From e12c08e8d170b7ca40f204a5b0423c23a9fbc2c1 Mon Sep 17 00:00:00 2001 From: Campbell Barton Date: Wed, 17 Apr 2019 06:17:24 +0200 Subject: ClangFormat: apply to source, most of intern Apply clang format as proposed in T53211. For details on usage and instructions for migrating branches without conflicts, see: https://wiki.blender.org/wiki/Tools/ClangFormat --- source/blender/draw/CMakeLists.txt | 250 +- source/blender/draw/DRW_engine.h | 116 +- source/blender/draw/engines/basic/basic_engine.c | 262 +- source/blender/draw/engines/eevee/eevee_bloom.c | 508 +- source/blender/draw/engines/eevee/eevee_data.c | 193 +- .../draw/engines/eevee/eevee_depth_of_field.c | 427 +- source/blender/draw/engines/eevee/eevee_effects.c | 933 +- source/blender/draw/engines/eevee/eevee_engine.c | 786 +- .../blender/draw/engines/eevee/eevee_lightcache.c | 1957 +- .../blender/draw/engines/eevee/eevee_lightcache.h | 32 +- .../blender/draw/engines/eevee/eevee_lightprobes.c | 2082 +- source/blender/draw/engines/eevee/eevee_lights.c | 2587 +- source/blender/draw/engines/eevee/eevee_lookdev.c | 390 +- source/blender/draw/engines/eevee/eevee_lut.h | 40658 +++++++++++-------- .../blender/draw/engines/eevee/eevee_materials.c | 3343 +- source/blender/draw/engines/eevee/eevee_mist.c | 160 +- .../blender/draw/engines/eevee/eevee_motion_blur.c | 324 +- .../blender/draw/engines/eevee/eevee_occlusion.c | 450 +- source/blender/draw/engines/eevee/eevee_private.h | 1428 +- source/blender/draw/engines/eevee/eevee_render.c | 1108 +- .../draw/engines/eevee/eevee_screen_raytrace.c | 518 +- source/blender/draw/engines/eevee/eevee_shaders.c | 329 +- .../blender/draw/engines/eevee/eevee_subsurface.c | 573 +- .../draw/engines/eevee/eevee_temporal_sampling.c | 508 +- source/blender/draw/engines/eevee/eevee_volumes.c | 1119 +- .../eevee/shaders/ambient_occlusion_lib.glsl | 398 +- .../engines/eevee/shaders/background_vert.glsl | 12 +- .../engines/eevee/shaders/bsdf_common_lib.glsl | 947 +- .../draw/engines/eevee/shaders/bsdf_lut_frag.glsl | 85 +- .../engines/eevee/shaders/bsdf_sampling_lib.glsl | 80 +- .../draw/engines/eevee/shaders/btdf_lut_frag.glsl | 82 +- .../engines/eevee/shaders/common_uniforms_lib.glsl | 113 +- .../eevee/shaders/concentric_samples_lib.glsl | 516 +- .../draw/engines/eevee/shaders/default_frag.glsl | 57 +- .../engines/eevee/shaders/default_world_frag.glsl | 55 +- .../engines/eevee/shaders/effect_bloom_frag.glsl | 176 +- .../engines/eevee/shaders/effect_dof_frag.glsl | 269 +- .../engines/eevee/shaders/effect_dof_vert.glsl | 178 +- .../eevee/shaders/effect_downsample_cube_frag.glsl | 31 +- .../eevee/shaders/effect_downsample_frag.glsl | 30 +- .../engines/eevee/shaders/effect_gtao_frag.glsl | 88 +- .../engines/eevee/shaders/effect_minmaxz_frag.glsl | 80 +- .../engines/eevee/shaders/effect_mist_frag.glsl | 32 +- .../eevee/shaders/effect_motion_blur_frag.glsl | 61 +- .../engines/eevee/shaders/effect_ssr_frag.glsl | 841 +- .../eevee/shaders/effect_subsurface_frag.glsl | 112 +- .../engines/eevee/shaders/effect_temporal_aa.glsl | 142 +- .../shaders/effect_velocity_resolve_frag.glsl | 18 +- .../draw/engines/eevee/shaders/irradiance_lib.glsl | 185 +- .../shaders/lightprobe_cube_display_frag.glsl | 17 +- .../shaders/lightprobe_cube_display_vert.glsl | 43 +- .../shaders/lightprobe_filter_diffuse_frag.glsl | 301 +- .../shaders/lightprobe_filter_glossy_frag.glsl | 113 +- .../shaders/lightprobe_filter_visibility_frag.glsl | 88 +- .../engines/eevee/shaders/lightprobe_geom.glsl | 54 +- .../shaders/lightprobe_grid_display_frag.glsl | 18 +- .../shaders/lightprobe_grid_display_vert.glsl | 48 +- .../eevee/shaders/lightprobe_grid_fill_frag.glsl | 16 +- .../draw/engines/eevee/shaders/lightprobe_lib.glsl | 405 +- .../shaders/lightprobe_planar_display_frag.glsl | 8 +- .../shaders/lightprobe_planar_display_vert.glsl | 6 +- .../shaders/lightprobe_planar_downsample_frag.glsl | 34 +- .../shaders/lightprobe_planar_downsample_geom.glsl | 23 +- .../shaders/lightprobe_planar_downsample_vert.glsl | 7 +- .../engines/eevee/shaders/lightprobe_vert.glsl | 7 +- .../draw/engines/eevee/shaders/lights_lib.glsl | 660 +- .../engines/eevee/shaders/lit_surface_frag.glsl | 633 +- .../engines/eevee/shaders/lit_surface_vert.glsl | 60 +- .../draw/engines/eevee/shaders/ltc_lib.glsl | 484 +- .../draw/engines/eevee/shaders/octahedron_lib.glsl | 36 +- .../draw/engines/eevee/shaders/prepass_frag.glsl | 120 +- .../draw/engines/eevee/shaders/prepass_vert.glsl | 36 +- .../draw/engines/eevee/shaders/raytrace_lib.glsl | 374 +- .../engines/eevee/shaders/shadow_copy_frag.glsl | 213 +- .../draw/engines/eevee/shaders/shadow_frag.glsl | 5 +- .../engines/eevee/shaders/shadow_store_frag.glsl | 398 +- .../draw/engines/eevee/shaders/shadow_vert.glsl | 19 +- .../draw/engines/eevee/shaders/ssr_lib.glsl | 99 +- .../engines/eevee/shaders/update_noise_frag.glsl | 12 +- .../engines/eevee/shaders/volumetric_frag.glsl | 45 +- .../engines/eevee/shaders/volumetric_geom.glsl | 94 +- .../eevee/shaders/volumetric_integration_frag.glsl | 90 +- .../draw/engines/eevee/shaders/volumetric_lib.glsl | 197 +- .../eevee/shaders/volumetric_resolve_frag.glsl | 8 +- .../eevee/shaders/volumetric_scatter_frag.glsl | 84 +- .../engines/eevee/shaders/volumetric_vert.glsl | 42 +- .../draw/engines/external/external_engine.c | 237 +- .../draw/engines/gpencil/gpencil_cache_utils.c | 510 +- .../draw/engines/gpencil/gpencil_draw_cache_impl.c | 1518 +- .../draw/engines/gpencil/gpencil_draw_utils.c | 3618 +- .../blender/draw/engines/gpencil/gpencil_engine.c | 1928 +- .../blender/draw/engines/gpencil/gpencil_engine.h | 708 +- .../blender/draw/engines/gpencil/gpencil_render.c | 567 +- .../draw/engines/gpencil/gpencil_shader_fx.c | 1877 +- .../gpencil/shaders/fx/gpencil_fx_blur_frag.glsl | 120 +- .../shaders/fx/gpencil_fx_colorize_frag.glsl | 122 +- .../gpencil/shaders/fx/gpencil_fx_flip_frag.glsl | 46 +- .../shaders/fx/gpencil_fx_glow_prepare_frag.glsl | 72 +- .../shaders/fx/gpencil_fx_glow_resolve_frag.glsl | 54 +- .../gpencil/shaders/fx/gpencil_fx_light_frag.glsl | 69 +- .../gpencil/shaders/fx/gpencil_fx_pixel_frag.glsl | 56 +- .../shaders/fx/gpencil_fx_rim_prepare_frag.glsl | 78 +- .../shaders/fx/gpencil_fx_rim_resolve_frag.glsl | 130 +- .../shaders/fx/gpencil_fx_shadow_prepare_frag.glsl | 105 +- .../shaders/fx/gpencil_fx_shadow_resolve_frag.glsl | 30 +- .../gpencil/shaders/fx/gpencil_fx_swirl_frag.glsl | 71 +- .../gpencil/shaders/fx/gpencil_fx_wave_frag.glsl | 48 +- .../gpencil/shaders/gpencil_background_frag.glsl | 6 +- .../gpencil/shaders/gpencil_blend_frag.glsl | 241 +- .../gpencil/shaders/gpencil_edit_point_frag.glsl | 16 +- .../gpencil/shaders/gpencil_edit_point_geom.glsl | 44 +- .../gpencil/shaders/gpencil_edit_point_vert.glsl | 6 +- .../engines/gpencil/shaders/gpencil_fill_frag.glsl | 284 +- .../engines/gpencil/shaders/gpencil_fill_vert.glsl | 6 +- .../gpencil/shaders/gpencil_paper_frag.glsl | 2 +- .../gpencil/shaders/gpencil_point_frag.glsl | 92 +- .../gpencil/shaders/gpencil_point_geom.glsl | 186 +- .../gpencil/shaders/gpencil_point_vert.glsl | 66 +- .../gpencil/shaders/gpencil_simple_mix_frag.glsl | 10 +- .../gpencil/shaders/gpencil_stroke_frag.glsl | 92 +- .../gpencil/shaders/gpencil_stroke_geom.glsl | 413 +- .../gpencil/shaders/gpencil_stroke_vert.glsl | 64 +- .../gpencil/shaders/gpencil_zdepth_mix_frag.glsl | 88 +- .../shaders/workbench_background_lib.glsl | 6 +- .../workbench/shaders/workbench_cavity_frag.glsl | 74 +- .../workbench/shaders/workbench_cavity_lib.glsl | 167 +- .../shaders/workbench_checkerboard_depth_frag.glsl | 34 +- .../workbench/shaders/workbench_common_lib.glsl | 190 +- .../workbench/shaders/workbench_curvature_lib.glsl | 51 +- .../workbench/shaders/workbench_data_lib.glsl | 30 +- .../workbench_deferred_background_frag.glsl | 39 +- .../shaders/workbench_deferred_composite_frag.glsl | 80 +- .../shaders/workbench_effect_dof_frag.glsl | 426 +- .../shaders/workbench_effect_fxaa_frag.glsl | 10 +- .../shaders/workbench_effect_taa_frag.glsl | 8 +- .../shaders/workbench_forward_composite_frag.glsl | 36 +- .../shaders/workbench_forward_depth_frag.glsl | 12 +- .../workbench_forward_transparent_accum_frag.glsl | 69 +- .../shaders/workbench_ghost_resolve_frag.glsl | 12 +- .../shaders/workbench_object_outline_lib.glsl | 12 +- .../workbench/shaders/workbench_prepass_frag.glsl | 52 +- .../workbench/shaders/workbench_prepass_vert.glsl | 58 +- .../shaders/workbench_shadow_caps_geom.glsl | 74 +- .../shaders/workbench_shadow_debug_frag.glsl | 11 +- .../workbench/shaders/workbench_shadow_geom.glsl | 116 +- .../workbench/shaders/workbench_shadow_vert.glsl | 18 +- .../workbench/shaders/workbench_volume_frag.glsl | 330 +- .../workbench/shaders/workbench_volume_vert.glsl | 26 +- .../shaders/workbench_world_light_lib.glsl | 149 +- source/blender/draw/engines/workbench/solid_mode.c | 79 +- .../draw/engines/workbench/transparent_mode.c | 57 +- .../draw/engines/workbench/workbench_data.c | 383 +- .../draw/engines/workbench/workbench_deferred.c | 2066 +- .../draw/engines/workbench/workbench_effect_aa.c | 131 +- .../draw/engines/workbench/workbench_effect_dof.c | 683 +- .../draw/engines/workbench/workbench_effect_fxaa.c | 30 +- .../draw/engines/workbench/workbench_effect_taa.c | 486 +- .../draw/engines/workbench/workbench_engine.c | 21 +- .../draw/engines/workbench/workbench_forward.c | 1141 +- .../draw/engines/workbench/workbench_materials.c | 442 +- .../draw/engines/workbench/workbench_private.h | 516 +- .../draw/engines/workbench/workbench_render.c | 288 +- .../draw/engines/workbench/workbench_studiolight.c | 498 +- .../draw/engines/workbench/workbench_volume.c | 323 +- source/blender/draw/intern/DRW_render.h | 710 +- source/blender/draw/intern/draw_anim_viz.c | 406 +- source/blender/draw/intern/draw_armature.c | 3356 +- source/blender/draw/intern/draw_cache.c | 5779 +-- source/blender/draw/intern/draw_cache.h | 61 +- source/blender/draw/intern/draw_cache_impl.h | 118 +- source/blender/draw/intern/draw_cache_impl_curve.c | 1636 +- .../blender/draw/intern/draw_cache_impl_displist.c | 1145 +- .../blender/draw/intern/draw_cache_impl_lattice.c | 752 +- source/blender/draw/intern/draw_cache_impl_mesh.c | 8639 ++-- .../blender/draw/intern/draw_cache_impl_metaball.c | 304 +- .../draw/intern/draw_cache_impl_particles.c | 2882 +- source/blender/draw/intern/draw_common.c | 1889 +- source/blender/draw/intern/draw_common.h | 301 +- source/blender/draw/intern/draw_debug.c | 227 +- source/blender/draw/intern/draw_hair.c | 421 +- source/blender/draw/intern/draw_hair_private.h | 79 +- source/blender/draw/intern/draw_instance_data.c | 600 +- source/blender/draw/intern/draw_instance_data.h | 23 +- source/blender/draw/intern/draw_manager.c | 4066 +- source/blender/draw/intern/draw_manager.h | 573 +- source/blender/draw/intern/draw_manager_data.c | 1593 +- source/blender/draw/intern/draw_manager_exec.c | 2301 +- .../blender/draw/intern/draw_manager_profiling.c | 523 +- source/blender/draw/intern/draw_manager_shader.c | 544 +- source/blender/draw/intern/draw_manager_text.c | 242 +- source/blender/draw/intern/draw_manager_text.h | 24 +- source/blender/draw/intern/draw_manager_texture.c | 167 +- source/blender/draw/intern/draw_view.c | 413 +- source/blender/draw/modes/edit_armature_mode.c | 273 +- source/blender/draw/modes/edit_curve_mode.c | 479 +- source/blender/draw/modes/edit_lattice_mode.c | 349 +- source/blender/draw/modes/edit_mesh_mode.c | 1341 +- source/blender/draw/modes/edit_mesh_mode_intern.h | 7 +- source/blender/draw/modes/edit_mesh_mode_text.c | 637 +- source/blender/draw/modes/edit_metaball_mode.c | 288 +- source/blender/draw/modes/edit_text_mode.c | 543 +- source/blender/draw/modes/object_mode.c | 6429 +-- source/blender/draw/modes/overlay_mode.c | 778 +- source/blender/draw/modes/paint_texture_mode.c | 535 +- source/blender/draw/modes/paint_vertex_mode.c | 519 +- source/blender/draw/modes/particle_mode.c | 278 +- source/blender/draw/modes/pose_mode.c | 452 +- source/blender/draw/modes/sculpt_mode.c | 291 +- .../modes/shaders/animviz_mpath_lines_geom.glsl | 40 +- .../modes/shaders/animviz_mpath_lines_vert.glsl | 118 +- .../modes/shaders/animviz_mpath_points_vert.glsl | 60 +- .../draw/modes/shaders/armature_axes_vert.glsl | 24 +- .../draw/modes/shaders/armature_dof_vert.glsl | 14 +- .../shaders/armature_envelope_distance_frag.glsl | 8 +- .../shaders/armature_envelope_outline_vert.glsl | 223 +- .../shaders/armature_envelope_solid_frag.glsl | 12 +- .../shaders/armature_envelope_solid_vert.glsl | 49 +- .../modes/shaders/armature_shape_outline_geom.glsl | 150 +- .../modes/shaders/armature_shape_outline_vert.glsl | 30 +- .../modes/shaders/armature_shape_solid_frag.glsl | 2 +- .../modes/shaders/armature_shape_solid_vert.glsl | 27 +- .../shaders/armature_sphere_outline_vert.glsl | 152 +- .../modes/shaders/armature_sphere_solid_frag.glsl | 105 +- .../modes/shaders/armature_sphere_solid_vert.glsl | 102 +- .../draw/modes/shaders/armature_stick_frag.glsl | 6 +- .../draw/modes/shaders/armature_stick_vert.glsl | 99 +- .../draw/modes/shaders/common_fullscreen_vert.glsl | 4 +- .../draw/modes/shaders/common_fxaa_lib.glsl | 1036 +- .../draw/modes/shaders/common_globals_lib.glsl | 175 +- .../draw/modes/shaders/common_hair_lib.glsl | 188 +- .../modes/shaders/common_hair_refine_vert.glsl | 68 +- .../draw/modes/shaders/common_view_lib.glsl | 21 +- .../shaders/edit_curve_overlay_handle_geom.glsl | 160 +- .../shaders/edit_curve_overlay_handle_vert.glsl | 8 +- .../shaders/edit_curve_overlay_loosevert_vert.glsl | 30 +- .../shaders/edit_curve_overlay_normals_vert.glsl | 16 +- .../modes/shaders/edit_lattice_overlay_frag.glsl | 20 +- .../edit_lattice_overlay_loosevert_vert.glsl | 21 +- .../shaders/edit_mesh_overlay_common_lib.glsl | 89 +- .../shaders/edit_mesh_overlay_facefill_frag.glsl | 2 +- .../shaders/edit_mesh_overlay_facefill_vert.glsl | 8 +- .../draw/modes/shaders/edit_mesh_overlay_frag.glsl | 18 +- .../draw/modes/shaders/edit_mesh_overlay_geom.glsl | 96 +- .../edit_mesh_overlay_ghost_clear_vert.glsl | 2 +- .../modes/shaders/edit_mesh_overlay_mix_frag.glsl | 18 +- .../draw/modes/shaders/edit_mesh_overlay_vert.glsl | 82 +- .../draw/modes/shaders/edit_normals_geom.glsl | 14 +- .../draw/modes/shaders/edit_normals_vert.glsl | 14 +- .../draw/modes/shaders/object_empty_axes_vert.glsl | 22 +- .../modes/shaders/object_empty_image_frag.glsl | 46 +- .../modes/shaders/object_empty_image_vert.glsl | 14 +- .../draw/modes/shaders/object_grid_frag.glsl | 316 +- .../draw/modes/shaders/object_grid_vert.glsl | 74 +- .../modes/shaders/object_lightprobe_grid_vert.glsl | 23 +- .../modes/shaders/object_loose_points_frag.glsl | 16 +- .../modes/shaders/object_mball_handles_vert.glsl | 22 +- .../modes/shaders/object_outline_detect_frag.glsl | 120 +- .../modes/shaders/object_outline_expand_frag.glsl | 54 +- .../modes/shaders/object_outline_prepass_frag.glsl | 2 +- .../modes/shaders/object_outline_prepass_geom.glsl | 52 +- .../modes/shaders/object_outline_prepass_vert.glsl | 10 +- .../modes/shaders/object_outline_resolve_frag.glsl | 14 +- .../modes/shaders/object_particle_dot_frag.glsl | 83 +- .../modes/shaders/object_particle_dot_vert.glsl | 32 +- .../modes/shaders/object_particle_prim_vert.glsl | 56 +- .../shaders/overlay_face_orientation_frag.glsl | 3 +- .../shaders/overlay_face_orientation_vert.glsl | 4 +- .../modes/shaders/overlay_face_wireframe_frag.glsl | 16 +- .../modes/shaders/overlay_face_wireframe_geom.glsl | 48 +- .../modes/shaders/overlay_face_wireframe_vert.glsl | 39 +- .../draw/modes/shaders/paint_face_vert.glsl | 16 +- .../draw/modes/shaders/paint_texture_frag.glsl | 30 +- .../draw/modes/shaders/paint_texture_vert.glsl | 8 +- .../draw/modes/shaders/paint_vert_frag.glsl | 16 +- .../draw/modes/shaders/paint_vertex_frag.glsl | 15 +- .../draw/modes/shaders/paint_vertex_vert.glsl | 17 +- .../draw/modes/shaders/paint_weight_frag.glsl | 128 +- .../draw/modes/shaders/paint_weight_vert.glsl | 8 +- .../draw/modes/shaders/paint_wire_frag.glsl | 2 +- .../draw/modes/shaders/paint_wire_vert.glsl | 40 +- .../draw/modes/shaders/particle_strand_frag.glsl | 12 +- .../draw/modes/shaders/particle_strand_vert.glsl | 82 +- .../draw/modes/shaders/sculpt_mask_vert.glsl | 6 +- .../draw/modes/shaders/volume_velocity_vert.glsl | 156 +- 284 files changed, 79603 insertions(+), 71623 deletions(-) (limited to 'source/blender/draw') diff --git a/source/blender/draw/CMakeLists.txt b/source/blender/draw/CMakeLists.txt index 91ea4d79a32..0d1752af4dc 100644 --- a/source/blender/draw/CMakeLists.txt +++ b/source/blender/draw/CMakeLists.txt @@ -19,142 +19,142 @@ # ***** END GPL LICENSE BLOCK ***** set(INC - . - intern - modes + . + intern + modes - ../blenfont - ../blenkernel - ../blenlib - ../blentranslation - ../bmesh - ../depsgraph - ../editors/include - ../editors/space_view3d - ../gpu - ../imbuf - ../makesdna - ../makesrna - ../render/extern/include - ../render/intern/include - ../windowmanager + ../blenfont + ../blenkernel + ../blenlib + ../blentranslation + ../bmesh + ../depsgraph + ../editors/include + ../editors/space_view3d + ../gpu + ../imbuf + ../makesdna + ../makesrna + ../render/extern/include + ../render/intern/include + ../windowmanager - ../../../intern/glew-mx - ../../../intern/guardedalloc - ../../../intern/atomic + ../../../intern/glew-mx + ../../../intern/guardedalloc + ../../../intern/atomic ) set(INC_SYS - ${GLEW_INCLUDE_PATH} + ${GLEW_INCLUDE_PATH} ) set(SRC - intern/draw_anim_viz.c - intern/draw_armature.c - intern/draw_cache.c - intern/draw_cache_impl_curve.c - intern/draw_cache_impl_displist.c - intern/draw_cache_impl_lattice.c - intern/draw_cache_impl_mesh.c - intern/draw_cache_impl_metaball.c - intern/draw_cache_impl_particles.c - intern/draw_common.c - intern/draw_debug.c - intern/draw_hair.c - intern/draw_instance_data.c - intern/draw_manager.c - intern/draw_manager_data.c - intern/draw_manager_exec.c - intern/draw_manager_profiling.c - intern/draw_manager_shader.c - intern/draw_manager_text.c - intern/draw_manager_texture.c - intern/draw_view.c - modes/edit_armature_mode.c - modes/edit_curve_mode.c - modes/edit_lattice_mode.c - modes/edit_mesh_mode.c - modes/edit_mesh_mode_text.c - modes/edit_metaball_mode.c - modes/edit_text_mode.c - modes/object_mode.c - modes/overlay_mode.c - modes/paint_texture_mode.c - modes/paint_vertex_mode.c - modes/particle_mode.c - modes/pose_mode.c - modes/sculpt_mode.c - engines/basic/basic_engine.c - engines/eevee/eevee_bloom.c - engines/eevee/eevee_data.c - engines/eevee/eevee_depth_of_field.c - engines/eevee/eevee_effects.c - engines/eevee/eevee_engine.c - engines/eevee/eevee_lightcache.c - engines/eevee/eevee_lightprobes.c - engines/eevee/eevee_lights.c - engines/eevee/eevee_lookdev.c - engines/eevee/eevee_materials.c - engines/eevee/eevee_mist.c - engines/eevee/eevee_motion_blur.c - engines/eevee/eevee_occlusion.c - engines/eevee/eevee_render.c - engines/eevee/eevee_screen_raytrace.c - engines/eevee/eevee_shaders.c - engines/eevee/eevee_subsurface.c - engines/eevee/eevee_temporal_sampling.c - engines/eevee/eevee_volumes.c - engines/workbench/solid_mode.c - engines/workbench/transparent_mode.c - engines/workbench/workbench_data.c - engines/workbench/workbench_deferred.c - engines/workbench/workbench_effect_aa.c - engines/workbench/workbench_effect_dof.c - engines/workbench/workbench_effect_fxaa.c - engines/workbench/workbench_effect_taa.c - engines/workbench/workbench_engine.c - engines/workbench/workbench_forward.c - engines/workbench/workbench_materials.c - engines/workbench/workbench_render.c - engines/workbench/workbench_studiolight.c - engines/workbench/workbench_volume.c - engines/external/external_engine.c - engines/gpencil/gpencil_cache_utils.c - engines/gpencil/gpencil_draw_cache_impl.c - engines/gpencil/gpencil_draw_utils.c - engines/gpencil/gpencil_engine.c - engines/gpencil/gpencil_engine.h - engines/gpencil/gpencil_render.c - engines/gpencil/gpencil_shader_fx.c + intern/draw_anim_viz.c + intern/draw_armature.c + intern/draw_cache.c + intern/draw_cache_impl_curve.c + intern/draw_cache_impl_displist.c + intern/draw_cache_impl_lattice.c + intern/draw_cache_impl_mesh.c + intern/draw_cache_impl_metaball.c + intern/draw_cache_impl_particles.c + intern/draw_common.c + intern/draw_debug.c + intern/draw_hair.c + intern/draw_instance_data.c + intern/draw_manager.c + intern/draw_manager_data.c + intern/draw_manager_exec.c + intern/draw_manager_profiling.c + intern/draw_manager_shader.c + intern/draw_manager_text.c + intern/draw_manager_texture.c + intern/draw_view.c + modes/edit_armature_mode.c + modes/edit_curve_mode.c + modes/edit_lattice_mode.c + modes/edit_mesh_mode.c + modes/edit_mesh_mode_text.c + modes/edit_metaball_mode.c + modes/edit_text_mode.c + modes/object_mode.c + modes/overlay_mode.c + modes/paint_texture_mode.c + modes/paint_vertex_mode.c + modes/particle_mode.c + modes/pose_mode.c + modes/sculpt_mode.c + engines/basic/basic_engine.c + engines/eevee/eevee_bloom.c + engines/eevee/eevee_data.c + engines/eevee/eevee_depth_of_field.c + engines/eevee/eevee_effects.c + engines/eevee/eevee_engine.c + engines/eevee/eevee_lightcache.c + engines/eevee/eevee_lightprobes.c + engines/eevee/eevee_lights.c + engines/eevee/eevee_lookdev.c + engines/eevee/eevee_materials.c + engines/eevee/eevee_mist.c + engines/eevee/eevee_motion_blur.c + engines/eevee/eevee_occlusion.c + engines/eevee/eevee_render.c + engines/eevee/eevee_screen_raytrace.c + engines/eevee/eevee_shaders.c + engines/eevee/eevee_subsurface.c + engines/eevee/eevee_temporal_sampling.c + engines/eevee/eevee_volumes.c + engines/workbench/solid_mode.c + engines/workbench/transparent_mode.c + engines/workbench/workbench_data.c + engines/workbench/workbench_deferred.c + engines/workbench/workbench_effect_aa.c + engines/workbench/workbench_effect_dof.c + engines/workbench/workbench_effect_fxaa.c + engines/workbench/workbench_effect_taa.c + engines/workbench/workbench_engine.c + engines/workbench/workbench_forward.c + engines/workbench/workbench_materials.c + engines/workbench/workbench_render.c + engines/workbench/workbench_studiolight.c + engines/workbench/workbench_volume.c + engines/external/external_engine.c + engines/gpencil/gpencil_cache_utils.c + engines/gpencil/gpencil_draw_cache_impl.c + engines/gpencil/gpencil_draw_utils.c + engines/gpencil/gpencil_engine.c + engines/gpencil/gpencil_engine.h + engines/gpencil/gpencil_render.c + engines/gpencil/gpencil_shader_fx.c - DRW_engine.h - intern/DRW_render.h - intern/draw_cache.h - intern/draw_cache_impl.h - intern/draw_common.h - intern/draw_debug.h - intern/draw_hair_private.h - intern/draw_instance_data.h - intern/draw_manager.h - intern/draw_manager_profiling.h - intern/draw_manager_text.h - intern/draw_view.h - modes/draw_mode_engines.h - modes/edit_mesh_mode_intern.h - engines/basic/basic_engine.h - engines/eevee/eevee_engine.h - engines/eevee/eevee_lightcache.h - engines/eevee/eevee_lut.h - engines/eevee/eevee_private.h - engines/external/external_engine.h - engines/workbench/workbench_engine.h - engines/workbench/workbench_private.h + DRW_engine.h + intern/DRW_render.h + intern/draw_cache.h + intern/draw_cache_impl.h + intern/draw_common.h + intern/draw_debug.h + intern/draw_hair_private.h + intern/draw_instance_data.h + intern/draw_manager.h + intern/draw_manager_profiling.h + intern/draw_manager_text.h + intern/draw_view.h + modes/draw_mode_engines.h + modes/edit_mesh_mode_intern.h + engines/basic/basic_engine.h + engines/eevee/eevee_engine.h + engines/eevee/eevee_lightcache.h + engines/eevee/eevee_lut.h + engines/eevee/eevee_private.h + engines/external/external_engine.h + engines/workbench/workbench_engine.h + engines/workbench/workbench_private.h ) set(LIB - bf_blenkernel - bf_blenlib - bf_windowmanager + bf_blenkernel + bf_blenlib + bf_windowmanager ) data_to_c_simple(engines/eevee/shaders/ambient_occlusion_lib.glsl SRC) @@ -358,7 +358,7 @@ list(APPEND INC ) if(WITH_FREESTYLE) - add_definitions(-DWITH_FREESTYLE) + add_definitions(-DWITH_FREESTYLE) endif() blender_add_lib(bf_draw "${SRC}" "${INC}" "${INC_SYS}" "${LIB}") diff --git a/source/blender/draw/DRW_engine.h b/source/blender/draw/DRW_engine.h index f5e679a4e73..161e28db2d3 100644 --- a/source/blender/draw/DRW_engine.h +++ b/source/blender/draw/DRW_engine.h @@ -23,7 +23,7 @@ #ifndef __DRW_ENGINE_H__ #define __DRW_ENGINE_H__ -#include "BLI_sys_types.h" /* for bool */ +#include "BLI_sys_types.h" /* for bool */ struct ARegion; struct DRWInstanceDataList; @@ -53,17 +53,17 @@ struct rcti; /* Buffer and textures used by the viewport by default */ typedef struct DefaultFramebufferList { - struct GPUFrameBuffer *default_fb; - struct GPUFrameBuffer *color_only_fb; - struct GPUFrameBuffer *depth_only_fb; - struct GPUFrameBuffer *multisample_fb; + struct GPUFrameBuffer *default_fb; + struct GPUFrameBuffer *color_only_fb; + struct GPUFrameBuffer *depth_only_fb; + struct GPUFrameBuffer *multisample_fb; } DefaultFramebufferList; typedef struct DefaultTextureList { - struct GPUTexture *color; - struct GPUTexture *depth; - struct GPUTexture *multisample_color; - struct GPUTexture *multisample_depth; + struct GPUTexture *color; + struct GPUTexture *depth; + struct GPUTexture *multisample_color; + struct GPUTexture *multisample_depth; } DefaultTextureList; void DRW_engines_register(void); @@ -72,62 +72,66 @@ void DRW_engines_free(void); bool DRW_engine_render_support(struct DrawEngineType *draw_engine_type); void DRW_engine_register(struct DrawEngineType *draw_engine_type); void DRW_engine_viewport_data_size_get( - const void *engine_type, - int *r_fbl_len, int *r_txl_len, int *r_psl_len, int *r_stl_len); + const void *engine_type, int *r_fbl_len, int *r_txl_len, int *r_psl_len, int *r_stl_len); typedef struct DRWUpdateContext { - struct Main *bmain; - struct Depsgraph *depsgraph; - struct Scene *scene; - struct ViewLayer *view_layer; - struct ARegion *ar; - struct View3D *v3d; - struct RenderEngineType *engine_type; + struct Main *bmain; + struct Depsgraph *depsgraph; + struct Scene *scene; + struct ViewLayer *view_layer; + struct ARegion *ar; + struct View3D *v3d; + struct RenderEngineType *engine_type; } DRWUpdateContext; void DRW_notify_view_update(const DRWUpdateContext *update_ctx); - -typedef enum eDRWSelectStage { DRW_SELECT_PASS_PRE = 1, DRW_SELECT_PASS_POST, } eDRWSelectStage; -typedef bool (*DRW_SelectPassFn)( - eDRWSelectStage stage, void *user_data); -typedef bool (*DRW_ObjectFilterFn)( - struct Object *ob, void *user_data); +typedef enum eDRWSelectStage { + DRW_SELECT_PASS_PRE = 1, + DRW_SELECT_PASS_POST, +} eDRWSelectStage; +typedef bool (*DRW_SelectPassFn)(eDRWSelectStage stage, void *user_data); +typedef bool (*DRW_ObjectFilterFn)(struct Object *ob, void *user_data); void DRW_draw_view(const struct bContext *C); void DRW_draw_region_engine_info(int xoffset, int yoffset); -void DRW_draw_render_loop_ex( - struct Depsgraph *depsgraph, - struct RenderEngineType *engine_type, - struct ARegion *ar, struct View3D *v3d, - struct GPUViewport *viewport, - const struct bContext *evil_C); -void DRW_draw_render_loop( - struct Depsgraph *depsgraph, - struct ARegion *ar, struct View3D *v3d, - struct GPUViewport *viewport); -void DRW_draw_render_loop_offscreen( - struct Depsgraph *depsgraph, - struct RenderEngineType *engine_type, - struct ARegion *ar, struct View3D *v3d, - const bool draw_background, - const bool do_color_management, - struct GPUOffScreen *ofs, - struct GPUViewport *viewport); -void DRW_draw_select_loop( - struct Depsgraph *depsgraph, - struct ARegion *ar, struct View3D *v3d, - bool use_obedit_skip, bool draw_surface, bool use_nearest, const struct rcti *rect, - DRW_SelectPassFn select_pass_fn, void *select_pass_user_data, - DRW_ObjectFilterFn object_filter_fn, void *object_filter_user_data); -void DRW_draw_depth_loop( - struct Depsgraph *depsgraph, - struct ARegion *ar, struct View3D *v3d, - struct GPUViewport *viewport); -void DRW_draw_depth_loop_gpencil( - struct Depsgraph *depsgraph, - struct ARegion *ar, struct View3D *v3d, - struct GPUViewport *viewport); +void DRW_draw_render_loop_ex(struct Depsgraph *depsgraph, + struct RenderEngineType *engine_type, + struct ARegion *ar, + struct View3D *v3d, + struct GPUViewport *viewport, + const struct bContext *evil_C); +void DRW_draw_render_loop(struct Depsgraph *depsgraph, + struct ARegion *ar, + struct View3D *v3d, + struct GPUViewport *viewport); +void DRW_draw_render_loop_offscreen(struct Depsgraph *depsgraph, + struct RenderEngineType *engine_type, + struct ARegion *ar, + struct View3D *v3d, + const bool draw_background, + const bool do_color_management, + struct GPUOffScreen *ofs, + struct GPUViewport *viewport); +void DRW_draw_select_loop(struct Depsgraph *depsgraph, + struct ARegion *ar, + struct View3D *v3d, + bool use_obedit_skip, + bool draw_surface, + bool use_nearest, + const struct rcti *rect, + DRW_SelectPassFn select_pass_fn, + void *select_pass_user_data, + DRW_ObjectFilterFn object_filter_fn, + void *object_filter_user_data); +void DRW_draw_depth_loop(struct Depsgraph *depsgraph, + struct ARegion *ar, + struct View3D *v3d, + struct GPUViewport *viewport); +void DRW_draw_depth_loop_gpencil(struct Depsgraph *depsgraph, + struct ARegion *ar, + struct View3D *v3d, + struct GPUViewport *viewport); void DRW_framebuffer_select_id_setup(struct ARegion *ar, const bool clear); void DRW_framebuffer_select_id_release(struct ARegion *ar); diff --git a/source/blender/draw/engines/basic/basic_engine.c b/source/blender/draw/engines/basic/basic_engine.c index 91e73e05dbe..16788c10680 100644 --- a/source/blender/draw/engines/basic/basic_engine.c +++ b/source/blender/draw/engines/basic/basic_engine.c @@ -41,191 +41,195 @@ /* GPUViewport.storage * Is freed everytime the viewport engine changes */ typedef struct BASIC_StorageList { - struct BASIC_PrivateData *g_data; + struct BASIC_PrivateData *g_data; } BASIC_StorageList; typedef struct BASIC_PassList { - struct DRWPass *depth_pass; - struct DRWPass *depth_pass_cull; + struct DRWPass *depth_pass; + struct DRWPass *depth_pass_cull; } BASIC_PassList; typedef struct BASIC_Data { - void *engine_type; - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - BASIC_PassList *psl; - BASIC_StorageList *stl; + void *engine_type; + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + BASIC_PassList *psl; + BASIC_StorageList *stl; } BASIC_Data; typedef struct BASIC_Shaders { - /* Depth Pre Pass */ - struct GPUShader *depth; + /* Depth Pre Pass */ + struct GPUShader *depth; } BASIC_Shaders; /* *********** STATIC *********** */ static struct { - BASIC_Shaders sh_data[GPU_SHADER_CFG_LEN]; + BASIC_Shaders sh_data[GPU_SHADER_CFG_LEN]; } e_data = {{{NULL}}}; /* Engine data */ typedef struct BASIC_PrivateData { - DRWShadingGroup *depth_shgrp; - DRWShadingGroup *depth_shgrp_cull; - DRWShadingGroup *depth_shgrp_hair; + DRWShadingGroup *depth_shgrp; + DRWShadingGroup *depth_shgrp_cull; + DRWShadingGroup *depth_shgrp_hair; } BASIC_PrivateData; /* Transient data */ /* Functions */ static void basic_engine_init(void *UNUSED(vedata)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - BASIC_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + const DRWContextState *draw_ctx = DRW_context_state_get(); + BASIC_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - /* Depth prepass */ - if (!sh_data->depth) { - sh_data->depth = DRW_shader_create_3d_depth_only(draw_ctx->sh_cfg); - } + /* Depth prepass */ + if (!sh_data->depth) { + sh_data->depth = DRW_shader_create_3d_depth_only(draw_ctx->sh_cfg); + } } static void basic_cache_init(void *vedata) { - BASIC_PassList *psl = ((BASIC_Data *)vedata)->psl; - BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - BASIC_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - const RegionView3D *rv3d = draw_ctx->rv3d; - - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - { - psl->depth_pass = DRW_pass_create( - "Depth Pass", DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); - stl->g_data->depth_shgrp = DRW_shgroup_create(sh_data->depth, psl->depth_pass); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp, rv3d); - } - - psl->depth_pass_cull = DRW_pass_create( - "Depth Pass Cull", - DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK); - stl->g_data->depth_shgrp_cull = DRW_shgroup_create(sh_data->depth, psl->depth_pass_cull); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_cull, rv3d); - } - } + BASIC_PassList *psl = ((BASIC_Data *)vedata)->psl; + BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + BASIC_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + const RegionView3D *rv3d = draw_ctx->rv3d; + + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + { + psl->depth_pass = DRW_pass_create( + "Depth Pass", DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); + stl->g_data->depth_shgrp = DRW_shgroup_create(sh_data->depth, psl->depth_pass); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp, rv3d); + } + + psl->depth_pass_cull = DRW_pass_create("Depth Pass Cull", + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_BACK); + stl->g_data->depth_shgrp_cull = DRW_shgroup_create(sh_data->depth, psl->depth_pass_cull); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_cull, rv3d); + } + } } static void basic_cache_populate(void *vedata, Object *ob) { - BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; - - /* TODO(fclem) fix selection of smoke domains. */ - - if (!DRW_object_is_renderable(ob) || (ob->dt < OB_SOLID)) { - return; - } - - const DRWContextState *draw_ctx = DRW_context_state_get(); - if (ob != draw_ctx->object_edit) { - for (ParticleSystem *psys = ob->particlesystem.first; - psys != NULL; - psys = psys->next) - { - if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { - continue; - } - ParticleSettings *part = psys->part; - const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; - if (draw_as == PART_DRAW_PATH) { - struct GPUBatch *hairs = DRW_cache_particles_get_hair(ob, psys, NULL); - DRW_shgroup_call_add(stl->g_data->depth_shgrp, hairs, NULL); - } - } - } - - /* Make flat object selectable in ortho view if wireframe is enabled. */ - if ((draw_ctx->v3d->overlay.flag & V3D_OVERLAY_WIREFRAMES) || - (draw_ctx->v3d->shading.type == OB_WIRE) || - (ob->dtx & OB_DRAWWIRE) || - (ob->dt == OB_WIRE)) - { - int flat_axis = 0; - bool is_flat_object_viewed_from_side = ( - (draw_ctx->rv3d->persp == RV3D_ORTHO) && - DRW_object_is_flat(ob, &flat_axis) && - DRW_object_axis_orthogonal_to_view(ob, flat_axis)); - - if (is_flat_object_viewed_from_side) { - /* Avoid losing flat objects when in ortho views (see T56549) */ - struct GPUBatch *geom = DRW_cache_object_all_edges_get(ob); - DRW_shgroup_call_object_add(stl->g_data->depth_shgrp, geom, ob); - return; - } - } - - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - const bool do_cull = (draw_ctx->v3d && (draw_ctx->v3d->shading.flag & V3D_SHADING_BACKFACE_CULLING)); - /* Depth Prepass */ - DRW_shgroup_call_add((do_cull) ? stl->g_data->depth_shgrp_cull : stl->g_data->depth_shgrp, geom, ob->obmat); - } + BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; + + /* TODO(fclem) fix selection of smoke domains. */ + + if (!DRW_object_is_renderable(ob) || (ob->dt < OB_SOLID)) { + return; + } + + const DRWContextState *draw_ctx = DRW_context_state_get(); + if (ob != draw_ctx->object_edit) { + for (ParticleSystem *psys = ob->particlesystem.first; psys != NULL; psys = psys->next) { + if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { + continue; + } + ParticleSettings *part = psys->part; + const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; + if (draw_as == PART_DRAW_PATH) { + struct GPUBatch *hairs = DRW_cache_particles_get_hair(ob, psys, NULL); + DRW_shgroup_call_add(stl->g_data->depth_shgrp, hairs, NULL); + } + } + } + + /* Make flat object selectable in ortho view if wireframe is enabled. */ + if ((draw_ctx->v3d->overlay.flag & V3D_OVERLAY_WIREFRAMES) || + (draw_ctx->v3d->shading.type == OB_WIRE) || (ob->dtx & OB_DRAWWIRE) || (ob->dt == OB_WIRE)) { + int flat_axis = 0; + bool is_flat_object_viewed_from_side = ((draw_ctx->rv3d->persp == RV3D_ORTHO) && + DRW_object_is_flat(ob, &flat_axis) && + DRW_object_axis_orthogonal_to_view(ob, flat_axis)); + + if (is_flat_object_viewed_from_side) { + /* Avoid losing flat objects when in ortho views (see T56549) */ + struct GPUBatch *geom = DRW_cache_object_all_edges_get(ob); + DRW_shgroup_call_object_add(stl->g_data->depth_shgrp, geom, ob); + return; + } + } + + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + const bool do_cull = (draw_ctx->v3d && + (draw_ctx->v3d->shading.flag & V3D_SHADING_BACKFACE_CULLING)); + /* Depth Prepass */ + DRW_shgroup_call_add( + (do_cull) ? stl->g_data->depth_shgrp_cull : stl->g_data->depth_shgrp, geom, ob->obmat); + } } static void basic_cache_finish(void *vedata) { - BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; + BASIC_StorageList *stl = ((BASIC_Data *)vedata)->stl; - UNUSED_VARS(stl); + UNUSED_VARS(stl); } static void basic_draw_scene(void *vedata) { - BASIC_PassList *psl = ((BASIC_Data *)vedata)->psl; + BASIC_PassList *psl = ((BASIC_Data *)vedata)->psl; - DRW_draw_pass(psl->depth_pass); - DRW_draw_pass(psl->depth_pass_cull); + DRW_draw_pass(psl->depth_pass); + DRW_draw_pass(psl->depth_pass_cull); } static void basic_engine_free(void) { - /* all shaders are builtin */ + /* all shaders are builtin */ } static const DrawEngineDataSize basic_data_size = DRW_VIEWPORT_DATA_SIZE(BASIC_Data); DrawEngineType draw_engine_basic_type = { - NULL, NULL, - N_("Basic"), - &basic_data_size, - &basic_engine_init, - &basic_engine_free, - &basic_cache_init, - &basic_cache_populate, - &basic_cache_finish, - NULL, - &basic_draw_scene, - NULL, - NULL, - NULL, + NULL, + NULL, + N_("Basic"), + &basic_data_size, + &basic_engine_init, + &basic_engine_free, + &basic_cache_init, + &basic_cache_populate, + &basic_cache_finish, + NULL, + &basic_draw_scene, + NULL, + NULL, + NULL, }; /* Note: currently unused, we may want to register so we can see this when debugging the view. */ RenderEngineType DRW_engine_viewport_basic_type = { - NULL, NULL, - BASIC_ENGINE, N_("Basic"), RE_INTERNAL, - NULL, NULL, NULL, NULL, NULL, NULL, NULL, - &draw_engine_basic_type, - {NULL, NULL, NULL}, + NULL, + NULL, + BASIC_ENGINE, + N_("Basic"), + RE_INTERNAL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + &draw_engine_basic_type, + {NULL, NULL, NULL}, }; - #undef BASIC_ENGINE diff --git a/source/blender/draw/engines/eevee/eevee_bloom.c b/source/blender/draw/engines/eevee/eevee_bloom.c index cd3e1cd6503..e5d33daa0d0 100644 --- a/source/blender/draw/engines/eevee/eevee_bloom.c +++ b/source/blender/draw/engines/eevee/eevee_bloom.c @@ -31,298 +31,302 @@ #include "eevee_private.h" static struct { - /* Bloom */ - struct GPUShader *bloom_blit_sh[2]; - struct GPUShader *bloom_downsample_sh[2]; - struct GPUShader *bloom_upsample_sh[2]; - struct GPUShader *bloom_resolve_sh[2]; + /* Bloom */ + struct GPUShader *bloom_blit_sh[2]; + struct GPUShader *bloom_downsample_sh[2]; + struct GPUShader *bloom_upsample_sh[2]; + struct GPUShader *bloom_resolve_sh[2]; } e_data = {{NULL}}; /* Engine data */ extern char datatoc_effect_bloom_frag_glsl[]; static void eevee_create_shader_bloom(void) { - e_data.bloom_blit_sh[0] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_BLIT\n"); - e_data.bloom_blit_sh[1] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_BLIT\n" - "#define HIGH_QUALITY\n"); - - e_data.bloom_downsample_sh[0] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_DOWNSAMPLE\n"); - e_data.bloom_downsample_sh[1] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_DOWNSAMPLE\n" - "#define HIGH_QUALITY\n"); - - e_data.bloom_upsample_sh[0] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_UPSAMPLE\n"); - e_data.bloom_upsample_sh[1] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_UPSAMPLE\n" - "#define HIGH_QUALITY\n"); - - e_data.bloom_resolve_sh[0] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_RESOLVE\n"); - e_data.bloom_resolve_sh[1] = DRW_shader_create_fullscreen( - datatoc_effect_bloom_frag_glsl, - "#define STEP_RESOLVE\n" - "#define HIGH_QUALITY\n"); + e_data.bloom_blit_sh[0] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_BLIT\n"); + e_data.bloom_blit_sh[1] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_BLIT\n" + "#define HIGH_QUALITY\n"); + + e_data.bloom_downsample_sh[0] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_DOWNSAMPLE\n"); + e_data.bloom_downsample_sh[1] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_DOWNSAMPLE\n" + "#define HIGH_QUALITY\n"); + + e_data.bloom_upsample_sh[0] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_UPSAMPLE\n"); + e_data.bloom_upsample_sh[1] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_UPSAMPLE\n" + "#define HIGH_QUALITY\n"); + + e_data.bloom_resolve_sh[0] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_RESOLVE\n"); + e_data.bloom_resolve_sh[1] = DRW_shader_create_fullscreen(datatoc_effect_bloom_frag_glsl, + "#define STEP_RESOLVE\n" + "#define HIGH_QUALITY\n"); } int EEVEE_bloom_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_EffectsInfo *effects = stl->effects; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_BLOOM_ENABLED) { - const float *viewport_size = DRW_viewport_size_get(); - - /* Shaders */ - if (!e_data.bloom_blit_sh[0]) { - eevee_create_shader_bloom(); - } - - /* Bloom */ - int blitsize[2], texsize[2]; - - /* Blit Buffer */ - effects->source_texel_size[0] = 1.0f / viewport_size[0]; - effects->source_texel_size[1] = 1.0f / viewport_size[1]; - - blitsize[0] = (int)viewport_size[0]; - blitsize[1] = (int)viewport_size[1]; - - effects->blit_texel_size[0] = 1.0f / (float)blitsize[0]; - effects->blit_texel_size[1] = 1.0f / (float)blitsize[1]; - - effects->bloom_blit = DRW_texture_pool_query_2d(blitsize[0], blitsize[1], GPU_R11F_G11F_B10F, - &draw_engine_eevee_type); - - GPU_framebuffer_ensure_config(&fbl->bloom_blit_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->bloom_blit) - }); - - /* Parameters */ - const float threshold = scene_eval->eevee.bloom_threshold; - const float knee = scene_eval->eevee.bloom_knee; - const float intensity = scene_eval->eevee.bloom_intensity; - const float *color = scene_eval->eevee.bloom_color; - const float radius = scene_eval->eevee.bloom_radius; - effects->bloom_clamp = scene_eval->eevee.bloom_clamp; - - /* determine the iteration count */ - const float minDim = (float)MIN2(blitsize[0], blitsize[1]); - const float maxIter = (radius - 8.0f) + log(minDim) / log(2); - const int maxIterInt = effects->bloom_iteration_len = (int)maxIter; - - CLAMP(effects->bloom_iteration_len, 1, MAX_BLOOM_STEP); - - effects->bloom_sample_scale = 0.5f + maxIter - (float)maxIterInt; - effects->bloom_curve_threshold[0] = threshold - knee; - effects->bloom_curve_threshold[1] = knee * 2.0f; - effects->bloom_curve_threshold[2] = 0.25f / max_ff(1e-5f, knee); - effects->bloom_curve_threshold[3] = threshold; - - mul_v3_v3fl(effects->bloom_color, color, intensity); - - /* Downsample buffers */ - copy_v2_v2_int(texsize, blitsize); - for (int i = 0; i < effects->bloom_iteration_len; ++i) { - texsize[0] /= 2; texsize[1] /= 2; - - texsize[0] = MAX2(texsize[0], 2); - texsize[1] = MAX2(texsize[1], 2); - - effects->downsamp_texel_size[i][0] = 1.0f / (float)texsize[0]; - effects->downsamp_texel_size[i][1] = 1.0f / (float)texsize[1]; - - effects->bloom_downsample[i] = DRW_texture_pool_query_2d(texsize[0], texsize[1], GPU_R11F_G11F_B10F, - &draw_engine_eevee_type); - GPU_framebuffer_ensure_config(&fbl->bloom_down_fb[i], { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->bloom_downsample[i]) - }); - } - - /* Upsample buffers */ - copy_v2_v2_int(texsize, blitsize); - for (int i = 0; i < effects->bloom_iteration_len - 1; ++i) { - texsize[0] /= 2; texsize[1] /= 2; - - texsize[0] = MAX2(texsize[0], 2); - texsize[1] = MAX2(texsize[1], 2); - - effects->bloom_upsample[i] = DRW_texture_pool_query_2d(texsize[0], texsize[1], GPU_R11F_G11F_B10F, - &draw_engine_eevee_type); - GPU_framebuffer_ensure_config(&fbl->bloom_accum_fb[i], { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->bloom_upsample[i]) - }); - } - - return EFFECT_BLOOM | EFFECT_POST_BUFFER; - } - - /* Cleanup to release memory */ - GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_blit_fb); - - for (int i = 0; i < MAX_BLOOM_STEP - 1; ++i) { - GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_down_fb[i]); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_accum_fb[i]); - } - - return 0; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_EffectsInfo *effects = stl->effects; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_BLOOM_ENABLED) { + const float *viewport_size = DRW_viewport_size_get(); + + /* Shaders */ + if (!e_data.bloom_blit_sh[0]) { + eevee_create_shader_bloom(); + } + + /* Bloom */ + int blitsize[2], texsize[2]; + + /* Blit Buffer */ + effects->source_texel_size[0] = 1.0f / viewport_size[0]; + effects->source_texel_size[1] = 1.0f / viewport_size[1]; + + blitsize[0] = (int)viewport_size[0]; + blitsize[1] = (int)viewport_size[1]; + + effects->blit_texel_size[0] = 1.0f / (float)blitsize[0]; + effects->blit_texel_size[1] = 1.0f / (float)blitsize[1]; + + effects->bloom_blit = DRW_texture_pool_query_2d( + blitsize[0], blitsize[1], GPU_R11F_G11F_B10F, &draw_engine_eevee_type); + + GPU_framebuffer_ensure_config( + &fbl->bloom_blit_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->bloom_blit)}); + + /* Parameters */ + const float threshold = scene_eval->eevee.bloom_threshold; + const float knee = scene_eval->eevee.bloom_knee; + const float intensity = scene_eval->eevee.bloom_intensity; + const float *color = scene_eval->eevee.bloom_color; + const float radius = scene_eval->eevee.bloom_radius; + effects->bloom_clamp = scene_eval->eevee.bloom_clamp; + + /* determine the iteration count */ + const float minDim = (float)MIN2(blitsize[0], blitsize[1]); + const float maxIter = (radius - 8.0f) + log(minDim) / log(2); + const int maxIterInt = effects->bloom_iteration_len = (int)maxIter; + + CLAMP(effects->bloom_iteration_len, 1, MAX_BLOOM_STEP); + + effects->bloom_sample_scale = 0.5f + maxIter - (float)maxIterInt; + effects->bloom_curve_threshold[0] = threshold - knee; + effects->bloom_curve_threshold[1] = knee * 2.0f; + effects->bloom_curve_threshold[2] = 0.25f / max_ff(1e-5f, knee); + effects->bloom_curve_threshold[3] = threshold; + + mul_v3_v3fl(effects->bloom_color, color, intensity); + + /* Downsample buffers */ + copy_v2_v2_int(texsize, blitsize); + for (int i = 0; i < effects->bloom_iteration_len; ++i) { + texsize[0] /= 2; + texsize[1] /= 2; + + texsize[0] = MAX2(texsize[0], 2); + texsize[1] = MAX2(texsize[1], 2); + + effects->downsamp_texel_size[i][0] = 1.0f / (float)texsize[0]; + effects->downsamp_texel_size[i][1] = 1.0f / (float)texsize[1]; + + effects->bloom_downsample[i] = DRW_texture_pool_query_2d( + texsize[0], texsize[1], GPU_R11F_G11F_B10F, &draw_engine_eevee_type); + GPU_framebuffer_ensure_config( + &fbl->bloom_down_fb[i], + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->bloom_downsample[i])}); + } + + /* Upsample buffers */ + copy_v2_v2_int(texsize, blitsize); + for (int i = 0; i < effects->bloom_iteration_len - 1; ++i) { + texsize[0] /= 2; + texsize[1] /= 2; + + texsize[0] = MAX2(texsize[0], 2); + texsize[1] = MAX2(texsize[1], 2); + + effects->bloom_upsample[i] = DRW_texture_pool_query_2d( + texsize[0], texsize[1], GPU_R11F_G11F_B10F, &draw_engine_eevee_type); + GPU_framebuffer_ensure_config( + &fbl->bloom_accum_fb[i], + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->bloom_upsample[i])}); + } + + return EFFECT_BLOOM | EFFECT_POST_BUFFER; + } + + /* Cleanup to release memory */ + GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_blit_fb); + + for (int i = 0; i < MAX_BLOOM_STEP - 1; ++i) { + GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_down_fb[i]); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->bloom_accum_fb[i]); + } + + return 0; } -static DRWShadingGroup *eevee_create_bloom_pass( - const char *name, EEVEE_EffectsInfo *effects, struct GPUShader *sh, DRWPass **pass, bool upsample) +static DRWShadingGroup *eevee_create_bloom_pass(const char *name, + EEVEE_EffectsInfo *effects, + struct GPUShader *sh, + DRWPass **pass, + bool upsample) { - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - *pass = DRW_pass_create(name, DRW_STATE_WRITE_COLOR); + *pass = DRW_pass_create(name, DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(sh, *pass); - DRW_shgroup_call_add(grp, quad, NULL); - DRW_shgroup_uniform_texture_ref(grp, "sourceBuffer", &effects->unf_source_buffer); - DRW_shgroup_uniform_vec2(grp, "sourceBufferTexelSize", effects->unf_source_texel_size, 1); - if (upsample) { - DRW_shgroup_uniform_texture_ref(grp, "baseBuffer", &effects->unf_base_buffer); - DRW_shgroup_uniform_float(grp, "sampleScale", &effects->bloom_sample_scale, 1); - } + DRWShadingGroup *grp = DRW_shgroup_create(sh, *pass); + DRW_shgroup_call_add(grp, quad, NULL); + DRW_shgroup_uniform_texture_ref(grp, "sourceBuffer", &effects->unf_source_buffer); + DRW_shgroup_uniform_vec2(grp, "sourceBufferTexelSize", effects->unf_source_texel_size, 1); + if (upsample) { + DRW_shgroup_uniform_texture_ref(grp, "baseBuffer", &effects->unf_base_buffer); + DRW_shgroup_uniform_float(grp, "sampleScale", &effects->bloom_sample_scale, 1); + } - return grp; + return grp; } void EEVEE_bloom_cache_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_BLOOM) != 0) { - /** Bloom algorithm - * - * Overview : - * - Downsample the color buffer doing a small blur during each step. - * - Accumulate bloom color using previously downsampled color buffers - * and do an upsample blur for each new accumulated layer. - * - Finally add accumulation buffer onto the source color buffer. - * - * [1/1] is original copy resolution (can be half or quarter res for performance) - * - * [DOWNSAMPLE CHAIN] [UPSAMPLE CHAIN] - * - * Source Color ── [Blit] ──> Bright Color Extract [1/1] Final Color - * | Λ - * [Downsample First] Source Color ─> + [Resolve] - * v | - * Color Downsampled [1/2] ────────────> + Accumulation Buffer [1/2] - * | Λ - * ─── ─── - * Repeat Repeat - * ─── ─── - * v | - * Color Downsampled [1/N-1] ──────────> + Accumulation Buffer [1/N-1] - * | Λ - * [Downsample] [Upsample] - * v | - * Color Downsampled [1/N] ─────────────────────────┘ - */ - DRWShadingGroup *grp; - const bool use_highres = true; - const bool use_antiflicker = true; - eevee_create_bloom_pass("Bloom Downsample First", effects, e_data.bloom_downsample_sh[use_antiflicker], &psl->bloom_downsample_first, false); - eevee_create_bloom_pass("Bloom Downsample", effects, e_data.bloom_downsample_sh[0], &psl->bloom_downsample, false); - eevee_create_bloom_pass("Bloom Upsample", effects, e_data.bloom_upsample_sh[use_highres], &psl->bloom_upsample, true); - - grp = eevee_create_bloom_pass("Bloom Blit", effects, e_data.bloom_blit_sh[use_antiflicker], &psl->bloom_blit, false); - DRW_shgroup_uniform_vec4(grp, "curveThreshold", effects->bloom_curve_threshold, 1); - DRW_shgroup_uniform_float(grp, "clampIntensity", &effects->bloom_clamp, 1); - - grp = eevee_create_bloom_pass("Bloom Resolve", effects, e_data.bloom_resolve_sh[use_highres], &psl->bloom_resolve, true); - DRW_shgroup_uniform_vec3(grp, "bloomColor", effects->bloom_color, 1); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_BLOOM) != 0) { + /** Bloom algorithm + * + * Overview : + * - Downsample the color buffer doing a small blur during each step. + * - Accumulate bloom color using previously downsampled color buffers + * and do an upsample blur for each new accumulated layer. + * - Finally add accumulation buffer onto the source color buffer. + * + * [1/1] is original copy resolution (can be half or quarter res for performance) + * + * [DOWNSAMPLE CHAIN] [UPSAMPLE CHAIN] + * + * Source Color ── [Blit] ──> Bright Color Extract [1/1] Final Color + * | Λ + * [Downsample First] Source Color ─> + [Resolve] + * v | + * Color Downsampled [1/2] ────────────> + Accumulation Buffer [1/2] + * | Λ + * ─── ─── + * Repeat Repeat + * ─── ─── + * v | + * Color Downsampled [1/N-1] ──────────> + Accumulation Buffer [1/N-1] + * | Λ + * [Downsample] [Upsample] + * v | + * Color Downsampled [1/N] ─────────────────────────┘ + */ + DRWShadingGroup *grp; + const bool use_highres = true; + const bool use_antiflicker = true; + eevee_create_bloom_pass("Bloom Downsample First", + effects, + e_data.bloom_downsample_sh[use_antiflicker], + &psl->bloom_downsample_first, + false); + eevee_create_bloom_pass( + "Bloom Downsample", effects, e_data.bloom_downsample_sh[0], &psl->bloom_downsample, false); + eevee_create_bloom_pass("Bloom Upsample", + effects, + e_data.bloom_upsample_sh[use_highres], + &psl->bloom_upsample, + true); + + grp = eevee_create_bloom_pass( + "Bloom Blit", effects, e_data.bloom_blit_sh[use_antiflicker], &psl->bloom_blit, false); + DRW_shgroup_uniform_vec4(grp, "curveThreshold", effects->bloom_curve_threshold, 1); + DRW_shgroup_uniform_float(grp, "clampIntensity", &effects->bloom_clamp, 1); + + grp = eevee_create_bloom_pass( + "Bloom Resolve", effects, e_data.bloom_resolve_sh[use_highres], &psl->bloom_resolve, true); + DRW_shgroup_uniform_vec3(grp, "bloomColor", effects->bloom_color, 1); + } } void EEVEE_bloom_draw(EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; - /* Bloom */ - if ((effects->enabled_effects & EFFECT_BLOOM) != 0) { - struct GPUTexture *last; + /* Bloom */ + if ((effects->enabled_effects & EFFECT_BLOOM) != 0) { + struct GPUTexture *last; - /* Extract bright pixels */ - copy_v2_v2(effects->unf_source_texel_size, effects->source_texel_size); - effects->unf_source_buffer = effects->source_buffer; + /* Extract bright pixels */ + copy_v2_v2(effects->unf_source_texel_size, effects->source_texel_size); + effects->unf_source_buffer = effects->source_buffer; - GPU_framebuffer_bind(fbl->bloom_blit_fb); - DRW_draw_pass(psl->bloom_blit); + GPU_framebuffer_bind(fbl->bloom_blit_fb); + DRW_draw_pass(psl->bloom_blit); - /* Downsample */ - copy_v2_v2(effects->unf_source_texel_size, effects->blit_texel_size); - effects->unf_source_buffer = effects->bloom_blit; + /* Downsample */ + copy_v2_v2(effects->unf_source_texel_size, effects->blit_texel_size); + effects->unf_source_buffer = effects->bloom_blit; - GPU_framebuffer_bind(fbl->bloom_down_fb[0]); - DRW_draw_pass(psl->bloom_downsample_first); + GPU_framebuffer_bind(fbl->bloom_down_fb[0]); + DRW_draw_pass(psl->bloom_downsample_first); - last = effects->bloom_downsample[0]; + last = effects->bloom_downsample[0]; - for (int i = 1; i < effects->bloom_iteration_len; ++i) { - copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[i - 1]); - effects->unf_source_buffer = last; + for (int i = 1; i < effects->bloom_iteration_len; ++i) { + copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[i - 1]); + effects->unf_source_buffer = last; - GPU_framebuffer_bind(fbl->bloom_down_fb[i]); - DRW_draw_pass(psl->bloom_downsample); + GPU_framebuffer_bind(fbl->bloom_down_fb[i]); + DRW_draw_pass(psl->bloom_downsample); - /* Used in next loop */ - last = effects->bloom_downsample[i]; - } + /* Used in next loop */ + last = effects->bloom_downsample[i]; + } - /* Upsample and accumulate */ - for (int i = effects->bloom_iteration_len - 2; i >= 0; --i) { - copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[i]); - effects->unf_source_buffer = effects->bloom_downsample[i]; - effects->unf_base_buffer = last; + /* Upsample and accumulate */ + for (int i = effects->bloom_iteration_len - 2; i >= 0; --i) { + copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[i]); + effects->unf_source_buffer = effects->bloom_downsample[i]; + effects->unf_base_buffer = last; - GPU_framebuffer_bind(fbl->bloom_accum_fb[i]); - DRW_draw_pass(psl->bloom_upsample); + GPU_framebuffer_bind(fbl->bloom_accum_fb[i]); + DRW_draw_pass(psl->bloom_upsample); - last = effects->bloom_upsample[i]; - } + last = effects->bloom_upsample[i]; + } - /* Resolve */ - copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[0]); - effects->unf_source_buffer = last; - effects->unf_base_buffer = effects->source_buffer; + /* Resolve */ + copy_v2_v2(effects->unf_source_texel_size, effects->downsamp_texel_size[0]); + effects->unf_source_buffer = last; + effects->unf_base_buffer = effects->source_buffer; - GPU_framebuffer_bind(effects->target_buffer); - DRW_draw_pass(psl->bloom_resolve); - SWAP_BUFFERS(); - } + GPU_framebuffer_bind(effects->target_buffer); + DRW_draw_pass(psl->bloom_resolve); + SWAP_BUFFERS(); + } } void EEVEE_bloom_free(void) { - for (int i = 0; i < 2; ++i) { - DRW_SHADER_FREE_SAFE(e_data.bloom_blit_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.bloom_downsample_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.bloom_upsample_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.bloom_resolve_sh[i]); - } + for (int i = 0; i < 2; ++i) { + DRW_SHADER_FREE_SAFE(e_data.bloom_blit_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.bloom_downsample_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.bloom_upsample_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.bloom_resolve_sh[i]); + } } diff --git a/source/blender/draw/engines/eevee/eevee_data.c b/source/blender/draw/engines/eevee/eevee_data.c index 78bfb543bb1..b7b8702b41a 100644 --- a/source/blender/draw/engines/eevee/eevee_data.c +++ b/source/blender/draw/engines/eevee/eevee_data.c @@ -29,177 +29,168 @@ void EEVEE_view_layer_data_free(void *storage) { - EEVEE_ViewLayerData *sldata = (EEVEE_ViewLayerData *)storage; - - /* Lights */ - MEM_SAFE_FREE(sldata->lights); - DRW_UBO_FREE_SAFE(sldata->light_ubo); - DRW_UBO_FREE_SAFE(sldata->shadow_ubo); - DRW_UBO_FREE_SAFE(sldata->shadow_render_ubo); - GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cube_target_fb); - GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cube_store_fb); - GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cascade_target_fb); - GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cascade_store_fb); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_target); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_blur); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_target); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_blur); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); - MEM_SAFE_FREE(sldata->shcasters_buffers[0].shadow_casters); - MEM_SAFE_FREE(sldata->shcasters_buffers[0].flags); - MEM_SAFE_FREE(sldata->shcasters_buffers[1].shadow_casters); - MEM_SAFE_FREE(sldata->shcasters_buffers[1].flags); - - if (sldata->fallback_lightcache) { - EEVEE_lightcache_free(sldata->fallback_lightcache); - sldata->fallback_lightcache = NULL; - } - - /* Probes */ - MEM_SAFE_FREE(sldata->probes); - DRW_UBO_FREE_SAFE(sldata->probe_ubo); - DRW_UBO_FREE_SAFE(sldata->grid_ubo); - DRW_UBO_FREE_SAFE(sldata->planar_ubo); - DRW_UBO_FREE_SAFE(sldata->common_ubo); - DRW_UBO_FREE_SAFE(sldata->clip_ubo); + EEVEE_ViewLayerData *sldata = (EEVEE_ViewLayerData *)storage; + + /* Lights */ + MEM_SAFE_FREE(sldata->lights); + DRW_UBO_FREE_SAFE(sldata->light_ubo); + DRW_UBO_FREE_SAFE(sldata->shadow_ubo); + DRW_UBO_FREE_SAFE(sldata->shadow_render_ubo); + GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cube_target_fb); + GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cube_store_fb); + GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cascade_target_fb); + GPU_FRAMEBUFFER_FREE_SAFE(sldata->shadow_cascade_store_fb); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_target); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_blur); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_target); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_blur); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); + MEM_SAFE_FREE(sldata->shcasters_buffers[0].shadow_casters); + MEM_SAFE_FREE(sldata->shcasters_buffers[0].flags); + MEM_SAFE_FREE(sldata->shcasters_buffers[1].shadow_casters); + MEM_SAFE_FREE(sldata->shcasters_buffers[1].flags); + + if (sldata->fallback_lightcache) { + EEVEE_lightcache_free(sldata->fallback_lightcache); + sldata->fallback_lightcache = NULL; + } + + /* Probes */ + MEM_SAFE_FREE(sldata->probes); + DRW_UBO_FREE_SAFE(sldata->probe_ubo); + DRW_UBO_FREE_SAFE(sldata->grid_ubo); + DRW_UBO_FREE_SAFE(sldata->planar_ubo); + DRW_UBO_FREE_SAFE(sldata->common_ubo); + DRW_UBO_FREE_SAFE(sldata->clip_ubo); } EEVEE_ViewLayerData *EEVEE_view_layer_data_get(void) { - return (EEVEE_ViewLayerData *)DRW_view_layer_engine_data_get( - &draw_engine_eevee_type); + return (EEVEE_ViewLayerData *)DRW_view_layer_engine_data_get(&draw_engine_eevee_type); } EEVEE_ViewLayerData *EEVEE_view_layer_data_ensure_ex(struct ViewLayer *view_layer) { - EEVEE_ViewLayerData **sldata = (EEVEE_ViewLayerData **)DRW_view_layer_engine_data_ensure_ex( - view_layer, &draw_engine_eevee_type, &EEVEE_view_layer_data_free); + EEVEE_ViewLayerData **sldata = (EEVEE_ViewLayerData **)DRW_view_layer_engine_data_ensure_ex( + view_layer, &draw_engine_eevee_type, &EEVEE_view_layer_data_free); - if (*sldata == NULL) { - *sldata = MEM_callocN(sizeof(**sldata), "EEVEE_ViewLayerData"); - } + if (*sldata == NULL) { + *sldata = MEM_callocN(sizeof(**sldata), "EEVEE_ViewLayerData"); + } - return *sldata; + return *sldata; } EEVEE_ViewLayerData *EEVEE_view_layer_data_ensure(void) { - EEVEE_ViewLayerData **sldata = (EEVEE_ViewLayerData **)DRW_view_layer_engine_data_ensure( - &draw_engine_eevee_type, &EEVEE_view_layer_data_free); + EEVEE_ViewLayerData **sldata = (EEVEE_ViewLayerData **)DRW_view_layer_engine_data_ensure( + &draw_engine_eevee_type, &EEVEE_view_layer_data_free); - if (*sldata == NULL) { - *sldata = MEM_callocN(sizeof(**sldata), "EEVEE_ViewLayerData"); - } + if (*sldata == NULL) { + *sldata = MEM_callocN(sizeof(**sldata), "EEVEE_ViewLayerData"); + } - return *sldata; + return *sldata; } /* Object data. */ static void eevee_object_data_init(DrawData *dd) { - EEVEE_ObjectEngineData *eevee_data = (EEVEE_ObjectEngineData *)dd; - eevee_data->shadow_caster_id = -1; + EEVEE_ObjectEngineData *eevee_data = (EEVEE_ObjectEngineData *)dd; + eevee_data->shadow_caster_id = -1; } EEVEE_ObjectEngineData *EEVEE_object_data_get(Object *ob) { - if (ELEM(ob->type, OB_LIGHTPROBE, OB_LAMP)) { - return NULL; - } - return (EEVEE_ObjectEngineData *)DRW_drawdata_get( - &ob->id, &draw_engine_eevee_type); + if (ELEM(ob->type, OB_LIGHTPROBE, OB_LAMP)) { + return NULL; + } + return (EEVEE_ObjectEngineData *)DRW_drawdata_get(&ob->id, &draw_engine_eevee_type); } EEVEE_ObjectEngineData *EEVEE_object_data_ensure(Object *ob) { - BLI_assert(!ELEM(ob->type, OB_LIGHTPROBE, OB_LAMP)); - return (EEVEE_ObjectEngineData *)DRW_drawdata_ensure( - &ob->id, - &draw_engine_eevee_type, - sizeof(EEVEE_ObjectEngineData), - eevee_object_data_init, - NULL); + BLI_assert(!ELEM(ob->type, OB_LIGHTPROBE, OB_LAMP)); + return (EEVEE_ObjectEngineData *)DRW_drawdata_ensure(&ob->id, + &draw_engine_eevee_type, + sizeof(EEVEE_ObjectEngineData), + eevee_object_data_init, + NULL); } /* Light probe data. */ static void eevee_lightprobe_data_init(DrawData *dd) { - EEVEE_LightProbeEngineData *ped = (EEVEE_LightProbeEngineData *)dd; - ped->need_update = false; + EEVEE_LightProbeEngineData *ped = (EEVEE_LightProbeEngineData *)dd; + ped->need_update = false; } EEVEE_LightProbeEngineData *EEVEE_lightprobe_data_get(Object *ob) { - if (ob->type != OB_LIGHTPROBE) { - return NULL; - } - return (EEVEE_LightProbeEngineData *)DRW_drawdata_get( - &ob->id, &draw_engine_eevee_type); + if (ob->type != OB_LIGHTPROBE) { + return NULL; + } + return (EEVEE_LightProbeEngineData *)DRW_drawdata_get(&ob->id, &draw_engine_eevee_type); } EEVEE_LightProbeEngineData *EEVEE_lightprobe_data_ensure(Object *ob) { - BLI_assert(ob->type == OB_LIGHTPROBE); - return (EEVEE_LightProbeEngineData *)DRW_drawdata_ensure( - &ob->id, - &draw_engine_eevee_type, - sizeof(EEVEE_LightProbeEngineData), - eevee_lightprobe_data_init, - NULL); + BLI_assert(ob->type == OB_LIGHTPROBE); + return (EEVEE_LightProbeEngineData *)DRW_drawdata_ensure(&ob->id, + &draw_engine_eevee_type, + sizeof(EEVEE_LightProbeEngineData), + eevee_lightprobe_data_init, + NULL); } /* Light data. */ static void eevee_light_data_init(DrawData *dd) { - EEVEE_LightEngineData *led = (EEVEE_LightEngineData *)dd; - led->need_update = true; - led->prev_cube_shadow_id = -1; + EEVEE_LightEngineData *led = (EEVEE_LightEngineData *)dd; + led->need_update = true; + led->prev_cube_shadow_id = -1; } EEVEE_LightEngineData *EEVEE_light_data_get(Object *ob) { - if (ob->type != OB_LAMP) { - return NULL; - } - return (EEVEE_LightEngineData *)DRW_drawdata_get( - &ob->id, &draw_engine_eevee_type); + if (ob->type != OB_LAMP) { + return NULL; + } + return (EEVEE_LightEngineData *)DRW_drawdata_get(&ob->id, &draw_engine_eevee_type); } EEVEE_LightEngineData *EEVEE_light_data_ensure(Object *ob) { - BLI_assert(ob->type == OB_LAMP); - return (EEVEE_LightEngineData *)DRW_drawdata_ensure( - &ob->id, - &draw_engine_eevee_type, - sizeof(EEVEE_LightEngineData), - eevee_light_data_init, - NULL); + BLI_assert(ob->type == OB_LAMP); + return (EEVEE_LightEngineData *)DRW_drawdata_ensure(&ob->id, + &draw_engine_eevee_type, + sizeof(EEVEE_LightEngineData), + eevee_light_data_init, + NULL); } /* World data. */ static void eevee_world_data_init(DrawData *dd) { - EEVEE_WorldEngineData *wed = (EEVEE_WorldEngineData *)dd; - wed->dd.recalc |= 1; + EEVEE_WorldEngineData *wed = (EEVEE_WorldEngineData *)dd; + wed->dd.recalc |= 1; } EEVEE_WorldEngineData *EEVEE_world_data_get(World *wo) { - return (EEVEE_WorldEngineData *)DRW_drawdata_get( - &wo->id, &draw_engine_eevee_type); + return (EEVEE_WorldEngineData *)DRW_drawdata_get(&wo->id, &draw_engine_eevee_type); } EEVEE_WorldEngineData *EEVEE_world_data_ensure(World *wo) { - return (EEVEE_WorldEngineData *)DRW_drawdata_ensure( - &wo->id, - &draw_engine_eevee_type, - sizeof(EEVEE_WorldEngineData), - eevee_world_data_init, - NULL); + return (EEVEE_WorldEngineData *)DRW_drawdata_ensure(&wo->id, + &draw_engine_eevee_type, + sizeof(EEVEE_WorldEngineData), + eevee_world_data_init, + NULL); } diff --git a/source/blender/draw/engines/eevee/eevee_depth_of_field.c b/source/blender/draw/engines/eevee/eevee_depth_of_field.c index 7aa1e48472f..62ccf30e12c 100644 --- a/source/blender/draw/engines/eevee/eevee_depth_of_field.c +++ b/source/blender/draw/engines/eevee/eevee_depth_of_field.c @@ -39,10 +39,10 @@ #include "GPU_texture.h" static struct { - /* Depth Of Field */ - struct GPUShader *dof_downsample_sh[2]; - struct GPUShader *dof_scatter_sh[2]; - struct GPUShader *dof_resolve_sh[2]; + /* Depth Of Field */ + struct GPUShader *dof_downsample_sh[2]; + struct GPUShader *dof_scatter_sh[2]; + struct GPUShader *dof_resolve_sh[2]; } e_data = {{NULL}}; /* Engine data */ extern char datatoc_effect_dof_vert_glsl[]; @@ -50,225 +50,232 @@ extern char datatoc_effect_dof_frag_glsl[]; static void eevee_create_shader_depth_of_field(const bool use_alpha) { - e_data.dof_downsample_sh[use_alpha] = DRW_shader_create_fullscreen( - datatoc_effect_dof_frag_glsl, use_alpha ? - "#define USE_ALPHA_DOF\n" - "#define STEP_DOWNSAMPLE\n" : - "#define STEP_DOWNSAMPLE\n"); - e_data.dof_scatter_sh[use_alpha] = DRW_shader_create( - datatoc_effect_dof_vert_glsl, NULL, - datatoc_effect_dof_frag_glsl, use_alpha ? - "#define USE_ALPHA_DOF\n" - "#define STEP_SCATTER\n" : - "#define STEP_SCATTER\n"); - e_data.dof_resolve_sh[use_alpha] = DRW_shader_create_fullscreen( - datatoc_effect_dof_frag_glsl, use_alpha ? - "#define USE_ALPHA_DOF\n" - "#define STEP_RESOLVE\n" : - "#define STEP_RESOLVE\n"); + e_data.dof_downsample_sh[use_alpha] = DRW_shader_create_fullscreen( + datatoc_effect_dof_frag_glsl, + use_alpha ? "#define USE_ALPHA_DOF\n" + "#define STEP_DOWNSAMPLE\n" : + "#define STEP_DOWNSAMPLE\n"); + e_data.dof_scatter_sh[use_alpha] = DRW_shader_create(datatoc_effect_dof_vert_glsl, + NULL, + datatoc_effect_dof_frag_glsl, + use_alpha ? "#define USE_ALPHA_DOF\n" + "#define STEP_SCATTER\n" : + "#define STEP_SCATTER\n"); + e_data.dof_resolve_sh[use_alpha] = DRW_shader_create_fullscreen(datatoc_effect_dof_frag_glsl, + use_alpha ? + "#define USE_ALPHA_DOF\n" + "#define STEP_RESOLVE\n" : + "#define STEP_RESOLVE\n"); } -int EEVEE_depth_of_field_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata, Object *camera) +int EEVEE_depth_of_field_init(EEVEE_ViewLayerData *UNUSED(sldata), + EEVEE_Data *vedata, + Object *camera) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_EffectsInfo *effects = stl->effects; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_DOF_ENABLED) { - RegionView3D *rv3d = draw_ctx->rv3d; - const bool use_alpha = !DRW_state_draw_background(); - - if (!e_data.dof_downsample_sh[use_alpha]) { - eevee_create_shader_depth_of_field(use_alpha); - } - - if (camera) { - const float *viewport_size = DRW_viewport_size_get(); - Camera *cam = (Camera *)camera->data; - - /* Retrieve Near and Far distance */ - effects->dof_near_far[0] = -cam->clip_start; - effects->dof_near_far[1] = -cam->clip_end; - - int buffer_size[2] = {(int)viewport_size[0] / 2, (int)viewport_size[1] / 2}; - - eGPUTextureFormat down_format = DRW_state_draw_background() ? GPU_R11F_G11F_B10F : GPU_RGBA16F; - - effects->dof_down_near = DRW_texture_pool_query_2d(buffer_size[0], buffer_size[1], down_format, - &draw_engine_eevee_type); - effects->dof_down_far = DRW_texture_pool_query_2d(buffer_size[0], buffer_size[1], down_format, - &draw_engine_eevee_type); - effects->dof_coc = DRW_texture_pool_query_2d(buffer_size[0], buffer_size[1], GPU_RG16F, - &draw_engine_eevee_type); - - GPU_framebuffer_ensure_config(&fbl->dof_down_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->dof_down_near), - GPU_ATTACHMENT_TEXTURE(effects->dof_down_far), - GPU_ATTACHMENT_TEXTURE(effects->dof_coc) - }); - - /* Go full 32bits for rendering and reduce the color artifacts. */ - eGPUTextureFormat fb_format = DRW_state_is_image_render() ? GPU_RGBA32F : GPU_RGBA16F; - - effects->dof_blur = DRW_texture_pool_query_2d(buffer_size[0] * 2, buffer_size[1], fb_format, - &draw_engine_eevee_type); - - GPU_framebuffer_ensure_config(&fbl->dof_scatter_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->dof_blur), - }); - - if (!DRW_state_draw_background()) { - effects->dof_blur_alpha = DRW_texture_pool_query_2d(buffer_size[0] * 2, buffer_size[1], GPU_R32F, - &draw_engine_eevee_type); - GPU_framebuffer_texture_attach(fbl->dof_scatter_fb, effects->dof_blur_alpha, 1, 0); - } - - /* Parameters */ - /* TODO UI Options */ - float fstop = cam->gpu_dof.fstop; - float blades = cam->gpu_dof.num_blades; - float rotation = cam->gpu_dof.rotation; - float ratio = 1.0f / cam->gpu_dof.ratio; - float sensor = BKE_camera_sensor_size(cam->sensor_fit, cam->sensor_x, cam->sensor_y); - float focus_dist = BKE_camera_object_dof_distance(camera); - float focal_len = cam->lens; - - /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm - * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though - * because the shader reads coordinates in world space, which is in blender units. - * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ - float scale = (scene_eval->unit.system) ? scene_eval->unit.scale_length : 1.0f; - float scale_camera = 0.001f / scale; - /* we want radius here for the aperture number */ - float aperture = 0.5f * scale_camera * focal_len / fstop; - float focal_len_scaled = scale_camera * focal_len; - float sensor_scaled = scale_camera * sensor; - - if (rv3d != NULL) { - sensor_scaled *= rv3d->viewcamtexcofac[0]; - } - - effects->dof_params[1] = aperture * fabsf(focal_len_scaled / (focus_dist - focal_len_scaled)); - effects->dof_params[1] *= viewport_size[0] / sensor_scaled; - effects->dof_params[0] = -focus_dist * effects->dof_params[1]; - - effects->dof_bokeh[0] = rotation; - effects->dof_bokeh[1] = ratio; - effects->dof_bokeh[2] = scene_eval->eevee.bokeh_max_size; - - /* Precompute values to save instructions in fragment shader. */ - effects->dof_bokeh_sides[0] = blades; - effects->dof_bokeh_sides[1] = blades > 0.0f ? 2.0f * M_PI / blades : 0.0f; - effects->dof_bokeh_sides[2] = blades / (2.0f * M_PI); - effects->dof_bokeh_sides[3] = blades > 0.0f ? cosf(M_PI / blades) : 0.0f; - - return EFFECT_DOF | EFFECT_POST_BUFFER; - } - } - - /* Cleanup to release memory */ - GPU_FRAMEBUFFER_FREE_SAFE(fbl->dof_down_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->dof_scatter_fb); - - return 0; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_EffectsInfo *effects = stl->effects; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_DOF_ENABLED) { + RegionView3D *rv3d = draw_ctx->rv3d; + const bool use_alpha = !DRW_state_draw_background(); + + if (!e_data.dof_downsample_sh[use_alpha]) { + eevee_create_shader_depth_of_field(use_alpha); + } + + if (camera) { + const float *viewport_size = DRW_viewport_size_get(); + Camera *cam = (Camera *)camera->data; + + /* Retrieve Near and Far distance */ + effects->dof_near_far[0] = -cam->clip_start; + effects->dof_near_far[1] = -cam->clip_end; + + int buffer_size[2] = {(int)viewport_size[0] / 2, (int)viewport_size[1] / 2}; + + eGPUTextureFormat down_format = DRW_state_draw_background() ? GPU_R11F_G11F_B10F : + GPU_RGBA16F; + + effects->dof_down_near = DRW_texture_pool_query_2d( + buffer_size[0], buffer_size[1], down_format, &draw_engine_eevee_type); + effects->dof_down_far = DRW_texture_pool_query_2d( + buffer_size[0], buffer_size[1], down_format, &draw_engine_eevee_type); + effects->dof_coc = DRW_texture_pool_query_2d( + buffer_size[0], buffer_size[1], GPU_RG16F, &draw_engine_eevee_type); + + GPU_framebuffer_ensure_config(&fbl->dof_down_fb, + {GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(effects->dof_down_near), + GPU_ATTACHMENT_TEXTURE(effects->dof_down_far), + GPU_ATTACHMENT_TEXTURE(effects->dof_coc)}); + + /* Go full 32bits for rendering and reduce the color artifacts. */ + eGPUTextureFormat fb_format = DRW_state_is_image_render() ? GPU_RGBA32F : GPU_RGBA16F; + + effects->dof_blur = DRW_texture_pool_query_2d( + buffer_size[0] * 2, buffer_size[1], fb_format, &draw_engine_eevee_type); + + GPU_framebuffer_ensure_config(&fbl->dof_scatter_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(effects->dof_blur), + }); + + if (!DRW_state_draw_background()) { + effects->dof_blur_alpha = DRW_texture_pool_query_2d( + buffer_size[0] * 2, buffer_size[1], GPU_R32F, &draw_engine_eevee_type); + GPU_framebuffer_texture_attach(fbl->dof_scatter_fb, effects->dof_blur_alpha, 1, 0); + } + + /* Parameters */ + /* TODO UI Options */ + float fstop = cam->gpu_dof.fstop; + float blades = cam->gpu_dof.num_blades; + float rotation = cam->gpu_dof.rotation; + float ratio = 1.0f / cam->gpu_dof.ratio; + float sensor = BKE_camera_sensor_size(cam->sensor_fit, cam->sensor_x, cam->sensor_y); + float focus_dist = BKE_camera_object_dof_distance(camera); + float focal_len = cam->lens; + + /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm + * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though + * because the shader reads coordinates in world space, which is in blender units. + * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ + float scale = (scene_eval->unit.system) ? scene_eval->unit.scale_length : 1.0f; + float scale_camera = 0.001f / scale; + /* we want radius here for the aperture number */ + float aperture = 0.5f * scale_camera * focal_len / fstop; + float focal_len_scaled = scale_camera * focal_len; + float sensor_scaled = scale_camera * sensor; + + if (rv3d != NULL) { + sensor_scaled *= rv3d->viewcamtexcofac[0]; + } + + effects->dof_params[1] = aperture * + fabsf(focal_len_scaled / (focus_dist - focal_len_scaled)); + effects->dof_params[1] *= viewport_size[0] / sensor_scaled; + effects->dof_params[0] = -focus_dist * effects->dof_params[1]; + + effects->dof_bokeh[0] = rotation; + effects->dof_bokeh[1] = ratio; + effects->dof_bokeh[2] = scene_eval->eevee.bokeh_max_size; + + /* Precompute values to save instructions in fragment shader. */ + effects->dof_bokeh_sides[0] = blades; + effects->dof_bokeh_sides[1] = blades > 0.0f ? 2.0f * M_PI / blades : 0.0f; + effects->dof_bokeh_sides[2] = blades / (2.0f * M_PI); + effects->dof_bokeh_sides[3] = blades > 0.0f ? cosf(M_PI / blades) : 0.0f; + + return EFFECT_DOF | EFFECT_POST_BUFFER; + } + } + + /* Cleanup to release memory */ + GPU_FRAMEBUFFER_FREE_SAFE(fbl->dof_down_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->dof_scatter_fb); + + return 0; } void EEVEE_depth_of_field_cache_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - if ((effects->enabled_effects & EFFECT_DOF) != 0) { - /** Depth of Field algorithm - * - * Overview : - * - Downsample the color buffer into 2 buffers weighted with - * CoC values. Also output CoC into a texture. - * - Shoot quads for every pixel and expand it depending on the CoC. - * Do one pass for near Dof and one pass for far Dof. - * - Finally composite the 2 blurred buffers with the original render. - */ - DRWShadingGroup *grp; - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - const bool use_alpha = !DRW_state_draw_background(); - - psl->dof_down = DRW_pass_create("DoF Downsample", DRW_STATE_WRITE_COLOR); - - grp = DRW_shgroup_create(e_data.dof_downsample_sh[use_alpha], psl->dof_down); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_vec2(grp, "nearFar", effects->dof_near_far, 1); - DRW_shgroup_uniform_vec2(grp, "dofParams", effects->dof_params, 1); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->dof_scatter = DRW_pass_create("DoF Scatter", DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE_FULL); - - /* This create an empty batch of N triangles to be positioned - * by the vertex shader 0.4ms against 6ms with instancing */ - const float *viewport_size = DRW_viewport_size_get(); - const int sprite_len = ((int)viewport_size[0] / 2) * ((int)viewport_size[1] / 2); /* brackets matters */ - grp = DRW_shgroup_empty_tri_batch_create(e_data.dof_scatter_sh[use_alpha], psl->dof_scatter, sprite_len); - DRW_shgroup_uniform_texture_ref(grp, "nearBuffer", &effects->dof_down_near); - DRW_shgroup_uniform_texture_ref(grp, "farBuffer", &effects->dof_down_far); - DRW_shgroup_uniform_texture_ref(grp, "cocBuffer", &effects->dof_coc); - DRW_shgroup_uniform_vec4(grp, "bokehParams", effects->dof_bokeh, 2); - - psl->dof_resolve = DRW_pass_create("DoF Resolve", DRW_STATE_WRITE_COLOR); - - grp = DRW_shgroup_create(e_data.dof_resolve_sh[use_alpha], psl->dof_resolve); - DRW_shgroup_uniform_texture_ref(grp, "scatterBuffer", &effects->dof_blur); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_vec2(grp, "nearFar", effects->dof_near_far, 1); - DRW_shgroup_uniform_vec2(grp, "dofParams", effects->dof_params, 1); - DRW_shgroup_call_add(grp, quad, NULL); - - if (use_alpha) { - DRW_shgroup_uniform_texture_ref(grp, "scatterAlphaBuffer", &effects->dof_blur_alpha); - } - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + if ((effects->enabled_effects & EFFECT_DOF) != 0) { + /** Depth of Field algorithm + * + * Overview : + * - Downsample the color buffer into 2 buffers weighted with + * CoC values. Also output CoC into a texture. + * - Shoot quads for every pixel and expand it depending on the CoC. + * Do one pass for near Dof and one pass for far Dof. + * - Finally composite the 2 blurred buffers with the original render. + */ + DRWShadingGroup *grp; + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + const bool use_alpha = !DRW_state_draw_background(); + + psl->dof_down = DRW_pass_create("DoF Downsample", DRW_STATE_WRITE_COLOR); + + grp = DRW_shgroup_create(e_data.dof_downsample_sh[use_alpha], psl->dof_down); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_vec2(grp, "nearFar", effects->dof_near_far, 1); + DRW_shgroup_uniform_vec2(grp, "dofParams", effects->dof_params, 1); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->dof_scatter = DRW_pass_create("DoF Scatter", + DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE_FULL); + + /* This create an empty batch of N triangles to be positioned + * by the vertex shader 0.4ms against 6ms with instancing */ + const float *viewport_size = DRW_viewport_size_get(); + const int sprite_len = ((int)viewport_size[0] / 2) * + ((int)viewport_size[1] / 2); /* brackets matters */ + grp = DRW_shgroup_empty_tri_batch_create( + e_data.dof_scatter_sh[use_alpha], psl->dof_scatter, sprite_len); + DRW_shgroup_uniform_texture_ref(grp, "nearBuffer", &effects->dof_down_near); + DRW_shgroup_uniform_texture_ref(grp, "farBuffer", &effects->dof_down_far); + DRW_shgroup_uniform_texture_ref(grp, "cocBuffer", &effects->dof_coc); + DRW_shgroup_uniform_vec4(grp, "bokehParams", effects->dof_bokeh, 2); + + psl->dof_resolve = DRW_pass_create("DoF Resolve", DRW_STATE_WRITE_COLOR); + + grp = DRW_shgroup_create(e_data.dof_resolve_sh[use_alpha], psl->dof_resolve); + DRW_shgroup_uniform_texture_ref(grp, "scatterBuffer", &effects->dof_blur); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_vec2(grp, "nearFar", effects->dof_near_far, 1); + DRW_shgroup_uniform_vec2(grp, "dofParams", effects->dof_params, 1); + DRW_shgroup_call_add(grp, quad, NULL); + + if (use_alpha) { + DRW_shgroup_uniform_texture_ref(grp, "scatterAlphaBuffer", &effects->dof_blur_alpha); + } + } } void EEVEE_depth_of_field_draw(EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - /* Depth Of Field */ - if ((effects->enabled_effects & EFFECT_DOF) != 0) { - float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - /* Downsample */ - GPU_framebuffer_bind(fbl->dof_down_fb); - DRW_draw_pass(psl->dof_down); - - /* Scatter */ - GPU_framebuffer_bind(fbl->dof_scatter_fb); - GPU_framebuffer_clear_color(fbl->dof_scatter_fb, clear_col); - DRW_draw_pass(psl->dof_scatter); - - /* Resolve */ - GPU_framebuffer_bind(effects->target_buffer); - DRW_draw_pass(psl->dof_resolve); - SWAP_BUFFERS(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + /* Depth Of Field */ + if ((effects->enabled_effects & EFFECT_DOF) != 0) { + float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + /* Downsample */ + GPU_framebuffer_bind(fbl->dof_down_fb); + DRW_draw_pass(psl->dof_down); + + /* Scatter */ + GPU_framebuffer_bind(fbl->dof_scatter_fb); + GPU_framebuffer_clear_color(fbl->dof_scatter_fb, clear_col); + DRW_draw_pass(psl->dof_scatter); + + /* Resolve */ + GPU_framebuffer_bind(effects->target_buffer); + DRW_draw_pass(psl->dof_resolve); + SWAP_BUFFERS(); + } } void EEVEE_depth_of_field_free(void) { - for (int i = 0; i < 2; ++i) { - DRW_SHADER_FREE_SAFE(e_data.dof_downsample_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.dof_scatter_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.dof_resolve_sh[i]); - } + for (int i = 0; i < 2; ++i) { + DRW_SHADER_FREE_SAFE(e_data.dof_downsample_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.dof_scatter_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.dof_resolve_sh[i]); + } } diff --git a/source/blender/draw/engines/eevee/eevee_effects.c b/source/blender/draw/engines/eevee/eevee_effects.c index e276fcd63ce..e77d7b16c78 100644 --- a/source/blender/draw/engines/eevee/eevee_effects.c +++ b/source/blender/draw/engines/eevee/eevee_effects.c @@ -32,27 +32,27 @@ #include "GPU_state.h" static struct { - /* Downsample Depth */ - struct GPUShader *minz_downlevel_sh; - struct GPUShader *maxz_downlevel_sh; - struct GPUShader *minz_downdepth_sh; - struct GPUShader *maxz_downdepth_sh; - struct GPUShader *minz_downdepth_layer_sh; - struct GPUShader *maxz_downdepth_layer_sh; - struct GPUShader *maxz_copydepth_layer_sh; - struct GPUShader *minz_copydepth_sh; - struct GPUShader *maxz_copydepth_sh; - - /* Simple Downsample */ - struct GPUShader *downsample_sh; - struct GPUShader *downsample_cube_sh; - - /* Theses are just references, not actually allocated */ - struct GPUTexture *depth_src; - struct GPUTexture *color_src; - - int depth_src_layer; - float cube_texel_size; + /* Downsample Depth */ + struct GPUShader *minz_downlevel_sh; + struct GPUShader *maxz_downlevel_sh; + struct GPUShader *minz_downdepth_sh; + struct GPUShader *maxz_downdepth_sh; + struct GPUShader *minz_downdepth_layer_sh; + struct GPUShader *maxz_downdepth_layer_sh; + struct GPUShader *maxz_copydepth_layer_sh; + struct GPUShader *minz_copydepth_sh; + struct GPUShader *maxz_copydepth_sh; + + /* Simple Downsample */ + struct GPUShader *downsample_sh; + struct GPUShader *downsample_cube_sh; + + /* Theses are just references, not actually allocated */ + struct GPUTexture *depth_src; + struct GPUTexture *color_src; + + int depth_src_layer; + float cube_texel_size; } e_data = {NULL}; /* Engine data */ extern char datatoc_common_uniforms_lib_glsl[]; @@ -64,403 +64,397 @@ extern char datatoc_effect_downsample_cube_frag_glsl[]; extern char datatoc_lightprobe_vert_glsl[]; extern char datatoc_lightprobe_geom_glsl[]; - static void eevee_create_shader_downsample(void) { - e_data.downsample_sh = DRW_shader_create_fullscreen(datatoc_effect_downsample_frag_glsl, NULL); - e_data.downsample_cube_sh = DRW_shader_create( - datatoc_lightprobe_vert_glsl, - datatoc_lightprobe_geom_glsl, - datatoc_effect_downsample_cube_frag_glsl, NULL); - - e_data.minz_downlevel_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MIN_PASS\n"); - e_data.maxz_downlevel_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MAX_PASS\n"); - e_data.minz_downdepth_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MIN_PASS\n"); - e_data.maxz_downdepth_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MAX_PASS\n"); - e_data.minz_downdepth_layer_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MIN_PASS\n" - "#define LAYERED\n"); - e_data.maxz_downdepth_layer_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MAX_PASS\n" - "#define LAYERED\n"); - e_data.maxz_copydepth_layer_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MAX_PASS\n" - "#define COPY_DEPTH\n" - "#define LAYERED\n"); - e_data.minz_copydepth_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MIN_PASS\n" - "#define COPY_DEPTH\n"); - e_data.maxz_copydepth_sh = DRW_shader_create_fullscreen( - datatoc_effect_minmaxz_frag_glsl, - "#define MAX_PASS\n" - "#define COPY_DEPTH\n"); + e_data.downsample_sh = DRW_shader_create_fullscreen(datatoc_effect_downsample_frag_glsl, NULL); + e_data.downsample_cube_sh = DRW_shader_create(datatoc_lightprobe_vert_glsl, + datatoc_lightprobe_geom_glsl, + datatoc_effect_downsample_cube_frag_glsl, + NULL); + + e_data.minz_downlevel_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MIN_PASS\n"); + e_data.maxz_downlevel_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MAX_PASS\n"); + e_data.minz_downdepth_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MIN_PASS\n"); + e_data.maxz_downdepth_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MAX_PASS\n"); + e_data.minz_downdepth_layer_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MIN_PASS\n" + "#define LAYERED\n"); + e_data.maxz_downdepth_layer_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MAX_PASS\n" + "#define LAYERED\n"); + e_data.maxz_copydepth_layer_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MAX_PASS\n" + "#define COPY_DEPTH\n" + "#define LAYERED\n"); + e_data.minz_copydepth_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MIN_PASS\n" + "#define COPY_DEPTH\n"); + e_data.maxz_copydepth_sh = DRW_shader_create_fullscreen(datatoc_effect_minmaxz_frag_glsl, + "#define MAX_PASS\n" + "#define COPY_DEPTH\n"); } -#define SETUP_BUFFER(tex, fb, fb_color) { \ - eGPUTextureFormat format = (DRW_state_is_scene_render()) ? GPU_RGBA32F : GPU_RGBA16F; \ - DRW_texture_ensure_fullscreen_2d(&tex, format, DRW_TEX_FILTER | DRW_TEX_MIPMAP); \ - GPU_framebuffer_ensure_config(&fb, { \ - GPU_ATTACHMENT_TEXTURE(dtxl->depth), \ - GPU_ATTACHMENT_TEXTURE(tex), \ - }); \ - GPU_framebuffer_ensure_config(&fb_color, { \ - GPU_ATTACHMENT_NONE, \ - GPU_ATTACHMENT_TEXTURE(tex), \ - }); \ -} ((void)0) - -#define CLEANUP_BUFFER(tex, fb, fb_color) { \ - /* Cleanup to release memory */ \ - DRW_TEXTURE_FREE_SAFE(tex); \ - GPU_FRAMEBUFFER_FREE_SAFE(fb); \ - GPU_FRAMEBUFFER_FREE_SAFE(fb_color); \ -} ((void)0) - -void EEVEE_effects_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, Object *camera, const bool minimal) +#define SETUP_BUFFER(tex, fb, fb_color) \ + { \ + eGPUTextureFormat format = (DRW_state_is_scene_render()) ? GPU_RGBA32F : GPU_RGBA16F; \ + DRW_texture_ensure_fullscreen_2d(&tex, format, DRW_TEX_FILTER | DRW_TEX_MIPMAP); \ + GPU_framebuffer_ensure_config(&fb, \ + { \ + GPU_ATTACHMENT_TEXTURE(dtxl->depth), \ + GPU_ATTACHMENT_TEXTURE(tex), \ + }); \ + GPU_framebuffer_ensure_config(&fb_color, \ + { \ + GPU_ATTACHMENT_NONE, \ + GPU_ATTACHMENT_TEXTURE(tex), \ + }); \ + } \ + ((void)0) + +#define CLEANUP_BUFFER(tex, fb, fb_color) \ + { \ + /* Cleanup to release memory */ \ + DRW_TEXTURE_FREE_SAFE(tex); \ + GPU_FRAMEBUFFER_FREE_SAFE(fb); \ + GPU_FRAMEBUFFER_FREE_SAFE(fb_color); \ + } \ + ((void)0) + +void EEVEE_effects_init(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + Object *camera, + const bool minimal) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - - const float *viewport_size = DRW_viewport_size_get(); - int size_fs[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - /* Shaders */ - if (!e_data.downsample_sh) { - eevee_create_shader_downsample(); - } - - if (!stl->effects) { - stl->effects = MEM_callocN(sizeof(EEVEE_EffectsInfo), "EEVEE_EffectsInfo"); - } - - effects = stl->effects; - - effects->enabled_effects = 0; - effects->enabled_effects |= (G.debug_value == 9) ? EFFECT_VELOCITY_BUFFER : 0; - effects->enabled_effects |= EEVEE_motion_blur_init(sldata, vedata, camera); - effects->enabled_effects |= EEVEE_bloom_init(sldata, vedata); - effects->enabled_effects |= EEVEE_depth_of_field_init(sldata, vedata, camera); - effects->enabled_effects |= EEVEE_temporal_sampling_init(sldata, vedata); - effects->enabled_effects |= EEVEE_occlusion_init(sldata, vedata); - effects->enabled_effects |= EEVEE_subsurface_init(sldata, vedata); - effects->enabled_effects |= EEVEE_screen_raytrace_init(sldata, vedata); - effects->enabled_effects |= EEVEE_volumes_init(sldata, vedata); - - /* Force normal buffer creation. */ - if (DRW_state_is_image_render() && !minimal && - (view_layer->passflag & SCE_PASS_NORMAL) != 0) - { - effects->enabled_effects |= EFFECT_NORMAL_BUFFER; - } - - /** - * Ping Pong buffer - */ - if ((effects->enabled_effects & EFFECT_POST_BUFFER) != 0) { - SETUP_BUFFER(txl->color_post, fbl->effect_fb, fbl->effect_color_fb); - } - else { - CLEANUP_BUFFER(txl->color_post, fbl->effect_fb, fbl->effect_color_fb); - } - - /** - * MinMax Pyramid - */ - const bool half_res_hiz = true; - int size[2], div; - common_data->hiz_mip_offset = (half_res_hiz) ? 1 : 0; - div = (half_res_hiz) ? 2 : 1; - size[0] = max_ii(size_fs[0] / div, 1); - size[1] = max_ii(size_fs[1] / div, 1); - - if (GPU_type_matches(GPU_DEVICE_INTEL, GPU_OS_ANY, GPU_DRIVER_ANY)) { - /* Intel gpu seems to have problem rendering to only depth format */ - DRW_texture_ensure_2d(&txl->maxzbuffer, size[0], size[1], GPU_R32F, DRW_TEX_MIPMAP); - } - else { - DRW_texture_ensure_2d(&txl->maxzbuffer, size[0], size[1], GPU_DEPTH_COMPONENT24, DRW_TEX_MIPMAP); - } - - if (fbl->downsample_fb == NULL) { - fbl->downsample_fb = GPU_framebuffer_create(); - } - - /** - * Compute Mipmap texel alignment. - */ - for (int i = 0; i < 10; ++i) { - int mip_size[2]; - GPU_texture_get_mipmap_size(txl->color, i, mip_size); - common_data->mip_ratio[i][0] = viewport_size[0] / (mip_size[0] * powf(2.0f, i)); - common_data->mip_ratio[i][1] = viewport_size[1] / (mip_size[1] * powf(2.0f, i)); - } - - /** - * Normal buffer for deferred passes. - */ - if ((effects->enabled_effects & EFFECT_NORMAL_BUFFER) != 0) { - effects->ssr_normal_input = DRW_texture_pool_query_2d(size_fs[0], size_fs[1], GPU_RG16, - &draw_engine_eevee_type); - - GPU_framebuffer_texture_attach(fbl->main_fb, effects->ssr_normal_input, 1, 0); - } - else { - effects->ssr_normal_input = NULL; - } - - /** - * Motion vector buffer for correct TAA / motion blur. - */ - if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { - effects->velocity_tx = DRW_texture_pool_query_2d(size_fs[0], size_fs[1], GPU_RG16, - &draw_engine_eevee_type); - - /* TODO output objects velocity during the mainpass. */ - // GPU_framebuffer_texture_attach(fbl->main_fb, effects->velocity_tx, 1, 0); - - GPU_framebuffer_ensure_config(&fbl->velocity_resolve_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->velocity_tx) - }); - } - else { - effects->velocity_tx = NULL; - } - - /** - * Setup depth double buffer. - */ - if ((effects->enabled_effects & EFFECT_DEPTH_DOUBLE_BUFFER) != 0) { - DRW_texture_ensure_fullscreen_2d(&txl->depth_double_buffer, GPU_DEPTH24_STENCIL8, 0); - - GPU_framebuffer_ensure_config(&fbl->double_buffer_depth_fb, { - GPU_ATTACHMENT_TEXTURE(txl->depth_double_buffer) - }); - } - else { - /* Cleanup to release memory */ - DRW_TEXTURE_FREE_SAFE(txl->depth_double_buffer); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->double_buffer_depth_fb); - } - - /** - * Setup double buffer so we can access last frame as it was before post processes. - */ - if ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0) { - SETUP_BUFFER(txl->color_double_buffer, fbl->double_buffer_fb, fbl->double_buffer_color_fb); - } - else { - CLEANUP_BUFFER(txl->color_double_buffer, fbl->double_buffer_fb, fbl->double_buffer_color_fb); - } - - if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { - SETUP_BUFFER(txl->taa_history, fbl->taa_history_fb, fbl->taa_history_color_fb); - } - else { - CLEANUP_BUFFER(txl->taa_history, fbl->taa_history_fb, fbl->taa_history_color_fb); - } + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + + const float *viewport_size = DRW_viewport_size_get(); + int size_fs[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + /* Shaders */ + if (!e_data.downsample_sh) { + eevee_create_shader_downsample(); + } + + if (!stl->effects) { + stl->effects = MEM_callocN(sizeof(EEVEE_EffectsInfo), "EEVEE_EffectsInfo"); + } + + effects = stl->effects; + + effects->enabled_effects = 0; + effects->enabled_effects |= (G.debug_value == 9) ? EFFECT_VELOCITY_BUFFER : 0; + effects->enabled_effects |= EEVEE_motion_blur_init(sldata, vedata, camera); + effects->enabled_effects |= EEVEE_bloom_init(sldata, vedata); + effects->enabled_effects |= EEVEE_depth_of_field_init(sldata, vedata, camera); + effects->enabled_effects |= EEVEE_temporal_sampling_init(sldata, vedata); + effects->enabled_effects |= EEVEE_occlusion_init(sldata, vedata); + effects->enabled_effects |= EEVEE_subsurface_init(sldata, vedata); + effects->enabled_effects |= EEVEE_screen_raytrace_init(sldata, vedata); + effects->enabled_effects |= EEVEE_volumes_init(sldata, vedata); + + /* Force normal buffer creation. */ + if (DRW_state_is_image_render() && !minimal && (view_layer->passflag & SCE_PASS_NORMAL) != 0) { + effects->enabled_effects |= EFFECT_NORMAL_BUFFER; + } + + /** + * Ping Pong buffer + */ + if ((effects->enabled_effects & EFFECT_POST_BUFFER) != 0) { + SETUP_BUFFER(txl->color_post, fbl->effect_fb, fbl->effect_color_fb); + } + else { + CLEANUP_BUFFER(txl->color_post, fbl->effect_fb, fbl->effect_color_fb); + } + + /** + * MinMax Pyramid + */ + const bool half_res_hiz = true; + int size[2], div; + common_data->hiz_mip_offset = (half_res_hiz) ? 1 : 0; + div = (half_res_hiz) ? 2 : 1; + size[0] = max_ii(size_fs[0] / div, 1); + size[1] = max_ii(size_fs[1] / div, 1); + + if (GPU_type_matches(GPU_DEVICE_INTEL, GPU_OS_ANY, GPU_DRIVER_ANY)) { + /* Intel gpu seems to have problem rendering to only depth format */ + DRW_texture_ensure_2d(&txl->maxzbuffer, size[0], size[1], GPU_R32F, DRW_TEX_MIPMAP); + } + else { + DRW_texture_ensure_2d( + &txl->maxzbuffer, size[0], size[1], GPU_DEPTH_COMPONENT24, DRW_TEX_MIPMAP); + } + + if (fbl->downsample_fb == NULL) { + fbl->downsample_fb = GPU_framebuffer_create(); + } + + /** + * Compute Mipmap texel alignment. + */ + for (int i = 0; i < 10; ++i) { + int mip_size[2]; + GPU_texture_get_mipmap_size(txl->color, i, mip_size); + common_data->mip_ratio[i][0] = viewport_size[0] / (mip_size[0] * powf(2.0f, i)); + common_data->mip_ratio[i][1] = viewport_size[1] / (mip_size[1] * powf(2.0f, i)); + } + + /** + * Normal buffer for deferred passes. + */ + if ((effects->enabled_effects & EFFECT_NORMAL_BUFFER) != 0) { + effects->ssr_normal_input = DRW_texture_pool_query_2d( + size_fs[0], size_fs[1], GPU_RG16, &draw_engine_eevee_type); + + GPU_framebuffer_texture_attach(fbl->main_fb, effects->ssr_normal_input, 1, 0); + } + else { + effects->ssr_normal_input = NULL; + } + + /** + * Motion vector buffer for correct TAA / motion blur. + */ + if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { + effects->velocity_tx = DRW_texture_pool_query_2d( + size_fs[0], size_fs[1], GPU_RG16, &draw_engine_eevee_type); + + /* TODO output objects velocity during the mainpass. */ + // GPU_framebuffer_texture_attach(fbl->main_fb, effects->velocity_tx, 1, 0); + + GPU_framebuffer_ensure_config( + &fbl->velocity_resolve_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->velocity_tx)}); + } + else { + effects->velocity_tx = NULL; + } + + /** + * Setup depth double buffer. + */ + if ((effects->enabled_effects & EFFECT_DEPTH_DOUBLE_BUFFER) != 0) { + DRW_texture_ensure_fullscreen_2d(&txl->depth_double_buffer, GPU_DEPTH24_STENCIL8, 0); + + GPU_framebuffer_ensure_config(&fbl->double_buffer_depth_fb, + {GPU_ATTACHMENT_TEXTURE(txl->depth_double_buffer)}); + } + else { + /* Cleanup to release memory */ + DRW_TEXTURE_FREE_SAFE(txl->depth_double_buffer); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->double_buffer_depth_fb); + } + + /** + * Setup double buffer so we can access last frame as it was before post processes. + */ + if ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0) { + SETUP_BUFFER(txl->color_double_buffer, fbl->double_buffer_fb, fbl->double_buffer_color_fb); + } + else { + CLEANUP_BUFFER(txl->color_double_buffer, fbl->double_buffer_fb, fbl->double_buffer_color_fb); + } + + if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { + SETUP_BUFFER(txl->taa_history, fbl->taa_history_fb, fbl->taa_history_color_fb); + } + else { + CLEANUP_BUFFER(txl->taa_history, fbl->taa_history_fb, fbl->taa_history_color_fb); + } } void EEVEE_effects_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - int downsample_write = DRW_STATE_WRITE_DEPTH; - - /* Intel gpu seems to have problem rendering to only depth format. - * Use color texture instead. */ - if (GPU_type_matches(GPU_DEVICE_INTEL, GPU_OS_ANY, GPU_DRIVER_ANY)) { - downsample_write = DRW_STATE_WRITE_COLOR; - } - - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - { - psl->color_downsample_ps = DRW_pass_create( - "Downsample", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.downsample_sh, psl->color_downsample_ps); - DRW_shgroup_uniform_texture_ref(grp, "source", &e_data.color_src); - DRW_shgroup_uniform_float(grp, "fireflyFactor", &sldata->common_data.ssr_firefly_fac, 1); - DRW_shgroup_call_add(grp, quad, NULL); - } - - { - static int zero = 0; - static uint six = 6; - psl->color_downsample_cube_ps = DRW_pass_create( - "Downsample Cube", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.downsample_cube_sh, psl->color_downsample_cube_ps); - DRW_shgroup_uniform_texture_ref(grp, "source", &e_data.color_src); - DRW_shgroup_uniform_float(grp, "texelSize", &e_data.cube_texel_size, 1); - DRW_shgroup_uniform_int(grp, "Layer", &zero, 1); - DRW_shgroup_call_instances_add(grp, quad, NULL, &six); - } - - { - /* Perform min/max downsample */ - DRWShadingGroup *grp; - - psl->maxz_downlevel_ps = DRW_pass_create( - "HiZ Max Down Level", downsample_write | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.maxz_downlevel_sh, psl->maxz_downlevel_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &txl->maxzbuffer); - DRW_shgroup_call_add(grp, quad, NULL); - - /* Copy depth buffer to halfres top level of HiZ */ - - psl->maxz_downdepth_ps = DRW_pass_create( - "HiZ Max Copy Depth Halfres", downsample_write | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.maxz_downdepth_sh, psl->maxz_downdepth_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->maxz_downdepth_layer_ps = DRW_pass_create( - "HiZ Max Copy DepthLayer Halfres", downsample_write | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.maxz_downdepth_layer_sh, psl->maxz_downdepth_layer_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_uniform_int(grp, "depthLayer", &e_data.depth_src_layer, 1); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->maxz_copydepth_ps = DRW_pass_create( - "HiZ Max Copy Depth Fullres", downsample_write | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.maxz_copydepth_sh, psl->maxz_copydepth_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->maxz_copydepth_layer_ps = DRW_pass_create( - "HiZ Max Copy DepthLayer Halfres", downsample_write | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.maxz_copydepth_layer_sh, psl->maxz_copydepth_layer_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_uniform_int(grp, "depthLayer", &e_data.depth_src_layer, 1); - DRW_shgroup_call_add(grp, quad, NULL); - } - - if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { - /* This pass compute camera motions to the non moving objects. */ - psl->velocity_resolve = DRW_pass_create( - "Velocity Resolve", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_velocity_resolve_sh_get(), psl->velocity_resolve); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_mat4(grp, "currPersinv", effects->velocity_curr_persinv); - DRW_shgroup_uniform_mat4(grp, "pastPersmat", effects->velocity_past_persmat); - DRW_shgroup_call_add(grp, quad, NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + int downsample_write = DRW_STATE_WRITE_DEPTH; + + /* Intel gpu seems to have problem rendering to only depth format. + * Use color texture instead. */ + if (GPU_type_matches(GPU_DEVICE_INTEL, GPU_OS_ANY, GPU_DRIVER_ANY)) { + downsample_write = DRW_STATE_WRITE_COLOR; + } + + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + { + psl->color_downsample_ps = DRW_pass_create("Downsample", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.downsample_sh, psl->color_downsample_ps); + DRW_shgroup_uniform_texture_ref(grp, "source", &e_data.color_src); + DRW_shgroup_uniform_float(grp, "fireflyFactor", &sldata->common_data.ssr_firefly_fac, 1); + DRW_shgroup_call_add(grp, quad, NULL); + } + + { + static int zero = 0; + static uint six = 6; + psl->color_downsample_cube_ps = DRW_pass_create("Downsample Cube", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.downsample_cube_sh, + psl->color_downsample_cube_ps); + DRW_shgroup_uniform_texture_ref(grp, "source", &e_data.color_src); + DRW_shgroup_uniform_float(grp, "texelSize", &e_data.cube_texel_size, 1); + DRW_shgroup_uniform_int(grp, "Layer", &zero, 1); + DRW_shgroup_call_instances_add(grp, quad, NULL, &six); + } + + { + /* Perform min/max downsample */ + DRWShadingGroup *grp; + + psl->maxz_downlevel_ps = DRW_pass_create("HiZ Max Down Level", + downsample_write | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.maxz_downlevel_sh, psl->maxz_downlevel_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &txl->maxzbuffer); + DRW_shgroup_call_add(grp, quad, NULL); + + /* Copy depth buffer to halfres top level of HiZ */ + + psl->maxz_downdepth_ps = DRW_pass_create("HiZ Max Copy Depth Halfres", + downsample_write | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.maxz_downdepth_sh, psl->maxz_downdepth_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->maxz_downdepth_layer_ps = DRW_pass_create("HiZ Max Copy DepthLayer Halfres", + downsample_write | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.maxz_downdepth_layer_sh, psl->maxz_downdepth_layer_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_uniform_int(grp, "depthLayer", &e_data.depth_src_layer, 1); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->maxz_copydepth_ps = DRW_pass_create("HiZ Max Copy Depth Fullres", + downsample_write | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.maxz_copydepth_sh, psl->maxz_copydepth_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->maxz_copydepth_layer_ps = DRW_pass_create("HiZ Max Copy DepthLayer Halfres", + downsample_write | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.maxz_copydepth_layer_sh, psl->maxz_copydepth_layer_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_uniform_int(grp, "depthLayer", &e_data.depth_src_layer, 1); + DRW_shgroup_call_add(grp, quad, NULL); + } + + if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { + /* This pass compute camera motions to the non moving objects. */ + psl->velocity_resolve = DRW_pass_create("Velocity Resolve", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_velocity_resolve_sh_get(), + psl->velocity_resolve); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_mat4(grp, "currPersinv", effects->velocity_curr_persinv); + DRW_shgroup_uniform_mat4(grp, "pastPersmat", effects->velocity_past_persmat); + DRW_shgroup_call_add(grp, quad, NULL); + } } #if 0 /* Not required for now */ static void min_downsample_cb(void *vedata, int UNUSED(level)) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - DRW_draw_pass(psl->minz_downlevel_ps); + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + DRW_draw_pass(psl->minz_downlevel_ps); } #endif static void max_downsample_cb(void *vedata, int UNUSED(level)) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - DRW_draw_pass(psl->maxz_downlevel_ps); + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + DRW_draw_pass(psl->maxz_downlevel_ps); } static void simple_downsample_cb(void *vedata, int UNUSED(level)) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - DRW_draw_pass(psl->color_downsample_ps); + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + DRW_draw_pass(psl->color_downsample_ps); } static void simple_downsample_cube_cb(void *vedata, int level) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - e_data.cube_texel_size = (float)(1 << level) / (float)GPU_texture_width(e_data.color_src); - DRW_draw_pass(psl->color_downsample_cube_ps); + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + e_data.cube_texel_size = (float)(1 << level) / (float)GPU_texture_width(e_data.color_src); + DRW_draw_pass(psl->color_downsample_cube_ps); } void EEVEE_create_minmax_buffer(EEVEE_Data *vedata, GPUTexture *depth_src, int layer) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; - e_data.depth_src = depth_src; - e_data.depth_src_layer = layer; + e_data.depth_src = depth_src; + e_data.depth_src_layer = layer; #if 0 /* Not required for now */ - DRW_stats_group_start("Min buffer"); - /* Copy depth buffer to min texture top level */ - GPU_framebuffer_texture_attach(fbl->downsample_fb, stl->g_data->minzbuffer, 0, 0); - GPU_framebuffer_bind(fbl->downsample_fb); - if (layer >= 0) { - DRW_draw_pass(psl->minz_downdepth_layer_ps); - } - else { - DRW_draw_pass(psl->minz_downdepth_ps); - } - GPU_framebuffer_texture_detach(stl->g_data->minzbuffer); - - /* Create lower levels */ - GPU_framebuffer_recursive_downsample(fbl->downsample_fb, stl->g_data->minzbuffer, 8, &min_downsample_cb, vedata); - DRW_stats_group_end(); + DRW_stats_group_start("Min buffer"); + /* Copy depth buffer to min texture top level */ + GPU_framebuffer_texture_attach(fbl->downsample_fb, stl->g_data->minzbuffer, 0, 0); + GPU_framebuffer_bind(fbl->downsample_fb); + if (layer >= 0) { + DRW_draw_pass(psl->minz_downdepth_layer_ps); + } + else { + DRW_draw_pass(psl->minz_downdepth_ps); + } + GPU_framebuffer_texture_detach(stl->g_data->minzbuffer); + + /* Create lower levels */ + GPU_framebuffer_recursive_downsample(fbl->downsample_fb, stl->g_data->minzbuffer, 8, &min_downsample_cb, vedata); + DRW_stats_group_end(); #endif - int minmax_size[3], depth_size[3]; - GPU_texture_get_mipmap_size(depth_src, 0, depth_size); - GPU_texture_get_mipmap_size(txl->maxzbuffer, 0, minmax_size); - bool is_full_res_minmaxz = (minmax_size[0] == depth_size[0] && minmax_size[1] == depth_size[1]); - - DRW_stats_group_start("Max buffer"); - /* Copy depth buffer to max texture top level */ - GPU_framebuffer_texture_attach(fbl->downsample_fb, txl->maxzbuffer, 0, 0); - GPU_framebuffer_bind(fbl->downsample_fb); - if (layer >= 0) { - if (is_full_res_minmaxz) { - DRW_draw_pass(psl->maxz_copydepth_layer_ps); - } - else { - DRW_draw_pass(psl->maxz_downdepth_layer_ps); - } - } - else { - if (is_full_res_minmaxz) { - DRW_draw_pass(psl->maxz_copydepth_ps); - } - else { - DRW_draw_pass(psl->maxz_downdepth_ps); - } - } - - /* Create lower levels */ - GPU_framebuffer_recursive_downsample(fbl->downsample_fb, 8, &max_downsample_cb, vedata); - GPU_framebuffer_texture_detach(fbl->downsample_fb, txl->maxzbuffer); - DRW_stats_group_end(); - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - - if (GPU_mip_render_workaround() || - GPU_type_matches(GPU_DEVICE_INTEL_UHD, GPU_OS_WIN, GPU_DRIVER_ANY)) - { - /* Fix dot corruption on intel HD5XX/HD6XX series. */ - GPU_flush(); - } + int minmax_size[3], depth_size[3]; + GPU_texture_get_mipmap_size(depth_src, 0, depth_size); + GPU_texture_get_mipmap_size(txl->maxzbuffer, 0, minmax_size); + bool is_full_res_minmaxz = (minmax_size[0] == depth_size[0] && minmax_size[1] == depth_size[1]); + + DRW_stats_group_start("Max buffer"); + /* Copy depth buffer to max texture top level */ + GPU_framebuffer_texture_attach(fbl->downsample_fb, txl->maxzbuffer, 0, 0); + GPU_framebuffer_bind(fbl->downsample_fb); + if (layer >= 0) { + if (is_full_res_minmaxz) { + DRW_draw_pass(psl->maxz_copydepth_layer_ps); + } + else { + DRW_draw_pass(psl->maxz_downdepth_layer_ps); + } + } + else { + if (is_full_res_minmaxz) { + DRW_draw_pass(psl->maxz_copydepth_ps); + } + else { + DRW_draw_pass(psl->maxz_downdepth_ps); + } + } + + /* Create lower levels */ + GPU_framebuffer_recursive_downsample(fbl->downsample_fb, 8, &max_downsample_cb, vedata); + GPU_framebuffer_texture_detach(fbl->downsample_fb, txl->maxzbuffer); + DRW_stats_group_end(); + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + + if (GPU_mip_render_workaround() || + GPU_type_matches(GPU_DEVICE_INTEL_UHD, GPU_OS_WIN, GPU_DRIVER_ANY)) { + /* Fix dot corruption on intel HD5XX/HD6XX series. */ + GPU_flush(); + } } /** @@ -468,15 +462,15 @@ void EEVEE_create_minmax_buffer(EEVEE_Data *vedata, GPUTexture *depth_src, int l */ void EEVEE_downsample_buffer(EEVEE_Data *vedata, GPUTexture *texture_src, int level) { - EEVEE_FramebufferList *fbl = vedata->fbl; - e_data.color_src = texture_src; - - /* Create lower levels */ - DRW_stats_group_start("Downsample buffer"); - GPU_framebuffer_texture_attach(fbl->downsample_fb, texture_src, 0, 0); - GPU_framebuffer_recursive_downsample(fbl->downsample_fb, level, &simple_downsample_cb, vedata); - GPU_framebuffer_texture_detach(fbl->downsample_fb, texture_src); - DRW_stats_group_end(); + EEVEE_FramebufferList *fbl = vedata->fbl; + e_data.color_src = texture_src; + + /* Create lower levels */ + DRW_stats_group_start("Downsample buffer"); + GPU_framebuffer_texture_attach(fbl->downsample_fb, texture_src, 0, 0); + GPU_framebuffer_recursive_downsample(fbl->downsample_fb, level, &simple_downsample_cb, vedata); + GPU_framebuffer_texture_detach(fbl->downsample_fb, texture_src); + DRW_stats_group_end(); } /** @@ -484,90 +478,89 @@ void EEVEE_downsample_buffer(EEVEE_Data *vedata, GPUTexture *texture_src, int le */ void EEVEE_downsample_cube_buffer(EEVEE_Data *vedata, GPUTexture *texture_src, int level) { - EEVEE_FramebufferList *fbl = vedata->fbl; - e_data.color_src = texture_src; - - /* Create lower levels */ - DRW_stats_group_start("Downsample Cube buffer"); - GPU_framebuffer_texture_attach(fbl->downsample_fb, texture_src, 0, 0); - GPU_framebuffer_recursive_downsample(fbl->downsample_fb, level, &simple_downsample_cube_cb, vedata); - GPU_framebuffer_texture_detach(fbl->downsample_fb, texture_src); - DRW_stats_group_end(); + EEVEE_FramebufferList *fbl = vedata->fbl; + e_data.color_src = texture_src; + + /* Create lower levels */ + DRW_stats_group_start("Downsample Cube buffer"); + GPU_framebuffer_texture_attach(fbl->downsample_fb, texture_src, 0, 0); + GPU_framebuffer_recursive_downsample( + fbl->downsample_fb, level, &simple_downsample_cube_cb, vedata); + GPU_framebuffer_texture_detach(fbl->downsample_fb, texture_src); + DRW_stats_group_end(); } void EEVEE_draw_effects(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - /* First resolve the velocity. */ - if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { - DRW_viewport_matrix_get(effects->velocity_curr_persinv, DRW_MAT_PERSINV); - - GPU_framebuffer_bind(fbl->velocity_resolve_fb); - DRW_draw_pass(psl->velocity_resolve); - } - DRW_viewport_matrix_get(effects->velocity_past_persmat, DRW_MAT_PERS); - - /* only once per frame after the first post process */ - effects->swap_double_buffer = ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0); - - /* Init pointers */ - effects->source_buffer = txl->color; /* latest updated texture */ - effects->target_buffer = fbl->effect_color_fb; /* next target to render to */ - - /* Post process stack (order matters) */ - EEVEE_motion_blur_draw(vedata); - EEVEE_depth_of_field_draw(vedata); - EEVEE_temporal_sampling_draw(vedata); - EEVEE_bloom_draw(vedata); - - /* Save the final texture and framebuffer for final transformation or read. */ - effects->final_tx = effects->source_buffer; - effects->final_fb = (effects->target_buffer != fbl->main_color_fb) ? fbl->main_fb : fbl->effect_fb; - if ((effects->enabled_effects & EFFECT_TAA) && - (effects->source_buffer == txl->taa_history)) - { - effects->final_fb = fbl->taa_history_fb; - } - - /* If no post processes is enabled, buffers are still not swapped, do it now. */ - SWAP_DOUBLE_BUFFERS(); - - if (!stl->g_data->valid_double_buffer && - ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0) && - (DRW_state_is_image_render() == false)) - { - /* If history buffer is not valid request another frame. - * This fix black reflections on area resize. */ - DRW_viewport_request_redraw(); - } - - /* Record pers matrix for the next frame. */ - DRW_viewport_matrix_get(stl->effects->prev_persmat, DRW_MAT_PERS); - - /* Update double buffer status if render mode. */ - if (DRW_state_is_image_render()) { - stl->g_data->valid_double_buffer = (txl->color_double_buffer != NULL); - stl->g_data->valid_taa_history = (txl->taa_history != NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + /* First resolve the velocity. */ + if ((effects->enabled_effects & EFFECT_VELOCITY_BUFFER) != 0) { + DRW_viewport_matrix_get(effects->velocity_curr_persinv, DRW_MAT_PERSINV); + + GPU_framebuffer_bind(fbl->velocity_resolve_fb); + DRW_draw_pass(psl->velocity_resolve); + } + DRW_viewport_matrix_get(effects->velocity_past_persmat, DRW_MAT_PERS); + + /* only once per frame after the first post process */ + effects->swap_double_buffer = ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0); + + /* Init pointers */ + effects->source_buffer = txl->color; /* latest updated texture */ + effects->target_buffer = fbl->effect_color_fb; /* next target to render to */ + + /* Post process stack (order matters) */ + EEVEE_motion_blur_draw(vedata); + EEVEE_depth_of_field_draw(vedata); + EEVEE_temporal_sampling_draw(vedata); + EEVEE_bloom_draw(vedata); + + /* Save the final texture and framebuffer for final transformation or read. */ + effects->final_tx = effects->source_buffer; + effects->final_fb = (effects->target_buffer != fbl->main_color_fb) ? fbl->main_fb : + fbl->effect_fb; + if ((effects->enabled_effects & EFFECT_TAA) && (effects->source_buffer == txl->taa_history)) { + effects->final_fb = fbl->taa_history_fb; + } + + /* If no post processes is enabled, buffers are still not swapped, do it now. */ + SWAP_DOUBLE_BUFFERS(); + + if (!stl->g_data->valid_double_buffer && + ((effects->enabled_effects & EFFECT_DOUBLE_BUFFER) != 0) && + (DRW_state_is_image_render() == false)) { + /* If history buffer is not valid request another frame. + * This fix black reflections on area resize. */ + DRW_viewport_request_redraw(); + } + + /* Record pers matrix for the next frame. */ + DRW_viewport_matrix_get(stl->effects->prev_persmat, DRW_MAT_PERS); + + /* Update double buffer status if render mode. */ + if (DRW_state_is_image_render()) { + stl->g_data->valid_double_buffer = (txl->color_double_buffer != NULL); + stl->g_data->valid_taa_history = (txl->taa_history != NULL); + } } void EEVEE_effects_free(void) { - DRW_SHADER_FREE_SAFE(e_data.downsample_sh); - DRW_SHADER_FREE_SAFE(e_data.downsample_cube_sh); - - DRW_SHADER_FREE_SAFE(e_data.minz_downlevel_sh); - DRW_SHADER_FREE_SAFE(e_data.maxz_downlevel_sh); - DRW_SHADER_FREE_SAFE(e_data.minz_downdepth_sh); - DRW_SHADER_FREE_SAFE(e_data.maxz_downdepth_sh); - DRW_SHADER_FREE_SAFE(e_data.minz_downdepth_layer_sh); - DRW_SHADER_FREE_SAFE(e_data.maxz_downdepth_layer_sh); - DRW_SHADER_FREE_SAFE(e_data.maxz_copydepth_layer_sh); - DRW_SHADER_FREE_SAFE(e_data.minz_copydepth_sh); - DRW_SHADER_FREE_SAFE(e_data.maxz_copydepth_sh); + DRW_SHADER_FREE_SAFE(e_data.downsample_sh); + DRW_SHADER_FREE_SAFE(e_data.downsample_cube_sh); + + DRW_SHADER_FREE_SAFE(e_data.minz_downlevel_sh); + DRW_SHADER_FREE_SAFE(e_data.maxz_downlevel_sh); + DRW_SHADER_FREE_SAFE(e_data.minz_downdepth_sh); + DRW_SHADER_FREE_SAFE(e_data.maxz_downdepth_sh); + DRW_SHADER_FREE_SAFE(e_data.minz_downdepth_layer_sh); + DRW_SHADER_FREE_SAFE(e_data.maxz_downdepth_layer_sh); + DRW_SHADER_FREE_SAFE(e_data.maxz_copydepth_layer_sh); + DRW_SHADER_FREE_SAFE(e_data.minz_copydepth_sh); + DRW_SHADER_FREE_SAFE(e_data.maxz_copydepth_sh); } diff --git a/source/blender/draw/engines/eevee/eevee_engine.c b/source/blender/draw/engines/eevee/eevee_engine.c index ad000e0d4c3..6232640aac8 100644 --- a/source/blender/draw/engines/eevee/eevee_engine.c +++ b/source/blender/draw/engines/eevee/eevee_engine.c @@ -31,7 +31,7 @@ #include "eevee_private.h" -#include "eevee_engine.h" /* own include */ +#include "eevee_engine.h" /* own include */ #define EEVEE_ENGINE "BLENDER_EEVEE" @@ -39,125 +39,124 @@ static void eevee_engine_init(void *ved) { - EEVEE_Data *vedata = (EEVEE_Data *)ved; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - Object *camera = (rv3d->persp == RV3D_CAMOB) ? v3d->camera : NULL; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - stl->g_data->use_color_render_settings = USE_SCENE_LIGHT(v3d) || !LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d); - stl->g_data->background_alpha = DRW_state_draw_background() ? 1.0f : 0.0f; - stl->g_data->valid_double_buffer = (txl->color_double_buffer != NULL); - stl->g_data->valid_taa_history = (txl->taa_history != NULL); - - /* Main Buffer */ - DRW_texture_ensure_fullscreen_2d(&txl->color, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); - - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(txl->color), - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE - }); - - GPU_framebuffer_ensure_config(&fbl->main_color_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->color) - }); - - if (sldata->common_ubo == NULL) { - sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), &sldata->common_data); - } - if (sldata->clip_ubo == NULL) { - sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); - } - - /* EEVEE_effects_init needs to go first for TAA */ - EEVEE_effects_init(sldata, vedata, camera, false); - EEVEE_materials_init(sldata, stl, fbl); - EEVEE_lights_init(sldata); - EEVEE_lightprobes_init(sldata, vedata); - - if ((stl->effects->taa_current_sample > 1) && !DRW_state_is_image_render()) { - /* XXX otherwise it would break the other engines. */ - DRW_viewport_matrix_override_unset_all(); - } + EEVEE_Data *vedata = (EEVEE_Data *)ved; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + Object *camera = (rv3d->persp == RV3D_CAMOB) ? v3d->camera : NULL; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + stl->g_data->use_color_render_settings = USE_SCENE_LIGHT(v3d) || + !LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d); + stl->g_data->background_alpha = DRW_state_draw_background() ? 1.0f : 0.0f; + stl->g_data->valid_double_buffer = (txl->color_double_buffer != NULL); + stl->g_data->valid_taa_history = (txl->taa_history != NULL); + + /* Main Buffer */ + DRW_texture_ensure_fullscreen_2d(&txl->color, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); + + GPU_framebuffer_ensure_config(&fbl->main_fb, + {GPU_ATTACHMENT_TEXTURE(dtxl->depth), + GPU_ATTACHMENT_TEXTURE(txl->color), + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE}); + + GPU_framebuffer_ensure_config(&fbl->main_color_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->color)}); + + if (sldata->common_ubo == NULL) { + sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), + &sldata->common_data); + } + if (sldata->clip_ubo == NULL) { + sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); + } + + /* EEVEE_effects_init needs to go first for TAA */ + EEVEE_effects_init(sldata, vedata, camera, false); + EEVEE_materials_init(sldata, stl, fbl); + EEVEE_lights_init(sldata); + EEVEE_lightprobes_init(sldata, vedata); + + if ((stl->effects->taa_current_sample > 1) && !DRW_state_is_image_render()) { + /* XXX otherwise it would break the other engines. */ + DRW_viewport_matrix_override_unset_all(); + } } static void eevee_cache_init(void *vedata) { - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - - EEVEE_bloom_cache_init(sldata, vedata); - EEVEE_depth_of_field_cache_init(sldata, vedata); - EEVEE_effects_cache_init(sldata, vedata); - EEVEE_lightprobes_cache_init(sldata, vedata); - EEVEE_lights_cache_init(sldata, vedata); - EEVEE_materials_cache_init(sldata, vedata); - EEVEE_motion_blur_cache_init(sldata, vedata); - EEVEE_occlusion_cache_init(sldata, vedata); - EEVEE_screen_raytrace_cache_init(sldata, vedata); - EEVEE_subsurface_cache_init(sldata, vedata); - EEVEE_temporal_sampling_cache_init(sldata, vedata); - EEVEE_volumes_cache_init(sldata, vedata); + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + + EEVEE_bloom_cache_init(sldata, vedata); + EEVEE_depth_of_field_cache_init(sldata, vedata); + EEVEE_effects_cache_init(sldata, vedata); + EEVEE_lightprobes_cache_init(sldata, vedata); + EEVEE_lights_cache_init(sldata, vedata); + EEVEE_materials_cache_init(sldata, vedata); + EEVEE_motion_blur_cache_init(sldata, vedata); + EEVEE_occlusion_cache_init(sldata, vedata); + EEVEE_screen_raytrace_cache_init(sldata, vedata); + EEVEE_subsurface_cache_init(sldata, vedata); + EEVEE_temporal_sampling_cache_init(sldata, vedata); + EEVEE_volumes_cache_init(sldata, vedata); } void EEVEE_cache_populate(void *vedata, Object *ob) { - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const int ob_visibility = DRW_object_visibility_in_active_context(ob); - bool cast_shadow = false; - - if (ob_visibility & OB_VISIBLE_PARTICLES) { - EEVEE_hair_cache_populate(vedata, sldata, ob, &cast_shadow); - } - - if (DRW_object_is_renderable(ob) && (ob_visibility & OB_VISIBLE_SELF)) { - if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - EEVEE_materials_cache_populate(vedata, sldata, ob, &cast_shadow); - } - else if (!USE_SCENE_LIGHT(draw_ctx->v3d)) { - /* do not add any scene light sources to the cache */ - } - else if (ob->type == OB_LIGHTPROBE) { - if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { - /* TODO: Special case for dupli objects because we cannot save the object pointer. */ - } - else { - EEVEE_lightprobes_cache_add(sldata, vedata, ob); - } - } - else if (ob->type == OB_LAMP) { - EEVEE_lights_cache_add(sldata, ob); - } - } - - if (cast_shadow) { - EEVEE_lights_cache_shcaster_object_add(sldata, ob); - } + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const int ob_visibility = DRW_object_visibility_in_active_context(ob); + bool cast_shadow = false; + + if (ob_visibility & OB_VISIBLE_PARTICLES) { + EEVEE_hair_cache_populate(vedata, sldata, ob, &cast_shadow); + } + + if (DRW_object_is_renderable(ob) && (ob_visibility & OB_VISIBLE_SELF)) { + if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + EEVEE_materials_cache_populate(vedata, sldata, ob, &cast_shadow); + } + else if (!USE_SCENE_LIGHT(draw_ctx->v3d)) { + /* do not add any scene light sources to the cache */ + } + else if (ob->type == OB_LIGHTPROBE) { + if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { + /* TODO: Special case for dupli objects because we cannot save the object pointer. */ + } + else { + EEVEE_lightprobes_cache_add(sldata, vedata, ob); + } + } + else if (ob->type == OB_LAMP) { + EEVEE_lights_cache_add(sldata, ob); + } + } + + if (cast_shadow) { + EEVEE_lights_cache_shcaster_object_add(sldata, ob); + } } static void eevee_cache_finish(void *vedata) { - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_materials_cache_finish(vedata); - EEVEE_lights_cache_finish(sldata, vedata); - EEVEE_lightprobes_cache_finish(sldata, vedata); + EEVEE_materials_cache_finish(vedata); + EEVEE_lights_cache_finish(sldata, vedata); + EEVEE_lightprobes_cache_finish(sldata, vedata); } /* As renders in an HDR offscreen buffer, we need draw everything once @@ -167,325 +166,332 @@ static void eevee_cache_finish(void *vedata) * to reduce the fillrate */ static void eevee_draw_background(void *vedata) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - EEVEE_TextureList *txl = ((EEVEE_Data *)vedata)->txl; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - EEVEE_FramebufferList *fbl = ((EEVEE_Data *)vedata)->fbl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - - /* Default framebuffer and texture */ - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - - /* Sort transparents before the loop. */ - DRW_pass_sort_shgroup_z(psl->transparent_pass); - - /* Number of iteration: needed for all temporal effect (SSR, volumetrics) - * when using opengl render. */ - int loop_len = (DRW_state_is_image_render() && - (stl->effects->enabled_effects & (EFFECT_VOLUMETRIC | EFFECT_SSR)) != 0) ? 4 : 1; - - while (loop_len--) { - float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - float clear_depth = 1.0f; - uint clear_stencil = 0x0; - uint primes[3] = {2, 3, 7}; - double offset[3] = {0.0, 0.0, 0.0}; - double r[3]; - - bool taa_use_reprojection = (stl->effects->enabled_effects & EFFECT_TAA_REPROJECT) != 0; - - if (DRW_state_is_image_render() || - taa_use_reprojection || - ((stl->effects->enabled_effects & EFFECT_TAA) != 0)) - { - int samp = taa_use_reprojection - ? stl->effects->taa_reproject_sample + 1 - : stl->effects->taa_current_sample; - BLI_halton_3d(primes, offset, samp, r); - EEVEE_update_noise(psl, fbl, r); - EEVEE_volumes_set_jitter(sldata, samp - 1); - EEVEE_materials_init(sldata, stl, fbl); - } - /* Copy previous persmat to UBO data */ - copy_m4_m4(sldata->common_data.prev_persmat, stl->effects->prev_persmat); - - if (((stl->effects->enabled_effects & EFFECT_TAA) != 0) && - (stl->effects->taa_current_sample > 1) && - !DRW_state_is_image_render() && - !taa_use_reprojection) - { - DRW_viewport_matrix_override_set(stl->effects->overide_persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(stl->effects->overide_persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(stl->effects->overide_winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(stl->effects->overide_wininv, DRW_MAT_WININV); - } - - /* Refresh Probes */ - DRW_stats_group_start("Probes Refresh"); - EEVEE_lightprobes_refresh(sldata, vedata); - /* Probes refresh can have reset the current sample. */ - if (stl->effects->taa_current_sample == 1) { - DRW_viewport_matrix_override_unset_all(); - } - EEVEE_lightprobes_refresh_planar(sldata, vedata); - DRW_stats_group_end(); - - /* Refresh shadows */ - DRW_stats_group_start("Shadows"); - EEVEE_draw_shadows(sldata, vedata); - DRW_stats_group_end(); - - /* Set ray type. */ - sldata->common_data.ray_type = EEVEE_RAY_CAMERA; - sldata->common_data.ray_depth = 0.0f; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - - GPU_framebuffer_bind(fbl->main_fb); - eGPUFrameBufferBits clear_bits = GPU_DEPTH_BIT; - clear_bits |= (DRW_state_draw_background()) ? 0 : GPU_COLOR_BIT; - clear_bits |= ((stl->effects->enabled_effects & EFFECT_SSS) != 0) ? GPU_STENCIL_BIT : 0; - GPU_framebuffer_clear(fbl->main_fb, clear_bits, clear_col, clear_depth, clear_stencil); - - /* Depth prepass */ - DRW_stats_group_start("Prepass"); - DRW_draw_pass(psl->depth_pass); - DRW_draw_pass(psl->depth_pass_cull); - DRW_stats_group_end(); - - /* Create minmax texture */ - DRW_stats_group_start("Main MinMax buffer"); - EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); - DRW_stats_group_end(); - - EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); - EEVEE_volumes_compute(sldata, vedata); - - /* Shading pass */ - DRW_stats_group_start("Shading"); - if (DRW_state_draw_background()) { - DRW_draw_pass(psl->background_pass); - } - EEVEE_draw_default_passes(psl); - DRW_draw_pass(psl->material_pass); - DRW_draw_pass(psl->material_pass_cull); - EEVEE_subsurface_data_render(sldata, vedata); - DRW_stats_group_end(); - - /* Effects pre-transparency */ - EEVEE_subsurface_compute(sldata, vedata); - EEVEE_reflection_compute(sldata, vedata); - EEVEE_occlusion_draw_debug(sldata, vedata); - if (psl->probe_display) { - DRW_draw_pass(psl->probe_display); - } - EEVEE_refraction_compute(sldata, vedata); - - /* Opaque refraction */ - DRW_stats_group_start("Opaque Refraction"); - DRW_draw_pass(psl->refract_depth_pass); - DRW_draw_pass(psl->refract_depth_pass_cull); - DRW_draw_pass(psl->refract_pass); - DRW_stats_group_end(); - - /* Volumetrics Resolve Opaque */ - EEVEE_volumes_resolve(sldata, vedata); - - /* Transparent */ - DRW_draw_pass(psl->transparent_pass); - - /* Post Process */ - DRW_stats_group_start("Post FX"); - EEVEE_draw_effects(sldata, vedata); - DRW_stats_group_end(); - - if ((stl->effects->taa_current_sample > 1) && !DRW_state_is_image_render()) { - DRW_viewport_matrix_override_unset_all(); - } - } - - /* LookDev */ - EEVEE_lookdev_draw_background(vedata); - /* END */ - - - /* Tonemapping and transfer result to default framebuffer. */ - bool use_render_settings = stl->g_data->use_color_render_settings; - - GPU_framebuffer_bind(dfbl->default_fb); - DRW_transform_to_display(stl->effects->final_tx, true, use_render_settings); - - /* Debug : Output buffer to view. */ - switch (G.debug_value) { - case 1: - if (txl->maxzbuffer) { - DRW_transform_to_display(txl->maxzbuffer, false, false); - } - break; - case 2: - if (effects->ssr_pdf_output) { - DRW_transform_to_display(effects->ssr_pdf_output, false, false); - } - break; - case 3: - if (effects->ssr_normal_input) { - DRW_transform_to_display(effects->ssr_normal_input, false, false); - } - break; - case 4: - if (effects->ssr_specrough_input) { - DRW_transform_to_display(effects->ssr_specrough_input, false, false); - } - break; - case 5: - if (txl->color_double_buffer) { - DRW_transform_to_display(txl->color_double_buffer, false, false); - } - break; - case 6: - if (effects->gtao_horizons_debug) { - DRW_transform_to_display(effects->gtao_horizons_debug, false, false); - } - break; - case 7: - if (effects->gtao_horizons) { - DRW_transform_to_display(effects->gtao_horizons, false, false); - } - break; - case 8: - if (effects->sss_data) { - DRW_transform_to_display(effects->sss_data, false, false); - } - break; - case 9: - if (effects->velocity_tx) { - DRW_transform_to_display(effects->velocity_tx, false, false); - } - break; - default: - break; - } - - EEVEE_volumes_free_smoke_textures(); - - stl->g_data->view_updated = false; + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + EEVEE_TextureList *txl = ((EEVEE_Data *)vedata)->txl; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + EEVEE_FramebufferList *fbl = ((EEVEE_Data *)vedata)->fbl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + + /* Default framebuffer and texture */ + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + + /* Sort transparents before the loop. */ + DRW_pass_sort_shgroup_z(psl->transparent_pass); + + /* Number of iteration: needed for all temporal effect (SSR, volumetrics) + * when using opengl render. */ + int loop_len = (DRW_state_is_image_render() && + (stl->effects->enabled_effects & (EFFECT_VOLUMETRIC | EFFECT_SSR)) != 0) ? + 4 : + 1; + + while (loop_len--) { + float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + float clear_depth = 1.0f; + uint clear_stencil = 0x0; + uint primes[3] = {2, 3, 7}; + double offset[3] = {0.0, 0.0, 0.0}; + double r[3]; + + bool taa_use_reprojection = (stl->effects->enabled_effects & EFFECT_TAA_REPROJECT) != 0; + + if (DRW_state_is_image_render() || taa_use_reprojection || + ((stl->effects->enabled_effects & EFFECT_TAA) != 0)) { + int samp = taa_use_reprojection ? stl->effects->taa_reproject_sample + 1 : + stl->effects->taa_current_sample; + BLI_halton_3d(primes, offset, samp, r); + EEVEE_update_noise(psl, fbl, r); + EEVEE_volumes_set_jitter(sldata, samp - 1); + EEVEE_materials_init(sldata, stl, fbl); + } + /* Copy previous persmat to UBO data */ + copy_m4_m4(sldata->common_data.prev_persmat, stl->effects->prev_persmat); + + if (((stl->effects->enabled_effects & EFFECT_TAA) != 0) && + (stl->effects->taa_current_sample > 1) && !DRW_state_is_image_render() && + !taa_use_reprojection) { + DRW_viewport_matrix_override_set(stl->effects->overide_persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(stl->effects->overide_persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(stl->effects->overide_winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(stl->effects->overide_wininv, DRW_MAT_WININV); + } + + /* Refresh Probes */ + DRW_stats_group_start("Probes Refresh"); + EEVEE_lightprobes_refresh(sldata, vedata); + /* Probes refresh can have reset the current sample. */ + if (stl->effects->taa_current_sample == 1) { + DRW_viewport_matrix_override_unset_all(); + } + EEVEE_lightprobes_refresh_planar(sldata, vedata); + DRW_stats_group_end(); + + /* Refresh shadows */ + DRW_stats_group_start("Shadows"); + EEVEE_draw_shadows(sldata, vedata); + DRW_stats_group_end(); + + /* Set ray type. */ + sldata->common_data.ray_type = EEVEE_RAY_CAMERA; + sldata->common_data.ray_depth = 0.0f; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + + GPU_framebuffer_bind(fbl->main_fb); + eGPUFrameBufferBits clear_bits = GPU_DEPTH_BIT; + clear_bits |= (DRW_state_draw_background()) ? 0 : GPU_COLOR_BIT; + clear_bits |= ((stl->effects->enabled_effects & EFFECT_SSS) != 0) ? GPU_STENCIL_BIT : 0; + GPU_framebuffer_clear(fbl->main_fb, clear_bits, clear_col, clear_depth, clear_stencil); + + /* Depth prepass */ + DRW_stats_group_start("Prepass"); + DRW_draw_pass(psl->depth_pass); + DRW_draw_pass(psl->depth_pass_cull); + DRW_stats_group_end(); + + /* Create minmax texture */ + DRW_stats_group_start("Main MinMax buffer"); + EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); + DRW_stats_group_end(); + + EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); + EEVEE_volumes_compute(sldata, vedata); + + /* Shading pass */ + DRW_stats_group_start("Shading"); + if (DRW_state_draw_background()) { + DRW_draw_pass(psl->background_pass); + } + EEVEE_draw_default_passes(psl); + DRW_draw_pass(psl->material_pass); + DRW_draw_pass(psl->material_pass_cull); + EEVEE_subsurface_data_render(sldata, vedata); + DRW_stats_group_end(); + + /* Effects pre-transparency */ + EEVEE_subsurface_compute(sldata, vedata); + EEVEE_reflection_compute(sldata, vedata); + EEVEE_occlusion_draw_debug(sldata, vedata); + if (psl->probe_display) { + DRW_draw_pass(psl->probe_display); + } + EEVEE_refraction_compute(sldata, vedata); + + /* Opaque refraction */ + DRW_stats_group_start("Opaque Refraction"); + DRW_draw_pass(psl->refract_depth_pass); + DRW_draw_pass(psl->refract_depth_pass_cull); + DRW_draw_pass(psl->refract_pass); + DRW_stats_group_end(); + + /* Volumetrics Resolve Opaque */ + EEVEE_volumes_resolve(sldata, vedata); + + /* Transparent */ + DRW_draw_pass(psl->transparent_pass); + + /* Post Process */ + DRW_stats_group_start("Post FX"); + EEVEE_draw_effects(sldata, vedata); + DRW_stats_group_end(); + + if ((stl->effects->taa_current_sample > 1) && !DRW_state_is_image_render()) { + DRW_viewport_matrix_override_unset_all(); + } + } + + /* LookDev */ + EEVEE_lookdev_draw_background(vedata); + /* END */ + + /* Tonemapping and transfer result to default framebuffer. */ + bool use_render_settings = stl->g_data->use_color_render_settings; + + GPU_framebuffer_bind(dfbl->default_fb); + DRW_transform_to_display(stl->effects->final_tx, true, use_render_settings); + + /* Debug : Output buffer to view. */ + switch (G.debug_value) { + case 1: + if (txl->maxzbuffer) { + DRW_transform_to_display(txl->maxzbuffer, false, false); + } + break; + case 2: + if (effects->ssr_pdf_output) { + DRW_transform_to_display(effects->ssr_pdf_output, false, false); + } + break; + case 3: + if (effects->ssr_normal_input) { + DRW_transform_to_display(effects->ssr_normal_input, false, false); + } + break; + case 4: + if (effects->ssr_specrough_input) { + DRW_transform_to_display(effects->ssr_specrough_input, false, false); + } + break; + case 5: + if (txl->color_double_buffer) { + DRW_transform_to_display(txl->color_double_buffer, false, false); + } + break; + case 6: + if (effects->gtao_horizons_debug) { + DRW_transform_to_display(effects->gtao_horizons_debug, false, false); + } + break; + case 7: + if (effects->gtao_horizons) { + DRW_transform_to_display(effects->gtao_horizons, false, false); + } + break; + case 8: + if (effects->sss_data) { + DRW_transform_to_display(effects->sss_data, false, false); + } + break; + case 9: + if (effects->velocity_tx) { + DRW_transform_to_display(effects->velocity_tx, false, false); + } + break; + default: + break; + } + + EEVEE_volumes_free_smoke_textures(); + + stl->g_data->view_updated = false; } static void eevee_view_update(void *vedata) { - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - if (stl->g_data) { - stl->g_data->view_updated = true; - } + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + if (stl->g_data) { + stl->g_data->view_updated = true; + } } static void eevee_id_object_update(void *UNUSED(vedata), Object *object) { - EEVEE_LightProbeEngineData *ped = EEVEE_lightprobe_data_get(object); - if (ped != NULL && ped->dd.recalc != 0) { - ped->need_update = (ped->dd.recalc & (ID_RECALC_TRANSFORM | ID_RECALC_COPY_ON_WRITE)) != 0; - ped->dd.recalc = 0; - } - EEVEE_LightEngineData *led = EEVEE_light_data_get(object); - if (led != NULL && led->dd.recalc != 0) { - led->need_update = true; - led->dd.recalc = 0; - } - EEVEE_ObjectEngineData *oedata = EEVEE_object_data_get(object); - if (oedata != NULL && oedata->dd.recalc != 0) { - oedata->need_update = true; - oedata->dd.recalc = 0; - } + EEVEE_LightProbeEngineData *ped = EEVEE_lightprobe_data_get(object); + if (ped != NULL && ped->dd.recalc != 0) { + ped->need_update = (ped->dd.recalc & (ID_RECALC_TRANSFORM | ID_RECALC_COPY_ON_WRITE)) != 0; + ped->dd.recalc = 0; + } + EEVEE_LightEngineData *led = EEVEE_light_data_get(object); + if (led != NULL && led->dd.recalc != 0) { + led->need_update = true; + led->dd.recalc = 0; + } + EEVEE_ObjectEngineData *oedata = EEVEE_object_data_get(object); + if (oedata != NULL && oedata->dd.recalc != 0) { + oedata->need_update = true; + oedata->dd.recalc = 0; + } } static void eevee_id_world_update(void *vedata, World *wo) { - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - LightCache *lcache = stl->g_data->light_cache; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + LightCache *lcache = stl->g_data->light_cache; - EEVEE_WorldEngineData *wedata = EEVEE_world_data_ensure(wo); + EEVEE_WorldEngineData *wedata = EEVEE_world_data_ensure(wo); - if (wedata != NULL && wedata->dd.recalc != 0) { - if ((lcache->flag & LIGHTCACHE_BAKING) == 0) { - lcache->flag |= LIGHTCACHE_UPDATE_WORLD; - } - wedata->dd.recalc = 0; - } + if (wedata != NULL && wedata->dd.recalc != 0) { + if ((lcache->flag & LIGHTCACHE_BAKING) == 0) { + lcache->flag |= LIGHTCACHE_UPDATE_WORLD; + } + wedata->dd.recalc = 0; + } } static void eevee_id_update(void *vedata, ID *id) { - /* Handle updates based on ID type. */ - switch (GS(id->name)) { - case ID_WO: - eevee_id_world_update(vedata, (World *)id); - break; - case ID_OB: - eevee_id_object_update(vedata, (Object *)id); - break; - default: - /* pass */ - break; - } + /* Handle updates based on ID type. */ + switch (GS(id->name)) { + case ID_WO: + eevee_id_world_update(vedata, (World *)id); + break; + case ID_OB: + eevee_id_object_update(vedata, (Object *)id); + break; + default: + /* pass */ + break; + } } -static void eevee_render_to_image(void *vedata, RenderEngine *engine, struct RenderLayer *render_layer, const rcti *rect) +static void eevee_render_to_image(void *vedata, + RenderEngine *engine, + struct RenderLayer *render_layer, + const rcti *rect) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EEVEE_render_init(vedata, engine, draw_ctx->depsgraph); + const DRWContextState *draw_ctx = DRW_context_state_get(); + EEVEE_render_init(vedata, engine, draw_ctx->depsgraph); - DRW_render_object_iter(vedata, engine, draw_ctx->depsgraph, EEVEE_render_cache); + DRW_render_object_iter(vedata, engine, draw_ctx->depsgraph, EEVEE_render_cache); - /* Actually do the rendering. */ - EEVEE_render_draw(vedata, engine, render_layer, rect); + /* Actually do the rendering. */ + EEVEE_render_draw(vedata, engine, render_layer, rect); - EEVEE_volumes_free_smoke_textures(); + EEVEE_volumes_free_smoke_textures(); } static void eevee_engine_free(void) { - EEVEE_shaders_free(); - EEVEE_bloom_free(); - EEVEE_depth_of_field_free(); - EEVEE_effects_free(); - EEVEE_lightprobes_free(); - EEVEE_lights_free(); - EEVEE_materials_free(); - EEVEE_mist_free(); - EEVEE_motion_blur_free(); - EEVEE_occlusion_free(); - EEVEE_screen_raytrace_free(); - EEVEE_subsurface_free(); - EEVEE_volumes_free(); + EEVEE_shaders_free(); + EEVEE_bloom_free(); + EEVEE_depth_of_field_free(); + EEVEE_effects_free(); + EEVEE_lightprobes_free(); + EEVEE_lights_free(); + EEVEE_materials_free(); + EEVEE_mist_free(); + EEVEE_motion_blur_free(); + EEVEE_occlusion_free(); + EEVEE_screen_raytrace_free(); + EEVEE_subsurface_free(); + EEVEE_volumes_free(); } static const DrawEngineDataSize eevee_data_size = DRW_VIEWPORT_DATA_SIZE(EEVEE_Data); DrawEngineType draw_engine_eevee_type = { - NULL, NULL, - N_("Eevee"), - &eevee_data_size, - &eevee_engine_init, - &eevee_engine_free, - &eevee_cache_init, - &EEVEE_cache_populate, - &eevee_cache_finish, - &eevee_draw_background, - NULL, /* Everything is drawn in the background pass (see comment on function) */ - &eevee_view_update, - &eevee_id_update, - &eevee_render_to_image, + NULL, + NULL, + N_("Eevee"), + &eevee_data_size, + &eevee_engine_init, + &eevee_engine_free, + &eevee_cache_init, + &EEVEE_cache_populate, + &eevee_cache_finish, + &eevee_draw_background, + NULL, /* Everything is drawn in the background pass (see comment on function) */ + &eevee_view_update, + &eevee_id_update, + &eevee_render_to_image, }; RenderEngineType DRW_engine_viewport_eevee_type = { - NULL, NULL, - EEVEE_ENGINE, N_("Eevee"), RE_INTERNAL | RE_USE_SHADING_NODES | RE_USE_PREVIEW, - NULL, &DRW_render_to_image, NULL, NULL, NULL, NULL, - &EEVEE_render_update_passes, - &draw_engine_eevee_type, - {NULL, NULL, NULL}, + NULL, + NULL, + EEVEE_ENGINE, + N_("Eevee"), + RE_INTERNAL | RE_USE_SHADING_NODES | RE_USE_PREVIEW, + NULL, + &DRW_render_to_image, + NULL, + NULL, + NULL, + NULL, + &EEVEE_render_update_passes, + &draw_engine_eevee_type, + {NULL, NULL, NULL}, }; - #undef EEVEE_ENGINE diff --git a/source/blender/draw/engines/eevee/eevee_lightcache.c b/source/blender/draw/engines/eevee/eevee_lightcache.c index 812af1c6ac0..9ebd9542ef5 100644 --- a/source/blender/draw/engines/eevee/eevee_lightcache.c +++ b/source/blender/draw/engines/eevee/eevee_lightcache.c @@ -50,14 +50,14 @@ /* Rounded to nearest PowerOfTwo */ #if defined(IRRADIANCE_SH_L2) -#define IRRADIANCE_SAMPLE_SIZE_X 4 /* 3 in reality */ -#define IRRADIANCE_SAMPLE_SIZE_Y 4 /* 3 in reality */ +# define IRRADIANCE_SAMPLE_SIZE_X 4 /* 3 in reality */ +# define IRRADIANCE_SAMPLE_SIZE_Y 4 /* 3 in reality */ #elif defined(IRRADIANCE_CUBEMAP) -#define IRRADIANCE_SAMPLE_SIZE_X 8 -#define IRRADIANCE_SAMPLE_SIZE_Y 8 +# define IRRADIANCE_SAMPLE_SIZE_X 8 +# define IRRADIANCE_SAMPLE_SIZE_Y 8 #elif defined(IRRADIANCE_HL2) -#define IRRADIANCE_SAMPLE_SIZE_X 4 /* 3 in reality */ -#define IRRADIANCE_SAMPLE_SIZE_Y 2 +# define IRRADIANCE_SAMPLE_SIZE_X 4 /* 3 in reality */ +# define IRRADIANCE_SAMPLE_SIZE_Y 2 #endif #ifdef IRRADIANCE_SH_L2 @@ -71,8 +71,8 @@ #define IRRADIANCE_MAX_POOL_LAYER 256 #define IRRADIANCE_MAX_POOL_SIZE 1024 #define MAX_IRRADIANCE_SAMPLES \ - (IRRADIANCE_MAX_POOL_SIZE / IRRADIANCE_SAMPLE_SIZE_X) * \ - (IRRADIANCE_MAX_POOL_SIZE / IRRADIANCE_SAMPLE_SIZE_Y) + (IRRADIANCE_MAX_POOL_SIZE / IRRADIANCE_SAMPLE_SIZE_X) * \ + (IRRADIANCE_MAX_POOL_SIZE / IRRADIANCE_SAMPLE_SIZE_Y) /* TODO should be replace by a more elegant alternative. */ extern void DRW_opengl_context_enable(void); @@ -84,64 +84,66 @@ extern void DRW_gawain_render_context_enable(void *re_gpu_context); extern void DRW_gawain_render_context_disable(void *re_gpu_context); typedef struct EEVEE_LightBake { - Depsgraph *depsgraph; - ViewLayer *view_layer; - ViewLayer *view_layer_input; - LightCache *lcache; - Scene *scene; - struct Main *bmain; - EEVEE_ViewLayerData *sldata; - - LightProbe **probe; /* Current probe being rendered. */ - GPUTexture *rt_color; /* Target cube color texture. */ - GPUTexture *rt_depth; /* Target cube depth texture. */ - GPUFrameBuffer *rt_fb[6]; /* Target cube framebuffers. */ - GPUFrameBuffer *store_fb; /* Storage framebuffer. */ - int rt_res; /* Cube render target resolution. */ - - /* Shared */ - int layer; /* Target layer to store the data to. */ - float samples_ct, invsamples_ct; /* Sample count for the convolution. */ - float lod_factor; /* Sampling bias during convolution step. */ - float lod_max; /* Max cubemap LOD to sample when convolving. */ - int cube_len, grid_len; /* Number of probes to render + world probe. */ - - /* Irradiance grid */ - EEVEE_LightGrid *grid; /* Current probe being rendered (UBO data). */ - int irr_cube_res; /* Target cubemap at MIP 0. */ - int irr_size[3]; /* Size of the irradiance texture. */ - int total_irr_samples; /* Total for all grids */ - int grid_sample; /* Nth sample of the current grid being rendered. */ - int grid_sample_len; /* Total number of samples for the current grid. */ - int grid_curr; /* Nth grid in the cache being rendered. */ - int bounce_curr, bounce_len; /* The current light bounce being evaluated. */ - float vis_res; /* Resolution of the Visibility shadowmap. */ - GPUTexture *grid_prev; /* Result of previous light bounce. */ - LightProbe **grid_prb; /* Pointer to the id.data of the probe object. */ - - /* Reflection probe */ - EEVEE_LightProbe *cube; /* Current probe being rendered (UBO data). */ - int ref_cube_res; /* Target cubemap at MIP 0. */ - int cube_offset; /* Index of the current cube. */ - LightProbe **cube_prb; /* Pointer to the id.data of the probe object. */ - - /* Dummy Textures */ - struct GPUTexture *dummy_color, *dummy_depth; - struct GPUTexture *dummy_layer_color; - - int total, done; /* to compute progress */ - short *stop, *do_update; - float *progress; - - bool resource_only; /* For only handling the resources. */ - bool own_resources; - bool own_light_cache; /* If the lightcache was created for baking, it's first owned by the baker. */ - int delay; /* ms. delay the start of the baking to not slowdown interactions (TODO remove) */ - int frame; /* Scene frame to bake. */ - - void *gl_context, *gpu_context; /* If running in parallel (in a separate thread), use this context. */ - - ThreadMutex *mutex; + Depsgraph *depsgraph; + ViewLayer *view_layer; + ViewLayer *view_layer_input; + LightCache *lcache; + Scene *scene; + struct Main *bmain; + EEVEE_ViewLayerData *sldata; + + LightProbe **probe; /* Current probe being rendered. */ + GPUTexture *rt_color; /* Target cube color texture. */ + GPUTexture *rt_depth; /* Target cube depth texture. */ + GPUFrameBuffer *rt_fb[6]; /* Target cube framebuffers. */ + GPUFrameBuffer *store_fb; /* Storage framebuffer. */ + int rt_res; /* Cube render target resolution. */ + + /* Shared */ + int layer; /* Target layer to store the data to. */ + float samples_ct, invsamples_ct; /* Sample count for the convolution. */ + float lod_factor; /* Sampling bias during convolution step. */ + float lod_max; /* Max cubemap LOD to sample when convolving. */ + int cube_len, grid_len; /* Number of probes to render + world probe. */ + + /* Irradiance grid */ + EEVEE_LightGrid *grid; /* Current probe being rendered (UBO data). */ + int irr_cube_res; /* Target cubemap at MIP 0. */ + int irr_size[3]; /* Size of the irradiance texture. */ + int total_irr_samples; /* Total for all grids */ + int grid_sample; /* Nth sample of the current grid being rendered. */ + int grid_sample_len; /* Total number of samples for the current grid. */ + int grid_curr; /* Nth grid in the cache being rendered. */ + int bounce_curr, bounce_len; /* The current light bounce being evaluated. */ + float vis_res; /* Resolution of the Visibility shadowmap. */ + GPUTexture *grid_prev; /* Result of previous light bounce. */ + LightProbe **grid_prb; /* Pointer to the id.data of the probe object. */ + + /* Reflection probe */ + EEVEE_LightProbe *cube; /* Current probe being rendered (UBO data). */ + int ref_cube_res; /* Target cubemap at MIP 0. */ + int cube_offset; /* Index of the current cube. */ + LightProbe **cube_prb; /* Pointer to the id.data of the probe object. */ + + /* Dummy Textures */ + struct GPUTexture *dummy_color, *dummy_depth; + struct GPUTexture *dummy_layer_color; + + int total, done; /* to compute progress */ + short *stop, *do_update; + float *progress; + + bool resource_only; /* For only handling the resources. */ + bool own_resources; + bool + own_light_cache; /* If the lightcache was created for baking, it's first owned by the baker. */ + int delay; /* ms. delay the start of the baking to not slowdown interactions (TODO remove) */ + int frame; /* Scene frame to bake. */ + + void *gl_context, + *gpu_context; /* If running in parallel (in a separate thread), use this context. */ + + ThreadMutex *mutex; } EEVEE_LightBake; /* -------------------------------------------------------------------- */ @@ -151,1068 +153,1115 @@ typedef struct EEVEE_LightBake { /* Return memory footprint in bytes. */ static uint eevee_lightcache_memsize_get(LightCache *lcache) { - uint size = 0; - if (lcache->grid_tx.data) { - size += MEM_allocN_len(lcache->grid_tx.data); - } - if (lcache->cube_tx.data) { - size += MEM_allocN_len(lcache->cube_tx.data); - for (int mip = 0; mip < lcache->mips_len; ++mip) { - size += MEM_allocN_len(lcache->cube_mips[mip].data); - } - } - return size; + uint size = 0; + if (lcache->grid_tx.data) { + size += MEM_allocN_len(lcache->grid_tx.data); + } + if (lcache->cube_tx.data) { + size += MEM_allocN_len(lcache->cube_tx.data); + for (int mip = 0; mip < lcache->mips_len; ++mip) { + size += MEM_allocN_len(lcache->cube_mips[mip].data); + } + } + return size; } static int eevee_lightcache_irradiance_sample_count(LightCache *lcache) { - int total_irr_samples = 0; + int total_irr_samples = 0; - for (int i = 1; i < lcache->grid_len; ++i) { - EEVEE_LightGrid *egrid = lcache->grid_data + i; - total_irr_samples += egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2]; - } - return total_irr_samples; + for (int i = 1; i < lcache->grid_len; ++i) { + EEVEE_LightGrid *egrid = lcache->grid_data + i; + total_irr_samples += egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2]; + } + return total_irr_samples; } void EEVEE_lightcache_info_update(SceneEEVEE *eevee) { - LightCache *lcache = eevee->light_cache; - - if (lcache != NULL) { - if (lcache->flag & LIGHTCACHE_BAKING) { - BLI_strncpy(eevee->light_cache_info, IFACE_("Baking light cache"), sizeof(eevee->light_cache_info)); - return; - } - - char formatted_mem[15]; - BLI_str_format_byte_unit(formatted_mem, eevee_lightcache_memsize_get(lcache), true); - - int irr_samples = eevee_lightcache_irradiance_sample_count(lcache); - - BLI_snprintf(eevee->light_cache_info, sizeof(eevee->light_cache_info), IFACE_("%d Ref. Cubemaps, %d Irr. Samples (%s in memory)"), lcache->cube_len - 1, irr_samples, formatted_mem); - } - else { - BLI_strncpy(eevee->light_cache_info, IFACE_("No light cache in this scene"), sizeof(eevee->light_cache_info)); - } + LightCache *lcache = eevee->light_cache; + + if (lcache != NULL) { + if (lcache->flag & LIGHTCACHE_BAKING) { + BLI_strncpy( + eevee->light_cache_info, IFACE_("Baking light cache"), sizeof(eevee->light_cache_info)); + return; + } + + char formatted_mem[15]; + BLI_str_format_byte_unit(formatted_mem, eevee_lightcache_memsize_get(lcache), true); + + int irr_samples = eevee_lightcache_irradiance_sample_count(lcache); + + BLI_snprintf(eevee->light_cache_info, + sizeof(eevee->light_cache_info), + IFACE_("%d Ref. Cubemaps, %d Irr. Samples (%s in memory)"), + lcache->cube_len - 1, + irr_samples, + formatted_mem); + } + else { + BLI_strncpy(eevee->light_cache_info, + IFACE_("No light cache in this scene"), + sizeof(eevee->light_cache_info)); + } } static void irradiance_pool_size_get(int visibility_size, int total_samples, int r_size[3]) { - /* Compute how many irradiance samples we can store per visibility sample. */ - int irr_per_vis = (visibility_size / IRRADIANCE_SAMPLE_SIZE_X) * - (visibility_size / IRRADIANCE_SAMPLE_SIZE_Y); - - /* The irradiance itself take one layer, hence the +1 */ - int layer_ct = MIN2(irr_per_vis + 1, IRRADIANCE_MAX_POOL_LAYER); - - int texel_ct = (int)ceilf((float)total_samples / (float)(layer_ct - 1)); - r_size[0] = visibility_size * max_ii(1, min_ii(texel_ct, (IRRADIANCE_MAX_POOL_SIZE / visibility_size))); - r_size[1] = visibility_size * max_ii(1, (texel_ct / (IRRADIANCE_MAX_POOL_SIZE / visibility_size))); - r_size[2] = layer_ct; + /* Compute how many irradiance samples we can store per visibility sample. */ + int irr_per_vis = (visibility_size / IRRADIANCE_SAMPLE_SIZE_X) * + (visibility_size / IRRADIANCE_SAMPLE_SIZE_Y); + + /* The irradiance itself take one layer, hence the +1 */ + int layer_ct = MIN2(irr_per_vis + 1, IRRADIANCE_MAX_POOL_LAYER); + + int texel_ct = (int)ceilf((float)total_samples / (float)(layer_ct - 1)); + r_size[0] = visibility_size * + max_ii(1, min_ii(texel_ct, (IRRADIANCE_MAX_POOL_SIZE / visibility_size))); + r_size[1] = visibility_size * + max_ii(1, (texel_ct / (IRRADIANCE_MAX_POOL_SIZE / visibility_size))); + r_size[2] = layer_ct; } -static bool EEVEE_lightcache_validate( - const LightCache *light_cache, - const int cube_len, - const int cube_res, - const int grid_len, - const int irr_size[3]) +static bool EEVEE_lightcache_validate(const LightCache *light_cache, + const int cube_len, + const int cube_res, + const int grid_len, + const int irr_size[3]) { - if (light_cache) { - /* See if we need the same amount of texture space. */ - if ((irr_size[0] == light_cache->grid_tx.tex_size[0]) && - (irr_size[1] == light_cache->grid_tx.tex_size[1]) && - (irr_size[2] == light_cache->grid_tx.tex_size[2]) && - (grid_len == light_cache->grid_len)) - { - int mip_len = (int)(floorf(log2f(cube_res)) - MIN_CUBE_LOD_LEVEL); - if ((cube_res == light_cache->cube_tx.tex_size[0]) && - (cube_len == light_cache->cube_tx.tex_size[2]) && - (mip_len == light_cache->mips_len)) - { - return true; - } - } - } - return false; + if (light_cache) { + /* See if we need the same amount of texture space. */ + if ((irr_size[0] == light_cache->grid_tx.tex_size[0]) && + (irr_size[1] == light_cache->grid_tx.tex_size[1]) && + (irr_size[2] == light_cache->grid_tx.tex_size[2]) && (grid_len == light_cache->grid_len)) { + int mip_len = (int)(floorf(log2f(cube_res)) - MIN_CUBE_LOD_LEVEL); + if ((cube_res == light_cache->cube_tx.tex_size[0]) && + (cube_len == light_cache->cube_tx.tex_size[2]) && (mip_len == light_cache->mips_len)) { + return true; + } + } + } + return false; } -LightCache *EEVEE_lightcache_create( - const int grid_len, - const int cube_len, - const int cube_size, - const int vis_size, - const int irr_size[3]) +LightCache *EEVEE_lightcache_create(const int grid_len, + const int cube_len, + const int cube_size, + const int vis_size, + const int irr_size[3]) { - LightCache *light_cache = MEM_callocN(sizeof(LightCache), "LightCache"); + LightCache *light_cache = MEM_callocN(sizeof(LightCache), "LightCache"); - light_cache->cube_data = MEM_callocN(sizeof(EEVEE_LightProbe) * cube_len, "EEVEE_LightProbe"); - light_cache->grid_data = MEM_callocN(sizeof(EEVEE_LightGrid) * grid_len, "EEVEE_LightGrid"); + light_cache->cube_data = MEM_callocN(sizeof(EEVEE_LightProbe) * cube_len, "EEVEE_LightProbe"); + light_cache->grid_data = MEM_callocN(sizeof(EEVEE_LightGrid) * grid_len, "EEVEE_LightGrid"); - light_cache->grid_tx.tex = DRW_texture_create_2d_array(irr_size[0], irr_size[1], irr_size[2], IRRADIANCE_FORMAT, DRW_TEX_FILTER, NULL); - light_cache->grid_tx.tex_size[0] = irr_size[0]; - light_cache->grid_tx.tex_size[1] = irr_size[1]; - light_cache->grid_tx.tex_size[2] = irr_size[2]; + light_cache->grid_tx.tex = DRW_texture_create_2d_array( + irr_size[0], irr_size[1], irr_size[2], IRRADIANCE_FORMAT, DRW_TEX_FILTER, NULL); + light_cache->grid_tx.tex_size[0] = irr_size[0]; + light_cache->grid_tx.tex_size[1] = irr_size[1]; + light_cache->grid_tx.tex_size[2] = irr_size[2]; - light_cache->cube_tx.tex = DRW_texture_create_2d_array(cube_size, cube_size, cube_len, GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); - light_cache->cube_tx.tex_size[0] = cube_size; - light_cache->cube_tx.tex_size[1] = cube_size; - light_cache->cube_tx.tex_size[2] = cube_len; + light_cache->cube_tx.tex = DRW_texture_create_2d_array( + cube_size, cube_size, cube_len, GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); + light_cache->cube_tx.tex_size[0] = cube_size; + light_cache->cube_tx.tex_size[1] = cube_size; + light_cache->cube_tx.tex_size[2] = cube_len; - light_cache->mips_len = (int)(floorf(log2f(cube_size)) - MIN_CUBE_LOD_LEVEL); - light_cache->vis_res = vis_size; - light_cache->ref_res = cube_size; + light_cache->mips_len = (int)(floorf(log2f(cube_size)) - MIN_CUBE_LOD_LEVEL); + light_cache->vis_res = vis_size; + light_cache->ref_res = cube_size; - light_cache->cube_mips = MEM_callocN(sizeof(LightCacheTexture) * light_cache->mips_len, "LightCacheTexture"); + light_cache->cube_mips = MEM_callocN(sizeof(LightCacheTexture) * light_cache->mips_len, + "LightCacheTexture"); - for (int mip = 0; mip < light_cache->mips_len; ++mip) { - GPU_texture_get_mipmap_size(light_cache->cube_tx.tex, mip + 1, light_cache->cube_mips[mip].tex_size); - } + for (int mip = 0; mip < light_cache->mips_len; ++mip) { + GPU_texture_get_mipmap_size( + light_cache->cube_tx.tex, mip + 1, light_cache->cube_mips[mip].tex_size); + } - light_cache->flag = LIGHTCACHE_UPDATE_WORLD | LIGHTCACHE_UPDATE_CUBE | LIGHTCACHE_UPDATE_GRID; + light_cache->flag = LIGHTCACHE_UPDATE_WORLD | LIGHTCACHE_UPDATE_CUBE | LIGHTCACHE_UPDATE_GRID; - return light_cache; + return light_cache; } void EEVEE_lightcache_load(LightCache *lcache) { - if (lcache->grid_tx.tex == NULL && lcache->grid_tx.data) { - lcache->grid_tx.tex = GPU_texture_create_nD( - lcache->grid_tx.tex_size[0], - lcache->grid_tx.tex_size[1], - lcache->grid_tx.tex_size[2], - 2, - lcache->grid_tx.data, - IRRADIANCE_FORMAT, - GPU_DATA_UNSIGNED_BYTE, - 0, - false, - NULL); - GPU_texture_bind(lcache->grid_tx.tex, 0); - GPU_texture_filter_mode(lcache->grid_tx.tex, true); - GPU_texture_unbind(lcache->grid_tx.tex); - } - - if (lcache->cube_tx.tex == NULL && lcache->cube_tx.data) { - lcache->cube_tx.tex = GPU_texture_create_nD( - lcache->cube_tx.tex_size[0], - lcache->cube_tx.tex_size[1], - lcache->cube_tx.tex_size[2], - 2, - lcache->cube_tx.data, - GPU_R11F_G11F_B10F, - GPU_DATA_10_11_11_REV, - 0, - false, - NULL); - GPU_texture_bind(lcache->cube_tx.tex, 0); - GPU_texture_mipmap_mode(lcache->cube_tx.tex, true, true); - for (int mip = 0; mip < lcache->mips_len; ++mip) { - GPU_texture_add_mipmap(lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, mip + 1, lcache->cube_mips[mip].data); - } - GPU_texture_unbind(lcache->cube_tx.tex); - } + if (lcache->grid_tx.tex == NULL && lcache->grid_tx.data) { + lcache->grid_tx.tex = GPU_texture_create_nD(lcache->grid_tx.tex_size[0], + lcache->grid_tx.tex_size[1], + lcache->grid_tx.tex_size[2], + 2, + lcache->grid_tx.data, + IRRADIANCE_FORMAT, + GPU_DATA_UNSIGNED_BYTE, + 0, + false, + NULL); + GPU_texture_bind(lcache->grid_tx.tex, 0); + GPU_texture_filter_mode(lcache->grid_tx.tex, true); + GPU_texture_unbind(lcache->grid_tx.tex); + } + + if (lcache->cube_tx.tex == NULL && lcache->cube_tx.data) { + lcache->cube_tx.tex = GPU_texture_create_nD(lcache->cube_tx.tex_size[0], + lcache->cube_tx.tex_size[1], + lcache->cube_tx.tex_size[2], + 2, + lcache->cube_tx.data, + GPU_R11F_G11F_B10F, + GPU_DATA_10_11_11_REV, + 0, + false, + NULL); + GPU_texture_bind(lcache->cube_tx.tex, 0); + GPU_texture_mipmap_mode(lcache->cube_tx.tex, true, true); + for (int mip = 0; mip < lcache->mips_len; ++mip) { + GPU_texture_add_mipmap( + lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, mip + 1, lcache->cube_mips[mip].data); + } + GPU_texture_unbind(lcache->cube_tx.tex); + } } static void eevee_lightbake_readback_irradiance(LightCache *lcache) { - MEM_SAFE_FREE(lcache->grid_tx.data); - lcache->grid_tx.data = GPU_texture_read(lcache->grid_tx.tex, GPU_DATA_UNSIGNED_BYTE, 0); - lcache->grid_tx.data_type = LIGHTCACHETEX_BYTE; - lcache->grid_tx.components = 4; + MEM_SAFE_FREE(lcache->grid_tx.data); + lcache->grid_tx.data = GPU_texture_read(lcache->grid_tx.tex, GPU_DATA_UNSIGNED_BYTE, 0); + lcache->grid_tx.data_type = LIGHTCACHETEX_BYTE; + lcache->grid_tx.components = 4; } static void eevee_lightbake_readback_reflections(LightCache *lcache) { - MEM_SAFE_FREE(lcache->cube_tx.data); - lcache->cube_tx.data = GPU_texture_read(lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, 0); - lcache->cube_tx.data_type = LIGHTCACHETEX_UINT; - lcache->cube_tx.components = 1; - - for (int mip = 0; mip < lcache->mips_len; ++mip) { - LightCacheTexture *cube_mip = lcache->cube_mips + mip; - MEM_SAFE_FREE(cube_mip->data); - GPU_texture_get_mipmap_size(lcache->cube_tx.tex, mip + 1, cube_mip->tex_size); - - cube_mip->data = GPU_texture_read(lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, mip + 1); - cube_mip->data_type = LIGHTCACHETEX_UINT; - cube_mip->components = 1; - } + MEM_SAFE_FREE(lcache->cube_tx.data); + lcache->cube_tx.data = GPU_texture_read(lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, 0); + lcache->cube_tx.data_type = LIGHTCACHETEX_UINT; + lcache->cube_tx.components = 1; + + for (int mip = 0; mip < lcache->mips_len; ++mip) { + LightCacheTexture *cube_mip = lcache->cube_mips + mip; + MEM_SAFE_FREE(cube_mip->data); + GPU_texture_get_mipmap_size(lcache->cube_tx.tex, mip + 1, cube_mip->tex_size); + + cube_mip->data = GPU_texture_read(lcache->cube_tx.tex, GPU_DATA_10_11_11_REV, mip + 1); + cube_mip->data_type = LIGHTCACHETEX_UINT; + cube_mip->components = 1; + } } void EEVEE_lightcache_free(LightCache *lcache) { - DRW_TEXTURE_FREE_SAFE(lcache->cube_tx.tex); - MEM_SAFE_FREE(lcache->cube_tx.data); - DRW_TEXTURE_FREE_SAFE(lcache->grid_tx.tex); - MEM_SAFE_FREE(lcache->grid_tx.data); - - if (lcache->cube_mips) { - for (int i = 0; i < lcache->mips_len; ++i) { - MEM_SAFE_FREE(lcache->cube_mips[i].data); - } - MEM_SAFE_FREE(lcache->cube_mips); - } - - MEM_SAFE_FREE(lcache->cube_data); - MEM_SAFE_FREE(lcache->grid_data); - MEM_freeN(lcache); + DRW_TEXTURE_FREE_SAFE(lcache->cube_tx.tex); + MEM_SAFE_FREE(lcache->cube_tx.data); + DRW_TEXTURE_FREE_SAFE(lcache->grid_tx.tex); + MEM_SAFE_FREE(lcache->grid_tx.data); + + if (lcache->cube_mips) { + for (int i = 0; i < lcache->mips_len; ++i) { + MEM_SAFE_FREE(lcache->cube_mips[i].data); + } + MEM_SAFE_FREE(lcache->cube_mips); + } + + MEM_SAFE_FREE(lcache->cube_data); + MEM_SAFE_FREE(lcache->grid_data); + MEM_freeN(lcache); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Light Bake Context * \{ */ static void eevee_lightbake_context_enable(EEVEE_LightBake *lbake) { - if (lbake->gl_context) { - DRW_opengl_render_context_enable(lbake->gl_context); - if (lbake->gpu_context == NULL) { - lbake->gpu_context = GPU_context_create(); - } - DRW_gawain_render_context_enable(lbake->gpu_context); - } - else { - DRW_opengl_context_enable(); - } + if (lbake->gl_context) { + DRW_opengl_render_context_enable(lbake->gl_context); + if (lbake->gpu_context == NULL) { + lbake->gpu_context = GPU_context_create(); + } + DRW_gawain_render_context_enable(lbake->gpu_context); + } + else { + DRW_opengl_context_enable(); + } } static void eevee_lightbake_context_disable(EEVEE_LightBake *lbake) { - if (lbake->gl_context) { - DRW_gawain_render_context_disable(lbake->gpu_context); - DRW_opengl_render_context_disable(lbake->gl_context); - } - else { - DRW_opengl_context_disable(); - } + if (lbake->gl_context) { + DRW_gawain_render_context_disable(lbake->gpu_context); + DRW_opengl_render_context_disable(lbake->gl_context); + } + else { + DRW_opengl_context_disable(); + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Light Bake Job * \{ */ static void eevee_lightbake_count_probes(EEVEE_LightBake *lbake) { - Depsgraph *depsgraph = lbake->depsgraph; - - /* At least one of each for the world */ - lbake->grid_len = lbake->cube_len = lbake->total_irr_samples = 1; - - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN(depsgraph, ob) - { - const int ob_visibility = BKE_object_visibility(ob, DAG_EVAL_RENDER); - if ((ob_visibility & OB_VISIBLE_SELF) == 0) { - continue; - } - - if (ob->type == OB_LIGHTPROBE) { - LightProbe *prb = (LightProbe *)ob->data; - - if (prb->type == LIGHTPROBE_TYPE_GRID) { - lbake->total_irr_samples += prb->grid_resolution_x * prb->grid_resolution_y * prb->grid_resolution_z; - lbake->grid_len++; - } - else if (prb->type == LIGHTPROBE_TYPE_CUBE) { - lbake->cube_len++; - } - } - } - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; + Depsgraph *depsgraph = lbake->depsgraph; + + /* At least one of each for the world */ + lbake->grid_len = lbake->cube_len = lbake->total_irr_samples = 1; + + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN (depsgraph, ob) { + const int ob_visibility = BKE_object_visibility(ob, DAG_EVAL_RENDER); + if ((ob_visibility & OB_VISIBLE_SELF) == 0) { + continue; + } + + if (ob->type == OB_LIGHTPROBE) { + LightProbe *prb = (LightProbe *)ob->data; + + if (prb->type == LIGHTPROBE_TYPE_GRID) { + lbake->total_irr_samples += prb->grid_resolution_x * prb->grid_resolution_y * + prb->grid_resolution_z; + lbake->grid_len++; + } + else if (prb->type == LIGHTPROBE_TYPE_CUBE) { + lbake->cube_len++; + } + } + } + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; } static void eevee_lightbake_create_render_target(EEVEE_LightBake *lbake, int rt_res) { - lbake->rt_depth = DRW_texture_create_cube(rt_res, GPU_DEPTH_COMPONENT24, 0, NULL); - lbake->rt_color = DRW_texture_create_cube(rt_res, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); - - for (int i = 0; i < 6; ++i) { - GPU_framebuffer_ensure_config(&lbake->rt_fb[i], { - GPU_ATTACHMENT_TEXTURE_CUBEFACE(lbake->rt_depth, i), - GPU_ATTACHMENT_TEXTURE_CUBEFACE(lbake->rt_color, i) - }); - } - - GPU_framebuffer_ensure_config(&lbake->store_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE - }); + lbake->rt_depth = DRW_texture_create_cube(rt_res, GPU_DEPTH_COMPONENT24, 0, NULL); + lbake->rt_color = DRW_texture_create_cube( + rt_res, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); + + for (int i = 0; i < 6; ++i) { + GPU_framebuffer_ensure_config(&lbake->rt_fb[i], + {GPU_ATTACHMENT_TEXTURE_CUBEFACE(lbake->rt_depth, i), + GPU_ATTACHMENT_TEXTURE_CUBEFACE(lbake->rt_color, i)}); + } + + GPU_framebuffer_ensure_config(&lbake->store_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_NONE}); } static void eevee_lightbake_create_resources(EEVEE_LightBake *lbake) { - Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); - SceneEEVEE *eevee = &scene_eval->eevee; - - lbake->bounce_len = eevee->gi_diffuse_bounces; - lbake->vis_res = eevee->gi_visibility_resolution; - lbake->rt_res = eevee->gi_cubemap_resolution; - - irradiance_pool_size_get(lbake->vis_res, lbake->total_irr_samples, lbake->irr_size); - - lbake->ref_cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(lbake->rt_res); - - lbake->cube_prb = MEM_callocN(sizeof(LightProbe *) * lbake->cube_len, "EEVEE Cube visgroup ptr"); - lbake->grid_prb = MEM_callocN(sizeof(LightProbe *) * lbake->grid_len, "EEVEE Grid visgroup ptr"); - - lbake->grid_prev = DRW_texture_create_2d_array( - lbake->irr_size[0], lbake->irr_size[1], lbake->irr_size[2], - IRRADIANCE_FORMAT, DRW_TEX_FILTER, NULL); - - /* Ensure Light Cache is ready to accept new data. If not recreate one. - * WARNING: All the following must be threadsafe. It's currently protected - * by the DRW mutex. */ - lbake->lcache = eevee->light_cache; - - /* TODO validate irradiance and reflection cache independently... */ - if (!EEVEE_lightcache_validate( - lbake->lcache, lbake->cube_len, lbake->ref_cube_res, lbake->grid_len, lbake->irr_size)) - { - eevee->light_cache = lbake->lcache = NULL; - } - - if (lbake->lcache == NULL) { - lbake->lcache = EEVEE_lightcache_create( - lbake->grid_len, - lbake->cube_len, - lbake->ref_cube_res, - lbake->vis_res, - lbake->irr_size); - lbake->lcache->flag = LIGHTCACHE_UPDATE_WORLD | LIGHTCACHE_UPDATE_CUBE | LIGHTCACHE_UPDATE_GRID; - lbake->lcache->vis_res = lbake->vis_res; - lbake->own_light_cache = true; - - eevee->light_cache = lbake->lcache; - } - - EEVEE_lightcache_load(eevee->light_cache); - - lbake->lcache->flag |= LIGHTCACHE_BAKING; - lbake->lcache->cube_len = 1; + Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); + SceneEEVEE *eevee = &scene_eval->eevee; + + lbake->bounce_len = eevee->gi_diffuse_bounces; + lbake->vis_res = eevee->gi_visibility_resolution; + lbake->rt_res = eevee->gi_cubemap_resolution; + + irradiance_pool_size_get(lbake->vis_res, lbake->total_irr_samples, lbake->irr_size); + + lbake->ref_cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(lbake->rt_res); + + lbake->cube_prb = MEM_callocN(sizeof(LightProbe *) * lbake->cube_len, "EEVEE Cube visgroup ptr"); + lbake->grid_prb = MEM_callocN(sizeof(LightProbe *) * lbake->grid_len, "EEVEE Grid visgroup ptr"); + + lbake->grid_prev = DRW_texture_create_2d_array(lbake->irr_size[0], + lbake->irr_size[1], + lbake->irr_size[2], + IRRADIANCE_FORMAT, + DRW_TEX_FILTER, + NULL); + + /* Ensure Light Cache is ready to accept new data. If not recreate one. + * WARNING: All the following must be threadsafe. It's currently protected + * by the DRW mutex. */ + lbake->lcache = eevee->light_cache; + + /* TODO validate irradiance and reflection cache independently... */ + if (!EEVEE_lightcache_validate( + lbake->lcache, lbake->cube_len, lbake->ref_cube_res, lbake->grid_len, lbake->irr_size)) { + eevee->light_cache = lbake->lcache = NULL; + } + + if (lbake->lcache == NULL) { + lbake->lcache = EEVEE_lightcache_create( + lbake->grid_len, lbake->cube_len, lbake->ref_cube_res, lbake->vis_res, lbake->irr_size); + lbake->lcache->flag = LIGHTCACHE_UPDATE_WORLD | LIGHTCACHE_UPDATE_CUBE | + LIGHTCACHE_UPDATE_GRID; + lbake->lcache->vis_res = lbake->vis_res; + lbake->own_light_cache = true; + + eevee->light_cache = lbake->lcache; + } + + EEVEE_lightcache_load(eevee->light_cache); + + lbake->lcache->flag |= LIGHTCACHE_BAKING; + lbake->lcache->cube_len = 1; } -wmJob *EEVEE_lightbake_job_create( - struct wmWindowManager *wm, struct wmWindow *win, struct Main *bmain, - struct ViewLayer *view_layer, struct Scene *scene, int delay, int frame) +wmJob *EEVEE_lightbake_job_create(struct wmWindowManager *wm, + struct wmWindow *win, + struct Main *bmain, + struct ViewLayer *view_layer, + struct Scene *scene, + int delay, + int frame) { - EEVEE_LightBake *lbake = NULL; - - /* only one render job at a time */ - if (WM_jobs_test(wm, scene, WM_JOB_TYPE_RENDER)) { - return NULL; - } - - wmJob *wm_job = WM_jobs_get(wm, win, scene, "Bake Lighting", - WM_JOB_EXCL_RENDER | WM_JOB_PRIORITY | WM_JOB_PROGRESS, WM_JOB_TYPE_LIGHT_BAKE); - - /* If job exists do not recreate context and depsgraph. */ - EEVEE_LightBake *old_lbake = (EEVEE_LightBake *)WM_jobs_customdata_get(wm_job); - - if (old_lbake && (old_lbake->view_layer_input == view_layer) && (old_lbake->bmain == bmain)) { - lbake = MEM_callocN(sizeof(EEVEE_LightBake), "EEVEE_LightBake"); - /* Cannot reuse depsgraph for now because we cannot get the update from the - * main database directly. TODO reuse depsgraph and only update positions. */ - /* lbake->depsgraph = old_lbake->depsgraph; */ - lbake->depsgraph = DEG_graph_new(scene, view_layer, DAG_EVAL_RENDER); - - lbake->mutex = BLI_mutex_alloc(); - - BLI_mutex_lock(old_lbake->mutex); - old_lbake->own_resources = false; - - lbake->scene = scene; - lbake->bmain = bmain; - lbake->view_layer_input = view_layer; - lbake->gl_context = old_lbake->gl_context; - lbake->own_resources = true; - lbake->delay = delay; - lbake->frame = frame; - - if (lbake->gl_context == NULL) { - lbake->gl_context = WM_opengl_context_create(); - wm_window_reset_drawable(); - } - - if (old_lbake->stop != NULL) { - *old_lbake->stop = 1; - } - BLI_mutex_unlock(old_lbake->mutex); - } - else { - lbake = EEVEE_lightbake_job_data_alloc(bmain, view_layer, scene, true, frame); - lbake->delay = delay; - } - - WM_jobs_customdata_set(wm_job, lbake, EEVEE_lightbake_job_data_free); - WM_jobs_timer(wm_job, 0.4, NC_SCENE | NA_EDITED, 0); - WM_jobs_callbacks(wm_job, EEVEE_lightbake_job, NULL, EEVEE_lightbake_update, EEVEE_lightbake_update); - - G.is_break = false; - - return wm_job; + EEVEE_LightBake *lbake = NULL; + + /* only one render job at a time */ + if (WM_jobs_test(wm, scene, WM_JOB_TYPE_RENDER)) { + return NULL; + } + + wmJob *wm_job = WM_jobs_get(wm, + win, + scene, + "Bake Lighting", + WM_JOB_EXCL_RENDER | WM_JOB_PRIORITY | WM_JOB_PROGRESS, + WM_JOB_TYPE_LIGHT_BAKE); + + /* If job exists do not recreate context and depsgraph. */ + EEVEE_LightBake *old_lbake = (EEVEE_LightBake *)WM_jobs_customdata_get(wm_job); + + if (old_lbake && (old_lbake->view_layer_input == view_layer) && (old_lbake->bmain == bmain)) { + lbake = MEM_callocN(sizeof(EEVEE_LightBake), "EEVEE_LightBake"); + /* Cannot reuse depsgraph for now because we cannot get the update from the + * main database directly. TODO reuse depsgraph and only update positions. */ + /* lbake->depsgraph = old_lbake->depsgraph; */ + lbake->depsgraph = DEG_graph_new(scene, view_layer, DAG_EVAL_RENDER); + + lbake->mutex = BLI_mutex_alloc(); + + BLI_mutex_lock(old_lbake->mutex); + old_lbake->own_resources = false; + + lbake->scene = scene; + lbake->bmain = bmain; + lbake->view_layer_input = view_layer; + lbake->gl_context = old_lbake->gl_context; + lbake->own_resources = true; + lbake->delay = delay; + lbake->frame = frame; + + if (lbake->gl_context == NULL) { + lbake->gl_context = WM_opengl_context_create(); + wm_window_reset_drawable(); + } + + if (old_lbake->stop != NULL) { + *old_lbake->stop = 1; + } + BLI_mutex_unlock(old_lbake->mutex); + } + else { + lbake = EEVEE_lightbake_job_data_alloc(bmain, view_layer, scene, true, frame); + lbake->delay = delay; + } + + WM_jobs_customdata_set(wm_job, lbake, EEVEE_lightbake_job_data_free); + WM_jobs_timer(wm_job, 0.4, NC_SCENE | NA_EDITED, 0); + WM_jobs_callbacks( + wm_job, EEVEE_lightbake_job, NULL, EEVEE_lightbake_update, EEVEE_lightbake_update); + + G.is_break = false; + + return wm_job; } /* MUST run on the main thread. */ -void *EEVEE_lightbake_job_data_alloc( - struct Main *bmain, struct ViewLayer *view_layer, struct Scene *scene, bool run_as_job, int frame) +void *EEVEE_lightbake_job_data_alloc(struct Main *bmain, + struct ViewLayer *view_layer, + struct Scene *scene, + bool run_as_job, + int frame) { - BLI_assert(BLI_thread_is_main()); + BLI_assert(BLI_thread_is_main()); - EEVEE_LightBake *lbake = MEM_callocN(sizeof(EEVEE_LightBake), "EEVEE_LightBake"); + EEVEE_LightBake *lbake = MEM_callocN(sizeof(EEVEE_LightBake), "EEVEE_LightBake"); - lbake->depsgraph = DEG_graph_new(scene, view_layer, DAG_EVAL_RENDER); - lbake->scene = scene; - lbake->bmain = bmain; - lbake->view_layer_input = view_layer; - lbake->own_resources = true; - lbake->own_light_cache = false; - lbake->mutex = BLI_mutex_alloc(); - lbake->frame = frame; + lbake->depsgraph = DEG_graph_new(scene, view_layer, DAG_EVAL_RENDER); + lbake->scene = scene; + lbake->bmain = bmain; + lbake->view_layer_input = view_layer; + lbake->own_resources = true; + lbake->own_light_cache = false; + lbake->mutex = BLI_mutex_alloc(); + lbake->frame = frame; - if (run_as_job) { - lbake->gl_context = WM_opengl_context_create(); - wm_window_reset_drawable(); - } + if (run_as_job) { + lbake->gl_context = WM_opengl_context_create(); + wm_window_reset_drawable(); + } - return lbake; + return lbake; } void EEVEE_lightbake_job_data_free(void *custom_data) { - EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; + EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; + /* TODO reuse depsgraph. */ + /* if (lbake->own_resources) { */ + DEG_graph_free(lbake->depsgraph); + /* } */ + MEM_SAFE_FREE(lbake->cube_prb); + MEM_SAFE_FREE(lbake->grid_prb); - /* TODO reuse depsgraph. */ - /* if (lbake->own_resources) { */ - DEG_graph_free(lbake->depsgraph); - /* } */ + BLI_mutex_free(lbake->mutex); - MEM_SAFE_FREE(lbake->cube_prb); - MEM_SAFE_FREE(lbake->grid_prb); - - BLI_mutex_free(lbake->mutex); - - MEM_freeN(lbake); + MEM_freeN(lbake); } static void eevee_lightbake_delete_resources(EEVEE_LightBake *lbake) { - if (!lbake->resource_only) { - BLI_mutex_lock(lbake->mutex); - } - - if (lbake->gl_context) { - DRW_opengl_render_context_enable(lbake->gl_context); - DRW_gawain_render_context_enable(lbake->gpu_context); - } - else if (!lbake->resource_only) { - DRW_opengl_context_enable(); - } - - /* XXX Free the resources contained in the viewlayer data - * to be able to free the context before deleting the depsgraph. */ - if (lbake->sldata) { - EEVEE_view_layer_data_free(lbake->sldata); - } - - DRW_TEXTURE_FREE_SAFE(lbake->rt_depth); - DRW_TEXTURE_FREE_SAFE(lbake->rt_color); - DRW_TEXTURE_FREE_SAFE(lbake->grid_prev); - GPU_FRAMEBUFFER_FREE_SAFE(lbake->store_fb); - for (int i = 0; i < 6; ++i) { - GPU_FRAMEBUFFER_FREE_SAFE(lbake->rt_fb[i]); - } - - if (lbake->gpu_context) { - DRW_gawain_render_context_disable(lbake->gpu_context); - DRW_gawain_render_context_enable(lbake->gpu_context); - GPU_context_discard(lbake->gpu_context); - } - - if (lbake->gl_context && lbake->own_resources) { - /* Delete the baking context. */ - DRW_opengl_render_context_disable(lbake->gl_context); - WM_opengl_context_dispose(lbake->gl_context); - lbake->gpu_context = NULL; - lbake->gl_context = NULL; - } - else if (lbake->gl_context) { - DRW_opengl_render_context_disable(lbake->gl_context); - } - else if (!lbake->resource_only) { - DRW_opengl_context_disable(); - } - - if (!lbake->resource_only) { - BLI_mutex_unlock(lbake->mutex); - } + if (!lbake->resource_only) { + BLI_mutex_lock(lbake->mutex); + } + + if (lbake->gl_context) { + DRW_opengl_render_context_enable(lbake->gl_context); + DRW_gawain_render_context_enable(lbake->gpu_context); + } + else if (!lbake->resource_only) { + DRW_opengl_context_enable(); + } + + /* XXX Free the resources contained in the viewlayer data + * to be able to free the context before deleting the depsgraph. */ + if (lbake->sldata) { + EEVEE_view_layer_data_free(lbake->sldata); + } + + DRW_TEXTURE_FREE_SAFE(lbake->rt_depth); + DRW_TEXTURE_FREE_SAFE(lbake->rt_color); + DRW_TEXTURE_FREE_SAFE(lbake->grid_prev); + GPU_FRAMEBUFFER_FREE_SAFE(lbake->store_fb); + for (int i = 0; i < 6; ++i) { + GPU_FRAMEBUFFER_FREE_SAFE(lbake->rt_fb[i]); + } + + if (lbake->gpu_context) { + DRW_gawain_render_context_disable(lbake->gpu_context); + DRW_gawain_render_context_enable(lbake->gpu_context); + GPU_context_discard(lbake->gpu_context); + } + + if (lbake->gl_context && lbake->own_resources) { + /* Delete the baking context. */ + DRW_opengl_render_context_disable(lbake->gl_context); + WM_opengl_context_dispose(lbake->gl_context); + lbake->gpu_context = NULL; + lbake->gl_context = NULL; + } + else if (lbake->gl_context) { + DRW_opengl_render_context_disable(lbake->gl_context); + } + else if (!lbake->resource_only) { + DRW_opengl_context_disable(); + } + + if (!lbake->resource_only) { + BLI_mutex_unlock(lbake->mutex); + } } /* Cache as in draw cache not light cache. */ static void eevee_lightbake_cache_create(EEVEE_Data *vedata, EEVEE_LightBake *lbake) { - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); - lbake->sldata = sldata; - - /* Disable all effects BUT high bitdepth shadows. */ - scene_eval->eevee.flag &= SCE_EEVEE_SHADOW_HIGH_BITDEPTH; - scene_eval->eevee.taa_samples = 1; - scene_eval->eevee.gi_irradiance_smoothing = 0.0f; - - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - stl->g_data->background_alpha = 1.0f; - - /* XXX TODO remove this. This is in order to make the init functions work. */ - DRWMatrixState dummy_mats = {{{{{0}}}}}; - DRW_viewport_matrix_override_set_all(&dummy_mats); - - if (sldata->common_ubo == NULL) { - sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), &sldata->common_data); - } - if (sldata->clip_ubo == NULL) { - sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); - } - - /* HACK: set txl->color but unset it before Draw Manager frees it. */ - txl->color = lbake->rt_color; - int viewport_size[2] = { - GPU_texture_width(txl->color), - GPU_texture_height(txl->color), - }; - DRW_render_viewport_size_set(viewport_size); - - EEVEE_effects_init(sldata, vedata, NULL, true); - EEVEE_materials_init(sldata, stl, fbl); - EEVEE_lights_init(sldata); - EEVEE_lightprobes_init(sldata, vedata); - - EEVEE_effects_cache_init(sldata, vedata); - EEVEE_materials_cache_init(sldata, vedata); - EEVEE_lights_cache_init(sldata, vedata); - EEVEE_lightprobes_cache_init(sldata, vedata); - - EEVEE_lightbake_cache_init(sldata, vedata, lbake->rt_color, lbake->rt_depth); - - if (lbake->probe) { - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightProbe *prb = *lbake->probe; - pinfo->vis_data.collection = prb->visibility_grp; - pinfo->vis_data.invert = prb->flag & LIGHTPROBE_FLAG_INVERT_GROUP; - pinfo->vis_data.cached = false; - } - DRW_render_object_iter(vedata, NULL, lbake->depsgraph, EEVEE_render_cache); - - EEVEE_materials_cache_finish(vedata); - EEVEE_lights_cache_finish(sldata, vedata); - EEVEE_lightprobes_cache_finish(sldata, vedata); - - txl->color = NULL; - - DRW_render_instance_buffer_finish(); - DRW_hair_update(); + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); + lbake->sldata = sldata; + + /* Disable all effects BUT high bitdepth shadows. */ + scene_eval->eevee.flag &= SCE_EEVEE_SHADOW_HIGH_BITDEPTH; + scene_eval->eevee.taa_samples = 1; + scene_eval->eevee.gi_irradiance_smoothing = 0.0f; + + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + stl->g_data->background_alpha = 1.0f; + + /* XXX TODO remove this. This is in order to make the init functions work. */ + DRWMatrixState dummy_mats = {{{{{0}}}}}; + DRW_viewport_matrix_override_set_all(&dummy_mats); + + if (sldata->common_ubo == NULL) { + sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), + &sldata->common_data); + } + if (sldata->clip_ubo == NULL) { + sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); + } + + /* HACK: set txl->color but unset it before Draw Manager frees it. */ + txl->color = lbake->rt_color; + int viewport_size[2] = { + GPU_texture_width(txl->color), + GPU_texture_height(txl->color), + }; + DRW_render_viewport_size_set(viewport_size); + + EEVEE_effects_init(sldata, vedata, NULL, true); + EEVEE_materials_init(sldata, stl, fbl); + EEVEE_lights_init(sldata); + EEVEE_lightprobes_init(sldata, vedata); + + EEVEE_effects_cache_init(sldata, vedata); + EEVEE_materials_cache_init(sldata, vedata); + EEVEE_lights_cache_init(sldata, vedata); + EEVEE_lightprobes_cache_init(sldata, vedata); + + EEVEE_lightbake_cache_init(sldata, vedata, lbake->rt_color, lbake->rt_depth); + + if (lbake->probe) { + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightProbe *prb = *lbake->probe; + pinfo->vis_data.collection = prb->visibility_grp; + pinfo->vis_data.invert = prb->flag & LIGHTPROBE_FLAG_INVERT_GROUP; + pinfo->vis_data.cached = false; + } + DRW_render_object_iter(vedata, NULL, lbake->depsgraph, EEVEE_render_cache); + + EEVEE_materials_cache_finish(vedata); + EEVEE_lights_cache_finish(sldata, vedata); + EEVEE_lightprobes_cache_finish(sldata, vedata); + + txl->color = NULL; + + DRW_render_instance_buffer_finish(); + DRW_hair_update(); } static void eevee_lightbake_copy_irradiance(EEVEE_LightBake *lbake, LightCache *lcache) { - DRW_TEXTURE_FREE_SAFE(lbake->grid_prev); - - /* Copy texture by reading back and reuploading it. */ - float *tex = GPU_texture_read(lcache->grid_tx.tex, GPU_DATA_FLOAT, 0); - lbake->grid_prev = DRW_texture_create_2d_array(lbake->irr_size[0], lbake->irr_size[1], lbake->irr_size[2], - IRRADIANCE_FORMAT, DRW_TEX_FILTER, tex); - - MEM_freeN(tex); + DRW_TEXTURE_FREE_SAFE(lbake->grid_prev); + + /* Copy texture by reading back and reuploading it. */ + float *tex = GPU_texture_read(lcache->grid_tx.tex, GPU_DATA_FLOAT, 0); + lbake->grid_prev = DRW_texture_create_2d_array(lbake->irr_size[0], + lbake->irr_size[1], + lbake->irr_size[2], + IRRADIANCE_FORMAT, + DRW_TEX_FILTER, + tex); + + MEM_freeN(tex); } static void eevee_lightbake_render_world_sample(void *ved, void *user_data) { - EEVEE_Data *vedata = (EEVEE_Data *)ved; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; - Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); - LightCache *lcache = scene_eval->eevee.light_cache; - float clamp = scene_eval->eevee.gi_glossy_clamp; - float filter_quality = scene_eval->eevee.gi_filter_quality; - - /* TODO do this once for the whole bake when we have independent DRWManagers. */ - eevee_lightbake_cache_create(vedata, lbake); - - sldata->common_data.ray_type = EEVEE_RAY_GLOSSY; - sldata->common_data.ray_depth = 1; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - EEVEE_lightbake_render_world(sldata, vedata, lbake->rt_fb); - EEVEE_lightbake_filter_glossy(sldata, vedata, lbake->rt_color, lbake->store_fb, 0, 1.0f, lcache->mips_len, filter_quality, clamp); - - sldata->common_data.ray_type = EEVEE_RAY_DIFFUSE; - sldata->common_data.ray_depth = 1; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - EEVEE_lightbake_render_world(sldata, vedata, lbake->rt_fb); - EEVEE_lightbake_filter_diffuse(sldata, vedata, lbake->rt_color, lbake->store_fb, 0, 1.0f); - - /* Clear the cache to avoid white values in the grid. */ - GPU_framebuffer_texture_attach(lbake->store_fb, lbake->grid_prev, 0, 0); - GPU_framebuffer_bind(lbake->store_fb); - /* Clear to 1.0f for visibility. */ - GPU_framebuffer_clear_color(lbake->store_fb, ((float[4]){1.0f, 1.0f, 1.0f, 1.0f})); - DRW_draw_pass(vedata->psl->probe_grid_fill); - - SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); - - /* Make a copy for later. */ - eevee_lightbake_copy_irradiance(lbake, lcache); - - lcache->cube_len = 1; - lcache->grid_len = lbake->grid_len; - - lcache->flag |= LIGHTCACHE_CUBE_READY | LIGHTCACHE_GRID_READY; - lcache->flag &= ~LIGHTCACHE_UPDATE_WORLD; + EEVEE_Data *vedata = (EEVEE_Data *)ved; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; + Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); + LightCache *lcache = scene_eval->eevee.light_cache; + float clamp = scene_eval->eevee.gi_glossy_clamp; + float filter_quality = scene_eval->eevee.gi_filter_quality; + + /* TODO do this once for the whole bake when we have independent DRWManagers. */ + eevee_lightbake_cache_create(vedata, lbake); + + sldata->common_data.ray_type = EEVEE_RAY_GLOSSY; + sldata->common_data.ray_depth = 1; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + EEVEE_lightbake_render_world(sldata, vedata, lbake->rt_fb); + EEVEE_lightbake_filter_glossy(sldata, + vedata, + lbake->rt_color, + lbake->store_fb, + 0, + 1.0f, + lcache->mips_len, + filter_quality, + clamp); + + sldata->common_data.ray_type = EEVEE_RAY_DIFFUSE; + sldata->common_data.ray_depth = 1; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + EEVEE_lightbake_render_world(sldata, vedata, lbake->rt_fb); + EEVEE_lightbake_filter_diffuse(sldata, vedata, lbake->rt_color, lbake->store_fb, 0, 1.0f); + + /* Clear the cache to avoid white values in the grid. */ + GPU_framebuffer_texture_attach(lbake->store_fb, lbake->grid_prev, 0, 0); + GPU_framebuffer_bind(lbake->store_fb); + /* Clear to 1.0f for visibility. */ + GPU_framebuffer_clear_color(lbake->store_fb, ((float[4]){1.0f, 1.0f, 1.0f, 1.0f})); + DRW_draw_pass(vedata->psl->probe_grid_fill); + + SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); + + /* Make a copy for later. */ + eevee_lightbake_copy_irradiance(lbake, lcache); + + lcache->cube_len = 1; + lcache->grid_len = lbake->grid_len; + + lcache->flag |= LIGHTCACHE_CUBE_READY | LIGHTCACHE_GRID_READY; + lcache->flag &= ~LIGHTCACHE_UPDATE_WORLD; } static void cell_id_to_grid_loc(EEVEE_LightGrid *egrid, int cell_idx, int r_local_cell[3]) { - /* Keep in sync with lightprobe_grid_display_vert */ - r_local_cell[2] = cell_idx % egrid->resolution[2]; - r_local_cell[1] = (cell_idx / egrid->resolution[2]) % egrid->resolution[1]; - r_local_cell[0] = cell_idx / (egrid->resolution[2] * egrid->resolution[1]); + /* Keep in sync with lightprobe_grid_display_vert */ + r_local_cell[2] = cell_idx % egrid->resolution[2]; + r_local_cell[1] = (cell_idx / egrid->resolution[2]) % egrid->resolution[1]; + r_local_cell[0] = cell_idx / (egrid->resolution[2] * egrid->resolution[1]); } -static void compute_cell_id( - EEVEE_LightGrid *egrid, LightProbe *probe, - int cell_idx, int *r_final_idx, int r_local_cell[3], int *r_stride) +static void compute_cell_id(EEVEE_LightGrid *egrid, + LightProbe *probe, + int cell_idx, + int *r_final_idx, + int r_local_cell[3], + int *r_stride) { - const int cell_count = probe->grid_resolution_x * probe->grid_resolution_y * probe->grid_resolution_z; - - /* Add one for level 0 */ - int max_lvl = (int)floorf(log2f((float)MAX3(probe->grid_resolution_x, - probe->grid_resolution_y, - probe->grid_resolution_z))); - - int visited_cells = 0; - *r_stride = 0; - *r_final_idx = 0; - r_local_cell[0] = r_local_cell[1] = r_local_cell[2] = 0; - for (int lvl = max_lvl; lvl >= 0; --lvl) { - *r_stride = 1 << lvl; - int prev_stride = *r_stride << 1; - for (int i = 0; i < cell_count; ++i) { - *r_final_idx = i; - cell_id_to_grid_loc(egrid, *r_final_idx, r_local_cell); - if (((r_local_cell[0] % *r_stride) == 0) && - ((r_local_cell[1] % *r_stride) == 0) && - ((r_local_cell[2] % *r_stride) == 0)) - { - if (!(((r_local_cell[0] % prev_stride) == 0) && - ((r_local_cell[1] % prev_stride) == 0) && - ((r_local_cell[2] % prev_stride) == 0)) || - ((i == 0) && (lvl == max_lvl))) - { - if (visited_cells == cell_idx) { - return; - } - else { - visited_cells++; - } - } - } - } - } - - BLI_assert(0); + const int cell_count = probe->grid_resolution_x * probe->grid_resolution_y * + probe->grid_resolution_z; + + /* Add one for level 0 */ + int max_lvl = (int)floorf(log2f( + (float)MAX3(probe->grid_resolution_x, probe->grid_resolution_y, probe->grid_resolution_z))); + + int visited_cells = 0; + *r_stride = 0; + *r_final_idx = 0; + r_local_cell[0] = r_local_cell[1] = r_local_cell[2] = 0; + for (int lvl = max_lvl; lvl >= 0; --lvl) { + *r_stride = 1 << lvl; + int prev_stride = *r_stride << 1; + for (int i = 0; i < cell_count; ++i) { + *r_final_idx = i; + cell_id_to_grid_loc(egrid, *r_final_idx, r_local_cell); + if (((r_local_cell[0] % *r_stride) == 0) && ((r_local_cell[1] % *r_stride) == 0) && + ((r_local_cell[2] % *r_stride) == 0)) { + if (!(((r_local_cell[0] % prev_stride) == 0) && ((r_local_cell[1] % prev_stride) == 0) && + ((r_local_cell[2] % prev_stride) == 0)) || + ((i == 0) && (lvl == max_lvl))) { + if (visited_cells == cell_idx) { + return; + } + else { + visited_cells++; + } + } + } + } + } + + BLI_assert(0); } static void grid_loc_to_world_loc(EEVEE_LightGrid *egrid, int local_cell[3], float r_pos[3]) { - copy_v3_v3(r_pos, egrid->corner); - madd_v3_v3fl(r_pos, egrid->increment_x, local_cell[0]); - madd_v3_v3fl(r_pos, egrid->increment_y, local_cell[1]); - madd_v3_v3fl(r_pos, egrid->increment_z, local_cell[2]); + copy_v3_v3(r_pos, egrid->corner); + madd_v3_v3fl(r_pos, egrid->increment_x, local_cell[0]); + madd_v3_v3fl(r_pos, egrid->increment_y, local_cell[1]); + madd_v3_v3fl(r_pos, egrid->increment_z, local_cell[2]); } static void eevee_lightbake_render_grid_sample(void *ved, void *user_data) { - EEVEE_Data *vedata = (EEVEE_Data *)ved; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; - EEVEE_LightGrid *egrid = lbake->grid; - LightProbe *prb = *lbake->probe; - Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); - LightCache *lcache = scene_eval->eevee.light_cache; - int grid_loc[3], sample_id, sample_offset, stride; - float pos[3]; - const bool is_last_bounce_sample = ((egrid->offset + lbake->grid_sample) == (lbake->total_irr_samples - 1)); - - /* No bias for rendering the probe. */ - egrid->level_bias = 1.0f; - - /* Use the previous bounce for rendering this bounce. */ - SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); - - /* TODO do this once for the whole bake when we have independent DRWManagers. - * Warning: Some of the things above require this. */ - eevee_lightbake_cache_create(vedata, lbake); - - /* Compute sample position */ - compute_cell_id(egrid, prb, lbake->grid_sample, &sample_id, grid_loc, &stride); - sample_offset = egrid->offset + sample_id; - - grid_loc_to_world_loc(egrid, grid_loc, pos); - - /* Disable specular lighting when rendering probes to avoid feedback loops (looks bad). */ - common_data->spec_toggle = false; - common_data->prb_num_planar = 0; - common_data->prb_num_render_cube = 0; - common_data->ray_type = EEVEE_RAY_DIFFUSE; - common_data->ray_depth = lbake->bounce_curr + 1; - if (lbake->bounce_curr == 0) { - common_data->prb_num_render_grid = 0; - } - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - - EEVEE_lightbake_render_scene(sldata, vedata, lbake->rt_fb, pos, prb->clipsta, prb->clipend); - - /* Restore before filtering. */ - SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); - - EEVEE_lightbake_filter_diffuse(sldata, vedata, lbake->rt_color, lbake->store_fb, sample_offset, prb->intensity); - - if (lbake->bounce_curr == 0) { - /* We only need to filter the visibility for the first bounce. */ - EEVEE_lightbake_filter_visibility( - sldata, vedata, lbake->rt_depth, lbake->store_fb, sample_offset, - prb->clipsta, prb->clipend, egrid->visibility_range, - prb->vis_blur, lbake->vis_res); - } - - /* Update level for progressive update. */ - if (is_last_bounce_sample) { - egrid->level_bias = 1.0f; - } - else if (lbake->bounce_curr == 0) { - egrid->level_bias = (float)(stride << 1); - } - - /* Only run this for the last sample of a bounce. */ - if (is_last_bounce_sample) { - eevee_lightbake_copy_irradiance(lbake, lcache); - } - - /* If it is the last sample grid sample (and last bounce). */ - if ((lbake->bounce_curr == lbake->bounce_len - 1) && - (lbake->grid_curr == lbake->grid_len - 1) && - (lbake->grid_sample == lbake->grid_sample_len - 1)) - { - lcache->flag &= ~LIGHTCACHE_UPDATE_GRID; - } + EEVEE_Data *vedata = (EEVEE_Data *)ved; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; + EEVEE_LightGrid *egrid = lbake->grid; + LightProbe *prb = *lbake->probe; + Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); + LightCache *lcache = scene_eval->eevee.light_cache; + int grid_loc[3], sample_id, sample_offset, stride; + float pos[3]; + const bool is_last_bounce_sample = ((egrid->offset + lbake->grid_sample) == + (lbake->total_irr_samples - 1)); + + /* No bias for rendering the probe. */ + egrid->level_bias = 1.0f; + + /* Use the previous bounce for rendering this bounce. */ + SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); + + /* TODO do this once for the whole bake when we have independent DRWManagers. + * Warning: Some of the things above require this. */ + eevee_lightbake_cache_create(vedata, lbake); + + /* Compute sample position */ + compute_cell_id(egrid, prb, lbake->grid_sample, &sample_id, grid_loc, &stride); + sample_offset = egrid->offset + sample_id; + + grid_loc_to_world_loc(egrid, grid_loc, pos); + + /* Disable specular lighting when rendering probes to avoid feedback loops (looks bad). */ + common_data->spec_toggle = false; + common_data->prb_num_planar = 0; + common_data->prb_num_render_cube = 0; + common_data->ray_type = EEVEE_RAY_DIFFUSE; + common_data->ray_depth = lbake->bounce_curr + 1; + if (lbake->bounce_curr == 0) { + common_data->prb_num_render_grid = 0; + } + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + + EEVEE_lightbake_render_scene(sldata, vedata, lbake->rt_fb, pos, prb->clipsta, prb->clipend); + + /* Restore before filtering. */ + SWAP(GPUTexture *, lbake->grid_prev, lcache->grid_tx.tex); + + EEVEE_lightbake_filter_diffuse( + sldata, vedata, lbake->rt_color, lbake->store_fb, sample_offset, prb->intensity); + + if (lbake->bounce_curr == 0) { + /* We only need to filter the visibility for the first bounce. */ + EEVEE_lightbake_filter_visibility(sldata, + vedata, + lbake->rt_depth, + lbake->store_fb, + sample_offset, + prb->clipsta, + prb->clipend, + egrid->visibility_range, + prb->vis_blur, + lbake->vis_res); + } + + /* Update level for progressive update. */ + if (is_last_bounce_sample) { + egrid->level_bias = 1.0f; + } + else if (lbake->bounce_curr == 0) { + egrid->level_bias = (float)(stride << 1); + } + + /* Only run this for the last sample of a bounce. */ + if (is_last_bounce_sample) { + eevee_lightbake_copy_irradiance(lbake, lcache); + } + + /* If it is the last sample grid sample (and last bounce). */ + if ((lbake->bounce_curr == lbake->bounce_len - 1) && (lbake->grid_curr == lbake->grid_len - 1) && + (lbake->grid_sample == lbake->grid_sample_len - 1)) { + lcache->flag &= ~LIGHTCACHE_UPDATE_GRID; + } } static void eevee_lightbake_render_probe_sample(void *ved, void *user_data) { - EEVEE_Data *vedata = (EEVEE_Data *)ved; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; - Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); - LightCache *lcache = scene_eval->eevee.light_cache; - EEVEE_LightProbe *eprobe = lbake->cube; - LightProbe *prb = *lbake->probe; - float clamp = scene_eval->eevee.gi_glossy_clamp; - float filter_quality = scene_eval->eevee.gi_filter_quality; - - /* TODO do this once for the whole bake when we have independent DRWManagers. */ - eevee_lightbake_cache_create(vedata, lbake); - - /* Disable specular lighting when rendering probes to avoid feedback loops (looks bad). */ - common_data->spec_toggle = false; - common_data->prb_num_planar = 0; - common_data->prb_num_render_cube = 0; - common_data->ray_type = EEVEE_RAY_GLOSSY; - common_data->ray_depth = 1; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - - EEVEE_lightbake_render_scene(sldata, vedata, lbake->rt_fb, eprobe->position, prb->clipsta, prb->clipend); - EEVEE_lightbake_filter_glossy( - sldata, vedata, lbake->rt_color, lbake->store_fb, lbake->cube_offset, prb->intensity, - lcache->mips_len, filter_quality, clamp); - - lcache->cube_len += 1; - - /* If it's the last probe. */ - if (lbake->cube_offset == lbake->cube_len - 1) { - lcache->flag &= ~LIGHTCACHE_UPDATE_CUBE; - } + EEVEE_Data *vedata = (EEVEE_Data *)ved; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_LightBake *lbake = (EEVEE_LightBake *)user_data; + Scene *scene_eval = DEG_get_evaluated_scene(lbake->depsgraph); + LightCache *lcache = scene_eval->eevee.light_cache; + EEVEE_LightProbe *eprobe = lbake->cube; + LightProbe *prb = *lbake->probe; + float clamp = scene_eval->eevee.gi_glossy_clamp; + float filter_quality = scene_eval->eevee.gi_filter_quality; + + /* TODO do this once for the whole bake when we have independent DRWManagers. */ + eevee_lightbake_cache_create(vedata, lbake); + + /* Disable specular lighting when rendering probes to avoid feedback loops (looks bad). */ + common_data->spec_toggle = false; + common_data->prb_num_planar = 0; + common_data->prb_num_render_cube = 0; + common_data->ray_type = EEVEE_RAY_GLOSSY; + common_data->ray_depth = 1; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + + EEVEE_lightbake_render_scene( + sldata, vedata, lbake->rt_fb, eprobe->position, prb->clipsta, prb->clipend); + EEVEE_lightbake_filter_glossy(sldata, + vedata, + lbake->rt_color, + lbake->store_fb, + lbake->cube_offset, + prb->intensity, + lcache->mips_len, + filter_quality, + clamp); + + lcache->cube_len += 1; + + /* If it's the last probe. */ + if (lbake->cube_offset == lbake->cube_len - 1) { + lcache->flag &= ~LIGHTCACHE_UPDATE_CUBE; + } } static float eevee_lightbake_grid_influence_volume(EEVEE_LightGrid *grid) { - return mat4_to_scale(grid->mat); + return mat4_to_scale(grid->mat); } static float eevee_lightbake_cube_influence_volume(EEVEE_LightProbe *eprb) { - return mat4_to_scale(eprb->attenuationmat); + return mat4_to_scale(eprb->attenuationmat); } static bool eevee_lightbake_grid_comp(EEVEE_LightGrid *grid_a, EEVEE_LightGrid *grid_b) { - float vol_a = eevee_lightbake_grid_influence_volume(grid_a); - float vol_b = eevee_lightbake_grid_influence_volume(grid_b); - return (vol_a < vol_b); + float vol_a = eevee_lightbake_grid_influence_volume(grid_a); + float vol_b = eevee_lightbake_grid_influence_volume(grid_b); + return (vol_a < vol_b); } static bool eevee_lightbake_cube_comp(EEVEE_LightProbe *prb_a, EEVEE_LightProbe *prb_b) { - float vol_a = eevee_lightbake_cube_influence_volume(prb_a); - float vol_b = eevee_lightbake_cube_influence_volume(prb_b); - return (vol_a < vol_b); + float vol_a = eevee_lightbake_cube_influence_volume(prb_a); + float vol_b = eevee_lightbake_cube_influence_volume(prb_b); + return (vol_a < vol_b); } #define SORT_PROBE(elems_type, prbs, elems, elems_len, comp_fn) \ -{ \ - bool sorted = false; \ - while (!sorted) { \ - sorted = true; \ - for (int i = 0; i < (elems_len) - 1; i++) { \ - if ((comp_fn)((elems) + i, (elems) + i + 1)) { \ - SWAP(elems_type, (elems)[i], (elems)[i + 1]); \ - SWAP(LightProbe *, (prbs)[i], (prbs)[i + 1]); \ - sorted = false; \ - } \ - } \ - } \ -} ((void)0) + { \ + bool sorted = false; \ + while (!sorted) { \ + sorted = true; \ + for (int i = 0; i < (elems_len)-1; i++) { \ + if ((comp_fn)((elems) + i, (elems) + i + 1)) { \ + SWAP(elems_type, (elems)[i], (elems)[i + 1]); \ + SWAP(LightProbe *, (prbs)[i], (prbs)[i + 1]); \ + sorted = false; \ + } \ + } \ + } \ + } \ + ((void)0) static void eevee_lightbake_gather_probes(EEVEE_LightBake *lbake) { - Depsgraph *depsgraph = lbake->depsgraph; - Scene *scene_eval = DEG_get_evaluated_scene(depsgraph); - LightCache *lcache = scene_eval->eevee.light_cache; - - /* At least one for the world */ - int grid_len = 1; - int cube_len = 1; - int total_irr_samples = 1; - - /* Convert all lightprobes to tight UBO data from all lightprobes in the scene. - * This allows a large number of probe to be precomputed (even dupli ones). */ - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN(depsgraph, ob) - { - const int ob_visibility = BKE_object_visibility(ob, DAG_EVAL_RENDER); - if ((ob_visibility & OB_VISIBLE_SELF) == 0) { - continue; - } - - if (ob->type == OB_LIGHTPROBE) { - LightProbe *prb = (LightProbe *)ob->data; - - if (prb->type == LIGHTPROBE_TYPE_GRID) { - lbake->grid_prb[grid_len] = prb; - EEVEE_LightGrid *egrid = &lcache->grid_data[grid_len++]; - EEVEE_lightprobes_grid_data_from_object(ob, egrid, &total_irr_samples); - } - else if (prb->type == LIGHTPROBE_TYPE_CUBE) { - lbake->cube_prb[cube_len] = prb; - EEVEE_LightProbe *eprobe = &lcache->cube_data[cube_len++]; - EEVEE_lightprobes_cube_data_from_object(ob, eprobe); - } - } - } - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; - - SORT_PROBE(EEVEE_LightGrid, lbake->grid_prb + 1, lcache->grid_data + 1, lbake->grid_len - 1, eevee_lightbake_grid_comp); - SORT_PROBE(EEVEE_LightProbe, lbake->cube_prb + 1, lcache->cube_data + 1, lbake->cube_len - 1, eevee_lightbake_cube_comp); - - lbake->total = lbake->total_irr_samples * lbake->bounce_len + lbake->cube_len; - lbake->done = 0; + Depsgraph *depsgraph = lbake->depsgraph; + Scene *scene_eval = DEG_get_evaluated_scene(depsgraph); + LightCache *lcache = scene_eval->eevee.light_cache; + + /* At least one for the world */ + int grid_len = 1; + int cube_len = 1; + int total_irr_samples = 1; + + /* Convert all lightprobes to tight UBO data from all lightprobes in the scene. + * This allows a large number of probe to be precomputed (even dupli ones). */ + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN (depsgraph, ob) { + const int ob_visibility = BKE_object_visibility(ob, DAG_EVAL_RENDER); + if ((ob_visibility & OB_VISIBLE_SELF) == 0) { + continue; + } + + if (ob->type == OB_LIGHTPROBE) { + LightProbe *prb = (LightProbe *)ob->data; + + if (prb->type == LIGHTPROBE_TYPE_GRID) { + lbake->grid_prb[grid_len] = prb; + EEVEE_LightGrid *egrid = &lcache->grid_data[grid_len++]; + EEVEE_lightprobes_grid_data_from_object(ob, egrid, &total_irr_samples); + } + else if (prb->type == LIGHTPROBE_TYPE_CUBE) { + lbake->cube_prb[cube_len] = prb; + EEVEE_LightProbe *eprobe = &lcache->cube_data[cube_len++]; + EEVEE_lightprobes_cube_data_from_object(ob, eprobe); + } + } + } + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; + + SORT_PROBE(EEVEE_LightGrid, + lbake->grid_prb + 1, + lcache->grid_data + 1, + lbake->grid_len - 1, + eevee_lightbake_grid_comp); + SORT_PROBE(EEVEE_LightProbe, + lbake->cube_prb + 1, + lcache->cube_data + 1, + lbake->cube_len - 1, + eevee_lightbake_cube_comp); + + lbake->total = lbake->total_irr_samples * lbake->bounce_len + lbake->cube_len; + lbake->done = 0; } void EEVEE_lightbake_update(void *custom_data) { - EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; - Scene *scene_orig = lbake->scene; + EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; + Scene *scene_orig = lbake->scene; - /* If a new lightcache was created, free the old one and reference the new. */ - if (lbake->lcache && scene_orig->eevee.light_cache != lbake->lcache) { - if (scene_orig->eevee.light_cache != NULL) { - EEVEE_lightcache_free(scene_orig->eevee.light_cache); - } - scene_orig->eevee.light_cache = lbake->lcache; - lbake->own_light_cache = false; - } + /* If a new lightcache was created, free the old one and reference the new. */ + if (lbake->lcache && scene_orig->eevee.light_cache != lbake->lcache) { + if (scene_orig->eevee.light_cache != NULL) { + EEVEE_lightcache_free(scene_orig->eevee.light_cache); + } + scene_orig->eevee.light_cache = lbake->lcache; + lbake->own_light_cache = false; + } - EEVEE_lightcache_info_update(&lbake->scene->eevee); + EEVEE_lightcache_info_update(&lbake->scene->eevee); - DEG_id_tag_update(&scene_orig->id, ID_RECALC_COPY_ON_WRITE); + DEG_id_tag_update(&scene_orig->id, ID_RECALC_COPY_ON_WRITE); } -static bool lightbake_do_sample(EEVEE_LightBake *lbake, void (*render_callback)(void *ved, void *user_data)) +static bool lightbake_do_sample(EEVEE_LightBake *lbake, + void (*render_callback)(void *ved, void *user_data)) { - if (G.is_break == true || *lbake->stop) { - return false; - } + if (G.is_break == true || *lbake->stop) { + return false; + } - Depsgraph *depsgraph = lbake->depsgraph; + Depsgraph *depsgraph = lbake->depsgraph; - /* TODO: make DRW manager instanciable (and only lock on drawing) */ - eevee_lightbake_context_enable(lbake); - DRW_custom_pipeline(&draw_engine_eevee_type, depsgraph, render_callback, lbake); - lbake->done += 1; - *lbake->progress = lbake->done / (float)lbake->total; - *lbake->do_update = 1; - eevee_lightbake_context_disable(lbake); + /* TODO: make DRW manager instanciable (and only lock on drawing) */ + eevee_lightbake_context_enable(lbake); + DRW_custom_pipeline(&draw_engine_eevee_type, depsgraph, render_callback, lbake); + lbake->done += 1; + *lbake->progress = lbake->done / (float)lbake->total; + *lbake->do_update = 1; + eevee_lightbake_context_disable(lbake); - return true; + return true; } void EEVEE_lightbake_job(void *custom_data, short *stop, short *do_update, float *progress) { - EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; - Depsgraph *depsgraph = lbake->depsgraph; - - DEG_graph_relations_update(depsgraph, lbake->bmain, lbake->scene, lbake->view_layer_input); - DEG_evaluate_on_framechange(lbake->bmain, depsgraph, lbake->frame); - - lbake->view_layer = DEG_get_evaluated_view_layer(depsgraph); - lbake->stop = stop; - lbake->do_update = do_update; - lbake->progress = progress; - - /* Count lightprobes */ - eevee_lightbake_count_probes(lbake); - - /* We need to create the FBOs in the right context. - * We cannot do it in the main thread. */ - eevee_lightbake_context_enable(lbake); - eevee_lightbake_create_resources(lbake); - eevee_lightbake_create_render_target(lbake, lbake->rt_res); - eevee_lightbake_context_disable(lbake); - - /* Gather all probes data */ - eevee_lightbake_gather_probes(lbake); - - LightCache *lcache = lbake->lcache; - - /* HACK: Sleep to delay the first rendering operation - * that causes a small freeze (caused by VBO generation) - * because this step is locking at this moment. */ - /* TODO remove this. */ - if (lbake->delay) { - PIL_sleep_ms(lbake->delay); - } - - /* Render world irradiance and reflection first */ - if (lcache->flag & LIGHTCACHE_UPDATE_WORLD) { - lbake->probe = NULL; - lightbake_do_sample(lbake, eevee_lightbake_render_world_sample); - } - - /* Render irradiance grids */ - if (lcache->flag & LIGHTCACHE_UPDATE_GRID) { - for (lbake->bounce_curr = 0; lbake->bounce_curr < lbake->bounce_len; ++lbake->bounce_curr) { - /* Bypass world, start at 1. */ - lbake->probe = lbake->grid_prb + 1; - lbake->grid = lcache->grid_data + 1; - for (lbake->grid_curr = 1; - lbake->grid_curr < lbake->grid_len; - ++lbake->grid_curr, ++lbake->probe, ++lbake->grid) - { - LightProbe *prb = *lbake->probe; - lbake->grid_sample_len = prb->grid_resolution_x * - prb->grid_resolution_y * - prb->grid_resolution_z; - for (lbake->grid_sample = 0; - lbake->grid_sample < lbake->grid_sample_len; - ++lbake->grid_sample) - { - lightbake_do_sample(lbake, eevee_lightbake_render_grid_sample); - } - } - } - } - - /* Render reflections */ - if (lcache->flag & LIGHTCACHE_UPDATE_CUBE) { - /* Bypass world, start at 1. */ - lbake->probe = lbake->cube_prb + 1; - lbake->cube = lcache->cube_data + 1; - for (lbake->cube_offset = 1; - lbake->cube_offset < lbake->cube_len; - ++lbake->cube_offset, ++lbake->probe, ++lbake->cube) - { - lightbake_do_sample(lbake, eevee_lightbake_render_probe_sample); - } - } - - /* Read the resulting lighting data to save it to file/disk. */ - eevee_lightbake_context_enable(lbake); - eevee_lightbake_readback_irradiance(lcache); - eevee_lightbake_readback_reflections(lcache); - eevee_lightbake_context_disable(lbake); - - lcache->flag |= LIGHTCACHE_BAKED; - lcache->flag &= ~LIGHTCACHE_BAKING; - - /* Assume that if lbake->gl_context is NULL - * we are not running in this in a job, so update - * the scene lightcache pointer before deleting it. */ - if (lbake->gl_context == NULL) { - BLI_assert(BLI_thread_is_main()); - EEVEE_lightbake_update(lbake); - } - - eevee_lightbake_delete_resources(lbake); + EEVEE_LightBake *lbake = (EEVEE_LightBake *)custom_data; + Depsgraph *depsgraph = lbake->depsgraph; + + DEG_graph_relations_update(depsgraph, lbake->bmain, lbake->scene, lbake->view_layer_input); + DEG_evaluate_on_framechange(lbake->bmain, depsgraph, lbake->frame); + + lbake->view_layer = DEG_get_evaluated_view_layer(depsgraph); + lbake->stop = stop; + lbake->do_update = do_update; + lbake->progress = progress; + + /* Count lightprobes */ + eevee_lightbake_count_probes(lbake); + + /* We need to create the FBOs in the right context. + * We cannot do it in the main thread. */ + eevee_lightbake_context_enable(lbake); + eevee_lightbake_create_resources(lbake); + eevee_lightbake_create_render_target(lbake, lbake->rt_res); + eevee_lightbake_context_disable(lbake); + + /* Gather all probes data */ + eevee_lightbake_gather_probes(lbake); + + LightCache *lcache = lbake->lcache; + + /* HACK: Sleep to delay the first rendering operation + * that causes a small freeze (caused by VBO generation) + * because this step is locking at this moment. */ + /* TODO remove this. */ + if (lbake->delay) { + PIL_sleep_ms(lbake->delay); + } + + /* Render world irradiance and reflection first */ + if (lcache->flag & LIGHTCACHE_UPDATE_WORLD) { + lbake->probe = NULL; + lightbake_do_sample(lbake, eevee_lightbake_render_world_sample); + } + + /* Render irradiance grids */ + if (lcache->flag & LIGHTCACHE_UPDATE_GRID) { + for (lbake->bounce_curr = 0; lbake->bounce_curr < lbake->bounce_len; ++lbake->bounce_curr) { + /* Bypass world, start at 1. */ + lbake->probe = lbake->grid_prb + 1; + lbake->grid = lcache->grid_data + 1; + for (lbake->grid_curr = 1; lbake->grid_curr < lbake->grid_len; + ++lbake->grid_curr, ++lbake->probe, ++lbake->grid) { + LightProbe *prb = *lbake->probe; + lbake->grid_sample_len = prb->grid_resolution_x * prb->grid_resolution_y * + prb->grid_resolution_z; + for (lbake->grid_sample = 0; lbake->grid_sample < lbake->grid_sample_len; + ++lbake->grid_sample) { + lightbake_do_sample(lbake, eevee_lightbake_render_grid_sample); + } + } + } + } + + /* Render reflections */ + if (lcache->flag & LIGHTCACHE_UPDATE_CUBE) { + /* Bypass world, start at 1. */ + lbake->probe = lbake->cube_prb + 1; + lbake->cube = lcache->cube_data + 1; + for (lbake->cube_offset = 1; lbake->cube_offset < lbake->cube_len; + ++lbake->cube_offset, ++lbake->probe, ++lbake->cube) { + lightbake_do_sample(lbake, eevee_lightbake_render_probe_sample); + } + } + + /* Read the resulting lighting data to save it to file/disk. */ + eevee_lightbake_context_enable(lbake); + eevee_lightbake_readback_irradiance(lcache); + eevee_lightbake_readback_reflections(lcache); + eevee_lightbake_context_disable(lbake); + + lcache->flag |= LIGHTCACHE_BAKED; + lcache->flag &= ~LIGHTCACHE_BAKING; + + /* Assume that if lbake->gl_context is NULL + * we are not running in this in a job, so update + * the scene lightcache pointer before deleting it. */ + if (lbake->gl_context == NULL) { + BLI_assert(BLI_thread_is_main()); + EEVEE_lightbake_update(lbake); + } + + eevee_lightbake_delete_resources(lbake); } /* This is to update the world irradiance and reflection contribution from * within the viewport drawing (does not have the overhead of a full light cache rebuild.) */ -void EEVEE_lightbake_update_world_quick(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, const Scene *scene) +void EEVEE_lightbake_update_world_quick(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + const Scene *scene) { - LightCache *lcache = vedata->stl->g_data->light_cache; - float clamp = scene->eevee.gi_glossy_clamp; - float filter_quality = scene->eevee.gi_filter_quality; - - EEVEE_LightBake lbake = { - .resource_only = true, - }; - - /* Create resources. */ - eevee_lightbake_create_render_target(&lbake, scene->eevee.gi_cubemap_resolution); - - EEVEE_lightbake_cache_init(sldata, vedata, lbake.rt_color, lbake.rt_depth); - - sldata->common_data.ray_type = EEVEE_RAY_GLOSSY; - sldata->common_data.ray_depth = 1; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - EEVEE_lightbake_render_world(sldata, vedata, lbake.rt_fb); - EEVEE_lightbake_filter_glossy(sldata, vedata, lbake.rt_color, lbake.store_fb, 0, 1.0f, lcache->mips_len, - filter_quality, clamp); - - sldata->common_data.ray_type = EEVEE_RAY_DIFFUSE; - sldata->common_data.ray_depth = 1; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - EEVEE_lightbake_render_world(sldata, vedata, lbake.rt_fb); - EEVEE_lightbake_filter_diffuse(sldata, vedata, lbake.rt_color, lbake.store_fb, 0, 1.0f); - - /* Don't hide grids if they are already rendered. */ - lcache->grid_len = max_ii(1, lcache->grid_len); - lcache->cube_len = 1; - - lcache->flag |= LIGHTCACHE_CUBE_READY | LIGHTCACHE_GRID_READY; - lcache->flag &= ~LIGHTCACHE_UPDATE_WORLD; - - eevee_lightbake_delete_resources(&lbake); + LightCache *lcache = vedata->stl->g_data->light_cache; + float clamp = scene->eevee.gi_glossy_clamp; + float filter_quality = scene->eevee.gi_filter_quality; + + EEVEE_LightBake lbake = { + .resource_only = true, + }; + + /* Create resources. */ + eevee_lightbake_create_render_target(&lbake, scene->eevee.gi_cubemap_resolution); + + EEVEE_lightbake_cache_init(sldata, vedata, lbake.rt_color, lbake.rt_depth); + + sldata->common_data.ray_type = EEVEE_RAY_GLOSSY; + sldata->common_data.ray_depth = 1; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + EEVEE_lightbake_render_world(sldata, vedata, lbake.rt_fb); + EEVEE_lightbake_filter_glossy(sldata, + vedata, + lbake.rt_color, + lbake.store_fb, + 0, + 1.0f, + lcache->mips_len, + filter_quality, + clamp); + + sldata->common_data.ray_type = EEVEE_RAY_DIFFUSE; + sldata->common_data.ray_depth = 1; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + EEVEE_lightbake_render_world(sldata, vedata, lbake.rt_fb); + EEVEE_lightbake_filter_diffuse(sldata, vedata, lbake.rt_color, lbake.store_fb, 0, 1.0f); + + /* Don't hide grids if they are already rendered. */ + lcache->grid_len = max_ii(1, lcache->grid_len); + lcache->cube_len = 1; + + lcache->flag |= LIGHTCACHE_CUBE_READY | LIGHTCACHE_GRID_READY; + lcache->flag &= ~LIGHTCACHE_UPDATE_WORLD; + + eevee_lightbake_delete_resources(&lbake); } /** \} */ diff --git a/source/blender/draw/engines/eevee/eevee_lightcache.h b/source/blender/draw/engines/eevee/eevee_lightcache.h index 03199632031..5aea712a910 100644 --- a/source/blender/draw/engines/eevee/eevee_lightcache.h +++ b/source/blender/draw/engines/eevee/eevee_lightcache.h @@ -23,7 +23,7 @@ #ifndef __EEVEE_LIGHTCACHE_H__ #define __EEVEE_LIGHTCACHE_H__ -#include "BLI_sys_types.h" /* for bool */ +#include "BLI_sys_types.h" /* for bool */ struct EEVEE_Data; struct EEVEE_LightBake; @@ -34,22 +34,32 @@ struct SceneEEVEE; struct ViewLayer; /* Light Bake */ -struct wmJob *EEVEE_lightbake_job_create( - struct wmWindowManager *wm, struct wmWindow *win, struct Main *bmain, - struct ViewLayer *view_layer, struct Scene *scene, int delay, int frame); -void *EEVEE_lightbake_job_data_alloc( - struct Main *bmain, struct ViewLayer *viewlayer, struct Scene *scene, bool run_as_job, int frame); +struct wmJob *EEVEE_lightbake_job_create(struct wmWindowManager *wm, + struct wmWindow *win, + struct Main *bmain, + struct ViewLayer *view_layer, + struct Scene *scene, + int delay, + int frame); +void *EEVEE_lightbake_job_data_alloc(struct Main *bmain, + struct ViewLayer *viewlayer, + struct Scene *scene, + bool run_as_job, + int frame); void EEVEE_lightbake_job_data_free(void *custom_data); void EEVEE_lightbake_update(void *custom_data); void EEVEE_lightbake_job(void *custom_data, short *stop, short *do_update, float *progress); -void EEVEE_lightbake_update_world_quick(struct EEVEE_ViewLayerData *sldata, struct EEVEE_Data *vedata, const Scene *scene); +void EEVEE_lightbake_update_world_quick(struct EEVEE_ViewLayerData *sldata, + struct EEVEE_Data *vedata, + const Scene *scene); /* Light Cache */ -struct LightCache *EEVEE_lightcache_create( - const int grid_len, const int cube_len, - const int cube_size, const int vis_size, - const int irr_size[3]); +struct LightCache *EEVEE_lightcache_create(const int grid_len, + const int cube_len, + const int cube_size, + const int vis_size, + const int irr_size[3]); void EEVEE_lightcache_free(struct LightCache *lcache); void EEVEE_lightcache_load(struct LightCache *lcache); void EEVEE_lightcache_info_update(struct SceneEEVEE *eevee); diff --git a/source/blender/draw/engines/eevee/eevee_lightprobes.c b/source/blender/draw/engines/eevee/eevee_lightprobes.c index 5d4601df7cf..550821ee92a 100644 --- a/source/blender/draw/engines/eevee/eevee_lightprobes.c +++ b/source/blender/draw/engines/eevee/eevee_lightprobes.c @@ -43,703 +43,734 @@ #include "eevee_lightcache.h" #include "eevee_private.h" - #include "WM_api.h" #include "WM_types.h" static struct { - struct GPUTexture *hammersley; - struct GPUTexture *planar_pool_placeholder; - struct GPUTexture *depth_placeholder; - struct GPUTexture *depth_array_placeholder; - struct GPUTexture *cube_face_minmaxz; - - struct GPUVertFormat *format_probe_display_cube; - struct GPUVertFormat *format_probe_display_planar; + struct GPUTexture *hammersley; + struct GPUTexture *planar_pool_placeholder; + struct GPUTexture *depth_placeholder; + struct GPUTexture *depth_array_placeholder; + struct GPUTexture *cube_face_minmaxz; + + struct GPUVertFormat *format_probe_display_cube; + struct GPUVertFormat *format_probe_display_planar; } e_data = {NULL}; /* Engine data */ - /* *********** FUNCTIONS *********** */ /* TODO find a better way than this. This does not support dupli objects if * the original object is hidden. */ bool EEVEE_lightprobes_obj_visibility_cb(bool vis_in, void *user_data) { - EEVEE_ObjectEngineData *oed = (EEVEE_ObjectEngineData *)user_data; + EEVEE_ObjectEngineData *oed = (EEVEE_ObjectEngineData *)user_data; - /* test disabled if group is NULL */ - if (oed->test_data->collection == NULL) { - return vis_in; - } + /* test disabled if group is NULL */ + if (oed->test_data->collection == NULL) { + return vis_in; + } - if (oed->test_data->cached == false) { - oed->ob_vis_dirty = true; - } + if (oed->test_data->cached == false) { + oed->ob_vis_dirty = true; + } - /* early out, don't need to compute ob_vis yet. */ - if (vis_in == false) { - return vis_in; - } + /* early out, don't need to compute ob_vis yet. */ + if (vis_in == false) { + return vis_in; + } - if (oed->ob_vis_dirty) { - oed->ob_vis_dirty = false; - oed->ob_vis = BKE_collection_has_object_recursive(oed->test_data->collection, oed->ob); - oed->ob_vis = (oed->test_data->invert) ? !oed->ob_vis : oed->ob_vis; - } + if (oed->ob_vis_dirty) { + oed->ob_vis_dirty = false; + oed->ob_vis = BKE_collection_has_object_recursive(oed->test_data->collection, oed->ob); + oed->ob_vis = (oed->test_data->invert) ? !oed->ob_vis : oed->ob_vis; + } - return vis_in && oed->ob_vis; + return vis_in && oed->ob_vis; } static struct GPUTexture *create_hammersley_sample_texture(int samples) { - struct GPUTexture *tex; - float (*texels)[2] = MEM_mallocN(sizeof(float[2]) * samples, "hammersley_tex"); - int i; - - for (i = 0; i < samples; i++) { - double dphi; - BLI_hammersley_1d(i, &dphi); - float phi = (float)dphi * 2.0f * M_PI; - texels[i][0] = cosf(phi); - texels[i][1] = sinf(phi); - } - - tex = DRW_texture_create_1d(samples, GPU_RG16F, DRW_TEX_WRAP, (float *)texels); - MEM_freeN(texels); - return tex; + struct GPUTexture *tex; + float(*texels)[2] = MEM_mallocN(sizeof(float[2]) * samples, "hammersley_tex"); + int i; + + for (i = 0; i < samples; i++) { + double dphi; + BLI_hammersley_1d(i, &dphi); + float phi = (float)dphi * 2.0f * M_PI; + texels[i][0] = cosf(phi); + texels[i][1] = sinf(phi); + } + + tex = DRW_texture_create_1d(samples, GPU_RG16F, DRW_TEX_WRAP, (float *)texels); + MEM_freeN(texels); + return tex; } static void planar_pool_ensure_alloc(EEVEE_Data *vedata, int num_planar_ref) { - EEVEE_TextureList *txl = vedata->txl; - - /* XXX TODO OPTIMISATION : This is a complete waist of texture memory. - * Instead of allocating each planar probe for each viewport, - * only alloc them once using the biggest viewport resolution. */ - const float *viewport_size = DRW_viewport_size_get(); - - /* TODO get screen percentage from layer setting */ - // const DRWContextState *draw_ctx = DRW_context_state_get(); - // ViewLayer *view_layer = draw_ctx->view_layer; - float screen_percentage = 1.0f; - - int width = max_ii(1, (int)(viewport_size[0] * screen_percentage)); - int height = max_ii(1, (int)(viewport_size[1] * screen_percentage)); - - /* Fix case were the pool was allocated width the dummy size (1,1,1). */ - if (txl->planar_pool && (num_planar_ref > 0) && - (GPU_texture_width(txl->planar_pool) != width || - GPU_texture_height(txl->planar_pool) != height)) - { - DRW_TEXTURE_FREE_SAFE(txl->planar_pool); - DRW_TEXTURE_FREE_SAFE(txl->planar_depth); - } - - /* We need an Array texture so allocate it ourself */ - if (!txl->planar_pool) { - if (num_planar_ref > 0) { - txl->planar_pool = DRW_texture_create_2d_array(width, height, max_ii(1, num_planar_ref), - GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); - txl->planar_depth = DRW_texture_create_2d_array(width, height, max_ii(1, num_planar_ref), - GPU_DEPTH_COMPONENT24, 0, NULL); - } - else if (num_planar_ref == 0) { - /* Makes Opengl Happy : Create a placeholder texture that will never be sampled but still bound to shader. */ - txl->planar_pool = DRW_texture_create_2d_array(1, 1, 1, GPU_RGBA8, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); - txl->planar_depth = DRW_texture_create_2d_array(1, 1, 1, GPU_DEPTH_COMPONENT24, 0, NULL); - } - } + EEVEE_TextureList *txl = vedata->txl; + + /* XXX TODO OPTIMISATION : This is a complete waist of texture memory. + * Instead of allocating each planar probe for each viewport, + * only alloc them once using the biggest viewport resolution. */ + const float *viewport_size = DRW_viewport_size_get(); + + /* TODO get screen percentage from layer setting */ + // const DRWContextState *draw_ctx = DRW_context_state_get(); + // ViewLayer *view_layer = draw_ctx->view_layer; + float screen_percentage = 1.0f; + + int width = max_ii(1, (int)(viewport_size[0] * screen_percentage)); + int height = max_ii(1, (int)(viewport_size[1] * screen_percentage)); + + /* Fix case were the pool was allocated width the dummy size (1,1,1). */ + if (txl->planar_pool && (num_planar_ref > 0) && + (GPU_texture_width(txl->planar_pool) != width || + GPU_texture_height(txl->planar_pool) != height)) { + DRW_TEXTURE_FREE_SAFE(txl->planar_pool); + DRW_TEXTURE_FREE_SAFE(txl->planar_depth); + } + + /* We need an Array texture so allocate it ourself */ + if (!txl->planar_pool) { + if (num_planar_ref > 0) { + txl->planar_pool = DRW_texture_create_2d_array(width, + height, + max_ii(1, num_planar_ref), + GPU_R11F_G11F_B10F, + DRW_TEX_FILTER | DRW_TEX_MIPMAP, + NULL); + txl->planar_depth = DRW_texture_create_2d_array( + width, height, max_ii(1, num_planar_ref), GPU_DEPTH_COMPONENT24, 0, NULL); + } + else if (num_planar_ref == 0) { + /* Makes Opengl Happy : Create a placeholder texture that will never be sampled but still bound to shader. */ + txl->planar_pool = DRW_texture_create_2d_array( + 1, 1, 1, GPU_RGBA8, DRW_TEX_FILTER | DRW_TEX_MIPMAP, NULL); + txl->planar_depth = DRW_texture_create_2d_array(1, 1, 1, GPU_DEPTH_COMPONENT24, 0, NULL); + } + } } void EEVEE_lightprobes_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_StorageList *stl = vedata->stl; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_StorageList *stl = vedata->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - if (!e_data.hammersley) { - EEVEE_shaders_lightprobe_shaders_init(); - e_data.hammersley = create_hammersley_sample_texture(HAMMERSLEY_SIZE); - } + if (!e_data.hammersley) { + EEVEE_shaders_lightprobe_shaders_init(); + e_data.hammersley = create_hammersley_sample_texture(HAMMERSLEY_SIZE); + } - /* Use fallback if we don't have gpu texture allocated an we cannot restore them. */ - bool use_fallback_lightcache = (scene_eval->eevee.light_cache == NULL) || - ((scene_eval->eevee.light_cache->grid_tx.tex == NULL) && - (scene_eval->eevee.light_cache->grid_tx.data == NULL)) || - ((scene_eval->eevee.light_cache->cube_tx.tex == NULL) && - (scene_eval->eevee.light_cache->cube_tx.data == NULL)); + /* Use fallback if we don't have gpu texture allocated an we cannot restore them. */ + bool use_fallback_lightcache = (scene_eval->eevee.light_cache == NULL) || + ((scene_eval->eevee.light_cache->grid_tx.tex == NULL) && + (scene_eval->eevee.light_cache->grid_tx.data == NULL)) || + ((scene_eval->eevee.light_cache->cube_tx.tex == NULL) && + (scene_eval->eevee.light_cache->cube_tx.data == NULL)); - if (use_fallback_lightcache && (sldata->fallback_lightcache == NULL)) { + if (use_fallback_lightcache && (sldata->fallback_lightcache == NULL)) { #if defined(IRRADIANCE_SH_L2) - int grid_res = 4; + int grid_res = 4; #elif defined(IRRADIANCE_CUBEMAP) - int grid_res = 8; + int grid_res = 8; #elif defined(IRRADIANCE_HL2) - int grid_res = 4; + int grid_res = 4; #endif - int cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(scene_eval->eevee.gi_cubemap_resolution); - int vis_res = scene_eval->eevee.gi_visibility_resolution; - sldata->fallback_lightcache = EEVEE_lightcache_create(1, 1, cube_res, vis_res, (int[3]){grid_res, grid_res, 1}); - } - - stl->g_data->light_cache = (use_fallback_lightcache) ? sldata->fallback_lightcache : scene_eval->eevee.light_cache; - - EEVEE_lightcache_load(stl->g_data->light_cache); - - if (!sldata->probes) { - sldata->probes = MEM_callocN(sizeof(EEVEE_LightProbesInfo), "EEVEE_LightProbesInfo"); - sldata->probe_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_LightProbe) * MAX_PROBE, NULL); - sldata->grid_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_LightGrid) * MAX_GRID, NULL); - sldata->planar_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_PlanarReflection) * MAX_PLANAR, NULL); - } - - common_data->prb_num_planar = 0; - common_data->prb_num_render_cube = 1; - common_data->prb_num_render_grid = 1; - - common_data->spec_toggle = true; - common_data->ssr_toggle = true; - common_data->sss_toggle = true; - - /* Placeholder planar pool: used when rendering planar reflections (avoid dependency loop). */ - if (!e_data.planar_pool_placeholder) { - e_data.planar_pool_placeholder = DRW_texture_create_2d_array(1, 1, 1, GPU_RGBA8, DRW_TEX_FILTER, NULL); - } + int cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(scene_eval->eevee.gi_cubemap_resolution); + int vis_res = scene_eval->eevee.gi_visibility_resolution; + sldata->fallback_lightcache = EEVEE_lightcache_create( + 1, 1, cube_res, vis_res, (int[3]){grid_res, grid_res, 1}); + } + + stl->g_data->light_cache = (use_fallback_lightcache) ? sldata->fallback_lightcache : + scene_eval->eevee.light_cache; + + EEVEE_lightcache_load(stl->g_data->light_cache); + + if (!sldata->probes) { + sldata->probes = MEM_callocN(sizeof(EEVEE_LightProbesInfo), "EEVEE_LightProbesInfo"); + sldata->probe_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_LightProbe) * MAX_PROBE, NULL); + sldata->grid_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_LightGrid) * MAX_GRID, NULL); + sldata->planar_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_PlanarReflection) * MAX_PLANAR, + NULL); + } + + common_data->prb_num_planar = 0; + common_data->prb_num_render_cube = 1; + common_data->prb_num_render_grid = 1; + + common_data->spec_toggle = true; + common_data->ssr_toggle = true; + common_data->sss_toggle = true; + + /* Placeholder planar pool: used when rendering planar reflections (avoid dependency loop). */ + if (!e_data.planar_pool_placeholder) { + e_data.planar_pool_placeholder = DRW_texture_create_2d_array( + 1, 1, 1, GPU_RGBA8, DRW_TEX_FILTER, NULL); + } } /* Only init the passes useful for rendering the light cache. */ -void EEVEE_lightbake_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, GPUTexture *rt_color, GPUTexture *rt_depth) +void EEVEE_lightbake_cache_init(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + GPUTexture *rt_color, + GPUTexture *rt_depth) { - EEVEE_PassList *psl = vedata->psl; - LightCache *light_cache = vedata->stl->g_data->light_cache; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - - { - psl->probe_glossy_compute = DRW_pass_create("LightProbe Glossy Compute", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - EEVEE_shaders_probe_filter_glossy_sh_get(), psl->probe_glossy_compute); - - DRW_shgroup_uniform_float(grp, "intensityFac", &pinfo->intensity_fac, 1); - DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); - DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); - DRW_shgroup_uniform_float(grp, "roughnessSquared", &pinfo->roughness, 1); - DRW_shgroup_uniform_float(grp, "lodFactor", &pinfo->lodfactor, 1); - DRW_shgroup_uniform_float(grp, "lodMax", &pinfo->lod_rt_max, 1); - DRW_shgroup_uniform_float(grp, "texelSize", &pinfo->texel_size, 1); - DRW_shgroup_uniform_float(grp, "paddingSize", &pinfo->padding_size, 1); - DRW_shgroup_uniform_float(grp, "fireflyFactor", &pinfo->firefly_fac, 1); - DRW_shgroup_uniform_int(grp, "Layer", &pinfo->layer, 1); - DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); - // DRW_shgroup_uniform_texture(grp, "texJitter", e_data.jitter); - DRW_shgroup_uniform_texture(grp, "probeHdr", rt_color); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - } - - { - psl->probe_diffuse_compute = DRW_pass_create("LightProbe Diffuse Compute", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - EEVEE_shaders_probe_filter_diffuse_sh_get(), psl->probe_diffuse_compute); + EEVEE_PassList *psl = vedata->psl; + LightCache *light_cache = vedata->stl->g_data->light_cache; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + + { + psl->probe_glossy_compute = DRW_pass_create("LightProbe Glossy Compute", + DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_filter_glossy_sh_get(), + psl->probe_glossy_compute); + + DRW_shgroup_uniform_float(grp, "intensityFac", &pinfo->intensity_fac, 1); + DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); + DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); + DRW_shgroup_uniform_float(grp, "roughnessSquared", &pinfo->roughness, 1); + DRW_shgroup_uniform_float(grp, "lodFactor", &pinfo->lodfactor, 1); + DRW_shgroup_uniform_float(grp, "lodMax", &pinfo->lod_rt_max, 1); + DRW_shgroup_uniform_float(grp, "texelSize", &pinfo->texel_size, 1); + DRW_shgroup_uniform_float(grp, "paddingSize", &pinfo->padding_size, 1); + DRW_shgroup_uniform_float(grp, "fireflyFactor", &pinfo->firefly_fac, 1); + DRW_shgroup_uniform_int(grp, "Layer", &pinfo->layer, 1); + DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); + // DRW_shgroup_uniform_texture(grp, "texJitter", e_data.jitter); + DRW_shgroup_uniform_texture(grp, "probeHdr", rt_color); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + } + + { + psl->probe_diffuse_compute = DRW_pass_create("LightProbe Diffuse Compute", + DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_filter_diffuse_sh_get(), + psl->probe_diffuse_compute); #ifdef IRRADIANCE_SH_L2 - DRW_shgroup_uniform_int(grp, "probeSize", &pinfo->shres, 1); + DRW_shgroup_uniform_int(grp, "probeSize", &pinfo->shres, 1); #else - DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); - DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); - DRW_shgroup_uniform_float(grp, "lodFactor", &pinfo->lodfactor, 1); - DRW_shgroup_uniform_float(grp, "lodMax", &pinfo->lod_rt_max, 1); - DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); + DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); + DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); + DRW_shgroup_uniform_float(grp, "lodFactor", &pinfo->lodfactor, 1); + DRW_shgroup_uniform_float(grp, "lodMax", &pinfo->lod_rt_max, 1); + DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); #endif - DRW_shgroup_uniform_float(grp, "intensityFac", &pinfo->intensity_fac, 1); - DRW_shgroup_uniform_texture(grp, "probeHdr", rt_color); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - } - - { - psl->probe_visibility_compute = DRW_pass_create("LightProbe Visibility Compute", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_filter_visibility_sh_get(), psl->probe_visibility_compute); - DRW_shgroup_uniform_int(grp, "outputSize", &pinfo->shres, 1); - DRW_shgroup_uniform_float(grp, "visibilityRange", &pinfo->visibility_range, 1); - DRW_shgroup_uniform_float(grp, "visibilityBlur", &pinfo->visibility_blur, 1); - DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); - DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); - DRW_shgroup_uniform_float(grp, "storedTexelSize", &pinfo->texel_size, 1); - DRW_shgroup_uniform_float(grp, "nearClip", &pinfo->near_clip, 1); - DRW_shgroup_uniform_float(grp, "farClip", &pinfo->far_clip, 1); - DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); - DRW_shgroup_uniform_texture(grp, "probeDepth", rt_depth); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - } - - { - psl->probe_grid_fill = DRW_pass_create("LightProbe Grid Floodfill", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - EEVEE_shaders_probe_grid_fill_sh_get(), psl->probe_grid_fill); - - DRW_shgroup_uniform_texture_ref(grp, "irradianceGrid", &light_cache->grid_tx.tex); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - } + DRW_shgroup_uniform_float(grp, "intensityFac", &pinfo->intensity_fac, 1); + DRW_shgroup_uniform_texture(grp, "probeHdr", rt_color); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + } + + { + psl->probe_visibility_compute = DRW_pass_create("LightProbe Visibility Compute", + DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_filter_visibility_sh_get(), + psl->probe_visibility_compute); + DRW_shgroup_uniform_int(grp, "outputSize", &pinfo->shres, 1); + DRW_shgroup_uniform_float(grp, "visibilityRange", &pinfo->visibility_range, 1); + DRW_shgroup_uniform_float(grp, "visibilityBlur", &pinfo->visibility_blur, 1); + DRW_shgroup_uniform_float(grp, "sampleCount", &pinfo->samples_len, 1); + DRW_shgroup_uniform_float(grp, "invSampleCount", &pinfo->samples_len_inv, 1); + DRW_shgroup_uniform_float(grp, "storedTexelSize", &pinfo->texel_size, 1); + DRW_shgroup_uniform_float(grp, "nearClip", &pinfo->near_clip, 1); + DRW_shgroup_uniform_float(grp, "farClip", &pinfo->far_clip, 1); + DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); + DRW_shgroup_uniform_texture(grp, "probeDepth", rt_depth); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + } + + { + psl->probe_grid_fill = DRW_pass_create("LightProbe Grid Floodfill", DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_grid_fill_sh_get(), + psl->probe_grid_fill); + + DRW_shgroup_uniform_texture_ref(grp, "irradianceGrid", &light_cache->grid_tx.tex); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + } } void EEVEE_lightprobes_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_TextureList *txl = vedata->txl; - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightCache *lcache = stl->g_data->light_cache; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - pinfo->num_planar = 0; - pinfo->vis_data.collection = NULL; - pinfo->do_grid_update = false; - pinfo->do_cube_update = false; - - { - psl->probe_background = DRW_pass_create("World Probe Background Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRWShadingGroup *grp = NULL; - - Scene *scene = draw_ctx->scene; - World *wo = scene->world; - - const float *col = G_draw.block.colorBackground; - - /* LookDev */ - EEVEE_lookdev_cache_init(vedata, &grp, psl->probe_background, 1.0f, wo, pinfo); - /* END */ - if (!grp && wo) { - col = &wo->horr; - - if (wo->use_nodes && wo->nodetree) { - static float error_col[3] = {1.0f, 0.0f, 1.0f}; - struct GPUMaterial *gpumat = EEVEE_material_world_lightprobe_get(scene, wo); - - eGPUMaterialStatus status = GPU_material_status(gpumat); - - switch (status) { - case GPU_MAT_SUCCESS: - grp = DRW_shgroup_material_create(gpumat, psl->probe_background); - DRW_shgroup_uniform_float_copy(grp, "backgroundAlpha", 1.0f); - /* TODO (fclem): remove those (need to clean the GLSL files). */ - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_call_add(grp, geom, NULL); - break; - default: - col = error_col; - break; - } - } - } - - /* Fallback if shader fails or if not using nodetree. */ - if (grp == NULL) { - grp = DRW_shgroup_create(EEVEE_shaders_probe_default_sh_get(), psl->probe_background); - DRW_shgroup_uniform_vec3(grp, "color", col, 1); - DRW_shgroup_uniform_float_copy(grp, "backgroundAlpha", 1.0f); - DRW_shgroup_call_add(grp, geom, NULL); - } - } - - if (DRW_state_draw_support() && !LOOK_DEV_STUDIO_LIGHT_ENABLED(draw_ctx->v3d)) { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; - psl->probe_display = DRW_pass_create("LightProbe Display", state); - - /* Cube Display */ - if (scene_eval->eevee.flag & SCE_EEVEE_SHOW_CUBEMAPS && lcache->cube_len > 1) { - int cube_len = lcache->cube_len - 1; /* don't count the world. */ - DRWShadingGroup *grp = DRW_shgroup_empty_tri_batch_create( - EEVEE_shaders_probe_cube_display_sh_get(), psl->probe_display, cube_len * 2); - - DRW_shgroup_uniform_texture_ref(grp, "probeCubes", &lcache->cube_tx.tex); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); - DRW_shgroup_uniform_float_copy(grp, "sphere_size", scene_eval->eevee.gi_cubemap_draw_size * 0.5f); - /* TODO (fclem) get rid of those UBO. */ - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - } - - /* Grid Display */ - if (scene_eval->eevee.flag & SCE_EEVEE_SHOW_IRRADIANCE) { - EEVEE_LightGrid *egrid = lcache->grid_data + 1; - for (int p = 1; p < lcache->grid_len; ++p, egrid++) { - DRWShadingGroup *shgrp = DRW_shgroup_create( - EEVEE_shaders_probe_grid_display_sh_get(), psl->probe_display); - - DRW_shgroup_uniform_int(shgrp, "offset", &egrid->offset, 1); - DRW_shgroup_uniform_ivec3(shgrp, "grid_resolution", egrid->resolution, 1); - DRW_shgroup_uniform_vec3(shgrp, "corner", egrid->corner, 1); - DRW_shgroup_uniform_vec3(shgrp, "increment_x", egrid->increment_x, 1); - DRW_shgroup_uniform_vec3(shgrp, "increment_y", egrid->increment_y, 1); - DRW_shgroup_uniform_vec3(shgrp, "increment_z", egrid->increment_z, 1); - DRW_shgroup_uniform_vec3(shgrp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); - DRW_shgroup_uniform_texture_ref(shgrp, "irradianceGrid", &lcache->grid_tx.tex); - DRW_shgroup_uniform_float_copy(shgrp, "sphere_size", scene_eval->eevee.gi_irradiance_draw_size * 0.5f); - /* TODO (fclem) get rid of those UBO. */ - DRW_shgroup_uniform_block(shgrp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(shgrp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(shgrp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(shgrp, "common_block", sldata->common_ubo); - int tri_count = egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2] * 2; - DRW_shgroup_call_procedural_triangles_add(shgrp, tri_count, NULL); - } - } - - /* Planar Display */ - DRW_shgroup_instance_format(e_data.format_probe_display_planar, { - {"probe_id", DRW_ATTR_INT, 1}, - {"probe_mat", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - EEVEE_shaders_probe_planar_display_sh_get(), - psl->probe_display, - DRW_cache_quad_get(), - e_data.format_probe_display_planar); - stl->g_data->planar_display_shgrp = grp; - DRW_shgroup_uniform_texture_ref(grp, "probePlanars", &txl->planar_pool); - } - else { - stl->g_data->planar_display_shgrp = NULL; - } - - { - psl->probe_planar_downsample_ps = DRW_pass_create("LightProbe Planar Downsample", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - EEVEE_shaders_probe_planar_downsample_sh_get(), psl->probe_planar_downsample_ps); - - DRW_shgroup_uniform_texture_ref(grp, "source", &txl->planar_pool); - DRW_shgroup_uniform_float(grp, "fireflyFactor", &sldata->common_data.ssr_firefly_fac, 1); - DRW_shgroup_call_instances_add(grp, DRW_cache_fullscreen_quad_get(), NULL, (uint *)&pinfo->num_planar); - } + EEVEE_TextureList *txl = vedata->txl; + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightCache *lcache = stl->g_data->light_cache; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + pinfo->num_planar = 0; + pinfo->vis_data.collection = NULL; + pinfo->do_grid_update = false; + pinfo->do_cube_update = false; + + { + psl->probe_background = DRW_pass_create("World Probe Background Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRWShadingGroup *grp = NULL; + + Scene *scene = draw_ctx->scene; + World *wo = scene->world; + + const float *col = G_draw.block.colorBackground; + + /* LookDev */ + EEVEE_lookdev_cache_init(vedata, &grp, psl->probe_background, 1.0f, wo, pinfo); + /* END */ + if (!grp && wo) { + col = &wo->horr; + + if (wo->use_nodes && wo->nodetree) { + static float error_col[3] = {1.0f, 0.0f, 1.0f}; + struct GPUMaterial *gpumat = EEVEE_material_world_lightprobe_get(scene, wo); + + eGPUMaterialStatus status = GPU_material_status(gpumat); + + switch (status) { + case GPU_MAT_SUCCESS: + grp = DRW_shgroup_material_create(gpumat, psl->probe_background); + DRW_shgroup_uniform_float_copy(grp, "backgroundAlpha", 1.0f); + /* TODO (fclem): remove those (need to clean the GLSL files). */ + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_call_add(grp, geom, NULL); + break; + default: + col = error_col; + break; + } + } + } + + /* Fallback if shader fails or if not using nodetree. */ + if (grp == NULL) { + grp = DRW_shgroup_create(EEVEE_shaders_probe_default_sh_get(), psl->probe_background); + DRW_shgroup_uniform_vec3(grp, "color", col, 1); + DRW_shgroup_uniform_float_copy(grp, "backgroundAlpha", 1.0f); + DRW_shgroup_call_add(grp, geom, NULL); + } + } + + if (DRW_state_draw_support() && !LOOK_DEV_STUDIO_LIGHT_ENABLED(draw_ctx->v3d)) { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_BACK; + psl->probe_display = DRW_pass_create("LightProbe Display", state); + + /* Cube Display */ + if (scene_eval->eevee.flag & SCE_EEVEE_SHOW_CUBEMAPS && lcache->cube_len > 1) { + int cube_len = lcache->cube_len - 1; /* don't count the world. */ + DRWShadingGroup *grp = DRW_shgroup_empty_tri_batch_create( + EEVEE_shaders_probe_cube_display_sh_get(), psl->probe_display, cube_len * 2); + + DRW_shgroup_uniform_texture_ref(grp, "probeCubes", &lcache->cube_tx.tex); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); + DRW_shgroup_uniform_float_copy( + grp, "sphere_size", scene_eval->eevee.gi_cubemap_draw_size * 0.5f); + /* TODO (fclem) get rid of those UBO. */ + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + } + + /* Grid Display */ + if (scene_eval->eevee.flag & SCE_EEVEE_SHOW_IRRADIANCE) { + EEVEE_LightGrid *egrid = lcache->grid_data + 1; + for (int p = 1; p < lcache->grid_len; ++p, egrid++) { + DRWShadingGroup *shgrp = DRW_shgroup_create(EEVEE_shaders_probe_grid_display_sh_get(), + psl->probe_display); + + DRW_shgroup_uniform_int(shgrp, "offset", &egrid->offset, 1); + DRW_shgroup_uniform_ivec3(shgrp, "grid_resolution", egrid->resolution, 1); + DRW_shgroup_uniform_vec3(shgrp, "corner", egrid->corner, 1); + DRW_shgroup_uniform_vec3(shgrp, "increment_x", egrid->increment_x, 1); + DRW_shgroup_uniform_vec3(shgrp, "increment_y", egrid->increment_y, 1); + DRW_shgroup_uniform_vec3(shgrp, "increment_z", egrid->increment_z, 1); + DRW_shgroup_uniform_vec3(shgrp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); + DRW_shgroup_uniform_texture_ref(shgrp, "irradianceGrid", &lcache->grid_tx.tex); + DRW_shgroup_uniform_float_copy( + shgrp, "sphere_size", scene_eval->eevee.gi_irradiance_draw_size * 0.5f); + /* TODO (fclem) get rid of those UBO. */ + DRW_shgroup_uniform_block(shgrp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(shgrp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(shgrp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(shgrp, "common_block", sldata->common_ubo); + int tri_count = egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2] * 2; + DRW_shgroup_call_procedural_triangles_add(shgrp, tri_count, NULL); + } + } + + /* Planar Display */ + DRW_shgroup_instance_format(e_data.format_probe_display_planar, + { + {"probe_id", DRW_ATTR_INT, 1}, + {"probe_mat", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(EEVEE_shaders_probe_planar_display_sh_get(), + psl->probe_display, + DRW_cache_quad_get(), + e_data.format_probe_display_planar); + stl->g_data->planar_display_shgrp = grp; + DRW_shgroup_uniform_texture_ref(grp, "probePlanars", &txl->planar_pool); + } + else { + stl->g_data->planar_display_shgrp = NULL; + } + + { + psl->probe_planar_downsample_ps = DRW_pass_create("LightProbe Planar Downsample", + DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(EEVEE_shaders_probe_planar_downsample_sh_get(), + psl->probe_planar_downsample_ps); + + DRW_shgroup_uniform_texture_ref(grp, "source", &txl->planar_pool); + DRW_shgroup_uniform_float(grp, "fireflyFactor", &sldata->common_data.ssr_firefly_fac, 1); + DRW_shgroup_call_instances_add( + grp, DRW_cache_fullscreen_quad_get(), NULL, (uint *)&pinfo->num_planar); + } } static bool eevee_lightprobes_culling_test(Object *ob) { - LightProbe *probe = (LightProbe *)ob->data; - - switch (probe->type) { - case LIGHTPROBE_TYPE_PLANAR: - { - /* See if this planar probe is inside the view frustum. If not, no need to update it. */ - /* NOTE: this could be bypassed if we want feedback loop mirrors for rendering. */ - BoundBox bbox; float tmp[4][4]; - const float min[3] = {-1.0f, -1.0f, -1.0f}; - const float max[3] = { 1.0f, 1.0f, 1.0f}; - BKE_boundbox_init_from_minmax(&bbox, min, max); - - copy_m4_m4(tmp, ob->obmat); - normalize_v3(tmp[2]); - mul_v3_fl(tmp[2], probe->distinf); - - for (int v = 0; v < 8; ++v) { - mul_m4_v3(tmp, bbox.vec[v]); - } - return DRW_culling_box_test(&bbox); - } - case LIGHTPROBE_TYPE_CUBE: - return true; /* TODO */ - case LIGHTPROBE_TYPE_GRID: - return true; /* TODO */ - } - BLI_assert(0); - return true; + LightProbe *probe = (LightProbe *)ob->data; + + switch (probe->type) { + case LIGHTPROBE_TYPE_PLANAR: { + /* See if this planar probe is inside the view frustum. If not, no need to update it. */ + /* NOTE: this could be bypassed if we want feedback loop mirrors for rendering. */ + BoundBox bbox; + float tmp[4][4]; + const float min[3] = {-1.0f, -1.0f, -1.0f}; + const float max[3] = {1.0f, 1.0f, 1.0f}; + BKE_boundbox_init_from_minmax(&bbox, min, max); + + copy_m4_m4(tmp, ob->obmat); + normalize_v3(tmp[2]); + mul_v3_fl(tmp[2], probe->distinf); + + for (int v = 0; v < 8; ++v) { + mul_m4_v3(tmp, bbox.vec[v]); + } + return DRW_culling_box_test(&bbox); + } + case LIGHTPROBE_TYPE_CUBE: + return true; /* TODO */ + case LIGHTPROBE_TYPE_GRID: + return true; /* TODO */ + } + BLI_assert(0); + return true; } void EEVEE_lightprobes_cache_add(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, Object *ob) { - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightProbe *probe = (LightProbe *)ob->data; - - if ((probe->type == LIGHTPROBE_TYPE_CUBE && pinfo->num_cube >= MAX_PROBE) || - (probe->type == LIGHTPROBE_TYPE_GRID && pinfo->num_grid >= MAX_PROBE) || - (probe->type == LIGHTPROBE_TYPE_PLANAR && pinfo->num_planar >= MAX_PLANAR)) - { - printf("Too many probes in the view !!!\n"); - return; - } - - if (probe->type == LIGHTPROBE_TYPE_PLANAR) { - if (!eevee_lightprobes_culling_test(ob)) { - return; /* Culled */ - } - EEVEE_lightprobes_planar_data_from_object(ob, - &pinfo->planar_data[pinfo->num_planar], - &pinfo->planar_vis_tests[pinfo->num_planar]); - /* Debug Display */ - DRWShadingGroup *grp = vedata->stl->g_data->planar_display_shgrp; - if (grp && (probe->flag & LIGHTPROBE_FLAG_SHOW_DATA)) { - DRW_shgroup_call_dynamic_add(grp, &pinfo->num_planar, ob->obmat); - } - - pinfo->num_planar++; - } - else { - EEVEE_LightProbeEngineData *ped = EEVEE_lightprobe_data_ensure(ob); - if (ped->need_update) { - if (probe->type == LIGHTPROBE_TYPE_GRID) { - pinfo->do_grid_update = true; - } - else { - pinfo->do_cube_update = true; - } - ped->need_update = false; - } - } + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightProbe *probe = (LightProbe *)ob->data; + + if ((probe->type == LIGHTPROBE_TYPE_CUBE && pinfo->num_cube >= MAX_PROBE) || + (probe->type == LIGHTPROBE_TYPE_GRID && pinfo->num_grid >= MAX_PROBE) || + (probe->type == LIGHTPROBE_TYPE_PLANAR && pinfo->num_planar >= MAX_PLANAR)) { + printf("Too many probes in the view !!!\n"); + return; + } + + if (probe->type == LIGHTPROBE_TYPE_PLANAR) { + if (!eevee_lightprobes_culling_test(ob)) { + return; /* Culled */ + } + EEVEE_lightprobes_planar_data_from_object( + ob, &pinfo->planar_data[pinfo->num_planar], &pinfo->planar_vis_tests[pinfo->num_planar]); + /* Debug Display */ + DRWShadingGroup *grp = vedata->stl->g_data->planar_display_shgrp; + if (grp && (probe->flag & LIGHTPROBE_FLAG_SHOW_DATA)) { + DRW_shgroup_call_dynamic_add(grp, &pinfo->num_planar, ob->obmat); + } + + pinfo->num_planar++; + } + else { + EEVEE_LightProbeEngineData *ped = EEVEE_lightprobe_data_ensure(ob); + if (ped->need_update) { + if (probe->type == LIGHTPROBE_TYPE_GRID) { + pinfo->do_grid_update = true; + } + else { + pinfo->do_cube_update = true; + } + ped->need_update = false; + } + } } void EEVEE_lightprobes_grid_data_from_object(Object *ob, EEVEE_LightGrid *egrid, int *offset) { - LightProbe *probe = (LightProbe *)ob->data; - - copy_v3_v3_int(egrid->resolution, &probe->grid_resolution_x); - - /* Save current offset and advance it for the next grid. */ - egrid->offset = *offset; - *offset += egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2]; - - /* Add one for level 0 */ - float fac = 1.0f / max_ff(1e-8f, probe->falloff); - egrid->attenuation_scale = fac / max_ff(1e-8f, probe->distinf); - egrid->attenuation_bias = fac; - - /* Update transforms */ - float cell_dim[3], half_cell_dim[3]; - cell_dim[0] = 2.0f / egrid->resolution[0]; - cell_dim[1] = 2.0f / egrid->resolution[1]; - cell_dim[2] = 2.0f / egrid->resolution[2]; - - mul_v3_v3fl(half_cell_dim, cell_dim, 0.5f); - - /* Matrix converting world space to cell ranges. */ - invert_m4_m4(egrid->mat, ob->obmat); - - /* First cell. */ - copy_v3_fl(egrid->corner, -1.0f); - add_v3_v3(egrid->corner, half_cell_dim); - mul_m4_v3(ob->obmat, egrid->corner); - - /* Opposite neighbor cell. */ - copy_v3_fl3(egrid->increment_x, cell_dim[0], 0.0f, 0.0f); - add_v3_v3(egrid->increment_x, half_cell_dim); - add_v3_fl(egrid->increment_x, -1.0f); - mul_m4_v3(ob->obmat, egrid->increment_x); - sub_v3_v3(egrid->increment_x, egrid->corner); - - copy_v3_fl3(egrid->increment_y, 0.0f, cell_dim[1], 0.0f); - add_v3_v3(egrid->increment_y, half_cell_dim); - add_v3_fl(egrid->increment_y, -1.0f); - mul_m4_v3(ob->obmat, egrid->increment_y); - sub_v3_v3(egrid->increment_y, egrid->corner); - - copy_v3_fl3(egrid->increment_z, 0.0f, 0.0f, cell_dim[2]); - add_v3_v3(egrid->increment_z, half_cell_dim); - add_v3_fl(egrid->increment_z, -1.0f); - mul_m4_v3(ob->obmat, egrid->increment_z); - sub_v3_v3(egrid->increment_z, egrid->corner); - - /* Visibility bias */ - egrid->visibility_bias = 0.05f * probe->vis_bias; - egrid->visibility_bleed = probe->vis_bleedbias; - egrid->visibility_range = 1.0f + sqrtf(max_fff(len_squared_v3(egrid->increment_x), - len_squared_v3(egrid->increment_y), - len_squared_v3(egrid->increment_z))); + LightProbe *probe = (LightProbe *)ob->data; + + copy_v3_v3_int(egrid->resolution, &probe->grid_resolution_x); + + /* Save current offset and advance it for the next grid. */ + egrid->offset = *offset; + *offset += egrid->resolution[0] * egrid->resolution[1] * egrid->resolution[2]; + + /* Add one for level 0 */ + float fac = 1.0f / max_ff(1e-8f, probe->falloff); + egrid->attenuation_scale = fac / max_ff(1e-8f, probe->distinf); + egrid->attenuation_bias = fac; + + /* Update transforms */ + float cell_dim[3], half_cell_dim[3]; + cell_dim[0] = 2.0f / egrid->resolution[0]; + cell_dim[1] = 2.0f / egrid->resolution[1]; + cell_dim[2] = 2.0f / egrid->resolution[2]; + + mul_v3_v3fl(half_cell_dim, cell_dim, 0.5f); + + /* Matrix converting world space to cell ranges. */ + invert_m4_m4(egrid->mat, ob->obmat); + + /* First cell. */ + copy_v3_fl(egrid->corner, -1.0f); + add_v3_v3(egrid->corner, half_cell_dim); + mul_m4_v3(ob->obmat, egrid->corner); + + /* Opposite neighbor cell. */ + copy_v3_fl3(egrid->increment_x, cell_dim[0], 0.0f, 0.0f); + add_v3_v3(egrid->increment_x, half_cell_dim); + add_v3_fl(egrid->increment_x, -1.0f); + mul_m4_v3(ob->obmat, egrid->increment_x); + sub_v3_v3(egrid->increment_x, egrid->corner); + + copy_v3_fl3(egrid->increment_y, 0.0f, cell_dim[1], 0.0f); + add_v3_v3(egrid->increment_y, half_cell_dim); + add_v3_fl(egrid->increment_y, -1.0f); + mul_m4_v3(ob->obmat, egrid->increment_y); + sub_v3_v3(egrid->increment_y, egrid->corner); + + copy_v3_fl3(egrid->increment_z, 0.0f, 0.0f, cell_dim[2]); + add_v3_v3(egrid->increment_z, half_cell_dim); + add_v3_fl(egrid->increment_z, -1.0f); + mul_m4_v3(ob->obmat, egrid->increment_z); + sub_v3_v3(egrid->increment_z, egrid->corner); + + /* Visibility bias */ + egrid->visibility_bias = 0.05f * probe->vis_bias; + egrid->visibility_bleed = probe->vis_bleedbias; + egrid->visibility_range = 1.0f + sqrtf(max_fff(len_squared_v3(egrid->increment_x), + len_squared_v3(egrid->increment_y), + len_squared_v3(egrid->increment_z))); } void EEVEE_lightprobes_cube_data_from_object(Object *ob, EEVEE_LightProbe *eprobe) { - LightProbe *probe = (LightProbe *)ob->data; - - /* Update transforms */ - copy_v3_v3(eprobe->position, ob->obmat[3]); - - /* Attenuation */ - eprobe->attenuation_type = probe->attenuation_type; - eprobe->attenuation_fac = 1.0f / max_ff(1e-8f, probe->falloff); - - unit_m4(eprobe->attenuationmat); - scale_m4_fl(eprobe->attenuationmat, probe->distinf); - mul_m4_m4m4(eprobe->attenuationmat, ob->obmat, eprobe->attenuationmat); - invert_m4(eprobe->attenuationmat); - - /* Parallax */ - unit_m4(eprobe->parallaxmat); - - if ((probe->flag & LIGHTPROBE_FLAG_CUSTOM_PARALLAX) != 0) { - eprobe->parallax_type = probe->parallax_type; - scale_m4_fl(eprobe->parallaxmat, probe->distpar); - } - else { - eprobe->parallax_type = probe->attenuation_type; - scale_m4_fl(eprobe->parallaxmat, probe->distinf); - } - - mul_m4_m4m4(eprobe->parallaxmat, ob->obmat, eprobe->parallaxmat); - invert_m4(eprobe->parallaxmat); + LightProbe *probe = (LightProbe *)ob->data; + + /* Update transforms */ + copy_v3_v3(eprobe->position, ob->obmat[3]); + + /* Attenuation */ + eprobe->attenuation_type = probe->attenuation_type; + eprobe->attenuation_fac = 1.0f / max_ff(1e-8f, probe->falloff); + + unit_m4(eprobe->attenuationmat); + scale_m4_fl(eprobe->attenuationmat, probe->distinf); + mul_m4_m4m4(eprobe->attenuationmat, ob->obmat, eprobe->attenuationmat); + invert_m4(eprobe->attenuationmat); + + /* Parallax */ + unit_m4(eprobe->parallaxmat); + + if ((probe->flag & LIGHTPROBE_FLAG_CUSTOM_PARALLAX) != 0) { + eprobe->parallax_type = probe->parallax_type; + scale_m4_fl(eprobe->parallaxmat, probe->distpar); + } + else { + eprobe->parallax_type = probe->attenuation_type; + scale_m4_fl(eprobe->parallaxmat, probe->distinf); + } + + mul_m4_m4m4(eprobe->parallaxmat, ob->obmat, eprobe->parallaxmat); + invert_m4(eprobe->parallaxmat); } -void EEVEE_lightprobes_planar_data_from_object(Object *ob, EEVEE_PlanarReflection *eplanar, EEVEE_LightProbeVisTest *vis_test) +void EEVEE_lightprobes_planar_data_from_object(Object *ob, + EEVEE_PlanarReflection *eplanar, + EEVEE_LightProbeVisTest *vis_test) { - LightProbe *probe = (LightProbe *)ob->data; - float normat[4][4], imat[4][4]; - - vis_test->collection = probe->visibility_grp; - vis_test->invert = probe->flag & LIGHTPROBE_FLAG_INVERT_GROUP; - vis_test->cached = false; - - /* Computing mtx : matrix that mirror position around object's XY plane. */ - normalize_m4_m4(normat, ob->obmat); /* object > world */ - invert_m4_m4(imat, normat); /* world > object */ - /* XY reflection plane */ - imat[0][2] = -imat[0][2]; - imat[1][2] = -imat[1][2]; - imat[2][2] = -imat[2][2]; - imat[3][2] = -imat[3][2]; /* world > object > mirrored obj */ - mul_m4_m4m4(eplanar->mtx, normat, imat); /* world > object > mirrored obj > world */ - - /* Compute clip plane equation / normal. */ - copy_v3_v3(eplanar->plane_equation, ob->obmat[2]); - normalize_v3(eplanar->plane_equation); /* plane normal */ - eplanar->plane_equation[3] = -dot_v3v3(eplanar->plane_equation, ob->obmat[3]); - eplanar->clipsta = probe->clipsta; - - /* Compute XY clip planes. */ - normalize_v3_v3(eplanar->clip_vec_x, ob->obmat[0]); - normalize_v3_v3(eplanar->clip_vec_y, ob->obmat[1]); - - float vec[3] = {0.0f, 0.0f, 0.0f}; - vec[0] = 1.0f; vec[1] = 0.0f; vec[2] = 0.0f; - mul_m4_v3(ob->obmat, vec); /* Point on the edge */ - eplanar->clip_edge_x_pos = dot_v3v3(eplanar->clip_vec_x, vec); - - vec[0] = 0.0f; vec[1] = 1.0f; vec[2] = 0.0f; - mul_m4_v3(ob->obmat, vec); /* Point on the edge */ - eplanar->clip_edge_y_pos = dot_v3v3(eplanar->clip_vec_y, vec); - - vec[0] = -1.0f; vec[1] = 0.0f; vec[2] = 0.0f; - mul_m4_v3(ob->obmat, vec); /* Point on the edge */ - eplanar->clip_edge_x_neg = dot_v3v3(eplanar->clip_vec_x, vec); - - vec[0] = 0.0f; vec[1] = -1.0f; vec[2] = 0.0f; - mul_m4_v3(ob->obmat, vec); /* Point on the edge */ - eplanar->clip_edge_y_neg = dot_v3v3(eplanar->clip_vec_y, vec); - - /* Facing factors */ - float max_angle = max_ff(1e-2f, 1.0f - probe->falloff) * M_PI * 0.5f; - float min_angle = 0.0f; - eplanar->facing_scale = 1.0f / max_ff(1e-8f, cosf(min_angle) - cosf(max_angle)); - eplanar->facing_bias = -min_ff(1.0f - 1e-8f, cosf(max_angle)) * eplanar->facing_scale; - - /* Distance factors */ - float max_dist = probe->distinf; - float min_dist = min_ff(1.0f - 1e-8f, 1.0f - probe->falloff) * probe->distinf; - eplanar->attenuation_scale = -1.0f / max_ff(1e-8f, max_dist - min_dist); - eplanar->attenuation_bias = max_dist * -eplanar->attenuation_scale; + LightProbe *probe = (LightProbe *)ob->data; + float normat[4][4], imat[4][4]; + + vis_test->collection = probe->visibility_grp; + vis_test->invert = probe->flag & LIGHTPROBE_FLAG_INVERT_GROUP; + vis_test->cached = false; + + /* Computing mtx : matrix that mirror position around object's XY plane. */ + normalize_m4_m4(normat, ob->obmat); /* object > world */ + invert_m4_m4(imat, normat); /* world > object */ + /* XY reflection plane */ + imat[0][2] = -imat[0][2]; + imat[1][2] = -imat[1][2]; + imat[2][2] = -imat[2][2]; + imat[3][2] = -imat[3][2]; /* world > object > mirrored obj */ + mul_m4_m4m4(eplanar->mtx, normat, imat); /* world > object > mirrored obj > world */ + + /* Compute clip plane equation / normal. */ + copy_v3_v3(eplanar->plane_equation, ob->obmat[2]); + normalize_v3(eplanar->plane_equation); /* plane normal */ + eplanar->plane_equation[3] = -dot_v3v3(eplanar->plane_equation, ob->obmat[3]); + eplanar->clipsta = probe->clipsta; + + /* Compute XY clip planes. */ + normalize_v3_v3(eplanar->clip_vec_x, ob->obmat[0]); + normalize_v3_v3(eplanar->clip_vec_y, ob->obmat[1]); + + float vec[3] = {0.0f, 0.0f, 0.0f}; + vec[0] = 1.0f; + vec[1] = 0.0f; + vec[2] = 0.0f; + mul_m4_v3(ob->obmat, vec); /* Point on the edge */ + eplanar->clip_edge_x_pos = dot_v3v3(eplanar->clip_vec_x, vec); + + vec[0] = 0.0f; + vec[1] = 1.0f; + vec[2] = 0.0f; + mul_m4_v3(ob->obmat, vec); /* Point on the edge */ + eplanar->clip_edge_y_pos = dot_v3v3(eplanar->clip_vec_y, vec); + + vec[0] = -1.0f; + vec[1] = 0.0f; + vec[2] = 0.0f; + mul_m4_v3(ob->obmat, vec); /* Point on the edge */ + eplanar->clip_edge_x_neg = dot_v3v3(eplanar->clip_vec_x, vec); + + vec[0] = 0.0f; + vec[1] = -1.0f; + vec[2] = 0.0f; + mul_m4_v3(ob->obmat, vec); /* Point on the edge */ + eplanar->clip_edge_y_neg = dot_v3v3(eplanar->clip_vec_y, vec); + + /* Facing factors */ + float max_angle = max_ff(1e-2f, 1.0f - probe->falloff) * M_PI * 0.5f; + float min_angle = 0.0f; + eplanar->facing_scale = 1.0f / max_ff(1e-8f, cosf(min_angle) - cosf(max_angle)); + eplanar->facing_bias = -min_ff(1.0f - 1e-8f, cosf(max_angle)) * eplanar->facing_scale; + + /* Distance factors */ + float max_dist = probe->distinf; + float min_dist = min_ff(1.0f - 1e-8f, 1.0f - probe->falloff) * probe->distinf; + eplanar->attenuation_scale = -1.0f / max_ff(1e-8f, max_dist - min_dist); + eplanar->attenuation_bias = max_dist * -eplanar->attenuation_scale; } -static void lightbake_planar_compute_render_matrices( - EEVEE_PlanarReflection *eplanar, DRWMatrixState *r_matstate, - const float viewmat[4][4], const float winmat[4][4]) +static void lightbake_planar_compute_render_matrices(EEVEE_PlanarReflection *eplanar, + DRWMatrixState *r_matstate, + const float viewmat[4][4], + const float winmat[4][4]) { - /* Temporal sampling jitter should be already applied to the DRW_MAT_WIN. */ - copy_m4_m4(r_matstate->winmat, winmat); - /* Invert X to avoid flipping the triangle facing direction. */ - r_matstate->winmat[0][0] = -r_matstate->winmat[0][0]; - r_matstate->winmat[1][0] = -r_matstate->winmat[1][0]; - r_matstate->winmat[2][0] = -r_matstate->winmat[2][0]; - r_matstate->winmat[3][0] = -r_matstate->winmat[3][0]; - /* Reflect Camera Matrix. */ - mul_m4_m4m4(r_matstate->viewmat, viewmat, eplanar->mtx); - /* Apply Projection Matrix. */ - mul_m4_m4m4(r_matstate->persmat, r_matstate->winmat, r_matstate->viewmat); + /* Temporal sampling jitter should be already applied to the DRW_MAT_WIN. */ + copy_m4_m4(r_matstate->winmat, winmat); + /* Invert X to avoid flipping the triangle facing direction. */ + r_matstate->winmat[0][0] = -r_matstate->winmat[0][0]; + r_matstate->winmat[1][0] = -r_matstate->winmat[1][0]; + r_matstate->winmat[2][0] = -r_matstate->winmat[2][0]; + r_matstate->winmat[3][0] = -r_matstate->winmat[3][0]; + /* Reflect Camera Matrix. */ + mul_m4_m4m4(r_matstate->viewmat, viewmat, eplanar->mtx); + /* Apply Projection Matrix. */ + mul_m4_m4m4(r_matstate->persmat, r_matstate->winmat, r_matstate->viewmat); } static void eevee_lightprobes_extract_from_cache(EEVEE_LightProbesInfo *pinfo, LightCache *lcache) { - /* copy the entire cache for now (up to MAX_PROBE) */ - /* TODO Frutum cull to only add visible probes. */ - memcpy(pinfo->probe_data, lcache->cube_data, sizeof(EEVEE_LightProbe) * max_ii(1, min_ii(lcache->cube_len, MAX_PROBE))); - /* TODO compute the max number of grid based on sample count. */ - memcpy(pinfo->grid_data, lcache->grid_data, sizeof(EEVEE_LightGrid) * max_ii(1, min_ii(lcache->grid_len, MAX_GRID))); + /* copy the entire cache for now (up to MAX_PROBE) */ + /* TODO Frutum cull to only add visible probes. */ + memcpy(pinfo->probe_data, + lcache->cube_data, + sizeof(EEVEE_LightProbe) * max_ii(1, min_ii(lcache->cube_len, MAX_PROBE))); + /* TODO compute the max number of grid based on sample count. */ + memcpy(pinfo->grid_data, + lcache->grid_data, + sizeof(EEVEE_LightGrid) * max_ii(1, min_ii(lcache->grid_len, MAX_GRID))); } void EEVEE_lightprobes_cache_finish(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - LightCache *light_cache = stl->g_data->light_cache; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - eevee_lightprobes_extract_from_cache(sldata->probes, light_cache); - - DRW_uniformbuffer_update(sldata->probe_ubo, &sldata->probes->probe_data); - DRW_uniformbuffer_update(sldata->grid_ubo, &sldata->probes->grid_data); - - /* For shading, save max level of the octahedron map */ - sldata->common_data.prb_lod_cube_max = (float)light_cache->mips_len - 1.0f; - sldata->common_data.prb_lod_planar_max = (float)MAX_PLANAR_LOD_LEVEL; - sldata->common_data.prb_irradiance_vis_size = light_cache->vis_res; - sldata->common_data.prb_irradiance_smooth = SQUARE(scene_eval->eevee.gi_irradiance_smoothing); - sldata->common_data.prb_num_render_cube = max_ii(1, light_cache->cube_len); - sldata->common_data.prb_num_render_grid = max_ii(1, light_cache->grid_len); - sldata->common_data.prb_num_planar = pinfo->num_planar; - - if (pinfo->num_planar != pinfo->cache_num_planar) { - DRW_TEXTURE_FREE_SAFE(vedata->txl->planar_pool); - DRW_TEXTURE_FREE_SAFE(vedata->txl->planar_depth); - pinfo->cache_num_planar = pinfo->num_planar; - } - planar_pool_ensure_alloc(vedata, pinfo->num_planar); - - /* If lightcache auto-update is enable we tag the relevant part - * of the cache to update and fire up a baking job. */ - if (!DRW_state_is_image_render() && !DRW_state_is_opengl_render() && - (pinfo->do_grid_update || pinfo->do_cube_update)) - { - BLI_assert(draw_ctx->evil_C); - - if (draw_ctx->scene->eevee.flag & SCE_EEVEE_GI_AUTOBAKE) { - Scene *scene_orig = DEG_get_input_scene(draw_ctx->depsgraph); - if (scene_orig->eevee.light_cache != NULL) { - if (pinfo->do_grid_update) { - scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_GRID; - } - /* If we update grid we need to update the cubemaps too. - * So always refresh cubemaps. */ - scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_CUBE; - /* Tag the lightcache to auto update. */ - scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_AUTO; - /* Use a notifier to trigger the operator after drawing. */ - WM_event_add_notifier(draw_ctx->evil_C, NC_LIGHTPROBE, scene_orig); - } - } - } + EEVEE_StorageList *stl = vedata->stl; + LightCache *light_cache = stl->g_data->light_cache; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + eevee_lightprobes_extract_from_cache(sldata->probes, light_cache); + + DRW_uniformbuffer_update(sldata->probe_ubo, &sldata->probes->probe_data); + DRW_uniformbuffer_update(sldata->grid_ubo, &sldata->probes->grid_data); + + /* For shading, save max level of the octahedron map */ + sldata->common_data.prb_lod_cube_max = (float)light_cache->mips_len - 1.0f; + sldata->common_data.prb_lod_planar_max = (float)MAX_PLANAR_LOD_LEVEL; + sldata->common_data.prb_irradiance_vis_size = light_cache->vis_res; + sldata->common_data.prb_irradiance_smooth = SQUARE(scene_eval->eevee.gi_irradiance_smoothing); + sldata->common_data.prb_num_render_cube = max_ii(1, light_cache->cube_len); + sldata->common_data.prb_num_render_grid = max_ii(1, light_cache->grid_len); + sldata->common_data.prb_num_planar = pinfo->num_planar; + + if (pinfo->num_planar != pinfo->cache_num_planar) { + DRW_TEXTURE_FREE_SAFE(vedata->txl->planar_pool); + DRW_TEXTURE_FREE_SAFE(vedata->txl->planar_depth); + pinfo->cache_num_planar = pinfo->num_planar; + } + planar_pool_ensure_alloc(vedata, pinfo->num_planar); + + /* If lightcache auto-update is enable we tag the relevant part + * of the cache to update and fire up a baking job. */ + if (!DRW_state_is_image_render() && !DRW_state_is_opengl_render() && + (pinfo->do_grid_update || pinfo->do_cube_update)) { + BLI_assert(draw_ctx->evil_C); + + if (draw_ctx->scene->eevee.flag & SCE_EEVEE_GI_AUTOBAKE) { + Scene *scene_orig = DEG_get_input_scene(draw_ctx->depsgraph); + if (scene_orig->eevee.light_cache != NULL) { + if (pinfo->do_grid_update) { + scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_GRID; + } + /* If we update grid we need to update the cubemaps too. + * So always refresh cubemaps. */ + scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_CUBE; + /* Tag the lightcache to auto update. */ + scene_orig->eevee.light_cache->flag |= LIGHTCACHE_UPDATE_AUTO; + /* Use a notifier to trigger the operator after drawing. */ + WM_event_add_notifier(draw_ctx->evil_C, NC_LIGHTPROBE, scene_orig); + } + } + } } /* -------------------------------------------------------------------- */ @@ -747,215 +778,226 @@ void EEVEE_lightprobes_cache_finish(EEVEE_ViewLayerData *sldata, EEVEE_Data *ved * \{ */ typedef struct EEVEE_BakeRenderData { - EEVEE_Data *vedata; - EEVEE_ViewLayerData *sldata; - struct GPUFrameBuffer **face_fb; /* should contain 6 framebuffer */ + EEVEE_Data *vedata; + EEVEE_ViewLayerData *sldata; + struct GPUFrameBuffer **face_fb; /* should contain 6 framebuffer */ } EEVEE_BakeRenderData; -static void render_cubemap( - void (*callback)(int face, EEVEE_BakeRenderData *user_data), EEVEE_BakeRenderData *user_data, - const float pos[3], float clipsta, float clipend) +static void render_cubemap(void (*callback)(int face, EEVEE_BakeRenderData *user_data), + EEVEE_BakeRenderData *user_data, + const float pos[3], + float clipsta, + float clipend) { - DRWMatrixState matstate; - - /* Move to capture position */ - float posmat[4][4]; - unit_m4(posmat); - negate_v3_v3(posmat[3], pos); - - perspective_m4(matstate.winmat, -clipsta, clipsta, -clipsta, clipsta, clipsta, clipend); - invert_m4_m4(matstate.wininv, matstate.winmat); - - /* 1 - Render to each cubeface individually. - * We do this instead of using geometry shader because a) it's faster, - * b) it's easier than fixing the nodetree shaders (for view dependent effects). */ - for (int i = 0; i < 6; ++i) { - /* Setup custom matrices */ - mul_m4_m4m4(matstate.viewmat, cubefacemat[i], posmat); - mul_m4_m4m4(matstate.persmat, matstate.winmat, matstate.viewmat); - invert_m4_m4(matstate.persinv, matstate.persmat); - invert_m4_m4(matstate.viewinv, matstate.viewmat); - invert_m4_m4(matstate.wininv, matstate.winmat); - - DRW_viewport_matrix_override_set_all(&matstate); - - callback(i, user_data); - } + DRWMatrixState matstate; + + /* Move to capture position */ + float posmat[4][4]; + unit_m4(posmat); + negate_v3_v3(posmat[3], pos); + + perspective_m4(matstate.winmat, -clipsta, clipsta, -clipsta, clipsta, clipsta, clipend); + invert_m4_m4(matstate.wininv, matstate.winmat); + + /* 1 - Render to each cubeface individually. + * We do this instead of using geometry shader because a) it's faster, + * b) it's easier than fixing the nodetree shaders (for view dependent effects). */ + for (int i = 0; i < 6; ++i) { + /* Setup custom matrices */ + mul_m4_m4m4(matstate.viewmat, cubefacemat[i], posmat); + mul_m4_m4m4(matstate.persmat, matstate.winmat, matstate.viewmat); + invert_m4_m4(matstate.persinv, matstate.persmat); + invert_m4_m4(matstate.viewinv, matstate.viewmat); + invert_m4_m4(matstate.wininv, matstate.winmat); + + DRW_viewport_matrix_override_set_all(&matstate); + + callback(i, user_data); + } } -static void render_reflections( - void (*callback)(int face, EEVEE_BakeRenderData *user_data), EEVEE_BakeRenderData *user_data, - EEVEE_PlanarReflection *planar_data, int ref_count) +static void render_reflections(void (*callback)(int face, EEVEE_BakeRenderData *user_data), + EEVEE_BakeRenderData *user_data, + EEVEE_PlanarReflection *planar_data, + int ref_count) { - DRWMatrixState matstate; - - float original_viewmat[4][4], original_winmat[4][4]; - DRW_viewport_matrix_get(original_viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_get(original_winmat, DRW_MAT_WIN); - - for (int i = 0; i < ref_count; ++i) { - /* Setup custom matrices */ - lightbake_planar_compute_render_matrices(planar_data + i, &matstate, original_viewmat, original_winmat); - invert_m4_m4(matstate.persinv, matstate.persmat); - invert_m4_m4(matstate.viewinv, matstate.viewmat); - invert_m4_m4(matstate.wininv, matstate.winmat); - DRW_viewport_matrix_override_set_all(&matstate); - - callback(i, user_data); - } + DRWMatrixState matstate; + + float original_viewmat[4][4], original_winmat[4][4]; + DRW_viewport_matrix_get(original_viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_get(original_winmat, DRW_MAT_WIN); + + for (int i = 0; i < ref_count; ++i) { + /* Setup custom matrices */ + lightbake_planar_compute_render_matrices( + planar_data + i, &matstate, original_viewmat, original_winmat); + invert_m4_m4(matstate.persinv, matstate.persmat); + invert_m4_m4(matstate.viewinv, matstate.viewmat); + invert_m4_m4(matstate.wininv, matstate.winmat); + DRW_viewport_matrix_override_set_all(&matstate); + + callback(i, user_data); + } } static void lightbake_render_world_face(int face, EEVEE_BakeRenderData *user_data) { - EEVEE_PassList *psl = user_data->vedata->psl; - struct GPUFrameBuffer **face_fb = user_data->face_fb; - - /* For world probe, we don't need to clear the color buffer - * since we render the background directly. */ - GPU_framebuffer_bind(face_fb[face]); - GPU_framebuffer_clear_depth(face_fb[face], 1.0f); - DRW_draw_pass(psl->probe_background); + EEVEE_PassList *psl = user_data->vedata->psl; + struct GPUFrameBuffer **face_fb = user_data->face_fb; + + /* For world probe, we don't need to clear the color buffer + * since we render the background directly. */ + GPU_framebuffer_bind(face_fb[face]); + GPU_framebuffer_clear_depth(face_fb[face], 1.0f); + DRW_draw_pass(psl->probe_background); } -void EEVEE_lightbake_render_world(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata, struct GPUFrameBuffer *face_fb[6]) +void EEVEE_lightbake_render_world(EEVEE_ViewLayerData *UNUSED(sldata), + EEVEE_Data *vedata, + struct GPUFrameBuffer *face_fb[6]) { - EEVEE_BakeRenderData brdata = { - .vedata = vedata, - .face_fb = face_fb, - }; + EEVEE_BakeRenderData brdata = { + .vedata = vedata, + .face_fb = face_fb, + }; - render_cubemap(lightbake_render_world_face, &brdata, (float[3]){0.0f}, 1.0f, 10.0f); + render_cubemap(lightbake_render_world_face, &brdata, (float[3]){0.0f}, 1.0f, 10.0f); } static void lightbake_render_scene_face(int face, EEVEE_BakeRenderData *user_data) { - EEVEE_ViewLayerData *sldata = user_data->sldata; - EEVEE_PassList *psl = user_data->vedata->psl; - struct GPUFrameBuffer **face_fb = user_data->face_fb; - - /* Be sure that cascaded shadow maps are updated. */ - EEVEE_draw_shadows(sldata, user_data->vedata); - - GPU_framebuffer_bind(face_fb[face]); - GPU_framebuffer_clear_depth(face_fb[face], 1.0f); - - DRW_draw_pass(psl->depth_pass); - DRW_draw_pass(psl->depth_pass_cull); - DRW_draw_pass(psl->probe_background); - DRW_draw_pass(psl->material_pass); - DRW_draw_pass(psl->material_pass_cull); - DRW_draw_pass(psl->sss_pass); /* Only output standard pass */ - DRW_draw_pass(psl->sss_pass_cull); - EEVEE_draw_default_passes(psl); + EEVEE_ViewLayerData *sldata = user_data->sldata; + EEVEE_PassList *psl = user_data->vedata->psl; + struct GPUFrameBuffer **face_fb = user_data->face_fb; + + /* Be sure that cascaded shadow maps are updated. */ + EEVEE_draw_shadows(sldata, user_data->vedata); + + GPU_framebuffer_bind(face_fb[face]); + GPU_framebuffer_clear_depth(face_fb[face], 1.0f); + + DRW_draw_pass(psl->depth_pass); + DRW_draw_pass(psl->depth_pass_cull); + DRW_draw_pass(psl->probe_background); + DRW_draw_pass(psl->material_pass); + DRW_draw_pass(psl->material_pass_cull); + DRW_draw_pass(psl->sss_pass); /* Only output standard pass */ + DRW_draw_pass(psl->sss_pass_cull); + EEVEE_draw_default_passes(psl); } /* Render the scene to the probe_rt texture. */ -void EEVEE_lightbake_render_scene( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUFrameBuffer *face_fb[6], - const float pos[3], float near_clip, float far_clip) +void EEVEE_lightbake_render_scene(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUFrameBuffer *face_fb[6], + const float pos[3], + float near_clip, + float far_clip) { - EEVEE_BakeRenderData brdata = { - .vedata = vedata, - .sldata = sldata, - .face_fb = face_fb, - }; + EEVEE_BakeRenderData brdata = { + .vedata = vedata, + .sldata = sldata, + .face_fb = face_fb, + }; - render_cubemap(lightbake_render_scene_face, &brdata, pos, near_clip, far_clip); + render_cubemap(lightbake_render_scene_face, &brdata, pos, near_clip, far_clip); } static void lightbake_render_scene_reflected(int layer, EEVEE_BakeRenderData *user_data) { - EEVEE_Data *vedata = user_data->vedata; - EEVEE_ViewLayerData *sldata = user_data->sldata; - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - EEVEE_PlanarReflection *eplanar = pinfo->planar_data + layer; - - GPU_framebuffer_ensure_config(&fbl->planarref_fb, { - GPU_ATTACHMENT_TEXTURE_LAYER(txl->planar_depth, layer), - GPU_ATTACHMENT_TEXTURE_LAYER(txl->planar_pool, layer) - }); - - /* Use visibility info for this planar reflection. */ - pinfo->vis_data = pinfo->planar_vis_tests[layer]; - - /* Avoid using the texture attached to framebuffer when rendering. */ - /* XXX */ - GPUTexture *tmp_planar_pool = txl->planar_pool; - GPUTexture *tmp_planar_depth = txl->planar_depth; - txl->planar_pool = e_data.planar_pool_placeholder; - txl->planar_depth = e_data.depth_array_placeholder; - - /* Be sure that cascaded shadow maps are updated. */ - DRW_stats_group_start("Planar Reflection"); - - /* Be sure that cascaded shadow maps are updated. */ - EEVEE_draw_shadows(sldata, vedata); - - /* Compute offset plane equation (fix missing texels near reflection plane). */ - copy_v4_v4(sldata->clip_data.clip_planes[0], eplanar->plane_equation); - sldata->clip_data.clip_planes[0][3] += eplanar->clipsta; - /* Set clipping plane */ - DRW_uniformbuffer_update(sldata->clip_ubo, &sldata->clip_data); - DRW_state_clip_planes_len_set(1); - - GPU_framebuffer_bind(fbl->planarref_fb); - GPU_framebuffer_clear_depth(fbl->planarref_fb, 1.0); - - float prev_background_alpha = vedata->stl->g_data->background_alpha; - vedata->stl->g_data->background_alpha = 1.0f; - - /* Slight modification: we handle refraction as normal - * shading and don't do SSRefraction. */ - - DRW_draw_pass(psl->depth_pass_clip); - DRW_draw_pass(psl->depth_pass_clip_cull); - DRW_draw_pass(psl->refract_depth_pass); - DRW_draw_pass(psl->refract_depth_pass_cull); - - DRW_draw_pass(psl->probe_background); - EEVEE_create_minmax_buffer(vedata, tmp_planar_depth, layer); - EEVEE_occlusion_compute(sldata, vedata, tmp_planar_depth, layer); - - GPU_framebuffer_bind(fbl->planarref_fb); - - /* Shading pass */ - EEVEE_draw_default_passes(psl); - DRW_draw_pass(psl->material_pass); - DRW_draw_pass(psl->material_pass_cull); - DRW_draw_pass(psl->sss_pass); /* Only output standard pass */ - DRW_draw_pass(psl->sss_pass_cull); - DRW_draw_pass(psl->refract_pass); - - /* Transparent */ - if (DRW_state_is_image_render()) { - /* Do the reordering only for offline because it can be costly. */ - DRW_pass_sort_shgroup_z(psl->transparent_pass); - } - DRW_draw_pass(psl->transparent_pass); - - DRW_state_clip_planes_reset(); - - DRW_stats_group_end(); - - /* Restore */ - txl->planar_pool = tmp_planar_pool; - txl->planar_depth = tmp_planar_depth; - - vedata->stl->g_data->background_alpha = prev_background_alpha; + EEVEE_Data *vedata = user_data->vedata; + EEVEE_ViewLayerData *sldata = user_data->sldata; + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + EEVEE_PlanarReflection *eplanar = pinfo->planar_data + layer; + + GPU_framebuffer_ensure_config(&fbl->planarref_fb, + {GPU_ATTACHMENT_TEXTURE_LAYER(txl->planar_depth, layer), + GPU_ATTACHMENT_TEXTURE_LAYER(txl->planar_pool, layer)}); + + /* Use visibility info for this planar reflection. */ + pinfo->vis_data = pinfo->planar_vis_tests[layer]; + + /* Avoid using the texture attached to framebuffer when rendering. */ + /* XXX */ + GPUTexture *tmp_planar_pool = txl->planar_pool; + GPUTexture *tmp_planar_depth = txl->planar_depth; + txl->planar_pool = e_data.planar_pool_placeholder; + txl->planar_depth = e_data.depth_array_placeholder; + + /* Be sure that cascaded shadow maps are updated. */ + DRW_stats_group_start("Planar Reflection"); + + /* Be sure that cascaded shadow maps are updated. */ + EEVEE_draw_shadows(sldata, vedata); + + /* Compute offset plane equation (fix missing texels near reflection plane). */ + copy_v4_v4(sldata->clip_data.clip_planes[0], eplanar->plane_equation); + sldata->clip_data.clip_planes[0][3] += eplanar->clipsta; + /* Set clipping plane */ + DRW_uniformbuffer_update(sldata->clip_ubo, &sldata->clip_data); + DRW_state_clip_planes_len_set(1); + + GPU_framebuffer_bind(fbl->planarref_fb); + GPU_framebuffer_clear_depth(fbl->planarref_fb, 1.0); + + float prev_background_alpha = vedata->stl->g_data->background_alpha; + vedata->stl->g_data->background_alpha = 1.0f; + + /* Slight modification: we handle refraction as normal + * shading and don't do SSRefraction. */ + + DRW_draw_pass(psl->depth_pass_clip); + DRW_draw_pass(psl->depth_pass_clip_cull); + DRW_draw_pass(psl->refract_depth_pass); + DRW_draw_pass(psl->refract_depth_pass_cull); + + DRW_draw_pass(psl->probe_background); + EEVEE_create_minmax_buffer(vedata, tmp_planar_depth, layer); + EEVEE_occlusion_compute(sldata, vedata, tmp_planar_depth, layer); + + GPU_framebuffer_bind(fbl->planarref_fb); + + /* Shading pass */ + EEVEE_draw_default_passes(psl); + DRW_draw_pass(psl->material_pass); + DRW_draw_pass(psl->material_pass_cull); + DRW_draw_pass(psl->sss_pass); /* Only output standard pass */ + DRW_draw_pass(psl->sss_pass_cull); + DRW_draw_pass(psl->refract_pass); + + /* Transparent */ + if (DRW_state_is_image_render()) { + /* Do the reordering only for offline because it can be costly. */ + DRW_pass_sort_shgroup_z(psl->transparent_pass); + } + DRW_draw_pass(psl->transparent_pass); + + DRW_state_clip_planes_reset(); + + DRW_stats_group_end(); + + /* Restore */ + txl->planar_pool = tmp_planar_pool; + txl->planar_depth = tmp_planar_depth; + + vedata->stl->g_data->background_alpha = prev_background_alpha; } -static void eevee_lightbake_render_scene_to_planars( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) +static void eevee_lightbake_render_scene_to_planars(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata) { - EEVEE_BakeRenderData brdata = { - .vedata = vedata, - .sldata = sldata, - }; - - render_reflections(lightbake_render_scene_reflected, &brdata, sldata->probes->planar_data, sldata->probes->num_planar); + EEVEE_BakeRenderData brdata = { + .vedata = vedata, + .sldata = sldata, + }; + + render_reflections(lightbake_render_scene_reflected, + &brdata, + sldata->probes->planar_data, + sldata->probes->num_planar); } /** \} */ @@ -964,284 +1006,296 @@ static void eevee_lightbake_render_scene_to_planars( * \{ */ /* Glossy filter rt_color to light_cache->cube_tx.tex at index probe_idx */ -void EEVEE_lightbake_filter_glossy( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - struct GPUTexture *rt_color, struct GPUFrameBuffer *fb, - int probe_idx, float intensity, int maxlevel, float filter_quality, float firefly_fac) +void EEVEE_lightbake_filter_glossy(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *rt_color, + struct GPUFrameBuffer *fb, + int probe_idx, + float intensity, + int maxlevel, + float filter_quality, + float firefly_fac) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightCache *light_cache = vedata->stl->g_data->light_cache; - - float target_size = (float)GPU_texture_width(rt_color); - - /* Max lod used from the render target probe */ - pinfo->lod_rt_max = floorf(log2f(target_size)) - 2.0f; - pinfo->intensity_fac = intensity; - - /* Start fresh */ - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE - }); - - /* 2 - Let gpu create Mipmaps for Filtered Importance Sampling. */ - /* Bind next framebuffer to be able to gen. mips for probe_rt. */ - EEVEE_downsample_cube_buffer(vedata, rt_color, (int)(pinfo->lod_rt_max)); - - /* 3 - Render to probe array to the specified layer, do prefiltering. */ - int mipsize = GPU_texture_width(light_cache->cube_tx.tex); - for (int i = 0; i < maxlevel + 1; i++) { - float bias = (i == 0) ? -1.0f : 1.0f; - pinfo->texel_size = 1.0f / (float)mipsize; - pinfo->padding_size = (i == maxlevel) ? 0 : (float)(1 << (maxlevel - i - 1)); - pinfo->padding_size *= pinfo->texel_size; - pinfo->layer = probe_idx; - pinfo->roughness = i / (float)maxlevel; - pinfo->roughness *= pinfo->roughness; /* Disney Roughness */ - pinfo->roughness *= pinfo->roughness; /* Distribute Roughness accros lod more evenly */ - CLAMP(pinfo->roughness, 1e-8f, 0.99999f); /* Avoid artifacts */ + EEVEE_PassList *psl = vedata->psl; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightCache *light_cache = vedata->stl->g_data->light_cache; + + float target_size = (float)GPU_texture_width(rt_color); + + /* Max lod used from the render target probe */ + pinfo->lod_rt_max = floorf(log2f(target_size)) - 2.0f; + pinfo->intensity_fac = intensity; + + /* Start fresh */ + GPU_framebuffer_ensure_config(&fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_NONE}); + + /* 2 - Let gpu create Mipmaps for Filtered Importance Sampling. */ + /* Bind next framebuffer to be able to gen. mips for probe_rt. */ + EEVEE_downsample_cube_buffer(vedata, rt_color, (int)(pinfo->lod_rt_max)); + + /* 3 - Render to probe array to the specified layer, do prefiltering. */ + int mipsize = GPU_texture_width(light_cache->cube_tx.tex); + for (int i = 0; i < maxlevel + 1; i++) { + float bias = (i == 0) ? -1.0f : 1.0f; + pinfo->texel_size = 1.0f / (float)mipsize; + pinfo->padding_size = (i == maxlevel) ? 0 : (float)(1 << (maxlevel - i - 1)); + pinfo->padding_size *= pinfo->texel_size; + pinfo->layer = probe_idx; + pinfo->roughness = i / (float)maxlevel; + pinfo->roughness *= pinfo->roughness; /* Disney Roughness */ + pinfo->roughness *= pinfo->roughness; /* Distribute Roughness accros lod more evenly */ + CLAMP(pinfo->roughness, 1e-8f, 0.99999f); /* Avoid artifacts */ #if 1 /* Variable Sample count (fast) */ - switch (i) { - case 0: pinfo->samples_len = 1.0f; break; - case 1: pinfo->samples_len = 16.0f; break; - case 2: pinfo->samples_len = 32.0f; break; - case 3: pinfo->samples_len = 64.0f; break; - default: pinfo->samples_len = 128.0f; break; - } + switch (i) { + case 0: + pinfo->samples_len = 1.0f; + break; + case 1: + pinfo->samples_len = 16.0f; + break; + case 2: + pinfo->samples_len = 32.0f; + break; + case 3: + pinfo->samples_len = 64.0f; + break; + default: + pinfo->samples_len = 128.0f; + break; + } #else /* Constant Sample count (slow) */ - pinfo->samples_len = 1024.0f; + pinfo->samples_len = 1024.0f; #endif - /* Cannot go higher than HAMMERSLEY_SIZE */ - CLAMP(filter_quality, 1.0f, 8.0f); - pinfo->samples_len *= filter_quality; - - pinfo->samples_len_inv = 1.0f / pinfo->samples_len; - pinfo->lodfactor = bias + 0.5f * log((float)(target_size * target_size) * pinfo->samples_len_inv) / log(2); - pinfo->firefly_fac = (firefly_fac > 0.0) ? firefly_fac : 1e16; - - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE_MIP(light_cache->cube_tx.tex, i) - }); - GPU_framebuffer_bind(fb); - GPU_framebuffer_viewport_set(fb, 0, 0, mipsize, mipsize); - DRW_draw_pass(psl->probe_glossy_compute); - - mipsize /= 2; - CLAMP_MIN(mipsize, 1); - } + /* Cannot go higher than HAMMERSLEY_SIZE */ + CLAMP(filter_quality, 1.0f, 8.0f); + pinfo->samples_len *= filter_quality; + + pinfo->samples_len_inv = 1.0f / pinfo->samples_len; + pinfo->lodfactor = bias + + 0.5f * log((float)(target_size * target_size) * pinfo->samples_len_inv) / + log(2); + pinfo->firefly_fac = (firefly_fac > 0.0) ? firefly_fac : 1e16; + + GPU_framebuffer_ensure_config( + &fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE_MIP(light_cache->cube_tx.tex, i)}); + GPU_framebuffer_bind(fb); + GPU_framebuffer_viewport_set(fb, 0, 0, mipsize, mipsize); + DRW_draw_pass(psl->probe_glossy_compute); + + mipsize /= 2; + CLAMP_MIN(mipsize, 1); + } } /* Diffuse filter rt_color to light_cache->grid_tx.tex at index grid_offset */ -void EEVEE_lightbake_filter_diffuse( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - struct GPUTexture *rt_color, struct GPUFrameBuffer *fb, - int grid_offset, float intensity) +void EEVEE_lightbake_filter_diffuse(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *rt_color, + struct GPUFrameBuffer *fb, + int grid_offset, + float intensity) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightCache *light_cache = vedata->stl->g_data->light_cache; + EEVEE_PassList *psl = vedata->psl; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightCache *light_cache = vedata->stl->g_data->light_cache; - float target_size = (float)GPU_texture_width(rt_color); + float target_size = (float)GPU_texture_width(rt_color); - pinfo->intensity_fac = intensity; + pinfo->intensity_fac = intensity; - /* find cell position on the virtual 3D texture */ - /* NOTE : Keep in sync with load_irradiance_cell() */ + /* find cell position on the virtual 3D texture */ + /* NOTE : Keep in sync with load_irradiance_cell() */ #if defined(IRRADIANCE_SH_L2) - int size[2] = {3, 3}; + int size[2] = {3, 3}; #elif defined(IRRADIANCE_CUBEMAP) - int size[2] = {8, 8}; - pinfo->samples_len = 1024.0f; + int size[2] = {8, 8}; + pinfo->samples_len = 1024.0f; #elif defined(IRRADIANCE_HL2) - int size[2] = {3, 2}; - pinfo->samples_len = 1024.0f; + int size[2] = {3, 2}; + pinfo->samples_len = 1024.0f; #endif - int cell_per_row = GPU_texture_width(light_cache->grid_tx.tex) / size[0]; - int x = size[0] * (grid_offset % cell_per_row); - int y = size[1] * (grid_offset / cell_per_row); + int cell_per_row = GPU_texture_width(light_cache->grid_tx.tex) / size[0]; + int x = size[0] * (grid_offset % cell_per_row); + int y = size[1] * (grid_offset / cell_per_row); #ifndef IRRADIANCE_SH_L2 - /* Tweaking parameters to balance perf. vs precision */ - const float bias = 0.0f; - pinfo->samples_len_inv = 1.0f / pinfo->samples_len; - pinfo->lodfactor = bias + 0.5f * log((float)(target_size * target_size) * pinfo->samples_len_inv) / log(2); - pinfo->lod_rt_max = floorf(log2f(target_size)) - 2.0f; + /* Tweaking parameters to balance perf. vs precision */ + const float bias = 0.0f; + pinfo->samples_len_inv = 1.0f / pinfo->samples_len; + pinfo->lodfactor = bias + 0.5f * + log((float)(target_size * target_size) * pinfo->samples_len_inv) / + log(2); + pinfo->lod_rt_max = floorf(log2f(target_size)) - 2.0f; #else - pinfo->shres = 32; /* Less texture fetches & reduce branches */ - pinfo->lod_rt_max = 2.0f; /* Improve cache reuse */ + pinfo->shres = 32; /* Less texture fetches & reduce branches */ + pinfo->lod_rt_max = 2.0f; /* Improve cache reuse */ #endif - /* Start fresh */ - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE - }); - - /* 4 - Compute diffuse irradiance */ - EEVEE_downsample_cube_buffer(vedata, rt_color, (int)(pinfo->lod_rt_max)); - - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE_LAYER(light_cache->grid_tx.tex, 0) - }); - GPU_framebuffer_bind(fb); - GPU_framebuffer_viewport_set(fb, x, y, size[0], size[1]); - DRW_draw_pass(psl->probe_diffuse_compute); + /* Start fresh */ + GPU_framebuffer_ensure_config(&fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_NONE}); + + /* 4 - Compute diffuse irradiance */ + EEVEE_downsample_cube_buffer(vedata, rt_color, (int)(pinfo->lod_rt_max)); + + GPU_framebuffer_ensure_config( + &fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE_LAYER(light_cache->grid_tx.tex, 0)}); + GPU_framebuffer_bind(fb); + GPU_framebuffer_viewport_set(fb, x, y, size[0], size[1]); + DRW_draw_pass(psl->probe_diffuse_compute); } /* Filter rt_depth to light_cache->grid_tx.tex at index grid_offset */ -void EEVEE_lightbake_filter_visibility( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - struct GPUTexture *UNUSED(rt_depth), struct GPUFrameBuffer *fb, - int grid_offset, float clipsta, float clipend, - float vis_range, float vis_blur, int vis_size) +void EEVEE_lightbake_filter_visibility(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *UNUSED(rt_depth), + struct GPUFrameBuffer *fb, + int grid_offset, + float clipsta, + float clipend, + float vis_range, + float vis_blur, + int vis_size) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - LightCache *light_cache = vedata->stl->g_data->light_cache; - - pinfo->samples_len = 512.0f; /* TODO refine */ - pinfo->samples_len_inv = 1.0f / pinfo->samples_len; - pinfo->shres = vis_size; - pinfo->visibility_range = vis_range; - pinfo->visibility_blur = vis_blur; - pinfo->near_clip = -clipsta; - pinfo->far_clip = -clipend; - pinfo->texel_size = 1.0f / (float)vis_size; - - int cell_per_col = GPU_texture_height(light_cache->grid_tx.tex) / vis_size; - int cell_per_row = GPU_texture_width(light_cache->grid_tx.tex) / vis_size; - int x = vis_size * (grid_offset % cell_per_row); - int y = vis_size * ((grid_offset / cell_per_row) % cell_per_col); - int layer = 1 + ((grid_offset / cell_per_row) / cell_per_col); - - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE_LAYER(light_cache->grid_tx.tex, layer) - }); - GPU_framebuffer_bind(fb); - GPU_framebuffer_viewport_set(fb, x, y, vis_size, vis_size); - DRW_draw_pass(psl->probe_visibility_compute); + EEVEE_PassList *psl = vedata->psl; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + LightCache *light_cache = vedata->stl->g_data->light_cache; + + pinfo->samples_len = 512.0f; /* TODO refine */ + pinfo->samples_len_inv = 1.0f / pinfo->samples_len; + pinfo->shres = vis_size; + pinfo->visibility_range = vis_range; + pinfo->visibility_blur = vis_blur; + pinfo->near_clip = -clipsta; + pinfo->far_clip = -clipend; + pinfo->texel_size = 1.0f / (float)vis_size; + + int cell_per_col = GPU_texture_height(light_cache->grid_tx.tex) / vis_size; + int cell_per_row = GPU_texture_width(light_cache->grid_tx.tex) / vis_size; + int x = vis_size * (grid_offset % cell_per_row); + int y = vis_size * ((grid_offset / cell_per_row) % cell_per_col); + int layer = 1 + ((grid_offset / cell_per_row) / cell_per_col); + + GPU_framebuffer_ensure_config( + &fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE_LAYER(light_cache->grid_tx.tex, layer)}); + GPU_framebuffer_bind(fb); + GPU_framebuffer_viewport_set(fb, x, y, vis_size, vis_size); + DRW_draw_pass(psl->probe_visibility_compute); } /* Actually a simple downsampling */ static void downsample_planar(void *vedata, int level) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - - const float *size = DRW_viewport_size_get(); - copy_v2_v2(stl->g_data->planar_texel_size, size); - for (int i = 0; i < level - 1; ++i) { - stl->g_data->planar_texel_size[0] /= 2.0f; - stl->g_data->planar_texel_size[1] /= 2.0f; - min_ff(floorf(stl->g_data->planar_texel_size[0]), 1.0f); - min_ff(floorf(stl->g_data->planar_texel_size[1]), 1.0f); - } - invert_v2(stl->g_data->planar_texel_size); - - DRW_draw_pass(psl->probe_planar_downsample_ps); + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + + const float *size = DRW_viewport_size_get(); + copy_v2_v2(stl->g_data->planar_texel_size, size); + for (int i = 0; i < level - 1; ++i) { + stl->g_data->planar_texel_size[0] /= 2.0f; + stl->g_data->planar_texel_size[1] /= 2.0f; + min_ff(floorf(stl->g_data->planar_texel_size[0]), 1.0f); + min_ff(floorf(stl->g_data->planar_texel_size[1]), 1.0f); + } + invert_v2(stl->g_data->planar_texel_size); + + DRW_draw_pass(psl->probe_planar_downsample_ps); } static void EEVEE_lightbake_filter_planar(EEVEE_Data *vedata) { - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; - DRW_stats_group_start("Planar Probe Downsample"); + DRW_stats_group_start("Planar Probe Downsample"); - GPU_framebuffer_ensure_config(&fbl->planar_downsample_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->planar_pool) - }); + GPU_framebuffer_ensure_config(&fbl->planar_downsample_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->planar_pool)}); - GPU_framebuffer_recursive_downsample(fbl->planar_downsample_fb, MAX_PLANAR_LOD_LEVEL, &downsample_planar, vedata); - DRW_stats_group_end(); + GPU_framebuffer_recursive_downsample( + fbl->planar_downsample_fb, MAX_PLANAR_LOD_LEVEL, &downsample_planar, vedata); + DRW_stats_group_end(); } /** \} */ void EEVEE_lightprobes_refresh_planar(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_LightProbesInfo *pinfo = sldata->probes; - DRWMatrixState saved_mats; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_LightProbesInfo *pinfo = sldata->probes; + DRWMatrixState saved_mats; - if (pinfo->num_planar == 0) { - /* Disable SSR if we cannot read previous frame */ - common_data->ssr_toggle = vedata->stl->g_data->valid_double_buffer; - common_data->prb_num_planar = 0; - return; - } + if (pinfo->num_planar == 0) { + /* Disable SSR if we cannot read previous frame */ + common_data->ssr_toggle = vedata->stl->g_data->valid_double_buffer; + common_data->prb_num_planar = 0; + return; + } - /* We need to save the Matrices before overidding them */ - DRW_viewport_matrix_get_all(&saved_mats); + /* We need to save the Matrices before overidding them */ + DRW_viewport_matrix_get_all(&saved_mats); - /* Temporary Remove all planar reflections (avoid lag effect). */ - common_data->prb_num_planar = 0; - /* Turn off ssr to avoid black specular */ - common_data->ssr_toggle = false; - common_data->sss_toggle = false; + /* Temporary Remove all planar reflections (avoid lag effect). */ + common_data->prb_num_planar = 0; + /* Turn off ssr to avoid black specular */ + common_data->ssr_toggle = false; + common_data->sss_toggle = false; - common_data->ray_type = EEVEE_RAY_GLOSSY; - common_data->ray_depth = 1.0f; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + common_data->ray_type = EEVEE_RAY_GLOSSY; + common_data->ray_depth = 1.0f; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - /* Rendering happens here! */ - eevee_lightbake_render_scene_to_planars(sldata, vedata); + /* Rendering happens here! */ + eevee_lightbake_render_scene_to_planars(sldata, vedata); - /* Make sure no aditionnal visibility check runs after this. */ - pinfo->vis_data.collection = NULL; + /* Make sure no aditionnal visibility check runs after this. */ + pinfo->vis_data.collection = NULL; - DRW_uniformbuffer_update(sldata->planar_ubo, &sldata->probes->planar_data); + DRW_uniformbuffer_update(sldata->planar_ubo, &sldata->probes->planar_data); - /* Restore */ - common_data->prb_num_planar = pinfo->num_planar; - common_data->ssr_toggle = true; - common_data->sss_toggle = true; + /* Restore */ + common_data->prb_num_planar = pinfo->num_planar; + common_data->ssr_toggle = true; + common_data->sss_toggle = true; - /* Prefilter for SSR */ - if ((vedata->stl->effects->enabled_effects & EFFECT_SSR) != 0) { - EEVEE_lightbake_filter_planar(vedata); - } + /* Prefilter for SSR */ + if ((vedata->stl->effects->enabled_effects & EFFECT_SSR) != 0) { + EEVEE_lightbake_filter_planar(vedata); + } - DRW_viewport_matrix_override_set_all(&saved_mats); + DRW_viewport_matrix_override_set_all(&saved_mats); - if (DRW_state_is_image_render()) { - /* Sort transparents because planar reflections could have re-sorted them. */ - DRW_pass_sort_shgroup_z(vedata->psl->transparent_pass); - } + if (DRW_state_is_image_render()) { + /* Sort transparents because planar reflections could have re-sorted them. */ + DRW_pass_sort_shgroup_z(vedata->psl->transparent_pass); + } - /* Disable SSR if we cannot read previous frame */ - common_data->ssr_toggle = vedata->stl->g_data->valid_double_buffer; + /* Disable SSR if we cannot read previous frame */ + common_data->ssr_toggle = vedata->stl->g_data->valid_double_buffer; } void EEVEE_lightprobes_refresh(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - LightCache *light_cache = vedata->stl->g_data->light_cache; - - if ((light_cache->flag & LIGHTCACHE_UPDATE_WORLD) && - (light_cache->flag & LIGHTCACHE_BAKED) == 0) - { - DRWMatrixState saved_mats; - DRW_viewport_matrix_get_all(&saved_mats); - EEVEE_lightbake_update_world_quick(sldata, vedata, scene_eval); - DRW_viewport_matrix_override_set_all(&saved_mats); - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + LightCache *light_cache = vedata->stl->g_data->light_cache; + + if ((light_cache->flag & LIGHTCACHE_UPDATE_WORLD) && + (light_cache->flag & LIGHTCACHE_BAKED) == 0) { + DRWMatrixState saved_mats; + DRW_viewport_matrix_get_all(&saved_mats); + EEVEE_lightbake_update_world_quick(sldata, vedata, scene_eval); + DRW_viewport_matrix_override_set_all(&saved_mats); + } } void EEVEE_lightprobes_free(void) { - MEM_SAFE_FREE(e_data.format_probe_display_cube); - MEM_SAFE_FREE(e_data.format_probe_display_planar); - DRW_TEXTURE_FREE_SAFE(e_data.hammersley); - DRW_TEXTURE_FREE_SAFE(e_data.planar_pool_placeholder); - DRW_TEXTURE_FREE_SAFE(e_data.depth_placeholder); - DRW_TEXTURE_FREE_SAFE(e_data.depth_array_placeholder); + MEM_SAFE_FREE(e_data.format_probe_display_cube); + MEM_SAFE_FREE(e_data.format_probe_display_planar); + DRW_TEXTURE_FREE_SAFE(e_data.hammersley); + DRW_TEXTURE_FREE_SAFE(e_data.planar_pool_placeholder); + DRW_TEXTURE_FREE_SAFE(e_data.depth_placeholder); + DRW_TEXTURE_FREE_SAFE(e_data.depth_array_placeholder); } diff --git a/source/blender/draw/engines/eevee/eevee_lights.c b/source/blender/draw/engines/eevee/eevee_lights.c index b66563de80a..b118d7be3d0 100644 --- a/source/blender/draw/engines/eevee/eevee_lights.c +++ b/source/blender/draw/engines/eevee/eevee_lights.c @@ -38,13 +38,13 @@ // #define DEBUG_SHADOW_DISTRIBUTION static struct { - struct GPUShader *shadow_sh; - struct GPUShader *shadow_store_cube_sh[SHADOW_METHOD_MAX]; - struct GPUShader *shadow_store_cube_high_sh[SHADOW_METHOD_MAX]; - struct GPUShader *shadow_store_cascade_sh[SHADOW_METHOD_MAX]; - struct GPUShader *shadow_store_cascade_high_sh[SHADOW_METHOD_MAX]; - struct GPUShader *shadow_copy_cube_sh[SHADOW_METHOD_MAX]; - struct GPUShader *shadow_copy_cascade_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_sh; + struct GPUShader *shadow_store_cube_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_store_cube_high_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_store_cascade_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_store_cascade_high_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_copy_cube_sh[SHADOW_METHOD_MAX]; + struct GPUShader *shadow_copy_cascade_sh[SHADOW_METHOD_MAX]; } e_data = {NULL}; /* Engine data */ extern char datatoc_shadow_vert_glsl[]; @@ -60,671 +60,701 @@ static float light_attenuation_radius_get(Light *la, float light_threshold); /* *********** LIGHT BITS *********** */ static void lightbits_set_single(EEVEE_LightBits *bitf, uint idx, bool val) { - if (val) { - bitf->fields[idx / 8] |= (1 << (idx % 8)); - } - else { - bitf->fields[idx / 8] &= ~(1 << (idx % 8)); - } + if (val) { + bitf->fields[idx / 8] |= (1 << (idx % 8)); + } + else { + bitf->fields[idx / 8] &= ~(1 << (idx % 8)); + } } static void lightbits_set_all(EEVEE_LightBits *bitf, bool val) { - memset(bitf, (val) ? 0xFF : 0x00, sizeof(EEVEE_LightBits)); + memset(bitf, (val) ? 0xFF : 0x00, sizeof(EEVEE_LightBits)); } static void lightbits_or(EEVEE_LightBits *r, const EEVEE_LightBits *v) { - for (int i = 0; i < MAX_LIGHTBITS_FIELDS; ++i) { - r->fields[i] |= v->fields[i]; - } + for (int i = 0; i < MAX_LIGHTBITS_FIELDS; ++i) { + r->fields[i] |= v->fields[i]; + } } static bool lightbits_get(const EEVEE_LightBits *r, uint idx) { - return r->fields[idx / 8] & (1 << (idx % 8)); + return r->fields[idx / 8] & (1 << (idx % 8)); } -static void lightbits_convert( - EEVEE_LightBits *r, const EEVEE_LightBits *bitf, const int *light_bit_conv_table, uint table_length) +static void lightbits_convert(EEVEE_LightBits *r, + const EEVEE_LightBits *bitf, + const int *light_bit_conv_table, + uint table_length) { - for (int i = 0; i < table_length; ++i) { - if (lightbits_get(bitf, i) != 0) { - if (light_bit_conv_table[i] >= 0) { - r->fields[i / 8] |= (1 << (i % 8)); - } - } - } + for (int i = 0; i < table_length; ++i) { + if (lightbits_get(bitf, i) != 0) { + if (light_bit_conv_table[i] >= 0) { + r->fields[i / 8] |= (1 << (i % 8)); + } + } + } } /* *********** FUNCTIONS *********** */ void EEVEE_lights_init(EEVEE_ViewLayerData *sldata) { - const uint shadow_ubo_size = sizeof(EEVEE_Shadow) * MAX_SHADOW + - sizeof(EEVEE_ShadowCube) * MAX_SHADOW_CUBE + - sizeof(EEVEE_ShadowCascade) * MAX_SHADOW_CASCADE; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (!e_data.shadow_sh) { - e_data.shadow_sh = DRW_shader_create( - datatoc_shadow_vert_glsl, NULL, datatoc_shadow_frag_glsl, NULL); - } - - if (!sldata->lights) { - sldata->lights = MEM_callocN(sizeof(EEVEE_LightsInfo), "EEVEE_LightsInfo"); - sldata->light_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_Light) * MAX_LIGHT, NULL); - sldata->shadow_ubo = DRW_uniformbuffer_create(shadow_ubo_size, NULL); - sldata->shadow_render_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_ShadowRender), NULL); - - for (int i = 0; i < 2; ++i) { - sldata->shcasters_buffers[i].shadow_casters = MEM_callocN(sizeof(EEVEE_ShadowCaster) * SHADOW_CASTER_ALLOC_CHUNK, "EEVEE_ShadowCaster buf"); - sldata->shcasters_buffers[i].flags = MEM_callocN(sizeof(sldata->shcasters_buffers[0].flags) * SHADOW_CASTER_ALLOC_CHUNK, "EEVEE_shcast_buffer flags buf"); - sldata->shcasters_buffers[i].alloc_count = SHADOW_CASTER_ALLOC_CHUNK; - sldata->shcasters_buffers[i].count = 0; - } - - sldata->lights->shcaster_frontbuffer = &sldata->shcasters_buffers[0]; - sldata->lights->shcaster_backbuffer = &sldata->shcasters_buffers[1]; - } - - /* Flip buffers */ - SWAP(EEVEE_ShadowCasterBuffer *, sldata->lights->shcaster_frontbuffer, sldata->lights->shcaster_backbuffer); - - const int sh_method = scene_eval->eevee.shadow_method; - int sh_cube_size = scene_eval->eevee.shadow_cube_size; - int sh_cascade_size = scene_eval->eevee.shadow_cascade_size; - const bool sh_high_bitdepth = (scene_eval->eevee.flag & SCE_EEVEE_SHADOW_HIGH_BITDEPTH) != 0; - sldata->lights->soft_shadows = (scene_eval->eevee.flag & SCE_EEVEE_SHADOW_SOFT) != 0; - - EEVEE_LightsInfo *linfo = sldata->lights; - if ((linfo->shadow_cube_size != sh_cube_size) || - (linfo->shadow_method != sh_method) || - (linfo->shadow_high_bitdepth != sh_high_bitdepth)) - { - BLI_assert((sh_cube_size > 0) && (sh_cube_size <= 4096)); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_target); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_blur); - - /* Compute adequate size for the octahedral map. */ - linfo->shadow_cube_store_size = OCTAHEDRAL_SIZE_FROM_CUBESIZE(sh_cube_size); - - CLAMP(linfo->shadow_cube_store_size, 1, 4096); - CLAMP(sh_cube_size, 1, 4096); - - linfo->shadow_render_data.cube_texel_size = 1.0f / sh_cube_size; - } - - if ((linfo->shadow_cascade_size != sh_cascade_size) || - (linfo->shadow_method != sh_method) || - (linfo->shadow_high_bitdepth != sh_high_bitdepth)) - { - BLI_assert((sh_cascade_size > 0) && (sh_cascade_size <= 4096)); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_target); - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_blur); - - CLAMP(sh_cascade_size, 1, 4096); - } - - linfo->shadow_high_bitdepth = sh_high_bitdepth; - linfo->shadow_method = sh_method; - linfo->shadow_cube_size = sh_cube_size; - linfo->shadow_cascade_size = sh_cascade_size; - - /* only compile the ones needed. reduce startup time. */ - if ((sh_method == SHADOW_ESM) && !e_data.shadow_copy_cube_sh[SHADOW_ESM]) { - e_data.shadow_copy_cube_sh[SHADOW_ESM] = DRW_shader_create_fullscreen( - datatoc_shadow_copy_frag_glsl, - "#define ESM\n" - "#define COPY\n"); - e_data.shadow_copy_cascade_sh[SHADOW_ESM] = DRW_shader_create_fullscreen( - datatoc_shadow_copy_frag_glsl, - "#define ESM\n" - "#define COPY\n" - "#define CSM\n"); - } - else if ((sh_method == SHADOW_VSM) && !e_data.shadow_copy_cube_sh[SHADOW_VSM]) { - e_data.shadow_copy_cube_sh[SHADOW_VSM] = DRW_shader_create_fullscreen( - datatoc_shadow_copy_frag_glsl, - "#define VSM\n" - "#define COPY\n"); - e_data.shadow_copy_cascade_sh[SHADOW_VSM] = DRW_shader_create_fullscreen( - datatoc_shadow_copy_frag_glsl, - "#define VSM\n" - "#define COPY\n" - "#define CSM\n"); - } + const uint shadow_ubo_size = sizeof(EEVEE_Shadow) * MAX_SHADOW + + sizeof(EEVEE_ShadowCube) * MAX_SHADOW_CUBE + + sizeof(EEVEE_ShadowCascade) * MAX_SHADOW_CASCADE; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (!e_data.shadow_sh) { + e_data.shadow_sh = DRW_shader_create( + datatoc_shadow_vert_glsl, NULL, datatoc_shadow_frag_glsl, NULL); + } + + if (!sldata->lights) { + sldata->lights = MEM_callocN(sizeof(EEVEE_LightsInfo), "EEVEE_LightsInfo"); + sldata->light_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_Light) * MAX_LIGHT, NULL); + sldata->shadow_ubo = DRW_uniformbuffer_create(shadow_ubo_size, NULL); + sldata->shadow_render_ubo = DRW_uniformbuffer_create(sizeof(EEVEE_ShadowRender), NULL); + + for (int i = 0; i < 2; ++i) { + sldata->shcasters_buffers[i].shadow_casters = MEM_callocN( + sizeof(EEVEE_ShadowCaster) * SHADOW_CASTER_ALLOC_CHUNK, "EEVEE_ShadowCaster buf"); + sldata->shcasters_buffers[i].flags = MEM_callocN(sizeof(sldata->shcasters_buffers[0].flags) * + SHADOW_CASTER_ALLOC_CHUNK, + "EEVEE_shcast_buffer flags buf"); + sldata->shcasters_buffers[i].alloc_count = SHADOW_CASTER_ALLOC_CHUNK; + sldata->shcasters_buffers[i].count = 0; + } + + sldata->lights->shcaster_frontbuffer = &sldata->shcasters_buffers[0]; + sldata->lights->shcaster_backbuffer = &sldata->shcasters_buffers[1]; + } + + /* Flip buffers */ + SWAP(EEVEE_ShadowCasterBuffer *, + sldata->lights->shcaster_frontbuffer, + sldata->lights->shcaster_backbuffer); + + const int sh_method = scene_eval->eevee.shadow_method; + int sh_cube_size = scene_eval->eevee.shadow_cube_size; + int sh_cascade_size = scene_eval->eevee.shadow_cascade_size; + const bool sh_high_bitdepth = (scene_eval->eevee.flag & SCE_EEVEE_SHADOW_HIGH_BITDEPTH) != 0; + sldata->lights->soft_shadows = (scene_eval->eevee.flag & SCE_EEVEE_SHADOW_SOFT) != 0; + + EEVEE_LightsInfo *linfo = sldata->lights; + if ((linfo->shadow_cube_size != sh_cube_size) || (linfo->shadow_method != sh_method) || + (linfo->shadow_high_bitdepth != sh_high_bitdepth)) { + BLI_assert((sh_cube_size > 0) && (sh_cube_size <= 4096)); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_target); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_blur); + + /* Compute adequate size for the octahedral map. */ + linfo->shadow_cube_store_size = OCTAHEDRAL_SIZE_FROM_CUBESIZE(sh_cube_size); + + CLAMP(linfo->shadow_cube_store_size, 1, 4096); + CLAMP(sh_cube_size, 1, 4096); + + linfo->shadow_render_data.cube_texel_size = 1.0f / sh_cube_size; + } + + if ((linfo->shadow_cascade_size != sh_cascade_size) || (linfo->shadow_method != sh_method) || + (linfo->shadow_high_bitdepth != sh_high_bitdepth)) { + BLI_assert((sh_cascade_size > 0) && (sh_cascade_size <= 4096)); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_target); + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_blur); + + CLAMP(sh_cascade_size, 1, 4096); + } + + linfo->shadow_high_bitdepth = sh_high_bitdepth; + linfo->shadow_method = sh_method; + linfo->shadow_cube_size = sh_cube_size; + linfo->shadow_cascade_size = sh_cascade_size; + + /* only compile the ones needed. reduce startup time. */ + if ((sh_method == SHADOW_ESM) && !e_data.shadow_copy_cube_sh[SHADOW_ESM]) { + e_data.shadow_copy_cube_sh[SHADOW_ESM] = DRW_shader_create_fullscreen( + datatoc_shadow_copy_frag_glsl, + "#define ESM\n" + "#define COPY\n"); + e_data.shadow_copy_cascade_sh[SHADOW_ESM] = DRW_shader_create_fullscreen( + datatoc_shadow_copy_frag_glsl, + "#define ESM\n" + "#define COPY\n" + "#define CSM\n"); + } + else if ((sh_method == SHADOW_VSM) && !e_data.shadow_copy_cube_sh[SHADOW_VSM]) { + e_data.shadow_copy_cube_sh[SHADOW_VSM] = DRW_shader_create_fullscreen( + datatoc_shadow_copy_frag_glsl, + "#define VSM\n" + "#define COPY\n"); + e_data.shadow_copy_cascade_sh[SHADOW_VSM] = DRW_shader_create_fullscreen( + datatoc_shadow_copy_frag_glsl, + "#define VSM\n" + "#define COPY\n" + "#define CSM\n"); + } } static GPUShader *eevee_lights_get_store_sh(int shadow_method, bool high_blur, bool cascade) { - GPUShader **shader; - - if (cascade) { - shader = (high_blur) ? &e_data.shadow_store_cascade_high_sh[shadow_method] - : &e_data.shadow_store_cascade_sh[shadow_method]; - } - else { - shader = (high_blur) ? &e_data.shadow_store_cube_high_sh[shadow_method] - : &e_data.shadow_store_cube_sh[shadow_method]; - } - - if (*shader == NULL) { - DynStr *ds_frag = BLI_dynstr_new(); - BLI_dynstr_append(ds_frag, datatoc_concentric_samples_lib_glsl); - BLI_dynstr_append(ds_frag, datatoc_shadow_store_frag_glsl); - char *store_shadow_shader_str = BLI_dynstr_get_cstring(ds_frag); - BLI_dynstr_free(ds_frag); - - ds_frag = BLI_dynstr_new(); - BLI_dynstr_append(ds_frag, (shadow_method == SHADOW_VSM) ? "#define VSM\n" : "#define ESM\n"); - if (high_blur) { - BLI_dynstr_append(ds_frag, "#define HIGH_BLUR\n"); - } - if (cascade) { - BLI_dynstr_append(ds_frag, "#define CSM\n"); - } - char *define_str = BLI_dynstr_get_cstring(ds_frag); - BLI_dynstr_free(ds_frag); - - *shader = DRW_shader_create_fullscreen( - store_shadow_shader_str, define_str); - - MEM_freeN(store_shadow_shader_str); - MEM_freeN(define_str); - } - - return *shader; + GPUShader **shader; + + if (cascade) { + shader = (high_blur) ? &e_data.shadow_store_cascade_high_sh[shadow_method] : + &e_data.shadow_store_cascade_sh[shadow_method]; + } + else { + shader = (high_blur) ? &e_data.shadow_store_cube_high_sh[shadow_method] : + &e_data.shadow_store_cube_sh[shadow_method]; + } + + if (*shader == NULL) { + DynStr *ds_frag = BLI_dynstr_new(); + BLI_dynstr_append(ds_frag, datatoc_concentric_samples_lib_glsl); + BLI_dynstr_append(ds_frag, datatoc_shadow_store_frag_glsl); + char *store_shadow_shader_str = BLI_dynstr_get_cstring(ds_frag); + BLI_dynstr_free(ds_frag); + + ds_frag = BLI_dynstr_new(); + BLI_dynstr_append(ds_frag, (shadow_method == SHADOW_VSM) ? "#define VSM\n" : "#define ESM\n"); + if (high_blur) { + BLI_dynstr_append(ds_frag, "#define HIGH_BLUR\n"); + } + if (cascade) { + BLI_dynstr_append(ds_frag, "#define CSM\n"); + } + char *define_str = BLI_dynstr_get_cstring(ds_frag); + BLI_dynstr_free(ds_frag); + + *shader = DRW_shader_create_fullscreen(store_shadow_shader_str, define_str); + + MEM_freeN(store_shadow_shader_str); + MEM_freeN(define_str); + } + + return *shader; } -static DRWPass *eevee_lights_cube_store_pass_get(EEVEE_PassList *psl, EEVEE_ViewLayerData *sldata, int shadow_method, int shadow_samples_len) +static DRWPass *eevee_lights_cube_store_pass_get(EEVEE_PassList *psl, + EEVEE_ViewLayerData *sldata, + int shadow_method, + int shadow_samples_len) { - bool high_blur = shadow_samples_len > 16; - DRWPass **pass = (high_blur) ? &psl->shadow_cube_store_pass : &psl->shadow_cube_store_high_pass; - if (*pass == NULL) { - EEVEE_LightsInfo *linfo = sldata->lights; - *pass = DRW_pass_create("Shadow Cube Storage Pass", DRW_STATE_WRITE_COLOR); - GPUShader *shader = eevee_lights_get_store_sh(shadow_method, high_blur, false); - DRWShadingGroup *grp = DRW_shgroup_create(shader, *pass); - DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cube_blur); - DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); - DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - return *pass; + bool high_blur = shadow_samples_len > 16; + DRWPass **pass = (high_blur) ? &psl->shadow_cube_store_pass : &psl->shadow_cube_store_high_pass; + if (*pass == NULL) { + EEVEE_LightsInfo *linfo = sldata->lights; + *pass = DRW_pass_create("Shadow Cube Storage Pass", DRW_STATE_WRITE_COLOR); + GPUShader *shader = eevee_lights_get_store_sh(shadow_method, high_blur, false); + DRWShadingGroup *grp = DRW_shgroup_create(shader, *pass); + DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cube_blur); + DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); + DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + return *pass; } -static DRWPass *eevee_lights_cascade_store_pass_get(EEVEE_PassList *psl, EEVEE_ViewLayerData *sldata, int shadow_method, int shadow_samples_len) +static DRWPass *eevee_lights_cascade_store_pass_get(EEVEE_PassList *psl, + EEVEE_ViewLayerData *sldata, + int shadow_method, + int shadow_samples_len) { - bool high_blur = shadow_samples_len > 16; - DRWPass **pass = (high_blur) ? &psl->shadow_cascade_store_pass : &psl->shadow_cascade_store_high_pass; - if (*pass == NULL) { - EEVEE_LightsInfo *linfo = sldata->lights; - *pass = DRW_pass_create("Shadow Cascade Storage Pass", DRW_STATE_WRITE_COLOR); - GPUShader *shader = eevee_lights_get_store_sh(shadow_method, high_blur, true); - DRWShadingGroup *grp = DRW_shgroup_create(shader, *pass); - DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cascade_blur); - DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); - DRW_shgroup_uniform_int(grp, "cascadeId", &linfo->current_shadow_cascade, 1); - DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - return *pass; + bool high_blur = shadow_samples_len > 16; + DRWPass **pass = (high_blur) ? &psl->shadow_cascade_store_pass : + &psl->shadow_cascade_store_high_pass; + if (*pass == NULL) { + EEVEE_LightsInfo *linfo = sldata->lights; + *pass = DRW_pass_create("Shadow Cascade Storage Pass", DRW_STATE_WRITE_COLOR); + GPUShader *shader = eevee_lights_get_store_sh(shadow_method, high_blur, true); + DRWShadingGroup *grp = DRW_shgroup_create(shader, *pass); + DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cascade_blur); + DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); + DRW_shgroup_uniform_int(grp, "cascadeId", &linfo->current_shadow_cascade, 1); + DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + return *pass; } void EEVEE_lights_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_LightsInfo *linfo = sldata->lights; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PassList *psl = vedata->psl; - - linfo->shcaster_frontbuffer->count = 0; - linfo->num_light = 0; - linfo->num_cube_layer = 0; - linfo->num_cascade_layer = 0; - linfo->gpu_cube_len = linfo->gpu_cascade_len = linfo->gpu_shadow_len = 0; - linfo->cpu_cube_len = linfo->cpu_cascade_len = 0; - memset(linfo->light_ref, 0, sizeof(linfo->light_ref)); - memset(linfo->shadow_cube_ref, 0, sizeof(linfo->shadow_cube_ref)); - memset(linfo->shadow_cascade_ref, 0, sizeof(linfo->shadow_cascade_ref)); - memset(linfo->new_shadow_id, -1, sizeof(linfo->new_shadow_id)); - - /* Shadow Casters: Reset flags. */ - memset(linfo->shcaster_backbuffer->flags, (char)SHADOW_CASTER_PRUNED, linfo->shcaster_backbuffer->alloc_count); - memset(linfo->shcaster_frontbuffer->flags, 0x00, linfo->shcaster_frontbuffer->alloc_count); - - psl->shadow_cube_store_pass = NULL; - psl->shadow_cube_store_high_pass = NULL; - psl->shadow_cascade_store_pass = NULL; - psl->shadow_cascade_store_high_pass = NULL; - - { - psl->shadow_cube_copy_pass = DRW_pass_create("Shadow Copy Pass", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - e_data.shadow_copy_cube_sh[linfo->shadow_method], psl->shadow_cube_copy_pass); - DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cube_target); - DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); - DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); - DRW_shgroup_uniform_int(grp, "faceId", &linfo->current_shadow_face, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - - { - psl->shadow_cascade_copy_pass = DRW_pass_create("Shadow Cascade Copy Pass", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create( - e_data.shadow_copy_cascade_sh[linfo->shadow_method], psl->shadow_cascade_copy_pass); - DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cascade_target); - DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); - DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); - DRW_shgroup_uniform_int(grp, "cascadeId", &linfo->current_shadow_cascade, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - psl->shadow_pass = DRW_pass_create("Shadow Pass", state); - - stl->g_data->shadow_shgrp = DRW_shgroup_create(e_data.shadow_sh, psl->shadow_pass); - } + EEVEE_LightsInfo *linfo = sldata->lights; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PassList *psl = vedata->psl; + + linfo->shcaster_frontbuffer->count = 0; + linfo->num_light = 0; + linfo->num_cube_layer = 0; + linfo->num_cascade_layer = 0; + linfo->gpu_cube_len = linfo->gpu_cascade_len = linfo->gpu_shadow_len = 0; + linfo->cpu_cube_len = linfo->cpu_cascade_len = 0; + memset(linfo->light_ref, 0, sizeof(linfo->light_ref)); + memset(linfo->shadow_cube_ref, 0, sizeof(linfo->shadow_cube_ref)); + memset(linfo->shadow_cascade_ref, 0, sizeof(linfo->shadow_cascade_ref)); + memset(linfo->new_shadow_id, -1, sizeof(linfo->new_shadow_id)); + + /* Shadow Casters: Reset flags. */ + memset(linfo->shcaster_backbuffer->flags, + (char)SHADOW_CASTER_PRUNED, + linfo->shcaster_backbuffer->alloc_count); + memset(linfo->shcaster_frontbuffer->flags, 0x00, linfo->shcaster_frontbuffer->alloc_count); + + psl->shadow_cube_store_pass = NULL; + psl->shadow_cube_store_high_pass = NULL; + psl->shadow_cascade_store_pass = NULL; + psl->shadow_cascade_store_high_pass = NULL; + + { + psl->shadow_cube_copy_pass = DRW_pass_create("Shadow Copy Pass", DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(e_data.shadow_copy_cube_sh[linfo->shadow_method], + psl->shadow_cube_copy_pass); + DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cube_target); + DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); + DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); + DRW_shgroup_uniform_int(grp, "faceId", &linfo->current_shadow_face, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + + { + psl->shadow_cascade_copy_pass = DRW_pass_create("Shadow Cascade Copy Pass", + DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(e_data.shadow_copy_cascade_sh[linfo->shadow_method], + psl->shadow_cascade_copy_pass); + DRW_shgroup_uniform_texture_ref(grp, "shadowTexture", &sldata->shadow_cascade_target); + DRW_shgroup_uniform_block(grp, "shadow_render_block", sldata->shadow_render_ubo); + DRW_shgroup_uniform_float(grp, "shadowFilterSize", &linfo->filter_size, 1); + DRW_shgroup_uniform_int(grp, "cascadeId", &linfo->current_shadow_cascade, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + psl->shadow_pass = DRW_pass_create("Shadow Pass", state); + + stl->g_data->shadow_shgrp = DRW_shgroup_create(e_data.shadow_sh, psl->shadow_pass); + } } void EEVEE_lights_cache_add(EEVEE_ViewLayerData *sldata, Object *ob) { - EEVEE_LightsInfo *linfo = sldata->lights; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const float threshold = draw_ctx->scene->eevee.light_threshold; - /* Step 1 find all lights in the scene and setup them */ - if (linfo->num_light >= MAX_LIGHT) { - printf("Too many lights in the scene !!!\n"); - } - else { - Light *la = (Light *)ob->data; - - /* Early out if light has no power. */ - if (la->energy == 0.0f || is_zero_v3(&la->r)) { - return; - } - - EEVEE_Light *evli = linfo->light_data + linfo->num_light; - eevee_light_setup(ob, evli); - - /* We do not support shadowmaps for dupli lights. */ - if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { - linfo->num_light++; - return; - } - - EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); - - /* Save previous shadow id. */ - int prev_cube_sh_id = led->prev_cube_shadow_id; - - /* Default light without shadows */ - led->data.ld.shadow_id = -1; - led->prev_cube_shadow_id = -1; - - if (la->mode & LA_SHADOW) { - if (la->type == LA_SUN) { - int cascade_nbr = la->cascade_count; - - if ((linfo->gpu_cascade_len + 1) <= MAX_SHADOW_CASCADE) { - /* Save Light object. */ - linfo->shadow_cascade_ref[linfo->cpu_cascade_len] = ob; - - /* Store indices. */ - EEVEE_ShadowCascadeData *data = &led->data.scad; - data->shadow_id = linfo->gpu_shadow_len; - data->cascade_id = linfo->gpu_cascade_len; - data->layer_id = linfo->num_cascade_layer; - - /* Increment indices. */ - linfo->gpu_shadow_len += 1; - linfo->gpu_cascade_len += 1; - linfo->num_cascade_layer += cascade_nbr; - - linfo->cpu_cascade_len += 1; - } - } - else if (la->type == LA_SPOT || la->type == LA_LOCAL || la->type == LA_AREA) { - if ((linfo->gpu_cube_len + 1) <= MAX_SHADOW_CUBE) { - /* Save Light object. */ - linfo->shadow_cube_ref[linfo->cpu_cube_len] = ob; - - /* For light update tracking. */ - if ((prev_cube_sh_id >= 0) && - (prev_cube_sh_id < linfo->shcaster_backbuffer->count)) - { - linfo->new_shadow_id[prev_cube_sh_id] = linfo->cpu_cube_len; - } - led->prev_cube_shadow_id = linfo->cpu_cube_len; - - /* Saving light bounds for later. */ - BLI_assert(linfo->cpu_cube_len >= 0 && linfo->cpu_cube_len < MAX_LIGHT); - copy_v3_v3(linfo->shadow_bounds[linfo->cpu_cube_len].center, ob->obmat[3]); - linfo->shadow_bounds[linfo->cpu_cube_len].radius = light_attenuation_radius_get(la, threshold); - - EEVEE_ShadowCubeData *data = &led->data.scd; - /* Store indices. */ - data->shadow_id = linfo->gpu_shadow_len; - data->cube_id = linfo->gpu_cube_len; - data->layer_id = linfo->num_cube_layer; - - /* Increment indices. */ - linfo->gpu_shadow_len += 1; - linfo->gpu_cube_len += 1; - linfo->num_cube_layer += 1; - - linfo->cpu_cube_len += 1; - } - } - } - - led->data.ld.light_id = linfo->num_light; - linfo->light_ref[linfo->num_light] = ob; - linfo->num_light++; - } + EEVEE_LightsInfo *linfo = sldata->lights; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const float threshold = draw_ctx->scene->eevee.light_threshold; + /* Step 1 find all lights in the scene and setup them */ + if (linfo->num_light >= MAX_LIGHT) { + printf("Too many lights in the scene !!!\n"); + } + else { + Light *la = (Light *)ob->data; + + /* Early out if light has no power. */ + if (la->energy == 0.0f || is_zero_v3(&la->r)) { + return; + } + + EEVEE_Light *evli = linfo->light_data + linfo->num_light; + eevee_light_setup(ob, evli); + + /* We do not support shadowmaps for dupli lights. */ + if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { + linfo->num_light++; + return; + } + + EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); + + /* Save previous shadow id. */ + int prev_cube_sh_id = led->prev_cube_shadow_id; + + /* Default light without shadows */ + led->data.ld.shadow_id = -1; + led->prev_cube_shadow_id = -1; + + if (la->mode & LA_SHADOW) { + if (la->type == LA_SUN) { + int cascade_nbr = la->cascade_count; + + if ((linfo->gpu_cascade_len + 1) <= MAX_SHADOW_CASCADE) { + /* Save Light object. */ + linfo->shadow_cascade_ref[linfo->cpu_cascade_len] = ob; + + /* Store indices. */ + EEVEE_ShadowCascadeData *data = &led->data.scad; + data->shadow_id = linfo->gpu_shadow_len; + data->cascade_id = linfo->gpu_cascade_len; + data->layer_id = linfo->num_cascade_layer; + + /* Increment indices. */ + linfo->gpu_shadow_len += 1; + linfo->gpu_cascade_len += 1; + linfo->num_cascade_layer += cascade_nbr; + + linfo->cpu_cascade_len += 1; + } + } + else if (la->type == LA_SPOT || la->type == LA_LOCAL || la->type == LA_AREA) { + if ((linfo->gpu_cube_len + 1) <= MAX_SHADOW_CUBE) { + /* Save Light object. */ + linfo->shadow_cube_ref[linfo->cpu_cube_len] = ob; + + /* For light update tracking. */ + if ((prev_cube_sh_id >= 0) && (prev_cube_sh_id < linfo->shcaster_backbuffer->count)) { + linfo->new_shadow_id[prev_cube_sh_id] = linfo->cpu_cube_len; + } + led->prev_cube_shadow_id = linfo->cpu_cube_len; + + /* Saving light bounds for later. */ + BLI_assert(linfo->cpu_cube_len >= 0 && linfo->cpu_cube_len < MAX_LIGHT); + copy_v3_v3(linfo->shadow_bounds[linfo->cpu_cube_len].center, ob->obmat[3]); + linfo->shadow_bounds[linfo->cpu_cube_len].radius = light_attenuation_radius_get( + la, threshold); + + EEVEE_ShadowCubeData *data = &led->data.scd; + /* Store indices. */ + data->shadow_id = linfo->gpu_shadow_len; + data->cube_id = linfo->gpu_cube_len; + data->layer_id = linfo->num_cube_layer; + + /* Increment indices. */ + linfo->gpu_shadow_len += 1; + linfo->gpu_cube_len += 1; + linfo->num_cube_layer += 1; + + linfo->cpu_cube_len += 1; + } + } + } + + led->data.ld.light_id = linfo->num_light; + linfo->light_ref[linfo->num_light] = ob; + linfo->num_light++; + } } /* Add a shadow caster to the shadowpasses */ -void EEVEE_lights_cache_shcaster_add( - EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_StorageList *stl, struct GPUBatch *geom, Object *ob) +void EEVEE_lights_cache_shcaster_add(EEVEE_ViewLayerData *UNUSED(sldata), + EEVEE_StorageList *stl, + struct GPUBatch *geom, + Object *ob) { - DRW_shgroup_call_object_add( - stl->g_data->shadow_shgrp, - geom, ob); + DRW_shgroup_call_object_add(stl->g_data->shadow_shgrp, geom, ob); } -void EEVEE_lights_cache_shcaster_material_add( - EEVEE_ViewLayerData *sldata, EEVEE_PassList *psl, struct GPUMaterial *gpumat, - struct GPUBatch *geom, struct Object *ob, float *alpha_threshold) +void EEVEE_lights_cache_shcaster_material_add(EEVEE_ViewLayerData *sldata, + EEVEE_PassList *psl, + struct GPUMaterial *gpumat, + struct GPUBatch *geom, + struct Object *ob, + float *alpha_threshold) { - /* TODO / PERF : reuse the same shading group for objects with the same material */ - DRWShadingGroup *grp = DRW_shgroup_material_create(gpumat, psl->shadow_pass); - - if (grp == NULL) { - return; - } - - /* Grrr needed for correctness but not 99% of the time not needed. - * TODO detect when needed? */ - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - if (alpha_threshold != NULL) { - DRW_shgroup_uniform_float(grp, "alphaThreshold", alpha_threshold, 1); - } - - DRW_shgroup_call_object_add(grp, geom, ob); + /* TODO / PERF : reuse the same shading group for objects with the same material */ + DRWShadingGroup *grp = DRW_shgroup_material_create(gpumat, psl->shadow_pass); + + if (grp == NULL) { + return; + } + + /* Grrr needed for correctness but not 99% of the time not needed. + * TODO detect when needed? */ + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + if (alpha_threshold != NULL) { + DRW_shgroup_uniform_float(grp, "alphaThreshold", alpha_threshold, 1); + } + + DRW_shgroup_call_object_add(grp, geom, ob); } /* Make that object update shadow casting lights inside its influence bounding box. */ void EEVEE_lights_cache_shcaster_object_add(EEVEE_ViewLayerData *sldata, Object *ob) { - if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { - /* TODO: Special case for dupli objects because we cannot save the object pointer. */ - return; - } - - EEVEE_ObjectEngineData *oedata = EEVEE_object_data_ensure(ob); - EEVEE_LightsInfo *linfo = sldata->lights; - EEVEE_ShadowCasterBuffer *backbuffer = linfo->shcaster_backbuffer; - EEVEE_ShadowCasterBuffer *frontbuffer = linfo->shcaster_frontbuffer; - int past_id = oedata->shadow_caster_id; - - /* Update flags in backbuffer. */ - if (past_id > -1 && past_id < backbuffer->count) { - backbuffer->flags[past_id] &= ~SHADOW_CASTER_PRUNED; - - if (oedata->need_update) { - backbuffer->flags[past_id] |= SHADOW_CASTER_UPDATED; - } - } - - /* Update id. */ - oedata->shadow_caster_id = frontbuffer->count++; - - /* Make sure shadow_casters is big enough. */ - if (oedata->shadow_caster_id >= frontbuffer->alloc_count) { - frontbuffer->alloc_count += SHADOW_CASTER_ALLOC_CHUNK; - frontbuffer->shadow_casters = MEM_reallocN(frontbuffer->shadow_casters, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); - frontbuffer->flags = MEM_reallocN(frontbuffer->flags, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); - } - - EEVEE_ShadowCaster *shcaster = frontbuffer->shadow_casters + oedata->shadow_caster_id; - - if (oedata->need_update) { - frontbuffer->flags[oedata->shadow_caster_id] = SHADOW_CASTER_UPDATED; - } - - /* Update World AABB in frontbuffer. */ - BoundBox *bb = BKE_object_boundbox_get(ob); - float min[3], max[3]; - INIT_MINMAX(min, max); - for (int i = 0; i < 8; ++i) { - float vec[3]; - copy_v3_v3(vec, bb->vec[i]); - mul_m4_v3(ob->obmat, vec); - minmax_v3v3_v3(min, max, vec); - } - - EEVEE_BoundBox *aabb = &shcaster->bbox; - add_v3_v3v3(aabb->center, min, max); - mul_v3_fl(aabb->center, 0.5f); - sub_v3_v3v3(aabb->halfdim, aabb->center, max); - - aabb->halfdim[0] = fabsf(aabb->halfdim[0]); - aabb->halfdim[1] = fabsf(aabb->halfdim[1]); - aabb->halfdim[2] = fabsf(aabb->halfdim[2]); - - oedata->need_update = false; + if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { + /* TODO: Special case for dupli objects because we cannot save the object pointer. */ + return; + } + + EEVEE_ObjectEngineData *oedata = EEVEE_object_data_ensure(ob); + EEVEE_LightsInfo *linfo = sldata->lights; + EEVEE_ShadowCasterBuffer *backbuffer = linfo->shcaster_backbuffer; + EEVEE_ShadowCasterBuffer *frontbuffer = linfo->shcaster_frontbuffer; + int past_id = oedata->shadow_caster_id; + + /* Update flags in backbuffer. */ + if (past_id > -1 && past_id < backbuffer->count) { + backbuffer->flags[past_id] &= ~SHADOW_CASTER_PRUNED; + + if (oedata->need_update) { + backbuffer->flags[past_id] |= SHADOW_CASTER_UPDATED; + } + } + + /* Update id. */ + oedata->shadow_caster_id = frontbuffer->count++; + + /* Make sure shadow_casters is big enough. */ + if (oedata->shadow_caster_id >= frontbuffer->alloc_count) { + frontbuffer->alloc_count += SHADOW_CASTER_ALLOC_CHUNK; + frontbuffer->shadow_casters = MEM_reallocN( + frontbuffer->shadow_casters, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); + frontbuffer->flags = MEM_reallocN(frontbuffer->flags, + sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); + } + + EEVEE_ShadowCaster *shcaster = frontbuffer->shadow_casters + oedata->shadow_caster_id; + + if (oedata->need_update) { + frontbuffer->flags[oedata->shadow_caster_id] = SHADOW_CASTER_UPDATED; + } + + /* Update World AABB in frontbuffer. */ + BoundBox *bb = BKE_object_boundbox_get(ob); + float min[3], max[3]; + INIT_MINMAX(min, max); + for (int i = 0; i < 8; ++i) { + float vec[3]; + copy_v3_v3(vec, bb->vec[i]); + mul_m4_v3(ob->obmat, vec); + minmax_v3v3_v3(min, max, vec); + } + + EEVEE_BoundBox *aabb = &shcaster->bbox; + add_v3_v3v3(aabb->center, min, max); + mul_v3_fl(aabb->center, 0.5f); + sub_v3_v3v3(aabb->halfdim, aabb->center, max); + + aabb->halfdim[0] = fabsf(aabb->halfdim[0]); + aabb->halfdim[1] = fabsf(aabb->halfdim[1]); + aabb->halfdim[2] = fabsf(aabb->halfdim[2]); + + oedata->need_update = false; } void EEVEE_lights_cache_finish(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_LightsInfo *linfo = sldata->lights; - eGPUTextureFormat shadow_pool_format = GPU_R32F; - - sldata->common_data.la_num_light = linfo->num_light; - - /* Setup enough layers. */ - /* Free textures if number mismatch. */ - if (linfo->num_cube_layer != linfo->cache_num_cube_layer) { - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); - linfo->cache_num_cube_layer = linfo->num_cube_layer; - linfo->update_flag |= LIGHT_UPDATE_SHADOW_CUBE; - } - - if (linfo->num_cascade_layer != linfo->cache_num_cascade_layer) { - DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); - linfo->cache_num_cascade_layer = linfo->num_cascade_layer; - } - - switch (linfo->shadow_method) { - case SHADOW_ESM: shadow_pool_format = ((linfo->shadow_high_bitdepth) ? GPU_R32F : GPU_R16F); break; - case SHADOW_VSM: shadow_pool_format = ((linfo->shadow_high_bitdepth) ? GPU_RG32F : GPU_RG16F); break; - default: - BLI_assert(!"Incorrect Shadow Method"); - break; - } - - /* Cubemaps */ - if (!sldata->shadow_cube_target) { - sldata->shadow_cube_target = DRW_texture_create_cube( - linfo->shadow_cube_size, GPU_DEPTH_COMPONENT24, 0, NULL); - sldata->shadow_cube_blur = DRW_texture_create_cube( - linfo->shadow_cube_size, shadow_pool_format, DRW_TEX_FILTER, NULL); - } - if (!sldata->shadow_cube_pool) { - sldata->shadow_cube_pool = DRW_texture_create_2d_array( - linfo->shadow_cube_store_size, linfo->shadow_cube_store_size, max_ii(1, linfo->num_cube_layer), - shadow_pool_format, DRW_TEX_FILTER, NULL); - } - GPU_framebuffer_ensure_config(&sldata->shadow_cube_target_fb, { - GPU_ATTACHMENT_TEXTURE(sldata->shadow_cube_target) - }); - GPU_framebuffer_ensure_config(&sldata->shadow_cube_store_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(sldata->shadow_cube_pool) - }); - - /* CSM */ - if (!sldata->shadow_cascade_target) { - sldata->shadow_cascade_target = DRW_texture_create_2d_array( - linfo->shadow_cascade_size, linfo->shadow_cascade_size, MAX_CASCADE_NUM, GPU_DEPTH_COMPONENT24, 0, NULL); - sldata->shadow_cascade_blur = DRW_texture_create_2d_array( - linfo->shadow_cascade_size, linfo->shadow_cascade_size, MAX_CASCADE_NUM, shadow_pool_format, DRW_TEX_FILTER, NULL); - } - if (!sldata->shadow_cascade_pool) { - sldata->shadow_cascade_pool = DRW_texture_create_2d_array( - linfo->shadow_cascade_size, linfo->shadow_cascade_size, max_ii(1, linfo->num_cascade_layer), - shadow_pool_format, DRW_TEX_FILTER, NULL); - } - GPU_framebuffer_ensure_config(&sldata->shadow_cascade_target_fb, { - GPU_ATTACHMENT_TEXTURE(sldata->shadow_cascade_target) - }); - GPU_framebuffer_ensure_config(&sldata->shadow_cascade_store_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(sldata->shadow_cascade_pool) - }); - - /* Update Lights UBOs. */ - EEVEE_lights_update(sldata, vedata); + EEVEE_LightsInfo *linfo = sldata->lights; + eGPUTextureFormat shadow_pool_format = GPU_R32F; + + sldata->common_data.la_num_light = linfo->num_light; + + /* Setup enough layers. */ + /* Free textures if number mismatch. */ + if (linfo->num_cube_layer != linfo->cache_num_cube_layer) { + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cube_pool); + linfo->cache_num_cube_layer = linfo->num_cube_layer; + linfo->update_flag |= LIGHT_UPDATE_SHADOW_CUBE; + } + + if (linfo->num_cascade_layer != linfo->cache_num_cascade_layer) { + DRW_TEXTURE_FREE_SAFE(sldata->shadow_cascade_pool); + linfo->cache_num_cascade_layer = linfo->num_cascade_layer; + } + + switch (linfo->shadow_method) { + case SHADOW_ESM: + shadow_pool_format = ((linfo->shadow_high_bitdepth) ? GPU_R32F : GPU_R16F); + break; + case SHADOW_VSM: + shadow_pool_format = ((linfo->shadow_high_bitdepth) ? GPU_RG32F : GPU_RG16F); + break; + default: + BLI_assert(!"Incorrect Shadow Method"); + break; + } + + /* Cubemaps */ + if (!sldata->shadow_cube_target) { + sldata->shadow_cube_target = DRW_texture_create_cube( + linfo->shadow_cube_size, GPU_DEPTH_COMPONENT24, 0, NULL); + sldata->shadow_cube_blur = DRW_texture_create_cube( + linfo->shadow_cube_size, shadow_pool_format, DRW_TEX_FILTER, NULL); + } + if (!sldata->shadow_cube_pool) { + sldata->shadow_cube_pool = DRW_texture_create_2d_array(linfo->shadow_cube_store_size, + linfo->shadow_cube_store_size, + max_ii(1, linfo->num_cube_layer), + shadow_pool_format, + DRW_TEX_FILTER, + NULL); + } + GPU_framebuffer_ensure_config(&sldata->shadow_cube_target_fb, + {GPU_ATTACHMENT_TEXTURE(sldata->shadow_cube_target)}); + GPU_framebuffer_ensure_config( + &sldata->shadow_cube_store_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(sldata->shadow_cube_pool)}); + + /* CSM */ + if (!sldata->shadow_cascade_target) { + sldata->shadow_cascade_target = DRW_texture_create_2d_array(linfo->shadow_cascade_size, + linfo->shadow_cascade_size, + MAX_CASCADE_NUM, + GPU_DEPTH_COMPONENT24, + 0, + NULL); + sldata->shadow_cascade_blur = DRW_texture_create_2d_array(linfo->shadow_cascade_size, + linfo->shadow_cascade_size, + MAX_CASCADE_NUM, + shadow_pool_format, + DRW_TEX_FILTER, + NULL); + } + if (!sldata->shadow_cascade_pool) { + sldata->shadow_cascade_pool = DRW_texture_create_2d_array(linfo->shadow_cascade_size, + linfo->shadow_cascade_size, + max_ii(1, linfo->num_cascade_layer), + shadow_pool_format, + DRW_TEX_FILTER, + NULL); + } + GPU_framebuffer_ensure_config(&sldata->shadow_cascade_target_fb, + {GPU_ATTACHMENT_TEXTURE(sldata->shadow_cascade_target)}); + GPU_framebuffer_ensure_config( + &sldata->shadow_cascade_store_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(sldata->shadow_cascade_pool)}); + + /* Update Lights UBOs. */ + EEVEE_lights_update(sldata, vedata); } float light_attenuation_radius_get(Light *la, float light_threshold) { - if (la->mode & LA_CUSTOM_ATTENUATION) { - return la->att_dist; - } - - /* Compute max light power. */ - float power = max_fff(la->r, la->g, la->b); - power *= fabsf(la->energy); - power *= max_ff(1.0f, la->spec_fac); - /* Compute the distance (using the inverse square law) - * at which the light power reaches the light_threshold. */ - float distance = sqrtf(max_ff(1e-16, power / max_ff(1e-16, light_threshold))); - return distance; + if (la->mode & LA_CUSTOM_ATTENUATION) { + return la->att_dist; + } + + /* Compute max light power. */ + float power = max_fff(la->r, la->g, la->b); + power *= fabsf(la->energy); + power *= max_ff(1.0f, la->spec_fac); + /* Compute the distance (using the inverse square law) + * at which the light power reaches the light_threshold. */ + float distance = sqrtf(max_ff(1e-16, power / max_ff(1e-16, light_threshold))); + return distance; } static void light_shape_parameters_set(EEVEE_Light *evli, const Light *la, float scale[3]) { - if (la->type == LA_SPOT) { - /* Spot size & blend */ - evli->sizex = scale[0] / scale[2]; - evli->sizey = scale[1] / scale[2]; - evli->spotsize = cosf(la->spotsize * 0.5f); - evli->spotblend = (1.0f - evli->spotsize) * la->spotblend; - evli->radius = max_ff(0.001f, la->area_size); - } - else if (la->type == LA_AREA) { - evli->sizex = max_ff(0.003f, la->area_size * scale[0] * 0.5f); - if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_ELLIPSE)) { - evli->sizey = max_ff(0.003f, la->area_sizey * scale[1] * 0.5f); - } - else { - evli->sizey = max_ff(0.003f, la->area_size * scale[1] * 0.5f); - } - } - else { - evli->radius = max_ff(0.001f, la->area_size); - } + if (la->type == LA_SPOT) { + /* Spot size & blend */ + evli->sizex = scale[0] / scale[2]; + evli->sizey = scale[1] / scale[2]; + evli->spotsize = cosf(la->spotsize * 0.5f); + evli->spotblend = (1.0f - evli->spotsize) * la->spotblend; + evli->radius = max_ff(0.001f, la->area_size); + } + else if (la->type == LA_AREA) { + evli->sizex = max_ff(0.003f, la->area_size * scale[0] * 0.5f); + if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_ELLIPSE)) { + evli->sizey = max_ff(0.003f, la->area_sizey * scale[1] * 0.5f); + } + else { + evli->sizey = max_ff(0.003f, la->area_size * scale[1] * 0.5f); + } + } + else { + evli->radius = max_ff(0.001f, la->area_size); + } } static float light_shape_power_get(const Light *la, const EEVEE_Light *evli) { - float power; - /* Make illumination power constant */ - if (la->type == LA_AREA) { - power = 1.0f / (evli->sizex * evli->sizey * 4.0f * M_PI) * /* 1/(w*h*Pi) */ - 80.0f; /* XXX : Empirical, Fit cycles power */ - if (ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { - /* Scale power to account for the lower area of the ellipse compared to the surrounding rectangle. */ - power *= 4.0f / M_PI; - } - } - else if (la->type == LA_SPOT || la->type == LA_LOCAL) { - power = 1.0f / (4.0f * evli->radius * evli->radius * M_PI * M_PI) * /* 1/(4*r²*Pi²) */ - M_PI * M_PI * 10.0; /* XXX : Empirical, Fit cycles power */ - - /* for point lights (a.k.a radius == 0.0) */ - // power = M_PI * M_PI * 0.78; /* XXX : Empirical, Fit cycles power */ - } - else { - power = 1.0f / (evli->radius * evli->radius * M_PI); /* 1/(r²*Pi) */ - /* Make illumation power closer to cycles for bigger radii. Cycles uses a cos^3 term that we cannot reproduce - * so we account for that by scaling the light power. This function is the result of a rough manual fitting. */ - power += 1.0f / (2.0f * M_PI); /* power *= 1 + r²/2 */ - } - return power; + float power; + /* Make illumination power constant */ + if (la->type == LA_AREA) { + power = 1.0f / (evli->sizex * evli->sizey * 4.0f * M_PI) * /* 1/(w*h*Pi) */ + 80.0f; /* XXX : Empirical, Fit cycles power */ + if (ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { + /* Scale power to account for the lower area of the ellipse compared to the surrounding rectangle. */ + power *= 4.0f / M_PI; + } + } + else if (la->type == LA_SPOT || la->type == LA_LOCAL) { + power = 1.0f / (4.0f * evli->radius * evli->radius * M_PI * M_PI) * /* 1/(4*r²*Pi²) */ + M_PI * M_PI * 10.0; /* XXX : Empirical, Fit cycles power */ + + /* for point lights (a.k.a radius == 0.0) */ + // power = M_PI * M_PI * 0.78; /* XXX : Empirical, Fit cycles power */ + } + else { + power = 1.0f / (evli->radius * evli->radius * M_PI); /* 1/(r²*Pi) */ + /* Make illumation power closer to cycles for bigger radii. Cycles uses a cos^3 term that we cannot reproduce + * so we account for that by scaling the light power. This function is the result of a rough manual fitting. */ + power += 1.0f / (2.0f * M_PI); /* power *= 1 + r²/2 */ + } + return power; } /* Update buffer with light data */ static void eevee_light_setup(Object *ob, EEVEE_Light *evli) { - Light *la = (Light *)ob->data; - float mat[4][4], scale[3], power, att_radius; + Light *la = (Light *)ob->data; + float mat[4][4], scale[3], power, att_radius; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const float light_threshold = draw_ctx->scene->eevee.light_threshold; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const float light_threshold = draw_ctx->scene->eevee.light_threshold; - /* Position */ - copy_v3_v3(evli->position, ob->obmat[3]); + /* Position */ + copy_v3_v3(evli->position, ob->obmat[3]); - /* Color */ - copy_v3_v3(evli->color, &la->r); + /* Color */ + copy_v3_v3(evli->color, &la->r); - evli->spec = la->spec_fac; + evli->spec = la->spec_fac; - /* Influence Radius */ - att_radius = light_attenuation_radius_get(la, light_threshold); - /* Take the inverse square of this distance. */ - evli->invsqrdist = 1.0 / max_ff(1e-4f, att_radius * att_radius); + /* Influence Radius */ + att_radius = light_attenuation_radius_get(la, light_threshold); + /* Take the inverse square of this distance. */ + evli->invsqrdist = 1.0 / max_ff(1e-4f, att_radius * att_radius); - /* Vectors */ - normalize_m4_m4_ex(mat, ob->obmat, scale); - copy_v3_v3(evli->forwardvec, mat[2]); - normalize_v3(evli->forwardvec); - negate_v3(evli->forwardvec); + /* Vectors */ + normalize_m4_m4_ex(mat, ob->obmat, scale); + copy_v3_v3(evli->forwardvec, mat[2]); + normalize_v3(evli->forwardvec); + negate_v3(evli->forwardvec); - copy_v3_v3(evli->rightvec, mat[0]); - normalize_v3(evli->rightvec); + copy_v3_v3(evli->rightvec, mat[0]); + normalize_v3(evli->rightvec); - copy_v3_v3(evli->upvec, mat[1]); - normalize_v3(evli->upvec); + copy_v3_v3(evli->upvec, mat[1]); + normalize_v3(evli->upvec); - /* Make sure we have a consistent Right Hand coord frame. - * (in case of negatively scaled Z axis) */ - float cross[3]; - cross_v3_v3v3(cross, evli->rightvec, evli->forwardvec); - if (dot_v3v3(cross, evli->upvec) < 0.0) { - negate_v3(evli->upvec); - } + /* Make sure we have a consistent Right Hand coord frame. + * (in case of negatively scaled Z axis) */ + float cross[3]; + cross_v3_v3v3(cross, evli->rightvec, evli->forwardvec); + if (dot_v3v3(cross, evli->upvec) < 0.0) { + negate_v3(evli->upvec); + } - light_shape_parameters_set(evli, la, scale); + light_shape_parameters_set(evli, la, scale); - /* Light Type */ - evli->light_type = (float)la->type; - if ((la->type == LA_AREA) && ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { - evli->light_type = LAMPTYPE_AREA_ELLIPSE; - } + /* Light Type */ + evli->light_type = (float)la->type; + if ((la->type == LA_AREA) && ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { + evli->light_type = LAMPTYPE_AREA_ELLIPSE; + } - power = light_shape_power_get(la, evli); - mul_v3_fl(evli->color, power * la->energy); + power = light_shape_power_get(la, evli); + mul_v3_fl(evli->color, power * la->energy); - /* No shadow by default */ - evli->shadowid = -1.0f; + /* No shadow by default */ + evli->shadowid = -1.0f; } /** @@ -735,769 +765,804 @@ static void eevee_light_setup(Object *ob, EEVEE_Light *evli) */ static void sample_ball(int sample_ofs, float radius, float rsample[3]) { - double ht_point[3]; - double ht_offset[3] = {0.0, 0.0, 0.0}; - uint ht_primes[3] = {2, 3, 7}; + double ht_point[3]; + double ht_offset[3] = {0.0, 0.0, 0.0}; + uint ht_primes[3] = {2, 3, 7}; - BLI_halton_3d(ht_primes, ht_offset, sample_ofs, ht_point); + BLI_halton_3d(ht_primes, ht_offset, sample_ofs, ht_point); - float omega = ht_point[1] * 2.0f * M_PI; + float omega = ht_point[1] * 2.0f * M_PI; - rsample[2] = ht_point[0] * 2.0f - 1.0f; /* cos theta */ + rsample[2] = ht_point[0] * 2.0f - 1.0f; /* cos theta */ - float r = sqrtf(fmaxf(0.0f, 1.0f - rsample[2] * rsample[2])); /* sin theta */ + float r = sqrtf(fmaxf(0.0f, 1.0f - rsample[2] * rsample[2])); /* sin theta */ - rsample[0] = r * cosf(omega); - rsample[1] = r * sinf(omega); + rsample[0] = r * cosf(omega); + rsample[1] = r * sinf(omega); - radius *= sqrt(sqrt(ht_point[2])); - mul_v3_fl(rsample, radius); + radius *= sqrt(sqrt(ht_point[2])); + mul_v3_fl(rsample, radius); } static void sample_rectangle( - int sample_ofs, float x_axis[3], float y_axis[3], float size_x, float size_y, - float rsample[3]) + int sample_ofs, float x_axis[3], float y_axis[3], float size_x, float size_y, float rsample[3]) { - double ht_point[2]; - double ht_offset[2] = {0.0, 0.0}; - uint ht_primes[2] = {2, 3}; + double ht_point[2]; + double ht_offset[2] = {0.0, 0.0}; + uint ht_primes[2] = {2, 3}; - BLI_halton_2d(ht_primes, ht_offset, sample_ofs, ht_point); + BLI_halton_2d(ht_primes, ht_offset, sample_ofs, ht_point); - /* Change ditribution center to be 0,0 */ - ht_point[0] = (ht_point[0] > 0.5f) ? ht_point[0] - 1.0f : ht_point[0]; - ht_point[1] = (ht_point[1] > 0.5f) ? ht_point[1] - 1.0f : ht_point[1]; + /* Change ditribution center to be 0,0 */ + ht_point[0] = (ht_point[0] > 0.5f) ? ht_point[0] - 1.0f : ht_point[0]; + ht_point[1] = (ht_point[1] > 0.5f) ? ht_point[1] - 1.0f : ht_point[1]; - zero_v3(rsample); - madd_v3_v3fl(rsample, x_axis, (ht_point[0] * 2.0f) * size_x); - madd_v3_v3fl(rsample, y_axis, (ht_point[1] * 2.0f) * size_y); + zero_v3(rsample); + madd_v3_v3fl(rsample, x_axis, (ht_point[0] * 2.0f) * size_x); + madd_v3_v3fl(rsample, y_axis, (ht_point[1] * 2.0f) * size_y); } static void sample_ellipse( - int sample_ofs, float x_axis[3], float y_axis[3], float size_x, float size_y, - float rsample[3]) + int sample_ofs, float x_axis[3], float y_axis[3], float size_x, float size_y, float rsample[3]) { - double ht_point[2]; - double ht_offset[2] = {0.0, 0.0}; - uint ht_primes[2] = {2, 3}; + double ht_point[2]; + double ht_offset[2] = {0.0, 0.0}; + uint ht_primes[2] = {2, 3}; - BLI_halton_2d(ht_primes, ht_offset, sample_ofs, ht_point); + BLI_halton_2d(ht_primes, ht_offset, sample_ofs, ht_point); - /* Uniform disc sampling. */ - float omega = ht_point[1] * 2.0f * M_PI; - float r = sqrtf(ht_point[0]); - ht_point[0] = r * cosf(omega) * size_x; - ht_point[1] = r * sinf(omega) * size_y; + /* Uniform disc sampling. */ + float omega = ht_point[1] * 2.0f * M_PI; + float r = sqrtf(ht_point[0]); + ht_point[0] = r * cosf(omega) * size_x; + ht_point[1] = r * sinf(omega) * size_y; - zero_v3(rsample); - madd_v3_v3fl(rsample, x_axis, ht_point[0]); - madd_v3_v3fl(rsample, y_axis, ht_point[1]); + zero_v3(rsample); + madd_v3_v3fl(rsample, x_axis, ht_point[0]); + madd_v3_v3fl(rsample, y_axis, ht_point[1]); } - -static void shadow_cube_random_position_set( - EEVEE_Light *evli, Light *la, - int sample_ofs, - float ws_sample_pos[3]) +static void shadow_cube_random_position_set(EEVEE_Light *evli, + Light *la, + int sample_ofs, + float ws_sample_pos[3]) { - float jitter[3]; + float jitter[3]; #ifndef DEBUG_SHADOW_DISTRIBUTION - int i = sample_ofs; + int i = sample_ofs; #else - for (int i = 0; i <= sample_ofs; ++i) { + for (int i = 0; i <= sample_ofs; ++i) { #endif - switch (la->type) { - case LA_AREA: - if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_SQUARE)) { - sample_rectangle(i, evli->rightvec, evli->upvec, evli->sizex, evli->sizey, jitter); - } - else { - sample_ellipse(i, evli->rightvec, evli->upvec, evli->sizex, evli->sizey, jitter); - } - break; - default: - sample_ball(i, evli->radius, jitter); - } + switch (la->type) { + case LA_AREA: + if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_SQUARE)) { + sample_rectangle(i, evli->rightvec, evli->upvec, evli->sizex, evli->sizey, jitter); + } + else { + sample_ellipse(i, evli->rightvec, evli->upvec, evli->sizex, evli->sizey, jitter); + } + break; + default: + sample_ball(i, evli->radius, jitter); + } #ifdef DEBUG_SHADOW_DISTRIBUTION - float p[3]; - add_v3_v3v3(p, jitter, ws_sample_pos); - DRW_debug_sphere(p, 0.01f, (float[4]){1.0f, (sample_ofs == i) ? 1.0f : 0.0f, 0.0f, 1.0f}); - } + float p[3]; + add_v3_v3v3(p, jitter, ws_sample_pos); + DRW_debug_sphere(p, 0.01f, (float[4]){1.0f, (sample_ofs == i) ? 1.0f : 0.0f, 0.0f, 1.0f}); +} #endif - add_v3_v3(ws_sample_pos, jitter); +add_v3_v3(ws_sample_pos, jitter); } -static void eevee_shadow_cube_setup(Object *ob, EEVEE_LightsInfo *linfo, EEVEE_LightEngineData *led, int sample_ofs) +static void eevee_shadow_cube_setup(Object *ob, + EEVEE_LightsInfo *linfo, + EEVEE_LightEngineData *led, + int sample_ofs) { - EEVEE_ShadowCubeData *sh_data = &led->data.scd; - EEVEE_Light *evli = linfo->light_data + sh_data->light_id; - EEVEE_Shadow *ubo_data = linfo->shadow_data + sh_data->shadow_id; - EEVEE_ShadowCube *cube_data = linfo->shadow_cube_data + sh_data->cube_id; - Light *la = (Light *)ob->data; - - copy_v3_v3(cube_data->position, ob->obmat[3]); - - if (linfo->soft_shadows) { - shadow_cube_random_position_set(evli, la, sample_ofs, cube_data->position); - } - - ubo_data->bias = 0.05f * la->bias; - ubo_data->near = la->clipsta; - ubo_data->far = 1.0f / (evli->invsqrdist * evli->invsqrdist); - ubo_data->exp = (linfo->shadow_method == SHADOW_VSM) ? la->bleedbias : la->bleedexp; - - evli->shadowid = (float)(sh_data->shadow_id); - ubo_data->shadow_start = (float)(sh_data->layer_id); - ubo_data->data_start = (float)(sh_data->cube_id); - ubo_data->shadow_blur = la->soft * 0.02f; /* Used by translucence shadowmap blur */ - - ubo_data->contact_dist = (la->mode & LA_SHAD_CONTACT) ? la->contact_dist : 0.0f; - ubo_data->contact_bias = 0.05f * la->contact_bias; - ubo_data->contact_spread = la->contact_spread; - ubo_data->contact_thickness = la->contact_thickness; + EEVEE_ShadowCubeData *sh_data = &led->data.scd; + EEVEE_Light *evli = linfo->light_data + sh_data->light_id; + EEVEE_Shadow *ubo_data = linfo->shadow_data + sh_data->shadow_id; + EEVEE_ShadowCube *cube_data = linfo->shadow_cube_data + sh_data->cube_id; + Light *la = (Light *)ob->data; + + copy_v3_v3(cube_data->position, ob->obmat[3]); + + if (linfo->soft_shadows) { + shadow_cube_random_position_set(evli, la, sample_ofs, cube_data->position); + } + + ubo_data->bias = 0.05f * la->bias; + ubo_data->near = la->clipsta; + ubo_data->far = 1.0f / (evli->invsqrdist * evli->invsqrdist); + ubo_data->exp = (linfo->shadow_method == SHADOW_VSM) ? la->bleedbias : la->bleedexp; + + evli->shadowid = (float)(sh_data->shadow_id); + ubo_data->shadow_start = (float)(sh_data->layer_id); + ubo_data->data_start = (float)(sh_data->cube_id); + ubo_data->shadow_blur = la->soft * 0.02f; /* Used by translucence shadowmap blur */ + + ubo_data->contact_dist = (la->mode & LA_SHAD_CONTACT) ? la->contact_dist : 0.0f; + ubo_data->contact_bias = 0.05f * la->contact_bias; + ubo_data->contact_spread = la->contact_spread; + ubo_data->contact_thickness = la->contact_thickness; } static void shadow_cascade_random_matrix_set(float mat[4][4], float radius, int sample_ofs) { - float jitter[3]; + float jitter[3]; #ifndef DEBUG_SHADOW_DISTRIBUTION - int i = sample_ofs; + int i = sample_ofs; #else - for (int i = 0; i <= sample_ofs; ++i) { + for (int i = 0; i <= sample_ofs; ++i) { #endif - sample_ellipse(i, mat[0], mat[1], radius, radius, jitter); + sample_ellipse(i, mat[0], mat[1], radius, radius, jitter); #ifdef DEBUG_SHADOW_DISTRIBUTION - float p[3]; - add_v3_v3v3(p, jitter, mat[2]); - DRW_debug_sphere(p, 0.01f, (float[4]){1.0f, (sample_ofs == i) ? 1.0f : 0.0f, 0.0f, 1.0f}); - } + float p[3]; + add_v3_v3v3(p, jitter, mat[2]); + DRW_debug_sphere(p, 0.01f, (float[4]){1.0f, (sample_ofs == i) ? 1.0f : 0.0f, 0.0f, 1.0f}); +} #endif - add_v3_v3(mat[2], jitter); - orthogonalize_m4(mat, 2); +add_v3_v3(mat[2], jitter); +orthogonalize_m4(mat, 2); } #define LERP(t, a, b) ((a) + (t) * ((b) - (a))) static double round_to_digits(double value, int digits) { - double factor = pow(10.0, digits - ceil(log10(fabs(value)))); - return round(value * factor) / factor; + double factor = pow(10.0, digits - ceil(log10(fabs(value)))); + return round(value * factor) / factor; } -static void frustum_min_bounding_sphere(const float corners[8][3], float r_center[3], float *r_radius) +static void frustum_min_bounding_sphere(const float corners[8][3], + float r_center[3], + float *r_radius) { #if 0 /* Simple solution but waste too much space. */ - float minvec[3], maxvec[3]; - - /* compute the bounding box */ - INIT_MINMAX(minvec, maxvec); - for (int i = 0; i < 8; ++i) { - minmax_v3v3_v3(minvec, maxvec, corners[i]); - } - - /* compute the bounding sphere of this box */ - r_radius = len_v3v3(minvec, maxvec) * 0.5f; - add_v3_v3v3(r_center, minvec, maxvec); - mul_v3_fl(r_center, 0.5f); + float minvec[3], maxvec[3]; + + /* compute the bounding box */ + INIT_MINMAX(minvec, maxvec); + for (int i = 0; i < 8; ++i) { + minmax_v3v3_v3(minvec, maxvec, corners[i]); + } + + /* compute the bounding sphere of this box */ + r_radius = len_v3v3(minvec, maxvec) * 0.5f; + add_v3_v3v3(r_center, minvec, maxvec); + mul_v3_fl(r_center, 0.5f); #else - /* Find averaged center. */ - zero_v3(r_center); - for (int i = 0; i < 8; ++i) { - add_v3_v3(r_center, corners[i]); - } - mul_v3_fl(r_center, 1.0f / 8.0f); - - /* Search the largest distance from the sphere center. */ - *r_radius = 0.0f; - for (int i = 0; i < 8; ++i) { - float rad = len_squared_v3v3(corners[i], r_center); - if (rad > *r_radius) { - *r_radius = rad; - } - } - - /* TODO try to reduce the radius further by moving the center. - * Remember we need a __stable__ solution! */ - - /* Try to reduce float imprecision leading to shimmering. */ - *r_radius = (float)round_to_digits(sqrtf(*r_radius), 3); + /* Find averaged center. */ + zero_v3(r_center); + for (int i = 0; i < 8; ++i) { + add_v3_v3(r_center, corners[i]); + } + mul_v3_fl(r_center, 1.0f / 8.0f); + + /* Search the largest distance from the sphere center. */ + *r_radius = 0.0f; + for (int i = 0; i < 8; ++i) { + float rad = len_squared_v3v3(corners[i], r_center); + if (rad > *r_radius) { + *r_radius = rad; + } + } + + /* TODO try to reduce the radius further by moving the center. + * Remember we need a __stable__ solution! */ + + /* Try to reduce float imprecision leading to shimmering. */ + *r_radius = (float)round_to_digits(sqrtf(*r_radius), 3); #endif } -static void eevee_shadow_cascade_setup( - Object *ob, EEVEE_LightsInfo *linfo, EEVEE_LightEngineData *led, - DRWMatrixState *saved_mats, float view_near, float view_far, int sample_ofs) +static void eevee_shadow_cascade_setup(Object *ob, + EEVEE_LightsInfo *linfo, + EEVEE_LightEngineData *led, + DRWMatrixState *saved_mats, + float view_near, + float view_far, + int sample_ofs) { - Light *la = (Light *)ob->data; + Light *la = (Light *)ob->data; - /* Camera Matrices */ - float (*persinv)[4] = saved_mats->mat[DRW_MAT_PERSINV]; - float (*vp_projmat)[4] = saved_mats->mat[DRW_MAT_WIN]; - bool is_persp = DRW_viewport_is_persp_get(); + /* Camera Matrices */ + float(*persinv)[4] = saved_mats->mat[DRW_MAT_PERSINV]; + float(*vp_projmat)[4] = saved_mats->mat[DRW_MAT_WIN]; + bool is_persp = DRW_viewport_is_persp_get(); - /* Lights Matrices */ - int cascade_nbr = la->cascade_count; + /* Lights Matrices */ + int cascade_nbr = la->cascade_count; - EEVEE_ShadowCascadeData *sh_data = &led->data.scad; - EEVEE_Light *evli = linfo->light_data + sh_data->light_id; - EEVEE_Shadow *ubo_data = linfo->shadow_data + sh_data->shadow_id; - EEVEE_ShadowCascade *cascade_data = linfo->shadow_cascade_data + sh_data->cascade_id; + EEVEE_ShadowCascadeData *sh_data = &led->data.scad; + EEVEE_Light *evli = linfo->light_data + sh_data->light_id; + EEVEE_Shadow *ubo_data = linfo->shadow_data + sh_data->shadow_id; + EEVEE_ShadowCascade *cascade_data = linfo->shadow_cascade_data + sh_data->cascade_id; - /* obmat = Object Space > World Space */ - /* viewmat = World Space > View Space */ - float (*viewmat)[4] = sh_data->viewmat; + /* obmat = Object Space > World Space */ + /* viewmat = World Space > View Space */ + float(*viewmat)[4] = sh_data->viewmat; #if 0 /* done at culling time */ - normalize_m4_m4(viewmat, ob->obmat); + normalize_m4_m4(viewmat, ob->obmat); #endif - if (linfo->soft_shadows) { - shadow_cascade_random_matrix_set(viewmat, evli->radius, sample_ofs); - } - - copy_m4_m4(sh_data->viewinv, viewmat); - invert_m4(viewmat); - - /* The technique consists into splitting - * the view frustum into several sub-frustum - * that are individually receiving one shadow map */ - - float csm_start, csm_end; - - if (is_persp) { - csm_start = view_near; - csm_end = max_ff(view_far, -la->cascade_max_dist); - /* Avoid artifacts */ - csm_end = min_ff(view_near, csm_end); - } - else { - csm_start = -view_far; - csm_end = view_far; - } - - /* init near/far */ - for (int c = 0; c < MAX_CASCADE_NUM; ++c) { - cascade_data->split_start[c] = csm_end; - cascade_data->split_end[c] = csm_end; - } - - /* Compute split planes */ - float splits_start_ndc[MAX_CASCADE_NUM]; - float splits_end_ndc[MAX_CASCADE_NUM]; - - { - /* Nearest plane */ - float p[4] = {1.0f, 1.0f, csm_start, 1.0f}; - /* TODO: we don't need full m4 multiply here */ - mul_m4_v4(vp_projmat, p); - splits_start_ndc[0] = p[2]; - if (is_persp) { - splits_start_ndc[0] /= p[3]; - } - } - - { - /* Farthest plane */ - float p[4] = {1.0f, 1.0f, csm_end, 1.0f}; - /* TODO: we don't need full m4 multiply here */ - mul_m4_v4(vp_projmat, p); - splits_end_ndc[cascade_nbr - 1] = p[2]; - if (is_persp) { - splits_end_ndc[cascade_nbr - 1] /= p[3]; - } - } - - cascade_data->split_start[0] = csm_start; - cascade_data->split_end[cascade_nbr - 1] = csm_end; - - for (int c = 1; c < cascade_nbr; ++c) { - /* View Space */ - float linear_split = LERP(((float)(c) / (float)cascade_nbr), csm_start, csm_end); - float exp_split = csm_start * powf(csm_end / csm_start, (float)(c) / (float)cascade_nbr); - - if (is_persp) { - cascade_data->split_start[c] = LERP(la->cascade_exponent, linear_split, exp_split); - } - else { - cascade_data->split_start[c] = linear_split; - } - cascade_data->split_end[c - 1] = cascade_data->split_start[c]; - - /* Add some overlap for smooth transition */ - cascade_data->split_start[c] = LERP(la->cascade_fade, cascade_data->split_end[c - 1], - (c > 1) ? cascade_data->split_end[c - 2] : cascade_data->split_start[0]); - - /* NDC Space */ - { - float p[4] = {1.0f, 1.0f, cascade_data->split_start[c], 1.0f}; - /* TODO: we don't need full m4 multiply here */ - mul_m4_v4(vp_projmat, p); - splits_start_ndc[c] = p[2]; - - if (is_persp) { - splits_start_ndc[c] /= p[3]; - } - } - - { - float p[4] = {1.0f, 1.0f, cascade_data->split_end[c - 1], 1.0f}; - /* TODO: we don't need full m4 multiply here */ - mul_m4_v4(vp_projmat, p); - splits_end_ndc[c - 1] = p[2]; - - if (is_persp) { - splits_end_ndc[c - 1] /= p[3]; - } - } - } - - /* Set last cascade split fade distance into the first split_start. */ - float prev_split = (cascade_nbr > 1) ? cascade_data->split_end[cascade_nbr - 2] : cascade_data->split_start[0]; - cascade_data->split_start[0] = LERP(la->cascade_fade, cascade_data->split_end[cascade_nbr - 1], prev_split); - - /* For each cascade */ - for (int c = 0; c < cascade_nbr; ++c) { - float (*projmat)[4] = sh_data->projmat[c]; - /* Given 8 frustum corners */ - float corners[8][3] = { - /* Near Cap */ - { 1.0f, -1.0f, splits_start_ndc[c]}, - {-1.0f, -1.0f, splits_start_ndc[c]}, - {-1.0f, 1.0f, splits_start_ndc[c]}, - { 1.0f, 1.0f, splits_start_ndc[c]}, - /* Far Cap */ - { 1.0f, -1.0f, splits_end_ndc[c]}, - {-1.0f, -1.0f, splits_end_ndc[c]}, - {-1.0f, 1.0f, splits_end_ndc[c]}, - { 1.0f, 1.0f, splits_end_ndc[c]}, - }; - - /* Transform them into world space */ - for (int i = 0; i < 8; ++i) { - mul_project_m4_v3(persinv, corners[i]); - } - - float center[3]; - frustum_min_bounding_sphere(corners, center, &(sh_data->radius[c])); + if (linfo->soft_shadows) { + shadow_cascade_random_matrix_set(viewmat, evli->radius, sample_ofs); + } + + copy_m4_m4(sh_data->viewinv, viewmat); + invert_m4(viewmat); + + /* The technique consists into splitting + * the view frustum into several sub-frustum + * that are individually receiving one shadow map */ + + float csm_start, csm_end; + + if (is_persp) { + csm_start = view_near; + csm_end = max_ff(view_far, -la->cascade_max_dist); + /* Avoid artifacts */ + csm_end = min_ff(view_near, csm_end); + } + else { + csm_start = -view_far; + csm_end = view_far; + } + + /* init near/far */ + for (int c = 0; c < MAX_CASCADE_NUM; ++c) { + cascade_data->split_start[c] = csm_end; + cascade_data->split_end[c] = csm_end; + } + + /* Compute split planes */ + float splits_start_ndc[MAX_CASCADE_NUM]; + float splits_end_ndc[MAX_CASCADE_NUM]; + + { + /* Nearest plane */ + float p[4] = {1.0f, 1.0f, csm_start, 1.0f}; + /* TODO: we don't need full m4 multiply here */ + mul_m4_v4(vp_projmat, p); + splits_start_ndc[0] = p[2]; + if (is_persp) { + splits_start_ndc[0] /= p[3]; + } + } + + { + /* Farthest plane */ + float p[4] = {1.0f, 1.0f, csm_end, 1.0f}; + /* TODO: we don't need full m4 multiply here */ + mul_m4_v4(vp_projmat, p); + splits_end_ndc[cascade_nbr - 1] = p[2]; + if (is_persp) { + splits_end_ndc[cascade_nbr - 1] /= p[3]; + } + } + + cascade_data->split_start[0] = csm_start; + cascade_data->split_end[cascade_nbr - 1] = csm_end; + + for (int c = 1; c < cascade_nbr; ++c) { + /* View Space */ + float linear_split = LERP(((float)(c) / (float)cascade_nbr), csm_start, csm_end); + float exp_split = csm_start * powf(csm_end / csm_start, (float)(c) / (float)cascade_nbr); + + if (is_persp) { + cascade_data->split_start[c] = LERP(la->cascade_exponent, linear_split, exp_split); + } + else { + cascade_data->split_start[c] = linear_split; + } + cascade_data->split_end[c - 1] = cascade_data->split_start[c]; + + /* Add some overlap for smooth transition */ + cascade_data->split_start[c] = LERP(la->cascade_fade, + cascade_data->split_end[c - 1], + (c > 1) ? cascade_data->split_end[c - 2] : + cascade_data->split_start[0]); + + /* NDC Space */ + { + float p[4] = {1.0f, 1.0f, cascade_data->split_start[c], 1.0f}; + /* TODO: we don't need full m4 multiply here */ + mul_m4_v4(vp_projmat, p); + splits_start_ndc[c] = p[2]; + + if (is_persp) { + splits_start_ndc[c] /= p[3]; + } + } + + { + float p[4] = {1.0f, 1.0f, cascade_data->split_end[c - 1], 1.0f}; + /* TODO: we don't need full m4 multiply here */ + mul_m4_v4(vp_projmat, p); + splits_end_ndc[c - 1] = p[2]; + + if (is_persp) { + splits_end_ndc[c - 1] /= p[3]; + } + } + } + + /* Set last cascade split fade distance into the first split_start. */ + float prev_split = (cascade_nbr > 1) ? cascade_data->split_end[cascade_nbr - 2] : + cascade_data->split_start[0]; + cascade_data->split_start[0] = LERP( + la->cascade_fade, cascade_data->split_end[cascade_nbr - 1], prev_split); + + /* For each cascade */ + for (int c = 0; c < cascade_nbr; ++c) { + float(*projmat)[4] = sh_data->projmat[c]; + /* Given 8 frustum corners */ + float corners[8][3] = { + /* Near Cap */ + {1.0f, -1.0f, splits_start_ndc[c]}, + {-1.0f, -1.0f, splits_start_ndc[c]}, + {-1.0f, 1.0f, splits_start_ndc[c]}, + {1.0f, 1.0f, splits_start_ndc[c]}, + /* Far Cap */ + {1.0f, -1.0f, splits_end_ndc[c]}, + {-1.0f, -1.0f, splits_end_ndc[c]}, + {-1.0f, 1.0f, splits_end_ndc[c]}, + {1.0f, 1.0f, splits_end_ndc[c]}, + }; + + /* Transform them into world space */ + for (int i = 0; i < 8; ++i) { + mul_project_m4_v3(persinv, corners[i]); + } + + float center[3]; + frustum_min_bounding_sphere(corners, center, &(sh_data->radius[c])); #ifdef DEBUG_CSM - float dbg_col[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - if (c < 3) { - dbg_col[c] = 1.0f; - } - DRW_debug_bbox((BoundBox *)&corners, dbg_col); - DRW_debug_sphere(center, sh_data->radius[c], dbg_col); + float dbg_col[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + if (c < 3) { + dbg_col[c] = 1.0f; + } + DRW_debug_bbox((BoundBox *)&corners, dbg_col); + DRW_debug_sphere(center, sh_data->radius[c], dbg_col); #endif - /* Project into lightspace */ - mul_m4_v3(viewmat, center); - - /* Snap projection center to nearest texel to cancel shimmering. */ - float shadow_origin[2], shadow_texco[2]; - /* Light to texture space. */ - mul_v2_v2fl(shadow_origin, center, linfo->shadow_cascade_size / (2.0f * sh_data->radius[c])); - - /* Find the nearest texel. */ - shadow_texco[0] = roundf(shadow_origin[0]); - shadow_texco[1] = roundf(shadow_origin[1]); - - /* Compute offset. */ - sub_v2_v2(shadow_texco, shadow_origin); - mul_v2_fl(shadow_texco, (2.0f * sh_data->radius[c]) / linfo->shadow_cascade_size); /* Texture to light space. */ - - /* Apply offset. */ - add_v2_v2(center, shadow_texco); - - /* Expand the projection to cover frustum range */ - rctf rect_cascade; - BLI_rctf_init_pt_radius(&rect_cascade, center, sh_data->radius[c]); - orthographic_m4(projmat, - rect_cascade.xmin, rect_cascade.xmax, - rect_cascade.ymin, rect_cascade.ymax, - la->clipsta, la->clipend); - - mul_m4_m4m4(sh_data->viewprojmat[c], projmat, viewmat); - mul_m4_m4m4(cascade_data->shadowmat[c], texcomat, sh_data->viewprojmat[c]); + /* Project into lightspace */ + mul_m4_v3(viewmat, center); + + /* Snap projection center to nearest texel to cancel shimmering. */ + float shadow_origin[2], shadow_texco[2]; + /* Light to texture space. */ + mul_v2_v2fl(shadow_origin, center, linfo->shadow_cascade_size / (2.0f * sh_data->radius[c])); + + /* Find the nearest texel. */ + shadow_texco[0] = roundf(shadow_origin[0]); + shadow_texco[1] = roundf(shadow_origin[1]); + + /* Compute offset. */ + sub_v2_v2(shadow_texco, shadow_origin); + mul_v2_fl(shadow_texco, + (2.0f * sh_data->radius[c]) / + linfo->shadow_cascade_size); /* Texture to light space. */ + + /* Apply offset. */ + add_v2_v2(center, shadow_texco); + + /* Expand the projection to cover frustum range */ + rctf rect_cascade; + BLI_rctf_init_pt_radius(&rect_cascade, center, sh_data->radius[c]); + orthographic_m4(projmat, + rect_cascade.xmin, + rect_cascade.xmax, + rect_cascade.ymin, + rect_cascade.ymax, + la->clipsta, + la->clipend); + + mul_m4_m4m4(sh_data->viewprojmat[c], projmat, viewmat); + mul_m4_m4m4(cascade_data->shadowmat[c], texcomat, sh_data->viewprojmat[c]); #ifdef DEBUG_CSM - DRW_debug_m4_as_bbox(sh_data->viewprojmat[c], dbg_col, true); + DRW_debug_m4_as_bbox(sh_data->viewprojmat[c], dbg_col, true); #endif - } - - ubo_data->bias = 0.05f * la->bias; - ubo_data->near = la->clipsta; - ubo_data->far = la->clipend; - ubo_data->exp = (linfo->shadow_method == SHADOW_VSM) ? la->bleedbias : la->bleedexp; - - evli->shadowid = (float)(sh_data->shadow_id); - ubo_data->shadow_start = (float)(sh_data->layer_id); - ubo_data->data_start = (float)(sh_data->cascade_id); - ubo_data->shadow_blur = la->soft * 0.02f; /* Used by translucence shadowmap blur */ - - ubo_data->contact_dist = (la->mode & LA_SHAD_CONTACT) ? la->contact_dist : 0.0f; - ubo_data->contact_bias = 0.05f * la->contact_bias; - ubo_data->contact_spread = la->contact_spread; - ubo_data->contact_thickness = la->contact_thickness; + } + + ubo_data->bias = 0.05f * la->bias; + ubo_data->near = la->clipsta; + ubo_data->far = la->clipend; + ubo_data->exp = (linfo->shadow_method == SHADOW_VSM) ? la->bleedbias : la->bleedexp; + + evli->shadowid = (float)(sh_data->shadow_id); + ubo_data->shadow_start = (float)(sh_data->layer_id); + ubo_data->data_start = (float)(sh_data->cascade_id); + ubo_data->shadow_blur = la->soft * 0.02f; /* Used by translucence shadowmap blur */ + + ubo_data->contact_dist = (la->mode & LA_SHAD_CONTACT) ? la->contact_dist : 0.0f; + ubo_data->contact_bias = 0.05f * la->contact_bias; + ubo_data->contact_spread = la->contact_spread; + ubo_data->contact_thickness = la->contact_thickness; } /* Used for checking if object is inside the shadow volume. */ static bool sphere_bbox_intersect(const EEVEE_BoundSphere *bs, const EEVEE_BoundBox *bb) { - /* We are testing using a rougher AABB vs AABB test instead of full AABB vs Sphere. */ - /* TODO test speed with AABB vs Sphere. */ - bool x = fabsf(bb->center[0] - bs->center[0]) <= (bb->halfdim[0] + bs->radius); - bool y = fabsf(bb->center[1] - bs->center[1]) <= (bb->halfdim[1] + bs->radius); - bool z = fabsf(bb->center[2] - bs->center[2]) <= (bb->halfdim[2] + bs->radius); + /* We are testing using a rougher AABB vs AABB test instead of full AABB vs Sphere. */ + /* TODO test speed with AABB vs Sphere. */ + bool x = fabsf(bb->center[0] - bs->center[0]) <= (bb->halfdim[0] + bs->radius); + bool y = fabsf(bb->center[1] - bs->center[1]) <= (bb->halfdim[1] + bs->radius); + bool z = fabsf(bb->center[2] - bs->center[2]) <= (bb->halfdim[2] + bs->radius); - return x && y && z; + return x && y && z; } void EEVEE_lights_update(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_LightsInfo *linfo = sldata->lights; - Object *ob; - int i; - char *flag; - EEVEE_ShadowCaster *shcaster; - EEVEE_BoundSphere *bsphere; - EEVEE_ShadowCasterBuffer *frontbuffer = linfo->shcaster_frontbuffer; - EEVEE_ShadowCasterBuffer *backbuffer = linfo->shcaster_backbuffer; - - EEVEE_LightBits update_bits = {{0}}; - if ((linfo->update_flag & LIGHT_UPDATE_SHADOW_CUBE) != 0) { - /* Update all lights. */ - lightbits_set_all(&update_bits, true); - } - else { - /* Search for deleted shadow casters and if shcaster WAS in shadow radius. */ - /* No need to run this if we already update all lights. */ - EEVEE_LightBits past_bits = {{0}}; - EEVEE_LightBits curr_bits = {{0}}; - shcaster = backbuffer->shadow_casters; - flag = backbuffer->flags; - for (i = 0; i < backbuffer->count; ++i, ++flag, ++shcaster) { - /* If the shadowcaster has been deleted or updated. */ - if (*flag != 0) { - /* Add the lights that were intersecting with its BBox. */ - lightbits_or(&past_bits, &shcaster->bits); - } - } - /* Convert old bits to new bits and add result to final update bits. */ - /* NOTE: This might be overkill since all lights are tagged to refresh if - * the light count changes. */ - lightbits_convert(&curr_bits, &past_bits, linfo->new_shadow_id, MAX_LIGHT); - lightbits_or(&update_bits, &curr_bits); - } - - /* Search for updates in current shadow casters. */ - shcaster = frontbuffer->shadow_casters; - flag = frontbuffer->flags; - for (i = 0; i < frontbuffer->count; i++, flag++, shcaster++) { - /* Run intersection checks to fill the bitfields. */ - bsphere = linfo->shadow_bounds; - for (int j = 0; j < linfo->cpu_cube_len; j++, bsphere++) { - bool iter = sphere_bbox_intersect(bsphere, &shcaster->bbox); - lightbits_set_single(&shcaster->bits, j, iter); - } - /* Only add to final bits if objects has been updated. */ - if (*flag != 0) { - lightbits_or(&update_bits, &shcaster->bits); - } - } - - /* Setup shadow cube in UBO and tag for update if necessary. */ - for (i = 0; (i < MAX_SHADOW_CUBE) && (ob = linfo->shadow_cube_ref[i]); i++) { - EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); - - eevee_shadow_cube_setup(ob, linfo, led, effects->taa_current_sample - 1); - if (lightbits_get(&update_bits, i) != 0 || linfo->soft_shadows) { - led->need_update = true; - } - } - - /* Resize shcasters buffers if too big. */ - if (frontbuffer->alloc_count - frontbuffer->count > SHADOW_CASTER_ALLOC_CHUNK) { - frontbuffer->alloc_count = (frontbuffer->count / SHADOW_CASTER_ALLOC_CHUNK) * SHADOW_CASTER_ALLOC_CHUNK; - frontbuffer->alloc_count += (frontbuffer->count % SHADOW_CASTER_ALLOC_CHUNK != 0) ? SHADOW_CASTER_ALLOC_CHUNK : 0; - frontbuffer->shadow_casters = MEM_reallocN(frontbuffer->shadow_casters, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); - frontbuffer->flags = MEM_reallocN(frontbuffer->flags, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); - } + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_LightsInfo *linfo = sldata->lights; + Object *ob; + int i; + char *flag; + EEVEE_ShadowCaster *shcaster; + EEVEE_BoundSphere *bsphere; + EEVEE_ShadowCasterBuffer *frontbuffer = linfo->shcaster_frontbuffer; + EEVEE_ShadowCasterBuffer *backbuffer = linfo->shcaster_backbuffer; + + EEVEE_LightBits update_bits = {{0}}; + if ((linfo->update_flag & LIGHT_UPDATE_SHADOW_CUBE) != 0) { + /* Update all lights. */ + lightbits_set_all(&update_bits, true); + } + else { + /* Search for deleted shadow casters and if shcaster WAS in shadow radius. */ + /* No need to run this if we already update all lights. */ + EEVEE_LightBits past_bits = {{0}}; + EEVEE_LightBits curr_bits = {{0}}; + shcaster = backbuffer->shadow_casters; + flag = backbuffer->flags; + for (i = 0; i < backbuffer->count; ++i, ++flag, ++shcaster) { + /* If the shadowcaster has been deleted or updated. */ + if (*flag != 0) { + /* Add the lights that were intersecting with its BBox. */ + lightbits_or(&past_bits, &shcaster->bits); + } + } + /* Convert old bits to new bits and add result to final update bits. */ + /* NOTE: This might be overkill since all lights are tagged to refresh if + * the light count changes. */ + lightbits_convert(&curr_bits, &past_bits, linfo->new_shadow_id, MAX_LIGHT); + lightbits_or(&update_bits, &curr_bits); + } + + /* Search for updates in current shadow casters. */ + shcaster = frontbuffer->shadow_casters; + flag = frontbuffer->flags; + for (i = 0; i < frontbuffer->count; i++, flag++, shcaster++) { + /* Run intersection checks to fill the bitfields. */ + bsphere = linfo->shadow_bounds; + for (int j = 0; j < linfo->cpu_cube_len; j++, bsphere++) { + bool iter = sphere_bbox_intersect(bsphere, &shcaster->bbox); + lightbits_set_single(&shcaster->bits, j, iter); + } + /* Only add to final bits if objects has been updated. */ + if (*flag != 0) { + lightbits_or(&update_bits, &shcaster->bits); + } + } + + /* Setup shadow cube in UBO and tag for update if necessary. */ + for (i = 0; (i < MAX_SHADOW_CUBE) && (ob = linfo->shadow_cube_ref[i]); i++) { + EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); + + eevee_shadow_cube_setup(ob, linfo, led, effects->taa_current_sample - 1); + if (lightbits_get(&update_bits, i) != 0 || linfo->soft_shadows) { + led->need_update = true; + } + } + + /* Resize shcasters buffers if too big. */ + if (frontbuffer->alloc_count - frontbuffer->count > SHADOW_CASTER_ALLOC_CHUNK) { + frontbuffer->alloc_count = (frontbuffer->count / SHADOW_CASTER_ALLOC_CHUNK) * + SHADOW_CASTER_ALLOC_CHUNK; + frontbuffer->alloc_count += (frontbuffer->count % SHADOW_CASTER_ALLOC_CHUNK != 0) ? + SHADOW_CASTER_ALLOC_CHUNK : + 0; + frontbuffer->shadow_casters = MEM_reallocN( + frontbuffer->shadow_casters, sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); + frontbuffer->flags = MEM_reallocN(frontbuffer->flags, + sizeof(EEVEE_ShadowCaster) * frontbuffer->alloc_count); + } } /* this refresh lights shadow buffers */ void EEVEE_draw_shadows(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_LightsInfo *linfo = sldata->lights; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const float light_threshold = draw_ctx->scene->eevee.light_threshold; - Object *ob; - int i; - - DRWMatrixState saved_mats; - int saved_ray_type = sldata->common_data.ray_type; - - /* TODO: make it optionnal if we don't draw shadows. */ - sldata->common_data.ray_type = EEVEE_RAY_SHADOW; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - - /* Precompute all shadow/view test before rendering and trashing the culling cache. */ - bool cube_visible[MAX_SHADOW_CUBE]; - for (i = 0; (ob = linfo->shadow_cube_ref[i]) && (i < MAX_SHADOW_CUBE); i++) { - Light *la = (Light *)ob->data; - BoundSphere bsphere = { - .center = {ob->obmat[3][0], ob->obmat[3][1], ob->obmat[3][2]}, - .radius = light_attenuation_radius_get(la, light_threshold), - }; - cube_visible[i] = DRW_culling_sphere_test(&bsphere); - } - bool cascade_visible[MAX_SHADOW_CASCADE]; - for (i = 0; (ob = linfo->shadow_cascade_ref[i]) && (i < MAX_SHADOW_CASCADE); i++) { - EEVEE_LightEngineData *led = EEVEE_light_data_get(ob); - EEVEE_ShadowCascadeData *sh_data = &led->data.scad; - float plane[4]; - normalize_m4_m4(sh_data->viewmat, ob->obmat); - - plane_from_point_normal_v3(plane, sh_data->viewmat[3], sh_data->viewmat[2]); - /* TODO: check against near/far instead of "local Z = 0" plane. - * Or even the cascades AABB. */ - cascade_visible[i] = DRW_culling_plane_test(plane); - } - - /* We need to save the Matrices before overidding them */ - DRW_viewport_matrix_get_all(&saved_mats); - - /* Cube Shadow Maps */ - DRW_stats_group_start("Cube Shadow Maps"); - /* Render each shadow to one layer of the array */ - for (i = 0; (ob = linfo->shadow_cube_ref[i]) && (i < MAX_SHADOW_CUBE); i++) { - EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); - Light *la = (Light *)ob->data; - - if (!led->need_update || !cube_visible[i]) { - continue; - } - - DRWMatrixState render_mats; - float (*winmat)[4] = render_mats.mat[DRW_MAT_WIN]; - float (*viewmat)[4] = render_mats.mat[DRW_MAT_VIEW]; - float (*persmat)[4] = render_mats.mat[DRW_MAT_PERS]; - - EEVEE_ShadowRender *srd = &linfo->shadow_render_data; - EEVEE_ShadowCubeData *evscd = &led->data.scd; - EEVEE_ShadowCube *cube_data = linfo->shadow_cube_data + evscd->cube_id; - - srd->clip_near = la->clipsta; - srd->clip_far = light_attenuation_radius_get(la, light_threshold); - srd->stored_texel_size = 1.0 / (float)linfo->shadow_cube_store_size; - srd->exponent = la->bleedexp; - copy_v3_v3(srd->position, cube_data->position); - - perspective_m4(winmat, -srd->clip_near, srd->clip_near, -srd->clip_near, srd->clip_near, srd->clip_near, srd->clip_far); - - DRW_uniformbuffer_update(sldata->shadow_render_ubo, srd); - - /* Render shadow cube */ - /* Render 6 faces separately: seems to be faster for the general case. - * The only time it's more beneficial is when the CPU culling overhead - * outweigh the instancing overhead. which is rarely the case. */ - for (int j = 0; j < 6; j++) { - /* TODO optimize */ - float tmp[4][4]; - unit_m4(tmp); - negate_v3_v3(tmp[3], srd->position); - mul_m4_m4m4(viewmat, cubefacemat[j], tmp); - mul_m4_m4m4(persmat, winmat, viewmat); - invert_m4_m4(render_mats.mat[DRW_MAT_WININV], winmat); - invert_m4_m4(render_mats.mat[DRW_MAT_VIEWINV], viewmat); - invert_m4_m4(render_mats.mat[DRW_MAT_PERSINV], persmat); - - DRW_viewport_matrix_override_set_all(&render_mats); - - GPU_framebuffer_texture_cubeface_attach(sldata->shadow_cube_target_fb, - sldata->shadow_cube_target, 0, j, 0); - GPU_framebuffer_bind(sldata->shadow_cube_target_fb); - GPU_framebuffer_clear_depth(sldata->shadow_cube_target_fb, 1.0f); - DRW_draw_pass(psl->shadow_pass); - } - - /* 0.001f is arbitrary, but it should be relatively small so that filter size is not too big. */ - float filter_texture_size = la->soft * 0.001f; - float filter_pixel_size = ceil(filter_texture_size / srd->cube_texel_size); - linfo->filter_size = srd->cube_texel_size * ((filter_pixel_size > 1.0f) ? 1.5f : 0.0f); - - /* TODO: OPTI: Filter all faces in one/two draw call */ - /* TODO: OPTI: Don't do this intermediate step if no filter is needed. */ - for (linfo->current_shadow_face = 0; - linfo->current_shadow_face < 6; - linfo->current_shadow_face++) - { - /* Copy using a small 3x3 box filter */ - GPU_framebuffer_texture_cubeface_attach(sldata->shadow_cube_store_fb, sldata->shadow_cube_blur, 0, - linfo->current_shadow_face, 0); - GPU_framebuffer_bind(sldata->shadow_cube_store_fb); - DRW_draw_pass(psl->shadow_cube_copy_pass); - } - - /* Push it to shadowmap array */ - - /* Adjust constants if concentric samples change. */ - const float max_filter_size = 7.5f; - const float magic = 4.5f; /* Dunno why but that works. */ - const int max_sample = 256; - - if (filter_pixel_size > 2.0f) { - linfo->filter_size = srd->cube_texel_size * max_filter_size * magic; - filter_pixel_size = max_ff(0.0f, filter_pixel_size - 3.0f); - /* Compute number of concentric samples. Depends directly on filter size. */ - float pix_size_sqr = filter_pixel_size * filter_pixel_size; - srd->shadow_samples_len = min_ii(max_sample, 4 + 8 * (int)filter_pixel_size + 4 * (int)(pix_size_sqr)); - } - else { - linfo->filter_size = 0.0f; - srd->shadow_samples_len = 4; - } - srd->shadow_samples_len_inv = 1.0f / (float)srd->shadow_samples_len; - DRW_uniformbuffer_update(sldata->shadow_render_ubo, srd); - - GPU_framebuffer_texture_layer_attach(sldata->shadow_cube_store_fb, sldata->shadow_cube_pool, 0, evscd->layer_id, 0); - GPU_framebuffer_bind(sldata->shadow_cube_store_fb); - - DRWPass *store_pass = eevee_lights_cube_store_pass_get(psl, sldata, linfo->shadow_method, srd->shadow_samples_len); - DRW_draw_pass(store_pass); - - if (linfo->soft_shadows == false) { - led->need_update = false; - } - } - linfo->update_flag &= ~LIGHT_UPDATE_SHADOW_CUBE; - DRW_stats_group_end(); - - DRW_viewport_matrix_override_set_all(&saved_mats); - float near = DRW_viewport_near_distance_get(); - float far = DRW_viewport_far_distance_get(); - - /* Cascaded Shadow Maps */ - DRW_stats_group_start("Cascaded Shadow Maps"); - for (i = 0; (ob = linfo->shadow_cascade_ref[i]) && (i < MAX_SHADOW_CASCADE); i++) { - if (!cascade_visible[i]) { - continue; - } - - EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); - Light *la = (Light *)ob->data; - - EEVEE_ShadowCascadeData *evscd = &led->data.scad; - EEVEE_ShadowRender *srd = &linfo->shadow_render_data; - - DRWMatrixState render_mats; - float (*winmat)[4] = render_mats.mat[DRW_MAT_WIN]; - float (*viewmat)[4] = render_mats.mat[DRW_MAT_VIEW]; - float (*persmat)[4] = render_mats.mat[DRW_MAT_PERS]; - - eevee_shadow_cascade_setup(ob, linfo, led, &saved_mats, near, far, effects->taa_current_sample - 1); - - srd->clip_near = la->clipsta; - srd->clip_far = la->clipend; - srd->stored_texel_size = 1.0 / (float)linfo->shadow_cascade_size; - - DRW_uniformbuffer_update(sldata->shadow_render_ubo, &linfo->shadow_render_data); - - copy_m4_m4(viewmat, evscd->viewmat); - invert_m4_m4(render_mats.mat[DRW_MAT_VIEWINV], viewmat); - - /* Render shadow cascades */ - /* Render cascade separately: seems to be faster for the general case. - * The only time it's more beneficial is when the CPU culling overhead - * outweigh the instancing overhead. which is rarely the case. */ - for (int j = 0; j < la->cascade_count; j++) { - copy_m4_m4(winmat, evscd->projmat[j]); - copy_m4_m4(persmat, evscd->viewprojmat[j]); - invert_m4_m4(render_mats.mat[DRW_MAT_WININV], winmat); - invert_m4_m4(render_mats.mat[DRW_MAT_PERSINV], persmat); - - DRW_viewport_matrix_override_set_all(&render_mats); - - GPU_framebuffer_texture_layer_attach(sldata->shadow_cascade_target_fb, - sldata->shadow_cascade_target, 0, j, 0); - GPU_framebuffer_bind(sldata->shadow_cascade_target_fb); - GPU_framebuffer_clear_depth(sldata->shadow_cascade_target_fb, 1.0f); - DRW_draw_pass(psl->shadow_pass); - } - - /* TODO: OPTI: Filter all cascade in one/two draw call */ - for (linfo->current_shadow_cascade = 0; - linfo->current_shadow_cascade < la->cascade_count; - ++linfo->current_shadow_cascade) - { - /* 0.01f factor to convert to percentage */ - float filter_texture_size = la->soft * 0.01f / evscd->radius[linfo->current_shadow_cascade]; - float filter_pixel_size = ceil(linfo->shadow_cascade_size * filter_texture_size); - - /* Copy using a small 3x3 box filter */ - /* NOTE: We always do it in the case of CSM because of artifacts in the farthest cascade. */ - linfo->filter_size = srd->stored_texel_size; - GPU_framebuffer_texture_layer_attach( - sldata->shadow_cascade_store_fb, sldata->shadow_cascade_blur, 0, linfo->current_shadow_cascade, 0); - GPU_framebuffer_bind(sldata->shadow_cascade_store_fb); - DRW_draw_pass(psl->shadow_cascade_copy_pass); - - /* Push it to shadowmap array and blur more */ - - /* Adjust constants if concentric samples change. */ - const float max_filter_size = 7.5f; - const float magic = 3.2f; /* Arbitrary: less banding */ - const int max_sample = 256; - - if (filter_pixel_size > 2.0f) { - linfo->filter_size = srd->stored_texel_size * max_filter_size * magic; - filter_pixel_size = max_ff(0.0f, filter_pixel_size - 3.0f); - /* Compute number of concentric samples. Depends directly on filter size. */ - float pix_size_sqr = filter_pixel_size * filter_pixel_size; - srd->shadow_samples_len = min_ii(max_sample, 4 + 8 * (int)filter_pixel_size + 4 * (int)(pix_size_sqr)); - } - else { - linfo->filter_size = 0.0f; - srd->shadow_samples_len = 4; - } - srd->shadow_samples_len_inv = 1.0f / (float)srd->shadow_samples_len; - DRW_uniformbuffer_update(sldata->shadow_render_ubo, &linfo->shadow_render_data); - - int layer = evscd->layer_id + linfo->current_shadow_cascade; - GPU_framebuffer_texture_layer_attach(sldata->shadow_cascade_store_fb, sldata->shadow_cascade_pool, 0, layer, 0); - GPU_framebuffer_bind(sldata->shadow_cascade_store_fb); - - DRWPass *store_pass = eevee_lights_cascade_store_pass_get(psl, sldata, linfo->shadow_method, srd->shadow_samples_len); - DRW_draw_pass(store_pass); - } - } - - DRW_stats_group_end(); - - DRW_viewport_matrix_override_set_all(&saved_mats); - - DRW_uniformbuffer_update(sldata->light_ubo, &linfo->light_data); - DRW_uniformbuffer_update(sldata->shadow_ubo, &linfo->shadow_data); /* Update all data at once */ - - sldata->common_data.ray_type = saved_ray_type; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_LightsInfo *linfo = sldata->lights; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const float light_threshold = draw_ctx->scene->eevee.light_threshold; + Object *ob; + int i; + + DRWMatrixState saved_mats; + int saved_ray_type = sldata->common_data.ray_type; + + /* TODO: make it optionnal if we don't draw shadows. */ + sldata->common_data.ray_type = EEVEE_RAY_SHADOW; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + + /* Precompute all shadow/view test before rendering and trashing the culling cache. */ + bool cube_visible[MAX_SHADOW_CUBE]; + for (i = 0; (ob = linfo->shadow_cube_ref[i]) && (i < MAX_SHADOW_CUBE); i++) { + Light *la = (Light *)ob->data; + BoundSphere bsphere = { + .center = {ob->obmat[3][0], ob->obmat[3][1], ob->obmat[3][2]}, + .radius = light_attenuation_radius_get(la, light_threshold), + }; + cube_visible[i] = DRW_culling_sphere_test(&bsphere); + } + bool cascade_visible[MAX_SHADOW_CASCADE]; + for (i = 0; (ob = linfo->shadow_cascade_ref[i]) && (i < MAX_SHADOW_CASCADE); i++) { + EEVEE_LightEngineData *led = EEVEE_light_data_get(ob); + EEVEE_ShadowCascadeData *sh_data = &led->data.scad; + float plane[4]; + normalize_m4_m4(sh_data->viewmat, ob->obmat); + + plane_from_point_normal_v3(plane, sh_data->viewmat[3], sh_data->viewmat[2]); + /* TODO: check against near/far instead of "local Z = 0" plane. + * Or even the cascades AABB. */ + cascade_visible[i] = DRW_culling_plane_test(plane); + } + + /* We need to save the Matrices before overidding them */ + DRW_viewport_matrix_get_all(&saved_mats); + + /* Cube Shadow Maps */ + DRW_stats_group_start("Cube Shadow Maps"); + /* Render each shadow to one layer of the array */ + for (i = 0; (ob = linfo->shadow_cube_ref[i]) && (i < MAX_SHADOW_CUBE); i++) { + EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); + Light *la = (Light *)ob->data; + + if (!led->need_update || !cube_visible[i]) { + continue; + } + + DRWMatrixState render_mats; + float(*winmat)[4] = render_mats.mat[DRW_MAT_WIN]; + float(*viewmat)[4] = render_mats.mat[DRW_MAT_VIEW]; + float(*persmat)[4] = render_mats.mat[DRW_MAT_PERS]; + + EEVEE_ShadowRender *srd = &linfo->shadow_render_data; + EEVEE_ShadowCubeData *evscd = &led->data.scd; + EEVEE_ShadowCube *cube_data = linfo->shadow_cube_data + evscd->cube_id; + + srd->clip_near = la->clipsta; + srd->clip_far = light_attenuation_radius_get(la, light_threshold); + srd->stored_texel_size = 1.0 / (float)linfo->shadow_cube_store_size; + srd->exponent = la->bleedexp; + copy_v3_v3(srd->position, cube_data->position); + + perspective_m4(winmat, + -srd->clip_near, + srd->clip_near, + -srd->clip_near, + srd->clip_near, + srd->clip_near, + srd->clip_far); + + DRW_uniformbuffer_update(sldata->shadow_render_ubo, srd); + + /* Render shadow cube */ + /* Render 6 faces separately: seems to be faster for the general case. + * The only time it's more beneficial is when the CPU culling overhead + * outweigh the instancing overhead. which is rarely the case. */ + for (int j = 0; j < 6; j++) { + /* TODO optimize */ + float tmp[4][4]; + unit_m4(tmp); + negate_v3_v3(tmp[3], srd->position); + mul_m4_m4m4(viewmat, cubefacemat[j], tmp); + mul_m4_m4m4(persmat, winmat, viewmat); + invert_m4_m4(render_mats.mat[DRW_MAT_WININV], winmat); + invert_m4_m4(render_mats.mat[DRW_MAT_VIEWINV], viewmat); + invert_m4_m4(render_mats.mat[DRW_MAT_PERSINV], persmat); + + DRW_viewport_matrix_override_set_all(&render_mats); + + GPU_framebuffer_texture_cubeface_attach( + sldata->shadow_cube_target_fb, sldata->shadow_cube_target, 0, j, 0); + GPU_framebuffer_bind(sldata->shadow_cube_target_fb); + GPU_framebuffer_clear_depth(sldata->shadow_cube_target_fb, 1.0f); + DRW_draw_pass(psl->shadow_pass); + } + + /* 0.001f is arbitrary, but it should be relatively small so that filter size is not too big. */ + float filter_texture_size = la->soft * 0.001f; + float filter_pixel_size = ceil(filter_texture_size / srd->cube_texel_size); + linfo->filter_size = srd->cube_texel_size * ((filter_pixel_size > 1.0f) ? 1.5f : 0.0f); + + /* TODO: OPTI: Filter all faces in one/two draw call */ + /* TODO: OPTI: Don't do this intermediate step if no filter is needed. */ + for (linfo->current_shadow_face = 0; linfo->current_shadow_face < 6; + linfo->current_shadow_face++) { + /* Copy using a small 3x3 box filter */ + GPU_framebuffer_texture_cubeface_attach(sldata->shadow_cube_store_fb, + sldata->shadow_cube_blur, + 0, + linfo->current_shadow_face, + 0); + GPU_framebuffer_bind(sldata->shadow_cube_store_fb); + DRW_draw_pass(psl->shadow_cube_copy_pass); + } + + /* Push it to shadowmap array */ + + /* Adjust constants if concentric samples change. */ + const float max_filter_size = 7.5f; + const float magic = 4.5f; /* Dunno why but that works. */ + const int max_sample = 256; + + if (filter_pixel_size > 2.0f) { + linfo->filter_size = srd->cube_texel_size * max_filter_size * magic; + filter_pixel_size = max_ff(0.0f, filter_pixel_size - 3.0f); + /* Compute number of concentric samples. Depends directly on filter size. */ + float pix_size_sqr = filter_pixel_size * filter_pixel_size; + srd->shadow_samples_len = min_ii(max_sample, + 4 + 8 * (int)filter_pixel_size + 4 * (int)(pix_size_sqr)); + } + else { + linfo->filter_size = 0.0f; + srd->shadow_samples_len = 4; + } + srd->shadow_samples_len_inv = 1.0f / (float)srd->shadow_samples_len; + DRW_uniformbuffer_update(sldata->shadow_render_ubo, srd); + + GPU_framebuffer_texture_layer_attach( + sldata->shadow_cube_store_fb, sldata->shadow_cube_pool, 0, evscd->layer_id, 0); + GPU_framebuffer_bind(sldata->shadow_cube_store_fb); + + DRWPass *store_pass = eevee_lights_cube_store_pass_get( + psl, sldata, linfo->shadow_method, srd->shadow_samples_len); + DRW_draw_pass(store_pass); + + if (linfo->soft_shadows == false) { + led->need_update = false; + } + } + linfo->update_flag &= ~LIGHT_UPDATE_SHADOW_CUBE; + DRW_stats_group_end(); + + DRW_viewport_matrix_override_set_all(&saved_mats); + float near = DRW_viewport_near_distance_get(); + float far = DRW_viewport_far_distance_get(); + + /* Cascaded Shadow Maps */ + DRW_stats_group_start("Cascaded Shadow Maps"); + for (i = 0; (ob = linfo->shadow_cascade_ref[i]) && (i < MAX_SHADOW_CASCADE); i++) { + if (!cascade_visible[i]) { + continue; + } + + EEVEE_LightEngineData *led = EEVEE_light_data_ensure(ob); + Light *la = (Light *)ob->data; + + EEVEE_ShadowCascadeData *evscd = &led->data.scad; + EEVEE_ShadowRender *srd = &linfo->shadow_render_data; + + DRWMatrixState render_mats; + float(*winmat)[4] = render_mats.mat[DRW_MAT_WIN]; + float(*viewmat)[4] = render_mats.mat[DRW_MAT_VIEW]; + float(*persmat)[4] = render_mats.mat[DRW_MAT_PERS]; + + eevee_shadow_cascade_setup( + ob, linfo, led, &saved_mats, near, far, effects->taa_current_sample - 1); + + srd->clip_near = la->clipsta; + srd->clip_far = la->clipend; + srd->stored_texel_size = 1.0 / (float)linfo->shadow_cascade_size; + + DRW_uniformbuffer_update(sldata->shadow_render_ubo, &linfo->shadow_render_data); + + copy_m4_m4(viewmat, evscd->viewmat); + invert_m4_m4(render_mats.mat[DRW_MAT_VIEWINV], viewmat); + + /* Render shadow cascades */ + /* Render cascade separately: seems to be faster for the general case. + * The only time it's more beneficial is when the CPU culling overhead + * outweigh the instancing overhead. which is rarely the case. */ + for (int j = 0; j < la->cascade_count; j++) { + copy_m4_m4(winmat, evscd->projmat[j]); + copy_m4_m4(persmat, evscd->viewprojmat[j]); + invert_m4_m4(render_mats.mat[DRW_MAT_WININV], winmat); + invert_m4_m4(render_mats.mat[DRW_MAT_PERSINV], persmat); + + DRW_viewport_matrix_override_set_all(&render_mats); + + GPU_framebuffer_texture_layer_attach( + sldata->shadow_cascade_target_fb, sldata->shadow_cascade_target, 0, j, 0); + GPU_framebuffer_bind(sldata->shadow_cascade_target_fb); + GPU_framebuffer_clear_depth(sldata->shadow_cascade_target_fb, 1.0f); + DRW_draw_pass(psl->shadow_pass); + } + + /* TODO: OPTI: Filter all cascade in one/two draw call */ + for (linfo->current_shadow_cascade = 0; linfo->current_shadow_cascade < la->cascade_count; + ++linfo->current_shadow_cascade) { + /* 0.01f factor to convert to percentage */ + float filter_texture_size = la->soft * 0.01f / evscd->radius[linfo->current_shadow_cascade]; + float filter_pixel_size = ceil(linfo->shadow_cascade_size * filter_texture_size); + + /* Copy using a small 3x3 box filter */ + /* NOTE: We always do it in the case of CSM because of artifacts in the farthest cascade. */ + linfo->filter_size = srd->stored_texel_size; + GPU_framebuffer_texture_layer_attach(sldata->shadow_cascade_store_fb, + sldata->shadow_cascade_blur, + 0, + linfo->current_shadow_cascade, + 0); + GPU_framebuffer_bind(sldata->shadow_cascade_store_fb); + DRW_draw_pass(psl->shadow_cascade_copy_pass); + + /* Push it to shadowmap array and blur more */ + + /* Adjust constants if concentric samples change. */ + const float max_filter_size = 7.5f; + const float magic = 3.2f; /* Arbitrary: less banding */ + const int max_sample = 256; + + if (filter_pixel_size > 2.0f) { + linfo->filter_size = srd->stored_texel_size * max_filter_size * magic; + filter_pixel_size = max_ff(0.0f, filter_pixel_size - 3.0f); + /* Compute number of concentric samples. Depends directly on filter size. */ + float pix_size_sqr = filter_pixel_size * filter_pixel_size; + srd->shadow_samples_len = min_ii(max_sample, + 4 + 8 * (int)filter_pixel_size + 4 * (int)(pix_size_sqr)); + } + else { + linfo->filter_size = 0.0f; + srd->shadow_samples_len = 4; + } + srd->shadow_samples_len_inv = 1.0f / (float)srd->shadow_samples_len; + DRW_uniformbuffer_update(sldata->shadow_render_ubo, &linfo->shadow_render_data); + + int layer = evscd->layer_id + linfo->current_shadow_cascade; + GPU_framebuffer_texture_layer_attach( + sldata->shadow_cascade_store_fb, sldata->shadow_cascade_pool, 0, layer, 0); + GPU_framebuffer_bind(sldata->shadow_cascade_store_fb); + + DRWPass *store_pass = eevee_lights_cascade_store_pass_get( + psl, sldata, linfo->shadow_method, srd->shadow_samples_len); + DRW_draw_pass(store_pass); + } + } + + DRW_stats_group_end(); + + DRW_viewport_matrix_override_set_all(&saved_mats); + + DRW_uniformbuffer_update(sldata->light_ubo, &linfo->light_data); + DRW_uniformbuffer_update(sldata->shadow_ubo, &linfo->shadow_data); /* Update all data at once */ + + sldata->common_data.ray_type = saved_ray_type; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); } void EEVEE_lights_free(void) { - DRW_SHADER_FREE_SAFE(e_data.shadow_sh); - for (int i = 0; i < SHADOW_METHOD_MAX; ++i) { - DRW_SHADER_FREE_SAFE(e_data.shadow_store_cube_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.shadow_store_cube_high_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.shadow_store_cascade_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.shadow_store_cascade_high_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.shadow_copy_cube_sh[i]); - DRW_SHADER_FREE_SAFE(e_data.shadow_copy_cascade_sh[i]); - } + DRW_SHADER_FREE_SAFE(e_data.shadow_sh); + for (int i = 0; i < SHADOW_METHOD_MAX; ++i) { + DRW_SHADER_FREE_SAFE(e_data.shadow_store_cube_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.shadow_store_cube_high_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.shadow_store_cascade_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.shadow_store_cascade_high_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.shadow_copy_cube_sh[i]); + DRW_SHADER_FREE_SAFE(e_data.shadow_copy_cascade_sh[i]); + } } diff --git a/source/blender/draw/engines/eevee/eevee_lookdev.c b/source/blender/draw/engines/eevee/eevee_lookdev.c index 4a5b4817c51..b000eebb92e 100644 --- a/source/blender/draw/engines/eevee/eevee_lookdev.c +++ b/source/blender/draw/engines/eevee/eevee_lookdev.c @@ -40,208 +40,212 @@ static void eevee_lookdev_lightcache_delete(EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PrivateData *g_data = stl->g_data; - EEVEE_TextureList *txl = vedata->txl; - - MEM_SAFE_FREE(stl->lookdev_lightcache); - MEM_SAFE_FREE(stl->lookdev_grid_data); - MEM_SAFE_FREE(stl->lookdev_cube_data); - DRW_TEXTURE_FREE_SAFE(txl->lookdev_grid_tx); - DRW_TEXTURE_FREE_SAFE(txl->lookdev_cube_tx); - g_data->studiolight_index = -1; - g_data->studiolight_rot_z = 0.0f; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PrivateData *g_data = stl->g_data; + EEVEE_TextureList *txl = vedata->txl; + + MEM_SAFE_FREE(stl->lookdev_lightcache); + MEM_SAFE_FREE(stl->lookdev_grid_data); + MEM_SAFE_FREE(stl->lookdev_cube_data); + DRW_TEXTURE_FREE_SAFE(txl->lookdev_grid_tx); + DRW_TEXTURE_FREE_SAFE(txl->lookdev_cube_tx); + g_data->studiolight_index = -1; + g_data->studiolight_rot_z = 0.0f; } -void EEVEE_lookdev_cache_init( - EEVEE_Data *vedata, DRWShadingGroup **grp, DRWPass *pass, - float background_alpha, - World *UNUSED(world), EEVEE_LightProbesInfo *pinfo) +void EEVEE_lookdev_cache_init(EEVEE_Data *vedata, + DRWShadingGroup **grp, + DRWPass *pass, + float background_alpha, + World *UNUSED(world), + EEVEE_LightProbesInfo *pinfo) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_PrivateData *g_data = stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - Scene *scene = draw_ctx->scene; - - if (LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d)) { - StudioLight *sl = BKE_studiolight_find(v3d->shading.lookdev_light, STUDIOLIGHT_ORIENTATIONS_MATERIAL_MODE); - if (sl && (sl->flag & STUDIOLIGHT_TYPE_WORLD)) { - GPUShader *shader = EEVEE_shaders_default_studiolight_sh_get(); - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - GPUTexture *tex = NULL; - - /* If one of the component is missing we start from scratch. */ - if ((stl->lookdev_grid_data == NULL) || - (stl->lookdev_cube_data == NULL) || - (txl->lookdev_grid_tx == NULL) || - (txl->lookdev_cube_tx == NULL)) - { - eevee_lookdev_lightcache_delete(vedata); - } - - if (stl->lookdev_lightcache == NULL) { - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_PrivateData *g_data = stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + Scene *scene = draw_ctx->scene; + + if (LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d)) { + StudioLight *sl = BKE_studiolight_find(v3d->shading.lookdev_light, + STUDIOLIGHT_ORIENTATIONS_MATERIAL_MODE); + if (sl && (sl->flag & STUDIOLIGHT_TYPE_WORLD)) { + GPUShader *shader = EEVEE_shaders_default_studiolight_sh_get(); + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + GPUTexture *tex = NULL; + + /* If one of the component is missing we start from scratch. */ + if ((stl->lookdev_grid_data == NULL) || (stl->lookdev_cube_data == NULL) || + (txl->lookdev_grid_tx == NULL) || (txl->lookdev_cube_tx == NULL)) { + eevee_lookdev_lightcache_delete(vedata); + } + + if (stl->lookdev_lightcache == NULL) { + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); #if defined(IRRADIANCE_SH_L2) - int grid_res = 4; + int grid_res = 4; #elif defined(IRRADIANCE_CUBEMAP) - int grid_res = 8; + int grid_res = 8; #elif defined(IRRADIANCE_HL2) - int grid_res = 4; + int grid_res = 4; #endif - int cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(scene_eval->eevee.gi_cubemap_resolution); - int vis_res = scene_eval->eevee.gi_visibility_resolution; - - stl->lookdev_lightcache = EEVEE_lightcache_create(1, 1, cube_res, vis_res, (int[3]){grid_res, grid_res, 1}); - - /* XXX: Fix memleak. TODO find out why. */ - MEM_SAFE_FREE(stl->lookdev_cube_mips); - - /* We do this to use a special light cache for lookdev. - * This lightcache needs to be per viewport. But we need to - * have correct freeing when the viewport is closed. So we - * need to reference all textures to the txl and the memblocks - * to the stl. */ - stl->lookdev_grid_data = stl->lookdev_lightcache->grid_data; - stl->lookdev_cube_data = stl->lookdev_lightcache->cube_data; - stl->lookdev_cube_mips = stl->lookdev_lightcache->cube_mips; - txl->lookdev_grid_tx = stl->lookdev_lightcache->grid_tx.tex; - txl->lookdev_cube_tx = stl->lookdev_lightcache->cube_tx.tex; - } - - stl->g_data->light_cache = stl->lookdev_lightcache; - - static float background_color[4]; - UI_GetThemeColor4fv(TH_BACK, background_color); - /* XXX: Really quick conversion to avoid washed out background. - * Needs to be addressed properly (color managed using ocio). */ - srgb_to_linearrgb_v4(background_color, background_color); - - *grp = DRW_shgroup_create(shader, pass); - axis_angle_to_mat3_single(stl->g_data->studiolight_matrix, 'Z', v3d->shading.studiolight_rot_z); - DRW_shgroup_uniform_mat3(*grp, "StudioLightMatrix", stl->g_data->studiolight_matrix); - DRW_shgroup_uniform_float_copy(*grp, "backgroundAlpha", background_alpha); - DRW_shgroup_uniform_vec3(*grp, "color", background_color, 1); - DRW_shgroup_call_add(*grp, geom, NULL); - if (!pinfo) { - /* Do not fadeout when doing probe rendering, only when drawing the background */ - DRW_shgroup_uniform_float(*grp, "studioLightBackground", &v3d->shading.studiolight_background, 1); - BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_EQUIRECT_IRRADIANCE_GPUTEXTURE); - tex = sl->equirect_irradiance_gputexture; - } - else { - DRW_shgroup_uniform_float_copy(*grp, "studioLightBackground", 1.0f); - BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); - tex = sl->equirect_radiance_gputexture; - } - DRW_shgroup_uniform_texture(*grp, "image", tex); - - /* Do we need to recalc the lightprobes? */ - if (g_data->studiolight_index != sl->index || - g_data->studiolight_rot_z != v3d->shading.studiolight_rot_z || - g_data->studiolight_cubemap_res != scene->eevee.gi_cubemap_resolution || - g_data->studiolight_glossy_clamp != scene->eevee.gi_glossy_clamp || - g_data->studiolight_filter_quality != scene->eevee.gi_filter_quality) - { - stl->lookdev_lightcache->flag |= LIGHTCACHE_UPDATE_WORLD; - g_data->studiolight_index = sl->index; - g_data->studiolight_rot_z = v3d->shading.studiolight_rot_z; - g_data->studiolight_cubemap_res = scene->eevee.gi_cubemap_resolution; - g_data->studiolight_glossy_clamp = scene->eevee.gi_glossy_clamp; - g_data->studiolight_filter_quality = scene->eevee.gi_filter_quality; - } - } - } + int cube_res = OCTAHEDRAL_SIZE_FROM_CUBESIZE(scene_eval->eevee.gi_cubemap_resolution); + int vis_res = scene_eval->eevee.gi_visibility_resolution; + + stl->lookdev_lightcache = EEVEE_lightcache_create( + 1, 1, cube_res, vis_res, (int[3]){grid_res, grid_res, 1}); + + /* XXX: Fix memleak. TODO find out why. */ + MEM_SAFE_FREE(stl->lookdev_cube_mips); + + /* We do this to use a special light cache for lookdev. + * This lightcache needs to be per viewport. But we need to + * have correct freeing when the viewport is closed. So we + * need to reference all textures to the txl and the memblocks + * to the stl. */ + stl->lookdev_grid_data = stl->lookdev_lightcache->grid_data; + stl->lookdev_cube_data = stl->lookdev_lightcache->cube_data; + stl->lookdev_cube_mips = stl->lookdev_lightcache->cube_mips; + txl->lookdev_grid_tx = stl->lookdev_lightcache->grid_tx.tex; + txl->lookdev_cube_tx = stl->lookdev_lightcache->cube_tx.tex; + } + + stl->g_data->light_cache = stl->lookdev_lightcache; + + static float background_color[4]; + UI_GetThemeColor4fv(TH_BACK, background_color); + /* XXX: Really quick conversion to avoid washed out background. + * Needs to be addressed properly (color managed using ocio). */ + srgb_to_linearrgb_v4(background_color, background_color); + + *grp = DRW_shgroup_create(shader, pass); + axis_angle_to_mat3_single( + stl->g_data->studiolight_matrix, 'Z', v3d->shading.studiolight_rot_z); + DRW_shgroup_uniform_mat3(*grp, "StudioLightMatrix", stl->g_data->studiolight_matrix); + DRW_shgroup_uniform_float_copy(*grp, "backgroundAlpha", background_alpha); + DRW_shgroup_uniform_vec3(*grp, "color", background_color, 1); + DRW_shgroup_call_add(*grp, geom, NULL); + if (!pinfo) { + /* Do not fadeout when doing probe rendering, only when drawing the background */ + DRW_shgroup_uniform_float( + *grp, "studioLightBackground", &v3d->shading.studiolight_background, 1); + BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_EQUIRECT_IRRADIANCE_GPUTEXTURE); + tex = sl->equirect_irradiance_gputexture; + } + else { + DRW_shgroup_uniform_float_copy(*grp, "studioLightBackground", 1.0f); + BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); + tex = sl->equirect_radiance_gputexture; + } + DRW_shgroup_uniform_texture(*grp, "image", tex); + + /* Do we need to recalc the lightprobes? */ + if (g_data->studiolight_index != sl->index || + g_data->studiolight_rot_z != v3d->shading.studiolight_rot_z || + g_data->studiolight_cubemap_res != scene->eevee.gi_cubemap_resolution || + g_data->studiolight_glossy_clamp != scene->eevee.gi_glossy_clamp || + g_data->studiolight_filter_quality != scene->eevee.gi_filter_quality) { + stl->lookdev_lightcache->flag |= LIGHTCACHE_UPDATE_WORLD; + g_data->studiolight_index = sl->index; + g_data->studiolight_rot_z = v3d->shading.studiolight_rot_z; + g_data->studiolight_cubemap_res = scene->eevee.gi_cubemap_resolution; + g_data->studiolight_glossy_clamp = scene->eevee.gi_glossy_clamp; + g_data->studiolight_filter_quality = scene->eevee.gi_filter_quality; + } + } + } } void EEVEE_lookdev_draw_background(EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - - if (psl->lookdev_pass && LOOK_DEV_OVERLAY_ENABLED(draw_ctx->v3d)) { - DRW_stats_group_start("Look Dev"); - CameraParams params; - BKE_camera_params_init(¶ms); - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - ARegion *ar = draw_ctx->ar; - - const float *viewport_size = DRW_viewport_size_get(); - rcti rect; - ED_region_visible_rect(draw_ctx->ar, &rect); - - const float viewport_size_target[2] = { - viewport_size[0] / 4, - viewport_size[1] / 4, - }; - const int viewport_inset[2] = { - max_ii(viewport_size_target[0], 300), - max_ii(viewport_size_target[0], 300) / 2, /* intentionally use 'x' here for 'y' value. */ - }; - - /* minimum size for preview spheres viewport */ - const float aspect[2] = { - viewport_inset[0] / viewport_size_target[0], - viewport_inset[1] / viewport_size_target[1], - }; - - BKE_camera_params_from_view3d(¶ms, draw_ctx->depsgraph, v3d, rv3d); - params.is_ortho = true; - params.ortho_scale = 3.0f; - params.zoom = CAMERA_PARAM_ZOOM_INIT_PERSP; - params.offsetx = 0.0f; - params.offsety = 0.0f; - params.shiftx = 0.0f; - params.shifty = 0.0f; - params.clip_start = 0.001f; - params.clip_end = 20.0f; - BKE_camera_params_compute_viewplane(¶ms, ar->winx, ar->winy, aspect[0], aspect[1]); - BKE_camera_params_compute_matrix(¶ms); - - EEVEE_CommonUniformBuffer *common = &sldata->common_data; - common->la_num_light = 0; - common->prb_num_planar = 0; - common->prb_num_render_cube = 1; - common->prb_num_render_grid = 1; - common->ao_dist = 0.0f; - common->ao_factor = 0.0f; - common->ao_settings = 0.0f; - DRW_uniformbuffer_update(sldata->common_ubo, common); - - /* override matrices */ - float winmat[4][4]; - float winmat_inv[4][4]; - copy_m4_m4(winmat, params.winmat); - invert_m4_m4(winmat_inv, winmat); - DRW_viewport_matrix_override_set(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(winmat_inv, DRW_MAT_WININV); - float viewmat[4][4]; - DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); - float persmat[4][4]; - float persmat_inv[4][4]; - mul_m4_m4m4(persmat, winmat, viewmat); - invert_m4_m4(persmat_inv, persmat); - DRW_viewport_matrix_override_set(persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(persmat_inv, DRW_MAT_PERSINV); - - GPUFrameBuffer *fb = effects->final_fb; - GPU_framebuffer_bind(fb); - GPU_framebuffer_viewport_set(fb, rect.xmax - viewport_inset[0], rect.ymin, viewport_inset[0], viewport_inset[1]); - DRW_draw_pass(psl->lookdev_pass); - - fb = dfbl->depth_only_fb; - GPU_framebuffer_bind(fb); - GPU_framebuffer_viewport_set(fb, rect.xmax - viewport_inset[0], rect.ymin, viewport_inset[0], viewport_inset[1]); - DRW_draw_pass(psl->lookdev_pass); - - DRW_viewport_matrix_override_unset_all(); - DRW_stats_group_end(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (psl->lookdev_pass && LOOK_DEV_OVERLAY_ENABLED(draw_ctx->v3d)) { + DRW_stats_group_start("Look Dev"); + CameraParams params; + BKE_camera_params_init(¶ms); + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + ARegion *ar = draw_ctx->ar; + + const float *viewport_size = DRW_viewport_size_get(); + rcti rect; + ED_region_visible_rect(draw_ctx->ar, &rect); + + const float viewport_size_target[2] = { + viewport_size[0] / 4, + viewport_size[1] / 4, + }; + const int viewport_inset[2] = { + max_ii(viewport_size_target[0], 300), + max_ii(viewport_size_target[0], 300) / 2, /* intentionally use 'x' here for 'y' value. */ + }; + + /* minimum size for preview spheres viewport */ + const float aspect[2] = { + viewport_inset[0] / viewport_size_target[0], + viewport_inset[1] / viewport_size_target[1], + }; + + BKE_camera_params_from_view3d(¶ms, draw_ctx->depsgraph, v3d, rv3d); + params.is_ortho = true; + params.ortho_scale = 3.0f; + params.zoom = CAMERA_PARAM_ZOOM_INIT_PERSP; + params.offsetx = 0.0f; + params.offsety = 0.0f; + params.shiftx = 0.0f; + params.shifty = 0.0f; + params.clip_start = 0.001f; + params.clip_end = 20.0f; + BKE_camera_params_compute_viewplane(¶ms, ar->winx, ar->winy, aspect[0], aspect[1]); + BKE_camera_params_compute_matrix(¶ms); + + EEVEE_CommonUniformBuffer *common = &sldata->common_data; + common->la_num_light = 0; + common->prb_num_planar = 0; + common->prb_num_render_cube = 1; + common->prb_num_render_grid = 1; + common->ao_dist = 0.0f; + common->ao_factor = 0.0f; + common->ao_settings = 0.0f; + DRW_uniformbuffer_update(sldata->common_ubo, common); + + /* override matrices */ + float winmat[4][4]; + float winmat_inv[4][4]; + copy_m4_m4(winmat, params.winmat); + invert_m4_m4(winmat_inv, winmat); + DRW_viewport_matrix_override_set(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(winmat_inv, DRW_MAT_WININV); + float viewmat[4][4]; + DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); + float persmat[4][4]; + float persmat_inv[4][4]; + mul_m4_m4m4(persmat, winmat, viewmat); + invert_m4_m4(persmat_inv, persmat); + DRW_viewport_matrix_override_set(persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(persmat_inv, DRW_MAT_PERSINV); + + GPUFrameBuffer *fb = effects->final_fb; + GPU_framebuffer_bind(fb); + GPU_framebuffer_viewport_set( + fb, rect.xmax - viewport_inset[0], rect.ymin, viewport_inset[0], viewport_inset[1]); + DRW_draw_pass(psl->lookdev_pass); + + fb = dfbl->depth_only_fb; + GPU_framebuffer_bind(fb); + GPU_framebuffer_viewport_set( + fb, rect.xmax - viewport_inset[0], rect.ymin, viewport_inset[0], viewport_inset[1]); + DRW_draw_pass(psl->lookdev_pass); + + DRW_viewport_matrix_override_unset_all(); + DRW_stats_group_end(); + } } diff --git a/source/blender/draw/engines/eevee/eevee_lut.h b/source/blender/draw/engines/eevee/eevee_lut.h index d3ba50ba71b..9b9adc2b7d3 100644 --- a/source/blender/draw/engines/eevee/eevee_lut.h +++ b/source/blender/draw/engines/eevee/eevee_lut.h @@ -25,17685 +25,23011 @@ #define __EEVEE_LUT_H__ static float ltc_mat_ggx[64 * 64 * 4] = { - 1.000000, 0.000000, 0.000000, 0.000020, 1.000000, 0.000000, 0.000000, 0.000504, - 1.000000, 0.000000, 0.000000, 0.002016, 1.000000, 0.000000, 0.000000, 0.004535, - 1.000000, 0.000000, 0.000000, 0.008063, 1.000000, 0.000000, 0.000000, 0.012598, - 1.000000, 0.000000, 0.000000, 0.018141, 1.000000, 0.000000, 0.000000, 0.024692, - 1.000000, 0.000000, 0.000000, 0.032253, 1.000000, 0.000000, 0.000000, 0.040821, - 1.000000, 0.000000, 0.000000, 0.050400, 1.000000, 0.000000, 0.000000, 0.060989, - 1.000000, 0.000000, 0.000000, 0.072591, 1.000000, 0.000000, 0.000000, 0.085206, - 1.000000, 0.000000, 0.000000, 0.098836, 1.000000, 0.000000, 0.000000, 0.113484, - 1.000000, 0.000000, 0.000000, 0.129153, 1.000000, 0.000000, 0.000000, 0.145839, - 1.000000, 0.000000, 0.000000, 0.163548, 1.000000, 0.000000, 0.000000, 0.182266, - 1.000000, 0.000000, 0.000000, 0.201942, 1.000000, 0.000000, 0.000000, 0.222314, - 1.000000, 0.000000, 0.000000, 0.241906, 1.000000, 0.000000, 0.000000, 0.262314, - 1.000000, 0.000000, 0.000000, 0.285754, 1.000000, 0.000000, 0.000000, 0.310159, - 1.000000, 0.000000, 0.000000, 0.335426, 1.000000, 0.000000, 0.000000, 0.361341, - 1.000000, 0.000000, 0.000000, 0.387445, 1.000000, 0.000000, 0.000000, 0.412784, - 1.000000, 0.000000, 0.000000, 0.438197, 1.000000, 0.000000, 0.000000, 0.466966, - 1.000000, 0.000000, 0.000000, 0.495590, 1.000000, 0.000000, 0.000000, 0.523448, - 1.000000, 0.000000, 0.000000, 0.549938, 1.000000, 0.000000, 0.000000, 0.579790, - 1.000000, 0.000000, 0.000000, 0.608746, 1.000000, 0.000000, 0.000000, 0.636185, - 1.000000, 0.000000, 0.000000, 0.664748, 1.000000, 0.000000, 0.000000, 0.693130, - 1.000000, 0.000000, 0.000000, 0.719660, 1.000000, 0.000000, 0.000000, 0.747662, - 1.000000, 0.000000, 0.000000, 0.774023, 1.000000, 0.000000, 0.000000, 0.799775, - 1.000000, 0.000000, 0.000000, 0.825274, 1.000000, 0.000000, 0.000000, 0.849156, - 1.000000, 0.000000, 0.000000, 0.873248, 1.000000, 0.000000, 0.000000, 0.895320, - 1.000000, 0.000000, 0.000000, 0.917565, 1.000000, 0.000000, 0.000000, 0.937863, - 1.000000, 0.000000, 0.000000, 0.958139, 1.000000, 0.000000, 0.000000, 0.976563, - 1.000000, 0.000000, 0.000000, 0.994658, 1.000000, 0.000000, 0.000000, 1.011200, - 1.000000, 0.000000, 0.000000, 1.027120, 1.000000, 0.000000, 0.000000, 1.041890, - 1.000000, 0.000000, 0.000000, 1.055680, 1.000000, 0.000000, 0.000000, 1.068770, - 1.000000, 0.000000, 0.000000, 1.080580, 1.000000, 0.000000, 0.000000, 1.091940, - 1.000000, 0.000000, 0.000000, 1.101910, 1.000000, 0.000000, 0.000000, 1.111610, - 1.000000, 0.000000, 0.000000, 1.119900, 1.000000, 0.000000, 0.000000, 1.128130, - 0.999547, -0.000000, 0.022442, 0.000020, 0.999495, -0.000011, 0.022441, 0.000504, - 0.999496, -0.000045, 0.022441, 0.002015, 0.999496, -0.000102, 0.022441, 0.004533, - 0.999495, -0.000181, 0.022441, 0.008058, 0.999497, -0.000283, 0.022441, 0.012591, - 0.999496, -0.000407, 0.022441, 0.018132, 0.999498, -0.000554, 0.022441, 0.024680, - 0.999499, -0.000724, 0.022441, 0.032236, 0.999495, -0.000916, 0.022440, 0.040801, - 0.999499, -0.001131, 0.022441, 0.050375, 0.999494, -0.001369, 0.022440, 0.060959, - 0.999489, -0.001629, 0.022440, 0.072554, 0.999489, -0.001912, 0.022441, 0.085162, - 0.999498, -0.002218, 0.022441, 0.098787, 0.999492, -0.002546, 0.022441, 0.113426, - 0.999507, -0.002898, 0.022442, 0.129088, 0.999494, -0.003272, 0.022439, 0.145767, - 0.999546, -0.003667, 0.022442, 0.163472, 0.999543, -0.004082, 0.022439, 0.182182, - 0.999499, -0.004501, 0.022434, 0.201843, 0.999503, -0.004837, 0.022420, 0.222198, - 0.999546, -0.004529, 0.022315, 0.241714, 0.999508, -0.005874, 0.022433, 0.262184, - 0.999509, -0.006388, 0.022427, 0.285609, 0.999501, -0.006910, 0.022417, 0.309998, - 0.999539, -0.007420, 0.022399, 0.335262, 0.999454, -0.007863, 0.022367, 0.361154, - 0.999529, -0.008119, 0.022283, 0.387224, 0.999503, -0.007999, 0.022106, 0.412520, - 0.999561, -0.009528, 0.022306, 0.438006, 0.999557, -0.009913, 0.022207, 0.466735, - 0.999541, -0.010094, 0.022040, 0.495332, 0.999562, -0.009968, 0.021807, 0.523197, - 0.999556, -0.010503, 0.021710, 0.550223, 0.999561, -0.011419, 0.021722, 0.579498, - 0.999588, -0.011182, 0.021336, 0.608416, 0.999633, -0.010773, 0.020869, 0.635965, - 0.999527, -0.012167, 0.021015, 0.664476, 0.999508, -0.011600, 0.020431, 0.692786, - 0.999568, -0.011560, 0.019979, 0.719709, 0.999671, -0.012112, 0.019741, 0.747370, - 0.999688, -0.011077, 0.018885, 0.773692, 0.999620, -0.012237, 0.018845, 0.799534, - 0.999823, -0.011033, 0.017800, 0.825046, 0.999599, -0.011492, 0.017422, 0.849075, - 0.999619, -0.010592, 0.016435, 0.872999, 0.999613, -0.010599, 0.015823, 0.895371, - 0.999640, -0.009799, 0.014813, 0.917364, 0.999770, -0.009672, 0.014072, 0.938002, - 0.999726, -0.008692, 0.012954, 0.957917, 0.999730, -0.008669, 0.012233, 0.976557, - 0.999773, -0.007320, 0.010896, 0.994459, 0.999811, -0.007560, 0.010271, 1.011180, - 0.999862, -0.005837, 0.008788, 1.027010, 0.999835, -0.006314, 0.008275, 1.041860, - 0.999871, -0.004508, 0.006746, 1.055690, 0.999867, -0.004861, 0.006210, 1.068610, - 0.999939, -0.003221, 0.004783, 1.080640, 0.999918, -0.003182, 0.004064, 1.091810, - 1.000030, -0.001933, 0.002807, 1.102070, 0.999928, -0.001537, 0.001987, 1.111520, - 0.999933, -0.000624, 0.000918, 1.120090, 1.000000, -0.000001, 0.000001, 1.128130, - 0.997866, -0.000001, 0.044833, 0.000020, 0.997987, -0.000023, 0.044839, 0.000503, - 0.997987, -0.000090, 0.044839, 0.002012, 0.997985, -0.000203, 0.044839, 0.004526, - 0.997986, -0.000362, 0.044839, 0.008046, 0.997987, -0.000565, 0.044839, 0.012572, - 0.997988, -0.000813, 0.044839, 0.018104, 0.997984, -0.001107, 0.044839, 0.024643, - 0.997985, -0.001446, 0.044839, 0.032188, 0.997987, -0.001830, 0.044839, 0.040739, - 0.997983, -0.002260, 0.044839, 0.050299, 0.997991, -0.002735, 0.044839, 0.060867, - 0.997984, -0.003255, 0.044838, 0.072444, 0.998002, -0.003820, 0.044839, 0.085035, - 0.997997, -0.004431, 0.044840, 0.098637, 0.998007, -0.005088, 0.044840, 0.113255, - 0.998008, -0.005790, 0.044840, 0.128891, 0.998003, -0.006537, 0.044838, 0.145548, - 0.997983, -0.007327, 0.044836, 0.163221, 0.997985, -0.008155, 0.044836, 0.181899, - 0.998005, -0.008990, 0.044829, 0.201533, 0.998026, -0.009644, 0.044793, 0.221821, - 0.998055, -0.009227, 0.044611, 0.241282, 0.998040, -0.011736, 0.044825, 0.261791, - 0.998048, -0.012763, 0.044816, 0.285181, 0.998088, -0.013806, 0.044800, 0.309540, - 0.998058, -0.014821, 0.044767, 0.334751, 0.998099, -0.015700, 0.044697, 0.360610, - 0.998116, -0.016198, 0.044512, 0.386603, 0.998195, -0.015945, 0.044171, 0.411844, - 0.998168, -0.018395, 0.044425, 0.437730, 0.998184, -0.019791, 0.044381, 0.466009, - 0.998251, -0.020143, 0.044069, 0.494574, 0.998305, -0.019885, 0.043563, 0.522405, - 0.998273, -0.021058, 0.043414, 0.549967, 0.998254, -0.022790, 0.043394, 0.578655, - 0.998349, -0.022311, 0.042653, 0.607580, 0.998430, -0.022309, 0.042000, 0.635524, - 0.998373, -0.024114, 0.041899, 0.663621, 0.998425, -0.023145, 0.040812, 0.691906, - 0.998504, -0.023368, 0.040057, 0.719339, 0.998443, -0.024165, 0.039463, 0.746430, - 0.998480, -0.022871, 0.038000, 0.773086, 0.998569, -0.023519, 0.037232, 0.798988, - 0.998619, -0.022311, 0.035647, 0.824249, 0.998594, -0.022311, 0.034523, 0.848808, - 0.998622, -0.021343, 0.032889, 0.872270, 0.998669, -0.020791, 0.031437, 0.895157, - 0.998705, -0.019842, 0.029693, 0.916769, 0.998786, -0.018917, 0.027963, 0.937773, - 0.998888, -0.017881, 0.026160, 0.957431, 0.999060, -0.016685, 0.024216, 0.976495, - 0.999038, -0.015546, 0.022264, 0.994169, 0.999237, -0.014135, 0.020197, 1.011120, - 0.999378, -0.012932, 0.018174, 1.026920, 0.999433, -0.011319, 0.015990, 1.041740, - 0.999439, -0.010124, 0.014039, 1.055590, 0.999614, -0.008375, 0.011783, 1.068520, - 0.999722, -0.007218, 0.009837, 1.080690, 0.999817, -0.005541, 0.007690, 1.091760, - 0.999830, -0.004270, 0.005782, 1.102110, 0.999964, -0.002739, 0.003745, 1.111520, - 1.000010, -0.001367, 0.001872, 1.120310, 0.999946, 0.000039, -0.000029, 1.128040, - 0.995847, -0.000001, 0.067179, 0.000020, 0.995464, -0.000034, 0.067153, 0.000502, - 0.995470, -0.000135, 0.067153, 0.002006, 0.995471, -0.000305, 0.067153, 0.004515, - 0.995470, -0.000541, 0.067153, 0.008026, 0.995471, -0.000846, 0.067153, 0.012541, - 0.995470, -0.001218, 0.067153, 0.018059, 0.995470, -0.001658, 0.067153, 0.024581, - 0.995463, -0.002166, 0.067153, 0.032106, 0.995468, -0.002741, 0.067153, 0.040637, - 0.995474, -0.003384, 0.067153, 0.050172, 0.995473, -0.004096, 0.067153, 0.060713, - 0.995478, -0.004875, 0.067153, 0.072262, 0.995476, -0.005721, 0.067153, 0.084819, - 0.995477, -0.006637, 0.067154, 0.098388, 0.995498, -0.007620, 0.067154, 0.112972, - 0.995509, -0.008671, 0.067154, 0.128568, 0.995509, -0.009790, 0.067153, 0.145183, - 0.995503, -0.010972, 0.067149, 0.162808, 0.995501, -0.012211, 0.067146, 0.181441, - 0.995530, -0.013456, 0.067137, 0.201015, 0.995550, -0.014391, 0.067083, 0.221206, - 0.995580, -0.014351, 0.066888, 0.240813, 0.995577, -0.017400, 0.067105, 0.261257, - 0.995602, -0.019111, 0.067118, 0.284467, 0.995623, -0.020671, 0.067095, 0.308765, - 0.995658, -0.022184, 0.067047, 0.333905, 0.995705, -0.023483, 0.066942, 0.359677, - 0.995719, -0.024193, 0.066671, 0.385554, 0.995786, -0.024354, 0.066266, 0.410951, - 0.995887, -0.027187, 0.066437, 0.437163, 0.995944, -0.029601, 0.066493, 0.464842, - 0.996004, -0.030104, 0.066010, 0.493320, 0.996128, -0.029831, 0.065269, 0.521131, - 0.996253, -0.031643, 0.065074, 0.549167, 0.996244, -0.033904, 0.064943, 0.577370, - 0.996309, -0.033329, 0.063893, 0.606073, 0.996417, -0.033894, 0.063085, 0.634527, - 0.996372, -0.035310, 0.062508, 0.662560, 0.996542, -0.034894, 0.061199, 0.690516, - 0.996568, -0.035161, 0.060069, 0.718317, 0.996711, -0.035432, 0.058852, 0.745280, - 0.996671, -0.034951, 0.057190, 0.772061, 0.996865, -0.034562, 0.055532, 0.798089, - 0.996802, -0.034257, 0.053782, 0.823178, 0.996992, -0.033086, 0.051610, 0.847949, - 0.996944, -0.032467, 0.049554, 0.871431, 0.997146, -0.030954, 0.047030, 0.894357, - 0.997189, -0.029937, 0.044604, 0.916142, 0.997471, -0.028139, 0.041881, 0.937193, - 0.997515, -0.026870, 0.039182, 0.957000, 0.997812, -0.024717, 0.036134, 0.975936, - 0.998027, -0.023353, 0.033395, 0.993910, 0.998233, -0.020984, 0.030192, 1.010750, - 0.998481, -0.019431, 0.027271, 1.026690, 0.998859, -0.016973, 0.024016, 1.041730, - 0.998940, -0.015232, 0.021052, 1.055510, 0.999132, -0.012750, 0.017863, 1.068560, - 0.999369, -0.010828, 0.014787, 1.080540, 0.999549, -0.008459, 0.011619, 1.091850, - 0.999805, -0.006394, 0.008672, 1.102070, 0.999850, -0.004146, 0.005668, 1.111700, - 0.999912, -0.002074, 0.002776, 1.120220, 1.000010, 0.000087, -0.000054, 1.128320, - 0.991943, -0.000002, 0.089338, 0.000020, 0.991952, -0.000045, 0.089339, 0.000500, - 0.991956, -0.000180, 0.089339, 0.001999, 0.991955, -0.000405, 0.089339, 0.004499, - 0.991953, -0.000720, 0.089339, 0.007998, 0.991955, -0.001125, 0.089339, 0.012496, - 0.991957, -0.001621, 0.089340, 0.017995, 0.991958, -0.002206, 0.089340, 0.024494, - 0.991947, -0.002881, 0.089339, 0.031993, 0.991962, -0.003647, 0.089340, 0.040493, - 0.991965, -0.004503, 0.089340, 0.049995, 0.991980, -0.005449, 0.089341, 0.060499, - 0.991970, -0.006485, 0.089340, 0.072007, 0.991976, -0.007612, 0.089341, 0.084521, - 0.991980, -0.008829, 0.089341, 0.098041, 0.991982, -0.010137, 0.089340, 0.112571, - 0.992008, -0.011535, 0.089342, 0.128115, 0.992026, -0.013023, 0.089341, 0.144672, - 0.992064, -0.014597, 0.089342, 0.162241, 0.992041, -0.016242, 0.089336, 0.180801, - 0.992086, -0.017889, 0.089321, 0.200302, 0.992157, -0.019037, 0.089240, 0.220332, - 0.992181, -0.019558, 0.089053, 0.240144, 0.992175, -0.022726, 0.089215, 0.260728, - 0.992210, -0.025420, 0.089304, 0.283473, 0.992220, -0.027488, 0.089270, 0.307673, - 0.992317, -0.029490, 0.089203, 0.332729, 0.992374, -0.031186, 0.089058, 0.358387, - 0.992505, -0.032066, 0.088699, 0.384102, 0.992568, -0.032972, 0.088320, 0.409767, - 0.992675, -0.036006, 0.088360, 0.436145, 0.992746, -0.039290, 0.088459, 0.463217, - 0.992873, -0.039934, 0.087829, 0.491557, 0.992934, -0.040231, 0.087011, 0.519516, - 0.993091, -0.042201, 0.086586, 0.547741, 0.993259, -0.044350, 0.086194, 0.575792, - 0.993455, -0.044637, 0.085119, 0.604233, 0.993497, -0.045430, 0.084058, 0.632925, - 0.993694, -0.046330, 0.082967, 0.660985, 0.993718, -0.047062, 0.081718, 0.688714, - 0.993973, -0.046884, 0.080029, 0.716743, 0.994207, -0.046705, 0.078129, 0.743770, - 0.994168, -0.046970, 0.076334, 0.770420, 0.994500, -0.045682, 0.073818, 0.796659, - 0.994356, -0.045552, 0.071554, 0.821868, 0.994747, -0.043949, 0.068609, 0.846572, - 0.994937, -0.043006, 0.065869, 0.870435, 0.995142, -0.041341, 0.062645, 0.893272, - 0.995451, -0.039652, 0.059290, 0.915376, 0.995445, -0.037845, 0.055850, 0.936196, - 0.995967, -0.035522, 0.052095, 0.956376, 0.996094, -0.033515, 0.048377, 0.975327, - 0.996622, -0.030682, 0.044257, 0.993471, 0.996938, -0.028550, 0.040469, 1.010520, - 0.997383, -0.025340, 0.036090, 1.026370, 0.997714, -0.023165, 0.032218, 1.041390, - 0.998249, -0.019814, 0.027843, 1.055420, 0.998596, -0.017434, 0.023876, 1.068460, - 0.998946, -0.014135, 0.019594, 1.080560, 0.999280, -0.011560, 0.015628, 1.091810, - 0.999507, -0.008391, 0.011461, 1.102130, 0.999697, -0.005666, 0.007633, 1.111690, - 0.999869, -0.002699, 0.003649, 1.120420, 1.000010, 0.000062, -0.000032, 1.128320, - 0.987221, -0.000002, 0.111332, 0.000020, 0.987390, -0.000056, 0.111351, 0.000498, - 0.987448, -0.000224, 0.111357, 0.001990, 0.987441, -0.000505, 0.111357, 0.004478, - 0.987442, -0.000898, 0.111357, 0.007961, 0.987442, -0.001403, 0.111357, 0.012440, - 0.987444, -0.002020, 0.111357, 0.017913, 0.987442, -0.002750, 0.111357, 0.024382, - 0.987446, -0.003591, 0.111357, 0.031847, 0.987435, -0.004546, 0.111356, 0.040309, - 0.987461, -0.005612, 0.111358, 0.049768, 0.987458, -0.006791, 0.111358, 0.060224, - 0.987443, -0.008083, 0.111356, 0.071679, 0.987476, -0.009487, 0.111358, 0.084136, - 0.987490, -0.011004, 0.111361, 0.097597, 0.987508, -0.012634, 0.111362, 0.112062, - 0.987494, -0.014377, 0.111357, 0.127533, 0.987526, -0.016231, 0.111359, 0.144015, - 0.987558, -0.018191, 0.111361, 0.161502, 0.987602, -0.020239, 0.111355, 0.179979, - 0.987692, -0.022273, 0.111346, 0.199386, 0.987702, -0.023531, 0.111215, 0.219183, - 0.987789, -0.024763, 0.111061, 0.239202, 0.987776, -0.028067, 0.111171, 0.259957, - 0.987856, -0.031675, 0.111327, 0.282198, 0.987912, -0.034247, 0.111282, 0.306294, - 0.988000, -0.036721, 0.111198, 0.331219, 0.988055, -0.038777, 0.110994, 0.356708, - 0.988241, -0.039772, 0.110547, 0.382234, 0.988399, -0.041608, 0.110198, 0.408227, - 0.988539, -0.044819, 0.110137, 0.434662, 0.988661, -0.048379, 0.110143, 0.461442, - 0.988967, -0.049590, 0.109453, 0.489318, 0.989073, -0.050680, 0.108628, 0.517516, - 0.989274, -0.052695, 0.108003, 0.545844, 0.989528, -0.054578, 0.107255, 0.573823, - 0.989709, -0.056150, 0.106294, 0.601944, 0.989991, -0.056866, 0.104896, 0.630855, - 0.990392, -0.057291, 0.103336, 0.658925, 0.990374, -0.058622, 0.101890, 0.686661, - 0.990747, -0.058476, 0.099783, 0.714548, 0.991041, -0.058266, 0.097431, 0.741860, - 0.991236, -0.058412, 0.095168, 0.768422, 0.991585, -0.057306, 0.092158, 0.794817, - 0.991984, -0.056424, 0.089117, 0.820336, 0.992100, -0.055361, 0.085805, 0.844930, - 0.992749, -0.053382, 0.082035, 0.868961, 0.992880, -0.051866, 0.078218, 0.891931, - 0.993511, -0.049249, 0.073894, 0.914186, 0.993617, -0.047196, 0.069640, 0.935320, - 0.994110, -0.044216, 0.064966, 0.955430, 0.994595, -0.041665, 0.060318, 0.974685, - 0.994976, -0.038431, 0.055349, 0.992807, 0.995579, -0.035349, 0.050394, 1.009960, - 0.996069, -0.031979, 0.045212, 1.026060, 0.996718, -0.028472, 0.040011, 1.041140, - 0.997173, -0.025079, 0.034946, 1.055170, 0.997818, -0.021333, 0.029653, 1.068300, - 0.998318, -0.017851, 0.024549, 1.080500, 0.998853, -0.014112, 0.019420, 1.091770, - 0.999218, -0.010591, 0.014387, 1.102200, 0.999594, -0.006935, 0.009435, 1.111750, - 0.999750, -0.003405, 0.004641, 1.120560, 1.000010, 0.000109, -0.000113, 1.128530, - 0.983383, -0.000003, 0.133358, 0.000020, 0.981942, -0.000067, 0.133162, 0.000495, - 0.981946, -0.000268, 0.133163, 0.001979, 0.981944, -0.000604, 0.133163, 0.004453, - 0.981941, -0.001074, 0.133162, 0.007917, 0.981946, -0.001678, 0.133163, 0.012370, - 0.981944, -0.002416, 0.133162, 0.017813, 0.981945, -0.003288, 0.133163, 0.024247, - 0.981945, -0.004295, 0.133162, 0.031670, 0.981955, -0.005436, 0.133164, 0.040085, - 0.981951, -0.006711, 0.133163, 0.049490, 0.981968, -0.008121, 0.133165, 0.059889, - 0.981979, -0.009665, 0.133166, 0.071281, 0.981996, -0.011345, 0.133168, 0.083669, - 0.982014, -0.013159, 0.133169, 0.097053, 0.982011, -0.015107, 0.133167, 0.111438, - 0.982062, -0.017191, 0.133172, 0.126826, 0.982100, -0.019407, 0.133175, 0.143215, - 0.982149, -0.021750, 0.133176, 0.160609, 0.982163, -0.024195, 0.133173, 0.178981, - 0.982247, -0.026591, 0.133148, 0.198249, 0.982291, -0.027916, 0.132974, 0.217795, - 0.982396, -0.029966, 0.132868, 0.238042, 0.982456, -0.033454, 0.132934, 0.258901, - 0.982499, -0.037864, 0.133137, 0.280639, 0.982617, -0.040927, 0.133085, 0.304604, - 0.982740, -0.043852, 0.132985, 0.329376, 0.982944, -0.046229, 0.132728, 0.354697, - 0.983080, -0.047600, 0.132228, 0.380102, 0.983391, -0.050190, 0.131924, 0.406256, - 0.983514, -0.053590, 0.131737, 0.432735, 0.983730, -0.057186, 0.131567, 0.459359, - 0.984056, -0.059235, 0.130932, 0.486637, 0.984234, -0.061049, 0.130092, 0.515090, - 0.984748, -0.063076, 0.129230, 0.543461, 0.985073, -0.064740, 0.128174, 0.571376, - 0.985195, -0.067194, 0.127133, 0.599414, 0.985734, -0.068135, 0.125576, 0.628134, - 0.986241, -0.068609, 0.123639, 0.656399, 0.986356, -0.069851, 0.121834, 0.684258, - 0.986894, -0.070093, 0.119454, 0.711818, 0.987382, -0.069832, 0.116718, 0.739511, - 0.988109, -0.069398, 0.113699, 0.766267, 0.988363, -0.068958, 0.110454, 0.792456, - 0.989112, -0.067235, 0.106602, 0.818130, 0.989241, -0.066203, 0.102670, 0.842889, - 0.990333, -0.063894, 0.098138, 0.867204, 0.990591, -0.061853, 0.093539, 0.890380, - 0.991106, -0.059312, 0.088553, 0.912576, 0.991919, -0.056268, 0.083219, 0.934118, - 0.992111, -0.053408, 0.077830, 0.954254, 0.992997, -0.049546, 0.072045, 0.973722, - 0.993317, -0.046371, 0.066346, 0.991949, 0.994133, -0.042125, 0.060188, 1.009360, - 0.994705, -0.038498, 0.054250, 1.025590, 0.995495, -0.034096, 0.047986, 1.040830, - 0.996206, -0.030105, 0.041887, 1.054970, 0.996971, -0.025610, 0.035535, 1.068240, - 0.997796, -0.021393, 0.029365, 1.080560, 0.998272, -0.016961, 0.023293, 1.091820, - 0.998857, -0.012676, 0.017279, 1.102190, 0.999390, -0.008325, 0.011316, 1.111920, - 0.999752, -0.004108, 0.005579, 1.120750, 1.000000, 0.000151, -0.000119, 1.128850, - 0.975169, -0.000003, 0.154669, 0.000020, 0.975439, -0.000078, 0.154712, 0.000492, - 0.975464, -0.000312, 0.154716, 0.001966, 0.975464, -0.000702, 0.154716, 0.004424, - 0.975462, -0.001247, 0.154715, 0.007865, 0.975461, -0.001949, 0.154715, 0.012289, - 0.975464, -0.002807, 0.154715, 0.017696, 0.975468, -0.003820, 0.154716, 0.024087, - 0.975471, -0.004990, 0.154716, 0.031461, 0.975472, -0.006315, 0.154717, 0.039820, - 0.975486, -0.007797, 0.154718, 0.049164, 0.975489, -0.009435, 0.154718, 0.059493, - 0.975509, -0.011229, 0.154721, 0.070811, 0.975540, -0.013180, 0.154724, 0.083118, - 0.975557, -0.015288, 0.154726, 0.096415, 0.975585, -0.017551, 0.154728, 0.110705, - 0.975605, -0.019971, 0.154729, 0.125992, 0.975645, -0.022545, 0.154729, 0.142272, - 0.975711, -0.025265, 0.154735, 0.159549, 0.975788, -0.028099, 0.154736, 0.177805, - 0.975872, -0.030823, 0.154704, 0.196911, 0.975968, -0.032484, 0.154525, 0.216324, - 0.976063, -0.035128, 0.154432, 0.236628, 0.976157, -0.038862, 0.154460, 0.257539, - 0.976204, -0.043770, 0.154665, 0.278975, 0.976358, -0.047514, 0.154652, 0.302606, - 0.976571, -0.050864, 0.154535, 0.327204, 0.976725, -0.053499, 0.154221, 0.352276, - 0.977013, -0.055555, 0.153737, 0.377696, 0.977294, -0.058673, 0.153403, 0.403855, - 0.977602, -0.062272, 0.153120, 0.430333, 0.977932, -0.065817, 0.152755, 0.456855, - 0.978241, -0.068988, 0.152233, 0.483668, 0.978602, -0.071280, 0.151320, 0.512097, - 0.979234, -0.073277, 0.150235, 0.540455, 0.979770, -0.075163, 0.148978, 0.568486, - 0.979995, -0.077803, 0.147755, 0.596524, 0.980780, -0.079185, 0.146019, 0.624825, - 0.981628, -0.079967, 0.143906, 0.653403, 0.982067, -0.080853, 0.141561, 0.681445, - 0.982710, -0.081602, 0.139025, 0.708918, 0.983734, -0.081251, 0.135764, 0.736594, - 0.984310, -0.080620, 0.132152, 0.763576, 0.985071, -0.080160, 0.128460, 0.789797, - 0.986180, -0.078421, 0.124084, 0.815804, 0.986886, -0.076664, 0.119300, 0.840869, - 0.987485, -0.074774, 0.114236, 0.864952, 0.988431, -0.071670, 0.108654, 0.888431, - 0.988886, -0.069161, 0.102994, 0.910963, 0.990024, -0.065405, 0.096728, 0.932629, - 0.990401, -0.061976, 0.090384, 0.953130, 0.991093, -0.057930, 0.083789, 0.972587, - 0.992018, -0.053658, 0.077017, 0.991184, 0.992536, -0.049372, 0.070149, 1.008630, - 0.993421, -0.044481, 0.062953, 1.024940, 0.993928, -0.040008, 0.056045, 1.040170, - 0.994994, -0.034798, 0.048560, 1.054630, 0.995866, -0.030102, 0.041615, 1.068070, - 0.996916, -0.024823, 0.034260, 1.080390, 0.997766, -0.019923, 0.027167, 1.091770, - 0.998479, -0.014742, 0.020139, 1.102350, 0.999210, -0.009802, 0.013194, 1.112060, - 0.999652, -0.004743, 0.006407, 1.121040, 0.999998, 0.000089, -0.000104, 1.129060, - 0.967868, -0.000004, 0.175947, 0.000019, 0.968001, -0.000089, 0.175972, 0.000488, - 0.968010, -0.000355, 0.175973, 0.001951, 0.968012, -0.000798, 0.175974, 0.004390, - 0.968011, -0.001419, 0.175973, 0.007805, 0.968011, -0.002217, 0.175973, 0.012195, - 0.968016, -0.003192, 0.175974, 0.017561, 0.968019, -0.004345, 0.175974, 0.023903, - 0.968018, -0.005675, 0.175974, 0.031221, 0.968033, -0.007183, 0.175977, 0.039516, - 0.968049, -0.008868, 0.175979, 0.048788, 0.968047, -0.010731, 0.175978, 0.059039, - 0.968072, -0.012772, 0.175981, 0.070270, 0.968108, -0.014991, 0.175986, 0.082484, - 0.968112, -0.017387, 0.175985, 0.095678, 0.968173, -0.019961, 0.175993, 0.109862, - 0.968270, -0.022713, 0.176008, 0.125033, 0.968292, -0.025639, 0.176010, 0.141193, - 0.968339, -0.028730, 0.176007, 0.158336, 0.968389, -0.031940, 0.176001, 0.176441, - 0.968501, -0.034941, 0.175962, 0.195359, 0.968646, -0.037081, 0.175793, 0.214686, - 0.968789, -0.040233, 0.175708, 0.234973, 0.968860, -0.044260, 0.175700, 0.255871, - 0.969013, -0.049398, 0.175876, 0.277238, 0.969242, -0.053993, 0.175940, 0.300326, - 0.969419, -0.057730, 0.175781, 0.324702, 0.969763, -0.060564, 0.175432, 0.349527, - 0.970093, -0.063449, 0.174992, 0.374976, 0.970361, -0.067059, 0.174611, 0.401097, - 0.970825, -0.070825, 0.174226, 0.427496, 0.971214, -0.074287, 0.173684, 0.453858, - 0.971622, -0.078261, 0.173186, 0.480637, 0.972175, -0.081315, 0.172288, 0.508655, - 0.972944, -0.083268, 0.170979, 0.536973, 0.973595, -0.085596, 0.169573, 0.565138, - 0.974345, -0.088216, 0.168152, 0.593222, 0.975233, -0.090167, 0.166314, 0.621201, - 0.976239, -0.091211, 0.163931, 0.649919, 0.977289, -0.091696, 0.161106, 0.678011, - 0.978076, -0.092706, 0.158272, 0.705717, 0.979533, -0.092556, 0.154750, 0.733228, - 0.980335, -0.091816, 0.150638, 0.760454, 0.981808, -0.090851, 0.146201, 0.786918, - 0.983061, -0.089617, 0.141386, 0.812953, 0.984148, -0.087159, 0.135837, 0.838281, - 0.985047, -0.085062, 0.130135, 0.862594, 0.986219, -0.081854, 0.123882, 0.886330, - 0.987043, -0.078452, 0.117126, 0.908952, 0.988107, -0.074960, 0.110341, 0.930744, - 0.988955, -0.070355, 0.102885, 0.951728, 0.989426, -0.066280, 0.095417, 0.971166, - 0.990421, -0.061083, 0.087633, 0.989984, 0.991032, -0.056294, 0.079779, 1.007650, - 0.992041, -0.050815, 0.071817, 1.024340, 0.992794, -0.045405, 0.063713, 1.039760, - 0.993691, -0.039819, 0.055534, 1.054180, 0.994778, -0.034148, 0.047339, 1.067720, - 0.995915, -0.028428, 0.039102, 1.080280, 0.997109, -0.022642, 0.030995, 1.091850, - 0.998095, -0.016874, 0.023029, 1.102470, 0.998985, -0.011127, 0.015072, 1.112290, - 0.999581, -0.005439, 0.007406, 1.121310, 1.000030, 0.000162, -0.000106, 1.129460, - 0.959505, -0.000004, 0.196876, 0.000019, 0.959599, -0.000099, 0.196895, 0.000484, - 0.959641, -0.000397, 0.196903, 0.001934, 0.959599, -0.000893, 0.196895, 0.004352, - 0.959603, -0.001587, 0.196896, 0.007737, 0.959604, -0.002480, 0.196896, 0.012089, - 0.959605, -0.003572, 0.196896, 0.017408, 0.959605, -0.004862, 0.196896, 0.023695, - 0.959613, -0.006350, 0.196897, 0.030950, 0.959619, -0.008037, 0.196898, 0.039172, - 0.959636, -0.009923, 0.196901, 0.048365, 0.959634, -0.012007, 0.196900, 0.058527, - 0.959675, -0.014290, 0.196906, 0.069661, 0.959712, -0.016772, 0.196911, 0.081768, - 0.959752, -0.019452, 0.196918, 0.094849, 0.959807, -0.022332, 0.196925, 0.108910, - 0.959828, -0.025409, 0.196924, 0.123947, 0.959906, -0.028681, 0.196934, 0.139968, - 0.960005, -0.032137, 0.196944, 0.156968, 0.960071, -0.035711, 0.196936, 0.174910, - 0.960237, -0.038906, 0.196882, 0.193597, 0.960367, -0.041623, 0.196731, 0.212850, - 0.960562, -0.045266, 0.196654, 0.233075, 0.960735, -0.049621, 0.196643, 0.253941, - 0.960913, -0.054938, 0.196774, 0.275278, 0.961121, -0.060341, 0.196893, 0.297733, - 0.961390, -0.064424, 0.196717, 0.321877, 0.961818, -0.067556, 0.196314, 0.346476, - 0.962175, -0.071271, 0.195917, 0.371907, 0.962550, -0.075285, 0.195500, 0.397916, - 0.963164, -0.079207, 0.195026, 0.424229, 0.963782, -0.082822, 0.194424, 0.450637, - 0.964306, -0.087312, 0.193831, 0.477288, 0.964923, -0.091105, 0.192973, 0.504716, - 0.966048, -0.093251, 0.191510, 0.533053, 0.967024, -0.095898, 0.190013, 0.561366, - 0.968038, -0.098350, 0.188253, 0.589464, 0.969152, -0.100754, 0.186257, 0.617433, - 0.970557, -0.102239, 0.183775, 0.645801, 0.972104, -0.102767, 0.180645, 0.674278, - 0.973203, -0.103492, 0.177242, 0.702004, 0.975123, -0.103793, 0.173450, 0.729529, - 0.976410, -0.102839, 0.168886, 0.756712, 0.978313, -0.101687, 0.163892, 0.783801, - 0.980036, -0.100314, 0.158439, 0.809671, 0.981339, -0.097836, 0.152211, 0.835402, - 0.982794, -0.095001, 0.145679, 0.860081, 0.984123, -0.092099, 0.138949, 0.883757, - 0.984918, -0.087864, 0.131283, 0.906850, 0.985999, -0.083939, 0.123464, 0.928786, - 0.987151, -0.079123, 0.115324, 0.949830, 0.987827, -0.073933, 0.106854, 0.969620, - 0.988806, -0.068809, 0.098269, 0.988610, 0.989588, -0.062896, 0.089346, 1.006670, - 0.990438, -0.057315, 0.080539, 1.023440, 0.991506, -0.050943, 0.071373, 1.039330, - 0.992492, -0.044872, 0.062373, 1.053780, 0.993663, -0.038350, 0.053084, 1.067470, - 0.994956, -0.031959, 0.043951, 1.080070, 0.996340, -0.025401, 0.034780, 1.091820, - 0.997610, -0.018969, 0.025795, 1.102500, 0.998630, -0.012444, 0.016989, 1.112470, - 0.999470, -0.006140, 0.008295, 1.121510, 1.000080, 0.000217, -0.000146, 1.129930, - 0.950129, -0.000004, 0.217413, 0.000019, 0.950264, -0.000110, 0.217444, 0.000479, - 0.950300, -0.000438, 0.217451, 0.001915, 0.950246, -0.000986, 0.217440, 0.004310, - 0.950246, -0.001753, 0.217440, 0.007661, 0.950245, -0.002739, 0.217440, 0.011971, - 0.950253, -0.003945, 0.217441, 0.017239, 0.950258, -0.005369, 0.217442, 0.023464, - 0.950267, -0.007013, 0.217444, 0.030648, 0.950277, -0.008876, 0.217446, 0.038791, - 0.950284, -0.010958, 0.217446, 0.047893, 0.950312, -0.013259, 0.217451, 0.057957, - 0.950334, -0.015780, 0.217454, 0.068982, 0.950378, -0.018520, 0.217462, 0.080971, - 0.950417, -0.021480, 0.217467, 0.093926, 0.950488, -0.024659, 0.217479, 0.107850, - 0.950534, -0.028057, 0.217483, 0.122743, 0.950633, -0.031669, 0.217498, 0.138611, - 0.950698, -0.035479, 0.217499, 0.155442, 0.950844, -0.039400, 0.217507, 0.173208, - 0.950999, -0.042681, 0.217419, 0.191605, 0.951221, -0.046130, 0.217317, 0.210840, - 0.951412, -0.050213, 0.217238, 0.230945, 0.951623, -0.054918, 0.217220, 0.251745, - 0.951867, -0.060449, 0.217306, 0.273001, 0.952069, -0.066519, 0.217466, 0.294874, - 0.952459, -0.070918, 0.217266, 0.318732, 0.952996, -0.074611, 0.216891, 0.343180, - 0.953425, -0.078925, 0.216503, 0.368490, 0.953885, -0.083329, 0.216042, 0.394373, - 0.954617, -0.087371, 0.215469, 0.420505, 0.955429, -0.091405, 0.214802, 0.446907, - 0.956068, -0.096167, 0.214146, 0.473522, 0.957094, -0.100480, 0.213286, 0.500520, - 0.958372, -0.103248, 0.211796, 0.528715, 0.959654, -0.106033, 0.210160, 0.557065, - 0.961305, -0.108384, 0.208149, 0.585286, 0.962785, -0.111122, 0.206024, 0.613334, - 0.964848, -0.112981, 0.203442, 0.641334, 0.966498, -0.113717, 0.199960, 0.669955, - 0.968678, -0.114121, 0.196105, 0.698094, 0.970489, -0.114524, 0.191906, 0.725643, - 0.972903, -0.113792, 0.186963, 0.752856, 0.974701, -0.112406, 0.181343, 0.780013, - 0.976718, -0.110685, 0.175185, 0.806268, 0.978905, -0.108468, 0.168535, 0.832073, - 0.980267, -0.105061, 0.161106, 0.857149, 0.981967, -0.101675, 0.153387, 0.881145, - 0.983063, -0.097449, 0.145199, 0.904255, 0.984432, -0.092581, 0.136527, 0.926686, - 0.985734, -0.087798, 0.127584, 0.947901, 0.986228, -0.081884, 0.118125, 0.968111, - 0.987190, -0.076121, 0.108594, 0.987190, 0.988228, -0.069820, 0.099000, 1.005590, - 0.989046, -0.063274, 0.089007, 1.022460, 0.990242, -0.056522, 0.079083, 1.038410, - 0.991252, -0.049527, 0.068918, 1.053470, 0.992542, -0.042537, 0.058859, 1.067240, - 0.994096, -0.035320, 0.048683, 1.080090, 0.995593, -0.028235, 0.038598, 1.091770, - 0.997110, -0.020951, 0.028646, 1.102740, 0.998263, -0.013929, 0.018850, 1.112620, - 0.999254, -0.006736, 0.009208, 1.121910, 0.999967, 0.000142, -0.000066, 1.130240, - 0.935608, -0.000005, 0.236466, 0.000019, 0.939960, -0.000120, 0.237568, 0.000474, - 0.939959, -0.000479, 0.237567, 0.001895, 0.939954, -0.001077, 0.237566, 0.004263, - 0.939956, -0.001915, 0.237566, 0.007578, 0.939954, -0.002993, 0.237566, 0.011841, - 0.939960, -0.004310, 0.237567, 0.017052, 0.939969, -0.005866, 0.237569, 0.023210, - 0.939982, -0.007662, 0.237572, 0.030316, 0.939987, -0.009697, 0.237572, 0.038371, - 0.939997, -0.011971, 0.237574, 0.047375, 0.940031, -0.014486, 0.237581, 0.057330, - 0.940073, -0.017240, 0.237589, 0.068237, 0.940120, -0.020234, 0.237598, 0.080097, - 0.940162, -0.023466, 0.237604, 0.092912, 0.940237, -0.026939, 0.237615, 0.106686, - 0.940328, -0.030649, 0.237632, 0.121421, 0.940419, -0.034592, 0.237645, 0.137115, - 0.940522, -0.038748, 0.237654, 0.153766, 0.940702, -0.042991, 0.237661, 0.171330, - 0.940871, -0.046509, 0.237561, 0.189502, 0.941103, -0.050531, 0.237480, 0.208616, - 0.941369, -0.055066, 0.237423, 0.228595, 0.941641, -0.060134, 0.237399, 0.249287, - 0.941903, -0.065880, 0.237443, 0.270467, 0.942224, -0.072267, 0.237597, 0.292024, - 0.942633, -0.077179, 0.237419, 0.315272, 0.943172, -0.081562, 0.237068, 0.339579, - 0.943691, -0.086397, 0.236682, 0.364717, 0.944382, -0.091154, 0.236213, 0.390435, - 0.945392, -0.095297, 0.235562, 0.416425, 0.946185, -0.099895, 0.234832, 0.442772, - 0.947212, -0.104796, 0.234114, 0.469347, 0.948778, -0.109280, 0.233222, 0.496162, - 0.950149, -0.113081, 0.231845, 0.523978, 0.951989, -0.115893, 0.230005, 0.552295, - 0.953921, -0.118460, 0.227862, 0.580569, 0.955624, -0.121150, 0.225439, 0.608698, - 0.958234, -0.123373, 0.222635, 0.636696, 0.960593, -0.124519, 0.219093, 0.665208, - 0.963201, -0.124736, 0.214749, 0.693557, 0.965642, -0.125012, 0.210059, 0.721334, - 0.968765, -0.124661, 0.204935, 0.748613, 0.971753, -0.122996, 0.198661, 0.776224, - 0.973751, -0.120998, 0.191823, 0.802461, 0.976709, -0.118583, 0.184359, 0.828399, - 0.977956, -0.115102, 0.176437, 0.853693, 0.979672, -0.111077, 0.167681, 0.877962, - 0.981816, -0.106880, 0.158872, 0.901564, 0.982380, -0.101469, 0.149398, 0.924057, - 0.983964, -0.096001, 0.139436, 0.945751, 0.984933, -0.089963, 0.129430, 0.966272, - 0.985694, -0.083297, 0.118940, 0.985741, 0.986822, -0.076708, 0.108349, 1.004070, - 0.987725, -0.069361, 0.097603, 1.021540, 0.988770, -0.062110, 0.086652, 1.037570, - 0.990129, -0.054414, 0.075618, 1.052960, 0.991337, -0.046744, 0.064575, 1.066830, - 0.992978, -0.038793, 0.053468, 1.079800, 0.994676, -0.030973, 0.042414, 1.091810, - 0.996450, -0.023031, 0.031404, 1.102860, 0.997967, -0.015206, 0.020687, 1.112910, - 0.999220, -0.007448, 0.010155, 1.122370, 1.000020, 0.000240, -0.000075, 1.130890, - 0.922948, -0.000005, 0.255626, 0.000019, 0.928785, -0.000130, 0.257244, 0.000468, - 0.928761, -0.000518, 0.257237, 0.001872, 0.928751, -0.001167, 0.257235, 0.004212, - 0.928751, -0.002074, 0.257234, 0.007488, 0.928754, -0.003241, 0.257235, 0.011700, - 0.928760, -0.004666, 0.257236, 0.016849, 0.928763, -0.006351, 0.257237, 0.022933, - 0.928774, -0.008296, 0.257239, 0.029955, 0.928791, -0.010500, 0.257243, 0.037914, - 0.928804, -0.012962, 0.257245, 0.046811, 0.928847, -0.015685, 0.257255, 0.056647, - 0.928890, -0.018666, 0.257263, 0.067425, 0.928924, -0.021907, 0.257268, 0.079143, - 0.928989, -0.025407, 0.257282, 0.091808, 0.929090, -0.029165, 0.257301, 0.105419, - 0.929180, -0.033180, 0.257316, 0.119978, 0.929290, -0.037447, 0.257332, 0.135491, - 0.929453, -0.041939, 0.257357, 0.151948, 0.929586, -0.046461, 0.257347, 0.169275, - 0.929858, -0.050343, 0.257269, 0.187257, 0.930125, -0.054841, 0.257199, 0.206204, - 0.930403, -0.059806, 0.257149, 0.226010, 0.930726, -0.065244, 0.257122, 0.246561, - 0.931098, -0.071238, 0.257153, 0.267618, 0.931396, -0.077751, 0.257237, 0.288993, - 0.931947, -0.083237, 0.257124, 0.311527, 0.932579, -0.088396, 0.256830, 0.335697, - 0.933194, -0.093704, 0.256444, 0.360634, 0.934013, -0.098729, 0.255939, 0.386126, - 0.935307, -0.103215, 0.255282, 0.412018, 0.936374, -0.108234, 0.254538, 0.438292, - 0.937760, -0.113234, 0.253728, 0.464805, 0.939599, -0.118013, 0.252750, 0.491464, - 0.941036, -0.122661, 0.251404, 0.518751, 0.943370, -0.125477, 0.249435, 0.547133, - 0.945318, -0.128374, 0.247113, 0.575456, 0.947995, -0.130996, 0.244441, 0.603720, - 0.950818, -0.133438, 0.241352, 0.631740, 0.954378, -0.135004, 0.237849, 0.659971, - 0.957151, -0.135313, 0.233188, 0.688478, 0.960743, -0.135210, 0.228001, 0.716767, - 0.964352, -0.135007, 0.222249, 0.744349, 0.967273, -0.133523, 0.215420, 0.771786, - 0.969767, -0.131155, 0.208039, 0.798639, 0.973195, -0.128492, 0.200076, 0.824774, - 0.975557, -0.125094, 0.191451, 0.850222, 0.977692, -0.120578, 0.181840, 0.874761, - 0.980260, -0.115882, 0.172102, 0.898497, 0.981394, -0.110372, 0.161859, 0.921636, - 0.982386, -0.104150, 0.151080, 0.943467, 0.983783, -0.097813, 0.140407, 0.964045, - 0.984220, -0.090617, 0.129058, 0.983980, 0.985447, -0.083292, 0.117614, 1.002760, - 0.986682, -0.075441, 0.105850, 1.020470, 0.987326, -0.067389, 0.094094, 1.036780, - 0.988707, -0.059256, 0.082209, 1.052180, 0.990185, -0.050717, 0.070192, 1.066520, - 0.991866, -0.042349, 0.058208, 1.079650, 0.993897, -0.033612, 0.046099, 1.091880, - 0.995841, -0.025218, 0.034274, 1.103070, 0.997605, -0.016489, 0.022483, 1.113240, - 0.999037, -0.008171, 0.011065, 1.122620, 1.000030, 0.000292, -0.000169, 1.131390, - 0.915304, -0.000006, 0.275999, 0.000018, 0.916680, -0.000139, 0.276414, 0.000462, - 0.916664, -0.000557, 0.276409, 0.001848, 0.916653, -0.001254, 0.276406, 0.004157, - 0.916651, -0.002229, 0.276405, 0.007391, 0.916655, -0.003482, 0.276406, 0.011548, - 0.916653, -0.005014, 0.276405, 0.016629, 0.916667, -0.006825, 0.276409, 0.022635, - 0.916680, -0.008914, 0.276412, 0.029565, 0.916690, -0.011282, 0.276413, 0.037420, - 0.916727, -0.013928, 0.276422, 0.046202, 0.916759, -0.016853, 0.276429, 0.055910, - 0.916793, -0.020056, 0.276436, 0.066547, 0.916849, -0.023537, 0.276448, 0.078114, - 0.916964, -0.027297, 0.276474, 0.090616, 0.917047, -0.031334, 0.276491, 0.104051, - 0.917152, -0.035646, 0.276511, 0.118424, 0.917286, -0.040227, 0.276533, 0.133736, - 0.917469, -0.045041, 0.276564, 0.149978, 0.917686, -0.049787, 0.276563, 0.167057, - 0.917953, -0.054094, 0.276493, 0.184846, 0.918228, -0.059071, 0.276437, 0.203614, - 0.918572, -0.064428, 0.276398, 0.223212, 0.918918, -0.070233, 0.276362, 0.243584, - 0.919356, -0.076484, 0.276383, 0.264465, 0.919842, -0.083081, 0.276434, 0.285701, - 0.920451, -0.089297, 0.276407, 0.307559, 0.921113, -0.095016, 0.276128, 0.331501, - 0.921881, -0.100771, 0.275754, 0.356207, 0.923027, -0.106029, 0.275254, 0.381477, - 0.924364, -0.111029, 0.274595, 0.407220, 0.925818, -0.116345, 0.273841, 0.433385, - 0.927460, -0.121424, 0.272913, 0.459848, 0.929167, -0.126570, 0.271837, 0.486493, - 0.931426, -0.131581, 0.270575, 0.513432, 0.934001, -0.135038, 0.268512, 0.541502, - 0.936296, -0.138039, 0.266135, 0.569658, 0.939985, -0.140687, 0.263271, 0.598375, - 0.943516, -0.143247, 0.260058, 0.626563, 0.947820, -0.145135, 0.256138, 0.654711, - 0.951023, -0.145733, 0.251154, 0.683285, 0.955338, -0.145554, 0.245562, 0.711831, - 0.959629, -0.145008, 0.239265, 0.739573, 0.963123, -0.144003, 0.232064, 0.767027, - 0.966742, -0.141289, 0.224036, 0.794359, 0.969991, -0.138247, 0.215305, 0.820361, - 0.973403, -0.134786, 0.206051, 0.846548, 0.975317, -0.129966, 0.195914, 0.871541, - 0.977647, -0.124710, 0.185184, 0.895313, 0.980137, -0.119086, 0.174161, 0.918398, - 0.981031, -0.112297, 0.162792, 0.940679, 0.982037, -0.105372, 0.150952, 0.961991, - 0.983164, -0.097821, 0.138921, 0.981913, 0.983757, -0.089724, 0.126611, 1.001090, - 0.985036, -0.081597, 0.114228, 1.019020, 0.986289, -0.072773, 0.101389, 1.036040, - 0.987329, -0.063932, 0.088648, 1.051490, 0.989193, -0.054811, 0.075684, 1.066190, - 0.990716, -0.045687, 0.062758, 1.079480, 0.992769, -0.036431, 0.049834, 1.091720, - 0.995240, -0.027176, 0.037031, 1.103300, 0.997154, -0.017961, 0.024396, 1.113530, - 0.998845, -0.008781, 0.011957, 1.123190, 1.000020, 0.000259, -0.000108, 1.131770, - 0.903945, -0.000006, 0.295126, 0.000018, 0.903668, -0.000149, 0.295037, 0.000455, - 0.903677, -0.000595, 0.295040, 0.001821, 0.903673, -0.001338, 0.295039, 0.004098, - 0.903666, -0.002379, 0.295036, 0.007286, 0.903668, -0.003717, 0.295037, 0.011384, - 0.903679, -0.005352, 0.295040, 0.016394, 0.903684, -0.007285, 0.295041, 0.022314, - 0.903698, -0.009515, 0.295044, 0.029146, 0.903718, -0.012042, 0.295049, 0.036890, - 0.903754, -0.014866, 0.295058, 0.045548, 0.903801, -0.017988, 0.295070, 0.055119, - 0.903851, -0.021406, 0.295082, 0.065606, 0.903921, -0.025122, 0.295097, 0.077011, - 0.904002, -0.029134, 0.295116, 0.089335, 0.904111, -0.033441, 0.295140, 0.102583, - 0.904246, -0.038041, 0.295169, 0.116755, 0.904408, -0.042926, 0.295202, 0.131853, - 0.904637, -0.048047, 0.295245, 0.147869, 0.904821, -0.052921, 0.295214, 0.164658, - 0.905163, -0.057775, 0.295185, 0.182274, 0.905469, -0.063176, 0.295143, 0.200828, - 0.905851, -0.068917, 0.295112, 0.220200, 0.906322, -0.075086, 0.295104, 0.240372, - 0.906761, -0.081586, 0.295086, 0.261082, 0.907350, -0.088214, 0.295095, 0.282123, - 0.908087, -0.095082, 0.295139, 0.303563, 0.908826, -0.101488, 0.294920, 0.327028, - 0.909832, -0.107577, 0.294577, 0.351464, 0.911393, -0.113033, 0.294115, 0.376497, - 0.912804, -0.118629, 0.293446, 0.402115, 0.914081, -0.124232, 0.292581, 0.428111, - 0.916370, -0.129399, 0.291660, 0.454442, 0.918140, -0.134892, 0.290422, 0.481024, - 0.921179, -0.140069, 0.289194, 0.507924, 0.924544, -0.144431, 0.287421, 0.535557, - 0.927995, -0.147498, 0.284867, 0.563984, 0.931556, -0.150197, 0.281722, 0.592300, - 0.935777, -0.152711, 0.278207, 0.620832, 0.940869, -0.154836, 0.274148, 0.649069, - 0.945994, -0.155912, 0.269057, 0.677746, 0.949634, -0.155641, 0.262799, 0.706293, - 0.955032, -0.154809, 0.256097, 0.734278, 0.959170, -0.153678, 0.248618, 0.761751, - 0.962931, -0.151253, 0.239794, 0.789032, 0.966045, -0.147625, 0.230281, 0.815422, - 0.969710, -0.143964, 0.220382, 0.841787, 0.972747, -0.139464, 0.209846, 0.867446, - 0.975545, -0.133459, 0.198189, 0.892004, 0.978381, -0.127424, 0.186362, 0.915458, - 0.979935, -0.120506, 0.173964, 0.937948, 0.980948, -0.112820, 0.161429, 0.959732, - 0.982234, -0.104941, 0.148557, 0.980118, 0.982767, -0.096291, 0.135508, 0.999463, - 0.983544, -0.087362, 0.122338, 1.017560, 0.984965, -0.078345, 0.108669, 1.034920, - 0.986233, -0.068480, 0.094991, 1.050870, 0.987796, -0.059087, 0.081139, 1.065600, - 0.989885, -0.048914, 0.067310, 1.079400, 0.991821, -0.039100, 0.053567, 1.091740, - 0.994480, -0.029087, 0.039753, 1.103410, 0.996769, -0.019114, 0.026146, 1.113830, - 0.998641, -0.009470, 0.012873, 1.123700, 0.999978, 0.000446, -0.000169, 1.132530, - 0.888362, -0.000006, 0.312578, 0.000018, 0.889988, -0.000158, 0.313148, 0.000448, - 0.889825, -0.000631, 0.313092, 0.001794, 0.889840, -0.001420, 0.313097, 0.004036, - 0.889828, -0.002524, 0.313092, 0.007174, 0.889831, -0.003944, 0.313093, 0.011210, - 0.889831, -0.005680, 0.313093, 0.016143, 0.889844, -0.007731, 0.313096, 0.021972, - 0.889858, -0.010097, 0.313100, 0.028700, 0.889882, -0.012779, 0.313106, 0.036326, - 0.889918, -0.015776, 0.313116, 0.044851, 0.889967, -0.019088, 0.313129, 0.054276, - 0.890030, -0.022715, 0.313145, 0.064603, 0.890108, -0.026657, 0.313165, 0.075834, - 0.890218, -0.030913, 0.313193, 0.087973, 0.890351, -0.035482, 0.313226, 0.101019, - 0.890510, -0.040361, 0.313263, 0.114979, 0.890672, -0.045539, 0.313294, 0.129848, - 0.890882, -0.050944, 0.313333, 0.145616, 0.891189, -0.055966, 0.313324, 0.162122, - 0.891457, -0.061312, 0.313281, 0.179524, 0.891856, -0.067149, 0.313281, 0.197855, - 0.892312, -0.073273, 0.313268, 0.216991, 0.892819, -0.079786, 0.313263, 0.236924, - 0.893369, -0.086527, 0.313247, 0.257433, 0.894045, -0.093159, 0.313205, 0.278215, - 0.894884, -0.100532, 0.313276, 0.299467, 0.895832, -0.107716, 0.313205, 0.322276, - 0.897043, -0.114099, 0.312873, 0.346420, 0.898515, -0.119941, 0.312331, 0.371187, - 0.900191, -0.126044, 0.311731, 0.396656, 0.901880, -0.131808, 0.310859, 0.422488, - 0.904359, -0.137289, 0.309857, 0.448744, 0.906923, -0.142991, 0.308714, 0.475239, - 0.910634, -0.148253, 0.307465, 0.501983, 0.914502, -0.153332, 0.305774, 0.529254, - 0.919046, -0.156646, 0.303156, 0.557709, 0.923194, -0.159612, 0.299928, 0.586267, - 0.928858, -0.162027, 0.296245, 0.614925, 0.934464, -0.164203, 0.291832, 0.643187, - 0.939824, -0.165602, 0.286565, 0.671601, 0.944582, -0.165383, 0.280073, 0.700213, - 0.949257, -0.164439, 0.272891, 0.728432, 0.954389, -0.162953, 0.264771, 0.756082, - 0.958595, -0.161007, 0.255927, 0.783690, 0.962138, -0.157243, 0.245769, 0.810769, - 0.966979, -0.152872, 0.235127, 0.836999, 0.969566, -0.148209, 0.223470, 0.862684, - 0.972372, -0.142211, 0.211147, 0.887847, 0.975916, -0.135458, 0.198606, 0.911843, - 0.978026, -0.128398, 0.185498, 0.934795, 0.979686, -0.120313, 0.171710, 0.956787, - 0.980748, -0.111660, 0.158159, 0.978046, 0.981622, -0.103035, 0.144399, 0.997693, - 0.982356, -0.093033, 0.130010, 1.016420, 0.983308, -0.083463, 0.115778, 1.033660, - 0.985037, -0.073225, 0.101327, 1.050140, 0.986493, -0.062814, 0.086554, 1.065070, - 0.988484, -0.052656, 0.072041, 1.079070, 0.991051, -0.041574, 0.057115, 1.091890, - 0.993523, -0.031427, 0.042664, 1.103690, 0.996280, -0.020360, 0.027932, 1.114230, - 0.998344, -0.010245, 0.013818, 1.124210, 0.999997, 0.000426, -0.000194, 1.133300, - 0.871555, -0.000007, 0.329176, 0.000017, 0.875255, -0.000167, 0.330571, 0.000441, - 0.875644, -0.000666, 0.330718, 0.001764, 0.875159, -0.001499, 0.330536, 0.003969, - 0.875160, -0.002665, 0.330536, 0.007056, 0.875158, -0.004164, 0.330535, 0.011025, - 0.875160, -0.005996, 0.330535, 0.015876, 0.875163, -0.008161, 0.330536, 0.021610, - 0.875174, -0.010659, 0.330538, 0.028227, 0.875199, -0.013490, 0.330545, 0.035727, - 0.875257, -0.016654, 0.330563, 0.044112, 0.875304, -0.020150, 0.330575, 0.053382, - 0.875373, -0.023978, 0.330595, 0.063539, 0.875464, -0.028139, 0.330619, 0.074587, - 0.875565, -0.032630, 0.330645, 0.086526, 0.875691, -0.037452, 0.330676, 0.099360, - 0.875897, -0.042599, 0.330733, 0.113093, 0.876091, -0.048058, 0.330776, 0.127722, - 0.876353, -0.053722, 0.330826, 0.143227, 0.876649, -0.058981, 0.330809, 0.159462, - 0.877034, -0.064786, 0.330819, 0.176642, 0.877443, -0.070979, 0.330817, 0.194702, - 0.877956, -0.077478, 0.330832, 0.213577, 0.878499, -0.084318, 0.330822, 0.233246, - 0.879144, -0.091271, 0.330804, 0.253512, 0.879982, -0.098082, 0.330766, 0.274137, - 0.880970, -0.105823, 0.330864, 0.295209, 0.882051, -0.113671, 0.330896, 0.317226, - 0.883397, -0.120303, 0.330545, 0.341068, 0.884987, -0.126670, 0.330068, 0.365613, - 0.886789, -0.133118, 0.329418, 0.390807, 0.889311, -0.139024, 0.328683, 0.416494, - 0.891995, -0.144971, 0.327729, 0.442618, 0.895106, -0.150747, 0.326521, 0.469131, - 0.899527, -0.156283, 0.325229, 0.495921, 0.905040, -0.161707, 0.323780, 0.523162, - 0.909875, -0.165661, 0.321220, 0.550920, 0.915610, -0.168755, 0.317942, 0.579928, - 0.921225, -0.171193, 0.313983, 0.608539, 0.927308, -0.173190, 0.309636, 0.636854, - 0.933077, -0.174819, 0.304262, 0.665230, 0.938766, -0.175002, 0.297563, 0.693609, - 0.943667, -0.173946, 0.289613, 0.722157, 0.949033, -0.172221, 0.281227, 0.750021, - 0.953765, -0.169869, 0.271545, 0.777466, 0.958040, -0.166578, 0.261034, 0.804853, - 0.962302, -0.161761, 0.249434, 0.831569, 0.966544, -0.156636, 0.237484, 0.857779, - 0.969372, -0.150784, 0.224395, 0.883051, 0.972486, -0.143672, 0.210786, 0.907864, - 0.975853, -0.135772, 0.196556, 0.931223, 0.977975, -0.127942, 0.182307, 0.954061, - 0.979122, -0.118347, 0.167607, 0.975310, 0.980719, -0.109112, 0.152739, 0.995666, - 0.981223, -0.099179, 0.137932, 1.014750, 0.982160, -0.088355, 0.122692, 1.032530, - 0.983379, -0.078082, 0.107493, 1.049170, 0.985434, -0.066565, 0.091779, 1.064640, - 0.987332, -0.055771, 0.076495, 1.078960, 0.990004, -0.044281, 0.060721, 1.091990, - 0.992975, -0.033168, 0.045228, 1.103930, 0.995811, -0.021955, 0.029793, 1.114760, - 0.998200, -0.010761, 0.014642, 1.124840, 1.000020, 0.000249, -0.000146, 1.134130, - 0.859519, -0.000007, 0.347264, 0.000017, 0.859843, -0.000175, 0.347394, 0.000433, - 0.859656, -0.000700, 0.347319, 0.001733, 0.859671, -0.001575, 0.347325, 0.003899, - 0.859669, -0.002800, 0.347324, 0.006931, 0.859670, -0.004375, 0.347324, 0.010830, - 0.859665, -0.006300, 0.347321, 0.015595, 0.859685, -0.008575, 0.347328, 0.021228, - 0.859694, -0.011200, 0.347329, 0.027727, 0.859718, -0.014175, 0.347336, 0.035095, - 0.859760, -0.017499, 0.347348, 0.043331, 0.859820, -0.021172, 0.347366, 0.052438, - 0.859892, -0.025194, 0.347387, 0.062417, 0.860006, -0.029565, 0.347422, 0.073271, - 0.860122, -0.034283, 0.347453, 0.085000, 0.860282, -0.039346, 0.347499, 0.097610, - 0.860482, -0.044751, 0.347554, 0.111104, 0.860719, -0.050478, 0.347614, 0.125479, - 0.860998, -0.056358, 0.347666, 0.140703, 0.861322, -0.061947, 0.347662, 0.156681, - 0.861724, -0.068128, 0.347684, 0.173597, 0.862198, -0.074657, 0.347709, 0.191371, - 0.862733, -0.081523, 0.347727, 0.209976, 0.863371, -0.088664, 0.347744, 0.229351, - 0.864140, -0.095791, 0.347734, 0.249340, 0.865138, -0.102912, 0.347720, 0.269797, - 0.866182, -0.110924, 0.347800, 0.290654, 0.867436, -0.119223, 0.347911, 0.312074, - 0.869087, -0.126197, 0.347649, 0.335438, 0.870859, -0.133145, 0.347222, 0.359732, - 0.872997, -0.139869, 0.346645, 0.384670, 0.875939, -0.146089, 0.345935, 0.410190, - 0.879012, -0.152334, 0.345012, 0.436218, 0.883353, -0.158210, 0.343924, 0.462641, - 0.888362, -0.164097, 0.342636, 0.489449, 0.895026, -0.169528, 0.341351, 0.516629, - 0.900753, -0.174408, 0.339115, 0.544109, 0.906814, -0.177510, 0.335809, 0.572857, - 0.912855, -0.180101, 0.331597, 0.601554, 0.919438, -0.182116, 0.326980, 0.630198, - 0.925962, -0.183494, 0.321449, 0.658404, 0.931734, -0.184159, 0.314595, 0.686625, - 0.937620, -0.183040, 0.306462, 0.715310, 0.943858, -0.181323, 0.297514, 0.744272, - 0.948662, -0.178683, 0.287447, 0.771462, 0.953299, -0.175379, 0.276166, 0.798593, - 0.957346, -0.170395, 0.263758, 0.825600, 0.962565, -0.165042, 0.251019, 0.852575, - 0.966075, -0.158655, 0.237011, 0.878316, 0.969048, -0.151707, 0.222518, 0.903290, - 0.972423, -0.143271, 0.207848, 0.927745, 0.975833, -0.134824, 0.192463, 0.950859, - 0.977629, -0.125444, 0.176800, 0.972947, 0.978995, -0.114949, 0.161033, 0.993263, - 0.980533, -0.104936, 0.145523, 1.013370, 0.980745, -0.093558, 0.129799, 1.031280, - 0.981814, -0.082296, 0.113486, 1.048250, 0.983943, -0.071008, 0.097293, 1.064050, - 0.986141, -0.058793, 0.080814, 1.078500, 0.988878, -0.047275, 0.064491, 1.092040, - 0.992132, -0.034913, 0.047813, 1.104130, 0.995300, -0.023241, 0.031621, 1.115270, - 0.998117, -0.011271, 0.015494, 1.125510, 1.000030, 0.000340, -0.000196, 1.135040, - 0.845441, -0.000007, 0.364305, 0.000017, 0.843588, -0.000183, 0.363506, 0.000425, - 0.843412, -0.000733, 0.363430, 0.001700, 0.843401, -0.001648, 0.363426, 0.003825, - 0.843399, -0.002930, 0.363425, 0.006800, 0.843401, -0.004578, 0.363425, 0.010625, - 0.843394, -0.006592, 0.363421, 0.015300, 0.843398, -0.008973, 0.363421, 0.020826, - 0.843415, -0.011719, 0.363426, 0.027202, 0.843438, -0.014831, 0.363432, 0.034431, - 0.843483, -0.018309, 0.363447, 0.042512, 0.843560, -0.022152, 0.363472, 0.051447, - 0.843646, -0.026360, 0.363499, 0.061238, 0.843743, -0.030932, 0.363527, 0.071887, - 0.843880, -0.035866, 0.363569, 0.083397, 0.844079, -0.041162, 0.363631, 0.095774, - 0.844279, -0.046813, 0.363688, 0.109015, 0.844549, -0.052792, 0.363761, 0.123124, - 0.844858, -0.058820, 0.363817, 0.138044, 0.845220, -0.064757, 0.363830, 0.153755, - 0.845669, -0.071318, 0.363879, 0.170394, 0.846155, -0.078170, 0.363908, 0.187861, - 0.846789, -0.085391, 0.363969, 0.206176, 0.847502, -0.092809, 0.363999, 0.225244, - 0.848400, -0.100050, 0.363997, 0.244926, 0.849461, -0.107615, 0.364008, 0.265188, - 0.850562, -0.115814, 0.364055, 0.285870, 0.851962, -0.124334, 0.364179, 0.306926, - 0.854326, -0.131995, 0.364233, 0.329605, 0.856295, -0.139338, 0.363856, 0.353590, - 0.858857, -0.146346, 0.363347, 0.378310, 0.862428, -0.152994, 0.362807, 0.403722, - 0.866203, -0.159463, 0.361963, 0.429537, 0.871629, -0.165623, 0.361120, 0.456000, - 0.877365, -0.171649, 0.359917, 0.482773, 0.883744, -0.177151, 0.358480, 0.509705, - 0.890693, -0.182381, 0.356523, 0.537215, 0.897278, -0.186076, 0.353300, 0.565493, - 0.903958, -0.188602, 0.349095, 0.594293, 0.910908, -0.190755, 0.344215, 0.623165, - 0.918117, -0.192063, 0.338606, 0.651573, 0.924644, -0.192758, 0.331544, 0.679869, - 0.931054, -0.192238, 0.323163, 0.708668, 0.937303, -0.190035, 0.313529, 0.737201, - 0.943387, -0.187162, 0.303152, 0.764977, 0.948494, -0.183876, 0.291460, 0.792683, - 0.952546, -0.178901, 0.277917, 0.819228, 0.958077, -0.173173, 0.264753, 0.846559, - 0.962462, -0.166450, 0.250020, 0.872962, 0.966569, -0.159452, 0.234873, 0.898729, - 0.969108, -0.150740, 0.218752, 0.923126, 0.973072, -0.141523, 0.202673, 0.947278, - 0.975452, -0.132075, 0.186326, 0.969938, 0.977784, -0.121257, 0.169396, 0.991325, - 0.978990, -0.110182, 0.153044, 1.011230, 0.979777, -0.098963, 0.136485, 1.029900, - 0.980865, -0.086589, 0.119343, 1.047270, 0.982432, -0.074611, 0.102452, 1.063410, - 0.984935, -0.062182, 0.085242, 1.078340, 0.987776, -0.049569, 0.067855, 1.092000, - 0.991030, -0.037239, 0.050692, 1.104300, 0.994740, -0.024435, 0.033332, 1.115760, - 0.997768, -0.012145, 0.016435, 1.126170, 1.000030, 0.000318, -0.000170, 1.135980, - 0.825551, -0.000008, 0.378425, 0.000017, 0.826640, -0.000191, 0.378923, 0.000417, - 0.826323, -0.000763, 0.378779, 0.001666, 0.826359, -0.001718, 0.378795, 0.003748, - 0.826360, -0.003054, 0.378795, 0.006663, 0.826368, -0.004772, 0.378798, 0.010410, - 0.826364, -0.006871, 0.378795, 0.014991, 0.826368, -0.009352, 0.378795, 0.020405, - 0.826376, -0.012215, 0.378797, 0.026653, 0.826399, -0.015458, 0.378803, 0.033736, - 0.826460, -0.019082, 0.378824, 0.041654, 0.826525, -0.023087, 0.378846, 0.050409, - 0.826614, -0.027472, 0.378876, 0.060003, 0.826740, -0.032236, 0.378917, 0.070439, - 0.826888, -0.037377, 0.378964, 0.081720, 0.827078, -0.042894, 0.379024, 0.093849, - 0.827318, -0.048778, 0.379099, 0.106828, 0.827640, -0.054994, 0.379199, 0.120659, - 0.827926, -0.061106, 0.379227, 0.135260, 0.828325, -0.067505, 0.379275, 0.150713, - 0.828801, -0.074345, 0.379332, 0.167034, 0.829400, -0.081552, 0.379415, 0.184209, - 0.830094, -0.089078, 0.379495, 0.202203, 0.830900, -0.096736, 0.379555, 0.220945, - 0.831943, -0.104135, 0.379577, 0.240306, 0.833037, -0.112106, 0.379604, 0.260317, - 0.834278, -0.120554, 0.379668, 0.280800, 0.836192, -0.129128, 0.379900, 0.301654, - 0.838671, -0.137541, 0.380109, 0.323502, 0.840939, -0.145230, 0.379809, 0.347176, - 0.844575, -0.152480, 0.379593, 0.371706, 0.848379, -0.159607, 0.379090, 0.396880, - 0.853616, -0.166267, 0.378617, 0.422702, 0.858921, -0.172698, 0.377746, 0.448919, - 0.865324, -0.178823, 0.376749, 0.475661, 0.872207, -0.184542, 0.375363, 0.502599, - 0.880018, -0.189836, 0.373657, 0.529914, 0.886940, -0.194294, 0.370673, 0.557683, - 0.894779, -0.197022, 0.366620, 0.586848, 0.902242, -0.199108, 0.361380, 0.615831, - 0.909914, -0.200398, 0.355434, 0.644478, 0.917088, -0.200940, 0.348173, 0.672905, - 0.923888, -0.200671, 0.339482, 0.701327, 0.930495, -0.198773, 0.329560, 0.730101, - 0.937247, -0.195394, 0.318363, 0.758383, 0.943108, -0.191956, 0.306323, 0.786539, - 0.948296, -0.187227, 0.292576, 0.813637, 0.953472, -0.181165, 0.278234, 0.840793, - 0.958485, -0.174119, 0.263054, 0.867712, 0.962714, -0.166564, 0.246756, 0.893635, - 0.966185, -0.158181, 0.229945, 0.919028, 0.970146, -0.148275, 0.212633, 0.943413, - 0.973491, -0.138157, 0.195229, 0.966627, 0.975741, -0.127574, 0.178048, 0.988817, - 0.977238, -0.115540, 0.160312, 1.009240, 0.978411, -0.103640, 0.142857, 1.028450, - 0.979811, -0.091312, 0.125317, 1.046480, 0.981160, -0.078256, 0.107627, 1.062840, - 0.983543, -0.065596, 0.089586, 1.077980, 0.986789, -0.052041, 0.071376, 1.092000, - 0.990292, -0.038973, 0.053228, 1.104840, 0.994187, -0.025808, 0.035194, 1.116420, - 0.997499, -0.012607, 0.017320, 1.127030, 0.999999, 0.000276, -0.000149, 1.136740, - 0.810750, -0.000008, 0.394456, 0.000016, 0.808692, -0.000198, 0.393453, 0.000408, - 0.808460, -0.000793, 0.393340, 0.001630, 0.808595, -0.001784, 0.393407, 0.003667, - 0.808597, -0.003172, 0.393408, 0.006519, 0.808598, -0.004956, 0.393408, 0.010187, - 0.808591, -0.007136, 0.393403, 0.014669, 0.808592, -0.009713, 0.393402, 0.019967, - 0.808610, -0.012686, 0.393407, 0.026080, 0.808633, -0.016054, 0.393413, 0.033011, - 0.808680, -0.019817, 0.393429, 0.040759, 0.808748, -0.023976, 0.393453, 0.049326, - 0.808854, -0.028529, 0.393490, 0.058716, 0.808992, -0.033475, 0.393540, 0.068930, - 0.809141, -0.038812, 0.393588, 0.079971, 0.809352, -0.044538, 0.393660, 0.091843, - 0.809608, -0.050643, 0.393742, 0.104549, 0.809915, -0.057071, 0.393834, 0.118085, - 0.810253, -0.063353, 0.393885, 0.132377, 0.810687, -0.070097, 0.393953, 0.147537, - 0.811233, -0.077227, 0.394047, 0.163543, 0.811865, -0.084763, 0.394148, 0.180394, - 0.812648, -0.092566, 0.394265, 0.198051, 0.813583, -0.100416, 0.394363, 0.216443, - 0.814683, -0.108119, 0.394402, 0.235502, 0.815948, -0.116440, 0.394489, 0.255242, - 0.817278, -0.125036, 0.394542, 0.275441, 0.819605, -0.133655, 0.394860, 0.296094, - 0.822256, -0.142682, 0.395248, 0.317309, 0.825349, -0.150756, 0.395241, 0.340516, - 0.829605, -0.158392, 0.395285, 0.364819, 0.833910, -0.165801, 0.394922, 0.389736, - 0.839808, -0.172677, 0.394691, 0.415409, 0.845708, -0.179448, 0.394006, 0.441546, - 0.853025, -0.185746, 0.393279, 0.468320, 0.859666, -0.191684, 0.391655, 0.495302, - 0.867890, -0.197146, 0.390068, 0.522620, 0.875845, -0.201904, 0.387270, 0.550336, - 0.882634, -0.205023, 0.382688, 0.578825, 0.891076, -0.207098, 0.377543, 0.608103, - 0.900589, -0.208474, 0.371752, 0.637230, 0.907910, -0.209068, 0.364016, 0.665769, - 0.915971, -0.208655, 0.355593, 0.694428, 0.923455, -0.207290, 0.345439, 0.723224, - 0.931514, -0.203821, 0.334099, 0.751925, 0.937885, -0.199860, 0.321069, 0.780249, - 0.943136, -0.194993, 0.306571, 0.807700, 0.948818, -0.189132, 0.291556, 0.834970, - 0.954433, -0.181617, 0.275745, 0.861880, 0.959078, -0.173595, 0.258695, 0.888562, - 0.962705, -0.164855, 0.240825, 0.914008, 0.966753, -0.155129, 0.222680, 0.939145, - 0.970704, -0.144241, 0.204542, 0.963393, 0.973367, -0.133188, 0.185927, 0.985983, - 0.975984, -0.121146, 0.167743, 1.007040, 0.976994, -0.108366, 0.149218, 1.027150, - 0.978485, -0.095675, 0.131310, 1.045500, 0.980074, -0.082073, 0.112513, 1.062210, - 0.982250, -0.068406, 0.093832, 1.077820, 0.985530, -0.054950, 0.074951, 1.091990, - 0.989529, -0.040786, 0.055848, 1.105080, 0.993536, -0.027198, 0.036858, 1.116840, - 0.997247, -0.013272, 0.018184, 1.127890, 1.000000, 0.000432, -0.000199, 1.137920, - 0.785886, -0.000008, 0.405036, 0.000016, 0.790388, -0.000205, 0.407355, 0.000398, - 0.790145, -0.000821, 0.407231, 0.001593, 0.790135, -0.001847, 0.407226, 0.003583, - 0.790119, -0.003283, 0.407218, 0.006370, 0.790126, -0.005130, 0.407220, 0.009954, - 0.790130, -0.007387, 0.407221, 0.014334, 0.790135, -0.010054, 0.407221, 0.019511, - 0.790134, -0.013131, 0.407217, 0.025485, 0.790160, -0.016617, 0.407224, 0.032257, - 0.790197, -0.020512, 0.407236, 0.039828, 0.790273, -0.024816, 0.407263, 0.048201, - 0.790381, -0.029527, 0.407304, 0.057378, 0.790521, -0.034645, 0.407355, 0.067360, - 0.790704, -0.040167, 0.407420, 0.078152, 0.790925, -0.046090, 0.407499, 0.089758, - 0.791195, -0.052402, 0.407589, 0.102180, 0.791522, -0.059012, 0.407691, 0.115410, - 0.791878, -0.065488, 0.407748, 0.129390, 0.792361, -0.072521, 0.407849, 0.144237, - 0.792942, -0.079984, 0.407963, 0.159924, 0.793620, -0.087790, 0.408087, 0.176425, - 0.794529, -0.095845, 0.408259, 0.193733, 0.795521, -0.103827, 0.408362, 0.211756, - 0.796778, -0.111937, 0.408482, 0.230524, 0.798027, -0.120521, 0.408547, 0.249967, - 0.799813, -0.129242, 0.408721, 0.269926, 0.802387, -0.138048, 0.409148, 0.290338, - 0.805279, -0.147301, 0.409641, 0.311193, 0.809251, -0.155895, 0.410154, 0.333611, - 0.813733, -0.163942, 0.410297, 0.357615, 0.819081, -0.171666, 0.410373, 0.382339, - 0.825427, -0.178905, 0.410348, 0.407828, 0.831720, -0.185812, 0.409486, 0.434034, - 0.838770, -0.192318, 0.408776, 0.460493, 0.845817, -0.198249, 0.407176, 0.487346, - 0.854664, -0.204034, 0.405719, 0.514832, 0.863495, -0.208908, 0.403282, 0.542401, - 0.871883, -0.212765, 0.399293, 0.570683, 0.880650, -0.214911, 0.393803, 0.599947, - 0.890040, -0.216214, 0.387536, 0.629320, 0.898476, -0.216745, 0.379846, 0.658319, - 0.906738, -0.216387, 0.370625, 0.687138, 0.914844, -0.215053, 0.360139, 0.716010, - 0.923877, -0.212007, 0.348849, 0.745124, 0.931925, -0.207481, 0.335639, 0.773366, - 0.938054, -0.202418, 0.320798, 0.801636, 0.943895, -0.196507, 0.304772, 0.829055, - 0.949468, -0.189009, 0.288033, 0.856097, 0.955152, -0.180539, 0.270532, 0.883010, - 0.959403, -0.171437, 0.251639, 0.909296, 0.963309, -0.161661, 0.232563, 0.934868, - 0.967399, -0.150425, 0.213231, 0.959662, 0.972009, -0.138659, 0.194247, 0.983020, - 0.974330, -0.126595, 0.174718, 1.005170, 0.975823, -0.113205, 0.155518, 1.025660, - 0.976371, -0.099610, 0.136709, 1.044180, 0.978705, -0.086075, 0.117571, 1.061460, - 0.981477, -0.071444, 0.098005, 1.077770, 0.984263, -0.057230, 0.078218, 1.092140, - 0.988423, -0.042888, 0.058405, 1.105530, 0.993000, -0.028244, 0.038522, 1.117580, - 0.997040, -0.014018, 0.019015, 1.128640, 0.999913, 0.000369, -0.000145, 1.139010, - 0.777662, -0.000008, 0.423844, 0.000015, 0.770458, -0.000212, 0.419915, 0.000388, - 0.770716, -0.000847, 0.420055, 0.001554, 0.770982, -0.001906, 0.420202, 0.003497, - 0.770981, -0.003388, 0.420201, 0.006216, 0.770980, -0.005293, 0.420200, 0.009713, - 0.770983, -0.007622, 0.420200, 0.013987, 0.770985, -0.010374, 0.420198, 0.019038, - 0.770996, -0.013549, 0.420200, 0.024868, 0.771029, -0.017146, 0.420212, 0.031476, - 0.771052, -0.021165, 0.420215, 0.038865, 0.771131, -0.025605, 0.420245, 0.047036, - 0.771235, -0.030465, 0.420284, 0.055991, 0.771383, -0.035744, 0.420341, 0.065735, - 0.771591, -0.041439, 0.420423, 0.076269, 0.771819, -0.047546, 0.420506, 0.087598, - 0.772123, -0.054051, 0.420617, 0.099727, 0.772464, -0.060797, 0.420720, 0.112637, - 0.772855, -0.067539, 0.420799, 0.126313, 0.773317, -0.074832, 0.420893, 0.140824, - 0.773981, -0.082568, 0.421058, 0.156170, 0.774746, -0.090631, 0.421226, 0.172322, - 0.775660, -0.098898, 0.421397, 0.189253, 0.776837, -0.106994, 0.421569, 0.206912, - 0.778097, -0.115528, 0.421704, 0.225359, 0.779588, -0.124317, 0.421849, 0.244470, - 0.781574, -0.133139, 0.422097, 0.264156, 0.784451, -0.142179, 0.422615, 0.284318, - 0.787682, -0.151650, 0.423269, 0.304902, 0.792433, -0.160771, 0.424396, 0.326500, - 0.797359, -0.169166, 0.424772, 0.350140, 0.803986, -0.177149, 0.425475, 0.374768, - 0.809504, -0.184745, 0.424996, 0.399928, 0.815885, -0.191730, 0.424247, 0.425796, - 0.823513, -0.198525, 0.423515, 0.452287, 0.832549, -0.204709, 0.422787, 0.479321, - 0.841653, -0.210447, 0.421187, 0.506718, 0.850401, -0.215501, 0.418519, 0.534320, - 0.859854, -0.219752, 0.414715, 0.562420, 0.869364, -0.222305, 0.409462, 0.591558, - 0.878837, -0.223744, 0.402926, 0.621074, 0.888636, -0.224065, 0.395043, 0.650538, - 0.898132, -0.223742, 0.385640, 0.679538, 0.907181, -0.222308, 0.375378, 0.708674, - 0.915621, -0.219837, 0.363212, 0.737714, 0.923900, -0.215233, 0.349313, 0.767014, - 0.931644, -0.209592, 0.334162, 0.795133, 0.938887, -0.203644, 0.317943, 0.823228, - 0.945282, -0.196349, 0.300581, 0.850822, 0.950758, -0.187420, 0.282195, 0.877594, - 0.956146, -0.177879, 0.262481, 0.904564, 0.960355, -0.167643, 0.242487, 0.930741, - 0.965256, -0.156671, 0.222668, 0.955868, 0.968029, -0.144123, 0.201907, 0.979869, - 0.972510, -0.131305, 0.182020, 1.002910, 0.974925, -0.118335, 0.161909, 1.023920, - 0.975402, -0.103714, 0.142129, 1.043300, 0.976987, -0.089415, 0.122447, 1.060890, - 0.979677, -0.074886, 0.102248, 1.077130, 0.983184, -0.059609, 0.081485, 1.092180, - 0.987466, -0.044767, 0.060948, 1.105850, 0.992348, -0.029522, 0.040183, 1.118290, - 0.996674, -0.014392, 0.019816, 1.129660, 1.000030, 0.000321, -0.000150, 1.140200, - 0.757901, -0.000009, 0.436176, 0.000015, 0.751195, -0.000218, 0.432317, 0.000379, - 0.751178, -0.000871, 0.432307, 0.001514, 0.751195, -0.001961, 0.432317, 0.003407, - 0.751198, -0.003486, 0.432318, 0.006057, 0.751195, -0.005446, 0.432315, 0.009464, - 0.751207, -0.007842, 0.432320, 0.013628, 0.751213, -0.010673, 0.432320, 0.018550, - 0.751221, -0.013939, 0.432319, 0.024230, 0.751244, -0.017640, 0.432325, 0.030669, - 0.751300, -0.021774, 0.432348, 0.037870, 0.751358, -0.026341, 0.432367, 0.045832, - 0.751458, -0.031340, 0.432404, 0.054559, 0.751608, -0.036768, 0.432464, 0.064054, - 0.751800, -0.042625, 0.432540, 0.074322, 0.752065, -0.048903, 0.432645, 0.085367, - 0.752376, -0.055583, 0.432762, 0.097191, 0.752715, -0.062386, 0.432859, 0.109768, - 0.753137, -0.069415, 0.432958, 0.123126, 0.753676, -0.077004, 0.433099, 0.137308, - 0.754345, -0.084971, 0.433272, 0.152290, 0.755235, -0.093268, 0.433504, 0.168075, - 0.756186, -0.101710, 0.433693, 0.184625, 0.757363, -0.110019, 0.433857, 0.201897, - 0.758840, -0.118870, 0.434102, 0.220014, 0.760467, -0.127881, 0.434306, 0.238778, - 0.762969, -0.136766, 0.434751, 0.258172, 0.765823, -0.146120, 0.435290, 0.278062, - 0.769676, -0.155660, 0.436236, 0.298437, 0.774909, -0.165177, 0.437754, 0.319532, - 0.779940, -0.174020, 0.438343, 0.342505, 0.785757, -0.182201, 0.438609, 0.366693, - 0.792487, -0.190104, 0.438762, 0.391668, 0.800380, -0.197438, 0.438795, 0.417494, - 0.808494, -0.204365, 0.438226, 0.443933, 0.817695, -0.210714, 0.437283, 0.470929, - 0.828111, -0.216651, 0.436087, 0.498569, 0.837901, -0.221804, 0.433717, 0.526165, - 0.847813, -0.226318, 0.430133, 0.554155, 0.858314, -0.229297, 0.425213, 0.582822, - 0.868891, -0.230999, 0.418576, 0.612847, 0.878941, -0.231155, 0.410405, 0.642445, - 0.888809, -0.230935, 0.400544, 0.672024, 0.898089, -0.229343, 0.389613, 0.701366, - 0.908081, -0.226886, 0.377197, 0.730763, 0.916819, -0.222676, 0.363397, 0.759642, - 0.924968, -0.216835, 0.347437, 0.788775, 0.932906, -0.210245, 0.329950, 0.817135, - 0.940025, -0.202992, 0.312262, 0.844912, 0.946101, -0.194360, 0.293313, 0.872164, - 0.952835, -0.184125, 0.273638, 0.899443, 0.957347, -0.173657, 0.252385, 0.926389, - 0.961434, -0.162204, 0.231038, 0.951947, 0.965522, -0.149790, 0.209834, 0.976751, - 0.969412, -0.136307, 0.188821, 1.000220, 0.973902, -0.122527, 0.168013, 1.022290, - 0.974045, -0.108213, 0.147634, 1.041990, 0.975775, -0.092740, 0.127050, 1.060190, - 0.978383, -0.077821, 0.106309, 1.077110, 0.982110, -0.062122, 0.084928, 1.092450, - 0.986517, -0.046385, 0.063352, 1.106510, 0.991696, -0.030935, 0.041970, 1.119030, - 0.996349, -0.015091, 0.020627, 1.130730, 1.000030, 0.000442, -0.000231, 1.141460, - 0.727498, -0.000009, 0.441528, 0.000015, 0.730897, -0.000224, 0.443589, 0.000368, - 0.730796, -0.000894, 0.443528, 0.001473, 0.730805, -0.002011, 0.443533, 0.003314, - 0.730814, -0.003576, 0.443538, 0.005892, 0.730815, -0.005587, 0.443538, 0.009207, - 0.730822, -0.008045, 0.443540, 0.013258, 0.730836, -0.010950, 0.443545, 0.018047, - 0.730848, -0.014301, 0.443546, 0.023573, 0.730871, -0.018097, 0.443552, 0.029838, - 0.730915, -0.022338, 0.443567, 0.036844, 0.730982, -0.027023, 0.443591, 0.044591, - 0.731076, -0.032149, 0.443627, 0.053083, 0.731245, -0.037717, 0.443699, 0.062324, - 0.731440, -0.043722, 0.443777, 0.072318, 0.731700, -0.050158, 0.443881, 0.083069, - 0.732034, -0.056994, 0.444014, 0.094581, 0.732388, -0.063876, 0.444113, 0.106825, - 0.732853, -0.071203, 0.444247, 0.119859, 0.733473, -0.079008, 0.444442, 0.133690, - 0.734195, -0.087194, 0.444645, 0.148304, 0.735069, -0.095696, 0.444877, 0.163702, - 0.736169, -0.104260, 0.445133, 0.179861, 0.737470, -0.112853, 0.445370, 0.196778, - 0.738991, -0.121990, 0.445651, 0.214496, 0.740865, -0.131153, 0.445958, 0.232913, - 0.743637, -0.140245, 0.446548, 0.251977, 0.746797, -0.149722, 0.447246, 0.271551, - 0.751517, -0.159341, 0.448656, 0.291774, 0.756156, -0.169106, 0.449866, 0.312455, - 0.761519, -0.178436, 0.450919, 0.334552, 0.768295, -0.186904, 0.451776, 0.358491, - 0.776613, -0.195117, 0.452832, 0.383446, 0.783966, -0.202695, 0.452490, 0.408945, - 0.793542, -0.209850, 0.452587, 0.435364, 0.803192, -0.216403, 0.451852, 0.462336, - 0.813892, -0.222510, 0.450708, 0.489870, 0.824968, -0.227676, 0.448600, 0.517697, - 0.835859, -0.232443, 0.445156, 0.545975, 0.846825, -0.235775, 0.440351, 0.574483, - 0.858085, -0.237897, 0.433641, 0.604246, 0.868825, -0.238074, 0.425354, 0.634101, - 0.879638, -0.237661, 0.415383, 0.664201, 0.889966, -0.236186, 0.404136, 0.693918, - 0.899479, -0.233599, 0.390917, 0.723481, 0.908769, -0.229737, 0.376352, 0.752580, - 0.917966, -0.223836, 0.360372, 0.781764, 0.926304, -0.217067, 0.342551, 0.811139, - 0.934626, -0.209309, 0.324238, 0.839585, 0.941841, -0.200710, 0.304484, 0.867044, - 0.947890, -0.190602, 0.283607, 0.894579, 0.954196, -0.179253, 0.262205, 0.921743, - 0.958383, -0.167646, 0.239847, 0.948026, 0.963119, -0.155073, 0.218078, 0.973296, - 0.966941, -0.141426, 0.195899, 0.998135, 0.970836, -0.126849, 0.174121, 1.020210, - 0.973301, -0.112296, 0.153052, 1.040850, 0.974480, -0.096496, 0.131733, 1.059460, - 0.977045, -0.080489, 0.109970, 1.076930, 0.980751, -0.064844, 0.088166, 1.092540, - 0.985475, -0.048194, 0.065799, 1.106970, 0.991089, -0.031919, 0.043521, 1.120040, - 0.996122, -0.015809, 0.021478, 1.131730, 1.000010, 0.000372, -0.000200, 1.142910, - 0.708622, -0.000009, 0.453040, 0.000014, 0.711162, -0.000229, 0.454662, 0.000358, - 0.709812, -0.000914, 0.453797, 0.001430, 0.709865, -0.002058, 0.453834, 0.003219, - 0.709864, -0.003659, 0.453833, 0.005723, 0.709855, -0.005717, 0.453826, 0.008943, - 0.709862, -0.008232, 0.453828, 0.012878, 0.709875, -0.011204, 0.453832, 0.017529, - 0.709896, -0.014632, 0.453839, 0.022898, 0.709925, -0.018516, 0.453847, 0.028984, - 0.709974, -0.022855, 0.453866, 0.035789, 0.710045, -0.027647, 0.453892, 0.043316, - 0.710133, -0.032891, 0.453924, 0.051567, 0.710292, -0.038585, 0.453992, 0.060546, - 0.710485, -0.044725, 0.454070, 0.070257, 0.710769, -0.051305, 0.454192, 0.080708, - 0.711106, -0.058273, 0.454329, 0.091896, 0.711516, -0.065287, 0.454460, 0.103814, - 0.712071, -0.072843, 0.454653, 0.116508, 0.712676, -0.080831, 0.454840, 0.129968, - 0.713476, -0.089222, 0.455096, 0.144206, 0.714377, -0.097905, 0.455346, 0.159212, - 0.715579, -0.106531, 0.455647, 0.174973, 0.716977, -0.115492, 0.455961, 0.191504, - 0.718620, -0.124821, 0.456315, 0.208835, 0.720840, -0.134079, 0.456800, 0.226869, - 0.723786, -0.143427, 0.457521, 0.245582, 0.727464, -0.153061, 0.458475, 0.264957, - 0.732771, -0.162768, 0.460239, 0.284948, 0.736515, -0.172627, 0.460899, 0.305220, - 0.743519, -0.182487, 0.463225, 0.326717, 0.750041, -0.191295, 0.464027, 0.350113, - 0.758589, -0.199746, 0.465227, 0.374782, 0.767703, -0.207584, 0.465877, 0.400226, - 0.777484, -0.214973, 0.465996, 0.426442, 0.788792, -0.221796, 0.466019, 0.453688, - 0.800194, -0.228038, 0.465083, 0.481246, 0.811234, -0.233346, 0.462506, 0.509086, - 0.822859, -0.238073, 0.459257, 0.537338, 0.835082, -0.241764, 0.454863, 0.566108, - 0.846332, -0.244241, 0.448163, 0.595126, 0.858355, -0.244736, 0.439709, 0.625574, - 0.870340, -0.244278, 0.429837, 0.656170, 0.881027, -0.242550, 0.418002, 0.686029, - 0.891007, -0.239912, 0.404325, 0.716039, 0.900874, -0.236133, 0.389222, 0.745518, - 0.911072, -0.230672, 0.373269, 0.775026, 0.920359, -0.223560, 0.355083, 0.804521, - 0.928604, -0.215591, 0.335533, 0.834045, 0.937175, -0.206503, 0.315278, 0.861612, - 0.942825, -0.196684, 0.293653, 0.889131, 0.949805, -0.185116, 0.271503, 0.916853, - 0.955535, -0.172703, 0.248821, 0.943541, 0.959843, -0.159978, 0.225591, 0.970132, - 0.964393, -0.146375, 0.202719, 0.994709, 0.968008, -0.131269, 0.179928, 1.018600, - 0.971013, -0.115690, 0.158007, 1.039280, 0.973334, -0.100300, 0.136240, 1.058870, - 0.975775, -0.083335, 0.113800, 1.076520, 0.979579, -0.066898, 0.091314, 1.092970, - 0.984323, -0.050090, 0.068305, 1.107340, 0.990351, -0.033238, 0.045177, 1.120840, - 0.995823, -0.016149, 0.022170, 1.132960, 1.000100, 0.000234, -0.000109, 1.144410, - 0.683895, -0.000009, 0.460150, 0.000014, 0.688330, -0.000233, 0.463134, 0.000347, - 0.688368, -0.000934, 0.463159, 0.001387, 0.688367, -0.002100, 0.463159, 0.003122, - 0.688369, -0.003734, 0.463159, 0.005550, 0.688377, -0.005834, 0.463163, 0.008672, - 0.688386, -0.008401, 0.463166, 0.012488, 0.688398, -0.011434, 0.463169, 0.016999, - 0.688418, -0.014933, 0.463175, 0.022205, 0.688453, -0.018896, 0.463188, 0.028108, - 0.688515, -0.023324, 0.463214, 0.034709, 0.688570, -0.028214, 0.463231, 0.042009, - 0.688679, -0.033564, 0.463276, 0.050013, 0.688854, -0.039373, 0.463356, 0.058725, - 0.689038, -0.045635, 0.463430, 0.068148, 0.689321, -0.052343, 0.463553, 0.078290, - 0.689662, -0.059412, 0.463693, 0.089150, 0.690188, -0.066574, 0.463900, 0.100735, - 0.690755, -0.074311, 0.464107, 0.113074, 0.691405, -0.082472, 0.464329, 0.126161, - 0.692198, -0.091048, 0.464585, 0.140007, 0.693196, -0.099878, 0.464893, 0.154612, - 0.694540, -0.108651, 0.465285, 0.169984, 0.695921, -0.117855, 0.465596, 0.186106, - 0.697749, -0.127340, 0.466056, 0.203034, 0.700375, -0.136714, 0.466771, 0.220703, - 0.703395, -0.146386, 0.467579, 0.239062, 0.707904, -0.156096, 0.469067, 0.258188, - 0.711673, -0.165904, 0.469851, 0.277759, 0.717489, -0.175812, 0.471815, 0.297935, - 0.724051, -0.185931, 0.473890, 0.318916, 0.731965, -0.195238, 0.475870, 0.341591, - 0.741151, -0.204021, 0.477523, 0.366062, 0.751416, -0.212113, 0.478881, 0.391396, - 0.761848, -0.219790, 0.479226, 0.417599, 0.771886, -0.226700, 0.478495, 0.444401, - 0.783998, -0.232991, 0.477622, 0.472084, 0.796523, -0.238645, 0.475833, 0.500193, - 0.808851, -0.243396, 0.472568, 0.528650, 0.821191, -0.247226, 0.467857, 0.557362, - 0.834261, -0.250102, 0.461871, 0.586768, 0.846762, -0.251056, 0.453543, 0.617085, - 0.859867, -0.250604, 0.443494, 0.647659, 0.871948, -0.248783, 0.431711, 0.678119, - 0.882967, -0.245855, 0.417911, 0.708399, 0.892826, -0.242168, 0.401993, 0.738256, - 0.903320, -0.237062, 0.385371, 0.767999, 0.913633, -0.229970, 0.366837, 0.798191, - 0.922774, -0.221687, 0.346372, 0.827756, 0.931371, -0.212345, 0.325682, 0.856425, - 0.938929, -0.202060, 0.303665, 0.884299, 0.944821, -0.190981, 0.280786, 0.912023, - 0.951792, -0.178065, 0.257300, 0.939669, 0.957712, -0.164634, 0.233448, 0.966550, - 0.961912, -0.150863, 0.209504, 0.992366, 0.966382, -0.135770, 0.185970, 1.016330, - 0.969588, -0.119593, 0.162905, 1.038430, 0.971777, -0.103203, 0.140530, 1.058410, - 0.974330, -0.086589, 0.117909, 1.076320, 0.978686, -0.069083, 0.094410, 1.093260, - 0.983281, -0.051657, 0.070567, 1.107960, 0.989562, -0.034558, 0.046859, 1.121820, - 0.995465, -0.016781, 0.022985, 1.134200, 0.999991, 0.000373, -0.000236, 1.145900, - 0.662251, -0.000009, 0.468575, 0.000013, 0.666634, -0.000238, 0.471675, 0.000336, - 0.666411, -0.000950, 0.471516, 0.001343, 0.666399, -0.002138, 0.471509, 0.003022, - 0.666386, -0.003801, 0.471499, 0.005373, 0.666405, -0.005940, 0.471511, 0.008395, - 0.666406, -0.008553, 0.471508, 0.012090, 0.666428, -0.011640, 0.471519, 0.016457, - 0.666444, -0.015201, 0.471522, 0.021497, 0.666490, -0.019236, 0.471543, 0.027212, - 0.666537, -0.023743, 0.471558, 0.033603, 0.666617, -0.028720, 0.471591, 0.040673, - 0.666718, -0.034165, 0.471631, 0.048424, 0.666889, -0.040076, 0.471710, 0.056862, - 0.667104, -0.046448, 0.471805, 0.065991, 0.667374, -0.053268, 0.471923, 0.075818, - 0.667772, -0.060380, 0.472098, 0.086343, 0.668371, -0.067739, 0.472363, 0.097592, - 0.668971, -0.075603, 0.472596, 0.109567, 0.669696, -0.083929, 0.472869, 0.122272, - 0.670481, -0.092668, 0.473126, 0.135718, 0.671500, -0.101600, 0.473442, 0.149914, - 0.672911, -0.110566, 0.473890, 0.164882, 0.674512, -0.119984, 0.474354, 0.180602, - 0.676510, -0.129574, 0.474922, 0.197110, 0.679292, -0.139106, 0.475764, 0.214371, - 0.682798, -0.148993, 0.476886, 0.232405, 0.686955, -0.158737, 0.478179, 0.251153, - 0.691406, -0.168754, 0.479432, 0.270436, 0.697438, -0.178703, 0.481481, 0.290374, - 0.704761, -0.188955, 0.484143, 0.311044, 0.713599, -0.198814, 0.487007, 0.333003, - 0.723194, -0.207869, 0.488962, 0.357144, 0.732601, -0.216189, 0.489815, 0.382169, - 0.744193, -0.223980, 0.490888, 0.408227, 0.754907, -0.231156, 0.490355, 0.434928, - 0.767403, -0.237470, 0.489548, 0.462599, 0.781070, -0.243503, 0.488274, 0.490908, - 0.793893, -0.248114, 0.484843, 0.519421, 0.807296, -0.252220, 0.480300, 0.548561, - 0.820529, -0.255265, 0.474097, 0.577772, 0.833716, -0.256741, 0.466041, 0.607782, - 0.848403, -0.256370, 0.456547, 0.638807, 0.860755, -0.254804, 0.443946, 0.670058, - 0.874012, -0.251834, 0.430852, 0.700749, 0.885619, -0.247867, 0.414903, 0.731446, - 0.896069, -0.242634, 0.397276, 0.761191, 0.906266, -0.236093, 0.378535, 0.791053, - 0.916759, -0.227543, 0.358038, 0.821298, 0.925230, -0.217830, 0.335705, 0.850747, - 0.934360, -0.207534, 0.313797, 0.879258, 0.941631, -0.195983, 0.289671, 0.907734, - 0.947564, -0.183567, 0.265319, 0.935206, 0.953681, -0.169345, 0.240815, 0.962739, - 0.960008, -0.154909, 0.216119, 0.989227, 0.964145, -0.140161, 0.192096, 1.014650, - 0.968171, -0.123411, 0.167855, 1.037370, 0.969859, -0.106525, 0.144817, 1.057670, - 0.972666, -0.089102, 0.121490, 1.076100, 0.977055, -0.071809, 0.097531, 1.093360, - 0.982527, -0.053421, 0.073022, 1.108780, 0.989001, -0.035558, 0.048337, 1.122850, - 0.995120, -0.017638, 0.023938, 1.135480, 1.000070, 0.000369, -0.000212, 1.147440, - 0.651047, -0.000010, 0.484101, 0.000013, 0.644145, -0.000241, 0.478968, 0.000325, - 0.643960, -0.000965, 0.478831, 0.001298, 0.643960, -0.002172, 0.478830, 0.002920, - 0.643968, -0.003860, 0.478835, 0.005192, 0.643974, -0.006032, 0.478838, 0.008113, - 0.643977, -0.008685, 0.478836, 0.011683, 0.643982, -0.011821, 0.478834, 0.015903, - 0.644024, -0.015437, 0.478856, 0.020774, 0.644059, -0.019534, 0.478868, 0.026298, - 0.644122, -0.024110, 0.478896, 0.032475, 0.644207, -0.029164, 0.478933, 0.039309, - 0.644320, -0.034692, 0.478981, 0.046803, 0.644481, -0.040692, 0.479053, 0.054961, - 0.644722, -0.047159, 0.479169, 0.063791, 0.645013, -0.054075, 0.479302, 0.073297, - 0.645503, -0.061200, 0.479541, 0.083490, 0.646117, -0.068730, 0.479829, 0.094387, - 0.646707, -0.076785, 0.480061, 0.105991, 0.647431, -0.085247, 0.480343, 0.118310, - 0.648310, -0.094072, 0.480660, 0.131348, 0.649486, -0.103056, 0.481083, 0.145140, - 0.650864, -0.112261, 0.481528, 0.159676, 0.652604, -0.121852, 0.482102, 0.174979, - 0.654825, -0.131505, 0.482813, 0.191079, 0.657876, -0.141189, 0.483876, 0.207927, - 0.661339, -0.151239, 0.484990, 0.225586, 0.665463, -0.161091, 0.486279, 0.243947, - 0.670542, -0.171235, 0.487968, 0.262957, 0.677361, -0.181347, 0.490530, 0.282781, - 0.685672, -0.191679, 0.493862, 0.303311, 0.694551, -0.201781, 0.496990, 0.324607, - 0.703753, -0.211164, 0.498884, 0.347916, 0.713703, -0.219675, 0.500086, 0.372628, - 0.725911, -0.227836, 0.501554, 0.398694, 0.738620, -0.235330, 0.502193, 0.425529, - 0.752118, -0.241786, 0.501811, 0.453209, 0.765790, -0.247865, 0.500185, 0.481381, - 0.779568, -0.252696, 0.497159, 0.510110, 0.793991, -0.256802, 0.492765, 0.539322, - 0.808182, -0.259942, 0.486827, 0.569078, 0.821698, -0.261703, 0.478386, 0.598818, - 0.836009, -0.262006, 0.468772, 0.629762, 0.849824, -0.260333, 0.456352, 0.661366, - 0.863888, -0.257398, 0.442533, 0.692950, 0.876585, -0.253264, 0.426573, 0.723608, - 0.888665, -0.248026, 0.408964, 0.754378, 0.899537, -0.241487, 0.389677, 0.784761, - 0.909400, -0.233463, 0.368516, 0.814688, 0.920166, -0.223397, 0.346624, 0.845009, - 0.928899, -0.212550, 0.322717, 0.874431, 0.937156, -0.200869, 0.298698, 0.902922, - 0.943861, -0.188387, 0.273491, 0.931356, 0.949557, -0.174341, 0.247866, 0.958854, - 0.955862, -0.158994, 0.222496, 0.986098, 0.961721, -0.143664, 0.197522, 1.012290, - 0.965976, -0.127412, 0.173020, 1.035710, 0.968652, -0.109798, 0.148954, 1.056990, - 0.971084, -0.091679, 0.125044, 1.075870, 0.975584, -0.073963, 0.100577, 1.093720, - 0.981220, -0.055322, 0.075367, 1.109480, 0.988253, -0.036682, 0.049890, 1.123940, - 0.994820, -0.018039, 0.024611, 1.136940, 1.000010, 0.000230, -0.000188, 1.149190, - 0.613867, -0.000010, 0.479449, 0.000012, 0.621485, -0.000245, 0.485399, 0.000313, - 0.621429, -0.000978, 0.485353, 0.001252, 0.621120, -0.002200, 0.485114, 0.002817, - 0.621119, -0.003911, 0.485112, 0.005008, 0.621122, -0.006111, 0.485112, 0.007825, - 0.621133, -0.008799, 0.485117, 0.011269, 0.621152, -0.011976, 0.485125, 0.015339, - 0.621183, -0.015640, 0.485139, 0.020038, 0.621227, -0.019790, 0.485158, 0.025366, - 0.621298, -0.024425, 0.485192, 0.031326, 0.621388, -0.029544, 0.485233, 0.037920, - 0.621507, -0.035143, 0.485286, 0.045152, 0.621693, -0.041220, 0.485378, 0.053028, - 0.621933, -0.047767, 0.485495, 0.061552, 0.622232, -0.054757, 0.485635, 0.070732, - 0.622809, -0.061942, 0.485943, 0.080588, 0.623407, -0.069625, 0.486232, 0.091127, - 0.624060, -0.077796, 0.486516, 0.102354, 0.624835, -0.086373, 0.486838, 0.114279, - 0.625758, -0.095251, 0.487188, 0.126902, 0.627043, -0.104299, 0.487695, 0.140285, - 0.628438, -0.113724, 0.488163, 0.154397, 0.630325, -0.123417, 0.488858, 0.169267, - 0.632801, -0.133137, 0.489754, 0.184941, 0.635784, -0.143052, 0.490815, 0.201360, - 0.639406, -0.153132, 0.492048, 0.218643, 0.643872, -0.163143, 0.493630, 0.236615, - 0.649900, -0.173330, 0.496009, 0.255449, 0.657201, -0.183622, 0.498994, 0.275006, - 0.666221, -0.194019, 0.502888, 0.295354, 0.674419, -0.204192, 0.505459, 0.316244, - 0.683729, -0.214060, 0.507771, 0.338490, 0.695584, -0.222854, 0.510245, 0.363166, - 0.708583, -0.231315, 0.512293, 0.389071, 0.721233, -0.238911, 0.512747, 0.415737, - 0.735134, -0.245657, 0.512482, 0.443331, 0.750179, -0.251879, 0.511526, 0.471891, - 0.765073, -0.256911, 0.508935, 0.500892, 0.779794, -0.261144, 0.504341, 0.530294, - 0.794801, -0.264316, 0.498515, 0.560144, 0.810339, -0.266276, 0.491015, 0.590213, - 0.824818, -0.266981, 0.481126, 0.620865, 0.839375, -0.265778, 0.468685, 0.652687, - 0.853043, -0.262748, 0.453925, 0.684759, 0.867335, -0.258474, 0.437912, 0.716209, - 0.880370, -0.253187, 0.419648, 0.747508, 0.891711, -0.246476, 0.399820, 0.777970, - 0.902896, -0.238735, 0.378790, 0.808586, 0.913601, -0.228850, 0.355891, 0.838843, - 0.923019, -0.217656, 0.331773, 0.869014, 0.933432, -0.205539, 0.307356, 0.898512, - 0.939691, -0.192595, 0.281321, 0.926900, 0.946938, -0.178945, 0.255441, 0.955297, - 0.952372, -0.163587, 0.229013, 0.983231, 0.959090, -0.147214, 0.203179, 1.009710, - 0.963675, -0.130640, 0.177920, 1.034380, 0.968247, -0.113121, 0.152898, 1.056250, - 0.970010, -0.094582, 0.128712, 1.075980, 0.974458, -0.075565, 0.103349, 1.094000, - 0.980168, -0.057200, 0.077673, 1.110400, 0.987295, -0.037799, 0.051444, 1.124910, - 0.994432, -0.018642, 0.025429, 1.138510, 0.999975, 0.000543, -0.000282, 1.151080, - 0.592656, -0.000010, 0.486018, 0.000012, 0.598467, -0.000247, 0.490781, 0.000302, - 0.597934, -0.000988, 0.490343, 0.001205, 0.597903, -0.002224, 0.490319, 0.002712, - 0.597913, -0.003953, 0.490327, 0.004821, 0.597919, -0.006177, 0.490329, 0.007533, - 0.597936, -0.008894, 0.490339, 0.010848, 0.597956, -0.012104, 0.490347, 0.014767, - 0.597992, -0.015807, 0.490365, 0.019290, 0.598032, -0.020002, 0.490382, 0.024420, - 0.598109, -0.024687, 0.490420, 0.030159, 0.598215, -0.029859, 0.490474, 0.036510, - 0.598330, -0.035517, 0.490524, 0.043476, 0.598525, -0.041656, 0.490624, 0.051063, - 0.598778, -0.048269, 0.490753, 0.059278, 0.599135, -0.055311, 0.490940, 0.068130, - 0.599802, -0.062542, 0.491328, 0.077647, 0.600361, -0.070364, 0.491598, 0.087818, - 0.601010, -0.078626, 0.491882, 0.098657, 0.601811, -0.087296, 0.492232, 0.110180, - 0.602861, -0.096228, 0.492684, 0.122400, 0.604167, -0.105380, 0.493213, 0.135354, - 0.605693, -0.114896, 0.493799, 0.149034, 0.607682, -0.124654, 0.494576, 0.163469, - 0.610672, -0.134560, 0.495900, 0.178747, 0.613313, -0.144581, 0.496713, 0.194723, - 0.617603, -0.154703, 0.498499, 0.211617, 0.622174, -0.164890, 0.500188, 0.229183, - 0.628855, -0.175164, 0.503072, 0.247786, 0.636963, -0.185565, 0.506798, 0.267116, - 0.644866, -0.195911, 0.509719, 0.287020, 0.653741, -0.206104, 0.512776, 0.307763, - 0.664942, -0.216447, 0.516812, 0.329631, 0.676330, -0.225520, 0.519181, 0.353515, - 0.690012, -0.234316, 0.521681, 0.379226, 0.704243, -0.242032, 0.523129, 0.405901, - 0.719396, -0.249172, 0.523768, 0.433585, 0.734471, -0.255543, 0.522541, 0.462085, - 0.750539, -0.260697, 0.520217, 0.491233, 0.766365, -0.265010, 0.516293, 0.521094, - 0.781677, -0.268409, 0.509708, 0.551014, 0.797132, -0.270399, 0.501944, 0.581463, - 0.812655, -0.271247, 0.492025, 0.612402, 0.828592, -0.270708, 0.480424, 0.643798, - 0.844044, -0.268085, 0.465955, 0.676820, 0.857305, -0.263459, 0.448425, 0.708496, - 0.871140, -0.258151, 0.430243, 0.740460, 0.884936, -0.251171, 0.410578, 0.771583, - 0.895772, -0.243305, 0.388620, 0.802234, 0.906961, -0.234037, 0.365214, 0.833179, - 0.917775, -0.222714, 0.341160, 0.863530, 0.927883, -0.210175, 0.315720, 0.893557, - 0.936617, -0.196925, 0.289159, 0.922976, 0.943384, -0.182788, 0.261996, 0.951606, - 0.949713, -0.167965, 0.235324, 0.979958, 0.955818, -0.151109, 0.208408, 1.007650, - 0.961344, -0.133834, 0.182591, 1.033290, 0.965469, -0.115987, 0.156958, 1.055700, - 0.968693, -0.097460, 0.132239, 1.075830, 0.973165, -0.077851, 0.106195, 1.094510, - 0.979387, -0.058507, 0.079767, 1.111370, 0.986710, -0.039041, 0.053026, 1.126430, - 0.994093, -0.019408, 0.026316, 1.140160, 1.000020, 0.000540, -0.000194, 1.152990, - 0.574483, -0.000010, 0.494533, 0.000011, 0.574478, -0.000249, 0.494528, 0.000289, - 0.574607, -0.000997, 0.494637, 0.001158, 0.574396, -0.002242, 0.494458, 0.002605, - 0.574377, -0.003986, 0.494440, 0.004631, 0.574386, -0.006228, 0.494445, 0.007236, - 0.574401, -0.008968, 0.494453, 0.010421, 0.574419, -0.012206, 0.494460, 0.014186, - 0.574459, -0.015940, 0.494481, 0.018532, 0.574525, -0.020169, 0.494520, 0.023462, - 0.574587, -0.024892, 0.494547, 0.028976, 0.574697, -0.030107, 0.494604, 0.035080, - 0.574853, -0.035811, 0.494688, 0.041777, 0.575027, -0.041999, 0.494772, 0.049072, - 0.575294, -0.048662, 0.494915, 0.056973, 0.575733, -0.055715, 0.495173, 0.065495, - 0.576356, -0.063049, 0.495537, 0.074661, 0.576944, -0.070929, 0.495836, 0.084461, - 0.577650, -0.079272, 0.496177, 0.094914, 0.578491, -0.088017, 0.496563, 0.106030, - 0.579639, -0.096946, 0.497096, 0.117841, 0.580989, -0.106220, 0.497684, 0.130367, - 0.582587, -0.115861, 0.498337, 0.143609, 0.584951, -0.125605, 0.499414, 0.157625, - 0.587602, -0.135608, 0.500518, 0.172413, 0.590760, -0.145742, 0.501767, 0.187999, - 0.594992, -0.155934, 0.503542, 0.204450, 0.600656, -0.166303, 0.506135, 0.221764, - 0.607816, -0.176681, 0.509542, 0.240020, 0.615220, -0.187071, 0.512630, 0.258992, - 0.623702, -0.197465, 0.516021, 0.278773, 0.634192, -0.207816, 0.520422, 0.299377, - 0.644936, -0.218183, 0.524073, 0.320802, 0.657888, -0.227800, 0.528049, 0.343840, - 0.670666, -0.236747, 0.529860, 0.369160, 0.685626, -0.244840, 0.531892, 0.395867, - 0.701304, -0.252071, 0.532727, 0.423488, 0.717727, -0.258714, 0.532146, 0.452201, - 0.733914, -0.264211, 0.529883, 0.481579, 0.750529, -0.268590, 0.525900, 0.511558, - 0.767470, -0.272046, 0.519990, 0.542042, 0.785189, -0.274225, 0.513083, 0.572799, - 0.800954, -0.275189, 0.502936, 0.603816, 0.816962, -0.274946, 0.490921, 0.635461, - 0.833360, -0.272695, 0.476840, 0.667600, 0.848143, -0.268223, 0.459405, 0.700510, - 0.861818, -0.262768, 0.440319, 0.732902, 0.876828, -0.255872, 0.420123, 0.765084, - 0.889312, -0.247703, 0.398379, 0.796391, 0.900412, -0.238381, 0.374496, 0.827333, - 0.912251, -0.227783, 0.349874, 0.858385, 0.921792, -0.214832, 0.323181, 0.888652, - 0.931273, -0.200949, 0.296624, 0.917763, 0.940295, -0.186537, 0.269211, 0.947878, - 0.946812, -0.171538, 0.241447, 0.977016, 0.953588, -0.155254, 0.213829, 1.005010, - 0.958841, -0.137156, 0.186807, 1.031790, 0.963746, -0.118699, 0.160706, 1.055020, - 0.966468, -0.099836, 0.135504, 1.075680, 0.971178, -0.080519, 0.109131, 1.094790, - 0.978310, -0.059935, 0.081829, 1.112300, 0.985886, -0.039966, 0.054587, 1.127710, - 0.994021, -0.019868, 0.026940, 1.141860, 1.000090, 0.000271, -0.000130, 1.155140, - 0.538716, -0.000010, 0.486732, 0.000011, 0.550656, -0.000251, 0.497518, 0.000277, - 0.550570, -0.001003, 0.497441, 0.001110, 0.550903, -0.002257, 0.497733, 0.002498, - 0.550568, -0.004010, 0.497438, 0.004439, 0.550574, -0.006266, 0.497440, 0.006936, - 0.550591, -0.009023, 0.497449, 0.009989, 0.550623, -0.012280, 0.497469, 0.013598, - 0.550667, -0.016036, 0.497495, 0.017765, 0.550724, -0.020291, 0.497526, 0.022492, - 0.550792, -0.025042, 0.497557, 0.027779, 0.550918, -0.030288, 0.497630, 0.033633, - 0.551058, -0.036024, 0.497701, 0.040057, 0.551276, -0.042247, 0.497824, 0.047059, - 0.551551, -0.048944, 0.497977, 0.054643, 0.552074, -0.055960, 0.498312, 0.062837, - 0.552681, -0.063398, 0.498679, 0.071646, 0.553324, -0.071318, 0.499031, 0.081075, - 0.554011, -0.079727, 0.499365, 0.091129, 0.554880, -0.088524, 0.499779, 0.101837, - 0.556171, -0.097442, 0.500444, 0.113239, 0.557498, -0.106841, 0.501025, 0.125316, - 0.559299, -0.116533, 0.501864, 0.138128, 0.561647, -0.126298, 0.502967, 0.151695, - 0.564347, -0.136388, 0.504129, 0.166040, 0.567863, -0.146576, 0.505713, 0.181207, - 0.572569, -0.156832, 0.507953, 0.197259, 0.578919, -0.167323, 0.511186, 0.214258, - 0.585387, -0.177712, 0.514042, 0.232038, 0.593134, -0.188184, 0.517484, 0.250733, - 0.603295, -0.198717, 0.522345, 0.270454, 0.613854, -0.209177, 0.526751, 0.290807, - 0.626092, -0.219644, 0.531595, 0.312202, 0.637868, -0.229494, 0.534721, 0.334435, - 0.652458, -0.238718, 0.538304, 0.359184, 0.666985, -0.247061, 0.539875, 0.385637, - 0.683301, -0.254652, 0.541042, 0.413280, 0.699980, -0.261376, 0.540735, 0.441903, - 0.717824, -0.267085, 0.539139, 0.471609, 0.734617, -0.271465, 0.534958, 0.501446, - 0.753663, -0.275280, 0.530320, 0.532571, 0.770512, -0.277617, 0.522134, 0.563641, - 0.787356, -0.278525, 0.512060, 0.595067, 0.806252, -0.278512, 0.501190, 0.627226, - 0.822061, -0.277023, 0.486791, 0.659402, 0.838959, -0.273175, 0.470467, 0.692874, - 0.853790, -0.267238, 0.450688, 0.725702, 0.868268, -0.260327, 0.429741, 0.758320, - 0.881994, -0.251946, 0.407223, 0.790189, 0.893885, -0.242432, 0.383214, 0.821625, - 0.905118, -0.231904, 0.357297, 0.853011, 0.916045, -0.219545, 0.330733, 0.883773, - 0.927614, -0.205378, 0.303916, 0.914435, 0.936005, -0.190388, 0.275941, 0.944502, - 0.944533, -0.174900, 0.247493, 0.974439, 0.950758, -0.158588, 0.218996, 1.002860, - 0.957078, -0.141027, 0.191559, 1.030400, 0.962448, -0.121507, 0.164457, 1.054660, - 0.964993, -0.102068, 0.138636, 1.076100, 0.970017, -0.082260, 0.111861, 1.095410, - 0.976610, -0.062033, 0.084344, 1.113170, 0.985073, -0.040983, 0.055850, 1.129110, - 0.993515, -0.020146, 0.027533, 1.143800, 1.000060, 0.000273, -0.000108, 1.157360, - 0.525324, -0.000010, 0.498153, 0.000011, 0.526513, -0.000252, 0.499277, 0.000265, - 0.526517, -0.001006, 0.499282, 0.001061, 0.526588, -0.002265, 0.499337, 0.002388, - 0.526539, -0.004026, 0.499302, 0.004245, 0.526547, -0.006290, 0.499306, 0.006634, - 0.526561, -0.009056, 0.499313, 0.009553, 0.526593, -0.012325, 0.499334, 0.013005, - 0.526642, -0.016096, 0.499365, 0.016991, 0.526700, -0.020366, 0.499396, 0.021512, - 0.526792, -0.025135, 0.499451, 0.026572, 0.526904, -0.030398, 0.499511, 0.032173, - 0.527079, -0.036155, 0.499617, 0.038323, 0.527285, -0.042398, 0.499731, 0.045026, - 0.527602, -0.049112, 0.499924, 0.052294, 0.528166, -0.056113, 0.500306, 0.060153, - 0.528790, -0.063599, 0.500700, 0.068606, 0.529421, -0.071581, 0.501048, 0.077652, - 0.530144, -0.079985, 0.501421, 0.087315, 0.531062, -0.088803, 0.501884, 0.097608, - 0.532374, -0.097764, 0.502590, 0.108588, 0.533828, -0.107197, 0.503290, 0.120234, - 0.535810, -0.116887, 0.504312, 0.132602, 0.538063, -0.126755, 0.505365, 0.145721, - 0.540900, -0.136819, 0.506668, 0.159617, 0.544882, -0.147117, 0.508731, 0.174369, - 0.550238, -0.157446, 0.511601, 0.190028, 0.556038, -0.167988, 0.514431, 0.206587, - 0.563031, -0.178364, 0.517808, 0.224046, 0.571543, -0.189007, 0.521937, 0.242503, - 0.582255, -0.199546, 0.527415, 0.261977, 0.592720, -0.210084, 0.531682, 0.282162, - 0.605648, -0.220448, 0.537123, 0.303426, 0.617850, -0.230593, 0.540664, 0.325323, - 0.632223, -0.240238, 0.544467, 0.348993, 0.648819, -0.248870, 0.547594, 0.375462, - 0.665825, -0.256657, 0.549120, 0.403024, 0.683389, -0.263711, 0.549294, 0.431773, - 0.701495, -0.269666, 0.547649, 0.461494, 0.719197, -0.274169, 0.543786, 0.491623, - 0.737906, -0.278124, 0.538644, 0.522994, 0.756652, -0.280632, 0.531057, 0.554775, - 0.775279, -0.281741, 0.521972, 0.586441, 0.792688, -0.281652, 0.509613, 0.618596, - 0.811894, -0.280345, 0.496497, 0.651462, 0.827938, -0.277128, 0.479680, 0.684023, - 0.844837, -0.271646, 0.460688, 0.718024, 0.859239, -0.264397, 0.438872, 0.751207, - 0.874088, -0.256144, 0.415770, 0.784232, 0.887693, -0.246311, 0.391369, 0.816191, - 0.899402, -0.235497, 0.365872, 0.847828, 0.910973, -0.223631, 0.338618, 0.879340, - 0.922040, -0.209874, 0.310803, 0.910325, 0.930987, -0.194265, 0.281802, 0.940695, - 0.940000, -0.178125, 0.252836, 0.970958, 0.948018, -0.161479, 0.224239, 1.000780, - 0.955141, -0.144038, 0.195857, 1.028800, 0.960513, -0.124915, 0.168487, 1.053710, - 0.963964, -0.104284, 0.141495, 1.075960, 0.968713, -0.083873, 0.114437, 1.096280, - 0.975524, -0.063558, 0.086310, 1.114480, 0.984310, -0.042291, 0.057477, 1.130690, - 0.992916, -0.020913, 0.028434, 1.145680, 0.999926, 0.000743, -0.000379, 1.159550, - 0.501042, -0.000010, 0.498726, 0.000010, 0.502992, -0.000252, 0.500665, 0.000253, - 0.502417, -0.001008, 0.500092, 0.001013, 0.502965, -0.002269, 0.500621, 0.002280, - 0.502318, -0.004031, 0.499994, 0.004050, 0.502333, -0.006298, 0.500005, 0.006329, - 0.502362, -0.009069, 0.500027, 0.009114, 0.502369, -0.012342, 0.500023, 0.012408, - 0.502430, -0.016118, 0.500066, 0.016211, 0.502493, -0.020394, 0.500103, 0.020526, - 0.502592, -0.025168, 0.500166, 0.025355, 0.502707, -0.030439, 0.500230, 0.030703, - 0.502881, -0.036201, 0.500335, 0.036575, 0.503124, -0.042451, 0.500488, 0.042980, - 0.503443, -0.049158, 0.500686, 0.049927, 0.504083, -0.056148, 0.501155, 0.057454, - 0.504668, -0.063685, 0.501524, 0.065541, 0.505319, -0.071683, 0.501904, 0.074207, - 0.506090, -0.080092, 0.502321, 0.083470, 0.507122, -0.088843, 0.502896, 0.093360, - 0.508414, -0.097855, 0.503603, 0.103910, 0.509955, -0.107304, 0.504416, 0.115113, - 0.512061, -0.116921, 0.505565, 0.127054, 0.514419, -0.126890, 0.506732, 0.139709, - 0.517529, -0.136934, 0.508338, 0.153173, 0.522085, -0.147327, 0.510987, 0.167528, - 0.526986, -0.157612, 0.513527, 0.182708, 0.533122, -0.168213, 0.516717, 0.198881, - 0.540807, -0.178688, 0.520832, 0.215986, 0.550687, -0.189511, 0.526320, 0.234335, - 0.560567, -0.199998, 0.531009, 0.253375, 0.571698, -0.210652, 0.535839, 0.273499, - 0.584364, -0.220917, 0.541091, 0.294355, 0.599066, -0.231370, 0.546875, 0.316525, - 0.614148, -0.241206, 0.551306, 0.339671, 0.631157, -0.250379, 0.555187, 0.365310, - 0.647919, -0.258397, 0.556595, 0.392767, 0.666112, -0.265528, 0.556949, 0.421397, - 0.686158, -0.271827, 0.556617, 0.451433, 0.704838, -0.276740, 0.552975, 0.482131, - 0.723957, -0.280733, 0.547814, 0.513458, 0.742620, -0.283359, 0.539970, 0.545446, - 0.762009, -0.284541, 0.530422, 0.577750, 0.781314, -0.284507, 0.518546, 0.610434, - 0.799116, -0.283309, 0.504178, 0.643178, 0.817604, -0.280378, 0.488430, 0.676248, - 0.834590, -0.275619, 0.469457, 0.709698, 0.850974, -0.268560, 0.447698, 0.744245, - 0.866747, -0.260094, 0.424791, 0.777695, 0.881412, -0.249929, 0.399913, 0.810392, - 0.893600, -0.239137, 0.373080, 0.842872, 0.905943, -0.226818, 0.345705, 0.874677, - 0.916408, -0.213699, 0.317060, 0.906257, 0.927215, -0.198428, 0.288444, 0.936881, - 0.935625, -0.181643, 0.258329, 0.967950, 0.944076, -0.164386, 0.228488, 0.998216, - 0.951229, -0.146339, 0.199763, 1.026890, 0.958793, -0.127709, 0.172153, 1.053500, - 0.963219, -0.107244, 0.144989, 1.076460, 0.967562, -0.085776, 0.116850, 1.096750, - 0.974866, -0.064538, 0.088057, 1.115760, 0.983353, -0.043173, 0.058735, 1.132270, - 0.992503, -0.021836, 0.029418, 1.147800, 1.000030, 0.000605, -0.000231, 1.162070, - 0.482935, -0.000010, 0.504695, 0.000010, 0.477554, -0.000252, 0.499071, 0.000241, - 0.477904, -0.001007, 0.499436, 0.000963, 0.478368, -0.002266, 0.499899, 0.002169, - 0.477977, -0.004027, 0.499513, 0.003854, 0.477993, -0.006292, 0.499525, 0.006022, - 0.478011, -0.009060, 0.499536, 0.008673, 0.478051, -0.012330, 0.499566, 0.011807, - 0.478089, -0.016102, 0.499587, 0.015427, 0.478171, -0.020374, 0.499645, 0.019534, - 0.478254, -0.025143, 0.499692, 0.024132, 0.478390, -0.030407, 0.499779, 0.029225, - 0.478588, -0.036163, 0.499911, 0.034820, 0.478812, -0.042402, 0.500046, 0.040923, - 0.479208, -0.049072, 0.500326, 0.047552, 0.479841, -0.056072, 0.500805, 0.054738, - 0.480392, -0.063613, 0.501152, 0.062461, 0.481068, -0.071613, 0.501561, 0.070747, - 0.481898, -0.080006, 0.502054, 0.079612, 0.483022, -0.088657, 0.502728, 0.089097, - 0.484332, -0.097755, 0.503479, 0.099210, 0.486126, -0.107173, 0.504546, 0.109990, - 0.488066, -0.116770, 0.505570, 0.121476, 0.490521, -0.126725, 0.506849, 0.133672, - 0.494232, -0.136793, 0.509110, 0.146731, 0.498302, -0.147116, 0.511345, 0.160577, - 0.503565, -0.157446, 0.514344, 0.175335, 0.510902, -0.168121, 0.518824, 0.191207, - 0.519263, -0.178799, 0.523666, 0.208058, 0.528204, -0.189407, 0.528296, 0.225875, - 0.538854, -0.200145, 0.533724, 0.244782, 0.551278, -0.210701, 0.539833, 0.264753, - 0.565222, -0.221303, 0.546131, 0.285745, 0.579403, -0.231688, 0.551496, 0.307592, - 0.595469, -0.241718, 0.556809, 0.330582, 0.610929, -0.250992, 0.559641, 0.354995, - 0.629433, -0.259602, 0.562379, 0.382471, 0.648504, -0.267038, 0.563676, 0.411126, - 0.667560, -0.273388, 0.562092, 0.440924, 0.689143, -0.278788, 0.560807, 0.472118, - 0.709056, -0.282783, 0.555701, 0.503774, 0.729855, -0.285836, 0.548698, 0.536364, - 0.748954, -0.287078, 0.538544, 0.568950, 0.768373, -0.287133, 0.526711, 0.601991, - 0.788270, -0.285839, 0.512511, 0.635403, 0.807465, -0.283238, 0.496323, 0.668797, - 0.825194, -0.279060, 0.477638, 0.702584, 0.842203, -0.272286, 0.456253, 0.736393, - 0.857749, -0.263854, 0.432412, 0.770960, 0.874799, -0.253943, 0.407806, 0.804890, - 0.887497, -0.242370, 0.380330, 0.837710, 0.899660, -0.230278, 0.352446, 0.870376, - 0.911753, -0.216460, 0.323268, 0.902256, 0.923011, -0.202071, 0.294314, 0.933306, - 0.932375, -0.185519, 0.264104, 0.965177, 0.940537, -0.167604, 0.234035, 0.996303, - 0.948904, -0.149068, 0.204120, 1.026100, 0.955263, -0.129539, 0.175431, 1.053040, - 0.960303, -0.109932, 0.148116, 1.076170, 0.965512, -0.088057, 0.119693, 1.097420, - 0.973466, -0.066055, 0.090162, 1.117210, 0.982840, -0.043923, 0.059987, 1.134360, - 0.992216, -0.021959, 0.029898, 1.150060, 0.999946, 0.000119, -0.000021, 1.164710, - 0.447827, -0.000010, 0.491543, 0.000009, 0.454778, -0.000251, 0.499172, 0.000229, - 0.453519, -0.001003, 0.497787, 0.000914, 0.453570, -0.002258, 0.497847, 0.002057, - 0.453578, -0.004014, 0.497855, 0.003657, 0.453570, -0.006271, 0.497841, 0.005715, - 0.453598, -0.009030, 0.497864, 0.008230, 0.453627, -0.012289, 0.497882, 0.011205, - 0.453684, -0.016047, 0.497923, 0.014641, 0.453764, -0.020304, 0.497980, 0.018539, - 0.453866, -0.025058, 0.498049, 0.022905, 0.453996, -0.030303, 0.498130, 0.027742, - 0.454196, -0.036038, 0.498267, 0.033059, 0.454457, -0.042252, 0.498445, 0.038861, - 0.454926, -0.048839, 0.498812, 0.045177, 0.455525, -0.055865, 0.499272, 0.052015, - 0.456074, -0.063377, 0.499625, 0.059375, 0.456752, -0.071361, 0.500049, 0.067275, - 0.457648, -0.079710, 0.500615, 0.075745, 0.458849, -0.088303, 0.501399, 0.084823, - 0.460290, -0.097409, 0.502293, 0.094514, 0.462000, -0.106729, 0.503301, 0.104848, - 0.464121, -0.116354, 0.504533, 0.115884, 0.466889, -0.126214, 0.506172, 0.127652, - 0.470744, -0.136324, 0.508667, 0.140240, 0.474880, -0.146595, 0.510995, 0.153673, - 0.480845, -0.157027, 0.514832, 0.168053, 0.488262, -0.167658, 0.519506, 0.183508, - 0.496547, -0.178343, 0.524347, 0.199948, 0.506254, -0.188916, 0.529830, 0.217503, - 0.517961, -0.199975, 0.536357, 0.236272, 0.531484, -0.210624, 0.543641, 0.256096, - 0.545496, -0.221227, 0.550048, 0.277085, 0.559497, -0.231568, 0.555076, 0.298615, - 0.575752, -0.241698, 0.560541, 0.321547, 0.591999, -0.251172, 0.564156, 0.345602, - 0.610654, -0.260178, 0.567607, 0.371851, 0.630484, -0.268094, 0.569230, 0.400760, - 0.651807, -0.274661, 0.569779, 0.430801, 0.672390, -0.280331, 0.566791, 0.461939, - 0.693024, -0.284501, 0.562007, 0.493854, 0.715473, -0.287852, 0.555791, 0.526992, - 0.736323, -0.289290, 0.546345, 0.560102, 0.755771, -0.289405, 0.534000, 0.593543, - 0.775424, -0.288100, 0.519114, 0.627256, 0.795447, -0.285562, 0.502543, 0.661464, - 0.815319, -0.281416, 0.484773, 0.695206, 0.831769, -0.275523, 0.463445, 0.729044, - 0.849464, -0.267516, 0.440269, 0.764069, 0.866775, -0.257584, 0.415049, 0.799089, - 0.881252, -0.245817, 0.388049, 0.831948, 0.894209, -0.233127, 0.358890, 0.865526, - 0.906922, -0.219579, 0.329915, 0.898180, 0.919686, -0.204491, 0.300441, 0.930013, - 0.929044, -0.188962, 0.269445, 0.962061, 0.938393, -0.171079, 0.238402, 0.994214, - 0.946610, -0.151990, 0.208204, 1.025330, 0.953095, -0.131953, 0.178653, 1.052900, - 0.958644, -0.111233, 0.150684, 1.077100, 0.963925, -0.090310, 0.122359, 1.098550, - 0.971995, -0.068050, 0.092334, 1.118740, 0.981658, -0.044851, 0.061420, 1.136350, - 0.991649, -0.022193, 0.030358, 1.152380, 0.999985, 0.000393, -0.000111, 1.167720, - 0.396806, -0.000010, 0.457671, 0.000008, 0.429186, -0.000249, 0.495017, 0.000216, - 0.429324, -0.000998, 0.495173, 0.000865, 0.429175, -0.002245, 0.494999, 0.001946, - 0.429129, -0.003990, 0.494952, 0.003460, 0.429153, -0.006235, 0.494974, 0.005407, - 0.429168, -0.008977, 0.494983, 0.007787, 0.429207, -0.012217, 0.495012, 0.010602, - 0.429257, -0.015954, 0.495047, 0.013853, 0.429338, -0.020186, 0.495106, 0.017544, - 0.429431, -0.024910, 0.495165, 0.021677, 0.429587, -0.030125, 0.495279, 0.026259, - 0.429796, -0.035825, 0.495432, 0.031297, 0.430065, -0.041997, 0.495621, 0.036798, - 0.430588, -0.048514, 0.496061, 0.042798, 0.431130, -0.055503, 0.496472, 0.049291, - 0.431743, -0.062985, 0.496904, 0.056291, 0.432448, -0.070926, 0.497369, 0.063806, - 0.433414, -0.079194, 0.498032, 0.071885, 0.434638, -0.087735, 0.498854, 0.080552, - 0.436110, -0.096806, 0.499812, 0.089805, 0.437859, -0.106002, 0.500891, 0.099714, - 0.440017, -0.115648, 0.502198, 0.110289, 0.443236, -0.125427, 0.504389, 0.121644, - 0.446970, -0.135492, 0.506809, 0.133769, 0.451689, -0.145746, 0.509858, 0.146787, - 0.458110, -0.156219, 0.514247, 0.160793, 0.465305, -0.166834, 0.518816, 0.175791, - 0.474085, -0.177546, 0.524331, 0.191906, 0.484808, -0.188262, 0.531040, 0.209199, - 0.497320, -0.199346, 0.538511, 0.227825, 0.509693, -0.209951, 0.544554, 0.247269, - 0.524367, -0.220533, 0.551616, 0.267978, 0.539228, -0.231082, 0.557368, 0.289672, - 0.556440, -0.241342, 0.563782, 0.312680, 0.574204, -0.250964, 0.568851, 0.336510, - 0.593388, -0.260306, 0.573120, 0.362219, 0.613358, -0.268667, 0.574916, 0.390322, - 0.634512, -0.275591, 0.575053, 0.420478, 0.655630, -0.281328, 0.572404, 0.451614, - 0.678265, -0.285948, 0.568893, 0.484112, 0.700110, -0.289408, 0.561878, 0.517348, - 0.723005, -0.291328, 0.553590, 0.551355, 0.743744, -0.291418, 0.541099, 0.585109, - 0.763949, -0.290252, 0.526489, 0.619487, 0.784186, -0.287648, 0.509496, 0.654040, - 0.804304, -0.283782, 0.491484, 0.688649, 0.823629, -0.278067, 0.470517, 0.723133, - 0.840940, -0.270588, 0.447050, 0.757163, 0.857852, -0.261188, 0.421252, 0.792816, - 0.874934, -0.249313, 0.394191, 0.827248, 0.888709, -0.236492, 0.365359, 0.861074, - 0.902589, -0.222185, 0.336016, 0.894417, 0.914201, -0.207314, 0.305270, 0.926825, - 0.925978, -0.191146, 0.274532, 0.959500, 0.935120, -0.174135, 0.243393, 0.991583, - 0.943656, -0.155231, 0.212414, 1.023560, 0.951719, -0.134403, 0.182005, 1.052390, - 0.957164, -0.113023, 0.153043, 1.077540, 0.962656, -0.091449, 0.124186, 1.099840, - 0.970695, -0.069418, 0.094165, 1.120000, 0.980749, -0.046620, 0.062967, 1.138490, - 0.991205, -0.022703, 0.031115, 1.154940, 0.999884, 0.000632, -0.000254, 1.170600, - 0.379821, -0.000010, 0.460637, 0.000008, 0.405188, -0.000247, 0.491396, 0.000204, - 0.404796, -0.000989, 0.490914, 0.000816, 0.404830, -0.002226, 0.490949, 0.001836, - 0.404730, -0.003957, 0.490840, 0.003263, 0.404731, -0.006183, 0.490836, 0.005099, - 0.404768, -0.008903, 0.490871, 0.007345, 0.404791, -0.012116, 0.490883, 0.010000, - 0.404857, -0.015821, 0.490938, 0.013068, 0.404943, -0.020018, 0.491004, 0.016550, - 0.405059, -0.024703, 0.491093, 0.020452, 0.405213, -0.029873, 0.491205, 0.024779, - 0.405399, -0.035523, 0.491333, 0.029537, 0.405731, -0.041635, 0.491604, 0.034741, - 0.406303, -0.048081, 0.492116, 0.040426, 0.406814, -0.055046, 0.492506, 0.046573, - 0.407404, -0.062465, 0.492926, 0.053206, 0.408149, -0.070296, 0.493442, 0.060344, - 0.409128, -0.078462, 0.494136, 0.068030, 0.410408, -0.087007, 0.495054, 0.076279, - 0.411813, -0.095964, 0.495962, 0.085105, 0.413735, -0.105075, 0.497257, 0.094588, - 0.416137, -0.114646, 0.498882, 0.104725, 0.419340, -0.124394, 0.501132, 0.115630, - 0.423326, -0.134328, 0.503883, 0.127325, 0.428419, -0.144580, 0.507470, 0.139911, - 0.434840, -0.154979, 0.511964, 0.153481, 0.442641, -0.165628, 0.517328, 0.168114, - 0.452511, -0.176365, 0.524258, 0.183995, 0.463473, -0.187298, 0.531248, 0.200953, - 0.475564, -0.198244, 0.538367, 0.219176, 0.488664, -0.208938, 0.545175, 0.238514, - 0.504073, -0.219599, 0.553227, 0.259129, 0.520832, -0.230378, 0.560653, 0.280997, - 0.538455, -0.240703, 0.567523, 0.303821, 0.557090, -0.250548, 0.573287, 0.327948, - 0.576646, -0.259964, 0.577795, 0.353362, 0.596705, -0.268721, 0.580077, 0.380336, - 0.618053, -0.276054, 0.580180, 0.410100, 0.640303, -0.282176, 0.578747, 0.441610, - 0.662365, -0.286931, 0.574294, 0.474106, 0.684542, -0.290521, 0.567035, 0.507549, - 0.707984, -0.292672, 0.558687, 0.541853, 0.730913, -0.293189, 0.547606, 0.576581, - 0.752948, -0.292199, 0.533471, 0.611720, 0.773452, -0.289508, 0.516395, 0.646339, - 0.794715, -0.285716, 0.497873, 0.682131, 0.814251, -0.280051, 0.476845, 0.716396, - 0.833057, -0.272873, 0.453449, 0.751503, 0.849590, -0.263982, 0.427857, 0.786085, - 0.867022, -0.252745, 0.400335, 0.821355, 0.882277, -0.239655, 0.371304, 0.856460, - 0.895375, -0.225386, 0.340397, 0.890828, 0.909347, -0.209587, 0.310005, 0.923532, - 0.921885, -0.193433, 0.279600, 0.956419, 0.932127, -0.176135, 0.247276, 0.989445, - 0.941869, -0.157872, 0.216186, 1.022210, 0.949735, -0.137577, 0.185602, 1.051950, - 0.956617, -0.115285, 0.155767, 1.078220, 0.961974, -0.092842, 0.126103, 1.101490, - 0.969720, -0.070059, 0.095676, 1.122070, 0.980120, -0.047467, 0.064327, 1.140800, - 0.990825, -0.023811, 0.032086, 1.157700, 0.999876, 0.000382, -0.000081, 1.174030, - 0.367636, -0.000010, 0.469176, 0.000008, 0.380377, -0.000245, 0.485434, 0.000192, - 0.380416, -0.000979, 0.485475, 0.000767, 0.380376, -0.002202, 0.485435, 0.001725, - 0.380419, -0.003914, 0.485487, 0.003067, 0.380438, -0.006115, 0.485505, 0.004793, - 0.380462, -0.008806, 0.485525, 0.006904, 0.380496, -0.011984, 0.485551, 0.009400, - 0.380560, -0.015649, 0.485605, 0.012285, 0.380640, -0.019799, 0.485666, 0.015560, - 0.380767, -0.024432, 0.485770, 0.019231, 0.380909, -0.029544, 0.485871, 0.023303, - 0.381142, -0.035132, 0.486060, 0.027786, 0.381472, -0.041154, 0.486336, 0.032694, - 0.382015, -0.047541, 0.486833, 0.038057, 0.382523, -0.054440, 0.487231, 0.043861, - 0.383129, -0.061784, 0.487683, 0.050133, 0.383952, -0.069509, 0.488313, 0.056900, - 0.384980, -0.077582, 0.489077, 0.064195, 0.386331, -0.086044, 0.490113, 0.072032, - 0.387788, -0.094841, 0.491099, 0.080438, 0.389808, -0.103899, 0.492566, 0.089490, - 0.392520, -0.113313, 0.494601, 0.099210, 0.395493, -0.123007, 0.496619, 0.109641, - 0.399826, -0.132859, 0.499912, 0.120919, 0.405341, -0.143077, 0.504061, 0.133107, - 0.411932, -0.153465, 0.508905, 0.146263, 0.420591, -0.164108, 0.515482, 0.160544, - 0.431010, -0.174893, 0.523191, 0.176123, 0.441881, -0.185839, 0.530260, 0.192757, - 0.453919, -0.196633, 0.537295, 0.210535, 0.468715, -0.207611, 0.546156, 0.229886, - 0.485182, -0.218517, 0.555173, 0.250543, 0.501926, -0.229249, 0.562728, 0.272210, - 0.517850, -0.239481, 0.567494, 0.294892, 0.536947, -0.249395, 0.573889, 0.318987, - 0.557115, -0.259000, 0.578831, 0.344348, 0.577966, -0.268075, 0.582055, 0.371223, - 0.599489, -0.276115, 0.583307, 0.399834, 0.624790, -0.282523, 0.583902, 0.431415, - 0.647504, -0.287663, 0.579530, 0.464301, 0.670601, -0.291538, 0.573103, 0.498123, - 0.693539, -0.293842, 0.563731, 0.532662, 0.717385, -0.294681, 0.553169, 0.567925, - 0.741533, -0.293717, 0.539908, 0.603502, 0.762142, -0.291156, 0.521902, 0.639074, - 0.783014, -0.287190, 0.502815, 0.674439, 0.805158, -0.281773, 0.482598, 0.710497, - 0.823646, -0.274682, 0.458949, 0.745600, 0.841879, -0.266184, 0.433129, 0.781085, - 0.859515, -0.255682, 0.406064, 0.816000, 0.875335, -0.242849, 0.376509, 0.851074, - 0.890147, -0.228329, 0.345502, 0.886473, 0.903144, -0.212491, 0.314280, 0.920751, - 0.916618, -0.195695, 0.282994, 0.954606, 0.927953, -0.178267, 0.251091, 0.988402, - 0.937414, -0.159549, 0.219107, 1.021410, 0.946823, -0.140022, 0.188960, 1.051670, - 0.954651, -0.118154, 0.158667, 1.078190, 0.959955, -0.094664, 0.128808, 1.102500, - 0.968580, -0.071179, 0.097379, 1.123910, 0.979380, -0.047505, 0.065097, 1.143220, - 0.990498, -0.024059, 0.032627, 1.160770, 0.999844, -0.000051, 0.000112, 1.177270, - 0.316912, -0.000009, 0.425996, 0.000007, 0.356423, -0.000241, 0.479108, 0.000180, - 0.356272, -0.000965, 0.478897, 0.000718, 0.356262, -0.002172, 0.478894, 0.001616, - 0.356265, -0.003861, 0.478895, 0.002873, 0.356278, -0.006032, 0.478905, 0.004489, - 0.356293, -0.008686, 0.478914, 0.006466, 0.356346, -0.011821, 0.478965, 0.008804, - 0.356395, -0.015435, 0.479001, 0.011507, 0.356484, -0.019529, 0.479075, 0.014576, - 0.356609, -0.024099, 0.479180, 0.018018, 0.356766, -0.029141, 0.479305, 0.021838, - 0.357009, -0.034650, 0.479512, 0.026045, 0.357424, -0.040546, 0.479909, 0.030666, - 0.357899, -0.046883, 0.480337, 0.035705, 0.358424, -0.053689, 0.480771, 0.041173, - 0.359041, -0.060942, 0.481242, 0.047084, 0.359903, -0.068524, 0.481943, 0.053483, - 0.360932, -0.076488, 0.482741, 0.060380, 0.362196, -0.084836, 0.483688, 0.067803, - 0.363847, -0.093500, 0.484947, 0.075809, 0.365972, -0.102471, 0.486588, 0.084417, - 0.368741, -0.111751, 0.488787, 0.093720, 0.372146, -0.121334, 0.491405, 0.103732, - 0.377114, -0.131147, 0.495604, 0.114608, 0.382260, -0.141213, 0.499436, 0.126345, - 0.389609, -0.151632, 0.505334, 0.139116, 0.397925, -0.162073, 0.511680, 0.152995, - 0.407824, -0.172819, 0.518876, 0.168071, 0.420014, -0.183929, 0.527639, 0.184495, - 0.434266, -0.195032, 0.537588, 0.202320, 0.447352, -0.205792, 0.544379, 0.221189, - 0.463726, -0.216704, 0.553422, 0.241616, 0.481406, -0.227531, 0.562074, 0.263298, - 0.498707, -0.238017, 0.568227, 0.286116, 0.518039, -0.247936, 0.574473, 0.310100, - 0.538277, -0.257437, 0.579191, 0.335401, 0.561166, -0.266829, 0.584807, 0.362246, - 0.583189, -0.275329, 0.586476, 0.390609, 0.606024, -0.282340, 0.585578, 0.420998, - 0.632419, -0.287924, 0.584496, 0.454357, 0.656128, -0.291972, 0.577766, 0.488233, - 0.679953, -0.294560, 0.568750, 0.523248, 0.704654, -0.295816, 0.558388, 0.559168, - 0.729016, -0.295157, 0.544826, 0.595326, 0.752062, -0.292779, 0.528273, 0.631864, - 0.773138, -0.288681, 0.508482, 0.667793, 0.794869, -0.283358, 0.487341, 0.704035, - 0.815101, -0.276080, 0.463540, 0.739925, 0.834212, -0.267670, 0.438672, 0.775539, - 0.852368, -0.257397, 0.411239, 0.810895, 0.870207, -0.245689, 0.382900, 0.846472, - 0.884063, -0.231452, 0.351496, 0.881788, 0.898284, -0.215561, 0.318950, 0.917438, - 0.912964, -0.198208, 0.287367, 0.952422, 0.924666, -0.180426, 0.254487, 0.987551, - 0.934429, -0.161525, 0.222226, 1.021420, 0.943485, -0.141197, 0.191143, 1.052180, - 0.952100, -0.120085, 0.161112, 1.079370, 0.957876, -0.097588, 0.130982, 1.104030, - 0.966943, -0.072684, 0.099055, 1.126160, 0.978313, -0.048370, 0.066282, 1.146190, - 0.990048, -0.023907, 0.032924, 1.164130, 0.999984, 0.000462, -0.000077, 1.180990, - 0.321287, -0.000009, 0.455413, 0.000007, 0.332595, -0.000238, 0.471437, 0.000168, - 0.332729, -0.000950, 0.471618, 0.000670, 0.332305, -0.002136, 0.471028, 0.001507, - 0.332326, -0.003798, 0.471055, 0.002680, 0.332344, -0.005934, 0.471072, 0.004188, - 0.332356, -0.008543, 0.471077, 0.006032, 0.332403, -0.011627, 0.471121, 0.008214, - 0.332461, -0.015182, 0.471170, 0.010736, 0.332552, -0.019209, 0.471251, 0.013601, - 0.332657, -0.023702, 0.471330, 0.016815, 0.332835, -0.028661, 0.471487, 0.020385, - 0.333083, -0.034077, 0.471708, 0.024321, 0.333547, -0.039856, 0.472190, 0.028652, - 0.333989, -0.046092, 0.472587, 0.033376, 0.334532, -0.052790, 0.473054, 0.038508, - 0.335167, -0.059928, 0.473568, 0.044064, 0.336080, -0.067351, 0.474362, 0.050096, - 0.337146, -0.075224, 0.475231, 0.056602, 0.338462, -0.083418, 0.476282, 0.063627, - 0.340140, -0.091938, 0.477615, 0.071215, 0.342341, -0.100741, 0.479404, 0.079417, - 0.345088, -0.109905, 0.481618, 0.088263, 0.349049, -0.119369, 0.485081, 0.097885, - 0.353939, -0.129033, 0.489317, 0.108336, 0.359893, -0.139038, 0.494309, 0.119698, - 0.366945, -0.149411, 0.499983, 0.132024, 0.375814, -0.159843, 0.507185, 0.145558, - 0.387112, -0.170664, 0.516392, 0.160433, 0.400230, -0.181897, 0.526519, 0.176648, - 0.412555, -0.192785, 0.534230, 0.193922, 0.427023, -0.203663, 0.542741, 0.212662, - 0.443685, -0.214695, 0.552066, 0.232944, 0.461499, -0.225561, 0.560762, 0.254495, - 0.480975, -0.236257, 0.569421, 0.277531, 0.501000, -0.246390, 0.576101, 0.301724, - 0.521691, -0.256101, 0.581493, 0.327112, 0.543478, -0.265289, 0.585221, 0.353917, - 0.566094, -0.273938, 0.587614, 0.381941, 0.589578, -0.281679, 0.587991, 0.411720, - 0.614583, -0.287655, 0.585928, 0.444148, 0.641813, -0.292228, 0.582092, 0.478617, - 0.666189, -0.295172, 0.573980, 0.513970, 0.690475, -0.296480, 0.561676, 0.550118, - 0.715543, -0.296203, 0.548758, 0.586933, 0.740405, -0.293999, 0.532792, 0.623840, - 0.762183, -0.289980, 0.512735, 0.660723, 0.786069, -0.284780, 0.492402, 0.698070, - 0.806812, -0.277568, 0.469058, 0.734422, 0.826987, -0.268951, 0.443017, 0.770946, - 0.844588, -0.259049, 0.415501, 0.806990, 0.863725, -0.247100, 0.387328, 0.842107, - 0.879137, -0.234157, 0.356108, 0.878078, 0.894634, -0.218719, 0.324315, 0.914058, - 0.909162, -0.201293, 0.291813, 0.949922, 0.920720, -0.182670, 0.258474, 0.985337, - 0.931580, -0.163212, 0.225593, 1.020500, 0.941238, -0.142771, 0.193986, 1.052730, - 0.949293, -0.120956, 0.163392, 1.080750, 0.956226, -0.098574, 0.132934, 1.105590, - 0.965460, -0.075118, 0.101255, 1.128230, 0.977403, -0.049792, 0.067544, 1.149000, - 0.989648, -0.024157, 0.033468, 1.167650, 1.000010, 0.000576, -0.000185, 1.185190, - 0.303474, -0.000009, 0.454200, 0.000006, 0.308894, -0.000233, 0.462306, 0.000156, - 0.309426, -0.000932, 0.463093, 0.000622, 0.308643, -0.002095, 0.461933, 0.001400, - 0.308651, -0.003724, 0.461941, 0.002489, 0.308662, -0.005819, 0.461950, 0.003889, - 0.308687, -0.008378, 0.461974, 0.005602, 0.308728, -0.011402, 0.462011, 0.007629, - 0.308789, -0.014888, 0.462067, 0.009973, 0.308882, -0.018837, 0.462151, 0.012637, - 0.309007, -0.023244, 0.462263, 0.015627, 0.309180, -0.028105, 0.462417, 0.018950, - 0.309442, -0.033406, 0.462667, 0.022617, 0.309901, -0.039059, 0.463162, 0.026661, - 0.310331, -0.045204, 0.463555, 0.031071, 0.310858, -0.051774, 0.464019, 0.035870, - 0.311576, -0.058736, 0.464669, 0.041085, 0.312436, -0.066038, 0.465406, 0.046745, - 0.313526, -0.073727, 0.466339, 0.052872, 0.314903, -0.081757, 0.467504, 0.059504, - 0.316814, -0.090167, 0.469226, 0.066689, 0.318965, -0.098755, 0.470981, 0.074466, - 0.322077, -0.107792, 0.473814, 0.082912, 0.325947, -0.117098, 0.477241, 0.092085, - 0.331008, -0.126602, 0.481840, 0.102137, 0.337893, -0.136619, 0.488334, 0.113135, - 0.345106, -0.146838, 0.494415, 0.125110, 0.355111, -0.157357, 0.503275, 0.138356, - 0.365095, -0.167955, 0.510966, 0.152686, 0.378344, -0.179157, 0.521508, 0.168560, - 0.391599, -0.190143, 0.530455, 0.185610, 0.407786, -0.201230, 0.541275, 0.204308, - 0.425294, -0.212456, 0.551784, 0.224623, 0.444021, -0.223568, 0.561493, 0.246172, - 0.463418, -0.234154, 0.569886, 0.268979, 0.484077, -0.244546, 0.577116, 0.293411, - 0.505513, -0.254301, 0.582914, 0.318936, 0.527672, -0.263564, 0.587208, 0.345856, - 0.550565, -0.272332, 0.589277, 0.374054, 0.573656, -0.280011, 0.588426, 0.403276, - 0.598270, -0.286924, 0.587504, 0.434740, 0.624731, -0.291994, 0.583401, 0.468767, - 0.652396, -0.295159, 0.576997, 0.504411, 0.677320, -0.296954, 0.565863, 0.541140, - 0.703147, -0.296877, 0.552316, 0.578160, 0.728715, -0.295147, 0.536773, 0.616124, - 0.752448, -0.291275, 0.517710, 0.653885, 0.775169, -0.285905, 0.496087, 0.691537, - 0.799307, -0.279064, 0.474232, 0.729251, 0.819482, -0.270294, 0.447676, 0.766267, - 0.837659, -0.260032, 0.419656, 0.802616, 0.856903, -0.248497, 0.391328, 0.838583, - 0.873325, -0.235252, 0.360285, 0.874711, 0.889788, -0.221126, 0.329215, 0.910770, - 0.904486, -0.204304, 0.296392, 0.946530, 0.917711, -0.185562, 0.262159, 0.983828, - 0.928969, -0.165635, 0.229142, 1.019550, 0.939707, -0.144420, 0.196730, 1.053170, - 0.948167, -0.122147, 0.165095, 1.082300, 0.955222, -0.099098, 0.134510, 1.107910, - 0.964401, -0.075533, 0.102476, 1.131200, 0.976605, -0.051382, 0.068967, 1.152180, - 0.989085, -0.025850, 0.034506, 1.171290, 0.999908, 0.000618, -0.000271, 1.189610, - 0.285803, -0.000009, 0.452348, 0.000006, 0.284689, -0.000227, 0.450581, 0.000144, - 0.285263, -0.000910, 0.451482, 0.000575, 0.285302, -0.002048, 0.451553, 0.001294, - 0.285318, -0.003641, 0.451574, 0.002301, 0.285330, -0.005688, 0.451585, 0.003595, - 0.285361, -0.008190, 0.451618, 0.005179, 0.285397, -0.011146, 0.451650, 0.007054, - 0.285447, -0.014554, 0.451688, 0.009222, 0.285527, -0.018413, 0.451758, 0.011687, - 0.285688, -0.022721, 0.451929, 0.014455, 0.285840, -0.027471, 0.452055, 0.017534, - 0.286136, -0.032628, 0.452369, 0.020941, 0.286574, -0.038179, 0.452853, 0.024696, - 0.287012, -0.044188, 0.453272, 0.028800, 0.287542, -0.050610, 0.453752, 0.033268, - 0.288299, -0.057363, 0.454488, 0.038150, 0.289186, -0.064546, 0.455294, 0.043445, - 0.290302, -0.072040, 0.456301, 0.049197, 0.291776, -0.079905, 0.457648, 0.055445, - 0.293720, -0.088117, 0.459483, 0.062231, 0.296052, -0.096533, 0.461571, 0.069599, - 0.299563, -0.105409, 0.465085, 0.077658, 0.303350, -0.114553, 0.468506, 0.086418, - 0.309167, -0.123917, 0.474423, 0.096108, 0.315290, -0.133810, 0.479950, 0.106643, - 0.324163, -0.144021, 0.488592, 0.118322, 0.333272, -0.154382, 0.496461, 0.131133, - 0.344224, -0.165015, 0.505620, 0.145208, 0.357733, -0.176168, 0.516719, 0.160730, - 0.373046, -0.187468, 0.528513, 0.177807, 0.387880, -0.198488, 0.537713, 0.196072, - 0.405133, -0.209545, 0.547999, 0.216050, 0.423845, -0.220724, 0.557590, 0.237484, - 0.443777, -0.231518, 0.566246, 0.260390, 0.464824, -0.242035, 0.574326, 0.284835, - 0.486635, -0.251898, 0.580370, 0.310518, 0.510120, -0.261304, 0.585680, 0.337678, - 0.535301, -0.270384, 0.590197, 0.366242, 0.559193, -0.278410, 0.590569, 0.395873, - 0.583544, -0.285325, 0.588161, 0.426857, 0.608834, -0.291113, 0.584249, 0.459477, - 0.635753, -0.294882, 0.577630, 0.494734, 0.664367, -0.297088, 0.569479, 0.532023, - 0.689688, -0.297364, 0.555064, 0.569629, 0.715732, -0.295949, 0.539522, 0.608124, - 0.741307, -0.292259, 0.521613, 0.646231, 0.764949, -0.287063, 0.499690, 0.684938, - 0.788599, -0.280120, 0.476747, 0.723548, 0.810480, -0.271530, 0.451160, 0.761135, - 0.831372, -0.261289, 0.424101, 0.798916, 0.850092, -0.249559, 0.394430, 0.835952, - 0.867777, -0.236348, 0.363849, 0.871606, 0.884632, -0.221569, 0.332477, 0.907843, - 0.900470, -0.206180, 0.300667, 0.944187, 0.914524, -0.188771, 0.266552, 0.981371, - 0.926892, -0.168362, 0.232349, 1.018410, 0.937951, -0.146761, 0.199359, 1.053080, - 0.947236, -0.123813, 0.167500, 1.083900, 0.954367, -0.099984, 0.136166, 1.110470, - 0.963907, -0.075928, 0.103808, 1.134140, 0.976218, -0.051137, 0.069706, 1.155750, - 0.988772, -0.026742, 0.035253, 1.175310, 0.999888, -0.000521, 0.000290, 1.193890, - 0.263546, -0.000009, 0.441896, 0.000005, 0.262352, -0.000222, 0.439889, 0.000132, - 0.262325, -0.000887, 0.439848, 0.000529, 0.262280, -0.001995, 0.439765, 0.001190, - 0.262372, -0.003547, 0.439922, 0.002116, 0.262390, -0.005541, 0.439941, 0.003307, - 0.262412, -0.007979, 0.439961, 0.004763, 0.262453, -0.010858, 0.440002, 0.006488, - 0.262528, -0.014179, 0.440085, 0.008483, 0.262615, -0.017938, 0.440166, 0.010753, - 0.262744, -0.022135, 0.440291, 0.013304, 0.262939, -0.026762, 0.440493, 0.016144, - 0.263277, -0.031757, 0.440889, 0.019297, 0.263680, -0.037183, 0.441338, 0.022770, - 0.264106, -0.043037, 0.441753, 0.026570, 0.264624, -0.049304, 0.442227, 0.030718, - 0.265378, -0.055867, 0.442985, 0.035262, 0.266253, -0.062872, 0.443795, 0.040197, - 0.267478, -0.070157, 0.445008, 0.045590, 0.269062, -0.077845, 0.446599, 0.051454, - 0.270926, -0.085794, 0.448349, 0.057838, 0.273693, -0.094077, 0.451221, 0.064836, - 0.276746, -0.102704, 0.454097, 0.072439, 0.281693, -0.111735, 0.459517, 0.080874, - 0.287335, -0.121004, 0.465310, 0.090155, 0.294480, -0.130734, 0.472605, 0.100371, - 0.302570, -0.140777, 0.480251, 0.111644, 0.312465, -0.151110, 0.489444, 0.124111, - 0.324856, -0.161890, 0.500919, 0.137979, 0.337740, -0.172946, 0.511317, 0.153163, - 0.352550, -0.184152, 0.522684, 0.169817, 0.367786, -0.195220, 0.532480, 0.187886, - 0.385474, -0.206320, 0.543326, 0.207634, 0.404976, -0.217744, 0.554109, 0.229165, - 0.425203, -0.228691, 0.563395, 0.252068, 0.446704, -0.239299, 0.571565, 0.276471, - 0.468951, -0.249348, 0.577935, 0.302323, 0.493487, -0.258933, 0.584309, 0.329882, - 0.517861, -0.268009, 0.587730, 0.358525, 0.543309, -0.276238, 0.589612, 0.388585, - 0.569704, -0.283560, 0.589294, 0.419787, 0.594871, -0.289497, 0.585137, 0.452114, - 0.622555, -0.294452, 0.580356, 0.486466, 0.651167, -0.296918, 0.571850, 0.523079, - 0.677332, -0.297647, 0.558428, 0.561100, 0.703718, -0.296321, 0.542232, 0.599592, - 0.730262, -0.293339, 0.524541, 0.639138, 0.754304, -0.288036, 0.502691, 0.677978, - 0.778051, -0.281018, 0.479212, 0.716537, 0.801557, -0.272414, 0.454071, 0.755860, - 0.822559, -0.262419, 0.425952, 0.794477, 0.843051, -0.250702, 0.397313, 0.832664, - 0.862320, -0.237264, 0.366534, 0.869876, 0.879044, -0.222716, 0.334816, 0.906973, - 0.896362, -0.206827, 0.303143, 0.943558, 0.910342, -0.189659, 0.269699, 0.979759, - 0.924119, -0.171108, 0.236411, 1.017180, 0.935374, -0.149579, 0.202224, 1.052890, - 0.944295, -0.126295, 0.169890, 1.084960, 0.952227, -0.101511, 0.138089, 1.112560, - 0.962041, -0.076639, 0.105053, 1.137500, 0.975280, -0.051197, 0.070329, 1.159830, - 0.988476, -0.025463, 0.035127, 1.179870, 0.999962, 0.000029, 0.000015, 1.199010, - 0.227089, -0.000008, 0.404216, 0.000005, 0.239725, -0.000215, 0.426708, 0.000121, - 0.239904, -0.000861, 0.427028, 0.000484, 0.239911, -0.001937, 0.427039, 0.001088, - 0.239914, -0.003443, 0.427040, 0.001935, 0.239933, -0.005379, 0.427064, 0.003024, - 0.239944, -0.007745, 0.427065, 0.004356, 0.239993, -0.010540, 0.427122, 0.005934, - 0.240052, -0.013763, 0.427179, 0.007760, 0.240148, -0.017411, 0.427279, 0.009839, - 0.240278, -0.021484, 0.427410, 0.012176, 0.240472, -0.025973, 0.427618, 0.014783, - 0.240839, -0.030813, 0.428086, 0.017684, 0.241201, -0.036089, 0.428482, 0.020878, - 0.241626, -0.041772, 0.428907, 0.024382, 0.242207, -0.047834, 0.429520, 0.028223, - 0.242980, -0.054220, 0.430332, 0.032433, 0.243881, -0.061002, 0.431222, 0.037025, - 0.245123, -0.068087, 0.432512, 0.042054, 0.246670, -0.075548, 0.434088, 0.047541, - 0.248779, -0.083287, 0.436323, 0.053554, 0.251665, -0.091355, 0.439509, 0.060172, - 0.255305, -0.099849, 0.443478, 0.067428, 0.260049, -0.108576, 0.448713, 0.075467, - 0.266192, -0.117754, 0.455524, 0.084339, 0.273158, -0.127294, 0.462700, 0.094168, - 0.282131, -0.137311, 0.472068, 0.105150, 0.293332, -0.147736, 0.483565, 0.117402, - 0.304667, -0.158357, 0.493702, 0.130824, 0.317785, -0.169274, 0.504708, 0.145724, - 0.333245, -0.180595, 0.517107, 0.162150, 0.349843, -0.191892, 0.528849, 0.180149, - 0.367944, -0.203168, 0.540301, 0.199746, 0.387579, -0.214443, 0.551514, 0.221047, - 0.408247, -0.225624, 0.560906, 0.243981, 0.430140, -0.236422, 0.569590, 0.268513, - 0.452669, -0.246540, 0.576098, 0.294409, 0.476196, -0.256157, 0.580925, 0.322002, - 0.501157, -0.265289, 0.584839, 0.351052, 0.527632, -0.273671, 0.587614, 0.381200, - 0.555754, -0.281254, 0.589119, 0.412994, 0.581682, -0.287448, 0.585204, 0.445498, - 0.608196, -0.292614, 0.579006, 0.479505, 0.635661, -0.296068, 0.571297, 0.514643, - 0.664999, -0.297395, 0.560855, 0.552213, 0.691039, -0.296645, 0.544525, 0.591365, - 0.717900, -0.293785, 0.526535, 0.630883, 0.744059, -0.289089, 0.505450, 0.670932, - 0.768630, -0.282239, 0.482514, 0.710904, 0.793273, -0.273688, 0.457246, 0.750259, - 0.814731, -0.263280, 0.428872, 0.789480, 0.835603, -0.251526, 0.399384, 0.828597, - 0.854890, -0.238339, 0.368811, 0.866892, 0.872828, -0.223607, 0.336617, 0.905630, - 0.889462, -0.207538, 0.303997, 0.943538, 0.904929, -0.190297, 0.270812, 0.980591, - 0.919101, -0.172034, 0.237453, 1.019350, 0.930536, -0.152058, 0.204431, 1.054980, - 0.941223, -0.129515, 0.172495, 1.087170, 0.949820, -0.104263, 0.140175, 1.115510, - 0.960592, -0.078194, 0.106465, 1.140980, 0.974629, -0.051688, 0.071159, 1.164180, - 0.988110, -0.025393, 0.035443, 1.184650, 1.000040, 0.000804, -0.000331, 1.204620, - 0.214668, -0.000008, 0.406619, 0.000004, 0.218053, -0.000208, 0.413025, 0.000110, - 0.217987, -0.000832, 0.412901, 0.000439, 0.217971, -0.001872, 0.412876, 0.000989, - 0.217968, -0.003329, 0.412860, 0.001758, 0.217985, -0.005201, 0.412882, 0.002747, - 0.218014, -0.007488, 0.412916, 0.003958, 0.218054, -0.010190, 0.412957, 0.005393, - 0.218106, -0.013306, 0.413005, 0.007053, 0.218217, -0.016834, 0.413139, 0.008946, - 0.218338, -0.020771, 0.413258, 0.011075, 0.218550, -0.025100, 0.413509, 0.013455, - 0.218913, -0.029786, 0.413992, 0.016108, 0.219265, -0.034896, 0.414383, 0.019031, - 0.219696, -0.040391, 0.414839, 0.022246, 0.220329, -0.046200, 0.415567, 0.025792, - 0.220989, -0.052421, 0.416210, 0.029664, 0.222027, -0.058948, 0.417385, 0.033932, - 0.223301, -0.065821, 0.418779, 0.038606, 0.224988, -0.073035, 0.420665, 0.043735, - 0.227211, -0.080527, 0.423198, 0.049384, 0.230131, -0.088395, 0.426566, 0.055614, - 0.233908, -0.096621, 0.430910, 0.062483, 0.239092, -0.105223, 0.437148, 0.070164, - 0.245315, -0.114240, 0.444302, 0.078695, 0.253166, -0.123680, 0.453262, 0.088238, - 0.262374, -0.133569, 0.463211, 0.098868, 0.273145, -0.143836, 0.474271, 0.110727, - 0.285512, -0.154577, 0.486300, 0.123945, 0.299512, -0.165501, 0.498817, 0.138581, - 0.314287, -0.176698, 0.510341, 0.154676, 0.331083, -0.188066, 0.522583, 0.172459, - 0.349615, -0.199597, 0.534879, 0.191979, 0.369318, -0.210843, 0.546083, 0.213090, - 0.390377, -0.222068, 0.556200, 0.235998, 0.412411, -0.233059, 0.564704, 0.260518, - 0.435715, -0.243570, 0.572314, 0.286795, 0.461196, -0.253356, 0.579395, 0.314559, - 0.485587, -0.262362, 0.581985, 0.343581, 0.511908, -0.270895, 0.584347, 0.374367, - 0.539798, -0.278452, 0.585050, 0.406015, 0.567974, -0.284877, 0.583344, 0.439168, - 0.594303, -0.290124, 0.577348, 0.473005, 0.622951, -0.294183, 0.570751, 0.508534, - 0.652404, -0.296389, 0.561541, 0.544764, 0.679291, -0.296605, 0.546426, 0.582927, - 0.706437, -0.294095, 0.528599, 0.622681, 0.734485, -0.289780, 0.508676, 0.663567, - 0.758841, -0.283363, 0.484768, 0.704092, 0.785370, -0.275015, 0.460434, 0.745101, - 0.807315, -0.264689, 0.432166, 0.784712, 0.827100, -0.252597, 0.401807, 0.824241, - 0.849191, -0.239154, 0.371458, 0.863803, 0.867046, -0.224451, 0.338873, 0.903063, - 0.885200, -0.208342, 0.306175, 0.942763, 0.901771, -0.190684, 0.272759, 0.981559, - 0.915958, -0.172105, 0.239306, 1.020480, 0.928046, -0.152214, 0.206071, 1.057650, - 0.939961, -0.130247, 0.173670, 1.089990, 0.948711, -0.106720, 0.142201, 1.118290, - 0.959305, -0.080869, 0.108454, 1.144670, 0.973009, -0.053914, 0.072811, 1.168390, - 0.987631, -0.026295, 0.036062, 1.190040, 0.999978, 0.001328, -0.000559, 1.210580, - 0.193925, -0.000008, 0.391974, 0.000004, 0.196746, -0.000200, 0.397675, 0.000099, - 0.196670, -0.000801, 0.397521, 0.000396, 0.196633, -0.001802, 0.397445, 0.000892, - 0.196654, -0.003204, 0.397482, 0.001586, 0.196659, -0.005006, 0.397480, 0.002479, - 0.196683, -0.007209, 0.397506, 0.003572, 0.196728, -0.009810, 0.397562, 0.004867, - 0.196792, -0.012810, 0.397633, 0.006367, 0.196890, -0.016206, 0.397746, 0.008078, - 0.197017, -0.019994, 0.397884, 0.010005, 0.197290, -0.024139, 0.398270, 0.012169, - 0.197583, -0.028667, 0.398639, 0.014575, 0.197927, -0.033586, 0.399034, 0.017236, - 0.198383, -0.038881, 0.399554, 0.020172, 0.199002, -0.044474, 0.400289, 0.023419, - 0.199739, -0.050458, 0.401111, 0.026984, 0.200784, -0.056729, 0.402349, 0.030922, - 0.202075, -0.063364, 0.403841, 0.035250, 0.203898, -0.070325, 0.406076, 0.040031, - 0.206199, -0.077557, 0.408841, 0.045328, 0.209252, -0.085184, 0.412590, 0.051179, - 0.213638, -0.093199, 0.418288, 0.057746, 0.218810, -0.101617, 0.424681, 0.065051, - 0.225642, -0.110520, 0.433429, 0.073276, 0.233717, -0.119772, 0.442897, 0.082468, - 0.242823, -0.129505, 0.452888, 0.092748, 0.254772, -0.139906, 0.466407, 0.104417, - 0.266603, -0.150402, 0.477413, 0.117211, 0.280730, -0.161395, 0.490519, 0.131598, - 0.295399, -0.172465, 0.502010, 0.147407, 0.312705, -0.183982, 0.515311, 0.165031, - 0.331335, -0.195532, 0.527860, 0.184336, 0.351037, -0.206971, 0.539200, 0.205361, - 0.372175, -0.218117, 0.549410, 0.228043, 0.394548, -0.229327, 0.558642, 0.252670, - 0.419598, -0.240052, 0.567861, 0.279071, 0.443922, -0.249937, 0.573332, 0.306882, - 0.471495, -0.259407, 0.580130, 0.336610, 0.496769, -0.267749, 0.580564, 0.367328, - 0.524951, -0.275524, 0.581696, 0.399753, 0.553180, -0.282148, 0.579885, 0.433134, - 0.581577, -0.287533, 0.575471, 0.467534, 0.609231, -0.291612, 0.567445, 0.502943, - 0.637478, -0.293911, 0.557657, 0.538710, 0.667795, -0.295096, 0.546535, 0.576568, - 0.694272, -0.294073, 0.529561, 0.614929, 0.722937, -0.290386, 0.510561, 0.655909, - 0.749682, -0.284481, 0.487846, 0.697663, 0.774754, -0.276188, 0.462487, 0.738515, - 0.799301, -0.266215, 0.434810, 0.779802, 0.820762, -0.254116, 0.404879, 0.820045, - 0.843231, -0.240393, 0.374559, 0.860294, 0.861857, -0.225503, 0.341582, 0.900965, - 0.880815, -0.209382, 0.308778, 0.941727, 0.897660, -0.191550, 0.275232, 0.980916, - 0.912926, -0.172346, 0.240938, 1.021620, 0.926391, -0.151799, 0.207223, 1.059700, - 0.938429, -0.129968, 0.174840, 1.092910, 0.947834, -0.106510, 0.142984, 1.122480, - 0.958432, -0.082410, 0.109902, 1.149000, 0.972402, -0.056524, 0.074445, 1.173300, - 0.987191, -0.028427, 0.037379, 1.195380, 0.999975, 0.000039, -0.000042, 1.216760, - 0.178114, -0.000008, 0.385418, 0.000004, 0.176074, -0.000192, 0.381002, 0.000089, - 0.176010, -0.000768, 0.380861, 0.000355, 0.175980, -0.001727, 0.380798, 0.000798, - 0.175994, -0.003070, 0.380824, 0.001419, 0.176017, -0.004797, 0.380858, 0.002219, - 0.176019, -0.006906, 0.380839, 0.003197, 0.176072, -0.009399, 0.380913, 0.004357, - 0.176131, -0.012273, 0.380979, 0.005702, 0.176239, -0.015526, 0.381120, 0.007237, - 0.176371, -0.019155, 0.381272, 0.008969, 0.176638, -0.023117, 0.381669, 0.010919, - 0.176912, -0.027463, 0.382015, 0.013090, 0.177279, -0.032173, 0.382476, 0.015495, - 0.177740, -0.037222, 0.383041, 0.018167, 0.178344, -0.042613, 0.383780, 0.021121, - 0.179153, -0.048331, 0.384773, 0.024390, 0.180197, -0.054345, 0.386076, 0.028006, - 0.181581, -0.060712, 0.387809, 0.032004, 0.183440, -0.067386, 0.390205, 0.036453, - 0.186139, -0.074399, 0.393944, 0.041416, 0.189432, -0.081773, 0.398320, 0.046939, - 0.193795, -0.089546, 0.404188, 0.053144, 0.199641, -0.097826, 0.412100, 0.060137, - 0.206679, -0.106499, 0.421425, 0.068008, 0.214865, -0.115654, 0.431504, 0.076919, - 0.224406, -0.125268, 0.442526, 0.086884, 0.235876, -0.135475, 0.455465, 0.098187, - 0.248335, -0.146023, 0.468100, 0.110759, 0.262868, -0.157016, 0.482069, 0.124885, - 0.278962, -0.168245, 0.496182, 0.140645, 0.295082, -0.179580, 0.507401, 0.157838, - 0.313738, -0.191227, 0.520252, 0.176950, 0.333573, -0.202718, 0.531708, 0.197817, - 0.356433, -0.214424, 0.544509, 0.220785, 0.378853, -0.225492, 0.553730, 0.245306, - 0.402717, -0.236236, 0.561348, 0.271593, 0.428375, -0.246568, 0.568538, 0.299776, - 0.454724, -0.255941, 0.573462, 0.329433, 0.482291, -0.264511, 0.576356, 0.360598, - 0.509706, -0.272129, 0.576446, 0.393204, 0.538805, -0.278979, 0.575298, 0.427227, - 0.568919, -0.284528, 0.572154, 0.462157, 0.596804, -0.288801, 0.564691, 0.497997, - 0.625987, -0.291334, 0.555134, 0.534467, 0.656414, -0.292722, 0.545051, 0.571736, - 0.683916, -0.292185, 0.528813, 0.610158, 0.711809, -0.290043, 0.511060, 0.649061, - 0.739547, -0.285246, 0.490103, 0.690081, 0.766914, -0.277647, 0.465523, 0.732554, - 0.791375, -0.267603, 0.437718, 0.773982, 0.814772, -0.256109, 0.408820, 0.816090, - 0.836691, -0.242281, 0.377823, 0.856849, 0.856984, -0.227155, 0.344960, 0.898363, - 0.876332, -0.210395, 0.311335, 0.939471, 0.894988, -0.192612, 0.277703, 0.980799, - 0.911113, -0.173236, 0.243019, 1.022150, 0.924092, -0.152258, 0.209037, 1.061390, - 0.936828, -0.129575, 0.175909, 1.096350, 0.946869, -0.105940, 0.143852, 1.127070, - 0.958284, -0.081318, 0.110289, 1.154190, 0.972325, -0.055613, 0.074723, 1.179090, - 0.986878, -0.029790, 0.038315, 1.201630, 0.999936, -0.001972, 0.000912, 1.223380, - 0.151174, -0.000007, 0.351531, 0.000003, 0.155594, -0.000183, 0.361806, 0.000079, - 0.156099, -0.000732, 0.362982, 0.000315, 0.156053, -0.001646, 0.362869, 0.000708, - 0.156093, -0.002926, 0.362961, 0.001259, 0.156099, -0.004572, 0.362959, 0.001968, - 0.156120, -0.006582, 0.362982, 0.002836, 0.156168, -0.008958, 0.363048, 0.003866, - 0.156221, -0.011696, 0.363101, 0.005061, 0.156324, -0.014797, 0.363241, 0.006427, - 0.156476, -0.018250, 0.363448, 0.007972, 0.156731, -0.022027, 0.363840, 0.009715, - 0.156994, -0.026176, 0.364179, 0.011657, 0.157341, -0.030670, 0.364620, 0.013821, - 0.157867, -0.035459, 0.365364, 0.016236, 0.158460, -0.040614, 0.366111, 0.018909, - 0.159308, -0.046052, 0.367248, 0.021885, 0.160426, -0.051810, 0.368767, 0.025200, - 0.161877, -0.057891, 0.370745, 0.028882, 0.163995, -0.064281, 0.373831, 0.033014, - 0.166550, -0.071007, 0.377366, 0.037628, 0.170237, -0.078152, 0.382799, 0.042849, - 0.175096, -0.085717, 0.389915, 0.048732, 0.181069, -0.093802, 0.398487, 0.055421, - 0.188487, -0.102363, 0.408799, 0.063019, 0.197029, -0.111343, 0.419991, 0.071634, - 0.206684, -0.120812, 0.431455, 0.081280, 0.218698, -0.131033, 0.445746, 0.092365, - 0.230726, -0.141373, 0.457471, 0.104545, 0.245516, -0.152387, 0.472388, 0.118449, - 0.261551, -0.163628, 0.486671, 0.133923, 0.277437, -0.174814, 0.497620, 0.150849, - 0.296662, -0.186713, 0.511620, 0.169924, 0.317950, -0.198513, 0.525435, 0.190848, - 0.339422, -0.210119, 0.536267, 0.213504, 0.362143, -0.221354, 0.545982, 0.237947, - 0.387198, -0.232240, 0.555364, 0.264427, 0.412349, -0.242570, 0.561489, 0.292519, - 0.439274, -0.252284, 0.566903, 0.322561, 0.466779, -0.261023, 0.569614, 0.353952, - 0.496011, -0.268990, 0.571589, 0.387278, 0.524964, -0.275498, 0.570325, 0.421356, - 0.556518, -0.281449, 0.568792, 0.457314, 0.584363, -0.285526, 0.560268, 0.493199, - 0.614214, -0.288440, 0.552050, 0.530276, 0.645684, -0.289777, 0.541906, 0.568550, - 0.673446, -0.289722, 0.526464, 0.606927, 0.701924, -0.287792, 0.509872, 0.645945, - 0.730370, -0.284315, 0.490649, 0.685564, 0.757405, -0.278804, 0.467964, 0.726511, - 0.784025, -0.269543, 0.441468, 0.768601, 0.808255, -0.258117, 0.412160, 0.811321, - 0.830739, -0.244728, 0.380606, 0.853496, 0.851914, -0.229428, 0.348111, 0.895374, - 0.872586, -0.212508, 0.314732, 0.937674, 0.891581, -0.194025, 0.280338, 0.979869, - 0.907641, -0.174711, 0.245203, 1.022530, 0.922233, -0.153509, 0.210770, 1.063710, - 0.935878, -0.130418, 0.177399, 1.099720, 0.946338, -0.105558, 0.144507, 1.131240, - 0.957265, -0.080059, 0.110508, 1.159730, 0.971668, -0.053977, 0.074231, 1.185150, - 0.986600, -0.027710, 0.037522, 1.208580, 1.000210, -0.000516, 0.000135, 1.231350, - 0.137468, -0.000007, 0.345041, 0.000003, 0.137030, -0.000173, 0.343936, 0.000069, - 0.136986, -0.000693, 0.343830, 0.000276, 0.136964, -0.001559, 0.343761, 0.000621, - 0.137003, -0.002772, 0.343863, 0.001105, 0.137012, -0.004331, 0.343868, 0.001727, - 0.137043, -0.006236, 0.343916, 0.002490, 0.137090, -0.008487, 0.343986, 0.003396, - 0.137145, -0.011081, 0.344045, 0.004447, 0.137242, -0.014019, 0.344177, 0.005650, - 0.137431, -0.017271, 0.344491, 0.007019, 0.137644, -0.020861, 0.344805, 0.008560, - 0.137910, -0.024792, 0.345172, 0.010286, 0.138295, -0.029046, 0.345734, 0.012219, - 0.138764, -0.033596, 0.346371, 0.014377, 0.139415, -0.038467, 0.347298, 0.016789, - 0.140272, -0.043618, 0.348527, 0.019489, 0.141457, -0.049102, 0.350276, 0.022504, - 0.143030, -0.054876, 0.352646, 0.025896, 0.145289, -0.061010, 0.356206, 0.029717, - 0.148502, -0.067478, 0.361488, 0.034056, 0.152188, -0.074345, 0.367103, 0.038953, - 0.157359, -0.081744, 0.375247, 0.044554, 0.163790, -0.089633, 0.385064, 0.050953, - 0.171376, -0.098005, 0.396082, 0.058261, 0.179901, -0.106817, 0.407418, 0.066540, - 0.189892, -0.116239, 0.420031, 0.075994, 0.201838, -0.126270, 0.434321, 0.086724, - 0.214311, -0.136701, 0.447631, 0.098752, 0.228902, -0.147616, 0.462046, 0.112353, - 0.245107, -0.158871, 0.476942, 0.127605, 0.262292, -0.170261, 0.490285, 0.144469, - 0.281215, -0.182017, 0.503783, 0.163282, 0.301058, -0.193729, 0.515505, 0.183873, - 0.322752, -0.205512, 0.526820, 0.206466, 0.347547, -0.217214, 0.539473, 0.231194, - 0.370969, -0.227966, 0.546625, 0.257288, 0.397533, -0.238555, 0.554720, 0.285789, - 0.423980, -0.248278, 0.559468, 0.315746, 0.452928, -0.257422, 0.564095, 0.347724, - 0.482121, -0.265306, 0.565426, 0.380922, 0.510438, -0.272043, 0.563205, 0.415639, - 0.541188, -0.277614, 0.561087, 0.451702, 0.571667, -0.281927, 0.554922, 0.488450, - 0.602432, -0.285015, 0.546838, 0.526442, 0.634126, -0.286512, 0.537415, 0.564896, - 0.662816, -0.286388, 0.522906, 0.604037, 0.692411, -0.284734, 0.507003, 0.643795, - 0.720946, -0.281297, 0.488398, 0.682980, 0.748293, -0.276262, 0.466353, 0.723466, - 0.776931, -0.269978, 0.443573, 0.764565, 0.801065, -0.260305, 0.415279, 0.805838, - 0.825843, -0.247426, 0.384773, 0.849985, 0.848070, -0.232437, 0.352555, 0.893174, - 0.869122, -0.215806, 0.318642, 0.936564, 0.888963, -0.197307, 0.283810, 0.980253, - 0.905547, -0.177203, 0.247888, 1.024630, 0.918554, -0.155542, 0.212904, 1.067140, - 0.931395, -0.131948, 0.178700, 1.104510, 0.941749, -0.106723, 0.145902, 1.136940, - 0.954551, -0.080494, 0.111193, 1.166600, 0.970279, -0.053424, 0.074470, 1.192490, - 0.986117, -0.025745, 0.036879, 1.216650, 0.999938, 0.001906, -0.001029, 1.239810, - 0.118493, -0.000006, 0.322720, 0.000002, 0.118765, -0.000163, 0.323456, 0.000060, - 0.118772, -0.000652, 0.323477, 0.000239, 0.118843, -0.001467, 0.323657, 0.000539, - 0.118804, -0.002608, 0.323553, 0.000958, 0.118826, -0.004076, 0.323595, 0.001498, - 0.118846, -0.005868, 0.323617, 0.002160, 0.118886, -0.007986, 0.323670, 0.002947, - 0.118947, -0.010427, 0.323753, 0.003861, 0.119055, -0.013191, 0.323922, 0.004910, - 0.119241, -0.016244, 0.324251, 0.006108, 0.119440, -0.019634, 0.324544, 0.007458, - 0.119739, -0.023338, 0.325026, 0.008978, 0.120110, -0.027318, 0.325586, 0.010689, - 0.120571, -0.031614, 0.326231, 0.012607, 0.121240, -0.036194, 0.327264, 0.014765, - 0.122162, -0.041051, 0.328733, 0.017200, 0.123378, -0.046223, 0.330659, 0.019938, - 0.125183, -0.051711, 0.333754, 0.023050, 0.127832, -0.057565, 0.338507, 0.026597, - 0.130909, -0.063744, 0.343666, 0.030634, 0.135221, -0.070430, 0.351063, 0.035273, - 0.140820, -0.077636, 0.360604, 0.040614, 0.146781, -0.085229, 0.369638, 0.046679, - 0.155121, -0.093535, 0.382700, 0.053763, 0.163980, -0.102234, 0.395220, 0.061798, - 0.173926, -0.111465, 0.407930, 0.070970, 0.185137, -0.121296, 0.421050, 0.081343, - 0.198260, -0.131690, 0.435735, 0.093160, 0.212938, -0.142614, 0.450932, 0.106547, - 0.229046, -0.153884, 0.465726, 0.121575, 0.246246, -0.165382, 0.479461, 0.138286, - 0.264637, -0.176806, 0.492106, 0.156660, 0.284959, -0.188793, 0.504774, 0.177280, - 0.308157, -0.200763, 0.518805, 0.199880, 0.330951, -0.212390, 0.528231, 0.224293, - 0.354900, -0.223521, 0.536376, 0.250541, 0.381502, -0.234169, 0.544846, 0.278902, - 0.409529, -0.244077, 0.551717, 0.309227, 0.437523, -0.253363, 0.555170, 0.341426, - 0.467624, -0.261659, 0.557772, 0.375180, 0.497268, -0.268498, 0.556442, 0.410070, - 0.528294, -0.274018, 0.553915, 0.446445, 0.559053, -0.278169, 0.549153, 0.483779, - 0.589329, -0.281229, 0.539878, 0.522249, 0.622503, -0.282902, 0.531620, 0.561754, - 0.652382, -0.282815, 0.518119, 0.601544, 0.681847, -0.281247, 0.502187, 0.641574, - 0.712285, -0.277986, 0.484824, 0.682633, 0.740094, -0.273017, 0.463483, 0.723426, - 0.768478, -0.266692, 0.441299, 0.763747, 0.794556, -0.258358, 0.415238, 0.805565, - 0.819408, -0.248807, 0.386912, 0.847254, 0.843411, -0.236214, 0.356165, 0.891091, - 0.862397, -0.219794, 0.320562, 0.936174, 0.883113, -0.201768, 0.285322, 0.982562, - 0.900230, -0.181672, 0.249713, 1.028620, 0.915192, -0.159279, 0.214546, 1.071630, - 0.928458, -0.134725, 0.180285, 1.109950, 0.940690, -0.109130, 0.147119, 1.143540, - 0.953409, -0.082131, 0.112492, 1.173720, 0.969537, -0.054268, 0.075201, 1.200430, - 0.985612, -0.025910, 0.037036, 1.225280, 0.999835, 0.002982, -0.001518, 1.249590, - 0.100970, -0.000006, 0.300277, 0.000002, 0.101577, -0.000152, 0.302077, 0.000051, - 0.101572, -0.000609, 0.302066, 0.000205, 0.101566, -0.001370, 0.302047, 0.000461, - 0.101592, -0.002436, 0.302114, 0.000819, 0.101608, -0.003805, 0.302140, 0.001282, - 0.101627, -0.005479, 0.302160, 0.001848, 0.101669, -0.007456, 0.302224, 0.002522, - 0.101732, -0.009736, 0.302318, 0.003307, 0.101844, -0.012310, 0.302513, 0.004211, - 0.102025, -0.015168, 0.302850, 0.005245, 0.102224, -0.018333, 0.303166, 0.006415, - 0.102515, -0.021782, 0.303654, 0.007741, 0.102886, -0.025507, 0.304243, 0.009240, - 0.103395, -0.029514, 0.305089, 0.010934, 0.104109, -0.033791, 0.306301, 0.012856, - 0.105074, -0.038357, 0.307980, 0.015034, 0.106540, -0.043213, 0.310726, 0.017523, - 0.108478, -0.048424, 0.314351, 0.020365, 0.111015, -0.053934, 0.319032, 0.023633, - 0.114682, -0.059888, 0.326050, 0.027419, 0.119110, -0.066337, 0.334109, 0.031790, - 0.124736, -0.073301, 0.344013, 0.036850, 0.131479, -0.080774, 0.355358, 0.042710, - 0.139283, -0.088820, 0.367614, 0.049479, 0.148054, -0.097339, 0.380072, 0.057237, - 0.159037, -0.106650, 0.395678, 0.066270, 0.169794, -0.116221, 0.407950, 0.076319, - 0.183140, -0.126632, 0.423546, 0.087956, 0.197515, -0.137383, 0.438213, 0.101042, - 0.213514, -0.148641, 0.453248, 0.115827, 0.230650, -0.160117, 0.466880, 0.132283, - 0.249148, -0.171807, 0.479962, 0.150644, 0.270219, -0.183695, 0.494618, 0.171073, - 0.292338, -0.195574, 0.506937, 0.193378, 0.314999, -0.207205, 0.516463, 0.217585, - 0.340991, -0.218955, 0.528123, 0.244280, 0.367982, -0.229917, 0.537025, 0.272784, - 0.394320, -0.239737, 0.541627, 0.302742, 0.423364, -0.249048, 0.546466, 0.335112, - 0.453751, -0.257329, 0.549466, 0.369032, 0.484160, -0.264623, 0.549503, 0.404577, - 0.515262, -0.270411, 0.547008, 0.441337, 0.547036, -0.274581, 0.542249, 0.479162, - 0.576614, -0.277266, 0.533015, 0.517904, 0.611143, -0.279144, 0.525512, 0.558508, - 0.640989, -0.279001, 0.511540, 0.598995, 0.671182, -0.277324, 0.495641, 0.639935, - 0.700848, -0.273908, 0.477526, 0.681017, 0.729862, -0.269063, 0.457955, 0.722764, - 0.758273, -0.262282, 0.434846, 0.764349, 0.784121, -0.254281, 0.409203, 0.806206, - 0.809798, -0.245050, 0.382694, 0.848617, 0.834953, -0.233861, 0.354034, 0.892445, - 0.856817, -0.221308, 0.321764, 0.936263, 0.877609, -0.205996, 0.288118, 0.982401, - 0.897489, -0.186702, 0.253277, 1.029750, 0.913792, -0.164618, 0.217963, 1.074880, - 0.927850, -0.140023, 0.183221, 1.114870, 0.940378, -0.113280, 0.149385, 1.149470, - 0.952730, -0.085396, 0.114152, 1.180700, 0.969059, -0.056870, 0.076984, 1.209120, - 0.985574, -0.027650, 0.038119, 1.234980, 0.999943, 0.002391, -0.001269, 1.259870, - 0.085272, -0.000006, 0.279021, 0.000002, 0.085414, -0.000141, 0.279483, 0.000043, - 0.085419, -0.000563, 0.279500, 0.000172, 0.085419, -0.001268, 0.279493, 0.000387, - 0.085423, -0.002253, 0.279501, 0.000689, 0.085444, -0.003521, 0.279549, 0.001078, - 0.085470, -0.005070, 0.279591, 0.001555, 0.085509, -0.006899, 0.279652, 0.002124, - 0.085572, -0.009008, 0.279752, 0.002787, 0.085699, -0.011380, 0.280011, 0.003555, - 0.085855, -0.014031, 0.280297, 0.004434, 0.086068, -0.016963, 0.280682, 0.005436, - 0.086344, -0.020144, 0.281159, 0.006579, 0.086743, -0.023600, 0.281886, 0.007880, - 0.087239, -0.027307, 0.282745, 0.009361, 0.087982, -0.031269, 0.284139, 0.011056, - 0.089126, -0.035531, 0.286470, 0.013007, 0.090691, -0.040095, 0.289708, 0.015249, - 0.092762, -0.044964, 0.293904, 0.017845, 0.095838, -0.050243, 0.300471, 0.020892, - 0.099583, -0.055951, 0.308060, 0.024425, 0.104526, -0.062215, 0.317874, 0.028572, - 0.110532, -0.069005, 0.329332, 0.033423, 0.117385, -0.076307, 0.341217, 0.039047, - 0.125220, -0.084184, 0.353968, 0.045579, 0.134037, -0.092525, 0.366797, 0.053077, - 0.144014, -0.101487, 0.380209, 0.061742, 0.156013, -0.111273, 0.395956, 0.071777, - 0.168872, -0.121431, 0.410530, 0.083090, 0.183089, -0.132105, 0.425073, 0.095934, - 0.198763, -0.143286, 0.439833, 0.110448, 0.216159, -0.154841, 0.454507, 0.126769, - 0.234859, -0.166588, 0.468368, 0.144950, 0.255879, -0.178626, 0.482846, 0.165233, - 0.276770, -0.190218, 0.493489, 0.187217, 0.301184, -0.202227, 0.506549, 0.211659, - 0.325852, -0.213764, 0.515800, 0.237922, 0.352824, -0.224870, 0.525442, 0.266320, - 0.380882, -0.235246, 0.532487, 0.296691, 0.410137, -0.244847, 0.537703, 0.329179, - 0.439787, -0.253122, 0.540361, 0.363135, 0.472291, -0.260517, 0.542734, 0.399222, - 0.501856, -0.266519, 0.538826, 0.436352, 0.534816, -0.270905, 0.535152, 0.474505, - 0.565069, -0.273826, 0.525979, 0.513988, 0.597154, -0.275333, 0.516394, 0.554852, - 0.630473, -0.275314, 0.506206, 0.596592, 0.660574, -0.273323, 0.489769, 0.638117, - 0.692015, -0.270008, 0.472578, 0.680457, 0.720647, -0.265001, 0.452134, 0.723008, - 0.750528, -0.258311, 0.430344, 0.765954, 0.777568, -0.250046, 0.405624, 0.809012, - 0.803870, -0.240114, 0.378339, 0.852425, 0.828439, -0.228737, 0.349877, 0.895346, - 0.851472, -0.216632, 0.318968, 0.940695, 0.873906, -0.202782, 0.287489, 0.987235, - 0.894670, -0.187059, 0.254394, 1.033480, 0.912281, -0.168818, 0.221294, 1.078120, - 0.927358, -0.146494, 0.186750, 1.119280, 0.940385, -0.120009, 0.152322, 1.156090, - 0.952672, -0.091718, 0.117514, 1.188750, 0.968496, -0.062032, 0.079741, 1.218210, - 0.985236, -0.031495, 0.040238, 1.245230, 0.999980, -0.000575, 0.000111, 1.271330, - 0.070243, -0.000005, 0.255273, 0.000001, 0.070298, -0.000129, 0.255469, 0.000035, - 0.070369, -0.000516, 0.255727, 0.000142, 0.070380, -0.001160, 0.255754, 0.000319, - 0.070396, -0.002062, 0.255813, 0.000568, 0.070410, -0.003222, 0.255839, 0.000889, - 0.070430, -0.004639, 0.255863, 0.001283, 0.070476, -0.006314, 0.255953, 0.001753, - 0.070543, -0.008243, 0.256079, 0.002303, 0.070669, -0.010412, 0.256360, 0.002944, - 0.070819, -0.012844, 0.256647, 0.003680, 0.071036, -0.015518, 0.257084, 0.004526, - 0.071322, -0.018437, 0.257637, 0.005497, 0.071718, -0.021600, 0.258416, 0.006612, - 0.072321, -0.024997, 0.259699, 0.007901, 0.073145, -0.028657, 0.261475, 0.009388, - 0.074335, -0.032589, 0.264132, 0.011119, 0.076068, -0.036843, 0.268150, 0.013145, - 0.078454, -0.041429, 0.273636, 0.015525, 0.081862, -0.046463, 0.281653, 0.018353, - 0.085738, -0.051948, 0.289992, 0.021664, 0.090813, -0.057984, 0.300660, 0.025596, - 0.096751, -0.064512, 0.312204, 0.030195, 0.103717, -0.071651, 0.325001, 0.035602, - 0.111596, -0.079323, 0.338129, 0.041896, 0.120933, -0.087645, 0.352853, 0.049245, - 0.130787, -0.096492, 0.366192, 0.057675, 0.142311, -0.105973, 0.380864, 0.067397, - 0.155344, -0.116182, 0.396575, 0.078590, 0.169535, -0.126815, 0.411443, 0.091238, - 0.185173, -0.138015, 0.426256, 0.105607, 0.201755, -0.149325, 0.439607, 0.121551, - 0.221334, -0.161207, 0.455467, 0.139608, 0.241461, -0.173162, 0.469096, 0.159591, - 0.262940, -0.185040, 0.481014, 0.181560, 0.286776, -0.196881, 0.493291, 0.205781, - 0.311596, -0.208311, 0.503556, 0.231819, 0.338667, -0.219671, 0.513268, 0.260274, - 0.366021, -0.230451, 0.519414, 0.290862, 0.395875, -0.240131, 0.526766, 0.323196, - 0.425564, -0.248566, 0.529050, 0.357071, 0.457094, -0.256195, 0.530796, 0.393262, - 0.488286, -0.262331, 0.528703, 0.430797, 0.522291, -0.267141, 0.527270, 0.470231, - 0.554172, -0.270411, 0.519848, 0.510477, 0.586427, -0.271986, 0.510307, 0.551594, - 0.619638, -0.271920, 0.499158, 0.593849, 0.650656, -0.269817, 0.483852, 0.636314, - 0.682840, -0.266267, 0.467515, 0.679679, 0.714356, -0.261130, 0.449310, 0.723884, - 0.742717, -0.254067, 0.425789, 0.767245, 0.770894, -0.245652, 0.401144, 0.811819, - 0.797358, -0.235554, 0.374224, 0.856315, 0.823377, -0.223896, 0.346167, 0.901077, - 0.847456, -0.210865, 0.316056, 0.946502, 0.870697, -0.196574, 0.284503, 0.993711, - 0.891068, -0.180814, 0.251628, 1.041340, 0.909267, -0.163314, 0.219065, 1.086090, - 0.925653, -0.143304, 0.186446, 1.127020, 0.940017, -0.121322, 0.153416, 1.163710, - 0.952398, -0.097387, 0.120334, 1.197120, 0.967568, -0.069878, 0.083520, 1.227910, - 0.984772, -0.039003, 0.043921, 1.256720, 1.000260, -0.007009, 0.003157, 1.284280, - 0.055665, -0.000005, 0.227325, 0.000001, 0.056524, -0.000116, 0.230826, 0.000028, - 0.056572, -0.000466, 0.231026, 0.000114, 0.056586, -0.001048, 0.231079, 0.000257, - 0.056576, -0.001863, 0.231025, 0.000457, 0.056591, -0.002910, 0.231058, 0.000715, - 0.056611, -0.004190, 0.231085, 0.001032, 0.056653, -0.005702, 0.231169, 0.001412, - 0.056747, -0.007437, 0.231417, 0.001860, 0.056857, -0.009403, 0.231661, 0.002383, - 0.056986, -0.011599, 0.231895, 0.002987, 0.057222, -0.014010, 0.232456, 0.003690, - 0.057519, -0.016651, 0.233096, 0.004503, 0.057953, -0.019510, 0.234094, 0.005449, - 0.058592, -0.022599, 0.235629, 0.006556, 0.059565, -0.025942, 0.238106, 0.007857, - 0.060911, -0.029566, 0.241557, 0.009391, 0.062875, -0.033513, 0.246652, 0.011220, - 0.065691, -0.037860, 0.254091, 0.013417, 0.069135, -0.042654, 0.262666, 0.016037, - 0.073217, -0.047897, 0.272029, 0.019151, 0.078286, -0.053672, 0.283007, 0.022860, - 0.084397, -0.060068, 0.295732, 0.027283, 0.091360, -0.067009, 0.308779, 0.032484, - 0.099441, -0.074552, 0.322886, 0.038589, 0.108189, -0.082712, 0.336408, 0.045713, - 0.118574, -0.091493, 0.351692, 0.053983, 0.129989, -0.100854, 0.366502, 0.063516, - 0.142722, -0.110837, 0.381675, 0.074439, 0.156654, -0.121353, 0.396300, 0.086848, - 0.172151, -0.132414, 0.411477, 0.100963, 0.188712, -0.143809, 0.425080, 0.116795, - 0.208093, -0.155765, 0.441328, 0.134715, 0.227936, -0.167608, 0.454328, 0.154396, - 0.249495, -0.179579, 0.467235, 0.176179, 0.273620, -0.191488, 0.480248, 0.200193, - 0.296371, -0.202618, 0.487886, 0.225775, 0.324234, -0.214133, 0.499632, 0.254410, - 0.353049, -0.225212, 0.509532, 0.285077, 0.381785, -0.234875, 0.514265, 0.317047, - 0.414038, -0.244205, 0.521282, 0.351874, 0.445251, -0.252145, 0.522931, 0.388279, - 0.476819, -0.258433, 0.520947, 0.425825, 0.509209, -0.263411, 0.517669, 0.465104, - 0.542759, -0.266732, 0.512841, 0.505741, 0.574822, -0.268263, 0.503317, 0.547611, - 0.609324, -0.268489, 0.493035, 0.590953, 0.641772, -0.266941, 0.478816, 0.634880, - 0.674049, -0.263297, 0.462863, 0.679072, 0.705071, -0.257618, 0.442931, 0.723487, - 0.734709, -0.250625, 0.421299, 0.768708, 0.763704, -0.241790, 0.397085, 0.814375, - 0.791818, -0.231115, 0.370577, 0.859907, 0.817439, -0.219220, 0.342320, 0.906715, - 0.843202, -0.205658, 0.312627, 0.953943, 0.866639, -0.190563, 0.280933, 1.001850, - 0.888129, -0.173978, 0.248393, 1.051050, 0.907239, -0.155485, 0.216007, 1.097040, - 0.923893, -0.134782, 0.183233, 1.138570, 0.938882, -0.112490, 0.150376, 1.175390, - 0.952464, -0.089071, 0.117177, 1.209240, 0.968529, -0.064652, 0.081310, 1.240550, - 0.984763, -0.038606, 0.043938, 1.270180, 1.000530, -0.012380, 0.005987, 1.298730, - 0.043793, -0.000004, 0.204012, 0.000001, 0.044017, -0.000103, 0.205049, 0.000022, - 0.044053, -0.000414, 0.205225, 0.000089, 0.044049, -0.000931, 0.205200, 0.000200, - 0.043988, -0.001654, 0.204901, 0.000355, 0.044072, -0.002585, 0.205255, 0.000557, - 0.044097, -0.003722, 0.205311, 0.000805, 0.044136, -0.005065, 0.205391, 0.001103, - 0.044223, -0.006604, 0.205638, 0.001458, 0.044325, -0.008352, 0.205877, 0.001873, - 0.044483, -0.010299, 0.206270, 0.002359, 0.044700, -0.012445, 0.206796, 0.002930, - 0.045017, -0.014793, 0.207593, 0.003600, 0.045482, -0.017336, 0.208819, 0.004392, - 0.046245, -0.020116, 0.211036, 0.005339, 0.047369, -0.023157, 0.214388, 0.006470, - 0.049019, -0.026494, 0.219357, 0.007839, 0.051278, -0.030184, 0.226061, 0.009502, - 0.054128, -0.034266, 0.234094, 0.011516, 0.057899, -0.038854, 0.244297, 0.013969, - 0.062083, -0.043874, 0.254457, 0.016901, 0.067350, -0.049510, 0.266706, 0.020455, - 0.073176, -0.055626, 0.278753, 0.024661, 0.080394, -0.062459, 0.293090, 0.029713, - 0.087929, -0.069756, 0.305856, 0.035587, 0.097067, -0.077880, 0.321059, 0.042577, - 0.106508, -0.086354, 0.333873, 0.050560, 0.117760, -0.095593, 0.349008, 0.059897, - 0.130081, -0.105438, 0.363776, 0.070631, 0.144454, -0.115899, 0.380112, 0.082882, - 0.159600, -0.126827, 0.394843, 0.096761, 0.176097, -0.138161, 0.409033, 0.112381, - 0.194726, -0.149904, 0.424257, 0.129952, 0.213944, -0.161675, 0.436945, 0.149333, - 0.235516, -0.173659, 0.450176, 0.170892, 0.260564, -0.185963, 0.466305, 0.194984, - 0.285183, -0.197582, 0.477328, 0.220805, 0.311095, -0.208697, 0.486566, 0.248694, - 0.338924, -0.219519, 0.494811, 0.279015, 0.369757, -0.229766, 0.504065, 0.311725, - 0.399600, -0.238879, 0.507909, 0.345844, 0.430484, -0.246802, 0.509805, 0.381749, - 0.464130, -0.253924, 0.511436, 0.420251, 0.497077, -0.259319, 0.508787, 0.459957, - 0.530434, -0.263297, 0.503940, 0.501356, 0.565725, -0.265619, 0.498040, 0.544252, - 0.599254, -0.265842, 0.487346, 0.587856, 0.631251, -0.263978, 0.472975, 0.631969, - 0.663972, -0.260430, 0.457135, 0.677471, 0.697724, -0.255358, 0.439844, 0.723744, - 0.727725, -0.248308, 0.417872, 0.770653, 0.756417, -0.239181, 0.392730, 0.817357, - 0.785419, -0.228140, 0.367839, 0.864221, 0.812660, -0.215681, 0.339449, 0.912701, - 0.839391, -0.201623, 0.309279, 0.962419, 0.863660, -0.185624, 0.278029, 1.012200, - 0.885028, -0.167970, 0.245294, 1.061860, 0.904639, -0.148336, 0.212689, 1.109340, - 0.922048, -0.126370, 0.179616, 1.150630, 0.936952, -0.102928, 0.146749, 1.188850, - 0.951895, -0.078527, 0.112733, 1.223520, 0.967198, -0.053015, 0.076006, 1.256810, - 0.984405, -0.026490, 0.038318, 1.287620, 1.000210, 0.000700, -0.000200, 1.316560, - 0.032596, -0.000004, 0.176706, 0.000001, 0.032933, -0.000090, 0.178527, 0.000017, - 0.032918, -0.000360, 0.178453, 0.000066, 0.032909, -0.000809, 0.178383, 0.000149, - 0.032918, -0.001438, 0.178394, 0.000266, 0.032942, -0.002247, 0.178517, 0.000417, - 0.032951, -0.003236, 0.178490, 0.000603, 0.033011, -0.004399, 0.178695, 0.000829, - 0.033073, -0.005741, 0.178843, 0.001099, 0.033186, -0.007259, 0.179176, 0.001419, - 0.033344, -0.008953, 0.179618, 0.001800, 0.033567, -0.010822, 0.180238, 0.002253, - 0.033939, -0.012869, 0.181417, 0.002798, 0.034524, -0.015114, 0.183395, 0.003456, - 0.035446, -0.017596, 0.186616, 0.004259, 0.036831, -0.020352, 0.191547, 0.005249, - 0.038611, -0.023411, 0.197508, 0.006470, 0.041030, -0.026851, 0.205395, 0.007981, - 0.044224, -0.030748, 0.215365, 0.009856, 0.047866, -0.035086, 0.225595, 0.012142, - 0.052242, -0.039951, 0.236946, 0.014939, 0.057451, -0.045357, 0.249442, 0.018319, - 0.063121, -0.051286, 0.261222, 0.022364, 0.070112, -0.057927, 0.275418, 0.027242, - 0.077733, -0.065065, 0.288989, 0.032946, 0.086271, -0.072881, 0.302546, 0.039682, - 0.096103, -0.081363, 0.317164, 0.047570, 0.106976, -0.090446, 0.331733, 0.056701, - 0.119175, -0.100105, 0.346610, 0.067202, 0.132919, -0.110375, 0.362249, 0.079259, - 0.147727, -0.121115, 0.376978, 0.092867, 0.163618, -0.132299, 0.390681, 0.108228, - 0.182234, -0.143887, 0.406571, 0.125502, 0.201809, -0.155827, 0.420420, 0.144836, - 0.225041, -0.168357, 0.438411, 0.166706, 0.247621, -0.180040, 0.450368, 0.189909, - 0.270970, -0.191536, 0.460083, 0.215251, 0.296658, -0.203024, 0.469765, 0.243164, - 0.325892, -0.214056, 0.481837, 0.273388, 0.354060, -0.224104, 0.487474, 0.305344, - 0.384372, -0.233489, 0.492773, 0.339741, 0.417490, -0.241874, 0.498451, 0.376287, - 0.450130, -0.248834, 0.499632, 0.414195, 0.481285, -0.254658, 0.495233, 0.454077, - 0.519183, -0.259367, 0.496401, 0.496352, 0.551544, -0.261818, 0.487686, 0.538798, - 0.587349, -0.262964, 0.479453, 0.583626, 0.621679, -0.262128, 0.467709, 0.629451, - 0.654991, -0.258998, 0.452123, 0.675660, 0.686873, -0.254119, 0.433495, 0.723248, - 0.719801, -0.246946, 0.413657, 0.771156, 0.750355, -0.237709, 0.390366, 0.819890, - 0.780033, -0.226549, 0.364947, 0.868601, 0.809254, -0.214186, 0.337256, 0.920034, - 0.836576, -0.199639, 0.307395, 0.971706, 0.861774, -0.183169, 0.275431, 1.024790, - 0.885707, -0.165111, 0.243431, 1.078370, 0.904742, -0.144363, 0.210921, 1.127830, - 0.915604, -0.121305, 0.176470, 1.172540, 0.930959, -0.096212, 0.143106, 1.210120, - 0.948404, -0.069969, 0.108112, 1.244740, 0.967012, -0.042759, 0.070848, 1.277180, - 0.984183, -0.014704, 0.032335, 1.308300, 0.999577, 0.014216, -0.007269, 1.338200, - 0.022923, -0.000003, 0.148623, 0.000000, 0.023219, -0.000076, 0.150540, 0.000012, - 0.023231, -0.000304, 0.150630, 0.000047, 0.023235, -0.000683, 0.150624, 0.000105, - 0.023209, -0.001214, 0.150445, 0.000188, 0.023252, -0.001898, 0.150679, 0.000295, - 0.023283, -0.002732, 0.150789, 0.000428, 0.023337, -0.003713, 0.150995, 0.000591, - 0.023401, -0.004848, 0.151180, 0.000788, 0.023514, -0.006129, 0.151562, 0.001025, - 0.023679, -0.007561, 0.152116, 0.001314, 0.023956, -0.009147, 0.153162, 0.001666, - 0.024433, -0.010904, 0.155133, 0.002102, 0.025139, -0.012861, 0.158035, 0.002644, - 0.026260, -0.015063, 0.162751, 0.003329, 0.027787, -0.017553, 0.168944, 0.004198, - 0.029847, -0.020398, 0.176835, 0.005300, 0.032544, -0.023655, 0.186686, 0.006698, - 0.035558, -0.027298, 0.196248, 0.008427, 0.039284, -0.031446, 0.207352, 0.010585, - 0.043681, -0.036116, 0.219279, 0.013246, 0.048527, -0.041293, 0.230728, 0.016474, - 0.054157, -0.047034, 0.242994, 0.020372, 0.060948, -0.053500, 0.257042, 0.025095, - 0.068523, -0.060541, 0.271020, 0.030686, 0.076804, -0.068055, 0.284060, 0.037193, - 0.086484, -0.076501, 0.299186, 0.044979, 0.096941, -0.085267, 0.313200, 0.053832, - 0.108478, -0.094733, 0.327138, 0.064115, 0.121705, -0.104810, 0.342345, 0.075918, - 0.136743, -0.115474, 0.358472, 0.089412, 0.152986, -0.126536, 0.374067, 0.104562, - 0.170397, -0.138061, 0.388267, 0.121632, 0.191392, -0.150203, 0.406467, 0.140996, - 0.211566, -0.161751, 0.418641, 0.161696, 0.233567, -0.173407, 0.430418, 0.184557, - 0.257769, -0.185397, 0.442770, 0.210092, 0.285310, -0.197048, 0.457191, 0.237827, - 0.311726, -0.207840, 0.464712, 0.267253, 0.340537, -0.218345, 0.472539, 0.299332, - 0.372921, -0.228306, 0.482331, 0.333988, 0.402924, -0.236665, 0.484378, 0.369722, - 0.434475, -0.244097, 0.484717, 0.407836, 0.469736, -0.250547, 0.487093, 0.448465, - 0.505045, -0.255110, 0.485575, 0.490263, 0.540262, -0.258444, 0.481225, 0.534495, - 0.576347, -0.259903, 0.473481, 0.579451, 0.608656, -0.259572, 0.460300, 0.625604, - 0.646679, -0.257908, 0.450341, 0.674511, 0.679902, -0.253663, 0.431561, 0.723269, - 0.714159, -0.247419, 0.412684, 0.773263, 0.745345, -0.239122, 0.389388, 0.824182, - 0.778248, -0.228837, 0.365361, 0.876634, 0.807208, -0.216197, 0.337667, 0.929450, - 0.835019, -0.201772, 0.307197, 0.985261, 0.860261, -0.185291, 0.274205, 1.042990, - 0.877601, -0.165809, 0.240178, 1.098160, 0.898211, -0.143897, 0.207571, 1.146940, - 0.915789, -0.119513, 0.174904, 1.190080, 0.931831, -0.093292, 0.141423, 1.229700, - 0.949244, -0.065653, 0.105603, 1.265530, 0.967527, -0.037026, 0.067955, 1.299860, - 0.984139, -0.007301, 0.028313, 1.332520, 0.999713, 0.023465, -0.012179, 1.363970, - 0.015213, -0.000002, 0.122795, 0.000000, 0.015165, -0.000062, 0.122399, 0.000008, - 0.015118, -0.000246, 0.122023, 0.000030, 0.015120, -0.000553, 0.122030, 0.000069, - 0.015125, -0.000984, 0.122037, 0.000122, 0.015143, -0.001538, 0.122140, 0.000193, - 0.015171, -0.002210, 0.122237, 0.000281, 0.015211, -0.003007, 0.122380, 0.000391, - 0.015288, -0.003925, 0.122700, 0.000526, 0.015412, -0.004966, 0.123244, 0.000694, - 0.015620, -0.006133, 0.124228, 0.000905, 0.015966, -0.007441, 0.125945, 0.001173, - 0.016567, -0.008925, 0.129098, 0.001519, 0.017487, -0.010627, 0.133865, 0.001970, - 0.018839, -0.012604, 0.140682, 0.002564, 0.020554, -0.014881, 0.148534, 0.003336, - 0.022673, -0.017512, 0.157381, 0.004337, 0.025188, -0.020527, 0.166685, 0.005617, - 0.028363, -0.024032, 0.177796, 0.007256, 0.031869, -0.027943, 0.188251, 0.009288, - 0.036104, -0.032431, 0.200038, 0.011835, 0.040666, -0.037353, 0.210685, 0.014915, - 0.046385, -0.043013, 0.224182, 0.018725, 0.052570, -0.049101, 0.236340, 0.023228, - 0.059808, -0.055918, 0.250013, 0.028652, 0.067944, -0.063366, 0.263981, 0.035063, - 0.077118, -0.071460, 0.278072, 0.042588, 0.088127, -0.080350, 0.295110, 0.051449, - 0.099663, -0.089690, 0.309976, 0.061577, 0.112702, -0.099644, 0.325611, 0.073214, - 0.126488, -0.109829, 0.339321, 0.086232, 0.142625, -0.120859, 0.355740, 0.101275, - 0.159530, -0.131956, 0.369845, 0.117892, 0.176991, -0.143145, 0.381460, 0.136205, - 0.199715, -0.155292, 0.400520, 0.157252, 0.220787, -0.167066, 0.412055, 0.179966, - 0.243697, -0.178396, 0.423133, 0.204418, 0.272106, -0.190433, 0.439524, 0.232141, - 0.297637, -0.201265, 0.447041, 0.261109, 0.325273, -0.211834, 0.454488, 0.292627, - 0.357219, -0.221889, 0.465004, 0.326669, 0.387362, -0.230729, 0.468527, 0.362426, - 0.423131, -0.239240, 0.475836, 0.401533, 0.455430, -0.246067, 0.475017, 0.441902, - 0.493393, -0.251557, 0.478017, 0.484239, 0.526253, -0.255571, 0.470900, 0.528586, - 0.560554, -0.257752, 0.463167, 0.574346, 0.599306, -0.258076, 0.456452, 0.621655, - 0.634541, -0.256471, 0.443725, 0.670492, 0.668907, -0.253283, 0.428719, 0.721943, - 0.705619, -0.247562, 0.411348, 0.772477, 0.739034, -0.240626, 0.388939, 0.826400, - 0.771408, -0.231493, 0.364250, 0.881702, 0.803312, -0.220125, 0.337321, 0.938500, - 0.828457, -0.206645, 0.305364, 0.997437, 0.854819, -0.190664, 0.273715, 1.056930, - 0.878666, -0.171429, 0.242218, 1.112510, 0.898404, -0.149235, 0.209556, 1.163980, - 0.917416, -0.124350, 0.176863, 1.210140, 0.933133, -0.097270, 0.142775, 1.251780, - 0.950660, -0.068361, 0.106735, 1.290280, 0.968589, -0.037872, 0.068161, 1.327030, - 0.984776, -0.006057, 0.027397, 1.361580, 0.999940, 0.026328, -0.013812, 1.394300, - 0.008674, -0.000002, 0.092898, 0.000000, 0.008640, -0.000047, 0.092524, 0.000004, - 0.008646, -0.000187, 0.092581, 0.000017, 0.008641, -0.000420, 0.092490, 0.000039, - 0.008639, -0.000746, 0.092459, 0.000070, 0.008685, -0.001165, 0.092900, 0.000111, - 0.008697, -0.001677, 0.092853, 0.000164, 0.008743, -0.002281, 0.093091, 0.000231, - 0.008827, -0.002979, 0.093568, 0.000317, 0.008989, -0.003776, 0.094617, 0.000430, - 0.009293, -0.004692, 0.096741, 0.000580, 0.009783, -0.005755, 0.100084, 0.000784, - 0.010575, -0.007015, 0.105447, 0.001063, 0.011695, -0.008518, 0.112494, 0.001447, - 0.013042, -0.010276, 0.119876, 0.001964, 0.014837, -0.012381, 0.129034, 0.002664, - 0.016872, -0.014820, 0.137812, 0.003584, 0.019369, -0.017656, 0.147696, 0.004781, - 0.022269, -0.020921, 0.157795, 0.006317, 0.025689, -0.024665, 0.168431, 0.008263, - 0.029469, -0.028860, 0.178587, 0.010671, 0.034041, -0.033644, 0.190251, 0.013663, - 0.039392, -0.039033, 0.202999, 0.017327, 0.045395, -0.045009, 0.215655, 0.021745, - 0.052194, -0.051546, 0.228686, 0.026994, 0.060028, -0.058817, 0.242838, 0.033272, - 0.069240, -0.066723, 0.258145, 0.040646, 0.079383, -0.075240, 0.273565, 0.049224, - 0.090230, -0.084185, 0.287735, 0.059011, 0.102014, -0.093648, 0.301161, 0.070202, - 0.116054, -0.103967, 0.317438, 0.083200, 0.131910, -0.114622, 0.334166, 0.097795, - 0.148239, -0.125452, 0.348192, 0.113985, 0.165809, -0.136453, 0.361094, 0.131928, - 0.184616, -0.147648, 0.373534, 0.151811, 0.207491, -0.159607, 0.391010, 0.174476, - 0.230106, -0.171119, 0.402504, 0.198798, 0.257036, -0.182906, 0.418032, 0.225796, - 0.281172, -0.193605, 0.425468, 0.254027, 0.312034, -0.204771, 0.440379, 0.285713, - 0.340402, -0.214988, 0.445406, 0.319196, 0.370231, -0.224711, 0.449680, 0.355370, - 0.407105, -0.233516, 0.460747, 0.393838, 0.439037, -0.240801, 0.460624, 0.433747, - 0.477810, -0.247620, 0.465957, 0.477234, 0.510655, -0.251823, 0.460054, 0.520440, - 0.550584, -0.255552, 0.459172, 0.567853, 0.585872, -0.257036, 0.450311, 0.615943, - 0.620466, -0.257535, 0.437763, 0.667693, 0.660496, -0.255248, 0.426639, 0.718988, - 0.695578, -0.251141, 0.409185, 0.772503, 0.732176, -0.244718, 0.390150, 0.827023, - 0.760782, -0.236782, 0.362594, 0.885651, 0.794220, -0.225923, 0.337110, 0.943756, - 0.824521, -0.213855, 0.308272, 1.008740, 0.854964, -0.197723, 0.278529, 1.067640, - 0.878065, -0.179209, 0.246208, 1.128360, 0.899834, -0.157569, 0.213290, 1.183180, - 0.918815, -0.133206, 0.181038, 1.231610, 0.934934, -0.106545, 0.146993, 1.276440, - 0.952115, -0.078057, 0.111175, 1.318420, 0.969060, -0.047828, 0.072855, 1.358390, - 0.985178, -0.016001, 0.032579, 1.396970, 1.000390, 0.017313, -0.009526, 1.433120, - 0.003841, -0.000001, 0.061358, 0.000000, 0.003900, -0.000031, 0.062292, 0.000002, - 0.003900, -0.000126, 0.062263, 0.000008, 0.003895, -0.000282, 0.062066, 0.000018, - 0.003916, -0.000503, 0.062469, 0.000032, 0.003927, -0.000784, 0.062511, 0.000052, - 0.003961, -0.001129, 0.062817, 0.000078, 0.004019, -0.001538, 0.063329, 0.000114, - 0.004150, -0.002021, 0.064644, 0.000164, 0.004412, -0.002600, 0.067389, 0.000238, - 0.004844, -0.003310, 0.071653, 0.000346, 0.005491, -0.004190, 0.077500, 0.000506, - 0.006363, -0.005273, 0.084476, 0.000739, 0.007466, -0.006604, 0.092133, 0.001073, - 0.008766, -0.008188, 0.099707, 0.001537, 0.010313, -0.010081, 0.107433, 0.002172, - 0.012331, -0.012364, 0.117088, 0.003034, 0.014627, -0.015001, 0.126438, 0.004160, - 0.017229, -0.018053, 0.135672, 0.005615, 0.020425, -0.021596, 0.146244, 0.007478, - 0.024160, -0.025623, 0.157481, 0.009810, 0.028469, -0.030221, 0.169125, 0.012715, - 0.033445, -0.035333, 0.181659, 0.016245, 0.039125, -0.041085, 0.194400, 0.020542, - 0.045472, -0.047345, 0.207082, 0.025633, 0.053098, -0.054286, 0.221656, 0.031704, - 0.061536, -0.061838, 0.236036, 0.038832, 0.070336, -0.069763, 0.248398, 0.046974, - 0.081039, -0.078476, 0.263611, 0.056525, 0.092014, -0.087349, 0.275857, 0.067172, - 0.105584, -0.097365, 0.292555, 0.079811, 0.119506, -0.107271, 0.306333, 0.093594, - 0.134434, -0.117608, 0.318888, 0.109106, 0.153399, -0.128938, 0.337552, 0.127074, - 0.171258, -0.139944, 0.349955, 0.146430, 0.191059, -0.151288, 0.361545, 0.168000, - 0.215069, -0.163018, 0.378421, 0.192082, 0.237838, -0.174226, 0.388790, 0.217838, - 0.266965, -0.186063, 0.405857, 0.246931, 0.292827, -0.196909, 0.414146, 0.277505, - 0.324352, -0.207473, 0.426955, 0.310711, 0.354427, -0.217713, 0.433429, 0.346794, - 0.389854, -0.227183, 0.443966, 0.385237, 0.420749, -0.235131, 0.444710, 0.424955, - 0.459597, -0.242786, 0.451729, 0.468446, 0.495316, -0.248767, 0.450720, 0.513422, - 0.534903, -0.253351, 0.450924, 0.560618, 0.572369, -0.256277, 0.445266, 0.609677, - 0.612383, -0.257600, 0.438798, 0.660995, 0.644037, -0.256931, 0.421693, 0.713807, - 0.686749, -0.254036, 0.410900, 0.767616, 0.719814, -0.249785, 0.390151, 0.825330, - 0.754719, -0.244283, 0.367847, 0.888311, 0.792022, -0.235076, 0.345013, 0.948177, - 0.822404, -0.225061, 0.316193, 1.016610, 0.853084, -0.211113, 0.287013, 1.080750, - 0.879871, -0.194490, 0.255424, 1.145010, 0.901655, -0.174023, 0.222879, 1.202030, - 0.919957, -0.150900, 0.189890, 1.256980, 0.938412, -0.124923, 0.156060, 1.305880, - 0.953471, -0.096814, 0.120512, 1.352900, 0.970451, -0.066734, 0.082851, 1.398600, - 0.985522, -0.034734, 0.042446, 1.441480, 1.000990, -0.001022, 0.000679, 1.483980, - 0.000965, -0.000001, 0.030641, 0.000000, 0.000992, -0.000016, 0.031464, 0.000000, - 0.000991, -0.000063, 0.031363, 0.000002, 0.000975, -0.000141, 0.030360, 0.000005, - 0.000998, -0.000253, 0.031496, 0.000009, 0.001022, -0.000397, 0.031996, 0.000015, - 0.001079, -0.000578, 0.033138, 0.000025, 0.001216, -0.000817, 0.035940, 0.000042, - 0.001445, -0.001138, 0.039965, 0.000072, 0.001788, -0.001570, 0.045056, 0.000124, - 0.002257, -0.002141, 0.050803, 0.000209, 0.002856, -0.002877, 0.056844, 0.000342, - 0.003599, -0.003803, 0.063089, 0.000544, 0.004555, -0.004963, 0.070220, 0.000842, - 0.005691, -0.006379, 0.077343, 0.001267, 0.007169, -0.008135, 0.086084, 0.001866, - 0.008853, -0.010195, 0.094408, 0.002670, 0.010932, -0.012639, 0.103951, 0.003740, - 0.013370, -0.015488, 0.113786, 0.005130, 0.016153, -0.018732, 0.123477, 0.006889, - 0.019427, -0.022465, 0.133986, 0.009106, 0.023097, -0.026598, 0.143979, 0.011807, - 0.027363, -0.031285, 0.154645, 0.015127, 0.032390, -0.036595, 0.166765, 0.019179, - 0.037922, -0.042291, 0.177932, 0.023924, 0.044750, -0.048747, 0.191670, 0.029657, - 0.051939, -0.055640, 0.203224, 0.036292, 0.059946, -0.063165, 0.215652, 0.044059, - 0.070243, -0.071431, 0.232089, 0.053162, 0.080690, -0.080061, 0.245258, 0.063456, - 0.092319, -0.089281, 0.258609, 0.075248, 0.106938, -0.099310, 0.276654, 0.088891, - 0.121238, -0.109575, 0.289847, 0.104055, 0.138817, -0.120461, 0.307566, 0.121266, - 0.155950, -0.131209, 0.320117, 0.139944, 0.178418, -0.143049, 0.339677, 0.161591, - 0.197875, -0.154074, 0.349886, 0.184303, 0.224368, -0.166307, 0.369352, 0.210669, - 0.252213, -0.178051, 0.386242, 0.238895, 0.277321, -0.189335, 0.395294, 0.269182, - 0.310332, -0.200683, 0.412148, 0.302508, 0.338809, -0.210856, 0.418266, 0.337264, - 0.372678, -0.220655, 0.428723, 0.374881, 0.405632, -0.230053, 0.433887, 0.415656, - 0.442293, -0.237993, 0.439911, 0.457982, 0.477256, -0.244897, 0.440175, 0.502831, - 0.515592, -0.250657, 0.441079, 0.550277, 0.550969, -0.255459, 0.435219, 0.601102, - 0.592883, -0.257696, 0.432882, 0.651785, 0.629092, -0.259894, 0.421054, 0.708961, - 0.672033, -0.258592, 0.411770, 0.763806, 0.709147, -0.256525, 0.395267, 0.824249, - 0.745367, -0.254677, 0.375013, 0.895100, 0.784715, -0.247892, 0.353906, 0.959317, - 0.818107, -0.240162, 0.327801, 1.031530, 0.847895, -0.229741, 0.298821, 1.106010, - 0.879603, -0.213084, 0.269115, 1.164000, 0.902605, -0.195242, 0.236606, 1.228540, - 0.922788, -0.174505, 0.203442, 1.290170, 0.944831, -0.150169, 0.169594, 1.341570, - 0.959656, -0.124099, 0.135909, 1.395600, 0.972399, -0.096063, 0.099056, 1.451280, - 0.986549, -0.065710, 0.060235, 1.503120, 1.000130, -0.033356, 0.018669, 1.553640, - 0.000006, -0.000000, 0.007783, 0.000000, 0.000000, -0.000000, 0.000028, 0.000000, - 0.000001, -0.000002, 0.000250, 0.000000, 0.000004, -0.000006, 0.000357, 0.000000, - 0.000008, -0.000017, 0.000516, 0.000000, 0.000024, -0.000045, 0.001022, 0.000001, - 0.000046, -0.000089, 0.001443, 0.000004, 0.000097, -0.000178, 0.002419, 0.000010, - 0.000171, -0.000314, 0.003549, 0.000024, 0.000293, -0.000520, 0.005138, 0.000050, - 0.000790, -0.001182, 0.023862, 0.000139, 0.001141, -0.001718, 0.028669, 0.000244, - 0.001761, -0.002497, 0.036857, 0.000421, 0.002223, -0.003337, 0.040047, 0.000657, - 0.003434, -0.004820, 0.053575, 0.001093, 0.004276, -0.006008, 0.057099, 0.001553, - 0.004614, -0.007376, 0.055108, 0.002150, 0.006957, -0.009714, 0.071577, 0.003165, - 0.008676, -0.012094, 0.079331, 0.004370, 0.010669, -0.014820, 0.086939, 0.005896, - 0.014035, -0.018350, 0.101572, 0.007988, 0.016894, -0.022006, 0.110180, 0.010423, - 0.020197, -0.026157, 0.119041, 0.013417, 0.025470, -0.031278, 0.135404, 0.017301, - 0.029838, -0.036247, 0.143700, 0.021543, 0.035159, -0.042237, 0.155120, 0.026888, - 0.042769, -0.048871, 0.171280, 0.033235, 0.049485, -0.055800, 0.181813, 0.040444, - 0.059239, -0.063558, 0.198745, 0.049004, 0.068146, -0.071838, 0.210497, 0.058824, - 0.080475, -0.080930, 0.228864, 0.070283, 0.094220, -0.090649, 0.247008, 0.083401, - 0.106777, -0.100216, 0.258812, 0.097595, 0.124471, -0.110827, 0.278617, 0.114162, - 0.138389, -0.121193, 0.287049, 0.131983, 0.159543, -0.132530, 0.307151, 0.152541, - 0.176432, -0.143611, 0.315640, 0.174673, 0.201723, -0.155480, 0.335380, 0.199842, - 0.229721, -0.167166, 0.355256, 0.227097, 0.250206, -0.178238, 0.360047, 0.256014, - 0.282118, -0.189905, 0.378761, 0.288550, 0.312821, -0.201033, 0.391810, 0.323348, - 0.341482, -0.211584, 0.397716, 0.360564, 0.377368, -0.221314, 0.410141, 0.400004, - 0.418229, -0.230474, 0.423485, 0.442371, 0.444881, -0.239443, 0.418874, 0.488796, - 0.488899, -0.245987, 0.427545, 0.535012, 0.520317, -0.253948, 0.422147, 0.589678, - 0.568566, -0.256616, 0.427190, 0.637683, 0.599607, -0.263760, 0.415114, 0.703363, - 0.642220, -0.268687, 0.408715, 0.771363, 0.685698, -0.269400, 0.399722, 0.835740, - 0.732327, -0.266642, 0.388651, 0.897764, 0.769873, -0.267712, 0.369198, 0.983312, - 0.806733, -0.263479, 0.346802, 1.062220, 0.843466, -0.254575, 0.321368, 1.134770, - 0.873008, -0.242749, 0.292110, 1.207120, 0.908438, -0.227250, 0.262143, 1.274650, - 0.936321, -0.207621, 0.228876, 1.332030, 0.950353, -0.187932, 0.194840, 1.404390, - 0.964420, -0.165154, 0.163178, 1.473200, 0.979856, -0.139302, 0.127531, 1.535740, - 0.982561, -0.111340, 0.090346, 1.599820, 0.996389, -0.080812, 0.048901, 1.657700, + 1.000000, 0.000000, 0.000000, 0.000020, 1.000000, 0.000000, 0.000000, 0.000504, + 1.000000, 0.000000, 0.000000, 0.002016, 1.000000, 0.000000, 0.000000, 0.004535, + 1.000000, 0.000000, 0.000000, 0.008063, 1.000000, 0.000000, 0.000000, 0.012598, + 1.000000, 0.000000, 0.000000, 0.018141, 1.000000, 0.000000, 0.000000, 0.024692, + 1.000000, 0.000000, 0.000000, 0.032253, 1.000000, 0.000000, 0.000000, 0.040821, + 1.000000, 0.000000, 0.000000, 0.050400, 1.000000, 0.000000, 0.000000, 0.060989, + 1.000000, 0.000000, 0.000000, 0.072591, 1.000000, 0.000000, 0.000000, 0.085206, + 1.000000, 0.000000, 0.000000, 0.098836, 1.000000, 0.000000, 0.000000, 0.113484, + 1.000000, 0.000000, 0.000000, 0.129153, 1.000000, 0.000000, 0.000000, 0.145839, + 1.000000, 0.000000, 0.000000, 0.163548, 1.000000, 0.000000, 0.000000, 0.182266, + 1.000000, 0.000000, 0.000000, 0.201942, 1.000000, 0.000000, 0.000000, 0.222314, + 1.000000, 0.000000, 0.000000, 0.241906, 1.000000, 0.000000, 0.000000, 0.262314, + 1.000000, 0.000000, 0.000000, 0.285754, 1.000000, 0.000000, 0.000000, 0.310159, + 1.000000, 0.000000, 0.000000, 0.335426, 1.000000, 0.000000, 0.000000, 0.361341, + 1.000000, 0.000000, 0.000000, 0.387445, 1.000000, 0.000000, 0.000000, 0.412784, + 1.000000, 0.000000, 0.000000, 0.438197, 1.000000, 0.000000, 0.000000, 0.466966, + 1.000000, 0.000000, 0.000000, 0.495590, 1.000000, 0.000000, 0.000000, 0.523448, + 1.000000, 0.000000, 0.000000, 0.549938, 1.000000, 0.000000, 0.000000, 0.579790, + 1.000000, 0.000000, 0.000000, 0.608746, 1.000000, 0.000000, 0.000000, 0.636185, + 1.000000, 0.000000, 0.000000, 0.664748, 1.000000, 0.000000, 0.000000, 0.693130, + 1.000000, 0.000000, 0.000000, 0.719660, 1.000000, 0.000000, 0.000000, 0.747662, + 1.000000, 0.000000, 0.000000, 0.774023, 1.000000, 0.000000, 0.000000, 0.799775, + 1.000000, 0.000000, 0.000000, 0.825274, 1.000000, 0.000000, 0.000000, 0.849156, + 1.000000, 0.000000, 0.000000, 0.873248, 1.000000, 0.000000, 0.000000, 0.895320, + 1.000000, 0.000000, 0.000000, 0.917565, 1.000000, 0.000000, 0.000000, 0.937863, + 1.000000, 0.000000, 0.000000, 0.958139, 1.000000, 0.000000, 0.000000, 0.976563, + 1.000000, 0.000000, 0.000000, 0.994658, 1.000000, 0.000000, 0.000000, 1.011200, + 1.000000, 0.000000, 0.000000, 1.027120, 1.000000, 0.000000, 0.000000, 1.041890, + 1.000000, 0.000000, 0.000000, 1.055680, 1.000000, 0.000000, 0.000000, 1.068770, + 1.000000, 0.000000, 0.000000, 1.080580, 1.000000, 0.000000, 0.000000, 1.091940, + 1.000000, 0.000000, 0.000000, 1.101910, 1.000000, 0.000000, 0.000000, 1.111610, + 1.000000, 0.000000, 0.000000, 1.119900, 1.000000, 0.000000, 0.000000, 1.128130, + 0.999547, -0.000000, 0.022442, 0.000020, 0.999495, -0.000011, 0.022441, 0.000504, + 0.999496, -0.000045, 0.022441, 0.002015, 0.999496, -0.000102, 0.022441, 0.004533, + 0.999495, -0.000181, 0.022441, 0.008058, 0.999497, -0.000283, 0.022441, 0.012591, + 0.999496, -0.000407, 0.022441, 0.018132, 0.999498, -0.000554, 0.022441, 0.024680, + 0.999499, -0.000724, 0.022441, 0.032236, 0.999495, -0.000916, 0.022440, 0.040801, + 0.999499, -0.001131, 0.022441, 0.050375, 0.999494, -0.001369, 0.022440, 0.060959, + 0.999489, -0.001629, 0.022440, 0.072554, 0.999489, -0.001912, 0.022441, 0.085162, + 0.999498, -0.002218, 0.022441, 0.098787, 0.999492, -0.002546, 0.022441, 0.113426, + 0.999507, -0.002898, 0.022442, 0.129088, 0.999494, -0.003272, 0.022439, 0.145767, + 0.999546, -0.003667, 0.022442, 0.163472, 0.999543, -0.004082, 0.022439, 0.182182, + 0.999499, -0.004501, 0.022434, 0.201843, 0.999503, -0.004837, 0.022420, 0.222198, + 0.999546, -0.004529, 0.022315, 0.241714, 0.999508, -0.005874, 0.022433, 0.262184, + 0.999509, -0.006388, 0.022427, 0.285609, 0.999501, -0.006910, 0.022417, 0.309998, + 0.999539, -0.007420, 0.022399, 0.335262, 0.999454, -0.007863, 0.022367, 0.361154, + 0.999529, -0.008119, 0.022283, 0.387224, 0.999503, -0.007999, 0.022106, 0.412520, + 0.999561, -0.009528, 0.022306, 0.438006, 0.999557, -0.009913, 0.022207, 0.466735, + 0.999541, -0.010094, 0.022040, 0.495332, 0.999562, -0.009968, 0.021807, 0.523197, + 0.999556, -0.010503, 0.021710, 0.550223, 0.999561, -0.011419, 0.021722, 0.579498, + 0.999588, -0.011182, 0.021336, 0.608416, 0.999633, -0.010773, 0.020869, 0.635965, + 0.999527, -0.012167, 0.021015, 0.664476, 0.999508, -0.011600, 0.020431, 0.692786, + 0.999568, -0.011560, 0.019979, 0.719709, 0.999671, -0.012112, 0.019741, 0.747370, + 0.999688, -0.011077, 0.018885, 0.773692, 0.999620, -0.012237, 0.018845, 0.799534, + 0.999823, -0.011033, 0.017800, 0.825046, 0.999599, -0.011492, 0.017422, 0.849075, + 0.999619, -0.010592, 0.016435, 0.872999, 0.999613, -0.010599, 0.015823, 0.895371, + 0.999640, -0.009799, 0.014813, 0.917364, 0.999770, -0.009672, 0.014072, 0.938002, + 0.999726, -0.008692, 0.012954, 0.957917, 0.999730, -0.008669, 0.012233, 0.976557, + 0.999773, -0.007320, 0.010896, 0.994459, 0.999811, -0.007560, 0.010271, 1.011180, + 0.999862, -0.005837, 0.008788, 1.027010, 0.999835, -0.006314, 0.008275, 1.041860, + 0.999871, -0.004508, 0.006746, 1.055690, 0.999867, -0.004861, 0.006210, 1.068610, + 0.999939, -0.003221, 0.004783, 1.080640, 0.999918, -0.003182, 0.004064, 1.091810, + 1.000030, -0.001933, 0.002807, 1.102070, 0.999928, -0.001537, 0.001987, 1.111520, + 0.999933, -0.000624, 0.000918, 1.120090, 1.000000, -0.000001, 0.000001, 1.128130, + 0.997866, -0.000001, 0.044833, 0.000020, 0.997987, -0.000023, 0.044839, 0.000503, + 0.997987, -0.000090, 0.044839, 0.002012, 0.997985, -0.000203, 0.044839, 0.004526, + 0.997986, -0.000362, 0.044839, 0.008046, 0.997987, -0.000565, 0.044839, 0.012572, + 0.997988, -0.000813, 0.044839, 0.018104, 0.997984, -0.001107, 0.044839, 0.024643, + 0.997985, -0.001446, 0.044839, 0.032188, 0.997987, -0.001830, 0.044839, 0.040739, + 0.997983, -0.002260, 0.044839, 0.050299, 0.997991, -0.002735, 0.044839, 0.060867, + 0.997984, -0.003255, 0.044838, 0.072444, 0.998002, -0.003820, 0.044839, 0.085035, + 0.997997, -0.004431, 0.044840, 0.098637, 0.998007, -0.005088, 0.044840, 0.113255, + 0.998008, -0.005790, 0.044840, 0.128891, 0.998003, -0.006537, 0.044838, 0.145548, + 0.997983, -0.007327, 0.044836, 0.163221, 0.997985, -0.008155, 0.044836, 0.181899, + 0.998005, -0.008990, 0.044829, 0.201533, 0.998026, -0.009644, 0.044793, 0.221821, + 0.998055, -0.009227, 0.044611, 0.241282, 0.998040, -0.011736, 0.044825, 0.261791, + 0.998048, -0.012763, 0.044816, 0.285181, 0.998088, -0.013806, 0.044800, 0.309540, + 0.998058, -0.014821, 0.044767, 0.334751, 0.998099, -0.015700, 0.044697, 0.360610, + 0.998116, -0.016198, 0.044512, 0.386603, 0.998195, -0.015945, 0.044171, 0.411844, + 0.998168, -0.018395, 0.044425, 0.437730, 0.998184, -0.019791, 0.044381, 0.466009, + 0.998251, -0.020143, 0.044069, 0.494574, 0.998305, -0.019885, 0.043563, 0.522405, + 0.998273, -0.021058, 0.043414, 0.549967, 0.998254, -0.022790, 0.043394, 0.578655, + 0.998349, -0.022311, 0.042653, 0.607580, 0.998430, -0.022309, 0.042000, 0.635524, + 0.998373, -0.024114, 0.041899, 0.663621, 0.998425, -0.023145, 0.040812, 0.691906, + 0.998504, -0.023368, 0.040057, 0.719339, 0.998443, -0.024165, 0.039463, 0.746430, + 0.998480, -0.022871, 0.038000, 0.773086, 0.998569, -0.023519, 0.037232, 0.798988, + 0.998619, -0.022311, 0.035647, 0.824249, 0.998594, -0.022311, 0.034523, 0.848808, + 0.998622, -0.021343, 0.032889, 0.872270, 0.998669, -0.020791, 0.031437, 0.895157, + 0.998705, -0.019842, 0.029693, 0.916769, 0.998786, -0.018917, 0.027963, 0.937773, + 0.998888, -0.017881, 0.026160, 0.957431, 0.999060, -0.016685, 0.024216, 0.976495, + 0.999038, -0.015546, 0.022264, 0.994169, 0.999237, -0.014135, 0.020197, 1.011120, + 0.999378, -0.012932, 0.018174, 1.026920, 0.999433, -0.011319, 0.015990, 1.041740, + 0.999439, -0.010124, 0.014039, 1.055590, 0.999614, -0.008375, 0.011783, 1.068520, + 0.999722, -0.007218, 0.009837, 1.080690, 0.999817, -0.005541, 0.007690, 1.091760, + 0.999830, -0.004270, 0.005782, 1.102110, 0.999964, -0.002739, 0.003745, 1.111520, + 1.000010, -0.001367, 0.001872, 1.120310, 0.999946, 0.000039, -0.000029, 1.128040, + 0.995847, -0.000001, 0.067179, 0.000020, 0.995464, -0.000034, 0.067153, 0.000502, + 0.995470, -0.000135, 0.067153, 0.002006, 0.995471, -0.000305, 0.067153, 0.004515, + 0.995470, -0.000541, 0.067153, 0.008026, 0.995471, -0.000846, 0.067153, 0.012541, + 0.995470, -0.001218, 0.067153, 0.018059, 0.995470, -0.001658, 0.067153, 0.024581, + 0.995463, -0.002166, 0.067153, 0.032106, 0.995468, -0.002741, 0.067153, 0.040637, + 0.995474, -0.003384, 0.067153, 0.050172, 0.995473, -0.004096, 0.067153, 0.060713, + 0.995478, -0.004875, 0.067153, 0.072262, 0.995476, -0.005721, 0.067153, 0.084819, + 0.995477, -0.006637, 0.067154, 0.098388, 0.995498, -0.007620, 0.067154, 0.112972, + 0.995509, -0.008671, 0.067154, 0.128568, 0.995509, -0.009790, 0.067153, 0.145183, + 0.995503, -0.010972, 0.067149, 0.162808, 0.995501, -0.012211, 0.067146, 0.181441, + 0.995530, -0.013456, 0.067137, 0.201015, 0.995550, -0.014391, 0.067083, 0.221206, + 0.995580, -0.014351, 0.066888, 0.240813, 0.995577, -0.017400, 0.067105, 0.261257, + 0.995602, -0.019111, 0.067118, 0.284467, 0.995623, -0.020671, 0.067095, 0.308765, + 0.995658, -0.022184, 0.067047, 0.333905, 0.995705, -0.023483, 0.066942, 0.359677, + 0.995719, -0.024193, 0.066671, 0.385554, 0.995786, -0.024354, 0.066266, 0.410951, + 0.995887, -0.027187, 0.066437, 0.437163, 0.995944, -0.029601, 0.066493, 0.464842, + 0.996004, -0.030104, 0.066010, 0.493320, 0.996128, -0.029831, 0.065269, 0.521131, + 0.996253, -0.031643, 0.065074, 0.549167, 0.996244, -0.033904, 0.064943, 0.577370, + 0.996309, -0.033329, 0.063893, 0.606073, 0.996417, -0.033894, 0.063085, 0.634527, + 0.996372, -0.035310, 0.062508, 0.662560, 0.996542, -0.034894, 0.061199, 0.690516, + 0.996568, -0.035161, 0.060069, 0.718317, 0.996711, -0.035432, 0.058852, 0.745280, + 0.996671, -0.034951, 0.057190, 0.772061, 0.996865, -0.034562, 0.055532, 0.798089, + 0.996802, -0.034257, 0.053782, 0.823178, 0.996992, -0.033086, 0.051610, 0.847949, + 0.996944, -0.032467, 0.049554, 0.871431, 0.997146, -0.030954, 0.047030, 0.894357, + 0.997189, -0.029937, 0.044604, 0.916142, 0.997471, -0.028139, 0.041881, 0.937193, + 0.997515, -0.026870, 0.039182, 0.957000, 0.997812, -0.024717, 0.036134, 0.975936, + 0.998027, -0.023353, 0.033395, 0.993910, 0.998233, -0.020984, 0.030192, 1.010750, + 0.998481, -0.019431, 0.027271, 1.026690, 0.998859, -0.016973, 0.024016, 1.041730, + 0.998940, -0.015232, 0.021052, 1.055510, 0.999132, -0.012750, 0.017863, 1.068560, + 0.999369, -0.010828, 0.014787, 1.080540, 0.999549, -0.008459, 0.011619, 1.091850, + 0.999805, -0.006394, 0.008672, 1.102070, 0.999850, -0.004146, 0.005668, 1.111700, + 0.999912, -0.002074, 0.002776, 1.120220, 1.000010, 0.000087, -0.000054, 1.128320, + 0.991943, -0.000002, 0.089338, 0.000020, 0.991952, -0.000045, 0.089339, 0.000500, + 0.991956, -0.000180, 0.089339, 0.001999, 0.991955, -0.000405, 0.089339, 0.004499, + 0.991953, -0.000720, 0.089339, 0.007998, 0.991955, -0.001125, 0.089339, 0.012496, + 0.991957, -0.001621, 0.089340, 0.017995, 0.991958, -0.002206, 0.089340, 0.024494, + 0.991947, -0.002881, 0.089339, 0.031993, 0.991962, -0.003647, 0.089340, 0.040493, + 0.991965, -0.004503, 0.089340, 0.049995, 0.991980, -0.005449, 0.089341, 0.060499, + 0.991970, -0.006485, 0.089340, 0.072007, 0.991976, -0.007612, 0.089341, 0.084521, + 0.991980, -0.008829, 0.089341, 0.098041, 0.991982, -0.010137, 0.089340, 0.112571, + 0.992008, -0.011535, 0.089342, 0.128115, 0.992026, -0.013023, 0.089341, 0.144672, + 0.992064, -0.014597, 0.089342, 0.162241, 0.992041, -0.016242, 0.089336, 0.180801, + 0.992086, -0.017889, 0.089321, 0.200302, 0.992157, -0.019037, 0.089240, 0.220332, + 0.992181, -0.019558, 0.089053, 0.240144, 0.992175, -0.022726, 0.089215, 0.260728, + 0.992210, -0.025420, 0.089304, 0.283473, 0.992220, -0.027488, 0.089270, 0.307673, + 0.992317, -0.029490, 0.089203, 0.332729, 0.992374, -0.031186, 0.089058, 0.358387, + 0.992505, -0.032066, 0.088699, 0.384102, 0.992568, -0.032972, 0.088320, 0.409767, + 0.992675, -0.036006, 0.088360, 0.436145, 0.992746, -0.039290, 0.088459, 0.463217, + 0.992873, -0.039934, 0.087829, 0.491557, 0.992934, -0.040231, 0.087011, 0.519516, + 0.993091, -0.042201, 0.086586, 0.547741, 0.993259, -0.044350, 0.086194, 0.575792, + 0.993455, -0.044637, 0.085119, 0.604233, 0.993497, -0.045430, 0.084058, 0.632925, + 0.993694, -0.046330, 0.082967, 0.660985, 0.993718, -0.047062, 0.081718, 0.688714, + 0.993973, -0.046884, 0.080029, 0.716743, 0.994207, -0.046705, 0.078129, 0.743770, + 0.994168, -0.046970, 0.076334, 0.770420, 0.994500, -0.045682, 0.073818, 0.796659, + 0.994356, -0.045552, 0.071554, 0.821868, 0.994747, -0.043949, 0.068609, 0.846572, + 0.994937, -0.043006, 0.065869, 0.870435, 0.995142, -0.041341, 0.062645, 0.893272, + 0.995451, -0.039652, 0.059290, 0.915376, 0.995445, -0.037845, 0.055850, 0.936196, + 0.995967, -0.035522, 0.052095, 0.956376, 0.996094, -0.033515, 0.048377, 0.975327, + 0.996622, -0.030682, 0.044257, 0.993471, 0.996938, -0.028550, 0.040469, 1.010520, + 0.997383, -0.025340, 0.036090, 1.026370, 0.997714, -0.023165, 0.032218, 1.041390, + 0.998249, -0.019814, 0.027843, 1.055420, 0.998596, -0.017434, 0.023876, 1.068460, + 0.998946, -0.014135, 0.019594, 1.080560, 0.999280, -0.011560, 0.015628, 1.091810, + 0.999507, -0.008391, 0.011461, 1.102130, 0.999697, -0.005666, 0.007633, 1.111690, + 0.999869, -0.002699, 0.003649, 1.120420, 1.000010, 0.000062, -0.000032, 1.128320, + 0.987221, -0.000002, 0.111332, 0.000020, 0.987390, -0.000056, 0.111351, 0.000498, + 0.987448, -0.000224, 0.111357, 0.001990, 0.987441, -0.000505, 0.111357, 0.004478, + 0.987442, -0.000898, 0.111357, 0.007961, 0.987442, -0.001403, 0.111357, 0.012440, + 0.987444, -0.002020, 0.111357, 0.017913, 0.987442, -0.002750, 0.111357, 0.024382, + 0.987446, -0.003591, 0.111357, 0.031847, 0.987435, -0.004546, 0.111356, 0.040309, + 0.987461, -0.005612, 0.111358, 0.049768, 0.987458, -0.006791, 0.111358, 0.060224, + 0.987443, -0.008083, 0.111356, 0.071679, 0.987476, -0.009487, 0.111358, 0.084136, + 0.987490, -0.011004, 0.111361, 0.097597, 0.987508, -0.012634, 0.111362, 0.112062, + 0.987494, -0.014377, 0.111357, 0.127533, 0.987526, -0.016231, 0.111359, 0.144015, + 0.987558, -0.018191, 0.111361, 0.161502, 0.987602, -0.020239, 0.111355, 0.179979, + 0.987692, -0.022273, 0.111346, 0.199386, 0.987702, -0.023531, 0.111215, 0.219183, + 0.987789, -0.024763, 0.111061, 0.239202, 0.987776, -0.028067, 0.111171, 0.259957, + 0.987856, -0.031675, 0.111327, 0.282198, 0.987912, -0.034247, 0.111282, 0.306294, + 0.988000, -0.036721, 0.111198, 0.331219, 0.988055, -0.038777, 0.110994, 0.356708, + 0.988241, -0.039772, 0.110547, 0.382234, 0.988399, -0.041608, 0.110198, 0.408227, + 0.988539, -0.044819, 0.110137, 0.434662, 0.988661, -0.048379, 0.110143, 0.461442, + 0.988967, -0.049590, 0.109453, 0.489318, 0.989073, -0.050680, 0.108628, 0.517516, + 0.989274, -0.052695, 0.108003, 0.545844, 0.989528, -0.054578, 0.107255, 0.573823, + 0.989709, -0.056150, 0.106294, 0.601944, 0.989991, -0.056866, 0.104896, 0.630855, + 0.990392, -0.057291, 0.103336, 0.658925, 0.990374, -0.058622, 0.101890, 0.686661, + 0.990747, -0.058476, 0.099783, 0.714548, 0.991041, -0.058266, 0.097431, 0.741860, + 0.991236, -0.058412, 0.095168, 0.768422, 0.991585, -0.057306, 0.092158, 0.794817, + 0.991984, -0.056424, 0.089117, 0.820336, 0.992100, -0.055361, 0.085805, 0.844930, + 0.992749, -0.053382, 0.082035, 0.868961, 0.992880, -0.051866, 0.078218, 0.891931, + 0.993511, -0.049249, 0.073894, 0.914186, 0.993617, -0.047196, 0.069640, 0.935320, + 0.994110, -0.044216, 0.064966, 0.955430, 0.994595, -0.041665, 0.060318, 0.974685, + 0.994976, -0.038431, 0.055349, 0.992807, 0.995579, -0.035349, 0.050394, 1.009960, + 0.996069, -0.031979, 0.045212, 1.026060, 0.996718, -0.028472, 0.040011, 1.041140, + 0.997173, -0.025079, 0.034946, 1.055170, 0.997818, -0.021333, 0.029653, 1.068300, + 0.998318, -0.017851, 0.024549, 1.080500, 0.998853, -0.014112, 0.019420, 1.091770, + 0.999218, -0.010591, 0.014387, 1.102200, 0.999594, -0.006935, 0.009435, 1.111750, + 0.999750, -0.003405, 0.004641, 1.120560, 1.000010, 0.000109, -0.000113, 1.128530, + 0.983383, -0.000003, 0.133358, 0.000020, 0.981942, -0.000067, 0.133162, 0.000495, + 0.981946, -0.000268, 0.133163, 0.001979, 0.981944, -0.000604, 0.133163, 0.004453, + 0.981941, -0.001074, 0.133162, 0.007917, 0.981946, -0.001678, 0.133163, 0.012370, + 0.981944, -0.002416, 0.133162, 0.017813, 0.981945, -0.003288, 0.133163, 0.024247, + 0.981945, -0.004295, 0.133162, 0.031670, 0.981955, -0.005436, 0.133164, 0.040085, + 0.981951, -0.006711, 0.133163, 0.049490, 0.981968, -0.008121, 0.133165, 0.059889, + 0.981979, -0.009665, 0.133166, 0.071281, 0.981996, -0.011345, 0.133168, 0.083669, + 0.982014, -0.013159, 0.133169, 0.097053, 0.982011, -0.015107, 0.133167, 0.111438, + 0.982062, -0.017191, 0.133172, 0.126826, 0.982100, -0.019407, 0.133175, 0.143215, + 0.982149, -0.021750, 0.133176, 0.160609, 0.982163, -0.024195, 0.133173, 0.178981, + 0.982247, -0.026591, 0.133148, 0.198249, 0.982291, -0.027916, 0.132974, 0.217795, + 0.982396, -0.029966, 0.132868, 0.238042, 0.982456, -0.033454, 0.132934, 0.258901, + 0.982499, -0.037864, 0.133137, 0.280639, 0.982617, -0.040927, 0.133085, 0.304604, + 0.982740, -0.043852, 0.132985, 0.329376, 0.982944, -0.046229, 0.132728, 0.354697, + 0.983080, -0.047600, 0.132228, 0.380102, 0.983391, -0.050190, 0.131924, 0.406256, + 0.983514, -0.053590, 0.131737, 0.432735, 0.983730, -0.057186, 0.131567, 0.459359, + 0.984056, -0.059235, 0.130932, 0.486637, 0.984234, -0.061049, 0.130092, 0.515090, + 0.984748, -0.063076, 0.129230, 0.543461, 0.985073, -0.064740, 0.128174, 0.571376, + 0.985195, -0.067194, 0.127133, 0.599414, 0.985734, -0.068135, 0.125576, 0.628134, + 0.986241, -0.068609, 0.123639, 0.656399, 0.986356, -0.069851, 0.121834, 0.684258, + 0.986894, -0.070093, 0.119454, 0.711818, 0.987382, -0.069832, 0.116718, 0.739511, + 0.988109, -0.069398, 0.113699, 0.766267, 0.988363, -0.068958, 0.110454, 0.792456, + 0.989112, -0.067235, 0.106602, 0.818130, 0.989241, -0.066203, 0.102670, 0.842889, + 0.990333, -0.063894, 0.098138, 0.867204, 0.990591, -0.061853, 0.093539, 0.890380, + 0.991106, -0.059312, 0.088553, 0.912576, 0.991919, -0.056268, 0.083219, 0.934118, + 0.992111, -0.053408, 0.077830, 0.954254, 0.992997, -0.049546, 0.072045, 0.973722, + 0.993317, -0.046371, 0.066346, 0.991949, 0.994133, -0.042125, 0.060188, 1.009360, + 0.994705, -0.038498, 0.054250, 1.025590, 0.995495, -0.034096, 0.047986, 1.040830, + 0.996206, -0.030105, 0.041887, 1.054970, 0.996971, -0.025610, 0.035535, 1.068240, + 0.997796, -0.021393, 0.029365, 1.080560, 0.998272, -0.016961, 0.023293, 1.091820, + 0.998857, -0.012676, 0.017279, 1.102190, 0.999390, -0.008325, 0.011316, 1.111920, + 0.999752, -0.004108, 0.005579, 1.120750, 1.000000, 0.000151, -0.000119, 1.128850, + 0.975169, -0.000003, 0.154669, 0.000020, 0.975439, -0.000078, 0.154712, 0.000492, + 0.975464, -0.000312, 0.154716, 0.001966, 0.975464, -0.000702, 0.154716, 0.004424, + 0.975462, -0.001247, 0.154715, 0.007865, 0.975461, -0.001949, 0.154715, 0.012289, + 0.975464, -0.002807, 0.154715, 0.017696, 0.975468, -0.003820, 0.154716, 0.024087, + 0.975471, -0.004990, 0.154716, 0.031461, 0.975472, -0.006315, 0.154717, 0.039820, + 0.975486, -0.007797, 0.154718, 0.049164, 0.975489, -0.009435, 0.154718, 0.059493, + 0.975509, -0.011229, 0.154721, 0.070811, 0.975540, -0.013180, 0.154724, 0.083118, + 0.975557, -0.015288, 0.154726, 0.096415, 0.975585, -0.017551, 0.154728, 0.110705, + 0.975605, -0.019971, 0.154729, 0.125992, 0.975645, -0.022545, 0.154729, 0.142272, + 0.975711, -0.025265, 0.154735, 0.159549, 0.975788, -0.028099, 0.154736, 0.177805, + 0.975872, -0.030823, 0.154704, 0.196911, 0.975968, -0.032484, 0.154525, 0.216324, + 0.976063, -0.035128, 0.154432, 0.236628, 0.976157, -0.038862, 0.154460, 0.257539, + 0.976204, -0.043770, 0.154665, 0.278975, 0.976358, -0.047514, 0.154652, 0.302606, + 0.976571, -0.050864, 0.154535, 0.327204, 0.976725, -0.053499, 0.154221, 0.352276, + 0.977013, -0.055555, 0.153737, 0.377696, 0.977294, -0.058673, 0.153403, 0.403855, + 0.977602, -0.062272, 0.153120, 0.430333, 0.977932, -0.065817, 0.152755, 0.456855, + 0.978241, -0.068988, 0.152233, 0.483668, 0.978602, -0.071280, 0.151320, 0.512097, + 0.979234, -0.073277, 0.150235, 0.540455, 0.979770, -0.075163, 0.148978, 0.568486, + 0.979995, -0.077803, 0.147755, 0.596524, 0.980780, -0.079185, 0.146019, 0.624825, + 0.981628, -0.079967, 0.143906, 0.653403, 0.982067, -0.080853, 0.141561, 0.681445, + 0.982710, -0.081602, 0.139025, 0.708918, 0.983734, -0.081251, 0.135764, 0.736594, + 0.984310, -0.080620, 0.132152, 0.763576, 0.985071, -0.080160, 0.128460, 0.789797, + 0.986180, -0.078421, 0.124084, 0.815804, 0.986886, -0.076664, 0.119300, 0.840869, + 0.987485, -0.074774, 0.114236, 0.864952, 0.988431, -0.071670, 0.108654, 0.888431, + 0.988886, -0.069161, 0.102994, 0.910963, 0.990024, -0.065405, 0.096728, 0.932629, + 0.990401, -0.061976, 0.090384, 0.953130, 0.991093, -0.057930, 0.083789, 0.972587, + 0.992018, -0.053658, 0.077017, 0.991184, 0.992536, -0.049372, 0.070149, 1.008630, + 0.993421, -0.044481, 0.062953, 1.024940, 0.993928, -0.040008, 0.056045, 1.040170, + 0.994994, -0.034798, 0.048560, 1.054630, 0.995866, -0.030102, 0.041615, 1.068070, + 0.996916, -0.024823, 0.034260, 1.080390, 0.997766, -0.019923, 0.027167, 1.091770, + 0.998479, -0.014742, 0.020139, 1.102350, 0.999210, -0.009802, 0.013194, 1.112060, + 0.999652, -0.004743, 0.006407, 1.121040, 0.999998, 0.000089, -0.000104, 1.129060, + 0.967868, -0.000004, 0.175947, 0.000019, 0.968001, -0.000089, 0.175972, 0.000488, + 0.968010, -0.000355, 0.175973, 0.001951, 0.968012, -0.000798, 0.175974, 0.004390, + 0.968011, -0.001419, 0.175973, 0.007805, 0.968011, -0.002217, 0.175973, 0.012195, + 0.968016, -0.003192, 0.175974, 0.017561, 0.968019, -0.004345, 0.175974, 0.023903, + 0.968018, -0.005675, 0.175974, 0.031221, 0.968033, -0.007183, 0.175977, 0.039516, + 0.968049, -0.008868, 0.175979, 0.048788, 0.968047, -0.010731, 0.175978, 0.059039, + 0.968072, -0.012772, 0.175981, 0.070270, 0.968108, -0.014991, 0.175986, 0.082484, + 0.968112, -0.017387, 0.175985, 0.095678, 0.968173, -0.019961, 0.175993, 0.109862, + 0.968270, -0.022713, 0.176008, 0.125033, 0.968292, -0.025639, 0.176010, 0.141193, + 0.968339, -0.028730, 0.176007, 0.158336, 0.968389, -0.031940, 0.176001, 0.176441, + 0.968501, -0.034941, 0.175962, 0.195359, 0.968646, -0.037081, 0.175793, 0.214686, + 0.968789, -0.040233, 0.175708, 0.234973, 0.968860, -0.044260, 0.175700, 0.255871, + 0.969013, -0.049398, 0.175876, 0.277238, 0.969242, -0.053993, 0.175940, 0.300326, + 0.969419, -0.057730, 0.175781, 0.324702, 0.969763, -0.060564, 0.175432, 0.349527, + 0.970093, -0.063449, 0.174992, 0.374976, 0.970361, -0.067059, 0.174611, 0.401097, + 0.970825, -0.070825, 0.174226, 0.427496, 0.971214, -0.074287, 0.173684, 0.453858, + 0.971622, -0.078261, 0.173186, 0.480637, 0.972175, -0.081315, 0.172288, 0.508655, + 0.972944, -0.083268, 0.170979, 0.536973, 0.973595, -0.085596, 0.169573, 0.565138, + 0.974345, -0.088216, 0.168152, 0.593222, 0.975233, -0.090167, 0.166314, 0.621201, + 0.976239, -0.091211, 0.163931, 0.649919, 0.977289, -0.091696, 0.161106, 0.678011, + 0.978076, -0.092706, 0.158272, 0.705717, 0.979533, -0.092556, 0.154750, 0.733228, + 0.980335, -0.091816, 0.150638, 0.760454, 0.981808, -0.090851, 0.146201, 0.786918, + 0.983061, -0.089617, 0.141386, 0.812953, 0.984148, -0.087159, 0.135837, 0.838281, + 0.985047, -0.085062, 0.130135, 0.862594, 0.986219, -0.081854, 0.123882, 0.886330, + 0.987043, -0.078452, 0.117126, 0.908952, 0.988107, -0.074960, 0.110341, 0.930744, + 0.988955, -0.070355, 0.102885, 0.951728, 0.989426, -0.066280, 0.095417, 0.971166, + 0.990421, -0.061083, 0.087633, 0.989984, 0.991032, -0.056294, 0.079779, 1.007650, + 0.992041, -0.050815, 0.071817, 1.024340, 0.992794, -0.045405, 0.063713, 1.039760, + 0.993691, -0.039819, 0.055534, 1.054180, 0.994778, -0.034148, 0.047339, 1.067720, + 0.995915, -0.028428, 0.039102, 1.080280, 0.997109, -0.022642, 0.030995, 1.091850, + 0.998095, -0.016874, 0.023029, 1.102470, 0.998985, -0.011127, 0.015072, 1.112290, + 0.999581, -0.005439, 0.007406, 1.121310, 1.000030, 0.000162, -0.000106, 1.129460, + 0.959505, -0.000004, 0.196876, 0.000019, 0.959599, -0.000099, 0.196895, 0.000484, + 0.959641, -0.000397, 0.196903, 0.001934, 0.959599, -0.000893, 0.196895, 0.004352, + 0.959603, -0.001587, 0.196896, 0.007737, 0.959604, -0.002480, 0.196896, 0.012089, + 0.959605, -0.003572, 0.196896, 0.017408, 0.959605, -0.004862, 0.196896, 0.023695, + 0.959613, -0.006350, 0.196897, 0.030950, 0.959619, -0.008037, 0.196898, 0.039172, + 0.959636, -0.009923, 0.196901, 0.048365, 0.959634, -0.012007, 0.196900, 0.058527, + 0.959675, -0.014290, 0.196906, 0.069661, 0.959712, -0.016772, 0.196911, 0.081768, + 0.959752, -0.019452, 0.196918, 0.094849, 0.959807, -0.022332, 0.196925, 0.108910, + 0.959828, -0.025409, 0.196924, 0.123947, 0.959906, -0.028681, 0.196934, 0.139968, + 0.960005, -0.032137, 0.196944, 0.156968, 0.960071, -0.035711, 0.196936, 0.174910, + 0.960237, -0.038906, 0.196882, 0.193597, 0.960367, -0.041623, 0.196731, 0.212850, + 0.960562, -0.045266, 0.196654, 0.233075, 0.960735, -0.049621, 0.196643, 0.253941, + 0.960913, -0.054938, 0.196774, 0.275278, 0.961121, -0.060341, 0.196893, 0.297733, + 0.961390, -0.064424, 0.196717, 0.321877, 0.961818, -0.067556, 0.196314, 0.346476, + 0.962175, -0.071271, 0.195917, 0.371907, 0.962550, -0.075285, 0.195500, 0.397916, + 0.963164, -0.079207, 0.195026, 0.424229, 0.963782, -0.082822, 0.194424, 0.450637, + 0.964306, -0.087312, 0.193831, 0.477288, 0.964923, -0.091105, 0.192973, 0.504716, + 0.966048, -0.093251, 0.191510, 0.533053, 0.967024, -0.095898, 0.190013, 0.561366, + 0.968038, -0.098350, 0.188253, 0.589464, 0.969152, -0.100754, 0.186257, 0.617433, + 0.970557, -0.102239, 0.183775, 0.645801, 0.972104, -0.102767, 0.180645, 0.674278, + 0.973203, -0.103492, 0.177242, 0.702004, 0.975123, -0.103793, 0.173450, 0.729529, + 0.976410, -0.102839, 0.168886, 0.756712, 0.978313, -0.101687, 0.163892, 0.783801, + 0.980036, -0.100314, 0.158439, 0.809671, 0.981339, -0.097836, 0.152211, 0.835402, + 0.982794, -0.095001, 0.145679, 0.860081, 0.984123, -0.092099, 0.138949, 0.883757, + 0.984918, -0.087864, 0.131283, 0.906850, 0.985999, -0.083939, 0.123464, 0.928786, + 0.987151, -0.079123, 0.115324, 0.949830, 0.987827, -0.073933, 0.106854, 0.969620, + 0.988806, -0.068809, 0.098269, 0.988610, 0.989588, -0.062896, 0.089346, 1.006670, + 0.990438, -0.057315, 0.080539, 1.023440, 0.991506, -0.050943, 0.071373, 1.039330, + 0.992492, -0.044872, 0.062373, 1.053780, 0.993663, -0.038350, 0.053084, 1.067470, + 0.994956, -0.031959, 0.043951, 1.080070, 0.996340, -0.025401, 0.034780, 1.091820, + 0.997610, -0.018969, 0.025795, 1.102500, 0.998630, -0.012444, 0.016989, 1.112470, + 0.999470, -0.006140, 0.008295, 1.121510, 1.000080, 0.000217, -0.000146, 1.129930, + 0.950129, -0.000004, 0.217413, 0.000019, 0.950264, -0.000110, 0.217444, 0.000479, + 0.950300, -0.000438, 0.217451, 0.001915, 0.950246, -0.000986, 0.217440, 0.004310, + 0.950246, -0.001753, 0.217440, 0.007661, 0.950245, -0.002739, 0.217440, 0.011971, + 0.950253, -0.003945, 0.217441, 0.017239, 0.950258, -0.005369, 0.217442, 0.023464, + 0.950267, -0.007013, 0.217444, 0.030648, 0.950277, -0.008876, 0.217446, 0.038791, + 0.950284, -0.010958, 0.217446, 0.047893, 0.950312, -0.013259, 0.217451, 0.057957, + 0.950334, -0.015780, 0.217454, 0.068982, 0.950378, -0.018520, 0.217462, 0.080971, + 0.950417, -0.021480, 0.217467, 0.093926, 0.950488, -0.024659, 0.217479, 0.107850, + 0.950534, -0.028057, 0.217483, 0.122743, 0.950633, -0.031669, 0.217498, 0.138611, + 0.950698, -0.035479, 0.217499, 0.155442, 0.950844, -0.039400, 0.217507, 0.173208, + 0.950999, -0.042681, 0.217419, 0.191605, 0.951221, -0.046130, 0.217317, 0.210840, + 0.951412, -0.050213, 0.217238, 0.230945, 0.951623, -0.054918, 0.217220, 0.251745, + 0.951867, -0.060449, 0.217306, 0.273001, 0.952069, -0.066519, 0.217466, 0.294874, + 0.952459, -0.070918, 0.217266, 0.318732, 0.952996, -0.074611, 0.216891, 0.343180, + 0.953425, -0.078925, 0.216503, 0.368490, 0.953885, -0.083329, 0.216042, 0.394373, + 0.954617, -0.087371, 0.215469, 0.420505, 0.955429, -0.091405, 0.214802, 0.446907, + 0.956068, -0.096167, 0.214146, 0.473522, 0.957094, -0.100480, 0.213286, 0.500520, + 0.958372, -0.103248, 0.211796, 0.528715, 0.959654, -0.106033, 0.210160, 0.557065, + 0.961305, -0.108384, 0.208149, 0.585286, 0.962785, -0.111122, 0.206024, 0.613334, + 0.964848, -0.112981, 0.203442, 0.641334, 0.966498, -0.113717, 0.199960, 0.669955, + 0.968678, -0.114121, 0.196105, 0.698094, 0.970489, -0.114524, 0.191906, 0.725643, + 0.972903, -0.113792, 0.186963, 0.752856, 0.974701, -0.112406, 0.181343, 0.780013, + 0.976718, -0.110685, 0.175185, 0.806268, 0.978905, -0.108468, 0.168535, 0.832073, + 0.980267, -0.105061, 0.161106, 0.857149, 0.981967, -0.101675, 0.153387, 0.881145, + 0.983063, -0.097449, 0.145199, 0.904255, 0.984432, -0.092581, 0.136527, 0.926686, + 0.985734, -0.087798, 0.127584, 0.947901, 0.986228, -0.081884, 0.118125, 0.968111, + 0.987190, -0.076121, 0.108594, 0.987190, 0.988228, -0.069820, 0.099000, 1.005590, + 0.989046, -0.063274, 0.089007, 1.022460, 0.990242, -0.056522, 0.079083, 1.038410, + 0.991252, -0.049527, 0.068918, 1.053470, 0.992542, -0.042537, 0.058859, 1.067240, + 0.994096, -0.035320, 0.048683, 1.080090, 0.995593, -0.028235, 0.038598, 1.091770, + 0.997110, -0.020951, 0.028646, 1.102740, 0.998263, -0.013929, 0.018850, 1.112620, + 0.999254, -0.006736, 0.009208, 1.121910, 0.999967, 0.000142, -0.000066, 1.130240, + 0.935608, -0.000005, 0.236466, 0.000019, 0.939960, -0.000120, 0.237568, 0.000474, + 0.939959, -0.000479, 0.237567, 0.001895, 0.939954, -0.001077, 0.237566, 0.004263, + 0.939956, -0.001915, 0.237566, 0.007578, 0.939954, -0.002993, 0.237566, 0.011841, + 0.939960, -0.004310, 0.237567, 0.017052, 0.939969, -0.005866, 0.237569, 0.023210, + 0.939982, -0.007662, 0.237572, 0.030316, 0.939987, -0.009697, 0.237572, 0.038371, + 0.939997, -0.011971, 0.237574, 0.047375, 0.940031, -0.014486, 0.237581, 0.057330, + 0.940073, -0.017240, 0.237589, 0.068237, 0.940120, -0.020234, 0.237598, 0.080097, + 0.940162, -0.023466, 0.237604, 0.092912, 0.940237, -0.026939, 0.237615, 0.106686, + 0.940328, -0.030649, 0.237632, 0.121421, 0.940419, -0.034592, 0.237645, 0.137115, + 0.940522, -0.038748, 0.237654, 0.153766, 0.940702, -0.042991, 0.237661, 0.171330, + 0.940871, -0.046509, 0.237561, 0.189502, 0.941103, -0.050531, 0.237480, 0.208616, + 0.941369, -0.055066, 0.237423, 0.228595, 0.941641, -0.060134, 0.237399, 0.249287, + 0.941903, -0.065880, 0.237443, 0.270467, 0.942224, -0.072267, 0.237597, 0.292024, + 0.942633, -0.077179, 0.237419, 0.315272, 0.943172, -0.081562, 0.237068, 0.339579, + 0.943691, -0.086397, 0.236682, 0.364717, 0.944382, -0.091154, 0.236213, 0.390435, + 0.945392, -0.095297, 0.235562, 0.416425, 0.946185, -0.099895, 0.234832, 0.442772, + 0.947212, -0.104796, 0.234114, 0.469347, 0.948778, -0.109280, 0.233222, 0.496162, + 0.950149, -0.113081, 0.231845, 0.523978, 0.951989, -0.115893, 0.230005, 0.552295, + 0.953921, -0.118460, 0.227862, 0.580569, 0.955624, -0.121150, 0.225439, 0.608698, + 0.958234, -0.123373, 0.222635, 0.636696, 0.960593, -0.124519, 0.219093, 0.665208, + 0.963201, -0.124736, 0.214749, 0.693557, 0.965642, -0.125012, 0.210059, 0.721334, + 0.968765, -0.124661, 0.204935, 0.748613, 0.971753, -0.122996, 0.198661, 0.776224, + 0.973751, -0.120998, 0.191823, 0.802461, 0.976709, -0.118583, 0.184359, 0.828399, + 0.977956, -0.115102, 0.176437, 0.853693, 0.979672, -0.111077, 0.167681, 0.877962, + 0.981816, -0.106880, 0.158872, 0.901564, 0.982380, -0.101469, 0.149398, 0.924057, + 0.983964, -0.096001, 0.139436, 0.945751, 0.984933, -0.089963, 0.129430, 0.966272, + 0.985694, -0.083297, 0.118940, 0.985741, 0.986822, -0.076708, 0.108349, 1.004070, + 0.987725, -0.069361, 0.097603, 1.021540, 0.988770, -0.062110, 0.086652, 1.037570, + 0.990129, -0.054414, 0.075618, 1.052960, 0.991337, -0.046744, 0.064575, 1.066830, + 0.992978, -0.038793, 0.053468, 1.079800, 0.994676, -0.030973, 0.042414, 1.091810, + 0.996450, -0.023031, 0.031404, 1.102860, 0.997967, -0.015206, 0.020687, 1.112910, + 0.999220, -0.007448, 0.010155, 1.122370, 1.000020, 0.000240, -0.000075, 1.130890, + 0.922948, -0.000005, 0.255626, 0.000019, 0.928785, -0.000130, 0.257244, 0.000468, + 0.928761, -0.000518, 0.257237, 0.001872, 0.928751, -0.001167, 0.257235, 0.004212, + 0.928751, -0.002074, 0.257234, 0.007488, 0.928754, -0.003241, 0.257235, 0.011700, + 0.928760, -0.004666, 0.257236, 0.016849, 0.928763, -0.006351, 0.257237, 0.022933, + 0.928774, -0.008296, 0.257239, 0.029955, 0.928791, -0.010500, 0.257243, 0.037914, + 0.928804, -0.012962, 0.257245, 0.046811, 0.928847, -0.015685, 0.257255, 0.056647, + 0.928890, -0.018666, 0.257263, 0.067425, 0.928924, -0.021907, 0.257268, 0.079143, + 0.928989, -0.025407, 0.257282, 0.091808, 0.929090, -0.029165, 0.257301, 0.105419, + 0.929180, -0.033180, 0.257316, 0.119978, 0.929290, -0.037447, 0.257332, 0.135491, + 0.929453, -0.041939, 0.257357, 0.151948, 0.929586, -0.046461, 0.257347, 0.169275, + 0.929858, -0.050343, 0.257269, 0.187257, 0.930125, -0.054841, 0.257199, 0.206204, + 0.930403, -0.059806, 0.257149, 0.226010, 0.930726, -0.065244, 0.257122, 0.246561, + 0.931098, -0.071238, 0.257153, 0.267618, 0.931396, -0.077751, 0.257237, 0.288993, + 0.931947, -0.083237, 0.257124, 0.311527, 0.932579, -0.088396, 0.256830, 0.335697, + 0.933194, -0.093704, 0.256444, 0.360634, 0.934013, -0.098729, 0.255939, 0.386126, + 0.935307, -0.103215, 0.255282, 0.412018, 0.936374, -0.108234, 0.254538, 0.438292, + 0.937760, -0.113234, 0.253728, 0.464805, 0.939599, -0.118013, 0.252750, 0.491464, + 0.941036, -0.122661, 0.251404, 0.518751, 0.943370, -0.125477, 0.249435, 0.547133, + 0.945318, -0.128374, 0.247113, 0.575456, 0.947995, -0.130996, 0.244441, 0.603720, + 0.950818, -0.133438, 0.241352, 0.631740, 0.954378, -0.135004, 0.237849, 0.659971, + 0.957151, -0.135313, 0.233188, 0.688478, 0.960743, -0.135210, 0.228001, 0.716767, + 0.964352, -0.135007, 0.222249, 0.744349, 0.967273, -0.133523, 0.215420, 0.771786, + 0.969767, -0.131155, 0.208039, 0.798639, 0.973195, -0.128492, 0.200076, 0.824774, + 0.975557, -0.125094, 0.191451, 0.850222, 0.977692, -0.120578, 0.181840, 0.874761, + 0.980260, -0.115882, 0.172102, 0.898497, 0.981394, -0.110372, 0.161859, 0.921636, + 0.982386, -0.104150, 0.151080, 0.943467, 0.983783, -0.097813, 0.140407, 0.964045, + 0.984220, -0.090617, 0.129058, 0.983980, 0.985447, -0.083292, 0.117614, 1.002760, + 0.986682, -0.075441, 0.105850, 1.020470, 0.987326, -0.067389, 0.094094, 1.036780, + 0.988707, -0.059256, 0.082209, 1.052180, 0.990185, -0.050717, 0.070192, 1.066520, + 0.991866, -0.042349, 0.058208, 1.079650, 0.993897, -0.033612, 0.046099, 1.091880, + 0.995841, -0.025218, 0.034274, 1.103070, 0.997605, -0.016489, 0.022483, 1.113240, + 0.999037, -0.008171, 0.011065, 1.122620, 1.000030, 0.000292, -0.000169, 1.131390, + 0.915304, -0.000006, 0.275999, 0.000018, 0.916680, -0.000139, 0.276414, 0.000462, + 0.916664, -0.000557, 0.276409, 0.001848, 0.916653, -0.001254, 0.276406, 0.004157, + 0.916651, -0.002229, 0.276405, 0.007391, 0.916655, -0.003482, 0.276406, 0.011548, + 0.916653, -0.005014, 0.276405, 0.016629, 0.916667, -0.006825, 0.276409, 0.022635, + 0.916680, -0.008914, 0.276412, 0.029565, 0.916690, -0.011282, 0.276413, 0.037420, + 0.916727, -0.013928, 0.276422, 0.046202, 0.916759, -0.016853, 0.276429, 0.055910, + 0.916793, -0.020056, 0.276436, 0.066547, 0.916849, -0.023537, 0.276448, 0.078114, + 0.916964, -0.027297, 0.276474, 0.090616, 0.917047, -0.031334, 0.276491, 0.104051, + 0.917152, -0.035646, 0.276511, 0.118424, 0.917286, -0.040227, 0.276533, 0.133736, + 0.917469, -0.045041, 0.276564, 0.149978, 0.917686, -0.049787, 0.276563, 0.167057, + 0.917953, -0.054094, 0.276493, 0.184846, 0.918228, -0.059071, 0.276437, 0.203614, + 0.918572, -0.064428, 0.276398, 0.223212, 0.918918, -0.070233, 0.276362, 0.243584, + 0.919356, -0.076484, 0.276383, 0.264465, 0.919842, -0.083081, 0.276434, 0.285701, + 0.920451, -0.089297, 0.276407, 0.307559, 0.921113, -0.095016, 0.276128, 0.331501, + 0.921881, -0.100771, 0.275754, 0.356207, 0.923027, -0.106029, 0.275254, 0.381477, + 0.924364, -0.111029, 0.274595, 0.407220, 0.925818, -0.116345, 0.273841, 0.433385, + 0.927460, -0.121424, 0.272913, 0.459848, 0.929167, -0.126570, 0.271837, 0.486493, + 0.931426, -0.131581, 0.270575, 0.513432, 0.934001, -0.135038, 0.268512, 0.541502, + 0.936296, -0.138039, 0.266135, 0.569658, 0.939985, -0.140687, 0.263271, 0.598375, + 0.943516, -0.143247, 0.260058, 0.626563, 0.947820, -0.145135, 0.256138, 0.654711, + 0.951023, -0.145733, 0.251154, 0.683285, 0.955338, -0.145554, 0.245562, 0.711831, + 0.959629, -0.145008, 0.239265, 0.739573, 0.963123, -0.144003, 0.232064, 0.767027, + 0.966742, -0.141289, 0.224036, 0.794359, 0.969991, -0.138247, 0.215305, 0.820361, + 0.973403, -0.134786, 0.206051, 0.846548, 0.975317, -0.129966, 0.195914, 0.871541, + 0.977647, -0.124710, 0.185184, 0.895313, 0.980137, -0.119086, 0.174161, 0.918398, + 0.981031, -0.112297, 0.162792, 0.940679, 0.982037, -0.105372, 0.150952, 0.961991, + 0.983164, -0.097821, 0.138921, 0.981913, 0.983757, -0.089724, 0.126611, 1.001090, + 0.985036, -0.081597, 0.114228, 1.019020, 0.986289, -0.072773, 0.101389, 1.036040, + 0.987329, -0.063932, 0.088648, 1.051490, 0.989193, -0.054811, 0.075684, 1.066190, + 0.990716, -0.045687, 0.062758, 1.079480, 0.992769, -0.036431, 0.049834, 1.091720, + 0.995240, -0.027176, 0.037031, 1.103300, 0.997154, -0.017961, 0.024396, 1.113530, + 0.998845, -0.008781, 0.011957, 1.123190, 1.000020, 0.000259, -0.000108, 1.131770, + 0.903945, -0.000006, 0.295126, 0.000018, 0.903668, -0.000149, 0.295037, 0.000455, + 0.903677, -0.000595, 0.295040, 0.001821, 0.903673, -0.001338, 0.295039, 0.004098, + 0.903666, -0.002379, 0.295036, 0.007286, 0.903668, -0.003717, 0.295037, 0.011384, + 0.903679, -0.005352, 0.295040, 0.016394, 0.903684, -0.007285, 0.295041, 0.022314, + 0.903698, -0.009515, 0.295044, 0.029146, 0.903718, -0.012042, 0.295049, 0.036890, + 0.903754, -0.014866, 0.295058, 0.045548, 0.903801, -0.017988, 0.295070, 0.055119, + 0.903851, -0.021406, 0.295082, 0.065606, 0.903921, -0.025122, 0.295097, 0.077011, + 0.904002, -0.029134, 0.295116, 0.089335, 0.904111, -0.033441, 0.295140, 0.102583, + 0.904246, -0.038041, 0.295169, 0.116755, 0.904408, -0.042926, 0.295202, 0.131853, + 0.904637, -0.048047, 0.295245, 0.147869, 0.904821, -0.052921, 0.295214, 0.164658, + 0.905163, -0.057775, 0.295185, 0.182274, 0.905469, -0.063176, 0.295143, 0.200828, + 0.905851, -0.068917, 0.295112, 0.220200, 0.906322, -0.075086, 0.295104, 0.240372, + 0.906761, -0.081586, 0.295086, 0.261082, 0.907350, -0.088214, 0.295095, 0.282123, + 0.908087, -0.095082, 0.295139, 0.303563, 0.908826, -0.101488, 0.294920, 0.327028, + 0.909832, -0.107577, 0.294577, 0.351464, 0.911393, -0.113033, 0.294115, 0.376497, + 0.912804, -0.118629, 0.293446, 0.402115, 0.914081, -0.124232, 0.292581, 0.428111, + 0.916370, -0.129399, 0.291660, 0.454442, 0.918140, -0.134892, 0.290422, 0.481024, + 0.921179, -0.140069, 0.289194, 0.507924, 0.924544, -0.144431, 0.287421, 0.535557, + 0.927995, -0.147498, 0.284867, 0.563984, 0.931556, -0.150197, 0.281722, 0.592300, + 0.935777, -0.152711, 0.278207, 0.620832, 0.940869, -0.154836, 0.274148, 0.649069, + 0.945994, -0.155912, 0.269057, 0.677746, 0.949634, -0.155641, 0.262799, 0.706293, + 0.955032, -0.154809, 0.256097, 0.734278, 0.959170, -0.153678, 0.248618, 0.761751, + 0.962931, -0.151253, 0.239794, 0.789032, 0.966045, -0.147625, 0.230281, 0.815422, + 0.969710, -0.143964, 0.220382, 0.841787, 0.972747, -0.139464, 0.209846, 0.867446, + 0.975545, -0.133459, 0.198189, 0.892004, 0.978381, -0.127424, 0.186362, 0.915458, + 0.979935, -0.120506, 0.173964, 0.937948, 0.980948, -0.112820, 0.161429, 0.959732, + 0.982234, -0.104941, 0.148557, 0.980118, 0.982767, -0.096291, 0.135508, 0.999463, + 0.983544, -0.087362, 0.122338, 1.017560, 0.984965, -0.078345, 0.108669, 1.034920, + 0.986233, -0.068480, 0.094991, 1.050870, 0.987796, -0.059087, 0.081139, 1.065600, + 0.989885, -0.048914, 0.067310, 1.079400, 0.991821, -0.039100, 0.053567, 1.091740, + 0.994480, -0.029087, 0.039753, 1.103410, 0.996769, -0.019114, 0.026146, 1.113830, + 0.998641, -0.009470, 0.012873, 1.123700, 0.999978, 0.000446, -0.000169, 1.132530, + 0.888362, -0.000006, 0.312578, 0.000018, 0.889988, -0.000158, 0.313148, 0.000448, + 0.889825, -0.000631, 0.313092, 0.001794, 0.889840, -0.001420, 0.313097, 0.004036, + 0.889828, -0.002524, 0.313092, 0.007174, 0.889831, -0.003944, 0.313093, 0.011210, + 0.889831, -0.005680, 0.313093, 0.016143, 0.889844, -0.007731, 0.313096, 0.021972, + 0.889858, -0.010097, 0.313100, 0.028700, 0.889882, -0.012779, 0.313106, 0.036326, + 0.889918, -0.015776, 0.313116, 0.044851, 0.889967, -0.019088, 0.313129, 0.054276, + 0.890030, -0.022715, 0.313145, 0.064603, 0.890108, -0.026657, 0.313165, 0.075834, + 0.890218, -0.030913, 0.313193, 0.087973, 0.890351, -0.035482, 0.313226, 0.101019, + 0.890510, -0.040361, 0.313263, 0.114979, 0.890672, -0.045539, 0.313294, 0.129848, + 0.890882, -0.050944, 0.313333, 0.145616, 0.891189, -0.055966, 0.313324, 0.162122, + 0.891457, -0.061312, 0.313281, 0.179524, 0.891856, -0.067149, 0.313281, 0.197855, + 0.892312, -0.073273, 0.313268, 0.216991, 0.892819, -0.079786, 0.313263, 0.236924, + 0.893369, -0.086527, 0.313247, 0.257433, 0.894045, -0.093159, 0.313205, 0.278215, + 0.894884, -0.100532, 0.313276, 0.299467, 0.895832, -0.107716, 0.313205, 0.322276, + 0.897043, -0.114099, 0.312873, 0.346420, 0.898515, -0.119941, 0.312331, 0.371187, + 0.900191, -0.126044, 0.311731, 0.396656, 0.901880, -0.131808, 0.310859, 0.422488, + 0.904359, -0.137289, 0.309857, 0.448744, 0.906923, -0.142991, 0.308714, 0.475239, + 0.910634, -0.148253, 0.307465, 0.501983, 0.914502, -0.153332, 0.305774, 0.529254, + 0.919046, -0.156646, 0.303156, 0.557709, 0.923194, -0.159612, 0.299928, 0.586267, + 0.928858, -0.162027, 0.296245, 0.614925, 0.934464, -0.164203, 0.291832, 0.643187, + 0.939824, -0.165602, 0.286565, 0.671601, 0.944582, -0.165383, 0.280073, 0.700213, + 0.949257, -0.164439, 0.272891, 0.728432, 0.954389, -0.162953, 0.264771, 0.756082, + 0.958595, -0.161007, 0.255927, 0.783690, 0.962138, -0.157243, 0.245769, 0.810769, + 0.966979, -0.152872, 0.235127, 0.836999, 0.969566, -0.148209, 0.223470, 0.862684, + 0.972372, -0.142211, 0.211147, 0.887847, 0.975916, -0.135458, 0.198606, 0.911843, + 0.978026, -0.128398, 0.185498, 0.934795, 0.979686, -0.120313, 0.171710, 0.956787, + 0.980748, -0.111660, 0.158159, 0.978046, 0.981622, -0.103035, 0.144399, 0.997693, + 0.982356, -0.093033, 0.130010, 1.016420, 0.983308, -0.083463, 0.115778, 1.033660, + 0.985037, -0.073225, 0.101327, 1.050140, 0.986493, -0.062814, 0.086554, 1.065070, + 0.988484, -0.052656, 0.072041, 1.079070, 0.991051, -0.041574, 0.057115, 1.091890, + 0.993523, -0.031427, 0.042664, 1.103690, 0.996280, -0.020360, 0.027932, 1.114230, + 0.998344, -0.010245, 0.013818, 1.124210, 0.999997, 0.000426, -0.000194, 1.133300, + 0.871555, -0.000007, 0.329176, 0.000017, 0.875255, -0.000167, 0.330571, 0.000441, + 0.875644, -0.000666, 0.330718, 0.001764, 0.875159, -0.001499, 0.330536, 0.003969, + 0.875160, -0.002665, 0.330536, 0.007056, 0.875158, -0.004164, 0.330535, 0.011025, + 0.875160, -0.005996, 0.330535, 0.015876, 0.875163, -0.008161, 0.330536, 0.021610, + 0.875174, -0.010659, 0.330538, 0.028227, 0.875199, -0.013490, 0.330545, 0.035727, + 0.875257, -0.016654, 0.330563, 0.044112, 0.875304, -0.020150, 0.330575, 0.053382, + 0.875373, -0.023978, 0.330595, 0.063539, 0.875464, -0.028139, 0.330619, 0.074587, + 0.875565, -0.032630, 0.330645, 0.086526, 0.875691, -0.037452, 0.330676, 0.099360, + 0.875897, -0.042599, 0.330733, 0.113093, 0.876091, -0.048058, 0.330776, 0.127722, + 0.876353, -0.053722, 0.330826, 0.143227, 0.876649, -0.058981, 0.330809, 0.159462, + 0.877034, -0.064786, 0.330819, 0.176642, 0.877443, -0.070979, 0.330817, 0.194702, + 0.877956, -0.077478, 0.330832, 0.213577, 0.878499, -0.084318, 0.330822, 0.233246, + 0.879144, -0.091271, 0.330804, 0.253512, 0.879982, -0.098082, 0.330766, 0.274137, + 0.880970, -0.105823, 0.330864, 0.295209, 0.882051, -0.113671, 0.330896, 0.317226, + 0.883397, -0.120303, 0.330545, 0.341068, 0.884987, -0.126670, 0.330068, 0.365613, + 0.886789, -0.133118, 0.329418, 0.390807, 0.889311, -0.139024, 0.328683, 0.416494, + 0.891995, -0.144971, 0.327729, 0.442618, 0.895106, -0.150747, 0.326521, 0.469131, + 0.899527, -0.156283, 0.325229, 0.495921, 0.905040, -0.161707, 0.323780, 0.523162, + 0.909875, -0.165661, 0.321220, 0.550920, 0.915610, -0.168755, 0.317942, 0.579928, + 0.921225, -0.171193, 0.313983, 0.608539, 0.927308, -0.173190, 0.309636, 0.636854, + 0.933077, -0.174819, 0.304262, 0.665230, 0.938766, -0.175002, 0.297563, 0.693609, + 0.943667, -0.173946, 0.289613, 0.722157, 0.949033, -0.172221, 0.281227, 0.750021, + 0.953765, -0.169869, 0.271545, 0.777466, 0.958040, -0.166578, 0.261034, 0.804853, + 0.962302, -0.161761, 0.249434, 0.831569, 0.966544, -0.156636, 0.237484, 0.857779, + 0.969372, -0.150784, 0.224395, 0.883051, 0.972486, -0.143672, 0.210786, 0.907864, + 0.975853, -0.135772, 0.196556, 0.931223, 0.977975, -0.127942, 0.182307, 0.954061, + 0.979122, -0.118347, 0.167607, 0.975310, 0.980719, -0.109112, 0.152739, 0.995666, + 0.981223, -0.099179, 0.137932, 1.014750, 0.982160, -0.088355, 0.122692, 1.032530, + 0.983379, -0.078082, 0.107493, 1.049170, 0.985434, -0.066565, 0.091779, 1.064640, + 0.987332, -0.055771, 0.076495, 1.078960, 0.990004, -0.044281, 0.060721, 1.091990, + 0.992975, -0.033168, 0.045228, 1.103930, 0.995811, -0.021955, 0.029793, 1.114760, + 0.998200, -0.010761, 0.014642, 1.124840, 1.000020, 0.000249, -0.000146, 1.134130, + 0.859519, -0.000007, 0.347264, 0.000017, 0.859843, -0.000175, 0.347394, 0.000433, + 0.859656, -0.000700, 0.347319, 0.001733, 0.859671, -0.001575, 0.347325, 0.003899, + 0.859669, -0.002800, 0.347324, 0.006931, 0.859670, -0.004375, 0.347324, 0.010830, + 0.859665, -0.006300, 0.347321, 0.015595, 0.859685, -0.008575, 0.347328, 0.021228, + 0.859694, -0.011200, 0.347329, 0.027727, 0.859718, -0.014175, 0.347336, 0.035095, + 0.859760, -0.017499, 0.347348, 0.043331, 0.859820, -0.021172, 0.347366, 0.052438, + 0.859892, -0.025194, 0.347387, 0.062417, 0.860006, -0.029565, 0.347422, 0.073271, + 0.860122, -0.034283, 0.347453, 0.085000, 0.860282, -0.039346, 0.347499, 0.097610, + 0.860482, -0.044751, 0.347554, 0.111104, 0.860719, -0.050478, 0.347614, 0.125479, + 0.860998, -0.056358, 0.347666, 0.140703, 0.861322, -0.061947, 0.347662, 0.156681, + 0.861724, -0.068128, 0.347684, 0.173597, 0.862198, -0.074657, 0.347709, 0.191371, + 0.862733, -0.081523, 0.347727, 0.209976, 0.863371, -0.088664, 0.347744, 0.229351, + 0.864140, -0.095791, 0.347734, 0.249340, 0.865138, -0.102912, 0.347720, 0.269797, + 0.866182, -0.110924, 0.347800, 0.290654, 0.867436, -0.119223, 0.347911, 0.312074, + 0.869087, -0.126197, 0.347649, 0.335438, 0.870859, -0.133145, 0.347222, 0.359732, + 0.872997, -0.139869, 0.346645, 0.384670, 0.875939, -0.146089, 0.345935, 0.410190, + 0.879012, -0.152334, 0.345012, 0.436218, 0.883353, -0.158210, 0.343924, 0.462641, + 0.888362, -0.164097, 0.342636, 0.489449, 0.895026, -0.169528, 0.341351, 0.516629, + 0.900753, -0.174408, 0.339115, 0.544109, 0.906814, -0.177510, 0.335809, 0.572857, + 0.912855, -0.180101, 0.331597, 0.601554, 0.919438, -0.182116, 0.326980, 0.630198, + 0.925962, -0.183494, 0.321449, 0.658404, 0.931734, -0.184159, 0.314595, 0.686625, + 0.937620, -0.183040, 0.306462, 0.715310, 0.943858, -0.181323, 0.297514, 0.744272, + 0.948662, -0.178683, 0.287447, 0.771462, 0.953299, -0.175379, 0.276166, 0.798593, + 0.957346, -0.170395, 0.263758, 0.825600, 0.962565, -0.165042, 0.251019, 0.852575, + 0.966075, -0.158655, 0.237011, 0.878316, 0.969048, -0.151707, 0.222518, 0.903290, + 0.972423, -0.143271, 0.207848, 0.927745, 0.975833, -0.134824, 0.192463, 0.950859, + 0.977629, -0.125444, 0.176800, 0.972947, 0.978995, -0.114949, 0.161033, 0.993263, + 0.980533, -0.104936, 0.145523, 1.013370, 0.980745, -0.093558, 0.129799, 1.031280, + 0.981814, -0.082296, 0.113486, 1.048250, 0.983943, -0.071008, 0.097293, 1.064050, + 0.986141, -0.058793, 0.080814, 1.078500, 0.988878, -0.047275, 0.064491, 1.092040, + 0.992132, -0.034913, 0.047813, 1.104130, 0.995300, -0.023241, 0.031621, 1.115270, + 0.998117, -0.011271, 0.015494, 1.125510, 1.000030, 0.000340, -0.000196, 1.135040, + 0.845441, -0.000007, 0.364305, 0.000017, 0.843588, -0.000183, 0.363506, 0.000425, + 0.843412, -0.000733, 0.363430, 0.001700, 0.843401, -0.001648, 0.363426, 0.003825, + 0.843399, -0.002930, 0.363425, 0.006800, 0.843401, -0.004578, 0.363425, 0.010625, + 0.843394, -0.006592, 0.363421, 0.015300, 0.843398, -0.008973, 0.363421, 0.020826, + 0.843415, -0.011719, 0.363426, 0.027202, 0.843438, -0.014831, 0.363432, 0.034431, + 0.843483, -0.018309, 0.363447, 0.042512, 0.843560, -0.022152, 0.363472, 0.051447, + 0.843646, -0.026360, 0.363499, 0.061238, 0.843743, -0.030932, 0.363527, 0.071887, + 0.843880, -0.035866, 0.363569, 0.083397, 0.844079, -0.041162, 0.363631, 0.095774, + 0.844279, -0.046813, 0.363688, 0.109015, 0.844549, -0.052792, 0.363761, 0.123124, + 0.844858, -0.058820, 0.363817, 0.138044, 0.845220, -0.064757, 0.363830, 0.153755, + 0.845669, -0.071318, 0.363879, 0.170394, 0.846155, -0.078170, 0.363908, 0.187861, + 0.846789, -0.085391, 0.363969, 0.206176, 0.847502, -0.092809, 0.363999, 0.225244, + 0.848400, -0.100050, 0.363997, 0.244926, 0.849461, -0.107615, 0.364008, 0.265188, + 0.850562, -0.115814, 0.364055, 0.285870, 0.851962, -0.124334, 0.364179, 0.306926, + 0.854326, -0.131995, 0.364233, 0.329605, 0.856295, -0.139338, 0.363856, 0.353590, + 0.858857, -0.146346, 0.363347, 0.378310, 0.862428, -0.152994, 0.362807, 0.403722, + 0.866203, -0.159463, 0.361963, 0.429537, 0.871629, -0.165623, 0.361120, 0.456000, + 0.877365, -0.171649, 0.359917, 0.482773, 0.883744, -0.177151, 0.358480, 0.509705, + 0.890693, -0.182381, 0.356523, 0.537215, 0.897278, -0.186076, 0.353300, 0.565493, + 0.903958, -0.188602, 0.349095, 0.594293, 0.910908, -0.190755, 0.344215, 0.623165, + 0.918117, -0.192063, 0.338606, 0.651573, 0.924644, -0.192758, 0.331544, 0.679869, + 0.931054, -0.192238, 0.323163, 0.708668, 0.937303, -0.190035, 0.313529, 0.737201, + 0.943387, -0.187162, 0.303152, 0.764977, 0.948494, -0.183876, 0.291460, 0.792683, + 0.952546, -0.178901, 0.277917, 0.819228, 0.958077, -0.173173, 0.264753, 0.846559, + 0.962462, -0.166450, 0.250020, 0.872962, 0.966569, -0.159452, 0.234873, 0.898729, + 0.969108, -0.150740, 0.218752, 0.923126, 0.973072, -0.141523, 0.202673, 0.947278, + 0.975452, -0.132075, 0.186326, 0.969938, 0.977784, -0.121257, 0.169396, 0.991325, + 0.978990, -0.110182, 0.153044, 1.011230, 0.979777, -0.098963, 0.136485, 1.029900, + 0.980865, -0.086589, 0.119343, 1.047270, 0.982432, -0.074611, 0.102452, 1.063410, + 0.984935, -0.062182, 0.085242, 1.078340, 0.987776, -0.049569, 0.067855, 1.092000, + 0.991030, -0.037239, 0.050692, 1.104300, 0.994740, -0.024435, 0.033332, 1.115760, + 0.997768, -0.012145, 0.016435, 1.126170, 1.000030, 0.000318, -0.000170, 1.135980, + 0.825551, -0.000008, 0.378425, 0.000017, 0.826640, -0.000191, 0.378923, 0.000417, + 0.826323, -0.000763, 0.378779, 0.001666, 0.826359, -0.001718, 0.378795, 0.003748, + 0.826360, -0.003054, 0.378795, 0.006663, 0.826368, -0.004772, 0.378798, 0.010410, + 0.826364, -0.006871, 0.378795, 0.014991, 0.826368, -0.009352, 0.378795, 0.020405, + 0.826376, -0.012215, 0.378797, 0.026653, 0.826399, -0.015458, 0.378803, 0.033736, + 0.826460, -0.019082, 0.378824, 0.041654, 0.826525, -0.023087, 0.378846, 0.050409, + 0.826614, -0.027472, 0.378876, 0.060003, 0.826740, -0.032236, 0.378917, 0.070439, + 0.826888, -0.037377, 0.378964, 0.081720, 0.827078, -0.042894, 0.379024, 0.093849, + 0.827318, -0.048778, 0.379099, 0.106828, 0.827640, -0.054994, 0.379199, 0.120659, + 0.827926, -0.061106, 0.379227, 0.135260, 0.828325, -0.067505, 0.379275, 0.150713, + 0.828801, -0.074345, 0.379332, 0.167034, 0.829400, -0.081552, 0.379415, 0.184209, + 0.830094, -0.089078, 0.379495, 0.202203, 0.830900, -0.096736, 0.379555, 0.220945, + 0.831943, -0.104135, 0.379577, 0.240306, 0.833037, -0.112106, 0.379604, 0.260317, + 0.834278, -0.120554, 0.379668, 0.280800, 0.836192, -0.129128, 0.379900, 0.301654, + 0.838671, -0.137541, 0.380109, 0.323502, 0.840939, -0.145230, 0.379809, 0.347176, + 0.844575, -0.152480, 0.379593, 0.371706, 0.848379, -0.159607, 0.379090, 0.396880, + 0.853616, -0.166267, 0.378617, 0.422702, 0.858921, -0.172698, 0.377746, 0.448919, + 0.865324, -0.178823, 0.376749, 0.475661, 0.872207, -0.184542, 0.375363, 0.502599, + 0.880018, -0.189836, 0.373657, 0.529914, 0.886940, -0.194294, 0.370673, 0.557683, + 0.894779, -0.197022, 0.366620, 0.586848, 0.902242, -0.199108, 0.361380, 0.615831, + 0.909914, -0.200398, 0.355434, 0.644478, 0.917088, -0.200940, 0.348173, 0.672905, + 0.923888, -0.200671, 0.339482, 0.701327, 0.930495, -0.198773, 0.329560, 0.730101, + 0.937247, -0.195394, 0.318363, 0.758383, 0.943108, -0.191956, 0.306323, 0.786539, + 0.948296, -0.187227, 0.292576, 0.813637, 0.953472, -0.181165, 0.278234, 0.840793, + 0.958485, -0.174119, 0.263054, 0.867712, 0.962714, -0.166564, 0.246756, 0.893635, + 0.966185, -0.158181, 0.229945, 0.919028, 0.970146, -0.148275, 0.212633, 0.943413, + 0.973491, -0.138157, 0.195229, 0.966627, 0.975741, -0.127574, 0.178048, 0.988817, + 0.977238, -0.115540, 0.160312, 1.009240, 0.978411, -0.103640, 0.142857, 1.028450, + 0.979811, -0.091312, 0.125317, 1.046480, 0.981160, -0.078256, 0.107627, 1.062840, + 0.983543, -0.065596, 0.089586, 1.077980, 0.986789, -0.052041, 0.071376, 1.092000, + 0.990292, -0.038973, 0.053228, 1.104840, 0.994187, -0.025808, 0.035194, 1.116420, + 0.997499, -0.012607, 0.017320, 1.127030, 0.999999, 0.000276, -0.000149, 1.136740, + 0.810750, -0.000008, 0.394456, 0.000016, 0.808692, -0.000198, 0.393453, 0.000408, + 0.808460, -0.000793, 0.393340, 0.001630, 0.808595, -0.001784, 0.393407, 0.003667, + 0.808597, -0.003172, 0.393408, 0.006519, 0.808598, -0.004956, 0.393408, 0.010187, + 0.808591, -0.007136, 0.393403, 0.014669, 0.808592, -0.009713, 0.393402, 0.019967, + 0.808610, -0.012686, 0.393407, 0.026080, 0.808633, -0.016054, 0.393413, 0.033011, + 0.808680, -0.019817, 0.393429, 0.040759, 0.808748, -0.023976, 0.393453, 0.049326, + 0.808854, -0.028529, 0.393490, 0.058716, 0.808992, -0.033475, 0.393540, 0.068930, + 0.809141, -0.038812, 0.393588, 0.079971, 0.809352, -0.044538, 0.393660, 0.091843, + 0.809608, -0.050643, 0.393742, 0.104549, 0.809915, -0.057071, 0.393834, 0.118085, + 0.810253, -0.063353, 0.393885, 0.132377, 0.810687, -0.070097, 0.393953, 0.147537, + 0.811233, -0.077227, 0.394047, 0.163543, 0.811865, -0.084763, 0.394148, 0.180394, + 0.812648, -0.092566, 0.394265, 0.198051, 0.813583, -0.100416, 0.394363, 0.216443, + 0.814683, -0.108119, 0.394402, 0.235502, 0.815948, -0.116440, 0.394489, 0.255242, + 0.817278, -0.125036, 0.394542, 0.275441, 0.819605, -0.133655, 0.394860, 0.296094, + 0.822256, -0.142682, 0.395248, 0.317309, 0.825349, -0.150756, 0.395241, 0.340516, + 0.829605, -0.158392, 0.395285, 0.364819, 0.833910, -0.165801, 0.394922, 0.389736, + 0.839808, -0.172677, 0.394691, 0.415409, 0.845708, -0.179448, 0.394006, 0.441546, + 0.853025, -0.185746, 0.393279, 0.468320, 0.859666, -0.191684, 0.391655, 0.495302, + 0.867890, -0.197146, 0.390068, 0.522620, 0.875845, -0.201904, 0.387270, 0.550336, + 0.882634, -0.205023, 0.382688, 0.578825, 0.891076, -0.207098, 0.377543, 0.608103, + 0.900589, -0.208474, 0.371752, 0.637230, 0.907910, -0.209068, 0.364016, 0.665769, + 0.915971, -0.208655, 0.355593, 0.694428, 0.923455, -0.207290, 0.345439, 0.723224, + 0.931514, -0.203821, 0.334099, 0.751925, 0.937885, -0.199860, 0.321069, 0.780249, + 0.943136, -0.194993, 0.306571, 0.807700, 0.948818, -0.189132, 0.291556, 0.834970, + 0.954433, -0.181617, 0.275745, 0.861880, 0.959078, -0.173595, 0.258695, 0.888562, + 0.962705, -0.164855, 0.240825, 0.914008, 0.966753, -0.155129, 0.222680, 0.939145, + 0.970704, -0.144241, 0.204542, 0.963393, 0.973367, -0.133188, 0.185927, 0.985983, + 0.975984, -0.121146, 0.167743, 1.007040, 0.976994, -0.108366, 0.149218, 1.027150, + 0.978485, -0.095675, 0.131310, 1.045500, 0.980074, -0.082073, 0.112513, 1.062210, + 0.982250, -0.068406, 0.093832, 1.077820, 0.985530, -0.054950, 0.074951, 1.091990, + 0.989529, -0.040786, 0.055848, 1.105080, 0.993536, -0.027198, 0.036858, 1.116840, + 0.997247, -0.013272, 0.018184, 1.127890, 1.000000, 0.000432, -0.000199, 1.137920, + 0.785886, -0.000008, 0.405036, 0.000016, 0.790388, -0.000205, 0.407355, 0.000398, + 0.790145, -0.000821, 0.407231, 0.001593, 0.790135, -0.001847, 0.407226, 0.003583, + 0.790119, -0.003283, 0.407218, 0.006370, 0.790126, -0.005130, 0.407220, 0.009954, + 0.790130, -0.007387, 0.407221, 0.014334, 0.790135, -0.010054, 0.407221, 0.019511, + 0.790134, -0.013131, 0.407217, 0.025485, 0.790160, -0.016617, 0.407224, 0.032257, + 0.790197, -0.020512, 0.407236, 0.039828, 0.790273, -0.024816, 0.407263, 0.048201, + 0.790381, -0.029527, 0.407304, 0.057378, 0.790521, -0.034645, 0.407355, 0.067360, + 0.790704, -0.040167, 0.407420, 0.078152, 0.790925, -0.046090, 0.407499, 0.089758, + 0.791195, -0.052402, 0.407589, 0.102180, 0.791522, -0.059012, 0.407691, 0.115410, + 0.791878, -0.065488, 0.407748, 0.129390, 0.792361, -0.072521, 0.407849, 0.144237, + 0.792942, -0.079984, 0.407963, 0.159924, 0.793620, -0.087790, 0.408087, 0.176425, + 0.794529, -0.095845, 0.408259, 0.193733, 0.795521, -0.103827, 0.408362, 0.211756, + 0.796778, -0.111937, 0.408482, 0.230524, 0.798027, -0.120521, 0.408547, 0.249967, + 0.799813, -0.129242, 0.408721, 0.269926, 0.802387, -0.138048, 0.409148, 0.290338, + 0.805279, -0.147301, 0.409641, 0.311193, 0.809251, -0.155895, 0.410154, 0.333611, + 0.813733, -0.163942, 0.410297, 0.357615, 0.819081, -0.171666, 0.410373, 0.382339, + 0.825427, -0.178905, 0.410348, 0.407828, 0.831720, -0.185812, 0.409486, 0.434034, + 0.838770, -0.192318, 0.408776, 0.460493, 0.845817, -0.198249, 0.407176, 0.487346, + 0.854664, -0.204034, 0.405719, 0.514832, 0.863495, -0.208908, 0.403282, 0.542401, + 0.871883, -0.212765, 0.399293, 0.570683, 0.880650, -0.214911, 0.393803, 0.599947, + 0.890040, -0.216214, 0.387536, 0.629320, 0.898476, -0.216745, 0.379846, 0.658319, + 0.906738, -0.216387, 0.370625, 0.687138, 0.914844, -0.215053, 0.360139, 0.716010, + 0.923877, -0.212007, 0.348849, 0.745124, 0.931925, -0.207481, 0.335639, 0.773366, + 0.938054, -0.202418, 0.320798, 0.801636, 0.943895, -0.196507, 0.304772, 0.829055, + 0.949468, -0.189009, 0.288033, 0.856097, 0.955152, -0.180539, 0.270532, 0.883010, + 0.959403, -0.171437, 0.251639, 0.909296, 0.963309, -0.161661, 0.232563, 0.934868, + 0.967399, -0.150425, 0.213231, 0.959662, 0.972009, -0.138659, 0.194247, 0.983020, + 0.974330, -0.126595, 0.174718, 1.005170, 0.975823, -0.113205, 0.155518, 1.025660, + 0.976371, -0.099610, 0.136709, 1.044180, 0.978705, -0.086075, 0.117571, 1.061460, + 0.981477, -0.071444, 0.098005, 1.077770, 0.984263, -0.057230, 0.078218, 1.092140, + 0.988423, -0.042888, 0.058405, 1.105530, 0.993000, -0.028244, 0.038522, 1.117580, + 0.997040, -0.014018, 0.019015, 1.128640, 0.999913, 0.000369, -0.000145, 1.139010, + 0.777662, -0.000008, 0.423844, 0.000015, 0.770458, -0.000212, 0.419915, 0.000388, + 0.770716, -0.000847, 0.420055, 0.001554, 0.770982, -0.001906, 0.420202, 0.003497, + 0.770981, -0.003388, 0.420201, 0.006216, 0.770980, -0.005293, 0.420200, 0.009713, + 0.770983, -0.007622, 0.420200, 0.013987, 0.770985, -0.010374, 0.420198, 0.019038, + 0.770996, -0.013549, 0.420200, 0.024868, 0.771029, -0.017146, 0.420212, 0.031476, + 0.771052, -0.021165, 0.420215, 0.038865, 0.771131, -0.025605, 0.420245, 0.047036, + 0.771235, -0.030465, 0.420284, 0.055991, 0.771383, -0.035744, 0.420341, 0.065735, + 0.771591, -0.041439, 0.420423, 0.076269, 0.771819, -0.047546, 0.420506, 0.087598, + 0.772123, -0.054051, 0.420617, 0.099727, 0.772464, -0.060797, 0.420720, 0.112637, + 0.772855, -0.067539, 0.420799, 0.126313, 0.773317, -0.074832, 0.420893, 0.140824, + 0.773981, -0.082568, 0.421058, 0.156170, 0.774746, -0.090631, 0.421226, 0.172322, + 0.775660, -0.098898, 0.421397, 0.189253, 0.776837, -0.106994, 0.421569, 0.206912, + 0.778097, -0.115528, 0.421704, 0.225359, 0.779588, -0.124317, 0.421849, 0.244470, + 0.781574, -0.133139, 0.422097, 0.264156, 0.784451, -0.142179, 0.422615, 0.284318, + 0.787682, -0.151650, 0.423269, 0.304902, 0.792433, -0.160771, 0.424396, 0.326500, + 0.797359, -0.169166, 0.424772, 0.350140, 0.803986, -0.177149, 0.425475, 0.374768, + 0.809504, -0.184745, 0.424996, 0.399928, 0.815885, -0.191730, 0.424247, 0.425796, + 0.823513, -0.198525, 0.423515, 0.452287, 0.832549, -0.204709, 0.422787, 0.479321, + 0.841653, -0.210447, 0.421187, 0.506718, 0.850401, -0.215501, 0.418519, 0.534320, + 0.859854, -0.219752, 0.414715, 0.562420, 0.869364, -0.222305, 0.409462, 0.591558, + 0.878837, -0.223744, 0.402926, 0.621074, 0.888636, -0.224065, 0.395043, 0.650538, + 0.898132, -0.223742, 0.385640, 0.679538, 0.907181, -0.222308, 0.375378, 0.708674, + 0.915621, -0.219837, 0.363212, 0.737714, 0.923900, -0.215233, 0.349313, 0.767014, + 0.931644, -0.209592, 0.334162, 0.795133, 0.938887, -0.203644, 0.317943, 0.823228, + 0.945282, -0.196349, 0.300581, 0.850822, 0.950758, -0.187420, 0.282195, 0.877594, + 0.956146, -0.177879, 0.262481, 0.904564, 0.960355, -0.167643, 0.242487, 0.930741, + 0.965256, -0.156671, 0.222668, 0.955868, 0.968029, -0.144123, 0.201907, 0.979869, + 0.972510, -0.131305, 0.182020, 1.002910, 0.974925, -0.118335, 0.161909, 1.023920, + 0.975402, -0.103714, 0.142129, 1.043300, 0.976987, -0.089415, 0.122447, 1.060890, + 0.979677, -0.074886, 0.102248, 1.077130, 0.983184, -0.059609, 0.081485, 1.092180, + 0.987466, -0.044767, 0.060948, 1.105850, 0.992348, -0.029522, 0.040183, 1.118290, + 0.996674, -0.014392, 0.019816, 1.129660, 1.000030, 0.000321, -0.000150, 1.140200, + 0.757901, -0.000009, 0.436176, 0.000015, 0.751195, -0.000218, 0.432317, 0.000379, + 0.751178, -0.000871, 0.432307, 0.001514, 0.751195, -0.001961, 0.432317, 0.003407, + 0.751198, -0.003486, 0.432318, 0.006057, 0.751195, -0.005446, 0.432315, 0.009464, + 0.751207, -0.007842, 0.432320, 0.013628, 0.751213, -0.010673, 0.432320, 0.018550, + 0.751221, -0.013939, 0.432319, 0.024230, 0.751244, -0.017640, 0.432325, 0.030669, + 0.751300, -0.021774, 0.432348, 0.037870, 0.751358, -0.026341, 0.432367, 0.045832, + 0.751458, -0.031340, 0.432404, 0.054559, 0.751608, -0.036768, 0.432464, 0.064054, + 0.751800, -0.042625, 0.432540, 0.074322, 0.752065, -0.048903, 0.432645, 0.085367, + 0.752376, -0.055583, 0.432762, 0.097191, 0.752715, -0.062386, 0.432859, 0.109768, + 0.753137, -0.069415, 0.432958, 0.123126, 0.753676, -0.077004, 0.433099, 0.137308, + 0.754345, -0.084971, 0.433272, 0.152290, 0.755235, -0.093268, 0.433504, 0.168075, + 0.756186, -0.101710, 0.433693, 0.184625, 0.757363, -0.110019, 0.433857, 0.201897, + 0.758840, -0.118870, 0.434102, 0.220014, 0.760467, -0.127881, 0.434306, 0.238778, + 0.762969, -0.136766, 0.434751, 0.258172, 0.765823, -0.146120, 0.435290, 0.278062, + 0.769676, -0.155660, 0.436236, 0.298437, 0.774909, -0.165177, 0.437754, 0.319532, + 0.779940, -0.174020, 0.438343, 0.342505, 0.785757, -0.182201, 0.438609, 0.366693, + 0.792487, -0.190104, 0.438762, 0.391668, 0.800380, -0.197438, 0.438795, 0.417494, + 0.808494, -0.204365, 0.438226, 0.443933, 0.817695, -0.210714, 0.437283, 0.470929, + 0.828111, -0.216651, 0.436087, 0.498569, 0.837901, -0.221804, 0.433717, 0.526165, + 0.847813, -0.226318, 0.430133, 0.554155, 0.858314, -0.229297, 0.425213, 0.582822, + 0.868891, -0.230999, 0.418576, 0.612847, 0.878941, -0.231155, 0.410405, 0.642445, + 0.888809, -0.230935, 0.400544, 0.672024, 0.898089, -0.229343, 0.389613, 0.701366, + 0.908081, -0.226886, 0.377197, 0.730763, 0.916819, -0.222676, 0.363397, 0.759642, + 0.924968, -0.216835, 0.347437, 0.788775, 0.932906, -0.210245, 0.329950, 0.817135, + 0.940025, -0.202992, 0.312262, 0.844912, 0.946101, -0.194360, 0.293313, 0.872164, + 0.952835, -0.184125, 0.273638, 0.899443, 0.957347, -0.173657, 0.252385, 0.926389, + 0.961434, -0.162204, 0.231038, 0.951947, 0.965522, -0.149790, 0.209834, 0.976751, + 0.969412, -0.136307, 0.188821, 1.000220, 0.973902, -0.122527, 0.168013, 1.022290, + 0.974045, -0.108213, 0.147634, 1.041990, 0.975775, -0.092740, 0.127050, 1.060190, + 0.978383, -0.077821, 0.106309, 1.077110, 0.982110, -0.062122, 0.084928, 1.092450, + 0.986517, -0.046385, 0.063352, 1.106510, 0.991696, -0.030935, 0.041970, 1.119030, + 0.996349, -0.015091, 0.020627, 1.130730, 1.000030, 0.000442, -0.000231, 1.141460, + 0.727498, -0.000009, 0.441528, 0.000015, 0.730897, -0.000224, 0.443589, 0.000368, + 0.730796, -0.000894, 0.443528, 0.001473, 0.730805, -0.002011, 0.443533, 0.003314, + 0.730814, -0.003576, 0.443538, 0.005892, 0.730815, -0.005587, 0.443538, 0.009207, + 0.730822, -0.008045, 0.443540, 0.013258, 0.730836, -0.010950, 0.443545, 0.018047, + 0.730848, -0.014301, 0.443546, 0.023573, 0.730871, -0.018097, 0.443552, 0.029838, + 0.730915, -0.022338, 0.443567, 0.036844, 0.730982, -0.027023, 0.443591, 0.044591, + 0.731076, -0.032149, 0.443627, 0.053083, 0.731245, -0.037717, 0.443699, 0.062324, + 0.731440, -0.043722, 0.443777, 0.072318, 0.731700, -0.050158, 0.443881, 0.083069, + 0.732034, -0.056994, 0.444014, 0.094581, 0.732388, -0.063876, 0.444113, 0.106825, + 0.732853, -0.071203, 0.444247, 0.119859, 0.733473, -0.079008, 0.444442, 0.133690, + 0.734195, -0.087194, 0.444645, 0.148304, 0.735069, -0.095696, 0.444877, 0.163702, + 0.736169, -0.104260, 0.445133, 0.179861, 0.737470, -0.112853, 0.445370, 0.196778, + 0.738991, -0.121990, 0.445651, 0.214496, 0.740865, -0.131153, 0.445958, 0.232913, + 0.743637, -0.140245, 0.446548, 0.251977, 0.746797, -0.149722, 0.447246, 0.271551, + 0.751517, -0.159341, 0.448656, 0.291774, 0.756156, -0.169106, 0.449866, 0.312455, + 0.761519, -0.178436, 0.450919, 0.334552, 0.768295, -0.186904, 0.451776, 0.358491, + 0.776613, -0.195117, 0.452832, 0.383446, 0.783966, -0.202695, 0.452490, 0.408945, + 0.793542, -0.209850, 0.452587, 0.435364, 0.803192, -0.216403, 0.451852, 0.462336, + 0.813892, -0.222510, 0.450708, 0.489870, 0.824968, -0.227676, 0.448600, 0.517697, + 0.835859, -0.232443, 0.445156, 0.545975, 0.846825, -0.235775, 0.440351, 0.574483, + 0.858085, -0.237897, 0.433641, 0.604246, 0.868825, -0.238074, 0.425354, 0.634101, + 0.879638, -0.237661, 0.415383, 0.664201, 0.889966, -0.236186, 0.404136, 0.693918, + 0.899479, -0.233599, 0.390917, 0.723481, 0.908769, -0.229737, 0.376352, 0.752580, + 0.917966, -0.223836, 0.360372, 0.781764, 0.926304, -0.217067, 0.342551, 0.811139, + 0.934626, -0.209309, 0.324238, 0.839585, 0.941841, -0.200710, 0.304484, 0.867044, + 0.947890, -0.190602, 0.283607, 0.894579, 0.954196, -0.179253, 0.262205, 0.921743, + 0.958383, -0.167646, 0.239847, 0.948026, 0.963119, -0.155073, 0.218078, 0.973296, + 0.966941, -0.141426, 0.195899, 0.998135, 0.970836, -0.126849, 0.174121, 1.020210, + 0.973301, -0.112296, 0.153052, 1.040850, 0.974480, -0.096496, 0.131733, 1.059460, + 0.977045, -0.080489, 0.109970, 1.076930, 0.980751, -0.064844, 0.088166, 1.092540, + 0.985475, -0.048194, 0.065799, 1.106970, 0.991089, -0.031919, 0.043521, 1.120040, + 0.996122, -0.015809, 0.021478, 1.131730, 1.000010, 0.000372, -0.000200, 1.142910, + 0.708622, -0.000009, 0.453040, 0.000014, 0.711162, -0.000229, 0.454662, 0.000358, + 0.709812, -0.000914, 0.453797, 0.001430, 0.709865, -0.002058, 0.453834, 0.003219, + 0.709864, -0.003659, 0.453833, 0.005723, 0.709855, -0.005717, 0.453826, 0.008943, + 0.709862, -0.008232, 0.453828, 0.012878, 0.709875, -0.011204, 0.453832, 0.017529, + 0.709896, -0.014632, 0.453839, 0.022898, 0.709925, -0.018516, 0.453847, 0.028984, + 0.709974, -0.022855, 0.453866, 0.035789, 0.710045, -0.027647, 0.453892, 0.043316, + 0.710133, -0.032891, 0.453924, 0.051567, 0.710292, -0.038585, 0.453992, 0.060546, + 0.710485, -0.044725, 0.454070, 0.070257, 0.710769, -0.051305, 0.454192, 0.080708, + 0.711106, -0.058273, 0.454329, 0.091896, 0.711516, -0.065287, 0.454460, 0.103814, + 0.712071, -0.072843, 0.454653, 0.116508, 0.712676, -0.080831, 0.454840, 0.129968, + 0.713476, -0.089222, 0.455096, 0.144206, 0.714377, -0.097905, 0.455346, 0.159212, + 0.715579, -0.106531, 0.455647, 0.174973, 0.716977, -0.115492, 0.455961, 0.191504, + 0.718620, -0.124821, 0.456315, 0.208835, 0.720840, -0.134079, 0.456800, 0.226869, + 0.723786, -0.143427, 0.457521, 0.245582, 0.727464, -0.153061, 0.458475, 0.264957, + 0.732771, -0.162768, 0.460239, 0.284948, 0.736515, -0.172627, 0.460899, 0.305220, + 0.743519, -0.182487, 0.463225, 0.326717, 0.750041, -0.191295, 0.464027, 0.350113, + 0.758589, -0.199746, 0.465227, 0.374782, 0.767703, -0.207584, 0.465877, 0.400226, + 0.777484, -0.214973, 0.465996, 0.426442, 0.788792, -0.221796, 0.466019, 0.453688, + 0.800194, -0.228038, 0.465083, 0.481246, 0.811234, -0.233346, 0.462506, 0.509086, + 0.822859, -0.238073, 0.459257, 0.537338, 0.835082, -0.241764, 0.454863, 0.566108, + 0.846332, -0.244241, 0.448163, 0.595126, 0.858355, -0.244736, 0.439709, 0.625574, + 0.870340, -0.244278, 0.429837, 0.656170, 0.881027, -0.242550, 0.418002, 0.686029, + 0.891007, -0.239912, 0.404325, 0.716039, 0.900874, -0.236133, 0.389222, 0.745518, + 0.911072, -0.230672, 0.373269, 0.775026, 0.920359, -0.223560, 0.355083, 0.804521, + 0.928604, -0.215591, 0.335533, 0.834045, 0.937175, -0.206503, 0.315278, 0.861612, + 0.942825, -0.196684, 0.293653, 0.889131, 0.949805, -0.185116, 0.271503, 0.916853, + 0.955535, -0.172703, 0.248821, 0.943541, 0.959843, -0.159978, 0.225591, 0.970132, + 0.964393, -0.146375, 0.202719, 0.994709, 0.968008, -0.131269, 0.179928, 1.018600, + 0.971013, -0.115690, 0.158007, 1.039280, 0.973334, -0.100300, 0.136240, 1.058870, + 0.975775, -0.083335, 0.113800, 1.076520, 0.979579, -0.066898, 0.091314, 1.092970, + 0.984323, -0.050090, 0.068305, 1.107340, 0.990351, -0.033238, 0.045177, 1.120840, + 0.995823, -0.016149, 0.022170, 1.132960, 1.000100, 0.000234, -0.000109, 1.144410, + 0.683895, -0.000009, 0.460150, 0.000014, 0.688330, -0.000233, 0.463134, 0.000347, + 0.688368, -0.000934, 0.463159, 0.001387, 0.688367, -0.002100, 0.463159, 0.003122, + 0.688369, -0.003734, 0.463159, 0.005550, 0.688377, -0.005834, 0.463163, 0.008672, + 0.688386, -0.008401, 0.463166, 0.012488, 0.688398, -0.011434, 0.463169, 0.016999, + 0.688418, -0.014933, 0.463175, 0.022205, 0.688453, -0.018896, 0.463188, 0.028108, + 0.688515, -0.023324, 0.463214, 0.034709, 0.688570, -0.028214, 0.463231, 0.042009, + 0.688679, -0.033564, 0.463276, 0.050013, 0.688854, -0.039373, 0.463356, 0.058725, + 0.689038, -0.045635, 0.463430, 0.068148, 0.689321, -0.052343, 0.463553, 0.078290, + 0.689662, -0.059412, 0.463693, 0.089150, 0.690188, -0.066574, 0.463900, 0.100735, + 0.690755, -0.074311, 0.464107, 0.113074, 0.691405, -0.082472, 0.464329, 0.126161, + 0.692198, -0.091048, 0.464585, 0.140007, 0.693196, -0.099878, 0.464893, 0.154612, + 0.694540, -0.108651, 0.465285, 0.169984, 0.695921, -0.117855, 0.465596, 0.186106, + 0.697749, -0.127340, 0.466056, 0.203034, 0.700375, -0.136714, 0.466771, 0.220703, + 0.703395, -0.146386, 0.467579, 0.239062, 0.707904, -0.156096, 0.469067, 0.258188, + 0.711673, -0.165904, 0.469851, 0.277759, 0.717489, -0.175812, 0.471815, 0.297935, + 0.724051, -0.185931, 0.473890, 0.318916, 0.731965, -0.195238, 0.475870, 0.341591, + 0.741151, -0.204021, 0.477523, 0.366062, 0.751416, -0.212113, 0.478881, 0.391396, + 0.761848, -0.219790, 0.479226, 0.417599, 0.771886, -0.226700, 0.478495, 0.444401, + 0.783998, -0.232991, 0.477622, 0.472084, 0.796523, -0.238645, 0.475833, 0.500193, + 0.808851, -0.243396, 0.472568, 0.528650, 0.821191, -0.247226, 0.467857, 0.557362, + 0.834261, -0.250102, 0.461871, 0.586768, 0.846762, -0.251056, 0.453543, 0.617085, + 0.859867, -0.250604, 0.443494, 0.647659, 0.871948, -0.248783, 0.431711, 0.678119, + 0.882967, -0.245855, 0.417911, 0.708399, 0.892826, -0.242168, 0.401993, 0.738256, + 0.903320, -0.237062, 0.385371, 0.767999, 0.913633, -0.229970, 0.366837, 0.798191, + 0.922774, -0.221687, 0.346372, 0.827756, 0.931371, -0.212345, 0.325682, 0.856425, + 0.938929, -0.202060, 0.303665, 0.884299, 0.944821, -0.190981, 0.280786, 0.912023, + 0.951792, -0.178065, 0.257300, 0.939669, 0.957712, -0.164634, 0.233448, 0.966550, + 0.961912, -0.150863, 0.209504, 0.992366, 0.966382, -0.135770, 0.185970, 1.016330, + 0.969588, -0.119593, 0.162905, 1.038430, 0.971777, -0.103203, 0.140530, 1.058410, + 0.974330, -0.086589, 0.117909, 1.076320, 0.978686, -0.069083, 0.094410, 1.093260, + 0.983281, -0.051657, 0.070567, 1.107960, 0.989562, -0.034558, 0.046859, 1.121820, + 0.995465, -0.016781, 0.022985, 1.134200, 0.999991, 0.000373, -0.000236, 1.145900, + 0.662251, -0.000009, 0.468575, 0.000013, 0.666634, -0.000238, 0.471675, 0.000336, + 0.666411, -0.000950, 0.471516, 0.001343, 0.666399, -0.002138, 0.471509, 0.003022, + 0.666386, -0.003801, 0.471499, 0.005373, 0.666405, -0.005940, 0.471511, 0.008395, + 0.666406, -0.008553, 0.471508, 0.012090, 0.666428, -0.011640, 0.471519, 0.016457, + 0.666444, -0.015201, 0.471522, 0.021497, 0.666490, -0.019236, 0.471543, 0.027212, + 0.666537, -0.023743, 0.471558, 0.033603, 0.666617, -0.028720, 0.471591, 0.040673, + 0.666718, -0.034165, 0.471631, 0.048424, 0.666889, -0.040076, 0.471710, 0.056862, + 0.667104, -0.046448, 0.471805, 0.065991, 0.667374, -0.053268, 0.471923, 0.075818, + 0.667772, -0.060380, 0.472098, 0.086343, 0.668371, -0.067739, 0.472363, 0.097592, + 0.668971, -0.075603, 0.472596, 0.109567, 0.669696, -0.083929, 0.472869, 0.122272, + 0.670481, -0.092668, 0.473126, 0.135718, 0.671500, -0.101600, 0.473442, 0.149914, + 0.672911, -0.110566, 0.473890, 0.164882, 0.674512, -0.119984, 0.474354, 0.180602, + 0.676510, -0.129574, 0.474922, 0.197110, 0.679292, -0.139106, 0.475764, 0.214371, + 0.682798, -0.148993, 0.476886, 0.232405, 0.686955, -0.158737, 0.478179, 0.251153, + 0.691406, -0.168754, 0.479432, 0.270436, 0.697438, -0.178703, 0.481481, 0.290374, + 0.704761, -0.188955, 0.484143, 0.311044, 0.713599, -0.198814, 0.487007, 0.333003, + 0.723194, -0.207869, 0.488962, 0.357144, 0.732601, -0.216189, 0.489815, 0.382169, + 0.744193, -0.223980, 0.490888, 0.408227, 0.754907, -0.231156, 0.490355, 0.434928, + 0.767403, -0.237470, 0.489548, 0.462599, 0.781070, -0.243503, 0.488274, 0.490908, + 0.793893, -0.248114, 0.484843, 0.519421, 0.807296, -0.252220, 0.480300, 0.548561, + 0.820529, -0.255265, 0.474097, 0.577772, 0.833716, -0.256741, 0.466041, 0.607782, + 0.848403, -0.256370, 0.456547, 0.638807, 0.860755, -0.254804, 0.443946, 0.670058, + 0.874012, -0.251834, 0.430852, 0.700749, 0.885619, -0.247867, 0.414903, 0.731446, + 0.896069, -0.242634, 0.397276, 0.761191, 0.906266, -0.236093, 0.378535, 0.791053, + 0.916759, -0.227543, 0.358038, 0.821298, 0.925230, -0.217830, 0.335705, 0.850747, + 0.934360, -0.207534, 0.313797, 0.879258, 0.941631, -0.195983, 0.289671, 0.907734, + 0.947564, -0.183567, 0.265319, 0.935206, 0.953681, -0.169345, 0.240815, 0.962739, + 0.960008, -0.154909, 0.216119, 0.989227, 0.964145, -0.140161, 0.192096, 1.014650, + 0.968171, -0.123411, 0.167855, 1.037370, 0.969859, -0.106525, 0.144817, 1.057670, + 0.972666, -0.089102, 0.121490, 1.076100, 0.977055, -0.071809, 0.097531, 1.093360, + 0.982527, -0.053421, 0.073022, 1.108780, 0.989001, -0.035558, 0.048337, 1.122850, + 0.995120, -0.017638, 0.023938, 1.135480, 1.000070, 0.000369, -0.000212, 1.147440, + 0.651047, -0.000010, 0.484101, 0.000013, 0.644145, -0.000241, 0.478968, 0.000325, + 0.643960, -0.000965, 0.478831, 0.001298, 0.643960, -0.002172, 0.478830, 0.002920, + 0.643968, -0.003860, 0.478835, 0.005192, 0.643974, -0.006032, 0.478838, 0.008113, + 0.643977, -0.008685, 0.478836, 0.011683, 0.643982, -0.011821, 0.478834, 0.015903, + 0.644024, -0.015437, 0.478856, 0.020774, 0.644059, -0.019534, 0.478868, 0.026298, + 0.644122, -0.024110, 0.478896, 0.032475, 0.644207, -0.029164, 0.478933, 0.039309, + 0.644320, -0.034692, 0.478981, 0.046803, 0.644481, -0.040692, 0.479053, 0.054961, + 0.644722, -0.047159, 0.479169, 0.063791, 0.645013, -0.054075, 0.479302, 0.073297, + 0.645503, -0.061200, 0.479541, 0.083490, 0.646117, -0.068730, 0.479829, 0.094387, + 0.646707, -0.076785, 0.480061, 0.105991, 0.647431, -0.085247, 0.480343, 0.118310, + 0.648310, -0.094072, 0.480660, 0.131348, 0.649486, -0.103056, 0.481083, 0.145140, + 0.650864, -0.112261, 0.481528, 0.159676, 0.652604, -0.121852, 0.482102, 0.174979, + 0.654825, -0.131505, 0.482813, 0.191079, 0.657876, -0.141189, 0.483876, 0.207927, + 0.661339, -0.151239, 0.484990, 0.225586, 0.665463, -0.161091, 0.486279, 0.243947, + 0.670542, -0.171235, 0.487968, 0.262957, 0.677361, -0.181347, 0.490530, 0.282781, + 0.685672, -0.191679, 0.493862, 0.303311, 0.694551, -0.201781, 0.496990, 0.324607, + 0.703753, -0.211164, 0.498884, 0.347916, 0.713703, -0.219675, 0.500086, 0.372628, + 0.725911, -0.227836, 0.501554, 0.398694, 0.738620, -0.235330, 0.502193, 0.425529, + 0.752118, -0.241786, 0.501811, 0.453209, 0.765790, -0.247865, 0.500185, 0.481381, + 0.779568, -0.252696, 0.497159, 0.510110, 0.793991, -0.256802, 0.492765, 0.539322, + 0.808182, -0.259942, 0.486827, 0.569078, 0.821698, -0.261703, 0.478386, 0.598818, + 0.836009, -0.262006, 0.468772, 0.629762, 0.849824, -0.260333, 0.456352, 0.661366, + 0.863888, -0.257398, 0.442533, 0.692950, 0.876585, -0.253264, 0.426573, 0.723608, + 0.888665, -0.248026, 0.408964, 0.754378, 0.899537, -0.241487, 0.389677, 0.784761, + 0.909400, -0.233463, 0.368516, 0.814688, 0.920166, -0.223397, 0.346624, 0.845009, + 0.928899, -0.212550, 0.322717, 0.874431, 0.937156, -0.200869, 0.298698, 0.902922, + 0.943861, -0.188387, 0.273491, 0.931356, 0.949557, -0.174341, 0.247866, 0.958854, + 0.955862, -0.158994, 0.222496, 0.986098, 0.961721, -0.143664, 0.197522, 1.012290, + 0.965976, -0.127412, 0.173020, 1.035710, 0.968652, -0.109798, 0.148954, 1.056990, + 0.971084, -0.091679, 0.125044, 1.075870, 0.975584, -0.073963, 0.100577, 1.093720, + 0.981220, -0.055322, 0.075367, 1.109480, 0.988253, -0.036682, 0.049890, 1.123940, + 0.994820, -0.018039, 0.024611, 1.136940, 1.000010, 0.000230, -0.000188, 1.149190, + 0.613867, -0.000010, 0.479449, 0.000012, 0.621485, -0.000245, 0.485399, 0.000313, + 0.621429, -0.000978, 0.485353, 0.001252, 0.621120, -0.002200, 0.485114, 0.002817, + 0.621119, -0.003911, 0.485112, 0.005008, 0.621122, -0.006111, 0.485112, 0.007825, + 0.621133, -0.008799, 0.485117, 0.011269, 0.621152, -0.011976, 0.485125, 0.015339, + 0.621183, -0.015640, 0.485139, 0.020038, 0.621227, -0.019790, 0.485158, 0.025366, + 0.621298, -0.024425, 0.485192, 0.031326, 0.621388, -0.029544, 0.485233, 0.037920, + 0.621507, -0.035143, 0.485286, 0.045152, 0.621693, -0.041220, 0.485378, 0.053028, + 0.621933, -0.047767, 0.485495, 0.061552, 0.622232, -0.054757, 0.485635, 0.070732, + 0.622809, -0.061942, 0.485943, 0.080588, 0.623407, -0.069625, 0.486232, 0.091127, + 0.624060, -0.077796, 0.486516, 0.102354, 0.624835, -0.086373, 0.486838, 0.114279, + 0.625758, -0.095251, 0.487188, 0.126902, 0.627043, -0.104299, 0.487695, 0.140285, + 0.628438, -0.113724, 0.488163, 0.154397, 0.630325, -0.123417, 0.488858, 0.169267, + 0.632801, -0.133137, 0.489754, 0.184941, 0.635784, -0.143052, 0.490815, 0.201360, + 0.639406, -0.153132, 0.492048, 0.218643, 0.643872, -0.163143, 0.493630, 0.236615, + 0.649900, -0.173330, 0.496009, 0.255449, 0.657201, -0.183622, 0.498994, 0.275006, + 0.666221, -0.194019, 0.502888, 0.295354, 0.674419, -0.204192, 0.505459, 0.316244, + 0.683729, -0.214060, 0.507771, 0.338490, 0.695584, -0.222854, 0.510245, 0.363166, + 0.708583, -0.231315, 0.512293, 0.389071, 0.721233, -0.238911, 0.512747, 0.415737, + 0.735134, -0.245657, 0.512482, 0.443331, 0.750179, -0.251879, 0.511526, 0.471891, + 0.765073, -0.256911, 0.508935, 0.500892, 0.779794, -0.261144, 0.504341, 0.530294, + 0.794801, -0.264316, 0.498515, 0.560144, 0.810339, -0.266276, 0.491015, 0.590213, + 0.824818, -0.266981, 0.481126, 0.620865, 0.839375, -0.265778, 0.468685, 0.652687, + 0.853043, -0.262748, 0.453925, 0.684759, 0.867335, -0.258474, 0.437912, 0.716209, + 0.880370, -0.253187, 0.419648, 0.747508, 0.891711, -0.246476, 0.399820, 0.777970, + 0.902896, -0.238735, 0.378790, 0.808586, 0.913601, -0.228850, 0.355891, 0.838843, + 0.923019, -0.217656, 0.331773, 0.869014, 0.933432, -0.205539, 0.307356, 0.898512, + 0.939691, -0.192595, 0.281321, 0.926900, 0.946938, -0.178945, 0.255441, 0.955297, + 0.952372, -0.163587, 0.229013, 0.983231, 0.959090, -0.147214, 0.203179, 1.009710, + 0.963675, -0.130640, 0.177920, 1.034380, 0.968247, -0.113121, 0.152898, 1.056250, + 0.970010, -0.094582, 0.128712, 1.075980, 0.974458, -0.075565, 0.103349, 1.094000, + 0.980168, -0.057200, 0.077673, 1.110400, 0.987295, -0.037799, 0.051444, 1.124910, + 0.994432, -0.018642, 0.025429, 1.138510, 0.999975, 0.000543, -0.000282, 1.151080, + 0.592656, -0.000010, 0.486018, 0.000012, 0.598467, -0.000247, 0.490781, 0.000302, + 0.597934, -0.000988, 0.490343, 0.001205, 0.597903, -0.002224, 0.490319, 0.002712, + 0.597913, -0.003953, 0.490327, 0.004821, 0.597919, -0.006177, 0.490329, 0.007533, + 0.597936, -0.008894, 0.490339, 0.010848, 0.597956, -0.012104, 0.490347, 0.014767, + 0.597992, -0.015807, 0.490365, 0.019290, 0.598032, -0.020002, 0.490382, 0.024420, + 0.598109, -0.024687, 0.490420, 0.030159, 0.598215, -0.029859, 0.490474, 0.036510, + 0.598330, -0.035517, 0.490524, 0.043476, 0.598525, -0.041656, 0.490624, 0.051063, + 0.598778, -0.048269, 0.490753, 0.059278, 0.599135, -0.055311, 0.490940, 0.068130, + 0.599802, -0.062542, 0.491328, 0.077647, 0.600361, -0.070364, 0.491598, 0.087818, + 0.601010, -0.078626, 0.491882, 0.098657, 0.601811, -0.087296, 0.492232, 0.110180, + 0.602861, -0.096228, 0.492684, 0.122400, 0.604167, -0.105380, 0.493213, 0.135354, + 0.605693, -0.114896, 0.493799, 0.149034, 0.607682, -0.124654, 0.494576, 0.163469, + 0.610672, -0.134560, 0.495900, 0.178747, 0.613313, -0.144581, 0.496713, 0.194723, + 0.617603, -0.154703, 0.498499, 0.211617, 0.622174, -0.164890, 0.500188, 0.229183, + 0.628855, -0.175164, 0.503072, 0.247786, 0.636963, -0.185565, 0.506798, 0.267116, + 0.644866, -0.195911, 0.509719, 0.287020, 0.653741, -0.206104, 0.512776, 0.307763, + 0.664942, -0.216447, 0.516812, 0.329631, 0.676330, -0.225520, 0.519181, 0.353515, + 0.690012, -0.234316, 0.521681, 0.379226, 0.704243, -0.242032, 0.523129, 0.405901, + 0.719396, -0.249172, 0.523768, 0.433585, 0.734471, -0.255543, 0.522541, 0.462085, + 0.750539, -0.260697, 0.520217, 0.491233, 0.766365, -0.265010, 0.516293, 0.521094, + 0.781677, -0.268409, 0.509708, 0.551014, 0.797132, -0.270399, 0.501944, 0.581463, + 0.812655, -0.271247, 0.492025, 0.612402, 0.828592, -0.270708, 0.480424, 0.643798, + 0.844044, -0.268085, 0.465955, 0.676820, 0.857305, -0.263459, 0.448425, 0.708496, + 0.871140, -0.258151, 0.430243, 0.740460, 0.884936, -0.251171, 0.410578, 0.771583, + 0.895772, -0.243305, 0.388620, 0.802234, 0.906961, -0.234037, 0.365214, 0.833179, + 0.917775, -0.222714, 0.341160, 0.863530, 0.927883, -0.210175, 0.315720, 0.893557, + 0.936617, -0.196925, 0.289159, 0.922976, 0.943384, -0.182788, 0.261996, 0.951606, + 0.949713, -0.167965, 0.235324, 0.979958, 0.955818, -0.151109, 0.208408, 1.007650, + 0.961344, -0.133834, 0.182591, 1.033290, 0.965469, -0.115987, 0.156958, 1.055700, + 0.968693, -0.097460, 0.132239, 1.075830, 0.973165, -0.077851, 0.106195, 1.094510, + 0.979387, -0.058507, 0.079767, 1.111370, 0.986710, -0.039041, 0.053026, 1.126430, + 0.994093, -0.019408, 0.026316, 1.140160, 1.000020, 0.000540, -0.000194, 1.152990, + 0.574483, -0.000010, 0.494533, 0.000011, 0.574478, -0.000249, 0.494528, 0.000289, + 0.574607, -0.000997, 0.494637, 0.001158, 0.574396, -0.002242, 0.494458, 0.002605, + 0.574377, -0.003986, 0.494440, 0.004631, 0.574386, -0.006228, 0.494445, 0.007236, + 0.574401, -0.008968, 0.494453, 0.010421, 0.574419, -0.012206, 0.494460, 0.014186, + 0.574459, -0.015940, 0.494481, 0.018532, 0.574525, -0.020169, 0.494520, 0.023462, + 0.574587, -0.024892, 0.494547, 0.028976, 0.574697, -0.030107, 0.494604, 0.035080, + 0.574853, -0.035811, 0.494688, 0.041777, 0.575027, -0.041999, 0.494772, 0.049072, + 0.575294, -0.048662, 0.494915, 0.056973, 0.575733, -0.055715, 0.495173, 0.065495, + 0.576356, -0.063049, 0.495537, 0.074661, 0.576944, -0.070929, 0.495836, 0.084461, + 0.577650, -0.079272, 0.496177, 0.094914, 0.578491, -0.088017, 0.496563, 0.106030, + 0.579639, -0.096946, 0.497096, 0.117841, 0.580989, -0.106220, 0.497684, 0.130367, + 0.582587, -0.115861, 0.498337, 0.143609, 0.584951, -0.125605, 0.499414, 0.157625, + 0.587602, -0.135608, 0.500518, 0.172413, 0.590760, -0.145742, 0.501767, 0.187999, + 0.594992, -0.155934, 0.503542, 0.204450, 0.600656, -0.166303, 0.506135, 0.221764, + 0.607816, -0.176681, 0.509542, 0.240020, 0.615220, -0.187071, 0.512630, 0.258992, + 0.623702, -0.197465, 0.516021, 0.278773, 0.634192, -0.207816, 0.520422, 0.299377, + 0.644936, -0.218183, 0.524073, 0.320802, 0.657888, -0.227800, 0.528049, 0.343840, + 0.670666, -0.236747, 0.529860, 0.369160, 0.685626, -0.244840, 0.531892, 0.395867, + 0.701304, -0.252071, 0.532727, 0.423488, 0.717727, -0.258714, 0.532146, 0.452201, + 0.733914, -0.264211, 0.529883, 0.481579, 0.750529, -0.268590, 0.525900, 0.511558, + 0.767470, -0.272046, 0.519990, 0.542042, 0.785189, -0.274225, 0.513083, 0.572799, + 0.800954, -0.275189, 0.502936, 0.603816, 0.816962, -0.274946, 0.490921, 0.635461, + 0.833360, -0.272695, 0.476840, 0.667600, 0.848143, -0.268223, 0.459405, 0.700510, + 0.861818, -0.262768, 0.440319, 0.732902, 0.876828, -0.255872, 0.420123, 0.765084, + 0.889312, -0.247703, 0.398379, 0.796391, 0.900412, -0.238381, 0.374496, 0.827333, + 0.912251, -0.227783, 0.349874, 0.858385, 0.921792, -0.214832, 0.323181, 0.888652, + 0.931273, -0.200949, 0.296624, 0.917763, 0.940295, -0.186537, 0.269211, 0.947878, + 0.946812, -0.171538, 0.241447, 0.977016, 0.953588, -0.155254, 0.213829, 1.005010, + 0.958841, -0.137156, 0.186807, 1.031790, 0.963746, -0.118699, 0.160706, 1.055020, + 0.966468, -0.099836, 0.135504, 1.075680, 0.971178, -0.080519, 0.109131, 1.094790, + 0.978310, -0.059935, 0.081829, 1.112300, 0.985886, -0.039966, 0.054587, 1.127710, + 0.994021, -0.019868, 0.026940, 1.141860, 1.000090, 0.000271, -0.000130, 1.155140, + 0.538716, -0.000010, 0.486732, 0.000011, 0.550656, -0.000251, 0.497518, 0.000277, + 0.550570, -0.001003, 0.497441, 0.001110, 0.550903, -0.002257, 0.497733, 0.002498, + 0.550568, -0.004010, 0.497438, 0.004439, 0.550574, -0.006266, 0.497440, 0.006936, + 0.550591, -0.009023, 0.497449, 0.009989, 0.550623, -0.012280, 0.497469, 0.013598, + 0.550667, -0.016036, 0.497495, 0.017765, 0.550724, -0.020291, 0.497526, 0.022492, + 0.550792, -0.025042, 0.497557, 0.027779, 0.550918, -0.030288, 0.497630, 0.033633, + 0.551058, -0.036024, 0.497701, 0.040057, 0.551276, -0.042247, 0.497824, 0.047059, + 0.551551, -0.048944, 0.497977, 0.054643, 0.552074, -0.055960, 0.498312, 0.062837, + 0.552681, -0.063398, 0.498679, 0.071646, 0.553324, -0.071318, 0.499031, 0.081075, + 0.554011, -0.079727, 0.499365, 0.091129, 0.554880, -0.088524, 0.499779, 0.101837, + 0.556171, -0.097442, 0.500444, 0.113239, 0.557498, -0.106841, 0.501025, 0.125316, + 0.559299, -0.116533, 0.501864, 0.138128, 0.561647, -0.126298, 0.502967, 0.151695, + 0.564347, -0.136388, 0.504129, 0.166040, 0.567863, -0.146576, 0.505713, 0.181207, + 0.572569, -0.156832, 0.507953, 0.197259, 0.578919, -0.167323, 0.511186, 0.214258, + 0.585387, -0.177712, 0.514042, 0.232038, 0.593134, -0.188184, 0.517484, 0.250733, + 0.603295, -0.198717, 0.522345, 0.270454, 0.613854, -0.209177, 0.526751, 0.290807, + 0.626092, -0.219644, 0.531595, 0.312202, 0.637868, -0.229494, 0.534721, 0.334435, + 0.652458, -0.238718, 0.538304, 0.359184, 0.666985, -0.247061, 0.539875, 0.385637, + 0.683301, -0.254652, 0.541042, 0.413280, 0.699980, -0.261376, 0.540735, 0.441903, + 0.717824, -0.267085, 0.539139, 0.471609, 0.734617, -0.271465, 0.534958, 0.501446, + 0.753663, -0.275280, 0.530320, 0.532571, 0.770512, -0.277617, 0.522134, 0.563641, + 0.787356, -0.278525, 0.512060, 0.595067, 0.806252, -0.278512, 0.501190, 0.627226, + 0.822061, -0.277023, 0.486791, 0.659402, 0.838959, -0.273175, 0.470467, 0.692874, + 0.853790, -0.267238, 0.450688, 0.725702, 0.868268, -0.260327, 0.429741, 0.758320, + 0.881994, -0.251946, 0.407223, 0.790189, 0.893885, -0.242432, 0.383214, 0.821625, + 0.905118, -0.231904, 0.357297, 0.853011, 0.916045, -0.219545, 0.330733, 0.883773, + 0.927614, -0.205378, 0.303916, 0.914435, 0.936005, -0.190388, 0.275941, 0.944502, + 0.944533, -0.174900, 0.247493, 0.974439, 0.950758, -0.158588, 0.218996, 1.002860, + 0.957078, -0.141027, 0.191559, 1.030400, 0.962448, -0.121507, 0.164457, 1.054660, + 0.964993, -0.102068, 0.138636, 1.076100, 0.970017, -0.082260, 0.111861, 1.095410, + 0.976610, -0.062033, 0.084344, 1.113170, 0.985073, -0.040983, 0.055850, 1.129110, + 0.993515, -0.020146, 0.027533, 1.143800, 1.000060, 0.000273, -0.000108, 1.157360, + 0.525324, -0.000010, 0.498153, 0.000011, 0.526513, -0.000252, 0.499277, 0.000265, + 0.526517, -0.001006, 0.499282, 0.001061, 0.526588, -0.002265, 0.499337, 0.002388, + 0.526539, -0.004026, 0.499302, 0.004245, 0.526547, -0.006290, 0.499306, 0.006634, + 0.526561, -0.009056, 0.499313, 0.009553, 0.526593, -0.012325, 0.499334, 0.013005, + 0.526642, -0.016096, 0.499365, 0.016991, 0.526700, -0.020366, 0.499396, 0.021512, + 0.526792, -0.025135, 0.499451, 0.026572, 0.526904, -0.030398, 0.499511, 0.032173, + 0.527079, -0.036155, 0.499617, 0.038323, 0.527285, -0.042398, 0.499731, 0.045026, + 0.527602, -0.049112, 0.499924, 0.052294, 0.528166, -0.056113, 0.500306, 0.060153, + 0.528790, -0.063599, 0.500700, 0.068606, 0.529421, -0.071581, 0.501048, 0.077652, + 0.530144, -0.079985, 0.501421, 0.087315, 0.531062, -0.088803, 0.501884, 0.097608, + 0.532374, -0.097764, 0.502590, 0.108588, 0.533828, -0.107197, 0.503290, 0.120234, + 0.535810, -0.116887, 0.504312, 0.132602, 0.538063, -0.126755, 0.505365, 0.145721, + 0.540900, -0.136819, 0.506668, 0.159617, 0.544882, -0.147117, 0.508731, 0.174369, + 0.550238, -0.157446, 0.511601, 0.190028, 0.556038, -0.167988, 0.514431, 0.206587, + 0.563031, -0.178364, 0.517808, 0.224046, 0.571543, -0.189007, 0.521937, 0.242503, + 0.582255, -0.199546, 0.527415, 0.261977, 0.592720, -0.210084, 0.531682, 0.282162, + 0.605648, -0.220448, 0.537123, 0.303426, 0.617850, -0.230593, 0.540664, 0.325323, + 0.632223, -0.240238, 0.544467, 0.348993, 0.648819, -0.248870, 0.547594, 0.375462, + 0.665825, -0.256657, 0.549120, 0.403024, 0.683389, -0.263711, 0.549294, 0.431773, + 0.701495, -0.269666, 0.547649, 0.461494, 0.719197, -0.274169, 0.543786, 0.491623, + 0.737906, -0.278124, 0.538644, 0.522994, 0.756652, -0.280632, 0.531057, 0.554775, + 0.775279, -0.281741, 0.521972, 0.586441, 0.792688, -0.281652, 0.509613, 0.618596, + 0.811894, -0.280345, 0.496497, 0.651462, 0.827938, -0.277128, 0.479680, 0.684023, + 0.844837, -0.271646, 0.460688, 0.718024, 0.859239, -0.264397, 0.438872, 0.751207, + 0.874088, -0.256144, 0.415770, 0.784232, 0.887693, -0.246311, 0.391369, 0.816191, + 0.899402, -0.235497, 0.365872, 0.847828, 0.910973, -0.223631, 0.338618, 0.879340, + 0.922040, -0.209874, 0.310803, 0.910325, 0.930987, -0.194265, 0.281802, 0.940695, + 0.940000, -0.178125, 0.252836, 0.970958, 0.948018, -0.161479, 0.224239, 1.000780, + 0.955141, -0.144038, 0.195857, 1.028800, 0.960513, -0.124915, 0.168487, 1.053710, + 0.963964, -0.104284, 0.141495, 1.075960, 0.968713, -0.083873, 0.114437, 1.096280, + 0.975524, -0.063558, 0.086310, 1.114480, 0.984310, -0.042291, 0.057477, 1.130690, + 0.992916, -0.020913, 0.028434, 1.145680, 0.999926, 0.000743, -0.000379, 1.159550, + 0.501042, -0.000010, 0.498726, 0.000010, 0.502992, -0.000252, 0.500665, 0.000253, + 0.502417, -0.001008, 0.500092, 0.001013, 0.502965, -0.002269, 0.500621, 0.002280, + 0.502318, -0.004031, 0.499994, 0.004050, 0.502333, -0.006298, 0.500005, 0.006329, + 0.502362, -0.009069, 0.500027, 0.009114, 0.502369, -0.012342, 0.500023, 0.012408, + 0.502430, -0.016118, 0.500066, 0.016211, 0.502493, -0.020394, 0.500103, 0.020526, + 0.502592, -0.025168, 0.500166, 0.025355, 0.502707, -0.030439, 0.500230, 0.030703, + 0.502881, -0.036201, 0.500335, 0.036575, 0.503124, -0.042451, 0.500488, 0.042980, + 0.503443, -0.049158, 0.500686, 0.049927, 0.504083, -0.056148, 0.501155, 0.057454, + 0.504668, -0.063685, 0.501524, 0.065541, 0.505319, -0.071683, 0.501904, 0.074207, + 0.506090, -0.080092, 0.502321, 0.083470, 0.507122, -0.088843, 0.502896, 0.093360, + 0.508414, -0.097855, 0.503603, 0.103910, 0.509955, -0.107304, 0.504416, 0.115113, + 0.512061, -0.116921, 0.505565, 0.127054, 0.514419, -0.126890, 0.506732, 0.139709, + 0.517529, -0.136934, 0.508338, 0.153173, 0.522085, -0.147327, 0.510987, 0.167528, + 0.526986, -0.157612, 0.513527, 0.182708, 0.533122, -0.168213, 0.516717, 0.198881, + 0.540807, -0.178688, 0.520832, 0.215986, 0.550687, -0.189511, 0.526320, 0.234335, + 0.560567, -0.199998, 0.531009, 0.253375, 0.571698, -0.210652, 0.535839, 0.273499, + 0.584364, -0.220917, 0.541091, 0.294355, 0.599066, -0.231370, 0.546875, 0.316525, + 0.614148, -0.241206, 0.551306, 0.339671, 0.631157, -0.250379, 0.555187, 0.365310, + 0.647919, -0.258397, 0.556595, 0.392767, 0.666112, -0.265528, 0.556949, 0.421397, + 0.686158, -0.271827, 0.556617, 0.451433, 0.704838, -0.276740, 0.552975, 0.482131, + 0.723957, -0.280733, 0.547814, 0.513458, 0.742620, -0.283359, 0.539970, 0.545446, + 0.762009, -0.284541, 0.530422, 0.577750, 0.781314, -0.284507, 0.518546, 0.610434, + 0.799116, -0.283309, 0.504178, 0.643178, 0.817604, -0.280378, 0.488430, 0.676248, + 0.834590, -0.275619, 0.469457, 0.709698, 0.850974, -0.268560, 0.447698, 0.744245, + 0.866747, -0.260094, 0.424791, 0.777695, 0.881412, -0.249929, 0.399913, 0.810392, + 0.893600, -0.239137, 0.373080, 0.842872, 0.905943, -0.226818, 0.345705, 0.874677, + 0.916408, -0.213699, 0.317060, 0.906257, 0.927215, -0.198428, 0.288444, 0.936881, + 0.935625, -0.181643, 0.258329, 0.967950, 0.944076, -0.164386, 0.228488, 0.998216, + 0.951229, -0.146339, 0.199763, 1.026890, 0.958793, -0.127709, 0.172153, 1.053500, + 0.963219, -0.107244, 0.144989, 1.076460, 0.967562, -0.085776, 0.116850, 1.096750, + 0.974866, -0.064538, 0.088057, 1.115760, 0.983353, -0.043173, 0.058735, 1.132270, + 0.992503, -0.021836, 0.029418, 1.147800, 1.000030, 0.000605, -0.000231, 1.162070, + 0.482935, -0.000010, 0.504695, 0.000010, 0.477554, -0.000252, 0.499071, 0.000241, + 0.477904, -0.001007, 0.499436, 0.000963, 0.478368, -0.002266, 0.499899, 0.002169, + 0.477977, -0.004027, 0.499513, 0.003854, 0.477993, -0.006292, 0.499525, 0.006022, + 0.478011, -0.009060, 0.499536, 0.008673, 0.478051, -0.012330, 0.499566, 0.011807, + 0.478089, -0.016102, 0.499587, 0.015427, 0.478171, -0.020374, 0.499645, 0.019534, + 0.478254, -0.025143, 0.499692, 0.024132, 0.478390, -0.030407, 0.499779, 0.029225, + 0.478588, -0.036163, 0.499911, 0.034820, 0.478812, -0.042402, 0.500046, 0.040923, + 0.479208, -0.049072, 0.500326, 0.047552, 0.479841, -0.056072, 0.500805, 0.054738, + 0.480392, -0.063613, 0.501152, 0.062461, 0.481068, -0.071613, 0.501561, 0.070747, + 0.481898, -0.080006, 0.502054, 0.079612, 0.483022, -0.088657, 0.502728, 0.089097, + 0.484332, -0.097755, 0.503479, 0.099210, 0.486126, -0.107173, 0.504546, 0.109990, + 0.488066, -0.116770, 0.505570, 0.121476, 0.490521, -0.126725, 0.506849, 0.133672, + 0.494232, -0.136793, 0.509110, 0.146731, 0.498302, -0.147116, 0.511345, 0.160577, + 0.503565, -0.157446, 0.514344, 0.175335, 0.510902, -0.168121, 0.518824, 0.191207, + 0.519263, -0.178799, 0.523666, 0.208058, 0.528204, -0.189407, 0.528296, 0.225875, + 0.538854, -0.200145, 0.533724, 0.244782, 0.551278, -0.210701, 0.539833, 0.264753, + 0.565222, -0.221303, 0.546131, 0.285745, 0.579403, -0.231688, 0.551496, 0.307592, + 0.595469, -0.241718, 0.556809, 0.330582, 0.610929, -0.250992, 0.559641, 0.354995, + 0.629433, -0.259602, 0.562379, 0.382471, 0.648504, -0.267038, 0.563676, 0.411126, + 0.667560, -0.273388, 0.562092, 0.440924, 0.689143, -0.278788, 0.560807, 0.472118, + 0.709056, -0.282783, 0.555701, 0.503774, 0.729855, -0.285836, 0.548698, 0.536364, + 0.748954, -0.287078, 0.538544, 0.568950, 0.768373, -0.287133, 0.526711, 0.601991, + 0.788270, -0.285839, 0.512511, 0.635403, 0.807465, -0.283238, 0.496323, 0.668797, + 0.825194, -0.279060, 0.477638, 0.702584, 0.842203, -0.272286, 0.456253, 0.736393, + 0.857749, -0.263854, 0.432412, 0.770960, 0.874799, -0.253943, 0.407806, 0.804890, + 0.887497, -0.242370, 0.380330, 0.837710, 0.899660, -0.230278, 0.352446, 0.870376, + 0.911753, -0.216460, 0.323268, 0.902256, 0.923011, -0.202071, 0.294314, 0.933306, + 0.932375, -0.185519, 0.264104, 0.965177, 0.940537, -0.167604, 0.234035, 0.996303, + 0.948904, -0.149068, 0.204120, 1.026100, 0.955263, -0.129539, 0.175431, 1.053040, + 0.960303, -0.109932, 0.148116, 1.076170, 0.965512, -0.088057, 0.119693, 1.097420, + 0.973466, -0.066055, 0.090162, 1.117210, 0.982840, -0.043923, 0.059987, 1.134360, + 0.992216, -0.021959, 0.029898, 1.150060, 0.999946, 0.000119, -0.000021, 1.164710, + 0.447827, -0.000010, 0.491543, 0.000009, 0.454778, -0.000251, 0.499172, 0.000229, + 0.453519, -0.001003, 0.497787, 0.000914, 0.453570, -0.002258, 0.497847, 0.002057, + 0.453578, -0.004014, 0.497855, 0.003657, 0.453570, -0.006271, 0.497841, 0.005715, + 0.453598, -0.009030, 0.497864, 0.008230, 0.453627, -0.012289, 0.497882, 0.011205, + 0.453684, -0.016047, 0.497923, 0.014641, 0.453764, -0.020304, 0.497980, 0.018539, + 0.453866, -0.025058, 0.498049, 0.022905, 0.453996, -0.030303, 0.498130, 0.027742, + 0.454196, -0.036038, 0.498267, 0.033059, 0.454457, -0.042252, 0.498445, 0.038861, + 0.454926, -0.048839, 0.498812, 0.045177, 0.455525, -0.055865, 0.499272, 0.052015, + 0.456074, -0.063377, 0.499625, 0.059375, 0.456752, -0.071361, 0.500049, 0.067275, + 0.457648, -0.079710, 0.500615, 0.075745, 0.458849, -0.088303, 0.501399, 0.084823, + 0.460290, -0.097409, 0.502293, 0.094514, 0.462000, -0.106729, 0.503301, 0.104848, + 0.464121, -0.116354, 0.504533, 0.115884, 0.466889, -0.126214, 0.506172, 0.127652, + 0.470744, -0.136324, 0.508667, 0.140240, 0.474880, -0.146595, 0.510995, 0.153673, + 0.480845, -0.157027, 0.514832, 0.168053, 0.488262, -0.167658, 0.519506, 0.183508, + 0.496547, -0.178343, 0.524347, 0.199948, 0.506254, -0.188916, 0.529830, 0.217503, + 0.517961, -0.199975, 0.536357, 0.236272, 0.531484, -0.210624, 0.543641, 0.256096, + 0.545496, -0.221227, 0.550048, 0.277085, 0.559497, -0.231568, 0.555076, 0.298615, + 0.575752, -0.241698, 0.560541, 0.321547, 0.591999, -0.251172, 0.564156, 0.345602, + 0.610654, -0.260178, 0.567607, 0.371851, 0.630484, -0.268094, 0.569230, 0.400760, + 0.651807, -0.274661, 0.569779, 0.430801, 0.672390, -0.280331, 0.566791, 0.461939, + 0.693024, -0.284501, 0.562007, 0.493854, 0.715473, -0.287852, 0.555791, 0.526992, + 0.736323, -0.289290, 0.546345, 0.560102, 0.755771, -0.289405, 0.534000, 0.593543, + 0.775424, -0.288100, 0.519114, 0.627256, 0.795447, -0.285562, 0.502543, 0.661464, + 0.815319, -0.281416, 0.484773, 0.695206, 0.831769, -0.275523, 0.463445, 0.729044, + 0.849464, -0.267516, 0.440269, 0.764069, 0.866775, -0.257584, 0.415049, 0.799089, + 0.881252, -0.245817, 0.388049, 0.831948, 0.894209, -0.233127, 0.358890, 0.865526, + 0.906922, -0.219579, 0.329915, 0.898180, 0.919686, -0.204491, 0.300441, 0.930013, + 0.929044, -0.188962, 0.269445, 0.962061, 0.938393, -0.171079, 0.238402, 0.994214, + 0.946610, -0.151990, 0.208204, 1.025330, 0.953095, -0.131953, 0.178653, 1.052900, + 0.958644, -0.111233, 0.150684, 1.077100, 0.963925, -0.090310, 0.122359, 1.098550, + 0.971995, -0.068050, 0.092334, 1.118740, 0.981658, -0.044851, 0.061420, 1.136350, + 0.991649, -0.022193, 0.030358, 1.152380, 0.999985, 0.000393, -0.000111, 1.167720, + 0.396806, -0.000010, 0.457671, 0.000008, 0.429186, -0.000249, 0.495017, 0.000216, + 0.429324, -0.000998, 0.495173, 0.000865, 0.429175, -0.002245, 0.494999, 0.001946, + 0.429129, -0.003990, 0.494952, 0.003460, 0.429153, -0.006235, 0.494974, 0.005407, + 0.429168, -0.008977, 0.494983, 0.007787, 0.429207, -0.012217, 0.495012, 0.010602, + 0.429257, -0.015954, 0.495047, 0.013853, 0.429338, -0.020186, 0.495106, 0.017544, + 0.429431, -0.024910, 0.495165, 0.021677, 0.429587, -0.030125, 0.495279, 0.026259, + 0.429796, -0.035825, 0.495432, 0.031297, 0.430065, -0.041997, 0.495621, 0.036798, + 0.430588, -0.048514, 0.496061, 0.042798, 0.431130, -0.055503, 0.496472, 0.049291, + 0.431743, -0.062985, 0.496904, 0.056291, 0.432448, -0.070926, 0.497369, 0.063806, + 0.433414, -0.079194, 0.498032, 0.071885, 0.434638, -0.087735, 0.498854, 0.080552, + 0.436110, -0.096806, 0.499812, 0.089805, 0.437859, -0.106002, 0.500891, 0.099714, + 0.440017, -0.115648, 0.502198, 0.110289, 0.443236, -0.125427, 0.504389, 0.121644, + 0.446970, -0.135492, 0.506809, 0.133769, 0.451689, -0.145746, 0.509858, 0.146787, + 0.458110, -0.156219, 0.514247, 0.160793, 0.465305, -0.166834, 0.518816, 0.175791, + 0.474085, -0.177546, 0.524331, 0.191906, 0.484808, -0.188262, 0.531040, 0.209199, + 0.497320, -0.199346, 0.538511, 0.227825, 0.509693, -0.209951, 0.544554, 0.247269, + 0.524367, -0.220533, 0.551616, 0.267978, 0.539228, -0.231082, 0.557368, 0.289672, + 0.556440, -0.241342, 0.563782, 0.312680, 0.574204, -0.250964, 0.568851, 0.336510, + 0.593388, -0.260306, 0.573120, 0.362219, 0.613358, -0.268667, 0.574916, 0.390322, + 0.634512, -0.275591, 0.575053, 0.420478, 0.655630, -0.281328, 0.572404, 0.451614, + 0.678265, -0.285948, 0.568893, 0.484112, 0.700110, -0.289408, 0.561878, 0.517348, + 0.723005, -0.291328, 0.553590, 0.551355, 0.743744, -0.291418, 0.541099, 0.585109, + 0.763949, -0.290252, 0.526489, 0.619487, 0.784186, -0.287648, 0.509496, 0.654040, + 0.804304, -0.283782, 0.491484, 0.688649, 0.823629, -0.278067, 0.470517, 0.723133, + 0.840940, -0.270588, 0.447050, 0.757163, 0.857852, -0.261188, 0.421252, 0.792816, + 0.874934, -0.249313, 0.394191, 0.827248, 0.888709, -0.236492, 0.365359, 0.861074, + 0.902589, -0.222185, 0.336016, 0.894417, 0.914201, -0.207314, 0.305270, 0.926825, + 0.925978, -0.191146, 0.274532, 0.959500, 0.935120, -0.174135, 0.243393, 0.991583, + 0.943656, -0.155231, 0.212414, 1.023560, 0.951719, -0.134403, 0.182005, 1.052390, + 0.957164, -0.113023, 0.153043, 1.077540, 0.962656, -0.091449, 0.124186, 1.099840, + 0.970695, -0.069418, 0.094165, 1.120000, 0.980749, -0.046620, 0.062967, 1.138490, + 0.991205, -0.022703, 0.031115, 1.154940, 0.999884, 0.000632, -0.000254, 1.170600, + 0.379821, -0.000010, 0.460637, 0.000008, 0.405188, -0.000247, 0.491396, 0.000204, + 0.404796, -0.000989, 0.490914, 0.000816, 0.404830, -0.002226, 0.490949, 0.001836, + 0.404730, -0.003957, 0.490840, 0.003263, 0.404731, -0.006183, 0.490836, 0.005099, + 0.404768, -0.008903, 0.490871, 0.007345, 0.404791, -0.012116, 0.490883, 0.010000, + 0.404857, -0.015821, 0.490938, 0.013068, 0.404943, -0.020018, 0.491004, 0.016550, + 0.405059, -0.024703, 0.491093, 0.020452, 0.405213, -0.029873, 0.491205, 0.024779, + 0.405399, -0.035523, 0.491333, 0.029537, 0.405731, -0.041635, 0.491604, 0.034741, + 0.406303, -0.048081, 0.492116, 0.040426, 0.406814, -0.055046, 0.492506, 0.046573, + 0.407404, -0.062465, 0.492926, 0.053206, 0.408149, -0.070296, 0.493442, 0.060344, + 0.409128, -0.078462, 0.494136, 0.068030, 0.410408, -0.087007, 0.495054, 0.076279, + 0.411813, -0.095964, 0.495962, 0.085105, 0.413735, -0.105075, 0.497257, 0.094588, + 0.416137, -0.114646, 0.498882, 0.104725, 0.419340, -0.124394, 0.501132, 0.115630, + 0.423326, -0.134328, 0.503883, 0.127325, 0.428419, -0.144580, 0.507470, 0.139911, + 0.434840, -0.154979, 0.511964, 0.153481, 0.442641, -0.165628, 0.517328, 0.168114, + 0.452511, -0.176365, 0.524258, 0.183995, 0.463473, -0.187298, 0.531248, 0.200953, + 0.475564, -0.198244, 0.538367, 0.219176, 0.488664, -0.208938, 0.545175, 0.238514, + 0.504073, -0.219599, 0.553227, 0.259129, 0.520832, -0.230378, 0.560653, 0.280997, + 0.538455, -0.240703, 0.567523, 0.303821, 0.557090, -0.250548, 0.573287, 0.327948, + 0.576646, -0.259964, 0.577795, 0.353362, 0.596705, -0.268721, 0.580077, 0.380336, + 0.618053, -0.276054, 0.580180, 0.410100, 0.640303, -0.282176, 0.578747, 0.441610, + 0.662365, -0.286931, 0.574294, 0.474106, 0.684542, -0.290521, 0.567035, 0.507549, + 0.707984, -0.292672, 0.558687, 0.541853, 0.730913, -0.293189, 0.547606, 0.576581, + 0.752948, -0.292199, 0.533471, 0.611720, 0.773452, -0.289508, 0.516395, 0.646339, + 0.794715, -0.285716, 0.497873, 0.682131, 0.814251, -0.280051, 0.476845, 0.716396, + 0.833057, -0.272873, 0.453449, 0.751503, 0.849590, -0.263982, 0.427857, 0.786085, + 0.867022, -0.252745, 0.400335, 0.821355, 0.882277, -0.239655, 0.371304, 0.856460, + 0.895375, -0.225386, 0.340397, 0.890828, 0.909347, -0.209587, 0.310005, 0.923532, + 0.921885, -0.193433, 0.279600, 0.956419, 0.932127, -0.176135, 0.247276, 0.989445, + 0.941869, -0.157872, 0.216186, 1.022210, 0.949735, -0.137577, 0.185602, 1.051950, + 0.956617, -0.115285, 0.155767, 1.078220, 0.961974, -0.092842, 0.126103, 1.101490, + 0.969720, -0.070059, 0.095676, 1.122070, 0.980120, -0.047467, 0.064327, 1.140800, + 0.990825, -0.023811, 0.032086, 1.157700, 0.999876, 0.000382, -0.000081, 1.174030, + 0.367636, -0.000010, 0.469176, 0.000008, 0.380377, -0.000245, 0.485434, 0.000192, + 0.380416, -0.000979, 0.485475, 0.000767, 0.380376, -0.002202, 0.485435, 0.001725, + 0.380419, -0.003914, 0.485487, 0.003067, 0.380438, -0.006115, 0.485505, 0.004793, + 0.380462, -0.008806, 0.485525, 0.006904, 0.380496, -0.011984, 0.485551, 0.009400, + 0.380560, -0.015649, 0.485605, 0.012285, 0.380640, -0.019799, 0.485666, 0.015560, + 0.380767, -0.024432, 0.485770, 0.019231, 0.380909, -0.029544, 0.485871, 0.023303, + 0.381142, -0.035132, 0.486060, 0.027786, 0.381472, -0.041154, 0.486336, 0.032694, + 0.382015, -0.047541, 0.486833, 0.038057, 0.382523, -0.054440, 0.487231, 0.043861, + 0.383129, -0.061784, 0.487683, 0.050133, 0.383952, -0.069509, 0.488313, 0.056900, + 0.384980, -0.077582, 0.489077, 0.064195, 0.386331, -0.086044, 0.490113, 0.072032, + 0.387788, -0.094841, 0.491099, 0.080438, 0.389808, -0.103899, 0.492566, 0.089490, + 0.392520, -0.113313, 0.494601, 0.099210, 0.395493, -0.123007, 0.496619, 0.109641, + 0.399826, -0.132859, 0.499912, 0.120919, 0.405341, -0.143077, 0.504061, 0.133107, + 0.411932, -0.153465, 0.508905, 0.146263, 0.420591, -0.164108, 0.515482, 0.160544, + 0.431010, -0.174893, 0.523191, 0.176123, 0.441881, -0.185839, 0.530260, 0.192757, + 0.453919, -0.196633, 0.537295, 0.210535, 0.468715, -0.207611, 0.546156, 0.229886, + 0.485182, -0.218517, 0.555173, 0.250543, 0.501926, -0.229249, 0.562728, 0.272210, + 0.517850, -0.239481, 0.567494, 0.294892, 0.536947, -0.249395, 0.573889, 0.318987, + 0.557115, -0.259000, 0.578831, 0.344348, 0.577966, -0.268075, 0.582055, 0.371223, + 0.599489, -0.276115, 0.583307, 0.399834, 0.624790, -0.282523, 0.583902, 0.431415, + 0.647504, -0.287663, 0.579530, 0.464301, 0.670601, -0.291538, 0.573103, 0.498123, + 0.693539, -0.293842, 0.563731, 0.532662, 0.717385, -0.294681, 0.553169, 0.567925, + 0.741533, -0.293717, 0.539908, 0.603502, 0.762142, -0.291156, 0.521902, 0.639074, + 0.783014, -0.287190, 0.502815, 0.674439, 0.805158, -0.281773, 0.482598, 0.710497, + 0.823646, -0.274682, 0.458949, 0.745600, 0.841879, -0.266184, 0.433129, 0.781085, + 0.859515, -0.255682, 0.406064, 0.816000, 0.875335, -0.242849, 0.376509, 0.851074, + 0.890147, -0.228329, 0.345502, 0.886473, 0.903144, -0.212491, 0.314280, 0.920751, + 0.916618, -0.195695, 0.282994, 0.954606, 0.927953, -0.178267, 0.251091, 0.988402, + 0.937414, -0.159549, 0.219107, 1.021410, 0.946823, -0.140022, 0.188960, 1.051670, + 0.954651, -0.118154, 0.158667, 1.078190, 0.959955, -0.094664, 0.128808, 1.102500, + 0.968580, -0.071179, 0.097379, 1.123910, 0.979380, -0.047505, 0.065097, 1.143220, + 0.990498, -0.024059, 0.032627, 1.160770, 0.999844, -0.000051, 0.000112, 1.177270, + 0.316912, -0.000009, 0.425996, 0.000007, 0.356423, -0.000241, 0.479108, 0.000180, + 0.356272, -0.000965, 0.478897, 0.000718, 0.356262, -0.002172, 0.478894, 0.001616, + 0.356265, -0.003861, 0.478895, 0.002873, 0.356278, -0.006032, 0.478905, 0.004489, + 0.356293, -0.008686, 0.478914, 0.006466, 0.356346, -0.011821, 0.478965, 0.008804, + 0.356395, -0.015435, 0.479001, 0.011507, 0.356484, -0.019529, 0.479075, 0.014576, + 0.356609, -0.024099, 0.479180, 0.018018, 0.356766, -0.029141, 0.479305, 0.021838, + 0.357009, -0.034650, 0.479512, 0.026045, 0.357424, -0.040546, 0.479909, 0.030666, + 0.357899, -0.046883, 0.480337, 0.035705, 0.358424, -0.053689, 0.480771, 0.041173, + 0.359041, -0.060942, 0.481242, 0.047084, 0.359903, -0.068524, 0.481943, 0.053483, + 0.360932, -0.076488, 0.482741, 0.060380, 0.362196, -0.084836, 0.483688, 0.067803, + 0.363847, -0.093500, 0.484947, 0.075809, 0.365972, -0.102471, 0.486588, 0.084417, + 0.368741, -0.111751, 0.488787, 0.093720, 0.372146, -0.121334, 0.491405, 0.103732, + 0.377114, -0.131147, 0.495604, 0.114608, 0.382260, -0.141213, 0.499436, 0.126345, + 0.389609, -0.151632, 0.505334, 0.139116, 0.397925, -0.162073, 0.511680, 0.152995, + 0.407824, -0.172819, 0.518876, 0.168071, 0.420014, -0.183929, 0.527639, 0.184495, + 0.434266, -0.195032, 0.537588, 0.202320, 0.447352, -0.205792, 0.544379, 0.221189, + 0.463726, -0.216704, 0.553422, 0.241616, 0.481406, -0.227531, 0.562074, 0.263298, + 0.498707, -0.238017, 0.568227, 0.286116, 0.518039, -0.247936, 0.574473, 0.310100, + 0.538277, -0.257437, 0.579191, 0.335401, 0.561166, -0.266829, 0.584807, 0.362246, + 0.583189, -0.275329, 0.586476, 0.390609, 0.606024, -0.282340, 0.585578, 0.420998, + 0.632419, -0.287924, 0.584496, 0.454357, 0.656128, -0.291972, 0.577766, 0.488233, + 0.679953, -0.294560, 0.568750, 0.523248, 0.704654, -0.295816, 0.558388, 0.559168, + 0.729016, -0.295157, 0.544826, 0.595326, 0.752062, -0.292779, 0.528273, 0.631864, + 0.773138, -0.288681, 0.508482, 0.667793, 0.794869, -0.283358, 0.487341, 0.704035, + 0.815101, -0.276080, 0.463540, 0.739925, 0.834212, -0.267670, 0.438672, 0.775539, + 0.852368, -0.257397, 0.411239, 0.810895, 0.870207, -0.245689, 0.382900, 0.846472, + 0.884063, -0.231452, 0.351496, 0.881788, 0.898284, -0.215561, 0.318950, 0.917438, + 0.912964, -0.198208, 0.287367, 0.952422, 0.924666, -0.180426, 0.254487, 0.987551, + 0.934429, -0.161525, 0.222226, 1.021420, 0.943485, -0.141197, 0.191143, 1.052180, + 0.952100, -0.120085, 0.161112, 1.079370, 0.957876, -0.097588, 0.130982, 1.104030, + 0.966943, -0.072684, 0.099055, 1.126160, 0.978313, -0.048370, 0.066282, 1.146190, + 0.990048, -0.023907, 0.032924, 1.164130, 0.999984, 0.000462, -0.000077, 1.180990, + 0.321287, -0.000009, 0.455413, 0.000007, 0.332595, -0.000238, 0.471437, 0.000168, + 0.332729, -0.000950, 0.471618, 0.000670, 0.332305, -0.002136, 0.471028, 0.001507, + 0.332326, -0.003798, 0.471055, 0.002680, 0.332344, -0.005934, 0.471072, 0.004188, + 0.332356, -0.008543, 0.471077, 0.006032, 0.332403, -0.011627, 0.471121, 0.008214, + 0.332461, -0.015182, 0.471170, 0.010736, 0.332552, -0.019209, 0.471251, 0.013601, + 0.332657, -0.023702, 0.471330, 0.016815, 0.332835, -0.028661, 0.471487, 0.020385, + 0.333083, -0.034077, 0.471708, 0.024321, 0.333547, -0.039856, 0.472190, 0.028652, + 0.333989, -0.046092, 0.472587, 0.033376, 0.334532, -0.052790, 0.473054, 0.038508, + 0.335167, -0.059928, 0.473568, 0.044064, 0.336080, -0.067351, 0.474362, 0.050096, + 0.337146, -0.075224, 0.475231, 0.056602, 0.338462, -0.083418, 0.476282, 0.063627, + 0.340140, -0.091938, 0.477615, 0.071215, 0.342341, -0.100741, 0.479404, 0.079417, + 0.345088, -0.109905, 0.481618, 0.088263, 0.349049, -0.119369, 0.485081, 0.097885, + 0.353939, -0.129033, 0.489317, 0.108336, 0.359893, -0.139038, 0.494309, 0.119698, + 0.366945, -0.149411, 0.499983, 0.132024, 0.375814, -0.159843, 0.507185, 0.145558, + 0.387112, -0.170664, 0.516392, 0.160433, 0.400230, -0.181897, 0.526519, 0.176648, + 0.412555, -0.192785, 0.534230, 0.193922, 0.427023, -0.203663, 0.542741, 0.212662, + 0.443685, -0.214695, 0.552066, 0.232944, 0.461499, -0.225561, 0.560762, 0.254495, + 0.480975, -0.236257, 0.569421, 0.277531, 0.501000, -0.246390, 0.576101, 0.301724, + 0.521691, -0.256101, 0.581493, 0.327112, 0.543478, -0.265289, 0.585221, 0.353917, + 0.566094, -0.273938, 0.587614, 0.381941, 0.589578, -0.281679, 0.587991, 0.411720, + 0.614583, -0.287655, 0.585928, 0.444148, 0.641813, -0.292228, 0.582092, 0.478617, + 0.666189, -0.295172, 0.573980, 0.513970, 0.690475, -0.296480, 0.561676, 0.550118, + 0.715543, -0.296203, 0.548758, 0.586933, 0.740405, -0.293999, 0.532792, 0.623840, + 0.762183, -0.289980, 0.512735, 0.660723, 0.786069, -0.284780, 0.492402, 0.698070, + 0.806812, -0.277568, 0.469058, 0.734422, 0.826987, -0.268951, 0.443017, 0.770946, + 0.844588, -0.259049, 0.415501, 0.806990, 0.863725, -0.247100, 0.387328, 0.842107, + 0.879137, -0.234157, 0.356108, 0.878078, 0.894634, -0.218719, 0.324315, 0.914058, + 0.909162, -0.201293, 0.291813, 0.949922, 0.920720, -0.182670, 0.258474, 0.985337, + 0.931580, -0.163212, 0.225593, 1.020500, 0.941238, -0.142771, 0.193986, 1.052730, + 0.949293, -0.120956, 0.163392, 1.080750, 0.956226, -0.098574, 0.132934, 1.105590, + 0.965460, -0.075118, 0.101255, 1.128230, 0.977403, -0.049792, 0.067544, 1.149000, + 0.989648, -0.024157, 0.033468, 1.167650, 1.000010, 0.000576, -0.000185, 1.185190, + 0.303474, -0.000009, 0.454200, 0.000006, 0.308894, -0.000233, 0.462306, 0.000156, + 0.309426, -0.000932, 0.463093, 0.000622, 0.308643, -0.002095, 0.461933, 0.001400, + 0.308651, -0.003724, 0.461941, 0.002489, 0.308662, -0.005819, 0.461950, 0.003889, + 0.308687, -0.008378, 0.461974, 0.005602, 0.308728, -0.011402, 0.462011, 0.007629, + 0.308789, -0.014888, 0.462067, 0.009973, 0.308882, -0.018837, 0.462151, 0.012637, + 0.309007, -0.023244, 0.462263, 0.015627, 0.309180, -0.028105, 0.462417, 0.018950, + 0.309442, -0.033406, 0.462667, 0.022617, 0.309901, -0.039059, 0.463162, 0.026661, + 0.310331, -0.045204, 0.463555, 0.031071, 0.310858, -0.051774, 0.464019, 0.035870, + 0.311576, -0.058736, 0.464669, 0.041085, 0.312436, -0.066038, 0.465406, 0.046745, + 0.313526, -0.073727, 0.466339, 0.052872, 0.314903, -0.081757, 0.467504, 0.059504, + 0.316814, -0.090167, 0.469226, 0.066689, 0.318965, -0.098755, 0.470981, 0.074466, + 0.322077, -0.107792, 0.473814, 0.082912, 0.325947, -0.117098, 0.477241, 0.092085, + 0.331008, -0.126602, 0.481840, 0.102137, 0.337893, -0.136619, 0.488334, 0.113135, + 0.345106, -0.146838, 0.494415, 0.125110, 0.355111, -0.157357, 0.503275, 0.138356, + 0.365095, -0.167955, 0.510966, 0.152686, 0.378344, -0.179157, 0.521508, 0.168560, + 0.391599, -0.190143, 0.530455, 0.185610, 0.407786, -0.201230, 0.541275, 0.204308, + 0.425294, -0.212456, 0.551784, 0.224623, 0.444021, -0.223568, 0.561493, 0.246172, + 0.463418, -0.234154, 0.569886, 0.268979, 0.484077, -0.244546, 0.577116, 0.293411, + 0.505513, -0.254301, 0.582914, 0.318936, 0.527672, -0.263564, 0.587208, 0.345856, + 0.550565, -0.272332, 0.589277, 0.374054, 0.573656, -0.280011, 0.588426, 0.403276, + 0.598270, -0.286924, 0.587504, 0.434740, 0.624731, -0.291994, 0.583401, 0.468767, + 0.652396, -0.295159, 0.576997, 0.504411, 0.677320, -0.296954, 0.565863, 0.541140, + 0.703147, -0.296877, 0.552316, 0.578160, 0.728715, -0.295147, 0.536773, 0.616124, + 0.752448, -0.291275, 0.517710, 0.653885, 0.775169, -0.285905, 0.496087, 0.691537, + 0.799307, -0.279064, 0.474232, 0.729251, 0.819482, -0.270294, 0.447676, 0.766267, + 0.837659, -0.260032, 0.419656, 0.802616, 0.856903, -0.248497, 0.391328, 0.838583, + 0.873325, -0.235252, 0.360285, 0.874711, 0.889788, -0.221126, 0.329215, 0.910770, + 0.904486, -0.204304, 0.296392, 0.946530, 0.917711, -0.185562, 0.262159, 0.983828, + 0.928969, -0.165635, 0.229142, 1.019550, 0.939707, -0.144420, 0.196730, 1.053170, + 0.948167, -0.122147, 0.165095, 1.082300, 0.955222, -0.099098, 0.134510, 1.107910, + 0.964401, -0.075533, 0.102476, 1.131200, 0.976605, -0.051382, 0.068967, 1.152180, + 0.989085, -0.025850, 0.034506, 1.171290, 0.999908, 0.000618, -0.000271, 1.189610, + 0.285803, -0.000009, 0.452348, 0.000006, 0.284689, -0.000227, 0.450581, 0.000144, + 0.285263, -0.000910, 0.451482, 0.000575, 0.285302, -0.002048, 0.451553, 0.001294, + 0.285318, -0.003641, 0.451574, 0.002301, 0.285330, -0.005688, 0.451585, 0.003595, + 0.285361, -0.008190, 0.451618, 0.005179, 0.285397, -0.011146, 0.451650, 0.007054, + 0.285447, -0.014554, 0.451688, 0.009222, 0.285527, -0.018413, 0.451758, 0.011687, + 0.285688, -0.022721, 0.451929, 0.014455, 0.285840, -0.027471, 0.452055, 0.017534, + 0.286136, -0.032628, 0.452369, 0.020941, 0.286574, -0.038179, 0.452853, 0.024696, + 0.287012, -0.044188, 0.453272, 0.028800, 0.287542, -0.050610, 0.453752, 0.033268, + 0.288299, -0.057363, 0.454488, 0.038150, 0.289186, -0.064546, 0.455294, 0.043445, + 0.290302, -0.072040, 0.456301, 0.049197, 0.291776, -0.079905, 0.457648, 0.055445, + 0.293720, -0.088117, 0.459483, 0.062231, 0.296052, -0.096533, 0.461571, 0.069599, + 0.299563, -0.105409, 0.465085, 0.077658, 0.303350, -0.114553, 0.468506, 0.086418, + 0.309167, -0.123917, 0.474423, 0.096108, 0.315290, -0.133810, 0.479950, 0.106643, + 0.324163, -0.144021, 0.488592, 0.118322, 0.333272, -0.154382, 0.496461, 0.131133, + 0.344224, -0.165015, 0.505620, 0.145208, 0.357733, -0.176168, 0.516719, 0.160730, + 0.373046, -0.187468, 0.528513, 0.177807, 0.387880, -0.198488, 0.537713, 0.196072, + 0.405133, -0.209545, 0.547999, 0.216050, 0.423845, -0.220724, 0.557590, 0.237484, + 0.443777, -0.231518, 0.566246, 0.260390, 0.464824, -0.242035, 0.574326, 0.284835, + 0.486635, -0.251898, 0.580370, 0.310518, 0.510120, -0.261304, 0.585680, 0.337678, + 0.535301, -0.270384, 0.590197, 0.366242, 0.559193, -0.278410, 0.590569, 0.395873, + 0.583544, -0.285325, 0.588161, 0.426857, 0.608834, -0.291113, 0.584249, 0.459477, + 0.635753, -0.294882, 0.577630, 0.494734, 0.664367, -0.297088, 0.569479, 0.532023, + 0.689688, -0.297364, 0.555064, 0.569629, 0.715732, -0.295949, 0.539522, 0.608124, + 0.741307, -0.292259, 0.521613, 0.646231, 0.764949, -0.287063, 0.499690, 0.684938, + 0.788599, -0.280120, 0.476747, 0.723548, 0.810480, -0.271530, 0.451160, 0.761135, + 0.831372, -0.261289, 0.424101, 0.798916, 0.850092, -0.249559, 0.394430, 0.835952, + 0.867777, -0.236348, 0.363849, 0.871606, 0.884632, -0.221569, 0.332477, 0.907843, + 0.900470, -0.206180, 0.300667, 0.944187, 0.914524, -0.188771, 0.266552, 0.981371, + 0.926892, -0.168362, 0.232349, 1.018410, 0.937951, -0.146761, 0.199359, 1.053080, + 0.947236, -0.123813, 0.167500, 1.083900, 0.954367, -0.099984, 0.136166, 1.110470, + 0.963907, -0.075928, 0.103808, 1.134140, 0.976218, -0.051137, 0.069706, 1.155750, + 0.988772, -0.026742, 0.035253, 1.175310, 0.999888, -0.000521, 0.000290, 1.193890, + 0.263546, -0.000009, 0.441896, 0.000005, 0.262352, -0.000222, 0.439889, 0.000132, + 0.262325, -0.000887, 0.439848, 0.000529, 0.262280, -0.001995, 0.439765, 0.001190, + 0.262372, -0.003547, 0.439922, 0.002116, 0.262390, -0.005541, 0.439941, 0.003307, + 0.262412, -0.007979, 0.439961, 0.004763, 0.262453, -0.010858, 0.440002, 0.006488, + 0.262528, -0.014179, 0.440085, 0.008483, 0.262615, -0.017938, 0.440166, 0.010753, + 0.262744, -0.022135, 0.440291, 0.013304, 0.262939, -0.026762, 0.440493, 0.016144, + 0.263277, -0.031757, 0.440889, 0.019297, 0.263680, -0.037183, 0.441338, 0.022770, + 0.264106, -0.043037, 0.441753, 0.026570, 0.264624, -0.049304, 0.442227, 0.030718, + 0.265378, -0.055867, 0.442985, 0.035262, 0.266253, -0.062872, 0.443795, 0.040197, + 0.267478, -0.070157, 0.445008, 0.045590, 0.269062, -0.077845, 0.446599, 0.051454, + 0.270926, -0.085794, 0.448349, 0.057838, 0.273693, -0.094077, 0.451221, 0.064836, + 0.276746, -0.102704, 0.454097, 0.072439, 0.281693, -0.111735, 0.459517, 0.080874, + 0.287335, -0.121004, 0.465310, 0.090155, 0.294480, -0.130734, 0.472605, 0.100371, + 0.302570, -0.140777, 0.480251, 0.111644, 0.312465, -0.151110, 0.489444, 0.124111, + 0.324856, -0.161890, 0.500919, 0.137979, 0.337740, -0.172946, 0.511317, 0.153163, + 0.352550, -0.184152, 0.522684, 0.169817, 0.367786, -0.195220, 0.532480, 0.187886, + 0.385474, -0.206320, 0.543326, 0.207634, 0.404976, -0.217744, 0.554109, 0.229165, + 0.425203, -0.228691, 0.563395, 0.252068, 0.446704, -0.239299, 0.571565, 0.276471, + 0.468951, -0.249348, 0.577935, 0.302323, 0.493487, -0.258933, 0.584309, 0.329882, + 0.517861, -0.268009, 0.587730, 0.358525, 0.543309, -0.276238, 0.589612, 0.388585, + 0.569704, -0.283560, 0.589294, 0.419787, 0.594871, -0.289497, 0.585137, 0.452114, + 0.622555, -0.294452, 0.580356, 0.486466, 0.651167, -0.296918, 0.571850, 0.523079, + 0.677332, -0.297647, 0.558428, 0.561100, 0.703718, -0.296321, 0.542232, 0.599592, + 0.730262, -0.293339, 0.524541, 0.639138, 0.754304, -0.288036, 0.502691, 0.677978, + 0.778051, -0.281018, 0.479212, 0.716537, 0.801557, -0.272414, 0.454071, 0.755860, + 0.822559, -0.262419, 0.425952, 0.794477, 0.843051, -0.250702, 0.397313, 0.832664, + 0.862320, -0.237264, 0.366534, 0.869876, 0.879044, -0.222716, 0.334816, 0.906973, + 0.896362, -0.206827, 0.303143, 0.943558, 0.910342, -0.189659, 0.269699, 0.979759, + 0.924119, -0.171108, 0.236411, 1.017180, 0.935374, -0.149579, 0.202224, 1.052890, + 0.944295, -0.126295, 0.169890, 1.084960, 0.952227, -0.101511, 0.138089, 1.112560, + 0.962041, -0.076639, 0.105053, 1.137500, 0.975280, -0.051197, 0.070329, 1.159830, + 0.988476, -0.025463, 0.035127, 1.179870, 0.999962, 0.000029, 0.000015, 1.199010, + 0.227089, -0.000008, 0.404216, 0.000005, 0.239725, -0.000215, 0.426708, 0.000121, + 0.239904, -0.000861, 0.427028, 0.000484, 0.239911, -0.001937, 0.427039, 0.001088, + 0.239914, -0.003443, 0.427040, 0.001935, 0.239933, -0.005379, 0.427064, 0.003024, + 0.239944, -0.007745, 0.427065, 0.004356, 0.239993, -0.010540, 0.427122, 0.005934, + 0.240052, -0.013763, 0.427179, 0.007760, 0.240148, -0.017411, 0.427279, 0.009839, + 0.240278, -0.021484, 0.427410, 0.012176, 0.240472, -0.025973, 0.427618, 0.014783, + 0.240839, -0.030813, 0.428086, 0.017684, 0.241201, -0.036089, 0.428482, 0.020878, + 0.241626, -0.041772, 0.428907, 0.024382, 0.242207, -0.047834, 0.429520, 0.028223, + 0.242980, -0.054220, 0.430332, 0.032433, 0.243881, -0.061002, 0.431222, 0.037025, + 0.245123, -0.068087, 0.432512, 0.042054, 0.246670, -0.075548, 0.434088, 0.047541, + 0.248779, -0.083287, 0.436323, 0.053554, 0.251665, -0.091355, 0.439509, 0.060172, + 0.255305, -0.099849, 0.443478, 0.067428, 0.260049, -0.108576, 0.448713, 0.075467, + 0.266192, -0.117754, 0.455524, 0.084339, 0.273158, -0.127294, 0.462700, 0.094168, + 0.282131, -0.137311, 0.472068, 0.105150, 0.293332, -0.147736, 0.483565, 0.117402, + 0.304667, -0.158357, 0.493702, 0.130824, 0.317785, -0.169274, 0.504708, 0.145724, + 0.333245, -0.180595, 0.517107, 0.162150, 0.349843, -0.191892, 0.528849, 0.180149, + 0.367944, -0.203168, 0.540301, 0.199746, 0.387579, -0.214443, 0.551514, 0.221047, + 0.408247, -0.225624, 0.560906, 0.243981, 0.430140, -0.236422, 0.569590, 0.268513, + 0.452669, -0.246540, 0.576098, 0.294409, 0.476196, -0.256157, 0.580925, 0.322002, + 0.501157, -0.265289, 0.584839, 0.351052, 0.527632, -0.273671, 0.587614, 0.381200, + 0.555754, -0.281254, 0.589119, 0.412994, 0.581682, -0.287448, 0.585204, 0.445498, + 0.608196, -0.292614, 0.579006, 0.479505, 0.635661, -0.296068, 0.571297, 0.514643, + 0.664999, -0.297395, 0.560855, 0.552213, 0.691039, -0.296645, 0.544525, 0.591365, + 0.717900, -0.293785, 0.526535, 0.630883, 0.744059, -0.289089, 0.505450, 0.670932, + 0.768630, -0.282239, 0.482514, 0.710904, 0.793273, -0.273688, 0.457246, 0.750259, + 0.814731, -0.263280, 0.428872, 0.789480, 0.835603, -0.251526, 0.399384, 0.828597, + 0.854890, -0.238339, 0.368811, 0.866892, 0.872828, -0.223607, 0.336617, 0.905630, + 0.889462, -0.207538, 0.303997, 0.943538, 0.904929, -0.190297, 0.270812, 0.980591, + 0.919101, -0.172034, 0.237453, 1.019350, 0.930536, -0.152058, 0.204431, 1.054980, + 0.941223, -0.129515, 0.172495, 1.087170, 0.949820, -0.104263, 0.140175, 1.115510, + 0.960592, -0.078194, 0.106465, 1.140980, 0.974629, -0.051688, 0.071159, 1.164180, + 0.988110, -0.025393, 0.035443, 1.184650, 1.000040, 0.000804, -0.000331, 1.204620, + 0.214668, -0.000008, 0.406619, 0.000004, 0.218053, -0.000208, 0.413025, 0.000110, + 0.217987, -0.000832, 0.412901, 0.000439, 0.217971, -0.001872, 0.412876, 0.000989, + 0.217968, -0.003329, 0.412860, 0.001758, 0.217985, -0.005201, 0.412882, 0.002747, + 0.218014, -0.007488, 0.412916, 0.003958, 0.218054, -0.010190, 0.412957, 0.005393, + 0.218106, -0.013306, 0.413005, 0.007053, 0.218217, -0.016834, 0.413139, 0.008946, + 0.218338, -0.020771, 0.413258, 0.011075, 0.218550, -0.025100, 0.413509, 0.013455, + 0.218913, -0.029786, 0.413992, 0.016108, 0.219265, -0.034896, 0.414383, 0.019031, + 0.219696, -0.040391, 0.414839, 0.022246, 0.220329, -0.046200, 0.415567, 0.025792, + 0.220989, -0.052421, 0.416210, 0.029664, 0.222027, -0.058948, 0.417385, 0.033932, + 0.223301, -0.065821, 0.418779, 0.038606, 0.224988, -0.073035, 0.420665, 0.043735, + 0.227211, -0.080527, 0.423198, 0.049384, 0.230131, -0.088395, 0.426566, 0.055614, + 0.233908, -0.096621, 0.430910, 0.062483, 0.239092, -0.105223, 0.437148, 0.070164, + 0.245315, -0.114240, 0.444302, 0.078695, 0.253166, -0.123680, 0.453262, 0.088238, + 0.262374, -0.133569, 0.463211, 0.098868, 0.273145, -0.143836, 0.474271, 0.110727, + 0.285512, -0.154577, 0.486300, 0.123945, 0.299512, -0.165501, 0.498817, 0.138581, + 0.314287, -0.176698, 0.510341, 0.154676, 0.331083, -0.188066, 0.522583, 0.172459, + 0.349615, -0.199597, 0.534879, 0.191979, 0.369318, -0.210843, 0.546083, 0.213090, + 0.390377, -0.222068, 0.556200, 0.235998, 0.412411, -0.233059, 0.564704, 0.260518, + 0.435715, -0.243570, 0.572314, 0.286795, 0.461196, -0.253356, 0.579395, 0.314559, + 0.485587, -0.262362, 0.581985, 0.343581, 0.511908, -0.270895, 0.584347, 0.374367, + 0.539798, -0.278452, 0.585050, 0.406015, 0.567974, -0.284877, 0.583344, 0.439168, + 0.594303, -0.290124, 0.577348, 0.473005, 0.622951, -0.294183, 0.570751, 0.508534, + 0.652404, -0.296389, 0.561541, 0.544764, 0.679291, -0.296605, 0.546426, 0.582927, + 0.706437, -0.294095, 0.528599, 0.622681, 0.734485, -0.289780, 0.508676, 0.663567, + 0.758841, -0.283363, 0.484768, 0.704092, 0.785370, -0.275015, 0.460434, 0.745101, + 0.807315, -0.264689, 0.432166, 0.784712, 0.827100, -0.252597, 0.401807, 0.824241, + 0.849191, -0.239154, 0.371458, 0.863803, 0.867046, -0.224451, 0.338873, 0.903063, + 0.885200, -0.208342, 0.306175, 0.942763, 0.901771, -0.190684, 0.272759, 0.981559, + 0.915958, -0.172105, 0.239306, 1.020480, 0.928046, -0.152214, 0.206071, 1.057650, + 0.939961, -0.130247, 0.173670, 1.089990, 0.948711, -0.106720, 0.142201, 1.118290, + 0.959305, -0.080869, 0.108454, 1.144670, 0.973009, -0.053914, 0.072811, 1.168390, + 0.987631, -0.026295, 0.036062, 1.190040, 0.999978, 0.001328, -0.000559, 1.210580, + 0.193925, -0.000008, 0.391974, 0.000004, 0.196746, -0.000200, 0.397675, 0.000099, + 0.196670, -0.000801, 0.397521, 0.000396, 0.196633, -0.001802, 0.397445, 0.000892, + 0.196654, -0.003204, 0.397482, 0.001586, 0.196659, -0.005006, 0.397480, 0.002479, + 0.196683, -0.007209, 0.397506, 0.003572, 0.196728, -0.009810, 0.397562, 0.004867, + 0.196792, -0.012810, 0.397633, 0.006367, 0.196890, -0.016206, 0.397746, 0.008078, + 0.197017, -0.019994, 0.397884, 0.010005, 0.197290, -0.024139, 0.398270, 0.012169, + 0.197583, -0.028667, 0.398639, 0.014575, 0.197927, -0.033586, 0.399034, 0.017236, + 0.198383, -0.038881, 0.399554, 0.020172, 0.199002, -0.044474, 0.400289, 0.023419, + 0.199739, -0.050458, 0.401111, 0.026984, 0.200784, -0.056729, 0.402349, 0.030922, + 0.202075, -0.063364, 0.403841, 0.035250, 0.203898, -0.070325, 0.406076, 0.040031, + 0.206199, -0.077557, 0.408841, 0.045328, 0.209252, -0.085184, 0.412590, 0.051179, + 0.213638, -0.093199, 0.418288, 0.057746, 0.218810, -0.101617, 0.424681, 0.065051, + 0.225642, -0.110520, 0.433429, 0.073276, 0.233717, -0.119772, 0.442897, 0.082468, + 0.242823, -0.129505, 0.452888, 0.092748, 0.254772, -0.139906, 0.466407, 0.104417, + 0.266603, -0.150402, 0.477413, 0.117211, 0.280730, -0.161395, 0.490519, 0.131598, + 0.295399, -0.172465, 0.502010, 0.147407, 0.312705, -0.183982, 0.515311, 0.165031, + 0.331335, -0.195532, 0.527860, 0.184336, 0.351037, -0.206971, 0.539200, 0.205361, + 0.372175, -0.218117, 0.549410, 0.228043, 0.394548, -0.229327, 0.558642, 0.252670, + 0.419598, -0.240052, 0.567861, 0.279071, 0.443922, -0.249937, 0.573332, 0.306882, + 0.471495, -0.259407, 0.580130, 0.336610, 0.496769, -0.267749, 0.580564, 0.367328, + 0.524951, -0.275524, 0.581696, 0.399753, 0.553180, -0.282148, 0.579885, 0.433134, + 0.581577, -0.287533, 0.575471, 0.467534, 0.609231, -0.291612, 0.567445, 0.502943, + 0.637478, -0.293911, 0.557657, 0.538710, 0.667795, -0.295096, 0.546535, 0.576568, + 0.694272, -0.294073, 0.529561, 0.614929, 0.722937, -0.290386, 0.510561, 0.655909, + 0.749682, -0.284481, 0.487846, 0.697663, 0.774754, -0.276188, 0.462487, 0.738515, + 0.799301, -0.266215, 0.434810, 0.779802, 0.820762, -0.254116, 0.404879, 0.820045, + 0.843231, -0.240393, 0.374559, 0.860294, 0.861857, -0.225503, 0.341582, 0.900965, + 0.880815, -0.209382, 0.308778, 0.941727, 0.897660, -0.191550, 0.275232, 0.980916, + 0.912926, -0.172346, 0.240938, 1.021620, 0.926391, -0.151799, 0.207223, 1.059700, + 0.938429, -0.129968, 0.174840, 1.092910, 0.947834, -0.106510, 0.142984, 1.122480, + 0.958432, -0.082410, 0.109902, 1.149000, 0.972402, -0.056524, 0.074445, 1.173300, + 0.987191, -0.028427, 0.037379, 1.195380, 0.999975, 0.000039, -0.000042, 1.216760, + 0.178114, -0.000008, 0.385418, 0.000004, 0.176074, -0.000192, 0.381002, 0.000089, + 0.176010, -0.000768, 0.380861, 0.000355, 0.175980, -0.001727, 0.380798, 0.000798, + 0.175994, -0.003070, 0.380824, 0.001419, 0.176017, -0.004797, 0.380858, 0.002219, + 0.176019, -0.006906, 0.380839, 0.003197, 0.176072, -0.009399, 0.380913, 0.004357, + 0.176131, -0.012273, 0.380979, 0.005702, 0.176239, -0.015526, 0.381120, 0.007237, + 0.176371, -0.019155, 0.381272, 0.008969, 0.176638, -0.023117, 0.381669, 0.010919, + 0.176912, -0.027463, 0.382015, 0.013090, 0.177279, -0.032173, 0.382476, 0.015495, + 0.177740, -0.037222, 0.383041, 0.018167, 0.178344, -0.042613, 0.383780, 0.021121, + 0.179153, -0.048331, 0.384773, 0.024390, 0.180197, -0.054345, 0.386076, 0.028006, + 0.181581, -0.060712, 0.387809, 0.032004, 0.183440, -0.067386, 0.390205, 0.036453, + 0.186139, -0.074399, 0.393944, 0.041416, 0.189432, -0.081773, 0.398320, 0.046939, + 0.193795, -0.089546, 0.404188, 0.053144, 0.199641, -0.097826, 0.412100, 0.060137, + 0.206679, -0.106499, 0.421425, 0.068008, 0.214865, -0.115654, 0.431504, 0.076919, + 0.224406, -0.125268, 0.442526, 0.086884, 0.235876, -0.135475, 0.455465, 0.098187, + 0.248335, -0.146023, 0.468100, 0.110759, 0.262868, -0.157016, 0.482069, 0.124885, + 0.278962, -0.168245, 0.496182, 0.140645, 0.295082, -0.179580, 0.507401, 0.157838, + 0.313738, -0.191227, 0.520252, 0.176950, 0.333573, -0.202718, 0.531708, 0.197817, + 0.356433, -0.214424, 0.544509, 0.220785, 0.378853, -0.225492, 0.553730, 0.245306, + 0.402717, -0.236236, 0.561348, 0.271593, 0.428375, -0.246568, 0.568538, 0.299776, + 0.454724, -0.255941, 0.573462, 0.329433, 0.482291, -0.264511, 0.576356, 0.360598, + 0.509706, -0.272129, 0.576446, 0.393204, 0.538805, -0.278979, 0.575298, 0.427227, + 0.568919, -0.284528, 0.572154, 0.462157, 0.596804, -0.288801, 0.564691, 0.497997, + 0.625987, -0.291334, 0.555134, 0.534467, 0.656414, -0.292722, 0.545051, 0.571736, + 0.683916, -0.292185, 0.528813, 0.610158, 0.711809, -0.290043, 0.511060, 0.649061, + 0.739547, -0.285246, 0.490103, 0.690081, 0.766914, -0.277647, 0.465523, 0.732554, + 0.791375, -0.267603, 0.437718, 0.773982, 0.814772, -0.256109, 0.408820, 0.816090, + 0.836691, -0.242281, 0.377823, 0.856849, 0.856984, -0.227155, 0.344960, 0.898363, + 0.876332, -0.210395, 0.311335, 0.939471, 0.894988, -0.192612, 0.277703, 0.980799, + 0.911113, -0.173236, 0.243019, 1.022150, 0.924092, -0.152258, 0.209037, 1.061390, + 0.936828, -0.129575, 0.175909, 1.096350, 0.946869, -0.105940, 0.143852, 1.127070, + 0.958284, -0.081318, 0.110289, 1.154190, 0.972325, -0.055613, 0.074723, 1.179090, + 0.986878, -0.029790, 0.038315, 1.201630, 0.999936, -0.001972, 0.000912, 1.223380, + 0.151174, -0.000007, 0.351531, 0.000003, 0.155594, -0.000183, 0.361806, 0.000079, + 0.156099, -0.000732, 0.362982, 0.000315, 0.156053, -0.001646, 0.362869, 0.000708, + 0.156093, -0.002926, 0.362961, 0.001259, 0.156099, -0.004572, 0.362959, 0.001968, + 0.156120, -0.006582, 0.362982, 0.002836, 0.156168, -0.008958, 0.363048, 0.003866, + 0.156221, -0.011696, 0.363101, 0.005061, 0.156324, -0.014797, 0.363241, 0.006427, + 0.156476, -0.018250, 0.363448, 0.007972, 0.156731, -0.022027, 0.363840, 0.009715, + 0.156994, -0.026176, 0.364179, 0.011657, 0.157341, -0.030670, 0.364620, 0.013821, + 0.157867, -0.035459, 0.365364, 0.016236, 0.158460, -0.040614, 0.366111, 0.018909, + 0.159308, -0.046052, 0.367248, 0.021885, 0.160426, -0.051810, 0.368767, 0.025200, + 0.161877, -0.057891, 0.370745, 0.028882, 0.163995, -0.064281, 0.373831, 0.033014, + 0.166550, -0.071007, 0.377366, 0.037628, 0.170237, -0.078152, 0.382799, 0.042849, + 0.175096, -0.085717, 0.389915, 0.048732, 0.181069, -0.093802, 0.398487, 0.055421, + 0.188487, -0.102363, 0.408799, 0.063019, 0.197029, -0.111343, 0.419991, 0.071634, + 0.206684, -0.120812, 0.431455, 0.081280, 0.218698, -0.131033, 0.445746, 0.092365, + 0.230726, -0.141373, 0.457471, 0.104545, 0.245516, -0.152387, 0.472388, 0.118449, + 0.261551, -0.163628, 0.486671, 0.133923, 0.277437, -0.174814, 0.497620, 0.150849, + 0.296662, -0.186713, 0.511620, 0.169924, 0.317950, -0.198513, 0.525435, 0.190848, + 0.339422, -0.210119, 0.536267, 0.213504, 0.362143, -0.221354, 0.545982, 0.237947, + 0.387198, -0.232240, 0.555364, 0.264427, 0.412349, -0.242570, 0.561489, 0.292519, + 0.439274, -0.252284, 0.566903, 0.322561, 0.466779, -0.261023, 0.569614, 0.353952, + 0.496011, -0.268990, 0.571589, 0.387278, 0.524964, -0.275498, 0.570325, 0.421356, + 0.556518, -0.281449, 0.568792, 0.457314, 0.584363, -0.285526, 0.560268, 0.493199, + 0.614214, -0.288440, 0.552050, 0.530276, 0.645684, -0.289777, 0.541906, 0.568550, + 0.673446, -0.289722, 0.526464, 0.606927, 0.701924, -0.287792, 0.509872, 0.645945, + 0.730370, -0.284315, 0.490649, 0.685564, 0.757405, -0.278804, 0.467964, 0.726511, + 0.784025, -0.269543, 0.441468, 0.768601, 0.808255, -0.258117, 0.412160, 0.811321, + 0.830739, -0.244728, 0.380606, 0.853496, 0.851914, -0.229428, 0.348111, 0.895374, + 0.872586, -0.212508, 0.314732, 0.937674, 0.891581, -0.194025, 0.280338, 0.979869, + 0.907641, -0.174711, 0.245203, 1.022530, 0.922233, -0.153509, 0.210770, 1.063710, + 0.935878, -0.130418, 0.177399, 1.099720, 0.946338, -0.105558, 0.144507, 1.131240, + 0.957265, -0.080059, 0.110508, 1.159730, 0.971668, -0.053977, 0.074231, 1.185150, + 0.986600, -0.027710, 0.037522, 1.208580, 1.000210, -0.000516, 0.000135, 1.231350, + 0.137468, -0.000007, 0.345041, 0.000003, 0.137030, -0.000173, 0.343936, 0.000069, + 0.136986, -0.000693, 0.343830, 0.000276, 0.136964, -0.001559, 0.343761, 0.000621, + 0.137003, -0.002772, 0.343863, 0.001105, 0.137012, -0.004331, 0.343868, 0.001727, + 0.137043, -0.006236, 0.343916, 0.002490, 0.137090, -0.008487, 0.343986, 0.003396, + 0.137145, -0.011081, 0.344045, 0.004447, 0.137242, -0.014019, 0.344177, 0.005650, + 0.137431, -0.017271, 0.344491, 0.007019, 0.137644, -0.020861, 0.344805, 0.008560, + 0.137910, -0.024792, 0.345172, 0.010286, 0.138295, -0.029046, 0.345734, 0.012219, + 0.138764, -0.033596, 0.346371, 0.014377, 0.139415, -0.038467, 0.347298, 0.016789, + 0.140272, -0.043618, 0.348527, 0.019489, 0.141457, -0.049102, 0.350276, 0.022504, + 0.143030, -0.054876, 0.352646, 0.025896, 0.145289, -0.061010, 0.356206, 0.029717, + 0.148502, -0.067478, 0.361488, 0.034056, 0.152188, -0.074345, 0.367103, 0.038953, + 0.157359, -0.081744, 0.375247, 0.044554, 0.163790, -0.089633, 0.385064, 0.050953, + 0.171376, -0.098005, 0.396082, 0.058261, 0.179901, -0.106817, 0.407418, 0.066540, + 0.189892, -0.116239, 0.420031, 0.075994, 0.201838, -0.126270, 0.434321, 0.086724, + 0.214311, -0.136701, 0.447631, 0.098752, 0.228902, -0.147616, 0.462046, 0.112353, + 0.245107, -0.158871, 0.476942, 0.127605, 0.262292, -0.170261, 0.490285, 0.144469, + 0.281215, -0.182017, 0.503783, 0.163282, 0.301058, -0.193729, 0.515505, 0.183873, + 0.322752, -0.205512, 0.526820, 0.206466, 0.347547, -0.217214, 0.539473, 0.231194, + 0.370969, -0.227966, 0.546625, 0.257288, 0.397533, -0.238555, 0.554720, 0.285789, + 0.423980, -0.248278, 0.559468, 0.315746, 0.452928, -0.257422, 0.564095, 0.347724, + 0.482121, -0.265306, 0.565426, 0.380922, 0.510438, -0.272043, 0.563205, 0.415639, + 0.541188, -0.277614, 0.561087, 0.451702, 0.571667, -0.281927, 0.554922, 0.488450, + 0.602432, -0.285015, 0.546838, 0.526442, 0.634126, -0.286512, 0.537415, 0.564896, + 0.662816, -0.286388, 0.522906, 0.604037, 0.692411, -0.284734, 0.507003, 0.643795, + 0.720946, -0.281297, 0.488398, 0.682980, 0.748293, -0.276262, 0.466353, 0.723466, + 0.776931, -0.269978, 0.443573, 0.764565, 0.801065, -0.260305, 0.415279, 0.805838, + 0.825843, -0.247426, 0.384773, 0.849985, 0.848070, -0.232437, 0.352555, 0.893174, + 0.869122, -0.215806, 0.318642, 0.936564, 0.888963, -0.197307, 0.283810, 0.980253, + 0.905547, -0.177203, 0.247888, 1.024630, 0.918554, -0.155542, 0.212904, 1.067140, + 0.931395, -0.131948, 0.178700, 1.104510, 0.941749, -0.106723, 0.145902, 1.136940, + 0.954551, -0.080494, 0.111193, 1.166600, 0.970279, -0.053424, 0.074470, 1.192490, + 0.986117, -0.025745, 0.036879, 1.216650, 0.999938, 0.001906, -0.001029, 1.239810, + 0.118493, -0.000006, 0.322720, 0.000002, 0.118765, -0.000163, 0.323456, 0.000060, + 0.118772, -0.000652, 0.323477, 0.000239, 0.118843, -0.001467, 0.323657, 0.000539, + 0.118804, -0.002608, 0.323553, 0.000958, 0.118826, -0.004076, 0.323595, 0.001498, + 0.118846, -0.005868, 0.323617, 0.002160, 0.118886, -0.007986, 0.323670, 0.002947, + 0.118947, -0.010427, 0.323753, 0.003861, 0.119055, -0.013191, 0.323922, 0.004910, + 0.119241, -0.016244, 0.324251, 0.006108, 0.119440, -0.019634, 0.324544, 0.007458, + 0.119739, -0.023338, 0.325026, 0.008978, 0.120110, -0.027318, 0.325586, 0.010689, + 0.120571, -0.031614, 0.326231, 0.012607, 0.121240, -0.036194, 0.327264, 0.014765, + 0.122162, -0.041051, 0.328733, 0.017200, 0.123378, -0.046223, 0.330659, 0.019938, + 0.125183, -0.051711, 0.333754, 0.023050, 0.127832, -0.057565, 0.338507, 0.026597, + 0.130909, -0.063744, 0.343666, 0.030634, 0.135221, -0.070430, 0.351063, 0.035273, + 0.140820, -0.077636, 0.360604, 0.040614, 0.146781, -0.085229, 0.369638, 0.046679, + 0.155121, -0.093535, 0.382700, 0.053763, 0.163980, -0.102234, 0.395220, 0.061798, + 0.173926, -0.111465, 0.407930, 0.070970, 0.185137, -0.121296, 0.421050, 0.081343, + 0.198260, -0.131690, 0.435735, 0.093160, 0.212938, -0.142614, 0.450932, 0.106547, + 0.229046, -0.153884, 0.465726, 0.121575, 0.246246, -0.165382, 0.479461, 0.138286, + 0.264637, -0.176806, 0.492106, 0.156660, 0.284959, -0.188793, 0.504774, 0.177280, + 0.308157, -0.200763, 0.518805, 0.199880, 0.330951, -0.212390, 0.528231, 0.224293, + 0.354900, -0.223521, 0.536376, 0.250541, 0.381502, -0.234169, 0.544846, 0.278902, + 0.409529, -0.244077, 0.551717, 0.309227, 0.437523, -0.253363, 0.555170, 0.341426, + 0.467624, -0.261659, 0.557772, 0.375180, 0.497268, -0.268498, 0.556442, 0.410070, + 0.528294, -0.274018, 0.553915, 0.446445, 0.559053, -0.278169, 0.549153, 0.483779, + 0.589329, -0.281229, 0.539878, 0.522249, 0.622503, -0.282902, 0.531620, 0.561754, + 0.652382, -0.282815, 0.518119, 0.601544, 0.681847, -0.281247, 0.502187, 0.641574, + 0.712285, -0.277986, 0.484824, 0.682633, 0.740094, -0.273017, 0.463483, 0.723426, + 0.768478, -0.266692, 0.441299, 0.763747, 0.794556, -0.258358, 0.415238, 0.805565, + 0.819408, -0.248807, 0.386912, 0.847254, 0.843411, -0.236214, 0.356165, 0.891091, + 0.862397, -0.219794, 0.320562, 0.936174, 0.883113, -0.201768, 0.285322, 0.982562, + 0.900230, -0.181672, 0.249713, 1.028620, 0.915192, -0.159279, 0.214546, 1.071630, + 0.928458, -0.134725, 0.180285, 1.109950, 0.940690, -0.109130, 0.147119, 1.143540, + 0.953409, -0.082131, 0.112492, 1.173720, 0.969537, -0.054268, 0.075201, 1.200430, + 0.985612, -0.025910, 0.037036, 1.225280, 0.999835, 0.002982, -0.001518, 1.249590, + 0.100970, -0.000006, 0.300277, 0.000002, 0.101577, -0.000152, 0.302077, 0.000051, + 0.101572, -0.000609, 0.302066, 0.000205, 0.101566, -0.001370, 0.302047, 0.000461, + 0.101592, -0.002436, 0.302114, 0.000819, 0.101608, -0.003805, 0.302140, 0.001282, + 0.101627, -0.005479, 0.302160, 0.001848, 0.101669, -0.007456, 0.302224, 0.002522, + 0.101732, -0.009736, 0.302318, 0.003307, 0.101844, -0.012310, 0.302513, 0.004211, + 0.102025, -0.015168, 0.302850, 0.005245, 0.102224, -0.018333, 0.303166, 0.006415, + 0.102515, -0.021782, 0.303654, 0.007741, 0.102886, -0.025507, 0.304243, 0.009240, + 0.103395, -0.029514, 0.305089, 0.010934, 0.104109, -0.033791, 0.306301, 0.012856, + 0.105074, -0.038357, 0.307980, 0.015034, 0.106540, -0.043213, 0.310726, 0.017523, + 0.108478, -0.048424, 0.314351, 0.020365, 0.111015, -0.053934, 0.319032, 0.023633, + 0.114682, -0.059888, 0.326050, 0.027419, 0.119110, -0.066337, 0.334109, 0.031790, + 0.124736, -0.073301, 0.344013, 0.036850, 0.131479, -0.080774, 0.355358, 0.042710, + 0.139283, -0.088820, 0.367614, 0.049479, 0.148054, -0.097339, 0.380072, 0.057237, + 0.159037, -0.106650, 0.395678, 0.066270, 0.169794, -0.116221, 0.407950, 0.076319, + 0.183140, -0.126632, 0.423546, 0.087956, 0.197515, -0.137383, 0.438213, 0.101042, + 0.213514, -0.148641, 0.453248, 0.115827, 0.230650, -0.160117, 0.466880, 0.132283, + 0.249148, -0.171807, 0.479962, 0.150644, 0.270219, -0.183695, 0.494618, 0.171073, + 0.292338, -0.195574, 0.506937, 0.193378, 0.314999, -0.207205, 0.516463, 0.217585, + 0.340991, -0.218955, 0.528123, 0.244280, 0.367982, -0.229917, 0.537025, 0.272784, + 0.394320, -0.239737, 0.541627, 0.302742, 0.423364, -0.249048, 0.546466, 0.335112, + 0.453751, -0.257329, 0.549466, 0.369032, 0.484160, -0.264623, 0.549503, 0.404577, + 0.515262, -0.270411, 0.547008, 0.441337, 0.547036, -0.274581, 0.542249, 0.479162, + 0.576614, -0.277266, 0.533015, 0.517904, 0.611143, -0.279144, 0.525512, 0.558508, + 0.640989, -0.279001, 0.511540, 0.598995, 0.671182, -0.277324, 0.495641, 0.639935, + 0.700848, -0.273908, 0.477526, 0.681017, 0.729862, -0.269063, 0.457955, 0.722764, + 0.758273, -0.262282, 0.434846, 0.764349, 0.784121, -0.254281, 0.409203, 0.806206, + 0.809798, -0.245050, 0.382694, 0.848617, 0.834953, -0.233861, 0.354034, 0.892445, + 0.856817, -0.221308, 0.321764, 0.936263, 0.877609, -0.205996, 0.288118, 0.982401, + 0.897489, -0.186702, 0.253277, 1.029750, 0.913792, -0.164618, 0.217963, 1.074880, + 0.927850, -0.140023, 0.183221, 1.114870, 0.940378, -0.113280, 0.149385, 1.149470, + 0.952730, -0.085396, 0.114152, 1.180700, 0.969059, -0.056870, 0.076984, 1.209120, + 0.985574, -0.027650, 0.038119, 1.234980, 0.999943, 0.002391, -0.001269, 1.259870, + 0.085272, -0.000006, 0.279021, 0.000002, 0.085414, -0.000141, 0.279483, 0.000043, + 0.085419, -0.000563, 0.279500, 0.000172, 0.085419, -0.001268, 0.279493, 0.000387, + 0.085423, -0.002253, 0.279501, 0.000689, 0.085444, -0.003521, 0.279549, 0.001078, + 0.085470, -0.005070, 0.279591, 0.001555, 0.085509, -0.006899, 0.279652, 0.002124, + 0.085572, -0.009008, 0.279752, 0.002787, 0.085699, -0.011380, 0.280011, 0.003555, + 0.085855, -0.014031, 0.280297, 0.004434, 0.086068, -0.016963, 0.280682, 0.005436, + 0.086344, -0.020144, 0.281159, 0.006579, 0.086743, -0.023600, 0.281886, 0.007880, + 0.087239, -0.027307, 0.282745, 0.009361, 0.087982, -0.031269, 0.284139, 0.011056, + 0.089126, -0.035531, 0.286470, 0.013007, 0.090691, -0.040095, 0.289708, 0.015249, + 0.092762, -0.044964, 0.293904, 0.017845, 0.095838, -0.050243, 0.300471, 0.020892, + 0.099583, -0.055951, 0.308060, 0.024425, 0.104526, -0.062215, 0.317874, 0.028572, + 0.110532, -0.069005, 0.329332, 0.033423, 0.117385, -0.076307, 0.341217, 0.039047, + 0.125220, -0.084184, 0.353968, 0.045579, 0.134037, -0.092525, 0.366797, 0.053077, + 0.144014, -0.101487, 0.380209, 0.061742, 0.156013, -0.111273, 0.395956, 0.071777, + 0.168872, -0.121431, 0.410530, 0.083090, 0.183089, -0.132105, 0.425073, 0.095934, + 0.198763, -0.143286, 0.439833, 0.110448, 0.216159, -0.154841, 0.454507, 0.126769, + 0.234859, -0.166588, 0.468368, 0.144950, 0.255879, -0.178626, 0.482846, 0.165233, + 0.276770, -0.190218, 0.493489, 0.187217, 0.301184, -0.202227, 0.506549, 0.211659, + 0.325852, -0.213764, 0.515800, 0.237922, 0.352824, -0.224870, 0.525442, 0.266320, + 0.380882, -0.235246, 0.532487, 0.296691, 0.410137, -0.244847, 0.537703, 0.329179, + 0.439787, -0.253122, 0.540361, 0.363135, 0.472291, -0.260517, 0.542734, 0.399222, + 0.501856, -0.266519, 0.538826, 0.436352, 0.534816, -0.270905, 0.535152, 0.474505, + 0.565069, -0.273826, 0.525979, 0.513988, 0.597154, -0.275333, 0.516394, 0.554852, + 0.630473, -0.275314, 0.506206, 0.596592, 0.660574, -0.273323, 0.489769, 0.638117, + 0.692015, -0.270008, 0.472578, 0.680457, 0.720647, -0.265001, 0.452134, 0.723008, + 0.750528, -0.258311, 0.430344, 0.765954, 0.777568, -0.250046, 0.405624, 0.809012, + 0.803870, -0.240114, 0.378339, 0.852425, 0.828439, -0.228737, 0.349877, 0.895346, + 0.851472, -0.216632, 0.318968, 0.940695, 0.873906, -0.202782, 0.287489, 0.987235, + 0.894670, -0.187059, 0.254394, 1.033480, 0.912281, -0.168818, 0.221294, 1.078120, + 0.927358, -0.146494, 0.186750, 1.119280, 0.940385, -0.120009, 0.152322, 1.156090, + 0.952672, -0.091718, 0.117514, 1.188750, 0.968496, -0.062032, 0.079741, 1.218210, + 0.985236, -0.031495, 0.040238, 1.245230, 0.999980, -0.000575, 0.000111, 1.271330, + 0.070243, -0.000005, 0.255273, 0.000001, 0.070298, -0.000129, 0.255469, 0.000035, + 0.070369, -0.000516, 0.255727, 0.000142, 0.070380, -0.001160, 0.255754, 0.000319, + 0.070396, -0.002062, 0.255813, 0.000568, 0.070410, -0.003222, 0.255839, 0.000889, + 0.070430, -0.004639, 0.255863, 0.001283, 0.070476, -0.006314, 0.255953, 0.001753, + 0.070543, -0.008243, 0.256079, 0.002303, 0.070669, -0.010412, 0.256360, 0.002944, + 0.070819, -0.012844, 0.256647, 0.003680, 0.071036, -0.015518, 0.257084, 0.004526, + 0.071322, -0.018437, 0.257637, 0.005497, 0.071718, -0.021600, 0.258416, 0.006612, + 0.072321, -0.024997, 0.259699, 0.007901, 0.073145, -0.028657, 0.261475, 0.009388, + 0.074335, -0.032589, 0.264132, 0.011119, 0.076068, -0.036843, 0.268150, 0.013145, + 0.078454, -0.041429, 0.273636, 0.015525, 0.081862, -0.046463, 0.281653, 0.018353, + 0.085738, -0.051948, 0.289992, 0.021664, 0.090813, -0.057984, 0.300660, 0.025596, + 0.096751, -0.064512, 0.312204, 0.030195, 0.103717, -0.071651, 0.325001, 0.035602, + 0.111596, -0.079323, 0.338129, 0.041896, 0.120933, -0.087645, 0.352853, 0.049245, + 0.130787, -0.096492, 0.366192, 0.057675, 0.142311, -0.105973, 0.380864, 0.067397, + 0.155344, -0.116182, 0.396575, 0.078590, 0.169535, -0.126815, 0.411443, 0.091238, + 0.185173, -0.138015, 0.426256, 0.105607, 0.201755, -0.149325, 0.439607, 0.121551, + 0.221334, -0.161207, 0.455467, 0.139608, 0.241461, -0.173162, 0.469096, 0.159591, + 0.262940, -0.185040, 0.481014, 0.181560, 0.286776, -0.196881, 0.493291, 0.205781, + 0.311596, -0.208311, 0.503556, 0.231819, 0.338667, -0.219671, 0.513268, 0.260274, + 0.366021, -0.230451, 0.519414, 0.290862, 0.395875, -0.240131, 0.526766, 0.323196, + 0.425564, -0.248566, 0.529050, 0.357071, 0.457094, -0.256195, 0.530796, 0.393262, + 0.488286, -0.262331, 0.528703, 0.430797, 0.522291, -0.267141, 0.527270, 0.470231, + 0.554172, -0.270411, 0.519848, 0.510477, 0.586427, -0.271986, 0.510307, 0.551594, + 0.619638, -0.271920, 0.499158, 0.593849, 0.650656, -0.269817, 0.483852, 0.636314, + 0.682840, -0.266267, 0.467515, 0.679679, 0.714356, -0.261130, 0.449310, 0.723884, + 0.742717, -0.254067, 0.425789, 0.767245, 0.770894, -0.245652, 0.401144, 0.811819, + 0.797358, -0.235554, 0.374224, 0.856315, 0.823377, -0.223896, 0.346167, 0.901077, + 0.847456, -0.210865, 0.316056, 0.946502, 0.870697, -0.196574, 0.284503, 0.993711, + 0.891068, -0.180814, 0.251628, 1.041340, 0.909267, -0.163314, 0.219065, 1.086090, + 0.925653, -0.143304, 0.186446, 1.127020, 0.940017, -0.121322, 0.153416, 1.163710, + 0.952398, -0.097387, 0.120334, 1.197120, 0.967568, -0.069878, 0.083520, 1.227910, + 0.984772, -0.039003, 0.043921, 1.256720, 1.000260, -0.007009, 0.003157, 1.284280, + 0.055665, -0.000005, 0.227325, 0.000001, 0.056524, -0.000116, 0.230826, 0.000028, + 0.056572, -0.000466, 0.231026, 0.000114, 0.056586, -0.001048, 0.231079, 0.000257, + 0.056576, -0.001863, 0.231025, 0.000457, 0.056591, -0.002910, 0.231058, 0.000715, + 0.056611, -0.004190, 0.231085, 0.001032, 0.056653, -0.005702, 0.231169, 0.001412, + 0.056747, -0.007437, 0.231417, 0.001860, 0.056857, -0.009403, 0.231661, 0.002383, + 0.056986, -0.011599, 0.231895, 0.002987, 0.057222, -0.014010, 0.232456, 0.003690, + 0.057519, -0.016651, 0.233096, 0.004503, 0.057953, -0.019510, 0.234094, 0.005449, + 0.058592, -0.022599, 0.235629, 0.006556, 0.059565, -0.025942, 0.238106, 0.007857, + 0.060911, -0.029566, 0.241557, 0.009391, 0.062875, -0.033513, 0.246652, 0.011220, + 0.065691, -0.037860, 0.254091, 0.013417, 0.069135, -0.042654, 0.262666, 0.016037, + 0.073217, -0.047897, 0.272029, 0.019151, 0.078286, -0.053672, 0.283007, 0.022860, + 0.084397, -0.060068, 0.295732, 0.027283, 0.091360, -0.067009, 0.308779, 0.032484, + 0.099441, -0.074552, 0.322886, 0.038589, 0.108189, -0.082712, 0.336408, 0.045713, + 0.118574, -0.091493, 0.351692, 0.053983, 0.129989, -0.100854, 0.366502, 0.063516, + 0.142722, -0.110837, 0.381675, 0.074439, 0.156654, -0.121353, 0.396300, 0.086848, + 0.172151, -0.132414, 0.411477, 0.100963, 0.188712, -0.143809, 0.425080, 0.116795, + 0.208093, -0.155765, 0.441328, 0.134715, 0.227936, -0.167608, 0.454328, 0.154396, + 0.249495, -0.179579, 0.467235, 0.176179, 0.273620, -0.191488, 0.480248, 0.200193, + 0.296371, -0.202618, 0.487886, 0.225775, 0.324234, -0.214133, 0.499632, 0.254410, + 0.353049, -0.225212, 0.509532, 0.285077, 0.381785, -0.234875, 0.514265, 0.317047, + 0.414038, -0.244205, 0.521282, 0.351874, 0.445251, -0.252145, 0.522931, 0.388279, + 0.476819, -0.258433, 0.520947, 0.425825, 0.509209, -0.263411, 0.517669, 0.465104, + 0.542759, -0.266732, 0.512841, 0.505741, 0.574822, -0.268263, 0.503317, 0.547611, + 0.609324, -0.268489, 0.493035, 0.590953, 0.641772, -0.266941, 0.478816, 0.634880, + 0.674049, -0.263297, 0.462863, 0.679072, 0.705071, -0.257618, 0.442931, 0.723487, + 0.734709, -0.250625, 0.421299, 0.768708, 0.763704, -0.241790, 0.397085, 0.814375, + 0.791818, -0.231115, 0.370577, 0.859907, 0.817439, -0.219220, 0.342320, 0.906715, + 0.843202, -0.205658, 0.312627, 0.953943, 0.866639, -0.190563, 0.280933, 1.001850, + 0.888129, -0.173978, 0.248393, 1.051050, 0.907239, -0.155485, 0.216007, 1.097040, + 0.923893, -0.134782, 0.183233, 1.138570, 0.938882, -0.112490, 0.150376, 1.175390, + 0.952464, -0.089071, 0.117177, 1.209240, 0.968529, -0.064652, 0.081310, 1.240550, + 0.984763, -0.038606, 0.043938, 1.270180, 1.000530, -0.012380, 0.005987, 1.298730, + 0.043793, -0.000004, 0.204012, 0.000001, 0.044017, -0.000103, 0.205049, 0.000022, + 0.044053, -0.000414, 0.205225, 0.000089, 0.044049, -0.000931, 0.205200, 0.000200, + 0.043988, -0.001654, 0.204901, 0.000355, 0.044072, -0.002585, 0.205255, 0.000557, + 0.044097, -0.003722, 0.205311, 0.000805, 0.044136, -0.005065, 0.205391, 0.001103, + 0.044223, -0.006604, 0.205638, 0.001458, 0.044325, -0.008352, 0.205877, 0.001873, + 0.044483, -0.010299, 0.206270, 0.002359, 0.044700, -0.012445, 0.206796, 0.002930, + 0.045017, -0.014793, 0.207593, 0.003600, 0.045482, -0.017336, 0.208819, 0.004392, + 0.046245, -0.020116, 0.211036, 0.005339, 0.047369, -0.023157, 0.214388, 0.006470, + 0.049019, -0.026494, 0.219357, 0.007839, 0.051278, -0.030184, 0.226061, 0.009502, + 0.054128, -0.034266, 0.234094, 0.011516, 0.057899, -0.038854, 0.244297, 0.013969, + 0.062083, -0.043874, 0.254457, 0.016901, 0.067350, -0.049510, 0.266706, 0.020455, + 0.073176, -0.055626, 0.278753, 0.024661, 0.080394, -0.062459, 0.293090, 0.029713, + 0.087929, -0.069756, 0.305856, 0.035587, 0.097067, -0.077880, 0.321059, 0.042577, + 0.106508, -0.086354, 0.333873, 0.050560, 0.117760, -0.095593, 0.349008, 0.059897, + 0.130081, -0.105438, 0.363776, 0.070631, 0.144454, -0.115899, 0.380112, 0.082882, + 0.159600, -0.126827, 0.394843, 0.096761, 0.176097, -0.138161, 0.409033, 0.112381, + 0.194726, -0.149904, 0.424257, 0.129952, 0.213944, -0.161675, 0.436945, 0.149333, + 0.235516, -0.173659, 0.450176, 0.170892, 0.260564, -0.185963, 0.466305, 0.194984, + 0.285183, -0.197582, 0.477328, 0.220805, 0.311095, -0.208697, 0.486566, 0.248694, + 0.338924, -0.219519, 0.494811, 0.279015, 0.369757, -0.229766, 0.504065, 0.311725, + 0.399600, -0.238879, 0.507909, 0.345844, 0.430484, -0.246802, 0.509805, 0.381749, + 0.464130, -0.253924, 0.511436, 0.420251, 0.497077, -0.259319, 0.508787, 0.459957, + 0.530434, -0.263297, 0.503940, 0.501356, 0.565725, -0.265619, 0.498040, 0.544252, + 0.599254, -0.265842, 0.487346, 0.587856, 0.631251, -0.263978, 0.472975, 0.631969, + 0.663972, -0.260430, 0.457135, 0.677471, 0.697724, -0.255358, 0.439844, 0.723744, + 0.727725, -0.248308, 0.417872, 0.770653, 0.756417, -0.239181, 0.392730, 0.817357, + 0.785419, -0.228140, 0.367839, 0.864221, 0.812660, -0.215681, 0.339449, 0.912701, + 0.839391, -0.201623, 0.309279, 0.962419, 0.863660, -0.185624, 0.278029, 1.012200, + 0.885028, -0.167970, 0.245294, 1.061860, 0.904639, -0.148336, 0.212689, 1.109340, + 0.922048, -0.126370, 0.179616, 1.150630, 0.936952, -0.102928, 0.146749, 1.188850, + 0.951895, -0.078527, 0.112733, 1.223520, 0.967198, -0.053015, 0.076006, 1.256810, + 0.984405, -0.026490, 0.038318, 1.287620, 1.000210, 0.000700, -0.000200, 1.316560, + 0.032596, -0.000004, 0.176706, 0.000001, 0.032933, -0.000090, 0.178527, 0.000017, + 0.032918, -0.000360, 0.178453, 0.000066, 0.032909, -0.000809, 0.178383, 0.000149, + 0.032918, -0.001438, 0.178394, 0.000266, 0.032942, -0.002247, 0.178517, 0.000417, + 0.032951, -0.003236, 0.178490, 0.000603, 0.033011, -0.004399, 0.178695, 0.000829, + 0.033073, -0.005741, 0.178843, 0.001099, 0.033186, -0.007259, 0.179176, 0.001419, + 0.033344, -0.008953, 0.179618, 0.001800, 0.033567, -0.010822, 0.180238, 0.002253, + 0.033939, -0.012869, 0.181417, 0.002798, 0.034524, -0.015114, 0.183395, 0.003456, + 0.035446, -0.017596, 0.186616, 0.004259, 0.036831, -0.020352, 0.191547, 0.005249, + 0.038611, -0.023411, 0.197508, 0.006470, 0.041030, -0.026851, 0.205395, 0.007981, + 0.044224, -0.030748, 0.215365, 0.009856, 0.047866, -0.035086, 0.225595, 0.012142, + 0.052242, -0.039951, 0.236946, 0.014939, 0.057451, -0.045357, 0.249442, 0.018319, + 0.063121, -0.051286, 0.261222, 0.022364, 0.070112, -0.057927, 0.275418, 0.027242, + 0.077733, -0.065065, 0.288989, 0.032946, 0.086271, -0.072881, 0.302546, 0.039682, + 0.096103, -0.081363, 0.317164, 0.047570, 0.106976, -0.090446, 0.331733, 0.056701, + 0.119175, -0.100105, 0.346610, 0.067202, 0.132919, -0.110375, 0.362249, 0.079259, + 0.147727, -0.121115, 0.376978, 0.092867, 0.163618, -0.132299, 0.390681, 0.108228, + 0.182234, -0.143887, 0.406571, 0.125502, 0.201809, -0.155827, 0.420420, 0.144836, + 0.225041, -0.168357, 0.438411, 0.166706, 0.247621, -0.180040, 0.450368, 0.189909, + 0.270970, -0.191536, 0.460083, 0.215251, 0.296658, -0.203024, 0.469765, 0.243164, + 0.325892, -0.214056, 0.481837, 0.273388, 0.354060, -0.224104, 0.487474, 0.305344, + 0.384372, -0.233489, 0.492773, 0.339741, 0.417490, -0.241874, 0.498451, 0.376287, + 0.450130, -0.248834, 0.499632, 0.414195, 0.481285, -0.254658, 0.495233, 0.454077, + 0.519183, -0.259367, 0.496401, 0.496352, 0.551544, -0.261818, 0.487686, 0.538798, + 0.587349, -0.262964, 0.479453, 0.583626, 0.621679, -0.262128, 0.467709, 0.629451, + 0.654991, -0.258998, 0.452123, 0.675660, 0.686873, -0.254119, 0.433495, 0.723248, + 0.719801, -0.246946, 0.413657, 0.771156, 0.750355, -0.237709, 0.390366, 0.819890, + 0.780033, -0.226549, 0.364947, 0.868601, 0.809254, -0.214186, 0.337256, 0.920034, + 0.836576, -0.199639, 0.307395, 0.971706, 0.861774, -0.183169, 0.275431, 1.024790, + 0.885707, -0.165111, 0.243431, 1.078370, 0.904742, -0.144363, 0.210921, 1.127830, + 0.915604, -0.121305, 0.176470, 1.172540, 0.930959, -0.096212, 0.143106, 1.210120, + 0.948404, -0.069969, 0.108112, 1.244740, 0.967012, -0.042759, 0.070848, 1.277180, + 0.984183, -0.014704, 0.032335, 1.308300, 0.999577, 0.014216, -0.007269, 1.338200, + 0.022923, -0.000003, 0.148623, 0.000000, 0.023219, -0.000076, 0.150540, 0.000012, + 0.023231, -0.000304, 0.150630, 0.000047, 0.023235, -0.000683, 0.150624, 0.000105, + 0.023209, -0.001214, 0.150445, 0.000188, 0.023252, -0.001898, 0.150679, 0.000295, + 0.023283, -0.002732, 0.150789, 0.000428, 0.023337, -0.003713, 0.150995, 0.000591, + 0.023401, -0.004848, 0.151180, 0.000788, 0.023514, -0.006129, 0.151562, 0.001025, + 0.023679, -0.007561, 0.152116, 0.001314, 0.023956, -0.009147, 0.153162, 0.001666, + 0.024433, -0.010904, 0.155133, 0.002102, 0.025139, -0.012861, 0.158035, 0.002644, + 0.026260, -0.015063, 0.162751, 0.003329, 0.027787, -0.017553, 0.168944, 0.004198, + 0.029847, -0.020398, 0.176835, 0.005300, 0.032544, -0.023655, 0.186686, 0.006698, + 0.035558, -0.027298, 0.196248, 0.008427, 0.039284, -0.031446, 0.207352, 0.010585, + 0.043681, -0.036116, 0.219279, 0.013246, 0.048527, -0.041293, 0.230728, 0.016474, + 0.054157, -0.047034, 0.242994, 0.020372, 0.060948, -0.053500, 0.257042, 0.025095, + 0.068523, -0.060541, 0.271020, 0.030686, 0.076804, -0.068055, 0.284060, 0.037193, + 0.086484, -0.076501, 0.299186, 0.044979, 0.096941, -0.085267, 0.313200, 0.053832, + 0.108478, -0.094733, 0.327138, 0.064115, 0.121705, -0.104810, 0.342345, 0.075918, + 0.136743, -0.115474, 0.358472, 0.089412, 0.152986, -0.126536, 0.374067, 0.104562, + 0.170397, -0.138061, 0.388267, 0.121632, 0.191392, -0.150203, 0.406467, 0.140996, + 0.211566, -0.161751, 0.418641, 0.161696, 0.233567, -0.173407, 0.430418, 0.184557, + 0.257769, -0.185397, 0.442770, 0.210092, 0.285310, -0.197048, 0.457191, 0.237827, + 0.311726, -0.207840, 0.464712, 0.267253, 0.340537, -0.218345, 0.472539, 0.299332, + 0.372921, -0.228306, 0.482331, 0.333988, 0.402924, -0.236665, 0.484378, 0.369722, + 0.434475, -0.244097, 0.484717, 0.407836, 0.469736, -0.250547, 0.487093, 0.448465, + 0.505045, -0.255110, 0.485575, 0.490263, 0.540262, -0.258444, 0.481225, 0.534495, + 0.576347, -0.259903, 0.473481, 0.579451, 0.608656, -0.259572, 0.460300, 0.625604, + 0.646679, -0.257908, 0.450341, 0.674511, 0.679902, -0.253663, 0.431561, 0.723269, + 0.714159, -0.247419, 0.412684, 0.773263, 0.745345, -0.239122, 0.389388, 0.824182, + 0.778248, -0.228837, 0.365361, 0.876634, 0.807208, -0.216197, 0.337667, 0.929450, + 0.835019, -0.201772, 0.307197, 0.985261, 0.860261, -0.185291, 0.274205, 1.042990, + 0.877601, -0.165809, 0.240178, 1.098160, 0.898211, -0.143897, 0.207571, 1.146940, + 0.915789, -0.119513, 0.174904, 1.190080, 0.931831, -0.093292, 0.141423, 1.229700, + 0.949244, -0.065653, 0.105603, 1.265530, 0.967527, -0.037026, 0.067955, 1.299860, + 0.984139, -0.007301, 0.028313, 1.332520, 0.999713, 0.023465, -0.012179, 1.363970, + 0.015213, -0.000002, 0.122795, 0.000000, 0.015165, -0.000062, 0.122399, 0.000008, + 0.015118, -0.000246, 0.122023, 0.000030, 0.015120, -0.000553, 0.122030, 0.000069, + 0.015125, -0.000984, 0.122037, 0.000122, 0.015143, -0.001538, 0.122140, 0.000193, + 0.015171, -0.002210, 0.122237, 0.000281, 0.015211, -0.003007, 0.122380, 0.000391, + 0.015288, -0.003925, 0.122700, 0.000526, 0.015412, -0.004966, 0.123244, 0.000694, + 0.015620, -0.006133, 0.124228, 0.000905, 0.015966, -0.007441, 0.125945, 0.001173, + 0.016567, -0.008925, 0.129098, 0.001519, 0.017487, -0.010627, 0.133865, 0.001970, + 0.018839, -0.012604, 0.140682, 0.002564, 0.020554, -0.014881, 0.148534, 0.003336, + 0.022673, -0.017512, 0.157381, 0.004337, 0.025188, -0.020527, 0.166685, 0.005617, + 0.028363, -0.024032, 0.177796, 0.007256, 0.031869, -0.027943, 0.188251, 0.009288, + 0.036104, -0.032431, 0.200038, 0.011835, 0.040666, -0.037353, 0.210685, 0.014915, + 0.046385, -0.043013, 0.224182, 0.018725, 0.052570, -0.049101, 0.236340, 0.023228, + 0.059808, -0.055918, 0.250013, 0.028652, 0.067944, -0.063366, 0.263981, 0.035063, + 0.077118, -0.071460, 0.278072, 0.042588, 0.088127, -0.080350, 0.295110, 0.051449, + 0.099663, -0.089690, 0.309976, 0.061577, 0.112702, -0.099644, 0.325611, 0.073214, + 0.126488, -0.109829, 0.339321, 0.086232, 0.142625, -0.120859, 0.355740, 0.101275, + 0.159530, -0.131956, 0.369845, 0.117892, 0.176991, -0.143145, 0.381460, 0.136205, + 0.199715, -0.155292, 0.400520, 0.157252, 0.220787, -0.167066, 0.412055, 0.179966, + 0.243697, -0.178396, 0.423133, 0.204418, 0.272106, -0.190433, 0.439524, 0.232141, + 0.297637, -0.201265, 0.447041, 0.261109, 0.325273, -0.211834, 0.454488, 0.292627, + 0.357219, -0.221889, 0.465004, 0.326669, 0.387362, -0.230729, 0.468527, 0.362426, + 0.423131, -0.239240, 0.475836, 0.401533, 0.455430, -0.246067, 0.475017, 0.441902, + 0.493393, -0.251557, 0.478017, 0.484239, 0.526253, -0.255571, 0.470900, 0.528586, + 0.560554, -0.257752, 0.463167, 0.574346, 0.599306, -0.258076, 0.456452, 0.621655, + 0.634541, -0.256471, 0.443725, 0.670492, 0.668907, -0.253283, 0.428719, 0.721943, + 0.705619, -0.247562, 0.411348, 0.772477, 0.739034, -0.240626, 0.388939, 0.826400, + 0.771408, -0.231493, 0.364250, 0.881702, 0.803312, -0.220125, 0.337321, 0.938500, + 0.828457, -0.206645, 0.305364, 0.997437, 0.854819, -0.190664, 0.273715, 1.056930, + 0.878666, -0.171429, 0.242218, 1.112510, 0.898404, -0.149235, 0.209556, 1.163980, + 0.917416, -0.124350, 0.176863, 1.210140, 0.933133, -0.097270, 0.142775, 1.251780, + 0.950660, -0.068361, 0.106735, 1.290280, 0.968589, -0.037872, 0.068161, 1.327030, + 0.984776, -0.006057, 0.027397, 1.361580, 0.999940, 0.026328, -0.013812, 1.394300, + 0.008674, -0.000002, 0.092898, 0.000000, 0.008640, -0.000047, 0.092524, 0.000004, + 0.008646, -0.000187, 0.092581, 0.000017, 0.008641, -0.000420, 0.092490, 0.000039, + 0.008639, -0.000746, 0.092459, 0.000070, 0.008685, -0.001165, 0.092900, 0.000111, + 0.008697, -0.001677, 0.092853, 0.000164, 0.008743, -0.002281, 0.093091, 0.000231, + 0.008827, -0.002979, 0.093568, 0.000317, 0.008989, -0.003776, 0.094617, 0.000430, + 0.009293, -0.004692, 0.096741, 0.000580, 0.009783, -0.005755, 0.100084, 0.000784, + 0.010575, -0.007015, 0.105447, 0.001063, 0.011695, -0.008518, 0.112494, 0.001447, + 0.013042, -0.010276, 0.119876, 0.001964, 0.014837, -0.012381, 0.129034, 0.002664, + 0.016872, -0.014820, 0.137812, 0.003584, 0.019369, -0.017656, 0.147696, 0.004781, + 0.022269, -0.020921, 0.157795, 0.006317, 0.025689, -0.024665, 0.168431, 0.008263, + 0.029469, -0.028860, 0.178587, 0.010671, 0.034041, -0.033644, 0.190251, 0.013663, + 0.039392, -0.039033, 0.202999, 0.017327, 0.045395, -0.045009, 0.215655, 0.021745, + 0.052194, -0.051546, 0.228686, 0.026994, 0.060028, -0.058817, 0.242838, 0.033272, + 0.069240, -0.066723, 0.258145, 0.040646, 0.079383, -0.075240, 0.273565, 0.049224, + 0.090230, -0.084185, 0.287735, 0.059011, 0.102014, -0.093648, 0.301161, 0.070202, + 0.116054, -0.103967, 0.317438, 0.083200, 0.131910, -0.114622, 0.334166, 0.097795, + 0.148239, -0.125452, 0.348192, 0.113985, 0.165809, -0.136453, 0.361094, 0.131928, + 0.184616, -0.147648, 0.373534, 0.151811, 0.207491, -0.159607, 0.391010, 0.174476, + 0.230106, -0.171119, 0.402504, 0.198798, 0.257036, -0.182906, 0.418032, 0.225796, + 0.281172, -0.193605, 0.425468, 0.254027, 0.312034, -0.204771, 0.440379, 0.285713, + 0.340402, -0.214988, 0.445406, 0.319196, 0.370231, -0.224711, 0.449680, 0.355370, + 0.407105, -0.233516, 0.460747, 0.393838, 0.439037, -0.240801, 0.460624, 0.433747, + 0.477810, -0.247620, 0.465957, 0.477234, 0.510655, -0.251823, 0.460054, 0.520440, + 0.550584, -0.255552, 0.459172, 0.567853, 0.585872, -0.257036, 0.450311, 0.615943, + 0.620466, -0.257535, 0.437763, 0.667693, 0.660496, -0.255248, 0.426639, 0.718988, + 0.695578, -0.251141, 0.409185, 0.772503, 0.732176, -0.244718, 0.390150, 0.827023, + 0.760782, -0.236782, 0.362594, 0.885651, 0.794220, -0.225923, 0.337110, 0.943756, + 0.824521, -0.213855, 0.308272, 1.008740, 0.854964, -0.197723, 0.278529, 1.067640, + 0.878065, -0.179209, 0.246208, 1.128360, 0.899834, -0.157569, 0.213290, 1.183180, + 0.918815, -0.133206, 0.181038, 1.231610, 0.934934, -0.106545, 0.146993, 1.276440, + 0.952115, -0.078057, 0.111175, 1.318420, 0.969060, -0.047828, 0.072855, 1.358390, + 0.985178, -0.016001, 0.032579, 1.396970, 1.000390, 0.017313, -0.009526, 1.433120, + 0.003841, -0.000001, 0.061358, 0.000000, 0.003900, -0.000031, 0.062292, 0.000002, + 0.003900, -0.000126, 0.062263, 0.000008, 0.003895, -0.000282, 0.062066, 0.000018, + 0.003916, -0.000503, 0.062469, 0.000032, 0.003927, -0.000784, 0.062511, 0.000052, + 0.003961, -0.001129, 0.062817, 0.000078, 0.004019, -0.001538, 0.063329, 0.000114, + 0.004150, -0.002021, 0.064644, 0.000164, 0.004412, -0.002600, 0.067389, 0.000238, + 0.004844, -0.003310, 0.071653, 0.000346, 0.005491, -0.004190, 0.077500, 0.000506, + 0.006363, -0.005273, 0.084476, 0.000739, 0.007466, -0.006604, 0.092133, 0.001073, + 0.008766, -0.008188, 0.099707, 0.001537, 0.010313, -0.010081, 0.107433, 0.002172, + 0.012331, -0.012364, 0.117088, 0.003034, 0.014627, -0.015001, 0.126438, 0.004160, + 0.017229, -0.018053, 0.135672, 0.005615, 0.020425, -0.021596, 0.146244, 0.007478, + 0.024160, -0.025623, 0.157481, 0.009810, 0.028469, -0.030221, 0.169125, 0.012715, + 0.033445, -0.035333, 0.181659, 0.016245, 0.039125, -0.041085, 0.194400, 0.020542, + 0.045472, -0.047345, 0.207082, 0.025633, 0.053098, -0.054286, 0.221656, 0.031704, + 0.061536, -0.061838, 0.236036, 0.038832, 0.070336, -0.069763, 0.248398, 0.046974, + 0.081039, -0.078476, 0.263611, 0.056525, 0.092014, -0.087349, 0.275857, 0.067172, + 0.105584, -0.097365, 0.292555, 0.079811, 0.119506, -0.107271, 0.306333, 0.093594, + 0.134434, -0.117608, 0.318888, 0.109106, 0.153399, -0.128938, 0.337552, 0.127074, + 0.171258, -0.139944, 0.349955, 0.146430, 0.191059, -0.151288, 0.361545, 0.168000, + 0.215069, -0.163018, 0.378421, 0.192082, 0.237838, -0.174226, 0.388790, 0.217838, + 0.266965, -0.186063, 0.405857, 0.246931, 0.292827, -0.196909, 0.414146, 0.277505, + 0.324352, -0.207473, 0.426955, 0.310711, 0.354427, -0.217713, 0.433429, 0.346794, + 0.389854, -0.227183, 0.443966, 0.385237, 0.420749, -0.235131, 0.444710, 0.424955, + 0.459597, -0.242786, 0.451729, 0.468446, 0.495316, -0.248767, 0.450720, 0.513422, + 0.534903, -0.253351, 0.450924, 0.560618, 0.572369, -0.256277, 0.445266, 0.609677, + 0.612383, -0.257600, 0.438798, 0.660995, 0.644037, -0.256931, 0.421693, 0.713807, + 0.686749, -0.254036, 0.410900, 0.767616, 0.719814, -0.249785, 0.390151, 0.825330, + 0.754719, -0.244283, 0.367847, 0.888311, 0.792022, -0.235076, 0.345013, 0.948177, + 0.822404, -0.225061, 0.316193, 1.016610, 0.853084, -0.211113, 0.287013, 1.080750, + 0.879871, -0.194490, 0.255424, 1.145010, 0.901655, -0.174023, 0.222879, 1.202030, + 0.919957, -0.150900, 0.189890, 1.256980, 0.938412, -0.124923, 0.156060, 1.305880, + 0.953471, -0.096814, 0.120512, 1.352900, 0.970451, -0.066734, 0.082851, 1.398600, + 0.985522, -0.034734, 0.042446, 1.441480, 1.000990, -0.001022, 0.000679, 1.483980, + 0.000965, -0.000001, 0.030641, 0.000000, 0.000992, -0.000016, 0.031464, 0.000000, + 0.000991, -0.000063, 0.031363, 0.000002, 0.000975, -0.000141, 0.030360, 0.000005, + 0.000998, -0.000253, 0.031496, 0.000009, 0.001022, -0.000397, 0.031996, 0.000015, + 0.001079, -0.000578, 0.033138, 0.000025, 0.001216, -0.000817, 0.035940, 0.000042, + 0.001445, -0.001138, 0.039965, 0.000072, 0.001788, -0.001570, 0.045056, 0.000124, + 0.002257, -0.002141, 0.050803, 0.000209, 0.002856, -0.002877, 0.056844, 0.000342, + 0.003599, -0.003803, 0.063089, 0.000544, 0.004555, -0.004963, 0.070220, 0.000842, + 0.005691, -0.006379, 0.077343, 0.001267, 0.007169, -0.008135, 0.086084, 0.001866, + 0.008853, -0.010195, 0.094408, 0.002670, 0.010932, -0.012639, 0.103951, 0.003740, + 0.013370, -0.015488, 0.113786, 0.005130, 0.016153, -0.018732, 0.123477, 0.006889, + 0.019427, -0.022465, 0.133986, 0.009106, 0.023097, -0.026598, 0.143979, 0.011807, + 0.027363, -0.031285, 0.154645, 0.015127, 0.032390, -0.036595, 0.166765, 0.019179, + 0.037922, -0.042291, 0.177932, 0.023924, 0.044750, -0.048747, 0.191670, 0.029657, + 0.051939, -0.055640, 0.203224, 0.036292, 0.059946, -0.063165, 0.215652, 0.044059, + 0.070243, -0.071431, 0.232089, 0.053162, 0.080690, -0.080061, 0.245258, 0.063456, + 0.092319, -0.089281, 0.258609, 0.075248, 0.106938, -0.099310, 0.276654, 0.088891, + 0.121238, -0.109575, 0.289847, 0.104055, 0.138817, -0.120461, 0.307566, 0.121266, + 0.155950, -0.131209, 0.320117, 0.139944, 0.178418, -0.143049, 0.339677, 0.161591, + 0.197875, -0.154074, 0.349886, 0.184303, 0.224368, -0.166307, 0.369352, 0.210669, + 0.252213, -0.178051, 0.386242, 0.238895, 0.277321, -0.189335, 0.395294, 0.269182, + 0.310332, -0.200683, 0.412148, 0.302508, 0.338809, -0.210856, 0.418266, 0.337264, + 0.372678, -0.220655, 0.428723, 0.374881, 0.405632, -0.230053, 0.433887, 0.415656, + 0.442293, -0.237993, 0.439911, 0.457982, 0.477256, -0.244897, 0.440175, 0.502831, + 0.515592, -0.250657, 0.441079, 0.550277, 0.550969, -0.255459, 0.435219, 0.601102, + 0.592883, -0.257696, 0.432882, 0.651785, 0.629092, -0.259894, 0.421054, 0.708961, + 0.672033, -0.258592, 0.411770, 0.763806, 0.709147, -0.256525, 0.395267, 0.824249, + 0.745367, -0.254677, 0.375013, 0.895100, 0.784715, -0.247892, 0.353906, 0.959317, + 0.818107, -0.240162, 0.327801, 1.031530, 0.847895, -0.229741, 0.298821, 1.106010, + 0.879603, -0.213084, 0.269115, 1.164000, 0.902605, -0.195242, 0.236606, 1.228540, + 0.922788, -0.174505, 0.203442, 1.290170, 0.944831, -0.150169, 0.169594, 1.341570, + 0.959656, -0.124099, 0.135909, 1.395600, 0.972399, -0.096063, 0.099056, 1.451280, + 0.986549, -0.065710, 0.060235, 1.503120, 1.000130, -0.033356, 0.018669, 1.553640, + 0.000006, -0.000000, 0.007783, 0.000000, 0.000000, -0.000000, 0.000028, 0.000000, + 0.000001, -0.000002, 0.000250, 0.000000, 0.000004, -0.000006, 0.000357, 0.000000, + 0.000008, -0.000017, 0.000516, 0.000000, 0.000024, -0.000045, 0.001022, 0.000001, + 0.000046, -0.000089, 0.001443, 0.000004, 0.000097, -0.000178, 0.002419, 0.000010, + 0.000171, -0.000314, 0.003549, 0.000024, 0.000293, -0.000520, 0.005138, 0.000050, + 0.000790, -0.001182, 0.023862, 0.000139, 0.001141, -0.001718, 0.028669, 0.000244, + 0.001761, -0.002497, 0.036857, 0.000421, 0.002223, -0.003337, 0.040047, 0.000657, + 0.003434, -0.004820, 0.053575, 0.001093, 0.004276, -0.006008, 0.057099, 0.001553, + 0.004614, -0.007376, 0.055108, 0.002150, 0.006957, -0.009714, 0.071577, 0.003165, + 0.008676, -0.012094, 0.079331, 0.004370, 0.010669, -0.014820, 0.086939, 0.005896, + 0.014035, -0.018350, 0.101572, 0.007988, 0.016894, -0.022006, 0.110180, 0.010423, + 0.020197, -0.026157, 0.119041, 0.013417, 0.025470, -0.031278, 0.135404, 0.017301, + 0.029838, -0.036247, 0.143700, 0.021543, 0.035159, -0.042237, 0.155120, 0.026888, + 0.042769, -0.048871, 0.171280, 0.033235, 0.049485, -0.055800, 0.181813, 0.040444, + 0.059239, -0.063558, 0.198745, 0.049004, 0.068146, -0.071838, 0.210497, 0.058824, + 0.080475, -0.080930, 0.228864, 0.070283, 0.094220, -0.090649, 0.247008, 0.083401, + 0.106777, -0.100216, 0.258812, 0.097595, 0.124471, -0.110827, 0.278617, 0.114162, + 0.138389, -0.121193, 0.287049, 0.131983, 0.159543, -0.132530, 0.307151, 0.152541, + 0.176432, -0.143611, 0.315640, 0.174673, 0.201723, -0.155480, 0.335380, 0.199842, + 0.229721, -0.167166, 0.355256, 0.227097, 0.250206, -0.178238, 0.360047, 0.256014, + 0.282118, -0.189905, 0.378761, 0.288550, 0.312821, -0.201033, 0.391810, 0.323348, + 0.341482, -0.211584, 0.397716, 0.360564, 0.377368, -0.221314, 0.410141, 0.400004, + 0.418229, -0.230474, 0.423485, 0.442371, 0.444881, -0.239443, 0.418874, 0.488796, + 0.488899, -0.245987, 0.427545, 0.535012, 0.520317, -0.253948, 0.422147, 0.589678, + 0.568566, -0.256616, 0.427190, 0.637683, 0.599607, -0.263760, 0.415114, 0.703363, + 0.642220, -0.268687, 0.408715, 0.771363, 0.685698, -0.269400, 0.399722, 0.835740, + 0.732327, -0.266642, 0.388651, 0.897764, 0.769873, -0.267712, 0.369198, 0.983312, + 0.806733, -0.263479, 0.346802, 1.062220, 0.843466, -0.254575, 0.321368, 1.134770, + 0.873008, -0.242749, 0.292110, 1.207120, 0.908438, -0.227250, 0.262143, 1.274650, + 0.936321, -0.207621, 0.228876, 1.332030, 0.950353, -0.187932, 0.194840, 1.404390, + 0.964420, -0.165154, 0.163178, 1.473200, 0.979856, -0.139302, 0.127531, 1.535740, + 0.982561, -0.111340, 0.090346, 1.599820, 0.996389, -0.080812, 0.048901, 1.657700, }; static float ltc_mag_ggx[64 * 64 * 2] = { - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000, - 0.999994, 0.000000, 0.999989, 0.000000, 0.999973, 0.000000, 0.999947, 0.000000, - 0.999894, 0.000001, 0.999798, 0.000001, 0.999617, 0.000003, 0.999234, 0.000008, - 0.998258, 0.000015, 0.995040, 0.000027, 0.980816, 0.000024, 0.967553, 0.000002, - 0.966877, 0.000004, 0.965752, 0.000007, 0.963820, 0.000013, 0.960306, 0.000020, - 0.953619, 0.000028, 0.941103, 0.000028, 0.926619, 0.000016, 0.920983, 0.000024, - 0.912293, 0.000031, 0.899277, 0.000035, 0.880884, 0.000026, 0.870399, 0.000034, - 0.856138, 0.000039, 0.837436, 0.000037, 0.820973, 0.000039, 0.803583, 0.000043, - 0.782168, 0.000040, 0.764107, 0.000045, 0.743092, 0.000046, 0.721626, 0.000046, - 0.700375, 0.000048, 0.677334, 0.000046, 0.655702, 0.000048, 0.632059, 0.000046, - 0.610125, 0.000048, 0.586530, 0.000046, 0.564508, 0.000048, 0.541405, 0.000046, - 0.519556, 0.000046, 0.497292, 0.000045, 0.475898, 0.000045, 0.454722, 0.000043, - 0.434042, 0.000042, 0.414126, 0.000041, 0.394387, 0.000040, 0.375841, 0.000039, - 0.357219, 0.000037, 0.340084, 0.000037, 0.322714, 0.000034, 0.306974, 0.000034, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999996, 0.000000, - 0.999991, 0.000000, 0.999983, 0.000000, 0.999968, 0.000000, 0.999940, 0.000000, - 0.999891, 0.000001, 0.999797, 0.000001, 0.999617, 0.000003, 0.999227, 0.000008, - 0.998239, 0.000016, 0.994937, 0.000027, 0.980225, 0.000021, 0.967549, 0.000002, - 0.966865, 0.000004, 0.965739, 0.000008, 0.963794, 0.000013, 0.960244, 0.000021, - 0.953495, 0.000028, 0.940876, 0.000027, 0.926569, 0.000016, 0.920905, 0.000024, - 0.912169, 0.000032, 0.899095, 0.000035, 0.882209, 0.000029, 0.870272, 0.000034, - 0.855977, 0.000039, 0.837431, 0.000037, 0.820826, 0.000040, 0.803408, 0.000044, - 0.782838, 0.000042, 0.763941, 0.000045, 0.742904, 0.000046, 0.721463, 0.000046, - 0.700197, 0.000048, 0.677501, 0.000047, 0.655527, 0.000048, 0.632400, 0.000048, - 0.609964, 0.000048, 0.586839, 0.000048, 0.564353, 0.000048, 0.541589, 0.000047, - 0.519413, 0.000046, 0.497337, 0.000045, 0.475797, 0.000045, 0.454659, 0.000044, - 0.434065, 0.000042, 0.414018, 0.000041, 0.394550, 0.000040, 0.375742, 0.000039, - 0.357501, 0.000038, 0.339996, 0.000037, 0.323069, 0.000035, 0.306897, 0.000034, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999995, 0.000000, - 0.999991, 0.000000, 0.999981, 0.000000, 0.999967, 0.000000, 0.999938, 0.000000, - 0.999886, 0.000001, 0.999792, 0.000002, 0.999608, 0.000004, 0.999209, 0.000008, - 0.998179, 0.000017, 0.994605, 0.000027, 0.979468, 0.000017, 0.967529, 0.000002, - 0.966836, 0.000005, 0.965690, 0.000008, 0.963706, 0.000014, 0.960063, 0.000022, - 0.953113, 0.000029, 0.940192, 0.000025, 0.927731, 0.000020, 0.920669, 0.000025, - 0.911799, 0.000032, 0.898570, 0.000034, 0.883283, 0.000032, 0.869890, 0.000036, - 0.855483, 0.000040, 0.837987, 0.000039, 0.820546, 0.000041, 0.802878, 0.000044, - 0.783402, 0.000044, 0.763439, 0.000046, 0.742925, 0.000047, 0.721633, 0.000048, - 0.699850, 0.000048, 0.677830, 0.000049, 0.655126, 0.000049, 0.632697, 0.000050, - 0.609613, 0.000049, 0.587098, 0.000049, 0.564119, 0.000048, 0.541813, 0.000048, - 0.519342, 0.000047, 0.497514, 0.000047, 0.475879, 0.000046, 0.454789, 0.000045, - 0.434217, 0.000044, 0.414086, 0.000042, 0.394744, 0.000041, 0.375782, 0.000040, - 0.357707, 0.000039, 0.340038, 0.000037, 0.323284, 0.000036, 0.306954, 0.000034, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999993, 0.000000, - 0.999988, 0.000000, 0.999979, 0.000000, 0.999962, 0.000000, 0.999933, 0.000000, - 0.999881, 0.000001, 0.999783, 0.000002, 0.999594, 0.000004, 0.999178, 0.000009, - 0.998073, 0.000018, 0.993993, 0.000028, 0.979982, 0.000015, 0.968145, 0.000004, - 0.966786, 0.000005, 0.965611, 0.000009, 0.963557, 0.000016, 0.959752, 0.000024, - 0.952461, 0.000029, 0.940193, 0.000024, 0.929042, 0.000023, 0.920266, 0.000027, - 0.911178, 0.000034, 0.897873, 0.000033, 0.884053, 0.000035, 0.869455, 0.000038, - 0.854655, 0.000040, 0.838347, 0.000042, 0.820693, 0.000044, 0.802277, 0.000045, - 0.783634, 0.000047, 0.763159, 0.000048, 0.742914, 0.000049, 0.721662, 0.000050, - 0.699668, 0.000050, 0.677839, 0.000051, 0.655091, 0.000051, 0.632665, 0.000052, - 0.609734, 0.000051, 0.587043, 0.000051, 0.564298, 0.000051, 0.541769, 0.000050, - 0.519529, 0.000049, 0.497574, 0.000048, 0.476028, 0.000047, 0.454961, 0.000046, - 0.434341, 0.000045, 0.414364, 0.000044, 0.394832, 0.000042, 0.376109, 0.000041, - 0.357790, 0.000040, 0.340379, 0.000038, 0.323385, 0.000037, 0.307295, 0.000036, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, - 0.999998, 0.000000, 0.999997, 0.000000, 0.999996, 0.000000, 0.999992, 0.000000, - 0.999986, 0.000000, 0.999975, 0.000000, 0.999959, 0.000000, 0.999927, 0.000000, - 0.999871, 0.000001, 0.999771, 0.000002, 0.999572, 0.000005, 0.999133, 0.000011, - 0.997912, 0.000020, 0.993008, 0.000028, 0.980645, 0.000014, 0.970057, 0.000006, - 0.966717, 0.000007, 0.965497, 0.000011, 0.963340, 0.000018, 0.959294, 0.000026, - 0.951519, 0.000029, 0.940517, 0.000025, 0.930140, 0.000027, 0.919720, 0.000030, - 0.910294, 0.000035, 0.897701, 0.000035, 0.884522, 0.000039, 0.869489, 0.000041, - 0.853983, 0.000042, 0.838425, 0.000045, 0.820656, 0.000047, 0.801875, 0.000048, - 0.783521, 0.000051, 0.763131, 0.000051, 0.742610, 0.000052, 0.721480, 0.000053, - 0.699696, 0.000054, 0.677592, 0.000054, 0.655250, 0.000055, 0.632452, 0.000054, - 0.609903, 0.000054, 0.586928, 0.000054, 0.564464, 0.000054, 0.541801, 0.000052, - 0.519681, 0.000052, 0.497685, 0.000051, 0.476220, 0.000050, 0.455135, 0.000049, - 0.434600, 0.000047, 0.414564, 0.000046, 0.395165, 0.000044, 0.376333, 0.000043, - 0.358197, 0.000042, 0.340640, 0.000040, 0.323816, 0.000039, 0.307581, 0.000037, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, - 0.999998, 0.000000, 0.999997, 0.000000, 0.999994, 0.000000, 0.999990, 0.000000, - 0.999984, 0.000000, 0.999972, 0.000000, 0.999952, 0.000000, 0.999919, 0.000001, - 0.999860, 0.000001, 0.999753, 0.000003, 0.999546, 0.000006, 0.999074, 0.000013, - 0.997671, 0.000023, 0.991504, 0.000026, 0.981148, 0.000013, 0.971965, 0.000009, - 0.966624, 0.000008, 0.965344, 0.000014, 0.963048, 0.000021, 0.958673, 0.000029, - 0.950262, 0.000028, 0.940836, 0.000027, 0.930996, 0.000031, 0.919848, 0.000035, - 0.909136, 0.000037, 0.897554, 0.000038, 0.884691, 0.000043, 0.869414, 0.000045, - 0.853462, 0.000045, 0.838187, 0.000050, 0.820381, 0.000050, 0.801844, 0.000052, - 0.783061, 0.000054, 0.763205, 0.000055, 0.742362, 0.000056, 0.721393, 0.000057, - 0.699676, 0.000058, 0.677395, 0.000058, 0.655208, 0.000059, 0.632451, 0.000058, - 0.609839, 0.000058, 0.587093, 0.000058, 0.564467, 0.000057, 0.542043, 0.000056, - 0.519826, 0.000055, 0.497952, 0.000054, 0.476477, 0.000053, 0.455412, 0.000051, - 0.434926, 0.000050, 0.414900, 0.000049, 0.395552, 0.000047, 0.376712, 0.000045, - 0.358622, 0.000044, 0.341048, 0.000042, 0.324262, 0.000041, 0.308013, 0.000039, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000, - 0.999997, 0.000000, 0.999995, 0.000000, 0.999994, 0.000000, 0.999988, 0.000000, - 0.999979, 0.000000, 0.999965, 0.000000, 0.999945, 0.000000, 0.999908, 0.000001, - 0.999846, 0.000002, 0.999733, 0.000004, 0.999511, 0.000008, 0.998993, 0.000016, - 0.997326, 0.000027, 0.989706, 0.000021, 0.981713, 0.000013, 0.973636, 0.000011, - 0.966509, 0.000010, 0.965149, 0.000017, 0.962669, 0.000025, 0.957860, 0.000032, - 0.949334, 0.000028, 0.941041, 0.000030, 0.931575, 0.000036, 0.920102, 0.000040, - 0.908002, 0.000038, 0.897269, 0.000043, 0.884559, 0.000048, 0.869161, 0.000048, - 0.853342, 0.000051, 0.837633, 0.000054, 0.820252, 0.000055, 0.801872, 0.000058, - 0.782418, 0.000059, 0.763100, 0.000061, 0.742183, 0.000061, 0.721098, 0.000063, - 0.699512, 0.000063, 0.677372, 0.000064, 0.655059, 0.000063, 0.632567, 0.000064, - 0.609784, 0.000063, 0.587237, 0.000063, 0.564525, 0.000062, 0.542181, 0.000061, - 0.520017, 0.000060, 0.498204, 0.000058, 0.476742, 0.000057, 0.455803, 0.000055, - 0.435251, 0.000054, 0.415374, 0.000052, 0.395921, 0.000050, 0.377253, 0.000049, - 0.359021, 0.000047, 0.341637, 0.000045, 0.324700, 0.000043, 0.308625, 0.000042, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, - 0.999996, 0.000000, 0.999993, 0.000000, 0.999989, 0.000000, 0.999983, 0.000000, - 0.999974, 0.000000, 0.999959, 0.000000, 0.999936, 0.000000, 0.999896, 0.000001, - 0.999830, 0.000002, 0.999709, 0.000005, 0.999469, 0.000010, 0.998886, 0.000019, - 0.996819, 0.000030, 0.988837, 0.000019, 0.982178, 0.000013, 0.975017, 0.000013, - 0.967101, 0.000014, 0.964905, 0.000021, 0.962180, 0.000030, 0.956821, 0.000034, - 0.948829, 0.000031, 0.941092, 0.000035, 0.931883, 0.000041, 0.920211, 0.000044, - 0.907307, 0.000043, 0.896840, 0.000049, 0.884119, 0.000053, 0.869148, 0.000054, - 0.853377, 0.000058, 0.836753, 0.000059, 0.820063, 0.000062, 0.801694, 0.000065, - 0.782116, 0.000065, 0.762673, 0.000067, 0.742133, 0.000068, 0.720779, 0.000069, - 0.699386, 0.000070, 0.677320, 0.000070, 0.654888, 0.000070, 0.632499, 0.000069, - 0.609825, 0.000069, 0.587287, 0.000068, 0.564743, 0.000067, 0.542409, 0.000066, - 0.520282, 0.000065, 0.498506, 0.000063, 0.477102, 0.000062, 0.456167, 0.000060, - 0.435728, 0.000058, 0.415809, 0.000056, 0.396517, 0.000054, 0.377737, 0.000053, - 0.359698, 0.000051, 0.342164, 0.000049, 0.325417, 0.000047, 0.309186, 0.000045, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999997, 0.000000, - 0.999994, 0.000000, 0.999993, 0.000000, 0.999987, 0.000000, 0.999981, 0.000000, - 0.999969, 0.000000, 0.999953, 0.000000, 0.999925, 0.000001, 0.999881, 0.000001, - 0.999810, 0.000003, 0.999680, 0.000007, 0.999418, 0.000013, 0.998748, 0.000023, - 0.996066, 0.000033, 0.988379, 0.000018, 0.982567, 0.000014, 0.976097, 0.000015, - 0.968475, 0.000018, 0.964606, 0.000025, 0.961564, 0.000035, 0.955517, 0.000036, - 0.948381, 0.000034, 0.941095, 0.000041, 0.931923, 0.000048, 0.919960, 0.000048, - 0.907419, 0.000050, 0.896180, 0.000056, 0.883370, 0.000059, 0.869046, 0.000062, - 0.853278, 0.000066, 0.836091, 0.000066, 0.819644, 0.000070, 0.801246, 0.000071, - 0.782031, 0.000074, 0.762066, 0.000075, 0.741964, 0.000077, 0.720554, 0.000077, - 0.699098, 0.000078, 0.677189, 0.000077, 0.654840, 0.000078, 0.632496, 0.000077, - 0.609908, 0.000076, 0.587312, 0.000075, 0.564938, 0.000074, 0.542577, 0.000073, - 0.520620, 0.000071, 0.498819, 0.000069, 0.477555, 0.000068, 0.456568, 0.000065, - 0.436278, 0.000064, 0.416370, 0.000061, 0.397144, 0.000059, 0.378412, 0.000057, - 0.360376, 0.000055, 0.342906, 0.000053, 0.326136, 0.000051, 0.309970, 0.000048, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, - 0.999994, 0.000000, 0.999991, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000, - 0.999964, 0.000000, 0.999945, 0.000000, 0.999912, 0.000001, 0.999866, 0.000002, - 0.999786, 0.000004, 0.999647, 0.000009, 0.999356, 0.000016, 0.998563, 0.000028, - 0.994928, 0.000034, 0.987999, 0.000018, 0.982893, 0.000016, 0.977044, 0.000018, - 0.969972, 0.000023, 0.964237, 0.000031, 0.960791, 0.000041, 0.954292, 0.000037, - 0.948052, 0.000040, 0.940938, 0.000048, 0.931689, 0.000055, 0.919870, 0.000054, - 0.907665, 0.000059, 0.895281, 0.000064, 0.882621, 0.000066, 0.868730, 0.000071, - 0.853008, 0.000074, 0.835944, 0.000076, 0.818949, 0.000080, 0.800951, 0.000081, - 0.781847, 0.000084, 0.761649, 0.000085, 0.741520, 0.000086, 0.720495, 0.000087, - 0.698742, 0.000087, 0.677096, 0.000087, 0.654782, 0.000086, 0.632335, 0.000086, - 0.610031, 0.000085, 0.587457, 0.000084, 0.565130, 0.000082, 0.542877, 0.000080, - 0.520900, 0.000079, 0.499291, 0.000077, 0.477971, 0.000074, 0.457221, 0.000072, - 0.436803, 0.000070, 0.417083, 0.000068, 0.397749, 0.000065, 0.379177, 0.000063, - 0.361061, 0.000060, 0.343713, 0.000058, 0.326894, 0.000055, 0.310816, 0.000053, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999996, 0.000000, - 0.999992, 0.000000, 0.999989, 0.000000, 0.999980, 0.000000, 0.999971, 0.000000, - 0.999955, 0.000000, 0.999933, 0.000001, 0.999901, 0.000001, 0.999847, 0.000003, - 0.999761, 0.000006, 0.999607, 0.000011, 0.999282, 0.000020, 0.998310, 0.000034, - 0.993288, 0.000029, 0.987855, 0.000019, 0.983167, 0.000018, 0.977908, 0.000022, - 0.971194, 0.000029, 0.963867, 0.000039, 0.959820, 0.000046, 0.953497, 0.000042, - 0.947621, 0.000048, 0.940611, 0.000057, 0.931174, 0.000062, 0.919919, 0.000063, - 0.907856, 0.000069, 0.894509, 0.000074, 0.881954, 0.000076, 0.868309, 0.000082, - 0.852511, 0.000084, 0.835821, 0.000088, 0.817981, 0.000090, 0.800504, 0.000093, - 0.781410, 0.000095, 0.761427, 0.000096, 0.740940, 0.000097, 0.720233, 0.000098, - 0.698592, 0.000098, 0.676763, 0.000098, 0.654808, 0.000097, 0.632326, 0.000096, - 0.610049, 0.000095, 0.587630, 0.000093, 0.565261, 0.000092, 0.543244, 0.000090, - 0.521273, 0.000087, 0.499818, 0.000085, 0.478536, 0.000082, 0.457826, 0.000080, - 0.437549, 0.000077, 0.417760, 0.000074, 0.398630, 0.000072, 0.379954, 0.000069, - 0.362025, 0.000066, 0.344581, 0.000063, 0.327909, 0.000061, 0.311736, 0.000058, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 1.000000, 0.000000, 0.999999, 0.000000, 0.999997, 0.000000, 0.999995, 0.000000, - 0.999992, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000, 0.999966, 0.000000, - 0.999948, 0.000000, 0.999923, 0.000001, 0.999884, 0.000002, 0.999826, 0.000004, - 0.999732, 0.000008, 0.999561, 0.000014, 0.999191, 0.000026, 0.997955, 0.000041, - 0.992228, 0.000028, 0.987638, 0.000021, 0.983395, 0.000022, 0.978614, 0.000027, - 0.972389, 0.000037, 0.964392, 0.000047, 0.958610, 0.000051, 0.952806, 0.000049, - 0.947120, 0.000057, 0.940104, 0.000067, 0.930398, 0.000069, 0.919866, 0.000074, - 0.907853, 0.000081, 0.894078, 0.000083, 0.881177, 0.000089, 0.867575, 0.000094, - 0.852107, 0.000097, 0.835502, 0.000101, 0.817560, 0.000103, 0.799840, 0.000107, - 0.780998, 0.000108, 0.761132, 0.000110, 0.740429, 0.000110, 0.719836, 0.000111, - 0.698467, 0.000111, 0.676446, 0.000110, 0.654635, 0.000110, 0.632411, 0.000109, - 0.609986, 0.000107, 0.587872, 0.000105, 0.565528, 0.000103, 0.543563, 0.000101, - 0.521760, 0.000098, 0.500188, 0.000095, 0.479204, 0.000092, 0.458413, 0.000089, - 0.438314, 0.000086, 0.418573, 0.000082, 0.399470, 0.000079, 0.380892, 0.000076, - 0.362953, 0.000073, 0.345601, 0.000070, 0.328895, 0.000066, 0.312808, 0.000063, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999995, 0.000000, - 0.999989, 0.000000, 0.999983, 0.000000, 0.999974, 0.000000, 0.999959, 0.000000, - 0.999939, 0.000001, 0.999911, 0.000001, 0.999868, 0.000003, 0.999804, 0.000005, - 0.999700, 0.000010, 0.999510, 0.000019, 0.999078, 0.000032, 0.997428, 0.000047, - 0.991620, 0.000029, 0.987479, 0.000023, 0.983582, 0.000026, 0.979186, 0.000034, - 0.973250, 0.000045, 0.965221, 0.000057, 0.957262, 0.000054, 0.952211, 0.000059, - 0.946631, 0.000069, 0.939391, 0.000079, 0.929795, 0.000079, 0.919650, 0.000088, - 0.907737, 0.000095, 0.893899, 0.000097, 0.880239, 0.000105, 0.866562, 0.000108, - 0.851640, 0.000113, 0.835021, 0.000117, 0.817311, 0.000120, 0.798845, 0.000122, - 0.780479, 0.000125, 0.760694, 0.000125, 0.740142, 0.000127, 0.719248, 0.000126, - 0.698209, 0.000127, 0.676398, 0.000126, 0.654378, 0.000124, 0.632484, 0.000123, - 0.610113, 0.000121, 0.587931, 0.000118, 0.565872, 0.000116, 0.543814, 0.000113, - 0.522265, 0.000110, 0.500835, 0.000106, 0.479818, 0.000103, 0.459258, 0.000099, - 0.439061, 0.000095, 0.419552, 0.000092, 0.400399, 0.000088, 0.381976, 0.000084, - 0.364009, 0.000081, 0.346761, 0.000077, 0.330049, 0.000074, 0.314018, 0.000070, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999992, 0.000000, - 0.999989, 0.000000, 0.999980, 0.000000, 0.999969, 0.000000, 0.999953, 0.000001, - 0.999929, 0.000001, 0.999898, 0.000002, 0.999849, 0.000004, 0.999778, 0.000007, - 0.999661, 0.000013, 0.999451, 0.000024, 0.998936, 0.000040, 0.996620, 0.000052, - 0.991094, 0.000030, 0.987487, 0.000028, 0.983731, 0.000032, 0.979647, 0.000042, - 0.973837, 0.000056, 0.965840, 0.000068, 0.956309, 0.000062, 0.951523, 0.000070, - 0.946003, 0.000084, 0.938454, 0.000091, 0.929279, 0.000094, 0.919239, 0.000104, - 0.907293, 0.000110, 0.893936, 0.000115, 0.879674, 0.000122, 0.865668, 0.000126, - 0.850998, 0.000132, 0.834498, 0.000135, 0.816903, 0.000139, 0.798235, 0.000141, - 0.779724, 0.000144, 0.760251, 0.000145, 0.739808, 0.000145, 0.718762, 0.000145, - 0.697815, 0.000144, 0.676310, 0.000144, 0.654278, 0.000142, 0.632347, 0.000139, - 0.610296, 0.000137, 0.588039, 0.000134, 0.566218, 0.000131, 0.544346, 0.000127, - 0.522701, 0.000123, 0.501542, 0.000119, 0.480508, 0.000115, 0.460092, 0.000111, - 0.440021, 0.000107, 0.420446, 0.000102, 0.401512, 0.000098, 0.382990, 0.000094, - 0.365232, 0.000090, 0.347865, 0.000085, 0.331342, 0.000082, 0.315202, 0.000077, - 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, - 0.999999, 0.000000, 0.999998, 0.000000, 0.999995, 0.000000, 0.999992, 0.000000, - 0.999986, 0.000000, 0.999976, 0.000001, 0.999964, 0.000001, 0.999945, 0.000001, - 0.999919, 0.000002, 0.999882, 0.000003, 0.999829, 0.000005, 0.999749, 0.000010, - 0.999620, 0.000018, 0.999382, 0.000031, 0.998751, 0.000050, 0.995344, 0.000051, - 0.990768, 0.000035, 0.987464, 0.000034, 0.983846, 0.000040, 0.980007, 0.000053, - 0.974494, 0.000070, 0.966220, 0.000078, 0.956273, 0.000075, 0.950952, 0.000086, - 0.945215, 0.000100, 0.937287, 0.000104, 0.928649, 0.000112, 0.918791, 0.000124, - 0.906685, 0.000127, 0.893706, 0.000136, 0.879248, 0.000142, 0.864685, 0.000148, - 0.850032, 0.000154, 0.833853, 0.000157, 0.816353, 0.000161, 0.797834, 0.000164, - 0.778831, 0.000165, 0.759756, 0.000167, 0.739419, 0.000167, 0.718491, 0.000167, - 0.697392, 0.000166, 0.676102, 0.000164, 0.654243, 0.000162, 0.632176, 0.000159, - 0.610407, 0.000155, 0.588394, 0.000152, 0.566450, 0.000148, 0.544900, 0.000144, - 0.523276, 0.000139, 0.502179, 0.000134, 0.481359, 0.000129, 0.460920, 0.000125, - 0.441084, 0.000120, 0.421517, 0.000115, 0.402721, 0.000110, 0.384222, 0.000105, - 0.366534, 0.000100, 0.349205, 0.000095, 0.332702, 0.000091, 0.316599, 0.000086, - 1.000000, 0.000001, 1.000000, 0.000001, 1.000000, 0.000001, 0.999999, 0.000001, - 0.999999, 0.000001, 0.999998, 0.000001, 0.999995, 0.000001, 0.999990, 0.000001, - 0.999984, 0.000001, 0.999973, 0.000001, 0.999959, 0.000001, 0.999936, 0.000002, - 0.999907, 0.000003, 0.999866, 0.000004, 0.999806, 0.000008, 0.999716, 0.000013, - 0.999576, 0.000023, 0.999300, 0.000039, 0.998498, 0.000061, 0.994132, 0.000049, - 0.990310, 0.000038, 0.987409, 0.000042, 0.983981, 0.000050, 0.980268, 0.000067, - 0.974875, 0.000085, 0.966063, 0.000086, 0.956779, 0.000090, 0.950259, 0.000106, - 0.944239, 0.000119, 0.936341, 0.000122, 0.928047, 0.000135, 0.918065, 0.000146, - 0.906267, 0.000151, 0.893419, 0.000162, 0.878758, 0.000166, 0.863699, 0.000174, - 0.848876, 0.000178, 0.833032, 0.000184, 0.815557, 0.000186, 0.797323, 0.000191, - 0.778124, 0.000192, 0.758929, 0.000193, 0.738979, 0.000193, 0.718213, 0.000192, - 0.696947, 0.000190, 0.675807, 0.000188, 0.654147, 0.000184, 0.632290, 0.000181, - 0.610499, 0.000177, 0.588747, 0.000173, 0.566783, 0.000167, 0.545359, 0.000163, - 0.523984, 0.000157, 0.502917, 0.000152, 0.482294, 0.000146, 0.461945, 0.000140, - 0.442133, 0.000134, 0.422705, 0.000128, 0.403916, 0.000123, 0.385540, 0.000117, - 0.367909, 0.000112, 0.350651, 0.000106, 0.334208, 0.000101, 0.318123, 0.000096, - 1.000000, 0.000001, 1.000000, 0.000001, 1.000000, 0.000001, 1.000000, 0.000001, - 0.999999, 0.000001, 0.999997, 0.000001, 0.999995, 0.000001, 0.999989, 0.000001, - 0.999981, 0.000001, 0.999969, 0.000002, 0.999952, 0.000002, 0.999928, 0.000003, - 0.999895, 0.000004, 0.999848, 0.000007, 0.999781, 0.000011, 0.999682, 0.000018, - 0.999523, 0.000031, 0.999205, 0.000050, 0.998131, 0.000073, 0.993334, 0.000051, - 0.990160, 0.000047, 0.987321, 0.000052, 0.984099, 0.000064, 0.980432, 0.000084, - 0.974976, 0.000103, 0.966429, 0.000100, 0.957633, 0.000111, 0.949422, 0.000129, - 0.943045, 0.000140, 0.935448, 0.000146, 0.927225, 0.000162, 0.917033, 0.000169, - 0.905762, 0.000180, 0.892879, 0.000190, 0.878435, 0.000196, 0.863114, 0.000205, - 0.847760, 0.000209, 0.832084, 0.000215, 0.814915, 0.000218, 0.796711, 0.000220, - 0.777603, 0.000223, 0.757991, 0.000222, 0.738371, 0.000223, 0.717872, 0.000221, - 0.696619, 0.000218, 0.675379, 0.000216, 0.654110, 0.000212, 0.632410, 0.000207, - 0.610460, 0.000202, 0.589030, 0.000197, 0.567267, 0.000190, 0.545886, 0.000185, - 0.524714, 0.000177, 0.503789, 0.000171, 0.483204, 0.000165, 0.462976, 0.000157, - 0.443294, 0.000151, 0.423988, 0.000144, 0.405325, 0.000138, 0.386981, 0.000131, - 0.369436, 0.000125, 0.352190, 0.000118, 0.335804, 0.000113, 0.319749, 0.000107, - 1.000000, 0.000002, 1.000000, 0.000002, 1.000000, 0.000002, 0.999999, 0.000002, - 0.999999, 0.000002, 0.999997, 0.000002, 0.999993, 0.000002, 0.999987, 0.000002, - 0.999979, 0.000003, 0.999965, 0.000003, 0.999947, 0.000003, 0.999918, 0.000005, - 0.999881, 0.000006, 0.999828, 0.000010, 0.999753, 0.000015, 0.999642, 0.000025, - 0.999464, 0.000040, 0.999089, 0.000064, 0.997567, 0.000086, 0.992903, 0.000059, - 0.990011, 0.000058, 0.987192, 0.000065, 0.984180, 0.000082, 0.980491, 0.000106, - 0.974779, 0.000122, 0.966750, 0.000119, 0.958248, 0.000136, 0.948884, 0.000155, - 0.941673, 0.000162, 0.934521, 0.000177, 0.926205, 0.000193, 0.916089, 0.000200, - 0.904963, 0.000214, 0.892089, 0.000222, 0.878028, 0.000233, 0.862490, 0.000239, - 0.846587, 0.000247, 0.830988, 0.000251, 0.814165, 0.000256, 0.796135, 0.000258, - 0.777052, 0.000259, 0.757201, 0.000258, 0.737655, 0.000257, 0.717477, 0.000255, - 0.696433, 0.000252, 0.675084, 0.000247, 0.653907, 0.000242, 0.632561, 0.000237, - 0.610658, 0.000229, 0.589322, 0.000224, 0.567857, 0.000216, 0.546520, 0.000209, - 0.525433, 0.000202, 0.504679, 0.000193, 0.484203, 0.000186, 0.464203, 0.000178, - 0.444549, 0.000170, 0.425346, 0.000162, 0.406706, 0.000154, 0.388576, 0.000147, - 0.370940, 0.000139, 0.353996, 0.000133, 0.337391, 0.000126, 0.321648, 0.000120, - 1.000000, 0.000004, 1.000000, 0.000004, 1.000000, 0.000004, 0.999999, 0.000004, - 0.999998, 0.000004, 0.999996, 0.000004, 0.999992, 0.000004, 0.999986, 0.000004, - 0.999976, 0.000004, 0.999961, 0.000005, 0.999938, 0.000006, 0.999908, 0.000007, - 0.999865, 0.000010, 0.999807, 0.000014, 0.999723, 0.000022, 0.999602, 0.000034, - 0.999398, 0.000053, 0.998946, 0.000081, 0.996647, 0.000094, 0.992298, 0.000067, - 0.989802, 0.000072, 0.987019, 0.000082, 0.984219, 0.000105, 0.980425, 0.000131, - 0.974241, 0.000140, 0.967006, 0.000146, 0.958930, 0.000167, 0.949157, 0.000188, - 0.940620, 0.000195, 0.933509, 0.000214, 0.925088, 0.000230, 0.915178, 0.000240, - 0.904093, 0.000255, 0.891337, 0.000264, 0.877326, 0.000275, 0.861794, 0.000281, - 0.845758, 0.000290, 0.829792, 0.000294, 0.813037, 0.000297, 0.795285, 0.000300, - 0.776323, 0.000300, 0.756673, 0.000300, 0.736856, 0.000298, 0.716883, 0.000294, - 0.696089, 0.000289, 0.675050, 0.000285, 0.653509, 0.000277, 0.632580, 0.000272, - 0.611040, 0.000263, 0.589567, 0.000255, 0.568322, 0.000246, 0.547235, 0.000237, - 0.526160, 0.000228, 0.505716, 0.000219, 0.485274, 0.000210, 0.465411, 0.000201, - 0.445854, 0.000191, 0.426911, 0.000183, 0.408222, 0.000174, 0.390307, 0.000165, - 0.372624, 0.000157, 0.355804, 0.000149, 0.339240, 0.000141, 0.323534, 0.000134, - 1.000000, 0.000006, 1.000000, 0.000006, 1.000000, 0.000006, 0.999999, 0.000006, - 0.999998, 0.000006, 0.999996, 0.000006, 0.999991, 0.000007, 0.999984, 0.000007, - 0.999973, 0.000007, 0.999955, 0.000008, 0.999931, 0.000009, 0.999896, 0.000011, - 0.999847, 0.000015, 0.999784, 0.000021, 0.999692, 0.000030, 0.999554, 0.000045, - 0.999326, 0.000069, 0.998757, 0.000102, 0.995367, 0.000096, 0.992090, 0.000083, - 0.989517, 0.000089, 0.987008, 0.000106, 0.984210, 0.000133, 0.980210, 0.000162, - 0.973676, 0.000162, 0.967052, 0.000179, 0.959385, 0.000207, 0.949461, 0.000225, - 0.939578, 0.000236, 0.932416, 0.000259, 0.923759, 0.000271, 0.914223, 0.000289, - 0.902942, 0.000301, 0.890419, 0.000314, 0.876639, 0.000324, 0.861316, 0.000332, - 0.844960, 0.000338, 0.828427, 0.000346, 0.811871, 0.000348, 0.794397, 0.000350, - 0.775726, 0.000350, 0.756170, 0.000347, 0.736091, 0.000344, 0.716213, 0.000341, - 0.695736, 0.000332, 0.674961, 0.000328, 0.653518, 0.000319, 0.632574, 0.000310, - 0.611340, 0.000301, 0.590017, 0.000291, 0.568752, 0.000280, 0.548061, 0.000270, - 0.527110, 0.000259, 0.506682, 0.000248, 0.486524, 0.000237, 0.466812, 0.000227, - 0.447320, 0.000216, 0.428473, 0.000206, 0.409921, 0.000196, 0.392028, 0.000185, - 0.374606, 0.000176, 0.357601, 0.000167, 0.341348, 0.000158, 0.325420, 0.000149, - 1.000000, 0.000010, 1.000000, 0.000010, 1.000000, 0.000010, 0.999999, 0.000010, - 0.999998, 0.000010, 0.999995, 0.000011, 0.999991, 0.000011, 0.999982, 0.000011, - 0.999968, 0.000012, 0.999950, 0.000013, 0.999922, 0.000015, 0.999884, 0.000018, - 0.999830, 0.000022, 0.999758, 0.000030, 0.999654, 0.000042, 0.999503, 0.000061, - 0.999237, 0.000090, 0.998491, 0.000127, 0.994594, 0.000108, 0.991780, 0.000103, - 0.989265, 0.000112, 0.986998, 0.000136, 0.984137, 0.000169, 0.979798, 0.000197, - 0.973370, 0.000197, 0.967239, 0.000223, 0.959543, 0.000254, 0.949466, 0.000266, - 0.939074, 0.000288, 0.931118, 0.000311, 0.922525, 0.000326, 0.912983, 0.000346, - 0.901617, 0.000356, 0.889487, 0.000374, 0.875787, 0.000383, 0.860654, 0.000394, - 0.844417, 0.000400, 0.827410, 0.000405, 0.810545, 0.000407, 0.793312, 0.000407, - 0.774847, 0.000407, 0.755621, 0.000405, 0.735511, 0.000397, 0.715435, 0.000394, - 0.695403, 0.000385, 0.674681, 0.000376, 0.653590, 0.000366, 0.632471, 0.000355, - 0.611510, 0.000344, 0.590640, 0.000332, 0.569386, 0.000319, 0.548785, 0.000307, - 0.528146, 0.000294, 0.507872, 0.000282, 0.487805, 0.000269, 0.468196, 0.000256, - 0.448922, 0.000244, 0.430093, 0.000232, 0.411845, 0.000220, 0.393808, 0.000209, - 0.376615, 0.000198, 0.359655, 0.000187, 0.343452, 0.000177, 0.327650, 0.000168, - 1.000000, 0.000017, 1.000000, 0.000017, 1.000000, 0.000017, 0.999999, 0.000017, - 0.999998, 0.000017, 0.999995, 0.000017, 0.999990, 0.000018, 0.999979, 0.000018, - 0.999966, 0.000019, 0.999944, 0.000021, 0.999912, 0.000023, 0.999869, 0.000027, - 0.999811, 0.000033, 0.999730, 0.000043, 0.999617, 0.000059, 0.999445, 0.000083, - 0.999138, 0.000118, 0.998095, 0.000157, 0.993919, 0.000125, 0.991333, 0.000126, - 0.989226, 0.000145, 0.986954, 0.000176, 0.983982, 0.000214, 0.979128, 0.000235, - 0.973327, 0.000244, 0.967416, 0.000277, 0.959729, 0.000309, 0.949758, 0.000322, - 0.939173, 0.000350, 0.929600, 0.000370, 0.921181, 0.000391, 0.911640, 0.000414, - 0.900435, 0.000427, 0.888183, 0.000441, 0.874772, 0.000455, 0.859566, 0.000462, - 0.843579, 0.000472, 0.826453, 0.000474, 0.809164, 0.000477, 0.792179, 0.000478, - 0.773866, 0.000473, 0.754944, 0.000470, 0.735133, 0.000462, 0.714858, 0.000454, - 0.694829, 0.000444, 0.674453, 0.000432, 0.653685, 0.000420, 0.632666, 0.000407, - 0.611676, 0.000392, 0.591193, 0.000379, 0.570145, 0.000363, 0.549566, 0.000349, - 0.529278, 0.000334, 0.509026, 0.000318, 0.489186, 0.000304, 0.469662, 0.000289, - 0.450691, 0.000275, 0.431841, 0.000261, 0.413752, 0.000248, 0.395951, 0.000235, - 0.378633, 0.000222, 0.361940, 0.000211, 0.345599, 0.000198, 0.329999, 0.000188, - 1.000000, 0.000027, 1.000000, 0.000027, 1.000000, 0.000027, 0.999999, 0.000027, - 0.999998, 0.000027, 0.999994, 0.000027, 0.999988, 0.000028, 0.999977, 0.000029, - 0.999961, 0.000030, 0.999937, 0.000032, 0.999904, 0.000036, 0.999854, 0.000041, - 0.999790, 0.000049, 0.999699, 0.000062, 0.999572, 0.000082, 0.999381, 0.000112, - 0.999016, 0.000154, 0.997437, 0.000188, 0.993545, 0.000156, 0.991135, 0.000161, - 0.989157, 0.000188, 0.986874, 0.000226, 0.983714, 0.000269, 0.978301, 0.000277, - 0.973227, 0.000303, 0.967317, 0.000342, 0.959477, 0.000371, 0.950012, 0.000393, - 0.939484, 0.000428, 0.928135, 0.000444, 0.919819, 0.000473, 0.910049, 0.000492, - 0.899181, 0.000513, 0.886881, 0.000524, 0.873590, 0.000540, 0.858613, 0.000547, - 0.842809, 0.000555, 0.825727, 0.000558, 0.808086, 0.000558, 0.790728, 0.000556, - 0.772987, 0.000553, 0.754100, 0.000544, 0.734669, 0.000536, 0.714411, 0.000523, - 0.694196, 0.000512, 0.674252, 0.000497, 0.653570, 0.000481, 0.632999, 0.000467, - 0.611994, 0.000449, 0.591604, 0.000432, 0.571134, 0.000415, 0.550528, 0.000396, - 0.530292, 0.000379, 0.510364, 0.000361, 0.490749, 0.000344, 0.471266, 0.000328, - 0.452462, 0.000311, 0.433907, 0.000295, 0.415659, 0.000279, 0.398138, 0.000265, - 0.380833, 0.000250, 0.364247, 0.000236, 0.348041, 0.000223, 0.332389, 0.000211, - 1.000000, 0.000042, 1.000000, 0.000042, 1.000000, 0.000042, 0.999999, 0.000042, - 0.999997, 0.000042, 0.999993, 0.000043, 0.999986, 0.000043, 0.999974, 0.000044, - 0.999956, 0.000046, 0.999930, 0.000049, 0.999892, 0.000054, 0.999838, 0.000061, - 0.999767, 0.000072, 0.999666, 0.000088, 0.999525, 0.000113, 0.999311, 0.000150, - 0.998865, 0.000200, 0.996278, 0.000211, 0.992956, 0.000190, 0.991017, 0.000210, - 0.989055, 0.000244, 0.986741, 0.000290, 0.983288, 0.000334, 0.977784, 0.000340, - 0.973037, 0.000378, 0.967181, 0.000424, 0.958971, 0.000444, 0.950093, 0.000483, - 0.939552, 0.000518, 0.927678, 0.000539, 0.918278, 0.000569, 0.908449, 0.000589, - 0.897713, 0.000612, 0.885533, 0.000626, 0.872131, 0.000639, 0.857517, 0.000647, - 0.841796, 0.000652, 0.824726, 0.000654, 0.807297, 0.000656, 0.789058, 0.000647, - 0.771890, 0.000644, 0.753082, 0.000630, 0.734100, 0.000622, 0.714094, 0.000605, - 0.693839, 0.000589, 0.673891, 0.000573, 0.653565, 0.000553, 0.633326, 0.000533, - 0.612582, 0.000515, 0.592050, 0.000493, 0.571918, 0.000472, 0.551572, 0.000452, - 0.531553, 0.000430, 0.511750, 0.000410, 0.492380, 0.000390, 0.473143, 0.000370, - 0.454230, 0.000351, 0.435963, 0.000332, 0.417870, 0.000315, 0.400387, 0.000297, - 0.383332, 0.000281, 0.366665, 0.000265, 0.350633, 0.000251, 0.334964, 0.000236, - 1.000000, 0.000064, 1.000000, 0.000064, 1.000000, 0.000064, 0.999999, 0.000064, - 0.999997, 0.000065, 0.999994, 0.000065, 0.999985, 0.000066, 0.999972, 0.000068, - 0.999952, 0.000070, 0.999922, 0.000074, 0.999880, 0.000080, 0.999820, 0.000090, - 0.999741, 0.000104, 0.999629, 0.000125, 0.999474, 0.000156, 0.999229, 0.000201, - 0.998662, 0.000259, 0.995299, 0.000245, 0.992732, 0.000245, 0.990847, 0.000273, - 0.988911, 0.000316, 0.986540, 0.000372, 0.982636, 0.000410, 0.977346, 0.000422, - 0.972909, 0.000476, 0.966821, 0.000522, 0.958686, 0.000545, 0.949754, 0.000589, - 0.939184, 0.000620, 0.927505, 0.000654, 0.916606, 0.000682, 0.906707, 0.000704, - 0.895937, 0.000726, 0.883913, 0.000744, 0.870642, 0.000755, 0.856241, 0.000764, - 0.840690, 0.000771, 0.823728, 0.000766, 0.806481, 0.000768, 0.787924, 0.000754, - 0.770588, 0.000750, 0.751991, 0.000732, 0.733407, 0.000718, 0.713688, 0.000701, - 0.693595, 0.000679, 0.673426, 0.000657, 0.653590, 0.000636, 0.633576, 0.000612, - 0.613144, 0.000586, 0.592711, 0.000563, 0.572722, 0.000538, 0.552762, 0.000513, - 0.532985, 0.000490, 0.513219, 0.000464, 0.493992, 0.000442, 0.475090, 0.000419, - 0.456287, 0.000397, 0.438152, 0.000376, 0.420294, 0.000355, 0.402749, 0.000335, - 0.385879, 0.000316, 0.369352, 0.000298, 0.353301, 0.000281, 0.337781, 0.000265, - 1.000000, 0.000097, 1.000000, 0.000097, 1.000000, 0.000097, 0.999999, 0.000097, - 0.999997, 0.000097, 0.999993, 0.000098, 0.999984, 0.000099, 0.999969, 0.000101, - 0.999946, 0.000105, 0.999913, 0.000110, 0.999868, 0.000118, 0.999801, 0.000130, - 0.999712, 0.000149, 0.999589, 0.000175, 0.999416, 0.000214, 0.999136, 0.000269, - 0.998367, 0.000333, 0.994701, 0.000305, 0.992497, 0.000318, 0.990608, 0.000354, - 0.988715, 0.000409, 0.986241, 0.000473, 0.981696, 0.000495, 0.977097, 0.000533, - 0.972583, 0.000594, 0.966142, 0.000637, 0.958230, 0.000670, 0.949677, 0.000719, - 0.939226, 0.000751, 0.927501, 0.000793, 0.915199, 0.000820, 0.904980, 0.000848, - 0.894243, 0.000869, 0.882154, 0.000884, 0.869161, 0.000898, 0.854751, 0.000901, - 0.839368, 0.000907, 0.822874, 0.000902, 0.805514, 0.000897, 0.787160, 0.000882, - 0.769061, 0.000870, 0.751000, 0.000852, 0.732614, 0.000831, 0.713171, 0.000807, - 0.693472, 0.000783, 0.673528, 0.000756, 0.653397, 0.000727, 0.633781, 0.000700, - 0.613877, 0.000671, 0.593506, 0.000640, 0.573667, 0.000614, 0.553932, 0.000583, - 0.534345, 0.000554, 0.515042, 0.000528, 0.495674, 0.000499, 0.477132, 0.000474, - 0.458609, 0.000448, 0.440354, 0.000424, 0.422765, 0.000400, 0.405472, 0.000378, - 0.388482, 0.000355, 0.372191, 0.000336, 0.356099, 0.000315, 0.340737, 0.000298, - 1.000000, 0.000143, 1.000000, 0.000143, 1.000000, 0.000143, 0.999999, 0.000144, - 0.999996, 0.000144, 0.999991, 0.000145, 0.999981, 0.000147, 0.999966, 0.000149, - 0.999941, 0.000154, 0.999905, 0.000161, 0.999852, 0.000172, 0.999780, 0.000187, - 0.999681, 0.000210, 0.999546, 0.000244, 0.999352, 0.000292, 0.999027, 0.000357, - 0.997886, 0.000422, 0.994190, 0.000385, 0.992140, 0.000410, 0.990274, 0.000456, - 0.988455, 0.000527, 0.985804, 0.000598, 0.981030, 0.000613, 0.976674, 0.000668, - 0.972021, 0.000737, 0.965274, 0.000774, 0.958046, 0.000831, 0.949333, 0.000876, - 0.939135, 0.000917, 0.927119, 0.000952, 0.914690, 0.000991, 0.903006, 0.001013, - 0.892368, 0.001038, 0.880231, 0.001050, 0.867432, 0.001063, 0.853208, 0.001068, - 0.837956, 0.001065, 0.821772, 0.001059, 0.804328, 0.001047, 0.786465, 0.001032, - 0.768004, 0.001011, 0.749720, 0.000986, 0.731682, 0.000963, 0.712813, 0.000932, - 0.693139, 0.000899, 0.673566, 0.000870, 0.653483, 0.000836, 0.633891, 0.000800, - 0.614433, 0.000767, 0.594586, 0.000732, 0.574769, 0.000696, 0.555149, 0.000664, - 0.535898, 0.000630, 0.516753, 0.000596, 0.497816, 0.000567, 0.479034, 0.000534, - 0.460975, 0.000507, 0.442935, 0.000477, 0.425263, 0.000451, 0.408248, 0.000425, - 0.391339, 0.000400, 0.375130, 0.000378, 0.359172, 0.000354, 0.343876, 0.000335, - 1.000000, 0.000209, 1.000000, 0.000209, 1.000000, 0.000209, 0.999999, 0.000209, - 0.999996, 0.000210, 0.999991, 0.000211, 0.999979, 0.000213, 0.999963, 0.000217, - 0.999933, 0.000223, 0.999894, 0.000232, 0.999837, 0.000246, 0.999756, 0.000266, - 0.999648, 0.000295, 0.999499, 0.000337, 0.999283, 0.000396, 0.998896, 0.000474, - 0.997006, 0.000520, 0.993819, 0.000497, 0.991632, 0.000524, 0.989875, 0.000587, - 0.988109, 0.000676, 0.985155, 0.000748, 0.980479, 0.000769, 0.976271, 0.000841, - 0.971347, 0.000911, 0.964528, 0.000953, 0.957632, 0.001022, 0.948681, 0.001061, - 0.938716, 0.001119, 0.926629, 0.001148, 0.914025, 0.001190, 0.901026, 0.001212, - 0.890358, 0.001239, 0.878283, 0.001253, 0.865459, 0.001255, 0.851407, 0.001261, - 0.836276, 0.001248, 0.820436, 0.001244, 0.803253, 0.001221, 0.785562, 0.001201, - 0.767180, 0.001178, 0.748551, 0.001143, 0.730564, 0.001109, 0.712253, 0.001076, - 0.692867, 0.001036, 0.673695, 0.000997, 0.653912, 0.000957, 0.634129, 0.000917, - 0.615004, 0.000874, 0.595587, 0.000833, 0.575965, 0.000795, 0.556600, 0.000752, - 0.537428, 0.000716, 0.518623, 0.000677, 0.499964, 0.000641, 0.481356, 0.000606, - 0.463279, 0.000570, 0.445673, 0.000540, 0.428032, 0.000507, 0.411112, 0.000480, - 0.394444, 0.000451, 0.378247, 0.000424, 0.362415, 0.000399, 0.347103, 0.000375, - 1.000000, 0.000301, 1.000000, 0.000301, 1.000000, 0.000301, 0.999998, 0.000301, - 0.999996, 0.000302, 0.999989, 0.000303, 0.999977, 0.000306, 0.999958, 0.000311, - 0.999927, 0.000319, 0.999884, 0.000331, 0.999820, 0.000348, 0.999733, 0.000374, - 0.999613, 0.000410, 0.999447, 0.000462, 0.999204, 0.000533, 0.998725, 0.000625, - 0.995871, 0.000632, 0.993194, 0.000632, 0.991541, 0.000689, 0.989773, 0.000767, - 0.987647, 0.000864, 0.984193, 0.000922, 0.980016, 0.000971, 0.975859, 0.001060, - 0.970514, 0.001122, 0.963625, 0.001172, 0.956959, 0.001252, 0.947956, 0.001294, - 0.938090, 0.001359, 0.926590, 0.001393, 0.913829, 0.001433, 0.900050, 0.001458, - 0.888129, 0.001475, 0.876070, 0.001488, 0.863461, 0.001487, 0.849594, 0.001489, - 0.834531, 0.001465, 0.819030, 0.001458, 0.802122, 0.001430, 0.784450, 0.001397, - 0.766434, 0.001363, 0.747816, 0.001326, 0.729519, 0.001283, 0.711454, 0.001238, - 0.692699, 0.001191, 0.673723, 0.001146, 0.654386, 0.001096, 0.634673, 0.001046, - 0.615554, 0.001000, 0.596462, 0.000948, 0.577385, 0.000902, 0.558257, 0.000856, - 0.539200, 0.000810, 0.520543, 0.000769, 0.502206, 0.000724, 0.484020, 0.000686, - 0.465779, 0.000645, 0.448455, 0.000610, 0.431091, 0.000572, 0.414147, 0.000540, - 0.397650, 0.000507, 0.381576, 0.000478, 0.365881, 0.000448, 0.350582, 0.000421, - 1.000000, 0.000427, 1.000000, 0.000427, 1.000000, 0.000427, 0.999998, 0.000428, - 0.999995, 0.000429, 0.999988, 0.000431, 0.999976, 0.000434, 0.999952, 0.000441, - 0.999919, 0.000451, 0.999871, 0.000466, 0.999801, 0.000488, 0.999704, 0.000520, - 0.999572, 0.000566, 0.999389, 0.000629, 0.999114, 0.000715, 0.998488, 0.000819, - 0.995234, 0.000804, 0.993021, 0.000830, 0.991407, 0.000903, 0.989625, 0.000997, - 0.987064, 0.001097, 0.983265, 0.001144, 0.979535, 0.001227, 0.975224, 0.001326, - 0.969574, 0.001381, 0.963021, 0.001459, 0.956046, 0.001528, 0.947136, 0.001582, - 0.937313, 0.001635, 0.926073, 0.001684, 0.913121, 0.001716, 0.899165, 0.001742, - 0.885891, 0.001761, 0.873783, 0.001764, 0.861331, 0.001762, 0.847569, 0.001753, - 0.832785, 0.001728, 0.817442, 0.001702, 0.800613, 0.001666, 0.783597, 0.001629, - 0.765710, 0.001583, 0.747021, 0.001531, 0.728593, 0.001480, 0.710661, 0.001428, - 0.692426, 0.001369, 0.673623, 0.001311, 0.654940, 0.001256, 0.635448, 0.001195, - 0.616221, 0.001138, 0.597531, 0.001082, 0.578795, 0.001027, 0.559892, 0.000971, - 0.541307, 0.000920, 0.522608, 0.000868, 0.504484, 0.000821, 0.486603, 0.000773, - 0.468802, 0.000730, 0.451172, 0.000685, 0.434348, 0.000648, 0.417445, 0.000606, - 0.401077, 0.000572, 0.385039, 0.000536, 0.369483, 0.000504, 0.354272, 0.000473, - 1.000000, 0.000600, 1.000000, 0.000600, 1.000000, 0.000600, 0.999998, 0.000600, - 0.999994, 0.000601, 0.999987, 0.000604, 0.999972, 0.000609, 0.999949, 0.000617, - 0.999912, 0.000630, 0.999857, 0.000649, 0.999781, 0.000677, 0.999674, 0.000717, - 0.999528, 0.000773, 0.999326, 0.000850, 0.999009, 0.000953, 0.998112, 0.001064, - 0.994496, 0.001022, 0.992806, 0.001086, 0.991211, 0.001176, 0.989415, 0.001290, - 0.986499, 0.001390, 0.982679, 0.001445, 0.978839, 0.001540, 0.974295, 0.001644, - 0.968784, 0.001715, 0.962324, 0.001803, 0.954956, 0.001864, 0.946240, 0.001938, - 0.936517, 0.001982, 0.925186, 0.002030, 0.912520, 0.002066, 0.898441, 0.002078, - 0.884394, 0.002099, 0.871273, 0.002087, 0.859057, 0.002087, 0.845243, 0.002055, - 0.830723, 0.002029, 0.815801, 0.001995, 0.799140, 0.001942, 0.782372, 0.001888, - 0.764820, 0.001837, 0.746586, 0.001774, 0.728100, 0.001706, 0.709842, 0.001641, - 0.692019, 0.001574, 0.673640, 0.001503, 0.655277, 0.001435, 0.636438, 0.001364, - 0.617364, 0.001299, 0.598603, 0.001230, 0.580195, 0.001166, 0.561786, 0.001104, - 0.543377, 0.001041, 0.525093, 0.000984, 0.506791, 0.000927, 0.489291, 0.000874, - 0.471811, 0.000822, 0.454435, 0.000775, 0.437493, 0.000727, 0.420977, 0.000684, - 0.404729, 0.000644, 0.388756, 0.000603, 0.373344, 0.000568, 0.358191, 0.000532, - 1.000000, 0.000832, 1.000000, 0.000832, 1.000000, 0.000832, 0.999998, 0.000833, - 0.999995, 0.000834, 0.999985, 0.000838, 0.999969, 0.000844, 0.999944, 0.000854, - 0.999903, 0.000870, 0.999843, 0.000894, 0.999759, 0.000929, 0.999643, 0.000978, - 0.999480, 0.001047, 0.999255, 0.001140, 0.998885, 0.001262, 0.997405, 0.001359, - 0.994240, 0.001336, 0.992458, 0.001409, 0.990929, 0.001523, 0.989116, 0.001659, - 0.985624, 0.001741, 0.982003, 0.001821, 0.978336, 0.001945, 0.973184, 0.002027, - 0.967800, 0.002122, 0.961348, 0.002214, 0.953841, 0.002282, 0.945340, 0.002357, - 0.935552, 0.002406, 0.924064, 0.002444, 0.911827, 0.002476, 0.897731, 0.002484, - 0.883409, 0.002499, 0.868625, 0.002467, 0.856529, 0.002465, 0.842999, 0.002424, - 0.828505, 0.002374, 0.813825, 0.002326, 0.797813, 0.002267, 0.781097, 0.002197, - 0.764038, 0.002124, 0.746067, 0.002048, 0.727687, 0.001967, 0.709571, 0.001888, - 0.691503, 0.001805, 0.673673, 0.001718, 0.655732, 0.001641, 0.637399, 0.001559, - 0.618616, 0.001476, 0.600050, 0.001401, 0.581713, 0.001324, 0.563546, 0.001250, - 0.545605, 0.001182, 0.527559, 0.001112, 0.509764, 0.001050, 0.491930, 0.000986, - 0.475011, 0.000929, 0.457878, 0.000873, 0.440979, 0.000820, 0.424613, 0.000772, - 0.408549, 0.000722, 0.392771, 0.000680, 0.377317, 0.000637, 0.362352, 0.000598, - 1.000000, 0.001143, 1.000000, 0.001143, 0.999999, 0.001143, 0.999998, 0.001144, - 0.999994, 0.001146, 0.999984, 0.001150, 0.999967, 0.001158, 0.999937, 0.001171, - 0.999894, 0.001191, 0.999828, 0.001220, 0.999735, 0.001263, 0.999606, 0.001324, - 0.999426, 0.001407, 0.999173, 0.001519, 0.998730, 0.001661, 0.996243, 0.001702, - 0.993779, 0.001728, 0.991900, 0.001811, 0.990524, 0.001960, 0.988680, 0.002120, - 0.984663, 0.002176, 0.981457, 0.002306, 0.977608, 0.002440, 0.972215, 0.002513, - 0.966798, 0.002629, 0.960241, 0.002714, 0.952489, 0.002784, 0.944127, 0.002854, - 0.934282, 0.002910, 0.923271, 0.002946, 0.910803, 0.002963, 0.896705, 0.002968, - 0.882380, 0.002966, 0.867116, 0.002932, 0.853636, 0.002894, 0.840469, 0.002847, - 0.826390, 0.002786, 0.811759, 0.002716, 0.796113, 0.002632, 0.779518, 0.002546, - 0.763142, 0.002460, 0.745464, 0.002365, 0.727491, 0.002265, 0.709414, 0.002164, - 0.691396, 0.002071, 0.673680, 0.001971, 0.656049, 0.001870, 0.638188, 0.001776, - 0.620177, 0.001685, 0.601506, 0.001589, 0.583620, 0.001506, 0.565496, 0.001418, - 0.547890, 0.001337, 0.530323, 0.001260, 0.512795, 0.001186, 0.495199, 0.001115, - 0.478101, 0.001049, 0.461511, 0.000984, 0.444879, 0.000926, 0.428424, 0.000867, - 0.412495, 0.000814, 0.396975, 0.000764, 0.381614, 0.000716, 0.366732, 0.000672, - 1.000000, 0.001555, 1.000000, 0.001555, 1.000000, 0.001555, 0.999998, 0.001556, - 0.999994, 0.001559, 0.999983, 0.001564, 0.999963, 0.001573, 0.999932, 0.001589, - 0.999882, 0.001614, 0.999810, 0.001650, 0.999708, 0.001703, 0.999565, 0.001777, - 0.999368, 0.001877, 0.999081, 0.002010, 0.998520, 0.002172, 0.995490, 0.002174, - 0.993252, 0.002224, 0.991727, 0.002350, 0.989951, 0.002506, 0.988029, 0.002688, - 0.984029, 0.002750, 0.980683, 0.002898, 0.976554, 0.003033, 0.971390, 0.003133, - 0.965544, 0.003237, 0.959120, 0.003334, 0.951183, 0.003404, 0.942974, 0.003475, - 0.932642, 0.003504, 0.922158, 0.003545, 0.909404, 0.003539, 0.896071, 0.003544, - 0.881206, 0.003499, 0.866077, 0.003473, 0.850930, 0.003415, 0.837703, 0.003334, - 0.823878, 0.003249, 0.809449, 0.003163, 0.794379, 0.003064, 0.778138, 0.002950, - 0.761997, 0.002841, 0.744938, 0.002721, 0.727212, 0.002607, 0.709549, 0.002489, - 0.691704, 0.002368, 0.673689, 0.002252, 0.656453, 0.002138, 0.639128, 0.002022, - 0.621512, 0.001914, 0.603598, 0.001810, 0.585590, 0.001705, 0.567852, 0.001609, - 0.550300, 0.001514, 0.533033, 0.001425, 0.515942, 0.001340, 0.498814, 0.001260, - 0.481595, 0.001182, 0.465117, 0.001112, 0.448865, 0.001041, 0.432711, 0.000977, - 0.416822, 0.000919, 0.401272, 0.000858, 0.386226, 0.000807, 0.371321, 0.000755, - 1.000000, 0.002096, 1.000000, 0.002096, 1.000000, 0.002096, 0.999997, 0.002097, - 0.999991, 0.002100, 0.999979, 0.002107, 0.999959, 0.002118, 0.999925, 0.002138, - 0.999870, 0.002168, 0.999791, 0.002213, 0.999677, 0.002277, 0.999521, 0.002365, - 0.999301, 0.002485, 0.998977, 0.002642, 0.998191, 0.002817, 0.994801, 0.002785, - 0.993091, 0.002888, 0.991571, 0.003039, 0.989700, 0.003216, 0.987023, 0.003373, - 0.983289, 0.003461, 0.979892, 0.003637, 0.975111, 0.003736, 0.970351, 0.003884, - 0.964131, 0.003971, 0.957747, 0.004081, 0.949536, 0.004135, 0.941372, 0.004203, - 0.931049, 0.004228, 0.920647, 0.004250, 0.908033, 0.004228, 0.895028, 0.004220, - 0.879968, 0.004150, 0.864875, 0.004088, 0.849180, 0.004009, 0.834934, 0.003912, - 0.821397, 0.003801, 0.807135, 0.003680, 0.792363, 0.003552, 0.776661, 0.003411, - 0.760705, 0.003281, 0.744408, 0.003140, 0.726994, 0.002991, 0.709598, 0.002850, - 0.692112, 0.002712, 0.674435, 0.002572, 0.656760, 0.002434, 0.639982, 0.002304, - 0.622983, 0.002178, 0.605471, 0.002050, 0.587960, 0.001938, 0.570463, 0.001820, - 0.553058, 0.001715, 0.535894, 0.001611, 0.519089, 0.001514, 0.502454, 0.001421, - 0.485681, 0.001335, 0.468935, 0.001250, 0.452951, 0.001173, 0.437139, 0.001102, - 0.421446, 0.001031, 0.405951, 0.000966, 0.391003, 0.000908, 0.376198, 0.000848, - 1.000000, 0.002801, 1.000000, 0.002801, 0.999999, 0.002801, 0.999997, 0.002802, - 0.999992, 0.002806, 0.999979, 0.002814, 0.999956, 0.002828, 0.999916, 0.002852, - 0.999857, 0.002889, 0.999768, 0.002943, 0.999645, 0.003019, 0.999470, 0.003125, - 0.999229, 0.003267, 0.998852, 0.003450, 0.997558, 0.003611, 0.994417, 0.003590, - 0.992824, 0.003724, 0.991344, 0.003907, 0.989337, 0.004104, 0.985811, 0.004210, - 0.982772, 0.004375, 0.979001, 0.004551, 0.974102, 0.004645, 0.969197, 0.004806, - 0.962759, 0.004878, 0.956207, 0.004982, 0.947909, 0.005034, 0.939596, 0.005075, - 0.929642, 0.005098, 0.918807, 0.005085, 0.906921, 0.005056, 0.893312, 0.004988, - 0.878933, 0.004913, 0.863986, 0.004826, 0.847936, 0.004708, 0.832253, 0.004569, - 0.818619, 0.004427, 0.804788, 0.004277, 0.790241, 0.004119, 0.775162, 0.003948, - 0.759463, 0.003774, 0.743598, 0.003610, 0.726970, 0.003436, 0.709646, 0.003264, - 0.692770, 0.003097, 0.675371, 0.002936, 0.657863, 0.002777, 0.640772, 0.002617, - 0.624441, 0.002474, 0.607497, 0.002331, 0.590438, 0.002190, 0.573224, 0.002066, - 0.556168, 0.001935, 0.539232, 0.001825, 0.522352, 0.001707, 0.506172, 0.001606, - 0.489842, 0.001505, 0.473463, 0.001409, 0.457266, 0.001326, 0.441609, 0.001238, - 0.426348, 0.001163, 0.411002, 0.001089, 0.396045, 0.001019, 0.381448, 0.000956, - 1.000000, 0.003712, 1.000000, 0.003712, 1.000000, 0.003713, 0.999997, 0.003714, - 0.999990, 0.003719, 0.999977, 0.003728, 0.999950, 0.003745, 0.999908, 0.003774, - 0.999843, 0.003818, 0.999745, 0.003883, 0.999608, 0.003974, 0.999415, 0.004100, - 0.999143, 0.004267, 0.998700, 0.004476, 0.996363, 0.004553, 0.994021, 0.004611, - 0.992372, 0.004764, 0.991007, 0.004991, 0.988767, 0.005197, 0.984872, 0.005284, - 0.982004, 0.005489, 0.977714, 0.005644, 0.973076, 0.005769, 0.967565, 0.005892, - 0.961384, 0.005996, 0.954435, 0.006060, 0.946303, 0.006113, 0.937662, 0.006120, - 0.927867, 0.006122, 0.916475, 0.006048, 0.905410, 0.006031, 0.891591, 0.005922, - 0.877573, 0.005789, 0.862511, 0.005666, 0.846861, 0.005515, 0.830680, 0.005338, - 0.815725, 0.005155, 0.802321, 0.004966, 0.787826, 0.004754, 0.773454, 0.004560, - 0.758224, 0.004347, 0.742650, 0.004144, 0.726729, 0.003937, 0.710155, 0.003736, - 0.693312, 0.003537, 0.676530, 0.003344, 0.659444, 0.003160, 0.642051, 0.002978, - 0.625758, 0.002806, 0.609615, 0.002643, 0.592919, 0.002485, 0.576298, 0.002333, - 0.559489, 0.002195, 0.542891, 0.002054, 0.526255, 0.001934, 0.509853, 0.001807, - 0.494131, 0.001698, 0.478114, 0.001591, 0.462274, 0.001490, 0.446412, 0.001395, - 0.431274, 0.001310, 0.416350, 0.001224, 0.401476, 0.001148, 0.386993, 0.001076, - 1.000000, 0.004882, 1.000000, 0.004882, 1.000000, 0.004883, 0.999997, 0.004885, - 0.999988, 0.004890, 0.999974, 0.004901, 0.999946, 0.004922, 0.999897, 0.004956, - 0.999825, 0.005009, 0.999718, 0.005086, 0.999565, 0.005194, 0.999352, 0.005341, - 0.999046, 0.005535, 0.998492, 0.005770, 0.995564, 0.005785, 0.993339, 0.005864, - 0.991834, 0.006060, 0.990496, 0.006333, 0.987826, 0.006519, 0.983830, 0.006608, - 0.981090, 0.006855, 0.976131, 0.006958, 0.971922, 0.007142, 0.965901, 0.007214, - 0.959606, 0.007320, 0.952504, 0.007358, 0.944365, 0.007385, 0.935652, 0.007380, - 0.925813, 0.007336, 0.914397, 0.007231, 0.903257, 0.007140, 0.890015, 0.007001, - 0.876014, 0.006828, 0.861436, 0.006656, 0.845752, 0.006445, 0.829169, 0.006216, - 0.813435, 0.005978, 0.799701, 0.005757, 0.785726, 0.005499, 0.771520, 0.005250, - 0.756830, 0.004996, 0.741951, 0.004754, 0.726367, 0.004508, 0.710537, 0.004268, - 0.693965, 0.004035, 0.677724, 0.003808, 0.661170, 0.003594, 0.644274, 0.003384, - 0.627449, 0.003182, 0.611645, 0.002997, 0.595614, 0.002810, 0.579426, 0.002643, - 0.563016, 0.002475, 0.546728, 0.002326, 0.530539, 0.002178, 0.514164, 0.002042, - 0.498344, 0.001914, 0.482957, 0.001792, 0.467336, 0.001677, 0.451994, 0.001576, - 0.436514, 0.001471, 0.421780, 0.001380, 0.407271, 0.001292, 0.392822, 0.001210, - 1.000000, 0.006374, 1.000000, 0.006374, 0.999999, 0.006375, 0.999996, 0.006377, - 0.999987, 0.006384, 0.999971, 0.006397, 0.999939, 0.006421, 0.999888, 0.006462, - 0.999807, 0.006524, 0.999689, 0.006615, 0.999520, 0.006742, 0.999283, 0.006913, - 0.998936, 0.007136, 0.998165, 0.007385, 0.994847, 0.007344, 0.993182, 0.007500, - 0.991665, 0.007725, 0.989708, 0.007976, 0.986663, 0.008130, 0.983288, 0.008304, - 0.980104, 0.008535, 0.974855, 0.008610, 0.970450, 0.008791, 0.964509, 0.008864, - 0.957594, 0.008903, 0.950546, 0.008933, 0.942225, 0.008901, 0.933365, 0.008868, - 0.923202, 0.008732, 0.912605, 0.008631, 0.901099, 0.008474, 0.888177, 0.008258, - 0.873955, 0.008018, 0.860091, 0.007790, 0.844340, 0.007525, 0.828517, 0.007241, - 0.812390, 0.006938, 0.797210, 0.006648, 0.783489, 0.006348, 0.769514, 0.006042, - 0.755419, 0.005736, 0.741083, 0.005444, 0.726059, 0.005155, 0.710809, 0.004871, - 0.695052, 0.004598, 0.678886, 0.004334, 0.663042, 0.004080, 0.646634, 0.003843, - 0.630117, 0.003609, 0.613804, 0.003389, 0.598338, 0.003185, 0.582687, 0.002984, - 0.566809, 0.002801, 0.550817, 0.002623, 0.534937, 0.002458, 0.519151, 0.002306, - 0.503118, 0.002155, 0.487723, 0.002020, 0.472725, 0.001894, 0.457599, 0.001771, - 0.442558, 0.001658, 0.427624, 0.001555, 0.413171, 0.001453, 0.399122, 0.001365, - 1.000000, 0.008265, 1.000000, 0.008265, 1.000000, 0.008266, 0.999996, 0.008268, - 0.999987, 0.008276, 0.999967, 0.008292, 0.999933, 0.008320, 0.999876, 0.008368, - 0.999786, 0.008440, 0.999655, 0.008546, 0.999468, 0.008693, 0.999203, 0.008891, - 0.998803, 0.009144, 0.997480, 0.009358, 0.994446, 0.009333, 0.992920, 0.009531, - 0.991414, 0.009789, 0.989049, 0.010023, 0.985820, 0.010166, 0.982441, 0.010358, - 0.978595, 0.010529, 0.973495, 0.010627, 0.968405, 0.010726, 0.962717, 0.010823, - 0.955478, 0.010810, 0.948275, 0.010791, 0.940006, 0.010716, 0.930831, 0.010631, - 0.920648, 0.010408, 0.910205, 0.010231, 0.898445, 0.010005, 0.885986, 0.009719, - 0.872204, 0.009407, 0.858436, 0.009109, 0.843454, 0.008766, 0.827437, 0.008398, - 0.811488, 0.008037, 0.796039, 0.007674, 0.781083, 0.007310, 0.767642, 0.006940, - 0.753901, 0.006575, 0.740131, 0.006227, 0.725845, 0.005884, 0.710991, 0.005556, - 0.696002, 0.005231, 0.680461, 0.004925, 0.664875, 0.004635, 0.649273, 0.004354, - 0.633020, 0.004087, 0.617050, 0.003841, 0.601154, 0.003596, 0.586008, 0.003376, - 0.570699, 0.003160, 0.555166, 0.002960, 0.539645, 0.002776, 0.524159, 0.002595, - 0.508682, 0.002433, 0.493163, 0.002279, 0.478004, 0.002131, 0.463470, 0.001995, - 0.448778, 0.001870, 0.434105, 0.001747, 0.419576, 0.001639, 0.405541, 0.001533, - 1.000000, 0.010646, 1.000000, 0.010646, 0.999999, 0.010647, 0.999995, 0.010650, - 0.999985, 0.010659, 0.999964, 0.010677, 0.999925, 0.010711, 0.999861, 0.010766, - 0.999763, 0.010850, 0.999616, 0.010972, 0.999408, 0.011141, 0.999112, 0.011366, - 0.998637, 0.011647, 0.996223, 0.011723, 0.994006, 0.011806, 0.992444, 0.012025, - 0.991028, 0.012331, 0.988030, 0.012495, 0.984816, 0.012654, 0.981399, 0.012854, - 0.977085, 0.012969, 0.972154, 0.013091, 0.966617, 0.013117, 0.960628, 0.013158, - 0.953295, 0.013109, 0.945750, 0.012997, 0.937654, 0.012880, 0.927716, 0.012648, - 0.917932, 0.012389, 0.907719, 0.012131, 0.895840, 0.011801, 0.883526, 0.011414, - 0.870301, 0.011007, 0.856272, 0.010602, 0.842251, 0.010194, 0.826466, 0.009733, - 0.810859, 0.009285, 0.795051, 0.008833, 0.780053, 0.008403, 0.765750, 0.007964, - 0.752298, 0.007525, 0.739153, 0.007115, 0.725514, 0.006704, 0.711473, 0.006327, - 0.696936, 0.005952, 0.682126, 0.005592, 0.667027, 0.005254, 0.651875, 0.004938, - 0.636463, 0.004628, 0.620641, 0.004339, 0.604931, 0.004070, 0.589549, 0.003809, - 0.574712, 0.003570, 0.559775, 0.003345, 0.544514, 0.003125, 0.529555, 0.002932, - 0.514402, 0.002742, 0.499302, 0.002566, 0.484114, 0.002399, 0.469308, 0.002251, - 0.455133, 0.002102, 0.440939, 0.001973, 0.426627, 0.001844, 0.412509, 0.001725, - 1.000000, 0.013628, 1.000000, 0.013628, 0.999999, 0.013629, 0.999995, 0.013633, - 0.999983, 0.013643, 0.999960, 0.013664, 0.999917, 0.013702, 0.999846, 0.013765, - 0.999736, 0.013862, 0.999573, 0.014001, 0.999340, 0.014193, 0.999004, 0.014446, - 0.998407, 0.014749, 0.995464, 0.014731, 0.993328, 0.014828, 0.991799, 0.015080, - 0.990397, 0.015432, 0.986835, 0.015501, 0.983938, 0.015731, 0.980154, 0.015875, - 0.975659, 0.015958, 0.970171, 0.015983, 0.964803, 0.016008, 0.958366, 0.015948, - 0.950613, 0.015800, 0.942874, 0.015584, 0.935005, 0.015429, 0.924991, 0.015074, - 0.914814, 0.014676, 0.904743, 0.014310, 0.893216, 0.013869, 0.880769, 0.013371, - 0.868136, 0.012861, 0.854690, 0.012340, 0.840593, 0.011809, 0.825808, 0.011253, - 0.810090, 0.010710, 0.795040, 0.010164, 0.779757, 0.009640, 0.764697, 0.009119, - 0.750913, 0.008595, 0.738175, 0.008116, 0.725242, 0.007645, 0.711864, 0.007189, - 0.698009, 0.006758, 0.683841, 0.006350, 0.669391, 0.005955, 0.654731, 0.005587, - 0.639805, 0.005236, 0.624789, 0.004908, 0.609325, 0.004594, 0.593975, 0.004303, - 0.578983, 0.004030, 0.564442, 0.003771, 0.549835, 0.003532, 0.535039, 0.003303, - 0.520403, 0.003089, 0.505687, 0.002893, 0.490939, 0.002708, 0.476233, 0.002534, - 0.461624, 0.002371, 0.447833, 0.002221, 0.433992, 0.002076, 0.420147, 0.001950, - 1.000000, 0.017341, 1.000000, 0.017342, 0.999999, 0.017343, 0.999995, 0.017347, - 0.999983, 0.017358, 0.999954, 0.017382, 0.999908, 0.017426, 0.999828, 0.017497, - 0.999705, 0.017606, 0.999524, 0.017763, 0.999263, 0.017978, 0.998878, 0.018258, - 0.998012, 0.018555, 0.994614, 0.018426, 0.993132, 0.018638, 0.991563, 0.018907, - 0.989298, 0.019158, 0.986036, 0.019252, 0.982558, 0.019406, 0.978531, 0.019486, - 0.974198, 0.019585, 0.968148, 0.019475, 0.962565, 0.019428, 0.956041, 0.019299, - 0.947749, 0.018989, 0.940180, 0.018704, 0.931650, 0.018346, 0.921798, 0.017878, - 0.911573, 0.017362, 0.901569, 0.016848, 0.890341, 0.016265, 0.877835, 0.015620, - 0.865472, 0.014952, 0.852905, 0.014327, 0.838906, 0.013664, 0.824888, 0.012990, - 0.809977, 0.012322, 0.794697, 0.011657, 0.780028, 0.011031, 0.765124, 0.010424, - 0.750411, 0.009822, 0.737264, 0.009244, 0.724799, 0.008687, 0.712253, 0.008165, - 0.699267, 0.007673, 0.685618, 0.007197, 0.671736, 0.006739, 0.657777, 0.006319, - 0.643497, 0.005924, 0.628890, 0.005539, 0.614299, 0.005193, 0.599197, 0.004860, - 0.584175, 0.004544, 0.569541, 0.004258, 0.555193, 0.003979, 0.540947, 0.003724, - 0.526593, 0.003486, 0.512335, 0.003261, 0.498017, 0.003051, 0.483609, 0.002855, - 0.469368, 0.002675, 0.455037, 0.002499, 0.441493, 0.002348, 0.428147, 0.002199, - 1.000000, 0.021942, 1.000000, 0.021942, 0.999998, 0.021943, 0.999993, 0.021948, - 0.999981, 0.021961, 0.999949, 0.021988, 0.999896, 0.022037, 0.999808, 0.022117, - 0.999670, 0.022238, 0.999466, 0.022412, 0.999174, 0.022649, 0.998725, 0.022953, - 0.996979, 0.023112, 0.994317, 0.023074, 0.992781, 0.023290, 0.991191, 0.023573, - 0.987787, 0.023615, 0.985092, 0.023799, 0.981121, 0.023855, 0.976924, 0.023871, - 0.972180, 0.023870, 0.965956, 0.023660, 0.959998, 0.023474, 0.953245, 0.023228, - 0.944445, 0.022697, 0.937087, 0.022353, 0.928341, 0.021814, 0.918400, 0.021152, - 0.907959, 0.020455, 0.898080, 0.019767, 0.887047, 0.018992, 0.875221, 0.018208, - 0.862690, 0.017358, 0.850735, 0.016572, 0.837545, 0.015752, 0.823639, 0.014948, - 0.809699, 0.014143, 0.794797, 0.013353, 0.780578, 0.012619, 0.766019, 0.011891, - 0.751447, 0.011184, 0.737275, 0.010514, 0.724545, 0.009873, 0.712644, 0.009266, - 0.700432, 0.008690, 0.687664, 0.008147, 0.674288, 0.007630, 0.660966, 0.007144, - 0.647264, 0.006685, 0.633431, 0.006266, 0.619133, 0.005856, 0.604935, 0.005482, - 0.590236, 0.005133, 0.575473, 0.004791, 0.561228, 0.004489, 0.547054, 0.004202, - 0.533175, 0.003929, 0.519163, 0.003674, 0.505328, 0.003441, 0.491446, 0.003220, - 0.477356, 0.003013, 0.463560, 0.002826, 0.449623, 0.002650, 0.436068, 0.002470, - 1.000000, 0.027613, 1.000000, 0.027614, 0.999998, 0.027615, 0.999993, 0.027620, - 0.999976, 0.027634, 0.999945, 0.027664, 0.999884, 0.027718, 0.999784, 0.027806, - 0.999630, 0.027939, 0.999401, 0.028130, 0.999066, 0.028386, 0.998524, 0.028703, - 0.995702, 0.028626, 0.993593, 0.028673, 0.992067, 0.028899, 0.990548, 0.029213, - 0.986775, 0.029130, 0.984054, 0.029310, 0.979481, 0.029188, 0.975297, 0.029160, - 0.969810, 0.028954, 0.963524, 0.028628, 0.957398, 0.028313, 0.950088, 0.027847, - 0.941538, 0.027180, 0.933332, 0.026539, 0.924392, 0.025778, 0.914581, 0.024916, - 0.904347, 0.024024, 0.894324, 0.023123, 0.883724, 0.022153, 0.872207, 0.021136, - 0.859927, 0.020105, 0.848373, 0.019126, 0.836023, 0.018131, 0.822890, 0.017172, - 0.809324, 0.016220, 0.795361, 0.015262, 0.781253, 0.014390, 0.767338, 0.013533, - 0.753156, 0.012724, 0.739122, 0.011945, 0.725358, 0.011205, 0.712949, 0.010487, - 0.701621, 0.009840, 0.689703, 0.009215, 0.677216, 0.008625, 0.664217, 0.008069, - 0.651370, 0.007559, 0.638000, 0.007057, 0.624530, 0.006613, 0.610601, 0.006184, - 0.596760, 0.005780, 0.582433, 0.005409, 0.568026, 0.005061, 0.554140, 0.004735, - 0.540178, 0.004429, 0.526513, 0.004144, 0.512954, 0.003882, 0.499403, 0.003629, - 0.486026, 0.003408, 0.472345, 0.003186, 0.458828, 0.002976, 0.445379, 0.002794, - 1.000000, 0.034572, 1.000000, 0.034572, 0.999999, 0.034573, 0.999991, 0.034579, - 0.999974, 0.034594, 0.999937, 0.034626, 0.999869, 0.034685, 0.999757, 0.034780, - 0.999582, 0.034923, 0.999322, 0.035126, 0.998939, 0.035397, 0.998219, 0.035702, - 0.994974, 0.035473, 0.993201, 0.035562, 0.991573, 0.035764, 0.989301, 0.035925, - 0.985712, 0.035802, 0.982411, 0.035835, 0.977827, 0.035617, 0.973278, 0.035440, - 0.967397, 0.035048, 0.960696, 0.034480, 0.954349, 0.033986, 0.946066, 0.033132, - 0.938012, 0.032359, 0.929413, 0.031441, 0.920355, 0.030410, 0.910586, 0.029278, - 0.900609, 0.028139, 0.890093, 0.026910, 0.880013, 0.025727, 0.869001, 0.024467, - 0.857510, 0.023225, 0.845820, 0.022012, 0.834383, 0.020827, 0.822158, 0.019663, - 0.809056, 0.018531, 0.795832, 0.017417, 0.782547, 0.016376, 0.768900, 0.015391, - 0.755526, 0.014449, 0.741681, 0.013537, 0.728178, 0.012696, 0.714642, 0.011881, - 0.702756, 0.011116, 0.691750, 0.010415, 0.680159, 0.009744, 0.668073, 0.009119, - 0.655405, 0.008514, 0.642921, 0.007976, 0.629993, 0.007451, 0.616828, 0.006970, - 0.603305, 0.006524, 0.589833, 0.006102, 0.575945, 0.005708, 0.561745, 0.005334, - 0.548277, 0.005000, 0.534467, 0.004676, 0.521032, 0.004381, 0.507877, 0.004103, - 0.494654, 0.003836, 0.481592, 0.003587, 0.468509, 0.003373, 0.455293, 0.003162, - 1.000000, 0.043070, 1.000000, 0.043070, 0.999998, 0.043071, 0.999991, 0.043077, - 0.999970, 0.043094, 0.999928, 0.043128, 0.999852, 0.043189, 0.999724, 0.043290, - 0.999527, 0.043440, 0.999230, 0.043651, 0.998783, 0.043925, 0.997507, 0.044110, - 0.994418, 0.043823, 0.992864, 0.043940, 0.991127, 0.044096, 0.987331, 0.043841, - 0.984819, 0.043899, 0.980384, 0.043591, 0.975846, 0.043254, 0.970748, 0.042829, - 0.964303, 0.042153, 0.957720, 0.041411, 0.950747, 0.040589, 0.942533, 0.039489, - 0.934045, 0.038354, 0.924942, 0.037057, 0.915811, 0.035699, 0.906120, 0.034240, - 0.896434, 0.032808, 0.886021, 0.031288, 0.876081, 0.029778, 0.865608, 0.028233, - 0.854924, 0.026749, 0.843607, 0.025260, 0.832456, 0.023821, 0.821342, 0.022468, - 0.809303, 0.021130, 0.796468, 0.019839, 0.784046, 0.018623, 0.771262, 0.017456, - 0.758118, 0.016381, 0.745075, 0.015329, 0.731926, 0.014365, 0.718630, 0.013436, - 0.705414, 0.012560, 0.693792, 0.011751, 0.683108, 0.011002, 0.671830, 0.010276, - 0.660150, 0.009620, 0.647907, 0.008980, 0.635734, 0.008408, 0.623208, 0.007862, - 0.610438, 0.007350, 0.597345, 0.006877, 0.584138, 0.006435, 0.570700, 0.006022, - 0.556966, 0.005632, 0.543607, 0.005283, 0.530213, 0.004940, 0.516912, 0.004623, - 0.503916, 0.004331, 0.491146, 0.004069, 0.478439, 0.003814, 0.465834, 0.003580, - 1.000000, 0.053404, 1.000000, 0.053404, 0.999998, 0.053406, 0.999989, 0.053412, - 0.999968, 0.053428, 0.999918, 0.053463, 0.999830, 0.053526, 0.999685, 0.053628, - 0.999461, 0.053780, 0.999119, 0.053990, 0.998582, 0.054252, 0.995919, 0.054032, - 0.993735, 0.053891, 0.992126, 0.053956, 0.990266, 0.054040, 0.986317, 0.053606, - 0.983213, 0.053442, 0.978303, 0.052862, 0.973665, 0.052336, 0.968091, 0.051617, - 0.961026, 0.050543, 0.954333, 0.049523, 0.946372, 0.048170, 0.938254, 0.046767, - 0.929516, 0.045234, 0.920106, 0.043508, 0.910899, 0.041740, 0.901532, 0.039939, - 0.891919, 0.038090, 0.882006, 0.036234, 0.871965, 0.034344, 0.862145, 0.032483, - 0.852058, 0.030668, 0.841610, 0.028910, 0.830806, 0.027208, 0.820476, 0.025609, - 0.809514, 0.024039, 0.797865, 0.022538, 0.785621, 0.021123, 0.773765, 0.019791, - 0.761629, 0.018523, 0.748891, 0.017336, 0.736437, 0.016230, 0.723707, 0.015178, - 0.710606, 0.014179, 0.698019, 0.013259, 0.686203, 0.012389, 0.675692, 0.011598, - 0.664826, 0.010833, 0.653490, 0.010135, 0.641774, 0.009478, 0.629794, 0.008861, - 0.617647, 0.008285, 0.605340, 0.007753, 0.592718, 0.007260, 0.579746, 0.006797, - 0.566763, 0.006361, 0.553515, 0.005952, 0.540118, 0.005569, 0.527325, 0.005231, - 0.514265, 0.004907, 0.501406, 0.004603, 0.488922, 0.004312, 0.476541, 0.004047, - 1.000000, 0.065918, 1.000000, 0.065919, 0.999998, 0.065920, 0.999988, 0.065926, - 0.999963, 0.065942, 0.999907, 0.065976, 0.999806, 0.066038, 0.999639, 0.066136, - 0.999378, 0.066281, 0.998985, 0.066478, 0.998285, 0.066691, 0.995071, 0.066199, - 0.993172, 0.066045, 0.991438, 0.066010, 0.988428, 0.065687, 0.985218, 0.065291, - 0.981128, 0.064711, 0.976015, 0.063849, 0.970970, 0.062993, 0.964582, 0.061793, - 0.957383, 0.060363, 0.949969, 0.058813, 0.941843, 0.057027, 0.933624, 0.055189, - 0.924543, 0.053122, 0.914919, 0.050890, 0.905773, 0.048642, 0.896434, 0.046336, - 0.887195, 0.044062, 0.877706, 0.041780, 0.867719, 0.039450, 0.858587, 0.037243, - 0.849317, 0.035096, 0.839585, 0.032985, 0.829856, 0.031003, 0.819589, 0.029095, - 0.809714, 0.027274, 0.799340, 0.025563, 0.788224, 0.023918, 0.776619, 0.022383, - 0.765210, 0.020930, 0.753716, 0.019579, 0.741564, 0.018300, 0.729413, 0.017126, - 0.717146, 0.015993, 0.704360, 0.014949, 0.692190, 0.013968, 0.680289, 0.013058, - 0.669611, 0.012220, 0.659113, 0.011417, 0.648148, 0.010673, 0.636905, 0.009990, - 0.625154, 0.009343, 0.613481, 0.008748, 0.601540, 0.008183, 0.589430, 0.007669, - 0.576828, 0.007172, 0.564194, 0.006727, 0.551501, 0.006309, 0.538635, 0.005922, - 0.525724, 0.005549, 0.513209, 0.005202, 0.500457, 0.004882, 0.487990, 0.004572, - 1.000000, 0.081013, 1.000000, 0.081013, 0.999997, 0.081015, 0.999985, 0.081020, - 0.999956, 0.081035, 0.999893, 0.081066, 0.999777, 0.081120, 0.999583, 0.081208, - 0.999281, 0.081334, 0.998813, 0.081497, 0.997597, 0.081522, 0.994379, 0.080850, - 0.992744, 0.080679, 0.990745, 0.080459, 0.986646, 0.079611, 0.983611, 0.079091, - 0.978869, 0.078075, 0.973475, 0.076822, 0.967845, 0.075493, 0.960778, 0.073706, - 0.953333, 0.071805, 0.945274, 0.069595, 0.936955, 0.067249, 0.928319, 0.064773, - 0.919075, 0.062095, 0.909114, 0.059182, 0.900137, 0.056392, 0.891069, 0.053539, - 0.882262, 0.050764, 0.873232, 0.047979, 0.864042, 0.045226, 0.855002, 0.042541, - 0.846569, 0.040013, 0.837714, 0.037527, 0.828918, 0.035203, 0.819783, 0.033001, - 0.810129, 0.030891, 0.800866, 0.028911, 0.790930, 0.027026, 0.780593, 0.025276, - 0.769511, 0.023618, 0.758558, 0.022065, 0.747632, 0.020629, 0.736146, 0.019287, - 0.724093, 0.018033, 0.712340, 0.016826, 0.700201, 0.015746, 0.687949, 0.014703, - 0.676163, 0.013751, 0.665001, 0.012866, 0.654720, 0.012037, 0.644213, 0.011260, - 0.633382, 0.010541, 0.622120, 0.009865, 0.610631, 0.009233, 0.599078, 0.008642, - 0.587519, 0.008118, 0.575505, 0.007612, 0.563148, 0.007139, 0.550828, 0.006684, - 0.538458, 0.006277, 0.525905, 0.005883, 0.513517, 0.005527, 0.501395, 0.005197, - 1.000000, 0.099151, 1.000000, 0.099150, 0.999996, 0.099152, 0.999984, 0.099156, - 0.999947, 0.099167, 0.999874, 0.099191, 0.999739, 0.099233, 0.999514, 0.099298, - 0.999159, 0.099388, 0.998586, 0.099484, 0.995731, 0.098842, 0.993384, 0.098276, - 0.991615, 0.097927, 0.989029, 0.097343, 0.985373, 0.096354, 0.981278, 0.095231, - 0.975777, 0.093623, 0.970526, 0.092022, 0.963755, 0.089891, 0.956676, 0.087606, - 0.948099, 0.084775, 0.939718, 0.081864, 0.931305, 0.078857, 0.922342, 0.075613, - 0.912842, 0.072147, 0.903304, 0.068619, 0.894110, 0.065059, 0.885512, 0.061602, - 0.877193, 0.058243, 0.868770, 0.054898, 0.860267, 0.051610, 0.851915, 0.048468, - 0.843912, 0.045445, 0.836040, 0.042561, 0.828245, 0.039875, 0.820159, 0.037320, - 0.811670, 0.034916, 0.802659, 0.032640, 0.793921, 0.030490, 0.784713, 0.028486, - 0.774946, 0.026619, 0.764480, 0.024859, 0.753793, 0.023211, 0.743506, 0.021704, - 0.732555, 0.020284, 0.720965, 0.018965, 0.709422, 0.017719, 0.697756, 0.016563, - 0.685565, 0.015483, 0.673987, 0.014489, 0.662440, 0.013561, 0.651675, 0.012696, - 0.641598, 0.011879, 0.631210, 0.011126, 0.620514, 0.010437, 0.609366, 0.009787, - 0.598137, 0.009173, 0.586966, 0.008598, 0.575549, 0.008068, 0.563797, 0.007573, - 0.551758, 0.007106, 0.539894, 0.006684, 0.527901, 0.006279, 0.515819, 0.005905, - 1.000000, 0.120864, 1.000000, 0.120864, 0.999996, 0.120864, 0.999980, 0.120867, - 0.999940, 0.120872, 0.999852, 0.120884, 0.999693, 0.120903, 0.999426, 0.120929, - 0.999002, 0.120955, 0.998235, 0.120918, 0.994608, 0.119764, 0.992997, 0.119265, - 0.990968, 0.118630, 0.987002, 0.117261, 0.983524, 0.116009, 0.978750, 0.114252, - 0.972652, 0.111930, 0.966613, 0.109555, 0.959275, 0.106612, 0.951272, 0.103375, - 0.942323, 0.099659, 0.933679, 0.095884, 0.924822, 0.091926, 0.915742, 0.087806, - 0.906348, 0.083489, 0.896883, 0.079085, 0.887740, 0.074675, 0.879860, 0.070577, - 0.871998, 0.066501, 0.864325, 0.062541, 0.856685, 0.058678, 0.849250, 0.055006, - 0.841719, 0.051473, 0.834755, 0.048140, 0.827853, 0.045017, 0.820888, 0.042097, - 0.813616, 0.039370, 0.805767, 0.036777, 0.797338, 0.034327, 0.789122, 0.032053, - 0.780601, 0.029948, 0.771424, 0.027981, 0.761502, 0.026105, 0.751166, 0.024394, - 0.741276, 0.022809, 0.730898, 0.021327, 0.719878, 0.019931, 0.708379, 0.018657, - 0.697165, 0.017445, 0.685554, 0.016314, 0.673631, 0.015276, 0.662385, 0.014300, - 0.651059, 0.013411, 0.640451, 0.012579, 0.630536, 0.011793, 0.620316, 0.011055, - 0.609722, 0.010367, 0.598804, 0.009730, 0.587871, 0.009128, 0.577121, 0.008589, - 0.566019, 0.008073, 0.554664, 0.007597, 0.543101, 0.007148, 0.531558, 0.006734, - 1.000000, 0.146767, 1.000000, 0.146767, 0.999997, 0.146767, 0.999977, 0.146765, - 0.999929, 0.146762, 0.999823, 0.146753, 0.999633, 0.146735, 0.999314, 0.146699, - 0.998796, 0.146620, 0.997124, 0.146107, 0.994062, 0.144857, 0.992154, 0.144011, - 0.989186, 0.142712, 0.985279, 0.140926, 0.980826, 0.138850, 0.975056, 0.136168, - 0.969005, 0.133217, 0.961554, 0.129590, 0.954206, 0.125886, 0.945046, 0.121335, - 0.935678, 0.116492, 0.926748, 0.111635, 0.917764, 0.106625, 0.908358, 0.101325, - 0.899219, 0.096025, 0.890089, 0.090653, 0.881488, 0.085390, 0.874031, 0.080418, - 0.866932, 0.075601, 0.859976, 0.070902, 0.853375, 0.066439, 0.846971, 0.062201, - 0.840483, 0.058129, 0.833969, 0.054276, 0.828060, 0.050704, 0.822128, 0.047368, - 0.815989, 0.044272, 0.809336, 0.041344, 0.802177, 0.038601, 0.794410, 0.036023, - 0.786573, 0.033638, 0.778619, 0.031432, 0.770000, 0.029362, 0.760698, 0.027410, - 0.750932, 0.025615, 0.740993, 0.023974, 0.731159, 0.022418, 0.720836, 0.020989, - 0.709913, 0.019641, 0.698415, 0.018382, 0.687450, 0.017222, 0.676154, 0.016151, - 0.664383, 0.015140, 0.653300, 0.014187, 0.642072, 0.013310, 0.631412, 0.012493, - 0.621622, 0.011741, 0.611681, 0.011036, 0.601420, 0.010377, 0.590830, 0.009756, - 0.580254, 0.009181, 0.569841, 0.008647, 0.559224, 0.008157, 0.548315, 0.007679, - 1.000000, 0.177563, 1.000000, 0.177563, 0.999994, 0.177562, 0.999972, 0.177555, - 0.999914, 0.177536, 0.999787, 0.177496, 0.999556, 0.177420, 0.999165, 0.177285, - 0.998500, 0.177037, 0.995388, 0.175634, 0.993102, 0.174375, 0.990992, 0.173121, - 0.986932, 0.170896, 0.982786, 0.168470, 0.977592, 0.165455, 0.971075, 0.161676, - 0.963967, 0.157458, 0.956397, 0.152836, 0.947489, 0.147467, 0.937564, 0.141450, - 0.928182, 0.135383, 0.919027, 0.129212, 0.909618, 0.122760, 0.900492, 0.116273, - 0.891671, 0.109800, 0.883146, 0.103362, 0.875151, 0.097080, 0.868338, 0.091173, - 0.862033, 0.085497, 0.856107, 0.080069, 0.850644, 0.074962, 0.845261, 0.070079, - 0.839885, 0.065432, 0.834609, 0.061097, 0.829083, 0.056974, 0.824040, 0.053174, - 0.818968, 0.049665, 0.813496, 0.046386, 0.807533, 0.043322, 0.800990, 0.040440, - 0.793891, 0.037758, 0.786281, 0.035262, 0.778773, 0.032958, 0.770737, 0.030808, - 0.762094, 0.028796, 0.752898, 0.026925, 0.743306, 0.025193, 0.733416, 0.023595, - 0.723742, 0.022115, 0.713542, 0.020744, 0.702755, 0.019434, 0.691484, 0.018205, - 0.680531, 0.017077, 0.669530, 0.016034, 0.658126, 0.015068, 0.646933, 0.014155, - 0.636107, 0.013318, 0.625271, 0.012528, 0.615225, 0.011794, 0.605678, 0.011118, - 0.595830, 0.010476, 0.585704, 0.009867, 0.575413, 0.009297, 0.565373, 0.008767, - 1.000000, 0.214058, 0.999999, 0.214058, 0.999994, 0.214055, 0.999966, 0.214039, - 0.999893, 0.213998, 0.999737, 0.213910, 0.999449, 0.213745, 0.998960, 0.213458, - 0.997900, 0.212855, 0.994278, 0.210779, 0.992254, 0.209260, 0.988810, 0.206908, - 0.984715, 0.204009, 0.979738, 0.200471, 0.972884, 0.195813, 0.965996, 0.190856, - 0.957974, 0.185077, 0.949155, 0.178680, 0.939288, 0.171513, 0.928996, 0.163838, - 0.919563, 0.156246, 0.910004, 0.148359, 0.900791, 0.140417, 0.892135, 0.132569, - 0.883803, 0.124741, 0.876034, 0.117091, 0.869219, 0.109835, 0.863062, 0.102859, - 0.857795, 0.096293, 0.853009, 0.090072, 0.848603, 0.084210, 0.844335, 0.078653, - 0.840208, 0.073440, 0.836035, 0.068533, 0.831720, 0.063927, 0.827135, 0.059591, - 0.822797, 0.055620, 0.818387, 0.051939, 0.813565, 0.048532, 0.808142, 0.045314, - 0.802212, 0.042335, 0.795730, 0.039555, 0.788741, 0.036988, 0.781093, 0.034569, - 0.773597, 0.032330, 0.765622, 0.030272, 0.757083, 0.028348, 0.747992, 0.026556, - 0.738591, 0.024884, 0.728719, 0.023334, 0.719146, 0.021908, 0.709165, 0.020571, - 0.698750, 0.019325, 0.687884, 0.018158, 0.676818, 0.017075, 0.666247, 0.016072, - 0.655284, 0.015126, 0.644010, 0.014256, 0.633353, 0.013433, 0.622674, 0.012653, - 0.612265, 0.011935, 0.602455, 0.011253, 0.593147, 0.010623, 0.583592, 0.010021, - 1.000000, 0.257170, 1.000000, 0.257170, 0.999992, 0.257164, 0.999958, 0.257135, - 0.999864, 0.257060, 0.999666, 0.256897, 0.999302, 0.256596, 0.998663, 0.256070, - 0.995607, 0.254123, 0.993094, 0.252081, 0.990700, 0.249867, 0.985940, 0.246118, - 0.981214, 0.242049, 0.974966, 0.236869, 0.967589, 0.230724, 0.959150, 0.223635, - 0.950257, 0.215960, 0.940165, 0.207296, 0.929396, 0.197901, 0.919288, 0.188437, - 0.909428, 0.178762, 0.900105, 0.169072, 0.891418, 0.159478, 0.883347, 0.150020, - 0.875992, 0.140813, 0.869466, 0.131960, 0.863699, 0.123501, 0.858553, 0.115436, - 0.854379, 0.107901, 0.850894, 0.100880, 0.847632, 0.094230, 0.844571, 0.087986, - 0.841630, 0.082153, 0.838542, 0.076641, 0.835412, 0.071532, 0.831899, 0.066688, - 0.828177, 0.062218, 0.824160, 0.058045, 0.820393, 0.054267, 0.816068, 0.050717, - 0.811201, 0.047404, 0.805785, 0.044317, 0.799878, 0.041456, 0.793469, 0.038815, - 0.786473, 0.036345, 0.778874, 0.034022, 0.771277, 0.031860, 0.763426, 0.029886, - 0.755044, 0.028036, 0.746161, 0.026298, 0.737124, 0.024730, 0.727610, 0.023251, - 0.717822, 0.021875, 0.708279, 0.020594, 0.698333, 0.019395, 0.688020, 0.018272, - 0.677321, 0.017204, 0.666504, 0.016212, 0.656184, 0.015292, 0.645560, 0.014433, - 0.634636, 0.013616, 0.624124, 0.012861, 0.613914, 0.012143, 0.603589, 0.011489, - 1.000000, 0.307946, 0.999999, 0.307945, 0.999988, 0.307934, 0.999944, 0.307886, - 0.999824, 0.307756, 0.999565, 0.307480, 0.999085, 0.306966, 0.998103, 0.306004, - 0.994249, 0.303028, 0.991807, 0.300435, 0.987773, 0.296554, 0.982673, 0.291600, - 0.976623, 0.285641, 0.968757, 0.278150, 0.959849, 0.269529, 0.950663, 0.260248, - 0.940129, 0.249704, 0.928950, 0.238291, 0.917996, 0.226501, 0.907813, 0.214669, - 0.898305, 0.202835, 0.889626, 0.191158, 0.881750, 0.179695, 0.874715, 0.168548, - 0.868746, 0.157920, 0.863703, 0.147807, 0.859315, 0.138149, 0.855538, 0.128993, - 0.852428, 0.120414, 0.850168, 0.112498, 0.848132, 0.105054, 0.846291, 0.098109, - 0.844431, 0.091594, 0.842493, 0.085506, 0.840368, 0.079820, 0.837980, 0.074510, - 0.835230, 0.069542, 0.832091, 0.064909, 0.828667, 0.060629, 0.824805, 0.056652, - 0.820988, 0.053023, 0.816635, 0.049636, 0.811725, 0.046466, 0.806316, 0.043508, - 0.800469, 0.040787, 0.794107, 0.038255, 0.787218, 0.035882, 0.779872, 0.033679, - 0.772097, 0.031638, 0.764484, 0.029738, 0.756428, 0.027958, 0.748022, 0.026315, - 0.739268, 0.024780, 0.730240, 0.023339, 0.720893, 0.022003, 0.711190, 0.020755, - 0.701791, 0.019584, 0.692184, 0.018489, 0.682258, 0.017454, 0.672060, 0.016487, - 0.661717, 0.015596, 0.651462, 0.014752, 0.641467, 0.013973, 0.631229, 0.013236, - 1.000000, 0.367573, 0.999999, 0.367571, 0.999984, 0.367553, 0.999925, 0.367473, - 0.999759, 0.367259, 0.999410, 0.366801, 0.998739, 0.365946, 0.995529, 0.363191, - 0.992875, 0.360171, 0.989135, 0.355981, 0.984166, 0.350401, 0.977871, 0.343348, - 0.969510, 0.334341, 0.959964, 0.323862, 0.950162, 0.312521, 0.938882, 0.299577, - 0.926992, 0.285573, 0.915589, 0.271212, 0.904791, 0.256611, 0.895177, 0.242224, - 0.886403, 0.227952, 0.878957, 0.214192, 0.872418, 0.200795, 0.867029, 0.188015, - 0.862835, 0.175975, 0.859411, 0.164526, 0.856655, 0.153693, 0.854519, 0.143520, - 0.852828, 0.133970, 0.851412, 0.124984, 0.850609, 0.116748, 0.849855, 0.109050, - 0.849017, 0.101839, 0.848079, 0.095136, 0.846911, 0.088877, 0.845445, 0.083038, - 0.843620, 0.077584, 0.841411, 0.072505, 0.838768, 0.067769, 0.835801, 0.063402, - 0.832341, 0.059310, 0.828424, 0.055512, 0.824312, 0.052024, 0.819918, 0.048786, - 0.815072, 0.045780, 0.809863, 0.043018, 0.804164, 0.040425, 0.798034, 0.038015, - 0.791436, 0.035744, 0.784498, 0.033647, 0.777125, 0.031667, 0.769365, 0.029812, - 0.761579, 0.028100, 0.753746, 0.026505, 0.745573, 0.025007, 0.737083, 0.023603, - 0.728545, 0.022330, 0.719691, 0.021124, 0.710569, 0.019998, 0.701216, 0.018957, - 0.692094, 0.017970, 0.682909, 0.017042, 0.673509, 0.016173, 0.663863, 0.015341, - 1.000000, 0.437395, 0.999998, 0.437394, 0.999980, 0.437363, 0.999891, 0.437232, - 0.999656, 0.436877, 0.999148, 0.436121, 0.997959, 0.434564, 0.993464, 0.430134, - 0.990606, 0.426077, 0.985027, 0.419397, 0.978491, 0.411180, 0.969643, 0.400480, - 0.959189, 0.387690, 0.948223, 0.373575, 0.935955, 0.357622, 0.923237, 0.340430, - 0.911074, 0.322735, 0.899724, 0.304790, 0.890189, 0.287392, 0.881796, 0.270248, - 0.874781, 0.253659, 0.869166, 0.237786, 0.864725, 0.222618, 0.861565, 0.208356, - 0.859284, 0.194867, 0.857677, 0.182120, 0.856714, 0.170180, 0.856155, 0.158969, - 0.855800, 0.148413, 0.855672, 0.138578, 0.855538, 0.129345, 0.855689, 0.120861, - 0.855767, 0.112969, 0.855618, 0.105593, 0.855250, 0.098745, 0.854583, 0.092373, - 0.853534, 0.086414, 0.852061, 0.080834, 0.850253, 0.075677, 0.848004, 0.070861, - 0.845333, 0.066378, 0.842376, 0.062263, 0.838956, 0.058411, 0.835121, 0.054833, - 0.830842, 0.051484, 0.826212, 0.048355, 0.821522, 0.045471, 0.816551, 0.042826, - 0.811211, 0.040361, 0.805479, 0.038039, 0.799409, 0.035874, 0.793060, 0.033873, - 0.786395, 0.031998, 0.779416, 0.030241, 0.772140, 0.028595, 0.764636, 0.027075, - 0.756836, 0.025635, 0.749315, 0.024303, 0.741561, 0.023050, 0.733589, 0.021880, - 0.725479, 0.020784, 0.717255, 0.019770, 0.708829, 0.018817, 0.700191, 0.017911, - 1.000000, 0.518937, 0.999998, 0.518933, 0.999967, 0.518883, 0.999832, 0.518660, - 0.999466, 0.518057, 0.998644, 0.516752, 0.994458, 0.512347, 0.991223, 0.507675, - 0.985515, 0.500188, 0.978308, 0.490408, 0.968359, 0.477357, 0.956820, 0.461752, - 0.943929, 0.443796, 0.930224, 0.423893, 0.916514, 0.402682, 0.903653, 0.380914, - 0.892315, 0.359212, 0.882942, 0.338102, 0.875438, 0.317730, 0.869642, 0.298186, - 0.865304, 0.279491, 0.862382, 0.261804, 0.860666, 0.245146, 0.859788, 0.229406, - 0.859608, 0.214605, 0.859912, 0.200691, 0.860530, 0.187623, 0.861368, 0.175390, - 0.862237, 0.163901, 0.863127, 0.153175, 0.863923, 0.143147, 0.864567, 0.133781, - 0.865013, 0.125042, 0.865390, 0.116952, 0.865591, 0.109476, 0.865517, 0.102542, - 0.865084, 0.096069, 0.864309, 0.090050, 0.863151, 0.084433, 0.861649, 0.079222, - 0.859742, 0.074348, 0.857446, 0.069796, 0.854757, 0.065536, 0.851783, 0.061608, - 0.848516, 0.057970, 0.844897, 0.054574, 0.840956, 0.051417, 0.836676, 0.048460, - 0.832075, 0.045693, 0.827191, 0.043118, 0.822295, 0.040772, 0.817294, 0.038603, - 0.812013, 0.036568, 0.806465, 0.034655, 0.800691, 0.032872, 0.794709, 0.031211, - 0.788493, 0.029650, 0.782049, 0.028178, 0.775403, 0.026797, 0.768570, 0.025500, - 0.761536, 0.024276, 0.754303, 0.023114, 0.746920, 0.022031, 0.739745, 0.021019, - 1.000000, 0.613914, 0.999996, 0.613907, 0.999942, 0.613814, 0.999704, 0.613407, - 0.999046, 0.612302, 0.995516, 0.608266, 0.991726, 0.602863, 0.985157, 0.593956, - 0.976420, 0.581748, 0.964404, 0.565183, 0.950601, 0.545273, 0.935158, 0.522129, - 0.919364, 0.496782, 0.904754, 0.470571, 0.891760, 0.444037, 0.881492, 0.418322, - 0.873656, 0.393522, 0.868053, 0.369795, 0.864336, 0.347171, 0.862259, 0.325737, - 0.861556, 0.305532, 0.861776, 0.286416, 0.862661, 0.268355, 0.864015, 0.251334, - 0.865711, 0.235352, 0.867519, 0.220302, 0.869351, 0.206161, 0.871144, 0.192908, - 0.872839, 0.180505, 0.874307, 0.168848, 0.875667, 0.158021, 0.876758, 0.147877, - 0.877640, 0.138441, 0.878237, 0.129627, 0.878563, 0.121415, 0.878572, 0.113741, - 0.878420, 0.106652, 0.878057, 0.100097, 0.877413, 0.094013, 0.876460, 0.088346, - 0.875233, 0.083092, 0.873700, 0.078198, 0.871873, 0.073640, 0.869780, 0.069410, - 0.867405, 0.065470, 0.864751, 0.061791, 0.861818, 0.058349, 0.858645, 0.055144, - 0.855307, 0.052189, 0.851736, 0.049433, 0.847927, 0.046850, 0.843888, 0.044426, - 0.839629, 0.042150, 0.835158, 0.040008, 0.830509, 0.038008, 0.825714, 0.036149, - 0.820729, 0.034396, 0.815751, 0.032778, 0.810752, 0.031275, 0.805587, 0.029854, - 0.800317, 0.028540, 0.794890, 0.027295, 0.789314, 0.026114, 0.783593, 0.024994, - 1.000000, 0.724258, 0.999992, 0.724243, 0.999870, 0.724044, 0.999336, 0.723170, - 0.996271, 0.719432, 0.991159, 0.712576, 0.982465, 0.700927, 0.970490, 0.684297, - 0.953973, 0.661244, 0.935546, 0.633804, 0.916596, 0.603071, 0.899353, 0.571050, - 0.885216, 0.539206, 0.875076, 0.508714, 0.868334, 0.479571, 0.864414, 0.451796, - 0.862678, 0.425328, 0.862835, 0.400352, 0.864067, 0.376532, 0.866086, 0.353910, - 0.868557, 0.332424, 0.871271, 0.312053, 0.874058, 0.292764, 0.876800, 0.274530, - 0.879390, 0.257297, 0.881900, 0.241140, 0.884187, 0.225934, 0.886262, 0.211669, - 0.888119, 0.198311, 0.889709, 0.185783, 0.891054, 0.174063, 0.892196, 0.163143, - 0.893101, 0.152952, 0.893803, 0.143475, 0.894277, 0.134647, 0.894532, 0.126434, - 0.894576, 0.118800, 0.894393, 0.111694, 0.893976, 0.105069, 0.893346, 0.098908, - 0.892502, 0.093172, 0.891441, 0.087828, 0.890276, 0.082903, 0.888972, 0.078351, - 0.887469, 0.074108, 0.885785, 0.070163, 0.883914, 0.066484, 0.881872, 0.063057, - 0.879651, 0.059853, 0.877267, 0.056862, 0.874717, 0.054060, 0.872012, 0.051438, - 0.869157, 0.048981, 0.866155, 0.046673, 0.863014, 0.044506, 0.859748, 0.042473, - 0.856416, 0.040596, 0.852958, 0.038827, 0.849382, 0.037162, 0.845694, 0.035596, - 0.841893, 0.034115, 0.837981, 0.032714, 0.833963, 0.031386, 0.829847, 0.030128, - 1.000000, 0.852140, 0.999969, 0.852095, 0.999483, 0.851408, 0.994545, 0.845790, - 0.986188, 0.835231, 0.969847, 0.814687, 0.945951, 0.783735, 0.919170, 0.746074, - 0.895488, 0.706938, 0.878232, 0.669534, 0.868252, 0.635168, 0.863873, 0.603069, - 0.863369, 0.572514, 0.865450, 0.543169, 0.868803, 0.514578, 0.872794, 0.486762, - 0.877020, 0.459811, 0.881054, 0.433654, 0.884974, 0.408574, 0.888587, 0.384525, - 0.891877, 0.361560, 0.894793, 0.339661, 0.897430, 0.318913, 0.899796, 0.299302, - 0.901943, 0.280843, 0.903858, 0.263481, 0.905574, 0.247197, 0.907069, 0.231915, - 0.908379, 0.217614, 0.909520, 0.204250, 0.910483, 0.191758, 0.911280, 0.180092, - 0.911936, 0.169222, 0.912454, 0.159098, 0.912835, 0.149668, 0.913078, 0.140884, - 0.913192, 0.132709, 0.913175, 0.125095, 0.913040, 0.118012, 0.912781, 0.111417, - 0.912410, 0.105281, 0.911924, 0.099569, 0.911331, 0.094253, 0.910637, 0.089308, - 0.909840, 0.084700, 0.908941, 0.080404, 0.907944, 0.076398, 0.906857, 0.072664, - 0.905680, 0.069178, 0.904416, 0.065922, 0.903067, 0.062878, 0.901637, 0.060031, - 0.900128, 0.057365, 0.898544, 0.054867, 0.896890, 0.052527, 0.895165, 0.050331, - 0.893371, 0.048267, 0.891572, 0.046360, 0.889763, 0.044600, 0.887894, 0.042945, - 0.885967, 0.041388, 0.883984, 0.039922, 0.881945, 0.038540, 0.879854, 0.037236, - 0.999804, 0.995833, 0.938155, 0.933611, 0.864755, 0.854311, 0.888594, 0.865264, - 0.905575, 0.863922, 0.915125, 0.850558, 0.920665, 0.829254, 0.924073, 0.802578, - 0.926304, 0.772211, 0.927829, 0.739366, 0.928924, 0.705033, 0.929730, 0.670019, - 0.930339, 0.634993, 0.930811, 0.600485, 0.931191, 0.566897, 0.931490, 0.534485, - 0.931737, 0.503429, 0.931939, 0.473811, 0.932108, 0.445668, 0.932250, 0.418993, - 0.932371, 0.393762, 0.932474, 0.369939, 0.932562, 0.347479, 0.932638, 0.326336, - 0.932703, 0.306462, 0.932760, 0.287805, 0.932809, 0.270313, 0.932851, 0.253933, - 0.932887, 0.238610, 0.932917, 0.224289, 0.932943, 0.210917, 0.932965, 0.198440, - 0.932982, 0.186807, 0.932995, 0.175966, 0.933005, 0.165869, 0.933011, 0.156468, - 0.933013, 0.147719, 0.933013, 0.139579, 0.933010, 0.132007, 0.933004, 0.124965, - 0.932994, 0.118416, 0.932982, 0.112326, 0.932968, 0.106663, 0.932950, 0.101397, - 0.932931, 0.096499, 0.932908, 0.091944, 0.932883, 0.087706, 0.932856, 0.083762, - 0.932827, 0.080092, 0.932796, 0.076675, 0.932762, 0.073494, 0.932727, 0.070530, - 0.932689, 0.067768, 0.932650, 0.065193, 0.932609, 0.062792, 0.932565, 0.060552, - 0.932521, 0.058461, 0.932474, 0.056508, 0.932427, 0.054684, 0.932377, 0.052979, - 0.932326, 0.051385, 0.932274, 0.049894, 0.932220, 0.048497, 0.932164, 0.047190, + 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000, 0.999994, 0.000000, 0.999989, + 0.000000, 0.999973, 0.000000, 0.999947, 0.000000, 0.999894, 0.000001, 0.999798, 0.000001, + 0.999617, 0.000003, 0.999234, 0.000008, 0.998258, 0.000015, 0.995040, 0.000027, 0.980816, + 0.000024, 0.967553, 0.000002, 0.966877, 0.000004, 0.965752, 0.000007, 0.963820, 0.000013, + 0.960306, 0.000020, 0.953619, 0.000028, 0.941103, 0.000028, 0.926619, 0.000016, 0.920983, + 0.000024, 0.912293, 0.000031, 0.899277, 0.000035, 0.880884, 0.000026, 0.870399, 0.000034, + 0.856138, 0.000039, 0.837436, 0.000037, 0.820973, 0.000039, 0.803583, 0.000043, 0.782168, + 0.000040, 0.764107, 0.000045, 0.743092, 0.000046, 0.721626, 0.000046, 0.700375, 0.000048, + 0.677334, 0.000046, 0.655702, 0.000048, 0.632059, 0.000046, 0.610125, 0.000048, 0.586530, + 0.000046, 0.564508, 0.000048, 0.541405, 0.000046, 0.519556, 0.000046, 0.497292, 0.000045, + 0.475898, 0.000045, 0.454722, 0.000043, 0.434042, 0.000042, 0.414126, 0.000041, 0.394387, + 0.000040, 0.375841, 0.000039, 0.357219, 0.000037, 0.340084, 0.000037, 0.322714, 0.000034, + 0.306974, 0.000034, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999996, 0.000000, 0.999991, + 0.000000, 0.999983, 0.000000, 0.999968, 0.000000, 0.999940, 0.000000, 0.999891, 0.000001, + 0.999797, 0.000001, 0.999617, 0.000003, 0.999227, 0.000008, 0.998239, 0.000016, 0.994937, + 0.000027, 0.980225, 0.000021, 0.967549, 0.000002, 0.966865, 0.000004, 0.965739, 0.000008, + 0.963794, 0.000013, 0.960244, 0.000021, 0.953495, 0.000028, 0.940876, 0.000027, 0.926569, + 0.000016, 0.920905, 0.000024, 0.912169, 0.000032, 0.899095, 0.000035, 0.882209, 0.000029, + 0.870272, 0.000034, 0.855977, 0.000039, 0.837431, 0.000037, 0.820826, 0.000040, 0.803408, + 0.000044, 0.782838, 0.000042, 0.763941, 0.000045, 0.742904, 0.000046, 0.721463, 0.000046, + 0.700197, 0.000048, 0.677501, 0.000047, 0.655527, 0.000048, 0.632400, 0.000048, 0.609964, + 0.000048, 0.586839, 0.000048, 0.564353, 0.000048, 0.541589, 0.000047, 0.519413, 0.000046, + 0.497337, 0.000045, 0.475797, 0.000045, 0.454659, 0.000044, 0.434065, 0.000042, 0.414018, + 0.000041, 0.394550, 0.000040, 0.375742, 0.000039, 0.357501, 0.000038, 0.339996, 0.000037, + 0.323069, 0.000035, 0.306897, 0.000034, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999995, + 0.000000, 0.999991, 0.000000, 0.999981, 0.000000, 0.999967, 0.000000, 0.999938, 0.000000, + 0.999886, 0.000001, 0.999792, 0.000002, 0.999608, 0.000004, 0.999209, 0.000008, 0.998179, + 0.000017, 0.994605, 0.000027, 0.979468, 0.000017, 0.967529, 0.000002, 0.966836, 0.000005, + 0.965690, 0.000008, 0.963706, 0.000014, 0.960063, 0.000022, 0.953113, 0.000029, 0.940192, + 0.000025, 0.927731, 0.000020, 0.920669, 0.000025, 0.911799, 0.000032, 0.898570, 0.000034, + 0.883283, 0.000032, 0.869890, 0.000036, 0.855483, 0.000040, 0.837987, 0.000039, 0.820546, + 0.000041, 0.802878, 0.000044, 0.783402, 0.000044, 0.763439, 0.000046, 0.742925, 0.000047, + 0.721633, 0.000048, 0.699850, 0.000048, 0.677830, 0.000049, 0.655126, 0.000049, 0.632697, + 0.000050, 0.609613, 0.000049, 0.587098, 0.000049, 0.564119, 0.000048, 0.541813, 0.000048, + 0.519342, 0.000047, 0.497514, 0.000047, 0.475879, 0.000046, 0.454789, 0.000045, 0.434217, + 0.000044, 0.414086, 0.000042, 0.394744, 0.000041, 0.375782, 0.000040, 0.357707, 0.000039, + 0.340038, 0.000037, 0.323284, 0.000036, 0.306954, 0.000034, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, + 0.000000, 0.999993, 0.000000, 0.999988, 0.000000, 0.999979, 0.000000, 0.999962, 0.000000, + 0.999933, 0.000000, 0.999881, 0.000001, 0.999783, 0.000002, 0.999594, 0.000004, 0.999178, + 0.000009, 0.998073, 0.000018, 0.993993, 0.000028, 0.979982, 0.000015, 0.968145, 0.000004, + 0.966786, 0.000005, 0.965611, 0.000009, 0.963557, 0.000016, 0.959752, 0.000024, 0.952461, + 0.000029, 0.940193, 0.000024, 0.929042, 0.000023, 0.920266, 0.000027, 0.911178, 0.000034, + 0.897873, 0.000033, 0.884053, 0.000035, 0.869455, 0.000038, 0.854655, 0.000040, 0.838347, + 0.000042, 0.820693, 0.000044, 0.802277, 0.000045, 0.783634, 0.000047, 0.763159, 0.000048, + 0.742914, 0.000049, 0.721662, 0.000050, 0.699668, 0.000050, 0.677839, 0.000051, 0.655091, + 0.000051, 0.632665, 0.000052, 0.609734, 0.000051, 0.587043, 0.000051, 0.564298, 0.000051, + 0.541769, 0.000050, 0.519529, 0.000049, 0.497574, 0.000048, 0.476028, 0.000047, 0.454961, + 0.000046, 0.434341, 0.000045, 0.414364, 0.000044, 0.394832, 0.000042, 0.376109, 0.000041, + 0.357790, 0.000040, 0.340379, 0.000038, 0.323385, 0.000037, 0.307295, 0.000036, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, + 0.000000, 0.999996, 0.000000, 0.999992, 0.000000, 0.999986, 0.000000, 0.999975, 0.000000, + 0.999959, 0.000000, 0.999927, 0.000000, 0.999871, 0.000001, 0.999771, 0.000002, 0.999572, + 0.000005, 0.999133, 0.000011, 0.997912, 0.000020, 0.993008, 0.000028, 0.980645, 0.000014, + 0.970057, 0.000006, 0.966717, 0.000007, 0.965497, 0.000011, 0.963340, 0.000018, 0.959294, + 0.000026, 0.951519, 0.000029, 0.940517, 0.000025, 0.930140, 0.000027, 0.919720, 0.000030, + 0.910294, 0.000035, 0.897701, 0.000035, 0.884522, 0.000039, 0.869489, 0.000041, 0.853983, + 0.000042, 0.838425, 0.000045, 0.820656, 0.000047, 0.801875, 0.000048, 0.783521, 0.000051, + 0.763131, 0.000051, 0.742610, 0.000052, 0.721480, 0.000053, 0.699696, 0.000054, 0.677592, + 0.000054, 0.655250, 0.000055, 0.632452, 0.000054, 0.609903, 0.000054, 0.586928, 0.000054, + 0.564464, 0.000054, 0.541801, 0.000052, 0.519681, 0.000052, 0.497685, 0.000051, 0.476220, + 0.000050, 0.455135, 0.000049, 0.434600, 0.000047, 0.414564, 0.000046, 0.395165, 0.000044, + 0.376333, 0.000043, 0.358197, 0.000042, 0.340640, 0.000040, 0.323816, 0.000039, 0.307581, + 0.000037, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999998, + 0.000000, 0.999997, 0.000000, 0.999994, 0.000000, 0.999990, 0.000000, 0.999984, 0.000000, + 0.999972, 0.000000, 0.999952, 0.000000, 0.999919, 0.000001, 0.999860, 0.000001, 0.999753, + 0.000003, 0.999546, 0.000006, 0.999074, 0.000013, 0.997671, 0.000023, 0.991504, 0.000026, + 0.981148, 0.000013, 0.971965, 0.000009, 0.966624, 0.000008, 0.965344, 0.000014, 0.963048, + 0.000021, 0.958673, 0.000029, 0.950262, 0.000028, 0.940836, 0.000027, 0.930996, 0.000031, + 0.919848, 0.000035, 0.909136, 0.000037, 0.897554, 0.000038, 0.884691, 0.000043, 0.869414, + 0.000045, 0.853462, 0.000045, 0.838187, 0.000050, 0.820381, 0.000050, 0.801844, 0.000052, + 0.783061, 0.000054, 0.763205, 0.000055, 0.742362, 0.000056, 0.721393, 0.000057, 0.699676, + 0.000058, 0.677395, 0.000058, 0.655208, 0.000059, 0.632451, 0.000058, 0.609839, 0.000058, + 0.587093, 0.000058, 0.564467, 0.000057, 0.542043, 0.000056, 0.519826, 0.000055, 0.497952, + 0.000054, 0.476477, 0.000053, 0.455412, 0.000051, 0.434926, 0.000050, 0.414900, 0.000049, + 0.395552, 0.000047, 0.376712, 0.000045, 0.358622, 0.000044, 0.341048, 0.000042, 0.324262, + 0.000041, 0.308013, 0.000039, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, + 0.000000, 0.999997, 0.000000, 0.999995, 0.000000, 0.999994, 0.000000, 0.999988, 0.000000, + 0.999979, 0.000000, 0.999965, 0.000000, 0.999945, 0.000000, 0.999908, 0.000001, 0.999846, + 0.000002, 0.999733, 0.000004, 0.999511, 0.000008, 0.998993, 0.000016, 0.997326, 0.000027, + 0.989706, 0.000021, 0.981713, 0.000013, 0.973636, 0.000011, 0.966509, 0.000010, 0.965149, + 0.000017, 0.962669, 0.000025, 0.957860, 0.000032, 0.949334, 0.000028, 0.941041, 0.000030, + 0.931575, 0.000036, 0.920102, 0.000040, 0.908002, 0.000038, 0.897269, 0.000043, 0.884559, + 0.000048, 0.869161, 0.000048, 0.853342, 0.000051, 0.837633, 0.000054, 0.820252, 0.000055, + 0.801872, 0.000058, 0.782418, 0.000059, 0.763100, 0.000061, 0.742183, 0.000061, 0.721098, + 0.000063, 0.699512, 0.000063, 0.677372, 0.000064, 0.655059, 0.000063, 0.632567, 0.000064, + 0.609784, 0.000063, 0.587237, 0.000063, 0.564525, 0.000062, 0.542181, 0.000061, 0.520017, + 0.000060, 0.498204, 0.000058, 0.476742, 0.000057, 0.455803, 0.000055, 0.435251, 0.000054, + 0.415374, 0.000052, 0.395921, 0.000050, 0.377253, 0.000049, 0.359021, 0.000047, 0.341637, + 0.000045, 0.324700, 0.000043, 0.308625, 0.000042, 1.000000, 0.000000, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, + 0.000000, 0.999998, 0.000000, 0.999996, 0.000000, 0.999993, 0.000000, 0.999989, 0.000000, + 0.999983, 0.000000, 0.999974, 0.000000, 0.999959, 0.000000, 0.999936, 0.000000, 0.999896, + 0.000001, 0.999830, 0.000002, 0.999709, 0.000005, 0.999469, 0.000010, 0.998886, 0.000019, + 0.996819, 0.000030, 0.988837, 0.000019, 0.982178, 0.000013, 0.975017, 0.000013, 0.967101, + 0.000014, 0.964905, 0.000021, 0.962180, 0.000030, 0.956821, 0.000034, 0.948829, 0.000031, + 0.941092, 0.000035, 0.931883, 0.000041, 0.920211, 0.000044, 0.907307, 0.000043, 0.896840, + 0.000049, 0.884119, 0.000053, 0.869148, 0.000054, 0.853377, 0.000058, 0.836753, 0.000059, + 0.820063, 0.000062, 0.801694, 0.000065, 0.782116, 0.000065, 0.762673, 0.000067, 0.742133, + 0.000068, 0.720779, 0.000069, 0.699386, 0.000070, 0.677320, 0.000070, 0.654888, 0.000070, + 0.632499, 0.000069, 0.609825, 0.000069, 0.587287, 0.000068, 0.564743, 0.000067, 0.542409, + 0.000066, 0.520282, 0.000065, 0.498506, 0.000063, 0.477102, 0.000062, 0.456167, 0.000060, + 0.435728, 0.000058, 0.415809, 0.000056, 0.396517, 0.000054, 0.377737, 0.000053, 0.359698, + 0.000051, 0.342164, 0.000049, 0.325417, 0.000047, 0.309186, 0.000045, 1.000000, 0.000000, + 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 0.999999, 0.000000, 0.999997, 0.000000, 0.999994, 0.000000, 0.999993, 0.000000, + 0.999987, 0.000000, 0.999981, 0.000000, 0.999969, 0.000000, 0.999953, 0.000000, 0.999925, + 0.000001, 0.999881, 0.000001, 0.999810, 0.000003, 0.999680, 0.000007, 0.999418, 0.000013, + 0.998748, 0.000023, 0.996066, 0.000033, 0.988379, 0.000018, 0.982567, 0.000014, 0.976097, + 0.000015, 0.968475, 0.000018, 0.964606, 0.000025, 0.961564, 0.000035, 0.955517, 0.000036, + 0.948381, 0.000034, 0.941095, 0.000041, 0.931923, 0.000048, 0.919960, 0.000048, 0.907419, + 0.000050, 0.896180, 0.000056, 0.883370, 0.000059, 0.869046, 0.000062, 0.853278, 0.000066, + 0.836091, 0.000066, 0.819644, 0.000070, 0.801246, 0.000071, 0.782031, 0.000074, 0.762066, + 0.000075, 0.741964, 0.000077, 0.720554, 0.000077, 0.699098, 0.000078, 0.677189, 0.000077, + 0.654840, 0.000078, 0.632496, 0.000077, 0.609908, 0.000076, 0.587312, 0.000075, 0.564938, + 0.000074, 0.542577, 0.000073, 0.520620, 0.000071, 0.498819, 0.000069, 0.477555, 0.000068, + 0.456568, 0.000065, 0.436278, 0.000064, 0.416370, 0.000061, 0.397144, 0.000059, 0.378412, + 0.000057, 0.360376, 0.000055, 0.342906, 0.000053, 0.326136, 0.000051, 0.309970, 0.000048, + 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999994, 0.000000, + 0.999991, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000, 0.999964, 0.000000, 0.999945, + 0.000000, 0.999912, 0.000001, 0.999866, 0.000002, 0.999786, 0.000004, 0.999647, 0.000009, + 0.999356, 0.000016, 0.998563, 0.000028, 0.994928, 0.000034, 0.987999, 0.000018, 0.982893, + 0.000016, 0.977044, 0.000018, 0.969972, 0.000023, 0.964237, 0.000031, 0.960791, 0.000041, + 0.954292, 0.000037, 0.948052, 0.000040, 0.940938, 0.000048, 0.931689, 0.000055, 0.919870, + 0.000054, 0.907665, 0.000059, 0.895281, 0.000064, 0.882621, 0.000066, 0.868730, 0.000071, + 0.853008, 0.000074, 0.835944, 0.000076, 0.818949, 0.000080, 0.800951, 0.000081, 0.781847, + 0.000084, 0.761649, 0.000085, 0.741520, 0.000086, 0.720495, 0.000087, 0.698742, 0.000087, + 0.677096, 0.000087, 0.654782, 0.000086, 0.632335, 0.000086, 0.610031, 0.000085, 0.587457, + 0.000084, 0.565130, 0.000082, 0.542877, 0.000080, 0.520900, 0.000079, 0.499291, 0.000077, + 0.477971, 0.000074, 0.457221, 0.000072, 0.436803, 0.000070, 0.417083, 0.000068, 0.397749, + 0.000065, 0.379177, 0.000063, 0.361061, 0.000060, 0.343713, 0.000058, 0.326894, 0.000055, + 0.310816, 0.000053, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999996, 0.000000, + 0.999992, 0.000000, 0.999989, 0.000000, 0.999980, 0.000000, 0.999971, 0.000000, 0.999955, + 0.000000, 0.999933, 0.000001, 0.999901, 0.000001, 0.999847, 0.000003, 0.999761, 0.000006, + 0.999607, 0.000011, 0.999282, 0.000020, 0.998310, 0.000034, 0.993288, 0.000029, 0.987855, + 0.000019, 0.983167, 0.000018, 0.977908, 0.000022, 0.971194, 0.000029, 0.963867, 0.000039, + 0.959820, 0.000046, 0.953497, 0.000042, 0.947621, 0.000048, 0.940611, 0.000057, 0.931174, + 0.000062, 0.919919, 0.000063, 0.907856, 0.000069, 0.894509, 0.000074, 0.881954, 0.000076, + 0.868309, 0.000082, 0.852511, 0.000084, 0.835821, 0.000088, 0.817981, 0.000090, 0.800504, + 0.000093, 0.781410, 0.000095, 0.761427, 0.000096, 0.740940, 0.000097, 0.720233, 0.000098, + 0.698592, 0.000098, 0.676763, 0.000098, 0.654808, 0.000097, 0.632326, 0.000096, 0.610049, + 0.000095, 0.587630, 0.000093, 0.565261, 0.000092, 0.543244, 0.000090, 0.521273, 0.000087, + 0.499818, 0.000085, 0.478536, 0.000082, 0.457826, 0.000080, 0.437549, 0.000077, 0.417760, + 0.000074, 0.398630, 0.000072, 0.379954, 0.000069, 0.362025, 0.000066, 0.344581, 0.000063, + 0.327909, 0.000061, 0.311736, 0.000058, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999997, 0.000000, + 0.999995, 0.000000, 0.999992, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000, 0.999966, + 0.000000, 0.999948, 0.000000, 0.999923, 0.000001, 0.999884, 0.000002, 0.999826, 0.000004, + 0.999732, 0.000008, 0.999561, 0.000014, 0.999191, 0.000026, 0.997955, 0.000041, 0.992228, + 0.000028, 0.987638, 0.000021, 0.983395, 0.000022, 0.978614, 0.000027, 0.972389, 0.000037, + 0.964392, 0.000047, 0.958610, 0.000051, 0.952806, 0.000049, 0.947120, 0.000057, 0.940104, + 0.000067, 0.930398, 0.000069, 0.919866, 0.000074, 0.907853, 0.000081, 0.894078, 0.000083, + 0.881177, 0.000089, 0.867575, 0.000094, 0.852107, 0.000097, 0.835502, 0.000101, 0.817560, + 0.000103, 0.799840, 0.000107, 0.780998, 0.000108, 0.761132, 0.000110, 0.740429, 0.000110, + 0.719836, 0.000111, 0.698467, 0.000111, 0.676446, 0.000110, 0.654635, 0.000110, 0.632411, + 0.000109, 0.609986, 0.000107, 0.587872, 0.000105, 0.565528, 0.000103, 0.543563, 0.000101, + 0.521760, 0.000098, 0.500188, 0.000095, 0.479204, 0.000092, 0.458413, 0.000089, 0.438314, + 0.000086, 0.418573, 0.000082, 0.399470, 0.000079, 0.380892, 0.000076, 0.362953, 0.000073, + 0.345601, 0.000070, 0.328895, 0.000066, 0.312808, 0.000063, 1.000000, 0.000000, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, + 0.999997, 0.000000, 0.999995, 0.000000, 0.999989, 0.000000, 0.999983, 0.000000, 0.999974, + 0.000000, 0.999959, 0.000000, 0.999939, 0.000001, 0.999911, 0.000001, 0.999868, 0.000003, + 0.999804, 0.000005, 0.999700, 0.000010, 0.999510, 0.000019, 0.999078, 0.000032, 0.997428, + 0.000047, 0.991620, 0.000029, 0.987479, 0.000023, 0.983582, 0.000026, 0.979186, 0.000034, + 0.973250, 0.000045, 0.965221, 0.000057, 0.957262, 0.000054, 0.952211, 0.000059, 0.946631, + 0.000069, 0.939391, 0.000079, 0.929795, 0.000079, 0.919650, 0.000088, 0.907737, 0.000095, + 0.893899, 0.000097, 0.880239, 0.000105, 0.866562, 0.000108, 0.851640, 0.000113, 0.835021, + 0.000117, 0.817311, 0.000120, 0.798845, 0.000122, 0.780479, 0.000125, 0.760694, 0.000125, + 0.740142, 0.000127, 0.719248, 0.000126, 0.698209, 0.000127, 0.676398, 0.000126, 0.654378, + 0.000124, 0.632484, 0.000123, 0.610113, 0.000121, 0.587931, 0.000118, 0.565872, 0.000116, + 0.543814, 0.000113, 0.522265, 0.000110, 0.500835, 0.000106, 0.479818, 0.000103, 0.459258, + 0.000099, 0.439061, 0.000095, 0.419552, 0.000092, 0.400399, 0.000088, 0.381976, 0.000084, + 0.364009, 0.000081, 0.346761, 0.000077, 0.330049, 0.000074, 0.314018, 0.000070, 1.000000, + 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, + 0.999998, 0.000000, 0.999997, 0.000000, 0.999992, 0.000000, 0.999989, 0.000000, 0.999980, + 0.000000, 0.999969, 0.000000, 0.999953, 0.000001, 0.999929, 0.000001, 0.999898, 0.000002, + 0.999849, 0.000004, 0.999778, 0.000007, 0.999661, 0.000013, 0.999451, 0.000024, 0.998936, + 0.000040, 0.996620, 0.000052, 0.991094, 0.000030, 0.987487, 0.000028, 0.983731, 0.000032, + 0.979647, 0.000042, 0.973837, 0.000056, 0.965840, 0.000068, 0.956309, 0.000062, 0.951523, + 0.000070, 0.946003, 0.000084, 0.938454, 0.000091, 0.929279, 0.000094, 0.919239, 0.000104, + 0.907293, 0.000110, 0.893936, 0.000115, 0.879674, 0.000122, 0.865668, 0.000126, 0.850998, + 0.000132, 0.834498, 0.000135, 0.816903, 0.000139, 0.798235, 0.000141, 0.779724, 0.000144, + 0.760251, 0.000145, 0.739808, 0.000145, 0.718762, 0.000145, 0.697815, 0.000144, 0.676310, + 0.000144, 0.654278, 0.000142, 0.632347, 0.000139, 0.610296, 0.000137, 0.588039, 0.000134, + 0.566218, 0.000131, 0.544346, 0.000127, 0.522701, 0.000123, 0.501542, 0.000119, 0.480508, + 0.000115, 0.460092, 0.000111, 0.440021, 0.000107, 0.420446, 0.000102, 0.401512, 0.000098, + 0.382990, 0.000094, 0.365232, 0.000090, 0.347865, 0.000085, 0.331342, 0.000082, 0.315202, + 0.000077, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, + 0.999999, 0.000000, 0.999998, 0.000000, 0.999995, 0.000000, 0.999992, 0.000000, 0.999986, + 0.000000, 0.999976, 0.000001, 0.999964, 0.000001, 0.999945, 0.000001, 0.999919, 0.000002, + 0.999882, 0.000003, 0.999829, 0.000005, 0.999749, 0.000010, 0.999620, 0.000018, 0.999382, + 0.000031, 0.998751, 0.000050, 0.995344, 0.000051, 0.990768, 0.000035, 0.987464, 0.000034, + 0.983846, 0.000040, 0.980007, 0.000053, 0.974494, 0.000070, 0.966220, 0.000078, 0.956273, + 0.000075, 0.950952, 0.000086, 0.945215, 0.000100, 0.937287, 0.000104, 0.928649, 0.000112, + 0.918791, 0.000124, 0.906685, 0.000127, 0.893706, 0.000136, 0.879248, 0.000142, 0.864685, + 0.000148, 0.850032, 0.000154, 0.833853, 0.000157, 0.816353, 0.000161, 0.797834, 0.000164, + 0.778831, 0.000165, 0.759756, 0.000167, 0.739419, 0.000167, 0.718491, 0.000167, 0.697392, + 0.000166, 0.676102, 0.000164, 0.654243, 0.000162, 0.632176, 0.000159, 0.610407, 0.000155, + 0.588394, 0.000152, 0.566450, 0.000148, 0.544900, 0.000144, 0.523276, 0.000139, 0.502179, + 0.000134, 0.481359, 0.000129, 0.460920, 0.000125, 0.441084, 0.000120, 0.421517, 0.000115, + 0.402721, 0.000110, 0.384222, 0.000105, 0.366534, 0.000100, 0.349205, 0.000095, 0.332702, + 0.000091, 0.316599, 0.000086, 1.000000, 0.000001, 1.000000, 0.000001, 1.000000, 0.000001, + 0.999999, 0.000001, 0.999999, 0.000001, 0.999998, 0.000001, 0.999995, 0.000001, 0.999990, + 0.000001, 0.999984, 0.000001, 0.999973, 0.000001, 0.999959, 0.000001, 0.999936, 0.000002, + 0.999907, 0.000003, 0.999866, 0.000004, 0.999806, 0.000008, 0.999716, 0.000013, 0.999576, + 0.000023, 0.999300, 0.000039, 0.998498, 0.000061, 0.994132, 0.000049, 0.990310, 0.000038, + 0.987409, 0.000042, 0.983981, 0.000050, 0.980268, 0.000067, 0.974875, 0.000085, 0.966063, + 0.000086, 0.956779, 0.000090, 0.950259, 0.000106, 0.944239, 0.000119, 0.936341, 0.000122, + 0.928047, 0.000135, 0.918065, 0.000146, 0.906267, 0.000151, 0.893419, 0.000162, 0.878758, + 0.000166, 0.863699, 0.000174, 0.848876, 0.000178, 0.833032, 0.000184, 0.815557, 0.000186, + 0.797323, 0.000191, 0.778124, 0.000192, 0.758929, 0.000193, 0.738979, 0.000193, 0.718213, + 0.000192, 0.696947, 0.000190, 0.675807, 0.000188, 0.654147, 0.000184, 0.632290, 0.000181, + 0.610499, 0.000177, 0.588747, 0.000173, 0.566783, 0.000167, 0.545359, 0.000163, 0.523984, + 0.000157, 0.502917, 0.000152, 0.482294, 0.000146, 0.461945, 0.000140, 0.442133, 0.000134, + 0.422705, 0.000128, 0.403916, 0.000123, 0.385540, 0.000117, 0.367909, 0.000112, 0.350651, + 0.000106, 0.334208, 0.000101, 0.318123, 0.000096, 1.000000, 0.000001, 1.000000, 0.000001, + 1.000000, 0.000001, 1.000000, 0.000001, 0.999999, 0.000001, 0.999997, 0.000001, 0.999995, + 0.000001, 0.999989, 0.000001, 0.999981, 0.000001, 0.999969, 0.000002, 0.999952, 0.000002, + 0.999928, 0.000003, 0.999895, 0.000004, 0.999848, 0.000007, 0.999781, 0.000011, 0.999682, + 0.000018, 0.999523, 0.000031, 0.999205, 0.000050, 0.998131, 0.000073, 0.993334, 0.000051, + 0.990160, 0.000047, 0.987321, 0.000052, 0.984099, 0.000064, 0.980432, 0.000084, 0.974976, + 0.000103, 0.966429, 0.000100, 0.957633, 0.000111, 0.949422, 0.000129, 0.943045, 0.000140, + 0.935448, 0.000146, 0.927225, 0.000162, 0.917033, 0.000169, 0.905762, 0.000180, 0.892879, + 0.000190, 0.878435, 0.000196, 0.863114, 0.000205, 0.847760, 0.000209, 0.832084, 0.000215, + 0.814915, 0.000218, 0.796711, 0.000220, 0.777603, 0.000223, 0.757991, 0.000222, 0.738371, + 0.000223, 0.717872, 0.000221, 0.696619, 0.000218, 0.675379, 0.000216, 0.654110, 0.000212, + 0.632410, 0.000207, 0.610460, 0.000202, 0.589030, 0.000197, 0.567267, 0.000190, 0.545886, + 0.000185, 0.524714, 0.000177, 0.503789, 0.000171, 0.483204, 0.000165, 0.462976, 0.000157, + 0.443294, 0.000151, 0.423988, 0.000144, 0.405325, 0.000138, 0.386981, 0.000131, 0.369436, + 0.000125, 0.352190, 0.000118, 0.335804, 0.000113, 0.319749, 0.000107, 1.000000, 0.000002, + 1.000000, 0.000002, 1.000000, 0.000002, 0.999999, 0.000002, 0.999999, 0.000002, 0.999997, + 0.000002, 0.999993, 0.000002, 0.999987, 0.000002, 0.999979, 0.000003, 0.999965, 0.000003, + 0.999947, 0.000003, 0.999918, 0.000005, 0.999881, 0.000006, 0.999828, 0.000010, 0.999753, + 0.000015, 0.999642, 0.000025, 0.999464, 0.000040, 0.999089, 0.000064, 0.997567, 0.000086, + 0.992903, 0.000059, 0.990011, 0.000058, 0.987192, 0.000065, 0.984180, 0.000082, 0.980491, + 0.000106, 0.974779, 0.000122, 0.966750, 0.000119, 0.958248, 0.000136, 0.948884, 0.000155, + 0.941673, 0.000162, 0.934521, 0.000177, 0.926205, 0.000193, 0.916089, 0.000200, 0.904963, + 0.000214, 0.892089, 0.000222, 0.878028, 0.000233, 0.862490, 0.000239, 0.846587, 0.000247, + 0.830988, 0.000251, 0.814165, 0.000256, 0.796135, 0.000258, 0.777052, 0.000259, 0.757201, + 0.000258, 0.737655, 0.000257, 0.717477, 0.000255, 0.696433, 0.000252, 0.675084, 0.000247, + 0.653907, 0.000242, 0.632561, 0.000237, 0.610658, 0.000229, 0.589322, 0.000224, 0.567857, + 0.000216, 0.546520, 0.000209, 0.525433, 0.000202, 0.504679, 0.000193, 0.484203, 0.000186, + 0.464203, 0.000178, 0.444549, 0.000170, 0.425346, 0.000162, 0.406706, 0.000154, 0.388576, + 0.000147, 0.370940, 0.000139, 0.353996, 0.000133, 0.337391, 0.000126, 0.321648, 0.000120, + 1.000000, 0.000004, 1.000000, 0.000004, 1.000000, 0.000004, 0.999999, 0.000004, 0.999998, + 0.000004, 0.999996, 0.000004, 0.999992, 0.000004, 0.999986, 0.000004, 0.999976, 0.000004, + 0.999961, 0.000005, 0.999938, 0.000006, 0.999908, 0.000007, 0.999865, 0.000010, 0.999807, + 0.000014, 0.999723, 0.000022, 0.999602, 0.000034, 0.999398, 0.000053, 0.998946, 0.000081, + 0.996647, 0.000094, 0.992298, 0.000067, 0.989802, 0.000072, 0.987019, 0.000082, 0.984219, + 0.000105, 0.980425, 0.000131, 0.974241, 0.000140, 0.967006, 0.000146, 0.958930, 0.000167, + 0.949157, 0.000188, 0.940620, 0.000195, 0.933509, 0.000214, 0.925088, 0.000230, 0.915178, + 0.000240, 0.904093, 0.000255, 0.891337, 0.000264, 0.877326, 0.000275, 0.861794, 0.000281, + 0.845758, 0.000290, 0.829792, 0.000294, 0.813037, 0.000297, 0.795285, 0.000300, 0.776323, + 0.000300, 0.756673, 0.000300, 0.736856, 0.000298, 0.716883, 0.000294, 0.696089, 0.000289, + 0.675050, 0.000285, 0.653509, 0.000277, 0.632580, 0.000272, 0.611040, 0.000263, 0.589567, + 0.000255, 0.568322, 0.000246, 0.547235, 0.000237, 0.526160, 0.000228, 0.505716, 0.000219, + 0.485274, 0.000210, 0.465411, 0.000201, 0.445854, 0.000191, 0.426911, 0.000183, 0.408222, + 0.000174, 0.390307, 0.000165, 0.372624, 0.000157, 0.355804, 0.000149, 0.339240, 0.000141, + 0.323534, 0.000134, 1.000000, 0.000006, 1.000000, 0.000006, 1.000000, 0.000006, 0.999999, + 0.000006, 0.999998, 0.000006, 0.999996, 0.000006, 0.999991, 0.000007, 0.999984, 0.000007, + 0.999973, 0.000007, 0.999955, 0.000008, 0.999931, 0.000009, 0.999896, 0.000011, 0.999847, + 0.000015, 0.999784, 0.000021, 0.999692, 0.000030, 0.999554, 0.000045, 0.999326, 0.000069, + 0.998757, 0.000102, 0.995367, 0.000096, 0.992090, 0.000083, 0.989517, 0.000089, 0.987008, + 0.000106, 0.984210, 0.000133, 0.980210, 0.000162, 0.973676, 0.000162, 0.967052, 0.000179, + 0.959385, 0.000207, 0.949461, 0.000225, 0.939578, 0.000236, 0.932416, 0.000259, 0.923759, + 0.000271, 0.914223, 0.000289, 0.902942, 0.000301, 0.890419, 0.000314, 0.876639, 0.000324, + 0.861316, 0.000332, 0.844960, 0.000338, 0.828427, 0.000346, 0.811871, 0.000348, 0.794397, + 0.000350, 0.775726, 0.000350, 0.756170, 0.000347, 0.736091, 0.000344, 0.716213, 0.000341, + 0.695736, 0.000332, 0.674961, 0.000328, 0.653518, 0.000319, 0.632574, 0.000310, 0.611340, + 0.000301, 0.590017, 0.000291, 0.568752, 0.000280, 0.548061, 0.000270, 0.527110, 0.000259, + 0.506682, 0.000248, 0.486524, 0.000237, 0.466812, 0.000227, 0.447320, 0.000216, 0.428473, + 0.000206, 0.409921, 0.000196, 0.392028, 0.000185, 0.374606, 0.000176, 0.357601, 0.000167, + 0.341348, 0.000158, 0.325420, 0.000149, 1.000000, 0.000010, 1.000000, 0.000010, 1.000000, + 0.000010, 0.999999, 0.000010, 0.999998, 0.000010, 0.999995, 0.000011, 0.999991, 0.000011, + 0.999982, 0.000011, 0.999968, 0.000012, 0.999950, 0.000013, 0.999922, 0.000015, 0.999884, + 0.000018, 0.999830, 0.000022, 0.999758, 0.000030, 0.999654, 0.000042, 0.999503, 0.000061, + 0.999237, 0.000090, 0.998491, 0.000127, 0.994594, 0.000108, 0.991780, 0.000103, 0.989265, + 0.000112, 0.986998, 0.000136, 0.984137, 0.000169, 0.979798, 0.000197, 0.973370, 0.000197, + 0.967239, 0.000223, 0.959543, 0.000254, 0.949466, 0.000266, 0.939074, 0.000288, 0.931118, + 0.000311, 0.922525, 0.000326, 0.912983, 0.000346, 0.901617, 0.000356, 0.889487, 0.000374, + 0.875787, 0.000383, 0.860654, 0.000394, 0.844417, 0.000400, 0.827410, 0.000405, 0.810545, + 0.000407, 0.793312, 0.000407, 0.774847, 0.000407, 0.755621, 0.000405, 0.735511, 0.000397, + 0.715435, 0.000394, 0.695403, 0.000385, 0.674681, 0.000376, 0.653590, 0.000366, 0.632471, + 0.000355, 0.611510, 0.000344, 0.590640, 0.000332, 0.569386, 0.000319, 0.548785, 0.000307, + 0.528146, 0.000294, 0.507872, 0.000282, 0.487805, 0.000269, 0.468196, 0.000256, 0.448922, + 0.000244, 0.430093, 0.000232, 0.411845, 0.000220, 0.393808, 0.000209, 0.376615, 0.000198, + 0.359655, 0.000187, 0.343452, 0.000177, 0.327650, 0.000168, 1.000000, 0.000017, 1.000000, + 0.000017, 1.000000, 0.000017, 0.999999, 0.000017, 0.999998, 0.000017, 0.999995, 0.000017, + 0.999990, 0.000018, 0.999979, 0.000018, 0.999966, 0.000019, 0.999944, 0.000021, 0.999912, + 0.000023, 0.999869, 0.000027, 0.999811, 0.000033, 0.999730, 0.000043, 0.999617, 0.000059, + 0.999445, 0.000083, 0.999138, 0.000118, 0.998095, 0.000157, 0.993919, 0.000125, 0.991333, + 0.000126, 0.989226, 0.000145, 0.986954, 0.000176, 0.983982, 0.000214, 0.979128, 0.000235, + 0.973327, 0.000244, 0.967416, 0.000277, 0.959729, 0.000309, 0.949758, 0.000322, 0.939173, + 0.000350, 0.929600, 0.000370, 0.921181, 0.000391, 0.911640, 0.000414, 0.900435, 0.000427, + 0.888183, 0.000441, 0.874772, 0.000455, 0.859566, 0.000462, 0.843579, 0.000472, 0.826453, + 0.000474, 0.809164, 0.000477, 0.792179, 0.000478, 0.773866, 0.000473, 0.754944, 0.000470, + 0.735133, 0.000462, 0.714858, 0.000454, 0.694829, 0.000444, 0.674453, 0.000432, 0.653685, + 0.000420, 0.632666, 0.000407, 0.611676, 0.000392, 0.591193, 0.000379, 0.570145, 0.000363, + 0.549566, 0.000349, 0.529278, 0.000334, 0.509026, 0.000318, 0.489186, 0.000304, 0.469662, + 0.000289, 0.450691, 0.000275, 0.431841, 0.000261, 0.413752, 0.000248, 0.395951, 0.000235, + 0.378633, 0.000222, 0.361940, 0.000211, 0.345599, 0.000198, 0.329999, 0.000188, 1.000000, + 0.000027, 1.000000, 0.000027, 1.000000, 0.000027, 0.999999, 0.000027, 0.999998, 0.000027, + 0.999994, 0.000027, 0.999988, 0.000028, 0.999977, 0.000029, 0.999961, 0.000030, 0.999937, + 0.000032, 0.999904, 0.000036, 0.999854, 0.000041, 0.999790, 0.000049, 0.999699, 0.000062, + 0.999572, 0.000082, 0.999381, 0.000112, 0.999016, 0.000154, 0.997437, 0.000188, 0.993545, + 0.000156, 0.991135, 0.000161, 0.989157, 0.000188, 0.986874, 0.000226, 0.983714, 0.000269, + 0.978301, 0.000277, 0.973227, 0.000303, 0.967317, 0.000342, 0.959477, 0.000371, 0.950012, + 0.000393, 0.939484, 0.000428, 0.928135, 0.000444, 0.919819, 0.000473, 0.910049, 0.000492, + 0.899181, 0.000513, 0.886881, 0.000524, 0.873590, 0.000540, 0.858613, 0.000547, 0.842809, + 0.000555, 0.825727, 0.000558, 0.808086, 0.000558, 0.790728, 0.000556, 0.772987, 0.000553, + 0.754100, 0.000544, 0.734669, 0.000536, 0.714411, 0.000523, 0.694196, 0.000512, 0.674252, + 0.000497, 0.653570, 0.000481, 0.632999, 0.000467, 0.611994, 0.000449, 0.591604, 0.000432, + 0.571134, 0.000415, 0.550528, 0.000396, 0.530292, 0.000379, 0.510364, 0.000361, 0.490749, + 0.000344, 0.471266, 0.000328, 0.452462, 0.000311, 0.433907, 0.000295, 0.415659, 0.000279, + 0.398138, 0.000265, 0.380833, 0.000250, 0.364247, 0.000236, 0.348041, 0.000223, 0.332389, + 0.000211, 1.000000, 0.000042, 1.000000, 0.000042, 1.000000, 0.000042, 0.999999, 0.000042, + 0.999997, 0.000042, 0.999993, 0.000043, 0.999986, 0.000043, 0.999974, 0.000044, 0.999956, + 0.000046, 0.999930, 0.000049, 0.999892, 0.000054, 0.999838, 0.000061, 0.999767, 0.000072, + 0.999666, 0.000088, 0.999525, 0.000113, 0.999311, 0.000150, 0.998865, 0.000200, 0.996278, + 0.000211, 0.992956, 0.000190, 0.991017, 0.000210, 0.989055, 0.000244, 0.986741, 0.000290, + 0.983288, 0.000334, 0.977784, 0.000340, 0.973037, 0.000378, 0.967181, 0.000424, 0.958971, + 0.000444, 0.950093, 0.000483, 0.939552, 0.000518, 0.927678, 0.000539, 0.918278, 0.000569, + 0.908449, 0.000589, 0.897713, 0.000612, 0.885533, 0.000626, 0.872131, 0.000639, 0.857517, + 0.000647, 0.841796, 0.000652, 0.824726, 0.000654, 0.807297, 0.000656, 0.789058, 0.000647, + 0.771890, 0.000644, 0.753082, 0.000630, 0.734100, 0.000622, 0.714094, 0.000605, 0.693839, + 0.000589, 0.673891, 0.000573, 0.653565, 0.000553, 0.633326, 0.000533, 0.612582, 0.000515, + 0.592050, 0.000493, 0.571918, 0.000472, 0.551572, 0.000452, 0.531553, 0.000430, 0.511750, + 0.000410, 0.492380, 0.000390, 0.473143, 0.000370, 0.454230, 0.000351, 0.435963, 0.000332, + 0.417870, 0.000315, 0.400387, 0.000297, 0.383332, 0.000281, 0.366665, 0.000265, 0.350633, + 0.000251, 0.334964, 0.000236, 1.000000, 0.000064, 1.000000, 0.000064, 1.000000, 0.000064, + 0.999999, 0.000064, 0.999997, 0.000065, 0.999994, 0.000065, 0.999985, 0.000066, 0.999972, + 0.000068, 0.999952, 0.000070, 0.999922, 0.000074, 0.999880, 0.000080, 0.999820, 0.000090, + 0.999741, 0.000104, 0.999629, 0.000125, 0.999474, 0.000156, 0.999229, 0.000201, 0.998662, + 0.000259, 0.995299, 0.000245, 0.992732, 0.000245, 0.990847, 0.000273, 0.988911, 0.000316, + 0.986540, 0.000372, 0.982636, 0.000410, 0.977346, 0.000422, 0.972909, 0.000476, 0.966821, + 0.000522, 0.958686, 0.000545, 0.949754, 0.000589, 0.939184, 0.000620, 0.927505, 0.000654, + 0.916606, 0.000682, 0.906707, 0.000704, 0.895937, 0.000726, 0.883913, 0.000744, 0.870642, + 0.000755, 0.856241, 0.000764, 0.840690, 0.000771, 0.823728, 0.000766, 0.806481, 0.000768, + 0.787924, 0.000754, 0.770588, 0.000750, 0.751991, 0.000732, 0.733407, 0.000718, 0.713688, + 0.000701, 0.693595, 0.000679, 0.673426, 0.000657, 0.653590, 0.000636, 0.633576, 0.000612, + 0.613144, 0.000586, 0.592711, 0.000563, 0.572722, 0.000538, 0.552762, 0.000513, 0.532985, + 0.000490, 0.513219, 0.000464, 0.493992, 0.000442, 0.475090, 0.000419, 0.456287, 0.000397, + 0.438152, 0.000376, 0.420294, 0.000355, 0.402749, 0.000335, 0.385879, 0.000316, 0.369352, + 0.000298, 0.353301, 0.000281, 0.337781, 0.000265, 1.000000, 0.000097, 1.000000, 0.000097, + 1.000000, 0.000097, 0.999999, 0.000097, 0.999997, 0.000097, 0.999993, 0.000098, 0.999984, + 0.000099, 0.999969, 0.000101, 0.999946, 0.000105, 0.999913, 0.000110, 0.999868, 0.000118, + 0.999801, 0.000130, 0.999712, 0.000149, 0.999589, 0.000175, 0.999416, 0.000214, 0.999136, + 0.000269, 0.998367, 0.000333, 0.994701, 0.000305, 0.992497, 0.000318, 0.990608, 0.000354, + 0.988715, 0.000409, 0.986241, 0.000473, 0.981696, 0.000495, 0.977097, 0.000533, 0.972583, + 0.000594, 0.966142, 0.000637, 0.958230, 0.000670, 0.949677, 0.000719, 0.939226, 0.000751, + 0.927501, 0.000793, 0.915199, 0.000820, 0.904980, 0.000848, 0.894243, 0.000869, 0.882154, + 0.000884, 0.869161, 0.000898, 0.854751, 0.000901, 0.839368, 0.000907, 0.822874, 0.000902, + 0.805514, 0.000897, 0.787160, 0.000882, 0.769061, 0.000870, 0.751000, 0.000852, 0.732614, + 0.000831, 0.713171, 0.000807, 0.693472, 0.000783, 0.673528, 0.000756, 0.653397, 0.000727, + 0.633781, 0.000700, 0.613877, 0.000671, 0.593506, 0.000640, 0.573667, 0.000614, 0.553932, + 0.000583, 0.534345, 0.000554, 0.515042, 0.000528, 0.495674, 0.000499, 0.477132, 0.000474, + 0.458609, 0.000448, 0.440354, 0.000424, 0.422765, 0.000400, 0.405472, 0.000378, 0.388482, + 0.000355, 0.372191, 0.000336, 0.356099, 0.000315, 0.340737, 0.000298, 1.000000, 0.000143, + 1.000000, 0.000143, 1.000000, 0.000143, 0.999999, 0.000144, 0.999996, 0.000144, 0.999991, + 0.000145, 0.999981, 0.000147, 0.999966, 0.000149, 0.999941, 0.000154, 0.999905, 0.000161, + 0.999852, 0.000172, 0.999780, 0.000187, 0.999681, 0.000210, 0.999546, 0.000244, 0.999352, + 0.000292, 0.999027, 0.000357, 0.997886, 0.000422, 0.994190, 0.000385, 0.992140, 0.000410, + 0.990274, 0.000456, 0.988455, 0.000527, 0.985804, 0.000598, 0.981030, 0.000613, 0.976674, + 0.000668, 0.972021, 0.000737, 0.965274, 0.000774, 0.958046, 0.000831, 0.949333, 0.000876, + 0.939135, 0.000917, 0.927119, 0.000952, 0.914690, 0.000991, 0.903006, 0.001013, 0.892368, + 0.001038, 0.880231, 0.001050, 0.867432, 0.001063, 0.853208, 0.001068, 0.837956, 0.001065, + 0.821772, 0.001059, 0.804328, 0.001047, 0.786465, 0.001032, 0.768004, 0.001011, 0.749720, + 0.000986, 0.731682, 0.000963, 0.712813, 0.000932, 0.693139, 0.000899, 0.673566, 0.000870, + 0.653483, 0.000836, 0.633891, 0.000800, 0.614433, 0.000767, 0.594586, 0.000732, 0.574769, + 0.000696, 0.555149, 0.000664, 0.535898, 0.000630, 0.516753, 0.000596, 0.497816, 0.000567, + 0.479034, 0.000534, 0.460975, 0.000507, 0.442935, 0.000477, 0.425263, 0.000451, 0.408248, + 0.000425, 0.391339, 0.000400, 0.375130, 0.000378, 0.359172, 0.000354, 0.343876, 0.000335, + 1.000000, 0.000209, 1.000000, 0.000209, 1.000000, 0.000209, 0.999999, 0.000209, 0.999996, + 0.000210, 0.999991, 0.000211, 0.999979, 0.000213, 0.999963, 0.000217, 0.999933, 0.000223, + 0.999894, 0.000232, 0.999837, 0.000246, 0.999756, 0.000266, 0.999648, 0.000295, 0.999499, + 0.000337, 0.999283, 0.000396, 0.998896, 0.000474, 0.997006, 0.000520, 0.993819, 0.000497, + 0.991632, 0.000524, 0.989875, 0.000587, 0.988109, 0.000676, 0.985155, 0.000748, 0.980479, + 0.000769, 0.976271, 0.000841, 0.971347, 0.000911, 0.964528, 0.000953, 0.957632, 0.001022, + 0.948681, 0.001061, 0.938716, 0.001119, 0.926629, 0.001148, 0.914025, 0.001190, 0.901026, + 0.001212, 0.890358, 0.001239, 0.878283, 0.001253, 0.865459, 0.001255, 0.851407, 0.001261, + 0.836276, 0.001248, 0.820436, 0.001244, 0.803253, 0.001221, 0.785562, 0.001201, 0.767180, + 0.001178, 0.748551, 0.001143, 0.730564, 0.001109, 0.712253, 0.001076, 0.692867, 0.001036, + 0.673695, 0.000997, 0.653912, 0.000957, 0.634129, 0.000917, 0.615004, 0.000874, 0.595587, + 0.000833, 0.575965, 0.000795, 0.556600, 0.000752, 0.537428, 0.000716, 0.518623, 0.000677, + 0.499964, 0.000641, 0.481356, 0.000606, 0.463279, 0.000570, 0.445673, 0.000540, 0.428032, + 0.000507, 0.411112, 0.000480, 0.394444, 0.000451, 0.378247, 0.000424, 0.362415, 0.000399, + 0.347103, 0.000375, 1.000000, 0.000301, 1.000000, 0.000301, 1.000000, 0.000301, 0.999998, + 0.000301, 0.999996, 0.000302, 0.999989, 0.000303, 0.999977, 0.000306, 0.999958, 0.000311, + 0.999927, 0.000319, 0.999884, 0.000331, 0.999820, 0.000348, 0.999733, 0.000374, 0.999613, + 0.000410, 0.999447, 0.000462, 0.999204, 0.000533, 0.998725, 0.000625, 0.995871, 0.000632, + 0.993194, 0.000632, 0.991541, 0.000689, 0.989773, 0.000767, 0.987647, 0.000864, 0.984193, + 0.000922, 0.980016, 0.000971, 0.975859, 0.001060, 0.970514, 0.001122, 0.963625, 0.001172, + 0.956959, 0.001252, 0.947956, 0.001294, 0.938090, 0.001359, 0.926590, 0.001393, 0.913829, + 0.001433, 0.900050, 0.001458, 0.888129, 0.001475, 0.876070, 0.001488, 0.863461, 0.001487, + 0.849594, 0.001489, 0.834531, 0.001465, 0.819030, 0.001458, 0.802122, 0.001430, 0.784450, + 0.001397, 0.766434, 0.001363, 0.747816, 0.001326, 0.729519, 0.001283, 0.711454, 0.001238, + 0.692699, 0.001191, 0.673723, 0.001146, 0.654386, 0.001096, 0.634673, 0.001046, 0.615554, + 0.001000, 0.596462, 0.000948, 0.577385, 0.000902, 0.558257, 0.000856, 0.539200, 0.000810, + 0.520543, 0.000769, 0.502206, 0.000724, 0.484020, 0.000686, 0.465779, 0.000645, 0.448455, + 0.000610, 0.431091, 0.000572, 0.414147, 0.000540, 0.397650, 0.000507, 0.381576, 0.000478, + 0.365881, 0.000448, 0.350582, 0.000421, 1.000000, 0.000427, 1.000000, 0.000427, 1.000000, + 0.000427, 0.999998, 0.000428, 0.999995, 0.000429, 0.999988, 0.000431, 0.999976, 0.000434, + 0.999952, 0.000441, 0.999919, 0.000451, 0.999871, 0.000466, 0.999801, 0.000488, 0.999704, + 0.000520, 0.999572, 0.000566, 0.999389, 0.000629, 0.999114, 0.000715, 0.998488, 0.000819, + 0.995234, 0.000804, 0.993021, 0.000830, 0.991407, 0.000903, 0.989625, 0.000997, 0.987064, + 0.001097, 0.983265, 0.001144, 0.979535, 0.001227, 0.975224, 0.001326, 0.969574, 0.001381, + 0.963021, 0.001459, 0.956046, 0.001528, 0.947136, 0.001582, 0.937313, 0.001635, 0.926073, + 0.001684, 0.913121, 0.001716, 0.899165, 0.001742, 0.885891, 0.001761, 0.873783, 0.001764, + 0.861331, 0.001762, 0.847569, 0.001753, 0.832785, 0.001728, 0.817442, 0.001702, 0.800613, + 0.001666, 0.783597, 0.001629, 0.765710, 0.001583, 0.747021, 0.001531, 0.728593, 0.001480, + 0.710661, 0.001428, 0.692426, 0.001369, 0.673623, 0.001311, 0.654940, 0.001256, 0.635448, + 0.001195, 0.616221, 0.001138, 0.597531, 0.001082, 0.578795, 0.001027, 0.559892, 0.000971, + 0.541307, 0.000920, 0.522608, 0.000868, 0.504484, 0.000821, 0.486603, 0.000773, 0.468802, + 0.000730, 0.451172, 0.000685, 0.434348, 0.000648, 0.417445, 0.000606, 0.401077, 0.000572, + 0.385039, 0.000536, 0.369483, 0.000504, 0.354272, 0.000473, 1.000000, 0.000600, 1.000000, + 0.000600, 1.000000, 0.000600, 0.999998, 0.000600, 0.999994, 0.000601, 0.999987, 0.000604, + 0.999972, 0.000609, 0.999949, 0.000617, 0.999912, 0.000630, 0.999857, 0.000649, 0.999781, + 0.000677, 0.999674, 0.000717, 0.999528, 0.000773, 0.999326, 0.000850, 0.999009, 0.000953, + 0.998112, 0.001064, 0.994496, 0.001022, 0.992806, 0.001086, 0.991211, 0.001176, 0.989415, + 0.001290, 0.986499, 0.001390, 0.982679, 0.001445, 0.978839, 0.001540, 0.974295, 0.001644, + 0.968784, 0.001715, 0.962324, 0.001803, 0.954956, 0.001864, 0.946240, 0.001938, 0.936517, + 0.001982, 0.925186, 0.002030, 0.912520, 0.002066, 0.898441, 0.002078, 0.884394, 0.002099, + 0.871273, 0.002087, 0.859057, 0.002087, 0.845243, 0.002055, 0.830723, 0.002029, 0.815801, + 0.001995, 0.799140, 0.001942, 0.782372, 0.001888, 0.764820, 0.001837, 0.746586, 0.001774, + 0.728100, 0.001706, 0.709842, 0.001641, 0.692019, 0.001574, 0.673640, 0.001503, 0.655277, + 0.001435, 0.636438, 0.001364, 0.617364, 0.001299, 0.598603, 0.001230, 0.580195, 0.001166, + 0.561786, 0.001104, 0.543377, 0.001041, 0.525093, 0.000984, 0.506791, 0.000927, 0.489291, + 0.000874, 0.471811, 0.000822, 0.454435, 0.000775, 0.437493, 0.000727, 0.420977, 0.000684, + 0.404729, 0.000644, 0.388756, 0.000603, 0.373344, 0.000568, 0.358191, 0.000532, 1.000000, + 0.000832, 1.000000, 0.000832, 1.000000, 0.000832, 0.999998, 0.000833, 0.999995, 0.000834, + 0.999985, 0.000838, 0.999969, 0.000844, 0.999944, 0.000854, 0.999903, 0.000870, 0.999843, + 0.000894, 0.999759, 0.000929, 0.999643, 0.000978, 0.999480, 0.001047, 0.999255, 0.001140, + 0.998885, 0.001262, 0.997405, 0.001359, 0.994240, 0.001336, 0.992458, 0.001409, 0.990929, + 0.001523, 0.989116, 0.001659, 0.985624, 0.001741, 0.982003, 0.001821, 0.978336, 0.001945, + 0.973184, 0.002027, 0.967800, 0.002122, 0.961348, 0.002214, 0.953841, 0.002282, 0.945340, + 0.002357, 0.935552, 0.002406, 0.924064, 0.002444, 0.911827, 0.002476, 0.897731, 0.002484, + 0.883409, 0.002499, 0.868625, 0.002467, 0.856529, 0.002465, 0.842999, 0.002424, 0.828505, + 0.002374, 0.813825, 0.002326, 0.797813, 0.002267, 0.781097, 0.002197, 0.764038, 0.002124, + 0.746067, 0.002048, 0.727687, 0.001967, 0.709571, 0.001888, 0.691503, 0.001805, 0.673673, + 0.001718, 0.655732, 0.001641, 0.637399, 0.001559, 0.618616, 0.001476, 0.600050, 0.001401, + 0.581713, 0.001324, 0.563546, 0.001250, 0.545605, 0.001182, 0.527559, 0.001112, 0.509764, + 0.001050, 0.491930, 0.000986, 0.475011, 0.000929, 0.457878, 0.000873, 0.440979, 0.000820, + 0.424613, 0.000772, 0.408549, 0.000722, 0.392771, 0.000680, 0.377317, 0.000637, 0.362352, + 0.000598, 1.000000, 0.001143, 1.000000, 0.001143, 0.999999, 0.001143, 0.999998, 0.001144, + 0.999994, 0.001146, 0.999984, 0.001150, 0.999967, 0.001158, 0.999937, 0.001171, 0.999894, + 0.001191, 0.999828, 0.001220, 0.999735, 0.001263, 0.999606, 0.001324, 0.999426, 0.001407, + 0.999173, 0.001519, 0.998730, 0.001661, 0.996243, 0.001702, 0.993779, 0.001728, 0.991900, + 0.001811, 0.990524, 0.001960, 0.988680, 0.002120, 0.984663, 0.002176, 0.981457, 0.002306, + 0.977608, 0.002440, 0.972215, 0.002513, 0.966798, 0.002629, 0.960241, 0.002714, 0.952489, + 0.002784, 0.944127, 0.002854, 0.934282, 0.002910, 0.923271, 0.002946, 0.910803, 0.002963, + 0.896705, 0.002968, 0.882380, 0.002966, 0.867116, 0.002932, 0.853636, 0.002894, 0.840469, + 0.002847, 0.826390, 0.002786, 0.811759, 0.002716, 0.796113, 0.002632, 0.779518, 0.002546, + 0.763142, 0.002460, 0.745464, 0.002365, 0.727491, 0.002265, 0.709414, 0.002164, 0.691396, + 0.002071, 0.673680, 0.001971, 0.656049, 0.001870, 0.638188, 0.001776, 0.620177, 0.001685, + 0.601506, 0.001589, 0.583620, 0.001506, 0.565496, 0.001418, 0.547890, 0.001337, 0.530323, + 0.001260, 0.512795, 0.001186, 0.495199, 0.001115, 0.478101, 0.001049, 0.461511, 0.000984, + 0.444879, 0.000926, 0.428424, 0.000867, 0.412495, 0.000814, 0.396975, 0.000764, 0.381614, + 0.000716, 0.366732, 0.000672, 1.000000, 0.001555, 1.000000, 0.001555, 1.000000, 0.001555, + 0.999998, 0.001556, 0.999994, 0.001559, 0.999983, 0.001564, 0.999963, 0.001573, 0.999932, + 0.001589, 0.999882, 0.001614, 0.999810, 0.001650, 0.999708, 0.001703, 0.999565, 0.001777, + 0.999368, 0.001877, 0.999081, 0.002010, 0.998520, 0.002172, 0.995490, 0.002174, 0.993252, + 0.002224, 0.991727, 0.002350, 0.989951, 0.002506, 0.988029, 0.002688, 0.984029, 0.002750, + 0.980683, 0.002898, 0.976554, 0.003033, 0.971390, 0.003133, 0.965544, 0.003237, 0.959120, + 0.003334, 0.951183, 0.003404, 0.942974, 0.003475, 0.932642, 0.003504, 0.922158, 0.003545, + 0.909404, 0.003539, 0.896071, 0.003544, 0.881206, 0.003499, 0.866077, 0.003473, 0.850930, + 0.003415, 0.837703, 0.003334, 0.823878, 0.003249, 0.809449, 0.003163, 0.794379, 0.003064, + 0.778138, 0.002950, 0.761997, 0.002841, 0.744938, 0.002721, 0.727212, 0.002607, 0.709549, + 0.002489, 0.691704, 0.002368, 0.673689, 0.002252, 0.656453, 0.002138, 0.639128, 0.002022, + 0.621512, 0.001914, 0.603598, 0.001810, 0.585590, 0.001705, 0.567852, 0.001609, 0.550300, + 0.001514, 0.533033, 0.001425, 0.515942, 0.001340, 0.498814, 0.001260, 0.481595, 0.001182, + 0.465117, 0.001112, 0.448865, 0.001041, 0.432711, 0.000977, 0.416822, 0.000919, 0.401272, + 0.000858, 0.386226, 0.000807, 0.371321, 0.000755, 1.000000, 0.002096, 1.000000, 0.002096, + 1.000000, 0.002096, 0.999997, 0.002097, 0.999991, 0.002100, 0.999979, 0.002107, 0.999959, + 0.002118, 0.999925, 0.002138, 0.999870, 0.002168, 0.999791, 0.002213, 0.999677, 0.002277, + 0.999521, 0.002365, 0.999301, 0.002485, 0.998977, 0.002642, 0.998191, 0.002817, 0.994801, + 0.002785, 0.993091, 0.002888, 0.991571, 0.003039, 0.989700, 0.003216, 0.987023, 0.003373, + 0.983289, 0.003461, 0.979892, 0.003637, 0.975111, 0.003736, 0.970351, 0.003884, 0.964131, + 0.003971, 0.957747, 0.004081, 0.949536, 0.004135, 0.941372, 0.004203, 0.931049, 0.004228, + 0.920647, 0.004250, 0.908033, 0.004228, 0.895028, 0.004220, 0.879968, 0.004150, 0.864875, + 0.004088, 0.849180, 0.004009, 0.834934, 0.003912, 0.821397, 0.003801, 0.807135, 0.003680, + 0.792363, 0.003552, 0.776661, 0.003411, 0.760705, 0.003281, 0.744408, 0.003140, 0.726994, + 0.002991, 0.709598, 0.002850, 0.692112, 0.002712, 0.674435, 0.002572, 0.656760, 0.002434, + 0.639982, 0.002304, 0.622983, 0.002178, 0.605471, 0.002050, 0.587960, 0.001938, 0.570463, + 0.001820, 0.553058, 0.001715, 0.535894, 0.001611, 0.519089, 0.001514, 0.502454, 0.001421, + 0.485681, 0.001335, 0.468935, 0.001250, 0.452951, 0.001173, 0.437139, 0.001102, 0.421446, + 0.001031, 0.405951, 0.000966, 0.391003, 0.000908, 0.376198, 0.000848, 1.000000, 0.002801, + 1.000000, 0.002801, 0.999999, 0.002801, 0.999997, 0.002802, 0.999992, 0.002806, 0.999979, + 0.002814, 0.999956, 0.002828, 0.999916, 0.002852, 0.999857, 0.002889, 0.999768, 0.002943, + 0.999645, 0.003019, 0.999470, 0.003125, 0.999229, 0.003267, 0.998852, 0.003450, 0.997558, + 0.003611, 0.994417, 0.003590, 0.992824, 0.003724, 0.991344, 0.003907, 0.989337, 0.004104, + 0.985811, 0.004210, 0.982772, 0.004375, 0.979001, 0.004551, 0.974102, 0.004645, 0.969197, + 0.004806, 0.962759, 0.004878, 0.956207, 0.004982, 0.947909, 0.005034, 0.939596, 0.005075, + 0.929642, 0.005098, 0.918807, 0.005085, 0.906921, 0.005056, 0.893312, 0.004988, 0.878933, + 0.004913, 0.863986, 0.004826, 0.847936, 0.004708, 0.832253, 0.004569, 0.818619, 0.004427, + 0.804788, 0.004277, 0.790241, 0.004119, 0.775162, 0.003948, 0.759463, 0.003774, 0.743598, + 0.003610, 0.726970, 0.003436, 0.709646, 0.003264, 0.692770, 0.003097, 0.675371, 0.002936, + 0.657863, 0.002777, 0.640772, 0.002617, 0.624441, 0.002474, 0.607497, 0.002331, 0.590438, + 0.002190, 0.573224, 0.002066, 0.556168, 0.001935, 0.539232, 0.001825, 0.522352, 0.001707, + 0.506172, 0.001606, 0.489842, 0.001505, 0.473463, 0.001409, 0.457266, 0.001326, 0.441609, + 0.001238, 0.426348, 0.001163, 0.411002, 0.001089, 0.396045, 0.001019, 0.381448, 0.000956, + 1.000000, 0.003712, 1.000000, 0.003712, 1.000000, 0.003713, 0.999997, 0.003714, 0.999990, + 0.003719, 0.999977, 0.003728, 0.999950, 0.003745, 0.999908, 0.003774, 0.999843, 0.003818, + 0.999745, 0.003883, 0.999608, 0.003974, 0.999415, 0.004100, 0.999143, 0.004267, 0.998700, + 0.004476, 0.996363, 0.004553, 0.994021, 0.004611, 0.992372, 0.004764, 0.991007, 0.004991, + 0.988767, 0.005197, 0.984872, 0.005284, 0.982004, 0.005489, 0.977714, 0.005644, 0.973076, + 0.005769, 0.967565, 0.005892, 0.961384, 0.005996, 0.954435, 0.006060, 0.946303, 0.006113, + 0.937662, 0.006120, 0.927867, 0.006122, 0.916475, 0.006048, 0.905410, 0.006031, 0.891591, + 0.005922, 0.877573, 0.005789, 0.862511, 0.005666, 0.846861, 0.005515, 0.830680, 0.005338, + 0.815725, 0.005155, 0.802321, 0.004966, 0.787826, 0.004754, 0.773454, 0.004560, 0.758224, + 0.004347, 0.742650, 0.004144, 0.726729, 0.003937, 0.710155, 0.003736, 0.693312, 0.003537, + 0.676530, 0.003344, 0.659444, 0.003160, 0.642051, 0.002978, 0.625758, 0.002806, 0.609615, + 0.002643, 0.592919, 0.002485, 0.576298, 0.002333, 0.559489, 0.002195, 0.542891, 0.002054, + 0.526255, 0.001934, 0.509853, 0.001807, 0.494131, 0.001698, 0.478114, 0.001591, 0.462274, + 0.001490, 0.446412, 0.001395, 0.431274, 0.001310, 0.416350, 0.001224, 0.401476, 0.001148, + 0.386993, 0.001076, 1.000000, 0.004882, 1.000000, 0.004882, 1.000000, 0.004883, 0.999997, + 0.004885, 0.999988, 0.004890, 0.999974, 0.004901, 0.999946, 0.004922, 0.999897, 0.004956, + 0.999825, 0.005009, 0.999718, 0.005086, 0.999565, 0.005194, 0.999352, 0.005341, 0.999046, + 0.005535, 0.998492, 0.005770, 0.995564, 0.005785, 0.993339, 0.005864, 0.991834, 0.006060, + 0.990496, 0.006333, 0.987826, 0.006519, 0.983830, 0.006608, 0.981090, 0.006855, 0.976131, + 0.006958, 0.971922, 0.007142, 0.965901, 0.007214, 0.959606, 0.007320, 0.952504, 0.007358, + 0.944365, 0.007385, 0.935652, 0.007380, 0.925813, 0.007336, 0.914397, 0.007231, 0.903257, + 0.007140, 0.890015, 0.007001, 0.876014, 0.006828, 0.861436, 0.006656, 0.845752, 0.006445, + 0.829169, 0.006216, 0.813435, 0.005978, 0.799701, 0.005757, 0.785726, 0.005499, 0.771520, + 0.005250, 0.756830, 0.004996, 0.741951, 0.004754, 0.726367, 0.004508, 0.710537, 0.004268, + 0.693965, 0.004035, 0.677724, 0.003808, 0.661170, 0.003594, 0.644274, 0.003384, 0.627449, + 0.003182, 0.611645, 0.002997, 0.595614, 0.002810, 0.579426, 0.002643, 0.563016, 0.002475, + 0.546728, 0.002326, 0.530539, 0.002178, 0.514164, 0.002042, 0.498344, 0.001914, 0.482957, + 0.001792, 0.467336, 0.001677, 0.451994, 0.001576, 0.436514, 0.001471, 0.421780, 0.001380, + 0.407271, 0.001292, 0.392822, 0.001210, 1.000000, 0.006374, 1.000000, 0.006374, 0.999999, + 0.006375, 0.999996, 0.006377, 0.999987, 0.006384, 0.999971, 0.006397, 0.999939, 0.006421, + 0.999888, 0.006462, 0.999807, 0.006524, 0.999689, 0.006615, 0.999520, 0.006742, 0.999283, + 0.006913, 0.998936, 0.007136, 0.998165, 0.007385, 0.994847, 0.007344, 0.993182, 0.007500, + 0.991665, 0.007725, 0.989708, 0.007976, 0.986663, 0.008130, 0.983288, 0.008304, 0.980104, + 0.008535, 0.974855, 0.008610, 0.970450, 0.008791, 0.964509, 0.008864, 0.957594, 0.008903, + 0.950546, 0.008933, 0.942225, 0.008901, 0.933365, 0.008868, 0.923202, 0.008732, 0.912605, + 0.008631, 0.901099, 0.008474, 0.888177, 0.008258, 0.873955, 0.008018, 0.860091, 0.007790, + 0.844340, 0.007525, 0.828517, 0.007241, 0.812390, 0.006938, 0.797210, 0.006648, 0.783489, + 0.006348, 0.769514, 0.006042, 0.755419, 0.005736, 0.741083, 0.005444, 0.726059, 0.005155, + 0.710809, 0.004871, 0.695052, 0.004598, 0.678886, 0.004334, 0.663042, 0.004080, 0.646634, + 0.003843, 0.630117, 0.003609, 0.613804, 0.003389, 0.598338, 0.003185, 0.582687, 0.002984, + 0.566809, 0.002801, 0.550817, 0.002623, 0.534937, 0.002458, 0.519151, 0.002306, 0.503118, + 0.002155, 0.487723, 0.002020, 0.472725, 0.001894, 0.457599, 0.001771, 0.442558, 0.001658, + 0.427624, 0.001555, 0.413171, 0.001453, 0.399122, 0.001365, 1.000000, 0.008265, 1.000000, + 0.008265, 1.000000, 0.008266, 0.999996, 0.008268, 0.999987, 0.008276, 0.999967, 0.008292, + 0.999933, 0.008320, 0.999876, 0.008368, 0.999786, 0.008440, 0.999655, 0.008546, 0.999468, + 0.008693, 0.999203, 0.008891, 0.998803, 0.009144, 0.997480, 0.009358, 0.994446, 0.009333, + 0.992920, 0.009531, 0.991414, 0.009789, 0.989049, 0.010023, 0.985820, 0.010166, 0.982441, + 0.010358, 0.978595, 0.010529, 0.973495, 0.010627, 0.968405, 0.010726, 0.962717, 0.010823, + 0.955478, 0.010810, 0.948275, 0.010791, 0.940006, 0.010716, 0.930831, 0.010631, 0.920648, + 0.010408, 0.910205, 0.010231, 0.898445, 0.010005, 0.885986, 0.009719, 0.872204, 0.009407, + 0.858436, 0.009109, 0.843454, 0.008766, 0.827437, 0.008398, 0.811488, 0.008037, 0.796039, + 0.007674, 0.781083, 0.007310, 0.767642, 0.006940, 0.753901, 0.006575, 0.740131, 0.006227, + 0.725845, 0.005884, 0.710991, 0.005556, 0.696002, 0.005231, 0.680461, 0.004925, 0.664875, + 0.004635, 0.649273, 0.004354, 0.633020, 0.004087, 0.617050, 0.003841, 0.601154, 0.003596, + 0.586008, 0.003376, 0.570699, 0.003160, 0.555166, 0.002960, 0.539645, 0.002776, 0.524159, + 0.002595, 0.508682, 0.002433, 0.493163, 0.002279, 0.478004, 0.002131, 0.463470, 0.001995, + 0.448778, 0.001870, 0.434105, 0.001747, 0.419576, 0.001639, 0.405541, 0.001533, 1.000000, + 0.010646, 1.000000, 0.010646, 0.999999, 0.010647, 0.999995, 0.010650, 0.999985, 0.010659, + 0.999964, 0.010677, 0.999925, 0.010711, 0.999861, 0.010766, 0.999763, 0.010850, 0.999616, + 0.010972, 0.999408, 0.011141, 0.999112, 0.011366, 0.998637, 0.011647, 0.996223, 0.011723, + 0.994006, 0.011806, 0.992444, 0.012025, 0.991028, 0.012331, 0.988030, 0.012495, 0.984816, + 0.012654, 0.981399, 0.012854, 0.977085, 0.012969, 0.972154, 0.013091, 0.966617, 0.013117, + 0.960628, 0.013158, 0.953295, 0.013109, 0.945750, 0.012997, 0.937654, 0.012880, 0.927716, + 0.012648, 0.917932, 0.012389, 0.907719, 0.012131, 0.895840, 0.011801, 0.883526, 0.011414, + 0.870301, 0.011007, 0.856272, 0.010602, 0.842251, 0.010194, 0.826466, 0.009733, 0.810859, + 0.009285, 0.795051, 0.008833, 0.780053, 0.008403, 0.765750, 0.007964, 0.752298, 0.007525, + 0.739153, 0.007115, 0.725514, 0.006704, 0.711473, 0.006327, 0.696936, 0.005952, 0.682126, + 0.005592, 0.667027, 0.005254, 0.651875, 0.004938, 0.636463, 0.004628, 0.620641, 0.004339, + 0.604931, 0.004070, 0.589549, 0.003809, 0.574712, 0.003570, 0.559775, 0.003345, 0.544514, + 0.003125, 0.529555, 0.002932, 0.514402, 0.002742, 0.499302, 0.002566, 0.484114, 0.002399, + 0.469308, 0.002251, 0.455133, 0.002102, 0.440939, 0.001973, 0.426627, 0.001844, 0.412509, + 0.001725, 1.000000, 0.013628, 1.000000, 0.013628, 0.999999, 0.013629, 0.999995, 0.013633, + 0.999983, 0.013643, 0.999960, 0.013664, 0.999917, 0.013702, 0.999846, 0.013765, 0.999736, + 0.013862, 0.999573, 0.014001, 0.999340, 0.014193, 0.999004, 0.014446, 0.998407, 0.014749, + 0.995464, 0.014731, 0.993328, 0.014828, 0.991799, 0.015080, 0.990397, 0.015432, 0.986835, + 0.015501, 0.983938, 0.015731, 0.980154, 0.015875, 0.975659, 0.015958, 0.970171, 0.015983, + 0.964803, 0.016008, 0.958366, 0.015948, 0.950613, 0.015800, 0.942874, 0.015584, 0.935005, + 0.015429, 0.924991, 0.015074, 0.914814, 0.014676, 0.904743, 0.014310, 0.893216, 0.013869, + 0.880769, 0.013371, 0.868136, 0.012861, 0.854690, 0.012340, 0.840593, 0.011809, 0.825808, + 0.011253, 0.810090, 0.010710, 0.795040, 0.010164, 0.779757, 0.009640, 0.764697, 0.009119, + 0.750913, 0.008595, 0.738175, 0.008116, 0.725242, 0.007645, 0.711864, 0.007189, 0.698009, + 0.006758, 0.683841, 0.006350, 0.669391, 0.005955, 0.654731, 0.005587, 0.639805, 0.005236, + 0.624789, 0.004908, 0.609325, 0.004594, 0.593975, 0.004303, 0.578983, 0.004030, 0.564442, + 0.003771, 0.549835, 0.003532, 0.535039, 0.003303, 0.520403, 0.003089, 0.505687, 0.002893, + 0.490939, 0.002708, 0.476233, 0.002534, 0.461624, 0.002371, 0.447833, 0.002221, 0.433992, + 0.002076, 0.420147, 0.001950, 1.000000, 0.017341, 1.000000, 0.017342, 0.999999, 0.017343, + 0.999995, 0.017347, 0.999983, 0.017358, 0.999954, 0.017382, 0.999908, 0.017426, 0.999828, + 0.017497, 0.999705, 0.017606, 0.999524, 0.017763, 0.999263, 0.017978, 0.998878, 0.018258, + 0.998012, 0.018555, 0.994614, 0.018426, 0.993132, 0.018638, 0.991563, 0.018907, 0.989298, + 0.019158, 0.986036, 0.019252, 0.982558, 0.019406, 0.978531, 0.019486, 0.974198, 0.019585, + 0.968148, 0.019475, 0.962565, 0.019428, 0.956041, 0.019299, 0.947749, 0.018989, 0.940180, + 0.018704, 0.931650, 0.018346, 0.921798, 0.017878, 0.911573, 0.017362, 0.901569, 0.016848, + 0.890341, 0.016265, 0.877835, 0.015620, 0.865472, 0.014952, 0.852905, 0.014327, 0.838906, + 0.013664, 0.824888, 0.012990, 0.809977, 0.012322, 0.794697, 0.011657, 0.780028, 0.011031, + 0.765124, 0.010424, 0.750411, 0.009822, 0.737264, 0.009244, 0.724799, 0.008687, 0.712253, + 0.008165, 0.699267, 0.007673, 0.685618, 0.007197, 0.671736, 0.006739, 0.657777, 0.006319, + 0.643497, 0.005924, 0.628890, 0.005539, 0.614299, 0.005193, 0.599197, 0.004860, 0.584175, + 0.004544, 0.569541, 0.004258, 0.555193, 0.003979, 0.540947, 0.003724, 0.526593, 0.003486, + 0.512335, 0.003261, 0.498017, 0.003051, 0.483609, 0.002855, 0.469368, 0.002675, 0.455037, + 0.002499, 0.441493, 0.002348, 0.428147, 0.002199, 1.000000, 0.021942, 1.000000, 0.021942, + 0.999998, 0.021943, 0.999993, 0.021948, 0.999981, 0.021961, 0.999949, 0.021988, 0.999896, + 0.022037, 0.999808, 0.022117, 0.999670, 0.022238, 0.999466, 0.022412, 0.999174, 0.022649, + 0.998725, 0.022953, 0.996979, 0.023112, 0.994317, 0.023074, 0.992781, 0.023290, 0.991191, + 0.023573, 0.987787, 0.023615, 0.985092, 0.023799, 0.981121, 0.023855, 0.976924, 0.023871, + 0.972180, 0.023870, 0.965956, 0.023660, 0.959998, 0.023474, 0.953245, 0.023228, 0.944445, + 0.022697, 0.937087, 0.022353, 0.928341, 0.021814, 0.918400, 0.021152, 0.907959, 0.020455, + 0.898080, 0.019767, 0.887047, 0.018992, 0.875221, 0.018208, 0.862690, 0.017358, 0.850735, + 0.016572, 0.837545, 0.015752, 0.823639, 0.014948, 0.809699, 0.014143, 0.794797, 0.013353, + 0.780578, 0.012619, 0.766019, 0.011891, 0.751447, 0.011184, 0.737275, 0.010514, 0.724545, + 0.009873, 0.712644, 0.009266, 0.700432, 0.008690, 0.687664, 0.008147, 0.674288, 0.007630, + 0.660966, 0.007144, 0.647264, 0.006685, 0.633431, 0.006266, 0.619133, 0.005856, 0.604935, + 0.005482, 0.590236, 0.005133, 0.575473, 0.004791, 0.561228, 0.004489, 0.547054, 0.004202, + 0.533175, 0.003929, 0.519163, 0.003674, 0.505328, 0.003441, 0.491446, 0.003220, 0.477356, + 0.003013, 0.463560, 0.002826, 0.449623, 0.002650, 0.436068, 0.002470, 1.000000, 0.027613, + 1.000000, 0.027614, 0.999998, 0.027615, 0.999993, 0.027620, 0.999976, 0.027634, 0.999945, + 0.027664, 0.999884, 0.027718, 0.999784, 0.027806, 0.999630, 0.027939, 0.999401, 0.028130, + 0.999066, 0.028386, 0.998524, 0.028703, 0.995702, 0.028626, 0.993593, 0.028673, 0.992067, + 0.028899, 0.990548, 0.029213, 0.986775, 0.029130, 0.984054, 0.029310, 0.979481, 0.029188, + 0.975297, 0.029160, 0.969810, 0.028954, 0.963524, 0.028628, 0.957398, 0.028313, 0.950088, + 0.027847, 0.941538, 0.027180, 0.933332, 0.026539, 0.924392, 0.025778, 0.914581, 0.024916, + 0.904347, 0.024024, 0.894324, 0.023123, 0.883724, 0.022153, 0.872207, 0.021136, 0.859927, + 0.020105, 0.848373, 0.019126, 0.836023, 0.018131, 0.822890, 0.017172, 0.809324, 0.016220, + 0.795361, 0.015262, 0.781253, 0.014390, 0.767338, 0.013533, 0.753156, 0.012724, 0.739122, + 0.011945, 0.725358, 0.011205, 0.712949, 0.010487, 0.701621, 0.009840, 0.689703, 0.009215, + 0.677216, 0.008625, 0.664217, 0.008069, 0.651370, 0.007559, 0.638000, 0.007057, 0.624530, + 0.006613, 0.610601, 0.006184, 0.596760, 0.005780, 0.582433, 0.005409, 0.568026, 0.005061, + 0.554140, 0.004735, 0.540178, 0.004429, 0.526513, 0.004144, 0.512954, 0.003882, 0.499403, + 0.003629, 0.486026, 0.003408, 0.472345, 0.003186, 0.458828, 0.002976, 0.445379, 0.002794, + 1.000000, 0.034572, 1.000000, 0.034572, 0.999999, 0.034573, 0.999991, 0.034579, 0.999974, + 0.034594, 0.999937, 0.034626, 0.999869, 0.034685, 0.999757, 0.034780, 0.999582, 0.034923, + 0.999322, 0.035126, 0.998939, 0.035397, 0.998219, 0.035702, 0.994974, 0.035473, 0.993201, + 0.035562, 0.991573, 0.035764, 0.989301, 0.035925, 0.985712, 0.035802, 0.982411, 0.035835, + 0.977827, 0.035617, 0.973278, 0.035440, 0.967397, 0.035048, 0.960696, 0.034480, 0.954349, + 0.033986, 0.946066, 0.033132, 0.938012, 0.032359, 0.929413, 0.031441, 0.920355, 0.030410, + 0.910586, 0.029278, 0.900609, 0.028139, 0.890093, 0.026910, 0.880013, 0.025727, 0.869001, + 0.024467, 0.857510, 0.023225, 0.845820, 0.022012, 0.834383, 0.020827, 0.822158, 0.019663, + 0.809056, 0.018531, 0.795832, 0.017417, 0.782547, 0.016376, 0.768900, 0.015391, 0.755526, + 0.014449, 0.741681, 0.013537, 0.728178, 0.012696, 0.714642, 0.011881, 0.702756, 0.011116, + 0.691750, 0.010415, 0.680159, 0.009744, 0.668073, 0.009119, 0.655405, 0.008514, 0.642921, + 0.007976, 0.629993, 0.007451, 0.616828, 0.006970, 0.603305, 0.006524, 0.589833, 0.006102, + 0.575945, 0.005708, 0.561745, 0.005334, 0.548277, 0.005000, 0.534467, 0.004676, 0.521032, + 0.004381, 0.507877, 0.004103, 0.494654, 0.003836, 0.481592, 0.003587, 0.468509, 0.003373, + 0.455293, 0.003162, 1.000000, 0.043070, 1.000000, 0.043070, 0.999998, 0.043071, 0.999991, + 0.043077, 0.999970, 0.043094, 0.999928, 0.043128, 0.999852, 0.043189, 0.999724, 0.043290, + 0.999527, 0.043440, 0.999230, 0.043651, 0.998783, 0.043925, 0.997507, 0.044110, 0.994418, + 0.043823, 0.992864, 0.043940, 0.991127, 0.044096, 0.987331, 0.043841, 0.984819, 0.043899, + 0.980384, 0.043591, 0.975846, 0.043254, 0.970748, 0.042829, 0.964303, 0.042153, 0.957720, + 0.041411, 0.950747, 0.040589, 0.942533, 0.039489, 0.934045, 0.038354, 0.924942, 0.037057, + 0.915811, 0.035699, 0.906120, 0.034240, 0.896434, 0.032808, 0.886021, 0.031288, 0.876081, + 0.029778, 0.865608, 0.028233, 0.854924, 0.026749, 0.843607, 0.025260, 0.832456, 0.023821, + 0.821342, 0.022468, 0.809303, 0.021130, 0.796468, 0.019839, 0.784046, 0.018623, 0.771262, + 0.017456, 0.758118, 0.016381, 0.745075, 0.015329, 0.731926, 0.014365, 0.718630, 0.013436, + 0.705414, 0.012560, 0.693792, 0.011751, 0.683108, 0.011002, 0.671830, 0.010276, 0.660150, + 0.009620, 0.647907, 0.008980, 0.635734, 0.008408, 0.623208, 0.007862, 0.610438, 0.007350, + 0.597345, 0.006877, 0.584138, 0.006435, 0.570700, 0.006022, 0.556966, 0.005632, 0.543607, + 0.005283, 0.530213, 0.004940, 0.516912, 0.004623, 0.503916, 0.004331, 0.491146, 0.004069, + 0.478439, 0.003814, 0.465834, 0.003580, 1.000000, 0.053404, 1.000000, 0.053404, 0.999998, + 0.053406, 0.999989, 0.053412, 0.999968, 0.053428, 0.999918, 0.053463, 0.999830, 0.053526, + 0.999685, 0.053628, 0.999461, 0.053780, 0.999119, 0.053990, 0.998582, 0.054252, 0.995919, + 0.054032, 0.993735, 0.053891, 0.992126, 0.053956, 0.990266, 0.054040, 0.986317, 0.053606, + 0.983213, 0.053442, 0.978303, 0.052862, 0.973665, 0.052336, 0.968091, 0.051617, 0.961026, + 0.050543, 0.954333, 0.049523, 0.946372, 0.048170, 0.938254, 0.046767, 0.929516, 0.045234, + 0.920106, 0.043508, 0.910899, 0.041740, 0.901532, 0.039939, 0.891919, 0.038090, 0.882006, + 0.036234, 0.871965, 0.034344, 0.862145, 0.032483, 0.852058, 0.030668, 0.841610, 0.028910, + 0.830806, 0.027208, 0.820476, 0.025609, 0.809514, 0.024039, 0.797865, 0.022538, 0.785621, + 0.021123, 0.773765, 0.019791, 0.761629, 0.018523, 0.748891, 0.017336, 0.736437, 0.016230, + 0.723707, 0.015178, 0.710606, 0.014179, 0.698019, 0.013259, 0.686203, 0.012389, 0.675692, + 0.011598, 0.664826, 0.010833, 0.653490, 0.010135, 0.641774, 0.009478, 0.629794, 0.008861, + 0.617647, 0.008285, 0.605340, 0.007753, 0.592718, 0.007260, 0.579746, 0.006797, 0.566763, + 0.006361, 0.553515, 0.005952, 0.540118, 0.005569, 0.527325, 0.005231, 0.514265, 0.004907, + 0.501406, 0.004603, 0.488922, 0.004312, 0.476541, 0.004047, 1.000000, 0.065918, 1.000000, + 0.065919, 0.999998, 0.065920, 0.999988, 0.065926, 0.999963, 0.065942, 0.999907, 0.065976, + 0.999806, 0.066038, 0.999639, 0.066136, 0.999378, 0.066281, 0.998985, 0.066478, 0.998285, + 0.066691, 0.995071, 0.066199, 0.993172, 0.066045, 0.991438, 0.066010, 0.988428, 0.065687, + 0.985218, 0.065291, 0.981128, 0.064711, 0.976015, 0.063849, 0.970970, 0.062993, 0.964582, + 0.061793, 0.957383, 0.060363, 0.949969, 0.058813, 0.941843, 0.057027, 0.933624, 0.055189, + 0.924543, 0.053122, 0.914919, 0.050890, 0.905773, 0.048642, 0.896434, 0.046336, 0.887195, + 0.044062, 0.877706, 0.041780, 0.867719, 0.039450, 0.858587, 0.037243, 0.849317, 0.035096, + 0.839585, 0.032985, 0.829856, 0.031003, 0.819589, 0.029095, 0.809714, 0.027274, 0.799340, + 0.025563, 0.788224, 0.023918, 0.776619, 0.022383, 0.765210, 0.020930, 0.753716, 0.019579, + 0.741564, 0.018300, 0.729413, 0.017126, 0.717146, 0.015993, 0.704360, 0.014949, 0.692190, + 0.013968, 0.680289, 0.013058, 0.669611, 0.012220, 0.659113, 0.011417, 0.648148, 0.010673, + 0.636905, 0.009990, 0.625154, 0.009343, 0.613481, 0.008748, 0.601540, 0.008183, 0.589430, + 0.007669, 0.576828, 0.007172, 0.564194, 0.006727, 0.551501, 0.006309, 0.538635, 0.005922, + 0.525724, 0.005549, 0.513209, 0.005202, 0.500457, 0.004882, 0.487990, 0.004572, 1.000000, + 0.081013, 1.000000, 0.081013, 0.999997, 0.081015, 0.999985, 0.081020, 0.999956, 0.081035, + 0.999893, 0.081066, 0.999777, 0.081120, 0.999583, 0.081208, 0.999281, 0.081334, 0.998813, + 0.081497, 0.997597, 0.081522, 0.994379, 0.080850, 0.992744, 0.080679, 0.990745, 0.080459, + 0.986646, 0.079611, 0.983611, 0.079091, 0.978869, 0.078075, 0.973475, 0.076822, 0.967845, + 0.075493, 0.960778, 0.073706, 0.953333, 0.071805, 0.945274, 0.069595, 0.936955, 0.067249, + 0.928319, 0.064773, 0.919075, 0.062095, 0.909114, 0.059182, 0.900137, 0.056392, 0.891069, + 0.053539, 0.882262, 0.050764, 0.873232, 0.047979, 0.864042, 0.045226, 0.855002, 0.042541, + 0.846569, 0.040013, 0.837714, 0.037527, 0.828918, 0.035203, 0.819783, 0.033001, 0.810129, + 0.030891, 0.800866, 0.028911, 0.790930, 0.027026, 0.780593, 0.025276, 0.769511, 0.023618, + 0.758558, 0.022065, 0.747632, 0.020629, 0.736146, 0.019287, 0.724093, 0.018033, 0.712340, + 0.016826, 0.700201, 0.015746, 0.687949, 0.014703, 0.676163, 0.013751, 0.665001, 0.012866, + 0.654720, 0.012037, 0.644213, 0.011260, 0.633382, 0.010541, 0.622120, 0.009865, 0.610631, + 0.009233, 0.599078, 0.008642, 0.587519, 0.008118, 0.575505, 0.007612, 0.563148, 0.007139, + 0.550828, 0.006684, 0.538458, 0.006277, 0.525905, 0.005883, 0.513517, 0.005527, 0.501395, + 0.005197, 1.000000, 0.099151, 1.000000, 0.099150, 0.999996, 0.099152, 0.999984, 0.099156, + 0.999947, 0.099167, 0.999874, 0.099191, 0.999739, 0.099233, 0.999514, 0.099298, 0.999159, + 0.099388, 0.998586, 0.099484, 0.995731, 0.098842, 0.993384, 0.098276, 0.991615, 0.097927, + 0.989029, 0.097343, 0.985373, 0.096354, 0.981278, 0.095231, 0.975777, 0.093623, 0.970526, + 0.092022, 0.963755, 0.089891, 0.956676, 0.087606, 0.948099, 0.084775, 0.939718, 0.081864, + 0.931305, 0.078857, 0.922342, 0.075613, 0.912842, 0.072147, 0.903304, 0.068619, 0.894110, + 0.065059, 0.885512, 0.061602, 0.877193, 0.058243, 0.868770, 0.054898, 0.860267, 0.051610, + 0.851915, 0.048468, 0.843912, 0.045445, 0.836040, 0.042561, 0.828245, 0.039875, 0.820159, + 0.037320, 0.811670, 0.034916, 0.802659, 0.032640, 0.793921, 0.030490, 0.784713, 0.028486, + 0.774946, 0.026619, 0.764480, 0.024859, 0.753793, 0.023211, 0.743506, 0.021704, 0.732555, + 0.020284, 0.720965, 0.018965, 0.709422, 0.017719, 0.697756, 0.016563, 0.685565, 0.015483, + 0.673987, 0.014489, 0.662440, 0.013561, 0.651675, 0.012696, 0.641598, 0.011879, 0.631210, + 0.011126, 0.620514, 0.010437, 0.609366, 0.009787, 0.598137, 0.009173, 0.586966, 0.008598, + 0.575549, 0.008068, 0.563797, 0.007573, 0.551758, 0.007106, 0.539894, 0.006684, 0.527901, + 0.006279, 0.515819, 0.005905, 1.000000, 0.120864, 1.000000, 0.120864, 0.999996, 0.120864, + 0.999980, 0.120867, 0.999940, 0.120872, 0.999852, 0.120884, 0.999693, 0.120903, 0.999426, + 0.120929, 0.999002, 0.120955, 0.998235, 0.120918, 0.994608, 0.119764, 0.992997, 0.119265, + 0.990968, 0.118630, 0.987002, 0.117261, 0.983524, 0.116009, 0.978750, 0.114252, 0.972652, + 0.111930, 0.966613, 0.109555, 0.959275, 0.106612, 0.951272, 0.103375, 0.942323, 0.099659, + 0.933679, 0.095884, 0.924822, 0.091926, 0.915742, 0.087806, 0.906348, 0.083489, 0.896883, + 0.079085, 0.887740, 0.074675, 0.879860, 0.070577, 0.871998, 0.066501, 0.864325, 0.062541, + 0.856685, 0.058678, 0.849250, 0.055006, 0.841719, 0.051473, 0.834755, 0.048140, 0.827853, + 0.045017, 0.820888, 0.042097, 0.813616, 0.039370, 0.805767, 0.036777, 0.797338, 0.034327, + 0.789122, 0.032053, 0.780601, 0.029948, 0.771424, 0.027981, 0.761502, 0.026105, 0.751166, + 0.024394, 0.741276, 0.022809, 0.730898, 0.021327, 0.719878, 0.019931, 0.708379, 0.018657, + 0.697165, 0.017445, 0.685554, 0.016314, 0.673631, 0.015276, 0.662385, 0.014300, 0.651059, + 0.013411, 0.640451, 0.012579, 0.630536, 0.011793, 0.620316, 0.011055, 0.609722, 0.010367, + 0.598804, 0.009730, 0.587871, 0.009128, 0.577121, 0.008589, 0.566019, 0.008073, 0.554664, + 0.007597, 0.543101, 0.007148, 0.531558, 0.006734, 1.000000, 0.146767, 1.000000, 0.146767, + 0.999997, 0.146767, 0.999977, 0.146765, 0.999929, 0.146762, 0.999823, 0.146753, 0.999633, + 0.146735, 0.999314, 0.146699, 0.998796, 0.146620, 0.997124, 0.146107, 0.994062, 0.144857, + 0.992154, 0.144011, 0.989186, 0.142712, 0.985279, 0.140926, 0.980826, 0.138850, 0.975056, + 0.136168, 0.969005, 0.133217, 0.961554, 0.129590, 0.954206, 0.125886, 0.945046, 0.121335, + 0.935678, 0.116492, 0.926748, 0.111635, 0.917764, 0.106625, 0.908358, 0.101325, 0.899219, + 0.096025, 0.890089, 0.090653, 0.881488, 0.085390, 0.874031, 0.080418, 0.866932, 0.075601, + 0.859976, 0.070902, 0.853375, 0.066439, 0.846971, 0.062201, 0.840483, 0.058129, 0.833969, + 0.054276, 0.828060, 0.050704, 0.822128, 0.047368, 0.815989, 0.044272, 0.809336, 0.041344, + 0.802177, 0.038601, 0.794410, 0.036023, 0.786573, 0.033638, 0.778619, 0.031432, 0.770000, + 0.029362, 0.760698, 0.027410, 0.750932, 0.025615, 0.740993, 0.023974, 0.731159, 0.022418, + 0.720836, 0.020989, 0.709913, 0.019641, 0.698415, 0.018382, 0.687450, 0.017222, 0.676154, + 0.016151, 0.664383, 0.015140, 0.653300, 0.014187, 0.642072, 0.013310, 0.631412, 0.012493, + 0.621622, 0.011741, 0.611681, 0.011036, 0.601420, 0.010377, 0.590830, 0.009756, 0.580254, + 0.009181, 0.569841, 0.008647, 0.559224, 0.008157, 0.548315, 0.007679, 1.000000, 0.177563, + 1.000000, 0.177563, 0.999994, 0.177562, 0.999972, 0.177555, 0.999914, 0.177536, 0.999787, + 0.177496, 0.999556, 0.177420, 0.999165, 0.177285, 0.998500, 0.177037, 0.995388, 0.175634, + 0.993102, 0.174375, 0.990992, 0.173121, 0.986932, 0.170896, 0.982786, 0.168470, 0.977592, + 0.165455, 0.971075, 0.161676, 0.963967, 0.157458, 0.956397, 0.152836, 0.947489, 0.147467, + 0.937564, 0.141450, 0.928182, 0.135383, 0.919027, 0.129212, 0.909618, 0.122760, 0.900492, + 0.116273, 0.891671, 0.109800, 0.883146, 0.103362, 0.875151, 0.097080, 0.868338, 0.091173, + 0.862033, 0.085497, 0.856107, 0.080069, 0.850644, 0.074962, 0.845261, 0.070079, 0.839885, + 0.065432, 0.834609, 0.061097, 0.829083, 0.056974, 0.824040, 0.053174, 0.818968, 0.049665, + 0.813496, 0.046386, 0.807533, 0.043322, 0.800990, 0.040440, 0.793891, 0.037758, 0.786281, + 0.035262, 0.778773, 0.032958, 0.770737, 0.030808, 0.762094, 0.028796, 0.752898, 0.026925, + 0.743306, 0.025193, 0.733416, 0.023595, 0.723742, 0.022115, 0.713542, 0.020744, 0.702755, + 0.019434, 0.691484, 0.018205, 0.680531, 0.017077, 0.669530, 0.016034, 0.658126, 0.015068, + 0.646933, 0.014155, 0.636107, 0.013318, 0.625271, 0.012528, 0.615225, 0.011794, 0.605678, + 0.011118, 0.595830, 0.010476, 0.585704, 0.009867, 0.575413, 0.009297, 0.565373, 0.008767, + 1.000000, 0.214058, 0.999999, 0.214058, 0.999994, 0.214055, 0.999966, 0.214039, 0.999893, + 0.213998, 0.999737, 0.213910, 0.999449, 0.213745, 0.998960, 0.213458, 0.997900, 0.212855, + 0.994278, 0.210779, 0.992254, 0.209260, 0.988810, 0.206908, 0.984715, 0.204009, 0.979738, + 0.200471, 0.972884, 0.195813, 0.965996, 0.190856, 0.957974, 0.185077, 0.949155, 0.178680, + 0.939288, 0.171513, 0.928996, 0.163838, 0.919563, 0.156246, 0.910004, 0.148359, 0.900791, + 0.140417, 0.892135, 0.132569, 0.883803, 0.124741, 0.876034, 0.117091, 0.869219, 0.109835, + 0.863062, 0.102859, 0.857795, 0.096293, 0.853009, 0.090072, 0.848603, 0.084210, 0.844335, + 0.078653, 0.840208, 0.073440, 0.836035, 0.068533, 0.831720, 0.063927, 0.827135, 0.059591, + 0.822797, 0.055620, 0.818387, 0.051939, 0.813565, 0.048532, 0.808142, 0.045314, 0.802212, + 0.042335, 0.795730, 0.039555, 0.788741, 0.036988, 0.781093, 0.034569, 0.773597, 0.032330, + 0.765622, 0.030272, 0.757083, 0.028348, 0.747992, 0.026556, 0.738591, 0.024884, 0.728719, + 0.023334, 0.719146, 0.021908, 0.709165, 0.020571, 0.698750, 0.019325, 0.687884, 0.018158, + 0.676818, 0.017075, 0.666247, 0.016072, 0.655284, 0.015126, 0.644010, 0.014256, 0.633353, + 0.013433, 0.622674, 0.012653, 0.612265, 0.011935, 0.602455, 0.011253, 0.593147, 0.010623, + 0.583592, 0.010021, 1.000000, 0.257170, 1.000000, 0.257170, 0.999992, 0.257164, 0.999958, + 0.257135, 0.999864, 0.257060, 0.999666, 0.256897, 0.999302, 0.256596, 0.998663, 0.256070, + 0.995607, 0.254123, 0.993094, 0.252081, 0.990700, 0.249867, 0.985940, 0.246118, 0.981214, + 0.242049, 0.974966, 0.236869, 0.967589, 0.230724, 0.959150, 0.223635, 0.950257, 0.215960, + 0.940165, 0.207296, 0.929396, 0.197901, 0.919288, 0.188437, 0.909428, 0.178762, 0.900105, + 0.169072, 0.891418, 0.159478, 0.883347, 0.150020, 0.875992, 0.140813, 0.869466, 0.131960, + 0.863699, 0.123501, 0.858553, 0.115436, 0.854379, 0.107901, 0.850894, 0.100880, 0.847632, + 0.094230, 0.844571, 0.087986, 0.841630, 0.082153, 0.838542, 0.076641, 0.835412, 0.071532, + 0.831899, 0.066688, 0.828177, 0.062218, 0.824160, 0.058045, 0.820393, 0.054267, 0.816068, + 0.050717, 0.811201, 0.047404, 0.805785, 0.044317, 0.799878, 0.041456, 0.793469, 0.038815, + 0.786473, 0.036345, 0.778874, 0.034022, 0.771277, 0.031860, 0.763426, 0.029886, 0.755044, + 0.028036, 0.746161, 0.026298, 0.737124, 0.024730, 0.727610, 0.023251, 0.717822, 0.021875, + 0.708279, 0.020594, 0.698333, 0.019395, 0.688020, 0.018272, 0.677321, 0.017204, 0.666504, + 0.016212, 0.656184, 0.015292, 0.645560, 0.014433, 0.634636, 0.013616, 0.624124, 0.012861, + 0.613914, 0.012143, 0.603589, 0.011489, 1.000000, 0.307946, 0.999999, 0.307945, 0.999988, + 0.307934, 0.999944, 0.307886, 0.999824, 0.307756, 0.999565, 0.307480, 0.999085, 0.306966, + 0.998103, 0.306004, 0.994249, 0.303028, 0.991807, 0.300435, 0.987773, 0.296554, 0.982673, + 0.291600, 0.976623, 0.285641, 0.968757, 0.278150, 0.959849, 0.269529, 0.950663, 0.260248, + 0.940129, 0.249704, 0.928950, 0.238291, 0.917996, 0.226501, 0.907813, 0.214669, 0.898305, + 0.202835, 0.889626, 0.191158, 0.881750, 0.179695, 0.874715, 0.168548, 0.868746, 0.157920, + 0.863703, 0.147807, 0.859315, 0.138149, 0.855538, 0.128993, 0.852428, 0.120414, 0.850168, + 0.112498, 0.848132, 0.105054, 0.846291, 0.098109, 0.844431, 0.091594, 0.842493, 0.085506, + 0.840368, 0.079820, 0.837980, 0.074510, 0.835230, 0.069542, 0.832091, 0.064909, 0.828667, + 0.060629, 0.824805, 0.056652, 0.820988, 0.053023, 0.816635, 0.049636, 0.811725, 0.046466, + 0.806316, 0.043508, 0.800469, 0.040787, 0.794107, 0.038255, 0.787218, 0.035882, 0.779872, + 0.033679, 0.772097, 0.031638, 0.764484, 0.029738, 0.756428, 0.027958, 0.748022, 0.026315, + 0.739268, 0.024780, 0.730240, 0.023339, 0.720893, 0.022003, 0.711190, 0.020755, 0.701791, + 0.019584, 0.692184, 0.018489, 0.682258, 0.017454, 0.672060, 0.016487, 0.661717, 0.015596, + 0.651462, 0.014752, 0.641467, 0.013973, 0.631229, 0.013236, 1.000000, 0.367573, 0.999999, + 0.367571, 0.999984, 0.367553, 0.999925, 0.367473, 0.999759, 0.367259, 0.999410, 0.366801, + 0.998739, 0.365946, 0.995529, 0.363191, 0.992875, 0.360171, 0.989135, 0.355981, 0.984166, + 0.350401, 0.977871, 0.343348, 0.969510, 0.334341, 0.959964, 0.323862, 0.950162, 0.312521, + 0.938882, 0.299577, 0.926992, 0.285573, 0.915589, 0.271212, 0.904791, 0.256611, 0.895177, + 0.242224, 0.886403, 0.227952, 0.878957, 0.214192, 0.872418, 0.200795, 0.867029, 0.188015, + 0.862835, 0.175975, 0.859411, 0.164526, 0.856655, 0.153693, 0.854519, 0.143520, 0.852828, + 0.133970, 0.851412, 0.124984, 0.850609, 0.116748, 0.849855, 0.109050, 0.849017, 0.101839, + 0.848079, 0.095136, 0.846911, 0.088877, 0.845445, 0.083038, 0.843620, 0.077584, 0.841411, + 0.072505, 0.838768, 0.067769, 0.835801, 0.063402, 0.832341, 0.059310, 0.828424, 0.055512, + 0.824312, 0.052024, 0.819918, 0.048786, 0.815072, 0.045780, 0.809863, 0.043018, 0.804164, + 0.040425, 0.798034, 0.038015, 0.791436, 0.035744, 0.784498, 0.033647, 0.777125, 0.031667, + 0.769365, 0.029812, 0.761579, 0.028100, 0.753746, 0.026505, 0.745573, 0.025007, 0.737083, + 0.023603, 0.728545, 0.022330, 0.719691, 0.021124, 0.710569, 0.019998, 0.701216, 0.018957, + 0.692094, 0.017970, 0.682909, 0.017042, 0.673509, 0.016173, 0.663863, 0.015341, 1.000000, + 0.437395, 0.999998, 0.437394, 0.999980, 0.437363, 0.999891, 0.437232, 0.999656, 0.436877, + 0.999148, 0.436121, 0.997959, 0.434564, 0.993464, 0.430134, 0.990606, 0.426077, 0.985027, + 0.419397, 0.978491, 0.411180, 0.969643, 0.400480, 0.959189, 0.387690, 0.948223, 0.373575, + 0.935955, 0.357622, 0.923237, 0.340430, 0.911074, 0.322735, 0.899724, 0.304790, 0.890189, + 0.287392, 0.881796, 0.270248, 0.874781, 0.253659, 0.869166, 0.237786, 0.864725, 0.222618, + 0.861565, 0.208356, 0.859284, 0.194867, 0.857677, 0.182120, 0.856714, 0.170180, 0.856155, + 0.158969, 0.855800, 0.148413, 0.855672, 0.138578, 0.855538, 0.129345, 0.855689, 0.120861, + 0.855767, 0.112969, 0.855618, 0.105593, 0.855250, 0.098745, 0.854583, 0.092373, 0.853534, + 0.086414, 0.852061, 0.080834, 0.850253, 0.075677, 0.848004, 0.070861, 0.845333, 0.066378, + 0.842376, 0.062263, 0.838956, 0.058411, 0.835121, 0.054833, 0.830842, 0.051484, 0.826212, + 0.048355, 0.821522, 0.045471, 0.816551, 0.042826, 0.811211, 0.040361, 0.805479, 0.038039, + 0.799409, 0.035874, 0.793060, 0.033873, 0.786395, 0.031998, 0.779416, 0.030241, 0.772140, + 0.028595, 0.764636, 0.027075, 0.756836, 0.025635, 0.749315, 0.024303, 0.741561, 0.023050, + 0.733589, 0.021880, 0.725479, 0.020784, 0.717255, 0.019770, 0.708829, 0.018817, 0.700191, + 0.017911, 1.000000, 0.518937, 0.999998, 0.518933, 0.999967, 0.518883, 0.999832, 0.518660, + 0.999466, 0.518057, 0.998644, 0.516752, 0.994458, 0.512347, 0.991223, 0.507675, 0.985515, + 0.500188, 0.978308, 0.490408, 0.968359, 0.477357, 0.956820, 0.461752, 0.943929, 0.443796, + 0.930224, 0.423893, 0.916514, 0.402682, 0.903653, 0.380914, 0.892315, 0.359212, 0.882942, + 0.338102, 0.875438, 0.317730, 0.869642, 0.298186, 0.865304, 0.279491, 0.862382, 0.261804, + 0.860666, 0.245146, 0.859788, 0.229406, 0.859608, 0.214605, 0.859912, 0.200691, 0.860530, + 0.187623, 0.861368, 0.175390, 0.862237, 0.163901, 0.863127, 0.153175, 0.863923, 0.143147, + 0.864567, 0.133781, 0.865013, 0.125042, 0.865390, 0.116952, 0.865591, 0.109476, 0.865517, + 0.102542, 0.865084, 0.096069, 0.864309, 0.090050, 0.863151, 0.084433, 0.861649, 0.079222, + 0.859742, 0.074348, 0.857446, 0.069796, 0.854757, 0.065536, 0.851783, 0.061608, 0.848516, + 0.057970, 0.844897, 0.054574, 0.840956, 0.051417, 0.836676, 0.048460, 0.832075, 0.045693, + 0.827191, 0.043118, 0.822295, 0.040772, 0.817294, 0.038603, 0.812013, 0.036568, 0.806465, + 0.034655, 0.800691, 0.032872, 0.794709, 0.031211, 0.788493, 0.029650, 0.782049, 0.028178, + 0.775403, 0.026797, 0.768570, 0.025500, 0.761536, 0.024276, 0.754303, 0.023114, 0.746920, + 0.022031, 0.739745, 0.021019, 1.000000, 0.613914, 0.999996, 0.613907, 0.999942, 0.613814, + 0.999704, 0.613407, 0.999046, 0.612302, 0.995516, 0.608266, 0.991726, 0.602863, 0.985157, + 0.593956, 0.976420, 0.581748, 0.964404, 0.565183, 0.950601, 0.545273, 0.935158, 0.522129, + 0.919364, 0.496782, 0.904754, 0.470571, 0.891760, 0.444037, 0.881492, 0.418322, 0.873656, + 0.393522, 0.868053, 0.369795, 0.864336, 0.347171, 0.862259, 0.325737, 0.861556, 0.305532, + 0.861776, 0.286416, 0.862661, 0.268355, 0.864015, 0.251334, 0.865711, 0.235352, 0.867519, + 0.220302, 0.869351, 0.206161, 0.871144, 0.192908, 0.872839, 0.180505, 0.874307, 0.168848, + 0.875667, 0.158021, 0.876758, 0.147877, 0.877640, 0.138441, 0.878237, 0.129627, 0.878563, + 0.121415, 0.878572, 0.113741, 0.878420, 0.106652, 0.878057, 0.100097, 0.877413, 0.094013, + 0.876460, 0.088346, 0.875233, 0.083092, 0.873700, 0.078198, 0.871873, 0.073640, 0.869780, + 0.069410, 0.867405, 0.065470, 0.864751, 0.061791, 0.861818, 0.058349, 0.858645, 0.055144, + 0.855307, 0.052189, 0.851736, 0.049433, 0.847927, 0.046850, 0.843888, 0.044426, 0.839629, + 0.042150, 0.835158, 0.040008, 0.830509, 0.038008, 0.825714, 0.036149, 0.820729, 0.034396, + 0.815751, 0.032778, 0.810752, 0.031275, 0.805587, 0.029854, 0.800317, 0.028540, 0.794890, + 0.027295, 0.789314, 0.026114, 0.783593, 0.024994, 1.000000, 0.724258, 0.999992, 0.724243, + 0.999870, 0.724044, 0.999336, 0.723170, 0.996271, 0.719432, 0.991159, 0.712576, 0.982465, + 0.700927, 0.970490, 0.684297, 0.953973, 0.661244, 0.935546, 0.633804, 0.916596, 0.603071, + 0.899353, 0.571050, 0.885216, 0.539206, 0.875076, 0.508714, 0.868334, 0.479571, 0.864414, + 0.451796, 0.862678, 0.425328, 0.862835, 0.400352, 0.864067, 0.376532, 0.866086, 0.353910, + 0.868557, 0.332424, 0.871271, 0.312053, 0.874058, 0.292764, 0.876800, 0.274530, 0.879390, + 0.257297, 0.881900, 0.241140, 0.884187, 0.225934, 0.886262, 0.211669, 0.888119, 0.198311, + 0.889709, 0.185783, 0.891054, 0.174063, 0.892196, 0.163143, 0.893101, 0.152952, 0.893803, + 0.143475, 0.894277, 0.134647, 0.894532, 0.126434, 0.894576, 0.118800, 0.894393, 0.111694, + 0.893976, 0.105069, 0.893346, 0.098908, 0.892502, 0.093172, 0.891441, 0.087828, 0.890276, + 0.082903, 0.888972, 0.078351, 0.887469, 0.074108, 0.885785, 0.070163, 0.883914, 0.066484, + 0.881872, 0.063057, 0.879651, 0.059853, 0.877267, 0.056862, 0.874717, 0.054060, 0.872012, + 0.051438, 0.869157, 0.048981, 0.866155, 0.046673, 0.863014, 0.044506, 0.859748, 0.042473, + 0.856416, 0.040596, 0.852958, 0.038827, 0.849382, 0.037162, 0.845694, 0.035596, 0.841893, + 0.034115, 0.837981, 0.032714, 0.833963, 0.031386, 0.829847, 0.030128, 1.000000, 0.852140, + 0.999969, 0.852095, 0.999483, 0.851408, 0.994545, 0.845790, 0.986188, 0.835231, 0.969847, + 0.814687, 0.945951, 0.783735, 0.919170, 0.746074, 0.895488, 0.706938, 0.878232, 0.669534, + 0.868252, 0.635168, 0.863873, 0.603069, 0.863369, 0.572514, 0.865450, 0.543169, 0.868803, + 0.514578, 0.872794, 0.486762, 0.877020, 0.459811, 0.881054, 0.433654, 0.884974, 0.408574, + 0.888587, 0.384525, 0.891877, 0.361560, 0.894793, 0.339661, 0.897430, 0.318913, 0.899796, + 0.299302, 0.901943, 0.280843, 0.903858, 0.263481, 0.905574, 0.247197, 0.907069, 0.231915, + 0.908379, 0.217614, 0.909520, 0.204250, 0.910483, 0.191758, 0.911280, 0.180092, 0.911936, + 0.169222, 0.912454, 0.159098, 0.912835, 0.149668, 0.913078, 0.140884, 0.913192, 0.132709, + 0.913175, 0.125095, 0.913040, 0.118012, 0.912781, 0.111417, 0.912410, 0.105281, 0.911924, + 0.099569, 0.911331, 0.094253, 0.910637, 0.089308, 0.909840, 0.084700, 0.908941, 0.080404, + 0.907944, 0.076398, 0.906857, 0.072664, 0.905680, 0.069178, 0.904416, 0.065922, 0.903067, + 0.062878, 0.901637, 0.060031, 0.900128, 0.057365, 0.898544, 0.054867, 0.896890, 0.052527, + 0.895165, 0.050331, 0.893371, 0.048267, 0.891572, 0.046360, 0.889763, 0.044600, 0.887894, + 0.042945, 0.885967, 0.041388, 0.883984, 0.039922, 0.881945, 0.038540, 0.879854, 0.037236, + 0.999804, 0.995833, 0.938155, 0.933611, 0.864755, 0.854311, 0.888594, 0.865264, 0.905575, + 0.863922, 0.915125, 0.850558, 0.920665, 0.829254, 0.924073, 0.802578, 0.926304, 0.772211, + 0.927829, 0.739366, 0.928924, 0.705033, 0.929730, 0.670019, 0.930339, 0.634993, 0.930811, + 0.600485, 0.931191, 0.566897, 0.931490, 0.534485, 0.931737, 0.503429, 0.931939, 0.473811, + 0.932108, 0.445668, 0.932250, 0.418993, 0.932371, 0.393762, 0.932474, 0.369939, 0.932562, + 0.347479, 0.932638, 0.326336, 0.932703, 0.306462, 0.932760, 0.287805, 0.932809, 0.270313, + 0.932851, 0.253933, 0.932887, 0.238610, 0.932917, 0.224289, 0.932943, 0.210917, 0.932965, + 0.198440, 0.932982, 0.186807, 0.932995, 0.175966, 0.933005, 0.165869, 0.933011, 0.156468, + 0.933013, 0.147719, 0.933013, 0.139579, 0.933010, 0.132007, 0.933004, 0.124965, 0.932994, + 0.118416, 0.932982, 0.112326, 0.932968, 0.106663, 0.932950, 0.101397, 0.932931, 0.096499, + 0.932908, 0.091944, 0.932883, 0.087706, 0.932856, 0.083762, 0.932827, 0.080092, 0.932796, + 0.076675, 0.932762, 0.073494, 0.932727, 0.070530, 0.932689, 0.067768, 0.932650, 0.065193, + 0.932609, 0.062792, 0.932565, 0.060552, 0.932521, 0.058461, 0.932474, 0.056508, 0.932427, + 0.054684, 0.932377, 0.052979, 0.932326, 0.051385, 0.932274, 0.049894, 0.932220, 0.048497, + 0.932164, 0.047190, }; static float bsdf_split_sum_ggx[64 * 64 * 2] = { - 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, - 1.000000f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, - 0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000001f, - 0.998047f, 0.000001f, 0.997559f, 0.000002f, 0.997070f, 0.000003f, 0.996094f, 0.000004f, - 0.994629f, 0.000004f, 0.993652f, 0.000006f, 0.991699f, 0.000007f, 0.989746f, 0.000008f, - 0.987305f, 0.000010f, 0.984375f, 0.000012f, 0.980957f, 0.000013f, 0.977539f, 0.000016f, - 0.973145f, 0.000018f, 0.967773f, 0.000020f, 0.961914f, 0.000023f, 0.955566f, 0.000025f, - 0.947754f, 0.000028f, 0.939941f, 0.000031f, 0.930664f, 0.000033f, 0.920410f, 0.000036f, - 0.909180f, 0.000039f, 0.896973f, 0.000042f, 0.884277f, 0.000044f, 0.870117f, 0.000047f, - 0.854980f, 0.000049f, 0.838867f, 0.000051f, 0.821777f, 0.000053f, 0.803711f, 0.000055f, - 0.785156f, 0.000057f, 0.765625f, 0.000058f, 0.745605f, 0.000059f, 0.724609f, 0.000060f, - 0.703613f, 0.000061f, 0.681641f, 0.000061f, 0.659668f, 0.000061f, 0.637695f, 0.000061f, - 0.615234f, 0.000061f, 0.592773f, 0.000060f, 0.570801f, 0.000060f, 0.548340f, 0.000059f, - 0.526855f, 0.000058f, 0.504883f, 0.000057f, 0.483887f, 0.000055f, 0.462891f, 0.000054f, - 0.442627f, 0.000053f, 0.422607f, 0.000051f, 0.403320f, 0.000050f, 0.384766f, 0.000048f, - 0.366455f, 0.000046f, 0.348877f, 0.000045f, 0.332031f, 0.000043f, 0.315918f, 0.000041f, - 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, - 0.999512f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, - 0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000002f, - 0.998047f, 0.000003f, 0.997559f, 0.000004f, 0.997070f, 0.000005f, 0.996094f, 0.000006f, - 0.994629f, 0.000008f, 0.993164f, 0.000010f, 0.991699f, 0.000012f, 0.989746f, 0.000015f, - 0.987305f, 0.000018f, 0.984375f, 0.000020f, 0.980957f, 0.000024f, 0.977051f, 0.000027f, - 0.972168f, 0.000031f, 0.967285f, 0.000035f, 0.961426f, 0.000039f, 0.954590f, 0.000043f, - 0.947266f, 0.000048f, 0.938965f, 0.000052f, 0.929199f, 0.000057f, 0.919434f, 0.000061f, - 0.908203f, 0.000065f, 0.895996f, 0.000069f, 0.882812f, 0.000073f, 0.868652f, 0.000077f, - 0.853027f, 0.000080f, 0.837402f, 0.000083f, 0.820312f, 0.000086f, 0.802246f, 0.000088f, - 0.783691f, 0.000090f, 0.764160f, 0.000092f, 0.744141f, 0.000093f, 0.723633f, 0.000093f, - 0.702637f, 0.000094f, 0.681152f, 0.000094f, 0.659180f, 0.000093f, 0.637207f, 0.000093f, - 0.615234f, 0.000091f, 0.593262f, 0.000090f, 0.571289f, 0.000088f, 0.549316f, 0.000087f, - 0.527344f, 0.000085f, 0.505859f, 0.000082f, 0.485107f, 0.000080f, 0.464355f, 0.000078f, - 0.444336f, 0.000075f, 0.424561f, 0.000072f, 0.405273f, 0.000070f, 0.386719f, 0.000067f, - 0.368652f, 0.000065f, 0.351318f, 0.000062f, 0.334473f, 0.000059f, 0.318115f, 0.000057f, - 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f, - 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000001f, 0.999512f, 0.000001f, - 0.999512f, 0.000001f, 0.999512f, 0.000003f, 0.999023f, 0.000002f, 0.998535f, 0.000004f, - 0.998047f, 0.000005f, 0.997559f, 0.000007f, 0.997070f, 0.000009f, 0.996094f, 0.000011f, - 0.994629f, 0.000013f, 0.993164f, 0.000017f, 0.991211f, 0.000020f, 0.989258f, 0.000024f, - 0.986816f, 0.000028f, 0.983887f, 0.000033f, 0.980469f, 0.000038f, 0.976562f, 0.000043f, - 0.971680f, 0.000049f, 0.966797f, 0.000055f, 0.960449f, 0.000062f, 0.953613f, 0.000068f, - 0.946289f, 0.000075f, 0.937500f, 0.000081f, 0.928223f, 0.000088f, 0.917969f, 0.000094f, - 0.906738f, 0.000100f, 0.894531f, 0.000106f, 0.880859f, 0.000111f, 0.866699f, 0.000116f, - 0.851562f, 0.000120f, 0.835449f, 0.000124f, 0.818359f, 0.000127f, 0.800781f, 0.000130f, - 0.782227f, 0.000132f, 0.762695f, 0.000134f, 0.742676f, 0.000134f, 0.722656f, 0.000135f, - 0.701660f, 0.000134f, 0.680176f, 0.000133f, 0.658691f, 0.000132f, 0.636719f, 0.000130f, - 0.615234f, 0.000128f, 0.593262f, 0.000125f, 0.571289f, 0.000123f, 0.549805f, 0.000119f, - 0.528320f, 0.000116f, 0.507324f, 0.000112f, 0.486328f, 0.000109f, 0.466064f, 0.000105f, - 0.446045f, 0.000101f, 0.426514f, 0.000097f, 0.407471f, 0.000093f, 0.388916f, 0.000089f, - 0.370850f, 0.000085f, 0.353516f, 0.000082f, 0.336914f, 0.000078f, 0.320557f, 0.000074f, - 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, - 1.000000f, 0.000000f, 1.000000f, 0.000001f, 0.999512f, 0.000001f, 0.999512f, 0.000002f, - 0.999512f, 0.000002f, 0.999023f, 0.000003f, 0.999023f, 0.000005f, 0.998535f, 0.000006f, - 0.998535f, 0.000008f, 0.997559f, 0.000011f, 0.997070f, 0.000014f, 0.996094f, 0.000017f, - 0.994629f, 0.000020f, 0.993164f, 0.000026f, 0.991211f, 0.000030f, 0.989258f, 0.000036f, - 0.986816f, 0.000043f, 0.983398f, 0.000050f, 0.979980f, 0.000058f, 0.976074f, 0.000066f, - 0.971191f, 0.000074f, 0.965820f, 0.000082f, 0.959961f, 0.000093f, 0.952637f, 0.000101f, - 0.945312f, 0.000111f, 0.936523f, 0.000120f, 0.927246f, 0.000129f, 0.916504f, 0.000137f, - 0.905273f, 0.000145f, 0.892578f, 0.000153f, 0.879395f, 0.000160f, 0.865234f, 0.000166f, - 0.850098f, 0.000171f, 0.833984f, 0.000176f, 0.816895f, 0.000179f, 0.799316f, 0.000182f, - 0.780762f, 0.000184f, 0.761230f, 0.000185f, 0.741699f, 0.000185f, 0.721191f, 0.000184f, - 0.700684f, 0.000183f, 0.679688f, 0.000181f, 0.658203f, 0.000178f, 0.636719f, 0.000175f, - 0.615234f, 0.000171f, 0.593262f, 0.000167f, 0.571777f, 0.000162f, 0.550293f, 0.000158f, - 0.529297f, 0.000152f, 0.508301f, 0.000147f, 0.487793f, 0.000142f, 0.467529f, 0.000136f, - 0.447754f, 0.000131f, 0.428223f, 0.000125f, 0.409424f, 0.000120f, 0.391113f, 0.000115f, - 0.373291f, 0.000109f, 0.355957f, 0.000104f, 0.339355f, 0.000099f, 0.323242f, 0.000094f, - 0.999512f, 0.000002f, 0.999512f, 0.000002f, 1.000000f, 0.000002f, 0.999512f, 0.000002f, - 1.000000f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000003f, - 0.999512f, 0.000004f, 0.999512f, 0.000005f, 0.999023f, 0.000007f, 0.998535f, 0.000010f, - 0.998047f, 0.000012f, 0.997559f, 0.000017f, 0.996582f, 0.000020f, 0.995605f, 0.000025f, - 0.994629f, 0.000032f, 0.993164f, 0.000038f, 0.991211f, 0.000047f, 0.988770f, 0.000055f, - 0.986328f, 0.000063f, 0.983398f, 0.000074f, 0.979492f, 0.000085f, 0.975586f, 0.000095f, - 0.970703f, 0.000108f, 0.965332f, 0.000121f, 0.958984f, 0.000132f, 0.952148f, 0.000145f, - 0.944336f, 0.000157f, 0.935547f, 0.000170f, 0.925781f, 0.000181f, 0.915039f, 0.000192f, - 0.903809f, 0.000203f, 0.891113f, 0.000212f, 0.877930f, 0.000220f, 0.863281f, 0.000227f, - 0.848145f, 0.000234f, 0.832031f, 0.000239f, 0.814941f, 0.000242f, 0.797363f, 0.000245f, - 0.778809f, 0.000247f, 0.759766f, 0.000247f, 0.740234f, 0.000246f, 0.720215f, 0.000244f, - 0.699707f, 0.000241f, 0.678711f, 0.000237f, 0.657715f, 0.000233f, 0.636230f, 0.000228f, - 0.614746f, 0.000222f, 0.593750f, 0.000216f, 0.572266f, 0.000209f, 0.551270f, 0.000202f, - 0.530273f, 0.000195f, 0.509277f, 0.000187f, 0.489014f, 0.000180f, 0.468994f, 0.000172f, - 0.449463f, 0.000165f, 0.430176f, 0.000157f, 0.411377f, 0.000150f, 0.393311f, 0.000143f, - 0.375488f, 0.000136f, 0.358398f, 0.000129f, 0.341797f, 0.000123f, 0.325684f, 0.000116f, - 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000005f, - 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000006f, 0.999512f, 0.000007f, - 0.999512f, 0.000008f, 0.999512f, 0.000011f, 0.999023f, 0.000013f, 0.998535f, 0.000015f, - 0.998047f, 0.000019f, 0.997559f, 0.000026f, 0.996582f, 0.000033f, 0.995605f, 0.000040f, - 0.994141f, 0.000047f, 0.993164f, 0.000058f, 0.991211f, 0.000069f, 0.988770f, 0.000080f, - 0.985840f, 0.000093f, 0.982910f, 0.000106f, 0.979004f, 0.000121f, 0.975098f, 0.000137f, - 0.970215f, 0.000153f, 0.964355f, 0.000169f, 0.958008f, 0.000186f, 0.951172f, 0.000201f, - 0.943359f, 0.000218f, 0.934082f, 0.000233f, 0.924316f, 0.000248f, 0.914062f, 0.000262f, - 0.902344f, 0.000275f, 0.889648f, 0.000286f, 0.875977f, 0.000295f, 0.861816f, 0.000304f, - 0.846680f, 0.000311f, 0.830566f, 0.000316f, 0.813477f, 0.000319f, 0.795898f, 0.000321f, - 0.777344f, 0.000322f, 0.758301f, 0.000320f, 0.739258f, 0.000318f, 0.719238f, 0.000314f, - 0.698730f, 0.000309f, 0.678223f, 0.000303f, 0.657227f, 0.000296f, 0.636230f, 0.000288f, - 0.614746f, 0.000280f, 0.593750f, 0.000271f, 0.572754f, 0.000262f, 0.551758f, 0.000252f, - 0.531250f, 0.000243f, 0.510742f, 0.000233f, 0.490479f, 0.000223f, 0.470703f, 0.000213f, - 0.451172f, 0.000203f, 0.432129f, 0.000194f, 0.413574f, 0.000184f, 0.395508f, 0.000175f, - 0.377930f, 0.000166f, 0.360840f, 0.000157f, 0.344238f, 0.000149f, 0.328125f, 0.000141f, - 0.999512f, 0.000011f, 0.999512f, 0.000011f, 0.999512f, 0.000011f, 0.999512f, 0.000011f, - 0.999512f, 0.000011f, 0.999512f, 0.000012f, 0.999512f, 0.000014f, 0.999512f, 0.000015f, - 0.999512f, 0.000017f, 0.999023f, 0.000020f, 0.998535f, 0.000022f, 0.998535f, 0.000028f, - 0.998047f, 0.000034f, 0.997559f, 0.000042f, 0.996582f, 0.000050f, 0.995605f, 0.000060f, - 0.994141f, 0.000072f, 0.992676f, 0.000084f, 0.990723f, 0.000099f, 0.988281f, 0.000115f, - 0.985840f, 0.000133f, 0.982422f, 0.000150f, 0.978516f, 0.000171f, 0.974609f, 0.000191f, - 0.969238f, 0.000211f, 0.963867f, 0.000232f, 0.957520f, 0.000253f, 0.950195f, 0.000274f, - 0.941895f, 0.000294f, 0.933105f, 0.000314f, 0.922852f, 0.000332f, 0.912109f, 0.000348f, - 0.900879f, 0.000363f, 0.888184f, 0.000377f, 0.874512f, 0.000387f, 0.859863f, 0.000397f, - 0.844727f, 0.000404f, 0.828613f, 0.000408f, 0.811523f, 0.000411f, 0.793945f, 0.000412f, - 0.775879f, 0.000411f, 0.756836f, 0.000407f, 0.737793f, 0.000403f, 0.717773f, 0.000396f, - 0.697754f, 0.000389f, 0.677246f, 0.000380f, 0.656738f, 0.000370f, 0.635742f, 0.000359f, - 0.614746f, 0.000347f, 0.594238f, 0.000335f, 0.573242f, 0.000323f, 0.552734f, 0.000310f, - 0.532227f, 0.000297f, 0.511719f, 0.000284f, 0.491943f, 0.000272f, 0.472412f, 0.000259f, - 0.453125f, 0.000246f, 0.434082f, 0.000234f, 0.415771f, 0.000222f, 0.397705f, 0.000211f, - 0.380127f, 0.000199f, 0.363281f, 0.000189f, 0.346680f, 0.000178f, 0.330811f, 0.000168f, - 0.999512f, 0.000022f, 0.999512f, 0.000022f, 0.999512f, 0.000022f, 0.999512f, 0.000022f, - 0.999512f, 0.000023f, 0.999512f, 0.000025f, 0.999512f, 0.000024f, 0.999512f, 0.000028f, - 0.999023f, 0.000030f, 0.999023f, 0.000035f, 0.999023f, 0.000040f, 0.998535f, 0.000046f, - 0.998047f, 0.000056f, 0.997559f, 0.000063f, 0.996094f, 0.000077f, 0.995605f, 0.000089f, - 0.994141f, 0.000106f, 0.992188f, 0.000123f, 0.990234f, 0.000143f, 0.987793f, 0.000163f, - 0.985352f, 0.000185f, 0.981934f, 0.000211f, 0.978027f, 0.000236f, 0.973633f, 0.000261f, - 0.968750f, 0.000288f, 0.962891f, 0.000314f, 0.956055f, 0.000341f, 0.949219f, 0.000366f, - 0.940918f, 0.000391f, 0.931641f, 0.000414f, 0.921875f, 0.000436f, 0.910645f, 0.000455f, - 0.898926f, 0.000471f, 0.886230f, 0.000487f, 0.872559f, 0.000499f, 0.858398f, 0.000509f, - 0.842773f, 0.000515f, 0.826660f, 0.000518f, 0.810059f, 0.000520f, 0.792480f, 0.000519f, - 0.774414f, 0.000515f, 0.755371f, 0.000509f, 0.736328f, 0.000501f, 0.716797f, 0.000492f, - 0.696777f, 0.000480f, 0.676758f, 0.000468f, 0.656250f, 0.000454f, 0.635742f, 0.000439f, - 0.615234f, 0.000424f, 0.594238f, 0.000408f, 0.573730f, 0.000392f, 0.553223f, 0.000375f, - 0.533203f, 0.000359f, 0.513184f, 0.000342f, 0.493408f, 0.000326f, 0.474121f, 0.000310f, - 0.455078f, 0.000294f, 0.436279f, 0.000279f, 0.417969f, 0.000264f, 0.400146f, 0.000250f, - 0.382812f, 0.000237f, 0.365723f, 0.000223f, 0.349365f, 0.000211f, 0.333496f, 0.000199f, - 0.999512f, 0.000041f, 0.999512f, 0.000041f, 0.999512f, 0.000041f, 0.999512f, 0.000042f, - 0.999512f, 0.000042f, 0.999512f, 0.000044f, 0.999512f, 0.000046f, 0.999512f, 0.000049f, - 0.999512f, 0.000054f, 0.999512f, 0.000059f, 0.999023f, 0.000065f, 0.998535f, 0.000076f, - 0.998047f, 0.000087f, 0.997070f, 0.000098f, 0.996582f, 0.000117f, 0.995117f, 0.000135f, - 0.993652f, 0.000152f, 0.992188f, 0.000176f, 0.989746f, 0.000201f, 0.987793f, 0.000228f, - 0.984863f, 0.000256f, 0.981445f, 0.000286f, 0.977539f, 0.000318f, 0.973145f, 0.000352f, - 0.967773f, 0.000384f, 0.961914f, 0.000417f, 0.955566f, 0.000451f, 0.947754f, 0.000481f, - 0.939453f, 0.000510f, 0.930176f, 0.000537f, 0.919922f, 0.000563f, 0.909180f, 0.000585f, - 0.897461f, 0.000604f, 0.884766f, 0.000620f, 0.871094f, 0.000632f, 0.856445f, 0.000641f, - 0.841309f, 0.000647f, 0.825195f, 0.000648f, 0.808105f, 0.000648f, 0.790527f, 0.000643f, - 0.772949f, 0.000637f, 0.754395f, 0.000627f, 0.735352f, 0.000615f, 0.715820f, 0.000601f, - 0.695801f, 0.000585f, 0.675781f, 0.000568f, 0.655762f, 0.000550f, 0.635742f, 0.000530f, - 0.615234f, 0.000510f, 0.594727f, 0.000490f, 0.574707f, 0.000469f, 0.554199f, 0.000448f, - 0.534180f, 0.000428f, 0.514648f, 0.000407f, 0.495117f, 0.000387f, 0.475830f, 0.000367f, - 0.456787f, 0.000348f, 0.438232f, 0.000329f, 0.420166f, 0.000311f, 0.402344f, 0.000294f, - 0.385254f, 0.000277f, 0.368408f, 0.000262f, 0.352051f, 0.000246f, 0.336182f, 0.000232f, - 0.999512f, 0.000072f, 0.999512f, 0.000072f, 0.999512f, 0.000072f, 0.999512f, 0.000072f, - 0.999512f, 0.000073f, 0.999512f, 0.000076f, 0.999512f, 0.000078f, 0.999512f, 0.000082f, - 0.999023f, 0.000086f, 0.999023f, 0.000095f, 0.998535f, 0.000102f, 0.998047f, 0.000116f, - 0.998047f, 0.000131f, 0.997070f, 0.000147f, 0.996094f, 0.000167f, 0.995117f, 0.000195f, - 0.993652f, 0.000219f, 0.991699f, 0.000246f, 0.989746f, 0.000278f, 0.987305f, 0.000315f, - 0.984375f, 0.000350f, 0.980957f, 0.000385f, 0.976562f, 0.000427f, 0.972168f, 0.000467f, - 0.967285f, 0.000509f, 0.960938f, 0.000548f, 0.954102f, 0.000587f, 0.946777f, 0.000623f, - 0.937988f, 0.000657f, 0.928711f, 0.000690f, 0.918457f, 0.000718f, 0.907715f, 0.000741f, - 0.895508f, 0.000762f, 0.882812f, 0.000778f, 0.869141f, 0.000791f, 0.854492f, 0.000798f, - 0.839355f, 0.000802f, 0.823242f, 0.000801f, 0.806152f, 0.000796f, 0.789062f, 0.000788f, - 0.770996f, 0.000777f, 0.752930f, 0.000762f, 0.733887f, 0.000745f, 0.714844f, 0.000726f, - 0.695312f, 0.000704f, 0.675293f, 0.000682f, 0.655273f, 0.000658f, 0.635254f, 0.000633f, - 0.615234f, 0.000607f, 0.595215f, 0.000582f, 0.575195f, 0.000556f, 0.555176f, 0.000530f, - 0.535645f, 0.000504f, 0.515625f, 0.000479f, 0.496582f, 0.000455f, 0.477539f, 0.000431f, - 0.458984f, 0.000407f, 0.440430f, 0.000385f, 0.422363f, 0.000363f, 0.404785f, 0.000343f, - 0.387695f, 0.000323f, 0.370850f, 0.000304f, 0.354736f, 0.000286f, 0.338867f, 0.000268f, - 0.999512f, 0.000119f, 0.999512f, 0.000119f, 0.999512f, 0.000119f, 0.999512f, 0.000119f, - 0.999512f, 0.000121f, 0.999512f, 0.000122f, 0.999512f, 0.000128f, 0.999512f, 0.000131f, - 0.999512f, 0.000139f, 0.999023f, 0.000149f, 0.998535f, 0.000161f, 0.998047f, 0.000179f, - 0.998047f, 0.000194f, 0.997070f, 0.000220f, 0.996094f, 0.000247f, 0.994629f, 0.000275f, - 0.993652f, 0.000309f, 0.991699f, 0.000344f, 0.989746f, 0.000385f, 0.986816f, 0.000429f, - 0.983887f, 0.000471f, 0.980469f, 0.000519f, 0.976074f, 0.000565f, 0.971680f, 0.000614f, - 0.966309f, 0.000664f, 0.959961f, 0.000710f, 0.953125f, 0.000754f, 0.945312f, 0.000797f, - 0.936523f, 0.000837f, 0.927246f, 0.000873f, 0.916992f, 0.000902f, 0.905762f, 0.000929f, - 0.893555f, 0.000950f, 0.880859f, 0.000966f, 0.866699f, 0.000977f, 0.852539f, 0.000981f, - 0.836914f, 0.000981f, 0.821289f, 0.000977f, 0.804688f, 0.000968f, 0.787109f, 0.000955f, - 0.769531f, 0.000937f, 0.751465f, 0.000917f, 0.732422f, 0.000894f, 0.713379f, 0.000868f, - 0.694336f, 0.000840f, 0.674805f, 0.000811f, 0.655273f, 0.000780f, 0.635254f, 0.000749f, - 0.615723f, 0.000716f, 0.595703f, 0.000685f, 0.575684f, 0.000653f, 0.556152f, 0.000621f, - 0.536621f, 0.000590f, 0.517090f, 0.000559f, 0.498291f, 0.000530f, 0.479492f, 0.000501f, - 0.460938f, 0.000473f, 0.442627f, 0.000446f, 0.424805f, 0.000420f, 0.407227f, 0.000396f, - 0.390137f, 0.000373f, 0.373535f, 0.000350f, 0.357422f, 0.000329f, 0.341553f, 0.000309f, - 0.999512f, 0.000187f, 0.999512f, 0.000187f, 0.999512f, 0.000188f, 0.999512f, 0.000188f, - 0.999512f, 0.000190f, 0.999512f, 0.000194f, 0.999512f, 0.000201f, 0.999023f, 0.000204f, - 0.999023f, 0.000213f, 0.999023f, 0.000228f, 0.998535f, 0.000242f, 0.998535f, 0.000264f, - 0.997559f, 0.000285f, 0.997070f, 0.000311f, 0.996094f, 0.000351f, 0.995117f, 0.000386f, - 0.993164f, 0.000429f, 0.991211f, 0.000470f, 0.989258f, 0.000520f, 0.986328f, 0.000575f, - 0.983398f, 0.000628f, 0.979492f, 0.000683f, 0.975586f, 0.000741f, 0.970703f, 0.000801f, - 0.965332f, 0.000855f, 0.958984f, 0.000910f, 0.951660f, 0.000961f, 0.943848f, 0.001009f, - 0.935059f, 0.001053f, 0.925781f, 0.001090f, 0.915039f, 0.001123f, 0.903809f, 0.001152f, - 0.891602f, 0.001172f, 0.878906f, 0.001186f, 0.864746f, 0.001194f, 0.850586f, 0.001195f, - 0.835449f, 0.001191f, 0.819336f, 0.001181f, 0.802734f, 0.001164f, 0.785645f, 0.001144f, - 0.768066f, 0.001121f, 0.750000f, 0.001092f, 0.731445f, 0.001061f, 0.712402f, 0.001027f, - 0.693359f, 0.000992f, 0.674316f, 0.000955f, 0.654785f, 0.000916f, 0.635254f, 0.000877f, - 0.615723f, 0.000838f, 0.596191f, 0.000799f, 0.576660f, 0.000760f, 0.557129f, 0.000721f, - 0.538086f, 0.000684f, 0.518555f, 0.000648f, 0.500000f, 0.000612f, 0.481445f, 0.000578f, - 0.462891f, 0.000545f, 0.444824f, 0.000513f, 0.427246f, 0.000483f, 0.409912f, 0.000454f, - 0.392822f, 0.000427f, 0.376221f, 0.000401f, 0.360107f, 0.000376f, 0.344482f, 0.000353f, - 0.999512f, 0.000284f, 0.999512f, 0.000284f, 0.999512f, 0.000284f, 0.999512f, 0.000285f, - 0.999512f, 0.000287f, 0.999512f, 0.000292f, 0.999512f, 0.000296f, 0.999023f, 0.000307f, - 0.999023f, 0.000320f, 0.999023f, 0.000338f, 0.998535f, 0.000349f, 0.998047f, 0.000381f, - 0.997559f, 0.000407f, 0.996582f, 0.000447f, 0.995605f, 0.000480f, 0.994629f, 0.000531f, - 0.992676f, 0.000579f, 0.990723f, 0.000637f, 0.988770f, 0.000693f, 0.985840f, 0.000755f, - 0.982422f, 0.000824f, 0.979004f, 0.000889f, 0.975098f, 0.000958f, 0.969727f, 0.001024f, - 0.963867f, 0.001090f, 0.957520f, 0.001152f, 0.950684f, 0.001211f, 0.942383f, 0.001263f, - 0.933594f, 0.001309f, 0.923828f, 0.001353f, 0.913086f, 0.001387f, 0.901855f, 0.001413f, - 0.889648f, 0.001432f, 0.876465f, 0.001443f, 0.862793f, 0.001446f, 0.848145f, 0.001442f, - 0.833008f, 0.001431f, 0.817383f, 0.001413f, 0.800781f, 0.001390f, 0.783691f, 0.001362f, - 0.766113f, 0.001328f, 0.748535f, 0.001291f, 0.729980f, 0.001250f, 0.711426f, 0.001207f, - 0.692871f, 0.001163f, 0.673828f, 0.001116f, 0.654785f, 0.001068f, 0.635254f, 0.001020f, - 0.616211f, 0.000973f, 0.596680f, 0.000926f, 0.577637f, 0.000878f, 0.558105f, 0.000833f, - 0.539062f, 0.000788f, 0.520508f, 0.000745f, 0.501465f, 0.000702f, 0.483154f, 0.000663f, - 0.465088f, 0.000624f, 0.447266f, 0.000587f, 0.429443f, 0.000552f, 0.412354f, 0.000518f, - 0.395508f, 0.000486f, 0.378906f, 0.000456f, 0.363037f, 0.000427f, 0.347168f, 0.000400f, - 0.999512f, 0.000417f, 0.999512f, 0.000417f, 0.999512f, 0.000418f, 0.999512f, 0.000419f, - 0.999512f, 0.000422f, 0.999512f, 0.000425f, 0.999023f, 0.000434f, 0.999023f, 0.000447f, - 0.999023f, 0.000462f, 0.999023f, 0.000480f, 0.998047f, 0.000508f, 0.998047f, 0.000538f, - 0.997070f, 0.000576f, 0.996582f, 0.000621f, 0.995605f, 0.000669f, 0.993652f, 0.000721f, - 0.992188f, 0.000784f, 0.990723f, 0.000849f, 0.987793f, 0.000918f, 0.985840f, 0.000996f, - 0.982422f, 0.001071f, 0.978516f, 0.001148f, 0.973633f, 0.001225f, 0.968750f, 0.001304f, - 0.962891f, 0.001378f, 0.956543f, 0.001447f, 0.948730f, 0.001511f, 0.940918f, 0.001568f, - 0.931641f, 0.001617f, 0.921875f, 0.001660f, 0.911621f, 0.001697f, 0.899902f, 0.001719f, - 0.887695f, 0.001735f, 0.874512f, 0.001740f, 0.860840f, 0.001738f, 0.846191f, 0.001725f, - 0.831055f, 0.001706f, 0.815430f, 0.001679f, 0.798828f, 0.001646f, 0.782227f, 0.001607f, - 0.764648f, 0.001562f, 0.747070f, 0.001514f, 0.729004f, 0.001462f, 0.710449f, 0.001409f, - 0.691895f, 0.001352f, 0.673340f, 0.001295f, 0.654297f, 0.001237f, 0.635254f, 0.001179f, - 0.616211f, 0.001122f, 0.597168f, 0.001065f, 0.578125f, 0.001010f, 0.559570f, 0.000955f, - 0.540527f, 0.000902f, 0.521973f, 0.000852f, 0.503418f, 0.000803f, 0.485352f, 0.000755f, - 0.467285f, 0.000710f, 0.449463f, 0.000668f, 0.431885f, 0.000626f, 0.414795f, 0.000587f, - 0.398193f, 0.000551f, 0.381836f, 0.000516f, 0.365723f, 0.000483f, 0.350098f, 0.000452f, - 0.999023f, 0.000597f, 0.999023f, 0.000597f, 0.999023f, 0.000597f, 0.999023f, 0.000598f, - 0.999023f, 0.000602f, 0.999023f, 0.000610f, 0.999023f, 0.000618f, 0.999023f, 0.000632f, - 0.998535f, 0.000651f, 0.998535f, 0.000675f, 0.998047f, 0.000704f, 0.997559f, 0.000742f, - 0.997070f, 0.000787f, 0.996094f, 0.000843f, 0.995117f, 0.000902f, 0.993652f, 0.000966f, - 0.992188f, 0.001039f, 0.990234f, 0.001117f, 0.987793f, 0.001197f, 0.984863f, 0.001286f, - 0.981445f, 0.001372f, 0.977539f, 0.001464f, 0.972656f, 0.001553f, 0.967773f, 0.001639f, - 0.961914f, 0.001722f, 0.955078f, 0.001798f, 0.947754f, 0.001868f, 0.938965f, 0.001928f, - 0.930176f, 0.001982f, 0.920410f, 0.002026f, 0.909668f, 0.002056f, 0.897949f, 0.002075f, - 0.885254f, 0.002085f, 0.872559f, 0.002083f, 0.858398f, 0.002071f, 0.844238f, 0.002048f, - 0.828613f, 0.002018f, 0.812988f, 0.001980f, 0.796875f, 0.001934f, 0.780273f, 0.001883f, - 0.763184f, 0.001824f, 0.745605f, 0.001763f, 0.728027f, 0.001698f, 0.709473f, 0.001632f, - 0.691406f, 0.001563f, 0.672852f, 0.001494f, 0.654297f, 0.001422f, 0.635254f, 0.001355f, - 0.616699f, 0.001286f, 0.598145f, 0.001218f, 0.579102f, 0.001152f, 0.560547f, 0.001089f, - 0.541992f, 0.001027f, 0.523438f, 0.000968f, 0.505371f, 0.000911f, 0.487305f, 0.000857f, - 0.469482f, 0.000804f, 0.451904f, 0.000755f, 0.434570f, 0.000708f, 0.417480f, 0.000663f, - 0.400879f, 0.000621f, 0.384521f, 0.000581f, 0.368652f, 0.000544f, 0.353027f, 0.000508f, - 0.999023f, 0.000833f, 0.999023f, 0.000833f, 0.999023f, 0.000834f, 0.999023f, 0.000835f, - 0.999023f, 0.000840f, 0.999023f, 0.000845f, 0.998535f, 0.000861f, 0.998535f, 0.000875f, - 0.998535f, 0.000897f, 0.998047f, 0.000928f, 0.997559f, 0.000965f, 0.997070f, 0.001007f, - 0.996582f, 0.001061f, 0.995605f, 0.001128f, 0.994629f, 0.001195f, 0.993164f, 0.001276f, - 0.991699f, 0.001362f, 0.989258f, 0.001453f, 0.986816f, 0.001539f, 0.983887f, 0.001645f, - 0.980469f, 0.001747f, 0.976562f, 0.001849f, 0.971680f, 0.001945f, 0.966309f, 0.002045f, - 0.959961f, 0.002136f, 0.953613f, 0.002218f, 0.945801f, 0.002291f, 0.937500f, 0.002357f, - 0.928223f, 0.002407f, 0.917969f, 0.002447f, 0.907227f, 0.002472f, 0.895508f, 0.002487f, - 0.883301f, 0.002485f, 0.870117f, 0.002474f, 0.856445f, 0.002451f, 0.841797f, 0.002417f, - 0.826660f, 0.002373f, 0.811035f, 0.002317f, 0.794922f, 0.002258f, 0.778320f, 0.002190f, - 0.761230f, 0.002117f, 0.744141f, 0.002041f, 0.726562f, 0.001961f, 0.708496f, 0.001880f, - 0.690430f, 0.001796f, 0.672363f, 0.001713f, 0.654297f, 0.001630f, 0.635742f, 0.001547f, - 0.617188f, 0.001466f, 0.598633f, 0.001387f, 0.580078f, 0.001310f, 0.561523f, 0.001235f, - 0.543457f, 0.001164f, 0.524902f, 0.001095f, 0.507324f, 0.001029f, 0.489258f, 0.000967f, - 0.471680f, 0.000906f, 0.454346f, 0.000850f, 0.437012f, 0.000796f, 0.420166f, 0.000745f, - 0.403564f, 0.000698f, 0.387451f, 0.000652f, 0.371582f, 0.000609f, 0.356201f, 0.000569f, - 0.998535f, 0.001139f, 0.998535f, 0.001139f, 0.998535f, 0.001140f, 0.998535f, 0.001142f, - 0.998535f, 0.001147f, 0.998535f, 0.001159f, 0.998535f, 0.001168f, 0.998047f, 0.001190f, - 0.998047f, 0.001217f, 0.997559f, 0.001254f, 0.997559f, 0.001301f, 0.997070f, 0.001356f, - 0.996094f, 0.001416f, 0.995605f, 0.001493f, 0.994141f, 0.001574f, 0.992676f, 0.001663f, - 0.990723f, 0.001759f, 0.988770f, 0.001867f, 0.986328f, 0.001980f, 0.982910f, 0.002087f, - 0.979492f, 0.002199f, 0.975586f, 0.002319f, 0.970703f, 0.002422f, 0.965332f, 0.002531f, - 0.958496f, 0.002628f, 0.952148f, 0.002714f, 0.944336f, 0.002792f, 0.935547f, 0.002851f, - 0.926270f, 0.002903f, 0.916016f, 0.002935f, 0.904785f, 0.002954f, 0.893066f, 0.002956f, - 0.880859f, 0.002947f, 0.867676f, 0.002920f, 0.853516f, 0.002882f, 0.839355f, 0.002831f, - 0.824219f, 0.002769f, 0.809082f, 0.002699f, 0.792969f, 0.002619f, 0.776367f, 0.002533f, - 0.759766f, 0.002443f, 0.742676f, 0.002350f, 0.725586f, 0.002251f, 0.708008f, 0.002151f, - 0.689941f, 0.002052f, 0.671875f, 0.001953f, 0.653809f, 0.001854f, 0.635742f, 0.001758f, - 0.617676f, 0.001663f, 0.599121f, 0.001572f, 0.581055f, 0.001482f, 0.562988f, 0.001395f, - 0.544922f, 0.001313f, 0.526855f, 0.001234f, 0.508789f, 0.001158f, 0.491455f, 0.001086f, - 0.473877f, 0.001018f, 0.456787f, 0.000954f, 0.439697f, 0.000892f, 0.422852f, 0.000834f, - 0.406494f, 0.000780f, 0.390381f, 0.000729f, 0.374512f, 0.000680f, 0.359131f, 0.000635f, - 0.998047f, 0.001528f, 0.998047f, 0.001528f, 0.998047f, 0.001529f, 0.998047f, 0.001532f, - 0.998047f, 0.001539f, 0.998047f, 0.001546f, 0.998047f, 0.001562f, 0.998047f, 0.001589f, - 0.997559f, 0.001621f, 0.997559f, 0.001668f, 0.996582f, 0.001715f, 0.996582f, 0.001777f, - 0.995605f, 0.001859f, 0.994629f, 0.001939f, 0.993652f, 0.002035f, 0.992188f, 0.002140f, - 0.990234f, 0.002243f, 0.987793f, 0.002369f, 0.985352f, 0.002489f, 0.981934f, 0.002621f, - 0.978516f, 0.002750f, 0.974121f, 0.002876f, 0.969238f, 0.002991f, 0.963867f, 0.003105f, - 0.957031f, 0.003206f, 0.950195f, 0.003300f, 0.942383f, 0.003374f, 0.933594f, 0.003431f, - 0.923828f, 0.003473f, 0.913574f, 0.003498f, 0.902344f, 0.003506f, 0.890625f, 0.003494f, - 0.878418f, 0.003468f, 0.865234f, 0.003426f, 0.851074f, 0.003366f, 0.836914f, 0.003296f, - 0.822266f, 0.003216f, 0.806641f, 0.003122f, 0.791016f, 0.003023f, 0.774902f, 0.002916f, - 0.758301f, 0.002804f, 0.741211f, 0.002689f, 0.724121f, 0.002573f, 0.707031f, 0.002453f, - 0.689453f, 0.002335f, 0.671875f, 0.002216f, 0.653809f, 0.002102f, 0.636230f, 0.001987f, - 0.618164f, 0.001878f, 0.600098f, 0.001771f, 0.582031f, 0.001668f, 0.564453f, 0.001569f, - 0.546387f, 0.001475f, 0.528809f, 0.001384f, 0.511230f, 0.001297f, 0.493652f, 0.001217f, - 0.476318f, 0.001139f, 0.459229f, 0.001065f, 0.442383f, 0.000996f, 0.425781f, 0.000930f, - 0.409424f, 0.000869f, 0.393311f, 0.000811f, 0.377686f, 0.000757f, 0.362305f, 0.000707f, - 0.997559f, 0.002018f, 0.997559f, 0.002018f, 0.997559f, 0.002018f, 0.997559f, 0.002022f, - 0.997559f, 0.002028f, 0.997559f, 0.002045f, 0.997559f, 0.002066f, 0.997559f, 0.002092f, - 0.997559f, 0.002129f, 0.996582f, 0.002176f, 0.996094f, 0.002235f, 0.995605f, 0.002312f, - 0.995605f, 0.002407f, 0.993652f, 0.002491f, 0.992676f, 0.002605f, 0.991211f, 0.002729f, - 0.989258f, 0.002846f, 0.987305f, 0.002987f, 0.984375f, 0.003120f, 0.980957f, 0.003263f, - 0.977051f, 0.003403f, 0.972656f, 0.003542f, 0.967285f, 0.003666f, 0.961914f, 0.003782f, - 0.955566f, 0.003889f, 0.947754f, 0.003967f, 0.939941f, 0.004044f, 0.931152f, 0.004097f, - 0.921387f, 0.004131f, 0.911133f, 0.004139f, 0.899902f, 0.004131f, 0.888184f, 0.004108f, - 0.875488f, 0.004055f, 0.862305f, 0.003990f, 0.848633f, 0.003914f, 0.834473f, 0.003819f, - 0.819824f, 0.003712f, 0.804199f, 0.003593f, 0.788574f, 0.003469f, 0.772949f, 0.003338f, - 0.756348f, 0.003201f, 0.739746f, 0.003063f, 0.723145f, 0.002924f, 0.706055f, 0.002781f, - 0.688965f, 0.002644f, 0.671387f, 0.002506f, 0.653809f, 0.002371f, 0.636230f, 0.002239f, - 0.618652f, 0.002111f, 0.601074f, 0.001989f, 0.583496f, 0.001871f, 0.565430f, 0.001759f, - 0.547852f, 0.001650f, 0.530273f, 0.001547f, 0.513184f, 0.001449f, 0.495850f, 0.001356f, - 0.478760f, 0.001269f, 0.461670f, 0.001185f, 0.445068f, 0.001107f, 0.428467f, 0.001035f, - 0.412354f, 0.000965f, 0.396240f, 0.000901f, 0.380615f, 0.000840f, 0.365479f, 0.000783f, - 0.997070f, 0.002625f, 0.997070f, 0.002625f, 0.997070f, 0.002626f, 0.997070f, 0.002630f, - 0.997070f, 0.002640f, 0.997070f, 0.002659f, 0.997070f, 0.002676f, 0.996582f, 0.002708f, - 0.996582f, 0.002752f, 0.996094f, 0.002813f, 0.995605f, 0.002886f, 0.995117f, 0.002956f, - 0.994141f, 0.003071f, 0.992676f, 0.003172f, 0.991699f, 0.003292f, 0.990234f, 0.003433f, - 0.988281f, 0.003580f, 0.985840f, 0.003727f, 0.982910f, 0.003870f, 0.979492f, 0.004028f, - 0.975586f, 0.004177f, 0.971191f, 0.004322f, 0.966309f, 0.004456f, 0.959961f, 0.004570f, - 0.953125f, 0.004669f, 0.945801f, 0.004757f, 0.937500f, 0.004826f, 0.928711f, 0.004864f, - 0.918945f, 0.004883f, 0.908691f, 0.004875f, 0.897461f, 0.004845f, 0.885254f, 0.004795f, - 0.872559f, 0.004723f, 0.859863f, 0.004631f, 0.846191f, 0.004520f, 0.832031f, 0.004398f, - 0.817383f, 0.004261f, 0.802246f, 0.004116f, 0.786621f, 0.003963f, 0.770996f, 0.003805f, - 0.754883f, 0.003639f, 0.738770f, 0.003475f, 0.722168f, 0.003307f, 0.705078f, 0.003143f, - 0.688477f, 0.002981f, 0.671387f, 0.002821f, 0.653809f, 0.002665f, 0.636719f, 0.002512f, - 0.619141f, 0.002367f, 0.602051f, 0.002226f, 0.584473f, 0.002090f, 0.566895f, 0.001963f, - 0.549805f, 0.001840f, 0.532227f, 0.001722f, 0.515137f, 0.001613f, 0.498047f, 0.001508f, - 0.481201f, 0.001409f, 0.464355f, 0.001316f, 0.447754f, 0.001228f, 0.431396f, 0.001145f, - 0.415283f, 0.001069f, 0.399414f, 0.000997f, 0.383789f, 0.000929f, 0.368652f, 0.000865f, - 0.996582f, 0.003370f, 0.996582f, 0.003370f, 0.996582f, 0.003372f, 0.996582f, 0.003378f, - 0.996582f, 0.003389f, 0.996094f, 0.003410f, 0.996094f, 0.003435f, 0.996094f, 0.003471f, - 0.996094f, 0.003523f, 0.995117f, 0.003588f, 0.995117f, 0.003664f, 0.994141f, 0.003754f, - 0.993164f, 0.003864f, 0.992676f, 0.003990f, 0.990723f, 0.004128f, 0.989746f, 0.004288f, - 0.987793f, 0.004429f, 0.984375f, 0.004601f, 0.981445f, 0.004757f, 0.978027f, 0.004925f, - 0.974121f, 0.005089f, 0.969727f, 0.005241f, 0.964355f, 0.005375f, 0.958008f, 0.005486f, - 0.951172f, 0.005596f, 0.943848f, 0.005665f, 0.935547f, 0.005718f, 0.925781f, 0.005737f, - 0.916016f, 0.005733f, 0.905762f, 0.005707f, 0.894531f, 0.005650f, 0.882324f, 0.005569f, - 0.870117f, 0.005466f, 0.856934f, 0.005341f, 0.843262f, 0.005199f, 0.829102f, 0.005043f, - 0.814941f, 0.004871f, 0.799805f, 0.004692f, 0.784668f, 0.004505f, 0.769043f, 0.004314f, - 0.753418f, 0.004116f, 0.737305f, 0.003922f, 0.721191f, 0.003729f, 0.704590f, 0.003536f, - 0.687988f, 0.003347f, 0.670898f, 0.003162f, 0.654297f, 0.002983f, 0.637207f, 0.002810f, - 0.620117f, 0.002642f, 0.603027f, 0.002481f, 0.585938f, 0.002329f, 0.568359f, 0.002182f, - 0.551270f, 0.002045f, 0.534180f, 0.001913f, 0.517090f, 0.001788f, 0.500488f, 0.001671f, - 0.483643f, 0.001560f, 0.467041f, 0.001456f, 0.450684f, 0.001358f, 0.434326f, 0.001266f, - 0.418213f, 0.001181f, 0.402588f, 0.001101f, 0.386963f, 0.001025f, 0.371826f, 0.000954f, - 0.995605f, 0.004276f, 0.995605f, 0.004276f, 0.995605f, 0.004280f, 0.995605f, 0.004284f, - 0.995605f, 0.004299f, 0.995117f, 0.004318f, 0.995117f, 0.004349f, 0.995117f, 0.004383f, - 0.994629f, 0.004456f, 0.994629f, 0.004524f, 0.994141f, 0.004612f, 0.993164f, 0.004704f, - 0.992676f, 0.004848f, 0.991699f, 0.004974f, 0.990234f, 0.005142f, 0.987793f, 0.005291f, - 0.986328f, 0.005474f, 0.982910f, 0.005638f, 0.980469f, 0.005825f, 0.976562f, 0.005989f, - 0.972656f, 0.006157f, 0.967773f, 0.006313f, 0.961914f, 0.006443f, 0.955566f, 0.006554f, - 0.948730f, 0.006645f, 0.940918f, 0.006702f, 0.932617f, 0.006733f, 0.923340f, 0.006733f, - 0.913574f, 0.006699f, 0.902832f, 0.006645f, 0.891602f, 0.006550f, 0.879395f, 0.006435f, - 0.867188f, 0.006294f, 0.854004f, 0.006130f, 0.840332f, 0.005951f, 0.826660f, 0.005756f, - 0.812500f, 0.005543f, 0.797363f, 0.005325f, 0.782715f, 0.005100f, 0.767090f, 0.004871f, - 0.751465f, 0.004642f, 0.735840f, 0.004414f, 0.719727f, 0.004185f, 0.703613f, 0.003960f, - 0.687500f, 0.003744f, 0.670898f, 0.003531f, 0.654297f, 0.003326f, 0.637695f, 0.003128f, - 0.620605f, 0.002939f, 0.604004f, 0.002756f, 0.586914f, 0.002584f, 0.569824f, 0.002420f, - 0.553223f, 0.002264f, 0.536133f, 0.002117f, 0.519531f, 0.001978f, 0.502930f, 0.001847f, - 0.486328f, 0.001723f, 0.469727f, 0.001607f, 0.453369f, 0.001498f, 0.437256f, 0.001395f, - 0.421387f, 0.001300f, 0.405762f, 0.001211f, 0.390381f, 0.001127f, 0.375244f, 0.001050f, - 0.994141f, 0.005367f, 0.994141f, 0.005367f, 0.994141f, 0.005371f, 0.994141f, 0.005375f, - 0.994141f, 0.005394f, 0.994141f, 0.005413f, 0.994141f, 0.005447f, 0.994141f, 0.005508f, - 0.993652f, 0.005558f, 0.993652f, 0.005650f, 0.992676f, 0.005741f, 0.991699f, 0.005848f, - 0.991211f, 0.006004f, 0.990234f, 0.006149f, 0.988281f, 0.006317f, 0.986328f, 0.006504f, - 0.984863f, 0.006687f, 0.981934f, 0.006866f, 0.978516f, 0.007050f, 0.974609f, 0.007233f, - 0.970215f, 0.007393f, 0.965820f, 0.007553f, 0.959961f, 0.007675f, 0.953125f, 0.007774f, - 0.946289f, 0.007843f, 0.938477f, 0.007889f, 0.929688f, 0.007889f, 0.920410f, 0.007858f, - 0.910156f, 0.007793f, 0.899414f, 0.007694f, 0.888672f, 0.007565f, 0.876465f, 0.007401f, - 0.864258f, 0.007214f, 0.851074f, 0.007008f, 0.837402f, 0.006779f, 0.823730f, 0.006535f, - 0.809570f, 0.006279f, 0.794922f, 0.006023f, 0.780273f, 0.005753f, 0.765137f, 0.005482f, - 0.750000f, 0.005215f, 0.734375f, 0.004944f, 0.718750f, 0.004681f, 0.703125f, 0.004425f, - 0.687012f, 0.004173f, 0.670898f, 0.003929f, 0.654297f, 0.003700f, 0.638184f, 0.003473f, - 0.621582f, 0.003260f, 0.604980f, 0.003056f, 0.588379f, 0.002861f, 0.571777f, 0.002676f, - 0.555176f, 0.002502f, 0.538574f, 0.002337f, 0.521973f, 0.002180f, 0.505371f, 0.002035f, - 0.488770f, 0.001898f, 0.472656f, 0.001769f, 0.456299f, 0.001649f, 0.440430f, 0.001534f, - 0.424561f, 0.001430f, 0.408936f, 0.001329f, 0.393555f, 0.001238f, 0.378418f, 0.001151f, - 0.993164f, 0.006672f, 0.993164f, 0.006672f, 0.993164f, 0.006676f, 0.993164f, 0.006687f, - 0.993164f, 0.006699f, 0.993164f, 0.006721f, 0.992676f, 0.006760f, 0.992676f, 0.006821f, - 0.992188f, 0.006897f, 0.991699f, 0.006973f, 0.991211f, 0.007099f, 0.990234f, 0.007206f, - 0.990234f, 0.007366f, 0.988281f, 0.007519f, 0.986328f, 0.007706f, 0.984863f, 0.007912f, - 0.982422f, 0.008087f, 0.979980f, 0.008286f, 0.977051f, 0.008476f, 0.972656f, 0.008667f, - 0.968262f, 0.008827f, 0.962891f, 0.008980f, 0.957520f, 0.009079f, 0.951172f, 0.009171f, - 0.943848f, 0.009216f, 0.935547f, 0.009224f, 0.926758f, 0.009193f, 0.917480f, 0.009125f, - 0.906738f, 0.009010f, 0.895996f, 0.008865f, 0.885254f, 0.008682f, 0.873047f, 0.008469f, - 0.860840f, 0.008232f, 0.847656f, 0.007973f, 0.834473f, 0.007690f, 0.820801f, 0.007397f, - 0.807129f, 0.007092f, 0.792969f, 0.006783f, 0.778320f, 0.006462f, 0.763184f, 0.006145f, - 0.748535f, 0.005833f, 0.733398f, 0.005524f, 0.717773f, 0.005219f, 0.702148f, 0.004925f, - 0.686523f, 0.004639f, 0.670898f, 0.004364f, 0.654785f, 0.004097f, 0.638672f, 0.003847f, - 0.622559f, 0.003605f, 0.605957f, 0.003376f, 0.589844f, 0.003157f, 0.573242f, 0.002951f, - 0.556641f, 0.002756f, 0.540527f, 0.002573f, 0.523926f, 0.002399f, 0.507812f, 0.002237f, - 0.491455f, 0.002085f, 0.475342f, 0.001943f, 0.459229f, 0.001809f, 0.443359f, 0.001684f, - 0.427734f, 0.001567f, 0.412109f, 0.001457f, 0.396973f, 0.001356f, 0.382080f, 0.001261f, - 0.991699f, 0.008217f, 0.991699f, 0.008217f, 0.991699f, 0.008217f, 0.991699f, 0.008232f, - 0.991211f, 0.008240f, 0.991211f, 0.008270f, 0.991211f, 0.008324f, 0.991211f, 0.008377f, - 0.990723f, 0.008461f, 0.990234f, 0.008553f, 0.989746f, 0.008682f, 0.988770f, 0.008820f, - 0.987793f, 0.008972f, 0.986816f, 0.009163f, 0.985352f, 0.009338f, 0.982910f, 0.009567f, - 0.980957f, 0.009758f, 0.977539f, 0.009956f, 0.974609f, 0.010155f, 0.970215f, 0.010330f, - 0.965820f, 0.010483f, 0.960449f, 0.010597f, 0.954590f, 0.010696f, 0.947754f, 0.010750f, - 0.940430f, 0.010757f, 0.932129f, 0.010735f, 0.923340f, 0.010651f, 0.913574f, 0.010536f, - 0.903809f, 0.010376f, 0.892578f, 0.010162f, 0.881348f, 0.009926f, 0.869629f, 0.009651f, - 0.857422f, 0.009354f, 0.844727f, 0.009026f, 0.831543f, 0.008690f, 0.817871f, 0.008331f, - 0.804199f, 0.007973f, 0.790527f, 0.007603f, 0.775879f, 0.007233f, 0.761719f, 0.006866f, - 0.747070f, 0.006500f, 0.731934f, 0.006145f, 0.716797f, 0.005798f, 0.701660f, 0.005466f, - 0.686523f, 0.005138f, 0.670898f, 0.004829f, 0.655273f, 0.004532f, 0.639160f, 0.004246f, - 0.623535f, 0.003975f, 0.607422f, 0.003719f, 0.591309f, 0.003477f, 0.575195f, 0.003246f, - 0.558594f, 0.003029f, 0.542480f, 0.002827f, 0.526367f, 0.002634f, 0.510254f, 0.002455f, - 0.494141f, 0.002285f, 0.478271f, 0.002129f, 0.462402f, 0.001980f, 0.446533f, 0.001843f, - 0.430908f, 0.001715f, 0.415527f, 0.001594f, 0.400391f, 0.001483f, 0.385498f, 0.001378f, - 0.989746f, 0.010040f, 0.989746f, 0.010040f, 0.989746f, 0.010040f, 0.989746f, 0.010048f, - 0.989746f, 0.010071f, 0.989746f, 0.010094f, 0.989258f, 0.010147f, 0.989258f, 0.010223f, - 0.988770f, 0.010300f, 0.988770f, 0.010406f, 0.987793f, 0.010529f, 0.986816f, 0.010696f, - 0.986328f, 0.010857f, 0.984863f, 0.011055f, 0.982422f, 0.011238f, 0.981445f, 0.011467f, - 0.978516f, 0.011673f, 0.975098f, 0.011871f, 0.972168f, 0.012062f, 0.967285f, 0.012215f, - 0.962402f, 0.012352f, 0.957031f, 0.012459f, 0.951172f, 0.012535f, 0.944336f, 0.012535f, - 0.937012f, 0.012520f, 0.928711f, 0.012428f, 0.919922f, 0.012299f, 0.910156f, 0.012115f, - 0.899414f, 0.011879f, 0.889160f, 0.011612f, 0.877441f, 0.011299f, 0.865723f, 0.010956f, - 0.853516f, 0.010582f, 0.841309f, 0.010193f, 0.828125f, 0.009773f, 0.814941f, 0.009361f, - 0.801270f, 0.008926f, 0.787598f, 0.008499f, 0.773926f, 0.008064f, 0.759766f, 0.007641f, - 0.745117f, 0.007225f, 0.730469f, 0.006817f, 0.716309f, 0.006424f, 0.701172f, 0.006042f, - 0.686035f, 0.005676f, 0.670898f, 0.005329f, 0.655273f, 0.004993f, 0.640137f, 0.004673f, - 0.624512f, 0.004372f, 0.608398f, 0.004086f, 0.592773f, 0.003817f, 0.576660f, 0.003561f, - 0.561035f, 0.003323f, 0.544922f, 0.003098f, 0.528809f, 0.002884f, 0.512695f, 0.002686f, - 0.497070f, 0.002501f, 0.481201f, 0.002327f, 0.465332f, 0.002165f, 0.449707f, 0.002014f, - 0.434326f, 0.001873f, 0.418945f, 0.001740f, 0.403809f, 0.001617f, 0.388916f, 0.001504f, - 0.987793f, 0.012169f, 0.987793f, 0.012169f, 0.987793f, 0.012169f, 0.987793f, 0.012184f, - 0.987305f, 0.012207f, 0.987305f, 0.012245f, 0.987305f, 0.012291f, 0.986816f, 0.012360f, - 0.986816f, 0.012459f, 0.986328f, 0.012573f, 0.985840f, 0.012695f, 0.984863f, 0.012878f, - 0.983887f, 0.013046f, 0.982422f, 0.013237f, 0.980469f, 0.013466f, 0.979004f, 0.013680f, - 0.976074f, 0.013878f, 0.972656f, 0.014069f, 0.969238f, 0.014259f, 0.964355f, 0.014397f, - 0.959961f, 0.014488f, 0.954102f, 0.014580f, 0.947754f, 0.014595f, 0.940430f, 0.014557f, - 0.933105f, 0.014481f, 0.925293f, 0.014328f, 0.915527f, 0.014122f, 0.906250f, 0.013870f, - 0.895996f, 0.013565f, 0.885254f, 0.013206f, 0.873535f, 0.012817f, 0.862305f, 0.012383f, - 0.850098f, 0.011932f, 0.837891f, 0.011452f, 0.824707f, 0.010963f, 0.812012f, 0.010460f, - 0.798828f, 0.009964f, 0.785156f, 0.009460f, 0.771484f, 0.008965f, 0.757812f, 0.008484f, - 0.743652f, 0.008003f, 0.729492f, 0.007542f, 0.715332f, 0.007095f, 0.700684f, 0.006668f, - 0.686035f, 0.006256f, 0.670898f, 0.005863f, 0.655762f, 0.005489f, 0.640625f, 0.005135f, - 0.625488f, 0.004799f, 0.609863f, 0.004478f, 0.594238f, 0.004181f, 0.578613f, 0.003901f, - 0.562988f, 0.003635f, 0.547363f, 0.003386f, 0.531250f, 0.003153f, 0.515625f, 0.002935f, - 0.500000f, 0.002729f, 0.484131f, 0.002539f, 0.468506f, 0.002361f, 0.453125f, 0.002195f, - 0.437744f, 0.002041f, 0.422363f, 0.001897f, 0.407471f, 0.001763f, 0.392578f, 0.001637f, - 0.985352f, 0.014641f, 0.985352f, 0.014641f, 0.984863f, 0.014648f, 0.984863f, 0.014656f, - 0.984863f, 0.014679f, 0.984863f, 0.014717f, 0.984863f, 0.014771f, 0.984375f, 0.014839f, - 0.984375f, 0.014938f, 0.983398f, 0.015060f, 0.983398f, 0.015244f, 0.981934f, 0.015388f, - 0.980957f, 0.015587f, 0.979492f, 0.015778f, 0.977539f, 0.015976f, 0.975586f, 0.016190f, - 0.972656f, 0.016388f, 0.969727f, 0.016571f, 0.965820f, 0.016739f, 0.961426f, 0.016861f, - 0.956055f, 0.016922f, 0.950684f, 0.016953f, 0.943848f, 0.016922f, 0.937012f, 0.016815f, - 0.929199f, 0.016663f, 0.920410f, 0.016434f, 0.911621f, 0.016144f, 0.901855f, 0.015793f, - 0.891602f, 0.015411f, 0.880859f, 0.014954f, 0.869629f, 0.014473f, 0.857910f, 0.013947f, - 0.846191f, 0.013390f, 0.833984f, 0.012825f, 0.821289f, 0.012253f, 0.809082f, 0.011665f, - 0.795898f, 0.011086f, 0.782715f, 0.010506f, 0.769531f, 0.009933f, 0.755859f, 0.009377f, - 0.742188f, 0.008842f, 0.728516f, 0.008316f, 0.714355f, 0.007812f, 0.700195f, 0.007336f, - 0.685547f, 0.006874f, 0.670898f, 0.006435f, 0.656250f, 0.006020f, 0.641602f, 0.005623f, - 0.626465f, 0.005253f, 0.611328f, 0.004902f, 0.596191f, 0.004570f, 0.580566f, 0.004261f, - 0.564941f, 0.003967f, 0.549316f, 0.003695f, 0.533691f, 0.003437f, 0.518066f, 0.003199f, - 0.502930f, 0.002975f, 0.487305f, 0.002766f, 0.471680f, 0.002571f, 0.456299f, 0.002388f, - 0.441162f, 0.002220f, 0.426025f, 0.002062f, 0.411133f, 0.001916f, 0.396240f, 0.001781f, - 0.982422f, 0.017502f, 0.982422f, 0.017502f, 0.982422f, 0.017502f, 0.982422f, 0.017517f, - 0.981934f, 0.017532f, 0.981934f, 0.017593f, 0.981934f, 0.017639f, 0.981934f, 0.017731f, - 0.981445f, 0.017838f, 0.980957f, 0.017960f, 0.979980f, 0.018112f, 0.979004f, 0.018295f, - 0.978027f, 0.018478f, 0.975586f, 0.018677f, 0.974609f, 0.018860f, 0.972168f, 0.019073f, - 0.969238f, 0.019287f, 0.965820f, 0.019455f, 0.962402f, 0.019562f, 0.958008f, 0.019653f, - 0.952637f, 0.019653f, 0.946289f, 0.019623f, 0.939453f, 0.019516f, 0.932617f, 0.019348f, - 0.924316f, 0.019089f, 0.916016f, 0.018784f, 0.907227f, 0.018387f, 0.897461f, 0.017944f, - 0.887207f, 0.017426f, 0.876465f, 0.016861f, 0.865234f, 0.016266f, 0.854004f, 0.015640f, - 0.842285f, 0.014999f, 0.830078f, 0.014320f, 0.818359f, 0.013641f, 0.805664f, 0.012962f, - 0.792969f, 0.012291f, 0.780273f, 0.011627f, 0.767090f, 0.010979f, 0.753906f, 0.010345f, - 0.740723f, 0.009735f, 0.727539f, 0.009155f, 0.713867f, 0.008591f, 0.699707f, 0.008049f, - 0.685547f, 0.007534f, 0.671387f, 0.007050f, 0.656738f, 0.006588f, 0.642578f, 0.006149f, - 0.627441f, 0.005737f, 0.612793f, 0.005352f, 0.597656f, 0.004986f, 0.582520f, 0.004642f, - 0.567383f, 0.004322f, 0.551758f, 0.004021f, 0.536621f, 0.003744f, 0.520996f, 0.003481f, - 0.505859f, 0.003235f, 0.490479f, 0.003006f, 0.475098f, 0.002794f, 0.459717f, 0.002596f, - 0.444580f, 0.002411f, 0.429688f, 0.002241f, 0.414795f, 0.002081f, 0.400146f, 0.001933f, - 0.979004f, 0.020798f, 0.979004f, 0.020798f, 0.979004f, 0.020798f, 0.979004f, 0.020813f, - 0.979004f, 0.020844f, 0.978516f, 0.020874f, 0.978516f, 0.020935f, 0.978027f, 0.021027f, - 0.978027f, 0.021149f, 0.977539f, 0.021286f, 0.977051f, 0.021454f, 0.975586f, 0.021622f, - 0.974121f, 0.021820f, 0.972656f, 0.021988f, 0.970215f, 0.022186f, 0.968750f, 0.022385f, - 0.965820f, 0.022552f, 0.961914f, 0.022675f, 0.958008f, 0.022736f, 0.953613f, 0.022751f, - 0.948242f, 0.022736f, 0.942383f, 0.022614f, 0.935547f, 0.022415f, 0.927734f, 0.022156f, - 0.919922f, 0.021790f, 0.911621f, 0.021362f, 0.901855f, 0.020859f, 0.892090f, 0.020279f, - 0.882324f, 0.019638f, 0.872070f, 0.018951f, 0.860840f, 0.018234f, 0.849609f, 0.017487f, - 0.838379f, 0.016708f, 0.826172f, 0.015930f, 0.814453f, 0.015144f, 0.802246f, 0.014359f, - 0.790527f, 0.013588f, 0.777832f, 0.012833f, 0.765137f, 0.012100f, 0.752441f, 0.011383f, - 0.739258f, 0.010696f, 0.726074f, 0.010040f, 0.712891f, 0.009415f, 0.699219f, 0.008812f, - 0.685547f, 0.008240f, 0.671875f, 0.007698f, 0.657715f, 0.007191f, 0.643555f, 0.006710f, - 0.628906f, 0.006252f, 0.614258f, 0.005829f, 0.599609f, 0.005428f, 0.584473f, 0.005051f, - 0.569336f, 0.004704f, 0.554199f, 0.004372f, 0.539062f, 0.004063f, 0.523926f, 0.003780f, - 0.508789f, 0.003513f, 0.493652f, 0.003263f, 0.478271f, 0.003033f, 0.463135f, 0.002817f, - 0.448242f, 0.002615f, 0.433350f, 0.002430f, 0.418457f, 0.002256f, 0.403809f, 0.002094f, - 0.975098f, 0.024582f, 0.975098f, 0.024567f, 0.975098f, 0.024582f, 0.975098f, 0.024597f, - 0.975098f, 0.024628f, 0.975098f, 0.024658f, 0.975098f, 0.024734f, 0.974609f, 0.024826f, - 0.973633f, 0.024933f, 0.973633f, 0.025055f, 0.972656f, 0.025223f, 0.972168f, 0.025421f, - 0.970215f, 0.025589f, 0.968262f, 0.025742f, 0.966309f, 0.025925f, 0.964355f, 0.026108f, - 0.960938f, 0.026230f, 0.957520f, 0.026321f, 0.953613f, 0.026352f, 0.948242f, 0.026260f, - 0.943848f, 0.026154f, 0.937500f, 0.025970f, 0.930664f, 0.025650f, 0.922852f, 0.025253f, - 0.915039f, 0.024765f, 0.906738f, 0.024200f, 0.897461f, 0.023560f, 0.887207f, 0.022827f, - 0.877441f, 0.022064f, 0.866699f, 0.021225f, 0.855957f, 0.020370f, 0.845215f, 0.019470f, - 0.833984f, 0.018570f, 0.822266f, 0.017654f, 0.811035f, 0.016754f, 0.799316f, 0.015854f, - 0.787109f, 0.014984f, 0.775391f, 0.014122f, 0.763184f, 0.013298f, 0.750488f, 0.012489f, - 0.737793f, 0.011726f, 0.725098f, 0.010986f, 0.712402f, 0.010284f, 0.699219f, 0.009621f, - 0.685547f, 0.008987f, 0.671875f, 0.008392f, 0.658203f, 0.007828f, 0.644531f, 0.007305f, - 0.630371f, 0.006802f, 0.615723f, 0.006336f, 0.601562f, 0.005898f, 0.586914f, 0.005489f, - 0.571777f, 0.005104f, 0.557129f, 0.004745f, 0.541992f, 0.004414f, 0.526855f, 0.004101f, - 0.511719f, 0.003809f, 0.496826f, 0.003538f, 0.481689f, 0.003286f, 0.466797f, 0.003052f, - 0.451904f, 0.002832f, 0.437012f, 0.002630f, 0.422363f, 0.002441f, 0.407715f, 0.002268f, - 0.970703f, 0.028870f, 0.970703f, 0.028870f, 0.970703f, 0.028885f, 0.970703f, 0.028900f, - 0.970703f, 0.028915f, 0.970703f, 0.028961f, 0.970215f, 0.029022f, 0.970215f, 0.029114f, - 0.969727f, 0.029251f, 0.968750f, 0.029373f, 0.968262f, 0.029526f, 0.966797f, 0.029678f, - 0.966309f, 0.029877f, 0.964844f, 0.030045f, 0.962402f, 0.030167f, 0.959473f, 0.030304f, - 0.956543f, 0.030411f, 0.953125f, 0.030411f, 0.948242f, 0.030319f, 0.943359f, 0.030197f, - 0.938477f, 0.029968f, 0.931641f, 0.029648f, 0.924805f, 0.029221f, 0.917969f, 0.028687f, - 0.909180f, 0.028030f, 0.900879f, 0.027313f, 0.891602f, 0.026505f, 0.881836f, 0.025620f, - 0.871582f, 0.024673f, 0.861816f, 0.023697f, 0.851074f, 0.022659f, 0.840820f, 0.021622f, - 0.829590f, 0.020569f, 0.818359f, 0.019516f, 0.807129f, 0.018478f, 0.795898f, 0.017456f, - 0.784180f, 0.016464f, 0.772461f, 0.015503f, 0.760742f, 0.014572f, 0.748535f, 0.013672f, - 0.736816f, 0.012817f, 0.724121f, 0.012001f, 0.711914f, 0.011215f, 0.698730f, 0.010483f, - 0.686035f, 0.009789f, 0.672852f, 0.009132f, 0.659180f, 0.008514f, 0.645508f, 0.007935f, - 0.631836f, 0.007389f, 0.617676f, 0.006878f, 0.603516f, 0.006397f, 0.588867f, 0.005951f, - 0.574219f, 0.005531f, 0.559570f, 0.005142f, 0.544922f, 0.004776f, 0.529785f, 0.004436f, - 0.515137f, 0.004120f, 0.500000f, 0.003828f, 0.485352f, 0.003555f, 0.470215f, 0.003302f, - 0.455566f, 0.003065f, 0.440918f, 0.002844f, 0.426270f, 0.002642f, 0.411621f, 0.002451f, - 0.965820f, 0.033752f, 0.965820f, 0.033752f, 0.965820f, 0.033752f, 0.965820f, 0.033783f, - 0.965820f, 0.033783f, 0.965820f, 0.033875f, 0.965332f, 0.033905f, 0.965332f, 0.033997f, - 0.964844f, 0.034088f, 0.963867f, 0.034241f, 0.963379f, 0.034393f, 0.962402f, 0.034546f, - 0.960938f, 0.034698f, 0.958496f, 0.034851f, 0.957520f, 0.034973f, 0.954102f, 0.035034f, - 0.951172f, 0.035034f, 0.947754f, 0.034943f, 0.942871f, 0.034821f, 0.937988f, 0.034576f, - 0.932129f, 0.034180f, 0.926270f, 0.033722f, 0.918945f, 0.033142f, 0.911133f, 0.032410f, - 0.902832f, 0.031616f, 0.894531f, 0.030685f, 0.885254f, 0.029694f, 0.876465f, 0.028641f, - 0.866699f, 0.027512f, 0.856445f, 0.026337f, 0.846191f, 0.025146f, 0.835449f, 0.023926f, - 0.825195f, 0.022720f, 0.814453f, 0.021515f, 0.803711f, 0.020340f, 0.792480f, 0.019165f, - 0.781250f, 0.018051f, 0.770020f, 0.016968f, 0.758789f, 0.015915f, 0.747070f, 0.014931f, - 0.735352f, 0.013977f, 0.723145f, 0.013069f, 0.710938f, 0.012215f, 0.698730f, 0.011398f, - 0.686035f, 0.010635f, 0.673340f, 0.009918f, 0.660156f, 0.009239f, 0.646484f, 0.008598f, - 0.633301f, 0.008003f, 0.619141f, 0.007446f, 0.605469f, 0.006927f, 0.591309f, 0.006439f, - 0.576660f, 0.005985f, 0.562500f, 0.005562f, 0.547852f, 0.005165f, 0.533203f, 0.004795f, - 0.518066f, 0.004456f, 0.503418f, 0.004135f, 0.488770f, 0.003841f, 0.474121f, 0.003565f, - 0.459229f, 0.003311f, 0.444580f, 0.003073f, 0.430176f, 0.002853f, 0.415771f, 0.002647f, - 0.960449f, 0.039276f, 0.960449f, 0.039276f, 0.960449f, 0.039276f, 0.960449f, 0.039307f, - 0.960449f, 0.039337f, 0.959961f, 0.039368f, 0.959961f, 0.039429f, 0.959961f, 0.039520f, - 0.959473f, 0.039612f, 0.958984f, 0.039764f, 0.958008f, 0.039886f, 0.956543f, 0.040009f, - 0.955566f, 0.040131f, 0.953125f, 0.040253f, 0.951172f, 0.040314f, 0.948242f, 0.040283f, - 0.945801f, 0.040222f, 0.940918f, 0.040039f, 0.936523f, 0.039764f, 0.931152f, 0.039368f, - 0.926270f, 0.038879f, 0.919434f, 0.038208f, 0.913086f, 0.037445f, 0.905273f, 0.036530f, - 0.897461f, 0.035522f, 0.888184f, 0.034393f, 0.879395f, 0.033173f, 0.870117f, 0.031891f, - 0.860352f, 0.030563f, 0.850586f, 0.029190f, 0.840820f, 0.027802f, 0.830566f, 0.026398f, - 0.820312f, 0.025009f, 0.810059f, 0.023636f, 0.799805f, 0.022308f, 0.789062f, 0.020996f, - 0.778809f, 0.019730f, 0.767578f, 0.018524f, 0.756348f, 0.017365f, 0.745605f, 0.016251f, - 0.733887f, 0.015213f, 0.722656f, 0.014206f, 0.710938f, 0.013260f, 0.698730f, 0.012367f, - 0.686523f, 0.011536f, 0.673828f, 0.010742f, 0.661133f, 0.010002f, 0.647949f, 0.009308f, - 0.634766f, 0.008659f, 0.621094f, 0.008057f, 0.607422f, 0.007488f, 0.593262f, 0.006958f, - 0.579102f, 0.006466f, 0.564941f, 0.006004f, 0.550781f, 0.005577f, 0.536133f, 0.005177f, - 0.521484f, 0.004807f, 0.506836f, 0.004463f, 0.492432f, 0.004143f, 0.477783f, 0.003847f, - 0.463135f, 0.003571f, 0.448730f, 0.003315f, 0.434082f, 0.003077f, 0.419922f, 0.002857f, - 0.954102f, 0.045502f, 0.954102f, 0.045502f, 0.954102f, 0.045502f, 0.954102f, 0.045532f, - 0.954102f, 0.045563f, 0.954102f, 0.045593f, 0.953613f, 0.045654f, 0.953613f, 0.045715f, - 0.953125f, 0.045868f, 0.952148f, 0.045990f, 0.951660f, 0.046082f, 0.950195f, 0.046143f, - 0.948242f, 0.046265f, 0.946777f, 0.046265f, 0.943848f, 0.046265f, 0.941895f, 0.046204f, - 0.938477f, 0.046021f, 0.935059f, 0.045685f, 0.929199f, 0.045258f, 0.925293f, 0.044708f, - 0.919434f, 0.044006f, 0.912109f, 0.043121f, 0.905273f, 0.042145f, 0.897949f, 0.041016f, - 0.890137f, 0.039734f, 0.881348f, 0.038391f, 0.872559f, 0.036926f, 0.863770f, 0.035431f, - 0.854004f, 0.033813f, 0.844727f, 0.032227f, 0.835449f, 0.030640f, 0.825195f, 0.029037f, - 0.815430f, 0.027451f, 0.806152f, 0.025909f, 0.795898f, 0.024399f, 0.785645f, 0.022934f, - 0.775391f, 0.021530f, 0.765137f, 0.020187f, 0.754883f, 0.018890f, 0.743652f, 0.017670f, - 0.732910f, 0.016510f, 0.721680f, 0.015411f, 0.710449f, 0.014374f, 0.698730f, 0.013405f, - 0.686523f, 0.012482f, 0.674316f, 0.011620f, 0.662109f, 0.010811f, 0.649414f, 0.010063f, - 0.636230f, 0.009354f, 0.623047f, 0.008698f, 0.609375f, 0.008080f, 0.595703f, 0.007507f, - 0.582031f, 0.006973f, 0.567871f, 0.006477f, 0.553711f, 0.006016f, 0.539551f, 0.005585f, - 0.524902f, 0.005180f, 0.510254f, 0.004810f, 0.496094f, 0.004463f, 0.481689f, 0.004147f, - 0.467041f, 0.003847f, 0.452637f, 0.003571f, 0.438232f, 0.003315f, 0.424072f, 0.003077f, - 0.947266f, 0.052490f, 0.947266f, 0.052490f, 0.947266f, 0.052490f, 0.947266f, 0.052521f, - 0.947266f, 0.052551f, 0.946777f, 0.052582f, 0.946777f, 0.052612f, 0.946289f, 0.052734f, - 0.945801f, 0.052795f, 0.945312f, 0.052887f, 0.944336f, 0.052948f, 0.942871f, 0.053040f, - 0.941406f, 0.053009f, 0.939941f, 0.053009f, 0.937012f, 0.052917f, 0.934570f, 0.052704f, - 0.931641f, 0.052399f, 0.926758f, 0.051971f, 0.922852f, 0.051331f, 0.917480f, 0.050568f, - 0.911133f, 0.049622f, 0.904297f, 0.048523f, 0.898438f, 0.047272f, 0.890137f, 0.045868f, - 0.882812f, 0.044312f, 0.874512f, 0.042694f, 0.865723f, 0.040955f, 0.856934f, 0.039154f, - 0.847656f, 0.037354f, 0.838867f, 0.035522f, 0.829590f, 0.033661f, 0.820312f, 0.031830f, - 0.811035f, 0.030060f, 0.801270f, 0.028305f, 0.791992f, 0.026611f, 0.782227f, 0.024994f, - 0.772461f, 0.023422f, 0.762695f, 0.021927f, 0.752441f, 0.020508f, 0.742188f, 0.019165f, - 0.731445f, 0.017883f, 0.721191f, 0.016678f, 0.709961f, 0.015556f, 0.698730f, 0.014488f, - 0.687012f, 0.013489f, 0.675293f, 0.012550f, 0.663086f, 0.011673f, 0.650879f, 0.010849f, - 0.638184f, 0.010086f, 0.625000f, 0.009369f, 0.611816f, 0.008705f, 0.598145f, 0.008087f, - 0.584961f, 0.007511f, 0.570801f, 0.006977f, 0.556641f, 0.006474f, 0.542480f, 0.006012f, - 0.528320f, 0.005581f, 0.514160f, 0.005180f, 0.499756f, 0.004807f, 0.485596f, 0.004459f, - 0.471191f, 0.004139f, 0.456787f, 0.003843f, 0.442383f, 0.003569f, 0.428467f, 0.003313f, - 0.939453f, 0.060333f, 0.939453f, 0.060333f, 0.939453f, 0.060333f, 0.939453f, 0.060333f, - 0.939453f, 0.060394f, 0.938965f, 0.060394f, 0.938965f, 0.060455f, 0.938477f, 0.060516f, - 0.937988f, 0.060577f, 0.937500f, 0.060638f, 0.936035f, 0.060669f, 0.935547f, 0.060669f, - 0.933594f, 0.060608f, 0.931641f, 0.060516f, 0.929688f, 0.060272f, 0.927246f, 0.059967f, - 0.922363f, 0.059448f, 0.918945f, 0.058868f, 0.914062f, 0.057953f, 0.908691f, 0.056946f, - 0.902832f, 0.055786f, 0.897461f, 0.054382f, 0.890137f, 0.052826f, 0.882324f, 0.051117f, - 0.874023f, 0.049255f, 0.866211f, 0.047302f, 0.858398f, 0.045288f, 0.849609f, 0.043213f, - 0.840820f, 0.041107f, 0.832031f, 0.038971f, 0.823730f, 0.036896f, 0.814453f, 0.034821f, - 0.806152f, 0.032806f, 0.796875f, 0.030853f, 0.788086f, 0.028961f, 0.778809f, 0.027161f, - 0.769531f, 0.025421f, 0.760254f, 0.023788f, 0.750488f, 0.022217f, 0.740723f, 0.020737f, - 0.730957f, 0.019333f, 0.720703f, 0.018021f, 0.709961f, 0.016785f, 0.698730f, 0.015625f, - 0.687500f, 0.014549f, 0.676270f, 0.013535f, 0.664551f, 0.012573f, 0.652344f, 0.011688f, - 0.640137f, 0.010864f, 0.627441f, 0.010086f, 0.614258f, 0.009369f, 0.601074f, 0.008698f, - 0.587402f, 0.008080f, 0.573730f, 0.007500f, 0.560059f, 0.006962f, 0.545898f, 0.006462f, - 0.531738f, 0.006001f, 0.517578f, 0.005569f, 0.503418f, 0.005165f, 0.489502f, 0.004795f, - 0.475098f, 0.004452f, 0.460938f, 0.004131f, 0.446777f, 0.003838f, 0.432861f, 0.003563f, - 0.930664f, 0.069031f, 0.930664f, 0.069031f, 0.930664f, 0.069031f, 0.930664f, 0.069031f, - 0.930664f, 0.069092f, 0.930664f, 0.069092f, 0.930176f, 0.069214f, 0.929688f, 0.069153f, - 0.929199f, 0.069214f, 0.929199f, 0.069275f, 0.927246f, 0.069214f, 0.926758f, 0.069153f, - 0.925293f, 0.069031f, 0.923340f, 0.068787f, 0.920410f, 0.068420f, 0.917480f, 0.067932f, - 0.914551f, 0.067261f, 0.911133f, 0.066345f, 0.905273f, 0.065247f, 0.900391f, 0.063965f, - 0.894043f, 0.062469f, 0.888184f, 0.060699f, 0.880859f, 0.058807f, 0.873535f, 0.056763f, - 0.866211f, 0.054565f, 0.858887f, 0.052277f, 0.850586f, 0.049896f, 0.841797f, 0.047485f, - 0.833496f, 0.045105f, 0.825684f, 0.042664f, 0.817383f, 0.040283f, 0.809082f, 0.037964f, - 0.800781f, 0.035706f, 0.792480f, 0.033539f, 0.784180f, 0.031433f, 0.775391f, 0.029449f, - 0.766602f, 0.027542f, 0.757812f, 0.025726f, 0.748535f, 0.024017f, 0.739258f, 0.022400f, - 0.729980f, 0.020874f, 0.719727f, 0.019440f, 0.709961f, 0.018097f, 0.699219f, 0.016830f, - 0.688477f, 0.015656f, 0.677246f, 0.014557f, 0.665527f, 0.013527f, 0.653809f, 0.012573f, - 0.641602f, 0.011681f, 0.629395f, 0.010841f, 0.616699f, 0.010071f, 0.603516f, 0.009346f, - 0.590332f, 0.008682f, 0.577148f, 0.008057f, 0.563477f, 0.007481f, 0.549316f, 0.006943f, - 0.535645f, 0.006443f, 0.521484f, 0.005978f, 0.507324f, 0.005550f, 0.493408f, 0.005150f, - 0.479248f, 0.004780f, 0.465332f, 0.004436f, 0.451172f, 0.004124f, 0.437256f, 0.003828f, - 0.920898f, 0.078735f, 0.920898f, 0.078735f, 0.920898f, 0.078735f, 0.920898f, 0.078735f, - 0.920898f, 0.078796f, 0.920898f, 0.078796f, 0.920410f, 0.078796f, 0.919922f, 0.078857f, - 0.919922f, 0.078857f, 0.918945f, 0.078796f, 0.917480f, 0.078735f, 0.916992f, 0.078613f, - 0.915039f, 0.078308f, 0.913086f, 0.077942f, 0.910645f, 0.077454f, 0.908691f, 0.076660f, - 0.905273f, 0.075745f, 0.899902f, 0.074585f, 0.895996f, 0.073181f, 0.889648f, 0.071533f, - 0.883789f, 0.069641f, 0.877930f, 0.067566f, 0.872070f, 0.065247f, 0.864258f, 0.062805f, - 0.856934f, 0.060242f, 0.849121f, 0.057556f, 0.841797f, 0.054810f, 0.833984f, 0.052063f, - 0.827148f, 0.049316f, 0.818848f, 0.046570f, 0.811035f, 0.043915f, 0.803223f, 0.041290f, - 0.795898f, 0.038788f, 0.788086f, 0.036377f, 0.779785f, 0.034058f, 0.771973f, 0.031830f, - 0.763672f, 0.029755f, 0.755371f, 0.027771f, 0.747070f, 0.025894f, 0.738281f, 0.024139f, - 0.729004f, 0.022476f, 0.719238f, 0.020935f, 0.709473f, 0.019470f, 0.699707f, 0.018097f, - 0.688965f, 0.016830f, 0.678223f, 0.015640f, 0.666992f, 0.014534f, 0.655762f, 0.013496f, - 0.643555f, 0.012535f, 0.631348f, 0.011642f, 0.619141f, 0.010803f, 0.606445f, 0.010033f, - 0.593262f, 0.009308f, 0.580078f, 0.008644f, 0.566406f, 0.008018f, 0.553223f, 0.007446f, - 0.539062f, 0.006908f, 0.525391f, 0.006413f, 0.511230f, 0.005951f, 0.497559f, 0.005527f, - 0.483643f, 0.005131f, 0.469482f, 0.004765f, 0.455566f, 0.004421f, 0.441650f, 0.004108f, - 0.910156f, 0.089539f, 0.910156f, 0.089539f, 0.910156f, 0.089539f, 0.910156f, 0.089539f, - 0.910156f, 0.089539f, 0.909668f, 0.089539f, 0.909668f, 0.089539f, 0.909180f, 0.089539f, - 0.908691f, 0.089478f, 0.907715f, 0.089417f, 0.907227f, 0.089233f, 0.905762f, 0.088989f, - 0.904297f, 0.088562f, 0.902832f, 0.088013f, 0.900391f, 0.087280f, 0.896973f, 0.086243f, - 0.895020f, 0.085083f, 0.889160f, 0.083557f, 0.884766f, 0.081787f, 0.878906f, 0.079712f, - 0.874512f, 0.077393f, 0.867676f, 0.074951f, 0.860840f, 0.072205f, 0.854492f, 0.069275f, - 0.848145f, 0.066223f, 0.840820f, 0.063171f, 0.833008f, 0.060059f, 0.826172f, 0.056885f, - 0.819336f, 0.053741f, 0.812012f, 0.050690f, 0.804688f, 0.047699f, 0.797852f, 0.044800f, - 0.790527f, 0.042023f, 0.783691f, 0.039337f, 0.776367f, 0.036804f, 0.768555f, 0.034393f, - 0.761230f, 0.032074f, 0.753418f, 0.029922f, 0.745117f, 0.027893f, 0.736816f, 0.025970f, - 0.728516f, 0.024170f, 0.719238f, 0.022491f, 0.709961f, 0.020905f, 0.700195f, 0.019440f, - 0.689941f, 0.018066f, 0.679688f, 0.016785f, 0.668457f, 0.015587f, 0.657227f, 0.014473f, - 0.645996f, 0.013443f, 0.633789f, 0.012474f, 0.621582f, 0.011581f, 0.609375f, 0.010750f, - 0.596191f, 0.009972f, 0.583496f, 0.009262f, 0.569824f, 0.008591f, 0.556641f, 0.007973f, - 0.542969f, 0.007404f, 0.529297f, 0.006874f, 0.515625f, 0.006378f, 0.501465f, 0.005920f, - 0.487793f, 0.005501f, 0.474121f, 0.005108f, 0.460205f, 0.004742f, 0.446289f, 0.004406f, - 0.898438f, 0.101440f, 0.898438f, 0.101440f, 0.898438f, 0.101440f, 0.898438f, 0.101440f, - 0.897949f, 0.101440f, 0.897949f, 0.101440f, 0.897461f, 0.101440f, 0.896973f, 0.101379f, - 0.896973f, 0.101318f, 0.895996f, 0.101135f, 0.895508f, 0.100830f, 0.894043f, 0.100464f, - 0.893066f, 0.099854f, 0.890625f, 0.099121f, 0.888184f, 0.098083f, 0.885254f, 0.096802f, - 0.882324f, 0.095215f, 0.878418f, 0.093323f, 0.872559f, 0.091125f, 0.869629f, 0.088623f, - 0.862793f, 0.085815f, 0.855957f, 0.082764f, 0.850098f, 0.079590f, 0.844727f, 0.076172f, - 0.837402f, 0.072693f, 0.831055f, 0.069092f, 0.824219f, 0.065491f, 0.817871f, 0.061981f, - 0.811035f, 0.058472f, 0.804688f, 0.055023f, 0.797852f, 0.051697f, 0.791992f, 0.048492f, - 0.785645f, 0.045410f, 0.778809f, 0.042480f, 0.771973f, 0.039673f, 0.765625f, 0.037018f, - 0.758789f, 0.034515f, 0.750977f, 0.032166f, 0.743652f, 0.029968f, 0.735840f, 0.027878f, - 0.727539f, 0.025940f, 0.718750f, 0.024124f, 0.709961f, 0.022430f, 0.700684f, 0.020844f, - 0.690918f, 0.019363f, 0.680664f, 0.017975f, 0.670410f, 0.016693f, 0.659180f, 0.015495f, - 0.647949f, 0.014389f, 0.636230f, 0.013359f, 0.624512f, 0.012398f, 0.611816f, 0.011505f, - 0.599609f, 0.010681f, 0.586426f, 0.009911f, 0.573730f, 0.009201f, 0.560547f, 0.008537f, - 0.546875f, 0.007927f, 0.533203f, 0.007355f, 0.519531f, 0.006828f, 0.505859f, 0.006340f, - 0.492432f, 0.005890f, 0.478516f, 0.005470f, 0.464844f, 0.005077f, 0.450928f, 0.004719f, - 0.885254f, 0.114624f, 0.885254f, 0.114624f, 0.885254f, 0.114624f, 0.885254f, 0.114624f, - 0.884766f, 0.114624f, 0.884766f, 0.114563f, 0.884766f, 0.114502f, 0.884277f, 0.114380f, - 0.883789f, 0.114258f, 0.883301f, 0.114014f, 0.882324f, 0.113525f, 0.881348f, 0.112976f, - 0.879395f, 0.112183f, 0.877441f, 0.111145f, 0.875977f, 0.109802f, 0.872559f, 0.108215f, - 0.869141f, 0.106201f, 0.865723f, 0.103821f, 0.860352f, 0.101196f, 0.854492f, 0.098145f, - 0.850586f, 0.094849f, 0.845215f, 0.091187f, 0.838379f, 0.087463f, 0.833496f, 0.083496f, - 0.826660f, 0.079468f, 0.820801f, 0.075378f, 0.814453f, 0.071289f, 0.809082f, 0.067322f, - 0.803711f, 0.063354f, 0.797363f, 0.059540f, 0.791992f, 0.055878f, 0.786133f, 0.052338f, - 0.780762f, 0.048950f, 0.774414f, 0.045746f, 0.768555f, 0.042664f, 0.762207f, 0.039795f, - 0.755859f, 0.037079f, 0.749023f, 0.034546f, 0.741699f, 0.032135f, 0.734863f, 0.029892f, - 0.727051f, 0.027802f, 0.718750f, 0.025833f, 0.710449f, 0.024002f, 0.701172f, 0.022293f, - 0.691895f, 0.020706f, 0.682129f, 0.019226f, 0.671875f, 0.017853f, 0.661133f, 0.016571f, - 0.650391f, 0.015381f, 0.639160f, 0.014282f, 0.626953f, 0.013252f, 0.615234f, 0.012299f, - 0.602539f, 0.011414f, 0.590332f, 0.010597f, 0.577148f, 0.009834f, 0.563965f, 0.009132f, - 0.550781f, 0.008476f, 0.537598f, 0.007866f, 0.523926f, 0.007309f, 0.510254f, 0.006786f, - 0.496826f, 0.006306f, 0.483154f, 0.005856f, 0.469482f, 0.005440f, 0.455811f, 0.005054f, - 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870605f, 0.129028f, - 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870117f, 0.128906f, 0.870117f, 0.128784f, - 0.869629f, 0.128540f, 0.869141f, 0.128052f, 0.868164f, 0.127563f, 0.867188f, 0.126709f, - 0.865723f, 0.125732f, 0.863281f, 0.124329f, 0.862305f, 0.122742f, 0.858887f, 0.120544f, - 0.854980f, 0.118103f, 0.850098f, 0.115173f, 0.847168f, 0.111938f, 0.843750f, 0.108276f, - 0.836426f, 0.104309f, 0.832031f, 0.100159f, 0.827148f, 0.095764f, 0.821289f, 0.091187f, - 0.815918f, 0.086609f, 0.810547f, 0.081970f, 0.806152f, 0.077393f, 0.800781f, 0.072937f, - 0.795410f, 0.068542f, 0.790039f, 0.064270f, 0.785645f, 0.060242f, 0.780762f, 0.056335f, - 0.775391f, 0.052643f, 0.770020f, 0.049133f, 0.765137f, 0.045807f, 0.759766f, 0.042694f, - 0.753906f, 0.039734f, 0.747559f, 0.036987f, 0.740723f, 0.034393f, 0.733887f, 0.031982f, - 0.726562f, 0.029739f, 0.719238f, 0.027618f, 0.710449f, 0.025650f, 0.702148f, 0.023834f, - 0.692871f, 0.022125f, 0.683594f, 0.020538f, 0.673828f, 0.019058f, 0.663574f, 0.017685f, - 0.652832f, 0.016418f, 0.641602f, 0.015244f, 0.629883f, 0.014153f, 0.618164f, 0.013138f, - 0.605957f, 0.012192f, 0.593750f, 0.011314f, 0.581055f, 0.010506f, 0.567871f, 0.009750f, - 0.555176f, 0.009056f, 0.541504f, 0.008408f, 0.528320f, 0.007809f, 0.514648f, 0.007252f, - 0.501465f, 0.006741f, 0.487793f, 0.006260f, 0.474365f, 0.005817f, 0.460938f, 0.005409f, - 0.854492f, 0.145020f, 0.854492f, 0.145020f, 0.854492f, 0.145020f, 0.854492f, 0.145020f, - 0.854492f, 0.144897f, 0.854492f, 0.144897f, 0.854004f, 0.144653f, 0.854492f, 0.144531f, - 0.854004f, 0.144165f, 0.853027f, 0.143555f, 0.852051f, 0.142822f, 0.851074f, 0.141724f, - 0.850586f, 0.140503f, 0.848145f, 0.138672f, 0.846191f, 0.136475f, 0.843262f, 0.133911f, - 0.839844f, 0.130859f, 0.835449f, 0.127319f, 0.832031f, 0.123474f, 0.828613f, 0.119141f, - 0.823242f, 0.114502f, 0.819824f, 0.109558f, 0.813477f, 0.104431f, 0.809570f, 0.099304f, - 0.804199f, 0.094055f, 0.799316f, 0.088867f, 0.794922f, 0.083740f, 0.791992f, 0.078735f, - 0.786621f, 0.073914f, 0.783203f, 0.069214f, 0.779297f, 0.064758f, 0.774902f, 0.060516f, - 0.770508f, 0.056488f, 0.765625f, 0.052673f, 0.761230f, 0.049072f, 0.756348f, 0.045715f, - 0.750977f, 0.042511f, 0.745605f, 0.039551f, 0.739746f, 0.036774f, 0.733398f, 0.034180f, - 0.726562f, 0.031738f, 0.719238f, 0.029495f, 0.711426f, 0.027390f, 0.703125f, 0.025421f, - 0.694336f, 0.023605f, 0.685059f, 0.021912f, 0.675781f, 0.020340f, 0.665527f, 0.018875f, - 0.655273f, 0.017517f, 0.644043f, 0.016251f, 0.632812f, 0.015091f, 0.621582f, 0.014008f, - 0.609375f, 0.013000f, 0.597168f, 0.012070f, 0.584473f, 0.011200f, 0.571777f, 0.010406f, - 0.559082f, 0.009659f, 0.545898f, 0.008972f, 0.532715f, 0.008339f, 0.519531f, 0.007748f, - 0.505859f, 0.007198f, 0.492676f, 0.006691f, 0.479248f, 0.006218f, 0.465820f, 0.005783f, - 0.837402f, 0.162476f, 0.837402f, 0.162476f, 0.837402f, 0.162476f, 0.837402f, 0.162354f, - 0.837402f, 0.162354f, 0.836914f, 0.162231f, 0.836914f, 0.161987f, 0.836426f, 0.161743f, - 0.836426f, 0.161133f, 0.835449f, 0.160522f, 0.835449f, 0.159546f, 0.834473f, 0.158203f, - 0.833496f, 0.156372f, 0.831055f, 0.154175f, 0.830078f, 0.151489f, 0.826660f, 0.148315f, - 0.823242f, 0.144531f, 0.821289f, 0.140381f, 0.817383f, 0.135620f, 0.812012f, 0.130615f, - 0.810547f, 0.125122f, 0.805176f, 0.119507f, 0.800293f, 0.113647f, 0.797852f, 0.107788f, - 0.792480f, 0.101868f, 0.788574f, 0.096008f, 0.785156f, 0.090332f, 0.782715f, 0.084839f, - 0.779297f, 0.079468f, 0.774902f, 0.074341f, 0.772461f, 0.069458f, 0.769531f, 0.064819f, - 0.765137f, 0.060486f, 0.761719f, 0.056366f, 0.758301f, 0.052490f, 0.753418f, 0.048828f, - 0.749023f, 0.045410f, 0.743652f, 0.042206f, 0.738770f, 0.039215f, 0.732422f, 0.036438f, - 0.726074f, 0.033844f, 0.719238f, 0.031433f, 0.711914f, 0.029190f, 0.704102f, 0.027100f, - 0.695801f, 0.025146f, 0.687012f, 0.023346f, 0.677734f, 0.021667f, 0.667969f, 0.020111f, - 0.657715f, 0.018646f, 0.646973f, 0.017319f, 0.636230f, 0.016068f, 0.624512f, 0.014923f, - 0.612793f, 0.013855f, 0.601074f, 0.012863f, 0.588379f, 0.011948f, 0.576172f, 0.011093f, - 0.563477f, 0.010300f, 0.550293f, 0.009567f, 0.537109f, 0.008896f, 0.523926f, 0.008263f, - 0.510742f, 0.007687f, 0.497559f, 0.007145f, 0.484375f, 0.006645f, 0.470947f, 0.006180f, - 0.818359f, 0.181519f, 0.818359f, 0.181519f, 0.818359f, 0.181519f, 0.817871f, 0.181519f, - 0.817871f, 0.181396f, 0.817871f, 0.181274f, 0.817871f, 0.181030f, 0.817871f, 0.180542f, - 0.817871f, 0.179932f, 0.817383f, 0.178955f, 0.816406f, 0.177612f, 0.815918f, 0.175903f, - 0.814941f, 0.173584f, 0.812500f, 0.170898f, 0.811035f, 0.167603f, 0.808594f, 0.163696f, - 0.805664f, 0.159180f, 0.802246f, 0.154175f, 0.799805f, 0.148560f, 0.796875f, 0.142700f, - 0.792480f, 0.136353f, 0.789551f, 0.129883f, 0.787598f, 0.123230f, 0.782227f, 0.116577f, - 0.780273f, 0.109985f, 0.777344f, 0.103516f, 0.774414f, 0.097168f, 0.771973f, 0.091125f, - 0.770508f, 0.085205f, 0.767578f, 0.079651f, 0.765625f, 0.074341f, 0.763184f, 0.069336f, - 0.760254f, 0.064636f, 0.757812f, 0.060181f, 0.754395f, 0.056000f, 0.750977f, 0.052063f, - 0.747559f, 0.048431f, 0.742188f, 0.044983f, 0.737793f, 0.041779f, 0.732422f, 0.038818f, - 0.726074f, 0.036041f, 0.719727f, 0.033447f, 0.712891f, 0.031052f, 0.705566f, 0.028824f, - 0.697266f, 0.026749f, 0.688965f, 0.024826f, 0.679688f, 0.023041f, 0.670410f, 0.021393f, - 0.660645f, 0.019852f, 0.649902f, 0.018433f, 0.639160f, 0.017105f, 0.627930f, 0.015869f, - 0.616211f, 0.014748f, 0.604492f, 0.013687f, 0.592773f, 0.012718f, 0.580078f, 0.011818f, - 0.567871f, 0.010979f, 0.554688f, 0.010201f, 0.541992f, 0.009483f, 0.528809f, 0.008812f, - 0.515625f, 0.008194f, 0.502441f, 0.007626f, 0.489502f, 0.007088f, 0.476318f, 0.006599f, - 0.797363f, 0.202393f, 0.797363f, 0.202393f, 0.797363f, 0.202393f, 0.797363f, 0.202393f, - 0.797363f, 0.202148f, 0.797363f, 0.202026f, 0.797363f, 0.201660f, 0.797363f, 0.201050f, - 0.796875f, 0.200195f, 0.796875f, 0.198975f, 0.796387f, 0.197266f, 0.795898f, 0.195068f, - 0.794922f, 0.192261f, 0.792969f, 0.188843f, 0.792480f, 0.184937f, 0.789551f, 0.180298f, - 0.787598f, 0.174927f, 0.785645f, 0.168823f, 0.782715f, 0.162231f, 0.779297f, 0.155273f, - 0.775879f, 0.148071f, 0.775391f, 0.140747f, 0.772461f, 0.133179f, 0.770508f, 0.125732f, - 0.767578f, 0.118347f, 0.766113f, 0.111206f, 0.764648f, 0.104248f, 0.763184f, 0.097595f, - 0.762695f, 0.091187f, 0.761719f, 0.085144f, 0.759277f, 0.079407f, 0.758301f, 0.073975f, - 0.755859f, 0.068909f, 0.754395f, 0.064087f, 0.751465f, 0.059631f, 0.748535f, 0.055450f, - 0.745117f, 0.051514f, 0.741211f, 0.047852f, 0.737305f, 0.044434f, 0.731934f, 0.041260f, - 0.726562f, 0.038300f, 0.720215f, 0.035553f, 0.713867f, 0.032990f, 0.706543f, 0.030624f, - 0.699219f, 0.028427f, 0.690918f, 0.026382f, 0.682129f, 0.024475f, 0.672852f, 0.022720f, - 0.663086f, 0.021088f, 0.652832f, 0.019577f, 0.642578f, 0.018173f, 0.631348f, 0.016876f, - 0.620117f, 0.015671f, 0.608398f, 0.014565f, 0.596680f, 0.013535f, 0.584473f, 0.012573f, - 0.572266f, 0.011681f, 0.559570f, 0.010857f, 0.546875f, 0.010101f, 0.533691f, 0.009392f, - 0.520996f, 0.008736f, 0.507812f, 0.008125f, 0.494629f, 0.007565f, 0.481689f, 0.007042f, - 0.774414f, 0.225098f, 0.774414f, 0.225098f, 0.774414f, 0.225098f, 0.774414f, 0.225098f, - 0.774414f, 0.224854f, 0.774902f, 0.224609f, 0.774414f, 0.224121f, 0.774414f, 0.223389f, - 0.774414f, 0.222290f, 0.773926f, 0.220581f, 0.773926f, 0.218628f, 0.773926f, 0.215942f, - 0.773438f, 0.212524f, 0.772461f, 0.208374f, 0.771484f, 0.203491f, 0.770508f, 0.197754f, - 0.769043f, 0.191284f, 0.766113f, 0.184204f, 0.763672f, 0.176514f, 0.760742f, 0.168457f, - 0.760742f, 0.160278f, 0.757812f, 0.151855f, 0.757812f, 0.143433f, 0.756836f, 0.135132f, - 0.754395f, 0.126953f, 0.755371f, 0.119141f, 0.755371f, 0.111511f, 0.754395f, 0.104309f, - 0.753418f, 0.097351f, 0.754395f, 0.090820f, 0.753906f, 0.084595f, 0.752441f, 0.078796f, - 0.751465f, 0.073303f, 0.750000f, 0.068176f, 0.748535f, 0.063354f, 0.746094f, 0.058899f, - 0.743164f, 0.054718f, 0.740234f, 0.050812f, 0.736816f, 0.047150f, 0.731934f, 0.043793f, - 0.727051f, 0.040649f, 0.721191f, 0.037720f, 0.714844f, 0.035004f, 0.708008f, 0.032501f, - 0.700684f, 0.030167f, 0.692871f, 0.027985f, 0.684570f, 0.025986f, 0.675781f, 0.024124f, - 0.666016f, 0.022385f, 0.656250f, 0.020782f, 0.645996f, 0.019302f, 0.635254f, 0.017929f, - 0.624023f, 0.016647f, 0.612793f, 0.015480f, 0.601074f, 0.014381f, 0.588867f, 0.013367f, - 0.576660f, 0.012428f, 0.563965f, 0.011559f, 0.551270f, 0.010750f, 0.539062f, 0.010002f, - 0.525879f, 0.009308f, 0.513184f, 0.008659f, 0.500000f, 0.008064f, 0.487061f, 0.007511f, - 0.750000f, 0.249878f, 0.749512f, 0.249878f, 0.750000f, 0.249878f, 0.750000f, 0.249756f, - 0.750000f, 0.249512f, 0.750000f, 0.249146f, 0.750000f, 0.248413f, 0.750488f, 0.247559f, - 0.750488f, 0.246094f, 0.750488f, 0.244141f, 0.750488f, 0.241577f, 0.750488f, 0.238281f, - 0.748535f, 0.234009f, 0.749512f, 0.229004f, 0.749023f, 0.223022f, 0.747070f, 0.216309f, - 0.745117f, 0.208496f, 0.743164f, 0.200195f, 0.744629f, 0.191406f, 0.741211f, 0.182251f, - 0.741699f, 0.172852f, 0.740234f, 0.163330f, 0.742676f, 0.154053f, 0.741211f, 0.144775f, - 0.743652f, 0.135864f, 0.744629f, 0.127197f, 0.743164f, 0.118958f, 0.744629f, 0.111145f, - 0.745605f, 0.103638f, 0.746582f, 0.096558f, 0.748047f, 0.089966f, 0.747559f, 0.083679f, - 0.747559f, 0.077820f, 0.746582f, 0.072327f, 0.745605f, 0.067261f, 0.744629f, 0.062469f, - 0.742676f, 0.058014f, 0.739746f, 0.053864f, 0.735840f, 0.049988f, 0.731934f, 0.046417f, - 0.727539f, 0.043091f, 0.722168f, 0.039978f, 0.716309f, 0.037079f, 0.709473f, 0.034424f, - 0.702637f, 0.031952f, 0.695312f, 0.029663f, 0.687012f, 0.027542f, 0.678223f, 0.025558f, - 0.668945f, 0.023743f, 0.659180f, 0.022049f, 0.649414f, 0.020477f, 0.638672f, 0.019028f, - 0.627930f, 0.017670f, 0.616699f, 0.016434f, 0.604980f, 0.015274f, 0.593262f, 0.014198f, - 0.581055f, 0.013206f, 0.568848f, 0.012283f, 0.556641f, 0.011429f, 0.543945f, 0.010643f, - 0.531250f, 0.009903f, 0.518066f, 0.009224f, 0.505371f, 0.008591f, 0.492676f, 0.008003f, - 0.723145f, 0.276611f, 0.723145f, 0.276611f, 0.723145f, 0.276611f, 0.723145f, 0.276611f, - 0.723145f, 0.276123f, 0.723145f, 0.275635f, 0.723145f, 0.274902f, 0.723633f, 0.273682f, - 0.723633f, 0.271973f, 0.724121f, 0.269531f, 0.724609f, 0.266113f, 0.725098f, 0.262207f, - 0.725098f, 0.257080f, 0.724609f, 0.250732f, 0.722656f, 0.243652f, 0.725586f, 0.235474f, - 0.724121f, 0.226685f, 0.723145f, 0.216919f, 0.722656f, 0.206787f, 0.720703f, 0.196289f, - 0.723145f, 0.185791f, 0.723633f, 0.175171f, 0.724121f, 0.164795f, 0.728027f, 0.154663f, - 0.730469f, 0.144897f, 0.731934f, 0.135498f, 0.734863f, 0.126587f, 0.737305f, 0.118103f, - 0.739258f, 0.110107f, 0.739746f, 0.102478f, 0.741699f, 0.095398f, 0.743164f, 0.088745f, - 0.743652f, 0.082520f, 0.743652f, 0.076660f, 0.743652f, 0.071228f, 0.742676f, 0.066101f, - 0.741211f, 0.061401f, 0.739258f, 0.057007f, 0.735840f, 0.052887f, 0.732422f, 0.049103f, - 0.728516f, 0.045563f, 0.723145f, 0.042297f, 0.717773f, 0.039246f, 0.711914f, 0.036438f, - 0.704590f, 0.033813f, 0.697754f, 0.031403f, 0.689453f, 0.029160f, 0.681152f, 0.027069f, - 0.671875f, 0.025146f, 0.662598f, 0.023346f, 0.652832f, 0.021698f, 0.642578f, 0.020157f, - 0.631836f, 0.018738f, 0.621094f, 0.017426f, 0.609375f, 0.016205f, 0.597656f, 0.015076f, - 0.585938f, 0.014023f, 0.573730f, 0.013054f, 0.561523f, 0.012146f, 0.548828f, 0.011314f, - 0.536621f, 0.010536f, 0.523926f, 0.009811f, 0.511230f, 0.009148f, 0.498291f, 0.008530f, - 0.693848f, 0.305664f, 0.693848f, 0.305664f, 0.693848f, 0.305664f, 0.693848f, 0.305664f, - 0.693848f, 0.305176f, 0.694336f, 0.304443f, 0.694824f, 0.303467f, 0.695312f, 0.302002f, - 0.695312f, 0.299561f, 0.696289f, 0.296631f, 0.696777f, 0.292725f, 0.696777f, 0.287598f, - 0.697754f, 0.281250f, 0.698242f, 0.273926f, 0.698730f, 0.265137f, 0.697266f, 0.255615f, - 0.699707f, 0.245239f, 0.699707f, 0.234131f, 0.700195f, 0.222412f, 0.702637f, 0.210693f, - 0.705078f, 0.198853f, 0.708496f, 0.187134f, 0.708984f, 0.175781f, 0.715332f, 0.164673f, - 0.718750f, 0.154053f, 0.722168f, 0.143921f, 0.724121f, 0.134277f, 0.727539f, 0.125244f, - 0.731934f, 0.116638f, 0.733398f, 0.108582f, 0.736816f, 0.101013f, 0.738281f, 0.093872f, - 0.740234f, 0.087219f, 0.741699f, 0.081055f, 0.741211f, 0.075256f, 0.741211f, 0.069885f, - 0.740723f, 0.064880f, 0.738281f, 0.060211f, 0.736328f, 0.055908f, 0.732910f, 0.051849f, - 0.729004f, 0.048157f, 0.724609f, 0.044678f, 0.719727f, 0.041473f, 0.713379f, 0.038483f, - 0.707031f, 0.035736f, 0.699707f, 0.033173f, 0.692383f, 0.030823f, 0.684082f, 0.028625f, - 0.675293f, 0.026596f, 0.666016f, 0.024704f, 0.656738f, 0.022964f, 0.646484f, 0.021347f, - 0.636230f, 0.019852f, 0.625488f, 0.018463f, 0.614258f, 0.017181f, 0.602539f, 0.015976f, - 0.590820f, 0.014877f, 0.578613f, 0.013855f, 0.566895f, 0.012901f, 0.554688f, 0.012024f, - 0.541992f, 0.011200f, 0.529297f, 0.010437f, 0.516602f, 0.009735f, 0.503906f, 0.009079f, - 0.662598f, 0.337158f, 0.662598f, 0.337158f, 0.662598f, 0.337158f, 0.662598f, 0.336914f, - 0.662598f, 0.336670f, 0.663086f, 0.335938f, 0.663086f, 0.334473f, 0.664062f, 0.332520f, - 0.665039f, 0.329834f, 0.666016f, 0.325928f, 0.665527f, 0.320801f, 0.667969f, 0.314697f, - 0.667480f, 0.306885f, 0.669922f, 0.298096f, 0.669434f, 0.287842f, 0.671387f, 0.276367f, - 0.675781f, 0.264404f, 0.675781f, 0.251465f, 0.677734f, 0.238403f, 0.681152f, 0.225342f, - 0.686035f, 0.212036f, 0.690430f, 0.199219f, 0.694824f, 0.186768f, 0.700684f, 0.174805f, - 0.702637f, 0.163330f, 0.708008f, 0.152466f, 0.714844f, 0.142212f, 0.718750f, 0.132446f, - 0.724609f, 0.123291f, 0.728516f, 0.114685f, 0.731445f, 0.106628f, 0.734375f, 0.099121f, - 0.736816f, 0.092102f, 0.738770f, 0.085510f, 0.740723f, 0.079407f, 0.740234f, 0.073730f, - 0.739258f, 0.068420f, 0.738770f, 0.063538f, 0.736328f, 0.058960f, 0.734375f, 0.054718f, - 0.730469f, 0.050781f, 0.726562f, 0.047150f, 0.721191f, 0.043762f, 0.715332f, 0.040619f, - 0.709473f, 0.037720f, 0.702637f, 0.035034f, 0.695312f, 0.032532f, 0.687500f, 0.030243f, - 0.678711f, 0.028107f, 0.669922f, 0.026123f, 0.660645f, 0.024277f, 0.650391f, 0.022583f, - 0.640137f, 0.021011f, 0.629395f, 0.019547f, 0.618652f, 0.018188f, 0.607422f, 0.016937f, - 0.595703f, 0.015778f, 0.583984f, 0.014694f, 0.572266f, 0.013695f, 0.560059f, 0.012764f, - 0.547852f, 0.011902f, 0.535156f, 0.011101f, 0.522461f, 0.010353f, 0.510254f, 0.009666f, - 0.628418f, 0.371338f, 0.628418f, 0.371338f, 0.628418f, 0.371094f, 0.628418f, 0.371094f, - 0.628418f, 0.370361f, 0.629395f, 0.369385f, 0.629883f, 0.367920f, 0.630859f, 0.365234f, - 0.631836f, 0.361816f, 0.633301f, 0.357178f, 0.634766f, 0.350830f, 0.635742f, 0.343262f, - 0.638184f, 0.333984f, 0.640137f, 0.322998f, 0.641113f, 0.311035f, 0.645508f, 0.297852f, - 0.647949f, 0.283691f, 0.652344f, 0.269043f, 0.657227f, 0.254395f, 0.662598f, 0.239868f, - 0.669922f, 0.225464f, 0.673340f, 0.211426f, 0.680664f, 0.197876f, 0.685547f, 0.184937f, - 0.693359f, 0.172729f, 0.700684f, 0.161011f, 0.705566f, 0.150146f, 0.711426f, 0.139771f, - 0.718750f, 0.130005f, 0.722168f, 0.120911f, 0.727051f, 0.112427f, 0.732422f, 0.104431f, - 0.733887f, 0.097046f, 0.737305f, 0.090088f, 0.738770f, 0.083618f, 0.740234f, 0.077637f, - 0.739258f, 0.072083f, 0.738281f, 0.066895f, 0.736816f, 0.062073f, 0.734375f, 0.057648f, - 0.731934f, 0.053497f, 0.728027f, 0.049683f, 0.723145f, 0.046112f, 0.717773f, 0.042816f, - 0.712402f, 0.039764f, 0.705566f, 0.036957f, 0.698242f, 0.034332f, 0.690430f, 0.031891f, - 0.682617f, 0.029663f, 0.673340f, 0.027573f, 0.664551f, 0.025650f, 0.654785f, 0.023865f, - 0.644531f, 0.022202f, 0.634277f, 0.020676f, 0.623535f, 0.019257f, 0.612305f, 0.017929f, - 0.601074f, 0.016708f, 0.589355f, 0.015579f, 0.577637f, 0.014526f, 0.565430f, 0.013550f, - 0.553223f, 0.012642f, 0.541016f, 0.011787f, 0.528809f, 0.011009f, 0.516113f, 0.010277f, - 0.591309f, 0.407959f, 0.591797f, 0.407959f, 0.591797f, 0.407959f, 0.591797f, 0.407471f, - 0.592285f, 0.406982f, 0.592773f, 0.405762f, 0.593750f, 0.403564f, 0.594727f, 0.400391f, - 0.596680f, 0.396240f, 0.598145f, 0.390137f, 0.600098f, 0.382568f, 0.602539f, 0.373047f, - 0.604980f, 0.361816f, 0.606934f, 0.348877f, 0.611816f, 0.334473f, 0.616699f, 0.319336f, - 0.620605f, 0.302979f, 0.627930f, 0.286865f, 0.634277f, 0.270508f, 0.638672f, 0.254150f, - 0.647949f, 0.238525f, 0.654297f, 0.223389f, 0.663086f, 0.208862f, 0.673828f, 0.195068f, - 0.680176f, 0.182007f, 0.689941f, 0.169678f, 0.696289f, 0.157959f, 0.705078f, 0.147095f, - 0.713867f, 0.136841f, 0.719727f, 0.127197f, 0.724121f, 0.118225f, 0.729980f, 0.109863f, - 0.731934f, 0.101990f, 0.735840f, 0.094727f, 0.737305f, 0.087952f, 0.738770f, 0.081604f, - 0.740234f, 0.075745f, 0.739258f, 0.070312f, 0.738281f, 0.065247f, 0.735840f, 0.060608f, - 0.733398f, 0.056274f, 0.729492f, 0.052246f, 0.725098f, 0.048523f, 0.720703f, 0.045074f, - 0.714355f, 0.041870f, 0.708496f, 0.038910f, 0.701660f, 0.036163f, 0.693848f, 0.033630f, - 0.686035f, 0.031281f, 0.677734f, 0.029099f, 0.668457f, 0.027069f, 0.659180f, 0.025192f, - 0.648926f, 0.023453f, 0.639160f, 0.021851f, 0.628418f, 0.020355f, 0.617676f, 0.018967f, - 0.605957f, 0.017685f, 0.594727f, 0.016495f, 0.583008f, 0.015388f, 0.571289f, 0.014366f, - 0.559570f, 0.013412f, 0.546875f, 0.012520f, 0.534668f, 0.011696f, 0.522461f, 0.010925f, - 0.551758f, 0.447754f, 0.551758f, 0.447754f, 0.552246f, 0.447510f, 0.552246f, 0.447266f, - 0.552734f, 0.446289f, 0.553223f, 0.444580f, 0.555176f, 0.441895f, 0.556152f, 0.438232f, - 0.558594f, 0.432617f, 0.561035f, 0.425049f, 0.563477f, 0.415527f, 0.566406f, 0.404053f, - 0.570312f, 0.390381f, 0.575195f, 0.375000f, 0.578613f, 0.358154f, 0.584473f, 0.340332f, - 0.593750f, 0.322266f, 0.600098f, 0.303955f, 0.611328f, 0.286133f, 0.617676f, 0.268555f, - 0.629395f, 0.251709f, 0.640625f, 0.235352f, 0.649902f, 0.219849f, 0.661621f, 0.205078f, - 0.671387f, 0.191284f, 0.678711f, 0.178223f, 0.688965f, 0.166016f, 0.699707f, 0.154419f, - 0.707031f, 0.143555f, 0.714844f, 0.133545f, 0.719727f, 0.124084f, 0.726074f, 0.115295f, - 0.731445f, 0.107056f, 0.734863f, 0.099365f, 0.737305f, 0.092285f, 0.739258f, 0.085632f, - 0.740234f, 0.079529f, 0.739746f, 0.073792f, 0.739258f, 0.068542f, 0.737793f, 0.063599f, - 0.734863f, 0.059082f, 0.731934f, 0.054871f, 0.727539f, 0.050964f, 0.723633f, 0.047394f, - 0.717773f, 0.044006f, 0.711426f, 0.040924f, 0.705078f, 0.038055f, 0.697754f, 0.035400f, - 0.689941f, 0.032928f, 0.681641f, 0.030655f, 0.672852f, 0.028534f, 0.663574f, 0.026581f, - 0.653809f, 0.024750f, 0.644043f, 0.023071f, 0.633301f, 0.021515f, 0.622559f, 0.020050f, - 0.611328f, 0.018707f, 0.600098f, 0.017456f, 0.588867f, 0.016296f, 0.577148f, 0.015221f, - 0.565430f, 0.014221f, 0.553223f, 0.013290f, 0.541504f, 0.012421f, 0.528809f, 0.011620f, - 0.509277f, 0.490234f, 0.509277f, 0.490234f, 0.509277f, 0.489990f, 0.509766f, 0.489502f, - 0.510254f, 0.488525f, 0.511230f, 0.486328f, 0.512695f, 0.482910f, 0.514160f, 0.478027f, - 0.517578f, 0.470947f, 0.520996f, 0.461670f, 0.523926f, 0.449707f, 0.528809f, 0.435303f, - 0.534180f, 0.418945f, 0.540527f, 0.400635f, 0.548340f, 0.381348f, 0.554688f, 0.361328f, - 0.566895f, 0.340820f, 0.577637f, 0.320801f, 0.588867f, 0.301270f, 0.601074f, 0.282471f, - 0.610352f, 0.264404f, 0.624023f, 0.247070f, 0.637207f, 0.230591f, 0.649414f, 0.215210f, - 0.662109f, 0.200562f, 0.672852f, 0.186768f, 0.685547f, 0.173828f, 0.693359f, 0.161743f, - 0.702148f, 0.150391f, 0.711426f, 0.139771f, 0.720703f, 0.129883f, 0.726074f, 0.120667f, - 0.730469f, 0.112061f, 0.733887f, 0.104065f, 0.738281f, 0.096619f, 0.739258f, 0.089722f, - 0.740234f, 0.083252f, 0.741699f, 0.077332f, 0.740723f, 0.071777f, 0.739258f, 0.066711f, - 0.736816f, 0.061951f, 0.734375f, 0.057556f, 0.730469f, 0.053497f, 0.726074f, 0.049713f, - 0.720703f, 0.046234f, 0.714844f, 0.042999f, 0.708496f, 0.039978f, 0.701172f, 0.037231f, - 0.693848f, 0.034637f, 0.685547f, 0.032257f, 0.677246f, 0.030060f, 0.667969f, 0.028000f, - 0.658691f, 0.026108f, 0.648926f, 0.024338f, 0.638672f, 0.022705f, 0.627930f, 0.021194f, - 0.617188f, 0.019775f, 0.605957f, 0.018463f, 0.594727f, 0.017258f, 0.583008f, 0.016129f, - 0.571289f, 0.015076f, 0.559570f, 0.014099f, 0.547852f, 0.013191f, 0.535645f, 0.012337f, - 0.463623f, 0.536133f, 0.463623f, 0.536133f, 0.463867f, 0.535645f, 0.464111f, 0.535156f, - 0.465088f, 0.533691f, 0.466064f, 0.530762f, 0.468506f, 0.526367f, 0.471191f, 0.520020f, - 0.474609f, 0.511230f, 0.478516f, 0.499268f, 0.483643f, 0.484375f, 0.489990f, 0.466797f, - 0.495361f, 0.447266f, 0.502441f, 0.425537f, 0.515137f, 0.403564f, 0.526855f, 0.380859f, - 0.540039f, 0.358887f, 0.553711f, 0.336914f, 0.564453f, 0.315918f, 0.587891f, 0.295898f, - 0.600098f, 0.276611f, 0.610840f, 0.258545f, 0.624512f, 0.241211f, 0.641113f, 0.225098f, - 0.657715f, 0.209717f, 0.668457f, 0.195312f, 0.678223f, 0.181763f, 0.687988f, 0.169067f, - 0.701172f, 0.157104f, 0.707031f, 0.146118f, 0.715332f, 0.135620f, 0.723145f, 0.125977f, - 0.728516f, 0.117126f, 0.734375f, 0.108704f, 0.736328f, 0.100952f, 0.739746f, 0.093750f, - 0.741699f, 0.087036f, 0.742188f, 0.080872f, 0.741699f, 0.075134f, 0.741211f, 0.069763f, - 0.739258f, 0.064819f, 0.736816f, 0.060272f, 0.733398f, 0.056030f, 0.729004f, 0.052124f, - 0.724121f, 0.048492f, 0.718750f, 0.045105f, 0.712402f, 0.041992f, 0.705078f, 0.039093f, - 0.698242f, 0.036407f, 0.689941f, 0.033905f, 0.681641f, 0.031616f, 0.672852f, 0.029480f, - 0.663574f, 0.027512f, 0.653809f, 0.025665f, 0.644043f, 0.023956f, 0.633301f, 0.022369f, - 0.622559f, 0.020889f, 0.611816f, 0.019516f, 0.601074f, 0.018250f, 0.589355f, 0.017059f, - 0.578125f, 0.015961f, 0.565918f, 0.014946f, 0.554199f, 0.013992f, 0.542480f, 0.013107f, - 0.414551f, 0.584961f, 0.414551f, 0.584961f, 0.414795f, 0.584961f, 0.415039f, 0.583984f, - 0.416260f, 0.582031f, 0.418457f, 0.578613f, 0.420166f, 0.572754f, 0.424072f, 0.563965f, - 0.428467f, 0.552246f, 0.433838f, 0.537109f, 0.441162f, 0.518066f, 0.448730f, 0.497070f, - 0.458984f, 0.473633f, 0.467773f, 0.449219f, 0.480713f, 0.424072f, 0.497559f, 0.399414f, - 0.511719f, 0.375244f, 0.529297f, 0.352051f, 0.543945f, 0.329834f, 0.566895f, 0.308838f, - 0.581543f, 0.288574f, 0.598633f, 0.269531f, 0.619629f, 0.251465f, 0.635742f, 0.234497f, - 0.646973f, 0.218506f, 0.659668f, 0.203369f, 0.674805f, 0.189331f, 0.684570f, 0.176025f, - 0.695801f, 0.163696f, 0.707031f, 0.152222f, 0.718750f, 0.141357f, 0.723145f, 0.131348f, - 0.729004f, 0.122009f, 0.734375f, 0.113342f, 0.738281f, 0.105286f, 0.741211f, 0.097778f, - 0.743164f, 0.090820f, 0.744629f, 0.084412f, 0.744629f, 0.078430f, 0.743652f, 0.072876f, - 0.742676f, 0.067749f, 0.739746f, 0.062988f, 0.735840f, 0.058624f, 0.731934f, 0.054535f, - 0.727539f, 0.050751f, 0.721680f, 0.047241f, 0.715820f, 0.044006f, 0.709473f, 0.040985f, - 0.702148f, 0.038208f, 0.694824f, 0.035614f, 0.686523f, 0.033234f, 0.677734f, 0.031006f, - 0.668457f, 0.028946f, 0.659180f, 0.027023f, 0.649414f, 0.025238f, 0.639160f, 0.023590f, - 0.628906f, 0.022049f, 0.618164f, 0.020630f, 0.606934f, 0.019287f, 0.595703f, 0.018051f, - 0.584473f, 0.016907f, 0.572754f, 0.015839f, 0.561035f, 0.014839f, 0.549316f, 0.013908f, - 0.361816f, 0.637695f, 0.361816f, 0.637695f, 0.362061f, 0.637207f, 0.362793f, 0.636230f, - 0.364258f, 0.633301f, 0.366455f, 0.628906f, 0.369873f, 0.621094f, 0.374512f, 0.609375f, - 0.378906f, 0.593750f, 0.387451f, 0.573730f, 0.396484f, 0.550293f, 0.407471f, 0.524414f, - 0.419189f, 0.497314f, 0.433594f, 0.469971f, 0.453613f, 0.442627f, 0.473633f, 0.416016f, - 0.488037f, 0.390381f, 0.509277f, 0.365967f, 0.528809f, 0.343262f, 0.549805f, 0.320801f, - 0.574707f, 0.299805f, 0.590332f, 0.280029f, 0.609375f, 0.261475f, 0.631836f, 0.243774f, - 0.641602f, 0.227173f, 0.659668f, 0.211426f, 0.671387f, 0.196777f, 0.685059f, 0.183105f, - 0.698730f, 0.170166f, 0.705078f, 0.158203f, 0.715820f, 0.146973f, 0.723145f, 0.136597f, - 0.730469f, 0.126831f, 0.737793f, 0.117920f, 0.740723f, 0.109558f, 0.741699f, 0.101807f, - 0.745117f, 0.094604f, 0.747559f, 0.087891f, 0.747070f, 0.081726f, 0.747070f, 0.075989f, - 0.744141f, 0.070679f, 0.742676f, 0.065796f, 0.739258f, 0.061218f, 0.735840f, 0.056976f, - 0.730957f, 0.053070f, 0.725586f, 0.049438f, 0.719727f, 0.046082f, 0.713867f, 0.042938f, - 0.706543f, 0.040070f, 0.699219f, 0.037384f, 0.690918f, 0.034882f, 0.682617f, 0.032562f, - 0.673828f, 0.030426f, 0.664551f, 0.028442f, 0.654785f, 0.026581f, 0.645020f, 0.024857f, - 0.634766f, 0.023254f, 0.624023f, 0.021774f, 0.613281f, 0.020386f, 0.602051f, 0.019089f, - 0.590820f, 0.017899f, 0.579590f, 0.016769f, 0.567871f, 0.015732f, 0.556641f, 0.014755f, - 0.305420f, 0.694336f, 0.305420f, 0.694336f, 0.305664f, 0.693848f, 0.306641f, 0.691895f, - 0.308105f, 0.687988f, 0.311279f, 0.681152f, 0.316162f, 0.669922f, 0.321777f, 0.654297f, - 0.330078f, 0.632812f, 0.344238f, 0.606934f, 0.353027f, 0.578125f, 0.367432f, 0.547852f, - 0.385498f, 0.517578f, 0.405273f, 0.487793f, 0.422852f, 0.458496f, 0.448730f, 0.431152f, - 0.473633f, 0.404541f, 0.493896f, 0.379639f, 0.519531f, 0.355469f, 0.539551f, 0.332520f, - 0.563477f, 0.310791f, 0.583008f, 0.290283f, 0.604004f, 0.270752f, 0.626953f, 0.252686f, - 0.642090f, 0.235352f, 0.657715f, 0.218994f, 0.672852f, 0.203857f, 0.686523f, 0.189575f, - 0.699219f, 0.176270f, 0.707031f, 0.163818f, 0.717285f, 0.152344f, 0.723633f, 0.141602f, - 0.730469f, 0.131592f, 0.739258f, 0.122375f, 0.741699f, 0.113708f, 0.745605f, 0.105713f, - 0.747559f, 0.098267f, 0.748047f, 0.091370f, 0.749023f, 0.085022f, 0.748535f, 0.079102f, - 0.747070f, 0.073608f, 0.746582f, 0.068542f, 0.742188f, 0.063843f, 0.739258f, 0.059448f, - 0.734375f, 0.055420f, 0.730469f, 0.051666f, 0.724609f, 0.048187f, 0.717773f, 0.044952f, - 0.710938f, 0.041962f, 0.704102f, 0.039154f, 0.695801f, 0.036591f, 0.687988f, 0.034180f, - 0.679199f, 0.031952f, 0.670410f, 0.029892f, 0.660645f, 0.027969f, 0.650879f, 0.026184f, - 0.640625f, 0.024521f, 0.630371f, 0.022964f, 0.619629f, 0.021515f, 0.608887f, 0.020172f, - 0.598145f, 0.018921f, 0.586914f, 0.017761f, 0.575195f, 0.016663f, 0.563965f, 0.015656f, - 0.244995f, 0.754395f, 0.245117f, 0.754395f, 0.245483f, 0.753418f, 0.246704f, 0.750977f, - 0.249634f, 0.745117f, 0.253662f, 0.734863f, 0.260010f, 0.717773f, 0.268555f, 0.694336f, - 0.277344f, 0.665527f, 0.292480f, 0.632812f, 0.309814f, 0.599121f, 0.331787f, 0.565918f, - 0.352539f, 0.533203f, 0.376465f, 0.501953f, 0.405518f, 0.472412f, 0.433838f, 0.444336f, - 0.456787f, 0.417236f, 0.488281f, 0.391357f, 0.510254f, 0.366211f, 0.540039f, 0.343018f, - 0.564941f, 0.320557f, 0.579590f, 0.299561f, 0.606445f, 0.279541f, 0.627441f, 0.260498f, - 0.638184f, 0.242676f, 0.666504f, 0.226074f, 0.670898f, 0.210327f, 0.687988f, 0.195801f, - 0.700684f, 0.182129f, 0.706055f, 0.169312f, 0.718262f, 0.157471f, 0.727539f, 0.146362f, - 0.735840f, 0.136108f, 0.738770f, 0.126587f, 0.743164f, 0.117737f, 0.746582f, 0.109497f, - 0.751953f, 0.101868f, 0.751953f, 0.094788f, 0.753906f, 0.088257f, 0.752930f, 0.082153f, - 0.750977f, 0.076538f, 0.749512f, 0.071289f, 0.745605f, 0.066406f, 0.742188f, 0.061951f, - 0.738281f, 0.057770f, 0.734375f, 0.053894f, 0.729004f, 0.050293f, 0.722656f, 0.046967f, - 0.715332f, 0.043854f, 0.708496f, 0.040985f, 0.701172f, 0.038330f, 0.693359f, 0.035828f, - 0.684570f, 0.033539f, 0.676270f, 0.031403f, 0.666992f, 0.029404f, 0.657227f, 0.027542f, - 0.646973f, 0.025818f, 0.636719f, 0.024200f, 0.626465f, 0.022705f, 0.615723f, 0.021301f, - 0.604980f, 0.020004f, 0.593750f, 0.018784f, 0.582520f, 0.017654f, 0.571289f, 0.016586f, - 0.180542f, 0.818848f, 0.180664f, 0.818848f, 0.181274f, 0.817383f, 0.183350f, 0.812988f, - 0.187134f, 0.802734f, 0.193237f, 0.784180f, 0.201416f, 0.757324f, 0.214355f, 0.723145f, - 0.231445f, 0.685547f, 0.248901f, 0.648438f, 0.272217f, 0.611816f, 0.302979f, 0.577148f, - 0.329834f, 0.544922f, 0.364258f, 0.514160f, 0.394043f, 0.484619f, 0.425781f, 0.456055f, - 0.456543f, 0.428467f, 0.481934f, 0.402344f, 0.512207f, 0.376709f, 0.540039f, 0.352783f, - 0.566406f, 0.329346f, 0.579102f, 0.307617f, 0.607910f, 0.286865f, 0.627930f, 0.267822f, - 0.645996f, 0.249512f, 0.661621f, 0.232178f, 0.677734f, 0.216309f, 0.691406f, 0.201172f, - 0.702637f, 0.187256f, 0.711426f, 0.174194f, 0.721680f, 0.161987f, 0.730957f, 0.150879f, - 0.736328f, 0.140259f, 0.742188f, 0.130493f, 0.746582f, 0.121582f, 0.750488f, 0.113159f, - 0.751953f, 0.105347f, 0.752930f, 0.098083f, 0.756836f, 0.091370f, 0.755859f, 0.085144f, - 0.755371f, 0.079346f, 0.752441f, 0.073975f, 0.750488f, 0.069031f, 0.746582f, 0.064392f, - 0.743652f, 0.060120f, 0.737793f, 0.056152f, 0.733398f, 0.052460f, 0.727051f, 0.049011f, - 0.720215f, 0.045837f, 0.713867f, 0.042847f, 0.706543f, 0.040100f, 0.699219f, 0.037537f, - 0.690430f, 0.035156f, 0.682129f, 0.032928f, 0.672852f, 0.030884f, 0.663086f, 0.028961f, - 0.653809f, 0.027161f, 0.644043f, 0.025497f, 0.633301f, 0.023941f, 0.622559f, 0.022491f, - 0.612305f, 0.021133f, 0.601074f, 0.019867f, 0.590332f, 0.018692f, 0.579102f, 0.017578f, - 0.111816f, 0.888184f, 0.112000f, 0.887207f, 0.112976f, 0.883789f, 0.115845f, 0.873047f, - 0.122864f, 0.849609f, 0.133301f, 0.813477f, 0.147217f, 0.770996f, 0.167236f, 0.728027f, - 0.196411f, 0.688965f, 0.222290f, 0.653320f, 0.258057f, 0.619629f, 0.293457f, 0.587402f, - 0.328613f, 0.556152f, 0.361328f, 0.524902f, 0.392578f, 0.495850f, 0.430420f, 0.466064f, - 0.459961f, 0.437744f, 0.482422f, 0.410889f, 0.511230f, 0.385010f, 0.536621f, 0.359863f, - 0.568848f, 0.336182f, 0.592773f, 0.313721f, 0.614258f, 0.293213f, 0.626953f, 0.273193f, - 0.646484f, 0.254639f, 0.657227f, 0.237427f, 0.683105f, 0.221191f, 0.693359f, 0.205933f, - 0.698242f, 0.191772f, 0.709473f, 0.178589f, 0.724609f, 0.166260f, 0.733398f, 0.154907f, - 0.739746f, 0.144165f, 0.745605f, 0.134399f, 0.750977f, 0.125122f, 0.753906f, 0.116577f, - 0.754883f, 0.108704f, 0.758301f, 0.101257f, 0.759766f, 0.094482f, 0.757812f, 0.088074f, - 0.759766f, 0.082092f, 0.758301f, 0.076660f, 0.756348f, 0.071594f, 0.752441f, 0.066833f, - 0.748047f, 0.062469f, 0.741699f, 0.058380f, 0.736816f, 0.054596f, 0.732910f, 0.051086f, - 0.726074f, 0.047791f, 0.719727f, 0.044769f, 0.711914f, 0.041901f, 0.704590f, 0.039276f, - 0.696289f, 0.036804f, 0.688477f, 0.034546f, 0.678711f, 0.032410f, 0.669922f, 0.030411f, - 0.660156f, 0.028564f, 0.650391f, 0.026840f, 0.640625f, 0.025223f, 0.630371f, 0.023727f, - 0.619629f, 0.022324f, 0.608887f, 0.020996f, 0.597656f, 0.019775f, 0.586914f, 0.018631f, - 0.038452f, 0.960938f, 0.039124f, 0.957520f, 0.042480f, 0.933594f, 0.051575f, 0.879395f, - 0.069275f, 0.824219f, 0.091064f, 0.785156f, 0.126343f, 0.753906f, 0.154419f, 0.725586f, - 0.192139f, 0.695312f, 0.234375f, 0.663086f, 0.273438f, 0.630371f, 0.305908f, 0.597656f, - 0.338379f, 0.565430f, 0.379150f, 0.532227f, 0.413818f, 0.501465f, 0.444336f, 0.471191f, - 0.471436f, 0.442383f, 0.504395f, 0.414795f, 0.531250f, 0.388672f, 0.547363f, 0.364014f, - 0.579590f, 0.340088f, 0.603516f, 0.317627f, 0.622559f, 0.297119f, 0.635742f, 0.276855f, - 0.669434f, 0.258301f, 0.670410f, 0.241089f, 0.685547f, 0.224854f, 0.699219f, 0.209717f, - 0.712402f, 0.195190f, 0.720703f, 0.182373f, 0.729980f, 0.169678f, 0.746582f, 0.158325f, - 0.744629f, 0.147705f, 0.748535f, 0.137695f, 0.760254f, 0.128296f, 0.757812f, 0.119629f, - 0.761230f, 0.111755f, 0.762207f, 0.104248f, 0.764160f, 0.097290f, 0.763184f, 0.090881f, - 0.762207f, 0.084900f, 0.760742f, 0.079285f, 0.759766f, 0.074097f, 0.755859f, 0.069275f, - 0.752930f, 0.064758f, 0.747559f, 0.060669f, 0.742676f, 0.056793f, 0.737305f, 0.053131f, - 0.731445f, 0.049774f, 0.725586f, 0.046661f, 0.718262f, 0.043732f, 0.710449f, 0.041077f, - 0.702637f, 0.038544f, 0.694336f, 0.036163f, 0.685547f, 0.033966f, 0.676758f, 0.031921f, - 0.667480f, 0.030014f, 0.657715f, 0.028229f, 0.647461f, 0.026566f, 0.637207f, 0.025009f, - 0.626953f, 0.023544f, 0.616699f, 0.022186f, 0.605957f, 0.020920f, 0.594727f, 0.019730f, + 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, + 1.000000f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, + 0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000001f, + 0.998047f, 0.000001f, 0.997559f, 0.000002f, 0.997070f, 0.000003f, 0.996094f, 0.000004f, + 0.994629f, 0.000004f, 0.993652f, 0.000006f, 0.991699f, 0.000007f, 0.989746f, 0.000008f, + 0.987305f, 0.000010f, 0.984375f, 0.000012f, 0.980957f, 0.000013f, 0.977539f, 0.000016f, + 0.973145f, 0.000018f, 0.967773f, 0.000020f, 0.961914f, 0.000023f, 0.955566f, 0.000025f, + 0.947754f, 0.000028f, 0.939941f, 0.000031f, 0.930664f, 0.000033f, 0.920410f, 0.000036f, + 0.909180f, 0.000039f, 0.896973f, 0.000042f, 0.884277f, 0.000044f, 0.870117f, 0.000047f, + 0.854980f, 0.000049f, 0.838867f, 0.000051f, 0.821777f, 0.000053f, 0.803711f, 0.000055f, + 0.785156f, 0.000057f, 0.765625f, 0.000058f, 0.745605f, 0.000059f, 0.724609f, 0.000060f, + 0.703613f, 0.000061f, 0.681641f, 0.000061f, 0.659668f, 0.000061f, 0.637695f, 0.000061f, + 0.615234f, 0.000061f, 0.592773f, 0.000060f, 0.570801f, 0.000060f, 0.548340f, 0.000059f, + 0.526855f, 0.000058f, 0.504883f, 0.000057f, 0.483887f, 0.000055f, 0.462891f, 0.000054f, + 0.442627f, 0.000053f, 0.422607f, 0.000051f, 0.403320f, 0.000050f, 0.384766f, 0.000048f, + 0.366455f, 0.000046f, 0.348877f, 0.000045f, 0.332031f, 0.000043f, 0.315918f, 0.000041f, + 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, + 0.999512f, 0.000000f, 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, + 0.999512f, 0.000000f, 0.999023f, 0.000001f, 0.999023f, 0.000001f, 0.998535f, 0.000002f, + 0.998047f, 0.000003f, 0.997559f, 0.000004f, 0.997070f, 0.000005f, 0.996094f, 0.000006f, + 0.994629f, 0.000008f, 0.993164f, 0.000010f, 0.991699f, 0.000012f, 0.989746f, 0.000015f, + 0.987305f, 0.000018f, 0.984375f, 0.000020f, 0.980957f, 0.000024f, 0.977051f, 0.000027f, + 0.972168f, 0.000031f, 0.967285f, 0.000035f, 0.961426f, 0.000039f, 0.954590f, 0.000043f, + 0.947266f, 0.000048f, 0.938965f, 0.000052f, 0.929199f, 0.000057f, 0.919434f, 0.000061f, + 0.908203f, 0.000065f, 0.895996f, 0.000069f, 0.882812f, 0.000073f, 0.868652f, 0.000077f, + 0.853027f, 0.000080f, 0.837402f, 0.000083f, 0.820312f, 0.000086f, 0.802246f, 0.000088f, + 0.783691f, 0.000090f, 0.764160f, 0.000092f, 0.744141f, 0.000093f, 0.723633f, 0.000093f, + 0.702637f, 0.000094f, 0.681152f, 0.000094f, 0.659180f, 0.000093f, 0.637207f, 0.000093f, + 0.615234f, 0.000091f, 0.593262f, 0.000090f, 0.571289f, 0.000088f, 0.549316f, 0.000087f, + 0.527344f, 0.000085f, 0.505859f, 0.000082f, 0.485107f, 0.000080f, 0.464355f, 0.000078f, + 0.444336f, 0.000075f, 0.424561f, 0.000072f, 0.405273f, 0.000070f, 0.386719f, 0.000067f, + 0.368652f, 0.000065f, 0.351318f, 0.000062f, 0.334473f, 0.000059f, 0.318115f, 0.000057f, + 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f, + 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000001f, 0.999512f, 0.000001f, + 0.999512f, 0.000001f, 0.999512f, 0.000003f, 0.999023f, 0.000002f, 0.998535f, 0.000004f, + 0.998047f, 0.000005f, 0.997559f, 0.000007f, 0.997070f, 0.000009f, 0.996094f, 0.000011f, + 0.994629f, 0.000013f, 0.993164f, 0.000017f, 0.991211f, 0.000020f, 0.989258f, 0.000024f, + 0.986816f, 0.000028f, 0.983887f, 0.000033f, 0.980469f, 0.000038f, 0.976562f, 0.000043f, + 0.971680f, 0.000049f, 0.966797f, 0.000055f, 0.960449f, 0.000062f, 0.953613f, 0.000068f, + 0.946289f, 0.000075f, 0.937500f, 0.000081f, 0.928223f, 0.000088f, 0.917969f, 0.000094f, + 0.906738f, 0.000100f, 0.894531f, 0.000106f, 0.880859f, 0.000111f, 0.866699f, 0.000116f, + 0.851562f, 0.000120f, 0.835449f, 0.000124f, 0.818359f, 0.000127f, 0.800781f, 0.000130f, + 0.782227f, 0.000132f, 0.762695f, 0.000134f, 0.742676f, 0.000134f, 0.722656f, 0.000135f, + 0.701660f, 0.000134f, 0.680176f, 0.000133f, 0.658691f, 0.000132f, 0.636719f, 0.000130f, + 0.615234f, 0.000128f, 0.593262f, 0.000125f, 0.571289f, 0.000123f, 0.549805f, 0.000119f, + 0.528320f, 0.000116f, 0.507324f, 0.000112f, 0.486328f, 0.000109f, 0.466064f, 0.000105f, + 0.446045f, 0.000101f, 0.426514f, 0.000097f, 0.407471f, 0.000093f, 0.388916f, 0.000089f, + 0.370850f, 0.000085f, 0.353516f, 0.000082f, 0.336914f, 0.000078f, 0.320557f, 0.000074f, + 1.000000f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, + 1.000000f, 0.000000f, 1.000000f, 0.000001f, 0.999512f, 0.000001f, 0.999512f, 0.000002f, + 0.999512f, 0.000002f, 0.999023f, 0.000003f, 0.999023f, 0.000005f, 0.998535f, 0.000006f, + 0.998535f, 0.000008f, 0.997559f, 0.000011f, 0.997070f, 0.000014f, 0.996094f, 0.000017f, + 0.994629f, 0.000020f, 0.993164f, 0.000026f, 0.991211f, 0.000030f, 0.989258f, 0.000036f, + 0.986816f, 0.000043f, 0.983398f, 0.000050f, 0.979980f, 0.000058f, 0.976074f, 0.000066f, + 0.971191f, 0.000074f, 0.965820f, 0.000082f, 0.959961f, 0.000093f, 0.952637f, 0.000101f, + 0.945312f, 0.000111f, 0.936523f, 0.000120f, 0.927246f, 0.000129f, 0.916504f, 0.000137f, + 0.905273f, 0.000145f, 0.892578f, 0.000153f, 0.879395f, 0.000160f, 0.865234f, 0.000166f, + 0.850098f, 0.000171f, 0.833984f, 0.000176f, 0.816895f, 0.000179f, 0.799316f, 0.000182f, + 0.780762f, 0.000184f, 0.761230f, 0.000185f, 0.741699f, 0.000185f, 0.721191f, 0.000184f, + 0.700684f, 0.000183f, 0.679688f, 0.000181f, 0.658203f, 0.000178f, 0.636719f, 0.000175f, + 0.615234f, 0.000171f, 0.593262f, 0.000167f, 0.571777f, 0.000162f, 0.550293f, 0.000158f, + 0.529297f, 0.000152f, 0.508301f, 0.000147f, 0.487793f, 0.000142f, 0.467529f, 0.000136f, + 0.447754f, 0.000131f, 0.428223f, 0.000125f, 0.409424f, 0.000120f, 0.391113f, 0.000115f, + 0.373291f, 0.000109f, 0.355957f, 0.000104f, 0.339355f, 0.000099f, 0.323242f, 0.000094f, + 0.999512f, 0.000002f, 0.999512f, 0.000002f, 1.000000f, 0.000002f, 0.999512f, 0.000002f, + 1.000000f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000002f, 0.999512f, 0.000003f, + 0.999512f, 0.000004f, 0.999512f, 0.000005f, 0.999023f, 0.000007f, 0.998535f, 0.000010f, + 0.998047f, 0.000012f, 0.997559f, 0.000017f, 0.996582f, 0.000020f, 0.995605f, 0.000025f, + 0.994629f, 0.000032f, 0.993164f, 0.000038f, 0.991211f, 0.000047f, 0.988770f, 0.000055f, + 0.986328f, 0.000063f, 0.983398f, 0.000074f, 0.979492f, 0.000085f, 0.975586f, 0.000095f, + 0.970703f, 0.000108f, 0.965332f, 0.000121f, 0.958984f, 0.000132f, 0.952148f, 0.000145f, + 0.944336f, 0.000157f, 0.935547f, 0.000170f, 0.925781f, 0.000181f, 0.915039f, 0.000192f, + 0.903809f, 0.000203f, 0.891113f, 0.000212f, 0.877930f, 0.000220f, 0.863281f, 0.000227f, + 0.848145f, 0.000234f, 0.832031f, 0.000239f, 0.814941f, 0.000242f, 0.797363f, 0.000245f, + 0.778809f, 0.000247f, 0.759766f, 0.000247f, 0.740234f, 0.000246f, 0.720215f, 0.000244f, + 0.699707f, 0.000241f, 0.678711f, 0.000237f, 0.657715f, 0.000233f, 0.636230f, 0.000228f, + 0.614746f, 0.000222f, 0.593750f, 0.000216f, 0.572266f, 0.000209f, 0.551270f, 0.000202f, + 0.530273f, 0.000195f, 0.509277f, 0.000187f, 0.489014f, 0.000180f, 0.468994f, 0.000172f, + 0.449463f, 0.000165f, 0.430176f, 0.000157f, 0.411377f, 0.000150f, 0.393311f, 0.000143f, + 0.375488f, 0.000136f, 0.358398f, 0.000129f, 0.341797f, 0.000123f, 0.325684f, 0.000116f, + 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000005f, + 0.999512f, 0.000005f, 0.999512f, 0.000005f, 0.999512f, 0.000006f, 0.999512f, 0.000007f, + 0.999512f, 0.000008f, 0.999512f, 0.000011f, 0.999023f, 0.000013f, 0.998535f, 0.000015f, + 0.998047f, 0.000019f, 0.997559f, 0.000026f, 0.996582f, 0.000033f, 0.995605f, 0.000040f, + 0.994141f, 0.000047f, 0.993164f, 0.000058f, 0.991211f, 0.000069f, 0.988770f, 0.000080f, + 0.985840f, 0.000093f, 0.982910f, 0.000106f, 0.979004f, 0.000121f, 0.975098f, 0.000137f, + 0.970215f, 0.000153f, 0.964355f, 0.000169f, 0.958008f, 0.000186f, 0.951172f, 0.000201f, + 0.943359f, 0.000218f, 0.934082f, 0.000233f, 0.924316f, 0.000248f, 0.914062f, 0.000262f, + 0.902344f, 0.000275f, 0.889648f, 0.000286f, 0.875977f, 0.000295f, 0.861816f, 0.000304f, + 0.846680f, 0.000311f, 0.830566f, 0.000316f, 0.813477f, 0.000319f, 0.795898f, 0.000321f, + 0.777344f, 0.000322f, 0.758301f, 0.000320f, 0.739258f, 0.000318f, 0.719238f, 0.000314f, + 0.698730f, 0.000309f, 0.678223f, 0.000303f, 0.657227f, 0.000296f, 0.636230f, 0.000288f, + 0.614746f, 0.000280f, 0.593750f, 0.000271f, 0.572754f, 0.000262f, 0.551758f, 0.000252f, + 0.531250f, 0.000243f, 0.510742f, 0.000233f, 0.490479f, 0.000223f, 0.470703f, 0.000213f, + 0.451172f, 0.000203f, 0.432129f, 0.000194f, 0.413574f, 0.000184f, 0.395508f, 0.000175f, + 0.377930f, 0.000166f, 0.360840f, 0.000157f, 0.344238f, 0.000149f, 0.328125f, 0.000141f, + 0.999512f, 0.000011f, 0.999512f, 0.000011f, 0.999512f, 0.000011f, 0.999512f, 0.000011f, + 0.999512f, 0.000011f, 0.999512f, 0.000012f, 0.999512f, 0.000014f, 0.999512f, 0.000015f, + 0.999512f, 0.000017f, 0.999023f, 0.000020f, 0.998535f, 0.000022f, 0.998535f, 0.000028f, + 0.998047f, 0.000034f, 0.997559f, 0.000042f, 0.996582f, 0.000050f, 0.995605f, 0.000060f, + 0.994141f, 0.000072f, 0.992676f, 0.000084f, 0.990723f, 0.000099f, 0.988281f, 0.000115f, + 0.985840f, 0.000133f, 0.982422f, 0.000150f, 0.978516f, 0.000171f, 0.974609f, 0.000191f, + 0.969238f, 0.000211f, 0.963867f, 0.000232f, 0.957520f, 0.000253f, 0.950195f, 0.000274f, + 0.941895f, 0.000294f, 0.933105f, 0.000314f, 0.922852f, 0.000332f, 0.912109f, 0.000348f, + 0.900879f, 0.000363f, 0.888184f, 0.000377f, 0.874512f, 0.000387f, 0.859863f, 0.000397f, + 0.844727f, 0.000404f, 0.828613f, 0.000408f, 0.811523f, 0.000411f, 0.793945f, 0.000412f, + 0.775879f, 0.000411f, 0.756836f, 0.000407f, 0.737793f, 0.000403f, 0.717773f, 0.000396f, + 0.697754f, 0.000389f, 0.677246f, 0.000380f, 0.656738f, 0.000370f, 0.635742f, 0.000359f, + 0.614746f, 0.000347f, 0.594238f, 0.000335f, 0.573242f, 0.000323f, 0.552734f, 0.000310f, + 0.532227f, 0.000297f, 0.511719f, 0.000284f, 0.491943f, 0.000272f, 0.472412f, 0.000259f, + 0.453125f, 0.000246f, 0.434082f, 0.000234f, 0.415771f, 0.000222f, 0.397705f, 0.000211f, + 0.380127f, 0.000199f, 0.363281f, 0.000189f, 0.346680f, 0.000178f, 0.330811f, 0.000168f, + 0.999512f, 0.000022f, 0.999512f, 0.000022f, 0.999512f, 0.000022f, 0.999512f, 0.000022f, + 0.999512f, 0.000023f, 0.999512f, 0.000025f, 0.999512f, 0.000024f, 0.999512f, 0.000028f, + 0.999023f, 0.000030f, 0.999023f, 0.000035f, 0.999023f, 0.000040f, 0.998535f, 0.000046f, + 0.998047f, 0.000056f, 0.997559f, 0.000063f, 0.996094f, 0.000077f, 0.995605f, 0.000089f, + 0.994141f, 0.000106f, 0.992188f, 0.000123f, 0.990234f, 0.000143f, 0.987793f, 0.000163f, + 0.985352f, 0.000185f, 0.981934f, 0.000211f, 0.978027f, 0.000236f, 0.973633f, 0.000261f, + 0.968750f, 0.000288f, 0.962891f, 0.000314f, 0.956055f, 0.000341f, 0.949219f, 0.000366f, + 0.940918f, 0.000391f, 0.931641f, 0.000414f, 0.921875f, 0.000436f, 0.910645f, 0.000455f, + 0.898926f, 0.000471f, 0.886230f, 0.000487f, 0.872559f, 0.000499f, 0.858398f, 0.000509f, + 0.842773f, 0.000515f, 0.826660f, 0.000518f, 0.810059f, 0.000520f, 0.792480f, 0.000519f, + 0.774414f, 0.000515f, 0.755371f, 0.000509f, 0.736328f, 0.000501f, 0.716797f, 0.000492f, + 0.696777f, 0.000480f, 0.676758f, 0.000468f, 0.656250f, 0.000454f, 0.635742f, 0.000439f, + 0.615234f, 0.000424f, 0.594238f, 0.000408f, 0.573730f, 0.000392f, 0.553223f, 0.000375f, + 0.533203f, 0.000359f, 0.513184f, 0.000342f, 0.493408f, 0.000326f, 0.474121f, 0.000310f, + 0.455078f, 0.000294f, 0.436279f, 0.000279f, 0.417969f, 0.000264f, 0.400146f, 0.000250f, + 0.382812f, 0.000237f, 0.365723f, 0.000223f, 0.349365f, 0.000211f, 0.333496f, 0.000199f, + 0.999512f, 0.000041f, 0.999512f, 0.000041f, 0.999512f, 0.000041f, 0.999512f, 0.000042f, + 0.999512f, 0.000042f, 0.999512f, 0.000044f, 0.999512f, 0.000046f, 0.999512f, 0.000049f, + 0.999512f, 0.000054f, 0.999512f, 0.000059f, 0.999023f, 0.000065f, 0.998535f, 0.000076f, + 0.998047f, 0.000087f, 0.997070f, 0.000098f, 0.996582f, 0.000117f, 0.995117f, 0.000135f, + 0.993652f, 0.000152f, 0.992188f, 0.000176f, 0.989746f, 0.000201f, 0.987793f, 0.000228f, + 0.984863f, 0.000256f, 0.981445f, 0.000286f, 0.977539f, 0.000318f, 0.973145f, 0.000352f, + 0.967773f, 0.000384f, 0.961914f, 0.000417f, 0.955566f, 0.000451f, 0.947754f, 0.000481f, + 0.939453f, 0.000510f, 0.930176f, 0.000537f, 0.919922f, 0.000563f, 0.909180f, 0.000585f, + 0.897461f, 0.000604f, 0.884766f, 0.000620f, 0.871094f, 0.000632f, 0.856445f, 0.000641f, + 0.841309f, 0.000647f, 0.825195f, 0.000648f, 0.808105f, 0.000648f, 0.790527f, 0.000643f, + 0.772949f, 0.000637f, 0.754395f, 0.000627f, 0.735352f, 0.000615f, 0.715820f, 0.000601f, + 0.695801f, 0.000585f, 0.675781f, 0.000568f, 0.655762f, 0.000550f, 0.635742f, 0.000530f, + 0.615234f, 0.000510f, 0.594727f, 0.000490f, 0.574707f, 0.000469f, 0.554199f, 0.000448f, + 0.534180f, 0.000428f, 0.514648f, 0.000407f, 0.495117f, 0.000387f, 0.475830f, 0.000367f, + 0.456787f, 0.000348f, 0.438232f, 0.000329f, 0.420166f, 0.000311f, 0.402344f, 0.000294f, + 0.385254f, 0.000277f, 0.368408f, 0.000262f, 0.352051f, 0.000246f, 0.336182f, 0.000232f, + 0.999512f, 0.000072f, 0.999512f, 0.000072f, 0.999512f, 0.000072f, 0.999512f, 0.000072f, + 0.999512f, 0.000073f, 0.999512f, 0.000076f, 0.999512f, 0.000078f, 0.999512f, 0.000082f, + 0.999023f, 0.000086f, 0.999023f, 0.000095f, 0.998535f, 0.000102f, 0.998047f, 0.000116f, + 0.998047f, 0.000131f, 0.997070f, 0.000147f, 0.996094f, 0.000167f, 0.995117f, 0.000195f, + 0.993652f, 0.000219f, 0.991699f, 0.000246f, 0.989746f, 0.000278f, 0.987305f, 0.000315f, + 0.984375f, 0.000350f, 0.980957f, 0.000385f, 0.976562f, 0.000427f, 0.972168f, 0.000467f, + 0.967285f, 0.000509f, 0.960938f, 0.000548f, 0.954102f, 0.000587f, 0.946777f, 0.000623f, + 0.937988f, 0.000657f, 0.928711f, 0.000690f, 0.918457f, 0.000718f, 0.907715f, 0.000741f, + 0.895508f, 0.000762f, 0.882812f, 0.000778f, 0.869141f, 0.000791f, 0.854492f, 0.000798f, + 0.839355f, 0.000802f, 0.823242f, 0.000801f, 0.806152f, 0.000796f, 0.789062f, 0.000788f, + 0.770996f, 0.000777f, 0.752930f, 0.000762f, 0.733887f, 0.000745f, 0.714844f, 0.000726f, + 0.695312f, 0.000704f, 0.675293f, 0.000682f, 0.655273f, 0.000658f, 0.635254f, 0.000633f, + 0.615234f, 0.000607f, 0.595215f, 0.000582f, 0.575195f, 0.000556f, 0.555176f, 0.000530f, + 0.535645f, 0.000504f, 0.515625f, 0.000479f, 0.496582f, 0.000455f, 0.477539f, 0.000431f, + 0.458984f, 0.000407f, 0.440430f, 0.000385f, 0.422363f, 0.000363f, 0.404785f, 0.000343f, + 0.387695f, 0.000323f, 0.370850f, 0.000304f, 0.354736f, 0.000286f, 0.338867f, 0.000268f, + 0.999512f, 0.000119f, 0.999512f, 0.000119f, 0.999512f, 0.000119f, 0.999512f, 0.000119f, + 0.999512f, 0.000121f, 0.999512f, 0.000122f, 0.999512f, 0.000128f, 0.999512f, 0.000131f, + 0.999512f, 0.000139f, 0.999023f, 0.000149f, 0.998535f, 0.000161f, 0.998047f, 0.000179f, + 0.998047f, 0.000194f, 0.997070f, 0.000220f, 0.996094f, 0.000247f, 0.994629f, 0.000275f, + 0.993652f, 0.000309f, 0.991699f, 0.000344f, 0.989746f, 0.000385f, 0.986816f, 0.000429f, + 0.983887f, 0.000471f, 0.980469f, 0.000519f, 0.976074f, 0.000565f, 0.971680f, 0.000614f, + 0.966309f, 0.000664f, 0.959961f, 0.000710f, 0.953125f, 0.000754f, 0.945312f, 0.000797f, + 0.936523f, 0.000837f, 0.927246f, 0.000873f, 0.916992f, 0.000902f, 0.905762f, 0.000929f, + 0.893555f, 0.000950f, 0.880859f, 0.000966f, 0.866699f, 0.000977f, 0.852539f, 0.000981f, + 0.836914f, 0.000981f, 0.821289f, 0.000977f, 0.804688f, 0.000968f, 0.787109f, 0.000955f, + 0.769531f, 0.000937f, 0.751465f, 0.000917f, 0.732422f, 0.000894f, 0.713379f, 0.000868f, + 0.694336f, 0.000840f, 0.674805f, 0.000811f, 0.655273f, 0.000780f, 0.635254f, 0.000749f, + 0.615723f, 0.000716f, 0.595703f, 0.000685f, 0.575684f, 0.000653f, 0.556152f, 0.000621f, + 0.536621f, 0.000590f, 0.517090f, 0.000559f, 0.498291f, 0.000530f, 0.479492f, 0.000501f, + 0.460938f, 0.000473f, 0.442627f, 0.000446f, 0.424805f, 0.000420f, 0.407227f, 0.000396f, + 0.390137f, 0.000373f, 0.373535f, 0.000350f, 0.357422f, 0.000329f, 0.341553f, 0.000309f, + 0.999512f, 0.000187f, 0.999512f, 0.000187f, 0.999512f, 0.000188f, 0.999512f, 0.000188f, + 0.999512f, 0.000190f, 0.999512f, 0.000194f, 0.999512f, 0.000201f, 0.999023f, 0.000204f, + 0.999023f, 0.000213f, 0.999023f, 0.000228f, 0.998535f, 0.000242f, 0.998535f, 0.000264f, + 0.997559f, 0.000285f, 0.997070f, 0.000311f, 0.996094f, 0.000351f, 0.995117f, 0.000386f, + 0.993164f, 0.000429f, 0.991211f, 0.000470f, 0.989258f, 0.000520f, 0.986328f, 0.000575f, + 0.983398f, 0.000628f, 0.979492f, 0.000683f, 0.975586f, 0.000741f, 0.970703f, 0.000801f, + 0.965332f, 0.000855f, 0.958984f, 0.000910f, 0.951660f, 0.000961f, 0.943848f, 0.001009f, + 0.935059f, 0.001053f, 0.925781f, 0.001090f, 0.915039f, 0.001123f, 0.903809f, 0.001152f, + 0.891602f, 0.001172f, 0.878906f, 0.001186f, 0.864746f, 0.001194f, 0.850586f, 0.001195f, + 0.835449f, 0.001191f, 0.819336f, 0.001181f, 0.802734f, 0.001164f, 0.785645f, 0.001144f, + 0.768066f, 0.001121f, 0.750000f, 0.001092f, 0.731445f, 0.001061f, 0.712402f, 0.001027f, + 0.693359f, 0.000992f, 0.674316f, 0.000955f, 0.654785f, 0.000916f, 0.635254f, 0.000877f, + 0.615723f, 0.000838f, 0.596191f, 0.000799f, 0.576660f, 0.000760f, 0.557129f, 0.000721f, + 0.538086f, 0.000684f, 0.518555f, 0.000648f, 0.500000f, 0.000612f, 0.481445f, 0.000578f, + 0.462891f, 0.000545f, 0.444824f, 0.000513f, 0.427246f, 0.000483f, 0.409912f, 0.000454f, + 0.392822f, 0.000427f, 0.376221f, 0.000401f, 0.360107f, 0.000376f, 0.344482f, 0.000353f, + 0.999512f, 0.000284f, 0.999512f, 0.000284f, 0.999512f, 0.000284f, 0.999512f, 0.000285f, + 0.999512f, 0.000287f, 0.999512f, 0.000292f, 0.999512f, 0.000296f, 0.999023f, 0.000307f, + 0.999023f, 0.000320f, 0.999023f, 0.000338f, 0.998535f, 0.000349f, 0.998047f, 0.000381f, + 0.997559f, 0.000407f, 0.996582f, 0.000447f, 0.995605f, 0.000480f, 0.994629f, 0.000531f, + 0.992676f, 0.000579f, 0.990723f, 0.000637f, 0.988770f, 0.000693f, 0.985840f, 0.000755f, + 0.982422f, 0.000824f, 0.979004f, 0.000889f, 0.975098f, 0.000958f, 0.969727f, 0.001024f, + 0.963867f, 0.001090f, 0.957520f, 0.001152f, 0.950684f, 0.001211f, 0.942383f, 0.001263f, + 0.933594f, 0.001309f, 0.923828f, 0.001353f, 0.913086f, 0.001387f, 0.901855f, 0.001413f, + 0.889648f, 0.001432f, 0.876465f, 0.001443f, 0.862793f, 0.001446f, 0.848145f, 0.001442f, + 0.833008f, 0.001431f, 0.817383f, 0.001413f, 0.800781f, 0.001390f, 0.783691f, 0.001362f, + 0.766113f, 0.001328f, 0.748535f, 0.001291f, 0.729980f, 0.001250f, 0.711426f, 0.001207f, + 0.692871f, 0.001163f, 0.673828f, 0.001116f, 0.654785f, 0.001068f, 0.635254f, 0.001020f, + 0.616211f, 0.000973f, 0.596680f, 0.000926f, 0.577637f, 0.000878f, 0.558105f, 0.000833f, + 0.539062f, 0.000788f, 0.520508f, 0.000745f, 0.501465f, 0.000702f, 0.483154f, 0.000663f, + 0.465088f, 0.000624f, 0.447266f, 0.000587f, 0.429443f, 0.000552f, 0.412354f, 0.000518f, + 0.395508f, 0.000486f, 0.378906f, 0.000456f, 0.363037f, 0.000427f, 0.347168f, 0.000400f, + 0.999512f, 0.000417f, 0.999512f, 0.000417f, 0.999512f, 0.000418f, 0.999512f, 0.000419f, + 0.999512f, 0.000422f, 0.999512f, 0.000425f, 0.999023f, 0.000434f, 0.999023f, 0.000447f, + 0.999023f, 0.000462f, 0.999023f, 0.000480f, 0.998047f, 0.000508f, 0.998047f, 0.000538f, + 0.997070f, 0.000576f, 0.996582f, 0.000621f, 0.995605f, 0.000669f, 0.993652f, 0.000721f, + 0.992188f, 0.000784f, 0.990723f, 0.000849f, 0.987793f, 0.000918f, 0.985840f, 0.000996f, + 0.982422f, 0.001071f, 0.978516f, 0.001148f, 0.973633f, 0.001225f, 0.968750f, 0.001304f, + 0.962891f, 0.001378f, 0.956543f, 0.001447f, 0.948730f, 0.001511f, 0.940918f, 0.001568f, + 0.931641f, 0.001617f, 0.921875f, 0.001660f, 0.911621f, 0.001697f, 0.899902f, 0.001719f, + 0.887695f, 0.001735f, 0.874512f, 0.001740f, 0.860840f, 0.001738f, 0.846191f, 0.001725f, + 0.831055f, 0.001706f, 0.815430f, 0.001679f, 0.798828f, 0.001646f, 0.782227f, 0.001607f, + 0.764648f, 0.001562f, 0.747070f, 0.001514f, 0.729004f, 0.001462f, 0.710449f, 0.001409f, + 0.691895f, 0.001352f, 0.673340f, 0.001295f, 0.654297f, 0.001237f, 0.635254f, 0.001179f, + 0.616211f, 0.001122f, 0.597168f, 0.001065f, 0.578125f, 0.001010f, 0.559570f, 0.000955f, + 0.540527f, 0.000902f, 0.521973f, 0.000852f, 0.503418f, 0.000803f, 0.485352f, 0.000755f, + 0.467285f, 0.000710f, 0.449463f, 0.000668f, 0.431885f, 0.000626f, 0.414795f, 0.000587f, + 0.398193f, 0.000551f, 0.381836f, 0.000516f, 0.365723f, 0.000483f, 0.350098f, 0.000452f, + 0.999023f, 0.000597f, 0.999023f, 0.000597f, 0.999023f, 0.000597f, 0.999023f, 0.000598f, + 0.999023f, 0.000602f, 0.999023f, 0.000610f, 0.999023f, 0.000618f, 0.999023f, 0.000632f, + 0.998535f, 0.000651f, 0.998535f, 0.000675f, 0.998047f, 0.000704f, 0.997559f, 0.000742f, + 0.997070f, 0.000787f, 0.996094f, 0.000843f, 0.995117f, 0.000902f, 0.993652f, 0.000966f, + 0.992188f, 0.001039f, 0.990234f, 0.001117f, 0.987793f, 0.001197f, 0.984863f, 0.001286f, + 0.981445f, 0.001372f, 0.977539f, 0.001464f, 0.972656f, 0.001553f, 0.967773f, 0.001639f, + 0.961914f, 0.001722f, 0.955078f, 0.001798f, 0.947754f, 0.001868f, 0.938965f, 0.001928f, + 0.930176f, 0.001982f, 0.920410f, 0.002026f, 0.909668f, 0.002056f, 0.897949f, 0.002075f, + 0.885254f, 0.002085f, 0.872559f, 0.002083f, 0.858398f, 0.002071f, 0.844238f, 0.002048f, + 0.828613f, 0.002018f, 0.812988f, 0.001980f, 0.796875f, 0.001934f, 0.780273f, 0.001883f, + 0.763184f, 0.001824f, 0.745605f, 0.001763f, 0.728027f, 0.001698f, 0.709473f, 0.001632f, + 0.691406f, 0.001563f, 0.672852f, 0.001494f, 0.654297f, 0.001422f, 0.635254f, 0.001355f, + 0.616699f, 0.001286f, 0.598145f, 0.001218f, 0.579102f, 0.001152f, 0.560547f, 0.001089f, + 0.541992f, 0.001027f, 0.523438f, 0.000968f, 0.505371f, 0.000911f, 0.487305f, 0.000857f, + 0.469482f, 0.000804f, 0.451904f, 0.000755f, 0.434570f, 0.000708f, 0.417480f, 0.000663f, + 0.400879f, 0.000621f, 0.384521f, 0.000581f, 0.368652f, 0.000544f, 0.353027f, 0.000508f, + 0.999023f, 0.000833f, 0.999023f, 0.000833f, 0.999023f, 0.000834f, 0.999023f, 0.000835f, + 0.999023f, 0.000840f, 0.999023f, 0.000845f, 0.998535f, 0.000861f, 0.998535f, 0.000875f, + 0.998535f, 0.000897f, 0.998047f, 0.000928f, 0.997559f, 0.000965f, 0.997070f, 0.001007f, + 0.996582f, 0.001061f, 0.995605f, 0.001128f, 0.994629f, 0.001195f, 0.993164f, 0.001276f, + 0.991699f, 0.001362f, 0.989258f, 0.001453f, 0.986816f, 0.001539f, 0.983887f, 0.001645f, + 0.980469f, 0.001747f, 0.976562f, 0.001849f, 0.971680f, 0.001945f, 0.966309f, 0.002045f, + 0.959961f, 0.002136f, 0.953613f, 0.002218f, 0.945801f, 0.002291f, 0.937500f, 0.002357f, + 0.928223f, 0.002407f, 0.917969f, 0.002447f, 0.907227f, 0.002472f, 0.895508f, 0.002487f, + 0.883301f, 0.002485f, 0.870117f, 0.002474f, 0.856445f, 0.002451f, 0.841797f, 0.002417f, + 0.826660f, 0.002373f, 0.811035f, 0.002317f, 0.794922f, 0.002258f, 0.778320f, 0.002190f, + 0.761230f, 0.002117f, 0.744141f, 0.002041f, 0.726562f, 0.001961f, 0.708496f, 0.001880f, + 0.690430f, 0.001796f, 0.672363f, 0.001713f, 0.654297f, 0.001630f, 0.635742f, 0.001547f, + 0.617188f, 0.001466f, 0.598633f, 0.001387f, 0.580078f, 0.001310f, 0.561523f, 0.001235f, + 0.543457f, 0.001164f, 0.524902f, 0.001095f, 0.507324f, 0.001029f, 0.489258f, 0.000967f, + 0.471680f, 0.000906f, 0.454346f, 0.000850f, 0.437012f, 0.000796f, 0.420166f, 0.000745f, + 0.403564f, 0.000698f, 0.387451f, 0.000652f, 0.371582f, 0.000609f, 0.356201f, 0.000569f, + 0.998535f, 0.001139f, 0.998535f, 0.001139f, 0.998535f, 0.001140f, 0.998535f, 0.001142f, + 0.998535f, 0.001147f, 0.998535f, 0.001159f, 0.998535f, 0.001168f, 0.998047f, 0.001190f, + 0.998047f, 0.001217f, 0.997559f, 0.001254f, 0.997559f, 0.001301f, 0.997070f, 0.001356f, + 0.996094f, 0.001416f, 0.995605f, 0.001493f, 0.994141f, 0.001574f, 0.992676f, 0.001663f, + 0.990723f, 0.001759f, 0.988770f, 0.001867f, 0.986328f, 0.001980f, 0.982910f, 0.002087f, + 0.979492f, 0.002199f, 0.975586f, 0.002319f, 0.970703f, 0.002422f, 0.965332f, 0.002531f, + 0.958496f, 0.002628f, 0.952148f, 0.002714f, 0.944336f, 0.002792f, 0.935547f, 0.002851f, + 0.926270f, 0.002903f, 0.916016f, 0.002935f, 0.904785f, 0.002954f, 0.893066f, 0.002956f, + 0.880859f, 0.002947f, 0.867676f, 0.002920f, 0.853516f, 0.002882f, 0.839355f, 0.002831f, + 0.824219f, 0.002769f, 0.809082f, 0.002699f, 0.792969f, 0.002619f, 0.776367f, 0.002533f, + 0.759766f, 0.002443f, 0.742676f, 0.002350f, 0.725586f, 0.002251f, 0.708008f, 0.002151f, + 0.689941f, 0.002052f, 0.671875f, 0.001953f, 0.653809f, 0.001854f, 0.635742f, 0.001758f, + 0.617676f, 0.001663f, 0.599121f, 0.001572f, 0.581055f, 0.001482f, 0.562988f, 0.001395f, + 0.544922f, 0.001313f, 0.526855f, 0.001234f, 0.508789f, 0.001158f, 0.491455f, 0.001086f, + 0.473877f, 0.001018f, 0.456787f, 0.000954f, 0.439697f, 0.000892f, 0.422852f, 0.000834f, + 0.406494f, 0.000780f, 0.390381f, 0.000729f, 0.374512f, 0.000680f, 0.359131f, 0.000635f, + 0.998047f, 0.001528f, 0.998047f, 0.001528f, 0.998047f, 0.001529f, 0.998047f, 0.001532f, + 0.998047f, 0.001539f, 0.998047f, 0.001546f, 0.998047f, 0.001562f, 0.998047f, 0.001589f, + 0.997559f, 0.001621f, 0.997559f, 0.001668f, 0.996582f, 0.001715f, 0.996582f, 0.001777f, + 0.995605f, 0.001859f, 0.994629f, 0.001939f, 0.993652f, 0.002035f, 0.992188f, 0.002140f, + 0.990234f, 0.002243f, 0.987793f, 0.002369f, 0.985352f, 0.002489f, 0.981934f, 0.002621f, + 0.978516f, 0.002750f, 0.974121f, 0.002876f, 0.969238f, 0.002991f, 0.963867f, 0.003105f, + 0.957031f, 0.003206f, 0.950195f, 0.003300f, 0.942383f, 0.003374f, 0.933594f, 0.003431f, + 0.923828f, 0.003473f, 0.913574f, 0.003498f, 0.902344f, 0.003506f, 0.890625f, 0.003494f, + 0.878418f, 0.003468f, 0.865234f, 0.003426f, 0.851074f, 0.003366f, 0.836914f, 0.003296f, + 0.822266f, 0.003216f, 0.806641f, 0.003122f, 0.791016f, 0.003023f, 0.774902f, 0.002916f, + 0.758301f, 0.002804f, 0.741211f, 0.002689f, 0.724121f, 0.002573f, 0.707031f, 0.002453f, + 0.689453f, 0.002335f, 0.671875f, 0.002216f, 0.653809f, 0.002102f, 0.636230f, 0.001987f, + 0.618164f, 0.001878f, 0.600098f, 0.001771f, 0.582031f, 0.001668f, 0.564453f, 0.001569f, + 0.546387f, 0.001475f, 0.528809f, 0.001384f, 0.511230f, 0.001297f, 0.493652f, 0.001217f, + 0.476318f, 0.001139f, 0.459229f, 0.001065f, 0.442383f, 0.000996f, 0.425781f, 0.000930f, + 0.409424f, 0.000869f, 0.393311f, 0.000811f, 0.377686f, 0.000757f, 0.362305f, 0.000707f, + 0.997559f, 0.002018f, 0.997559f, 0.002018f, 0.997559f, 0.002018f, 0.997559f, 0.002022f, + 0.997559f, 0.002028f, 0.997559f, 0.002045f, 0.997559f, 0.002066f, 0.997559f, 0.002092f, + 0.997559f, 0.002129f, 0.996582f, 0.002176f, 0.996094f, 0.002235f, 0.995605f, 0.002312f, + 0.995605f, 0.002407f, 0.993652f, 0.002491f, 0.992676f, 0.002605f, 0.991211f, 0.002729f, + 0.989258f, 0.002846f, 0.987305f, 0.002987f, 0.984375f, 0.003120f, 0.980957f, 0.003263f, + 0.977051f, 0.003403f, 0.972656f, 0.003542f, 0.967285f, 0.003666f, 0.961914f, 0.003782f, + 0.955566f, 0.003889f, 0.947754f, 0.003967f, 0.939941f, 0.004044f, 0.931152f, 0.004097f, + 0.921387f, 0.004131f, 0.911133f, 0.004139f, 0.899902f, 0.004131f, 0.888184f, 0.004108f, + 0.875488f, 0.004055f, 0.862305f, 0.003990f, 0.848633f, 0.003914f, 0.834473f, 0.003819f, + 0.819824f, 0.003712f, 0.804199f, 0.003593f, 0.788574f, 0.003469f, 0.772949f, 0.003338f, + 0.756348f, 0.003201f, 0.739746f, 0.003063f, 0.723145f, 0.002924f, 0.706055f, 0.002781f, + 0.688965f, 0.002644f, 0.671387f, 0.002506f, 0.653809f, 0.002371f, 0.636230f, 0.002239f, + 0.618652f, 0.002111f, 0.601074f, 0.001989f, 0.583496f, 0.001871f, 0.565430f, 0.001759f, + 0.547852f, 0.001650f, 0.530273f, 0.001547f, 0.513184f, 0.001449f, 0.495850f, 0.001356f, + 0.478760f, 0.001269f, 0.461670f, 0.001185f, 0.445068f, 0.001107f, 0.428467f, 0.001035f, + 0.412354f, 0.000965f, 0.396240f, 0.000901f, 0.380615f, 0.000840f, 0.365479f, 0.000783f, + 0.997070f, 0.002625f, 0.997070f, 0.002625f, 0.997070f, 0.002626f, 0.997070f, 0.002630f, + 0.997070f, 0.002640f, 0.997070f, 0.002659f, 0.997070f, 0.002676f, 0.996582f, 0.002708f, + 0.996582f, 0.002752f, 0.996094f, 0.002813f, 0.995605f, 0.002886f, 0.995117f, 0.002956f, + 0.994141f, 0.003071f, 0.992676f, 0.003172f, 0.991699f, 0.003292f, 0.990234f, 0.003433f, + 0.988281f, 0.003580f, 0.985840f, 0.003727f, 0.982910f, 0.003870f, 0.979492f, 0.004028f, + 0.975586f, 0.004177f, 0.971191f, 0.004322f, 0.966309f, 0.004456f, 0.959961f, 0.004570f, + 0.953125f, 0.004669f, 0.945801f, 0.004757f, 0.937500f, 0.004826f, 0.928711f, 0.004864f, + 0.918945f, 0.004883f, 0.908691f, 0.004875f, 0.897461f, 0.004845f, 0.885254f, 0.004795f, + 0.872559f, 0.004723f, 0.859863f, 0.004631f, 0.846191f, 0.004520f, 0.832031f, 0.004398f, + 0.817383f, 0.004261f, 0.802246f, 0.004116f, 0.786621f, 0.003963f, 0.770996f, 0.003805f, + 0.754883f, 0.003639f, 0.738770f, 0.003475f, 0.722168f, 0.003307f, 0.705078f, 0.003143f, + 0.688477f, 0.002981f, 0.671387f, 0.002821f, 0.653809f, 0.002665f, 0.636719f, 0.002512f, + 0.619141f, 0.002367f, 0.602051f, 0.002226f, 0.584473f, 0.002090f, 0.566895f, 0.001963f, + 0.549805f, 0.001840f, 0.532227f, 0.001722f, 0.515137f, 0.001613f, 0.498047f, 0.001508f, + 0.481201f, 0.001409f, 0.464355f, 0.001316f, 0.447754f, 0.001228f, 0.431396f, 0.001145f, + 0.415283f, 0.001069f, 0.399414f, 0.000997f, 0.383789f, 0.000929f, 0.368652f, 0.000865f, + 0.996582f, 0.003370f, 0.996582f, 0.003370f, 0.996582f, 0.003372f, 0.996582f, 0.003378f, + 0.996582f, 0.003389f, 0.996094f, 0.003410f, 0.996094f, 0.003435f, 0.996094f, 0.003471f, + 0.996094f, 0.003523f, 0.995117f, 0.003588f, 0.995117f, 0.003664f, 0.994141f, 0.003754f, + 0.993164f, 0.003864f, 0.992676f, 0.003990f, 0.990723f, 0.004128f, 0.989746f, 0.004288f, + 0.987793f, 0.004429f, 0.984375f, 0.004601f, 0.981445f, 0.004757f, 0.978027f, 0.004925f, + 0.974121f, 0.005089f, 0.969727f, 0.005241f, 0.964355f, 0.005375f, 0.958008f, 0.005486f, + 0.951172f, 0.005596f, 0.943848f, 0.005665f, 0.935547f, 0.005718f, 0.925781f, 0.005737f, + 0.916016f, 0.005733f, 0.905762f, 0.005707f, 0.894531f, 0.005650f, 0.882324f, 0.005569f, + 0.870117f, 0.005466f, 0.856934f, 0.005341f, 0.843262f, 0.005199f, 0.829102f, 0.005043f, + 0.814941f, 0.004871f, 0.799805f, 0.004692f, 0.784668f, 0.004505f, 0.769043f, 0.004314f, + 0.753418f, 0.004116f, 0.737305f, 0.003922f, 0.721191f, 0.003729f, 0.704590f, 0.003536f, + 0.687988f, 0.003347f, 0.670898f, 0.003162f, 0.654297f, 0.002983f, 0.637207f, 0.002810f, + 0.620117f, 0.002642f, 0.603027f, 0.002481f, 0.585938f, 0.002329f, 0.568359f, 0.002182f, + 0.551270f, 0.002045f, 0.534180f, 0.001913f, 0.517090f, 0.001788f, 0.500488f, 0.001671f, + 0.483643f, 0.001560f, 0.467041f, 0.001456f, 0.450684f, 0.001358f, 0.434326f, 0.001266f, + 0.418213f, 0.001181f, 0.402588f, 0.001101f, 0.386963f, 0.001025f, 0.371826f, 0.000954f, + 0.995605f, 0.004276f, 0.995605f, 0.004276f, 0.995605f, 0.004280f, 0.995605f, 0.004284f, + 0.995605f, 0.004299f, 0.995117f, 0.004318f, 0.995117f, 0.004349f, 0.995117f, 0.004383f, + 0.994629f, 0.004456f, 0.994629f, 0.004524f, 0.994141f, 0.004612f, 0.993164f, 0.004704f, + 0.992676f, 0.004848f, 0.991699f, 0.004974f, 0.990234f, 0.005142f, 0.987793f, 0.005291f, + 0.986328f, 0.005474f, 0.982910f, 0.005638f, 0.980469f, 0.005825f, 0.976562f, 0.005989f, + 0.972656f, 0.006157f, 0.967773f, 0.006313f, 0.961914f, 0.006443f, 0.955566f, 0.006554f, + 0.948730f, 0.006645f, 0.940918f, 0.006702f, 0.932617f, 0.006733f, 0.923340f, 0.006733f, + 0.913574f, 0.006699f, 0.902832f, 0.006645f, 0.891602f, 0.006550f, 0.879395f, 0.006435f, + 0.867188f, 0.006294f, 0.854004f, 0.006130f, 0.840332f, 0.005951f, 0.826660f, 0.005756f, + 0.812500f, 0.005543f, 0.797363f, 0.005325f, 0.782715f, 0.005100f, 0.767090f, 0.004871f, + 0.751465f, 0.004642f, 0.735840f, 0.004414f, 0.719727f, 0.004185f, 0.703613f, 0.003960f, + 0.687500f, 0.003744f, 0.670898f, 0.003531f, 0.654297f, 0.003326f, 0.637695f, 0.003128f, + 0.620605f, 0.002939f, 0.604004f, 0.002756f, 0.586914f, 0.002584f, 0.569824f, 0.002420f, + 0.553223f, 0.002264f, 0.536133f, 0.002117f, 0.519531f, 0.001978f, 0.502930f, 0.001847f, + 0.486328f, 0.001723f, 0.469727f, 0.001607f, 0.453369f, 0.001498f, 0.437256f, 0.001395f, + 0.421387f, 0.001300f, 0.405762f, 0.001211f, 0.390381f, 0.001127f, 0.375244f, 0.001050f, + 0.994141f, 0.005367f, 0.994141f, 0.005367f, 0.994141f, 0.005371f, 0.994141f, 0.005375f, + 0.994141f, 0.005394f, 0.994141f, 0.005413f, 0.994141f, 0.005447f, 0.994141f, 0.005508f, + 0.993652f, 0.005558f, 0.993652f, 0.005650f, 0.992676f, 0.005741f, 0.991699f, 0.005848f, + 0.991211f, 0.006004f, 0.990234f, 0.006149f, 0.988281f, 0.006317f, 0.986328f, 0.006504f, + 0.984863f, 0.006687f, 0.981934f, 0.006866f, 0.978516f, 0.007050f, 0.974609f, 0.007233f, + 0.970215f, 0.007393f, 0.965820f, 0.007553f, 0.959961f, 0.007675f, 0.953125f, 0.007774f, + 0.946289f, 0.007843f, 0.938477f, 0.007889f, 0.929688f, 0.007889f, 0.920410f, 0.007858f, + 0.910156f, 0.007793f, 0.899414f, 0.007694f, 0.888672f, 0.007565f, 0.876465f, 0.007401f, + 0.864258f, 0.007214f, 0.851074f, 0.007008f, 0.837402f, 0.006779f, 0.823730f, 0.006535f, + 0.809570f, 0.006279f, 0.794922f, 0.006023f, 0.780273f, 0.005753f, 0.765137f, 0.005482f, + 0.750000f, 0.005215f, 0.734375f, 0.004944f, 0.718750f, 0.004681f, 0.703125f, 0.004425f, + 0.687012f, 0.004173f, 0.670898f, 0.003929f, 0.654297f, 0.003700f, 0.638184f, 0.003473f, + 0.621582f, 0.003260f, 0.604980f, 0.003056f, 0.588379f, 0.002861f, 0.571777f, 0.002676f, + 0.555176f, 0.002502f, 0.538574f, 0.002337f, 0.521973f, 0.002180f, 0.505371f, 0.002035f, + 0.488770f, 0.001898f, 0.472656f, 0.001769f, 0.456299f, 0.001649f, 0.440430f, 0.001534f, + 0.424561f, 0.001430f, 0.408936f, 0.001329f, 0.393555f, 0.001238f, 0.378418f, 0.001151f, + 0.993164f, 0.006672f, 0.993164f, 0.006672f, 0.993164f, 0.006676f, 0.993164f, 0.006687f, + 0.993164f, 0.006699f, 0.993164f, 0.006721f, 0.992676f, 0.006760f, 0.992676f, 0.006821f, + 0.992188f, 0.006897f, 0.991699f, 0.006973f, 0.991211f, 0.007099f, 0.990234f, 0.007206f, + 0.990234f, 0.007366f, 0.988281f, 0.007519f, 0.986328f, 0.007706f, 0.984863f, 0.007912f, + 0.982422f, 0.008087f, 0.979980f, 0.008286f, 0.977051f, 0.008476f, 0.972656f, 0.008667f, + 0.968262f, 0.008827f, 0.962891f, 0.008980f, 0.957520f, 0.009079f, 0.951172f, 0.009171f, + 0.943848f, 0.009216f, 0.935547f, 0.009224f, 0.926758f, 0.009193f, 0.917480f, 0.009125f, + 0.906738f, 0.009010f, 0.895996f, 0.008865f, 0.885254f, 0.008682f, 0.873047f, 0.008469f, + 0.860840f, 0.008232f, 0.847656f, 0.007973f, 0.834473f, 0.007690f, 0.820801f, 0.007397f, + 0.807129f, 0.007092f, 0.792969f, 0.006783f, 0.778320f, 0.006462f, 0.763184f, 0.006145f, + 0.748535f, 0.005833f, 0.733398f, 0.005524f, 0.717773f, 0.005219f, 0.702148f, 0.004925f, + 0.686523f, 0.004639f, 0.670898f, 0.004364f, 0.654785f, 0.004097f, 0.638672f, 0.003847f, + 0.622559f, 0.003605f, 0.605957f, 0.003376f, 0.589844f, 0.003157f, 0.573242f, 0.002951f, + 0.556641f, 0.002756f, 0.540527f, 0.002573f, 0.523926f, 0.002399f, 0.507812f, 0.002237f, + 0.491455f, 0.002085f, 0.475342f, 0.001943f, 0.459229f, 0.001809f, 0.443359f, 0.001684f, + 0.427734f, 0.001567f, 0.412109f, 0.001457f, 0.396973f, 0.001356f, 0.382080f, 0.001261f, + 0.991699f, 0.008217f, 0.991699f, 0.008217f, 0.991699f, 0.008217f, 0.991699f, 0.008232f, + 0.991211f, 0.008240f, 0.991211f, 0.008270f, 0.991211f, 0.008324f, 0.991211f, 0.008377f, + 0.990723f, 0.008461f, 0.990234f, 0.008553f, 0.989746f, 0.008682f, 0.988770f, 0.008820f, + 0.987793f, 0.008972f, 0.986816f, 0.009163f, 0.985352f, 0.009338f, 0.982910f, 0.009567f, + 0.980957f, 0.009758f, 0.977539f, 0.009956f, 0.974609f, 0.010155f, 0.970215f, 0.010330f, + 0.965820f, 0.010483f, 0.960449f, 0.010597f, 0.954590f, 0.010696f, 0.947754f, 0.010750f, + 0.940430f, 0.010757f, 0.932129f, 0.010735f, 0.923340f, 0.010651f, 0.913574f, 0.010536f, + 0.903809f, 0.010376f, 0.892578f, 0.010162f, 0.881348f, 0.009926f, 0.869629f, 0.009651f, + 0.857422f, 0.009354f, 0.844727f, 0.009026f, 0.831543f, 0.008690f, 0.817871f, 0.008331f, + 0.804199f, 0.007973f, 0.790527f, 0.007603f, 0.775879f, 0.007233f, 0.761719f, 0.006866f, + 0.747070f, 0.006500f, 0.731934f, 0.006145f, 0.716797f, 0.005798f, 0.701660f, 0.005466f, + 0.686523f, 0.005138f, 0.670898f, 0.004829f, 0.655273f, 0.004532f, 0.639160f, 0.004246f, + 0.623535f, 0.003975f, 0.607422f, 0.003719f, 0.591309f, 0.003477f, 0.575195f, 0.003246f, + 0.558594f, 0.003029f, 0.542480f, 0.002827f, 0.526367f, 0.002634f, 0.510254f, 0.002455f, + 0.494141f, 0.002285f, 0.478271f, 0.002129f, 0.462402f, 0.001980f, 0.446533f, 0.001843f, + 0.430908f, 0.001715f, 0.415527f, 0.001594f, 0.400391f, 0.001483f, 0.385498f, 0.001378f, + 0.989746f, 0.010040f, 0.989746f, 0.010040f, 0.989746f, 0.010040f, 0.989746f, 0.010048f, + 0.989746f, 0.010071f, 0.989746f, 0.010094f, 0.989258f, 0.010147f, 0.989258f, 0.010223f, + 0.988770f, 0.010300f, 0.988770f, 0.010406f, 0.987793f, 0.010529f, 0.986816f, 0.010696f, + 0.986328f, 0.010857f, 0.984863f, 0.011055f, 0.982422f, 0.011238f, 0.981445f, 0.011467f, + 0.978516f, 0.011673f, 0.975098f, 0.011871f, 0.972168f, 0.012062f, 0.967285f, 0.012215f, + 0.962402f, 0.012352f, 0.957031f, 0.012459f, 0.951172f, 0.012535f, 0.944336f, 0.012535f, + 0.937012f, 0.012520f, 0.928711f, 0.012428f, 0.919922f, 0.012299f, 0.910156f, 0.012115f, + 0.899414f, 0.011879f, 0.889160f, 0.011612f, 0.877441f, 0.011299f, 0.865723f, 0.010956f, + 0.853516f, 0.010582f, 0.841309f, 0.010193f, 0.828125f, 0.009773f, 0.814941f, 0.009361f, + 0.801270f, 0.008926f, 0.787598f, 0.008499f, 0.773926f, 0.008064f, 0.759766f, 0.007641f, + 0.745117f, 0.007225f, 0.730469f, 0.006817f, 0.716309f, 0.006424f, 0.701172f, 0.006042f, + 0.686035f, 0.005676f, 0.670898f, 0.005329f, 0.655273f, 0.004993f, 0.640137f, 0.004673f, + 0.624512f, 0.004372f, 0.608398f, 0.004086f, 0.592773f, 0.003817f, 0.576660f, 0.003561f, + 0.561035f, 0.003323f, 0.544922f, 0.003098f, 0.528809f, 0.002884f, 0.512695f, 0.002686f, + 0.497070f, 0.002501f, 0.481201f, 0.002327f, 0.465332f, 0.002165f, 0.449707f, 0.002014f, + 0.434326f, 0.001873f, 0.418945f, 0.001740f, 0.403809f, 0.001617f, 0.388916f, 0.001504f, + 0.987793f, 0.012169f, 0.987793f, 0.012169f, 0.987793f, 0.012169f, 0.987793f, 0.012184f, + 0.987305f, 0.012207f, 0.987305f, 0.012245f, 0.987305f, 0.012291f, 0.986816f, 0.012360f, + 0.986816f, 0.012459f, 0.986328f, 0.012573f, 0.985840f, 0.012695f, 0.984863f, 0.012878f, + 0.983887f, 0.013046f, 0.982422f, 0.013237f, 0.980469f, 0.013466f, 0.979004f, 0.013680f, + 0.976074f, 0.013878f, 0.972656f, 0.014069f, 0.969238f, 0.014259f, 0.964355f, 0.014397f, + 0.959961f, 0.014488f, 0.954102f, 0.014580f, 0.947754f, 0.014595f, 0.940430f, 0.014557f, + 0.933105f, 0.014481f, 0.925293f, 0.014328f, 0.915527f, 0.014122f, 0.906250f, 0.013870f, + 0.895996f, 0.013565f, 0.885254f, 0.013206f, 0.873535f, 0.012817f, 0.862305f, 0.012383f, + 0.850098f, 0.011932f, 0.837891f, 0.011452f, 0.824707f, 0.010963f, 0.812012f, 0.010460f, + 0.798828f, 0.009964f, 0.785156f, 0.009460f, 0.771484f, 0.008965f, 0.757812f, 0.008484f, + 0.743652f, 0.008003f, 0.729492f, 0.007542f, 0.715332f, 0.007095f, 0.700684f, 0.006668f, + 0.686035f, 0.006256f, 0.670898f, 0.005863f, 0.655762f, 0.005489f, 0.640625f, 0.005135f, + 0.625488f, 0.004799f, 0.609863f, 0.004478f, 0.594238f, 0.004181f, 0.578613f, 0.003901f, + 0.562988f, 0.003635f, 0.547363f, 0.003386f, 0.531250f, 0.003153f, 0.515625f, 0.002935f, + 0.500000f, 0.002729f, 0.484131f, 0.002539f, 0.468506f, 0.002361f, 0.453125f, 0.002195f, + 0.437744f, 0.002041f, 0.422363f, 0.001897f, 0.407471f, 0.001763f, 0.392578f, 0.001637f, + 0.985352f, 0.014641f, 0.985352f, 0.014641f, 0.984863f, 0.014648f, 0.984863f, 0.014656f, + 0.984863f, 0.014679f, 0.984863f, 0.014717f, 0.984863f, 0.014771f, 0.984375f, 0.014839f, + 0.984375f, 0.014938f, 0.983398f, 0.015060f, 0.983398f, 0.015244f, 0.981934f, 0.015388f, + 0.980957f, 0.015587f, 0.979492f, 0.015778f, 0.977539f, 0.015976f, 0.975586f, 0.016190f, + 0.972656f, 0.016388f, 0.969727f, 0.016571f, 0.965820f, 0.016739f, 0.961426f, 0.016861f, + 0.956055f, 0.016922f, 0.950684f, 0.016953f, 0.943848f, 0.016922f, 0.937012f, 0.016815f, + 0.929199f, 0.016663f, 0.920410f, 0.016434f, 0.911621f, 0.016144f, 0.901855f, 0.015793f, + 0.891602f, 0.015411f, 0.880859f, 0.014954f, 0.869629f, 0.014473f, 0.857910f, 0.013947f, + 0.846191f, 0.013390f, 0.833984f, 0.012825f, 0.821289f, 0.012253f, 0.809082f, 0.011665f, + 0.795898f, 0.011086f, 0.782715f, 0.010506f, 0.769531f, 0.009933f, 0.755859f, 0.009377f, + 0.742188f, 0.008842f, 0.728516f, 0.008316f, 0.714355f, 0.007812f, 0.700195f, 0.007336f, + 0.685547f, 0.006874f, 0.670898f, 0.006435f, 0.656250f, 0.006020f, 0.641602f, 0.005623f, + 0.626465f, 0.005253f, 0.611328f, 0.004902f, 0.596191f, 0.004570f, 0.580566f, 0.004261f, + 0.564941f, 0.003967f, 0.549316f, 0.003695f, 0.533691f, 0.003437f, 0.518066f, 0.003199f, + 0.502930f, 0.002975f, 0.487305f, 0.002766f, 0.471680f, 0.002571f, 0.456299f, 0.002388f, + 0.441162f, 0.002220f, 0.426025f, 0.002062f, 0.411133f, 0.001916f, 0.396240f, 0.001781f, + 0.982422f, 0.017502f, 0.982422f, 0.017502f, 0.982422f, 0.017502f, 0.982422f, 0.017517f, + 0.981934f, 0.017532f, 0.981934f, 0.017593f, 0.981934f, 0.017639f, 0.981934f, 0.017731f, + 0.981445f, 0.017838f, 0.980957f, 0.017960f, 0.979980f, 0.018112f, 0.979004f, 0.018295f, + 0.978027f, 0.018478f, 0.975586f, 0.018677f, 0.974609f, 0.018860f, 0.972168f, 0.019073f, + 0.969238f, 0.019287f, 0.965820f, 0.019455f, 0.962402f, 0.019562f, 0.958008f, 0.019653f, + 0.952637f, 0.019653f, 0.946289f, 0.019623f, 0.939453f, 0.019516f, 0.932617f, 0.019348f, + 0.924316f, 0.019089f, 0.916016f, 0.018784f, 0.907227f, 0.018387f, 0.897461f, 0.017944f, + 0.887207f, 0.017426f, 0.876465f, 0.016861f, 0.865234f, 0.016266f, 0.854004f, 0.015640f, + 0.842285f, 0.014999f, 0.830078f, 0.014320f, 0.818359f, 0.013641f, 0.805664f, 0.012962f, + 0.792969f, 0.012291f, 0.780273f, 0.011627f, 0.767090f, 0.010979f, 0.753906f, 0.010345f, + 0.740723f, 0.009735f, 0.727539f, 0.009155f, 0.713867f, 0.008591f, 0.699707f, 0.008049f, + 0.685547f, 0.007534f, 0.671387f, 0.007050f, 0.656738f, 0.006588f, 0.642578f, 0.006149f, + 0.627441f, 0.005737f, 0.612793f, 0.005352f, 0.597656f, 0.004986f, 0.582520f, 0.004642f, + 0.567383f, 0.004322f, 0.551758f, 0.004021f, 0.536621f, 0.003744f, 0.520996f, 0.003481f, + 0.505859f, 0.003235f, 0.490479f, 0.003006f, 0.475098f, 0.002794f, 0.459717f, 0.002596f, + 0.444580f, 0.002411f, 0.429688f, 0.002241f, 0.414795f, 0.002081f, 0.400146f, 0.001933f, + 0.979004f, 0.020798f, 0.979004f, 0.020798f, 0.979004f, 0.020798f, 0.979004f, 0.020813f, + 0.979004f, 0.020844f, 0.978516f, 0.020874f, 0.978516f, 0.020935f, 0.978027f, 0.021027f, + 0.978027f, 0.021149f, 0.977539f, 0.021286f, 0.977051f, 0.021454f, 0.975586f, 0.021622f, + 0.974121f, 0.021820f, 0.972656f, 0.021988f, 0.970215f, 0.022186f, 0.968750f, 0.022385f, + 0.965820f, 0.022552f, 0.961914f, 0.022675f, 0.958008f, 0.022736f, 0.953613f, 0.022751f, + 0.948242f, 0.022736f, 0.942383f, 0.022614f, 0.935547f, 0.022415f, 0.927734f, 0.022156f, + 0.919922f, 0.021790f, 0.911621f, 0.021362f, 0.901855f, 0.020859f, 0.892090f, 0.020279f, + 0.882324f, 0.019638f, 0.872070f, 0.018951f, 0.860840f, 0.018234f, 0.849609f, 0.017487f, + 0.838379f, 0.016708f, 0.826172f, 0.015930f, 0.814453f, 0.015144f, 0.802246f, 0.014359f, + 0.790527f, 0.013588f, 0.777832f, 0.012833f, 0.765137f, 0.012100f, 0.752441f, 0.011383f, + 0.739258f, 0.010696f, 0.726074f, 0.010040f, 0.712891f, 0.009415f, 0.699219f, 0.008812f, + 0.685547f, 0.008240f, 0.671875f, 0.007698f, 0.657715f, 0.007191f, 0.643555f, 0.006710f, + 0.628906f, 0.006252f, 0.614258f, 0.005829f, 0.599609f, 0.005428f, 0.584473f, 0.005051f, + 0.569336f, 0.004704f, 0.554199f, 0.004372f, 0.539062f, 0.004063f, 0.523926f, 0.003780f, + 0.508789f, 0.003513f, 0.493652f, 0.003263f, 0.478271f, 0.003033f, 0.463135f, 0.002817f, + 0.448242f, 0.002615f, 0.433350f, 0.002430f, 0.418457f, 0.002256f, 0.403809f, 0.002094f, + 0.975098f, 0.024582f, 0.975098f, 0.024567f, 0.975098f, 0.024582f, 0.975098f, 0.024597f, + 0.975098f, 0.024628f, 0.975098f, 0.024658f, 0.975098f, 0.024734f, 0.974609f, 0.024826f, + 0.973633f, 0.024933f, 0.973633f, 0.025055f, 0.972656f, 0.025223f, 0.972168f, 0.025421f, + 0.970215f, 0.025589f, 0.968262f, 0.025742f, 0.966309f, 0.025925f, 0.964355f, 0.026108f, + 0.960938f, 0.026230f, 0.957520f, 0.026321f, 0.953613f, 0.026352f, 0.948242f, 0.026260f, + 0.943848f, 0.026154f, 0.937500f, 0.025970f, 0.930664f, 0.025650f, 0.922852f, 0.025253f, + 0.915039f, 0.024765f, 0.906738f, 0.024200f, 0.897461f, 0.023560f, 0.887207f, 0.022827f, + 0.877441f, 0.022064f, 0.866699f, 0.021225f, 0.855957f, 0.020370f, 0.845215f, 0.019470f, + 0.833984f, 0.018570f, 0.822266f, 0.017654f, 0.811035f, 0.016754f, 0.799316f, 0.015854f, + 0.787109f, 0.014984f, 0.775391f, 0.014122f, 0.763184f, 0.013298f, 0.750488f, 0.012489f, + 0.737793f, 0.011726f, 0.725098f, 0.010986f, 0.712402f, 0.010284f, 0.699219f, 0.009621f, + 0.685547f, 0.008987f, 0.671875f, 0.008392f, 0.658203f, 0.007828f, 0.644531f, 0.007305f, + 0.630371f, 0.006802f, 0.615723f, 0.006336f, 0.601562f, 0.005898f, 0.586914f, 0.005489f, + 0.571777f, 0.005104f, 0.557129f, 0.004745f, 0.541992f, 0.004414f, 0.526855f, 0.004101f, + 0.511719f, 0.003809f, 0.496826f, 0.003538f, 0.481689f, 0.003286f, 0.466797f, 0.003052f, + 0.451904f, 0.002832f, 0.437012f, 0.002630f, 0.422363f, 0.002441f, 0.407715f, 0.002268f, + 0.970703f, 0.028870f, 0.970703f, 0.028870f, 0.970703f, 0.028885f, 0.970703f, 0.028900f, + 0.970703f, 0.028915f, 0.970703f, 0.028961f, 0.970215f, 0.029022f, 0.970215f, 0.029114f, + 0.969727f, 0.029251f, 0.968750f, 0.029373f, 0.968262f, 0.029526f, 0.966797f, 0.029678f, + 0.966309f, 0.029877f, 0.964844f, 0.030045f, 0.962402f, 0.030167f, 0.959473f, 0.030304f, + 0.956543f, 0.030411f, 0.953125f, 0.030411f, 0.948242f, 0.030319f, 0.943359f, 0.030197f, + 0.938477f, 0.029968f, 0.931641f, 0.029648f, 0.924805f, 0.029221f, 0.917969f, 0.028687f, + 0.909180f, 0.028030f, 0.900879f, 0.027313f, 0.891602f, 0.026505f, 0.881836f, 0.025620f, + 0.871582f, 0.024673f, 0.861816f, 0.023697f, 0.851074f, 0.022659f, 0.840820f, 0.021622f, + 0.829590f, 0.020569f, 0.818359f, 0.019516f, 0.807129f, 0.018478f, 0.795898f, 0.017456f, + 0.784180f, 0.016464f, 0.772461f, 0.015503f, 0.760742f, 0.014572f, 0.748535f, 0.013672f, + 0.736816f, 0.012817f, 0.724121f, 0.012001f, 0.711914f, 0.011215f, 0.698730f, 0.010483f, + 0.686035f, 0.009789f, 0.672852f, 0.009132f, 0.659180f, 0.008514f, 0.645508f, 0.007935f, + 0.631836f, 0.007389f, 0.617676f, 0.006878f, 0.603516f, 0.006397f, 0.588867f, 0.005951f, + 0.574219f, 0.005531f, 0.559570f, 0.005142f, 0.544922f, 0.004776f, 0.529785f, 0.004436f, + 0.515137f, 0.004120f, 0.500000f, 0.003828f, 0.485352f, 0.003555f, 0.470215f, 0.003302f, + 0.455566f, 0.003065f, 0.440918f, 0.002844f, 0.426270f, 0.002642f, 0.411621f, 0.002451f, + 0.965820f, 0.033752f, 0.965820f, 0.033752f, 0.965820f, 0.033752f, 0.965820f, 0.033783f, + 0.965820f, 0.033783f, 0.965820f, 0.033875f, 0.965332f, 0.033905f, 0.965332f, 0.033997f, + 0.964844f, 0.034088f, 0.963867f, 0.034241f, 0.963379f, 0.034393f, 0.962402f, 0.034546f, + 0.960938f, 0.034698f, 0.958496f, 0.034851f, 0.957520f, 0.034973f, 0.954102f, 0.035034f, + 0.951172f, 0.035034f, 0.947754f, 0.034943f, 0.942871f, 0.034821f, 0.937988f, 0.034576f, + 0.932129f, 0.034180f, 0.926270f, 0.033722f, 0.918945f, 0.033142f, 0.911133f, 0.032410f, + 0.902832f, 0.031616f, 0.894531f, 0.030685f, 0.885254f, 0.029694f, 0.876465f, 0.028641f, + 0.866699f, 0.027512f, 0.856445f, 0.026337f, 0.846191f, 0.025146f, 0.835449f, 0.023926f, + 0.825195f, 0.022720f, 0.814453f, 0.021515f, 0.803711f, 0.020340f, 0.792480f, 0.019165f, + 0.781250f, 0.018051f, 0.770020f, 0.016968f, 0.758789f, 0.015915f, 0.747070f, 0.014931f, + 0.735352f, 0.013977f, 0.723145f, 0.013069f, 0.710938f, 0.012215f, 0.698730f, 0.011398f, + 0.686035f, 0.010635f, 0.673340f, 0.009918f, 0.660156f, 0.009239f, 0.646484f, 0.008598f, + 0.633301f, 0.008003f, 0.619141f, 0.007446f, 0.605469f, 0.006927f, 0.591309f, 0.006439f, + 0.576660f, 0.005985f, 0.562500f, 0.005562f, 0.547852f, 0.005165f, 0.533203f, 0.004795f, + 0.518066f, 0.004456f, 0.503418f, 0.004135f, 0.488770f, 0.003841f, 0.474121f, 0.003565f, + 0.459229f, 0.003311f, 0.444580f, 0.003073f, 0.430176f, 0.002853f, 0.415771f, 0.002647f, + 0.960449f, 0.039276f, 0.960449f, 0.039276f, 0.960449f, 0.039276f, 0.960449f, 0.039307f, + 0.960449f, 0.039337f, 0.959961f, 0.039368f, 0.959961f, 0.039429f, 0.959961f, 0.039520f, + 0.959473f, 0.039612f, 0.958984f, 0.039764f, 0.958008f, 0.039886f, 0.956543f, 0.040009f, + 0.955566f, 0.040131f, 0.953125f, 0.040253f, 0.951172f, 0.040314f, 0.948242f, 0.040283f, + 0.945801f, 0.040222f, 0.940918f, 0.040039f, 0.936523f, 0.039764f, 0.931152f, 0.039368f, + 0.926270f, 0.038879f, 0.919434f, 0.038208f, 0.913086f, 0.037445f, 0.905273f, 0.036530f, + 0.897461f, 0.035522f, 0.888184f, 0.034393f, 0.879395f, 0.033173f, 0.870117f, 0.031891f, + 0.860352f, 0.030563f, 0.850586f, 0.029190f, 0.840820f, 0.027802f, 0.830566f, 0.026398f, + 0.820312f, 0.025009f, 0.810059f, 0.023636f, 0.799805f, 0.022308f, 0.789062f, 0.020996f, + 0.778809f, 0.019730f, 0.767578f, 0.018524f, 0.756348f, 0.017365f, 0.745605f, 0.016251f, + 0.733887f, 0.015213f, 0.722656f, 0.014206f, 0.710938f, 0.013260f, 0.698730f, 0.012367f, + 0.686523f, 0.011536f, 0.673828f, 0.010742f, 0.661133f, 0.010002f, 0.647949f, 0.009308f, + 0.634766f, 0.008659f, 0.621094f, 0.008057f, 0.607422f, 0.007488f, 0.593262f, 0.006958f, + 0.579102f, 0.006466f, 0.564941f, 0.006004f, 0.550781f, 0.005577f, 0.536133f, 0.005177f, + 0.521484f, 0.004807f, 0.506836f, 0.004463f, 0.492432f, 0.004143f, 0.477783f, 0.003847f, + 0.463135f, 0.003571f, 0.448730f, 0.003315f, 0.434082f, 0.003077f, 0.419922f, 0.002857f, + 0.954102f, 0.045502f, 0.954102f, 0.045502f, 0.954102f, 0.045502f, 0.954102f, 0.045532f, + 0.954102f, 0.045563f, 0.954102f, 0.045593f, 0.953613f, 0.045654f, 0.953613f, 0.045715f, + 0.953125f, 0.045868f, 0.952148f, 0.045990f, 0.951660f, 0.046082f, 0.950195f, 0.046143f, + 0.948242f, 0.046265f, 0.946777f, 0.046265f, 0.943848f, 0.046265f, 0.941895f, 0.046204f, + 0.938477f, 0.046021f, 0.935059f, 0.045685f, 0.929199f, 0.045258f, 0.925293f, 0.044708f, + 0.919434f, 0.044006f, 0.912109f, 0.043121f, 0.905273f, 0.042145f, 0.897949f, 0.041016f, + 0.890137f, 0.039734f, 0.881348f, 0.038391f, 0.872559f, 0.036926f, 0.863770f, 0.035431f, + 0.854004f, 0.033813f, 0.844727f, 0.032227f, 0.835449f, 0.030640f, 0.825195f, 0.029037f, + 0.815430f, 0.027451f, 0.806152f, 0.025909f, 0.795898f, 0.024399f, 0.785645f, 0.022934f, + 0.775391f, 0.021530f, 0.765137f, 0.020187f, 0.754883f, 0.018890f, 0.743652f, 0.017670f, + 0.732910f, 0.016510f, 0.721680f, 0.015411f, 0.710449f, 0.014374f, 0.698730f, 0.013405f, + 0.686523f, 0.012482f, 0.674316f, 0.011620f, 0.662109f, 0.010811f, 0.649414f, 0.010063f, + 0.636230f, 0.009354f, 0.623047f, 0.008698f, 0.609375f, 0.008080f, 0.595703f, 0.007507f, + 0.582031f, 0.006973f, 0.567871f, 0.006477f, 0.553711f, 0.006016f, 0.539551f, 0.005585f, + 0.524902f, 0.005180f, 0.510254f, 0.004810f, 0.496094f, 0.004463f, 0.481689f, 0.004147f, + 0.467041f, 0.003847f, 0.452637f, 0.003571f, 0.438232f, 0.003315f, 0.424072f, 0.003077f, + 0.947266f, 0.052490f, 0.947266f, 0.052490f, 0.947266f, 0.052490f, 0.947266f, 0.052521f, + 0.947266f, 0.052551f, 0.946777f, 0.052582f, 0.946777f, 0.052612f, 0.946289f, 0.052734f, + 0.945801f, 0.052795f, 0.945312f, 0.052887f, 0.944336f, 0.052948f, 0.942871f, 0.053040f, + 0.941406f, 0.053009f, 0.939941f, 0.053009f, 0.937012f, 0.052917f, 0.934570f, 0.052704f, + 0.931641f, 0.052399f, 0.926758f, 0.051971f, 0.922852f, 0.051331f, 0.917480f, 0.050568f, + 0.911133f, 0.049622f, 0.904297f, 0.048523f, 0.898438f, 0.047272f, 0.890137f, 0.045868f, + 0.882812f, 0.044312f, 0.874512f, 0.042694f, 0.865723f, 0.040955f, 0.856934f, 0.039154f, + 0.847656f, 0.037354f, 0.838867f, 0.035522f, 0.829590f, 0.033661f, 0.820312f, 0.031830f, + 0.811035f, 0.030060f, 0.801270f, 0.028305f, 0.791992f, 0.026611f, 0.782227f, 0.024994f, + 0.772461f, 0.023422f, 0.762695f, 0.021927f, 0.752441f, 0.020508f, 0.742188f, 0.019165f, + 0.731445f, 0.017883f, 0.721191f, 0.016678f, 0.709961f, 0.015556f, 0.698730f, 0.014488f, + 0.687012f, 0.013489f, 0.675293f, 0.012550f, 0.663086f, 0.011673f, 0.650879f, 0.010849f, + 0.638184f, 0.010086f, 0.625000f, 0.009369f, 0.611816f, 0.008705f, 0.598145f, 0.008087f, + 0.584961f, 0.007511f, 0.570801f, 0.006977f, 0.556641f, 0.006474f, 0.542480f, 0.006012f, + 0.528320f, 0.005581f, 0.514160f, 0.005180f, 0.499756f, 0.004807f, 0.485596f, 0.004459f, + 0.471191f, 0.004139f, 0.456787f, 0.003843f, 0.442383f, 0.003569f, 0.428467f, 0.003313f, + 0.939453f, 0.060333f, 0.939453f, 0.060333f, 0.939453f, 0.060333f, 0.939453f, 0.060333f, + 0.939453f, 0.060394f, 0.938965f, 0.060394f, 0.938965f, 0.060455f, 0.938477f, 0.060516f, + 0.937988f, 0.060577f, 0.937500f, 0.060638f, 0.936035f, 0.060669f, 0.935547f, 0.060669f, + 0.933594f, 0.060608f, 0.931641f, 0.060516f, 0.929688f, 0.060272f, 0.927246f, 0.059967f, + 0.922363f, 0.059448f, 0.918945f, 0.058868f, 0.914062f, 0.057953f, 0.908691f, 0.056946f, + 0.902832f, 0.055786f, 0.897461f, 0.054382f, 0.890137f, 0.052826f, 0.882324f, 0.051117f, + 0.874023f, 0.049255f, 0.866211f, 0.047302f, 0.858398f, 0.045288f, 0.849609f, 0.043213f, + 0.840820f, 0.041107f, 0.832031f, 0.038971f, 0.823730f, 0.036896f, 0.814453f, 0.034821f, + 0.806152f, 0.032806f, 0.796875f, 0.030853f, 0.788086f, 0.028961f, 0.778809f, 0.027161f, + 0.769531f, 0.025421f, 0.760254f, 0.023788f, 0.750488f, 0.022217f, 0.740723f, 0.020737f, + 0.730957f, 0.019333f, 0.720703f, 0.018021f, 0.709961f, 0.016785f, 0.698730f, 0.015625f, + 0.687500f, 0.014549f, 0.676270f, 0.013535f, 0.664551f, 0.012573f, 0.652344f, 0.011688f, + 0.640137f, 0.010864f, 0.627441f, 0.010086f, 0.614258f, 0.009369f, 0.601074f, 0.008698f, + 0.587402f, 0.008080f, 0.573730f, 0.007500f, 0.560059f, 0.006962f, 0.545898f, 0.006462f, + 0.531738f, 0.006001f, 0.517578f, 0.005569f, 0.503418f, 0.005165f, 0.489502f, 0.004795f, + 0.475098f, 0.004452f, 0.460938f, 0.004131f, 0.446777f, 0.003838f, 0.432861f, 0.003563f, + 0.930664f, 0.069031f, 0.930664f, 0.069031f, 0.930664f, 0.069031f, 0.930664f, 0.069031f, + 0.930664f, 0.069092f, 0.930664f, 0.069092f, 0.930176f, 0.069214f, 0.929688f, 0.069153f, + 0.929199f, 0.069214f, 0.929199f, 0.069275f, 0.927246f, 0.069214f, 0.926758f, 0.069153f, + 0.925293f, 0.069031f, 0.923340f, 0.068787f, 0.920410f, 0.068420f, 0.917480f, 0.067932f, + 0.914551f, 0.067261f, 0.911133f, 0.066345f, 0.905273f, 0.065247f, 0.900391f, 0.063965f, + 0.894043f, 0.062469f, 0.888184f, 0.060699f, 0.880859f, 0.058807f, 0.873535f, 0.056763f, + 0.866211f, 0.054565f, 0.858887f, 0.052277f, 0.850586f, 0.049896f, 0.841797f, 0.047485f, + 0.833496f, 0.045105f, 0.825684f, 0.042664f, 0.817383f, 0.040283f, 0.809082f, 0.037964f, + 0.800781f, 0.035706f, 0.792480f, 0.033539f, 0.784180f, 0.031433f, 0.775391f, 0.029449f, + 0.766602f, 0.027542f, 0.757812f, 0.025726f, 0.748535f, 0.024017f, 0.739258f, 0.022400f, + 0.729980f, 0.020874f, 0.719727f, 0.019440f, 0.709961f, 0.018097f, 0.699219f, 0.016830f, + 0.688477f, 0.015656f, 0.677246f, 0.014557f, 0.665527f, 0.013527f, 0.653809f, 0.012573f, + 0.641602f, 0.011681f, 0.629395f, 0.010841f, 0.616699f, 0.010071f, 0.603516f, 0.009346f, + 0.590332f, 0.008682f, 0.577148f, 0.008057f, 0.563477f, 0.007481f, 0.549316f, 0.006943f, + 0.535645f, 0.006443f, 0.521484f, 0.005978f, 0.507324f, 0.005550f, 0.493408f, 0.005150f, + 0.479248f, 0.004780f, 0.465332f, 0.004436f, 0.451172f, 0.004124f, 0.437256f, 0.003828f, + 0.920898f, 0.078735f, 0.920898f, 0.078735f, 0.920898f, 0.078735f, 0.920898f, 0.078735f, + 0.920898f, 0.078796f, 0.920898f, 0.078796f, 0.920410f, 0.078796f, 0.919922f, 0.078857f, + 0.919922f, 0.078857f, 0.918945f, 0.078796f, 0.917480f, 0.078735f, 0.916992f, 0.078613f, + 0.915039f, 0.078308f, 0.913086f, 0.077942f, 0.910645f, 0.077454f, 0.908691f, 0.076660f, + 0.905273f, 0.075745f, 0.899902f, 0.074585f, 0.895996f, 0.073181f, 0.889648f, 0.071533f, + 0.883789f, 0.069641f, 0.877930f, 0.067566f, 0.872070f, 0.065247f, 0.864258f, 0.062805f, + 0.856934f, 0.060242f, 0.849121f, 0.057556f, 0.841797f, 0.054810f, 0.833984f, 0.052063f, + 0.827148f, 0.049316f, 0.818848f, 0.046570f, 0.811035f, 0.043915f, 0.803223f, 0.041290f, + 0.795898f, 0.038788f, 0.788086f, 0.036377f, 0.779785f, 0.034058f, 0.771973f, 0.031830f, + 0.763672f, 0.029755f, 0.755371f, 0.027771f, 0.747070f, 0.025894f, 0.738281f, 0.024139f, + 0.729004f, 0.022476f, 0.719238f, 0.020935f, 0.709473f, 0.019470f, 0.699707f, 0.018097f, + 0.688965f, 0.016830f, 0.678223f, 0.015640f, 0.666992f, 0.014534f, 0.655762f, 0.013496f, + 0.643555f, 0.012535f, 0.631348f, 0.011642f, 0.619141f, 0.010803f, 0.606445f, 0.010033f, + 0.593262f, 0.009308f, 0.580078f, 0.008644f, 0.566406f, 0.008018f, 0.553223f, 0.007446f, + 0.539062f, 0.006908f, 0.525391f, 0.006413f, 0.511230f, 0.005951f, 0.497559f, 0.005527f, + 0.483643f, 0.005131f, 0.469482f, 0.004765f, 0.455566f, 0.004421f, 0.441650f, 0.004108f, + 0.910156f, 0.089539f, 0.910156f, 0.089539f, 0.910156f, 0.089539f, 0.910156f, 0.089539f, + 0.910156f, 0.089539f, 0.909668f, 0.089539f, 0.909668f, 0.089539f, 0.909180f, 0.089539f, + 0.908691f, 0.089478f, 0.907715f, 0.089417f, 0.907227f, 0.089233f, 0.905762f, 0.088989f, + 0.904297f, 0.088562f, 0.902832f, 0.088013f, 0.900391f, 0.087280f, 0.896973f, 0.086243f, + 0.895020f, 0.085083f, 0.889160f, 0.083557f, 0.884766f, 0.081787f, 0.878906f, 0.079712f, + 0.874512f, 0.077393f, 0.867676f, 0.074951f, 0.860840f, 0.072205f, 0.854492f, 0.069275f, + 0.848145f, 0.066223f, 0.840820f, 0.063171f, 0.833008f, 0.060059f, 0.826172f, 0.056885f, + 0.819336f, 0.053741f, 0.812012f, 0.050690f, 0.804688f, 0.047699f, 0.797852f, 0.044800f, + 0.790527f, 0.042023f, 0.783691f, 0.039337f, 0.776367f, 0.036804f, 0.768555f, 0.034393f, + 0.761230f, 0.032074f, 0.753418f, 0.029922f, 0.745117f, 0.027893f, 0.736816f, 0.025970f, + 0.728516f, 0.024170f, 0.719238f, 0.022491f, 0.709961f, 0.020905f, 0.700195f, 0.019440f, + 0.689941f, 0.018066f, 0.679688f, 0.016785f, 0.668457f, 0.015587f, 0.657227f, 0.014473f, + 0.645996f, 0.013443f, 0.633789f, 0.012474f, 0.621582f, 0.011581f, 0.609375f, 0.010750f, + 0.596191f, 0.009972f, 0.583496f, 0.009262f, 0.569824f, 0.008591f, 0.556641f, 0.007973f, + 0.542969f, 0.007404f, 0.529297f, 0.006874f, 0.515625f, 0.006378f, 0.501465f, 0.005920f, + 0.487793f, 0.005501f, 0.474121f, 0.005108f, 0.460205f, 0.004742f, 0.446289f, 0.004406f, + 0.898438f, 0.101440f, 0.898438f, 0.101440f, 0.898438f, 0.101440f, 0.898438f, 0.101440f, + 0.897949f, 0.101440f, 0.897949f, 0.101440f, 0.897461f, 0.101440f, 0.896973f, 0.101379f, + 0.896973f, 0.101318f, 0.895996f, 0.101135f, 0.895508f, 0.100830f, 0.894043f, 0.100464f, + 0.893066f, 0.099854f, 0.890625f, 0.099121f, 0.888184f, 0.098083f, 0.885254f, 0.096802f, + 0.882324f, 0.095215f, 0.878418f, 0.093323f, 0.872559f, 0.091125f, 0.869629f, 0.088623f, + 0.862793f, 0.085815f, 0.855957f, 0.082764f, 0.850098f, 0.079590f, 0.844727f, 0.076172f, + 0.837402f, 0.072693f, 0.831055f, 0.069092f, 0.824219f, 0.065491f, 0.817871f, 0.061981f, + 0.811035f, 0.058472f, 0.804688f, 0.055023f, 0.797852f, 0.051697f, 0.791992f, 0.048492f, + 0.785645f, 0.045410f, 0.778809f, 0.042480f, 0.771973f, 0.039673f, 0.765625f, 0.037018f, + 0.758789f, 0.034515f, 0.750977f, 0.032166f, 0.743652f, 0.029968f, 0.735840f, 0.027878f, + 0.727539f, 0.025940f, 0.718750f, 0.024124f, 0.709961f, 0.022430f, 0.700684f, 0.020844f, + 0.690918f, 0.019363f, 0.680664f, 0.017975f, 0.670410f, 0.016693f, 0.659180f, 0.015495f, + 0.647949f, 0.014389f, 0.636230f, 0.013359f, 0.624512f, 0.012398f, 0.611816f, 0.011505f, + 0.599609f, 0.010681f, 0.586426f, 0.009911f, 0.573730f, 0.009201f, 0.560547f, 0.008537f, + 0.546875f, 0.007927f, 0.533203f, 0.007355f, 0.519531f, 0.006828f, 0.505859f, 0.006340f, + 0.492432f, 0.005890f, 0.478516f, 0.005470f, 0.464844f, 0.005077f, 0.450928f, 0.004719f, + 0.885254f, 0.114624f, 0.885254f, 0.114624f, 0.885254f, 0.114624f, 0.885254f, 0.114624f, + 0.884766f, 0.114624f, 0.884766f, 0.114563f, 0.884766f, 0.114502f, 0.884277f, 0.114380f, + 0.883789f, 0.114258f, 0.883301f, 0.114014f, 0.882324f, 0.113525f, 0.881348f, 0.112976f, + 0.879395f, 0.112183f, 0.877441f, 0.111145f, 0.875977f, 0.109802f, 0.872559f, 0.108215f, + 0.869141f, 0.106201f, 0.865723f, 0.103821f, 0.860352f, 0.101196f, 0.854492f, 0.098145f, + 0.850586f, 0.094849f, 0.845215f, 0.091187f, 0.838379f, 0.087463f, 0.833496f, 0.083496f, + 0.826660f, 0.079468f, 0.820801f, 0.075378f, 0.814453f, 0.071289f, 0.809082f, 0.067322f, + 0.803711f, 0.063354f, 0.797363f, 0.059540f, 0.791992f, 0.055878f, 0.786133f, 0.052338f, + 0.780762f, 0.048950f, 0.774414f, 0.045746f, 0.768555f, 0.042664f, 0.762207f, 0.039795f, + 0.755859f, 0.037079f, 0.749023f, 0.034546f, 0.741699f, 0.032135f, 0.734863f, 0.029892f, + 0.727051f, 0.027802f, 0.718750f, 0.025833f, 0.710449f, 0.024002f, 0.701172f, 0.022293f, + 0.691895f, 0.020706f, 0.682129f, 0.019226f, 0.671875f, 0.017853f, 0.661133f, 0.016571f, + 0.650391f, 0.015381f, 0.639160f, 0.014282f, 0.626953f, 0.013252f, 0.615234f, 0.012299f, + 0.602539f, 0.011414f, 0.590332f, 0.010597f, 0.577148f, 0.009834f, 0.563965f, 0.009132f, + 0.550781f, 0.008476f, 0.537598f, 0.007866f, 0.523926f, 0.007309f, 0.510254f, 0.006786f, + 0.496826f, 0.006306f, 0.483154f, 0.005856f, 0.469482f, 0.005440f, 0.455811f, 0.005054f, + 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870605f, 0.129028f, + 0.870605f, 0.129028f, 0.870605f, 0.129028f, 0.870117f, 0.128906f, 0.870117f, 0.128784f, + 0.869629f, 0.128540f, 0.869141f, 0.128052f, 0.868164f, 0.127563f, 0.867188f, 0.126709f, + 0.865723f, 0.125732f, 0.863281f, 0.124329f, 0.862305f, 0.122742f, 0.858887f, 0.120544f, + 0.854980f, 0.118103f, 0.850098f, 0.115173f, 0.847168f, 0.111938f, 0.843750f, 0.108276f, + 0.836426f, 0.104309f, 0.832031f, 0.100159f, 0.827148f, 0.095764f, 0.821289f, 0.091187f, + 0.815918f, 0.086609f, 0.810547f, 0.081970f, 0.806152f, 0.077393f, 0.800781f, 0.072937f, + 0.795410f, 0.068542f, 0.790039f, 0.064270f, 0.785645f, 0.060242f, 0.780762f, 0.056335f, + 0.775391f, 0.052643f, 0.770020f, 0.049133f, 0.765137f, 0.045807f, 0.759766f, 0.042694f, + 0.753906f, 0.039734f, 0.747559f, 0.036987f, 0.740723f, 0.034393f, 0.733887f, 0.031982f, + 0.726562f, 0.029739f, 0.719238f, 0.027618f, 0.710449f, 0.025650f, 0.702148f, 0.023834f, + 0.692871f, 0.022125f, 0.683594f, 0.020538f, 0.673828f, 0.019058f, 0.663574f, 0.017685f, + 0.652832f, 0.016418f, 0.641602f, 0.015244f, 0.629883f, 0.014153f, 0.618164f, 0.013138f, + 0.605957f, 0.012192f, 0.593750f, 0.011314f, 0.581055f, 0.010506f, 0.567871f, 0.009750f, + 0.555176f, 0.009056f, 0.541504f, 0.008408f, 0.528320f, 0.007809f, 0.514648f, 0.007252f, + 0.501465f, 0.006741f, 0.487793f, 0.006260f, 0.474365f, 0.005817f, 0.460938f, 0.005409f, + 0.854492f, 0.145020f, 0.854492f, 0.145020f, 0.854492f, 0.145020f, 0.854492f, 0.145020f, + 0.854492f, 0.144897f, 0.854492f, 0.144897f, 0.854004f, 0.144653f, 0.854492f, 0.144531f, + 0.854004f, 0.144165f, 0.853027f, 0.143555f, 0.852051f, 0.142822f, 0.851074f, 0.141724f, + 0.850586f, 0.140503f, 0.848145f, 0.138672f, 0.846191f, 0.136475f, 0.843262f, 0.133911f, + 0.839844f, 0.130859f, 0.835449f, 0.127319f, 0.832031f, 0.123474f, 0.828613f, 0.119141f, + 0.823242f, 0.114502f, 0.819824f, 0.109558f, 0.813477f, 0.104431f, 0.809570f, 0.099304f, + 0.804199f, 0.094055f, 0.799316f, 0.088867f, 0.794922f, 0.083740f, 0.791992f, 0.078735f, + 0.786621f, 0.073914f, 0.783203f, 0.069214f, 0.779297f, 0.064758f, 0.774902f, 0.060516f, + 0.770508f, 0.056488f, 0.765625f, 0.052673f, 0.761230f, 0.049072f, 0.756348f, 0.045715f, + 0.750977f, 0.042511f, 0.745605f, 0.039551f, 0.739746f, 0.036774f, 0.733398f, 0.034180f, + 0.726562f, 0.031738f, 0.719238f, 0.029495f, 0.711426f, 0.027390f, 0.703125f, 0.025421f, + 0.694336f, 0.023605f, 0.685059f, 0.021912f, 0.675781f, 0.020340f, 0.665527f, 0.018875f, + 0.655273f, 0.017517f, 0.644043f, 0.016251f, 0.632812f, 0.015091f, 0.621582f, 0.014008f, + 0.609375f, 0.013000f, 0.597168f, 0.012070f, 0.584473f, 0.011200f, 0.571777f, 0.010406f, + 0.559082f, 0.009659f, 0.545898f, 0.008972f, 0.532715f, 0.008339f, 0.519531f, 0.007748f, + 0.505859f, 0.007198f, 0.492676f, 0.006691f, 0.479248f, 0.006218f, 0.465820f, 0.005783f, + 0.837402f, 0.162476f, 0.837402f, 0.162476f, 0.837402f, 0.162476f, 0.837402f, 0.162354f, + 0.837402f, 0.162354f, 0.836914f, 0.162231f, 0.836914f, 0.161987f, 0.836426f, 0.161743f, + 0.836426f, 0.161133f, 0.835449f, 0.160522f, 0.835449f, 0.159546f, 0.834473f, 0.158203f, + 0.833496f, 0.156372f, 0.831055f, 0.154175f, 0.830078f, 0.151489f, 0.826660f, 0.148315f, + 0.823242f, 0.144531f, 0.821289f, 0.140381f, 0.817383f, 0.135620f, 0.812012f, 0.130615f, + 0.810547f, 0.125122f, 0.805176f, 0.119507f, 0.800293f, 0.113647f, 0.797852f, 0.107788f, + 0.792480f, 0.101868f, 0.788574f, 0.096008f, 0.785156f, 0.090332f, 0.782715f, 0.084839f, + 0.779297f, 0.079468f, 0.774902f, 0.074341f, 0.772461f, 0.069458f, 0.769531f, 0.064819f, + 0.765137f, 0.060486f, 0.761719f, 0.056366f, 0.758301f, 0.052490f, 0.753418f, 0.048828f, + 0.749023f, 0.045410f, 0.743652f, 0.042206f, 0.738770f, 0.039215f, 0.732422f, 0.036438f, + 0.726074f, 0.033844f, 0.719238f, 0.031433f, 0.711914f, 0.029190f, 0.704102f, 0.027100f, + 0.695801f, 0.025146f, 0.687012f, 0.023346f, 0.677734f, 0.021667f, 0.667969f, 0.020111f, + 0.657715f, 0.018646f, 0.646973f, 0.017319f, 0.636230f, 0.016068f, 0.624512f, 0.014923f, + 0.612793f, 0.013855f, 0.601074f, 0.012863f, 0.588379f, 0.011948f, 0.576172f, 0.011093f, + 0.563477f, 0.010300f, 0.550293f, 0.009567f, 0.537109f, 0.008896f, 0.523926f, 0.008263f, + 0.510742f, 0.007687f, 0.497559f, 0.007145f, 0.484375f, 0.006645f, 0.470947f, 0.006180f, + 0.818359f, 0.181519f, 0.818359f, 0.181519f, 0.818359f, 0.181519f, 0.817871f, 0.181519f, + 0.817871f, 0.181396f, 0.817871f, 0.181274f, 0.817871f, 0.181030f, 0.817871f, 0.180542f, + 0.817871f, 0.179932f, 0.817383f, 0.178955f, 0.816406f, 0.177612f, 0.815918f, 0.175903f, + 0.814941f, 0.173584f, 0.812500f, 0.170898f, 0.811035f, 0.167603f, 0.808594f, 0.163696f, + 0.805664f, 0.159180f, 0.802246f, 0.154175f, 0.799805f, 0.148560f, 0.796875f, 0.142700f, + 0.792480f, 0.136353f, 0.789551f, 0.129883f, 0.787598f, 0.123230f, 0.782227f, 0.116577f, + 0.780273f, 0.109985f, 0.777344f, 0.103516f, 0.774414f, 0.097168f, 0.771973f, 0.091125f, + 0.770508f, 0.085205f, 0.767578f, 0.079651f, 0.765625f, 0.074341f, 0.763184f, 0.069336f, + 0.760254f, 0.064636f, 0.757812f, 0.060181f, 0.754395f, 0.056000f, 0.750977f, 0.052063f, + 0.747559f, 0.048431f, 0.742188f, 0.044983f, 0.737793f, 0.041779f, 0.732422f, 0.038818f, + 0.726074f, 0.036041f, 0.719727f, 0.033447f, 0.712891f, 0.031052f, 0.705566f, 0.028824f, + 0.697266f, 0.026749f, 0.688965f, 0.024826f, 0.679688f, 0.023041f, 0.670410f, 0.021393f, + 0.660645f, 0.019852f, 0.649902f, 0.018433f, 0.639160f, 0.017105f, 0.627930f, 0.015869f, + 0.616211f, 0.014748f, 0.604492f, 0.013687f, 0.592773f, 0.012718f, 0.580078f, 0.011818f, + 0.567871f, 0.010979f, 0.554688f, 0.010201f, 0.541992f, 0.009483f, 0.528809f, 0.008812f, + 0.515625f, 0.008194f, 0.502441f, 0.007626f, 0.489502f, 0.007088f, 0.476318f, 0.006599f, + 0.797363f, 0.202393f, 0.797363f, 0.202393f, 0.797363f, 0.202393f, 0.797363f, 0.202393f, + 0.797363f, 0.202148f, 0.797363f, 0.202026f, 0.797363f, 0.201660f, 0.797363f, 0.201050f, + 0.796875f, 0.200195f, 0.796875f, 0.198975f, 0.796387f, 0.197266f, 0.795898f, 0.195068f, + 0.794922f, 0.192261f, 0.792969f, 0.188843f, 0.792480f, 0.184937f, 0.789551f, 0.180298f, + 0.787598f, 0.174927f, 0.785645f, 0.168823f, 0.782715f, 0.162231f, 0.779297f, 0.155273f, + 0.775879f, 0.148071f, 0.775391f, 0.140747f, 0.772461f, 0.133179f, 0.770508f, 0.125732f, + 0.767578f, 0.118347f, 0.766113f, 0.111206f, 0.764648f, 0.104248f, 0.763184f, 0.097595f, + 0.762695f, 0.091187f, 0.761719f, 0.085144f, 0.759277f, 0.079407f, 0.758301f, 0.073975f, + 0.755859f, 0.068909f, 0.754395f, 0.064087f, 0.751465f, 0.059631f, 0.748535f, 0.055450f, + 0.745117f, 0.051514f, 0.741211f, 0.047852f, 0.737305f, 0.044434f, 0.731934f, 0.041260f, + 0.726562f, 0.038300f, 0.720215f, 0.035553f, 0.713867f, 0.032990f, 0.706543f, 0.030624f, + 0.699219f, 0.028427f, 0.690918f, 0.026382f, 0.682129f, 0.024475f, 0.672852f, 0.022720f, + 0.663086f, 0.021088f, 0.652832f, 0.019577f, 0.642578f, 0.018173f, 0.631348f, 0.016876f, + 0.620117f, 0.015671f, 0.608398f, 0.014565f, 0.596680f, 0.013535f, 0.584473f, 0.012573f, + 0.572266f, 0.011681f, 0.559570f, 0.010857f, 0.546875f, 0.010101f, 0.533691f, 0.009392f, + 0.520996f, 0.008736f, 0.507812f, 0.008125f, 0.494629f, 0.007565f, 0.481689f, 0.007042f, + 0.774414f, 0.225098f, 0.774414f, 0.225098f, 0.774414f, 0.225098f, 0.774414f, 0.225098f, + 0.774414f, 0.224854f, 0.774902f, 0.224609f, 0.774414f, 0.224121f, 0.774414f, 0.223389f, + 0.774414f, 0.222290f, 0.773926f, 0.220581f, 0.773926f, 0.218628f, 0.773926f, 0.215942f, + 0.773438f, 0.212524f, 0.772461f, 0.208374f, 0.771484f, 0.203491f, 0.770508f, 0.197754f, + 0.769043f, 0.191284f, 0.766113f, 0.184204f, 0.763672f, 0.176514f, 0.760742f, 0.168457f, + 0.760742f, 0.160278f, 0.757812f, 0.151855f, 0.757812f, 0.143433f, 0.756836f, 0.135132f, + 0.754395f, 0.126953f, 0.755371f, 0.119141f, 0.755371f, 0.111511f, 0.754395f, 0.104309f, + 0.753418f, 0.097351f, 0.754395f, 0.090820f, 0.753906f, 0.084595f, 0.752441f, 0.078796f, + 0.751465f, 0.073303f, 0.750000f, 0.068176f, 0.748535f, 0.063354f, 0.746094f, 0.058899f, + 0.743164f, 0.054718f, 0.740234f, 0.050812f, 0.736816f, 0.047150f, 0.731934f, 0.043793f, + 0.727051f, 0.040649f, 0.721191f, 0.037720f, 0.714844f, 0.035004f, 0.708008f, 0.032501f, + 0.700684f, 0.030167f, 0.692871f, 0.027985f, 0.684570f, 0.025986f, 0.675781f, 0.024124f, + 0.666016f, 0.022385f, 0.656250f, 0.020782f, 0.645996f, 0.019302f, 0.635254f, 0.017929f, + 0.624023f, 0.016647f, 0.612793f, 0.015480f, 0.601074f, 0.014381f, 0.588867f, 0.013367f, + 0.576660f, 0.012428f, 0.563965f, 0.011559f, 0.551270f, 0.010750f, 0.539062f, 0.010002f, + 0.525879f, 0.009308f, 0.513184f, 0.008659f, 0.500000f, 0.008064f, 0.487061f, 0.007511f, + 0.750000f, 0.249878f, 0.749512f, 0.249878f, 0.750000f, 0.249878f, 0.750000f, 0.249756f, + 0.750000f, 0.249512f, 0.750000f, 0.249146f, 0.750000f, 0.248413f, 0.750488f, 0.247559f, + 0.750488f, 0.246094f, 0.750488f, 0.244141f, 0.750488f, 0.241577f, 0.750488f, 0.238281f, + 0.748535f, 0.234009f, 0.749512f, 0.229004f, 0.749023f, 0.223022f, 0.747070f, 0.216309f, + 0.745117f, 0.208496f, 0.743164f, 0.200195f, 0.744629f, 0.191406f, 0.741211f, 0.182251f, + 0.741699f, 0.172852f, 0.740234f, 0.163330f, 0.742676f, 0.154053f, 0.741211f, 0.144775f, + 0.743652f, 0.135864f, 0.744629f, 0.127197f, 0.743164f, 0.118958f, 0.744629f, 0.111145f, + 0.745605f, 0.103638f, 0.746582f, 0.096558f, 0.748047f, 0.089966f, 0.747559f, 0.083679f, + 0.747559f, 0.077820f, 0.746582f, 0.072327f, 0.745605f, 0.067261f, 0.744629f, 0.062469f, + 0.742676f, 0.058014f, 0.739746f, 0.053864f, 0.735840f, 0.049988f, 0.731934f, 0.046417f, + 0.727539f, 0.043091f, 0.722168f, 0.039978f, 0.716309f, 0.037079f, 0.709473f, 0.034424f, + 0.702637f, 0.031952f, 0.695312f, 0.029663f, 0.687012f, 0.027542f, 0.678223f, 0.025558f, + 0.668945f, 0.023743f, 0.659180f, 0.022049f, 0.649414f, 0.020477f, 0.638672f, 0.019028f, + 0.627930f, 0.017670f, 0.616699f, 0.016434f, 0.604980f, 0.015274f, 0.593262f, 0.014198f, + 0.581055f, 0.013206f, 0.568848f, 0.012283f, 0.556641f, 0.011429f, 0.543945f, 0.010643f, + 0.531250f, 0.009903f, 0.518066f, 0.009224f, 0.505371f, 0.008591f, 0.492676f, 0.008003f, + 0.723145f, 0.276611f, 0.723145f, 0.276611f, 0.723145f, 0.276611f, 0.723145f, 0.276611f, + 0.723145f, 0.276123f, 0.723145f, 0.275635f, 0.723145f, 0.274902f, 0.723633f, 0.273682f, + 0.723633f, 0.271973f, 0.724121f, 0.269531f, 0.724609f, 0.266113f, 0.725098f, 0.262207f, + 0.725098f, 0.257080f, 0.724609f, 0.250732f, 0.722656f, 0.243652f, 0.725586f, 0.235474f, + 0.724121f, 0.226685f, 0.723145f, 0.216919f, 0.722656f, 0.206787f, 0.720703f, 0.196289f, + 0.723145f, 0.185791f, 0.723633f, 0.175171f, 0.724121f, 0.164795f, 0.728027f, 0.154663f, + 0.730469f, 0.144897f, 0.731934f, 0.135498f, 0.734863f, 0.126587f, 0.737305f, 0.118103f, + 0.739258f, 0.110107f, 0.739746f, 0.102478f, 0.741699f, 0.095398f, 0.743164f, 0.088745f, + 0.743652f, 0.082520f, 0.743652f, 0.076660f, 0.743652f, 0.071228f, 0.742676f, 0.066101f, + 0.741211f, 0.061401f, 0.739258f, 0.057007f, 0.735840f, 0.052887f, 0.732422f, 0.049103f, + 0.728516f, 0.045563f, 0.723145f, 0.042297f, 0.717773f, 0.039246f, 0.711914f, 0.036438f, + 0.704590f, 0.033813f, 0.697754f, 0.031403f, 0.689453f, 0.029160f, 0.681152f, 0.027069f, + 0.671875f, 0.025146f, 0.662598f, 0.023346f, 0.652832f, 0.021698f, 0.642578f, 0.020157f, + 0.631836f, 0.018738f, 0.621094f, 0.017426f, 0.609375f, 0.016205f, 0.597656f, 0.015076f, + 0.585938f, 0.014023f, 0.573730f, 0.013054f, 0.561523f, 0.012146f, 0.548828f, 0.011314f, + 0.536621f, 0.010536f, 0.523926f, 0.009811f, 0.511230f, 0.009148f, 0.498291f, 0.008530f, + 0.693848f, 0.305664f, 0.693848f, 0.305664f, 0.693848f, 0.305664f, 0.693848f, 0.305664f, + 0.693848f, 0.305176f, 0.694336f, 0.304443f, 0.694824f, 0.303467f, 0.695312f, 0.302002f, + 0.695312f, 0.299561f, 0.696289f, 0.296631f, 0.696777f, 0.292725f, 0.696777f, 0.287598f, + 0.697754f, 0.281250f, 0.698242f, 0.273926f, 0.698730f, 0.265137f, 0.697266f, 0.255615f, + 0.699707f, 0.245239f, 0.699707f, 0.234131f, 0.700195f, 0.222412f, 0.702637f, 0.210693f, + 0.705078f, 0.198853f, 0.708496f, 0.187134f, 0.708984f, 0.175781f, 0.715332f, 0.164673f, + 0.718750f, 0.154053f, 0.722168f, 0.143921f, 0.724121f, 0.134277f, 0.727539f, 0.125244f, + 0.731934f, 0.116638f, 0.733398f, 0.108582f, 0.736816f, 0.101013f, 0.738281f, 0.093872f, + 0.740234f, 0.087219f, 0.741699f, 0.081055f, 0.741211f, 0.075256f, 0.741211f, 0.069885f, + 0.740723f, 0.064880f, 0.738281f, 0.060211f, 0.736328f, 0.055908f, 0.732910f, 0.051849f, + 0.729004f, 0.048157f, 0.724609f, 0.044678f, 0.719727f, 0.041473f, 0.713379f, 0.038483f, + 0.707031f, 0.035736f, 0.699707f, 0.033173f, 0.692383f, 0.030823f, 0.684082f, 0.028625f, + 0.675293f, 0.026596f, 0.666016f, 0.024704f, 0.656738f, 0.022964f, 0.646484f, 0.021347f, + 0.636230f, 0.019852f, 0.625488f, 0.018463f, 0.614258f, 0.017181f, 0.602539f, 0.015976f, + 0.590820f, 0.014877f, 0.578613f, 0.013855f, 0.566895f, 0.012901f, 0.554688f, 0.012024f, + 0.541992f, 0.011200f, 0.529297f, 0.010437f, 0.516602f, 0.009735f, 0.503906f, 0.009079f, + 0.662598f, 0.337158f, 0.662598f, 0.337158f, 0.662598f, 0.337158f, 0.662598f, 0.336914f, + 0.662598f, 0.336670f, 0.663086f, 0.335938f, 0.663086f, 0.334473f, 0.664062f, 0.332520f, + 0.665039f, 0.329834f, 0.666016f, 0.325928f, 0.665527f, 0.320801f, 0.667969f, 0.314697f, + 0.667480f, 0.306885f, 0.669922f, 0.298096f, 0.669434f, 0.287842f, 0.671387f, 0.276367f, + 0.675781f, 0.264404f, 0.675781f, 0.251465f, 0.677734f, 0.238403f, 0.681152f, 0.225342f, + 0.686035f, 0.212036f, 0.690430f, 0.199219f, 0.694824f, 0.186768f, 0.700684f, 0.174805f, + 0.702637f, 0.163330f, 0.708008f, 0.152466f, 0.714844f, 0.142212f, 0.718750f, 0.132446f, + 0.724609f, 0.123291f, 0.728516f, 0.114685f, 0.731445f, 0.106628f, 0.734375f, 0.099121f, + 0.736816f, 0.092102f, 0.738770f, 0.085510f, 0.740723f, 0.079407f, 0.740234f, 0.073730f, + 0.739258f, 0.068420f, 0.738770f, 0.063538f, 0.736328f, 0.058960f, 0.734375f, 0.054718f, + 0.730469f, 0.050781f, 0.726562f, 0.047150f, 0.721191f, 0.043762f, 0.715332f, 0.040619f, + 0.709473f, 0.037720f, 0.702637f, 0.035034f, 0.695312f, 0.032532f, 0.687500f, 0.030243f, + 0.678711f, 0.028107f, 0.669922f, 0.026123f, 0.660645f, 0.024277f, 0.650391f, 0.022583f, + 0.640137f, 0.021011f, 0.629395f, 0.019547f, 0.618652f, 0.018188f, 0.607422f, 0.016937f, + 0.595703f, 0.015778f, 0.583984f, 0.014694f, 0.572266f, 0.013695f, 0.560059f, 0.012764f, + 0.547852f, 0.011902f, 0.535156f, 0.011101f, 0.522461f, 0.010353f, 0.510254f, 0.009666f, + 0.628418f, 0.371338f, 0.628418f, 0.371338f, 0.628418f, 0.371094f, 0.628418f, 0.371094f, + 0.628418f, 0.370361f, 0.629395f, 0.369385f, 0.629883f, 0.367920f, 0.630859f, 0.365234f, + 0.631836f, 0.361816f, 0.633301f, 0.357178f, 0.634766f, 0.350830f, 0.635742f, 0.343262f, + 0.638184f, 0.333984f, 0.640137f, 0.322998f, 0.641113f, 0.311035f, 0.645508f, 0.297852f, + 0.647949f, 0.283691f, 0.652344f, 0.269043f, 0.657227f, 0.254395f, 0.662598f, 0.239868f, + 0.669922f, 0.225464f, 0.673340f, 0.211426f, 0.680664f, 0.197876f, 0.685547f, 0.184937f, + 0.693359f, 0.172729f, 0.700684f, 0.161011f, 0.705566f, 0.150146f, 0.711426f, 0.139771f, + 0.718750f, 0.130005f, 0.722168f, 0.120911f, 0.727051f, 0.112427f, 0.732422f, 0.104431f, + 0.733887f, 0.097046f, 0.737305f, 0.090088f, 0.738770f, 0.083618f, 0.740234f, 0.077637f, + 0.739258f, 0.072083f, 0.738281f, 0.066895f, 0.736816f, 0.062073f, 0.734375f, 0.057648f, + 0.731934f, 0.053497f, 0.728027f, 0.049683f, 0.723145f, 0.046112f, 0.717773f, 0.042816f, + 0.712402f, 0.039764f, 0.705566f, 0.036957f, 0.698242f, 0.034332f, 0.690430f, 0.031891f, + 0.682617f, 0.029663f, 0.673340f, 0.027573f, 0.664551f, 0.025650f, 0.654785f, 0.023865f, + 0.644531f, 0.022202f, 0.634277f, 0.020676f, 0.623535f, 0.019257f, 0.612305f, 0.017929f, + 0.601074f, 0.016708f, 0.589355f, 0.015579f, 0.577637f, 0.014526f, 0.565430f, 0.013550f, + 0.553223f, 0.012642f, 0.541016f, 0.011787f, 0.528809f, 0.011009f, 0.516113f, 0.010277f, + 0.591309f, 0.407959f, 0.591797f, 0.407959f, 0.591797f, 0.407959f, 0.591797f, 0.407471f, + 0.592285f, 0.406982f, 0.592773f, 0.405762f, 0.593750f, 0.403564f, 0.594727f, 0.400391f, + 0.596680f, 0.396240f, 0.598145f, 0.390137f, 0.600098f, 0.382568f, 0.602539f, 0.373047f, + 0.604980f, 0.361816f, 0.606934f, 0.348877f, 0.611816f, 0.334473f, 0.616699f, 0.319336f, + 0.620605f, 0.302979f, 0.627930f, 0.286865f, 0.634277f, 0.270508f, 0.638672f, 0.254150f, + 0.647949f, 0.238525f, 0.654297f, 0.223389f, 0.663086f, 0.208862f, 0.673828f, 0.195068f, + 0.680176f, 0.182007f, 0.689941f, 0.169678f, 0.696289f, 0.157959f, 0.705078f, 0.147095f, + 0.713867f, 0.136841f, 0.719727f, 0.127197f, 0.724121f, 0.118225f, 0.729980f, 0.109863f, + 0.731934f, 0.101990f, 0.735840f, 0.094727f, 0.737305f, 0.087952f, 0.738770f, 0.081604f, + 0.740234f, 0.075745f, 0.739258f, 0.070312f, 0.738281f, 0.065247f, 0.735840f, 0.060608f, + 0.733398f, 0.056274f, 0.729492f, 0.052246f, 0.725098f, 0.048523f, 0.720703f, 0.045074f, + 0.714355f, 0.041870f, 0.708496f, 0.038910f, 0.701660f, 0.036163f, 0.693848f, 0.033630f, + 0.686035f, 0.031281f, 0.677734f, 0.029099f, 0.668457f, 0.027069f, 0.659180f, 0.025192f, + 0.648926f, 0.023453f, 0.639160f, 0.021851f, 0.628418f, 0.020355f, 0.617676f, 0.018967f, + 0.605957f, 0.017685f, 0.594727f, 0.016495f, 0.583008f, 0.015388f, 0.571289f, 0.014366f, + 0.559570f, 0.013412f, 0.546875f, 0.012520f, 0.534668f, 0.011696f, 0.522461f, 0.010925f, + 0.551758f, 0.447754f, 0.551758f, 0.447754f, 0.552246f, 0.447510f, 0.552246f, 0.447266f, + 0.552734f, 0.446289f, 0.553223f, 0.444580f, 0.555176f, 0.441895f, 0.556152f, 0.438232f, + 0.558594f, 0.432617f, 0.561035f, 0.425049f, 0.563477f, 0.415527f, 0.566406f, 0.404053f, + 0.570312f, 0.390381f, 0.575195f, 0.375000f, 0.578613f, 0.358154f, 0.584473f, 0.340332f, + 0.593750f, 0.322266f, 0.600098f, 0.303955f, 0.611328f, 0.286133f, 0.617676f, 0.268555f, + 0.629395f, 0.251709f, 0.640625f, 0.235352f, 0.649902f, 0.219849f, 0.661621f, 0.205078f, + 0.671387f, 0.191284f, 0.678711f, 0.178223f, 0.688965f, 0.166016f, 0.699707f, 0.154419f, + 0.707031f, 0.143555f, 0.714844f, 0.133545f, 0.719727f, 0.124084f, 0.726074f, 0.115295f, + 0.731445f, 0.107056f, 0.734863f, 0.099365f, 0.737305f, 0.092285f, 0.739258f, 0.085632f, + 0.740234f, 0.079529f, 0.739746f, 0.073792f, 0.739258f, 0.068542f, 0.737793f, 0.063599f, + 0.734863f, 0.059082f, 0.731934f, 0.054871f, 0.727539f, 0.050964f, 0.723633f, 0.047394f, + 0.717773f, 0.044006f, 0.711426f, 0.040924f, 0.705078f, 0.038055f, 0.697754f, 0.035400f, + 0.689941f, 0.032928f, 0.681641f, 0.030655f, 0.672852f, 0.028534f, 0.663574f, 0.026581f, + 0.653809f, 0.024750f, 0.644043f, 0.023071f, 0.633301f, 0.021515f, 0.622559f, 0.020050f, + 0.611328f, 0.018707f, 0.600098f, 0.017456f, 0.588867f, 0.016296f, 0.577148f, 0.015221f, + 0.565430f, 0.014221f, 0.553223f, 0.013290f, 0.541504f, 0.012421f, 0.528809f, 0.011620f, + 0.509277f, 0.490234f, 0.509277f, 0.490234f, 0.509277f, 0.489990f, 0.509766f, 0.489502f, + 0.510254f, 0.488525f, 0.511230f, 0.486328f, 0.512695f, 0.482910f, 0.514160f, 0.478027f, + 0.517578f, 0.470947f, 0.520996f, 0.461670f, 0.523926f, 0.449707f, 0.528809f, 0.435303f, + 0.534180f, 0.418945f, 0.540527f, 0.400635f, 0.548340f, 0.381348f, 0.554688f, 0.361328f, + 0.566895f, 0.340820f, 0.577637f, 0.320801f, 0.588867f, 0.301270f, 0.601074f, 0.282471f, + 0.610352f, 0.264404f, 0.624023f, 0.247070f, 0.637207f, 0.230591f, 0.649414f, 0.215210f, + 0.662109f, 0.200562f, 0.672852f, 0.186768f, 0.685547f, 0.173828f, 0.693359f, 0.161743f, + 0.702148f, 0.150391f, 0.711426f, 0.139771f, 0.720703f, 0.129883f, 0.726074f, 0.120667f, + 0.730469f, 0.112061f, 0.733887f, 0.104065f, 0.738281f, 0.096619f, 0.739258f, 0.089722f, + 0.740234f, 0.083252f, 0.741699f, 0.077332f, 0.740723f, 0.071777f, 0.739258f, 0.066711f, + 0.736816f, 0.061951f, 0.734375f, 0.057556f, 0.730469f, 0.053497f, 0.726074f, 0.049713f, + 0.720703f, 0.046234f, 0.714844f, 0.042999f, 0.708496f, 0.039978f, 0.701172f, 0.037231f, + 0.693848f, 0.034637f, 0.685547f, 0.032257f, 0.677246f, 0.030060f, 0.667969f, 0.028000f, + 0.658691f, 0.026108f, 0.648926f, 0.024338f, 0.638672f, 0.022705f, 0.627930f, 0.021194f, + 0.617188f, 0.019775f, 0.605957f, 0.018463f, 0.594727f, 0.017258f, 0.583008f, 0.016129f, + 0.571289f, 0.015076f, 0.559570f, 0.014099f, 0.547852f, 0.013191f, 0.535645f, 0.012337f, + 0.463623f, 0.536133f, 0.463623f, 0.536133f, 0.463867f, 0.535645f, 0.464111f, 0.535156f, + 0.465088f, 0.533691f, 0.466064f, 0.530762f, 0.468506f, 0.526367f, 0.471191f, 0.520020f, + 0.474609f, 0.511230f, 0.478516f, 0.499268f, 0.483643f, 0.484375f, 0.489990f, 0.466797f, + 0.495361f, 0.447266f, 0.502441f, 0.425537f, 0.515137f, 0.403564f, 0.526855f, 0.380859f, + 0.540039f, 0.358887f, 0.553711f, 0.336914f, 0.564453f, 0.315918f, 0.587891f, 0.295898f, + 0.600098f, 0.276611f, 0.610840f, 0.258545f, 0.624512f, 0.241211f, 0.641113f, 0.225098f, + 0.657715f, 0.209717f, 0.668457f, 0.195312f, 0.678223f, 0.181763f, 0.687988f, 0.169067f, + 0.701172f, 0.157104f, 0.707031f, 0.146118f, 0.715332f, 0.135620f, 0.723145f, 0.125977f, + 0.728516f, 0.117126f, 0.734375f, 0.108704f, 0.736328f, 0.100952f, 0.739746f, 0.093750f, + 0.741699f, 0.087036f, 0.742188f, 0.080872f, 0.741699f, 0.075134f, 0.741211f, 0.069763f, + 0.739258f, 0.064819f, 0.736816f, 0.060272f, 0.733398f, 0.056030f, 0.729004f, 0.052124f, + 0.724121f, 0.048492f, 0.718750f, 0.045105f, 0.712402f, 0.041992f, 0.705078f, 0.039093f, + 0.698242f, 0.036407f, 0.689941f, 0.033905f, 0.681641f, 0.031616f, 0.672852f, 0.029480f, + 0.663574f, 0.027512f, 0.653809f, 0.025665f, 0.644043f, 0.023956f, 0.633301f, 0.022369f, + 0.622559f, 0.020889f, 0.611816f, 0.019516f, 0.601074f, 0.018250f, 0.589355f, 0.017059f, + 0.578125f, 0.015961f, 0.565918f, 0.014946f, 0.554199f, 0.013992f, 0.542480f, 0.013107f, + 0.414551f, 0.584961f, 0.414551f, 0.584961f, 0.414795f, 0.584961f, 0.415039f, 0.583984f, + 0.416260f, 0.582031f, 0.418457f, 0.578613f, 0.420166f, 0.572754f, 0.424072f, 0.563965f, + 0.428467f, 0.552246f, 0.433838f, 0.537109f, 0.441162f, 0.518066f, 0.448730f, 0.497070f, + 0.458984f, 0.473633f, 0.467773f, 0.449219f, 0.480713f, 0.424072f, 0.497559f, 0.399414f, + 0.511719f, 0.375244f, 0.529297f, 0.352051f, 0.543945f, 0.329834f, 0.566895f, 0.308838f, + 0.581543f, 0.288574f, 0.598633f, 0.269531f, 0.619629f, 0.251465f, 0.635742f, 0.234497f, + 0.646973f, 0.218506f, 0.659668f, 0.203369f, 0.674805f, 0.189331f, 0.684570f, 0.176025f, + 0.695801f, 0.163696f, 0.707031f, 0.152222f, 0.718750f, 0.141357f, 0.723145f, 0.131348f, + 0.729004f, 0.122009f, 0.734375f, 0.113342f, 0.738281f, 0.105286f, 0.741211f, 0.097778f, + 0.743164f, 0.090820f, 0.744629f, 0.084412f, 0.744629f, 0.078430f, 0.743652f, 0.072876f, + 0.742676f, 0.067749f, 0.739746f, 0.062988f, 0.735840f, 0.058624f, 0.731934f, 0.054535f, + 0.727539f, 0.050751f, 0.721680f, 0.047241f, 0.715820f, 0.044006f, 0.709473f, 0.040985f, + 0.702148f, 0.038208f, 0.694824f, 0.035614f, 0.686523f, 0.033234f, 0.677734f, 0.031006f, + 0.668457f, 0.028946f, 0.659180f, 0.027023f, 0.649414f, 0.025238f, 0.639160f, 0.023590f, + 0.628906f, 0.022049f, 0.618164f, 0.020630f, 0.606934f, 0.019287f, 0.595703f, 0.018051f, + 0.584473f, 0.016907f, 0.572754f, 0.015839f, 0.561035f, 0.014839f, 0.549316f, 0.013908f, + 0.361816f, 0.637695f, 0.361816f, 0.637695f, 0.362061f, 0.637207f, 0.362793f, 0.636230f, + 0.364258f, 0.633301f, 0.366455f, 0.628906f, 0.369873f, 0.621094f, 0.374512f, 0.609375f, + 0.378906f, 0.593750f, 0.387451f, 0.573730f, 0.396484f, 0.550293f, 0.407471f, 0.524414f, + 0.419189f, 0.497314f, 0.433594f, 0.469971f, 0.453613f, 0.442627f, 0.473633f, 0.416016f, + 0.488037f, 0.390381f, 0.509277f, 0.365967f, 0.528809f, 0.343262f, 0.549805f, 0.320801f, + 0.574707f, 0.299805f, 0.590332f, 0.280029f, 0.609375f, 0.261475f, 0.631836f, 0.243774f, + 0.641602f, 0.227173f, 0.659668f, 0.211426f, 0.671387f, 0.196777f, 0.685059f, 0.183105f, + 0.698730f, 0.170166f, 0.705078f, 0.158203f, 0.715820f, 0.146973f, 0.723145f, 0.136597f, + 0.730469f, 0.126831f, 0.737793f, 0.117920f, 0.740723f, 0.109558f, 0.741699f, 0.101807f, + 0.745117f, 0.094604f, 0.747559f, 0.087891f, 0.747070f, 0.081726f, 0.747070f, 0.075989f, + 0.744141f, 0.070679f, 0.742676f, 0.065796f, 0.739258f, 0.061218f, 0.735840f, 0.056976f, + 0.730957f, 0.053070f, 0.725586f, 0.049438f, 0.719727f, 0.046082f, 0.713867f, 0.042938f, + 0.706543f, 0.040070f, 0.699219f, 0.037384f, 0.690918f, 0.034882f, 0.682617f, 0.032562f, + 0.673828f, 0.030426f, 0.664551f, 0.028442f, 0.654785f, 0.026581f, 0.645020f, 0.024857f, + 0.634766f, 0.023254f, 0.624023f, 0.021774f, 0.613281f, 0.020386f, 0.602051f, 0.019089f, + 0.590820f, 0.017899f, 0.579590f, 0.016769f, 0.567871f, 0.015732f, 0.556641f, 0.014755f, + 0.305420f, 0.694336f, 0.305420f, 0.694336f, 0.305664f, 0.693848f, 0.306641f, 0.691895f, + 0.308105f, 0.687988f, 0.311279f, 0.681152f, 0.316162f, 0.669922f, 0.321777f, 0.654297f, + 0.330078f, 0.632812f, 0.344238f, 0.606934f, 0.353027f, 0.578125f, 0.367432f, 0.547852f, + 0.385498f, 0.517578f, 0.405273f, 0.487793f, 0.422852f, 0.458496f, 0.448730f, 0.431152f, + 0.473633f, 0.404541f, 0.493896f, 0.379639f, 0.519531f, 0.355469f, 0.539551f, 0.332520f, + 0.563477f, 0.310791f, 0.583008f, 0.290283f, 0.604004f, 0.270752f, 0.626953f, 0.252686f, + 0.642090f, 0.235352f, 0.657715f, 0.218994f, 0.672852f, 0.203857f, 0.686523f, 0.189575f, + 0.699219f, 0.176270f, 0.707031f, 0.163818f, 0.717285f, 0.152344f, 0.723633f, 0.141602f, + 0.730469f, 0.131592f, 0.739258f, 0.122375f, 0.741699f, 0.113708f, 0.745605f, 0.105713f, + 0.747559f, 0.098267f, 0.748047f, 0.091370f, 0.749023f, 0.085022f, 0.748535f, 0.079102f, + 0.747070f, 0.073608f, 0.746582f, 0.068542f, 0.742188f, 0.063843f, 0.739258f, 0.059448f, + 0.734375f, 0.055420f, 0.730469f, 0.051666f, 0.724609f, 0.048187f, 0.717773f, 0.044952f, + 0.710938f, 0.041962f, 0.704102f, 0.039154f, 0.695801f, 0.036591f, 0.687988f, 0.034180f, + 0.679199f, 0.031952f, 0.670410f, 0.029892f, 0.660645f, 0.027969f, 0.650879f, 0.026184f, + 0.640625f, 0.024521f, 0.630371f, 0.022964f, 0.619629f, 0.021515f, 0.608887f, 0.020172f, + 0.598145f, 0.018921f, 0.586914f, 0.017761f, 0.575195f, 0.016663f, 0.563965f, 0.015656f, + 0.244995f, 0.754395f, 0.245117f, 0.754395f, 0.245483f, 0.753418f, 0.246704f, 0.750977f, + 0.249634f, 0.745117f, 0.253662f, 0.734863f, 0.260010f, 0.717773f, 0.268555f, 0.694336f, + 0.277344f, 0.665527f, 0.292480f, 0.632812f, 0.309814f, 0.599121f, 0.331787f, 0.565918f, + 0.352539f, 0.533203f, 0.376465f, 0.501953f, 0.405518f, 0.472412f, 0.433838f, 0.444336f, + 0.456787f, 0.417236f, 0.488281f, 0.391357f, 0.510254f, 0.366211f, 0.540039f, 0.343018f, + 0.564941f, 0.320557f, 0.579590f, 0.299561f, 0.606445f, 0.279541f, 0.627441f, 0.260498f, + 0.638184f, 0.242676f, 0.666504f, 0.226074f, 0.670898f, 0.210327f, 0.687988f, 0.195801f, + 0.700684f, 0.182129f, 0.706055f, 0.169312f, 0.718262f, 0.157471f, 0.727539f, 0.146362f, + 0.735840f, 0.136108f, 0.738770f, 0.126587f, 0.743164f, 0.117737f, 0.746582f, 0.109497f, + 0.751953f, 0.101868f, 0.751953f, 0.094788f, 0.753906f, 0.088257f, 0.752930f, 0.082153f, + 0.750977f, 0.076538f, 0.749512f, 0.071289f, 0.745605f, 0.066406f, 0.742188f, 0.061951f, + 0.738281f, 0.057770f, 0.734375f, 0.053894f, 0.729004f, 0.050293f, 0.722656f, 0.046967f, + 0.715332f, 0.043854f, 0.708496f, 0.040985f, 0.701172f, 0.038330f, 0.693359f, 0.035828f, + 0.684570f, 0.033539f, 0.676270f, 0.031403f, 0.666992f, 0.029404f, 0.657227f, 0.027542f, + 0.646973f, 0.025818f, 0.636719f, 0.024200f, 0.626465f, 0.022705f, 0.615723f, 0.021301f, + 0.604980f, 0.020004f, 0.593750f, 0.018784f, 0.582520f, 0.017654f, 0.571289f, 0.016586f, + 0.180542f, 0.818848f, 0.180664f, 0.818848f, 0.181274f, 0.817383f, 0.183350f, 0.812988f, + 0.187134f, 0.802734f, 0.193237f, 0.784180f, 0.201416f, 0.757324f, 0.214355f, 0.723145f, + 0.231445f, 0.685547f, 0.248901f, 0.648438f, 0.272217f, 0.611816f, 0.302979f, 0.577148f, + 0.329834f, 0.544922f, 0.364258f, 0.514160f, 0.394043f, 0.484619f, 0.425781f, 0.456055f, + 0.456543f, 0.428467f, 0.481934f, 0.402344f, 0.512207f, 0.376709f, 0.540039f, 0.352783f, + 0.566406f, 0.329346f, 0.579102f, 0.307617f, 0.607910f, 0.286865f, 0.627930f, 0.267822f, + 0.645996f, 0.249512f, 0.661621f, 0.232178f, 0.677734f, 0.216309f, 0.691406f, 0.201172f, + 0.702637f, 0.187256f, 0.711426f, 0.174194f, 0.721680f, 0.161987f, 0.730957f, 0.150879f, + 0.736328f, 0.140259f, 0.742188f, 0.130493f, 0.746582f, 0.121582f, 0.750488f, 0.113159f, + 0.751953f, 0.105347f, 0.752930f, 0.098083f, 0.756836f, 0.091370f, 0.755859f, 0.085144f, + 0.755371f, 0.079346f, 0.752441f, 0.073975f, 0.750488f, 0.069031f, 0.746582f, 0.064392f, + 0.743652f, 0.060120f, 0.737793f, 0.056152f, 0.733398f, 0.052460f, 0.727051f, 0.049011f, + 0.720215f, 0.045837f, 0.713867f, 0.042847f, 0.706543f, 0.040100f, 0.699219f, 0.037537f, + 0.690430f, 0.035156f, 0.682129f, 0.032928f, 0.672852f, 0.030884f, 0.663086f, 0.028961f, + 0.653809f, 0.027161f, 0.644043f, 0.025497f, 0.633301f, 0.023941f, 0.622559f, 0.022491f, + 0.612305f, 0.021133f, 0.601074f, 0.019867f, 0.590332f, 0.018692f, 0.579102f, 0.017578f, + 0.111816f, 0.888184f, 0.112000f, 0.887207f, 0.112976f, 0.883789f, 0.115845f, 0.873047f, + 0.122864f, 0.849609f, 0.133301f, 0.813477f, 0.147217f, 0.770996f, 0.167236f, 0.728027f, + 0.196411f, 0.688965f, 0.222290f, 0.653320f, 0.258057f, 0.619629f, 0.293457f, 0.587402f, + 0.328613f, 0.556152f, 0.361328f, 0.524902f, 0.392578f, 0.495850f, 0.430420f, 0.466064f, + 0.459961f, 0.437744f, 0.482422f, 0.410889f, 0.511230f, 0.385010f, 0.536621f, 0.359863f, + 0.568848f, 0.336182f, 0.592773f, 0.313721f, 0.614258f, 0.293213f, 0.626953f, 0.273193f, + 0.646484f, 0.254639f, 0.657227f, 0.237427f, 0.683105f, 0.221191f, 0.693359f, 0.205933f, + 0.698242f, 0.191772f, 0.709473f, 0.178589f, 0.724609f, 0.166260f, 0.733398f, 0.154907f, + 0.739746f, 0.144165f, 0.745605f, 0.134399f, 0.750977f, 0.125122f, 0.753906f, 0.116577f, + 0.754883f, 0.108704f, 0.758301f, 0.101257f, 0.759766f, 0.094482f, 0.757812f, 0.088074f, + 0.759766f, 0.082092f, 0.758301f, 0.076660f, 0.756348f, 0.071594f, 0.752441f, 0.066833f, + 0.748047f, 0.062469f, 0.741699f, 0.058380f, 0.736816f, 0.054596f, 0.732910f, 0.051086f, + 0.726074f, 0.047791f, 0.719727f, 0.044769f, 0.711914f, 0.041901f, 0.704590f, 0.039276f, + 0.696289f, 0.036804f, 0.688477f, 0.034546f, 0.678711f, 0.032410f, 0.669922f, 0.030411f, + 0.660156f, 0.028564f, 0.650391f, 0.026840f, 0.640625f, 0.025223f, 0.630371f, 0.023727f, + 0.619629f, 0.022324f, 0.608887f, 0.020996f, 0.597656f, 0.019775f, 0.586914f, 0.018631f, + 0.038452f, 0.960938f, 0.039124f, 0.957520f, 0.042480f, 0.933594f, 0.051575f, 0.879395f, + 0.069275f, 0.824219f, 0.091064f, 0.785156f, 0.126343f, 0.753906f, 0.154419f, 0.725586f, + 0.192139f, 0.695312f, 0.234375f, 0.663086f, 0.273438f, 0.630371f, 0.305908f, 0.597656f, + 0.338379f, 0.565430f, 0.379150f, 0.532227f, 0.413818f, 0.501465f, 0.444336f, 0.471191f, + 0.471436f, 0.442383f, 0.504395f, 0.414795f, 0.531250f, 0.388672f, 0.547363f, 0.364014f, + 0.579590f, 0.340088f, 0.603516f, 0.317627f, 0.622559f, 0.297119f, 0.635742f, 0.276855f, + 0.669434f, 0.258301f, 0.670410f, 0.241089f, 0.685547f, 0.224854f, 0.699219f, 0.209717f, + 0.712402f, 0.195190f, 0.720703f, 0.182373f, 0.729980f, 0.169678f, 0.746582f, 0.158325f, + 0.744629f, 0.147705f, 0.748535f, 0.137695f, 0.760254f, 0.128296f, 0.757812f, 0.119629f, + 0.761230f, 0.111755f, 0.762207f, 0.104248f, 0.764160f, 0.097290f, 0.763184f, 0.090881f, + 0.762207f, 0.084900f, 0.760742f, 0.079285f, 0.759766f, 0.074097f, 0.755859f, 0.069275f, + 0.752930f, 0.064758f, 0.747559f, 0.060669f, 0.742676f, 0.056793f, 0.737305f, 0.053131f, + 0.731445f, 0.049774f, 0.725586f, 0.046661f, 0.718262f, 0.043732f, 0.710449f, 0.041077f, + 0.702637f, 0.038544f, 0.694336f, 0.036163f, 0.685547f, 0.033966f, 0.676758f, 0.031921f, + 0.667480f, 0.030014f, 0.657715f, 0.028229f, 0.647461f, 0.026566f, 0.637207f, 0.025009f, + 0.626953f, 0.023544f, 0.616699f, 0.022186f, 0.605957f, 0.020920f, 0.594727f, 0.019730f, }; static float ltc_disk_integral[64 * 64] = { - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.015873f, 0.047619f, 0.079365f, 0.111111f, 0.142857f, 0.174603f, 0.206349f, 0.238095f, - 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000148f, 0.002454f, 0.008675f, 0.019560f, - 0.035433f, 0.056294f, 0.081819f, 0.111259f, 0.142857f, 0.174603f, 0.206349f, 0.238095f, - 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000002f, 0.000761f, 0.003673f, 0.009403f, 0.018333f, 0.030683f, - 0.046556f, 0.065952f, 0.088768f, 0.114784f, 0.143618f, 0.174606f, 0.206349f, 0.238095f, - 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000039f, 0.000969f, 0.003703f, 0.008684f, 0.016189f, 0.026395f, 0.039409f, - 0.055282f, 0.074014f, 0.095554f, 0.119795f, 0.146560f, 0.175573f, 0.206388f, 0.238095f, - 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000047f, 0.000895f, 0.003265f, 0.007514f, 0.013873f, 0.022495f, 0.033483f, 0.046897f, - 0.062770f, 0.081102f, 0.101860f, 0.124985f, 0.150372f, 0.177868f, 0.207245f, 0.238143f, - 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000028f, - 0.000695f, 0.002655f, 0.006230f, 0.011623f, 0.018976f, 0.028384f, 0.039915f, 0.053606f, - 0.069479f, 0.087534f, 0.107749f, 0.130087f, 0.154481f, 0.180833f, 0.209005f, 0.238791f, - 0.269869f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000465f, - 0.002017f, 0.004975f, 0.009533f, 0.015821f, 0.023934f, 0.033937f, 0.045874f, 0.059772f, - 0.075645f, 0.093493f, 0.113302f, 0.135045f, 0.158678f, 0.184136f, 0.211325f, 0.240113f, - 0.270306f, 0.301594f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.001426f, - 0.003823f, 0.007642f, 0.013012f, 0.020025f, 0.028745f, 0.039218f, 0.051475f, 0.065535f, - 0.081408f, 0.099094f, 0.118583f, 0.139856f, 0.162882f, 0.187615f, 0.213991f, 0.241918f, - 0.271267f, 0.301847f, 0.333333f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000109f, 0.000921f, 0.002807f, - 0.005966f, 0.010528f, 0.016585f, 0.024200f, 0.033420f, 0.044278f, 0.056796f, 0.070988f, - 0.086861f, 0.104415f, 0.123643f, 0.144531f, 0.167057f, 0.191188f, 0.216878f, 0.244062f, - 0.272649f, 0.302509f, 0.333442f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000024f, 0.000524f, 0.001947f, 0.004511f, - 0.008351f, 0.013561f, 0.020206f, 0.028332f, 0.037974f, 0.049155f, 0.061892f, 0.076194f, - 0.092067f, 0.109511f, 0.128520f, 0.149085f, 0.171189f, 0.194809f, 0.219910f, 0.246447f, - 0.274352f, 0.303535f, 0.333857f, 0.365104f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000242f, 0.001250f, 0.003275f, 0.006463f, - 0.010913f, 0.016693f, 0.023849f, 0.032418f, 0.042423f, 0.053881f, 0.066805f, 0.081201f, - 0.097074f, 0.114424f, 0.133246f, 0.153534f, 0.175275f, 0.198453f, 0.223042f, 0.249009f, - 0.276304f, 0.304862f, 0.334584f, 0.365322f, 0.396826f, 0.428571f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000074f, 0.000716f, 0.002252f, 0.004848f, 0.008610f, - 0.013608f, 0.019894f, 0.027502f, 0.036458f, 0.046780f, 0.058480f, 0.071567f, 0.086045f, - 0.101918f, 0.119186f, 0.137845f, 0.157891f, 0.179316f, 0.202106f, 0.226243f, 0.251704f, - 0.278451f, 0.306436f, 0.335586f, 0.365796f, 0.396900f, 0.428571f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000006f, 0.000342f, 0.001437f, 0.003492f, 0.006624f, 0.010911f, - 0.016406f, 0.023146f, 0.031157f, 0.040457f, 0.051059f, 0.062972f, 0.076203f, 0.090753f, - 0.106626f, 0.123822f, 0.142337f, 0.162170f, 0.183314f, 0.205760f, 0.229496f, 0.254502f, - 0.280753f, 0.308212f, 0.336825f, 0.366517f, 0.397167f, 0.428578f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000114f, 0.000820f, 0.002381f, 0.004935f, 0.008569f, 0.013339f, - 0.019286f, 0.026437f, 0.034810f, 0.044418f, 0.055271f, 0.067375f, 0.080733f, 0.095348f, - 0.111221f, 0.128352f, 0.146740f, 0.166382f, 0.187276f, 0.209413f, 0.232786f, 0.257382f, - 0.283181f, 0.310156f, 0.338269f, 0.367461f, 0.397646f, 0.428685f, 0.460318f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000014f, 0.000390f, 0.001503f, 0.003525f, 0.006554f, 0.010655f, 0.015872f, - 0.022233f, 0.029758f, 0.038460f, 0.048347f, 0.059427f, 0.071702f, 0.085175f, 0.099848f, - 0.115721f, 0.132794f, 0.151067f, 0.170538f, 0.191204f, 0.213063f, 0.236107f, 0.260329f, - 0.285714f, 0.312243f, 0.339887f, 0.368604f, 0.398329f, 0.428961f, 0.460331f, 0.492064f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000130f, 0.000845f, 0.002376f, 0.004845f, 0.008325f, 0.012864f, 0.018495f, - 0.025237f, 0.033105f, 0.042107f, 0.052249f, 0.063534f, 0.075965f, 0.089543f, 0.104269f, - 0.120142f, 0.137163f, 0.155330f, 0.174645f, 0.195106f, 0.216710f, 0.239454f, 0.263332f, - 0.288336f, 0.314451f, 0.341658f, 0.369924f, 0.399202f, 0.429416f, 0.460447f, 0.492064f, - 0.523809f, 0.555555f, 0.587301f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000016f, 0.000391f, 0.001475f, 0.003423f, 0.006322f, 0.010230f, 0.015179f, 0.021195f, - 0.028290f, 0.036474f, 0.045752f, 0.056128f, 0.067602f, 0.080176f, 0.093850f, 0.108623f, - 0.124496f, 0.141469f, 0.159541f, 0.178713f, 0.198985f, 0.220355f, 0.242823f, 0.266385f, - 0.291036f, 0.316767f, 0.343563f, 0.371402f, 0.400248f, 0.430047f, 0.460709f, 0.492079f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000123f, 0.000807f, 0.002272f, 0.004628f, 0.007942f, 0.012253f, 0.017589f, 0.023963f, - 0.031387f, 0.039864f, 0.049398f, 0.059990f, 0.071638f, 0.084344f, 0.098106f, 0.112923f, - 0.128796f, 0.145725f, 0.163709f, 0.182749f, 0.202847f, 0.224001f, 0.246214f, 0.269482f, - 0.293805f, 0.319176f, 0.345587f, 0.373021f, 0.401454f, 0.430844f, 0.461125f, 0.492187f, - 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, - 0.000356f, 0.001378f, 0.003225f, 0.005979f, 0.009689f, 0.014384f, 0.020083f, 0.026795f, - 0.034525f, 0.043276f, 0.053047f, 0.063839f, 0.075649f, 0.088476f, 0.102320f, 0.117178f, - 0.133051f, 0.149939f, 0.167841f, 0.186760f, 0.206696f, 0.227650f, 0.249625f, 0.272620f, - 0.296636f, 0.321671f, 0.347718f, 0.374768f, 0.402804f, 0.431796f, 0.461695f, 0.492420f, - 0.523822f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000100f, - 0.000725f, 0.002097f, 0.004323f, 0.007463f, 0.011553f, 0.016613f, 0.022655f, 0.029684f, - 0.037702f, 0.046708f, 0.056701f, 0.067680f, 0.079640f, 0.092581f, 0.106501f, 0.121397f, - 0.137270f, 0.154120f, 0.171946f, 0.190751f, 0.210537f, 0.231305f, 0.253057f, 0.275797f, - 0.299525f, 0.324242f, 0.349947f, 0.376633f, 0.404289f, 0.432895f, 0.462415f, 0.492788f, - 0.523909f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000005f, 0.000296f, - 0.001231f, 0.002960f, 0.005558f, 0.009072f, 0.013526f, 0.018933f, 0.025299f, 0.032627f, - 0.040916f, 0.050162f, 0.060364f, 0.071517f, 0.083619f, 0.096666f, 0.110656f, 0.125588f, - 0.141461f, 0.158275f, 0.176031f, 0.194730f, 0.214374f, 0.234967f, 0.256512f, 0.279011f, - 0.302468f, 0.326887f, 0.352266f, 0.378605f, 0.405897f, 0.434130f, 0.463277f, 0.493295f, - 0.524106f, 0.555561f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000068f, 0.000613f, - 0.001874f, 0.003958f, 0.006921f, 0.010796f, 0.015599f, 0.021336f, 0.028011f, 0.035623f, - 0.044167f, 0.053640f, 0.064038f, 0.075355f, 0.087589f, 0.100736f, 0.114793f, 0.129759f, - 0.145632f, 0.162412f, 0.180101f, 0.198700f, 0.218213f, 0.238641f, 0.259989f, 0.282262f, - 0.305464f, 0.329599f, 0.354670f, 0.380678f, 0.407622f, 0.435493f, 0.464275f, 0.493938f, - 0.524422f, 0.555624f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000223f, 0.001054f, - 0.002649f, 0.005086f, 0.008406f, 0.012629f, 0.017766f, 0.023820f, 0.030789f, 0.038669f, - 0.047455f, 0.057143f, 0.067726f, 0.079199f, 0.091558f, 0.104798f, 0.118918f, 0.133915f, - 0.149788f, 0.166537f, 0.184164f, 0.202669f, 0.222056f, 0.242329f, 0.263492f, 0.285551f, - 0.308510f, 0.332376f, 0.357153f, 0.382845f, 0.409454f, 0.436977f, 0.465404f, 0.494713f, - 0.524864f, 0.555779f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, 0.000486f, 0.001621f, - 0.003553f, 0.006338f, 0.010004f, 0.014565f, 0.020024f, 0.026380f, 0.033629f, 0.041765f, - 0.050782f, 0.060673f, 0.071431f, 0.083052f, 0.095529f, 0.108859f, 0.123038f, 0.138065f, - 0.153938f, 0.170657f, 0.188224f, 0.206640f, 0.225909f, 0.246035f, 0.267022f, 0.288878f, - 0.311607f, 0.335216f, 0.359713f, 0.385103f, 0.411390f, 0.438576f, 0.466656f, 0.495617f, - 0.525431f, 0.556041f, 0.587338f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000149f, 0.000861f, 0.002312f, - 0.004581f, 0.007709f, 0.011713f, 0.016599f, 0.022367f, 0.029014f, 0.036531f, 0.044912f, - 0.054148f, 0.064233f, 0.075158f, 0.086918f, 0.099507f, 0.112922f, 0.127157f, 0.142212f, - 0.158085f, 0.174776f, 0.192287f, 0.210619f, 0.229775f, 0.249761f, 0.270582f, 0.292243f, - 0.314753f, 0.338118f, 0.362347f, 0.387447f, 0.413424f, 0.440284f, 0.468027f, 0.496645f, - 0.526122f, 0.556417f, 0.587451f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, 0.000355f, 0.001353f, 0.003126f, - 0.005730f, 0.009194f, 0.013526f, 0.018728f, 0.024795f, 0.031720f, 0.039494f, 0.048109f, - 0.057555f, 0.067824f, 0.078909f, 0.090802f, 0.103499f, 0.116993f, 0.131282f, 0.146364f, - 0.162237f, 0.178902f, 0.196358f, 0.214610f, 0.233660f, 0.253512f, 0.274174f, 0.295650f, - 0.317950f, 0.341081f, 0.365053f, 0.389874f, 0.415553f, 0.442098f, 0.469512f, 0.497794f, - 0.526935f, 0.556908f, 0.587657f, 0.619060f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000083f, 0.000665f, 0.001962f, 0.004059f, - 0.006997f, 0.010790f, 0.015442f, 0.020949f, 0.027304f, 0.034497f, 0.042518f, 0.051358f, - 0.061005f, 0.071451f, 0.082688f, 0.094709f, 0.107507f, 0.121078f, 0.135419f, 0.150526f, - 0.166399f, 0.183038f, 0.200443f, 0.218618f, 0.237566f, 0.257291f, 0.277800f, 0.299100f, - 0.321199f, 0.344106f, 0.367830f, 0.392383f, 0.417774f, 0.444013f, 0.471107f, 0.499060f, - 0.527869f, 0.557517f, 0.587966f, 0.619130f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000233f, 0.001082f, 0.002688f, 0.005111f, - 0.008377f, 0.012493f, 0.017456f, 0.023260f, 0.029893f, 0.037345f, 0.045604f, 0.054659f, - 0.064499f, 0.075115f, 0.086498f, 0.098641f, 0.111537f, 0.125182f, 0.139571f, 0.154703f, - 0.170576f, 0.187190f, 0.204547f, 0.222648f, 0.241498f, 0.261101f, 0.281465f, 0.302595f, - 0.324501f, 0.347192f, 0.370679f, 0.394973f, 0.420085f, 0.446027f, 0.472810f, 0.500441f, - 0.528921f, 0.558244f, 0.588384f, 0.619281f, 0.650795f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000033f, 0.000477f, 0.001611f, 0.003532f, 0.006280f, - 0.009869f, 0.014301f, 0.019568f, 0.025659f, 0.032563f, 0.040265f, 0.048753f, 0.058016f, - 0.068042f, 0.078821f, 0.090344f, 0.102604f, 0.115594f, 0.129309f, 0.143745f, 0.158901f, - 0.174774f, 0.191365f, 0.208674f, 0.226705f, 0.245461f, 0.264947f, 0.285170f, 0.306137f, - 0.327857f, 0.350341f, 0.373598f, 0.397642f, 0.422485f, 0.448139f, 0.474619f, 0.501933f, - 0.530089f, 0.559087f, 0.588913f, 0.619525f, 0.650826f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000130f, 0.000821f, 0.002252f, 0.004491f, 0.007562f, - 0.011472f, 0.016213f, 0.021776f, 0.028147f, 0.035312f, 0.043256f, 0.051966f, 0.061430f, - 0.071635f, 0.082571f, 0.094229f, 0.106602f, 0.119682f, 0.133465f, 0.147947f, 0.163125f, - 0.178998f, 0.195566f, 0.212830f, 0.230793f, 0.249459f, 0.268832f, 0.288920f, 0.309730f, - 0.331271f, 0.353554f, 0.376590f, 0.400391f, 0.424973f, 0.450347f, 0.476531f, 0.503535f, - 0.531372f, 0.560047f, 0.589554f, 0.619869f, 0.650923f, 0.682540f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000005f, 0.000309f, 0.001270f, 0.003008f, 0.005566f, 0.008959f, - 0.013183f, 0.018228f, 0.024080f, 0.030723f, 0.038142f, 0.046321f, 0.055246f, 0.064903f, - 0.075281f, 0.086369f, 0.098158f, 0.110639f, 0.123806f, 0.137655f, 0.152180f, 0.167380f, - 0.183253f, 0.199799f, 0.217020f, 0.234918f, 0.253496f, 0.272761f, 0.292719f, 0.313377f, - 0.334745f, 0.356833f, 0.379654f, 0.403221f, 0.427548f, 0.452651f, 0.478545f, 0.505246f, - 0.532768f, 0.561122f, 0.590309f, 0.620318f, 0.651102f, 0.682545f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000053f, 0.000579f, 0.001828f, 0.003878f, 0.006757f, 0.010468f, - 0.015002f, 0.020344f, 0.026479f, 0.033388f, 0.041054f, 0.049461f, 0.058594f, 0.068440f, - 0.078985f, 0.090220f, 0.102134f, 0.114721f, 0.127972f, 0.141884f, 0.156451f, 0.171672f, - 0.187545f, 0.204070f, 0.221249f, 0.239083f, 0.257578f, 0.276738f, 0.296569f, 0.317080f, - 0.338281f, 0.360181f, 0.382794f, 0.406133f, 0.430213f, 0.455050f, 0.480662f, 0.507065f, - 0.534278f, 0.562313f, 0.591180f, 0.620875f, 0.651373f, 0.682593f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000169f, 0.000949f, 0.002497f, 0.004864f, 0.008063f, 0.012089f, - 0.016929f, 0.022563f, 0.028974f, 0.036142f, 0.044049f, 0.052678f, 0.062014f, 0.072042f, - 0.082750f, 0.094127f, 0.106164f, 0.118852f, 0.132185f, 0.146157f, 0.160766f, 0.176007f, - 0.191880f, 0.208385f, 0.225523f, 0.243296f, 0.261709f, 0.280767f, 0.300476f, 0.320845f, - 0.341883f, 0.363601f, 0.386011f, 0.409128f, 0.432967f, 0.457545f, 0.482881f, 0.508992f, - 0.535899f, 0.563619f, 0.592165f, 0.621544f, 0.651743f, 0.682709f, 0.714286f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000010f, 0.000368f, 0.001423f, 0.003279f, 0.005966f, 0.009485f, 0.013824f, - 0.018964f, 0.024886f, 0.031567f, 0.038988f, 0.047130f, 0.055975f, 0.065508f, 0.075714f, - 0.086580f, 0.098095f, 0.110251f, 0.123038f, 0.136450f, 0.150482f, 0.165129f, 0.180390f, - 0.196263f, 0.212748f, 0.229847f, 0.247561f, 0.265895f, 0.284854f, 0.304445f, 0.324675f, - 0.345555f, 0.367095f, 0.389309f, 0.412210f, 0.435814f, 0.460138f, 0.485203f, 0.511028f, - 0.537634f, 0.565041f, 0.593268f, 0.622327f, 0.652217f, 0.682907f, 0.714296f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000068f, 0.000658f, 0.002006f, 0.004178f, 0.007186f, 0.011024f, 0.015672f, - 0.021109f, 0.027312f, 0.034259f, 0.041928f, 0.050300f, 0.059356f, 0.069081f, 0.079460f, - 0.090480f, 0.102130f, 0.114400f, 0.127284f, 0.140772f, 0.154862f, 0.169548f, 0.184828f, - 0.200701f, 0.217167f, 0.234227f, 0.251884f, 0.270141f, 0.289004f, 0.308479f, 0.328575f, - 0.349301f, 0.370668f, 0.392689f, 0.415379f, 0.438754f, 0.462830f, 0.487630f, 0.513173f, - 0.539482f, 0.566579f, 0.594488f, 0.623226f, 0.652800f, 0.683198f, 0.714354f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000196f, 0.001048f, 0.002702f, 0.005194f, 0.008526f, 0.012680f, 0.017635f, - 0.023365f, 0.029846f, 0.037053f, 0.044965f, 0.053561f, 0.062824f, 0.072737f, 0.083284f, - 0.094454f, 0.106236f, 0.118619f, 0.131595f, 0.145159f, 0.159305f, 0.174028f, 0.189327f, - 0.205200f, 0.221647f, 0.238670f, 0.256270f, 0.274453f, 0.293222f, 0.312585f, 0.332550f, - 0.353126f, 0.374324f, 0.396158f, 0.418641f, 0.441790f, 0.465624f, 0.490163f, 0.515429f, - 0.541445f, 0.568236f, 0.595828f, 0.624242f, 0.653496f, 0.683588f, 0.714482f, 0.746032f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000012f, 0.000407f, 0.001545f, 0.003514f, 0.006332f, 0.009987f, 0.014457f, 0.019715f, - 0.025734f, 0.032488f, 0.039952f, 0.048102f, 0.056919f, 0.066384f, 0.076480f, 0.087193f, - 0.098509f, 0.110419f, 0.122912f, 0.135980f, 0.149617f, 0.163817f, 0.178577f, 0.193894f, - 0.209767f, 0.226196f, 0.243182f, 0.260728f, 0.278837f, 0.297515f, 0.316768f, 0.336605f, - 0.357034f, 0.378067f, 0.399717f, 0.421998f, 0.444928f, 0.468523f, 0.492806f, 0.517798f, - 0.543525f, 0.570012f, 0.597288f, 0.625379f, 0.654307f, 0.684084f, 0.714693f, 0.746044f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000074f, 0.000713f, 0.002152f, 0.004446f, 0.007592f, 0.011571f, 0.016356f, 0.021915f, - 0.028220f, 0.035243f, 0.042959f, 0.051344f, 0.060377f, 0.070040f, 0.080316f, 0.091191f, - 0.102651f, 0.114686f, 0.127286f, 0.140443f, 0.154151f, 0.168405f, 0.183201f, 0.198536f, - 0.214409f, 0.230820f, 0.247770f, 0.265263f, 0.283301f, 0.301889f, 0.321035f, 0.340746f, - 0.361032f, 0.381904f, 0.403374f, 0.425457f, 0.448169f, 0.471530f, 0.495561f, 0.520284f, - 0.545725f, 0.571911f, 0.598873f, 0.626640f, 0.655239f, 0.684692f, 0.714999f, 0.746106f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000208f, 0.001121f, 0.002877f, 0.005501f, 0.008979f, 0.013283f, 0.018380f, 0.024238f, - 0.030826f, 0.038115f, 0.046079f, 0.054695f, 0.063941f, 0.073799f, 0.084252f, 0.095285f, - 0.106886f, 0.119044f, 0.131749f, 0.144994f, 0.158772f, 0.173078f, 0.187908f, 0.203261f, - 0.219134f, 0.235527f, 0.252443f, 0.269883f, 0.287851f, 0.306352f, 0.325393f, 0.344981f, - 0.365126f, 0.385839f, 0.407132f, 0.429020f, 0.451520f, 0.474651f, 0.498433f, 0.522890f, - 0.548048f, 0.573936f, 0.600584f, 0.628027f, 0.656295f, 0.685417f, 0.715406f, 0.746240f, - 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000011f, - 0.000427f, 0.001638f, 0.003724f, 0.006685f, 0.010497f, 0.015125f, 0.020534f, 0.026688f, - 0.033557f, 0.041109f, 0.049318f, 0.058161f, 0.067617f, 0.077666f, 0.088293f, 0.099482f, - 0.111221f, 0.123499f, 0.136308f, 0.149639f, 0.163485f, 0.177843f, 0.192707f, 0.208077f, - 0.223950f, 0.240326f, 0.257208f, 0.274596f, 0.292496f, 0.310911f, 0.329849f, 0.349316f, - 0.369323f, 0.389880f, 0.410999f, 0.432696f, 0.454987f, 0.477890f, 0.501426f, 0.525620f, - 0.550498f, 0.576089f, 0.602427f, 0.629544f, 0.657479f, 0.686264f, 0.715924f, 0.746459f, - 0.777789f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000071f, - 0.000744f, 0.002274f, 0.004698f, 0.008002f, 0.012149f, 0.017102f, 0.022822f, 0.029271f, - 0.036417f, 0.044229f, 0.052681f, 0.061749f, 0.071411f, 0.081649f, 0.092447f, 0.103790f, - 0.115665f, 0.128062f, 0.140972f, 0.154387f, 0.168301f, 0.182709f, 0.197608f, 0.212994f, - 0.228867f, 0.245227f, 0.262074f, 0.279412f, 0.297244f, 0.315575f, 0.334412f, 0.353760f, - 0.373631f, 0.394034f, 0.414983f, 0.436491f, 0.458575f, 0.481253f, 0.504547f, 0.528481f, - 0.553081f, 0.578377f, 0.604404f, 0.631197f, 0.658795f, 0.687238f, 0.716559f, 0.746776f, - 0.777849f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000205f, - 0.001168f, 0.003033f, 0.005806f, 0.009456f, 0.013942f, 0.019220f, 0.025250f, 0.031992f, - 0.039414f, 0.047484f, 0.056176f, 0.065466f, 0.075333f, 0.085757f, 0.096724f, 0.108218f, - 0.120227f, 0.132741f, 0.145751f, 0.159249f, 0.173230f, 0.187687f, 0.202619f, 0.218021f, - 0.233894f, 0.250238f, 0.267052f, 0.284341f, 0.302106f, 0.320354f, 0.339090f, 0.358322f, - 0.378059f, 0.398311f, 0.419090f, 0.440412f, 0.462292f, 0.484748f, 0.507802f, 0.531477f, - 0.555802f, 0.580805f, 0.606522f, 0.632990f, 0.660250f, 0.688346f, 0.717319f, 0.747200f, - 0.777982f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000427f, - 0.001710f, 0.003925f, 0.007054f, 0.011055f, 0.015881f, 0.021485f, 0.027824f, 0.034859f, - 0.042554f, 0.050881f, 0.059811f, 0.069321f, 0.079390f, 0.089998f, 0.101132f, 0.112775f, - 0.124917f, 0.137547f, 0.150655f, 0.164236f, 0.178281f, 0.192788f, 0.207752f, 0.223171f, - 0.239044f, 0.255371f, 0.272153f, 0.289393f, 0.307093f, 0.325259f, 0.343896f, 0.363012f, - 0.382617f, 0.402719f, 0.423332f, 0.444469f, 0.466146f, 0.488383f, 0.511199f, 0.534618f, - 0.558668f, 0.583380f, 0.608787f, 0.634929f, 0.661849f, 0.689594f, 0.718211f, 0.747742f, - 0.778205f, 0.809530f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000059f, 0.000754f, - 0.002379f, 0.004956f, 0.008449f, 0.012806f, 0.017974f, 0.023905f, 0.030553f, 0.037879f, - 0.045847f, 0.054429f, 0.063595f, 0.073323f, 0.083592f, 0.094384f, 0.105682f, 0.117474f, - 0.129747f, 0.142491f, 0.155697f, 0.169358f, 0.183469f, 0.198024f, 0.213020f, 0.228455f, - 0.244329f, 0.260639f, 0.277389f, 0.294580f, 0.312216f, 0.330300f, 0.348840f, 0.367842f, - 0.387315f, 0.407270f, 0.427717f, 0.448671f, 0.470149f, 0.492167f, 0.514746f, 0.537911f, - 0.561688f, 0.586108f, 0.611206f, 0.637022f, 0.663599f, 0.690989f, 0.719242f, 0.748411f, - 0.778531f, 0.809583f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000187f, 0.001196f, - 0.003184f, 0.006136f, 0.010000f, 0.014716f, 0.020230f, 0.026488f, 0.033445f, 0.041062f, - 0.049303f, 0.058138f, 0.067540f, 0.077485f, 0.087953f, 0.098926f, 0.110388f, 0.122327f, - 0.134729f, 0.147587f, 0.160889f, 0.174631f, 0.188806f, 0.203409f, 0.218437f, 0.233888f, - 0.249761f, 0.266056f, 0.282774f, 0.299917f, 0.317488f, 0.335493f, 0.353936f, 0.372825f, - 0.392168f, 0.411976f, 0.432259f, 0.453032f, 0.474310f, 0.496111f, 0.518456f, 0.541367f, - 0.564872f, 0.589001f, 0.613789f, 0.639277f, 0.665510f, 0.692539f, 0.720422f, 0.749216f, - 0.778974f, 0.809711f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000409f, 0.001767f, - 0.004137f, 0.007474f, 0.011716f, 0.016797f, 0.022657f, 0.029244f, 0.036512f, 0.044420f, - 0.052933f, 0.062021f, 0.071657f, 0.081819f, 0.092485f, 0.103638f, 0.115263f, 0.127348f, - 0.139880f, 0.152849f, 0.166248f, 0.180070f, 0.194308f, 0.208958f, 0.224018f, 0.239485f, - 0.255359f, 0.271638f, 0.288324f, 0.305419f, 0.322927f, 0.340851f, 0.359199f, 0.377975f, - 0.397189f, 0.416851f, 0.436971f, 0.457564f, 0.478644f, 0.500229f, 0.522339f, 0.544997f, - 0.568230f, 0.592068f, 0.616546f, 0.641705f, 0.667590f, 0.694255f, 0.721760f, 0.750168f, - 0.779545f, 0.809933f, 0.841272f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000041f, 0.000744f, 0.002481f, - 0.005248f, 0.008982f, 0.013608f, 0.019058f, 0.025269f, 0.032188f, 0.039767f, 0.047967f, - 0.056752f, 0.066093f, 0.075963f, 0.086340f, 0.097203f, 0.108537f, 0.120325f, 0.132554f, - 0.145215f, 0.158296f, 0.171790f, 0.185691f, 0.199993f, 0.214691f, 0.229782f, 0.245265f, - 0.261138f, 0.277401f, 0.294056f, 0.311104f, 0.328548f, 0.346394f, 0.364645f, 0.383310f, - 0.402396f, 0.421912f, 0.441870f, 0.462283f, 0.483165f, 0.504535f, 0.526410f, 0.548816f, - 0.571776f, 0.595323f, 0.619489f, 0.644317f, 0.669852f, 0.696148f, 0.723267f, 0.751280f, - 0.780258f, 0.810268f, 0.841311f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000156f, 0.001209f, 0.003349f, - 0.006531f, 0.010672f, 0.015691f, 0.021515f, 0.028080f, 0.035332f, 0.043225f, 0.051717f, - 0.060775f, 0.070370f, 0.080474f, 0.091067f, 0.102128f, 0.113641f, 0.125591f, 0.137965f, - 0.150754f, 0.163947f, 0.177537f, 0.191516f, 0.205881f, 0.220626f, 0.235749f, 0.251248f, - 0.267121f, 0.283368f, 0.299992f, 0.316992f, 0.334374f, 0.352140f, 0.370296f, 0.388849f, - 0.407807f, 0.427178f, 0.446974f, 0.467207f, 0.487892f, 0.509046f, 0.530687f, 0.552839f, - 0.575527f, 0.598780f, 0.622634f, 0.647128f, 0.672308f, 0.698231f, 0.724958f, 0.752563f, - 0.781127f, 0.810733f, 0.841426f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000374f, 0.001821f, 0.004389f, - 0.008001f, 0.012559f, 0.017979f, 0.024182f, 0.031106f, 0.038695f, 0.046903f, 0.055690f, - 0.065023f, 0.074872f, 0.085211f, 0.096020f, 0.107279f, 0.118971f, 0.131084f, 0.143604f, - 0.156521f, 0.169825f, 0.183510f, 0.197569f, 0.211997f, 0.226789f, 0.241944f, 0.257458f, - 0.273331f, 0.289563f, 0.306154f, 0.323108f, 0.340426f, 0.358113f, 0.376175f, 0.394616f, - 0.413445f, 0.432671f, 0.452305f, 0.472358f, 0.492845f, 0.513783f, 0.535189f, 0.557087f, - 0.579500f, 0.602459f, 0.625997f, 0.650154f, 0.674976f, 0.700518f, 0.726845f, 0.754032f, - 0.782167f, 0.811344f, 0.841644f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000719f, 0.002598f, 0.005618f, - 0.009675f, 0.014663f, 0.020490f, 0.027080f, 0.034367f, 0.042297f, 0.050824f, 0.059909f, - 0.069517f, 0.079622f, 0.090198f, 0.101224f, 0.112682f, 0.124555f, 0.136831f, 0.149496f, - 0.162542f, 0.175958f, 0.189739f, 0.203877f, 0.218368f, 0.233208f, 0.248393f, 0.263923f, - 0.279796f, 0.296012f, 0.312573f, 0.329479f, 0.346734f, 0.364342f, 0.382307f, 0.400637f, - 0.419337f, 0.438418f, 0.457889f, 0.477761f, 0.498050f, 0.518770f, 0.539940f, 0.561581f, - 0.583718f, 0.606380f, 0.629599f, 0.653415f, 0.677874f, 0.703030f, 0.728948f, 0.755706f, - 0.783396f, 0.812121f, 0.841989f, 0.873035f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000114f, 0.001215f, 0.003561f, 0.007056f, - 0.011574f, 0.017003f, 0.023248f, 0.030232f, 0.037888f, 0.046164f, 0.055014f, 0.064399f, - 0.074287f, 0.084650f, 0.095464f, 0.106709f, 0.118367f, 0.130423f, 0.142862f, 0.155674f, - 0.168849f, 0.182378f, 0.196255f, 0.210473f, 0.225027f, 0.239915f, 0.255132f, 0.270678f, - 0.286551f, 0.302751f, 0.319280f, 0.336138f, 0.353330f, 0.370858f, 0.388728f, 0.406944f, - 0.425515f, 0.444449f, 0.463756f, 0.483447f, 0.503535f, 0.524036f, 0.544968f, 0.566350f, - 0.588208f, 0.610569f, 0.633466f, 0.656936f, 0.681025f, 0.705788f, 0.731289f, 0.757606f, - 0.784834f, 0.813085f, 0.842485f, 0.873130f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000324f, 0.001887f, 0.004735f, 0.008727f, - 0.013724f, 0.019607f, 0.026280f, 0.033666f, 0.041699f, 0.050326f, 0.059504f, 0.069194f, - 0.079365f, 0.089989f, 0.101045f, 0.112512f, 0.124372f, 0.136611f, 0.149216f, 0.162176f, - 0.175482f, 0.189125f, 0.203098f, 0.217396f, 0.232015f, 0.246950f, 0.262200f, 0.277761f, - 0.293634f, 0.309819f, 0.326315f, 0.343126f, 0.360254f, 0.377701f, 0.395474f, 0.413577f, - 0.432018f, 0.450804f, 0.469944f, 0.489451f, 0.509337f, 0.529617f, 0.550307f, 0.571428f, - 0.593003f, 0.615059f, 0.637628f, 0.660746f, 0.684460f, 0.708820f, 0.733893f, 0.759756f, - 0.786505f, 0.814259f, 0.843157f, 0.873340f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000683f, 0.002764f, 0.006148f, 0.010661f, - 0.016155f, 0.022506f, 0.029620f, 0.037417f, 0.045835f, 0.054821f, 0.064333f, 0.074333f, - 0.084792f, 0.095683f, 0.106984f, 0.118675f, 0.130741f, 0.143166f, 0.155939f, 0.169049f, - 0.182487f, 0.196245f, 0.210317f, 0.224697f, 0.239380f, 0.254364f, 0.269646f, 0.285223f, - 0.301096f, 0.317265f, 0.333729f, 0.350491f, 0.367554f, 0.384920f, 0.402594f, 0.420582f, - 0.438891f, 0.457527f, 0.476499f, 0.495820f, 0.515500f, 0.535555f, 0.556000f, 0.576855f, - 0.598143f, 0.619888f, 0.642123f, 0.664883f, 0.688211f, 0.712160f, 0.736792f, 0.762186f, - 0.788439f, 0.815672f, 0.844034f, 0.873699f, 0.904765f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000066f, 0.001228f, 0.003880f, 0.007835f, 0.012895f, - 0.018905f, 0.025742f, 0.033309f, 0.041530f, 0.050342f, 0.059696f, 0.069550f, 0.079868f, - 0.090620f, 0.101783f, 0.113333f, 0.125254f, 0.137529f, 0.150144f, 0.163088f, 0.176351f, - 0.189924f, 0.203799f, 0.217970f, 0.232433f, 0.247182f, 0.262216f, 0.277530f, 0.293124f, - 0.308997f, 0.325149f, 0.341581f, 0.358294f, 0.375290f, 0.392573f, 0.410148f, 0.428019f, - 0.446192f, 0.464676f, 0.483478f, 0.502608f, 0.522079f, 0.541905f, 0.562100f, 0.582684f, - 0.603677f, 0.625106f, 0.646998f, 0.669390f, 0.692324f, 0.715849f, 0.740028f, 0.764937f, - 0.790673f, 0.817358f, 0.845150f, 0.874244f, 0.904828f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.002001f, 0.005278f, 0.009840f, 0.015475f, - 0.022025f, 0.029365f, 0.037402f, 0.046060f, 0.055280f, 0.065013f, 0.075218f, 0.085861f, - 0.096916f, 0.108356f, 0.120163f, 0.132319f, 0.144808f, 0.157618f, 0.170737f, 0.184155f, - 0.197866f, 0.211861f, 0.226134f, 0.240682f, 0.255499f, 0.270583f, 0.285931f, 0.301542f, - 0.317415f, 0.333550f, 0.349948f, 0.366610f, 0.383539f, 0.400738f, 0.418210f, 0.435961f, - 0.453997f, 0.472324f, 0.490951f, 0.509887f, 0.529144f, 0.548735f, 0.568674f, 0.588979f, - 0.609671f, 0.630773f, 0.652314f, 0.674328f, 0.696854f, 0.719942f, 0.743651f, 0.768057f, - 0.793253f, 0.819363f, 0.846547f, 0.875017f, 0.905021f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000642f, 0.003053f, 0.007010f, 0.012219f, 0.018462f, - 0.025577f, 0.033444f, 0.041970f, 0.051082f, 0.060724f, 0.070849f, 0.081417f, 0.092397f, - 0.103763f, 0.115491f, 0.127562f, 0.139960f, 0.152670f, 0.165679f, 0.178979f, 0.192558f, - 0.206410f, 0.220529f, 0.234907f, 0.249542f, 0.264428f, 0.279564f, 0.294947f, 0.310575f, - 0.326448f, 0.342566f, 0.358929f, 0.375540f, 0.392399f, 0.409511f, 0.426878f, 0.444506f, - 0.462400f, 0.480566f, 0.499013f, 0.517749f, 0.536785f, 0.556134f, 0.575809f, 0.595827f, - 0.616207f, 0.636973f, 0.658150f, 0.679772f, 0.701876f, 0.724509f, 0.747730f, 0.771609f, - 0.796240f, 0.821743f, 0.848280f, 0.876069f, 0.905404f, 0.936508f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000020f, 0.001278f, 0.004450f, 0.009147f, 0.015050f, 0.021937f, - 0.029649f, 0.038068f, 0.047106f, 0.056694f, 0.066777f, 0.077310f, 0.088257f, 0.099588f, - 0.111277f, 0.123304f, 0.135650f, 0.148299f, 0.161237f, 0.174455f, 0.187941f, 0.201687f, - 0.215687f, 0.229933f, 0.244420f, 0.259145f, 0.274103f, 0.289293f, 0.304711f, 0.320357f, - 0.336230f, 0.352330f, 0.368658f, 0.385214f, 0.402002f, 0.419023f, 0.436282f, 0.453782f, - 0.471529f, 0.489528f, 0.507788f, 0.526317f, 0.545124f, 0.564221f, 0.583621f, 0.603341f, - 0.623397f, 0.643812f, 0.664611f, 0.685824f, 0.707488f, 0.729646f, 0.752354f, 0.775680f, - 0.799715f, 0.824574f, 0.850417f, 0.877466f, 0.906040f, 0.936528f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000183f, 0.002253f, 0.006282f, 0.011786f, 0.018436f, 0.026011f, - 0.034358f, 0.043364f, 0.052944f, 0.063033f, 0.073580f, 0.084544f, 0.095889f, 0.107588f, - 0.119617f, 0.131957f, 0.144591f, 0.157503f, 0.170682f, 0.184117f, 0.197799f, 0.211720f, - 0.225873f, 0.240253f, 0.254854f, 0.269673f, 0.284707f, 0.299953f, 0.315408f, 0.331073f, - 0.346946f, 0.363028f, 0.379318f, 0.395818f, 0.412530f, 0.429457f, 0.446602f, 0.463968f, - 0.481561f, 0.499386f, 0.517450f, 0.535761f, 0.554328f, 0.573162f, 0.592275f, 0.611681f, - 0.631398f, 0.651445f, 0.671845f, 0.692628f, 0.713827f, 0.735484f, 0.757650f, 0.780390f, - 0.803789f, 0.827960f, 0.853056f, 0.879298f, 0.907014f, 0.936691f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.000617f, 0.003679f, 0.008674f, 0.015068f, 0.022531f, 0.030851f, - 0.039880f, 0.049515f, 0.059675f, 0.070300f, 0.081343f, 0.092764f, 0.104533f, 0.116624f, - 0.129015f, 0.141687f, 0.154626f, 0.167818f, 0.181252f, 0.194918f, 0.208807f, 0.222913f, - 0.237229f, 0.251750f, 0.266473f, 0.281392f, 0.296505f, 0.311811f, 0.327306f, 0.342991f, - 0.358864f, 0.374925f, 0.391176f, 0.407616f, 0.424249f, 0.441076f, 0.458100f, 0.475324f, - 0.492754f, 0.510394f, 0.528251f, 0.546331f, 0.564644f, 0.583198f, 0.602005f, 0.621078f, - 0.640434f, 0.660089f, 0.680066f, 0.700390f, 0.721094f, 0.742215f, 0.763800f, 0.785912f, - 0.808628f, 0.832055f, 0.856338f, 0.881690f, 0.908441f, 0.937125f, 0.968254f, 1.000000f, - 0.000000f, 0.000000f, 0.001477f, 0.005732f, 0.011826f, 0.019212f, 0.027573f, 0.036710f, - 0.046487f, 0.056807f, 0.067598f, 0.078806f, 0.090386f, 0.102304f, 0.114532f, 0.127047f, - 0.139828f, 0.152861f, 0.166130f, 0.179624f, 0.193332f, 0.207247f, 0.221360f, 0.235666f, - 0.250158f, 0.264832f, 0.279684f, 0.294711f, 0.309911f, 0.325280f, 0.340819f, 0.356524f, - 0.372397f, 0.388438f, 0.404645f, 0.421022f, 0.437569f, 0.454287f, 0.471181f, 0.488253f, - 0.505507f, 0.522947f, 0.540580f, 0.558412f, 0.576449f, 0.594701f, 0.613178f, 0.631892f, - 0.650856f, 0.670088f, 0.689606f, 0.709434f, 0.729600f, 0.750138f, 0.771093f, 0.792519f, - 0.814488f, 0.837097f, 0.860481f, 0.884842f, 0.910494f, 0.937985f, 0.968254f, 1.000000f, - 0.000000f, 0.000096f, 0.003012f, 0.008704f, 0.016071f, 0.024590f, 0.033968f, 0.044025f, - 0.054641f, 0.065728f, 0.077225f, 0.089081f, 0.101260f, 0.113731f, 0.126469f, 0.139454f, - 0.152670f, 0.166101f, 0.179736f, 0.193565f, 0.207578f, 0.221769f, 0.236130f, 0.250656f, - 0.265343f, 0.280187f, 0.295183f, 0.310330f, 0.325624f, 0.341065f, 0.356650f, 0.372380f, - 0.388253f, 0.404269f, 0.420430f, 0.436735f, 0.453187f, 0.469786f, 0.486536f, 0.503439f, - 0.520498f, 0.537717f, 0.555102f, 0.572657f, 0.590390f, 0.608307f, 0.626419f, 0.644733f, - 0.663264f, 0.682025f, 0.701032f, 0.720308f, 0.739875f, 0.759764f, 0.780014f, 0.800673f, - 0.821803f, 0.843492f, 0.865860f, 0.889087f, 0.913466f, 0.939520f, 0.968350f, 1.000000f, - 0.000000f, 0.000727f, 0.005696f, 0.013170f, 0.022074f, 0.031940f, 0.042520f, 0.053660f, - 0.065258f, 0.077243f, 0.089562f, 0.102175f, 0.115050f, 0.128164f, 0.141495f, 0.155026f, - 0.168745f, 0.182639f, 0.196699f, 0.210915f, 0.225282f, 0.239792f, 0.254440f, 0.269223f, - 0.284135f, 0.299174f, 0.314337f, 0.329622f, 0.345026f, 0.360549f, 0.376189f, 0.391946f, - 0.407819f, 0.423808f, 0.439914f, 0.456137f, 0.472479f, 0.488940f, 0.505523f, 0.522230f, - 0.539064f, 0.556028f, 0.573125f, 0.590361f, 0.607741f, 0.625270f, 0.642957f, 0.660809f, - 0.678836f, 0.697050f, 0.715465f, 0.734098f, 0.752968f, 0.772101f, 0.791529f, 0.811290f, - 0.831438f, 0.852044f, 0.873210f, 0.895090f, 0.917932f, 0.942204f, 0.968981f, 1.000000f, - 0.000000f, 0.002796f, 0.010764f, 0.020645f, 0.031576f, 0.043202f, 0.055340f, 0.067877f, - 0.080740f, 0.093877f, 0.107250f, 0.120832f, 0.134598f, 0.148533f, 0.162620f, 0.176849f, - 0.191210f, 0.205694f, 0.220294f, 0.235005f, 0.249820f, 0.264737f, 0.279751f, 0.294859f, - 0.310058f, 0.325346f, 0.340721f, 0.356181f, 0.371725f, 0.387353f, 0.403063f, 0.418854f, - 0.434727f, 0.450682f, 0.466718f, 0.482837f, 0.499038f, 0.515324f, 0.531695f, 0.548153f, - 0.564700f, 0.581338f, 0.598070f, 0.614900f, 0.631830f, 0.648865f, 0.666011f, 0.683273f, - 0.700659f, 0.718176f, 0.735834f, 0.753646f, 0.771625f, 0.789790f, 0.808162f, 0.826771f, - 0.845654f, 0.864863f, 0.884472f, 0.904592f, 0.925407f, 0.947271f, 0.971050f, 1.000000f, - 0.000000f, 0.015873f, 0.031746f, 0.047619f, 0.063492f, 0.079365f, 0.095238f, 0.111111f, - 0.126984f, 0.142857f, 0.158730f, 0.174603f, 0.190476f, 0.206349f, 0.222222f, 0.238095f, - 0.253968f, 0.269841f, 0.285714f, 0.301587f, 0.317460f, 0.333333f, 0.349206f, 0.365079f, - 0.380952f, 0.396825f, 0.412698f, 0.428571f, 0.444444f, 0.460317f, 0.476190f, 0.492063f, - 0.507937f, 0.523810f, 0.539683f, 0.555556f, 0.571429f, 0.587302f, 0.603175f, 0.619048f, - 0.634921f, 0.650794f, 0.666667f, 0.682540f, 0.698413f, 0.714286f, 0.730159f, 0.746032f, - 0.761905f, 0.777778f, 0.793651f, 0.809524f, 0.825397f, 0.841270f, 0.857143f, 0.873016f, - 0.888889f, 0.904762f, 0.920635f, 0.936508f, 0.952381f, 0.968254f, 0.984127f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.015873f, 0.047619f, 0.079365f, 0.111111f, 0.142857f, 0.174603f, 0.206349f, 0.238095f, + 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000148f, 0.002454f, 0.008675f, 0.019560f, + 0.035433f, 0.056294f, 0.081819f, 0.111259f, 0.142857f, 0.174603f, 0.206349f, 0.238095f, + 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000002f, 0.000761f, 0.003673f, 0.009403f, 0.018333f, 0.030683f, + 0.046556f, 0.065952f, 0.088768f, 0.114784f, 0.143618f, 0.174606f, 0.206349f, 0.238095f, + 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000039f, 0.000969f, 0.003703f, 0.008684f, 0.016189f, 0.026395f, 0.039409f, + 0.055282f, 0.074014f, 0.095554f, 0.119795f, 0.146560f, 0.175573f, 0.206388f, 0.238095f, + 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000047f, 0.000895f, 0.003265f, 0.007514f, 0.013873f, 0.022495f, 0.033483f, 0.046897f, + 0.062770f, 0.081102f, 0.101860f, 0.124985f, 0.150372f, 0.177868f, 0.207245f, 0.238143f, + 0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000028f, + 0.000695f, 0.002655f, 0.006230f, 0.011623f, 0.018976f, 0.028384f, 0.039915f, 0.053606f, + 0.069479f, 0.087534f, 0.107749f, 0.130087f, 0.154481f, 0.180833f, 0.209005f, 0.238791f, + 0.269869f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000465f, + 0.002017f, 0.004975f, 0.009533f, 0.015821f, 0.023934f, 0.033937f, 0.045874f, 0.059772f, + 0.075645f, 0.093493f, 0.113302f, 0.135045f, 0.158678f, 0.184136f, 0.211325f, 0.240113f, + 0.270306f, 0.301594f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.001426f, + 0.003823f, 0.007642f, 0.013012f, 0.020025f, 0.028745f, 0.039218f, 0.051475f, 0.065535f, + 0.081408f, 0.099094f, 0.118583f, 0.139856f, 0.162882f, 0.187615f, 0.213991f, 0.241918f, + 0.271267f, 0.301847f, 0.333333f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000109f, 0.000921f, 0.002807f, + 0.005966f, 0.010528f, 0.016585f, 0.024200f, 0.033420f, 0.044278f, 0.056796f, 0.070988f, + 0.086861f, 0.104415f, 0.123643f, 0.144531f, 0.167057f, 0.191188f, 0.216878f, 0.244062f, + 0.272649f, 0.302509f, 0.333442f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000024f, 0.000524f, 0.001947f, 0.004511f, + 0.008351f, 0.013561f, 0.020206f, 0.028332f, 0.037974f, 0.049155f, 0.061892f, 0.076194f, + 0.092067f, 0.109511f, 0.128520f, 0.149085f, 0.171189f, 0.194809f, 0.219910f, 0.246447f, + 0.274352f, 0.303535f, 0.333857f, 0.365104f, 0.396826f, 0.428572f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000242f, 0.001250f, 0.003275f, 0.006463f, + 0.010913f, 0.016693f, 0.023849f, 0.032418f, 0.042423f, 0.053881f, 0.066805f, 0.081201f, + 0.097074f, 0.114424f, 0.133246f, 0.153534f, 0.175275f, 0.198453f, 0.223042f, 0.249009f, + 0.276304f, 0.304862f, 0.334584f, 0.365322f, 0.396826f, 0.428571f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000074f, 0.000716f, 0.002252f, 0.004848f, 0.008610f, + 0.013608f, 0.019894f, 0.027502f, 0.036458f, 0.046780f, 0.058480f, 0.071567f, 0.086045f, + 0.101918f, 0.119186f, 0.137845f, 0.157891f, 0.179316f, 0.202106f, 0.226243f, 0.251704f, + 0.278451f, 0.306436f, 0.335586f, 0.365796f, 0.396900f, 0.428571f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000006f, 0.000342f, 0.001437f, 0.003492f, 0.006624f, 0.010911f, + 0.016406f, 0.023146f, 0.031157f, 0.040457f, 0.051059f, 0.062972f, 0.076203f, 0.090753f, + 0.106626f, 0.123822f, 0.142337f, 0.162170f, 0.183314f, 0.205760f, 0.229496f, 0.254502f, + 0.280753f, 0.308212f, 0.336825f, 0.366517f, 0.397167f, 0.428578f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000114f, 0.000820f, 0.002381f, 0.004935f, 0.008569f, 0.013339f, + 0.019286f, 0.026437f, 0.034810f, 0.044418f, 0.055271f, 0.067375f, 0.080733f, 0.095348f, + 0.111221f, 0.128352f, 0.146740f, 0.166382f, 0.187276f, 0.209413f, 0.232786f, 0.257382f, + 0.283181f, 0.310156f, 0.338269f, 0.367461f, 0.397646f, 0.428685f, 0.460318f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000014f, 0.000390f, 0.001503f, 0.003525f, 0.006554f, 0.010655f, 0.015872f, + 0.022233f, 0.029758f, 0.038460f, 0.048347f, 0.059427f, 0.071702f, 0.085175f, 0.099848f, + 0.115721f, 0.132794f, 0.151067f, 0.170538f, 0.191204f, 0.213063f, 0.236107f, 0.260329f, + 0.285714f, 0.312243f, 0.339887f, 0.368604f, 0.398329f, 0.428961f, 0.460331f, 0.492064f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000130f, 0.000845f, 0.002376f, 0.004845f, 0.008325f, 0.012864f, 0.018495f, + 0.025237f, 0.033105f, 0.042107f, 0.052249f, 0.063534f, 0.075965f, 0.089543f, 0.104269f, + 0.120142f, 0.137163f, 0.155330f, 0.174645f, 0.195106f, 0.216710f, 0.239454f, 0.263332f, + 0.288336f, 0.314451f, 0.341658f, 0.369924f, 0.399202f, 0.429416f, 0.460447f, 0.492064f, + 0.523809f, 0.555555f, 0.587301f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000016f, 0.000391f, 0.001475f, 0.003423f, 0.006322f, 0.010230f, 0.015179f, 0.021195f, + 0.028290f, 0.036474f, 0.045752f, 0.056128f, 0.067602f, 0.080176f, 0.093850f, 0.108623f, + 0.124496f, 0.141469f, 0.159541f, 0.178713f, 0.198985f, 0.220355f, 0.242823f, 0.266385f, + 0.291036f, 0.316767f, 0.343563f, 0.371402f, 0.400248f, 0.430047f, 0.460709f, 0.492079f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000123f, 0.000807f, 0.002272f, 0.004628f, 0.007942f, 0.012253f, 0.017589f, 0.023963f, + 0.031387f, 0.039864f, 0.049398f, 0.059990f, 0.071638f, 0.084344f, 0.098106f, 0.112923f, + 0.128796f, 0.145725f, 0.163709f, 0.182749f, 0.202847f, 0.224001f, 0.246214f, 0.269482f, + 0.293805f, 0.319176f, 0.345587f, 0.373021f, 0.401454f, 0.430844f, 0.461125f, 0.492187f, + 0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, + 0.000356f, 0.001378f, 0.003225f, 0.005979f, 0.009689f, 0.014384f, 0.020083f, 0.026795f, + 0.034525f, 0.043276f, 0.053047f, 0.063839f, 0.075649f, 0.088476f, 0.102320f, 0.117178f, + 0.133051f, 0.149939f, 0.167841f, 0.186760f, 0.206696f, 0.227650f, 0.249625f, 0.272620f, + 0.296636f, 0.321671f, 0.347718f, 0.374768f, 0.402804f, 0.431796f, 0.461695f, 0.492420f, + 0.523822f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000100f, + 0.000725f, 0.002097f, 0.004323f, 0.007463f, 0.011553f, 0.016613f, 0.022655f, 0.029684f, + 0.037702f, 0.046708f, 0.056701f, 0.067680f, 0.079640f, 0.092581f, 0.106501f, 0.121397f, + 0.137270f, 0.154120f, 0.171946f, 0.190751f, 0.210537f, 0.231305f, 0.253057f, 0.275797f, + 0.299525f, 0.324242f, 0.349947f, 0.376633f, 0.404289f, 0.432895f, 0.462415f, 0.492788f, + 0.523909f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000005f, 0.000296f, + 0.001231f, 0.002960f, 0.005558f, 0.009072f, 0.013526f, 0.018933f, 0.025299f, 0.032627f, + 0.040916f, 0.050162f, 0.060364f, 0.071517f, 0.083619f, 0.096666f, 0.110656f, 0.125588f, + 0.141461f, 0.158275f, 0.176031f, 0.194730f, 0.214374f, 0.234967f, 0.256512f, 0.279011f, + 0.302468f, 0.326887f, 0.352266f, 0.378605f, 0.405897f, 0.434130f, 0.463277f, 0.493295f, + 0.524106f, 0.555561f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000068f, 0.000613f, + 0.001874f, 0.003958f, 0.006921f, 0.010796f, 0.015599f, 0.021336f, 0.028011f, 0.035623f, + 0.044167f, 0.053640f, 0.064038f, 0.075355f, 0.087589f, 0.100736f, 0.114793f, 0.129759f, + 0.145632f, 0.162412f, 0.180101f, 0.198700f, 0.218213f, 0.238641f, 0.259989f, 0.282262f, + 0.305464f, 0.329599f, 0.354670f, 0.380678f, 0.407622f, 0.435493f, 0.464275f, 0.493938f, + 0.524422f, 0.555624f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000223f, 0.001054f, + 0.002649f, 0.005086f, 0.008406f, 0.012629f, 0.017766f, 0.023820f, 0.030789f, 0.038669f, + 0.047455f, 0.057143f, 0.067726f, 0.079199f, 0.091558f, 0.104798f, 0.118918f, 0.133915f, + 0.149788f, 0.166537f, 0.184164f, 0.202669f, 0.222056f, 0.242329f, 0.263492f, 0.285551f, + 0.308510f, 0.332376f, 0.357153f, 0.382845f, 0.409454f, 0.436977f, 0.465404f, 0.494713f, + 0.524864f, 0.555779f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, 0.000486f, 0.001621f, + 0.003553f, 0.006338f, 0.010004f, 0.014565f, 0.020024f, 0.026380f, 0.033629f, 0.041765f, + 0.050782f, 0.060673f, 0.071431f, 0.083052f, 0.095529f, 0.108859f, 0.123038f, 0.138065f, + 0.153938f, 0.170657f, 0.188224f, 0.206640f, 0.225909f, 0.246035f, 0.267022f, 0.288878f, + 0.311607f, 0.335216f, 0.359713f, 0.385103f, 0.411390f, 0.438576f, 0.466656f, 0.495617f, + 0.525431f, 0.556041f, 0.587338f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000149f, 0.000861f, 0.002312f, + 0.004581f, 0.007709f, 0.011713f, 0.016599f, 0.022367f, 0.029014f, 0.036531f, 0.044912f, + 0.054148f, 0.064233f, 0.075158f, 0.086918f, 0.099507f, 0.112922f, 0.127157f, 0.142212f, + 0.158085f, 0.174776f, 0.192287f, 0.210619f, 0.229775f, 0.249761f, 0.270582f, 0.292243f, + 0.314753f, 0.338118f, 0.362347f, 0.387447f, 0.413424f, 0.440284f, 0.468027f, 0.496645f, + 0.526122f, 0.556417f, 0.587451f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, 0.000355f, 0.001353f, 0.003126f, + 0.005730f, 0.009194f, 0.013526f, 0.018728f, 0.024795f, 0.031720f, 0.039494f, 0.048109f, + 0.057555f, 0.067824f, 0.078909f, 0.090802f, 0.103499f, 0.116993f, 0.131282f, 0.146364f, + 0.162237f, 0.178902f, 0.196358f, 0.214610f, 0.233660f, 0.253512f, 0.274174f, 0.295650f, + 0.317950f, 0.341081f, 0.365053f, 0.389874f, 0.415553f, 0.442098f, 0.469512f, 0.497794f, + 0.526935f, 0.556908f, 0.587657f, 0.619060f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000083f, 0.000665f, 0.001962f, 0.004059f, + 0.006997f, 0.010790f, 0.015442f, 0.020949f, 0.027304f, 0.034497f, 0.042518f, 0.051358f, + 0.061005f, 0.071451f, 0.082688f, 0.094709f, 0.107507f, 0.121078f, 0.135419f, 0.150526f, + 0.166399f, 0.183038f, 0.200443f, 0.218618f, 0.237566f, 0.257291f, 0.277800f, 0.299100f, + 0.321199f, 0.344106f, 0.367830f, 0.392383f, 0.417774f, 0.444013f, 0.471107f, 0.499060f, + 0.527869f, 0.557517f, 0.587966f, 0.619130f, 0.650794f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000233f, 0.001082f, 0.002688f, 0.005111f, + 0.008377f, 0.012493f, 0.017456f, 0.023260f, 0.029893f, 0.037345f, 0.045604f, 0.054659f, + 0.064499f, 0.075115f, 0.086498f, 0.098641f, 0.111537f, 0.125182f, 0.139571f, 0.154703f, + 0.170576f, 0.187190f, 0.204547f, 0.222648f, 0.241498f, 0.261101f, 0.281465f, 0.302595f, + 0.324501f, 0.347192f, 0.370679f, 0.394973f, 0.420085f, 0.446027f, 0.472810f, 0.500441f, + 0.528921f, 0.558244f, 0.588384f, 0.619281f, 0.650795f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000033f, 0.000477f, 0.001611f, 0.003532f, 0.006280f, + 0.009869f, 0.014301f, 0.019568f, 0.025659f, 0.032563f, 0.040265f, 0.048753f, 0.058016f, + 0.068042f, 0.078821f, 0.090344f, 0.102604f, 0.115594f, 0.129309f, 0.143745f, 0.158901f, + 0.174774f, 0.191365f, 0.208674f, 0.226705f, 0.245461f, 0.264947f, 0.285170f, 0.306137f, + 0.327857f, 0.350341f, 0.373598f, 0.397642f, 0.422485f, 0.448139f, 0.474619f, 0.501933f, + 0.530089f, 0.559087f, 0.588913f, 0.619525f, 0.650826f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000130f, 0.000821f, 0.002252f, 0.004491f, 0.007562f, + 0.011472f, 0.016213f, 0.021776f, 0.028147f, 0.035312f, 0.043256f, 0.051966f, 0.061430f, + 0.071635f, 0.082571f, 0.094229f, 0.106602f, 0.119682f, 0.133465f, 0.147947f, 0.163125f, + 0.178998f, 0.195566f, 0.212830f, 0.230793f, 0.249459f, 0.268832f, 0.288920f, 0.309730f, + 0.331271f, 0.353554f, 0.376590f, 0.400391f, 0.424973f, 0.450347f, 0.476531f, 0.503535f, + 0.531372f, 0.560047f, 0.589554f, 0.619869f, 0.650923f, 0.682540f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000005f, 0.000309f, 0.001270f, 0.003008f, 0.005566f, 0.008959f, + 0.013183f, 0.018228f, 0.024080f, 0.030723f, 0.038142f, 0.046321f, 0.055246f, 0.064903f, + 0.075281f, 0.086369f, 0.098158f, 0.110639f, 0.123806f, 0.137655f, 0.152180f, 0.167380f, + 0.183253f, 0.199799f, 0.217020f, 0.234918f, 0.253496f, 0.272761f, 0.292719f, 0.313377f, + 0.334745f, 0.356833f, 0.379654f, 0.403221f, 0.427548f, 0.452651f, 0.478545f, 0.505246f, + 0.532768f, 0.561122f, 0.590309f, 0.620318f, 0.651102f, 0.682545f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000053f, 0.000579f, 0.001828f, 0.003878f, 0.006757f, 0.010468f, + 0.015002f, 0.020344f, 0.026479f, 0.033388f, 0.041054f, 0.049461f, 0.058594f, 0.068440f, + 0.078985f, 0.090220f, 0.102134f, 0.114721f, 0.127972f, 0.141884f, 0.156451f, 0.171672f, + 0.187545f, 0.204070f, 0.221249f, 0.239083f, 0.257578f, 0.276738f, 0.296569f, 0.317080f, + 0.338281f, 0.360181f, 0.382794f, 0.406133f, 0.430213f, 0.455050f, 0.480662f, 0.507065f, + 0.534278f, 0.562313f, 0.591180f, 0.620875f, 0.651373f, 0.682593f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000169f, 0.000949f, 0.002497f, 0.004864f, 0.008063f, 0.012089f, + 0.016929f, 0.022563f, 0.028974f, 0.036142f, 0.044049f, 0.052678f, 0.062014f, 0.072042f, + 0.082750f, 0.094127f, 0.106164f, 0.118852f, 0.132185f, 0.146157f, 0.160766f, 0.176007f, + 0.191880f, 0.208385f, 0.225523f, 0.243296f, 0.261709f, 0.280767f, 0.300476f, 0.320845f, + 0.341883f, 0.363601f, 0.386011f, 0.409128f, 0.432967f, 0.457545f, 0.482881f, 0.508992f, + 0.535899f, 0.563619f, 0.592165f, 0.621544f, 0.651743f, 0.682709f, 0.714286f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000010f, 0.000368f, 0.001423f, 0.003279f, 0.005966f, 0.009485f, 0.013824f, + 0.018964f, 0.024886f, 0.031567f, 0.038988f, 0.047130f, 0.055975f, 0.065508f, 0.075714f, + 0.086580f, 0.098095f, 0.110251f, 0.123038f, 0.136450f, 0.150482f, 0.165129f, 0.180390f, + 0.196263f, 0.212748f, 0.229847f, 0.247561f, 0.265895f, 0.284854f, 0.304445f, 0.324675f, + 0.345555f, 0.367095f, 0.389309f, 0.412210f, 0.435814f, 0.460138f, 0.485203f, 0.511028f, + 0.537634f, 0.565041f, 0.593268f, 0.622327f, 0.652217f, 0.682907f, 0.714296f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000068f, 0.000658f, 0.002006f, 0.004178f, 0.007186f, 0.011024f, 0.015672f, + 0.021109f, 0.027312f, 0.034259f, 0.041928f, 0.050300f, 0.059356f, 0.069081f, 0.079460f, + 0.090480f, 0.102130f, 0.114400f, 0.127284f, 0.140772f, 0.154862f, 0.169548f, 0.184828f, + 0.200701f, 0.217167f, 0.234227f, 0.251884f, 0.270141f, 0.289004f, 0.308479f, 0.328575f, + 0.349301f, 0.370668f, 0.392689f, 0.415379f, 0.438754f, 0.462830f, 0.487630f, 0.513173f, + 0.539482f, 0.566579f, 0.594488f, 0.623226f, 0.652800f, 0.683198f, 0.714354f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000196f, 0.001048f, 0.002702f, 0.005194f, 0.008526f, 0.012680f, 0.017635f, + 0.023365f, 0.029846f, 0.037053f, 0.044965f, 0.053561f, 0.062824f, 0.072737f, 0.083284f, + 0.094454f, 0.106236f, 0.118619f, 0.131595f, 0.145159f, 0.159305f, 0.174028f, 0.189327f, + 0.205200f, 0.221647f, 0.238670f, 0.256270f, 0.274453f, 0.293222f, 0.312585f, 0.332550f, + 0.353126f, 0.374324f, 0.396158f, 0.418641f, 0.441790f, 0.465624f, 0.490163f, 0.515429f, + 0.541445f, 0.568236f, 0.595828f, 0.624242f, 0.653496f, 0.683588f, 0.714482f, 0.746032f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000012f, 0.000407f, 0.001545f, 0.003514f, 0.006332f, 0.009987f, 0.014457f, 0.019715f, + 0.025734f, 0.032488f, 0.039952f, 0.048102f, 0.056919f, 0.066384f, 0.076480f, 0.087193f, + 0.098509f, 0.110419f, 0.122912f, 0.135980f, 0.149617f, 0.163817f, 0.178577f, 0.193894f, + 0.209767f, 0.226196f, 0.243182f, 0.260728f, 0.278837f, 0.297515f, 0.316768f, 0.336605f, + 0.357034f, 0.378067f, 0.399717f, 0.421998f, 0.444928f, 0.468523f, 0.492806f, 0.517798f, + 0.543525f, 0.570012f, 0.597288f, 0.625379f, 0.654307f, 0.684084f, 0.714693f, 0.746044f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000074f, 0.000713f, 0.002152f, 0.004446f, 0.007592f, 0.011571f, 0.016356f, 0.021915f, + 0.028220f, 0.035243f, 0.042959f, 0.051344f, 0.060377f, 0.070040f, 0.080316f, 0.091191f, + 0.102651f, 0.114686f, 0.127286f, 0.140443f, 0.154151f, 0.168405f, 0.183201f, 0.198536f, + 0.214409f, 0.230820f, 0.247770f, 0.265263f, 0.283301f, 0.301889f, 0.321035f, 0.340746f, + 0.361032f, 0.381904f, 0.403374f, 0.425457f, 0.448169f, 0.471530f, 0.495561f, 0.520284f, + 0.545725f, 0.571911f, 0.598873f, 0.626640f, 0.655239f, 0.684692f, 0.714999f, 0.746106f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000208f, 0.001121f, 0.002877f, 0.005501f, 0.008979f, 0.013283f, 0.018380f, 0.024238f, + 0.030826f, 0.038115f, 0.046079f, 0.054695f, 0.063941f, 0.073799f, 0.084252f, 0.095285f, + 0.106886f, 0.119044f, 0.131749f, 0.144994f, 0.158772f, 0.173078f, 0.187908f, 0.203261f, + 0.219134f, 0.235527f, 0.252443f, 0.269883f, 0.287851f, 0.306352f, 0.325393f, 0.344981f, + 0.365126f, 0.385839f, 0.407132f, 0.429020f, 0.451520f, 0.474651f, 0.498433f, 0.522890f, + 0.548048f, 0.573936f, 0.600584f, 0.628027f, 0.656295f, 0.685417f, 0.715406f, 0.746240f, + 0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000011f, + 0.000427f, 0.001638f, 0.003724f, 0.006685f, 0.010497f, 0.015125f, 0.020534f, 0.026688f, + 0.033557f, 0.041109f, 0.049318f, 0.058161f, 0.067617f, 0.077666f, 0.088293f, 0.099482f, + 0.111221f, 0.123499f, 0.136308f, 0.149639f, 0.163485f, 0.177843f, 0.192707f, 0.208077f, + 0.223950f, 0.240326f, 0.257208f, 0.274596f, 0.292496f, 0.310911f, 0.329849f, 0.349316f, + 0.369323f, 0.389880f, 0.410999f, 0.432696f, 0.454987f, 0.477890f, 0.501426f, 0.525620f, + 0.550498f, 0.576089f, 0.602427f, 0.629544f, 0.657479f, 0.686264f, 0.715924f, 0.746459f, + 0.777789f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000071f, + 0.000744f, 0.002274f, 0.004698f, 0.008002f, 0.012149f, 0.017102f, 0.022822f, 0.029271f, + 0.036417f, 0.044229f, 0.052681f, 0.061749f, 0.071411f, 0.081649f, 0.092447f, 0.103790f, + 0.115665f, 0.128062f, 0.140972f, 0.154387f, 0.168301f, 0.182709f, 0.197608f, 0.212994f, + 0.228867f, 0.245227f, 0.262074f, 0.279412f, 0.297244f, 0.315575f, 0.334412f, 0.353760f, + 0.373631f, 0.394034f, 0.414983f, 0.436491f, 0.458575f, 0.481253f, 0.504547f, 0.528481f, + 0.553081f, 0.578377f, 0.604404f, 0.631197f, 0.658795f, 0.687238f, 0.716559f, 0.746776f, + 0.777849f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000205f, + 0.001168f, 0.003033f, 0.005806f, 0.009456f, 0.013942f, 0.019220f, 0.025250f, 0.031992f, + 0.039414f, 0.047484f, 0.056176f, 0.065466f, 0.075333f, 0.085757f, 0.096724f, 0.108218f, + 0.120227f, 0.132741f, 0.145751f, 0.159249f, 0.173230f, 0.187687f, 0.202619f, 0.218021f, + 0.233894f, 0.250238f, 0.267052f, 0.284341f, 0.302106f, 0.320354f, 0.339090f, 0.358322f, + 0.378059f, 0.398311f, 0.419090f, 0.440412f, 0.462292f, 0.484748f, 0.507802f, 0.531477f, + 0.555802f, 0.580805f, 0.606522f, 0.632990f, 0.660250f, 0.688346f, 0.717319f, 0.747200f, + 0.777982f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000427f, + 0.001710f, 0.003925f, 0.007054f, 0.011055f, 0.015881f, 0.021485f, 0.027824f, 0.034859f, + 0.042554f, 0.050881f, 0.059811f, 0.069321f, 0.079390f, 0.089998f, 0.101132f, 0.112775f, + 0.124917f, 0.137547f, 0.150655f, 0.164236f, 0.178281f, 0.192788f, 0.207752f, 0.223171f, + 0.239044f, 0.255371f, 0.272153f, 0.289393f, 0.307093f, 0.325259f, 0.343896f, 0.363012f, + 0.382617f, 0.402719f, 0.423332f, 0.444469f, 0.466146f, 0.488383f, 0.511199f, 0.534618f, + 0.558668f, 0.583380f, 0.608787f, 0.634929f, 0.661849f, 0.689594f, 0.718211f, 0.747742f, + 0.778205f, 0.809530f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000059f, 0.000754f, + 0.002379f, 0.004956f, 0.008449f, 0.012806f, 0.017974f, 0.023905f, 0.030553f, 0.037879f, + 0.045847f, 0.054429f, 0.063595f, 0.073323f, 0.083592f, 0.094384f, 0.105682f, 0.117474f, + 0.129747f, 0.142491f, 0.155697f, 0.169358f, 0.183469f, 0.198024f, 0.213020f, 0.228455f, + 0.244329f, 0.260639f, 0.277389f, 0.294580f, 0.312216f, 0.330300f, 0.348840f, 0.367842f, + 0.387315f, 0.407270f, 0.427717f, 0.448671f, 0.470149f, 0.492167f, 0.514746f, 0.537911f, + 0.561688f, 0.586108f, 0.611206f, 0.637022f, 0.663599f, 0.690989f, 0.719242f, 0.748411f, + 0.778531f, 0.809583f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000187f, 0.001196f, + 0.003184f, 0.006136f, 0.010000f, 0.014716f, 0.020230f, 0.026488f, 0.033445f, 0.041062f, + 0.049303f, 0.058138f, 0.067540f, 0.077485f, 0.087953f, 0.098926f, 0.110388f, 0.122327f, + 0.134729f, 0.147587f, 0.160889f, 0.174631f, 0.188806f, 0.203409f, 0.218437f, 0.233888f, + 0.249761f, 0.266056f, 0.282774f, 0.299917f, 0.317488f, 0.335493f, 0.353936f, 0.372825f, + 0.392168f, 0.411976f, 0.432259f, 0.453032f, 0.474310f, 0.496111f, 0.518456f, 0.541367f, + 0.564872f, 0.589001f, 0.613789f, 0.639277f, 0.665510f, 0.692539f, 0.720422f, 0.749216f, + 0.778974f, 0.809711f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000409f, 0.001767f, + 0.004137f, 0.007474f, 0.011716f, 0.016797f, 0.022657f, 0.029244f, 0.036512f, 0.044420f, + 0.052933f, 0.062021f, 0.071657f, 0.081819f, 0.092485f, 0.103638f, 0.115263f, 0.127348f, + 0.139880f, 0.152849f, 0.166248f, 0.180070f, 0.194308f, 0.208958f, 0.224018f, 0.239485f, + 0.255359f, 0.271638f, 0.288324f, 0.305419f, 0.322927f, 0.340851f, 0.359199f, 0.377975f, + 0.397189f, 0.416851f, 0.436971f, 0.457564f, 0.478644f, 0.500229f, 0.522339f, 0.544997f, + 0.568230f, 0.592068f, 0.616546f, 0.641705f, 0.667590f, 0.694255f, 0.721760f, 0.750168f, + 0.779545f, 0.809933f, 0.841272f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000041f, 0.000744f, 0.002481f, + 0.005248f, 0.008982f, 0.013608f, 0.019058f, 0.025269f, 0.032188f, 0.039767f, 0.047967f, + 0.056752f, 0.066093f, 0.075963f, 0.086340f, 0.097203f, 0.108537f, 0.120325f, 0.132554f, + 0.145215f, 0.158296f, 0.171790f, 0.185691f, 0.199993f, 0.214691f, 0.229782f, 0.245265f, + 0.261138f, 0.277401f, 0.294056f, 0.311104f, 0.328548f, 0.346394f, 0.364645f, 0.383310f, + 0.402396f, 0.421912f, 0.441870f, 0.462283f, 0.483165f, 0.504535f, 0.526410f, 0.548816f, + 0.571776f, 0.595323f, 0.619489f, 0.644317f, 0.669852f, 0.696148f, 0.723267f, 0.751280f, + 0.780258f, 0.810268f, 0.841311f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000156f, 0.001209f, 0.003349f, + 0.006531f, 0.010672f, 0.015691f, 0.021515f, 0.028080f, 0.035332f, 0.043225f, 0.051717f, + 0.060775f, 0.070370f, 0.080474f, 0.091067f, 0.102128f, 0.113641f, 0.125591f, 0.137965f, + 0.150754f, 0.163947f, 0.177537f, 0.191516f, 0.205881f, 0.220626f, 0.235749f, 0.251248f, + 0.267121f, 0.283368f, 0.299992f, 0.316992f, 0.334374f, 0.352140f, 0.370296f, 0.388849f, + 0.407807f, 0.427178f, 0.446974f, 0.467207f, 0.487892f, 0.509046f, 0.530687f, 0.552839f, + 0.575527f, 0.598780f, 0.622634f, 0.647128f, 0.672308f, 0.698231f, 0.724958f, 0.752563f, + 0.781127f, 0.810733f, 0.841426f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000374f, 0.001821f, 0.004389f, + 0.008001f, 0.012559f, 0.017979f, 0.024182f, 0.031106f, 0.038695f, 0.046903f, 0.055690f, + 0.065023f, 0.074872f, 0.085211f, 0.096020f, 0.107279f, 0.118971f, 0.131084f, 0.143604f, + 0.156521f, 0.169825f, 0.183510f, 0.197569f, 0.211997f, 0.226789f, 0.241944f, 0.257458f, + 0.273331f, 0.289563f, 0.306154f, 0.323108f, 0.340426f, 0.358113f, 0.376175f, 0.394616f, + 0.413445f, 0.432671f, 0.452305f, 0.472358f, 0.492845f, 0.513783f, 0.535189f, 0.557087f, + 0.579500f, 0.602459f, 0.625997f, 0.650154f, 0.674976f, 0.700518f, 0.726845f, 0.754032f, + 0.782167f, 0.811344f, 0.841644f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000719f, 0.002598f, 0.005618f, + 0.009675f, 0.014663f, 0.020490f, 0.027080f, 0.034367f, 0.042297f, 0.050824f, 0.059909f, + 0.069517f, 0.079622f, 0.090198f, 0.101224f, 0.112682f, 0.124555f, 0.136831f, 0.149496f, + 0.162542f, 0.175958f, 0.189739f, 0.203877f, 0.218368f, 0.233208f, 0.248393f, 0.263923f, + 0.279796f, 0.296012f, 0.312573f, 0.329479f, 0.346734f, 0.364342f, 0.382307f, 0.400637f, + 0.419337f, 0.438418f, 0.457889f, 0.477761f, 0.498050f, 0.518770f, 0.539940f, 0.561581f, + 0.583718f, 0.606380f, 0.629599f, 0.653415f, 0.677874f, 0.703030f, 0.728948f, 0.755706f, + 0.783396f, 0.812121f, 0.841989f, 0.873035f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000114f, 0.001215f, 0.003561f, 0.007056f, + 0.011574f, 0.017003f, 0.023248f, 0.030232f, 0.037888f, 0.046164f, 0.055014f, 0.064399f, + 0.074287f, 0.084650f, 0.095464f, 0.106709f, 0.118367f, 0.130423f, 0.142862f, 0.155674f, + 0.168849f, 0.182378f, 0.196255f, 0.210473f, 0.225027f, 0.239915f, 0.255132f, 0.270678f, + 0.286551f, 0.302751f, 0.319280f, 0.336138f, 0.353330f, 0.370858f, 0.388728f, 0.406944f, + 0.425515f, 0.444449f, 0.463756f, 0.483447f, 0.503535f, 0.524036f, 0.544968f, 0.566350f, + 0.588208f, 0.610569f, 0.633466f, 0.656936f, 0.681025f, 0.705788f, 0.731289f, 0.757606f, + 0.784834f, 0.813085f, 0.842485f, 0.873130f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000324f, 0.001887f, 0.004735f, 0.008727f, + 0.013724f, 0.019607f, 0.026280f, 0.033666f, 0.041699f, 0.050326f, 0.059504f, 0.069194f, + 0.079365f, 0.089989f, 0.101045f, 0.112512f, 0.124372f, 0.136611f, 0.149216f, 0.162176f, + 0.175482f, 0.189125f, 0.203098f, 0.217396f, 0.232015f, 0.246950f, 0.262200f, 0.277761f, + 0.293634f, 0.309819f, 0.326315f, 0.343126f, 0.360254f, 0.377701f, 0.395474f, 0.413577f, + 0.432018f, 0.450804f, 0.469944f, 0.489451f, 0.509337f, 0.529617f, 0.550307f, 0.571428f, + 0.593003f, 0.615059f, 0.637628f, 0.660746f, 0.684460f, 0.708820f, 0.733893f, 0.759756f, + 0.786505f, 0.814259f, 0.843157f, 0.873340f, 0.904762f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000683f, 0.002764f, 0.006148f, 0.010661f, + 0.016155f, 0.022506f, 0.029620f, 0.037417f, 0.045835f, 0.054821f, 0.064333f, 0.074333f, + 0.084792f, 0.095683f, 0.106984f, 0.118675f, 0.130741f, 0.143166f, 0.155939f, 0.169049f, + 0.182487f, 0.196245f, 0.210317f, 0.224697f, 0.239380f, 0.254364f, 0.269646f, 0.285223f, + 0.301096f, 0.317265f, 0.333729f, 0.350491f, 0.367554f, 0.384920f, 0.402594f, 0.420582f, + 0.438891f, 0.457527f, 0.476499f, 0.495820f, 0.515500f, 0.535555f, 0.556000f, 0.576855f, + 0.598143f, 0.619888f, 0.642123f, 0.664883f, 0.688211f, 0.712160f, 0.736792f, 0.762186f, + 0.788439f, 0.815672f, 0.844034f, 0.873699f, 0.904765f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000066f, 0.001228f, 0.003880f, 0.007835f, 0.012895f, + 0.018905f, 0.025742f, 0.033309f, 0.041530f, 0.050342f, 0.059696f, 0.069550f, 0.079868f, + 0.090620f, 0.101783f, 0.113333f, 0.125254f, 0.137529f, 0.150144f, 0.163088f, 0.176351f, + 0.189924f, 0.203799f, 0.217970f, 0.232433f, 0.247182f, 0.262216f, 0.277530f, 0.293124f, + 0.308997f, 0.325149f, 0.341581f, 0.358294f, 0.375290f, 0.392573f, 0.410148f, 0.428019f, + 0.446192f, 0.464676f, 0.483478f, 0.502608f, 0.522079f, 0.541905f, 0.562100f, 0.582684f, + 0.603677f, 0.625106f, 0.646998f, 0.669390f, 0.692324f, 0.715849f, 0.740028f, 0.764937f, + 0.790673f, 0.817358f, 0.845150f, 0.874244f, 0.904828f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.002001f, 0.005278f, 0.009840f, 0.015475f, + 0.022025f, 0.029365f, 0.037402f, 0.046060f, 0.055280f, 0.065013f, 0.075218f, 0.085861f, + 0.096916f, 0.108356f, 0.120163f, 0.132319f, 0.144808f, 0.157618f, 0.170737f, 0.184155f, + 0.197866f, 0.211861f, 0.226134f, 0.240682f, 0.255499f, 0.270583f, 0.285931f, 0.301542f, + 0.317415f, 0.333550f, 0.349948f, 0.366610f, 0.383539f, 0.400738f, 0.418210f, 0.435961f, + 0.453997f, 0.472324f, 0.490951f, 0.509887f, 0.529144f, 0.548735f, 0.568674f, 0.588979f, + 0.609671f, 0.630773f, 0.652314f, 0.674328f, 0.696854f, 0.719942f, 0.743651f, 0.768057f, + 0.793253f, 0.819363f, 0.846547f, 0.875017f, 0.905021f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000642f, 0.003053f, 0.007010f, 0.012219f, 0.018462f, + 0.025577f, 0.033444f, 0.041970f, 0.051082f, 0.060724f, 0.070849f, 0.081417f, 0.092397f, + 0.103763f, 0.115491f, 0.127562f, 0.139960f, 0.152670f, 0.165679f, 0.178979f, 0.192558f, + 0.206410f, 0.220529f, 0.234907f, 0.249542f, 0.264428f, 0.279564f, 0.294947f, 0.310575f, + 0.326448f, 0.342566f, 0.358929f, 0.375540f, 0.392399f, 0.409511f, 0.426878f, 0.444506f, + 0.462400f, 0.480566f, 0.499013f, 0.517749f, 0.536785f, 0.556134f, 0.575809f, 0.595827f, + 0.616207f, 0.636973f, 0.658150f, 0.679772f, 0.701876f, 0.724509f, 0.747730f, 0.771609f, + 0.796240f, 0.821743f, 0.848280f, 0.876069f, 0.905404f, 0.936508f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000020f, 0.001278f, 0.004450f, 0.009147f, 0.015050f, 0.021937f, + 0.029649f, 0.038068f, 0.047106f, 0.056694f, 0.066777f, 0.077310f, 0.088257f, 0.099588f, + 0.111277f, 0.123304f, 0.135650f, 0.148299f, 0.161237f, 0.174455f, 0.187941f, 0.201687f, + 0.215687f, 0.229933f, 0.244420f, 0.259145f, 0.274103f, 0.289293f, 0.304711f, 0.320357f, + 0.336230f, 0.352330f, 0.368658f, 0.385214f, 0.402002f, 0.419023f, 0.436282f, 0.453782f, + 0.471529f, 0.489528f, 0.507788f, 0.526317f, 0.545124f, 0.564221f, 0.583621f, 0.603341f, + 0.623397f, 0.643812f, 0.664611f, 0.685824f, 0.707488f, 0.729646f, 0.752354f, 0.775680f, + 0.799715f, 0.824574f, 0.850417f, 0.877466f, 0.906040f, 0.936528f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000183f, 0.002253f, 0.006282f, 0.011786f, 0.018436f, 0.026011f, + 0.034358f, 0.043364f, 0.052944f, 0.063033f, 0.073580f, 0.084544f, 0.095889f, 0.107588f, + 0.119617f, 0.131957f, 0.144591f, 0.157503f, 0.170682f, 0.184117f, 0.197799f, 0.211720f, + 0.225873f, 0.240253f, 0.254854f, 0.269673f, 0.284707f, 0.299953f, 0.315408f, 0.331073f, + 0.346946f, 0.363028f, 0.379318f, 0.395818f, 0.412530f, 0.429457f, 0.446602f, 0.463968f, + 0.481561f, 0.499386f, 0.517450f, 0.535761f, 0.554328f, 0.573162f, 0.592275f, 0.611681f, + 0.631398f, 0.651445f, 0.671845f, 0.692628f, 0.713827f, 0.735484f, 0.757650f, 0.780390f, + 0.803789f, 0.827960f, 0.853056f, 0.879298f, 0.907014f, 0.936691f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.000617f, 0.003679f, 0.008674f, 0.015068f, 0.022531f, 0.030851f, + 0.039880f, 0.049515f, 0.059675f, 0.070300f, 0.081343f, 0.092764f, 0.104533f, 0.116624f, + 0.129015f, 0.141687f, 0.154626f, 0.167818f, 0.181252f, 0.194918f, 0.208807f, 0.222913f, + 0.237229f, 0.251750f, 0.266473f, 0.281392f, 0.296505f, 0.311811f, 0.327306f, 0.342991f, + 0.358864f, 0.374925f, 0.391176f, 0.407616f, 0.424249f, 0.441076f, 0.458100f, 0.475324f, + 0.492754f, 0.510394f, 0.528251f, 0.546331f, 0.564644f, 0.583198f, 0.602005f, 0.621078f, + 0.640434f, 0.660089f, 0.680066f, 0.700390f, 0.721094f, 0.742215f, 0.763800f, 0.785912f, + 0.808628f, 0.832055f, 0.856338f, 0.881690f, 0.908441f, 0.937125f, 0.968254f, 1.000000f, + 0.000000f, 0.000000f, 0.001477f, 0.005732f, 0.011826f, 0.019212f, 0.027573f, 0.036710f, + 0.046487f, 0.056807f, 0.067598f, 0.078806f, 0.090386f, 0.102304f, 0.114532f, 0.127047f, + 0.139828f, 0.152861f, 0.166130f, 0.179624f, 0.193332f, 0.207247f, 0.221360f, 0.235666f, + 0.250158f, 0.264832f, 0.279684f, 0.294711f, 0.309911f, 0.325280f, 0.340819f, 0.356524f, + 0.372397f, 0.388438f, 0.404645f, 0.421022f, 0.437569f, 0.454287f, 0.471181f, 0.488253f, + 0.505507f, 0.522947f, 0.540580f, 0.558412f, 0.576449f, 0.594701f, 0.613178f, 0.631892f, + 0.650856f, 0.670088f, 0.689606f, 0.709434f, 0.729600f, 0.750138f, 0.771093f, 0.792519f, + 0.814488f, 0.837097f, 0.860481f, 0.884842f, 0.910494f, 0.937985f, 0.968254f, 1.000000f, + 0.000000f, 0.000096f, 0.003012f, 0.008704f, 0.016071f, 0.024590f, 0.033968f, 0.044025f, + 0.054641f, 0.065728f, 0.077225f, 0.089081f, 0.101260f, 0.113731f, 0.126469f, 0.139454f, + 0.152670f, 0.166101f, 0.179736f, 0.193565f, 0.207578f, 0.221769f, 0.236130f, 0.250656f, + 0.265343f, 0.280187f, 0.295183f, 0.310330f, 0.325624f, 0.341065f, 0.356650f, 0.372380f, + 0.388253f, 0.404269f, 0.420430f, 0.436735f, 0.453187f, 0.469786f, 0.486536f, 0.503439f, + 0.520498f, 0.537717f, 0.555102f, 0.572657f, 0.590390f, 0.608307f, 0.626419f, 0.644733f, + 0.663264f, 0.682025f, 0.701032f, 0.720308f, 0.739875f, 0.759764f, 0.780014f, 0.800673f, + 0.821803f, 0.843492f, 0.865860f, 0.889087f, 0.913466f, 0.939520f, 0.968350f, 1.000000f, + 0.000000f, 0.000727f, 0.005696f, 0.013170f, 0.022074f, 0.031940f, 0.042520f, 0.053660f, + 0.065258f, 0.077243f, 0.089562f, 0.102175f, 0.115050f, 0.128164f, 0.141495f, 0.155026f, + 0.168745f, 0.182639f, 0.196699f, 0.210915f, 0.225282f, 0.239792f, 0.254440f, 0.269223f, + 0.284135f, 0.299174f, 0.314337f, 0.329622f, 0.345026f, 0.360549f, 0.376189f, 0.391946f, + 0.407819f, 0.423808f, 0.439914f, 0.456137f, 0.472479f, 0.488940f, 0.505523f, 0.522230f, + 0.539064f, 0.556028f, 0.573125f, 0.590361f, 0.607741f, 0.625270f, 0.642957f, 0.660809f, + 0.678836f, 0.697050f, 0.715465f, 0.734098f, 0.752968f, 0.772101f, 0.791529f, 0.811290f, + 0.831438f, 0.852044f, 0.873210f, 0.895090f, 0.917932f, 0.942204f, 0.968981f, 1.000000f, + 0.000000f, 0.002796f, 0.010764f, 0.020645f, 0.031576f, 0.043202f, 0.055340f, 0.067877f, + 0.080740f, 0.093877f, 0.107250f, 0.120832f, 0.134598f, 0.148533f, 0.162620f, 0.176849f, + 0.191210f, 0.205694f, 0.220294f, 0.235005f, 0.249820f, 0.264737f, 0.279751f, 0.294859f, + 0.310058f, 0.325346f, 0.340721f, 0.356181f, 0.371725f, 0.387353f, 0.403063f, 0.418854f, + 0.434727f, 0.450682f, 0.466718f, 0.482837f, 0.499038f, 0.515324f, 0.531695f, 0.548153f, + 0.564700f, 0.581338f, 0.598070f, 0.614900f, 0.631830f, 0.648865f, 0.666011f, 0.683273f, + 0.700659f, 0.718176f, 0.735834f, 0.753646f, 0.771625f, 0.789790f, 0.808162f, 0.826771f, + 0.845654f, 0.864863f, 0.884472f, 0.904592f, 0.925407f, 0.947271f, 0.971050f, 1.000000f, + 0.000000f, 0.015873f, 0.031746f, 0.047619f, 0.063492f, 0.079365f, 0.095238f, 0.111111f, + 0.126984f, 0.142857f, 0.158730f, 0.174603f, 0.190476f, 0.206349f, 0.222222f, 0.238095f, + 0.253968f, 0.269841f, 0.285714f, 0.301587f, 0.317460f, 0.333333f, 0.349206f, 0.365079f, + 0.380952f, 0.396825f, 0.412698f, 0.428571f, 0.444444f, 0.460317f, 0.476190f, 0.492063f, + 0.507937f, 0.523810f, 0.539683f, 0.555556f, 0.571429f, 0.587302f, 0.603175f, 0.619048f, + 0.634921f, 0.650794f, 0.666667f, 0.682540f, 0.698413f, 0.714286f, 0.730159f, 0.746032f, + 0.761905f, 0.777778f, 0.793651f, 0.809524f, 0.825397f, 0.841270f, 0.857143f, 0.873016f, + 0.888889f, 0.904762f, 0.920635f, 0.936508f, 0.952381f, 0.968254f, 0.984127f, 1.000000f, }; static float btdf_split_sum_ggx[32][64 * 64] = { - { - 0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, - 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.039917f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, - }, - { - 0.000122f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000122f, 0.004147f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.897949f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000732f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002439f, - 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000366f, 0.078308f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.001098f, 0.992188f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.005001f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.902344f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.002928f, 0.997070f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.301758f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.002562f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.433594f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000244f, 0.004021f, 0.996582f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001098f, 0.949219f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000610f, - 0.012039f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.002073f, 0.993652f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000854f, 0.725586f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000610f, 0.011856f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.002905f, 0.995117f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.001098f, 0.978027f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.314941f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000731f, 0.017670f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.005852f, 0.997559f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.003050f, - 0.996094f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001957f, 0.993652f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001586f, 0.990234f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.001220f, 0.986816f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.001220f, 0.984375f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, - 0.001098f, 0.985352f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.001220f, 0.989258f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.001341f, 0.993652f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.001586f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.002802f, 0.997559f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000122f, 0.000122f, - 0.000243f, 0.006088f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.026321f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.892578f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000975f, 0.993652f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.002317f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.017944f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000731f, 0.983887f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, 0.001653f, 0.998535f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.026108f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000732f, 0.995605f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.003777f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000365f, 0.991211f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002195f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000364f, 0.993164f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002672f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000360f, 0.998047f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.017075f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000731f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.997070f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.006874f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000480f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.996582f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000067f, 0.005440f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000365f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.995605f, 0.995117f, - 0.995117f, 0.995605f, 0.995117f, 0.995117f, - }, - { - 0.003168f, 0.995605f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000976f, 0.053314f, 0.994629f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000122f, 0.000122f, 0.000732f, 0.003660f, - 0.653809f, 0.995117f, 0.998047f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.001463f, 0.010452f, 0.947266f, 0.995605f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000853f, 0.002928f, 0.037750f, - 0.980957f, 0.996582f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000243f, 0.000610f, 0.001342f, 0.006100f, 0.314453f, 0.989746f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, 0.001091f, 0.002317f, 0.015839f, 0.910645f, - 0.993652f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000366f, 0.000732f, 0.001463f, 0.005302f, 0.068909f, 0.977539f, 0.995605f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000732f, 0.001098f, 0.002560f, 0.011551f, 0.658691f, 0.989746f, - 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, - 0.000732f, 0.001585f, 0.004868f, 0.041077f, 0.958984f, 0.994141f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000732f, 0.001215f, 0.002802f, 0.010834f, 0.441895f, 0.987305f, 0.996094f, - 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000488f, 0.000850f, - 0.001586f, 0.004753f, 0.039154f, 0.948242f, 0.993652f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000732f, 0.001220f, 0.003159f, 0.012032f, 0.480713f, 0.985840f, 0.996094f, 0.998047f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000731f, 0.001097f, 0.001950f, - 0.005966f, 0.054413f, 0.957520f, 0.994141f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000486f, 0.000732f, 0.001534f, 0.003536f, 0.016937f, 0.726562f, 0.988281f, 0.996582f, 0.998047f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000732f, 0.001098f, 0.002192f, 0.008278f, - 0.125244f, 0.974121f, 0.994629f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000365f, 0.000731f, 0.000947f, 0.001828f, 0.005314f, 0.031677f, 0.916016f, 0.991699f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, 0.001339f, 0.003294f, 0.014389f, 0.562012f, - 0.985840f, 0.996094f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, - 0.000732f, 0.001098f, 0.002310f, 0.008163f, 0.123779f, 0.973633f, 0.994629f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000732f, 0.001097f, 0.002071f, 0.005669f, 0.041199f, 0.937988f, 0.992676f, - 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000728f, 0.000732f, - 0.001585f, 0.004143f, 0.020813f, 0.813965f, 0.989746f, 0.996582f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, 0.001220f, 0.003292f, 0.012581f, 0.446533f, 0.984863f, 0.996094f, 0.998047f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000471f, 0.000732f, 0.001220f, 0.002796f, - 0.009338f, 0.161865f, 0.977051f, 0.995117f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000365f, 0.000732f, 0.001098f, 0.002285f, 0.006870f, 0.074097f, 0.965820f, 0.994141f, 0.997559f, 0.998535f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000731f, 0.001086f, 0.001945f, 0.005238f, 0.043732f, - 0.947754f, 0.993652f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, - 0.000730f, 0.000893f, 0.001826f, 0.004871f, 0.030411f, 0.922852f, 0.992188f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000609f, 0.000732f, 0.001407f, 0.004375f, 0.023758f, 0.892090f, 0.992188f, - 0.997070f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000605f, 0.000732f, - 0.001579f, 0.003941f, 0.020767f, 0.862793f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000238f, 0.000483f, 0.000732f, 0.001449f, 0.003654f, 0.018951f, 0.847656f, 0.991699f, 0.997559f, 0.998535f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000233f, 0.000485f, 0.000732f, 0.001308f, 0.003353f, - 0.018997f, 0.855469f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000118f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000487f, 0.000732f, 0.001292f, 0.003649f, 0.019791f, 0.881836f, 0.992188f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000432f, 0.000732f, 0.001220f, 0.003635f, 0.021912f, 0.916992f, - 0.993652f, 0.997559f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000116f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, - 0.000732f, 0.001245f, 0.004002f, 0.028107f, 0.946289f, 0.994141f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000085f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000475f, 0.000732f, 0.001611f, 0.004581f, 0.040466f, 0.966309f, 0.995605f, 0.998535f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, 0.000732f, 0.001703f, - 0.005589f, 0.073486f, 0.979980f, 0.996094f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000475f, 0.000732f, 0.001706f, 0.006809f, 0.198730f, 0.987305f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, 0.002071f, 0.009590f, 0.647949f, - 0.992188f, 0.997559f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000710f, 0.001093f, 0.002541f, 0.015533f, 0.922852f, 0.995117f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000728f, 0.001218f, 0.003387f, 0.034454f, 0.975586f, 0.996582f, 0.998535f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000731f, 0.001219f, - 0.004959f, 0.161865f, 0.989746f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000366f, 0.000731f, 0.001767f, 0.009331f, 0.849121f, 0.994629f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, 0.000732f, 0.002644f, 0.024231f, 0.977051f, - 0.997559f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000685f, 0.001217f, 0.004139f, 0.195435f, 0.992676f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000362f, 0.000731f, 0.001570f, 0.010086f, 0.944824f, 0.997070f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000745f, 0.002781f, - 0.051758f, 0.990723f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000599f, 0.001176f, 0.006641f, 0.899414f, 0.997070f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000731f, 0.002066f, 0.032654f, 0.991211f, 0.998535f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000448f, - 0.001088f, 0.005440f, 0.918457f, 0.997070f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000725f, 0.001822f, 0.038452f, 0.994141f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000329f, 0.000848f, 0.005672f, 0.972168f, - 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000581f, 0.001982f, 0.155273f, 0.997070f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000330f, 0.000848f, 0.009247f, 0.992676f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000589f, 0.002625f, - 0.958496f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.001199f, 0.083374f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000716f, 0.007244f, 0.996582f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.002277f, 0.991211f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000070f, 0.000121f, 0.000122f, 0.000122f, 0.000854f, 0.950684f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000121f, 0.000122f, 0.000475f, 0.067139f, 0.999512f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000122f, - 0.000002f, 0.005859f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000014f, 0.001376f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000572f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000077f, 0.000002f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000103f, 0.992188f, 0.991699f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.940430f, 0.940430f, - 0.940918f, 0.940918f, 0.940430f, 0.940430f, - }, - { - 0.014023f, 0.979492f, 0.994629f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000488f, 0.004757f, 0.163330f, 0.975098f, 0.993164f, 0.996582f, 0.997559f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000610f, 0.002928f, 0.017166f, - 0.563965f, 0.978027f, 0.992676f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000364f, 0.000732f, 0.002192f, 0.006573f, 0.044952f, 0.830566f, 0.980957f, 0.992676f, 0.996094f, 0.997070f, 0.998047f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000366f, 0.000854f, 0.001586f, 0.004253f, 0.014313f, 0.130371f, - 0.919922f, 0.984375f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000488f, - 0.000854f, 0.001342f, 0.003025f, 0.007305f, 0.028870f, 0.407715f, 0.954590f, 0.987305f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000609f, 0.000842f, 0.000976f, 0.002193f, 0.005112f, 0.012505f, 0.066589f, 0.768066f, - 0.970703f, 0.989746f, 0.994629f, 0.996582f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000244f, 0.000599f, 0.000609f, 0.000976f, - 0.001829f, 0.003046f, 0.007256f, 0.023499f, 0.194946f, 0.908691f, 0.979980f, 0.991699f, 0.995117f, 0.996582f, 0.997559f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000244f, 0.000488f, 0.000609f, 0.000976f, 0.001583f, 0.002647f, 0.004726f, 0.012169f, 0.050537f, 0.568359f, 0.954102f, - 0.985840f, 0.993164f, 0.995605f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000488f, 0.000610f, 0.000975f, 0.001211f, 0.001946f, - 0.003532f, 0.007793f, 0.022446f, 0.139648f, 0.856445f, 0.974121f, 0.989746f, 0.994141f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, - 0.000310f, 0.000609f, 0.000807f, 0.001098f, 0.001822f, 0.002794f, 0.005699f, 0.012878f, 0.047821f, 0.469238f, 0.941406f, 0.982910f, - 0.991699f, 0.995117f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000244f, 0.000609f, 0.000732f, 0.001098f, 0.001461f, 0.002274f, 0.004025f, - 0.008247f, 0.023254f, 0.135254f, 0.833984f, 0.969727f, 0.987793f, 0.993652f, 0.995605f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000207f, 0.000244f, 0.000609f, - 0.000610f, 0.001096f, 0.001098f, 0.002071f, 0.003370f, 0.006172f, 0.014442f, 0.052795f, 0.486572f, 0.940430f, 0.981934f, 0.991699f, - 0.994629f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000485f, 0.000610f, 0.001080f, 0.001098f, 0.001742f, 0.002668f, 0.004692f, 0.010147f, - 0.028076f, 0.168701f, 0.854004f, 0.970703f, 0.988770f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000487f, 0.000610f, 0.000731f, - 0.001098f, 0.001413f, 0.002411f, 0.003895f, 0.007072f, 0.017242f, 0.069580f, 0.605957f, 0.948730f, 0.983398f, 0.992188f, 0.995117f, - 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000244f, 0.000244f, 0.000609f, 0.000610f, 0.001094f, 0.001337f, 0.001828f, 0.003275f, 0.005814f, 0.012054f, 0.036987f, - 0.270752f, 0.899414f, 0.975586f, 0.989746f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, 0.000365f, 0.000597f, 0.000610f, 0.000970f, 0.001098f, - 0.001815f, 0.002771f, 0.005009f, 0.008888f, 0.023804f, 0.115845f, 0.775879f, 0.962891f, 0.986328f, 0.993164f, 0.995605f, 0.997070f, - 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000244f, 0.000536f, 0.000731f, 0.000937f, 0.001203f, 0.001581f, 0.002186f, 0.004005f, 0.007061f, 0.016830f, 0.061218f, 0.522949f, - 0.940430f, 0.981934f, 0.991211f, 0.994629f, 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000363f, 0.000487f, 0.000731f, 0.000732f, 0.001097f, 0.001339f, 0.002071f, - 0.003498f, 0.005947f, 0.012390f, 0.037964f, 0.268799f, 0.896973f, 0.975586f, 0.989258f, 0.994141f, 0.996094f, 0.997070f, 0.998047f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000366f, - 0.000609f, 0.000610f, 0.001094f, 0.001215f, 0.002056f, 0.003183f, 0.004742f, 0.009880f, 0.026337f, 0.139526f, 0.813477f, 0.966309f, - 0.986816f, 0.993164f, 0.996094f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000163f, 0.000363f, 0.000600f, 0.000731f, 0.001088f, 0.001216f, 0.001616f, 0.002640f, 0.004402f, - 0.008156f, 0.019669f, 0.083191f, 0.664062f, 0.953125f, 0.984375f, 0.992188f, 0.995117f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000244f, 0.000523f, 0.000731f, - 0.000732f, 0.001097f, 0.001690f, 0.002169f, 0.003998f, 0.006939f, 0.015808f, 0.055634f, 0.471191f, 0.935059f, 0.980957f, 0.991211f, - 0.995117f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000336f, 0.000486f, 0.000731f, 0.000732f, 0.001097f, 0.001558f, 0.002069f, 0.003525f, 0.006058f, 0.013062f, - 0.040894f, 0.306396f, 0.910156f, 0.978027f, 0.990234f, 0.994141f, 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000113f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000360f, 0.000515f, 0.000731f, 0.000731f, 0.001094f, - 0.001219f, 0.002148f, 0.003159f, 0.005577f, 0.011360f, 0.031952f, 0.203979f, 0.874512f, 0.973633f, 0.989258f, 0.994141f, 0.996582f, - 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000325f, 0.000366f, 0.000731f, 0.000731f, 0.001093f, 0.001219f, 0.001820f, 0.002916f, 0.005291f, 0.009758f, 0.026352f, 0.145020f, - 0.832520f, 0.969238f, 0.988281f, 0.993652f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000440f, 0.000605f, 0.000731f, 0.001086f, 0.001097f, 0.001646f, - 0.002670f, 0.004230f, 0.008835f, 0.022415f, 0.112183f, 0.786133f, 0.966309f, 0.987793f, 0.993652f, 0.996094f, 0.997559f, 0.998047f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000272f, 0.000358f, - 0.000565f, 0.000731f, 0.000790f, 0.001210f, 0.001573f, 0.002434f, 0.004360f, 0.008102f, 0.020660f, 0.092896f, 0.741699f, 0.962891f, - 0.987305f, 0.993164f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000364f, 0.000723f, 0.000731f, 0.000731f, 0.001216f, 0.001698f, 0.002510f, 0.003998f, - 0.007484f, 0.018463f, 0.082336f, 0.709961f, 0.961426f, 0.986816f, 0.993652f, 0.996094f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000362f, 0.000704f, 0.000730f, - 0.000845f, 0.001096f, 0.001513f, 0.002302f, 0.003941f, 0.007168f, 0.017746f, 0.076782f, 0.693848f, 0.961426f, 0.987305f, 0.993652f, - 0.996094f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000364f, 0.000579f, 0.000728f, 0.000731f, 0.001096f, 0.001491f, 0.002069f, 0.003899f, 0.007195f, 0.017059f, - 0.075439f, 0.701172f, 0.962402f, 0.987793f, 0.993652f, 0.996094f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000357f, 0.000482f, 0.000730f, 0.000731f, 0.001094f, - 0.001334f, 0.002230f, 0.003708f, 0.007217f, 0.017410f, 0.079163f, 0.730469f, 0.965820f, 0.988281f, 0.994141f, 0.996582f, 0.998047f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, - 0.000243f, 0.000365f, 0.000729f, 0.000731f, 0.001095f, 0.001330f, 0.002066f, 0.003637f, 0.007118f, 0.018112f, 0.087708f, 0.775391f, - 0.969238f, 0.989258f, 0.994629f, 0.997070f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000073f, 0.000121f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000323f, 0.000390f, 0.000729f, 0.000731f, 0.001094f, 0.001332f, 0.002275f, - 0.003782f, 0.007252f, 0.019379f, 0.105042f, 0.827637f, 0.973145f, 0.990723f, 0.994629f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000114f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000369f, - 0.000729f, 0.000731f, 0.001093f, 0.001330f, 0.002209f, 0.003937f, 0.007896f, 0.021805f, 0.137207f, 0.876953f, 0.979004f, 0.991699f, - 0.995605f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000272f, 0.000479f, 0.000727f, 0.000731f, 0.001085f, 0.001331f, 0.002291f, 0.004105f, 0.008446f, - 0.025024f, 0.202271f, 0.916504f, 0.982910f, 0.993164f, 0.996094f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000120f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000360f, 0.000469f, 0.000681f, 0.000731f, - 0.001092f, 0.001331f, 0.002184f, 0.004227f, 0.009521f, 0.030899f, 0.335205f, 0.945312f, 0.986816f, 0.993652f, 0.996582f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000241f, 0.000429f, 0.000726f, 0.000731f, 0.001091f, 0.001649f, 0.002464f, 0.004810f, 0.010895f, 0.041931f, 0.563477f, - 0.963867f, 0.989746f, 0.995117f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000101f, 0.000120f, - 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000288f, 0.000481f, 0.000720f, 0.000731f, 0.001093f, 0.001571f, - 0.002735f, 0.005405f, 0.013199f, 0.064880f, 0.786133f, 0.976562f, 0.992188f, 0.995605f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, - 0.000481f, 0.000727f, 0.000731f, 0.001093f, 0.001655f, 0.003132f, 0.005909f, 0.017181f, 0.123169f, 0.904297f, 0.984375f, 0.993652f, - 0.996582f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000120f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000264f, 0.000392f, 0.000727f, 0.000835f, 0.001196f, 0.001765f, 0.003252f, 0.007343f, - 0.024521f, 0.304199f, 0.954102f, 0.989258f, 0.995605f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000034f, 0.000119f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000235f, 0.000375f, 0.000728f, - 0.000822f, 0.001095f, 0.002024f, 0.003952f, 0.009193f, 0.040894f, 0.694824f, 0.975586f, 0.992676f, 0.996582f, 0.998047f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000121f, 0.000121f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000307f, 0.000475f, 0.000728f, 0.000943f, 0.001216f, 0.002283f, 0.004829f, 0.013008f, 0.092224f, 0.908203f, - 0.986328f, 0.995117f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000073f, 0.000118f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000576f, 0.000728f, 0.001073f, 0.001569f, - 0.002668f, 0.005947f, 0.020889f, 0.331543f, 0.965820f, 0.992188f, 0.996582f, 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000100f, 0.000120f, 0.000121f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000362f, 0.000630f, 0.000729f, 0.001087f, 0.001567f, 0.003241f, 0.008240f, 0.043793f, 0.824219f, 0.984375f, 0.994629f, 0.997559f, - 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000075f, 0.000119f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000363f, 0.000689f, 0.000730f, 0.001185f, 0.002022f, 0.004108f, 0.013702f, - 0.161011f, 0.957031f, 0.991699f, 0.996582f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000105f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000156f, 0.000372f, 0.000689f, - 0.000730f, 0.001198f, 0.002651f, 0.006214f, 0.028854f, 0.750000f, 0.984375f, 0.995605f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000102f, - 0.000118f, 0.000120f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000472f, 0.000724f, 0.000966f, 0.001658f, 0.003397f, 0.010582f, 0.116028f, 0.959473f, 0.993164f, - 0.997559f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000119f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000130f, 0.000479f, 0.000726f, 0.001163f, 0.002157f, - 0.004829f, 0.024338f, 0.776855f, 0.987793f, 0.996582f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000097f, 0.000117f, - 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000219f, 0.000580f, 0.000728f, 0.001203f, 0.002872f, 0.009109f, 0.130371f, 0.972168f, 0.995117f, 0.998047f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000333f, 0.000681f, 0.000940f, 0.001629f, 0.004120f, 0.025467f, 0.890625f, - 0.991699f, 0.997559f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000083f, 0.000116f, 0.000120f, - 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000353f, 0.000722f, - 0.000961f, 0.002403f, 0.009354f, 0.295166f, 0.985840f, 0.997070f, 0.999512f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000105f, 0.000118f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000130f, 0.000427f, 0.000605f, 0.001345f, 0.004620f, 0.041229f, 0.966797f, 0.996094f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000074f, 0.000114f, 0.000119f, 0.000121f, - 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000089f, 0.000562f, 0.000942f, 0.002352f, 0.012459f, - 0.854004f, 0.994141f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000103f, 0.000117f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000007f, 0.000002f, - 0.000231f, 0.000596f, 0.001180f, 0.005474f, 0.211426f, 0.991211f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000118f, 0.000120f, 0.000121f, - 0.000121f, 0.000122f, 0.000029f, 0.000004f, 0.000001f, 0.000348f, 0.000896f, 0.002764f, 0.032562f, 0.984375f, 0.998535f, 0.998535f, - 0.999023f, 0.998535f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000089f, 0.000116f, 0.000119f, 0.000121f, 0.000121f, 0.000121f, 0.000013f, 0.000003f, 0.000075f, 0.000586f, 0.001508f, - 0.010292f, 0.963379f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000107f, 0.000118f, 0.000120f, 0.000121f, 0.000116f, - 0.000008f, 0.000002f, 0.000233f, 0.000857f, 0.004566f, 0.834961f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000083f, 0.000114f, 0.000119f, 0.000120f, 0.000060f, 0.000005f, 0.000001f, 0.000557f, 0.002064f, 0.182373f, 0.997559f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000103f, 0.000117f, 0.000120f, 0.000024f, 0.000003f, 0.000168f, - 0.000968f, 0.026428f, 0.996582f, 0.997070f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000047f, - 0.000110f, 0.000118f, 0.000017f, 0.000002f, 0.000513f, 0.006870f, 0.995605f, 0.995605f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000096f, 0.000115f, 0.000011f, 0.000042f, 0.001919f, 0.992676f, 0.992676f, - 0.992676f, 0.992676f, 0.992676f, 0.992676f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000044f, 0.000109f, - 0.000008f, 0.000314f, 0.985840f, 0.985840f, 0.985840f, 0.985840f, 0.986328f, 0.985840f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000089f, 0.000060f, 0.964355f, 0.964355f, 0.963867f, 0.963867f, 0.963379f, 0.964355f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000022f, 0.818848f, 0.819824f, - 0.819336f, 0.819824f, 0.819824f, 0.819824f, - }, - { - 0.038849f, 0.941406f, 0.984375f, 0.992188f, 0.994141f, 0.996094f, 0.996582f, 0.997070f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.001582f, 0.014984f, 0.262451f, 0.930664f, 0.979980f, 0.989258f, 0.993164f, 0.995117f, - 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.000244f, 0.002317f, 0.009003f, 0.047180f, - 0.524902f, 0.936523f, 0.978027f, 0.988281f, 0.992188f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, - 0.000122f, 0.001098f, 0.002560f, 0.006824f, 0.020493f, 0.108826f, 0.715820f, 0.946289f, 0.978516f, 0.988281f, 0.992188f, 0.994141f, - 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000607f, 0.001098f, 0.002310f, 0.005646f, 0.012825f, 0.040131f, 0.231201f, - 0.825195f, 0.954590f, 0.979980f, 0.988281f, 0.992188f, 0.994141f, 0.995117f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000244f, 0.000609f, 0.001341f, - 0.002310f, 0.004208f, 0.008865f, 0.021591f, 0.074585f, 0.439209f, 0.885742f, 0.962402f, 0.981934f, 0.989258f, 0.992676f, 0.994141f, - 0.995605f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, - 0.000000f, 0.000122f, 0.000483f, 0.000610f, 0.001460f, 0.002192f, 0.003994f, 0.007030f, 0.013847f, 0.036316f, 0.146362f, 0.661621f, - 0.921875f, 0.969238f, 0.983398f, 0.989746f, 0.993164f, 0.994141f, 0.995605f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000243f, 0.000604f, 0.000730f, 0.001307f, 0.001944f, 0.003017f, - 0.004997f, 0.009834f, 0.021606f, 0.063416f, 0.295410f, 0.808594f, 0.944336f, 0.974609f, 0.985352f, 0.990234f, 0.993652f, 0.995117f, - 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000366f, - 0.000495f, 0.000731f, 0.001217f, 0.001823f, 0.002796f, 0.004398f, 0.007656f, 0.015366f, 0.035828f, 0.119263f, 0.531738f, 0.886230f, - 0.958496f, 0.979004f, 0.986816f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000244f, 0.000366f, 0.000607f, 0.000731f, 0.001211f, 0.001650f, 0.002441f, 0.003975f, 0.006207f, - 0.011536f, 0.023315f, 0.060822f, 0.242798f, 0.744141f, 0.927734f, 0.969238f, 0.982422f, 0.989258f, 0.992188f, 0.994141f, 0.995605f, - 0.996094f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000211f, 0.000455f, 0.000486f, 0.000853f, - 0.001081f, 0.001810f, 0.002426f, 0.003759f, 0.005501f, 0.009094f, 0.016876f, 0.037109f, 0.114075f, 0.475586f, 0.862305f, 0.951172f, - 0.975586f, 0.985840f, 0.990234f, 0.992676f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000364f, 0.000366f, 0.000464f, 0.000731f, 0.001093f, 0.001577f, 0.002235f, 0.002798f, 0.004841f, 0.007637f, 0.013008f, - 0.025635f, 0.063965f, 0.238403f, 0.720215f, 0.919434f, 0.965820f, 0.981445f, 0.987793f, 0.991211f, 0.993652f, 0.995117f, 0.996094f, - 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000238f, 0.000609f, 0.000712f, 0.000974f, 0.000976f, 0.001507f, - 0.002031f, 0.002680f, 0.004066f, 0.006294f, 0.010284f, 0.018326f, 0.040924f, 0.124146f, 0.485596f, 0.859375f, 0.949707f, 0.975586f, - 0.984375f, 0.989746f, 0.992676f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000113f, 0.000487f, - 0.000488f, 0.000610f, 0.000961f, 0.000976f, 0.001337f, 0.001705f, 0.002663f, 0.003521f, 0.005417f, 0.008408f, 0.014809f, 0.028793f, - 0.073120f, 0.270996f, 0.741699f, 0.922363f, 0.965332f, 0.980957f, 0.987793f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.997070f, - 0.997070f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000244f, 0.000224f, 0.000486f, 0.000609f, 0.000610f, 0.000973f, 0.000975f, 0.001306f, 0.001703f, 0.002350f, - 0.003239f, 0.004848f, 0.007122f, 0.011955f, 0.021820f, 0.048859f, 0.152710f, 0.554199f, 0.875977f, 0.953125f, 0.976562f, 0.985352f, - 0.990234f, 0.993164f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000234f, 0.000244f, 0.000485f, 0.000488f, 0.000610f, - 0.000969f, 0.000975f, 0.001335f, 0.001693f, 0.001991f, 0.002811f, 0.004097f, 0.006397f, 0.009903f, 0.017303f, 0.035034f, 0.094421f, - 0.354736f, 0.795898f, 0.933594f, 0.969238f, 0.981934f, 0.988281f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.997070f, 0.997559f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000244f, 0.000244f, 0.000480f, 0.000608f, 0.000488f, 0.000922f, 0.000975f, 0.000976f, 0.001339f, 0.001827f, 0.002674f, 0.003891f, - 0.005688f, 0.008324f, 0.014320f, 0.026917f, 0.064392f, 0.216431f, 0.668945f, 0.904785f, 0.959961f, 0.978516f, 0.986816f, 0.990723f, - 0.993652f, 0.994141f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000188f, 0.000220f, 0.000480f, 0.000608f, 0.000609f, 0.000876f, 0.000975f, - 0.000976f, 0.001454f, 0.002068f, 0.002649f, 0.003481f, 0.004757f, 0.007801f, 0.012230f, 0.021698f, 0.046814f, 0.138306f, 0.506348f, - 0.859375f, 0.947754f, 0.974121f, 0.984375f, 0.989746f, 0.992188f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, - 0.000446f, 0.000487f, 0.000609f, 0.000731f, 0.000973f, 0.000975f, 0.001310f, 0.001823f, 0.002304f, 0.002869f, 0.004890f, 0.006813f, - 0.010475f, 0.017731f, 0.036163f, 0.095337f, 0.353516f, 0.792480f, 0.932129f, 0.968262f, 0.982422f, 0.988770f, 0.992188f, 0.993652f, - 0.995605f, 0.996094f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000241f, 0.000362f, 0.000487f, 0.000609f, 0.000609f, 0.000973f, 0.001213f, 0.001419f, - 0.001807f, 0.002068f, 0.002794f, 0.004070f, 0.005917f, 0.009140f, 0.015129f, 0.029053f, 0.070068f, 0.242554f, 0.700684f, 0.911621f, - 0.961914f, 0.979492f, 0.987305f, 0.991211f, 0.993164f, 0.995117f, 0.995605f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000243f, 0.000483f, 0.000603f, - 0.000609f, 0.000730f, 0.001076f, 0.000975f, 0.001327f, 0.001598f, 0.002056f, 0.002848f, 0.003519f, 0.005589f, 0.008041f, 0.013321f, - 0.024155f, 0.054718f, 0.171875f, 0.590332f, 0.885742f, 0.955566f, 0.977051f, 0.985840f, 0.990723f, 0.993164f, 0.994629f, 0.995605f, - 0.997070f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000192f, 0.000122f, 0.000244f, 0.000483f, 0.000606f, 0.000608f, 0.000731f, 0.000953f, 0.001095f, 0.001258f, 0.001575f, 0.002066f, - 0.002594f, 0.003857f, 0.004734f, 0.007683f, 0.011642f, 0.021179f, 0.044464f, 0.127930f, 0.476807f, 0.850586f, 0.947266f, 0.974121f, - 0.984375f, 0.989746f, 0.992676f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000229f, 0.000239f, 0.000244f, 0.000343f, 0.000483f, 0.000608f, 0.000609f, - 0.000857f, 0.000973f, 0.001097f, 0.001571f, 0.002041f, 0.002399f, 0.002922f, 0.004471f, 0.006836f, 0.010643f, 0.018661f, 0.037354f, - 0.100037f, 0.378418f, 0.810547f, 0.937988f, 0.971191f, 0.983887f, 0.989258f, 0.992188f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, - 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000161f, - 0.000230f, 0.000244f, 0.000486f, 0.000607f, 0.000609f, 0.000819f, 0.000972f, 0.000975f, 0.001431f, 0.001945f, 0.002283f, 0.003031f, - 0.004238f, 0.006424f, 0.009995f, 0.016068f, 0.032104f, 0.081360f, 0.302246f, 0.765625f, 0.928223f, 0.968750f, 0.982422f, 0.988770f, - 0.992676f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000240f, 0.000244f, 0.000450f, 0.000607f, 0.000609f, 0.000731f, 0.001084f, - 0.000974f, 0.001341f, 0.001910f, 0.002254f, 0.003216f, 0.004017f, 0.005692f, 0.008980f, 0.014832f, 0.028854f, 0.069641f, 0.248657f, - 0.719238f, 0.918945f, 0.965820f, 0.981445f, 0.988770f, 0.992188f, 0.994629f, 0.995605f, 0.996094f, 0.997070f, 0.997559f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000360f, - 0.000461f, 0.000607f, 0.000608f, 0.000731f, 0.001086f, 0.001202f, 0.001307f, 0.001592f, 0.002066f, 0.003134f, 0.003990f, 0.005611f, - 0.008133f, 0.013680f, 0.025986f, 0.061462f, 0.211670f, 0.676758f, 0.910156f, 0.963867f, 0.980957f, 0.988281f, 0.991699f, 0.994629f, - 0.995605f, 0.996582f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000243f, 0.000482f, 0.000604f, 0.000608f, 0.000730f, 0.001040f, 0.001188f, 0.001287f, - 0.001574f, 0.002064f, 0.002613f, 0.003721f, 0.005428f, 0.008018f, 0.013161f, 0.024200f, 0.055573f, 0.186401f, 0.642578f, 0.904785f, - 0.962402f, 0.980469f, 0.987793f, 0.991699f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000480f, 0.000602f, - 0.000721f, 0.000705f, 0.000907f, 0.001094f, 0.001096f, 0.001493f, 0.002058f, 0.002607f, 0.003639f, 0.004826f, 0.007595f, 0.012413f, - 0.022171f, 0.051697f, 0.171143f, 0.619629f, 0.899414f, 0.961426f, 0.980957f, 0.987793f, 0.992188f, 0.994629f, 0.995605f, 0.996582f, - 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000172f, 0.000232f, 0.000243f, 0.000244f, 0.000576f, 0.000711f, 0.000608f, 0.000767f, 0.001089f, 0.001213f, 0.001509f, 0.002029f, - 0.002684f, 0.003550f, 0.005161f, 0.007107f, 0.011871f, 0.021545f, 0.049347f, 0.163086f, 0.609863f, 0.900391f, 0.962891f, 0.980957f, - 0.988281f, 0.992676f, 0.994629f, 0.996094f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000210f, 0.000122f, 0.000337f, 0.000290f, 0.000594f, 0.000726f, 0.000730f, - 0.000731f, 0.001090f, 0.001212f, 0.001506f, 0.002029f, 0.002335f, 0.003489f, 0.005077f, 0.007000f, 0.011398f, 0.021027f, 0.048218f, - 0.161133f, 0.614258f, 0.903809f, 0.963379f, 0.981934f, 0.988770f, 0.992188f, 0.994629f, 0.996094f, 0.997070f, 0.997559f, 0.998047f, - 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000281f, 0.000440f, 0.000683f, 0.000726f, 0.000730f, 0.000731f, 0.001087f, 0.001095f, 0.001485f, 0.001793f, 0.002214f, 0.002991f, - 0.004951f, 0.006912f, 0.011162f, 0.020905f, 0.048187f, 0.165527f, 0.633789f, 0.910156f, 0.965820f, 0.982422f, 0.989746f, 0.993164f, - 0.995117f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, 0.000243f, 0.000480f, 0.000725f, 0.000697f, 0.000731f, 0.001007f, - 0.001094f, 0.001360f, 0.001795f, 0.002161f, 0.003244f, 0.004871f, 0.006966f, 0.011330f, 0.020706f, 0.049591f, 0.178345f, 0.667969f, - 0.918457f, 0.968262f, 0.983887f, 0.990234f, 0.993652f, 0.995605f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000086f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000243f, - 0.000465f, 0.000592f, 0.000729f, 0.000730f, 0.001079f, 0.001093f, 0.001332f, 0.001885f, 0.002129f, 0.003254f, 0.004818f, 0.006889f, - 0.011429f, 0.021957f, 0.052521f, 0.201294f, 0.714355f, 0.929199f, 0.972168f, 0.985352f, 0.991211f, 0.994141f, 0.995605f, 0.997070f, - 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000115f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000184f, 0.000241f, 0.000347f, 0.000453f, 0.000579f, 0.000728f, 0.000729f, 0.001034f, 0.001093f, 0.001292f, - 0.001857f, 0.002131f, 0.003296f, 0.004826f, 0.006958f, 0.011726f, 0.023071f, 0.057983f, 0.239258f, 0.767578f, 0.939453f, 0.976074f, - 0.987305f, 0.992676f, 0.994629f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000088f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000191f, 0.000242f, 0.000425f, 0.000558f, - 0.000723f, 0.000730f, 0.001058f, 0.001092f, 0.001297f, 0.001653f, 0.002352f, 0.003124f, 0.004860f, 0.007072f, 0.012131f, 0.024551f, - 0.066406f, 0.300537f, 0.820312f, 0.951172f, 0.979492f, 0.988281f, 0.993164f, 0.995117f, 0.996582f, 0.997070f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, - 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000227f, 0.000239f, 0.000341f, 0.000359f, 0.000587f, 0.000605f, 0.000729f, 0.001040f, 0.001185f, 0.001275f, 0.001849f, 0.002390f, - 0.003399f, 0.005001f, 0.007404f, 0.012871f, 0.027237f, 0.079529f, 0.395264f, 0.868164f, 0.960938f, 0.982910f, 0.990234f, 0.993164f, - 0.995605f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000211f, 0.000239f, 0.000307f, 0.000394f, 0.000704f, 0.000711f, 0.000728f, - 0.001001f, 0.001088f, 0.001204f, 0.001713f, 0.002367f, 0.003151f, 0.004639f, 0.007820f, 0.014084f, 0.030609f, 0.102722f, 0.527344f, - 0.906250f, 0.969727f, 0.985840f, 0.991699f, 0.994629f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000115f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000196f, - 0.000332f, 0.000363f, 0.000686f, 0.000719f, 0.000723f, 0.000963f, 0.001089f, 0.001290f, 0.001849f, 0.002394f, 0.003458f, 0.004833f, - 0.008301f, 0.015579f, 0.036926f, 0.143188f, 0.676270f, 0.934570f, 0.976562f, 0.988281f, 0.992676f, 0.995605f, 0.996582f, 0.998047f, - 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000102f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000311f, 0.000345f, 0.000479f, 0.000723f, 0.000728f, 0.000934f, 0.001085f, - 0.001282f, 0.001821f, 0.002399f, 0.003355f, 0.005524f, 0.008881f, 0.017807f, 0.047058f, 0.222046f, 0.803223f, 0.954102f, 0.981445f, - 0.990723f, 0.994141f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000090f, 0.000116f, 0.000121f, 0.000121f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000201f, 0.000239f, 0.000358f, - 0.000618f, 0.000719f, 0.000727f, 0.000863f, 0.001087f, 0.001350f, 0.001945f, 0.002689f, 0.003731f, 0.005817f, 0.010033f, 0.021332f, - 0.064514f, 0.374512f, 0.885254f, 0.969238f, 0.986328f, 0.992676f, 0.995605f, 0.996582f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000086f, 0.000117f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000164f, 0.000238f, 0.000353f, 0.000596f, 0.000591f, 0.000727f, 0.000901f, 0.001085f, 0.001266f, 0.001767f, - 0.002663f, 0.003914f, 0.006153f, 0.011612f, 0.026871f, 0.100525f, 0.605957f, 0.934082f, 0.978027f, 0.989746f, 0.994141f, 0.996094f, - 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000107f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000195f, 0.000323f, 0.000339f, 0.000461f, 0.000706f, - 0.000726f, 0.000845f, 0.001086f, 0.001298f, 0.001843f, 0.003027f, 0.004387f, 0.007011f, 0.013832f, 0.036530f, 0.183228f, 0.805664f, - 0.959961f, 0.984863f, 0.991699f, 0.995605f, 0.997070f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000117f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000224f, 0.000336f, 0.000464f, 0.000708f, 0.000726f, 0.000965f, 0.001083f, 0.001458f, 0.002180f, 0.003096f, 0.004425f, - 0.008377f, 0.017639f, 0.056610f, 0.390869f, 0.909180f, 0.975586f, 0.989746f, 0.994141f, 0.996582f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000113f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000135f, 0.000336f, 0.000467f, 0.000713f, 0.000725f, 0.000959f, - 0.001191f, 0.001287f, 0.001939f, 0.003231f, 0.005306f, 0.009888f, 0.024414f, 0.105835f, 0.709961f, 0.955078f, 0.984863f, 0.993164f, - 0.996094f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000061f, 0.000089f, - 0.000118f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000309f, - 0.000299f, 0.000460f, 0.000710f, 0.000724f, 0.000997f, 0.001073f, 0.001410f, 0.002117f, 0.003506f, 0.006031f, 0.012863f, 0.038391f, - 0.260742f, 0.892090f, 0.975098f, 0.990723f, 0.995117f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000085f, 0.000110f, 0.000118f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000317f, 0.000499f, 0.000706f, 0.000599f, 0.000851f, 0.001069f, 0.001633f, - 0.002367f, 0.003918f, 0.007580f, 0.017929f, 0.074646f, 0.645508f, 0.956055f, 0.986328f, 0.994141f, 0.996582f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000099f, 0.000113f, - 0.000119f, 0.000119f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000160f, 0.000326f, 0.000308f, - 0.000578f, 0.000602f, 0.000921f, 0.001071f, 0.001807f, 0.002783f, 0.004620f, 0.010017f, 0.029465f, 0.211792f, 0.896484f, 0.979004f, - 0.992188f, 0.996094f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000027f, 0.000103f, 0.000114f, 0.000118f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000090f, 0.000212f, 0.000309f, 0.000586f, 0.000602f, 0.000937f, 0.001147f, 0.002031f, 0.003237f, 0.006134f, - 0.014969f, 0.063171f, 0.665527f, 0.964355f, 0.989258f, 0.995117f, 0.999023f, 0.998535f, 0.999023f, 0.999023f, 0.998535f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000018f, 0.000103f, 0.000113f, - 0.000117f, 0.000119f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000004f, 0.000002f, 0.000199f, 0.000390f, 0.000586f, 0.000665f, - 0.000946f, 0.001365f, 0.002207f, 0.003767f, 0.008308f, 0.025955f, 0.227661f, 0.924316f, 0.984863f, 0.994141f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000098f, 0.000109f, 0.000117f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000011f, 0.000005f, 0.000003f, - 0.000002f, 0.000193f, 0.000388f, 0.000586f, 0.000659f, 0.000952f, 0.001580f, 0.002762f, 0.005363f, 0.013153f, 0.066589f, 0.781738f, - 0.977051f, 0.993164f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000075f, 0.000112f, - 0.000116f, 0.000118f, 0.000119f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, - 0.000088f, 0.000026f, 0.000010f, 0.000005f, 0.000003f, 0.000002f, 0.000186f, 0.000407f, 0.000586f, 0.000760f, 0.000986f, 0.001796f, - 0.003275f, 0.007565f, 0.026794f, 0.363281f, 0.959473f, 0.990723f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000010f, 0.000090f, 0.000110f, 0.000115f, 0.000117f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000077f, 0.000023f, 0.000011f, 0.000005f, 0.000003f, 0.000002f, 0.000158f, - 0.000407f, 0.000587f, 0.000826f, 0.001264f, 0.002174f, 0.004894f, 0.013359f, 0.098511f, 0.911133f, 0.987793f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000084f, 0.000107f, - 0.000114f, 0.000117f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000093f, 0.000024f, - 0.000011f, 0.000005f, 0.000003f, 0.000002f, 0.000220f, 0.000476f, 0.000585f, 0.000913f, 0.001374f, 0.002951f, 0.007511f, 0.034973f, - 0.736328f, 0.982910f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000056f, 0.000102f, 0.000112f, 0.000116f, 0.000117f, 0.000119f, 0.000120f, 0.000120f, - 0.000121f, 0.000121f, 0.000121f, 0.000075f, 0.000025f, 0.000010f, 0.000005f, 0.000003f, 0.000034f, 0.000222f, 0.000491f, 0.000589f, - 0.001020f, 0.001881f, 0.004669f, 0.015717f, 0.298340f, 0.974609f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000048f, 0.000095f, - 0.000106f, 0.000114f, 0.000117f, 0.000118f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000089f, 0.000029f, 0.000012f, 0.000006f, - 0.000003f, 0.000002f, 0.000223f, 0.000525f, 0.000687f, 0.001122f, 0.002672f, 0.008255f, 0.079590f, 0.954590f, 0.996582f, 0.996582f, - 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000077f, 0.000104f, 0.000112f, 0.000115f, 0.000117f, 0.000119f, 0.000119f, - 0.000120f, 0.000109f, 0.000031f, 0.000013f, 0.000006f, 0.000003f, 0.000002f, 0.000254f, 0.000550f, 0.000846f, 0.001545f, 0.004223f, - 0.027771f, 0.901855f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, - 0.000090f, 0.000107f, 0.000113f, 0.000116f, 0.000118f, 0.000119f, 0.000120f, 0.000041f, 0.000015f, 0.000007f, 0.000004f, 0.000002f, - 0.000271f, 0.000563f, 0.000786f, 0.002211f, 0.012207f, 0.711426f, 0.994629f, 0.994629f, 0.995117f, 0.994629f, 0.994629f, 0.994629f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000028f, 0.000083f, 0.000102f, 0.000110f, 0.000114f, 0.000117f, 0.000118f, - 0.000052f, 0.000019f, 0.000008f, 0.000004f, 0.000002f, 0.000314f, 0.000444f, 0.001049f, 0.005669f, 0.266846f, 0.993164f, 0.993652f, - 0.993164f, 0.993652f, 0.993164f, 0.993164f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000048f, 0.000089f, 0.000106f, 0.000112f, 0.000115f, 0.000077f, 0.000026f, 0.000010f, 0.000005f, 0.000079f, 0.000425f, 0.000405f, - 0.002468f, 0.064209f, 0.990234f, 0.990723f, 0.990234f, 0.990234f, 0.990234f, 0.991211f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000075f, 0.000098f, 0.000108f, 0.000113f, 0.000044f, - 0.000016f, 0.000006f, 0.000027f, 0.000270f, 0.000825f, 0.018448f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000049f, 0.000085f, 0.000102f, 0.000070f, 0.000022f, 0.000008f, 0.000133f, 0.000295f, 0.005318f, 0.978516f, 0.979004f, - 0.977539f, 0.977539f, 0.978027f, 0.978516f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000066f, 0.000092f, 0.000036f, 0.000011f, - 0.000135f, 0.000925f, 0.959473f, 0.959961f, 0.959961f, 0.959473f, 0.959961f, 0.959473f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000027f, 0.000065f, 0.000016f, 0.000109f, 0.907715f, 0.907227f, 0.907715f, 0.907227f, 0.907715f, 0.907715f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000017f, 0.711914f, 0.712402f, - 0.711426f, 0.711426f, 0.711914f, 0.712402f, - }, - { - 0.076172f, 0.877441f, 0.964355f, 0.980957f, 0.987305f, 0.990723f, 0.992676f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, - 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.003897f, 0.033173f, 0.320557f, 0.863770f, 0.953613f, 0.975586f, 0.984863f, 0.988770f, - 0.991211f, 0.992676f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000975f, 0.005951f, 0.020935f, 0.093140f, - 0.501465f, 0.873047f, 0.950684f, 0.973145f, 0.981934f, 0.986816f, 0.990234f, 0.992188f, 0.993164f, 0.994629f, 0.995605f, 0.996094f, - 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000610f, 0.002430f, 0.006081f, 0.015915f, 0.045593f, 0.179810f, 0.635254f, 0.889648f, 0.951172f, 0.972168f, 0.981445f, 0.986328f, - 0.989746f, 0.991699f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.001219f, 0.002796f, 0.006172f, 0.012848f, 0.028458f, 0.081177f, 0.301758f, - 0.733398f, 0.905273f, 0.953613f, 0.972168f, 0.981445f, 0.986328f, 0.989258f, 0.991699f, 0.993652f, 0.994141f, 0.995117f, 0.996094f, - 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000731f, 0.001706f, 0.003166f, - 0.005470f, 0.010406f, 0.020813f, 0.047089f, 0.136719f, 0.449951f, 0.803223f, 0.919434f, 0.957520f, 0.973633f, 0.981934f, 0.986328f, - 0.989746f, 0.991699f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000244f, 0.000366f, 0.001214f, 0.001894f, 0.003159f, 0.005108f, 0.008720f, 0.015839f, 0.031586f, 0.074951f, 0.224121f, 0.596680f, - 0.851074f, 0.932617f, 0.962402f, 0.975586f, 0.982910f, 0.987305f, 0.989746f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, - 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000366f, 0.000731f, 0.000976f, 0.001827f, 0.002987f, 0.004757f, 0.007988f, - 0.013023f, 0.023544f, 0.048431f, 0.120239f, 0.352783f, 0.717285f, 0.887207f, 0.943848f, 0.966309f, 0.978027f, 0.983887f, 0.987305f, - 0.990234f, 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000434f, 0.000488f, 0.000704f, - 0.001218f, 0.002190f, 0.002783f, 0.004723f, 0.006878f, 0.011040f, 0.018372f, 0.034241f, 0.073242f, 0.194336f, 0.510742f, 0.803711f, - 0.912598f, 0.952637f, 0.970703f, 0.979004f, 0.984863f, 0.988281f, 0.991211f, 0.992676f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, - 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000243f, 0.000488f, 0.000488f, 0.000916f, 0.001219f, 0.002308f, 0.002914f, 0.004124f, 0.006523f, 0.009537f, 0.014793f, - 0.025833f, 0.050446f, 0.116089f, 0.312744f, 0.661133f, 0.860840f, 0.931641f, 0.960449f, 0.974121f, 0.981445f, 0.986328f, 0.989258f, - 0.991211f, 0.992676f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000121f, 0.000356f, 0.000488f, 0.000609f, 0.000944f, 0.001339f, 0.002296f, - 0.002964f, 0.003880f, 0.005676f, 0.008476f, 0.012909f, 0.020874f, 0.036926f, 0.075500f, 0.187988f, 0.474854f, 0.774414f, 0.900391f, - 0.946289f, 0.966309f, 0.978027f, 0.983887f, 0.987793f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, - 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000244f, 0.000483f, - 0.000488f, 0.000731f, 0.001070f, 0.001551f, 0.002024f, 0.002520f, 0.003990f, 0.004738f, 0.007584f, 0.010834f, 0.016800f, 0.028763f, - 0.054535f, 0.120728f, 0.309082f, 0.642090f, 0.848145f, 0.926270f, 0.957031f, 0.971191f, 0.980469f, 0.985352f, 0.988770f, 0.990723f, - 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000122f, 0.000242f, 0.000485f, 0.000608f, 0.000731f, 0.001091f, 0.001339f, 0.001943f, 0.002602f, 0.003466f, - 0.004845f, 0.006649f, 0.009529f, 0.014824f, 0.023407f, 0.041351f, 0.083496f, 0.199951f, 0.482422f, 0.770996f, 0.896484f, 0.944336f, - 0.965332f, 0.976562f, 0.982910f, 0.986816f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995117f, 0.996094f, 0.996582f, - 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000121f, 0.000243f, 0.000243f, 0.000602f, 0.000609f, 0.000799f, - 0.001088f, 0.001459f, 0.001822f, 0.002432f, 0.003033f, 0.004375f, 0.006042f, 0.008560f, 0.012810f, 0.019791f, 0.032715f, 0.061584f, - 0.135254f, 0.335693f, 0.660156f, 0.853027f, 0.926758f, 0.956543f, 0.972168f, 0.980469f, 0.984863f, 0.988281f, 0.991211f, 0.992676f, - 0.993652f, 0.994141f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, - 0.000243f, 0.000366f, 0.000605f, 0.000730f, 0.000731f, 0.001201f, 0.001458f, 0.001804f, 0.002428f, 0.003593f, 0.004234f, 0.005745f, - 0.007755f, 0.011139f, 0.016754f, 0.027054f, 0.047424f, 0.097107f, 0.231323f, 0.525879f, 0.791016f, 0.902832f, 0.945801f, 0.966797f, - 0.977051f, 0.982910f, 0.987793f, 0.990234f, 0.991699f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000365f, 0.000244f, 0.000602f, 0.000721f, 0.000730f, 0.000852f, 0.001451f, - 0.001842f, 0.002518f, 0.002993f, 0.004097f, 0.005253f, 0.007099f, 0.009865f, 0.014908f, 0.022827f, 0.038879f, 0.072815f, 0.163940f, - 0.396484f, 0.707031f, 0.869141f, 0.932129f, 0.960449f, 0.973145f, 0.980957f, 0.986328f, 0.988770f, 0.991211f, 0.992676f, 0.993652f, - 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000361f, 0.000242f, 0.000244f, - 0.000602f, 0.000728f, 0.000853f, 0.001260f, 0.001569f, 0.001704f, 0.002287f, 0.003103f, 0.003857f, 0.004848f, 0.006680f, 0.009003f, - 0.012978f, 0.019897f, 0.032135f, 0.057983f, 0.121033f, 0.291504f, 0.604980f, 0.827148f, 0.915039f, 0.953125f, 0.969238f, 0.978516f, - 0.984375f, 0.988281f, 0.991211f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000241f, 0.000241f, 0.000365f, 0.000365f, 0.000589f, 0.000852f, 0.000852f, 0.001246f, 0.001562f, 0.001812f, 0.002241f, - 0.002794f, 0.003633f, 0.004669f, 0.006069f, 0.008202f, 0.011772f, 0.016891f, 0.027618f, 0.047089f, 0.093506f, 0.216309f, 0.495605f, - 0.771484f, 0.894531f, 0.942383f, 0.965332f, 0.976074f, 0.982910f, 0.987305f, 0.989746f, 0.991699f, 0.993164f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000364f, 0.000242f, 0.000487f, 0.000737f, 0.000730f, - 0.000974f, 0.001083f, 0.001520f, 0.001701f, 0.001938f, 0.002768f, 0.003658f, 0.004227f, 0.005741f, 0.007671f, 0.010796f, 0.015511f, - 0.023529f, 0.040009f, 0.074158f, 0.165405f, 0.395264f, 0.703613f, 0.868164f, 0.932129f, 0.959473f, 0.973633f, 0.980957f, 0.985840f, - 0.988770f, 0.991699f, 0.992676f, 0.994141f, 0.995117f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, - 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000100f, 0.000000f, 0.000241f, - 0.000224f, 0.000487f, 0.000488f, 0.000710f, 0.000972f, 0.000848f, 0.001181f, 0.001333f, 0.001910f, 0.001830f, 0.002661f, 0.003298f, - 0.004154f, 0.005386f, 0.007271f, 0.009735f, 0.013908f, 0.021149f, 0.034149f, 0.062042f, 0.130371f, 0.313477f, 0.627930f, 0.837402f, - 0.919922f, 0.954590f, 0.970215f, 0.979492f, 0.985352f, 0.988770f, 0.991211f, 0.992676f, 0.993652f, 0.995117f, 0.995605f, 0.996094f, - 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000049f, 0.000242f, 0.000483f, 0.000606f, 0.000487f, 0.000695f, 0.000970f, 0.000974f, 0.001136f, - 0.001328f, 0.001694f, 0.002028f, 0.002617f, 0.002953f, 0.003847f, 0.004951f, 0.006653f, 0.009193f, 0.012672f, 0.018661f, 0.029968f, - 0.052673f, 0.106689f, 0.250977f, 0.549805f, 0.801758f, 0.907227f, 0.948242f, 0.967773f, 0.978027f, 0.984375f, 0.987793f, 0.990723f, - 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000166f, 0.000243f, 0.000485f, 0.000487f, - 0.000487f, 0.000945f, 0.000834f, 0.000974f, 0.000974f, 0.001300f, 0.001810f, 0.002058f, 0.002573f, 0.002703f, 0.003761f, 0.004887f, - 0.006393f, 0.008514f, 0.011818f, 0.016937f, 0.026672f, 0.046051f, 0.089478f, 0.204712f, 0.476807f, 0.762207f, 0.891602f, 0.942383f, - 0.965820f, 0.976562f, 0.983398f, 0.987793f, 0.990234f, 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, - 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000224f, 0.000358f, 0.000477f, 0.000486f, 0.000487f, 0.000580f, 0.000841f, 0.000973f, 0.001079f, 0.001255f, 0.001649f, - 0.002045f, 0.002241f, 0.002995f, 0.003841f, 0.004826f, 0.005920f, 0.007866f, 0.010925f, 0.015930f, 0.024109f, 0.040619f, 0.077454f, - 0.171509f, 0.412354f, 0.720215f, 0.876953f, 0.936035f, 0.962402f, 0.975098f, 0.982422f, 0.987305f, 0.990234f, 0.992188f, 0.993164f, - 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000165f, 0.000205f, 0.000411f, 0.000480f, 0.000486f, 0.000608f, 0.000688f, - 0.000966f, 0.000968f, 0.000974f, 0.001421f, 0.001489f, 0.001695f, 0.002090f, 0.002886f, 0.003326f, 0.004608f, 0.005604f, 0.007317f, - 0.010414f, 0.014862f, 0.022232f, 0.036469f, 0.067810f, 0.146973f, 0.359375f, 0.680664f, 0.861816f, 0.931152f, 0.959961f, 0.974609f, - 0.981934f, 0.986816f, 0.989746f, 0.991699f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, - 0.000453f, 0.000539f, 0.000486f, 0.000487f, 0.000487f, 0.000957f, 0.000969f, 0.001202f, 0.001139f, 0.001393f, 0.001986f, 0.002045f, - 0.002863f, 0.003216f, 0.004128f, 0.005417f, 0.007378f, 0.009689f, 0.013466f, 0.020432f, 0.033722f, 0.060883f, 0.129395f, 0.318115f, - 0.642090f, 0.847656f, 0.926270f, 0.958008f, 0.973145f, 0.981934f, 0.986328f, 0.989746f, 0.992188f, 0.993164f, 0.994629f, 0.995605f, - 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000380f, 0.000482f, 0.000606f, 0.000607f, 0.000608f, 0.000829f, 0.000970f, - 0.000972f, 0.001070f, 0.001402f, 0.001812f, 0.002138f, 0.002619f, 0.003246f, 0.004082f, 0.005318f, 0.006699f, 0.009262f, 0.012764f, - 0.019318f, 0.031052f, 0.055878f, 0.116821f, 0.286621f, 0.610352f, 0.835938f, 0.922852f, 0.956543f, 0.973145f, 0.981445f, 0.986328f, - 0.989746f, 0.991699f, 0.993652f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000350f, 0.000480f, - 0.000605f, 0.000596f, 0.000608f, 0.000890f, 0.000963f, 0.000972f, 0.000974f, 0.001316f, 0.001798f, 0.002058f, 0.002560f, 0.002811f, - 0.003983f, 0.005108f, 0.006489f, 0.008888f, 0.012314f, 0.018021f, 0.029495f, 0.051941f, 0.107422f, 0.263428f, 0.585449f, 0.827148f, - 0.919434f, 0.956055f, 0.971680f, 0.981445f, 0.986816f, 0.989746f, 0.992188f, 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, - 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000130f, 0.000176f, 0.000462f, 0.000483f, 0.000604f, 0.000607f, 0.000638f, 0.000922f, 0.000965f, 0.000971f, 0.001235f, - 0.001376f, 0.001769f, 0.002041f, 0.002575f, 0.003130f, 0.003487f, 0.004936f, 0.006264f, 0.008415f, 0.012047f, 0.017517f, 0.027786f, - 0.049164f, 0.101257f, 0.249512f, 0.568848f, 0.821777f, 0.918945f, 0.956055f, 0.972168f, 0.981445f, 0.986816f, 0.990234f, 0.992188f, - 0.993652f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000130f, 0.000122f, 0.000242f, 0.000352f, 0.000560f, 0.000602f, 0.000604f, - 0.000606f, 0.000767f, 0.001046f, 0.001089f, 0.000973f, 0.001327f, 0.001583f, 0.002033f, 0.002272f, 0.002657f, 0.003563f, 0.004589f, - 0.006138f, 0.008194f, 0.011299f, 0.016861f, 0.026718f, 0.047119f, 0.097656f, 0.240967f, 0.562500f, 0.821289f, 0.919922f, 0.957031f, - 0.973145f, 0.981934f, 0.987305f, 0.990234f, 0.992676f, 0.994141f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000241f, 0.000314f, 0.000459f, 0.000600f, 0.000605f, 0.000598f, 0.000804f, 0.000958f, 0.001084f, 0.001104f, 0.001389f, 0.001709f, - 0.002041f, 0.002211f, 0.002645f, 0.003635f, 0.004467f, 0.005718f, 0.008072f, 0.011185f, 0.016846f, 0.026184f, 0.046112f, 0.094971f, - 0.239014f, 0.565430f, 0.825684f, 0.922363f, 0.958496f, 0.973633f, 0.983398f, 0.987793f, 0.990723f, 0.992676f, 0.994141f, 0.995605f, - 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000238f, 0.000122f, 0.000173f, 0.000246f, 0.000387f, 0.000480f, 0.000604f, 0.000604f, 0.000701f, - 0.000951f, 0.000968f, 0.001184f, 0.001315f, 0.001597f, 0.001899f, 0.002268f, 0.002813f, 0.003716f, 0.004372f, 0.005886f, 0.007759f, - 0.010918f, 0.015915f, 0.025726f, 0.045685f, 0.095459f, 0.243774f, 0.579102f, 0.833984f, 0.926270f, 0.960449f, 0.976074f, 0.983887f, - 0.988770f, 0.991211f, 0.993164f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, - 0.999023f, 0.999512f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, 0.000237f, 0.000242f, - 0.000463f, 0.000585f, 0.000587f, 0.000718f, 0.000607f, 0.000885f, 0.001081f, 0.001087f, 0.001299f, 0.001553f, 0.001982f, 0.002104f, - 0.002777f, 0.003494f, 0.004406f, 0.005798f, 0.007645f, 0.010750f, 0.016159f, 0.025467f, 0.045959f, 0.097778f, 0.256104f, 0.603516f, - 0.847168f, 0.931152f, 0.963379f, 0.977539f, 0.985352f, 0.989258f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.996582f, 0.997559f, - 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000231f, 0.000122f, 0.000242f, 0.000242f, 0.000400f, 0.000525f, 0.000495f, 0.000605f, 0.000607f, 0.000898f, 0.001075f, - 0.001191f, 0.001133f, 0.001420f, 0.001794f, 0.002041f, 0.002733f, 0.003548f, 0.004448f, 0.005585f, 0.007656f, 0.010735f, 0.015671f, - 0.025589f, 0.047363f, 0.102783f, 0.276855f, 0.637695f, 0.862793f, 0.938477f, 0.966797f, 0.979004f, 0.985840f, 0.990234f, 0.992676f, - 0.994141f, 0.995117f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f, 0.000242f, 0.000470f, 0.000469f, - 0.000547f, 0.000711f, 0.000723f, 0.000829f, 0.001024f, 0.001188f, 0.001081f, 0.001415f, 0.001765f, 0.002048f, 0.002708f, 0.003252f, - 0.004448f, 0.005711f, 0.007557f, 0.010780f, 0.016220f, 0.026398f, 0.048950f, 0.111267f, 0.309082f, 0.680664f, 0.880371f, 0.945801f, - 0.970703f, 0.980957f, 0.986816f, 0.990723f, 0.993164f, 0.994629f, 0.995605f, 0.996582f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000204f, 0.000239f, 0.000242f, 0.000283f, 0.000479f, 0.000594f, 0.000603f, 0.000606f, 0.000779f, 0.001068f, 0.001084f, 0.001118f, - 0.001515f, 0.001926f, 0.002098f, 0.002674f, 0.002975f, 0.004040f, 0.005478f, 0.007488f, 0.010651f, 0.016327f, 0.027222f, 0.052460f, - 0.123718f, 0.355713f, 0.729980f, 0.899902f, 0.952637f, 0.973145f, 0.983887f, 0.988770f, 0.991699f, 0.994141f, 0.995117f, 0.996094f, - 0.997070f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000122f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000236f, 0.000207f, 0.000240f, 0.000435f, 0.000534f, 0.000594f, 0.000602f, - 0.000722f, 0.000727f, 0.000947f, 0.001081f, 0.001090f, 0.001471f, 0.001829f, 0.002010f, 0.002478f, 0.002956f, 0.004051f, 0.005753f, - 0.007717f, 0.011040f, 0.017105f, 0.028748f, 0.057159f, 0.142944f, 0.421387f, 0.780762f, 0.916992f, 0.960449f, 0.976562f, 0.985352f, - 0.989746f, 0.992676f, 0.994629f, 0.996094f, 0.997070f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000224f, 0.000232f, - 0.000230f, 0.000382f, 0.000472f, 0.000576f, 0.000715f, 0.000721f, 0.000727f, 0.001046f, 0.001078f, 0.001186f, 0.001434f, 0.001674f, - 0.002066f, 0.002546f, 0.003407f, 0.004181f, 0.005634f, 0.007542f, 0.011330f, 0.017609f, 0.031189f, 0.064392f, 0.172729f, 0.506836f, - 0.828125f, 0.933105f, 0.966309f, 0.980469f, 0.987305f, 0.991211f, 0.993652f, 0.995117f, 0.996582f, 0.997070f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000232f, 0.000234f, 0.000352f, 0.000461f, 0.000535f, 0.000594f, 0.000722f, 0.000725f, - 0.000921f, 0.001116f, 0.001192f, 0.001416f, 0.001637f, 0.001911f, 0.002380f, 0.002949f, 0.003948f, 0.005589f, 0.007942f, 0.011650f, - 0.018631f, 0.034302f, 0.075867f, 0.219238f, 0.607422f, 0.870605f, 0.946777f, 0.972656f, 0.983887f, 0.989258f, 0.992676f, 0.995117f, - 0.996094f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000239f, 0.000302f, - 0.000396f, 0.000564f, 0.000674f, 0.000617f, 0.000722f, 0.001003f, 0.001068f, 0.001084f, 0.001302f, 0.001598f, 0.001929f, 0.002375f, - 0.002935f, 0.004349f, 0.005714f, 0.007957f, 0.012306f, 0.020493f, 0.039001f, 0.092590f, 0.293213f, 0.711426f, 0.905762f, 0.958984f, - 0.978027f, 0.986328f, 0.990723f, 0.994141f, 0.995605f, 0.996582f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000232f, 0.000227f, 0.000240f, 0.000282f, 0.000542f, 0.000703f, 0.000718f, 0.000724f, 0.000833f, 0.001069f, - 0.001184f, 0.001346f, 0.001464f, 0.001898f, 0.002649f, 0.003164f, 0.004467f, 0.005863f, 0.008400f, 0.013199f, 0.022614f, 0.046051f, - 0.120605f, 0.406738f, 0.801270f, 0.931641f, 0.968262f, 0.982422f, 0.988770f, 0.992676f, 0.994629f, 0.996094f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000219f, 0.000237f, 0.000235f, 0.000241f, 0.000480f, - 0.000584f, 0.000715f, 0.000723f, 0.000775f, 0.001061f, 0.000959f, 0.001139f, 0.001526f, 0.001770f, 0.002546f, 0.003151f, 0.004250f, - 0.006195f, 0.009071f, 0.014595f, 0.026413f, 0.056763f, 0.169067f, 0.557617f, 0.869141f, 0.951172f, 0.976074f, 0.986328f, 0.990723f, - 0.994141f, 0.995605f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000216f, 0.000228f, 0.000285f, 0.000339f, 0.000454f, 0.000572f, 0.000595f, 0.000721f, 0.000604f, 0.000930f, 0.000958f, 0.001171f, - 0.001431f, 0.001888f, 0.002663f, 0.003256f, 0.004402f, 0.006527f, 0.009964f, 0.016281f, 0.031189f, 0.074524f, 0.258301f, 0.714355f, - 0.916016f, 0.965332f, 0.982422f, 0.989746f, 0.992676f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000063f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000184f, 0.000228f, 0.000340f, 0.000396f, 0.000668f, 0.000571f, - 0.000478f, 0.000602f, 0.000919f, 0.000956f, 0.001061f, 0.001497f, 0.001888f, 0.002565f, 0.003523f, 0.004578f, 0.006935f, 0.010765f, - 0.018417f, 0.038635f, 0.107727f, 0.416260f, 0.832520f, 0.946289f, 0.975586f, 0.986328f, 0.991699f, 0.994629f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000045f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000234f, 0.000294f, 0.000220f, 0.000486f, 0.000579f, 0.000588f, 0.000669f, 0.000878f, 0.001038f, 0.001135f, 0.001451f, 0.001820f, - 0.002529f, 0.003551f, 0.005199f, 0.007542f, 0.012230f, 0.022369f, 0.051910f, 0.174927f, 0.630859f, 0.905273f, 0.965332f, 0.982910f, - 0.990234f, 0.993652f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000091f, - 0.000117f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000171f, 0.000151f, 0.000166f, 0.000195f, 0.000342f, 0.000452f, 0.000594f, 0.000599f, - 0.000862f, 0.001019f, 0.001135f, 0.001465f, 0.002031f, 0.002676f, 0.003714f, 0.005497f, 0.008286f, 0.014320f, 0.028854f, 0.077332f, - 0.322754f, 0.809082f, 0.946289f, 0.977051f, 0.987793f, 0.993164f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000079f, 0.000105f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000008f, 0.000006f, 0.000098f, 0.000137f, - 0.000233f, 0.000324f, 0.000566f, 0.000589f, 0.000618f, 0.000874f, 0.000941f, 0.001108f, 0.001621f, 0.001880f, 0.002726f, 0.003788f, - 0.005840f, 0.009583f, 0.017563f, 0.039368f, 0.133545f, 0.582520f, 0.906738f, 0.968262f, 0.984863f, 0.992188f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000069f, 0.000114f, - 0.000117f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000021f, - 0.000013f, 0.000009f, 0.000006f, 0.000004f, 0.000090f, 0.000206f, 0.000305f, 0.000538f, 0.000585f, 0.000596f, 0.000869f, 0.000941f, - 0.001149f, 0.001516f, 0.002150f, 0.002729f, 0.004475f, 0.006660f, 0.011360f, 0.022690f, 0.061401f, 0.281494f, 0.813965f, 0.952148f, - 0.980957f, 0.990723f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000085f, 0.000114f, 0.000117f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000122f, 0.000122f, 0.000077f, 0.000041f, 0.000022f, 0.000013f, 0.000009f, 0.000006f, 0.000066f, 0.000107f, 0.000223f, 0.000250f, - 0.000532f, 0.000576f, 0.000593f, 0.000784f, 0.000937f, 0.001126f, 0.001523f, 0.002306f, 0.003193f, 0.004574f, 0.007717f, 0.014191f, - 0.032410f, 0.116577f, 0.595215f, 0.921875f, 0.974609f, 0.988770f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000056f, 0.000112f, - 0.000114f, 0.000118f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000074f, 0.000038f, 0.000021f, 0.000013f, 0.000009f, - 0.000006f, 0.000004f, 0.000003f, 0.000179f, 0.000258f, 0.000367f, 0.000469f, 0.000583f, 0.000770f, 0.000932f, 0.001131f, 0.001758f, - 0.002483f, 0.003517f, 0.005432f, 0.009232f, 0.019302f, 0.054504f, 0.293457f, 0.853516f, 0.964844f, 0.986816f, 0.997070f, 0.997070f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000015f, 0.000084f, 0.000107f, 0.000113f, 0.000117f, 0.000118f, 0.000119f, 0.000120f, 0.000120f, - 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000076f, 0.000042f, 0.000023f, 0.000015f, 0.000009f, 0.000007f, 0.000005f, 0.000004f, 0.000147f, 0.000238f, 0.000457f, 0.000545f, - 0.000586f, 0.000821f, 0.000936f, 0.001139f, 0.001849f, 0.002665f, 0.003687f, 0.006367f, 0.011810f, 0.028931f, 0.120605f, 0.687988f, - 0.947754f, 0.982910f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000082f, 0.000095f, - 0.000111f, 0.000115f, 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000083f, 0.000042f, 0.000026f, 0.000015f, 0.000010f, 0.000007f, 0.000005f, - 0.000013f, 0.000086f, 0.000185f, 0.000309f, 0.000552f, 0.000577f, 0.000796f, 0.000925f, 0.001251f, 0.001838f, 0.002878f, 0.004509f, - 0.007572f, 0.016617f, 0.054932f, 0.391602f, 0.912109f, 0.978516f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996094f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000095f, 0.000106f, 0.000112f, 0.000113f, 0.000115f, 0.000118f, 0.000118f, - 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000099f, 0.000048f, - 0.000027f, 0.000017f, 0.000011f, 0.000008f, 0.000006f, 0.000004f, 0.000089f, 0.000182f, 0.000347f, 0.000495f, 0.000570f, 0.000777f, - 0.000922f, 0.001316f, 0.001831f, 0.003004f, 0.005028f, 0.010078f, 0.028183f, 0.161865f, 0.833496f, 0.972168f, 0.995117f, 0.995605f, - 0.995605f, 0.995117f, 0.995117f, 0.995605f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000074f, - 0.000093f, 0.000107f, 0.000111f, 0.000115f, 0.000116f, 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000057f, 0.000032f, 0.000021f, 0.000013f, 0.000008f, 0.000006f, 0.000005f, 0.000034f, - 0.000159f, 0.000267f, 0.000514f, 0.000566f, 0.000714f, 0.000888f, 0.001348f, 0.001995f, 0.003302f, 0.006447f, 0.015945f, 0.069153f, - 0.646484f, 0.960449f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000080f, 0.000095f, 0.000102f, 0.000109f, 0.000114f, 0.000115f, - 0.000116f, 0.000118f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000077f, 0.000044f, 0.000025f, - 0.000015f, 0.000011f, 0.000007f, 0.000005f, 0.000004f, 0.000106f, 0.000244f, 0.000476f, 0.000561f, 0.000622f, 0.000893f, 0.001266f, - 0.001968f, 0.003990f, 0.009476f, 0.033234f, 0.342529f, 0.940918f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000046f, 0.000079f, 0.000093f, 0.000104f, 0.000110f, 0.000111f, 0.000113f, 0.000116f, 0.000117f, 0.000118f, 0.000118f, 0.000119f, - 0.000119f, 0.000119f, 0.000092f, 0.000050f, 0.000029f, 0.000019f, 0.000012f, 0.000009f, 0.000006f, 0.000004f, 0.000061f, 0.000188f, - 0.000324f, 0.000456f, 0.000525f, 0.000657f, 0.001371f, 0.002445f, 0.005634f, 0.017563f, 0.135986f, 0.902832f, 0.992188f, 0.992188f, - 0.992676f, 0.992188f, 0.992676f, 0.992188f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000038f, 0.000075f, 0.000092f, 0.000100f, 0.000105f, - 0.000111f, 0.000112f, 0.000114f, 0.000116f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000074f, 0.000041f, 0.000024f, 0.000016f, - 0.000010f, 0.000007f, 0.000005f, 0.000033f, 0.000167f, 0.000423f, 0.000410f, 0.000413f, 0.000575f, 0.001446f, 0.003387f, 0.009644f, - 0.056183f, 0.817383f, 0.990234f, 0.990234f, 0.990234f, 0.990723f, 0.990234f, 0.990723f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000011f, 0.000067f, 0.000084f, 0.000096f, 0.000103f, 0.000108f, 0.000110f, 0.000113f, 0.000115f, 0.000115f, - 0.000116f, 0.000104f, 0.000057f, 0.000035f, 0.000021f, 0.000013f, 0.000009f, 0.000006f, 0.000054f, 0.000161f, 0.000317f, 0.000332f, - 0.000393f, 0.000723f, 0.001760f, 0.005203f, 0.025345f, 0.617676f, 0.987793f, 0.987793f, 0.987793f, 0.988281f, 0.988281f, 0.988281f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000017f, 0.000052f, 0.000075f, - 0.000091f, 0.000097f, 0.000105f, 0.000108f, 0.000111f, 0.000113f, 0.000114f, 0.000085f, 0.000050f, 0.000031f, 0.000018f, 0.000012f, - 0.000008f, 0.000005f, 0.000095f, 0.000314f, 0.000306f, 0.000363f, 0.000813f, 0.002583f, 0.011734f, 0.308105f, 0.983887f, 0.984375f, - 0.984375f, 0.984375f, 0.983887f, 0.983887f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, 0.000065f, 0.000083f, 0.000093f, 0.000099f, 0.000105f, 0.000108f, - 0.000110f, 0.000082f, 0.000045f, 0.000027f, 0.000017f, 0.000011f, 0.000007f, 0.000114f, 0.000245f, 0.000209f, 0.000379f, 0.001151f, - 0.005260f, 0.107971f, 0.977539f, 0.979004f, 0.978027f, 0.978027f, 0.978027f, 0.978027f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000007f, 0.000045f, 0.000069f, 0.000084f, 0.000093f, 0.000099f, 0.000104f, 0.000076f, 0.000044f, 0.000026f, 0.000016f, 0.000010f, - 0.000012f, 0.000152f, 0.000179f, 0.000373f, 0.001760f, 0.035522f, 0.969238f, 0.968750f, 0.968750f, 0.968750f, 0.968750f, 0.968750f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000050f, 0.000070f, 0.000082f, - 0.000092f, 0.000075f, 0.000044f, 0.000026f, 0.000015f, 0.000009f, 0.000121f, 0.000117f, 0.000611f, 0.010231f, 0.951172f, 0.951172f, - 0.951172f, 0.951172f, 0.950684f, 0.951660f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000047f, 0.000069f, 0.000077f, 0.000042f, 0.000024f, 0.000013f, 0.000078f, - 0.000130f, 0.001914f, 0.915039f, 0.915527f, 0.915039f, 0.915527f, 0.916016f, 0.915039f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000017f, 0.000047f, 0.000040f, 0.000019f, 0.000035f, 0.000188f, 0.833984f, 0.833496f, 0.833496f, 0.834473f, 0.834473f, 0.833984f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000007f, 0.642578f, 0.643555f, - 0.643066f, 0.643555f, 0.642578f, 0.642578f, - }, - { - 0.113464f, 0.797852f, 0.930176f, 0.961914f, 0.974609f, 0.980469f, 0.984863f, 0.987793f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, - 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.007183f, 0.058716f, 0.349609f, 0.784668f, 0.912598f, 0.952148f, 0.968262f, 0.977539f, - 0.981934f, 0.985352f, 0.988281f, 0.990234f, 0.991211f, 0.992188f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.995605f, - 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.002432f, 0.011818f, 0.039581f, 0.143677f, - 0.482910f, 0.800293f, 0.908691f, 0.947266f, 0.964844f, 0.974609f, 0.980469f, 0.984375f, 0.987305f, 0.989258f, 0.990723f, 0.991699f, - 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.001096f, 0.005062f, 0.012482f, 0.030151f, 0.079956f, 0.239014f, 0.581055f, 0.819824f, 0.909180f, 0.946289f, 0.963379f, 0.973145f, - 0.979492f, 0.983398f, 0.986328f, 0.988281f, 0.990234f, 0.991699f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, - 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000610f, 0.002434f, 0.005779f, 0.012207f, 0.023972f, 0.052765f, 0.129883f, 0.342773f, - 0.660156f, 0.841309f, 0.914062f, 0.947266f, 0.963379f, 0.973145f, 0.979004f, 0.982910f, 0.985840f, 0.987793f, 0.989746f, 0.991211f, - 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000397f, 0.001559f, 0.003397f, 0.006058f, - 0.011177f, 0.020355f, 0.039307f, 0.083130f, 0.196777f, 0.452148f, 0.724121f, 0.862305f, 0.920410f, 0.949219f, 0.964355f, 0.973145f, - 0.979004f, 0.982910f, 0.985840f, 0.988770f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, - 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000366f, 0.001097f, 0.002163f, 0.003523f, 0.006268f, 0.010941f, 0.017487f, 0.030930f, 0.058411f, 0.122925f, 0.281738f, 0.556152f, - 0.776367f, 0.881348f, 0.928223f, 0.951660f, 0.966309f, 0.973633f, 0.979492f, 0.983398f, 0.986328f, 0.988281f, 0.989746f, 0.991211f, - 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000728f, 0.001340f, 0.002533f, 0.003813f, 0.006081f, 0.009750f, 0.015419f, - 0.025177f, 0.044067f, 0.084473f, 0.179077f, 0.384033f, 0.649902f, 0.818848f, 0.897949f, 0.935547f, 0.956055f, 0.967285f, 0.975098f, - 0.980957f, 0.983887f, 0.986328f, 0.988281f, 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000609f, 0.000854f, 0.001898f, - 0.002781f, 0.004246f, 0.006218f, 0.008835f, 0.013504f, 0.021362f, 0.035400f, 0.062347f, 0.121460f, 0.255127f, 0.495361f, 0.726562f, - 0.852539f, 0.912598f, 0.943359f, 0.959473f, 0.969238f, 0.976562f, 0.981445f, 0.984375f, 0.987305f, 0.988770f, 0.990234f, 0.991699f, - 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000244f, 0.000244f, 0.000731f, 0.001295f, 0.002159f, 0.003092f, 0.004051f, 0.005836f, 0.008560f, 0.011925f, 0.018585f, 0.029373f, - 0.048950f, 0.088013f, 0.174194f, 0.354980f, 0.604492f, 0.788086f, 0.880371f, 0.925293f, 0.950195f, 0.963867f, 0.972168f, 0.978027f, - 0.982422f, 0.985840f, 0.987793f, 0.990234f, 0.991699f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000114f, 0.000244f, 0.000709f, 0.001089f, 0.001580f, 0.002100f, 0.002848f, 0.004028f, - 0.005646f, 0.008232f, 0.011276f, 0.016647f, 0.024948f, 0.039215f, 0.067566f, 0.125244f, 0.249878f, 0.471436f, 0.698242f, 0.834961f, - 0.902344f, 0.937012f, 0.955078f, 0.967773f, 0.974609f, 0.979492f, 0.983887f, 0.987305f, 0.988770f, 0.990723f, 0.991699f, 0.992676f, - 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000244f, 0.000480f, 0.001081f, - 0.001216f, 0.001684f, 0.002287f, 0.003113f, 0.004246f, 0.005711f, 0.007412f, 0.010658f, 0.014900f, 0.021408f, 0.033173f, 0.053711f, - 0.094299f, 0.179688f, 0.351807f, 0.591309f, 0.774902f, 0.871582f, 0.919922f, 0.946289f, 0.961426f, 0.971191f, 0.977051f, 0.981934f, - 0.984863f, 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000364f, 0.000366f, 0.000729f, 0.001195f, 0.001218f, 0.001693f, 0.002209f, 0.003038f, 0.004192f, 0.005249f, 0.006981f, - 0.009926f, 0.013405f, 0.019165f, 0.028473f, 0.044250f, 0.073975f, 0.134521f, 0.260010f, 0.476562f, 0.696289f, 0.830566f, 0.898438f, - 0.933594f, 0.954102f, 0.966309f, 0.974609f, 0.979492f, 0.982910f, 0.986328f, 0.988281f, 0.989746f, 0.991699f, 0.992676f, 0.993652f, - 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000226f, 0.000365f, 0.000488f, 0.000731f, 0.001090f, 0.001245f, 0.002028f, - 0.002169f, 0.003023f, 0.003952f, 0.005043f, 0.006790f, 0.009026f, 0.012276f, 0.016754f, 0.024628f, 0.037384f, 0.060120f, 0.104431f, - 0.196045f, 0.372803f, 0.604980f, 0.779785f, 0.872070f, 0.919922f, 0.945312f, 0.960938f, 0.970703f, 0.977539f, 0.980957f, 0.984863f, - 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, - 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000364f, 0.000487f, - 0.000488f, 0.000608f, 0.001092f, 0.001323f, 0.001909f, 0.002028f, 0.002829f, 0.003754f, 0.004940f, 0.006329f, 0.008850f, 0.011353f, - 0.015572f, 0.022110f, 0.032196f, 0.050293f, 0.083984f, 0.151978f, 0.288574f, 0.507812f, 0.715332f, 0.839844f, 0.902832f, 0.936035f, - 0.955566f, 0.966797f, 0.974609f, 0.979492f, 0.983887f, 0.986816f, 0.988281f, 0.989746f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, - 0.994629f, 0.995605f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000341f, 0.000486f, 0.000487f, 0.000591f, 0.000846f, 0.001213f, 0.001407f, 0.002018f, 0.002306f, 0.003119f, - 0.003736f, 0.004700f, 0.005936f, 0.007858f, 0.010498f, 0.013939f, 0.019913f, 0.028564f, 0.043060f, 0.069275f, 0.120972f, 0.225830f, - 0.416748f, 0.642090f, 0.798828f, 0.881836f, 0.924805f, 0.948730f, 0.962891f, 0.971191f, 0.978516f, 0.982422f, 0.985352f, 0.987793f, - 0.989746f, 0.991211f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, - 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000121f, 0.000122f, 0.000475f, 0.000486f, 0.000487f, 0.000714f, 0.000913f, - 0.001296f, 0.001350f, 0.001884f, 0.002163f, 0.002871f, 0.003702f, 0.004578f, 0.005573f, 0.007278f, 0.009819f, 0.013039f, 0.017883f, - 0.025589f, 0.037445f, 0.058655f, 0.099243f, 0.180542f, 0.338867f, 0.563965f, 0.751465f, 0.857422f, 0.912109f, 0.941406f, 0.958496f, - 0.968262f, 0.976074f, 0.980957f, 0.984375f, 0.986816f, 0.989258f, 0.990723f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, - 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000122f, 0.000242f, - 0.000417f, 0.000607f, 0.000602f, 0.000644f, 0.001016f, 0.001223f, 0.001337f, 0.002010f, 0.002087f, 0.002752f, 0.003380f, 0.004486f, - 0.005760f, 0.007523f, 0.009048f, 0.012169f, 0.016312f, 0.022949f, 0.033295f, 0.050812f, 0.082886f, 0.146851f, 0.275635f, 0.486572f, - 0.696777f, 0.828613f, 0.896484f, 0.933594f, 0.953613f, 0.965820f, 0.973633f, 0.979980f, 0.983887f, 0.986328f, 0.988770f, 0.990723f, - 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.997559f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000262f, 0.000463f, 0.000603f, 0.000665f, 0.000716f, 0.001069f, 0.001322f, 0.001538f, - 0.001895f, 0.002293f, 0.003120f, 0.003323f, 0.004166f, 0.005638f, 0.006828f, 0.008942f, 0.011368f, 0.015465f, 0.021057f, 0.029663f, - 0.044861f, 0.070923f, 0.123169f, 0.228149f, 0.416504f, 0.640137f, 0.797363f, 0.880859f, 0.924805f, 0.948730f, 0.963379f, 0.971680f, - 0.978516f, 0.982422f, 0.985840f, 0.988281f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.996094f, - 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000120f, 0.000172f, 0.000243f, 0.000365f, 0.000475f, 0.000607f, - 0.000608f, 0.000609f, 0.001013f, 0.001424f, 0.001456f, 0.001904f, 0.002411f, 0.002903f, 0.003145f, 0.004314f, 0.004944f, 0.006607f, - 0.008156f, 0.010719f, 0.014297f, 0.018906f, 0.027069f, 0.040070f, 0.062103f, 0.104858f, 0.191162f, 0.355469f, 0.581543f, 0.762695f, - 0.863281f, 0.915039f, 0.943848f, 0.960449f, 0.970703f, 0.977051f, 0.981445f, 0.985840f, 0.987793f, 0.989746f, 0.991211f, 0.992676f, - 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.997070f, 0.997070f, 0.998047f, 0.997559f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000000f, 0.000000f, 0.000096f, - 0.000239f, 0.000241f, 0.000336f, 0.000482f, 0.000719f, 0.000729f, 0.000831f, 0.001049f, 0.001552f, 0.001576f, 0.001710f, 0.002373f, - 0.002846f, 0.003254f, 0.004051f, 0.005035f, 0.006405f, 0.007706f, 0.009987f, 0.013092f, 0.017715f, 0.024872f, 0.035980f, 0.055328f, - 0.091248f, 0.163330f, 0.305664f, 0.524902f, 0.726562f, 0.845215f, 0.906250f, 0.938965f, 0.957031f, 0.969238f, 0.976074f, 0.981445f, - 0.984863f, 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, - 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000120f, 0.000351f, 0.000364f, 0.000421f, 0.000480f, 0.000606f, 0.000728f, 0.000852f, - 0.001175f, 0.001535f, 0.001673f, 0.001671f, 0.002277f, 0.002743f, 0.003220f, 0.003922f, 0.004868f, 0.005951f, 0.007488f, 0.009430f, - 0.012527f, 0.016266f, 0.022964f, 0.033142f, 0.049805f, 0.080688f, 0.141846f, 0.265625f, 0.473145f, 0.688477f, 0.825684f, 0.897949f, - 0.934082f, 0.954102f, 0.966797f, 0.975098f, 0.980469f, 0.984375f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993164f, 0.993652f, - 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999023f, - 0.999023f, 0.999023f, 0.999512f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000058f, 0.000235f, 0.000360f, 0.000243f, - 0.000440f, 0.000583f, 0.000847f, 0.000851f, 0.000852f, 0.001189f, 0.001411f, 0.001645f, 0.001898f, 0.002417f, 0.002617f, 0.003435f, - 0.003695f, 0.004616f, 0.005733f, 0.007278f, 0.009216f, 0.012016f, 0.015701f, 0.021561f, 0.030396f, 0.045746f, 0.073120f, 0.125732f, - 0.233521f, 0.428223f, 0.653320f, 0.807617f, 0.887695f, 0.929688f, 0.951660f, 0.965820f, 0.974121f, 0.980469f, 0.984375f, 0.986816f, - 0.989746f, 0.991211f, 0.992676f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, - 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000237f, 0.000237f, 0.000362f, 0.000365f, 0.000558f, 0.000814f, 0.000727f, 0.000729f, 0.000935f, 0.001189f, 0.001403f, - 0.001569f, 0.001989f, 0.002216f, 0.002533f, 0.003307f, 0.003906f, 0.004463f, 0.005646f, 0.006908f, 0.008980f, 0.011230f, 0.014755f, - 0.020020f, 0.028320f, 0.041931f, 0.065979f, 0.113098f, 0.209229f, 0.389648f, 0.620605f, 0.789551f, 0.879395f, 0.924805f, 0.950684f, - 0.964844f, 0.974121f, 0.979980f, 0.983398f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993652f, 0.993652f, 0.995117f, 0.995605f, - 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000121f, 0.000241f, 0.000486f, 0.000575f, 0.000707f, - 0.000726f, 0.000971f, 0.000849f, 0.000966f, 0.001350f, 0.001660f, 0.001678f, 0.002224f, 0.002483f, 0.003197f, 0.003611f, 0.004200f, - 0.005318f, 0.006744f, 0.008476f, 0.010506f, 0.014145f, 0.019089f, 0.026627f, 0.039001f, 0.061096f, 0.103333f, 0.189819f, 0.358887f, - 0.591309f, 0.773438f, 0.872559f, 0.922363f, 0.948730f, 0.963867f, 0.973145f, 0.979492f, 0.983887f, 0.986816f, 0.989258f, 0.991211f, - 0.992188f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000175f, 0.000361f, - 0.000481f, 0.000485f, 0.000364f, 0.000562f, 0.000703f, 0.000827f, 0.000842f, 0.000972f, 0.001172f, 0.001321f, 0.001675f, 0.001684f, - 0.002153f, 0.002455f, 0.003122f, 0.003391f, 0.004177f, 0.005314f, 0.006325f, 0.007896f, 0.010368f, 0.013527f, 0.018082f, 0.025162f, - 0.037140f, 0.057343f, 0.095886f, 0.175659f, 0.334473f, 0.567871f, 0.760742f, 0.866699f, 0.919922f, 0.947754f, 0.963379f, 0.972656f, - 0.979492f, 0.984375f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, - 0.998047f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000325f, 0.000311f, 0.000243f, 0.000484f, 0.000486f, 0.000536f, 0.000698f, 0.000723f, 0.000844f, - 0.000972f, 0.001081f, 0.001312f, 0.001658f, 0.001914f, 0.001932f, 0.002390f, 0.003017f, 0.003668f, 0.004353f, 0.005199f, 0.006336f, - 0.007812f, 0.009972f, 0.012802f, 0.017029f, 0.024200f, 0.035034f, 0.053833f, 0.090027f, 0.164185f, 0.316162f, 0.549805f, 0.751465f, - 0.863281f, 0.918457f, 0.947266f, 0.963379f, 0.974121f, 0.979492f, 0.984375f, 0.987793f, 0.989746f, 0.991699f, 0.993164f, 0.994141f, - 0.995117f, 0.995605f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000231f, 0.000453f, 0.000480f, 0.000484f, - 0.000485f, 0.000486f, 0.000917f, 0.000963f, 0.000969f, 0.000970f, 0.001043f, 0.001288f, 0.001523f, 0.001684f, 0.001885f, 0.002464f, - 0.002531f, 0.003565f, 0.004124f, 0.004745f, 0.006077f, 0.007580f, 0.009605f, 0.012634f, 0.016953f, 0.023346f, 0.033386f, 0.051697f, - 0.085632f, 0.156250f, 0.303955f, 0.537598f, 0.746582f, 0.860840f, 0.918457f, 0.947754f, 0.963867f, 0.973633f, 0.979980f, 0.984863f, - 0.987793f, 0.990234f, 0.991699f, 0.993652f, 0.994141f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000235f, 0.000239f, 0.000359f, 0.000484f, 0.000485f, 0.000486f, 0.000628f, 0.000957f, 0.000967f, 0.000969f, 0.001065f, - 0.001288f, 0.001602f, 0.001850f, 0.001995f, 0.002409f, 0.002523f, 0.003462f, 0.003838f, 0.004993f, 0.005917f, 0.007233f, 0.009338f, - 0.012230f, 0.015610f, 0.022415f, 0.032288f, 0.049805f, 0.082947f, 0.151489f, 0.296631f, 0.532715f, 0.745117f, 0.862793f, 0.919434f, - 0.948242f, 0.964844f, 0.974609f, 0.980957f, 0.985352f, 0.988281f, 0.990723f, 0.992676f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, - 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000187f, 0.000437f, 0.000473f, 0.000483f, 0.000485f, 0.000606f, - 0.000583f, 0.000711f, 0.000772f, 0.000968f, 0.001107f, 0.001287f, 0.001434f, 0.001662f, 0.001984f, 0.002449f, 0.002634f, 0.003145f, - 0.003777f, 0.004410f, 0.005722f, 0.007114f, 0.008926f, 0.011696f, 0.016006f, 0.021683f, 0.031342f, 0.048309f, 0.080750f, 0.149170f, - 0.294678f, 0.534668f, 0.749512f, 0.866211f, 0.922363f, 0.950684f, 0.966309f, 0.975586f, 0.981934f, 0.985840f, 0.989258f, 0.991699f, - 0.992676f, 0.994141f, 0.994629f, 0.996094f, 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000247f, - 0.000238f, 0.000407f, 0.000482f, 0.000484f, 0.000604f, 0.000869f, 0.000909f, 0.000721f, 0.000955f, 0.001000f, 0.001241f, 0.001342f, - 0.001655f, 0.001721f, 0.002329f, 0.002623f, 0.003086f, 0.003677f, 0.004349f, 0.005600f, 0.006962f, 0.008835f, 0.011581f, 0.015274f, - 0.021286f, 0.030884f, 0.047760f, 0.079895f, 0.148926f, 0.298584f, 0.543945f, 0.758301f, 0.872559f, 0.925781f, 0.953125f, 0.967773f, - 0.977051f, 0.982910f, 0.986816f, 0.989258f, 0.991211f, 0.993164f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000237f, 0.000410f, 0.000472f, 0.000481f, 0.000483f, 0.000485f, 0.000687f, 0.000913f, - 0.000956f, 0.000966f, 0.000997f, 0.001341f, 0.001415f, 0.001813f, 0.002029f, 0.002043f, 0.002594f, 0.003210f, 0.003641f, 0.004734f, - 0.005356f, 0.006882f, 0.008675f, 0.011360f, 0.014816f, 0.020920f, 0.030380f, 0.047485f, 0.080200f, 0.151733f, 0.308105f, 0.561523f, - 0.772949f, 0.881348f, 0.931152f, 0.956055f, 0.969727f, 0.978516f, 0.983887f, 0.987793f, 0.990234f, 0.992188f, 0.993652f, 0.994629f, - 0.995605f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000254f, 0.000345f, 0.000468f, - 0.000585f, 0.000482f, 0.000603f, 0.000485f, 0.000862f, 0.000928f, 0.000965f, 0.001174f, 0.001162f, 0.001405f, 0.001761f, 0.002016f, - 0.002182f, 0.002733f, 0.002831f, 0.003504f, 0.004456f, 0.005440f, 0.006775f, 0.008553f, 0.011055f, 0.014694f, 0.020859f, 0.030334f, - 0.047852f, 0.081970f, 0.157593f, 0.325439f, 0.586914f, 0.790527f, 0.890137f, 0.936523f, 0.959473f, 0.973145f, 0.980469f, 0.985352f, - 0.988770f, 0.990723f, 0.992676f, 0.994141f, 0.995117f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000241f, 0.000237f, 0.000340f, 0.000457f, 0.000580f, 0.000481f, 0.000601f, 0.000605f, 0.000742f, 0.000951f, 0.000953f, - 0.001131f, 0.001257f, 0.001396f, 0.001730f, 0.001936f, 0.002102f, 0.002682f, 0.002762f, 0.003733f, 0.004425f, 0.005344f, 0.006516f, - 0.008354f, 0.010971f, 0.014793f, 0.020859f, 0.030640f, 0.048859f, 0.085144f, 0.167358f, 0.350586f, 0.620117f, 0.811035f, 0.900391f, - 0.942383f, 0.963379f, 0.975098f, 0.981934f, 0.986816f, 0.989746f, 0.992188f, 0.993164f, 0.994629f, 0.995117f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000131f, 0.000301f, 0.000430f, 0.000470f, 0.000593f, - 0.000571f, 0.000587f, 0.000693f, 0.000906f, 0.000959f, 0.000965f, 0.001094f, 0.001364f, 0.001522f, 0.001783f, 0.002094f, 0.002615f, - 0.003038f, 0.003365f, 0.004307f, 0.005135f, 0.006493f, 0.008347f, 0.011055f, 0.014824f, 0.020844f, 0.031204f, 0.050507f, 0.090027f, - 0.182129f, 0.385498f, 0.659668f, 0.834473f, 0.913086f, 0.949219f, 0.967285f, 0.978027f, 0.983887f, 0.987793f, 0.991211f, 0.992188f, - 0.994141f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000189f, 0.000122f, 0.000122f, - 0.000241f, 0.000295f, 0.000425f, 0.000457f, 0.000592f, 0.000481f, 0.000603f, 0.000697f, 0.000926f, 0.000943f, 0.000960f, 0.001022f, - 0.001435f, 0.001632f, 0.001658f, 0.002024f, 0.002468f, 0.003010f, 0.003210f, 0.004124f, 0.005219f, 0.006351f, 0.008163f, 0.010933f, - 0.015030f, 0.021271f, 0.032257f, 0.053009f, 0.097534f, 0.203003f, 0.432373f, 0.704102f, 0.858887f, 0.924805f, 0.955566f, 0.970703f, - 0.979492f, 0.985840f, 0.989258f, 0.991699f, 0.993164f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000214f, 0.000201f, 0.000239f, 0.000241f, 0.000383f, 0.000461f, 0.000474f, 0.000479f, 0.000598f, - 0.000736f, 0.000905f, 0.000947f, 0.001072f, 0.001180f, 0.001376f, 0.001572f, 0.001752f, 0.001900f, 0.002258f, 0.002792f, 0.003487f, - 0.004055f, 0.005161f, 0.006424f, 0.008209f, 0.010933f, 0.015030f, 0.021942f, 0.033630f, 0.056671f, 0.107666f, 0.233276f, 0.492188f, - 0.752441f, 0.881836f, 0.937012f, 0.961914f, 0.975098f, 0.982910f, 0.987305f, 0.990234f, 0.992676f, 0.994629f, 0.998535f, 0.998535f, - 0.998535f, 0.998047f, 0.998535f, 0.998535f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000132f, 0.000224f, 0.000129f, 0.000237f, 0.000240f, - 0.000337f, 0.000430f, 0.000468f, 0.000579f, 0.000593f, 0.000602f, 0.000881f, 0.000936f, 0.000956f, 0.000963f, 0.001282f, 0.001519f, - 0.001607f, 0.001852f, 0.002150f, 0.002737f, 0.003508f, 0.003990f, 0.005077f, 0.006516f, 0.008179f, 0.011185f, 0.015511f, 0.022446f, - 0.035614f, 0.061859f, 0.122681f, 0.275879f, 0.563965f, 0.798828f, 0.903809f, 0.946777f, 0.967773f, 0.978516f, 0.984863f, 0.988770f, - 0.991699f, 0.993652f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000149f, 0.000122f, 0.000207f, 0.000371f, 0.000430f, 0.000573f, 0.000591f, 0.000598f, 0.000597f, 0.000804f, - 0.000901f, 0.000948f, 0.001053f, 0.001083f, 0.001376f, 0.001584f, 0.001878f, 0.002331f, 0.002529f, 0.003376f, 0.003944f, 0.005230f, - 0.006504f, 0.008537f, 0.011459f, 0.015747f, 0.024002f, 0.038361f, 0.069458f, 0.144409f, 0.336914f, 0.644043f, 0.841797f, 0.922363f, - 0.957520f, 0.972656f, 0.981934f, 0.987305f, 0.990234f, 0.993164f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000230f, 0.000234f, 0.000235f, 0.000268f, 0.000400f, - 0.000448f, 0.000585f, 0.000590f, 0.000599f, 0.000641f, 0.000788f, 0.000930f, 0.000968f, 0.001107f, 0.001251f, 0.001656f, 0.001701f, - 0.002047f, 0.002691f, 0.003437f, 0.003998f, 0.004829f, 0.006329f, 0.008492f, 0.011757f, 0.016525f, 0.025345f, 0.042297f, 0.080200f, - 0.177490f, 0.420654f, 0.724121f, 0.878906f, 0.938965f, 0.964355f, 0.977539f, 0.984863f, 0.989746f, 0.992188f, 0.997559f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000214f, 0.000235f, 0.000228f, 0.000240f, 0.000429f, 0.000439f, 0.000574f, 0.000654f, 0.000583f, 0.000493f, 0.000788f, 0.000813f, - 0.000947f, 0.001062f, 0.001225f, 0.001569f, 0.001721f, 0.002048f, 0.002844f, 0.002979f, 0.003902f, 0.004997f, 0.006454f, 0.008698f, - 0.012192f, 0.018143f, 0.027634f, 0.047913f, 0.095886f, 0.228394f, 0.526855f, 0.796875f, 0.910156f, 0.953125f, 0.973145f, 0.982422f, - 0.987793f, 0.991699f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000236f, 0.000232f, 0.000299f, 0.000446f, 0.000417f, - 0.000466f, 0.000580f, 0.000508f, 0.000710f, 0.000800f, 0.000940f, 0.000954f, 0.001228f, 0.001496f, 0.001631f, 0.002043f, 0.002798f, - 0.003359f, 0.004139f, 0.004951f, 0.006680f, 0.008995f, 0.012764f, 0.018860f, 0.030823f, 0.056061f, 0.120911f, 0.307617f, 0.645508f, - 0.855957f, 0.934082f, 0.964355f, 0.978516f, 0.985840f, 0.990234f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f, - 0.000122f, 0.000226f, 0.000373f, 0.000272f, 0.000325f, 0.000460f, 0.000471f, 0.000477f, 0.000673f, 0.000877f, 0.000929f, 0.000951f, - 0.001129f, 0.001446f, 0.001614f, 0.002096f, 0.002619f, 0.002939f, 0.003941f, 0.005363f, 0.006844f, 0.009491f, 0.013596f, 0.020905f, - 0.035370f, 0.068420f, 0.161743f, 0.426270f, 0.755859f, 0.900879f, 0.952148f, 0.973145f, 0.983398f, 0.989746f, 0.997070f, 0.997070f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000111f, 0.000236f, 0.000297f, 0.000368f, 0.000449f, 0.000467f, - 0.000588f, 0.000641f, 0.000813f, 0.000924f, 0.001035f, 0.001124f, 0.001348f, 0.001764f, 0.001922f, 0.002439f, 0.003160f, 0.004005f, - 0.005280f, 0.007107f, 0.010109f, 0.014748f, 0.023148f, 0.041595f, 0.088440f, 0.232910f, 0.578125f, 0.841797f, 0.933594f, 0.965820f, - 0.980469f, 0.987305f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000014f, 0.000011f, 0.000116f, - 0.000148f, 0.000128f, 0.000369f, 0.000418f, 0.000563f, 0.000470f, 0.000592f, 0.000776f, 0.000901f, 0.000937f, 0.001112f, 0.001348f, - 0.001743f, 0.001904f, 0.002470f, 0.003187f, 0.003986f, 0.005360f, 0.007557f, 0.010674f, 0.016068f, 0.026871f, 0.051666f, 0.122925f, - 0.356445f, 0.729492f, 0.901855f, 0.955078f, 0.976074f, 0.985840f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, - 0.000122f, 0.000122f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000028f, 0.000019f, 0.000014f, 0.000011f, 0.000033f, 0.000118f, 0.000247f, 0.000305f, 0.000412f, 0.000447f, 0.000576f, 0.000587f, - 0.000693f, 0.000850f, 0.000949f, 0.001083f, 0.001319f, 0.001557f, 0.001957f, 0.002424f, 0.003340f, 0.004417f, 0.005688f, 0.007774f, - 0.011497f, 0.017731f, 0.032257f, 0.068604f, 0.189575f, 0.541992f, 0.843262f, 0.938477f, 0.970703f, 0.983887f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000121f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000067f, 0.000042f, 0.000028f, 0.000020f, 0.000015f, 0.000066f, 0.000009f, 0.000101f, 0.000118f, - 0.000260f, 0.000358f, 0.000520f, 0.000456f, 0.000563f, 0.000711f, 0.000872f, 0.000980f, 0.001059f, 0.001309f, 0.001699f, 0.002066f, - 0.002708f, 0.003248f, 0.004166f, 0.005836f, 0.008224f, 0.012619f, 0.021484f, 0.041260f, 0.101074f, 0.323486f, 0.733887f, 0.912109f, - 0.962402f, 0.980957f, 0.995117f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000000f, 0.000000f, 0.000119f, 0.000119f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000105f, 0.000067f, 0.000042f, 0.000029f, 0.000022f, - 0.000015f, 0.000011f, 0.000040f, 0.000033f, 0.000153f, 0.000204f, 0.000313f, 0.000501f, 0.000554f, 0.000575f, 0.000585f, 0.000778f, - 0.000925f, 0.000980f, 0.001245f, 0.001634f, 0.001989f, 0.002413f, 0.003433f, 0.004028f, 0.005989f, 0.008911f, 0.014374f, 0.026443f, - 0.057495f, 0.170166f, 0.549805f, 0.864746f, 0.951172f, 0.977051f, 0.994629f, 0.994629f, 0.994629f, 0.994629f, 0.995605f, 0.994629f, - 0.000000f, 0.000046f, 0.000088f, 0.000118f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000108f, 0.000069f, 0.000047f, 0.000030f, 0.000022f, 0.000016f, 0.000012f, 0.000052f, 0.000081f, 0.000100f, 0.000184f, 0.000226f, - 0.000400f, 0.000467f, 0.000452f, 0.000597f, 0.000807f, 0.000895f, 0.000942f, 0.001219f, 0.001611f, 0.002022f, 0.002352f, 0.003222f, - 0.004177f, 0.006481f, 0.009850f, 0.017517f, 0.034668f, 0.090637f, 0.331055f, 0.776367f, 0.932129f, 0.972656f, 0.994141f, 0.994141f, - 0.994629f, 0.994141f, 0.994629f, 0.994629f, 0.000000f, 0.000000f, 0.000000f, 0.000107f, 0.000115f, 0.000112f, 0.000119f, 0.000118f, - 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000117f, 0.000072f, 0.000049f, 0.000032f, 0.000023f, 0.000017f, 0.000013f, - 0.000011f, 0.000008f, 0.000075f, 0.000151f, 0.000207f, 0.000305f, 0.000509f, 0.000499f, 0.000560f, 0.000704f, 0.000863f, 0.000917f, - 0.001220f, 0.001505f, 0.001740f, 0.002174f, 0.003153f, 0.004559f, 0.007095f, 0.011826f, 0.022247f, 0.051147f, 0.173462f, 0.618652f, - 0.902344f, 0.966309f, 0.993164f, 0.993652f, 0.992676f, 0.992676f, 0.993164f, 0.993164f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000060f, 0.000102f, 0.000113f, 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000078f, - 0.000052f, 0.000038f, 0.000027f, 0.000019f, 0.000015f, 0.000011f, 0.000054f, 0.000007f, 0.000085f, 0.000108f, 0.000258f, 0.000466f, - 0.000533f, 0.000560f, 0.000662f, 0.000849f, 0.000856f, 0.000965f, 0.001180f, 0.001678f, 0.002075f, 0.003193f, 0.005016f, 0.008095f, - 0.014343f, 0.030899f, 0.090820f, 0.401367f, 0.848145f, 0.956543f, 0.992188f, 0.992188f, 0.992188f, 0.992676f, 0.991699f, 0.992188f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000059f, 0.000096f, 0.000107f, 0.000112f, 0.000115f, 0.000116f, - 0.000117f, 0.000118f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000088f, 0.000059f, 0.000041f, 0.000031f, 0.000022f, 0.000017f, 0.000013f, 0.000010f, - 0.000056f, 0.000091f, 0.000183f, 0.000201f, 0.000309f, 0.000506f, 0.000547f, 0.000525f, 0.000629f, 0.000613f, 0.000817f, 0.001012f, - 0.001640f, 0.002420f, 0.003588f, 0.005520f, 0.009453f, 0.019119f, 0.050415f, 0.214722f, 0.751465f, 0.943848f, 0.990723f, 0.990723f, - 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000055f, 0.000095f, 0.000103f, 0.000105f, 0.000112f, 0.000114f, 0.000115f, 0.000117f, 0.000117f, 0.000117f, 0.000118f, - 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000105f, 0.000069f, 0.000048f, - 0.000035f, 0.000025f, 0.000019f, 0.000015f, 0.000011f, 0.000014f, 0.000008f, 0.000071f, 0.000193f, 0.000311f, 0.000315f, 0.000524f, - 0.000483f, 0.000558f, 0.000591f, 0.000705f, 0.000950f, 0.001389f, 0.002428f, 0.003494f, 0.006321f, 0.012306f, 0.029480f, 0.108948f, - 0.581543f, 0.924316f, 0.989746f, 0.989746f, 0.989258f, 0.989746f, 0.989258f, 0.989746f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000069f, 0.000096f, 0.000103f, 0.000107f, - 0.000109f, 0.000112f, 0.000113f, 0.000115f, 0.000115f, 0.000116f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, - 0.000119f, 0.000119f, 0.000119f, 0.000084f, 0.000061f, 0.000042f, 0.000031f, 0.000023f, 0.000018f, 0.000014f, 0.000011f, 0.000009f, - 0.000095f, 0.000127f, 0.000223f, 0.000402f, 0.000432f, 0.000399f, 0.000494f, 0.000535f, 0.000557f, 0.000933f, 0.001474f, 0.002300f, - 0.004192f, 0.007919f, 0.017838f, 0.057068f, 0.360840f, 0.890625f, 0.986816f, 0.987793f, 0.987305f, 0.987305f, 0.987793f, 0.987305f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000035f, 0.000041f, 0.000088f, 0.000098f, 0.000103f, 0.000106f, 0.000110f, 0.000110f, 0.000113f, 0.000113f, - 0.000115f, 0.000116f, 0.000116f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000111f, 0.000074f, 0.000053f, 0.000038f, - 0.000029f, 0.000022f, 0.000016f, 0.000013f, 0.000010f, 0.000008f, 0.000073f, 0.000152f, 0.000296f, 0.000369f, 0.000365f, 0.000437f, - 0.000507f, 0.000661f, 0.000876f, 0.001451f, 0.002531f, 0.004898f, 0.010384f, 0.031113f, 0.183838f, 0.833008f, 0.984375f, 0.984863f, - 0.984863f, 0.984375f, 0.984863f, 0.984863f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000024f, 0.000044f, 0.000073f, - 0.000087f, 0.000097f, 0.000102f, 0.000105f, 0.000108f, 0.000110f, 0.000111f, 0.000113f, 0.000114f, 0.000114f, 0.000115f, 0.000115f, - 0.000116f, 0.000116f, 0.000101f, 0.000070f, 0.000052f, 0.000037f, 0.000027f, 0.000021f, 0.000016f, 0.000013f, 0.000010f, 0.000008f, - 0.000083f, 0.000183f, 0.000352f, 0.000355f, 0.000362f, 0.000365f, 0.000528f, 0.000790f, 0.001469f, 0.003029f, 0.005970f, 0.017242f, - 0.089050f, 0.728516f, 0.980957f, 0.981445f, 0.981445f, 0.980957f, 0.980957f, 0.981445f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000033f, 0.000041f, 0.000073f, 0.000083f, 0.000088f, 0.000097f, 0.000102f, - 0.000105f, 0.000108f, 0.000108f, 0.000111f, 0.000112f, 0.000113f, 0.000113f, 0.000114f, 0.000097f, 0.000068f, 0.000049f, 0.000038f, - 0.000028f, 0.000021f, 0.000016f, 0.000013f, 0.000010f, 0.000056f, 0.000151f, 0.000243f, 0.000264f, 0.000221f, 0.000328f, 0.000449f, - 0.000850f, 0.001612f, 0.003340f, 0.009361f, 0.043121f, 0.548340f, 0.976074f, 0.976562f, 0.975586f, 0.976074f, 0.976074f, 0.976562f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000019f, 0.000052f, 0.000065f, 0.000077f, 0.000088f, 0.000094f, 0.000098f, 0.000100f, 0.000104f, 0.000106f, 0.000108f, - 0.000109f, 0.000110f, 0.000095f, 0.000069f, 0.000052f, 0.000037f, 0.000028f, 0.000021f, 0.000017f, 0.000013f, 0.000025f, 0.000063f, - 0.000195f, 0.000233f, 0.000205f, 0.000264f, 0.000401f, 0.000789f, 0.001532f, 0.004520f, 0.020844f, 0.321289f, 0.969238f, 0.968750f, - 0.969238f, 0.968750f, 0.969238f, 0.969238f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000018f, 0.000039f, 0.000053f, - 0.000066f, 0.000079f, 0.000086f, 0.000090f, 0.000096f, 0.000100f, 0.000102f, 0.000105f, 0.000098f, 0.000074f, 0.000053f, 0.000041f, - 0.000031f, 0.000023f, 0.000017f, 0.000013f, 0.000028f, 0.000139f, 0.000189f, 0.000179f, 0.000219f, 0.000333f, 0.000840f, 0.002119f, - 0.009193f, 0.144775f, 0.958496f, 0.958496f, 0.958008f, 0.958496f, 0.958008f, 0.958008f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000025f, 0.000040f, 0.000052f, 0.000067f, 0.000077f, 0.000082f, - 0.000089f, 0.000093f, 0.000097f, 0.000079f, 0.000059f, 0.000044f, 0.000033f, 0.000024f, 0.000018f, 0.000014f, 0.000034f, 0.000084f, - 0.000157f, 0.000199f, 0.000309f, 0.000817f, 0.003424f, 0.054901f, 0.940918f, 0.940918f, 0.940918f, 0.940918f, 0.941406f, 0.940430f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000021f, 0.000040f, 0.000054f, 0.000063f, 0.000072f, 0.000078f, 0.000085f, 0.000065f, 0.000049f, - 0.000036f, 0.000026f, 0.000019f, 0.000014f, 0.000042f, 0.000114f, 0.000122f, 0.000276f, 0.001024f, 0.016357f, 0.912109f, 0.912598f, - 0.911621f, 0.912598f, 0.911621f, 0.913086f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000016f, 0.000032f, 0.000045f, 0.000056f, 0.000065f, 0.000054f, 0.000039f, 0.000028f, 0.000019f, 0.000013f, 0.000049f, 0.000079f, - 0.000226f, 0.003199f, 0.860840f, 0.859863f, 0.860352f, 0.860840f, 0.860840f, 0.860352f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000021f, 0.000035f, - 0.000040f, 0.000027f, 0.000018f, 0.000013f, 0.000033f, 0.000333f, 0.764160f, 0.765137f, 0.764648f, 0.764648f, 0.764648f, 0.765137f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000011f, 0.000009f, 0.600586f, 0.602051f, - 0.602051f, 0.601562f, 0.601074f, 0.601074f, - }, - { - 0.142456f, 0.713867f, 0.883789f, 0.933105f, 0.953613f, 0.964844f, 0.972168f, 0.977539f, 0.980957f, 0.983398f, 0.985352f, 0.987305f, - 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, - 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.012886f, 0.087646f, 0.360840f, 0.709473f, 0.859863f, 0.916992f, 0.943848f, 0.958496f, - 0.967773f, 0.973633f, 0.978516f, 0.980957f, 0.984375f, 0.986328f, 0.987793f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, - 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, - 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.003895f, 0.020126f, 0.063599f, 0.188721f, - 0.464844f, 0.727539f, 0.853027f, 0.909668f, 0.938477f, 0.954590f, 0.965332f, 0.971680f, 0.976562f, 0.979980f, 0.982910f, 0.985840f, - 0.986816f, 0.988770f, 0.990234f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, - 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.002062f, 0.008438f, 0.021774f, 0.049713f, 0.117676f, 0.279541f, 0.541016f, 0.751465f, 0.855469f, 0.909180f, 0.936035f, 0.952637f, - 0.963379f, 0.970703f, 0.975098f, 0.979492f, 0.982910f, 0.984863f, 0.986328f, 0.987793f, 0.989258f, 0.990234f, 0.990723f, 0.992188f, - 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, - 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.001335f, 0.004597f, 0.010628f, 0.020844f, 0.040283f, 0.082764f, 0.177612f, 0.366211f, - 0.605469f, 0.773926f, 0.863281f, 0.910156f, 0.936035f, 0.952148f, 0.962402f, 0.969727f, 0.975098f, 0.979004f, 0.982422f, 0.984863f, - 0.986328f, 0.988281f, 0.988770f, 0.989746f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, - 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000851f, 0.002769f, 0.006130f, 0.010994f, - 0.019394f, 0.034943f, 0.063293f, 0.122253f, 0.244019f, 0.448242f, 0.660156f, 0.798828f, 0.872559f, 0.914062f, 0.937988f, 0.954102f, - 0.961914f, 0.970215f, 0.974609f, 0.978516f, 0.981934f, 0.984375f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.991699f, - 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, - 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000466f, 0.001933f, 0.003809f, 0.007095f, 0.011353f, 0.018204f, 0.030029f, 0.050568f, 0.090759f, 0.170898f, 0.318848f, 0.526367f, - 0.708496f, 0.820801f, 0.884277f, 0.918457f, 0.940918f, 0.954102f, 0.963867f, 0.970215f, 0.975098f, 0.978516f, 0.981934f, 0.984863f, - 0.986328f, 0.988281f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, - 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000487f, 0.001685f, 0.002766f, 0.004467f, 0.007305f, 0.011215f, 0.017136f, 0.026489f, - 0.042419f, 0.071716f, 0.125244f, 0.228271f, 0.399658f, 0.599609f, 0.751953f, 0.842773f, 0.894531f, 0.924805f, 0.943359f, 0.955566f, - 0.965820f, 0.971191f, 0.976562f, 0.979980f, 0.981934f, 0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, - 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, - 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000965f, 0.002024f, 0.003202f, - 0.005009f, 0.007050f, 0.011070f, 0.015869f, 0.023987f, 0.036835f, 0.058563f, 0.097168f, 0.169800f, 0.297852f, 0.484131f, 0.664062f, - 0.789062f, 0.861816f, 0.905273f, 0.930176f, 0.947266f, 0.958984f, 0.967285f, 0.972168f, 0.976562f, 0.980469f, 0.982910f, 0.984863f, - 0.986816f, 0.988770f, 0.989746f, 0.990723f, 0.992188f, 0.992188f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, - 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000244f, 0.000974f, 0.001576f, 0.002403f, 0.003510f, 0.005344f, 0.007332f, 0.010567f, 0.015099f, 0.022064f, 0.032104f, 0.048706f, - 0.078003f, 0.130249f, 0.224243f, 0.378174f, 0.566406f, 0.720703f, 0.820312f, 0.879883f, 0.915039f, 0.936523f, 0.951660f, 0.961426f, - 0.968262f, 0.974121f, 0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, - 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000240f, 0.000609f, 0.001096f, 0.001580f, 0.002674f, 0.004131f, 0.005245f, 0.007660f, - 0.010757f, 0.014221f, 0.019775f, 0.028381f, 0.041870f, 0.064697f, 0.103638f, 0.173706f, 0.293945f, 0.466553f, 0.642090f, 0.769531f, - 0.849121f, 0.895996f, 0.924316f, 0.942871f, 0.956055f, 0.963867f, 0.970703f, 0.975098f, 0.979004f, 0.981934f, 0.984863f, 0.986328f, - 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000000f, 0.000608f, 0.001062f, 0.001268f, - 0.002001f, 0.003099f, 0.003937f, 0.005379f, 0.007595f, 0.010078f, 0.013176f, 0.018524f, 0.025787f, 0.036896f, 0.054932f, 0.085327f, - 0.137573f, 0.229980f, 0.376953f, 0.555664f, 0.708984f, 0.810547f, 0.873047f, 0.909180f, 0.933594f, 0.948730f, 0.959961f, 0.967285f, - 0.973145f, 0.977539f, 0.980469f, 0.983398f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, - 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000244f, 0.000606f, 0.000609f, 0.001317f, 0.001564f, 0.002674f, 0.003273f, 0.004402f, 0.005630f, 0.007141f, 0.009514f, 0.012398f, - 0.016678f, 0.023331f, 0.032776f, 0.047363f, 0.071594f, 0.112610f, 0.183960f, 0.303711f, 0.470215f, 0.639648f, 0.766113f, 0.844727f, - 0.892090f, 0.921875f, 0.941895f, 0.954590f, 0.963379f, 0.970215f, 0.975098f, 0.979004f, 0.981934f, 0.984863f, 0.986328f, 0.987793f, - 0.989746f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, - 0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000244f, 0.000727f, 0.000803f, 0.001575f, 0.002035f, 0.002821f, 0.003527f, - 0.004475f, 0.005421f, 0.007023f, 0.009491f, 0.011879f, 0.015976f, 0.021530f, 0.029587f, 0.041809f, 0.061737f, 0.094360f, 0.150146f, - 0.246460f, 0.393066f, 0.566406f, 0.712891f, 0.812500f, 0.872070f, 0.909180f, 0.933105f, 0.948242f, 0.959961f, 0.967773f, 0.972656f, - 0.977539f, 0.980957f, 0.982910f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, - 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000244f, 0.000244f, 0.000471f, 0.000727f, - 0.000967f, 0.001572f, 0.002161f, 0.002680f, 0.003246f, 0.004337f, 0.005241f, 0.006950f, 0.009087f, 0.011497f, 0.015038f, 0.019913f, - 0.026688f, 0.037537f, 0.054352f, 0.080383f, 0.125122f, 0.202515f, 0.327148f, 0.493652f, 0.656250f, 0.774414f, 0.849609f, 0.895508f, - 0.923828f, 0.942383f, 0.954590f, 0.963867f, 0.971191f, 0.975586f, 0.979004f, 0.982422f, 0.984863f, 0.987305f, 0.988281f, 0.989746f, - 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, - 0.000121f, 0.000244f, 0.000244f, 0.000715f, 0.001089f, 0.001278f, 0.001781f, 0.002275f, 0.002548f, 0.003334f, 0.004150f, 0.005314f, - 0.006824f, 0.008430f, 0.011200f, 0.014145f, 0.018631f, 0.024750f, 0.033905f, 0.047760f, 0.069885f, 0.106445f, 0.169312f, 0.273682f, - 0.426270f, 0.596191f, 0.732422f, 0.823242f, 0.879883f, 0.914062f, 0.936035f, 0.950684f, 0.960938f, 0.968750f, 0.973633f, 0.978516f, - 0.981934f, 0.984375f, 0.986328f, 0.988281f, 0.989258f, 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, - 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999512f, - 0.999023f, 0.999512f, 0.999512f, 0.999023f, 0.000241f, 0.000244f, 0.000365f, 0.000600f, 0.000961f, 0.000972f, 0.001621f, 0.001697f, - 0.002274f, 0.002684f, 0.003359f, 0.004238f, 0.005573f, 0.006691f, 0.008057f, 0.010529f, 0.013832f, 0.017593f, 0.022812f, 0.031174f, - 0.042786f, 0.061462f, 0.092407f, 0.143799f, 0.231201f, 0.366943f, 0.535645f, 0.688477f, 0.794922f, 0.861816f, 0.902832f, 0.928711f, - 0.945801f, 0.957520f, 0.966797f, 0.972656f, 0.976562f, 0.980469f, 0.983398f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991699f, - 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, - 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000243f, 0.000365f, 0.000365f, - 0.000798f, 0.000968f, 0.001249f, 0.001528f, 0.001798f, 0.002457f, 0.002798f, 0.003494f, 0.004353f, 0.005306f, 0.006363f, 0.008141f, - 0.010147f, 0.012596f, 0.016006f, 0.021423f, 0.028503f, 0.039185f, 0.055420f, 0.081116f, 0.124390f, 0.198120f, 0.316895f, 0.478516f, - 0.641113f, 0.763672f, 0.842773f, 0.891113f, 0.921387f, 0.941406f, 0.954590f, 0.963867f, 0.970215f, 0.975586f, 0.979492f, 0.982910f, - 0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, - 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000238f, 0.000365f, 0.000365f, 0.000598f, 0.000820f, 0.001200f, 0.001279f, 0.001631f, 0.001736f, 0.002172f, 0.002874f, - 0.003576f, 0.004391f, 0.005096f, 0.006176f, 0.007545f, 0.009674f, 0.012505f, 0.015945f, 0.020187f, 0.026550f, 0.035706f, 0.049835f, - 0.072510f, 0.109253f, 0.171631f, 0.275391f, 0.426514f, 0.594238f, 0.730469f, 0.822754f, 0.877930f, 0.913574f, 0.936523f, 0.951172f, - 0.961426f, 0.969727f, 0.974609f, 0.978027f, 0.982422f, 0.984863f, 0.986816f, 0.988770f, 0.989746f, 0.991699f, 0.992188f, 0.993164f, - 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000364f, 0.000486f, 0.000487f, 0.000562f, 0.000822f, 0.000967f, - 0.001213f, 0.001871f, 0.001803f, 0.002485f, 0.002796f, 0.003410f, 0.004242f, 0.005070f, 0.006153f, 0.007698f, 0.009262f, 0.011635f, - 0.014709f, 0.019104f, 0.024521f, 0.033295f, 0.045746f, 0.065674f, 0.096741f, 0.150635f, 0.241455f, 0.380127f, 0.548828f, 0.698242f, - 0.802246f, 0.867188f, 0.906738f, 0.931152f, 0.948242f, 0.959473f, 0.967285f, 0.973633f, 0.978516f, 0.981445f, 0.984375f, 0.986328f, - 0.988281f, 0.989258f, 0.990723f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.996582f, - 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000350f, 0.000483f, - 0.000486f, 0.000604f, 0.000743f, 0.001093f, 0.001187f, 0.001297f, 0.001601f, 0.001921f, 0.002501f, 0.002922f, 0.003296f, 0.004200f, - 0.005211f, 0.006054f, 0.007603f, 0.008904f, 0.011169f, 0.014091f, 0.017685f, 0.023331f, 0.030991f, 0.042358f, 0.059326f, 0.087646f, - 0.134521f, 0.213867f, 0.341309f, 0.506348f, 0.665039f, 0.780762f, 0.854492f, 0.899414f, 0.927246f, 0.945312f, 0.957520f, 0.966309f, - 0.973145f, 0.977539f, 0.981445f, 0.984375f, 0.986328f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, - 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000000f, 0.000120f, 0.000360f, 0.000485f, 0.000486f, 0.000487f, 0.000604f, 0.000947f, 0.001201f, 0.001374f, 0.001715f, - 0.002127f, 0.002239f, 0.002876f, 0.003426f, 0.004063f, 0.005276f, 0.005810f, 0.006744f, 0.008713f, 0.010597f, 0.013680f, 0.016754f, - 0.021744f, 0.028778f, 0.039093f, 0.054901f, 0.079956f, 0.121399f, 0.191895f, 0.307861f, 0.468262f, 0.633301f, 0.760742f, 0.842285f, - 0.892090f, 0.923340f, 0.942383f, 0.956543f, 0.965332f, 0.972168f, 0.977539f, 0.980469f, 0.983887f, 0.985840f, 0.988281f, 0.989746f, - 0.990723f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000121f, 0.000219f, 0.000474f, 0.000484f, 0.000486f, 0.000487f, - 0.000720f, 0.001108f, 0.001199f, 0.001209f, 0.001689f, 0.002253f, 0.002489f, 0.002916f, 0.003714f, 0.004040f, 0.005054f, 0.006001f, - 0.006737f, 0.008713f, 0.010376f, 0.012665f, 0.016251f, 0.020615f, 0.027145f, 0.036499f, 0.050720f, 0.073181f, 0.110474f, 0.174072f, - 0.280518f, 0.434570f, 0.604980f, 0.742188f, 0.830566f, 0.885742f, 0.918945f, 0.940918f, 0.954102f, 0.964355f, 0.971680f, 0.977051f, - 0.980957f, 0.984375f, 0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, - 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000000f, 0.000120f, 0.000239f, - 0.000319f, 0.000475f, 0.000484f, 0.000485f, 0.000618f, 0.000844f, 0.001094f, 0.001201f, 0.001570f, 0.001782f, 0.002010f, 0.002407f, - 0.003046f, 0.003099f, 0.004208f, 0.004700f, 0.005882f, 0.006878f, 0.007980f, 0.009949f, 0.012344f, 0.015358f, 0.019821f, 0.026047f, - 0.034271f, 0.047455f, 0.067993f, 0.102112f, 0.160034f, 0.258057f, 0.406494f, 0.578613f, 0.723633f, 0.820312f, 0.880371f, 0.916016f, - 0.938965f, 0.953125f, 0.963867f, 0.971191f, 0.976562f, 0.980469f, 0.983887f, 0.985840f, 0.988770f, 0.989746f, 0.991699f, 0.992676f, - 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.999023f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000242f, 0.000455f, 0.000481f, 0.000583f, 0.000601f, 0.000804f, 0.000912f, 0.001247f, - 0.001319f, 0.001571f, 0.001793f, 0.002337f, 0.002464f, 0.003099f, 0.003164f, 0.003809f, 0.004627f, 0.005764f, 0.006397f, 0.008118f, - 0.009605f, 0.011917f, 0.015083f, 0.018692f, 0.024384f, 0.032806f, 0.044983f, 0.063477f, 0.095337f, 0.148560f, 0.240112f, 0.382324f, - 0.556641f, 0.708984f, 0.812500f, 0.875488f, 0.913574f, 0.937500f, 0.953125f, 0.963867f, 0.971191f, 0.977051f, 0.980957f, 0.983887f, - 0.986816f, 0.988281f, 0.990234f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995605f, 0.995605f, 0.996094f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000240f, 0.000242f, 0.000524f, 0.000597f, - 0.000604f, 0.000606f, 0.000674f, 0.001040f, 0.001238f, 0.001427f, 0.001637f, 0.001670f, 0.002104f, 0.002432f, 0.002775f, 0.003416f, - 0.003860f, 0.004482f, 0.005573f, 0.006374f, 0.007828f, 0.009384f, 0.011635f, 0.014175f, 0.018219f, 0.023224f, 0.031052f, 0.042603f, - 0.060730f, 0.089661f, 0.139526f, 0.225464f, 0.363525f, 0.538574f, 0.696289f, 0.806152f, 0.872559f, 0.912109f, 0.937012f, 0.952637f, - 0.963867f, 0.971191f, 0.976562f, 0.981445f, 0.984863f, 0.987305f, 0.988770f, 0.990723f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, - 0.995117f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, - 0.000192f, 0.000240f, 0.000242f, 0.000535f, 0.000478f, 0.000600f, 0.000843f, 0.000925f, 0.001027f, 0.001236f, 0.001502f, 0.001490f, - 0.001658f, 0.002256f, 0.002430f, 0.002880f, 0.003056f, 0.003983f, 0.004292f, 0.005333f, 0.006264f, 0.007393f, 0.009064f, 0.011131f, - 0.013741f, 0.017242f, 0.022690f, 0.029922f, 0.040680f, 0.057831f, 0.085022f, 0.132446f, 0.214844f, 0.349121f, 0.524414f, 0.688477f, - 0.801758f, 0.871094f, 0.912109f, 0.937500f, 0.953125f, 0.964355f, 0.971680f, 0.977539f, 0.981445f, 0.985352f, 0.987305f, 0.989258f, - 0.991211f, 0.992188f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000232f, 0.000233f, 0.000363f, 0.000457f, 0.000714f, 0.000724f, 0.000727f, - 0.000847f, 0.000992f, 0.001177f, 0.001525f, 0.001560f, 0.001740f, 0.002090f, 0.002329f, 0.002718f, 0.003372f, 0.003902f, 0.004307f, - 0.005184f, 0.005886f, 0.007446f, 0.008667f, 0.010574f, 0.013588f, 0.016556f, 0.021744f, 0.028854f, 0.039124f, 0.055176f, 0.081726f, - 0.127075f, 0.206421f, 0.338867f, 0.515625f, 0.683105f, 0.800293f, 0.870605f, 0.912598f, 0.937500f, 0.954590f, 0.965332f, 0.973145f, - 0.978516f, 0.982422f, 0.985840f, 0.988281f, 0.989746f, 0.991211f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000103f, 0.000120f, 0.000240f, 0.000240f, - 0.000484f, 0.000574f, 0.000596f, 0.000837f, 0.000820f, 0.000859f, 0.000985f, 0.001070f, 0.001509f, 0.001554f, 0.001785f, 0.002214f, - 0.002476f, 0.002754f, 0.002991f, 0.003487f, 0.004303f, 0.005074f, 0.005920f, 0.007126f, 0.008743f, 0.010361f, 0.013023f, 0.016403f, - 0.021011f, 0.027817f, 0.037811f, 0.053375f, 0.079041f, 0.123291f, 0.201172f, 0.333252f, 0.511719f, 0.682129f, 0.801270f, 0.872070f, - 0.914062f, 0.939941f, 0.955078f, 0.966309f, 0.973633f, 0.979004f, 0.982910f, 0.986328f, 0.988770f, 0.990234f, 0.991699f, 0.992676f, - 0.993652f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000079f, 0.000053f, 0.000118f, 0.000418f, 0.000358f, 0.000363f, 0.000678f, 0.000708f, 0.000825f, 0.000838f, 0.000878f, 0.001146f, - 0.000978f, 0.001483f, 0.001541f, 0.001769f, 0.001812f, 0.002434f, 0.002699f, 0.003225f, 0.003298f, 0.004002f, 0.004948f, 0.005932f, - 0.007084f, 0.008461f, 0.010414f, 0.012665f, 0.015915f, 0.020615f, 0.027023f, 0.036743f, 0.051941f, 0.077332f, 0.120789f, 0.198608f, - 0.331543f, 0.512695f, 0.686523f, 0.805664f, 0.875488f, 0.917480f, 0.941406f, 0.957031f, 0.968262f, 0.975098f, 0.980469f, 0.983887f, - 0.986816f, 0.989258f, 0.990723f, 0.992188f, 0.993164f, 0.994629f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000109f, 0.000232f, 0.000349f, 0.000478f, 0.000483f, 0.000483f, 0.000609f, - 0.000795f, 0.000835f, 0.000806f, 0.000726f, 0.001022f, 0.001222f, 0.001442f, 0.001536f, 0.001650f, 0.001714f, 0.002377f, 0.002588f, - 0.003159f, 0.003643f, 0.004036f, 0.004929f, 0.005718f, 0.006813f, 0.008072f, 0.009880f, 0.012527f, 0.015854f, 0.020035f, 0.026352f, - 0.035950f, 0.051178f, 0.076416f, 0.119751f, 0.198730f, 0.334229f, 0.519531f, 0.694824f, 0.812988f, 0.880859f, 0.920898f, 0.944336f, - 0.958984f, 0.969727f, 0.976562f, 0.980957f, 0.984863f, 0.987793f, 0.989746f, 0.991211f, 0.992676f, 0.993652f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000068f, 0.000265f, - 0.000361f, 0.000478f, 0.000480f, 0.000479f, 0.000568f, 0.000693f, 0.000714f, 0.000806f, 0.000843f, 0.000919f, 0.001222f, 0.001376f, - 0.001531f, 0.001554f, 0.001987f, 0.002342f, 0.002558f, 0.002798f, 0.003132f, 0.004021f, 0.004864f, 0.005455f, 0.006664f, 0.008110f, - 0.009613f, 0.011955f, 0.015335f, 0.019608f, 0.025879f, 0.035522f, 0.050629f, 0.075623f, 0.120239f, 0.201416f, 0.342041f, 0.533203f, - 0.707031f, 0.821777f, 0.887695f, 0.925293f, 0.946777f, 0.961914f, 0.971680f, 0.977539f, 0.982422f, 0.985352f, 0.988281f, 0.989746f, - 0.992188f, 0.993164f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000322f, 0.000241f, 0.000478f, 0.000480f, 0.000480f, 0.000510f, 0.000695f, 0.000710f, - 0.000958f, 0.000765f, 0.001075f, 0.001116f, 0.001318f, 0.001606f, 0.001546f, 0.001916f, 0.002306f, 0.002499f, 0.002905f, 0.003202f, - 0.003914f, 0.004498f, 0.005459f, 0.006611f, 0.007687f, 0.009331f, 0.011757f, 0.014923f, 0.019241f, 0.025833f, 0.035492f, 0.050507f, - 0.076233f, 0.122131f, 0.207153f, 0.355225f, 0.551758f, 0.724609f, 0.833496f, 0.894531f, 0.930664f, 0.951660f, 0.964844f, 0.973145f, - 0.979492f, 0.983887f, 0.986816f, 0.989258f, 0.991211f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.997559f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000351f, 0.000458f, 0.000476f, - 0.000480f, 0.000482f, 0.000528f, 0.000650f, 0.000704f, 0.000956f, 0.000828f, 0.000963f, 0.001111f, 0.001265f, 0.001474f, 0.001806f, - 0.001872f, 0.002308f, 0.002445f, 0.002701f, 0.003229f, 0.003851f, 0.004375f, 0.005356f, 0.006317f, 0.007458f, 0.009300f, 0.011574f, - 0.014725f, 0.019165f, 0.025696f, 0.035461f, 0.050812f, 0.077637f, 0.125977f, 0.216797f, 0.374756f, 0.576660f, 0.745117f, 0.848145f, - 0.904785f, 0.936523f, 0.956055f, 0.967773f, 0.975586f, 0.980957f, 0.984863f, 0.987793f, 0.990234f, 0.992188f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000292f, 0.000224f, 0.000452f, 0.000453f, 0.000479f, 0.000480f, 0.000517f, 0.000614f, 0.000902f, 0.000712f, 0.000959f, - 0.000978f, 0.001100f, 0.001276f, 0.001461f, 0.001524f, 0.001651f, 0.002041f, 0.002350f, 0.002853f, 0.003433f, 0.003622f, 0.004166f, - 0.005043f, 0.006187f, 0.007534f, 0.009209f, 0.011551f, 0.014908f, 0.019012f, 0.025406f, 0.035461f, 0.051575f, 0.079651f, 0.131714f, - 0.230957f, 0.401367f, 0.607910f, 0.769531f, 0.863281f, 0.914062f, 0.942871f, 0.959961f, 0.970703f, 0.978027f, 0.982910f, 0.986816f, - 0.988770f, 0.991699f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, 0.000355f, 0.000449f, 0.000462f, 0.000474f, 0.000477f, - 0.000482f, 0.000846f, 0.000726f, 0.000706f, 0.000953f, 0.000889f, 0.001012f, 0.001259f, 0.001390f, 0.001755f, 0.001658f, 0.002060f, - 0.002369f, 0.002539f, 0.003170f, 0.003460f, 0.004131f, 0.004993f, 0.006008f, 0.007431f, 0.009109f, 0.011444f, 0.014252f, 0.019058f, - 0.025574f, 0.036011f, 0.053162f, 0.083435f, 0.140381f, 0.250488f, 0.436035f, 0.645996f, 0.795898f, 0.880371f, 0.924316f, 0.949219f, - 0.963867f, 0.973145f, 0.980469f, 0.984863f, 0.988281f, 0.990723f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997070f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000239f, - 0.000306f, 0.000440f, 0.000437f, 0.000474f, 0.000478f, 0.000481f, 0.000523f, 0.000664f, 0.000731f, 0.000802f, 0.000935f, 0.001022f, - 0.001173f, 0.001314f, 0.001504f, 0.001831f, 0.001984f, 0.002317f, 0.002472f, 0.003199f, 0.003370f, 0.004189f, 0.004868f, 0.005924f, - 0.007320f, 0.008926f, 0.011421f, 0.014595f, 0.019119f, 0.026260f, 0.036987f, 0.055176f, 0.088440f, 0.152466f, 0.277832f, 0.479980f, - 0.686523f, 0.823242f, 0.895508f, 0.933105f, 0.955566f, 0.969238f, 0.976562f, 0.982422f, 0.986816f, 0.989746f, 0.996582f, 0.997070f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000280f, 0.000417f, 0.000448f, 0.000468f, 0.000476f, 0.000479f, 0.000490f, - 0.000845f, 0.000688f, 0.000740f, 0.000945f, 0.000998f, 0.001148f, 0.001266f, 0.001414f, 0.001475f, 0.001667f, 0.002262f, 0.002537f, - 0.003019f, 0.003288f, 0.004223f, 0.004768f, 0.005890f, 0.007259f, 0.009026f, 0.011360f, 0.014297f, 0.019272f, 0.026474f, 0.038116f, - 0.058197f, 0.095032f, 0.168945f, 0.313965f, 0.533203f, 0.731445f, 0.850098f, 0.911133f, 0.942871f, 0.961914f, 0.972656f, 0.979980f, - 0.984863f, 0.988770f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000187f, 0.000233f, 0.000141f, 0.000271f, 0.000341f, - 0.000380f, 0.000465f, 0.000473f, 0.000590f, 0.000605f, 0.000798f, 0.000847f, 0.000934f, 0.000946f, 0.000836f, 0.001009f, 0.001142f, - 0.001430f, 0.001495f, 0.001850f, 0.002111f, 0.002541f, 0.003035f, 0.003300f, 0.004139f, 0.004913f, 0.005718f, 0.007141f, 0.008934f, - 0.011475f, 0.014832f, 0.019653f, 0.027573f, 0.039917f, 0.062225f, 0.104919f, 0.192017f, 0.362305f, 0.594238f, 0.775879f, 0.875977f, - 0.925293f, 0.952148f, 0.967773f, 0.977051f, 0.983398f, 0.988281f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000238f, 0.000243f, 0.000238f, 0.000424f, 0.000453f, 0.000467f, 0.000475f, 0.000581f, 0.000689f, 0.000795f, - 0.000634f, 0.000823f, 0.001014f, 0.000900f, 0.001083f, 0.001485f, 0.001731f, 0.001851f, 0.002056f, 0.002373f, 0.002621f, 0.003445f, - 0.004082f, 0.004578f, 0.005821f, 0.007217f, 0.008881f, 0.011330f, 0.014778f, 0.020416f, 0.028473f, 0.042419f, 0.067993f, 0.118286f, - 0.225342f, 0.425293f, 0.661621f, 0.818848f, 0.899902f, 0.939453f, 0.960449f, 0.973145f, 0.980957f, 0.985840f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000224f, 0.000122f, 0.000231f, 0.000245f, 0.000411f, 0.000520f, - 0.000463f, 0.000470f, 0.000587f, 0.000361f, 0.000712f, 0.000694f, 0.000815f, 0.000978f, 0.001055f, 0.001105f, 0.001390f, 0.001438f, - 0.001705f, 0.001984f, 0.002333f, 0.002546f, 0.003408f, 0.003876f, 0.004627f, 0.005783f, 0.007198f, 0.008995f, 0.011383f, 0.015396f, - 0.020828f, 0.030029f, 0.045654f, 0.075439f, 0.137451f, 0.271973f, 0.503418f, 0.728516f, 0.857910f, 0.920410f, 0.951172f, 0.968262f, - 0.977539f, 0.984375f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000173f, 0.000150f, 0.000278f, 0.000376f, 0.000427f, 0.000470f, 0.000352f, 0.000356f, 0.000475f, 0.000441f, 0.000709f, 0.000774f, - 0.000970f, 0.001013f, 0.000998f, 0.001193f, 0.001397f, 0.001677f, 0.001957f, 0.002268f, 0.002529f, 0.003353f, 0.003874f, 0.004555f, - 0.005692f, 0.007160f, 0.008987f, 0.011543f, 0.015732f, 0.021896f, 0.032135f, 0.050140f, 0.086548f, 0.165894f, 0.337646f, 0.593750f, - 0.791504f, 0.892090f, 0.938477f, 0.961914f, 0.974609f, 0.982422f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.995117f, 0.995605f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000187f, 0.000130f, 0.000231f, 0.000315f, 0.000298f, 0.000332f, 0.000343f, - 0.000465f, 0.000472f, 0.000579f, 0.000717f, 0.000839f, 0.000932f, 0.000817f, 0.001086f, 0.001090f, 0.001545f, 0.001735f, 0.001837f, - 0.002485f, 0.002493f, 0.003288f, 0.003828f, 0.004520f, 0.005833f, 0.007156f, 0.009193f, 0.012123f, 0.015839f, 0.022934f, 0.034760f, - 0.056488f, 0.102600f, 0.208862f, 0.427734f, 0.687988f, 0.846191f, 0.919434f, 0.952637f, 0.969727f, 0.979980f, 0.993652f, 0.994629f, - 0.994141f, 0.994629f, 0.994629f, 0.994629f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000133f, - 0.000141f, 0.000234f, 0.000300f, 0.000397f, 0.000436f, 0.000456f, 0.000465f, 0.000534f, 0.000663f, 0.000810f, 0.000796f, 0.000812f, - 0.001062f, 0.001237f, 0.001428f, 0.001565f, 0.001818f, 0.002182f, 0.002783f, 0.002943f, 0.003773f, 0.004715f, 0.005482f, 0.007195f, - 0.009285f, 0.012207f, 0.016922f, 0.024567f, 0.038483f, 0.066101f, 0.127563f, 0.274170f, 0.540527f, 0.774414f, 0.891113f, 0.940430f, - 0.965332f, 0.977539f, 0.993652f, 0.994141f, 0.994629f, 0.994141f, 0.994629f, 0.994141f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000124f, 0.000116f, 0.000119f, 0.000125f, 0.000121f, 0.000197f, 0.000323f, 0.000418f, 0.000446f, 0.000433f, - 0.000467f, 0.000612f, 0.000710f, 0.000783f, 0.000911f, 0.000817f, 0.001161f, 0.001343f, 0.001514f, 0.001707f, 0.002081f, 0.002386f, - 0.002882f, 0.003609f, 0.004627f, 0.005478f, 0.007011f, 0.009384f, 0.012695f, 0.017960f, 0.026901f, 0.044067f, 0.080078f, 0.167114f, - 0.374023f, 0.664062f, 0.845703f, 0.923340f, 0.957031f, 0.974121f, 0.992676f, 0.993652f, 0.993164f, 0.993652f, 0.993652f, 0.993164f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000052f, 0.000039f, 0.000029f, 0.000054f, 0.000045f, 0.000118f, - 0.000128f, 0.000231f, 0.000387f, 0.000429f, 0.000446f, 0.000544f, 0.000539f, 0.000648f, 0.000749f, 0.000790f, 0.000978f, 0.001102f, - 0.001195f, 0.001501f, 0.001761f, 0.001978f, 0.002661f, 0.003170f, 0.003519f, 0.004509f, 0.005344f, 0.007004f, 0.009361f, 0.013229f, - 0.019196f, 0.030258f, 0.052002f, 0.102661f, 0.234131f, 0.511230f, 0.774902f, 0.898438f, 0.947754f, 0.970215f, 0.992188f, 0.992676f, - 0.993164f, 0.992676f, 0.992188f, 0.992188f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000070f, 0.000052f, - 0.000038f, 0.000030f, 0.000023f, 0.000060f, 0.000116f, 0.000121f, 0.000252f, 0.000337f, 0.000306f, 0.000435f, 0.000450f, 0.000562f, - 0.000584f, 0.000722f, 0.000858f, 0.000888f, 0.000969f, 0.001230f, 0.001429f, 0.001576f, 0.001827f, 0.002361f, 0.002863f, 0.003267f, - 0.004047f, 0.005394f, 0.007256f, 0.009781f, 0.013855f, 0.021439f, 0.035034f, 0.065063f, 0.141724f, 0.346680f, 0.665527f, 0.859375f, - 0.934570f, 0.965820f, 0.991699f, 0.991699f, 0.991699f, 0.992188f, 0.991699f, 0.991699f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, - 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000099f, 0.000069f, 0.000051f, 0.000039f, 0.000030f, 0.000023f, 0.000024f, 0.000115f, 0.000103f, 0.000224f, - 0.000204f, 0.000339f, 0.000407f, 0.000437f, 0.000452f, 0.000489f, 0.000663f, 0.000821f, 0.000922f, 0.001004f, 0.001086f, 0.001279f, - 0.001554f, 0.001651f, 0.001997f, 0.002390f, 0.003136f, 0.004223f, 0.005508f, 0.007339f, 0.010094f, 0.014854f, 0.024048f, 0.042664f, - 0.087036f, 0.213867f, 0.516113f, 0.799805f, 0.915527f, 0.958984f, 0.990723f, 0.991211f, 0.990723f, 0.990723f, 0.990723f, 0.991211f, - 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000096f, 0.000073f, 0.000053f, 0.000040f, 0.000031f, - 0.000025f, 0.000020f, 0.000017f, 0.000105f, 0.000110f, 0.000135f, 0.000235f, 0.000380f, 0.000462f, 0.000513f, 0.000556f, 0.000638f, - 0.000804f, 0.000868f, 0.000897f, 0.001002f, 0.001079f, 0.001246f, 0.001596f, 0.002153f, 0.002213f, 0.003094f, 0.004158f, 0.005306f, - 0.007458f, 0.010887f, 0.017166f, 0.028748f, 0.055176f, 0.128174f, 0.350586f, 0.703613f, 0.888184f, 0.951172f, 0.988770f, 0.989746f, - 0.989746f, 0.989746f, 0.989746f, 0.989746f, 0.000122f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000101f, 0.000073f, 0.000057f, 0.000043f, 0.000033f, 0.000027f, 0.000021f, 0.000018f, 0.000105f, 0.000112f, 0.000111f, 0.000161f, - 0.000320f, 0.000390f, 0.000421f, 0.000438f, 0.000559f, 0.000665f, 0.000735f, 0.000719f, 0.000704f, 0.000887f, 0.001223f, 0.001384f, - 0.001867f, 0.002462f, 0.003216f, 0.004032f, 0.005367f, 0.007988f, 0.012054f, 0.019943f, 0.035919f, 0.078064f, 0.215332f, 0.566895f, - 0.845703f, 0.939941f, 0.987793f, 0.988281f, 0.987793f, 0.987793f, 0.988281f, 0.988281f, 0.000000f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000103f, 0.000077f, 0.000061f, 0.000046f, 0.000037f, 0.000030f, 0.000023f, - 0.000019f, 0.000016f, 0.000039f, 0.000094f, 0.000181f, 0.000205f, 0.000350f, 0.000392f, 0.000423f, 0.000510f, 0.000619f, 0.000672f, - 0.000705f, 0.000632f, 0.000807f, 0.001038f, 0.001278f, 0.001894f, 0.002245f, 0.002758f, 0.003883f, 0.005863f, 0.008636f, 0.013672f, - 0.023880f, 0.048828f, 0.127441f, 0.400879f, 0.779297f, 0.925781f, 0.985840f, 0.986328f, 0.986328f, 0.985840f, 0.986328f, 0.986328f, - 0.000000f, 0.000100f, 0.000108f, 0.000118f, 0.000119f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000111f, 0.000086f, - 0.000066f, 0.000051f, 0.000041f, 0.000032f, 0.000026f, 0.000021f, 0.000018f, 0.000015f, 0.000086f, 0.000131f, 0.000190f, 0.000293f, - 0.000419f, 0.000481f, 0.000477f, 0.000438f, 0.000542f, 0.000564f, 0.000599f, 0.000700f, 0.000916f, 0.001122f, 0.001589f, 0.001997f, - 0.002678f, 0.004017f, 0.005814f, 0.009361f, 0.015808f, 0.031250f, 0.075989f, 0.250732f, 0.676758f, 0.904297f, 0.983887f, 0.983887f, - 0.983887f, 0.984375f, 0.984375f, 0.983887f, 0.000000f, 0.000000f, 0.000077f, 0.000112f, 0.000104f, 0.000115f, 0.000115f, 0.000117f, - 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000119f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, - 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000097f, 0.000076f, 0.000060f, 0.000046f, 0.000037f, 0.000030f, 0.000024f, 0.000020f, - 0.000045f, 0.000063f, 0.000091f, 0.000140f, 0.000202f, 0.000333f, 0.000305f, 0.000399f, 0.000462f, 0.000452f, 0.000535f, 0.000531f, - 0.000631f, 0.000866f, 0.000858f, 0.001307f, 0.001844f, 0.002823f, 0.004070f, 0.006264f, 0.010536f, 0.020035f, 0.045990f, 0.145996f, - 0.532227f, 0.874023f, 0.980957f, 0.981445f, 0.980957f, 0.981445f, 0.980957f, 0.981445f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000091f, 0.000103f, 0.000105f, 0.000106f, 0.000111f, 0.000113f, 0.000115f, 0.000114f, 0.000116f, 0.000116f, 0.000117f, 0.000117f, - 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000112f, 0.000084f, 0.000069f, - 0.000055f, 0.000043f, 0.000036f, 0.000028f, 0.000024f, 0.000020f, 0.000028f, 0.000039f, 0.000083f, 0.000141f, 0.000211f, 0.000262f, - 0.000413f, 0.000305f, 0.000370f, 0.000358f, 0.000489f, 0.000564f, 0.000599f, 0.000893f, 0.001084f, 0.001696f, 0.002697f, 0.004074f, - 0.006836f, 0.012878f, 0.028122f, 0.083496f, 0.364014f, 0.826660f, 0.976562f, 0.977539f, 0.977051f, 0.977539f, 0.978027f, 0.977051f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000015f, 0.000086f, 0.000077f, 0.000103f, 0.000100f, 0.000109f, - 0.000110f, 0.000111f, 0.000112f, 0.000112f, 0.000114f, 0.000114f, 0.000115f, 0.000115f, 0.000116f, 0.000115f, 0.000116f, 0.000116f, - 0.000117f, 0.000117f, 0.000117f, 0.000100f, 0.000079f, 0.000066f, 0.000053f, 0.000041f, 0.000035f, 0.000028f, 0.000023f, 0.000019f, - 0.000017f, 0.000034f, 0.000113f, 0.000174f, 0.000257f, 0.000325f, 0.000356f, 0.000324f, 0.000409f, 0.000454f, 0.000474f, 0.000659f, - 0.000778f, 0.001243f, 0.001575f, 0.002472f, 0.004105f, 0.007957f, 0.016800f, 0.047852f, 0.217529f, 0.755371f, 0.972656f, 0.973145f, - 0.973145f, 0.973145f, 0.973145f, 0.973145f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000028f, 0.000049f, 0.000085f, 0.000081f, 0.000096f, 0.000101f, 0.000104f, 0.000106f, 0.000108f, 0.000109f, 0.000110f, - 0.000111f, 0.000112f, 0.000113f, 0.000113f, 0.000114f, 0.000114f, 0.000114f, 0.000115f, 0.000115f, 0.000096f, 0.000078f, 0.000064f, - 0.000051f, 0.000043f, 0.000035f, 0.000029f, 0.000024f, 0.000020f, 0.000026f, 0.000055f, 0.000087f, 0.000135f, 0.000248f, 0.000261f, - 0.000274f, 0.000258f, 0.000296f, 0.000359f, 0.000474f, 0.000627f, 0.001012f, 0.001484f, 0.002630f, 0.004536f, 0.010277f, 0.027405f, - 0.119507f, 0.645996f, 0.966797f, 0.967285f, 0.967285f, 0.967285f, 0.966797f, 0.966797f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000021f, 0.000065f, 0.000074f, - 0.000077f, 0.000091f, 0.000091f, 0.000099f, 0.000098f, 0.000103f, 0.000103f, 0.000106f, 0.000107f, 0.000108f, 0.000109f, 0.000110f, - 0.000111f, 0.000111f, 0.000112f, 0.000096f, 0.000079f, 0.000064f, 0.000053f, 0.000043f, 0.000036f, 0.000030f, 0.000024f, 0.000021f, - 0.000018f, 0.000028f, 0.000072f, 0.000125f, 0.000233f, 0.000243f, 0.000220f, 0.000258f, 0.000320f, 0.000353f, 0.000630f, 0.000932f, - 0.001324f, 0.002357f, 0.005402f, 0.014534f, 0.062561f, 0.493164f, 0.958008f, 0.958008f, 0.958984f, 0.958496f, 0.958496f, 0.958008f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000011f, 0.000035f, 0.000041f, 0.000064f, 0.000074f, 0.000081f, 0.000082f, 0.000090f, - 0.000092f, 0.000096f, 0.000099f, 0.000100f, 0.000102f, 0.000104f, 0.000105f, 0.000106f, 0.000107f, 0.000099f, 0.000082f, 0.000067f, - 0.000055f, 0.000047f, 0.000038f, 0.000031f, 0.000026f, 0.000022f, 0.000018f, 0.000037f, 0.000071f, 0.000111f, 0.000190f, 0.000204f, - 0.000153f, 0.000245f, 0.000299f, 0.000482f, 0.000790f, 0.001330f, 0.002619f, 0.007282f, 0.031097f, 0.318115f, 0.946289f, 0.946777f, - 0.946777f, 0.946777f, 0.946777f, 0.946777f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000008f, 0.000029f, 0.000044f, 0.000055f, 0.000063f, 0.000073f, 0.000075f, 0.000081f, 0.000087f, 0.000090f, 0.000092f, - 0.000094f, 0.000097f, 0.000099f, 0.000100f, 0.000087f, 0.000071f, 0.000059f, 0.000049f, 0.000040f, 0.000034f, 0.000028f, 0.000024f, - 0.000020f, 0.000016f, 0.000072f, 0.000114f, 0.000169f, 0.000147f, 0.000181f, 0.000246f, 0.000367f, 0.000626f, 0.001325f, 0.003117f, - 0.013741f, 0.167480f, 0.929688f, 0.929688f, 0.929688f, 0.930176f, 0.930664f, 0.930176f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000019f, - 0.000030f, 0.000044f, 0.000049f, 0.000062f, 0.000068f, 0.000072f, 0.000078f, 0.000081f, 0.000084f, 0.000087f, 0.000090f, 0.000079f, - 0.000065f, 0.000054f, 0.000044f, 0.000037f, 0.000030f, 0.000025f, 0.000021f, 0.000017f, 0.000052f, 0.000100f, 0.000132f, 0.000130f, - 0.000164f, 0.000297f, 0.000552f, 0.001273f, 0.005009f, 0.071594f, 0.903809f, 0.905273f, 0.904297f, 0.904785f, 0.904785f, 0.904785f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000013f, 0.000028f, 0.000036f, - 0.000045f, 0.000053f, 0.000060f, 0.000066f, 0.000071f, 0.000075f, 0.000071f, 0.000058f, 0.000049f, 0.000040f, 0.000033f, 0.000027f, - 0.000022f, 0.000018f, 0.000032f, 0.000078f, 0.000090f, 0.000123f, 0.000175f, 0.000441f, 0.001637f, 0.022537f, 0.865234f, 0.865234f, - 0.865723f, 0.865723f, 0.865234f, 0.864746f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000017f, 0.000027f, 0.000036f, 0.000042f, - 0.000050f, 0.000056f, 0.000052f, 0.000043f, 0.000035f, 0.000028f, 0.000022f, 0.000018f, 0.000049f, 0.000055f, 0.000047f, 0.000108f, - 0.000342f, 0.004566f, 0.802734f, 0.803711f, 0.803711f, 0.803711f, 0.803711f, 0.803711f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000013f, 0.000022f, 0.000030f, 0.000033f, 0.000027f, - 0.000021f, 0.000015f, 0.000011f, 0.000031f, 0.000045f, 0.000449f, 0.708496f, 0.707520f, 0.708984f, 0.708496f, 0.707520f, 0.708008f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000011f, 0.000006f, 0.000007f, 0.575195f, 0.575195f, - 0.575195f, 0.575195f, 0.575195f, 0.575195f, - }, - { - 0.158813f, 0.632812f, 0.824219f, 0.891602f, 0.924805f, 0.942383f, 0.954102f, 0.962402f, 0.968262f, 0.972656f, 0.976074f, 0.978516f, - 0.980957f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, - 0.993652f, 0.993652f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.019775f, 0.115845f, 0.361084f, 0.642578f, 0.798340f, 0.872559f, 0.911133f, 0.933594f, - 0.947266f, 0.957031f, 0.964355f, 0.968750f, 0.973145f, 0.976562f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986816f, 0.987793f, - 0.988770f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, - 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.006638f, 0.031082f, 0.089661f, 0.222168f, - 0.448242f, 0.663086f, 0.794434f, 0.864258f, 0.903320f, 0.926758f, 0.942383f, 0.953613f, 0.961426f, 0.966797f, 0.972168f, 0.975586f, - 0.978027f, 0.980469f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, - 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, - 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.003246f, 0.013367f, 0.032806f, 0.072754f, 0.152954f, 0.304199f, 0.509766f, 0.687500f, 0.797852f, 0.862305f, 0.900391f, 0.923828f, - 0.940430f, 0.950684f, 0.959473f, 0.965820f, 0.970703f, 0.974121f, 0.977051f, 0.979492f, 0.981934f, 0.983887f, 0.985840f, 0.987305f, - 0.987793f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992188f, 0.993164f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.002029f, 0.007267f, 0.016678f, 0.032288f, 0.061462f, 0.115051f, 0.215088f, 0.376709f, - 0.562988f, 0.712891f, 0.807617f, 0.865234f, 0.901367f, 0.923828f, 0.939453f, 0.950684f, 0.958984f, 0.965332f, 0.970215f, 0.974609f, - 0.977051f, 0.979980f, 0.981934f, 0.983887f, 0.984863f, 0.986328f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.990723f, 0.991699f, - 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, - 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.001274f, 0.004623f, 0.009880f, 0.017792f, - 0.030869f, 0.052673f, 0.091431f, 0.160645f, 0.277832f, 0.442383f, 0.610352f, 0.737793f, 0.819824f, 0.870605f, 0.902832f, 0.924805f, - 0.939941f, 0.950195f, 0.958496f, 0.964844f, 0.970215f, 0.973633f, 0.977051f, 0.979980f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, - 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000943f, 0.003231f, 0.006317f, 0.011040f, 0.018051f, 0.029190f, 0.046936f, 0.075867f, 0.125488f, 0.210449f, 0.341797f, 0.503906f, - 0.652344f, 0.761230f, 0.832031f, 0.877441f, 0.906738f, 0.927734f, 0.940918f, 0.951172f, 0.959473f, 0.965820f, 0.970703f, 0.974121f, - 0.977051f, 0.979492f, 0.981934f, 0.983398f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990234f, 0.990723f, 0.991211f, 0.992188f, - 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, - 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000731f, 0.001970f, 0.004425f, 0.007351f, 0.011627f, 0.017975f, 0.027161f, 0.041779f, - 0.064270f, 0.101685f, 0.164917f, 0.265137f, 0.406494f, 0.561035f, 0.692383f, 0.785156f, 0.845703f, 0.884766f, 0.911621f, 0.930176f, - 0.942871f, 0.953125f, 0.959961f, 0.965332f, 0.970703f, 0.974121f, 0.977539f, 0.979492f, 0.982422f, 0.983887f, 0.985840f, 0.987305f, - 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, - 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.000487f, 0.001872f, 0.003445f, 0.005367f, - 0.008400f, 0.012405f, 0.017822f, 0.025345f, 0.037964f, 0.056244f, 0.085327f, 0.132935f, 0.210327f, 0.325928f, 0.471924f, 0.615723f, - 0.729004f, 0.807617f, 0.859375f, 0.894043f, 0.916504f, 0.934570f, 0.945801f, 0.955078f, 0.961426f, 0.967285f, 0.972168f, 0.975586f, - 0.978516f, 0.980957f, 0.982422f, 0.984863f, 0.985840f, 0.986816f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f, 0.992676f, - 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.997070f, 0.997070f, 0.997559f, - 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.000363f, 0.001300f, 0.002499f, 0.003784f, 0.006153f, 0.008896f, 0.012367f, 0.017227f, 0.024185f, 0.034241f, 0.049591f, 0.072754f, - 0.111023f, 0.170776f, 0.263184f, 0.391113f, 0.535645f, 0.665527f, 0.761719f, 0.828613f, 0.871582f, 0.902344f, 0.922852f, 0.937988f, - 0.949219f, 0.957031f, 0.963867f, 0.968750f, 0.972656f, 0.976074f, 0.979004f, 0.981445f, 0.983887f, 0.984863f, 0.986328f, 0.988281f, - 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999023f, 0.999023f, 0.000365f, 0.000972f, 0.001874f, 0.003323f, 0.004669f, 0.006599f, 0.008919f, 0.012360f, - 0.016785f, 0.022720f, 0.031616f, 0.044647f, 0.064026f, 0.094055f, 0.141235f, 0.215332f, 0.323486f, 0.459229f, 0.597168f, 0.710449f, - 0.791992f, 0.847656f, 0.885254f, 0.910645f, 0.929199f, 0.941895f, 0.952148f, 0.960449f, 0.965332f, 0.970703f, 0.974121f, 0.977539f, - 0.979980f, 0.981934f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.993164f, - 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, - 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999023f, 0.000244f, 0.000764f, 0.001375f, 0.002415f, - 0.003582f, 0.004963f, 0.006973f, 0.008751f, 0.011726f, 0.016113f, 0.021683f, 0.029129f, 0.040283f, 0.057098f, 0.081421f, 0.119019f, - 0.178955f, 0.268311f, 0.390625f, 0.528809f, 0.654785f, 0.751465f, 0.820312f, 0.866211f, 0.896973f, 0.919434f, 0.935547f, 0.946777f, - 0.956055f, 0.962402f, 0.968262f, 0.972168f, 0.975098f, 0.979004f, 0.981445f, 0.983398f, 0.985352f, 0.986816f, 0.987793f, 0.989258f, - 0.990723f, 0.991211f, 0.992188f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, - 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000122f, 0.000606f, 0.001439f, 0.002058f, 0.002743f, 0.004169f, 0.005035f, 0.006775f, 0.009010f, 0.012085f, 0.015717f, 0.020813f, - 0.027573f, 0.037170f, 0.050812f, 0.071472f, 0.102905f, 0.151489f, 0.225708f, 0.332031f, 0.463623f, 0.596191f, 0.707031f, 0.787598f, - 0.844238f, 0.881348f, 0.908691f, 0.927246f, 0.940918f, 0.951660f, 0.958984f, 0.965820f, 0.970215f, 0.974121f, 0.977539f, 0.979980f, - 0.982422f, 0.984375f, 0.985840f, 0.987305f, 0.988281f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, - 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000118f, 0.000846f, 0.001303f, 0.001593f, 0.002180f, 0.003050f, 0.004353f, 0.005577f, - 0.006954f, 0.009331f, 0.011826f, 0.015007f, 0.019653f, 0.025391f, 0.034119f, 0.046112f, 0.063660f, 0.090210f, 0.130737f, 0.192139f, - 0.283203f, 0.404053f, 0.537598f, 0.658691f, 0.753418f, 0.818848f, 0.865234f, 0.896973f, 0.918945f, 0.934570f, 0.946289f, 0.955566f, - 0.962402f, 0.967285f, 0.972168f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, - 0.991211f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, - 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000117f, 0.000487f, 0.000957f, 0.001514f, - 0.002008f, 0.002619f, 0.003424f, 0.004551f, 0.005836f, 0.007381f, 0.009155f, 0.011459f, 0.014366f, 0.018646f, 0.024017f, 0.031281f, - 0.042664f, 0.057068f, 0.080139f, 0.113586f, 0.165894f, 0.243164f, 0.352051f, 0.481934f, 0.610840f, 0.716309f, 0.793945f, 0.847168f, - 0.884766f, 0.910645f, 0.928223f, 0.942383f, 0.952637f, 0.959961f, 0.965332f, 0.970703f, 0.975098f, 0.978027f, 0.980957f, 0.983398f, - 0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000000f, 0.000608f, 0.000952f, 0.001111f, 0.001660f, 0.002102f, 0.002817f, 0.003517f, 0.004742f, 0.005585f, 0.007080f, 0.008980f, - 0.011078f, 0.014191f, 0.017838f, 0.022614f, 0.029404f, 0.038940f, 0.052551f, 0.071533f, 0.100769f, 0.145020f, 0.211548f, 0.307373f, - 0.430176f, 0.561523f, 0.676758f, 0.764648f, 0.828613f, 0.872070f, 0.900879f, 0.921875f, 0.937012f, 0.948730f, 0.957520f, 0.964355f, - 0.969238f, 0.973633f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, - 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000244f, 0.000576f, 0.000727f, 0.001083f, 0.001186f, 0.001810f, 0.002558f, 0.002968f, - 0.003725f, 0.004913f, 0.005955f, 0.007011f, 0.008759f, 0.010918f, 0.013718f, 0.016953f, 0.021423f, 0.027832f, 0.035980f, 0.047913f, - 0.064941f, 0.090332f, 0.128174f, 0.185791f, 0.270264f, 0.384033f, 0.514160f, 0.638184f, 0.736328f, 0.807617f, 0.856934f, 0.891602f, - 0.915039f, 0.932617f, 0.945801f, 0.954102f, 0.962402f, 0.968262f, 0.972168f, 0.976562f, 0.979492f, 0.981445f, 0.983887f, 0.985840f, - 0.987305f, 0.988281f, 0.990234f, 0.990723f, 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, - 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000000f, 0.000244f, 0.000708f, 0.000903f, - 0.001129f, 0.001511f, 0.002031f, 0.002565f, 0.003189f, 0.004112f, 0.004696f, 0.005989f, 0.006954f, 0.008865f, 0.010826f, 0.013031f, - 0.016312f, 0.020493f, 0.026154f, 0.033966f, 0.044159f, 0.059845f, 0.081665f, 0.114929f, 0.164917f, 0.239624f, 0.343750f, 0.469971f, - 0.598145f, 0.706055f, 0.786133f, 0.842773f, 0.881348f, 0.908203f, 0.927246f, 0.941895f, 0.952148f, 0.959961f, 0.966797f, 0.971191f, - 0.976074f, 0.978516f, 0.981445f, 0.983887f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, - 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000122f, 0.000244f, 0.000482f, 0.000674f, 0.001029f, 0.001440f, 0.001746f, 0.002153f, 0.002804f, 0.003206f, 0.003859f, 0.004948f, - 0.005722f, 0.007206f, 0.008568f, 0.010498f, 0.012413f, 0.015793f, 0.019989f, 0.024826f, 0.031799f, 0.041382f, 0.054932f, 0.074768f, - 0.103882f, 0.147949f, 0.213867f, 0.308838f, 0.429932f, 0.560059f, 0.675781f, 0.765625f, 0.827148f, 0.871582f, 0.901367f, 0.923340f, - 0.937988f, 0.949707f, 0.958496f, 0.965820f, 0.969727f, 0.974609f, 0.978027f, 0.980469f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, - 0.989258f, 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.000244f, 0.000363f, 0.000604f, 0.000834f, 0.001020f, 0.001548f, 0.001970f, - 0.002262f, 0.002548f, 0.003157f, 0.003914f, 0.004681f, 0.005962f, 0.006943f, 0.008263f, 0.010277f, 0.012589f, 0.015144f, 0.018951f, - 0.023788f, 0.030014f, 0.039001f, 0.051056f, 0.069092f, 0.094666f, 0.133911f, 0.192993f, 0.279053f, 0.394287f, 0.524414f, 0.646484f, - 0.743652f, 0.812988f, 0.861328f, 0.895020f, 0.917969f, 0.935547f, 0.947754f, 0.957520f, 0.963867f, 0.969238f, 0.974121f, 0.978027f, - 0.980469f, 0.983398f, 0.984863f, 0.987305f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, - 0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000118f, 0.000244f, 0.000244f, 0.000584f, - 0.000837f, 0.000847f, 0.001295f, 0.001681f, 0.002018f, 0.002348f, 0.003014f, 0.003157f, 0.004124f, 0.004547f, 0.005432f, 0.006607f, - 0.008163f, 0.010071f, 0.011925f, 0.014786f, 0.017990f, 0.022659f, 0.028824f, 0.036621f, 0.047882f, 0.063477f, 0.087158f, 0.122559f, - 0.175781f, 0.254639f, 0.363037f, 0.492188f, 0.618652f, 0.722168f, 0.799805f, 0.852051f, 0.889648f, 0.914551f, 0.932129f, 0.944824f, - 0.955078f, 0.962891f, 0.968262f, 0.973633f, 0.977051f, 0.980469f, 0.982910f, 0.984863f, 0.987305f, 0.988281f, 0.990234f, 0.991211f, - 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000242f, 0.000243f, 0.000243f, 0.000481f, 0.000742f, 0.000843f, 0.000969f, 0.001348f, 0.001726f, 0.001791f, 0.002348f, 0.002853f, - 0.003452f, 0.003735f, 0.004757f, 0.005516f, 0.006744f, 0.008102f, 0.009621f, 0.011948f, 0.014320f, 0.017365f, 0.021698f, 0.027298f, - 0.034546f, 0.044891f, 0.059875f, 0.081055f, 0.112915f, 0.161255f, 0.234009f, 0.335693f, 0.462646f, 0.592285f, 0.702637f, 0.785645f, - 0.843750f, 0.883301f, 0.911133f, 0.929688f, 0.944336f, 0.954590f, 0.961914f, 0.967773f, 0.973633f, 0.977539f, 0.980469f, 0.982910f, - 0.985352f, 0.986816f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000100f, 0.000216f, 0.000243f, 0.000365f, 0.000517f, 0.000836f, 0.000964f, 0.001148f, - 0.001472f, 0.001674f, 0.001785f, 0.002438f, 0.002815f, 0.003490f, 0.004070f, 0.004837f, 0.005608f, 0.006630f, 0.008095f, 0.009483f, - 0.011551f, 0.013847f, 0.016953f, 0.020584f, 0.025879f, 0.033051f, 0.042664f, 0.055817f, 0.075500f, 0.105103f, 0.149536f, 0.216553f, - 0.312988f, 0.436768f, 0.568359f, 0.685059f, 0.773926f, 0.835449f, 0.878418f, 0.907227f, 0.927734f, 0.943359f, 0.953125f, 0.962402f, - 0.967285f, 0.973145f, 0.977051f, 0.980469f, 0.983887f, 0.985352f, 0.987305f, 0.989258f, 0.990234f, 0.991699f, 0.992188f, 0.993164f, - 0.994141f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000150f, 0.000242f, 0.000364f, - 0.000441f, 0.000627f, 0.000916f, 0.000959f, 0.000968f, 0.001463f, 0.001671f, 0.002222f, 0.002577f, 0.002714f, 0.003479f, 0.004208f, - 0.004723f, 0.005669f, 0.006886f, 0.007637f, 0.009315f, 0.011154f, 0.013596f, 0.016205f, 0.019821f, 0.024963f, 0.031250f, 0.040375f, - 0.053009f, 0.071167f, 0.098511f, 0.139648f, 0.202271f, 0.293457f, 0.414307f, 0.548340f, 0.669434f, 0.762695f, 0.829590f, 0.874512f, - 0.904785f, 0.926758f, 0.941895f, 0.953613f, 0.961914f, 0.968262f, 0.973633f, 0.977539f, 0.980957f, 0.983398f, 0.985352f, 0.987793f, - 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994629f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, - 0.000000f, 0.000231f, 0.000232f, 0.000363f, 0.000486f, 0.000503f, 0.000724f, 0.001104f, 0.001080f, 0.001271f, 0.001509f, 0.001976f, - 0.002247f, 0.002476f, 0.002895f, 0.003553f, 0.004192f, 0.004871f, 0.005623f, 0.006332f, 0.007584f, 0.008957f, 0.010849f, 0.012917f, - 0.015396f, 0.019226f, 0.023941f, 0.030060f, 0.038513f, 0.050385f, 0.067627f, 0.093140f, 0.131714f, 0.190674f, 0.278076f, 0.395752f, - 0.530273f, 0.655762f, 0.753906f, 0.823242f, 0.870605f, 0.903320f, 0.925781f, 0.941406f, 0.953125f, 0.961914f, 0.969238f, 0.974121f, - 0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000000f, 0.000009f, 0.000116f, 0.000360f, 0.000484f, 0.000485f, 0.000536f, 0.000827f, - 0.000935f, 0.001077f, 0.001204f, 0.001561f, 0.001974f, 0.002136f, 0.002777f, 0.002964f, 0.003517f, 0.004192f, 0.004711f, 0.005505f, - 0.006283f, 0.007408f, 0.008713f, 0.010674f, 0.012375f, 0.015099f, 0.018677f, 0.022797f, 0.028732f, 0.036835f, 0.047974f, 0.064270f, - 0.088318f, 0.124634f, 0.180664f, 0.264893f, 0.380615f, 0.516113f, 0.645020f, 0.747559f, 0.819824f, 0.870117f, 0.902344f, 0.925293f, - 0.941406f, 0.953613f, 0.962402f, 0.969238f, 0.974121f, 0.978027f, 0.981934f, 0.984375f, 0.986328f, 0.988281f, 0.989746f, 0.990723f, - 0.992676f, 0.993164f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.000000f, 0.000000f, 0.000074f, 0.000337f, - 0.000481f, 0.000484f, 0.000485f, 0.000556f, 0.000823f, 0.001143f, 0.001187f, 0.001391f, 0.001781f, 0.002155f, 0.002327f, 0.002760f, - 0.003008f, 0.003433f, 0.004101f, 0.004681f, 0.005417f, 0.006443f, 0.007393f, 0.008560f, 0.010345f, 0.012177f, 0.014496f, 0.018127f, - 0.022125f, 0.027740f, 0.035736f, 0.046173f, 0.061920f, 0.084717f, 0.119324f, 0.173218f, 0.254883f, 0.368652f, 0.505371f, 0.637207f, - 0.742676f, 0.818359f, 0.868164f, 0.902832f, 0.925781f, 0.942383f, 0.953613f, 0.963379f, 0.970215f, 0.975098f, 0.979004f, 0.982422f, - 0.984863f, 0.986328f, 0.988770f, 0.990723f, 0.991699f, 0.992676f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.000000f, 0.000000f, 0.000000f, 0.000188f, 0.000358f, 0.000481f, 0.000484f, 0.000484f, 0.000704f, 0.000852f, 0.001165f, 0.001316f, - 0.001500f, 0.001685f, 0.001933f, 0.002079f, 0.002720f, 0.003136f, 0.003727f, 0.003723f, 0.004513f, 0.005207f, 0.006275f, 0.007236f, - 0.008453f, 0.010056f, 0.011848f, 0.014191f, 0.017212f, 0.021652f, 0.026978f, 0.034241f, 0.044678f, 0.058990f, 0.081421f, 0.114929f, - 0.167236f, 0.247070f, 0.360596f, 0.498291f, 0.632812f, 0.741211f, 0.818359f, 0.869629f, 0.903809f, 0.927734f, 0.943848f, 0.955566f, - 0.964355f, 0.970703f, 0.976074f, 0.979492f, 0.982422f, 0.985840f, 0.987793f, 0.989258f, 0.990723f, 0.992188f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000121f, 0.000120f, 0.000288f, 0.000357f, 0.000479f, 0.000483f, - 0.000535f, 0.000711f, 0.000862f, 0.001256f, 0.001351f, 0.001502f, 0.001719f, 0.002146f, 0.002037f, 0.002653f, 0.003248f, 0.003222f, - 0.003820f, 0.004456f, 0.005173f, 0.006008f, 0.007072f, 0.008247f, 0.009758f, 0.011826f, 0.013771f, 0.016861f, 0.020935f, 0.025986f, - 0.032928f, 0.043030f, 0.057587f, 0.078918f, 0.111755f, 0.162964f, 0.241943f, 0.355713f, 0.495117f, 0.632324f, 0.742676f, 0.819336f, - 0.871582f, 0.905762f, 0.929688f, 0.945312f, 0.957031f, 0.965332f, 0.972168f, 0.976562f, 0.980957f, 0.983887f, 0.986328f, 0.988281f, - 0.990234f, 0.991699f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, - 0.000200f, 0.000412f, 0.000471f, 0.000599f, 0.000598f, 0.000596f, 0.000805f, 0.001099f, 0.001334f, 0.001417f, 0.001456f, 0.001723f, - 0.002102f, 0.002283f, 0.002579f, 0.003208f, 0.003233f, 0.003740f, 0.004574f, 0.005287f, 0.006012f, 0.006870f, 0.008018f, 0.009354f, - 0.011208f, 0.013542f, 0.016495f, 0.020370f, 0.025284f, 0.032410f, 0.041901f, 0.056183f, 0.077087f, 0.109558f, 0.160278f, 0.239380f, - 0.354492f, 0.496094f, 0.635254f, 0.747070f, 0.823730f, 0.875488f, 0.908691f, 0.931641f, 0.947266f, 0.958008f, 0.966309f, 0.972656f, - 0.978027f, 0.981445f, 0.984863f, 0.986816f, 0.989258f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, - 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000237f, 0.000239f, 0.000430f, 0.000465f, 0.000599f, 0.000724f, 0.000716f, 0.000815f, - 0.000981f, 0.001334f, 0.001299f, 0.001545f, 0.001617f, 0.001935f, 0.002110f, 0.002501f, 0.002823f, 0.003408f, 0.003790f, 0.004467f, - 0.005112f, 0.005848f, 0.006718f, 0.007942f, 0.009514f, 0.011093f, 0.013092f, 0.015945f, 0.019608f, 0.024689f, 0.031494f, 0.041046f, - 0.054901f, 0.075989f, 0.108032f, 0.158936f, 0.239014f, 0.356201f, 0.500488f, 0.642090f, 0.753418f, 0.830566f, 0.880859f, 0.912598f, - 0.935059f, 0.950195f, 0.960449f, 0.968262f, 0.975098f, 0.979980f, 0.982910f, 0.985352f, 0.987793f, 0.990234f, 0.996582f, 0.997070f, - 0.997070f, 0.996582f, 0.997070f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000120f, 0.000121f, 0.000312f, 0.000407f, - 0.000707f, 0.000597f, 0.000648f, 0.000720f, 0.000941f, 0.001008f, 0.001229f, 0.001289f, 0.001423f, 0.001726f, 0.002060f, 0.002211f, - 0.002506f, 0.002985f, 0.003036f, 0.003683f, 0.004066f, 0.004833f, 0.005592f, 0.006611f, 0.007675f, 0.008965f, 0.010811f, 0.012833f, - 0.015854f, 0.019485f, 0.024429f, 0.031036f, 0.040466f, 0.054108f, 0.074890f, 0.107727f, 0.159180f, 0.241699f, 0.362549f, 0.510742f, - 0.653809f, 0.763184f, 0.837891f, 0.887207f, 0.917480f, 0.938477f, 0.953613f, 0.962891f, 0.970703f, 0.976562f, 0.980469f, 0.984375f, - 0.986816f, 0.988770f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, - 0.000118f, 0.000120f, 0.000129f, 0.000434f, 0.000536f, 0.000613f, 0.000716f, 0.000799f, 0.000720f, 0.000768f, 0.001024f, 0.001202f, - 0.001501f, 0.001530f, 0.001568f, 0.001897f, 0.002190f, 0.002502f, 0.002893f, 0.003105f, 0.003551f, 0.004021f, 0.004791f, 0.005405f, - 0.006313f, 0.007309f, 0.008720f, 0.010712f, 0.012657f, 0.015472f, 0.018982f, 0.023697f, 0.030579f, 0.040009f, 0.054138f, 0.075012f, - 0.107849f, 0.161377f, 0.247070f, 0.373047f, 0.525391f, 0.667969f, 0.776855f, 0.847656f, 0.894043f, 0.923340f, 0.942871f, 0.956543f, - 0.965820f, 0.973145f, 0.978027f, 0.982422f, 0.985352f, 0.987793f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.996094f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000081f, 0.000116f, 0.000227f, 0.000360f, 0.000366f, 0.000642f, 0.000691f, 0.000711f, - 0.000806f, 0.000721f, 0.000925f, 0.000947f, 0.001155f, 0.001478f, 0.001554f, 0.001612f, 0.001929f, 0.002354f, 0.002291f, 0.002712f, - 0.003029f, 0.003441f, 0.003876f, 0.004452f, 0.005276f, 0.006256f, 0.007149f, 0.008568f, 0.010040f, 0.012566f, 0.015160f, 0.018677f, - 0.023376f, 0.030411f, 0.039642f, 0.053986f, 0.075134f, 0.109436f, 0.165527f, 0.255127f, 0.387695f, 0.544434f, 0.686523f, 0.791016f, - 0.858398f, 0.901367f, 0.928711f, 0.947266f, 0.959961f, 0.968262f, 0.975098f, 0.980469f, 0.983887f, 0.987305f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000088f, 0.000085f, 0.000338f, 0.000351f, - 0.000359f, 0.000480f, 0.000539f, 0.000698f, 0.000798f, 0.000793f, 0.000834f, 0.000891f, 0.000941f, 0.001143f, 0.001422f, 0.001512f, - 0.001833f, 0.001955f, 0.002144f, 0.002426f, 0.002716f, 0.003262f, 0.003572f, 0.003860f, 0.004456f, 0.005173f, 0.006191f, 0.006939f, - 0.008545f, 0.010162f, 0.012375f, 0.014969f, 0.018555f, 0.023376f, 0.029953f, 0.039673f, 0.054077f, 0.076477f, 0.112000f, 0.171509f, - 0.268066f, 0.408203f, 0.569336f, 0.709961f, 0.808105f, 0.872070f, 0.910645f, 0.935059f, 0.951660f, 0.963379f, 0.971680f, 0.977539f, - 0.982422f, 0.985840f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000116f, 0.000340f, 0.000353f, 0.000349f, 0.000480f, 0.000576f, 0.000668f, 0.000700f, 0.000818f, 0.000833f, - 0.000787f, 0.001125f, 0.001110f, 0.001407f, 0.001489f, 0.001563f, 0.001804f, 0.002073f, 0.002285f, 0.002409f, 0.002985f, 0.003052f, - 0.003853f, 0.004433f, 0.005100f, 0.006046f, 0.007046f, 0.008156f, 0.009827f, 0.012138f, 0.014740f, 0.018311f, 0.023071f, 0.029770f, - 0.040009f, 0.054810f, 0.078003f, 0.116150f, 0.180176f, 0.284668f, 0.434570f, 0.599121f, 0.735352f, 0.827637f, 0.885254f, 0.919922f, - 0.941895f, 0.957031f, 0.967285f, 0.975098f, 0.979980f, 0.984375f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995605f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000235f, 0.000320f, 0.000351f, 0.000353f, 0.000478f, - 0.000602f, 0.000651f, 0.000793f, 0.000706f, 0.000816f, 0.000814f, 0.000898f, 0.001062f, 0.001259f, 0.001441f, 0.001564f, 0.001772f, - 0.001743f, 0.002134f, 0.002512f, 0.002668f, 0.003193f, 0.003746f, 0.004341f, 0.004902f, 0.005909f, 0.006920f, 0.008125f, 0.009605f, - 0.011711f, 0.014549f, 0.018280f, 0.023163f, 0.030334f, 0.040375f, 0.055939f, 0.080566f, 0.122070f, 0.192383f, 0.307373f, 0.467773f, - 0.634277f, 0.763184f, 0.846191f, 0.897461f, 0.928711f, 0.948730f, 0.962402f, 0.971680f, 0.978516f, 0.982422f, 0.994141f, 0.994629f, - 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000185f, 0.000190f, - 0.000272f, 0.000281f, 0.000464f, 0.000466f, 0.000476f, 0.000521f, 0.000654f, 0.000680f, 0.000699f, 0.000815f, 0.000814f, 0.000890f, - 0.001110f, 0.001283f, 0.001311f, 0.001590f, 0.001727f, 0.001801f, 0.002020f, 0.002312f, 0.002897f, 0.003267f, 0.003592f, 0.004143f, - 0.004810f, 0.005844f, 0.006618f, 0.008018f, 0.009697f, 0.011597f, 0.014374f, 0.018127f, 0.023056f, 0.030258f, 0.041107f, 0.057373f, - 0.084045f, 0.129517f, 0.208618f, 0.337646f, 0.508789f, 0.673828f, 0.793457f, 0.866211f, 0.911133f, 0.938965f, 0.955566f, 0.967285f, - 0.975586f, 0.980469f, 0.994141f, 0.994141f, 0.994629f, 0.994629f, 0.994629f, 0.994141f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f, 0.000431f, 0.000456f, 0.000467f, 0.000352f, 0.000496f, 0.000588f, - 0.000891f, 0.000771f, 0.000803f, 0.000947f, 0.000972f, 0.001078f, 0.001033f, 0.001279f, 0.001436f, 0.001483f, 0.001831f, 0.002033f, - 0.002264f, 0.002710f, 0.002996f, 0.003582f, 0.004032f, 0.004665f, 0.005592f, 0.006527f, 0.007820f, 0.009323f, 0.011581f, 0.014328f, - 0.018219f, 0.023239f, 0.030777f, 0.042084f, 0.059448f, 0.089233f, 0.140869f, 0.230713f, 0.375977f, 0.556641f, 0.715332f, 0.822266f, - 0.885742f, 0.924316f, 0.947266f, 0.962402f, 0.972656f, 0.978516f, 0.993164f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000283f, 0.000229f, 0.000425f, - 0.000303f, 0.000336f, 0.000469f, 0.000474f, 0.000728f, 0.000663f, 0.000883f, 0.000695f, 0.000679f, 0.000858f, 0.000919f, 0.000980f, - 0.001218f, 0.001330f, 0.001665f, 0.001637f, 0.002054f, 0.002335f, 0.002508f, 0.002880f, 0.003323f, 0.004055f, 0.004730f, 0.005463f, - 0.006485f, 0.007740f, 0.009293f, 0.011566f, 0.014175f, 0.017944f, 0.023346f, 0.031433f, 0.043304f, 0.063232f, 0.096313f, 0.155518f, - 0.260498f, 0.424561f, 0.611328f, 0.758789f, 0.852051f, 0.904785f, 0.937012f, 0.955566f, 0.968262f, 0.977051f, 0.992676f, 0.992676f, - 0.993164f, 0.993652f, 0.993164f, 0.993652f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000256f, 0.000216f, 0.000406f, 0.000426f, 0.000457f, 0.000453f, 0.000472f, 0.000651f, 0.000593f, 0.000876f, - 0.000571f, 0.000590f, 0.000819f, 0.000809f, 0.001000f, 0.001224f, 0.001293f, 0.001637f, 0.001790f, 0.001863f, 0.002298f, 0.002550f, - 0.002995f, 0.003201f, 0.003933f, 0.004677f, 0.005360f, 0.006447f, 0.007763f, 0.009377f, 0.011330f, 0.014420f, 0.017944f, 0.023560f, - 0.032196f, 0.045380f, 0.067383f, 0.105469f, 0.175659f, 0.301025f, 0.484375f, 0.669922f, 0.801270f, 0.879395f, 0.922852f, 0.948242f, - 0.963379f, 0.974121f, 0.992188f, 0.992188f, 0.992188f, 0.993164f, 0.992188f, 0.993164f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000230f, 0.000206f, 0.000355f, 0.000335f, 0.000305f, - 0.000461f, 0.000565f, 0.000474f, 0.000429f, 0.000520f, 0.000758f, 0.000777f, 0.000668f, 0.000821f, 0.001013f, 0.001089f, 0.001325f, - 0.001570f, 0.001787f, 0.001707f, 0.002037f, 0.002457f, 0.002892f, 0.003359f, 0.003881f, 0.004616f, 0.005203f, 0.006336f, 0.007477f, - 0.009048f, 0.011345f, 0.014015f, 0.018356f, 0.024307f, 0.033661f, 0.048279f, 0.073303f, 0.118774f, 0.204102f, 0.354492f, 0.554688f, - 0.729492f, 0.840332f, 0.902832f, 0.937988f, 0.958008f, 0.971191f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, 0.992188f, 0.991699f, - 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000205f, 0.000248f, 0.000213f, 0.000344f, 0.000437f, 0.000351f, 0.000352f, 0.000359f, 0.000389f, 0.000482f, 0.000676f, 0.000560f, - 0.000806f, 0.000813f, 0.000927f, 0.001230f, 0.001392f, 0.001526f, 0.001627f, 0.001629f, 0.002047f, 0.002321f, 0.002661f, 0.003317f, - 0.003752f, 0.004406f, 0.005119f, 0.005936f, 0.007156f, 0.009003f, 0.010941f, 0.013985f, 0.018539f, 0.025131f, 0.035248f, 0.051880f, - 0.081543f, 0.137207f, 0.244507f, 0.424561f, 0.632812f, 0.787598f, 0.876465f, 0.924805f, 0.951172f, 0.966797f, 0.990723f, 0.991211f, - 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000224f, 0.000171f, 0.000276f, 0.000278f, 0.000288f, 0.000329f, 0.000365f, - 0.000459f, 0.000483f, 0.000626f, 0.000716f, 0.000767f, 0.000793f, 0.000800f, 0.000897f, 0.000976f, 0.001156f, 0.001322f, 0.001427f, - 0.001799f, 0.001997f, 0.002256f, 0.002773f, 0.002806f, 0.003515f, 0.004040f, 0.004910f, 0.005730f, 0.007046f, 0.008858f, 0.011124f, - 0.014374f, 0.018982f, 0.026123f, 0.037659f, 0.057129f, 0.093445f, 0.164062f, 0.301514f, 0.511230f, 0.712402f, 0.838867f, 0.906738f, - 0.942383f, 0.961914f, 0.989746f, 0.990234f, 0.989746f, 0.990234f, 0.989746f, 0.990234f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000173f, 0.000140f, - 0.000138f, 0.000232f, 0.000291f, 0.000318f, 0.000338f, 0.000346f, 0.000422f, 0.000368f, 0.000680f, 0.000722f, 0.000765f, 0.000766f, - 0.000803f, 0.001069f, 0.001103f, 0.001185f, 0.001611f, 0.001593f, 0.001939f, 0.002211f, 0.002569f, 0.003008f, 0.003239f, 0.003952f, - 0.004681f, 0.005630f, 0.007008f, 0.008720f, 0.011200f, 0.014587f, 0.019653f, 0.027527f, 0.040955f, 0.064514f, 0.110413f, 0.204224f, - 0.381104f, 0.609863f, 0.785645f, 0.881836f, 0.931152f, 0.956543f, 0.988770f, 0.989258f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, - 0.000121f, 0.000123f, 0.000121f, 0.000090f, 0.000102f, 0.000063f, 0.000156f, 0.000248f, 0.000333f, 0.000321f, 0.000431f, 0.000392f, - 0.000349f, 0.000434f, 0.000674f, 0.000741f, 0.000776f, 0.000936f, 0.000888f, 0.001049f, 0.001179f, 0.001326f, 0.001686f, 0.001732f, - 0.002050f, 0.002150f, 0.002453f, 0.003016f, 0.003601f, 0.004444f, 0.005692f, 0.006741f, 0.008324f, 0.011093f, 0.014709f, 0.020752f, - 0.029800f, 0.045654f, 0.074951f, 0.136108f, 0.264893f, 0.486816f, 0.710938f, 0.848145f, 0.916992f, 0.950684f, 0.987305f, 0.987793f, - 0.987793f, 0.988281f, 0.987793f, 0.987793f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000100f, 0.000049f, 0.000039f, 0.000125f, 0.000121f, - 0.000184f, 0.000280f, 0.000366f, 0.000392f, 0.000333f, 0.000341f, 0.000477f, 0.000597f, 0.000607f, 0.000747f, 0.000767f, 0.000961f, - 0.000936f, 0.001056f, 0.001306f, 0.001388f, 0.001633f, 0.001836f, 0.001997f, 0.002348f, 0.002878f, 0.003332f, 0.004131f, 0.005165f, - 0.006519f, 0.008568f, 0.011444f, 0.015419f, 0.021881f, 0.032532f, 0.052032f, 0.091187f, 0.177246f, 0.357910f, 0.610352f, 0.800781f, - 0.897461f, 0.942871f, 0.985352f, 0.986328f, 0.986816f, 0.986328f, 0.986328f, 0.986328f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000099f, 0.000076f, - 0.000060f, 0.000108f, 0.000040f, 0.000127f, 0.000127f, 0.000121f, 0.000200f, 0.000265f, 0.000360f, 0.000316f, 0.000428f, 0.000455f, - 0.000456f, 0.000583f, 0.000682f, 0.000750f, 0.000773f, 0.000824f, 0.000937f, 0.001220f, 0.001262f, 0.001384f, 0.001622f, 0.001862f, - 0.002157f, 0.002817f, 0.003414f, 0.004082f, 0.004993f, 0.006561f, 0.008560f, 0.011696f, 0.016022f, 0.023529f, 0.036469f, 0.062286f, - 0.117126f, 0.245605f, 0.487549f, 0.732910f, 0.870605f, 0.933105f, 0.983887f, 0.984863f, 0.984863f, 0.984863f, 0.984375f, 0.984863f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000096f, 0.000075f, 0.000061f, 0.000083f, 0.000096f, 0.000034f, 0.000101f, 0.000121f, 0.000137f, - 0.000211f, 0.000324f, 0.000381f, 0.000373f, 0.000420f, 0.000472f, 0.000494f, 0.000690f, 0.000793f, 0.000768f, 0.000853f, 0.000867f, - 0.000978f, 0.001003f, 0.001145f, 0.001416f, 0.001888f, 0.002125f, 0.002491f, 0.003004f, 0.003864f, 0.005028f, 0.006500f, 0.008682f, - 0.011856f, 0.016922f, 0.025757f, 0.042603f, 0.078247f, 0.161743f, 0.358398f, 0.641602f, 0.833496f, 0.920410f, 0.981934f, 0.982910f, - 0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.000122f, 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000097f, 0.000078f, 0.000062f, 0.000051f, - 0.000043f, 0.000072f, 0.000030f, 0.000060f, 0.000109f, 0.000206f, 0.000216f, 0.000333f, 0.000347f, 0.000395f, 0.000415f, 0.000458f, - 0.000568f, 0.000664f, 0.000709f, 0.000598f, 0.000781f, 0.000628f, 0.001053f, 0.001046f, 0.001179f, 0.001579f, 0.001649f, 0.002386f, - 0.002857f, 0.003727f, 0.004894f, 0.006363f, 0.008789f, 0.012314f, 0.018616f, 0.029709f, 0.052429f, 0.105652f, 0.244385f, 0.524414f, - 0.782715f, 0.904785f, 0.979492f, 0.980957f, 0.979980f, 0.979980f, 0.980469f, 0.980469f, 0.000000f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000097f, 0.000079f, 0.000065f, 0.000054f, 0.000045f, 0.000073f, 0.000032f, 0.000089f, 0.000038f, 0.000134f, 0.000138f, - 0.000211f, 0.000333f, 0.000370f, 0.000400f, 0.000420f, 0.000496f, 0.000566f, 0.000494f, 0.000584f, 0.000714f, 0.000708f, 0.000843f, - 0.001056f, 0.001019f, 0.001327f, 0.001812f, 0.001908f, 0.002798f, 0.003479f, 0.004578f, 0.006195f, 0.008881f, 0.012901f, 0.020599f, - 0.035339f, 0.069214f, 0.159058f, 0.394531f, 0.709961f, 0.882812f, 0.977051f, 0.978027f, 0.977539f, 0.976562f, 0.977051f, 0.977539f, - 0.000000f, 0.000121f, 0.000120f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, - 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000120f, 0.000102f, 0.000084f, 0.000071f, 0.000059f, 0.000048f, 0.000041f, - 0.000035f, 0.000062f, 0.000026f, 0.000098f, 0.000103f, 0.000136f, 0.000230f, 0.000327f, 0.000356f, 0.000338f, 0.000387f, 0.000499f, - 0.000577f, 0.000627f, 0.000669f, 0.000611f, 0.000699f, 0.000904f, 0.000893f, 0.001340f, 0.001666f, 0.002068f, 0.002377f, 0.003105f, - 0.004345f, 0.006218f, 0.009178f, 0.013962f, 0.024170f, 0.045441f, 0.101868f, 0.271973f, 0.612305f, 0.853027f, 0.973145f, 0.974121f, - 0.973633f, 0.974121f, 0.973633f, 0.974121f, 0.000121f, 0.000120f, 0.000119f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, - 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000108f, - 0.000091f, 0.000075f, 0.000063f, 0.000053f, 0.000045f, 0.000039f, 0.000034f, 0.000040f, 0.000090f, 0.000068f, 0.000104f, 0.000127f, - 0.000220f, 0.000302f, 0.000412f, 0.000316f, 0.000444f, 0.000495f, 0.000428f, 0.000510f, 0.000463f, 0.000614f, 0.000726f, 0.000719f, - 0.001164f, 0.001533f, 0.001707f, 0.002079f, 0.002848f, 0.004189f, 0.006142f, 0.009491f, 0.016113f, 0.029343f, 0.064758f, 0.175415f, - 0.490723f, 0.812012f, 0.968750f, 0.969727f, 0.969238f, 0.969727f, 0.969727f, 0.969727f, 0.000000f, 0.000117f, 0.000117f, 0.000115f, - 0.000118f, 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000117f, - 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000100f, 0.000082f, 0.000070f, 0.000060f, 0.000051f, 0.000043f, 0.000038f, - 0.000033f, 0.000053f, 0.000027f, 0.000089f, 0.000105f, 0.000137f, 0.000227f, 0.000277f, 0.000293f, 0.000284f, 0.000300f, 0.000420f, - 0.000367f, 0.000473f, 0.000467f, 0.000555f, 0.000625f, 0.000870f, 0.001177f, 0.001563f, 0.001982f, 0.002714f, 0.004051f, 0.006134f, - 0.010384f, 0.018967f, 0.040314f, 0.108887f, 0.358643f, 0.755859f, 0.962891f, 0.963867f, 0.964355f, 0.963867f, 0.963379f, 0.963379f, - 0.000000f, 0.000000f, 0.000098f, 0.000103f, 0.000111f, 0.000112f, 0.000112f, 0.000114f, 0.000113f, 0.000115f, 0.000114f, 0.000115f, - 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000109f, 0.000094f, - 0.000078f, 0.000067f, 0.000058f, 0.000050f, 0.000043f, 0.000038f, 0.000033f, 0.000054f, 0.000025f, 0.000078f, 0.000091f, 0.000173f, - 0.000203f, 0.000252f, 0.000331f, 0.000277f, 0.000264f, 0.000407f, 0.000342f, 0.000444f, 0.000470f, 0.000542f, 0.000773f, 0.001081f, - 0.001245f, 0.001682f, 0.002602f, 0.003744f, 0.006248f, 0.011566f, 0.025040f, 0.065491f, 0.236938f, 0.678223f, 0.956055f, 0.956543f, - 0.956543f, 0.956543f, 0.957031f, 0.957031f, 0.000000f, 0.000000f, 0.000021f, 0.000080f, 0.000072f, 0.000089f, 0.000100f, 0.000099f, - 0.000105f, 0.000107f, 0.000107f, 0.000110f, 0.000109f, 0.000110f, 0.000111f, 0.000111f, 0.000112f, 0.000112f, 0.000112f, 0.000113f, - 0.000113f, 0.000113f, 0.000113f, 0.000113f, 0.000105f, 0.000090f, 0.000078f, 0.000067f, 0.000057f, 0.000050f, 0.000043f, 0.000038f, - 0.000033f, 0.000029f, 0.000025f, 0.000055f, 0.000091f, 0.000130f, 0.000225f, 0.000275f, 0.000254f, 0.000290f, 0.000259f, 0.000378f, - 0.000333f, 0.000362f, 0.000458f, 0.000587f, 0.000876f, 0.001062f, 0.001382f, 0.002398f, 0.003763f, 0.006603f, 0.014496f, 0.038300f, - 0.143677f, 0.573730f, 0.946777f, 0.947266f, 0.947266f, 0.947266f, 0.948242f, 0.947266f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000014f, 0.000036f, 0.000072f, 0.000082f, 0.000080f, 0.000094f, 0.000096f, 0.000099f, 0.000098f, 0.000103f, 0.000103f, - 0.000103f, 0.000106f, 0.000105f, 0.000107f, 0.000107f, 0.000108f, 0.000108f, 0.000109f, 0.000109f, 0.000109f, 0.000105f, 0.000090f, - 0.000078f, 0.000067f, 0.000059f, 0.000051f, 0.000045f, 0.000039f, 0.000034f, 0.000030f, 0.000026f, 0.000045f, 0.000086f, 0.000108f, - 0.000143f, 0.000212f, 0.000227f, 0.000204f, 0.000231f, 0.000263f, 0.000315f, 0.000354f, 0.000481f, 0.000702f, 0.000888f, 0.001257f, - 0.002018f, 0.003738f, 0.007675f, 0.021317f, 0.080933f, 0.444336f, 0.934082f, 0.935059f, 0.935059f, 0.935059f, 0.935059f, 0.935059f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000024f, 0.000038f, 0.000059f, - 0.000063f, 0.000076f, 0.000080f, 0.000085f, 0.000089f, 0.000091f, 0.000092f, 0.000095f, 0.000097f, 0.000099f, 0.000098f, 0.000101f, - 0.000101f, 0.000102f, 0.000103f, 0.000104f, 0.000104f, 0.000091f, 0.000080f, 0.000069f, 0.000062f, 0.000053f, 0.000046f, 0.000041f, - 0.000035f, 0.000032f, 0.000027f, 0.000039f, 0.000052f, 0.000103f, 0.000139f, 0.000178f, 0.000190f, 0.000178f, 0.000185f, 0.000247f, - 0.000274f, 0.000368f, 0.000528f, 0.000637f, 0.001027f, 0.001937f, 0.003853f, 0.010445f, 0.041718f, 0.304199f, 0.917480f, 0.917480f, - 0.917969f, 0.917480f, 0.918457f, 0.917969f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000023f, 0.000037f, 0.000048f, 0.000048f, 0.000063f, 0.000063f, - 0.000074f, 0.000077f, 0.000080f, 0.000083f, 0.000086f, 0.000088f, 0.000090f, 0.000091f, 0.000092f, 0.000094f, 0.000095f, 0.000096f, - 0.000084f, 0.000073f, 0.000064f, 0.000057f, 0.000049f, 0.000043f, 0.000037f, 0.000033f, 0.000029f, 0.000025f, 0.000060f, 0.000061f, - 0.000087f, 0.000118f, 0.000156f, 0.000131f, 0.000175f, 0.000226f, 0.000230f, 0.000373f, 0.000507f, 0.000992f, 0.001814f, 0.004639f, - 0.018799f, 0.176758f, 0.894043f, 0.894531f, 0.895508f, 0.895020f, 0.895020f, 0.895996f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000019f, 0.000028f, 0.000034f, 0.000043f, 0.000052f, 0.000057f, 0.000062f, 0.000067f, - 0.000070f, 0.000074f, 0.000075f, 0.000079f, 0.000081f, 0.000083f, 0.000085f, 0.000076f, 0.000068f, 0.000059f, 0.000051f, 0.000046f, - 0.000040f, 0.000035f, 0.000030f, 0.000026f, 0.000028f, 0.000038f, 0.000072f, 0.000100f, 0.000120f, 0.000107f, 0.000152f, 0.000156f, - 0.000254f, 0.000436f, 0.000722f, 0.001875f, 0.007088f, 0.083069f, 0.863281f, 0.862305f, 0.863281f, 0.862305f, 0.863281f, 0.862793f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000005f, 0.000015f, 0.000022f, 0.000030f, 0.000037f, 0.000042f, 0.000048f, 0.000053f, 0.000058f, 0.000060f, - 0.000064f, 0.000067f, 0.000069f, 0.000061f, 0.000053f, 0.000047f, 0.000041f, 0.000036f, 0.000031f, 0.000027f, 0.000023f, 0.000020f, - 0.000036f, 0.000063f, 0.000082f, 0.000081f, 0.000104f, 0.000149f, 0.000263f, 0.000616f, 0.002337f, 0.028168f, 0.816406f, 0.816895f, - 0.816895f, 0.816895f, 0.817383f, 0.816895f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000003f, 0.000011f, 0.000019f, 0.000026f, 0.000031f, 0.000036f, 0.000041f, 0.000045f, 0.000050f, 0.000047f, - 0.000041f, 0.000036f, 0.000031f, 0.000027f, 0.000023f, 0.000019f, 0.000028f, 0.000029f, 0.000053f, 0.000052f, 0.000072f, 0.000165f, - 0.000511f, 0.006050f, 0.751465f, 0.752441f, 0.752930f, 0.752441f, 0.752441f, 0.752930f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000011f, 0.000017f, 0.000021f, 0.000027f, 0.000028f, 0.000024f, 0.000020f, 0.000017f, - 0.000013f, 0.000020f, 0.000021f, 0.000029f, 0.000057f, 0.000588f, 0.665039f, 0.664551f, 0.665527f, 0.665039f, 0.665039f, 0.665039f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000009f, 0.000006f, 0.000004f, 0.000007f, 0.557129f, 0.558105f, - 0.557617f, 0.557617f, 0.558594f, 0.558105f, - }, - { - 0.163818f, 0.558105f, 0.755859f, 0.841797f, 0.886230f, 0.912109f, 0.929199f, 0.941406f, 0.950195f, 0.957031f, 0.961914f, 0.966309f, - 0.970215f, 0.972656f, 0.975586f, 0.978027f, 0.979492f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987305f, 0.988770f, - 0.989258f, 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, - 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, - 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.027023f, 0.138184f, 0.353760f, 0.583984f, 0.735352f, 0.819336f, 0.868652f, 0.898926f, - 0.918945f, 0.933594f, 0.943848f, 0.952148f, 0.958984f, 0.963867f, 0.967773f, 0.971680f, 0.974121f, 0.976562f, 0.978516f, 0.980469f, - 0.982422f, 0.983398f, 0.984863f, 0.986328f, 0.986816f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.990723f, 0.991699f, 0.992676f, - 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, - 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.009819f, 0.044250f, 0.113525f, 0.244995f, - 0.430420f, 0.608887f, 0.733887f, 0.810547f, 0.860352f, 0.892578f, 0.913086f, 0.929688f, 0.940918f, 0.949219f, 0.956055f, 0.961426f, - 0.966309f, 0.970215f, 0.972656f, 0.975586f, 0.977539f, 0.979980f, 0.980957f, 0.983398f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, - 0.988281f, 0.989746f, 0.989746f, 0.991211f, 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, - 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.004848f, 0.020447f, 0.046814f, 0.096313f, 0.183228f, 0.319092f, 0.484375f, 0.631836f, 0.739258f, 0.810547f, 0.857422f, 0.888672f, - 0.910645f, 0.925781f, 0.938965f, 0.947754f, 0.954590f, 0.960449f, 0.964355f, 0.968750f, 0.971191f, 0.974609f, 0.977051f, 0.979004f, - 0.980957f, 0.982422f, 0.983887f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, 0.990234f, 0.990723f, 0.991211f, 0.991699f, - 0.992676f, 0.992676f, 0.993652f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, - 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.003096f, 0.011017f, 0.024399f, 0.046600f, 0.083191f, 0.145386f, 0.243774f, 0.379395f, - 0.529297f, 0.656738f, 0.750977f, 0.813965f, 0.857910f, 0.887695f, 0.909668f, 0.925293f, 0.937500f, 0.946289f, 0.953613f, 0.959473f, - 0.964355f, 0.968262f, 0.971191f, 0.974121f, 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987793f, - 0.988281f, 0.989258f, 0.989746f, 0.991211f, 0.991699f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, - 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.001808f, 0.006992f, 0.014923f, 0.026413f, - 0.044403f, 0.073120f, 0.119446f, 0.193115f, 0.300537f, 0.433594f, 0.568848f, 0.680664f, 0.763184f, 0.821289f, 0.860840f, 0.890137f, - 0.909668f, 0.925293f, 0.937500f, 0.945801f, 0.953613f, 0.959473f, 0.963867f, 0.968262f, 0.971680f, 0.974609f, 0.977051f, 0.979004f, - 0.980957f, 0.982422f, 0.983887f, 0.984863f, 0.986816f, 0.987305f, 0.987793f, 0.989746f, 0.989746f, 0.991211f, 0.991699f, 0.992188f, - 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, - 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.001668f, 0.005253f, 0.010010f, 0.016602f, 0.026459f, 0.042023f, 0.065369f, 0.101868f, 0.158081f, 0.241455f, 0.354248f, 0.483887f, - 0.606934f, 0.706055f, 0.777832f, 0.830566f, 0.867188f, 0.893066f, 0.912109f, 0.926270f, 0.938477f, 0.946289f, 0.953125f, 0.959473f, - 0.964355f, 0.968750f, 0.971680f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987305f, - 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993164f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, - 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, - 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.001086f, 0.003477f, 0.006756f, 0.011604f, 0.018066f, 0.027222f, 0.039978f, 0.059448f, - 0.088257f, 0.132690f, 0.198120f, 0.291504f, 0.408447f, 0.531250f, 0.641602f, 0.728516f, 0.793457f, 0.839844f, 0.873047f, 0.896973f, - 0.915527f, 0.929199f, 0.939941f, 0.948730f, 0.955566f, 0.960938f, 0.965332f, 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979492f, - 0.981445f, 0.983398f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, - 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, - 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000982f, 0.002764f, 0.004925f, 0.008194f, - 0.012703f, 0.018417f, 0.026154f, 0.037964f, 0.053894f, 0.078552f, 0.113770f, 0.166626f, 0.242310f, 0.343262f, 0.460449f, 0.576660f, - 0.675293f, 0.753418f, 0.809570f, 0.851074f, 0.879883f, 0.902344f, 0.919434f, 0.931152f, 0.941895f, 0.950195f, 0.956055f, 0.960938f, - 0.965820f, 0.969727f, 0.973145f, 0.976074f, 0.978027f, 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.988770f, - 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000723f, 0.002268f, 0.003639f, 0.006371f, 0.009392f, 0.013046f, 0.018570f, 0.026016f, 0.035919f, 0.049957f, 0.070618f, 0.099609f, - 0.142212f, 0.204590f, 0.290039f, 0.396973f, 0.512207f, 0.619141f, 0.707520f, 0.775391f, 0.825195f, 0.860352f, 0.887207f, 0.907715f, - 0.923340f, 0.935547f, 0.944824f, 0.951660f, 0.958496f, 0.963379f, 0.967773f, 0.971191f, 0.974121f, 0.977051f, 0.979492f, 0.980957f, - 0.982910f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993164f, - 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000364f, 0.001690f, 0.003056f, 0.004982f, 0.007217f, 0.010124f, 0.013931f, 0.018738f, - 0.025177f, 0.034332f, 0.045990f, 0.063599f, 0.088501f, 0.124146f, 0.175781f, 0.248047f, 0.341797f, 0.451416f, 0.562012f, 0.659668f, - 0.738281f, 0.797852f, 0.841797f, 0.872559f, 0.896484f, 0.914062f, 0.928711f, 0.938477f, 0.947266f, 0.954590f, 0.959473f, 0.964844f, - 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979980f, 0.981934f, 0.983398f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989746f, - 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, - 0.997070f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000365f, 0.001221f, 0.002531f, 0.003979f, - 0.005829f, 0.007874f, 0.010475f, 0.013962f, 0.018402f, 0.024368f, 0.032257f, 0.042847f, 0.057983f, 0.079346f, 0.109375f, 0.153198f, - 0.214233f, 0.295898f, 0.397705f, 0.506836f, 0.609863f, 0.698730f, 0.767578f, 0.817871f, 0.854980f, 0.883301f, 0.903809f, 0.920410f, - 0.933105f, 0.942871f, 0.950195f, 0.957031f, 0.962402f, 0.966797f, 0.970703f, 0.973633f, 0.976562f, 0.979004f, 0.981445f, 0.982910f, - 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989746f, 0.989746f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, - 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.000343f, 0.001357f, 0.002039f, 0.003130f, 0.004398f, 0.006432f, 0.008141f, 0.010925f, 0.014008f, 0.018326f, 0.023331f, 0.030655f, - 0.040558f, 0.053680f, 0.071960f, 0.098206f, 0.134644f, 0.187012f, 0.258057f, 0.349854f, 0.455566f, 0.562012f, 0.656738f, 0.734863f, - 0.792969f, 0.836914f, 0.868652f, 0.894043f, 0.912598f, 0.926758f, 0.937988f, 0.947266f, 0.954590f, 0.960449f, 0.964355f, 0.968750f, - 0.972656f, 0.975586f, 0.978027f, 0.980469f, 0.981934f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.990723f, - 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.001185f, 0.001561f, 0.002504f, 0.003990f, 0.005272f, 0.006573f, 0.008606f, - 0.010933f, 0.013878f, 0.017715f, 0.022415f, 0.029068f, 0.038086f, 0.049774f, 0.066162f, 0.088257f, 0.120361f, 0.164917f, 0.227173f, - 0.308838f, 0.407959f, 0.515137f, 0.615723f, 0.700684f, 0.767090f, 0.817383f, 0.854492f, 0.882812f, 0.904297f, 0.920898f, 0.932617f, - 0.943359f, 0.951172f, 0.957520f, 0.962891f, 0.967773f, 0.971191f, 0.974121f, 0.977539f, 0.979492f, 0.981445f, 0.983887f, 0.985352f, - 0.986816f, 0.988281f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, - 0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000243f, 0.000847f, 0.001555f, 0.002224f, - 0.003141f, 0.004093f, 0.005264f, 0.006817f, 0.008850f, 0.010948f, 0.014053f, 0.017456f, 0.022339f, 0.028351f, 0.036011f, 0.046326f, - 0.060791f, 0.080444f, 0.107788f, 0.146851f, 0.201660f, 0.274658f, 0.366699f, 0.470215f, 0.574707f, 0.666016f, 0.740234f, 0.797363f, - 0.839355f, 0.871094f, 0.895508f, 0.913574f, 0.927734f, 0.938965f, 0.947754f, 0.955566f, 0.960449f, 0.965332f, 0.969727f, 0.973145f, - 0.976074f, 0.979004f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.987305f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f, - 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000244f, 0.000767f, 0.001042f, 0.001934f, 0.002502f, 0.003588f, 0.004292f, 0.005558f, 0.006824f, 0.008667f, 0.010872f, 0.013802f, - 0.017426f, 0.021637f, 0.027176f, 0.033936f, 0.043304f, 0.056549f, 0.073914f, 0.098083f, 0.132446f, 0.180664f, 0.245239f, 0.330078f, - 0.429199f, 0.533203f, 0.631348f, 0.711914f, 0.775879f, 0.823242f, 0.860352f, 0.886230f, 0.907227f, 0.923340f, 0.935059f, 0.944824f, - 0.952148f, 0.958984f, 0.964844f, 0.968750f, 0.972168f, 0.975586f, 0.978516f, 0.980957f, 0.982422f, 0.983887f, 0.985840f, 0.987305f, - 0.988770f, 0.989746f, 0.990234f, 0.992188f, 0.992676f, 0.992676f, 0.994141f, 0.994141f, 0.995117f, 0.995605f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000000f, 0.000485f, 0.001062f, 0.001658f, 0.002398f, 0.002998f, 0.003805f, 0.004723f, - 0.006004f, 0.007084f, 0.009102f, 0.011093f, 0.013489f, 0.016876f, 0.020813f, 0.025803f, 0.032257f, 0.040924f, 0.052673f, 0.068298f, - 0.090149f, 0.120239f, 0.162598f, 0.221313f, 0.298096f, 0.392822f, 0.496582f, 0.597656f, 0.684082f, 0.754883f, 0.807617f, 0.848145f, - 0.877930f, 0.900391f, 0.917969f, 0.931641f, 0.941406f, 0.950684f, 0.957031f, 0.962402f, 0.967773f, 0.971680f, 0.974609f, 0.978027f, - 0.980469f, 0.982422f, 0.984375f, 0.985840f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, - 0.994141f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000244f, 0.000477f, 0.000852f, 0.001439f, - 0.002045f, 0.002424f, 0.003101f, 0.004093f, 0.004887f, 0.005989f, 0.007751f, 0.008606f, 0.011002f, 0.013420f, 0.016251f, 0.020035f, - 0.024628f, 0.030579f, 0.039093f, 0.049255f, 0.063599f, 0.083191f, 0.109924f, 0.148071f, 0.200928f, 0.270996f, 0.359863f, 0.461670f, - 0.564453f, 0.656738f, 0.732910f, 0.791992f, 0.836426f, 0.869629f, 0.894531f, 0.913086f, 0.928223f, 0.939453f, 0.949219f, 0.956055f, - 0.961914f, 0.966797f, 0.970703f, 0.975098f, 0.977051f, 0.979492f, 0.982422f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.989746f, - 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.998535f, - 0.000242f, 0.000650f, 0.000847f, 0.001138f, 0.001621f, 0.002239f, 0.002527f, 0.003325f, 0.004227f, 0.005165f, 0.006462f, 0.007389f, - 0.008904f, 0.011024f, 0.013130f, 0.015915f, 0.019272f, 0.023819f, 0.029205f, 0.036652f, 0.046417f, 0.059418f, 0.077209f, 0.101562f, - 0.136230f, 0.183350f, 0.248047f, 0.331055f, 0.429688f, 0.533203f, 0.630859f, 0.711426f, 0.776367f, 0.824219f, 0.861328f, 0.887695f, - 0.908691f, 0.924805f, 0.937500f, 0.946777f, 0.954102f, 0.960938f, 0.966309f, 0.970215f, 0.974121f, 0.977539f, 0.979492f, 0.981934f, - 0.983887f, 0.985840f, 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992676f, 0.993164f, 0.994141f, 0.997559f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000089f, 0.000243f, 0.000827f, 0.000964f, 0.001418f, 0.001579f, 0.002296f, 0.002914f, - 0.003632f, 0.004280f, 0.005344f, 0.006130f, 0.007545f, 0.008949f, 0.010498f, 0.012733f, 0.015686f, 0.018646f, 0.023010f, 0.028229f, - 0.034851f, 0.044098f, 0.056122f, 0.072388f, 0.094788f, 0.125610f, 0.168945f, 0.228271f, 0.306396f, 0.401123f, 0.504883f, 0.604492f, - 0.691895f, 0.760742f, 0.813477f, 0.853027f, 0.881836f, 0.904297f, 0.921387f, 0.934570f, 0.944824f, 0.953125f, 0.959961f, 0.964844f, - 0.969727f, 0.973633f, 0.976562f, 0.979492f, 0.981934f, 0.983887f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.991211f, 0.992188f, - 0.992676f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000069f, 0.000461f, 0.000609f, 0.000933f, - 0.001088f, 0.001488f, 0.001900f, 0.002378f, 0.003101f, 0.003687f, 0.004547f, 0.005276f, 0.006233f, 0.007282f, 0.008820f, 0.010239f, - 0.012581f, 0.015312f, 0.018341f, 0.022095f, 0.027344f, 0.034027f, 0.041687f, 0.053467f, 0.067810f, 0.088440f, 0.117126f, 0.156616f, - 0.211426f, 0.284180f, 0.375977f, 0.478760f, 0.581543f, 0.672363f, 0.746094f, 0.802734f, 0.845703f, 0.877441f, 0.900879f, 0.918457f, - 0.933105f, 0.943848f, 0.951660f, 0.959473f, 0.964355f, 0.968750f, 0.974121f, 0.977051f, 0.979492f, 0.982422f, 0.984375f, 0.985840f, - 0.987305f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.000244f, 0.000348f, 0.000606f, 0.000737f, 0.001079f, 0.001458f, 0.001783f, 0.002192f, 0.002924f, 0.003231f, 0.003862f, 0.004551f, - 0.005169f, 0.006367f, 0.007381f, 0.008682f, 0.010590f, 0.012199f, 0.014900f, 0.017761f, 0.021530f, 0.026108f, 0.032349f, 0.039642f, - 0.050446f, 0.064392f, 0.083313f, 0.109436f, 0.145996f, 0.197021f, 0.266357f, 0.354248f, 0.455811f, 0.560059f, 0.654785f, 0.732910f, - 0.793457f, 0.837891f, 0.873047f, 0.897461f, 0.917480f, 0.931641f, 0.941895f, 0.951172f, 0.958984f, 0.964844f, 0.969727f, 0.973633f, - 0.977051f, 0.979980f, 0.981934f, 0.984375f, 0.985840f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992676f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000244f, 0.000520f, 0.000592f, 0.000720f, 0.000812f, 0.001174f, 0.001500f, 0.001884f, - 0.002178f, 0.002831f, 0.003321f, 0.003885f, 0.004471f, 0.005436f, 0.006275f, 0.007584f, 0.008675f, 0.010521f, 0.012238f, 0.014557f, - 0.017197f, 0.020874f, 0.025467f, 0.030960f, 0.038208f, 0.047821f, 0.061249f, 0.078552f, 0.103149f, 0.136841f, 0.184937f, 0.249878f, - 0.334473f, 0.435059f, 0.539551f, 0.638184f, 0.720215f, 0.784668f, 0.832031f, 0.868164f, 0.894531f, 0.914062f, 0.929688f, 0.942383f, - 0.950684f, 0.958984f, 0.964844f, 0.970215f, 0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.985840f, 0.988281f, 0.989258f, - 0.990723f, 0.992188f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.000000f, 0.000243f, 0.000351f, 0.000603f, - 0.000708f, 0.001079f, 0.001493f, 0.001752f, 0.001936f, 0.002171f, 0.002911f, 0.003382f, 0.003906f, 0.004578f, 0.005222f, 0.006161f, - 0.007362f, 0.008850f, 0.010010f, 0.011971f, 0.014145f, 0.016983f, 0.020477f, 0.024582f, 0.029739f, 0.036804f, 0.045837f, 0.057648f, - 0.074829f, 0.097534f, 0.130127f, 0.174438f, 0.236572f, 0.318604f, 0.416992f, 0.523926f, 0.624023f, 0.709961f, 0.777344f, 0.827148f, - 0.865234f, 0.893066f, 0.914062f, 0.929688f, 0.941406f, 0.951660f, 0.958496f, 0.965820f, 0.969238f, 0.974609f, 0.977539f, 0.980469f, - 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, - 0.000243f, 0.000244f, 0.000456f, 0.000592f, 0.000602f, 0.001025f, 0.001282f, 0.001656f, 0.001856f, 0.002073f, 0.002535f, 0.002768f, - 0.003487f, 0.003822f, 0.004574f, 0.005589f, 0.006519f, 0.007336f, 0.008453f, 0.009911f, 0.011581f, 0.013985f, 0.016373f, 0.019638f, - 0.023819f, 0.028473f, 0.035339f, 0.043945f, 0.055939f, 0.071350f, 0.093140f, 0.123474f, 0.165771f, 0.225342f, 0.304199f, 0.402344f, - 0.509277f, 0.612305f, 0.702148f, 0.771973f, 0.824219f, 0.863281f, 0.891113f, 0.913086f, 0.930176f, 0.942383f, 0.951660f, 0.959473f, - 0.965820f, 0.970215f, 0.974609f, 0.977539f, 0.980957f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.990723f, 0.996582f, 0.996582f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000000f, 0.000243f, 0.000276f, 0.000557f, 0.000594f, 0.000849f, 0.000845f, 0.001282f, - 0.001520f, 0.001774f, 0.002119f, 0.002499f, 0.002840f, 0.003252f, 0.004005f, 0.004555f, 0.005245f, 0.006168f, 0.007233f, 0.008301f, - 0.009911f, 0.011330f, 0.013748f, 0.015945f, 0.019089f, 0.023071f, 0.027786f, 0.034058f, 0.042542f, 0.053619f, 0.068237f, 0.089539f, - 0.117798f, 0.158325f, 0.215698f, 0.293213f, 0.389893f, 0.498291f, 0.603027f, 0.694824f, 0.767090f, 0.821777f, 0.862305f, 0.891113f, - 0.914062f, 0.930176f, 0.942383f, 0.952148f, 0.959473f, 0.965820f, 0.971680f, 0.975098f, 0.978516f, 0.981445f, 0.983887f, 0.985840f, - 0.988281f, 0.989258f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996094f, 0.996582f, 0.000240f, 0.000240f, 0.000242f, 0.000365f, - 0.000678f, 0.000779f, 0.000957f, 0.001003f, 0.001390f, 0.001656f, 0.001828f, 0.002274f, 0.002455f, 0.003210f, 0.003704f, 0.004097f, - 0.004616f, 0.005409f, 0.006180f, 0.007092f, 0.008453f, 0.009521f, 0.011154f, 0.013397f, 0.015656f, 0.018509f, 0.022247f, 0.026810f, - 0.032928f, 0.041046f, 0.051727f, 0.065613f, 0.085205f, 0.113098f, 0.152832f, 0.208496f, 0.284424f, 0.380371f, 0.489258f, 0.596680f, - 0.690918f, 0.764648f, 0.821777f, 0.862305f, 0.892578f, 0.914551f, 0.931152f, 0.943848f, 0.953613f, 0.960938f, 0.967773f, 0.971680f, - 0.976074f, 0.979492f, 0.982422f, 0.984863f, 0.986816f, 0.988281f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, - 0.000000f, 0.000242f, 0.000242f, 0.000364f, 0.000465f, 0.000803f, 0.000927f, 0.000956f, 0.001275f, 0.001335f, 0.001570f, 0.001968f, - 0.002184f, 0.002726f, 0.003069f, 0.003294f, 0.003906f, 0.004662f, 0.005245f, 0.006027f, 0.007191f, 0.008202f, 0.009460f, 0.010735f, - 0.012970f, 0.015404f, 0.018051f, 0.021484f, 0.026321f, 0.032135f, 0.039581f, 0.049805f, 0.063538f, 0.082458f, 0.109497f, 0.147827f, - 0.202393f, 0.277344f, 0.373535f, 0.483887f, 0.593262f, 0.688477f, 0.764648f, 0.821289f, 0.863281f, 0.894043f, 0.916016f, 0.932129f, - 0.944336f, 0.954590f, 0.962402f, 0.968262f, 0.973633f, 0.977051f, 0.980957f, 0.983398f, 0.985352f, 0.987793f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.000000f, 0.000239f, 0.000360f, 0.000362f, 0.000363f, 0.000475f, 0.000767f, 0.000931f, - 0.000951f, 0.001211f, 0.001491f, 0.001634f, 0.002129f, 0.002457f, 0.002678f, 0.002995f, 0.003393f, 0.003922f, 0.004711f, 0.005135f, - 0.005955f, 0.006935f, 0.008072f, 0.009270f, 0.010841f, 0.012558f, 0.014618f, 0.017502f, 0.020828f, 0.025269f, 0.030884f, 0.038269f, - 0.048218f, 0.061554f, 0.080505f, 0.106567f, 0.144287f, 0.197998f, 0.272705f, 0.369141f, 0.480469f, 0.591797f, 0.690430f, 0.767090f, - 0.824707f, 0.866699f, 0.896484f, 0.918457f, 0.934570f, 0.946777f, 0.956543f, 0.963379f, 0.969727f, 0.974609f, 0.978027f, 0.981934f, - 0.984375f, 0.986328f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000000f, 0.000208f, 0.000238f, 0.000362f, - 0.000363f, 0.000555f, 0.000600f, 0.000888f, 0.001140f, 0.001140f, 0.001272f, 0.001661f, 0.001811f, 0.002041f, 0.002550f, 0.002636f, - 0.002941f, 0.003492f, 0.004032f, 0.004593f, 0.005062f, 0.005875f, 0.007015f, 0.007965f, 0.009079f, 0.010300f, 0.012291f, 0.014229f, - 0.016937f, 0.020248f, 0.024689f, 0.030151f, 0.037354f, 0.047028f, 0.060211f, 0.078491f, 0.104431f, 0.141602f, 0.195068f, 0.270264f, - 0.367676f, 0.480957f, 0.594238f, 0.693848f, 0.770996f, 0.828613f, 0.869629f, 0.898438f, 0.921875f, 0.937012f, 0.949219f, 0.958008f, - 0.964844f, 0.971680f, 0.976074f, 0.979980f, 0.982422f, 0.985840f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.995117f, 0.995117f, - 0.000000f, 0.000000f, 0.000229f, 0.000358f, 0.000479f, 0.000362f, 0.000498f, 0.000634f, 0.000836f, 0.000927f, 0.001288f, 0.001244f, - 0.001605f, 0.001732f, 0.002106f, 0.002478f, 0.002613f, 0.003183f, 0.003510f, 0.004021f, 0.004528f, 0.005047f, 0.005768f, 0.006859f, - 0.007759f, 0.008865f, 0.009933f, 0.011742f, 0.013741f, 0.016678f, 0.019897f, 0.024017f, 0.029297f, 0.036469f, 0.045990f, 0.058990f, - 0.077026f, 0.102722f, 0.140015f, 0.193604f, 0.269531f, 0.369141f, 0.485107f, 0.600098f, 0.700195f, 0.777344f, 0.833984f, 0.873535f, - 0.903809f, 0.924316f, 0.940430f, 0.951172f, 0.960938f, 0.968262f, 0.973145f, 0.978027f, 0.980957f, 0.983887f, 0.994629f, 0.995117f, - 0.995117f, 0.995605f, 0.995117f, 0.995117f, 0.000000f, 0.000000f, 0.000078f, 0.000353f, 0.000354f, 0.000360f, 0.000482f, 0.000573f, - 0.000757f, 0.000923f, 0.001230f, 0.001266f, 0.001485f, 0.001679f, 0.001963f, 0.002161f, 0.002235f, 0.002739f, 0.003115f, 0.003563f, - 0.003933f, 0.004436f, 0.004917f, 0.005623f, 0.006599f, 0.007469f, 0.008484f, 0.010101f, 0.011665f, 0.013695f, 0.016403f, 0.019531f, - 0.023300f, 0.028870f, 0.035889f, 0.045135f, 0.058014f, 0.075928f, 0.101746f, 0.139160f, 0.193848f, 0.271729f, 0.374023f, 0.492920f, - 0.609863f, 0.709473f, 0.786133f, 0.842285f, 0.880859f, 0.908691f, 0.928711f, 0.943848f, 0.954102f, 0.963867f, 0.969727f, 0.975098f, - 0.979004f, 0.982422f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994629f, 0.000000f, 0.000000f, 0.000000f, 0.000330f, - 0.000336f, 0.000352f, 0.000478f, 0.000481f, 0.000676f, 0.000822f, 0.001072f, 0.001228f, 0.001283f, 0.001417f, 0.001621f, 0.001938f, - 0.001953f, 0.002377f, 0.002737f, 0.002914f, 0.003624f, 0.003721f, 0.004555f, 0.004845f, 0.005531f, 0.006325f, 0.007244f, 0.008255f, - 0.009911f, 0.011467f, 0.013496f, 0.016068f, 0.018951f, 0.022888f, 0.028183f, 0.035126f, 0.044617f, 0.057220f, 0.075134f, 0.101501f, - 0.139526f, 0.195679f, 0.276123f, 0.381592f, 0.503418f, 0.622070f, 0.721680f, 0.796387f, 0.850098f, 0.887207f, 0.914551f, 0.933594f, - 0.947266f, 0.957520f, 0.966797f, 0.972656f, 0.977539f, 0.980957f, 0.993164f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000243f, 0.000466f, 0.000474f, 0.000475f, 0.000600f, 0.000740f, 0.000796f, 0.001130f, - 0.001333f, 0.001339f, 0.001440f, 0.001575f, 0.001961f, 0.002031f, 0.002388f, 0.002563f, 0.003174f, 0.003345f, 0.003555f, 0.004143f, - 0.004681f, 0.005333f, 0.006191f, 0.007111f, 0.008278f, 0.009666f, 0.011177f, 0.013451f, 0.015511f, 0.018707f, 0.022629f, 0.027847f, - 0.034515f, 0.043976f, 0.056671f, 0.075012f, 0.101685f, 0.140869f, 0.199341f, 0.282959f, 0.393311f, 0.519043f, 0.639160f, 0.736328f, - 0.809082f, 0.860352f, 0.896484f, 0.920898f, 0.939453f, 0.951660f, 0.961914f, 0.969238f, 0.975098f, 0.979492f, 0.993164f, 0.993652f, - 0.994141f, 0.993652f, 0.993652f, 0.993652f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000120f, 0.000367f, 0.000448f, 0.000589f, - 0.000595f, 0.000719f, 0.000707f, 0.000809f, 0.000966f, 0.001217f, 0.001369f, 0.001405f, 0.001579f, 0.001786f, 0.002100f, 0.002260f, - 0.002600f, 0.002762f, 0.003023f, 0.003531f, 0.004219f, 0.004810f, 0.005409f, 0.006092f, 0.007053f, 0.008064f, 0.009163f, 0.010941f, - 0.012733f, 0.015251f, 0.018280f, 0.022202f, 0.027573f, 0.034271f, 0.043732f, 0.056458f, 0.075134f, 0.102661f, 0.143433f, 0.205078f, - 0.293701f, 0.409668f, 0.538574f, 0.658203f, 0.753418f, 0.823242f, 0.870605f, 0.905273f, 0.927734f, 0.943848f, 0.956055f, 0.964844f, - 0.972168f, 0.977539f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.993164f, 0.992676f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, - 0.000224f, 0.000231f, 0.000314f, 0.000562f, 0.000589f, 0.000699f, 0.000717f, 0.000776f, 0.000926f, 0.000968f, 0.001242f, 0.001360f, - 0.001487f, 0.001564f, 0.001713f, 0.002073f, 0.002169f, 0.002380f, 0.002941f, 0.003229f, 0.003534f, 0.003914f, 0.004509f, 0.005127f, - 0.005939f, 0.006596f, 0.007812f, 0.009354f, 0.010559f, 0.012581f, 0.015007f, 0.018021f, 0.022079f, 0.027191f, 0.034119f, 0.043427f, - 0.057190f, 0.075623f, 0.104492f, 0.147949f, 0.213135f, 0.308105f, 0.430664f, 0.562500f, 0.681641f, 0.772949f, 0.839355f, 0.884277f, - 0.913574f, 0.934570f, 0.950195f, 0.961426f, 0.969238f, 0.975098f, 0.991211f, 0.992676f, 0.992676f, 0.992676f, 0.992676f, 0.992188f, - 0.000000f, 0.000000f, 0.000000f, 0.000084f, 0.000117f, 0.000119f, 0.000367f, 0.000473f, 0.000555f, 0.000576f, 0.000674f, 0.000713f, - 0.000816f, 0.000913f, 0.001049f, 0.001168f, 0.001263f, 0.001473f, 0.001580f, 0.001781f, 0.002005f, 0.002123f, 0.002316f, 0.002674f, - 0.003094f, 0.003475f, 0.003967f, 0.004318f, 0.004833f, 0.005798f, 0.006699f, 0.007801f, 0.008888f, 0.010429f, 0.012268f, 0.014824f, - 0.017792f, 0.021790f, 0.026978f, 0.033844f, 0.043518f, 0.057068f, 0.077148f, 0.107605f, 0.154053f, 0.224609f, 0.326904f, 0.456543f, - 0.591797f, 0.708984f, 0.795410f, 0.855957f, 0.895508f, 0.923340f, 0.942383f, 0.955566f, 0.965332f, 0.973145f, 0.991211f, 0.991699f, - 0.992188f, 0.992188f, 0.992188f, 0.991699f, 0.000000f, 0.000000f, 0.000000f, 0.000092f, 0.000070f, 0.000236f, 0.000119f, 0.000376f, - 0.000433f, 0.000561f, 0.000688f, 0.000586f, 0.000742f, 0.000842f, 0.000881f, 0.000937f, 0.001141f, 0.001300f, 0.001434f, 0.001464f, - 0.001598f, 0.001829f, 0.002062f, 0.002338f, 0.002583f, 0.003036f, 0.003460f, 0.003704f, 0.004383f, 0.004986f, 0.005615f, 0.006439f, - 0.007267f, 0.008797f, 0.010330f, 0.012146f, 0.014473f, 0.017532f, 0.021622f, 0.026535f, 0.033539f, 0.043579f, 0.058044f, 0.079041f, - 0.111572f, 0.162109f, 0.239746f, 0.350830f, 0.488770f, 0.625000f, 0.737305f, 0.817871f, 0.871582f, 0.908203f, 0.932129f, 0.949219f, - 0.961914f, 0.970215f, 0.990234f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.000000f, 0.000000f, 0.000000f, 0.000080f, - 0.000100f, 0.000115f, 0.000335f, 0.000350f, 0.000355f, 0.000473f, 0.000633f, 0.000678f, 0.000695f, 0.000694f, 0.000812f, 0.000733f, - 0.001109f, 0.001098f, 0.001260f, 0.001452f, 0.001377f, 0.001534f, 0.001972f, 0.001982f, 0.002232f, 0.002567f, 0.002764f, 0.003273f, - 0.003542f, 0.004181f, 0.004738f, 0.005466f, 0.006268f, 0.007126f, 0.008614f, 0.010170f, 0.012093f, 0.014359f, 0.017075f, 0.021042f, - 0.026459f, 0.033722f, 0.044159f, 0.059113f, 0.082092f, 0.117249f, 0.173218f, 0.259766f, 0.382080f, 0.526367f, 0.662598f, 0.768066f, - 0.840332f, 0.889648f, 0.920410f, 0.940918f, 0.956543f, 0.966309f, 0.989746f, 0.990234f, 0.990723f, 0.990723f, 0.990723f, 0.990723f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000191f, 0.000236f, 0.000335f, 0.000337f, 0.000466f, 0.000399f, 0.000608f, - 0.000626f, 0.000669f, 0.000696f, 0.000808f, 0.000859f, 0.000915f, 0.000903f, 0.001168f, 0.001245f, 0.001500f, 0.001525f, 0.001863f, - 0.001941f, 0.002121f, 0.002399f, 0.002861f, 0.002953f, 0.003632f, 0.004105f, 0.004745f, 0.005333f, 0.006317f, 0.007236f, 0.008255f, - 0.009857f, 0.011414f, 0.014015f, 0.016922f, 0.020828f, 0.026321f, 0.034149f, 0.044861f, 0.061279f, 0.085571f, 0.124878f, 0.187866f, - 0.285645f, 0.420654f, 0.570801f, 0.703125f, 0.799805f, 0.864258f, 0.905273f, 0.932129f, 0.950684f, 0.963379f, 0.988770f, 0.989258f, - 0.989746f, 0.989746f, 0.989746f, 0.989746f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000125f, 0.000232f, - 0.000360f, 0.000342f, 0.000463f, 0.000388f, 0.000569f, 0.000638f, 0.000671f, 0.000791f, 0.000774f, 0.000943f, 0.000774f, 0.001018f, - 0.001044f, 0.001245f, 0.001377f, 0.001410f, 0.001643f, 0.001970f, 0.002041f, 0.002316f, 0.002758f, 0.003023f, 0.003433f, 0.003859f, - 0.004444f, 0.005180f, 0.006134f, 0.006920f, 0.008102f, 0.009354f, 0.011475f, 0.013649f, 0.016739f, 0.021011f, 0.026566f, 0.034454f, - 0.046051f, 0.063843f, 0.090942f, 0.135498f, 0.207642f, 0.319580f, 0.467529f, 0.620605f, 0.745605f, 0.830566f, 0.886230f, 0.920898f, - 0.943848f, 0.958984f, 0.987793f, 0.988281f, 0.988770f, 0.988770f, 0.988281f, 0.988770f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, - 0.000122f, 0.000122f, 0.000188f, 0.000200f, 0.000332f, 0.000417f, 0.000338f, 0.000459f, 0.000349f, 0.000558f, 0.000642f, 0.000636f, - 0.000629f, 0.000807f, 0.000695f, 0.000747f, 0.000827f, 0.001058f, 0.001182f, 0.001269f, 0.001422f, 0.001472f, 0.001921f, 0.002100f, - 0.002337f, 0.002462f, 0.003073f, 0.003374f, 0.003708f, 0.004265f, 0.004826f, 0.005646f, 0.006596f, 0.007710f, 0.008926f, 0.011063f, - 0.013580f, 0.016495f, 0.020737f, 0.026459f, 0.035126f, 0.047791f, 0.066833f, 0.097778f, 0.149170f, 0.233887f, 0.363037f, 0.523438f, - 0.674805f, 0.788086f, 0.860352f, 0.906250f, 0.935547f, 0.954102f, 0.986328f, 0.987305f, 0.987305f, 0.987305f, 0.987305f, 0.987793f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000175f, 0.000155f, 0.000319f, 0.000241f, 0.000318f, - 0.000455f, 0.000462f, 0.000496f, 0.000593f, 0.000516f, 0.000564f, 0.000667f, 0.000668f, 0.000715f, 0.000749f, 0.000925f, 0.001111f, - 0.001246f, 0.001381f, 0.001443f, 0.001856f, 0.001997f, 0.002264f, 0.002363f, 0.002880f, 0.003212f, 0.003727f, 0.004208f, 0.004673f, - 0.005394f, 0.006367f, 0.007404f, 0.009003f, 0.010651f, 0.013138f, 0.016312f, 0.020767f, 0.027054f, 0.036377f, 0.050262f, 0.071655f, - 0.107361f, 0.167969f, 0.269287f, 0.418457f, 0.587402f, 0.730957f, 0.828125f, 0.888184f, 0.924805f, 0.948242f, 0.984863f, 0.986328f, - 0.986328f, 0.985840f, 0.986328f, 0.986328f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, - 0.000202f, 0.000133f, 0.000215f, 0.000263f, 0.000304f, 0.000442f, 0.000332f, 0.000365f, 0.000403f, 0.000549f, 0.000607f, 0.000750f, - 0.000788f, 0.000802f, 0.000841f, 0.000958f, 0.001049f, 0.001188f, 0.001354f, 0.001318f, 0.001582f, 0.001928f, 0.002064f, 0.002321f, - 0.002594f, 0.003042f, 0.003222f, 0.003796f, 0.004440f, 0.005112f, 0.006081f, 0.007259f, 0.008736f, 0.010612f, 0.013077f, 0.016464f, - 0.020950f, 0.027664f, 0.037506f, 0.052795f, 0.077698f, 0.120361f, 0.194336f, 0.317627f, 0.486572f, 0.657227f, 0.785156f, 0.865234f, - 0.913086f, 0.942871f, 0.983887f, 0.984863f, 0.984375f, 0.984863f, 0.984375f, 0.984863f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000152f, 0.000257f, 0.000243f, 0.000288f, 0.000345f, 0.000228f, - 0.000358f, 0.000363f, 0.000432f, 0.000494f, 0.000530f, 0.000582f, 0.000762f, 0.000771f, 0.000913f, 0.000978f, 0.001100f, 0.001305f, - 0.001373f, 0.001706f, 0.001712f, 0.001922f, 0.002155f, 0.002569f, 0.002573f, 0.003094f, 0.003401f, 0.004272f, 0.004978f, 0.005829f, - 0.006924f, 0.008453f, 0.010452f, 0.012871f, 0.016617f, 0.021072f, 0.028427f, 0.039429f, 0.056732f, 0.086243f, 0.138916f, 0.231812f, - 0.381592f, 0.566406f, 0.726562f, 0.833496f, 0.896973f, 0.933594f, 0.981934f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000127f, 0.000215f, - 0.000159f, 0.000233f, 0.000284f, 0.000326f, 0.000339f, 0.000339f, 0.000352f, 0.000394f, 0.000623f, 0.000622f, 0.000731f, 0.000730f, - 0.000741f, 0.000829f, 0.000914f, 0.001017f, 0.001151f, 0.001469f, 0.001263f, 0.001480f, 0.001740f, 0.002069f, 0.002104f, 0.002443f, - 0.002831f, 0.003519f, 0.003929f, 0.004627f, 0.005455f, 0.006634f, 0.008316f, 0.009949f, 0.012596f, 0.016495f, 0.021729f, 0.029877f, - 0.042084f, 0.062805f, 0.098694f, 0.165283f, 0.284668f, 0.465088f, 0.654297f, 0.793945f, 0.877930f, 0.924805f, 0.979980f, 0.980957f, - 0.980957f, 0.981445f, 0.981445f, 0.980957f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, - 0.000121f, 0.000121f, 0.000150f, 0.000163f, 0.000069f, 0.000057f, 0.000121f, 0.000231f, 0.000291f, 0.000304f, 0.000334f, 0.000339f, - 0.000346f, 0.000569f, 0.000648f, 0.000674f, 0.000649f, 0.000697f, 0.000772f, 0.000834f, 0.000972f, 0.001005f, 0.001189f, 0.001359f, - 0.001237f, 0.001567f, 0.001794f, 0.001963f, 0.002378f, 0.002712f, 0.002867f, 0.003853f, 0.004330f, 0.005196f, 0.006516f, 0.008026f, - 0.009888f, 0.012703f, 0.016479f, 0.022110f, 0.031158f, 0.045746f, 0.070557f, 0.117004f, 0.204956f, 0.360596f, 0.564453f, 0.740723f, - 0.852051f, 0.912598f, 0.977539f, 0.979492f, 0.979492f, 0.979004f, 0.979492f, 0.979004f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000098f, 0.000082f, 0.000067f, 0.000056f, 0.000124f, - 0.000193f, 0.000240f, 0.000258f, 0.000310f, 0.000326f, 0.000335f, 0.000341f, 0.000471f, 0.000613f, 0.000494f, 0.000716f, 0.000742f, - 0.000804f, 0.000873f, 0.000832f, 0.001070f, 0.001120f, 0.001146f, 0.001225f, 0.001696f, 0.001814f, 0.002041f, 0.002419f, 0.002941f, - 0.003433f, 0.004154f, 0.004818f, 0.006077f, 0.007652f, 0.009521f, 0.012444f, 0.017029f, 0.023193f, 0.033539f, 0.050690f, 0.082092f, - 0.144043f, 0.265869f, 0.463379f, 0.672363f, 0.818848f, 0.898438f, 0.975586f, 0.976562f, 0.976562f, 0.976562f, 0.976074f, 0.976562f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000114f, - 0.000096f, 0.000079f, 0.000125f, 0.000056f, 0.000142f, 0.000120f, 0.000195f, 0.000246f, 0.000321f, 0.000305f, 0.000319f, 0.000395f, - 0.000442f, 0.000540f, 0.000642f, 0.000638f, 0.000696f, 0.000674f, 0.000687f, 0.000857f, 0.000955f, 0.001128f, 0.001224f, 0.001364f, - 0.001347f, 0.001555f, 0.001910f, 0.002245f, 0.002714f, 0.003229f, 0.003824f, 0.004673f, 0.005676f, 0.007225f, 0.009293f, 0.012802f, - 0.017273f, 0.024368f, 0.036682f, 0.058075f, 0.100952f, 0.188721f, 0.358154f, 0.587891f, 0.775879f, 0.881348f, 0.972168f, 0.972656f, - 0.972656f, 0.973145f, 0.973145f, 0.973633f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000112f, 0.000093f, 0.000079f, 0.000067f, 0.000057f, 0.000049f, 0.000133f, 0.000137f, - 0.000163f, 0.000244f, 0.000328f, 0.000366f, 0.000356f, 0.000415f, 0.000436f, 0.000543f, 0.000555f, 0.000638f, 0.000597f, 0.000702f, - 0.000786f, 0.000648f, 0.000891f, 0.000804f, 0.001218f, 0.001070f, 0.001355f, 0.001731f, 0.002171f, 0.002352f, 0.002796f, 0.003546f, - 0.004189f, 0.005558f, 0.006939f, 0.009209f, 0.012337f, 0.017776f, 0.026016f, 0.040833f, 0.069946f, 0.130981f, 0.262207f, 0.489258f, - 0.719238f, 0.859375f, 0.968262f, 0.969238f, 0.969727f, 0.969727f, 0.969727f, 0.969727f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000110f, 0.000093f, 0.000080f, - 0.000068f, 0.000094f, 0.000119f, 0.000117f, 0.000120f, 0.000123f, 0.000173f, 0.000263f, 0.000263f, 0.000359f, 0.000386f, 0.000390f, - 0.000401f, 0.000556f, 0.000549f, 0.000573f, 0.000502f, 0.000707f, 0.000789f, 0.000629f, 0.000847f, 0.001003f, 0.001024f, 0.001242f, - 0.001423f, 0.001877f, 0.002012f, 0.002571f, 0.003071f, 0.003925f, 0.005131f, 0.006767f, 0.009140f, 0.012672f, 0.018509f, 0.028992f, - 0.048309f, 0.089233f, 0.183838f, 0.383545f, 0.646973f, 0.830078f, 0.963867f, 0.964844f, 0.964844f, 0.965820f, 0.965820f, 0.965820f, - 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, - 0.000119f, 0.000119f, 0.000113f, 0.000095f, 0.000083f, 0.000070f, 0.000061f, 0.000054f, 0.000048f, 0.000042f, 0.000115f, 0.000112f, - 0.000151f, 0.000213f, 0.000309f, 0.000298f, 0.000359f, 0.000337f, 0.000382f, 0.000440f, 0.000576f, 0.000477f, 0.000453f, 0.000690f, - 0.000687f, 0.000795f, 0.000776f, 0.000911f, 0.001117f, 0.001119f, 0.001352f, 0.002001f, 0.002140f, 0.002832f, 0.003609f, 0.004715f, - 0.006302f, 0.008835f, 0.013115f, 0.020004f, 0.032867f, 0.060333f, 0.124512f, 0.281982f, 0.557617f, 0.794434f, 0.959473f, 0.959961f, - 0.960449f, 0.960449f, 0.960449f, 0.959961f, 0.000122f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, - 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000116f, 0.000098f, 0.000087f, 0.000076f, 0.000065f, - 0.000057f, 0.000050f, 0.000045f, 0.000091f, 0.000074f, 0.000106f, 0.000185f, 0.000193f, 0.000228f, 0.000328f, 0.000323f, 0.000399f, - 0.000429f, 0.000498f, 0.000552f, 0.000432f, 0.000542f, 0.000592f, 0.000599f, 0.000729f, 0.000734f, 0.000885f, 0.001304f, 0.001273f, - 0.001756f, 0.001931f, 0.002445f, 0.003120f, 0.004456f, 0.006165f, 0.008751f, 0.013466f, 0.022141f, 0.040192f, 0.082397f, 0.195679f, - 0.455322f, 0.745117f, 0.952637f, 0.953613f, 0.953613f, 0.954102f, 0.952637f, 0.953613f, 0.000000f, 0.000120f, 0.000120f, 0.000119f, - 0.000119f, 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, - 0.000117f, 0.000104f, 0.000092f, 0.000079f, 0.000071f, 0.000062f, 0.000055f, 0.000049f, 0.000044f, 0.000039f, 0.000099f, 0.000106f, - 0.000158f, 0.000169f, 0.000241f, 0.000274f, 0.000293f, 0.000389f, 0.000360f, 0.000399f, 0.000387f, 0.000446f, 0.000401f, 0.000530f, - 0.000565f, 0.000691f, 0.000722f, 0.000848f, 0.001147f, 0.001418f, 0.001677f, 0.002087f, 0.002972f, 0.004169f, 0.005623f, 0.008835f, - 0.014404f, 0.026077f, 0.053467f, 0.129395f, 0.346924f, 0.685059f, 0.943848f, 0.945801f, 0.945801f, 0.945312f, 0.945801f, 0.945801f, - 0.000000f, 0.000000f, 0.000117f, 0.000116f, 0.000117f, 0.000117f, 0.000116f, 0.000116f, 0.000115f, 0.000116f, 0.000115f, 0.000116f, - 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000110f, 0.000097f, 0.000086f, 0.000077f, 0.000067f, 0.000060f, - 0.000053f, 0.000048f, 0.000043f, 0.000061f, 0.000090f, 0.000083f, 0.000139f, 0.000139f, 0.000216f, 0.000254f, 0.000307f, 0.000358f, - 0.000269f, 0.000377f, 0.000324f, 0.000369f, 0.000405f, 0.000455f, 0.000524f, 0.000706f, 0.000701f, 0.001012f, 0.001206f, 0.001316f, - 0.001663f, 0.002350f, 0.003571f, 0.005505f, 0.008873f, 0.016006f, 0.033234f, 0.081848f, 0.244751f, 0.605469f, 0.934082f, 0.935059f, - 0.936035f, 0.935547f, 0.935547f, 0.935547f, 0.000105f, 0.000114f, 0.000113f, 0.000113f, 0.000111f, 0.000111f, 0.000112f, 0.000111f, - 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000111f, 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000112f, - 0.000105f, 0.000093f, 0.000083f, 0.000074f, 0.000066f, 0.000059f, 0.000053f, 0.000048f, 0.000043f, 0.000062f, 0.000052f, 0.000063f, - 0.000092f, 0.000146f, 0.000176f, 0.000216f, 0.000227f, 0.000263f, 0.000244f, 0.000267f, 0.000370f, 0.000326f, 0.000360f, 0.000391f, - 0.000505f, 0.000618f, 0.000726f, 0.000969f, 0.001117f, 0.001651f, 0.002131f, 0.003090f, 0.005188f, 0.009499f, 0.019836f, 0.049042f, - 0.159180f, 0.509766f, 0.921875f, 0.922852f, 0.922852f, 0.922363f, 0.923340f, 0.922852f, 0.000000f, 0.000000f, 0.000065f, 0.000098f, - 0.000096f, 0.000101f, 0.000100f, 0.000104f, 0.000104f, 0.000103f, 0.000106f, 0.000106f, 0.000106f, 0.000105f, 0.000107f, 0.000107f, - 0.000106f, 0.000107f, 0.000107f, 0.000108f, 0.000107f, 0.000108f, 0.000104f, 0.000092f, 0.000082f, 0.000075f, 0.000067f, 0.000059f, - 0.000054f, 0.000048f, 0.000044f, 0.000039f, 0.000037f, 0.000058f, 0.000066f, 0.000122f, 0.000137f, 0.000175f, 0.000208f, 0.000194f, - 0.000208f, 0.000240f, 0.000270f, 0.000281f, 0.000323f, 0.000364f, 0.000479f, 0.000591f, 0.000712f, 0.000986f, 0.001224f, 0.001896f, - 0.002996f, 0.005196f, 0.010506f, 0.027527f, 0.095581f, 0.399658f, 0.905762f, 0.906738f, 0.906250f, 0.905762f, 0.905762f, 0.907227f, - 0.000000f, 0.000000f, 0.000000f, 0.000017f, 0.000030f, 0.000054f, 0.000061f, 0.000081f, 0.000087f, 0.000088f, 0.000089f, 0.000093f, - 0.000093f, 0.000096f, 0.000096f, 0.000097f, 0.000098f, 0.000099f, 0.000098f, 0.000100f, 0.000100f, 0.000101f, 0.000100f, 0.000101f, - 0.000101f, 0.000092f, 0.000082f, 0.000074f, 0.000067f, 0.000060f, 0.000054f, 0.000049f, 0.000045f, 0.000040f, 0.000036f, 0.000037f, - 0.000059f, 0.000077f, 0.000093f, 0.000143f, 0.000155f, 0.000188f, 0.000178f, 0.000184f, 0.000231f, 0.000234f, 0.000272f, 0.000352f, - 0.000420f, 0.000525f, 0.000764f, 0.001091f, 0.001653f, 0.002705f, 0.005474f, 0.013939f, 0.051880f, 0.283691f, 0.883789f, 0.884766f, - 0.885254f, 0.885254f, 0.885742f, 0.885254f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000013f, - 0.000032f, 0.000046f, 0.000050f, 0.000060f, 0.000065f, 0.000065f, 0.000075f, 0.000078f, 0.000080f, 0.000079f, 0.000084f, 0.000083f, - 0.000087f, 0.000087f, 0.000089f, 0.000090f, 0.000091f, 0.000091f, 0.000092f, 0.000092f, 0.000083f, 0.000075f, 0.000068f, 0.000062f, - 0.000056f, 0.000050f, 0.000046f, 0.000042f, 0.000037f, 0.000039f, 0.000044f, 0.000072f, 0.000068f, 0.000089f, 0.000125f, 0.000124f, - 0.000126f, 0.000153f, 0.000183f, 0.000212f, 0.000219f, 0.000311f, 0.000363f, 0.000566f, 0.000846f, 0.001332f, 0.002522f, 0.006252f, - 0.023834f, 0.175415f, 0.855957f, 0.856934f, 0.856934f, 0.856934f, 0.857422f, 0.856934f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000024f, 0.000028f, - 0.000040f, 0.000044f, 0.000051f, 0.000053f, 0.000060f, 0.000063f, 0.000064f, 0.000067f, 0.000071f, 0.000072f, 0.000074f, 0.000076f, - 0.000077f, 0.000079f, 0.000079f, 0.000075f, 0.000068f, 0.000062f, 0.000056f, 0.000051f, 0.000046f, 0.000042f, 0.000038f, 0.000034f, - 0.000031f, 0.000030f, 0.000045f, 0.000079f, 0.000081f, 0.000107f, 0.000114f, 0.000106f, 0.000144f, 0.000136f, 0.000171f, 0.000254f, - 0.000377f, 0.000531f, 0.001037f, 0.002504f, 0.009140f, 0.088379f, 0.818848f, 0.820801f, 0.819824f, 0.820312f, 0.819336f, 0.820801f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000014f, 0.000021f, 0.000028f, - 0.000034f, 0.000036f, 0.000042f, 0.000046f, 0.000049f, 0.000052f, 0.000054f, 0.000056f, 0.000059f, 0.000061f, 0.000064f, 0.000061f, - 0.000055f, 0.000050f, 0.000045f, 0.000041f, 0.000037f, 0.000033f, 0.000030f, 0.000027f, 0.000024f, 0.000033f, 0.000060f, 0.000059f, - 0.000075f, 0.000073f, 0.000101f, 0.000089f, 0.000144f, 0.000226f, 0.000384f, 0.000847f, 0.003033f, 0.031860f, 0.770020f, 0.770996f, - 0.772461f, 0.771973f, 0.772461f, 0.771973f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, 0.000016f, - 0.000021f, 0.000023f, 0.000029f, 0.000032f, 0.000036f, 0.000039f, 0.000042f, 0.000044f, 0.000042f, 0.000038f, 0.000035f, 0.000031f, - 0.000028f, 0.000025f, 0.000022f, 0.000020f, 0.000017f, 0.000024f, 0.000040f, 0.000047f, 0.000053f, 0.000063f, 0.000087f, 0.000190f, - 0.000666f, 0.007278f, 0.708496f, 0.709961f, 0.710449f, 0.710938f, 0.710938f, 0.710449f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, - 0.000005f, 0.000010f, 0.000014f, 0.000018f, 0.000021f, 0.000024f, 0.000024f, 0.000021f, 0.000018f, 0.000016f, 0.000014f, 0.000012f, - 0.000008f, 0.000020f, 0.000022f, 0.000025f, 0.000073f, 0.000744f, 0.632324f, 0.632812f, 0.633789f, 0.633789f, 0.633301f, 0.632812f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000007f, 0.000006f, 0.000004f, 0.000005f, 0.000007f, 0.543945f, 0.545410f, - 0.545410f, 0.545410f, 0.546387f, 0.545898f, - }, - { - 0.159546f, 0.492676f, 0.684570f, 0.783203f, 0.838379f, 0.873535f, 0.897949f, 0.913574f, 0.926270f, 0.936035f, 0.943359f, 0.950195f, - 0.955566f, 0.959473f, 0.963379f, 0.966797f, 0.969238f, 0.972168f, 0.973633f, 0.976562f, 0.978027f, 0.979492f, 0.980957f, 0.982422f, - 0.983887f, 0.984863f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, 0.989746f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, - 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, - 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.034119f, 0.154175f, 0.341309f, 0.532227f, 0.672363f, 0.763184f, 0.820801f, 0.858398f, - 0.885742f, 0.904297f, 0.918945f, 0.929199f, 0.938965f, 0.945801f, 0.951660f, 0.956543f, 0.961426f, 0.964355f, 0.968262f, 0.970703f, - 0.973145f, 0.975586f, 0.977539f, 0.979004f, 0.980469f, 0.981934f, 0.983398f, 0.984375f, 0.985352f, 0.986328f, 0.987305f, 0.988281f, - 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, - 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.013390f, 0.056915f, 0.134155f, 0.257080f, - 0.412109f, 0.560547f, 0.675781f, 0.755859f, 0.812012f, 0.851074f, 0.877930f, 0.898926f, 0.913574f, 0.925781f, 0.935059f, 0.942871f, - 0.949707f, 0.954590f, 0.959473f, 0.963379f, 0.966797f, 0.969238f, 0.971680f, 0.975098f, 0.976562f, 0.978516f, 0.979980f, 0.980957f, - 0.982422f, 0.984375f, 0.985352f, 0.985840f, 0.987305f, 0.987793f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.991699f, 0.992188f, - 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, - 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, - 0.006939f, 0.027863f, 0.061951f, 0.117859f, 0.204834f, 0.324707f, 0.460205f, 0.585449f, 0.684570f, 0.757324f, 0.810059f, 0.847168f, - 0.874023f, 0.895996f, 0.910645f, 0.922852f, 0.933105f, 0.940918f, 0.947754f, 0.953613f, 0.958496f, 0.961914f, 0.965820f, 0.968750f, - 0.971680f, 0.974121f, 0.976074f, 0.978027f, 0.979492f, 0.981445f, 0.982910f, 0.983887f, 0.984863f, 0.986328f, 0.987305f, 0.988281f, - 0.988770f, 0.989746f, 0.990234f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, - 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.004211f, 0.016022f, 0.034119f, 0.061432f, 0.104797f, 0.170288f, 0.262695f, 0.377686f, - 0.499756f, 0.608887f, 0.696777f, 0.762207f, 0.810547f, 0.847168f, 0.873535f, 0.893066f, 0.910156f, 0.922852f, 0.932617f, 0.939941f, - 0.946777f, 0.953125f, 0.958496f, 0.961914f, 0.965332f, 0.968750f, 0.971680f, 0.973633f, 0.975586f, 0.977539f, 0.979492f, 0.981445f, - 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987793f, 0.987793f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, - 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, - 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999023f, 0.999512f, 0.999023f, 0.999023f, 0.002724f, 0.010384f, 0.020813f, 0.036285f, - 0.059784f, 0.093933f, 0.145508f, 0.218018f, 0.313232f, 0.424072f, 0.534180f, 0.632812f, 0.709961f, 0.769531f, 0.815918f, 0.848145f, - 0.874512f, 0.894043f, 0.909668f, 0.922363f, 0.932129f, 0.939941f, 0.946777f, 0.953125f, 0.958008f, 0.961914f, 0.965332f, 0.968750f, - 0.971680f, 0.973633f, 0.976562f, 0.978516f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.985352f, 0.986816f, 0.987793f, 0.988281f, - 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, - 0.002113f, 0.007004f, 0.014091f, 0.023895f, 0.037811f, 0.057373f, 0.085632f, 0.127075f, 0.185425f, 0.263672f, 0.360596f, 0.465576f, - 0.566895f, 0.655762f, 0.725586f, 0.779297f, 0.822266f, 0.853516f, 0.877441f, 0.895996f, 0.911621f, 0.923828f, 0.933105f, 0.940918f, - 0.947754f, 0.953613f, 0.957520f, 0.962402f, 0.965820f, 0.968750f, 0.972168f, 0.974121f, 0.976074f, 0.978027f, 0.980469f, 0.981934f, - 0.983398f, 0.984863f, 0.985352f, 0.986328f, 0.988281f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, - 0.993652f, 0.994629f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.001575f, 0.005211f, 0.010040f, 0.016220f, 0.025665f, 0.037415f, 0.054138f, 0.078491f, - 0.112915f, 0.160156f, 0.225464f, 0.308594f, 0.405029f, 0.506348f, 0.599121f, 0.678711f, 0.743164f, 0.791016f, 0.829590f, 0.859375f, - 0.881836f, 0.899414f, 0.913086f, 0.924805f, 0.934570f, 0.942383f, 0.948730f, 0.955078f, 0.958984f, 0.963379f, 0.966797f, 0.970215f, - 0.972168f, 0.974609f, 0.977051f, 0.979004f, 0.980957f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, - 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, - 0.996582f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.000985f, 0.004086f, 0.007362f, 0.011887f, - 0.018127f, 0.026199f, 0.036804f, 0.052002f, 0.072754f, 0.101318f, 0.140747f, 0.195190f, 0.266113f, 0.352539f, 0.448730f, 0.543945f, - 0.630371f, 0.702637f, 0.759277f, 0.803711f, 0.839355f, 0.865234f, 0.886719f, 0.903320f, 0.916504f, 0.927734f, 0.936523f, 0.944336f, - 0.950195f, 0.955566f, 0.959961f, 0.964355f, 0.967773f, 0.970215f, 0.973145f, 0.975586f, 0.978027f, 0.979004f, 0.980957f, 0.982910f, - 0.984375f, 0.985352f, 0.987305f, 0.987305f, 0.988770f, 0.990234f, 0.990234f, 0.991699f, 0.991699f, 0.993164f, 0.993164f, 0.993652f, - 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.999023f, - 0.000829f, 0.002878f, 0.005596f, 0.009109f, 0.013359f, 0.019089f, 0.026901f, 0.036774f, 0.049347f, 0.067200f, 0.091736f, 0.125854f, - 0.171631f, 0.232544f, 0.308594f, 0.397461f, 0.491455f, 0.581055f, 0.659668f, 0.724609f, 0.775879f, 0.817383f, 0.848633f, 0.873047f, - 0.892090f, 0.907715f, 0.920410f, 0.930664f, 0.939453f, 0.946289f, 0.951660f, 0.957520f, 0.960938f, 0.965820f, 0.968750f, 0.972168f, - 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.983887f, 0.984863f, 0.986328f, 0.986816f, 0.988770f, 0.989746f, 0.990234f, - 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996582f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000836f, 0.002403f, 0.004837f, 0.006950f, 0.010269f, 0.014679f, 0.019699f, 0.026291f, - 0.035431f, 0.046875f, 0.062744f, 0.084045f, 0.113403f, 0.152588f, 0.204712f, 0.271729f, 0.353271f, 0.443115f, 0.532715f, 0.617188f, - 0.688477f, 0.748047f, 0.793945f, 0.829102f, 0.857422f, 0.880371f, 0.898438f, 0.912598f, 0.924316f, 0.934082f, 0.941406f, 0.948242f, - 0.954590f, 0.959473f, 0.963379f, 0.967285f, 0.970215f, 0.973145f, 0.975586f, 0.977539f, 0.979980f, 0.981445f, 0.982910f, 0.984375f, - 0.985840f, 0.987305f, 0.988281f, 0.988770f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, - 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.000698f, 0.002052f, 0.003618f, 0.005703f, - 0.008430f, 0.011230f, 0.015083f, 0.019821f, 0.026474f, 0.034393f, 0.044922f, 0.059204f, 0.077698f, 0.102661f, 0.136963f, 0.182373f, - 0.241089f, 0.314941f, 0.398926f, 0.489014f, 0.575195f, 0.652344f, 0.717285f, 0.769043f, 0.810059f, 0.842773f, 0.869141f, 0.888672f, - 0.904785f, 0.917969f, 0.928711f, 0.936523f, 0.945312f, 0.951660f, 0.957031f, 0.961426f, 0.964844f, 0.968750f, 0.971680f, 0.974121f, - 0.976562f, 0.979004f, 0.980469f, 0.982422f, 0.983887f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.990234f, 0.990723f, 0.991699f, - 0.992676f, 0.993164f, 0.994141f, 0.994141f, 0.994629f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, - 0.000244f, 0.001565f, 0.002975f, 0.004433f, 0.006596f, 0.008957f, 0.012215f, 0.015533f, 0.020294f, 0.026062f, 0.033722f, 0.042816f, - 0.055237f, 0.071960f, 0.094543f, 0.124023f, 0.164185f, 0.216309f, 0.281738f, 0.360352f, 0.446533f, 0.534180f, 0.615234f, 0.686523f, - 0.743652f, 0.790527f, 0.825684f, 0.855957f, 0.878418f, 0.895996f, 0.911133f, 0.923340f, 0.933105f, 0.941406f, 0.948242f, 0.953613f, - 0.959473f, 0.963379f, 0.966797f, 0.970703f, 0.973145f, 0.976074f, 0.978516f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986328f, - 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.998047f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.000365f, 0.001394f, 0.002546f, 0.004055f, 0.005394f, 0.007465f, 0.009674f, 0.012070f, - 0.015556f, 0.019913f, 0.025696f, 0.032623f, 0.041046f, 0.052643f, 0.067383f, 0.087463f, 0.113708f, 0.148315f, 0.194946f, 0.254395f, - 0.326416f, 0.408691f, 0.495117f, 0.579102f, 0.654297f, 0.716797f, 0.768066f, 0.809570f, 0.843262f, 0.868652f, 0.888184f, 0.904785f, - 0.918457f, 0.929199f, 0.937500f, 0.945801f, 0.951660f, 0.957520f, 0.961914f, 0.965820f, 0.969238f, 0.972656f, 0.975098f, 0.978027f, - 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, 0.989258f, 0.989746f, 0.991211f, 0.991211f, 0.992188f, 0.993164f, - 0.993652f, 0.994629f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.000596f, 0.001077f, 0.001882f, 0.003033f, - 0.004559f, 0.006241f, 0.007805f, 0.010002f, 0.012840f, 0.015900f, 0.019974f, 0.025131f, 0.031250f, 0.039337f, 0.049988f, 0.063843f, - 0.080933f, 0.105164f, 0.135986f, 0.176880f, 0.230103f, 0.296631f, 0.374268f, 0.459961f, 0.544434f, 0.623535f, 0.691895f, 0.748535f, - 0.792969f, 0.829102f, 0.857422f, 0.880371f, 0.897949f, 0.913086f, 0.924805f, 0.934570f, 0.942383f, 0.949219f, 0.955566f, 0.960938f, - 0.964844f, 0.968750f, 0.971191f, 0.974121f, 0.977051f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.985840f, 0.987305f, 0.989258f, - 0.989746f, 0.991211f, 0.991211f, 0.992676f, 0.993164f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, - 0.000243f, 0.001173f, 0.001889f, 0.002661f, 0.003933f, 0.005131f, 0.006496f, 0.008324f, 0.010574f, 0.013115f, 0.015839f, 0.019913f, - 0.024445f, 0.030609f, 0.037781f, 0.047333f, 0.059906f, 0.075928f, 0.097229f, 0.124939f, 0.161743f, 0.209595f, 0.271240f, 0.343994f, - 0.426758f, 0.511719f, 0.592773f, 0.666504f, 0.727051f, 0.776855f, 0.815918f, 0.847656f, 0.871582f, 0.892090f, 0.907715f, 0.920898f, - 0.931152f, 0.940918f, 0.947754f, 0.953613f, 0.958496f, 0.963867f, 0.967773f, 0.970703f, 0.974121f, 0.976074f, 0.979004f, 0.980469f, - 0.982910f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.990234f, 0.990234f, 0.992188f, 0.992188f, 0.993164f, 0.997070f, 0.997559f, - 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.000351f, 0.000842f, 0.001560f, 0.002363f, 0.003258f, 0.004131f, 0.005272f, 0.007179f, - 0.008682f, 0.010643f, 0.013016f, 0.016037f, 0.019516f, 0.024078f, 0.029602f, 0.036591f, 0.045044f, 0.056641f, 0.071350f, 0.090576f, - 0.116211f, 0.149414f, 0.193237f, 0.248779f, 0.317871f, 0.396973f, 0.481201f, 0.564453f, 0.640137f, 0.705566f, 0.759766f, 0.802734f, - 0.836914f, 0.863281f, 0.885742f, 0.902832f, 0.916992f, 0.927734f, 0.937012f, 0.945801f, 0.952637f, 0.958008f, 0.961914f, 0.966309f, - 0.970703f, 0.974121f, 0.976074f, 0.978516f, 0.980957f, 0.982910f, 0.984863f, 0.985840f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, - 0.991211f, 0.992676f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.000000f, 0.000886f, 0.001405f, 0.001915f, - 0.002651f, 0.003870f, 0.004845f, 0.006035f, 0.006912f, 0.008812f, 0.010887f, 0.013229f, 0.016022f, 0.019196f, 0.023590f, 0.028992f, - 0.035248f, 0.043304f, 0.053711f, 0.066956f, 0.085083f, 0.107727f, 0.138428f, 0.178589f, 0.229980f, 0.293945f, 0.370117f, 0.453369f, - 0.537109f, 0.616699f, 0.685059f, 0.743164f, 0.790039f, 0.826660f, 0.856445f, 0.878906f, 0.897949f, 0.913574f, 0.925293f, 0.935547f, - 0.943848f, 0.951172f, 0.957031f, 0.961914f, 0.966797f, 0.970215f, 0.973145f, 0.976562f, 0.979004f, 0.980469f, 0.982910f, 0.984375f, - 0.985840f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, - 0.000104f, 0.000719f, 0.001065f, 0.001970f, 0.002544f, 0.003149f, 0.004230f, 0.005138f, 0.006119f, 0.007580f, 0.009201f, 0.010902f, - 0.013260f, 0.015526f, 0.019272f, 0.022858f, 0.027512f, 0.033569f, 0.041199f, 0.050873f, 0.063782f, 0.079895f, 0.101135f, 0.128906f, - 0.165771f, 0.213745f, 0.273193f, 0.345703f, 0.427002f, 0.511719f, 0.592773f, 0.666016f, 0.727051f, 0.776367f, 0.817871f, 0.848633f, - 0.875000f, 0.894531f, 0.909668f, 0.922852f, 0.934082f, 0.942383f, 0.949707f, 0.956055f, 0.961914f, 0.966309f, 0.970215f, 0.973145f, - 0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984375f, 0.986328f, 0.987305f, 0.988281f, 0.989746f, 0.991211f, 0.996582f, 0.997070f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000240f, 0.000686f, 0.001052f, 0.001375f, 0.002308f, 0.002735f, 0.003510f, 0.004269f, - 0.005173f, 0.006649f, 0.007442f, 0.009109f, 0.011246f, 0.012886f, 0.015732f, 0.018829f, 0.022354f, 0.026672f, 0.032867f, 0.039764f, - 0.048492f, 0.060455f, 0.075806f, 0.095276f, 0.121033f, 0.155273f, 0.199097f, 0.255859f, 0.324463f, 0.404053f, 0.488525f, 0.571289f, - 0.646484f, 0.711426f, 0.765625f, 0.808105f, 0.841797f, 0.869141f, 0.890137f, 0.907227f, 0.920898f, 0.931641f, 0.940918f, 0.948730f, - 0.955078f, 0.960449f, 0.965820f, 0.969727f, 0.972656f, 0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984863f, 0.986328f, 0.987793f, - 0.989746f, 0.990723f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.000244f, 0.000597f, 0.000939f, 0.001369f, - 0.001999f, 0.002329f, 0.003105f, 0.003786f, 0.004395f, 0.005413f, 0.006474f, 0.007793f, 0.009254f, 0.010971f, 0.012970f, 0.015526f, - 0.018112f, 0.022049f, 0.026581f, 0.031586f, 0.038666f, 0.046967f, 0.057617f, 0.071777f, 0.089783f, 0.113953f, 0.145264f, 0.186646f, - 0.239990f, 0.305908f, 0.383301f, 0.467285f, 0.551270f, 0.629883f, 0.697266f, 0.754883f, 0.799805f, 0.835938f, 0.864258f, 0.886719f, - 0.905273f, 0.918945f, 0.931152f, 0.940918f, 0.948242f, 0.955078f, 0.961426f, 0.965332f, 0.969727f, 0.973633f, 0.976074f, 0.979004f, - 0.980957f, 0.983398f, 0.984863f, 0.987305f, 0.988281f, 0.989258f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, - 0.000000f, 0.000475f, 0.000891f, 0.001390f, 0.001730f, 0.002060f, 0.002501f, 0.003109f, 0.003836f, 0.004837f, 0.005852f, 0.006859f, - 0.007740f, 0.009216f, 0.010918f, 0.012863f, 0.014915f, 0.017731f, 0.021317f, 0.025482f, 0.030930f, 0.037262f, 0.044891f, 0.055115f, - 0.068298f, 0.085510f, 0.107910f, 0.137207f, 0.176025f, 0.226929f, 0.289551f, 0.364746f, 0.447998f, 0.532715f, 0.613770f, 0.685547f, - 0.744629f, 0.791992f, 0.830078f, 0.860352f, 0.884277f, 0.903320f, 0.917969f, 0.930176f, 0.939941f, 0.947754f, 0.954590f, 0.961426f, - 0.966309f, 0.970215f, 0.973145f, 0.976562f, 0.979492f, 0.981445f, 0.983398f, 0.985352f, 0.987793f, 0.988281f, 0.995605f, 0.996094f, - 0.996094f, 0.996582f, 0.996094f, 0.996094f, 0.000102f, 0.000243f, 0.000844f, 0.001124f, 0.001554f, 0.002077f, 0.002098f, 0.002682f, - 0.003357f, 0.004280f, 0.005035f, 0.005764f, 0.006805f, 0.007633f, 0.009354f, 0.010872f, 0.012665f, 0.015099f, 0.017258f, 0.020599f, - 0.024887f, 0.029495f, 0.035522f, 0.042999f, 0.053070f, 0.065125f, 0.081299f, 0.102661f, 0.130371f, 0.166992f, 0.215088f, 0.275635f, - 0.348877f, 0.431641f, 0.517578f, 0.600098f, 0.672852f, 0.735352f, 0.785645f, 0.826172f, 0.856934f, 0.881836f, 0.900879f, 0.916992f, - 0.930176f, 0.940430f, 0.947754f, 0.955078f, 0.960938f, 0.966309f, 0.969238f, 0.973633f, 0.977051f, 0.979492f, 0.981934f, 0.983887f, - 0.986328f, 0.987793f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000241f, 0.000242f, 0.000823f, 0.000956f, - 0.001225f, 0.001549f, 0.002031f, 0.002613f, 0.003124f, 0.003574f, 0.004467f, 0.004955f, 0.005672f, 0.006752f, 0.007603f, 0.009186f, - 0.010704f, 0.012741f, 0.014366f, 0.017487f, 0.020142f, 0.024002f, 0.028915f, 0.034943f, 0.041656f, 0.050964f, 0.062622f, 0.077881f, - 0.097961f, 0.124207f, 0.158936f, 0.204590f, 0.263184f, 0.334961f, 0.416748f, 0.502930f, 0.587891f, 0.664062f, 0.728516f, 0.780762f, - 0.822266f, 0.854492f, 0.879395f, 0.900879f, 0.916504f, 0.928711f, 0.940430f, 0.948730f, 0.955566f, 0.961914f, 0.967285f, 0.970215f, - 0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.986816f, 0.994629f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, - 0.000000f, 0.000473f, 0.000607f, 0.000921f, 0.000957f, 0.001448f, 0.001884f, 0.002270f, 0.002703f, 0.002998f, 0.003862f, 0.004307f, - 0.005074f, 0.005665f, 0.006737f, 0.007851f, 0.009216f, 0.010735f, 0.012459f, 0.014572f, 0.016998f, 0.019821f, 0.023605f, 0.027969f, - 0.033783f, 0.040192f, 0.049286f, 0.060303f, 0.074829f, 0.093750f, 0.118774f, 0.152222f, 0.195801f, 0.252441f, 0.322754f, 0.404053f, - 0.491943f, 0.577637f, 0.655273f, 0.722168f, 0.776367f, 0.820312f, 0.854004f, 0.878906f, 0.900879f, 0.916992f, 0.929688f, 0.940430f, - 0.949707f, 0.956055f, 0.962402f, 0.967285f, 0.971191f, 0.975586f, 0.978516f, 0.980957f, 0.983398f, 0.985352f, 0.994141f, 0.995117f, - 0.995117f, 0.995605f, 0.995117f, 0.995605f, 0.000000f, 0.000444f, 0.000605f, 0.000649f, 0.000926f, 0.001096f, 0.001624f, 0.001669f, - 0.002373f, 0.002716f, 0.003231f, 0.003769f, 0.004395f, 0.005005f, 0.005878f, 0.006710f, 0.007793f, 0.008957f, 0.010712f, 0.012230f, - 0.014244f, 0.016693f, 0.019531f, 0.022827f, 0.027100f, 0.032318f, 0.038971f, 0.047302f, 0.058105f, 0.072021f, 0.089966f, 0.114319f, - 0.146362f, 0.188965f, 0.244019f, 0.312988f, 0.394287f, 0.482178f, 0.569824f, 0.650391f, 0.718262f, 0.774414f, 0.819336f, 0.853027f, - 0.880371f, 0.900879f, 0.917969f, 0.930664f, 0.940918f, 0.950684f, 0.957031f, 0.962891f, 0.968262f, 0.972656f, 0.976562f, 0.979004f, - 0.981934f, 0.984375f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, 0.000000f, 0.000336f, 0.000601f, 0.000712f, - 0.000810f, 0.001174f, 0.001286f, 0.001618f, 0.002037f, 0.002592f, 0.002920f, 0.003223f, 0.003847f, 0.004463f, 0.005119f, 0.006020f, - 0.006783f, 0.007957f, 0.008888f, 0.010590f, 0.012230f, 0.013885f, 0.016220f, 0.019318f, 0.022278f, 0.026474f, 0.031403f, 0.037781f, - 0.046021f, 0.055969f, 0.069397f, 0.086975f, 0.110413f, 0.140991f, 0.182739f, 0.236694f, 0.304932f, 0.385986f, 0.475586f, 0.563965f, - 0.646484f, 0.716797f, 0.772461f, 0.818359f, 0.853027f, 0.880859f, 0.901855f, 0.918945f, 0.932129f, 0.942383f, 0.951172f, 0.958496f, - 0.964355f, 0.969238f, 0.973633f, 0.977051f, 0.979980f, 0.982910f, 0.993652f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f, - 0.000000f, 0.000244f, 0.000418f, 0.000597f, 0.000600f, 0.001085f, 0.001236f, 0.001535f, 0.001970f, 0.002096f, 0.002354f, 0.002834f, - 0.003323f, 0.003822f, 0.004463f, 0.005146f, 0.005798f, 0.006859f, 0.007587f, 0.008827f, 0.009956f, 0.011833f, 0.013725f, 0.015945f, - 0.018585f, 0.021988f, 0.025665f, 0.030807f, 0.036774f, 0.044373f, 0.054108f, 0.067383f, 0.084229f, 0.106812f, 0.137207f, 0.177734f, - 0.230835f, 0.299072f, 0.380127f, 0.470215f, 0.560547f, 0.644531f, 0.715820f, 0.774414f, 0.820312f, 0.854980f, 0.882324f, 0.903809f, - 0.921387f, 0.933594f, 0.944824f, 0.952637f, 0.960449f, 0.965820f, 0.971191f, 0.974609f, 0.978027f, 0.981934f, 0.993164f, 0.994629f, - 0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.000000f, 0.000244f, 0.000411f, 0.000589f, 0.000820f, 0.000729f, 0.001086f, 0.001301f, - 0.001677f, 0.001935f, 0.002312f, 0.002678f, 0.002846f, 0.003590f, 0.003914f, 0.004578f, 0.005020f, 0.005753f, 0.006706f, 0.007710f, - 0.008911f, 0.010155f, 0.011528f, 0.013504f, 0.015747f, 0.018036f, 0.021408f, 0.024994f, 0.029816f, 0.035858f, 0.043152f, 0.053009f, - 0.065491f, 0.082031f, 0.104065f, 0.133789f, 0.174072f, 0.226929f, 0.294434f, 0.376465f, 0.467773f, 0.560059f, 0.644531f, 0.717285f, - 0.777344f, 0.823242f, 0.857910f, 0.885742f, 0.906738f, 0.922852f, 0.936523f, 0.947266f, 0.955078f, 0.961426f, 0.967285f, 0.972656f, - 0.976562f, 0.979980f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.000000f, 0.000243f, 0.000243f, 0.000442f, - 0.000695f, 0.000759f, 0.000837f, 0.001089f, 0.001625f, 0.001702f, 0.002045f, 0.002176f, 0.002756f, 0.003063f, 0.003687f, 0.003893f, - 0.004456f, 0.005337f, 0.006062f, 0.006523f, 0.007572f, 0.008430f, 0.009880f, 0.011612f, 0.013237f, 0.015114f, 0.017487f, 0.020584f, - 0.024445f, 0.028931f, 0.034729f, 0.042023f, 0.051788f, 0.063843f, 0.079956f, 0.102295f, 0.131592f, 0.171021f, 0.223877f, 0.292236f, - 0.375000f, 0.468018f, 0.562012f, 0.648438f, 0.721191f, 0.781250f, 0.826660f, 0.862305f, 0.888672f, 0.909668f, 0.926270f, 0.938965f, - 0.949707f, 0.957520f, 0.964355f, 0.969727f, 0.974121f, 0.978027f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, 0.993164f, 0.993164f, - 0.000000f, 0.000242f, 0.000242f, 0.000242f, 0.000564f, 0.000692f, 0.000826f, 0.001094f, 0.001280f, 0.001457f, 0.001673f, 0.002232f, - 0.002411f, 0.002789f, 0.003174f, 0.003649f, 0.003859f, 0.004349f, 0.004990f, 0.005898f, 0.006622f, 0.007496f, 0.008209f, 0.009583f, - 0.011284f, 0.013062f, 0.014763f, 0.017120f, 0.020020f, 0.023804f, 0.028412f, 0.033905f, 0.041016f, 0.050140f, 0.062469f, 0.078552f, - 0.100159f, 0.129272f, 0.169067f, 0.222290f, 0.291504f, 0.376465f, 0.470703f, 0.566406f, 0.653320f, 0.728027f, 0.786621f, 0.832031f, - 0.866699f, 0.893555f, 0.914062f, 0.929688f, 0.942383f, 0.952148f, 0.959961f, 0.966797f, 0.972168f, 0.976074f, 0.991211f, 0.992188f, - 0.992676f, 0.992188f, 0.992676f, 0.992676f, 0.000241f, 0.000241f, 0.000240f, 0.000242f, 0.000486f, 0.000637f, 0.000916f, 0.000933f, - 0.001003f, 0.001284f, 0.001584f, 0.001925f, 0.002134f, 0.002502f, 0.002731f, 0.003134f, 0.003435f, 0.004036f, 0.004379f, 0.005077f, - 0.005688f, 0.006557f, 0.007347f, 0.007942f, 0.009506f, 0.010712f, 0.012527f, 0.014603f, 0.016693f, 0.019592f, 0.023285f, 0.027512f, - 0.033173f, 0.040283f, 0.049347f, 0.061432f, 0.077271f, 0.098938f, 0.128052f, 0.168091f, 0.222168f, 0.292725f, 0.379150f, 0.476807f, - 0.573730f, 0.662598f, 0.735840f, 0.794434f, 0.839844f, 0.873535f, 0.898926f, 0.918945f, 0.934082f, 0.945312f, 0.955566f, 0.962402f, - 0.969238f, 0.974609f, 0.990723f, 0.991699f, 0.992188f, 0.992188f, 0.992188f, 0.992188f, 0.000000f, 0.000238f, 0.000240f, 0.000362f, - 0.000362f, 0.000521f, 0.000631f, 0.000909f, 0.000937f, 0.001249f, 0.001373f, 0.001693f, 0.001746f, 0.002184f, 0.002436f, 0.002680f, - 0.003094f, 0.003576f, 0.003828f, 0.004463f, 0.004990f, 0.005589f, 0.006439f, 0.006943f, 0.008217f, 0.009384f, 0.010719f, 0.012184f, - 0.014130f, 0.016373f, 0.019241f, 0.022675f, 0.027161f, 0.032379f, 0.039307f, 0.048645f, 0.060455f, 0.076416f, 0.097778f, 0.127441f, - 0.168213f, 0.223633f, 0.296387f, 0.385986f, 0.485107f, 0.583984f, 0.673340f, 0.746582f, 0.804199f, 0.848633f, 0.880371f, 0.905273f, - 0.923828f, 0.938477f, 0.949707f, 0.958984f, 0.965820f, 0.972656f, 0.990234f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, - 0.000000f, 0.000234f, 0.000238f, 0.000236f, 0.000360f, 0.000482f, 0.000614f, 0.000786f, 0.000900f, 0.001056f, 0.001336f, 0.001466f, - 0.001671f, 0.001907f, 0.002333f, 0.002546f, 0.002871f, 0.003067f, 0.003500f, 0.003813f, 0.004425f, 0.004574f, 0.005459f, 0.006092f, - 0.006660f, 0.007660f, 0.008987f, 0.010071f, 0.011841f, 0.013847f, 0.016022f, 0.018829f, 0.022339f, 0.026779f, 0.031677f, 0.038910f, - 0.047913f, 0.059601f, 0.075684f, 0.097290f, 0.127319f, 0.169189f, 0.226807f, 0.302490f, 0.394775f, 0.497314f, 0.598633f, 0.686523f, - 0.759766f, 0.814941f, 0.857422f, 0.888672f, 0.912109f, 0.930176f, 0.943359f, 0.954102f, 0.962402f, 0.968750f, 0.988770f, 0.990234f, - 0.990234f, 0.990234f, 0.991211f, 0.990723f, 0.000000f, 0.000036f, 0.000166f, 0.000357f, 0.000356f, 0.000478f, 0.000566f, 0.000638f, - 0.000893f, 0.001146f, 0.001242f, 0.001330f, 0.001502f, 0.001773f, 0.001918f, 0.002024f, 0.002501f, 0.002604f, 0.003067f, 0.003334f, - 0.003708f, 0.004044f, 0.004646f, 0.005268f, 0.006241f, 0.006931f, 0.007774f, 0.008911f, 0.010277f, 0.011475f, 0.013542f, 0.015732f, - 0.018417f, 0.022049f, 0.026154f, 0.031189f, 0.038269f, 0.047119f, 0.059265f, 0.075256f, 0.097534f, 0.128906f, 0.172119f, 0.231934f, - 0.311035f, 0.407715f, 0.513184f, 0.615723f, 0.703613f, 0.773926f, 0.827637f, 0.867188f, 0.897461f, 0.919434f, 0.936035f, 0.948730f, - 0.958984f, 0.966309f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, 0.000000f, 0.000028f, 0.000093f, 0.000334f, - 0.000465f, 0.000472f, 0.000373f, 0.000685f, 0.000695f, 0.001027f, 0.001128f, 0.001155f, 0.001419f, 0.001435f, 0.001760f, 0.001850f, - 0.002241f, 0.002373f, 0.002604f, 0.002821f, 0.003334f, 0.003666f, 0.004139f, 0.004627f, 0.005207f, 0.005886f, 0.006596f, 0.007580f, - 0.008705f, 0.009911f, 0.011520f, 0.013237f, 0.015427f, 0.017944f, 0.021423f, 0.025497f, 0.030945f, 0.037537f, 0.046692f, 0.058624f, - 0.075317f, 0.098267f, 0.130493f, 0.176025f, 0.239136f, 0.323242f, 0.424561f, 0.533691f, 0.636230f, 0.723145f, 0.790039f, 0.841797f, - 0.880371f, 0.906738f, 0.926758f, 0.941406f, 0.953613f, 0.963379f, 0.987793f, 0.988770f, 0.988770f, 0.989258f, 0.989258f, 0.989258f, - 0.000000f, 0.000000f, 0.000047f, 0.000321f, 0.000332f, 0.000351f, 0.000470f, 0.000596f, 0.000655f, 0.000727f, 0.001008f, 0.001112f, - 0.001350f, 0.001379f, 0.001380f, 0.001751f, 0.002008f, 0.002151f, 0.002327f, 0.002548f, 0.002691f, 0.003056f, 0.003475f, 0.003925f, - 0.004749f, 0.005161f, 0.005863f, 0.006538f, 0.007153f, 0.008453f, 0.009789f, 0.010986f, 0.013168f, 0.015121f, 0.017563f, 0.020966f, - 0.025009f, 0.030151f, 0.037048f, 0.046570f, 0.058624f, 0.075623f, 0.099243f, 0.133667f, 0.181641f, 0.249756f, 0.338623f, 0.445312f, - 0.556641f, 0.659180f, 0.744141f, 0.808594f, 0.855957f, 0.890137f, 0.916992f, 0.934570f, 0.949219f, 0.959473f, 0.986816f, 0.987793f, - 0.987793f, 0.987793f, 0.987793f, 0.988281f, 0.000000f, 0.000000f, 0.000000f, 0.000244f, 0.000429f, 0.000440f, 0.000348f, 0.000592f, - 0.000606f, 0.000755f, 0.000690f, 0.000935f, 0.001172f, 0.001257f, 0.001368f, 0.001458f, 0.001786f, 0.001809f, 0.002060f, 0.002274f, - 0.002478f, 0.002642f, 0.002987f, 0.003435f, 0.003866f, 0.004337f, 0.005066f, 0.005409f, 0.006355f, 0.007111f, 0.008011f, 0.009392f, - 0.011032f, 0.012321f, 0.014717f, 0.017319f, 0.020432f, 0.024551f, 0.029953f, 0.036835f, 0.045929f, 0.058716f, 0.076416f, 0.101562f, - 0.137695f, 0.189453f, 0.262451f, 0.358154f, 0.470215f, 0.584961f, 0.686523f, 0.767578f, 0.828125f, 0.871582f, 0.903809f, 0.926270f, - 0.941895f, 0.956055f, 0.985352f, 0.986328f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, - 0.000237f, 0.000314f, 0.000570f, 0.000575f, 0.000583f, 0.000632f, 0.000651f, 0.000789f, 0.000947f, 0.001097f, 0.001300f, 0.001320f, - 0.001384f, 0.001443f, 0.001641f, 0.001869f, 0.002047f, 0.002396f, 0.002634f, 0.003025f, 0.003412f, 0.003757f, 0.004238f, 0.004620f, - 0.005463f, 0.006168f, 0.007072f, 0.008080f, 0.009155f, 0.010590f, 0.012306f, 0.014175f, 0.016769f, 0.020081f, 0.023972f, 0.029495f, - 0.036560f, 0.045959f, 0.059265f, 0.078125f, 0.104797f, 0.143677f, 0.199951f, 0.279785f, 0.382812f, 0.500977f, 0.616699f, 0.716309f, - 0.791992f, 0.847168f, 0.887207f, 0.915527f, 0.936523f, 0.950684f, 0.984375f, 0.985352f, 0.986328f, 0.985840f, 0.986328f, 0.985840f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000205f, 0.000239f, 0.000299f, 0.000537f, 0.000574f, 0.000696f, 0.000583f, 0.000740f, - 0.000778f, 0.000867f, 0.001013f, 0.001257f, 0.001325f, 0.001277f, 0.001416f, 0.001718f, 0.001965f, 0.002079f, 0.002356f, 0.002577f, - 0.002771f, 0.003305f, 0.003693f, 0.004028f, 0.004593f, 0.005234f, 0.005905f, 0.006802f, 0.007698f, 0.008553f, 0.009995f, 0.011635f, - 0.013824f, 0.016174f, 0.019547f, 0.023544f, 0.029114f, 0.036377f, 0.046417f, 0.060211f, 0.080017f, 0.108643f, 0.151611f, 0.213379f, - 0.301758f, 0.414062f, 0.537598f, 0.653320f, 0.748047f, 0.817871f, 0.868164f, 0.903320f, 0.928711f, 0.945801f, 0.982910f, 0.983887f, - 0.984375f, 0.984375f, 0.984863f, 0.984375f, 0.000000f, 0.000000f, 0.000045f, 0.000105f, 0.000114f, 0.000340f, 0.000371f, 0.000501f, - 0.000639f, 0.000554f, 0.000687f, 0.000675f, 0.000711f, 0.000738f, 0.000824f, 0.001092f, 0.001040f, 0.001185f, 0.001212f, 0.001408f, - 0.001624f, 0.001813f, 0.001982f, 0.002182f, 0.002634f, 0.002748f, 0.003252f, 0.003540f, 0.004089f, 0.004505f, 0.005001f, 0.005657f, - 0.006500f, 0.007195f, 0.008286f, 0.009750f, 0.011208f, 0.013420f, 0.015762f, 0.019226f, 0.023209f, 0.029144f, 0.036591f, 0.047150f, - 0.061615f, 0.082947f, 0.114014f, 0.161621f, 0.231323f, 0.329834f, 0.451416f, 0.579590f, 0.692871f, 0.780273f, 0.844238f, 0.888184f, - 0.917969f, 0.939453f, 0.981445f, 0.982422f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000208f, 0.000311f, 0.000238f, 0.000337f, 0.000524f, 0.000617f, 0.000533f, 0.000675f, 0.000665f, 0.000776f, 0.000840f, 0.000819f, - 0.000902f, 0.001169f, 0.001130f, 0.001178f, 0.001382f, 0.001571f, 0.001941f, 0.001932f, 0.002138f, 0.002306f, 0.002586f, 0.002937f, - 0.003468f, 0.003740f, 0.004292f, 0.004704f, 0.005444f, 0.006081f, 0.007019f, 0.008255f, 0.009521f, 0.010796f, 0.012840f, 0.015503f, - 0.018784f, 0.023178f, 0.029129f, 0.036774f, 0.047699f, 0.063416f, 0.086548f, 0.121399f, 0.175293f, 0.254883f, 0.365234f, 0.496582f, - 0.626953f, 0.733398f, 0.813477f, 0.869629f, 0.906738f, 0.933105f, 0.979980f, 0.980957f, 0.981445f, 0.981445f, 0.980957f, 0.981445f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000208f, 0.000312f, 0.000236f, 0.000343f, 0.000475f, 0.000496f, 0.000528f, - 0.000659f, 0.000582f, 0.000685f, 0.000710f, 0.000761f, 0.000784f, 0.000941f, 0.001013f, 0.001117f, 0.001339f, 0.001500f, 0.001623f, - 0.001769f, 0.002039f, 0.002298f, 0.002565f, 0.002802f, 0.003119f, 0.003471f, 0.003857f, 0.004658f, 0.005177f, 0.005836f, 0.006752f, - 0.007324f, 0.008911f, 0.010422f, 0.012527f, 0.015373f, 0.018585f, 0.022964f, 0.029037f, 0.037231f, 0.049072f, 0.066345f, 0.091492f, - 0.131470f, 0.193359f, 0.285645f, 0.409912f, 0.548828f, 0.676758f, 0.776367f, 0.845703f, 0.893066f, 0.924805f, 0.978027f, 0.979492f, - 0.979492f, 0.979004f, 0.979492f, 0.979492f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000166f, 0.000228f, 0.000227f, - 0.000369f, 0.000337f, 0.000368f, 0.000452f, 0.000500f, 0.000547f, 0.000543f, 0.000575f, 0.000623f, 0.000723f, 0.000783f, 0.000874f, - 0.001141f, 0.001226f, 0.001279f, 0.001336f, 0.001499f, 0.001655f, 0.001922f, 0.002090f, 0.002453f, 0.002298f, 0.003139f, 0.003181f, - 0.003674f, 0.004166f, 0.004814f, 0.005447f, 0.006348f, 0.007179f, 0.008736f, 0.010406f, 0.012321f, 0.014984f, 0.018219f, 0.022934f, - 0.028824f, 0.037598f, 0.050476f, 0.069397f, 0.098694f, 0.144775f, 0.218018f, 0.325439f, 0.464111f, 0.607910f, 0.729492f, 0.817383f, - 0.876953f, 0.915527f, 0.976562f, 0.977539f, 0.977539f, 0.977051f, 0.977051f, 0.977539f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, - 0.000122f, 0.000122f, 0.000154f, 0.000200f, 0.000267f, 0.000316f, 0.000324f, 0.000449f, 0.000319f, 0.000379f, 0.000515f, 0.000519f, - 0.000558f, 0.000628f, 0.000645f, 0.000690f, 0.000777f, 0.000940f, 0.001096f, 0.001204f, 0.001278f, 0.001485f, 0.001670f, 0.001929f, - 0.001961f, 0.002016f, 0.002367f, 0.002785f, 0.003025f, 0.003248f, 0.003805f, 0.004539f, 0.004845f, 0.005733f, 0.006851f, 0.008278f, - 0.010017f, 0.011841f, 0.014542f, 0.017807f, 0.022705f, 0.029190f, 0.038544f, 0.052612f, 0.073853f, 0.108093f, 0.162842f, 0.250977f, - 0.377930f, 0.529785f, 0.672363f, 0.782715f, 0.855957f, 0.904297f, 0.973145f, 0.974121f, 0.974609f, 0.975586f, 0.974609f, 0.975098f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000158f, 0.000121f, 0.000190f, 0.000238f, 0.000397f, 0.000354f, - 0.000364f, 0.000365f, 0.000440f, 0.000474f, 0.000509f, 0.000612f, 0.000611f, 0.000648f, 0.000804f, 0.000755f, 0.000943f, 0.001050f, - 0.001221f, 0.001340f, 0.001338f, 0.001443f, 0.001635f, 0.001822f, 0.002083f, 0.002226f, 0.002480f, 0.002682f, 0.003185f, 0.003609f, - 0.003948f, 0.005074f, 0.005558f, 0.006741f, 0.007904f, 0.009384f, 0.011360f, 0.014000f, 0.017883f, 0.022675f, 0.029648f, 0.039917f, - 0.055695f, 0.080261f, 0.120728f, 0.188354f, 0.296143f, 0.443848f, 0.603027f, 0.737793f, 0.831055f, 0.891113f, 0.970703f, 0.971680f, - 0.972168f, 0.972656f, 0.971680f, 0.972168f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, - 0.000121f, 0.000251f, 0.000260f, 0.000278f, 0.000315f, 0.000334f, 0.000235f, 0.000357f, 0.000442f, 0.000513f, 0.000504f, 0.000598f, - 0.000556f, 0.000771f, 0.000831f, 0.000886f, 0.000977f, 0.001145f, 0.001105f, 0.001244f, 0.001281f, 0.001431f, 0.001544f, 0.001850f, - 0.001986f, 0.002131f, 0.002537f, 0.002737f, 0.003252f, 0.003826f, 0.004555f, 0.005184f, 0.006199f, 0.007195f, 0.009041f, 0.011337f, - 0.013878f, 0.017395f, 0.022552f, 0.030502f, 0.041962f, 0.059875f, 0.089111f, 0.139404f, 0.224609f, 0.357910f, 0.524902f, 0.684082f, - 0.800781f, 0.875977f, 0.967773f, 0.968750f, 0.968262f, 0.968750f, 0.969238f, 0.969238f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, - 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000095f, 0.000081f, 0.000217f, 0.000149f, 0.000204f, 0.000212f, 0.000338f, - 0.000345f, 0.000348f, 0.000456f, 0.000463f, 0.000495f, 0.000570f, 0.000583f, 0.000748f, 0.000799f, 0.000731f, 0.000965f, 0.001041f, - 0.001071f, 0.001210f, 0.001318f, 0.001238f, 0.001410f, 0.001631f, 0.001932f, 0.002327f, 0.002577f, 0.003057f, 0.003452f, 0.003956f, - 0.004639f, 0.005714f, 0.006817f, 0.008446f, 0.010605f, 0.013443f, 0.017319f, 0.022964f, 0.031021f, 0.044281f, 0.065857f, 0.102112f, - 0.166504f, 0.277344f, 0.439941f, 0.617188f, 0.762207f, 0.856445f, 0.963379f, 0.964355f, 0.965332f, 0.964844f, 0.965332f, 0.965332f, - 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000107f, 0.000091f, 0.000161f, - 0.000119f, 0.000184f, 0.000266f, 0.000284f, 0.000314f, 0.000319f, 0.000334f, 0.000344f, 0.000565f, 0.000455f, 0.000488f, 0.000667f, - 0.000710f, 0.000713f, 0.000787f, 0.000755f, 0.000849f, 0.000972f, 0.001097f, 0.001286f, 0.001427f, 0.001556f, 0.001667f, 0.001687f, - 0.002155f, 0.002369f, 0.002674f, 0.003086f, 0.003710f, 0.004536f, 0.005585f, 0.006783f, 0.007957f, 0.010262f, 0.013115f, 0.017212f, - 0.023102f, 0.032715f, 0.047943f, 0.074158f, 0.121155f, 0.207520f, 0.353027f, 0.541504f, 0.715332f, 0.834473f, 0.959473f, 0.960449f, - 0.960938f, 0.960938f, 0.960938f, 0.961426f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, - 0.000120f, 0.000120f, 0.000103f, 0.000089f, 0.000077f, 0.000080f, 0.000121f, 0.000218f, 0.000209f, 0.000245f, 0.000303f, 0.000316f, - 0.000388f, 0.000341f, 0.000549f, 0.000594f, 0.000604f, 0.000679f, 0.000625f, 0.000628f, 0.000795f, 0.000883f, 0.000857f, 0.000991f, - 0.001166f, 0.000955f, 0.001194f, 0.001347f, 0.001548f, 0.001804f, 0.002048f, 0.002388f, 0.002911f, 0.003130f, 0.003933f, 0.004845f, - 0.006031f, 0.007385f, 0.009705f, 0.012688f, 0.017044f, 0.023788f, 0.034882f, 0.053284f, 0.086670f, 0.151123f, 0.271484f, 0.457031f, - 0.658203f, 0.805176f, 0.954102f, 0.955078f, 0.956055f, 0.956055f, 0.956055f, 0.955566f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, - 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000116f, 0.000101f, 0.000088f, 0.000077f, 0.000131f, 0.000071f, - 0.000146f, 0.000200f, 0.000237f, 0.000270f, 0.000289f, 0.000302f, 0.000311f, 0.000441f, 0.000396f, 0.000588f, 0.000630f, 0.000570f, - 0.000575f, 0.000537f, 0.000589f, 0.000750f, 0.000721f, 0.001048f, 0.001122f, 0.000951f, 0.001243f, 0.001346f, 0.001703f, 0.001592f, - 0.001880f, 0.002340f, 0.002804f, 0.003637f, 0.004356f, 0.005329f, 0.006805f, 0.009094f, 0.012566f, 0.017181f, 0.025040f, 0.038147f, - 0.061249f, 0.107788f, 0.200195f, 0.369629f, 0.587891f, 0.771973f, 0.948242f, 0.949707f, 0.950195f, 0.949707f, 0.950195f, 0.950195f, - 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000114f, - 0.000101f, 0.000088f, 0.000079f, 0.000070f, 0.000063f, 0.000136f, 0.000136f, 0.000183f, 0.000207f, 0.000277f, 0.000271f, 0.000291f, - 0.000369f, 0.000344f, 0.000494f, 0.000459f, 0.000515f, 0.000509f, 0.000532f, 0.000504f, 0.000716f, 0.000589f, 0.000691f, 0.000902f, - 0.000972f, 0.000968f, 0.001067f, 0.001483f, 0.001780f, 0.001652f, 0.002090f, 0.002602f, 0.003113f, 0.003738f, 0.004738f, 0.006420f, - 0.008522f, 0.012100f, 0.017334f, 0.026489f, 0.042786f, 0.074524f, 0.142578f, 0.283936f, 0.509277f, 0.729492f, 0.940918f, 0.941895f, - 0.942383f, 0.942383f, 0.942383f, 0.942871f, 0.000122f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, - 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000116f, 0.000102f, 0.000090f, 0.000081f, 0.000091f, 0.000066f, 0.000059f, 0.000110f, - 0.000109f, 0.000155f, 0.000184f, 0.000227f, 0.000297f, 0.000333f, 0.000355f, 0.000349f, 0.000344f, 0.000421f, 0.000459f, 0.000561f, - 0.000600f, 0.000563f, 0.000630f, 0.000563f, 0.000682f, 0.000737f, 0.000892f, 0.001037f, 0.001026f, 0.001163f, 0.001743f, 0.001782f, - 0.002117f, 0.002573f, 0.003389f, 0.004429f, 0.005871f, 0.007942f, 0.011841f, 0.018066f, 0.029190f, 0.050842f, 0.098511f, 0.207397f, - 0.422363f, 0.677734f, 0.932129f, 0.933594f, 0.933594f, 0.934082f, 0.934082f, 0.934082f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, - 0.000119f, 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000116f, 0.000104f, 0.000093f, - 0.000084f, 0.000076f, 0.000069f, 0.000091f, 0.000057f, 0.000051f, 0.000112f, 0.000120f, 0.000179f, 0.000232f, 0.000225f, 0.000283f, - 0.000301f, 0.000308f, 0.000353f, 0.000437f, 0.000395f, 0.000523f, 0.000486f, 0.000504f, 0.000469f, 0.000614f, 0.000581f, 0.000755f, - 0.000789f, 0.001121f, 0.000981f, 0.001218f, 0.001565f, 0.001795f, 0.002296f, 0.002958f, 0.003866f, 0.005329f, 0.007675f, 0.011658f, - 0.019043f, 0.033478f, 0.065430f, 0.144043f, 0.331299f, 0.613770f, 0.921387f, 0.922852f, 0.923340f, 0.923340f, 0.923340f, 0.923340f, - 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000115f, 0.000115f, - 0.000115f, 0.000115f, 0.000114f, 0.000108f, 0.000097f, 0.000087f, 0.000079f, 0.000072f, 0.000065f, 0.000060f, 0.000094f, 0.000050f, - 0.000104f, 0.000104f, 0.000121f, 0.000164f, 0.000195f, 0.000247f, 0.000265f, 0.000328f, 0.000290f, 0.000355f, 0.000395f, 0.000356f, - 0.000361f, 0.000459f, 0.000470f, 0.000515f, 0.000580f, 0.000624f, 0.000751f, 0.000964f, 0.001105f, 0.001279f, 0.001413f, 0.001823f, - 0.002441f, 0.003407f, 0.004852f, 0.007210f, 0.011803f, 0.021225f, 0.041473f, 0.095032f, 0.244019f, 0.537598f, 0.907715f, 0.910156f, - 0.910156f, 0.909180f, 0.909668f, 0.911133f, 0.000120f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000114f, 0.000114f, 0.000113f, - 0.000113f, 0.000112f, 0.000112f, 0.000112f, 0.000111f, 0.000112f, 0.000111f, 0.000111f, 0.000111f, 0.000101f, 0.000093f, 0.000084f, - 0.000077f, 0.000070f, 0.000064f, 0.000059f, 0.000074f, 0.000079f, 0.000059f, 0.000087f, 0.000097f, 0.000128f, 0.000185f, 0.000213f, - 0.000265f, 0.000235f, 0.000239f, 0.000288f, 0.000299f, 0.000371f, 0.000341f, 0.000369f, 0.000460f, 0.000446f, 0.000490f, 0.000602f, - 0.000694f, 0.000904f, 0.001012f, 0.001234f, 0.001544f, 0.002096f, 0.002989f, 0.004299f, 0.006840f, 0.012383f, 0.024948f, 0.059204f, - 0.166626f, 0.452637f, 0.892578f, 0.894043f, 0.894043f, 0.894531f, 0.894531f, 0.894043f, 0.000115f, 0.000107f, 0.000108f, 0.000111f, - 0.000108f, 0.000109f, 0.000108f, 0.000108f, 0.000108f, 0.000107f, 0.000108f, 0.000107f, 0.000107f, 0.000106f, 0.000107f, 0.000107f, - 0.000106f, 0.000107f, 0.000106f, 0.000097f, 0.000090f, 0.000082f, 0.000075f, 0.000069f, 0.000063f, 0.000058f, 0.000053f, 0.000070f, - 0.000073f, 0.000085f, 0.000077f, 0.000088f, 0.000136f, 0.000168f, 0.000190f, 0.000204f, 0.000199f, 0.000252f, 0.000233f, 0.000270f, - 0.000325f, 0.000295f, 0.000348f, 0.000383f, 0.000435f, 0.000534f, 0.000581f, 0.000803f, 0.001004f, 0.001330f, 0.001812f, 0.002489f, - 0.003944f, 0.006832f, 0.013748f, 0.033997f, 0.104858f, 0.356689f, 0.873047f, 0.873047f, 0.875000f, 0.874023f, 0.874023f, 0.874023f, - 0.000000f, 0.000071f, 0.000063f, 0.000094f, 0.000092f, 0.000094f, 0.000093f, 0.000098f, 0.000098f, 0.000098f, 0.000098f, 0.000099f, - 0.000098f, 0.000099f, 0.000099f, 0.000099f, 0.000099f, 0.000099f, 0.000099f, 0.000100f, 0.000100f, 0.000094f, 0.000087f, 0.000080f, - 0.000074f, 0.000068f, 0.000062f, 0.000058f, 0.000053f, 0.000049f, 0.000059f, 0.000059f, 0.000045f, 0.000078f, 0.000082f, 0.000118f, - 0.000155f, 0.000160f, 0.000174f, 0.000180f, 0.000226f, 0.000213f, 0.000248f, 0.000258f, 0.000288f, 0.000352f, 0.000396f, 0.000465f, - 0.000566f, 0.000789f, 0.000941f, 0.001343f, 0.002199f, 0.003616f, 0.006912f, 0.017380f, 0.058960f, 0.259521f, 0.847656f, 0.849121f, - 0.850586f, 0.850098f, 0.849121f, 0.850586f, 0.000000f, 0.000000f, 0.000019f, 0.000044f, 0.000048f, 0.000061f, 0.000071f, 0.000073f, - 0.000076f, 0.000079f, 0.000079f, 0.000082f, 0.000082f, 0.000082f, 0.000085f, 0.000086f, 0.000087f, 0.000086f, 0.000088f, 0.000087f, - 0.000089f, 0.000089f, 0.000089f, 0.000090f, 0.000084f, 0.000078f, 0.000072f, 0.000067f, 0.000062f, 0.000057f, 0.000052f, 0.000049f, - 0.000045f, 0.000041f, 0.000038f, 0.000040f, 0.000062f, 0.000092f, 0.000100f, 0.000121f, 0.000144f, 0.000133f, 0.000137f, 0.000170f, - 0.000181f, 0.000168f, 0.000215f, 0.000286f, 0.000327f, 0.000397f, 0.000504f, 0.000738f, 0.001039f, 0.001729f, 0.003317f, 0.007721f, - 0.028458f, 0.166626f, 0.815430f, 0.818359f, 0.818359f, 0.817383f, 0.818848f, 0.818359f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000008f, 0.000016f, 0.000031f, 0.000035f, 0.000048f, 0.000050f, 0.000053f, 0.000058f, 0.000059f, - 0.000063f, 0.000064f, 0.000067f, 0.000067f, 0.000070f, 0.000071f, 0.000072f, 0.000073f, 0.000075f, 0.000075f, 0.000076f, 0.000075f, - 0.000069f, 0.000064f, 0.000060f, 0.000055f, 0.000051f, 0.000047f, 0.000043f, 0.000040f, 0.000037f, 0.000034f, 0.000040f, 0.000041f, - 0.000054f, 0.000069f, 0.000096f, 0.000111f, 0.000109f, 0.000113f, 0.000142f, 0.000136f, 0.000158f, 0.000196f, 0.000237f, 0.000349f, - 0.000423f, 0.000744f, 0.001380f, 0.003214f, 0.011124f, 0.088135f, 0.777344f, 0.779297f, 0.780273f, 0.779785f, 0.779785f, 0.779785f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000003f, 0.000007f, 0.000021f, 0.000023f, 0.000031f, 0.000034f, 0.000038f, 0.000041f, 0.000043f, 0.000047f, - 0.000049f, 0.000050f, 0.000053f, 0.000055f, 0.000056f, 0.000057f, 0.000059f, 0.000060f, 0.000055f, 0.000051f, 0.000048f, 0.000044f, - 0.000041f, 0.000038f, 0.000035f, 0.000032f, 0.000029f, 0.000028f, 0.000028f, 0.000037f, 0.000044f, 0.000064f, 0.000078f, 0.000072f, - 0.000089f, 0.000098f, 0.000104f, 0.000146f, 0.000200f, 0.000272f, 0.000479f, 0.001077f, 0.003733f, 0.033752f, 0.729492f, 0.730957f, - 0.732422f, 0.731934f, 0.732422f, 0.732422f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000006f, 0.000009f, 0.000013f, 0.000019f, 0.000021f, 0.000025f, 0.000027f, 0.000030f, - 0.000033f, 0.000034f, 0.000037f, 0.000039f, 0.000041f, 0.000039f, 0.000036f, 0.000033f, 0.000031f, 0.000028f, 0.000026f, 0.000024f, - 0.000021f, 0.000019f, 0.000017f, 0.000023f, 0.000033f, 0.000041f, 0.000043f, 0.000058f, 0.000061f, 0.000081f, 0.000121f, 0.000248f, - 0.000821f, 0.008255f, 0.673340f, 0.674805f, 0.674316f, 0.674805f, 0.674805f, 0.673828f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000006f, 0.000010f, 0.000013f, - 0.000015f, 0.000017f, 0.000020f, 0.000022f, 0.000021f, 0.000019f, 0.000017f, 0.000015f, 0.000013f, 0.000012f, 0.000010f, 0.000011f, - 0.000016f, 0.000019f, 0.000019f, 0.000036f, 0.000090f, 0.000897f, 0.606934f, 0.609863f, 0.609375f, 0.609863f, 0.609863f, 0.610352f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000001f, 0.000003f, 0.000006f, 0.000005f, 0.000004f, 0.000003f, 0.000004f, 0.000008f, 0.534668f, 0.536621f, - 0.537109f, 0.537109f, 0.536621f, 0.536621f, - }, - { - 0.149292f, 0.432373f, 0.614258f, 0.719238f, 0.784180f, 0.826660f, 0.856934f, 0.879883f, 0.896484f, 0.909180f, 0.919922f, 0.928711f, - 0.936035f, 0.942383f, 0.947266f, 0.952148f, 0.956055f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.970703f, 0.972656f, 0.974609f, - 0.976562f, 0.978027f, 0.979492f, 0.980469f, 0.981934f, 0.983398f, 0.984863f, 0.985352f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, - 0.989746f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, - 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.040161f, 0.161255f, 0.324951f, 0.486572f, 0.612305f, 0.704590f, 0.767090f, 0.811523f, - 0.844238f, 0.868652f, 0.887695f, 0.902344f, 0.913574f, 0.924316f, 0.932129f, 0.937988f, 0.944336f, 0.949707f, 0.954102f, 0.957520f, - 0.960938f, 0.964355f, 0.966797f, 0.969727f, 0.971191f, 0.973633f, 0.975586f, 0.977539f, 0.979004f, 0.980469f, 0.981445f, 0.982910f, - 0.983887f, 0.985352f, 0.985840f, 0.987305f, 0.987793f, 0.988770f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, - 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, - 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.017395f, 0.068542f, 0.149292f, 0.262451f, - 0.392822f, 0.518066f, 0.621582f, 0.700195f, 0.759766f, 0.803711f, 0.836426f, 0.862305f, 0.880859f, 0.896484f, 0.909668f, 0.919434f, - 0.929199f, 0.935547f, 0.941895f, 0.947754f, 0.952637f, 0.956055f, 0.959961f, 0.963867f, 0.965820f, 0.968750f, 0.970703f, 0.973145f, - 0.975098f, 0.977051f, 0.979004f, 0.979980f, 0.981934f, 0.983398f, 0.983887f, 0.984863f, 0.985840f, 0.986816f, 0.987793f, 0.989258f, - 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, - 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, - 0.009125f, 0.035492f, 0.075806f, 0.135864f, 0.219971f, 0.324707f, 0.437012f, 0.543457f, 0.633789f, 0.704102f, 0.758789f, 0.802246f, - 0.833496f, 0.857910f, 0.878418f, 0.894043f, 0.906738f, 0.917480f, 0.925781f, 0.933594f, 0.940918f, 0.946777f, 0.951172f, 0.954590f, - 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.971191f, 0.973145f, 0.975098f, 0.976562f, 0.978516f, 0.979980f, 0.981445f, 0.982422f, - 0.983887f, 0.985840f, 0.986328f, 0.987305f, 0.988281f, 0.988770f, 0.989746f, 0.990234f, 0.991699f, 0.992188f, 0.992676f, 0.993652f, - 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.005848f, 0.021225f, 0.043640f, 0.076782f, 0.124084f, 0.189575f, 0.274414f, 0.372559f, - 0.473633f, 0.567383f, 0.646973f, 0.711426f, 0.761230f, 0.801758f, 0.833496f, 0.857422f, 0.876953f, 0.893066f, 0.905273f, 0.916504f, - 0.925293f, 0.932617f, 0.939941f, 0.945801f, 0.950684f, 0.955566f, 0.958984f, 0.962402f, 0.965820f, 0.968262f, 0.970703f, 0.972656f, - 0.975098f, 0.977051f, 0.978516f, 0.980469f, 0.981934f, 0.982422f, 0.983887f, 0.985840f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, - 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, 0.996094f, 0.997070f, - 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, 0.003937f, 0.014107f, 0.027664f, 0.047211f, - 0.075195f, 0.113953f, 0.166748f, 0.236328f, 0.320312f, 0.412354f, 0.504395f, 0.589844f, 0.661621f, 0.719727f, 0.768066f, 0.805664f, - 0.834961f, 0.858398f, 0.877441f, 0.893066f, 0.906738f, 0.916992f, 0.926270f, 0.933105f, 0.940430f, 0.946289f, 0.951172f, 0.955566f, - 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.970703f, 0.973145f, 0.975098f, 0.977051f, 0.979004f, 0.980469f, 0.981934f, 0.983398f, - 0.984375f, 0.985840f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993652f, 0.994629f, - 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, - 0.002962f, 0.009674f, 0.019348f, 0.031708f, 0.049255f, 0.072754f, 0.105164f, 0.149048f, 0.206665f, 0.278076f, 0.361572f, 0.448730f, - 0.534668f, 0.611816f, 0.677734f, 0.730957f, 0.775879f, 0.809570f, 0.837891f, 0.861328f, 0.879395f, 0.894531f, 0.907227f, 0.916992f, - 0.926270f, 0.934082f, 0.940918f, 0.946289f, 0.951172f, 0.956055f, 0.959473f, 0.962891f, 0.966797f, 0.969238f, 0.971191f, 0.973633f, - 0.976074f, 0.977539f, 0.979492f, 0.980957f, 0.982422f, 0.983398f, 0.984863f, 0.986328f, 0.986816f, 0.988281f, 0.989746f, 0.989746f, - 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.997070f, 0.998535f, 0.999023f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.001900f, 0.007225f, 0.013733f, 0.022552f, 0.033661f, 0.049164f, 0.070374f, 0.097534f, - 0.135132f, 0.183350f, 0.244507f, 0.317871f, 0.400146f, 0.483643f, 0.562988f, 0.633301f, 0.693848f, 0.743652f, 0.784180f, 0.816895f, - 0.842773f, 0.865234f, 0.882812f, 0.896973f, 0.908691f, 0.919434f, 0.927734f, 0.935547f, 0.942383f, 0.947266f, 0.952637f, 0.957031f, - 0.960938f, 0.964355f, 0.967285f, 0.969727f, 0.971680f, 0.974609f, 0.976074f, 0.978027f, 0.979980f, 0.981445f, 0.982910f, 0.984375f, - 0.985840f, 0.986328f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, - 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.001921f, 0.005543f, 0.010223f, 0.016312f, - 0.024918f, 0.035217f, 0.049164f, 0.067017f, 0.091125f, 0.122986f, 0.164673f, 0.217896f, 0.282471f, 0.356934f, 0.436768f, 0.516602f, - 0.590820f, 0.656250f, 0.711426f, 0.757812f, 0.794922f, 0.825684f, 0.850098f, 0.870605f, 0.885742f, 0.900879f, 0.912109f, 0.921387f, - 0.929688f, 0.937500f, 0.943848f, 0.949219f, 0.953125f, 0.958496f, 0.961426f, 0.964844f, 0.967773f, 0.970703f, 0.973145f, 0.975098f, - 0.977539f, 0.979004f, 0.980957f, 0.982422f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989258f, 0.990723f, 0.991211f, - 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, - 0.001360f, 0.004257f, 0.007988f, 0.013092f, 0.018753f, 0.026352f, 0.035645f, 0.048096f, 0.064270f, 0.085449f, 0.113770f, 0.149292f, - 0.195190f, 0.251953f, 0.320557f, 0.395020f, 0.474121f, 0.549316f, 0.618652f, 0.678223f, 0.729492f, 0.770996f, 0.805176f, 0.833496f, - 0.855957f, 0.875977f, 0.891113f, 0.904785f, 0.915039f, 0.924316f, 0.933105f, 0.939453f, 0.945312f, 0.950684f, 0.955078f, 0.959473f, - 0.962891f, 0.966309f, 0.969727f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979980f, 0.981934f, 0.983398f, 0.984375f, 0.986328f, - 0.986816f, 0.988281f, 0.989746f, 0.990234f, 0.991699f, 0.992188f, 0.992676f, 0.994141f, 0.994141f, 0.994629f, 0.998047f, 0.998047f, - 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.001075f, 0.003492f, 0.006275f, 0.010223f, 0.014473f, 0.019821f, 0.026581f, 0.035492f, - 0.046967f, 0.061829f, 0.080750f, 0.105164f, 0.136475f, 0.177246f, 0.227783f, 0.288818f, 0.358154f, 0.433594f, 0.509277f, 0.581543f, - 0.645508f, 0.701172f, 0.747070f, 0.783691f, 0.817383f, 0.842773f, 0.864258f, 0.881836f, 0.896484f, 0.908691f, 0.918945f, 0.928223f, - 0.935547f, 0.941895f, 0.948730f, 0.952637f, 0.957031f, 0.962402f, 0.964844f, 0.967773f, 0.970703f, 0.973633f, 0.975586f, 0.977539f, - 0.979492f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, - 0.993164f, 0.994141f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.997559f, 0.998047f, 0.000967f, 0.002928f, 0.005283f, 0.007759f, - 0.011612f, 0.015823f, 0.020966f, 0.027802f, 0.035461f, 0.045959f, 0.059235f, 0.075928f, 0.097778f, 0.126099f, 0.162598f, 0.207153f, - 0.261963f, 0.326416f, 0.398193f, 0.471680f, 0.543945f, 0.612305f, 0.671875f, 0.722656f, 0.765137f, 0.799805f, 0.828125f, 0.854004f, - 0.872070f, 0.888184f, 0.902344f, 0.914062f, 0.923340f, 0.931641f, 0.938965f, 0.945312f, 0.950684f, 0.955566f, 0.958984f, 0.962891f, - 0.966309f, 0.969727f, 0.972168f, 0.974609f, 0.977051f, 0.978516f, 0.980469f, 0.982422f, 0.984375f, 0.985352f, 0.987305f, 0.987793f, - 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, - 0.000602f, 0.002605f, 0.004345f, 0.006706f, 0.009590f, 0.012650f, 0.016617f, 0.021423f, 0.027893f, 0.035004f, 0.044495f, 0.056610f, - 0.072327f, 0.092285f, 0.116821f, 0.148926f, 0.189697f, 0.238892f, 0.298340f, 0.365723f, 0.437988f, 0.511230f, 0.579590f, 0.642090f, - 0.698242f, 0.744141f, 0.781738f, 0.814453f, 0.840332f, 0.861816f, 0.880371f, 0.895996f, 0.907715f, 0.918945f, 0.928223f, 0.935547f, - 0.942871f, 0.948730f, 0.953125f, 0.958008f, 0.961914f, 0.965332f, 0.968750f, 0.971680f, 0.973633f, 0.976562f, 0.978516f, 0.979980f, - 0.981934f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.997070f, 0.997559f, - 0.997559f, 0.997070f, 0.997070f, 0.997070f, 0.000607f, 0.001955f, 0.003616f, 0.005772f, 0.007656f, 0.010269f, 0.013496f, 0.017273f, - 0.022018f, 0.027466f, 0.034729f, 0.043488f, 0.054932f, 0.068359f, 0.086365f, 0.108765f, 0.137939f, 0.174316f, 0.219360f, 0.273926f, - 0.336670f, 0.406494f, 0.478516f, 0.549316f, 0.614746f, 0.673340f, 0.722656f, 0.765137f, 0.800293f, 0.828125f, 0.853516f, 0.872070f, - 0.888672f, 0.902832f, 0.914551f, 0.924316f, 0.932129f, 0.940430f, 0.946289f, 0.951660f, 0.956055f, 0.960449f, 0.964355f, 0.967773f, - 0.970703f, 0.972656f, 0.975586f, 0.978027f, 0.980469f, 0.981934f, 0.983398f, 0.985352f, 0.986328f, 0.988281f, 0.988770f, 0.990234f, - 0.990723f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.000600f, 0.001813f, 0.003101f, 0.004559f, - 0.006580f, 0.008873f, 0.011047f, 0.014091f, 0.017639f, 0.022049f, 0.027557f, 0.033997f, 0.042297f, 0.052704f, 0.065369f, 0.081238f, - 0.101929f, 0.127930f, 0.161255f, 0.202515f, 0.252686f, 0.311523f, 0.378174f, 0.449707f, 0.519531f, 0.587891f, 0.647949f, 0.701660f, - 0.746582f, 0.784668f, 0.817383f, 0.843262f, 0.864746f, 0.882324f, 0.896973f, 0.910156f, 0.920898f, 0.929688f, 0.937012f, 0.943848f, - 0.949707f, 0.955078f, 0.959473f, 0.963379f, 0.966797f, 0.970215f, 0.973145f, 0.975098f, 0.978027f, 0.980469f, 0.982422f, 0.983887f, - 0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, - 0.000604f, 0.001429f, 0.002676f, 0.003708f, 0.005745f, 0.006973f, 0.009270f, 0.011452f, 0.014503f, 0.018295f, 0.022369f, 0.027222f, - 0.033417f, 0.040833f, 0.050171f, 0.062744f, 0.077454f, 0.095886f, 0.119995f, 0.150391f, 0.187622f, 0.234253f, 0.289307f, 0.353027f, - 0.421631f, 0.492676f, 0.561523f, 0.625488f, 0.681152f, 0.730469f, 0.770996f, 0.806152f, 0.833984f, 0.857422f, 0.876465f, 0.893066f, - 0.906250f, 0.916992f, 0.926758f, 0.935059f, 0.942871f, 0.948242f, 0.954102f, 0.958496f, 0.962891f, 0.966309f, 0.969727f, 0.972168f, - 0.975098f, 0.977539f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, 0.989258f, 0.990234f, 0.996094f, 0.996582f, - 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.000365f, 0.001367f, 0.002123f, 0.003353f, 0.004692f, 0.006054f, 0.007675f, 0.009819f, - 0.012314f, 0.014862f, 0.018066f, 0.022064f, 0.026901f, 0.032471f, 0.039764f, 0.048584f, 0.060089f, 0.073730f, 0.090698f, 0.112854f, - 0.140381f, 0.175415f, 0.218018f, 0.269775f, 0.329834f, 0.396240f, 0.467285f, 0.537598f, 0.603516f, 0.662109f, 0.712891f, 0.757324f, - 0.793945f, 0.823730f, 0.849121f, 0.869629f, 0.887695f, 0.902344f, 0.914062f, 0.924805f, 0.932129f, 0.940430f, 0.947266f, 0.952148f, - 0.957031f, 0.962402f, 0.966309f, 0.969238f, 0.972656f, 0.975586f, 0.977051f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, - 0.988281f, 0.988770f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000356f, 0.001341f, 0.001913f, 0.002897f, - 0.003983f, 0.005322f, 0.006607f, 0.008514f, 0.010399f, 0.012451f, 0.015282f, 0.018356f, 0.021912f, 0.026443f, 0.031982f, 0.038635f, - 0.047150f, 0.057495f, 0.070007f, 0.086609f, 0.106689f, 0.131714f, 0.164429f, 0.203613f, 0.252441f, 0.310059f, 0.374512f, 0.444092f, - 0.514160f, 0.582031f, 0.643066f, 0.697266f, 0.743652f, 0.783691f, 0.814941f, 0.842773f, 0.865234f, 0.882812f, 0.897949f, 0.910645f, - 0.922363f, 0.931152f, 0.938965f, 0.945801f, 0.952148f, 0.957520f, 0.961426f, 0.965820f, 0.969727f, 0.972168f, 0.975098f, 0.977539f, - 0.979980f, 0.981934f, 0.983887f, 0.985352f, 0.986816f, 0.988281f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, - 0.000243f, 0.000937f, 0.001662f, 0.002617f, 0.003527f, 0.004555f, 0.005642f, 0.007217f, 0.008820f, 0.010483f, 0.012383f, 0.015175f, - 0.018341f, 0.022049f, 0.026245f, 0.031067f, 0.037903f, 0.045563f, 0.054962f, 0.066956f, 0.082092f, 0.101074f, 0.124939f, 0.154663f, - 0.191528f, 0.237305f, 0.291992f, 0.354492f, 0.422852f, 0.492676f, 0.562012f, 0.625488f, 0.682617f, 0.731934f, 0.772949f, 0.807129f, - 0.835449f, 0.859863f, 0.878906f, 0.895020f, 0.908203f, 0.920898f, 0.929199f, 0.937988f, 0.945312f, 0.951660f, 0.957031f, 0.961914f, - 0.965332f, 0.968750f, 0.972656f, 0.975098f, 0.977539f, 0.979980f, 0.982422f, 0.983887f, 0.986328f, 0.987793f, 0.995117f, 0.995605f, - 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.000362f, 0.000970f, 0.001489f, 0.002251f, 0.002892f, 0.003727f, 0.004978f, 0.006264f, - 0.007530f, 0.009125f, 0.010551f, 0.012756f, 0.015259f, 0.018097f, 0.021637f, 0.025986f, 0.030594f, 0.036804f, 0.044006f, 0.053162f, - 0.064148f, 0.078003f, 0.096130f, 0.118042f, 0.146118f, 0.181030f, 0.224487f, 0.276123f, 0.336670f, 0.403320f, 0.473633f, 0.543457f, - 0.609375f, 0.667480f, 0.719238f, 0.763184f, 0.799316f, 0.829590f, 0.854492f, 0.875488f, 0.892578f, 0.906738f, 0.918945f, 0.928711f, - 0.937012f, 0.944336f, 0.951172f, 0.956543f, 0.961426f, 0.965820f, 0.968750f, 0.972656f, 0.975098f, 0.978027f, 0.980469f, 0.982910f, - 0.984375f, 0.985840f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.000346f, 0.000923f, 0.001273f, 0.002010f, - 0.002619f, 0.003689f, 0.004452f, 0.005177f, 0.006290f, 0.007561f, 0.009033f, 0.010902f, 0.012970f, 0.015495f, 0.018280f, 0.021576f, - 0.024948f, 0.030304f, 0.035400f, 0.042480f, 0.051086f, 0.061401f, 0.074890f, 0.091187f, 0.112427f, 0.138794f, 0.171631f, 0.212158f, - 0.262451f, 0.320557f, 0.385986f, 0.456055f, 0.525391f, 0.593262f, 0.654297f, 0.708984f, 0.754883f, 0.792969f, 0.824707f, 0.850098f, - 0.872070f, 0.890137f, 0.904785f, 0.917480f, 0.927734f, 0.937012f, 0.944336f, 0.951172f, 0.956055f, 0.961914f, 0.966309f, 0.969727f, - 0.973145f, 0.976074f, 0.978516f, 0.980469f, 0.982910f, 0.984863f, 0.993652f, 0.995117f, 0.994629f, 0.994629f, 0.994629f, 0.994629f, - 0.000242f, 0.000666f, 0.001081f, 0.001806f, 0.002512f, 0.003397f, 0.003866f, 0.004894f, 0.005566f, 0.006859f, 0.007957f, 0.009506f, - 0.011009f, 0.013046f, 0.015266f, 0.018173f, 0.021027f, 0.024811f, 0.029526f, 0.034790f, 0.041443f, 0.049835f, 0.059265f, 0.071899f, - 0.087769f, 0.107422f, 0.132202f, 0.163208f, 0.201782f, 0.249512f, 0.305908f, 0.370361f, 0.440430f, 0.511230f, 0.578613f, 0.642090f, - 0.698730f, 0.746582f, 0.787109f, 0.819824f, 0.848145f, 0.869141f, 0.888672f, 0.903809f, 0.916992f, 0.927246f, 0.936523f, 0.943848f, - 0.951660f, 0.957031f, 0.961426f, 0.965820f, 0.970215f, 0.973145f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.994141f, 0.994141f, - 0.994629f, 0.994141f, 0.994629f, 0.994141f, 0.000242f, 0.000709f, 0.000917f, 0.001194f, 0.002018f, 0.002634f, 0.003504f, 0.003918f, - 0.005020f, 0.005726f, 0.006935f, 0.008141f, 0.009666f, 0.011040f, 0.012848f, 0.014961f, 0.017624f, 0.020660f, 0.024368f, 0.028381f, - 0.033905f, 0.040283f, 0.047760f, 0.057312f, 0.069214f, 0.083984f, 0.102539f, 0.126221f, 0.155640f, 0.193359f, 0.238892f, 0.293701f, - 0.356689f, 0.425537f, 0.497070f, 0.568359f, 0.632812f, 0.690918f, 0.739746f, 0.782227f, 0.816406f, 0.845703f, 0.868652f, 0.887695f, - 0.903320f, 0.916992f, 0.927734f, 0.937012f, 0.944824f, 0.951660f, 0.957031f, 0.962891f, 0.966797f, 0.971191f, 0.973633f, 0.976562f, - 0.979492f, 0.981934f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.994141f, 0.000244f, 0.000660f, 0.000918f, 0.001343f, - 0.002117f, 0.002407f, 0.002779f, 0.003626f, 0.004246f, 0.005207f, 0.005913f, 0.007145f, 0.008163f, 0.009438f, 0.011101f, 0.012871f, - 0.014999f, 0.017426f, 0.020096f, 0.024185f, 0.027725f, 0.032623f, 0.038910f, 0.046387f, 0.055298f, 0.066467f, 0.080627f, 0.098328f, - 0.120972f, 0.149658f, 0.184814f, 0.229492f, 0.282715f, 0.344727f, 0.414062f, 0.486084f, 0.556641f, 0.624023f, 0.683594f, 0.735352f, - 0.778320f, 0.814453f, 0.843750f, 0.867188f, 0.887207f, 0.903320f, 0.916504f, 0.928223f, 0.937500f, 0.945312f, 0.953125f, 0.958008f, - 0.964355f, 0.967285f, 0.971680f, 0.975098f, 0.978516f, 0.980957f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, - 0.000200f, 0.000480f, 0.000808f, 0.001303f, 0.001680f, 0.002104f, 0.002510f, 0.002934f, 0.003468f, 0.004429f, 0.005539f, 0.006046f, - 0.006889f, 0.008438f, 0.009415f, 0.011108f, 0.012787f, 0.014572f, 0.017517f, 0.020279f, 0.023483f, 0.027359f, 0.031860f, 0.037964f, - 0.045227f, 0.053711f, 0.064148f, 0.077759f, 0.095093f, 0.116272f, 0.143311f, 0.177856f, 0.221191f, 0.273193f, 0.334473f, 0.403320f, - 0.476318f, 0.548828f, 0.617188f, 0.677734f, 0.730957f, 0.775879f, 0.812500f, 0.842285f, 0.866699f, 0.887695f, 0.903809f, 0.916992f, - 0.928711f, 0.938477f, 0.946777f, 0.953125f, 0.959473f, 0.963867f, 0.968750f, 0.972656f, 0.976074f, 0.979004f, 0.992188f, 0.992676f, - 0.993164f, 0.993164f, 0.992676f, 0.993164f, 0.000243f, 0.000469f, 0.000878f, 0.001158f, 0.001382f, 0.001801f, 0.002220f, 0.002699f, - 0.003273f, 0.004063f, 0.004715f, 0.005447f, 0.005917f, 0.007099f, 0.008385f, 0.009521f, 0.011032f, 0.012627f, 0.014870f, 0.016922f, - 0.019836f, 0.023010f, 0.026642f, 0.031174f, 0.036926f, 0.043549f, 0.051941f, 0.062561f, 0.075317f, 0.091553f, 0.112427f, 0.138428f, - 0.172485f, 0.213867f, 0.265381f, 0.326172f, 0.394775f, 0.467773f, 0.541504f, 0.610840f, 0.673340f, 0.728516f, 0.774414f, 0.812012f, - 0.842773f, 0.867676f, 0.887695f, 0.904297f, 0.918457f, 0.929688f, 0.939453f, 0.948242f, 0.955078f, 0.959961f, 0.965820f, 0.970215f, - 0.974121f, 0.977051f, 0.991211f, 0.993164f, 0.993164f, 0.992188f, 0.993164f, 0.992188f, 0.000000f, 0.000242f, 0.000799f, 0.000998f, - 0.001273f, 0.001671f, 0.002069f, 0.002485f, 0.003212f, 0.003578f, 0.003948f, 0.004559f, 0.005524f, 0.006321f, 0.007046f, 0.008438f, - 0.009438f, 0.010986f, 0.012390f, 0.014320f, 0.016663f, 0.019165f, 0.022476f, 0.025833f, 0.030487f, 0.035675f, 0.042358f, 0.050018f, - 0.060211f, 0.072693f, 0.088379f, 0.108948f, 0.134766f, 0.166626f, 0.208008f, 0.258545f, 0.318848f, 0.387451f, 0.461670f, 0.536621f, - 0.606934f, 0.671387f, 0.727539f, 0.773438f, 0.811523f, 0.843750f, 0.868164f, 0.889160f, 0.906250f, 0.920410f, 0.932617f, 0.941895f, - 0.949707f, 0.956055f, 0.962402f, 0.967285f, 0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, - 0.000237f, 0.000482f, 0.000772f, 0.000877f, 0.001109f, 0.001494f, 0.001991f, 0.002041f, 0.002537f, 0.002975f, 0.003469f, 0.004128f, - 0.004841f, 0.005550f, 0.006306f, 0.007359f, 0.008369f, 0.009415f, 0.010788f, 0.012306f, 0.014160f, 0.016571f, 0.018921f, 0.021896f, - 0.025497f, 0.029587f, 0.034576f, 0.041260f, 0.049011f, 0.058319f, 0.070557f, 0.086060f, 0.105774f, 0.130737f, 0.162720f, 0.203247f, - 0.252930f, 0.313477f, 0.382568f, 0.457275f, 0.532715f, 0.605469f, 0.671387f, 0.728027f, 0.774902f, 0.814453f, 0.844727f, 0.870605f, - 0.891113f, 0.909180f, 0.922852f, 0.934082f, 0.943359f, 0.951660f, 0.958008f, 0.964355f, 0.968750f, 0.973145f, 0.990234f, 0.990723f, - 0.991699f, 0.991211f, 0.991211f, 0.991211f, 0.000235f, 0.000461f, 0.000484f, 0.000891f, 0.001105f, 0.001346f, 0.001634f, 0.001936f, - 0.002438f, 0.002874f, 0.003353f, 0.003925f, 0.004189f, 0.004887f, 0.005684f, 0.006279f, 0.007298f, 0.008339f, 0.009384f, 0.010674f, - 0.012360f, 0.013901f, 0.016113f, 0.018677f, 0.021469f, 0.024841f, 0.029144f, 0.033783f, 0.039948f, 0.047272f, 0.056915f, 0.068726f, - 0.083801f, 0.102905f, 0.127563f, 0.159058f, 0.199341f, 0.248901f, 0.309570f, 0.379395f, 0.454834f, 0.532715f, 0.606934f, 0.672852f, - 0.729980f, 0.778320f, 0.817383f, 0.849121f, 0.874512f, 0.895020f, 0.911621f, 0.924805f, 0.937012f, 0.946289f, 0.954102f, 0.960938f, - 0.965820f, 0.971191f, 0.989258f, 0.990234f, 0.990723f, 0.991211f, 0.990723f, 0.990723f, 0.000000f, 0.000360f, 0.000477f, 0.000756f, - 0.000896f, 0.001065f, 0.001570f, 0.001622f, 0.002064f, 0.002525f, 0.002819f, 0.003004f, 0.003700f, 0.004356f, 0.005077f, 0.005428f, - 0.006283f, 0.007370f, 0.008339f, 0.009323f, 0.010567f, 0.012070f, 0.013672f, 0.015839f, 0.018066f, 0.020844f, 0.024002f, 0.028183f, - 0.033051f, 0.039246f, 0.046417f, 0.055450f, 0.067200f, 0.082031f, 0.100586f, 0.125122f, 0.156250f, 0.196167f, 0.245972f, 0.307129f, - 0.378174f, 0.454834f, 0.533203f, 0.608398f, 0.675781f, 0.734375f, 0.782715f, 0.821777f, 0.853516f, 0.878906f, 0.898926f, 0.915039f, - 0.929199f, 0.939941f, 0.948730f, 0.956055f, 0.963379f, 0.968262f, 0.988770f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, 0.990234f, - 0.000000f, 0.000256f, 0.000467f, 0.000590f, 0.000772f, 0.001095f, 0.001356f, 0.001781f, 0.001984f, 0.002161f, 0.002546f, 0.002956f, - 0.003338f, 0.003899f, 0.004440f, 0.004986f, 0.005486f, 0.006310f, 0.006969f, 0.008148f, 0.009148f, 0.010284f, 0.011902f, 0.013573f, - 0.015465f, 0.017853f, 0.020340f, 0.023590f, 0.027298f, 0.032227f, 0.038208f, 0.045563f, 0.054047f, 0.065796f, 0.080322f, 0.098999f, - 0.122864f, 0.153809f, 0.193970f, 0.244629f, 0.306396f, 0.378662f, 0.457031f, 0.536621f, 0.613770f, 0.681641f, 0.740723f, 0.788574f, - 0.827637f, 0.858398f, 0.884277f, 0.903320f, 0.919922f, 0.932129f, 0.942871f, 0.951660f, 0.959961f, 0.965820f, 0.987305f, 0.988281f, - 0.989258f, 0.989258f, 0.989258f, 0.989258f, 0.000244f, 0.000243f, 0.000583f, 0.000585f, 0.000822f, 0.001073f, 0.001159f, 0.001452f, - 0.001525f, 0.002001f, 0.002201f, 0.002714f, 0.002932f, 0.003525f, 0.003904f, 0.004482f, 0.004997f, 0.005581f, 0.006233f, 0.006954f, - 0.007820f, 0.008949f, 0.009941f, 0.011482f, 0.013168f, 0.015099f, 0.017151f, 0.020111f, 0.022949f, 0.026947f, 0.031647f, 0.037354f, - 0.044342f, 0.053375f, 0.064331f, 0.078857f, 0.097351f, 0.121033f, 0.152588f, 0.192749f, 0.244263f, 0.307129f, 0.380615f, 0.461426f, - 0.543457f, 0.621582f, 0.690430f, 0.748047f, 0.796387f, 0.834961f, 0.865723f, 0.889160f, 0.908691f, 0.924316f, 0.937500f, 0.946777f, - 0.955078f, 0.962891f, 0.986328f, 0.987793f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, 0.000000f, 0.000243f, 0.000308f, 0.000541f, - 0.000801f, 0.000827f, 0.001057f, 0.001280f, 0.001460f, 0.001781f, 0.002090f, 0.002481f, 0.002756f, 0.003054f, 0.003321f, 0.003948f, - 0.004303f, 0.004898f, 0.005306f, 0.006405f, 0.006954f, 0.007851f, 0.008537f, 0.009918f, 0.011208f, 0.012825f, 0.014534f, 0.016861f, - 0.019379f, 0.022629f, 0.026276f, 0.030838f, 0.036407f, 0.043488f, 0.051819f, 0.063416f, 0.077209f, 0.095825f, 0.119812f, 0.151489f, - 0.192749f, 0.245361f, 0.309814f, 0.385986f, 0.469238f, 0.552246f, 0.630859f, 0.699707f, 0.757324f, 0.805176f, 0.842773f, 0.873047f, - 0.895508f, 0.914062f, 0.929688f, 0.941406f, 0.952148f, 0.959473f, 0.985840f, 0.986816f, 0.987305f, 0.987305f, 0.987305f, 0.987305f, - 0.000000f, 0.000243f, 0.000242f, 0.000548f, 0.000695f, 0.000803f, 0.001053f, 0.001198f, 0.001363f, 0.001513f, 0.001886f, 0.002069f, - 0.002447f, 0.002676f, 0.003138f, 0.003551f, 0.003868f, 0.004261f, 0.004936f, 0.005337f, 0.005852f, 0.006615f, 0.007519f, 0.008575f, - 0.009705f, 0.010872f, 0.012688f, 0.014397f, 0.016479f, 0.019119f, 0.022064f, 0.025589f, 0.030304f, 0.035828f, 0.042603f, 0.050812f, - 0.062012f, 0.076355f, 0.094971f, 0.119263f, 0.151367f, 0.193726f, 0.247925f, 0.314941f, 0.393311f, 0.478271f, 0.563965f, 0.642578f, - 0.711914f, 0.769043f, 0.815430f, 0.851562f, 0.881348f, 0.902832f, 0.921387f, 0.934570f, 0.945801f, 0.955078f, 0.984375f, 0.986328f, - 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.000000f, 0.000234f, 0.000239f, 0.000308f, 0.000597f, 0.000690f, 0.000868f, 0.000937f, - 0.001189f, 0.001404f, 0.001696f, 0.001854f, 0.002180f, 0.002249f, 0.002672f, 0.002979f, 0.003494f, 0.003761f, 0.004257f, 0.004745f, - 0.005154f, 0.005821f, 0.006561f, 0.007557f, 0.008575f, 0.009575f, 0.010963f, 0.012238f, 0.014130f, 0.016113f, 0.018539f, 0.021545f, - 0.025162f, 0.029404f, 0.034851f, 0.041626f, 0.050354f, 0.061218f, 0.075562f, 0.094482f, 0.119507f, 0.152344f, 0.196167f, 0.252197f, - 0.322266f, 0.404053f, 0.490967f, 0.577637f, 0.658203f, 0.726074f, 0.782715f, 0.827637f, 0.861816f, 0.889648f, 0.910645f, 0.926758f, - 0.940918f, 0.950684f, 0.983398f, 0.985352f, 0.984863f, 0.985352f, 0.985840f, 0.985352f, 0.000000f, 0.000240f, 0.000237f, 0.000239f, - 0.000436f, 0.000648f, 0.000661f, 0.000892f, 0.001089f, 0.001484f, 0.001446f, 0.001586f, 0.001896f, 0.002176f, 0.002325f, 0.002634f, - 0.003057f, 0.003315f, 0.003561f, 0.004150f, 0.004578f, 0.005180f, 0.005768f, 0.006485f, 0.007286f, 0.008400f, 0.009453f, 0.010429f, - 0.011795f, 0.013680f, 0.015671f, 0.018005f, 0.020981f, 0.024521f, 0.028748f, 0.034119f, 0.040863f, 0.049622f, 0.060303f, 0.074829f, - 0.094116f, 0.119995f, 0.154297f, 0.199341f, 0.258301f, 0.331787f, 0.416504f, 0.507812f, 0.595703f, 0.675781f, 0.743164f, 0.797852f, - 0.840820f, 0.873535f, 0.899414f, 0.919434f, 0.934082f, 0.947266f, 0.982422f, 0.983887f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, - 0.000136f, 0.000115f, 0.000237f, 0.000238f, 0.000358f, 0.000452f, 0.000759f, 0.000961f, 0.001026f, 0.001113f, 0.001433f, 0.001564f, - 0.001659f, 0.001955f, 0.002024f, 0.002384f, 0.002647f, 0.002974f, 0.003267f, 0.003611f, 0.003971f, 0.004498f, 0.005043f, 0.005539f, - 0.006344f, 0.007168f, 0.007942f, 0.009010f, 0.010353f, 0.011711f, 0.013458f, 0.015213f, 0.017548f, 0.020279f, 0.023926f, 0.028061f, - 0.033356f, 0.040283f, 0.048615f, 0.060455f, 0.074890f, 0.094727f, 0.121216f, 0.156860f, 0.204102f, 0.266846f, 0.344238f, 0.433105f, - 0.526855f, 0.616699f, 0.696289f, 0.761230f, 0.813965f, 0.854492f, 0.884766f, 0.909180f, 0.927734f, 0.941895f, 0.980957f, 0.982422f, - 0.982910f, 0.982422f, 0.982422f, 0.982910f, 0.000000f, 0.000103f, 0.000208f, 0.000356f, 0.000355f, 0.000400f, 0.000454f, 0.000861f, - 0.000922f, 0.001202f, 0.001088f, 0.001401f, 0.001493f, 0.001779f, 0.001881f, 0.002180f, 0.002329f, 0.002483f, 0.002846f, 0.003178f, - 0.003542f, 0.003914f, 0.004406f, 0.004871f, 0.005352f, 0.006119f, 0.006927f, 0.007904f, 0.008759f, 0.009972f, 0.011284f, 0.013046f, - 0.014938f, 0.016998f, 0.019943f, 0.023224f, 0.027161f, 0.032776f, 0.039917f, 0.048218f, 0.059937f, 0.075134f, 0.095642f, 0.123169f, - 0.160767f, 0.211670f, 0.278320f, 0.360352f, 0.454102f, 0.550293f, 0.640625f, 0.718262f, 0.781738f, 0.831055f, 0.869141f, 0.897461f, - 0.919434f, 0.936035f, 0.979492f, 0.980957f, 0.980957f, 0.981934f, 0.981445f, 0.981445f, 0.000000f, 0.000192f, 0.000191f, 0.000350f, - 0.000352f, 0.000354f, 0.000599f, 0.000721f, 0.000835f, 0.001044f, 0.000988f, 0.001141f, 0.001255f, 0.001479f, 0.001705f, 0.001815f, - 0.001843f, 0.002151f, 0.002369f, 0.002831f, 0.003067f, 0.003431f, 0.003698f, 0.004295f, 0.004738f, 0.005352f, 0.005859f, 0.006615f, - 0.007587f, 0.008583f, 0.009682f, 0.010735f, 0.012405f, 0.014381f, 0.016708f, 0.018921f, 0.022736f, 0.026947f, 0.032104f, 0.039032f, - 0.048004f, 0.059784f, 0.075500f, 0.096924f, 0.125977f, 0.166626f, 0.221069f, 0.292969f, 0.380371f, 0.479004f, 0.577637f, 0.667969f, - 0.743164f, 0.803711f, 0.849609f, 0.883789f, 0.910645f, 0.930176f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979980f, 0.979492f, - 0.000000f, 0.000000f, 0.000191f, 0.000214f, 0.000441f, 0.000465f, 0.000351f, 0.000656f, 0.000672f, 0.000957f, 0.000881f, 0.001092f, - 0.001209f, 0.001259f, 0.001315f, 0.001583f, 0.001630f, 0.001834f, 0.002033f, 0.002367f, 0.002596f, 0.002924f, 0.003387f, 0.003693f, - 0.004063f, 0.004601f, 0.004986f, 0.005676f, 0.006557f, 0.006973f, 0.007801f, 0.008781f, 0.010475f, 0.012100f, 0.013817f, 0.015625f, - 0.018784f, 0.021927f, 0.026260f, 0.031677f, 0.038879f, 0.048004f, 0.059845f, 0.076233f, 0.098633f, 0.130005f, 0.173950f, 0.233032f, - 0.311035f, 0.405518f, 0.507812f, 0.608887f, 0.698242f, 0.769531f, 0.826172f, 0.868164f, 0.899414f, 0.922852f, 0.976074f, 0.977539f, - 0.977539f, 0.977051f, 0.978027f, 0.978027f, 0.000000f, 0.000000f, 0.000117f, 0.000211f, 0.000326f, 0.000573f, 0.000574f, 0.000583f, - 0.000584f, 0.000659f, 0.000901f, 0.001014f, 0.001064f, 0.001033f, 0.001163f, 0.001234f, 0.001546f, 0.001585f, 0.001894f, 0.002085f, - 0.002361f, 0.002504f, 0.003023f, 0.003147f, 0.003580f, 0.004032f, 0.004314f, 0.004936f, 0.005215f, 0.006081f, 0.006725f, 0.007927f, - 0.008743f, 0.009918f, 0.011642f, 0.013367f, 0.015404f, 0.018219f, 0.021545f, 0.025787f, 0.031174f, 0.038361f, 0.047577f, 0.060425f, - 0.077881f, 0.102051f, 0.135376f, 0.182861f, 0.249023f, 0.333984f, 0.436035f, 0.542969f, 0.644043f, 0.730469f, 0.798340f, 0.848633f, - 0.886719f, 0.914062f, 0.973633f, 0.974609f, 0.975098f, 0.976074f, 0.975098f, 0.976074f, 0.000000f, 0.000000f, 0.000114f, 0.000112f, - 0.000271f, 0.000510f, 0.000450f, 0.000565f, 0.000572f, 0.000581f, 0.000654f, 0.000825f, 0.000954f, 0.001085f, 0.001050f, 0.001087f, - 0.001282f, 0.001547f, 0.001585f, 0.001825f, 0.002066f, 0.002182f, 0.002384f, 0.002659f, 0.003172f, 0.003357f, 0.003721f, 0.004238f, - 0.004505f, 0.005024f, 0.005878f, 0.006512f, 0.007324f, 0.008293f, 0.009201f, 0.011040f, 0.012993f, 0.015007f, 0.017639f, 0.020920f, - 0.025131f, 0.030899f, 0.038269f, 0.047760f, 0.061188f, 0.079651f, 0.105469f, 0.142944f, 0.195801f, 0.268799f, 0.363525f, 0.472168f, - 0.582520f, 0.683594f, 0.765137f, 0.826660f, 0.872070f, 0.905273f, 0.972168f, 0.973633f, 0.973145f, 0.973633f, 0.973633f, 0.973633f, - 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000224f, 0.000412f, 0.000494f, 0.000543f, 0.000561f, 0.000680f, 0.000665f, 0.000675f, - 0.000679f, 0.000797f, 0.000926f, 0.001122f, 0.001132f, 0.001207f, 0.001375f, 0.001606f, 0.001838f, 0.001963f, 0.002163f, 0.002314f, - 0.002480f, 0.002956f, 0.003189f, 0.003489f, 0.003744f, 0.004311f, 0.004749f, 0.005276f, 0.005867f, 0.006962f, 0.008186f, 0.008987f, - 0.010498f, 0.012283f, 0.014374f, 0.017075f, 0.020355f, 0.024719f, 0.030640f, 0.037720f, 0.048309f, 0.062134f, 0.082336f, 0.110840f, - 0.151978f, 0.212891f, 0.294922f, 0.399170f, 0.515137f, 0.628418f, 0.724609f, 0.799805f, 0.854980f, 0.894043f, 0.968750f, 0.970215f, - 0.970703f, 0.971191f, 0.970703f, 0.970703f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000228f, 0.000233f, 0.000436f, 0.000457f, - 0.000621f, 0.000546f, 0.000622f, 0.000633f, 0.000576f, 0.000644f, 0.000717f, 0.000909f, 0.000994f, 0.001127f, 0.001179f, 0.001267f, - 0.001513f, 0.001628f, 0.001742f, 0.001974f, 0.002111f, 0.002403f, 0.002810f, 0.003139f, 0.003231f, 0.003466f, 0.004021f, 0.004459f, - 0.004971f, 0.005581f, 0.006809f, 0.007568f, 0.008759f, 0.010002f, 0.011665f, 0.013847f, 0.016342f, 0.019714f, 0.024368f, 0.030106f, - 0.037811f, 0.048706f, 0.063843f, 0.085327f, 0.118042f, 0.164917f, 0.234131f, 0.328125f, 0.443359f, 0.565430f, 0.677246f, 0.767578f, - 0.833496f, 0.882812f, 0.965820f, 0.967285f, 0.967773f, 0.968262f, 0.967773f, 0.968262f, 0.000000f, 0.000000f, 0.000000f, 0.000214f, - 0.000210f, 0.000296f, 0.000309f, 0.000386f, 0.000462f, 0.000482f, 0.000525f, 0.000572f, 0.000525f, 0.000558f, 0.000689f, 0.000685f, - 0.000841f, 0.000934f, 0.001008f, 0.001182f, 0.001271f, 0.001412f, 0.001757f, 0.001787f, 0.001769f, 0.002110f, 0.002321f, 0.002331f, - 0.002737f, 0.002951f, 0.003189f, 0.003588f, 0.004253f, 0.004627f, 0.005505f, 0.006119f, 0.006969f, 0.008018f, 0.009583f, 0.010971f, - 0.013245f, 0.015915f, 0.019257f, 0.023651f, 0.030014f, 0.038086f, 0.049683f, 0.066406f, 0.091125f, 0.127441f, 0.182617f, 0.262939f, - 0.370605f, 0.497070f, 0.623047f, 0.729004f, 0.810547f, 0.867188f, 0.962891f, 0.963867f, 0.964844f, 0.964844f, 0.964355f, 0.964355f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000200f, 0.000215f, 0.000229f, 0.000319f, 0.000330f, 0.000411f, 0.000491f, 0.000527f, - 0.000547f, 0.000560f, 0.000634f, 0.000648f, 0.000716f, 0.000778f, 0.000855f, 0.000998f, 0.001182f, 0.001111f, 0.001274f, 0.001625f, - 0.001584f, 0.001559f, 0.001864f, 0.002037f, 0.002296f, 0.002438f, 0.002600f, 0.002993f, 0.003290f, 0.003801f, 0.004467f, 0.005085f, - 0.005508f, 0.006519f, 0.007645f, 0.008743f, 0.010757f, 0.012558f, 0.014946f, 0.018661f, 0.023422f, 0.029556f, 0.038574f, 0.050964f, - 0.069702f, 0.097351f, 0.140015f, 0.205566f, 0.301025f, 0.424561f, 0.559082f, 0.683594f, 0.781250f, 0.852051f, 0.958496f, 0.960449f, - 0.960938f, 0.960938f, 0.960938f, 0.960449f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000214f, 0.000251f, - 0.000302f, 0.000365f, 0.000370f, 0.000429f, 0.000495f, 0.000521f, 0.000504f, 0.000547f, 0.000632f, 0.000656f, 0.000695f, 0.000795f, - 0.000922f, 0.001074f, 0.001125f, 0.001192f, 0.001166f, 0.001303f, 0.001555f, 0.001575f, 0.001763f, 0.001970f, 0.002232f, 0.002560f, - 0.002657f, 0.003082f, 0.003559f, 0.003799f, 0.004620f, 0.005241f, 0.006081f, 0.007103f, 0.008385f, 0.009796f, 0.012192f, 0.014702f, - 0.018234f, 0.022934f, 0.029556f, 0.039307f, 0.053009f, 0.073547f, 0.106628f, 0.157715f, 0.237793f, 0.351318f, 0.490479f, 0.629883f, - 0.746094f, 0.832031f, 0.954590f, 0.956055f, 0.956055f, 0.957031f, 0.956543f, 0.956055f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000121f, 0.000146f, 0.000191f, 0.000200f, 0.000255f, 0.000232f, 0.000252f, 0.000359f, 0.000291f, 0.000342f, 0.000406f, 0.000498f, - 0.000520f, 0.000533f, 0.000632f, 0.000605f, 0.000689f, 0.000768f, 0.000908f, 0.001013f, 0.001087f, 0.001030f, 0.001211f, 0.001318f, - 0.001497f, 0.001609f, 0.001753f, 0.001957f, 0.002234f, 0.002352f, 0.002663f, 0.003040f, 0.003635f, 0.004082f, 0.004723f, 0.005516f, - 0.006367f, 0.007675f, 0.009224f, 0.011360f, 0.013695f, 0.017868f, 0.022598f, 0.029724f, 0.040222f, 0.055542f, 0.080078f, 0.119202f, - 0.182617f, 0.281738f, 0.417725f, 0.568848f, 0.705566f, 0.807129f, 0.948730f, 0.951172f, 0.951172f, 0.951172f, 0.951660f, 0.951660f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000203f, 0.000186f, 0.000184f, 0.000321f, - 0.000231f, 0.000337f, 0.000359f, 0.000430f, 0.000455f, 0.000531f, 0.000502f, 0.000517f, 0.000728f, 0.000643f, 0.000673f, 0.000816f, - 0.000930f, 0.000991f, 0.001028f, 0.001161f, 0.001284f, 0.001369f, 0.001474f, 0.001719f, 0.001781f, 0.001883f, 0.002258f, 0.002518f, - 0.002831f, 0.003201f, 0.003744f, 0.004349f, 0.005127f, 0.006130f, 0.007210f, 0.008423f, 0.010696f, 0.013405f, 0.017136f, 0.022522f, - 0.030029f, 0.041321f, 0.059631f, 0.089050f, 0.138062f, 0.218994f, 0.343750f, 0.500488f, 0.657227f, 0.780762f, 0.943848f, 0.945312f, - 0.945312f, 0.945801f, 0.945801f, 0.946289f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, - 0.000118f, 0.000137f, 0.000139f, 0.000241f, 0.000202f, 0.000304f, 0.000313f, 0.000332f, 0.000357f, 0.000420f, 0.000435f, 0.000463f, - 0.000645f, 0.000544f, 0.000700f, 0.000717f, 0.000669f, 0.000834f, 0.000865f, 0.000916f, 0.001109f, 0.001193f, 0.001246f, 0.001300f, - 0.001488f, 0.001538f, 0.001806f, 0.001929f, 0.002001f, 0.002462f, 0.002666f, 0.003260f, 0.003904f, 0.004364f, 0.005325f, 0.006306f, - 0.008041f, 0.009720f, 0.012718f, 0.016525f, 0.022217f, 0.030579f, 0.043854f, 0.065247f, 0.101929f, 0.166016f, 0.273193f, 0.428223f, - 0.600586f, 0.748047f, 0.936523f, 0.938477f, 0.938965f, 0.939453f, 0.938965f, 0.938965f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, - 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000114f, 0.000102f, 0.000090f, 0.000096f, 0.000131f, 0.000245f, 0.000276f, 0.000257f, - 0.000307f, 0.000316f, 0.000322f, 0.000373f, 0.000411f, 0.000440f, 0.000433f, 0.000650f, 0.000578f, 0.000704f, 0.000746f, 0.000723f, - 0.000819f, 0.000756f, 0.000758f, 0.000878f, 0.001009f, 0.001270f, 0.001399f, 0.001530f, 0.001798f, 0.001803f, 0.002151f, 0.002317f, - 0.002728f, 0.003222f, 0.003782f, 0.004612f, 0.005951f, 0.006985f, 0.009308f, 0.011955f, 0.016052f, 0.022324f, 0.031525f, 0.047272f, - 0.073853f, 0.122192f, 0.209717f, 0.352783f, 0.537109f, 0.709473f, 0.928223f, 0.930664f, 0.931152f, 0.930664f, 0.931641f, 0.931152f, - 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000111f, 0.000100f, 0.000139f, - 0.000082f, 0.000154f, 0.000121f, 0.000216f, 0.000147f, 0.000271f, 0.000288f, 0.000298f, 0.000386f, 0.000463f, 0.000370f, 0.000485f, - 0.000555f, 0.000530f, 0.000578f, 0.000574f, 0.000612f, 0.000712f, 0.000776f, 0.000716f, 0.000931f, 0.000831f, 0.000967f, 0.001154f, - 0.001176f, 0.001284f, 0.001497f, 0.001884f, 0.002270f, 0.002415f, 0.002947f, 0.003412f, 0.004032f, 0.005066f, 0.006485f, 0.008400f, - 0.011215f, 0.015404f, 0.022079f, 0.033264f, 0.052124f, 0.087646f, 0.155029f, 0.279297f, 0.465820f, 0.664062f, 0.918945f, 0.921387f, - 0.921875f, 0.922363f, 0.922363f, 0.921875f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, - 0.000118f, 0.000118f, 0.000110f, 0.000100f, 0.000091f, 0.000082f, 0.000075f, 0.000095f, 0.000166f, 0.000113f, 0.000163f, 0.000248f, - 0.000258f, 0.000277f, 0.000336f, 0.000301f, 0.000445f, 0.000495f, 0.000473f, 0.000505f, 0.000494f, 0.000470f, 0.000584f, 0.000752f, - 0.000821f, 0.000814f, 0.000845f, 0.000807f, 0.000932f, 0.000996f, 0.001380f, 0.001481f, 0.001507f, 0.001757f, 0.002146f, 0.002443f, - 0.002869f, 0.003546f, 0.004559f, 0.005878f, 0.007561f, 0.010475f, 0.015320f, 0.022675f, 0.036133f, 0.060883f, 0.110352f, 0.211670f, - 0.389160f, 0.610352f, 0.908691f, 0.909180f, 0.910645f, 0.912109f, 0.909668f, 0.910156f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, - 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000116f, 0.000110f, 0.000100f, 0.000099f, 0.000083f, 0.000077f, - 0.000071f, 0.000081f, 0.000087f, 0.000166f, 0.000177f, 0.000233f, 0.000238f, 0.000273f, 0.000325f, 0.000357f, 0.000292f, 0.000406f, - 0.000418f, 0.000440f, 0.000428f, 0.000568f, 0.000459f, 0.000628f, 0.000678f, 0.000688f, 0.000647f, 0.000830f, 0.000925f, 0.001111f, - 0.001011f, 0.001420f, 0.001504f, 0.001771f, 0.001997f, 0.002495f, 0.003147f, 0.003944f, 0.005077f, 0.006958f, 0.010040f, 0.015053f, - 0.023727f, 0.040680f, 0.075989f, 0.153076f, 0.312012f, 0.547363f, 0.894531f, 0.897461f, 0.897949f, 0.897949f, 0.897949f, 0.898438f, - 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, 0.000115f, 0.000115f, 0.000114f, 0.000114f, - 0.000111f, 0.000101f, 0.000093f, 0.000086f, 0.000079f, 0.000095f, 0.000095f, 0.000090f, 0.000117f, 0.000109f, 0.000158f, 0.000199f, - 0.000207f, 0.000223f, 0.000286f, 0.000288f, 0.000267f, 0.000347f, 0.000368f, 0.000450f, 0.000377f, 0.000460f, 0.000504f, 0.000498f, - 0.000494f, 0.000616f, 0.000632f, 0.000699f, 0.000755f, 0.000938f, 0.000978f, 0.001222f, 0.001355f, 0.001673f, 0.002016f, 0.002539f, - 0.003258f, 0.004410f, 0.006332f, 0.009285f, 0.014847f, 0.025864f, 0.049042f, 0.104736f, 0.236572f, 0.477295f, 0.879395f, 0.881348f, - 0.882324f, 0.881836f, 0.882324f, 0.882324f, 0.000000f, 0.000119f, 0.000118f, 0.000116f, 0.000115f, 0.000114f, 0.000114f, 0.000113f, - 0.000112f, 0.000112f, 0.000111f, 0.000111f, 0.000110f, 0.000110f, 0.000103f, 0.000095f, 0.000088f, 0.000081f, 0.000076f, 0.000070f, - 0.000065f, 0.000100f, 0.000104f, 0.000099f, 0.000120f, 0.000145f, 0.000190f, 0.000204f, 0.000213f, 0.000230f, 0.000241f, 0.000279f, - 0.000325f, 0.000322f, 0.000328f, 0.000381f, 0.000351f, 0.000466f, 0.000452f, 0.000516f, 0.000591f, 0.000622f, 0.000733f, 0.000882f, - 0.000895f, 0.001092f, 0.001456f, 0.001765f, 0.002069f, 0.002821f, 0.003851f, 0.005558f, 0.008865f, 0.015579f, 0.029999f, 0.066895f, - 0.167480f, 0.400391f, 0.860352f, 0.862793f, 0.863281f, 0.864258f, 0.863281f, 0.863770f, 0.000119f, 0.000114f, 0.000113f, 0.000113f, - 0.000111f, 0.000110f, 0.000109f, 0.000109f, 0.000108f, 0.000107f, 0.000107f, 0.000107f, 0.000106f, 0.000105f, 0.000106f, 0.000105f, - 0.000098f, 0.000090f, 0.000084f, 0.000078f, 0.000073f, 0.000068f, 0.000063f, 0.000063f, 0.000066f, 0.000053f, 0.000080f, 0.000107f, - 0.000126f, 0.000150f, 0.000188f, 0.000187f, 0.000206f, 0.000205f, 0.000235f, 0.000242f, 0.000277f, 0.000340f, 0.000323f, 0.000308f, - 0.000417f, 0.000411f, 0.000445f, 0.000536f, 0.000622f, 0.000673f, 0.000887f, 0.000985f, 0.001289f, 0.001623f, 0.002337f, 0.003241f, - 0.004929f, 0.008560f, 0.016739f, 0.039307f, 0.109619f, 0.317383f, 0.837402f, 0.840332f, 0.841309f, 0.840820f, 0.840820f, 0.841309f, - 0.000000f, 0.000106f, 0.000099f, 0.000104f, 0.000102f, 0.000101f, 0.000100f, 0.000101f, 0.000101f, 0.000100f, 0.000099f, 0.000100f, - 0.000099f, 0.000099f, 0.000099f, 0.000098f, 0.000098f, 0.000098f, 0.000093f, 0.000086f, 0.000080f, 0.000075f, 0.000070f, 0.000065f, - 0.000061f, 0.000057f, 0.000059f, 0.000054f, 0.000061f, 0.000080f, 0.000087f, 0.000101f, 0.000136f, 0.000147f, 0.000163f, 0.000171f, - 0.000179f, 0.000205f, 0.000223f, 0.000237f, 0.000281f, 0.000272f, 0.000299f, 0.000364f, 0.000373f, 0.000448f, 0.000507f, 0.000643f, - 0.000801f, 0.001000f, 0.001276f, 0.001765f, 0.002712f, 0.004585f, 0.008492f, 0.020462f, 0.063721f, 0.233643f, 0.811035f, 0.813477f, - 0.814453f, 0.813965f, 0.813965f, 0.814453f, 0.000000f, 0.000057f, 0.000085f, 0.000085f, 0.000083f, 0.000085f, 0.000087f, 0.000086f, - 0.000087f, 0.000087f, 0.000086f, 0.000087f, 0.000087f, 0.000086f, 0.000087f, 0.000087f, 0.000088f, 0.000086f, 0.000088f, 0.000087f, - 0.000087f, 0.000081f, 0.000076f, 0.000071f, 0.000067f, 0.000063f, 0.000058f, 0.000055f, 0.000051f, 0.000048f, 0.000046f, 0.000042f, - 0.000051f, 0.000063f, 0.000081f, 0.000101f, 0.000122f, 0.000137f, 0.000147f, 0.000143f, 0.000157f, 0.000183f, 0.000205f, 0.000188f, - 0.000196f, 0.000249f, 0.000310f, 0.000329f, 0.000413f, 0.000534f, 0.000679f, 0.000944f, 0.001365f, 0.002199f, 0.004150f, 0.009369f, - 0.031677f, 0.153564f, 0.779297f, 0.781250f, 0.782227f, 0.782715f, 0.781738f, 0.781250f, 0.000000f, 0.000000f, 0.000000f, 0.000009f, - 0.000030f, 0.000048f, 0.000051f, 0.000054f, 0.000055f, 0.000059f, 0.000060f, 0.000065f, 0.000065f, 0.000066f, 0.000068f, 0.000068f, - 0.000070f, 0.000070f, 0.000071f, 0.000071f, 0.000072f, 0.000073f, 0.000073f, 0.000073f, 0.000071f, 0.000066f, 0.000062f, 0.000058f, - 0.000055f, 0.000051f, 0.000048f, 0.000045f, 0.000042f, 0.000039f, 0.000044f, 0.000036f, 0.000046f, 0.000056f, 0.000067f, 0.000085f, - 0.000099f, 0.000108f, 0.000107f, 0.000113f, 0.000139f, 0.000144f, 0.000165f, 0.000169f, 0.000196f, 0.000266f, 0.000311f, 0.000426f, - 0.000598f, 0.000948f, 0.001744f, 0.003975f, 0.012856f, 0.084351f, 0.739746f, 0.743164f, 0.743652f, 0.743652f, 0.743652f, 0.743164f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, 0.000012f, 0.000020f, - 0.000028f, 0.000030f, 0.000033f, 0.000034f, 0.000041f, 0.000041f, 0.000045f, 0.000047f, 0.000048f, 0.000049f, 0.000051f, 0.000052f, - 0.000054f, 0.000054f, 0.000056f, 0.000057f, 0.000056f, 0.000052f, 0.000049f, 0.000046f, 0.000043f, 0.000041f, 0.000038f, 0.000035f, - 0.000033f, 0.000031f, 0.000029f, 0.000029f, 0.000036f, 0.000055f, 0.000048f, 0.000067f, 0.000067f, 0.000073f, 0.000075f, 0.000097f, - 0.000085f, 0.000111f, 0.000137f, 0.000191f, 0.000233f, 0.000371f, 0.000609f, 0.001319f, 0.004341f, 0.033844f, 0.696289f, 0.698730f, - 0.699219f, 0.698242f, 0.698730f, 0.698730f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000007f, - 0.000009f, 0.000012f, 0.000015f, 0.000020f, 0.000022f, 0.000023f, 0.000026f, 0.000029f, 0.000030f, 0.000032f, 0.000033f, 0.000035f, - 0.000037f, 0.000037f, 0.000036f, 0.000034f, 0.000032f, 0.000030f, 0.000028f, 0.000026f, 0.000024f, 0.000022f, 0.000021f, 0.000019f, - 0.000024f, 0.000024f, 0.000029f, 0.000037f, 0.000043f, 0.000046f, 0.000059f, 0.000058f, 0.000075f, 0.000095f, 0.000160f, 0.000306f, - 0.001006f, 0.008865f, 0.643066f, 0.647461f, 0.647949f, 0.647461f, 0.647949f, 0.648438f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000003f, 0.000005f, 0.000007f, 0.000010f, 0.000012f, 0.000013f, 0.000015f, 0.000017f, - 0.000019f, 0.000020f, 0.000018f, 0.000017f, 0.000015f, 0.000014f, 0.000013f, 0.000012f, 0.000010f, 0.000012f, 0.000014f, 0.000018f, - 0.000018f, 0.000025f, 0.000028f, 0.000045f, 0.000110f, 0.001030f, 0.586914f, 0.589844f, 0.590820f, 0.591309f, 0.591309f, 0.590820f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000002f, 0.000004f, 0.000005f, 0.000004f, 0.000004f, 0.000003f, 0.000003f, 0.000004f, 0.000009f, 0.527344f, 0.529785f, - 0.529785f, 0.530273f, 0.530762f, 0.530762f, - }, - { - 0.135132f, 0.377441f, 0.544434f, 0.653320f, 0.724609f, 0.773926f, 0.811035f, 0.838867f, 0.860840f, 0.876465f, 0.891113f, 0.902832f, - 0.912109f, 0.920898f, 0.928223f, 0.934082f, 0.938965f, 0.943848f, 0.948242f, 0.952637f, 0.955566f, 0.958984f, 0.961914f, 0.964844f, - 0.966797f, 0.969238f, 0.971191f, 0.973145f, 0.975098f, 0.976562f, 0.978027f, 0.979492f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, - 0.985840f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, - 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, - 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.044891f, 0.163330f, 0.306885f, 0.444336f, 0.559570f, 0.645020f, 0.710938f, 0.760742f, - 0.797852f, 0.827148f, 0.850098f, 0.868652f, 0.883789f, 0.895996f, 0.907227f, 0.916016f, 0.923340f, 0.930176f, 0.936523f, 0.941406f, - 0.946777f, 0.950684f, 0.954102f, 0.957031f, 0.960938f, 0.963379f, 0.965820f, 0.968262f, 0.970703f, 0.972168f, 0.974609f, 0.976562f, - 0.977539f, 0.979492f, 0.980469f, 0.981934f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.988770f, 0.990234f, - 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993164f, 0.994141f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, - 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.999023f, 0.999023f, 0.020325f, 0.077820f, 0.158936f, 0.260498f, - 0.372314f, 0.479736f, 0.572754f, 0.648438f, 0.707520f, 0.754883f, 0.791016f, 0.820312f, 0.843750f, 0.862793f, 0.878906f, 0.891602f, - 0.903320f, 0.912598f, 0.920898f, 0.928223f, 0.933594f, 0.939941f, 0.944824f, 0.949219f, 0.952637f, 0.956543f, 0.959961f, 0.962402f, - 0.965332f, 0.967773f, 0.970215f, 0.971680f, 0.974121f, 0.976074f, 0.977539f, 0.979004f, 0.980957f, 0.981445f, 0.983398f, 0.984375f, - 0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, - 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, - 0.012032f, 0.042908f, 0.088196f, 0.149292f, 0.228027f, 0.319824f, 0.415527f, 0.506348f, 0.586914f, 0.653809f, 0.709473f, 0.752441f, - 0.787598f, 0.817383f, 0.840820f, 0.860352f, 0.876465f, 0.889648f, 0.900879f, 0.910156f, 0.918945f, 0.926270f, 0.933105f, 0.938965f, - 0.944336f, 0.948730f, 0.952637f, 0.956055f, 0.958984f, 0.962402f, 0.965332f, 0.967773f, 0.970215f, 0.972656f, 0.974609f, 0.976562f, - 0.978027f, 0.979492f, 0.980957f, 0.982422f, 0.983887f, 0.984375f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, - 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, 0.998535f, 0.998535f, - 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.007637f, 0.026825f, 0.053436f, 0.090759f, 0.140137f, 0.203125f, 0.279053f, 0.363281f, - 0.449463f, 0.529785f, 0.601562f, 0.663574f, 0.713379f, 0.756348f, 0.789551f, 0.816895f, 0.840332f, 0.858887f, 0.875488f, 0.887695f, - 0.900391f, 0.909668f, 0.918945f, 0.926270f, 0.932617f, 0.938477f, 0.943848f, 0.948242f, 0.952148f, 0.955566f, 0.959473f, 0.962402f, - 0.965332f, 0.967773f, 0.970215f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979492f, 0.980957f, 0.981934f, 0.984375f, 0.985352f, - 0.985840f, 0.987793f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, - 0.996094f, 0.997070f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.004784f, 0.018082f, 0.035400f, 0.058868f, - 0.089783f, 0.130981f, 0.183716f, 0.248047f, 0.321289f, 0.400391f, 0.478760f, 0.552734f, 0.617188f, 0.673828f, 0.720703f, 0.759766f, - 0.792480f, 0.818359f, 0.840820f, 0.859863f, 0.875000f, 0.888184f, 0.899902f, 0.910645f, 0.918945f, 0.926270f, 0.931641f, 0.938965f, - 0.943848f, 0.948242f, 0.952148f, 0.957031f, 0.959473f, 0.962891f, 0.965332f, 0.968262f, 0.970215f, 0.972656f, 0.975098f, 0.977051f, - 0.978516f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.985352f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, - 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, - 0.004044f, 0.012550f, 0.024628f, 0.040466f, 0.060760f, 0.087708f, 0.122742f, 0.167236f, 0.222534f, 0.287109f, 0.358643f, 0.432617f, - 0.506348f, 0.573242f, 0.632812f, 0.685059f, 0.728516f, 0.766602f, 0.797363f, 0.822266f, 0.843750f, 0.861328f, 0.877441f, 0.890625f, - 0.901367f, 0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.940430f, 0.944824f, 0.948730f, 0.953125f, 0.957520f, 0.960449f, 0.963867f, - 0.966309f, 0.969238f, 0.970703f, 0.973633f, 0.976074f, 0.977539f, 0.979004f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986816f, - 0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.998047f, 0.998047f, - 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.002975f, 0.009315f, 0.017868f, 0.029129f, 0.043243f, 0.062012f, 0.084961f, 0.115540f, - 0.154419f, 0.201660f, 0.257812f, 0.322754f, 0.391846f, 0.463135f, 0.530762f, 0.594727f, 0.650391f, 0.698730f, 0.739258f, 0.773926f, - 0.803711f, 0.826660f, 0.847656f, 0.865723f, 0.879883f, 0.892090f, 0.903809f, 0.913086f, 0.921387f, 0.928223f, 0.935059f, 0.940918f, - 0.945801f, 0.950684f, 0.954102f, 0.958008f, 0.961426f, 0.964844f, 0.967285f, 0.970215f, 0.972168f, 0.974609f, 0.976074f, 0.978027f, - 0.979980f, 0.981934f, 0.983398f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, - 0.993652f, 0.994629f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.997559f, 0.997559f, 0.002329f, 0.007256f, 0.013611f, 0.021790f, - 0.032043f, 0.044617f, 0.061554f, 0.082336f, 0.108765f, 0.142578f, 0.184448f, 0.234375f, 0.292725f, 0.357422f, 0.424805f, 0.493164f, - 0.556641f, 0.615723f, 0.666504f, 0.711914f, 0.750977f, 0.782715f, 0.809570f, 0.832520f, 0.853516f, 0.868652f, 0.882812f, 0.895508f, - 0.905762f, 0.916016f, 0.923340f, 0.931152f, 0.936523f, 0.942383f, 0.947266f, 0.951172f, 0.956055f, 0.958984f, 0.962402f, 0.965820f, - 0.968750f, 0.971191f, 0.973633f, 0.975586f, 0.977539f, 0.979980f, 0.980957f, 0.982422f, 0.983887f, 0.985352f, 0.985840f, 0.988281f, - 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.993164f, 0.993652f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, - 0.001871f, 0.006084f, 0.010963f, 0.016953f, 0.024277f, 0.033722f, 0.046234f, 0.060669f, 0.079224f, 0.103638f, 0.132812f, 0.169678f, - 0.214478f, 0.267090f, 0.326172f, 0.390137f, 0.456543f, 0.519531f, 0.581543f, 0.636230f, 0.685547f, 0.726562f, 0.762207f, 0.792969f, - 0.818359f, 0.839844f, 0.858398f, 0.874023f, 0.887695f, 0.898926f, 0.909668f, 0.918945f, 0.926270f, 0.933105f, 0.938965f, 0.944336f, - 0.949219f, 0.953613f, 0.958008f, 0.961426f, 0.964844f, 0.967773f, 0.969727f, 0.972168f, 0.974609f, 0.976074f, 0.979004f, 0.979980f, - 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.989746f, 0.989746f, 0.990723f, 0.991211f, 0.992676f, 0.996582f, 0.997070f, - 0.997559f, 0.997070f, 0.997070f, 0.997070f, 0.001322f, 0.004795f, 0.008530f, 0.013504f, 0.018921f, 0.026154f, 0.035065f, 0.045807f, - 0.059662f, 0.076416f, 0.098267f, 0.124512f, 0.157715f, 0.197388f, 0.244873f, 0.299805f, 0.359619f, 0.423096f, 0.487549f, 0.549316f, - 0.605957f, 0.657715f, 0.703125f, 0.741211f, 0.774902f, 0.802734f, 0.827148f, 0.847656f, 0.865234f, 0.879883f, 0.893066f, 0.903320f, - 0.913086f, 0.920898f, 0.929199f, 0.935547f, 0.941406f, 0.947266f, 0.951172f, 0.956055f, 0.959473f, 0.962891f, 0.965332f, 0.969238f, - 0.971191f, 0.974121f, 0.976562f, 0.977539f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.988281f, 0.988281f, 0.989746f, - 0.990723f, 0.991699f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.996582f, 0.001077f, 0.003971f, 0.006985f, 0.010750f, - 0.015579f, 0.020920f, 0.027420f, 0.035522f, 0.045776f, 0.058228f, 0.074097f, 0.093140f, 0.117310f, 0.146851f, 0.182495f, 0.225952f, - 0.276611f, 0.332764f, 0.394287f, 0.456543f, 0.518555f, 0.577637f, 0.630371f, 0.679199f, 0.720703f, 0.756836f, 0.787598f, 0.813477f, - 0.836426f, 0.855469f, 0.872070f, 0.885742f, 0.897949f, 0.908203f, 0.917480f, 0.925293f, 0.933105f, 0.939453f, 0.944336f, 0.949219f, - 0.954590f, 0.957520f, 0.961426f, 0.964844f, 0.968262f, 0.970703f, 0.974121f, 0.975586f, 0.978027f, 0.979492f, 0.981445f, 0.983398f, - 0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.991211f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, - 0.000954f, 0.003330f, 0.005733f, 0.008904f, 0.012505f, 0.016617f, 0.022446f, 0.028351f, 0.036041f, 0.045807f, 0.056854f, 0.071350f, - 0.088867f, 0.110596f, 0.137451f, 0.170654f, 0.209717f, 0.256592f, 0.309326f, 0.366943f, 0.427979f, 0.489502f, 0.549316f, 0.604980f, - 0.655762f, 0.700195f, 0.738770f, 0.772461f, 0.801270f, 0.825195f, 0.845703f, 0.864258f, 0.879395f, 0.893066f, 0.903809f, 0.914062f, - 0.922363f, 0.929688f, 0.936523f, 0.942871f, 0.947266f, 0.952148f, 0.956055f, 0.960449f, 0.963867f, 0.966797f, 0.969727f, 0.972656f, - 0.975586f, 0.976562f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.000949f, 0.002804f, 0.004730f, 0.007236f, 0.010384f, 0.014160f, 0.018478f, 0.023102f, - 0.028992f, 0.036346f, 0.044647f, 0.055542f, 0.068481f, 0.085144f, 0.105286f, 0.130005f, 0.159668f, 0.195557f, 0.238647f, 0.287842f, - 0.343018f, 0.402588f, 0.463135f, 0.522949f, 0.580566f, 0.632812f, 0.680664f, 0.721680f, 0.757812f, 0.788574f, 0.814453f, 0.836914f, - 0.856934f, 0.872070f, 0.887207f, 0.899414f, 0.909668f, 0.918945f, 0.926758f, 0.933594f, 0.940430f, 0.946289f, 0.950684f, 0.954590f, - 0.959473f, 0.963379f, 0.966797f, 0.969238f, 0.972168f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, 0.984375f, 0.986328f, - 0.987793f, 0.988770f, 0.995117f, 0.996094f, 0.995605f, 0.996094f, 0.996094f, 0.995605f, 0.000828f, 0.002361f, 0.004116f, 0.006119f, - 0.008797f, 0.011391f, 0.014854f, 0.018890f, 0.023666f, 0.029083f, 0.036011f, 0.044434f, 0.053986f, 0.066589f, 0.081543f, 0.100159f, - 0.122314f, 0.149536f, 0.183350f, 0.222900f, 0.269043f, 0.321533f, 0.378418f, 0.438477f, 0.499023f, 0.556641f, 0.611328f, 0.661133f, - 0.703613f, 0.742188f, 0.775391f, 0.804199f, 0.828613f, 0.849121f, 0.866211f, 0.881348f, 0.894043f, 0.905762f, 0.916016f, 0.924316f, - 0.931641f, 0.938477f, 0.944336f, 0.949707f, 0.954590f, 0.958496f, 0.962402f, 0.966309f, 0.969238f, 0.972168f, 0.974121f, 0.977051f, - 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.985840f, 0.987793f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, - 0.000606f, 0.001948f, 0.003483f, 0.005394f, 0.007290f, 0.009735f, 0.012352f, 0.015747f, 0.019485f, 0.023788f, 0.029358f, 0.035706f, - 0.043732f, 0.053162f, 0.064331f, 0.077942f, 0.094971f, 0.116089f, 0.140991f, 0.172485f, 0.209473f, 0.252686f, 0.302002f, 0.356934f, - 0.415283f, 0.475830f, 0.534180f, 0.589844f, 0.641602f, 0.687500f, 0.728516f, 0.763184f, 0.792969f, 0.819336f, 0.841309f, 0.860840f, - 0.876953f, 0.890625f, 0.902344f, 0.913086f, 0.921875f, 0.930176f, 0.937012f, 0.943359f, 0.948242f, 0.954102f, 0.958008f, 0.961914f, - 0.965820f, 0.969238f, 0.971680f, 0.974609f, 0.977051f, 0.979004f, 0.981445f, 0.983398f, 0.984863f, 0.986816f, 0.994141f, 0.994629f, - 0.995117f, 0.995117f, 0.995117f, 0.994629f, 0.000672f, 0.001569f, 0.002895f, 0.004528f, 0.006180f, 0.008324f, 0.010864f, 0.013161f, - 0.016357f, 0.020096f, 0.024216f, 0.029327f, 0.035583f, 0.042664f, 0.051453f, 0.062073f, 0.075012f, 0.091125f, 0.110291f, 0.134155f, - 0.162476f, 0.197266f, 0.238037f, 0.285156f, 0.337646f, 0.395020f, 0.454590f, 0.513672f, 0.570312f, 0.624023f, 0.672363f, 0.714844f, - 0.750977f, 0.783691f, 0.811035f, 0.834473f, 0.854004f, 0.872070f, 0.886230f, 0.899414f, 0.911133f, 0.918945f, 0.928223f, 0.936035f, - 0.942871f, 0.948242f, 0.953613f, 0.957031f, 0.961426f, 0.965820f, 0.968750f, 0.972168f, 0.974121f, 0.976562f, 0.979492f, 0.981445f, - 0.983398f, 0.985352f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, 0.000413f, 0.001430f, 0.002577f, 0.004269f, - 0.005703f, 0.007137f, 0.008888f, 0.011124f, 0.013885f, 0.016891f, 0.020355f, 0.024384f, 0.029221f, 0.035217f, 0.041748f, 0.049988f, - 0.060059f, 0.072083f, 0.086914f, 0.105286f, 0.126953f, 0.154175f, 0.186523f, 0.224731f, 0.269287f, 0.320557f, 0.375732f, 0.434570f, - 0.493896f, 0.552246f, 0.606934f, 0.655762f, 0.701660f, 0.740723f, 0.774902f, 0.803711f, 0.827637f, 0.848633f, 0.867188f, 0.882812f, - 0.895996f, 0.908203f, 0.917969f, 0.926758f, 0.934570f, 0.941895f, 0.947266f, 0.952637f, 0.957520f, 0.960938f, 0.965820f, 0.968750f, - 0.971680f, 0.974609f, 0.977051f, 0.979980f, 0.981934f, 0.983887f, 0.993652f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, - 0.000240f, 0.001406f, 0.002373f, 0.003283f, 0.004620f, 0.006264f, 0.007744f, 0.009552f, 0.011711f, 0.014069f, 0.017273f, 0.020584f, - 0.024429f, 0.028946f, 0.034393f, 0.041046f, 0.048798f, 0.058289f, 0.070312f, 0.083618f, 0.100403f, 0.121338f, 0.146118f, 0.177002f, - 0.213257f, 0.255371f, 0.304443f, 0.358887f, 0.416504f, 0.476562f, 0.534668f, 0.590332f, 0.642090f, 0.688965f, 0.729492f, 0.766113f, - 0.796387f, 0.822754f, 0.844727f, 0.862305f, 0.880371f, 0.894043f, 0.905762f, 0.916992f, 0.926270f, 0.934082f, 0.940918f, 0.946777f, - 0.953125f, 0.956543f, 0.961426f, 0.964844f, 0.969238f, 0.972656f, 0.974609f, 0.977539f, 0.979980f, 0.982422f, 0.992676f, 0.994141f, - 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.000242f, 0.001257f, 0.001991f, 0.003138f, 0.004299f, 0.005302f, 0.006584f, 0.008308f, - 0.010048f, 0.012283f, 0.014526f, 0.017578f, 0.020340f, 0.023972f, 0.028671f, 0.033661f, 0.040161f, 0.047821f, 0.056213f, 0.067261f, - 0.080444f, 0.096191f, 0.115784f, 0.139771f, 0.168457f, 0.203125f, 0.243286f, 0.290527f, 0.343506f, 0.400879f, 0.459473f, 0.519043f, - 0.576172f, 0.629395f, 0.678223f, 0.721191f, 0.757324f, 0.789062f, 0.816895f, 0.839844f, 0.859863f, 0.877930f, 0.892578f, 0.904297f, - 0.915527f, 0.925293f, 0.933105f, 0.940430f, 0.946777f, 0.952148f, 0.957031f, 0.961914f, 0.965820f, 0.969238f, 0.973145f, 0.975586f, - 0.978516f, 0.980469f, 0.992188f, 0.993652f, 0.993164f, 0.993164f, 0.993652f, 0.993164f, 0.000434f, 0.001172f, 0.001865f, 0.002825f, - 0.003633f, 0.004757f, 0.005722f, 0.007175f, 0.009010f, 0.010651f, 0.012520f, 0.014412f, 0.017532f, 0.020599f, 0.024139f, 0.028488f, - 0.033356f, 0.039001f, 0.046295f, 0.054749f, 0.064758f, 0.077209f, 0.092834f, 0.111084f, 0.134033f, 0.160767f, 0.193604f, 0.233032f, - 0.278320f, 0.329590f, 0.386230f, 0.445068f, 0.504395f, 0.563477f, 0.617188f, 0.666504f, 0.711426f, 0.750000f, 0.783691f, 0.812500f, - 0.836426f, 0.857422f, 0.875488f, 0.891113f, 0.903809f, 0.915039f, 0.924805f, 0.933105f, 0.940430f, 0.947266f, 0.953125f, 0.958496f, - 0.962402f, 0.966309f, 0.969727f, 0.973145f, 0.976562f, 0.978516f, 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, - 0.000358f, 0.000835f, 0.001738f, 0.002270f, 0.002996f, 0.004078f, 0.005157f, 0.006416f, 0.007904f, 0.009331f, 0.010826f, 0.012245f, - 0.014938f, 0.017303f, 0.020233f, 0.023926f, 0.027954f, 0.032715f, 0.038147f, 0.045166f, 0.053070f, 0.062561f, 0.074768f, 0.089661f, - 0.106689f, 0.128052f, 0.154175f, 0.185547f, 0.223022f, 0.266846f, 0.317383f, 0.373047f, 0.431152f, 0.491943f, 0.550293f, 0.606445f, - 0.658203f, 0.704102f, 0.744141f, 0.779297f, 0.809082f, 0.833984f, 0.855957f, 0.875000f, 0.889648f, 0.903320f, 0.915039f, 0.924805f, - 0.933594f, 0.940918f, 0.947754f, 0.954102f, 0.958984f, 0.962402f, 0.966797f, 0.970703f, 0.974121f, 0.977539f, 0.990723f, 0.992188f, - 0.992676f, 0.992676f, 0.992188f, 0.992676f, 0.000428f, 0.000789f, 0.001460f, 0.002172f, 0.002695f, 0.003561f, 0.004608f, 0.005848f, - 0.006886f, 0.007736f, 0.009560f, 0.011078f, 0.012817f, 0.015015f, 0.017563f, 0.020157f, 0.023666f, 0.027145f, 0.031891f, 0.037384f, - 0.044189f, 0.051788f, 0.061188f, 0.072327f, 0.085999f, 0.102966f, 0.123413f, 0.148071f, 0.178101f, 0.214478f, 0.256836f, 0.306396f, - 0.360840f, 0.419678f, 0.479736f, 0.540527f, 0.597656f, 0.649902f, 0.697754f, 0.738770f, 0.775391f, 0.805664f, 0.831543f, 0.854004f, - 0.873535f, 0.889160f, 0.902832f, 0.915039f, 0.925293f, 0.934082f, 0.941895f, 0.948730f, 0.954102f, 0.959961f, 0.963867f, 0.968262f, - 0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.991699f, 0.991699f, 0.991211f, 0.000237f, 0.000782f, 0.001245f, 0.001923f, - 0.002417f, 0.003225f, 0.004101f, 0.005062f, 0.005920f, 0.007030f, 0.008102f, 0.009743f, 0.011009f, 0.013054f, 0.015190f, 0.017380f, - 0.020126f, 0.023346f, 0.027161f, 0.031464f, 0.036316f, 0.042664f, 0.050110f, 0.058807f, 0.069946f, 0.083191f, 0.099121f, 0.118835f, - 0.142822f, 0.171997f, 0.206665f, 0.248413f, 0.296143f, 0.350586f, 0.408936f, 0.469727f, 0.530762f, 0.589844f, 0.643555f, 0.691895f, - 0.734375f, 0.772461f, 0.803223f, 0.830566f, 0.854492f, 0.873047f, 0.889648f, 0.903809f, 0.916016f, 0.926270f, 0.935059f, 0.943359f, - 0.949219f, 0.955566f, 0.960938f, 0.965332f, 0.969727f, 0.973145f, 0.989746f, 0.990723f, 0.990723f, 0.990723f, 0.991211f, 0.990723f, - 0.000243f, 0.000793f, 0.001210f, 0.001616f, 0.002260f, 0.003069f, 0.003649f, 0.004444f, 0.005322f, 0.006088f, 0.006954f, 0.008278f, - 0.009766f, 0.011139f, 0.012970f, 0.014908f, 0.016968f, 0.019897f, 0.023193f, 0.026962f, 0.030792f, 0.035522f, 0.041931f, 0.048920f, - 0.057404f, 0.067993f, 0.080383f, 0.095825f, 0.114929f, 0.137695f, 0.165771f, 0.199585f, 0.241089f, 0.287842f, 0.341553f, 0.400391f, - 0.462402f, 0.523438f, 0.583008f, 0.638184f, 0.687988f, 0.732422f, 0.770020f, 0.802246f, 0.830566f, 0.854004f, 0.873047f, 0.891113f, - 0.904785f, 0.916992f, 0.926758f, 0.936523f, 0.943848f, 0.951172f, 0.956543f, 0.961914f, 0.966797f, 0.971191f, 0.989258f, 0.990234f, - 0.990234f, 0.990234f, 0.990234f, 0.989746f, 0.000000f, 0.000484f, 0.000973f, 0.001453f, 0.001999f, 0.002689f, 0.003359f, 0.003864f, - 0.004726f, 0.005444f, 0.006516f, 0.007404f, 0.008461f, 0.009720f, 0.011261f, 0.012985f, 0.014908f, 0.017120f, 0.019699f, 0.022614f, - 0.026093f, 0.030228f, 0.034668f, 0.040619f, 0.047699f, 0.055756f, 0.066284f, 0.078308f, 0.092834f, 0.111328f, 0.133423f, 0.160889f, - 0.194214f, 0.233765f, 0.281006f, 0.334473f, 0.392822f, 0.455078f, 0.517090f, 0.578125f, 0.634766f, 0.686035f, 0.730957f, 0.768555f, - 0.803223f, 0.831055f, 0.854492f, 0.875488f, 0.892090f, 0.906250f, 0.918457f, 0.929688f, 0.937988f, 0.945801f, 0.952148f, 0.958496f, - 0.963867f, 0.968750f, 0.988281f, 0.989258f, 0.989746f, 0.989258f, 0.989746f, 0.989258f, 0.000241f, 0.000699f, 0.000835f, 0.001354f, - 0.002066f, 0.002405f, 0.003073f, 0.003466f, 0.003847f, 0.004868f, 0.005798f, 0.006325f, 0.007446f, 0.008553f, 0.009789f, 0.011375f, - 0.013031f, 0.014702f, 0.016937f, 0.019455f, 0.022171f, 0.025467f, 0.029541f, 0.034271f, 0.039734f, 0.046295f, 0.054291f, 0.063904f, - 0.075745f, 0.089966f, 0.107727f, 0.129395f, 0.156250f, 0.188965f, 0.228394f, 0.274658f, 0.327637f, 0.386963f, 0.449219f, 0.512695f, - 0.574707f, 0.632324f, 0.684570f, 0.730469f, 0.770508f, 0.804688f, 0.832520f, 0.857422f, 0.876953f, 0.893066f, 0.908691f, 0.920410f, - 0.931152f, 0.940430f, 0.947754f, 0.954590f, 0.960938f, 0.965820f, 0.986816f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, - 0.000122f, 0.000480f, 0.000793f, 0.001184f, 0.001847f, 0.002220f, 0.002459f, 0.003109f, 0.003740f, 0.004234f, 0.005127f, 0.005730f, - 0.006557f, 0.007458f, 0.008469f, 0.009911f, 0.011162f, 0.012848f, 0.014519f, 0.016693f, 0.019135f, 0.021820f, 0.025024f, 0.028931f, - 0.033508f, 0.038757f, 0.045135f, 0.052856f, 0.062042f, 0.073547f, 0.087646f, 0.104736f, 0.126099f, 0.152588f, 0.184570f, 0.223511f, - 0.269775f, 0.323242f, 0.382324f, 0.445801f, 0.510254f, 0.573242f, 0.631348f, 0.685059f, 0.731934f, 0.772461f, 0.806641f, 0.834961f, - 0.859375f, 0.879883f, 0.897461f, 0.911133f, 0.923828f, 0.933594f, 0.942383f, 0.950195f, 0.956055f, 0.962402f, 0.985840f, 0.987305f, - 0.987793f, 0.987793f, 0.988281f, 0.987793f, 0.000244f, 0.000471f, 0.000666f, 0.001267f, 0.001592f, 0.001838f, 0.002251f, 0.002855f, - 0.003225f, 0.003828f, 0.004372f, 0.005112f, 0.005695f, 0.006340f, 0.007534f, 0.008797f, 0.009895f, 0.011215f, 0.012604f, 0.014503f, - 0.016602f, 0.018738f, 0.021408f, 0.024567f, 0.028305f, 0.032654f, 0.037872f, 0.043732f, 0.051239f, 0.060669f, 0.071716f, 0.085510f, - 0.102356f, 0.123230f, 0.149170f, 0.180664f, 0.219849f, 0.265869f, 0.319092f, 0.379150f, 0.443604f, 0.508789f, 0.572754f, 0.633301f, - 0.686523f, 0.734863f, 0.775391f, 0.809570f, 0.838379f, 0.862305f, 0.883301f, 0.900391f, 0.914551f, 0.926270f, 0.937012f, 0.944824f, - 0.953125f, 0.959473f, 0.985352f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.000242f, 0.000346f, 0.000827f, 0.001065f, - 0.001428f, 0.001572f, 0.001984f, 0.002367f, 0.002851f, 0.003277f, 0.003786f, 0.004501f, 0.005253f, 0.005955f, 0.006573f, 0.007736f, - 0.008659f, 0.009880f, 0.011177f, 0.012459f, 0.014153f, 0.016403f, 0.018173f, 0.020859f, 0.024017f, 0.027496f, 0.031708f, 0.036682f, - 0.042877f, 0.050446f, 0.059174f, 0.070068f, 0.083374f, 0.100159f, 0.120728f, 0.145874f, 0.177612f, 0.216187f, 0.262695f, 0.316650f, - 0.377686f, 0.443115f, 0.509766f, 0.575195f, 0.635742f, 0.691406f, 0.738281f, 0.779785f, 0.813965f, 0.843750f, 0.866699f, 0.887207f, - 0.904297f, 0.918945f, 0.930176f, 0.940918f, 0.948730f, 0.956055f, 0.984375f, 0.985840f, 0.985840f, 0.985840f, 0.986328f, 0.985840f, - 0.000242f, 0.000540f, 0.000708f, 0.000830f, 0.001143f, 0.001451f, 0.001861f, 0.002249f, 0.002661f, 0.003010f, 0.003435f, 0.003922f, - 0.004707f, 0.005165f, 0.005787f, 0.006840f, 0.007374f, 0.008545f, 0.009651f, 0.011147f, 0.012581f, 0.014084f, 0.015991f, 0.017899f, - 0.020325f, 0.023392f, 0.026978f, 0.031113f, 0.035919f, 0.042023f, 0.049103f, 0.057831f, 0.068420f, 0.081543f, 0.098145f, 0.118530f, - 0.143921f, 0.175293f, 0.213989f, 0.260742f, 0.316162f, 0.377441f, 0.444336f, 0.512207f, 0.579590f, 0.641113f, 0.696289f, 0.744629f, - 0.786621f, 0.820801f, 0.849609f, 0.872559f, 0.892578f, 0.908691f, 0.922363f, 0.934570f, 0.944336f, 0.951660f, 0.982910f, 0.984375f, - 0.984863f, 0.984863f, 0.985352f, 0.984863f, 0.000106f, 0.000477f, 0.000649f, 0.000901f, 0.001110f, 0.001206f, 0.001630f, 0.002121f, - 0.002192f, 0.002743f, 0.003128f, 0.003538f, 0.003941f, 0.004688f, 0.005276f, 0.005905f, 0.006546f, 0.007568f, 0.008461f, 0.009483f, - 0.010674f, 0.011864f, 0.013649f, 0.015549f, 0.017731f, 0.020111f, 0.023010f, 0.026199f, 0.030304f, 0.035278f, 0.040833f, 0.047821f, - 0.056580f, 0.066895f, 0.079895f, 0.096191f, 0.116760f, 0.141968f, 0.173584f, 0.212646f, 0.260498f, 0.316162f, 0.379883f, 0.447754f, - 0.517578f, 0.584961f, 0.647949f, 0.704102f, 0.752930f, 0.792969f, 0.827148f, 0.855957f, 0.877930f, 0.898438f, 0.914062f, 0.928223f, - 0.938965f, 0.948242f, 0.981445f, 0.983398f, 0.983887f, 0.983887f, 0.983887f, 0.983398f, 0.000208f, 0.000456f, 0.000582f, 0.000788f, - 0.001016f, 0.001428f, 0.001507f, 0.001769f, 0.002203f, 0.002525f, 0.002718f, 0.003187f, 0.003761f, 0.004238f, 0.004635f, 0.005348f, - 0.005901f, 0.006805f, 0.007500f, 0.008545f, 0.009270f, 0.010437f, 0.011742f, 0.013344f, 0.015198f, 0.017242f, 0.019516f, 0.022430f, - 0.025665f, 0.029922f, 0.034180f, 0.040161f, 0.046936f, 0.055420f, 0.065735f, 0.078552f, 0.094666f, 0.114563f, 0.140503f, 0.172485f, - 0.212646f, 0.260986f, 0.318359f, 0.383545f, 0.453125f, 0.524414f, 0.593750f, 0.656738f, 0.712891f, 0.761230f, 0.801270f, 0.835938f, - 0.862305f, 0.885742f, 0.904785f, 0.919922f, 0.933594f, 0.943359f, 0.980469f, 0.982422f, 0.982422f, 0.981934f, 0.982422f, 0.982422f, - 0.000170f, 0.000350f, 0.000583f, 0.000682f, 0.000845f, 0.001036f, 0.001265f, 0.001821f, 0.001953f, 0.002163f, 0.002525f, 0.002771f, - 0.003418f, 0.003729f, 0.004040f, 0.004871f, 0.005188f, 0.005726f, 0.006512f, 0.007130f, 0.008087f, 0.009018f, 0.010216f, 0.011490f, - 0.013084f, 0.014565f, 0.016891f, 0.019073f, 0.021851f, 0.025253f, 0.029022f, 0.033539f, 0.039124f, 0.045563f, 0.054230f, 0.064270f, - 0.077271f, 0.093323f, 0.113403f, 0.139648f, 0.172485f, 0.213379f, 0.262939f, 0.322266f, 0.389404f, 0.461426f, 0.534180f, 0.604492f, - 0.668457f, 0.724609f, 0.772461f, 0.812500f, 0.845703f, 0.872070f, 0.894043f, 0.911621f, 0.926758f, 0.938477f, 0.979004f, 0.980469f, - 0.980957f, 0.980957f, 0.980957f, 0.980957f, 0.000000f, 0.000332f, 0.000583f, 0.000583f, 0.000848f, 0.000959f, 0.001125f, 0.001425f, - 0.001810f, 0.001899f, 0.002300f, 0.002529f, 0.002996f, 0.003162f, 0.003607f, 0.004150f, 0.004761f, 0.005146f, 0.005791f, 0.006329f, - 0.007099f, 0.008110f, 0.008949f, 0.009941f, 0.011253f, 0.012756f, 0.014565f, 0.016434f, 0.018707f, 0.021271f, 0.024475f, 0.028290f, - 0.032745f, 0.037964f, 0.044769f, 0.052795f, 0.063416f, 0.076050f, 0.092102f, 0.113464f, 0.139526f, 0.172974f, 0.214600f, 0.266602f, - 0.327637f, 0.397461f, 0.471191f, 0.546387f, 0.617188f, 0.682129f, 0.737793f, 0.784668f, 0.823730f, 0.854980f, 0.881348f, 0.902344f, - 0.918945f, 0.933105f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, 0.000000f, 0.000243f, 0.000553f, 0.000575f, - 0.000591f, 0.000798f, 0.000991f, 0.001234f, 0.001419f, 0.001812f, 0.001935f, 0.002186f, 0.002518f, 0.002975f, 0.003202f, 0.003614f, - 0.004047f, 0.004425f, 0.005013f, 0.005718f, 0.006172f, 0.007046f, 0.007740f, 0.008835f, 0.009819f, 0.011192f, 0.012444f, 0.014114f, - 0.015884f, 0.018204f, 0.020844f, 0.023392f, 0.027420f, 0.031921f, 0.037170f, 0.043610f, 0.052032f, 0.062408f, 0.075256f, 0.091675f, - 0.112610f, 0.140015f, 0.173950f, 0.217651f, 0.271973f, 0.335693f, 0.407715f, 0.484619f, 0.561035f, 0.633789f, 0.698242f, 0.752930f, - 0.798828f, 0.836426f, 0.867676f, 0.891602f, 0.911621f, 0.926270f, 0.975098f, 0.977539f, 0.978516f, 0.977539f, 0.977539f, 0.978027f, - 0.000121f, 0.000121f, 0.000241f, 0.000385f, 0.000684f, 0.000693f, 0.000932f, 0.001156f, 0.001410f, 0.001648f, 0.001893f, 0.002184f, - 0.002367f, 0.002579f, 0.002872f, 0.003319f, 0.003653f, 0.003922f, 0.004425f, 0.004925f, 0.005436f, 0.006180f, 0.006836f, 0.007645f, - 0.008278f, 0.009476f, 0.010788f, 0.012169f, 0.013695f, 0.015305f, 0.017319f, 0.020111f, 0.022858f, 0.026718f, 0.030975f, 0.036255f, - 0.042938f, 0.051270f, 0.061493f, 0.074768f, 0.091187f, 0.112976f, 0.140747f, 0.176392f, 0.222168f, 0.278809f, 0.345703f, 0.421387f, - 0.500488f, 0.578613f, 0.651855f, 0.715820f, 0.769531f, 0.813965f, 0.850586f, 0.878418f, 0.901855f, 0.920410f, 0.973633f, 0.975586f, - 0.976074f, 0.976562f, 0.976562f, 0.975098f, 0.000240f, 0.000120f, 0.000281f, 0.000333f, 0.000498f, 0.000680f, 0.000684f, 0.001083f, - 0.001312f, 0.001618f, 0.001606f, 0.001834f, 0.002087f, 0.002316f, 0.002735f, 0.002792f, 0.003084f, 0.003386f, 0.003944f, 0.004353f, - 0.004761f, 0.005390f, 0.005997f, 0.006615f, 0.007389f, 0.008324f, 0.008987f, 0.010284f, 0.011703f, 0.013382f, 0.014717f, 0.016953f, - 0.019424f, 0.022278f, 0.026047f, 0.030029f, 0.035492f, 0.042145f, 0.050446f, 0.060608f, 0.073975f, 0.091187f, 0.113831f, 0.142700f, - 0.180176f, 0.228271f, 0.288086f, 0.359131f, 0.437988f, 0.519531f, 0.600098f, 0.673340f, 0.735352f, 0.787598f, 0.830566f, 0.865234f, - 0.891602f, 0.913086f, 0.971680f, 0.974121f, 0.974121f, 0.974121f, 0.974121f, 0.974609f, 0.000000f, 0.000239f, 0.000236f, 0.000425f, - 0.000487f, 0.000608f, 0.000850f, 0.001012f, 0.001140f, 0.001260f, 0.001410f, 0.001640f, 0.001953f, 0.002003f, 0.002342f, 0.002434f, - 0.002686f, 0.002934f, 0.003305f, 0.003771f, 0.004169f, 0.004692f, 0.005028f, 0.005817f, 0.006371f, 0.007179f, 0.007919f, 0.008965f, - 0.009857f, 0.011261f, 0.012703f, 0.014229f, 0.016312f, 0.018494f, 0.021744f, 0.025024f, 0.029633f, 0.034790f, 0.041199f, 0.049561f, - 0.060242f, 0.073608f, 0.091675f, 0.114502f, 0.144897f, 0.185547f, 0.236328f, 0.300049f, 0.375732f, 0.458496f, 0.542969f, 0.624023f, - 0.696289f, 0.758301f, 0.808105f, 0.847656f, 0.879395f, 0.903809f, 0.968750f, 0.971191f, 0.972168f, 0.971680f, 0.972168f, 0.971680f, - 0.000000f, 0.000217f, 0.000235f, 0.000235f, 0.000321f, 0.000560f, 0.000588f, 0.000897f, 0.001034f, 0.001040f, 0.001246f, 0.001369f, - 0.001611f, 0.001692f, 0.001942f, 0.002153f, 0.002337f, 0.002638f, 0.002878f, 0.003330f, 0.003672f, 0.003986f, 0.004498f, 0.004826f, - 0.005535f, 0.006176f, 0.006561f, 0.007538f, 0.008362f, 0.009544f, 0.010612f, 0.011879f, 0.013794f, 0.015839f, 0.018326f, 0.020889f, - 0.024567f, 0.028625f, 0.033783f, 0.040527f, 0.049133f, 0.059998f, 0.073608f, 0.092041f, 0.116394f, 0.148682f, 0.191528f, 0.246582f, - 0.315186f, 0.395508f, 0.482910f, 0.570312f, 0.651367f, 0.722168f, 0.781738f, 0.828613f, 0.866211f, 0.895508f, 0.966797f, 0.968750f, - 0.969238f, 0.969727f, 0.969238f, 0.969238f, 0.000000f, 0.000108f, 0.000215f, 0.000346f, 0.000352f, 0.000501f, 0.000783f, 0.000828f, - 0.000954f, 0.000980f, 0.001130f, 0.001353f, 0.001429f, 0.001522f, 0.001690f, 0.001760f, 0.002172f, 0.002363f, 0.002522f, 0.002777f, - 0.003202f, 0.003550f, 0.004040f, 0.004364f, 0.004734f, 0.005192f, 0.005909f, 0.006271f, 0.007015f, 0.007957f, 0.008774f, 0.010185f, - 0.011681f, 0.013306f, 0.015327f, 0.017517f, 0.020264f, 0.023636f, 0.027740f, 0.033234f, 0.039856f, 0.048340f, 0.059387f, 0.074097f, - 0.093567f, 0.118896f, 0.153931f, 0.200073f, 0.260254f, 0.334473f, 0.420410f, 0.511719f, 0.601562f, 0.682129f, 0.750488f, 0.807617f, - 0.851074f, 0.884277f, 0.963867f, 0.966309f, 0.966797f, 0.966797f, 0.966797f, 0.966797f, 0.000000f, 0.000059f, 0.000292f, 0.000331f, - 0.000344f, 0.000613f, 0.000532f, 0.000703f, 0.000853f, 0.000915f, 0.000936f, 0.001102f, 0.001284f, 0.001430f, 0.001417f, 0.001475f, - 0.001791f, 0.001989f, 0.002161f, 0.002388f, 0.002775f, 0.003017f, 0.003357f, 0.003763f, 0.004124f, 0.004383f, 0.004917f, 0.005436f, - 0.005840f, 0.006733f, 0.007511f, 0.008667f, 0.009567f, 0.011032f, 0.012474f, 0.014610f, 0.016739f, 0.019379f, 0.022873f, 0.027252f, - 0.032410f, 0.039062f, 0.048065f, 0.059296f, 0.074646f, 0.094971f, 0.123108f, 0.161011f, 0.211426f, 0.277344f, 0.358154f, 0.450195f, - 0.545410f, 0.636230f, 0.715332f, 0.781250f, 0.832520f, 0.872070f, 0.960449f, 0.962402f, 0.963867f, 0.963379f, 0.962891f, 0.963379f, - 0.000000f, 0.000000f, 0.000098f, 0.000301f, 0.000315f, 0.000566f, 0.000587f, 0.000627f, 0.000643f, 0.000795f, 0.000974f, 0.001023f, - 0.000987f, 0.001031f, 0.001245f, 0.001470f, 0.001637f, 0.001820f, 0.001884f, 0.002146f, 0.002357f, 0.002630f, 0.002913f, 0.003164f, - 0.003380f, 0.003824f, 0.004189f, 0.004353f, 0.004940f, 0.005688f, 0.006409f, 0.007347f, 0.008018f, 0.009163f, 0.010559f, 0.012039f, - 0.013695f, 0.016144f, 0.018723f, 0.022354f, 0.026337f, 0.031433f, 0.038818f, 0.047546f, 0.059662f, 0.075623f, 0.097473f, 0.127808f, - 0.169556f, 0.225830f, 0.299072f, 0.387451f, 0.486084f, 0.583984f, 0.674805f, 0.751465f, 0.812012f, 0.859375f, 0.957031f, 0.958984f, - 0.959473f, 0.959961f, 0.959961f, 0.959961f, 0.000000f, 0.000000f, 0.000004f, 0.000078f, 0.000408f, 0.000432f, 0.000563f, 0.000560f, - 0.000566f, 0.000623f, 0.000782f, 0.000829f, 0.000896f, 0.000956f, 0.001056f, 0.001249f, 0.001414f, 0.001473f, 0.001646f, 0.001764f, - 0.002066f, 0.002230f, 0.002436f, 0.002651f, 0.003012f, 0.003252f, 0.003414f, 0.004055f, 0.004143f, 0.004784f, 0.005356f, 0.006077f, - 0.006870f, 0.007538f, 0.008728f, 0.009834f, 0.011322f, 0.013130f, 0.015427f, 0.017914f, 0.021271f, 0.025436f, 0.030960f, 0.038086f, - 0.047485f, 0.060303f, 0.077087f, 0.101196f, 0.134521f, 0.180786f, 0.244507f, 0.326172f, 0.423584f, 0.527832f, 0.628418f, 0.716797f, - 0.788086f, 0.843262f, 0.953125f, 0.955566f, 0.955566f, 0.956543f, 0.956055f, 0.956543f, 0.000000f, 0.000000f, 0.000000f, 0.000236f, - 0.000320f, 0.000484f, 0.000521f, 0.000549f, 0.000556f, 0.000584f, 0.000574f, 0.000690f, 0.000758f, 0.000841f, 0.001003f, 0.001013f, - 0.001169f, 0.001292f, 0.001437f, 0.001658f, 0.001830f, 0.002001f, 0.002081f, 0.002146f, 0.002434f, 0.002712f, 0.002964f, 0.003220f, - 0.003513f, 0.003963f, 0.004410f, 0.004875f, 0.005608f, 0.006245f, 0.007179f, 0.008118f, 0.009201f, 0.010582f, 0.012360f, 0.014343f, - 0.016968f, 0.020401f, 0.024628f, 0.030365f, 0.037567f, 0.047455f, 0.060913f, 0.079529f, 0.105774f, 0.143555f, 0.196167f, 0.268799f, - 0.361084f, 0.467041f, 0.576172f, 0.676758f, 0.760254f, 0.825195f, 0.948242f, 0.951660f, 0.951660f, 0.951660f, 0.951660f, 0.951660f, - 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000257f, 0.000334f, 0.000390f, 0.000496f, 0.000520f, 0.000539f, 0.000590f, 0.000602f, - 0.000646f, 0.000725f, 0.000909f, 0.000949f, 0.001023f, 0.001121f, 0.001181f, 0.001308f, 0.001474f, 0.001457f, 0.001714f, 0.002007f, - 0.001929f, 0.002039f, 0.002468f, 0.002672f, 0.003025f, 0.003317f, 0.003635f, 0.004047f, 0.004433f, 0.004864f, 0.005756f, 0.006493f, - 0.007515f, 0.008331f, 0.009697f, 0.011383f, 0.014000f, 0.016235f, 0.019653f, 0.024185f, 0.029465f, 0.037109f, 0.047699f, 0.062164f, - 0.082642f, 0.112488f, 0.155151f, 0.216919f, 0.300049f, 0.404541f, 0.520020f, 0.631836f, 0.728516f, 0.805664f, 0.943848f, 0.946289f, - 0.946777f, 0.946777f, 0.947266f, 0.947266f, 0.000000f, 0.000000f, 0.000122f, 0.000088f, 0.000219f, 0.000229f, 0.000355f, 0.000414f, - 0.000482f, 0.000545f, 0.000559f, 0.000568f, 0.000481f, 0.000668f, 0.000636f, 0.000728f, 0.000924f, 0.000980f, 0.001017f, 0.001109f, - 0.001258f, 0.001353f, 0.001451f, 0.001564f, 0.001621f, 0.001740f, 0.002066f, 0.002289f, 0.002459f, 0.002621f, 0.002975f, 0.003349f, - 0.003588f, 0.003998f, 0.004723f, 0.005116f, 0.006035f, 0.006859f, 0.007957f, 0.009064f, 0.010658f, 0.012711f, 0.015511f, 0.018555f, - 0.023026f, 0.028854f, 0.037140f, 0.048035f, 0.064026f, 0.086914f, 0.121033f, 0.171387f, 0.244141f, 0.341797f, 0.458740f, 0.580078f, - 0.691895f, 0.780762f, 0.937988f, 0.940430f, 0.941406f, 0.940918f, 0.941895f, 0.941406f, 0.000000f, 0.000000f, 0.000000f, 0.000080f, - 0.000211f, 0.000221f, 0.000225f, 0.000192f, 0.000352f, 0.000368f, 0.000397f, 0.000529f, 0.000510f, 0.000504f, 0.000540f, 0.000671f, - 0.000694f, 0.000763f, 0.000902f, 0.000998f, 0.001063f, 0.001074f, 0.001128f, 0.001407f, 0.001370f, 0.001449f, 0.001682f, 0.001635f, - 0.001976f, 0.002108f, 0.002335f, 0.002558f, 0.002905f, 0.003176f, 0.003637f, 0.003948f, 0.004650f, 0.005341f, 0.006237f, 0.007034f, - 0.008415f, 0.009811f, 0.012032f, 0.014565f, 0.017731f, 0.022324f, 0.028427f, 0.036713f, 0.048859f, 0.066406f, 0.092957f, 0.133057f, - 0.193848f, 0.281250f, 0.395508f, 0.524902f, 0.648926f, 0.754395f, 0.931152f, 0.934570f, 0.934570f, 0.934570f, 0.935547f, 0.935059f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000181f, 0.000196f, 0.000236f, 0.000250f, 0.000226f, 0.000281f, 0.000335f, 0.000457f, - 0.000406f, 0.000511f, 0.000522f, 0.000593f, 0.000539f, 0.000663f, 0.000661f, 0.000779f, 0.000978f, 0.000855f, 0.000937f, 0.001128f, - 0.001163f, 0.001253f, 0.001241f, 0.001531f, 0.001595f, 0.001796f, 0.001888f, 0.002226f, 0.002350f, 0.002609f, 0.002787f, 0.003260f, - 0.003656f, 0.004303f, 0.004910f, 0.005577f, 0.006683f, 0.007603f, 0.009102f, 0.011017f, 0.013603f, 0.016968f, 0.021652f, 0.027939f, - 0.037109f, 0.050262f, 0.070374f, 0.101624f, 0.150391f, 0.225220f, 0.331543f, 0.463867f, 0.601074f, 0.723145f, 0.923828f, 0.927246f, - 0.927246f, 0.928223f, 0.927734f, 0.928223f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000174f, 0.000156f, 0.000204f, - 0.000180f, 0.000221f, 0.000246f, 0.000346f, 0.000313f, 0.000426f, 0.000468f, 0.000482f, 0.000559f, 0.000582f, 0.000536f, 0.000611f, - 0.000770f, 0.000666f, 0.000919f, 0.000947f, 0.001013f, 0.000948f, 0.001129f, 0.001169f, 0.001463f, 0.001579f, 0.001540f, 0.001555f, - 0.001888f, 0.002007f, 0.002390f, 0.002623f, 0.002708f, 0.003235f, 0.003584f, 0.004223f, 0.005001f, 0.005791f, 0.006905f, 0.008118f, - 0.010117f, 0.012512f, 0.015961f, 0.020798f, 0.027374f, 0.037628f, 0.052673f, 0.076172f, 0.114197f, 0.175659f, 0.270752f, 0.399658f, - 0.546875f, 0.687012f, 0.915527f, 0.918457f, 0.919434f, 0.919434f, 0.919434f, 0.919434f, 0.000000f, 0.000000f, 0.000121f, 0.000121f, - 0.000121f, 0.000120f, 0.000139f, 0.000141f, 0.000152f, 0.000186f, 0.000209f, 0.000222f, 0.000297f, 0.000330f, 0.000367f, 0.000403f, - 0.000433f, 0.000456f, 0.000457f, 0.000484f, 0.000521f, 0.000544f, 0.000594f, 0.000807f, 0.000790f, 0.000841f, 0.000784f, 0.001025f, - 0.001112f, 0.001014f, 0.001146f, 0.001287f, 0.001485f, 0.001541f, 0.001740f, 0.002014f, 0.002264f, 0.002460f, 0.002825f, 0.003124f, - 0.003683f, 0.004177f, 0.005024f, 0.006004f, 0.007454f, 0.009041f, 0.011833f, 0.014839f, 0.019791f, 0.027283f, 0.038361f, 0.055817f, - 0.084656f, 0.133057f, 0.213013f, 0.334717f, 0.488770f, 0.645996f, 0.905762f, 0.909668f, 0.909668f, 0.909180f, 0.910645f, 0.908691f, - 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000115f, 0.000104f, 0.000105f, 0.000203f, 0.000235f, - 0.000185f, 0.000290f, 0.000201f, 0.000306f, 0.000259f, 0.000370f, 0.000401f, 0.000428f, 0.000596f, 0.000617f, 0.000474f, 0.000593f, - 0.000641f, 0.000676f, 0.000682f, 0.000826f, 0.000897f, 0.000934f, 0.000972f, 0.000972f, 0.001213f, 0.001281f, 0.001410f, 0.001451f, - 0.001562f, 0.001786f, 0.002031f, 0.002417f, 0.002764f, 0.003162f, 0.003763f, 0.004406f, 0.005310f, 0.006454f, 0.008156f, 0.010849f, - 0.014305f, 0.019318f, 0.027328f, 0.039856f, 0.061310f, 0.097717f, 0.162354f, 0.270752f, 0.424805f, 0.599609f, 0.894043f, 0.897949f, - 0.898438f, 0.898438f, 0.898926f, 0.898438f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, - 0.000112f, 0.000102f, 0.000094f, 0.000109f, 0.000131f, 0.000145f, 0.000232f, 0.000171f, 0.000278f, 0.000230f, 0.000347f, 0.000331f, - 0.000379f, 0.000381f, 0.000512f, 0.000427f, 0.000541f, 0.000566f, 0.000547f, 0.000613f, 0.000706f, 0.000660f, 0.000809f, 0.000941f, - 0.000950f, 0.001035f, 0.001069f, 0.001220f, 0.001149f, 0.001314f, 0.001603f, 0.001801f, 0.002062f, 0.002394f, 0.002737f, 0.003057f, - 0.003771f, 0.004471f, 0.005875f, 0.007217f, 0.009651f, 0.013344f, 0.018829f, 0.027710f, 0.043091f, 0.069214f, 0.119141f, 0.210571f, - 0.358398f, 0.544922f, 0.881348f, 0.883789f, 0.885254f, 0.885742f, 0.885254f, 0.885254f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, - 0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, 0.000110f, 0.000101f, 0.000094f, 0.000087f, 0.000157f, 0.000151f, 0.000168f, - 0.000146f, 0.000219f, 0.000214f, 0.000261f, 0.000313f, 0.000363f, 0.000311f, 0.000415f, 0.000476f, 0.000448f, 0.000429f, 0.000460f, - 0.000481f, 0.000560f, 0.000544f, 0.000695f, 0.000626f, 0.000789f, 0.000877f, 0.000894f, 0.000948f, 0.001177f, 0.001175f, 0.001366f, - 0.001487f, 0.001738f, 0.002008f, 0.002304f, 0.002663f, 0.003250f, 0.004002f, 0.004932f, 0.006416f, 0.008636f, 0.012344f, 0.018127f, - 0.028610f, 0.047150f, 0.083923f, 0.156860f, 0.291260f, 0.487305f, 0.866211f, 0.869141f, 0.870605f, 0.870117f, 0.871094f, 0.870117f, - 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000115f, 0.000115f, 0.000114f, 0.000114f, 0.000109f, 0.000101f, - 0.000094f, 0.000087f, 0.000081f, 0.000085f, 0.000129f, 0.000150f, 0.000176f, 0.000193f, 0.000216f, 0.000257f, 0.000241f, 0.000302f, - 0.000259f, 0.000299f, 0.000397f, 0.000403f, 0.000384f, 0.000402f, 0.000425f, 0.000582f, 0.000467f, 0.000614f, 0.000660f, 0.000625f, - 0.000650f, 0.000819f, 0.000790f, 0.000879f, 0.001001f, 0.001140f, 0.001403f, 0.001555f, 0.001844f, 0.002213f, 0.002636f, 0.003235f, - 0.004082f, 0.005604f, 0.007896f, 0.011292f, 0.018005f, 0.030472f, 0.055786f, 0.109985f, 0.224976f, 0.421875f, 0.848145f, 0.852539f, - 0.853027f, 0.852539f, 0.852539f, 0.853027f, 0.000000f, 0.000119f, 0.000118f, 0.000116f, 0.000115f, 0.000114f, 0.000113f, 0.000112f, - 0.000111f, 0.000111f, 0.000110f, 0.000108f, 0.000101f, 0.000094f, 0.000088f, 0.000082f, 0.000077f, 0.000109f, 0.000068f, 0.000102f, - 0.000127f, 0.000158f, 0.000177f, 0.000192f, 0.000207f, 0.000214f, 0.000249f, 0.000278f, 0.000296f, 0.000320f, 0.000330f, 0.000342f, - 0.000415f, 0.000371f, 0.000389f, 0.000508f, 0.000463f, 0.000586f, 0.000606f, 0.000649f, 0.000724f, 0.000841f, 0.000910f, 0.001065f, - 0.001236f, 0.001475f, 0.001807f, 0.002138f, 0.002716f, 0.003622f, 0.004921f, 0.006950f, 0.010574f, 0.018433f, 0.034607f, 0.072449f, - 0.163818f, 0.352295f, 0.827637f, 0.831055f, 0.831543f, 0.832031f, 0.833008f, 0.832520f, 0.000120f, 0.000116f, 0.000114f, 0.000113f, - 0.000111f, 0.000110f, 0.000109f, 0.000108f, 0.000107f, 0.000106f, 0.000106f, 0.000105f, 0.000104f, 0.000101f, 0.000094f, 0.000088f, - 0.000083f, 0.000078f, 0.000073f, 0.000092f, 0.000064f, 0.000097f, 0.000073f, 0.000105f, 0.000125f, 0.000162f, 0.000179f, 0.000177f, - 0.000191f, 0.000221f, 0.000241f, 0.000235f, 0.000270f, 0.000277f, 0.000287f, 0.000329f, 0.000319f, 0.000428f, 0.000417f, 0.000409f, - 0.000524f, 0.000537f, 0.000612f, 0.000750f, 0.000770f, 0.000961f, 0.001153f, 0.001347f, 0.001702f, 0.002081f, 0.002903f, 0.003956f, - 0.006184f, 0.010368f, 0.019592f, 0.043427f, 0.109924f, 0.280518f, 0.803223f, 0.806152f, 0.807617f, 0.808594f, 0.809082f, 0.808105f, - 0.000000f, 0.000111f, 0.000106f, 0.000107f, 0.000104f, 0.000103f, 0.000101f, 0.000101f, 0.000101f, 0.000100f, 0.000099f, 0.000098f, - 0.000097f, 0.000097f, 0.000097f, 0.000094f, 0.000088f, 0.000083f, 0.000078f, 0.000073f, 0.000069f, 0.000070f, 0.000061f, 0.000068f, - 0.000059f, 0.000067f, 0.000084f, 0.000097f, 0.000128f, 0.000137f, 0.000165f, 0.000160f, 0.000176f, 0.000185f, 0.000217f, 0.000239f, - 0.000237f, 0.000238f, 0.000272f, 0.000281f, 0.000314f, 0.000372f, 0.000395f, 0.000430f, 0.000504f, 0.000578f, 0.000665f, 0.000856f, - 0.000969f, 0.001210f, 0.001594f, 0.002216f, 0.003370f, 0.005527f, 0.010170f, 0.023239f, 0.066101f, 0.207275f, 0.775391f, 0.779785f, - 0.780273f, 0.780762f, 0.780273f, 0.780762f, 0.000000f, 0.000094f, 0.000097f, 0.000095f, 0.000092f, 0.000091f, 0.000091f, 0.000090f, - 0.000089f, 0.000089f, 0.000088f, 0.000088f, 0.000087f, 0.000086f, 0.000087f, 0.000086f, 0.000086f, 0.000085f, 0.000081f, 0.000076f, - 0.000072f, 0.000068f, 0.000064f, 0.000060f, 0.000057f, 0.000054f, 0.000058f, 0.000048f, 0.000048f, 0.000069f, 0.000068f, 0.000092f, - 0.000110f, 0.000122f, 0.000133f, 0.000136f, 0.000146f, 0.000154f, 0.000175f, 0.000194f, 0.000204f, 0.000206f, 0.000238f, 0.000262f, - 0.000266f, 0.000338f, 0.000361f, 0.000432f, 0.000527f, 0.000659f, 0.000848f, 0.001183f, 0.001713f, 0.002661f, 0.004921f, 0.010887f, - 0.033936f, 0.138428f, 0.743652f, 0.747559f, 0.748047f, 0.748535f, 0.749512f, 0.749023f, 0.000045f, 0.000047f, 0.000059f, 0.000059f, - 0.000063f, 0.000068f, 0.000068f, 0.000068f, 0.000067f, 0.000069f, 0.000068f, 0.000070f, 0.000070f, 0.000070f, 0.000071f, 0.000070f, - 0.000071f, 0.000071f, 0.000071f, 0.000071f, 0.000071f, 0.000069f, 0.000065f, 0.000062f, 0.000058f, 0.000055f, 0.000052f, 0.000049f, - 0.000046f, 0.000044f, 0.000041f, 0.000050f, 0.000051f, 0.000048f, 0.000061f, 0.000070f, 0.000084f, 0.000095f, 0.000107f, 0.000104f, - 0.000111f, 0.000128f, 0.000143f, 0.000154f, 0.000157f, 0.000186f, 0.000198f, 0.000216f, 0.000268f, 0.000315f, 0.000414f, 0.000537f, - 0.000735f, 0.001149f, 0.002075f, 0.004669f, 0.014175f, 0.077881f, 0.707031f, 0.710449f, 0.712402f, 0.711914f, 0.712891f, 0.712402f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, 0.000013f, 0.000029f, 0.000028f, 0.000037f, 0.000035f, 0.000039f, - 0.000043f, 0.000043f, 0.000045f, 0.000045f, 0.000048f, 0.000048f, 0.000050f, 0.000051f, 0.000052f, 0.000052f, 0.000053f, 0.000054f, - 0.000054f, 0.000053f, 0.000050f, 0.000048f, 0.000045f, 0.000043f, 0.000040f, 0.000038f, 0.000036f, 0.000034f, 0.000032f, 0.000030f, - 0.000028f, 0.000030f, 0.000038f, 0.000043f, 0.000057f, 0.000069f, 0.000072f, 0.000073f, 0.000082f, 0.000095f, 0.000101f, 0.000099f, - 0.000116f, 0.000130f, 0.000184f, 0.000211f, 0.000301f, 0.000443f, 0.000737f, 0.001601f, 0.004978f, 0.032593f, 0.666504f, 0.669922f, - 0.669922f, 0.672363f, 0.670898f, 0.670410f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, 0.000012f, 0.000015f, 0.000018f, 0.000021f, - 0.000022f, 0.000023f, 0.000025f, 0.000028f, 0.000029f, 0.000029f, 0.000031f, 0.000033f, 0.000033f, 0.000035f, 0.000035f, 0.000035f, - 0.000033f, 0.000031f, 0.000029f, 0.000028f, 0.000026f, 0.000024f, 0.000023f, 0.000021f, 0.000020f, 0.000019f, 0.000022f, 0.000022f, - 0.000030f, 0.000038f, 0.000042f, 0.000041f, 0.000052f, 0.000047f, 0.000064f, 0.000072f, 0.000078f, 0.000129f, 0.000201f, 0.000382f, - 0.001180f, 0.009117f, 0.620605f, 0.624512f, 0.625000f, 0.625000f, 0.625000f, 0.625488f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000003f, 0.000005f, 0.000007f, 0.000008f, 0.000010f, 0.000011f, 0.000012f, 0.000014f, 0.000016f, 0.000016f, 0.000018f, 0.000017f, - 0.000016f, 0.000015f, 0.000014f, 0.000013f, 0.000012f, 0.000011f, 0.000010f, 0.000009f, 0.000011f, 0.000014f, 0.000018f, 0.000018f, - 0.000021f, 0.000028f, 0.000035f, 0.000053f, 0.000136f, 0.001152f, 0.571777f, 0.575684f, 0.575684f, 0.576172f, 0.576660f, 0.576660f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, - 0.000002f, 0.000004f, 0.000004f, 0.000004f, 0.000003f, 0.000003f, 0.000002f, 0.000004f, 0.000003f, 0.000011f, 0.520020f, 0.523926f, - 0.524902f, 0.524902f, 0.524902f, 0.524902f, - }, - { - 0.119934f, 0.328857f, 0.480713f, 0.586914f, 0.663086f, 0.717773f, 0.759766f, 0.791504f, 0.818359f, 0.838867f, 0.856934f, 0.871094f, - 0.883301f, 0.894043f, 0.902832f, 0.911621f, 0.917969f, 0.924805f, 0.930664f, 0.936035f, 0.939941f, 0.944824f, 0.948242f, 0.951660f, - 0.954590f, 0.958008f, 0.961426f, 0.962891f, 0.966309f, 0.967285f, 0.970215f, 0.972656f, 0.973633f, 0.975586f, 0.977539f, 0.978516f, - 0.979980f, 0.981445f, 0.982910f, 0.984375f, 0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, 0.991699f, 0.992676f, - 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999023f, - 0.999023f, 0.998535f, 0.998535f, 0.998047f, 0.046875f, 0.160400f, 0.286621f, 0.405518f, 0.507812f, 0.590820f, 0.656250f, 0.708008f, - 0.748535f, 0.781250f, 0.809082f, 0.830566f, 0.848633f, 0.864258f, 0.877441f, 0.888672f, 0.898926f, 0.906738f, 0.915039f, 0.921387f, - 0.928223f, 0.933105f, 0.937988f, 0.942871f, 0.946777f, 0.950684f, 0.954102f, 0.957031f, 0.959961f, 0.962402f, 0.965332f, 0.966797f, - 0.969727f, 0.971191f, 0.973145f, 0.975098f, 0.977539f, 0.978027f, 0.980469f, 0.981934f, 0.982910f, 0.984375f, 0.985352f, 0.986816f, - 0.987793f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995605f, 0.996582f, 0.996582f, - 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, 0.998047f, 0.023788f, 0.084473f, 0.163696f, 0.255615f, - 0.351807f, 0.445312f, 0.527832f, 0.597656f, 0.656738f, 0.703613f, 0.742676f, 0.775879f, 0.802734f, 0.824707f, 0.843262f, 0.858887f, - 0.873047f, 0.884766f, 0.895508f, 0.903809f, 0.913086f, 0.919434f, 0.925781f, 0.931641f, 0.937012f, 0.941406f, 0.945801f, 0.949707f, - 0.953125f, 0.956543f, 0.959473f, 0.962402f, 0.964844f, 0.967285f, 0.969238f, 0.972168f, 0.973633f, 0.975098f, 0.977539f, 0.979492f, - 0.980469f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.992188f, 0.992676f, - 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.997559f, - 0.014595f, 0.050110f, 0.097717f, 0.158569f, 0.230347f, 0.311523f, 0.394531f, 0.473145f, 0.544922f, 0.606934f, 0.660645f, 0.705566f, - 0.743164f, 0.775391f, 0.800781f, 0.822266f, 0.841309f, 0.856934f, 0.870605f, 0.883301f, 0.894043f, 0.902832f, 0.911133f, 0.918945f, - 0.925293f, 0.931152f, 0.936035f, 0.941406f, 0.945801f, 0.949707f, 0.953125f, 0.956055f, 0.959473f, 0.962402f, 0.964844f, 0.967285f, - 0.970215f, 0.972168f, 0.974121f, 0.975098f, 0.977539f, 0.979004f, 0.980957f, 0.981934f, 0.983398f, 0.984375f, 0.985840f, 0.987305f, - 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.998535f, 0.998535f, - 0.998535f, 0.998047f, 0.998047f, 0.997559f, 0.009178f, 0.032379f, 0.062561f, 0.102417f, 0.151611f, 0.210938f, 0.279785f, 0.352783f, - 0.426758f, 0.496826f, 0.561035f, 0.618164f, 0.666992f, 0.708496f, 0.744141f, 0.773926f, 0.800781f, 0.821777f, 0.840820f, 0.856445f, - 0.870117f, 0.882324f, 0.893066f, 0.901855f, 0.910645f, 0.918457f, 0.925293f, 0.930176f, 0.935547f, 0.941406f, 0.946289f, 0.949707f, - 0.953125f, 0.956543f, 0.959961f, 0.962891f, 0.965332f, 0.967773f, 0.969727f, 0.972656f, 0.974121f, 0.976074f, 0.977539f, 0.979492f, - 0.981445f, 0.982422f, 0.984375f, 0.985840f, 0.986328f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, - 0.994629f, 0.995605f, 0.998047f, 0.998047f, 0.998047f, 0.997559f, 0.997559f, 0.997559f, 0.006382f, 0.022430f, 0.042908f, 0.068970f, - 0.102844f, 0.144653f, 0.195557f, 0.253906f, 0.318848f, 0.386230f, 0.454590f, 0.518066f, 0.577148f, 0.628906f, 0.675293f, 0.714844f, - 0.748535f, 0.777344f, 0.802246f, 0.823730f, 0.841797f, 0.856934f, 0.871094f, 0.882812f, 0.893555f, 0.902832f, 0.911133f, 0.918457f, - 0.925293f, 0.930176f, 0.937012f, 0.940918f, 0.945801f, 0.950195f, 0.953613f, 0.957031f, 0.960449f, 0.963379f, 0.966309f, 0.968262f, - 0.970703f, 0.973145f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.983398f, 0.984375f, 0.985840f, 0.988281f, 0.988770f, - 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994629f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997070f, - 0.004585f, 0.015961f, 0.030930f, 0.049133f, 0.072144f, 0.101013f, 0.137451f, 0.181519f, 0.232544f, 0.290039f, 0.352539f, 0.416748f, - 0.479736f, 0.538574f, 0.592773f, 0.641602f, 0.684570f, 0.723145f, 0.754395f, 0.782715f, 0.805176f, 0.825195f, 0.843750f, 0.859863f, - 0.872559f, 0.884766f, 0.895020f, 0.904297f, 0.912109f, 0.919922f, 0.926270f, 0.932129f, 0.937500f, 0.942383f, 0.946289f, 0.950195f, - 0.955078f, 0.958008f, 0.961426f, 0.964355f, 0.967285f, 0.969238f, 0.971680f, 0.974121f, 0.975586f, 0.977539f, 0.979492f, 0.980957f, - 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.988281f, 0.989746f, 0.990723f, 0.992188f, 0.992676f, 0.993164f, 0.997559f, 0.997559f, - 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.003483f, 0.012291f, 0.023209f, 0.036041f, 0.052429f, 0.073486f, 0.099182f, 0.131226f, - 0.169678f, 0.214844f, 0.266846f, 0.323242f, 0.383545f, 0.444580f, 0.503418f, 0.559082f, 0.609375f, 0.655762f, 0.695312f, 0.730957f, - 0.760254f, 0.788086f, 0.810059f, 0.829590f, 0.847168f, 0.862793f, 0.875488f, 0.886719f, 0.896973f, 0.906250f, 0.914551f, 0.921387f, - 0.927734f, 0.933594f, 0.938965f, 0.944336f, 0.948242f, 0.952148f, 0.956543f, 0.958984f, 0.961914f, 0.965332f, 0.968262f, 0.970703f, - 0.972656f, 0.974609f, 0.977051f, 0.979004f, 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.989746f, 0.990234f, - 0.991699f, 0.992676f, 0.996582f, 0.997070f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, 0.002962f, 0.009613f, 0.017792f, 0.027481f, - 0.039429f, 0.055176f, 0.073914f, 0.096985f, 0.125610f, 0.159180f, 0.199707f, 0.246216f, 0.297607f, 0.353760f, 0.412842f, 0.470215f, - 0.526367f, 0.578613f, 0.626953f, 0.669434f, 0.707031f, 0.740723f, 0.769043f, 0.794922f, 0.814941f, 0.835449f, 0.851074f, 0.866699f, - 0.879395f, 0.890137f, 0.899902f, 0.909180f, 0.916992f, 0.924316f, 0.929688f, 0.936035f, 0.941406f, 0.945312f, 0.950195f, 0.953613f, - 0.957520f, 0.960938f, 0.963867f, 0.966797f, 0.969238f, 0.971680f, 0.974121f, 0.976562f, 0.979004f, 0.979980f, 0.981934f, 0.982910f, - 0.984375f, 0.986816f, 0.987793f, 0.988770f, 0.990234f, 0.991699f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996094f, 0.996094f, - 0.002077f, 0.007637f, 0.013802f, 0.021606f, 0.031006f, 0.042419f, 0.055969f, 0.073242f, 0.094055f, 0.119446f, 0.150513f, 0.186401f, - 0.228638f, 0.276123f, 0.328857f, 0.384277f, 0.440674f, 0.496338f, 0.549805f, 0.598633f, 0.644043f, 0.683594f, 0.719727f, 0.750977f, - 0.779297f, 0.802246f, 0.823730f, 0.840820f, 0.855957f, 0.871582f, 0.882324f, 0.893555f, 0.903809f, 0.911621f, 0.920410f, 0.926758f, - 0.932617f, 0.938477f, 0.943359f, 0.947754f, 0.953125f, 0.955566f, 0.959473f, 0.962402f, 0.965332f, 0.968262f, 0.970703f, 0.972656f, - 0.976074f, 0.977051f, 0.979492f, 0.981445f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, 0.989258f, 0.990723f, 0.995605f, 0.996094f, - 0.996094f, 0.996094f, 0.996094f, 0.995605f, 0.002014f, 0.006035f, 0.011299f, 0.017410f, 0.024368f, 0.033020f, 0.043701f, 0.056458f, - 0.072205f, 0.091431f, 0.114807f, 0.141968f, 0.174316f, 0.213257f, 0.256836f, 0.306152f, 0.358887f, 0.413330f, 0.468018f, 0.520996f, - 0.572266f, 0.618652f, 0.661621f, 0.699707f, 0.732910f, 0.762695f, 0.788574f, 0.810547f, 0.830078f, 0.848145f, 0.862305f, 0.875977f, - 0.887695f, 0.898438f, 0.907227f, 0.915527f, 0.922852f, 0.929199f, 0.936035f, 0.940918f, 0.946289f, 0.950684f, 0.953613f, 0.958496f, - 0.960938f, 0.964355f, 0.967285f, 0.970215f, 0.972656f, 0.975586f, 0.977539f, 0.979492f, 0.980957f, 0.982910f, 0.984863f, 0.986328f, - 0.987793f, 0.988770f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.001496f, 0.005196f, 0.009201f, 0.013985f, - 0.019806f, 0.026413f, 0.034943f, 0.044647f, 0.056641f, 0.070923f, 0.088623f, 0.109680f, 0.135254f, 0.164795f, 0.200073f, 0.240845f, - 0.285645f, 0.335449f, 0.387939f, 0.441650f, 0.495850f, 0.546875f, 0.595215f, 0.639160f, 0.679199f, 0.715820f, 0.746582f, 0.774414f, - 0.798828f, 0.819824f, 0.837402f, 0.854492f, 0.869629f, 0.881348f, 0.893066f, 0.902832f, 0.912109f, 0.918945f, 0.926758f, 0.933105f, - 0.938477f, 0.943359f, 0.948730f, 0.952637f, 0.956055f, 0.960449f, 0.963379f, 0.966797f, 0.969238f, 0.972656f, 0.975098f, 0.977051f, - 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.986328f, 0.987305f, 0.994629f, 0.995605f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, - 0.001187f, 0.004314f, 0.007740f, 0.011337f, 0.016373f, 0.021759f, 0.028198f, 0.035889f, 0.045197f, 0.056580f, 0.069946f, 0.085938f, - 0.105408f, 0.128784f, 0.155884f, 0.187866f, 0.225830f, 0.268066f, 0.315186f, 0.365479f, 0.418213f, 0.471680f, 0.522949f, 0.572754f, - 0.617676f, 0.659668f, 0.697754f, 0.730957f, 0.760742f, 0.787109f, 0.809570f, 0.830078f, 0.846680f, 0.862793f, 0.875488f, 0.888184f, - 0.898926f, 0.907715f, 0.916016f, 0.923340f, 0.930664f, 0.936523f, 0.941895f, 0.947754f, 0.951660f, 0.955566f, 0.959473f, 0.963867f, - 0.966309f, 0.969238f, 0.972168f, 0.974121f, 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.986816f, 0.994141f, 0.994629f, - 0.994629f, 0.994629f, 0.994629f, 0.994141f, 0.001187f, 0.003733f, 0.006496f, 0.009918f, 0.013634f, 0.017899f, 0.023026f, 0.029343f, - 0.036621f, 0.045227f, 0.055786f, 0.068298f, 0.083740f, 0.101135f, 0.122314f, 0.147827f, 0.177612f, 0.212891f, 0.252686f, 0.297119f, - 0.345215f, 0.395996f, 0.448730f, 0.500488f, 0.550781f, 0.597656f, 0.641113f, 0.680664f, 0.716309f, 0.747559f, 0.774414f, 0.799316f, - 0.820312f, 0.838867f, 0.855957f, 0.870117f, 0.883301f, 0.894531f, 0.904785f, 0.913086f, 0.920898f, 0.928223f, 0.935059f, 0.940430f, - 0.945312f, 0.950684f, 0.955566f, 0.958496f, 0.962891f, 0.965820f, 0.968750f, 0.971680f, 0.974609f, 0.976562f, 0.978516f, 0.980957f, - 0.982910f, 0.984863f, 0.994141f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f, 0.000998f, 0.003178f, 0.005444f, 0.008179f, - 0.011337f, 0.015091f, 0.019058f, 0.024368f, 0.029587f, 0.037140f, 0.045197f, 0.055115f, 0.066772f, 0.080688f, 0.097229f, 0.117371f, - 0.140869f, 0.169312f, 0.201538f, 0.238770f, 0.280762f, 0.326660f, 0.376709f, 0.427490f, 0.479248f, 0.530273f, 0.578613f, 0.623535f, - 0.664551f, 0.701660f, 0.733887f, 0.763672f, 0.790039f, 0.812500f, 0.832520f, 0.849121f, 0.865234f, 0.878906f, 0.890625f, 0.901367f, - 0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.939453f, 0.944824f, 0.949707f, 0.954590f, 0.958008f, 0.961914f, 0.965332f, 0.968750f, - 0.971680f, 0.974121f, 0.977051f, 0.979004f, 0.980957f, 0.982910f, 0.993164f, 0.993164f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, - 0.000948f, 0.002638f, 0.004784f, 0.007153f, 0.009590f, 0.012505f, 0.016388f, 0.020599f, 0.025299f, 0.031097f, 0.037323f, 0.045197f, - 0.054047f, 0.065002f, 0.078674f, 0.094055f, 0.112305f, 0.134399f, 0.160889f, 0.191040f, 0.226318f, 0.265869f, 0.310303f, 0.358154f, - 0.409180f, 0.459473f, 0.510254f, 0.559082f, 0.606445f, 0.648926f, 0.687500f, 0.722168f, 0.753418f, 0.781250f, 0.804199f, 0.825684f, - 0.843262f, 0.860840f, 0.874512f, 0.886719f, 0.898926f, 0.907227f, 0.916992f, 0.924805f, 0.932129f, 0.937988f, 0.943848f, 0.949219f, - 0.954102f, 0.958496f, 0.961426f, 0.965332f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.981445f, 0.992188f, 0.993164f, - 0.993164f, 0.993164f, 0.993164f, 0.992676f, 0.000696f, 0.002352f, 0.004002f, 0.006138f, 0.008446f, 0.010826f, 0.013840f, 0.017258f, - 0.021194f, 0.025970f, 0.031128f, 0.037140f, 0.044281f, 0.053436f, 0.063660f, 0.076050f, 0.090271f, 0.107727f, 0.128662f, 0.152832f, - 0.182007f, 0.214111f, 0.252930f, 0.295166f, 0.341553f, 0.390625f, 0.442139f, 0.492676f, 0.541992f, 0.589844f, 0.633301f, 0.674316f, - 0.710938f, 0.743652f, 0.772461f, 0.796875f, 0.819824f, 0.839355f, 0.854980f, 0.870605f, 0.884277f, 0.895508f, 0.906738f, 0.915527f, - 0.923828f, 0.931152f, 0.937500f, 0.944336f, 0.949219f, 0.953613f, 0.958008f, 0.962402f, 0.965332f, 0.968750f, 0.972168f, 0.974609f, - 0.977051f, 0.979980f, 0.991211f, 0.992676f, 0.992188f, 0.992188f, 0.992188f, 0.992676f, 0.000838f, 0.002033f, 0.003664f, 0.005077f, - 0.007282f, 0.009415f, 0.011749f, 0.014931f, 0.017853f, 0.021606f, 0.025864f, 0.031219f, 0.037231f, 0.044464f, 0.052338f, 0.062500f, - 0.073853f, 0.087463f, 0.104065f, 0.123230f, 0.146362f, 0.173340f, 0.205078f, 0.240845f, 0.281982f, 0.326660f, 0.374756f, 0.425049f, - 0.476807f, 0.526855f, 0.574219f, 0.620117f, 0.662598f, 0.699219f, 0.733398f, 0.764160f, 0.791016f, 0.813965f, 0.833984f, 0.851074f, - 0.867676f, 0.880859f, 0.893555f, 0.904785f, 0.914062f, 0.922852f, 0.930176f, 0.937012f, 0.942383f, 0.948242f, 0.953125f, 0.957520f, - 0.962402f, 0.966309f, 0.969238f, 0.973145f, 0.975098f, 0.978027f, 0.991699f, 0.991699f, 0.992676f, 0.992188f, 0.991699f, 0.992188f, - 0.000600f, 0.001687f, 0.003023f, 0.004963f, 0.006405f, 0.008163f, 0.010368f, 0.012718f, 0.015480f, 0.018311f, 0.022064f, 0.026169f, - 0.031097f, 0.036926f, 0.043457f, 0.051392f, 0.060669f, 0.071350f, 0.084473f, 0.100220f, 0.118103f, 0.140259f, 0.166016f, 0.195679f, - 0.230469f, 0.269531f, 0.313232f, 0.360596f, 0.410156f, 0.460693f, 0.511719f, 0.560547f, 0.607422f, 0.650879f, 0.689941f, 0.724609f, - 0.756348f, 0.784180f, 0.808594f, 0.828613f, 0.847656f, 0.864258f, 0.879395f, 0.892090f, 0.903320f, 0.912598f, 0.921875f, 0.929688f, - 0.936523f, 0.942871f, 0.947754f, 0.953125f, 0.957520f, 0.961914f, 0.966309f, 0.969238f, 0.972656f, 0.975586f, 0.990234f, 0.991211f, - 0.991211f, 0.991699f, 0.991211f, 0.991211f, 0.000269f, 0.001538f, 0.002800f, 0.003868f, 0.005524f, 0.007179f, 0.008987f, 0.011063f, - 0.013084f, 0.015747f, 0.019211f, 0.022324f, 0.026474f, 0.031311f, 0.036530f, 0.042969f, 0.050201f, 0.059174f, 0.069641f, 0.081543f, - 0.096680f, 0.114075f, 0.134644f, 0.158691f, 0.187622f, 0.220581f, 0.258301f, 0.300781f, 0.347168f, 0.395996f, 0.447266f, 0.498291f, - 0.547852f, 0.595215f, 0.640625f, 0.680176f, 0.717285f, 0.749512f, 0.778320f, 0.803223f, 0.825684f, 0.845215f, 0.862793f, 0.877441f, - 0.890625f, 0.901855f, 0.912109f, 0.920898f, 0.929688f, 0.937012f, 0.942871f, 0.949707f, 0.954102f, 0.958496f, 0.962402f, 0.966309f, - 0.970215f, 0.974121f, 0.989746f, 0.990234f, 0.990723f, 0.990723f, 0.990723f, 0.990234f, 0.000341f, 0.001337f, 0.002573f, 0.003475f, - 0.004765f, 0.006329f, 0.007717f, 0.009499f, 0.011642f, 0.014107f, 0.016556f, 0.019470f, 0.022491f, 0.026169f, 0.030945f, 0.036011f, - 0.042389f, 0.049042f, 0.057678f, 0.067993f, 0.079468f, 0.093384f, 0.110046f, 0.129883f, 0.152710f, 0.180420f, 0.212158f, 0.248291f, - 0.289551f, 0.334961f, 0.383301f, 0.434570f, 0.485596f, 0.536133f, 0.584473f, 0.630371f, 0.671875f, 0.710449f, 0.743652f, 0.773926f, - 0.799316f, 0.823242f, 0.843262f, 0.860352f, 0.875977f, 0.889648f, 0.901367f, 0.911621f, 0.921387f, 0.929688f, 0.937012f, 0.943848f, - 0.950195f, 0.955078f, 0.959473f, 0.963379f, 0.967773f, 0.971191f, 0.988770f, 0.989746f, 0.990234f, 0.990234f, 0.990234f, 0.990234f, - 0.000564f, 0.001324f, 0.002092f, 0.003191f, 0.004471f, 0.005348f, 0.007069f, 0.008438f, 0.010201f, 0.011810f, 0.014297f, 0.016586f, - 0.019470f, 0.022644f, 0.026428f, 0.030579f, 0.035797f, 0.041718f, 0.048248f, 0.056213f, 0.065857f, 0.076782f, 0.090271f, 0.106262f, - 0.125122f, 0.147095f, 0.173462f, 0.204224f, 0.239746f, 0.279785f, 0.323730f, 0.372314f, 0.422607f, 0.474121f, 0.526367f, 0.575195f, - 0.621582f, 0.664062f, 0.703613f, 0.738770f, 0.769043f, 0.796387f, 0.820312f, 0.841797f, 0.858887f, 0.875488f, 0.889648f, 0.900879f, - 0.912598f, 0.921875f, 0.930664f, 0.937500f, 0.944336f, 0.950195f, 0.955566f, 0.959961f, 0.964844f, 0.968750f, 0.987305f, 0.989258f, - 0.989258f, 0.989258f, 0.989258f, 0.988770f, 0.000369f, 0.001128f, 0.001871f, 0.002792f, 0.003712f, 0.004723f, 0.006016f, 0.007542f, - 0.008896f, 0.010773f, 0.012421f, 0.014381f, 0.016632f, 0.019791f, 0.022354f, 0.025955f, 0.030609f, 0.035065f, 0.040924f, 0.047333f, - 0.055084f, 0.064209f, 0.075012f, 0.087769f, 0.102966f, 0.120911f, 0.142456f, 0.167358f, 0.197144f, 0.231812f, 0.270752f, 0.314209f, - 0.362549f, 0.412598f, 0.464844f, 0.515625f, 0.566895f, 0.614258f, 0.657715f, 0.698730f, 0.734863f, 0.766602f, 0.794922f, 0.818848f, - 0.839844f, 0.858887f, 0.875000f, 0.889648f, 0.901855f, 0.912598f, 0.922852f, 0.931152f, 0.938965f, 0.945312f, 0.951660f, 0.957520f, - 0.961426f, 0.966309f, 0.986816f, 0.988281f, 0.988281f, 0.988770f, 0.988281f, 0.988281f, 0.000466f, 0.000900f, 0.001792f, 0.002695f, - 0.003458f, 0.004204f, 0.005356f, 0.006512f, 0.007896f, 0.009300f, 0.010895f, 0.012459f, 0.014786f, 0.016739f, 0.019424f, 0.022461f, - 0.026062f, 0.029831f, 0.034851f, 0.039764f, 0.046417f, 0.053711f, 0.062164f, 0.072388f, 0.085205f, 0.099365f, 0.117004f, 0.137573f, - 0.162231f, 0.190674f, 0.224121f, 0.262451f, 0.305664f, 0.353027f, 0.403809f, 0.456055f, 0.508301f, 0.559082f, 0.608398f, 0.652832f, - 0.694824f, 0.731445f, 0.764160f, 0.793945f, 0.817871f, 0.839355f, 0.858398f, 0.875488f, 0.890137f, 0.902832f, 0.913574f, 0.923828f, - 0.932617f, 0.940918f, 0.946777f, 0.953613f, 0.958984f, 0.963379f, 0.985840f, 0.987305f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, - 0.000234f, 0.001040f, 0.001661f, 0.002392f, 0.003101f, 0.003681f, 0.004944f, 0.005844f, 0.007065f, 0.008217f, 0.009247f, 0.010925f, - 0.012894f, 0.014549f, 0.017090f, 0.019455f, 0.022385f, 0.025650f, 0.029449f, 0.033936f, 0.039215f, 0.045135f, 0.052612f, 0.060944f, - 0.070312f, 0.082397f, 0.096924f, 0.113525f, 0.133179f, 0.156860f, 0.184814f, 0.217773f, 0.255127f, 0.298340f, 0.345215f, 0.395996f, - 0.448242f, 0.501953f, 0.553223f, 0.603516f, 0.649414f, 0.691895f, 0.729980f, 0.763184f, 0.792480f, 0.818359f, 0.841309f, 0.858887f, - 0.877441f, 0.891113f, 0.904785f, 0.915527f, 0.925781f, 0.933594f, 0.941895f, 0.949219f, 0.955566f, 0.960449f, 0.984863f, 0.985840f, - 0.986328f, 0.986816f, 0.986328f, 0.986816f, 0.000241f, 0.000808f, 0.001395f, 0.001986f, 0.002731f, 0.003429f, 0.004131f, 0.005402f, - 0.006077f, 0.007347f, 0.008522f, 0.009544f, 0.011345f, 0.013046f, 0.014534f, 0.016953f, 0.019241f, 0.022339f, 0.025208f, 0.029175f, - 0.033691f, 0.038300f, 0.044067f, 0.051331f, 0.059143f, 0.068726f, 0.080322f, 0.093567f, 0.109802f, 0.129883f, 0.152466f, 0.179810f, - 0.211792f, 0.249390f, 0.291748f, 0.338623f, 0.389404f, 0.442139f, 0.496338f, 0.548340f, 0.599121f, 0.645996f, 0.689941f, 0.728516f, - 0.762695f, 0.792969f, 0.818848f, 0.842285f, 0.862793f, 0.878906f, 0.894043f, 0.906250f, 0.917969f, 0.927734f, 0.935547f, 0.944336f, - 0.951172f, 0.957031f, 0.983398f, 0.985352f, 0.985840f, 0.985352f, 0.985840f, 0.985352f, 0.000340f, 0.000735f, 0.001377f, 0.001853f, - 0.002382f, 0.003159f, 0.004021f, 0.004642f, 0.005604f, 0.006340f, 0.007298f, 0.008591f, 0.009895f, 0.011154f, 0.012871f, 0.014580f, - 0.016876f, 0.019180f, 0.022141f, 0.024979f, 0.028748f, 0.032745f, 0.037964f, 0.043213f, 0.050171f, 0.057831f, 0.066833f, 0.078247f, - 0.091553f, 0.107178f, 0.125977f, 0.148315f, 0.175415f, 0.207153f, 0.244019f, 0.286377f, 0.333008f, 0.383789f, 0.437744f, 0.491943f, - 0.545410f, 0.597168f, 0.645508f, 0.688965f, 0.729004f, 0.764160f, 0.794434f, 0.821289f, 0.843750f, 0.864258f, 0.881348f, 0.895996f, - 0.909180f, 0.920898f, 0.929199f, 0.938965f, 0.946777f, 0.952637f, 0.982910f, 0.983887f, 0.984863f, 0.984863f, 0.984375f, 0.984863f, - 0.000236f, 0.000605f, 0.001135f, 0.001415f, 0.002329f, 0.002747f, 0.003551f, 0.004158f, 0.004723f, 0.005535f, 0.006687f, 0.007534f, - 0.008545f, 0.009979f, 0.011375f, 0.012993f, 0.014656f, 0.016754f, 0.018921f, 0.021759f, 0.024506f, 0.028183f, 0.032043f, 0.036743f, - 0.042236f, 0.048645f, 0.056030f, 0.065125f, 0.075928f, 0.089050f, 0.104370f, 0.122681f, 0.145142f, 0.171509f, 0.202759f, 0.239258f, - 0.281250f, 0.328369f, 0.379639f, 0.433838f, 0.489014f, 0.543945f, 0.596191f, 0.645020f, 0.690430f, 0.730957f, 0.766113f, 0.797852f, - 0.824219f, 0.846680f, 0.867188f, 0.884766f, 0.899414f, 0.912109f, 0.923828f, 0.933105f, 0.942383f, 0.949707f, 0.980957f, 0.982910f, - 0.983398f, 0.983398f, 0.983887f, 0.982910f, 0.000214f, 0.000710f, 0.001021f, 0.001429f, 0.001858f, 0.002607f, 0.003220f, 0.003738f, - 0.004459f, 0.005032f, 0.005726f, 0.006748f, 0.007748f, 0.008659f, 0.010002f, 0.011368f, 0.012985f, 0.014656f, 0.016525f, 0.018921f, - 0.021286f, 0.024231f, 0.027649f, 0.031464f, 0.035858f, 0.041321f, 0.047363f, 0.054840f, 0.063538f, 0.074097f, 0.086609f, 0.101990f, - 0.120117f, 0.141846f, 0.168213f, 0.199219f, 0.235352f, 0.277344f, 0.324707f, 0.376953f, 0.432373f, 0.488037f, 0.543457f, 0.597168f, - 0.646973f, 0.692871f, 0.732910f, 0.769531f, 0.801270f, 0.828125f, 0.850586f, 0.871582f, 0.888184f, 0.903809f, 0.915527f, 0.927246f, - 0.936523f, 0.946289f, 0.979492f, 0.981445f, 0.981934f, 0.982422f, 0.981934f, 0.981934f, 0.000000f, 0.000468f, 0.001076f, 0.001489f, - 0.002048f, 0.002413f, 0.002853f, 0.003468f, 0.003952f, 0.004444f, 0.005211f, 0.005917f, 0.006733f, 0.007763f, 0.008713f, 0.010262f, - 0.011368f, 0.012733f, 0.014458f, 0.016296f, 0.018478f, 0.021072f, 0.023666f, 0.026810f, 0.030746f, 0.035278f, 0.040131f, 0.046295f, - 0.053711f, 0.062195f, 0.072327f, 0.084717f, 0.099487f, 0.117371f, 0.139038f, 0.164795f, 0.195923f, 0.232422f, 0.274414f, 0.322266f, - 0.374756f, 0.431641f, 0.488525f, 0.545410f, 0.599121f, 0.650879f, 0.697754f, 0.738770f, 0.774414f, 0.806641f, 0.832520f, 0.856445f, - 0.875488f, 0.893555f, 0.907715f, 0.920410f, 0.931152f, 0.940918f, 0.978027f, 0.980469f, 0.980469f, 0.980957f, 0.980957f, 0.980957f, - 0.000279f, 0.000497f, 0.000763f, 0.001353f, 0.001794f, 0.002079f, 0.002451f, 0.002956f, 0.003498f, 0.004150f, 0.004589f, 0.005310f, - 0.006130f, 0.006958f, 0.007828f, 0.008888f, 0.009895f, 0.011124f, 0.012772f, 0.014282f, 0.016235f, 0.018127f, 0.020630f, 0.022873f, - 0.026321f, 0.029938f, 0.034241f, 0.039368f, 0.045319f, 0.052338f, 0.060852f, 0.070801f, 0.082947f, 0.097595f, 0.115051f, 0.136353f, - 0.162231f, 0.193481f, 0.229858f, 0.272217f, 0.321777f, 0.375000f, 0.432373f, 0.490479f, 0.548340f, 0.604004f, 0.655762f, 0.702637f, - 0.743652f, 0.780273f, 0.812500f, 0.838867f, 0.862305f, 0.881348f, 0.897949f, 0.912598f, 0.925293f, 0.935547f, 0.976562f, 0.978516f, - 0.979492f, 0.979980f, 0.979492f, 0.979004f, 0.000110f, 0.000473f, 0.000781f, 0.001262f, 0.001584f, 0.001890f, 0.002270f, 0.002607f, - 0.003241f, 0.003704f, 0.004055f, 0.004795f, 0.005356f, 0.005997f, 0.006760f, 0.007896f, 0.008896f, 0.009918f, 0.011200f, 0.012451f, - 0.013802f, 0.015556f, 0.017838f, 0.020065f, 0.022751f, 0.025864f, 0.029358f, 0.033600f, 0.038574f, 0.044342f, 0.050995f, 0.059296f, - 0.069214f, 0.081116f, 0.095459f, 0.113159f, 0.133911f, 0.160400f, 0.191406f, 0.228638f, 0.272217f, 0.321289f, 0.375732f, 0.434326f, - 0.493896f, 0.552734f, 0.609863f, 0.662109f, 0.709961f, 0.750977f, 0.787598f, 0.819336f, 0.846680f, 0.868164f, 0.887695f, 0.904297f, - 0.917969f, 0.930176f, 0.975098f, 0.977539f, 0.977051f, 0.977539f, 0.977539f, 0.977539f, 0.000242f, 0.000464f, 0.000831f, 0.001027f, - 0.001271f, 0.001722f, 0.001965f, 0.002243f, 0.002714f, 0.003036f, 0.003651f, 0.004025f, 0.004902f, 0.005638f, 0.006176f, 0.006943f, - 0.007763f, 0.008789f, 0.009804f, 0.010872f, 0.012070f, 0.013695f, 0.015381f, 0.017395f, 0.019608f, 0.022232f, 0.025009f, 0.028885f, - 0.032623f, 0.037659f, 0.043182f, 0.050018f, 0.058167f, 0.067810f, 0.079224f, 0.093811f, 0.111328f, 0.132324f, 0.158569f, 0.190063f, - 0.228149f, 0.271973f, 0.322510f, 0.378906f, 0.438477f, 0.499756f, 0.560059f, 0.618164f, 0.671387f, 0.718750f, 0.760742f, 0.796875f, - 0.826660f, 0.854492f, 0.875000f, 0.894531f, 0.911133f, 0.923828f, 0.973145f, 0.976074f, 0.975586f, 0.976074f, 0.976074f, 0.977051f, - 0.000242f, 0.000552f, 0.000701f, 0.001063f, 0.001186f, 0.001462f, 0.001690f, 0.002340f, 0.002703f, 0.002728f, 0.003325f, 0.003828f, - 0.004333f, 0.004913f, 0.005474f, 0.006077f, 0.006943f, 0.007607f, 0.008553f, 0.009460f, 0.010582f, 0.011871f, 0.013451f, 0.015091f, - 0.016983f, 0.019165f, 0.021637f, 0.024673f, 0.027863f, 0.031525f, 0.036713f, 0.041962f, 0.048615f, 0.056396f, 0.066162f, 0.077942f, - 0.092590f, 0.110046f, 0.130981f, 0.157593f, 0.189331f, 0.228394f, 0.273926f, 0.325684f, 0.383301f, 0.444580f, 0.507324f, 0.569824f, - 0.627441f, 0.682129f, 0.729980f, 0.770508f, 0.807129f, 0.837402f, 0.863281f, 0.884766f, 0.902832f, 0.917969f, 0.971191f, 0.973633f, - 0.974609f, 0.974121f, 0.974609f, 0.974609f, 0.000239f, 0.000239f, 0.000658f, 0.000899f, 0.001204f, 0.001252f, 0.001629f, 0.001815f, - 0.002470f, 0.002430f, 0.003134f, 0.003321f, 0.003925f, 0.004238f, 0.004856f, 0.005341f, 0.006161f, 0.006615f, 0.007511f, 0.008224f, - 0.009277f, 0.010445f, 0.011818f, 0.013046f, 0.014473f, 0.016510f, 0.018814f, 0.021057f, 0.023834f, 0.027237f, 0.030853f, 0.035675f, - 0.040894f, 0.047241f, 0.055145f, 0.064758f, 0.076782f, 0.090942f, 0.108398f, 0.130371f, 0.157104f, 0.189819f, 0.229248f, 0.276367f, - 0.329834f, 0.390137f, 0.453125f, 0.517578f, 0.580566f, 0.640625f, 0.694336f, 0.741699f, 0.782715f, 0.817871f, 0.848145f, 0.872559f, - 0.893555f, 0.910645f, 0.969727f, 0.971191f, 0.972656f, 0.972168f, 0.972168f, 0.972168f, 0.000222f, 0.000463f, 0.000620f, 0.000837f, - 0.000900f, 0.001048f, 0.001381f, 0.001820f, 0.001957f, 0.002329f, 0.002747f, 0.002964f, 0.003330f, 0.003986f, 0.004322f, 0.004677f, - 0.005302f, 0.005760f, 0.006569f, 0.007359f, 0.008141f, 0.009293f, 0.010101f, 0.011452f, 0.012779f, 0.014496f, 0.016144f, 0.018097f, - 0.020157f, 0.023148f, 0.026611f, 0.029785f, 0.034515f, 0.039856f, 0.046478f, 0.054016f, 0.063843f, 0.075378f, 0.089233f, 0.107666f, - 0.129639f, 0.156860f, 0.190674f, 0.231445f, 0.280518f, 0.336426f, 0.398193f, 0.463379f, 0.530273f, 0.595215f, 0.654785f, 0.708984f, - 0.755371f, 0.796875f, 0.831543f, 0.860352f, 0.883789f, 0.903809f, 0.966797f, 0.968750f, 0.969727f, 0.970215f, 0.970215f, 0.969727f, - 0.000000f, 0.000345f, 0.000464f, 0.000686f, 0.000782f, 0.001030f, 0.001139f, 0.001598f, 0.001846f, 0.002237f, 0.002489f, 0.002684f, - 0.003067f, 0.003344f, 0.003895f, 0.004158f, 0.004845f, 0.005131f, 0.005886f, 0.006561f, 0.007195f, 0.007912f, 0.008965f, 0.009941f, - 0.010956f, 0.012383f, 0.013893f, 0.015602f, 0.017303f, 0.019623f, 0.022156f, 0.025452f, 0.028976f, 0.033722f, 0.038910f, 0.045288f, - 0.052887f, 0.062561f, 0.074097f, 0.088623f, 0.106812f, 0.129639f, 0.157715f, 0.192261f, 0.235107f, 0.285889f, 0.344482f, 0.408691f, - 0.476807f, 0.545410f, 0.610840f, 0.671387f, 0.725098f, 0.771484f, 0.811035f, 0.843750f, 0.871582f, 0.894043f, 0.964355f, 0.967285f, - 0.967285f, 0.967773f, 0.967773f, 0.967773f, 0.000000f, 0.000320f, 0.000576f, 0.000572f, 0.000767f, 0.000945f, 0.001066f, 0.001375f, - 0.001848f, 0.001980f, 0.002190f, 0.002399f, 0.002695f, 0.002943f, 0.003397f, 0.003664f, 0.004063f, 0.004566f, 0.005119f, 0.005688f, - 0.006130f, 0.007057f, 0.007778f, 0.008675f, 0.009590f, 0.010666f, 0.011971f, 0.013443f, 0.015129f, 0.016953f, 0.018875f, 0.021576f, - 0.024658f, 0.028488f, 0.032959f, 0.037811f, 0.043793f, 0.051819f, 0.061371f, 0.073181f, 0.088257f, 0.106506f, 0.129883f, 0.159180f, - 0.195679f, 0.240479f, 0.293457f, 0.355225f, 0.422852f, 0.492432f, 0.563477f, 0.629883f, 0.690918f, 0.743652f, 0.789062f, 0.827148f, - 0.858398f, 0.884277f, 0.961914f, 0.964844f, 0.964355f, 0.964844f, 0.964355f, 0.965332f, 0.000000f, 0.000242f, 0.000435f, 0.000547f, - 0.000688f, 0.000803f, 0.001175f, 0.001318f, 0.001593f, 0.001652f, 0.001961f, 0.002209f, 0.002481f, 0.002716f, 0.002911f, 0.003210f, - 0.003595f, 0.004005f, 0.004490f, 0.004894f, 0.005508f, 0.006107f, 0.006714f, 0.007462f, 0.008438f, 0.009277f, 0.010170f, 0.011436f, - 0.012756f, 0.014145f, 0.016205f, 0.018433f, 0.020966f, 0.023819f, 0.027405f, 0.031464f, 0.036713f, 0.043152f, 0.050842f, 0.060577f, - 0.071960f, 0.087219f, 0.106689f, 0.130371f, 0.161377f, 0.199585f, 0.246948f, 0.303467f, 0.367920f, 0.439697f, 0.512207f, 0.584473f, - 0.651855f, 0.712402f, 0.764160f, 0.808105f, 0.844727f, 0.875000f, 0.958008f, 0.961426f, 0.961914f, 0.961914f, 0.962402f, 0.961914f, - 0.000000f, 0.000237f, 0.000266f, 0.000387f, 0.000557f, 0.000691f, 0.000774f, 0.001221f, 0.001455f, 0.001492f, 0.001769f, 0.001896f, - 0.002151f, 0.002386f, 0.002529f, 0.002911f, 0.003147f, 0.003523f, 0.003862f, 0.004311f, 0.004848f, 0.005260f, 0.005795f, 0.006416f, - 0.007114f, 0.007942f, 0.008667f, 0.009666f, 0.010818f, 0.012184f, 0.013718f, 0.015541f, 0.017685f, 0.020126f, 0.023056f, 0.026306f, - 0.030853f, 0.035797f, 0.042053f, 0.049683f, 0.059784f, 0.072144f, 0.086914f, 0.106873f, 0.132202f, 0.164429f, 0.205200f, 0.255615f, - 0.315918f, 0.384521f, 0.458984f, 0.534668f, 0.607910f, 0.676758f, 0.735840f, 0.785645f, 0.828125f, 0.862305f, 0.955566f, 0.958008f, - 0.958984f, 0.958496f, 0.958984f, 0.958984f, 0.000000f, 0.000119f, 0.000234f, 0.000484f, 0.000603f, 0.000758f, 0.000934f, 0.000999f, - 0.001200f, 0.001343f, 0.001534f, 0.001725f, 0.001860f, 0.002056f, 0.002235f, 0.002445f, 0.002783f, 0.003115f, 0.003448f, 0.003757f, - 0.004192f, 0.004723f, 0.005077f, 0.005653f, 0.006172f, 0.006527f, 0.007328f, 0.008247f, 0.009140f, 0.010368f, 0.011711f, 0.013351f, - 0.014702f, 0.016937f, 0.019226f, 0.022156f, 0.025604f, 0.029877f, 0.034668f, 0.040710f, 0.048920f, 0.058624f, 0.071289f, 0.087219f, - 0.107727f, 0.134521f, 0.168701f, 0.212769f, 0.267090f, 0.331543f, 0.404785f, 0.482910f, 0.561523f, 0.635742f, 0.702637f, 0.760742f, - 0.809570f, 0.849121f, 0.951660f, 0.954590f, 0.955566f, 0.955566f, 0.956055f, 0.955566f, 0.000238f, 0.000218f, 0.000229f, 0.000242f, - 0.000313f, 0.000859f, 0.000623f, 0.000978f, 0.001021f, 0.001150f, 0.001320f, 0.001431f, 0.001546f, 0.001746f, 0.001895f, 0.002106f, - 0.002502f, 0.002630f, 0.002926f, 0.003296f, 0.003651f, 0.003918f, 0.004391f, 0.004910f, 0.005249f, 0.005558f, 0.006413f, 0.007114f, - 0.007866f, 0.008789f, 0.009872f, 0.011093f, 0.012413f, 0.013939f, 0.015945f, 0.018692f, 0.021225f, 0.024643f, 0.028687f, 0.033936f, - 0.040192f, 0.047791f, 0.058014f, 0.070923f, 0.087585f, 0.109131f, 0.137573f, 0.174683f, 0.222290f, 0.280762f, 0.350830f, 0.428955f, - 0.511230f, 0.592285f, 0.666992f, 0.733398f, 0.789062f, 0.834473f, 0.947754f, 0.951172f, 0.951660f, 0.951172f, 0.951660f, 0.951172f, - 0.000000f, 0.000205f, 0.000222f, 0.000344f, 0.000301f, 0.000775f, 0.000827f, 0.000719f, 0.000944f, 0.000976f, 0.001306f, 0.001249f, - 0.001404f, 0.001569f, 0.001604f, 0.001819f, 0.002182f, 0.002354f, 0.002569f, 0.002857f, 0.003113f, 0.003426f, 0.003649f, 0.004112f, - 0.004307f, 0.004925f, 0.005508f, 0.005802f, 0.006565f, 0.007450f, 0.008125f, 0.009079f, 0.010269f, 0.011665f, 0.013565f, 0.015213f, - 0.017410f, 0.020203f, 0.023743f, 0.028168f, 0.032684f, 0.039062f, 0.047058f, 0.057404f, 0.070984f, 0.088623f, 0.111389f, 0.142090f, - 0.182373f, 0.234253f, 0.298828f, 0.375000f, 0.458008f, 0.543945f, 0.627441f, 0.702148f, 0.765137f, 0.818359f, 0.942871f, 0.946289f, - 0.947266f, 0.947266f, 0.946777f, 0.947266f, 0.000064f, 0.000095f, 0.000197f, 0.000213f, 0.000459f, 0.000491f, 0.000647f, 0.000696f, - 0.000884f, 0.000911f, 0.001121f, 0.001115f, 0.001234f, 0.001371f, 0.001410f, 0.001743f, 0.001905f, 0.002016f, 0.002207f, 0.002438f, - 0.002714f, 0.002939f, 0.003183f, 0.003323f, 0.003727f, 0.004143f, 0.004555f, 0.005276f, 0.005531f, 0.006264f, 0.006702f, 0.007572f, - 0.008705f, 0.009712f, 0.011238f, 0.012650f, 0.014320f, 0.016815f, 0.019516f, 0.022400f, 0.026566f, 0.031799f, 0.038055f, 0.046417f, - 0.057037f, 0.071350f, 0.089722f, 0.114868f, 0.148193f, 0.192749f, 0.249878f, 0.321045f, 0.404053f, 0.493408f, 0.583008f, 0.666016f, - 0.739258f, 0.799316f, 0.937988f, 0.941406f, 0.941895f, 0.942383f, 0.942383f, 0.942383f, 0.000000f, 0.000007f, 0.000144f, 0.000427f, - 0.000443f, 0.000566f, 0.000589f, 0.000615f, 0.000725f, 0.000731f, 0.000896f, 0.000953f, 0.001062f, 0.001167f, 0.001344f, 0.001345f, - 0.001636f, 0.001774f, 0.001893f, 0.002069f, 0.002350f, 0.002457f, 0.002678f, 0.002743f, 0.003105f, 0.003513f, 0.003830f, 0.004227f, - 0.004589f, 0.005047f, 0.005669f, 0.006176f, 0.007153f, 0.007896f, 0.008911f, 0.010231f, 0.011818f, 0.013618f, 0.015465f, 0.018188f, - 0.021576f, 0.025452f, 0.030533f, 0.037048f, 0.045685f, 0.056915f, 0.071533f, 0.091675f, 0.118958f, 0.156006f, 0.205444f, 0.270020f, - 0.349609f, 0.439941f, 0.533691f, 0.625977f, 0.708984f, 0.778320f, 0.931641f, 0.936035f, 0.936523f, 0.937012f, 0.937012f, 0.937012f, - 0.000000f, 0.000000f, 0.000137f, 0.000262f, 0.000432f, 0.000437f, 0.000444f, 0.000590f, 0.000558f, 0.000606f, 0.000817f, 0.000877f, - 0.000909f, 0.000951f, 0.001191f, 0.001244f, 0.001373f, 0.001506f, 0.001702f, 0.001690f, 0.001955f, 0.001940f, 0.002283f, 0.002340f, - 0.002571f, 0.002871f, 0.003265f, 0.003475f, 0.003910f, 0.004181f, 0.004608f, 0.005112f, 0.005833f, 0.006416f, 0.007145f, 0.008209f, - 0.009636f, 0.010750f, 0.012642f, 0.014481f, 0.017197f, 0.020203f, 0.024353f, 0.029694f, 0.036041f, 0.045105f, 0.056702f, 0.072388f, - 0.094482f, 0.124329f, 0.166504f, 0.223022f, 0.295898f, 0.384766f, 0.482910f, 0.582031f, 0.675293f, 0.754883f, 0.926270f, 0.929688f, - 0.930664f, 0.930664f, 0.931152f, 0.930664f, 0.000000f, 0.000000f, 0.000000f, 0.000232f, 0.000357f, 0.000411f, 0.000513f, 0.000527f, - 0.000490f, 0.000504f, 0.000653f, 0.000750f, 0.000780f, 0.000976f, 0.000942f, 0.000967f, 0.001180f, 0.001252f, 0.001385f, 0.001425f, - 0.001559f, 0.001801f, 0.001886f, 0.002144f, 0.002111f, 0.002354f, 0.002645f, 0.002827f, 0.003187f, 0.003414f, 0.003792f, 0.004360f, - 0.004662f, 0.005146f, 0.005875f, 0.006783f, 0.007610f, 0.008797f, 0.010033f, 0.011566f, 0.013565f, 0.016006f, 0.019165f, 0.023163f, - 0.028320f, 0.035400f, 0.044647f, 0.057129f, 0.074402f, 0.098572f, 0.132812f, 0.180542f, 0.245728f, 0.330078f, 0.428955f, 0.535156f, - 0.638184f, 0.728516f, 0.919434f, 0.922852f, 0.923828f, 0.923828f, 0.923828f, 0.924316f, 0.000000f, 0.000000f, 0.000000f, 0.000114f, - 0.000248f, 0.000359f, 0.000386f, 0.000342f, 0.000465f, 0.000461f, 0.000490f, 0.000609f, 0.000638f, 0.000694f, 0.000807f, 0.000923f, - 0.000961f, 0.001074f, 0.001123f, 0.001268f, 0.001311f, 0.001494f, 0.001537f, 0.001754f, 0.001899f, 0.001917f, 0.002199f, 0.002241f, - 0.002583f, 0.002769f, 0.003101f, 0.003441f, 0.003775f, 0.004200f, 0.004787f, 0.005272f, 0.006062f, 0.006702f, 0.007732f, 0.009102f, - 0.010582f, 0.012466f, 0.014984f, 0.017990f, 0.021957f, 0.027222f, 0.034332f, 0.044128f, 0.057434f, 0.076538f, 0.104126f, 0.143799f, - 0.199829f, 0.275879f, 0.373047f, 0.482422f, 0.594727f, 0.698730f, 0.910645f, 0.914551f, 0.916504f, 0.916016f, 0.916504f, 0.915527f, - 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000221f, 0.000222f, 0.000392f, 0.000402f, 0.000396f, 0.000434f, 0.000476f, 0.000548f, - 0.000536f, 0.000644f, 0.000642f, 0.000793f, 0.000795f, 0.000912f, 0.000953f, 0.000989f, 0.001164f, 0.001197f, 0.001285f, 0.001480f, - 0.001511f, 0.001674f, 0.001703f, 0.001901f, 0.002075f, 0.002340f, 0.002499f, 0.002800f, 0.003019f, 0.003296f, 0.003695f, 0.004093f, - 0.004780f, 0.005260f, 0.006207f, 0.006939f, 0.008034f, 0.009598f, 0.011353f, 0.013702f, 0.016678f, 0.020874f, 0.026062f, 0.033539f, - 0.044006f, 0.058746f, 0.080139f, 0.111877f, 0.158447f, 0.226318f, 0.317627f, 0.428711f, 0.548828f, 0.665039f, 0.901367f, 0.907227f, - 0.907715f, 0.908203f, 0.908203f, 0.907227f, 0.000000f, 0.000000f, 0.000122f, 0.000173f, 0.000191f, 0.000215f, 0.000224f, 0.000261f, - 0.000340f, 0.000374f, 0.000380f, 0.000496f, 0.000416f, 0.000535f, 0.000592f, 0.000622f, 0.000701f, 0.000772f, 0.000742f, 0.000774f, - 0.000990f, 0.000945f, 0.001088f, 0.001105f, 0.001348f, 0.001231f, 0.001460f, 0.001620f, 0.001758f, 0.001941f, 0.002008f, 0.002092f, - 0.002430f, 0.002615f, 0.002886f, 0.003208f, 0.003519f, 0.004112f, 0.004704f, 0.005371f, 0.006149f, 0.007351f, 0.008659f, 0.010201f, - 0.012550f, 0.015549f, 0.019577f, 0.025436f, 0.032928f, 0.044220f, 0.060608f, 0.084961f, 0.123474f, 0.180664f, 0.263184f, 0.372314f, - 0.498291f, 0.626465f, 0.892578f, 0.895996f, 0.896973f, 0.896973f, 0.897949f, 0.897949f, 0.000000f, 0.000000f, 0.000121f, 0.000121f, - 0.000120f, 0.000192f, 0.000201f, 0.000222f, 0.000222f, 0.000276f, 0.000295f, 0.000344f, 0.000433f, 0.000470f, 0.000485f, 0.000549f, - 0.000555f, 0.000558f, 0.000566f, 0.000639f, 0.000678f, 0.000757f, 0.000840f, 0.000905f, 0.000999f, 0.000946f, 0.001018f, 0.001309f, - 0.001402f, 0.001417f, 0.001624f, 0.001692f, 0.001869f, 0.002003f, 0.002184f, 0.002602f, 0.002851f, 0.003157f, 0.003595f, 0.004063f, - 0.004734f, 0.005398f, 0.006275f, 0.007542f, 0.009148f, 0.011383f, 0.014275f, 0.018250f, 0.024063f, 0.032135f, 0.044922f, 0.063721f, - 0.093811f, 0.139648f, 0.211914f, 0.314697f, 0.444092f, 0.584961f, 0.879883f, 0.884766f, 0.885254f, 0.885742f, 0.886230f, 0.885742f, - 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000120f, 0.000154f, 0.000150f, 0.000160f, 0.000202f, 0.000217f, 0.000308f, 0.000319f, - 0.000278f, 0.000392f, 0.000362f, 0.000432f, 0.000416f, 0.000448f, 0.000495f, 0.000526f, 0.000710f, 0.000754f, 0.000657f, 0.000755f, - 0.000806f, 0.000919f, 0.000815f, 0.001080f, 0.001152f, 0.001207f, 0.001218f, 0.001373f, 0.001320f, 0.001685f, 0.001764f, 0.001819f, - 0.002068f, 0.002380f, 0.002668f, 0.003033f, 0.003584f, 0.003979f, 0.004829f, 0.005402f, 0.006630f, 0.008080f, 0.010254f, 0.013069f, - 0.017044f, 0.023422f, 0.031647f, 0.046417f, 0.068604f, 0.104919f, 0.165161f, 0.258789f, 0.387207f, 0.537598f, 0.867188f, 0.871582f, - 0.872559f, 0.872559f, 0.872559f, 0.873047f, 0.000000f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000118f, 0.000122f, 0.000108f, - 0.000143f, 0.000149f, 0.000184f, 0.000194f, 0.000189f, 0.000210f, 0.000321f, 0.000282f, 0.000376f, 0.000420f, 0.000533f, 0.000437f, - 0.000467f, 0.000477f, 0.000587f, 0.000519f, 0.000673f, 0.000662f, 0.000679f, 0.000845f, 0.000881f, 0.000863f, 0.001016f, 0.001093f, - 0.001176f, 0.001191f, 0.001336f, 0.001561f, 0.001573f, 0.001754f, 0.001919f, 0.002264f, 0.002596f, 0.002911f, 0.003372f, 0.003870f, - 0.004723f, 0.005733f, 0.007092f, 0.008965f, 0.011650f, 0.015701f, 0.022339f, 0.032043f, 0.048370f, 0.076050f, 0.124084f, 0.204834f, - 0.328369f, 0.485596f, 0.852539f, 0.856934f, 0.858887f, 0.858887f, 0.858887f, 0.858398f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, - 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000105f, 0.000110f, 0.000165f, 0.000133f, 0.000157f, 0.000240f, 0.000256f, 0.000257f, - 0.000249f, 0.000303f, 0.000342f, 0.000346f, 0.000485f, 0.000510f, 0.000398f, 0.000493f, 0.000492f, 0.000524f, 0.000590f, 0.000585f, - 0.000601f, 0.000740f, 0.000647f, 0.000871f, 0.000834f, 0.000969f, 0.001020f, 0.001190f, 0.001244f, 0.001432f, 0.001393f, 0.001702f, - 0.001912f, 0.002171f, 0.002445f, 0.002958f, 0.003330f, 0.004025f, 0.004860f, 0.006161f, 0.007896f, 0.010742f, 0.014671f, 0.021378f, - 0.032928f, 0.052612f, 0.089050f, 0.155884f, 0.268555f, 0.430664f, 0.836426f, 0.841309f, 0.841309f, 0.842285f, 0.842773f, 0.842285f, - 0.000000f, 0.000000f, 0.000119f, 0.000117f, 0.000116f, 0.000115f, 0.000114f, 0.000114f, 0.000111f, 0.000103f, 0.000097f, 0.000118f, - 0.000115f, 0.000130f, 0.000176f, 0.000130f, 0.000223f, 0.000235f, 0.000244f, 0.000252f, 0.000274f, 0.000389f, 0.000309f, 0.000430f, - 0.000340f, 0.000399f, 0.000408f, 0.000459f, 0.000514f, 0.000501f, 0.000519f, 0.000657f, 0.000588f, 0.000775f, 0.000813f, 0.000789f, - 0.000904f, 0.001076f, 0.001027f, 0.001170f, 0.001342f, 0.001425f, 0.001662f, 0.002005f, 0.002298f, 0.002699f, 0.003227f, 0.003990f, - 0.005062f, 0.006855f, 0.009415f, 0.013504f, 0.020905f, 0.034424f, 0.060333f, 0.112000f, 0.210693f, 0.371094f, 0.816406f, 0.822754f, - 0.822754f, 0.823242f, 0.823242f, 0.823730f, 0.000000f, 0.000119f, 0.000117f, 0.000116f, 0.000114f, 0.000113f, 0.000112f, 0.000111f, - 0.000110f, 0.000109f, 0.000102f, 0.000095f, 0.000090f, 0.000084f, 0.000093f, 0.000103f, 0.000118f, 0.000165f, 0.000162f, 0.000190f, - 0.000204f, 0.000218f, 0.000223f, 0.000237f, 0.000256f, 0.000272f, 0.000344f, 0.000365f, 0.000365f, 0.000396f, 0.000386f, 0.000412f, - 0.000530f, 0.000466f, 0.000492f, 0.000615f, 0.000611f, 0.000748f, 0.000712f, 0.000795f, 0.000908f, 0.000971f, 0.001106f, 0.001353f, - 0.001572f, 0.001822f, 0.002251f, 0.002676f, 0.003290f, 0.004349f, 0.005951f, 0.008316f, 0.012543f, 0.021149f, 0.038025f, 0.075500f, - 0.156006f, 0.308838f, 0.794922f, 0.800293f, 0.800781f, 0.801270f, 0.801758f, 0.802246f, 0.000121f, 0.000116f, 0.000114f, 0.000113f, - 0.000111f, 0.000109f, 0.000108f, 0.000107f, 0.000106f, 0.000104f, 0.000104f, 0.000100f, 0.000094f, 0.000088f, 0.000083f, 0.000078f, - 0.000074f, 0.000105f, 0.000078f, 0.000122f, 0.000113f, 0.000153f, 0.000174f, 0.000175f, 0.000207f, 0.000216f, 0.000225f, 0.000215f, - 0.000262f, 0.000308f, 0.000297f, 0.000287f, 0.000307f, 0.000342f, 0.000363f, 0.000411f, 0.000401f, 0.000453f, 0.000522f, 0.000555f, - 0.000680f, 0.000701f, 0.000751f, 0.000873f, 0.000966f, 0.001181f, 0.001445f, 0.001666f, 0.002077f, 0.002512f, 0.003359f, 0.004856f, - 0.007347f, 0.012001f, 0.022049f, 0.046417f, 0.107117f, 0.245361f, 0.770508f, 0.775879f, 0.776367f, 0.776855f, 0.777344f, 0.777832f, - 0.000000f, 0.000113f, 0.000108f, 0.000107f, 0.000104f, 0.000103f, 0.000101f, 0.000100f, 0.000099f, 0.000098f, 0.000097f, 0.000096f, - 0.000095f, 0.000091f, 0.000086f, 0.000081f, 0.000077f, 0.000073f, 0.000069f, 0.000079f, 0.000084f, 0.000091f, 0.000074f, 0.000100f, - 0.000117f, 0.000140f, 0.000144f, 0.000166f, 0.000174f, 0.000178f, 0.000225f, 0.000197f, 0.000234f, 0.000239f, 0.000273f, 0.000289f, - 0.000283f, 0.000293f, 0.000338f, 0.000386f, 0.000386f, 0.000432f, 0.000459f, 0.000525f, 0.000625f, 0.000691f, 0.000800f, 0.001004f, - 0.001227f, 0.001479f, 0.001984f, 0.002745f, 0.003983f, 0.006413f, 0.011642f, 0.025269f, 0.066040f, 0.182495f, 0.743164f, 0.748535f, - 0.749023f, 0.749512f, 0.750000f, 0.749512f, 0.000000f, 0.000102f, 0.000101f, 0.000098f, 0.000094f, 0.000093f, 0.000092f, 0.000090f, - 0.000089f, 0.000088f, 0.000087f, 0.000086f, 0.000085f, 0.000084f, 0.000085f, 0.000082f, 0.000078f, 0.000074f, 0.000070f, 0.000066f, - 0.000063f, 0.000060f, 0.000057f, 0.000056f, 0.000061f, 0.000060f, 0.000073f, 0.000087f, 0.000100f, 0.000105f, 0.000124f, 0.000136f, - 0.000140f, 0.000140f, 0.000159f, 0.000179f, 0.000186f, 0.000205f, 0.000214f, 0.000229f, 0.000248f, 0.000267f, 0.000299f, 0.000344f, - 0.000367f, 0.000422f, 0.000496f, 0.000557f, 0.000639f, 0.000837f, 0.001037f, 0.001419f, 0.002081f, 0.003202f, 0.005730f, 0.012199f, - 0.034943f, 0.122925f, 0.711426f, 0.716797f, 0.718750f, 0.718262f, 0.718262f, 0.718750f, 0.000094f, 0.000079f, 0.000078f, 0.000074f, - 0.000074f, 0.000075f, 0.000074f, 0.000073f, 0.000071f, 0.000072f, 0.000070f, 0.000071f, 0.000071f, 0.000070f, 0.000070f, 0.000069f, - 0.000070f, 0.000069f, 0.000068f, 0.000065f, 0.000062f, 0.000059f, 0.000056f, 0.000053f, 0.000050f, 0.000048f, 0.000045f, 0.000044f, - 0.000041f, 0.000050f, 0.000050f, 0.000061f, 0.000068f, 0.000085f, 0.000091f, 0.000101f, 0.000102f, 0.000107f, 0.000119f, 0.000129f, - 0.000144f, 0.000151f, 0.000160f, 0.000184f, 0.000212f, 0.000213f, 0.000235f, 0.000294f, 0.000315f, 0.000392f, 0.000505f, 0.000637f, - 0.000880f, 0.001400f, 0.002462f, 0.005333f, 0.015160f, 0.070312f, 0.678223f, 0.683105f, 0.684082f, 0.684570f, 0.684570f, 0.684570f, - 0.000000f, 0.000000f, 0.000023f, 0.000034f, 0.000032f, 0.000038f, 0.000037f, 0.000044f, 0.000043f, 0.000047f, 0.000045f, 0.000047f, - 0.000049f, 0.000049f, 0.000049f, 0.000048f, 0.000051f, 0.000050f, 0.000051f, 0.000051f, 0.000052f, 0.000052f, 0.000052f, 0.000049f, - 0.000047f, 0.000045f, 0.000042f, 0.000040f, 0.000038f, 0.000036f, 0.000035f, 0.000033f, 0.000031f, 0.000029f, 0.000038f, 0.000037f, - 0.000042f, 0.000051f, 0.000055f, 0.000067f, 0.000074f, 0.000073f, 0.000083f, 0.000093f, 0.000088f, 0.000102f, 0.000122f, 0.000122f, - 0.000142f, 0.000169f, 0.000206f, 0.000265f, 0.000355f, 0.000531f, 0.000897f, 0.001822f, 0.005493f, 0.030579f, 0.640137f, 0.644531f, - 0.647461f, 0.647949f, 0.647461f, 0.648438f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000001f, 0.000000f, 0.000008f, 0.000012f, 0.000014f, 0.000014f, 0.000019f, 0.000021f, 0.000022f, 0.000024f, 0.000026f, 0.000027f, - 0.000027f, 0.000028f, 0.000029f, 0.000031f, 0.000031f, 0.000032f, 0.000032f, 0.000033f, 0.000033f, 0.000032f, 0.000030f, 0.000029f, - 0.000027f, 0.000026f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000019f, 0.000018f, 0.000021f, 0.000024f, 0.000028f, 0.000033f, - 0.000043f, 0.000041f, 0.000046f, 0.000053f, 0.000050f, 0.000059f, 0.000068f, 0.000094f, 0.000096f, 0.000140f, 0.000239f, 0.000447f, - 0.001340f, 0.009087f, 0.600098f, 0.605957f, 0.606934f, 0.606934f, 0.607422f, 0.606934f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000004f, 0.000006f, 0.000006f, - 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000013f, 0.000014f, 0.000015f, 0.000016f, 0.000017f, 0.000016f, 0.000015f, 0.000014f, - 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000010f, 0.000009f, 0.000008f, 0.000012f, 0.000014f, 0.000018f, 0.000017f, 0.000022f, - 0.000022f, 0.000026f, 0.000040f, 0.000060f, 0.000157f, 0.001244f, 0.557129f, 0.563477f, 0.563477f, 0.564941f, 0.564941f, 0.564941f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000003f, - 0.000003f, 0.000004f, 0.000003f, 0.000003f, 0.000003f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000012f, 0.513672f, 0.520020f, - 0.520020f, 0.520508f, 0.521484f, 0.521484f, - }, - { - 0.103943f, 0.284912f, 0.422119f, 0.523438f, 0.600586f, 0.659668f, 0.705078f, 0.741699f, 0.771484f, 0.795898f, 0.816895f, 0.834961f, - 0.850586f, 0.862793f, 0.874512f, 0.884277f, 0.894043f, 0.901855f, 0.909180f, 0.915039f, 0.921387f, 0.926270f, 0.932129f, 0.936035f, - 0.940430f, 0.944336f, 0.948242f, 0.951660f, 0.954590f, 0.957520f, 0.959961f, 0.962891f, 0.965332f, 0.967285f, 0.969727f, 0.971680f, - 0.973145f, 0.975586f, 0.977051f, 0.979004f, 0.979980f, 0.981934f, 0.983887f, 0.984375f, 0.985840f, 0.986816f, 0.988770f, 0.989258f, - 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994629f, 0.995605f, 0.996582f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999023f, - 0.998535f, 0.998047f, 0.997559f, 0.997070f, 0.046997f, 0.153564f, 0.264160f, 0.369385f, 0.460205f, 0.538574f, 0.602051f, 0.654785f, - 0.697754f, 0.733398f, 0.762695f, 0.787598f, 0.809082f, 0.827637f, 0.843262f, 0.856934f, 0.868652f, 0.880859f, 0.889648f, 0.898438f, - 0.906738f, 0.912598f, 0.918945f, 0.924805f, 0.929688f, 0.935059f, 0.938965f, 0.943359f, 0.947266f, 0.951172f, 0.954102f, 0.956543f, - 0.959961f, 0.961914f, 0.964844f, 0.966797f, 0.969727f, 0.971191f, 0.974121f, 0.975098f, 0.977051f, 0.979492f, 0.980469f, 0.981934f, - 0.983887f, 0.985352f, 0.985840f, 0.987305f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.995117f, 0.996094f, - 0.996582f, 0.997559f, 0.999023f, 0.998535f, 0.998047f, 0.997559f, 0.997070f, 0.997070f, 0.025940f, 0.088501f, 0.162964f, 0.246094f, - 0.331055f, 0.411865f, 0.486328f, 0.550293f, 0.606934f, 0.655762f, 0.695312f, 0.729980f, 0.758301f, 0.783691f, 0.804199f, 0.823730f, - 0.838867f, 0.853027f, 0.865723f, 0.877441f, 0.887207f, 0.895996f, 0.904785f, 0.911133f, 0.916992f, 0.923828f, 0.928223f, 0.933594f, - 0.937988f, 0.942871f, 0.946777f, 0.950195f, 0.953613f, 0.956543f, 0.959473f, 0.962402f, 0.964844f, 0.967285f, 0.970215f, 0.971680f, - 0.973633f, 0.976074f, 0.977539f, 0.979492f, 0.980469f, 0.982422f, 0.984863f, 0.985352f, 0.986816f, 0.987793f, 0.989258f, 0.990234f, - 0.991699f, 0.992676f, 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.998535f, 0.998047f, 0.998047f, 0.997559f, 0.997070f, 0.996582f, - 0.016159f, 0.055176f, 0.104126f, 0.162720f, 0.229126f, 0.300781f, 0.372803f, 0.442871f, 0.506836f, 0.563477f, 0.613281f, 0.657715f, - 0.696289f, 0.729004f, 0.757324f, 0.782227f, 0.802734f, 0.821289f, 0.837402f, 0.852539f, 0.865234f, 0.875977f, 0.885742f, 0.895508f, - 0.903320f, 0.910156f, 0.917480f, 0.922852f, 0.928711f, 0.934082f, 0.937988f, 0.942871f, 0.947266f, 0.950195f, 0.954102f, 0.957031f, - 0.959473f, 0.962402f, 0.964844f, 0.968262f, 0.969727f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979980f, 0.981934f, 0.982910f, - 0.983887f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.998047f, 0.997559f, - 0.997559f, 0.997070f, 0.996582f, 0.996582f, 0.010841f, 0.036865f, 0.070007f, 0.110962f, 0.159546f, 0.214355f, 0.276367f, 0.340576f, - 0.405029f, 0.465820f, 0.523926f, 0.576172f, 0.623535f, 0.664062f, 0.699707f, 0.731445f, 0.758301f, 0.782227f, 0.803223f, 0.821289f, - 0.837891f, 0.852051f, 0.864258f, 0.875488f, 0.884766f, 0.894531f, 0.903320f, 0.910156f, 0.916992f, 0.923828f, 0.928223f, 0.933594f, - 0.938477f, 0.943359f, 0.947266f, 0.950684f, 0.954102f, 0.957520f, 0.960449f, 0.962891f, 0.965820f, 0.968750f, 0.971191f, 0.973145f, - 0.975586f, 0.977539f, 0.978516f, 0.980957f, 0.982422f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.992188f, - 0.993164f, 0.994141f, 0.997559f, 0.997559f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, 0.007637f, 0.026566f, 0.049896f, 0.078247f, - 0.113403f, 0.154663f, 0.202637f, 0.255371f, 0.313232f, 0.372314f, 0.431152f, 0.488037f, 0.540039f, 0.588867f, 0.633301f, 0.670898f, - 0.704102f, 0.734375f, 0.761230f, 0.785156f, 0.804688f, 0.822754f, 0.838867f, 0.852539f, 0.864746f, 0.876953f, 0.886230f, 0.895996f, - 0.903320f, 0.910645f, 0.917480f, 0.923828f, 0.929199f, 0.935059f, 0.938965f, 0.943359f, 0.948730f, 0.952148f, 0.954590f, 0.958496f, - 0.961426f, 0.964355f, 0.966797f, 0.969238f, 0.971680f, 0.974121f, 0.976074f, 0.978027f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, - 0.986816f, 0.987793f, 0.989258f, 0.990723f, 0.991699f, 0.993164f, 0.996582f, 0.996582f, 0.996094f, 0.996094f, 0.996094f, 0.995605f, - 0.005714f, 0.019485f, 0.036194f, 0.056976f, 0.082336f, 0.113342f, 0.149048f, 0.191284f, 0.238770f, 0.290039f, 0.344727f, 0.400391f, - 0.454590f, 0.507324f, 0.557129f, 0.602539f, 0.642578f, 0.679199f, 0.711426f, 0.740234f, 0.766602f, 0.788574f, 0.807617f, 0.825195f, - 0.841309f, 0.854980f, 0.867676f, 0.877930f, 0.888184f, 0.896484f, 0.904785f, 0.912109f, 0.918945f, 0.925293f, 0.930176f, 0.935547f, - 0.940918f, 0.944336f, 0.948730f, 0.952637f, 0.956055f, 0.959473f, 0.962402f, 0.965332f, 0.967773f, 0.970703f, 0.972656f, 0.975098f, - 0.977051f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.996094f, 0.996094f, - 0.996094f, 0.996094f, 0.995605f, 0.995117f, 0.004505f, 0.014908f, 0.027634f, 0.043274f, 0.061707f, 0.084045f, 0.111694f, 0.143921f, - 0.180542f, 0.223877f, 0.270996f, 0.320557f, 0.373291f, 0.425781f, 0.478027f, 0.526855f, 0.573242f, 0.615723f, 0.654785f, 0.688965f, - 0.720215f, 0.747559f, 0.771973f, 0.793457f, 0.812500f, 0.829102f, 0.844238f, 0.858398f, 0.870117f, 0.881348f, 0.890625f, 0.898926f, - 0.906738f, 0.914062f, 0.921387f, 0.926758f, 0.932617f, 0.937500f, 0.942383f, 0.945801f, 0.950684f, 0.954102f, 0.958008f, 0.960938f, - 0.964355f, 0.966797f, 0.969727f, 0.972656f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.984375f, 0.985840f, 0.987793f, - 0.988281f, 0.990234f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995117f, 0.994629f, 0.003691f, 0.011925f, 0.021622f, 0.033203f, - 0.047241f, 0.065247f, 0.085266f, 0.109558f, 0.138550f, 0.172363f, 0.210205f, 0.253418f, 0.299805f, 0.348877f, 0.400146f, 0.450195f, - 0.499512f, 0.546387f, 0.589844f, 0.629883f, 0.666016f, 0.700195f, 0.728516f, 0.755371f, 0.778320f, 0.798828f, 0.817383f, 0.833984f, - 0.848145f, 0.861816f, 0.874023f, 0.883789f, 0.893555f, 0.902344f, 0.910645f, 0.916992f, 0.922852f, 0.929688f, 0.934570f, 0.938965f, - 0.944336f, 0.948730f, 0.951660f, 0.956543f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.970703f, 0.974121f, 0.976074f, 0.978516f, - 0.979980f, 0.981934f, 0.983887f, 0.985840f, 0.987305f, 0.988281f, 0.994629f, 0.995117f, 0.995117f, 0.994629f, 0.994629f, 0.994141f, - 0.002726f, 0.009560f, 0.017136f, 0.026871f, 0.037415f, 0.050079f, 0.066406f, 0.084717f, 0.107849f, 0.133423f, 0.164062f, 0.198853f, - 0.238281f, 0.281250f, 0.327148f, 0.375977f, 0.424805f, 0.473877f, 0.521973f, 0.564941f, 0.606934f, 0.644531f, 0.679199f, 0.710449f, - 0.738770f, 0.764160f, 0.786133f, 0.805664f, 0.824219f, 0.838867f, 0.853516f, 0.866211f, 0.876953f, 0.887695f, 0.896484f, 0.905762f, - 0.912598f, 0.919922f, 0.925781f, 0.932129f, 0.937500f, 0.942383f, 0.946777f, 0.951660f, 0.955078f, 0.958984f, 0.961426f, 0.965332f, - 0.967773f, 0.970703f, 0.972656f, 0.975586f, 0.978027f, 0.979492f, 0.981934f, 0.983887f, 0.984863f, 0.986816f, 0.994629f, 0.994629f, - 0.994629f, 0.994141f, 0.994141f, 0.993652f, 0.002487f, 0.007553f, 0.013863f, 0.021439f, 0.029755f, 0.040771f, 0.052643f, 0.067444f, - 0.084473f, 0.104980f, 0.128784f, 0.157227f, 0.189087f, 0.224609f, 0.265381f, 0.308838f, 0.354004f, 0.401611f, 0.450439f, 0.496582f, - 0.541992f, 0.583984f, 0.623047f, 0.660645f, 0.693359f, 0.722168f, 0.749512f, 0.772949f, 0.793457f, 0.812988f, 0.830078f, 0.845215f, - 0.859375f, 0.871094f, 0.882812f, 0.892090f, 0.900879f, 0.908691f, 0.916504f, 0.922852f, 0.930176f, 0.935547f, 0.940430f, 0.944824f, - 0.949219f, 0.952637f, 0.956543f, 0.960449f, 0.963867f, 0.967285f, 0.970215f, 0.972656f, 0.974609f, 0.977539f, 0.979492f, 0.981934f, - 0.983887f, 0.985352f, 0.993652f, 0.994141f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, 0.001893f, 0.006641f, 0.011551f, 0.017319f, - 0.024612f, 0.032959f, 0.042023f, 0.053772f, 0.067444f, 0.083435f, 0.102356f, 0.123840f, 0.150024f, 0.179688f, 0.213501f, 0.250488f, - 0.291992f, 0.335938f, 0.381592f, 0.427246f, 0.473877f, 0.518555f, 0.563477f, 0.603027f, 0.640625f, 0.676270f, 0.707031f, 0.735352f, - 0.760254f, 0.782715f, 0.802734f, 0.821777f, 0.838379f, 0.851562f, 0.865234f, 0.876953f, 0.886719f, 0.896484f, 0.905273f, 0.913086f, - 0.921387f, 0.927734f, 0.933105f, 0.938477f, 0.942871f, 0.948242f, 0.951660f, 0.955566f, 0.959961f, 0.963867f, 0.966309f, 0.969238f, - 0.972168f, 0.975098f, 0.977539f, 0.979492f, 0.981934f, 0.983887f, 0.993164f, 0.993652f, 0.993164f, 0.993164f, 0.993164f, 0.992676f, - 0.001740f, 0.005634f, 0.009407f, 0.014992f, 0.020157f, 0.026840f, 0.035156f, 0.043793f, 0.054718f, 0.067505f, 0.082092f, 0.099731f, - 0.120239f, 0.143921f, 0.171265f, 0.202393f, 0.237915f, 0.276367f, 0.318848f, 0.362793f, 0.407959f, 0.454346f, 0.499023f, 0.542480f, - 0.583984f, 0.623535f, 0.659180f, 0.691895f, 0.721680f, 0.748047f, 0.772461f, 0.793457f, 0.812988f, 0.829102f, 0.845215f, 0.859863f, - 0.872559f, 0.883789f, 0.893555f, 0.902344f, 0.911133f, 0.918457f, 0.924805f, 0.930664f, 0.937012f, 0.941895f, 0.947266f, 0.951172f, - 0.956055f, 0.959473f, 0.962402f, 0.966309f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.981934f, 0.992188f, 0.992676f, - 0.992676f, 0.992676f, 0.992188f, 0.992676f, 0.001502f, 0.004482f, 0.008278f, 0.012276f, 0.016800f, 0.022644f, 0.029129f, 0.036194f, - 0.045197f, 0.055298f, 0.067017f, 0.080750f, 0.096863f, 0.115906f, 0.138184f, 0.163940f, 0.192993f, 0.225952f, 0.262695f, 0.302490f, - 0.344971f, 0.389648f, 0.434814f, 0.480469f, 0.523926f, 0.566406f, 0.605957f, 0.643066f, 0.677246f, 0.708496f, 0.736816f, 0.761719f, - 0.784668f, 0.804688f, 0.823242f, 0.840332f, 0.854004f, 0.867188f, 0.878906f, 0.890137f, 0.898438f, 0.907715f, 0.916016f, 0.922852f, - 0.930176f, 0.935547f, 0.940918f, 0.946289f, 0.950684f, 0.955078f, 0.959473f, 0.961914f, 0.966309f, 0.969238f, 0.972168f, 0.974609f, - 0.977539f, 0.979492f, 0.991211f, 0.992188f, 0.991699f, 0.992188f, 0.991699f, 0.991211f, 0.001411f, 0.003645f, 0.007160f, 0.010414f, - 0.014397f, 0.018677f, 0.024338f, 0.030426f, 0.037384f, 0.045654f, 0.055054f, 0.066101f, 0.079529f, 0.094543f, 0.112793f, 0.133057f, - 0.157227f, 0.183960f, 0.215210f, 0.250488f, 0.288086f, 0.329102f, 0.372314f, 0.416992f, 0.461914f, 0.505859f, 0.549316f, 0.589355f, - 0.627930f, 0.664062f, 0.695801f, 0.725098f, 0.752441f, 0.775879f, 0.797363f, 0.815918f, 0.833984f, 0.849121f, 0.863281f, 0.875488f, - 0.886230f, 0.895996f, 0.904785f, 0.914062f, 0.920898f, 0.928223f, 0.935059f, 0.940918f, 0.945312f, 0.950195f, 0.954102f, 0.958984f, - 0.962402f, 0.966309f, 0.969238f, 0.972656f, 0.974609f, 0.977539f, 0.990234f, 0.992188f, 0.991211f, 0.991211f, 0.990723f, 0.991211f, - 0.000926f, 0.003523f, 0.006207f, 0.008949f, 0.012718f, 0.016312f, 0.020447f, 0.025467f, 0.031128f, 0.037994f, 0.045532f, 0.054901f, - 0.065430f, 0.077576f, 0.091797f, 0.109131f, 0.128418f, 0.151245f, 0.176636f, 0.206055f, 0.238525f, 0.275146f, 0.314697f, 0.357178f, - 0.400391f, 0.445312f, 0.489746f, 0.531738f, 0.574219f, 0.613281f, 0.650391f, 0.683594f, 0.714355f, 0.742188f, 0.768066f, 0.790039f, - 0.810059f, 0.828125f, 0.843262f, 0.858398f, 0.871582f, 0.883789f, 0.893555f, 0.903809f, 0.912598f, 0.919434f, 0.926758f, 0.933594f, - 0.939453f, 0.944336f, 0.950195f, 0.954590f, 0.958008f, 0.962402f, 0.966309f, 0.969727f, 0.972656f, 0.975586f, 0.989746f, 0.990723f, - 0.990723f, 0.990234f, 0.990234f, 0.990234f, 0.001140f, 0.003021f, 0.005527f, 0.008102f, 0.010445f, 0.013977f, 0.017349f, 0.021637f, - 0.026535f, 0.031677f, 0.038330f, 0.045776f, 0.054382f, 0.064392f, 0.076233f, 0.089844f, 0.105713f, 0.123840f, 0.145020f, 0.169556f, - 0.196899f, 0.229248f, 0.263672f, 0.302002f, 0.342529f, 0.385986f, 0.429932f, 0.473877f, 0.517578f, 0.560547f, 0.600586f, 0.638184f, - 0.672852f, 0.704590f, 0.733398f, 0.759277f, 0.782715f, 0.803711f, 0.823242f, 0.840820f, 0.854980f, 0.869141f, 0.881348f, 0.892090f, - 0.902344f, 0.910645f, 0.919922f, 0.927246f, 0.933105f, 0.938965f, 0.944824f, 0.949707f, 0.954102f, 0.959473f, 0.962891f, 0.966309f, - 0.969727f, 0.972168f, 0.988770f, 0.990234f, 0.989746f, 0.989746f, 0.989746f, 0.989258f, 0.000870f, 0.002666f, 0.004578f, 0.006737f, - 0.009430f, 0.012077f, 0.015381f, 0.018463f, 0.022293f, 0.027313f, 0.032654f, 0.038727f, 0.045746f, 0.053619f, 0.063232f, 0.074524f, - 0.087219f, 0.102356f, 0.119324f, 0.139648f, 0.162842f, 0.189941f, 0.219482f, 0.253174f, 0.289795f, 0.329346f, 0.372070f, 0.415039f, - 0.459717f, 0.503418f, 0.546387f, 0.587402f, 0.625977f, 0.661621f, 0.694336f, 0.725586f, 0.752441f, 0.776855f, 0.798828f, 0.818359f, - 0.837402f, 0.852539f, 0.866699f, 0.878906f, 0.891113f, 0.900879f, 0.910156f, 0.918457f, 0.926270f, 0.932617f, 0.938965f, 0.944824f, - 0.950195f, 0.955078f, 0.958984f, 0.962891f, 0.966797f, 0.970703f, 0.987793f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.988770f, - 0.000835f, 0.002302f, 0.004078f, 0.005802f, 0.008026f, 0.010490f, 0.013153f, 0.016235f, 0.019485f, 0.023636f, 0.027847f, 0.033081f, - 0.038849f, 0.045441f, 0.053253f, 0.062500f, 0.072571f, 0.085205f, 0.098999f, 0.115662f, 0.135254f, 0.156860f, 0.182373f, 0.211060f, - 0.243042f, 0.279053f, 0.318115f, 0.359619f, 0.402832f, 0.447021f, 0.490234f, 0.533691f, 0.575195f, 0.615234f, 0.651855f, 0.686035f, - 0.717285f, 0.746094f, 0.771484f, 0.793945f, 0.813965f, 0.833496f, 0.848633f, 0.864258f, 0.877930f, 0.889648f, 0.900391f, 0.909180f, - 0.918945f, 0.926270f, 0.932129f, 0.939453f, 0.945312f, 0.950684f, 0.955566f, 0.959473f, 0.963867f, 0.967773f, 0.987305f, 0.988281f, - 0.988281f, 0.988281f, 0.988281f, 0.987793f, 0.000815f, 0.001984f, 0.003475f, 0.005302f, 0.007103f, 0.009354f, 0.011528f, 0.013977f, - 0.017197f, 0.020111f, 0.023788f, 0.027771f, 0.033447f, 0.038452f, 0.045013f, 0.052704f, 0.061066f, 0.071228f, 0.082886f, 0.096313f, - 0.112488f, 0.130737f, 0.151245f, 0.175659f, 0.203125f, 0.234619f, 0.269043f, 0.306885f, 0.347656f, 0.390381f, 0.434570f, 0.478760f, - 0.522461f, 0.564453f, 0.605957f, 0.644043f, 0.678223f, 0.710449f, 0.739746f, 0.766602f, 0.791016f, 0.811035f, 0.831055f, 0.847168f, - 0.862793f, 0.875977f, 0.888672f, 0.899414f, 0.909180f, 0.917480f, 0.926270f, 0.933105f, 0.939941f, 0.945801f, 0.950684f, 0.955566f, - 0.960938f, 0.964844f, 0.985840f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, 0.987305f, 0.000587f, 0.002005f, 0.003122f, 0.004707f, - 0.006283f, 0.007778f, 0.009972f, 0.012581f, 0.014435f, 0.017426f, 0.020691f, 0.024475f, 0.028519f, 0.033203f, 0.038513f, 0.044708f, - 0.051727f, 0.060028f, 0.069763f, 0.080627f, 0.093506f, 0.109009f, 0.125977f, 0.146362f, 0.169678f, 0.196533f, 0.226685f, 0.259766f, - 0.297119f, 0.337646f, 0.380127f, 0.424072f, 0.468018f, 0.512207f, 0.555176f, 0.596680f, 0.635254f, 0.671387f, 0.704590f, 0.734863f, - 0.762207f, 0.787109f, 0.809082f, 0.828613f, 0.846191f, 0.860840f, 0.875977f, 0.888184f, 0.899902f, 0.908691f, 0.918457f, 0.926270f, - 0.934082f, 0.940430f, 0.947266f, 0.951660f, 0.958008f, 0.961914f, 0.984863f, 0.986328f, 0.986816f, 0.986816f, 0.986328f, 0.986328f, - 0.000475f, 0.001671f, 0.003019f, 0.004379f, 0.005592f, 0.006882f, 0.008682f, 0.010757f, 0.012856f, 0.015343f, 0.018112f, 0.021164f, - 0.024353f, 0.028595f, 0.033020f, 0.038086f, 0.044006f, 0.050812f, 0.058594f, 0.067993f, 0.078735f, 0.091248f, 0.105530f, 0.122009f, - 0.142212f, 0.164062f, 0.189697f, 0.219238f, 0.251953f, 0.288330f, 0.328125f, 0.369629f, 0.413818f, 0.458008f, 0.503418f, 0.547363f, - 0.588867f, 0.628418f, 0.665039f, 0.699707f, 0.730469f, 0.758301f, 0.784668f, 0.807129f, 0.826660f, 0.844727f, 0.862305f, 0.875977f, - 0.888672f, 0.900879f, 0.910156f, 0.919434f, 0.927734f, 0.935059f, 0.941406f, 0.947754f, 0.953125f, 0.958496f, 0.983887f, 0.985352f, - 0.985352f, 0.985352f, 0.984863f, 0.985352f, 0.000325f, 0.001517f, 0.002554f, 0.003811f, 0.004990f, 0.006638f, 0.007706f, 0.009399f, - 0.011177f, 0.013580f, 0.015671f, 0.018478f, 0.021393f, 0.024612f, 0.028442f, 0.032990f, 0.037750f, 0.043427f, 0.050354f, 0.057861f, - 0.066101f, 0.076294f, 0.088684f, 0.102417f, 0.119080f, 0.137451f, 0.159058f, 0.183838f, 0.212524f, 0.244385f, 0.280273f, 0.319336f, - 0.361084f, 0.405029f, 0.449707f, 0.494873f, 0.539551f, 0.582031f, 0.622559f, 0.660156f, 0.695801f, 0.727539f, 0.756348f, 0.782715f, - 0.805664f, 0.826172f, 0.845215f, 0.861328f, 0.875977f, 0.889648f, 0.901367f, 0.910645f, 0.920410f, 0.928711f, 0.937012f, 0.942871f, - 0.949219f, 0.955078f, 0.982422f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, 0.983887f, 0.000349f, 0.001533f, 0.002413f, 0.003326f, - 0.004463f, 0.005524f, 0.006954f, 0.008202f, 0.010025f, 0.011864f, 0.013924f, 0.015884f, 0.018478f, 0.021484f, 0.024658f, 0.028671f, - 0.032562f, 0.037170f, 0.042969f, 0.049194f, 0.056641f, 0.065063f, 0.074951f, 0.086182f, 0.099731f, 0.115662f, 0.133789f, 0.154175f, - 0.178589f, 0.206421f, 0.237671f, 0.272949f, 0.312012f, 0.352783f, 0.396973f, 0.442627f, 0.487793f, 0.532227f, 0.576660f, 0.617188f, - 0.657227f, 0.692383f, 0.725586f, 0.754395f, 0.780762f, 0.805664f, 0.826172f, 0.845215f, 0.861816f, 0.876465f, 0.890137f, 0.902344f, - 0.912598f, 0.921875f, 0.930176f, 0.937988f, 0.945312f, 0.952148f, 0.981445f, 0.982910f, 0.982910f, 0.983398f, 0.983398f, 0.983398f, - 0.000475f, 0.001141f, 0.002058f, 0.002846f, 0.004120f, 0.005013f, 0.006207f, 0.007664f, 0.009193f, 0.010368f, 0.012222f, 0.014404f, - 0.016403f, 0.018799f, 0.021439f, 0.024567f, 0.028076f, 0.032379f, 0.036652f, 0.042145f, 0.048157f, 0.055389f, 0.063660f, 0.073059f, - 0.083740f, 0.097046f, 0.112366f, 0.129517f, 0.149780f, 0.173584f, 0.200684f, 0.231812f, 0.266357f, 0.304688f, 0.346680f, 0.390137f, - 0.435547f, 0.481445f, 0.526367f, 0.572266f, 0.613770f, 0.653320f, 0.690430f, 0.723633f, 0.754395f, 0.781250f, 0.806152f, 0.826172f, - 0.847168f, 0.862793f, 0.878906f, 0.892090f, 0.904297f, 0.914551f, 0.924316f, 0.933105f, 0.940430f, 0.947754f, 0.979492f, 0.981934f, - 0.981934f, 0.981934f, 0.981445f, 0.981445f, 0.000239f, 0.000882f, 0.001744f, 0.002878f, 0.003819f, 0.004532f, 0.005550f, 0.006653f, - 0.007942f, 0.009277f, 0.010628f, 0.012421f, 0.014397f, 0.016312f, 0.018845f, 0.021576f, 0.024536f, 0.027817f, 0.031860f, 0.036346f, - 0.041595f, 0.047333f, 0.054138f, 0.062317f, 0.071350f, 0.081970f, 0.094299f, 0.109070f, 0.126221f, 0.146118f, 0.169067f, 0.195801f, - 0.226196f, 0.260742f, 0.298584f, 0.340088f, 0.384277f, 0.429688f, 0.476807f, 0.522461f, 0.568359f, 0.611328f, 0.651855f, 0.689453f, - 0.723633f, 0.754395f, 0.782715f, 0.807617f, 0.829590f, 0.848145f, 0.865723f, 0.880859f, 0.894531f, 0.906738f, 0.917969f, 0.927246f, - 0.936035f, 0.943359f, 0.978027f, 0.979980f, 0.980469f, 0.980469f, 0.980469f, 0.980469f, 0.000240f, 0.000948f, 0.001495f, 0.002592f, - 0.003241f, 0.004055f, 0.004856f, 0.006111f, 0.007133f, 0.008125f, 0.009445f, 0.011108f, 0.012474f, 0.014374f, 0.016586f, 0.018784f, - 0.021286f, 0.024475f, 0.027481f, 0.031403f, 0.035828f, 0.040710f, 0.046204f, 0.052704f, 0.060577f, 0.069519f, 0.079651f, 0.092224f, - 0.106506f, 0.122986f, 0.142456f, 0.165161f, 0.191284f, 0.221924f, 0.255615f, 0.293457f, 0.335205f, 0.379395f, 0.425537f, 0.472900f, - 0.519531f, 0.566406f, 0.610840f, 0.652344f, 0.689941f, 0.724609f, 0.755371f, 0.784180f, 0.808594f, 0.831055f, 0.851562f, 0.869141f, - 0.884277f, 0.897461f, 0.909668f, 0.920410f, 0.930176f, 0.937988f, 0.976562f, 0.979004f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, - 0.000302f, 0.000863f, 0.001315f, 0.002195f, 0.002905f, 0.003592f, 0.004784f, 0.005478f, 0.006199f, 0.007389f, 0.008545f, 0.009811f, - 0.011185f, 0.012787f, 0.014603f, 0.016342f, 0.018784f, 0.021347f, 0.024033f, 0.027496f, 0.031006f, 0.034790f, 0.039856f, 0.045288f, - 0.051636f, 0.059052f, 0.067566f, 0.078003f, 0.089905f, 0.103760f, 0.119934f, 0.139282f, 0.161865f, 0.187622f, 0.217407f, 0.251221f, - 0.288818f, 0.330811f, 0.375244f, 0.422607f, 0.470703f, 0.518066f, 0.565430f, 0.609863f, 0.651855f, 0.691406f, 0.726562f, 0.758301f, - 0.787109f, 0.812500f, 0.835449f, 0.855957f, 0.872559f, 0.887695f, 0.901367f, 0.913574f, 0.923828f, 0.933105f, 0.975098f, 0.977539f, - 0.977539f, 0.977539f, 0.978027f, 0.977051f, 0.000240f, 0.000808f, 0.001537f, 0.002106f, 0.002493f, 0.003729f, 0.004036f, 0.004982f, - 0.005539f, 0.006454f, 0.007526f, 0.008690f, 0.009987f, 0.011421f, 0.012894f, 0.014618f, 0.016464f, 0.018539f, 0.021118f, 0.023865f, - 0.026794f, 0.030487f, 0.034241f, 0.038879f, 0.044067f, 0.050690f, 0.057678f, 0.066040f, 0.076111f, 0.087524f, 0.101379f, 0.117737f, - 0.136353f, 0.158325f, 0.183594f, 0.213501f, 0.247192f, 0.284912f, 0.327393f, 0.372803f, 0.420410f, 0.468750f, 0.518066f, 0.565430f, - 0.611328f, 0.654297f, 0.694336f, 0.729980f, 0.762207f, 0.791504f, 0.817383f, 0.839844f, 0.859863f, 0.876953f, 0.891602f, 0.905762f, - 0.917480f, 0.928711f, 0.973633f, 0.975098f, 0.976562f, 0.975586f, 0.976562f, 0.976562f, 0.000240f, 0.000587f, 0.001223f, 0.001691f, - 0.002499f, 0.003008f, 0.003643f, 0.004295f, 0.004795f, 0.005726f, 0.006649f, 0.007671f, 0.008766f, 0.010002f, 0.011307f, 0.012764f, - 0.014465f, 0.016388f, 0.018387f, 0.020599f, 0.023453f, 0.026291f, 0.029572f, 0.033417f, 0.037964f, 0.043427f, 0.049316f, 0.056519f, - 0.064819f, 0.074219f, 0.085693f, 0.099121f, 0.115112f, 0.133301f, 0.155273f, 0.180420f, 0.210205f, 0.244751f, 0.282715f, 0.324951f, - 0.371338f, 0.419434f, 0.468994f, 0.518555f, 0.566895f, 0.613770f, 0.658203f, 0.698242f, 0.735352f, 0.766602f, 0.796875f, 0.821289f, - 0.844238f, 0.863770f, 0.881836f, 0.896973f, 0.910156f, 0.922363f, 0.971191f, 0.974121f, 0.974609f, 0.974121f, 0.974609f, 0.974609f, - 0.000228f, 0.000671f, 0.001122f, 0.001607f, 0.002291f, 0.002836f, 0.003319f, 0.003817f, 0.004509f, 0.005253f, 0.005894f, 0.006840f, - 0.007820f, 0.008972f, 0.010086f, 0.011391f, 0.012848f, 0.014328f, 0.016266f, 0.018158f, 0.020447f, 0.022720f, 0.026031f, 0.029053f, - 0.032593f, 0.037109f, 0.042236f, 0.048340f, 0.055115f, 0.063049f, 0.072632f, 0.083801f, 0.097351f, 0.112488f, 0.130493f, 0.152222f, - 0.178101f, 0.208008f, 0.241943f, 0.280762f, 0.323730f, 0.370117f, 0.419434f, 0.470459f, 0.520996f, 0.570801f, 0.617676f, 0.663086f, - 0.704102f, 0.740234f, 0.773438f, 0.802246f, 0.829102f, 0.850098f, 0.870117f, 0.887695f, 0.902832f, 0.916016f, 0.969238f, 0.972168f, - 0.972168f, 0.972656f, 0.972656f, 0.972168f, 0.000121f, 0.000526f, 0.001092f, 0.001670f, 0.001744f, 0.002420f, 0.002945f, 0.003237f, - 0.004013f, 0.004894f, 0.005421f, 0.005932f, 0.006996f, 0.007904f, 0.008873f, 0.009995f, 0.011391f, 0.012756f, 0.014053f, 0.015884f, - 0.017715f, 0.019775f, 0.022324f, 0.025406f, 0.028290f, 0.032349f, 0.036560f, 0.041412f, 0.047058f, 0.053772f, 0.061493f, 0.070862f, - 0.081848f, 0.094666f, 0.110229f, 0.128662f, 0.150024f, 0.175903f, 0.205566f, 0.239990f, 0.279785f, 0.323486f, 0.370850f, 0.421143f, - 0.473633f, 0.524902f, 0.576172f, 0.625000f, 0.668457f, 0.710938f, 0.748535f, 0.781250f, 0.810059f, 0.835449f, 0.857910f, 0.877441f, - 0.894531f, 0.908691f, 0.966797f, 0.970215f, 0.970703f, 0.970703f, 0.970703f, 0.970215f, 0.000127f, 0.000521f, 0.001083f, 0.001460f, - 0.001684f, 0.002111f, 0.002563f, 0.003048f, 0.003618f, 0.004124f, 0.004936f, 0.005543f, 0.006340f, 0.007111f, 0.008049f, 0.008774f, - 0.009865f, 0.011162f, 0.012360f, 0.013840f, 0.015465f, 0.017181f, 0.019531f, 0.021973f, 0.024582f, 0.027847f, 0.031342f, 0.035706f, - 0.040100f, 0.045990f, 0.052521f, 0.060089f, 0.069214f, 0.080017f, 0.093079f, 0.108521f, 0.126709f, 0.148071f, 0.174072f, 0.204224f, - 0.239502f, 0.279541f, 0.324219f, 0.373047f, 0.424805f, 0.477295f, 0.530762f, 0.583008f, 0.632324f, 0.677246f, 0.719727f, 0.756348f, - 0.789551f, 0.819336f, 0.842773f, 0.866211f, 0.885742f, 0.901855f, 0.965332f, 0.967773f, 0.968262f, 0.967773f, 0.968750f, 0.968262f, - 0.000244f, 0.000397f, 0.001001f, 0.001181f, 0.001642f, 0.001872f, 0.002460f, 0.002712f, 0.003061f, 0.003723f, 0.004520f, 0.005043f, - 0.005547f, 0.006451f, 0.007057f, 0.007828f, 0.008942f, 0.009872f, 0.010857f, 0.012131f, 0.013557f, 0.015198f, 0.017059f, 0.019241f, - 0.021454f, 0.024048f, 0.027069f, 0.030594f, 0.034332f, 0.039001f, 0.044952f, 0.050873f, 0.058716f, 0.067505f, 0.078369f, 0.091309f, - 0.106506f, 0.124695f, 0.146484f, 0.172852f, 0.203369f, 0.239014f, 0.280273f, 0.326172f, 0.376465f, 0.429443f, 0.483643f, 0.538574f, - 0.591309f, 0.641602f, 0.687500f, 0.729492f, 0.766602f, 0.800293f, 0.828613f, 0.854004f, 0.874512f, 0.893555f, 0.961914f, 0.965332f, - 0.965820f, 0.966309f, 0.966309f, 0.965820f, 0.000243f, 0.000453f, 0.000888f, 0.001245f, 0.001342f, 0.001847f, 0.002060f, 0.002541f, - 0.002991f, 0.003355f, 0.003679f, 0.004379f, 0.005177f, 0.005413f, 0.006283f, 0.007038f, 0.007896f, 0.008507f, 0.009552f, 0.010628f, - 0.011909f, 0.013306f, 0.015038f, 0.016388f, 0.018433f, 0.020752f, 0.023254f, 0.026413f, 0.029617f, 0.033447f, 0.037842f, 0.043701f, - 0.049896f, 0.057190f, 0.066101f, 0.076660f, 0.089600f, 0.104553f, 0.123230f, 0.145386f, 0.171387f, 0.202637f, 0.239624f, 0.281982f, - 0.329346f, 0.380859f, 0.436035f, 0.491943f, 0.547852f, 0.602539f, 0.653809f, 0.699707f, 0.741699f, 0.778320f, 0.811035f, 0.838867f, - 0.862793f, 0.884766f, 0.959961f, 0.963379f, 0.963379f, 0.963379f, 0.964355f, 0.963379f, 0.000241f, 0.000452f, 0.000798f, 0.001119f, - 0.001220f, 0.001430f, 0.001902f, 0.002277f, 0.002737f, 0.002893f, 0.003624f, 0.003937f, 0.004436f, 0.005089f, 0.005669f, 0.006226f, - 0.006680f, 0.007519f, 0.008568f, 0.009384f, 0.010422f, 0.011795f, 0.012840f, 0.014526f, 0.016235f, 0.017929f, 0.020218f, 0.022736f, - 0.025146f, 0.028580f, 0.032684f, 0.036896f, 0.042511f, 0.048431f, 0.055634f, 0.064453f, 0.075317f, 0.088196f, 0.103333f, 0.121948f, - 0.144287f, 0.171143f, 0.203491f, 0.241577f, 0.285156f, 0.334229f, 0.387939f, 0.444580f, 0.501953f, 0.559570f, 0.614746f, 0.666504f, - 0.712402f, 0.755371f, 0.791504f, 0.823242f, 0.851074f, 0.875000f, 0.956543f, 0.959961f, 0.960938f, 0.960449f, 0.960449f, 0.960449f, - 0.000000f, 0.000263f, 0.000693f, 0.000873f, 0.001183f, 0.001447f, 0.001476f, 0.002068f, 0.002171f, 0.002857f, 0.003164f, 0.003542f, - 0.003778f, 0.004326f, 0.004906f, 0.005436f, 0.006126f, 0.006687f, 0.007229f, 0.008377f, 0.009232f, 0.010223f, 0.011436f, 0.012527f, - 0.013832f, 0.015747f, 0.017365f, 0.019363f, 0.021667f, 0.024231f, 0.027695f, 0.031769f, 0.035889f, 0.041016f, 0.047028f, 0.054504f, - 0.063110f, 0.073975f, 0.086487f, 0.101807f, 0.120972f, 0.143555f, 0.171753f, 0.204956f, 0.244263f, 0.289551f, 0.340576f, 0.396484f, - 0.455078f, 0.514648f, 0.573730f, 0.630371f, 0.681152f, 0.729004f, 0.770020f, 0.806641f, 0.837402f, 0.863770f, 0.953613f, 0.956543f, - 0.957520f, 0.957031f, 0.957031f, 0.958008f, 0.000000f, 0.000356f, 0.000641f, 0.000870f, 0.000998f, 0.001134f, 0.001495f, 0.001724f, - 0.002436f, 0.002478f, 0.002775f, 0.003113f, 0.003435f, 0.003864f, 0.004314f, 0.004704f, 0.005276f, 0.005886f, 0.006599f, 0.007309f, - 0.008003f, 0.008987f, 0.009987f, 0.010941f, 0.012192f, 0.013466f, 0.015030f, 0.016708f, 0.018906f, 0.021103f, 0.023788f, 0.026886f, - 0.030457f, 0.034943f, 0.040009f, 0.045959f, 0.053162f, 0.061920f, 0.072144f, 0.085205f, 0.101257f, 0.120422f, 0.143555f, 0.172363f, - 0.206909f, 0.248047f, 0.295410f, 0.349121f, 0.407715f, 0.468750f, 0.530762f, 0.589844f, 0.647949f, 0.699707f, 0.746094f, 0.786621f, - 0.823242f, 0.852051f, 0.950195f, 0.953125f, 0.954102f, 0.954102f, 0.954102f, 0.954102f, 0.000231f, 0.000449f, 0.000516f, 0.000760f, - 0.000868f, 0.001152f, 0.001403f, 0.001773f, 0.002165f, 0.002245f, 0.002550f, 0.002783f, 0.003277f, 0.003660f, 0.003782f, 0.004120f, - 0.004631f, 0.005268f, 0.005795f, 0.006344f, 0.007053f, 0.007835f, 0.008598f, 0.009460f, 0.010689f, 0.011551f, 0.012726f, 0.014359f, - 0.016052f, 0.017975f, 0.020218f, 0.022812f, 0.025803f, 0.029251f, 0.033386f, 0.038574f, 0.044556f, 0.051941f, 0.060577f, 0.071045f, - 0.084106f, 0.100342f, 0.119751f, 0.144043f, 0.174194f, 0.209961f, 0.253418f, 0.303467f, 0.359619f, 0.420898f, 0.483887f, 0.547852f, - 0.609375f, 0.667480f, 0.719727f, 0.765625f, 0.804688f, 0.839844f, 0.946289f, 0.949707f, 0.950195f, 0.950684f, 0.950684f, 0.950195f, - 0.000201f, 0.000336f, 0.000452f, 0.000627f, 0.000793f, 0.000966f, 0.001134f, 0.001578f, 0.001790f, 0.001896f, 0.002254f, 0.002464f, - 0.002825f, 0.003012f, 0.003414f, 0.003626f, 0.004131f, 0.004608f, 0.005058f, 0.005642f, 0.006191f, 0.006771f, 0.007378f, 0.008057f, - 0.009132f, 0.009918f, 0.010826f, 0.012314f, 0.013794f, 0.015381f, 0.017197f, 0.019257f, 0.021912f, 0.024841f, 0.028259f, 0.032318f, - 0.037262f, 0.043427f, 0.050537f, 0.059021f, 0.070007f, 0.083191f, 0.099609f, 0.120239f, 0.145508f, 0.176636f, 0.214600f, 0.260254f, - 0.313232f, 0.372803f, 0.437012f, 0.503418f, 0.568359f, 0.631836f, 0.688965f, 0.741211f, 0.786621f, 0.825195f, 0.941406f, 0.946289f, - 0.946289f, 0.946777f, 0.946289f, 0.947266f, 0.000000f, 0.000317f, 0.000445f, 0.000453f, 0.000781f, 0.000794f, 0.001183f, 0.001289f, - 0.001479f, 0.001832f, 0.001874f, 0.002256f, 0.002270f, 0.002716f, 0.002960f, 0.003273f, 0.003630f, 0.003948f, 0.004467f, 0.004833f, - 0.005451f, 0.005962f, 0.006367f, 0.007088f, 0.007717f, 0.008400f, 0.009506f, 0.010445f, 0.011658f, 0.012993f, 0.014618f, 0.016357f, - 0.018524f, 0.021210f, 0.023712f, 0.027252f, 0.031219f, 0.036041f, 0.041962f, 0.049194f, 0.057892f, 0.068604f, 0.082642f, 0.099304f, - 0.120728f, 0.147217f, 0.180054f, 0.221191f, 0.269287f, 0.325928f, 0.388916f, 0.457275f, 0.525391f, 0.593262f, 0.657715f, 0.714355f, - 0.766113f, 0.809082f, 0.937500f, 0.940918f, 0.941895f, 0.941895f, 0.941895f, 0.942383f, 0.000243f, 0.000238f, 0.000411f, 0.000532f, - 0.000530f, 0.000764f, 0.000853f, 0.001171f, 0.001417f, 0.001545f, 0.001799f, 0.001900f, 0.002094f, 0.002354f, 0.002577f, 0.002703f, - 0.003155f, 0.003428f, 0.003809f, 0.004227f, 0.004677f, 0.004997f, 0.005386f, 0.005913f, 0.006741f, 0.007225f, 0.008057f, 0.008873f, - 0.009819f, 0.011101f, 0.012253f, 0.013725f, 0.015488f, 0.017410f, 0.019791f, 0.022598f, 0.025635f, 0.030014f, 0.034973f, 0.040527f, - 0.047729f, 0.056702f, 0.067505f, 0.081848f, 0.099609f, 0.121521f, 0.149902f, 0.185181f, 0.228516f, 0.280762f, 0.341553f, 0.408936f, - 0.480225f, 0.552246f, 0.622070f, 0.686035f, 0.742188f, 0.792480f, 0.932129f, 0.935547f, 0.937012f, 0.937012f, 0.936523f, 0.937500f, - 0.000000f, 0.000232f, 0.000330f, 0.000512f, 0.000523f, 0.000907f, 0.000953f, 0.001018f, 0.001234f, 0.001344f, 0.001610f, 0.001612f, - 0.001845f, 0.002054f, 0.002218f, 0.002453f, 0.002829f, 0.003105f, 0.003300f, 0.003712f, 0.003853f, 0.004280f, 0.004631f, 0.005112f, - 0.005665f, 0.006279f, 0.006779f, 0.007481f, 0.008362f, 0.009270f, 0.010338f, 0.011505f, 0.012848f, 0.014549f, 0.016403f, 0.018936f, - 0.021622f, 0.024750f, 0.028900f, 0.033447f, 0.039185f, 0.046448f, 0.055603f, 0.067078f, 0.081238f, 0.100037f, 0.123230f, 0.153564f, - 0.191284f, 0.238525f, 0.295166f, 0.361084f, 0.432861f, 0.507812f, 0.582520f, 0.653320f, 0.717285f, 0.772461f, 0.926270f, 0.931152f, - 0.931152f, 0.932129f, 0.932129f, 0.932129f, 0.000118f, 0.000219f, 0.000227f, 0.000405f, 0.000689f, 0.000726f, 0.000910f, 0.000847f, - 0.001072f, 0.001114f, 0.001388f, 0.001447f, 0.001656f, 0.001811f, 0.001897f, 0.002253f, 0.002373f, 0.002617f, 0.002796f, 0.003054f, - 0.003414f, 0.003681f, 0.003929f, 0.004353f, 0.004902f, 0.005322f, 0.005863f, 0.006424f, 0.007000f, 0.007755f, 0.008675f, 0.009506f, - 0.010704f, 0.012215f, 0.013557f, 0.015686f, 0.017807f, 0.020630f, 0.023376f, 0.027328f, 0.032013f, 0.038177f, 0.045288f, 0.054626f, - 0.066284f, 0.081543f, 0.100891f, 0.125977f, 0.158447f, 0.199951f, 0.251465f, 0.313965f, 0.384521f, 0.461670f, 0.540527f, 0.617188f, - 0.688965f, 0.750977f, 0.920410f, 0.924805f, 0.925781f, 0.926270f, 0.926758f, 0.925781f, 0.000230f, 0.000198f, 0.000217f, 0.000338f, - 0.000584f, 0.000786f, 0.000699f, 0.000893f, 0.000954f, 0.000959f, 0.001153f, 0.001165f, 0.001375f, 0.001545f, 0.001752f, 0.001752f, - 0.002062f, 0.002235f, 0.002399f, 0.002699f, 0.002853f, 0.002995f, 0.003372f, 0.003603f, 0.003944f, 0.004513f, 0.004704f, 0.005226f, - 0.005878f, 0.006527f, 0.006992f, 0.007889f, 0.008919f, 0.010002f, 0.011124f, 0.012604f, 0.014526f, 0.016510f, 0.019104f, 0.022308f, - 0.026077f, 0.030701f, 0.036774f, 0.044098f, 0.053558f, 0.065735f, 0.081299f, 0.101990f, 0.129517f, 0.164917f, 0.210938f, 0.268066f, - 0.336914f, 0.413818f, 0.496094f, 0.579102f, 0.657227f, 0.727539f, 0.913574f, 0.917969f, 0.918945f, 0.919434f, 0.919922f, 0.919922f, - 0.000000f, 0.000101f, 0.000214f, 0.000208f, 0.000339f, 0.000461f, 0.000577f, 0.000780f, 0.000777f, 0.000840f, 0.000853f, 0.001064f, - 0.001198f, 0.001327f, 0.001489f, 0.001687f, 0.001809f, 0.001884f, 0.002008f, 0.002129f, 0.002434f, 0.002514f, 0.002949f, 0.003000f, - 0.003351f, 0.003674f, 0.003918f, 0.004356f, 0.004875f, 0.005310f, 0.005768f, 0.006458f, 0.007244f, 0.008255f, 0.008949f, 0.010361f, - 0.011589f, 0.013290f, 0.015335f, 0.017776f, 0.020828f, 0.024521f, 0.029236f, 0.035431f, 0.042694f, 0.052490f, 0.065369f, 0.082336f, - 0.104492f, 0.134277f, 0.173828f, 0.225464f, 0.290039f, 0.365234f, 0.449707f, 0.536133f, 0.623047f, 0.702637f, 0.905273f, 0.911133f, - 0.912598f, 0.913086f, 0.913086f, 0.913086f, 0.000000f, 0.000167f, 0.000167f, 0.000316f, 0.000432f, 0.000444f, 0.000608f, 0.000611f, - 0.000678f, 0.000750f, 0.000899f, 0.000925f, 0.001043f, 0.001125f, 0.001222f, 0.001343f, 0.001470f, 0.001608f, 0.001679f, 0.001804f, - 0.001976f, 0.002234f, 0.002361f, 0.002710f, 0.002748f, 0.003035f, 0.003290f, 0.003647f, 0.003990f, 0.004295f, 0.004745f, 0.005318f, - 0.005920f, 0.006618f, 0.007347f, 0.008270f, 0.009361f, 0.010719f, 0.012291f, 0.014221f, 0.016693f, 0.019592f, 0.023239f, 0.027969f, - 0.033752f, 0.041534f, 0.051666f, 0.065369f, 0.083618f, 0.108276f, 0.141357f, 0.186035f, 0.244141f, 0.316650f, 0.400635f, 0.491699f, - 0.585938f, 0.672852f, 0.897461f, 0.903320f, 0.904297f, 0.903809f, 0.903809f, 0.904297f, 0.000000f, 0.000098f, 0.000145f, 0.000289f, - 0.000399f, 0.000424f, 0.000429f, 0.000382f, 0.000529f, 0.000613f, 0.000660f, 0.000836f, 0.000907f, 0.000940f, 0.001005f, 0.001188f, - 0.001306f, 0.001451f, 0.001420f, 0.001554f, 0.001667f, 0.001783f, 0.001955f, 0.002125f, 0.002357f, 0.002493f, 0.002760f, 0.002867f, - 0.003298f, 0.003626f, 0.003878f, 0.004341f, 0.004704f, 0.005356f, 0.005905f, 0.006512f, 0.007435f, 0.008377f, 0.009598f, 0.011055f, - 0.012978f, 0.015388f, 0.018036f, 0.021698f, 0.026337f, 0.032532f, 0.040192f, 0.050995f, 0.065125f, 0.085510f, 0.113037f, 0.150513f, - 0.201538f, 0.268799f, 0.351318f, 0.444824f, 0.543457f, 0.641602f, 0.888672f, 0.894043f, 0.894531f, 0.895508f, 0.895020f, 0.895508f, - 0.000000f, 0.000000f, 0.000032f, 0.000169f, 0.000338f, 0.000372f, 0.000468f, 0.000471f, 0.000460f, 0.000493f, 0.000588f, 0.000715f, - 0.000762f, 0.000912f, 0.000831f, 0.001001f, 0.001043f, 0.001133f, 0.001242f, 0.001312f, 0.001446f, 0.001529f, 0.001647f, 0.001829f, - 0.001982f, 0.002121f, 0.002165f, 0.002438f, 0.002628f, 0.002865f, 0.003113f, 0.003424f, 0.003622f, 0.004131f, 0.004639f, 0.005222f, - 0.005875f, 0.006622f, 0.007496f, 0.008575f, 0.009987f, 0.011665f, 0.013985f, 0.016617f, 0.019913f, 0.024704f, 0.030960f, 0.039185f, - 0.050323f, 0.066284f, 0.088196f, 0.119568f, 0.163208f, 0.223511f, 0.302002f, 0.395752f, 0.499756f, 0.605957f, 0.878418f, 0.883301f, - 0.884766f, 0.884766f, 0.885254f, 0.885254f, 0.000000f, 0.000000f, 0.000000f, 0.000216f, 0.000237f, 0.000338f, 0.000387f, 0.000341f, - 0.000435f, 0.000441f, 0.000461f, 0.000577f, 0.000544f, 0.000720f, 0.000813f, 0.000823f, 0.000912f, 0.000936f, 0.000994f, 0.001026f, - 0.001240f, 0.001268f, 0.001365f, 0.001415f, 0.001590f, 0.001565f, 0.001870f, 0.001929f, 0.002123f, 0.002377f, 0.002430f, 0.002565f, - 0.002947f, 0.003384f, 0.003662f, 0.004105f, 0.004513f, 0.005047f, 0.005741f, 0.006550f, 0.007549f, 0.008865f, 0.010612f, 0.012466f, - 0.015350f, 0.018677f, 0.023270f, 0.029800f, 0.038361f, 0.050323f, 0.067932f, 0.092590f, 0.129395f, 0.181274f, 0.253418f, 0.345459f, - 0.452637f, 0.567383f, 0.866699f, 0.872559f, 0.873047f, 0.873535f, 0.873047f, 0.873535f, 0.000000f, 0.000000f, 0.000121f, 0.000182f, - 0.000187f, 0.000237f, 0.000264f, 0.000360f, 0.000360f, 0.000397f, 0.000398f, 0.000412f, 0.000432f, 0.000546f, 0.000575f, 0.000690f, - 0.000731f, 0.000727f, 0.000807f, 0.000843f, 0.000924f, 0.001034f, 0.001093f, 0.001111f, 0.001251f, 0.001249f, 0.001334f, 0.001612f, - 0.001717f, 0.001820f, 0.002090f, 0.002161f, 0.002354f, 0.002600f, 0.002787f, 0.003119f, 0.003586f, 0.003878f, 0.004452f, 0.004913f, - 0.005772f, 0.006508f, 0.007679f, 0.009285f, 0.011086f, 0.013840f, 0.016968f, 0.021820f, 0.028259f, 0.037628f, 0.050812f, 0.070129f, - 0.099670f, 0.143433f, 0.207031f, 0.294922f, 0.403076f, 0.525879f, 0.853516f, 0.859375f, 0.860840f, 0.860352f, 0.862305f, 0.861328f, - 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000181f, 0.000198f, 0.000181f, 0.000240f, 0.000275f, 0.000311f, 0.000427f, 0.000447f, - 0.000395f, 0.000472f, 0.000456f, 0.000557f, 0.000518f, 0.000562f, 0.000635f, 0.000664f, 0.000868f, 0.000887f, 0.000865f, 0.001025f, - 0.001014f, 0.001164f, 0.001096f, 0.001317f, 0.001382f, 0.001432f, 0.001445f, 0.001765f, 0.001744f, 0.002100f, 0.002144f, 0.002350f, - 0.002655f, 0.002947f, 0.003294f, 0.003780f, 0.004265f, 0.004971f, 0.005699f, 0.006786f, 0.007957f, 0.009636f, 0.011932f, 0.015823f, - 0.020142f, 0.026749f, 0.036530f, 0.051392f, 0.073792f, 0.109375f, 0.164185f, 0.244629f, 0.351562f, 0.479980f, 0.839355f, 0.844727f, - 0.846680f, 0.847656f, 0.847168f, 0.846680f, 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000162f, 0.000133f, 0.000170f, 0.000201f, - 0.000204f, 0.000222f, 0.000258f, 0.000285f, 0.000324f, 0.000327f, 0.000422f, 0.000395f, 0.000431f, 0.000517f, 0.000632f, 0.000529f, - 0.000589f, 0.000592f, 0.000735f, 0.000714f, 0.000795f, 0.000778f, 0.000823f, 0.001063f, 0.001080f, 0.001141f, 0.001154f, 0.001308f, - 0.001439f, 0.001546f, 0.001689f, 0.001886f, 0.001978f, 0.002174f, 0.002377f, 0.002798f, 0.003277f, 0.003519f, 0.004181f, 0.004780f, - 0.005768f, 0.006863f, 0.008644f, 0.010750f, 0.014030f, 0.018448f, 0.025635f, 0.036194f, 0.053223f, 0.080811f, 0.125610f, 0.196533f, - 0.299316f, 0.430176f, 0.822754f, 0.830078f, 0.831055f, 0.831543f, 0.832031f, 0.831543f, 0.000000f, 0.000121f, 0.000120f, 0.000118f, - 0.000117f, 0.000120f, 0.000123f, 0.000151f, 0.000154f, 0.000175f, 0.000254f, 0.000190f, 0.000211f, 0.000306f, 0.000335f, 0.000358f, - 0.000394f, 0.000417f, 0.000443f, 0.000410f, 0.000565f, 0.000565f, 0.000491f, 0.000623f, 0.000616f, 0.000631f, 0.000738f, 0.000676f, - 0.000759f, 0.000924f, 0.000895f, 0.001030f, 0.001064f, 0.001176f, 0.001267f, 0.001438f, 0.001518f, 0.001704f, 0.001742f, 0.002028f, - 0.002384f, 0.002703f, 0.002972f, 0.003393f, 0.004051f, 0.004959f, 0.005993f, 0.007271f, 0.009277f, 0.012390f, 0.016968f, 0.024368f, - 0.036560f, 0.056610f, 0.091797f, 0.151245f, 0.246460f, 0.379639f, 0.805664f, 0.812500f, 0.813477f, 0.813965f, 0.813965f, 0.813965f, - 0.000000f, 0.000000f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000113f, 0.000108f, 0.000127f, 0.000153f, 0.000133f, 0.000202f, - 0.000217f, 0.000223f, 0.000242f, 0.000186f, 0.000280f, 0.000304f, 0.000318f, 0.000342f, 0.000338f, 0.000473f, 0.000360f, 0.000484f, - 0.000422f, 0.000514f, 0.000527f, 0.000571f, 0.000633f, 0.000568f, 0.000639f, 0.000816f, 0.000789f, 0.000889f, 0.000891f, 0.000966f, - 0.001125f, 0.001276f, 0.001316f, 0.001496f, 0.001658f, 0.001818f, 0.002047f, 0.002502f, 0.002781f, 0.003201f, 0.003914f, 0.004795f, - 0.006096f, 0.007996f, 0.010918f, 0.015617f, 0.023697f, 0.037567f, 0.063477f, 0.111084f, 0.194824f, 0.324951f, 0.786133f, 0.792969f, - 0.794434f, 0.793945f, 0.794922f, 0.794434f, 0.000000f, 0.000119f, 0.000117f, 0.000115f, 0.000113f, 0.000112f, 0.000110f, 0.000109f, - 0.000104f, 0.000098f, 0.000099f, 0.000136f, 0.000112f, 0.000126f, 0.000175f, 0.000189f, 0.000196f, 0.000220f, 0.000216f, 0.000247f, - 0.000258f, 0.000274f, 0.000285f, 0.000309f, 0.000308f, 0.000321f, 0.000381f, 0.000390f, 0.000475f, 0.000511f, 0.000485f, 0.000501f, - 0.000641f, 0.000588f, 0.000652f, 0.000764f, 0.000808f, 0.000952f, 0.000906f, 0.001037f, 0.001110f, 0.001249f, 0.001411f, 0.001647f, - 0.001894f, 0.002159f, 0.002687f, 0.003223f, 0.004036f, 0.005150f, 0.006989f, 0.009644f, 0.014420f, 0.023361f, 0.040802f, 0.076050f, - 0.146362f, 0.269287f, 0.763184f, 0.770996f, 0.771973f, 0.771973f, 0.772461f, 0.772461f, 0.000121f, 0.000116f, 0.000114f, 0.000112f, - 0.000109f, 0.000108f, 0.000106f, 0.000105f, 0.000104f, 0.000101f, 0.000095f, 0.000090f, 0.000085f, 0.000083f, 0.000104f, 0.000097f, - 0.000094f, 0.000154f, 0.000127f, 0.000178f, 0.000197f, 0.000194f, 0.000233f, 0.000213f, 0.000279f, 0.000294f, 0.000293f, 0.000258f, - 0.000319f, 0.000394f, 0.000344f, 0.000369f, 0.000394f, 0.000410f, 0.000438f, 0.000509f, 0.000514f, 0.000580f, 0.000617f, 0.000684f, - 0.000807f, 0.000812f, 0.000914f, 0.001094f, 0.001183f, 0.001436f, 0.001639f, 0.002033f, 0.002523f, 0.003073f, 0.004063f, 0.005680f, - 0.008560f, 0.013466f, 0.024109f, 0.047791f, 0.102051f, 0.213867f, 0.740234f, 0.746582f, 0.748047f, 0.748535f, 0.749023f, 0.749023f, - 0.000000f, 0.000113f, 0.000108f, 0.000107f, 0.000104f, 0.000102f, 0.000099f, 0.000099f, 0.000097f, 0.000096f, 0.000095f, 0.000091f, - 0.000086f, 0.000081f, 0.000077f, 0.000073f, 0.000085f, 0.000091f, 0.000070f, 0.000102f, 0.000117f, 0.000131f, 0.000145f, 0.000148f, - 0.000171f, 0.000178f, 0.000178f, 0.000207f, 0.000225f, 0.000209f, 0.000285f, 0.000238f, 0.000260f, 0.000298f, 0.000331f, 0.000360f, - 0.000371f, 0.000346f, 0.000407f, 0.000443f, 0.000494f, 0.000516f, 0.000578f, 0.000662f, 0.000767f, 0.000847f, 0.001004f, 0.001149f, - 0.001451f, 0.001783f, 0.002310f, 0.003262f, 0.004593f, 0.007309f, 0.012985f, 0.026703f, 0.064026f, 0.158813f, 0.712891f, 0.719238f, - 0.722168f, 0.721680f, 0.722168f, 0.722656f, 0.000000f, 0.000105f, 0.000102f, 0.000098f, 0.000094f, 0.000092f, 0.000091f, 0.000089f, - 0.000088f, 0.000086f, 0.000085f, 0.000084f, 0.000083f, 0.000080f, 0.000076f, 0.000073f, 0.000069f, 0.000065f, 0.000062f, 0.000059f, - 0.000068f, 0.000063f, 0.000069f, 0.000074f, 0.000087f, 0.000102f, 0.000112f, 0.000130f, 0.000137f, 0.000129f, 0.000143f, 0.000168f, - 0.000180f, 0.000178f, 0.000189f, 0.000198f, 0.000222f, 0.000240f, 0.000262f, 0.000285f, 0.000304f, 0.000317f, 0.000339f, 0.000399f, - 0.000439f, 0.000490f, 0.000570f, 0.000658f, 0.000781f, 0.000988f, 0.001235f, 0.001674f, 0.002407f, 0.003725f, 0.006485f, 0.013199f, - 0.034546f, 0.107605f, 0.682129f, 0.691406f, 0.692871f, 0.691406f, 0.692871f, 0.692871f, 0.000105f, 0.000089f, 0.000085f, 0.000080f, - 0.000078f, 0.000078f, 0.000075f, 0.000074f, 0.000072f, 0.000072f, 0.000070f, 0.000071f, 0.000069f, 0.000069f, 0.000069f, 0.000068f, - 0.000066f, 0.000063f, 0.000060f, 0.000057f, 0.000054f, 0.000052f, 0.000049f, 0.000047f, 0.000046f, 0.000045f, 0.000048f, 0.000055f, - 0.000060f, 0.000068f, 0.000083f, 0.000087f, 0.000092f, 0.000103f, 0.000109f, 0.000117f, 0.000130f, 0.000150f, 0.000148f, 0.000142f, - 0.000167f, 0.000186f, 0.000210f, 0.000213f, 0.000232f, 0.000280f, 0.000292f, 0.000329f, 0.000391f, 0.000456f, 0.000596f, 0.000764f, - 0.001065f, 0.001633f, 0.002806f, 0.005909f, 0.015488f, 0.062378f, 0.651367f, 0.659668f, 0.661133f, 0.661133f, 0.660645f, 0.661621f, - 0.000034f, 0.000037f, 0.000048f, 0.000051f, 0.000047f, 0.000049f, 0.000047f, 0.000051f, 0.000049f, 0.000051f, 0.000049f, 0.000050f, - 0.000051f, 0.000050f, 0.000050f, 0.000049f, 0.000051f, 0.000050f, 0.000051f, 0.000050f, 0.000049f, 0.000047f, 0.000045f, 0.000043f, - 0.000041f, 0.000039f, 0.000037f, 0.000035f, 0.000033f, 0.000032f, 0.000030f, 0.000029f, 0.000034f, 0.000041f, 0.000046f, 0.000057f, - 0.000063f, 0.000067f, 0.000065f, 0.000072f, 0.000083f, 0.000093f, 0.000096f, 0.000102f, 0.000102f, 0.000135f, 0.000134f, 0.000151f, - 0.000184f, 0.000198f, 0.000245f, 0.000306f, 0.000425f, 0.000607f, 0.001032f, 0.002081f, 0.005886f, 0.027924f, 0.617188f, 0.625977f, - 0.627441f, 0.627930f, 0.626953f, 0.628418f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, 0.000014f, - 0.000016f, 0.000014f, 0.000019f, 0.000022f, 0.000022f, 0.000022f, 0.000025f, 0.000026f, 0.000027f, 0.000028f, 0.000029f, 0.000029f, - 0.000029f, 0.000030f, 0.000030f, 0.000031f, 0.000032f, 0.000032f, 0.000031f, 0.000030f, 0.000028f, 0.000027f, 0.000026f, 0.000024f, - 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000022f, 0.000024f, 0.000027f, 0.000035f, 0.000041f, 0.000034f, - 0.000041f, 0.000052f, 0.000051f, 0.000051f, 0.000058f, 0.000070f, 0.000074f, 0.000103f, 0.000119f, 0.000169f, 0.000277f, 0.000510f, - 0.001495f, 0.008766f, 0.583008f, 0.590332f, 0.591797f, 0.591797f, 0.592285f, 0.592285f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000003f, 0.000005f, 0.000006f, 0.000008f, 0.000009f, 0.000010f, 0.000010f, - 0.000012f, 0.000012f, 0.000013f, 0.000014f, 0.000015f, 0.000015f, 0.000015f, 0.000015f, 0.000014f, 0.000013f, 0.000013f, 0.000012f, - 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000014f, 0.000011f, 0.000015f, 0.000017f, 0.000017f, 0.000021f, 0.000020f, - 0.000026f, 0.000026f, 0.000042f, 0.000069f, 0.000178f, 0.001302f, 0.544434f, 0.553711f, 0.554688f, 0.554688f, 0.556152f, 0.556641f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000003f, 0.000003f, - 0.000003f, 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000001f, 0.000003f, 0.000003f, 0.000004f, 0.000014f, 0.506836f, 0.515137f, - 0.516113f, 0.516602f, 0.517090f, 0.517578f, - }, - { - 0.089539f, 0.244873f, 0.368164f, 0.464355f, 0.539551f, 0.599121f, 0.648438f, 0.688477f, 0.721680f, 0.749512f, 0.772461f, 0.793945f, - 0.811523f, 0.826172f, 0.841309f, 0.854004f, 0.863770f, 0.874512f, 0.883301f, 0.891602f, 0.898438f, 0.906250f, 0.912109f, 0.917969f, - 0.922852f, 0.928223f, 0.932617f, 0.937012f, 0.940918f, 0.944336f, 0.948242f, 0.951660f, 0.954590f, 0.957520f, 0.960449f, 0.962891f, - 0.965820f, 0.967773f, 0.970215f, 0.972656f, 0.974609f, 0.976074f, 0.978516f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, - 0.987793f, 0.988770f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.996582f, 0.997559f, 0.998535f, 0.999023f, 0.998535f, - 0.997559f, 0.997070f, 0.996582f, 0.995605f, 0.045563f, 0.143921f, 0.242798f, 0.334717f, 0.417969f, 0.489258f, 0.550293f, 0.602051f, - 0.646484f, 0.683594f, 0.715820f, 0.743652f, 0.767090f, 0.788086f, 0.805664f, 0.822266f, 0.836426f, 0.849609f, 0.861328f, 0.870117f, - 0.879883f, 0.889160f, 0.896973f, 0.903320f, 0.909668f, 0.916016f, 0.921875f, 0.926758f, 0.931641f, 0.936523f, 0.940430f, 0.943848f, - 0.947266f, 0.951172f, 0.954102f, 0.957520f, 0.960449f, 0.962891f, 0.965820f, 0.968262f, 0.970215f, 0.973145f, 0.974121f, 0.976074f, - 0.979004f, 0.980469f, 0.982422f, 0.983887f, 0.985352f, 0.986816f, 0.988281f, 0.989746f, 0.991211f, 0.992188f, 0.994141f, 0.995117f, - 0.996094f, 0.997070f, 0.998535f, 0.997559f, 0.997070f, 0.996582f, 0.996094f, 0.995117f, 0.026855f, 0.089233f, 0.159790f, 0.234619f, - 0.308838f, 0.381348f, 0.447754f, 0.507812f, 0.561035f, 0.606934f, 0.646484f, 0.683105f, 0.712402f, 0.740234f, 0.763184f, 0.784668f, - 0.802246f, 0.819336f, 0.833984f, 0.846680f, 0.857910f, 0.868652f, 0.878418f, 0.886719f, 0.895508f, 0.903320f, 0.909668f, 0.915527f, - 0.920410f, 0.926270f, 0.931152f, 0.935547f, 0.940430f, 0.943848f, 0.947754f, 0.951172f, 0.954590f, 0.958008f, 0.960449f, 0.963379f, - 0.966309f, 0.968750f, 0.971191f, 0.973145f, 0.975586f, 0.977051f, 0.979004f, 0.981445f, 0.982910f, 0.983887f, 0.985840f, 0.987305f, - 0.988770f, 0.990723f, 0.992188f, 0.993164f, 0.994629f, 0.996094f, 0.998047f, 0.997070f, 0.996582f, 0.996094f, 0.995605f, 0.995117f, - 0.017746f, 0.058746f, 0.108276f, 0.163818f, 0.224365f, 0.288086f, 0.351562f, 0.413086f, 0.470947f, 0.522949f, 0.569824f, 0.612793f, - 0.650879f, 0.684570f, 0.713867f, 0.739258f, 0.762695f, 0.783203f, 0.800781f, 0.817871f, 0.833008f, 0.845215f, 0.857422f, 0.868164f, - 0.877441f, 0.886230f, 0.894043f, 0.902832f, 0.908691f, 0.915039f, 0.921387f, 0.925781f, 0.930664f, 0.936035f, 0.939941f, 0.944336f, - 0.948242f, 0.951660f, 0.955078f, 0.957520f, 0.961426f, 0.964355f, 0.967285f, 0.968750f, 0.971680f, 0.974121f, 0.975586f, 0.978027f, - 0.979980f, 0.981934f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992676f, 0.993652f, 0.997070f, 0.996582f, - 0.996582f, 0.996094f, 0.995117f, 0.994629f, 0.012337f, 0.041229f, 0.075928f, 0.117065f, 0.163208f, 0.214478f, 0.270020f, 0.327148f, - 0.383301f, 0.437500f, 0.490234f, 0.536621f, 0.581543f, 0.621094f, 0.656250f, 0.688477f, 0.716797f, 0.741699f, 0.763672f, 0.784668f, - 0.802246f, 0.818359f, 0.832520f, 0.845703f, 0.857422f, 0.868164f, 0.877930f, 0.886230f, 0.895020f, 0.902344f, 0.909668f, 0.915039f, - 0.921875f, 0.926758f, 0.931641f, 0.937012f, 0.940430f, 0.946289f, 0.949219f, 0.952637f, 0.956055f, 0.958984f, 0.961914f, 0.964844f, - 0.967773f, 0.970215f, 0.972656f, 0.974609f, 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.986816f, 0.987793f, 0.989746f, - 0.990723f, 0.992676f, 0.996582f, 0.996094f, 0.995605f, 0.995117f, 0.994629f, 0.994141f, 0.009315f, 0.030411f, 0.055756f, 0.085632f, - 0.121094f, 0.160889f, 0.206055f, 0.254150f, 0.305664f, 0.357422f, 0.408447f, 0.459717f, 0.506836f, 0.551270f, 0.592773f, 0.629395f, - 0.662598f, 0.692871f, 0.719727f, 0.745117f, 0.767090f, 0.786133f, 0.804688f, 0.819336f, 0.834473f, 0.847168f, 0.858398f, 0.869629f, - 0.879395f, 0.888672f, 0.895020f, 0.903320f, 0.910156f, 0.916016f, 0.922363f, 0.928223f, 0.933105f, 0.937012f, 0.941406f, 0.946289f, - 0.950195f, 0.954102f, 0.957031f, 0.960449f, 0.963379f, 0.965820f, 0.969238f, 0.971191f, 0.974121f, 0.976074f, 0.978027f, 0.979980f, - 0.982422f, 0.984375f, 0.985840f, 0.987793f, 0.989258f, 0.990723f, 0.995605f, 0.995605f, 0.995117f, 0.994629f, 0.994629f, 0.993652f, - 0.006634f, 0.022736f, 0.041962f, 0.064026f, 0.090759f, 0.122192f, 0.157593f, 0.197510f, 0.240356f, 0.287354f, 0.335693f, 0.384766f, - 0.432373f, 0.479736f, 0.523438f, 0.565430f, 0.604004f, 0.639160f, 0.670898f, 0.699219f, 0.726562f, 0.749023f, 0.770508f, 0.790527f, - 0.806641f, 0.822754f, 0.836426f, 0.848633f, 0.859863f, 0.871582f, 0.881348f, 0.889160f, 0.897949f, 0.905273f, 0.912598f, 0.918945f, - 0.924316f, 0.929199f, 0.935059f, 0.938965f, 0.943848f, 0.947266f, 0.951660f, 0.955078f, 0.958496f, 0.961914f, 0.964844f, 0.967773f, - 0.970703f, 0.973145f, 0.975098f, 0.977539f, 0.979492f, 0.981445f, 0.983887f, 0.985352f, 0.987305f, 0.989258f, 0.995117f, 0.994629f, - 0.994141f, 0.994141f, 0.993652f, 0.993164f, 0.005428f, 0.017807f, 0.032166f, 0.049652f, 0.070007f, 0.093811f, 0.121765f, 0.153564f, - 0.189087f, 0.228516f, 0.270752f, 0.316162f, 0.362061f, 0.408936f, 0.453857f, 0.498779f, 0.540527f, 0.579590f, 0.615723f, 0.649902f, - 0.679688f, 0.707520f, 0.732422f, 0.755371f, 0.775391f, 0.794922f, 0.811035f, 0.826172f, 0.839844f, 0.852051f, 0.864258f, 0.875000f, - 0.883301f, 0.892578f, 0.899902f, 0.907715f, 0.914062f, 0.920410f, 0.926270f, 0.931641f, 0.936035f, 0.940918f, 0.945312f, 0.949219f, - 0.954102f, 0.957031f, 0.960938f, 0.963379f, 0.966797f, 0.969238f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.980957f, 0.983398f, - 0.985352f, 0.987305f, 0.994141f, 0.994141f, 0.994141f, 0.993652f, 0.993164f, 0.992676f, 0.004223f, 0.014046f, 0.025452f, 0.039062f, - 0.055115f, 0.073608f, 0.095642f, 0.120239f, 0.149292f, 0.182251f, 0.217529f, 0.257080f, 0.298828f, 0.342773f, 0.387207f, 0.431152f, - 0.474609f, 0.516602f, 0.556641f, 0.593750f, 0.628418f, 0.660156f, 0.689453f, 0.715820f, 0.740723f, 0.762207f, 0.782227f, 0.799805f, - 0.816406f, 0.830566f, 0.844727f, 0.855469f, 0.867188f, 0.877441f, 0.886230f, 0.895020f, 0.903809f, 0.910645f, 0.917480f, 0.923340f, - 0.928711f, 0.934570f, 0.939453f, 0.943848f, 0.948242f, 0.952148f, 0.956055f, 0.959473f, 0.961914f, 0.965820f, 0.968750f, 0.971680f, - 0.974121f, 0.975586f, 0.979004f, 0.980957f, 0.983398f, 0.985352f, 0.993652f, 0.993652f, 0.993164f, 0.993164f, 0.992676f, 0.991699f, - 0.003532f, 0.011536f, 0.020645f, 0.031342f, 0.044098f, 0.058624f, 0.075989f, 0.096252f, 0.119141f, 0.145386f, 0.175049f, 0.208130f, - 0.244385f, 0.283203f, 0.324463f, 0.367432f, 0.410400f, 0.453369f, 0.495361f, 0.534668f, 0.572266f, 0.607910f, 0.641602f, 0.672852f, - 0.700195f, 0.725098f, 0.748047f, 0.769531f, 0.789062f, 0.806152f, 0.821777f, 0.835938f, 0.848633f, 0.860352f, 0.872070f, 0.881836f, - 0.890625f, 0.898926f, 0.906738f, 0.913086f, 0.919922f, 0.925781f, 0.931641f, 0.936523f, 0.941406f, 0.946289f, 0.950684f, 0.954590f, - 0.958008f, 0.961426f, 0.964844f, 0.968262f, 0.970703f, 0.973633f, 0.976074f, 0.978516f, 0.980469f, 0.982910f, 0.992676f, 0.992676f, - 0.992188f, 0.992188f, 0.991699f, 0.990723f, 0.002850f, 0.009483f, 0.016647f, 0.025833f, 0.035889f, 0.047424f, 0.061646f, 0.076660f, - 0.095642f, 0.117065f, 0.141113f, 0.168457f, 0.198975f, 0.233032f, 0.269775f, 0.308838f, 0.349854f, 0.391357f, 0.432861f, 0.474121f, - 0.515625f, 0.552734f, 0.589355f, 0.622559f, 0.654785f, 0.683594f, 0.710938f, 0.735352f, 0.757812f, 0.777344f, 0.795898f, 0.812988f, - 0.827637f, 0.842285f, 0.854492f, 0.866211f, 0.876953f, 0.886719f, 0.895508f, 0.902832f, 0.911133f, 0.917969f, 0.924316f, 0.929688f, - 0.935059f, 0.940430f, 0.945312f, 0.949219f, 0.953125f, 0.958008f, 0.961426f, 0.964844f, 0.967285f, 0.970703f, 0.973633f, 0.975586f, - 0.978516f, 0.981445f, 0.991699f, 0.992188f, 0.991699f, 0.991211f, 0.991211f, 0.990723f, 0.002628f, 0.007713f, 0.014069f, 0.021484f, - 0.029709f, 0.038910f, 0.050201f, 0.063171f, 0.078186f, 0.094849f, 0.114563f, 0.137329f, 0.162720f, 0.190918f, 0.222656f, 0.257568f, - 0.293945f, 0.332764f, 0.372803f, 0.414551f, 0.455078f, 0.495361f, 0.533691f, 0.571289f, 0.606445f, 0.639160f, 0.668457f, 0.697754f, - 0.723633f, 0.746094f, 0.767090f, 0.787598f, 0.804199f, 0.820801f, 0.834473f, 0.848633f, 0.860352f, 0.872559f, 0.882324f, 0.891602f, - 0.899902f, 0.907715f, 0.915039f, 0.921387f, 0.927734f, 0.934082f, 0.938965f, 0.944824f, 0.948730f, 0.953125f, 0.956543f, 0.960938f, - 0.963867f, 0.967285f, 0.970215f, 0.973145f, 0.976074f, 0.978516f, 0.990234f, 0.990723f, 0.990723f, 0.991211f, 0.990234f, 0.990234f, - 0.002131f, 0.006535f, 0.012016f, 0.017670f, 0.024780f, 0.032837f, 0.041199f, 0.051819f, 0.063904f, 0.077759f, 0.093689f, 0.112610f, - 0.133057f, 0.156860f, 0.183472f, 0.213257f, 0.245605f, 0.281006f, 0.318115f, 0.357422f, 0.397217f, 0.437500f, 0.478271f, 0.516602f, - 0.554688f, 0.589844f, 0.623535f, 0.654785f, 0.684082f, 0.710938f, 0.734375f, 0.757812f, 0.777832f, 0.795898f, 0.813477f, 0.828613f, - 0.843262f, 0.855957f, 0.867676f, 0.878906f, 0.888184f, 0.897461f, 0.905273f, 0.912598f, 0.919922f, 0.926758f, 0.932129f, 0.937988f, - 0.942871f, 0.947754f, 0.951660f, 0.955566f, 0.960449f, 0.964355f, 0.967285f, 0.970215f, 0.973145f, 0.976074f, 0.989746f, 0.990234f, - 0.990234f, 0.990234f, 0.989746f, 0.988770f, 0.001566f, 0.005798f, 0.010231f, 0.015259f, 0.020920f, 0.027176f, 0.034607f, 0.043335f, - 0.052887f, 0.064392f, 0.077576f, 0.092712f, 0.109802f, 0.129639f, 0.151611f, 0.176758f, 0.204346f, 0.235474f, 0.269043f, 0.304688f, - 0.342529f, 0.381836f, 0.421143f, 0.460449f, 0.500488f, 0.538086f, 0.574219f, 0.608887f, 0.640625f, 0.670898f, 0.699219f, 0.725098f, - 0.748535f, 0.769043f, 0.788574f, 0.807129f, 0.823242f, 0.837402f, 0.850586f, 0.863281f, 0.874512f, 0.885254f, 0.894043f, 0.902832f, - 0.910645f, 0.917969f, 0.924805f, 0.931152f, 0.936523f, 0.941895f, 0.947266f, 0.951172f, 0.955566f, 0.960449f, 0.963867f, 0.966797f, - 0.970703f, 0.973145f, 0.988281f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, 0.988281f, 0.001427f, 0.004749f, 0.008934f, 0.012833f, - 0.017670f, 0.023483f, 0.029114f, 0.036438f, 0.044556f, 0.054047f, 0.064453f, 0.077148f, 0.091309f, 0.107544f, 0.125854f, 0.146729f, - 0.170776f, 0.197266f, 0.226440f, 0.257568f, 0.292236f, 0.329346f, 0.367188f, 0.405762f, 0.445557f, 0.484619f, 0.522949f, 0.559570f, - 0.595215f, 0.627441f, 0.659180f, 0.687012f, 0.714355f, 0.739258f, 0.761719f, 0.781738f, 0.800781f, 0.817383f, 0.833984f, 0.847168f, - 0.859375f, 0.872070f, 0.882324f, 0.891602f, 0.900879f, 0.909668f, 0.916504f, 0.923828f, 0.930176f, 0.936523f, 0.941895f, 0.946777f, - 0.951172f, 0.956055f, 0.960449f, 0.963867f, 0.967285f, 0.970703f, 0.987305f, 0.988770f, 0.988281f, 0.987793f, 0.987793f, 0.987793f, - 0.001357f, 0.004501f, 0.007557f, 0.011284f, 0.015236f, 0.019791f, 0.025101f, 0.030838f, 0.037628f, 0.045532f, 0.054596f, 0.064636f, - 0.076355f, 0.089905f, 0.105042f, 0.122498f, 0.142334f, 0.164307f, 0.189697f, 0.217896f, 0.248413f, 0.281494f, 0.316406f, 0.354004f, - 0.391846f, 0.430664f, 0.469971f, 0.508301f, 0.545898f, 0.582031f, 0.615723f, 0.647461f, 0.677734f, 0.704590f, 0.731445f, 0.754395f, - 0.775391f, 0.794922f, 0.811523f, 0.829102f, 0.842773f, 0.856934f, 0.868652f, 0.880371f, 0.891113f, 0.899414f, 0.908203f, 0.915527f, - 0.922852f, 0.930176f, 0.936035f, 0.941406f, 0.947266f, 0.951660f, 0.957031f, 0.960449f, 0.963867f, 0.968262f, 0.986328f, 0.987305f, - 0.987793f, 0.987305f, 0.987305f, 0.986816f, 0.001239f, 0.003864f, 0.006699f, 0.009621f, 0.013008f, 0.017059f, 0.021805f, 0.026703f, - 0.032562f, 0.039185f, 0.045807f, 0.054352f, 0.064514f, 0.075439f, 0.088257f, 0.102478f, 0.119263f, 0.138306f, 0.159546f, 0.183228f, - 0.209961f, 0.239258f, 0.271484f, 0.305176f, 0.341797f, 0.379639f, 0.417480f, 0.456787f, 0.495605f, 0.532227f, 0.570801f, 0.604980f, - 0.637207f, 0.666992f, 0.696289f, 0.722656f, 0.746582f, 0.768555f, 0.789062f, 0.808105f, 0.824219f, 0.839844f, 0.854492f, 0.865723f, - 0.878418f, 0.888672f, 0.897461f, 0.906738f, 0.915039f, 0.922363f, 0.929199f, 0.935547f, 0.941895f, 0.946289f, 0.952148f, 0.956543f, - 0.960449f, 0.964844f, 0.985352f, 0.986816f, 0.986816f, 0.986328f, 0.986328f, 0.985840f, 0.001151f, 0.003429f, 0.005753f, 0.008400f, - 0.011391f, 0.014877f, 0.018494f, 0.022858f, 0.028046f, 0.033112f, 0.039642f, 0.046661f, 0.054565f, 0.064026f, 0.074280f, 0.086243f, - 0.100403f, 0.116150f, 0.133789f, 0.154053f, 0.176636f, 0.202393f, 0.230957f, 0.261719f, 0.295166f, 0.330322f, 0.367432f, 0.405518f, - 0.445312f, 0.483398f, 0.520996f, 0.558105f, 0.594238f, 0.626465f, 0.659668f, 0.688477f, 0.714844f, 0.740723f, 0.763672f, 0.784180f, - 0.804199f, 0.821289f, 0.837402f, 0.852051f, 0.864258f, 0.876465f, 0.886719f, 0.897949f, 0.906250f, 0.915039f, 0.922363f, 0.929199f, - 0.935547f, 0.941406f, 0.946777f, 0.952637f, 0.958008f, 0.961914f, 0.983887f, 0.985840f, 0.985352f, 0.985352f, 0.984863f, 0.984863f, - 0.001000f, 0.002768f, 0.005127f, 0.007515f, 0.010155f, 0.013283f, 0.016205f, 0.019714f, 0.023987f, 0.028854f, 0.033905f, 0.040161f, - 0.046814f, 0.054199f, 0.063110f, 0.073303f, 0.084839f, 0.098145f, 0.112854f, 0.129883f, 0.149292f, 0.171387f, 0.195435f, 0.222778f, - 0.252686f, 0.285400f, 0.320312f, 0.356689f, 0.394531f, 0.433105f, 0.471924f, 0.510742f, 0.547852f, 0.584473f, 0.617676f, 0.650879f, - 0.680664f, 0.708984f, 0.734375f, 0.759277f, 0.780762f, 0.799805f, 0.817383f, 0.834473f, 0.849121f, 0.862793f, 0.875488f, 0.886719f, - 0.896484f, 0.906250f, 0.915039f, 0.923828f, 0.930176f, 0.936035f, 0.942871f, 0.948242f, 0.953613f, 0.958008f, 0.982910f, 0.983887f, - 0.984375f, 0.983887f, 0.984375f, 0.983398f, 0.000799f, 0.002705f, 0.004459f, 0.006573f, 0.008842f, 0.011375f, 0.014099f, 0.017487f, - 0.020798f, 0.024963f, 0.029465f, 0.034637f, 0.039703f, 0.046478f, 0.054047f, 0.062256f, 0.072388f, 0.082947f, 0.095764f, 0.110229f, - 0.126099f, 0.144775f, 0.165771f, 0.189697f, 0.216187f, 0.244995f, 0.276123f, 0.310303f, 0.346191f, 0.384521f, 0.422607f, 0.461670f, - 0.500000f, 0.538574f, 0.575195f, 0.609863f, 0.643555f, 0.673828f, 0.702637f, 0.730469f, 0.754395f, 0.777344f, 0.797363f, 0.815430f, - 0.833008f, 0.848633f, 0.861328f, 0.875000f, 0.886719f, 0.896973f, 0.906738f, 0.915039f, 0.923340f, 0.930176f, 0.936523f, 0.943848f, - 0.948730f, 0.954102f, 0.981445f, 0.983398f, 0.982910f, 0.983398f, 0.982910f, 0.982910f, 0.000774f, 0.002554f, 0.003899f, 0.005875f, - 0.007759f, 0.009949f, 0.012733f, 0.015060f, 0.018280f, 0.021667f, 0.025574f, 0.029678f, 0.034698f, 0.040405f, 0.046570f, 0.053650f, - 0.061462f, 0.071106f, 0.081360f, 0.093323f, 0.107300f, 0.122864f, 0.140747f, 0.160522f, 0.183960f, 0.209229f, 0.237305f, 0.268799f, - 0.302002f, 0.337402f, 0.374023f, 0.413330f, 0.451904f, 0.490967f, 0.529785f, 0.567383f, 0.603027f, 0.636719f, 0.668457f, 0.698242f, - 0.725586f, 0.750977f, 0.773926f, 0.793945f, 0.813965f, 0.831543f, 0.847656f, 0.861816f, 0.874512f, 0.886719f, 0.897461f, 0.906738f, - 0.915527f, 0.923828f, 0.931641f, 0.937988f, 0.944824f, 0.949707f, 0.979980f, 0.981934f, 0.981934f, 0.981934f, 0.981934f, 0.981445f, - 0.000657f, 0.001934f, 0.003330f, 0.005280f, 0.006748f, 0.009079f, 0.010994f, 0.013763f, 0.015945f, 0.019150f, 0.022003f, 0.026001f, - 0.030350f, 0.034790f, 0.040253f, 0.045898f, 0.052795f, 0.060852f, 0.069641f, 0.079346f, 0.091187f, 0.104492f, 0.119751f, 0.136963f, - 0.156372f, 0.178345f, 0.203247f, 0.230957f, 0.260742f, 0.294189f, 0.328613f, 0.365723f, 0.403564f, 0.443115f, 0.482910f, 0.521484f, - 0.559570f, 0.596680f, 0.630859f, 0.664062f, 0.694336f, 0.722168f, 0.747559f, 0.771484f, 0.793457f, 0.813477f, 0.830078f, 0.846191f, - 0.861816f, 0.874023f, 0.887207f, 0.898438f, 0.908691f, 0.916992f, 0.925293f, 0.933594f, 0.939941f, 0.946777f, 0.978516f, 0.980469f, - 0.980469f, 0.980469f, 0.980469f, 0.980469f, 0.000818f, 0.001935f, 0.003246f, 0.004658f, 0.006229f, 0.007912f, 0.010017f, 0.012093f, - 0.014259f, 0.016586f, 0.019653f, 0.022659f, 0.026413f, 0.030289f, 0.034790f, 0.039917f, 0.045441f, 0.052338f, 0.059479f, 0.068115f, - 0.077759f, 0.089050f, 0.102051f, 0.116272f, 0.133179f, 0.152344f, 0.173340f, 0.197876f, 0.224243f, 0.254150f, 0.286621f, 0.321533f, - 0.357666f, 0.396729f, 0.436279f, 0.475830f, 0.514648f, 0.553711f, 0.590332f, 0.626465f, 0.659180f, 0.689941f, 0.719238f, 0.746094f, - 0.770020f, 0.792480f, 0.812500f, 0.830566f, 0.846680f, 0.862305f, 0.875977f, 0.888184f, 0.899414f, 0.910156f, 0.918945f, 0.927246f, - 0.935059f, 0.941895f, 0.977051f, 0.979004f, 0.979492f, 0.979004f, 0.979492f, 0.979004f, 0.000583f, 0.001696f, 0.003044f, 0.004276f, - 0.005394f, 0.007111f, 0.009048f, 0.010727f, 0.012802f, 0.014549f, 0.017319f, 0.019943f, 0.023132f, 0.026459f, 0.030212f, 0.034576f, - 0.039612f, 0.045105f, 0.051422f, 0.058594f, 0.066833f, 0.076416f, 0.087341f, 0.099792f, 0.113647f, 0.130005f, 0.147827f, 0.168945f, - 0.192261f, 0.218750f, 0.247803f, 0.280029f, 0.314209f, 0.351074f, 0.389404f, 0.429199f, 0.468750f, 0.508301f, 0.547852f, 0.585938f, - 0.622070f, 0.655762f, 0.687988f, 0.718262f, 0.744629f, 0.769531f, 0.792480f, 0.812500f, 0.832520f, 0.848633f, 0.863770f, 0.877441f, - 0.890137f, 0.901367f, 0.912109f, 0.921387f, 0.929199f, 0.937500f, 0.975586f, 0.978027f, 0.978027f, 0.977539f, 0.977539f, 0.977051f, - 0.000463f, 0.001634f, 0.002899f, 0.003574f, 0.004932f, 0.006233f, 0.007866f, 0.009644f, 0.011055f, 0.012894f, 0.015518f, 0.017792f, - 0.020279f, 0.023178f, 0.026657f, 0.030136f, 0.034271f, 0.039062f, 0.044586f, 0.050446f, 0.057739f, 0.065613f, 0.074646f, 0.084900f, - 0.097107f, 0.111023f, 0.126099f, 0.143921f, 0.164673f, 0.187500f, 0.213257f, 0.242065f, 0.273926f, 0.308594f, 0.344971f, 0.383301f, - 0.423340f, 0.463623f, 0.503906f, 0.543945f, 0.582520f, 0.619629f, 0.653809f, 0.686523f, 0.717285f, 0.744629f, 0.770020f, 0.792969f, - 0.814453f, 0.833496f, 0.850098f, 0.866211f, 0.879395f, 0.893066f, 0.904297f, 0.914551f, 0.923828f, 0.932129f, 0.973145f, 0.976074f, - 0.976562f, 0.976074f, 0.976074f, 0.976074f, 0.000472f, 0.001289f, 0.002508f, 0.003481f, 0.004459f, 0.005894f, 0.007042f, 0.008232f, - 0.009972f, 0.011719f, 0.013435f, 0.015884f, 0.017899f, 0.020386f, 0.023422f, 0.026428f, 0.030411f, 0.034180f, 0.038757f, 0.043854f, - 0.049652f, 0.056549f, 0.064270f, 0.073303f, 0.083252f, 0.095093f, 0.107910f, 0.123169f, 0.141113f, 0.160645f, 0.183472f, 0.208618f, - 0.237305f, 0.268799f, 0.302734f, 0.339600f, 0.377930f, 0.418457f, 0.459473f, 0.500000f, 0.540527f, 0.579102f, 0.617188f, 0.652832f, - 0.685547f, 0.716309f, 0.745117f, 0.771484f, 0.794922f, 0.815918f, 0.834961f, 0.853027f, 0.868652f, 0.882324f, 0.895996f, 0.907227f, - 0.916992f, 0.927246f, 0.972168f, 0.974121f, 0.975098f, 0.973633f, 0.974609f, 0.973633f, 0.000238f, 0.001453f, 0.002047f, 0.002985f, - 0.004227f, 0.005272f, 0.006096f, 0.007309f, 0.008957f, 0.010437f, 0.012184f, 0.014214f, 0.015793f, 0.018082f, 0.020538f, 0.023270f, - 0.026505f, 0.029648f, 0.033813f, 0.038300f, 0.043457f, 0.049042f, 0.055298f, 0.062744f, 0.070984f, 0.081299f, 0.092590f, 0.105591f, - 0.120361f, 0.137695f, 0.156982f, 0.179443f, 0.204346f, 0.232788f, 0.263672f, 0.297363f, 0.334229f, 0.373047f, 0.414307f, 0.455322f, - 0.497314f, 0.538086f, 0.578613f, 0.616211f, 0.653320f, 0.686523f, 0.718262f, 0.747559f, 0.773438f, 0.797363f, 0.818848f, 0.838867f, - 0.856934f, 0.871582f, 0.885742f, 0.898926f, 0.910645f, 0.920410f, 0.970215f, 0.971680f, 0.972656f, 0.972656f, 0.972168f, 0.972168f, - 0.000376f, 0.001075f, 0.002052f, 0.002823f, 0.003603f, 0.004509f, 0.005619f, 0.007008f, 0.008064f, 0.009132f, 0.010849f, 0.012314f, - 0.013817f, 0.015945f, 0.018188f, 0.020676f, 0.022995f, 0.026230f, 0.029587f, 0.033234f, 0.037598f, 0.042328f, 0.048004f, 0.054230f, - 0.061188f, 0.069824f, 0.079468f, 0.090454f, 0.103271f, 0.117493f, 0.134644f, 0.153931f, 0.175293f, 0.200806f, 0.228149f, 0.259277f, - 0.293945f, 0.330566f, 0.370117f, 0.410889f, 0.453369f, 0.495605f, 0.537109f, 0.578125f, 0.616699f, 0.653809f, 0.689453f, 0.721191f, - 0.750000f, 0.776855f, 0.800293f, 0.822754f, 0.841309f, 0.859863f, 0.876465f, 0.890137f, 0.902832f, 0.914062f, 0.967773f, 0.970703f, - 0.970703f, 0.970703f, 0.970703f, 0.970703f, 0.000237f, 0.000972f, 0.001674f, 0.002413f, 0.003336f, 0.003956f, 0.005093f, 0.006039f, - 0.007069f, 0.008202f, 0.009613f, 0.011017f, 0.012520f, 0.014282f, 0.016068f, 0.017853f, 0.020508f, 0.023117f, 0.025986f, 0.029160f, - 0.032898f, 0.036865f, 0.041565f, 0.046997f, 0.052887f, 0.060089f, 0.068176f, 0.077515f, 0.088257f, 0.100586f, 0.114929f, 0.131592f, - 0.150635f, 0.172241f, 0.196411f, 0.224731f, 0.255859f, 0.290039f, 0.327393f, 0.367188f, 0.409180f, 0.451172f, 0.493896f, 0.536621f, - 0.578613f, 0.618164f, 0.655762f, 0.691406f, 0.724121f, 0.753906f, 0.781738f, 0.805176f, 0.827637f, 0.847656f, 0.864746f, 0.880859f, - 0.895508f, 0.907715f, 0.965332f, 0.968262f, 0.968750f, 0.969238f, 0.967773f, 0.967773f, 0.000450f, 0.001033f, 0.001554f, 0.002131f, - 0.002939f, 0.003662f, 0.004551f, 0.005722f, 0.006405f, 0.007542f, 0.008484f, 0.009750f, 0.011017f, 0.012596f, 0.014046f, 0.015854f, - 0.017975f, 0.020264f, 0.022736f, 0.025497f, 0.028671f, 0.031952f, 0.036011f, 0.040741f, 0.045746f, 0.051910f, 0.058868f, 0.066772f, - 0.075867f, 0.086304f, 0.098328f, 0.112244f, 0.128784f, 0.147217f, 0.168945f, 0.193848f, 0.221558f, 0.252441f, 0.287109f, 0.324951f, - 0.365234f, 0.407715f, 0.450684f, 0.494629f, 0.539062f, 0.580566f, 0.621094f, 0.659668f, 0.695801f, 0.729004f, 0.758789f, 0.786133f, - 0.810547f, 0.833008f, 0.852539f, 0.870117f, 0.886719f, 0.900879f, 0.962891f, 0.966309f, 0.966309f, 0.966797f, 0.966797f, 0.966309f, - 0.000304f, 0.001050f, 0.001257f, 0.002295f, 0.002689f, 0.003885f, 0.004284f, 0.004726f, 0.005547f, 0.006721f, 0.007595f, 0.008667f, - 0.009811f, 0.011330f, 0.012642f, 0.014130f, 0.016098f, 0.017975f, 0.019867f, 0.022247f, 0.024811f, 0.028030f, 0.031403f, 0.035461f, - 0.039642f, 0.044800f, 0.050720f, 0.057495f, 0.065002f, 0.073914f, 0.084290f, 0.095947f, 0.109985f, 0.126343f, 0.144409f, 0.166138f, - 0.190918f, 0.218750f, 0.250244f, 0.285400f, 0.323730f, 0.364258f, 0.407471f, 0.452148f, 0.496338f, 0.540527f, 0.584473f, 0.625977f, - 0.665039f, 0.701172f, 0.735352f, 0.765137f, 0.792480f, 0.817383f, 0.840332f, 0.859863f, 0.876953f, 0.893066f, 0.959961f, 0.963379f, - 0.963867f, 0.964355f, 0.963867f, 0.963867f, 0.000228f, 0.000682f, 0.001293f, 0.001717f, 0.002352f, 0.003160f, 0.003626f, 0.004360f, - 0.005348f, 0.005871f, 0.006870f, 0.007660f, 0.008957f, 0.010002f, 0.011299f, 0.012375f, 0.014099f, 0.015900f, 0.017670f, 0.019363f, - 0.022034f, 0.024216f, 0.027420f, 0.030930f, 0.034454f, 0.038910f, 0.044006f, 0.049530f, 0.055878f, 0.063477f, 0.072083f, 0.082275f, - 0.094177f, 0.107666f, 0.123840f, 0.142090f, 0.163452f, 0.188477f, 0.216919f, 0.248047f, 0.283447f, 0.322754f, 0.364990f, 0.408447f, - 0.453613f, 0.500000f, 0.544922f, 0.589355f, 0.631348f, 0.671387f, 0.708008f, 0.742188f, 0.773438f, 0.800781f, 0.824219f, 0.846680f, - 0.866699f, 0.884277f, 0.958008f, 0.960938f, 0.961426f, 0.962402f, 0.961914f, 0.960938f, 0.000239f, 0.000731f, 0.001204f, 0.001637f, - 0.002144f, 0.002913f, 0.003521f, 0.003828f, 0.004517f, 0.005291f, 0.006203f, 0.006954f, 0.007740f, 0.008911f, 0.010239f, 0.011017f, - 0.012413f, 0.013863f, 0.015396f, 0.017181f, 0.019196f, 0.021439f, 0.024078f, 0.026993f, 0.030182f, 0.033752f, 0.038055f, 0.042664f, - 0.048004f, 0.054657f, 0.061920f, 0.070312f, 0.080688f, 0.092041f, 0.105774f, 0.121094f, 0.140015f, 0.161255f, 0.186523f, 0.214966f, - 0.246948f, 0.283203f, 0.322998f, 0.365967f, 0.410400f, 0.457275f, 0.503906f, 0.550781f, 0.596191f, 0.638672f, 0.678711f, 0.716797f, - 0.750488f, 0.781738f, 0.809082f, 0.833496f, 0.855469f, 0.874512f, 0.954590f, 0.958008f, 0.958984f, 0.958984f, 0.958984f, 0.958984f, - 0.000226f, 0.000663f, 0.001073f, 0.001420f, 0.002163f, 0.002567f, 0.003052f, 0.003433f, 0.004181f, 0.004734f, 0.005516f, 0.006424f, - 0.007050f, 0.008003f, 0.008659f, 0.009827f, 0.011086f, 0.012398f, 0.013649f, 0.015266f, 0.016891f, 0.018921f, 0.021118f, 0.023560f, - 0.026505f, 0.029556f, 0.032715f, 0.036865f, 0.041077f, 0.046570f, 0.053314f, 0.060150f, 0.068787f, 0.078552f, 0.090027f, 0.103638f, - 0.119690f, 0.138184f, 0.159546f, 0.184692f, 0.213745f, 0.245972f, 0.283203f, 0.324219f, 0.367920f, 0.414062f, 0.461914f, 0.509766f, - 0.557129f, 0.604492f, 0.647461f, 0.688965f, 0.727051f, 0.761230f, 0.791504f, 0.819824f, 0.844238f, 0.865234f, 0.951660f, 0.955566f, - 0.955566f, 0.956055f, 0.955078f, 0.956543f, 0.000156f, 0.000587f, 0.001056f, 0.001499f, 0.001647f, 0.002380f, 0.002594f, 0.003469f, - 0.003777f, 0.004112f, 0.004925f, 0.005699f, 0.006180f, 0.007019f, 0.007957f, 0.008942f, 0.009560f, 0.010727f, 0.011963f, 0.013123f, - 0.014885f, 0.016556f, 0.018494f, 0.020355f, 0.022766f, 0.025330f, 0.028320f, 0.031830f, 0.035736f, 0.040161f, 0.045532f, 0.052032f, - 0.059113f, 0.066833f, 0.076782f, 0.088501f, 0.101868f, 0.117310f, 0.136108f, 0.157959f, 0.183105f, 0.212769f, 0.247070f, 0.284424f, - 0.326660f, 0.371338f, 0.419189f, 0.468994f, 0.518066f, 0.567383f, 0.613770f, 0.658691f, 0.700684f, 0.738770f, 0.771973f, 0.803223f, - 0.829590f, 0.854492f, 0.947266f, 0.952637f, 0.952637f, 0.952637f, 0.953125f, 0.952637f, 0.000155f, 0.000358f, 0.000859f, 0.001402f, - 0.001830f, 0.002092f, 0.002499f, 0.002672f, 0.003410f, 0.003763f, 0.004375f, 0.005077f, 0.005535f, 0.006554f, 0.007004f, 0.007874f, - 0.008537f, 0.009529f, 0.010742f, 0.011749f, 0.013016f, 0.014427f, 0.015945f, 0.017929f, 0.019775f, 0.022018f, 0.024460f, 0.027618f, - 0.030640f, 0.034668f, 0.039154f, 0.044250f, 0.050293f, 0.057068f, 0.065491f, 0.074951f, 0.086487f, 0.099670f, 0.115906f, 0.134277f, - 0.156860f, 0.182495f, 0.213135f, 0.248047f, 0.286621f, 0.329834f, 0.376709f, 0.426025f, 0.476562f, 0.527832f, 0.577637f, 0.626465f, - 0.671387f, 0.713379f, 0.752441f, 0.784668f, 0.815430f, 0.841797f, 0.944336f, 0.948242f, 0.949219f, 0.949219f, 0.949219f, 0.949707f, - 0.000233f, 0.000639f, 0.000930f, 0.001277f, 0.001579f, 0.001916f, 0.002041f, 0.002625f, 0.003035f, 0.003571f, 0.004124f, 0.004375f, - 0.004978f, 0.005379f, 0.006348f, 0.006886f, 0.007526f, 0.008430f, 0.009216f, 0.010262f, 0.011436f, 0.012779f, 0.014160f, 0.015549f, - 0.017120f, 0.019089f, 0.021164f, 0.023621f, 0.026352f, 0.029724f, 0.033447f, 0.037842f, 0.042603f, 0.048737f, 0.055573f, 0.063721f, - 0.073364f, 0.084778f, 0.098206f, 0.114197f, 0.133423f, 0.155762f, 0.182739f, 0.213623f, 0.249512f, 0.289795f, 0.335205f, 0.383789f, - 0.434814f, 0.487305f, 0.540039f, 0.591797f, 0.640137f, 0.686035f, 0.727539f, 0.765137f, 0.800293f, 0.830078f, 0.940430f, 0.944336f, - 0.945312f, 0.946289f, 0.945801f, 0.945312f, 0.000217f, 0.000519f, 0.000848f, 0.001180f, 0.001366f, 0.001589f, 0.001986f, 0.002354f, - 0.002987f, 0.003170f, 0.003576f, 0.003901f, 0.004440f, 0.004738f, 0.005543f, 0.006058f, 0.006508f, 0.007511f, 0.008163f, 0.009132f, - 0.010078f, 0.011246f, 0.012390f, 0.013412f, 0.014938f, 0.016632f, 0.018433f, 0.020676f, 0.022995f, 0.025726f, 0.028702f, 0.032227f, - 0.036377f, 0.041992f, 0.047394f, 0.053986f, 0.062195f, 0.071716f, 0.082825f, 0.096802f, 0.112732f, 0.132202f, 0.155273f, 0.182861f, - 0.215210f, 0.252441f, 0.294678f, 0.341553f, 0.392090f, 0.445557f, 0.499512f, 0.553711f, 0.606445f, 0.656250f, 0.703125f, 0.745605f, - 0.782715f, 0.816895f, 0.935547f, 0.939941f, 0.941406f, 0.941406f, 0.941406f, 0.940918f, 0.000242f, 0.000678f, 0.000781f, 0.000928f, - 0.001200f, 0.001592f, 0.001694f, 0.002096f, 0.002703f, 0.002903f, 0.003170f, 0.003531f, 0.003918f, 0.004433f, 0.004955f, 0.005390f, - 0.005939f, 0.006454f, 0.007298f, 0.007782f, 0.008759f, 0.009567f, 0.010559f, 0.011650f, 0.013046f, 0.014420f, 0.015793f, 0.017715f, - 0.019699f, 0.021774f, 0.024460f, 0.027481f, 0.031082f, 0.035065f, 0.039917f, 0.045715f, 0.052246f, 0.060486f, 0.070129f, 0.081482f, - 0.095093f, 0.111755f, 0.131714f, 0.155273f, 0.183838f, 0.217285f, 0.256348f, 0.300781f, 0.350342f, 0.403076f, 0.458252f, 0.514160f, - 0.570312f, 0.624512f, 0.675781f, 0.722168f, 0.763672f, 0.800293f, 0.930664f, 0.935547f, 0.937500f, 0.937012f, 0.937500f, 0.937012f, - 0.000239f, 0.000297f, 0.000667f, 0.000785f, 0.001044f, 0.001269f, 0.001569f, 0.001950f, 0.002224f, 0.002419f, 0.002810f, 0.003063f, - 0.003626f, 0.003895f, 0.004261f, 0.004749f, 0.005066f, 0.005726f, 0.006260f, 0.007019f, 0.007771f, 0.008369f, 0.008919f, 0.009941f, - 0.011101f, 0.012375f, 0.013519f, 0.015190f, 0.016891f, 0.018631f, 0.021011f, 0.023590f, 0.026581f, 0.029892f, 0.033875f, 0.038757f, - 0.044281f, 0.051147f, 0.058746f, 0.068481f, 0.079834f, 0.094116f, 0.110779f, 0.131348f, 0.155884f, 0.185669f, 0.220825f, 0.261963f, - 0.308594f, 0.360352f, 0.416260f, 0.473877f, 0.532715f, 0.589844f, 0.645508f, 0.696289f, 0.743652f, 0.784668f, 0.925781f, 0.930664f, - 0.932129f, 0.932129f, 0.932129f, 0.932129f, 0.000226f, 0.000351f, 0.000434f, 0.000624f, 0.000887f, 0.001040f, 0.001246f, 0.001665f, - 0.001856f, 0.002384f, 0.002420f, 0.002842f, 0.002874f, 0.003471f, 0.003735f, 0.004078f, 0.004639f, 0.004910f, 0.005531f, 0.006065f, - 0.006664f, 0.007370f, 0.007690f, 0.008690f, 0.009544f, 0.010536f, 0.011795f, 0.012833f, 0.014183f, 0.015900f, 0.017899f, 0.019684f, - 0.022430f, 0.025253f, 0.028412f, 0.032410f, 0.037201f, 0.042633f, 0.049316f, 0.057159f, 0.066772f, 0.078186f, 0.092590f, 0.110107f, - 0.131348f, 0.156982f, 0.188232f, 0.225342f, 0.269043f, 0.318604f, 0.373535f, 0.431641f, 0.492188f, 0.554199f, 0.613281f, 0.668945f, - 0.720703f, 0.766602f, 0.919922f, 0.925781f, 0.926758f, 0.926758f, 0.927246f, 0.926758f, 0.000000f, 0.000340f, 0.000458f, 0.000715f, - 0.000823f, 0.000895f, 0.001165f, 0.001518f, 0.001636f, 0.001876f, 0.002190f, 0.002472f, 0.002640f, 0.002964f, 0.003340f, 0.003527f, - 0.004005f, 0.004227f, 0.004803f, 0.005260f, 0.005878f, 0.006042f, 0.006805f, 0.007500f, 0.008469f, 0.009132f, 0.009949f, 0.011009f, - 0.012077f, 0.013687f, 0.014938f, 0.016785f, 0.018997f, 0.021194f, 0.023895f, 0.027283f, 0.030945f, 0.035583f, 0.040955f, 0.047760f, - 0.055573f, 0.065247f, 0.077209f, 0.091736f, 0.109619f, 0.131470f, 0.159058f, 0.192017f, 0.231812f, 0.278076f, 0.331543f, 0.389404f, - 0.450928f, 0.513672f, 0.577637f, 0.638672f, 0.695801f, 0.746582f, 0.914062f, 0.919922f, 0.920898f, 0.921387f, 0.921387f, 0.921387f, - 0.000146f, 0.000319f, 0.000443f, 0.000458f, 0.000704f, 0.000894f, 0.001199f, 0.001324f, 0.001549f, 0.001592f, 0.002081f, 0.002092f, - 0.002237f, 0.002604f, 0.002815f, 0.003159f, 0.003510f, 0.003937f, 0.004147f, 0.004425f, 0.004814f, 0.005318f, 0.005878f, 0.006413f, - 0.006924f, 0.007782f, 0.008408f, 0.009239f, 0.010414f, 0.011505f, 0.012642f, 0.014015f, 0.015884f, 0.017563f, 0.019852f, 0.022598f, - 0.025650f, 0.029663f, 0.033875f, 0.039307f, 0.045898f, 0.053955f, 0.063782f, 0.075928f, 0.090820f, 0.109497f, 0.132690f, 0.161621f, - 0.196777f, 0.239624f, 0.290039f, 0.346436f, 0.408203f, 0.473633f, 0.540527f, 0.605957f, 0.667969f, 0.725586f, 0.907715f, 0.914062f, - 0.914062f, 0.915039f, 0.915039f, 0.915039f, 0.000121f, 0.000251f, 0.000506f, 0.000532f, 0.000665f, 0.000830f, 0.001190f, 0.001164f, - 0.001290f, 0.001413f, 0.001755f, 0.001900f, 0.002157f, 0.002319f, 0.002422f, 0.002853f, 0.003042f, 0.003254f, 0.003529f, 0.003725f, - 0.004288f, 0.004585f, 0.005043f, 0.005539f, 0.005970f, 0.006386f, 0.007126f, 0.007812f, 0.008652f, 0.009598f, 0.010651f, 0.011803f, - 0.013130f, 0.014702f, 0.016510f, 0.018814f, 0.021011f, 0.024368f, 0.028122f, 0.032379f, 0.037506f, 0.044128f, 0.052277f, 0.062042f, - 0.075073f, 0.090088f, 0.110107f, 0.134766f, 0.165405f, 0.203613f, 0.249268f, 0.303955f, 0.365234f, 0.431396f, 0.501465f, 0.571777f, - 0.638672f, 0.702148f, 0.900879f, 0.906738f, 0.907227f, 0.908203f, 0.907227f, 0.908203f, 0.000241f, 0.000122f, 0.000417f, 0.000505f, - 0.000741f, 0.000782f, 0.000916f, 0.001145f, 0.001189f, 0.001289f, 0.001331f, 0.001565f, 0.001779f, 0.002020f, 0.002171f, 0.002228f, - 0.002623f, 0.002752f, 0.002949f, 0.003157f, 0.003515f, 0.003847f, 0.004082f, 0.004429f, 0.004990f, 0.005405f, 0.006008f, 0.006603f, - 0.007103f, 0.007889f, 0.008789f, 0.009766f, 0.010605f, 0.012177f, 0.013672f, 0.015305f, 0.017487f, 0.019913f, 0.022781f, 0.026245f, - 0.030670f, 0.035980f, 0.042389f, 0.050812f, 0.060883f, 0.073792f, 0.090088f, 0.111145f, 0.138062f, 0.171143f, 0.212524f, 0.262695f, - 0.322266f, 0.388184f, 0.460205f, 0.533203f, 0.606445f, 0.676758f, 0.893066f, 0.898926f, 0.899414f, 0.899414f, 0.900879f, 0.900391f, - 0.000000f, 0.000114f, 0.000227f, 0.000407f, 0.000532f, 0.000732f, 0.000714f, 0.000922f, 0.000993f, 0.001072f, 0.001190f, 0.001412f, - 0.001569f, 0.001726f, 0.001959f, 0.002071f, 0.002159f, 0.002350f, 0.002565f, 0.002729f, 0.003090f, 0.003248f, 0.003702f, 0.003761f, - 0.004192f, 0.004585f, 0.004925f, 0.005272f, 0.005966f, 0.006405f, 0.007275f, 0.007965f, 0.008850f, 0.009872f, 0.011017f, 0.012383f, - 0.014275f, 0.015900f, 0.018463f, 0.021194f, 0.024673f, 0.028870f, 0.034271f, 0.040955f, 0.048981f, 0.059723f, 0.073059f, 0.090149f, - 0.112549f, 0.141357f, 0.178467f, 0.223755f, 0.280029f, 0.345215f, 0.417969f, 0.494385f, 0.572266f, 0.648438f, 0.884277f, 0.890137f, - 0.891602f, 0.891602f, 0.893066f, 0.892090f, 0.000000f, 0.000219f, 0.000211f, 0.000333f, 0.000559f, 0.000609f, 0.000788f, 0.000805f, - 0.000869f, 0.000903f, 0.001101f, 0.001166f, 0.001302f, 0.001399f, 0.001456f, 0.001668f, 0.001853f, 0.001999f, 0.002102f, 0.002256f, - 0.002447f, 0.002728f, 0.002943f, 0.003178f, 0.003515f, 0.003836f, 0.004074f, 0.004475f, 0.004745f, 0.005325f, 0.005970f, 0.006569f, - 0.007248f, 0.008102f, 0.008888f, 0.010132f, 0.011169f, 0.012947f, 0.014763f, 0.016891f, 0.019760f, 0.023087f, 0.027176f, 0.032562f, - 0.038940f, 0.047516f, 0.058167f, 0.072754f, 0.090698f, 0.114929f, 0.146851f, 0.187744f, 0.239258f, 0.301514f, 0.373291f, 0.452637f, - 0.535645f, 0.617676f, 0.874512f, 0.880859f, 0.882324f, 0.883301f, 0.883301f, 0.882324f, 0.000204f, 0.000207f, 0.000204f, 0.000322f, - 0.000435f, 0.000480f, 0.000556f, 0.000615f, 0.000747f, 0.000782f, 0.000844f, 0.001006f, 0.001159f, 0.001191f, 0.001231f, 0.001450f, - 0.001585f, 0.001633f, 0.001790f, 0.001919f, 0.002117f, 0.002298f, 0.002432f, 0.002651f, 0.002939f, 0.003172f, 0.003399f, 0.003614f, - 0.003944f, 0.004421f, 0.004704f, 0.005203f, 0.005886f, 0.006454f, 0.007160f, 0.008049f, 0.009041f, 0.010201f, 0.011627f, 0.013237f, - 0.015404f, 0.018097f, 0.021469f, 0.025284f, 0.030884f, 0.036987f, 0.045990f, 0.056915f, 0.072083f, 0.092163f, 0.119141f, 0.154419f, - 0.200928f, 0.259277f, 0.328857f, 0.409424f, 0.495605f, 0.584473f, 0.864258f, 0.871094f, 0.872070f, 0.873047f, 0.872559f, 0.873047f, - 0.000000f, 0.000044f, 0.000176f, 0.000290f, 0.000410f, 0.000390f, 0.000513f, 0.000546f, 0.000647f, 0.000680f, 0.000827f, 0.000858f, - 0.000958f, 0.001131f, 0.001102f, 0.001223f, 0.001367f, 0.001401f, 0.001525f, 0.001610f, 0.001826f, 0.001821f, 0.002039f, 0.002253f, - 0.002459f, 0.002617f, 0.002708f, 0.003036f, 0.003279f, 0.003431f, 0.003805f, 0.004219f, 0.004471f, 0.004929f, 0.005569f, 0.006310f, - 0.007107f, 0.007988f, 0.009003f, 0.010384f, 0.011856f, 0.014015f, 0.016418f, 0.019669f, 0.023666f, 0.028809f, 0.035583f, 0.044159f, - 0.056458f, 0.072571f, 0.094604f, 0.124329f, 0.164917f, 0.218018f, 0.284912f, 0.364746f, 0.454102f, 0.549316f, 0.853027f, 0.859863f, - 0.861328f, 0.861816f, 0.861816f, 0.861816f, 0.000000f, 0.000069f, 0.000120f, 0.000345f, 0.000371f, 0.000398f, 0.000452f, 0.000396f, - 0.000498f, 0.000530f, 0.000596f, 0.000648f, 0.000781f, 0.000921f, 0.000995f, 0.001007f, 0.001101f, 0.001146f, 0.001282f, 0.001278f, - 0.001471f, 0.001554f, 0.001710f, 0.001811f, 0.001995f, 0.001986f, 0.002314f, 0.002399f, 0.002499f, 0.002903f, 0.002975f, 0.003305f, - 0.003605f, 0.004086f, 0.004425f, 0.005081f, 0.005402f, 0.006035f, 0.006889f, 0.007755f, 0.009041f, 0.010422f, 0.012672f, 0.014885f, - 0.017746f, 0.021530f, 0.026733f, 0.033691f, 0.043060f, 0.055847f, 0.073181f, 0.097473f, 0.132324f, 0.179077f, 0.241821f, 0.320068f, - 0.410400f, 0.510742f, 0.839844f, 0.847656f, 0.849121f, 0.849609f, 0.849121f, 0.849609f, 0.000000f, 0.000000f, 0.000121f, 0.000243f, - 0.000321f, 0.000354f, 0.000341f, 0.000431f, 0.000423f, 0.000444f, 0.000473f, 0.000508f, 0.000595f, 0.000706f, 0.000737f, 0.000861f, - 0.000869f, 0.000926f, 0.001055f, 0.001104f, 0.001199f, 0.001306f, 0.001360f, 0.001433f, 0.001530f, 0.001555f, 0.001673f, 0.001942f, - 0.002138f, 0.002247f, 0.002562f, 0.002609f, 0.002911f, 0.003204f, 0.003466f, 0.003757f, 0.004192f, 0.004845f, 0.005482f, 0.006008f, - 0.006874f, 0.007904f, 0.009171f, 0.011124f, 0.013260f, 0.015839f, 0.019821f, 0.024872f, 0.031982f, 0.041534f, 0.055054f, 0.075012f, - 0.103516f, 0.143677f, 0.199951f, 0.273438f, 0.364502f, 0.469482f, 0.825684f, 0.834473f, 0.834961f, 0.835938f, 0.835938f, 0.835938f, - 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000199f, 0.000272f, 0.000265f, 0.000363f, 0.000379f, 0.000388f, 0.000489f, 0.000500f, - 0.000488f, 0.000569f, 0.000604f, 0.000700f, 0.000683f, 0.000720f, 0.000784f, 0.000844f, 0.001009f, 0.001047f, 0.001108f, 0.001258f, - 0.001276f, 0.001388f, 0.001410f, 0.001565f, 0.001592f, 0.001814f, 0.001800f, 0.002167f, 0.002192f, 0.002556f, 0.002665f, 0.002905f, - 0.003195f, 0.003574f, 0.004028f, 0.004513f, 0.005127f, 0.005859f, 0.006847f, 0.008018f, 0.009491f, 0.011452f, 0.014099f, 0.017792f, - 0.022995f, 0.030258f, 0.040588f, 0.055878f, 0.078308f, 0.111450f, 0.160278f, 0.229248f, 0.318359f, 0.425781f, 0.810547f, 0.818359f, - 0.820312f, 0.821777f, 0.821777f, 0.820801f, 0.000000f, 0.000121f, 0.000120f, 0.000172f, 0.000195f, 0.000171f, 0.000208f, 0.000272f, - 0.000316f, 0.000333f, 0.000348f, 0.000355f, 0.000412f, 0.000410f, 0.000515f, 0.000485f, 0.000545f, 0.000656f, 0.000777f, 0.000659f, - 0.000705f, 0.000762f, 0.000874f, 0.000927f, 0.000959f, 0.000978f, 0.001045f, 0.001228f, 0.001294f, 0.001398f, 0.001443f, 0.001637f, - 0.001752f, 0.001925f, 0.002005f, 0.002230f, 0.002407f, 0.002670f, 0.002895f, 0.003267f, 0.003933f, 0.004280f, 0.005051f, 0.005772f, - 0.006718f, 0.008141f, 0.010117f, 0.012383f, 0.015930f, 0.020920f, 0.028671f, 0.039673f, 0.056702f, 0.083313f, 0.124695f, 0.185791f, - 0.270996f, 0.379639f, 0.793457f, 0.801270f, 0.803711f, 0.803711f, 0.804688f, 0.804688f, 0.000000f, 0.000121f, 0.000119f, 0.000144f, - 0.000149f, 0.000166f, 0.000173f, 0.000167f, 0.000214f, 0.000245f, 0.000334f, 0.000287f, 0.000303f, 0.000391f, 0.000401f, 0.000440f, - 0.000469f, 0.000493f, 0.000534f, 0.000513f, 0.000690f, 0.000682f, 0.000645f, 0.000712f, 0.000715f, 0.000747f, 0.000842f, 0.000849f, - 0.000967f, 0.000995f, 0.001178f, 0.001167f, 0.001273f, 0.001395f, 0.001586f, 0.001748f, 0.001796f, 0.001986f, 0.002132f, 0.002476f, - 0.002893f, 0.003294f, 0.003653f, 0.004086f, 0.004890f, 0.005821f, 0.006927f, 0.008553f, 0.010857f, 0.014137f, 0.019211f, 0.027084f, - 0.039642f, 0.059448f, 0.092468f, 0.144775f, 0.224487f, 0.332764f, 0.775391f, 0.784668f, 0.786133f, 0.786133f, 0.787109f, 0.786621f, - 0.000000f, 0.000000f, 0.000118f, 0.000116f, 0.000115f, 0.000113f, 0.000140f, 0.000140f, 0.000149f, 0.000220f, 0.000171f, 0.000255f, - 0.000274f, 0.000292f, 0.000318f, 0.000295f, 0.000346f, 0.000352f, 0.000380f, 0.000406f, 0.000401f, 0.000533f, 0.000490f, 0.000551f, - 0.000558f, 0.000648f, 0.000628f, 0.000723f, 0.000788f, 0.000749f, 0.000836f, 0.000941f, 0.000997f, 0.001065f, 0.001112f, 0.001207f, - 0.001328f, 0.001535f, 0.001621f, 0.001840f, 0.002022f, 0.002163f, 0.002522f, 0.002825f, 0.003391f, 0.003830f, 0.004616f, 0.005665f, - 0.007172f, 0.009247f, 0.012482f, 0.017532f, 0.025970f, 0.040161f, 0.064941f, 0.107422f, 0.178833f, 0.283447f, 0.754883f, 0.764648f, - 0.766113f, 0.767090f, 0.767578f, 0.767090f, 0.000000f, 0.000119f, 0.000116f, 0.000114f, 0.000112f, 0.000110f, 0.000109f, 0.000117f, - 0.000114f, 0.000117f, 0.000125f, 0.000193f, 0.000141f, 0.000196f, 0.000221f, 0.000235f, 0.000259f, 0.000278f, 0.000308f, 0.000316f, - 0.000323f, 0.000315f, 0.000329f, 0.000351f, 0.000388f, 0.000422f, 0.000465f, 0.000512f, 0.000571f, 0.000568f, 0.000588f, 0.000633f, - 0.000747f, 0.000751f, 0.000829f, 0.000958f, 0.000914f, 0.001104f, 0.001145f, 0.001255f, 0.001337f, 0.001499f, 0.001701f, 0.001966f, - 0.002275f, 0.002609f, 0.003119f, 0.003773f, 0.004658f, 0.005920f, 0.007935f, 0.010948f, 0.015900f, 0.025284f, 0.042511f, 0.075012f, - 0.135010f, 0.234619f, 0.733398f, 0.743164f, 0.744629f, 0.745117f, 0.745605f, 0.745605f, 0.000000f, 0.000116f, 0.000113f, 0.000111f, - 0.000108f, 0.000106f, 0.000104f, 0.000103f, 0.000098f, 0.000092f, 0.000099f, 0.000085f, 0.000098f, 0.000105f, 0.000163f, 0.000162f, - 0.000128f, 0.000193f, 0.000203f, 0.000214f, 0.000284f, 0.000239f, 0.000303f, 0.000268f, 0.000327f, 0.000326f, 0.000329f, 0.000330f, - 0.000407f, 0.000486f, 0.000406f, 0.000454f, 0.000465f, 0.000495f, 0.000535f, 0.000592f, 0.000648f, 0.000727f, 0.000753f, 0.000807f, - 0.000956f, 0.000992f, 0.001108f, 0.001294f, 0.001418f, 0.001703f, 0.001978f, 0.002390f, 0.002930f, 0.003643f, 0.004753f, 0.006519f, - 0.009499f, 0.014824f, 0.025497f, 0.048065f, 0.095154f, 0.185425f, 0.709961f, 0.719727f, 0.721191f, 0.721191f, 0.721680f, 0.721680f, - 0.000000f, 0.000113f, 0.000107f, 0.000106f, 0.000102f, 0.000100f, 0.000097f, 0.000096f, 0.000095f, 0.000092f, 0.000087f, 0.000083f, - 0.000078f, 0.000098f, 0.000077f, 0.000091f, 0.000114f, 0.000128f, 0.000114f, 0.000147f, 0.000154f, 0.000162f, 0.000186f, 0.000174f, - 0.000220f, 0.000233f, 0.000235f, 0.000245f, 0.000250f, 0.000253f, 0.000321f, 0.000296f, 0.000311f, 0.000354f, 0.000417f, 0.000419f, - 0.000438f, 0.000443f, 0.000495f, 0.000513f, 0.000585f, 0.000634f, 0.000705f, 0.000778f, 0.000912f, 0.001002f, 0.001163f, 0.001379f, - 0.001745f, 0.002092f, 0.002697f, 0.003721f, 0.005230f, 0.008194f, 0.013870f, 0.027359f, 0.061066f, 0.138062f, 0.685547f, 0.694336f, - 0.696777f, 0.696289f, 0.697754f, 0.697754f, 0.000000f, 0.000106f, 0.000102f, 0.000097f, 0.000093f, 0.000091f, 0.000089f, 0.000087f, - 0.000085f, 0.000084f, 0.000082f, 0.000080f, 0.000076f, 0.000072f, 0.000069f, 0.000074f, 0.000076f, 0.000059f, 0.000075f, 0.000062f, - 0.000085f, 0.000091f, 0.000103f, 0.000111f, 0.000121f, 0.000135f, 0.000128f, 0.000159f, 0.000171f, 0.000160f, 0.000178f, 0.000193f, - 0.000196f, 0.000202f, 0.000220f, 0.000230f, 0.000273f, 0.000289f, 0.000312f, 0.000330f, 0.000335f, 0.000397f, 0.000408f, 0.000463f, - 0.000517f, 0.000577f, 0.000691f, 0.000771f, 0.000919f, 0.001150f, 0.001436f, 0.001955f, 0.002737f, 0.004185f, 0.007103f, 0.013863f, - 0.033661f, 0.093628f, 0.657227f, 0.667480f, 0.668945f, 0.669434f, 0.670898f, 0.669922f, 0.000108f, 0.000093f, 0.000087f, 0.000082f, - 0.000079f, 0.000078f, 0.000075f, 0.000073f, 0.000071f, 0.000070f, 0.000069f, 0.000069f, 0.000067f, 0.000066f, 0.000064f, 0.000061f, - 0.000059f, 0.000056f, 0.000053f, 0.000051f, 0.000053f, 0.000049f, 0.000044f, 0.000047f, 0.000055f, 0.000058f, 0.000071f, 0.000077f, - 0.000093f, 0.000094f, 0.000103f, 0.000102f, 0.000110f, 0.000126f, 0.000130f, 0.000138f, 0.000143f, 0.000166f, 0.000166f, 0.000178f, - 0.000194f, 0.000217f, 0.000228f, 0.000231f, 0.000265f, 0.000330f, 0.000341f, 0.000411f, 0.000459f, 0.000549f, 0.000705f, 0.000867f, - 0.001228f, 0.001863f, 0.003143f, 0.006283f, 0.015594f, 0.054993f, 0.628418f, 0.638184f, 0.640137f, 0.640137f, 0.641602f, 0.641602f, - 0.000071f, 0.000058f, 0.000059f, 0.000058f, 0.000054f, 0.000054f, 0.000051f, 0.000053f, 0.000051f, 0.000052f, 0.000050f, 0.000050f, - 0.000051f, 0.000050f, 0.000049f, 0.000049f, 0.000049f, 0.000049f, 0.000047f, 0.000045f, 0.000043f, 0.000041f, 0.000039f, 0.000038f, - 0.000036f, 0.000034f, 0.000035f, 0.000037f, 0.000033f, 0.000034f, 0.000038f, 0.000047f, 0.000054f, 0.000061f, 0.000064f, 0.000068f, - 0.000069f, 0.000076f, 0.000083f, 0.000092f, 0.000098f, 0.000103f, 0.000112f, 0.000129f, 0.000113f, 0.000139f, 0.000152f, 0.000185f, - 0.000204f, 0.000238f, 0.000282f, 0.000365f, 0.000503f, 0.000685f, 0.001178f, 0.002274f, 0.006100f, 0.025162f, 0.597656f, 0.607910f, - 0.610840f, 0.611816f, 0.610352f, 0.611328f, 0.000000f, 0.000000f, 0.000004f, 0.000012f, 0.000014f, 0.000020f, 0.000022f, 0.000023f, - 0.000024f, 0.000022f, 0.000025f, 0.000027f, 0.000027f, 0.000026f, 0.000028f, 0.000029f, 0.000029f, 0.000029f, 0.000030f, 0.000030f, - 0.000030f, 0.000030f, 0.000030f, 0.000030f, 0.000029f, 0.000028f, 0.000027f, 0.000026f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, - 0.000020f, 0.000019f, 0.000018f, 0.000019f, 0.000023f, 0.000024f, 0.000027f, 0.000032f, 0.000038f, 0.000040f, 0.000041f, 0.000045f, - 0.000054f, 0.000052f, 0.000055f, 0.000060f, 0.000068f, 0.000089f, 0.000089f, 0.000115f, 0.000146f, 0.000198f, 0.000318f, 0.000586f, - 0.001614f, 0.008278f, 0.565918f, 0.576660f, 0.578125f, 0.579102f, 0.579590f, 0.580078f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, - 0.000003f, 0.000003f, 0.000005f, 0.000005f, 0.000006f, 0.000007f, 0.000009f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000012f, - 0.000013f, 0.000014f, 0.000014f, 0.000015f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, - 0.000009f, 0.000009f, 0.000008f, 0.000010f, 0.000013f, 0.000013f, 0.000013f, 0.000017f, 0.000017f, 0.000022f, 0.000021f, 0.000023f, - 0.000031f, 0.000032f, 0.000049f, 0.000079f, 0.000204f, 0.001328f, 0.533203f, 0.543945f, 0.545410f, 0.546387f, 0.546875f, 0.546875f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, - 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000016f, 0.499756f, 0.510254f, - 0.513184f, 0.513672f, 0.514160f, 0.514160f, - }, - { - 0.076172f, 0.209839f, 0.320312f, 0.408691f, 0.481689f, 0.541016f, 0.591309f, 0.633789f, 0.668945f, 0.699707f, 0.727051f, 0.749512f, - 0.770020f, 0.788086f, 0.803711f, 0.817871f, 0.832520f, 0.843750f, 0.854492f, 0.864258f, 0.873535f, 0.881836f, 0.889160f, 0.895996f, - 0.903320f, 0.909180f, 0.914551f, 0.920410f, 0.925781f, 0.929199f, 0.933594f, 0.938965f, 0.942383f, 0.946289f, 0.949219f, 0.953125f, - 0.955566f, 0.959473f, 0.961914f, 0.964355f, 0.967285f, 0.970215f, 0.971680f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.982422f, - 0.984375f, 0.986328f, 0.987793f, 0.989746f, 0.990723f, 0.992676f, 0.993652f, 0.995117f, 0.996582f, 0.998047f, 0.999023f, 0.997559f, - 0.996582f, 0.995605f, 0.994629f, 0.993652f, 0.043396f, 0.133301f, 0.221313f, 0.303223f, 0.377441f, 0.442871f, 0.500000f, 0.550781f, - 0.595215f, 0.632812f, 0.666992f, 0.696777f, 0.723145f, 0.745605f, 0.765137f, 0.783691f, 0.799805f, 0.815430f, 0.828613f, 0.839844f, - 0.851562f, 0.861328f, 0.871582f, 0.879395f, 0.887207f, 0.894531f, 0.901855f, 0.907227f, 0.914062f, 0.919434f, 0.924316f, 0.928711f, - 0.933594f, 0.937988f, 0.942383f, 0.945801f, 0.949219f, 0.953125f, 0.956055f, 0.959473f, 0.962402f, 0.964355f, 0.967773f, 0.970215f, - 0.972656f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.990234f, 0.991699f, 0.993652f, - 0.995117f, 0.996094f, 0.998047f, 0.997070f, 0.996094f, 0.995117f, 0.994141f, 0.993164f, 0.027832f, 0.088440f, 0.153198f, 0.221313f, - 0.288086f, 0.352051f, 0.411621f, 0.466797f, 0.515625f, 0.561523f, 0.601074f, 0.637207f, 0.667969f, 0.695312f, 0.721680f, 0.743652f, - 0.763184f, 0.781738f, 0.797852f, 0.812500f, 0.826172f, 0.838867f, 0.850098f, 0.859863f, 0.869141f, 0.877930f, 0.886230f, 0.893555f, - 0.900879f, 0.907227f, 0.912598f, 0.918457f, 0.922852f, 0.928711f, 0.934082f, 0.938477f, 0.942383f, 0.946289f, 0.950195f, 0.953125f, - 0.956543f, 0.959961f, 0.962402f, 0.965820f, 0.968262f, 0.970703f, 0.973145f, 0.975586f, 0.978027f, 0.979980f, 0.982422f, 0.984375f, - 0.985840f, 0.987793f, 0.989746f, 0.991211f, 0.993164f, 0.994141f, 0.997559f, 0.996582f, 0.995605f, 0.994629f, 0.993652f, 0.993164f, - 0.018921f, 0.061493f, 0.109497f, 0.161987f, 0.217041f, 0.273438f, 0.330811f, 0.384521f, 0.437500f, 0.486084f, 0.530273f, 0.570312f, - 0.607910f, 0.640137f, 0.670410f, 0.697266f, 0.722656f, 0.743652f, 0.763672f, 0.781250f, 0.797363f, 0.812012f, 0.825684f, 0.837891f, - 0.848633f, 0.859863f, 0.869141f, 0.878418f, 0.886719f, 0.893066f, 0.900879f, 0.906738f, 0.913574f, 0.919434f, 0.924316f, 0.930176f, - 0.934082f, 0.939453f, 0.942871f, 0.946777f, 0.950684f, 0.954590f, 0.958008f, 0.960449f, 0.963379f, 0.966797f, 0.969238f, 0.971680f, - 0.974121f, 0.977051f, 0.978516f, 0.980957f, 0.983398f, 0.985352f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.996094f, 0.995605f, - 0.994629f, 0.993652f, 0.993164f, 0.992188f, 0.013596f, 0.044495f, 0.080017f, 0.119873f, 0.164307f, 0.211670f, 0.261475f, 0.311523f, - 0.362793f, 0.410645f, 0.458008f, 0.501953f, 0.542969f, 0.580078f, 0.614746f, 0.645996f, 0.674805f, 0.701172f, 0.723633f, 0.745117f, - 0.765625f, 0.782227f, 0.798828f, 0.812988f, 0.826172f, 0.838867f, 0.849609f, 0.861328f, 0.870605f, 0.878906f, 0.887695f, 0.895020f, - 0.901855f, 0.907715f, 0.914551f, 0.920898f, 0.925781f, 0.930664f, 0.934570f, 0.940918f, 0.943848f, 0.947754f, 0.951660f, 0.955566f, - 0.958984f, 0.961914f, 0.964844f, 0.967773f, 0.970703f, 0.973145f, 0.975586f, 0.978027f, 0.979980f, 0.982422f, 0.984863f, 0.986328f, - 0.988770f, 0.990234f, 0.995117f, 0.995117f, 0.994141f, 0.993652f, 0.992676f, 0.991699f, 0.010414f, 0.033203f, 0.060364f, 0.090942f, - 0.125610f, 0.163818f, 0.206421f, 0.250488f, 0.295898f, 0.341797f, 0.388428f, 0.433350f, 0.475830f, 0.517090f, 0.555176f, 0.589844f, - 0.622559f, 0.652344f, 0.680176f, 0.704590f, 0.729004f, 0.748535f, 0.767578f, 0.784668f, 0.800293f, 0.814941f, 0.828125f, 0.839844f, - 0.852051f, 0.861816f, 0.871582f, 0.879883f, 0.888672f, 0.895996f, 0.903320f, 0.909180f, 0.916016f, 0.921387f, 0.927246f, 0.931641f, - 0.937012f, 0.940918f, 0.946289f, 0.950195f, 0.953125f, 0.957520f, 0.960449f, 0.963867f, 0.966309f, 0.969238f, 0.972168f, 0.975098f, - 0.976562f, 0.979492f, 0.981934f, 0.983887f, 0.985840f, 0.988281f, 0.994629f, 0.994141f, 0.993652f, 0.992676f, 0.991699f, 0.990723f, - 0.007889f, 0.025772f, 0.046539f, 0.070312f, 0.097168f, 0.128540f, 0.162354f, 0.200195f, 0.239868f, 0.281738f, 0.325195f, 0.368896f, - 0.411621f, 0.453125f, 0.493652f, 0.531738f, 0.566406f, 0.601074f, 0.631836f, 0.659668f, 0.687988f, 0.709961f, 0.732422f, 0.753418f, - 0.770996f, 0.788086f, 0.804199f, 0.818359f, 0.831543f, 0.843750f, 0.854492f, 0.864746f, 0.873535f, 0.882812f, 0.890137f, 0.898438f, - 0.905273f, 0.912598f, 0.917969f, 0.923828f, 0.929199f, 0.934570f, 0.938477f, 0.942871f, 0.948242f, 0.951660f, 0.955078f, 0.958496f, - 0.961914f, 0.965332f, 0.968262f, 0.971680f, 0.973633f, 0.976562f, 0.979492f, 0.981445f, 0.983398f, 0.985352f, 0.993164f, 0.993164f, - 0.992676f, 0.991699f, 0.991211f, 0.990234f, 0.006332f, 0.020325f, 0.036438f, 0.055573f, 0.077026f, 0.101562f, 0.129028f, 0.160278f, - 0.194458f, 0.230347f, 0.268555f, 0.309326f, 0.350830f, 0.391846f, 0.432373f, 0.472412f, 0.509277f, 0.545410f, 0.579102f, 0.611816f, - 0.640625f, 0.668945f, 0.693848f, 0.716797f, 0.739258f, 0.758789f, 0.775879f, 0.793945f, 0.807617f, 0.821777f, 0.834961f, 0.846680f, - 0.857422f, 0.867676f, 0.877441f, 0.885742f, 0.893555f, 0.900391f, 0.908203f, 0.915039f, 0.920898f, 0.926270f, 0.931152f, 0.937012f, - 0.940918f, 0.946289f, 0.949219f, 0.954102f, 0.958008f, 0.960938f, 0.964355f, 0.967773f, 0.970703f, 0.973145f, 0.975586f, 0.978516f, - 0.981445f, 0.983398f, 0.992188f, 0.992188f, 0.991699f, 0.990723f, 0.990723f, 0.989746f, 0.005226f, 0.016647f, 0.029556f, 0.044434f, - 0.061523f, 0.081543f, 0.103760f, 0.129150f, 0.157837f, 0.188477f, 0.221924f, 0.257812f, 0.295654f, 0.334473f, 0.374023f, 0.412842f, - 0.451904f, 0.489990f, 0.525391f, 0.560059f, 0.593262f, 0.623047f, 0.651855f, 0.678223f, 0.702148f, 0.725098f, 0.745605f, 0.764160f, - 0.781738f, 0.799316f, 0.812500f, 0.827148f, 0.838867f, 0.851074f, 0.861328f, 0.871582f, 0.880371f, 0.889648f, 0.896973f, 0.904297f, - 0.911621f, 0.917480f, 0.923340f, 0.929688f, 0.934570f, 0.939941f, 0.943848f, 0.948242f, 0.951660f, 0.957031f, 0.959473f, 0.963379f, - 0.966797f, 0.969727f, 0.972656f, 0.976074f, 0.979004f, 0.980957f, 0.991699f, 0.991211f, 0.990723f, 0.990234f, 0.989746f, 0.988770f, - 0.004108f, 0.013542f, 0.023819f, 0.036194f, 0.050262f, 0.066223f, 0.084717f, 0.104797f, 0.128174f, 0.153809f, 0.182861f, 0.213989f, - 0.247437f, 0.282471f, 0.319580f, 0.357422f, 0.395508f, 0.433350f, 0.470947f, 0.506348f, 0.542480f, 0.575684f, 0.605957f, 0.635254f, - 0.662109f, 0.687988f, 0.711426f, 0.732910f, 0.753418f, 0.771973f, 0.789062f, 0.804688f, 0.819336f, 0.831543f, 0.843750f, 0.855469f, - 0.866211f, 0.875488f, 0.884766f, 0.893066f, 0.901367f, 0.907715f, 0.914062f, 0.921387f, 0.927246f, 0.932129f, 0.937012f, 0.942383f, - 0.946777f, 0.951660f, 0.956055f, 0.959473f, 0.962891f, 0.966309f, 0.969238f, 0.972168f, 0.975098f, 0.978027f, 0.989746f, 0.990234f, - 0.990234f, 0.989258f, 0.989258f, 0.988281f, 0.003597f, 0.011330f, 0.020065f, 0.029938f, 0.041412f, 0.054504f, 0.068970f, 0.086182f, - 0.105469f, 0.126709f, 0.151123f, 0.177612f, 0.206909f, 0.237915f, 0.271484f, 0.305664f, 0.342529f, 0.378906f, 0.416748f, 0.453125f, - 0.489502f, 0.524414f, 0.558105f, 0.589844f, 0.619629f, 0.646973f, 0.673828f, 0.698242f, 0.721191f, 0.742676f, 0.761230f, 0.778809f, - 0.796387f, 0.810547f, 0.824707f, 0.837891f, 0.850098f, 0.861328f, 0.871094f, 0.881348f, 0.889648f, 0.896973f, 0.904785f, 0.912109f, - 0.919434f, 0.924316f, 0.931152f, 0.936523f, 0.941895f, 0.946289f, 0.951172f, 0.955078f, 0.959473f, 0.962402f, 0.965820f, 0.969238f, - 0.972656f, 0.975586f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.987793f, 0.987305f, 0.002836f, 0.009857f, 0.016693f, 0.025208f, - 0.034668f, 0.045288f, 0.057617f, 0.071106f, 0.087463f, 0.104858f, 0.125000f, 0.147461f, 0.172119f, 0.199829f, 0.229248f, 0.260742f, - 0.294434f, 0.329102f, 0.365479f, 0.400879f, 0.437012f, 0.472656f, 0.508301f, 0.541992f, 0.574219f, 0.604980f, 0.634766f, 0.660645f, - 0.686523f, 0.709473f, 0.731445f, 0.751953f, 0.770996f, 0.789062f, 0.804199f, 0.817871f, 0.832520f, 0.844727f, 0.856445f, 0.867188f, - 0.876953f, 0.886719f, 0.895020f, 0.902832f, 0.909668f, 0.916504f, 0.923340f, 0.929688f, 0.935547f, 0.939941f, 0.944824f, 0.949707f, - 0.954102f, 0.958496f, 0.961914f, 0.965820f, 0.969238f, 0.972656f, 0.987793f, 0.988281f, 0.988281f, 0.987793f, 0.986816f, 0.986328f, - 0.002541f, 0.008118f, 0.014244f, 0.021194f, 0.029480f, 0.037811f, 0.048584f, 0.060028f, 0.073242f, 0.088196f, 0.104370f, 0.123047f, - 0.144531f, 0.167114f, 0.193237f, 0.220947f, 0.250977f, 0.282227f, 0.316162f, 0.351074f, 0.386719f, 0.422119f, 0.457520f, 0.492432f, - 0.526367f, 0.559082f, 0.590332f, 0.621094f, 0.648438f, 0.674316f, 0.698730f, 0.721191f, 0.742188f, 0.762207f, 0.780762f, 0.797363f, - 0.812500f, 0.826172f, 0.840332f, 0.852051f, 0.863770f, 0.873535f, 0.883301f, 0.892090f, 0.900391f, 0.908203f, 0.915039f, 0.922363f, - 0.928711f, 0.933594f, 0.939453f, 0.944824f, 0.950195f, 0.953125f, 0.958008f, 0.962402f, 0.965332f, 0.969238f, 0.986816f, 0.987305f, - 0.986816f, 0.986328f, 0.985840f, 0.984863f, 0.002115f, 0.007030f, 0.012138f, 0.017944f, 0.024521f, 0.032318f, 0.040955f, 0.050476f, - 0.061676f, 0.073914f, 0.087769f, 0.103271f, 0.121033f, 0.140747f, 0.162598f, 0.187256f, 0.213379f, 0.242065f, 0.272705f, 0.305176f, - 0.338623f, 0.373047f, 0.408691f, 0.443848f, 0.478760f, 0.512695f, 0.545898f, 0.577637f, 0.607910f, 0.636719f, 0.663086f, 0.688965f, - 0.712402f, 0.734863f, 0.754395f, 0.774414f, 0.791016f, 0.806641f, 0.822266f, 0.835449f, 0.848145f, 0.859863f, 0.870605f, 0.880371f, - 0.890137f, 0.898438f, 0.906250f, 0.914551f, 0.921387f, 0.926758f, 0.933594f, 0.938965f, 0.944336f, 0.949219f, 0.954102f, 0.958984f, - 0.961914f, 0.965820f, 0.985840f, 0.986328f, 0.985840f, 0.985352f, 0.985352f, 0.984375f, 0.001999f, 0.006226f, 0.010384f, 0.015594f, - 0.021027f, 0.027435f, 0.034637f, 0.042969f, 0.052124f, 0.062469f, 0.074097f, 0.087646f, 0.102173f, 0.119141f, 0.137695f, 0.158203f, - 0.181396f, 0.206543f, 0.233643f, 0.263184f, 0.295166f, 0.327148f, 0.360596f, 0.395264f, 0.430420f, 0.464600f, 0.499023f, 0.532227f, - 0.564941f, 0.595703f, 0.625000f, 0.651855f, 0.679199f, 0.703613f, 0.726074f, 0.747559f, 0.766602f, 0.784668f, 0.801758f, 0.816895f, - 0.831055f, 0.843750f, 0.856934f, 0.867188f, 0.878418f, 0.887207f, 0.896484f, 0.904785f, 0.913086f, 0.919922f, 0.926270f, 0.932617f, - 0.938477f, 0.944336f, 0.949707f, 0.953613f, 0.958496f, 0.962891f, 0.983887f, 0.984863f, 0.984863f, 0.984375f, 0.983887f, 0.983398f, - 0.001891f, 0.004959f, 0.009300f, 0.013786f, 0.018433f, 0.023560f, 0.029892f, 0.037018f, 0.044586f, 0.053284f, 0.062805f, 0.074341f, - 0.086975f, 0.100586f, 0.116760f, 0.133789f, 0.154175f, 0.176025f, 0.200317f, 0.226318f, 0.254395f, 0.284424f, 0.316650f, 0.349365f, - 0.383301f, 0.418213f, 0.452393f, 0.487061f, 0.520508f, 0.553223f, 0.584473f, 0.613770f, 0.643066f, 0.668945f, 0.695312f, 0.718262f, - 0.740234f, 0.761230f, 0.778809f, 0.797363f, 0.812988f, 0.827148f, 0.840332f, 0.854004f, 0.865723f, 0.875977f, 0.886230f, 0.895020f, - 0.904297f, 0.912598f, 0.919922f, 0.926270f, 0.932617f, 0.938965f, 0.943359f, 0.949219f, 0.955078f, 0.958984f, 0.982422f, 0.983887f, - 0.983398f, 0.982910f, 0.982910f, 0.981934f, 0.001368f, 0.004715f, 0.008041f, 0.011948f, 0.016235f, 0.020889f, 0.025848f, 0.031921f, - 0.038391f, 0.045563f, 0.054108f, 0.063477f, 0.074036f, 0.085815f, 0.099304f, 0.114563f, 0.131104f, 0.150146f, 0.170654f, 0.193970f, - 0.219360f, 0.246338f, 0.275146f, 0.306396f, 0.338867f, 0.372559f, 0.406494f, 0.440918f, 0.474609f, 0.508789f, 0.541992f, 0.574219f, - 0.604492f, 0.634277f, 0.661133f, 0.687500f, 0.710938f, 0.733887f, 0.754883f, 0.774414f, 0.792480f, 0.809570f, 0.824707f, 0.838379f, - 0.852051f, 0.862793f, 0.874023f, 0.885254f, 0.895020f, 0.903320f, 0.912109f, 0.919434f, 0.926758f, 0.932617f, 0.939941f, 0.945312f, - 0.951172f, 0.955078f, 0.980957f, 0.982910f, 0.982422f, 0.982422f, 0.981445f, 0.981445f, 0.001393f, 0.004227f, 0.007011f, 0.010323f, - 0.014107f, 0.018234f, 0.022766f, 0.027649f, 0.032898f, 0.039581f, 0.046539f, 0.054230f, 0.063293f, 0.073608f, 0.085144f, 0.097961f, - 0.112305f, 0.127930f, 0.146362f, 0.166260f, 0.188599f, 0.212524f, 0.238647f, 0.266846f, 0.297363f, 0.328369f, 0.361816f, 0.395752f, - 0.429932f, 0.464844f, 0.498535f, 0.531250f, 0.564453f, 0.596191f, 0.625488f, 0.653320f, 0.680176f, 0.704590f, 0.728027f, 0.750977f, - 0.770020f, 0.788574f, 0.805176f, 0.821289f, 0.835449f, 0.849609f, 0.862793f, 0.874023f, 0.884277f, 0.894043f, 0.903320f, 0.911621f, - 0.919434f, 0.926758f, 0.933594f, 0.939453f, 0.945312f, 0.951172f, 0.979492f, 0.980957f, 0.980957f, 0.980957f, 0.980469f, 0.979980f, - 0.001163f, 0.003527f, 0.006229f, 0.009323f, 0.012199f, 0.015808f, 0.019928f, 0.024200f, 0.028870f, 0.033997f, 0.040161f, 0.046967f, - 0.054871f, 0.063477f, 0.073181f, 0.083618f, 0.096252f, 0.109863f, 0.125122f, 0.142334f, 0.161743f, 0.182739f, 0.206421f, 0.232300f, - 0.259277f, 0.288086f, 0.320068f, 0.352783f, 0.386475f, 0.420410f, 0.454590f, 0.489258f, 0.521973f, 0.555176f, 0.586914f, 0.617188f, - 0.646484f, 0.673828f, 0.699707f, 0.723633f, 0.746094f, 0.766113f, 0.785645f, 0.803223f, 0.819336f, 0.834961f, 0.848633f, 0.861328f, - 0.873535f, 0.884766f, 0.893555f, 0.903809f, 0.911621f, 0.920410f, 0.928223f, 0.934082f, 0.939941f, 0.946777f, 0.978027f, 0.979492f, - 0.979492f, 0.979004f, 0.979004f, 0.978516f, 0.000981f, 0.002987f, 0.005329f, 0.008186f, 0.010895f, 0.013832f, 0.017532f, 0.021149f, - 0.025253f, 0.029999f, 0.035034f, 0.040985f, 0.047485f, 0.054993f, 0.063049f, 0.072510f, 0.082581f, 0.094421f, 0.107727f, 0.122498f, - 0.138794f, 0.157471f, 0.178467f, 0.200562f, 0.225586f, 0.251953f, 0.281250f, 0.311279f, 0.343750f, 0.377197f, 0.411621f, 0.445557f, - 0.479736f, 0.513672f, 0.546875f, 0.579590f, 0.610352f, 0.640625f, 0.668457f, 0.694336f, 0.718750f, 0.742188f, 0.762695f, 0.782715f, - 0.801270f, 0.817871f, 0.833496f, 0.847168f, 0.860840f, 0.872559f, 0.884277f, 0.894531f, 0.904297f, 0.912598f, 0.920898f, 0.928711f, - 0.935547f, 0.942383f, 0.976074f, 0.978027f, 0.978516f, 0.978027f, 0.977539f, 0.977051f, 0.000880f, 0.002707f, 0.005089f, 0.007305f, - 0.010147f, 0.012596f, 0.015160f, 0.018616f, 0.022507f, 0.026230f, 0.030777f, 0.035767f, 0.041351f, 0.047455f, 0.054565f, 0.062256f, - 0.071289f, 0.081299f, 0.092346f, 0.105408f, 0.119812f, 0.135620f, 0.153320f, 0.173462f, 0.195068f, 0.219482f, 0.245361f, 0.273682f, - 0.303711f, 0.335938f, 0.368896f, 0.402588f, 0.437500f, 0.472168f, 0.505859f, 0.539551f, 0.573242f, 0.604492f, 0.634766f, 0.663086f, - 0.689453f, 0.714844f, 0.738770f, 0.760254f, 0.780762f, 0.799316f, 0.817383f, 0.833496f, 0.847168f, 0.860840f, 0.873535f, 0.884766f, - 0.895508f, 0.905273f, 0.914062f, 0.922363f, 0.930176f, 0.937012f, 0.974609f, 0.976074f, 0.976074f, 0.976562f, 0.976074f, 0.975586f, - 0.000851f, 0.002659f, 0.004692f, 0.006466f, 0.008545f, 0.011055f, 0.013649f, 0.016403f, 0.019714f, 0.023056f, 0.026962f, 0.031235f, - 0.035828f, 0.041656f, 0.047699f, 0.054077f, 0.061859f, 0.070496f, 0.080200f, 0.091125f, 0.103088f, 0.116882f, 0.132446f, 0.149780f, - 0.168701f, 0.190430f, 0.213379f, 0.239258f, 0.267334f, 0.296631f, 0.328369f, 0.360840f, 0.395020f, 0.429932f, 0.464355f, 0.499512f, - 0.533203f, 0.566406f, 0.599121f, 0.629883f, 0.658203f, 0.687012f, 0.712402f, 0.735840f, 0.758789f, 0.779297f, 0.798828f, 0.816406f, - 0.832520f, 0.847168f, 0.861328f, 0.874023f, 0.886230f, 0.896973f, 0.907227f, 0.915527f, 0.924805f, 0.931641f, 0.972168f, 0.975586f, - 0.975586f, 0.974609f, 0.974121f, 0.973633f, 0.000762f, 0.002214f, 0.004040f, 0.005859f, 0.007790f, 0.009689f, 0.012161f, 0.014786f, - 0.017441f, 0.020493f, 0.023956f, 0.027618f, 0.031860f, 0.036255f, 0.041595f, 0.047394f, 0.053894f, 0.061188f, 0.069214f, 0.078735f, - 0.089050f, 0.101135f, 0.114441f, 0.129150f, 0.145874f, 0.164673f, 0.185303f, 0.208862f, 0.233765f, 0.260742f, 0.290283f, 0.321045f, - 0.354248f, 0.388184f, 0.422607f, 0.457764f, 0.493652f, 0.526855f, 0.561523f, 0.594238f, 0.625977f, 0.655273f, 0.683594f, 0.710449f, - 0.734863f, 0.758301f, 0.779297f, 0.798828f, 0.817383f, 0.833984f, 0.848145f, 0.862793f, 0.875488f, 0.887207f, 0.899414f, 0.908691f, - 0.917969f, 0.926270f, 0.970215f, 0.972656f, 0.974121f, 0.973145f, 0.972656f, 0.972168f, 0.000732f, 0.001928f, 0.003513f, 0.005234f, - 0.007042f, 0.008629f, 0.010620f, 0.012985f, 0.015244f, 0.018158f, 0.020935f, 0.024475f, 0.027908f, 0.032013f, 0.036316f, 0.041290f, - 0.046661f, 0.053040f, 0.060089f, 0.068115f, 0.077087f, 0.087463f, 0.099121f, 0.111633f, 0.126221f, 0.142578f, 0.160767f, 0.181396f, - 0.203003f, 0.228149f, 0.255127f, 0.284180f, 0.315186f, 0.347900f, 0.381836f, 0.416748f, 0.451904f, 0.487549f, 0.522949f, 0.556641f, - 0.590332f, 0.623047f, 0.652832f, 0.682129f, 0.708984f, 0.733887f, 0.757324f, 0.779785f, 0.799316f, 0.818359f, 0.835449f, 0.850586f, - 0.865234f, 0.877441f, 0.890137f, 0.901367f, 0.912109f, 0.920410f, 0.968262f, 0.970703f, 0.971191f, 0.970703f, 0.971191f, 0.971191f, - 0.000524f, 0.001758f, 0.003185f, 0.004864f, 0.006081f, 0.007820f, 0.009705f, 0.011467f, 0.013634f, 0.016068f, 0.018707f, 0.021378f, - 0.024597f, 0.028030f, 0.032135f, 0.036224f, 0.041016f, 0.046692f, 0.052399f, 0.059265f, 0.067505f, 0.076050f, 0.085510f, 0.096558f, - 0.109253f, 0.123657f, 0.138794f, 0.157227f, 0.176880f, 0.198730f, 0.223267f, 0.250000f, 0.278809f, 0.309326f, 0.342041f, 0.375977f, - 0.410889f, 0.447021f, 0.483154f, 0.518555f, 0.554199f, 0.586914f, 0.620117f, 0.650879f, 0.681641f, 0.708496f, 0.734375f, 0.757324f, - 0.780762f, 0.801270f, 0.819336f, 0.837891f, 0.852539f, 0.867188f, 0.880371f, 0.893066f, 0.903809f, 0.914551f, 0.966309f, 0.968750f, - 0.969238f, 0.969727f, 0.968750f, 0.968750f, 0.000503f, 0.001896f, 0.002653f, 0.004128f, 0.005627f, 0.007004f, 0.008797f, 0.010361f, - 0.012230f, 0.014175f, 0.016647f, 0.019348f, 0.021454f, 0.024872f, 0.028290f, 0.031830f, 0.036163f, 0.040649f, 0.045715f, 0.051941f, - 0.058319f, 0.065979f, 0.074402f, 0.083618f, 0.094360f, 0.106812f, 0.120239f, 0.135742f, 0.153320f, 0.172974f, 0.194824f, 0.218506f, - 0.245117f, 0.273926f, 0.304688f, 0.336426f, 0.371094f, 0.406982f, 0.442627f, 0.479492f, 0.514648f, 0.550781f, 0.584961f, 0.618652f, - 0.650879f, 0.681152f, 0.709473f, 0.735352f, 0.760742f, 0.782715f, 0.803711f, 0.821777f, 0.838867f, 0.855957f, 0.870605f, 0.884277f, - 0.895996f, 0.906738f, 0.964355f, 0.966309f, 0.967285f, 0.966797f, 0.966309f, 0.966309f, 0.000636f, 0.001421f, 0.002768f, 0.003761f, - 0.004944f, 0.006462f, 0.007889f, 0.009262f, 0.010780f, 0.013000f, 0.014946f, 0.017029f, 0.019516f, 0.022049f, 0.024933f, 0.028091f, - 0.031616f, 0.035553f, 0.040161f, 0.045380f, 0.051239f, 0.057281f, 0.064270f, 0.072693f, 0.081970f, 0.092468f, 0.104736f, 0.117859f, - 0.132690f, 0.150391f, 0.169189f, 0.190796f, 0.214233f, 0.240601f, 0.268555f, 0.299561f, 0.332520f, 0.367188f, 0.402344f, 0.438965f, - 0.476074f, 0.512695f, 0.549805f, 0.584473f, 0.619141f, 0.651367f, 0.681152f, 0.709961f, 0.737305f, 0.762695f, 0.785156f, 0.806641f, - 0.826172f, 0.843262f, 0.859375f, 0.874023f, 0.888184f, 0.900391f, 0.961426f, 0.964355f, 0.965332f, 0.964844f, 0.964355f, 0.964844f, - 0.000295f, 0.001419f, 0.002342f, 0.003471f, 0.004539f, 0.005821f, 0.006882f, 0.008354f, 0.010155f, 0.011574f, 0.013283f, 0.015129f, - 0.017090f, 0.019333f, 0.022125f, 0.024643f, 0.028122f, 0.031586f, 0.035522f, 0.039825f, 0.044586f, 0.050110f, 0.056091f, 0.063354f, - 0.071045f, 0.080078f, 0.090637f, 0.102112f, 0.115479f, 0.130127f, 0.147217f, 0.165649f, 0.186768f, 0.210571f, 0.236694f, 0.265137f, - 0.295654f, 0.328857f, 0.363770f, 0.399902f, 0.436523f, 0.474365f, 0.511230f, 0.548828f, 0.584961f, 0.619141f, 0.652344f, 0.684082f, - 0.712891f, 0.741211f, 0.766113f, 0.789062f, 0.810547f, 0.830078f, 0.848633f, 0.864258f, 0.879395f, 0.892578f, 0.958496f, 0.962402f, - 0.962402f, 0.962402f, 0.961914f, 0.962402f, 0.000464f, 0.001313f, 0.002159f, 0.003134f, 0.004463f, 0.005001f, 0.006466f, 0.007595f, - 0.008842f, 0.010277f, 0.011971f, 0.013550f, 0.015434f, 0.017242f, 0.019348f, 0.021805f, 0.024734f, 0.027817f, 0.031174f, 0.034821f, - 0.039124f, 0.043823f, 0.049164f, 0.055237f, 0.062164f, 0.069336f, 0.078430f, 0.088501f, 0.099976f, 0.112854f, 0.127319f, 0.143555f, - 0.162354f, 0.183350f, 0.207031f, 0.233032f, 0.260986f, 0.291992f, 0.325195f, 0.361084f, 0.397217f, 0.435059f, 0.473389f, 0.510742f, - 0.549316f, 0.586426f, 0.620605f, 0.654785f, 0.686523f, 0.716797f, 0.744629f, 0.769043f, 0.793945f, 0.815918f, 0.834961f, 0.852539f, - 0.869141f, 0.884277f, 0.955078f, 0.959473f, 0.959473f, 0.959473f, 0.959961f, 0.959961f, 0.000541f, 0.001223f, 0.002172f, 0.002886f, - 0.003679f, 0.004681f, 0.005512f, 0.006683f, 0.008049f, 0.009346f, 0.010704f, 0.012024f, 0.013626f, 0.015213f, 0.017227f, 0.019516f, - 0.022079f, 0.024612f, 0.027313f, 0.030731f, 0.034180f, 0.038239f, 0.042969f, 0.048187f, 0.053864f, 0.060516f, 0.068298f, 0.076843f, - 0.086670f, 0.097473f, 0.110107f, 0.124268f, 0.140869f, 0.159302f, 0.180420f, 0.203613f, 0.229614f, 0.258057f, 0.289062f, 0.323486f, - 0.358398f, 0.395996f, 0.434082f, 0.472900f, 0.511719f, 0.550293f, 0.587402f, 0.624023f, 0.658203f, 0.690918f, 0.721191f, 0.749512f, - 0.774902f, 0.799316f, 0.821289f, 0.840820f, 0.859375f, 0.875488f, 0.952637f, 0.956543f, 0.957520f, 0.957520f, 0.957520f, 0.957031f, - 0.000252f, 0.001056f, 0.001923f, 0.002523f, 0.003414f, 0.003960f, 0.005146f, 0.006172f, 0.007130f, 0.008179f, 0.009567f, 0.010735f, - 0.012077f, 0.013878f, 0.015640f, 0.017456f, 0.019638f, 0.021622f, 0.024170f, 0.026978f, 0.030121f, 0.033630f, 0.037445f, 0.042053f, - 0.047119f, 0.052826f, 0.059174f, 0.066711f, 0.075012f, 0.084473f, 0.095276f, 0.107727f, 0.122070f, 0.138184f, 0.156250f, 0.177246f, - 0.200928f, 0.226929f, 0.255371f, 0.286865f, 0.321289f, 0.356934f, 0.395264f, 0.434326f, 0.473877f, 0.514160f, 0.553711f, 0.591797f, - 0.628418f, 0.663574f, 0.696777f, 0.728027f, 0.755859f, 0.782715f, 0.806152f, 0.829102f, 0.847656f, 0.867188f, 0.949707f, 0.954102f, - 0.954590f, 0.954590f, 0.954102f, 0.954590f, 0.000365f, 0.000963f, 0.001581f, 0.002337f, 0.002996f, 0.003952f, 0.004608f, 0.005459f, - 0.006489f, 0.007351f, 0.008484f, 0.009544f, 0.011108f, 0.012413f, 0.013901f, 0.015388f, 0.017181f, 0.019012f, 0.021439f, 0.023727f, - 0.026520f, 0.029449f, 0.032898f, 0.036835f, 0.041046f, 0.045868f, 0.051575f, 0.058075f, 0.064758f, 0.073120f, 0.082520f, 0.093079f, - 0.105652f, 0.119385f, 0.135620f, 0.153687f, 0.174683f, 0.198364f, 0.224365f, 0.253662f, 0.285400f, 0.320557f, 0.357178f, 0.395752f, - 0.435791f, 0.476318f, 0.516602f, 0.557129f, 0.596191f, 0.633789f, 0.669434f, 0.703613f, 0.734375f, 0.763672f, 0.790039f, 0.812988f, - 0.836914f, 0.855957f, 0.946289f, 0.949707f, 0.951172f, 0.951172f, 0.951172f, 0.951172f, 0.000404f, 0.001028f, 0.001410f, 0.002098f, - 0.002657f, 0.003445f, 0.004391f, 0.005039f, 0.005665f, 0.006569f, 0.007549f, 0.008614f, 0.009743f, 0.011108f, 0.012390f, 0.013611f, - 0.015396f, 0.017044f, 0.018921f, 0.020874f, 0.023453f, 0.025833f, 0.028809f, 0.032501f, 0.036011f, 0.040161f, 0.044952f, 0.050018f, - 0.056091f, 0.063477f, 0.071533f, 0.080200f, 0.091064f, 0.103027f, 0.117065f, 0.133057f, 0.151489f, 0.171997f, 0.196045f, 0.222290f, - 0.251709f, 0.284424f, 0.319824f, 0.357422f, 0.397217f, 0.438232f, 0.479492f, 0.521484f, 0.562500f, 0.602051f, 0.641113f, 0.677734f, - 0.711914f, 0.743164f, 0.772461f, 0.799316f, 0.822754f, 0.845215f, 0.942383f, 0.946777f, 0.947754f, 0.947754f, 0.948242f, 0.948242f, - 0.000406f, 0.000992f, 0.001447f, 0.001986f, 0.002499f, 0.003149f, 0.003769f, 0.004272f, 0.005016f, 0.005981f, 0.006924f, 0.007675f, - 0.008766f, 0.009727f, 0.010765f, 0.011986f, 0.013588f, 0.014915f, 0.016724f, 0.018478f, 0.020508f, 0.022873f, 0.025497f, 0.028336f, - 0.031525f, 0.034882f, 0.038818f, 0.043243f, 0.048615f, 0.054626f, 0.061707f, 0.069214f, 0.078430f, 0.089111f, 0.101013f, 0.115112f, - 0.130859f, 0.148926f, 0.170166f, 0.193604f, 0.220947f, 0.250732f, 0.283936f, 0.320068f, 0.358887f, 0.400391f, 0.442139f, 0.483887f, - 0.527344f, 0.569824f, 0.610352f, 0.649414f, 0.686523f, 0.722168f, 0.753906f, 0.782227f, 0.809570f, 0.833496f, 0.938477f, 0.942871f, - 0.944824f, 0.944336f, 0.943848f, 0.943848f, 0.000235f, 0.000984f, 0.001204f, 0.001706f, 0.002239f, 0.002998f, 0.003462f, 0.004093f, - 0.004372f, 0.005371f, 0.006149f, 0.006962f, 0.007736f, 0.008766f, 0.009804f, 0.010780f, 0.011887f, 0.013336f, 0.014618f, 0.016159f, - 0.018158f, 0.020050f, 0.022232f, 0.024597f, 0.027313f, 0.030334f, 0.033752f, 0.037872f, 0.042389f, 0.047516f, 0.053192f, 0.059937f, - 0.067749f, 0.076599f, 0.086975f, 0.098755f, 0.112610f, 0.128662f, 0.146973f, 0.168091f, 0.192383f, 0.220215f, 0.250732f, 0.284668f, - 0.322021f, 0.361572f, 0.403564f, 0.446777f, 0.490723f, 0.534668f, 0.577637f, 0.619629f, 0.660156f, 0.697754f, 0.731934f, 0.764648f, - 0.794922f, 0.820312f, 0.934082f, 0.939453f, 0.939941f, 0.941406f, 0.940430f, 0.940918f, 0.000237f, 0.000591f, 0.001098f, 0.001619f, - 0.002241f, 0.002636f, 0.003176f, 0.003521f, 0.004101f, 0.004631f, 0.005398f, 0.006378f, 0.007000f, 0.007767f, 0.008713f, 0.009758f, - 0.010475f, 0.011734f, 0.013016f, 0.014404f, 0.015762f, 0.017517f, 0.019440f, 0.021469f, 0.023651f, 0.026199f, 0.029495f, 0.033112f, - 0.036499f, 0.040955f, 0.045959f, 0.051849f, 0.058197f, 0.065552f, 0.074585f, 0.085022f, 0.096680f, 0.110535f, 0.126709f, 0.145264f, - 0.166626f, 0.191406f, 0.219482f, 0.250488f, 0.286133f, 0.323975f, 0.365723f, 0.408447f, 0.453125f, 0.498779f, 0.542969f, 0.588379f, - 0.631836f, 0.671387f, 0.709473f, 0.745117f, 0.777344f, 0.807617f, 0.930176f, 0.935059f, 0.936523f, 0.936523f, 0.936523f, 0.936035f, - 0.000242f, 0.000761f, 0.000943f, 0.001624f, 0.001858f, 0.002390f, 0.002638f, 0.003054f, 0.003805f, 0.004559f, 0.005035f, 0.005493f, - 0.006157f, 0.006878f, 0.007687f, 0.008530f, 0.009178f, 0.010406f, 0.011406f, 0.012520f, 0.014053f, 0.015579f, 0.017105f, 0.018661f, - 0.020737f, 0.022903f, 0.025650f, 0.028259f, 0.031433f, 0.035065f, 0.039581f, 0.044342f, 0.049988f, 0.056366f, 0.064026f, 0.072632f, - 0.082825f, 0.094666f, 0.108582f, 0.124634f, 0.143799f, 0.165405f, 0.190796f, 0.219360f, 0.251953f, 0.287842f, 0.328125f, 0.370605f, - 0.415283f, 0.461670f, 0.507812f, 0.555176f, 0.600586f, 0.645020f, 0.685547f, 0.724121f, 0.759277f, 0.792969f, 0.924805f, 0.931152f, - 0.931641f, 0.932129f, 0.932129f, 0.931641f, 0.000240f, 0.000685f, 0.000955f, 0.001395f, 0.001768f, 0.002157f, 0.002533f, 0.002970f, - 0.003223f, 0.003813f, 0.004601f, 0.004993f, 0.005428f, 0.005981f, 0.006878f, 0.007484f, 0.008110f, 0.009132f, 0.009964f, 0.011208f, - 0.012138f, 0.013374f, 0.015099f, 0.016190f, 0.018112f, 0.020187f, 0.022202f, 0.024780f, 0.027573f, 0.030411f, 0.034119f, 0.037964f, - 0.042755f, 0.048553f, 0.054474f, 0.061890f, 0.070984f, 0.080688f, 0.092590f, 0.106812f, 0.123291f, 0.142456f, 0.164551f, 0.190430f, - 0.220459f, 0.253418f, 0.291504f, 0.332520f, 0.376709f, 0.423340f, 0.471436f, 0.520508f, 0.567383f, 0.614746f, 0.660156f, 0.702148f, - 0.741211f, 0.776367f, 0.920410f, 0.925293f, 0.926270f, 0.926758f, 0.927246f, 0.926758f, 0.000244f, 0.000431f, 0.000799f, 0.001309f, - 0.001587f, 0.001945f, 0.002317f, 0.002514f, 0.003290f, 0.003548f, 0.004082f, 0.004349f, 0.004707f, 0.005348f, 0.006027f, 0.006565f, - 0.007141f, 0.008011f, 0.008850f, 0.009552f, 0.010757f, 0.011650f, 0.012794f, 0.014145f, 0.015778f, 0.017303f, 0.019028f, 0.021088f, - 0.023575f, 0.026169f, 0.029175f, 0.032562f, 0.036713f, 0.041382f, 0.046448f, 0.052948f, 0.060303f, 0.068787f, 0.079041f, 0.090942f, - 0.105103f, 0.121643f, 0.141113f, 0.164185f, 0.190308f, 0.221191f, 0.256836f, 0.295898f, 0.339355f, 0.385010f, 0.433838f, 0.484619f, - 0.534668f, 0.583496f, 0.631348f, 0.678223f, 0.719727f, 0.759766f, 0.913574f, 0.920410f, 0.921387f, 0.921875f, 0.921875f, 0.921387f, - 0.000243f, 0.000496f, 0.000847f, 0.001157f, 0.001426f, 0.001634f, 0.002020f, 0.002338f, 0.002607f, 0.003035f, 0.003502f, 0.003872f, - 0.004459f, 0.004726f, 0.005402f, 0.005779f, 0.006325f, 0.007095f, 0.007767f, 0.008568f, 0.009331f, 0.010086f, 0.011009f, 0.012314f, - 0.013611f, 0.015060f, 0.016312f, 0.018158f, 0.020401f, 0.022476f, 0.024979f, 0.027863f, 0.031036f, 0.034943f, 0.039581f, 0.044830f, - 0.050903f, 0.058289f, 0.066895f, 0.076782f, 0.088989f, 0.103210f, 0.120422f, 0.140259f, 0.164185f, 0.191772f, 0.223877f, 0.260742f, - 0.301758f, 0.347168f, 0.395508f, 0.446533f, 0.497803f, 0.551270f, 0.601562f, 0.651855f, 0.697754f, 0.741211f, 0.908203f, 0.915039f, - 0.916016f, 0.916016f, 0.916504f, 0.915527f, 0.000239f, 0.000345f, 0.000690f, 0.000913f, 0.001250f, 0.001343f, 0.001579f, 0.002050f, - 0.002331f, 0.002861f, 0.003048f, 0.003616f, 0.003696f, 0.004211f, 0.004723f, 0.005074f, 0.005657f, 0.006100f, 0.006893f, 0.007290f, - 0.008118f, 0.008659f, 0.009552f, 0.010704f, 0.011681f, 0.012764f, 0.014114f, 0.015533f, 0.017227f, 0.018982f, 0.021286f, 0.023560f, - 0.026489f, 0.029861f, 0.033417f, 0.037933f, 0.043121f, 0.049286f, 0.056519f, 0.065002f, 0.075073f, 0.087158f, 0.101624f, 0.118835f, - 0.139648f, 0.164185f, 0.193481f, 0.226929f, 0.265625f, 0.309570f, 0.356934f, 0.408203f, 0.461426f, 0.516113f, 0.569824f, 0.623047f, - 0.674316f, 0.720703f, 0.902344f, 0.908203f, 0.909668f, 0.910645f, 0.910645f, 0.911133f, 0.000000f, 0.000281f, 0.000560f, 0.000977f, - 0.001063f, 0.001171f, 0.001569f, 0.001903f, 0.002075f, 0.002413f, 0.002695f, 0.003004f, 0.003399f, 0.003553f, 0.003998f, 0.004333f, - 0.004971f, 0.005314f, 0.005806f, 0.006340f, 0.007015f, 0.007492f, 0.008377f, 0.009186f, 0.010094f, 0.010910f, 0.012199f, 0.013351f, - 0.014618f, 0.016266f, 0.018082f, 0.019852f, 0.022491f, 0.025085f, 0.028168f, 0.031799f, 0.036041f, 0.041107f, 0.047394f, 0.054321f, - 0.062866f, 0.073181f, 0.085327f, 0.100525f, 0.118408f, 0.139648f, 0.165527f, 0.196411f, 0.231812f, 0.273193f, 0.318848f, 0.369629f, - 0.423828f, 0.480225f, 0.536621f, 0.592773f, 0.647949f, 0.699707f, 0.894043f, 0.900879f, 0.903809f, 0.903320f, 0.903320f, 0.902832f, - 0.000232f, 0.000227f, 0.000555f, 0.000656f, 0.000937f, 0.000985f, 0.001351f, 0.001723f, 0.001925f, 0.002010f, 0.002445f, 0.002625f, - 0.002760f, 0.003220f, 0.003551f, 0.003870f, 0.004303f, 0.004826f, 0.005028f, 0.005451f, 0.005985f, 0.006523f, 0.007000f, 0.007744f, - 0.008499f, 0.009361f, 0.010109f, 0.011185f, 0.012413f, 0.013603f, 0.015121f, 0.016891f, 0.018753f, 0.020920f, 0.023407f, 0.026764f, - 0.030197f, 0.034302f, 0.039429f, 0.044891f, 0.052368f, 0.060822f, 0.071167f, 0.083557f, 0.098877f, 0.117493f, 0.139893f, 0.167725f, - 0.200195f, 0.238037f, 0.281982f, 0.331543f, 0.385010f, 0.442627f, 0.501465f, 0.561523f, 0.620605f, 0.675781f, 0.887207f, 0.894531f, - 0.895020f, 0.896484f, 0.896484f, 0.895996f, 0.000000f, 0.000332f, 0.000577f, 0.000723f, 0.000720f, 0.001210f, 0.001469f, 0.001456f, - 0.001546f, 0.001775f, 0.002159f, 0.002291f, 0.002659f, 0.002916f, 0.003046f, 0.003439f, 0.003752f, 0.003883f, 0.004375f, 0.004635f, - 0.005241f, 0.005638f, 0.006054f, 0.006630f, 0.007191f, 0.007744f, 0.008545f, 0.009178f, 0.010498f, 0.011536f, 0.012802f, 0.013931f, - 0.015808f, 0.017548f, 0.019379f, 0.022110f, 0.025040f, 0.028473f, 0.032471f, 0.037323f, 0.043152f, 0.050476f, 0.058807f, 0.069214f, - 0.082520f, 0.098145f, 0.116821f, 0.141602f, 0.170044f, 0.204834f, 0.245728f, 0.293213f, 0.346436f, 0.403564f, 0.464111f, 0.527832f, - 0.589844f, 0.650879f, 0.878418f, 0.886719f, 0.888184f, 0.887695f, 0.888672f, 0.888672f, 0.000243f, 0.000307f, 0.000526f, 0.000561f, - 0.000923f, 0.000980f, 0.001143f, 0.001386f, 0.001414f, 0.001683f, 0.001735f, 0.001972f, 0.002232f, 0.002481f, 0.002657f, 0.002754f, - 0.003193f, 0.003359f, 0.003603f, 0.003956f, 0.004368f, 0.004692f, 0.005119f, 0.005596f, 0.005955f, 0.006634f, 0.007256f, 0.007881f, - 0.008652f, 0.009552f, 0.010376f, 0.011719f, 0.012634f, 0.014595f, 0.016113f, 0.018219f, 0.020554f, 0.023254f, 0.026520f, 0.030502f, - 0.035553f, 0.041168f, 0.048065f, 0.057190f, 0.067261f, 0.080811f, 0.097107f, 0.117737f, 0.143066f, 0.173950f, 0.211182f, 0.256592f, - 0.307129f, 0.364502f, 0.427002f, 0.491943f, 0.557617f, 0.624023f, 0.869629f, 0.877930f, 0.879883f, 0.879883f, 0.879883f, 0.880371f, - 0.000000f, 0.000270f, 0.000342f, 0.000509f, 0.000668f, 0.000989f, 0.000945f, 0.001105f, 0.001230f, 0.001335f, 0.001492f, 0.001757f, - 0.001917f, 0.002140f, 0.002386f, 0.002501f, 0.002644f, 0.002884f, 0.003199f, 0.003441f, 0.003620f, 0.003891f, 0.004337f, 0.004631f, - 0.005119f, 0.005520f, 0.006100f, 0.006504f, 0.007301f, 0.007771f, 0.008751f, 0.009521f, 0.010658f, 0.011765f, 0.013145f, 0.014641f, - 0.016785f, 0.018829f, 0.021545f, 0.024719f, 0.028381f, 0.033203f, 0.038849f, 0.046112f, 0.055084f, 0.065552f, 0.079529f, 0.096985f, - 0.118530f, 0.145630f, 0.179321f, 0.220337f, 0.269287f, 0.325439f, 0.387207f, 0.454102f, 0.524414f, 0.595215f, 0.859863f, 0.868652f, - 0.870605f, 0.869629f, 0.870117f, 0.870605f, 0.000000f, 0.000230f, 0.000334f, 0.000416f, 0.000700f, 0.000726f, 0.000921f, 0.001008f, - 0.001065f, 0.001186f, 0.001365f, 0.001471f, 0.001627f, 0.001796f, 0.001843f, 0.002069f, 0.002266f, 0.002438f, 0.002596f, 0.002831f, - 0.003000f, 0.003298f, 0.003597f, 0.003887f, 0.004265f, 0.004581f, 0.004986f, 0.005505f, 0.005947f, 0.006454f, 0.007069f, 0.007801f, - 0.008621f, 0.009575f, 0.010612f, 0.011848f, 0.013321f, 0.015259f, 0.017410f, 0.019775f, 0.022934f, 0.026550f, 0.031464f, 0.036713f, - 0.043945f, 0.052887f, 0.064209f, 0.078735f, 0.096924f, 0.120361f, 0.149536f, 0.186768f, 0.232422f, 0.285889f, 0.347656f, 0.415527f, - 0.488281f, 0.563965f, 0.849121f, 0.857910f, 0.859375f, 0.860840f, 0.860840f, 0.860352f, 0.000233f, 0.000225f, 0.000219f, 0.000431f, - 0.000579f, 0.000648f, 0.000671f, 0.000744f, 0.000946f, 0.000994f, 0.001091f, 0.001307f, 0.001364f, 0.001490f, 0.001561f, 0.001712f, - 0.001892f, 0.001999f, 0.002190f, 0.002369f, 0.002512f, 0.002733f, 0.003014f, 0.003145f, 0.003553f, 0.003822f, 0.004135f, 0.004326f, - 0.004799f, 0.005344f, 0.005718f, 0.006378f, 0.007008f, 0.007721f, 0.008400f, 0.009537f, 0.010597f, 0.011917f, 0.013542f, 0.015579f, - 0.018051f, 0.020889f, 0.024765f, 0.029236f, 0.034668f, 0.041779f, 0.051056f, 0.062439f, 0.077576f, 0.097595f, 0.122864f, 0.155273f, - 0.196655f, 0.247437f, 0.307617f, 0.375977f, 0.450684f, 0.531250f, 0.837891f, 0.847168f, 0.848633f, 0.849609f, 0.849121f, 0.849609f, - 0.000202f, 0.000180f, 0.000206f, 0.000339f, 0.000479f, 0.000536f, 0.000687f, 0.000739f, 0.000771f, 0.000849f, 0.001051f, 0.001060f, - 0.001154f, 0.001219f, 0.001389f, 0.001505f, 0.001469f, 0.001729f, 0.001858f, 0.001980f, 0.002209f, 0.002243f, 0.002483f, 0.002695f, - 0.002951f, 0.003149f, 0.003374f, 0.003654f, 0.004002f, 0.004154f, 0.004539f, 0.005032f, 0.005428f, 0.005989f, 0.006760f, 0.007549f, - 0.008423f, 0.009499f, 0.010620f, 0.012016f, 0.013992f, 0.016434f, 0.019135f, 0.022583f, 0.026840f, 0.032501f, 0.039551f, 0.048828f, - 0.061066f, 0.077393f, 0.098755f, 0.127075f, 0.163208f, 0.209717f, 0.267578f, 0.334961f, 0.411133f, 0.494629f, 0.825684f, 0.834473f, - 0.836426f, 0.837402f, 0.837402f, 0.837402f, 0.000000f, 0.000185f, 0.000184f, 0.000404f, 0.000408f, 0.000454f, 0.000480f, 0.000506f, - 0.000660f, 0.000694f, 0.000742f, 0.000801f, 0.000989f, 0.001111f, 0.001167f, 0.001250f, 0.001311f, 0.001424f, 0.001541f, 0.001574f, - 0.001712f, 0.001930f, 0.001982f, 0.002201f, 0.002375f, 0.002439f, 0.002792f, 0.002905f, 0.003065f, 0.003412f, 0.003653f, 0.003952f, - 0.004463f, 0.004723f, 0.005230f, 0.005936f, 0.006386f, 0.007092f, 0.008240f, 0.009247f, 0.010765f, 0.012344f, 0.014420f, 0.017090f, - 0.020493f, 0.024551f, 0.030014f, 0.037689f, 0.047302f, 0.060028f, 0.077820f, 0.100830f, 0.132812f, 0.174561f, 0.228516f, 0.294434f, - 0.371582f, 0.457031f, 0.812012f, 0.820801f, 0.823730f, 0.824219f, 0.824707f, 0.824219f, 0.000000f, 0.000053f, 0.000206f, 0.000360f, - 0.000379f, 0.000391f, 0.000379f, 0.000478f, 0.000549f, 0.000589f, 0.000626f, 0.000674f, 0.000762f, 0.000832f, 0.000894f, 0.001050f, - 0.001111f, 0.001155f, 0.001286f, 0.001345f, 0.001449f, 0.001564f, 0.001666f, 0.001750f, 0.001856f, 0.001925f, 0.002056f, 0.002359f, - 0.002542f, 0.002728f, 0.003042f, 0.003164f, 0.003460f, 0.003786f, 0.004116f, 0.004578f, 0.005116f, 0.005688f, 0.006508f, 0.007229f, - 0.008125f, 0.009232f, 0.010796f, 0.012741f, 0.015137f, 0.018158f, 0.022186f, 0.028030f, 0.035248f, 0.045593f, 0.059052f, 0.078308f, - 0.105042f, 0.141602f, 0.190308f, 0.252930f, 0.329102f, 0.417969f, 0.797852f, 0.807129f, 0.810059f, 0.810547f, 0.811035f, 0.810547f, - 0.000000f, 0.000000f, 0.000082f, 0.000195f, 0.000309f, 0.000336f, 0.000324f, 0.000414f, 0.000439f, 0.000460f, 0.000599f, 0.000643f, - 0.000637f, 0.000690f, 0.000733f, 0.000834f, 0.000821f, 0.000922f, 0.000989f, 0.001067f, 0.001207f, 0.001293f, 0.001327f, 0.001476f, - 0.001581f, 0.001663f, 0.001725f, 0.001906f, 0.001934f, 0.002180f, 0.002258f, 0.002602f, 0.002701f, 0.003019f, 0.003229f, 0.003502f, - 0.003847f, 0.004261f, 0.004795f, 0.005318f, 0.006130f, 0.007008f, 0.008118f, 0.009277f, 0.011024f, 0.013229f, 0.016205f, 0.020203f, - 0.025620f, 0.033020f, 0.043854f, 0.059021f, 0.080383f, 0.111206f, 0.154419f, 0.212646f, 0.287354f, 0.378418f, 0.781250f, 0.792480f, - 0.793457f, 0.795410f, 0.795898f, 0.794922f, 0.000000f, 0.000121f, 0.000120f, 0.000198f, 0.000275f, 0.000249f, 0.000290f, 0.000360f, - 0.000375f, 0.000379f, 0.000391f, 0.000438f, 0.000505f, 0.000534f, 0.000669f, 0.000629f, 0.000659f, 0.000754f, 0.000890f, 0.000833f, - 0.000849f, 0.000975f, 0.001029f, 0.001117f, 0.001193f, 0.001203f, 0.001269f, 0.001424f, 0.001594f, 0.001675f, 0.001737f, 0.001957f, - 0.002094f, 0.002319f, 0.002342f, 0.002609f, 0.002928f, 0.003248f, 0.003523f, 0.003967f, 0.004547f, 0.005138f, 0.005871f, 0.006760f, - 0.007912f, 0.009430f, 0.011528f, 0.014236f, 0.017899f, 0.023346f, 0.031235f, 0.042694f, 0.059235f, 0.084229f, 0.120972f, 0.173950f, - 0.245239f, 0.334473f, 0.764160f, 0.775391f, 0.777344f, 0.778809f, 0.777832f, 0.778809f, 0.000000f, 0.000121f, 0.000119f, 0.000182f, - 0.000177f, 0.000179f, 0.000262f, 0.000239f, 0.000309f, 0.000322f, 0.000404f, 0.000370f, 0.000361f, 0.000430f, 0.000458f, 0.000540f, - 0.000589f, 0.000615f, 0.000648f, 0.000632f, 0.000777f, 0.000782f, 0.000798f, 0.000871f, 0.000857f, 0.000925f, 0.001000f, 0.001045f, - 0.001191f, 0.001223f, 0.001426f, 0.001419f, 0.001512f, 0.001635f, 0.001884f, 0.002092f, 0.002100f, 0.002293f, 0.002577f, 0.003012f, - 0.003258f, 0.003761f, 0.004253f, 0.004814f, 0.005619f, 0.006676f, 0.008064f, 0.009750f, 0.012268f, 0.015854f, 0.021255f, 0.029282f, - 0.041687f, 0.061005f, 0.091370f, 0.136230f, 0.202759f, 0.291504f, 0.746582f, 0.757324f, 0.759277f, 0.760254f, 0.760254f, 0.760254f, - 0.000000f, 0.000000f, 0.000117f, 0.000126f, 0.000113f, 0.000146f, 0.000158f, 0.000155f, 0.000189f, 0.000288f, 0.000254f, 0.000336f, - 0.000347f, 0.000353f, 0.000370f, 0.000355f, 0.000390f, 0.000417f, 0.000456f, 0.000480f, 0.000525f, 0.000587f, 0.000596f, 0.000620f, - 0.000676f, 0.000740f, 0.000758f, 0.000852f, 0.000907f, 0.000947f, 0.001057f, 0.001122f, 0.001170f, 0.001293f, 0.001316f, 0.001437f, - 0.001531f, 0.001813f, 0.001952f, 0.002090f, 0.002346f, 0.002560f, 0.002974f, 0.003334f, 0.003899f, 0.004547f, 0.005360f, 0.006516f, - 0.008179f, 0.010468f, 0.013947f, 0.019241f, 0.027832f, 0.041443f, 0.064941f, 0.102600f, 0.162231f, 0.247437f, 0.726074f, 0.737793f, - 0.739258f, 0.740723f, 0.741211f, 0.741211f, 0.000000f, 0.000118f, 0.000115f, 0.000113f, 0.000110f, 0.000126f, 0.000121f, 0.000139f, - 0.000147f, 0.000160f, 0.000161f, 0.000233f, 0.000199f, 0.000266f, 0.000286f, 0.000297f, 0.000329f, 0.000313f, 0.000347f, 0.000358f, - 0.000364f, 0.000394f, 0.000435f, 0.000446f, 0.000489f, 0.000506f, 0.000546f, 0.000625f, 0.000648f, 0.000674f, 0.000723f, 0.000782f, - 0.000865f, 0.000918f, 0.000979f, 0.001104f, 0.001100f, 0.001196f, 0.001352f, 0.001488f, 0.001586f, 0.001749f, 0.001955f, 0.002275f, - 0.002644f, 0.003054f, 0.003563f, 0.004322f, 0.005314f, 0.006786f, 0.008980f, 0.012115f, 0.017319f, 0.026520f, 0.043121f, 0.072693f, - 0.123535f, 0.203613f, 0.705566f, 0.716797f, 0.719238f, 0.719727f, 0.720703f, 0.721191f, 0.000000f, 0.000000f, 0.000112f, 0.000109f, - 0.000106f, 0.000104f, 0.000102f, 0.000096f, 0.000091f, 0.000113f, 0.000147f, 0.000129f, 0.000155f, 0.000134f, 0.000196f, 0.000205f, - 0.000181f, 0.000239f, 0.000297f, 0.000255f, 0.000317f, 0.000273f, 0.000335f, 0.000299f, 0.000379f, 0.000385f, 0.000398f, 0.000402f, - 0.000473f, 0.000552f, 0.000489f, 0.000543f, 0.000557f, 0.000606f, 0.000662f, 0.000698f, 0.000747f, 0.000810f, 0.000902f, 0.000961f, - 0.001063f, 0.001166f, 0.001312f, 0.001523f, 0.001662f, 0.001908f, 0.002298f, 0.002758f, 0.003365f, 0.004135f, 0.005394f, 0.007290f, - 0.010490f, 0.015991f, 0.026215f, 0.047180f, 0.087646f, 0.160645f, 0.682617f, 0.695801f, 0.697266f, 0.697266f, 0.697266f, 0.698730f, - 0.000000f, 0.000112f, 0.000106f, 0.000104f, 0.000100f, 0.000098f, 0.000095f, 0.000094f, 0.000090f, 0.000085f, 0.000080f, 0.000081f, - 0.000085f, 0.000123f, 0.000123f, 0.000138f, 0.000151f, 0.000158f, 0.000147f, 0.000171f, 0.000183f, 0.000192f, 0.000242f, 0.000215f, - 0.000253f, 0.000256f, 0.000269f, 0.000278f, 0.000293f, 0.000315f, 0.000377f, 0.000357f, 0.000357f, 0.000423f, 0.000479f, 0.000493f, - 0.000489f, 0.000535f, 0.000579f, 0.000628f, 0.000683f, 0.000731f, 0.000833f, 0.000935f, 0.001068f, 0.001200f, 0.001347f, 0.001581f, - 0.001995f, 0.002419f, 0.003109f, 0.004147f, 0.005829f, 0.008919f, 0.014641f, 0.027405f, 0.056885f, 0.119385f, 0.658691f, 0.669922f, - 0.673828f, 0.673828f, 0.675293f, 0.675293f, 0.000000f, 0.000105f, 0.000101f, 0.000096f, 0.000092f, 0.000089f, 0.000087f, 0.000085f, - 0.000083f, 0.000081f, 0.000077f, 0.000073f, 0.000070f, 0.000066f, 0.000080f, 0.000084f, 0.000089f, 0.000068f, 0.000101f, 0.000094f, - 0.000116f, 0.000118f, 0.000125f, 0.000129f, 0.000150f, 0.000168f, 0.000153f, 0.000192f, 0.000195f, 0.000185f, 0.000200f, 0.000217f, - 0.000226f, 0.000247f, 0.000257f, 0.000262f, 0.000319f, 0.000334f, 0.000347f, 0.000376f, 0.000395f, 0.000447f, 0.000504f, 0.000544f, - 0.000590f, 0.000670f, 0.000789f, 0.000887f, 0.001069f, 0.001345f, 0.001670f, 0.002167f, 0.003065f, 0.004562f, 0.007660f, 0.014290f, - 0.032135f, 0.081299f, 0.632812f, 0.645996f, 0.648926f, 0.649414f, 0.648926f, 0.649902f, 0.000109f, 0.000094f, 0.000087f, 0.000082f, - 0.000078f, 0.000076f, 0.000074f, 0.000071f, 0.000069f, 0.000068f, 0.000067f, 0.000066f, 0.000064f, 0.000061f, 0.000058f, 0.000055f, - 0.000053f, 0.000050f, 0.000051f, 0.000046f, 0.000059f, 0.000056f, 0.000057f, 0.000068f, 0.000078f, 0.000088f, 0.000096f, 0.000096f, - 0.000105f, 0.000107f, 0.000128f, 0.000121f, 0.000133f, 0.000141f, 0.000156f, 0.000151f, 0.000160f, 0.000200f, 0.000209f, 0.000198f, - 0.000222f, 0.000242f, 0.000258f, 0.000275f, 0.000314f, 0.000352f, 0.000410f, 0.000468f, 0.000537f, 0.000639f, 0.000799f, 0.001002f, - 0.001390f, 0.002092f, 0.003466f, 0.006653f, 0.015305f, 0.048004f, 0.606934f, 0.618652f, 0.622559f, 0.623047f, 0.623535f, 0.624023f, - 0.000084f, 0.000067f, 0.000064f, 0.000062f, 0.000057f, 0.000056f, 0.000053f, 0.000054f, 0.000051f, 0.000052f, 0.000050f, 0.000050f, - 0.000050f, 0.000049f, 0.000048f, 0.000047f, 0.000046f, 0.000044f, 0.000042f, 0.000040f, 0.000039f, 0.000037f, 0.000035f, 0.000036f, - 0.000037f, 0.000031f, 0.000040f, 0.000041f, 0.000042f, 0.000051f, 0.000058f, 0.000063f, 0.000067f, 0.000069f, 0.000072f, 0.000079f, - 0.000085f, 0.000092f, 0.000093f, 0.000101f, 0.000107f, 0.000123f, 0.000125f, 0.000139f, 0.000147f, 0.000154f, 0.000181f, 0.000204f, - 0.000229f, 0.000270f, 0.000327f, 0.000425f, 0.000559f, 0.000772f, 0.001265f, 0.002462f, 0.006191f, 0.022415f, 0.578613f, 0.592285f, - 0.595215f, 0.596191f, 0.596191f, 0.597656f, 0.000008f, 0.000022f, 0.000022f, 0.000024f, 0.000024f, 0.000027f, 0.000028f, 0.000028f, - 0.000028f, 0.000026f, 0.000028f, 0.000029f, 0.000029f, 0.000028f, 0.000029f, 0.000029f, 0.000029f, 0.000029f, 0.000030f, 0.000030f, - 0.000030f, 0.000029f, 0.000028f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, - 0.000021f, 0.000020f, 0.000022f, 0.000026f, 0.000028f, 0.000033f, 0.000037f, 0.000036f, 0.000039f, 0.000045f, 0.000051f, 0.000046f, - 0.000056f, 0.000059f, 0.000061f, 0.000071f, 0.000084f, 0.000098f, 0.000110f, 0.000133f, 0.000169f, 0.000223f, 0.000356f, 0.000648f, - 0.001702f, 0.007713f, 0.550293f, 0.564453f, 0.566895f, 0.567871f, 0.568359f, 0.568848f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000003f, 0.000004f, 0.000006f, - 0.000007f, 0.000007f, 0.000008f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000013f, 0.000013f, - 0.000013f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, - 0.000008f, 0.000008f, 0.000009f, 0.000011f, 0.000014f, 0.000017f, 0.000015f, 0.000018f, 0.000021f, 0.000022f, 0.000023f, 0.000026f, - 0.000035f, 0.000040f, 0.000056f, 0.000089f, 0.000225f, 0.001332f, 0.520996f, 0.535156f, 0.538086f, 0.540039f, 0.540039f, 0.540039f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000003f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000017f, 0.491211f, 0.506348f, - 0.508789f, 0.510254f, 0.510254f, 0.510742f, - }, - { - 0.064758f, 0.179688f, 0.277344f, 0.358398f, 0.427002f, 0.485107f, 0.535156f, 0.578613f, 0.615234f, 0.647949f, 0.677734f, 0.703125f, - 0.725586f, 0.745605f, 0.763672f, 0.780273f, 0.795410f, 0.810059f, 0.821777f, 0.833496f, 0.843750f, 0.854004f, 0.862793f, 0.871582f, - 0.879883f, 0.886719f, 0.894043f, 0.900879f, 0.906250f, 0.912109f, 0.917969f, 0.922852f, 0.927246f, 0.932129f, 0.936523f, 0.940918f, - 0.944824f, 0.948242f, 0.951660f, 0.955078f, 0.958496f, 0.961426f, 0.964844f, 0.967773f, 0.970215f, 0.973145f, 0.975586f, 0.977539f, - 0.979980f, 0.982422f, 0.984863f, 0.986328f, 0.988770f, 0.990234f, 0.992676f, 0.993652f, 0.995605f, 0.997559f, 0.998535f, 0.996582f, - 0.995117f, 0.993652f, 0.992188f, 0.990723f, 0.040344f, 0.121460f, 0.199341f, 0.272949f, 0.339600f, 0.401123f, 0.455078f, 0.501953f, - 0.546875f, 0.583984f, 0.618164f, 0.648926f, 0.676270f, 0.700195f, 0.723145f, 0.743164f, 0.761230f, 0.776855f, 0.793457f, 0.806641f, - 0.819336f, 0.831543f, 0.842285f, 0.852051f, 0.861328f, 0.869629f, 0.877930f, 0.886230f, 0.892578f, 0.899902f, 0.905273f, 0.911621f, - 0.917480f, 0.922852f, 0.927246f, 0.932129f, 0.936035f, 0.940430f, 0.945312f, 0.949219f, 0.952148f, 0.956055f, 0.958984f, 0.961914f, - 0.965332f, 0.967773f, 0.970703f, 0.973633f, 0.976074f, 0.978516f, 0.980957f, 0.983398f, 0.985840f, 0.987305f, 0.989258f, 0.991699f, - 0.993652f, 0.995117f, 0.997070f, 0.995605f, 0.994141f, 0.993164f, 0.991699f, 0.990234f, 0.027191f, 0.084961f, 0.145630f, 0.206177f, - 0.266113f, 0.323242f, 0.377930f, 0.428711f, 0.474609f, 0.517090f, 0.554688f, 0.591309f, 0.621582f, 0.650391f, 0.676758f, 0.700684f, - 0.723145f, 0.741699f, 0.760254f, 0.776855f, 0.791504f, 0.805664f, 0.818359f, 0.830566f, 0.841309f, 0.851074f, 0.861816f, 0.870117f, - 0.878418f, 0.885254f, 0.892090f, 0.899414f, 0.906250f, 0.912598f, 0.916992f, 0.922363f, 0.928223f, 0.932617f, 0.937500f, 0.941895f, - 0.945801f, 0.949219f, 0.953613f, 0.957031f, 0.960449f, 0.963379f, 0.966797f, 0.969727f, 0.971680f, 0.974609f, 0.977539f, 0.979980f, - 0.981934f, 0.984375f, 0.986328f, 0.989258f, 0.991211f, 0.992676f, 0.996094f, 0.994629f, 0.993652f, 0.992188f, 0.990723f, 0.989746f, - 0.019577f, 0.061340f, 0.108337f, 0.156860f, 0.207153f, 0.258789f, 0.310059f, 0.358887f, 0.405762f, 0.450928f, 0.491211f, 0.530273f, - 0.565430f, 0.597656f, 0.627441f, 0.654297f, 0.680176f, 0.702637f, 0.724121f, 0.743164f, 0.760742f, 0.776855f, 0.791992f, 0.806152f, - 0.817871f, 0.830078f, 0.841797f, 0.852539f, 0.861816f, 0.870117f, 0.878906f, 0.886230f, 0.893066f, 0.900391f, 0.906738f, 0.912598f, - 0.918457f, 0.923340f, 0.928223f, 0.933594f, 0.938477f, 0.942871f, 0.946777f, 0.950684f, 0.954590f, 0.958496f, 0.960938f, 0.964844f, - 0.967773f, 0.970703f, 0.973633f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.985840f, 0.987793f, 0.990234f, 0.995117f, 0.993652f, - 0.992676f, 0.991699f, 0.990234f, 0.989258f, 0.014397f, 0.046295f, 0.081543f, 0.120728f, 0.162842f, 0.206177f, 0.250977f, 0.296143f, - 0.342041f, 0.385986f, 0.427979f, 0.468262f, 0.506348f, 0.542480f, 0.575195f, 0.605469f, 0.633789f, 0.660156f, 0.684570f, 0.706543f, - 0.727539f, 0.745117f, 0.763184f, 0.778809f, 0.793945f, 0.807617f, 0.820312f, 0.833008f, 0.842773f, 0.852539f, 0.862305f, 0.872070f, - 0.879395f, 0.887207f, 0.894531f, 0.900879f, 0.907227f, 0.914551f, 0.919922f, 0.925293f, 0.930176f, 0.935547f, 0.938965f, 0.943359f, - 0.948730f, 0.952637f, 0.956055f, 0.959473f, 0.962891f, 0.966309f, 0.969238f, 0.972656f, 0.975098f, 0.977539f, 0.980957f, 0.982910f, - 0.984863f, 0.987793f, 0.994141f, 0.993164f, 0.991699f, 0.990723f, 0.989746f, 0.988281f, 0.010925f, 0.035828f, 0.063660f, 0.094360f, - 0.128174f, 0.164551f, 0.203247f, 0.244385f, 0.285645f, 0.326416f, 0.367432f, 0.409424f, 0.447998f, 0.484131f, 0.520508f, 0.553711f, - 0.584473f, 0.614258f, 0.641113f, 0.666016f, 0.689453f, 0.710938f, 0.730469f, 0.750488f, 0.766602f, 0.781250f, 0.796387f, 0.809570f, - 0.822266f, 0.833496f, 0.844727f, 0.854980f, 0.864258f, 0.873047f, 0.881348f, 0.889648f, 0.895996f, 0.903809f, 0.910156f, 0.916504f, - 0.921387f, 0.926758f, 0.932129f, 0.937500f, 0.941895f, 0.946777f, 0.950684f, 0.954102f, 0.958008f, 0.960938f, 0.965332f, 0.968262f, - 0.971680f, 0.975098f, 0.977539f, 0.979492f, 0.982422f, 0.984863f, 0.992676f, 0.991699f, 0.990723f, 0.989746f, 0.988770f, 0.987793f, - 0.008698f, 0.028244f, 0.049866f, 0.074463f, 0.102295f, 0.132935f, 0.165161f, 0.200073f, 0.236206f, 0.275391f, 0.313477f, 0.352051f, - 0.391113f, 0.428955f, 0.465088f, 0.500977f, 0.534180f, 0.565430f, 0.593750f, 0.622559f, 0.648438f, 0.671875f, 0.694824f, 0.715820f, - 0.734863f, 0.753906f, 0.771484f, 0.784668f, 0.799805f, 0.813477f, 0.825195f, 0.836914f, 0.847656f, 0.857910f, 0.866699f, 0.875488f, - 0.884766f, 0.892090f, 0.898438f, 0.906250f, 0.913086f, 0.918457f, 0.923828f, 0.929688f, 0.935059f, 0.939941f, 0.944336f, 0.948730f, - 0.952637f, 0.956055f, 0.959961f, 0.963379f, 0.967285f, 0.970703f, 0.973633f, 0.976074f, 0.979492f, 0.982422f, 0.991211f, 0.990723f, - 0.990234f, 0.988770f, 0.987793f, 0.986328f, 0.007210f, 0.022797f, 0.040039f, 0.060181f, 0.082153f, 0.107300f, 0.134155f, 0.164673f, - 0.196167f, 0.229492f, 0.265381f, 0.301025f, 0.338379f, 0.374756f, 0.411133f, 0.446533f, 0.481201f, 0.515625f, 0.546387f, 0.576660f, - 0.605957f, 0.631348f, 0.656738f, 0.681152f, 0.702148f, 0.722168f, 0.741699f, 0.758789f, 0.775391f, 0.791016f, 0.803711f, 0.817383f, - 0.829102f, 0.840820f, 0.851562f, 0.860840f, 0.871094f, 0.879395f, 0.887695f, 0.895020f, 0.901855f, 0.909180f, 0.915527f, 0.921387f, - 0.927734f, 0.932129f, 0.937500f, 0.941895f, 0.947266f, 0.950684f, 0.955078f, 0.958984f, 0.962891f, 0.966797f, 0.969727f, 0.973145f, - 0.976562f, 0.979004f, 0.990234f, 0.989746f, 0.988770f, 0.987793f, 0.986816f, 0.985840f, 0.005863f, 0.018936f, 0.032898f, 0.049377f, - 0.067261f, 0.088257f, 0.110535f, 0.135254f, 0.162231f, 0.191895f, 0.223389f, 0.255371f, 0.290039f, 0.324707f, 0.359863f, 0.395996f, - 0.429932f, 0.464355f, 0.497314f, 0.529297f, 0.559570f, 0.587891f, 0.616699f, 0.642090f, 0.665527f, 0.688965f, 0.709961f, 0.729492f, - 0.747559f, 0.765625f, 0.780762f, 0.794922f, 0.809082f, 0.822754f, 0.833984f, 0.844727f, 0.855957f, 0.864746f, 0.875000f, 0.883789f, - 0.891113f, 0.898926f, 0.906250f, 0.912598f, 0.918457f, 0.925293f, 0.930664f, 0.935059f, 0.940918f, 0.945312f, 0.950195f, 0.954590f, - 0.958496f, 0.962402f, 0.965820f, 0.969238f, 0.972656f, 0.976074f, 0.988770f, 0.988770f, 0.987793f, 0.986816f, 0.985840f, 0.984863f, - 0.004925f, 0.015518f, 0.027451f, 0.041199f, 0.055786f, 0.072998f, 0.091492f, 0.112427f, 0.135254f, 0.160767f, 0.187500f, 0.216919f, - 0.247314f, 0.280273f, 0.313477f, 0.346680f, 0.381592f, 0.415283f, 0.448730f, 0.481201f, 0.513184f, 0.543945f, 0.573242f, 0.601562f, - 0.627441f, 0.652344f, 0.675293f, 0.697754f, 0.718262f, 0.737793f, 0.754883f, 0.771973f, 0.787109f, 0.800781f, 0.815430f, 0.828125f, - 0.839844f, 0.851074f, 0.860840f, 0.870117f, 0.879883f, 0.887695f, 0.896484f, 0.902832f, 0.911133f, 0.916992f, 0.922852f, 0.928711f, - 0.934082f, 0.939941f, 0.944336f, 0.948730f, 0.954102f, 0.958008f, 0.961426f, 0.965332f, 0.969238f, 0.972168f, 0.987305f, 0.987305f, - 0.986816f, 0.985840f, 0.984863f, 0.983887f, 0.004139f, 0.012955f, 0.022781f, 0.034088f, 0.046997f, 0.061005f, 0.076538f, 0.094360f, - 0.113464f, 0.134888f, 0.158203f, 0.183716f, 0.210693f, 0.239990f, 0.270264f, 0.302734f, 0.334961f, 0.367676f, 0.400635f, 0.434082f, - 0.467041f, 0.497803f, 0.528809f, 0.558105f, 0.586426f, 0.614258f, 0.638672f, 0.663574f, 0.686035f, 0.707520f, 0.728027f, 0.745605f, - 0.762695f, 0.779297f, 0.794434f, 0.808594f, 0.821777f, 0.834473f, 0.845215f, 0.855957f, 0.866699f, 0.876465f, 0.884766f, 0.892090f, - 0.900391f, 0.908203f, 0.915039f, 0.920898f, 0.927246f, 0.932617f, 0.937988f, 0.943848f, 0.948730f, 0.952637f, 0.957520f, 0.961426f, - 0.965820f, 0.968750f, 0.985840f, 0.985840f, 0.985840f, 0.984375f, 0.983887f, 0.982910f, 0.003492f, 0.011307f, 0.019608f, 0.028793f, - 0.039246f, 0.051544f, 0.064392f, 0.078796f, 0.095337f, 0.113953f, 0.134033f, 0.155396f, 0.179688f, 0.205200f, 0.232300f, 0.261475f, - 0.291748f, 0.323730f, 0.355225f, 0.387939f, 0.420410f, 0.452637f, 0.483887f, 0.514648f, 0.544922f, 0.573730f, 0.601074f, 0.626953f, - 0.651367f, 0.675293f, 0.697266f, 0.717285f, 0.736816f, 0.755371f, 0.771973f, 0.786621f, 0.803223f, 0.815430f, 0.828613f, 0.840820f, - 0.851562f, 0.863281f, 0.873047f, 0.880859f, 0.890625f, 0.898438f, 0.905762f, 0.913086f, 0.919434f, 0.925781f, 0.931641f, 0.937500f, - 0.942871f, 0.947754f, 0.952637f, 0.957520f, 0.960938f, 0.965820f, 0.984375f, 0.984863f, 0.984375f, 0.983398f, 0.982422f, 0.981445f, - 0.002977f, 0.009415f, 0.016708f, 0.024811f, 0.033356f, 0.043457f, 0.054535f, 0.067017f, 0.080322f, 0.096130f, 0.113708f, 0.132080f, - 0.152710f, 0.175415f, 0.199829f, 0.226440f, 0.253662f, 0.282959f, 0.313232f, 0.343750f, 0.375000f, 0.406982f, 0.439453f, 0.471191f, - 0.501465f, 0.531738f, 0.560547f, 0.587891f, 0.615234f, 0.640625f, 0.664062f, 0.687500f, 0.708496f, 0.728516f, 0.747559f, 0.765137f, - 0.781738f, 0.795898f, 0.811523f, 0.824707f, 0.836426f, 0.847656f, 0.858887f, 0.869141f, 0.878906f, 0.887695f, 0.895996f, 0.904297f, - 0.911133f, 0.917969f, 0.925293f, 0.931152f, 0.937012f, 0.942383f, 0.947266f, 0.953125f, 0.957031f, 0.961426f, 0.982910f, 0.983398f, - 0.982910f, 0.982422f, 0.981445f, 0.980957f, 0.002743f, 0.008568f, 0.014305f, 0.021378f, 0.028732f, 0.037201f, 0.046387f, 0.057068f, - 0.068848f, 0.082336f, 0.096924f, 0.113159f, 0.130859f, 0.150146f, 0.171509f, 0.194824f, 0.219482f, 0.246338f, 0.273926f, 0.302734f, - 0.333496f, 0.364502f, 0.395752f, 0.426758f, 0.458252f, 0.489990f, 0.519531f, 0.548340f, 0.576660f, 0.604004f, 0.630859f, 0.654297f, - 0.678223f, 0.700684f, 0.720215f, 0.740234f, 0.758301f, 0.775391f, 0.790527f, 0.805176f, 0.818848f, 0.833008f, 0.844238f, 0.855469f, - 0.866699f, 0.876953f, 0.886230f, 0.894043f, 0.902832f, 0.910645f, 0.917480f, 0.924316f, 0.930664f, 0.937012f, 0.941895f, 0.947266f, - 0.952148f, 0.957031f, 0.981445f, 0.982422f, 0.981445f, 0.980957f, 0.980469f, 0.979004f, 0.002504f, 0.007004f, 0.012634f, 0.018555f, - 0.024933f, 0.032654f, 0.040283f, 0.048920f, 0.059357f, 0.070007f, 0.082642f, 0.096741f, 0.112122f, 0.128906f, 0.147339f, 0.167603f, - 0.189697f, 0.213257f, 0.238770f, 0.265869f, 0.293701f, 0.323242f, 0.354004f, 0.384766f, 0.415283f, 0.447021f, 0.478516f, 0.507812f, - 0.536621f, 0.565918f, 0.593750f, 0.620605f, 0.645508f, 0.668945f, 0.692383f, 0.712891f, 0.733398f, 0.751465f, 0.769531f, 0.785156f, - 0.801270f, 0.814941f, 0.828125f, 0.841797f, 0.853516f, 0.864746f, 0.874512f, 0.883789f, 0.893555f, 0.900879f, 0.910156f, 0.917480f, - 0.923340f, 0.930664f, 0.936523f, 0.942383f, 0.947754f, 0.952637f, 0.979492f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.978027f, - 0.002039f, 0.006287f, 0.010864f, 0.016129f, 0.021637f, 0.027786f, 0.034485f, 0.042450f, 0.051331f, 0.060760f, 0.071594f, 0.082886f, - 0.096313f, 0.110840f, 0.126587f, 0.145020f, 0.164185f, 0.185181f, 0.207520f, 0.232300f, 0.258301f, 0.285889f, 0.314941f, 0.344238f, - 0.374268f, 0.405029f, 0.436035f, 0.466797f, 0.498291f, 0.527344f, 0.555664f, 0.583984f, 0.611328f, 0.636230f, 0.661133f, 0.684082f, - 0.705566f, 0.726562f, 0.745605f, 0.764648f, 0.781250f, 0.797852f, 0.812500f, 0.825195f, 0.838867f, 0.851074f, 0.862305f, 0.873535f, - 0.883301f, 0.892578f, 0.901367f, 0.908203f, 0.916992f, 0.923828f, 0.931152f, 0.937012f, 0.942383f, 0.947266f, 0.978027f, 0.978516f, - 0.979004f, 0.978027f, 0.977051f, 0.977051f, 0.001762f, 0.005489f, 0.009804f, 0.013931f, 0.019028f, 0.024445f, 0.030518f, 0.036865f, - 0.044189f, 0.052460f, 0.061432f, 0.071960f, 0.083008f, 0.095642f, 0.109558f, 0.124756f, 0.141602f, 0.160156f, 0.180664f, 0.202148f, - 0.225952f, 0.250977f, 0.278076f, 0.305664f, 0.334961f, 0.364990f, 0.394775f, 0.425537f, 0.456543f, 0.487061f, 0.517090f, 0.546387f, - 0.575195f, 0.602539f, 0.627930f, 0.653809f, 0.676758f, 0.699707f, 0.721191f, 0.740723f, 0.759766f, 0.777832f, 0.793945f, 0.809082f, - 0.823242f, 0.836426f, 0.849609f, 0.861328f, 0.872070f, 0.881836f, 0.892578f, 0.900391f, 0.908691f, 0.916992f, 0.924316f, 0.931152f, - 0.937500f, 0.943359f, 0.976074f, 0.977051f, 0.977051f, 0.976562f, 0.976074f, 0.975098f, 0.001675f, 0.005020f, 0.008400f, 0.012253f, - 0.016724f, 0.021469f, 0.026428f, 0.032104f, 0.039062f, 0.045563f, 0.053741f, 0.062103f, 0.072205f, 0.082947f, 0.094666f, 0.107727f, - 0.122681f, 0.139038f, 0.156250f, 0.176514f, 0.197388f, 0.220581f, 0.244629f, 0.270752f, 0.297607f, 0.326172f, 0.355957f, 0.386475f, - 0.416748f, 0.447754f, 0.478027f, 0.507812f, 0.538086f, 0.566406f, 0.594727f, 0.621582f, 0.647461f, 0.671387f, 0.694336f, 0.716797f, - 0.737305f, 0.755859f, 0.773438f, 0.791016f, 0.807129f, 0.820801f, 0.834961f, 0.848145f, 0.860352f, 0.871582f, 0.881836f, 0.891602f, - 0.901367f, 0.909180f, 0.917480f, 0.925293f, 0.932129f, 0.938965f, 0.974609f, 0.975586f, 0.976074f, 0.974609f, 0.974121f, 0.973633f, - 0.001437f, 0.004513f, 0.007427f, 0.010994f, 0.014526f, 0.018829f, 0.023331f, 0.028229f, 0.034058f, 0.040192f, 0.046844f, 0.054321f, - 0.062683f, 0.071716f, 0.082397f, 0.093933f, 0.106567f, 0.120728f, 0.136230f, 0.153320f, 0.172485f, 0.192627f, 0.214233f, 0.237915f, - 0.263672f, 0.290527f, 0.318115f, 0.347412f, 0.377197f, 0.408203f, 0.438477f, 0.469482f, 0.499512f, 0.529785f, 0.558594f, 0.586914f, - 0.614258f, 0.641602f, 0.665527f, 0.689941f, 0.711914f, 0.732422f, 0.752930f, 0.771484f, 0.789062f, 0.805664f, 0.819824f, 0.833984f, - 0.847656f, 0.860840f, 0.871094f, 0.881836f, 0.891602f, 0.902344f, 0.910156f, 0.918457f, 0.926270f, 0.932617f, 0.972168f, 0.973633f, - 0.973633f, 0.973145f, 0.973145f, 0.971680f, 0.001390f, 0.003952f, 0.006779f, 0.009941f, 0.013062f, 0.017029f, 0.020905f, 0.024994f, - 0.029877f, 0.035187f, 0.041077f, 0.047119f, 0.055145f, 0.062500f, 0.071594f, 0.081543f, 0.092712f, 0.104736f, 0.118530f, 0.133179f, - 0.150024f, 0.168091f, 0.187378f, 0.209717f, 0.232178f, 0.256836f, 0.283447f, 0.311279f, 0.339844f, 0.369873f, 0.399658f, 0.429932f, - 0.461426f, 0.492188f, 0.521973f, 0.551758f, 0.580566f, 0.608887f, 0.635254f, 0.660645f, 0.685059f, 0.708008f, 0.729492f, 0.750488f, - 0.769043f, 0.786621f, 0.802734f, 0.818848f, 0.832520f, 0.846680f, 0.860352f, 0.871582f, 0.882324f, 0.892578f, 0.902832f, 0.911133f, - 0.919922f, 0.926758f, 0.970703f, 0.971680f, 0.971680f, 0.971680f, 0.971680f, 0.969238f, 0.001328f, 0.003641f, 0.006138f, 0.008690f, - 0.011444f, 0.014786f, 0.018311f, 0.022125f, 0.026337f, 0.031403f, 0.036011f, 0.041809f, 0.047943f, 0.054901f, 0.062622f, 0.071106f, - 0.081299f, 0.091614f, 0.103455f, 0.116333f, 0.130493f, 0.146484f, 0.164307f, 0.183228f, 0.204224f, 0.226685f, 0.251221f, 0.277100f, - 0.303711f, 0.332764f, 0.361572f, 0.391846f, 0.422852f, 0.454102f, 0.485352f, 0.515625f, 0.545410f, 0.574707f, 0.603027f, 0.630371f, - 0.656250f, 0.681641f, 0.705078f, 0.726562f, 0.747070f, 0.767578f, 0.784668f, 0.803223f, 0.818848f, 0.833008f, 0.847656f, 0.860352f, - 0.872559f, 0.883301f, 0.894043f, 0.903809f, 0.913574f, 0.921387f, 0.967773f, 0.970215f, 0.970215f, 0.968750f, 0.969238f, 0.968750f, - 0.001053f, 0.002905f, 0.005432f, 0.007912f, 0.010658f, 0.012901f, 0.016464f, 0.019363f, 0.023376f, 0.027237f, 0.031799f, 0.036346f, - 0.042145f, 0.048248f, 0.054871f, 0.062256f, 0.070618f, 0.079834f, 0.089844f, 0.101440f, 0.113831f, 0.128174f, 0.143433f, 0.160156f, - 0.179077f, 0.199707f, 0.222046f, 0.245483f, 0.271240f, 0.297363f, 0.325684f, 0.355469f, 0.385254f, 0.416016f, 0.447754f, 0.479004f, - 0.508789f, 0.539551f, 0.570312f, 0.598145f, 0.626465f, 0.652344f, 0.678223f, 0.702148f, 0.725098f, 0.746094f, 0.765625f, 0.785645f, - 0.803223f, 0.819336f, 0.834961f, 0.848145f, 0.861328f, 0.873535f, 0.884766f, 0.895508f, 0.905762f, 0.915527f, 0.965332f, 0.967773f, - 0.968262f, 0.967773f, 0.967285f, 0.966309f, 0.001106f, 0.002684f, 0.004913f, 0.006733f, 0.009300f, 0.011955f, 0.014435f, 0.017700f, - 0.020477f, 0.024124f, 0.028091f, 0.032532f, 0.037231f, 0.042511f, 0.048309f, 0.054596f, 0.061798f, 0.069885f, 0.078857f, 0.089050f, - 0.099915f, 0.112183f, 0.125488f, 0.140503f, 0.157104f, 0.175293f, 0.195068f, 0.216309f, 0.240356f, 0.265381f, 0.291748f, 0.319580f, - 0.348633f, 0.379150f, 0.410156f, 0.441406f, 0.472900f, 0.503418f, 0.534668f, 0.565430f, 0.594727f, 0.622070f, 0.649902f, 0.676270f, - 0.700195f, 0.723633f, 0.746094f, 0.766602f, 0.786133f, 0.802734f, 0.819824f, 0.835449f, 0.849609f, 0.863281f, 0.875977f, 0.887695f, - 0.898438f, 0.908203f, 0.962891f, 0.965820f, 0.966309f, 0.965332f, 0.964844f, 0.964355f, 0.000782f, 0.002707f, 0.004574f, 0.006184f, - 0.008286f, 0.010681f, 0.012878f, 0.015640f, 0.018478f, 0.021912f, 0.025208f, 0.028976f, 0.032867f, 0.037598f, 0.042938f, 0.048370f, - 0.054443f, 0.061432f, 0.069214f, 0.077515f, 0.087402f, 0.098145f, 0.109497f, 0.122803f, 0.137329f, 0.153564f, 0.171509f, 0.190918f, - 0.212158f, 0.235352f, 0.259766f, 0.286133f, 0.314209f, 0.343262f, 0.373535f, 0.404297f, 0.436279f, 0.467773f, 0.499512f, 0.530273f, - 0.561523f, 0.590820f, 0.620117f, 0.647461f, 0.674316f, 0.699219f, 0.722656f, 0.745605f, 0.766602f, 0.785645f, 0.804688f, 0.821777f, - 0.836426f, 0.852051f, 0.865234f, 0.878418f, 0.890625f, 0.901855f, 0.959961f, 0.962891f, 0.963867f, 0.963379f, 0.962402f, 0.962402f, - 0.000787f, 0.002195f, 0.004250f, 0.005775f, 0.007774f, 0.009445f, 0.011795f, 0.013725f, 0.016678f, 0.019531f, 0.022018f, 0.025665f, - 0.029495f, 0.033142f, 0.037598f, 0.042664f, 0.048248f, 0.053772f, 0.060699f, 0.067993f, 0.076416f, 0.085815f, 0.095764f, 0.107422f, - 0.120239f, 0.134277f, 0.150269f, 0.167358f, 0.186646f, 0.207764f, 0.230347f, 0.255127f, 0.281250f, 0.308838f, 0.337891f, 0.368408f, - 0.399414f, 0.431396f, 0.463135f, 0.495605f, 0.526855f, 0.558594f, 0.588379f, 0.618652f, 0.646973f, 0.673828f, 0.699707f, 0.723633f, - 0.746094f, 0.767090f, 0.788086f, 0.806641f, 0.823730f, 0.840332f, 0.854980f, 0.869141f, 0.881836f, 0.893555f, 0.957520f, 0.960938f, - 0.960938f, 0.961426f, 0.960449f, 0.959961f, 0.000765f, 0.002207f, 0.003666f, 0.005177f, 0.006973f, 0.008301f, 0.010704f, 0.012794f, - 0.015015f, 0.017303f, 0.020309f, 0.022568f, 0.026123f, 0.029587f, 0.033325f, 0.037659f, 0.042206f, 0.047516f, 0.053223f, 0.059814f, - 0.067017f, 0.075195f, 0.083801f, 0.094055f, 0.105042f, 0.117737f, 0.131470f, 0.146851f, 0.163940f, 0.182739f, 0.203369f, 0.225952f, - 0.250244f, 0.276367f, 0.304199f, 0.333008f, 0.364258f, 0.395264f, 0.427002f, 0.459961f, 0.491699f, 0.524414f, 0.555664f, 0.586914f, - 0.617676f, 0.645996f, 0.673340f, 0.699707f, 0.724121f, 0.748047f, 0.770020f, 0.790039f, 0.809082f, 0.827148f, 0.842773f, 0.858398f, - 0.873047f, 0.885742f, 0.954102f, 0.958008f, 0.958496f, 0.958496f, 0.958496f, 0.957520f, 0.000586f, 0.001937f, 0.003107f, 0.004745f, - 0.006168f, 0.007610f, 0.009590f, 0.011345f, 0.013321f, 0.015587f, 0.017593f, 0.020294f, 0.023346f, 0.026154f, 0.029205f, 0.033234f, - 0.037415f, 0.041962f, 0.046906f, 0.052673f, 0.058533f, 0.065796f, 0.073669f, 0.082642f, 0.092346f, 0.103027f, 0.115234f, 0.128784f, - 0.143799f, 0.160889f, 0.179199f, 0.199585f, 0.221802f, 0.246094f, 0.271973f, 0.299805f, 0.329102f, 0.359863f, 0.391357f, 0.423340f, - 0.456299f, 0.490234f, 0.522949f, 0.555176f, 0.586426f, 0.617188f, 0.645996f, 0.675293f, 0.701660f, 0.726074f, 0.750488f, 0.773926f, - 0.793945f, 0.812988f, 0.831543f, 0.847656f, 0.862793f, 0.877441f, 0.951660f, 0.955078f, 0.955566f, 0.955566f, 0.955078f, 0.954590f, - 0.000678f, 0.001864f, 0.003138f, 0.004333f, 0.005707f, 0.006893f, 0.008224f, 0.009850f, 0.012215f, 0.013954f, 0.015747f, 0.018219f, - 0.020584f, 0.023148f, 0.026047f, 0.029434f, 0.033020f, 0.037018f, 0.041626f, 0.046509f, 0.051910f, 0.058105f, 0.064636f, 0.072510f, - 0.080750f, 0.090149f, 0.100891f, 0.112549f, 0.126343f, 0.141113f, 0.157593f, 0.175537f, 0.195801f, 0.218018f, 0.242554f, 0.268311f, - 0.295898f, 0.325195f, 0.355713f, 0.388184f, 0.421143f, 0.454834f, 0.488281f, 0.522949f, 0.554199f, 0.587402f, 0.618164f, 0.648438f, - 0.676758f, 0.704102f, 0.730957f, 0.754395f, 0.776855f, 0.798340f, 0.817871f, 0.836426f, 0.852051f, 0.868164f, 0.948242f, 0.952637f, - 0.953125f, 0.952637f, 0.952148f, 0.951660f, 0.000470f, 0.001578f, 0.002934f, 0.003838f, 0.005032f, 0.006310f, 0.007725f, 0.008972f, - 0.010826f, 0.012657f, 0.014359f, 0.015991f, 0.018402f, 0.020721f, 0.023102f, 0.026230f, 0.029495f, 0.032867f, 0.036743f, 0.040680f, - 0.045654f, 0.050812f, 0.056763f, 0.063477f, 0.071045f, 0.078918f, 0.088440f, 0.098938f, 0.110657f, 0.123535f, 0.138062f, 0.154175f, - 0.172363f, 0.192627f, 0.214478f, 0.238770f, 0.264404f, 0.292236f, 0.322266f, 0.353271f, 0.385742f, 0.419189f, 0.453857f, 0.487549f, - 0.521484f, 0.555664f, 0.588867f, 0.621094f, 0.651367f, 0.680176f, 0.708008f, 0.733887f, 0.759766f, 0.780762f, 0.802734f, 0.821289f, - 0.840820f, 0.858398f, 0.943848f, 0.949219f, 0.949707f, 0.949707f, 0.949707f, 0.949219f, 0.000485f, 0.001689f, 0.002386f, 0.003698f, - 0.004547f, 0.005936f, 0.006851f, 0.008217f, 0.009834f, 0.011055f, 0.012810f, 0.014473f, 0.016449f, 0.018509f, 0.020950f, 0.023209f, - 0.025940f, 0.029114f, 0.032410f, 0.036133f, 0.040161f, 0.044861f, 0.050018f, 0.055664f, 0.061859f, 0.069153f, 0.077515f, 0.086365f, - 0.096680f, 0.108093f, 0.120605f, 0.135132f, 0.151489f, 0.169556f, 0.189209f, 0.211426f, 0.235352f, 0.261475f, 0.289307f, 0.319580f, - 0.351074f, 0.384521f, 0.418701f, 0.452881f, 0.487549f, 0.522461f, 0.556641f, 0.591309f, 0.623535f, 0.653809f, 0.684570f, 0.712891f, - 0.739258f, 0.764160f, 0.787109f, 0.809570f, 0.829102f, 0.847168f, 0.940918f, 0.945801f, 0.946289f, 0.946777f, 0.946777f, 0.945312f, - 0.000620f, 0.001351f, 0.002413f, 0.003273f, 0.004307f, 0.004971f, 0.006138f, 0.007542f, 0.008835f, 0.009972f, 0.011581f, 0.013069f, - 0.014717f, 0.016495f, 0.018738f, 0.020691f, 0.023315f, 0.025879f, 0.028793f, 0.031860f, 0.035309f, 0.039246f, 0.043762f, 0.048950f, - 0.054474f, 0.060669f, 0.067932f, 0.075378f, 0.084351f, 0.094055f, 0.105774f, 0.118469f, 0.132690f, 0.148315f, 0.166504f, 0.186401f, - 0.208130f, 0.232544f, 0.258789f, 0.287109f, 0.317627f, 0.349854f, 0.383057f, 0.417725f, 0.453125f, 0.488770f, 0.523926f, 0.559082f, - 0.594238f, 0.627441f, 0.659180f, 0.689941f, 0.719238f, 0.745117f, 0.770508f, 0.794434f, 0.815430f, 0.836914f, 0.936523f, 0.941895f, - 0.942871f, 0.942871f, 0.942871f, 0.942383f, 0.000404f, 0.001095f, 0.002087f, 0.002983f, 0.003986f, 0.004673f, 0.005844f, 0.006878f, - 0.007740f, 0.008873f, 0.010323f, 0.011757f, 0.013176f, 0.014915f, 0.016586f, 0.018585f, 0.020523f, 0.022720f, 0.025391f, 0.028244f, - 0.031219f, 0.034821f, 0.038788f, 0.042908f, 0.047943f, 0.053040f, 0.058960f, 0.066162f, 0.073547f, 0.082397f, 0.092285f, 0.102844f, - 0.115234f, 0.129883f, 0.146118f, 0.163452f, 0.183350f, 0.205688f, 0.229614f, 0.256592f, 0.285156f, 0.316162f, 0.348633f, 0.383057f, - 0.418457f, 0.454590f, 0.490967f, 0.526855f, 0.563477f, 0.598633f, 0.632812f, 0.665527f, 0.696777f, 0.726074f, 0.752930f, 0.779297f, - 0.803223f, 0.825684f, 0.933105f, 0.938477f, 0.938477f, 0.938965f, 0.938477f, 0.938477f, 0.000415f, 0.000864f, 0.001907f, 0.002775f, - 0.003519f, 0.004204f, 0.005352f, 0.006237f, 0.007019f, 0.008064f, 0.009239f, 0.010483f, 0.011742f, 0.013130f, 0.014877f, 0.016571f, - 0.018494f, 0.020126f, 0.022537f, 0.024826f, 0.027649f, 0.030701f, 0.033875f, 0.037964f, 0.042114f, 0.046356f, 0.051605f, 0.057587f, - 0.064209f, 0.071777f, 0.080261f, 0.089722f, 0.100952f, 0.113220f, 0.127075f, 0.143066f, 0.160767f, 0.180664f, 0.202759f, 0.227417f, - 0.254395f, 0.284180f, 0.315674f, 0.348633f, 0.383789f, 0.420166f, 0.457275f, 0.494385f, 0.531250f, 0.569336f, 0.605469f, 0.639160f, - 0.672363f, 0.705078f, 0.735352f, 0.762207f, 0.788574f, 0.811523f, 0.928711f, 0.934082f, 0.934570f, 0.935059f, 0.935059f, 0.935059f, - 0.000236f, 0.001136f, 0.001664f, 0.002502f, 0.003187f, 0.004082f, 0.004631f, 0.005386f, 0.006275f, 0.007385f, 0.008217f, 0.009453f, - 0.010567f, 0.011787f, 0.013115f, 0.014420f, 0.016083f, 0.017944f, 0.019867f, 0.022079f, 0.024414f, 0.026962f, 0.029755f, 0.033112f, - 0.036926f, 0.040771f, 0.045258f, 0.050232f, 0.056183f, 0.062500f, 0.069946f, 0.078430f, 0.087708f, 0.098389f, 0.110779f, 0.124634f, - 0.140259f, 0.158203f, 0.178223f, 0.200928f, 0.225708f, 0.253174f, 0.282715f, 0.315430f, 0.349365f, 0.385254f, 0.422363f, 0.460938f, - 0.499023f, 0.537109f, 0.574707f, 0.612305f, 0.646484f, 0.682129f, 0.713867f, 0.745117f, 0.772461f, 0.799316f, 0.923828f, 0.930176f, - 0.930664f, 0.931152f, 0.930664f, 0.930664f, 0.000229f, 0.000964f, 0.001582f, 0.002182f, 0.002838f, 0.003653f, 0.004341f, 0.004921f, - 0.005615f, 0.006626f, 0.007423f, 0.008545f, 0.009483f, 0.010666f, 0.011612f, 0.013000f, 0.014275f, 0.015900f, 0.017487f, 0.019333f, - 0.021484f, 0.023773f, 0.026276f, 0.028992f, 0.032135f, 0.035492f, 0.039398f, 0.044037f, 0.049072f, 0.054443f, 0.061035f, 0.067871f, - 0.076111f, 0.085632f, 0.096252f, 0.108154f, 0.122253f, 0.138306f, 0.156006f, 0.175903f, 0.199219f, 0.224243f, 0.251953f, 0.282715f, - 0.315918f, 0.350830f, 0.387451f, 0.425781f, 0.465332f, 0.504395f, 0.544434f, 0.583008f, 0.620117f, 0.657715f, 0.692383f, 0.725098f, - 0.755371f, 0.783691f, 0.919434f, 0.925781f, 0.926270f, 0.926758f, 0.926758f, 0.925781f, 0.000410f, 0.000856f, 0.001542f, 0.001844f, - 0.002565f, 0.003380f, 0.003971f, 0.004246f, 0.005047f, 0.005863f, 0.006653f, 0.007744f, 0.008568f, 0.009407f, 0.010529f, 0.011482f, - 0.012657f, 0.013924f, 0.015602f, 0.017105f, 0.018997f, 0.020859f, 0.022980f, 0.025192f, 0.028030f, 0.031036f, 0.034515f, 0.038300f, - 0.042236f, 0.047180f, 0.052795f, 0.059113f, 0.065857f, 0.074097f, 0.083374f, 0.094360f, 0.105896f, 0.119873f, 0.135620f, 0.154175f, - 0.174072f, 0.197632f, 0.223267f, 0.251465f, 0.283447f, 0.317139f, 0.353760f, 0.391113f, 0.431152f, 0.470703f, 0.512207f, 0.552734f, - 0.592285f, 0.631348f, 0.669434f, 0.704590f, 0.737793f, 0.768555f, 0.913574f, 0.919922f, 0.920898f, 0.920898f, 0.921387f, 0.921387f, - 0.000214f, 0.000619f, 0.001172f, 0.001941f, 0.002228f, 0.002960f, 0.003490f, 0.003994f, 0.004761f, 0.005180f, 0.005806f, 0.006622f, - 0.007565f, 0.008301f, 0.009262f, 0.010170f, 0.011208f, 0.012482f, 0.013855f, 0.015060f, 0.016739f, 0.018311f, 0.020248f, 0.022034f, - 0.024597f, 0.027084f, 0.030045f, 0.033051f, 0.036743f, 0.041016f, 0.045807f, 0.050964f, 0.056946f, 0.063904f, 0.071899f, 0.080994f, - 0.091675f, 0.103699f, 0.117920f, 0.133667f, 0.151978f, 0.172729f, 0.196533f, 0.222534f, 0.252197f, 0.284424f, 0.319580f, 0.356689f, - 0.396973f, 0.437500f, 0.479492f, 0.521484f, 0.562500f, 0.604004f, 0.644043f, 0.682129f, 0.718262f, 0.751465f, 0.907715f, 0.915039f, - 0.916016f, 0.916504f, 0.916504f, 0.916504f, 0.000405f, 0.000760f, 0.001116f, 0.001688f, 0.002180f, 0.002670f, 0.003313f, 0.003569f, - 0.003979f, 0.004543f, 0.005466f, 0.005985f, 0.006699f, 0.007359f, 0.008102f, 0.009094f, 0.009949f, 0.011055f, 0.012047f, 0.013412f, - 0.014488f, 0.016068f, 0.017532f, 0.019348f, 0.021210f, 0.023834f, 0.025986f, 0.028854f, 0.031891f, 0.035339f, 0.039490f, 0.043976f, - 0.049347f, 0.055084f, 0.061951f, 0.069763f, 0.078918f, 0.089478f, 0.101379f, 0.115479f, 0.131592f, 0.150024f, 0.171387f, 0.195068f, - 0.222900f, 0.252686f, 0.286621f, 0.323242f, 0.362061f, 0.402588f, 0.445312f, 0.488770f, 0.532715f, 0.575684f, 0.618652f, 0.659180f, - 0.698242f, 0.734375f, 0.901367f, 0.909180f, 0.911133f, 0.910645f, 0.911133f, 0.910645f, 0.000218f, 0.000539f, 0.001187f, 0.001617f, - 0.001987f, 0.002316f, 0.002666f, 0.003176f, 0.003841f, 0.004425f, 0.004917f, 0.005402f, 0.005768f, 0.006462f, 0.007233f, 0.008018f, - 0.008575f, 0.009758f, 0.010582f, 0.011520f, 0.012756f, 0.013832f, 0.015312f, 0.016968f, 0.018509f, 0.020279f, 0.022644f, 0.024857f, - 0.027740f, 0.030472f, 0.033783f, 0.037567f, 0.042175f, 0.047150f, 0.052979f, 0.059601f, 0.067505f, 0.076538f, 0.087158f, 0.099243f, - 0.113281f, 0.129272f, 0.148315f, 0.170532f, 0.194702f, 0.223267f, 0.254639f, 0.289795f, 0.327393f, 0.368408f, 0.410889f, 0.455322f, - 0.499756f, 0.544434f, 0.590332f, 0.633789f, 0.676270f, 0.716309f, 0.895508f, 0.902344f, 0.903809f, 0.905762f, 0.903809f, 0.904297f, - 0.000184f, 0.000612f, 0.001122f, 0.001464f, 0.001848f, 0.002150f, 0.002514f, 0.002651f, 0.003391f, 0.003666f, 0.004368f, 0.004677f, - 0.005219f, 0.005882f, 0.006531f, 0.007019f, 0.007675f, 0.008530f, 0.009224f, 0.010269f, 0.011017f, 0.012146f, 0.013321f, 0.014626f, - 0.016098f, 0.017639f, 0.019440f, 0.021317f, 0.023773f, 0.026123f, 0.029144f, 0.032410f, 0.036072f, 0.040314f, 0.045013f, 0.051086f, - 0.057587f, 0.065308f, 0.074402f, 0.084961f, 0.097107f, 0.111267f, 0.127930f, 0.147217f, 0.169556f, 0.195312f, 0.224365f, 0.257568f, - 0.294189f, 0.333496f, 0.375977f, 0.420166f, 0.467041f, 0.514160f, 0.561035f, 0.607422f, 0.652344f, 0.695312f, 0.888672f, 0.896484f, - 0.897461f, 0.897461f, 0.897949f, 0.897949f, 0.000159f, 0.000537f, 0.000830f, 0.001206f, 0.001578f, 0.001760f, 0.002050f, 0.002504f, - 0.002951f, 0.003397f, 0.003674f, 0.004238f, 0.004520f, 0.005245f, 0.005692f, 0.006138f, 0.006748f, 0.007240f, 0.008087f, 0.008728f, - 0.009636f, 0.010437f, 0.011543f, 0.012611f, 0.013763f, 0.015266f, 0.016617f, 0.018433f, 0.020248f, 0.022354f, 0.024887f, 0.027390f, - 0.030716f, 0.034454f, 0.038422f, 0.043365f, 0.048950f, 0.055511f, 0.062988f, 0.072021f, 0.082336f, 0.094727f, 0.109375f, 0.125977f, - 0.145874f, 0.169556f, 0.195679f, 0.226929f, 0.260986f, 0.299805f, 0.341309f, 0.385498f, 0.432129f, 0.480957f, 0.529297f, 0.579102f, - 0.627441f, 0.673828f, 0.881348f, 0.889160f, 0.890625f, 0.891113f, 0.891602f, 0.891113f, 0.000204f, 0.000566f, 0.000741f, 0.001033f, - 0.001378f, 0.001599f, 0.001961f, 0.002354f, 0.002609f, 0.002974f, 0.003300f, 0.003609f, 0.004101f, 0.004463f, 0.004906f, 0.005337f, - 0.006020f, 0.006290f, 0.007023f, 0.007656f, 0.008301f, 0.009140f, 0.009918f, 0.010933f, 0.011940f, 0.013107f, 0.014252f, 0.015656f, - 0.017136f, 0.019058f, 0.021057f, 0.023209f, 0.025940f, 0.029190f, 0.032715f, 0.036591f, 0.041138f, 0.046661f, 0.053253f, 0.060944f, - 0.069702f, 0.080444f, 0.092651f, 0.107788f, 0.124695f, 0.145630f, 0.169189f, 0.197632f, 0.229736f, 0.266113f, 0.306396f, 0.350586f, - 0.397217f, 0.447021f, 0.497803f, 0.549805f, 0.600586f, 0.650391f, 0.872559f, 0.881836f, 0.882812f, 0.883301f, 0.884277f, 0.884277f, - 0.000240f, 0.000349f, 0.000795f, 0.000892f, 0.001151f, 0.001377f, 0.001773f, 0.001984f, 0.002415f, 0.002602f, 0.002932f, 0.003168f, - 0.003483f, 0.003906f, 0.004257f, 0.004681f, 0.005173f, 0.005596f, 0.006119f, 0.006550f, 0.007126f, 0.007759f, 0.008522f, 0.009270f, - 0.010086f, 0.011108f, 0.012138f, 0.013199f, 0.014549f, 0.015884f, 0.017776f, 0.019623f, 0.022003f, 0.024384f, 0.027237f, 0.030624f, - 0.034515f, 0.039215f, 0.044342f, 0.050873f, 0.058411f, 0.067017f, 0.078003f, 0.090332f, 0.105530f, 0.123718f, 0.144775f, 0.170410f, - 0.200195f, 0.234131f, 0.272461f, 0.315674f, 0.362305f, 0.412354f, 0.465332f, 0.518555f, 0.572754f, 0.626465f, 0.863770f, 0.873047f, - 0.875488f, 0.875488f, 0.875977f, 0.875977f, 0.000102f, 0.000298f, 0.000604f, 0.000950f, 0.001089f, 0.001472f, 0.001760f, 0.001823f, - 0.001903f, 0.002325f, 0.002611f, 0.002775f, 0.003185f, 0.003405f, 0.003674f, 0.004005f, 0.004406f, 0.004814f, 0.005203f, 0.005665f, - 0.006062f, 0.006702f, 0.007317f, 0.007881f, 0.008560f, 0.009239f, 0.010193f, 0.010994f, 0.012161f, 0.013588f, 0.015068f, 0.016479f, - 0.018250f, 0.020386f, 0.022781f, 0.025665f, 0.028809f, 0.032501f, 0.037048f, 0.042297f, 0.048553f, 0.055908f, 0.065491f, 0.075378f, - 0.088501f, 0.104248f, 0.122742f, 0.145874f, 0.171997f, 0.203247f, 0.239990f, 0.281250f, 0.326904f, 0.376953f, 0.430176f, 0.486328f, - 0.542480f, 0.600586f, 0.855469f, 0.864746f, 0.866211f, 0.867188f, 0.867188f, 0.867188f, 0.000000f, 0.000357f, 0.000576f, 0.000692f, - 0.001013f, 0.001069f, 0.001383f, 0.001702f, 0.001789f, 0.002102f, 0.002182f, 0.002377f, 0.002686f, 0.002985f, 0.003347f, 0.003359f, - 0.003782f, 0.004036f, 0.004436f, 0.004749f, 0.005169f, 0.005672f, 0.006145f, 0.006649f, 0.007187f, 0.007828f, 0.008644f, 0.009529f, - 0.010269f, 0.011200f, 0.012337f, 0.013596f, 0.015038f, 0.017044f, 0.018784f, 0.021011f, 0.023727f, 0.026871f, 0.030457f, 0.034637f, - 0.039978f, 0.046478f, 0.053436f, 0.062622f, 0.073730f, 0.086792f, 0.102661f, 0.122437f, 0.146240f, 0.174561f, 0.208252f, 0.247437f, - 0.291748f, 0.341064f, 0.395020f, 0.451904f, 0.511230f, 0.571777f, 0.844238f, 0.854980f, 0.857422f, 0.858887f, 0.857910f, 0.857910f, - 0.000101f, 0.000326f, 0.000535f, 0.000683f, 0.000848f, 0.001161f, 0.001184f, 0.001284f, 0.001576f, 0.001701f, 0.001839f, 0.002167f, - 0.002321f, 0.002584f, 0.002645f, 0.002941f, 0.003141f, 0.003538f, 0.003817f, 0.004112f, 0.004395f, 0.004646f, 0.005165f, 0.005531f, - 0.006096f, 0.006496f, 0.007217f, 0.007767f, 0.008629f, 0.009163f, 0.010239f, 0.011276f, 0.012611f, 0.013779f, 0.015213f, 0.017120f, - 0.019379f, 0.021606f, 0.024994f, 0.028351f, 0.032379f, 0.037201f, 0.043640f, 0.050903f, 0.060120f, 0.071045f, 0.084900f, 0.101868f, - 0.122559f, 0.147827f, 0.178223f, 0.214722f, 0.257080f, 0.305664f, 0.358887f, 0.416992f, 0.478027f, 0.542969f, 0.834473f, 0.845215f, - 0.847656f, 0.847656f, 0.847656f, 0.848633f, 0.000092f, 0.000316f, 0.000410f, 0.000556f, 0.000808f, 0.000918f, 0.001094f, 0.001287f, - 0.001309f, 0.001411f, 0.001671f, 0.001780f, 0.001909f, 0.002092f, 0.002274f, 0.002523f, 0.002733f, 0.002974f, 0.003101f, 0.003401f, - 0.003677f, 0.003956f, 0.004311f, 0.004551f, 0.004940f, 0.005444f, 0.005768f, 0.006451f, 0.006977f, 0.007568f, 0.008270f, 0.009201f, - 0.010170f, 0.011230f, 0.012566f, 0.013939f, 0.015503f, 0.017761f, 0.020111f, 0.022873f, 0.025940f, 0.029938f, 0.035217f, 0.040985f, - 0.048431f, 0.057770f, 0.069092f, 0.083618f, 0.100891f, 0.123047f, 0.150146f, 0.183838f, 0.223633f, 0.269531f, 0.322510f, 0.381348f, - 0.444824f, 0.511719f, 0.823730f, 0.834473f, 0.835938f, 0.836914f, 0.836914f, 0.837402f, 0.000240f, 0.000273f, 0.000326f, 0.000564f, - 0.000682f, 0.000807f, 0.000854f, 0.000949f, 0.001139f, 0.001238f, 0.001404f, 0.001548f, 0.001637f, 0.001840f, 0.001893f, 0.002077f, - 0.002321f, 0.002434f, 0.002642f, 0.002821f, 0.003044f, 0.003271f, 0.003649f, 0.003763f, 0.004208f, 0.004448f, 0.004986f, 0.005169f, - 0.005657f, 0.006279f, 0.006680f, 0.007442f, 0.008194f, 0.008881f, 0.009895f, 0.010918f, 0.012138f, 0.013924f, 0.015915f, 0.018112f, - 0.020645f, 0.023743f, 0.027817f, 0.032745f, 0.038361f, 0.045990f, 0.055481f, 0.066895f, 0.082031f, 0.100769f, 0.124573f, 0.154541f, - 0.190796f, 0.235107f, 0.286133f, 0.344238f, 0.408936f, 0.478271f, 0.810547f, 0.822266f, 0.824707f, 0.825195f, 0.825684f, 0.825684f, - 0.000115f, 0.000222f, 0.000252f, 0.000524f, 0.000574f, 0.000673f, 0.000869f, 0.000928f, 0.000963f, 0.001022f, 0.001246f, 0.001292f, - 0.001404f, 0.001477f, 0.001652f, 0.001811f, 0.001822f, 0.002058f, 0.002237f, 0.002371f, 0.002588f, 0.002645f, 0.003019f, 0.003080f, - 0.003506f, 0.003689f, 0.003904f, 0.004383f, 0.004707f, 0.005020f, 0.005386f, 0.006023f, 0.006451f, 0.007038f, 0.007809f, 0.008911f, - 0.009949f, 0.011200f, 0.012222f, 0.014137f, 0.016068f, 0.018692f, 0.021683f, 0.025314f, 0.029861f, 0.035889f, 0.043335f, 0.052582f, - 0.065186f, 0.080627f, 0.101501f, 0.127441f, 0.159912f, 0.200806f, 0.250000f, 0.307129f, 0.371582f, 0.444580f, 0.798340f, 0.809570f, - 0.811523f, 0.812988f, 0.812988f, 0.812988f, 0.000000f, 0.000211f, 0.000204f, 0.000474f, 0.000555f, 0.000583f, 0.000600f, 0.000593f, - 0.000812f, 0.000865f, 0.000941f, 0.001013f, 0.001162f, 0.001348f, 0.001418f, 0.001465f, 0.001616f, 0.001722f, 0.001856f, 0.001888f, - 0.002048f, 0.002321f, 0.002396f, 0.002632f, 0.002821f, 0.002974f, 0.003265f, 0.003477f, 0.003632f, 0.004051f, 0.004299f, 0.004700f, - 0.005238f, 0.005592f, 0.006199f, 0.006756f, 0.007614f, 0.008324f, 0.009727f, 0.010811f, 0.012337f, 0.014168f, 0.016434f, 0.019257f, - 0.022858f, 0.027451f, 0.033295f, 0.040619f, 0.050690f, 0.063416f, 0.080261f, 0.102295f, 0.131104f, 0.168335f, 0.214355f, 0.270508f, - 0.334717f, 0.408936f, 0.783691f, 0.795898f, 0.798340f, 0.799316f, 0.800293f, 0.800293f, 0.000174f, 0.000090f, 0.000281f, 0.000397f, - 0.000401f, 0.000450f, 0.000488f, 0.000640f, 0.000674f, 0.000713f, 0.000753f, 0.000845f, 0.000872f, 0.001020f, 0.001115f, 0.001264f, - 0.001327f, 0.001373f, 0.001520f, 0.001616f, 0.001767f, 0.001875f, 0.001968f, 0.002090f, 0.002232f, 0.002333f, 0.002472f, 0.002802f, - 0.002926f, 0.003189f, 0.003569f, 0.003752f, 0.004009f, 0.004513f, 0.004860f, 0.005375f, 0.005997f, 0.006561f, 0.007378f, 0.008347f, - 0.009384f, 0.010612f, 0.012466f, 0.014526f, 0.017075f, 0.020447f, 0.024887f, 0.030533f, 0.038300f, 0.048584f, 0.062042f, 0.080383f, - 0.104736f, 0.137329f, 0.180176f, 0.232544f, 0.296875f, 0.371338f, 0.769043f, 0.781250f, 0.784180f, 0.784668f, 0.786133f, 0.786133f, - 0.000025f, 0.000135f, 0.000154f, 0.000260f, 0.000353f, 0.000364f, 0.000380f, 0.000520f, 0.000548f, 0.000587f, 0.000712f, 0.000735f, - 0.000772f, 0.000822f, 0.000886f, 0.001004f, 0.000946f, 0.001115f, 0.001177f, 0.001266f, 0.001454f, 0.001527f, 0.001575f, 0.001680f, - 0.001883f, 0.001961f, 0.002043f, 0.002193f, 0.002281f, 0.002520f, 0.002712f, 0.003021f, 0.003147f, 0.003561f, 0.003786f, 0.004116f, - 0.004570f, 0.005058f, 0.005634f, 0.006165f, 0.007095f, 0.008049f, 0.009201f, 0.010674f, 0.012550f, 0.014854f, 0.018051f, 0.022385f, - 0.027908f, 0.035522f, 0.046295f, 0.061035f, 0.081238f, 0.109131f, 0.146729f, 0.197021f, 0.258301f, 0.333008f, 0.752441f, 0.766113f, - 0.768555f, 0.769531f, 0.770020f, 0.769531f, 0.000000f, 0.000121f, 0.000209f, 0.000291f, 0.000337f, 0.000307f, 0.000324f, 0.000415f, - 0.000426f, 0.000453f, 0.000491f, 0.000573f, 0.000644f, 0.000650f, 0.000781f, 0.000746f, 0.000830f, 0.000803f, 0.000997f, 0.001017f, - 0.001020f, 0.001158f, 0.001241f, 0.001317f, 0.001375f, 0.001432f, 0.001524f, 0.001656f, 0.001858f, 0.001955f, 0.002050f, 0.002274f, - 0.002460f, 0.002724f, 0.002831f, 0.003050f, 0.003441f, 0.003790f, 0.004162f, 0.004623f, 0.005219f, 0.005951f, 0.006721f, 0.007729f, - 0.008926f, 0.010620f, 0.013000f, 0.015686f, 0.019852f, 0.025436f, 0.033295f, 0.044617f, 0.060608f, 0.083313f, 0.116211f, 0.161499f, - 0.220093f, 0.293945f, 0.734863f, 0.749512f, 0.752441f, 0.752930f, 0.753906f, 0.753906f, 0.000000f, 0.000121f, 0.000118f, 0.000246f, - 0.000233f, 0.000252f, 0.000338f, 0.000282f, 0.000353f, 0.000355f, 0.000448f, 0.000435f, 0.000464f, 0.000530f, 0.000578f, 0.000649f, - 0.000677f, 0.000710f, 0.000749f, 0.000792f, 0.000881f, 0.000903f, 0.000967f, 0.001049f, 0.001041f, 0.001100f, 0.001176f, 0.001254f, - 0.001402f, 0.001451f, 0.001697f, 0.001674f, 0.001804f, 0.001914f, 0.002195f, 0.002451f, 0.002474f, 0.002758f, 0.003029f, 0.003483f, - 0.003824f, 0.004272f, 0.004833f, 0.005573f, 0.006477f, 0.007629f, 0.009041f, 0.010918f, 0.013573f, 0.017319f, 0.022842f, 0.031036f, - 0.043030f, 0.061096f, 0.088440f, 0.127563f, 0.182861f, 0.254395f, 0.717285f, 0.731934f, 0.734863f, 0.735352f, 0.735840f, 0.736328f, - 0.000000f, 0.000000f, 0.000117f, 0.000163f, 0.000109f, 0.000208f, 0.000212f, 0.000208f, 0.000270f, 0.000356f, 0.000324f, 0.000377f, - 0.000391f, 0.000420f, 0.000449f, 0.000440f, 0.000484f, 0.000504f, 0.000534f, 0.000561f, 0.000639f, 0.000667f, 0.000715f, 0.000722f, - 0.000799f, 0.000845f, 0.000939f, 0.000945f, 0.001053f, 0.001149f, 0.001252f, 0.001310f, 0.001392f, 0.001507f, 0.001526f, 0.001710f, - 0.001773f, 0.002111f, 0.002300f, 0.002443f, 0.002661f, 0.002996f, 0.003376f, 0.003880f, 0.004482f, 0.005150f, 0.006115f, 0.007401f, - 0.009132f, 0.011696f, 0.015076f, 0.020416f, 0.029236f, 0.042389f, 0.063782f, 0.096802f, 0.146362f, 0.215576f, 0.698242f, 0.712891f, - 0.715332f, 0.716797f, 0.717285f, 0.717285f, 0.000000f, 0.000118f, 0.000115f, 0.000133f, 0.000144f, 0.000147f, 0.000162f, 0.000150f, - 0.000194f, 0.000215f, 0.000228f, 0.000299f, 0.000271f, 0.000313f, 0.000328f, 0.000358f, 0.000378f, 0.000360f, 0.000407f, 0.000438f, - 0.000441f, 0.000488f, 0.000515f, 0.000544f, 0.000576f, 0.000617f, 0.000659f, 0.000715f, 0.000741f, 0.000773f, 0.000850f, 0.000921f, - 0.000979f, 0.001066f, 0.001128f, 0.001292f, 0.001279f, 0.001400f, 0.001572f, 0.001668f, 0.001869f, 0.002029f, 0.002295f, 0.002607f, - 0.002985f, 0.003464f, 0.004066f, 0.004913f, 0.006023f, 0.007519f, 0.009827f, 0.013016f, 0.018524f, 0.027481f, 0.042847f, 0.068970f, - 0.111938f, 0.176392f, 0.675781f, 0.692871f, 0.695801f, 0.696777f, 0.698242f, 0.697754f, 0.000000f, 0.000000f, 0.000111f, 0.000108f, - 0.000104f, 0.000102f, 0.000118f, 0.000120f, 0.000134f, 0.000128f, 0.000188f, 0.000154f, 0.000197f, 0.000188f, 0.000245f, 0.000256f, - 0.000233f, 0.000266f, 0.000345f, 0.000281f, 0.000355f, 0.000322f, 0.000392f, 0.000358f, 0.000437f, 0.000425f, 0.000458f, 0.000477f, - 0.000564f, 0.000636f, 0.000578f, 0.000607f, 0.000668f, 0.000719f, 0.000769f, 0.000832f, 0.000880f, 0.000953f, 0.001060f, 0.001116f, - 0.001226f, 0.001363f, 0.001486f, 0.001760f, 0.001944f, 0.002216f, 0.002605f, 0.003107f, 0.003778f, 0.004715f, 0.005989f, 0.007942f, - 0.011292f, 0.016632f, 0.026550f, 0.045532f, 0.079956f, 0.138550f, 0.655762f, 0.671875f, 0.674805f, 0.675293f, 0.675781f, 0.678223f, - 0.000000f, 0.000112f, 0.000105f, 0.000102f, 0.000098f, 0.000095f, 0.000093f, 0.000088f, 0.000089f, 0.000085f, 0.000095f, 0.000126f, - 0.000109f, 0.000154f, 0.000153f, 0.000162f, 0.000176f, 0.000190f, 0.000202f, 0.000204f, 0.000212f, 0.000214f, 0.000266f, 0.000239f, - 0.000279f, 0.000293f, 0.000329f, 0.000329f, 0.000339f, 0.000365f, 0.000437f, 0.000424f, 0.000429f, 0.000474f, 0.000525f, 0.000596f, - 0.000572f, 0.000612f, 0.000666f, 0.000723f, 0.000791f, 0.000850f, 0.000977f, 0.001066f, 0.001225f, 0.001351f, 0.001555f, 0.001837f, - 0.002279f, 0.002760f, 0.003445f, 0.004612f, 0.006386f, 0.009438f, 0.015221f, 0.027008f, 0.052551f, 0.102966f, 0.633789f, 0.649414f, - 0.652832f, 0.653809f, 0.655273f, 0.655273f, 0.000000f, 0.000105f, 0.000099f, 0.000094f, 0.000090f, 0.000087f, 0.000084f, 0.000082f, - 0.000079f, 0.000075f, 0.000071f, 0.000068f, 0.000064f, 0.000072f, 0.000096f, 0.000105f, 0.000112f, 0.000088f, 0.000123f, 0.000129f, - 0.000132f, 0.000140f, 0.000147f, 0.000170f, 0.000188f, 0.000192f, 0.000171f, 0.000210f, 0.000217f, 0.000223f, 0.000237f, 0.000251f, - 0.000258f, 0.000294f, 0.000298f, 0.000316f, 0.000350f, 0.000382f, 0.000400f, 0.000437f, 0.000479f, 0.000514f, 0.000576f, 0.000620f, - 0.000688f, 0.000782f, 0.000916f, 0.001026f, 0.001219f, 0.001502f, 0.001892f, 0.002424f, 0.003359f, 0.004974f, 0.008118f, 0.014343f, - 0.030075f, 0.070068f, 0.610352f, 0.626953f, 0.629883f, 0.631348f, 0.632324f, 0.632324f, 0.000110f, 0.000094f, 0.000087f, 0.000081f, - 0.000077f, 0.000075f, 0.000072f, 0.000069f, 0.000067f, 0.000066f, 0.000064f, 0.000062f, 0.000058f, 0.000056f, 0.000053f, 0.000051f, - 0.000054f, 0.000047f, 0.000057f, 0.000055f, 0.000075f, 0.000078f, 0.000086f, 0.000093f, 0.000093f, 0.000102f, 0.000112f, 0.000113f, - 0.000130f, 0.000128f, 0.000142f, 0.000145f, 0.000156f, 0.000153f, 0.000180f, 0.000178f, 0.000183f, 0.000223f, 0.000230f, 0.000240f, - 0.000265f, 0.000276f, 0.000300f, 0.000332f, 0.000357f, 0.000411f, 0.000449f, 0.000540f, 0.000615f, 0.000741f, 0.000916f, 0.001144f, - 0.001566f, 0.002310f, 0.003731f, 0.006905f, 0.014793f, 0.041779f, 0.585938f, 0.603027f, 0.605957f, 0.608398f, 0.608398f, 0.609375f, - 0.000090f, 0.000071f, 0.000066f, 0.000062f, 0.000058f, 0.000056f, 0.000053f, 0.000053f, 0.000051f, 0.000051f, 0.000049f, 0.000048f, - 0.000048f, 0.000047f, 0.000045f, 0.000043f, 0.000042f, 0.000040f, 0.000038f, 0.000036f, 0.000036f, 0.000033f, 0.000034f, 0.000040f, - 0.000040f, 0.000040f, 0.000048f, 0.000053f, 0.000060f, 0.000064f, 0.000067f, 0.000070f, 0.000075f, 0.000081f, 0.000085f, 0.000090f, - 0.000091f, 0.000103f, 0.000106f, 0.000120f, 0.000134f, 0.000138f, 0.000142f, 0.000156f, 0.000174f, 0.000180f, 0.000212f, 0.000239f, - 0.000253f, 0.000310f, 0.000377f, 0.000479f, 0.000627f, 0.000875f, 0.001396f, 0.002623f, 0.006184f, 0.019897f, 0.560547f, 0.578125f, - 0.581543f, 0.583008f, 0.583984f, 0.583984f, 0.000038f, 0.000035f, 0.000031f, 0.000031f, 0.000030f, 0.000031f, 0.000031f, 0.000030f, - 0.000030f, 0.000028f, 0.000029f, 0.000030f, 0.000029f, 0.000028f, 0.000029f, 0.000029f, 0.000029f, 0.000029f, 0.000029f, 0.000028f, - 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000019f, 0.000022f, - 0.000023f, 0.000027f, 0.000031f, 0.000035f, 0.000037f, 0.000039f, 0.000039f, 0.000043f, 0.000049f, 0.000052f, 0.000056f, 0.000050f, - 0.000068f, 0.000062f, 0.000070f, 0.000087f, 0.000094f, 0.000107f, 0.000122f, 0.000140f, 0.000191f, 0.000247f, 0.000388f, 0.000710f, - 0.001781f, 0.007076f, 0.535156f, 0.553223f, 0.556152f, 0.558105f, 0.559082f, 0.559082f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000003f, 0.000005f, 0.000006f, 0.000007f, 0.000007f, 0.000009f, - 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000013f, 0.000013f, 0.000013f, - 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000009f, - 0.000009f, 0.000010f, 0.000011f, 0.000015f, 0.000017f, 0.000016f, 0.000018f, 0.000021f, 0.000020f, 0.000024f, 0.000024f, 0.000032f, - 0.000035f, 0.000045f, 0.000065f, 0.000105f, 0.000246f, 0.001313f, 0.508789f, 0.527344f, 0.530762f, 0.531738f, 0.532715f, 0.533691f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000005f, 0.000018f, 0.481934f, 0.500977f, - 0.504883f, 0.505859f, 0.507324f, 0.507812f, - }, - { - 0.053833f, 0.152832f, 0.239014f, 0.313477f, 0.377686f, 0.433838f, 0.481689f, 0.524414f, 0.562988f, 0.596680f, 0.626953f, 0.654785f, - 0.678711f, 0.700684f, 0.720703f, 0.739746f, 0.755859f, 0.771973f, 0.787109f, 0.798828f, 0.812012f, 0.823730f, 0.833984f, 0.844238f, - 0.853027f, 0.862793f, 0.870605f, 0.878418f, 0.885254f, 0.892090f, 0.898926f, 0.904297f, 0.910645f, 0.916504f, 0.921875f, 0.926270f, - 0.931641f, 0.936035f, 0.939941f, 0.944336f, 0.948242f, 0.952148f, 0.955566f, 0.959961f, 0.962402f, 0.966309f, 0.969238f, 0.972168f, - 0.975098f, 0.978027f, 0.980957f, 0.983398f, 0.985840f, 0.988281f, 0.990723f, 0.992676f, 0.995117f, 0.996582f, 0.998047f, 0.995117f, - 0.993164f, 0.990723f, 0.988770f, 0.986816f, 0.036804f, 0.109497f, 0.178589f, 0.244751f, 0.305908f, 0.361084f, 0.411621f, 0.457275f, - 0.498535f, 0.536133f, 0.569824f, 0.601562f, 0.629883f, 0.655273f, 0.679688f, 0.700195f, 0.720215f, 0.737793f, 0.755859f, 0.770508f, - 0.785645f, 0.798340f, 0.811035f, 0.822754f, 0.833008f, 0.843750f, 0.852539f, 0.861328f, 0.869629f, 0.877441f, 0.885742f, 0.892578f, - 0.898926f, 0.905273f, 0.911133f, 0.916504f, 0.921875f, 0.926758f, 0.931641f, 0.936523f, 0.940430f, 0.945312f, 0.949219f, 0.953613f, - 0.956543f, 0.960449f, 0.963867f, 0.967285f, 0.970703f, 0.973633f, 0.976562f, 0.979004f, 0.981934f, 0.984375f, 0.986816f, 0.989746f, - 0.992188f, 0.994141f, 0.996582f, 0.994141f, 0.992188f, 0.990234f, 0.988281f, 0.986328f, 0.025787f, 0.080383f, 0.136230f, 0.191650f, - 0.245239f, 0.297119f, 0.345947f, 0.392822f, 0.436035f, 0.476807f, 0.513184f, 0.547363f, 0.578125f, 0.607910f, 0.634766f, 0.658203f, - 0.681152f, 0.702637f, 0.721191f, 0.738770f, 0.755371f, 0.770508f, 0.784668f, 0.798828f, 0.810547f, 0.821777f, 0.833984f, 0.843262f, - 0.852539f, 0.861816f, 0.869629f, 0.877930f, 0.885254f, 0.893555f, 0.898926f, 0.906250f, 0.911621f, 0.917969f, 0.923340f, 0.928223f, - 0.933105f, 0.937500f, 0.941406f, 0.946289f, 0.950195f, 0.954102f, 0.958496f, 0.961914f, 0.965820f, 0.968750f, 0.971680f, 0.975098f, - 0.978027f, 0.980469f, 0.983887f, 0.985840f, 0.988770f, 0.991211f, 0.995117f, 0.993164f, 0.991211f, 0.989258f, 0.987305f, 0.985352f, - 0.019455f, 0.060944f, 0.104553f, 0.150513f, 0.196411f, 0.243164f, 0.289062f, 0.333740f, 0.376709f, 0.417725f, 0.454346f, 0.491211f, - 0.524414f, 0.556641f, 0.585938f, 0.613770f, 0.639160f, 0.662598f, 0.682617f, 0.703613f, 0.723633f, 0.740723f, 0.756836f, 0.771973f, - 0.787109f, 0.798828f, 0.812012f, 0.823242f, 0.833984f, 0.844238f, 0.853516f, 0.863281f, 0.871094f, 0.879395f, 0.886719f, 0.893555f, - 0.899902f, 0.907227f, 0.913086f, 0.918945f, 0.924805f, 0.928711f, 0.934082f, 0.938965f, 0.943848f, 0.947754f, 0.952637f, 0.955566f, - 0.959961f, 0.963867f, 0.966797f, 0.970215f, 0.973633f, 0.977051f, 0.979004f, 0.982422f, 0.985840f, 0.987793f, 0.993652f, 0.991699f, - 0.989746f, 0.988281f, 0.986328f, 0.984375f, 0.015221f, 0.047363f, 0.082092f, 0.119202f, 0.159058f, 0.199219f, 0.239380f, 0.280762f, - 0.321533f, 0.362061f, 0.400146f, 0.436768f, 0.472900f, 0.504883f, 0.536621f, 0.566406f, 0.594238f, 0.621094f, 0.645508f, 0.667969f, - 0.688477f, 0.707520f, 0.726562f, 0.742676f, 0.759277f, 0.773926f, 0.787598f, 0.800781f, 0.812988f, 0.825195f, 0.835938f, 0.846191f, - 0.856445f, 0.865234f, 0.872559f, 0.880859f, 0.888672f, 0.895020f, 0.902832f, 0.908203f, 0.914551f, 0.919922f, 0.926758f, 0.931152f, - 0.937012f, 0.941406f, 0.945312f, 0.949707f, 0.954102f, 0.958496f, 0.962402f, 0.965820f, 0.969238f, 0.972168f, 0.976074f, 0.978516f, - 0.981934f, 0.984863f, 0.992188f, 0.990723f, 0.988770f, 0.987305f, 0.985352f, 0.983887f, 0.011658f, 0.037170f, 0.065430f, 0.096008f, - 0.128784f, 0.162842f, 0.198975f, 0.235596f, 0.273926f, 0.310791f, 0.348145f, 0.385010f, 0.420410f, 0.454834f, 0.488037f, 0.519043f, - 0.548828f, 0.577148f, 0.603516f, 0.627441f, 0.650879f, 0.672363f, 0.693848f, 0.712402f, 0.729980f, 0.748535f, 0.762207f, 0.778809f, - 0.791504f, 0.804199f, 0.815918f, 0.827637f, 0.838867f, 0.848145f, 0.857910f, 0.866211f, 0.875977f, 0.883301f, 0.891602f, 0.898438f, - 0.905273f, 0.911133f, 0.917480f, 0.923340f, 0.928711f, 0.933594f, 0.938477f, 0.942871f, 0.948242f, 0.952637f, 0.956543f, 0.960449f, - 0.964355f, 0.968262f, 0.971191f, 0.974609f, 0.978027f, 0.980957f, 0.990723f, 0.989258f, 0.987793f, 0.985840f, 0.984375f, 0.983398f, - 0.009758f, 0.030121f, 0.052490f, 0.077576f, 0.104309f, 0.134277f, 0.164917f, 0.197510f, 0.231812f, 0.266113f, 0.301025f, 0.336426f, - 0.372070f, 0.405762f, 0.438721f, 0.471436f, 0.502441f, 0.531738f, 0.560059f, 0.587402f, 0.612793f, 0.634766f, 0.658691f, 0.679199f, - 0.699219f, 0.718262f, 0.735352f, 0.751953f, 0.767090f, 0.780762f, 0.794922f, 0.808105f, 0.820801f, 0.831055f, 0.842285f, 0.851562f, - 0.861328f, 0.870117f, 0.878906f, 0.886719f, 0.893555f, 0.900879f, 0.907715f, 0.913574f, 0.919434f, 0.926270f, 0.932129f, 0.936523f, - 0.941895f, 0.945801f, 0.951172f, 0.955078f, 0.959473f, 0.963867f, 0.966797f, 0.970703f, 0.974121f, 0.977539f, 0.989746f, 0.988281f, - 0.986328f, 0.984863f, 0.983398f, 0.982422f, 0.007744f, 0.024567f, 0.043365f, 0.063782f, 0.086487f, 0.111389f, 0.137451f, 0.166260f, - 0.195435f, 0.226929f, 0.259033f, 0.291748f, 0.324951f, 0.358398f, 0.391113f, 0.424316f, 0.456299f, 0.486328f, 0.516113f, 0.543945f, - 0.571289f, 0.597656f, 0.621094f, 0.644531f, 0.666504f, 0.686523f, 0.705078f, 0.724121f, 0.741211f, 0.757324f, 0.773438f, 0.786621f, - 0.801270f, 0.812988f, 0.823730f, 0.835938f, 0.846191f, 0.855957f, 0.865723f, 0.873047f, 0.882324f, 0.889648f, 0.897949f, 0.905762f, - 0.911133f, 0.917969f, 0.923828f, 0.929199f, 0.934082f, 0.940430f, 0.944824f, 0.949707f, 0.954102f, 0.958008f, 0.962891f, 0.966309f, - 0.970215f, 0.974121f, 0.987793f, 0.986816f, 0.985352f, 0.983887f, 0.981934f, 0.980469f, 0.006672f, 0.020828f, 0.035950f, 0.053345f, - 0.071594f, 0.092834f, 0.114624f, 0.139282f, 0.165649f, 0.192627f, 0.222290f, 0.252197f, 0.283203f, 0.314941f, 0.346680f, 0.377930f, - 0.409668f, 0.441650f, 0.471680f, 0.500977f, 0.529297f, 0.557129f, 0.583008f, 0.607422f, 0.630859f, 0.654297f, 0.674805f, 0.694824f, - 0.713867f, 0.731445f, 0.748535f, 0.763672f, 0.778320f, 0.791992f, 0.805664f, 0.817871f, 0.829590f, 0.840332f, 0.850098f, 0.860352f, - 0.869141f, 0.878906f, 0.886719f, 0.894043f, 0.901855f, 0.909180f, 0.915527f, 0.920898f, 0.927246f, 0.933105f, 0.938477f, 0.943848f, - 0.948730f, 0.953125f, 0.957520f, 0.961914f, 0.965820f, 0.970215f, 0.985840f, 0.985352f, 0.983887f, 0.981934f, 0.980957f, 0.979492f, - 0.005592f, 0.017181f, 0.030457f, 0.044739f, 0.060638f, 0.077454f, 0.097046f, 0.117981f, 0.140625f, 0.164673f, 0.190552f, 0.217896f, - 0.246582f, 0.275635f, 0.305176f, 0.336426f, 0.366943f, 0.397949f, 0.428711f, 0.457764f, 0.487061f, 0.515137f, 0.542480f, 0.568848f, - 0.593750f, 0.619141f, 0.641602f, 0.662598f, 0.683594f, 0.703613f, 0.721191f, 0.738281f, 0.755859f, 0.770996f, 0.784180f, 0.799316f, - 0.811035f, 0.823730f, 0.833984f, 0.845703f, 0.855957f, 0.865234f, 0.875000f, 0.883301f, 0.891602f, 0.898926f, 0.906738f, 0.912598f, - 0.919922f, 0.926270f, 0.931152f, 0.937988f, 0.942871f, 0.948242f, 0.952148f, 0.957520f, 0.961914f, 0.966309f, 0.984375f, 0.983398f, - 0.982422f, 0.981445f, 0.979492f, 0.978027f, 0.004829f, 0.014816f, 0.025711f, 0.037964f, 0.051300f, 0.065796f, 0.082458f, 0.100037f, - 0.120178f, 0.141357f, 0.163330f, 0.187622f, 0.213013f, 0.240601f, 0.268311f, 0.296387f, 0.325928f, 0.356445f, 0.385742f, 0.415771f, - 0.445557f, 0.474121f, 0.501465f, 0.530762f, 0.556152f, 0.581543f, 0.606445f, 0.630859f, 0.651855f, 0.672852f, 0.693359f, 0.712402f, - 0.730469f, 0.746582f, 0.762695f, 0.777832f, 0.791992f, 0.806152f, 0.818359f, 0.830566f, 0.840820f, 0.852051f, 0.862305f, 0.871094f, - 0.880371f, 0.888184f, 0.896484f, 0.904297f, 0.910645f, 0.917969f, 0.924316f, 0.931152f, 0.936035f, 0.942383f, 0.947266f, 0.951660f, - 0.957031f, 0.960938f, 0.982422f, 0.982422f, 0.981445f, 0.979492f, 0.978516f, 0.977051f, 0.004040f, 0.012436f, 0.022064f, 0.032440f, - 0.044006f, 0.056549f, 0.070068f, 0.085999f, 0.102539f, 0.120239f, 0.140625f, 0.161621f, 0.184448f, 0.208496f, 0.234253f, 0.260742f, - 0.288086f, 0.316406f, 0.345215f, 0.374512f, 0.404297f, 0.433350f, 0.462402f, 0.490234f, 0.518066f, 0.543945f, 0.570312f, 0.594727f, - 0.618652f, 0.642090f, 0.663086f, 0.683594f, 0.703613f, 0.721680f, 0.739258f, 0.755859f, 0.772461f, 0.786621f, 0.798828f, 0.812500f, - 0.825195f, 0.836914f, 0.848633f, 0.858887f, 0.869141f, 0.877441f, 0.886230f, 0.894531f, 0.902832f, 0.909668f, 0.916992f, 0.923340f, - 0.929688f, 0.935547f, 0.941406f, 0.947266f, 0.951660f, 0.957031f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.977051f, 0.976074f, - 0.003536f, 0.010872f, 0.018829f, 0.027893f, 0.037872f, 0.048492f, 0.060883f, 0.073425f, 0.088074f, 0.103638f, 0.120789f, 0.139038f, - 0.159912f, 0.181274f, 0.204102f, 0.227905f, 0.253906f, 0.280518f, 0.307861f, 0.335938f, 0.364746f, 0.393311f, 0.421631f, 0.451416f, - 0.479004f, 0.505859f, 0.533203f, 0.560059f, 0.584473f, 0.608398f, 0.631836f, 0.653320f, 0.674805f, 0.695801f, 0.714355f, 0.731934f, - 0.749512f, 0.765137f, 0.781250f, 0.794434f, 0.808594f, 0.821289f, 0.833496f, 0.844238f, 0.855469f, 0.866211f, 0.875000f, 0.883789f, - 0.892578f, 0.901855f, 0.908691f, 0.915527f, 0.922852f, 0.929199f, 0.935059f, 0.941406f, 0.947266f, 0.951172f, 0.978516f, 0.979004f, - 0.978027f, 0.977051f, 0.975586f, 0.974121f, 0.002989f, 0.009476f, 0.016785f, 0.024246f, 0.032745f, 0.041809f, 0.052246f, 0.063782f, - 0.076111f, 0.089722f, 0.104675f, 0.120605f, 0.138306f, 0.157959f, 0.178101f, 0.200073f, 0.223145f, 0.247192f, 0.273193f, 0.300293f, - 0.327148f, 0.354736f, 0.383545f, 0.411621f, 0.439941f, 0.468018f, 0.495605f, 0.522949f, 0.548828f, 0.574219f, 0.598145f, 0.622559f, - 0.645508f, 0.666016f, 0.687500f, 0.706543f, 0.725586f, 0.743164f, 0.759766f, 0.775391f, 0.791016f, 0.803711f, 0.817871f, 0.829590f, - 0.841797f, 0.852539f, 0.863281f, 0.873047f, 0.882812f, 0.891113f, 0.900391f, 0.906738f, 0.915039f, 0.922852f, 0.929688f, 0.936035f, - 0.941895f, 0.946777f, 0.976074f, 0.977051f, 0.976074f, 0.975586f, 0.974121f, 0.972656f, 0.002846f, 0.008568f, 0.014557f, 0.021484f, - 0.028442f, 0.036377f, 0.045074f, 0.055054f, 0.066101f, 0.077759f, 0.090759f, 0.104797f, 0.120483f, 0.136719f, 0.155029f, 0.175171f, - 0.196045f, 0.218262f, 0.241943f, 0.266357f, 0.292480f, 0.319336f, 0.345703f, 0.373535f, 0.402100f, 0.429932f, 0.457764f, 0.484863f, - 0.512207f, 0.539062f, 0.564941f, 0.589844f, 0.613281f, 0.636719f, 0.659180f, 0.680664f, 0.700684f, 0.718750f, 0.736816f, 0.754883f, - 0.770508f, 0.785645f, 0.799805f, 0.813965f, 0.826172f, 0.838867f, 0.850586f, 0.861328f, 0.871582f, 0.881836f, 0.890625f, 0.898926f, - 0.906738f, 0.915039f, 0.922363f, 0.928711f, 0.936035f, 0.941895f, 0.974609f, 0.975098f, 0.974609f, 0.973633f, 0.972656f, 0.971191f, - 0.002285f, 0.007290f, 0.012634f, 0.018280f, 0.024918f, 0.032074f, 0.039673f, 0.048157f, 0.057220f, 0.067810f, 0.078735f, 0.091248f, - 0.104370f, 0.119873f, 0.135742f, 0.152344f, 0.171631f, 0.191650f, 0.213501f, 0.236206f, 0.260010f, 0.285156f, 0.310547f, 0.338135f, - 0.364746f, 0.392578f, 0.420410f, 0.448242f, 0.476562f, 0.502441f, 0.529785f, 0.555664f, 0.581543f, 0.605469f, 0.629395f, 0.652344f, - 0.673340f, 0.693848f, 0.713867f, 0.732910f, 0.750000f, 0.767090f, 0.782715f, 0.797852f, 0.811035f, 0.825195f, 0.836914f, 0.848633f, - 0.860840f, 0.870605f, 0.880371f, 0.890137f, 0.898926f, 0.907227f, 0.915527f, 0.923340f, 0.929688f, 0.936523f, 0.972168f, 0.973145f, - 0.972656f, 0.972168f, 0.970703f, 0.969727f, 0.002064f, 0.006584f, 0.011154f, 0.016266f, 0.022263f, 0.028397f, 0.034973f, 0.042145f, - 0.050232f, 0.059235f, 0.069031f, 0.079346f, 0.091736f, 0.104553f, 0.118652f, 0.133789f, 0.150635f, 0.168457f, 0.188110f, 0.208984f, - 0.230225f, 0.253906f, 0.278076f, 0.303955f, 0.329346f, 0.356689f, 0.384033f, 0.411865f, 0.439941f, 0.467285f, 0.493896f, 0.520996f, - 0.547363f, 0.573730f, 0.597168f, 0.622559f, 0.645508f, 0.667969f, 0.688965f, 0.709473f, 0.728027f, 0.746094f, 0.762695f, 0.778809f, - 0.794922f, 0.809082f, 0.822754f, 0.834961f, 0.847168f, 0.858887f, 0.870117f, 0.880371f, 0.889648f, 0.898926f, 0.907227f, 0.915039f, - 0.923828f, 0.930176f, 0.970215f, 0.971680f, 0.970215f, 0.970215f, 0.968750f, 0.968262f, 0.001935f, 0.005634f, 0.010078f, 0.014389f, - 0.019669f, 0.024658f, 0.030716f, 0.037201f, 0.044098f, 0.051941f, 0.060333f, 0.070129f, 0.080383f, 0.091370f, 0.103638f, 0.116943f, - 0.131714f, 0.148193f, 0.165161f, 0.183838f, 0.203979f, 0.225220f, 0.247803f, 0.271240f, 0.296631f, 0.322510f, 0.349121f, 0.376221f, - 0.403076f, 0.431152f, 0.458984f, 0.485596f, 0.513672f, 0.540039f, 0.564941f, 0.590820f, 0.616211f, 0.638672f, 0.662109f, 0.683105f, - 0.704102f, 0.723633f, 0.741699f, 0.759766f, 0.776855f, 0.792480f, 0.807617f, 0.821777f, 0.833496f, 0.847168f, 0.858887f, 0.870117f, - 0.880859f, 0.889648f, 0.899414f, 0.908203f, 0.916992f, 0.924316f, 0.967285f, 0.968262f, 0.968750f, 0.968262f, 0.967285f, 0.966309f, - 0.001805f, 0.005119f, 0.009079f, 0.013023f, 0.017487f, 0.022278f, 0.027130f, 0.032684f, 0.038666f, 0.045959f, 0.052826f, 0.061401f, - 0.070801f, 0.080139f, 0.090698f, 0.102844f, 0.115845f, 0.130005f, 0.145264f, 0.162476f, 0.180176f, 0.199951f, 0.220459f, 0.242188f, - 0.265869f, 0.290283f, 0.315430f, 0.341309f, 0.368652f, 0.395752f, 0.423584f, 0.451416f, 0.479248f, 0.505859f, 0.532227f, 0.559082f, - 0.584961f, 0.609863f, 0.634277f, 0.656738f, 0.678711f, 0.700195f, 0.720703f, 0.738281f, 0.757324f, 0.774414f, 0.790527f, 0.805664f, - 0.820312f, 0.834473f, 0.846680f, 0.858887f, 0.869629f, 0.880859f, 0.890625f, 0.899902f, 0.909668f, 0.917969f, 0.964844f, 0.966797f, - 0.967285f, 0.965820f, 0.964844f, 0.963867f, 0.001437f, 0.004662f, 0.007919f, 0.011681f, 0.015404f, 0.019272f, 0.024261f, 0.029205f, - 0.034515f, 0.040619f, 0.046967f, 0.054138f, 0.061737f, 0.070496f, 0.080200f, 0.090271f, 0.101807f, 0.114136f, 0.127686f, 0.143188f, - 0.159058f, 0.176514f, 0.195190f, 0.215454f, 0.237305f, 0.260010f, 0.283936f, 0.309326f, 0.334717f, 0.361328f, 0.389160f, 0.416260f, - 0.444336f, 0.471436f, 0.499512f, 0.525879f, 0.552734f, 0.579590f, 0.604004f, 0.628906f, 0.651855f, 0.674805f, 0.696777f, 0.717773f, - 0.737305f, 0.755859f, 0.772949f, 0.789551f, 0.805664f, 0.819336f, 0.833984f, 0.847168f, 0.859375f, 0.871094f, 0.881836f, 0.892090f, - 0.902344f, 0.910156f, 0.962402f, 0.964355f, 0.964355f, 0.963867f, 0.962891f, 0.961914f, 0.001264f, 0.004036f, 0.007088f, 0.010170f, - 0.013672f, 0.017365f, 0.021423f, 0.025955f, 0.030533f, 0.035614f, 0.041321f, 0.047791f, 0.054626f, 0.062195f, 0.070679f, 0.080017f, - 0.089600f, 0.100769f, 0.112854f, 0.125977f, 0.139893f, 0.156128f, 0.172852f, 0.191650f, 0.211060f, 0.232056f, 0.254883f, 0.278076f, - 0.302979f, 0.328125f, 0.355225f, 0.381836f, 0.409912f, 0.437256f, 0.464844f, 0.492676f, 0.520508f, 0.547852f, 0.573242f, 0.599609f, - 0.625000f, 0.649414f, 0.672363f, 0.694336f, 0.714844f, 0.734863f, 0.753418f, 0.771484f, 0.788574f, 0.804688f, 0.820312f, 0.833496f, - 0.847656f, 0.859863f, 0.873047f, 0.883301f, 0.894043f, 0.903809f, 0.959961f, 0.961914f, 0.962402f, 0.960938f, 0.960449f, 0.959961f, - 0.001297f, 0.003721f, 0.006397f, 0.009308f, 0.012260f, 0.015808f, 0.019302f, 0.023010f, 0.027267f, 0.032013f, 0.037109f, 0.042419f, - 0.048523f, 0.054962f, 0.061920f, 0.070435f, 0.079407f, 0.088318f, 0.099121f, 0.111084f, 0.124023f, 0.137695f, 0.152832f, 0.169434f, - 0.187378f, 0.206421f, 0.227783f, 0.249268f, 0.272461f, 0.297363f, 0.322754f, 0.348389f, 0.376221f, 0.403809f, 0.431396f, 0.459229f, - 0.487305f, 0.515137f, 0.542480f, 0.569336f, 0.595215f, 0.621094f, 0.645996f, 0.669434f, 0.691406f, 0.712891f, 0.733887f, 0.753418f, - 0.770996f, 0.789062f, 0.805176f, 0.820801f, 0.835449f, 0.849121f, 0.861328f, 0.874512f, 0.885742f, 0.895508f, 0.956543f, 0.959473f, - 0.958984f, 0.958984f, 0.958008f, 0.957031f, 0.001267f, 0.003481f, 0.005955f, 0.008568f, 0.011185f, 0.014030f, 0.017151f, 0.020294f, - 0.024246f, 0.028427f, 0.032654f, 0.037476f, 0.042603f, 0.048523f, 0.054871f, 0.062408f, 0.070129f, 0.078552f, 0.087769f, 0.097534f, - 0.109192f, 0.121399f, 0.135010f, 0.150513f, 0.165894f, 0.183960f, 0.202881f, 0.222656f, 0.244385f, 0.267334f, 0.291260f, 0.317139f, - 0.343506f, 0.370605f, 0.397949f, 0.426025f, 0.454346f, 0.482666f, 0.511230f, 0.538086f, 0.565918f, 0.592285f, 0.618164f, 0.642578f, - 0.667480f, 0.690918f, 0.711914f, 0.732910f, 0.752930f, 0.771484f, 0.790039f, 0.806641f, 0.821777f, 0.837402f, 0.850586f, 0.864746f, - 0.875977f, 0.887695f, 0.953613f, 0.956543f, 0.957031f, 0.956055f, 0.956055f, 0.955078f, 0.001068f, 0.003025f, 0.005283f, 0.007442f, - 0.009857f, 0.012665f, 0.015930f, 0.018570f, 0.021820f, 0.025314f, 0.028931f, 0.033325f, 0.038147f, 0.042908f, 0.049011f, 0.055176f, - 0.061859f, 0.069397f, 0.077637f, 0.086792f, 0.096252f, 0.107117f, 0.119385f, 0.132690f, 0.147095f, 0.162720f, 0.180054f, 0.198486f, - 0.218384f, 0.239990f, 0.262207f, 0.287109f, 0.311523f, 0.337891f, 0.364990f, 0.392822f, 0.420654f, 0.449219f, 0.478027f, 0.505859f, - 0.535156f, 0.562012f, 0.588867f, 0.615723f, 0.641602f, 0.666016f, 0.688965f, 0.711914f, 0.732910f, 0.753906f, 0.773438f, 0.791016f, - 0.808594f, 0.823730f, 0.839355f, 0.854004f, 0.867188f, 0.879883f, 0.950195f, 0.954102f, 0.954102f, 0.953125f, 0.952637f, 0.952148f, - 0.000884f, 0.003082f, 0.004631f, 0.006931f, 0.008942f, 0.011513f, 0.013779f, 0.016663f, 0.019806f, 0.022934f, 0.026215f, 0.029999f, - 0.033813f, 0.038544f, 0.043365f, 0.048615f, 0.054352f, 0.061005f, 0.068420f, 0.076477f, 0.085022f, 0.095032f, 0.105469f, 0.117432f, - 0.130127f, 0.143799f, 0.159790f, 0.176270f, 0.194580f, 0.214478f, 0.235229f, 0.257568f, 0.281982f, 0.306641f, 0.332764f, 0.359863f, - 0.388184f, 0.416016f, 0.445557f, 0.474854f, 0.502441f, 0.531738f, 0.559570f, 0.586914f, 0.614258f, 0.640625f, 0.665039f, 0.689453f, - 0.712891f, 0.734863f, 0.755371f, 0.774902f, 0.793945f, 0.810547f, 0.827637f, 0.842773f, 0.857910f, 0.871094f, 0.946777f, 0.950684f, - 0.951172f, 0.950684f, 0.949707f, 0.949707f, 0.000848f, 0.002630f, 0.004330f, 0.006386f, 0.008148f, 0.010437f, 0.012436f, 0.014977f, - 0.017731f, 0.020645f, 0.023529f, 0.026413f, 0.030289f, 0.034302f, 0.038391f, 0.043365f, 0.048737f, 0.054413f, 0.060455f, 0.067383f, - 0.075134f, 0.083801f, 0.093262f, 0.103821f, 0.114746f, 0.127441f, 0.140991f, 0.156372f, 0.172729f, 0.190918f, 0.210449f, 0.231201f, - 0.253662f, 0.277344f, 0.302734f, 0.328857f, 0.355225f, 0.384033f, 0.413086f, 0.440918f, 0.471191f, 0.500488f, 0.529785f, 0.558594f, - 0.586426f, 0.613770f, 0.640137f, 0.666016f, 0.689453f, 0.714355f, 0.736328f, 0.757812f, 0.777832f, 0.796875f, 0.813965f, 0.831543f, - 0.847168f, 0.860840f, 0.943848f, 0.948242f, 0.947754f, 0.948242f, 0.946777f, 0.946777f, 0.000747f, 0.002462f, 0.004192f, 0.005573f, - 0.007454f, 0.009430f, 0.011253f, 0.013588f, 0.015762f, 0.018112f, 0.020859f, 0.023758f, 0.027084f, 0.030426f, 0.034332f, 0.038635f, - 0.042999f, 0.048340f, 0.053772f, 0.060028f, 0.066589f, 0.074402f, 0.082764f, 0.091553f, 0.101685f, 0.112854f, 0.125122f, 0.138184f, - 0.153320f, 0.169556f, 0.187500f, 0.206543f, 0.227539f, 0.249512f, 0.273193f, 0.298340f, 0.324463f, 0.351562f, 0.379883f, 0.409424f, - 0.438477f, 0.468750f, 0.498047f, 0.527832f, 0.556641f, 0.585449f, 0.614258f, 0.641113f, 0.666992f, 0.692383f, 0.716309f, 0.738281f, - 0.760742f, 0.780273f, 0.799805f, 0.818848f, 0.834473f, 0.851074f, 0.939941f, 0.944824f, 0.944336f, 0.944336f, 0.944336f, 0.943359f, - 0.000670f, 0.002079f, 0.003538f, 0.005146f, 0.006508f, 0.008247f, 0.010223f, 0.012260f, 0.014153f, 0.016479f, 0.018677f, 0.021515f, - 0.024323f, 0.027313f, 0.030518f, 0.034302f, 0.038422f, 0.042725f, 0.047760f, 0.053101f, 0.059113f, 0.065613f, 0.072937f, 0.080444f, - 0.089722f, 0.099426f, 0.110596f, 0.122314f, 0.135742f, 0.150513f, 0.166260f, 0.183716f, 0.202759f, 0.223633f, 0.245728f, 0.269287f, - 0.294189f, 0.320557f, 0.348633f, 0.376709f, 0.406494f, 0.436523f, 0.467285f, 0.497070f, 0.528320f, 0.557129f, 0.586426f, 0.614746f, - 0.642090f, 0.668945f, 0.694824f, 0.718750f, 0.742676f, 0.764648f, 0.786133f, 0.805176f, 0.823242f, 0.840820f, 0.936035f, 0.940918f, - 0.941406f, 0.941406f, 0.940430f, 0.939941f, 0.000645f, 0.001963f, 0.003384f, 0.004719f, 0.006042f, 0.007614f, 0.009384f, 0.011192f, - 0.012665f, 0.015083f, 0.016861f, 0.019165f, 0.021393f, 0.024445f, 0.027451f, 0.030716f, 0.034149f, 0.038116f, 0.042389f, 0.047028f, - 0.052277f, 0.058014f, 0.064270f, 0.071289f, 0.079041f, 0.087830f, 0.097351f, 0.108337f, 0.119995f, 0.132812f, 0.147217f, 0.163452f, - 0.180420f, 0.199585f, 0.219849f, 0.242065f, 0.265625f, 0.291260f, 0.318115f, 0.345703f, 0.375000f, 0.404541f, 0.434326f, 0.465820f, - 0.496582f, 0.526855f, 0.557617f, 0.587402f, 0.616699f, 0.645508f, 0.672363f, 0.698242f, 0.723145f, 0.747559f, 0.770020f, 0.791504f, - 0.810059f, 0.828613f, 0.931641f, 0.937012f, 0.937500f, 0.937500f, 0.937012f, 0.936523f, 0.000692f, 0.001705f, 0.003000f, 0.004238f, - 0.005798f, 0.006805f, 0.008659f, 0.009933f, 0.011681f, 0.013191f, 0.015259f, 0.017166f, 0.019379f, 0.021729f, 0.024796f, 0.027328f, - 0.030380f, 0.033661f, 0.037598f, 0.041718f, 0.046539f, 0.051270f, 0.056946f, 0.062988f, 0.069885f, 0.077271f, 0.085999f, 0.095398f, - 0.105652f, 0.117859f, 0.129883f, 0.144409f, 0.159912f, 0.177002f, 0.196045f, 0.216553f, 0.239014f, 0.262451f, 0.288086f, 0.314941f, - 0.343262f, 0.372314f, 0.403076f, 0.433594f, 0.465332f, 0.496826f, 0.527832f, 0.559082f, 0.589355f, 0.619629f, 0.648926f, 0.676758f, - 0.703125f, 0.728516f, 0.752930f, 0.775391f, 0.797363f, 0.817871f, 0.927246f, 0.933105f, 0.934082f, 0.933594f, 0.933594f, 0.933105f, - 0.000460f, 0.001622f, 0.002705f, 0.003983f, 0.004925f, 0.006363f, 0.007652f, 0.008965f, 0.010521f, 0.011963f, 0.013664f, 0.015480f, - 0.017258f, 0.019440f, 0.021912f, 0.024338f, 0.027084f, 0.030212f, 0.033356f, 0.037018f, 0.040833f, 0.045380f, 0.050110f, 0.055573f, - 0.061829f, 0.068359f, 0.075928f, 0.083984f, 0.093140f, 0.103333f, 0.115112f, 0.127441f, 0.141602f, 0.156982f, 0.174316f, 0.192871f, - 0.213257f, 0.235596f, 0.259766f, 0.285400f, 0.312256f, 0.341797f, 0.371094f, 0.402100f, 0.434082f, 0.465332f, 0.497314f, 0.529297f, - 0.562012f, 0.592773f, 0.623535f, 0.652832f, 0.681641f, 0.709473f, 0.735352f, 0.759766f, 0.783203f, 0.803711f, 0.922363f, 0.929199f, - 0.929688f, 0.929199f, 0.929688f, 0.928711f, 0.000341f, 0.001686f, 0.002537f, 0.003769f, 0.004745f, 0.005764f, 0.007034f, 0.008286f, - 0.009369f, 0.010742f, 0.012161f, 0.013931f, 0.015671f, 0.017563f, 0.019440f, 0.021851f, 0.024231f, 0.026672f, 0.029556f, 0.032776f, - 0.036255f, 0.040283f, 0.044464f, 0.049194f, 0.054413f, 0.060059f, 0.066589f, 0.074036f, 0.081909f, 0.091187f, 0.100769f, 0.112000f, - 0.124512f, 0.139038f, 0.154297f, 0.171265f, 0.189819f, 0.210571f, 0.232788f, 0.257324f, 0.283203f, 0.311035f, 0.339844f, 0.370850f, - 0.402100f, 0.433838f, 0.466797f, 0.499268f, 0.532227f, 0.565430f, 0.598145f, 0.628418f, 0.659180f, 0.687988f, 0.715820f, 0.742188f, - 0.767090f, 0.791504f, 0.917969f, 0.924805f, 0.925293f, 0.925293f, 0.924805f, 0.924805f, 0.000405f, 0.001282f, 0.002298f, 0.003269f, - 0.004448f, 0.005043f, 0.006294f, 0.007233f, 0.008606f, 0.009727f, 0.010849f, 0.012421f, 0.013885f, 0.015465f, 0.017426f, 0.019394f, - 0.021667f, 0.023819f, 0.026154f, 0.029175f, 0.032227f, 0.035706f, 0.039062f, 0.043427f, 0.047913f, 0.052856f, 0.058502f, 0.064880f, - 0.071960f, 0.079895f, 0.088867f, 0.098633f, 0.109619f, 0.122192f, 0.135742f, 0.151489f, 0.168457f, 0.187134f, 0.207764f, 0.230835f, - 0.254883f, 0.281494f, 0.310059f, 0.339355f, 0.370361f, 0.402588f, 0.435547f, 0.468994f, 0.502930f, 0.537109f, 0.569824f, 0.602051f, - 0.634766f, 0.665527f, 0.695801f, 0.724121f, 0.750488f, 0.776855f, 0.912598f, 0.919434f, 0.920410f, 0.920410f, 0.919922f, 0.920410f, - 0.000529f, 0.001217f, 0.002171f, 0.003035f, 0.003790f, 0.004784f, 0.005711f, 0.006756f, 0.007782f, 0.008987f, 0.009773f, 0.011185f, - 0.012650f, 0.013771f, 0.015656f, 0.017181f, 0.018890f, 0.021057f, 0.023239f, 0.025848f, 0.028488f, 0.031525f, 0.034607f, 0.038147f, - 0.042023f, 0.046539f, 0.051605f, 0.056793f, 0.063049f, 0.069946f, 0.078064f, 0.086548f, 0.096313f, 0.107117f, 0.119446f, 0.133301f, - 0.148560f, 0.165405f, 0.184570f, 0.205811f, 0.228394f, 0.253174f, 0.280029f, 0.308594f, 0.339111f, 0.370605f, 0.404053f, 0.437988f, - 0.471680f, 0.506348f, 0.541504f, 0.576172f, 0.609375f, 0.642578f, 0.674316f, 0.705078f, 0.734375f, 0.761719f, 0.907227f, 0.914062f, - 0.915527f, 0.915527f, 0.916016f, 0.915039f, 0.000402f, 0.001247f, 0.001841f, 0.002651f, 0.003414f, 0.004200f, 0.005337f, 0.005821f, - 0.006733f, 0.008041f, 0.008942f, 0.010201f, 0.011261f, 0.012749f, 0.013893f, 0.015472f, 0.016663f, 0.018829f, 0.020615f, 0.022873f, - 0.025299f, 0.027893f, 0.030533f, 0.033600f, 0.037140f, 0.040924f, 0.044983f, 0.049927f, 0.055359f, 0.061340f, 0.068176f, 0.075500f, - 0.084106f, 0.093933f, 0.104370f, 0.116638f, 0.130249f, 0.145996f, 0.162842f, 0.181885f, 0.203735f, 0.226562f, 0.251465f, 0.279297f, - 0.308594f, 0.339355f, 0.373047f, 0.406982f, 0.440918f, 0.477051f, 0.511719f, 0.548340f, 0.583496f, 0.618164f, 0.652344f, 0.684570f, - 0.715332f, 0.745605f, 0.901855f, 0.909180f, 0.910156f, 0.910645f, 0.910156f, 0.910156f, 0.000371f, 0.001090f, 0.001752f, 0.002409f, - 0.003042f, 0.003963f, 0.004898f, 0.005295f, 0.006077f, 0.006992f, 0.008102f, 0.009338f, 0.010101f, 0.011078f, 0.012375f, 0.013718f, - 0.015099f, 0.016403f, 0.018402f, 0.020203f, 0.022354f, 0.024475f, 0.026825f, 0.029388f, 0.032623f, 0.035522f, 0.039429f, 0.043762f, - 0.048462f, 0.053558f, 0.059265f, 0.065552f, 0.073120f, 0.081787f, 0.091431f, 0.102112f, 0.114136f, 0.127930f, 0.143066f, 0.160767f, - 0.179810f, 0.200928f, 0.224854f, 0.250732f, 0.279053f, 0.308838f, 0.340820f, 0.374756f, 0.410156f, 0.446045f, 0.482666f, 0.520020f, - 0.556152f, 0.593262f, 0.628906f, 0.663574f, 0.695801f, 0.728027f, 0.895508f, 0.903809f, 0.904297f, 0.904297f, 0.904297f, 0.904785f, - 0.000425f, 0.000937f, 0.001529f, 0.002129f, 0.002674f, 0.003696f, 0.004257f, 0.004990f, 0.005726f, 0.006161f, 0.007118f, 0.007919f, - 0.009109f, 0.009941f, 0.011055f, 0.011993f, 0.013191f, 0.014832f, 0.016281f, 0.017868f, 0.019562f, 0.021362f, 0.023514f, 0.025909f, - 0.028549f, 0.031189f, 0.034637f, 0.037994f, 0.042145f, 0.046570f, 0.051453f, 0.057129f, 0.063965f, 0.070984f, 0.079285f, 0.088806f, - 0.099426f, 0.111267f, 0.125366f, 0.140747f, 0.158203f, 0.178101f, 0.199585f, 0.223755f, 0.250732f, 0.279297f, 0.310059f, 0.343994f, - 0.377686f, 0.414307f, 0.451904f, 0.489258f, 0.527832f, 0.565918f, 0.603027f, 0.640137f, 0.675781f, 0.710449f, 0.888672f, 0.897461f, - 0.899902f, 0.900391f, 0.899414f, 0.899414f, 0.000317f, 0.000823f, 0.001386f, 0.002108f, 0.002684f, 0.003239f, 0.003883f, 0.004303f, - 0.004730f, 0.005569f, 0.006626f, 0.007214f, 0.008003f, 0.008865f, 0.009590f, 0.010948f, 0.011856f, 0.012871f, 0.014381f, 0.015640f, - 0.017075f, 0.018799f, 0.020569f, 0.022537f, 0.024704f, 0.027405f, 0.030090f, 0.033142f, 0.036346f, 0.040436f, 0.044830f, 0.049835f, - 0.055450f, 0.061584f, 0.068665f, 0.076904f, 0.086060f, 0.096741f, 0.109192f, 0.122559f, 0.138428f, 0.155762f, 0.176270f, 0.198242f, - 0.223145f, 0.250244f, 0.280518f, 0.312500f, 0.346680f, 0.382324f, 0.420410f, 0.458740f, 0.498779f, 0.538086f, 0.577637f, 0.616211f, - 0.654297f, 0.690918f, 0.881348f, 0.890625f, 0.892578f, 0.893066f, 0.893066f, 0.892578f, 0.000385f, 0.000766f, 0.001544f, 0.001925f, - 0.002359f, 0.002947f, 0.003176f, 0.003691f, 0.004288f, 0.005215f, 0.005917f, 0.006214f, 0.007019f, 0.007843f, 0.008469f, 0.009598f, - 0.010345f, 0.011559f, 0.012497f, 0.013634f, 0.014992f, 0.016373f, 0.017853f, 0.019608f, 0.021515f, 0.023788f, 0.026260f, 0.028931f, - 0.031860f, 0.034912f, 0.038635f, 0.042633f, 0.047638f, 0.053070f, 0.059540f, 0.066284f, 0.074524f, 0.083679f, 0.094177f, 0.106445f, - 0.120361f, 0.135620f, 0.154053f, 0.174072f, 0.197144f, 0.222900f, 0.251221f, 0.281982f, 0.315430f, 0.351318f, 0.388672f, 0.427734f, - 0.468506f, 0.508301f, 0.549805f, 0.591309f, 0.631348f, 0.670410f, 0.874512f, 0.884766f, 0.885742f, 0.886230f, 0.886230f, 0.886230f, - 0.000230f, 0.000832f, 0.001281f, 0.001865f, 0.002207f, 0.002605f, 0.003212f, 0.003284f, 0.004124f, 0.004597f, 0.005222f, 0.005703f, - 0.006260f, 0.007095f, 0.007790f, 0.008377f, 0.009010f, 0.010078f, 0.011009f, 0.011925f, 0.013153f, 0.014282f, 0.015610f, 0.017151f, - 0.018951f, 0.020416f, 0.022583f, 0.024826f, 0.027328f, 0.030136f, 0.033508f, 0.036835f, 0.040985f, 0.045410f, 0.050812f, 0.056854f, - 0.063965f, 0.071777f, 0.081177f, 0.091858f, 0.103699f, 0.117615f, 0.133423f, 0.152588f, 0.172974f, 0.196777f, 0.222900f, 0.252686f, - 0.284912f, 0.319824f, 0.356934f, 0.395996f, 0.436768f, 0.478516f, 0.521484f, 0.564453f, 0.607422f, 0.649414f, 0.866699f, 0.876953f, - 0.877930f, 0.879395f, 0.879883f, 0.878418f, 0.000228f, 0.000734f, 0.000993f, 0.001416f, 0.001935f, 0.002293f, 0.002541f, 0.003174f, - 0.003508f, 0.004040f, 0.004337f, 0.005039f, 0.005505f, 0.006054f, 0.006840f, 0.007366f, 0.008041f, 0.008644f, 0.009544f, 0.010460f, - 0.011238f, 0.012329f, 0.013542f, 0.014755f, 0.016083f, 0.017624f, 0.019424f, 0.021408f, 0.023422f, 0.025803f, 0.028366f, 0.031311f, - 0.034912f, 0.039124f, 0.043304f, 0.048492f, 0.054291f, 0.061188f, 0.069397f, 0.078552f, 0.089233f, 0.101074f, 0.115540f, 0.131226f, - 0.150757f, 0.172119f, 0.196533f, 0.224243f, 0.254883f, 0.288574f, 0.324707f, 0.364014f, 0.405029f, 0.447510f, 0.491699f, 0.536133f, - 0.581543f, 0.627441f, 0.858398f, 0.869141f, 0.870605f, 0.871582f, 0.871094f, 0.871582f, 0.000118f, 0.000713f, 0.000985f, 0.001328f, - 0.001612f, 0.001999f, 0.002399f, 0.002913f, 0.003139f, 0.003567f, 0.004055f, 0.004406f, 0.004986f, 0.005226f, 0.005856f, 0.006332f, - 0.007042f, 0.007553f, 0.008286f, 0.009064f, 0.009834f, 0.010696f, 0.011658f, 0.012726f, 0.013817f, 0.015289f, 0.016693f, 0.018265f, - 0.019699f, 0.021835f, 0.024307f, 0.026642f, 0.029770f, 0.033234f, 0.037048f, 0.041351f, 0.046478f, 0.052032f, 0.058960f, 0.066589f, - 0.075745f, 0.086182f, 0.099121f, 0.113037f, 0.129517f, 0.149048f, 0.171387f, 0.196899f, 0.225464f, 0.257812f, 0.293457f, 0.331787f, - 0.373291f, 0.416748f, 0.460938f, 0.507812f, 0.554688f, 0.602051f, 0.849609f, 0.859863f, 0.862793f, 0.863281f, 0.862793f, 0.862793f, - 0.000211f, 0.000522f, 0.000877f, 0.001204f, 0.001507f, 0.001724f, 0.002062f, 0.002426f, 0.002867f, 0.003157f, 0.003443f, 0.003752f, - 0.004192f, 0.004753f, 0.005154f, 0.005428f, 0.006065f, 0.006546f, 0.007210f, 0.007725f, 0.008530f, 0.009247f, 0.010025f, 0.010887f, - 0.011909f, 0.012970f, 0.014069f, 0.015335f, 0.017105f, 0.018433f, 0.020554f, 0.022552f, 0.025116f, 0.027802f, 0.031158f, 0.034485f, - 0.038971f, 0.044037f, 0.049469f, 0.055847f, 0.063843f, 0.072815f, 0.083618f, 0.095947f, 0.110840f, 0.128174f, 0.147949f, 0.171387f, - 0.198242f, 0.228271f, 0.262207f, 0.299805f, 0.340332f, 0.384277f, 0.430176f, 0.477295f, 0.527344f, 0.577637f, 0.839844f, 0.851074f, - 0.853516f, 0.854492f, 0.854980f, 0.854980f, 0.000218f, 0.000479f, 0.000706f, 0.001109f, 0.001245f, 0.001763f, 0.001800f, 0.002211f, - 0.002377f, 0.002783f, 0.003103f, 0.003223f, 0.003782f, 0.004089f, 0.004326f, 0.004711f, 0.005306f, 0.005569f, 0.006199f, 0.006653f, - 0.007168f, 0.007919f, 0.008560f, 0.009254f, 0.009979f, 0.010872f, 0.012054f, 0.012810f, 0.014221f, 0.015793f, 0.017181f, 0.018967f, - 0.021088f, 0.023361f, 0.026001f, 0.028915f, 0.032257f, 0.036469f, 0.040924f, 0.046875f, 0.053375f, 0.061218f, 0.070435f, 0.080811f, - 0.093628f, 0.108704f, 0.126709f, 0.147461f, 0.172241f, 0.199951f, 0.232788f, 0.268799f, 0.308594f, 0.351562f, 0.397705f, 0.447266f, - 0.498291f, 0.550293f, 0.830078f, 0.841797f, 0.843750f, 0.845215f, 0.845215f, 0.845703f, 0.000139f, 0.000379f, 0.000704f, 0.000896f, - 0.001095f, 0.001392f, 0.001649f, 0.002058f, 0.002235f, 0.002483f, 0.002621f, 0.002878f, 0.003214f, 0.003580f, 0.003820f, 0.004055f, - 0.004498f, 0.004791f, 0.005173f, 0.005692f, 0.006145f, 0.006691f, 0.007175f, 0.007874f, 0.008499f, 0.009239f, 0.010117f, 0.011032f, - 0.011864f, 0.012901f, 0.014282f, 0.015701f, 0.017242f, 0.019516f, 0.021469f, 0.024002f, 0.026749f, 0.029953f, 0.034027f, 0.038727f, - 0.044250f, 0.050568f, 0.058136f, 0.067139f, 0.078247f, 0.091614f, 0.106689f, 0.125366f, 0.147339f, 0.172974f, 0.202881f, 0.237671f, - 0.275879f, 0.318359f, 0.365234f, 0.415283f, 0.468018f, 0.521973f, 0.819336f, 0.832031f, 0.834473f, 0.834961f, 0.835449f, 0.835938f, - 0.000115f, 0.000396f, 0.000688f, 0.000885f, 0.000917f, 0.001393f, 0.001478f, 0.001590f, 0.001944f, 0.002123f, 0.002291f, 0.002644f, - 0.002666f, 0.003023f, 0.003197f, 0.003546f, 0.003714f, 0.004246f, 0.004551f, 0.004837f, 0.005108f, 0.005577f, 0.006054f, 0.006504f, - 0.007023f, 0.007633f, 0.008362f, 0.009148f, 0.009926f, 0.010742f, 0.011917f, 0.013062f, 0.014351f, 0.015991f, 0.017639f, 0.019455f, - 0.021729f, 0.024689f, 0.027740f, 0.031708f, 0.036102f, 0.041260f, 0.047882f, 0.055450f, 0.064392f, 0.075500f, 0.088928f, 0.104797f, - 0.124756f, 0.147949f, 0.175415f, 0.207275f, 0.244507f, 0.286133f, 0.332520f, 0.381836f, 0.436279f, 0.492432f, 0.808105f, 0.821289f, - 0.822754f, 0.824707f, 0.825195f, 0.824219f, 0.000209f, 0.000435f, 0.000493f, 0.000669f, 0.001040f, 0.001076f, 0.001254f, 0.001398f, - 0.001603f, 0.001697f, 0.001987f, 0.002140f, 0.002268f, 0.002472f, 0.002769f, 0.002991f, 0.003302f, 0.003572f, 0.003685f, 0.004002f, - 0.004337f, 0.004654f, 0.005062f, 0.005379f, 0.005871f, 0.006363f, 0.006733f, 0.007416f, 0.008102f, 0.008812f, 0.009727f, 0.010689f, - 0.011566f, 0.013145f, 0.014053f, 0.015762f, 0.017899f, 0.020096f, 0.022552f, 0.025528f, 0.028992f, 0.033325f, 0.038635f, 0.044952f, - 0.052582f, 0.061554f, 0.072998f, 0.086670f, 0.103577f, 0.124329f, 0.148804f, 0.178467f, 0.213501f, 0.253174f, 0.298828f, 0.348877f, - 0.403076f, 0.461914f, 0.795898f, 0.809570f, 0.812012f, 0.813477f, 0.813477f, 0.814453f, 0.000243f, 0.000322f, 0.000466f, 0.000710f, - 0.000863f, 0.000942f, 0.001051f, 0.001182f, 0.001369f, 0.001451f, 0.001716f, 0.001851f, 0.001968f, 0.002192f, 0.002323f, 0.002470f, - 0.002773f, 0.002850f, 0.003056f, 0.003399f, 0.003624f, 0.003832f, 0.004192f, 0.004467f, 0.004955f, 0.005276f, 0.005772f, 0.006084f, - 0.006672f, 0.007191f, 0.007828f, 0.008720f, 0.009575f, 0.010292f, 0.011505f, 0.012535f, 0.014114f, 0.016006f, 0.017838f, 0.020462f, - 0.023193f, 0.026489f, 0.030807f, 0.035858f, 0.041840f, 0.049652f, 0.059174f, 0.070435f, 0.084839f, 0.102783f, 0.124146f, 0.151489f, - 0.183472f, 0.221802f, 0.265137f, 0.315186f, 0.369629f, 0.430664f, 0.782715f, 0.796875f, 0.799805f, 0.800293f, 0.801758f, 0.801758f, - 0.000119f, 0.000369f, 0.000340f, 0.000595f, 0.000667f, 0.000841f, 0.001010f, 0.001086f, 0.001179f, 0.001225f, 0.001494f, 0.001555f, - 0.001654f, 0.001754f, 0.001965f, 0.002142f, 0.002197f, 0.002432f, 0.002619f, 0.002811f, 0.003021f, 0.003139f, 0.003567f, 0.003708f, - 0.004066f, 0.004360f, 0.004612f, 0.005123f, 0.005489f, 0.005878f, 0.006306f, 0.006824f, 0.007576f, 0.008286f, 0.008949f, 0.010155f, - 0.011322f, 0.012756f, 0.014046f, 0.015976f, 0.018250f, 0.020874f, 0.024094f, 0.027878f, 0.032867f, 0.039154f, 0.046509f, 0.055908f, - 0.068054f, 0.082886f, 0.102356f, 0.125732f, 0.155029f, 0.190674f, 0.232422f, 0.281006f, 0.335693f, 0.397949f, 0.770020f, 0.783691f, - 0.786621f, 0.787598f, 0.788086f, 0.789551f, 0.000000f, 0.000220f, 0.000275f, 0.000562f, 0.000618f, 0.000683f, 0.000733f, 0.000761f, - 0.000966f, 0.001022f, 0.001184f, 0.001237f, 0.001382f, 0.001552f, 0.001688f, 0.001724f, 0.001918f, 0.002024f, 0.002115f, 0.002243f, - 0.002403f, 0.002718f, 0.002840f, 0.003052f, 0.003330f, 0.003508f, 0.003860f, 0.004097f, 0.004314f, 0.004719f, 0.005074f, 0.005535f, - 0.006058f, 0.006584f, 0.007168f, 0.007874f, 0.008759f, 0.009651f, 0.011086f, 0.012459f, 0.013992f, 0.015945f, 0.018433f, 0.021408f, - 0.025192f, 0.029861f, 0.035950f, 0.043396f, 0.053406f, 0.065735f, 0.082031f, 0.102234f, 0.128052f, 0.160645f, 0.200073f, 0.247192f, - 0.301025f, 0.363281f, 0.755371f, 0.770996f, 0.772949f, 0.773926f, 0.775879f, 0.775879f, 0.000216f, 0.000102f, 0.000381f, 0.000487f, - 0.000429f, 0.000552f, 0.000579f, 0.000788f, 0.000804f, 0.000854f, 0.000937f, 0.000996f, 0.001078f, 0.001218f, 0.001315f, 0.001499f, - 0.001532f, 0.001642f, 0.001805f, 0.001825f, 0.002077f, 0.002178f, 0.002312f, 0.002396f, 0.002575f, 0.002735f, 0.002947f, 0.003317f, - 0.003428f, 0.003721f, 0.004185f, 0.004379f, 0.004704f, 0.005253f, 0.005650f, 0.006145f, 0.006870f, 0.007515f, 0.008415f, 0.009430f, - 0.010612f, 0.012093f, 0.013954f, 0.016052f, 0.018967f, 0.022476f, 0.027115f, 0.032898f, 0.040649f, 0.050690f, 0.063599f, 0.080811f, - 0.103210f, 0.132202f, 0.168823f, 0.213501f, 0.266602f, 0.329102f, 0.740234f, 0.756348f, 0.758789f, 0.760254f, 0.761230f, 0.761230f, - 0.000179f, 0.000181f, 0.000180f, 0.000289f, 0.000413f, 0.000458f, 0.000497f, 0.000620f, 0.000646f, 0.000688f, 0.000830f, 0.000868f, - 0.000904f, 0.000981f, 0.001024f, 0.001178f, 0.001146f, 0.001302f, 0.001382f, 0.001523f, 0.001679f, 0.001737f, 0.001824f, 0.001959f, - 0.002195f, 0.002283f, 0.002438f, 0.002579f, 0.002703f, 0.002939f, 0.003181f, 0.003454f, 0.003677f, 0.004051f, 0.004395f, 0.004738f, - 0.005283f, 0.005783f, 0.006420f, 0.007095f, 0.007988f, 0.009094f, 0.010384f, 0.011955f, 0.013939f, 0.016434f, 0.019836f, 0.024292f, - 0.030029f, 0.037659f, 0.048065f, 0.061890f, 0.080811f, 0.105774f, 0.138672f, 0.180542f, 0.231934f, 0.293213f, 0.724121f, 0.740234f, - 0.744141f, 0.745117f, 0.745605f, 0.746094f, 0.000000f, 0.000056f, 0.000263f, 0.000339f, 0.000369f, 0.000357f, 0.000376f, 0.000508f, - 0.000519f, 0.000558f, 0.000581f, 0.000678f, 0.000767f, 0.000775f, 0.000905f, 0.000849f, 0.000992f, 0.000942f, 0.001192f, 0.001169f, - 0.001204f, 0.001375f, 0.001439f, 0.001532f, 0.001634f, 0.001676f, 0.001799f, 0.001904f, 0.002165f, 0.002262f, 0.002377f, 0.002611f, - 0.002836f, 0.003103f, 0.003321f, 0.003550f, 0.004005f, 0.004356f, 0.004772f, 0.005295f, 0.005962f, 0.006756f, 0.007690f, 0.008690f, - 0.010078f, 0.011871f, 0.014252f, 0.017242f, 0.021393f, 0.027100f, 0.034851f, 0.046051f, 0.060455f, 0.081848f, 0.110474f, 0.148682f, - 0.197632f, 0.257568f, 0.706543f, 0.724121f, 0.727539f, 0.729492f, 0.729980f, 0.729492f, 0.000000f, 0.000130f, 0.000174f, 0.000312f, - 0.000290f, 0.000293f, 0.000372f, 0.000319f, 0.000397f, 0.000433f, 0.000550f, 0.000552f, 0.000564f, 0.000593f, 0.000638f, 0.000758f, - 0.000784f, 0.000797f, 0.000842f, 0.000937f, 0.001011f, 0.001068f, 0.001125f, 0.001231f, 0.001228f, 0.001288f, 0.001409f, 0.001465f, - 0.001644f, 0.001697f, 0.001965f, 0.001924f, 0.002136f, 0.002270f, 0.002436f, 0.002697f, 0.002916f, 0.003202f, 0.003492f, 0.003929f, - 0.004391f, 0.004887f, 0.005516f, 0.006233f, 0.007240f, 0.008461f, 0.010094f, 0.012070f, 0.014854f, 0.018585f, 0.024338f, 0.032379f, - 0.043884f, 0.060516f, 0.084656f, 0.118469f, 0.164185f, 0.222168f, 0.689941f, 0.708008f, 0.710449f, 0.711914f, 0.712891f, 0.712402f, - 0.000000f, 0.000000f, 0.000122f, 0.000226f, 0.000145f, 0.000282f, 0.000255f, 0.000247f, 0.000323f, 0.000389f, 0.000379f, 0.000435f, - 0.000461f, 0.000509f, 0.000535f, 0.000517f, 0.000557f, 0.000604f, 0.000649f, 0.000690f, 0.000757f, 0.000773f, 0.000836f, 0.000865f, - 0.000924f, 0.000957f, 0.001095f, 0.001104f, 0.001243f, 0.001361f, 0.001458f, 0.001486f, 0.001619f, 0.001745f, 0.001791f, 0.001993f, - 0.002100f, 0.002321f, 0.002539f, 0.002771f, 0.003084f, 0.003412f, 0.003866f, 0.004368f, 0.005062f, 0.005821f, 0.006882f, 0.008278f, - 0.010071f, 0.012756f, 0.016327f, 0.021774f, 0.029785f, 0.042206f, 0.061462f, 0.090149f, 0.131348f, 0.187378f, 0.669434f, 0.688965f, - 0.692383f, 0.694824f, 0.695801f, 0.695312f, 0.000000f, 0.000118f, 0.000113f, 0.000158f, 0.000158f, 0.000176f, 0.000224f, 0.000202f, - 0.000251f, 0.000260f, 0.000280f, 0.000332f, 0.000316f, 0.000365f, 0.000389f, 0.000419f, 0.000454f, 0.000435f, 0.000476f, 0.000494f, - 0.000516f, 0.000576f, 0.000609f, 0.000656f, 0.000678f, 0.000712f, 0.000792f, 0.000800f, 0.000852f, 0.000919f, 0.000961f, 0.001070f, - 0.001120f, 0.001238f, 0.001300f, 0.001480f, 0.001459f, 0.001634f, 0.001798f, 0.001947f, 0.002111f, 0.002377f, 0.002615f, 0.002966f, - 0.003410f, 0.003933f, 0.004585f, 0.005489f, 0.006706f, 0.008148f, 0.010757f, 0.013962f, 0.019257f, 0.027771f, 0.041931f, 0.065125f, - 0.101135f, 0.152832f, 0.650391f, 0.670898f, 0.674316f, 0.675293f, 0.675781f, 0.677246f, 0.000000f, 0.000000f, 0.000109f, 0.000106f, - 0.000121f, 0.000117f, 0.000130f, 0.000151f, 0.000161f, 0.000174f, 0.000234f, 0.000197f, 0.000205f, 0.000236f, 0.000272f, 0.000296f, - 0.000267f, 0.000296f, 0.000397f, 0.000344f, 0.000413f, 0.000395f, 0.000433f, 0.000434f, 0.000504f, 0.000488f, 0.000532f, 0.000550f, - 0.000602f, 0.000711f, 0.000675f, 0.000704f, 0.000752f, 0.000817f, 0.000896f, 0.000955f, 0.001009f, 0.001091f, 0.001223f, 0.001271f, - 0.001415f, 0.001560f, 0.001721f, 0.001989f, 0.002214f, 0.002508f, 0.002930f, 0.003504f, 0.004208f, 0.005169f, 0.006603f, 0.008606f, - 0.011864f, 0.017090f, 0.026367f, 0.043396f, 0.072571f, 0.119751f, 0.630859f, 0.650879f, 0.653809f, 0.656250f, 0.657227f, 0.657227f, - 0.000000f, 0.000111f, 0.000104f, 0.000100f, 0.000096f, 0.000094f, 0.000105f, 0.000096f, 0.000101f, 0.000115f, 0.000119f, 0.000155f, - 0.000129f, 0.000180f, 0.000186f, 0.000199f, 0.000208f, 0.000214f, 0.000232f, 0.000230f, 0.000237f, 0.000247f, 0.000303f, 0.000276f, - 0.000324f, 0.000332f, 0.000381f, 0.000371f, 0.000393f, 0.000428f, 0.000490f, 0.000468f, 0.000512f, 0.000540f, 0.000598f, 0.000670f, - 0.000673f, 0.000711f, 0.000767f, 0.000842f, 0.000894f, 0.000985f, 0.001120f, 0.001200f, 0.001416f, 0.001544f, 0.001768f, 0.002052f, - 0.002510f, 0.003044f, 0.003796f, 0.005016f, 0.006870f, 0.009918f, 0.015335f, 0.026077f, 0.048004f, 0.088745f, 0.610352f, 0.630859f, - 0.634277f, 0.636230f, 0.637207f, 0.638184f, 0.000000f, 0.000104f, 0.000098f, 0.000092f, 0.000087f, 0.000084f, 0.000081f, 0.000078f, - 0.000074f, 0.000070f, 0.000073f, 0.000075f, 0.000081f, 0.000081f, 0.000119f, 0.000124f, 0.000129f, 0.000115f, 0.000142f, 0.000169f, - 0.000155f, 0.000169f, 0.000172f, 0.000196f, 0.000209f, 0.000211f, 0.000203f, 0.000238f, 0.000245f, 0.000260f, 0.000282f, 0.000281f, - 0.000297f, 0.000333f, 0.000343f, 0.000374f, 0.000398f, 0.000428f, 0.000473f, 0.000494f, 0.000534f, 0.000591f, 0.000643f, 0.000708f, - 0.000790f, 0.000893f, 0.001040f, 0.001169f, 0.001381f, 0.001676f, 0.002123f, 0.002686f, 0.003658f, 0.005329f, 0.008347f, 0.014244f, - 0.027954f, 0.060638f, 0.587891f, 0.609375f, 0.613281f, 0.614746f, 0.616699f, 0.616211f, 0.000110f, 0.000094f, 0.000085f, 0.000079f, - 0.000075f, 0.000072f, 0.000069f, 0.000067f, 0.000065f, 0.000063f, 0.000059f, 0.000059f, 0.000054f, 0.000051f, 0.000055f, 0.000051f, - 0.000066f, 0.000066f, 0.000078f, 0.000074f, 0.000089f, 0.000091f, 0.000102f, 0.000109f, 0.000114f, 0.000126f, 0.000133f, 0.000130f, - 0.000141f, 0.000141f, 0.000156f, 0.000172f, 0.000180f, 0.000179f, 0.000206f, 0.000199f, 0.000214f, 0.000254f, 0.000247f, 0.000282f, - 0.000300f, 0.000324f, 0.000349f, 0.000374f, 0.000413f, 0.000459f, 0.000513f, 0.000619f, 0.000711f, 0.000823f, 0.001030f, 0.001269f, - 0.001724f, 0.002487f, 0.003948f, 0.007015f, 0.014122f, 0.036346f, 0.565430f, 0.586426f, 0.592285f, 0.592773f, 0.594238f, 0.594727f, - 0.000092f, 0.000073f, 0.000067f, 0.000062f, 0.000057f, 0.000055f, 0.000052f, 0.000052f, 0.000049f, 0.000049f, 0.000047f, 0.000046f, - 0.000046f, 0.000043f, 0.000041f, 0.000039f, 0.000038f, 0.000036f, 0.000039f, 0.000036f, 0.000039f, 0.000037f, 0.000039f, 0.000047f, - 0.000051f, 0.000057f, 0.000059f, 0.000060f, 0.000067f, 0.000071f, 0.000078f, 0.000085f, 0.000087f, 0.000091f, 0.000098f, 0.000095f, - 0.000102f, 0.000122f, 0.000122f, 0.000137f, 0.000143f, 0.000145f, 0.000168f, 0.000171f, 0.000197f, 0.000209f, 0.000234f, 0.000264f, - 0.000295f, 0.000349f, 0.000418f, 0.000520f, 0.000678f, 0.000958f, 0.001512f, 0.002745f, 0.006092f, 0.017456f, 0.542969f, 0.565430f, - 0.568848f, 0.569824f, 0.572266f, 0.572266f, 0.000052f, 0.000042f, 0.000037f, 0.000035f, 0.000033f, 0.000033f, 0.000032f, 0.000031f, - 0.000031f, 0.000029f, 0.000030f, 0.000030f, 0.000029f, 0.000028f, 0.000028f, 0.000028f, 0.000028f, 0.000028f, 0.000027f, 0.000026f, - 0.000024f, 0.000023f, 0.000022f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000022f, 0.000020f, 0.000023f, 0.000024f, 0.000026f, - 0.000028f, 0.000035f, 0.000037f, 0.000038f, 0.000039f, 0.000043f, 0.000048f, 0.000050f, 0.000053f, 0.000055f, 0.000062f, 0.000059f, - 0.000072f, 0.000070f, 0.000087f, 0.000099f, 0.000100f, 0.000119f, 0.000142f, 0.000162f, 0.000217f, 0.000283f, 0.000425f, 0.000760f, - 0.001818f, 0.006405f, 0.519043f, 0.541504f, 0.546387f, 0.548828f, 0.549316f, 0.550781f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000004f, 0.000006f, 0.000006f, 0.000008f, 0.000009f, 0.000009f, 0.000009f, 0.000010f, - 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000013f, 0.000012f, 0.000012f, - 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000008f, 0.000011f, - 0.000011f, 0.000012f, 0.000015f, 0.000016f, 0.000016f, 0.000018f, 0.000018f, 0.000020f, 0.000022f, 0.000024f, 0.000028f, 0.000035f, - 0.000036f, 0.000052f, 0.000071f, 0.000117f, 0.000260f, 0.001269f, 0.495605f, 0.518555f, 0.523926f, 0.525879f, 0.526855f, 0.527344f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000005f, 0.000021f, 0.473145f, 0.495605f, - 0.500000f, 0.502441f, 0.503418f, 0.503906f, - }, - { - 0.045868f, 0.130493f, 0.205322f, 0.272705f, 0.331787f, 0.384521f, 0.431885f, 0.473389f, 0.511719f, 0.545898f, 0.576660f, 0.605469f, - 0.631348f, 0.654785f, 0.676758f, 0.696289f, 0.714355f, 0.732422f, 0.749023f, 0.763184f, 0.777832f, 0.790527f, 0.802734f, 0.813477f, - 0.824219f, 0.834961f, 0.844238f, 0.853027f, 0.862305f, 0.869629f, 0.877441f, 0.884277f, 0.892090f, 0.898926f, 0.904297f, 0.910645f, - 0.916992f, 0.921875f, 0.926758f, 0.931641f, 0.937012f, 0.941406f, 0.945801f, 0.950195f, 0.954102f, 0.958496f, 0.962402f, 0.966309f, - 0.969238f, 0.973145f, 0.976074f, 0.979492f, 0.982422f, 0.985352f, 0.988281f, 0.991211f, 0.993652f, 0.996094f, 0.997070f, 0.993164f, - 0.990234f, 0.987305f, 0.984375f, 0.981445f, 0.033447f, 0.097717f, 0.160400f, 0.219238f, 0.273438f, 0.323486f, 0.371582f, 0.414062f, - 0.454834f, 0.491211f, 0.524414f, 0.555176f, 0.583984f, 0.610840f, 0.635254f, 0.658203f, 0.678223f, 0.697754f, 0.716309f, 0.732422f, - 0.749023f, 0.763184f, 0.776855f, 0.790527f, 0.802734f, 0.812988f, 0.824707f, 0.834473f, 0.844238f, 0.853516f, 0.862305f, 0.870117f, - 0.877930f, 0.884766f, 0.892090f, 0.897949f, 0.905762f, 0.910645f, 0.917480f, 0.923340f, 0.927734f, 0.933105f, 0.937988f, 0.942871f, - 0.947266f, 0.951172f, 0.955566f, 0.960449f, 0.963379f, 0.967285f, 0.970703f, 0.974609f, 0.978027f, 0.981445f, 0.984863f, 0.986816f, - 0.989746f, 0.993164f, 0.995605f, 0.992188f, 0.988770f, 0.986328f, 0.983398f, 0.980957f, 0.024796f, 0.075195f, 0.126221f, 0.176025f, - 0.224976f, 0.271729f, 0.317383f, 0.359375f, 0.399902f, 0.437744f, 0.472656f, 0.505371f, 0.536133f, 0.565430f, 0.591797f, 0.615723f, - 0.639648f, 0.660156f, 0.681152f, 0.699219f, 0.718262f, 0.734375f, 0.749512f, 0.764648f, 0.777832f, 0.791016f, 0.802734f, 0.813965f, - 0.825195f, 0.835449f, 0.844727f, 0.854004f, 0.862305f, 0.871094f, 0.878418f, 0.886230f, 0.893555f, 0.900391f, 0.906738f, 0.912598f, - 0.917969f, 0.923828f, 0.929688f, 0.935059f, 0.939941f, 0.943848f, 0.949219f, 0.953613f, 0.958008f, 0.961914f, 0.965332f, 0.969238f, - 0.972656f, 0.976074f, 0.979492f, 0.982910f, 0.986328f, 0.989258f, 0.993652f, 0.990723f, 0.987793f, 0.985352f, 0.982910f, 0.979980f, - 0.019119f, 0.058624f, 0.100220f, 0.142578f, 0.185303f, 0.227417f, 0.269287f, 0.310059f, 0.348877f, 0.385254f, 0.421875f, 0.455566f, - 0.489014f, 0.518555f, 0.546875f, 0.574707f, 0.598633f, 0.624023f, 0.645508f, 0.666016f, 0.684082f, 0.702637f, 0.720703f, 0.736816f, - 0.751465f, 0.766113f, 0.779785f, 0.792969f, 0.804199f, 0.815918f, 0.826660f, 0.836426f, 0.846191f, 0.855957f, 0.864746f, 0.872559f, - 0.880371f, 0.888184f, 0.895508f, 0.902344f, 0.908691f, 0.914062f, 0.919922f, 0.925293f, 0.932129f, 0.936035f, 0.941895f, 0.946289f, - 0.951172f, 0.955566f, 0.959473f, 0.963867f, 0.967773f, 0.970703f, 0.975586f, 0.978516f, 0.981934f, 0.985352f, 0.991699f, 0.988770f, - 0.986328f, 0.983887f, 0.981445f, 0.979004f, 0.015175f, 0.046997f, 0.080688f, 0.116028f, 0.152466f, 0.189819f, 0.227417f, 0.264404f, - 0.301758f, 0.338623f, 0.374268f, 0.407471f, 0.439941f, 0.471924f, 0.501465f, 0.529785f, 0.556641f, 0.582031f, 0.606445f, 0.629395f, - 0.649902f, 0.670898f, 0.688965f, 0.708496f, 0.725098f, 0.740723f, 0.755371f, 0.769531f, 0.782715f, 0.795410f, 0.807129f, 0.818848f, - 0.829590f, 0.839844f, 0.849121f, 0.857910f, 0.866699f, 0.875488f, 0.882812f, 0.890625f, 0.897461f, 0.904297f, 0.910645f, 0.916992f, - 0.922363f, 0.928223f, 0.933594f, 0.938477f, 0.944824f, 0.949707f, 0.953613f, 0.958008f, 0.962402f, 0.966309f, 0.970703f, 0.974121f, - 0.977539f, 0.981934f, 0.990234f, 0.987793f, 0.984863f, 0.982910f, 0.980469f, 0.978516f, 0.012215f, 0.038452f, 0.066101f, 0.095825f, - 0.126831f, 0.159180f, 0.192749f, 0.226685f, 0.260986f, 0.294922f, 0.328857f, 0.363037f, 0.394531f, 0.426270f, 0.457520f, 0.486572f, - 0.514648f, 0.541016f, 0.567871f, 0.590820f, 0.614746f, 0.636230f, 0.657227f, 0.676270f, 0.694336f, 0.711914f, 0.729492f, 0.744141f, - 0.759277f, 0.773438f, 0.786621f, 0.798340f, 0.811523f, 0.822266f, 0.833496f, 0.842773f, 0.851562f, 0.861816f, 0.869629f, 0.878418f, - 0.885742f, 0.893066f, 0.900879f, 0.907715f, 0.913574f, 0.919922f, 0.925781f, 0.932129f, 0.937012f, 0.942871f, 0.946777f, 0.951660f, - 0.957031f, 0.960938f, 0.965332f, 0.969727f, 0.973633f, 0.977051f, 0.988281f, 0.986328f, 0.983887f, 0.981445f, 0.979492f, 0.976562f, - 0.009903f, 0.031525f, 0.054626f, 0.078979f, 0.105408f, 0.133789f, 0.162720f, 0.192993f, 0.224976f, 0.256592f, 0.288330f, 0.320312f, - 0.352295f, 0.383545f, 0.414062f, 0.443848f, 0.473389f, 0.500488f, 0.526367f, 0.553223f, 0.577637f, 0.600586f, 0.622070f, 0.644043f, - 0.664551f, 0.683105f, 0.701660f, 0.718262f, 0.734375f, 0.750000f, 0.764648f, 0.778320f, 0.791016f, 0.802734f, 0.815430f, 0.826172f, - 0.836426f, 0.845703f, 0.855957f, 0.864258f, 0.874023f, 0.881348f, 0.889648f, 0.896973f, 0.904297f, 0.911621f, 0.917480f, 0.922852f, - 0.929199f, 0.935059f, 0.939941f, 0.944824f, 0.950195f, 0.954590f, 0.959961f, 0.964355f, 0.968262f, 0.972656f, 0.986328f, 0.984375f, - 0.981934f, 0.979980f, 0.978027f, 0.975586f, 0.008385f, 0.026154f, 0.045319f, 0.066467f, 0.089111f, 0.113220f, 0.138916f, 0.165405f, - 0.192871f, 0.222290f, 0.252197f, 0.281494f, 0.311279f, 0.342285f, 0.372314f, 0.402832f, 0.431641f, 0.459473f, 0.486572f, 0.513672f, - 0.539062f, 0.562988f, 0.587402f, 0.609863f, 0.631348f, 0.652344f, 0.671875f, 0.689941f, 0.708008f, 0.724609f, 0.740234f, 0.755371f, - 0.768066f, 0.783203f, 0.795410f, 0.808105f, 0.819336f, 0.830078f, 0.840332f, 0.851074f, 0.860352f, 0.869141f, 0.877930f, 0.885742f, - 0.893555f, 0.900879f, 0.907715f, 0.915039f, 0.920410f, 0.926758f, 0.933105f, 0.938965f, 0.944336f, 0.949707f, 0.953613f, 0.958984f, - 0.962891f, 0.967285f, 0.984375f, 0.982910f, 0.980957f, 0.978516f, 0.976562f, 0.974609f, 0.006992f, 0.022324f, 0.038544f, 0.056396f, - 0.075317f, 0.095947f, 0.117981f, 0.141968f, 0.166504f, 0.192627f, 0.219238f, 0.246704f, 0.275879f, 0.304443f, 0.333252f, 0.362305f, - 0.390869f, 0.419678f, 0.447266f, 0.474121f, 0.500977f, 0.525879f, 0.551270f, 0.574219f, 0.597656f, 0.620117f, 0.641602f, 0.661133f, - 0.680664f, 0.698242f, 0.715332f, 0.731934f, 0.746582f, 0.761230f, 0.775391f, 0.789551f, 0.802246f, 0.813477f, 0.825195f, 0.835938f, - 0.846191f, 0.855957f, 0.865723f, 0.873535f, 0.882324f, 0.890625f, 0.898438f, 0.905762f, 0.912598f, 0.918945f, 0.925781f, 0.931641f, - 0.937012f, 0.943848f, 0.948730f, 0.954102f, 0.957520f, 0.963379f, 0.981934f, 0.980957f, 0.979004f, 0.977051f, 0.975098f, 0.973145f, - 0.006260f, 0.018387f, 0.032684f, 0.047821f, 0.064636f, 0.082153f, 0.101318f, 0.122009f, 0.143921f, 0.166870f, 0.191406f, 0.216187f, - 0.243164f, 0.269287f, 0.297119f, 0.324951f, 0.352783f, 0.380859f, 0.408691f, 0.435547f, 0.462402f, 0.489258f, 0.514160f, 0.540039f, - 0.563965f, 0.585938f, 0.608398f, 0.629395f, 0.649414f, 0.669434f, 0.689453f, 0.705566f, 0.722656f, 0.739258f, 0.753418f, 0.769043f, - 0.783203f, 0.795898f, 0.807617f, 0.819824f, 0.830566f, 0.842285f, 0.852051f, 0.862305f, 0.871094f, 0.878906f, 0.888184f, 0.895996f, - 0.902832f, 0.910645f, 0.917480f, 0.924316f, 0.930176f, 0.936523f, 0.942383f, 0.946777f, 0.953613f, 0.958496f, 0.979980f, 0.979004f, - 0.977539f, 0.975586f, 0.973633f, 0.972168f, 0.005268f, 0.016418f, 0.028091f, 0.041107f, 0.055420f, 0.070435f, 0.087341f, 0.105347f, - 0.124512f, 0.144531f, 0.166260f, 0.189453f, 0.213989f, 0.238037f, 0.263184f, 0.290039f, 0.317139f, 0.344238f, 0.370850f, 0.398438f, - 0.425293f, 0.451660f, 0.477539f, 0.503418f, 0.528320f, 0.551270f, 0.576172f, 0.598145f, 0.619629f, 0.640137f, 0.659668f, 0.680176f, - 0.697754f, 0.714844f, 0.731934f, 0.748047f, 0.762695f, 0.776367f, 0.790039f, 0.803223f, 0.814453f, 0.827148f, 0.837891f, 0.847656f, - 0.858398f, 0.868164f, 0.876953f, 0.885742f, 0.893066f, 0.901855f, 0.908691f, 0.916504f, 0.922852f, 0.929199f, 0.935059f, 0.941895f, - 0.947754f, 0.953125f, 0.978027f, 0.977539f, 0.975586f, 0.973633f, 0.971680f, 0.969727f, 0.004372f, 0.013802f, 0.024185f, 0.036011f, - 0.047729f, 0.060944f, 0.075684f, 0.090820f, 0.107788f, 0.125488f, 0.144653f, 0.165771f, 0.187012f, 0.210205f, 0.233643f, 0.258545f, - 0.283447f, 0.309326f, 0.335449f, 0.362305f, 0.388672f, 0.415771f, 0.441650f, 0.468018f, 0.492920f, 0.518066f, 0.542480f, 0.564941f, - 0.587891f, 0.609863f, 0.630859f, 0.651855f, 0.670898f, 0.689453f, 0.707520f, 0.724609f, 0.740723f, 0.755859f, 0.770996f, 0.785156f, - 0.799316f, 0.809570f, 0.822754f, 0.834473f, 0.845215f, 0.855469f, 0.865723f, 0.874023f, 0.883301f, 0.892090f, 0.899902f, 0.907715f, - 0.915039f, 0.922363f, 0.928711f, 0.935059f, 0.941406f, 0.947266f, 0.975586f, 0.975098f, 0.973633f, 0.971680f, 0.969727f, 0.968262f, - 0.003809f, 0.012253f, 0.021240f, 0.030884f, 0.041473f, 0.052887f, 0.065308f, 0.079224f, 0.094177f, 0.109558f, 0.126709f, 0.145142f, - 0.163940f, 0.184814f, 0.207397f, 0.229736f, 0.252686f, 0.276855f, 0.302246f, 0.327881f, 0.353271f, 0.380127f, 0.405762f, 0.432129f, - 0.457520f, 0.482422f, 0.507324f, 0.531250f, 0.556152f, 0.578125f, 0.600586f, 0.622559f, 0.642578f, 0.662109f, 0.681641f, 0.700195f, - 0.716797f, 0.734375f, 0.750000f, 0.766113f, 0.779297f, 0.793457f, 0.807129f, 0.819336f, 0.830078f, 0.842285f, 0.853027f, 0.862793f, - 0.872559f, 0.881348f, 0.890625f, 0.899414f, 0.907227f, 0.914551f, 0.920898f, 0.928223f, 0.935059f, 0.941406f, 0.973633f, 0.973145f, - 0.971680f, 0.970215f, 0.968262f, 0.966797f, 0.003462f, 0.010796f, 0.018646f, 0.026962f, 0.036377f, 0.046173f, 0.057190f, 0.068665f, - 0.081726f, 0.095520f, 0.110962f, 0.127563f, 0.144897f, 0.162476f, 0.182373f, 0.202881f, 0.225342f, 0.248291f, 0.271729f, 0.294922f, - 0.320312f, 0.345459f, 0.370850f, 0.397217f, 0.422607f, 0.447998f, 0.473145f, 0.498291f, 0.522461f, 0.546875f, 0.569824f, 0.591797f, - 0.614258f, 0.635742f, 0.655273f, 0.674805f, 0.693359f, 0.711426f, 0.729492f, 0.745605f, 0.760742f, 0.775391f, 0.789551f, 0.803223f, - 0.816406f, 0.828125f, 0.839844f, 0.850586f, 0.861328f, 0.871094f, 0.880371f, 0.889648f, 0.898438f, 0.906250f, 0.915039f, 0.921875f, - 0.928223f, 0.935547f, 0.970703f, 0.970215f, 0.970215f, 0.967773f, 0.966309f, 0.965332f, 0.002872f, 0.009338f, 0.016174f, 0.024231f, - 0.031525f, 0.040558f, 0.050140f, 0.060455f, 0.071472f, 0.084167f, 0.097168f, 0.111450f, 0.127197f, 0.143433f, 0.160889f, 0.179565f, - 0.199463f, 0.220825f, 0.242554f, 0.265625f, 0.288818f, 0.312744f, 0.338135f, 0.362793f, 0.387939f, 0.414307f, 0.439453f, 0.464355f, - 0.489014f, 0.514648f, 0.537598f, 0.561523f, 0.583984f, 0.606445f, 0.627930f, 0.648926f, 0.667480f, 0.687988f, 0.705566f, 0.723633f, - 0.740234f, 0.756348f, 0.771484f, 0.786621f, 0.799805f, 0.812012f, 0.825195f, 0.836426f, 0.849121f, 0.859375f, 0.870605f, 0.879883f, - 0.888672f, 0.897461f, 0.905762f, 0.915039f, 0.921387f, 0.928711f, 0.967773f, 0.969238f, 0.966797f, 0.966797f, 0.964355f, 0.963379f, - 0.002750f, 0.008202f, 0.014519f, 0.021301f, 0.028183f, 0.035828f, 0.044342f, 0.053375f, 0.063354f, 0.074219f, 0.085876f, 0.098083f, - 0.111938f, 0.126343f, 0.142212f, 0.158936f, 0.177124f, 0.196411f, 0.216553f, 0.237427f, 0.260010f, 0.282715f, 0.306641f, 0.330811f, - 0.355957f, 0.381104f, 0.405518f, 0.431152f, 0.456543f, 0.480957f, 0.504883f, 0.529785f, 0.553223f, 0.577148f, 0.599121f, 0.620605f, - 0.642090f, 0.662598f, 0.682617f, 0.701172f, 0.718750f, 0.735352f, 0.751953f, 0.768066f, 0.783691f, 0.796875f, 0.810547f, 0.822754f, - 0.835938f, 0.847656f, 0.858398f, 0.869141f, 0.879395f, 0.888672f, 0.897949f, 0.906250f, 0.914551f, 0.922363f, 0.965820f, 0.966797f, - 0.965820f, 0.963867f, 0.963379f, 0.961426f, 0.002264f, 0.007446f, 0.012741f, 0.018494f, 0.024536f, 0.031769f, 0.039154f, 0.047424f, - 0.056122f, 0.065308f, 0.075623f, 0.087219f, 0.098755f, 0.111328f, 0.125854f, 0.140869f, 0.157349f, 0.174805f, 0.193115f, 0.212402f, - 0.233643f, 0.254883f, 0.276855f, 0.300293f, 0.324463f, 0.348389f, 0.374023f, 0.398193f, 0.423340f, 0.448242f, 0.473877f, 0.498291f, - 0.521973f, 0.545898f, 0.569824f, 0.592773f, 0.614258f, 0.635742f, 0.657227f, 0.676270f, 0.695801f, 0.714844f, 0.731445f, 0.749512f, - 0.765137f, 0.779785f, 0.793945f, 0.808594f, 0.821777f, 0.833496f, 0.846191f, 0.858398f, 0.868652f, 0.879395f, 0.888672f, 0.897949f, - 0.906738f, 0.916016f, 0.962402f, 0.963867f, 0.962891f, 0.961914f, 0.960938f, 0.958984f, 0.002377f, 0.006668f, 0.011467f, 0.016693f, - 0.021820f, 0.028091f, 0.034485f, 0.041748f, 0.049347f, 0.057678f, 0.066589f, 0.076538f, 0.086975f, 0.098816f, 0.111816f, 0.125366f, - 0.139404f, 0.155151f, 0.171875f, 0.190186f, 0.208496f, 0.228760f, 0.250244f, 0.271973f, 0.294189f, 0.317871f, 0.341797f, 0.365479f, - 0.391357f, 0.415771f, 0.440430f, 0.466797f, 0.491699f, 0.515625f, 0.539551f, 0.563477f, 0.585938f, 0.608887f, 0.630371f, 0.651855f, - 0.672363f, 0.692383f, 0.710449f, 0.729492f, 0.745605f, 0.762695f, 0.778320f, 0.792480f, 0.807129f, 0.820801f, 0.833984f, 0.846680f, - 0.857910f, 0.869141f, 0.879395f, 0.889648f, 0.899414f, 0.907715f, 0.959473f, 0.961426f, 0.960449f, 0.959961f, 0.958496f, 0.957031f, - 0.002062f, 0.006180f, 0.010201f, 0.015053f, 0.019531f, 0.025116f, 0.030960f, 0.037292f, 0.043915f, 0.051117f, 0.059570f, 0.067749f, - 0.076843f, 0.087708f, 0.099060f, 0.110352f, 0.123413f, 0.138062f, 0.153198f, 0.169067f, 0.186768f, 0.204956f, 0.224487f, 0.244873f, - 0.265625f, 0.288330f, 0.311768f, 0.335205f, 0.359863f, 0.384521f, 0.409668f, 0.434082f, 0.459717f, 0.483887f, 0.508789f, 0.533203f, - 0.557617f, 0.580566f, 0.603516f, 0.626465f, 0.646484f, 0.667969f, 0.687500f, 0.708008f, 0.726074f, 0.744141f, 0.760742f, 0.776367f, - 0.791504f, 0.806641f, 0.820312f, 0.833496f, 0.846191f, 0.858398f, 0.869629f, 0.879883f, 0.890625f, 0.900879f, 0.956543f, 0.958496f, - 0.958008f, 0.956543f, 0.955566f, 0.954102f, 0.001774f, 0.005459f, 0.009155f, 0.013290f, 0.017807f, 0.022537f, 0.027527f, 0.033081f, - 0.038818f, 0.045380f, 0.052643f, 0.060516f, 0.068420f, 0.077942f, 0.087952f, 0.098572f, 0.109863f, 0.122925f, 0.136230f, 0.150146f, - 0.166382f, 0.183105f, 0.201172f, 0.219482f, 0.240112f, 0.261230f, 0.283203f, 0.305664f, 0.329590f, 0.353027f, 0.377930f, 0.402344f, - 0.427490f, 0.453369f, 0.478516f, 0.502930f, 0.527832f, 0.552246f, 0.575684f, 0.598145f, 0.621094f, 0.643555f, 0.664551f, 0.685547f, - 0.704590f, 0.723633f, 0.742188f, 0.759277f, 0.775879f, 0.791016f, 0.806152f, 0.820801f, 0.833496f, 0.847168f, 0.859375f, 0.870605f, - 0.881348f, 0.893066f, 0.953125f, 0.956055f, 0.955566f, 0.954102f, 0.953125f, 0.951660f, 0.001655f, 0.004757f, 0.008308f, 0.011993f, - 0.015808f, 0.020187f, 0.024780f, 0.029434f, 0.034851f, 0.040741f, 0.046997f, 0.053650f, 0.061096f, 0.069397f, 0.078064f, 0.087280f, - 0.097351f, 0.108887f, 0.121033f, 0.134277f, 0.148560f, 0.163330f, 0.180054f, 0.197144f, 0.215332f, 0.235718f, 0.255859f, 0.277588f, - 0.300049f, 0.323730f, 0.347656f, 0.371826f, 0.396729f, 0.422607f, 0.447021f, 0.472168f, 0.497803f, 0.521973f, 0.547363f, 0.571289f, - 0.594238f, 0.618164f, 0.640137f, 0.662109f, 0.682617f, 0.702637f, 0.722168f, 0.739746f, 0.758301f, 0.774902f, 0.790527f, 0.806641f, - 0.820801f, 0.834961f, 0.848633f, 0.860352f, 0.872559f, 0.883789f, 0.949707f, 0.953125f, 0.952148f, 0.951172f, 0.950684f, 0.948730f, - 0.001418f, 0.004456f, 0.007584f, 0.010803f, 0.014450f, 0.018005f, 0.022186f, 0.026398f, 0.031342f, 0.036224f, 0.041687f, 0.048126f, - 0.054382f, 0.061676f, 0.069641f, 0.077759f, 0.086914f, 0.097168f, 0.107910f, 0.119263f, 0.132446f, 0.145752f, 0.161011f, 0.176758f, - 0.193726f, 0.211914f, 0.231201f, 0.251709f, 0.272705f, 0.294922f, 0.318604f, 0.342041f, 0.366455f, 0.390869f, 0.416992f, 0.441895f, - 0.467285f, 0.493164f, 0.517578f, 0.541992f, 0.566895f, 0.590820f, 0.614746f, 0.637207f, 0.660156f, 0.681152f, 0.701172f, 0.720703f, - 0.739746f, 0.758301f, 0.775391f, 0.791992f, 0.807617f, 0.821289f, 0.836426f, 0.850586f, 0.863281f, 0.874512f, 0.946777f, 0.949707f, - 0.949707f, 0.948730f, 0.947266f, 0.946289f, 0.001213f, 0.003864f, 0.006721f, 0.009796f, 0.012932f, 0.016037f, 0.020218f, 0.024231f, - 0.028275f, 0.032379f, 0.037567f, 0.042603f, 0.048584f, 0.054993f, 0.061798f, 0.069519f, 0.077637f, 0.086182f, 0.095703f, 0.106323f, - 0.117676f, 0.130127f, 0.143555f, 0.158203f, 0.173462f, 0.189941f, 0.207886f, 0.226807f, 0.247192f, 0.267822f, 0.290527f, 0.312500f, - 0.336670f, 0.360352f, 0.385742f, 0.410889f, 0.437256f, 0.462646f, 0.488281f, 0.513184f, 0.539062f, 0.563477f, 0.588379f, 0.612305f, - 0.636230f, 0.657715f, 0.679199f, 0.700195f, 0.720703f, 0.740234f, 0.758301f, 0.775879f, 0.793945f, 0.809082f, 0.824219f, 0.838867f, - 0.852539f, 0.865234f, 0.942871f, 0.946777f, 0.946777f, 0.945312f, 0.944824f, 0.943359f, 0.001063f, 0.003754f, 0.005909f, 0.008789f, - 0.011780f, 0.014671f, 0.017792f, 0.021378f, 0.025238f, 0.029221f, 0.033417f, 0.038300f, 0.043488f, 0.048828f, 0.054779f, 0.061554f, - 0.068604f, 0.076721f, 0.085388f, 0.094482f, 0.104614f, 0.115845f, 0.128296f, 0.141113f, 0.155029f, 0.170044f, 0.186401f, 0.204224f, - 0.222778f, 0.242188f, 0.263916f, 0.285156f, 0.308350f, 0.331787f, 0.355957f, 0.381348f, 0.407227f, 0.432617f, 0.459229f, 0.484619f, - 0.509277f, 0.536133f, 0.560547f, 0.585938f, 0.609863f, 0.633301f, 0.657715f, 0.678711f, 0.699707f, 0.721191f, 0.740723f, 0.759277f, - 0.777344f, 0.794922f, 0.811035f, 0.826660f, 0.841797f, 0.855469f, 0.939453f, 0.943359f, 0.943359f, 0.942871f, 0.941895f, 0.940918f, - 0.001175f, 0.003069f, 0.005558f, 0.007912f, 0.010712f, 0.013199f, 0.016235f, 0.019547f, 0.022659f, 0.026138f, 0.030151f, 0.034424f, - 0.038940f, 0.044067f, 0.049255f, 0.054993f, 0.061493f, 0.068359f, 0.075928f, 0.084290f, 0.093262f, 0.103760f, 0.114319f, 0.126099f, - 0.138550f, 0.152466f, 0.167114f, 0.183472f, 0.200439f, 0.219238f, 0.239014f, 0.259277f, 0.281250f, 0.303711f, 0.327148f, 0.351807f, - 0.376709f, 0.402344f, 0.428955f, 0.453857f, 0.480713f, 0.507324f, 0.533203f, 0.558594f, 0.583984f, 0.609375f, 0.633301f, 0.656738f, - 0.678711f, 0.700195f, 0.722168f, 0.742188f, 0.761719f, 0.780273f, 0.797852f, 0.813477f, 0.830078f, 0.845703f, 0.935547f, 0.939453f, - 0.939453f, 0.938965f, 0.937988f, 0.937012f, 0.001089f, 0.002945f, 0.005066f, 0.007225f, 0.009575f, 0.012016f, 0.014656f, 0.017288f, - 0.020142f, 0.023712f, 0.026764f, 0.030640f, 0.034637f, 0.039490f, 0.043854f, 0.048706f, 0.054688f, 0.060913f, 0.067871f, 0.075256f, - 0.083191f, 0.092163f, 0.101868f, 0.111938f, 0.123657f, 0.136108f, 0.149658f, 0.164185f, 0.179932f, 0.196777f, 0.215454f, 0.234375f, - 0.255371f, 0.276611f, 0.299805f, 0.323486f, 0.347656f, 0.373047f, 0.398682f, 0.425293f, 0.451172f, 0.477783f, 0.504883f, 0.530762f, - 0.557617f, 0.583008f, 0.607910f, 0.632812f, 0.657227f, 0.680664f, 0.702637f, 0.724121f, 0.743652f, 0.764160f, 0.783691f, 0.800781f, - 0.818848f, 0.833984f, 0.930664f, 0.936035f, 0.936035f, 0.935547f, 0.934570f, 0.933594f, 0.000847f, 0.002800f, 0.004562f, 0.006786f, - 0.008804f, 0.011017f, 0.013145f, 0.015640f, 0.018509f, 0.021255f, 0.024277f, 0.027603f, 0.030991f, 0.035248f, 0.039642f, 0.043854f, - 0.048798f, 0.054504f, 0.060516f, 0.067017f, 0.073914f, 0.082092f, 0.090515f, 0.099854f, 0.109863f, 0.121521f, 0.133545f, 0.146851f, - 0.161133f, 0.176514f, 0.192993f, 0.211426f, 0.230957f, 0.251465f, 0.272705f, 0.295410f, 0.319092f, 0.343994f, 0.369385f, 0.395020f, - 0.421631f, 0.448242f, 0.475342f, 0.501953f, 0.529785f, 0.556152f, 0.582031f, 0.608887f, 0.633789f, 0.658203f, 0.681152f, 0.704590f, - 0.726074f, 0.748535f, 0.768555f, 0.787109f, 0.804199f, 0.822754f, 0.926758f, 0.931641f, 0.932129f, 0.931641f, 0.931152f, 0.930176f, - 0.001035f, 0.002598f, 0.004147f, 0.006062f, 0.007942f, 0.009933f, 0.012405f, 0.014565f, 0.016174f, 0.019135f, 0.021988f, 0.024811f, - 0.028259f, 0.031616f, 0.035065f, 0.039429f, 0.043884f, 0.048615f, 0.053833f, 0.059723f, 0.065796f, 0.072693f, 0.080383f, 0.088745f, - 0.098206f, 0.107727f, 0.119080f, 0.130981f, 0.143677f, 0.157959f, 0.173218f, 0.189941f, 0.207642f, 0.226929f, 0.247437f, 0.269043f, - 0.291748f, 0.315674f, 0.340576f, 0.366211f, 0.392578f, 0.419434f, 0.446533f, 0.473877f, 0.502441f, 0.528320f, 0.556152f, 0.583008f, - 0.609375f, 0.635254f, 0.660156f, 0.684082f, 0.706543f, 0.729980f, 0.751953f, 0.771973f, 0.792480f, 0.810547f, 0.922363f, 0.927734f, - 0.928223f, 0.928223f, 0.927246f, 0.926758f, 0.000775f, 0.002325f, 0.003843f, 0.005573f, 0.007397f, 0.009163f, 0.010857f, 0.012939f, - 0.015312f, 0.017273f, 0.019684f, 0.022537f, 0.025070f, 0.028183f, 0.031616f, 0.035461f, 0.038940f, 0.043671f, 0.048096f, 0.053131f, - 0.058411f, 0.064941f, 0.071777f, 0.078857f, 0.086731f, 0.096130f, 0.105835f, 0.116760f, 0.128296f, 0.140747f, 0.154907f, 0.170410f, - 0.186646f, 0.204834f, 0.223633f, 0.243896f, 0.265625f, 0.288330f, 0.312012f, 0.337402f, 0.363037f, 0.389648f, 0.417480f, 0.444824f, - 0.473633f, 0.500000f, 0.529297f, 0.556641f, 0.583984f, 0.610840f, 0.638184f, 0.662598f, 0.687988f, 0.711914f, 0.734375f, 0.755859f, - 0.777832f, 0.798828f, 0.916992f, 0.922852f, 0.923828f, 0.923828f, 0.923340f, 0.922363f, 0.000617f, 0.002234f, 0.003510f, 0.005035f, - 0.006397f, 0.008156f, 0.010033f, 0.011665f, 0.013481f, 0.015717f, 0.017700f, 0.020004f, 0.022766f, 0.025391f, 0.028214f, 0.031586f, - 0.035217f, 0.038757f, 0.042999f, 0.047668f, 0.052368f, 0.057434f, 0.063538f, 0.070190f, 0.077698f, 0.085449f, 0.094299f, 0.103394f, - 0.113953f, 0.125610f, 0.137817f, 0.151855f, 0.167236f, 0.183228f, 0.200806f, 0.219971f, 0.240479f, 0.262451f, 0.285645f, 0.309570f, - 0.334961f, 0.360596f, 0.387939f, 0.416016f, 0.444092f, 0.473145f, 0.501465f, 0.529785f, 0.558105f, 0.585938f, 0.614258f, 0.640137f, - 0.666992f, 0.692383f, 0.716797f, 0.739746f, 0.763184f, 0.784180f, 0.912109f, 0.918457f, 0.919434f, 0.919434f, 0.918457f, 0.917969f, - 0.000665f, 0.002039f, 0.003386f, 0.004520f, 0.005989f, 0.007511f, 0.009262f, 0.010902f, 0.012314f, 0.014320f, 0.015869f, 0.018127f, - 0.020248f, 0.022476f, 0.025284f, 0.028122f, 0.030991f, 0.034668f, 0.038239f, 0.042206f, 0.046539f, 0.051361f, 0.056610f, 0.062347f, - 0.068604f, 0.075623f, 0.083313f, 0.092041f, 0.101379f, 0.111572f, 0.122986f, 0.135132f, 0.148926f, 0.164062f, 0.180054f, 0.197510f, - 0.216797f, 0.237183f, 0.259521f, 0.282227f, 0.307129f, 0.332764f, 0.358887f, 0.386475f, 0.415527f, 0.443604f, 0.473389f, 0.501465f, - 0.530762f, 0.560059f, 0.588867f, 0.617676f, 0.645020f, 0.671387f, 0.698242f, 0.722656f, 0.746094f, 0.770020f, 0.906738f, 0.913574f, - 0.915039f, 0.914551f, 0.914062f, 0.914062f, 0.000661f, 0.001754f, 0.002831f, 0.004066f, 0.005333f, 0.006668f, 0.008286f, 0.009773f, - 0.011124f, 0.012794f, 0.014320f, 0.016357f, 0.018036f, 0.020386f, 0.022766f, 0.025192f, 0.027924f, 0.030807f, 0.034027f, 0.037628f, - 0.041321f, 0.045349f, 0.050262f, 0.055328f, 0.060699f, 0.066833f, 0.073669f, 0.081360f, 0.089600f, 0.099060f, 0.108826f, 0.119995f, - 0.132324f, 0.145874f, 0.160889f, 0.176880f, 0.194702f, 0.213379f, 0.234497f, 0.256104f, 0.280029f, 0.304688f, 0.330811f, 0.358154f, - 0.385986f, 0.415039f, 0.444092f, 0.474609f, 0.503418f, 0.534180f, 0.563965f, 0.592773f, 0.621094f, 0.650391f, 0.678223f, 0.704590f, - 0.730469f, 0.754883f, 0.901855f, 0.908691f, 0.910156f, 0.909668f, 0.909668f, 0.908691f, 0.000653f, 0.001667f, 0.002666f, 0.003887f, - 0.004986f, 0.006359f, 0.007202f, 0.008751f, 0.010300f, 0.011757f, 0.012939f, 0.014595f, 0.016281f, 0.018234f, 0.020142f, 0.022415f, - 0.025101f, 0.027466f, 0.030182f, 0.033539f, 0.036865f, 0.040680f, 0.044342f, 0.048798f, 0.053619f, 0.059479f, 0.065491f, 0.071716f, - 0.079285f, 0.087341f, 0.096497f, 0.106445f, 0.117615f, 0.129395f, 0.142822f, 0.157959f, 0.174194f, 0.192139f, 0.210938f, 0.231567f, - 0.253906f, 0.277832f, 0.302979f, 0.329590f, 0.357422f, 0.385986f, 0.415283f, 0.446045f, 0.475830f, 0.506348f, 0.537109f, 0.567871f, - 0.599121f, 0.628418f, 0.657227f, 0.685547f, 0.712891f, 0.739746f, 0.895508f, 0.902344f, 0.904297f, 0.904785f, 0.904297f, 0.904297f, - 0.000372f, 0.001397f, 0.002384f, 0.003529f, 0.004509f, 0.005505f, 0.007015f, 0.008026f, 0.009201f, 0.010292f, 0.011536f, 0.013130f, - 0.014915f, 0.016266f, 0.018387f, 0.020218f, 0.022034f, 0.024399f, 0.026901f, 0.029617f, 0.032623f, 0.035950f, 0.039032f, 0.043030f, - 0.047577f, 0.052612f, 0.057556f, 0.063477f, 0.070007f, 0.077209f, 0.085083f, 0.094177f, 0.103821f, 0.114563f, 0.126709f, 0.140015f, - 0.154785f, 0.171143f, 0.188477f, 0.208252f, 0.229004f, 0.251709f, 0.275879f, 0.302002f, 0.328613f, 0.356445f, 0.385986f, 0.416504f, - 0.447510f, 0.478760f, 0.510254f, 0.542480f, 0.573730f, 0.604980f, 0.635742f, 0.665527f, 0.694336f, 0.722656f, 0.887695f, 0.897949f, - 0.898926f, 0.899414f, 0.897949f, 0.898438f, 0.000661f, 0.001222f, 0.002275f, 0.003313f, 0.004181f, 0.005119f, 0.006275f, 0.007126f, - 0.007988f, 0.009354f, 0.010300f, 0.012062f, 0.013313f, 0.014786f, 0.016251f, 0.018021f, 0.019516f, 0.021896f, 0.024017f, 0.026428f, - 0.029022f, 0.031799f, 0.034698f, 0.038422f, 0.042236f, 0.046265f, 0.050598f, 0.055786f, 0.061493f, 0.067871f, 0.074951f, 0.082458f, - 0.091187f, 0.101135f, 0.111694f, 0.123779f, 0.137207f, 0.151978f, 0.167969f, 0.186157f, 0.205688f, 0.226929f, 0.249756f, 0.274658f, - 0.301025f, 0.328613f, 0.357178f, 0.387207f, 0.418457f, 0.450195f, 0.482422f, 0.516113f, 0.548340f, 0.580566f, 0.612305f, 0.644043f, - 0.674805f, 0.705566f, 0.882812f, 0.890625f, 0.892578f, 0.893066f, 0.892578f, 0.893066f, 0.000379f, 0.001211f, 0.002066f, 0.003040f, - 0.003834f, 0.004616f, 0.005608f, 0.006550f, 0.007347f, 0.008408f, 0.009529f, 0.010452f, 0.011940f, 0.013039f, 0.014313f, 0.015961f, - 0.017746f, 0.019180f, 0.021210f, 0.023239f, 0.025482f, 0.028030f, 0.030640f, 0.033661f, 0.036987f, 0.040466f, 0.044617f, 0.048828f, - 0.053894f, 0.059235f, 0.065674f, 0.072632f, 0.079956f, 0.089050f, 0.098267f, 0.109009f, 0.120789f, 0.134521f, 0.148926f, 0.165405f, - 0.183228f, 0.202881f, 0.224731f, 0.248779f, 0.273193f, 0.300049f, 0.329346f, 0.358887f, 0.390381f, 0.421387f, 0.454590f, 0.488770f, - 0.521484f, 0.555176f, 0.588379f, 0.621582f, 0.654785f, 0.686523f, 0.875488f, 0.885254f, 0.886719f, 0.886230f, 0.886719f, 0.886230f, - 0.000282f, 0.001126f, 0.002010f, 0.002661f, 0.003340f, 0.004269f, 0.005192f, 0.005711f, 0.006638f, 0.007278f, 0.008377f, 0.009483f, - 0.010567f, 0.011742f, 0.012871f, 0.014061f, 0.015480f, 0.017242f, 0.018799f, 0.020584f, 0.022461f, 0.024490f, 0.027100f, 0.029434f, - 0.032532f, 0.035706f, 0.038971f, 0.042969f, 0.047241f, 0.052094f, 0.057373f, 0.063232f, 0.070007f, 0.077637f, 0.086243f, 0.095764f, - 0.106323f, 0.118164f, 0.131470f, 0.146118f, 0.162720f, 0.181030f, 0.200928f, 0.223022f, 0.247070f, 0.272705f, 0.300537f, 0.330322f, - 0.360107f, 0.393066f, 0.426270f, 0.459473f, 0.494629f, 0.529297f, 0.564453f, 0.598633f, 0.633789f, 0.666504f, 0.868652f, 0.878418f, - 0.879395f, 0.880371f, 0.879883f, 0.879395f, 0.000340f, 0.000963f, 0.001826f, 0.002459f, 0.003307f, 0.003847f, 0.004719f, 0.004936f, - 0.005802f, 0.006695f, 0.007748f, 0.008522f, 0.009506f, 0.010376f, 0.011383f, 0.012787f, 0.013901f, 0.015182f, 0.016663f, 0.018051f, - 0.019821f, 0.021759f, 0.023590f, 0.025818f, 0.028519f, 0.030975f, 0.034210f, 0.037811f, 0.040802f, 0.045349f, 0.050201f, 0.055298f, - 0.061310f, 0.067688f, 0.074768f, 0.083557f, 0.092590f, 0.103149f, 0.115479f, 0.128906f, 0.142944f, 0.160278f, 0.178345f, 0.198975f, - 0.221802f, 0.246094f, 0.272949f, 0.301514f, 0.331543f, 0.363525f, 0.396729f, 0.430908f, 0.466553f, 0.501953f, 0.538086f, 0.574707f, - 0.610840f, 0.646973f, 0.860352f, 0.870605f, 0.873047f, 0.873047f, 0.873535f, 0.872559f, 0.000225f, 0.001021f, 0.001653f, 0.002302f, - 0.002827f, 0.003448f, 0.003937f, 0.004486f, 0.004986f, 0.006252f, 0.007000f, 0.007416f, 0.008224f, 0.009300f, 0.009972f, 0.011322f, - 0.012115f, 0.013428f, 0.014557f, 0.015991f, 0.017532f, 0.018982f, 0.020706f, 0.022781f, 0.024567f, 0.027161f, 0.029770f, 0.032623f, - 0.035828f, 0.039551f, 0.043030f, 0.047852f, 0.052795f, 0.058716f, 0.065125f, 0.072266f, 0.080566f, 0.089661f, 0.100403f, 0.112854f, - 0.125732f, 0.140991f, 0.157349f, 0.176514f, 0.197510f, 0.220581f, 0.245850f, 0.273438f, 0.302979f, 0.334717f, 0.367676f, 0.401855f, - 0.437256f, 0.474609f, 0.512695f, 0.549316f, 0.588379f, 0.625000f, 0.853027f, 0.863281f, 0.866211f, 0.866211f, 0.866699f, 0.866211f, - 0.000324f, 0.000845f, 0.001534f, 0.002172f, 0.002474f, 0.003115f, 0.003824f, 0.003937f, 0.004848f, 0.005417f, 0.006222f, 0.006760f, - 0.007446f, 0.008186f, 0.009102f, 0.009888f, 0.010620f, 0.011551f, 0.012878f, 0.013954f, 0.015106f, 0.016495f, 0.018143f, 0.019669f, - 0.021713f, 0.023468f, 0.025818f, 0.028183f, 0.031021f, 0.033783f, 0.037445f, 0.041534f, 0.045532f, 0.050598f, 0.056152f, 0.062500f, - 0.069580f, 0.077698f, 0.086914f, 0.097717f, 0.108948f, 0.123047f, 0.138184f, 0.155273f, 0.174438f, 0.196167f, 0.219604f, 0.246094f, - 0.274902f, 0.305420f, 0.338379f, 0.372314f, 0.408936f, 0.445801f, 0.484131f, 0.523438f, 0.562988f, 0.604492f, 0.843262f, 0.856445f, - 0.857422f, 0.857910f, 0.858398f, 0.858398f, 0.000331f, 0.000944f, 0.001288f, 0.001833f, 0.002388f, 0.002769f, 0.003216f, 0.003664f, - 0.004276f, 0.004822f, 0.005173f, 0.005951f, 0.006531f, 0.007156f, 0.007896f, 0.008438f, 0.009430f, 0.010117f, 0.011208f, 0.012253f, - 0.012970f, 0.014297f, 0.015572f, 0.017059f, 0.018692f, 0.020264f, 0.022125f, 0.024323f, 0.026474f, 0.029343f, 0.032288f, 0.035461f, - 0.039062f, 0.043335f, 0.047821f, 0.053558f, 0.059509f, 0.067078f, 0.074341f, 0.083862f, 0.094360f, 0.106323f, 0.120117f, 0.135254f, - 0.153442f, 0.172852f, 0.195190f, 0.220337f, 0.246948f, 0.276611f, 0.308594f, 0.343262f, 0.379150f, 0.416992f, 0.455811f, 0.496582f, - 0.537598f, 0.579590f, 0.834473f, 0.847656f, 0.850098f, 0.850098f, 0.849609f, 0.850098f, 0.000316f, 0.000824f, 0.001088f, 0.001693f, - 0.002062f, 0.002403f, 0.003027f, 0.003460f, 0.003712f, 0.004166f, 0.004765f, 0.005138f, 0.005871f, 0.006218f, 0.006924f, 0.007431f, - 0.008255f, 0.008850f, 0.009781f, 0.010590f, 0.011391f, 0.012367f, 0.013474f, 0.014709f, 0.015823f, 0.017685f, 0.018982f, 0.020844f, - 0.022629f, 0.025070f, 0.027496f, 0.030380f, 0.033447f, 0.037140f, 0.041168f, 0.045654f, 0.050720f, 0.057251f, 0.063965f, 0.071777f, - 0.080811f, 0.091248f, 0.103638f, 0.117126f, 0.133179f, 0.151001f, 0.171631f, 0.194580f, 0.220337f, 0.248413f, 0.279785f, 0.313965f, - 0.349365f, 0.386963f, 0.426514f, 0.468262f, 0.510742f, 0.555176f, 0.825684f, 0.838379f, 0.839844f, 0.841309f, 0.841309f, 0.841309f, - 0.000210f, 0.000717f, 0.001084f, 0.001454f, 0.001882f, 0.002096f, 0.002468f, 0.002996f, 0.003395f, 0.003632f, 0.004066f, 0.004467f, - 0.005020f, 0.005569f, 0.005917f, 0.006474f, 0.006958f, 0.007576f, 0.008453f, 0.009140f, 0.010002f, 0.010689f, 0.011520f, 0.012596f, - 0.013695f, 0.014938f, 0.016220f, 0.017593f, 0.019424f, 0.020996f, 0.023331f, 0.025696f, 0.028427f, 0.031067f, 0.034668f, 0.038422f, - 0.042908f, 0.048096f, 0.054016f, 0.060699f, 0.068909f, 0.077515f, 0.088501f, 0.100464f, 0.114624f, 0.130615f, 0.149048f, 0.170654f, - 0.194214f, 0.222046f, 0.251465f, 0.283936f, 0.319580f, 0.357422f, 0.397461f, 0.440186f, 0.484375f, 0.528320f, 0.814941f, 0.828613f, - 0.830078f, 0.832031f, 0.831543f, 0.833008f, 0.000234f, 0.000576f, 0.000939f, 0.001362f, 0.001481f, 0.001999f, 0.002228f, 0.002714f, - 0.002846f, 0.003218f, 0.003555f, 0.003933f, 0.004356f, 0.004787f, 0.005169f, 0.005604f, 0.006145f, 0.006554f, 0.007275f, 0.007675f, - 0.008293f, 0.009201f, 0.009979f, 0.010651f, 0.011497f, 0.012527f, 0.013893f, 0.014771f, 0.016373f, 0.017975f, 0.019455f, 0.021683f, - 0.023895f, 0.026077f, 0.029114f, 0.032257f, 0.036072f, 0.040405f, 0.045197f, 0.050903f, 0.057770f, 0.065613f, 0.074524f, 0.085388f, - 0.097656f, 0.111694f, 0.128540f, 0.147949f, 0.170166f, 0.195435f, 0.223389f, 0.255127f, 0.289551f, 0.327393f, 0.367432f, 0.410400f, - 0.455078f, 0.502441f, 0.804199f, 0.818848f, 0.821289f, 0.822266f, 0.822754f, 0.822266f, 0.000213f, 0.000506f, 0.000756f, 0.001184f, - 0.001396f, 0.001697f, 0.002010f, 0.002474f, 0.002569f, 0.002918f, 0.003090f, 0.003496f, 0.003855f, 0.004139f, 0.004478f, 0.004852f, - 0.005253f, 0.005665f, 0.006100f, 0.006638f, 0.007080f, 0.007744f, 0.008293f, 0.009132f, 0.009750f, 0.010658f, 0.011536f, 0.012413f, - 0.013779f, 0.014908f, 0.016510f, 0.017990f, 0.019623f, 0.021637f, 0.024109f, 0.026718f, 0.029922f, 0.033539f, 0.037567f, 0.042572f, - 0.048279f, 0.054413f, 0.062042f, 0.071472f, 0.081909f, 0.094604f, 0.109436f, 0.127075f, 0.146484f, 0.170044f, 0.196533f, 0.226929f, - 0.260254f, 0.296875f, 0.337402f, 0.380615f, 0.426025f, 0.475342f, 0.792969f, 0.807617f, 0.811035f, 0.811523f, 0.812012f, 0.813477f, - 0.000119f, 0.000422f, 0.000883f, 0.001027f, 0.001189f, 0.001604f, 0.001783f, 0.001913f, 0.002228f, 0.002522f, 0.002645f, 0.003086f, - 0.003199f, 0.003534f, 0.003790f, 0.004105f, 0.004421f, 0.004902f, 0.005283f, 0.005589f, 0.006039f, 0.006401f, 0.007088f, 0.007519f, - 0.008217f, 0.008812f, 0.009712f, 0.010460f, 0.011337f, 0.012413f, 0.013596f, 0.014687f, 0.016159f, 0.018051f, 0.019913f, 0.022018f, - 0.024551f, 0.027359f, 0.030792f, 0.035065f, 0.039703f, 0.044983f, 0.051392f, 0.059204f, 0.068176f, 0.079102f, 0.092041f, 0.106873f, - 0.125000f, 0.145874f, 0.170532f, 0.198975f, 0.230835f, 0.267090f, 0.306641f, 0.349854f, 0.395508f, 0.445801f, 0.780762f, 0.796875f, - 0.799805f, 0.801270f, 0.801270f, 0.801270f, 0.000227f, 0.000521f, 0.000698f, 0.000817f, 0.001236f, 0.001359f, 0.001540f, 0.001619f, - 0.001940f, 0.002089f, 0.002430f, 0.002552f, 0.002655f, 0.002932f, 0.003241f, 0.003532f, 0.003841f, 0.004120f, 0.004292f, 0.004761f, - 0.005051f, 0.005459f, 0.005886f, 0.006290f, 0.006821f, 0.007320f, 0.007889f, 0.008652f, 0.009399f, 0.010063f, 0.010887f, 0.012215f, - 0.013206f, 0.014648f, 0.016037f, 0.017853f, 0.019958f, 0.022491f, 0.024994f, 0.028091f, 0.032135f, 0.036530f, 0.041809f, 0.048096f, - 0.055908f, 0.064941f, 0.076050f, 0.089050f, 0.104980f, 0.123596f, 0.146118f, 0.172363f, 0.203003f, 0.237183f, 0.276123f, 0.318359f, - 0.365479f, 0.416504f, 0.768555f, 0.784668f, 0.788086f, 0.789551f, 0.790039f, 0.790039f, 0.000000f, 0.000448f, 0.000566f, 0.000688f, - 0.000985f, 0.001144f, 0.001305f, 0.001437f, 0.001622f, 0.001731f, 0.001989f, 0.002174f, 0.002338f, 0.002552f, 0.002739f, 0.002924f, - 0.003239f, 0.003405f, 0.003628f, 0.003933f, 0.004200f, 0.004463f, 0.004948f, 0.005245f, 0.005615f, 0.006138f, 0.006699f, 0.006989f, - 0.007793f, 0.008247f, 0.008980f, 0.009918f, 0.010857f, 0.011795f, 0.013016f, 0.014244f, 0.015930f, 0.017868f, 0.019882f, 0.022659f, - 0.025543f, 0.029160f, 0.033417f, 0.038635f, 0.044983f, 0.052338f, 0.061859f, 0.072693f, 0.086487f, 0.102966f, 0.122864f, 0.146973f, - 0.175049f, 0.207764f, 0.245605f, 0.287842f, 0.334229f, 0.385986f, 0.755371f, 0.771973f, 0.775879f, 0.777344f, 0.777832f, 0.778809f, - 0.000000f, 0.000303f, 0.000512f, 0.000752f, 0.000828f, 0.001036f, 0.001184f, 0.001292f, 0.001281f, 0.001460f, 0.001717f, 0.001843f, - 0.001955f, 0.002060f, 0.002317f, 0.002476f, 0.002542f, 0.002869f, 0.003088f, 0.003313f, 0.003559f, 0.003693f, 0.004082f, 0.004318f, - 0.004696f, 0.005070f, 0.005245f, 0.005741f, 0.006126f, 0.006771f, 0.007298f, 0.007828f, 0.008583f, 0.009338f, 0.010246f, 0.011528f, - 0.012794f, 0.014160f, 0.015717f, 0.017853f, 0.019958f, 0.022995f, 0.026291f, 0.030533f, 0.035553f, 0.041565f, 0.048981f, 0.058350f, - 0.069824f, 0.083801f, 0.101685f, 0.122437f, 0.148438f, 0.178833f, 0.215454f, 0.256104f, 0.302490f, 0.354736f, 0.741699f, 0.758789f, - 0.762695f, 0.763672f, 0.764648f, 0.765625f, 0.000097f, 0.000306f, 0.000370f, 0.000618f, 0.000713f, 0.000810f, 0.000953f, 0.000920f, - 0.001167f, 0.001238f, 0.001406f, 0.001483f, 0.001540f, 0.001794f, 0.001970f, 0.002028f, 0.002264f, 0.002354f, 0.002459f, 0.002636f, - 0.002827f, 0.003096f, 0.003342f, 0.003544f, 0.003881f, 0.003948f, 0.004459f, 0.004742f, 0.005005f, 0.005394f, 0.005867f, 0.006374f, - 0.006901f, 0.007507f, 0.008202f, 0.008881f, 0.010017f, 0.010986f, 0.012451f, 0.013809f, 0.015511f, 0.017776f, 0.020325f, 0.023453f, - 0.027390f, 0.032349f, 0.038330f, 0.045624f, 0.055359f, 0.067078f, 0.082275f, 0.101013f, 0.123657f, 0.151611f, 0.185791f, 0.225342f, - 0.270752f, 0.322754f, 0.727051f, 0.746094f, 0.749512f, 0.750977f, 0.751953f, 0.751953f, 0.000228f, 0.000211f, 0.000504f, 0.000443f, - 0.000523f, 0.000672f, 0.000703f, 0.000902f, 0.000975f, 0.001010f, 0.001122f, 0.001178f, 0.001257f, 0.001424f, 0.001575f, 0.001631f, - 0.001789f, 0.001910f, 0.002090f, 0.002144f, 0.002411f, 0.002520f, 0.002703f, 0.002827f, 0.003010f, 0.003195f, 0.003403f, 0.003750f, - 0.003960f, 0.004276f, 0.004780f, 0.005005f, 0.005432f, 0.005981f, 0.006428f, 0.007015f, 0.007812f, 0.008537f, 0.009415f, 0.010658f, - 0.011963f, 0.013443f, 0.015396f, 0.017731f, 0.020782f, 0.024414f, 0.029083f, 0.034912f, 0.042572f, 0.052216f, 0.064392f, 0.080017f, - 0.100220f, 0.126099f, 0.157227f, 0.194946f, 0.239136f, 0.290283f, 0.712402f, 0.731445f, 0.734863f, 0.736816f, 0.737305f, 0.737793f, - 0.000211f, 0.000198f, 0.000195f, 0.000413f, 0.000517f, 0.000531f, 0.000586f, 0.000736f, 0.000769f, 0.000809f, 0.000970f, 0.001007f, - 0.001067f, 0.001134f, 0.001211f, 0.001348f, 0.001341f, 0.001534f, 0.001617f, 0.001734f, 0.001942f, 0.002010f, 0.002110f, 0.002268f, - 0.002523f, 0.002607f, 0.002829f, 0.003004f, 0.003113f, 0.003403f, 0.003681f, 0.003990f, 0.004257f, 0.004601f, 0.005039f, 0.005444f, - 0.005993f, 0.006561f, 0.007278f, 0.008026f, 0.009041f, 0.010124f, 0.011513f, 0.013222f, 0.015320f, 0.017914f, 0.021408f, 0.025833f, - 0.031433f, 0.039429f, 0.049255f, 0.062286f, 0.079102f, 0.101135f, 0.130005f, 0.164917f, 0.207764f, 0.258057f, 0.696289f, 0.716309f, - 0.720215f, 0.722168f, 0.722656f, 0.723145f, 0.000000f, 0.000080f, 0.000286f, 0.000374f, 0.000434f, 0.000457f, 0.000460f, 0.000568f, - 0.000610f, 0.000669f, 0.000715f, 0.000773f, 0.000877f, 0.000918f, 0.001030f, 0.000998f, 0.001148f, 0.001134f, 0.001305f, 0.001369f, - 0.001410f, 0.001534f, 0.001688f, 0.001780f, 0.001899f, 0.001963f, 0.002081f, 0.002199f, 0.002470f, 0.002563f, 0.002758f, 0.003006f, - 0.003273f, 0.003531f, 0.003817f, 0.004093f, 0.004532f, 0.004993f, 0.005463f, 0.006027f, 0.006657f, 0.007492f, 0.008537f, 0.009689f, - 0.011246f, 0.012985f, 0.015518f, 0.018539f, 0.022827f, 0.028534f, 0.036072f, 0.046234f, 0.060028f, 0.078918f, 0.103943f, 0.136353f, - 0.176514f, 0.225952f, 0.679199f, 0.699707f, 0.703613f, 0.706055f, 0.706543f, 0.708008f, 0.000089f, 0.000176f, 0.000232f, 0.000342f, - 0.000317f, 0.000319f, 0.000420f, 0.000382f, 0.000494f, 0.000515f, 0.000612f, 0.000650f, 0.000671f, 0.000701f, 0.000732f, 0.000859f, - 0.000888f, 0.000923f, 0.001002f, 0.001048f, 0.001170f, 0.001234f, 0.001292f, 0.001426f, 0.001414f, 0.001476f, 0.001622f, 0.001723f, - 0.001892f, 0.001976f, 0.002237f, 0.002239f, 0.002476f, 0.002645f, 0.002817f, 0.003092f, 0.003355f, 0.003626f, 0.003979f, 0.004459f, - 0.004948f, 0.005527f, 0.006256f, 0.007027f, 0.008026f, 0.009270f, 0.010918f, 0.013184f, 0.016098f, 0.019913f, 0.025253f, 0.033112f, - 0.043762f, 0.059113f, 0.079956f, 0.109009f, 0.146729f, 0.193726f, 0.660645f, 0.682129f, 0.688477f, 0.690430f, 0.689941f, 0.690918f, - 0.000000f, 0.000063f, 0.000194f, 0.000281f, 0.000187f, 0.000325f, 0.000278f, 0.000272f, 0.000386f, 0.000466f, 0.000462f, 0.000510f, - 0.000519f, 0.000587f, 0.000613f, 0.000603f, 0.000671f, 0.000709f, 0.000744f, 0.000808f, 0.000858f, 0.000913f, 0.000963f, 0.000999f, - 0.001062f, 0.001106f, 0.001262f, 0.001266f, 0.001431f, 0.001562f, 0.001672f, 0.001693f, 0.001810f, 0.001976f, 0.002090f, 0.002289f, - 0.002422f, 0.002666f, 0.002916f, 0.003166f, 0.003513f, 0.003862f, 0.004318f, 0.004936f, 0.005646f, 0.006493f, 0.007626f, 0.009048f, - 0.010826f, 0.013519f, 0.017166f, 0.022476f, 0.030258f, 0.041687f, 0.058807f, 0.083435f, 0.117737f, 0.162598f, 0.644043f, 0.666504f, - 0.670410f, 0.673340f, 0.674316f, 0.675293f, 0.000000f, 0.000117f, 0.000112f, 0.000178f, 0.000216f, 0.000222f, 0.000271f, 0.000229f, - 0.000280f, 0.000283f, 0.000326f, 0.000376f, 0.000376f, 0.000443f, 0.000456f, 0.000470f, 0.000499f, 0.000507f, 0.000547f, 0.000566f, - 0.000613f, 0.000667f, 0.000692f, 0.000749f, 0.000773f, 0.000803f, 0.000917f, 0.000924f, 0.000997f, 0.001055f, 0.001096f, 0.001236f, - 0.001261f, 0.001376f, 0.001466f, 0.001693f, 0.001695f, 0.001826f, 0.002077f, 0.002226f, 0.002411f, 0.002686f, 0.002985f, 0.003368f, - 0.003801f, 0.004353f, 0.005131f, 0.005974f, 0.007370f, 0.008842f, 0.011345f, 0.014717f, 0.019699f, 0.027893f, 0.040619f, 0.060730f, - 0.090454f, 0.132080f, 0.625488f, 0.649414f, 0.653809f, 0.655273f, 0.656250f, 0.658203f, 0.000000f, 0.000000f, 0.000108f, 0.000121f, - 0.000136f, 0.000154f, 0.000158f, 0.000191f, 0.000203f, 0.000213f, 0.000270f, 0.000223f, 0.000232f, 0.000270f, 0.000296f, 0.000342f, - 0.000324f, 0.000352f, 0.000453f, 0.000407f, 0.000450f, 0.000459f, 0.000486f, 0.000524f, 0.000545f, 0.000565f, 0.000630f, 0.000620f, - 0.000678f, 0.000803f, 0.000763f, 0.000813f, 0.000860f, 0.000937f, 0.001035f, 0.001101f, 0.001141f, 0.001254f, 0.001399f, 0.001449f, - 0.001616f, 0.001779f, 0.001942f, 0.002220f, 0.002493f, 0.002808f, 0.003258f, 0.003895f, 0.004623f, 0.005714f, 0.007111f, 0.009178f, - 0.012367f, 0.017319f, 0.025879f, 0.040741f, 0.065552f, 0.103577f, 0.606934f, 0.630371f, 0.635254f, 0.637695f, 0.638672f, 0.639648f, - 0.000000f, 0.000109f, 0.000102f, 0.000098f, 0.000105f, 0.000110f, 0.000113f, 0.000122f, 0.000117f, 0.000132f, 0.000147f, 0.000189f, - 0.000163f, 0.000212f, 0.000213f, 0.000222f, 0.000224f, 0.000233f, 0.000258f, 0.000262f, 0.000274f, 0.000305f, 0.000340f, 0.000329f, - 0.000358f, 0.000376f, 0.000445f, 0.000418f, 0.000447f, 0.000478f, 0.000546f, 0.000530f, 0.000594f, 0.000626f, 0.000679f, 0.000745f, - 0.000763f, 0.000804f, 0.000869f, 0.000952f, 0.001025f, 0.001119f, 0.001254f, 0.001359f, 0.001584f, 0.001728f, 0.001993f, 0.002295f, - 0.002790f, 0.003298f, 0.004135f, 0.005363f, 0.007267f, 0.010277f, 0.015350f, 0.024994f, 0.043518f, 0.076599f, 0.585938f, 0.611816f, - 0.616211f, 0.619141f, 0.619629f, 0.620605f, 0.000000f, 0.000102f, 0.000095f, 0.000090f, 0.000085f, 0.000081f, 0.000078f, 0.000073f, - 0.000075f, 0.000079f, 0.000087f, 0.000092f, 0.000095f, 0.000094f, 0.000133f, 0.000143f, 0.000152f, 0.000155f, 0.000161f, 0.000195f, - 0.000174f, 0.000183f, 0.000188f, 0.000216f, 0.000233f, 0.000241f, 0.000241f, 0.000257f, 0.000269f, 0.000302f, 0.000325f, 0.000321f, - 0.000350f, 0.000363f, 0.000405f, 0.000426f, 0.000456f, 0.000486f, 0.000539f, 0.000560f, 0.000614f, 0.000671f, 0.000722f, 0.000811f, - 0.000891f, 0.000989f, 0.001162f, 0.001312f, 0.001545f, 0.001863f, 0.002340f, 0.002920f, 0.003963f, 0.005615f, 0.008499f, 0.013931f, - 0.025833f, 0.052094f, 0.566406f, 0.591797f, 0.597168f, 0.599609f, 0.601074f, 0.601562f, 0.000110f, 0.000092f, 0.000084f, 0.000077f, - 0.000073f, 0.000070f, 0.000067f, 0.000064f, 0.000061f, 0.000058f, 0.000055f, 0.000064f, 0.000051f, 0.000054f, 0.000071f, 0.000059f, - 0.000082f, 0.000081f, 0.000090f, 0.000087f, 0.000099f, 0.000103f, 0.000127f, 0.000131f, 0.000135f, 0.000139f, 0.000142f, 0.000143f, - 0.000156f, 0.000162f, 0.000173f, 0.000194f, 0.000206f, 0.000201f, 0.000233f, 0.000225f, 0.000246f, 0.000294f, 0.000279f, 0.000313f, - 0.000333f, 0.000356f, 0.000395f, 0.000432f, 0.000459f, 0.000511f, 0.000577f, 0.000664f, 0.000770f, 0.000916f, 0.001114f, 0.001400f, - 0.001881f, 0.002665f, 0.004093f, 0.006966f, 0.013290f, 0.031525f, 0.545410f, 0.571777f, 0.577637f, 0.579102f, 0.580566f, 0.581055f, - 0.000093f, 0.000073f, 0.000066f, 0.000061f, 0.000056f, 0.000054f, 0.000051f, 0.000050f, 0.000048f, 0.000047f, 0.000045f, 0.000044f, - 0.000042f, 0.000040f, 0.000038f, 0.000036f, 0.000039f, 0.000033f, 0.000041f, 0.000040f, 0.000046f, 0.000048f, 0.000051f, 0.000057f, - 0.000060f, 0.000066f, 0.000062f, 0.000067f, 0.000080f, 0.000085f, 0.000088f, 0.000092f, 0.000092f, 0.000097f, 0.000109f, 0.000109f, - 0.000117f, 0.000132f, 0.000134f, 0.000147f, 0.000154f, 0.000156f, 0.000188f, 0.000197f, 0.000219f, 0.000234f, 0.000266f, 0.000286f, - 0.000335f, 0.000397f, 0.000472f, 0.000566f, 0.000751f, 0.001039f, 0.001626f, 0.002834f, 0.005909f, 0.015411f, 0.524414f, 0.551270f, - 0.557129f, 0.559570f, 0.561035f, 0.561523f, 0.000060f, 0.000046f, 0.000039f, 0.000037f, 0.000034f, 0.000034f, 0.000032f, 0.000032f, - 0.000031f, 0.000029f, 0.000029f, 0.000029f, 0.000028f, 0.000028f, 0.000028f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, - 0.000022f, 0.000021f, 0.000020f, 0.000021f, 0.000020f, 0.000018f, 0.000018f, 0.000023f, 0.000024f, 0.000028f, 0.000032f, 0.000033f, - 0.000032f, 0.000038f, 0.000039f, 0.000043f, 0.000046f, 0.000050f, 0.000052f, 0.000053f, 0.000057f, 0.000067f, 0.000073f, 0.000068f, - 0.000076f, 0.000083f, 0.000097f, 0.000110f, 0.000116f, 0.000127f, 0.000157f, 0.000185f, 0.000246f, 0.000319f, 0.000466f, 0.000810f, - 0.001841f, 0.005795f, 0.503418f, 0.531250f, 0.536621f, 0.539062f, 0.540039f, 0.540527f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000004f, 0.000005f, 0.000005f, 0.000008f, 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000010f, 0.000010f, 0.000011f, - 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, - 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000012f, - 0.000013f, 0.000014f, 0.000015f, 0.000017f, 0.000020f, 0.000021f, 0.000018f, 0.000023f, 0.000023f, 0.000025f, 0.000030f, 0.000038f, - 0.000043f, 0.000059f, 0.000079f, 0.000131f, 0.000279f, 0.001210f, 0.481934f, 0.510254f, 0.516113f, 0.518555f, 0.520020f, 0.520508f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, - 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000006f, 0.000022f, 0.460449f, 0.489258f, - 0.495850f, 0.498291f, 0.499512f, 0.500000f, - }, - { - 0.038544f, 0.111450f, 0.177368f, 0.237061f, 0.290771f, 0.339600f, 0.384277f, 0.425293f, 0.462402f, 0.497070f, 0.527344f, 0.556152f, - 0.583496f, 0.607910f, 0.630859f, 0.652344f, 0.672852f, 0.690918f, 0.708496f, 0.724609f, 0.740723f, 0.754883f, 0.768066f, 0.780273f, - 0.792480f, 0.803711f, 0.815430f, 0.825684f, 0.835449f, 0.844727f, 0.853516f, 0.861816f, 0.870117f, 0.877930f, 0.885254f, 0.892578f, - 0.899414f, 0.905762f, 0.912109f, 0.918945f, 0.923828f, 0.928711f, 0.934082f, 0.939941f, 0.944824f, 0.949707f, 0.953613f, 0.958496f, - 0.962402f, 0.967285f, 0.971191f, 0.974609f, 0.979004f, 0.982422f, 0.985352f, 0.989258f, 0.992188f, 0.996094f, 0.996094f, 0.990723f, - 0.986328f, 0.982422f, 0.978516f, 0.975098f, 0.029068f, 0.087219f, 0.142578f, 0.195190f, 0.244629f, 0.291016f, 0.334717f, 0.375000f, - 0.412842f, 0.446533f, 0.481201f, 0.511230f, 0.539062f, 0.565918f, 0.590820f, 0.614258f, 0.636719f, 0.656250f, 0.675293f, 0.693359f, - 0.710449f, 0.726562f, 0.741699f, 0.755371f, 0.769043f, 0.781738f, 0.793457f, 0.805176f, 0.815918f, 0.826660f, 0.835938f, 0.845703f, - 0.854980f, 0.862793f, 0.871582f, 0.879395f, 0.885742f, 0.894531f, 0.900879f, 0.907227f, 0.913086f, 0.919434f, 0.925293f, 0.931152f, - 0.936523f, 0.941406f, 0.946777f, 0.951172f, 0.956055f, 0.960449f, 0.964355f, 0.968750f, 0.972656f, 0.976562f, 0.980469f, 0.984375f, - 0.987793f, 0.991211f, 0.994141f, 0.989258f, 0.984863f, 0.981445f, 0.977539f, 0.974121f, 0.023346f, 0.069641f, 0.115601f, 0.160767f, - 0.205078f, 0.248047f, 0.289062f, 0.328125f, 0.365723f, 0.401367f, 0.435059f, 0.466309f, 0.495361f, 0.523926f, 0.550781f, 0.574707f, - 0.597168f, 0.620117f, 0.641113f, 0.660156f, 0.679688f, 0.696777f, 0.713379f, 0.728516f, 0.743652f, 0.757324f, 0.770996f, 0.784180f, - 0.795410f, 0.806641f, 0.817383f, 0.828125f, 0.837891f, 0.847168f, 0.855957f, 0.864258f, 0.873047f, 0.880859f, 0.888672f, 0.895996f, - 0.902832f, 0.909668f, 0.915039f, 0.921875f, 0.927246f, 0.934082f, 0.937988f, 0.943848f, 0.948242f, 0.953613f, 0.958496f, 0.962402f, - 0.967285f, 0.971191f, 0.975098f, 0.979492f, 0.983398f, 0.985840f, 0.992188f, 0.987305f, 0.983398f, 0.979980f, 0.977051f, 0.973633f, - 0.018600f, 0.056366f, 0.094299f, 0.133545f, 0.172729f, 0.211670f, 0.249756f, 0.285889f, 0.322021f, 0.356934f, 0.390869f, 0.421875f, - 0.452148f, 0.481201f, 0.509277f, 0.535156f, 0.560059f, 0.583496f, 0.605957f, 0.626465f, 0.647949f, 0.665527f, 0.684570f, 0.700684f, - 0.717285f, 0.731934f, 0.746582f, 0.760254f, 0.773926f, 0.786621f, 0.799316f, 0.809082f, 0.820312f, 0.830566f, 0.840332f, 0.850098f, - 0.858887f, 0.867188f, 0.875000f, 0.883789f, 0.890625f, 0.898926f, 0.904297f, 0.912109f, 0.916992f, 0.924316f, 0.930176f, 0.935547f, - 0.941406f, 0.945801f, 0.951172f, 0.956055f, 0.960938f, 0.964844f, 0.969727f, 0.974609f, 0.978516f, 0.981934f, 0.989746f, 0.985840f, - 0.981934f, 0.978516f, 0.975586f, 0.972168f, 0.015068f, 0.046143f, 0.077881f, 0.111816f, 0.145264f, 0.179688f, 0.214600f, 0.249023f, - 0.282715f, 0.316406f, 0.348389f, 0.380615f, 0.411133f, 0.440430f, 0.468018f, 0.494873f, 0.520508f, 0.546387f, 0.568848f, 0.591309f, - 0.613281f, 0.634277f, 0.653809f, 0.670898f, 0.688477f, 0.706055f, 0.721191f, 0.736328f, 0.751465f, 0.764648f, 0.776855f, 0.789551f, - 0.801270f, 0.812500f, 0.823730f, 0.833496f, 0.843262f, 0.853027f, 0.861328f, 0.869629f, 0.878418f, 0.885742f, 0.893555f, 0.900391f, - 0.908203f, 0.914551f, 0.921387f, 0.927246f, 0.932617f, 0.938965f, 0.943848f, 0.949219f, 0.953613f, 0.959473f, 0.963867f, 0.968262f, - 0.972656f, 0.977051f, 0.987305f, 0.983887f, 0.980957f, 0.977051f, 0.974121f, 0.970703f, 0.012444f, 0.037933f, 0.065613f, 0.093811f, - 0.123474f, 0.153809f, 0.185059f, 0.215820f, 0.247559f, 0.279297f, 0.310547f, 0.341309f, 0.370361f, 0.399658f, 0.428467f, 0.457031f, - 0.482910f, 0.507812f, 0.533203f, 0.556152f, 0.579590f, 0.600098f, 0.621094f, 0.641113f, 0.659668f, 0.676270f, 0.695312f, 0.710449f, - 0.726074f, 0.740723f, 0.756348f, 0.769043f, 0.780762f, 0.794434f, 0.805176f, 0.816895f, 0.827637f, 0.837891f, 0.847168f, 0.855957f, - 0.865723f, 0.873535f, 0.882324f, 0.889648f, 0.897949f, 0.904297f, 0.911133f, 0.917480f, 0.924316f, 0.930176f, 0.936523f, 0.941895f, - 0.947266f, 0.952637f, 0.958008f, 0.962891f, 0.967285f, 0.971680f, 0.984863f, 0.981934f, 0.978516f, 0.975586f, 0.972656f, 0.969238f, - 0.010353f, 0.032043f, 0.055359f, 0.079529f, 0.104980f, 0.131836f, 0.159424f, 0.187866f, 0.216431f, 0.245239f, 0.275146f, 0.304199f, - 0.333496f, 0.362061f, 0.390869f, 0.417969f, 0.445068f, 0.471191f, 0.496582f, 0.520508f, 0.543457f, 0.566895f, 0.588867f, 0.608398f, - 0.628906f, 0.648438f, 0.666992f, 0.684570f, 0.701660f, 0.716797f, 0.732422f, 0.746582f, 0.760254f, 0.773438f, 0.786133f, 0.798340f, - 0.810547f, 0.821777f, 0.832520f, 0.842773f, 0.851074f, 0.860352f, 0.869629f, 0.878906f, 0.886230f, 0.894043f, 0.901855f, 0.908691f, - 0.915527f, 0.922363f, 0.928223f, 0.935059f, 0.939941f, 0.945312f, 0.950684f, 0.956055f, 0.962402f, 0.966797f, 0.982910f, 0.979980f, - 0.977051f, 0.973633f, 0.970703f, 0.968262f, 0.008598f, 0.027328f, 0.046417f, 0.067871f, 0.089905f, 0.113220f, 0.137695f, 0.163330f, - 0.189087f, 0.216064f, 0.243164f, 0.270752f, 0.298340f, 0.326416f, 0.354004f, 0.381348f, 0.407715f, 0.434082f, 0.460205f, 0.484863f, - 0.508789f, 0.532227f, 0.555176f, 0.577637f, 0.598145f, 0.618652f, 0.637695f, 0.657227f, 0.674805f, 0.691406f, 0.708008f, 0.723633f, - 0.738770f, 0.751953f, 0.766113f, 0.779785f, 0.791992f, 0.804199f, 0.815918f, 0.825684f, 0.836914f, 0.846680f, 0.856934f, 0.866211f, - 0.874512f, 0.882324f, 0.890625f, 0.898438f, 0.905273f, 0.913086f, 0.919922f, 0.926758f, 0.933105f, 0.938477f, 0.944824f, 0.951172f, - 0.955566f, 0.960938f, 0.980469f, 0.978027f, 0.974609f, 0.972168f, 0.969238f, 0.966797f, 0.007561f, 0.023315f, 0.040344f, 0.058228f, - 0.077148f, 0.097534f, 0.119995f, 0.142212f, 0.165649f, 0.190063f, 0.214722f, 0.240601f, 0.266846f, 0.293457f, 0.319824f, 0.346924f, - 0.372314f, 0.398438f, 0.424561f, 0.449463f, 0.474609f, 0.498535f, 0.521973f, 0.544434f, 0.566895f, 0.587402f, 0.608398f, 0.628418f, - 0.645996f, 0.665039f, 0.683105f, 0.699219f, 0.716309f, 0.731445f, 0.745117f, 0.760254f, 0.772949f, 0.786133f, 0.799316f, 0.809570f, - 0.820801f, 0.832031f, 0.843262f, 0.852051f, 0.861816f, 0.871094f, 0.880371f, 0.887695f, 0.895996f, 0.904297f, 0.911133f, 0.917969f, - 0.924805f, 0.931641f, 0.937012f, 0.943848f, 0.949707f, 0.954590f, 0.978027f, 0.976074f, 0.973145f, 0.970215f, 0.967773f, 0.965332f, - 0.006416f, 0.020065f, 0.034943f, 0.050537f, 0.067078f, 0.084900f, 0.104065f, 0.123962f, 0.145264f, 0.166748f, 0.189575f, 0.213501f, - 0.237305f, 0.262451f, 0.288574f, 0.313477f, 0.338623f, 0.364502f, 0.389893f, 0.414551f, 0.440186f, 0.464600f, 0.487549f, 0.510742f, - 0.534668f, 0.556641f, 0.578613f, 0.598145f, 0.618652f, 0.637207f, 0.655273f, 0.674805f, 0.690430f, 0.707031f, 0.724121f, 0.739258f, - 0.752930f, 0.767090f, 0.779785f, 0.792969f, 0.805176f, 0.816895f, 0.827637f, 0.838379f, 0.849121f, 0.858398f, 0.868652f, 0.876465f, - 0.885742f, 0.894043f, 0.901855f, 0.909180f, 0.916992f, 0.923828f, 0.930176f, 0.937012f, 0.943359f, 0.949707f, 0.975586f, 0.973633f, - 0.971191f, 0.968262f, 0.965820f, 0.963379f, 0.005802f, 0.017502f, 0.030045f, 0.043823f, 0.058014f, 0.074280f, 0.090759f, 0.108459f, - 0.127197f, 0.146484f, 0.167725f, 0.189087f, 0.211304f, 0.234497f, 0.258301f, 0.282471f, 0.307373f, 0.331299f, 0.356689f, 0.381104f, - 0.405762f, 0.430420f, 0.455078f, 0.478516f, 0.502441f, 0.524414f, 0.545898f, 0.568359f, 0.588867f, 0.608887f, 0.628906f, 0.646973f, - 0.665527f, 0.684082f, 0.701172f, 0.715820f, 0.731934f, 0.746582f, 0.760742f, 0.774414f, 0.787598f, 0.800781f, 0.812500f, 0.823730f, - 0.834961f, 0.845703f, 0.855469f, 0.865234f, 0.874512f, 0.883789f, 0.892090f, 0.899902f, 0.908203f, 0.916016f, 0.922852f, 0.930176f, - 0.936523f, 0.942871f, 0.972656f, 0.971191f, 0.968750f, 0.966309f, 0.963867f, 0.961426f, 0.004734f, 0.014984f, 0.026169f, 0.038177f, - 0.051208f, 0.065186f, 0.079468f, 0.095276f, 0.111633f, 0.129639f, 0.148071f, 0.167969f, 0.188599f, 0.208984f, 0.231689f, 0.254639f, - 0.277832f, 0.301025f, 0.325439f, 0.349854f, 0.373779f, 0.397705f, 0.422607f, 0.446045f, 0.469727f, 0.492676f, 0.514648f, 0.537598f, - 0.559570f, 0.580078f, 0.600586f, 0.620117f, 0.639648f, 0.658203f, 0.676758f, 0.692871f, 0.708984f, 0.725586f, 0.740723f, 0.755859f, - 0.769531f, 0.783691f, 0.796875f, 0.808594f, 0.820801f, 0.832520f, 0.842285f, 0.852539f, 0.862793f, 0.872070f, 0.881836f, 0.890137f, - 0.898926f, 0.906738f, 0.915039f, 0.922363f, 0.929199f, 0.936523f, 0.969727f, 0.968750f, 0.966797f, 0.964355f, 0.961914f, 0.959473f, - 0.004055f, 0.013588f, 0.023132f, 0.033722f, 0.044891f, 0.057343f, 0.069763f, 0.083923f, 0.098389f, 0.114441f, 0.131226f, 0.148682f, - 0.167603f, 0.186768f, 0.207031f, 0.228516f, 0.250732f, 0.272949f, 0.295410f, 0.318604f, 0.342285f, 0.365967f, 0.390381f, 0.413574f, - 0.437744f, 0.460938f, 0.484131f, 0.506348f, 0.528320f, 0.550781f, 0.572266f, 0.592773f, 0.613281f, 0.632812f, 0.651367f, 0.669922f, - 0.687500f, 0.704102f, 0.720215f, 0.735840f, 0.751465f, 0.764160f, 0.778809f, 0.792480f, 0.803711f, 0.816895f, 0.829102f, 0.840332f, - 0.850586f, 0.860352f, 0.870605f, 0.880371f, 0.889648f, 0.897949f, 0.905762f, 0.914551f, 0.922363f, 0.929199f, 0.967285f, 0.966797f, - 0.964844f, 0.961426f, 0.959473f, 0.958008f, 0.003611f, 0.011971f, 0.020401f, 0.030029f, 0.039185f, 0.050415f, 0.061737f, 0.074341f, - 0.086975f, 0.101074f, 0.115845f, 0.131958f, 0.148682f, 0.166626f, 0.185059f, 0.205200f, 0.224854f, 0.245483f, 0.267334f, 0.290771f, - 0.312988f, 0.335449f, 0.359619f, 0.382080f, 0.406250f, 0.429443f, 0.452881f, 0.475830f, 0.498779f, 0.520996f, 0.542480f, 0.563477f, - 0.584473f, 0.604980f, 0.625977f, 0.643555f, 0.663086f, 0.681152f, 0.698242f, 0.714355f, 0.729980f, 0.746582f, 0.760742f, 0.774902f, - 0.788086f, 0.801758f, 0.814941f, 0.826660f, 0.838867f, 0.848633f, 0.859863f, 0.869141f, 0.879395f, 0.889160f, 0.897949f, 0.906250f, - 0.914551f, 0.922363f, 0.963867f, 0.964355f, 0.961914f, 0.959961f, 0.957520f, 0.955078f, 0.003393f, 0.010361f, 0.018494f, 0.026337f, - 0.035187f, 0.044556f, 0.054596f, 0.065186f, 0.077515f, 0.089783f, 0.102783f, 0.117249f, 0.132446f, 0.148071f, 0.165649f, 0.183838f, - 0.202026f, 0.221313f, 0.241943f, 0.262939f, 0.285156f, 0.307129f, 0.329102f, 0.352539f, 0.375977f, 0.398438f, 0.421875f, 0.445312f, - 0.468750f, 0.490723f, 0.512695f, 0.534668f, 0.556641f, 0.577637f, 0.598633f, 0.619141f, 0.637695f, 0.656738f, 0.674805f, 0.692383f, - 0.709473f, 0.726074f, 0.742188f, 0.756836f, 0.771973f, 0.786133f, 0.799316f, 0.812012f, 0.824707f, 0.835938f, 0.848145f, 0.858887f, - 0.868164f, 0.878906f, 0.888184f, 0.897949f, 0.906250f, 0.914551f, 0.960938f, 0.960938f, 0.959473f, 0.957520f, 0.955078f, 0.953125f, - 0.003084f, 0.009521f, 0.016144f, 0.023346f, 0.031204f, 0.039520f, 0.048523f, 0.057953f, 0.068359f, 0.079895f, 0.091309f, 0.104126f, - 0.117920f, 0.132324f, 0.147949f, 0.164062f, 0.181396f, 0.199219f, 0.218872f, 0.238403f, 0.258545f, 0.279541f, 0.301758f, 0.323486f, - 0.346191f, 0.368408f, 0.391846f, 0.414795f, 0.437256f, 0.460693f, 0.483643f, 0.505371f, 0.527832f, 0.550293f, 0.571289f, 0.591797f, - 0.612305f, 0.632324f, 0.651855f, 0.670898f, 0.687500f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768555f, 0.783691f, 0.796875f, - 0.811035f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868652f, 0.878418f, 0.887695f, 0.897949f, 0.906250f, 0.958008f, 0.958008f, - 0.957031f, 0.954590f, 0.952637f, 0.950684f, 0.002666f, 0.008293f, 0.014297f, 0.021225f, 0.027847f, 0.035156f, 0.043274f, 0.051666f, - 0.060791f, 0.070801f, 0.081543f, 0.092407f, 0.104858f, 0.118530f, 0.131836f, 0.146606f, 0.162598f, 0.179443f, 0.196777f, 0.215210f, - 0.234375f, 0.254150f, 0.274414f, 0.295898f, 0.317871f, 0.340088f, 0.362549f, 0.385010f, 0.407959f, 0.430664f, 0.454590f, 0.476562f, - 0.499268f, 0.521484f, 0.543945f, 0.564941f, 0.585938f, 0.606934f, 0.626465f, 0.646484f, 0.665527f, 0.683594f, 0.701660f, 0.717773f, - 0.735352f, 0.751465f, 0.766113f, 0.781738f, 0.794922f, 0.808105f, 0.821289f, 0.833496f, 0.846191f, 0.857910f, 0.868164f, 0.878906f, - 0.889160f, 0.899414f, 0.954102f, 0.955566f, 0.953613f, 0.952148f, 0.950195f, 0.948730f, 0.002396f, 0.007427f, 0.012978f, 0.018646f, - 0.025024f, 0.031403f, 0.038788f, 0.046112f, 0.054260f, 0.063354f, 0.072693f, 0.082886f, 0.093689f, 0.105469f, 0.118164f, 0.130859f, - 0.145996f, 0.161011f, 0.177124f, 0.193359f, 0.211670f, 0.230225f, 0.249634f, 0.270020f, 0.290771f, 0.311768f, 0.333740f, 0.356201f, - 0.378906f, 0.401855f, 0.424561f, 0.447754f, 0.470215f, 0.493408f, 0.515137f, 0.537109f, 0.559570f, 0.580078f, 0.601074f, 0.621582f, - 0.642090f, 0.661621f, 0.679688f, 0.697754f, 0.715820f, 0.732422f, 0.749512f, 0.765137f, 0.779785f, 0.794434f, 0.808594f, 0.821289f, - 0.833496f, 0.846191f, 0.857910f, 0.869141f, 0.879883f, 0.889648f, 0.950195f, 0.952637f, 0.950684f, 0.948730f, 0.947266f, 0.945801f, - 0.002029f, 0.006672f, 0.011658f, 0.016937f, 0.022476f, 0.028305f, 0.034332f, 0.041351f, 0.048584f, 0.056671f, 0.064697f, 0.073853f, - 0.083923f, 0.094482f, 0.105225f, 0.117798f, 0.130615f, 0.144287f, 0.159302f, 0.174683f, 0.190430f, 0.208740f, 0.226318f, 0.245483f, - 0.264893f, 0.285400f, 0.307129f, 0.328369f, 0.350342f, 0.372803f, 0.395264f, 0.418701f, 0.441650f, 0.462891f, 0.486816f, 0.509277f, - 0.532227f, 0.553711f, 0.575684f, 0.596680f, 0.617676f, 0.638672f, 0.657715f, 0.676758f, 0.695312f, 0.712402f, 0.729492f, 0.746582f, - 0.762695f, 0.778320f, 0.793457f, 0.807129f, 0.820801f, 0.833984f, 0.846191f, 0.858887f, 0.869629f, 0.881836f, 0.947266f, 0.949219f, - 0.947754f, 0.946289f, 0.944824f, 0.942871f, 0.002142f, 0.006401f, 0.010841f, 0.015251f, 0.019760f, 0.025055f, 0.031113f, 0.037201f, - 0.043671f, 0.050598f, 0.057892f, 0.066101f, 0.075012f, 0.084351f, 0.093994f, 0.105164f, 0.117432f, 0.129517f, 0.142822f, 0.157104f, - 0.172119f, 0.188110f, 0.204956f, 0.223145f, 0.241577f, 0.260498f, 0.280762f, 0.301758f, 0.322998f, 0.345215f, 0.366943f, 0.389893f, - 0.412842f, 0.435791f, 0.458008f, 0.482178f, 0.504395f, 0.526855f, 0.548828f, 0.571289f, 0.592285f, 0.612793f, 0.634277f, 0.654297f, - 0.673340f, 0.692383f, 0.710938f, 0.729004f, 0.745117f, 0.762207f, 0.777832f, 0.792480f, 0.807129f, 0.821289f, 0.834961f, 0.847168f, - 0.859863f, 0.871582f, 0.943359f, 0.946289f, 0.944824f, 0.943359f, 0.941895f, 0.940430f, 0.001760f, 0.005562f, 0.009621f, 0.013710f, - 0.018417f, 0.022736f, 0.027939f, 0.033264f, 0.039185f, 0.045166f, 0.052460f, 0.059143f, 0.067261f, 0.075745f, 0.084106f, 0.094177f, - 0.104980f, 0.116455f, 0.128174f, 0.141113f, 0.155151f, 0.169922f, 0.184937f, 0.201660f, 0.219238f, 0.237549f, 0.256348f, 0.276367f, - 0.296875f, 0.317871f, 0.339844f, 0.361572f, 0.383789f, 0.407227f, 0.430908f, 0.453857f, 0.476807f, 0.498779f, 0.521973f, 0.543945f, - 0.567383f, 0.589355f, 0.609863f, 0.631348f, 0.651855f, 0.671875f, 0.690918f, 0.709961f, 0.727539f, 0.744141f, 0.761719f, 0.777344f, - 0.793457f, 0.808594f, 0.823242f, 0.835449f, 0.848633f, 0.861328f, 0.938965f, 0.941895f, 0.941406f, 0.940430f, 0.938477f, 0.937012f, - 0.001594f, 0.005283f, 0.008789f, 0.012383f, 0.016342f, 0.020523f, 0.025284f, 0.029968f, 0.035217f, 0.040741f, 0.046417f, 0.052948f, - 0.060120f, 0.067566f, 0.076294f, 0.084534f, 0.093750f, 0.104614f, 0.115173f, 0.126831f, 0.139160f, 0.152832f, 0.166748f, 0.181885f, - 0.198853f, 0.215698f, 0.233521f, 0.252197f, 0.271973f, 0.291992f, 0.313477f, 0.334717f, 0.357178f, 0.379395f, 0.401855f, 0.425537f, - 0.448242f, 0.471924f, 0.495361f, 0.517578f, 0.541016f, 0.562988f, 0.585938f, 0.607422f, 0.627930f, 0.649414f, 0.670410f, 0.688965f, - 0.708496f, 0.727539f, 0.744629f, 0.761719f, 0.778809f, 0.794922f, 0.809082f, 0.824219f, 0.838379f, 0.851074f, 0.935059f, 0.938965f, - 0.937988f, 0.937012f, 0.936035f, 0.933594f, 0.001564f, 0.004665f, 0.007973f, 0.011276f, 0.014908f, 0.018600f, 0.022675f, 0.027176f, - 0.031464f, 0.036621f, 0.042023f, 0.047974f, 0.054108f, 0.060822f, 0.068237f, 0.075684f, 0.084229f, 0.093567f, 0.103210f, 0.113892f, - 0.125000f, 0.137329f, 0.150269f, 0.164307f, 0.179810f, 0.194946f, 0.212158f, 0.229248f, 0.247925f, 0.267578f, 0.287842f, 0.308350f, - 0.330322f, 0.352051f, 0.374756f, 0.397461f, 0.420654f, 0.444092f, 0.466797f, 0.490723f, 0.514160f, 0.537109f, 0.560059f, 0.582031f, - 0.604980f, 0.626953f, 0.648926f, 0.668457f, 0.688477f, 0.708008f, 0.727539f, 0.745117f, 0.763672f, 0.779297f, 0.795410f, 0.811523f, - 0.826660f, 0.840332f, 0.930664f, 0.934570f, 0.934082f, 0.933594f, 0.932129f, 0.930664f, 0.001424f, 0.004261f, 0.007122f, 0.010239f, - 0.013374f, 0.016693f, 0.020401f, 0.024368f, 0.028595f, 0.033325f, 0.037964f, 0.043152f, 0.048340f, 0.054962f, 0.060730f, 0.067749f, - 0.075684f, 0.083862f, 0.092041f, 0.102051f, 0.112305f, 0.123657f, 0.135376f, 0.148071f, 0.161987f, 0.176270f, 0.192139f, 0.208252f, - 0.226196f, 0.244141f, 0.263672f, 0.283447f, 0.304199f, 0.325195f, 0.346924f, 0.370605f, 0.392822f, 0.416260f, 0.439209f, 0.463623f, - 0.486084f, 0.511230f, 0.534180f, 0.558105f, 0.580566f, 0.603516f, 0.625000f, 0.647461f, 0.668457f, 0.688965f, 0.708496f, 0.727539f, - 0.746582f, 0.764160f, 0.781738f, 0.798340f, 0.813477f, 0.829590f, 0.926758f, 0.931152f, 0.930664f, 0.929199f, 0.928223f, 0.927246f, - 0.001294f, 0.004196f, 0.006538f, 0.009346f, 0.012306f, 0.015335f, 0.018845f, 0.022003f, 0.025558f, 0.029816f, 0.034149f, 0.038605f, - 0.043915f, 0.049042f, 0.054810f, 0.061188f, 0.067993f, 0.075256f, 0.083130f, 0.091553f, 0.100769f, 0.110779f, 0.121643f, 0.133057f, - 0.145630f, 0.159058f, 0.173218f, 0.188721f, 0.204590f, 0.222290f, 0.240234f, 0.259277f, 0.279053f, 0.299561f, 0.321533f, 0.343506f, - 0.365723f, 0.389404f, 0.412354f, 0.436035f, 0.459961f, 0.484131f, 0.508301f, 0.532227f, 0.555176f, 0.579102f, 0.601562f, 0.624512f, - 0.646484f, 0.668457f, 0.688965f, 0.709473f, 0.729004f, 0.748047f, 0.766602f, 0.784668f, 0.800293f, 0.817383f, 0.921875f, 0.926270f, - 0.926270f, 0.925781f, 0.924316f, 0.923340f, 0.001081f, 0.003603f, 0.006027f, 0.008575f, 0.010979f, 0.013847f, 0.016937f, 0.020020f, - 0.023315f, 0.026917f, 0.030930f, 0.035156f, 0.039429f, 0.044098f, 0.049622f, 0.054779f, 0.060791f, 0.067566f, 0.074341f, 0.082336f, - 0.090515f, 0.099548f, 0.109070f, 0.119263f, 0.130981f, 0.143188f, 0.156250f, 0.170288f, 0.185303f, 0.201294f, 0.218262f, 0.236450f, - 0.255615f, 0.275391f, 0.295654f, 0.316895f, 0.339111f, 0.362061f, 0.385498f, 0.408936f, 0.432861f, 0.457275f, 0.481689f, 0.505371f, - 0.529785f, 0.553711f, 0.577637f, 0.601074f, 0.624023f, 0.646484f, 0.669434f, 0.689941f, 0.711426f, 0.731445f, 0.750977f, 0.770020f, - 0.787598f, 0.804688f, 0.916992f, 0.922363f, 0.922363f, 0.921875f, 0.920898f, 0.918945f, 0.001064f, 0.003231f, 0.005322f, 0.007710f, - 0.010323f, 0.012489f, 0.015244f, 0.018051f, 0.020798f, 0.024338f, 0.027893f, 0.031738f, 0.035553f, 0.039795f, 0.044495f, 0.049133f, - 0.054657f, 0.060608f, 0.066895f, 0.073792f, 0.081421f, 0.089050f, 0.097717f, 0.106934f, 0.117554f, 0.128540f, 0.140503f, 0.153442f, - 0.167236f, 0.182129f, 0.197998f, 0.214966f, 0.232422f, 0.251465f, 0.271240f, 0.291992f, 0.313232f, 0.335693f, 0.358643f, 0.382080f, - 0.406006f, 0.430176f, 0.454590f, 0.479004f, 0.503906f, 0.528320f, 0.552734f, 0.577637f, 0.601562f, 0.625000f, 0.648438f, 0.670898f, - 0.691895f, 0.713867f, 0.733887f, 0.754883f, 0.774414f, 0.791992f, 0.912109f, 0.917969f, 0.918457f, 0.916992f, 0.916016f, 0.915039f, - 0.000998f, 0.003012f, 0.005123f, 0.007114f, 0.009438f, 0.011360f, 0.013763f, 0.016510f, 0.018951f, 0.022171f, 0.025101f, 0.028305f, - 0.031830f, 0.035736f, 0.039795f, 0.044067f, 0.048950f, 0.053864f, 0.059601f, 0.066345f, 0.072815f, 0.079956f, 0.087402f, 0.096375f, - 0.105835f, 0.115479f, 0.126343f, 0.138184f, 0.150635f, 0.164062f, 0.178711f, 0.194214f, 0.210815f, 0.229004f, 0.247314f, 0.267090f, - 0.288330f, 0.309570f, 0.332275f, 0.355469f, 0.378418f, 0.402832f, 0.427490f, 0.452637f, 0.477783f, 0.501953f, 0.527832f, 0.552734f, - 0.577637f, 0.602051f, 0.626465f, 0.649902f, 0.672852f, 0.695312f, 0.717773f, 0.737793f, 0.758789f, 0.778809f, 0.906250f, 0.913086f, - 0.913574f, 0.912598f, 0.911621f, 0.910645f, 0.001059f, 0.002985f, 0.004475f, 0.006496f, 0.008545f, 0.010300f, 0.012581f, 0.014969f, - 0.017471f, 0.019852f, 0.022507f, 0.025864f, 0.028824f, 0.032135f, 0.036041f, 0.039795f, 0.043884f, 0.048706f, 0.053680f, 0.059113f, - 0.064819f, 0.071472f, 0.078491f, 0.086365f, 0.094360f, 0.103577f, 0.113403f, 0.124023f, 0.135620f, 0.147705f, 0.160889f, 0.175537f, - 0.191284f, 0.207764f, 0.225464f, 0.244263f, 0.264160f, 0.284912f, 0.306641f, 0.329102f, 0.352295f, 0.376465f, 0.400635f, 0.426025f, - 0.451416f, 0.476562f, 0.502930f, 0.527344f, 0.553711f, 0.579102f, 0.603027f, 0.627930f, 0.652344f, 0.675781f, 0.700195f, 0.722168f, - 0.742676f, 0.764648f, 0.901367f, 0.907715f, 0.908691f, 0.908203f, 0.907227f, 0.906250f, 0.000988f, 0.002577f, 0.004124f, 0.006042f, - 0.007603f, 0.009506f, 0.011299f, 0.013680f, 0.015778f, 0.017883f, 0.020554f, 0.023102f, 0.025940f, 0.028946f, 0.031891f, 0.035431f, - 0.039825f, 0.043671f, 0.048157f, 0.053009f, 0.058075f, 0.063782f, 0.069885f, 0.077087f, 0.084839f, 0.092712f, 0.101379f, 0.110779f, - 0.121155f, 0.132446f, 0.144775f, 0.157837f, 0.172363f, 0.187744f, 0.204590f, 0.222290f, 0.240601f, 0.260254f, 0.281494f, 0.303223f, - 0.325439f, 0.349609f, 0.373535f, 0.399170f, 0.424561f, 0.450439f, 0.475586f, 0.501953f, 0.528320f, 0.554688f, 0.580566f, 0.605957f, - 0.630859f, 0.656250f, 0.680176f, 0.704102f, 0.727051f, 0.749512f, 0.895508f, 0.902344f, 0.903320f, 0.902832f, 0.901855f, 0.901855f, - 0.000842f, 0.002253f, 0.003597f, 0.005352f, 0.007195f, 0.008804f, 0.010460f, 0.012100f, 0.014130f, 0.016281f, 0.018341f, 0.021057f, - 0.023193f, 0.025742f, 0.029022f, 0.031830f, 0.035278f, 0.039246f, 0.042999f, 0.047211f, 0.052032f, 0.056946f, 0.062744f, 0.068848f, - 0.075195f, 0.082642f, 0.090332f, 0.099060f, 0.108215f, 0.118469f, 0.129517f, 0.141724f, 0.154907f, 0.169434f, 0.184448f, 0.201172f, - 0.218506f, 0.237427f, 0.257324f, 0.278320f, 0.300293f, 0.323242f, 0.347412f, 0.372070f, 0.397217f, 0.423340f, 0.449707f, 0.476807f, - 0.502930f, 0.529785f, 0.556641f, 0.582520f, 0.609863f, 0.635254f, 0.660645f, 0.686035f, 0.710938f, 0.733887f, 0.889648f, 0.897461f, - 0.898926f, 0.896973f, 0.896973f, 0.896484f, 0.000660f, 0.002014f, 0.003531f, 0.004951f, 0.006424f, 0.007935f, 0.009392f, 0.011322f, - 0.012924f, 0.014824f, 0.016754f, 0.018906f, 0.020935f, 0.023376f, 0.026245f, 0.028809f, 0.031860f, 0.034821f, 0.038330f, 0.042236f, - 0.046387f, 0.050812f, 0.056061f, 0.061279f, 0.066956f, 0.073547f, 0.080566f, 0.088074f, 0.096802f, 0.106079f, 0.116089f, 0.127075f, - 0.138672f, 0.151855f, 0.165649f, 0.180908f, 0.197754f, 0.215332f, 0.234375f, 0.254150f, 0.275391f, 0.298096f, 0.321533f, 0.344971f, - 0.370361f, 0.396973f, 0.422852f, 0.449219f, 0.477295f, 0.504395f, 0.532227f, 0.558594f, 0.586914f, 0.614258f, 0.640625f, 0.666016f, - 0.692871f, 0.718262f, 0.882812f, 0.891602f, 0.892578f, 0.892090f, 0.892090f, 0.890625f, 0.000623f, 0.002073f, 0.003298f, 0.004292f, - 0.005589f, 0.007401f, 0.008377f, 0.010315f, 0.011871f, 0.013596f, 0.015213f, 0.016632f, 0.018829f, 0.020920f, 0.023239f, 0.025726f, - 0.028381f, 0.031250f, 0.034241f, 0.037781f, 0.041473f, 0.045349f, 0.049469f, 0.054199f, 0.059448f, 0.065186f, 0.071716f, 0.078613f, - 0.085999f, 0.093872f, 0.103516f, 0.112976f, 0.123840f, 0.135620f, 0.148804f, 0.162720f, 0.178223f, 0.194824f, 0.212280f, 0.231079f, - 0.251953f, 0.273193f, 0.295410f, 0.319580f, 0.343994f, 0.370117f, 0.396729f, 0.422852f, 0.450684f, 0.478516f, 0.507324f, 0.534668f, - 0.562988f, 0.591797f, 0.619629f, 0.646484f, 0.674316f, 0.700195f, 0.875488f, 0.885254f, 0.886719f, 0.886719f, 0.885742f, 0.885254f, - 0.000583f, 0.001746f, 0.002840f, 0.004143f, 0.005234f, 0.006516f, 0.007835f, 0.009460f, 0.010788f, 0.012062f, 0.013428f, 0.015053f, - 0.017349f, 0.018753f, 0.021271f, 0.023163f, 0.025284f, 0.027924f, 0.030655f, 0.033478f, 0.036957f, 0.040527f, 0.044037f, 0.048309f, - 0.053223f, 0.058319f, 0.063660f, 0.069763f, 0.076172f, 0.083679f, 0.091431f, 0.100647f, 0.110229f, 0.120667f, 0.132690f, 0.145386f, - 0.159668f, 0.174805f, 0.191284f, 0.208984f, 0.228516f, 0.248535f, 0.270996f, 0.293701f, 0.317383f, 0.342529f, 0.369629f, 0.396240f, - 0.424072f, 0.452148f, 0.480957f, 0.509277f, 0.539551f, 0.567871f, 0.596680f, 0.625977f, 0.654785f, 0.682129f, 0.868652f, 0.878906f, - 0.880371f, 0.879883f, 0.879883f, 0.879395f, 0.000535f, 0.001538f, 0.002930f, 0.003725f, 0.004986f, 0.005920f, 0.006973f, 0.008247f, - 0.009575f, 0.010841f, 0.012115f, 0.013550f, 0.015343f, 0.016983f, 0.018814f, 0.020523f, 0.022568f, 0.024887f, 0.027206f, 0.029907f, - 0.032959f, 0.035828f, 0.039185f, 0.042877f, 0.046967f, 0.051605f, 0.056213f, 0.061432f, 0.067749f, 0.073730f, 0.081238f, 0.089111f, - 0.097656f, 0.107300f, 0.118042f, 0.129883f, 0.142334f, 0.156250f, 0.171875f, 0.187866f, 0.206665f, 0.225708f, 0.246704f, 0.268799f, - 0.291992f, 0.316650f, 0.342529f, 0.369629f, 0.397217f, 0.425537f, 0.454590f, 0.484131f, 0.513672f, 0.544434f, 0.574219f, 0.604492f, - 0.633789f, 0.664062f, 0.861328f, 0.871582f, 0.873535f, 0.874512f, 0.873047f, 0.872559f, 0.000581f, 0.001668f, 0.002563f, 0.003471f, - 0.004494f, 0.005562f, 0.006580f, 0.007782f, 0.008690f, 0.009766f, 0.011261f, 0.012314f, 0.013901f, 0.014969f, 0.016479f, 0.018265f, - 0.020294f, 0.022156f, 0.024353f, 0.026505f, 0.029053f, 0.031799f, 0.034607f, 0.037964f, 0.041382f, 0.045471f, 0.049591f, 0.054047f, - 0.059326f, 0.065186f, 0.071411f, 0.078735f, 0.086304f, 0.094971f, 0.104126f, 0.114807f, 0.126587f, 0.138916f, 0.153564f, 0.169067f, - 0.185669f, 0.203613f, 0.223389f, 0.244629f, 0.266602f, 0.291260f, 0.316406f, 0.342773f, 0.370361f, 0.398926f, 0.427734f, 0.458008f, - 0.488770f, 0.520020f, 0.550293f, 0.582031f, 0.613281f, 0.645020f, 0.854004f, 0.865234f, 0.866699f, 0.867188f, 0.866699f, 0.866699f, - 0.000571f, 0.001365f, 0.002483f, 0.003033f, 0.004120f, 0.005054f, 0.005981f, 0.006737f, 0.007603f, 0.008675f, 0.009789f, 0.011078f, - 0.012413f, 0.013626f, 0.014908f, 0.016174f, 0.017792f, 0.019699f, 0.021591f, 0.023499f, 0.025635f, 0.028000f, 0.030533f, 0.033417f, - 0.036499f, 0.039948f, 0.043762f, 0.047943f, 0.052460f, 0.057465f, 0.062622f, 0.068848f, 0.076111f, 0.083557f, 0.092102f, 0.101562f, - 0.111816f, 0.123230f, 0.135864f, 0.150024f, 0.165771f, 0.182373f, 0.200806f, 0.221191f, 0.242920f, 0.265869f, 0.290283f, 0.316406f, - 0.343262f, 0.371582f, 0.400879f, 0.431396f, 0.463623f, 0.494629f, 0.526367f, 0.558105f, 0.591309f, 0.624023f, 0.845215f, 0.856934f, - 0.859375f, 0.859375f, 0.859863f, 0.860352f, 0.000411f, 0.001296f, 0.002012f, 0.002808f, 0.003754f, 0.004543f, 0.005215f, 0.006012f, - 0.006725f, 0.007851f, 0.008888f, 0.009979f, 0.010994f, 0.012009f, 0.013062f, 0.014549f, 0.016113f, 0.017441f, 0.019073f, 0.020767f, - 0.022598f, 0.024689f, 0.026764f, 0.029358f, 0.032043f, 0.034760f, 0.038391f, 0.041779f, 0.045380f, 0.050110f, 0.055054f, 0.060394f, - 0.066650f, 0.073120f, 0.080688f, 0.089233f, 0.098450f, 0.108582f, 0.120178f, 0.133057f, 0.146973f, 0.162354f, 0.179565f, 0.198364f, - 0.218750f, 0.240967f, 0.264648f, 0.290039f, 0.316650f, 0.344971f, 0.374023f, 0.404541f, 0.435791f, 0.467773f, 0.500977f, 0.535156f, - 0.569336f, 0.601562f, 0.836914f, 0.850098f, 0.852051f, 0.852539f, 0.852539f, 0.852051f, 0.000408f, 0.001071f, 0.001857f, 0.002573f, - 0.003338f, 0.004078f, 0.004692f, 0.005379f, 0.006046f, 0.007275f, 0.007957f, 0.008606f, 0.009598f, 0.010864f, 0.011658f, 0.013084f, - 0.013977f, 0.015366f, 0.016724f, 0.018402f, 0.019669f, 0.021759f, 0.023697f, 0.025726f, 0.027954f, 0.030640f, 0.033356f, 0.036530f, - 0.039948f, 0.043701f, 0.047791f, 0.052704f, 0.057770f, 0.063782f, 0.070129f, 0.077881f, 0.085999f, 0.095337f, 0.105591f, 0.116882f, - 0.130005f, 0.143921f, 0.159302f, 0.177246f, 0.196411f, 0.217163f, 0.239746f, 0.263916f, 0.290039f, 0.317871f, 0.346924f, 0.377441f, - 0.408936f, 0.442139f, 0.476074f, 0.509766f, 0.545410f, 0.580078f, 0.828613f, 0.841309f, 0.843262f, 0.844238f, 0.843750f, 0.844238f, - 0.000322f, 0.001009f, 0.001674f, 0.002262f, 0.002949f, 0.003633f, 0.004250f, 0.004780f, 0.005478f, 0.006256f, 0.007248f, 0.007919f, - 0.008720f, 0.009552f, 0.010277f, 0.011391f, 0.012291f, 0.013466f, 0.014786f, 0.015976f, 0.017288f, 0.019043f, 0.020477f, 0.022385f, - 0.024292f, 0.026276f, 0.029175f, 0.031769f, 0.034546f, 0.037842f, 0.041626f, 0.045868f, 0.050293f, 0.055084f, 0.060669f, 0.067688f, - 0.074585f, 0.083008f, 0.092102f, 0.102234f, 0.113525f, 0.126587f, 0.140869f, 0.156860f, 0.174805f, 0.194214f, 0.215698f, 0.239014f, - 0.264404f, 0.291016f, 0.320068f, 0.350098f, 0.382080f, 0.414551f, 0.449463f, 0.485107f, 0.520996f, 0.557617f, 0.818848f, 0.833496f, - 0.836426f, 0.836914f, 0.836426f, 0.835938f, 0.000483f, 0.000841f, 0.001632f, 0.002142f, 0.002678f, 0.003359f, 0.003830f, 0.004333f, - 0.005077f, 0.005527f, 0.006104f, 0.006908f, 0.007675f, 0.008392f, 0.009216f, 0.009789f, 0.010880f, 0.011719f, 0.012817f, 0.013809f, - 0.015068f, 0.016357f, 0.017883f, 0.019485f, 0.021271f, 0.022995f, 0.025162f, 0.027359f, 0.029755f, 0.032806f, 0.036133f, 0.039459f, - 0.043091f, 0.047821f, 0.052368f, 0.058258f, 0.064514f, 0.071472f, 0.079224f, 0.088623f, 0.098694f, 0.109924f, 0.123230f, 0.137817f, - 0.154053f, 0.172363f, 0.192261f, 0.214478f, 0.238647f, 0.265137f, 0.292725f, 0.322998f, 0.354492f, 0.387695f, 0.422363f, 0.458740f, - 0.495605f, 0.533691f, 0.809570f, 0.824219f, 0.826660f, 0.827148f, 0.828125f, 0.827148f, 0.000240f, 0.000906f, 0.001379f, 0.001807f, - 0.002495f, 0.002916f, 0.003490f, 0.004139f, 0.004471f, 0.004898f, 0.005638f, 0.005978f, 0.006874f, 0.007313f, 0.007957f, 0.008698f, - 0.009560f, 0.010178f, 0.011345f, 0.012177f, 0.012985f, 0.014214f, 0.015274f, 0.016708f, 0.017929f, 0.019882f, 0.021393f, 0.023560f, - 0.025406f, 0.028137f, 0.030472f, 0.033752f, 0.036896f, 0.040619f, 0.044952f, 0.049622f, 0.055298f, 0.061249f, 0.068420f, 0.075928f, - 0.084900f, 0.095398f, 0.107300f, 0.119934f, 0.134766f, 0.151733f, 0.170410f, 0.191284f, 0.213867f, 0.238647f, 0.265869f, 0.295654f, - 0.326660f, 0.359863f, 0.394775f, 0.432129f, 0.469482f, 0.508789f, 0.798340f, 0.814941f, 0.817871f, 0.818359f, 0.818848f, 0.818848f, - 0.000376f, 0.000870f, 0.001291f, 0.001619f, 0.002251f, 0.002520f, 0.003016f, 0.003502f, 0.004036f, 0.004299f, 0.004723f, 0.005234f, - 0.005840f, 0.006512f, 0.006908f, 0.007595f, 0.008003f, 0.008797f, 0.009773f, 0.010536f, 0.011284f, 0.012161f, 0.013237f, 0.014465f, - 0.015579f, 0.016968f, 0.018402f, 0.019882f, 0.021759f, 0.023621f, 0.026138f, 0.028488f, 0.031738f, 0.034668f, 0.038239f, 0.042389f, - 0.046783f, 0.052094f, 0.058319f, 0.064941f, 0.072815f, 0.081726f, 0.092102f, 0.103516f, 0.117188f, 0.132202f, 0.149048f, 0.168091f, - 0.189941f, 0.213745f, 0.239990f, 0.268311f, 0.299316f, 0.332275f, 0.367188f, 0.403076f, 0.442871f, 0.483398f, 0.788086f, 0.805176f, - 0.808105f, 0.808594f, 0.809082f, 0.809082f, 0.000386f, 0.000765f, 0.000998f, 0.001537f, 0.001833f, 0.002407f, 0.002529f, 0.003113f, - 0.003334f, 0.003841f, 0.004192f, 0.004585f, 0.005096f, 0.005543f, 0.006073f, 0.006405f, 0.007118f, 0.007641f, 0.008278f, 0.008957f, - 0.009651f, 0.010498f, 0.011307f, 0.012184f, 0.013199f, 0.014343f, 0.015671f, 0.016678f, 0.018585f, 0.019852f, 0.021881f, 0.023987f, - 0.026398f, 0.029099f, 0.032227f, 0.035339f, 0.039246f, 0.043915f, 0.048859f, 0.054688f, 0.061554f, 0.069519f, 0.078247f, 0.088379f, - 0.100037f, 0.113770f, 0.129272f, 0.146606f, 0.166626f, 0.189575f, 0.214111f, 0.241577f, 0.271973f, 0.304199f, 0.339844f, 0.375977f, - 0.415527f, 0.457275f, 0.776855f, 0.794434f, 0.797363f, 0.797852f, 0.798828f, 0.799316f, 0.000232f, 0.000636f, 0.000996f, 0.001201f, - 0.001721f, 0.002029f, 0.002340f, 0.002802f, 0.003012f, 0.003462f, 0.003693f, 0.004059f, 0.004295f, 0.004822f, 0.005077f, 0.005623f, - 0.006126f, 0.006653f, 0.007027f, 0.007561f, 0.008049f, 0.008904f, 0.009399f, 0.010300f, 0.011200f, 0.012115f, 0.013092f, 0.014221f, - 0.015671f, 0.016891f, 0.018433f, 0.020294f, 0.022064f, 0.024277f, 0.026688f, 0.029678f, 0.032654f, 0.036499f, 0.040955f, 0.045715f, - 0.051514f, 0.058014f, 0.065674f, 0.074707f, 0.084717f, 0.096802f, 0.111023f, 0.126709f, 0.144775f, 0.165771f, 0.189209f, 0.215820f, - 0.244385f, 0.275879f, 0.310547f, 0.348145f, 0.387695f, 0.429932f, 0.765137f, 0.783203f, 0.787109f, 0.788574f, 0.788574f, 0.789551f, - 0.000171f, 0.000518f, 0.001106f, 0.001242f, 0.001475f, 0.001939f, 0.002092f, 0.002254f, 0.002607f, 0.002930f, 0.003084f, 0.003382f, - 0.003674f, 0.004040f, 0.004395f, 0.004780f, 0.005157f, 0.005653f, 0.006088f, 0.006355f, 0.006870f, 0.007420f, 0.008057f, 0.008667f, - 0.009361f, 0.010040f, 0.011101f, 0.011803f, 0.012711f, 0.013962f, 0.015343f, 0.016586f, 0.018036f, 0.020142f, 0.022079f, 0.024399f, - 0.027023f, 0.030075f, 0.033569f, 0.037750f, 0.042603f, 0.048096f, 0.054718f, 0.062134f, 0.071045f, 0.081299f, 0.093445f, 0.107605f, - 0.124268f, 0.142944f, 0.165405f, 0.189941f, 0.218262f, 0.249268f, 0.282227f, 0.319336f, 0.359375f, 0.402832f, 0.752930f, 0.771973f, - 0.775879f, 0.776855f, 0.777832f, 0.777832f, 0.000204f, 0.000608f, 0.000865f, 0.001011f, 0.001362f, 0.001632f, 0.001817f, 0.001930f, - 0.002274f, 0.002491f, 0.002796f, 0.002932f, 0.003139f, 0.003429f, 0.003736f, 0.004055f, 0.004448f, 0.004829f, 0.004971f, 0.005497f, - 0.005859f, 0.006298f, 0.006741f, 0.007080f, 0.007687f, 0.008308f, 0.009087f, 0.009880f, 0.010735f, 0.011528f, 0.012375f, 0.013664f, - 0.014862f, 0.016464f, 0.017868f, 0.019852f, 0.022156f, 0.024490f, 0.027435f, 0.030853f, 0.034637f, 0.039154f, 0.044495f, 0.050964f, - 0.058441f, 0.067383f, 0.077759f, 0.090332f, 0.104797f, 0.121826f, 0.142334f, 0.164795f, 0.191528f, 0.221313f, 0.254150f, 0.290771f, - 0.330078f, 0.374268f, 0.740234f, 0.759277f, 0.763672f, 0.766113f, 0.766602f, 0.766113f, 0.000150f, 0.000514f, 0.000666f, 0.000865f, - 0.001163f, 0.001389f, 0.001540f, 0.001672f, 0.001940f, 0.002110f, 0.002302f, 0.002419f, 0.002745f, 0.002974f, 0.003120f, 0.003366f, - 0.003695f, 0.003815f, 0.004173f, 0.004574f, 0.004879f, 0.005165f, 0.005646f, 0.006058f, 0.006481f, 0.006969f, 0.007626f, 0.007881f, - 0.008751f, 0.009445f, 0.010231f, 0.011246f, 0.012222f, 0.013268f, 0.014641f, 0.015976f, 0.017792f, 0.019867f, 0.021912f, 0.024704f, - 0.027786f, 0.031494f, 0.036011f, 0.041229f, 0.047363f, 0.054962f, 0.063904f, 0.074463f, 0.087036f, 0.102295f, 0.120483f, 0.141113f, - 0.166260f, 0.194214f, 0.226196f, 0.261719f, 0.301514f, 0.345459f, 0.727051f, 0.747070f, 0.751953f, 0.753418f, 0.754395f, 0.754883f, - 0.000103f, 0.000251f, 0.000628f, 0.000912f, 0.000978f, 0.001191f, 0.001365f, 0.001507f, 0.001513f, 0.001757f, 0.001980f, 0.002121f, - 0.002316f, 0.002373f, 0.002645f, 0.002909f, 0.003012f, 0.003305f, 0.003538f, 0.003775f, 0.004070f, 0.004246f, 0.004642f, 0.004986f, - 0.005394f, 0.005802f, 0.006031f, 0.006565f, 0.006969f, 0.007618f, 0.008293f, 0.008980f, 0.009766f, 0.010612f, 0.011528f, 0.012802f, - 0.014198f, 0.015671f, 0.017517f, 0.019592f, 0.021957f, 0.024918f, 0.028442f, 0.032562f, 0.037567f, 0.043762f, 0.051025f, 0.059753f, - 0.071045f, 0.084412f, 0.099792f, 0.119385f, 0.141846f, 0.167969f, 0.199341f, 0.233521f, 0.272461f, 0.315674f, 0.712891f, 0.733887f, - 0.738770f, 0.740234f, 0.741211f, 0.741699f, 0.000185f, 0.000434f, 0.000489f, 0.000732f, 0.000874f, 0.000968f, 0.001122f, 0.001124f, - 0.001371f, 0.001423f, 0.001639f, 0.001693f, 0.001805f, 0.002094f, 0.002241f, 0.002356f, 0.002567f, 0.002691f, 0.002871f, 0.003063f, - 0.003195f, 0.003582f, 0.003790f, 0.004089f, 0.004372f, 0.004536f, 0.005085f, 0.005314f, 0.005699f, 0.006153f, 0.006672f, 0.007202f, - 0.007805f, 0.008522f, 0.009216f, 0.010071f, 0.011086f, 0.012184f, 0.013596f, 0.015297f, 0.017014f, 0.019363f, 0.021988f, 0.025299f, - 0.029282f, 0.033936f, 0.040070f, 0.047028f, 0.056519f, 0.067932f, 0.080872f, 0.098083f, 0.118469f, 0.143188f, 0.171753f, 0.205200f, - 0.243286f, 0.286133f, 0.698730f, 0.721680f, 0.725098f, 0.727051f, 0.728027f, 0.728516f, 0.000116f, 0.000267f, 0.000565f, 0.000505f, - 0.000648f, 0.000772f, 0.000813f, 0.001031f, 0.001107f, 0.001184f, 0.001335f, 0.001391f, 0.001451f, 0.001633f, 0.001798f, 0.001874f, - 0.002090f, 0.002192f, 0.002392f, 0.002464f, 0.002707f, 0.002895f, 0.003044f, 0.003206f, 0.003468f, 0.003666f, 0.003887f, 0.004261f, - 0.004524f, 0.004898f, 0.005379f, 0.005711f, 0.006130f, 0.006721f, 0.007267f, 0.007912f, 0.008659f, 0.009575f, 0.010475f, 0.011749f, - 0.013252f, 0.014717f, 0.016815f, 0.019302f, 0.022369f, 0.025955f, 0.030502f, 0.036285f, 0.043579f, 0.052795f, 0.064453f, 0.078735f, - 0.096497f, 0.118591f, 0.145508f, 0.177368f, 0.213989f, 0.256592f, 0.683105f, 0.707031f, 0.710938f, 0.713379f, 0.714844f, 0.714844f, - 0.000223f, 0.000239f, 0.000286f, 0.000476f, 0.000580f, 0.000647f, 0.000715f, 0.000843f, 0.000914f, 0.000950f, 0.001090f, 0.001163f, - 0.001259f, 0.001328f, 0.001392f, 0.001560f, 0.001549f, 0.001775f, 0.001868f, 0.001999f, 0.002199f, 0.002235f, 0.002436f, 0.002575f, - 0.002842f, 0.002892f, 0.003111f, 0.003401f, 0.003563f, 0.003887f, 0.004196f, 0.004505f, 0.004791f, 0.005142f, 0.005684f, 0.006153f, - 0.006710f, 0.007378f, 0.008064f, 0.008881f, 0.009979f, 0.011177f, 0.012779f, 0.014435f, 0.016647f, 0.019150f, 0.022583f, 0.027252f, - 0.033051f, 0.040039f, 0.049561f, 0.061340f, 0.076843f, 0.096313f, 0.120544f, 0.150513f, 0.185547f, 0.227173f, 0.668457f, 0.692383f, - 0.696289f, 0.698242f, 0.699219f, 0.701172f, 0.000000f, 0.000109f, 0.000315f, 0.000449f, 0.000511f, 0.000507f, 0.000538f, 0.000653f, - 0.000724f, 0.000749f, 0.000830f, 0.000893f, 0.001007f, 0.001079f, 0.001189f, 0.001163f, 0.001335f, 0.001307f, 0.001502f, 0.001575f, - 0.001627f, 0.001778f, 0.001933f, 0.002029f, 0.002155f, 0.002254f, 0.002401f, 0.002535f, 0.002829f, 0.002943f, 0.003143f, 0.003422f, - 0.003710f, 0.003990f, 0.004318f, 0.004627f, 0.005108f, 0.005585f, 0.006142f, 0.006641f, 0.007378f, 0.008354f, 0.009430f, 0.010628f, - 0.012123f, 0.014015f, 0.016541f, 0.019836f, 0.023849f, 0.029312f, 0.036774f, 0.046356f, 0.058868f, 0.075562f, 0.097107f, 0.124634f, - 0.157837f, 0.197754f, 0.653320f, 0.677734f, 0.682129f, 0.684082f, 0.685547f, 0.684570f, 0.000166f, 0.000195f, 0.000256f, 0.000372f, - 0.000386f, 0.000415f, 0.000515f, 0.000432f, 0.000579f, 0.000606f, 0.000706f, 0.000745f, 0.000764f, 0.000837f, 0.000853f, 0.000993f, - 0.001034f, 0.001066f, 0.001156f, 0.001203f, 0.001339f, 0.001418f, 0.001470f, 0.001612f, 0.001614f, 0.001707f, 0.001850f, 0.001986f, - 0.002151f, 0.002254f, 0.002499f, 0.002560f, 0.002794f, 0.003000f, 0.003212f, 0.003510f, 0.003761f, 0.004086f, 0.004475f, 0.004967f, - 0.005428f, 0.006134f, 0.006840f, 0.007786f, 0.008858f, 0.010033f, 0.011909f, 0.014137f, 0.016907f, 0.020767f, 0.025894f, 0.033386f, - 0.043274f, 0.056854f, 0.075439f, 0.099548f, 0.130737f, 0.169434f, 0.634277f, 0.661133f, 0.667480f, 0.668945f, 0.669922f, 0.670898f, - 0.000115f, 0.000119f, 0.000230f, 0.000304f, 0.000221f, 0.000380f, 0.000322f, 0.000351f, 0.000453f, 0.000527f, 0.000535f, 0.000558f, - 0.000595f, 0.000675f, 0.000707f, 0.000670f, 0.000776f, 0.000812f, 0.000839f, 0.000911f, 0.000974f, 0.001033f, 0.001082f, 0.001154f, - 0.001209f, 0.001268f, 0.001416f, 0.001432f, 0.001607f, 0.001775f, 0.001877f, 0.001911f, 0.002041f, 0.002207f, 0.002380f, 0.002563f, - 0.002741f, 0.002956f, 0.003281f, 0.003513f, 0.003902f, 0.004353f, 0.004803f, 0.005405f, 0.006256f, 0.007072f, 0.008263f, 0.009659f, - 0.011627f, 0.014221f, 0.017792f, 0.022919f, 0.030075f, 0.040497f, 0.055878f, 0.076721f, 0.104980f, 0.141357f, 0.618652f, 0.644531f, - 0.650391f, 0.652832f, 0.653320f, 0.654785f, 0.000000f, 0.000122f, 0.000142f, 0.000227f, 0.000248f, 0.000246f, 0.000296f, 0.000254f, - 0.000308f, 0.000329f, 0.000387f, 0.000437f, 0.000443f, 0.000504f, 0.000515f, 0.000535f, 0.000566f, 0.000592f, 0.000618f, 0.000641f, - 0.000706f, 0.000746f, 0.000787f, 0.000839f, 0.000878f, 0.000920f, 0.001043f, 0.001041f, 0.001136f, 0.001199f, 0.001258f, 0.001393f, - 0.001428f, 0.001549f, 0.001632f, 0.001856f, 0.001945f, 0.002079f, 0.002310f, 0.002489f, 0.002708f, 0.002996f, 0.003315f, 0.003759f, - 0.004177f, 0.004803f, 0.005619f, 0.006527f, 0.007793f, 0.009468f, 0.011917f, 0.015152f, 0.019897f, 0.027298f, 0.038910f, 0.055908f, - 0.080811f, 0.114563f, 0.600586f, 0.628906f, 0.634277f, 0.636719f, 0.637207f, 0.638672f, 0.000000f, 0.000000f, 0.000106f, 0.000137f, - 0.000172f, 0.000211f, 0.000189f, 0.000226f, 0.000230f, 0.000248f, 0.000293f, 0.000251f, 0.000264f, 0.000321f, 0.000343f, 0.000399f, - 0.000368f, 0.000401f, 0.000499f, 0.000479f, 0.000498f, 0.000526f, 0.000550f, 0.000595f, 0.000631f, 0.000645f, 0.000726f, 0.000717f, - 0.000786f, 0.000902f, 0.000865f, 0.000916f, 0.000989f, 0.001059f, 0.001165f, 0.001246f, 0.001279f, 0.001408f, 0.001566f, 0.001628f, - 0.001808f, 0.001991f, 0.002165f, 0.002466f, 0.002766f, 0.003084f, 0.003534f, 0.004250f, 0.005016f, 0.006130f, 0.007584f, 0.009605f, - 0.012718f, 0.017395f, 0.025131f, 0.038269f, 0.058899f, 0.089661f, 0.582031f, 0.611328f, 0.616699f, 0.620117f, 0.621094f, 0.622559f, - 0.000000f, 0.000108f, 0.000104f, 0.000095f, 0.000117f, 0.000117f, 0.000122f, 0.000143f, 0.000147f, 0.000164f, 0.000174f, 0.000216f, - 0.000191f, 0.000227f, 0.000241f, 0.000250f, 0.000257f, 0.000271f, 0.000301f, 0.000298f, 0.000317f, 0.000344f, 0.000370f, 0.000392f, - 0.000404f, 0.000427f, 0.000491f, 0.000491f, 0.000519f, 0.000535f, 0.000611f, 0.000601f, 0.000668f, 0.000698f, 0.000767f, 0.000838f, - 0.000865f, 0.000895f, 0.000993f, 0.001066f, 0.001161f, 0.001242f, 0.001415f, 0.001521f, 0.001743f, 0.001901f, 0.002209f, 0.002523f, - 0.003038f, 0.003601f, 0.004478f, 0.005699f, 0.007545f, 0.010437f, 0.015175f, 0.023682f, 0.039429f, 0.066406f, 0.563477f, 0.593262f, - 0.598633f, 0.602051f, 0.602539f, 0.603516f, 0.000000f, 0.000101f, 0.000093f, 0.000087f, 0.000082f, 0.000078f, 0.000084f, 0.000087f, - 0.000093f, 0.000094f, 0.000099f, 0.000104f, 0.000114f, 0.000123f, 0.000158f, 0.000163f, 0.000166f, 0.000178f, 0.000177f, 0.000214f, - 0.000191f, 0.000208f, 0.000212f, 0.000247f, 0.000268f, 0.000263f, 0.000272f, 0.000287f, 0.000310f, 0.000336f, 0.000353f, 0.000368f, - 0.000396f, 0.000408f, 0.000453f, 0.000476f, 0.000511f, 0.000540f, 0.000615f, 0.000635f, 0.000682f, 0.000751f, 0.000812f, 0.000908f, - 0.000987f, 0.001116f, 0.001278f, 0.001431f, 0.001702f, 0.002047f, 0.002512f, 0.003126f, 0.004181f, 0.005817f, 0.008553f, 0.013489f, - 0.023697f, 0.045288f, 0.544922f, 0.575684f, 0.581543f, 0.584473f, 0.585938f, 0.587402f, 0.000109f, 0.000091f, 0.000081f, 0.000075f, - 0.000070f, 0.000067f, 0.000064f, 0.000061f, 0.000057f, 0.000054f, 0.000058f, 0.000075f, 0.000062f, 0.000064f, 0.000085f, 0.000068f, - 0.000092f, 0.000094f, 0.000103f, 0.000110f, 0.000113f, 0.000119f, 0.000141f, 0.000141f, 0.000148f, 0.000152f, 0.000159f, 0.000164f, - 0.000175f, 0.000188f, 0.000184f, 0.000218f, 0.000233f, 0.000223f, 0.000253f, 0.000265f, 0.000282f, 0.000321f, 0.000322f, 0.000351f, - 0.000371f, 0.000405f, 0.000443f, 0.000478f, 0.000515f, 0.000571f, 0.000652f, 0.000733f, 0.000856f, 0.001011f, 0.001227f, 0.001531f, - 0.002029f, 0.002817f, 0.004215f, 0.006874f, 0.012390f, 0.027405f, 0.525879f, 0.557129f, 0.563477f, 0.566895f, 0.568848f, 0.569824f, - 0.000094f, 0.000073f, 0.000065f, 0.000060f, 0.000055f, 0.000052f, 0.000049f, 0.000048f, 0.000046f, 0.000045f, 0.000042f, 0.000040f, - 0.000040f, 0.000037f, 0.000035f, 0.000035f, 0.000042f, 0.000036f, 0.000049f, 0.000051f, 0.000055f, 0.000056f, 0.000059f, 0.000062f, - 0.000064f, 0.000078f, 0.000071f, 0.000079f, 0.000088f, 0.000091f, 0.000093f, 0.000099f, 0.000103f, 0.000110f, 0.000125f, 0.000123f, - 0.000127f, 0.000151f, 0.000151f, 0.000161f, 0.000169f, 0.000179f, 0.000204f, 0.000219f, 0.000240f, 0.000267f, 0.000294f, 0.000321f, - 0.000378f, 0.000438f, 0.000524f, 0.000628f, 0.000818f, 0.001125f, 0.001693f, 0.002888f, 0.005638f, 0.013580f, 0.505859f, 0.539062f, - 0.544922f, 0.548340f, 0.550293f, 0.550781f, 0.000064f, 0.000048f, 0.000041f, 0.000037f, 0.000035f, 0.000034f, 0.000032f, 0.000031f, - 0.000030f, 0.000029f, 0.000028f, 0.000028f, 0.000027f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, - 0.000020f, 0.000019f, 0.000019f, 0.000023f, 0.000021f, 0.000022f, 0.000026f, 0.000029f, 0.000032f, 0.000031f, 0.000036f, 0.000037f, - 0.000036f, 0.000044f, 0.000046f, 0.000048f, 0.000052f, 0.000054f, 0.000056f, 0.000061f, 0.000070f, 0.000073f, 0.000076f, 0.000081f, - 0.000082f, 0.000095f, 0.000105f, 0.000120f, 0.000126f, 0.000143f, 0.000173f, 0.000203f, 0.000267f, 0.000346f, 0.000505f, 0.000853f, - 0.001829f, 0.005222f, 0.487061f, 0.519531f, 0.527344f, 0.529785f, 0.531738f, 0.532715f, 0.000000f, 0.000002f, 0.000003f, 0.000004f, - 0.000008f, 0.000008f, 0.000008f, 0.000010f, 0.000009f, 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, - 0.000012f, 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, - 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000009f, 0.000010f, 0.000012f, 0.000012f, 0.000015f, - 0.000013f, 0.000015f, 0.000018f, 0.000020f, 0.000021f, 0.000022f, 0.000022f, 0.000024f, 0.000026f, 0.000027f, 0.000034f, 0.000043f, - 0.000049f, 0.000065f, 0.000089f, 0.000138f, 0.000293f, 0.001143f, 0.466553f, 0.500488f, 0.508301f, 0.510742f, 0.512207f, 0.513672f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, - 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000006f, 0.000023f, 0.446777f, 0.482178f, - 0.489746f, 0.492676f, 0.494629f, 0.496094f, - }, - { - 0.032318f, 0.095032f, 0.152344f, 0.205322f, 0.254883f, 0.299316f, 0.342041f, 0.380859f, 0.416504f, 0.449707f, 0.481201f, 0.508789f, - 0.537109f, 0.562012f, 0.584961f, 0.608398f, 0.628418f, 0.648926f, 0.666504f, 0.684570f, 0.701172f, 0.716797f, 0.731934f, 0.746094f, - 0.759766f, 0.770996f, 0.784668f, 0.795898f, 0.806641f, 0.817871f, 0.827637f, 0.837402f, 0.846680f, 0.855469f, 0.863770f, 0.872559f, - 0.879883f, 0.887695f, 0.895508f, 0.901367f, 0.909180f, 0.915527f, 0.921387f, 0.927734f, 0.934082f, 0.939453f, 0.944824f, 0.950684f, - 0.955566f, 0.960449f, 0.965332f, 0.969238f, 0.974121f, 0.978516f, 0.982910f, 0.986816f, 0.990723f, 0.994629f, 0.994629f, 0.987793f, - 0.981934f, 0.976562f, 0.971680f, 0.966797f, 0.025833f, 0.076965f, 0.125854f, 0.173096f, 0.217896f, 0.259766f, 0.299561f, 0.338135f, - 0.372559f, 0.407471f, 0.437500f, 0.468262f, 0.496582f, 0.522949f, 0.547852f, 0.571289f, 0.593750f, 0.614746f, 0.633789f, 0.652832f, - 0.671387f, 0.687988f, 0.705078f, 0.719727f, 0.734863f, 0.749023f, 0.761719f, 0.774414f, 0.786621f, 0.797363f, 0.808594f, 0.818848f, - 0.829590f, 0.838867f, 0.848633f, 0.858398f, 0.865723f, 0.874512f, 0.881836f, 0.890137f, 0.897949f, 0.904297f, 0.910645f, 0.917480f, - 0.923828f, 0.929688f, 0.935547f, 0.941895f, 0.947266f, 0.952637f, 0.957520f, 0.962402f, 0.967285f, 0.971680f, 0.976562f, 0.980957f, - 0.984863f, 0.989258f, 0.992676f, 0.985840f, 0.979980f, 0.975098f, 0.970703f, 0.966309f, 0.020828f, 0.063049f, 0.104797f, 0.146606f, - 0.187134f, 0.225464f, 0.263916f, 0.299072f, 0.333252f, 0.366943f, 0.398438f, 0.429199f, 0.457031f, 0.484131f, 0.509766f, 0.534668f, - 0.559082f, 0.579590f, 0.600586f, 0.622070f, 0.640625f, 0.659180f, 0.676758f, 0.692383f, 0.708984f, 0.722656f, 0.737793f, 0.751465f, - 0.764648f, 0.776367f, 0.789062f, 0.801270f, 0.811523f, 0.821289f, 0.832031f, 0.841309f, 0.850586f, 0.860352f, 0.868652f, 0.876953f, - 0.884766f, 0.892090f, 0.899902f, 0.906738f, 0.913086f, 0.920410f, 0.927246f, 0.933105f, 0.938477f, 0.944336f, 0.950195f, 0.955078f, - 0.959961f, 0.965332f, 0.970215f, 0.975098f, 0.979492f, 0.983887f, 0.989746f, 0.983398f, 0.978516f, 0.973633f, 0.969238f, 0.964844f, - 0.017273f, 0.052429f, 0.088745f, 0.124207f, 0.160034f, 0.195068f, 0.230103f, 0.263916f, 0.297119f, 0.329102f, 0.360596f, 0.390625f, - 0.418945f, 0.446289f, 0.472656f, 0.498535f, 0.521973f, 0.545898f, 0.567871f, 0.588867f, 0.609375f, 0.629395f, 0.646973f, 0.664551f, - 0.681641f, 0.698242f, 0.712402f, 0.727539f, 0.741699f, 0.755371f, 0.768555f, 0.780762f, 0.792480f, 0.803711f, 0.814941f, 0.825195f, - 0.834961f, 0.844727f, 0.854004f, 0.863281f, 0.871094f, 0.879883f, 0.887695f, 0.895508f, 0.902832f, 0.909668f, 0.916504f, 0.923828f, - 0.929688f, 0.936035f, 0.941895f, 0.947754f, 0.952637f, 0.958496f, 0.963379f, 0.968750f, 0.973633f, 0.978027f, 0.986816f, 0.980957f, - 0.976562f, 0.972168f, 0.967285f, 0.963379f, 0.014076f, 0.043915f, 0.074951f, 0.106140f, 0.137573f, 0.169189f, 0.201416f, 0.233154f, - 0.264648f, 0.295166f, 0.324707f, 0.354248f, 0.381836f, 0.410156f, 0.436279f, 0.462891f, 0.487793f, 0.510742f, 0.534180f, 0.556152f, - 0.576660f, 0.598145f, 0.616211f, 0.636719f, 0.653320f, 0.670410f, 0.687500f, 0.703125f, 0.718262f, 0.733398f, 0.746582f, 0.760742f, - 0.772949f, 0.785156f, 0.796875f, 0.808105f, 0.818848f, 0.829590f, 0.838867f, 0.848145f, 0.857910f, 0.867188f, 0.875977f, 0.883301f, - 0.891602f, 0.899414f, 0.906738f, 0.913086f, 0.919922f, 0.926270f, 0.932617f, 0.938477f, 0.944824f, 0.951660f, 0.957520f, 0.961914f, - 0.967285f, 0.972168f, 0.984863f, 0.979004f, 0.974609f, 0.970215f, 0.966309f, 0.961914f, 0.012077f, 0.037445f, 0.063660f, 0.090881f, - 0.118774f, 0.147827f, 0.176636f, 0.206055f, 0.234253f, 0.262939f, 0.291504f, 0.320312f, 0.347168f, 0.374756f, 0.401367f, 0.427734f, - 0.451904f, 0.477051f, 0.500488f, 0.523438f, 0.545898f, 0.566406f, 0.587402f, 0.605957f, 0.624512f, 0.643555f, 0.662109f, 0.676758f, - 0.693848f, 0.708984f, 0.724609f, 0.738770f, 0.751465f, 0.765137f, 0.777344f, 0.790039f, 0.800781f, 0.812500f, 0.823242f, 0.833984f, - 0.842773f, 0.853027f, 0.861816f, 0.871094f, 0.879395f, 0.887695f, 0.895508f, 0.903320f, 0.910156f, 0.917969f, 0.924316f, 0.931152f, - 0.937988f, 0.943848f, 0.949219f, 0.955566f, 0.960449f, 0.966309f, 0.981445f, 0.977051f, 0.972168f, 0.968262f, 0.964355f, 0.960938f, - 0.010445f, 0.032562f, 0.054657f, 0.078613f, 0.103333f, 0.128540f, 0.153564f, 0.181274f, 0.207520f, 0.234619f, 0.261475f, 0.288818f, - 0.315674f, 0.342041f, 0.368408f, 0.394287f, 0.418945f, 0.443604f, 0.467773f, 0.490479f, 0.512695f, 0.534180f, 0.555664f, 0.575684f, - 0.596191f, 0.616211f, 0.633301f, 0.651855f, 0.668457f, 0.685547f, 0.701172f, 0.714844f, 0.729492f, 0.743652f, 0.758301f, 0.770996f, - 0.783203f, 0.794922f, 0.806641f, 0.817383f, 0.827637f, 0.838867f, 0.847656f, 0.857422f, 0.866699f, 0.875000f, 0.884277f, 0.892578f, - 0.900391f, 0.907227f, 0.914551f, 0.922363f, 0.929199f, 0.935059f, 0.941895f, 0.948242f, 0.953125f, 0.959473f, 0.978516f, 0.974609f, - 0.970215f, 0.966309f, 0.962402f, 0.958984f, 0.009117f, 0.027466f, 0.047424f, 0.067871f, 0.089783f, 0.112244f, 0.135376f, 0.159668f, - 0.184082f, 0.209106f, 0.233887f, 0.259277f, 0.285400f, 0.311523f, 0.336182f, 0.360840f, 0.385986f, 0.410889f, 0.435059f, 0.458252f, - 0.480713f, 0.503418f, 0.524902f, 0.546387f, 0.566895f, 0.586426f, 0.605469f, 0.624512f, 0.642578f, 0.659668f, 0.676758f, 0.692383f, - 0.708008f, 0.722168f, 0.736816f, 0.749512f, 0.763184f, 0.776855f, 0.789062f, 0.800781f, 0.812012f, 0.823730f, 0.833496f, 0.843750f, - 0.854004f, 0.863281f, 0.872559f, 0.880371f, 0.889648f, 0.896973f, 0.905762f, 0.912598f, 0.919922f, 0.927734f, 0.934082f, 0.940918f, - 0.946289f, 0.952637f, 0.976074f, 0.972168f, 0.967773f, 0.963867f, 0.960938f, 0.957031f, 0.007561f, 0.024231f, 0.041077f, 0.059631f, - 0.078369f, 0.098145f, 0.119507f, 0.140747f, 0.163208f, 0.185913f, 0.209839f, 0.233154f, 0.257324f, 0.281494f, 0.305908f, 0.330566f, - 0.354736f, 0.378906f, 0.402588f, 0.425781f, 0.449219f, 0.471924f, 0.494385f, 0.516602f, 0.536621f, 0.557617f, 0.576660f, 0.596680f, - 0.616211f, 0.632812f, 0.650879f, 0.668457f, 0.684082f, 0.700684f, 0.715332f, 0.729492f, 0.744141f, 0.757812f, 0.771973f, 0.783691f, - 0.796387f, 0.807129f, 0.818359f, 0.829590f, 0.840820f, 0.850098f, 0.859375f, 0.868652f, 0.877930f, 0.886719f, 0.894531f, 0.903320f, - 0.910645f, 0.918945f, 0.925781f, 0.932617f, 0.939453f, 0.945801f, 0.972656f, 0.969727f, 0.965820f, 0.961914f, 0.958496f, 0.955078f, - 0.006832f, 0.020676f, 0.036224f, 0.051758f, 0.069214f, 0.086609f, 0.105225f, 0.124146f, 0.144653f, 0.165527f, 0.186646f, 0.209106f, - 0.232178f, 0.254883f, 0.277588f, 0.301758f, 0.325195f, 0.348633f, 0.371826f, 0.395264f, 0.418213f, 0.440674f, 0.463135f, 0.485596f, - 0.506348f, 0.527832f, 0.548340f, 0.567871f, 0.587891f, 0.606934f, 0.625977f, 0.642578f, 0.660645f, 0.677734f, 0.692871f, 0.708008f, - 0.723633f, 0.737793f, 0.752441f, 0.765137f, 0.778320f, 0.791504f, 0.802734f, 0.814453f, 0.825684f, 0.835449f, 0.847168f, 0.856934f, - 0.866699f, 0.875488f, 0.884766f, 0.893066f, 0.901367f, 0.910156f, 0.917480f, 0.924805f, 0.932129f, 0.938965f, 0.970215f, 0.966797f, - 0.963379f, 0.959961f, 0.956543f, 0.953125f, 0.006050f, 0.018585f, 0.031860f, 0.045807f, 0.060883f, 0.076538f, 0.093323f, 0.109985f, - 0.128174f, 0.147949f, 0.167480f, 0.186768f, 0.208496f, 0.230591f, 0.252441f, 0.274170f, 0.297363f, 0.319824f, 0.342773f, 0.365723f, - 0.388672f, 0.411133f, 0.433350f, 0.455811f, 0.477295f, 0.498291f, 0.519531f, 0.539551f, 0.560059f, 0.580566f, 0.599121f, 0.617676f, - 0.635254f, 0.653320f, 0.669434f, 0.686523f, 0.702148f, 0.717773f, 0.732422f, 0.747070f, 0.760742f, 0.773926f, 0.786621f, 0.798340f, - 0.811035f, 0.822754f, 0.833008f, 0.843750f, 0.854004f, 0.863770f, 0.873047f, 0.882812f, 0.891602f, 0.900879f, 0.908691f, 0.916504f, - 0.924316f, 0.931152f, 0.966309f, 0.964355f, 0.961426f, 0.957520f, 0.954102f, 0.951172f, 0.005352f, 0.016388f, 0.027985f, 0.040222f, - 0.053436f, 0.067261f, 0.082520f, 0.098022f, 0.114319f, 0.131836f, 0.150146f, 0.167969f, 0.187744f, 0.208008f, 0.228271f, 0.249634f, - 0.270996f, 0.292969f, 0.314697f, 0.337158f, 0.359375f, 0.380859f, 0.403809f, 0.426025f, 0.447510f, 0.469482f, 0.490967f, 0.511719f, - 0.532227f, 0.552734f, 0.571777f, 0.591309f, 0.609375f, 0.628418f, 0.645508f, 0.663086f, 0.680664f, 0.696289f, 0.711426f, 0.727051f, - 0.741699f, 0.755859f, 0.768555f, 0.782227f, 0.795410f, 0.807617f, 0.818359f, 0.830078f, 0.841309f, 0.851074f, 0.861816f, 0.871582f, - 0.880859f, 0.890625f, 0.898438f, 0.907715f, 0.915527f, 0.923828f, 0.962402f, 0.961914f, 0.958496f, 0.955078f, 0.951172f, 0.948730f, - 0.004700f, 0.014397f, 0.025208f, 0.035675f, 0.047485f, 0.060120f, 0.073242f, 0.087097f, 0.102173f, 0.117249f, 0.133789f, 0.150513f, - 0.168823f, 0.186890f, 0.206665f, 0.225830f, 0.246216f, 0.267334f, 0.288574f, 0.309814f, 0.331299f, 0.353271f, 0.375244f, 0.396729f, - 0.418701f, 0.440674f, 0.461182f, 0.483398f, 0.504883f, 0.524902f, 0.544434f, 0.564941f, 0.584473f, 0.603027f, 0.621582f, 0.639648f, - 0.656738f, 0.673828f, 0.690430f, 0.705566f, 0.721680f, 0.736816f, 0.750977f, 0.764648f, 0.778809f, 0.791016f, 0.804688f, 0.815918f, - 0.826660f, 0.838867f, 0.850098f, 0.860840f, 0.870605f, 0.879883f, 0.889648f, 0.898438f, 0.907227f, 0.915527f, 0.959961f, 0.958496f, - 0.955078f, 0.952148f, 0.949219f, 0.946777f, 0.004238f, 0.013138f, 0.022202f, 0.031769f, 0.042358f, 0.053040f, 0.065613f, 0.077637f, - 0.090759f, 0.104980f, 0.119995f, 0.135498f, 0.151855f, 0.167725f, 0.186646f, 0.205078f, 0.224121f, 0.243042f, 0.263672f, 0.283936f, - 0.305176f, 0.326416f, 0.347168f, 0.369629f, 0.390625f, 0.411865f, 0.433350f, 0.454590f, 0.475830f, 0.497314f, 0.517578f, 0.537109f, - 0.557617f, 0.577637f, 0.596191f, 0.615723f, 0.632812f, 0.651367f, 0.668945f, 0.685059f, 0.701172f, 0.716797f, 0.732422f, 0.747559f, - 0.761230f, 0.775391f, 0.788574f, 0.800781f, 0.813965f, 0.824707f, 0.837402f, 0.848145f, 0.859375f, 0.869141f, 0.879395f, 0.889160f, - 0.897949f, 0.906250f, 0.956055f, 0.955566f, 0.952148f, 0.950195f, 0.947266f, 0.943848f, 0.003944f, 0.011490f, 0.019943f, 0.028748f, - 0.037964f, 0.047485f, 0.058014f, 0.069702f, 0.081360f, 0.093994f, 0.107361f, 0.121277f, 0.136353f, 0.151978f, 0.167480f, 0.185669f, - 0.202637f, 0.222168f, 0.240601f, 0.259766f, 0.279541f, 0.300293f, 0.321533f, 0.342285f, 0.362549f, 0.384033f, 0.405762f, 0.427002f, - 0.447998f, 0.469238f, 0.490479f, 0.510742f, 0.532227f, 0.551758f, 0.570312f, 0.589844f, 0.609375f, 0.628418f, 0.645508f, 0.662598f, - 0.680664f, 0.696777f, 0.712402f, 0.728516f, 0.744141f, 0.757812f, 0.771973f, 0.785156f, 0.798828f, 0.811523f, 0.824707f, 0.835449f, - 0.847168f, 0.858887f, 0.869141f, 0.878906f, 0.888672f, 0.897949f, 0.952148f, 0.952148f, 0.949219f, 0.946777f, 0.944336f, 0.941406f, - 0.003448f, 0.010574f, 0.017807f, 0.025558f, 0.033875f, 0.042633f, 0.052307f, 0.062134f, 0.073059f, 0.084045f, 0.096375f, 0.109192f, - 0.122803f, 0.136475f, 0.151367f, 0.167603f, 0.183960f, 0.201416f, 0.218506f, 0.237427f, 0.256104f, 0.275635f, 0.295410f, 0.315918f, - 0.336426f, 0.357178f, 0.378906f, 0.399414f, 0.421143f, 0.442139f, 0.462891f, 0.484375f, 0.504883f, 0.524902f, 0.544922f, 0.564941f, - 0.583984f, 0.603516f, 0.622070f, 0.640625f, 0.658691f, 0.675781f, 0.692871f, 0.709473f, 0.725098f, 0.740234f, 0.754883f, 0.769531f, - 0.783203f, 0.796875f, 0.809570f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868164f, 0.878906f, 0.889160f, 0.948730f, 0.948242f, - 0.946289f, 0.944336f, 0.940918f, 0.938477f, 0.003017f, 0.009422f, 0.015900f, 0.023041f, 0.030380f, 0.038574f, 0.047150f, 0.055969f, - 0.065735f, 0.075684f, 0.086426f, 0.098267f, 0.110535f, 0.123047f, 0.136841f, 0.151489f, 0.166138f, 0.182495f, 0.198975f, 0.216553f, - 0.233765f, 0.252930f, 0.271484f, 0.291016f, 0.310547f, 0.331299f, 0.351562f, 0.372559f, 0.393555f, 0.415039f, 0.435059f, 0.457275f, - 0.477539f, 0.498047f, 0.519043f, 0.538574f, 0.559570f, 0.579102f, 0.598633f, 0.617188f, 0.635742f, 0.654297f, 0.672363f, 0.688965f, - 0.706055f, 0.721191f, 0.737793f, 0.752930f, 0.768066f, 0.782227f, 0.795898f, 0.809082f, 0.821289f, 0.833496f, 0.846191f, 0.857422f, - 0.869141f, 0.879883f, 0.944824f, 0.945312f, 0.942871f, 0.940918f, 0.938477f, 0.936035f, 0.002802f, 0.008575f, 0.014763f, 0.020844f, - 0.027557f, 0.034576f, 0.042084f, 0.050476f, 0.058990f, 0.067993f, 0.077942f, 0.087952f, 0.098999f, 0.111267f, 0.122803f, 0.136719f, - 0.150269f, 0.165527f, 0.180542f, 0.196533f, 0.213257f, 0.230591f, 0.248779f, 0.267334f, 0.286865f, 0.306152f, 0.325928f, 0.346436f, - 0.367188f, 0.387695f, 0.409424f, 0.429199f, 0.450195f, 0.471680f, 0.492920f, 0.513184f, 0.534180f, 0.553711f, 0.573730f, 0.593750f, - 0.612793f, 0.631836f, 0.649414f, 0.668457f, 0.685059f, 0.703125f, 0.719238f, 0.735352f, 0.750000f, 0.766113f, 0.781738f, 0.794434f, - 0.808105f, 0.821777f, 0.833984f, 0.846191f, 0.858398f, 0.870117f, 0.940918f, 0.941895f, 0.939941f, 0.937500f, 0.935059f, 0.932617f, - 0.002573f, 0.007603f, 0.013100f, 0.018799f, 0.024719f, 0.031372f, 0.038147f, 0.045105f, 0.052795f, 0.061127f, 0.069519f, 0.079529f, - 0.089355f, 0.099976f, 0.111084f, 0.123718f, 0.136353f, 0.148926f, 0.163574f, 0.178345f, 0.194214f, 0.210083f, 0.227783f, 0.245361f, - 0.263672f, 0.282471f, 0.301758f, 0.321533f, 0.341797f, 0.361816f, 0.383057f, 0.403320f, 0.424316f, 0.445557f, 0.466797f, 0.487061f, - 0.507812f, 0.528809f, 0.549805f, 0.569336f, 0.589844f, 0.608887f, 0.627930f, 0.646973f, 0.665527f, 0.682129f, 0.700195f, 0.717773f, - 0.732910f, 0.749512f, 0.765137f, 0.779785f, 0.794434f, 0.808105f, 0.821777f, 0.834473f, 0.847168f, 0.859375f, 0.936523f, 0.937988f, - 0.936035f, 0.933594f, 0.932129f, 0.929688f, 0.002409f, 0.007107f, 0.011833f, 0.017075f, 0.022278f, 0.028351f, 0.034088f, 0.040558f, - 0.047943f, 0.055389f, 0.063232f, 0.072021f, 0.080322f, 0.090454f, 0.100220f, 0.111389f, 0.122986f, 0.135010f, 0.148438f, 0.162109f, - 0.176270f, 0.191772f, 0.207642f, 0.224121f, 0.241699f, 0.259277f, 0.278076f, 0.297363f, 0.316650f, 0.336670f, 0.356934f, 0.377686f, - 0.397949f, 0.418701f, 0.439941f, 0.461914f, 0.482178f, 0.502930f, 0.524414f, 0.544922f, 0.565918f, 0.585938f, 0.605957f, 0.625000f, - 0.643066f, 0.662109f, 0.680176f, 0.698730f, 0.715820f, 0.731934f, 0.748047f, 0.764648f, 0.780273f, 0.794434f, 0.808594f, 0.821777f, - 0.836914f, 0.848145f, 0.932129f, 0.934082f, 0.932617f, 0.930176f, 0.928711f, 0.926270f, 0.002066f, 0.006329f, 0.010986f, 0.015541f, - 0.020294f, 0.025452f, 0.030975f, 0.037201f, 0.043152f, 0.049835f, 0.056824f, 0.064331f, 0.072998f, 0.081177f, 0.090637f, 0.100525f, - 0.110718f, 0.122131f, 0.134033f, 0.146851f, 0.159912f, 0.173584f, 0.189331f, 0.204468f, 0.221191f, 0.237671f, 0.255615f, 0.273682f, - 0.292969f, 0.312012f, 0.331543f, 0.352295f, 0.372314f, 0.393311f, 0.413818f, 0.435547f, 0.456055f, 0.477539f, 0.499023f, 0.520508f, - 0.540039f, 0.561523f, 0.581543f, 0.602051f, 0.622070f, 0.641113f, 0.659668f, 0.678223f, 0.697266f, 0.714844f, 0.731445f, 0.748535f, - 0.765137f, 0.778809f, 0.794922f, 0.810059f, 0.824219f, 0.837402f, 0.926758f, 0.930176f, 0.928711f, 0.926758f, 0.924805f, 0.922852f, - 0.001840f, 0.005703f, 0.009918f, 0.014099f, 0.018311f, 0.023026f, 0.028000f, 0.033508f, 0.038971f, 0.045044f, 0.051880f, 0.058289f, - 0.065796f, 0.073425f, 0.081482f, 0.090698f, 0.100464f, 0.110413f, 0.121216f, 0.132812f, 0.145142f, 0.158203f, 0.171997f, 0.186401f, - 0.201538f, 0.217651f, 0.234497f, 0.251465f, 0.269287f, 0.288330f, 0.307129f, 0.327148f, 0.346924f, 0.367920f, 0.388428f, 0.409668f, - 0.430420f, 0.451416f, 0.474121f, 0.494873f, 0.516113f, 0.537598f, 0.558105f, 0.579102f, 0.598633f, 0.619629f, 0.639160f, 0.657715f, - 0.677734f, 0.695801f, 0.713867f, 0.731934f, 0.748047f, 0.764160f, 0.781738f, 0.796875f, 0.810547f, 0.826172f, 0.922363f, 0.925781f, - 0.924805f, 0.922852f, 0.921387f, 0.919434f, 0.001621f, 0.005188f, 0.008888f, 0.012939f, 0.016724f, 0.021271f, 0.025772f, 0.029984f, - 0.035553f, 0.040741f, 0.046417f, 0.052490f, 0.059265f, 0.066528f, 0.074097f, 0.081482f, 0.090271f, 0.100220f, 0.109741f, 0.120178f, - 0.131226f, 0.143188f, 0.156006f, 0.169189f, 0.183716f, 0.198486f, 0.214233f, 0.230713f, 0.247925f, 0.265381f, 0.284424f, 0.303711f, - 0.322754f, 0.342773f, 0.363525f, 0.384277f, 0.405518f, 0.427002f, 0.447754f, 0.469727f, 0.491455f, 0.512207f, 0.534180f, 0.554688f, - 0.576172f, 0.597168f, 0.617188f, 0.636719f, 0.657227f, 0.677734f, 0.695312f, 0.713379f, 0.731934f, 0.749512f, 0.766113f, 0.782715f, - 0.798340f, 0.813477f, 0.917480f, 0.920898f, 0.920410f, 0.919922f, 0.916992f, 0.915039f, 0.001581f, 0.004616f, 0.008049f, 0.011917f, - 0.015556f, 0.019547f, 0.023270f, 0.027908f, 0.031860f, 0.036652f, 0.041992f, 0.047577f, 0.053528f, 0.060150f, 0.066772f, 0.073914f, - 0.082153f, 0.090088f, 0.099304f, 0.108887f, 0.118835f, 0.129517f, 0.141357f, 0.154297f, 0.166992f, 0.180908f, 0.195557f, 0.210815f, - 0.227173f, 0.244141f, 0.261963f, 0.279785f, 0.299072f, 0.318359f, 0.338379f, 0.358887f, 0.380127f, 0.401123f, 0.422607f, 0.443848f, - 0.466309f, 0.487793f, 0.509277f, 0.530762f, 0.553223f, 0.573730f, 0.594727f, 0.616699f, 0.636719f, 0.656250f, 0.676270f, 0.695801f, - 0.713867f, 0.733398f, 0.750488f, 0.767090f, 0.784180f, 0.801270f, 0.912598f, 0.916992f, 0.916504f, 0.914551f, 0.913086f, 0.911133f, - 0.001476f, 0.004410f, 0.007374f, 0.010620f, 0.013931f, 0.017258f, 0.021057f, 0.024979f, 0.029144f, 0.033478f, 0.037872f, 0.042969f, - 0.048737f, 0.053986f, 0.060150f, 0.066895f, 0.074036f, 0.081665f, 0.089417f, 0.098083f, 0.107361f, 0.117371f, 0.127930f, 0.139648f, - 0.151489f, 0.164062f, 0.178589f, 0.192627f, 0.208130f, 0.223755f, 0.240601f, 0.258057f, 0.275879f, 0.295654f, 0.314697f, 0.334961f, - 0.354980f, 0.375977f, 0.396729f, 0.418945f, 0.440430f, 0.462402f, 0.484619f, 0.506348f, 0.528809f, 0.550781f, 0.572266f, 0.593750f, - 0.615234f, 0.637207f, 0.656738f, 0.676758f, 0.696289f, 0.716309f, 0.734863f, 0.752930f, 0.770508f, 0.788574f, 0.906738f, 0.911621f, - 0.912109f, 0.910156f, 0.908691f, 0.907227f, 0.001204f, 0.003998f, 0.006786f, 0.009850f, 0.012642f, 0.015762f, 0.019226f, 0.022751f, - 0.026749f, 0.030502f, 0.034698f, 0.038940f, 0.044006f, 0.048615f, 0.054352f, 0.060608f, 0.066711f, 0.073059f, 0.080505f, 0.088318f, - 0.097290f, 0.105835f, 0.115845f, 0.126343f, 0.137085f, 0.148804f, 0.161377f, 0.175049f, 0.189331f, 0.204346f, 0.219604f, 0.236816f, - 0.253662f, 0.272217f, 0.291260f, 0.310547f, 0.330811f, 0.350830f, 0.372314f, 0.393799f, 0.415771f, 0.437500f, 0.459717f, 0.481934f, - 0.504883f, 0.527344f, 0.549316f, 0.571777f, 0.593750f, 0.615723f, 0.636230f, 0.657715f, 0.678223f, 0.697754f, 0.718262f, 0.737793f, - 0.756348f, 0.774902f, 0.900879f, 0.907227f, 0.906738f, 0.905762f, 0.904297f, 0.902832f, 0.001290f, 0.003807f, 0.006207f, 0.008652f, - 0.011368f, 0.014618f, 0.017792f, 0.020813f, 0.023849f, 0.027588f, 0.031036f, 0.035400f, 0.039917f, 0.044250f, 0.049408f, 0.054321f, - 0.059937f, 0.065918f, 0.072937f, 0.079773f, 0.087463f, 0.095703f, 0.104553f, 0.113892f, 0.124146f, 0.134888f, 0.146606f, 0.159058f, - 0.171753f, 0.185913f, 0.201416f, 0.216309f, 0.232910f, 0.250000f, 0.268555f, 0.287354f, 0.306885f, 0.326904f, 0.347412f, 0.369141f, - 0.390381f, 0.412842f, 0.434570f, 0.457764f, 0.479736f, 0.502930f, 0.525879f, 0.547852f, 0.570801f, 0.592773f, 0.615723f, 0.637207f, - 0.659180f, 0.680176f, 0.700684f, 0.720703f, 0.740234f, 0.759766f, 0.895996f, 0.901855f, 0.901855f, 0.900879f, 0.899414f, 0.897949f, - 0.001030f, 0.003561f, 0.005718f, 0.008301f, 0.010582f, 0.013283f, 0.015839f, 0.018753f, 0.022156f, 0.025314f, 0.028427f, 0.032318f, - 0.035889f, 0.040039f, 0.044434f, 0.048737f, 0.054077f, 0.059723f, 0.065613f, 0.072083f, 0.079224f, 0.086426f, 0.094238f, 0.102966f, - 0.111938f, 0.122253f, 0.132568f, 0.143555f, 0.155884f, 0.168945f, 0.182861f, 0.197510f, 0.213379f, 0.229492f, 0.246948f, 0.264648f, - 0.283203f, 0.303467f, 0.322998f, 0.343994f, 0.365479f, 0.387451f, 0.409912f, 0.432129f, 0.455078f, 0.478760f, 0.501465f, 0.523926f, - 0.547852f, 0.570801f, 0.593750f, 0.616211f, 0.639160f, 0.661133f, 0.682617f, 0.703613f, 0.725098f, 0.745117f, 0.888672f, 0.896484f, - 0.896973f, 0.895020f, 0.895508f, 0.893555f, 0.001051f, 0.002956f, 0.005398f, 0.007523f, 0.009613f, 0.012024f, 0.014725f, 0.017059f, - 0.019714f, 0.022537f, 0.025681f, 0.029236f, 0.032715f, 0.036102f, 0.040100f, 0.043945f, 0.048859f, 0.053772f, 0.058838f, 0.064880f, - 0.070862f, 0.077576f, 0.084839f, 0.092712f, 0.101013f, 0.110229f, 0.119446f, 0.130005f, 0.141113f, 0.153198f, 0.166016f, 0.179565f, - 0.193970f, 0.209351f, 0.225830f, 0.242920f, 0.261230f, 0.280273f, 0.299316f, 0.320068f, 0.341309f, 0.363037f, 0.384521f, 0.407227f, - 0.429443f, 0.453369f, 0.477051f, 0.500977f, 0.524414f, 0.547852f, 0.571777f, 0.595215f, 0.619141f, 0.641602f, 0.664062f, 0.686035f, - 0.707520f, 0.729004f, 0.882812f, 0.891602f, 0.891113f, 0.890625f, 0.889160f, 0.888184f, 0.000934f, 0.002998f, 0.004883f, 0.006859f, - 0.009102f, 0.010925f, 0.012871f, 0.015656f, 0.017853f, 0.020767f, 0.023422f, 0.026413f, 0.029251f, 0.032593f, 0.036011f, 0.039825f, - 0.044495f, 0.048645f, 0.053284f, 0.058258f, 0.063782f, 0.069885f, 0.076111f, 0.083313f, 0.090881f, 0.099060f, 0.107788f, 0.117126f, - 0.127075f, 0.138428f, 0.150391f, 0.162720f, 0.176270f, 0.190796f, 0.206177f, 0.222290f, 0.239624f, 0.257568f, 0.276367f, 0.296387f, - 0.316895f, 0.338623f, 0.360352f, 0.382812f, 0.404785f, 0.428467f, 0.452148f, 0.476562f, 0.500488f, 0.524902f, 0.548828f, 0.572754f, - 0.597168f, 0.621094f, 0.644531f, 0.667480f, 0.689941f, 0.712402f, 0.875977f, 0.883789f, 0.884766f, 0.884766f, 0.883301f, 0.883789f, - 0.001108f, 0.002474f, 0.004707f, 0.006248f, 0.007744f, 0.009888f, 0.011787f, 0.014244f, 0.016205f, 0.018631f, 0.021286f, 0.023758f, - 0.026535f, 0.029510f, 0.032654f, 0.035919f, 0.039825f, 0.043762f, 0.047852f, 0.052368f, 0.057373f, 0.062561f, 0.068604f, 0.074707f, - 0.081360f, 0.088623f, 0.096802f, 0.105103f, 0.114624f, 0.124573f, 0.135498f, 0.147217f, 0.159424f, 0.172729f, 0.187378f, 0.202881f, - 0.219116f, 0.235962f, 0.254639f, 0.273438f, 0.293945f, 0.314453f, 0.335449f, 0.358154f, 0.380371f, 0.403564f, 0.428223f, 0.452148f, - 0.476074f, 0.500977f, 0.525879f, 0.550293f, 0.575195f, 0.599609f, 0.625000f, 0.649414f, 0.672852f, 0.695801f, 0.870117f, 0.879395f, - 0.879883f, 0.879395f, 0.878906f, 0.877441f, 0.000877f, 0.002495f, 0.003918f, 0.005669f, 0.007484f, 0.009148f, 0.010895f, 0.012634f, - 0.014717f, 0.017014f, 0.019302f, 0.021347f, 0.023849f, 0.026443f, 0.029388f, 0.032532f, 0.035492f, 0.039185f, 0.042816f, 0.046906f, - 0.051453f, 0.056122f, 0.061310f, 0.066895f, 0.072937f, 0.079590f, 0.086548f, 0.094360f, 0.103027f, 0.111938f, 0.121643f, 0.132568f, - 0.144043f, 0.156006f, 0.169434f, 0.184204f, 0.199341f, 0.215698f, 0.233032f, 0.251221f, 0.269531f, 0.290039f, 0.311768f, 0.333740f, - 0.355957f, 0.379395f, 0.402344f, 0.426758f, 0.451172f, 0.476562f, 0.501465f, 0.526855f, 0.552246f, 0.578613f, 0.603516f, 0.629395f, - 0.653809f, 0.679199f, 0.863281f, 0.872559f, 0.874023f, 0.873535f, 0.872559f, 0.871094f, 0.000779f, 0.002241f, 0.003813f, 0.005371f, - 0.006763f, 0.008186f, 0.009827f, 0.011574f, 0.013260f, 0.015274f, 0.017303f, 0.019119f, 0.021362f, 0.023972f, 0.026505f, 0.029144f, - 0.031860f, 0.035126f, 0.038422f, 0.041809f, 0.045929f, 0.050323f, 0.054840f, 0.059631f, 0.065002f, 0.070984f, 0.077759f, 0.084656f, - 0.091736f, 0.100037f, 0.109436f, 0.118835f, 0.129272f, 0.140625f, 0.152832f, 0.166138f, 0.180786f, 0.195679f, 0.211914f, 0.229736f, - 0.247803f, 0.267822f, 0.287598f, 0.309326f, 0.331055f, 0.354492f, 0.377686f, 0.401855f, 0.426270f, 0.451660f, 0.477051f, 0.503418f, - 0.529785f, 0.555664f, 0.583008f, 0.608887f, 0.635254f, 0.661133f, 0.855957f, 0.865234f, 0.866699f, 0.867188f, 0.866211f, 0.865723f, - 0.000778f, 0.002155f, 0.003584f, 0.004871f, 0.006149f, 0.007519f, 0.008858f, 0.010498f, 0.012100f, 0.013977f, 0.015511f, 0.017303f, - 0.019363f, 0.021515f, 0.023880f, 0.026230f, 0.028564f, 0.031555f, 0.034241f, 0.037476f, 0.041138f, 0.044983f, 0.048859f, 0.053436f, - 0.058014f, 0.063232f, 0.069214f, 0.075195f, 0.081848f, 0.089417f, 0.097168f, 0.106201f, 0.115479f, 0.126343f, 0.137695f, 0.149658f, - 0.162476f, 0.177002f, 0.192993f, 0.209473f, 0.226440f, 0.245239f, 0.264404f, 0.285156f, 0.306885f, 0.330078f, 0.353271f, 0.376465f, - 0.402100f, 0.426758f, 0.453857f, 0.479492f, 0.505859f, 0.532715f, 0.560547f, 0.587402f, 0.614258f, 0.640137f, 0.847168f, 0.858398f, - 0.860352f, 0.859863f, 0.859863f, 0.858887f, 0.000673f, 0.002026f, 0.003120f, 0.004242f, 0.005390f, 0.006874f, 0.008087f, 0.009346f, - 0.011192f, 0.012642f, 0.013855f, 0.015511f, 0.017502f, 0.019394f, 0.021301f, 0.023331f, 0.025681f, 0.028137f, 0.030792f, 0.033295f, - 0.036804f, 0.039917f, 0.043488f, 0.047363f, 0.051880f, 0.056580f, 0.061646f, 0.066956f, 0.072998f, 0.079407f, 0.086609f, 0.094971f, - 0.103027f, 0.112793f, 0.122742f, 0.134399f, 0.146118f, 0.159058f, 0.173828f, 0.188599f, 0.205444f, 0.223633f, 0.241943f, 0.262451f, - 0.283203f, 0.304932f, 0.328369f, 0.352051f, 0.376953f, 0.402100f, 0.428467f, 0.454834f, 0.481934f, 0.509766f, 0.537598f, 0.566406f, - 0.594238f, 0.622559f, 0.838867f, 0.852051f, 0.853516f, 0.853027f, 0.853027f, 0.852051f, 0.000419f, 0.001721f, 0.003044f, 0.003881f, - 0.005161f, 0.006329f, 0.007500f, 0.009117f, 0.009941f, 0.011147f, 0.013023f, 0.014053f, 0.015869f, 0.017181f, 0.018906f, 0.020889f, - 0.023026f, 0.025085f, 0.027435f, 0.029724f, 0.032440f, 0.035492f, 0.038605f, 0.042175f, 0.045898f, 0.049988f, 0.054504f, 0.059143f, - 0.064697f, 0.070435f, 0.076721f, 0.083984f, 0.091675f, 0.100037f, 0.109009f, 0.119629f, 0.130737f, 0.143066f, 0.156250f, 0.170654f, - 0.186157f, 0.202393f, 0.220825f, 0.239990f, 0.259521f, 0.281250f, 0.303467f, 0.327148f, 0.351318f, 0.376953f, 0.402832f, 0.430664f, - 0.458252f, 0.485596f, 0.514648f, 0.543457f, 0.572754f, 0.602051f, 0.830566f, 0.844238f, 0.845703f, 0.845703f, 0.845703f, 0.845215f, - 0.000503f, 0.001644f, 0.002455f, 0.003765f, 0.004906f, 0.005901f, 0.006805f, 0.007744f, 0.008789f, 0.009972f, 0.011314f, 0.012688f, - 0.014160f, 0.015480f, 0.016953f, 0.018555f, 0.020325f, 0.022232f, 0.024338f, 0.026535f, 0.028717f, 0.031403f, 0.034119f, 0.037384f, - 0.040680f, 0.044128f, 0.047943f, 0.052551f, 0.057098f, 0.062134f, 0.067871f, 0.074158f, 0.081543f, 0.088684f, 0.097107f, 0.106262f, - 0.116028f, 0.127563f, 0.139404f, 0.152344f, 0.167358f, 0.182739f, 0.199951f, 0.217773f, 0.237427f, 0.257812f, 0.279541f, 0.303223f, - 0.327148f, 0.351807f, 0.377441f, 0.405518f, 0.433105f, 0.460449f, 0.491211f, 0.520020f, 0.550293f, 0.581543f, 0.821777f, 0.835938f, - 0.837891f, 0.838867f, 0.838867f, 0.837891f, 0.000649f, 0.001432f, 0.002455f, 0.003469f, 0.004162f, 0.005192f, 0.006046f, 0.007053f, - 0.007919f, 0.009148f, 0.010185f, 0.011490f, 0.012558f, 0.013748f, 0.015083f, 0.016663f, 0.018341f, 0.019897f, 0.021561f, 0.023376f, - 0.025513f, 0.027725f, 0.030075f, 0.032745f, 0.035583f, 0.038544f, 0.041901f, 0.045898f, 0.049896f, 0.054443f, 0.059784f, 0.065186f, - 0.071228f, 0.078247f, 0.085632f, 0.093872f, 0.103088f, 0.113098f, 0.123840f, 0.135986f, 0.148682f, 0.163696f, 0.179321f, 0.196533f, - 0.214722f, 0.234985f, 0.256104f, 0.278320f, 0.302246f, 0.326660f, 0.352783f, 0.379395f, 0.406738f, 0.436279f, 0.465820f, 0.496338f, - 0.527344f, 0.559082f, 0.813477f, 0.827148f, 0.829590f, 0.830566f, 0.830566f, 0.829590f, 0.000427f, 0.001431f, 0.002077f, 0.002947f, - 0.004009f, 0.004860f, 0.005501f, 0.006416f, 0.007008f, 0.008171f, 0.009155f, 0.010063f, 0.011154f, 0.012474f, 0.013336f, 0.014793f, - 0.016006f, 0.017471f, 0.019119f, 0.020630f, 0.022079f, 0.024078f, 0.026505f, 0.028687f, 0.031128f, 0.033813f, 0.036804f, 0.040283f, - 0.043732f, 0.047882f, 0.052094f, 0.057281f, 0.062500f, 0.068726f, 0.075012f, 0.082581f, 0.090393f, 0.099487f, 0.109375f, 0.120728f, - 0.131958f, 0.145508f, 0.160278f, 0.176025f, 0.193848f, 0.212891f, 0.232788f, 0.253906f, 0.277344f, 0.302002f, 0.327637f, 0.354248f, - 0.382080f, 0.411621f, 0.441162f, 0.472656f, 0.504395f, 0.536621f, 0.803223f, 0.818359f, 0.821777f, 0.821777f, 0.822266f, 0.821777f, - 0.000574f, 0.001416f, 0.001961f, 0.002621f, 0.003527f, 0.004250f, 0.004894f, 0.005653f, 0.006340f, 0.007263f, 0.008255f, 0.008965f, - 0.009819f, 0.010857f, 0.011864f, 0.012917f, 0.014114f, 0.015358f, 0.016678f, 0.018005f, 0.019669f, 0.021347f, 0.023239f, 0.025070f, - 0.027267f, 0.029434f, 0.032318f, 0.035156f, 0.038269f, 0.041534f, 0.045624f, 0.049469f, 0.054321f, 0.059479f, 0.065369f, 0.071655f, - 0.078857f, 0.086853f, 0.095886f, 0.105652f, 0.116943f, 0.128662f, 0.142090f, 0.156860f, 0.173096f, 0.190918f, 0.210327f, 0.231201f, - 0.253418f, 0.277100f, 0.302490f, 0.328369f, 0.356445f, 0.385254f, 0.415771f, 0.446533f, 0.479736f, 0.513184f, 0.794434f, 0.810547f, - 0.812500f, 0.813477f, 0.812988f, 0.813477f, 0.000417f, 0.001152f, 0.002066f, 0.002480f, 0.003115f, 0.003778f, 0.004543f, 0.005001f, - 0.005936f, 0.006420f, 0.007130f, 0.007881f, 0.008789f, 0.009666f, 0.010605f, 0.011276f, 0.012352f, 0.013367f, 0.014626f, 0.015732f, - 0.017090f, 0.018509f, 0.020096f, 0.021759f, 0.023895f, 0.025681f, 0.027740f, 0.030121f, 0.032776f, 0.036011f, 0.039276f, 0.042694f, - 0.046906f, 0.051575f, 0.056488f, 0.061951f, 0.068481f, 0.075684f, 0.083191f, 0.092102f, 0.101990f, 0.112915f, 0.125122f, 0.138672f, - 0.153564f, 0.170410f, 0.188477f, 0.208008f, 0.229980f, 0.252441f, 0.276855f, 0.303711f, 0.331055f, 0.360596f, 0.391357f, 0.422607f, - 0.456299f, 0.490234f, 0.783203f, 0.799805f, 0.803223f, 0.804688f, 0.804199f, 0.805176f, 0.000422f, 0.000885f, 0.001743f, 0.002075f, - 0.002930f, 0.003460f, 0.004105f, 0.004696f, 0.005257f, 0.005753f, 0.006550f, 0.006916f, 0.007805f, 0.008308f, 0.009109f, 0.010056f, - 0.010918f, 0.011627f, 0.012787f, 0.013725f, 0.014732f, 0.016113f, 0.017319f, 0.018906f, 0.020264f, 0.022324f, 0.023911f, 0.026230f, - 0.028183f, 0.030884f, 0.033661f, 0.036865f, 0.040314f, 0.044189f, 0.048615f, 0.053284f, 0.058838f, 0.065491f, 0.072205f, 0.079651f, - 0.088379f, 0.098389f, 0.109314f, 0.121765f, 0.135010f, 0.150513f, 0.167358f, 0.186035f, 0.206543f, 0.228516f, 0.252197f, 0.278320f, - 0.305176f, 0.333496f, 0.364746f, 0.396973f, 0.430176f, 0.465820f, 0.772949f, 0.790527f, 0.794434f, 0.794922f, 0.795410f, 0.794922f, - 0.000211f, 0.000970f, 0.001484f, 0.002035f, 0.002586f, 0.003040f, 0.003540f, 0.004086f, 0.004696f, 0.005016f, 0.005508f, 0.006100f, - 0.006763f, 0.007401f, 0.008011f, 0.008675f, 0.009247f, 0.010071f, 0.011009f, 0.011940f, 0.012802f, 0.013870f, 0.014771f, 0.016281f, - 0.017487f, 0.018890f, 0.020584f, 0.022171f, 0.024200f, 0.026505f, 0.028870f, 0.031372f, 0.034363f, 0.037659f, 0.041412f, 0.045685f, - 0.050262f, 0.055664f, 0.061768f, 0.068359f, 0.076172f, 0.084717f, 0.094666f, 0.105835f, 0.117798f, 0.131958f, 0.147095f, 0.164795f, - 0.184326f, 0.204956f, 0.228271f, 0.253174f, 0.279785f, 0.307861f, 0.338379f, 0.370361f, 0.404785f, 0.440430f, 0.761230f, 0.780273f, - 0.783691f, 0.785645f, 0.786133f, 0.785156f, 0.000281f, 0.000954f, 0.001275f, 0.001745f, 0.002159f, 0.002810f, 0.003002f, 0.003622f, - 0.003918f, 0.004471f, 0.004776f, 0.005352f, 0.005852f, 0.006298f, 0.006989f, 0.007339f, 0.008087f, 0.008698f, 0.009499f, 0.010208f, - 0.010986f, 0.011871f, 0.012802f, 0.013809f, 0.014923f, 0.016129f, 0.017624f, 0.018753f, 0.020645f, 0.022156f, 0.024399f, 0.026382f, - 0.029037f, 0.031769f, 0.034851f, 0.038513f, 0.042542f, 0.047180f, 0.052063f, 0.058136f, 0.064819f, 0.072205f, 0.080933f, 0.090698f, - 0.101685f, 0.114441f, 0.128784f, 0.144287f, 0.162476f, 0.182617f, 0.203979f, 0.228149f, 0.253906f, 0.282227f, 0.312744f, 0.344482f, - 0.378418f, 0.415039f, 0.749023f, 0.770020f, 0.773438f, 0.774902f, 0.775391f, 0.776367f, 0.000200f, 0.000790f, 0.001209f, 0.001475f, - 0.002022f, 0.002375f, 0.002754f, 0.003136f, 0.003532f, 0.003851f, 0.004253f, 0.004719f, 0.004864f, 0.005455f, 0.005749f, 0.006435f, - 0.007053f, 0.007557f, 0.007988f, 0.008614f, 0.009216f, 0.010101f, 0.010712f, 0.011604f, 0.012596f, 0.013588f, 0.014877f, 0.016052f, - 0.017334f, 0.018753f, 0.020401f, 0.022415f, 0.024338f, 0.026642f, 0.029282f, 0.032196f, 0.035461f, 0.039215f, 0.043854f, 0.048706f, - 0.054413f, 0.060913f, 0.068237f, 0.076965f, 0.086792f, 0.097961f, 0.110657f, 0.125488f, 0.141846f, 0.160278f, 0.180542f, 0.203857f, - 0.229004f, 0.256348f, 0.286133f, 0.317627f, 0.351807f, 0.388184f, 0.737305f, 0.757812f, 0.762695f, 0.763672f, 0.764160f, 0.764648f, - 0.000214f, 0.000700f, 0.001134f, 0.001480f, 0.001724f, 0.002056f, 0.002468f, 0.002672f, 0.003069f, 0.003412f, 0.003618f, 0.003883f, - 0.004265f, 0.004627f, 0.004971f, 0.005508f, 0.005817f, 0.006397f, 0.006866f, 0.007244f, 0.007812f, 0.008446f, 0.009003f, 0.009872f, - 0.010544f, 0.011345f, 0.012375f, 0.013321f, 0.014275f, 0.015587f, 0.017075f, 0.018372f, 0.020050f, 0.022186f, 0.024246f, 0.026596f, - 0.029388f, 0.032562f, 0.036285f, 0.040344f, 0.045197f, 0.050568f, 0.056946f, 0.064514f, 0.072876f, 0.082886f, 0.093933f, 0.107056f, - 0.122070f, 0.139404f, 0.158325f, 0.180176f, 0.204590f, 0.231201f, 0.260010f, 0.290771f, 0.325195f, 0.361816f, 0.726074f, 0.747070f, - 0.751465f, 0.753418f, 0.753906f, 0.754395f, 0.000187f, 0.000637f, 0.001095f, 0.001133f, 0.001488f, 0.001872f, 0.002007f, 0.002253f, - 0.002590f, 0.002880f, 0.003010f, 0.003420f, 0.003593f, 0.003914f, 0.004322f, 0.004650f, 0.005051f, 0.005424f, 0.005733f, 0.006134f, - 0.006683f, 0.007183f, 0.007671f, 0.008072f, 0.008720f, 0.009483f, 0.010201f, 0.011070f, 0.011871f, 0.012863f, 0.013924f, 0.015167f, - 0.016434f, 0.018143f, 0.019669f, 0.021851f, 0.024109f, 0.026749f, 0.029587f, 0.033020f, 0.037109f, 0.041718f, 0.047119f, 0.053192f, - 0.060516f, 0.068848f, 0.078857f, 0.090149f, 0.104004f, 0.119202f, 0.136841f, 0.157471f, 0.180420f, 0.205322f, 0.234009f, 0.264648f, - 0.297852f, 0.335449f, 0.711914f, 0.735352f, 0.740234f, 0.741211f, 0.742676f, 0.742676f, 0.000201f, 0.000676f, 0.000884f, 0.001044f, - 0.001369f, 0.001633f, 0.001786f, 0.002001f, 0.002237f, 0.002460f, 0.002680f, 0.002777f, 0.003117f, 0.003408f, 0.003632f, 0.003910f, - 0.004211f, 0.004375f, 0.004772f, 0.005226f, 0.005520f, 0.005909f, 0.006302f, 0.006882f, 0.007385f, 0.007858f, 0.008553f, 0.008919f, - 0.009827f, 0.010582f, 0.011398f, 0.012520f, 0.013611f, 0.014725f, 0.016190f, 0.017593f, 0.019424f, 0.021622f, 0.023941f, 0.026703f, - 0.029938f, 0.033539f, 0.038055f, 0.043243f, 0.049408f, 0.056519f, 0.065002f, 0.074951f, 0.086548f, 0.100403f, 0.116394f, 0.135132f, - 0.156860f, 0.181030f, 0.208252f, 0.238281f, 0.271240f, 0.307861f, 0.698730f, 0.722656f, 0.727539f, 0.729980f, 0.730957f, 0.730469f, - 0.000185f, 0.000371f, 0.000784f, 0.001028f, 0.001153f, 0.001304f, 0.001567f, 0.001792f, 0.001790f, 0.002028f, 0.002283f, 0.002424f, - 0.002640f, 0.002764f, 0.003044f, 0.003313f, 0.003445f, 0.003748f, 0.004044f, 0.004337f, 0.004677f, 0.004879f, 0.005207f, 0.005661f, - 0.006027f, 0.006481f, 0.006870f, 0.007454f, 0.007874f, 0.008583f, 0.009239f, 0.009880f, 0.010849f, 0.011871f, 0.012833f, 0.014153f, - 0.015656f, 0.017151f, 0.018967f, 0.021118f, 0.023621f, 0.026703f, 0.030197f, 0.034576f, 0.039368f, 0.045441f, 0.052460f, 0.061157f, - 0.070862f, 0.083069f, 0.097290f, 0.114441f, 0.134155f, 0.157104f, 0.182983f, 0.212158f, 0.244507f, 0.281250f, 0.684570f, 0.710449f, - 0.715332f, 0.717285f, 0.717773f, 0.718750f, 0.000109f, 0.000455f, 0.000558f, 0.000757f, 0.000986f, 0.001166f, 0.001298f, 0.001310f, - 0.001566f, 0.001614f, 0.001852f, 0.001933f, 0.002062f, 0.002327f, 0.002571f, 0.002699f, 0.002909f, 0.003057f, 0.003254f, 0.003496f, - 0.003643f, 0.004066f, 0.004295f, 0.004665f, 0.004822f, 0.005161f, 0.005722f, 0.006008f, 0.006424f, 0.006897f, 0.007435f, 0.008049f, - 0.008789f, 0.009529f, 0.010284f, 0.011177f, 0.012321f, 0.013466f, 0.014885f, 0.016586f, 0.018417f, 0.020844f, 0.023575f, 0.026810f, - 0.030655f, 0.035400f, 0.041412f, 0.048462f, 0.056976f, 0.067322f, 0.079712f, 0.094543f, 0.112610f, 0.133789f, 0.158691f, 0.186279f, - 0.217896f, 0.253418f, 0.670898f, 0.696777f, 0.702148f, 0.704590f, 0.705078f, 0.705566f, 0.000000f, 0.000317f, 0.000556f, 0.000619f, - 0.000759f, 0.000889f, 0.001012f, 0.001163f, 0.001282f, 0.001353f, 0.001531f, 0.001621f, 0.001681f, 0.001862f, 0.001976f, 0.002140f, - 0.002392f, 0.002502f, 0.002745f, 0.002838f, 0.003019f, 0.003311f, 0.003477f, 0.003639f, 0.003889f, 0.004166f, 0.004429f, 0.004784f, - 0.005119f, 0.005547f, 0.006042f, 0.006317f, 0.006901f, 0.007442f, 0.008110f, 0.008751f, 0.009583f, 0.010590f, 0.011566f, 0.012894f, - 0.014404f, 0.015930f, 0.018158f, 0.020569f, 0.023697f, 0.027374f, 0.031830f, 0.037567f, 0.044434f, 0.053009f, 0.063599f, 0.076538f, - 0.092346f, 0.111511f, 0.134521f, 0.161133f, 0.191772f, 0.227173f, 0.654297f, 0.684082f, 0.687988f, 0.690918f, 0.691895f, 0.691895f, - 0.000000f, 0.000275f, 0.000368f, 0.000572f, 0.000683f, 0.000731f, 0.000877f, 0.000979f, 0.001039f, 0.001091f, 0.001234f, 0.001332f, - 0.001447f, 0.001547f, 0.001601f, 0.001760f, 0.001790f, 0.002007f, 0.002119f, 0.002245f, 0.002493f, 0.002565f, 0.002747f, 0.002920f, - 0.003168f, 0.003235f, 0.003551f, 0.003830f, 0.004040f, 0.004368f, 0.004658f, 0.005001f, 0.005337f, 0.005798f, 0.006287f, 0.006794f, - 0.007488f, 0.008087f, 0.008865f, 0.009773f, 0.010963f, 0.012199f, 0.013649f, 0.015610f, 0.017822f, 0.020493f, 0.023849f, 0.028320f, - 0.033752f, 0.040466f, 0.049377f, 0.060028f, 0.073853f, 0.090698f, 0.111572f, 0.136841f, 0.166016f, 0.199341f, 0.640137f, 0.667969f, - 0.675781f, 0.676758f, 0.678223f, 0.678223f, 0.000017f, 0.000193f, 0.000383f, 0.000487f, 0.000586f, 0.000597f, 0.000618f, 0.000733f, - 0.000826f, 0.000863f, 0.000902f, 0.001037f, 0.001121f, 0.001244f, 0.001342f, 0.001329f, 0.001514f, 0.001506f, 0.001719f, 0.001793f, - 0.001851f, 0.002016f, 0.002182f, 0.002281f, 0.002432f, 0.002554f, 0.002708f, 0.002859f, 0.003168f, 0.003344f, 0.003563f, 0.003845f, - 0.004158f, 0.004478f, 0.004852f, 0.005154f, 0.005714f, 0.006207f, 0.006752f, 0.007370f, 0.008186f, 0.009155f, 0.010193f, 0.011490f, - 0.013016f, 0.015144f, 0.017517f, 0.020752f, 0.024811f, 0.029922f, 0.036835f, 0.045593f, 0.056946f, 0.071533f, 0.090576f, 0.113159f, - 0.140991f, 0.173340f, 0.624023f, 0.653809f, 0.660156f, 0.663574f, 0.664551f, 0.664062f, 0.000194f, 0.000227f, 0.000316f, 0.000451f, - 0.000449f, 0.000482f, 0.000610f, 0.000511f, 0.000654f, 0.000673f, 0.000804f, 0.000844f, 0.000880f, 0.000955f, 0.000961f, 0.001127f, - 0.001169f, 0.001210f, 0.001318f, 0.001330f, 0.001507f, 0.001592f, 0.001657f, 0.001771f, 0.001839f, 0.001953f, 0.002083f, 0.002214f, - 0.002399f, 0.002518f, 0.002815f, 0.002882f, 0.003132f, 0.003361f, 0.003605f, 0.003925f, 0.004177f, 0.004528f, 0.004963f, 0.005527f, - 0.006027f, 0.006783f, 0.007381f, 0.008469f, 0.009644f, 0.010849f, 0.012772f, 0.014748f, 0.017578f, 0.021332f, 0.026367f, 0.033142f, - 0.042389f, 0.054413f, 0.070129f, 0.091064f, 0.116943f, 0.147339f, 0.608887f, 0.640137f, 0.645996f, 0.647461f, 0.650391f, 0.651367f, - 0.000166f, 0.000146f, 0.000248f, 0.000320f, 0.000288f, 0.000446f, 0.000375f, 0.000407f, 0.000468f, 0.000514f, 0.000629f, 0.000638f, - 0.000681f, 0.000773f, 0.000806f, 0.000766f, 0.000883f, 0.000927f, 0.000959f, 0.001036f, 0.001097f, 0.001172f, 0.001224f, 0.001297f, - 0.001392f, 0.001425f, 0.001592f, 0.001631f, 0.001793f, 0.001965f, 0.002089f, 0.002157f, 0.002321f, 0.002495f, 0.002680f, 0.002874f, - 0.003054f, 0.003305f, 0.003632f, 0.003902f, 0.004314f, 0.004753f, 0.005306f, 0.005901f, 0.006828f, 0.007645f, 0.008896f, 0.010323f, - 0.012283f, 0.014816f, 0.018234f, 0.023010f, 0.029678f, 0.039276f, 0.052307f, 0.070190f, 0.093811f, 0.123474f, 0.591797f, 0.623535f, - 0.631348f, 0.633301f, 0.634766f, 0.635254f, 0.000000f, 0.000154f, 0.000184f, 0.000257f, 0.000265f, 0.000266f, 0.000323f, 0.000291f, - 0.000369f, 0.000384f, 0.000450f, 0.000472f, 0.000505f, 0.000572f, 0.000577f, 0.000604f, 0.000636f, 0.000675f, 0.000699f, 0.000736f, - 0.000787f, 0.000840f, 0.000890f, 0.000945f, 0.000988f, 0.001039f, 0.001165f, 0.001165f, 0.001266f, 0.001318f, 0.001410f, 0.001550f, - 0.001618f, 0.001743f, 0.001866f, 0.001997f, 0.002151f, 0.002319f, 0.002562f, 0.002779f, 0.002975f, 0.003298f, 0.003674f, 0.004131f, - 0.004604f, 0.005268f, 0.006065f, 0.007027f, 0.008316f, 0.009949f, 0.012390f, 0.015526f, 0.019852f, 0.026733f, 0.036682f, 0.051666f, - 0.072449f, 0.099792f, 0.574707f, 0.608398f, 0.614746f, 0.618164f, 0.619629f, 0.621094f, 0.000000f, 0.000008f, 0.000146f, 0.000181f, - 0.000203f, 0.000243f, 0.000206f, 0.000250f, 0.000257f, 0.000283f, 0.000335f, 0.000293f, 0.000304f, 0.000368f, 0.000373f, 0.000435f, - 0.000418f, 0.000468f, 0.000539f, 0.000540f, 0.000564f, 0.000598f, 0.000628f, 0.000657f, 0.000716f, 0.000724f, 0.000797f, 0.000807f, - 0.000883f, 0.001002f, 0.000974f, 0.001037f, 0.001104f, 0.001196f, 0.001316f, 0.001394f, 0.001445f, 0.001574f, 0.001746f, 0.001829f, - 0.002005f, 0.002222f, 0.002401f, 0.002699f, 0.003057f, 0.003372f, 0.003874f, 0.004505f, 0.005360f, 0.006500f, 0.007927f, 0.009972f, - 0.012878f, 0.017258f, 0.024155f, 0.035339f, 0.052795f, 0.077637f, 0.558105f, 0.592285f, 0.600586f, 0.602539f, 0.604004f, 0.605469f, - 0.000000f, 0.000107f, 0.000122f, 0.000093f, 0.000133f, 0.000142f, 0.000149f, 0.000174f, 0.000174f, 0.000184f, 0.000190f, 0.000234f, - 0.000214f, 0.000250f, 0.000273f, 0.000286f, 0.000292f, 0.000302f, 0.000329f, 0.000336f, 0.000366f, 0.000391f, 0.000408f, 0.000444f, - 0.000452f, 0.000495f, 0.000531f, 0.000559f, 0.000578f, 0.000611f, 0.000659f, 0.000675f, 0.000757f, 0.000771f, 0.000854f, 0.000906f, - 0.000957f, 0.001004f, 0.001102f, 0.001187f, 0.001267f, 0.001394f, 0.001546f, 0.001683f, 0.001922f, 0.002094f, 0.002420f, 0.002754f, - 0.003254f, 0.003878f, 0.004757f, 0.005997f, 0.007812f, 0.010544f, 0.014786f, 0.022324f, 0.035522f, 0.057465f, 0.541504f, 0.576172f, - 0.583984f, 0.585938f, 0.588379f, 0.590332f, 0.000000f, 0.000099f, 0.000091f, 0.000084f, 0.000084f, 0.000086f, 0.000089f, 0.000101f, - 0.000105f, 0.000109f, 0.000122f, 0.000124f, 0.000132f, 0.000146f, 0.000171f, 0.000172f, 0.000176f, 0.000198f, 0.000197f, 0.000239f, - 0.000218f, 0.000235f, 0.000240f, 0.000281f, 0.000309f, 0.000301f, 0.000312f, 0.000321f, 0.000347f, 0.000370f, 0.000387f, 0.000419f, - 0.000444f, 0.000458f, 0.000513f, 0.000536f, 0.000570f, 0.000607f, 0.000688f, 0.000703f, 0.000754f, 0.000834f, 0.000890f, 0.000997f, - 0.001100f, 0.001238f, 0.001410f, 0.001584f, 0.001859f, 0.002207f, 0.002665f, 0.003323f, 0.004353f, 0.005947f, 0.008492f, 0.012909f, - 0.021606f, 0.039368f, 0.522461f, 0.559082f, 0.566406f, 0.569824f, 0.572266f, 0.572754f, 0.000108f, 0.000089f, 0.000079f, 0.000072f, - 0.000068f, 0.000065f, 0.000061f, 0.000057f, 0.000061f, 0.000062f, 0.000063f, 0.000086f, 0.000070f, 0.000071f, 0.000095f, 0.000080f, - 0.000107f, 0.000113f, 0.000115f, 0.000124f, 0.000121f, 0.000130f, 0.000151f, 0.000154f, 0.000164f, 0.000170f, 0.000176f, 0.000189f, - 0.000193f, 0.000215f, 0.000211f, 0.000242f, 0.000252f, 0.000260f, 0.000280f, 0.000293f, 0.000312f, 0.000350f, 0.000359f, 0.000389f, - 0.000410f, 0.000452f, 0.000481f, 0.000535f, 0.000578f, 0.000643f, 0.000718f, 0.000812f, 0.000939f, 0.001107f, 0.001329f, 0.001644f, - 0.002155f, 0.002930f, 0.004284f, 0.006706f, 0.011452f, 0.023895f, 0.504395f, 0.542480f, 0.550293f, 0.553711f, 0.555664f, 0.557129f, - 0.000093f, 0.000072f, 0.000063f, 0.000058f, 0.000053f, 0.000050f, 0.000047f, 0.000046f, 0.000044f, 0.000042f, 0.000039f, 0.000037f, - 0.000042f, 0.000035f, 0.000036f, 0.000037f, 0.000051f, 0.000046f, 0.000057f, 0.000058f, 0.000061f, 0.000062f, 0.000066f, 0.000069f, - 0.000072f, 0.000087f, 0.000077f, 0.000088f, 0.000093f, 0.000099f, 0.000103f, 0.000109f, 0.000115f, 0.000122f, 0.000139f, 0.000134f, - 0.000142f, 0.000170f, 0.000175f, 0.000179f, 0.000192f, 0.000203f, 0.000228f, 0.000245f, 0.000265f, 0.000291f, 0.000326f, 0.000360f, - 0.000420f, 0.000481f, 0.000574f, 0.000686f, 0.000887f, 0.001203f, 0.001759f, 0.002892f, 0.005318f, 0.011955f, 0.487305f, 0.524902f, - 0.534180f, 0.538086f, 0.539551f, 0.540527f, 0.000066f, 0.000049f, 0.000041f, 0.000037f, 0.000034f, 0.000033f, 0.000032f, 0.000030f, - 0.000029f, 0.000028f, 0.000028f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000022f, 0.000023f, - 0.000019f, 0.000018f, 0.000019f, 0.000024f, 0.000026f, 0.000029f, 0.000032f, 0.000032f, 0.000036f, 0.000034f, 0.000040f, 0.000041f, - 0.000043f, 0.000049f, 0.000049f, 0.000050f, 0.000056f, 0.000059f, 0.000067f, 0.000067f, 0.000074f, 0.000078f, 0.000082f, 0.000092f, - 0.000094f, 0.000103f, 0.000120f, 0.000130f, 0.000141f, 0.000163f, 0.000191f, 0.000230f, 0.000286f, 0.000374f, 0.000543f, 0.000890f, - 0.001802f, 0.004650f, 0.468994f, 0.507812f, 0.516602f, 0.520508f, 0.522461f, 0.523926f, 0.000007f, 0.000008f, 0.000008f, 0.000008f, - 0.000011f, 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, - 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, - 0.000008f, 0.000008f, 0.000009f, 0.000009f, 0.000009f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000014f, 0.000013f, 0.000016f, - 0.000015f, 0.000018f, 0.000020f, 0.000021f, 0.000022f, 0.000025f, 0.000024f, 0.000025f, 0.000030f, 0.000031f, 0.000040f, 0.000046f, - 0.000052f, 0.000071f, 0.000099f, 0.000147f, 0.000306f, 0.001072f, 0.450439f, 0.491211f, 0.499756f, 0.503418f, 0.505859f, 0.507324f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000007f, 0.000024f, 0.432129f, 0.474121f, - 0.482666f, 0.486572f, 0.489014f, 0.490234f, - }, - { - 0.027573f, 0.080750f, 0.130981f, 0.177734f, 0.222290f, 0.263672f, 0.302002f, 0.338623f, 0.373291f, 0.405029f, 0.435791f, 0.464111f, - 0.490967f, 0.516602f, 0.540039f, 0.563477f, 0.584961f, 0.605469f, 0.625000f, 0.644043f, 0.660645f, 0.677246f, 0.693848f, 0.708496f, - 0.724121f, 0.738281f, 0.751465f, 0.764648f, 0.776855f, 0.789062f, 0.799805f, 0.810547f, 0.821289f, 0.831055f, 0.840820f, 0.850098f, - 0.859863f, 0.867676f, 0.876953f, 0.884277f, 0.892578f, 0.900391f, 0.907227f, 0.914551f, 0.921875f, 0.928223f, 0.934082f, 0.940430f, - 0.946777f, 0.952637f, 0.957520f, 0.964355f, 0.968262f, 0.974121f, 0.979004f, 0.983887f, 0.989258f, 0.994141f, 0.993164f, 0.983398f, - 0.976074f, 0.969238f, 0.962891f, 0.957031f, 0.022873f, 0.067871f, 0.111511f, 0.153809f, 0.193359f, 0.232788f, 0.268799f, 0.303223f, - 0.337402f, 0.368652f, 0.399414f, 0.427734f, 0.455078f, 0.481201f, 0.506348f, 0.529785f, 0.552246f, 0.573242f, 0.593750f, 0.613281f, - 0.632324f, 0.650391f, 0.667480f, 0.683105f, 0.698730f, 0.713867f, 0.728516f, 0.741211f, 0.755371f, 0.767578f, 0.779785f, 0.791504f, - 0.803223f, 0.813477f, 0.823242f, 0.834473f, 0.843750f, 0.853027f, 0.861816f, 0.870605f, 0.878906f, 0.887695f, 0.895996f, 0.901855f, - 0.910645f, 0.917480f, 0.923828f, 0.930176f, 0.937012f, 0.943359f, 0.949707f, 0.955078f, 0.960938f, 0.966797f, 0.972656f, 0.977051f, - 0.982422f, 0.987305f, 0.989746f, 0.981445f, 0.973633f, 0.967773f, 0.961426f, 0.956055f, 0.019089f, 0.057007f, 0.095215f, 0.132202f, - 0.168823f, 0.204712f, 0.238281f, 0.272217f, 0.304688f, 0.334717f, 0.364502f, 0.392822f, 0.420898f, 0.446533f, 0.471924f, 0.495850f, - 0.518555f, 0.541992f, 0.562988f, 0.582520f, 0.602539f, 0.621094f, 0.639160f, 0.655762f, 0.672852f, 0.687988f, 0.703613f, 0.718262f, - 0.732422f, 0.746094f, 0.758789f, 0.771484f, 0.783203f, 0.795898f, 0.807129f, 0.817383f, 0.827637f, 0.837402f, 0.846680f, 0.856445f, - 0.865234f, 0.874023f, 0.882324f, 0.890137f, 0.898438f, 0.905273f, 0.913574f, 0.920410f, 0.927246f, 0.934082f, 0.940918f, 0.946777f, - 0.953125f, 0.958496f, 0.964844f, 0.969727f, 0.975586f, 0.980957f, 0.986816f, 0.979004f, 0.971680f, 0.965332f, 0.959961f, 0.954590f, - 0.016327f, 0.048676f, 0.081787f, 0.114807f, 0.147705f, 0.180176f, 0.211426f, 0.243652f, 0.273438f, 0.303223f, 0.332031f, 0.360107f, - 0.386963f, 0.412598f, 0.438477f, 0.462891f, 0.487305f, 0.510254f, 0.530762f, 0.552246f, 0.572754f, 0.590820f, 0.610352f, 0.629883f, - 0.647461f, 0.662598f, 0.679688f, 0.693848f, 0.709961f, 0.723633f, 0.737305f, 0.750977f, 0.763672f, 0.776367f, 0.788086f, 0.799316f, - 0.810059f, 0.820801f, 0.832031f, 0.841309f, 0.851074f, 0.860352f, 0.868652f, 0.877930f, 0.886230f, 0.894531f, 0.902832f, 0.910156f, - 0.916504f, 0.924316f, 0.930664f, 0.937500f, 0.943848f, 0.950684f, 0.957031f, 0.962891f, 0.968262f, 0.974121f, 0.983887f, 0.976074f, - 0.969727f, 0.963867f, 0.958496f, 0.953125f, 0.013573f, 0.041901f, 0.070801f, 0.100098f, 0.129517f, 0.159058f, 0.187866f, 0.217041f, - 0.246216f, 0.274414f, 0.302002f, 0.328857f, 0.354980f, 0.381592f, 0.406738f, 0.431641f, 0.455322f, 0.478271f, 0.500000f, 0.521484f, - 0.541992f, 0.563477f, 0.583008f, 0.600098f, 0.619141f, 0.636719f, 0.653320f, 0.671387f, 0.684570f, 0.699707f, 0.715332f, 0.729492f, - 0.743164f, 0.755371f, 0.768555f, 0.780762f, 0.792480f, 0.804199f, 0.814453f, 0.824707f, 0.835449f, 0.845215f, 0.854980f, 0.864746f, - 0.874023f, 0.882812f, 0.890137f, 0.898438f, 0.905762f, 0.914062f, 0.921387f, 0.928223f, 0.935059f, 0.941406f, 0.948242f, 0.955078f, - 0.961426f, 0.966797f, 0.980957f, 0.973633f, 0.967773f, 0.961914f, 0.956543f, 0.951660f, 0.011681f, 0.036316f, 0.061584f, 0.087524f, - 0.113342f, 0.140259f, 0.167358f, 0.194214f, 0.220947f, 0.247437f, 0.273926f, 0.300537f, 0.325684f, 0.351074f, 0.375732f, 0.400146f, - 0.423828f, 0.446533f, 0.469482f, 0.491943f, 0.512695f, 0.532715f, 0.553223f, 0.573242f, 0.592285f, 0.609863f, 0.627930f, 0.644531f, - 0.660156f, 0.676758f, 0.691406f, 0.706055f, 0.720215f, 0.734863f, 0.749023f, 0.762207f, 0.774414f, 0.786133f, 0.797852f, 0.809082f, - 0.820801f, 0.831055f, 0.840332f, 0.850098f, 0.859863f, 0.869629f, 0.878418f, 0.886719f, 0.895508f, 0.903809f, 0.910645f, 0.918945f, - 0.925781f, 0.932617f, 0.939453f, 0.947754f, 0.953613f, 0.958984f, 0.977539f, 0.970703f, 0.964844f, 0.959473f, 0.954102f, 0.949707f, - 0.010330f, 0.031525f, 0.053406f, 0.076538f, 0.100159f, 0.124084f, 0.148193f, 0.173096f, 0.197998f, 0.223267f, 0.247681f, 0.273193f, - 0.297607f, 0.322021f, 0.346924f, 0.370117f, 0.394043f, 0.417236f, 0.439697f, 0.462158f, 0.483887f, 0.504883f, 0.524902f, 0.545410f, - 0.563477f, 0.583008f, 0.602539f, 0.618652f, 0.636230f, 0.652344f, 0.669922f, 0.685059f, 0.699219f, 0.714355f, 0.729004f, 0.741211f, - 0.755371f, 0.767578f, 0.780762f, 0.792480f, 0.803711f, 0.815918f, 0.825195f, 0.836914f, 0.846191f, 0.855957f, 0.864746f, 0.874512f, - 0.883301f, 0.891602f, 0.900391f, 0.908203f, 0.916016f, 0.923828f, 0.931152f, 0.937988f, 0.945801f, 0.952148f, 0.974121f, 0.967773f, - 0.962891f, 0.957520f, 0.952637f, 0.947754f, 0.009186f, 0.027359f, 0.047302f, 0.067505f, 0.088806f, 0.109924f, 0.132202f, 0.154907f, - 0.177246f, 0.201050f, 0.224121f, 0.247925f, 0.271240f, 0.295410f, 0.318359f, 0.341797f, 0.365234f, 0.387939f, 0.410156f, 0.432861f, - 0.454590f, 0.475586f, 0.495850f, 0.517090f, 0.536621f, 0.556152f, 0.575195f, 0.592773f, 0.609863f, 0.628418f, 0.645020f, 0.661133f, - 0.677246f, 0.692383f, 0.707520f, 0.721191f, 0.735352f, 0.748047f, 0.762207f, 0.774414f, 0.786621f, 0.798828f, 0.810547f, 0.820801f, - 0.831543f, 0.842285f, 0.852539f, 0.862305f, 0.871094f, 0.880859f, 0.889648f, 0.898438f, 0.906738f, 0.914551f, 0.921875f, 0.929199f, - 0.936035f, 0.944824f, 0.971191f, 0.965332f, 0.959473f, 0.955078f, 0.950195f, 0.945801f, 0.008041f, 0.024384f, 0.041321f, 0.059631f, - 0.078003f, 0.097656f, 0.117554f, 0.138428f, 0.159912f, 0.181152f, 0.203003f, 0.224976f, 0.247070f, 0.269531f, 0.292480f, 0.314697f, - 0.337891f, 0.360352f, 0.382324f, 0.403809f, 0.426025f, 0.447998f, 0.468018f, 0.488770f, 0.508301f, 0.528320f, 0.547852f, 0.567383f, - 0.585449f, 0.603516f, 0.620605f, 0.637695f, 0.654297f, 0.670410f, 0.686523f, 0.700195f, 0.715820f, 0.729980f, 0.743164f, 0.756836f, - 0.769531f, 0.782715f, 0.794434f, 0.805664f, 0.816895f, 0.827637f, 0.838379f, 0.848633f, 0.859375f, 0.868164f, 0.877930f, 0.887695f, - 0.895996f, 0.905273f, 0.912598f, 0.920898f, 0.928711f, 0.936035f, 0.966797f, 0.962402f, 0.957031f, 0.952637f, 0.947754f, 0.943848f, - 0.007095f, 0.021515f, 0.036926f, 0.052704f, 0.069641f, 0.087463f, 0.105347f, 0.123413f, 0.143188f, 0.163452f, 0.183105f, 0.204102f, - 0.225220f, 0.246704f, 0.268066f, 0.290283f, 0.311768f, 0.333740f, 0.355225f, 0.376465f, 0.397949f, 0.419434f, 0.440430f, 0.461670f, - 0.481445f, 0.500977f, 0.520020f, 0.540527f, 0.559570f, 0.578125f, 0.595703f, 0.613770f, 0.630371f, 0.646973f, 0.663086f, 0.678223f, - 0.694336f, 0.709473f, 0.723145f, 0.736328f, 0.750000f, 0.764648f, 0.777344f, 0.790039f, 0.801270f, 0.812988f, 0.824707f, 0.834961f, - 0.846191f, 0.856934f, 0.865723f, 0.875977f, 0.884766f, 0.894531f, 0.903320f, 0.911621f, 0.919922f, 0.927734f, 0.962891f, 0.959473f, - 0.954102f, 0.949219f, 0.945312f, 0.941406f, 0.006138f, 0.019150f, 0.033051f, 0.047089f, 0.061829f, 0.077515f, 0.094299f, 0.111084f, - 0.128174f, 0.146729f, 0.165771f, 0.185059f, 0.205200f, 0.224731f, 0.245361f, 0.265625f, 0.286865f, 0.307861f, 0.328857f, 0.350098f, - 0.370605f, 0.392090f, 0.413086f, 0.433594f, 0.454346f, 0.474609f, 0.493896f, 0.513672f, 0.532227f, 0.552734f, 0.569824f, 0.588867f, - 0.605957f, 0.623047f, 0.640625f, 0.656738f, 0.672852f, 0.688477f, 0.703613f, 0.717773f, 0.732910f, 0.746582f, 0.759766f, 0.772461f, - 0.786621f, 0.798340f, 0.810059f, 0.820312f, 0.832520f, 0.842773f, 0.853516f, 0.863770f, 0.873535f, 0.883789f, 0.892578f, 0.901367f, - 0.910645f, 0.919434f, 0.958984f, 0.955566f, 0.951172f, 0.946777f, 0.942871f, 0.938965f, 0.005424f, 0.017059f, 0.029541f, 0.042023f, - 0.055389f, 0.069397f, 0.083984f, 0.099670f, 0.115601f, 0.132324f, 0.149292f, 0.167114f, 0.185547f, 0.204468f, 0.224121f, 0.243896f, - 0.262939f, 0.283691f, 0.304443f, 0.323486f, 0.345459f, 0.365479f, 0.386230f, 0.407471f, 0.426758f, 0.448486f, 0.467529f, 0.487061f, - 0.506348f, 0.526367f, 0.545410f, 0.563965f, 0.581543f, 0.600098f, 0.617676f, 0.634277f, 0.650391f, 0.666016f, 0.682617f, 0.697754f, - 0.712891f, 0.727539f, 0.741211f, 0.755859f, 0.769043f, 0.782227f, 0.793945f, 0.806152f, 0.818848f, 0.830566f, 0.840332f, 0.851074f, - 0.861328f, 0.872070f, 0.881836f, 0.892090f, 0.900879f, 0.910645f, 0.955566f, 0.952637f, 0.948730f, 0.943359f, 0.939941f, 0.935547f, - 0.004833f, 0.015442f, 0.026169f, 0.037689f, 0.049683f, 0.062164f, 0.075806f, 0.089539f, 0.103760f, 0.119263f, 0.134888f, 0.151978f, - 0.168335f, 0.186646f, 0.204102f, 0.223022f, 0.242065f, 0.260986f, 0.280518f, 0.300537f, 0.320801f, 0.340820f, 0.360107f, 0.381104f, - 0.401367f, 0.421387f, 0.441650f, 0.460449f, 0.480957f, 0.500000f, 0.519531f, 0.538574f, 0.557129f, 0.575684f, 0.593262f, 0.610840f, - 0.628906f, 0.645508f, 0.662109f, 0.677246f, 0.692871f, 0.708008f, 0.723145f, 0.738281f, 0.751465f, 0.766113f, 0.778320f, 0.791504f, - 0.802246f, 0.816406f, 0.827637f, 0.838867f, 0.850098f, 0.860352f, 0.871582f, 0.881348f, 0.890137f, 0.899902f, 0.951660f, 0.948730f, - 0.944824f, 0.940918f, 0.937012f, 0.933594f, 0.004269f, 0.013809f, 0.023911f, 0.033569f, 0.044342f, 0.056213f, 0.068054f, 0.080811f, - 0.093933f, 0.107910f, 0.122131f, 0.137451f, 0.152710f, 0.169434f, 0.185791f, 0.203979f, 0.221436f, 0.239990f, 0.257812f, 0.277344f, - 0.296631f, 0.316162f, 0.335693f, 0.355713f, 0.375244f, 0.395996f, 0.416016f, 0.436035f, 0.455078f, 0.474365f, 0.494629f, 0.513184f, - 0.532715f, 0.550781f, 0.569336f, 0.586914f, 0.604980f, 0.622559f, 0.639648f, 0.655762f, 0.672363f, 0.688477f, 0.704102f, 0.718750f, - 0.733887f, 0.747559f, 0.761230f, 0.775391f, 0.788574f, 0.800781f, 0.814453f, 0.825684f, 0.837402f, 0.848633f, 0.859375f, 0.870605f, - 0.880371f, 0.891113f, 0.947754f, 0.945312f, 0.941895f, 0.937988f, 0.934082f, 0.931152f, 0.004028f, 0.012581f, 0.021133f, 0.030396f, - 0.039948f, 0.050323f, 0.061523f, 0.072815f, 0.084961f, 0.096985f, 0.110535f, 0.124756f, 0.138916f, 0.153687f, 0.169800f, 0.185669f, - 0.202881f, 0.219116f, 0.237305f, 0.255615f, 0.273926f, 0.293213f, 0.311768f, 0.331055f, 0.351074f, 0.370605f, 0.390381f, 0.409668f, - 0.429688f, 0.449707f, 0.468994f, 0.487549f, 0.506836f, 0.526367f, 0.545898f, 0.562988f, 0.581543f, 0.599121f, 0.616699f, 0.634766f, - 0.651367f, 0.667480f, 0.683594f, 0.699707f, 0.714844f, 0.730957f, 0.744141f, 0.758789f, 0.772949f, 0.785645f, 0.799316f, 0.812500f, - 0.823730f, 0.836914f, 0.847168f, 0.859375f, 0.869629f, 0.880371f, 0.942383f, 0.941406f, 0.937500f, 0.934570f, 0.931152f, 0.927734f, - 0.003613f, 0.011391f, 0.018875f, 0.027679f, 0.036133f, 0.045624f, 0.055420f, 0.065491f, 0.076416f, 0.088135f, 0.099487f, 0.112427f, - 0.126099f, 0.139771f, 0.154419f, 0.169556f, 0.184814f, 0.201050f, 0.218262f, 0.234985f, 0.252441f, 0.271484f, 0.289062f, 0.308594f, - 0.326660f, 0.346924f, 0.365234f, 0.384521f, 0.404541f, 0.424072f, 0.443359f, 0.463135f, 0.482422f, 0.501953f, 0.521484f, 0.539551f, - 0.558594f, 0.576660f, 0.595215f, 0.612793f, 0.629883f, 0.647949f, 0.663574f, 0.679688f, 0.695801f, 0.711426f, 0.727539f, 0.741699f, - 0.757324f, 0.770996f, 0.785156f, 0.798828f, 0.811035f, 0.823730f, 0.835449f, 0.848145f, 0.858887f, 0.870605f, 0.937988f, 0.937988f, - 0.934570f, 0.931152f, 0.927734f, 0.924805f, 0.003248f, 0.010185f, 0.017395f, 0.025055f, 0.032928f, 0.041321f, 0.049957f, 0.059265f, - 0.069092f, 0.079407f, 0.090820f, 0.101746f, 0.113770f, 0.126953f, 0.140381f, 0.154053f, 0.168701f, 0.184082f, 0.199951f, 0.216431f, - 0.232788f, 0.250000f, 0.267578f, 0.285645f, 0.303955f, 0.322998f, 0.341553f, 0.361084f, 0.379150f, 0.399414f, 0.418701f, 0.437988f, - 0.457275f, 0.477051f, 0.496094f, 0.515137f, 0.534180f, 0.553223f, 0.571289f, 0.589844f, 0.606934f, 0.625488f, 0.643066f, 0.659668f, - 0.676758f, 0.692871f, 0.708984f, 0.725098f, 0.740234f, 0.753906f, 0.769043f, 0.782227f, 0.796387f, 0.810059f, 0.822266f, 0.834961f, - 0.847168f, 0.859375f, 0.933594f, 0.933594f, 0.931152f, 0.927246f, 0.923828f, 0.921387f, 0.002914f, 0.009361f, 0.015793f, 0.022659f, - 0.029938f, 0.037354f, 0.045593f, 0.053406f, 0.062988f, 0.072083f, 0.081665f, 0.092712f, 0.103943f, 0.114990f, 0.128174f, 0.140503f, - 0.153809f, 0.167725f, 0.182251f, 0.198242f, 0.213623f, 0.230225f, 0.246826f, 0.263672f, 0.281494f, 0.300049f, 0.318604f, 0.337158f, - 0.356201f, 0.374756f, 0.394531f, 0.413574f, 0.433105f, 0.451904f, 0.471680f, 0.491211f, 0.509766f, 0.529297f, 0.547852f, 0.566895f, - 0.584961f, 0.603516f, 0.621094f, 0.638672f, 0.656738f, 0.673340f, 0.689453f, 0.706543f, 0.722656f, 0.737793f, 0.752930f, 0.767578f, - 0.781250f, 0.796875f, 0.809082f, 0.823242f, 0.835449f, 0.847656f, 0.929199f, 0.929199f, 0.927246f, 0.923828f, 0.920898f, 0.917969f, - 0.002766f, 0.008736f, 0.014442f, 0.020691f, 0.027054f, 0.033905f, 0.040924f, 0.048645f, 0.056976f, 0.065674f, 0.074951f, 0.084229f, - 0.094116f, 0.105225f, 0.116333f, 0.127563f, 0.139771f, 0.153564f, 0.166626f, 0.181030f, 0.196411f, 0.211182f, 0.227417f, 0.243896f, - 0.260742f, 0.277588f, 0.295898f, 0.314209f, 0.332031f, 0.351562f, 0.370117f, 0.389404f, 0.408203f, 0.428223f, 0.447266f, 0.467041f, - 0.486084f, 0.505859f, 0.524414f, 0.543945f, 0.562012f, 0.581543f, 0.600098f, 0.617676f, 0.636230f, 0.654297f, 0.670898f, 0.687500f, - 0.704102f, 0.720703f, 0.736816f, 0.751465f, 0.766113f, 0.781738f, 0.796387f, 0.809082f, 0.823242f, 0.835938f, 0.923828f, 0.925781f, - 0.922852f, 0.920410f, 0.916992f, 0.914551f, 0.002483f, 0.007599f, 0.013161f, 0.018555f, 0.024551f, 0.030670f, 0.037476f, 0.044464f, - 0.051636f, 0.059174f, 0.067688f, 0.075928f, 0.085693f, 0.095093f, 0.105591f, 0.116394f, 0.127441f, 0.139648f, 0.152344f, 0.165527f, - 0.179565f, 0.193970f, 0.208862f, 0.224487f, 0.240356f, 0.256836f, 0.274658f, 0.291748f, 0.310059f, 0.328369f, 0.346680f, 0.365234f, - 0.384521f, 0.404297f, 0.423340f, 0.442139f, 0.462646f, 0.481445f, 0.500977f, 0.520020f, 0.540039f, 0.559082f, 0.577148f, 0.596191f, - 0.614746f, 0.632812f, 0.651367f, 0.669434f, 0.685059f, 0.702637f, 0.718750f, 0.734375f, 0.750488f, 0.766113f, 0.780762f, 0.795410f, - 0.811035f, 0.823730f, 0.919434f, 0.920898f, 0.918457f, 0.916016f, 0.913086f, 0.910645f, 0.002457f, 0.007114f, 0.011757f, 0.016708f, - 0.022125f, 0.027786f, 0.033752f, 0.040375f, 0.046661f, 0.053864f, 0.061584f, 0.069336f, 0.077515f, 0.086365f, 0.095947f, 0.105896f, - 0.116638f, 0.127075f, 0.138916f, 0.151245f, 0.164062f, 0.177490f, 0.191528f, 0.206177f, 0.221802f, 0.237427f, 0.253906f, 0.270508f, - 0.287842f, 0.305664f, 0.323730f, 0.342285f, 0.361572f, 0.379639f, 0.399170f, 0.418457f, 0.438965f, 0.458252f, 0.477295f, 0.497559f, - 0.516113f, 0.536133f, 0.554688f, 0.574707f, 0.593750f, 0.612305f, 0.630859f, 0.648926f, 0.666504f, 0.684082f, 0.701660f, 0.717773f, - 0.734863f, 0.751465f, 0.766602f, 0.781738f, 0.797852f, 0.812012f, 0.913086f, 0.916016f, 0.913574f, 0.911621f, 0.909180f, 0.906250f, - 0.002132f, 0.006493f, 0.010750f, 0.015717f, 0.020569f, 0.025604f, 0.030823f, 0.036682f, 0.043060f, 0.049286f, 0.055786f, 0.062988f, - 0.070557f, 0.078918f, 0.086914f, 0.096191f, 0.105530f, 0.116028f, 0.126953f, 0.138306f, 0.149902f, 0.162231f, 0.175537f, 0.189453f, - 0.203491f, 0.218628f, 0.234131f, 0.250000f, 0.266602f, 0.284180f, 0.301514f, 0.319580f, 0.338135f, 0.356689f, 0.375977f, 0.395020f, - 0.413818f, 0.434082f, 0.452881f, 0.473145f, 0.492920f, 0.512207f, 0.532227f, 0.552246f, 0.570801f, 0.591309f, 0.609375f, 0.629395f, - 0.646973f, 0.665527f, 0.683105f, 0.700684f, 0.717773f, 0.734863f, 0.751465f, 0.767578f, 0.782715f, 0.799316f, 0.908203f, 0.911133f, - 0.909180f, 0.907227f, 0.904785f, 0.902832f, 0.001891f, 0.006008f, 0.010025f, 0.014122f, 0.018616f, 0.023239f, 0.028442f, 0.033691f, - 0.038757f, 0.044556f, 0.050964f, 0.057465f, 0.064087f, 0.071167f, 0.079224f, 0.087463f, 0.096008f, 0.105591f, 0.115356f, 0.125488f, - 0.136597f, 0.148193f, 0.160278f, 0.173218f, 0.186768f, 0.200684f, 0.215332f, 0.231323f, 0.246338f, 0.262939f, 0.279785f, 0.297607f, - 0.314941f, 0.333984f, 0.353271f, 0.371094f, 0.391357f, 0.409668f, 0.430420f, 0.448975f, 0.469482f, 0.489746f, 0.509277f, 0.528809f, - 0.549316f, 0.568848f, 0.588379f, 0.607910f, 0.626953f, 0.645996f, 0.664062f, 0.683105f, 0.700684f, 0.718262f, 0.735840f, 0.751953f, - 0.768555f, 0.785645f, 0.902344f, 0.906250f, 0.904785f, 0.902832f, 0.900391f, 0.898438f, 0.001732f, 0.005573f, 0.009193f, 0.012932f, - 0.017075f, 0.021286f, 0.025406f, 0.030289f, 0.035675f, 0.040344f, 0.046326f, 0.052032f, 0.058411f, 0.064575f, 0.072205f, 0.079834f, - 0.087708f, 0.095947f, 0.104797f, 0.114380f, 0.124451f, 0.134888f, 0.146606f, 0.158691f, 0.170776f, 0.184082f, 0.197510f, 0.212524f, - 0.227417f, 0.243164f, 0.259521f, 0.276367f, 0.293457f, 0.311768f, 0.329590f, 0.348633f, 0.367188f, 0.386230f, 0.406006f, 0.425781f, - 0.446533f, 0.465332f, 0.486084f, 0.505859f, 0.526367f, 0.545898f, 0.567383f, 0.585938f, 0.605957f, 0.625977f, 0.645508f, 0.664551f, - 0.683105f, 0.701172f, 0.718750f, 0.736816f, 0.754395f, 0.770508f, 0.896484f, 0.900879f, 0.900391f, 0.897949f, 0.895996f, 0.894043f, - 0.001713f, 0.004684f, 0.008339f, 0.011818f, 0.015450f, 0.019409f, 0.023605f, 0.027832f, 0.032349f, 0.036865f, 0.041809f, 0.047302f, - 0.052673f, 0.058838f, 0.065613f, 0.072083f, 0.079407f, 0.087280f, 0.095337f, 0.104126f, 0.113037f, 0.122986f, 0.133667f, 0.144897f, - 0.156250f, 0.168579f, 0.181396f, 0.195068f, 0.208984f, 0.224243f, 0.239624f, 0.255859f, 0.272461f, 0.289551f, 0.307617f, 0.326172f, - 0.344482f, 0.363770f, 0.383301f, 0.402588f, 0.422607f, 0.443115f, 0.463135f, 0.483154f, 0.503418f, 0.523926f, 0.544434f, 0.564941f, - 0.584473f, 0.604980f, 0.624512f, 0.645508f, 0.664551f, 0.683594f, 0.701660f, 0.721191f, 0.738281f, 0.755859f, 0.889648f, 0.895996f, - 0.895020f, 0.893066f, 0.891602f, 0.889160f, 0.001545f, 0.004745f, 0.007710f, 0.010979f, 0.014450f, 0.017807f, 0.021469f, 0.025238f, - 0.029282f, 0.033661f, 0.038177f, 0.043182f, 0.048157f, 0.053436f, 0.059326f, 0.065674f, 0.072205f, 0.078857f, 0.086548f, 0.094604f, - 0.102905f, 0.111816f, 0.121521f, 0.131592f, 0.142334f, 0.153442f, 0.165894f, 0.178345f, 0.192139f, 0.205933f, 0.220703f, 0.236084f, - 0.251709f, 0.268555f, 0.285645f, 0.303467f, 0.321777f, 0.340332f, 0.359619f, 0.379150f, 0.398682f, 0.419189f, 0.440430f, 0.460449f, - 0.480957f, 0.501465f, 0.521973f, 0.543457f, 0.563477f, 0.584961f, 0.604492f, 0.625488f, 0.645508f, 0.665039f, 0.684082f, 0.704102f, - 0.723145f, 0.741211f, 0.885254f, 0.890137f, 0.889160f, 0.887695f, 0.886719f, 0.884277f, 0.001487f, 0.004356f, 0.006828f, 0.010162f, - 0.012993f, 0.016022f, 0.019333f, 0.023087f, 0.026886f, 0.030518f, 0.034668f, 0.039062f, 0.043671f, 0.048370f, 0.053741f, 0.059326f, - 0.065308f, 0.071655f, 0.078125f, 0.085693f, 0.093323f, 0.101807f, 0.110657f, 0.119507f, 0.129517f, 0.140137f, 0.151367f, 0.163330f, - 0.175781f, 0.188843f, 0.202759f, 0.217163f, 0.232666f, 0.248413f, 0.264893f, 0.282227f, 0.299805f, 0.318115f, 0.336914f, 0.356445f, - 0.375488f, 0.395996f, 0.416504f, 0.436279f, 0.457520f, 0.479004f, 0.499023f, 0.520508f, 0.541504f, 0.562988f, 0.583984f, 0.604492f, - 0.625488f, 0.646973f, 0.666504f, 0.687012f, 0.706055f, 0.725098f, 0.877441f, 0.885254f, 0.884766f, 0.882324f, 0.881836f, 0.880371f, - 0.001443f, 0.003807f, 0.006336f, 0.009171f, 0.011909f, 0.015007f, 0.018097f, 0.020905f, 0.024384f, 0.027893f, 0.031555f, 0.035370f, - 0.039581f, 0.044128f, 0.048889f, 0.053894f, 0.059174f, 0.065125f, 0.070984f, 0.077698f, 0.084656f, 0.091919f, 0.100037f, 0.108093f, - 0.117493f, 0.127563f, 0.137817f, 0.148438f, 0.159912f, 0.172485f, 0.185547f, 0.199585f, 0.213867f, 0.229248f, 0.244995f, 0.261230f, - 0.278564f, 0.296387f, 0.314697f, 0.333252f, 0.353271f, 0.372314f, 0.393311f, 0.413330f, 0.433594f, 0.455078f, 0.476318f, 0.497314f, - 0.519531f, 0.540527f, 0.562500f, 0.583496f, 0.605469f, 0.626953f, 0.648438f, 0.669434f, 0.689941f, 0.709961f, 0.870605f, 0.878906f, - 0.878418f, 0.877441f, 0.875488f, 0.873535f, 0.001302f, 0.003712f, 0.005859f, 0.008286f, 0.010910f, 0.013779f, 0.016235f, 0.019135f, - 0.021912f, 0.025345f, 0.029022f, 0.032166f, 0.036011f, 0.040131f, 0.044128f, 0.048492f, 0.053528f, 0.058533f, 0.064209f, 0.070129f, - 0.076355f, 0.083191f, 0.090149f, 0.098328f, 0.106628f, 0.115662f, 0.124817f, 0.134766f, 0.145630f, 0.157104f, 0.169678f, 0.182495f, - 0.195801f, 0.210205f, 0.225342f, 0.241455f, 0.257812f, 0.274902f, 0.292725f, 0.311035f, 0.330322f, 0.349365f, 0.369873f, 0.390137f, - 0.411133f, 0.432373f, 0.453369f, 0.474609f, 0.496826f, 0.519043f, 0.541504f, 0.563477f, 0.585449f, 0.606445f, 0.629395f, 0.650391f, - 0.672363f, 0.693848f, 0.863281f, 0.872070f, 0.872070f, 0.871582f, 0.869629f, 0.868164f, 0.001170f, 0.003151f, 0.005295f, 0.007812f, - 0.010132f, 0.012466f, 0.015076f, 0.017517f, 0.019943f, 0.023178f, 0.026443f, 0.029312f, 0.032471f, 0.036041f, 0.039978f, 0.044037f, - 0.048828f, 0.053070f, 0.057983f, 0.063232f, 0.068909f, 0.075378f, 0.081909f, 0.088745f, 0.096375f, 0.104309f, 0.113281f, 0.122437f, - 0.132202f, 0.142944f, 0.154419f, 0.166138f, 0.178955f, 0.192505f, 0.206421f, 0.221558f, 0.237183f, 0.253906f, 0.270996f, 0.289062f, - 0.308105f, 0.326904f, 0.346924f, 0.366455f, 0.387695f, 0.408936f, 0.430176f, 0.451416f, 0.474365f, 0.496582f, 0.518066f, 0.541016f, - 0.563965f, 0.585938f, 0.608887f, 0.630859f, 0.654297f, 0.675781f, 0.856934f, 0.865234f, 0.866211f, 0.864746f, 0.863281f, 0.862793f, - 0.001049f, 0.003254f, 0.005234f, 0.007263f, 0.009270f, 0.011307f, 0.013596f, 0.015869f, 0.018555f, 0.020844f, 0.023972f, 0.026566f, - 0.029739f, 0.033020f, 0.036316f, 0.039856f, 0.044159f, 0.048096f, 0.052277f, 0.057281f, 0.062439f, 0.067871f, 0.073792f, 0.079956f, - 0.087158f, 0.094055f, 0.102234f, 0.110535f, 0.119934f, 0.129517f, 0.140259f, 0.151245f, 0.162842f, 0.175537f, 0.189209f, 0.203369f, - 0.218262f, 0.233643f, 0.250488f, 0.268066f, 0.285645f, 0.304443f, 0.324219f, 0.343750f, 0.364014f, 0.385254f, 0.406494f, 0.428223f, - 0.450928f, 0.472656f, 0.495605f, 0.519043f, 0.541504f, 0.565918f, 0.588379f, 0.612305f, 0.635742f, 0.659180f, 0.850098f, 0.859863f, - 0.859863f, 0.858398f, 0.857910f, 0.856934f, 0.000914f, 0.002861f, 0.004742f, 0.006569f, 0.008415f, 0.010521f, 0.012596f, 0.014648f, - 0.016708f, 0.019089f, 0.021515f, 0.023865f, 0.026688f, 0.029572f, 0.032928f, 0.036377f, 0.039337f, 0.043365f, 0.047333f, 0.051544f, - 0.056305f, 0.061066f, 0.066406f, 0.071960f, 0.078247f, 0.084961f, 0.092163f, 0.099426f, 0.108215f, 0.116943f, 0.126831f, 0.136719f, - 0.148193f, 0.159302f, 0.171875f, 0.185669f, 0.199585f, 0.214478f, 0.230469f, 0.247070f, 0.264160f, 0.282471f, 0.301270f, 0.321045f, - 0.341553f, 0.362061f, 0.383545f, 0.404785f, 0.427734f, 0.449951f, 0.473389f, 0.496582f, 0.520020f, 0.543457f, 0.568359f, 0.592285f, - 0.615723f, 0.639648f, 0.840820f, 0.851074f, 0.853027f, 0.853027f, 0.852051f, 0.850586f, 0.000679f, 0.002518f, 0.004173f, 0.006149f, - 0.008064f, 0.009369f, 0.011551f, 0.013222f, 0.015175f, 0.017212f, 0.019592f, 0.021835f, 0.024048f, 0.026932f, 0.029846f, 0.032623f, - 0.035675f, 0.038940f, 0.042542f, 0.046295f, 0.050354f, 0.055054f, 0.059601f, 0.064880f, 0.070190f, 0.076233f, 0.082703f, 0.089661f, - 0.097229f, 0.105103f, 0.113831f, 0.123474f, 0.133423f, 0.144409f, 0.156006f, 0.168335f, 0.182495f, 0.196411f, 0.211304f, 0.227295f, - 0.243530f, 0.260986f, 0.279053f, 0.298828f, 0.318359f, 0.339111f, 0.360107f, 0.381348f, 0.403809f, 0.427490f, 0.449463f, 0.473633f, - 0.497803f, 0.521484f, 0.546875f, 0.570801f, 0.595703f, 0.620605f, 0.833008f, 0.845215f, 0.845703f, 0.845703f, 0.845215f, 0.843750f, - 0.000719f, 0.002470f, 0.003975f, 0.005337f, 0.007275f, 0.008713f, 0.010376f, 0.012032f, 0.013580f, 0.015793f, 0.017609f, 0.019501f, - 0.021530f, 0.024277f, 0.026657f, 0.029312f, 0.031982f, 0.035187f, 0.038086f, 0.041565f, 0.045288f, 0.049103f, 0.053436f, 0.058136f, - 0.062927f, 0.068054f, 0.073853f, 0.080383f, 0.087341f, 0.094666f, 0.102173f, 0.111084f, 0.120300f, 0.130859f, 0.141235f, 0.152954f, - 0.164429f, 0.178223f, 0.192749f, 0.207642f, 0.223145f, 0.239868f, 0.258301f, 0.276611f, 0.295654f, 0.316162f, 0.337402f, 0.358643f, - 0.380859f, 0.403320f, 0.427002f, 0.450684f, 0.474609f, 0.499756f, 0.523926f, 0.550781f, 0.575195f, 0.600586f, 0.824707f, 0.836914f, - 0.838379f, 0.838867f, 0.837402f, 0.837402f, 0.000683f, 0.002361f, 0.003649f, 0.005116f, 0.006416f, 0.008202f, 0.009460f, 0.010941f, - 0.012817f, 0.014099f, 0.015839f, 0.017593f, 0.019867f, 0.021988f, 0.023926f, 0.026276f, 0.028824f, 0.031311f, 0.034363f, 0.036957f, - 0.040375f, 0.043823f, 0.047546f, 0.051758f, 0.056183f, 0.061249f, 0.066162f, 0.071777f, 0.077942f, 0.084534f, 0.091553f, 0.099487f, - 0.107910f, 0.116882f, 0.127075f, 0.137451f, 0.148804f, 0.161499f, 0.174805f, 0.188721f, 0.203735f, 0.220093f, 0.237427f, 0.254639f, - 0.273926f, 0.293457f, 0.313965f, 0.334961f, 0.357666f, 0.379883f, 0.403076f, 0.427002f, 0.451660f, 0.476807f, 0.501953f, 0.527344f, - 0.553711f, 0.581055f, 0.815918f, 0.829102f, 0.831055f, 0.831055f, 0.831055f, 0.830566f, 0.000607f, 0.001863f, 0.003416f, 0.004528f, - 0.005943f, 0.007191f, 0.008781f, 0.009964f, 0.011337f, 0.012939f, 0.014458f, 0.015808f, 0.018051f, 0.019394f, 0.021332f, 0.023529f, - 0.025803f, 0.028168f, 0.030502f, 0.033020f, 0.036072f, 0.039032f, 0.042419f, 0.046082f, 0.049927f, 0.054321f, 0.058411f, 0.063538f, - 0.069336f, 0.075684f, 0.081787f, 0.088562f, 0.096436f, 0.104553f, 0.113281f, 0.123596f, 0.133667f, 0.145386f, 0.157471f, 0.171021f, - 0.185547f, 0.200562f, 0.216553f, 0.234619f, 0.251709f, 0.271240f, 0.291504f, 0.312012f, 0.333496f, 0.355957f, 0.379395f, 0.403076f, - 0.428223f, 0.453857f, 0.479492f, 0.506348f, 0.532715f, 0.560059f, 0.805664f, 0.820801f, 0.823730f, 0.822754f, 0.822754f, 0.822266f, - 0.000593f, 0.001862f, 0.002966f, 0.004341f, 0.005600f, 0.006516f, 0.007626f, 0.008995f, 0.010223f, 0.011292f, 0.012848f, 0.014427f, - 0.016098f, 0.017532f, 0.019165f, 0.021027f, 0.022842f, 0.024918f, 0.027115f, 0.029739f, 0.032013f, 0.034637f, 0.037506f, 0.040955f, - 0.044220f, 0.048065f, 0.051941f, 0.056305f, 0.061768f, 0.066528f, 0.072327f, 0.078979f, 0.085571f, 0.092834f, 0.101135f, 0.110229f, - 0.119690f, 0.130127f, 0.141602f, 0.153564f, 0.167114f, 0.181763f, 0.196899f, 0.213623f, 0.230957f, 0.249268f, 0.268555f, 0.289062f, - 0.310059f, 0.333252f, 0.355957f, 0.379883f, 0.404541f, 0.430176f, 0.456055f, 0.483887f, 0.510254f, 0.539062f, 0.797852f, 0.812988f, - 0.814941f, 0.815430f, 0.815918f, 0.814453f, 0.000556f, 0.001811f, 0.002998f, 0.003815f, 0.004658f, 0.005905f, 0.007099f, 0.008232f, - 0.009239f, 0.010483f, 0.011559f, 0.013016f, 0.014305f, 0.015671f, 0.017090f, 0.018646f, 0.020370f, 0.022369f, 0.024124f, 0.026062f, - 0.028458f, 0.030624f, 0.033264f, 0.036041f, 0.039307f, 0.042053f, 0.045807f, 0.049530f, 0.054016f, 0.058441f, 0.063904f, 0.069641f, - 0.075745f, 0.082520f, 0.089539f, 0.097717f, 0.106750f, 0.116150f, 0.126587f, 0.137817f, 0.150024f, 0.163452f, 0.177490f, 0.193359f, - 0.209717f, 0.227539f, 0.246704f, 0.266602f, 0.287598f, 0.309326f, 0.332520f, 0.355713f, 0.380371f, 0.406494f, 0.432861f, 0.459961f, - 0.488525f, 0.517090f, 0.787598f, 0.804199f, 0.806641f, 0.807617f, 0.807617f, 0.807129f, 0.000507f, 0.001697f, 0.002468f, 0.003351f, - 0.004425f, 0.005486f, 0.006325f, 0.007412f, 0.008156f, 0.009270f, 0.010239f, 0.011497f, 0.012520f, 0.013954f, 0.015182f, 0.016617f, - 0.018036f, 0.019714f, 0.021362f, 0.022934f, 0.024704f, 0.026886f, 0.029419f, 0.031525f, 0.034302f, 0.037292f, 0.040558f, 0.043701f, - 0.047577f, 0.051849f, 0.056183f, 0.061249f, 0.066467f, 0.072876f, 0.078918f, 0.086548f, 0.094116f, 0.102844f, 0.112427f, 0.122620f, - 0.133667f, 0.146362f, 0.159668f, 0.174438f, 0.190063f, 0.207153f, 0.225098f, 0.244263f, 0.264648f, 0.286377f, 0.308350f, 0.332275f, - 0.357178f, 0.382080f, 0.408936f, 0.436035f, 0.465820f, 0.495361f, 0.776855f, 0.794922f, 0.797852f, 0.799316f, 0.798828f, 0.798340f, - 0.000366f, 0.001644f, 0.002289f, 0.003046f, 0.004082f, 0.005032f, 0.005550f, 0.006599f, 0.007389f, 0.008369f, 0.009201f, 0.010315f, - 0.011276f, 0.012405f, 0.013466f, 0.014587f, 0.015991f, 0.017303f, 0.018692f, 0.020081f, 0.021851f, 0.023865f, 0.025726f, 0.027771f, - 0.030136f, 0.032532f, 0.035309f, 0.038422f, 0.041626f, 0.045044f, 0.048767f, 0.053375f, 0.057861f, 0.063477f, 0.069031f, 0.075684f, - 0.082336f, 0.090515f, 0.099182f, 0.107849f, 0.118958f, 0.130005f, 0.142212f, 0.156128f, 0.170898f, 0.186890f, 0.203857f, 0.222534f, - 0.241821f, 0.263428f, 0.285156f, 0.308105f, 0.332275f, 0.359131f, 0.385010f, 0.413086f, 0.441895f, 0.472168f, 0.767090f, 0.785645f, - 0.789062f, 0.789551f, 0.790527f, 0.789551f, 0.000340f, 0.001434f, 0.002129f, 0.002827f, 0.003696f, 0.004463f, 0.005112f, 0.005730f, - 0.006836f, 0.007465f, 0.008217f, 0.008972f, 0.009972f, 0.010887f, 0.011948f, 0.012794f, 0.013947f, 0.015030f, 0.016266f, 0.017670f, - 0.019165f, 0.020813f, 0.022415f, 0.024216f, 0.026047f, 0.028336f, 0.030594f, 0.033142f, 0.035858f, 0.039154f, 0.042328f, 0.046265f, - 0.050537f, 0.055237f, 0.059998f, 0.065918f, 0.072083f, 0.078918f, 0.086243f, 0.094788f, 0.104309f, 0.114807f, 0.125854f, 0.138672f, - 0.152222f, 0.166992f, 0.183716f, 0.200928f, 0.220459f, 0.240112f, 0.261719f, 0.284668f, 0.308838f, 0.333740f, 0.360840f, 0.388672f, - 0.418213f, 0.448730f, 0.756348f, 0.775391f, 0.779297f, 0.780273f, 0.781250f, 0.780273f, 0.000511f, 0.001174f, 0.002163f, 0.002554f, - 0.003391f, 0.003990f, 0.004547f, 0.005211f, 0.005993f, 0.006653f, 0.007462f, 0.007942f, 0.008781f, 0.009476f, 0.010323f, 0.011444f, - 0.012207f, 0.013062f, 0.014336f, 0.015427f, 0.016464f, 0.017929f, 0.019287f, 0.021164f, 0.022461f, 0.024567f, 0.026474f, 0.028885f, - 0.031067f, 0.033630f, 0.036835f, 0.040070f, 0.043488f, 0.047394f, 0.051910f, 0.056732f, 0.062378f, 0.068481f, 0.075073f, 0.082764f, - 0.090881f, 0.100403f, 0.110779f, 0.122009f, 0.134399f, 0.148560f, 0.163940f, 0.180298f, 0.198120f, 0.218140f, 0.239014f, 0.260986f, - 0.285645f, 0.310059f, 0.336182f, 0.364502f, 0.393311f, 0.424316f, 0.744629f, 0.765137f, 0.769531f, 0.770508f, 0.771484f, 0.771484f, - 0.000374f, 0.000983f, 0.001696f, 0.002279f, 0.002924f, 0.003571f, 0.004139f, 0.004742f, 0.005390f, 0.005817f, 0.006371f, 0.006981f, - 0.007648f, 0.008354f, 0.009041f, 0.009727f, 0.010536f, 0.011375f, 0.012398f, 0.013535f, 0.014389f, 0.015541f, 0.016602f, 0.018112f, - 0.019516f, 0.020996f, 0.022644f, 0.024582f, 0.026627f, 0.028748f, 0.031586f, 0.034210f, 0.037415f, 0.040588f, 0.044464f, 0.048676f, - 0.053192f, 0.058472f, 0.064880f, 0.070984f, 0.078674f, 0.086914f, 0.096191f, 0.106445f, 0.117859f, 0.130859f, 0.144775f, 0.160522f, - 0.177490f, 0.196411f, 0.215942f, 0.237793f, 0.261475f, 0.285645f, 0.312012f, 0.339111f, 0.368652f, 0.400391f, 0.733887f, 0.755371f, - 0.759766f, 0.760742f, 0.761719f, 0.761719f, 0.000298f, 0.000924f, 0.001542f, 0.002125f, 0.002439f, 0.003153f, 0.003502f, 0.004196f, - 0.004585f, 0.005039f, 0.005531f, 0.006054f, 0.006531f, 0.007217f, 0.007935f, 0.008362f, 0.009171f, 0.009773f, 0.010704f, 0.011505f, - 0.012207f, 0.013321f, 0.014381f, 0.015556f, 0.016586f, 0.017792f, 0.019608f, 0.020844f, 0.022583f, 0.024536f, 0.026566f, 0.028885f, - 0.031494f, 0.034332f, 0.037689f, 0.041260f, 0.045258f, 0.049927f, 0.054901f, 0.060699f, 0.067322f, 0.074768f, 0.082764f, 0.091675f, - 0.102173f, 0.113831f, 0.126831f, 0.141113f, 0.157104f, 0.175049f, 0.194580f, 0.215210f, 0.237305f, 0.261475f, 0.287598f, 0.314697f, - 0.344482f, 0.375977f, 0.721680f, 0.744629f, 0.749512f, 0.751465f, 0.751465f, 0.751465f, 0.000275f, 0.001002f, 0.001335f, 0.001704f, - 0.002264f, 0.002790f, 0.003202f, 0.003555f, 0.004017f, 0.004368f, 0.004894f, 0.005318f, 0.005592f, 0.006241f, 0.006611f, 0.007317f, - 0.007851f, 0.008560f, 0.009071f, 0.009758f, 0.010429f, 0.011375f, 0.011986f, 0.013130f, 0.013916f, 0.015205f, 0.016403f, 0.017624f, - 0.019119f, 0.020660f, 0.022278f, 0.024582f, 0.026474f, 0.029007f, 0.031738f, 0.034668f, 0.038025f, 0.041962f, 0.046417f, 0.051270f, - 0.056915f, 0.063110f, 0.070312f, 0.078369f, 0.087769f, 0.098145f, 0.109863f, 0.123352f, 0.137451f, 0.154785f, 0.172363f, 0.192261f, - 0.214233f, 0.237793f, 0.262939f, 0.289795f, 0.319336f, 0.351074f, 0.708984f, 0.733398f, 0.738281f, 0.740234f, 0.741211f, 0.740723f, - 0.000334f, 0.000805f, 0.001231f, 0.001640f, 0.002033f, 0.002277f, 0.002871f, 0.003115f, 0.003481f, 0.003895f, 0.004147f, 0.004379f, - 0.004841f, 0.005306f, 0.005653f, 0.006241f, 0.006630f, 0.007217f, 0.007721f, 0.008133f, 0.008842f, 0.009529f, 0.010010f, 0.011017f, - 0.011780f, 0.012733f, 0.013626f, 0.014824f, 0.015656f, 0.017212f, 0.018829f, 0.020248f, 0.021973f, 0.023926f, 0.026306f, 0.028900f, - 0.031616f, 0.034973f, 0.038605f, 0.042816f, 0.047424f, 0.052765f, 0.059021f, 0.066162f, 0.074219f, 0.083435f, 0.093994f, 0.105835f, - 0.119385f, 0.134277f, 0.151611f, 0.170532f, 0.191284f, 0.214233f, 0.239014f, 0.265381f, 0.293701f, 0.325684f, 0.696289f, 0.722168f, - 0.727051f, 0.729004f, 0.729980f, 0.729980f, 0.000215f, 0.000635f, 0.001184f, 0.001348f, 0.001758f, 0.002171f, 0.002249f, 0.002596f, - 0.003004f, 0.003325f, 0.003487f, 0.003906f, 0.004108f, 0.004494f, 0.004955f, 0.005241f, 0.005726f, 0.006134f, 0.006485f, 0.006916f, - 0.007496f, 0.008072f, 0.008629f, 0.009071f, 0.009857f, 0.010651f, 0.011375f, 0.012283f, 0.013283f, 0.014320f, 0.015350f, 0.016739f, - 0.017975f, 0.019852f, 0.021454f, 0.023712f, 0.025925f, 0.028717f, 0.031769f, 0.035217f, 0.038910f, 0.043396f, 0.048767f, 0.054901f, - 0.061707f, 0.069824f, 0.078613f, 0.089783f, 0.101685f, 0.115479f, 0.131104f, 0.149292f, 0.168823f, 0.190674f, 0.214844f, 0.241211f, - 0.269775f, 0.299561f, 0.683594f, 0.709961f, 0.715332f, 0.717773f, 0.718262f, 0.718750f, 0.000199f, 0.000826f, 0.001047f, 0.001288f, - 0.001600f, 0.001857f, 0.002014f, 0.002329f, 0.002535f, 0.002785f, 0.003027f, 0.003210f, 0.003580f, 0.003788f, 0.004025f, 0.004444f, - 0.004791f, 0.004974f, 0.005417f, 0.005909f, 0.006248f, 0.006672f, 0.007118f, 0.007664f, 0.008232f, 0.008759f, 0.009598f, 0.009964f, - 0.010956f, 0.011650f, 0.012665f, 0.013702f, 0.014832f, 0.016144f, 0.017654f, 0.019211f, 0.021118f, 0.023102f, 0.025681f, 0.028320f, - 0.031708f, 0.035370f, 0.039673f, 0.044739f, 0.050812f, 0.057800f, 0.065796f, 0.074768f, 0.085510f, 0.097961f, 0.112000f, 0.128662f, - 0.147217f, 0.168213f, 0.190796f, 0.216309f, 0.244751f, 0.274902f, 0.669922f, 0.698730f, 0.703613f, 0.705566f, 0.707031f, 0.707031f, - 0.000212f, 0.000458f, 0.000959f, 0.001192f, 0.001321f, 0.001500f, 0.001823f, 0.002064f, 0.002073f, 0.002293f, 0.002512f, 0.002768f, - 0.002981f, 0.003138f, 0.003431f, 0.003765f, 0.003918f, 0.004238f, 0.004482f, 0.004814f, 0.005245f, 0.005531f, 0.005871f, 0.006214f, - 0.006660f, 0.007236f, 0.007664f, 0.008331f, 0.008812f, 0.009628f, 0.010277f, 0.010979f, 0.012016f, 0.012978f, 0.014084f, 0.015495f, - 0.016937f, 0.018494f, 0.020386f, 0.022659f, 0.025208f, 0.028183f, 0.031860f, 0.036072f, 0.040894f, 0.046326f, 0.053009f, 0.061127f, - 0.070374f, 0.081238f, 0.094238f, 0.109314f, 0.126343f, 0.145874f, 0.167847f, 0.192505f, 0.219604f, 0.249634f, 0.656738f, 0.686035f, - 0.690430f, 0.694336f, 0.694336f, 0.696777f, 0.000151f, 0.000529f, 0.000692f, 0.000883f, 0.001153f, 0.001337f, 0.001380f, 0.001520f, - 0.001753f, 0.001886f, 0.002077f, 0.002243f, 0.002386f, 0.002556f, 0.002832f, 0.003029f, 0.003277f, 0.003447f, 0.003683f, 0.003952f, - 0.004135f, 0.004578f, 0.004833f, 0.005222f, 0.005417f, 0.005810f, 0.006355f, 0.006718f, 0.007076f, 0.007652f, 0.008293f, 0.008980f, - 0.009674f, 0.010422f, 0.011276f, 0.012283f, 0.013443f, 0.014664f, 0.016113f, 0.017853f, 0.019897f, 0.022156f, 0.024826f, 0.028275f, - 0.032135f, 0.036865f, 0.042389f, 0.049011f, 0.056732f, 0.066223f, 0.077576f, 0.090820f, 0.106384f, 0.124512f, 0.145264f, 0.169067f, - 0.195190f, 0.224976f, 0.642578f, 0.671387f, 0.679688f, 0.682617f, 0.682617f, 0.683594f, 0.000127f, 0.000376f, 0.000600f, 0.000721f, - 0.000901f, 0.001066f, 0.001180f, 0.001332f, 0.001455f, 0.001549f, 0.001709f, 0.001831f, 0.001947f, 0.002150f, 0.002245f, 0.002443f, - 0.002682f, 0.002844f, 0.002989f, 0.003201f, 0.003403f, 0.003683f, 0.003883f, 0.004097f, 0.004372f, 0.004665f, 0.004963f, 0.005348f, - 0.005711f, 0.006165f, 0.006672f, 0.007004f, 0.007610f, 0.008278f, 0.008873f, 0.009636f, 0.010475f, 0.011475f, 0.012634f, 0.014053f, - 0.015404f, 0.017242f, 0.019104f, 0.021774f, 0.024750f, 0.028458f, 0.032745f, 0.038391f, 0.044861f, 0.052795f, 0.062103f, 0.073914f, - 0.087830f, 0.104553f, 0.123718f, 0.145996f, 0.171509f, 0.200439f, 0.627930f, 0.658691f, 0.666504f, 0.668945f, 0.671387f, 0.671387f, - 0.000013f, 0.000374f, 0.000443f, 0.000688f, 0.000819f, 0.000844f, 0.001004f, 0.001132f, 0.001216f, 0.001259f, 0.001405f, 0.001523f, - 0.001566f, 0.001753f, 0.001842f, 0.001997f, 0.002022f, 0.002287f, 0.002377f, 0.002541f, 0.002787f, 0.002878f, 0.003096f, 0.003283f, - 0.003551f, 0.003651f, 0.003971f, 0.004272f, 0.004524f, 0.004887f, 0.005196f, 0.005527f, 0.005939f, 0.006386f, 0.006977f, 0.007526f, - 0.008148f, 0.008835f, 0.009689f, 0.010689f, 0.011810f, 0.013000f, 0.014641f, 0.016388f, 0.018799f, 0.021469f, 0.024734f, 0.029022f, - 0.034210f, 0.040588f, 0.048401f, 0.058319f, 0.070435f, 0.085205f, 0.102905f, 0.123901f, 0.147827f, 0.175903f, 0.612793f, 0.645508f, - 0.653320f, 0.656250f, 0.657227f, 0.657227f, 0.000113f, 0.000234f, 0.000465f, 0.000547f, 0.000646f, 0.000684f, 0.000711f, 0.000832f, - 0.000963f, 0.000999f, 0.001042f, 0.001183f, 0.001279f, 0.001402f, 0.001494f, 0.001513f, 0.001688f, 0.001716f, 0.001919f, 0.001993f, - 0.002081f, 0.002253f, 0.002441f, 0.002575f, 0.002714f, 0.002876f, 0.003050f, 0.003214f, 0.003531f, 0.003714f, 0.003956f, 0.004276f, - 0.004604f, 0.004967f, 0.005386f, 0.005718f, 0.006283f, 0.006790f, 0.007290f, 0.008133f, 0.008957f, 0.009987f, 0.010956f, 0.012375f, - 0.013916f, 0.015991f, 0.018311f, 0.021347f, 0.025253f, 0.030289f, 0.036560f, 0.044586f, 0.054779f, 0.067749f, 0.083252f, 0.102722f, - 0.125732f, 0.152100f, 0.597168f, 0.631836f, 0.639160f, 0.643555f, 0.643066f, 0.645508f, 0.000207f, 0.000175f, 0.000364f, 0.000507f, - 0.000496f, 0.000569f, 0.000683f, 0.000584f, 0.000737f, 0.000764f, 0.000885f, 0.000964f, 0.000999f, 0.001076f, 0.001085f, 0.001272f, - 0.001327f, 0.001354f, 0.001491f, 0.001494f, 0.001677f, 0.001781f, 0.001862f, 0.001976f, 0.002079f, 0.002190f, 0.002338f, 0.002481f, - 0.002691f, 0.002811f, 0.003117f, 0.003214f, 0.003422f, 0.003706f, 0.003990f, 0.004314f, 0.004608f, 0.004982f, 0.005379f, 0.006027f, - 0.006580f, 0.007351f, 0.008049f, 0.009041f, 0.010323f, 0.011551f, 0.013428f, 0.015419f, 0.018219f, 0.021713f, 0.026550f, 0.032715f, - 0.040833f, 0.051605f, 0.065552f, 0.082458f, 0.104004f, 0.129395f, 0.582031f, 0.618652f, 0.625488f, 0.627930f, 0.630859f, 0.631348f, - 0.000189f, 0.000160f, 0.000272f, 0.000387f, 0.000335f, 0.000486f, 0.000424f, 0.000469f, 0.000551f, 0.000589f, 0.000700f, 0.000727f, - 0.000772f, 0.000859f, 0.000891f, 0.000872f, 0.001000f, 0.001048f, 0.001076f, 0.001172f, 0.001224f, 0.001311f, 0.001376f, 0.001450f, - 0.001554f, 0.001591f, 0.001760f, 0.001838f, 0.001999f, 0.002180f, 0.002333f, 0.002388f, 0.002584f, 0.002777f, 0.002907f, 0.003162f, - 0.003368f, 0.003677f, 0.003979f, 0.004303f, 0.004715f, 0.005188f, 0.005787f, 0.006378f, 0.007313f, 0.008194f, 0.009407f, 0.010887f, - 0.012779f, 0.015198f, 0.018494f, 0.022888f, 0.029037f, 0.037659f, 0.048920f, 0.064270f, 0.083740f, 0.107300f, 0.565918f, 0.603516f, - 0.611328f, 0.614746f, 0.617188f, 0.618164f, 0.000000f, 0.000170f, 0.000207f, 0.000274f, 0.000292f, 0.000309f, 0.000381f, 0.000326f, - 0.000418f, 0.000439f, 0.000519f, 0.000519f, 0.000560f, 0.000574f, 0.000652f, 0.000678f, 0.000717f, 0.000756f, 0.000782f, 0.000820f, - 0.000893f, 0.000937f, 0.000991f, 0.001063f, 0.001112f, 0.001174f, 0.001284f, 0.001302f, 0.001408f, 0.001460f, 0.001586f, 0.001711f, - 0.001826f, 0.001959f, 0.002058f, 0.002207f, 0.002388f, 0.002565f, 0.002836f, 0.003046f, 0.003284f, 0.003567f, 0.004009f, 0.004463f, - 0.005001f, 0.005661f, 0.006451f, 0.007473f, 0.008751f, 0.010368f, 0.012611f, 0.015587f, 0.019730f, 0.025787f, 0.034729f, 0.047272f, - 0.064392f, 0.087097f, 0.550293f, 0.587891f, 0.596680f, 0.600586f, 0.602539f, 0.603516f, 0.000000f, 0.000057f, 0.000175f, 0.000210f, - 0.000221f, 0.000261f, 0.000224f, 0.000285f, 0.000296f, 0.000329f, 0.000374f, 0.000329f, 0.000344f, 0.000416f, 0.000421f, 0.000479f, - 0.000455f, 0.000530f, 0.000552f, 0.000598f, 0.000640f, 0.000670f, 0.000695f, 0.000740f, 0.000798f, 0.000806f, 0.000883f, 0.000908f, - 0.000983f, 0.001094f, 0.001083f, 0.001169f, 0.001242f, 0.001340f, 0.001440f, 0.001536f, 0.001601f, 0.001752f, 0.001893f, 0.002029f, - 0.002218f, 0.002424f, 0.002651f, 0.002934f, 0.003294f, 0.003681f, 0.004200f, 0.004833f, 0.005688f, 0.006863f, 0.008202f, 0.010178f, - 0.012955f, 0.016846f, 0.023163f, 0.032745f, 0.047150f, 0.067383f, 0.534180f, 0.574219f, 0.582031f, 0.584961f, 0.586914f, 0.589844f, - 0.000000f, 0.000105f, 0.000145f, 0.000101f, 0.000161f, 0.000163f, 0.000165f, 0.000193f, 0.000190f, 0.000202f, 0.000205f, 0.000260f, - 0.000251f, 0.000281f, 0.000305f, 0.000316f, 0.000323f, 0.000346f, 0.000364f, 0.000383f, 0.000413f, 0.000436f, 0.000461f, 0.000486f, - 0.000515f, 0.000564f, 0.000594f, 0.000616f, 0.000639f, 0.000677f, 0.000729f, 0.000748f, 0.000842f, 0.000861f, 0.000943f, 0.000970f, - 0.001054f, 0.001120f, 0.001219f, 0.001310f, 0.001398f, 0.001534f, 0.001709f, 0.001852f, 0.002096f, 0.002291f, 0.002594f, 0.002987f, - 0.003481f, 0.004128f, 0.004997f, 0.006218f, 0.007950f, 0.010445f, 0.014313f, 0.020874f, 0.032166f, 0.049866f, 0.517578f, 0.558105f, - 0.567383f, 0.570801f, 0.573730f, 0.574707f, 0.000000f, 0.000097f, 0.000089f, 0.000082f, 0.000092f, 0.000096f, 0.000092f, 0.000118f, - 0.000126f, 0.000130f, 0.000138f, 0.000138f, 0.000143f, 0.000163f, 0.000181f, 0.000187f, 0.000195f, 0.000228f, 0.000221f, 0.000261f, - 0.000243f, 0.000254f, 0.000274f, 0.000299f, 0.000334f, 0.000332f, 0.000345f, 0.000362f, 0.000394f, 0.000410f, 0.000433f, 0.000463f, - 0.000497f, 0.000510f, 0.000562f, 0.000594f, 0.000636f, 0.000670f, 0.000731f, 0.000777f, 0.000832f, 0.000927f, 0.000991f, 0.001101f, - 0.001210f, 0.001350f, 0.001513f, 0.001720f, 0.001999f, 0.002373f, 0.002815f, 0.003498f, 0.004478f, 0.006001f, 0.008347f, 0.012299f, - 0.019669f, 0.034210f, 0.501465f, 0.542969f, 0.552246f, 0.556641f, 0.559082f, 0.559570f, 0.000107f, 0.000087f, 0.000077f, 0.000070f, - 0.000065f, 0.000066f, 0.000059f, 0.000064f, 0.000065f, 0.000071f, 0.000070f, 0.000095f, 0.000081f, 0.000085f, 0.000110f, 0.000097f, - 0.000117f, 0.000126f, 0.000127f, 0.000133f, 0.000132f, 0.000141f, 0.000169f, 0.000173f, 0.000185f, 0.000183f, 0.000192f, 0.000215f, - 0.000216f, 0.000235f, 0.000236f, 0.000265f, 0.000278f, 0.000290f, 0.000313f, 0.000317f, 0.000347f, 0.000365f, 0.000400f, 0.000422f, - 0.000457f, 0.000494f, 0.000535f, 0.000586f, 0.000639f, 0.000700f, 0.000786f, 0.000888f, 0.001019f, 0.001207f, 0.001435f, 0.001746f, - 0.002258f, 0.003019f, 0.004299f, 0.006523f, 0.010612f, 0.020859f, 0.484619f, 0.527344f, 0.536621f, 0.541504f, 0.542969f, 0.544922f, - 0.000092f, 0.000070f, 0.000062f, 0.000056f, 0.000051f, 0.000048f, 0.000045f, 0.000044f, 0.000041f, 0.000039f, 0.000038f, 0.000037f, - 0.000047f, 0.000039f, 0.000041f, 0.000041f, 0.000058f, 0.000053f, 0.000062f, 0.000064f, 0.000068f, 0.000072f, 0.000076f, 0.000076f, - 0.000078f, 0.000092f, 0.000085f, 0.000101f, 0.000104f, 0.000110f, 0.000115f, 0.000118f, 0.000127f, 0.000133f, 0.000152f, 0.000150f, - 0.000163f, 0.000190f, 0.000190f, 0.000202f, 0.000213f, 0.000225f, 0.000249f, 0.000268f, 0.000296f, 0.000321f, 0.000354f, 0.000402f, - 0.000458f, 0.000520f, 0.000618f, 0.000744f, 0.000950f, 0.001263f, 0.001822f, 0.002865f, 0.005028f, 0.010544f, 0.468018f, 0.511230f, - 0.521484f, 0.524902f, 0.529297f, 0.529785f, 0.000067f, 0.000049f, 0.000041f, 0.000037f, 0.000034f, 0.000032f, 0.000031f, 0.000029f, - 0.000028f, 0.000027f, 0.000027f, 0.000026f, 0.000025f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000020f, 0.000023f, 0.000024f, - 0.000021f, 0.000022f, 0.000025f, 0.000029f, 0.000030f, 0.000034f, 0.000036f, 0.000034f, 0.000039f, 0.000038f, 0.000045f, 0.000045f, - 0.000048f, 0.000051f, 0.000053f, 0.000055f, 0.000063f, 0.000070f, 0.000073f, 0.000073f, 0.000080f, 0.000084f, 0.000089f, 0.000102f, - 0.000107f, 0.000115f, 0.000128f, 0.000145f, 0.000156f, 0.000178f, 0.000213f, 0.000253f, 0.000311f, 0.000400f, 0.000572f, 0.000916f, - 0.001751f, 0.004158f, 0.450439f, 0.496338f, 0.505859f, 0.510742f, 0.513184f, 0.514648f, 0.000016f, 0.000013f, 0.000011f, 0.000010f, - 0.000012f, 0.000012f, 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, - 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, - 0.000008f, 0.000009f, 0.000009f, 0.000009f, 0.000009f, 0.000011f, 0.000012f, 0.000012f, 0.000015f, 0.000014f, 0.000014f, 0.000017f, - 0.000018f, 0.000020f, 0.000020f, 0.000022f, 0.000026f, 0.000027f, 0.000028f, 0.000027f, 0.000033f, 0.000036f, 0.000044f, 0.000051f, - 0.000057f, 0.000078f, 0.000103f, 0.000159f, 0.000315f, 0.000997f, 0.433350f, 0.479980f, 0.490234f, 0.495605f, 0.498291f, 0.499512f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, 0.000007f, 0.000025f, 0.416016f, 0.464111f, - 0.474854f, 0.479248f, 0.481934f, 0.484375f, - }, - { - 0.023209f, 0.069336f, 0.113037f, 0.154663f, 0.193726f, 0.231812f, 0.267578f, 0.301758f, 0.333740f, 0.364258f, 0.393555f, 0.421631f, - 0.447510f, 0.473145f, 0.497070f, 0.520020f, 0.541992f, 0.562988f, 0.583008f, 0.602539f, 0.620605f, 0.638184f, 0.655762f, 0.671387f, - 0.687500f, 0.702637f, 0.716309f, 0.729980f, 0.744141f, 0.757812f, 0.769531f, 0.782227f, 0.793945f, 0.804688f, 0.815918f, 0.826172f, - 0.836426f, 0.846191f, 0.855957f, 0.865234f, 0.874023f, 0.882812f, 0.891113f, 0.898926f, 0.907227f, 0.915039f, 0.922852f, 0.929688f, - 0.937012f, 0.943848f, 0.950684f, 0.956543f, 0.963379f, 0.969238f, 0.976074f, 0.981445f, 0.986816f, 0.992676f, 0.991211f, 0.978516f, - 0.968750f, 0.960449f, 0.952637f, 0.945312f, 0.019730f, 0.059631f, 0.098206f, 0.135864f, 0.172119f, 0.206421f, 0.239624f, 0.272461f, - 0.304932f, 0.333984f, 0.362549f, 0.389648f, 0.416016f, 0.441406f, 0.466309f, 0.489502f, 0.511230f, 0.533203f, 0.554199f, 0.573242f, - 0.593262f, 0.611816f, 0.629395f, 0.645508f, 0.662598f, 0.678711f, 0.693359f, 0.708496f, 0.722168f, 0.735840f, 0.750000f, 0.762207f, - 0.773926f, 0.786133f, 0.796875f, 0.808594f, 0.818848f, 0.829590f, 0.839355f, 0.850098f, 0.859863f, 0.868652f, 0.877441f, 0.886230f, - 0.895020f, 0.903809f, 0.911133f, 0.918457f, 0.925781f, 0.933105f, 0.940430f, 0.946777f, 0.954590f, 0.960938f, 0.966797f, 0.973145f, - 0.979004f, 0.984863f, 0.987793f, 0.976074f, 0.966797f, 0.958496f, 0.951172f, 0.943848f, 0.017151f, 0.051636f, 0.085510f, 0.119202f, - 0.152466f, 0.184814f, 0.216187f, 0.246582f, 0.276855f, 0.305664f, 0.332764f, 0.360107f, 0.385986f, 0.411621f, 0.435791f, 0.459473f, - 0.481445f, 0.502441f, 0.524414f, 0.546387f, 0.565430f, 0.583496f, 0.602051f, 0.619629f, 0.636719f, 0.653320f, 0.669434f, 0.684082f, - 0.699707f, 0.713867f, 0.728027f, 0.741211f, 0.754883f, 0.767090f, 0.779297f, 0.791016f, 0.802734f, 0.813965f, 0.824219f, 0.833984f, - 0.843750f, 0.854492f, 0.863281f, 0.873535f, 0.882324f, 0.890137f, 0.898926f, 0.906738f, 0.915039f, 0.922852f, 0.930176f, 0.937012f, - 0.944336f, 0.951172f, 0.958008f, 0.964844f, 0.970703f, 0.977051f, 0.983887f, 0.972656f, 0.964355f, 0.956543f, 0.949219f, 0.942383f, - 0.014885f, 0.044678f, 0.075195f, 0.104919f, 0.135254f, 0.165649f, 0.194702f, 0.223633f, 0.251221f, 0.279053f, 0.305420f, 0.331543f, - 0.357422f, 0.382568f, 0.406982f, 0.430420f, 0.453369f, 0.475586f, 0.496582f, 0.517090f, 0.536133f, 0.556641f, 0.575684f, 0.592773f, - 0.611328f, 0.628418f, 0.643555f, 0.661621f, 0.676270f, 0.691406f, 0.705566f, 0.720215f, 0.733887f, 0.746582f, 0.759766f, 0.772949f, - 0.784668f, 0.795898f, 0.807129f, 0.818359f, 0.828125f, 0.838867f, 0.848633f, 0.858887f, 0.867676f, 0.877441f, 0.886230f, 0.894531f, - 0.903320f, 0.911621f, 0.919434f, 0.927734f, 0.934570f, 0.940918f, 0.948730f, 0.956543f, 0.962402f, 0.969238f, 0.979980f, 0.970215f, - 0.961914f, 0.954102f, 0.947266f, 0.940918f, 0.013046f, 0.038940f, 0.066162f, 0.093323f, 0.120544f, 0.147583f, 0.174683f, 0.201538f, - 0.228516f, 0.254639f, 0.280518f, 0.304932f, 0.330566f, 0.354492f, 0.379395f, 0.402100f, 0.424561f, 0.446533f, 0.467529f, 0.488525f, - 0.509277f, 0.529297f, 0.547852f, 0.566895f, 0.585449f, 0.602539f, 0.620605f, 0.636230f, 0.653809f, 0.667480f, 0.684570f, 0.698242f, - 0.712891f, 0.726562f, 0.739746f, 0.753418f, 0.765625f, 0.777344f, 0.789551f, 0.801270f, 0.812500f, 0.823730f, 0.833984f, 0.844238f, - 0.854004f, 0.863770f, 0.874023f, 0.882324f, 0.891113f, 0.899902f, 0.908203f, 0.916504f, 0.924805f, 0.932129f, 0.939453f, 0.947266f, - 0.954102f, 0.960938f, 0.976562f, 0.967285f, 0.958984f, 0.951660f, 0.944824f, 0.938965f, 0.011696f, 0.034698f, 0.058807f, 0.083130f, - 0.107727f, 0.132324f, 0.156982f, 0.182251f, 0.207153f, 0.232178f, 0.256836f, 0.280762f, 0.304688f, 0.328369f, 0.352295f, 0.375244f, - 0.397461f, 0.419434f, 0.440430f, 0.461914f, 0.482178f, 0.501953f, 0.522461f, 0.540527f, 0.559570f, 0.577148f, 0.595703f, 0.613281f, - 0.628418f, 0.644531f, 0.661621f, 0.676270f, 0.691406f, 0.705078f, 0.719727f, 0.733887f, 0.746094f, 0.759766f, 0.771973f, 0.784180f, - 0.795898f, 0.807617f, 0.818359f, 0.829102f, 0.839844f, 0.850098f, 0.859375f, 0.869629f, 0.878906f, 0.887695f, 0.896484f, 0.905273f, - 0.914062f, 0.921875f, 0.929688f, 0.937988f, 0.944824f, 0.952637f, 0.973145f, 0.963379f, 0.956055f, 0.949219f, 0.942871f, 0.937012f, - 0.010094f, 0.030975f, 0.052063f, 0.073975f, 0.096069f, 0.118713f, 0.141479f, 0.164551f, 0.187866f, 0.211182f, 0.234985f, 0.258057f, - 0.280518f, 0.303467f, 0.326172f, 0.348145f, 0.370117f, 0.392822f, 0.413574f, 0.434814f, 0.455322f, 0.476074f, 0.495361f, 0.515137f, - 0.533203f, 0.551758f, 0.569824f, 0.586426f, 0.604492f, 0.621582f, 0.637695f, 0.654297f, 0.668945f, 0.683594f, 0.699219f, 0.712402f, - 0.728516f, 0.741699f, 0.753906f, 0.767090f, 0.778320f, 0.790527f, 0.802246f, 0.813965f, 0.824219f, 0.835449f, 0.846680f, 0.855957f, - 0.865723f, 0.875488f, 0.884766f, 0.894043f, 0.902832f, 0.911133f, 0.919434f, 0.927734f, 0.935547f, 0.943359f, 0.968750f, 0.960449f, - 0.953125f, 0.946289f, 0.940430f, 0.934570f, 0.008797f, 0.027466f, 0.045959f, 0.066223f, 0.086304f, 0.106506f, 0.127441f, 0.149170f, - 0.170532f, 0.192261f, 0.213867f, 0.236206f, 0.258057f, 0.280273f, 0.301758f, 0.323486f, 0.344727f, 0.367188f, 0.388184f, 0.408447f, - 0.429443f, 0.450439f, 0.469727f, 0.489014f, 0.508301f, 0.526855f, 0.545410f, 0.562500f, 0.581055f, 0.597656f, 0.613770f, 0.630859f, - 0.647461f, 0.663574f, 0.677734f, 0.693359f, 0.707031f, 0.720703f, 0.735352f, 0.748047f, 0.760254f, 0.772461f, 0.785156f, 0.797363f, - 0.810059f, 0.819824f, 0.831543f, 0.842285f, 0.852051f, 0.862793f, 0.873047f, 0.882324f, 0.891113f, 0.899902f, 0.909180f, 0.917969f, - 0.925781f, 0.934082f, 0.964355f, 0.957031f, 0.949707f, 0.943359f, 0.937988f, 0.932129f, 0.007927f, 0.024414f, 0.041077f, 0.059204f, - 0.077148f, 0.095581f, 0.115479f, 0.134644f, 0.154785f, 0.175293f, 0.196045f, 0.216553f, 0.236694f, 0.258057f, 0.278809f, 0.300049f, - 0.321289f, 0.342529f, 0.363281f, 0.383545f, 0.403564f, 0.424072f, 0.444092f, 0.463135f, 0.483154f, 0.501953f, 0.519531f, 0.539062f, - 0.555664f, 0.574707f, 0.591309f, 0.608398f, 0.624512f, 0.640137f, 0.655762f, 0.671875f, 0.686523f, 0.701172f, 0.715820f, 0.729004f, - 0.742676f, 0.755859f, 0.769043f, 0.781738f, 0.792969f, 0.805176f, 0.816895f, 0.827637f, 0.838867f, 0.849121f, 0.859375f, 0.870117f, - 0.879395f, 0.889160f, 0.898926f, 0.906738f, 0.916504f, 0.924805f, 0.960938f, 0.953125f, 0.947266f, 0.940430f, 0.935547f, 0.929688f, - 0.007080f, 0.022247f, 0.037445f, 0.053070f, 0.069336f, 0.086975f, 0.103577f, 0.121948f, 0.140503f, 0.158936f, 0.178833f, 0.198242f, - 0.217651f, 0.237793f, 0.257812f, 0.278076f, 0.297607f, 0.318604f, 0.338623f, 0.358643f, 0.378662f, 0.399170f, 0.418213f, 0.438721f, - 0.457520f, 0.477051f, 0.495361f, 0.513672f, 0.531250f, 0.549316f, 0.567383f, 0.583984f, 0.601562f, 0.617676f, 0.634277f, 0.650391f, - 0.666016f, 0.680176f, 0.695801f, 0.710449f, 0.723633f, 0.737305f, 0.750977f, 0.764648f, 0.776367f, 0.789551f, 0.802246f, 0.813477f, - 0.824219f, 0.835938f, 0.846680f, 0.857422f, 0.867188f, 0.876953f, 0.887207f, 0.895996f, 0.905762f, 0.915527f, 0.955566f, 0.949707f, - 0.943359f, 0.937988f, 0.932129f, 0.927246f, 0.006363f, 0.019516f, 0.033691f, 0.047577f, 0.062469f, 0.078186f, 0.093933f, 0.110657f, - 0.127563f, 0.144653f, 0.162598f, 0.181152f, 0.199707f, 0.218384f, 0.237427f, 0.257324f, 0.276367f, 0.295166f, 0.315674f, 0.335205f, - 0.355225f, 0.374756f, 0.393799f, 0.413574f, 0.432617f, 0.451904f, 0.470459f, 0.489258f, 0.508301f, 0.525879f, 0.543945f, 0.560059f, - 0.578613f, 0.595703f, 0.612793f, 0.628418f, 0.644531f, 0.659668f, 0.675293f, 0.689941f, 0.704590f, 0.719238f, 0.732910f, 0.747070f, - 0.759766f, 0.773438f, 0.785156f, 0.797852f, 0.809570f, 0.821289f, 0.833008f, 0.843750f, 0.854980f, 0.865723f, 0.875977f, 0.886230f, - 0.895508f, 0.904785f, 0.951660f, 0.945801f, 0.939941f, 0.934570f, 0.929199f, 0.924805f, 0.005985f, 0.017776f, 0.030212f, 0.043030f, - 0.056488f, 0.070190f, 0.085205f, 0.100342f, 0.115723f, 0.132446f, 0.148438f, 0.165771f, 0.183228f, 0.200684f, 0.218994f, 0.237183f, - 0.255859f, 0.274170f, 0.292725f, 0.313477f, 0.331299f, 0.351318f, 0.369873f, 0.389160f, 0.408936f, 0.426758f, 0.446533f, 0.464844f, - 0.483154f, 0.501465f, 0.519531f, 0.537598f, 0.555664f, 0.572754f, 0.589844f, 0.605957f, 0.622070f, 0.639648f, 0.654297f, 0.670898f, - 0.685059f, 0.700195f, 0.714844f, 0.728516f, 0.742188f, 0.754883f, 0.769043f, 0.781738f, 0.795410f, 0.808105f, 0.818359f, 0.830566f, - 0.841797f, 0.853027f, 0.863770f, 0.874023f, 0.884766f, 0.893555f, 0.947266f, 0.942383f, 0.936523f, 0.930664f, 0.926270f, 0.921387f, - 0.005173f, 0.016083f, 0.027359f, 0.038849f, 0.051056f, 0.063843f, 0.077026f, 0.091064f, 0.105591f, 0.120422f, 0.135498f, 0.150879f, - 0.167480f, 0.184326f, 0.201172f, 0.218384f, 0.236084f, 0.254395f, 0.272949f, 0.291260f, 0.309570f, 0.328125f, 0.346680f, 0.365967f, - 0.384766f, 0.403320f, 0.422119f, 0.440918f, 0.458984f, 0.477783f, 0.496094f, 0.513672f, 0.531738f, 0.548828f, 0.566406f, 0.583984f, - 0.600098f, 0.617188f, 0.632812f, 0.649902f, 0.665527f, 0.681152f, 0.694824f, 0.709473f, 0.724121f, 0.738770f, 0.752441f, 0.765137f, - 0.778809f, 0.791992f, 0.803711f, 0.815918f, 0.828125f, 0.839844f, 0.851562f, 0.862793f, 0.873535f, 0.883789f, 0.941895f, 0.938477f, - 0.933105f, 0.927246f, 0.922363f, 0.918457f, 0.004791f, 0.014610f, 0.024475f, 0.035126f, 0.046478f, 0.057922f, 0.069885f, 0.083008f, - 0.096069f, 0.109253f, 0.123840f, 0.137939f, 0.153076f, 0.168701f, 0.185059f, 0.200928f, 0.218262f, 0.234985f, 0.252686f, 0.270264f, - 0.288086f, 0.306396f, 0.324951f, 0.343018f, 0.362305f, 0.379883f, 0.398926f, 0.417236f, 0.435547f, 0.454346f, 0.472656f, 0.491211f, - 0.508301f, 0.526855f, 0.543457f, 0.561523f, 0.578125f, 0.595215f, 0.612305f, 0.628418f, 0.644043f, 0.660645f, 0.675781f, 0.691406f, - 0.706055f, 0.720215f, 0.735840f, 0.749023f, 0.762695f, 0.776855f, 0.789551f, 0.800781f, 0.814941f, 0.826172f, 0.838867f, 0.851074f, - 0.862305f, 0.872070f, 0.937500f, 0.933594f, 0.929199f, 0.923828f, 0.919434f, 0.915527f, 0.004387f, 0.013268f, 0.022385f, 0.031860f, - 0.041962f, 0.052612f, 0.063171f, 0.075073f, 0.086792f, 0.099854f, 0.113037f, 0.125977f, 0.140381f, 0.154663f, 0.169678f, 0.184814f, - 0.200562f, 0.217773f, 0.234131f, 0.250732f, 0.268066f, 0.284912f, 0.303223f, 0.321289f, 0.339355f, 0.357666f, 0.375488f, 0.394043f, - 0.411865f, 0.430664f, 0.448730f, 0.467041f, 0.485352f, 0.503418f, 0.520508f, 0.539062f, 0.556152f, 0.573242f, 0.590820f, 0.606934f, - 0.624512f, 0.640625f, 0.655762f, 0.672363f, 0.687500f, 0.702148f, 0.718750f, 0.731934f, 0.746582f, 0.759766f, 0.772949f, 0.787109f, - 0.800781f, 0.813477f, 0.825195f, 0.838379f, 0.850098f, 0.861816f, 0.932617f, 0.929688f, 0.925293f, 0.919922f, 0.915527f, 0.912109f, - 0.003941f, 0.011986f, 0.020630f, 0.029144f, 0.038544f, 0.048035f, 0.058075f, 0.068542f, 0.079590f, 0.090942f, 0.102661f, 0.115295f, - 0.128296f, 0.141602f, 0.155518f, 0.170654f, 0.185425f, 0.200684f, 0.216309f, 0.231812f, 0.249146f, 0.265137f, 0.282471f, 0.299072f, - 0.317139f, 0.334717f, 0.352783f, 0.371338f, 0.388916f, 0.406982f, 0.425537f, 0.443848f, 0.461914f, 0.479980f, 0.498291f, 0.515625f, - 0.533203f, 0.550293f, 0.568359f, 0.585449f, 0.603027f, 0.618652f, 0.635742f, 0.652344f, 0.668457f, 0.684082f, 0.699219f, 0.713867f, - 0.729004f, 0.743652f, 0.757812f, 0.771484f, 0.785645f, 0.798828f, 0.812012f, 0.824219f, 0.836914f, 0.850098f, 0.927246f, 0.925293f, - 0.920410f, 0.916504f, 0.912598f, 0.908203f, 0.003790f, 0.011009f, 0.018829f, 0.026779f, 0.035339f, 0.043762f, 0.053223f, 0.062408f, - 0.072693f, 0.082947f, 0.093689f, 0.105469f, 0.117554f, 0.130005f, 0.142822f, 0.156494f, 0.170166f, 0.184448f, 0.198975f, 0.213745f, - 0.230469f, 0.246460f, 0.262939f, 0.279541f, 0.296143f, 0.313721f, 0.331299f, 0.348633f, 0.367188f, 0.384521f, 0.402344f, 0.420410f, - 0.438965f, 0.457275f, 0.475830f, 0.493164f, 0.510742f, 0.528809f, 0.546387f, 0.564453f, 0.581055f, 0.598145f, 0.615234f, 0.631836f, - 0.647461f, 0.665527f, 0.680664f, 0.696289f, 0.711914f, 0.728027f, 0.741211f, 0.756836f, 0.770508f, 0.783691f, 0.798340f, 0.811523f, - 0.824219f, 0.837402f, 0.921387f, 0.920410f, 0.916504f, 0.913086f, 0.908691f, 0.904785f, 0.003479f, 0.009949f, 0.016937f, 0.024445f, - 0.031708f, 0.039948f, 0.048218f, 0.056793f, 0.066223f, 0.075928f, 0.085632f, 0.096313f, 0.107178f, 0.118958f, 0.130493f, 0.143311f, - 0.156494f, 0.170044f, 0.183960f, 0.197876f, 0.213501f, 0.228027f, 0.244019f, 0.260010f, 0.276611f, 0.293213f, 0.309814f, 0.327393f, - 0.344482f, 0.363037f, 0.379883f, 0.398438f, 0.416504f, 0.434082f, 0.451904f, 0.470215f, 0.488525f, 0.505859f, 0.523926f, 0.541504f, - 0.559570f, 0.577637f, 0.594238f, 0.611328f, 0.628418f, 0.645020f, 0.661133f, 0.677246f, 0.693848f, 0.709961f, 0.725586f, 0.739746f, - 0.755371f, 0.769531f, 0.783203f, 0.797852f, 0.810547f, 0.824707f, 0.916016f, 0.915527f, 0.912109f, 0.908691f, 0.904785f, 0.900879f, - 0.003014f, 0.008842f, 0.015640f, 0.022018f, 0.028885f, 0.036163f, 0.044250f, 0.051819f, 0.059967f, 0.069031f, 0.078247f, 0.088135f, - 0.098267f, 0.108337f, 0.119751f, 0.131470f, 0.143433f, 0.156006f, 0.169189f, 0.183105f, 0.196655f, 0.211304f, 0.226196f, 0.241211f, - 0.257080f, 0.273438f, 0.289307f, 0.306396f, 0.323975f, 0.340576f, 0.358398f, 0.375732f, 0.393799f, 0.411133f, 0.429688f, 0.447998f, - 0.466064f, 0.483887f, 0.501465f, 0.519531f, 0.537598f, 0.555664f, 0.573242f, 0.590820f, 0.607910f, 0.625000f, 0.642578f, 0.658203f, - 0.675293f, 0.691406f, 0.707520f, 0.724121f, 0.738770f, 0.753418f, 0.769531f, 0.783203f, 0.797363f, 0.811523f, 0.910156f, 0.910645f, - 0.907715f, 0.904785f, 0.900879f, 0.896973f, 0.002861f, 0.008591f, 0.014000f, 0.020203f, 0.026962f, 0.033203f, 0.040161f, 0.047485f, - 0.055237f, 0.062988f, 0.071594f, 0.080750f, 0.089905f, 0.099854f, 0.109741f, 0.120056f, 0.131592f, 0.143311f, 0.155640f, 0.167969f, - 0.181763f, 0.195190f, 0.209229f, 0.223877f, 0.238647f, 0.254150f, 0.269531f, 0.285889f, 0.302979f, 0.319824f, 0.336426f, 0.354004f, - 0.372070f, 0.389893f, 0.406982f, 0.424805f, 0.443359f, 0.461182f, 0.479492f, 0.498047f, 0.515625f, 0.533691f, 0.551270f, 0.569336f, - 0.587402f, 0.604492f, 0.622070f, 0.639160f, 0.656738f, 0.673828f, 0.689941f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768066f, - 0.783203f, 0.798340f, 0.904297f, 0.905762f, 0.902832f, 0.899414f, 0.895996f, 0.893066f, 0.002535f, 0.007812f, 0.013252f, 0.018738f, - 0.024384f, 0.030548f, 0.036774f, 0.043427f, 0.050476f, 0.057556f, 0.065491f, 0.073425f, 0.082458f, 0.091370f, 0.100525f, 0.110413f, - 0.120605f, 0.131592f, 0.142822f, 0.154663f, 0.166870f, 0.180176f, 0.193237f, 0.207031f, 0.221191f, 0.236084f, 0.250732f, 0.266602f, - 0.282959f, 0.299072f, 0.315430f, 0.332520f, 0.350342f, 0.367676f, 0.385010f, 0.403076f, 0.421631f, 0.439209f, 0.457520f, 0.475342f, - 0.494141f, 0.512695f, 0.530273f, 0.547852f, 0.565918f, 0.584473f, 0.602051f, 0.619629f, 0.637207f, 0.655273f, 0.671387f, 0.688965f, - 0.706055f, 0.721191f, 0.737305f, 0.752930f, 0.769531f, 0.784668f, 0.898438f, 0.900879f, 0.897949f, 0.894531f, 0.891602f, 0.888672f, - 0.002411f, 0.007103f, 0.012161f, 0.017105f, 0.022385f, 0.027985f, 0.033203f, 0.039581f, 0.045532f, 0.052521f, 0.059814f, 0.067261f, - 0.074768f, 0.083313f, 0.092041f, 0.101013f, 0.110291f, 0.120361f, 0.130615f, 0.141724f, 0.153076f, 0.165283f, 0.177612f, 0.190918f, - 0.204346f, 0.218506f, 0.233154f, 0.247559f, 0.263428f, 0.279053f, 0.295166f, 0.312256f, 0.328857f, 0.345947f, 0.363281f, 0.381348f, - 0.398926f, 0.417236f, 0.435547f, 0.453369f, 0.471191f, 0.489502f, 0.508301f, 0.525879f, 0.545410f, 0.563477f, 0.581055f, 0.600098f, - 0.617676f, 0.635254f, 0.653809f, 0.670410f, 0.687500f, 0.705078f, 0.720703f, 0.736816f, 0.753418f, 0.769531f, 0.892090f, 0.895020f, - 0.892578f, 0.889648f, 0.887207f, 0.884277f, 0.002344f, 0.006565f, 0.011322f, 0.015686f, 0.020630f, 0.025574f, 0.030807f, 0.035980f, - 0.042084f, 0.048279f, 0.054352f, 0.061432f, 0.068848f, 0.076172f, 0.083618f, 0.092590f, 0.101135f, 0.109619f, 0.120178f, 0.130249f, - 0.140991f, 0.151978f, 0.163696f, 0.175781f, 0.188721f, 0.202026f, 0.215820f, 0.230103f, 0.244873f, 0.259766f, 0.275635f, 0.291504f, - 0.307617f, 0.324219f, 0.342041f, 0.358887f, 0.376709f, 0.394775f, 0.412354f, 0.431152f, 0.448975f, 0.468018f, 0.486328f, 0.504883f, - 0.523438f, 0.541992f, 0.560547f, 0.579102f, 0.597656f, 0.615234f, 0.633789f, 0.651855f, 0.669434f, 0.687500f, 0.704590f, 0.721680f, - 0.738770f, 0.755859f, 0.886719f, 0.889648f, 0.887695f, 0.884766f, 0.882812f, 0.879883f, 0.002003f, 0.006268f, 0.009987f, 0.014198f, - 0.018875f, 0.023605f, 0.028259f, 0.033203f, 0.038513f, 0.044495f, 0.049866f, 0.056152f, 0.062500f, 0.069458f, 0.076660f, 0.084473f, - 0.092163f, 0.100586f, 0.109741f, 0.119324f, 0.128662f, 0.139526f, 0.150146f, 0.161499f, 0.173706f, 0.185791f, 0.199341f, 0.212891f, - 0.227051f, 0.241455f, 0.256592f, 0.271729f, 0.288330f, 0.304199f, 0.321045f, 0.337891f, 0.355469f, 0.373291f, 0.391113f, 0.408936f, - 0.426758f, 0.446289f, 0.464600f, 0.483643f, 0.500977f, 0.520996f, 0.539551f, 0.558594f, 0.577148f, 0.595703f, 0.614746f, 0.632324f, - 0.650879f, 0.669434f, 0.687012f, 0.704590f, 0.722656f, 0.740234f, 0.880371f, 0.883301f, 0.881836f, 0.879883f, 0.877441f, 0.875000f, - 0.001739f, 0.005779f, 0.009598f, 0.013245f, 0.017334f, 0.021637f, 0.025955f, 0.030121f, 0.035217f, 0.040131f, 0.045990f, 0.051453f, - 0.056915f, 0.063354f, 0.070007f, 0.076965f, 0.084351f, 0.091980f, 0.100281f, 0.108826f, 0.117981f, 0.127441f, 0.137939f, 0.148315f, - 0.160034f, 0.171753f, 0.183594f, 0.196167f, 0.209961f, 0.223511f, 0.238037f, 0.252930f, 0.268066f, 0.284180f, 0.300537f, 0.317139f, - 0.333740f, 0.351074f, 0.368896f, 0.386719f, 0.405273f, 0.423584f, 0.442871f, 0.460938f, 0.479736f, 0.499512f, 0.517578f, 0.537109f, - 0.555664f, 0.575195f, 0.594238f, 0.613770f, 0.632324f, 0.650879f, 0.669922f, 0.687988f, 0.706055f, 0.724121f, 0.873047f, 0.876953f, - 0.875488f, 0.874023f, 0.872559f, 0.869141f, 0.001648f, 0.005039f, 0.008675f, 0.012161f, 0.015823f, 0.019760f, 0.023865f, 0.028015f, - 0.032318f, 0.036865f, 0.041504f, 0.046906f, 0.051758f, 0.057922f, 0.064087f, 0.070435f, 0.077209f, 0.084290f, 0.091736f, 0.099243f, - 0.108215f, 0.117004f, 0.126343f, 0.135620f, 0.146484f, 0.157349f, 0.168823f, 0.180908f, 0.193848f, 0.206909f, 0.220459f, 0.234619f, - 0.249634f, 0.264404f, 0.280273f, 0.296631f, 0.313232f, 0.329834f, 0.347412f, 0.365479f, 0.383545f, 0.401855f, 0.420166f, 0.438721f, - 0.458252f, 0.477783f, 0.496826f, 0.516602f, 0.535156f, 0.554199f, 0.574219f, 0.593750f, 0.612305f, 0.631836f, 0.651367f, 0.670410f, - 0.689453f, 0.708984f, 0.865234f, 0.872070f, 0.870605f, 0.868652f, 0.866699f, 0.863770f, 0.001492f, 0.004704f, 0.007973f, 0.011124f, - 0.014603f, 0.017792f, 0.021652f, 0.025314f, 0.029526f, 0.033722f, 0.038147f, 0.042694f, 0.047668f, 0.052673f, 0.057983f, 0.064209f, - 0.070068f, 0.076233f, 0.083313f, 0.090942f, 0.098572f, 0.106750f, 0.115295f, 0.124512f, 0.134277f, 0.144287f, 0.154663f, 0.166504f, - 0.178345f, 0.190063f, 0.203247f, 0.217041f, 0.231079f, 0.245850f, 0.260986f, 0.276611f, 0.293213f, 0.309570f, 0.326172f, 0.343994f, - 0.361816f, 0.379395f, 0.397949f, 0.417480f, 0.436523f, 0.455322f, 0.474854f, 0.493896f, 0.514160f, 0.533691f, 0.553711f, 0.573730f, - 0.593262f, 0.612793f, 0.632812f, 0.651855f, 0.672363f, 0.690918f, 0.857910f, 0.865723f, 0.864746f, 0.863281f, 0.860352f, 0.858887f, - 0.001657f, 0.004684f, 0.007290f, 0.010201f, 0.013657f, 0.016541f, 0.019989f, 0.023636f, 0.026932f, 0.030548f, 0.034576f, 0.039154f, - 0.043793f, 0.048126f, 0.053162f, 0.058319f, 0.063721f, 0.069885f, 0.076355f, 0.082947f, 0.089844f, 0.097046f, 0.105286f, 0.113281f, - 0.122559f, 0.131348f, 0.141357f, 0.152100f, 0.163330f, 0.175415f, 0.187256f, 0.199951f, 0.213501f, 0.227051f, 0.241943f, 0.257324f, - 0.273193f, 0.288818f, 0.305420f, 0.322754f, 0.340576f, 0.358643f, 0.375732f, 0.394775f, 0.414307f, 0.433105f, 0.453613f, 0.472168f, - 0.492188f, 0.512695f, 0.532715f, 0.552246f, 0.573242f, 0.593262f, 0.613770f, 0.632812f, 0.654785f, 0.673828f, 0.851074f, 0.859375f, - 0.858398f, 0.856934f, 0.855469f, 0.853027f, 0.001457f, 0.003944f, 0.006870f, 0.009392f, 0.012543f, 0.015190f, 0.018417f, 0.021576f, - 0.024811f, 0.028122f, 0.031708f, 0.035278f, 0.039398f, 0.043793f, 0.048218f, 0.052887f, 0.058044f, 0.063477f, 0.069397f, 0.075256f, - 0.081360f, 0.088318f, 0.095398f, 0.103210f, 0.111084f, 0.120361f, 0.129150f, 0.139038f, 0.149292f, 0.160645f, 0.172241f, 0.183716f, - 0.196533f, 0.209595f, 0.224121f, 0.238647f, 0.253174f, 0.268799f, 0.286133f, 0.302490f, 0.319092f, 0.337158f, 0.355225f, 0.373535f, - 0.392090f, 0.411133f, 0.430908f, 0.450928f, 0.470947f, 0.490967f, 0.511719f, 0.531250f, 0.551758f, 0.573730f, 0.594238f, 0.614746f, - 0.636230f, 0.656738f, 0.842773f, 0.852051f, 0.851562f, 0.851074f, 0.848633f, 0.846680f, 0.001404f, 0.003891f, 0.006233f, 0.008751f, - 0.011353f, 0.014175f, 0.017075f, 0.019592f, 0.022842f, 0.025772f, 0.028839f, 0.032410f, 0.036011f, 0.039764f, 0.043671f, 0.048126f, - 0.052704f, 0.057373f, 0.062561f, 0.067688f, 0.074158f, 0.080200f, 0.086853f, 0.093445f, 0.101379f, 0.109192f, 0.117432f, 0.126709f, - 0.136353f, 0.146484f, 0.157227f, 0.168823f, 0.180542f, 0.193115f, 0.206299f, 0.219727f, 0.234375f, 0.249756f, 0.265869f, 0.281738f, - 0.298096f, 0.315674f, 0.333252f, 0.352051f, 0.370850f, 0.389160f, 0.409180f, 0.428955f, 0.448730f, 0.469971f, 0.489502f, 0.510742f, - 0.531738f, 0.552246f, 0.574707f, 0.595215f, 0.617676f, 0.639160f, 0.835449f, 0.845215f, 0.845215f, 0.844238f, 0.843262f, 0.840332f, - 0.001275f, 0.003536f, 0.005600f, 0.007881f, 0.010628f, 0.012878f, 0.015610f, 0.018097f, 0.020996f, 0.023376f, 0.026443f, 0.029556f, - 0.032867f, 0.036163f, 0.039581f, 0.043915f, 0.047943f, 0.052216f, 0.056763f, 0.061981f, 0.067322f, 0.072449f, 0.078796f, 0.084717f, - 0.091919f, 0.098999f, 0.106995f, 0.115417f, 0.124084f, 0.133667f, 0.143433f, 0.154297f, 0.165161f, 0.177124f, 0.189697f, 0.202759f, - 0.216309f, 0.230713f, 0.245728f, 0.261719f, 0.278320f, 0.295410f, 0.312256f, 0.330566f, 0.349365f, 0.367676f, 0.386719f, 0.406494f, - 0.427246f, 0.447266f, 0.468506f, 0.489746f, 0.510742f, 0.532227f, 0.553711f, 0.575684f, 0.597656f, 0.619141f, 0.826172f, 0.837402f, - 0.837891f, 0.837402f, 0.835449f, 0.833984f, 0.001134f, 0.003105f, 0.005337f, 0.007462f, 0.009628f, 0.011833f, 0.014137f, 0.016113f, - 0.018875f, 0.021484f, 0.024063f, 0.026581f, 0.029709f, 0.032623f, 0.036194f, 0.039703f, 0.043335f, 0.047058f, 0.051422f, 0.055908f, - 0.060608f, 0.065491f, 0.071167f, 0.076843f, 0.083313f, 0.089661f, 0.097168f, 0.104492f, 0.112122f, 0.121155f, 0.130615f, 0.140137f, - 0.150757f, 0.161499f, 0.173462f, 0.185547f, 0.199341f, 0.212524f, 0.227051f, 0.242310f, 0.258057f, 0.274414f, 0.291016f, 0.309082f, - 0.327148f, 0.345459f, 0.364990f, 0.384521f, 0.404297f, 0.425781f, 0.445801f, 0.467285f, 0.489258f, 0.510254f, 0.533203f, 0.555664f, - 0.578125f, 0.601074f, 0.817871f, 0.830078f, 0.831055f, 0.830078f, 0.829102f, 0.828125f, 0.001101f, 0.003019f, 0.004818f, 0.006725f, - 0.008781f, 0.010864f, 0.013069f, 0.014801f, 0.017151f, 0.019531f, 0.021973f, 0.024429f, 0.026917f, 0.030121f, 0.033112f, 0.036041f, - 0.039337f, 0.042542f, 0.046509f, 0.050537f, 0.054596f, 0.058990f, 0.064209f, 0.069519f, 0.075134f, 0.080994f, 0.087158f, 0.094177f, - 0.102051f, 0.109741f, 0.117981f, 0.127319f, 0.136963f, 0.147095f, 0.158081f, 0.169434f, 0.182251f, 0.195557f, 0.208984f, 0.223267f, - 0.238281f, 0.254639f, 0.270996f, 0.288330f, 0.305908f, 0.324219f, 0.343018f, 0.362549f, 0.382324f, 0.402832f, 0.424805f, 0.445312f, - 0.467529f, 0.489258f, 0.511230f, 0.535645f, 0.558594f, 0.582031f, 0.809082f, 0.822266f, 0.824219f, 0.823242f, 0.821777f, 0.820801f, - 0.000987f, 0.002644f, 0.004562f, 0.006344f, 0.008133f, 0.009918f, 0.011696f, 0.013527f, 0.015572f, 0.017746f, 0.019714f, 0.021942f, - 0.024155f, 0.027069f, 0.029678f, 0.032288f, 0.035156f, 0.038574f, 0.041779f, 0.045319f, 0.049225f, 0.053284f, 0.057678f, 0.062225f, - 0.067505f, 0.072571f, 0.078613f, 0.084961f, 0.092041f, 0.098938f, 0.106506f, 0.115112f, 0.123779f, 0.133667f, 0.143311f, 0.154541f, - 0.165894f, 0.178345f, 0.191406f, 0.205200f, 0.219238f, 0.234985f, 0.250977f, 0.267578f, 0.284912f, 0.302734f, 0.321289f, 0.340332f, - 0.360352f, 0.380615f, 0.401611f, 0.423340f, 0.445312f, 0.467529f, 0.490967f, 0.514160f, 0.537598f, 0.561035f, 0.800293f, 0.814453f, - 0.815918f, 0.815918f, 0.814941f, 0.813965f, 0.000932f, 0.002567f, 0.004009f, 0.005722f, 0.007538f, 0.008812f, 0.010864f, 0.012413f, - 0.014290f, 0.015991f, 0.018051f, 0.019836f, 0.022247f, 0.024506f, 0.026520f, 0.029175f, 0.031769f, 0.034332f, 0.037689f, 0.040466f, - 0.043945f, 0.047607f, 0.051605f, 0.055817f, 0.060486f, 0.065125f, 0.070557f, 0.076111f, 0.081909f, 0.088806f, 0.095886f, 0.103210f, - 0.111755f, 0.120422f, 0.130249f, 0.140137f, 0.150513f, 0.162109f, 0.174561f, 0.187256f, 0.200928f, 0.215698f, 0.231323f, 0.246582f, - 0.264160f, 0.281982f, 0.299561f, 0.319092f, 0.338623f, 0.358643f, 0.379883f, 0.400879f, 0.423096f, 0.445557f, 0.468750f, 0.492188f, - 0.516113f, 0.541504f, 0.791016f, 0.805664f, 0.808105f, 0.808594f, 0.807129f, 0.806641f, 0.000871f, 0.002337f, 0.003727f, 0.005474f, - 0.006641f, 0.008377f, 0.009567f, 0.011154f, 0.012848f, 0.014610f, 0.016235f, 0.017960f, 0.019958f, 0.021729f, 0.023926f, 0.026154f, - 0.028351f, 0.030975f, 0.033722f, 0.036407f, 0.039459f, 0.042694f, 0.046082f, 0.049896f, 0.053833f, 0.058167f, 0.062744f, 0.067932f, - 0.073608f, 0.079468f, 0.085632f, 0.092651f, 0.100098f, 0.108521f, 0.116699f, 0.126099f, 0.136108f, 0.146606f, 0.157959f, 0.170410f, - 0.183594f, 0.197510f, 0.212280f, 0.227295f, 0.243652f, 0.260986f, 0.278564f, 0.297607f, 0.316406f, 0.336426f, 0.357178f, 0.378662f, - 0.400146f, 0.422852f, 0.446045f, 0.470215f, 0.494873f, 0.520020f, 0.781250f, 0.796875f, 0.800293f, 0.800781f, 0.799805f, 0.799316f, - 0.000782f, 0.002131f, 0.003649f, 0.004715f, 0.006054f, 0.007458f, 0.008759f, 0.010269f, 0.011711f, 0.012970f, 0.014664f, 0.016327f, - 0.017914f, 0.019699f, 0.021423f, 0.023499f, 0.025391f, 0.027374f, 0.029999f, 0.032501f, 0.035156f, 0.037872f, 0.040710f, 0.044403f, - 0.047791f, 0.051880f, 0.055969f, 0.060364f, 0.065247f, 0.070496f, 0.076172f, 0.082825f, 0.089294f, 0.096497f, 0.104431f, 0.112854f, - 0.122375f, 0.132202f, 0.142700f, 0.153931f, 0.166260f, 0.179565f, 0.193481f, 0.208008f, 0.223877f, 0.240479f, 0.257568f, 0.275879f, - 0.294922f, 0.314453f, 0.334961f, 0.355957f, 0.377686f, 0.400391f, 0.423828f, 0.448730f, 0.472900f, 0.498535f, 0.771484f, 0.789062f, - 0.791504f, 0.792480f, 0.791016f, 0.791016f, 0.000742f, 0.001822f, 0.003183f, 0.004444f, 0.005600f, 0.006550f, 0.008087f, 0.009247f, - 0.010559f, 0.011650f, 0.013184f, 0.014565f, 0.016083f, 0.017548f, 0.019119f, 0.020737f, 0.022644f, 0.024597f, 0.026627f, 0.028809f, - 0.031281f, 0.033539f, 0.036469f, 0.039429f, 0.042480f, 0.045654f, 0.049561f, 0.053406f, 0.057739f, 0.062469f, 0.067749f, 0.073364f, - 0.079773f, 0.086121f, 0.093262f, 0.100647f, 0.109253f, 0.118042f, 0.128174f, 0.138550f, 0.150024f, 0.162231f, 0.175171f, 0.189087f, - 0.204468f, 0.220215f, 0.236938f, 0.254639f, 0.273438f, 0.292236f, 0.312012f, 0.333252f, 0.355957f, 0.377686f, 0.401367f, 0.425781f, - 0.451416f, 0.476318f, 0.761230f, 0.779785f, 0.782227f, 0.782715f, 0.782715f, 0.782715f, 0.000632f, 0.001970f, 0.003042f, 0.004025f, - 0.005173f, 0.006435f, 0.007343f, 0.008522f, 0.009369f, 0.010475f, 0.011726f, 0.012962f, 0.014145f, 0.015411f, 0.016922f, 0.018478f, - 0.020111f, 0.021835f, 0.023682f, 0.025253f, 0.027466f, 0.029678f, 0.032196f, 0.034607f, 0.037415f, 0.040497f, 0.043610f, 0.047089f, - 0.051178f, 0.055573f, 0.059845f, 0.064758f, 0.070068f, 0.076111f, 0.082275f, 0.089417f, 0.096863f, 0.105286f, 0.114441f, 0.123535f, - 0.134399f, 0.145508f, 0.157959f, 0.171387f, 0.185425f, 0.200806f, 0.216919f, 0.233521f, 0.251953f, 0.270508f, 0.290527f, 0.310791f, - 0.332275f, 0.355469f, 0.378418f, 0.403564f, 0.428223f, 0.455322f, 0.750977f, 0.770996f, 0.774414f, 0.774414f, 0.774902f, 0.773926f, - 0.000517f, 0.001554f, 0.002741f, 0.003695f, 0.004669f, 0.005417f, 0.006466f, 0.007545f, 0.008453f, 0.009499f, 0.010468f, 0.011490f, - 0.012718f, 0.013985f, 0.014977f, 0.016235f, 0.017868f, 0.019211f, 0.020630f, 0.022263f, 0.024078f, 0.026291f, 0.028275f, 0.030380f, - 0.032928f, 0.035675f, 0.038513f, 0.041656f, 0.044769f, 0.048523f, 0.052216f, 0.057007f, 0.061493f, 0.066711f, 0.072510f, 0.078735f, - 0.085327f, 0.093201f, 0.101135f, 0.109619f, 0.119690f, 0.130371f, 0.141602f, 0.154053f, 0.167480f, 0.181396f, 0.197021f, 0.213623f, - 0.230835f, 0.248901f, 0.268066f, 0.289062f, 0.310303f, 0.332520f, 0.355225f, 0.379639f, 0.405273f, 0.432373f, 0.740234f, 0.760742f, - 0.763672f, 0.765625f, 0.765625f, 0.765625f, 0.000588f, 0.001405f, 0.002306f, 0.003370f, 0.004375f, 0.005116f, 0.005817f, 0.006630f, - 0.007797f, 0.008507f, 0.009216f, 0.010254f, 0.011246f, 0.012154f, 0.013191f, 0.014366f, 0.015503f, 0.016785f, 0.018127f, 0.019562f, - 0.021072f, 0.022919f, 0.024643f, 0.026749f, 0.028564f, 0.031006f, 0.033203f, 0.036072f, 0.039032f, 0.042114f, 0.045654f, 0.049561f, - 0.053650f, 0.058380f, 0.063049f, 0.068848f, 0.075256f, 0.081543f, 0.088562f, 0.096924f, 0.105652f, 0.115173f, 0.125977f, 0.137207f, - 0.149902f, 0.163208f, 0.177979f, 0.193726f, 0.210205f, 0.228027f, 0.247070f, 0.266602f, 0.287842f, 0.309326f, 0.333008f, 0.356934f, - 0.382568f, 0.408691f, 0.729004f, 0.751953f, 0.755371f, 0.756348f, 0.757324f, 0.756348f, 0.000431f, 0.001562f, 0.002253f, 0.003088f, - 0.003944f, 0.004536f, 0.005066f, 0.006020f, 0.006840f, 0.007542f, 0.008347f, 0.008949f, 0.009827f, 0.010719f, 0.011696f, 0.012756f, - 0.013649f, 0.014679f, 0.015808f, 0.017288f, 0.018356f, 0.019913f, 0.021332f, 0.023148f, 0.024719f, 0.026840f, 0.029007f, 0.031250f, - 0.033661f, 0.036469f, 0.039490f, 0.042969f, 0.046326f, 0.050293f, 0.054901f, 0.059845f, 0.064941f, 0.071289f, 0.077454f, 0.084656f, - 0.092529f, 0.101562f, 0.111145f, 0.121460f, 0.132935f, 0.145386f, 0.159302f, 0.174438f, 0.190186f, 0.206909f, 0.225098f, 0.244751f, - 0.265381f, 0.287109f, 0.310059f, 0.333984f, 0.359131f, 0.386230f, 0.716797f, 0.740723f, 0.744629f, 0.746582f, 0.747070f, 0.747070f, - 0.000576f, 0.001266f, 0.002028f, 0.002766f, 0.003317f, 0.004051f, 0.004742f, 0.005459f, 0.006054f, 0.006641f, 0.007240f, 0.007919f, - 0.008644f, 0.009300f, 0.010170f, 0.010925f, 0.011795f, 0.012733f, 0.013855f, 0.014885f, 0.015900f, 0.017212f, 0.018326f, 0.019684f, - 0.021469f, 0.023178f, 0.024734f, 0.026794f, 0.028946f, 0.031204f, 0.033844f, 0.036682f, 0.039948f, 0.043335f, 0.047150f, 0.051422f, - 0.055969f, 0.061066f, 0.067139f, 0.073242f, 0.080444f, 0.088440f, 0.096985f, 0.106445f, 0.116943f, 0.128906f, 0.141479f, 0.154907f, - 0.170410f, 0.186523f, 0.204102f, 0.222900f, 0.243774f, 0.264160f, 0.286865f, 0.310791f, 0.336182f, 0.362793f, 0.705078f, 0.730469f, - 0.735352f, 0.736816f, 0.737793f, 0.736816f, 0.000307f, 0.001126f, 0.001758f, 0.002436f, 0.002911f, 0.003540f, 0.004047f, 0.004711f, - 0.005245f, 0.005749f, 0.006302f, 0.006844f, 0.007355f, 0.008095f, 0.008835f, 0.009438f, 0.010139f, 0.010941f, 0.011963f, 0.012878f, - 0.013519f, 0.014847f, 0.015945f, 0.017029f, 0.018250f, 0.019669f, 0.021362f, 0.022675f, 0.024750f, 0.026657f, 0.028854f, 0.031219f, - 0.033844f, 0.036804f, 0.040222f, 0.043793f, 0.047791f, 0.052185f, 0.057251f, 0.062866f, 0.069275f, 0.075867f, 0.083923f, 0.092407f, - 0.102295f, 0.112366f, 0.124207f, 0.137085f, 0.151489f, 0.167114f, 0.183838f, 0.202148f, 0.221558f, 0.242065f, 0.263916f, 0.287842f, - 0.312256f, 0.339111f, 0.693848f, 0.719727f, 0.724609f, 0.726074f, 0.727539f, 0.727051f, 0.000428f, 0.000939f, 0.001581f, 0.002033f, - 0.002665f, 0.003222f, 0.003660f, 0.004059f, 0.004475f, 0.004997f, 0.005554f, 0.006031f, 0.006371f, 0.007080f, 0.007511f, 0.008263f, - 0.008820f, 0.009552f, 0.010124f, 0.010948f, 0.011665f, 0.012550f, 0.013397f, 0.014526f, 0.015388f, 0.016754f, 0.017960f, 0.019257f, - 0.020844f, 0.022583f, 0.024246f, 0.026642f, 0.028656f, 0.031128f, 0.033783f, 0.036865f, 0.040253f, 0.044312f, 0.048523f, 0.053314f, - 0.058655f, 0.064880f, 0.071594f, 0.079102f, 0.087891f, 0.097107f, 0.108276f, 0.119751f, 0.133179f, 0.148071f, 0.163818f, 0.180908f, - 0.199951f, 0.219849f, 0.241699f, 0.264160f, 0.288818f, 0.315918f, 0.680176f, 0.708496f, 0.713867f, 0.716309f, 0.716797f, 0.717285f, - 0.000467f, 0.001054f, 0.001476f, 0.001825f, 0.002386f, 0.002644f, 0.003218f, 0.003553f, 0.003866f, 0.004433f, 0.004700f, 0.004948f, - 0.005505f, 0.006023f, 0.006405f, 0.006920f, 0.007484f, 0.008057f, 0.008598f, 0.009178f, 0.009857f, 0.010551f, 0.011169f, 0.012199f, - 0.013092f, 0.014084f, 0.015091f, 0.016205f, 0.017303f, 0.018845f, 0.020538f, 0.021957f, 0.023773f, 0.025833f, 0.028152f, 0.030716f, - 0.033661f, 0.036896f, 0.040405f, 0.044708f, 0.049286f, 0.054321f, 0.060333f, 0.067322f, 0.074890f, 0.083435f, 0.092651f, 0.103516f, - 0.115784f, 0.129028f, 0.144287f, 0.160278f, 0.178345f, 0.197632f, 0.218994f, 0.241089f, 0.265869f, 0.292725f, 0.667969f, 0.697266f, - 0.702637f, 0.704590f, 0.706055f, 0.707031f, 0.000348f, 0.000841f, 0.001292f, 0.001580f, 0.001961f, 0.002508f, 0.002630f, 0.002993f, - 0.003458f, 0.003738f, 0.003952f, 0.004425f, 0.004639f, 0.005070f, 0.005547f, 0.005840f, 0.006462f, 0.006844f, 0.007214f, 0.007698f, - 0.008339f, 0.008980f, 0.009560f, 0.010094f, 0.010941f, 0.011711f, 0.012550f, 0.013565f, 0.014404f, 0.015579f, 0.016754f, 0.018082f, - 0.019592f, 0.021439f, 0.023209f, 0.025375f, 0.027863f, 0.030411f, 0.033478f, 0.037018f, 0.040680f, 0.045105f, 0.050476f, 0.056183f, - 0.062805f, 0.070251f, 0.078613f, 0.088196f, 0.099060f, 0.111450f, 0.125122f, 0.140869f, 0.158203f, 0.176880f, 0.197266f, 0.218506f, - 0.242798f, 0.268555f, 0.655273f, 0.686035f, 0.691406f, 0.694336f, 0.695312f, 0.695801f, 0.000170f, 0.000976f, 0.001161f, 0.001441f, - 0.001846f, 0.002144f, 0.002367f, 0.002632f, 0.002892f, 0.003178f, 0.003435f, 0.003618f, 0.004021f, 0.004292f, 0.004562f, 0.005028f, - 0.005405f, 0.005623f, 0.006069f, 0.006577f, 0.006973f, 0.007431f, 0.007904f, 0.008484f, 0.009018f, 0.009659f, 0.010559f, 0.010994f, - 0.012009f, 0.012840f, 0.013901f, 0.014915f, 0.016129f, 0.017502f, 0.019089f, 0.020676f, 0.022568f, 0.024673f, 0.027252f, 0.029984f, - 0.033234f, 0.037079f, 0.041016f, 0.045868f, 0.051758f, 0.058014f, 0.065613f, 0.073853f, 0.083801f, 0.094727f, 0.107483f, 0.121826f, - 0.137573f, 0.156006f, 0.175049f, 0.196167f, 0.219482f, 0.245850f, 0.641113f, 0.673340f, 0.679688f, 0.681641f, 0.683594f, 0.684082f, - 0.000293f, 0.000601f, 0.001049f, 0.001358f, 0.001532f, 0.001719f, 0.001882f, 0.002298f, 0.002317f, 0.002628f, 0.002750f, 0.003143f, - 0.003363f, 0.003559f, 0.003866f, 0.004204f, 0.004383f, 0.004753f, 0.005028f, 0.005348f, 0.005863f, 0.006176f, 0.006569f, 0.006954f, - 0.007401f, 0.008057f, 0.008537f, 0.009178f, 0.009735f, 0.010521f, 0.011208f, 0.011978f, 0.013130f, 0.014099f, 0.015289f, 0.016739f, - 0.018219f, 0.019821f, 0.021713f, 0.024200f, 0.026749f, 0.029785f, 0.033386f, 0.036987f, 0.041840f, 0.047089f, 0.053253f, 0.060760f, - 0.069214f, 0.079224f, 0.090515f, 0.103638f, 0.118652f, 0.135376f, 0.154175f, 0.174561f, 0.196777f, 0.222534f, 0.628906f, 0.660645f, - 0.668457f, 0.670410f, 0.672852f, 0.673340f, 0.000258f, 0.000656f, 0.000811f, 0.001049f, 0.001288f, 0.001462f, 0.001599f, 0.001740f, - 0.002012f, 0.002171f, 0.002367f, 0.002535f, 0.002705f, 0.002880f, 0.003115f, 0.003429f, 0.003666f, 0.003897f, 0.004116f, 0.004398f, - 0.004635f, 0.005066f, 0.005341f, 0.005779f, 0.006042f, 0.006454f, 0.006954f, 0.007450f, 0.007835f, 0.008400f, 0.009132f, 0.009819f, - 0.010536f, 0.011307f, 0.012245f, 0.013229f, 0.014580f, 0.015900f, 0.017303f, 0.019119f, 0.021103f, 0.023468f, 0.026123f, 0.029495f, - 0.033112f, 0.037628f, 0.042938f, 0.048859f, 0.056152f, 0.064941f, 0.074829f, 0.086548f, 0.100281f, 0.115967f, 0.133545f, 0.153198f, - 0.175171f, 0.199341f, 0.613770f, 0.648926f, 0.655273f, 0.658691f, 0.660645f, 0.662598f, 0.000176f, 0.000474f, 0.000602f, 0.000854f, - 0.001030f, 0.001240f, 0.001349f, 0.001505f, 0.001580f, 0.001738f, 0.001957f, 0.002068f, 0.002230f, 0.002420f, 0.002556f, 0.002705f, - 0.002998f, 0.003178f, 0.003345f, 0.003567f, 0.003811f, 0.004105f, 0.004284f, 0.004593f, 0.004848f, 0.005173f, 0.005527f, 0.005939f, - 0.006306f, 0.006817f, 0.007366f, 0.007729f, 0.008339f, 0.008995f, 0.009644f, 0.010551f, 0.011360f, 0.012344f, 0.013710f, 0.015030f, - 0.016510f, 0.018143f, 0.020279f, 0.022751f, 0.025650f, 0.029144f, 0.033508f, 0.038452f, 0.044556f, 0.052032f, 0.060364f, 0.070923f, - 0.082642f, 0.097290f, 0.113525f, 0.132446f, 0.153442f, 0.176880f, 0.600586f, 0.636719f, 0.644531f, 0.647461f, 0.648926f, 0.649414f, - 0.000121f, 0.000426f, 0.000509f, 0.000778f, 0.000931f, 0.000992f, 0.001135f, 0.001303f, 0.001359f, 0.001410f, 0.001519f, 0.001722f, - 0.001751f, 0.001951f, 0.002060f, 0.002218f, 0.002287f, 0.002487f, 0.002670f, 0.002848f, 0.003061f, 0.003233f, 0.003452f, 0.003664f, - 0.003883f, 0.004078f, 0.004379f, 0.004692f, 0.004982f, 0.005329f, 0.005756f, 0.006081f, 0.006504f, 0.007019f, 0.007599f, 0.008217f, - 0.008850f, 0.009628f, 0.010437f, 0.011597f, 0.012650f, 0.013931f, 0.015480f, 0.017380f, 0.019577f, 0.022247f, 0.025513f, 0.029617f, - 0.034363f, 0.040314f, 0.047241f, 0.056274f, 0.066711f, 0.079773f, 0.094482f, 0.112488f, 0.132446f, 0.154907f, 0.585449f, 0.624023f, - 0.630371f, 0.634277f, 0.636230f, 0.637207f, 0.000161f, 0.000263f, 0.000526f, 0.000627f, 0.000723f, 0.000775f, 0.000856f, 0.000960f, - 0.001079f, 0.001158f, 0.001208f, 0.001272f, 0.001441f, 0.001557f, 0.001657f, 0.001702f, 0.001897f, 0.001918f, 0.002151f, 0.002232f, - 0.002337f, 0.002522f, 0.002720f, 0.002865f, 0.003029f, 0.003193f, 0.003387f, 0.003601f, 0.003887f, 0.004124f, 0.004356f, 0.004639f, - 0.005070f, 0.005466f, 0.005863f, 0.006298f, 0.006874f, 0.007290f, 0.007965f, 0.008774f, 0.009560f, 0.010666f, 0.011719f, 0.013077f, - 0.014679f, 0.016693f, 0.019058f, 0.021881f, 0.025528f, 0.030121f, 0.036011f, 0.043396f, 0.052460f, 0.063477f, 0.076721f, 0.093079f, - 0.112305f, 0.133667f, 0.572266f, 0.609375f, 0.618164f, 0.622070f, 0.623535f, 0.625488f, 0.000109f, 0.000212f, 0.000404f, 0.000578f, - 0.000567f, 0.000655f, 0.000763f, 0.000676f, 0.000824f, 0.000869f, 0.000971f, 0.001064f, 0.001132f, 0.001210f, 0.001212f, 0.001398f, - 0.001486f, 0.001525f, 0.001653f, 0.001676f, 0.001867f, 0.001953f, 0.002062f, 0.002199f, 0.002295f, 0.002443f, 0.002586f, 0.002766f, - 0.002979f, 0.003128f, 0.003429f, 0.003551f, 0.003763f, 0.004074f, 0.004349f, 0.004688f, 0.005032f, 0.005470f, 0.005894f, 0.006519f, - 0.007092f, 0.007896f, 0.008629f, 0.009659f, 0.010910f, 0.012215f, 0.013962f, 0.015991f, 0.018646f, 0.021881f, 0.026428f, 0.032074f, - 0.039276f, 0.048645f, 0.060455f, 0.075256f, 0.092773f, 0.113220f, 0.554688f, 0.596191f, 0.605957f, 0.608887f, 0.610352f, 0.612305f, - 0.000202f, 0.000186f, 0.000312f, 0.000433f, 0.000382f, 0.000543f, 0.000482f, 0.000546f, 0.000621f, 0.000666f, 0.000789f, 0.000802f, - 0.000859f, 0.000950f, 0.000970f, 0.000975f, 0.001113f, 0.001162f, 0.001207f, 0.001312f, 0.001362f, 0.001433f, 0.001541f, 0.001618f, - 0.001720f, 0.001791f, 0.001966f, 0.002035f, 0.002199f, 0.002413f, 0.002546f, 0.002626f, 0.002855f, 0.003063f, 0.003204f, 0.003448f, - 0.003693f, 0.003986f, 0.004364f, 0.004684f, 0.005127f, 0.005619f, 0.006271f, 0.006870f, 0.007748f, 0.008713f, 0.009911f, 0.011368f, - 0.013191f, 0.015518f, 0.018646f, 0.022644f, 0.028107f, 0.035645f, 0.045471f, 0.058502f, 0.074646f, 0.093994f, 0.541016f, 0.583008f, - 0.591797f, 0.596191f, 0.599121f, 0.600098f, 0.000000f, 0.000179f, 0.000242f, 0.000318f, 0.000341f, 0.000345f, 0.000432f, 0.000364f, - 0.000475f, 0.000483f, 0.000572f, 0.000576f, 0.000619f, 0.000640f, 0.000716f, 0.000737f, 0.000791f, 0.000845f, 0.000871f, 0.000907f, - 0.000998f, 0.001025f, 0.001107f, 0.001181f, 0.001244f, 0.001303f, 0.001391f, 0.001462f, 0.001549f, 0.001631f, 0.001756f, 0.001906f, - 0.001984f, 0.002161f, 0.002264f, 0.002419f, 0.002613f, 0.002825f, 0.003103f, 0.003321f, 0.003584f, 0.003893f, 0.004349f, 0.004799f, - 0.005383f, 0.006020f, 0.006836f, 0.007858f, 0.009117f, 0.010674f, 0.012825f, 0.015533f, 0.019363f, 0.024780f, 0.032593f, 0.043274f, - 0.057770f, 0.076111f, 0.525879f, 0.569336f, 0.578613f, 0.583008f, 0.585449f, 0.586426f, 0.000000f, 0.000088f, 0.000192f, 0.000227f, - 0.000230f, 0.000286f, 0.000255f, 0.000317f, 0.000321f, 0.000371f, 0.000401f, 0.000373f, 0.000391f, 0.000457f, 0.000474f, 0.000530f, - 0.000509f, 0.000585f, 0.000625f, 0.000664f, 0.000707f, 0.000746f, 0.000772f, 0.000817f, 0.000877f, 0.000887f, 0.000978f, 0.001007f, - 0.001069f, 0.001202f, 0.001192f, 0.001290f, 0.001356f, 0.001464f, 0.001583f, 0.001678f, 0.001771f, 0.001929f, 0.002050f, 0.002230f, - 0.002424f, 0.002651f, 0.002888f, 0.003176f, 0.003534f, 0.003967f, 0.004475f, 0.005154f, 0.005993f, 0.007118f, 0.008469f, 0.010338f, - 0.012794f, 0.016403f, 0.021957f, 0.030090f, 0.042419f, 0.059052f, 0.510254f, 0.554199f, 0.564453f, 0.570312f, 0.572754f, 0.573242f, - 0.000000f, 0.000126f, 0.000180f, 0.000121f, 0.000178f, 0.000176f, 0.000177f, 0.000212f, 0.000210f, 0.000228f, 0.000238f, 0.000291f, - 0.000280f, 0.000298f, 0.000336f, 0.000350f, 0.000369f, 0.000387f, 0.000395f, 0.000427f, 0.000460f, 0.000476f, 0.000515f, 0.000536f, - 0.000573f, 0.000619f, 0.000650f, 0.000670f, 0.000703f, 0.000746f, 0.000798f, 0.000836f, 0.000902f, 0.000949f, 0.001031f, 0.001062f, - 0.001162f, 0.001227f, 0.001349f, 0.001442f, 0.001533f, 0.001690f, 0.001865f, 0.001995f, 0.002228f, 0.002495f, 0.002800f, 0.003191f, - 0.003653f, 0.004349f, 0.005203f, 0.006393f, 0.008026f, 0.010307f, 0.013710f, 0.019379f, 0.028854f, 0.043457f, 0.494873f, 0.541016f, - 0.550781f, 0.555664f, 0.558105f, 0.559570f, 0.000000f, 0.000095f, 0.000086f, 0.000079f, 0.000105f, 0.000124f, 0.000111f, 0.000137f, - 0.000141f, 0.000142f, 0.000147f, 0.000151f, 0.000160f, 0.000181f, 0.000202f, 0.000207f, 0.000214f, 0.000248f, 0.000244f, 0.000282f, - 0.000273f, 0.000283f, 0.000306f, 0.000334f, 0.000367f, 0.000378f, 0.000376f, 0.000399f, 0.000437f, 0.000459f, 0.000474f, 0.000516f, - 0.000552f, 0.000567f, 0.000616f, 0.000649f, 0.000693f, 0.000743f, 0.000805f, 0.000851f, 0.000918f, 0.000999f, 0.001085f, 0.001195f, - 0.001309f, 0.001466f, 0.001644f, 0.001850f, 0.002151f, 0.002487f, 0.002974f, 0.003654f, 0.004574f, 0.006001f, 0.008156f, 0.011452f, - 0.017853f, 0.029739f, 0.478271f, 0.526367f, 0.537109f, 0.541504f, 0.544434f, 0.545898f, 0.000106f, 0.000085f, 0.000074f, 0.000067f, - 0.000066f, 0.000070f, 0.000069f, 0.000073f, 0.000073f, 0.000080f, 0.000084f, 0.000109f, 0.000093f, 0.000098f, 0.000119f, 0.000108f, - 0.000128f, 0.000135f, 0.000137f, 0.000149f, 0.000150f, 0.000157f, 0.000182f, 0.000185f, 0.000207f, 0.000206f, 0.000214f, 0.000234f, - 0.000237f, 0.000253f, 0.000267f, 0.000289f, 0.000306f, 0.000313f, 0.000344f, 0.000352f, 0.000384f, 0.000406f, 0.000445f, 0.000467f, - 0.000503f, 0.000543f, 0.000593f, 0.000634f, 0.000697f, 0.000764f, 0.000850f, 0.000963f, 0.001105f, 0.001298f, 0.001536f, 0.001856f, - 0.002333f, 0.003069f, 0.004299f, 0.006271f, 0.009789f, 0.018234f, 0.462402f, 0.511719f, 0.522949f, 0.527344f, 0.530762f, 0.532715f, - 0.000091f, 0.000069f, 0.000060f, 0.000054f, 0.000049f, 0.000046f, 0.000043f, 0.000041f, 0.000040f, 0.000044f, 0.000040f, 0.000040f, - 0.000054f, 0.000044f, 0.000045f, 0.000044f, 0.000062f, 0.000062f, 0.000069f, 0.000071f, 0.000074f, 0.000079f, 0.000081f, 0.000081f, - 0.000085f, 0.000099f, 0.000098f, 0.000115f, 0.000115f, 0.000119f, 0.000125f, 0.000130f, 0.000140f, 0.000144f, 0.000165f, 0.000172f, - 0.000178f, 0.000191f, 0.000205f, 0.000222f, 0.000234f, 0.000251f, 0.000276f, 0.000293f, 0.000327f, 0.000354f, 0.000392f, 0.000437f, - 0.000494f, 0.000562f, 0.000662f, 0.000800f, 0.001005f, 0.001315f, 0.001852f, 0.002825f, 0.004723f, 0.009285f, 0.446533f, 0.497803f, - 0.508301f, 0.514160f, 0.516602f, 0.519043f, 0.000067f, 0.000048f, 0.000040f, 0.000036f, 0.000033f, 0.000031f, 0.000030f, 0.000028f, - 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000020f, 0.000024f, 0.000026f, - 0.000025f, 0.000027f, 0.000031f, 0.000032f, 0.000032f, 0.000037f, 0.000041f, 0.000038f, 0.000045f, 0.000042f, 0.000048f, 0.000049f, - 0.000053f, 0.000055f, 0.000059f, 0.000062f, 0.000071f, 0.000074f, 0.000077f, 0.000081f, 0.000086f, 0.000091f, 0.000098f, 0.000109f, - 0.000116f, 0.000125f, 0.000137f, 0.000158f, 0.000173f, 0.000193f, 0.000230f, 0.000273f, 0.000335f, 0.000425f, 0.000603f, 0.000935f, - 0.001694f, 0.003727f, 0.431396f, 0.481934f, 0.493652f, 0.499512f, 0.502930f, 0.504883f, 0.000021f, 0.000016f, 0.000013f, 0.000012f, - 0.000013f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, - 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, - 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000013f, 0.000014f, 0.000013f, 0.000015f, 0.000016f, 0.000017f, 0.000019f, - 0.000019f, 0.000020f, 0.000023f, 0.000026f, 0.000027f, 0.000027f, 0.000032f, 0.000030f, 0.000036f, 0.000039f, 0.000050f, 0.000056f, - 0.000063f, 0.000082f, 0.000109f, 0.000168f, 0.000317f, 0.000922f, 0.415283f, 0.467773f, 0.479980f, 0.486328f, 0.489014f, 0.490723f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000005f, 0.000008f, 0.000026f, 0.398926f, 0.452881f, - 0.465576f, 0.471436f, 0.474854f, 0.477051f, - }, - { - 0.019653f, 0.058990f, 0.097473f, 0.134277f, 0.169189f, 0.203491f, 0.236450f, 0.267578f, 0.297852f, 0.326416f, 0.354004f, 0.380859f, - 0.406250f, 0.431641f, 0.455078f, 0.477539f, 0.500000f, 0.520996f, 0.541504f, 0.560547f, 0.580566f, 0.598633f, 0.615723f, 0.633301f, - 0.649902f, 0.666016f, 0.681641f, 0.695801f, 0.709961f, 0.724609f, 0.738770f, 0.751953f, 0.765137f, 0.775879f, 0.788574f, 0.799805f, - 0.812012f, 0.822754f, 0.833496f, 0.844238f, 0.854004f, 0.864258f, 0.874023f, 0.883301f, 0.891602f, 0.900391f, 0.909668f, 0.917969f, - 0.925781f, 0.934570f, 0.941895f, 0.949707f, 0.956543f, 0.963379f, 0.970703f, 0.977539f, 0.984863f, 0.991211f, 0.988770f, 0.972656f, - 0.960449f, 0.949707f, 0.940430f, 0.931641f, 0.017303f, 0.052399f, 0.086548f, 0.119446f, 0.153076f, 0.183594f, 0.214722f, 0.245117f, - 0.273193f, 0.301270f, 0.328613f, 0.354492f, 0.379883f, 0.404541f, 0.427979f, 0.450195f, 0.472656f, 0.494629f, 0.515137f, 0.534668f, - 0.554199f, 0.573242f, 0.591309f, 0.608887f, 0.625977f, 0.642578f, 0.658203f, 0.672852f, 0.688477f, 0.704102f, 0.717285f, 0.731445f, - 0.744629f, 0.756836f, 0.769531f, 0.782715f, 0.793945f, 0.805664f, 0.816406f, 0.828125f, 0.838379f, 0.849121f, 0.858887f, 0.868652f, - 0.877930f, 0.888184f, 0.896973f, 0.905762f, 0.915039f, 0.921875f, 0.930176f, 0.937988f, 0.946777f, 0.954102f, 0.960938f, 0.968750f, - 0.975586f, 0.982422f, 0.984375f, 0.969238f, 0.957520f, 0.947754f, 0.938477f, 0.930176f, 0.015221f, 0.045837f, 0.076843f, 0.107666f, - 0.136719f, 0.166504f, 0.196045f, 0.223999f, 0.250244f, 0.278320f, 0.303711f, 0.329346f, 0.353271f, 0.378906f, 0.401367f, 0.424316f, - 0.447266f, 0.468018f, 0.487793f, 0.508301f, 0.529297f, 0.547363f, 0.566406f, 0.583984f, 0.601562f, 0.618652f, 0.634766f, 0.650879f, - 0.666016f, 0.681641f, 0.695801f, 0.710449f, 0.724121f, 0.737305f, 0.750488f, 0.762695f, 0.775391f, 0.788086f, 0.799316f, 0.811035f, - 0.821777f, 0.833008f, 0.844238f, 0.854004f, 0.864258f, 0.874023f, 0.882812f, 0.892578f, 0.901367f, 0.910156f, 0.918457f, 0.926758f, - 0.936035f, 0.942871f, 0.950684f, 0.958496f, 0.965820f, 0.973145f, 0.980469f, 0.965820f, 0.955078f, 0.945312f, 0.936523f, 0.928223f, - 0.013420f, 0.041138f, 0.068359f, 0.096436f, 0.124023f, 0.150879f, 0.177246f, 0.204224f, 0.230103f, 0.255859f, 0.281494f, 0.305420f, - 0.329834f, 0.352783f, 0.376709f, 0.398682f, 0.420654f, 0.442627f, 0.462646f, 0.483887f, 0.502441f, 0.521484f, 0.540527f, 0.559082f, - 0.576172f, 0.595703f, 0.611328f, 0.627930f, 0.644043f, 0.659668f, 0.674316f, 0.688965f, 0.703613f, 0.717285f, 0.730957f, 0.744629f, - 0.756836f, 0.770020f, 0.781738f, 0.793945f, 0.805176f, 0.816895f, 0.828125f, 0.838379f, 0.849121f, 0.859375f, 0.869141f, 0.878418f, - 0.888184f, 0.897461f, 0.906738f, 0.915039f, 0.923828f, 0.932129f, 0.940430f, 0.947754f, 0.956543f, 0.963867f, 0.976074f, 0.962402f, - 0.951660f, 0.942383f, 0.934082f, 0.926758f, 0.012001f, 0.036591f, 0.061737f, 0.086670f, 0.112000f, 0.136719f, 0.161743f, 0.186768f, - 0.211792f, 0.235840f, 0.259521f, 0.283203f, 0.307129f, 0.329590f, 0.352295f, 0.374268f, 0.395996f, 0.416992f, 0.437744f, 0.457520f, - 0.477295f, 0.497314f, 0.515625f, 0.534180f, 0.553223f, 0.570312f, 0.588379f, 0.604492f, 0.621582f, 0.636719f, 0.653320f, 0.666992f, - 0.683105f, 0.697266f, 0.710449f, 0.724609f, 0.737793f, 0.750977f, 0.764160f, 0.775879f, 0.788086f, 0.799805f, 0.812012f, 0.823242f, - 0.833496f, 0.844238f, 0.854492f, 0.864746f, 0.875000f, 0.884277f, 0.894043f, 0.902832f, 0.911621f, 0.920898f, 0.929688f, 0.937500f, - 0.945801f, 0.953613f, 0.971191f, 0.958984f, 0.949219f, 0.939941f, 0.932129f, 0.924316f, 0.010612f, 0.032684f, 0.054810f, 0.077759f, - 0.100952f, 0.124023f, 0.146851f, 0.171021f, 0.193604f, 0.217163f, 0.239380f, 0.261963f, 0.284424f, 0.307129f, 0.328613f, 0.351318f, - 0.371826f, 0.392334f, 0.413574f, 0.432617f, 0.453613f, 0.472656f, 0.491943f, 0.510254f, 0.528320f, 0.546387f, 0.563965f, 0.580078f, - 0.598633f, 0.613770f, 0.629883f, 0.645996f, 0.661621f, 0.675293f, 0.688965f, 0.705078f, 0.718262f, 0.731934f, 0.745605f, 0.757812f, - 0.770996f, 0.782715f, 0.795410f, 0.807129f, 0.818359f, 0.829102f, 0.839844f, 0.851074f, 0.860840f, 0.871094f, 0.880859f, 0.891113f, - 0.900391f, 0.909668f, 0.917969f, 0.927246f, 0.935547f, 0.943848f, 0.966797f, 0.955566f, 0.945801f, 0.937012f, 0.929199f, 0.921875f, - 0.009483f, 0.029556f, 0.050140f, 0.070129f, 0.091797f, 0.112549f, 0.134155f, 0.156372f, 0.177368f, 0.198975f, 0.220825f, 0.243286f, - 0.263916f, 0.285645f, 0.306885f, 0.327393f, 0.348145f, 0.368896f, 0.389404f, 0.409424f, 0.429199f, 0.448730f, 0.467529f, 0.486572f, - 0.505371f, 0.522461f, 0.540039f, 0.558105f, 0.574219f, 0.591309f, 0.607422f, 0.623535f, 0.639648f, 0.654785f, 0.669922f, 0.685547f, - 0.698730f, 0.712891f, 0.726074f, 0.740234f, 0.752441f, 0.765625f, 0.778320f, 0.789551f, 0.802246f, 0.813477f, 0.825195f, 0.836426f, - 0.847168f, 0.856934f, 0.868164f, 0.877930f, 0.888184f, 0.897461f, 0.906738f, 0.915527f, 0.925293f, 0.935059f, 0.962402f, 0.951660f, - 0.942383f, 0.933594f, 0.926270f, 0.919434f, 0.008934f, 0.026581f, 0.044708f, 0.063354f, 0.082825f, 0.102844f, 0.122437f, 0.141968f, - 0.162720f, 0.183105f, 0.202515f, 0.224609f, 0.244995f, 0.265381f, 0.285645f, 0.306152f, 0.326416f, 0.346680f, 0.365967f, 0.385498f, - 0.406006f, 0.425293f, 0.444092f, 0.461914f, 0.480225f, 0.499268f, 0.517090f, 0.535156f, 0.552246f, 0.568359f, 0.585449f, 0.601562f, - 0.616699f, 0.633789f, 0.649414f, 0.663574f, 0.678711f, 0.693848f, 0.706543f, 0.721680f, 0.734375f, 0.746582f, 0.760742f, 0.773438f, - 0.786133f, 0.797852f, 0.809082f, 0.821777f, 0.832031f, 0.843262f, 0.854492f, 0.864746f, 0.875000f, 0.884766f, 0.895020f, 0.904785f, - 0.914062f, 0.922852f, 0.957520f, 0.947266f, 0.938965f, 0.930664f, 0.923340f, 0.916992f, 0.007668f, 0.024017f, 0.040405f, 0.057831f, - 0.075195f, 0.093079f, 0.111694f, 0.130127f, 0.148926f, 0.168213f, 0.187500f, 0.206543f, 0.226440f, 0.246460f, 0.265869f, 0.285400f, - 0.305176f, 0.324707f, 0.344238f, 0.363281f, 0.383057f, 0.401123f, 0.420166f, 0.439941f, 0.457764f, 0.475586f, 0.493164f, 0.511719f, - 0.528809f, 0.545898f, 0.562988f, 0.579590f, 0.596191f, 0.612305f, 0.627441f, 0.643555f, 0.658203f, 0.672363f, 0.687988f, 0.702637f, - 0.715332f, 0.728516f, 0.742676f, 0.756348f, 0.768555f, 0.781250f, 0.794434f, 0.806152f, 0.818359f, 0.828613f, 0.840332f, 0.851074f, - 0.861816f, 0.872559f, 0.882812f, 0.892578f, 0.903320f, 0.912598f, 0.952637f, 0.943848f, 0.935059f, 0.927246f, 0.920410f, 0.914062f, - 0.007263f, 0.021530f, 0.037048f, 0.052429f, 0.068909f, 0.084961f, 0.102112f, 0.119568f, 0.136475f, 0.154541f, 0.172852f, 0.191528f, - 0.209717f, 0.228638f, 0.246948f, 0.265869f, 0.284912f, 0.304199f, 0.322510f, 0.341309f, 0.360596f, 0.379639f, 0.397461f, 0.416504f, - 0.434570f, 0.452881f, 0.470947f, 0.489014f, 0.505859f, 0.523438f, 0.541016f, 0.557129f, 0.574219f, 0.590332f, 0.606445f, 0.622070f, - 0.637695f, 0.653809f, 0.667969f, 0.682129f, 0.697754f, 0.711426f, 0.724609f, 0.737793f, 0.750977f, 0.765625f, 0.777832f, 0.790039f, - 0.801270f, 0.813477f, 0.825684f, 0.837402f, 0.848145f, 0.859375f, 0.870117f, 0.880859f, 0.891602f, 0.900391f, 0.947754f, 0.938965f, - 0.931152f, 0.923828f, 0.917480f, 0.911133f, 0.006401f, 0.019730f, 0.033813f, 0.047729f, 0.062561f, 0.077515f, 0.093140f, 0.108948f, - 0.125366f, 0.141968f, 0.159058f, 0.175781f, 0.193726f, 0.212036f, 0.229980f, 0.247681f, 0.265869f, 0.284424f, 0.302734f, 0.320557f, - 0.339111f, 0.357910f, 0.376221f, 0.394287f, 0.412109f, 0.429688f, 0.448486f, 0.466064f, 0.483398f, 0.500977f, 0.517090f, 0.535156f, - 0.552246f, 0.568359f, 0.583984f, 0.600586f, 0.616699f, 0.632324f, 0.647949f, 0.662598f, 0.677246f, 0.692383f, 0.706543f, 0.719727f, - 0.734375f, 0.747070f, 0.761230f, 0.773926f, 0.786621f, 0.797852f, 0.811523f, 0.823242f, 0.834961f, 0.846680f, 0.857422f, 0.868652f, - 0.879395f, 0.890137f, 0.942383f, 0.934082f, 0.927246f, 0.919922f, 0.913574f, 0.908203f, 0.005836f, 0.018158f, 0.030746f, 0.043335f, - 0.057007f, 0.070801f, 0.085754f, 0.099548f, 0.115112f, 0.130127f, 0.146362f, 0.162354f, 0.178711f, 0.195801f, 0.212769f, 0.230103f, - 0.247925f, 0.264893f, 0.283203f, 0.300293f, 0.318604f, 0.336426f, 0.354492f, 0.372314f, 0.390137f, 0.408203f, 0.425537f, 0.443848f, - 0.461182f, 0.478271f, 0.496094f, 0.513184f, 0.529297f, 0.546387f, 0.563477f, 0.580566f, 0.595703f, 0.611816f, 0.626465f, 0.642090f, - 0.658691f, 0.671875f, 0.686523f, 0.702148f, 0.716797f, 0.729980f, 0.744629f, 0.757324f, 0.770020f, 0.783203f, 0.796875f, 0.808105f, - 0.820312f, 0.832520f, 0.844727f, 0.855957f, 0.867188f, 0.877930f, 0.937012f, 0.930176f, 0.922852f, 0.916504f, 0.910645f, 0.904785f, - 0.005486f, 0.016525f, 0.028030f, 0.039612f, 0.052185f, 0.064636f, 0.077576f, 0.091553f, 0.105347f, 0.119568f, 0.134521f, 0.149536f, - 0.164917f, 0.180664f, 0.197388f, 0.213623f, 0.230347f, 0.246826f, 0.264160f, 0.280518f, 0.298584f, 0.315674f, 0.334229f, 0.350830f, - 0.369141f, 0.386963f, 0.404053f, 0.422119f, 0.438477f, 0.456299f, 0.474121f, 0.491211f, 0.507812f, 0.524902f, 0.541504f, 0.557617f, - 0.574707f, 0.590820f, 0.606934f, 0.622559f, 0.637207f, 0.652832f, 0.668945f, 0.683105f, 0.698730f, 0.711914f, 0.726074f, 0.740723f, - 0.753906f, 0.766602f, 0.780273f, 0.792969f, 0.805664f, 0.818848f, 0.830566f, 0.842285f, 0.854492f, 0.866211f, 0.931641f, 0.925781f, - 0.918945f, 0.913086f, 0.907227f, 0.900879f, 0.004810f, 0.014847f, 0.025604f, 0.036621f, 0.047577f, 0.059174f, 0.071472f, 0.084106f, - 0.096985f, 0.109863f, 0.124146f, 0.137939f, 0.152954f, 0.167358f, 0.182495f, 0.197754f, 0.213745f, 0.230103f, 0.246216f, 0.262939f, - 0.279297f, 0.296387f, 0.313477f, 0.329834f, 0.348145f, 0.365479f, 0.382080f, 0.399658f, 0.417480f, 0.434082f, 0.452148f, 0.469238f, - 0.486084f, 0.502441f, 0.520020f, 0.536621f, 0.552734f, 0.569336f, 0.585938f, 0.601562f, 0.617676f, 0.632812f, 0.648438f, 0.664062f, - 0.679688f, 0.693848f, 0.708008f, 0.722656f, 0.735840f, 0.750488f, 0.765137f, 0.777832f, 0.791016f, 0.803711f, 0.816895f, 0.829102f, - 0.841309f, 0.853027f, 0.925781f, 0.921387f, 0.914551f, 0.908203f, 0.903320f, 0.897461f, 0.004494f, 0.013809f, 0.023331f, 0.033264f, - 0.043549f, 0.053833f, 0.065369f, 0.076660f, 0.088684f, 0.100708f, 0.113464f, 0.127075f, 0.140381f, 0.154419f, 0.169067f, 0.183472f, - 0.198975f, 0.213623f, 0.229370f, 0.245117f, 0.261475f, 0.277832f, 0.294678f, 0.311523f, 0.327148f, 0.344727f, 0.362061f, 0.378418f, - 0.395996f, 0.413086f, 0.430176f, 0.447021f, 0.464111f, 0.481689f, 0.498047f, 0.514648f, 0.531738f, 0.547363f, 0.565430f, 0.582031f, - 0.597656f, 0.612793f, 0.628418f, 0.644043f, 0.660645f, 0.674805f, 0.689941f, 0.705078f, 0.718750f, 0.734375f, 0.747559f, 0.761719f, - 0.775391f, 0.788086f, 0.803223f, 0.814453f, 0.828125f, 0.840332f, 0.919434f, 0.916504f, 0.909668f, 0.904785f, 0.898926f, 0.894043f, - 0.004120f, 0.012512f, 0.021423f, 0.030655f, 0.039673f, 0.049500f, 0.059845f, 0.070374f, 0.081543f, 0.093323f, 0.104614f, 0.116577f, - 0.129395f, 0.142456f, 0.156250f, 0.169434f, 0.183594f, 0.198364f, 0.213257f, 0.228638f, 0.244141f, 0.259766f, 0.275635f, 0.291748f, - 0.308105f, 0.324707f, 0.341309f, 0.359131f, 0.375244f, 0.391846f, 0.408447f, 0.426025f, 0.442871f, 0.459473f, 0.477051f, 0.494141f, - 0.510254f, 0.527344f, 0.543457f, 0.560059f, 0.577148f, 0.592773f, 0.608887f, 0.625977f, 0.640625f, 0.656738f, 0.671875f, 0.686523f, - 0.702637f, 0.716797f, 0.731445f, 0.746582f, 0.759277f, 0.773926f, 0.787598f, 0.800293f, 0.814453f, 0.827148f, 0.914062f, 0.911133f, - 0.905273f, 0.899902f, 0.895508f, 0.890625f, 0.004120f, 0.011566f, 0.019180f, 0.027969f, 0.036255f, 0.045746f, 0.054901f, 0.064941f, - 0.074707f, 0.085327f, 0.096436f, 0.107239f, 0.119324f, 0.131470f, 0.144165f, 0.157104f, 0.169922f, 0.183594f, 0.198242f, 0.212769f, - 0.227295f, 0.242188f, 0.257568f, 0.273193f, 0.289307f, 0.305420f, 0.321289f, 0.337891f, 0.354492f, 0.371094f, 0.387451f, 0.405029f, - 0.421143f, 0.438477f, 0.455322f, 0.472656f, 0.488525f, 0.505859f, 0.521973f, 0.539551f, 0.555664f, 0.572754f, 0.588867f, 0.605469f, - 0.621582f, 0.637207f, 0.653320f, 0.668945f, 0.684570f, 0.698242f, 0.714844f, 0.729492f, 0.745117f, 0.758301f, 0.771973f, 0.787109f, - 0.800781f, 0.813477f, 0.907715f, 0.905762f, 0.900879f, 0.895508f, 0.890625f, 0.886719f, 0.003464f, 0.010536f, 0.018143f, 0.025604f, - 0.033600f, 0.041992f, 0.050659f, 0.059631f, 0.068481f, 0.078552f, 0.088196f, 0.099060f, 0.110107f, 0.121033f, 0.133057f, 0.145020f, - 0.157349f, 0.170166f, 0.183838f, 0.197632f, 0.210938f, 0.225464f, 0.241089f, 0.255371f, 0.270508f, 0.286377f, 0.302246f, 0.317871f, - 0.334229f, 0.349854f, 0.367188f, 0.383789f, 0.399414f, 0.417236f, 0.433838f, 0.450928f, 0.468018f, 0.484131f, 0.501465f, 0.519043f, - 0.535156f, 0.551758f, 0.568359f, 0.585449f, 0.601074f, 0.617676f, 0.634277f, 0.649902f, 0.666016f, 0.681152f, 0.695801f, 0.711914f, - 0.727539f, 0.741699f, 0.756836f, 0.770508f, 0.785645f, 0.800293f, 0.901855f, 0.900391f, 0.895996f, 0.891113f, 0.886230f, 0.881836f, - 0.003197f, 0.009903f, 0.016525f, 0.023849f, 0.030853f, 0.038605f, 0.046265f, 0.054657f, 0.063232f, 0.072266f, 0.081543f, 0.090881f, - 0.100769f, 0.112061f, 0.123047f, 0.134155f, 0.145752f, 0.157471f, 0.170166f, 0.182861f, 0.196289f, 0.210327f, 0.223755f, 0.238525f, - 0.253418f, 0.268066f, 0.283203f, 0.299316f, 0.314697f, 0.330811f, 0.346680f, 0.363281f, 0.379639f, 0.396484f, 0.412842f, 0.429443f, - 0.446289f, 0.462891f, 0.480225f, 0.497559f, 0.514648f, 0.531250f, 0.547852f, 0.564453f, 0.581055f, 0.598145f, 0.615234f, 0.631836f, - 0.646484f, 0.663086f, 0.679199f, 0.694824f, 0.710449f, 0.726074f, 0.740234f, 0.755859f, 0.770508f, 0.784668f, 0.895020f, 0.894531f, - 0.890625f, 0.886719f, 0.881836f, 0.877441f, 0.003071f, 0.009163f, 0.015602f, 0.021729f, 0.028412f, 0.035522f, 0.042755f, 0.050598f, - 0.057983f, 0.066284f, 0.075317f, 0.083862f, 0.092773f, 0.102905f, 0.113342f, 0.123840f, 0.134399f, 0.145752f, 0.157593f, 0.169556f, - 0.182129f, 0.194702f, 0.207886f, 0.222046f, 0.235840f, 0.250977f, 0.265137f, 0.280273f, 0.295898f, 0.311279f, 0.326660f, 0.342773f, - 0.359375f, 0.375732f, 0.392090f, 0.409180f, 0.425049f, 0.441895f, 0.459473f, 0.476318f, 0.493652f, 0.510742f, 0.527344f, 0.544434f, - 0.561035f, 0.578125f, 0.595215f, 0.611328f, 0.628418f, 0.645020f, 0.661133f, 0.677246f, 0.693359f, 0.708496f, 0.724609f, 0.740723f, - 0.755859f, 0.771484f, 0.889160f, 0.889160f, 0.885254f, 0.881348f, 0.876953f, 0.873047f, 0.002748f, 0.008171f, 0.014084f, 0.019638f, - 0.026108f, 0.032318f, 0.039154f, 0.045990f, 0.053619f, 0.061066f, 0.068665f, 0.076477f, 0.085632f, 0.094727f, 0.104187f, 0.113831f, - 0.123535f, 0.134888f, 0.145508f, 0.157104f, 0.168701f, 0.181030f, 0.193481f, 0.206665f, 0.220093f, 0.233398f, 0.248169f, 0.262695f, - 0.277344f, 0.292236f, 0.307617f, 0.322998f, 0.339355f, 0.355469f, 0.371582f, 0.388184f, 0.404541f, 0.420410f, 0.438477f, 0.455322f, - 0.472656f, 0.489014f, 0.506348f, 0.523926f, 0.541016f, 0.557617f, 0.575195f, 0.591309f, 0.608887f, 0.625977f, 0.643555f, 0.659180f, - 0.674805f, 0.691406f, 0.707520f, 0.724121f, 0.739746f, 0.755371f, 0.882812f, 0.883789f, 0.879883f, 0.875977f, 0.872559f, 0.868652f, - 0.002491f, 0.007809f, 0.012764f, 0.018448f, 0.024094f, 0.029861f, 0.036102f, 0.042572f, 0.049500f, 0.056091f, 0.063293f, 0.070984f, - 0.079285f, 0.087036f, 0.095825f, 0.104858f, 0.114441f, 0.124084f, 0.133789f, 0.144653f, 0.156250f, 0.167480f, 0.179199f, 0.191650f, - 0.204102f, 0.217896f, 0.231445f, 0.245239f, 0.259521f, 0.274170f, 0.289307f, 0.304199f, 0.319580f, 0.334961f, 0.351074f, 0.367676f, - 0.384277f, 0.400635f, 0.417480f, 0.434570f, 0.451660f, 0.468994f, 0.485352f, 0.502441f, 0.520508f, 0.537109f, 0.554688f, 0.571777f, - 0.588867f, 0.605957f, 0.623047f, 0.639648f, 0.656738f, 0.673828f, 0.690430f, 0.708008f, 0.723633f, 0.739746f, 0.874023f, 0.876953f, - 0.874023f, 0.871582f, 0.867188f, 0.862793f, 0.002279f, 0.007130f, 0.012291f, 0.016922f, 0.022171f, 0.027847f, 0.033325f, 0.039185f, - 0.045349f, 0.051849f, 0.058411f, 0.064880f, 0.072144f, 0.080017f, 0.087891f, 0.096313f, 0.105103f, 0.114197f, 0.123779f, 0.134155f, - 0.144043f, 0.155151f, 0.166016f, 0.177246f, 0.189697f, 0.202271f, 0.214722f, 0.228271f, 0.242310f, 0.256592f, 0.270752f, 0.285400f, - 0.300537f, 0.315674f, 0.331543f, 0.347656f, 0.363525f, 0.379639f, 0.396729f, 0.414307f, 0.430908f, 0.447754f, 0.465088f, 0.482178f, - 0.499512f, 0.517090f, 0.533203f, 0.552246f, 0.568848f, 0.586426f, 0.603516f, 0.621582f, 0.639648f, 0.656250f, 0.673828f, 0.690918f, - 0.707520f, 0.724121f, 0.867676f, 0.870605f, 0.868164f, 0.865723f, 0.861328f, 0.857910f, 0.002220f, 0.006565f, 0.011238f, 0.015961f, - 0.020401f, 0.025558f, 0.030853f, 0.036133f, 0.041199f, 0.047180f, 0.053436f, 0.059723f, 0.066162f, 0.073853f, 0.080688f, 0.088440f, - 0.096436f, 0.105042f, 0.114319f, 0.123047f, 0.132446f, 0.142822f, 0.153198f, 0.164062f, 0.175659f, 0.187378f, 0.199463f, 0.212402f, - 0.225464f, 0.239014f, 0.252686f, 0.266846f, 0.281494f, 0.296631f, 0.312500f, 0.328369f, 0.343750f, 0.359863f, 0.376221f, 0.393066f, - 0.409668f, 0.426514f, 0.444336f, 0.461670f, 0.478760f, 0.496826f, 0.513672f, 0.532227f, 0.549316f, 0.567383f, 0.584961f, 0.602051f, - 0.620605f, 0.637207f, 0.655273f, 0.672363f, 0.689941f, 0.708008f, 0.860840f, 0.864746f, 0.862793f, 0.859375f, 0.855957f, 0.853027f, - 0.002190f, 0.005993f, 0.010117f, 0.014420f, 0.018738f, 0.023361f, 0.028015f, 0.033142f, 0.037781f, 0.043732f, 0.048920f, 0.054840f, - 0.061218f, 0.067810f, 0.074219f, 0.081299f, 0.088562f, 0.096130f, 0.104614f, 0.113098f, 0.122253f, 0.131714f, 0.141113f, 0.151245f, - 0.162109f, 0.173462f, 0.184692f, 0.196899f, 0.209473f, 0.222534f, 0.236206f, 0.249634f, 0.263672f, 0.277588f, 0.293213f, 0.308350f, - 0.323975f, 0.339844f, 0.355957f, 0.372070f, 0.389404f, 0.405762f, 0.422852f, 0.439941f, 0.458008f, 0.475098f, 0.492920f, 0.510742f, - 0.528320f, 0.546875f, 0.564453f, 0.583496f, 0.601074f, 0.619141f, 0.636719f, 0.654785f, 0.672852f, 0.691406f, 0.852539f, 0.858398f, - 0.856445f, 0.853516f, 0.850586f, 0.847656f, 0.001787f, 0.005753f, 0.009300f, 0.013611f, 0.017410f, 0.021576f, 0.025665f, 0.030533f, - 0.035126f, 0.040039f, 0.044952f, 0.050446f, 0.055817f, 0.061890f, 0.068054f, 0.074707f, 0.081482f, 0.088501f, 0.095764f, 0.103943f, - 0.112183f, 0.120850f, 0.130249f, 0.139526f, 0.149658f, 0.160400f, 0.171021f, 0.182007f, 0.194336f, 0.206421f, 0.219360f, 0.232666f, - 0.245850f, 0.260010f, 0.274170f, 0.289307f, 0.304443f, 0.319580f, 0.335693f, 0.352295f, 0.369141f, 0.385498f, 0.402344f, 0.419189f, - 0.437012f, 0.454346f, 0.472412f, 0.490234f, 0.507812f, 0.525879f, 0.545410f, 0.562500f, 0.581055f, 0.600098f, 0.618164f, 0.636719f, - 0.655273f, 0.674316f, 0.845703f, 0.852051f, 0.849609f, 0.847168f, 0.845215f, 0.841309f, 0.001766f, 0.005241f, 0.008881f, 0.012024f, - 0.016129f, 0.020233f, 0.024124f, 0.027664f, 0.032135f, 0.036835f, 0.041321f, 0.046173f, 0.051392f, 0.056946f, 0.062225f, 0.068604f, - 0.074524f, 0.080933f, 0.088135f, 0.095398f, 0.103210f, 0.110779f, 0.119263f, 0.128296f, 0.137695f, 0.147217f, 0.157349f, 0.168091f, - 0.179688f, 0.191284f, 0.203613f, 0.215942f, 0.228882f, 0.242554f, 0.255859f, 0.270508f, 0.285400f, 0.300537f, 0.316406f, 0.331787f, - 0.348877f, 0.364746f, 0.382080f, 0.398682f, 0.415771f, 0.434082f, 0.451416f, 0.469482f, 0.487793f, 0.505859f, 0.524414f, 0.542969f, - 0.562012f, 0.580566f, 0.598145f, 0.618652f, 0.637695f, 0.657227f, 0.837891f, 0.844727f, 0.843750f, 0.841309f, 0.838379f, 0.836426f, - 0.001598f, 0.004887f, 0.008217f, 0.011497f, 0.014786f, 0.018326f, 0.021652f, 0.025513f, 0.029541f, 0.033813f, 0.038086f, 0.042236f, - 0.046844f, 0.052032f, 0.057251f, 0.062622f, 0.068237f, 0.074280f, 0.080505f, 0.086975f, 0.094116f, 0.101074f, 0.109314f, 0.117554f, - 0.126587f, 0.135254f, 0.144775f, 0.155029f, 0.165405f, 0.176392f, 0.187744f, 0.199829f, 0.212646f, 0.224976f, 0.238647f, 0.252441f, - 0.267090f, 0.281738f, 0.296631f, 0.312256f, 0.328369f, 0.344971f, 0.361328f, 0.377686f, 0.395264f, 0.412842f, 0.430908f, 0.448730f, - 0.467041f, 0.485596f, 0.503906f, 0.522461f, 0.541504f, 0.561523f, 0.580078f, 0.599121f, 0.618164f, 0.639648f, 0.828613f, 0.837891f, - 0.836914f, 0.834473f, 0.833008f, 0.830566f, 0.001709f, 0.004494f, 0.007416f, 0.010628f, 0.013680f, 0.016785f, 0.020203f, 0.023712f, - 0.027435f, 0.031006f, 0.034424f, 0.038635f, 0.043182f, 0.047668f, 0.052307f, 0.057159f, 0.062042f, 0.067749f, 0.073730f, 0.079956f, - 0.086182f, 0.092773f, 0.100159f, 0.107727f, 0.115479f, 0.123962f, 0.132935f, 0.142578f, 0.151978f, 0.162476f, 0.173340f, 0.184570f, - 0.196411f, 0.208740f, 0.221436f, 0.235229f, 0.248779f, 0.262939f, 0.277832f, 0.293213f, 0.308105f, 0.324219f, 0.341309f, 0.357178f, - 0.374756f, 0.391846f, 0.409424f, 0.427490f, 0.446533f, 0.464844f, 0.483643f, 0.501953f, 0.521484f, 0.541504f, 0.561035f, 0.579590f, - 0.599609f, 0.620605f, 0.821289f, 0.830566f, 0.830078f, 0.828125f, 0.825684f, 0.823242f, 0.001367f, 0.004105f, 0.007023f, 0.009552f, - 0.012611f, 0.015289f, 0.018341f, 0.021652f, 0.024857f, 0.027878f, 0.031769f, 0.035614f, 0.039276f, 0.043610f, 0.047333f, 0.052155f, - 0.056549f, 0.061401f, 0.066895f, 0.072449f, 0.078613f, 0.084778f, 0.091309f, 0.098083f, 0.105774f, 0.113281f, 0.121399f, 0.130371f, - 0.139648f, 0.148926f, 0.159546f, 0.169922f, 0.180908f, 0.192749f, 0.204834f, 0.217651f, 0.231567f, 0.244385f, 0.259277f, 0.273926f, - 0.289307f, 0.304688f, 0.320557f, 0.336914f, 0.354248f, 0.371338f, 0.388184f, 0.406982f, 0.424316f, 0.443115f, 0.462646f, 0.481445f, - 0.501465f, 0.520508f, 0.541016f, 0.559570f, 0.580078f, 0.601074f, 0.812988f, 0.823242f, 0.823242f, 0.821289f, 0.819824f, 0.817383f, - 0.001398f, 0.003883f, 0.006351f, 0.008911f, 0.011559f, 0.014343f, 0.017212f, 0.020035f, 0.022797f, 0.026062f, 0.028793f, 0.031891f, - 0.035858f, 0.039368f, 0.043213f, 0.047607f, 0.051483f, 0.056030f, 0.060883f, 0.065979f, 0.071350f, 0.076843f, 0.083130f, 0.089172f, - 0.096069f, 0.103333f, 0.111023f, 0.119019f, 0.127319f, 0.136719f, 0.145996f, 0.156128f, 0.166138f, 0.177368f, 0.189453f, 0.201416f, - 0.213745f, 0.227295f, 0.240601f, 0.255371f, 0.269287f, 0.285400f, 0.301270f, 0.317139f, 0.333740f, 0.350586f, 0.367920f, 0.385986f, - 0.404297f, 0.422852f, 0.442383f, 0.460938f, 0.479980f, 0.500488f, 0.520508f, 0.541016f, 0.560547f, 0.582520f, 0.803711f, 0.814941f, - 0.815430f, 0.814453f, 0.812500f, 0.810547f, 0.001259f, 0.003464f, 0.006332f, 0.008286f, 0.010384f, 0.013000f, 0.015587f, 0.018234f, - 0.021027f, 0.023422f, 0.026566f, 0.029480f, 0.032379f, 0.035919f, 0.039215f, 0.043060f, 0.046997f, 0.050995f, 0.055267f, 0.059998f, - 0.065002f, 0.069946f, 0.075317f, 0.081299f, 0.087280f, 0.094116f, 0.101135f, 0.108276f, 0.116150f, 0.124695f, 0.133545f, 0.142700f, - 0.152222f, 0.162720f, 0.173950f, 0.185303f, 0.197754f, 0.210205f, 0.223022f, 0.237061f, 0.250732f, 0.265869f, 0.281250f, 0.297119f, - 0.313477f, 0.330322f, 0.347656f, 0.364746f, 0.383301f, 0.401367f, 0.420898f, 0.440186f, 0.459229f, 0.479736f, 0.499512f, 0.520996f, - 0.541016f, 0.562988f, 0.794434f, 0.807129f, 0.807617f, 0.807129f, 0.805176f, 0.803711f, 0.001070f, 0.003237f, 0.005432f, 0.007359f, - 0.009857f, 0.012337f, 0.014191f, 0.016586f, 0.019257f, 0.021561f, 0.024094f, 0.026901f, 0.029724f, 0.032745f, 0.035675f, 0.039368f, - 0.042572f, 0.045990f, 0.050354f, 0.054535f, 0.058746f, 0.063232f, 0.068420f, 0.073608f, 0.079529f, 0.085266f, 0.091370f, 0.098083f, - 0.105835f, 0.113159f, 0.121094f, 0.129639f, 0.139038f, 0.148926f, 0.159058f, 0.169678f, 0.181274f, 0.193481f, 0.205811f, 0.219482f, - 0.233032f, 0.247192f, 0.262207f, 0.277100f, 0.293213f, 0.309814f, 0.326660f, 0.344238f, 0.361816f, 0.380615f, 0.398926f, 0.418945f, - 0.438477f, 0.458008f, 0.479004f, 0.499512f, 0.520996f, 0.543945f, 0.784668f, 0.798828f, 0.800293f, 0.799805f, 0.797852f, 0.796875f, - 0.001074f, 0.002916f, 0.004955f, 0.007149f, 0.009033f, 0.011055f, 0.013268f, 0.015495f, 0.017365f, 0.019485f, 0.022095f, 0.024002f, - 0.026688f, 0.029633f, 0.032593f, 0.035370f, 0.038361f, 0.041870f, 0.045319f, 0.049225f, 0.052948f, 0.057068f, 0.061676f, 0.066345f, - 0.071167f, 0.076782f, 0.082581f, 0.088867f, 0.095886f, 0.102539f, 0.109802f, 0.118042f, 0.126709f, 0.135132f, 0.144897f, 0.155151f, - 0.165771f, 0.177368f, 0.189209f, 0.201904f, 0.215210f, 0.229370f, 0.242798f, 0.258057f, 0.274170f, 0.290039f, 0.306885f, 0.323242f, - 0.341309f, 0.359375f, 0.378418f, 0.397461f, 0.416260f, 0.437500f, 0.457031f, 0.479004f, 0.501465f, 0.522461f, 0.775391f, 0.790527f, - 0.791992f, 0.791504f, 0.791016f, 0.789551f, 0.000837f, 0.002916f, 0.004738f, 0.006477f, 0.008575f, 0.010170f, 0.012161f, 0.014023f, - 0.015808f, 0.017792f, 0.020111f, 0.022064f, 0.024414f, 0.026794f, 0.029251f, 0.032074f, 0.034698f, 0.037598f, 0.040741f, 0.043915f, - 0.047577f, 0.051361f, 0.055389f, 0.059692f, 0.064209f, 0.068787f, 0.074585f, 0.079712f, 0.085632f, 0.092346f, 0.099487f, 0.106323f, - 0.114929f, 0.122925f, 0.131958f, 0.141235f, 0.151123f, 0.161865f, 0.172974f, 0.184937f, 0.197632f, 0.210693f, 0.224854f, 0.239136f, - 0.254395f, 0.269531f, 0.285889f, 0.302979f, 0.320557f, 0.338623f, 0.356689f, 0.375977f, 0.395752f, 0.415527f, 0.436523f, 0.458252f, - 0.479248f, 0.501465f, 0.765137f, 0.781738f, 0.783691f, 0.784180f, 0.783203f, 0.781250f, 0.000854f, 0.002817f, 0.004089f, 0.005684f, - 0.007675f, 0.009277f, 0.010864f, 0.012413f, 0.014427f, 0.016235f, 0.017838f, 0.019913f, 0.021805f, 0.023987f, 0.026276f, 0.028915f, - 0.030960f, 0.033875f, 0.036652f, 0.039551f, 0.042816f, 0.045837f, 0.049591f, 0.053589f, 0.057526f, 0.061829f, 0.066650f, 0.071655f, - 0.077393f, 0.083008f, 0.088989f, 0.096008f, 0.103210f, 0.110657f, 0.119141f, 0.127930f, 0.137085f, 0.146973f, 0.157593f, 0.169312f, - 0.181274f, 0.193481f, 0.207031f, 0.220581f, 0.235229f, 0.250732f, 0.266357f, 0.282227f, 0.299805f, 0.317627f, 0.335449f, 0.354736f, - 0.374268f, 0.394531f, 0.415527f, 0.436279f, 0.458252f, 0.481689f, 0.754883f, 0.773438f, 0.775391f, 0.775879f, 0.774902f, 0.773926f, - 0.000852f, 0.002520f, 0.003937f, 0.005527f, 0.006836f, 0.008408f, 0.009773f, 0.011620f, 0.013039f, 0.014687f, 0.016327f, 0.017944f, - 0.019760f, 0.021774f, 0.023697f, 0.025894f, 0.027969f, 0.030121f, 0.032501f, 0.035370f, 0.038208f, 0.041046f, 0.044098f, 0.047791f, - 0.051453f, 0.055176f, 0.059570f, 0.064026f, 0.068787f, 0.074158f, 0.079834f, 0.085938f, 0.092590f, 0.099304f, 0.106873f, 0.114990f, - 0.124023f, 0.133301f, 0.143066f, 0.153687f, 0.164551f, 0.176392f, 0.189209f, 0.202637f, 0.216553f, 0.231323f, 0.246704f, 0.262451f, - 0.279297f, 0.296387f, 0.314697f, 0.333496f, 0.353516f, 0.373047f, 0.394775f, 0.415039f, 0.437500f, 0.460449f, 0.745117f, 0.763672f, - 0.766602f, 0.767090f, 0.767090f, 0.765625f, 0.000762f, 0.002342f, 0.003563f, 0.004787f, 0.006447f, 0.007648f, 0.009193f, 0.010353f, - 0.012016f, 0.013138f, 0.014557f, 0.016312f, 0.017929f, 0.019470f, 0.021103f, 0.023056f, 0.024918f, 0.026886f, 0.029099f, 0.031586f, - 0.034058f, 0.036499f, 0.039307f, 0.042450f, 0.045685f, 0.049072f, 0.052826f, 0.056915f, 0.061096f, 0.065918f, 0.070984f, 0.076538f, - 0.082520f, 0.088928f, 0.095520f, 0.102905f, 0.111206f, 0.119629f, 0.128662f, 0.138184f, 0.148682f, 0.160156f, 0.171997f, 0.184937f, - 0.198364f, 0.212524f, 0.227173f, 0.243042f, 0.259277f, 0.276611f, 0.294189f, 0.312500f, 0.331055f, 0.350830f, 0.372070f, 0.392334f, - 0.415771f, 0.438232f, 0.734375f, 0.754395f, 0.758789f, 0.758789f, 0.758789f, 0.757812f, 0.000848f, 0.002024f, 0.003553f, 0.004646f, - 0.005726f, 0.007050f, 0.008362f, 0.009438f, 0.010536f, 0.011810f, 0.013123f, 0.014481f, 0.015778f, 0.017242f, 0.018753f, 0.020447f, - 0.022278f, 0.023819f, 0.025940f, 0.027771f, 0.029999f, 0.032410f, 0.034851f, 0.037354f, 0.040375f, 0.043610f, 0.046631f, 0.050354f, - 0.054108f, 0.058563f, 0.062805f, 0.067871f, 0.073242f, 0.078796f, 0.085083f, 0.091797f, 0.098816f, 0.106689f, 0.115540f, 0.124207f, - 0.134155f, 0.144409f, 0.155762f, 0.167725f, 0.180664f, 0.193848f, 0.208618f, 0.223389f, 0.239746f, 0.256104f, 0.273438f, 0.291260f, - 0.310059f, 0.330078f, 0.349854f, 0.370850f, 0.393555f, 0.416992f, 0.724121f, 0.744629f, 0.748535f, 0.750000f, 0.749512f, 0.749512f, - 0.000736f, 0.001780f, 0.002937f, 0.004314f, 0.005211f, 0.006214f, 0.007423f, 0.008537f, 0.009392f, 0.010773f, 0.011726f, 0.012970f, - 0.014183f, 0.015373f, 0.016724f, 0.017990f, 0.019730f, 0.021194f, 0.022644f, 0.024368f, 0.026443f, 0.028610f, 0.030685f, 0.032898f, - 0.035583f, 0.038300f, 0.041351f, 0.044556f, 0.047638f, 0.051422f, 0.055359f, 0.059875f, 0.064392f, 0.069580f, 0.075195f, 0.080872f, - 0.087646f, 0.094849f, 0.102173f, 0.110596f, 0.119690f, 0.129761f, 0.139893f, 0.151367f, 0.163452f, 0.176147f, 0.190063f, 0.204590f, - 0.219238f, 0.235718f, 0.252441f, 0.270264f, 0.289062f, 0.307861f, 0.328613f, 0.350098f, 0.372314f, 0.395020f, 0.712402f, 0.734863f, - 0.739746f, 0.740723f, 0.740723f, 0.740234f, 0.000589f, 0.001616f, 0.002674f, 0.003841f, 0.004940f, 0.005676f, 0.006554f, 0.007442f, - 0.008812f, 0.009537f, 0.010277f, 0.011528f, 0.012634f, 0.013527f, 0.014671f, 0.016037f, 0.017136f, 0.018631f, 0.019943f, 0.021530f, - 0.023071f, 0.025146f, 0.026825f, 0.029037f, 0.030853f, 0.033447f, 0.035736f, 0.038849f, 0.041656f, 0.044922f, 0.048462f, 0.052277f, - 0.056519f, 0.061127f, 0.065796f, 0.071411f, 0.077148f, 0.083435f, 0.090393f, 0.097900f, 0.106079f, 0.115356f, 0.125122f, 0.135132f, - 0.146729f, 0.158936f, 0.171509f, 0.185059f, 0.200439f, 0.215576f, 0.232056f, 0.249756f, 0.267822f, 0.286621f, 0.306885f, 0.328125f, - 0.349854f, 0.373291f, 0.701172f, 0.725586f, 0.729980f, 0.730957f, 0.731934f, 0.730957f, 0.000547f, 0.001666f, 0.002367f, 0.003559f, - 0.004238f, 0.005028f, 0.005852f, 0.006859f, 0.007755f, 0.008530f, 0.009163f, 0.010056f, 0.010956f, 0.011978f, 0.013062f, 0.014076f, - 0.015053f, 0.016251f, 0.017471f, 0.018921f, 0.020233f, 0.021774f, 0.023315f, 0.025162f, 0.026871f, 0.029007f, 0.031204f, 0.033661f, - 0.036102f, 0.039062f, 0.042053f, 0.045380f, 0.048859f, 0.053040f, 0.057343f, 0.062225f, 0.067261f, 0.073120f, 0.079407f, 0.086243f, - 0.093567f, 0.101868f, 0.110596f, 0.120239f, 0.130859f, 0.141968f, 0.154053f, 0.167358f, 0.181274f, 0.196045f, 0.212158f, 0.229248f, - 0.247192f, 0.265381f, 0.285400f, 0.305664f, 0.327637f, 0.350586f, 0.689453f, 0.715820f, 0.720215f, 0.722168f, 0.722168f, 0.722168f, - 0.000492f, 0.001634f, 0.002342f, 0.003111f, 0.003866f, 0.004574f, 0.005417f, 0.005928f, 0.006588f, 0.007393f, 0.008041f, 0.008873f, - 0.009689f, 0.010391f, 0.011375f, 0.012146f, 0.013100f, 0.014183f, 0.015274f, 0.016479f, 0.017456f, 0.018768f, 0.020157f, 0.021606f, - 0.023300f, 0.024933f, 0.026855f, 0.028885f, 0.031143f, 0.033417f, 0.036133f, 0.039032f, 0.042236f, 0.045776f, 0.049713f, 0.053680f, - 0.058228f, 0.063232f, 0.069092f, 0.074829f, 0.081482f, 0.089050f, 0.096924f, 0.105591f, 0.115417f, 0.126221f, 0.137329f, 0.149658f, - 0.162964f, 0.176880f, 0.192505f, 0.208740f, 0.226318f, 0.244873f, 0.263428f, 0.283936f, 0.306396f, 0.329346f, 0.676270f, 0.705078f, - 0.709961f, 0.711914f, 0.712891f, 0.711914f, 0.000506f, 0.001342f, 0.002157f, 0.002813f, 0.003353f, 0.004105f, 0.004658f, 0.005344f, - 0.005871f, 0.006538f, 0.007050f, 0.007751f, 0.008247f, 0.009109f, 0.009865f, 0.010559f, 0.011269f, 0.012169f, 0.013290f, 0.014191f, - 0.015015f, 0.016312f, 0.017395f, 0.018570f, 0.019989f, 0.021439f, 0.023102f, 0.024536f, 0.026535f, 0.028702f, 0.030899f, 0.033356f, - 0.035980f, 0.039093f, 0.042328f, 0.046051f, 0.049927f, 0.054199f, 0.059052f, 0.064575f, 0.070496f, 0.076782f, 0.084412f, 0.092285f, - 0.100708f, 0.110779f, 0.121399f, 0.132690f, 0.145508f, 0.158813f, 0.173584f, 0.189453f, 0.205688f, 0.223755f, 0.242554f, 0.263184f, - 0.284180f, 0.306641f, 0.664551f, 0.693848f, 0.699707f, 0.702148f, 0.702637f, 0.703125f, 0.000500f, 0.001122f, 0.001810f, 0.002363f, - 0.002987f, 0.003576f, 0.004158f, 0.004620f, 0.005032f, 0.005627f, 0.006161f, 0.006721f, 0.007179f, 0.007790f, 0.008385f, 0.009163f, - 0.009758f, 0.010536f, 0.011284f, 0.011986f, 0.012878f, 0.013710f, 0.014725f, 0.015823f, 0.016937f, 0.018326f, 0.019547f, 0.020874f, - 0.022522f, 0.024399f, 0.026077f, 0.028427f, 0.030609f, 0.032990f, 0.035736f, 0.038788f, 0.042236f, 0.045990f, 0.050354f, 0.054901f, - 0.059967f, 0.065918f, 0.072205f, 0.079468f, 0.087219f, 0.096252f, 0.105713f, 0.116272f, 0.128174f, 0.140747f, 0.154419f, 0.169556f, - 0.186279f, 0.203125f, 0.221313f, 0.240601f, 0.261719f, 0.284424f, 0.652344f, 0.683105f, 0.688965f, 0.691406f, 0.692383f, 0.693359f, - 0.000482f, 0.001184f, 0.001604f, 0.002171f, 0.002562f, 0.003029f, 0.003656f, 0.003941f, 0.004410f, 0.004948f, 0.005325f, 0.005577f, - 0.006157f, 0.006702f, 0.007172f, 0.007751f, 0.008331f, 0.008904f, 0.009514f, 0.010063f, 0.010925f, 0.011719f, 0.012306f, 0.013321f, - 0.014275f, 0.015465f, 0.016510f, 0.017593f, 0.018845f, 0.020401f, 0.022095f, 0.023682f, 0.025513f, 0.027679f, 0.029968f, 0.032593f, - 0.035461f, 0.038757f, 0.042175f, 0.046326f, 0.050873f, 0.055939f, 0.061462f, 0.067444f, 0.074402f, 0.082520f, 0.091125f, 0.100830f, - 0.111572f, 0.123413f, 0.136719f, 0.150513f, 0.165894f, 0.182251f, 0.200684f, 0.219727f, 0.240234f, 0.261963f, 0.640137f, 0.671387f, - 0.679199f, 0.680664f, 0.682617f, 0.683105f, 0.000501f, 0.000919f, 0.001424f, 0.001853f, 0.002266f, 0.002789f, 0.002998f, 0.003397f, - 0.003902f, 0.004192f, 0.004417f, 0.004974f, 0.005207f, 0.005676f, 0.006134f, 0.006527f, 0.007179f, 0.007465f, 0.008018f, 0.008537f, - 0.009178f, 0.009888f, 0.010544f, 0.011093f, 0.011986f, 0.012794f, 0.013664f, 0.014717f, 0.015747f, 0.016983f, 0.018127f, 0.019470f, - 0.021103f, 0.022919f, 0.024826f, 0.026962f, 0.029358f, 0.031769f, 0.035065f, 0.038239f, 0.042297f, 0.046570f, 0.051422f, 0.056671f, - 0.062805f, 0.069763f, 0.077698f, 0.086182f, 0.095825f, 0.106812f, 0.119080f, 0.132568f, 0.147217f, 0.162598f, 0.180176f, 0.198730f, - 0.218628f, 0.241211f, 0.627441f, 0.660156f, 0.668457f, 0.669922f, 0.672363f, 0.671875f, 0.000235f, 0.001120f, 0.001356f, 0.001651f, - 0.002117f, 0.002441f, 0.002678f, 0.002993f, 0.003244f, 0.003519f, 0.003876f, 0.004086f, 0.004505f, 0.004787f, 0.005085f, 0.005604f, - 0.005985f, 0.006271f, 0.006783f, 0.007145f, 0.007679f, 0.008217f, 0.008728f, 0.009277f, 0.009956f, 0.010605f, 0.011490f, 0.012062f, - 0.013084f, 0.013962f, 0.014984f, 0.016113f, 0.017395f, 0.018829f, 0.020416f, 0.022125f, 0.023972f, 0.025955f, 0.028625f, 0.031616f, - 0.034515f, 0.038147f, 0.042114f, 0.046783f, 0.052094f, 0.058075f, 0.065002f, 0.072510f, 0.081604f, 0.091125f, 0.102539f, 0.114807f, - 0.128662f, 0.143921f, 0.160034f, 0.178467f, 0.198364f, 0.218750f, 0.613281f, 0.648926f, 0.657227f, 0.659668f, 0.661621f, 0.661621f, - 0.000382f, 0.000704f, 0.001099f, 0.001557f, 0.001774f, 0.001976f, 0.002132f, 0.002575f, 0.002634f, 0.002916f, 0.003103f, 0.003494f, - 0.003754f, 0.003956f, 0.004269f, 0.004684f, 0.004902f, 0.005234f, 0.005569f, 0.005890f, 0.006416f, 0.006786f, 0.007160f, 0.007645f, - 0.008118f, 0.008781f, 0.009346f, 0.010025f, 0.010658f, 0.011475f, 0.012230f, 0.013016f, 0.014122f, 0.015251f, 0.016342f, 0.017807f, - 0.019424f, 0.021103f, 0.023026f, 0.025436f, 0.027817f, 0.030914f, 0.034210f, 0.037750f, 0.042450f, 0.047455f, 0.053101f, 0.059998f, - 0.067688f, 0.076660f, 0.086670f, 0.097961f, 0.110779f, 0.125366f, 0.140747f, 0.158081f, 0.176880f, 0.197632f, 0.600098f, 0.637207f, - 0.644531f, 0.647949f, 0.649414f, 0.651855f, 0.000182f, 0.000738f, 0.000942f, 0.001220f, 0.001469f, 0.001634f, 0.001820f, 0.002005f, - 0.002291f, 0.002441f, 0.002636f, 0.002832f, 0.003019f, 0.003242f, 0.003502f, 0.003824f, 0.004017f, 0.004333f, 0.004570f, 0.004883f, - 0.005173f, 0.005615f, 0.005909f, 0.006317f, 0.006649f, 0.007160f, 0.007656f, 0.008156f, 0.008583f, 0.009209f, 0.009857f, 0.010696f, - 0.011322f, 0.012367f, 0.013229f, 0.014259f, 0.015686f, 0.016815f, 0.018402f, 0.020126f, 0.022095f, 0.024414f, 0.027176f, 0.030273f, - 0.033722f, 0.038086f, 0.042969f, 0.048645f, 0.055237f, 0.063171f, 0.071960f, 0.082031f, 0.093994f, 0.107300f, 0.122131f, 0.138550f, - 0.156494f, 0.177002f, 0.586426f, 0.625488f, 0.633789f, 0.637207f, 0.638672f, 0.639648f, 0.000199f, 0.000534f, 0.000745f, 0.000995f, - 0.001190f, 0.001387f, 0.001516f, 0.001691f, 0.001790f, 0.001941f, 0.002214f, 0.002346f, 0.002449f, 0.002686f, 0.002832f, 0.003042f, - 0.003304f, 0.003531f, 0.003662f, 0.003952f, 0.004181f, 0.004517f, 0.004704f, 0.005074f, 0.005352f, 0.005718f, 0.006096f, 0.006481f, - 0.006947f, 0.007454f, 0.007988f, 0.008484f, 0.009140f, 0.009804f, 0.010475f, 0.011307f, 0.012299f, 0.013268f, 0.014511f, 0.015823f, - 0.017410f, 0.018936f, 0.021225f, 0.023621f, 0.026367f, 0.029770f, 0.033661f, 0.038452f, 0.044067f, 0.050812f, 0.058411f, 0.067444f, - 0.077942f, 0.090149f, 0.104187f, 0.119812f, 0.137085f, 0.156372f, 0.572754f, 0.613770f, 0.621582f, 0.625977f, 0.627441f, 0.628906f, - 0.000165f, 0.000486f, 0.000618f, 0.000880f, 0.001063f, 0.001140f, 0.001258f, 0.001464f, 0.001498f, 0.001561f, 0.001707f, 0.001899f, - 0.001976f, 0.002171f, 0.002285f, 0.002474f, 0.002571f, 0.002764f, 0.002968f, 0.003170f, 0.003389f, 0.003580f, 0.003822f, 0.004036f, - 0.004269f, 0.004505f, 0.004738f, 0.005157f, 0.005474f, 0.005821f, 0.006279f, 0.006649f, 0.007107f, 0.007610f, 0.008240f, 0.008835f, - 0.009598f, 0.010361f, 0.011276f, 0.012299f, 0.013466f, 0.014740f, 0.016251f, 0.018021f, 0.020294f, 0.022797f, 0.025833f, 0.029739f, - 0.034058f, 0.039612f, 0.046021f, 0.053833f, 0.063110f, 0.074158f, 0.086914f, 0.101562f, 0.118164f, 0.136841f, 0.558594f, 0.601074f, - 0.608887f, 0.613281f, 0.615234f, 0.617188f, 0.000096f, 0.000348f, 0.000585f, 0.000707f, 0.000837f, 0.000866f, 0.000972f, 0.001095f, - 0.001198f, 0.001309f, 0.001355f, 0.001417f, 0.001615f, 0.001740f, 0.001863f, 0.001880f, 0.002048f, 0.002159f, 0.002380f, 0.002487f, - 0.002613f, 0.002777f, 0.003000f, 0.003143f, 0.003353f, 0.003521f, 0.003748f, 0.003963f, 0.004265f, 0.004490f, 0.004776f, 0.005093f, - 0.005577f, 0.005966f, 0.006321f, 0.006828f, 0.007320f, 0.007904f, 0.008575f, 0.009392f, 0.010231f, 0.011276f, 0.012321f, 0.013832f, - 0.015343f, 0.017242f, 0.019501f, 0.022247f, 0.025696f, 0.029922f, 0.035187f, 0.041779f, 0.049683f, 0.059387f, 0.070801f, 0.084106f, - 0.100037f, 0.117798f, 0.544434f, 0.588867f, 0.597656f, 0.602539f, 0.604492f, 0.605469f, 0.000123f, 0.000248f, 0.000443f, 0.000625f, - 0.000663f, 0.000733f, 0.000843f, 0.000780f, 0.000921f, 0.000986f, 0.001081f, 0.001178f, 0.001254f, 0.001348f, 0.001364f, 0.001515f, - 0.001565f, 0.001705f, 0.001824f, 0.001870f, 0.002066f, 0.002155f, 0.002274f, 0.002422f, 0.002525f, 0.002695f, 0.002863f, 0.003038f, - 0.003271f, 0.003441f, 0.003736f, 0.003901f, 0.004112f, 0.004478f, 0.004719f, 0.005093f, 0.005482f, 0.005913f, 0.006413f, 0.007019f, - 0.007626f, 0.008408f, 0.009201f, 0.010201f, 0.011436f, 0.012749f, 0.014389f, 0.016373f, 0.018906f, 0.022034f, 0.025909f, 0.031082f, - 0.037628f, 0.045715f, 0.055939f, 0.068176f, 0.082764f, 0.099365f, 0.529785f, 0.574707f, 0.584961f, 0.589844f, 0.591797f, 0.593750f, - 0.000210f, 0.000212f, 0.000365f, 0.000494f, 0.000438f, 0.000597f, 0.000538f, 0.000623f, 0.000638f, 0.000736f, 0.000866f, 0.000882f, - 0.000954f, 0.001040f, 0.001070f, 0.001086f, 0.001220f, 0.001274f, 0.001341f, 0.001457f, 0.001513f, 0.001598f, 0.001697f, 0.001781f, - 0.001898f, 0.001970f, 0.002131f, 0.002241f, 0.002401f, 0.002645f, 0.002783f, 0.002892f, 0.003120f, 0.003347f, 0.003508f, 0.003757f, - 0.004032f, 0.004314f, 0.004688f, 0.005066f, 0.005520f, 0.006012f, 0.006702f, 0.007332f, 0.008171f, 0.009140f, 0.010399f, 0.011787f, - 0.013496f, 0.015732f, 0.018509f, 0.022278f, 0.027267f, 0.033813f, 0.042328f, 0.053070f, 0.066406f, 0.082825f, 0.516602f, 0.562500f, - 0.573242f, 0.577637f, 0.580078f, 0.581543f, 0.000000f, 0.000216f, 0.000281f, 0.000346f, 0.000374f, 0.000388f, 0.000491f, 0.000416f, - 0.000516f, 0.000535f, 0.000635f, 0.000625f, 0.000681f, 0.000719f, 0.000790f, 0.000813f, 0.000879f, 0.000926f, 0.000968f, 0.001004f, - 0.001097f, 0.001135f, 0.001229f, 0.001300f, 0.001361f, 0.001431f, 0.001541f, 0.001610f, 0.001711f, 0.001802f, 0.001922f, 0.002094f, - 0.002169f, 0.002346f, 0.002468f, 0.002644f, 0.002844f, 0.003094f, 0.003368f, 0.003586f, 0.003883f, 0.004223f, 0.004662f, 0.005093f, - 0.005680f, 0.006348f, 0.007206f, 0.008202f, 0.009392f, 0.010895f, 0.012939f, 0.015465f, 0.018906f, 0.023682f, 0.030502f, 0.039825f, - 0.051331f, 0.066528f, 0.500977f, 0.548828f, 0.560059f, 0.564453f, 0.567871f, 0.569336f, 0.000000f, 0.000106f, 0.000201f, 0.000252f, - 0.000251f, 0.000322f, 0.000281f, 0.000340f, 0.000359f, 0.000428f, 0.000443f, 0.000419f, 0.000444f, 0.000500f, 0.000524f, 0.000590f, - 0.000574f, 0.000650f, 0.000693f, 0.000732f, 0.000778f, 0.000821f, 0.000848f, 0.000900f, 0.000965f, 0.000982f, 0.001072f, 0.001109f, - 0.001169f, 0.001307f, 0.001301f, 0.001409f, 0.001483f, 0.001610f, 0.001734f, 0.001835f, 0.001940f, 0.002098f, 0.002241f, 0.002426f, - 0.002634f, 0.002865f, 0.003136f, 0.003431f, 0.003763f, 0.004211f, 0.004742f, 0.005417f, 0.006229f, 0.007298f, 0.008621f, 0.010330f, - 0.012650f, 0.015808f, 0.020569f, 0.027908f, 0.037994f, 0.051514f, 0.485840f, 0.536133f, 0.547363f, 0.551758f, 0.554688f, 0.557617f, - 0.000026f, 0.000156f, 0.000201f, 0.000136f, 0.000188f, 0.000187f, 0.000192f, 0.000240f, 0.000245f, 0.000254f, 0.000262f, 0.000311f, - 0.000309f, 0.000331f, 0.000374f, 0.000385f, 0.000411f, 0.000431f, 0.000443f, 0.000461f, 0.000507f, 0.000522f, 0.000562f, 0.000596f, - 0.000634f, 0.000684f, 0.000718f, 0.000735f, 0.000776f, 0.000815f, 0.000875f, 0.000927f, 0.000982f, 0.001053f, 0.001123f, 0.001162f, - 0.001271f, 0.001346f, 0.001473f, 0.001577f, 0.001670f, 0.001838f, 0.002005f, 0.002161f, 0.002405f, 0.002670f, 0.002993f, 0.003399f, - 0.003860f, 0.004528f, 0.005386f, 0.006523f, 0.008003f, 0.010063f, 0.013206f, 0.017990f, 0.026031f, 0.038086f, 0.471191f, 0.522949f, - 0.534668f, 0.540039f, 0.543457f, 0.544922f, 0.000000f, 0.000093f, 0.000084f, 0.000085f, 0.000124f, 0.000145f, 0.000122f, 0.000149f, - 0.000152f, 0.000152f, 0.000158f, 0.000167f, 0.000186f, 0.000209f, 0.000217f, 0.000225f, 0.000231f, 0.000272f, 0.000273f, 0.000301f, - 0.000303f, 0.000310f, 0.000338f, 0.000361f, 0.000387f, 0.000423f, 0.000413f, 0.000436f, 0.000478f, 0.000503f, 0.000525f, 0.000570f, - 0.000608f, 0.000626f, 0.000677f, 0.000706f, 0.000753f, 0.000813f, 0.000884f, 0.000929f, 0.001000f, 0.001094f, 0.001183f, 0.001302f, - 0.001412f, 0.001563f, 0.001769f, 0.001974f, 0.002277f, 0.002626f, 0.003124f, 0.003761f, 0.004665f, 0.005993f, 0.007935f, 0.010818f, - 0.016205f, 0.026138f, 0.456299f, 0.509277f, 0.520996f, 0.527344f, 0.530762f, 0.532715f, 0.000105f, 0.000083f, 0.000072f, 0.000065f, - 0.000071f, 0.000072f, 0.000077f, 0.000084f, 0.000088f, 0.000093f, 0.000095f, 0.000120f, 0.000100f, 0.000108f, 0.000126f, 0.000118f, - 0.000139f, 0.000149f, 0.000153f, 0.000165f, 0.000169f, 0.000172f, 0.000194f, 0.000203f, 0.000233f, 0.000225f, 0.000233f, 0.000253f, - 0.000266f, 0.000275f, 0.000299f, 0.000319f, 0.000338f, 0.000345f, 0.000374f, 0.000384f, 0.000415f, 0.000448f, 0.000483f, 0.000511f, - 0.000543f, 0.000585f, 0.000647f, 0.000692f, 0.000755f, 0.000827f, 0.000924f, 0.001041f, 0.001186f, 0.001372f, 0.001608f, 0.001953f, - 0.002411f, 0.003098f, 0.004238f, 0.005989f, 0.009003f, 0.016006f, 0.441406f, 0.495361f, 0.508301f, 0.514160f, 0.518066f, 0.520508f, - 0.000090f, 0.000067f, 0.000058f, 0.000052f, 0.000047f, 0.000044f, 0.000044f, 0.000040f, 0.000042f, 0.000049f, 0.000042f, 0.000045f, - 0.000059f, 0.000047f, 0.000050f, 0.000054f, 0.000071f, 0.000073f, 0.000075f, 0.000078f, 0.000079f, 0.000084f, 0.000087f, 0.000090f, - 0.000097f, 0.000109f, 0.000108f, 0.000124f, 0.000124f, 0.000131f, 0.000138f, 0.000143f, 0.000155f, 0.000164f, 0.000178f, 0.000182f, - 0.000192f, 0.000209f, 0.000225f, 0.000244f, 0.000259f, 0.000274f, 0.000303f, 0.000321f, 0.000357f, 0.000385f, 0.000429f, 0.000470f, - 0.000537f, 0.000608f, 0.000710f, 0.000852f, 0.001052f, 0.001371f, 0.001877f, 0.002762f, 0.004406f, 0.008202f, 0.426270f, 0.483154f, - 0.495605f, 0.500977f, 0.505371f, 0.507324f, 0.000067f, 0.000047f, 0.000039f, 0.000035f, 0.000032f, 0.000030f, 0.000029f, 0.000027f, - 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000020f, 0.000024f, 0.000028f, 0.000030f, - 0.000029f, 0.000032f, 0.000035f, 0.000034f, 0.000036f, 0.000044f, 0.000046f, 0.000040f, 0.000048f, 0.000047f, 0.000051f, 0.000053f, - 0.000059f, 0.000059f, 0.000064f, 0.000066f, 0.000077f, 0.000079f, 0.000081f, 0.000091f, 0.000094f, 0.000100f, 0.000108f, 0.000119f, - 0.000129f, 0.000137f, 0.000148f, 0.000173f, 0.000191f, 0.000210f, 0.000249f, 0.000292f, 0.000357f, 0.000448f, 0.000629f, 0.000943f, - 0.001630f, 0.003332f, 0.411377f, 0.468506f, 0.482910f, 0.488770f, 0.492188f, 0.495117f, 0.000025f, 0.000018f, 0.000015f, 0.000013f, - 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, - 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, - 0.000008f, 0.000010f, 0.000010f, 0.000010f, 0.000012f, 0.000014f, 0.000014f, 0.000014f, 0.000016f, 0.000018f, 0.000019f, 0.000021f, - 0.000020f, 0.000023f, 0.000025f, 0.000027f, 0.000027f, 0.000029f, 0.000035f, 0.000033f, 0.000040f, 0.000044f, 0.000052f, 0.000061f, - 0.000069f, 0.000087f, 0.000117f, 0.000174f, 0.000319f, 0.000847f, 0.395996f, 0.454834f, 0.468750f, 0.475586f, 0.479004f, 0.481689f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, - 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000009f, 0.000027f, 0.381348f, 0.441406f, - 0.455566f, 0.462891f, 0.466309f, 0.468994f, - }, - { - 0.016769f, 0.050629f, 0.083740f, 0.116638f, 0.148071f, 0.178955f, 0.208374f, 0.236938f, 0.265137f, 0.291992f, 0.317871f, 0.343994f, - 0.368164f, 0.391846f, 0.415527f, 0.437988f, 0.459717f, 0.480469f, 0.501465f, 0.520996f, 0.540527f, 0.559082f, 0.577637f, 0.594727f, - 0.612305f, 0.628418f, 0.644531f, 0.661133f, 0.676270f, 0.691406f, 0.705566f, 0.719727f, 0.734375f, 0.747070f, 0.760254f, 0.773438f, - 0.786133f, 0.798828f, 0.810059f, 0.821777f, 0.833008f, 0.843262f, 0.854492f, 0.865234f, 0.875488f, 0.885254f, 0.895508f, 0.904297f, - 0.913574f, 0.923340f, 0.932617f, 0.940918f, 0.949707f, 0.958008f, 0.966309f, 0.974609f, 0.981934f, 0.990234f, 0.985352f, 0.965332f, - 0.950195f, 0.937500f, 0.926270f, 0.915527f, 0.015083f, 0.045929f, 0.075806f, 0.105408f, 0.135254f, 0.163208f, 0.191772f, 0.219238f, - 0.245239f, 0.271973f, 0.297363f, 0.321045f, 0.345947f, 0.369141f, 0.391846f, 0.414062f, 0.435791f, 0.456787f, 0.477295f, 0.497314f, - 0.516113f, 0.535645f, 0.554199f, 0.571777f, 0.588867f, 0.606445f, 0.623047f, 0.639160f, 0.654785f, 0.669434f, 0.685059f, 0.699219f, - 0.713379f, 0.728027f, 0.741211f, 0.754883f, 0.767578f, 0.780273f, 0.792480f, 0.804688f, 0.815918f, 0.826660f, 0.838867f, 0.850098f, - 0.859863f, 0.871094f, 0.880859f, 0.891113f, 0.900879f, 0.909180f, 0.919434f, 0.929688f, 0.937500f, 0.946289f, 0.954590f, 0.963379f, - 0.971191f, 0.979004f, 0.980469f, 0.961426f, 0.947266f, 0.935059f, 0.924316f, 0.914062f, 0.013573f, 0.040955f, 0.068848f, 0.096313f, - 0.123169f, 0.150635f, 0.175537f, 0.202026f, 0.228271f, 0.251709f, 0.276367f, 0.300781f, 0.323730f, 0.347168f, 0.369385f, 0.390625f, - 0.412354f, 0.433594f, 0.454346f, 0.473145f, 0.491943f, 0.512207f, 0.529785f, 0.549316f, 0.566406f, 0.583008f, 0.600586f, 0.616211f, - 0.633301f, 0.648438f, 0.663574f, 0.679199f, 0.693359f, 0.708008f, 0.721680f, 0.735840f, 0.748535f, 0.762207f, 0.773926f, 0.786621f, - 0.798340f, 0.811035f, 0.822754f, 0.833984f, 0.845215f, 0.855957f, 0.865723f, 0.876465f, 0.886719f, 0.895508f, 0.906738f, 0.916016f, - 0.925293f, 0.934570f, 0.943848f, 0.952148f, 0.960449f, 0.969238f, 0.976074f, 0.958008f, 0.944336f, 0.932617f, 0.921875f, 0.912109f, - 0.012329f, 0.037201f, 0.062164f, 0.087646f, 0.112488f, 0.137451f, 0.161865f, 0.187134f, 0.210938f, 0.234253f, 0.258301f, 0.281006f, - 0.303467f, 0.325195f, 0.347656f, 0.368652f, 0.389648f, 0.410400f, 0.430664f, 0.450928f, 0.470215f, 0.488770f, 0.507812f, 0.525391f, - 0.543457f, 0.560059f, 0.579102f, 0.593750f, 0.611816f, 0.627441f, 0.643066f, 0.658203f, 0.672363f, 0.687500f, 0.702148f, 0.715820f, - 0.729004f, 0.742676f, 0.755371f, 0.768066f, 0.781738f, 0.792969f, 0.805176f, 0.816895f, 0.829102f, 0.839844f, 0.850586f, 0.861816f, - 0.872559f, 0.882812f, 0.893066f, 0.902832f, 0.912109f, 0.921875f, 0.930664f, 0.940430f, 0.948242f, 0.958008f, 0.970703f, 0.953613f, - 0.940430f, 0.929199f, 0.919434f, 0.910156f, 0.010979f, 0.033752f, 0.056763f, 0.080139f, 0.103516f, 0.126221f, 0.149414f, 0.172485f, - 0.195435f, 0.218262f, 0.240356f, 0.261719f, 0.284180f, 0.306396f, 0.326416f, 0.347900f, 0.368408f, 0.389160f, 0.408691f, 0.427979f, - 0.447754f, 0.467041f, 0.484863f, 0.502441f, 0.520996f, 0.538086f, 0.555664f, 0.573242f, 0.589355f, 0.604980f, 0.622559f, 0.637207f, - 0.652832f, 0.666992f, 0.680664f, 0.695801f, 0.710938f, 0.724121f, 0.737305f, 0.750977f, 0.763672f, 0.776855f, 0.789062f, 0.799805f, - 0.812012f, 0.824219f, 0.835449f, 0.846680f, 0.857910f, 0.868164f, 0.878418f, 0.889160f, 0.898926f, 0.909180f, 0.917969f, 0.928223f, - 0.937012f, 0.946777f, 0.965820f, 0.949707f, 0.937012f, 0.926270f, 0.916504f, 0.907715f, 0.009941f, 0.030746f, 0.051514f, 0.073181f, - 0.094116f, 0.116028f, 0.137817f, 0.158691f, 0.180664f, 0.202637f, 0.223511f, 0.244873f, 0.265869f, 0.285889f, 0.307129f, 0.327881f, - 0.347412f, 0.367188f, 0.387207f, 0.405762f, 0.425537f, 0.444092f, 0.462646f, 0.481201f, 0.499756f, 0.516602f, 0.533691f, 0.550781f, - 0.567383f, 0.583984f, 0.599609f, 0.616211f, 0.630859f, 0.647461f, 0.661621f, 0.676758f, 0.689453f, 0.704590f, 0.718750f, 0.731934f, - 0.745117f, 0.757812f, 0.770996f, 0.783691f, 0.796387f, 0.807617f, 0.819824f, 0.831543f, 0.842773f, 0.854004f, 0.864258f, 0.875488f, - 0.885742f, 0.895508f, 0.905762f, 0.915527f, 0.925781f, 0.934570f, 0.960449f, 0.945312f, 0.933594f, 0.922852f, 0.913574f, 0.905273f, - 0.009003f, 0.027756f, 0.046997f, 0.066711f, 0.085999f, 0.106506f, 0.127075f, 0.146973f, 0.166992f, 0.187500f, 0.207886f, 0.228149f, - 0.248169f, 0.268311f, 0.287842f, 0.307861f, 0.327393f, 0.347656f, 0.365967f, 0.385010f, 0.404541f, 0.422363f, 0.441162f, 0.458740f, - 0.477783f, 0.495117f, 0.512207f, 0.529297f, 0.546387f, 0.562012f, 0.578613f, 0.595215f, 0.610840f, 0.625977f, 0.641113f, 0.656738f, - 0.670410f, 0.685059f, 0.699707f, 0.714355f, 0.727051f, 0.741699f, 0.752441f, 0.767090f, 0.778809f, 0.791504f, 0.803711f, 0.815430f, - 0.827148f, 0.838867f, 0.850098f, 0.860840f, 0.872070f, 0.881836f, 0.893066f, 0.903809f, 0.913574f, 0.923828f, 0.955078f, 0.940918f, - 0.929199f, 0.919922f, 0.911133f, 0.902344f, 0.008469f, 0.025375f, 0.043121f, 0.060944f, 0.079468f, 0.097961f, 0.116394f, 0.135620f, - 0.154541f, 0.174072f, 0.193115f, 0.212280f, 0.231689f, 0.250732f, 0.270264f, 0.289307f, 0.307861f, 0.327148f, 0.345215f, 0.364990f, - 0.382812f, 0.401123f, 0.418945f, 0.437012f, 0.455811f, 0.472900f, 0.490234f, 0.507812f, 0.524414f, 0.541016f, 0.558105f, 0.573242f, - 0.590332f, 0.605469f, 0.620117f, 0.636230f, 0.651367f, 0.665039f, 0.679688f, 0.694336f, 0.708496f, 0.722168f, 0.735840f, 0.750000f, - 0.762695f, 0.774902f, 0.787598f, 0.798828f, 0.811523f, 0.823730f, 0.834473f, 0.846191f, 0.857910f, 0.868652f, 0.879883f, 0.891113f, - 0.900391f, 0.911133f, 0.949219f, 0.937012f, 0.925293f, 0.916016f, 0.907227f, 0.899414f, 0.007618f, 0.023178f, 0.039490f, 0.055542f, - 0.072937f, 0.090271f, 0.107605f, 0.125122f, 0.142944f, 0.160889f, 0.178955f, 0.197510f, 0.216553f, 0.234497f, 0.252686f, 0.271240f, - 0.289795f, 0.307861f, 0.326172f, 0.344238f, 0.362549f, 0.380859f, 0.398438f, 0.416504f, 0.433838f, 0.452393f, 0.468994f, 0.485840f, - 0.502930f, 0.519531f, 0.536133f, 0.553223f, 0.569336f, 0.584473f, 0.599609f, 0.615234f, 0.631348f, 0.646484f, 0.659668f, 0.675293f, - 0.689941f, 0.703125f, 0.716797f, 0.730957f, 0.744141f, 0.756836f, 0.771484f, 0.782227f, 0.795898f, 0.807617f, 0.819824f, 0.831543f, - 0.843750f, 0.854980f, 0.866211f, 0.877441f, 0.888672f, 0.898438f, 0.943359f, 0.931641f, 0.921387f, 0.912109f, 0.903809f, 0.896484f, - 0.007118f, 0.021255f, 0.035889f, 0.051514f, 0.066895f, 0.083191f, 0.098999f, 0.115540f, 0.132324f, 0.149292f, 0.166260f, 0.183716f, - 0.200928f, 0.218628f, 0.236084f, 0.253906f, 0.272217f, 0.289795f, 0.307617f, 0.325439f, 0.342529f, 0.360596f, 0.378906f, 0.395996f, - 0.413330f, 0.430908f, 0.447510f, 0.465332f, 0.481934f, 0.497803f, 0.514648f, 0.531738f, 0.547852f, 0.562988f, 0.579102f, 0.595215f, - 0.610840f, 0.625977f, 0.641113f, 0.655273f, 0.670410f, 0.685059f, 0.698730f, 0.712891f, 0.726074f, 0.739258f, 0.753418f, 0.766113f, - 0.779785f, 0.791992f, 0.803711f, 0.816406f, 0.829102f, 0.839844f, 0.852539f, 0.863770f, 0.874512f, 0.886719f, 0.937988f, 0.926758f, - 0.917480f, 0.908203f, 0.900391f, 0.893066f, 0.006481f, 0.019775f, 0.032928f, 0.047272f, 0.061371f, 0.076233f, 0.091064f, 0.107117f, - 0.122559f, 0.138062f, 0.154663f, 0.170532f, 0.187256f, 0.204346f, 0.220947f, 0.237915f, 0.254883f, 0.272217f, 0.289062f, 0.306641f, - 0.323730f, 0.341064f, 0.358643f, 0.375732f, 0.393555f, 0.410645f, 0.426758f, 0.444580f, 0.461182f, 0.477783f, 0.494141f, 0.510254f, - 0.526855f, 0.543457f, 0.559082f, 0.574219f, 0.590332f, 0.605957f, 0.621094f, 0.634766f, 0.650879f, 0.665039f, 0.679688f, 0.694824f, - 0.708008f, 0.722656f, 0.736816f, 0.749023f, 0.762695f, 0.775391f, 0.788086f, 0.801270f, 0.813965f, 0.826172f, 0.838379f, 0.849121f, - 0.861328f, 0.873535f, 0.932129f, 0.921875f, 0.912598f, 0.904297f, 0.896484f, 0.889160f, 0.005924f, 0.017899f, 0.030426f, 0.043427f, - 0.056824f, 0.070435f, 0.084106f, 0.098755f, 0.112976f, 0.128052f, 0.143311f, 0.158936f, 0.174072f, 0.189575f, 0.206421f, 0.222534f, - 0.238403f, 0.255615f, 0.271729f, 0.288818f, 0.305908f, 0.322021f, 0.339355f, 0.356445f, 0.373291f, 0.390137f, 0.407227f, 0.423584f, - 0.440430f, 0.457031f, 0.472900f, 0.489502f, 0.506836f, 0.521973f, 0.538574f, 0.554688f, 0.570312f, 0.585449f, 0.601074f, 0.616211f, - 0.631348f, 0.646484f, 0.661621f, 0.675781f, 0.690430f, 0.704590f, 0.717285f, 0.731934f, 0.746094f, 0.759277f, 0.771973f, 0.785156f, - 0.798340f, 0.810547f, 0.823242f, 0.835938f, 0.848145f, 0.860352f, 0.925781f, 0.916504f, 0.908203f, 0.900391f, 0.893066f, 0.886719f, - 0.005573f, 0.016693f, 0.028366f, 0.040192f, 0.052277f, 0.064880f, 0.078064f, 0.090698f, 0.105042f, 0.118591f, 0.133057f, 0.147461f, - 0.162231f, 0.177612f, 0.192383f, 0.207886f, 0.223633f, 0.239502f, 0.255615f, 0.272217f, 0.288330f, 0.304932f, 0.320312f, 0.337646f, - 0.354004f, 0.369873f, 0.386719f, 0.403320f, 0.419922f, 0.437012f, 0.453369f, 0.469482f, 0.485596f, 0.501465f, 0.517578f, 0.534180f, - 0.549316f, 0.565918f, 0.581055f, 0.595703f, 0.611328f, 0.626953f, 0.641602f, 0.657227f, 0.671387f, 0.686523f, 0.699707f, 0.714355f, - 0.729004f, 0.742676f, 0.756348f, 0.769043f, 0.782715f, 0.795410f, 0.809082f, 0.821289f, 0.833984f, 0.846680f, 0.919434f, 0.911133f, - 0.903320f, 0.895508f, 0.888672f, 0.882324f, 0.005016f, 0.015396f, 0.026169f, 0.037231f, 0.048126f, 0.059937f, 0.071716f, 0.084167f, - 0.096680f, 0.109558f, 0.123169f, 0.136719f, 0.150269f, 0.164917f, 0.179077f, 0.194580f, 0.208984f, 0.223877f, 0.239746f, 0.255127f, - 0.270996f, 0.286377f, 0.302490f, 0.319336f, 0.335205f, 0.351318f, 0.367432f, 0.383545f, 0.399902f, 0.415771f, 0.432373f, 0.448975f, - 0.465088f, 0.481934f, 0.497314f, 0.513672f, 0.529785f, 0.544434f, 0.561035f, 0.576660f, 0.592285f, 0.607422f, 0.622559f, 0.638184f, - 0.652344f, 0.667480f, 0.681641f, 0.696777f, 0.711426f, 0.725586f, 0.738770f, 0.753418f, 0.766602f, 0.779297f, 0.793945f, 0.807129f, - 0.819824f, 0.833008f, 0.913086f, 0.906738f, 0.898438f, 0.890625f, 0.884277f, 0.878418f, 0.004738f, 0.014053f, 0.024017f, 0.033752f, - 0.044495f, 0.055328f, 0.066467f, 0.078064f, 0.089661f, 0.102051f, 0.114258f, 0.126831f, 0.139771f, 0.153564f, 0.167114f, 0.181030f, - 0.195190f, 0.209839f, 0.224731f, 0.239136f, 0.253906f, 0.269531f, 0.285156f, 0.300293f, 0.317139f, 0.332520f, 0.348145f, 0.364990f, - 0.380859f, 0.396240f, 0.412109f, 0.428711f, 0.444336f, 0.460938f, 0.477295f, 0.492676f, 0.509277f, 0.524902f, 0.540527f, 0.556641f, - 0.572266f, 0.587402f, 0.604004f, 0.618164f, 0.633301f, 0.648438f, 0.664062f, 0.678223f, 0.693359f, 0.708008f, 0.722656f, 0.736328f, - 0.750000f, 0.764160f, 0.777832f, 0.791016f, 0.805176f, 0.817871f, 0.907227f, 0.900879f, 0.894043f, 0.886719f, 0.880371f, 0.874512f, - 0.004105f, 0.012741f, 0.022491f, 0.031769f, 0.041107f, 0.051208f, 0.061249f, 0.071777f, 0.083069f, 0.093811f, 0.105896f, 0.117554f, - 0.129761f, 0.142212f, 0.155273f, 0.168579f, 0.182251f, 0.196167f, 0.210449f, 0.223755f, 0.238525f, 0.253662f, 0.268799f, 0.283447f, - 0.298828f, 0.313965f, 0.329834f, 0.344971f, 0.361328f, 0.376953f, 0.393066f, 0.408691f, 0.424561f, 0.441406f, 0.457031f, 0.472656f, - 0.488770f, 0.504883f, 0.520996f, 0.536133f, 0.551758f, 0.567871f, 0.583496f, 0.599121f, 0.614258f, 0.629395f, 0.645996f, 0.660156f, - 0.675781f, 0.689453f, 0.704102f, 0.719727f, 0.733398f, 0.747559f, 0.761719f, 0.776367f, 0.789062f, 0.803223f, 0.899902f, 0.895020f, - 0.888184f, 0.881836f, 0.875488f, 0.870117f, 0.003925f, 0.011978f, 0.020538f, 0.028763f, 0.038269f, 0.047028f, 0.056732f, 0.066223f, - 0.076904f, 0.086731f, 0.097900f, 0.109314f, 0.120483f, 0.132324f, 0.144653f, 0.156982f, 0.169678f, 0.183228f, 0.196289f, 0.209961f, - 0.223633f, 0.237427f, 0.251953f, 0.266602f, 0.281982f, 0.296875f, 0.312012f, 0.326660f, 0.342041f, 0.357910f, 0.373779f, 0.389404f, - 0.404785f, 0.420166f, 0.436768f, 0.452637f, 0.468506f, 0.484863f, 0.500977f, 0.516602f, 0.531738f, 0.546875f, 0.563965f, 0.579102f, - 0.595215f, 0.610840f, 0.625977f, 0.641602f, 0.657227f, 0.671387f, 0.687500f, 0.702148f, 0.716309f, 0.731445f, 0.746094f, 0.760742f, - 0.774414f, 0.788086f, 0.893066f, 0.889648f, 0.882812f, 0.876953f, 0.870605f, 0.865723f, 0.003704f, 0.011169f, 0.019165f, 0.026550f, - 0.035339f, 0.043488f, 0.052277f, 0.061066f, 0.071045f, 0.080933f, 0.090576f, 0.101074f, 0.111877f, 0.122925f, 0.134277f, 0.146118f, - 0.157837f, 0.170288f, 0.183105f, 0.195557f, 0.209351f, 0.222900f, 0.236328f, 0.250732f, 0.264893f, 0.279297f, 0.294189f, 0.308838f, - 0.323975f, 0.339844f, 0.354736f, 0.370117f, 0.385986f, 0.401367f, 0.416504f, 0.432861f, 0.448486f, 0.463867f, 0.480469f, 0.497070f, - 0.511719f, 0.527832f, 0.544434f, 0.559570f, 0.575684f, 0.591797f, 0.606934f, 0.623047f, 0.638184f, 0.654297f, 0.668945f, 0.684570f, - 0.699219f, 0.714355f, 0.729492f, 0.744629f, 0.758789f, 0.773926f, 0.886230f, 0.883301f, 0.877441f, 0.871582f, 0.866211f, 0.860840f, - 0.003500f, 0.010292f, 0.017395f, 0.024963f, 0.032440f, 0.040344f, 0.048462f, 0.057098f, 0.065063f, 0.074646f, 0.083679f, 0.093445f, - 0.103882f, 0.114136f, 0.124451f, 0.135498f, 0.146606f, 0.158447f, 0.170410f, 0.182739f, 0.195435f, 0.208008f, 0.221558f, 0.234863f, - 0.248657f, 0.262695f, 0.276855f, 0.291748f, 0.306152f, 0.320801f, 0.335693f, 0.350830f, 0.365967f, 0.382080f, 0.396973f, 0.413330f, - 0.429199f, 0.444336f, 0.459473f, 0.476074f, 0.492188f, 0.507812f, 0.524414f, 0.540039f, 0.555664f, 0.571777f, 0.586914f, 0.604004f, - 0.619629f, 0.635742f, 0.650391f, 0.666504f, 0.682129f, 0.697754f, 0.712891f, 0.728027f, 0.743164f, 0.758301f, 0.878906f, 0.877441f, - 0.871582f, 0.866699f, 0.860840f, 0.856445f, 0.003084f, 0.009697f, 0.016403f, 0.022659f, 0.029892f, 0.037354f, 0.044281f, 0.052338f, - 0.060516f, 0.068970f, 0.077515f, 0.086243f, 0.096069f, 0.105713f, 0.115356f, 0.125610f, 0.136353f, 0.147339f, 0.158081f, 0.170410f, - 0.181396f, 0.194458f, 0.207275f, 0.219482f, 0.232910f, 0.246704f, 0.260010f, 0.274170f, 0.288330f, 0.302979f, 0.317383f, 0.332764f, - 0.347656f, 0.363037f, 0.378174f, 0.392578f, 0.408936f, 0.424316f, 0.440430f, 0.456299f, 0.472656f, 0.488525f, 0.503906f, 0.519531f, - 0.535645f, 0.552734f, 0.568359f, 0.584961f, 0.600586f, 0.616699f, 0.633301f, 0.648438f, 0.663574f, 0.679199f, 0.694824f, 0.710938f, - 0.726074f, 0.742188f, 0.872559f, 0.870605f, 0.865723f, 0.860840f, 0.855957f, 0.851074f, 0.002913f, 0.008781f, 0.014938f, 0.021759f, - 0.027878f, 0.034393f, 0.041412f, 0.048737f, 0.055969f, 0.063599f, 0.072021f, 0.080200f, 0.088928f, 0.097839f, 0.106934f, 0.116150f, - 0.126587f, 0.136353f, 0.147095f, 0.157715f, 0.169189f, 0.181519f, 0.193481f, 0.205933f, 0.217773f, 0.231323f, 0.244629f, 0.257812f, - 0.271240f, 0.285400f, 0.299561f, 0.314453f, 0.329590f, 0.343506f, 0.358887f, 0.373779f, 0.389648f, 0.405029f, 0.420410f, 0.437012f, - 0.452393f, 0.468262f, 0.484375f, 0.500000f, 0.516113f, 0.532227f, 0.548828f, 0.564941f, 0.581055f, 0.597168f, 0.612793f, 0.629883f, - 0.645508f, 0.662109f, 0.678223f, 0.694336f, 0.709473f, 0.726074f, 0.863770f, 0.864258f, 0.859863f, 0.854980f, 0.850586f, 0.846191f, - 0.002815f, 0.008194f, 0.013954f, 0.019653f, 0.025696f, 0.031982f, 0.038177f, 0.044830f, 0.051819f, 0.058502f, 0.066162f, 0.073792f, - 0.082031f, 0.090393f, 0.098999f, 0.107605f, 0.117493f, 0.126709f, 0.137207f, 0.146729f, 0.157593f, 0.168579f, 0.179810f, 0.191772f, - 0.203369f, 0.215820f, 0.228882f, 0.241455f, 0.254395f, 0.268311f, 0.282227f, 0.296631f, 0.310303f, 0.325439f, 0.339844f, 0.354736f, - 0.370361f, 0.385742f, 0.400879f, 0.416504f, 0.432617f, 0.448486f, 0.464355f, 0.479980f, 0.496094f, 0.513184f, 0.528809f, 0.545410f, - 0.561035f, 0.578613f, 0.594727f, 0.611328f, 0.626953f, 0.643555f, 0.660156f, 0.676270f, 0.693359f, 0.709473f, 0.856445f, 0.858398f, - 0.854492f, 0.849121f, 0.845215f, 0.841309f, 0.002583f, 0.007492f, 0.012878f, 0.018417f, 0.023941f, 0.029495f, 0.035339f, 0.041779f, - 0.047577f, 0.054047f, 0.061523f, 0.068787f, 0.075562f, 0.083313f, 0.091858f, 0.099792f, 0.108521f, 0.117615f, 0.126709f, 0.136108f, - 0.146851f, 0.156860f, 0.166992f, 0.178345f, 0.189819f, 0.202148f, 0.213623f, 0.225830f, 0.238892f, 0.252197f, 0.265137f, 0.278809f, - 0.292480f, 0.306885f, 0.321045f, 0.336914f, 0.350830f, 0.366943f, 0.381348f, 0.396240f, 0.412354f, 0.428223f, 0.444336f, 0.460449f, - 0.476318f, 0.493408f, 0.509277f, 0.525879f, 0.542480f, 0.559082f, 0.574707f, 0.591797f, 0.608398f, 0.625488f, 0.642090f, 0.659180f, - 0.675781f, 0.691406f, 0.848145f, 0.851562f, 0.848145f, 0.843750f, 0.838867f, 0.835449f, 0.002512f, 0.007374f, 0.012115f, 0.016983f, - 0.022064f, 0.027359f, 0.032715f, 0.038147f, 0.044373f, 0.050354f, 0.056641f, 0.063293f, 0.070190f, 0.077026f, 0.084717f, 0.092041f, - 0.100342f, 0.108398f, 0.117554f, 0.126221f, 0.135742f, 0.145142f, 0.155151f, 0.165771f, 0.176758f, 0.187988f, 0.199341f, 0.210815f, - 0.223389f, 0.236206f, 0.249023f, 0.261719f, 0.275879f, 0.289062f, 0.303467f, 0.317627f, 0.332520f, 0.347412f, 0.361816f, 0.377197f, - 0.393066f, 0.407959f, 0.424072f, 0.440186f, 0.457031f, 0.473145f, 0.489502f, 0.505859f, 0.522461f, 0.540039f, 0.555664f, 0.572754f, - 0.589844f, 0.606445f, 0.623535f, 0.640625f, 0.658203f, 0.675781f, 0.840820f, 0.843750f, 0.841309f, 0.836914f, 0.833984f, 0.830566f, - 0.002369f, 0.006668f, 0.011093f, 0.015778f, 0.020523f, 0.025223f, 0.030701f, 0.035339f, 0.040710f, 0.046600f, 0.051971f, 0.058075f, - 0.064819f, 0.071228f, 0.077942f, 0.085205f, 0.092224f, 0.100464f, 0.108398f, 0.116882f, 0.125610f, 0.134155f, 0.143555f, 0.153564f, - 0.164062f, 0.174316f, 0.185303f, 0.196899f, 0.208496f, 0.220093f, 0.232666f, 0.245239f, 0.258057f, 0.271729f, 0.285645f, 0.299561f, - 0.313721f, 0.328613f, 0.342773f, 0.358154f, 0.373535f, 0.388916f, 0.405518f, 0.419922f, 0.437012f, 0.453125f, 0.469238f, 0.486328f, - 0.502930f, 0.519531f, 0.536133f, 0.553223f, 0.571289f, 0.588379f, 0.605469f, 0.623047f, 0.640137f, 0.656250f, 0.833008f, 0.837402f, - 0.834473f, 0.831055f, 0.827637f, 0.824219f, 0.002188f, 0.006027f, 0.010582f, 0.014297f, 0.018921f, 0.023270f, 0.028183f, 0.032593f, - 0.037781f, 0.042999f, 0.048584f, 0.053650f, 0.059601f, 0.065369f, 0.071899f, 0.078369f, 0.085449f, 0.092407f, 0.099609f, 0.107788f, - 0.115601f, 0.124451f, 0.133301f, 0.142212f, 0.151978f, 0.161865f, 0.172363f, 0.182617f, 0.193970f, 0.205566f, 0.217407f, 0.229858f, - 0.241943f, 0.254639f, 0.268311f, 0.281494f, 0.295654f, 0.310059f, 0.324219f, 0.339600f, 0.353760f, 0.369629f, 0.385010f, 0.400879f, - 0.417725f, 0.433594f, 0.449219f, 0.465820f, 0.482910f, 0.499512f, 0.517090f, 0.534180f, 0.551270f, 0.568848f, 0.586426f, 0.604004f, - 0.622559f, 0.639160f, 0.824219f, 0.830078f, 0.827637f, 0.824707f, 0.821777f, 0.818359f, 0.002098f, 0.005634f, 0.009354f, 0.013557f, - 0.017685f, 0.021576f, 0.025604f, 0.030380f, 0.034943f, 0.039429f, 0.044281f, 0.049255f, 0.055023f, 0.060577f, 0.066101f, 0.072144f, - 0.078491f, 0.085083f, 0.091858f, 0.098999f, 0.106873f, 0.114502f, 0.122498f, 0.131592f, 0.140137f, 0.149536f, 0.159424f, 0.169556f, - 0.180054f, 0.191162f, 0.202026f, 0.213989f, 0.226318f, 0.239136f, 0.250977f, 0.264648f, 0.278320f, 0.291748f, 0.305908f, 0.320557f, - 0.334961f, 0.350342f, 0.365479f, 0.381592f, 0.397461f, 0.413818f, 0.429199f, 0.446289f, 0.462891f, 0.479736f, 0.496338f, 0.514160f, - 0.530762f, 0.548828f, 0.566406f, 0.584473f, 0.602539f, 0.621582f, 0.815918f, 0.823730f, 0.821289f, 0.817871f, 0.815430f, 0.812500f, - 0.001772f, 0.005249f, 0.008995f, 0.012260f, 0.016251f, 0.020020f, 0.024216f, 0.027603f, 0.032196f, 0.036377f, 0.041199f, 0.045410f, - 0.050110f, 0.055603f, 0.061005f, 0.066406f, 0.072327f, 0.077820f, 0.084290f, 0.090942f, 0.098083f, 0.105164f, 0.113037f, 0.120789f, - 0.129272f, 0.138062f, 0.147339f, 0.156982f, 0.166626f, 0.176758f, 0.187866f, 0.199097f, 0.210449f, 0.222412f, 0.234985f, 0.247559f, - 0.260742f, 0.273682f, 0.287598f, 0.302002f, 0.316650f, 0.331299f, 0.346191f, 0.362061f, 0.377686f, 0.393066f, 0.409668f, 0.426514f, - 0.443115f, 0.459717f, 0.476807f, 0.494629f, 0.511230f, 0.529785f, 0.547852f, 0.565430f, 0.583984f, 0.602539f, 0.806152f, 0.814453f, - 0.813965f, 0.811035f, 0.809082f, 0.806641f, 0.001631f, 0.005131f, 0.008186f, 0.011673f, 0.014938f, 0.018463f, 0.021957f, 0.025635f, - 0.029083f, 0.033325f, 0.037445f, 0.041840f, 0.046478f, 0.050751f, 0.055634f, 0.060760f, 0.065979f, 0.071472f, 0.077515f, 0.083801f, - 0.090027f, 0.096802f, 0.104065f, 0.110840f, 0.119080f, 0.127197f, 0.135498f, 0.144775f, 0.153931f, 0.163574f, 0.173462f, 0.184570f, - 0.195312f, 0.207153f, 0.218506f, 0.230591f, 0.243652f, 0.256348f, 0.270020f, 0.283691f, 0.297852f, 0.312744f, 0.326904f, 0.342529f, - 0.357910f, 0.373535f, 0.389404f, 0.406494f, 0.421875f, 0.439941f, 0.457275f, 0.474365f, 0.492432f, 0.509766f, 0.527832f, 0.546875f, - 0.564941f, 0.584473f, 0.797852f, 0.807129f, 0.807129f, 0.804199f, 0.801758f, 0.799316f, 0.001632f, 0.004704f, 0.007912f, 0.010788f, - 0.013870f, 0.017105f, 0.020187f, 0.023483f, 0.026932f, 0.030563f, 0.034332f, 0.038086f, 0.042694f, 0.046631f, 0.050995f, 0.055725f, - 0.060486f, 0.065674f, 0.070862f, 0.076721f, 0.082825f, 0.088623f, 0.094910f, 0.102112f, 0.109070f, 0.116516f, 0.124695f, 0.133057f, - 0.141968f, 0.151001f, 0.160522f, 0.170776f, 0.181030f, 0.191650f, 0.202881f, 0.214722f, 0.227417f, 0.239624f, 0.252686f, 0.265625f, - 0.279785f, 0.293213f, 0.308350f, 0.323242f, 0.338867f, 0.354248f, 0.370117f, 0.386475f, 0.403076f, 0.420410f, 0.437012f, 0.454102f, - 0.471924f, 0.490234f, 0.508789f, 0.526855f, 0.545410f, 0.564453f, 0.788086f, 0.799316f, 0.798828f, 0.797852f, 0.794434f, 0.791992f, - 0.001594f, 0.004177f, 0.007122f, 0.010201f, 0.012344f, 0.015839f, 0.018372f, 0.021683f, 0.024857f, 0.028534f, 0.031464f, 0.035034f, - 0.038879f, 0.042572f, 0.046295f, 0.051056f, 0.055389f, 0.059723f, 0.064697f, 0.069763f, 0.075073f, 0.080750f, 0.087219f, 0.093445f, - 0.099548f, 0.107056f, 0.114136f, 0.121887f, 0.130249f, 0.138794f, 0.147217f, 0.157104f, 0.166748f, 0.177124f, 0.187988f, 0.199097f, - 0.210693f, 0.222778f, 0.235352f, 0.248169f, 0.261719f, 0.275635f, 0.289062f, 0.303955f, 0.319336f, 0.334717f, 0.350098f, 0.365479f, - 0.382324f, 0.398926f, 0.416016f, 0.433594f, 0.451904f, 0.469238f, 0.487549f, 0.506348f, 0.525391f, 0.544922f, 0.779297f, 0.791504f, - 0.791504f, 0.789551f, 0.788086f, 0.786133f, 0.001365f, 0.004173f, 0.006222f, 0.008842f, 0.011703f, 0.014366f, 0.017242f, 0.020218f, - 0.022903f, 0.025787f, 0.028824f, 0.032227f, 0.035522f, 0.038818f, 0.042511f, 0.046326f, 0.050507f, 0.054657f, 0.058594f, 0.063660f, - 0.068359f, 0.073914f, 0.078918f, 0.085083f, 0.091125f, 0.097534f, 0.104126f, 0.111511f, 0.118896f, 0.126831f, 0.135742f, 0.144043f, - 0.153564f, 0.163330f, 0.173462f, 0.184082f, 0.195068f, 0.206787f, 0.218628f, 0.231079f, 0.243896f, 0.257080f, 0.270996f, 0.285645f, - 0.300049f, 0.314941f, 0.330322f, 0.346191f, 0.362305f, 0.379395f, 0.395508f, 0.412842f, 0.431641f, 0.448975f, 0.468262f, 0.487549f, - 0.505371f, 0.525391f, 0.769531f, 0.783691f, 0.783691f, 0.782715f, 0.781250f, 0.778809f, 0.001230f, 0.003925f, 0.006268f, 0.008659f, - 0.010796f, 0.013145f, 0.015617f, 0.018234f, 0.021133f, 0.023682f, 0.026215f, 0.029251f, 0.032349f, 0.035400f, 0.038696f, 0.042206f, - 0.045807f, 0.049377f, 0.053925f, 0.057953f, 0.062500f, 0.067078f, 0.071777f, 0.077271f, 0.082703f, 0.088806f, 0.094910f, 0.101379f, - 0.109192f, 0.115967f, 0.123779f, 0.131470f, 0.140259f, 0.149536f, 0.159302f, 0.169312f, 0.180054f, 0.190674f, 0.202515f, 0.214722f, - 0.226562f, 0.239624f, 0.253174f, 0.266602f, 0.281738f, 0.295898f, 0.311035f, 0.326904f, 0.342529f, 0.359131f, 0.375732f, 0.393066f, - 0.410400f, 0.428467f, 0.447510f, 0.466064f, 0.485596f, 0.504883f, 0.759277f, 0.774902f, 0.775879f, 0.774902f, 0.773438f, 0.771973f, - 0.001031f, 0.003601f, 0.005604f, 0.007858f, 0.009880f, 0.012146f, 0.014549f, 0.016998f, 0.019043f, 0.021362f, 0.024475f, 0.026566f, - 0.029358f, 0.032196f, 0.035248f, 0.038391f, 0.041656f, 0.045044f, 0.048553f, 0.052582f, 0.056213f, 0.060669f, 0.065186f, 0.070068f, - 0.074768f, 0.080322f, 0.086060f, 0.092102f, 0.098877f, 0.105408f, 0.112366f, 0.120239f, 0.128540f, 0.136597f, 0.145874f, 0.155396f, - 0.165283f, 0.175537f, 0.186401f, 0.198120f, 0.210083f, 0.222534f, 0.235229f, 0.248657f, 0.262451f, 0.277344f, 0.291504f, 0.307617f, - 0.322998f, 0.339111f, 0.354980f, 0.372559f, 0.390625f, 0.408936f, 0.426758f, 0.445312f, 0.466064f, 0.485840f, 0.749512f, 0.765137f, - 0.767578f, 0.767090f, 0.765137f, 0.764648f, 0.001161f, 0.003078f, 0.005310f, 0.007282f, 0.009201f, 0.011330f, 0.013214f, 0.015404f, - 0.017273f, 0.019409f, 0.021988f, 0.024078f, 0.026550f, 0.029358f, 0.032043f, 0.034454f, 0.037415f, 0.040710f, 0.043854f, 0.047272f, - 0.050659f, 0.054840f, 0.058777f, 0.063293f, 0.067566f, 0.072449f, 0.077759f, 0.083069f, 0.088928f, 0.095886f, 0.102478f, 0.109070f, - 0.116760f, 0.124390f, 0.132935f, 0.141479f, 0.151123f, 0.161011f, 0.171143f, 0.182007f, 0.193726f, 0.205688f, 0.218018f, 0.230835f, - 0.244507f, 0.258789f, 0.272949f, 0.287109f, 0.303467f, 0.319336f, 0.335449f, 0.352539f, 0.369873f, 0.387939f, 0.406250f, 0.425049f, - 0.444824f, 0.464844f, 0.739258f, 0.756348f, 0.758789f, 0.758789f, 0.757324f, 0.756836f, 0.001004f, 0.002939f, 0.005005f, 0.006779f, - 0.008453f, 0.010323f, 0.012177f, 0.013870f, 0.016052f, 0.018051f, 0.019638f, 0.022141f, 0.023956f, 0.026413f, 0.028870f, 0.031281f, - 0.033661f, 0.036591f, 0.039429f, 0.042542f, 0.045776f, 0.049011f, 0.053009f, 0.056885f, 0.061035f, 0.065186f, 0.069885f, 0.075134f, - 0.080505f, 0.085999f, 0.091858f, 0.098633f, 0.105591f, 0.112732f, 0.120667f, 0.128662f, 0.137573f, 0.146729f, 0.156372f, 0.166748f, - 0.177490f, 0.189331f, 0.201294f, 0.213501f, 0.226807f, 0.239746f, 0.254150f, 0.268555f, 0.283936f, 0.298828f, 0.316162f, 0.332275f, - 0.349609f, 0.367432f, 0.385498f, 0.404053f, 0.423828f, 0.443848f, 0.728516f, 0.747559f, 0.750488f, 0.750488f, 0.749512f, 0.748047f, - 0.000970f, 0.002523f, 0.004665f, 0.006203f, 0.007759f, 0.009491f, 0.011070f, 0.012802f, 0.014336f, 0.016266f, 0.017944f, 0.019852f, - 0.021805f, 0.023911f, 0.025818f, 0.028137f, 0.030579f, 0.032837f, 0.035248f, 0.038055f, 0.041046f, 0.044189f, 0.047333f, 0.050842f, - 0.054504f, 0.058502f, 0.062866f, 0.067383f, 0.071960f, 0.077393f, 0.082642f, 0.088928f, 0.095093f, 0.101685f, 0.108765f, 0.116272f, - 0.124451f, 0.133423f, 0.142212f, 0.152100f, 0.162354f, 0.172729f, 0.184692f, 0.196411f, 0.209106f, 0.221802f, 0.235718f, 0.250000f, - 0.265137f, 0.280029f, 0.296143f, 0.312012f, 0.329346f, 0.346924f, 0.364990f, 0.384277f, 0.403564f, 0.423340f, 0.718262f, 0.738770f, - 0.741211f, 0.742188f, 0.741211f, 0.740234f, 0.000785f, 0.002600f, 0.004028f, 0.005390f, 0.007275f, 0.008774f, 0.010124f, 0.011620f, - 0.013306f, 0.014427f, 0.015991f, 0.017838f, 0.019577f, 0.021469f, 0.023254f, 0.024902f, 0.027115f, 0.029190f, 0.031677f, 0.034088f, - 0.036682f, 0.039307f, 0.042175f, 0.045410f, 0.048553f, 0.052002f, 0.055908f, 0.060028f, 0.064270f, 0.068909f, 0.074097f, 0.079163f, - 0.085022f, 0.091309f, 0.097473f, 0.104797f, 0.112183f, 0.120239f, 0.128662f, 0.137451f, 0.146973f, 0.157471f, 0.168213f, 0.179810f, - 0.191650f, 0.204468f, 0.217529f, 0.231201f, 0.245605f, 0.260254f, 0.275879f, 0.292236f, 0.308838f, 0.326416f, 0.344238f, 0.363037f, - 0.382080f, 0.403076f, 0.707031f, 0.729980f, 0.732422f, 0.733398f, 0.733398f, 0.732910f, 0.000775f, 0.002190f, 0.003696f, 0.005081f, - 0.006397f, 0.007858f, 0.009239f, 0.010323f, 0.011803f, 0.012978f, 0.014328f, 0.015915f, 0.017349f, 0.019058f, 0.020630f, 0.022339f, - 0.024445f, 0.025909f, 0.028275f, 0.030151f, 0.032532f, 0.035065f, 0.037476f, 0.040283f, 0.042969f, 0.046448f, 0.049469f, 0.053314f, - 0.056976f, 0.061371f, 0.065613f, 0.070435f, 0.075623f, 0.081360f, 0.087341f, 0.093628f, 0.100220f, 0.107788f, 0.115845f, 0.123901f, - 0.133057f, 0.142456f, 0.152832f, 0.163574f, 0.174561f, 0.187012f, 0.199463f, 0.212646f, 0.226562f, 0.241455f, 0.256836f, 0.272705f, - 0.288818f, 0.305664f, 0.323486f, 0.341797f, 0.362305f, 0.382080f, 0.695312f, 0.719238f, 0.722656f, 0.724121f, 0.724121f, 0.723633f, - 0.000906f, 0.002022f, 0.003521f, 0.004963f, 0.005756f, 0.006847f, 0.008446f, 0.009392f, 0.010437f, 0.012039f, 0.012863f, 0.014343f, - 0.015457f, 0.016876f, 0.018295f, 0.019730f, 0.021484f, 0.023102f, 0.024689f, 0.026581f, 0.028717f, 0.030945f, 0.032928f, 0.035370f, - 0.037872f, 0.040894f, 0.043915f, 0.047028f, 0.050415f, 0.054169f, 0.058167f, 0.062286f, 0.067078f, 0.071960f, 0.077209f, 0.082947f, - 0.089417f, 0.096008f, 0.103271f, 0.110718f, 0.119324f, 0.128052f, 0.137817f, 0.147705f, 0.158691f, 0.169922f, 0.181519f, 0.195435f, - 0.208496f, 0.222534f, 0.237305f, 0.252441f, 0.268799f, 0.285645f, 0.302979f, 0.322266f, 0.340332f, 0.360840f, 0.683594f, 0.708984f, - 0.714355f, 0.715332f, 0.715820f, 0.715332f, 0.000700f, 0.002043f, 0.003139f, 0.004219f, 0.005417f, 0.006477f, 0.007442f, 0.008415f, - 0.009499f, 0.010475f, 0.011497f, 0.012619f, 0.013824f, 0.014969f, 0.016190f, 0.017639f, 0.018799f, 0.020386f, 0.021896f, 0.023560f, - 0.025131f, 0.027176f, 0.028900f, 0.031067f, 0.033295f, 0.035919f, 0.038239f, 0.041229f, 0.044373f, 0.047394f, 0.050934f, 0.054871f, - 0.058838f, 0.063293f, 0.068115f, 0.073303f, 0.078857f, 0.084839f, 0.091309f, 0.098328f, 0.106079f, 0.114136f, 0.123230f, 0.132690f, - 0.143066f, 0.153442f, 0.165161f, 0.177368f, 0.190186f, 0.203979f, 0.218262f, 0.232910f, 0.248901f, 0.265381f, 0.282227f, 0.301025f, - 0.319580f, 0.339355f, 0.672852f, 0.699707f, 0.704590f, 0.706055f, 0.706543f, 0.706055f, 0.000762f, 0.001804f, 0.002762f, 0.003914f, - 0.004791f, 0.005764f, 0.006542f, 0.007622f, 0.008606f, 0.009232f, 0.010178f, 0.011093f, 0.012108f, 0.013191f, 0.014412f, 0.015289f, - 0.016510f, 0.017731f, 0.019119f, 0.020615f, 0.022049f, 0.023483f, 0.025345f, 0.027100f, 0.028885f, 0.031067f, 0.033417f, 0.035797f, - 0.038422f, 0.041382f, 0.044495f, 0.047638f, 0.051178f, 0.055267f, 0.059387f, 0.064026f, 0.069092f, 0.074585f, 0.080566f, 0.087097f, - 0.093811f, 0.101624f, 0.109619f, 0.117798f, 0.127319f, 0.137817f, 0.148682f, 0.160278f, 0.172607f, 0.185669f, 0.199097f, 0.214233f, - 0.229492f, 0.245850f, 0.261963f, 0.280273f, 0.299316f, 0.319580f, 0.660645f, 0.689453f, 0.694824f, 0.696777f, 0.697266f, 0.697266f, - 0.000499f, 0.001527f, 0.002565f, 0.003622f, 0.004429f, 0.005138f, 0.005955f, 0.006691f, 0.007317f, 0.008156f, 0.008949f, 0.009903f, - 0.010635f, 0.011452f, 0.012512f, 0.013451f, 0.014503f, 0.015610f, 0.016632f, 0.017746f, 0.019073f, 0.020355f, 0.021957f, 0.023453f, - 0.025208f, 0.026932f, 0.028732f, 0.030945f, 0.033142f, 0.035614f, 0.038300f, 0.041199f, 0.044464f, 0.047760f, 0.051514f, 0.055573f, - 0.059998f, 0.064819f, 0.070312f, 0.075867f, 0.082275f, 0.088806f, 0.096436f, 0.104797f, 0.113342f, 0.122559f, 0.132568f, 0.143799f, - 0.155396f, 0.167725f, 0.181274f, 0.195068f, 0.209961f, 0.225708f, 0.242310f, 0.259766f, 0.277832f, 0.297363f, 0.648926f, 0.678711f, - 0.685059f, 0.687500f, 0.687500f, 0.687988f, 0.000653f, 0.001627f, 0.002562f, 0.003166f, 0.003872f, 0.004562f, 0.005287f, 0.005905f, - 0.006557f, 0.007309f, 0.007835f, 0.008621f, 0.009140f, 0.010109f, 0.010773f, 0.011627f, 0.012428f, 0.013351f, 0.014488f, 0.015472f, - 0.016479f, 0.017578f, 0.018845f, 0.020157f, 0.021591f, 0.023132f, 0.024765f, 0.026337f, 0.028473f, 0.030594f, 0.032867f, 0.035309f, - 0.037933f, 0.041107f, 0.044403f, 0.047852f, 0.051666f, 0.055756f, 0.060455f, 0.065552f, 0.070740f, 0.077454f, 0.083862f, 0.091125f, - 0.099304f, 0.107971f, 0.117859f, 0.127808f, 0.139038f, 0.150757f, 0.163574f, 0.176880f, 0.191162f, 0.206665f, 0.222656f, 0.239258f, - 0.257568f, 0.277100f, 0.636230f, 0.667969f, 0.675293f, 0.677734f, 0.678223f, 0.678711f, 0.000393f, 0.001375f, 0.002174f, 0.002773f, - 0.003334f, 0.004070f, 0.004692f, 0.005047f, 0.005672f, 0.006298f, 0.006893f, 0.007454f, 0.007957f, 0.008636f, 0.009171f, 0.010002f, - 0.010674f, 0.011574f, 0.012451f, 0.013145f, 0.014091f, 0.014893f, 0.016083f, 0.017151f, 0.018402f, 0.019714f, 0.021042f, 0.022415f, - 0.024155f, 0.026108f, 0.027786f, 0.030212f, 0.032379f, 0.034698f, 0.037415f, 0.040436f, 0.043793f, 0.047455f, 0.051727f, 0.056030f, - 0.061218f, 0.066284f, 0.072571f, 0.079041f, 0.086121f, 0.094299f, 0.102844f, 0.112305f, 0.122925f, 0.134033f, 0.145752f, 0.158569f, - 0.172729f, 0.187378f, 0.203003f, 0.219238f, 0.237671f, 0.255859f, 0.624023f, 0.657227f, 0.664062f, 0.666992f, 0.668457f, 0.668457f, - 0.000379f, 0.001404f, 0.001893f, 0.002403f, 0.002840f, 0.003458f, 0.004021f, 0.004459f, 0.004894f, 0.005527f, 0.005844f, 0.006256f, - 0.006866f, 0.007423f, 0.007957f, 0.008476f, 0.009155f, 0.009735f, 0.010422f, 0.011078f, 0.011925f, 0.012787f, 0.013458f, 0.014526f, - 0.015541f, 0.016632f, 0.017838f, 0.019028f, 0.020248f, 0.021851f, 0.023514f, 0.024979f, 0.027054f, 0.029236f, 0.031555f, 0.034180f, - 0.036713f, 0.040375f, 0.043854f, 0.047607f, 0.051727f, 0.056549f, 0.061768f, 0.067627f, 0.073792f, 0.081116f, 0.089111f, 0.097595f, - 0.107056f, 0.117371f, 0.128906f, 0.141113f, 0.154053f, 0.168579f, 0.183960f, 0.199585f, 0.216309f, 0.235352f, 0.612793f, 0.647949f, - 0.652832f, 0.656250f, 0.658691f, 0.658203f, 0.000506f, 0.001164f, 0.001575f, 0.002136f, 0.002600f, 0.003054f, 0.003405f, 0.003735f, - 0.004364f, 0.004681f, 0.004944f, 0.005569f, 0.005810f, 0.006187f, 0.006813f, 0.007233f, 0.007881f, 0.008217f, 0.008850f, 0.009293f, - 0.010109f, 0.010788f, 0.011543f, 0.012161f, 0.012993f, 0.013931f, 0.014809f, 0.015945f, 0.016983f, 0.018234f, 0.019440f, 0.020813f, - 0.022491f, 0.024261f, 0.026169f, 0.028458f, 0.030701f, 0.033295f, 0.036560f, 0.039520f, 0.043121f, 0.047333f, 0.052032f, 0.056885f, - 0.062561f, 0.068909f, 0.076111f, 0.083496f, 0.092407f, 0.101929f, 0.112671f, 0.124451f, 0.136719f, 0.150146f, 0.165039f, 0.180786f, - 0.197510f, 0.215210f, 0.597656f, 0.636230f, 0.642578f, 0.647461f, 0.647949f, 0.649902f, 0.000344f, 0.001057f, 0.001456f, 0.001907f, - 0.002377f, 0.002735f, 0.002983f, 0.003359f, 0.003651f, 0.003960f, 0.004311f, 0.004471f, 0.005009f, 0.005283f, 0.005653f, 0.006145f, - 0.006592f, 0.006889f, 0.007469f, 0.007889f, 0.008423f, 0.008911f, 0.009567f, 0.010124f, 0.010788f, 0.011574f, 0.012466f, 0.013123f, - 0.014053f, 0.015091f, 0.016159f, 0.017288f, 0.018539f, 0.020111f, 0.021698f, 0.023285f, 0.025024f, 0.027405f, 0.029800f, 0.032501f, - 0.035583f, 0.039001f, 0.042908f, 0.047302f, 0.052185f, 0.057465f, 0.063843f, 0.070984f, 0.078857f, 0.087463f, 0.097168f, 0.108215f, - 0.120117f, 0.132812f, 0.146851f, 0.161865f, 0.177856f, 0.195557f, 0.585449f, 0.624023f, 0.633301f, 0.636230f, 0.637695f, 0.638672f, - 0.000516f, 0.000847f, 0.001210f, 0.001663f, 0.002012f, 0.002218f, 0.002424f, 0.002861f, 0.002947f, 0.003275f, 0.003469f, 0.003819f, - 0.004169f, 0.004337f, 0.004658f, 0.005169f, 0.005424f, 0.005795f, 0.006138f, 0.006500f, 0.007057f, 0.007458f, 0.007874f, 0.008369f, - 0.008888f, 0.009583f, 0.010147f, 0.010864f, 0.011589f, 0.012428f, 0.013161f, 0.013931f, 0.015076f, 0.016266f, 0.017456f, 0.018845f, - 0.020432f, 0.022232f, 0.024094f, 0.026459f, 0.028809f, 0.031586f, 0.034973f, 0.038513f, 0.042755f, 0.047485f, 0.052643f, 0.058929f, - 0.065796f, 0.073792f, 0.082581f, 0.092407f, 0.103516f, 0.115723f, 0.128906f, 0.142944f, 0.158813f, 0.175781f, 0.572266f, 0.613770f, - 0.621094f, 0.625977f, 0.626953f, 0.628418f, 0.000262f, 0.000864f, 0.001096f, 0.001409f, 0.001576f, 0.001852f, 0.002047f, 0.002247f, - 0.002518f, 0.002741f, 0.002956f, 0.003157f, 0.003359f, 0.003597f, 0.003872f, 0.004230f, 0.004406f, 0.004772f, 0.005035f, 0.005379f, - 0.005695f, 0.006153f, 0.006485f, 0.006935f, 0.007275f, 0.007801f, 0.008301f, 0.008789f, 0.009300f, 0.009949f, 0.010727f, 0.011482f, - 0.012245f, 0.013145f, 0.014236f, 0.015236f, 0.016525f, 0.017838f, 0.019348f, 0.021088f, 0.023010f, 0.025253f, 0.027878f, 0.031128f, - 0.034149f, 0.038269f, 0.042694f, 0.047852f, 0.053833f, 0.060852f, 0.068665f, 0.077698f, 0.087891f, 0.099182f, 0.111633f, 0.125732f, - 0.140381f, 0.157227f, 0.558105f, 0.601562f, 0.610840f, 0.614746f, 0.617188f, 0.619141f, 0.000270f, 0.000683f, 0.000851f, 0.001138f, - 0.001346f, 0.001561f, 0.001701f, 0.001884f, 0.001984f, 0.002193f, 0.002455f, 0.002609f, 0.002743f, 0.002993f, 0.003159f, 0.003361f, - 0.003593f, 0.003883f, 0.004044f, 0.004360f, 0.004532f, 0.004971f, 0.005169f, 0.005573f, 0.005863f, 0.006252f, 0.006653f, 0.007095f, - 0.007572f, 0.008110f, 0.008713f, 0.009056f, 0.009827f, 0.010574f, 0.011307f, 0.012070f, 0.013069f, 0.014122f, 0.015297f, 0.016678f, - 0.018234f, 0.019775f, 0.021835f, 0.024216f, 0.026917f, 0.030151f, 0.033875f, 0.038147f, 0.043121f, 0.049408f, 0.056091f, 0.064026f, - 0.073059f, 0.083801f, 0.095276f, 0.108459f, 0.122803f, 0.138794f, 0.545410f, 0.590332f, 0.599609f, 0.603516f, 0.606445f, 0.607422f, - 0.000190f, 0.000607f, 0.000724f, 0.000989f, 0.001171f, 0.001265f, 0.001416f, 0.001602f, 0.001666f, 0.001761f, 0.001893f, 0.002102f, - 0.002199f, 0.002413f, 0.002537f, 0.002743f, 0.002850f, 0.003027f, 0.003258f, 0.003494f, 0.003729f, 0.003937f, 0.004204f, 0.004410f, - 0.004616f, 0.004921f, 0.005192f, 0.005604f, 0.005936f, 0.006298f, 0.006836f, 0.007233f, 0.007694f, 0.008224f, 0.008827f, 0.009506f, - 0.010262f, 0.011055f, 0.011978f, 0.012955f, 0.014099f, 0.015434f, 0.017029f, 0.018677f, 0.020813f, 0.023193f, 0.026169f, 0.029541f, - 0.033783f, 0.038513f, 0.044403f, 0.051208f, 0.059387f, 0.068665f, 0.079468f, 0.091858f, 0.105774f, 0.120728f, 0.530762f, 0.578125f, - 0.588379f, 0.592773f, 0.595215f, 0.597168f, 0.000151f, 0.000443f, 0.000673f, 0.000793f, 0.000937f, 0.000987f, 0.001092f, 0.001192f, - 0.001324f, 0.001460f, 0.001495f, 0.001565f, 0.001778f, 0.001944f, 0.002054f, 0.002096f, 0.002254f, 0.002338f, 0.002594f, 0.002737f, - 0.002886f, 0.003048f, 0.003294f, 0.003460f, 0.003679f, 0.003868f, 0.004086f, 0.004322f, 0.004642f, 0.004894f, 0.005199f, 0.005554f, - 0.006035f, 0.006451f, 0.006836f, 0.007359f, 0.007820f, 0.008461f, 0.009163f, 0.009956f, 0.010803f, 0.011871f, 0.012917f, 0.014343f, - 0.015900f, 0.017670f, 0.019791f, 0.022400f, 0.025589f, 0.029404f, 0.034210f, 0.039948f, 0.046936f, 0.055298f, 0.064941f, 0.076172f, - 0.089172f, 0.103821f, 0.517090f, 0.565918f, 0.576172f, 0.582031f, 0.584961f, 0.586426f, 0.000203f, 0.000287f, 0.000531f, 0.000688f, - 0.000738f, 0.000820f, 0.000915f, 0.000875f, 0.001036f, 0.001117f, 0.001215f, 0.001317f, 0.001374f, 0.001476f, 0.001524f, 0.001682f, - 0.001726f, 0.001867f, 0.002014f, 0.002056f, 0.002209f, 0.002365f, 0.002495f, 0.002663f, 0.002775f, 0.002953f, 0.003134f, 0.003325f, - 0.003567f, 0.003736f, 0.004070f, 0.004261f, 0.004494f, 0.004845f, 0.005116f, 0.005459f, 0.005928f, 0.006329f, 0.006863f, 0.007458f, - 0.008087f, 0.008873f, 0.009689f, 0.010651f, 0.011826f, 0.013130f, 0.014732f, 0.016617f, 0.018890f, 0.021912f, 0.025482f, 0.029938f, - 0.035736f, 0.042847f, 0.051453f, 0.061615f, 0.074158f, 0.087952f, 0.504395f, 0.554199f, 0.565918f, 0.569336f, 0.573242f, 0.574219f, - 0.000215f, 0.000259f, 0.000423f, 0.000534f, 0.000499f, 0.000649f, 0.000622f, 0.000690f, 0.000717f, 0.000817f, 0.000937f, 0.000984f, - 0.001045f, 0.001148f, 0.001182f, 0.001211f, 0.001339f, 0.001406f, 0.001463f, 0.001590f, 0.001666f, 0.001759f, 0.001867f, 0.001949f, - 0.002064f, 0.002176f, 0.002342f, 0.002453f, 0.002619f, 0.002871f, 0.003033f, 0.003101f, 0.003389f, 0.003620f, 0.003794f, 0.004059f, - 0.004368f, 0.004681f, 0.005035f, 0.005466f, 0.005917f, 0.006405f, 0.007092f, 0.007744f, 0.008591f, 0.009506f, 0.010567f, 0.011993f, - 0.013710f, 0.015762f, 0.018326f, 0.021759f, 0.026077f, 0.031891f, 0.039124f, 0.048462f, 0.059570f, 0.072571f, 0.489258f, 0.542480f, - 0.553223f, 0.558594f, 0.562012f, 0.563965f, 0.000067f, 0.000253f, 0.000305f, 0.000367f, 0.000422f, 0.000431f, 0.000530f, 0.000466f, - 0.000565f, 0.000590f, 0.000702f, 0.000690f, 0.000746f, 0.000795f, 0.000859f, 0.000897f, 0.000962f, 0.001021f, 0.001069f, 0.001105f, - 0.001207f, 0.001257f, 0.001354f, 0.001424f, 0.001483f, 0.001570f, 0.001687f, 0.001750f, 0.001857f, 0.001982f, 0.002071f, 0.002281f, - 0.002361f, 0.002527f, 0.002684f, 0.002846f, 0.003092f, 0.003342f, 0.003622f, 0.003866f, 0.004173f, 0.004520f, 0.004955f, 0.005428f, - 0.006023f, 0.006687f, 0.007481f, 0.008446f, 0.009628f, 0.011047f, 0.012840f, 0.015205f, 0.018326f, 0.022629f, 0.028442f, 0.036102f, - 0.046051f, 0.058197f, 0.476318f, 0.529785f, 0.541992f, 0.547852f, 0.550293f, 0.553223f, 0.000000f, 0.000118f, 0.000216f, 0.000288f, - 0.000272f, 0.000350f, 0.000312f, 0.000374f, 0.000395f, 0.000470f, 0.000488f, 0.000477f, 0.000495f, 0.000548f, 0.000573f, 0.000646f, - 0.000636f, 0.000714f, 0.000763f, 0.000803f, 0.000852f, 0.000897f, 0.000930f, 0.000985f, 0.001056f, 0.001089f, 0.001163f, 0.001210f, - 0.001281f, 0.001432f, 0.001431f, 0.001548f, 0.001622f, 0.001743f, 0.001869f, 0.001991f, 0.002104f, 0.002262f, 0.002428f, 0.002632f, - 0.002815f, 0.003077f, 0.003344f, 0.003656f, 0.004002f, 0.004478f, 0.004974f, 0.005627f, 0.006435f, 0.007481f, 0.008713f, 0.010307f, - 0.012291f, 0.015289f, 0.019409f, 0.025497f, 0.033966f, 0.045013f, 0.461914f, 0.517090f, 0.529297f, 0.536133f, 0.539551f, 0.541504f, - 0.000073f, 0.000175f, 0.000165f, 0.000149f, 0.000200f, 0.000208f, 0.000215f, 0.000260f, 0.000268f, 0.000277f, 0.000292f, 0.000341f, - 0.000334f, 0.000370f, 0.000413f, 0.000424f, 0.000449f, 0.000474f, 0.000488f, 0.000507f, 0.000555f, 0.000574f, 0.000616f, 0.000652f, - 0.000696f, 0.000746f, 0.000780f, 0.000804f, 0.000849f, 0.000888f, 0.000949f, 0.001011f, 0.001075f, 0.001151f, 0.001225f, 0.001266f, - 0.001385f, 0.001466f, 0.001596f, 0.001699f, 0.001808f, 0.001980f, 0.002157f, 0.002329f, 0.002544f, 0.002850f, 0.003178f, 0.003593f, - 0.004047f, 0.004658f, 0.005508f, 0.006565f, 0.007935f, 0.009819f, 0.012527f, 0.016647f, 0.023514f, 0.033173f, 0.447510f, 0.503906f, - 0.517578f, 0.523926f, 0.527344f, 0.529297f, 0.000000f, 0.000106f, 0.000097f, 0.000099f, 0.000136f, 0.000157f, 0.000129f, 0.000162f, - 0.000167f, 0.000172f, 0.000180f, 0.000186f, 0.000209f, 0.000227f, 0.000232f, 0.000248f, 0.000260f, 0.000291f, 0.000300f, 0.000327f, - 0.000335f, 0.000343f, 0.000363f, 0.000395f, 0.000428f, 0.000459f, 0.000458f, 0.000477f, 0.000515f, 0.000549f, 0.000578f, 0.000621f, - 0.000659f, 0.000683f, 0.000741f, 0.000767f, 0.000818f, 0.000877f, 0.000952f, 0.001010f, 0.001085f, 0.001177f, 0.001275f, 0.001406f, - 0.001516f, 0.001664f, 0.001884f, 0.002096f, 0.002415f, 0.002745f, 0.003231f, 0.003843f, 0.004715f, 0.005936f, 0.007629f, 0.010139f, - 0.014763f, 0.022812f, 0.433350f, 0.491455f, 0.506348f, 0.511719f, 0.515625f, 0.518066f, 0.000104f, 0.000080f, 0.000069f, 0.000062f, - 0.000074f, 0.000074f, 0.000089f, 0.000097f, 0.000099f, 0.000102f, 0.000105f, 0.000126f, 0.000106f, 0.000119f, 0.000139f, 0.000135f, - 0.000154f, 0.000164f, 0.000166f, 0.000175f, 0.000188f, 0.000194f, 0.000211f, 0.000220f, 0.000252f, 0.000248f, 0.000260f, 0.000272f, - 0.000293f, 0.000301f, 0.000328f, 0.000347f, 0.000365f, 0.000371f, 0.000401f, 0.000422f, 0.000447f, 0.000489f, 0.000524f, 0.000553f, - 0.000588f, 0.000635f, 0.000701f, 0.000751f, 0.000816f, 0.000897f, 0.000997f, 0.001109f, 0.001265f, 0.001460f, 0.001686f, 0.002035f, - 0.002457f, 0.003130f, 0.004124f, 0.005676f, 0.008263f, 0.014114f, 0.418945f, 0.479492f, 0.493652f, 0.500000f, 0.503418f, 0.506836f, - 0.000089f, 0.000065f, 0.000056f, 0.000050f, 0.000045f, 0.000042f, 0.000046f, 0.000042f, 0.000043f, 0.000055f, 0.000046f, 0.000049f, - 0.000065f, 0.000055f, 0.000057f, 0.000063f, 0.000075f, 0.000080f, 0.000078f, 0.000084f, 0.000085f, 0.000092f, 0.000097f, 0.000102f, - 0.000108f, 0.000117f, 0.000118f, 0.000138f, 0.000135f, 0.000142f, 0.000151f, 0.000160f, 0.000172f, 0.000180f, 0.000195f, 0.000197f, - 0.000210f, 0.000230f, 0.000244f, 0.000266f, 0.000279f, 0.000299f, 0.000324f, 0.000352f, 0.000383f, 0.000414f, 0.000457f, 0.000509f, - 0.000575f, 0.000650f, 0.000756f, 0.000904f, 0.001103f, 0.001410f, 0.001880f, 0.002668f, 0.004112f, 0.007290f, 0.404541f, 0.466309f, - 0.481201f, 0.488037f, 0.492432f, 0.495361f, 0.000066f, 0.000046f, 0.000038f, 0.000034f, 0.000031f, 0.000029f, 0.000027f, 0.000026f, - 0.000025f, 0.000023f, 0.000022f, 0.000024f, 0.000020f, 0.000021f, 0.000021f, 0.000026f, 0.000024f, 0.000028f, 0.000031f, 0.000032f, - 0.000032f, 0.000035f, 0.000040f, 0.000038f, 0.000041f, 0.000047f, 0.000049f, 0.000043f, 0.000050f, 0.000052f, 0.000056f, 0.000059f, - 0.000066f, 0.000062f, 0.000067f, 0.000071f, 0.000082f, 0.000083f, 0.000089f, 0.000098f, 0.000104f, 0.000107f, 0.000116f, 0.000125f, - 0.000141f, 0.000149f, 0.000160f, 0.000183f, 0.000207f, 0.000228f, 0.000264f, 0.000311f, 0.000376f, 0.000469f, 0.000646f, 0.000937f, - 0.001554f, 0.002983f, 0.390381f, 0.454346f, 0.469727f, 0.476318f, 0.480713f, 0.484131f, 0.000028f, 0.000019f, 0.000015f, 0.000014f, - 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, - 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000009f, 0.000009f, 0.000010f, - 0.000010f, 0.000011f, 0.000012f, 0.000011f, 0.000014f, 0.000015f, 0.000016f, 0.000016f, 0.000018f, 0.000019f, 0.000019f, 0.000022f, - 0.000023f, 0.000024f, 0.000026f, 0.000028f, 0.000029f, 0.000032f, 0.000037f, 0.000037f, 0.000042f, 0.000048f, 0.000056f, 0.000066f, - 0.000077f, 0.000091f, 0.000124f, 0.000183f, 0.000318f, 0.000779f, 0.376465f, 0.441406f, 0.457275f, 0.464600f, 0.468994f, 0.471924f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, - 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000010f, 0.000027f, 0.363037f, 0.428223f, - 0.444580f, 0.452881f, 0.457031f, 0.459961f, - }, - { - 0.014420f, 0.043488f, 0.072388f, 0.100830f, 0.129150f, 0.156494f, 0.183350f, 0.210327f, 0.235352f, 0.260986f, 0.285645f, 0.309082f, - 0.332764f, 0.355713f, 0.377441f, 0.399658f, 0.420898f, 0.441650f, 0.461914f, 0.481445f, 0.500977f, 0.520508f, 0.538574f, 0.556641f, - 0.574707f, 0.591797f, 0.608398f, 0.624512f, 0.641602f, 0.657227f, 0.672363f, 0.687500f, 0.702148f, 0.717285f, 0.730957f, 0.745117f, - 0.758789f, 0.772461f, 0.783203f, 0.797363f, 0.810547f, 0.822266f, 0.833984f, 0.845703f, 0.857422f, 0.868652f, 0.879395f, 0.890625f, - 0.901367f, 0.911621f, 0.921875f, 0.932129f, 0.941895f, 0.951660f, 0.960938f, 0.970215f, 0.979492f, 0.987793f, 0.981934f, 0.957031f, - 0.938965f, 0.923340f, 0.909668f, 0.897461f, 0.013199f, 0.039978f, 0.066284f, 0.093445f, 0.119324f, 0.145386f, 0.170410f, 0.195801f, - 0.220581f, 0.244019f, 0.268066f, 0.291260f, 0.314453f, 0.335938f, 0.358154f, 0.379639f, 0.399902f, 0.420898f, 0.441406f, 0.460938f, - 0.480225f, 0.498291f, 0.516602f, 0.535156f, 0.553223f, 0.570312f, 0.587891f, 0.603516f, 0.620117f, 0.636719f, 0.652832f, 0.667480f, - 0.682617f, 0.696777f, 0.711914f, 0.726074f, 0.739746f, 0.753418f, 0.766602f, 0.779785f, 0.791992f, 0.804688f, 0.817871f, 0.829102f, - 0.841309f, 0.852539f, 0.864258f, 0.875488f, 0.886230f, 0.896973f, 0.907227f, 0.917969f, 0.928223f, 0.937500f, 0.947266f, 0.957520f, - 0.966797f, 0.975586f, 0.976562f, 0.952637f, 0.935547f, 0.920898f, 0.907715f, 0.895996f, 0.011932f, 0.036499f, 0.061554f, 0.085999f, - 0.110962f, 0.135010f, 0.158813f, 0.182373f, 0.206421f, 0.229004f, 0.251221f, 0.274170f, 0.295654f, 0.317871f, 0.339111f, 0.360107f, - 0.379395f, 0.399414f, 0.420654f, 0.440430f, 0.458252f, 0.477295f, 0.496094f, 0.513672f, 0.531738f, 0.549805f, 0.566406f, 0.583984f, - 0.599121f, 0.616211f, 0.631348f, 0.647461f, 0.662598f, 0.677734f, 0.692383f, 0.705566f, 0.720703f, 0.734863f, 0.748047f, 0.761230f, - 0.774414f, 0.787598f, 0.799805f, 0.812500f, 0.824707f, 0.837402f, 0.848633f, 0.859375f, 0.871094f, 0.882324f, 0.892578f, 0.904297f, - 0.913574f, 0.924316f, 0.934570f, 0.943848f, 0.954102f, 0.963867f, 0.970703f, 0.948242f, 0.931641f, 0.917480f, 0.905273f, 0.894043f, - 0.011070f, 0.033478f, 0.056396f, 0.079529f, 0.101990f, 0.125244f, 0.147705f, 0.170410f, 0.192139f, 0.214111f, 0.235596f, 0.257812f, - 0.279053f, 0.300293f, 0.320557f, 0.340576f, 0.360596f, 0.381104f, 0.400635f, 0.420166f, 0.438965f, 0.458008f, 0.476562f, 0.493652f, - 0.511230f, 0.527832f, 0.545898f, 0.562012f, 0.579102f, 0.595703f, 0.610840f, 0.627930f, 0.642578f, 0.657227f, 0.672363f, 0.686523f, - 0.701660f, 0.715332f, 0.729492f, 0.742676f, 0.756348f, 0.769531f, 0.782227f, 0.795898f, 0.807617f, 0.820312f, 0.832031f, 0.843262f, - 0.855469f, 0.866699f, 0.877441f, 0.889648f, 0.899414f, 0.910156f, 0.920410f, 0.930664f, 0.940430f, 0.950684f, 0.964844f, 0.943848f, - 0.927734f, 0.914551f, 0.902344f, 0.891602f, 0.010010f, 0.031067f, 0.051880f, 0.073303f, 0.094421f, 0.116577f, 0.136963f, 0.157959f, - 0.180542f, 0.200684f, 0.221436f, 0.242676f, 0.262939f, 0.283447f, 0.303467f, 0.323242f, 0.342529f, 0.362305f, 0.381348f, 0.399414f, - 0.418701f, 0.437256f, 0.455322f, 0.472412f, 0.490479f, 0.507812f, 0.524902f, 0.541992f, 0.558105f, 0.574219f, 0.591309f, 0.606445f, - 0.622070f, 0.637695f, 0.652344f, 0.666504f, 0.683594f, 0.695801f, 0.710449f, 0.724121f, 0.737305f, 0.751465f, 0.765137f, 0.777344f, - 0.790039f, 0.802734f, 0.814941f, 0.827637f, 0.839355f, 0.851074f, 0.862305f, 0.874512f, 0.885254f, 0.895996f, 0.906738f, 0.917480f, - 0.927246f, 0.937988f, 0.958984f, 0.939453f, 0.923828f, 0.911133f, 0.899414f, 0.889160f, 0.009491f, 0.028305f, 0.047699f, 0.067810f, - 0.087341f, 0.107849f, 0.127686f, 0.147827f, 0.167725f, 0.187744f, 0.207886f, 0.227051f, 0.247314f, 0.266846f, 0.286377f, 0.305908f, - 0.324463f, 0.343262f, 0.361572f, 0.380371f, 0.399658f, 0.416748f, 0.435547f, 0.452881f, 0.470703f, 0.488281f, 0.503906f, 0.522461f, - 0.538086f, 0.554199f, 0.571289f, 0.586914f, 0.602051f, 0.617676f, 0.633789f, 0.647949f, 0.663086f, 0.677246f, 0.692871f, 0.705078f, - 0.718750f, 0.732910f, 0.746582f, 0.759766f, 0.773438f, 0.785645f, 0.798340f, 0.811035f, 0.823242f, 0.834961f, 0.847168f, 0.859863f, - 0.870117f, 0.881348f, 0.893066f, 0.903320f, 0.914551f, 0.924316f, 0.953125f, 0.934082f, 0.919434f, 0.906738f, 0.896484f, 0.885742f, - 0.008598f, 0.026245f, 0.044495f, 0.062622f, 0.081177f, 0.100098f, 0.119019f, 0.137817f, 0.156616f, 0.175903f, 0.194946f, 0.213745f, - 0.232788f, 0.251221f, 0.269775f, 0.288330f, 0.307129f, 0.325928f, 0.344238f, 0.362305f, 0.380371f, 0.397705f, 0.415771f, 0.433105f, - 0.450928f, 0.468262f, 0.484863f, 0.501953f, 0.518555f, 0.534668f, 0.550293f, 0.566406f, 0.582520f, 0.598145f, 0.612305f, 0.627930f, - 0.643555f, 0.657715f, 0.672852f, 0.687500f, 0.700684f, 0.715332f, 0.728516f, 0.742188f, 0.755371f, 0.769531f, 0.781738f, 0.794434f, - 0.807129f, 0.818359f, 0.831543f, 0.843262f, 0.855469f, 0.865723f, 0.877930f, 0.889160f, 0.900391f, 0.911621f, 0.946777f, 0.929199f, - 0.915039f, 0.903320f, 0.892578f, 0.883301f, 0.007896f, 0.024490f, 0.041138f, 0.057892f, 0.075439f, 0.092712f, 0.110229f, 0.128296f, - 0.146118f, 0.164429f, 0.181885f, 0.200562f, 0.218628f, 0.236572f, 0.255127f, 0.272949f, 0.291016f, 0.308594f, 0.326172f, 0.343994f, - 0.361816f, 0.380127f, 0.396973f, 0.414551f, 0.430908f, 0.447998f, 0.465576f, 0.481445f, 0.497559f, 0.514160f, 0.529785f, 0.546387f, - 0.562988f, 0.578613f, 0.593262f, 0.609375f, 0.623047f, 0.638672f, 0.653809f, 0.667480f, 0.681641f, 0.697266f, 0.710938f, 0.724121f, - 0.737305f, 0.752441f, 0.765625f, 0.776367f, 0.790527f, 0.803223f, 0.815918f, 0.827637f, 0.839844f, 0.851562f, 0.863281f, 0.875000f, - 0.886719f, 0.898926f, 0.940430f, 0.923828f, 0.910645f, 0.899414f, 0.889160f, 0.879883f, 0.007320f, 0.022369f, 0.038055f, 0.053925f, - 0.070190f, 0.086609f, 0.103027f, 0.119568f, 0.136475f, 0.153320f, 0.170532f, 0.187988f, 0.204834f, 0.223022f, 0.240112f, 0.257324f, - 0.275391f, 0.291504f, 0.308838f, 0.326904f, 0.344727f, 0.361572f, 0.378662f, 0.395020f, 0.411865f, 0.428711f, 0.445068f, 0.462646f, - 0.478271f, 0.494141f, 0.510254f, 0.525879f, 0.542480f, 0.557129f, 0.573242f, 0.588867f, 0.603516f, 0.618164f, 0.633789f, 0.648438f, - 0.663086f, 0.678223f, 0.691895f, 0.706543f, 0.720215f, 0.733398f, 0.746582f, 0.759766f, 0.774414f, 0.786621f, 0.799805f, 0.811523f, - 0.823730f, 0.836914f, 0.848145f, 0.860840f, 0.872070f, 0.884277f, 0.933594f, 0.918945f, 0.906250f, 0.895020f, 0.885254f, 0.876953f, - 0.006760f, 0.021011f, 0.034973f, 0.050049f, 0.065369f, 0.080261f, 0.095337f, 0.111633f, 0.127319f, 0.142822f, 0.159668f, 0.176514f, - 0.192383f, 0.209106f, 0.225586f, 0.242554f, 0.259277f, 0.275635f, 0.292480f, 0.309326f, 0.326904f, 0.343750f, 0.359619f, 0.376465f, - 0.393066f, 0.409424f, 0.426514f, 0.442871f, 0.458252f, 0.475586f, 0.490967f, 0.505859f, 0.522461f, 0.539062f, 0.554199f, 0.569336f, - 0.583984f, 0.600586f, 0.614258f, 0.630371f, 0.643555f, 0.658691f, 0.673340f, 0.687500f, 0.702148f, 0.715332f, 0.729980f, 0.743652f, - 0.756348f, 0.770020f, 0.782715f, 0.796387f, 0.808105f, 0.820801f, 0.833008f, 0.846680f, 0.857910f, 0.870117f, 0.927246f, 0.913574f, - 0.901367f, 0.891113f, 0.881348f, 0.873047f, 0.006367f, 0.019165f, 0.032379f, 0.046295f, 0.060089f, 0.074463f, 0.088867f, 0.103821f, - 0.118835f, 0.133911f, 0.149048f, 0.164673f, 0.180298f, 0.196289f, 0.212524f, 0.228516f, 0.244385f, 0.260742f, 0.277344f, 0.293213f, - 0.309570f, 0.326416f, 0.342773f, 0.358887f, 0.374512f, 0.391113f, 0.406982f, 0.423340f, 0.439453f, 0.455078f, 0.470947f, 0.487793f, - 0.502441f, 0.519043f, 0.533691f, 0.550293f, 0.564941f, 0.580078f, 0.595703f, 0.610840f, 0.625488f, 0.640137f, 0.654785f, 0.669434f, - 0.683594f, 0.696777f, 0.710938f, 0.725586f, 0.738770f, 0.752441f, 0.766113f, 0.778320f, 0.791016f, 0.805176f, 0.818359f, 0.830566f, - 0.842773f, 0.854980f, 0.920410f, 0.908203f, 0.896484f, 0.886230f, 0.877441f, 0.868652f, 0.005981f, 0.017914f, 0.030350f, 0.042908f, - 0.056213f, 0.069092f, 0.083008f, 0.096619f, 0.111084f, 0.124634f, 0.139526f, 0.154297f, 0.169312f, 0.184570f, 0.199951f, 0.215454f, - 0.230713f, 0.245728f, 0.261963f, 0.277588f, 0.293213f, 0.309326f, 0.325195f, 0.340820f, 0.356934f, 0.373047f, 0.388916f, 0.404785f, - 0.420410f, 0.436279f, 0.452148f, 0.468506f, 0.483154f, 0.499756f, 0.515137f, 0.530762f, 0.545898f, 0.560059f, 0.576172f, 0.590820f, - 0.606445f, 0.621094f, 0.635254f, 0.649902f, 0.663574f, 0.678223f, 0.692383f, 0.706543f, 0.720703f, 0.733887f, 0.748535f, 0.762695f, - 0.775391f, 0.789551f, 0.801758f, 0.814941f, 0.828125f, 0.840332f, 0.913574f, 0.902344f, 0.890625f, 0.881836f, 0.872559f, 0.865234f, - 0.005402f, 0.016617f, 0.028061f, 0.039948f, 0.051758f, 0.064270f, 0.076782f, 0.089600f, 0.102600f, 0.116455f, 0.130371f, 0.144165f, - 0.158936f, 0.172607f, 0.187744f, 0.201904f, 0.216431f, 0.232422f, 0.247192f, 0.261719f, 0.277100f, 0.292480f, 0.308838f, 0.323975f, - 0.339355f, 0.355469f, 0.371338f, 0.386230f, 0.402344f, 0.417725f, 0.433350f, 0.448486f, 0.464600f, 0.480225f, 0.495361f, 0.510742f, - 0.525879f, 0.541992f, 0.557129f, 0.571777f, 0.586914f, 0.601562f, 0.616211f, 0.631836f, 0.645508f, 0.661621f, 0.674805f, 0.688965f, - 0.703125f, 0.717773f, 0.731934f, 0.745605f, 0.757812f, 0.772949f, 0.785156f, 0.799316f, 0.812012f, 0.826172f, 0.906738f, 0.896484f, - 0.886230f, 0.876465f, 0.868164f, 0.860840f, 0.005264f, 0.015457f, 0.026474f, 0.037170f, 0.048157f, 0.059845f, 0.071594f, 0.083984f, - 0.096191f, 0.109070f, 0.121887f, 0.134766f, 0.148193f, 0.161255f, 0.175781f, 0.189209f, 0.203369f, 0.218384f, 0.233032f, 0.247681f, - 0.261963f, 0.277100f, 0.292480f, 0.307129f, 0.322998f, 0.337891f, 0.352539f, 0.368652f, 0.384033f, 0.399170f, 0.414307f, 0.430420f, - 0.445801f, 0.460693f, 0.475342f, 0.491211f, 0.506836f, 0.521973f, 0.537598f, 0.551758f, 0.567383f, 0.582520f, 0.598145f, 0.612305f, - 0.627441f, 0.642090f, 0.656738f, 0.670898f, 0.685059f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, 0.755371f, 0.770020f, 0.782715f, - 0.796387f, 0.810547f, 0.899414f, 0.889648f, 0.879883f, 0.872070f, 0.863770f, 0.856445f, 0.004719f, 0.014229f, 0.024384f, 0.034607f, - 0.044708f, 0.055756f, 0.066895f, 0.077942f, 0.089600f, 0.101624f, 0.113525f, 0.125854f, 0.138428f, 0.151245f, 0.164673f, 0.177734f, - 0.191650f, 0.205078f, 0.219360f, 0.233154f, 0.247925f, 0.261475f, 0.276367f, 0.291504f, 0.305908f, 0.320312f, 0.335449f, 0.350098f, - 0.365723f, 0.380615f, 0.395996f, 0.411133f, 0.427002f, 0.441895f, 0.456543f, 0.472656f, 0.487793f, 0.502441f, 0.518555f, 0.533203f, - 0.547852f, 0.562988f, 0.577637f, 0.593262f, 0.607910f, 0.623535f, 0.638184f, 0.652344f, 0.666992f, 0.681641f, 0.696777f, 0.711426f, - 0.725098f, 0.738281f, 0.753418f, 0.766113f, 0.782227f, 0.794922f, 0.892090f, 0.884277f, 0.875000f, 0.866699f, 0.858887f, 0.852539f, - 0.004280f, 0.013329f, 0.022476f, 0.031982f, 0.042114f, 0.051849f, 0.062225f, 0.072449f, 0.083679f, 0.095032f, 0.105530f, 0.117676f, - 0.129517f, 0.141357f, 0.154297f, 0.166748f, 0.178711f, 0.192505f, 0.205933f, 0.219727f, 0.233521f, 0.247070f, 0.260986f, 0.275391f, - 0.290039f, 0.303955f, 0.319580f, 0.333740f, 0.347412f, 0.363037f, 0.377686f, 0.392822f, 0.408203f, 0.422852f, 0.437988f, 0.453125f, - 0.468506f, 0.483398f, 0.498779f, 0.514160f, 0.527832f, 0.543945f, 0.559570f, 0.574707f, 0.588867f, 0.604492f, 0.619141f, 0.634277f, - 0.648438f, 0.663086f, 0.678223f, 0.692383f, 0.707520f, 0.721680f, 0.735352f, 0.749512f, 0.764648f, 0.778320f, 0.884277f, 0.877441f, - 0.868652f, 0.861328f, 0.854492f, 0.847656f, 0.004280f, 0.012138f, 0.021103f, 0.029999f, 0.038940f, 0.048279f, 0.057831f, 0.067566f, - 0.077454f, 0.087524f, 0.098816f, 0.109558f, 0.120728f, 0.131958f, 0.143799f, 0.155762f, 0.168091f, 0.180176f, 0.193359f, 0.206177f, - 0.219360f, 0.232910f, 0.246338f, 0.260254f, 0.273682f, 0.287598f, 0.302246f, 0.316650f, 0.331299f, 0.344971f, 0.359863f, 0.374268f, - 0.389648f, 0.404297f, 0.419434f, 0.434326f, 0.449463f, 0.464844f, 0.479492f, 0.494141f, 0.509766f, 0.524414f, 0.540039f, 0.555176f, - 0.569824f, 0.584961f, 0.600098f, 0.615723f, 0.629883f, 0.645508f, 0.659668f, 0.675293f, 0.689453f, 0.704590f, 0.719238f, 0.732422f, - 0.748535f, 0.762207f, 0.876953f, 0.871582f, 0.863281f, 0.855957f, 0.849609f, 0.842773f, 0.003744f, 0.011436f, 0.019348f, 0.027893f, - 0.036102f, 0.044739f, 0.053711f, 0.063110f, 0.072205f, 0.081970f, 0.091919f, 0.101746f, 0.112732f, 0.122864f, 0.134521f, 0.145996f, - 0.157715f, 0.169434f, 0.181519f, 0.193848f, 0.206665f, 0.219360f, 0.231445f, 0.245361f, 0.259033f, 0.272217f, 0.286621f, 0.299805f, - 0.314209f, 0.328125f, 0.342285f, 0.357178f, 0.371826f, 0.386475f, 0.400635f, 0.415527f, 0.430420f, 0.445068f, 0.459717f, 0.476074f, - 0.490234f, 0.505371f, 0.521484f, 0.536133f, 0.551758f, 0.565430f, 0.581543f, 0.595703f, 0.611816f, 0.626465f, 0.641602f, 0.656738f, - 0.671875f, 0.686523f, 0.701172f, 0.715820f, 0.731445f, 0.746582f, 0.868652f, 0.864746f, 0.856934f, 0.851074f, 0.844727f, 0.837891f, - 0.003595f, 0.011093f, 0.018265f, 0.025711f, 0.033600f, 0.041656f, 0.050140f, 0.058350f, 0.067505f, 0.076416f, 0.085632f, 0.095093f, - 0.104919f, 0.115295f, 0.125610f, 0.136108f, 0.147583f, 0.157959f, 0.169800f, 0.181519f, 0.193359f, 0.205933f, 0.218140f, 0.231323f, - 0.243652f, 0.257324f, 0.270508f, 0.283447f, 0.297363f, 0.311523f, 0.325928f, 0.339111f, 0.353516f, 0.367432f, 0.382812f, 0.396973f, - 0.412109f, 0.426758f, 0.441406f, 0.456055f, 0.471436f, 0.486328f, 0.501953f, 0.516113f, 0.531738f, 0.546875f, 0.562500f, 0.577637f, - 0.592773f, 0.607910f, 0.622559f, 0.638184f, 0.653809f, 0.669434f, 0.684082f, 0.699219f, 0.714355f, 0.729492f, 0.860840f, 0.857422f, - 0.852051f, 0.844727f, 0.839355f, 0.832520f, 0.003349f, 0.009933f, 0.016754f, 0.024063f, 0.031204f, 0.038849f, 0.046356f, 0.054413f, - 0.062744f, 0.070984f, 0.080017f, 0.088989f, 0.097778f, 0.107361f, 0.117004f, 0.127197f, 0.137451f, 0.148071f, 0.159180f, 0.169922f, - 0.181519f, 0.192993f, 0.204956f, 0.217407f, 0.229980f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.307861f, 0.321533f, - 0.335693f, 0.350098f, 0.364258f, 0.379150f, 0.393066f, 0.407715f, 0.422607f, 0.437500f, 0.452148f, 0.467041f, 0.482422f, 0.497314f, - 0.512695f, 0.527832f, 0.542969f, 0.558594f, 0.573730f, 0.589844f, 0.604004f, 0.619629f, 0.635254f, 0.651367f, 0.665527f, 0.681152f, - 0.696289f, 0.711914f, 0.852539f, 0.851562f, 0.846191f, 0.838867f, 0.832520f, 0.827637f, 0.003290f, 0.009415f, 0.015976f, 0.022095f, - 0.028946f, 0.036255f, 0.043396f, 0.050598f, 0.058502f, 0.066284f, 0.074036f, 0.082275f, 0.091187f, 0.099731f, 0.108826f, 0.118652f, - 0.128296f, 0.137939f, 0.148193f, 0.159302f, 0.170166f, 0.180786f, 0.191895f, 0.203491f, 0.215210f, 0.227661f, 0.240112f, 0.252686f, - 0.265625f, 0.278564f, 0.291748f, 0.305176f, 0.318604f, 0.332764f, 0.346924f, 0.360352f, 0.375000f, 0.389160f, 0.404297f, 0.418213f, - 0.433105f, 0.448486f, 0.463135f, 0.477783f, 0.493408f, 0.508301f, 0.523438f, 0.540039f, 0.554199f, 0.570312f, 0.585938f, 0.601074f, - 0.617188f, 0.633301f, 0.648926f, 0.664062f, 0.679688f, 0.695312f, 0.844727f, 0.844238f, 0.838867f, 0.833008f, 0.827148f, 0.822266f, - 0.002913f, 0.008621f, 0.014595f, 0.020950f, 0.027496f, 0.033600f, 0.040558f, 0.047119f, 0.054260f, 0.061615f, 0.068970f, 0.076782f, - 0.084717f, 0.093140f, 0.101562f, 0.109985f, 0.118591f, 0.129150f, 0.138306f, 0.148682f, 0.158447f, 0.169189f, 0.180054f, 0.191162f, - 0.202148f, 0.213379f, 0.225586f, 0.237305f, 0.250488f, 0.262939f, 0.275391f, 0.288086f, 0.302490f, 0.315186f, 0.329346f, 0.342529f, - 0.356934f, 0.370117f, 0.385742f, 0.400146f, 0.414795f, 0.429199f, 0.444336f, 0.459473f, 0.473389f, 0.489258f, 0.503906f, 0.519531f, - 0.535645f, 0.551270f, 0.566895f, 0.582520f, 0.598145f, 0.614258f, 0.629395f, 0.645996f, 0.661621f, 0.677734f, 0.837402f, 0.836914f, - 0.832520f, 0.826660f, 0.821777f, 0.816406f, 0.002748f, 0.008018f, 0.014168f, 0.019196f, 0.025040f, 0.031250f, 0.037506f, 0.043732f, - 0.050415f, 0.057098f, 0.063721f, 0.071167f, 0.078979f, 0.086609f, 0.094299f, 0.102783f, 0.111145f, 0.119812f, 0.128296f, 0.138306f, - 0.147583f, 0.157593f, 0.168213f, 0.178711f, 0.188843f, 0.200317f, 0.211792f, 0.223511f, 0.235352f, 0.247192f, 0.259521f, 0.272461f, - 0.285156f, 0.298584f, 0.312012f, 0.324707f, 0.339111f, 0.352783f, 0.366943f, 0.381348f, 0.395996f, 0.410889f, 0.425537f, 0.439941f, - 0.454834f, 0.470459f, 0.485352f, 0.501953f, 0.516113f, 0.531738f, 0.547363f, 0.563477f, 0.579102f, 0.595703f, 0.611328f, 0.626953f, - 0.642578f, 0.659668f, 0.828125f, 0.830566f, 0.825684f, 0.820801f, 0.815430f, 0.811035f, 0.002630f, 0.007412f, 0.012978f, 0.018356f, - 0.023758f, 0.028931f, 0.034729f, 0.040894f, 0.046631f, 0.053101f, 0.059143f, 0.065979f, 0.073669f, 0.080200f, 0.087585f, 0.095276f, - 0.102844f, 0.111633f, 0.119812f, 0.128296f, 0.137573f, 0.146729f, 0.156128f, 0.166382f, 0.176880f, 0.187256f, 0.197998f, 0.209351f, - 0.220581f, 0.232422f, 0.244385f, 0.256592f, 0.268799f, 0.281982f, 0.294922f, 0.308105f, 0.321045f, 0.334717f, 0.348633f, 0.363525f, - 0.378174f, 0.391846f, 0.406006f, 0.420898f, 0.436279f, 0.451660f, 0.466064f, 0.481934f, 0.496826f, 0.513184f, 0.528320f, 0.543945f, - 0.560059f, 0.576660f, 0.592285f, 0.608887f, 0.625000f, 0.640625f, 0.819336f, 0.822266f, 0.818848f, 0.813965f, 0.810059f, 0.805664f, - 0.002201f, 0.007240f, 0.011803f, 0.016617f, 0.021622f, 0.027344f, 0.032288f, 0.037598f, 0.043427f, 0.049194f, 0.055267f, 0.061462f, - 0.067566f, 0.073853f, 0.080872f, 0.088013f, 0.095703f, 0.103821f, 0.111145f, 0.119446f, 0.127563f, 0.136597f, 0.145752f, 0.155273f, - 0.165039f, 0.174683f, 0.185181f, 0.195801f, 0.206543f, 0.218140f, 0.229370f, 0.241455f, 0.253174f, 0.265381f, 0.278564f, 0.291504f, - 0.304199f, 0.317383f, 0.331299f, 0.344971f, 0.358643f, 0.373291f, 0.386963f, 0.402100f, 0.416016f, 0.431641f, 0.447266f, 0.462646f, - 0.477295f, 0.493652f, 0.509277f, 0.524902f, 0.541504f, 0.557617f, 0.574219f, 0.589844f, 0.605957f, 0.623047f, 0.810059f, 0.814453f, - 0.811035f, 0.807129f, 0.803223f, 0.798828f, 0.002293f, 0.006927f, 0.010994f, 0.015617f, 0.020584f, 0.025131f, 0.029663f, 0.034760f, - 0.040192f, 0.045532f, 0.050964f, 0.056793f, 0.062805f, 0.068726f, 0.074890f, 0.081482f, 0.088806f, 0.096069f, 0.103333f, 0.110535f, - 0.118896f, 0.126709f, 0.135254f, 0.144165f, 0.153442f, 0.162720f, 0.172119f, 0.182495f, 0.192749f, 0.203735f, 0.214600f, 0.225952f, - 0.237793f, 0.250000f, 0.261719f, 0.274170f, 0.287354f, 0.300293f, 0.313477f, 0.326904f, 0.340820f, 0.354980f, 0.369385f, 0.383545f, - 0.396973f, 0.411865f, 0.427734f, 0.442871f, 0.458740f, 0.473633f, 0.489502f, 0.505859f, 0.522461f, 0.537598f, 0.553711f, 0.572754f, - 0.588379f, 0.604492f, 0.802246f, 0.807617f, 0.804199f, 0.800781f, 0.797363f, 0.792969f, 0.002081f, 0.006172f, 0.010460f, 0.014503f, - 0.019104f, 0.023163f, 0.027832f, 0.032410f, 0.037354f, 0.041992f, 0.047211f, 0.052490f, 0.057831f, 0.063232f, 0.069458f, 0.075317f, - 0.082153f, 0.088257f, 0.094910f, 0.102295f, 0.110107f, 0.117554f, 0.125122f, 0.133667f, 0.142456f, 0.151001f, 0.160767f, 0.169922f, - 0.179443f, 0.190430f, 0.200562f, 0.211914f, 0.222412f, 0.234009f, 0.245850f, 0.258545f, 0.270752f, 0.283203f, 0.296387f, 0.309082f, - 0.322998f, 0.336670f, 0.350098f, 0.364990f, 0.378906f, 0.393311f, 0.408936f, 0.423096f, 0.438965f, 0.454834f, 0.470703f, 0.486572f, - 0.502441f, 0.518555f, 0.534668f, 0.551270f, 0.569336f, 0.585938f, 0.792480f, 0.799316f, 0.797363f, 0.793457f, 0.790039f, 0.786621f, - 0.002028f, 0.005669f, 0.009705f, 0.013565f, 0.017532f, 0.021286f, 0.025574f, 0.030197f, 0.034180f, 0.038757f, 0.043488f, 0.048737f, - 0.053497f, 0.058594f, 0.064026f, 0.070007f, 0.075623f, 0.081360f, 0.088135f, 0.094238f, 0.101379f, 0.108643f, 0.116028f, 0.123718f, - 0.131592f, 0.140137f, 0.149048f, 0.157715f, 0.167114f, 0.176636f, 0.187012f, 0.197388f, 0.208130f, 0.219238f, 0.230347f, 0.241943f, - 0.254150f, 0.266113f, 0.279053f, 0.291504f, 0.304932f, 0.318848f, 0.332031f, 0.345947f, 0.360107f, 0.375000f, 0.389404f, 0.404541f, - 0.419922f, 0.434814f, 0.450684f, 0.466553f, 0.482910f, 0.499023f, 0.516113f, 0.533203f, 0.550293f, 0.567383f, 0.783203f, 0.790527f, - 0.789551f, 0.786621f, 0.783691f, 0.780762f, 0.001852f, 0.005554f, 0.008957f, 0.012642f, 0.016296f, 0.020172f, 0.024033f, 0.027878f, - 0.031677f, 0.035919f, 0.040253f, 0.044952f, 0.049255f, 0.053955f, 0.058960f, 0.063965f, 0.069336f, 0.074951f, 0.080933f, 0.087219f, - 0.093201f, 0.100159f, 0.106689f, 0.114197f, 0.121521f, 0.129517f, 0.137817f, 0.146118f, 0.155151f, 0.164307f, 0.173462f, 0.183472f, - 0.193970f, 0.204224f, 0.215210f, 0.226562f, 0.238037f, 0.250244f, 0.262451f, 0.274902f, 0.287598f, 0.301025f, 0.314209f, 0.327393f, - 0.342041f, 0.356445f, 0.370850f, 0.385254f, 0.400879f, 0.415771f, 0.431396f, 0.446777f, 0.463379f, 0.480469f, 0.497314f, 0.514160f, - 0.530273f, 0.547363f, 0.774414f, 0.783203f, 0.782715f, 0.779297f, 0.776367f, 0.773438f, 0.001690f, 0.005207f, 0.008278f, 0.011696f, - 0.015068f, 0.018784f, 0.022186f, 0.025909f, 0.029221f, 0.033508f, 0.037109f, 0.041321f, 0.045471f, 0.049774f, 0.054108f, 0.058838f, - 0.063843f, 0.069214f, 0.074280f, 0.080078f, 0.086243f, 0.091980f, 0.098083f, 0.105164f, 0.111877f, 0.119446f, 0.126953f, 0.134888f, - 0.143555f, 0.151978f, 0.161133f, 0.170532f, 0.180176f, 0.189697f, 0.200684f, 0.211182f, 0.222412f, 0.234009f, 0.245972f, 0.257568f, - 0.270508f, 0.282959f, 0.295898f, 0.309570f, 0.323486f, 0.337158f, 0.351562f, 0.366211f, 0.381104f, 0.396729f, 0.411865f, 0.427490f, - 0.443604f, 0.459961f, 0.477051f, 0.494385f, 0.510742f, 0.529297f, 0.763184f, 0.774902f, 0.773438f, 0.771973f, 0.769043f, 0.767578f, - 0.001528f, 0.004692f, 0.007587f, 0.010956f, 0.014221f, 0.016907f, 0.020218f, 0.023407f, 0.027283f, 0.030273f, 0.033997f, 0.038055f, - 0.041809f, 0.045959f, 0.049683f, 0.053955f, 0.058838f, 0.063171f, 0.068176f, 0.073120f, 0.078491f, 0.084473f, 0.090332f, 0.096619f, - 0.102905f, 0.109619f, 0.116699f, 0.124207f, 0.131958f, 0.140503f, 0.148438f, 0.157349f, 0.166626f, 0.176392f, 0.186157f, 0.196045f, - 0.207031f, 0.218018f, 0.229736f, 0.241699f, 0.253174f, 0.265381f, 0.278320f, 0.291748f, 0.305176f, 0.318848f, 0.333496f, 0.347412f, - 0.362305f, 0.376709f, 0.392822f, 0.407715f, 0.424072f, 0.440430f, 0.457031f, 0.473633f, 0.491211f, 0.508789f, 0.753906f, 0.766602f, - 0.767090f, 0.764160f, 0.761719f, 0.759766f, 0.001261f, 0.004250f, 0.007389f, 0.010185f, 0.013023f, 0.015976f, 0.018692f, 0.021713f, - 0.024734f, 0.028183f, 0.031464f, 0.034943f, 0.038452f, 0.041870f, 0.045410f, 0.049561f, 0.054047f, 0.058044f, 0.062164f, 0.067017f, - 0.071838f, 0.077332f, 0.082581f, 0.088318f, 0.094360f, 0.100525f, 0.107117f, 0.114258f, 0.121643f, 0.128540f, 0.136841f, 0.144897f, - 0.153931f, 0.162476f, 0.171875f, 0.182007f, 0.192139f, 0.202637f, 0.213623f, 0.224854f, 0.237183f, 0.248657f, 0.260986f, 0.274170f, - 0.287354f, 0.300781f, 0.314453f, 0.328613f, 0.343018f, 0.358643f, 0.373291f, 0.388916f, 0.404785f, 0.420654f, 0.437744f, 0.454590f, - 0.471924f, 0.489990f, 0.744629f, 0.757812f, 0.757812f, 0.756836f, 0.754395f, 0.752441f, 0.001527f, 0.004047f, 0.006680f, 0.009369f, - 0.012024f, 0.014618f, 0.017288f, 0.020248f, 0.022705f, 0.025803f, 0.028778f, 0.031769f, 0.034912f, 0.038330f, 0.041595f, 0.045166f, - 0.048737f, 0.052673f, 0.056885f, 0.061218f, 0.065552f, 0.070251f, 0.075012f, 0.080505f, 0.086060f, 0.091614f, 0.097656f, 0.104065f, - 0.110901f, 0.118225f, 0.125366f, 0.133179f, 0.141357f, 0.149902f, 0.158569f, 0.168213f, 0.177734f, 0.187866f, 0.198364f, 0.208984f, - 0.220581f, 0.232422f, 0.244019f, 0.256836f, 0.269287f, 0.282471f, 0.296143f, 0.309326f, 0.324463f, 0.338379f, 0.353760f, 0.368652f, - 0.385498f, 0.400635f, 0.417725f, 0.434570f, 0.451660f, 0.469482f, 0.733887f, 0.749023f, 0.750977f, 0.749023f, 0.747070f, 0.744629f, - 0.001313f, 0.003803f, 0.006126f, 0.008507f, 0.011185f, 0.013550f, 0.015839f, 0.018219f, 0.021027f, 0.023438f, 0.026520f, 0.029129f, - 0.031738f, 0.034821f, 0.037964f, 0.041138f, 0.044434f, 0.048035f, 0.051636f, 0.055420f, 0.059540f, 0.063782f, 0.068176f, 0.073181f, - 0.077881f, 0.083496f, 0.088989f, 0.094849f, 0.101440f, 0.107849f, 0.114441f, 0.121887f, 0.129395f, 0.137207f, 0.145874f, 0.154419f, - 0.163574f, 0.173462f, 0.183228f, 0.193726f, 0.204712f, 0.216064f, 0.227661f, 0.239624f, 0.251709f, 0.264648f, 0.277832f, 0.291504f, - 0.305664f, 0.320312f, 0.334473f, 0.349854f, 0.365479f, 0.380615f, 0.397217f, 0.414551f, 0.432129f, 0.449951f, 0.722656f, 0.740234f, - 0.741699f, 0.741211f, 0.739746f, 0.737793f, 0.001137f, 0.003654f, 0.005871f, 0.007881f, 0.010262f, 0.012268f, 0.014496f, 0.017059f, - 0.018890f, 0.021317f, 0.023605f, 0.026291f, 0.029007f, 0.031494f, 0.034515f, 0.036987f, 0.040375f, 0.043457f, 0.046936f, 0.050385f, - 0.053925f, 0.058044f, 0.061981f, 0.066650f, 0.070679f, 0.075562f, 0.080994f, 0.085938f, 0.091919f, 0.098450f, 0.104370f, 0.110840f, - 0.118164f, 0.125366f, 0.133301f, 0.141357f, 0.150024f, 0.159546f, 0.168457f, 0.178711f, 0.189453f, 0.199707f, 0.211060f, 0.222656f, - 0.234741f, 0.247314f, 0.260010f, 0.272705f, 0.287354f, 0.300781f, 0.315674f, 0.330322f, 0.345947f, 0.362061f, 0.377441f, 0.394775f, - 0.412109f, 0.429199f, 0.712891f, 0.730957f, 0.733398f, 0.733398f, 0.731445f, 0.729492f, 0.001163f, 0.003218f, 0.005329f, 0.007542f, - 0.009331f, 0.011330f, 0.013367f, 0.015434f, 0.017685f, 0.019714f, 0.021515f, 0.024139f, 0.026062f, 0.028763f, 0.031204f, 0.033722f, - 0.036163f, 0.039398f, 0.041992f, 0.045624f, 0.048553f, 0.051971f, 0.056000f, 0.059937f, 0.063904f, 0.068054f, 0.072876f, 0.077820f, - 0.083374f, 0.088623f, 0.094116f, 0.100830f, 0.107117f, 0.114197f, 0.121399f, 0.129272f, 0.136963f, 0.145630f, 0.154785f, 0.163696f, - 0.173828f, 0.184204f, 0.194946f, 0.205933f, 0.217529f, 0.229614f, 0.242676f, 0.255859f, 0.269043f, 0.282471f, 0.296387f, 0.311523f, - 0.326172f, 0.341553f, 0.357910f, 0.374756f, 0.391846f, 0.409180f, 0.701660f, 0.721680f, 0.723633f, 0.724609f, 0.723145f, 0.722656f, - 0.001008f, 0.003147f, 0.004818f, 0.006882f, 0.008530f, 0.010468f, 0.012390f, 0.013832f, 0.016006f, 0.017899f, 0.019608f, 0.021866f, - 0.023849f, 0.025940f, 0.027847f, 0.030350f, 0.032806f, 0.035187f, 0.037994f, 0.040619f, 0.043732f, 0.046875f, 0.050110f, 0.053833f, - 0.057617f, 0.061371f, 0.065613f, 0.070068f, 0.074768f, 0.079895f, 0.085144f, 0.090637f, 0.096863f, 0.103149f, 0.110107f, 0.116943f, - 0.124634f, 0.132568f, 0.140991f, 0.149536f, 0.159302f, 0.169189f, 0.179443f, 0.189575f, 0.201538f, 0.213013f, 0.225342f, 0.236938f, - 0.250244f, 0.264160f, 0.278320f, 0.292236f, 0.307617f, 0.322021f, 0.337891f, 0.354248f, 0.371582f, 0.389160f, 0.689941f, 0.712891f, - 0.715820f, 0.715820f, 0.715820f, 0.714355f, 0.001126f, 0.002708f, 0.004486f, 0.006313f, 0.007927f, 0.009659f, 0.011238f, 0.012833f, - 0.014435f, 0.015823f, 0.017670f, 0.019485f, 0.021347f, 0.023453f, 0.025101f, 0.027161f, 0.029160f, 0.031525f, 0.033752f, 0.036560f, - 0.039154f, 0.041687f, 0.044891f, 0.047943f, 0.051453f, 0.054871f, 0.058655f, 0.062622f, 0.067078f, 0.071411f, 0.076355f, 0.081665f, - 0.086792f, 0.092957f, 0.098877f, 0.105713f, 0.112549f, 0.119995f, 0.127563f, 0.135864f, 0.144897f, 0.154297f, 0.164185f, 0.173828f, - 0.185059f, 0.196045f, 0.208008f, 0.219849f, 0.232666f, 0.245483f, 0.259033f, 0.273438f, 0.287842f, 0.302734f, 0.318604f, 0.334473f, - 0.351318f, 0.369385f, 0.679688f, 0.702637f, 0.707031f, 0.707031f, 0.707031f, 0.705566f, 0.000980f, 0.002733f, 0.004021f, 0.005688f, - 0.007084f, 0.008553f, 0.010345f, 0.011513f, 0.012962f, 0.014297f, 0.015823f, 0.017609f, 0.019119f, 0.020721f, 0.022568f, 0.024200f, - 0.026291f, 0.028000f, 0.030457f, 0.032410f, 0.034912f, 0.037476f, 0.039734f, 0.042786f, 0.045563f, 0.048920f, 0.052185f, 0.055817f, - 0.059662f, 0.063660f, 0.067993f, 0.072632f, 0.077759f, 0.083191f, 0.088623f, 0.094971f, 0.101135f, 0.107849f, 0.115479f, 0.122864f, - 0.131592f, 0.139893f, 0.149414f, 0.158447f, 0.169067f, 0.179443f, 0.191040f, 0.202393f, 0.214478f, 0.227539f, 0.240723f, 0.255127f, - 0.268555f, 0.283447f, 0.298828f, 0.315186f, 0.331787f, 0.348389f, 0.667480f, 0.693359f, 0.697754f, 0.698730f, 0.698242f, 0.697754f, - 0.000870f, 0.002420f, 0.003994f, 0.005165f, 0.006584f, 0.007763f, 0.009209f, 0.010468f, 0.011604f, 0.013336f, 0.013977f, 0.015442f, - 0.016830f, 0.018509f, 0.020065f, 0.021606f, 0.023224f, 0.024933f, 0.026672f, 0.028656f, 0.030914f, 0.033112f, 0.035187f, 0.037689f, - 0.040344f, 0.043335f, 0.046234f, 0.049438f, 0.052948f, 0.056427f, 0.060394f, 0.064331f, 0.069031f, 0.073853f, 0.078735f, 0.084412f, - 0.090271f, 0.096436f, 0.103455f, 0.110229f, 0.118042f, 0.126099f, 0.134766f, 0.143921f, 0.153198f, 0.163696f, 0.174438f, 0.185913f, - 0.197754f, 0.210083f, 0.222778f, 0.235962f, 0.250000f, 0.264648f, 0.279053f, 0.294922f, 0.311279f, 0.328613f, 0.655273f, 0.684082f, - 0.688477f, 0.689941f, 0.689941f, 0.689941f, 0.000790f, 0.002153f, 0.003576f, 0.004726f, 0.005966f, 0.007172f, 0.008186f, 0.009453f, - 0.010521f, 0.011482f, 0.012772f, 0.013771f, 0.015144f, 0.016434f, 0.017792f, 0.019226f, 0.020355f, 0.022049f, 0.023666f, 0.025375f, - 0.027145f, 0.029297f, 0.030975f, 0.033142f, 0.035339f, 0.037964f, 0.040405f, 0.043365f, 0.046478f, 0.049744f, 0.053101f, 0.057068f, - 0.060944f, 0.065063f, 0.069763f, 0.074646f, 0.079956f, 0.085938f, 0.091675f, 0.098083f, 0.105164f, 0.112732f, 0.121033f, 0.129395f, - 0.138428f, 0.148560f, 0.158325f, 0.169067f, 0.180664f, 0.192139f, 0.205078f, 0.217529f, 0.231934f, 0.246094f, 0.260010f, 0.275391f, - 0.292236f, 0.309570f, 0.644043f, 0.673340f, 0.678711f, 0.680664f, 0.680664f, 0.680176f, 0.000538f, 0.002022f, 0.003185f, 0.004456f, - 0.005360f, 0.006321f, 0.007286f, 0.008484f, 0.009422f, 0.010185f, 0.011177f, 0.012283f, 0.013191f, 0.014435f, 0.015587f, 0.016769f, - 0.017914f, 0.019302f, 0.020584f, 0.022171f, 0.023819f, 0.025391f, 0.027222f, 0.028992f, 0.030914f, 0.033234f, 0.035461f, 0.037903f, - 0.040649f, 0.043396f, 0.046326f, 0.049561f, 0.053131f, 0.056946f, 0.061279f, 0.065613f, 0.070374f, 0.075439f, 0.080811f, 0.086731f, - 0.093140f, 0.100037f, 0.107544f, 0.115662f, 0.124023f, 0.132935f, 0.143066f, 0.153320f, 0.163696f, 0.175415f, 0.187012f, 0.200195f, - 0.213013f, 0.227173f, 0.241455f, 0.256592f, 0.272461f, 0.288330f, 0.632812f, 0.663574f, 0.669434f, 0.670898f, 0.671387f, 0.671875f, - 0.000686f, 0.001864f, 0.002884f, 0.003883f, 0.004829f, 0.005592f, 0.006504f, 0.007454f, 0.008064f, 0.008995f, 0.009850f, 0.010948f, - 0.011711f, 0.012581f, 0.013763f, 0.014618f, 0.015701f, 0.016953f, 0.018112f, 0.019180f, 0.020691f, 0.021973f, 0.023560f, 0.025192f, - 0.026962f, 0.028717f, 0.030624f, 0.032959f, 0.035004f, 0.037567f, 0.040314f, 0.043121f, 0.046204f, 0.049713f, 0.053284f, 0.057129f, - 0.061157f, 0.065796f, 0.071167f, 0.076477f, 0.082214f, 0.088379f, 0.095276f, 0.102600f, 0.110596f, 0.118652f, 0.127808f, 0.137817f, - 0.147705f, 0.158569f, 0.170166f, 0.182251f, 0.195068f, 0.208008f, 0.222656f, 0.237671f, 0.252686f, 0.269287f, 0.620605f, 0.653320f, - 0.659180f, 0.661621f, 0.663086f, 0.663574f, 0.000782f, 0.001828f, 0.002949f, 0.003487f, 0.004421f, 0.005032f, 0.005878f, 0.006557f, - 0.007332f, 0.008110f, 0.008591f, 0.009537f, 0.010094f, 0.011147f, 0.011864f, 0.012779f, 0.013573f, 0.014549f, 0.015625f, 0.016846f, - 0.017822f, 0.018936f, 0.020279f, 0.021729f, 0.023117f, 0.024704f, 0.026505f, 0.028183f, 0.030289f, 0.032349f, 0.034546f, 0.037109f, - 0.039703f, 0.042786f, 0.045837f, 0.049133f, 0.053009f, 0.056763f, 0.061584f, 0.066284f, 0.071411f, 0.076843f, 0.083191f, 0.089722f, - 0.097290f, 0.104919f, 0.113647f, 0.122498f, 0.132324f, 0.142578f, 0.153809f, 0.164917f, 0.177612f, 0.190430f, 0.203857f, 0.218506f, - 0.233887f, 0.249390f, 0.606934f, 0.642578f, 0.649414f, 0.653320f, 0.652832f, 0.654785f, 0.000604f, 0.001636f, 0.002550f, 0.003180f, - 0.003799f, 0.004498f, 0.005051f, 0.005573f, 0.006325f, 0.006836f, 0.007607f, 0.008087f, 0.008820f, 0.009483f, 0.010132f, 0.010918f, - 0.011665f, 0.012527f, 0.013535f, 0.014297f, 0.015251f, 0.016190f, 0.017288f, 0.018433f, 0.019791f, 0.021133f, 0.022400f, 0.023865f, - 0.025742f, 0.027664f, 0.029373f, 0.031677f, 0.034027f, 0.036255f, 0.039032f, 0.042023f, 0.045197f, 0.048798f, 0.052643f, 0.056824f, - 0.061493f, 0.066467f, 0.072327f, 0.078308f, 0.084473f, 0.091858f, 0.099609f, 0.108032f, 0.117249f, 0.126831f, 0.137451f, 0.148193f, - 0.160034f, 0.172729f, 0.186035f, 0.199829f, 0.214722f, 0.229980f, 0.596680f, 0.632812f, 0.638672f, 0.642578f, 0.644531f, 0.645020f, - 0.000447f, 0.001384f, 0.001986f, 0.002697f, 0.003225f, 0.003828f, 0.004501f, 0.005009f, 0.005459f, 0.006027f, 0.006474f, 0.006935f, - 0.007591f, 0.008217f, 0.008644f, 0.009308f, 0.010025f, 0.010498f, 0.011330f, 0.012100f, 0.012909f, 0.013924f, 0.014618f, 0.015610f, - 0.016739f, 0.017807f, 0.019043f, 0.020340f, 0.021622f, 0.023178f, 0.024979f, 0.026520f, 0.028366f, 0.030640f, 0.032959f, 0.035492f, - 0.038239f, 0.041260f, 0.044495f, 0.048340f, 0.052399f, 0.056732f, 0.061768f, 0.067017f, 0.072754f, 0.079224f, 0.086304f, 0.093994f, - 0.102478f, 0.111511f, 0.121521f, 0.132080f, 0.143311f, 0.155518f, 0.168213f, 0.181763f, 0.196411f, 0.211548f, 0.583008f, 0.621094f, - 0.629395f, 0.632324f, 0.634766f, 0.635742f, 0.000375f, 0.001324f, 0.001728f, 0.002466f, 0.002872f, 0.003384f, 0.003685f, 0.004185f, - 0.004845f, 0.005184f, 0.005444f, 0.006130f, 0.006401f, 0.006844f, 0.007446f, 0.007957f, 0.008636f, 0.008965f, 0.009659f, 0.010139f, - 0.010971f, 0.011742f, 0.012497f, 0.013138f, 0.014099f, 0.014992f, 0.015900f, 0.017166f, 0.018143f, 0.019485f, 0.020676f, 0.022156f, - 0.023697f, 0.025528f, 0.027374f, 0.029556f, 0.031921f, 0.034424f, 0.037445f, 0.040375f, 0.044067f, 0.047577f, 0.052155f, 0.056824f, - 0.062042f, 0.067688f, 0.074158f, 0.081055f, 0.088745f, 0.097351f, 0.106323f, 0.116455f, 0.127075f, 0.138672f, 0.151123f, 0.164062f, - 0.177856f, 0.192871f, 0.570801f, 0.610840f, 0.619629f, 0.623047f, 0.625488f, 0.625977f, 0.000432f, 0.000921f, 0.001664f, 0.002056f, - 0.002697f, 0.003061f, 0.003326f, 0.003757f, 0.004044f, 0.004379f, 0.004761f, 0.004948f, 0.005463f, 0.005791f, 0.006199f, 0.006752f, - 0.007229f, 0.007526f, 0.008156f, 0.008621f, 0.009193f, 0.009712f, 0.010330f, 0.010994f, 0.011688f, 0.012466f, 0.013374f, 0.014153f, - 0.015099f, 0.016083f, 0.017212f, 0.018250f, 0.019623f, 0.021210f, 0.022614f, 0.024445f, 0.026321f, 0.028351f, 0.030762f, 0.033325f, - 0.036377f, 0.039642f, 0.043304f, 0.047485f, 0.051880f, 0.056885f, 0.062469f, 0.068542f, 0.075623f, 0.083374f, 0.091919f, 0.101135f, - 0.111389f, 0.122559f, 0.134277f, 0.146606f, 0.160278f, 0.174683f, 0.557617f, 0.600098f, 0.609375f, 0.612793f, 0.615723f, 0.616699f, - 0.000255f, 0.000997f, 0.001393f, 0.001908f, 0.002239f, 0.002512f, 0.002720f, 0.003166f, 0.003283f, 0.003616f, 0.003866f, 0.004223f, - 0.004597f, 0.004795f, 0.005127f, 0.005573f, 0.005939f, 0.006359f, 0.006657f, 0.007133f, 0.007687f, 0.008041f, 0.008545f, 0.009087f, - 0.009636f, 0.010300f, 0.010910f, 0.011757f, 0.012489f, 0.013313f, 0.014153f, 0.014954f, 0.016037f, 0.017258f, 0.018555f, 0.019867f, - 0.021530f, 0.023239f, 0.025055f, 0.027252f, 0.029663f, 0.032379f, 0.035339f, 0.038666f, 0.042664f, 0.047058f, 0.051849f, 0.057465f, - 0.063416f, 0.070557f, 0.078369f, 0.086731f, 0.096313f, 0.106384f, 0.117798f, 0.129761f, 0.143311f, 0.156982f, 0.544922f, 0.588867f, - 0.599121f, 0.602539f, 0.605469f, 0.606445f, 0.000353f, 0.000879f, 0.001276f, 0.001613f, 0.001785f, 0.002075f, 0.002300f, 0.002501f, - 0.002808f, 0.003010f, 0.003283f, 0.003487f, 0.003714f, 0.003967f, 0.004269f, 0.004597f, 0.004837f, 0.005230f, 0.005512f, 0.005878f, - 0.006203f, 0.006626f, 0.007030f, 0.007519f, 0.007866f, 0.008354f, 0.009010f, 0.009468f, 0.010017f, 0.010765f, 0.011444f, 0.012291f, - 0.013100f, 0.014030f, 0.015030f, 0.016098f, 0.017441f, 0.018646f, 0.020157f, 0.021912f, 0.023804f, 0.026047f, 0.028488f, 0.031342f, - 0.034424f, 0.037994f, 0.042206f, 0.046997f, 0.052338f, 0.058533f, 0.065369f, 0.073364f, 0.081787f, 0.091492f, 0.102356f, 0.113647f, - 0.126343f, 0.139526f, 0.531250f, 0.579102f, 0.587891f, 0.592773f, 0.595703f, 0.596680f, 0.000295f, 0.000784f, 0.000912f, 0.001261f, - 0.001517f, 0.001761f, 0.001893f, 0.002113f, 0.002211f, 0.002432f, 0.002676f, 0.002861f, 0.002993f, 0.003294f, 0.003479f, 0.003700f, - 0.003933f, 0.004242f, 0.004452f, 0.004745f, 0.004974f, 0.005428f, 0.005642f, 0.006081f, 0.006401f, 0.006817f, 0.007240f, 0.007641f, - 0.008209f, 0.008667f, 0.009361f, 0.009720f, 0.010506f, 0.011261f, 0.012024f, 0.012794f, 0.013840f, 0.014893f, 0.016113f, 0.017395f, - 0.018860f, 0.020493f, 0.022446f, 0.024658f, 0.027283f, 0.030228f, 0.033691f, 0.037659f, 0.042145f, 0.047546f, 0.053467f, 0.060547f, - 0.068359f, 0.077332f, 0.087158f, 0.098145f, 0.109741f, 0.123230f, 0.517090f, 0.566895f, 0.576660f, 0.581543f, 0.584961f, 0.587402f, - 0.000247f, 0.000702f, 0.000849f, 0.001033f, 0.001304f, 0.001416f, 0.001576f, 0.001754f, 0.001860f, 0.001953f, 0.002104f, 0.002327f, - 0.002419f, 0.002651f, 0.002785f, 0.003014f, 0.003134f, 0.003315f, 0.003584f, 0.003813f, 0.004078f, 0.004295f, 0.004555f, 0.004784f, - 0.005013f, 0.005329f, 0.005669f, 0.006069f, 0.006439f, 0.006821f, 0.007381f, 0.007797f, 0.008301f, 0.008812f, 0.009430f, 0.010139f, - 0.010948f, 0.011642f, 0.012573f, 0.013664f, 0.014671f, 0.016052f, 0.017502f, 0.019135f, 0.021255f, 0.023438f, 0.026199f, 0.029312f, - 0.033203f, 0.037476f, 0.042725f, 0.048828f, 0.055695f, 0.063721f, 0.072937f, 0.082947f, 0.094666f, 0.107117f, 0.504883f, 0.555664f, - 0.566406f, 0.572754f, 0.574707f, 0.577148f, 0.000217f, 0.000516f, 0.000750f, 0.000898f, 0.001011f, 0.001117f, 0.001203f, 0.001307f, - 0.001470f, 0.001604f, 0.001659f, 0.001750f, 0.001945f, 0.002121f, 0.002249f, 0.002316f, 0.002478f, 0.002581f, 0.002832f, 0.003000f, - 0.003164f, 0.003334f, 0.003593f, 0.003784f, 0.003990f, 0.004196f, 0.004440f, 0.004673f, 0.005035f, 0.005329f, 0.005642f, 0.005981f, - 0.006462f, 0.006916f, 0.007313f, 0.007805f, 0.008377f, 0.008987f, 0.009727f, 0.010521f, 0.011314f, 0.012421f, 0.013466f, 0.014755f, - 0.016235f, 0.017914f, 0.019913f, 0.022461f, 0.025330f, 0.028778f, 0.033081f, 0.038239f, 0.044189f, 0.051422f, 0.059662f, 0.069336f, - 0.080200f, 0.091980f, 0.492676f, 0.543945f, 0.555664f, 0.561035f, 0.564453f, 0.566406f, 0.000131f, 0.000355f, 0.000605f, 0.000759f, - 0.000832f, 0.000904f, 0.001018f, 0.000975f, 0.001144f, 0.001235f, 0.001336f, 0.001447f, 0.001518f, 0.001620f, 0.001668f, 0.001835f, - 0.001901f, 0.002045f, 0.002188f, 0.002270f, 0.002424f, 0.002577f, 0.002707f, 0.002893f, 0.003002f, 0.003223f, 0.003407f, 0.003572f, - 0.003851f, 0.004017f, 0.004391f, 0.004608f, 0.004833f, 0.005203f, 0.005497f, 0.005886f, 0.006351f, 0.006771f, 0.007278f, 0.007858f, - 0.008560f, 0.009315f, 0.010086f, 0.011078f, 0.012222f, 0.013443f, 0.015022f, 0.016769f, 0.018967f, 0.021591f, 0.024780f, 0.028931f, - 0.033875f, 0.039734f, 0.047241f, 0.056122f, 0.066101f, 0.077637f, 0.477783f, 0.532715f, 0.544922f, 0.551270f, 0.553711f, 0.555664f, - 0.000245f, 0.000303f, 0.000473f, 0.000498f, 0.000544f, 0.000707f, 0.000700f, 0.000767f, 0.000802f, 0.000892f, 0.001021f, 0.001086f, - 0.001140f, 0.001260f, 0.001303f, 0.001325f, 0.001462f, 0.001553f, 0.001603f, 0.001746f, 0.001816f, 0.001904f, 0.002043f, 0.002127f, - 0.002254f, 0.002356f, 0.002548f, 0.002672f, 0.002851f, 0.003092f, 0.003265f, 0.003374f, 0.003647f, 0.003891f, 0.004097f, 0.004360f, - 0.004669f, 0.004997f, 0.005390f, 0.005810f, 0.006226f, 0.006756f, 0.007450f, 0.008095f, 0.008934f, 0.009827f, 0.010902f, 0.012268f, - 0.013840f, 0.015701f, 0.018036f, 0.021072f, 0.024948f, 0.029800f, 0.035980f, 0.043945f, 0.053345f, 0.063843f, 0.465576f, 0.520996f, - 0.535645f, 0.540039f, 0.543457f, 0.545898f, 0.000108f, 0.000275f, 0.000332f, 0.000402f, 0.000462f, 0.000468f, 0.000580f, 0.000522f, - 0.000616f, 0.000657f, 0.000758f, 0.000762f, 0.000812f, 0.000870f, 0.000945f, 0.000978f, 0.001054f, 0.001109f, 0.001179f, 0.001213f, - 0.001311f, 0.001371f, 0.001473f, 0.001558f, 0.001629f, 0.001718f, 0.001837f, 0.001903f, 0.002016f, 0.002159f, 0.002258f, 0.002478f, - 0.002548f, 0.002731f, 0.002909f, 0.003086f, 0.003317f, 0.003580f, 0.003885f, 0.004116f, 0.004421f, 0.004818f, 0.005264f, 0.005745f, - 0.006294f, 0.006966f, 0.007748f, 0.008667f, 0.009766f, 0.011086f, 0.012787f, 0.014908f, 0.017746f, 0.021271f, 0.026382f, 0.032990f, - 0.041199f, 0.051239f, 0.452393f, 0.509277f, 0.522461f, 0.529297f, 0.533203f, 0.535156f, 0.000016f, 0.000143f, 0.000244f, 0.000315f, - 0.000309f, 0.000391f, 0.000344f, 0.000402f, 0.000429f, 0.000517f, 0.000522f, 0.000526f, 0.000546f, 0.000606f, 0.000628f, 0.000705f, - 0.000692f, 0.000781f, 0.000837f, 0.000868f, 0.000923f, 0.000969f, 0.001013f, 0.001070f, 0.001142f, 0.001186f, 0.001273f, 0.001326f, - 0.001397f, 0.001534f, 0.001561f, 0.001685f, 0.001775f, 0.001873f, 0.002024f, 0.002153f, 0.002272f, 0.002443f, 0.002611f, 0.002800f, - 0.003014f, 0.003250f, 0.003529f, 0.003868f, 0.004227f, 0.004692f, 0.005192f, 0.005836f, 0.006603f, 0.007587f, 0.008751f, 0.010193f, - 0.012001f, 0.014610f, 0.018219f, 0.023392f, 0.030594f, 0.039795f, 0.437744f, 0.498291f, 0.512207f, 0.517578f, 0.521484f, 0.525391f, - 0.000102f, 0.000186f, 0.000171f, 0.000181f, 0.000227f, 0.000229f, 0.000231f, 0.000278f, 0.000293f, 0.000304f, 0.000314f, 0.000375f, - 0.000365f, 0.000411f, 0.000446f, 0.000457f, 0.000496f, 0.000513f, 0.000533f, 0.000554f, 0.000603f, 0.000622f, 0.000669f, 0.000708f, - 0.000757f, 0.000789f, 0.000843f, 0.000875f, 0.000925f, 0.000964f, 0.001037f, 0.001094f, 0.001172f, 0.001243f, 0.001324f, 0.001373f, - 0.001497f, 0.001570f, 0.001712f, 0.001829f, 0.001947f, 0.002123f, 0.002291f, 0.002472f, 0.002703f, 0.003008f, 0.003342f, 0.003757f, - 0.004204f, 0.004810f, 0.005539f, 0.006554f, 0.007828f, 0.009537f, 0.011894f, 0.015442f, 0.021072f, 0.029282f, 0.424561f, 0.486084f, - 0.500488f, 0.506836f, 0.512207f, 0.514648f, 0.000014f, 0.000127f, 0.000112f, 0.000109f, 0.000143f, 0.000165f, 0.000141f, 0.000180f, - 0.000185f, 0.000191f, 0.000196f, 0.000203f, 0.000233f, 0.000252f, 0.000260f, 0.000274f, 0.000288f, 0.000314f, 0.000328f, 0.000363f, - 0.000362f, 0.000374f, 0.000400f, 0.000436f, 0.000464f, 0.000501f, 0.000504f, 0.000521f, 0.000563f, 0.000593f, 0.000635f, 0.000671f, - 0.000712f, 0.000740f, 0.000800f, 0.000837f, 0.000892f, 0.000955f, 0.001030f, 0.001092f, 0.001167f, 0.001270f, 0.001369f, 0.001491f, - 0.001626f, 0.001769f, 0.001993f, 0.002209f, 0.002523f, 0.002863f, 0.003325f, 0.003880f, 0.004715f, 0.005764f, 0.007320f, 0.009468f, - 0.013344f, 0.020187f, 0.410645f, 0.473877f, 0.489258f, 0.496826f, 0.500488f, 0.503906f, 0.000103f, 0.000078f, 0.000067f, 0.000065f, - 0.000086f, 0.000085f, 0.000101f, 0.000106f, 0.000106f, 0.000107f, 0.000115f, 0.000133f, 0.000118f, 0.000133f, 0.000154f, 0.000150f, - 0.000167f, 0.000177f, 0.000180f, 0.000190f, 0.000207f, 0.000213f, 0.000228f, 0.000238f, 0.000267f, 0.000277f, 0.000287f, 0.000298f, - 0.000313f, 0.000325f, 0.000347f, 0.000375f, 0.000393f, 0.000405f, 0.000440f, 0.000463f, 0.000486f, 0.000527f, 0.000562f, 0.000599f, - 0.000639f, 0.000688f, 0.000757f, 0.000807f, 0.000879f, 0.000961f, 0.001059f, 0.001180f, 0.001342f, 0.001533f, 0.001762f, 0.002102f, - 0.002502f, 0.003128f, 0.004028f, 0.005379f, 0.007591f, 0.012505f, 0.397217f, 0.462891f, 0.478760f, 0.485840f, 0.490479f, 0.492676f, - 0.000087f, 0.000063f, 0.000054f, 0.000048f, 0.000047f, 0.000044f, 0.000046f, 0.000047f, 0.000047f, 0.000060f, 0.000053f, 0.000056f, - 0.000072f, 0.000060f, 0.000064f, 0.000069f, 0.000078f, 0.000085f, 0.000084f, 0.000090f, 0.000094f, 0.000102f, 0.000105f, 0.000111f, - 0.000116f, 0.000126f, 0.000132f, 0.000150f, 0.000147f, 0.000158f, 0.000167f, 0.000178f, 0.000185f, 0.000192f, 0.000211f, 0.000216f, - 0.000226f, 0.000246f, 0.000265f, 0.000284f, 0.000299f, 0.000325f, 0.000349f, 0.000381f, 0.000415f, 0.000448f, 0.000490f, 0.000544f, - 0.000612f, 0.000694f, 0.000798f, 0.000943f, 0.001139f, 0.001436f, 0.001870f, 0.002586f, 0.003817f, 0.006474f, 0.383545f, 0.450195f, - 0.467041f, 0.474365f, 0.478760f, 0.482422f, 0.000065f, 0.000045f, 0.000037f, 0.000033f, 0.000030f, 0.000028f, 0.000026f, 0.000025f, - 0.000024f, 0.000022f, 0.000021f, 0.000025f, 0.000020f, 0.000021f, 0.000025f, 0.000029f, 0.000028f, 0.000031f, 0.000033f, 0.000034f, - 0.000036f, 0.000041f, 0.000045f, 0.000040f, 0.000045f, 0.000049f, 0.000051f, 0.000048f, 0.000055f, 0.000057f, 0.000061f, 0.000066f, - 0.000072f, 0.000068f, 0.000073f, 0.000078f, 0.000087f, 0.000089f, 0.000097f, 0.000104f, 0.000113f, 0.000115f, 0.000128f, 0.000137f, - 0.000148f, 0.000160f, 0.000174f, 0.000194f, 0.000221f, 0.000248f, 0.000283f, 0.000324f, 0.000396f, 0.000496f, 0.000657f, 0.000928f, - 0.001479f, 0.002684f, 0.371094f, 0.438477f, 0.455078f, 0.463867f, 0.468750f, 0.471191f, 0.000029f, 0.000019f, 0.000016f, 0.000014f, - 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, - 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000007f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, - 0.000012f, 0.000011f, 0.000012f, 0.000013f, 0.000015f, 0.000017f, 0.000018f, 0.000018f, 0.000020f, 0.000019f, 0.000021f, 0.000024f, - 0.000024f, 0.000026f, 0.000028f, 0.000031f, 0.000031f, 0.000035f, 0.000040f, 0.000041f, 0.000045f, 0.000052f, 0.000059f, 0.000071f, - 0.000083f, 0.000099f, 0.000132f, 0.000188f, 0.000315f, 0.000712f, 0.356934f, 0.426514f, 0.444824f, 0.452637f, 0.457520f, 0.460938f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000001f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000006f, 0.000010f, 0.000027f, 0.343750f, 0.414795f, - 0.433105f, 0.441895f, 0.446289f, 0.449951f, - }, - { - 0.012436f, 0.037598f, 0.062805f, 0.087891f, 0.113037f, 0.137329f, 0.161621f, 0.185425f, 0.209717f, 0.232544f, 0.255371f, 0.278076f, - 0.300049f, 0.321289f, 0.343506f, 0.364014f, 0.385010f, 0.404785f, 0.424561f, 0.444824f, 0.463623f, 0.482422f, 0.501465f, 0.520020f, - 0.537598f, 0.554688f, 0.572266f, 0.589355f, 0.605957f, 0.622070f, 0.639648f, 0.655273f, 0.670410f, 0.685547f, 0.700684f, 0.715332f, - 0.730469f, 0.744629f, 0.758301f, 0.771973f, 0.785156f, 0.799316f, 0.812012f, 0.825684f, 0.837891f, 0.850586f, 0.863281f, 0.875000f, - 0.887207f, 0.898926f, 0.910156f, 0.921387f, 0.933105f, 0.944336f, 0.954102f, 0.964844f, 0.976074f, 0.985840f, 0.978027f, 0.947266f, - 0.925781f, 0.907715f, 0.892090f, 0.877930f, 0.011276f, 0.034546f, 0.058289f, 0.082031f, 0.105469f, 0.128662f, 0.152344f, 0.174805f, - 0.197876f, 0.219604f, 0.241455f, 0.263672f, 0.284912f, 0.306152f, 0.326416f, 0.347168f, 0.366699f, 0.387695f, 0.406494f, 0.426025f, - 0.444824f, 0.463379f, 0.481934f, 0.500000f, 0.518066f, 0.535645f, 0.552246f, 0.569824f, 0.586426f, 0.603027f, 0.619141f, 0.634766f, - 0.650391f, 0.666016f, 0.681152f, 0.695801f, 0.710938f, 0.725586f, 0.739258f, 0.753906f, 0.768066f, 0.781250f, 0.794922f, 0.807617f, - 0.821289f, 0.833496f, 0.846191f, 0.858398f, 0.870605f, 0.882812f, 0.894531f, 0.906250f, 0.917480f, 0.929199f, 0.939453f, 0.951660f, - 0.961426f, 0.972656f, 0.971680f, 0.942871f, 0.921875f, 0.904785f, 0.889160f, 0.875977f, 0.010628f, 0.032288f, 0.054932f, 0.076172f, - 0.099060f, 0.121216f, 0.142700f, 0.164795f, 0.186279f, 0.207642f, 0.229248f, 0.249756f, 0.269531f, 0.291016f, 0.310791f, 0.331543f, - 0.349609f, 0.369385f, 0.388916f, 0.409180f, 0.427246f, 0.444824f, 0.463135f, 0.480713f, 0.499512f, 0.516602f, 0.533203f, 0.550293f, - 0.567383f, 0.583496f, 0.599609f, 0.615723f, 0.630859f, 0.646973f, 0.661621f, 0.677246f, 0.691895f, 0.705566f, 0.720703f, 0.735352f, - 0.749512f, 0.763184f, 0.776367f, 0.790039f, 0.803223f, 0.816406f, 0.828613f, 0.842285f, 0.854492f, 0.867676f, 0.878418f, 0.890137f, - 0.902832f, 0.913086f, 0.925293f, 0.936035f, 0.947754f, 0.958008f, 0.964844f, 0.937500f, 0.917480f, 0.901367f, 0.886719f, 0.873535f, - 0.009926f, 0.030167f, 0.050995f, 0.071594f, 0.092346f, 0.113892f, 0.134399f, 0.154663f, 0.175537f, 0.195679f, 0.216309f, 0.235840f, - 0.256104f, 0.276611f, 0.295654f, 0.314453f, 0.333496f, 0.353027f, 0.370850f, 0.389404f, 0.408936f, 0.427490f, 0.445312f, 0.462891f, - 0.480225f, 0.497803f, 0.513672f, 0.531250f, 0.547363f, 0.563965f, 0.580078f, 0.597168f, 0.612305f, 0.627930f, 0.642578f, 0.658691f, - 0.673340f, 0.687500f, 0.702637f, 0.717285f, 0.731445f, 0.744629f, 0.758301f, 0.772461f, 0.786133f, 0.799316f, 0.811523f, 0.824707f, - 0.837891f, 0.849121f, 0.861816f, 0.874023f, 0.887207f, 0.898438f, 0.910156f, 0.920898f, 0.932617f, 0.943848f, 0.958008f, 0.932129f, - 0.913086f, 0.897461f, 0.883301f, 0.871094f, 0.009178f, 0.028107f, 0.047729f, 0.066895f, 0.086182f, 0.106384f, 0.125977f, 0.145386f, - 0.165527f, 0.184937f, 0.203857f, 0.224121f, 0.242676f, 0.261475f, 0.281006f, 0.300049f, 0.318604f, 0.336426f, 0.355469f, 0.372314f, - 0.391113f, 0.409424f, 0.426514f, 0.444092f, 0.461426f, 0.477783f, 0.495850f, 0.512207f, 0.528809f, 0.544434f, 0.561035f, 0.576660f, - 0.593262f, 0.608398f, 0.623047f, 0.638184f, 0.655273f, 0.668945f, 0.682617f, 0.697754f, 0.712402f, 0.726562f, 0.740234f, 0.753906f, - 0.768066f, 0.781250f, 0.794434f, 0.807617f, 0.820312f, 0.833496f, 0.845215f, 0.858398f, 0.870605f, 0.881836f, 0.894043f, 0.906738f, - 0.917480f, 0.928711f, 0.951172f, 0.926758f, 0.909180f, 0.893555f, 0.880859f, 0.868164f, 0.008667f, 0.025986f, 0.044922f, 0.062805f, - 0.081421f, 0.099854f, 0.118347f, 0.137085f, 0.155518f, 0.173828f, 0.193115f, 0.211304f, 0.229858f, 0.248413f, 0.266602f, 0.285400f, - 0.303223f, 0.321045f, 0.339111f, 0.357178f, 0.373779f, 0.391357f, 0.409424f, 0.426270f, 0.443115f, 0.460449f, 0.476807f, 0.494141f, - 0.510254f, 0.526855f, 0.541992f, 0.559082f, 0.574219f, 0.589355f, 0.605469f, 0.620117f, 0.636230f, 0.649902f, 0.664551f, 0.678711f, - 0.693848f, 0.707031f, 0.723145f, 0.736328f, 0.750977f, 0.762695f, 0.776855f, 0.790039f, 0.803223f, 0.816406f, 0.828613f, 0.842285f, - 0.853516f, 0.866211f, 0.878906f, 0.890625f, 0.902832f, 0.913574f, 0.944336f, 0.921875f, 0.903809f, 0.889160f, 0.876953f, 0.865234f, - 0.008057f, 0.024658f, 0.041321f, 0.058411f, 0.075989f, 0.093811f, 0.110535f, 0.128784f, 0.146729f, 0.164307f, 0.182007f, 0.200073f, - 0.217773f, 0.234619f, 0.252930f, 0.271240f, 0.288086f, 0.306152f, 0.322998f, 0.341064f, 0.357910f, 0.374756f, 0.391357f, 0.409180f, - 0.425293f, 0.442383f, 0.458496f, 0.475342f, 0.491455f, 0.507324f, 0.523438f, 0.539551f, 0.555176f, 0.570312f, 0.585938f, 0.601074f, - 0.616699f, 0.631836f, 0.646484f, 0.660645f, 0.676270f, 0.688477f, 0.704102f, 0.718262f, 0.731445f, 0.745117f, 0.760254f, 0.771484f, - 0.785156f, 0.799316f, 0.812500f, 0.824707f, 0.836914f, 0.850098f, 0.862793f, 0.874512f, 0.886719f, 0.898438f, 0.937500f, 0.915527f, - 0.899414f, 0.885254f, 0.872559f, 0.861816f, 0.007477f, 0.022919f, 0.038971f, 0.054901f, 0.070801f, 0.087646f, 0.104065f, 0.121155f, - 0.137573f, 0.155029f, 0.171875f, 0.188721f, 0.206177f, 0.222778f, 0.240112f, 0.257080f, 0.274170f, 0.290283f, 0.308350f, 0.324463f, - 0.342041f, 0.358154f, 0.375488f, 0.391113f, 0.407471f, 0.424561f, 0.440430f, 0.456787f, 0.474121f, 0.489746f, 0.505371f, 0.521484f, - 0.536133f, 0.552246f, 0.565918f, 0.582031f, 0.597168f, 0.613281f, 0.626953f, 0.642578f, 0.656738f, 0.670898f, 0.684570f, 0.699219f, - 0.712891f, 0.727539f, 0.741211f, 0.754395f, 0.768066f, 0.781738f, 0.794434f, 0.808105f, 0.820312f, 0.833984f, 0.846680f, 0.858887f, - 0.871582f, 0.883301f, 0.930176f, 0.910156f, 0.894043f, 0.880371f, 0.868652f, 0.858398f, 0.007023f, 0.021240f, 0.036224f, 0.051300f, - 0.066467f, 0.082092f, 0.097900f, 0.113892f, 0.129517f, 0.145752f, 0.161743f, 0.178223f, 0.194702f, 0.210327f, 0.227661f, 0.243408f, - 0.260986f, 0.276855f, 0.292725f, 0.309814f, 0.326172f, 0.342041f, 0.358398f, 0.375732f, 0.391113f, 0.406982f, 0.422852f, 0.438965f, - 0.454590f, 0.471191f, 0.486816f, 0.502441f, 0.517578f, 0.533203f, 0.548340f, 0.562988f, 0.578613f, 0.593750f, 0.609375f, 0.623535f, - 0.638184f, 0.652832f, 0.666992f, 0.680664f, 0.695312f, 0.708984f, 0.722656f, 0.736816f, 0.750000f, 0.764160f, 0.777344f, 0.789551f, - 0.803223f, 0.816895f, 0.830078f, 0.842773f, 0.854980f, 0.868652f, 0.922852f, 0.904297f, 0.889160f, 0.875977f, 0.864746f, 0.854492f, - 0.006458f, 0.019913f, 0.033691f, 0.048126f, 0.062744f, 0.077026f, 0.092224f, 0.106567f, 0.122192f, 0.137207f, 0.152222f, 0.167725f, - 0.183838f, 0.199951f, 0.215088f, 0.231323f, 0.246826f, 0.262695f, 0.279053f, 0.294678f, 0.310547f, 0.326172f, 0.342041f, 0.358887f, - 0.374268f, 0.389893f, 0.405518f, 0.421143f, 0.437012f, 0.452637f, 0.467773f, 0.483643f, 0.499512f, 0.513672f, 0.529785f, 0.545410f, - 0.560059f, 0.575195f, 0.590332f, 0.604980f, 0.618652f, 0.634277f, 0.648438f, 0.662598f, 0.676270f, 0.690918f, 0.704102f, 0.718750f, - 0.732422f, 0.745605f, 0.760254f, 0.773438f, 0.786621f, 0.801270f, 0.812988f, 0.826172f, 0.839844f, 0.851562f, 0.915527f, 0.897949f, - 0.883789f, 0.871094f, 0.860352f, 0.850586f, 0.006077f, 0.018921f, 0.031464f, 0.045258f, 0.058411f, 0.072144f, 0.085999f, 0.100220f, - 0.114258f, 0.129028f, 0.143677f, 0.158691f, 0.173584f, 0.188477f, 0.203247f, 0.219238f, 0.234497f, 0.249634f, 0.264893f, 0.280273f, - 0.295410f, 0.310791f, 0.326904f, 0.342285f, 0.357910f, 0.373535f, 0.388428f, 0.404053f, 0.420166f, 0.435303f, 0.450195f, 0.465332f, - 0.481201f, 0.496338f, 0.511230f, 0.525879f, 0.540527f, 0.556641f, 0.570312f, 0.585938f, 0.600098f, 0.614746f, 0.629883f, 0.644531f, - 0.657715f, 0.672363f, 0.687012f, 0.700684f, 0.714355f, 0.729004f, 0.742188f, 0.755371f, 0.769531f, 0.782227f, 0.796875f, 0.810059f, - 0.823242f, 0.836426f, 0.907715f, 0.891602f, 0.877930f, 0.866211f, 0.855957f, 0.846680f, 0.005596f, 0.017654f, 0.029587f, 0.041840f, - 0.055115f, 0.067871f, 0.080566f, 0.093994f, 0.107361f, 0.120911f, 0.134766f, 0.149414f, 0.163452f, 0.177979f, 0.192261f, 0.206787f, - 0.221191f, 0.236816f, 0.250732f, 0.266113f, 0.281250f, 0.295898f, 0.311279f, 0.326904f, 0.342041f, 0.356201f, 0.371826f, 0.387451f, - 0.402344f, 0.417236f, 0.432373f, 0.447266f, 0.462891f, 0.477539f, 0.492432f, 0.506836f, 0.522949f, 0.536621f, 0.551758f, 0.566895f, - 0.582031f, 0.596191f, 0.610352f, 0.625488f, 0.640625f, 0.653320f, 0.668457f, 0.682617f, 0.696777f, 0.710449f, 0.724609f, 0.739258f, - 0.751465f, 0.765625f, 0.780273f, 0.792480f, 0.806152f, 0.820801f, 0.899902f, 0.885742f, 0.872070f, 0.861328f, 0.851562f, 0.842285f, - 0.005451f, 0.016479f, 0.028259f, 0.039856f, 0.051331f, 0.063416f, 0.075867f, 0.088196f, 0.100952f, 0.113770f, 0.126953f, 0.140747f, - 0.153564f, 0.167847f, 0.181519f, 0.195679f, 0.210083f, 0.223633f, 0.237427f, 0.252197f, 0.267334f, 0.281738f, 0.296143f, 0.311035f, - 0.325928f, 0.340332f, 0.355469f, 0.370361f, 0.385010f, 0.400635f, 0.415039f, 0.429688f, 0.444092f, 0.459717f, 0.474121f, 0.489258f, - 0.503906f, 0.519043f, 0.533203f, 0.548828f, 0.562012f, 0.577637f, 0.591797f, 0.606445f, 0.621582f, 0.635742f, 0.650391f, 0.664551f, - 0.678223f, 0.692871f, 0.706055f, 0.721191f, 0.733887f, 0.747559f, 0.762207f, 0.775879f, 0.791016f, 0.804199f, 0.892090f, 0.878906f, - 0.866699f, 0.855957f, 0.846191f, 0.837891f, 0.004963f, 0.015343f, 0.026169f, 0.037079f, 0.047943f, 0.059570f, 0.070801f, 0.083008f, - 0.095093f, 0.106750f, 0.119507f, 0.132080f, 0.145142f, 0.158569f, 0.171143f, 0.184692f, 0.198730f, 0.211792f, 0.225830f, 0.239380f, - 0.253662f, 0.267578f, 0.281738f, 0.295898f, 0.309814f, 0.324219f, 0.340088f, 0.353760f, 0.368164f, 0.383057f, 0.397705f, 0.412842f, - 0.426758f, 0.441406f, 0.456787f, 0.470947f, 0.485352f, 0.500000f, 0.515137f, 0.529785f, 0.543945f, 0.559082f, 0.572754f, 0.588379f, - 0.602539f, 0.616699f, 0.631348f, 0.645996f, 0.659180f, 0.674805f, 0.689453f, 0.703125f, 0.716797f, 0.729980f, 0.744629f, 0.758789f, - 0.772461f, 0.786621f, 0.883789f, 0.872070f, 0.860840f, 0.850586f, 0.841309f, 0.833008f, 0.004726f, 0.014549f, 0.024109f, 0.034668f, - 0.044708f, 0.055573f, 0.066467f, 0.077820f, 0.088928f, 0.100342f, 0.112000f, 0.124390f, 0.136230f, 0.148804f, 0.161621f, 0.173950f, - 0.186768f, 0.200439f, 0.213623f, 0.226074f, 0.239868f, 0.253418f, 0.267090f, 0.281250f, 0.295410f, 0.309570f, 0.323486f, 0.337891f, - 0.352295f, 0.365967f, 0.381104f, 0.394775f, 0.409180f, 0.423828f, 0.438477f, 0.452881f, 0.467773f, 0.481689f, 0.496582f, 0.511230f, - 0.525391f, 0.539551f, 0.554199f, 0.568848f, 0.583984f, 0.599121f, 0.612305f, 0.627441f, 0.641113f, 0.656250f, 0.669922f, 0.684570f, - 0.699219f, 0.713379f, 0.727539f, 0.741699f, 0.755859f, 0.771484f, 0.875488f, 0.865723f, 0.854492f, 0.845215f, 0.836426f, 0.828613f, - 0.004452f, 0.013359f, 0.022690f, 0.032745f, 0.042297f, 0.051910f, 0.061920f, 0.072693f, 0.083496f, 0.094177f, 0.105408f, 0.116760f, - 0.128174f, 0.140137f, 0.151855f, 0.164185f, 0.176758f, 0.189087f, 0.201660f, 0.214478f, 0.227173f, 0.240356f, 0.253906f, 0.267578f, - 0.280273f, 0.294922f, 0.307373f, 0.321045f, 0.336670f, 0.350098f, 0.363770f, 0.378174f, 0.392334f, 0.406006f, 0.420410f, 0.434082f, - 0.448975f, 0.463623f, 0.478271f, 0.492676f, 0.506836f, 0.520996f, 0.536133f, 0.550781f, 0.565430f, 0.580078f, 0.593750f, 0.608887f, - 0.623047f, 0.638184f, 0.651367f, 0.666016f, 0.681152f, 0.695312f, 0.709473f, 0.723145f, 0.738281f, 0.752930f, 0.867676f, 0.858398f, - 0.848633f, 0.839355f, 0.831055f, 0.823730f, 0.004143f, 0.012794f, 0.021713f, 0.030396f, 0.039551f, 0.048645f, 0.058563f, 0.068176f, - 0.078308f, 0.088928f, 0.098328f, 0.109924f, 0.120728f, 0.131592f, 0.142944f, 0.154175f, 0.165771f, 0.178223f, 0.190186f, 0.202881f, - 0.214844f, 0.227417f, 0.240845f, 0.253906f, 0.265869f, 0.279541f, 0.293213f, 0.305908f, 0.320068f, 0.333496f, 0.347168f, 0.361816f, - 0.375000f, 0.389160f, 0.403320f, 0.417236f, 0.431396f, 0.444824f, 0.459473f, 0.473633f, 0.488525f, 0.503418f, 0.517578f, 0.532227f, - 0.545410f, 0.560547f, 0.575684f, 0.590332f, 0.604004f, 0.618652f, 0.632812f, 0.647949f, 0.663086f, 0.676758f, 0.691895f, 0.706543f, - 0.721191f, 0.735840f, 0.859375f, 0.852539f, 0.842773f, 0.833496f, 0.824707f, 0.818848f, 0.003839f, 0.012062f, 0.020126f, 0.028366f, - 0.036774f, 0.045593f, 0.054718f, 0.063416f, 0.073120f, 0.082825f, 0.092957f, 0.102966f, 0.113464f, 0.123535f, 0.134277f, 0.145020f, - 0.155762f, 0.167847f, 0.179199f, 0.190796f, 0.202393f, 0.214844f, 0.227417f, 0.239868f, 0.252197f, 0.264648f, 0.277588f, 0.291016f, - 0.304199f, 0.317383f, 0.330811f, 0.343750f, 0.357422f, 0.371826f, 0.385254f, 0.399902f, 0.413574f, 0.427246f, 0.441162f, 0.455566f, - 0.469971f, 0.484375f, 0.498535f, 0.514160f, 0.527344f, 0.541992f, 0.556152f, 0.570312f, 0.585449f, 0.600098f, 0.614746f, 0.629883f, - 0.645508f, 0.658203f, 0.673340f, 0.688477f, 0.703125f, 0.718262f, 0.851074f, 0.844727f, 0.835938f, 0.827637f, 0.820312f, 0.812988f, - 0.003786f, 0.011147f, 0.018921f, 0.026550f, 0.034729f, 0.042664f, 0.051117f, 0.060028f, 0.068298f, 0.077454f, 0.086914f, 0.096130f, - 0.105835f, 0.115662f, 0.126343f, 0.136475f, 0.146606f, 0.157715f, 0.168457f, 0.180176f, 0.191528f, 0.202759f, 0.215088f, 0.226929f, - 0.239014f, 0.251221f, 0.263428f, 0.275391f, 0.289062f, 0.301514f, 0.314941f, 0.328369f, 0.341797f, 0.354736f, 0.367676f, 0.382324f, - 0.395264f, 0.409912f, 0.423340f, 0.437012f, 0.451660f, 0.465576f, 0.480469f, 0.494629f, 0.508301f, 0.522949f, 0.538086f, 0.551758f, - 0.567383f, 0.582031f, 0.596191f, 0.610840f, 0.625977f, 0.639648f, 0.655273f, 0.670410f, 0.685547f, 0.700684f, 0.842285f, 0.837402f, - 0.829590f, 0.821289f, 0.813965f, 0.808105f, 0.003504f, 0.010445f, 0.017609f, 0.025131f, 0.032349f, 0.040314f, 0.047485f, 0.055756f, - 0.064026f, 0.072571f, 0.080872f, 0.089661f, 0.099426f, 0.108459f, 0.118286f, 0.127930f, 0.137817f, 0.147583f, 0.158203f, 0.169189f, - 0.180908f, 0.191040f, 0.203003f, 0.214111f, 0.225708f, 0.237549f, 0.249023f, 0.261475f, 0.273926f, 0.286865f, 0.299316f, 0.311768f, - 0.325684f, 0.338623f, 0.351562f, 0.364746f, 0.378418f, 0.392578f, 0.405518f, 0.419678f, 0.433105f, 0.447998f, 0.461670f, 0.475830f, - 0.490479f, 0.503906f, 0.519531f, 0.533203f, 0.547852f, 0.562988f, 0.576660f, 0.591797f, 0.606445f, 0.622070f, 0.636719f, 0.652344f, - 0.666504f, 0.682617f, 0.833496f, 0.830078f, 0.822754f, 0.815918f, 0.808594f, 0.802734f, 0.003447f, 0.009941f, 0.016373f, 0.023300f, - 0.030228f, 0.037689f, 0.044128f, 0.052551f, 0.059845f, 0.068115f, 0.076538f, 0.083862f, 0.092896f, 0.101440f, 0.110596f, 0.119995f, - 0.129028f, 0.138916f, 0.148926f, 0.158936f, 0.169189f, 0.180176f, 0.190308f, 0.201416f, 0.212769f, 0.224365f, 0.235962f, 0.247192f, - 0.259033f, 0.271973f, 0.283936f, 0.296631f, 0.309570f, 0.321777f, 0.334961f, 0.348389f, 0.361572f, 0.374756f, 0.388184f, 0.401611f, - 0.415771f, 0.429443f, 0.443359f, 0.457520f, 0.471436f, 0.486084f, 0.500977f, 0.514648f, 0.528809f, 0.543457f, 0.558594f, 0.573242f, - 0.588867f, 0.603516f, 0.617676f, 0.633301f, 0.648926f, 0.664551f, 0.824219f, 0.823242f, 0.815918f, 0.809082f, 0.802246f, 0.796387f, - 0.003141f, 0.009407f, 0.015251f, 0.021851f, 0.028107f, 0.034882f, 0.041779f, 0.048340f, 0.056244f, 0.062988f, 0.071106f, 0.078796f, - 0.087036f, 0.094910f, 0.103149f, 0.112305f, 0.121460f, 0.130371f, 0.139404f, 0.149048f, 0.159180f, 0.169189f, 0.179565f, 0.189087f, - 0.200317f, 0.211548f, 0.222412f, 0.233765f, 0.245117f, 0.257324f, 0.269043f, 0.281006f, 0.293213f, 0.305664f, 0.318848f, 0.331055f, - 0.343750f, 0.358398f, 0.369873f, 0.384033f, 0.397217f, 0.411865f, 0.424805f, 0.438965f, 0.453125f, 0.467529f, 0.481689f, 0.495850f, - 0.510254f, 0.524414f, 0.539551f, 0.554688f, 0.569824f, 0.584961f, 0.599121f, 0.614258f, 0.629883f, 0.645020f, 0.815430f, 0.814453f, - 0.809570f, 0.802734f, 0.796875f, 0.791504f, 0.002838f, 0.008461f, 0.014236f, 0.020676f, 0.026749f, 0.032593f, 0.039032f, 0.045715f, - 0.052216f, 0.059479f, 0.066467f, 0.073608f, 0.080933f, 0.088623f, 0.096619f, 0.104919f, 0.113098f, 0.121521f, 0.130493f, 0.139526f, - 0.148560f, 0.158203f, 0.167969f, 0.177979f, 0.187988f, 0.198730f, 0.208862f, 0.220093f, 0.231323f, 0.242798f, 0.253906f, 0.265869f, - 0.278320f, 0.289551f, 0.302246f, 0.314941f, 0.327393f, 0.340088f, 0.353516f, 0.365967f, 0.379883f, 0.392822f, 0.406738f, 0.420898f, - 0.434814f, 0.447998f, 0.462891f, 0.477539f, 0.491455f, 0.506836f, 0.520996f, 0.536133f, 0.550781f, 0.565918f, 0.581055f, 0.596680f, - 0.611816f, 0.627441f, 0.806152f, 0.807617f, 0.801270f, 0.796387f, 0.790039f, 0.784668f, 0.002689f, 0.008102f, 0.013618f, 0.019058f, - 0.024719f, 0.030548f, 0.036560f, 0.042725f, 0.048615f, 0.054779f, 0.061615f, 0.068604f, 0.075012f, 0.082703f, 0.090271f, 0.097900f, - 0.105530f, 0.113586f, 0.121826f, 0.130371f, 0.139282f, 0.147705f, 0.157349f, 0.166504f, 0.176147f, 0.186401f, 0.196289f, 0.207520f, - 0.217651f, 0.228394f, 0.239868f, 0.251465f, 0.262451f, 0.274414f, 0.286377f, 0.298828f, 0.311035f, 0.323730f, 0.336670f, 0.349121f, - 0.362549f, 0.375244f, 0.389160f, 0.402344f, 0.417236f, 0.429932f, 0.443848f, 0.458984f, 0.472168f, 0.487793f, 0.501953f, 0.517578f, - 0.531738f, 0.546875f, 0.561523f, 0.576660f, 0.593262f, 0.608398f, 0.797852f, 0.798828f, 0.794922f, 0.789551f, 0.784668f, 0.779297f, - 0.002666f, 0.007462f, 0.012596f, 0.018066f, 0.023026f, 0.028412f, 0.033813f, 0.039398f, 0.045166f, 0.051239f, 0.057587f, 0.063721f, - 0.070312f, 0.077148f, 0.084167f, 0.090820f, 0.098267f, 0.105591f, 0.113159f, 0.121460f, 0.129761f, 0.138428f, 0.147217f, 0.156128f, - 0.165283f, 0.174438f, 0.183960f, 0.194092f, 0.204834f, 0.214844f, 0.225830f, 0.236816f, 0.247925f, 0.259033f, 0.270752f, 0.282227f, - 0.294678f, 0.306641f, 0.319336f, 0.332031f, 0.344482f, 0.357910f, 0.371094f, 0.384033f, 0.398682f, 0.412109f, 0.425781f, 0.440186f, - 0.454102f, 0.468018f, 0.482910f, 0.497314f, 0.512207f, 0.528320f, 0.542969f, 0.558594f, 0.573242f, 0.589355f, 0.787598f, 0.791016f, - 0.787109f, 0.781738f, 0.777344f, 0.772461f, 0.002569f, 0.007069f, 0.012199f, 0.016739f, 0.021393f, 0.026672f, 0.031189f, 0.037109f, - 0.042480f, 0.047729f, 0.053345f, 0.059387f, 0.065430f, 0.071838f, 0.078186f, 0.084167f, 0.091492f, 0.098816f, 0.105774f, 0.112976f, - 0.121155f, 0.129028f, 0.136963f, 0.145508f, 0.153687f, 0.163086f, 0.172363f, 0.181885f, 0.191406f, 0.201782f, 0.211670f, 0.222412f, - 0.233032f, 0.244263f, 0.255371f, 0.266846f, 0.278809f, 0.290527f, 0.302734f, 0.314697f, 0.327393f, 0.340820f, 0.353027f, 0.366455f, - 0.380127f, 0.393799f, 0.406006f, 0.421143f, 0.435059f, 0.449707f, 0.463623f, 0.479248f, 0.494141f, 0.509277f, 0.523438f, 0.539551f, - 0.555176f, 0.570801f, 0.778320f, 0.783203f, 0.779785f, 0.775879f, 0.770996f, 0.767090f, 0.002398f, 0.006733f, 0.010918f, 0.015495f, - 0.020203f, 0.024963f, 0.029663f, 0.034485f, 0.039246f, 0.044678f, 0.049896f, 0.055267f, 0.060486f, 0.066345f, 0.072693f, 0.078857f, - 0.085083f, 0.091370f, 0.097961f, 0.105530f, 0.112244f, 0.119629f, 0.127563f, 0.135376f, 0.143799f, 0.152100f, 0.160889f, 0.169922f, - 0.178833f, 0.188843f, 0.198608f, 0.208496f, 0.218628f, 0.229492f, 0.240479f, 0.251953f, 0.262695f, 0.274902f, 0.286377f, 0.298340f, - 0.310547f, 0.323242f, 0.335693f, 0.349365f, 0.362061f, 0.375000f, 0.388916f, 0.402832f, 0.416748f, 0.430420f, 0.445068f, 0.459473f, - 0.474854f, 0.489258f, 0.504883f, 0.519531f, 0.535645f, 0.551758f, 0.769043f, 0.774902f, 0.771973f, 0.768555f, 0.764160f, 0.759766f, - 0.002062f, 0.006191f, 0.010384f, 0.014786f, 0.018402f, 0.023270f, 0.027435f, 0.031891f, 0.036163f, 0.041199f, 0.045685f, 0.051208f, - 0.056244f, 0.061371f, 0.066772f, 0.072510f, 0.078369f, 0.084656f, 0.091125f, 0.097290f, 0.104309f, 0.111145f, 0.118164f, 0.126221f, - 0.133301f, 0.141724f, 0.149658f, 0.157837f, 0.167236f, 0.176025f, 0.185547f, 0.195190f, 0.205444f, 0.215332f, 0.225830f, 0.236084f, - 0.247314f, 0.259033f, 0.270020f, 0.281982f, 0.293701f, 0.305908f, 0.318848f, 0.331787f, 0.344482f, 0.357178f, 0.370361f, 0.384521f, - 0.397461f, 0.411621f, 0.426025f, 0.440674f, 0.455322f, 0.470703f, 0.485596f, 0.500977f, 0.517578f, 0.532227f, 0.759277f, 0.766602f, - 0.764160f, 0.761230f, 0.757324f, 0.753418f, 0.002064f, 0.005859f, 0.009613f, 0.013626f, 0.017456f, 0.021606f, 0.025574f, 0.029526f, - 0.034302f, 0.038422f, 0.042938f, 0.047485f, 0.052155f, 0.056763f, 0.061951f, 0.067139f, 0.072754f, 0.078308f, 0.084167f, 0.090149f, - 0.096191f, 0.102722f, 0.109558f, 0.116699f, 0.123901f, 0.131104f, 0.139160f, 0.146729f, 0.155273f, 0.163940f, 0.173096f, 0.182129f, - 0.192017f, 0.201172f, 0.211060f, 0.221558f, 0.232544f, 0.243530f, 0.254150f, 0.266113f, 0.277588f, 0.289307f, 0.301758f, 0.313965f, - 0.326904f, 0.338867f, 0.352051f, 0.366211f, 0.379150f, 0.393066f, 0.407471f, 0.421875f, 0.436768f, 0.450439f, 0.466553f, 0.481201f, - 0.497314f, 0.513184f, 0.749512f, 0.758301f, 0.756348f, 0.753906f, 0.750000f, 0.746582f, 0.001851f, 0.005405f, 0.009109f, 0.012589f, - 0.016129f, 0.020020f, 0.023926f, 0.027481f, 0.031738f, 0.035492f, 0.039734f, 0.044128f, 0.048065f, 0.052765f, 0.057373f, 0.061859f, - 0.066711f, 0.072388f, 0.077393f, 0.083130f, 0.088745f, 0.094727f, 0.101135f, 0.107666f, 0.114380f, 0.121704f, 0.128540f, 0.136108f, - 0.144043f, 0.151733f, 0.160522f, 0.169678f, 0.178589f, 0.187622f, 0.197998f, 0.207397f, 0.217285f, 0.227905f, 0.238892f, 0.250000f, - 0.261230f, 0.272461f, 0.284180f, 0.296387f, 0.308838f, 0.321533f, 0.334473f, 0.347656f, 0.361328f, 0.375000f, 0.388672f, 0.402588f, - 0.417969f, 0.432617f, 0.447021f, 0.461914f, 0.478516f, 0.493652f, 0.739258f, 0.749512f, 0.749023f, 0.745605f, 0.742188f, 0.739746f, - 0.001666f, 0.005405f, 0.008575f, 0.011696f, 0.015327f, 0.018646f, 0.022293f, 0.025650f, 0.029327f, 0.032776f, 0.036530f, 0.040619f, - 0.044128f, 0.048828f, 0.052887f, 0.057098f, 0.061829f, 0.066467f, 0.071350f, 0.076355f, 0.081909f, 0.087341f, 0.092896f, 0.099304f, - 0.105469f, 0.112000f, 0.118835f, 0.125977f, 0.133545f, 0.140991f, 0.148438f, 0.156982f, 0.165771f, 0.174805f, 0.183960f, 0.193115f, - 0.203369f, 0.212891f, 0.223389f, 0.234497f, 0.244751f, 0.256348f, 0.268066f, 0.279541f, 0.291260f, 0.303955f, 0.316406f, 0.329590f, - 0.342529f, 0.355957f, 0.369385f, 0.384766f, 0.398926f, 0.413330f, 0.428467f, 0.442383f, 0.458740f, 0.474609f, 0.728516f, 0.740723f, - 0.740234f, 0.738281f, 0.735352f, 0.732910f, 0.001534f, 0.004936f, 0.007980f, 0.011223f, 0.013893f, 0.017212f, 0.020294f, 0.023361f, - 0.026688f, 0.030182f, 0.033600f, 0.037537f, 0.040924f, 0.044495f, 0.048340f, 0.052155f, 0.056732f, 0.061035f, 0.065430f, 0.069824f, - 0.075073f, 0.080078f, 0.085571f, 0.091003f, 0.096863f, 0.103271f, 0.109009f, 0.115723f, 0.123230f, 0.129639f, 0.137207f, 0.145264f, - 0.153320f, 0.161499f, 0.170410f, 0.179688f, 0.189087f, 0.198364f, 0.208740f, 0.218750f, 0.229126f, 0.240356f, 0.251465f, 0.263184f, - 0.274902f, 0.286621f, 0.299072f, 0.311768f, 0.324463f, 0.337402f, 0.351074f, 0.364746f, 0.378662f, 0.394287f, 0.408936f, 0.423096f, - 0.439453f, 0.455322f, 0.716797f, 0.731934f, 0.732422f, 0.729980f, 0.728027f, 0.725586f, 0.001639f, 0.004337f, 0.007439f, 0.009888f, - 0.013092f, 0.015717f, 0.018921f, 0.021805f, 0.024612f, 0.027542f, 0.030762f, 0.034088f, 0.037598f, 0.041107f, 0.044189f, 0.047699f, - 0.051666f, 0.055664f, 0.059723f, 0.064148f, 0.068542f, 0.073425f, 0.078003f, 0.083435f, 0.088806f, 0.094360f, 0.100159f, 0.106079f, - 0.112915f, 0.119690f, 0.125977f, 0.133667f, 0.141357f, 0.149414f, 0.157349f, 0.166260f, 0.175049f, 0.184326f, 0.193970f, 0.203735f, - 0.214355f, 0.224609f, 0.235352f, 0.246460f, 0.257568f, 0.269287f, 0.281738f, 0.294189f, 0.305908f, 0.319824f, 0.332520f, 0.346680f, - 0.360596f, 0.375244f, 0.389648f, 0.404297f, 0.419189f, 0.435791f, 0.707520f, 0.723145f, 0.723633f, 0.722656f, 0.720703f, 0.717773f, - 0.001469f, 0.004345f, 0.006844f, 0.009483f, 0.012428f, 0.014679f, 0.017166f, 0.019989f, 0.022949f, 0.025574f, 0.028320f, 0.031525f, - 0.034088f, 0.037323f, 0.040710f, 0.043762f, 0.047119f, 0.050873f, 0.054352f, 0.058441f, 0.062561f, 0.066711f, 0.071167f, 0.075989f, - 0.080627f, 0.086426f, 0.091553f, 0.097473f, 0.103210f, 0.109680f, 0.115723f, 0.122986f, 0.129761f, 0.137451f, 0.145142f, 0.153198f, - 0.161621f, 0.170654f, 0.179688f, 0.189087f, 0.198730f, 0.209229f, 0.219604f, 0.230225f, 0.241211f, 0.252197f, 0.264404f, 0.276367f, - 0.288574f, 0.301270f, 0.314453f, 0.328125f, 0.341309f, 0.354980f, 0.370117f, 0.385498f, 0.399902f, 0.415771f, 0.696289f, 0.714355f, - 0.715820f, 0.714355f, 0.712891f, 0.710449f, 0.001227f, 0.003862f, 0.006245f, 0.008644f, 0.010796f, 0.013344f, 0.015823f, 0.018448f, - 0.020645f, 0.023331f, 0.025681f, 0.028305f, 0.030975f, 0.033722f, 0.036987f, 0.039673f, 0.043121f, 0.046112f, 0.049774f, 0.053406f, - 0.056854f, 0.060760f, 0.064697f, 0.069397f, 0.073364f, 0.078369f, 0.083313f, 0.088257f, 0.094116f, 0.100098f, 0.105957f, 0.112122f, - 0.118774f, 0.125854f, 0.133057f, 0.140869f, 0.148682f, 0.157227f, 0.165405f, 0.174927f, 0.184082f, 0.193726f, 0.204102f, 0.214111f, - 0.225098f, 0.236328f, 0.247314f, 0.259277f, 0.270752f, 0.282959f, 0.296143f, 0.309082f, 0.322510f, 0.336426f, 0.350830f, 0.365479f, - 0.380371f, 0.396240f, 0.684570f, 0.705078f, 0.706543f, 0.706543f, 0.705078f, 0.703125f, 0.001069f, 0.003525f, 0.006062f, 0.008286f, - 0.010178f, 0.012589f, 0.014542f, 0.017075f, 0.019241f, 0.021179f, 0.023499f, 0.026047f, 0.028137f, 0.030762f, 0.033417f, 0.035889f, - 0.038757f, 0.041779f, 0.044586f, 0.048309f, 0.051056f, 0.054810f, 0.058777f, 0.062347f, 0.066528f, 0.070740f, 0.075256f, 0.080261f, - 0.085205f, 0.090393f, 0.095886f, 0.102478f, 0.108154f, 0.114441f, 0.121399f, 0.128784f, 0.135742f, 0.144165f, 0.151978f, 0.160767f, - 0.169434f, 0.178833f, 0.188721f, 0.198608f, 0.208984f, 0.220215f, 0.230957f, 0.241943f, 0.253906f, 0.265869f, 0.278564f, 0.291260f, - 0.304443f, 0.318359f, 0.332031f, 0.346680f, 0.361572f, 0.377197f, 0.673828f, 0.695801f, 0.698242f, 0.697754f, 0.697266f, 0.695312f, - 0.001211f, 0.003250f, 0.005112f, 0.007195f, 0.009651f, 0.011414f, 0.013641f, 0.015205f, 0.017334f, 0.019608f, 0.021164f, 0.023712f, - 0.025726f, 0.027863f, 0.029984f, 0.032410f, 0.035034f, 0.037689f, 0.040466f, 0.042938f, 0.046478f, 0.049591f, 0.052856f, 0.056274f, - 0.060089f, 0.063721f, 0.068115f, 0.072266f, 0.076904f, 0.081970f, 0.087036f, 0.092285f, 0.097961f, 0.104309f, 0.110535f, 0.117126f, - 0.124084f, 0.131226f, 0.139038f, 0.147095f, 0.155884f, 0.164429f, 0.174194f, 0.183228f, 0.192749f, 0.203491f, 0.214233f, 0.224976f, - 0.236206f, 0.247925f, 0.260498f, 0.272705f, 0.285889f, 0.299805f, 0.312988f, 0.327637f, 0.342529f, 0.356934f, 0.662598f, 0.686523f, - 0.689453f, 0.689453f, 0.688965f, 0.687500f, 0.001138f, 0.003206f, 0.005180f, 0.007309f, 0.008377f, 0.010635f, 0.012352f, 0.014153f, - 0.015640f, 0.017487f, 0.019272f, 0.021164f, 0.023026f, 0.025314f, 0.027222f, 0.029282f, 0.031433f, 0.033600f, 0.036041f, 0.038788f, - 0.041626f, 0.044281f, 0.047455f, 0.050507f, 0.054047f, 0.057556f, 0.061188f, 0.065063f, 0.069214f, 0.073486f, 0.078369f, 0.083191f, - 0.088196f, 0.093811f, 0.099609f, 0.106018f, 0.112305f, 0.119385f, 0.126343f, 0.134033f, 0.142090f, 0.150635f, 0.159546f, 0.168579f, - 0.177734f, 0.187500f, 0.198242f, 0.208618f, 0.219604f, 0.231812f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.308350f, - 0.322998f, 0.338379f, 0.651367f, 0.676758f, 0.681152f, 0.680664f, 0.680664f, 0.679688f, 0.000977f, 0.002806f, 0.004559f, 0.006176f, - 0.008034f, 0.009476f, 0.011131f, 0.012741f, 0.014275f, 0.015732f, 0.017334f, 0.019104f, 0.020767f, 0.022293f, 0.024323f, 0.026016f, - 0.028198f, 0.030197f, 0.032257f, 0.034515f, 0.036957f, 0.039856f, 0.042084f, 0.044891f, 0.047791f, 0.051147f, 0.054535f, 0.058197f, - 0.061768f, 0.065674f, 0.069946f, 0.074585f, 0.079102f, 0.084412f, 0.089600f, 0.095398f, 0.101196f, 0.107544f, 0.114258f, 0.121094f, - 0.128662f, 0.137085f, 0.145020f, 0.153687f, 0.162720f, 0.172607f, 0.182129f, 0.192749f, 0.203125f, 0.214111f, 0.226074f, 0.237671f, - 0.249878f, 0.262207f, 0.275635f, 0.289551f, 0.304199f, 0.318848f, 0.639160f, 0.666992f, 0.671387f, 0.671875f, 0.671875f, 0.671387f, - 0.000968f, 0.002722f, 0.004318f, 0.005634f, 0.007393f, 0.008667f, 0.010139f, 0.011383f, 0.012856f, 0.014389f, 0.015427f, 0.016907f, - 0.018387f, 0.020081f, 0.021683f, 0.023315f, 0.025085f, 0.026840f, 0.028641f, 0.030624f, 0.032837f, 0.035065f, 0.037445f, 0.039948f, - 0.042542f, 0.045410f, 0.048340f, 0.051514f, 0.054840f, 0.058502f, 0.062408f, 0.066223f, 0.070679f, 0.075134f, 0.080078f, 0.085388f, - 0.090515f, 0.096436f, 0.102722f, 0.109314f, 0.116333f, 0.123352f, 0.131592f, 0.139526f, 0.147949f, 0.156860f, 0.166748f, 0.176758f, - 0.187134f, 0.197632f, 0.209106f, 0.220337f, 0.232666f, 0.244751f, 0.257568f, 0.270996f, 0.284912f, 0.300537f, 0.627441f, 0.657227f, - 0.662598f, 0.663574f, 0.663574f, 0.663086f, 0.001081f, 0.002466f, 0.003862f, 0.005348f, 0.006447f, 0.007927f, 0.009018f, 0.010490f, - 0.011436f, 0.012627f, 0.013916f, 0.015015f, 0.016449f, 0.017563f, 0.019165f, 0.020706f, 0.021973f, 0.023834f, 0.025467f, 0.027130f, - 0.029175f, 0.030991f, 0.033081f, 0.035156f, 0.037384f, 0.040039f, 0.042603f, 0.045502f, 0.048492f, 0.051636f, 0.054962f, 0.058716f, - 0.062439f, 0.066467f, 0.071045f, 0.075378f, 0.080811f, 0.085815f, 0.091492f, 0.098022f, 0.103943f, 0.111023f, 0.118164f, 0.125732f, - 0.133911f, 0.142456f, 0.151367f, 0.161011f, 0.170898f, 0.181396f, 0.192139f, 0.203247f, 0.214844f, 0.227173f, 0.239380f, 0.252441f, - 0.266602f, 0.281006f, 0.616699f, 0.647949f, 0.653320f, 0.655273f, 0.654785f, 0.655273f, 0.000735f, 0.002331f, 0.003601f, 0.005005f, - 0.005825f, 0.007061f, 0.008049f, 0.009148f, 0.010315f, 0.011131f, 0.012230f, 0.013367f, 0.014328f, 0.015541f, 0.016968f, 0.018234f, - 0.019257f, 0.020798f, 0.022202f, 0.023666f, 0.025452f, 0.027115f, 0.028885f, 0.030792f, 0.032715f, 0.035034f, 0.037323f, 0.039825f, - 0.042419f, 0.045258f, 0.048157f, 0.051422f, 0.054810f, 0.058411f, 0.062378f, 0.066528f, 0.071106f, 0.076233f, 0.081116f, 0.086853f, - 0.092407f, 0.098938f, 0.105469f, 0.112854f, 0.120361f, 0.128418f, 0.136841f, 0.145752f, 0.155273f, 0.165283f, 0.175537f, 0.186646f, - 0.197510f, 0.209473f, 0.221558f, 0.234619f, 0.248047f, 0.261719f, 0.603516f, 0.636719f, 0.644531f, 0.645020f, 0.645508f, 0.646484f, - 0.000837f, 0.002073f, 0.003357f, 0.004292f, 0.005409f, 0.006271f, 0.007271f, 0.007973f, 0.008873f, 0.009956f, 0.010811f, 0.012032f, - 0.012848f, 0.013664f, 0.014870f, 0.015839f, 0.017090f, 0.018280f, 0.019333f, 0.020691f, 0.022186f, 0.023453f, 0.025223f, 0.026779f, - 0.028595f, 0.030441f, 0.032410f, 0.034729f, 0.036743f, 0.039307f, 0.042023f, 0.044434f, 0.047791f, 0.050781f, 0.054413f, 0.058075f, - 0.061951f, 0.066711f, 0.071106f, 0.076355f, 0.081848f, 0.087341f, 0.093872f, 0.099854f, 0.107483f, 0.114441f, 0.122925f, 0.131104f, - 0.140381f, 0.149414f, 0.159180f, 0.170166f, 0.181152f, 0.192139f, 0.204468f, 0.216553f, 0.230103f, 0.244507f, 0.592773f, 0.626953f, - 0.635254f, 0.637207f, 0.636719f, 0.637695f, 0.000524f, 0.001863f, 0.003014f, 0.003777f, 0.004852f, 0.005516f, 0.006428f, 0.007111f, - 0.008095f, 0.008888f, 0.009476f, 0.010345f, 0.011063f, 0.012016f, 0.012810f, 0.013786f, 0.014648f, 0.015717f, 0.016891f, 0.017929f, - 0.019150f, 0.020401f, 0.021606f, 0.023193f, 0.024597f, 0.026276f, 0.027939f, 0.029770f, 0.031738f, 0.033936f, 0.036194f, 0.038574f, - 0.041107f, 0.043945f, 0.047180f, 0.050385f, 0.054291f, 0.057770f, 0.061981f, 0.066345f, 0.071167f, 0.076355f, 0.082153f, 0.088074f, - 0.094666f, 0.101685f, 0.109131f, 0.117249f, 0.125610f, 0.134399f, 0.143921f, 0.154175f, 0.164795f, 0.175659f, 0.187256f, 0.199341f, - 0.211670f, 0.225464f, 0.580078f, 0.617676f, 0.625000f, 0.627930f, 0.628906f, 0.628906f, 0.000657f, 0.001829f, 0.002909f, 0.003525f, - 0.004295f, 0.005051f, 0.005592f, 0.006123f, 0.006920f, 0.007553f, 0.008339f, 0.008888f, 0.009689f, 0.010262f, 0.011017f, 0.011848f, - 0.012634f, 0.013489f, 0.014572f, 0.015427f, 0.016449f, 0.017426f, 0.018539f, 0.019852f, 0.021133f, 0.022507f, 0.023834f, 0.025375f, - 0.027084f, 0.028976f, 0.030792f, 0.032959f, 0.035400f, 0.037720f, 0.040405f, 0.043243f, 0.046356f, 0.049530f, 0.053314f, 0.057190f, - 0.061554f, 0.066223f, 0.071472f, 0.076782f, 0.082825f, 0.089417f, 0.096191f, 0.103210f, 0.111633f, 0.119934f, 0.128662f, 0.138550f, - 0.148315f, 0.158813f, 0.170288f, 0.182373f, 0.194458f, 0.207642f, 0.567383f, 0.606445f, 0.615234f, 0.619141f, 0.620117f, 0.620117f, - 0.000584f, 0.001548f, 0.002333f, 0.003086f, 0.003660f, 0.004303f, 0.005020f, 0.005543f, 0.006042f, 0.006538f, 0.007118f, 0.007641f, - 0.008301f, 0.008919f, 0.009499f, 0.010147f, 0.010918f, 0.011414f, 0.012222f, 0.013084f, 0.013901f, 0.014954f, 0.015671f, 0.016724f, - 0.017914f, 0.019012f, 0.020325f, 0.021698f, 0.022949f, 0.024445f, 0.026215f, 0.027954f, 0.029755f, 0.032043f, 0.034210f, 0.036591f, - 0.039215f, 0.042297f, 0.045441f, 0.048676f, 0.052612f, 0.056580f, 0.061432f, 0.066040f, 0.071350f, 0.077332f, 0.083496f, 0.090393f, - 0.097717f, 0.105835f, 0.114380f, 0.123413f, 0.133301f, 0.143066f, 0.153931f, 0.165039f, 0.177124f, 0.190308f, 0.555176f, 0.597656f, - 0.604980f, 0.609375f, 0.609863f, 0.611328f, 0.000438f, 0.001456f, 0.001925f, 0.002811f, 0.003246f, 0.003731f, 0.004108f, 0.004669f, - 0.005344f, 0.005535f, 0.005913f, 0.006641f, 0.007038f, 0.007473f, 0.008049f, 0.008675f, 0.009361f, 0.009689f, 0.010513f, 0.011032f, - 0.011894f, 0.012695f, 0.013390f, 0.014183f, 0.015114f, 0.016037f, 0.016998f, 0.018280f, 0.019272f, 0.020645f, 0.022003f, 0.023361f, - 0.024796f, 0.026779f, 0.028656f, 0.030685f, 0.032928f, 0.035370f, 0.038147f, 0.040955f, 0.044403f, 0.047821f, 0.052032f, 0.056183f, - 0.060974f, 0.066162f, 0.071777f, 0.078125f, 0.084656f, 0.092102f, 0.100159f, 0.109009f, 0.117981f, 0.127563f, 0.138306f, 0.148804f, - 0.160645f, 0.173218f, 0.542969f, 0.586914f, 0.594727f, 0.599609f, 0.601074f, 0.601074f, 0.000520f, 0.001104f, 0.001921f, 0.002256f, - 0.002886f, 0.003389f, 0.003689f, 0.004063f, 0.004440f, 0.004829f, 0.005230f, 0.005466f, 0.005966f, 0.006332f, 0.006786f, 0.007347f, - 0.007835f, 0.008232f, 0.008812f, 0.009216f, 0.009865f, 0.010490f, 0.011124f, 0.011803f, 0.012573f, 0.013390f, 0.014275f, 0.015121f, - 0.016144f, 0.016953f, 0.018234f, 0.019257f, 0.020782f, 0.022064f, 0.023743f, 0.025360f, 0.027176f, 0.029327f, 0.031616f, 0.034058f, - 0.036957f, 0.039917f, 0.043182f, 0.047272f, 0.051025f, 0.055695f, 0.060913f, 0.066345f, 0.072693f, 0.079285f, 0.086548f, 0.094543f, - 0.103271f, 0.112793f, 0.122864f, 0.132812f, 0.144531f, 0.156616f, 0.530273f, 0.576660f, 0.585449f, 0.590332f, 0.592285f, 0.593262f, - 0.000366f, 0.001040f, 0.001583f, 0.002129f, 0.002522f, 0.002792f, 0.003012f, 0.003420f, 0.003630f, 0.003967f, 0.004246f, 0.004623f, - 0.005039f, 0.005253f, 0.005627f, 0.006096f, 0.006447f, 0.006939f, 0.007179f, 0.007710f, 0.008324f, 0.008698f, 0.009247f, 0.009796f, - 0.010414f, 0.011063f, 0.011627f, 0.012543f, 0.013191f, 0.014099f, 0.014938f, 0.015930f, 0.016983f, 0.018219f, 0.019440f, 0.020813f, - 0.022324f, 0.024002f, 0.025818f, 0.027969f, 0.030289f, 0.032898f, 0.035583f, 0.038727f, 0.042450f, 0.046234f, 0.050781f, 0.055695f, - 0.061157f, 0.067383f, 0.074158f, 0.081360f, 0.089478f, 0.098267f, 0.107788f, 0.117737f, 0.129028f, 0.140503f, 0.517578f, 0.566406f, - 0.575195f, 0.581055f, 0.582520f, 0.584473f, 0.000482f, 0.001008f, 0.001481f, 0.001818f, 0.002001f, 0.002296f, 0.002569f, 0.002781f, - 0.002998f, 0.003319f, 0.003620f, 0.003828f, 0.004082f, 0.004364f, 0.004658f, 0.004978f, 0.005257f, 0.005665f, 0.005993f, 0.006340f, - 0.006725f, 0.007160f, 0.007576f, 0.008095f, 0.008522f, 0.008980f, 0.009621f, 0.010170f, 0.010765f, 0.011543f, 0.012161f, 0.013023f, - 0.013840f, 0.014801f, 0.015869f, 0.016861f, 0.018127f, 0.019379f, 0.020859f, 0.022583f, 0.024261f, 0.026596f, 0.028839f, 0.031555f, - 0.034271f, 0.037628f, 0.041504f, 0.045837f, 0.050598f, 0.056000f, 0.062134f, 0.068726f, 0.076172f, 0.084656f, 0.093567f, 0.103088f, - 0.113586f, 0.125000f, 0.504883f, 0.554688f, 0.565918f, 0.570801f, 0.573242f, 0.574219f, 0.000400f, 0.000803f, 0.001046f, 0.001427f, - 0.001657f, 0.001952f, 0.002033f, 0.002337f, 0.002453f, 0.002678f, 0.002871f, 0.003120f, 0.003286f, 0.003605f, 0.003817f, 0.004036f, - 0.004299f, 0.004604f, 0.004848f, 0.005142f, 0.005428f, 0.005871f, 0.006107f, 0.006584f, 0.006908f, 0.007332f, 0.007736f, 0.008186f, - 0.008820f, 0.009308f, 0.009964f, 0.010422f, 0.011200f, 0.011993f, 0.012726f, 0.013512f, 0.014511f, 0.015610f, 0.016724f, 0.017914f, - 0.019440f, 0.021057f, 0.022827f, 0.024933f, 0.027466f, 0.030197f, 0.033295f, 0.036896f, 0.041077f, 0.045776f, 0.050995f, 0.056976f, - 0.063721f, 0.071167f, 0.079773f, 0.089172f, 0.098633f, 0.109314f, 0.491699f, 0.543457f, 0.555176f, 0.561035f, 0.563477f, 0.565430f, - 0.000279f, 0.000821f, 0.000974f, 0.001161f, 0.001382f, 0.001583f, 0.001670f, 0.001934f, 0.002064f, 0.002153f, 0.002306f, 0.002544f, - 0.002670f, 0.002909f, 0.003052f, 0.003288f, 0.003429f, 0.003624f, 0.003893f, 0.004082f, 0.004406f, 0.004635f, 0.004925f, 0.005196f, - 0.005444f, 0.005764f, 0.006134f, 0.006546f, 0.006947f, 0.007343f, 0.007858f, 0.008270f, 0.008858f, 0.009346f, 0.010010f, 0.010757f, - 0.011475f, 0.012260f, 0.013206f, 0.014214f, 0.015236f, 0.016479f, 0.017975f, 0.019623f, 0.021515f, 0.023590f, 0.026062f, 0.028976f, - 0.032471f, 0.036224f, 0.040833f, 0.046082f, 0.052094f, 0.059052f, 0.066650f, 0.075684f, 0.084778f, 0.094971f, 0.479492f, 0.532715f, - 0.545898f, 0.551270f, 0.553711f, 0.555664f, 0.000253f, 0.000612f, 0.000835f, 0.000998f, 0.001111f, 0.001228f, 0.001334f, 0.001452f, - 0.001619f, 0.001757f, 0.001837f, 0.001920f, 0.002140f, 0.002321f, 0.002453f, 0.002544f, 0.002670f, 0.002790f, 0.003086f, 0.003260f, - 0.003422f, 0.003620f, 0.003893f, 0.004101f, 0.004326f, 0.004528f, 0.004761f, 0.005051f, 0.005444f, 0.005756f, 0.006065f, 0.006435f, - 0.006882f, 0.007378f, 0.007763f, 0.008286f, 0.008865f, 0.009506f, 0.010162f, 0.011024f, 0.011826f, 0.012917f, 0.013916f, 0.015175f, - 0.016602f, 0.018204f, 0.020035f, 0.022293f, 0.024948f, 0.028076f, 0.031921f, 0.036377f, 0.041565f, 0.047577f, 0.054535f, 0.062622f, - 0.071777f, 0.081787f, 0.465576f, 0.522461f, 0.535645f, 0.541992f, 0.544922f, 0.546875f, 0.000155f, 0.000398f, 0.000680f, 0.000828f, - 0.000907f, 0.000989f, 0.001113f, 0.001081f, 0.001253f, 0.001350f, 0.001453f, 0.001573f, 0.001661f, 0.001777f, 0.001829f, 0.001978f, - 0.002062f, 0.002216f, 0.002346f, 0.002470f, 0.002644f, 0.002804f, 0.002930f, 0.003134f, 0.003265f, 0.003485f, 0.003674f, 0.003866f, - 0.004154f, 0.004333f, 0.004707f, 0.004910f, 0.005180f, 0.005581f, 0.005875f, 0.006283f, 0.006729f, 0.007164f, 0.007713f, 0.008270f, - 0.008934f, 0.009727f, 0.010513f, 0.011482f, 0.012520f, 0.013710f, 0.015152f, 0.016815f, 0.018799f, 0.021118f, 0.024048f, 0.027756f, - 0.032104f, 0.037201f, 0.043518f, 0.050903f, 0.059418f, 0.068420f, 0.453125f, 0.511719f, 0.525391f, 0.530762f, 0.535156f, 0.536621f, - 0.000303f, 0.000337f, 0.000498f, 0.000560f, 0.000603f, 0.000721f, 0.000782f, 0.000845f, 0.000880f, 0.000988f, 0.001119f, 0.001184f, - 0.001258f, 0.001377f, 0.001420f, 0.001446f, 0.001590f, 0.001666f, 0.001754f, 0.001889f, 0.001980f, 0.002073f, 0.002216f, 0.002308f, - 0.002447f, 0.002562f, 0.002758f, 0.002899f, 0.003084f, 0.003328f, 0.003506f, 0.003641f, 0.003922f, 0.004147f, 0.004391f, 0.004665f, - 0.004959f, 0.005322f, 0.005695f, 0.006119f, 0.006588f, 0.007072f, 0.007790f, 0.008392f, 0.009178f, 0.010056f, 0.011124f, 0.012383f, - 0.013832f, 0.015587f, 0.017685f, 0.020309f, 0.023926f, 0.028076f, 0.033447f, 0.039978f, 0.047638f, 0.056335f, 0.440186f, 0.500000f, - 0.514160f, 0.520996f, 0.524414f, 0.526855f, 0.000132f, 0.000296f, 0.000368f, 0.000444f, 0.000501f, 0.000519f, 0.000631f, 0.000580f, - 0.000675f, 0.000735f, 0.000820f, 0.000840f, 0.000882f, 0.000946f, 0.001029f, 0.001070f, 0.001164f, 0.001221f, 0.001286f, 0.001317f, - 0.001416f, 0.001494f, 0.001607f, 0.001681f, 0.001763f, 0.001863f, 0.001978f, 0.002069f, 0.002169f, 0.002348f, 0.002451f, 0.002661f, - 0.002754f, 0.002943f, 0.003130f, 0.003323f, 0.003553f, 0.003813f, 0.004124f, 0.004364f, 0.004669f, 0.005062f, 0.005493f, 0.005985f, - 0.006546f, 0.007172f, 0.007950f, 0.008850f, 0.009857f, 0.011116f, 0.012695f, 0.014603f, 0.016983f, 0.020157f, 0.024490f, 0.029968f, - 0.036957f, 0.045166f, 0.426025f, 0.488770f, 0.503906f, 0.511719f, 0.515137f, 0.517578f, 0.000063f, 0.000160f, 0.000267f, 0.000282f, - 0.000339f, 0.000417f, 0.000377f, 0.000433f, 0.000472f, 0.000570f, 0.000563f, 0.000578f, 0.000599f, 0.000663f, 0.000681f, 0.000759f, - 0.000760f, 0.000845f, 0.000910f, 0.000941f, 0.000997f, 0.001057f, 0.001110f, 0.001169f, 0.001238f, 0.001288f, 0.001381f, 0.001441f, - 0.001514f, 0.001655f, 0.001693f, 0.001815f, 0.001910f, 0.002028f, 0.002153f, 0.002308f, 0.002441f, 0.002607f, 0.002783f, 0.002962f, - 0.003214f, 0.003458f, 0.003744f, 0.004051f, 0.004444f, 0.004883f, 0.005402f, 0.006031f, 0.006699f, 0.007610f, 0.008766f, 0.009933f, - 0.011688f, 0.013931f, 0.017075f, 0.021454f, 0.027313f, 0.035004f, 0.414307f, 0.478271f, 0.493652f, 0.501465f, 0.505859f, 0.508301f, - 0.000120f, 0.000194f, 0.000194f, 0.000205f, 0.000245f, 0.000246f, 0.000251f, 0.000301f, 0.000322f, 0.000332f, 0.000343f, 0.000413f, - 0.000397f, 0.000448f, 0.000481f, 0.000494f, 0.000545f, 0.000556f, 0.000582f, 0.000601f, 0.000653f, 0.000676f, 0.000726f, 0.000767f, - 0.000821f, 0.000840f, 0.000919f, 0.000952f, 0.001011f, 0.001054f, 0.001116f, 0.001186f, 0.001263f, 0.001337f, 0.001418f, 0.001482f, - 0.001607f, 0.001685f, 0.001842f, 0.001965f, 0.002090f, 0.002235f, 0.002420f, 0.002613f, 0.002851f, 0.003159f, 0.003492f, 0.003887f, - 0.004345f, 0.004906f, 0.005600f, 0.006474f, 0.007645f, 0.009186f, 0.011230f, 0.014305f, 0.019135f, 0.025848f, 0.400635f, 0.466797f, - 0.483398f, 0.490967f, 0.495117f, 0.498047f, 0.000030f, 0.000140f, 0.000121f, 0.000114f, 0.000147f, 0.000178f, 0.000159f, 0.000195f, - 0.000199f, 0.000204f, 0.000216f, 0.000223f, 0.000255f, 0.000271f, 0.000288f, 0.000302f, 0.000314f, 0.000346f, 0.000357f, 0.000395f, - 0.000397f, 0.000408f, 0.000436f, 0.000470f, 0.000501f, 0.000542f, 0.000547f, 0.000566f, 0.000612f, 0.000641f, 0.000692f, 0.000722f, - 0.000767f, 0.000798f, 0.000861f, 0.000898f, 0.000963f, 0.001030f, 0.001107f, 0.001164f, 0.001255f, 0.001361f, 0.001464f, 0.001591f, - 0.001719f, 0.001871f, 0.002111f, 0.002312f, 0.002617f, 0.002964f, 0.003368f, 0.003902f, 0.004654f, 0.005653f, 0.006958f, 0.008888f, - 0.012161f, 0.017822f, 0.388672f, 0.456543f, 0.473389f, 0.481201f, 0.486328f, 0.489014f, 0.000102f, 0.000076f, 0.000076f, 0.000075f, - 0.000095f, 0.000092f, 0.000109f, 0.000111f, 0.000112f, 0.000113f, 0.000126f, 0.000147f, 0.000135f, 0.000144f, 0.000165f, 0.000161f, - 0.000179f, 0.000192f, 0.000198f, 0.000202f, 0.000224f, 0.000232f, 0.000248f, 0.000259f, 0.000278f, 0.000295f, 0.000308f, 0.000320f, - 0.000340f, 0.000353f, 0.000379f, 0.000402f, 0.000423f, 0.000440f, 0.000472f, 0.000503f, 0.000526f, 0.000564f, 0.000610f, 0.000644f, - 0.000690f, 0.000741f, 0.000810f, 0.000862f, 0.000946f, 0.001024f, 0.001121f, 0.001247f, 0.001407f, 0.001603f, 0.001822f, 0.002144f, - 0.002539f, 0.003098f, 0.003901f, 0.005096f, 0.006931f, 0.011024f, 0.375244f, 0.444092f, 0.462158f, 0.470215f, 0.475586f, 0.478760f, - 0.000085f, 0.000061f, 0.000052f, 0.000047f, 0.000049f, 0.000046f, 0.000047f, 0.000050f, 0.000055f, 0.000069f, 0.000060f, 0.000062f, - 0.000077f, 0.000066f, 0.000069f, 0.000075f, 0.000084f, 0.000093f, 0.000093f, 0.000098f, 0.000102f, 0.000108f, 0.000111f, 0.000121f, - 0.000129f, 0.000136f, 0.000142f, 0.000154f, 0.000162f, 0.000172f, 0.000182f, 0.000187f, 0.000197f, 0.000209f, 0.000225f, 0.000231f, - 0.000246f, 0.000262f, 0.000290f, 0.000306f, 0.000321f, 0.000349f, 0.000380f, 0.000402f, 0.000437f, 0.000480f, 0.000525f, 0.000579f, - 0.000649f, 0.000735f, 0.000842f, 0.000984f, 0.001173f, 0.001451f, 0.001855f, 0.002485f, 0.003542f, 0.005753f, 0.362305f, 0.434326f, - 0.451904f, 0.460693f, 0.465576f, 0.468506f, 0.000064f, 0.000044f, 0.000036f, 0.000032f, 0.000029f, 0.000027f, 0.000025f, 0.000024f, - 0.000022f, 0.000023f, 0.000021f, 0.000027f, 0.000023f, 0.000022f, 0.000028f, 0.000031f, 0.000030f, 0.000034f, 0.000036f, 0.000038f, - 0.000040f, 0.000045f, 0.000048f, 0.000042f, 0.000047f, 0.000053f, 0.000055f, 0.000054f, 0.000060f, 0.000062f, 0.000065f, 0.000072f, - 0.000078f, 0.000075f, 0.000079f, 0.000087f, 0.000093f, 0.000098f, 0.000106f, 0.000113f, 0.000121f, 0.000126f, 0.000136f, 0.000150f, - 0.000159f, 0.000173f, 0.000190f, 0.000209f, 0.000235f, 0.000265f, 0.000302f, 0.000343f, 0.000416f, 0.000515f, 0.000665f, 0.000917f, - 0.001396f, 0.002401f, 0.349854f, 0.421875f, 0.440918f, 0.449951f, 0.455811f, 0.458008f, 0.000030f, 0.000020f, 0.000016f, 0.000014f, - 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, - 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000007f, 0.000008f, 0.000008f, 0.000009f, 0.000011f, 0.000011f, 0.000013f, - 0.000013f, 0.000012f, 0.000013f, 0.000014f, 0.000016f, 0.000018f, 0.000018f, 0.000019f, 0.000021f, 0.000021f, 0.000023f, 0.000027f, - 0.000025f, 0.000028f, 0.000031f, 0.000032f, 0.000033f, 0.000038f, 0.000043f, 0.000046f, 0.000050f, 0.000055f, 0.000062f, 0.000074f, - 0.000088f, 0.000106f, 0.000138f, 0.000191f, 0.000312f, 0.000653f, 0.337402f, 0.410645f, 0.431152f, 0.438965f, 0.445068f, 0.448975f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000006f, 0.000010f, 0.000026f, 0.324219f, 0.399902f, - 0.419922f, 0.429688f, 0.435059f, 0.438965f, - }, - { - 0.010521f, 0.032043f, 0.054443f, 0.076843f, 0.098572f, 0.121216f, 0.142700f, 0.164062f, 0.185913f, 0.207275f, 0.229004f, 0.249268f, - 0.270508f, 0.290527f, 0.311035f, 0.331055f, 0.350586f, 0.370361f, 0.389648f, 0.408936f, 0.428223f, 0.446533f, 0.465088f, 0.482666f, - 0.500977f, 0.519043f, 0.536133f, 0.553223f, 0.570801f, 0.587891f, 0.604980f, 0.621582f, 0.637207f, 0.653320f, 0.668945f, 0.685547f, - 0.700684f, 0.716309f, 0.730957f, 0.745605f, 0.760254f, 0.774902f, 0.789551f, 0.803711f, 0.816895f, 0.831543f, 0.845703f, 0.858887f, - 0.871582f, 0.885254f, 0.897949f, 0.910645f, 0.923340f, 0.936035f, 0.948242f, 0.959961f, 0.972168f, 0.984375f, 0.972656f, 0.936035f, - 0.910645f, 0.890137f, 0.872070f, 0.855957f, 0.010048f, 0.030350f, 0.051392f, 0.072266f, 0.093506f, 0.114319f, 0.135620f, 0.155273f, - 0.177124f, 0.197144f, 0.217773f, 0.237915f, 0.257568f, 0.277588f, 0.298096f, 0.316895f, 0.336182f, 0.355225f, 0.374268f, 0.393311f, - 0.411865f, 0.430176f, 0.448486f, 0.466309f, 0.483398f, 0.501465f, 0.519043f, 0.535645f, 0.552734f, 0.570312f, 0.586426f, 0.602539f, - 0.618652f, 0.635254f, 0.650879f, 0.666016f, 0.682129f, 0.697266f, 0.712402f, 0.727539f, 0.741699f, 0.756836f, 0.770996f, 0.785645f, - 0.799805f, 0.812988f, 0.826660f, 0.840332f, 0.854004f, 0.867676f, 0.881348f, 0.893066f, 0.907715f, 0.919434f, 0.932617f, 0.943848f, - 0.955566f, 0.968262f, 0.965332f, 0.930664f, 0.906738f, 0.886719f, 0.869629f, 0.854004f, 0.009254f, 0.028961f, 0.048615f, 0.068054f, - 0.088562f, 0.108093f, 0.128540f, 0.147705f, 0.167236f, 0.188599f, 0.207886f, 0.227295f, 0.244873f, 0.265625f, 0.284668f, 0.303955f, - 0.322510f, 0.340820f, 0.358887f, 0.378662f, 0.396484f, 0.414307f, 0.431885f, 0.448975f, 0.466797f, 0.484619f, 0.500977f, 0.519043f, - 0.535645f, 0.551758f, 0.568359f, 0.584961f, 0.600586f, 0.616699f, 0.632324f, 0.647949f, 0.663086f, 0.678223f, 0.693848f, 0.708984f, - 0.723633f, 0.738281f, 0.752930f, 0.767578f, 0.780762f, 0.794922f, 0.809082f, 0.822754f, 0.835938f, 0.849609f, 0.863770f, 0.875488f, - 0.888672f, 0.902344f, 0.915527f, 0.927246f, 0.939453f, 0.952637f, 0.958008f, 0.925293f, 0.901855f, 0.882812f, 0.866211f, 0.851562f, - 0.008736f, 0.027039f, 0.045807f, 0.064514f, 0.083801f, 0.102844f, 0.121826f, 0.140869f, 0.159302f, 0.179077f, 0.197388f, 0.216064f, - 0.234741f, 0.253662f, 0.271729f, 0.290283f, 0.308350f, 0.327148f, 0.344238f, 0.362061f, 0.381836f, 0.398926f, 0.416016f, 0.432373f, - 0.450195f, 0.466797f, 0.484375f, 0.500977f, 0.517090f, 0.533691f, 0.550781f, 0.567871f, 0.582031f, 0.598145f, 0.613770f, 0.629395f, - 0.645020f, 0.659668f, 0.675781f, 0.689941f, 0.705566f, 0.719727f, 0.734375f, 0.749512f, 0.763184f, 0.776855f, 0.791016f, 0.804688f, - 0.818848f, 0.832031f, 0.845215f, 0.858398f, 0.872559f, 0.884766f, 0.897949f, 0.909668f, 0.922852f, 0.936035f, 0.950684f, 0.919434f, - 0.896973f, 0.878906f, 0.862793f, 0.848633f, 0.008339f, 0.025543f, 0.043427f, 0.060974f, 0.078979f, 0.097168f, 0.115051f, 0.133179f, - 0.151367f, 0.169678f, 0.187988f, 0.206055f, 0.223999f, 0.241821f, 0.260742f, 0.277832f, 0.295166f, 0.313232f, 0.331299f, 0.347412f, - 0.365479f, 0.383057f, 0.399902f, 0.416992f, 0.433350f, 0.450195f, 0.467773f, 0.484863f, 0.499756f, 0.515625f, 0.532715f, 0.548340f, - 0.564941f, 0.580566f, 0.596191f, 0.610840f, 0.626953f, 0.641602f, 0.656738f, 0.671875f, 0.686035f, 0.701660f, 0.714844f, 0.730469f, - 0.745117f, 0.759766f, 0.772461f, 0.786621f, 0.801270f, 0.814453f, 0.827637f, 0.841309f, 0.854004f, 0.867676f, 0.880859f, 0.893555f, - 0.907227f, 0.919434f, 0.943359f, 0.913086f, 0.891602f, 0.874512f, 0.858887f, 0.845703f, 0.008102f, 0.024002f, 0.040802f, 0.057098f, - 0.074768f, 0.091553f, 0.108826f, 0.126343f, 0.143921f, 0.161377f, 0.179077f, 0.195923f, 0.213745f, 0.230835f, 0.248047f, 0.265869f, - 0.282227f, 0.299561f, 0.316895f, 0.334473f, 0.350586f, 0.367920f, 0.384277f, 0.400391f, 0.417725f, 0.434326f, 0.450195f, 0.467285f, - 0.482910f, 0.498291f, 0.514648f, 0.530762f, 0.546387f, 0.561523f, 0.577637f, 0.593262f, 0.608398f, 0.623535f, 0.637695f, 0.654297f, - 0.668457f, 0.682617f, 0.698242f, 0.711914f, 0.727051f, 0.741211f, 0.754395f, 0.768066f, 0.782715f, 0.796387f, 0.810547f, 0.823730f, - 0.836426f, 0.849609f, 0.863770f, 0.876465f, 0.889648f, 0.902344f, 0.934570f, 0.907715f, 0.887207f, 0.870117f, 0.854980f, 0.842285f, - 0.007504f, 0.022812f, 0.038727f, 0.054871f, 0.070312f, 0.087097f, 0.103088f, 0.119446f, 0.136475f, 0.153442f, 0.169556f, 0.186523f, - 0.203369f, 0.219971f, 0.236450f, 0.253418f, 0.270264f, 0.287109f, 0.302979f, 0.319824f, 0.336182f, 0.353271f, 0.369141f, 0.386230f, - 0.402100f, 0.417725f, 0.433594f, 0.450684f, 0.466553f, 0.482178f, 0.498047f, 0.513184f, 0.528809f, 0.543945f, 0.559082f, 0.575195f, - 0.589844f, 0.605469f, 0.621094f, 0.634277f, 0.649414f, 0.665039f, 0.679688f, 0.694824f, 0.708496f, 0.722168f, 0.736816f, 0.750000f, - 0.763184f, 0.778809f, 0.791504f, 0.805664f, 0.819336f, 0.832520f, 0.845703f, 0.858887f, 0.872070f, 0.885742f, 0.927246f, 0.900879f, - 0.881836f, 0.864746f, 0.851074f, 0.838867f, 0.006836f, 0.021683f, 0.036224f, 0.051666f, 0.066772f, 0.081970f, 0.098022f, 0.113831f, - 0.129517f, 0.145264f, 0.161011f, 0.177856f, 0.193359f, 0.209106f, 0.226196f, 0.241821f, 0.257812f, 0.274414f, 0.290283f, 0.306641f, - 0.322754f, 0.338623f, 0.354492f, 0.370361f, 0.386230f, 0.402100f, 0.417725f, 0.433838f, 0.449463f, 0.465088f, 0.480469f, 0.495605f, - 0.511719f, 0.527344f, 0.541016f, 0.556641f, 0.571777f, 0.587402f, 0.601562f, 0.617676f, 0.631836f, 0.646484f, 0.660645f, 0.674805f, - 0.689941f, 0.704102f, 0.718262f, 0.731934f, 0.746582f, 0.760254f, 0.774414f, 0.786621f, 0.801758f, 0.815430f, 0.828125f, 0.842285f, - 0.854980f, 0.868652f, 0.918457f, 0.894531f, 0.875977f, 0.859863f, 0.846680f, 0.834961f, 0.006672f, 0.020401f, 0.034088f, 0.048462f, - 0.062927f, 0.077820f, 0.092529f, 0.107666f, 0.122803f, 0.137695f, 0.152954f, 0.169067f, 0.183716f, 0.199829f, 0.214722f, 0.230347f, - 0.246704f, 0.262207f, 0.277832f, 0.292969f, 0.308105f, 0.324219f, 0.339600f, 0.354492f, 0.371094f, 0.386963f, 0.401855f, 0.418457f, - 0.432861f, 0.449219f, 0.463379f, 0.478271f, 0.494385f, 0.508301f, 0.523438f, 0.539551f, 0.553711f, 0.568848f, 0.583984f, 0.598633f, - 0.612793f, 0.627441f, 0.642578f, 0.656250f, 0.670898f, 0.685547f, 0.698730f, 0.714355f, 0.728027f, 0.742188f, 0.755859f, 0.769531f, - 0.783691f, 0.795898f, 0.810059f, 0.824707f, 0.838379f, 0.850586f, 0.910645f, 0.887695f, 0.870117f, 0.854980f, 0.842285f, 0.831055f, - 0.006207f, 0.019211f, 0.032623f, 0.046112f, 0.059662f, 0.073181f, 0.087585f, 0.102051f, 0.116577f, 0.130249f, 0.145142f, 0.159790f, - 0.175171f, 0.189575f, 0.205322f, 0.219238f, 0.235474f, 0.249634f, 0.265137f, 0.280029f, 0.294678f, 0.310547f, 0.325928f, 0.340820f, - 0.356201f, 0.371094f, 0.386230f, 0.401367f, 0.416504f, 0.431885f, 0.446533f, 0.461670f, 0.476074f, 0.492188f, 0.507324f, 0.520996f, - 0.535645f, 0.550781f, 0.564941f, 0.580078f, 0.594727f, 0.609863f, 0.623535f, 0.637695f, 0.652832f, 0.667480f, 0.681152f, 0.695312f, - 0.709473f, 0.723633f, 0.737793f, 0.751953f, 0.765137f, 0.779297f, 0.793945f, 0.807129f, 0.819824f, 0.833496f, 0.901855f, 0.880859f, - 0.864258f, 0.850098f, 0.837891f, 0.826660f, 0.006020f, 0.018219f, 0.030579f, 0.043365f, 0.055908f, 0.069153f, 0.082336f, 0.096802f, - 0.109497f, 0.123535f, 0.137451f, 0.151855f, 0.165649f, 0.180054f, 0.194702f, 0.208252f, 0.223999f, 0.238037f, 0.252930f, 0.267334f, - 0.281982f, 0.296875f, 0.312012f, 0.326904f, 0.340820f, 0.355957f, 0.370850f, 0.385986f, 0.400391f, 0.415039f, 0.430176f, 0.445801f, - 0.459229f, 0.474365f, 0.489014f, 0.502441f, 0.518066f, 0.533203f, 0.547363f, 0.562012f, 0.576660f, 0.590820f, 0.605469f, 0.619629f, - 0.633789f, 0.647949f, 0.663574f, 0.676758f, 0.690918f, 0.705566f, 0.719238f, 0.733398f, 0.746582f, 0.760254f, 0.774414f, 0.788574f, - 0.802246f, 0.816406f, 0.894043f, 0.874023f, 0.858398f, 0.844238f, 0.832031f, 0.822266f, 0.005520f, 0.017059f, 0.028625f, 0.040649f, - 0.053131f, 0.065552f, 0.077698f, 0.091187f, 0.104065f, 0.117371f, 0.130859f, 0.143677f, 0.157349f, 0.171021f, 0.184814f, 0.198730f, - 0.213135f, 0.226807f, 0.241211f, 0.255127f, 0.269775f, 0.283691f, 0.298096f, 0.312744f, 0.326660f, 0.341553f, 0.355957f, 0.370117f, - 0.384766f, 0.399170f, 0.414307f, 0.427979f, 0.442627f, 0.457764f, 0.471924f, 0.486084f, 0.500488f, 0.515137f, 0.529785f, 0.543945f, - 0.558594f, 0.572754f, 0.587402f, 0.601074f, 0.615234f, 0.629395f, 0.644043f, 0.657715f, 0.672852f, 0.685547f, 0.700684f, 0.714844f, - 0.728027f, 0.743164f, 0.756348f, 0.770508f, 0.785645f, 0.798340f, 0.885254f, 0.867676f, 0.852051f, 0.839355f, 0.828125f, 0.817871f, - 0.005241f, 0.015854f, 0.027481f, 0.038605f, 0.050171f, 0.061859f, 0.073853f, 0.085693f, 0.098328f, 0.111206f, 0.123474f, 0.136475f, - 0.149658f, 0.162598f, 0.175293f, 0.188477f, 0.202148f, 0.216431f, 0.229858f, 0.242798f, 0.256104f, 0.270264f, 0.284668f, 0.298828f, - 0.312744f, 0.326904f, 0.341064f, 0.355469f, 0.369141f, 0.383057f, 0.396729f, 0.411621f, 0.426025f, 0.439697f, 0.454590f, 0.468506f, - 0.482666f, 0.497070f, 0.512207f, 0.525391f, 0.540527f, 0.555176f, 0.567871f, 0.582031f, 0.596191f, 0.610840f, 0.625488f, 0.639648f, - 0.653809f, 0.668457f, 0.681641f, 0.695801f, 0.710449f, 0.724121f, 0.738770f, 0.751953f, 0.766602f, 0.780273f, 0.876465f, 0.860352f, - 0.845703f, 0.833984f, 0.822754f, 0.812988f, 0.004982f, 0.015274f, 0.025681f, 0.036438f, 0.047119f, 0.058167f, 0.069397f, 0.081055f, - 0.092957f, 0.104492f, 0.116577f, 0.128418f, 0.141113f, 0.153442f, 0.166504f, 0.179321f, 0.192261f, 0.205200f, 0.218506f, 0.231934f, - 0.244629f, 0.258301f, 0.271729f, 0.284912f, 0.299072f, 0.312988f, 0.325684f, 0.340088f, 0.353271f, 0.367676f, 0.381836f, 0.395508f, - 0.408936f, 0.423584f, 0.438232f, 0.451416f, 0.466309f, 0.479736f, 0.493896f, 0.507812f, 0.521973f, 0.536133f, 0.550293f, 0.563965f, - 0.578613f, 0.592773f, 0.606934f, 0.620605f, 0.635254f, 0.649414f, 0.663086f, 0.677246f, 0.691406f, 0.706543f, 0.720703f, 0.734375f, - 0.748047f, 0.762695f, 0.868164f, 0.853027f, 0.839355f, 0.828125f, 0.817383f, 0.808105f, 0.004745f, 0.014290f, 0.024506f, 0.034393f, - 0.044617f, 0.054749f, 0.065308f, 0.076538f, 0.087646f, 0.098938f, 0.110535f, 0.121582f, 0.134155f, 0.145264f, 0.157837f, 0.170166f, - 0.182373f, 0.194824f, 0.207153f, 0.220337f, 0.233276f, 0.245728f, 0.259277f, 0.271973f, 0.285645f, 0.298584f, 0.311768f, 0.325684f, - 0.338623f, 0.352539f, 0.365967f, 0.379395f, 0.393066f, 0.406738f, 0.421143f, 0.434326f, 0.448730f, 0.462402f, 0.475586f, 0.490479f, - 0.503906f, 0.518066f, 0.532227f, 0.546387f, 0.560059f, 0.574219f, 0.588379f, 0.602539f, 0.616211f, 0.630371f, 0.644531f, 0.658691f, - 0.673340f, 0.686523f, 0.701660f, 0.715332f, 0.730469f, 0.745117f, 0.858887f, 0.845215f, 0.833008f, 0.821777f, 0.812012f, 0.802734f, - 0.004494f, 0.013550f, 0.022675f, 0.032227f, 0.042145f, 0.052002f, 0.061554f, 0.072205f, 0.082520f, 0.093323f, 0.104614f, 0.115112f, - 0.126099f, 0.137817f, 0.149536f, 0.160767f, 0.172607f, 0.184692f, 0.196167f, 0.208862f, 0.221924f, 0.233765f, 0.246216f, 0.258545f, - 0.272461f, 0.284424f, 0.297119f, 0.310547f, 0.323242f, 0.336914f, 0.350586f, 0.363281f, 0.376953f, 0.390869f, 0.403564f, 0.416992f, - 0.431152f, 0.444824f, 0.458496f, 0.472656f, 0.486084f, 0.500000f, 0.513672f, 0.527832f, 0.541504f, 0.555664f, 0.569824f, 0.583496f, - 0.598145f, 0.611816f, 0.626465f, 0.639648f, 0.654297f, 0.668457f, 0.683594f, 0.697754f, 0.711914f, 0.726562f, 0.849609f, 0.838867f, - 0.826172f, 0.815918f, 0.806641f, 0.796875f, 0.004288f, 0.012619f, 0.021713f, 0.030945f, 0.039368f, 0.048737f, 0.058533f, 0.067932f, - 0.077759f, 0.088013f, 0.098755f, 0.108398f, 0.119080f, 0.129639f, 0.141235f, 0.152466f, 0.163940f, 0.174927f, 0.186768f, 0.198608f, - 0.210205f, 0.222290f, 0.234131f, 0.246094f, 0.258789f, 0.270508f, 0.283203f, 0.296631f, 0.309326f, 0.321777f, 0.335449f, 0.348145f, - 0.361084f, 0.374023f, 0.386963f, 0.400391f, 0.414062f, 0.427734f, 0.441162f, 0.455078f, 0.467773f, 0.482422f, 0.495117f, 0.509277f, - 0.523926f, 0.536621f, 0.550781f, 0.564941f, 0.579102f, 0.593262f, 0.607422f, 0.621582f, 0.635742f, 0.649902f, 0.664551f, 0.678711f, - 0.693848f, 0.708008f, 0.840820f, 0.831055f, 0.819336f, 0.809570f, 0.801270f, 0.792969f, 0.004013f, 0.012070f, 0.019989f, 0.029190f, - 0.037415f, 0.045776f, 0.055023f, 0.064392f, 0.073669f, 0.083374f, 0.092224f, 0.102295f, 0.112610f, 0.122742f, 0.133057f, 0.143799f, - 0.155273f, 0.165527f, 0.176880f, 0.188110f, 0.199463f, 0.210815f, 0.222534f, 0.234619f, 0.245972f, 0.258301f, 0.270508f, 0.282715f, - 0.294678f, 0.307129f, 0.320557f, 0.333008f, 0.345947f, 0.358398f, 0.371826f, 0.384277f, 0.397461f, 0.410889f, 0.424561f, 0.437256f, - 0.451416f, 0.464600f, 0.477783f, 0.491455f, 0.504395f, 0.518555f, 0.532715f, 0.546875f, 0.560547f, 0.574219f, 0.588379f, 0.604004f, - 0.617188f, 0.631348f, 0.645020f, 0.660645f, 0.674316f, 0.689941f, 0.832031f, 0.823242f, 0.813477f, 0.803711f, 0.794922f, 0.787109f, - 0.003790f, 0.011559f, 0.019119f, 0.027069f, 0.035034f, 0.043762f, 0.052032f, 0.060059f, 0.069153f, 0.078369f, 0.087280f, 0.096741f, - 0.105957f, 0.115967f, 0.125732f, 0.135620f, 0.146118f, 0.156128f, 0.166992f, 0.177612f, 0.188965f, 0.199829f, 0.210815f, 0.222290f, - 0.233887f, 0.244873f, 0.257324f, 0.268799f, 0.281006f, 0.292969f, 0.305420f, 0.317627f, 0.329834f, 0.341797f, 0.355469f, 0.368164f, - 0.380859f, 0.393311f, 0.407227f, 0.419434f, 0.433350f, 0.446533f, 0.459961f, 0.473633f, 0.486328f, 0.500488f, 0.515625f, 0.528320f, - 0.541504f, 0.556152f, 0.570312f, 0.584473f, 0.598633f, 0.612305f, 0.626465f, 0.640625f, 0.655762f, 0.670410f, 0.822266f, 0.815918f, - 0.805664f, 0.796387f, 0.788574f, 0.782227f, 0.003599f, 0.010727f, 0.018219f, 0.025177f, 0.033203f, 0.041046f, 0.048981f, 0.057220f, - 0.065247f, 0.073792f, 0.082764f, 0.091064f, 0.100220f, 0.108826f, 0.118591f, 0.128052f, 0.137573f, 0.147705f, 0.158081f, 0.167603f, - 0.177979f, 0.188721f, 0.198975f, 0.210205f, 0.221924f, 0.232544f, 0.243774f, 0.255615f, 0.267090f, 0.278564f, 0.290039f, 0.302490f, - 0.314941f, 0.327393f, 0.338623f, 0.352295f, 0.364014f, 0.377441f, 0.390381f, 0.403564f, 0.415039f, 0.428955f, 0.441895f, 0.455078f, - 0.468994f, 0.482666f, 0.496094f, 0.509277f, 0.523926f, 0.537598f, 0.551270f, 0.565430f, 0.579590f, 0.594238f, 0.608887f, 0.622559f, - 0.637207f, 0.651855f, 0.813477f, 0.807617f, 0.798340f, 0.790527f, 0.782715f, 0.775391f, 0.003355f, 0.009918f, 0.017105f, 0.023911f, - 0.031281f, 0.038147f, 0.045990f, 0.053284f, 0.061493f, 0.069214f, 0.077026f, 0.085571f, 0.093567f, 0.102600f, 0.111755f, 0.120728f, - 0.129761f, 0.138916f, 0.148804f, 0.158447f, 0.167725f, 0.177979f, 0.188965f, 0.198608f, 0.209473f, 0.220215f, 0.231567f, 0.242554f, - 0.253906f, 0.264160f, 0.276123f, 0.287109f, 0.300049f, 0.312012f, 0.323975f, 0.336182f, 0.348145f, 0.360840f, 0.372803f, 0.385986f, - 0.398438f, 0.411621f, 0.424316f, 0.437256f, 0.450439f, 0.464844f, 0.478027f, 0.490723f, 0.504395f, 0.518066f, 0.532715f, 0.546387f, - 0.561523f, 0.575684f, 0.589355f, 0.604004f, 0.618164f, 0.632324f, 0.802246f, 0.800293f, 0.792480f, 0.783691f, 0.776367f, 0.769531f, - 0.003265f, 0.009575f, 0.016144f, 0.022415f, 0.029510f, 0.036316f, 0.042755f, 0.050812f, 0.057556f, 0.065002f, 0.072388f, 0.080200f, - 0.087952f, 0.096680f, 0.104858f, 0.113281f, 0.122070f, 0.130493f, 0.139771f, 0.148926f, 0.158447f, 0.168335f, 0.177612f, 0.187500f, - 0.198120f, 0.208130f, 0.218750f, 0.229492f, 0.240234f, 0.250732f, 0.262207f, 0.273682f, 0.285156f, 0.296143f, 0.308594f, 0.320068f, - 0.332520f, 0.344482f, 0.357178f, 0.368652f, 0.381836f, 0.394043f, 0.406494f, 0.420410f, 0.433105f, 0.445801f, 0.459717f, 0.473633f, - 0.486816f, 0.500000f, 0.513672f, 0.527832f, 0.541992f, 0.556152f, 0.570312f, 0.585449f, 0.598633f, 0.613770f, 0.794434f, 0.791504f, - 0.784180f, 0.776855f, 0.770020f, 0.764160f, 0.002954f, 0.008904f, 0.014961f, 0.021210f, 0.027420f, 0.033905f, 0.040619f, 0.047363f, - 0.053986f, 0.060883f, 0.068054f, 0.075378f, 0.082703f, 0.090515f, 0.098022f, 0.105896f, 0.114319f, 0.122742f, 0.131592f, 0.139771f, - 0.149170f, 0.157959f, 0.167480f, 0.177124f, 0.186768f, 0.196411f, 0.206543f, 0.216919f, 0.227539f, 0.237671f, 0.248413f, 0.259277f, - 0.270264f, 0.281738f, 0.292725f, 0.304443f, 0.315918f, 0.327637f, 0.340576f, 0.352539f, 0.364746f, 0.377930f, 0.390137f, 0.401855f, - 0.415039f, 0.428223f, 0.441406f, 0.454834f, 0.468506f, 0.481689f, 0.494873f, 0.509277f, 0.523438f, 0.537598f, 0.551758f, 0.565918f, - 0.580078f, 0.594727f, 0.783691f, 0.783203f, 0.776855f, 0.770508f, 0.763672f, 0.757324f, 0.002836f, 0.008659f, 0.014351f, 0.019913f, - 0.025772f, 0.032074f, 0.037933f, 0.044128f, 0.050903f, 0.057159f, 0.064026f, 0.070496f, 0.077698f, 0.085022f, 0.091919f, 0.099426f, - 0.107727f, 0.114990f, 0.123169f, 0.131226f, 0.140015f, 0.148682f, 0.157349f, 0.166260f, 0.175171f, 0.184692f, 0.194214f, 0.203979f, - 0.214355f, 0.224487f, 0.234985f, 0.245728f, 0.256104f, 0.267334f, 0.278320f, 0.288818f, 0.301025f, 0.312256f, 0.324219f, 0.335938f, - 0.347900f, 0.360596f, 0.372070f, 0.384521f, 0.397217f, 0.410400f, 0.423340f, 0.436279f, 0.449463f, 0.463135f, 0.476807f, 0.490723f, - 0.503906f, 0.517578f, 0.532227f, 0.546875f, 0.561035f, 0.575684f, 0.773926f, 0.775391f, 0.769043f, 0.763672f, 0.757812f, 0.751953f, - 0.002506f, 0.008080f, 0.013100f, 0.018738f, 0.024384f, 0.029953f, 0.035797f, 0.041473f, 0.047485f, 0.053558f, 0.059265f, 0.065918f, - 0.072693f, 0.079468f, 0.086426f, 0.093384f, 0.100708f, 0.108032f, 0.115417f, 0.122986f, 0.130615f, 0.139038f, 0.147827f, 0.156494f, - 0.165039f, 0.173828f, 0.182617f, 0.192139f, 0.201782f, 0.211426f, 0.221558f, 0.231323f, 0.242188f, 0.252686f, 0.263672f, 0.274414f, - 0.284912f, 0.296143f, 0.308105f, 0.319824f, 0.331543f, 0.343750f, 0.355225f, 0.367432f, 0.379883f, 0.393066f, 0.405273f, 0.418457f, - 0.431641f, 0.444580f, 0.457764f, 0.471924f, 0.485840f, 0.499268f, 0.512695f, 0.527344f, 0.542480f, 0.556641f, 0.764160f, 0.766602f, - 0.761719f, 0.756348f, 0.750488f, 0.745605f, 0.002640f, 0.007809f, 0.012497f, 0.017593f, 0.023102f, 0.028122f, 0.033569f, 0.038879f, - 0.044250f, 0.049988f, 0.055908f, 0.061615f, 0.067627f, 0.074036f, 0.080566f, 0.087524f, 0.093262f, 0.100769f, 0.107910f, 0.114929f, - 0.121948f, 0.130371f, 0.137939f, 0.146362f, 0.154297f, 0.163208f, 0.171509f, 0.180664f, 0.189697f, 0.199341f, 0.208618f, 0.218506f, - 0.228394f, 0.238892f, 0.248779f, 0.259277f, 0.270752f, 0.281250f, 0.292236f, 0.303467f, 0.315186f, 0.326660f, 0.338867f, 0.351074f, - 0.362305f, 0.374756f, 0.387939f, 0.400146f, 0.413330f, 0.426514f, 0.439209f, 0.452881f, 0.466553f, 0.480225f, 0.494141f, 0.508301f, - 0.522949f, 0.537109f, 0.753906f, 0.758301f, 0.754395f, 0.749023f, 0.743652f, 0.739258f, 0.002441f, 0.007088f, 0.011993f, 0.016266f, - 0.021255f, 0.026031f, 0.031189f, 0.036072f, 0.041260f, 0.046753f, 0.052155f, 0.057587f, 0.063232f, 0.068787f, 0.075623f, 0.081055f, - 0.087341f, 0.094177f, 0.100647f, 0.106689f, 0.113892f, 0.121399f, 0.129028f, 0.136841f, 0.144287f, 0.152222f, 0.160522f, 0.169312f, - 0.178101f, 0.186523f, 0.196045f, 0.205200f, 0.214966f, 0.224487f, 0.234863f, 0.244751f, 0.255371f, 0.265625f, 0.276367f, 0.287842f, - 0.298828f, 0.310303f, 0.321533f, 0.333984f, 0.345459f, 0.357666f, 0.370117f, 0.382568f, 0.394287f, 0.407959f, 0.421875f, 0.433838f, - 0.446777f, 0.461426f, 0.475098f, 0.488525f, 0.504395f, 0.517578f, 0.744141f, 0.749512f, 0.746094f, 0.741699f, 0.736816f, 0.732422f, - 0.002172f, 0.006695f, 0.011093f, 0.015266f, 0.020081f, 0.024521f, 0.029388f, 0.033966f, 0.038727f, 0.043427f, 0.048706f, 0.053772f, - 0.059418f, 0.064270f, 0.069580f, 0.075500f, 0.081421f, 0.087280f, 0.093262f, 0.099670f, 0.106567f, 0.113220f, 0.119995f, 0.127197f, - 0.134644f, 0.142212f, 0.150146f, 0.157959f, 0.166382f, 0.174927f, 0.184082f, 0.192505f, 0.201904f, 0.211792f, 0.220825f, 0.230713f, - 0.240601f, 0.251221f, 0.261719f, 0.272461f, 0.282715f, 0.294434f, 0.305420f, 0.316650f, 0.328369f, 0.340088f, 0.352783f, 0.364746f, - 0.377197f, 0.389648f, 0.402832f, 0.416016f, 0.429443f, 0.442627f, 0.456055f, 0.469971f, 0.484863f, 0.499268f, 0.733887f, 0.741211f, - 0.737793f, 0.734375f, 0.729980f, 0.725586f, 0.002045f, 0.006187f, 0.010406f, 0.014664f, 0.018570f, 0.022675f, 0.027176f, 0.031586f, - 0.035858f, 0.040253f, 0.045227f, 0.049774f, 0.054504f, 0.059692f, 0.065186f, 0.070374f, 0.075500f, 0.080627f, 0.086792f, 0.092285f, - 0.098999f, 0.104675f, 0.111816f, 0.118286f, 0.125610f, 0.132324f, 0.139771f, 0.147339f, 0.155029f, 0.163696f, 0.171631f, 0.180420f, - 0.189087f, 0.197754f, 0.207275f, 0.216309f, 0.226440f, 0.236694f, 0.246338f, 0.256836f, 0.267334f, 0.278320f, 0.289062f, 0.300537f, - 0.312012f, 0.323975f, 0.335449f, 0.347168f, 0.359375f, 0.372314f, 0.384521f, 0.396973f, 0.410400f, 0.423584f, 0.437500f, 0.450928f, - 0.465332f, 0.479736f, 0.723145f, 0.732422f, 0.729980f, 0.726562f, 0.722656f, 0.718750f, 0.002148f, 0.005802f, 0.009811f, 0.013565f, - 0.017578f, 0.021179f, 0.025040f, 0.029053f, 0.033417f, 0.037445f, 0.042114f, 0.046112f, 0.050720f, 0.055511f, 0.060028f, 0.065002f, - 0.069458f, 0.075134f, 0.080078f, 0.085693f, 0.091492f, 0.097290f, 0.103394f, 0.109802f, 0.116089f, 0.122925f, 0.129883f, 0.136963f, - 0.144165f, 0.151733f, 0.160156f, 0.167847f, 0.176392f, 0.184692f, 0.193848f, 0.203003f, 0.212402f, 0.221680f, 0.231689f, 0.242065f, - 0.251953f, 0.262207f, 0.273193f, 0.283936f, 0.295410f, 0.306152f, 0.318359f, 0.329590f, 0.342285f, 0.354248f, 0.366455f, 0.379150f, - 0.391846f, 0.405273f, 0.418701f, 0.432617f, 0.446289f, 0.460205f, 0.712891f, 0.723633f, 0.722168f, 0.718750f, 0.715332f, 0.712402f, - 0.001963f, 0.005642f, 0.009071f, 0.012756f, 0.016006f, 0.020020f, 0.023422f, 0.027679f, 0.030762f, 0.034943f, 0.038605f, 0.042969f, - 0.047028f, 0.051178f, 0.055542f, 0.060120f, 0.064575f, 0.069153f, 0.074280f, 0.079041f, 0.084595f, 0.089905f, 0.095276f, 0.101440f, - 0.107300f, 0.113586f, 0.119751f, 0.127075f, 0.134033f, 0.141357f, 0.148438f, 0.155884f, 0.164062f, 0.172729f, 0.180542f, 0.190063f, - 0.198364f, 0.207764f, 0.217163f, 0.226807f, 0.236938f, 0.247070f, 0.257324f, 0.268066f, 0.278320f, 0.289795f, 0.301025f, 0.312744f, - 0.324707f, 0.336182f, 0.347900f, 0.360840f, 0.372803f, 0.386230f, 0.399902f, 0.413574f, 0.427246f, 0.441162f, 0.702148f, 0.714355f, - 0.713867f, 0.711426f, 0.707520f, 0.704590f, 0.001995f, 0.005245f, 0.008553f, 0.011543f, 0.015015f, 0.018326f, 0.021881f, 0.025131f, - 0.028641f, 0.032349f, 0.035675f, 0.039520f, 0.043549f, 0.047089f, 0.051086f, 0.054962f, 0.059265f, 0.063782f, 0.068054f, 0.072571f, - 0.077759f, 0.082520f, 0.088013f, 0.093323f, 0.098755f, 0.104858f, 0.111145f, 0.117371f, 0.123840f, 0.130615f, 0.137207f, 0.144897f, - 0.152344f, 0.160278f, 0.167969f, 0.176514f, 0.185425f, 0.193848f, 0.202881f, 0.212524f, 0.221924f, 0.231323f, 0.241821f, 0.251953f, - 0.262451f, 0.272949f, 0.284424f, 0.295166f, 0.306396f, 0.319092f, 0.329590f, 0.343018f, 0.355225f, 0.368652f, 0.381348f, 0.393799f, - 0.408447f, 0.422852f, 0.691406f, 0.706055f, 0.706055f, 0.703125f, 0.700684f, 0.697754f, 0.001692f, 0.004898f, 0.007828f, 0.011070f, - 0.013992f, 0.017227f, 0.020187f, 0.023499f, 0.026520f, 0.029526f, 0.033081f, 0.036377f, 0.039459f, 0.043396f, 0.047028f, 0.050323f, - 0.054199f, 0.058350f, 0.062317f, 0.066711f, 0.071106f, 0.075928f, 0.080750f, 0.085510f, 0.090820f, 0.096497f, 0.102234f, 0.107727f, - 0.114075f, 0.120300f, 0.126587f, 0.133789f, 0.141113f, 0.148193f, 0.156006f, 0.163696f, 0.171753f, 0.180542f, 0.188965f, 0.198120f, - 0.207275f, 0.216797f, 0.226318f, 0.236206f, 0.246338f, 0.256836f, 0.267334f, 0.278809f, 0.289795f, 0.300781f, 0.313232f, 0.324707f, - 0.337402f, 0.349365f, 0.362305f, 0.376221f, 0.389404f, 0.403809f, 0.680176f, 0.696289f, 0.697266f, 0.695312f, 0.692871f, 0.689941f, - 0.001606f, 0.004543f, 0.007450f, 0.010269f, 0.012962f, 0.015900f, 0.018677f, 0.021591f, 0.024628f, 0.027618f, 0.030182f, 0.033783f, - 0.036194f, 0.039734f, 0.042725f, 0.046478f, 0.049652f, 0.053253f, 0.057251f, 0.060883f, 0.065186f, 0.069336f, 0.073730f, 0.078247f, - 0.083252f, 0.088501f, 0.093628f, 0.099182f, 0.104553f, 0.110718f, 0.116577f, 0.123108f, 0.129883f, 0.136719f, 0.143921f, 0.151367f, - 0.159302f, 0.167114f, 0.175415f, 0.183960f, 0.192871f, 0.202148f, 0.210938f, 0.221436f, 0.230713f, 0.240723f, 0.250977f, 0.261963f, - 0.272461f, 0.283691f, 0.295166f, 0.306885f, 0.319092f, 0.331055f, 0.343750f, 0.356689f, 0.370361f, 0.383545f, 0.669434f, 0.687500f, - 0.688965f, 0.687500f, 0.685547f, 0.682617f, 0.001701f, 0.004345f, 0.006802f, 0.009514f, 0.012283f, 0.014793f, 0.017288f, 0.019958f, - 0.022614f, 0.025177f, 0.027695f, 0.030487f, 0.033081f, 0.035858f, 0.039185f, 0.042236f, 0.045319f, 0.048523f, 0.051941f, 0.055847f, - 0.059326f, 0.063171f, 0.067139f, 0.071594f, 0.075928f, 0.080566f, 0.085571f, 0.090454f, 0.095520f, 0.101196f, 0.106567f, 0.112427f, - 0.119019f, 0.125610f, 0.132324f, 0.139282f, 0.146973f, 0.154419f, 0.161987f, 0.170532f, 0.178833f, 0.187134f, 0.196777f, 0.206177f, - 0.214966f, 0.225220f, 0.235352f, 0.246094f, 0.255615f, 0.266846f, 0.278320f, 0.290039f, 0.301270f, 0.313477f, 0.325195f, 0.338867f, - 0.352539f, 0.365234f, 0.657715f, 0.678711f, 0.679688f, 0.679199f, 0.677734f, 0.675293f, 0.001310f, 0.003979f, 0.006393f, 0.008522f, - 0.011223f, 0.013557f, 0.015976f, 0.018433f, 0.020737f, 0.022842f, 0.025421f, 0.027649f, 0.030289f, 0.032806f, 0.035645f, 0.038025f, - 0.041199f, 0.044220f, 0.047058f, 0.050720f, 0.053589f, 0.057281f, 0.061157f, 0.064941f, 0.068787f, 0.072998f, 0.077698f, 0.082153f, - 0.086975f, 0.092102f, 0.097229f, 0.103027f, 0.108826f, 0.114746f, 0.121094f, 0.127930f, 0.134521f, 0.141846f, 0.149292f, 0.157227f, - 0.164673f, 0.173218f, 0.182007f, 0.190552f, 0.199951f, 0.209717f, 0.219360f, 0.229004f, 0.239502f, 0.250244f, 0.260986f, 0.272461f, - 0.282959f, 0.295166f, 0.307373f, 0.320557f, 0.333252f, 0.346436f, 0.646973f, 0.668945f, 0.670898f, 0.671387f, 0.669922f, 0.668457f, - 0.001348f, 0.003523f, 0.005863f, 0.008133f, 0.010338f, 0.012520f, 0.014511f, 0.016464f, 0.018768f, 0.020920f, 0.022888f, 0.025665f, - 0.027588f, 0.029861f, 0.032135f, 0.034485f, 0.037140f, 0.040039f, 0.042725f, 0.045532f, 0.048859f, 0.051971f, 0.055237f, 0.058594f, - 0.062408f, 0.066101f, 0.070251f, 0.074280f, 0.078735f, 0.083435f, 0.088318f, 0.093567f, 0.098633f, 0.104431f, 0.110291f, 0.116455f, - 0.122986f, 0.129517f, 0.136963f, 0.143921f, 0.152222f, 0.159546f, 0.167358f, 0.176514f, 0.185181f, 0.194214f, 0.203857f, 0.213623f, - 0.223389f, 0.233521f, 0.244385f, 0.255127f, 0.266602f, 0.277832f, 0.289307f, 0.301758f, 0.314697f, 0.328613f, 0.635254f, 0.659668f, - 0.663086f, 0.663086f, 0.662109f, 0.660156f, 0.001084f, 0.003263f, 0.005554f, 0.007416f, 0.009445f, 0.011185f, 0.013161f, 0.015366f, - 0.017136f, 0.019058f, 0.020935f, 0.022781f, 0.024857f, 0.026886f, 0.029160f, 0.031097f, 0.033569f, 0.035858f, 0.038361f, 0.040924f, - 0.043427f, 0.046478f, 0.049500f, 0.052948f, 0.056122f, 0.059418f, 0.063293f, 0.067139f, 0.070923f, 0.075073f, 0.079712f, 0.084229f, - 0.089233f, 0.094604f, 0.100037f, 0.105774f, 0.111694f, 0.117798f, 0.124634f, 0.131226f, 0.139038f, 0.146484f, 0.154175f, 0.162231f, - 0.170654f, 0.179199f, 0.188599f, 0.197754f, 0.207153f, 0.217407f, 0.227295f, 0.238159f, 0.248657f, 0.260986f, 0.271973f, 0.284912f, - 0.296631f, 0.308838f, 0.623535f, 0.650391f, 0.653809f, 0.654297f, 0.653809f, 0.652832f, 0.001070f, 0.003069f, 0.005108f, 0.006855f, - 0.008522f, 0.010384f, 0.011993f, 0.013847f, 0.015549f, 0.016968f, 0.018677f, 0.020660f, 0.022079f, 0.024048f, 0.026077f, 0.027954f, - 0.030014f, 0.032135f, 0.034210f, 0.036560f, 0.038971f, 0.041840f, 0.044434f, 0.047089f, 0.049896f, 0.053284f, 0.056763f, 0.060120f, - 0.063477f, 0.067505f, 0.071533f, 0.075928f, 0.080261f, 0.085205f, 0.089905f, 0.095520f, 0.100830f, 0.106567f, 0.113159f, 0.119385f, - 0.126221f, 0.133301f, 0.140259f, 0.148560f, 0.156494f, 0.165039f, 0.173462f, 0.182861f, 0.192017f, 0.201172f, 0.211548f, 0.221802f, - 0.232666f, 0.243286f, 0.254639f, 0.265869f, 0.278809f, 0.291260f, 0.611816f, 0.640625f, 0.645508f, 0.645996f, 0.645508f, 0.645020f, - 0.001057f, 0.002815f, 0.004646f, 0.006187f, 0.007935f, 0.009583f, 0.011139f, 0.012428f, 0.013878f, 0.015404f, 0.016830f, 0.018433f, - 0.019836f, 0.021637f, 0.023300f, 0.024857f, 0.026855f, 0.028519f, 0.030533f, 0.032593f, 0.034790f, 0.037140f, 0.039520f, 0.041748f, - 0.044525f, 0.047302f, 0.050232f, 0.053497f, 0.056580f, 0.059998f, 0.063721f, 0.067627f, 0.071777f, 0.076111f, 0.080627f, 0.085571f, - 0.090698f, 0.096130f, 0.101624f, 0.107849f, 0.114258f, 0.120544f, 0.127686f, 0.135132f, 0.142700f, 0.150269f, 0.158813f, 0.167725f, - 0.176392f, 0.185791f, 0.195312f, 0.205444f, 0.216064f, 0.226562f, 0.237793f, 0.248657f, 0.260254f, 0.272949f, 0.600098f, 0.631348f, - 0.636230f, 0.637207f, 0.637695f, 0.636719f, 0.001022f, 0.002628f, 0.004486f, 0.005684f, 0.007179f, 0.008636f, 0.009911f, 0.011307f, - 0.012428f, 0.013771f, 0.015152f, 0.016342f, 0.017822f, 0.018997f, 0.020584f, 0.022263f, 0.023651f, 0.025482f, 0.027191f, 0.028793f, - 0.030960f, 0.032715f, 0.034912f, 0.036987f, 0.039368f, 0.041840f, 0.044495f, 0.047180f, 0.050110f, 0.053314f, 0.056580f, 0.060059f, - 0.063660f, 0.067383f, 0.071777f, 0.075928f, 0.081055f, 0.085938f, 0.091187f, 0.096619f, 0.102356f, 0.108826f, 0.115051f, 0.121948f, - 0.129150f, 0.136475f, 0.144653f, 0.152832f, 0.161621f, 0.170288f, 0.179932f, 0.189209f, 0.198730f, 0.209595f, 0.220459f, 0.231201f, - 0.242798f, 0.255615f, 0.588867f, 0.621094f, 0.626953f, 0.629883f, 0.629395f, 0.629883f, 0.001016f, 0.002304f, 0.003975f, 0.005024f, - 0.006584f, 0.007812f, 0.008926f, 0.009987f, 0.011024f, 0.012199f, 0.013321f, 0.014595f, 0.015617f, 0.016830f, 0.018326f, 0.019577f, - 0.020798f, 0.022293f, 0.023758f, 0.025253f, 0.027145f, 0.028656f, 0.030640f, 0.032501f, 0.034546f, 0.036682f, 0.039001f, 0.041412f, - 0.044037f, 0.046875f, 0.049622f, 0.052917f, 0.056030f, 0.059387f, 0.063354f, 0.067383f, 0.071655f, 0.075928f, 0.080750f, 0.085876f, - 0.091248f, 0.097168f, 0.102905f, 0.109497f, 0.116272f, 0.123413f, 0.130859f, 0.138550f, 0.147217f, 0.155518f, 0.164551f, 0.173828f, - 0.183350f, 0.193481f, 0.204102f, 0.214600f, 0.225342f, 0.237915f, 0.575684f, 0.611816f, 0.617188f, 0.621094f, 0.621582f, 0.620605f, - 0.000768f, 0.002398f, 0.003801f, 0.004875f, 0.005848f, 0.006889f, 0.008072f, 0.008820f, 0.009758f, 0.010910f, 0.011810f, 0.013023f, - 0.013878f, 0.014786f, 0.016083f, 0.017166f, 0.018402f, 0.019577f, 0.020691f, 0.022125f, 0.023743f, 0.025009f, 0.026779f, 0.028336f, - 0.030075f, 0.031921f, 0.033997f, 0.036255f, 0.038452f, 0.040833f, 0.043488f, 0.045959f, 0.049011f, 0.052216f, 0.055634f, 0.059052f, - 0.062744f, 0.066956f, 0.071289f, 0.075745f, 0.080566f, 0.086060f, 0.091614f, 0.097351f, 0.103821f, 0.110291f, 0.117432f, 0.124939f, - 0.132568f, 0.140869f, 0.149414f, 0.158325f, 0.168213f, 0.177368f, 0.187744f, 0.197876f, 0.208984f, 0.219849f, 0.563965f, 0.602051f, - 0.608887f, 0.610840f, 0.613770f, 0.612305f, 0.000764f, 0.002028f, 0.003302f, 0.004276f, 0.005325f, 0.006035f, 0.007034f, 0.007843f, - 0.008904f, 0.009628f, 0.010323f, 0.011192f, 0.012039f, 0.013092f, 0.013924f, 0.014854f, 0.015793f, 0.016953f, 0.018036f, 0.019211f, - 0.020355f, 0.021667f, 0.023010f, 0.024582f, 0.026016f, 0.027771f, 0.029434f, 0.031235f, 0.033264f, 0.035217f, 0.037628f, 0.039886f, - 0.042084f, 0.044952f, 0.048126f, 0.051392f, 0.054779f, 0.058197f, 0.062164f, 0.066223f, 0.070740f, 0.075439f, 0.080566f, 0.086182f, - 0.091919f, 0.098145f, 0.104431f, 0.111633f, 0.119080f, 0.126587f, 0.134888f, 0.143311f, 0.152710f, 0.162109f, 0.171631f, 0.182129f, - 0.192139f, 0.203491f, 0.552246f, 0.591309f, 0.599609f, 0.602539f, 0.604004f, 0.604980f, 0.000782f, 0.001970f, 0.003082f, 0.003859f, - 0.004635f, 0.005611f, 0.006123f, 0.006767f, 0.007595f, 0.008270f, 0.009140f, 0.009674f, 0.010490f, 0.011040f, 0.011902f, 0.012749f, - 0.013573f, 0.014526f, 0.015656f, 0.016541f, 0.017548f, 0.018631f, 0.019730f, 0.021103f, 0.022446f, 0.023758f, 0.025162f, 0.026611f, - 0.028458f, 0.030441f, 0.032074f, 0.034302f, 0.036316f, 0.038727f, 0.041138f, 0.044098f, 0.046997f, 0.050232f, 0.053711f, 0.057281f, - 0.061340f, 0.065491f, 0.070435f, 0.075256f, 0.080688f, 0.086426f, 0.092346f, 0.098694f, 0.105896f, 0.113098f, 0.120911f, 0.129028f, - 0.137695f, 0.146606f, 0.155884f, 0.165894f, 0.175903f, 0.186768f, 0.540527f, 0.582520f, 0.590332f, 0.593750f, 0.594727f, 0.596191f, - 0.000711f, 0.001649f, 0.002529f, 0.003332f, 0.004036f, 0.004799f, 0.005444f, 0.006050f, 0.006638f, 0.007160f, 0.007771f, 0.008331f, - 0.008980f, 0.009644f, 0.010307f, 0.010887f, 0.011787f, 0.012306f, 0.013176f, 0.014099f, 0.014915f, 0.015839f, 0.016708f, 0.017822f, - 0.019073f, 0.020233f, 0.021423f, 0.022690f, 0.024033f, 0.025589f, 0.027344f, 0.028976f, 0.030930f, 0.032990f, 0.035156f, 0.037445f, - 0.040131f, 0.042847f, 0.045776f, 0.049042f, 0.052551f, 0.056519f, 0.060486f, 0.064941f, 0.069458f, 0.074951f, 0.080444f, 0.086487f, - 0.092957f, 0.099915f, 0.107361f, 0.114929f, 0.123535f, 0.131714f, 0.140747f, 0.150513f, 0.160767f, 0.171265f, 0.527832f, 0.572754f, - 0.581543f, 0.583496f, 0.586426f, 0.587402f, 0.000504f, 0.001575f, 0.002235f, 0.003147f, 0.003641f, 0.004150f, 0.004570f, 0.005173f, - 0.005863f, 0.006016f, 0.006462f, 0.007111f, 0.007660f, 0.008156f, 0.008736f, 0.009354f, 0.010094f, 0.010475f, 0.011253f, 0.011879f, - 0.012657f, 0.013603f, 0.014267f, 0.015099f, 0.016144f, 0.017014f, 0.017990f, 0.019104f, 0.020416f, 0.021652f, 0.022919f, 0.024353f, - 0.025986f, 0.027710f, 0.029602f, 0.031494f, 0.033722f, 0.036102f, 0.038635f, 0.041412f, 0.044525f, 0.047729f, 0.051636f, 0.055511f, - 0.059540f, 0.064331f, 0.069580f, 0.075073f, 0.080750f, 0.087341f, 0.094116f, 0.101379f, 0.109558f, 0.117676f, 0.126221f, 0.135376f, - 0.145874f, 0.155518f, 0.516113f, 0.562012f, 0.571777f, 0.576172f, 0.578125f, 0.579102f, 0.000445f, 0.001304f, 0.002201f, 0.002535f, - 0.003126f, 0.003664f, 0.004047f, 0.004463f, 0.004887f, 0.005234f, 0.005711f, 0.005997f, 0.006500f, 0.006901f, 0.007389f, 0.007904f, - 0.008293f, 0.008919f, 0.009499f, 0.009941f, 0.010635f, 0.011269f, 0.011948f, 0.012589f, 0.013435f, 0.014252f, 0.015091f, 0.016052f, - 0.017059f, 0.017960f, 0.019241f, 0.020264f, 0.021667f, 0.022995f, 0.024628f, 0.026230f, 0.027985f, 0.029984f, 0.032288f, 0.034515f, - 0.037140f, 0.040009f, 0.043152f, 0.046722f, 0.050354f, 0.054504f, 0.059143f, 0.064026f, 0.069458f, 0.075256f, 0.081726f, 0.088562f, - 0.095825f, 0.103516f, 0.112000f, 0.120850f, 0.130005f, 0.140381f, 0.502441f, 0.551758f, 0.562012f, 0.566406f, 0.568848f, 0.571289f, - 0.000396f, 0.001226f, 0.001812f, 0.002357f, 0.002796f, 0.003094f, 0.003328f, 0.003763f, 0.003979f, 0.004364f, 0.004642f, 0.005051f, - 0.005489f, 0.005745f, 0.006126f, 0.006611f, 0.007004f, 0.007473f, 0.007771f, 0.008293f, 0.008919f, 0.009392f, 0.009941f, 0.010483f, - 0.011169f, 0.011765f, 0.012436f, 0.013344f, 0.014030f, 0.014908f, 0.015778f, 0.016769f, 0.017838f, 0.018997f, 0.020279f, 0.021622f, - 0.023056f, 0.024704f, 0.026474f, 0.028580f, 0.030579f, 0.033051f, 0.035706f, 0.038605f, 0.041840f, 0.045380f, 0.049500f, 0.053986f, - 0.058685f, 0.063843f, 0.069885f, 0.076050f, 0.083191f, 0.090576f, 0.098511f, 0.107056f, 0.115479f, 0.125122f, 0.491211f, 0.541504f, - 0.552734f, 0.557617f, 0.560547f, 0.562012f, 0.000559f, 0.001152f, 0.001668f, 0.001955f, 0.002234f, 0.002550f, 0.002821f, 0.003057f, - 0.003296f, 0.003635f, 0.003948f, 0.004189f, 0.004448f, 0.004761f, 0.005077f, 0.005417f, 0.005699f, 0.006142f, 0.006458f, 0.006844f, - 0.007271f, 0.007717f, 0.008156f, 0.008675f, 0.009132f, 0.009590f, 0.010277f, 0.010864f, 0.011482f, 0.012131f, 0.012901f, 0.013741f, - 0.014595f, 0.015549f, 0.016525f, 0.017563f, 0.018799f, 0.020111f, 0.021484f, 0.023087f, 0.024765f, 0.026840f, 0.028992f, 0.031403f, - 0.034119f, 0.037323f, 0.040680f, 0.044464f, 0.048584f, 0.053345f, 0.058838f, 0.064514f, 0.071045f, 0.078247f, 0.085571f, 0.093567f, - 0.101685f, 0.111023f, 0.477539f, 0.531738f, 0.542969f, 0.548340f, 0.552246f, 0.553711f, 0.000459f, 0.000939f, 0.001184f, 0.001600f, - 0.001761f, 0.002144f, 0.002258f, 0.002546f, 0.002708f, 0.002922f, 0.003157f, 0.003414f, 0.003588f, 0.003918f, 0.004154f, 0.004387f, - 0.004662f, 0.004993f, 0.005249f, 0.005566f, 0.005867f, 0.006252f, 0.006573f, 0.007061f, 0.007408f, 0.007858f, 0.008270f, 0.008713f, - 0.009361f, 0.009911f, 0.010513f, 0.011047f, 0.011841f, 0.012566f, 0.013252f, 0.014175f, 0.015182f, 0.016220f, 0.017258f, 0.018524f, - 0.019882f, 0.021454f, 0.023132f, 0.025146f, 0.027405f, 0.029877f, 0.032745f, 0.035919f, 0.039642f, 0.043823f, 0.048492f, 0.053619f, - 0.059235f, 0.065735f, 0.072693f, 0.080383f, 0.088867f, 0.097412f, 0.466309f, 0.520508f, 0.533691f, 0.539062f, 0.542480f, 0.543945f, - 0.000369f, 0.000915f, 0.001124f, 0.001297f, 0.001534f, 0.001741f, 0.001833f, 0.002111f, 0.002272f, 0.002369f, 0.002516f, 0.002766f, - 0.002920f, 0.003162f, 0.003317f, 0.003551f, 0.003723f, 0.003941f, 0.004211f, 0.004425f, 0.004757f, 0.004993f, 0.005306f, 0.005581f, - 0.005859f, 0.006203f, 0.006592f, 0.007015f, 0.007450f, 0.007828f, 0.008377f, 0.008797f, 0.009361f, 0.009895f, 0.010582f, 0.011322f, - 0.012016f, 0.012772f, 0.013687f, 0.014748f, 0.015778f, 0.016907f, 0.018326f, 0.019821f, 0.021622f, 0.023483f, 0.025742f, 0.028473f, - 0.031525f, 0.034943f, 0.038910f, 0.043457f, 0.048645f, 0.054749f, 0.061279f, 0.068420f, 0.076111f, 0.084778f, 0.453613f, 0.510742f, - 0.523926f, 0.529785f, 0.533203f, 0.536133f, 0.000186f, 0.000582f, 0.000925f, 0.001026f, 0.001228f, 0.001351f, 0.001470f, 0.001606f, - 0.001765f, 0.001908f, 0.001999f, 0.002104f, 0.002281f, 0.002476f, 0.002659f, 0.002766f, 0.002911f, 0.003040f, 0.003344f, 0.003475f, - 0.003683f, 0.003922f, 0.004185f, 0.004417f, 0.004673f, 0.004890f, 0.005123f, 0.005440f, 0.005817f, 0.006126f, 0.006481f, 0.006859f, - 0.007275f, 0.007740f, 0.008202f, 0.008728f, 0.009315f, 0.009972f, 0.010597f, 0.011391f, 0.012268f, 0.013252f, 0.014221f, 0.015388f, - 0.016724f, 0.018265f, 0.020004f, 0.022049f, 0.024445f, 0.027206f, 0.030762f, 0.034424f, 0.038971f, 0.044220f, 0.050262f, 0.056976f, - 0.064575f, 0.072083f, 0.441650f, 0.500488f, 0.514160f, 0.520020f, 0.524414f, 0.526855f, 0.000194f, 0.000467f, 0.000775f, 0.000911f, - 0.000994f, 0.001081f, 0.001221f, 0.001204f, 0.001368f, 0.001479f, 0.001582f, 0.001707f, 0.001801f, 0.001921f, 0.001993f, 0.002146f, - 0.002245f, 0.002398f, 0.002531f, 0.002674f, 0.002871f, 0.003033f, 0.003172f, 0.003374f, 0.003519f, 0.003742f, 0.003963f, 0.004158f, - 0.004448f, 0.004650f, 0.005032f, 0.005230f, 0.005550f, 0.005932f, 0.006241f, 0.006634f, 0.007088f, 0.007572f, 0.008110f, 0.008636f, - 0.009323f, 0.010071f, 0.010834f, 0.011757f, 0.012779f, 0.013863f, 0.015190f, 0.016769f, 0.018555f, 0.020706f, 0.023331f, 0.026352f, - 0.030182f, 0.034760f, 0.040039f, 0.046356f, 0.053406f, 0.060638f, 0.427979f, 0.489502f, 0.504883f, 0.511719f, 0.515137f, 0.518066f, - 0.000339f, 0.000388f, 0.000559f, 0.000617f, 0.000667f, 0.000795f, 0.000853f, 0.000938f, 0.000972f, 0.001079f, 0.001217f, 0.001274f, - 0.001369f, 0.001480f, 0.001536f, 0.001581f, 0.001711f, 0.001804f, 0.001900f, 0.002047f, 0.002129f, 0.002245f, 0.002394f, 0.002493f, - 0.002645f, 0.002773f, 0.002974f, 0.003124f, 0.003307f, 0.003559f, 0.003757f, 0.003893f, 0.004169f, 0.004353f, 0.004684f, 0.004963f, - 0.005272f, 0.005615f, 0.005981f, 0.006420f, 0.006878f, 0.007378f, 0.008080f, 0.008682f, 0.009438f, 0.010239f, 0.011299f, 0.012459f, - 0.013809f, 0.015305f, 0.017212f, 0.019501f, 0.022583f, 0.026245f, 0.030838f, 0.036255f, 0.042938f, 0.049988f, 0.416504f, 0.479492f, - 0.495361f, 0.501465f, 0.505859f, 0.508789f, 0.000148f, 0.000349f, 0.000414f, 0.000480f, 0.000554f, 0.000575f, 0.000675f, 0.000641f, - 0.000743f, 0.000809f, 0.000882f, 0.000919f, 0.000967f, 0.001019f, 0.001122f, 0.001156f, 0.001264f, 0.001322f, 0.001392f, 0.001431f, - 0.001529f, 0.001625f, 0.001735f, 0.001802f, 0.001912f, 0.002007f, 0.002131f, 0.002237f, 0.002338f, 0.002525f, 0.002638f, 0.002850f, - 0.002962f, 0.003130f, 0.003347f, 0.003536f, 0.003784f, 0.004063f, 0.004364f, 0.004623f, 0.004929f, 0.005314f, 0.005714f, 0.006191f, - 0.006760f, 0.007385f, 0.008080f, 0.008919f, 0.009933f, 0.011078f, 0.012390f, 0.014130f, 0.016251f, 0.019012f, 0.022720f, 0.027496f, - 0.033234f, 0.040192f, 0.403320f, 0.468994f, 0.485352f, 0.491943f, 0.497070f, 0.500000f, 0.000093f, 0.000191f, 0.000299f, 0.000284f, - 0.000367f, 0.000453f, 0.000420f, 0.000467f, 0.000519f, 0.000611f, 0.000607f, 0.000626f, 0.000647f, 0.000722f, 0.000741f, 0.000815f, - 0.000829f, 0.000910f, 0.000967f, 0.001023f, 0.001076f, 0.001138f, 0.001197f, 0.001260f, 0.001334f, 0.001393f, 0.001490f, 0.001562f, - 0.001633f, 0.001772f, 0.001831f, 0.001949f, 0.002056f, 0.002167f, 0.002312f, 0.002472f, 0.002607f, 0.002781f, 0.002972f, 0.003145f, - 0.003387f, 0.003647f, 0.003941f, 0.004253f, 0.004604f, 0.005051f, 0.005558f, 0.006165f, 0.006836f, 0.007660f, 0.008652f, 0.009796f, - 0.011284f, 0.013260f, 0.015945f, 0.019608f, 0.024734f, 0.031082f, 0.390625f, 0.459229f, 0.475586f, 0.482910f, 0.488037f, 0.490723f, - 0.000132f, 0.000208f, 0.000217f, 0.000221f, 0.000267f, 0.000272f, 0.000277f, 0.000320f, 0.000356f, 0.000372f, 0.000372f, 0.000446f, - 0.000436f, 0.000487f, 0.000514f, 0.000531f, 0.000587f, 0.000601f, 0.000629f, 0.000658f, 0.000707f, 0.000736f, 0.000784f, 0.000816f, - 0.000880f, 0.000909f, 0.000978f, 0.001035f, 0.001084f, 0.001135f, 0.001200f, 0.001278f, 0.001357f, 0.001429f, 0.001516f, 0.001588f, - 0.001724f, 0.001802f, 0.001949f, 0.002085f, 0.002230f, 0.002373f, 0.002554f, 0.002743f, 0.003000f, 0.003300f, 0.003611f, 0.003963f, - 0.004425f, 0.004967f, 0.005630f, 0.006424f, 0.007462f, 0.008812f, 0.010551f, 0.013184f, 0.017258f, 0.022980f, 0.377686f, 0.448242f, - 0.465820f, 0.474121f, 0.478760f, 0.481934f, 0.000041f, 0.000149f, 0.000126f, 0.000128f, 0.000158f, 0.000196f, 0.000174f, 0.000206f, - 0.000216f, 0.000223f, 0.000231f, 0.000244f, 0.000276f, 0.000291f, 0.000312f, 0.000326f, 0.000338f, 0.000374f, 0.000387f, 0.000423f, - 0.000430f, 0.000447f, 0.000471f, 0.000509f, 0.000538f, 0.000583f, 0.000591f, 0.000613f, 0.000659f, 0.000688f, 0.000743f, 0.000779f, - 0.000833f, 0.000865f, 0.000924f, 0.000966f, 0.001033f, 0.001106f, 0.001186f, 0.001245f, 0.001336f, 0.001453f, 0.001559f, 0.001685f, - 0.001807f, 0.001980f, 0.002207f, 0.002417f, 0.002689f, 0.003027f, 0.003418f, 0.003933f, 0.004604f, 0.005482f, 0.006641f, 0.008263f, - 0.011017f, 0.015778f, 0.364746f, 0.437256f, 0.456055f, 0.463623f, 0.469238f, 0.472656f, 0.000100f, 0.000089f, 0.000085f, 0.000081f, - 0.000101f, 0.000096f, 0.000116f, 0.000116f, 0.000119f, 0.000126f, 0.000141f, 0.000157f, 0.000149f, 0.000158f, 0.000179f, 0.000176f, - 0.000195f, 0.000206f, 0.000216f, 0.000222f, 0.000240f, 0.000246f, 0.000269f, 0.000279f, 0.000303f, 0.000320f, 0.000333f, 0.000345f, - 0.000365f, 0.000379f, 0.000409f, 0.000434f, 0.000453f, 0.000477f, 0.000511f, 0.000541f, 0.000569f, 0.000608f, 0.000656f, 0.000689f, - 0.000738f, 0.000795f, 0.000867f, 0.000918f, 0.001005f, 0.001087f, 0.001189f, 0.001312f, 0.001465f, 0.001656f, 0.001873f, 0.002171f, - 0.002546f, 0.003056f, 0.003767f, 0.004765f, 0.006390f, 0.009811f, 0.353516f, 0.426758f, 0.446045f, 0.455078f, 0.459717f, 0.464111f, - 0.000084f, 0.000059f, 0.000050f, 0.000049f, 0.000049f, 0.000047f, 0.000052f, 0.000058f, 0.000061f, 0.000075f, 0.000065f, 0.000066f, - 0.000080f, 0.000071f, 0.000076f, 0.000082f, 0.000092f, 0.000102f, 0.000100f, 0.000105f, 0.000110f, 0.000115f, 0.000121f, 0.000133f, - 0.000140f, 0.000146f, 0.000152f, 0.000164f, 0.000177f, 0.000185f, 0.000192f, 0.000202f, 0.000213f, 0.000224f, 0.000241f, 0.000252f, - 0.000268f, 0.000283f, 0.000310f, 0.000328f, 0.000348f, 0.000374f, 0.000406f, 0.000431f, 0.000470f, 0.000515f, 0.000560f, 0.000614f, - 0.000688f, 0.000771f, 0.000884f, 0.001019f, 0.001202f, 0.001466f, 0.001827f, 0.002369f, 0.003269f, 0.005184f, 0.341797f, 0.416016f, - 0.435791f, 0.445557f, 0.450928f, 0.455078f, 0.000062f, 0.000042f, 0.000035f, 0.000030f, 0.000028f, 0.000026f, 0.000024f, 0.000023f, - 0.000023f, 0.000023f, 0.000023f, 0.000030f, 0.000024f, 0.000024f, 0.000031f, 0.000034f, 0.000035f, 0.000037f, 0.000039f, 0.000040f, - 0.000043f, 0.000048f, 0.000050f, 0.000046f, 0.000051f, 0.000057f, 0.000059f, 0.000058f, 0.000063f, 0.000068f, 0.000070f, 0.000077f, - 0.000082f, 0.000082f, 0.000086f, 0.000093f, 0.000100f, 0.000106f, 0.000114f, 0.000120f, 0.000131f, 0.000136f, 0.000145f, 0.000161f, - 0.000171f, 0.000186f, 0.000204f, 0.000222f, 0.000251f, 0.000281f, 0.000318f, 0.000364f, 0.000430f, 0.000530f, 0.000672f, 0.000902f, - 0.001316f, 0.002153f, 0.329346f, 0.406006f, 0.426758f, 0.436035f, 0.441650f, 0.445801f, 0.000031f, 0.000020f, 0.000016f, 0.000014f, - 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, - 0.000008f, 0.000008f, 0.000007f, 0.000007f, 0.000007f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000012f, 0.000014f, - 0.000014f, 0.000013f, 0.000015f, 0.000016f, 0.000018f, 0.000019f, 0.000019f, 0.000020f, 0.000023f, 0.000023f, 0.000025f, 0.000027f, - 0.000028f, 0.000031f, 0.000034f, 0.000034f, 0.000037f, 0.000041f, 0.000045f, 0.000049f, 0.000053f, 0.000059f, 0.000066f, 0.000079f, - 0.000093f, 0.000112f, 0.000144f, 0.000196f, 0.000307f, 0.000598f, 0.317383f, 0.394531f, 0.416504f, 0.425781f, 0.432129f, 0.436279f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000007f, 0.000010f, 0.000026f, 0.305420f, 0.384277f, - 0.405762f, 0.416504f, 0.423340f, 0.427246f, - }, - { - 0.009338f, 0.028412f, 0.047394f, 0.066895f, 0.086548f, 0.105774f, 0.125854f, 0.145142f, 0.165039f, 0.184570f, 0.204712f, 0.223389f, - 0.243164f, 0.261719f, 0.280762f, 0.299805f, 0.318848f, 0.338135f, 0.356445f, 0.374512f, 0.393066f, 0.412354f, 0.429932f, 0.447510f, - 0.465576f, 0.483887f, 0.501465f, 0.518555f, 0.536133f, 0.553711f, 0.570312f, 0.587402f, 0.604492f, 0.621094f, 0.637695f, 0.653809f, - 0.670898f, 0.687012f, 0.702637f, 0.719238f, 0.734863f, 0.750488f, 0.765137f, 0.780762f, 0.795898f, 0.811523f, 0.825684f, 0.840820f, - 0.855469f, 0.870605f, 0.884277f, 0.899414f, 0.913086f, 0.926758f, 0.940918f, 0.955078f, 0.967773f, 0.981934f, 0.966797f, 0.923828f, - 0.894531f, 0.870605f, 0.850586f, 0.832520f, 0.008652f, 0.026825f, 0.045380f, 0.063965f, 0.082703f, 0.101807f, 0.120544f, 0.139282f, - 0.158569f, 0.177246f, 0.196167f, 0.214722f, 0.233521f, 0.252197f, 0.270508f, 0.289062f, 0.307861f, 0.325928f, 0.343994f, 0.361328f, - 0.380615f, 0.397705f, 0.415771f, 0.433594f, 0.450928f, 0.469238f, 0.485596f, 0.502930f, 0.520020f, 0.537598f, 0.553223f, 0.570801f, - 0.586914f, 0.603516f, 0.620117f, 0.636719f, 0.652832f, 0.668945f, 0.683594f, 0.700684f, 0.716309f, 0.731934f, 0.746582f, 0.762695f, - 0.777344f, 0.792480f, 0.807617f, 0.821777f, 0.836914f, 0.850586f, 0.865723f, 0.880371f, 0.894043f, 0.908691f, 0.921875f, 0.937012f, - 0.950195f, 0.963867f, 0.958496f, 0.917969f, 0.889648f, 0.867188f, 0.847656f, 0.830566f, 0.008293f, 0.025620f, 0.042999f, 0.061035f, - 0.079163f, 0.097656f, 0.115112f, 0.132812f, 0.151367f, 0.170532f, 0.188599f, 0.206787f, 0.223999f, 0.242920f, 0.259766f, 0.278809f, - 0.296143f, 0.313232f, 0.331055f, 0.349609f, 0.367432f, 0.385010f, 0.401611f, 0.418945f, 0.435791f, 0.453369f, 0.469727f, 0.487061f, - 0.503906f, 0.520508f, 0.537598f, 0.553223f, 0.569824f, 0.586426f, 0.603027f, 0.619141f, 0.634277f, 0.650879f, 0.666504f, 0.682129f, - 0.697754f, 0.713379f, 0.729004f, 0.743164f, 0.758301f, 0.773926f, 0.789062f, 0.803711f, 0.818359f, 0.833008f, 0.847168f, 0.862305f, - 0.875488f, 0.890137f, 0.903809f, 0.917480f, 0.931152f, 0.945801f, 0.950195f, 0.911133f, 0.884766f, 0.862793f, 0.844238f, 0.828125f, - 0.008148f, 0.024506f, 0.041016f, 0.058289f, 0.075256f, 0.092712f, 0.109802f, 0.127319f, 0.145020f, 0.162964f, 0.180298f, 0.198120f, - 0.215454f, 0.232300f, 0.250244f, 0.267822f, 0.285400f, 0.302734f, 0.318848f, 0.335693f, 0.354004f, 0.371582f, 0.388672f, 0.405029f, - 0.421143f, 0.438965f, 0.455078f, 0.472168f, 0.487549f, 0.503906f, 0.521484f, 0.537598f, 0.551758f, 0.568359f, 0.584961f, 0.601562f, - 0.616211f, 0.633301f, 0.648926f, 0.664062f, 0.679199f, 0.694824f, 0.709473f, 0.725098f, 0.740234f, 0.755371f, 0.770020f, 0.785156f, - 0.799805f, 0.813965f, 0.828125f, 0.842773f, 0.856934f, 0.871582f, 0.884766f, 0.898926f, 0.912598f, 0.926270f, 0.941895f, 0.905273f, - 0.879883f, 0.858887f, 0.840332f, 0.824707f, 0.007523f, 0.023010f, 0.039246f, 0.055542f, 0.072021f, 0.088257f, 0.105347f, 0.122070f, - 0.138306f, 0.155273f, 0.172852f, 0.189575f, 0.206421f, 0.223145f, 0.240112f, 0.256592f, 0.274170f, 0.291260f, 0.307617f, 0.323730f, - 0.340576f, 0.358154f, 0.374023f, 0.390137f, 0.406738f, 0.422852f, 0.440430f, 0.456543f, 0.472656f, 0.489014f, 0.504395f, 0.520996f, - 0.537109f, 0.552734f, 0.568848f, 0.584473f, 0.599121f, 0.615234f, 0.630859f, 0.645020f, 0.660645f, 0.677246f, 0.690918f, 0.706055f, - 0.721680f, 0.736328f, 0.750977f, 0.766113f, 0.780273f, 0.794922f, 0.809570f, 0.823730f, 0.837891f, 0.852539f, 0.866211f, 0.880371f, - 0.894531f, 0.908691f, 0.933105f, 0.898438f, 0.874023f, 0.853516f, 0.836426f, 0.821289f, 0.007339f, 0.021912f, 0.037170f, 0.052948f, - 0.068665f, 0.084412f, 0.100281f, 0.116333f, 0.133057f, 0.149048f, 0.164795f, 0.181274f, 0.198242f, 0.214233f, 0.230835f, 0.247314f, - 0.262939f, 0.279053f, 0.295898f, 0.312500f, 0.328613f, 0.344971f, 0.360107f, 0.376953f, 0.392578f, 0.408691f, 0.425293f, 0.441406f, - 0.456787f, 0.472656f, 0.488525f, 0.504883f, 0.520020f, 0.535156f, 0.550781f, 0.567383f, 0.582520f, 0.597656f, 0.612793f, 0.628418f, - 0.642578f, 0.657715f, 0.673340f, 0.688477f, 0.702637f, 0.718750f, 0.731445f, 0.748047f, 0.762207f, 0.775879f, 0.791016f, 0.804199f, - 0.818848f, 0.833008f, 0.847656f, 0.861328f, 0.875000f, 0.890625f, 0.924316f, 0.891602f, 0.868164f, 0.849121f, 0.832520f, 0.817871f, - 0.006817f, 0.021133f, 0.035675f, 0.050018f, 0.065186f, 0.080505f, 0.096069f, 0.111389f, 0.126831f, 0.142456f, 0.158203f, 0.174194f, - 0.189819f, 0.205444f, 0.220703f, 0.237183f, 0.253174f, 0.268555f, 0.284668f, 0.300049f, 0.316406f, 0.332275f, 0.347656f, 0.363281f, - 0.379395f, 0.394775f, 0.409668f, 0.426270f, 0.442139f, 0.457275f, 0.472656f, 0.488037f, 0.503906f, 0.518555f, 0.534668f, 0.548828f, - 0.564941f, 0.579590f, 0.595215f, 0.610352f, 0.625000f, 0.640137f, 0.654785f, 0.669434f, 0.685059f, 0.699707f, 0.713379f, 0.728027f, - 0.742676f, 0.758301f, 0.770996f, 0.786621f, 0.799316f, 0.813965f, 0.828613f, 0.842285f, 0.856445f, 0.871094f, 0.915527f, 0.884766f, - 0.862305f, 0.843750f, 0.827637f, 0.813965f, 0.006611f, 0.020111f, 0.033752f, 0.047974f, 0.062378f, 0.076843f, 0.091431f, 0.106262f, - 0.120911f, 0.136230f, 0.151123f, 0.166382f, 0.181396f, 0.196899f, 0.211670f, 0.227295f, 0.242554f, 0.257812f, 0.272705f, 0.288086f, - 0.304199f, 0.318848f, 0.334473f, 0.349609f, 0.365967f, 0.379883f, 0.395996f, 0.410889f, 0.426270f, 0.441895f, 0.457764f, 0.472412f, - 0.487061f, 0.502930f, 0.517090f, 0.532227f, 0.547363f, 0.563477f, 0.577637f, 0.592285f, 0.606934f, 0.621582f, 0.636230f, 0.651367f, - 0.665039f, 0.679688f, 0.694336f, 0.709473f, 0.724121f, 0.738770f, 0.752930f, 0.767578f, 0.780762f, 0.795410f, 0.809082f, 0.823242f, - 0.837891f, 0.852539f, 0.906250f, 0.877441f, 0.855957f, 0.838379f, 0.823242f, 0.809570f, 0.006153f, 0.019150f, 0.031952f, 0.045624f, - 0.059326f, 0.073303f, 0.087158f, 0.101562f, 0.115540f, 0.129395f, 0.144653f, 0.159180f, 0.173584f, 0.187866f, 0.203613f, 0.217651f, - 0.232300f, 0.247559f, 0.262207f, 0.277344f, 0.292969f, 0.307617f, 0.322021f, 0.336914f, 0.352051f, 0.367188f, 0.381592f, 0.396729f, - 0.411377f, 0.427002f, 0.440918f, 0.456787f, 0.471436f, 0.486572f, 0.500977f, 0.514648f, 0.530273f, 0.545410f, 0.560059f, 0.574219f, - 0.589355f, 0.604004f, 0.618164f, 0.632324f, 0.647461f, 0.661133f, 0.676270f, 0.691406f, 0.705078f, 0.719727f, 0.733887f, 0.748047f, - 0.763184f, 0.777344f, 0.791016f, 0.805176f, 0.819336f, 0.833496f, 0.896973f, 0.870117f, 0.849609f, 0.833008f, 0.818359f, 0.805176f, - 0.005947f, 0.018311f, 0.030731f, 0.043243f, 0.056732f, 0.069580f, 0.083435f, 0.096558f, 0.110474f, 0.123962f, 0.137695f, 0.152100f, - 0.166016f, 0.180054f, 0.194092f, 0.208862f, 0.222656f, 0.236816f, 0.251465f, 0.266113f, 0.281250f, 0.294922f, 0.309814f, 0.324219f, - 0.338623f, 0.352783f, 0.368164f, 0.382568f, 0.397461f, 0.411377f, 0.426025f, 0.441162f, 0.455078f, 0.469971f, 0.484131f, 0.499268f, - 0.513672f, 0.528320f, 0.542969f, 0.557129f, 0.571289f, 0.585449f, 0.599609f, 0.614258f, 0.628418f, 0.643066f, 0.657227f, 0.671875f, - 0.686523f, 0.700195f, 0.714355f, 0.729004f, 0.743164f, 0.756836f, 0.770996f, 0.785645f, 0.800293f, 0.814453f, 0.888184f, 0.862305f, - 0.843262f, 0.827148f, 0.813477f, 0.800781f, 0.005646f, 0.017136f, 0.029388f, 0.041534f, 0.053802f, 0.066162f, 0.078979f, 0.092285f, - 0.104980f, 0.118408f, 0.130981f, 0.144897f, 0.158203f, 0.172363f, 0.185547f, 0.199951f, 0.213501f, 0.226440f, 0.240356f, 0.254883f, - 0.269287f, 0.283691f, 0.297607f, 0.311279f, 0.325439f, 0.339600f, 0.353760f, 0.368408f, 0.382812f, 0.396973f, 0.410645f, 0.425049f, - 0.439697f, 0.454102f, 0.468262f, 0.482178f, 0.496094f, 0.510742f, 0.524902f, 0.539551f, 0.554199f, 0.568359f, 0.582031f, 0.596191f, - 0.610352f, 0.624023f, 0.639160f, 0.652832f, 0.667969f, 0.681152f, 0.696289f, 0.709961f, 0.723633f, 0.738770f, 0.752441f, 0.765625f, - 0.780273f, 0.794922f, 0.878418f, 0.855469f, 0.836914f, 0.821289f, 0.808105f, 0.796387f, 0.005478f, 0.016174f, 0.027740f, 0.038849f, - 0.051270f, 0.063293f, 0.075317f, 0.087402f, 0.099854f, 0.112793f, 0.125366f, 0.138184f, 0.151001f, 0.164307f, 0.177734f, 0.190918f, - 0.204102f, 0.217529f, 0.231079f, 0.244141f, 0.257324f, 0.271240f, 0.284668f, 0.299072f, 0.312744f, 0.326660f, 0.339600f, 0.354004f, - 0.368408f, 0.382324f, 0.395264f, 0.410156f, 0.423096f, 0.437500f, 0.452148f, 0.465332f, 0.480469f, 0.493408f, 0.507812f, 0.521484f, - 0.535645f, 0.549316f, 0.563477f, 0.578125f, 0.592285f, 0.605957f, 0.620605f, 0.634766f, 0.647949f, 0.662109f, 0.676758f, 0.691406f, - 0.705078f, 0.718750f, 0.732910f, 0.747559f, 0.762207f, 0.777344f, 0.869141f, 0.847656f, 0.830078f, 0.815430f, 0.802734f, 0.791504f, - 0.005005f, 0.015762f, 0.026657f, 0.037384f, 0.048218f, 0.059998f, 0.071594f, 0.083618f, 0.095215f, 0.107666f, 0.119141f, 0.131958f, - 0.144043f, 0.156128f, 0.169800f, 0.182129f, 0.194824f, 0.207031f, 0.219849f, 0.233032f, 0.247559f, 0.260010f, 0.272949f, 0.286133f, - 0.300293f, 0.313477f, 0.326172f, 0.339844f, 0.353516f, 0.367188f, 0.381592f, 0.394531f, 0.407959f, 0.422363f, 0.436279f, 0.449463f, - 0.462891f, 0.477539f, 0.490723f, 0.504395f, 0.518066f, 0.532227f, 0.545898f, 0.560059f, 0.574219f, 0.586914f, 0.602051f, 0.616211f, - 0.629395f, 0.644531f, 0.657227f, 0.671875f, 0.685547f, 0.699707f, 0.713867f, 0.728516f, 0.742676f, 0.756836f, 0.859375f, 0.840332f, - 0.823730f, 0.809082f, 0.797363f, 0.786621f, 0.004894f, 0.014786f, 0.025269f, 0.035614f, 0.045990f, 0.057129f, 0.068420f, 0.079224f, - 0.090698f, 0.102112f, 0.113708f, 0.125610f, 0.137817f, 0.149536f, 0.161377f, 0.174316f, 0.185791f, 0.198486f, 0.211670f, 0.223389f, - 0.236816f, 0.249512f, 0.261230f, 0.274414f, 0.287598f, 0.300537f, 0.313232f, 0.326904f, 0.340576f, 0.353027f, 0.366211f, 0.379883f, - 0.393066f, 0.406006f, 0.419678f, 0.433350f, 0.446289f, 0.460205f, 0.473633f, 0.487305f, 0.500977f, 0.515137f, 0.528320f, 0.542480f, - 0.554688f, 0.569824f, 0.583008f, 0.597656f, 0.610840f, 0.625488f, 0.638672f, 0.652832f, 0.666504f, 0.681152f, 0.694824f, 0.708984f, - 0.723145f, 0.737793f, 0.850098f, 0.833008f, 0.817383f, 0.802734f, 0.791992f, 0.780762f, 0.004536f, 0.014160f, 0.023972f, 0.033630f, - 0.043823f, 0.053955f, 0.064697f, 0.075195f, 0.086365f, 0.096802f, 0.108276f, 0.119751f, 0.130493f, 0.142212f, 0.153687f, 0.165405f, - 0.177246f, 0.189331f, 0.201538f, 0.213501f, 0.225464f, 0.237915f, 0.250244f, 0.262939f, 0.274902f, 0.288086f, 0.300781f, 0.312988f, - 0.326172f, 0.339600f, 0.352051f, 0.365479f, 0.377930f, 0.390625f, 0.403564f, 0.417480f, 0.430420f, 0.444092f, 0.457520f, 0.470215f, - 0.483643f, 0.497559f, 0.510742f, 0.524414f, 0.537598f, 0.551270f, 0.564941f, 0.579102f, 0.592285f, 0.605957f, 0.619629f, 0.633789f, - 0.647949f, 0.661621f, 0.675293f, 0.689453f, 0.704102f, 0.718262f, 0.840332f, 0.825195f, 0.809570f, 0.797363f, 0.786133f, 0.776367f, - 0.004433f, 0.013138f, 0.022720f, 0.032013f, 0.041199f, 0.051147f, 0.061462f, 0.071716f, 0.082336f, 0.091919f, 0.102722f, 0.113586f, - 0.124390f, 0.135010f, 0.145996f, 0.157837f, 0.168823f, 0.180054f, 0.192383f, 0.203491f, 0.215332f, 0.227417f, 0.239502f, 0.251221f, - 0.263672f, 0.275635f, 0.287842f, 0.300537f, 0.312500f, 0.324707f, 0.338135f, 0.350342f, 0.363037f, 0.375977f, 0.388672f, 0.401611f, - 0.413818f, 0.427246f, 0.440186f, 0.453613f, 0.466064f, 0.479736f, 0.492920f, 0.506836f, 0.519531f, 0.533203f, 0.546875f, 0.560059f, - 0.573242f, 0.587402f, 0.600098f, 0.614746f, 0.628418f, 0.642578f, 0.657227f, 0.670898f, 0.685059f, 0.699707f, 0.830566f, 0.816406f, - 0.802734f, 0.791016f, 0.780273f, 0.770996f, 0.004372f, 0.012619f, 0.021393f, 0.030350f, 0.039276f, 0.048523f, 0.058289f, 0.067505f, - 0.077393f, 0.087585f, 0.097290f, 0.107727f, 0.118225f, 0.128296f, 0.138550f, 0.149414f, 0.160278f, 0.171631f, 0.182739f, 0.193359f, - 0.205200f, 0.216187f, 0.228027f, 0.240234f, 0.251465f, 0.263428f, 0.275146f, 0.287598f, 0.298828f, 0.311523f, 0.323242f, 0.336182f, - 0.348633f, 0.360107f, 0.372803f, 0.385986f, 0.398682f, 0.411621f, 0.424072f, 0.436523f, 0.449951f, 0.462891f, 0.475098f, 0.488525f, - 0.501953f, 0.514648f, 0.527344f, 0.541992f, 0.555176f, 0.569336f, 0.582031f, 0.596191f, 0.609863f, 0.623047f, 0.637695f, 0.651855f, - 0.665527f, 0.679688f, 0.821289f, 0.808105f, 0.795410f, 0.784180f, 0.774902f, 0.765137f, 0.003937f, 0.012169f, 0.020477f, 0.028641f, - 0.037781f, 0.046448f, 0.055481f, 0.064209f, 0.073181f, 0.082458f, 0.092651f, 0.101990f, 0.111572f, 0.121948f, 0.132202f, 0.142212f, - 0.151978f, 0.162720f, 0.173340f, 0.184326f, 0.195312f, 0.206055f, 0.217163f, 0.228516f, 0.239990f, 0.250977f, 0.262695f, 0.274658f, - 0.285889f, 0.297363f, 0.308838f, 0.321045f, 0.333496f, 0.345459f, 0.357422f, 0.370117f, 0.382324f, 0.395020f, 0.407227f, 0.419922f, - 0.432617f, 0.444336f, 0.458008f, 0.470703f, 0.483398f, 0.497559f, 0.510254f, 0.522949f, 0.536133f, 0.550293f, 0.562988f, 0.577637f, - 0.590820f, 0.603516f, 0.618164f, 0.632324f, 0.645508f, 0.660645f, 0.811035f, 0.800293f, 0.788086f, 0.777832f, 0.768555f, 0.760254f, - 0.003868f, 0.011368f, 0.019257f, 0.027512f, 0.035431f, 0.043274f, 0.051880f, 0.060852f, 0.069214f, 0.078003f, 0.087524f, 0.096924f, - 0.105896f, 0.115112f, 0.124817f, 0.134766f, 0.144409f, 0.154663f, 0.164673f, 0.175415f, 0.184814f, 0.196289f, 0.206299f, 0.216797f, - 0.228394f, 0.239380f, 0.250244f, 0.260986f, 0.273193f, 0.284424f, 0.295410f, 0.307373f, 0.319092f, 0.331299f, 0.342285f, 0.354248f, - 0.366455f, 0.378662f, 0.390869f, 0.403809f, 0.415771f, 0.427734f, 0.440430f, 0.453369f, 0.466309f, 0.479736f, 0.492188f, 0.504883f, - 0.518066f, 0.531250f, 0.544922f, 0.558105f, 0.571777f, 0.584473f, 0.598633f, 0.612305f, 0.626465f, 0.641602f, 0.801758f, 0.792480f, - 0.781738f, 0.770508f, 0.761230f, 0.753906f, 0.003616f, 0.010872f, 0.018387f, 0.026077f, 0.033875f, 0.041351f, 0.049591f, 0.057434f, - 0.065674f, 0.073669f, 0.082153f, 0.091064f, 0.100098f, 0.109009f, 0.117981f, 0.127563f, 0.137207f, 0.146362f, 0.156494f, 0.165894f, - 0.176025f, 0.186157f, 0.196655f, 0.206421f, 0.216919f, 0.227539f, 0.237915f, 0.249268f, 0.260254f, 0.270752f, 0.282471f, 0.293945f, - 0.305176f, 0.316406f, 0.328125f, 0.338867f, 0.350342f, 0.361816f, 0.375244f, 0.387207f, 0.398926f, 0.411133f, 0.423584f, 0.436523f, - 0.448730f, 0.461182f, 0.474121f, 0.485840f, 0.499756f, 0.513672f, 0.525391f, 0.539062f, 0.552734f, 0.565918f, 0.580566f, 0.593750f, - 0.608398f, 0.621094f, 0.790527f, 0.783691f, 0.773926f, 0.764160f, 0.755859f, 0.747559f, 0.003450f, 0.010429f, 0.017487f, 0.024445f, - 0.031860f, 0.039581f, 0.046631f, 0.054718f, 0.061951f, 0.070251f, 0.078003f, 0.086121f, 0.094910f, 0.102905f, 0.111572f, 0.120300f, - 0.129761f, 0.138428f, 0.147217f, 0.156982f, 0.166992f, 0.176147f, 0.186157f, 0.196045f, 0.206299f, 0.216187f, 0.226318f, 0.236938f, - 0.247437f, 0.258301f, 0.268311f, 0.279785f, 0.290527f, 0.301758f, 0.312744f, 0.324219f, 0.335449f, 0.346680f, 0.359131f, 0.370605f, - 0.382812f, 0.394531f, 0.406982f, 0.419189f, 0.430908f, 0.443604f, 0.456055f, 0.468506f, 0.481445f, 0.494873f, 0.506836f, 0.520996f, - 0.534180f, 0.547363f, 0.561035f, 0.573730f, 0.588379f, 0.601074f, 0.780762f, 0.775879f, 0.766602f, 0.757324f, 0.748535f, 0.741699f, - 0.003281f, 0.009811f, 0.016174f, 0.023438f, 0.030060f, 0.037109f, 0.044464f, 0.051239f, 0.058441f, 0.066345f, 0.073792f, 0.081238f, - 0.089539f, 0.097229f, 0.105286f, 0.113647f, 0.122498f, 0.130615f, 0.139526f, 0.148438f, 0.157837f, 0.166626f, 0.176636f, 0.185547f, - 0.195312f, 0.204956f, 0.215088f, 0.224976f, 0.234863f, 0.245239f, 0.255859f, 0.266113f, 0.276367f, 0.287354f, 0.298096f, 0.309326f, - 0.320801f, 0.331787f, 0.343018f, 0.355225f, 0.366211f, 0.378418f, 0.389893f, 0.401611f, 0.413574f, 0.425781f, 0.438721f, 0.451416f, - 0.463135f, 0.476074f, 0.489014f, 0.501465f, 0.514648f, 0.528809f, 0.541992f, 0.554688f, 0.568848f, 0.582520f, 0.770508f, 0.767090f, - 0.758789f, 0.750488f, 0.743164f, 0.735352f, 0.002901f, 0.009422f, 0.015488f, 0.021729f, 0.028290f, 0.035278f, 0.041321f, 0.048523f, - 0.055420f, 0.062195f, 0.069336f, 0.076477f, 0.084412f, 0.091858f, 0.099609f, 0.107361f, 0.115112f, 0.123535f, 0.131592f, 0.140137f, - 0.148438f, 0.157715f, 0.166382f, 0.174927f, 0.184692f, 0.193970f, 0.203369f, 0.212646f, 0.222656f, 0.232910f, 0.242920f, 0.252197f, - 0.263184f, 0.273438f, 0.284180f, 0.294922f, 0.305664f, 0.316895f, 0.327881f, 0.338867f, 0.349854f, 0.361328f, 0.373291f, 0.385254f, - 0.397461f, 0.408691f, 0.420898f, 0.433350f, 0.445801f, 0.458252f, 0.470703f, 0.483154f, 0.496826f, 0.510254f, 0.522461f, 0.535645f, - 0.549805f, 0.562988f, 0.760742f, 0.758789f, 0.750488f, 0.743652f, 0.736328f, 0.729492f, 0.002861f, 0.008606f, 0.014488f, 0.021057f, - 0.026810f, 0.032898f, 0.038879f, 0.045532f, 0.051666f, 0.058319f, 0.065125f, 0.072449f, 0.079224f, 0.086426f, 0.093689f, 0.100830f, - 0.108276f, 0.116089f, 0.123962f, 0.131958f, 0.140625f, 0.148560f, 0.156494f, 0.164795f, 0.174194f, 0.183228f, 0.192017f, 0.201294f, - 0.210815f, 0.220093f, 0.229858f, 0.239746f, 0.249390f, 0.260010f, 0.270508f, 0.280518f, 0.290771f, 0.301758f, 0.312744f, 0.323486f, - 0.334473f, 0.345215f, 0.356934f, 0.368408f, 0.379883f, 0.391846f, 0.403564f, 0.416016f, 0.427490f, 0.439453f, 0.452881f, 0.465332f, - 0.478271f, 0.490234f, 0.503906f, 0.517090f, 0.529785f, 0.543945f, 0.750000f, 0.750000f, 0.743164f, 0.736328f, 0.729492f, 0.723145f, - 0.002977f, 0.008492f, 0.013931f, 0.019745f, 0.024948f, 0.030991f, 0.036804f, 0.042755f, 0.048889f, 0.055267f, 0.061737f, 0.067932f, - 0.074829f, 0.081116f, 0.087646f, 0.095215f, 0.102356f, 0.109436f, 0.116760f, 0.124023f, 0.131714f, 0.139648f, 0.147461f, 0.155762f, - 0.164185f, 0.172485f, 0.181152f, 0.189697f, 0.198730f, 0.208130f, 0.217285f, 0.226685f, 0.236572f, 0.245850f, 0.255859f, 0.265869f, - 0.276367f, 0.286377f, 0.297607f, 0.307861f, 0.318359f, 0.329102f, 0.340576f, 0.351807f, 0.363281f, 0.374023f, 0.386230f, 0.397949f, - 0.409668f, 0.422119f, 0.434082f, 0.446777f, 0.459229f, 0.471924f, 0.484863f, 0.497803f, 0.511230f, 0.525391f, 0.739746f, 0.741211f, - 0.735352f, 0.729004f, 0.722656f, 0.717285f, 0.002441f, 0.007896f, 0.013443f, 0.018402f, 0.023911f, 0.029343f, 0.034454f, 0.040375f, - 0.045868f, 0.051453f, 0.057800f, 0.063721f, 0.070068f, 0.075928f, 0.082520f, 0.089233f, 0.095703f, 0.102478f, 0.109314f, 0.116638f, - 0.123596f, 0.131348f, 0.138550f, 0.145996f, 0.153809f, 0.162109f, 0.170044f, 0.179199f, 0.187866f, 0.196045f, 0.205078f, 0.213745f, - 0.223389f, 0.233032f, 0.242554f, 0.252197f, 0.261963f, 0.271973f, 0.281982f, 0.292236f, 0.303223f, 0.312988f, 0.324463f, 0.335693f, - 0.346191f, 0.357910f, 0.368652f, 0.380371f, 0.391846f, 0.404541f, 0.415527f, 0.428467f, 0.440674f, 0.453369f, 0.466553f, 0.479248f, - 0.491455f, 0.505371f, 0.729492f, 0.732422f, 0.727539f, 0.721191f, 0.716309f, 0.709961f, 0.002457f, 0.007553f, 0.012489f, 0.017548f, - 0.022217f, 0.027405f, 0.032471f, 0.037689f, 0.043060f, 0.048553f, 0.054230f, 0.059631f, 0.065369f, 0.071533f, 0.077393f, 0.083069f, - 0.089417f, 0.096069f, 0.102356f, 0.108398f, 0.115417f, 0.122925f, 0.130127f, 0.137451f, 0.144531f, 0.152100f, 0.160156f, 0.168091f, - 0.176514f, 0.184570f, 0.192871f, 0.201660f, 0.210571f, 0.219238f, 0.229126f, 0.238281f, 0.248413f, 0.257812f, 0.267578f, 0.277588f, - 0.287354f, 0.298096f, 0.308594f, 0.319336f, 0.329590f, 0.340820f, 0.351318f, 0.363770f, 0.375732f, 0.386963f, 0.397949f, 0.409912f, - 0.422363f, 0.434326f, 0.446533f, 0.459473f, 0.473145f, 0.486084f, 0.718750f, 0.723633f, 0.719727f, 0.713867f, 0.708984f, 0.703613f, - 0.002436f, 0.006939f, 0.011612f, 0.016113f, 0.021072f, 0.025497f, 0.030640f, 0.035339f, 0.040222f, 0.045441f, 0.050690f, 0.055725f, - 0.060669f, 0.066589f, 0.072144f, 0.077881f, 0.083740f, 0.089294f, 0.095215f, 0.101501f, 0.108032f, 0.114868f, 0.121643f, 0.128052f, - 0.135010f, 0.142334f, 0.150024f, 0.157349f, 0.164917f, 0.173340f, 0.181274f, 0.189697f, 0.198120f, 0.206909f, 0.215698f, 0.224365f, - 0.234497f, 0.243652f, 0.252930f, 0.262695f, 0.272461f, 0.282471f, 0.292480f, 0.302979f, 0.313721f, 0.324463f, 0.335205f, 0.346436f, - 0.357666f, 0.369141f, 0.380859f, 0.391602f, 0.404541f, 0.416016f, 0.428467f, 0.440918f, 0.454102f, 0.466553f, 0.708496f, 0.715820f, - 0.711426f, 0.706055f, 0.701660f, 0.696777f, 0.002188f, 0.006599f, 0.011032f, 0.015068f, 0.019897f, 0.024048f, 0.028656f, 0.033264f, - 0.037720f, 0.042236f, 0.047028f, 0.051941f, 0.056824f, 0.062012f, 0.067444f, 0.072449f, 0.077942f, 0.083374f, 0.088867f, 0.094727f, - 0.100769f, 0.106750f, 0.112732f, 0.119263f, 0.126099f, 0.133179f, 0.139648f, 0.146729f, 0.154175f, 0.161987f, 0.170044f, 0.177612f, - 0.185791f, 0.194214f, 0.203125f, 0.211670f, 0.220581f, 0.229370f, 0.238770f, 0.248047f, 0.257812f, 0.267822f, 0.277344f, 0.287109f, - 0.297363f, 0.307861f, 0.318848f, 0.329590f, 0.341064f, 0.351562f, 0.363037f, 0.374512f, 0.385498f, 0.397461f, 0.409668f, 0.422363f, - 0.434326f, 0.447021f, 0.697266f, 0.706543f, 0.703125f, 0.698730f, 0.694336f, 0.689941f, 0.002024f, 0.006165f, 0.010399f, 0.014481f, - 0.018555f, 0.022797f, 0.026627f, 0.030869f, 0.035187f, 0.039459f, 0.043732f, 0.047943f, 0.052917f, 0.057434f, 0.062622f, 0.067261f, - 0.071838f, 0.077454f, 0.082581f, 0.087891f, 0.093628f, 0.099182f, 0.105469f, 0.111206f, 0.117126f, 0.123779f, 0.130371f, 0.137085f, - 0.143921f, 0.151001f, 0.158691f, 0.166016f, 0.173950f, 0.181641f, 0.190063f, 0.198120f, 0.206909f, 0.215698f, 0.224976f, 0.233398f, - 0.242798f, 0.252197f, 0.262207f, 0.271973f, 0.281738f, 0.291992f, 0.302734f, 0.313477f, 0.323242f, 0.334229f, 0.345459f, 0.355957f, - 0.368652f, 0.380615f, 0.391602f, 0.403809f, 0.415771f, 0.428467f, 0.686523f, 0.696777f, 0.695312f, 0.691895f, 0.687500f, 0.683105f, - 0.001931f, 0.005970f, 0.009651f, 0.013557f, 0.017136f, 0.021088f, 0.024902f, 0.028748f, 0.032623f, 0.036743f, 0.040833f, 0.044983f, - 0.049591f, 0.053467f, 0.057800f, 0.062500f, 0.066833f, 0.071533f, 0.076538f, 0.081238f, 0.086670f, 0.092224f, 0.097290f, 0.103088f, - 0.108887f, 0.114990f, 0.120972f, 0.127197f, 0.134277f, 0.140503f, 0.147705f, 0.154663f, 0.162231f, 0.169922f, 0.177612f, 0.185303f, - 0.193604f, 0.201904f, 0.210815f, 0.219238f, 0.228516f, 0.237427f, 0.247070f, 0.256592f, 0.265869f, 0.275879f, 0.285645f, 0.295898f, - 0.306396f, 0.317139f, 0.328369f, 0.338623f, 0.350342f, 0.362305f, 0.374023f, 0.385010f, 0.397461f, 0.410156f, 0.675781f, 0.687988f, - 0.687012f, 0.683594f, 0.680664f, 0.676270f, 0.001725f, 0.005436f, 0.009171f, 0.012589f, 0.016190f, 0.019485f, 0.023132f, 0.026978f, - 0.030899f, 0.034180f, 0.037659f, 0.041565f, 0.045074f, 0.049438f, 0.053345f, 0.057739f, 0.061768f, 0.065918f, 0.070679f, 0.075073f, - 0.080078f, 0.084656f, 0.089966f, 0.095215f, 0.100464f, 0.106445f, 0.112000f, 0.117615f, 0.124207f, 0.130737f, 0.136719f, 0.144043f, - 0.151123f, 0.158081f, 0.165405f, 0.173096f, 0.181152f, 0.189087f, 0.197510f, 0.205688f, 0.214600f, 0.223145f, 0.232178f, 0.241699f, - 0.250732f, 0.260254f, 0.270264f, 0.279785f, 0.289795f, 0.300293f, 0.310791f, 0.322510f, 0.333496f, 0.344238f, 0.355713f, 0.367188f, - 0.379395f, 0.392090f, 0.664551f, 0.678711f, 0.678223f, 0.675781f, 0.672852f, 0.669922f, 0.001741f, 0.005077f, 0.008522f, 0.011810f, - 0.014946f, 0.018524f, 0.021332f, 0.024872f, 0.028519f, 0.031799f, 0.034973f, 0.038727f, 0.041992f, 0.045654f, 0.049072f, 0.052856f, - 0.056671f, 0.060638f, 0.064819f, 0.069092f, 0.073425f, 0.078125f, 0.082886f, 0.087280f, 0.092651f, 0.098206f, 0.103638f, 0.109192f, - 0.114563f, 0.120667f, 0.126709f, 0.133057f, 0.139771f, 0.146851f, 0.153931f, 0.160767f, 0.168457f, 0.175903f, 0.183838f, 0.192505f, - 0.200195f, 0.208618f, 0.217407f, 0.226562f, 0.236084f, 0.245239f, 0.254639f, 0.263672f, 0.273926f, 0.283447f, 0.294189f, 0.304932f, - 0.315674f, 0.326172f, 0.337402f, 0.348877f, 0.360107f, 0.373291f, 0.653809f, 0.670410f, 0.669922f, 0.667480f, 0.665527f, 0.662109f, - 0.001639f, 0.004951f, 0.007996f, 0.010857f, 0.013779f, 0.016968f, 0.019974f, 0.023392f, 0.026001f, 0.029373f, 0.032013f, 0.035370f, - 0.038513f, 0.041992f, 0.044586f, 0.048706f, 0.052124f, 0.055634f, 0.059723f, 0.063354f, 0.067444f, 0.071289f, 0.075745f, 0.080444f, - 0.085022f, 0.089722f, 0.095032f, 0.100220f, 0.105347f, 0.111206f, 0.117126f, 0.123108f, 0.129395f, 0.135620f, 0.142090f, 0.148682f, - 0.156372f, 0.163574f, 0.170898f, 0.178711f, 0.186890f, 0.194580f, 0.203613f, 0.211426f, 0.220459f, 0.229492f, 0.238281f, 0.248169f, - 0.257324f, 0.267578f, 0.277832f, 0.287354f, 0.298340f, 0.308350f, 0.319824f, 0.331543f, 0.342041f, 0.354248f, 0.641602f, 0.660645f, - 0.662109f, 0.660645f, 0.658203f, 0.654785f, 0.001569f, 0.004539f, 0.007538f, 0.010368f, 0.013359f, 0.016006f, 0.018539f, 0.021210f, - 0.024384f, 0.026855f, 0.029892f, 0.032471f, 0.035034f, 0.038177f, 0.041199f, 0.044434f, 0.047485f, 0.050781f, 0.054321f, 0.057953f, - 0.061523f, 0.065430f, 0.069275f, 0.073547f, 0.077820f, 0.082092f, 0.086731f, 0.091736f, 0.096985f, 0.101990f, 0.107361f, 0.112549f, - 0.118774f, 0.124878f, 0.131104f, 0.137573f, 0.144409f, 0.150635f, 0.157837f, 0.165283f, 0.173340f, 0.181274f, 0.188599f, 0.197510f, - 0.205933f, 0.214600f, 0.223633f, 0.232056f, 0.241577f, 0.251709f, 0.261230f, 0.270996f, 0.281250f, 0.291260f, 0.302246f, 0.313477f, - 0.323730f, 0.336182f, 0.630859f, 0.651855f, 0.652832f, 0.652344f, 0.650391f, 0.647461f, 0.001558f, 0.004139f, 0.007103f, 0.009560f, - 0.012077f, 0.014313f, 0.016983f, 0.019653f, 0.021988f, 0.024490f, 0.027023f, 0.029526f, 0.031891f, 0.034821f, 0.037903f, 0.040192f, - 0.043457f, 0.046417f, 0.049316f, 0.052795f, 0.055725f, 0.059357f, 0.063354f, 0.066895f, 0.070740f, 0.074890f, 0.078979f, 0.083801f, - 0.088440f, 0.093018f, 0.097961f, 0.103394f, 0.108704f, 0.114563f, 0.120239f, 0.126343f, 0.132690f, 0.139038f, 0.145874f, 0.152710f, - 0.159912f, 0.168091f, 0.175537f, 0.183228f, 0.191650f, 0.199707f, 0.208130f, 0.216797f, 0.226074f, 0.235352f, 0.244507f, 0.254395f, - 0.264404f, 0.274414f, 0.285156f, 0.296631f, 0.307373f, 0.318604f, 0.619141f, 0.643066f, 0.644531f, 0.644043f, 0.642578f, 0.639648f, - 0.001314f, 0.004002f, 0.006603f, 0.009056f, 0.011490f, 0.013184f, 0.015587f, 0.017883f, 0.020157f, 0.022415f, 0.024582f, 0.027206f, - 0.029160f, 0.031677f, 0.034088f, 0.036530f, 0.039337f, 0.042206f, 0.044891f, 0.047729f, 0.050751f, 0.053955f, 0.057312f, 0.060486f, - 0.064148f, 0.068054f, 0.071960f, 0.075867f, 0.079895f, 0.084595f, 0.089172f, 0.094238f, 0.098999f, 0.104492f, 0.109802f, 0.115173f, - 0.121338f, 0.127686f, 0.134033f, 0.140991f, 0.147095f, 0.154541f, 0.161865f, 0.169800f, 0.177368f, 0.185547f, 0.193848f, 0.201904f, - 0.211060f, 0.219116f, 0.229004f, 0.238525f, 0.248047f, 0.257812f, 0.267822f, 0.277832f, 0.289062f, 0.300537f, 0.607910f, 0.633301f, - 0.636230f, 0.635742f, 0.634766f, 0.633301f, 0.001217f, 0.003571f, 0.005947f, 0.008011f, 0.010391f, 0.012207f, 0.014313f, 0.016617f, - 0.018280f, 0.020523f, 0.022537f, 0.024475f, 0.026443f, 0.028778f, 0.030884f, 0.032867f, 0.035553f, 0.037872f, 0.040375f, 0.042938f, - 0.045593f, 0.048431f, 0.051605f, 0.054688f, 0.057953f, 0.061279f, 0.065002f, 0.068665f, 0.072266f, 0.076294f, 0.080872f, 0.085083f, - 0.089783f, 0.094482f, 0.099915f, 0.104736f, 0.110901f, 0.116272f, 0.122314f, 0.128784f, 0.134888f, 0.142090f, 0.148560f, 0.155884f, - 0.163574f, 0.171753f, 0.179077f, 0.187500f, 0.195679f, 0.204346f, 0.213745f, 0.222656f, 0.231812f, 0.241455f, 0.250977f, 0.261230f, - 0.272461f, 0.282959f, 0.596680f, 0.623535f, 0.627441f, 0.627930f, 0.627441f, 0.625000f, 0.001111f, 0.003542f, 0.005569f, 0.007504f, - 0.009338f, 0.011452f, 0.012939f, 0.015030f, 0.016678f, 0.018326f, 0.020203f, 0.022217f, 0.023788f, 0.025604f, 0.027771f, 0.029877f, - 0.031860f, 0.033813f, 0.036102f, 0.038605f, 0.040985f, 0.043579f, 0.046448f, 0.049042f, 0.051849f, 0.055054f, 0.058319f, 0.061615f, - 0.065125f, 0.068909f, 0.072815f, 0.076843f, 0.080872f, 0.085571f, 0.089905f, 0.095398f, 0.100159f, 0.105713f, 0.111206f, 0.116882f, - 0.122925f, 0.129517f, 0.135742f, 0.142822f, 0.149902f, 0.157349f, 0.165161f, 0.172852f, 0.181152f, 0.189331f, 0.198120f, 0.206909f, - 0.215820f, 0.225342f, 0.235474f, 0.245239f, 0.254883f, 0.266602f, 0.584473f, 0.614746f, 0.619141f, 0.619629f, 0.619141f, 0.618164f, - 0.001149f, 0.003147f, 0.004826f, 0.006886f, 0.008629f, 0.010452f, 0.012024f, 0.013359f, 0.015175f, 0.016647f, 0.018143f, 0.019882f, - 0.021332f, 0.023026f, 0.024902f, 0.026550f, 0.028397f, 0.030045f, 0.032318f, 0.034393f, 0.036682f, 0.038910f, 0.041107f, 0.043671f, - 0.046295f, 0.048950f, 0.051819f, 0.054993f, 0.058258f, 0.061523f, 0.065063f, 0.068481f, 0.072510f, 0.076965f, 0.081055f, 0.085510f, - 0.090393f, 0.095093f, 0.100342f, 0.105774f, 0.111694f, 0.117371f, 0.124084f, 0.130371f, 0.136963f, 0.143921f, 0.151245f, 0.159058f, - 0.166626f, 0.174927f, 0.182983f, 0.191650f, 0.200195f, 0.209473f, 0.218750f, 0.228149f, 0.238037f, 0.249146f, 0.572266f, 0.604980f, - 0.609863f, 0.611328f, 0.610352f, 0.611328f, 0.001009f, 0.003059f, 0.004620f, 0.006283f, 0.007881f, 0.009415f, 0.010864f, 0.011940f, - 0.013443f, 0.014847f, 0.016403f, 0.017700f, 0.019012f, 0.020493f, 0.021927f, 0.023697f, 0.025177f, 0.026947f, 0.028732f, 0.030472f, - 0.032654f, 0.034302f, 0.036591f, 0.038757f, 0.041046f, 0.043488f, 0.045837f, 0.048706f, 0.051544f, 0.054810f, 0.057770f, 0.061188f, - 0.064331f, 0.068237f, 0.072083f, 0.076416f, 0.080872f, 0.085388f, 0.090149f, 0.095276f, 0.100403f, 0.105896f, 0.111877f, 0.117798f, - 0.124329f, 0.130859f, 0.138062f, 0.145020f, 0.152710f, 0.160034f, 0.168335f, 0.176514f, 0.185059f, 0.193481f, 0.203125f, 0.212158f, - 0.221924f, 0.232178f, 0.562500f, 0.594727f, 0.601074f, 0.602539f, 0.603516f, 0.602539f, 0.000865f, 0.002674f, 0.004444f, 0.005615f, - 0.007233f, 0.008430f, 0.009827f, 0.010880f, 0.011917f, 0.013206f, 0.014412f, 0.015717f, 0.016876f, 0.018173f, 0.019501f, 0.020950f, - 0.022217f, 0.023773f, 0.025284f, 0.026749f, 0.028610f, 0.030151f, 0.032166f, 0.034149f, 0.036041f, 0.038330f, 0.040558f, 0.042877f, - 0.045532f, 0.048157f, 0.050934f, 0.053894f, 0.056946f, 0.060303f, 0.063843f, 0.067566f, 0.071472f, 0.075806f, 0.080261f, 0.084778f, - 0.089600f, 0.094971f, 0.100220f, 0.105896f, 0.111877f, 0.118103f, 0.125000f, 0.131348f, 0.138550f, 0.146362f, 0.153687f, 0.161987f, - 0.169678f, 0.178223f, 0.187134f, 0.196045f, 0.205811f, 0.215698f, 0.549805f, 0.584961f, 0.592773f, 0.594238f, 0.593750f, 0.595215f, - 0.000951f, 0.002476f, 0.003956f, 0.005062f, 0.006268f, 0.007637f, 0.008888f, 0.009666f, 0.010628f, 0.011810f, 0.012856f, 0.013878f, - 0.014946f, 0.015900f, 0.017227f, 0.018356f, 0.019592f, 0.020889f, 0.022003f, 0.023438f, 0.025101f, 0.026489f, 0.028122f, 0.029739f, - 0.031555f, 0.033295f, 0.035431f, 0.037537f, 0.039795f, 0.041962f, 0.044647f, 0.047302f, 0.049957f, 0.052979f, 0.056122f, 0.059387f, - 0.062927f, 0.066956f, 0.070679f, 0.074951f, 0.079468f, 0.084167f, 0.089294f, 0.094482f, 0.100098f, 0.106018f, 0.112061f, 0.118835f, - 0.125366f, 0.132446f, 0.139893f, 0.147827f, 0.155762f, 0.163574f, 0.172607f, 0.180786f, 0.190063f, 0.199951f, 0.536621f, 0.576172f, - 0.583496f, 0.586914f, 0.587402f, 0.586914f, 0.000788f, 0.002115f, 0.003592f, 0.004780f, 0.005939f, 0.006615f, 0.007740f, 0.008598f, - 0.009514f, 0.010376f, 0.011200f, 0.012138f, 0.013016f, 0.014069f, 0.014977f, 0.015961f, 0.016922f, 0.018036f, 0.019043f, 0.020447f, - 0.021606f, 0.022995f, 0.024323f, 0.025864f, 0.027344f, 0.028946f, 0.030731f, 0.032593f, 0.034515f, 0.036530f, 0.038910f, 0.041016f, - 0.043274f, 0.046021f, 0.048981f, 0.051819f, 0.055176f, 0.058472f, 0.062012f, 0.065857f, 0.069946f, 0.074219f, 0.078796f, 0.083801f, - 0.088806f, 0.094299f, 0.100281f, 0.106018f, 0.112793f, 0.119446f, 0.126343f, 0.133545f, 0.141357f, 0.149292f, 0.157104f, 0.165894f, - 0.174683f, 0.184326f, 0.524902f, 0.566895f, 0.575195f, 0.576660f, 0.579102f, 0.579590f, 0.000661f, 0.001961f, 0.003382f, 0.004311f, - 0.005161f, 0.006062f, 0.006737f, 0.007427f, 0.008286f, 0.008995f, 0.009857f, 0.010368f, 0.011230f, 0.011955f, 0.012833f, 0.013786f, - 0.014565f, 0.015480f, 0.016647f, 0.017578f, 0.018677f, 0.019806f, 0.020950f, 0.022263f, 0.023651f, 0.024994f, 0.026306f, 0.027863f, - 0.029724f, 0.031525f, 0.033325f, 0.035370f, 0.037292f, 0.039673f, 0.042114f, 0.044769f, 0.047546f, 0.050537f, 0.053680f, 0.057098f, - 0.060852f, 0.064514f, 0.069031f, 0.073303f, 0.078064f, 0.083069f, 0.088379f, 0.094238f, 0.100220f, 0.106689f, 0.113342f, 0.120300f, - 0.127563f, 0.135132f, 0.142700f, 0.151245f, 0.160034f, 0.168823f, 0.512695f, 0.557129f, 0.566406f, 0.569824f, 0.569824f, 0.571289f, - 0.000757f, 0.001709f, 0.002844f, 0.003582f, 0.004448f, 0.005192f, 0.005989f, 0.006519f, 0.007038f, 0.007801f, 0.008453f, 0.009071f, - 0.009727f, 0.010391f, 0.011009f, 0.011726f, 0.012650f, 0.013184f, 0.014107f, 0.014977f, 0.015900f, 0.016800f, 0.017776f, 0.018936f, - 0.020172f, 0.021271f, 0.022446f, 0.023697f, 0.025055f, 0.026703f, 0.028397f, 0.030014f, 0.031921f, 0.033905f, 0.035919f, 0.038177f, - 0.040680f, 0.043243f, 0.045898f, 0.049072f, 0.052216f, 0.055725f, 0.059784f, 0.063538f, 0.067688f, 0.072327f, 0.077271f, 0.082764f, - 0.088379f, 0.094299f, 0.100708f, 0.107239f, 0.114136f, 0.121582f, 0.128906f, 0.136963f, 0.145630f, 0.153564f, 0.500977f, 0.547852f, - 0.556641f, 0.561523f, 0.562500f, 0.563965f, 0.000704f, 0.001769f, 0.002542f, 0.003523f, 0.004036f, 0.004562f, 0.005032f, 0.005661f, - 0.006176f, 0.006542f, 0.007072f, 0.007698f, 0.008339f, 0.008827f, 0.009323f, 0.010094f, 0.010757f, 0.011276f, 0.012093f, 0.012733f, - 0.013489f, 0.014488f, 0.015244f, 0.016006f, 0.017151f, 0.017975f, 0.018967f, 0.020142f, 0.021255f, 0.022552f, 0.023880f, 0.025314f, - 0.026840f, 0.028503f, 0.030441f, 0.032166f, 0.034424f, 0.036438f, 0.039001f, 0.041656f, 0.044464f, 0.047455f, 0.050842f, 0.054443f, - 0.058167f, 0.062286f, 0.066956f, 0.071899f, 0.076904f, 0.082458f, 0.088501f, 0.094482f, 0.101196f, 0.108337f, 0.115662f, 0.123352f, - 0.130981f, 0.139282f, 0.489746f, 0.538574f, 0.547852f, 0.551270f, 0.554688f, 0.555176f, 0.000579f, 0.001450f, 0.002396f, 0.002857f, - 0.003454f, 0.004032f, 0.004356f, 0.004791f, 0.005333f, 0.005718f, 0.006130f, 0.006485f, 0.007042f, 0.007473f, 0.007988f, 0.008476f, - 0.008865f, 0.009613f, 0.010086f, 0.010651f, 0.011345f, 0.012047f, 0.012764f, 0.013435f, 0.014282f, 0.015144f, 0.015884f, 0.016846f, - 0.017868f, 0.018814f, 0.020050f, 0.021164f, 0.022507f, 0.023773f, 0.025192f, 0.026978f, 0.028564f, 0.030640f, 0.032623f, 0.034882f, - 0.037231f, 0.039886f, 0.042786f, 0.046143f, 0.049286f, 0.052979f, 0.057098f, 0.061279f, 0.066223f, 0.071167f, 0.076660f, 0.082581f, - 0.088989f, 0.095581f, 0.102661f, 0.109863f, 0.117737f, 0.125488f, 0.476807f, 0.528320f, 0.538574f, 0.543945f, 0.546875f, 0.546875f, - 0.000510f, 0.001428f, 0.002037f, 0.002613f, 0.003086f, 0.003290f, 0.003672f, 0.004108f, 0.004345f, 0.004768f, 0.005035f, 0.005470f, - 0.005959f, 0.006207f, 0.006599f, 0.007095f, 0.007568f, 0.008003f, 0.008377f, 0.008904f, 0.009575f, 0.010010f, 0.010643f, 0.011131f, - 0.011871f, 0.012535f, 0.013199f, 0.014038f, 0.014839f, 0.015640f, 0.016586f, 0.017502f, 0.018585f, 0.019745f, 0.021088f, 0.022354f, - 0.023727f, 0.025253f, 0.026962f, 0.028870f, 0.030762f, 0.033051f, 0.035492f, 0.038177f, 0.041229f, 0.044403f, 0.048004f, 0.051880f, - 0.056213f, 0.060516f, 0.065857f, 0.071045f, 0.077271f, 0.083374f, 0.090027f, 0.096863f, 0.104492f, 0.112183f, 0.463623f, 0.518066f, - 0.529785f, 0.535156f, 0.538086f, 0.540039f, 0.000473f, 0.001222f, 0.001771f, 0.002117f, 0.002323f, 0.002796f, 0.003096f, 0.003355f, - 0.003601f, 0.003975f, 0.004295f, 0.004543f, 0.004833f, 0.005142f, 0.005455f, 0.005848f, 0.006165f, 0.006535f, 0.006947f, 0.007370f, - 0.007809f, 0.008240f, 0.008690f, 0.009216f, 0.009758f, 0.010223f, 0.010925f, 0.011536f, 0.012146f, 0.012833f, 0.013573f, 0.014389f, - 0.015244f, 0.016220f, 0.017120f, 0.018219f, 0.019379f, 0.020599f, 0.021988f, 0.023514f, 0.025131f, 0.027054f, 0.029037f, 0.031311f, - 0.033752f, 0.036591f, 0.039520f, 0.042999f, 0.046661f, 0.050873f, 0.055603f, 0.060333f, 0.066101f, 0.071960f, 0.078491f, 0.084961f, - 0.091797f, 0.099426f, 0.452148f, 0.508301f, 0.520508f, 0.526367f, 0.528809f, 0.530273f, 0.000299f, 0.001057f, 0.001329f, 0.001771f, - 0.001957f, 0.002350f, 0.002483f, 0.002697f, 0.002964f, 0.003181f, 0.003441f, 0.003653f, 0.003904f, 0.004238f, 0.004501f, 0.004738f, - 0.005024f, 0.005390f, 0.005657f, 0.005985f, 0.006279f, 0.006714f, 0.007053f, 0.007507f, 0.007881f, 0.008369f, 0.008774f, 0.009300f, - 0.009888f, 0.010483f, 0.011093f, 0.011627f, 0.012398f, 0.013130f, 0.013855f, 0.014717f, 0.015686f, 0.016739f, 0.017761f, 0.018890f, - 0.020248f, 0.021698f, 0.023376f, 0.025131f, 0.027237f, 0.029556f, 0.032166f, 0.035004f, 0.038208f, 0.041962f, 0.045868f, 0.050507f, - 0.055359f, 0.060852f, 0.066772f, 0.073242f, 0.080017f, 0.087097f, 0.440674f, 0.498047f, 0.511719f, 0.517090f, 0.520508f, 0.522949f, - 0.000427f, 0.001020f, 0.001253f, 0.001431f, 0.001690f, 0.001900f, 0.002018f, 0.002304f, 0.002481f, 0.002569f, 0.002731f, 0.002998f, - 0.003157f, 0.003424f, 0.003592f, 0.003838f, 0.004017f, 0.004253f, 0.004551f, 0.004776f, 0.005100f, 0.005379f, 0.005699f, 0.005932f, - 0.006290f, 0.006630f, 0.007038f, 0.007465f, 0.007927f, 0.008286f, 0.008858f, 0.009293f, 0.009888f, 0.010429f, 0.011086f, 0.011765f, - 0.012482f, 0.013298f, 0.014168f, 0.015068f, 0.016129f, 0.017288f, 0.018585f, 0.019943f, 0.021622f, 0.023361f, 0.025436f, 0.027847f, - 0.030655f, 0.033447f, 0.037079f, 0.041229f, 0.045776f, 0.050568f, 0.056061f, 0.062317f, 0.068726f, 0.075684f, 0.427734f, 0.488525f, - 0.502441f, 0.508789f, 0.513184f, 0.513672f, 0.000255f, 0.000597f, 0.001032f, 0.001150f, 0.001353f, 0.001493f, 0.001608f, 0.001750f, - 0.001933f, 0.002062f, 0.002178f, 0.002302f, 0.002474f, 0.002670f, 0.002872f, 0.002995f, 0.003147f, 0.003298f, 0.003565f, 0.003729f, - 0.003941f, 0.004219f, 0.004436f, 0.004719f, 0.005005f, 0.005230f, 0.005489f, 0.005806f, 0.006191f, 0.006496f, 0.006897f, 0.007267f, - 0.007671f, 0.008179f, 0.008636f, 0.009163f, 0.009766f, 0.010368f, 0.011047f, 0.011810f, 0.012611f, 0.013527f, 0.014519f, 0.015640f, - 0.016800f, 0.018265f, 0.019897f, 0.021698f, 0.023895f, 0.026260f, 0.029175f, 0.032715f, 0.036682f, 0.041168f, 0.045929f, 0.051758f, - 0.057922f, 0.064575f, 0.415771f, 0.478271f, 0.493652f, 0.500000f, 0.503906f, 0.505859f, 0.000255f, 0.000544f, 0.000863f, 0.000994f, - 0.001086f, 0.001183f, 0.001317f, 0.001328f, 0.001491f, 0.001608f, 0.001716f, 0.001851f, 0.001943f, 0.002075f, 0.002161f, 0.002319f, - 0.002426f, 0.002596f, 0.002741f, 0.002884f, 0.003088f, 0.003265f, 0.003391f, 0.003620f, 0.003777f, 0.004005f, 0.004215f, 0.004452f, - 0.004734f, 0.004963f, 0.005341f, 0.005577f, 0.005875f, 0.006271f, 0.006603f, 0.006996f, 0.007450f, 0.007919f, 0.008446f, 0.009003f, - 0.009674f, 0.010338f, 0.011101f, 0.011909f, 0.012917f, 0.013977f, 0.015190f, 0.016495f, 0.018112f, 0.020325f, 0.022415f, 0.025146f, - 0.028473f, 0.032349f, 0.036804f, 0.041992f, 0.047913f, 0.054077f, 0.404541f, 0.468506f, 0.484131f, 0.490967f, 0.495361f, 0.498291f, - 0.000377f, 0.000440f, 0.000606f, 0.000685f, 0.000735f, 0.000876f, 0.000929f, 0.001035f, 0.001068f, 0.001157f, 0.001307f, 0.001381f, - 0.001473f, 0.001595f, 0.001664f, 0.001708f, 0.001850f, 0.001957f, 0.002043f, 0.002195f, 0.002291f, 0.002422f, 0.002571f, 0.002687f, - 0.002842f, 0.002979f, 0.003183f, 0.003345f, 0.003532f, 0.003794f, 0.004002f, 0.004154f, 0.004429f, 0.004635f, 0.004967f, 0.005253f, - 0.005573f, 0.005909f, 0.006275f, 0.006695f, 0.007183f, 0.007660f, 0.008316f, 0.008934f, 0.009644f, 0.010429f, 0.011360f, 0.012497f, - 0.013634f, 0.014977f, 0.016663f, 0.018875f, 0.021423f, 0.024643f, 0.028549f, 0.033020f, 0.038483f, 0.044525f, 0.391602f, 0.458984f, - 0.474854f, 0.482178f, 0.488037f, 0.489990f, 0.000159f, 0.000401f, 0.000450f, 0.000522f, 0.000605f, 0.000634f, 0.000728f, 0.000702f, - 0.000808f, 0.000882f, 0.000959f, 0.000991f, 0.001043f, 0.001112f, 0.001205f, 0.001245f, 0.001357f, 0.001419f, 0.001513f, 0.001546f, - 0.001648f, 0.001752f, 0.001863f, 0.001942f, 0.002056f, 0.002159f, 0.002289f, 0.002392f, 0.002506f, 0.002697f, 0.002827f, 0.003023f, - 0.003172f, 0.003330f, 0.003542f, 0.003750f, 0.004017f, 0.004292f, 0.004559f, 0.004871f, 0.005161f, 0.005539f, 0.005932f, 0.006416f, - 0.006973f, 0.007526f, 0.008232f, 0.008980f, 0.009918f, 0.010895f, 0.012085f, 0.013680f, 0.015472f, 0.017975f, 0.021103f, 0.025146f, - 0.029938f, 0.035645f, 0.379395f, 0.448486f, 0.465820f, 0.473633f, 0.478760f, 0.481689f, 0.000112f, 0.000220f, 0.000321f, 0.000322f, - 0.000401f, 0.000489f, 0.000469f, 0.000510f, 0.000568f, 0.000653f, 0.000659f, 0.000676f, 0.000703f, 0.000789f, 0.000811f, 0.000886f, - 0.000888f, 0.000994f, 0.001048f, 0.001096f, 0.001155f, 0.001220f, 0.001289f, 0.001357f, 0.001431f, 0.001496f, 0.001599f, 0.001675f, - 0.001759f, 0.001894f, 0.001965f, 0.002083f, 0.002193f, 0.002310f, 0.002464f, 0.002634f, 0.002758f, 0.002949f, 0.003134f, 0.003319f, - 0.003551f, 0.003830f, 0.004120f, 0.004440f, 0.004784f, 0.005188f, 0.005680f, 0.006222f, 0.006886f, 0.007614f, 0.008461f, 0.009529f, - 0.010864f, 0.012596f, 0.014961f, 0.018097f, 0.022263f, 0.027466f, 0.367920f, 0.438232f, 0.456543f, 0.465332f, 0.470215f, 0.472900f, - 0.000140f, 0.000219f, 0.000241f, 0.000245f, 0.000290f, 0.000291f, 0.000302f, 0.000342f, 0.000380f, 0.000409f, 0.000408f, 0.000485f, - 0.000473f, 0.000527f, 0.000556f, 0.000575f, 0.000630f, 0.000642f, 0.000673f, 0.000711f, 0.000762f, 0.000800f, 0.000852f, 0.000886f, - 0.000952f, 0.000982f, 0.001049f, 0.001108f, 0.001159f, 0.001220f, 0.001281f, 0.001369f, 0.001454f, 0.001522f, 0.001595f, 0.001695f, - 0.001839f, 0.001928f, 0.002068f, 0.002209f, 0.002337f, 0.002504f, 0.002686f, 0.002876f, 0.003139f, 0.003437f, 0.003723f, 0.004078f, - 0.004509f, 0.005009f, 0.005615f, 0.006332f, 0.007317f, 0.008461f, 0.009926f, 0.012154f, 0.015640f, 0.020325f, 0.356445f, 0.429199f, - 0.447266f, 0.456299f, 0.462158f, 0.464844f, 0.000048f, 0.000154f, 0.000141f, 0.000147f, 0.000174f, 0.000207f, 0.000188f, 0.000221f, - 0.000233f, 0.000242f, 0.000248f, 0.000271f, 0.000299f, 0.000312f, 0.000337f, 0.000350f, 0.000367f, 0.000403f, 0.000416f, 0.000458f, - 0.000465f, 0.000483f, 0.000507f, 0.000546f, 0.000576f, 0.000625f, 0.000637f, 0.000659f, 0.000705f, 0.000742f, 0.000797f, 0.000837f, - 0.000890f, 0.000925f, 0.000978f, 0.001036f, 0.001103f, 0.001181f, 0.001253f, 0.001329f, 0.001421f, 0.001529f, 0.001647f, 0.001782f, - 0.001906f, 0.002075f, 0.002291f, 0.002483f, 0.002758f, 0.003059f, 0.003450f, 0.003906f, 0.004536f, 0.005306f, 0.006325f, 0.007713f, - 0.010101f, 0.014084f, 0.343262f, 0.418457f, 0.437744f, 0.447510f, 0.452881f, 0.456543f, 0.000099f, 0.000100f, 0.000091f, 0.000085f, - 0.000105f, 0.000099f, 0.000127f, 0.000127f, 0.000130f, 0.000137f, 0.000152f, 0.000164f, 0.000164f, 0.000172f, 0.000195f, 0.000186f, - 0.000209f, 0.000222f, 0.000231f, 0.000241f, 0.000258f, 0.000266f, 0.000290f, 0.000301f, 0.000324f, 0.000343f, 0.000357f, 0.000369f, - 0.000392f, 0.000409f, 0.000440f, 0.000463f, 0.000484f, 0.000513f, 0.000544f, 0.000578f, 0.000607f, 0.000650f, 0.000702f, 0.000737f, - 0.000787f, 0.000846f, 0.000918f, 0.000977f, 0.001062f, 0.001146f, 0.001259f, 0.001379f, 0.001524f, 0.001701f, 0.001924f, 0.002207f, - 0.002542f, 0.003006f, 0.003628f, 0.004494f, 0.005821f, 0.008774f, 0.332031f, 0.409180f, 0.428467f, 0.438965f, 0.444336f, 0.447998f, - 0.000082f, 0.000057f, 0.000048f, 0.000051f, 0.000055f, 0.000054f, 0.000057f, 0.000064f, 0.000066f, 0.000079f, 0.000070f, 0.000070f, - 0.000084f, 0.000078f, 0.000084f, 0.000091f, 0.000099f, 0.000108f, 0.000108f, 0.000114f, 0.000119f, 0.000124f, 0.000129f, 0.000144f, - 0.000151f, 0.000158f, 0.000163f, 0.000176f, 0.000188f, 0.000196f, 0.000208f, 0.000220f, 0.000227f, 0.000239f, 0.000259f, 0.000273f, - 0.000290f, 0.000303f, 0.000331f, 0.000351f, 0.000376f, 0.000402f, 0.000432f, 0.000460f, 0.000500f, 0.000547f, 0.000593f, 0.000648f, - 0.000720f, 0.000805f, 0.000918f, 0.001045f, 0.001225f, 0.001462f, 0.001788f, 0.002264f, 0.003029f, 0.004623f, 0.320801f, 0.398682f, - 0.419922f, 0.430420f, 0.436279f, 0.440674f, 0.000061f, 0.000041f, 0.000033f, 0.000029f, 0.000026f, 0.000025f, 0.000024f, 0.000024f, - 0.000023f, 0.000023f, 0.000025f, 0.000032f, 0.000026f, 0.000027f, 0.000035f, 0.000037f, 0.000039f, 0.000041f, 0.000041f, 0.000041f, - 0.000044f, 0.000050f, 0.000054f, 0.000051f, 0.000055f, 0.000060f, 0.000061f, 0.000062f, 0.000069f, 0.000074f, 0.000075f, 0.000081f, - 0.000087f, 0.000090f, 0.000093f, 0.000098f, 0.000108f, 0.000114f, 0.000123f, 0.000130f, 0.000142f, 0.000144f, 0.000156f, 0.000173f, - 0.000179f, 0.000200f, 0.000218f, 0.000237f, 0.000267f, 0.000299f, 0.000335f, 0.000382f, 0.000448f, 0.000544f, 0.000677f, 0.000883f, - 0.001233f, 0.001933f, 0.309570f, 0.388672f, 0.410889f, 0.421143f, 0.427246f, 0.431885f, 0.000031f, 0.000020f, 0.000016f, 0.000014f, - 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000009f, - 0.000009f, 0.000007f, 0.000007f, 0.000007f, 0.000008f, 0.000009f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000013f, 0.000015f, - 0.000015f, 0.000014f, 0.000016f, 0.000017f, 0.000019f, 0.000020f, 0.000020f, 0.000022f, 0.000025f, 0.000023f, 0.000026f, 0.000029f, - 0.000031f, 0.000034f, 0.000036f, 0.000037f, 0.000040f, 0.000044f, 0.000048f, 0.000052f, 0.000056f, 0.000063f, 0.000068f, 0.000083f, - 0.000098f, 0.000117f, 0.000149f, 0.000201f, 0.000301f, 0.000544f, 0.297607f, 0.379150f, 0.400879f, 0.411865f, 0.419189f, 0.423340f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, - 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000005f, 0.000007f, 0.000011f, 0.000026f, 0.286621f, 0.368896f, - 0.391846f, 0.402588f, 0.409912f, 0.414551f, - }, - { - 0.007935f, 0.024429f, 0.041290f, 0.058838f, 0.076355f, 0.093933f, 0.111145f, 0.128174f, 0.146606f, 0.164429f, 0.182617f, 0.200562f, - 0.218750f, 0.236206f, 0.254150f, 0.271729f, 0.289551f, 0.308105f, 0.325684f, 0.342773f, 0.360596f, 0.379150f, 0.396240f, 0.414795f, - 0.431641f, 0.450439f, 0.468018f, 0.484619f, 0.502441f, 0.520020f, 0.536621f, 0.554688f, 0.571777f, 0.588379f, 0.605469f, 0.622559f, - 0.640137f, 0.657227f, 0.672852f, 0.689941f, 0.707031f, 0.723633f, 0.740234f, 0.756836f, 0.773926f, 0.789551f, 0.805664f, 0.821777f, - 0.838379f, 0.854980f, 0.870117f, 0.885742f, 0.901855f, 0.917480f, 0.932617f, 0.948730f, 0.963379f, 0.979492f, 0.960449f, 0.909668f, - 0.876465f, 0.850098f, 0.827637f, 0.807617f, 0.007530f, 0.023422f, 0.039764f, 0.056610f, 0.073303f, 0.090149f, 0.107300f, 0.124084f, - 0.141968f, 0.158569f, 0.176392f, 0.193604f, 0.210815f, 0.228760f, 0.246094f, 0.262695f, 0.280518f, 0.298340f, 0.315430f, 0.333252f, - 0.350586f, 0.367432f, 0.384766f, 0.402344f, 0.419678f, 0.436768f, 0.453613f, 0.471436f, 0.488037f, 0.504883f, 0.521973f, 0.538574f, - 0.556641f, 0.573242f, 0.589844f, 0.605957f, 0.623535f, 0.639160f, 0.656250f, 0.673340f, 0.688477f, 0.706055f, 0.721680f, 0.738770f, - 0.754883f, 0.770508f, 0.786133f, 0.803711f, 0.817871f, 0.834473f, 0.850586f, 0.866211f, 0.881348f, 0.896973f, 0.913086f, 0.928223f, - 0.942871f, 0.958984f, 0.951172f, 0.903320f, 0.871094f, 0.845703f, 0.824219f, 0.805664f, 0.007320f, 0.022552f, 0.038391f, 0.054260f, - 0.070312f, 0.086792f, 0.103271f, 0.120178f, 0.136841f, 0.153564f, 0.170410f, 0.187256f, 0.203735f, 0.220825f, 0.237793f, 0.255127f, - 0.271240f, 0.288086f, 0.305420f, 0.322021f, 0.339844f, 0.356689f, 0.373047f, 0.390137f, 0.406738f, 0.423340f, 0.440186f, 0.456787f, - 0.474121f, 0.490967f, 0.507324f, 0.523926f, 0.540527f, 0.557129f, 0.573242f, 0.590332f, 0.606445f, 0.623047f, 0.638672f, 0.655273f, - 0.671875f, 0.687500f, 0.703613f, 0.720215f, 0.735840f, 0.751953f, 0.767578f, 0.783203f, 0.799316f, 0.814941f, 0.830078f, 0.845703f, - 0.861328f, 0.877441f, 0.892090f, 0.908203f, 0.922852f, 0.938477f, 0.941895f, 0.895996f, 0.865723f, 0.841309f, 0.820801f, 0.802734f, - 0.007008f, 0.021667f, 0.036865f, 0.052216f, 0.067871f, 0.083862f, 0.099426f, 0.115479f, 0.131470f, 0.148315f, 0.164551f, 0.180298f, - 0.196899f, 0.213379f, 0.229370f, 0.246460f, 0.262695f, 0.279541f, 0.295410f, 0.311523f, 0.329102f, 0.345215f, 0.360840f, 0.378174f, - 0.394043f, 0.410156f, 0.427246f, 0.443115f, 0.459717f, 0.476318f, 0.493652f, 0.508789f, 0.524902f, 0.541016f, 0.557129f, 0.573242f, - 0.589844f, 0.605469f, 0.621582f, 0.638672f, 0.652832f, 0.669434f, 0.685547f, 0.701660f, 0.717285f, 0.731934f, 0.749023f, 0.764160f, - 0.779785f, 0.794922f, 0.810059f, 0.826172f, 0.841309f, 0.856445f, 0.872070f, 0.886719f, 0.902344f, 0.917480f, 0.932129f, 0.889648f, - 0.859863f, 0.835938f, 0.816895f, 0.799316f, 0.006817f, 0.020645f, 0.035156f, 0.050110f, 0.065247f, 0.080383f, 0.096313f, 0.111450f, - 0.126587f, 0.142456f, 0.158447f, 0.174316f, 0.189819f, 0.205566f, 0.221802f, 0.237427f, 0.253662f, 0.269775f, 0.285889f, 0.301514f, - 0.317627f, 0.333740f, 0.349609f, 0.366211f, 0.381348f, 0.397705f, 0.414307f, 0.429932f, 0.447266f, 0.462646f, 0.477539f, 0.494385f, - 0.509766f, 0.525879f, 0.541992f, 0.557617f, 0.571777f, 0.588379f, 0.605469f, 0.619629f, 0.636230f, 0.651855f, 0.666992f, 0.681152f, - 0.698242f, 0.714355f, 0.729980f, 0.745117f, 0.759766f, 0.775391f, 0.790527f, 0.806152f, 0.821289f, 0.835938f, 0.850586f, 0.866211f, - 0.882324f, 0.896484f, 0.922363f, 0.882324f, 0.854004f, 0.831543f, 0.812500f, 0.795898f, 0.006378f, 0.019989f, 0.034027f, 0.048004f, - 0.062744f, 0.077148f, 0.091980f, 0.107178f, 0.122192f, 0.137207f, 0.152466f, 0.167603f, 0.183960f, 0.199097f, 0.214111f, 0.229736f, - 0.244995f, 0.260254f, 0.276367f, 0.291504f, 0.306641f, 0.322998f, 0.338623f, 0.354248f, 0.369629f, 0.385254f, 0.400879f, 0.416504f, - 0.432617f, 0.447510f, 0.464111f, 0.479492f, 0.494141f, 0.511230f, 0.525879f, 0.541016f, 0.556641f, 0.572754f, 0.586914f, 0.602051f, - 0.617676f, 0.633789f, 0.648926f, 0.665039f, 0.679688f, 0.695312f, 0.710449f, 0.726074f, 0.739746f, 0.755859f, 0.771484f, 0.785645f, - 0.800781f, 0.815918f, 0.831055f, 0.846680f, 0.860840f, 0.875977f, 0.912598f, 0.874512f, 0.847656f, 0.826172f, 0.807617f, 0.791504f, - 0.006603f, 0.019287f, 0.032776f, 0.046356f, 0.060272f, 0.073914f, 0.088135f, 0.102905f, 0.117554f, 0.132690f, 0.147095f, 0.161377f, - 0.176636f, 0.191162f, 0.205444f, 0.221680f, 0.236572f, 0.251465f, 0.267090f, 0.281250f, 0.296875f, 0.312256f, 0.327393f, 0.342285f, - 0.357666f, 0.373291f, 0.388184f, 0.403076f, 0.418457f, 0.433838f, 0.448975f, 0.465088f, 0.479980f, 0.494385f, 0.509277f, 0.525879f, - 0.540039f, 0.555176f, 0.570801f, 0.586426f, 0.601074f, 0.616211f, 0.631348f, 0.646484f, 0.661133f, 0.676270f, 0.692383f, 0.705078f, - 0.720215f, 0.735352f, 0.751953f, 0.766602f, 0.781250f, 0.796387f, 0.810059f, 0.825684f, 0.840820f, 0.855469f, 0.902344f, 0.866699f, - 0.841797f, 0.820312f, 0.803223f, 0.787598f, 0.006111f, 0.018433f, 0.031097f, 0.044739f, 0.057892f, 0.071472f, 0.085205f, 0.099304f, - 0.113037f, 0.127319f, 0.141357f, 0.156128f, 0.169678f, 0.183838f, 0.198608f, 0.213745f, 0.227661f, 0.243652f, 0.257324f, 0.272705f, - 0.286865f, 0.301025f, 0.316406f, 0.331543f, 0.345703f, 0.360107f, 0.375000f, 0.390625f, 0.405762f, 0.420410f, 0.435303f, 0.449951f, - 0.465088f, 0.479492f, 0.494141f, 0.509277f, 0.523926f, 0.538574f, 0.553711f, 0.569336f, 0.583496f, 0.598145f, 0.612793f, 0.628418f, - 0.642578f, 0.657227f, 0.671387f, 0.687012f, 0.702637f, 0.716797f, 0.731934f, 0.745605f, 0.761230f, 0.775391f, 0.790527f, 0.805176f, - 0.819824f, 0.834961f, 0.892578f, 0.858887f, 0.834473f, 0.814941f, 0.798340f, 0.783203f, 0.005756f, 0.017761f, 0.029907f, 0.042572f, - 0.055481f, 0.068420f, 0.081482f, 0.095276f, 0.108826f, 0.122070f, 0.135620f, 0.149902f, 0.163330f, 0.177368f, 0.191284f, 0.206421f, - 0.219482f, 0.233521f, 0.247925f, 0.262451f, 0.277100f, 0.290771f, 0.304688f, 0.319580f, 0.334229f, 0.348389f, 0.362549f, 0.377441f, - 0.391602f, 0.406250f, 0.421143f, 0.435791f, 0.450439f, 0.463867f, 0.478760f, 0.493164f, 0.507812f, 0.521973f, 0.537109f, 0.551270f, - 0.565430f, 0.580078f, 0.594727f, 0.609863f, 0.624023f, 0.638672f, 0.653320f, 0.668457f, 0.682129f, 0.697266f, 0.711914f, 0.726562f, - 0.740723f, 0.755859f, 0.770996f, 0.785156f, 0.799805f, 0.814453f, 0.882812f, 0.851562f, 0.827148f, 0.808594f, 0.792969f, 0.778809f, - 0.005741f, 0.017166f, 0.029053f, 0.041138f, 0.053345f, 0.065796f, 0.078674f, 0.091248f, 0.104614f, 0.117004f, 0.130737f, 0.143921f, - 0.156860f, 0.170288f, 0.183960f, 0.197754f, 0.211304f, 0.224976f, 0.238892f, 0.251953f, 0.266357f, 0.280273f, 0.294922f, 0.308594f, - 0.322021f, 0.336914f, 0.350098f, 0.364502f, 0.378174f, 0.393066f, 0.407471f, 0.420166f, 0.435059f, 0.449219f, 0.463135f, 0.477295f, - 0.491699f, 0.506348f, 0.520996f, 0.534668f, 0.549316f, 0.563477f, 0.577148f, 0.591309f, 0.605469f, 0.620605f, 0.634766f, 0.648438f, - 0.663086f, 0.677734f, 0.691895f, 0.706543f, 0.720215f, 0.734863f, 0.750488f, 0.765137f, 0.779297f, 0.793945f, 0.872559f, 0.843262f, - 0.820801f, 0.803223f, 0.787598f, 0.773926f, 0.005283f, 0.016052f, 0.028030f, 0.039246f, 0.050751f, 0.063232f, 0.074829f, 0.087341f, - 0.099976f, 0.112732f, 0.125122f, 0.138062f, 0.150757f, 0.163696f, 0.176758f, 0.189697f, 0.203125f, 0.216553f, 0.229614f, 0.243286f, - 0.256592f, 0.269775f, 0.283203f, 0.297119f, 0.310547f, 0.324463f, 0.337891f, 0.351807f, 0.365234f, 0.378662f, 0.392822f, 0.406738f, - 0.419922f, 0.434814f, 0.448730f, 0.461182f, 0.476562f, 0.489746f, 0.502930f, 0.517578f, 0.531738f, 0.545410f, 0.559082f, 0.573730f, - 0.587402f, 0.602051f, 0.615723f, 0.629395f, 0.644043f, 0.658203f, 0.672363f, 0.686523f, 0.701660f, 0.714844f, 0.729980f, 0.743652f, - 0.758301f, 0.774414f, 0.862305f, 0.835449f, 0.813965f, 0.796875f, 0.782227f, 0.769043f, 0.005272f, 0.015427f, 0.026230f, 0.037506f, - 0.049164f, 0.060516f, 0.072021f, 0.083740f, 0.095825f, 0.108521f, 0.120361f, 0.132324f, 0.144897f, 0.156738f, 0.169922f, 0.182373f, - 0.195068f, 0.208008f, 0.220459f, 0.233887f, 0.246948f, 0.260254f, 0.272461f, 0.285889f, 0.299561f, 0.312500f, 0.325684f, 0.338867f, - 0.352783f, 0.365479f, 0.378906f, 0.392334f, 0.406006f, 0.419189f, 0.432861f, 0.446777f, 0.460693f, 0.473877f, 0.486572f, 0.500977f, - 0.515137f, 0.528809f, 0.542480f, 0.555176f, 0.569824f, 0.583984f, 0.597656f, 0.611328f, 0.625000f, 0.639648f, 0.653320f, 0.667480f, - 0.681641f, 0.695801f, 0.709961f, 0.723633f, 0.738281f, 0.752930f, 0.852539f, 0.827148f, 0.807129f, 0.790527f, 0.776367f, 0.764160f, - 0.004822f, 0.014885f, 0.025360f, 0.035767f, 0.046570f, 0.057587f, 0.068726f, 0.080139f, 0.091736f, 0.103577f, 0.115479f, 0.126709f, - 0.138672f, 0.150879f, 0.162231f, 0.174805f, 0.187622f, 0.199951f, 0.212524f, 0.224854f, 0.236694f, 0.249878f, 0.262207f, 0.275391f, - 0.287842f, 0.300293f, 0.313477f, 0.326904f, 0.340088f, 0.353027f, 0.365479f, 0.378174f, 0.391602f, 0.404541f, 0.417236f, 0.431641f, - 0.444336f, 0.457764f, 0.470703f, 0.484375f, 0.497803f, 0.510742f, 0.524902f, 0.537598f, 0.552246f, 0.564941f, 0.579590f, 0.592285f, - 0.606445f, 0.621094f, 0.634277f, 0.646973f, 0.662109f, 0.675781f, 0.689453f, 0.704102f, 0.718262f, 0.733398f, 0.842285f, 0.818848f, - 0.799805f, 0.784180f, 0.770996f, 0.758301f, 0.004745f, 0.014427f, 0.024277f, 0.034546f, 0.044800f, 0.055176f, 0.066040f, 0.076477f, - 0.087341f, 0.099060f, 0.110474f, 0.121216f, 0.132690f, 0.144165f, 0.156006f, 0.167358f, 0.179688f, 0.191284f, 0.203247f, 0.216187f, - 0.227905f, 0.239868f, 0.252441f, 0.264648f, 0.277100f, 0.289307f, 0.301270f, 0.314453f, 0.326660f, 0.338867f, 0.352539f, 0.364990f, - 0.377686f, 0.390137f, 0.403076f, 0.416016f, 0.428467f, 0.441406f, 0.453857f, 0.468262f, 0.480957f, 0.494385f, 0.507324f, 0.520020f, - 0.534180f, 0.547363f, 0.560059f, 0.573730f, 0.586914f, 0.601074f, 0.615234f, 0.628418f, 0.641602f, 0.656250f, 0.669434f, 0.683594f, - 0.697754f, 0.712402f, 0.832520f, 0.809570f, 0.792480f, 0.778320f, 0.764160f, 0.753906f, 0.004612f, 0.013840f, 0.023483f, 0.033081f, - 0.042999f, 0.052490f, 0.063049f, 0.073303f, 0.083801f, 0.094238f, 0.105042f, 0.115967f, 0.127319f, 0.138062f, 0.149048f, 0.160645f, - 0.171875f, 0.183228f, 0.194946f, 0.206665f, 0.218384f, 0.230347f, 0.241699f, 0.253906f, 0.265869f, 0.277832f, 0.290039f, 0.301758f, - 0.314209f, 0.326660f, 0.339111f, 0.351074f, 0.363281f, 0.375977f, 0.388428f, 0.401123f, 0.413330f, 0.426270f, 0.439453f, 0.451904f, - 0.464111f, 0.478027f, 0.489746f, 0.503418f, 0.515625f, 0.529297f, 0.542480f, 0.556152f, 0.569336f, 0.582031f, 0.595215f, 0.608887f, - 0.622559f, 0.636230f, 0.649902f, 0.663574f, 0.677246f, 0.691895f, 0.821289f, 0.802246f, 0.785645f, 0.771484f, 0.758789f, 0.748047f, - 0.004345f, 0.012985f, 0.022156f, 0.030884f, 0.040802f, 0.050568f, 0.060303f, 0.069946f, 0.079956f, 0.090393f, 0.100403f, 0.111084f, - 0.120667f, 0.131714f, 0.142700f, 0.153198f, 0.164429f, 0.175659f, 0.186523f, 0.197876f, 0.208496f, 0.220337f, 0.231567f, 0.243286f, - 0.254639f, 0.266113f, 0.277832f, 0.289795f, 0.301758f, 0.313477f, 0.325439f, 0.337402f, 0.349609f, 0.361328f, 0.373779f, 0.385986f, - 0.398193f, 0.410889f, 0.423340f, 0.435059f, 0.447998f, 0.460205f, 0.473389f, 0.486084f, 0.499023f, 0.511230f, 0.524414f, 0.537109f, - 0.549805f, 0.563477f, 0.576172f, 0.589355f, 0.603027f, 0.616699f, 0.629883f, 0.644531f, 0.658691f, 0.670898f, 0.811035f, 0.792969f, - 0.777832f, 0.764648f, 0.752441f, 0.742676f, 0.004002f, 0.012718f, 0.021210f, 0.029877f, 0.039246f, 0.048431f, 0.057281f, 0.067078f, - 0.076538f, 0.086121f, 0.096008f, 0.105957f, 0.115540f, 0.125732f, 0.136475f, 0.146729f, 0.157227f, 0.167236f, 0.177979f, 0.189819f, - 0.200195f, 0.210693f, 0.221802f, 0.232788f, 0.243896f, 0.255127f, 0.266602f, 0.278320f, 0.289062f, 0.300293f, 0.312012f, 0.323975f, - 0.335449f, 0.347168f, 0.359131f, 0.371094f, 0.382812f, 0.394775f, 0.406982f, 0.419434f, 0.431152f, 0.443604f, 0.455566f, 0.468506f, - 0.481445f, 0.493408f, 0.506348f, 0.519043f, 0.531738f, 0.544922f, 0.558105f, 0.570801f, 0.583984f, 0.597168f, 0.610352f, 0.624512f, - 0.637695f, 0.651855f, 0.800293f, 0.785156f, 0.770508f, 0.757812f, 0.747070f, 0.737305f, 0.003967f, 0.011940f, 0.020203f, 0.028931f, - 0.037109f, 0.045898f, 0.054840f, 0.063477f, 0.073059f, 0.082214f, 0.090942f, 0.100647f, 0.110535f, 0.120178f, 0.129639f, 0.139648f, - 0.149902f, 0.160156f, 0.170044f, 0.180786f, 0.190674f, 0.201416f, 0.211792f, 0.222412f, 0.233521f, 0.244751f, 0.255615f, 0.266113f, - 0.276855f, 0.288574f, 0.299561f, 0.311279f, 0.322266f, 0.333984f, 0.344727f, 0.356934f, 0.368164f, 0.379395f, 0.390869f, 0.403076f, - 0.415283f, 0.427246f, 0.439453f, 0.451172f, 0.464111f, 0.476807f, 0.488281f, 0.500977f, 0.513672f, 0.526367f, 0.538574f, 0.551758f, - 0.564453f, 0.577637f, 0.590820f, 0.604492f, 0.618164f, 0.631836f, 0.790039f, 0.775879f, 0.763184f, 0.750977f, 0.740723f, 0.731445f, - 0.003679f, 0.011749f, 0.019135f, 0.027237f, 0.035431f, 0.043884f, 0.052399f, 0.060577f, 0.069153f, 0.077881f, 0.086731f, 0.095947f, - 0.104797f, 0.114380f, 0.123535f, 0.133057f, 0.142700f, 0.152588f, 0.162231f, 0.171753f, 0.182129f, 0.192261f, 0.202026f, 0.212524f, - 0.222900f, 0.233643f, 0.243896f, 0.254395f, 0.264893f, 0.276123f, 0.286621f, 0.297119f, 0.308105f, 0.319336f, 0.331299f, 0.341553f, - 0.353027f, 0.364258f, 0.375977f, 0.387451f, 0.399414f, 0.410645f, 0.422607f, 0.434814f, 0.445801f, 0.458984f, 0.470703f, 0.482910f, - 0.495361f, 0.508301f, 0.520020f, 0.532227f, 0.545410f, 0.558594f, 0.570801f, 0.584961f, 0.597656f, 0.611816f, 0.778809f, 0.768066f, - 0.754883f, 0.743652f, 0.733887f, 0.725098f, 0.003525f, 0.010956f, 0.018433f, 0.026260f, 0.033295f, 0.041870f, 0.049377f, 0.057709f, - 0.065735f, 0.074463f, 0.082764f, 0.091736f, 0.099976f, 0.108582f, 0.118103f, 0.126465f, 0.135742f, 0.144775f, 0.154175f, 0.164307f, - 0.173218f, 0.182983f, 0.192505f, 0.202759f, 0.212646f, 0.221924f, 0.232910f, 0.242188f, 0.252930f, 0.262939f, 0.273926f, 0.284180f, - 0.294922f, 0.305420f, 0.316162f, 0.327637f, 0.338867f, 0.349609f, 0.361084f, 0.371826f, 0.382812f, 0.395020f, 0.406494f, 0.417725f, - 0.429688f, 0.441406f, 0.452637f, 0.465088f, 0.477783f, 0.489258f, 0.501953f, 0.514160f, 0.527344f, 0.539062f, 0.551758f, 0.564941f, - 0.578125f, 0.591797f, 0.768555f, 0.759277f, 0.748047f, 0.736816f, 0.728027f, 0.718750f, 0.003363f, 0.010353f, 0.017548f, 0.024765f, - 0.032196f, 0.039673f, 0.046936f, 0.054565f, 0.062561f, 0.070496f, 0.078308f, 0.086731f, 0.094910f, 0.103333f, 0.111633f, 0.120422f, - 0.129150f, 0.137695f, 0.146973f, 0.155762f, 0.164673f, 0.173950f, 0.183228f, 0.193359f, 0.201782f, 0.212036f, 0.221436f, 0.231323f, - 0.241699f, 0.251221f, 0.261719f, 0.271729f, 0.281494f, 0.291992f, 0.302734f, 0.312988f, 0.323730f, 0.334961f, 0.345459f, 0.357666f, - 0.367432f, 0.378662f, 0.389893f, 0.401855f, 0.412842f, 0.424316f, 0.435791f, 0.447266f, 0.459473f, 0.471436f, 0.482910f, 0.495605f, - 0.507324f, 0.520508f, 0.533203f, 0.545898f, 0.558594f, 0.570801f, 0.757812f, 0.750488f, 0.740234f, 0.729980f, 0.720703f, 0.712402f, - 0.003254f, 0.010048f, 0.016815f, 0.023453f, 0.030609f, 0.037537f, 0.044617f, 0.051971f, 0.059265f, 0.066833f, 0.074280f, 0.082153f, - 0.089905f, 0.097717f, 0.106018f, 0.113770f, 0.122131f, 0.131104f, 0.139282f, 0.147705f, 0.155762f, 0.165161f, 0.173950f, 0.183228f, - 0.192139f, 0.200928f, 0.210693f, 0.220093f, 0.229736f, 0.239258f, 0.248657f, 0.259277f, 0.268799f, 0.279053f, 0.288574f, 0.299561f, - 0.309814f, 0.319580f, 0.330322f, 0.340820f, 0.352783f, 0.362549f, 0.374023f, 0.385010f, 0.395752f, 0.407471f, 0.418701f, 0.429688f, - 0.441650f, 0.453125f, 0.465088f, 0.477539f, 0.489014f, 0.500977f, 0.513184f, 0.526855f, 0.539062f, 0.552246f, 0.747559f, 0.741699f, - 0.731934f, 0.722656f, 0.714355f, 0.707031f, 0.003345f, 0.009262f, 0.015900f, 0.022614f, 0.029282f, 0.035522f, 0.042633f, 0.048981f, - 0.056000f, 0.063110f, 0.070801f, 0.077454f, 0.084839f, 0.092590f, 0.100281f, 0.107849f, 0.116089f, 0.123169f, 0.131348f, 0.139648f, - 0.148193f, 0.156616f, 0.164795f, 0.173584f, 0.182617f, 0.191284f, 0.200073f, 0.208740f, 0.218140f, 0.227417f, 0.236694f, 0.246338f, - 0.255859f, 0.265381f, 0.275146f, 0.285889f, 0.294922f, 0.305420f, 0.315918f, 0.325928f, 0.336670f, 0.347412f, 0.358154f, 0.368652f, - 0.378662f, 0.390381f, 0.402100f, 0.412842f, 0.424316f, 0.435059f, 0.447021f, 0.458984f, 0.470459f, 0.482422f, 0.494873f, 0.508301f, - 0.520020f, 0.532227f, 0.737305f, 0.732910f, 0.723633f, 0.715820f, 0.708008f, 0.700195f, 0.003195f, 0.009010f, 0.015137f, 0.021225f, - 0.027466f, 0.033844f, 0.040161f, 0.046417f, 0.053497f, 0.059875f, 0.066711f, 0.073425f, 0.080505f, 0.087280f, 0.094788f, 0.102173f, - 0.109070f, 0.117004f, 0.124634f, 0.132446f, 0.139893f, 0.147705f, 0.155884f, 0.163940f, 0.172729f, 0.180908f, 0.189697f, 0.198242f, - 0.206665f, 0.215820f, 0.225220f, 0.233765f, 0.243408f, 0.251953f, 0.262207f, 0.271484f, 0.281494f, 0.291260f, 0.300537f, 0.311035f, - 0.320801f, 0.332520f, 0.341797f, 0.352051f, 0.362305f, 0.373535f, 0.384521f, 0.395264f, 0.406494f, 0.417480f, 0.429443f, 0.440430f, - 0.451904f, 0.463867f, 0.476074f, 0.487793f, 0.499268f, 0.513184f, 0.726562f, 0.723633f, 0.716309f, 0.708496f, 0.700684f, 0.694336f, - 0.002859f, 0.008507f, 0.014366f, 0.020203f, 0.026123f, 0.031891f, 0.038025f, 0.044281f, 0.050354f, 0.056519f, 0.062683f, 0.069275f, - 0.075195f, 0.082458f, 0.088806f, 0.095947f, 0.102783f, 0.110046f, 0.117065f, 0.124878f, 0.132080f, 0.139282f, 0.146851f, 0.154907f, - 0.162598f, 0.171265f, 0.178833f, 0.187500f, 0.195435f, 0.204590f, 0.213013f, 0.221680f, 0.231079f, 0.239502f, 0.248047f, 0.258301f, - 0.267334f, 0.277100f, 0.286133f, 0.296387f, 0.306641f, 0.316162f, 0.326416f, 0.336426f, 0.346924f, 0.357422f, 0.367188f, 0.378418f, - 0.389160f, 0.400391f, 0.411865f, 0.422852f, 0.433594f, 0.445557f, 0.457520f, 0.468994f, 0.481445f, 0.493408f, 0.715332f, 0.715332f, - 0.708984f, 0.700684f, 0.693848f, 0.687988f, 0.002701f, 0.008080f, 0.013718f, 0.019058f, 0.024582f, 0.030197f, 0.035675f, 0.041748f, - 0.047302f, 0.053589f, 0.059082f, 0.065308f, 0.071777f, 0.077576f, 0.084106f, 0.090332f, 0.097107f, 0.103577f, 0.110046f, 0.117493f, - 0.124146f, 0.131470f, 0.138550f, 0.145508f, 0.153564f, 0.161377f, 0.169067f, 0.176880f, 0.184814f, 0.192627f, 0.201294f, 0.209717f, - 0.218140f, 0.226929f, 0.235229f, 0.245117f, 0.253418f, 0.262939f, 0.272705f, 0.281738f, 0.290771f, 0.300781f, 0.310791f, 0.321289f, - 0.330566f, 0.341064f, 0.351562f, 0.361572f, 0.372559f, 0.382568f, 0.393066f, 0.405273f, 0.415771f, 0.426758f, 0.438721f, 0.450439f, - 0.461670f, 0.474121f, 0.704102f, 0.706543f, 0.700195f, 0.693359f, 0.687012f, 0.681152f, 0.002546f, 0.007771f, 0.012985f, 0.017975f, - 0.023392f, 0.028976f, 0.034180f, 0.039368f, 0.044556f, 0.050110f, 0.055847f, 0.061218f, 0.066895f, 0.072815f, 0.078674f, 0.085083f, - 0.091309f, 0.097168f, 0.103516f, 0.110107f, 0.116821f, 0.123413f, 0.130371f, 0.137329f, 0.144165f, 0.151733f, 0.158813f, 0.166382f, - 0.174438f, 0.182129f, 0.190063f, 0.197510f, 0.206055f, 0.214355f, 0.222778f, 0.231812f, 0.240723f, 0.249023f, 0.258789f, 0.267578f, - 0.276855f, 0.285889f, 0.295654f, 0.305420f, 0.315430f, 0.324463f, 0.334961f, 0.345215f, 0.354492f, 0.365234f, 0.376221f, 0.387451f, - 0.398926f, 0.409424f, 0.419678f, 0.432129f, 0.443848f, 0.455566f, 0.693848f, 0.697266f, 0.691895f, 0.686523f, 0.680176f, 0.674805f, - 0.002542f, 0.007271f, 0.012337f, 0.017181f, 0.021744f, 0.026840f, 0.031555f, 0.037231f, 0.042236f, 0.046906f, 0.051941f, 0.057709f, - 0.063049f, 0.068542f, 0.073853f, 0.079712f, 0.085266f, 0.091064f, 0.096985f, 0.103027f, 0.109009f, 0.115417f, 0.122192f, 0.128540f, - 0.135132f, 0.141846f, 0.148926f, 0.156250f, 0.163696f, 0.171387f, 0.178223f, 0.186035f, 0.194580f, 0.202271f, 0.210327f, 0.218994f, - 0.227173f, 0.235596f, 0.244385f, 0.252930f, 0.262451f, 0.271240f, 0.280762f, 0.290771f, 0.299805f, 0.309082f, 0.318359f, 0.329102f, - 0.338623f, 0.348633f, 0.358643f, 0.370117f, 0.379639f, 0.390869f, 0.401611f, 0.413330f, 0.425293f, 0.436523f, 0.682129f, 0.688477f, - 0.684082f, 0.678711f, 0.673340f, 0.667969f, 0.002300f, 0.007076f, 0.011505f, 0.016251f, 0.020401f, 0.025665f, 0.029816f, 0.034790f, - 0.039368f, 0.044159f, 0.048798f, 0.053955f, 0.059174f, 0.064148f, 0.069153f, 0.074463f, 0.079346f, 0.085266f, 0.090759f, 0.096191f, - 0.102112f, 0.108032f, 0.114075f, 0.120117f, 0.126587f, 0.133057f, 0.139648f, 0.146240f, 0.153442f, 0.160400f, 0.167725f, 0.174683f, - 0.182739f, 0.190308f, 0.198120f, 0.206177f, 0.214355f, 0.222656f, 0.230713f, 0.239258f, 0.248413f, 0.257080f, 0.265869f, 0.274658f, - 0.284424f, 0.292725f, 0.302490f, 0.313232f, 0.321777f, 0.331787f, 0.341797f, 0.352295f, 0.363281f, 0.373535f, 0.383545f, 0.395264f, - 0.405762f, 0.416992f, 0.671387f, 0.679688f, 0.675293f, 0.670898f, 0.666016f, 0.661133f, 0.002104f, 0.006474f, 0.010506f, 0.015099f, - 0.018875f, 0.023911f, 0.028534f, 0.032715f, 0.036652f, 0.041290f, 0.046021f, 0.050171f, 0.054535f, 0.059570f, 0.064575f, 0.069458f, - 0.074341f, 0.079346f, 0.084351f, 0.089844f, 0.095032f, 0.100830f, 0.106628f, 0.112122f, 0.117859f, 0.124084f, 0.130249f, 0.136841f, - 0.143188f, 0.149780f, 0.157349f, 0.163940f, 0.171021f, 0.178345f, 0.186279f, 0.193848f, 0.201172f, 0.209717f, 0.217529f, 0.225464f, - 0.233765f, 0.242676f, 0.251221f, 0.260254f, 0.268311f, 0.278076f, 0.287109f, 0.296143f, 0.305908f, 0.315674f, 0.325195f, 0.335449f, - 0.344971f, 0.355469f, 0.365967f, 0.377441f, 0.387939f, 0.398193f, 0.660645f, 0.670410f, 0.667969f, 0.663086f, 0.659180f, 0.654785f, - 0.002085f, 0.006306f, 0.010506f, 0.014107f, 0.018448f, 0.022293f, 0.026215f, 0.029953f, 0.034515f, 0.038391f, 0.042786f, 0.046844f, - 0.051361f, 0.055573f, 0.059784f, 0.064331f, 0.068970f, 0.073425f, 0.078430f, 0.083313f, 0.088318f, 0.093567f, 0.098816f, 0.104126f, - 0.109924f, 0.115662f, 0.121521f, 0.127197f, 0.133545f, 0.139771f, 0.146729f, 0.153076f, 0.160278f, 0.166992f, 0.174316f, 0.181274f, - 0.188965f, 0.196045f, 0.204468f, 0.212036f, 0.220459f, 0.228638f, 0.237183f, 0.245483f, 0.254150f, 0.262451f, 0.271484f, 0.281250f, - 0.290283f, 0.299561f, 0.308350f, 0.318115f, 0.328369f, 0.337158f, 0.349121f, 0.358887f, 0.370117f, 0.380615f, 0.649414f, 0.661133f, - 0.659668f, 0.655762f, 0.651855f, 0.647949f, 0.001922f, 0.005867f, 0.009399f, 0.013565f, 0.017380f, 0.020859f, 0.024551f, 0.028442f, - 0.032318f, 0.035980f, 0.039551f, 0.043488f, 0.047333f, 0.051239f, 0.055573f, 0.059875f, 0.063660f, 0.067810f, 0.072876f, 0.077087f, - 0.081726f, 0.086304f, 0.091370f, 0.096863f, 0.101746f, 0.107483f, 0.112732f, 0.117920f, 0.124329f, 0.130005f, 0.136108f, 0.142822f, - 0.149170f, 0.155396f, 0.162598f, 0.169434f, 0.176636f, 0.183838f, 0.191772f, 0.198975f, 0.206665f, 0.214478f, 0.222290f, 0.230835f, - 0.239258f, 0.247803f, 0.256836f, 0.264893f, 0.274414f, 0.283203f, 0.292725f, 0.301758f, 0.311035f, 0.321289f, 0.332275f, 0.340820f, - 0.351562f, 0.363037f, 0.637695f, 0.652832f, 0.651367f, 0.647949f, 0.644531f, 0.641602f, 0.002052f, 0.005253f, 0.009117f, 0.012482f, - 0.016113f, 0.019302f, 0.022842f, 0.026230f, 0.029831f, 0.033447f, 0.036682f, 0.040588f, 0.044189f, 0.047333f, 0.051178f, 0.055267f, - 0.058807f, 0.062683f, 0.067200f, 0.070984f, 0.075195f, 0.079895f, 0.084534f, 0.088806f, 0.093933f, 0.098999f, 0.104309f, 0.109619f, - 0.114807f, 0.120422f, 0.126587f, 0.132080f, 0.138550f, 0.144775f, 0.151245f, 0.157837f, 0.164551f, 0.171387f, 0.178467f, 0.186157f, - 0.193359f, 0.201294f, 0.208740f, 0.216797f, 0.224854f, 0.233398f, 0.241211f, 0.250000f, 0.258545f, 0.267822f, 0.276855f, 0.286133f, - 0.295410f, 0.304932f, 0.314697f, 0.324463f, 0.334229f, 0.344238f, 0.626953f, 0.642578f, 0.643066f, 0.641113f, 0.637695f, 0.634277f, - 0.001711f, 0.005424f, 0.008347f, 0.012024f, 0.014977f, 0.018066f, 0.021500f, 0.024399f, 0.027756f, 0.030869f, 0.034058f, 0.037048f, - 0.040558f, 0.044006f, 0.046906f, 0.050690f, 0.054169f, 0.057983f, 0.061584f, 0.065247f, 0.069336f, 0.073425f, 0.077576f, 0.082092f, - 0.086670f, 0.091064f, 0.095886f, 0.101196f, 0.105957f, 0.111267f, 0.116943f, 0.122559f, 0.128174f, 0.133789f, 0.140259f, 0.146118f, - 0.153076f, 0.159424f, 0.166016f, 0.173462f, 0.180542f, 0.187744f, 0.195435f, 0.203003f, 0.209961f, 0.218994f, 0.226562f, 0.234619f, - 0.243286f, 0.251709f, 0.260742f, 0.269531f, 0.277832f, 0.287354f, 0.297363f, 0.306885f, 0.316406f, 0.326660f, 0.615234f, 0.633789f, - 0.634277f, 0.632812f, 0.630371f, 0.626953f, 0.001721f, 0.004829f, 0.008034f, 0.010857f, 0.013893f, 0.016953f, 0.019806f, 0.022705f, - 0.025589f, 0.028793f, 0.031616f, 0.034180f, 0.036926f, 0.039978f, 0.043213f, 0.046356f, 0.049744f, 0.052887f, 0.056305f, 0.059906f, - 0.063416f, 0.067322f, 0.070862f, 0.075134f, 0.079285f, 0.083435f, 0.088074f, 0.092712f, 0.097534f, 0.102173f, 0.107544f, 0.112305f, - 0.118225f, 0.123657f, 0.129272f, 0.135376f, 0.141602f, 0.147705f, 0.153931f, 0.160889f, 0.167847f, 0.174683f, 0.181885f, 0.189209f, - 0.196533f, 0.204224f, 0.212524f, 0.219727f, 0.228271f, 0.236572f, 0.245483f, 0.253418f, 0.261719f, 0.270996f, 0.280029f, 0.289307f, - 0.300537f, 0.309326f, 0.604004f, 0.625000f, 0.626953f, 0.625000f, 0.622559f, 0.620117f, 0.001624f, 0.004730f, 0.007412f, 0.010300f, - 0.013199f, 0.015717f, 0.018448f, 0.020935f, 0.023163f, 0.026138f, 0.028687f, 0.031204f, 0.033875f, 0.036743f, 0.039825f, 0.042389f, - 0.045166f, 0.048523f, 0.051422f, 0.054535f, 0.057953f, 0.061249f, 0.064880f, 0.068542f, 0.072388f, 0.076355f, 0.080505f, 0.084534f, - 0.089294f, 0.093750f, 0.098389f, 0.103210f, 0.108337f, 0.113647f, 0.118896f, 0.124817f, 0.130737f, 0.135986f, 0.142212f, 0.148560f, - 0.155151f, 0.162109f, 0.168579f, 0.175415f, 0.183105f, 0.190552f, 0.197998f, 0.205322f, 0.213623f, 0.221436f, 0.229370f, 0.237915f, - 0.246216f, 0.254883f, 0.264160f, 0.273438f, 0.282471f, 0.292236f, 0.593262f, 0.615723f, 0.618164f, 0.617188f, 0.615234f, 0.612793f, - 0.001355f, 0.004463f, 0.007061f, 0.009506f, 0.011612f, 0.014381f, 0.016830f, 0.019394f, 0.021576f, 0.023697f, 0.026428f, 0.028778f, - 0.030975f, 0.033386f, 0.035950f, 0.038513f, 0.041260f, 0.044067f, 0.046967f, 0.049622f, 0.052612f, 0.055847f, 0.059052f, 0.062164f, - 0.065918f, 0.069397f, 0.073242f, 0.077271f, 0.081055f, 0.085327f, 0.089661f, 0.094177f, 0.098877f, 0.103455f, 0.108582f, 0.113647f, - 0.119812f, 0.125000f, 0.130981f, 0.137085f, 0.142944f, 0.149414f, 0.156006f, 0.162354f, 0.169434f, 0.176514f, 0.183716f, 0.191284f, - 0.198975f, 0.206421f, 0.214844f, 0.222412f, 0.231323f, 0.238647f, 0.247437f, 0.256592f, 0.265625f, 0.276367f, 0.581055f, 0.606445f, - 0.609863f, 0.608887f, 0.607910f, 0.606445f, 0.001413f, 0.004128f, 0.006180f, 0.008781f, 0.010994f, 0.013496f, 0.015427f, 0.017654f, - 0.019684f, 0.021881f, 0.024139f, 0.025879f, 0.028137f, 0.030334f, 0.032471f, 0.034821f, 0.037354f, 0.039642f, 0.042236f, 0.044708f, - 0.047394f, 0.050079f, 0.053223f, 0.056244f, 0.059479f, 0.062622f, 0.066223f, 0.069946f, 0.073608f, 0.077209f, 0.081604f, 0.085632f, - 0.089722f, 0.094360f, 0.098999f, 0.103943f, 0.108826f, 0.114319f, 0.119568f, 0.125122f, 0.131104f, 0.137085f, 0.143433f, 0.150024f, - 0.156494f, 0.163330f, 0.170044f, 0.177490f, 0.184326f, 0.191895f, 0.199707f, 0.207764f, 0.215698f, 0.223755f, 0.231812f, 0.240845f, - 0.249756f, 0.258789f, 0.568848f, 0.598145f, 0.601562f, 0.600586f, 0.600586f, 0.599121f, 0.001182f, 0.003773f, 0.005970f, 0.008293f, - 0.010277f, 0.012512f, 0.014030f, 0.016129f, 0.017929f, 0.019791f, 0.021683f, 0.023590f, 0.025452f, 0.027328f, 0.029404f, 0.031677f, - 0.033539f, 0.035583f, 0.037903f, 0.040314f, 0.042877f, 0.045319f, 0.048126f, 0.050690f, 0.053436f, 0.056519f, 0.059723f, 0.062744f, - 0.066284f, 0.069702f, 0.073608f, 0.077209f, 0.081055f, 0.085754f, 0.089783f, 0.094421f, 0.099060f, 0.103821f, 0.109192f, 0.114563f, - 0.119934f, 0.125488f, 0.131104f, 0.137695f, 0.144043f, 0.149780f, 0.156738f, 0.163940f, 0.170654f, 0.177856f, 0.185181f, 0.192871f, - 0.200439f, 0.208740f, 0.216675f, 0.225342f, 0.233521f, 0.242554f, 0.557617f, 0.587891f, 0.592285f, 0.592773f, 0.592285f, 0.592285f, - 0.001198f, 0.003677f, 0.005547f, 0.007561f, 0.009468f, 0.011253f, 0.012833f, 0.014465f, 0.016205f, 0.017792f, 0.019394f, 0.021240f, - 0.022751f, 0.024475f, 0.026260f, 0.028015f, 0.030136f, 0.031708f, 0.034088f, 0.036102f, 0.038361f, 0.040497f, 0.042816f, 0.045288f, - 0.047882f, 0.050476f, 0.053284f, 0.056183f, 0.059174f, 0.062500f, 0.065796f, 0.069153f, 0.072998f, 0.076904f, 0.080994f, 0.085083f, - 0.089478f, 0.094116f, 0.098633f, 0.103394f, 0.108704f, 0.113953f, 0.119934f, 0.125366f, 0.131348f, 0.137329f, 0.143555f, 0.150391f, - 0.157227f, 0.163818f, 0.170776f, 0.178467f, 0.185791f, 0.193359f, 0.201538f, 0.209717f, 0.218018f, 0.226807f, 0.544922f, 0.578613f, - 0.583984f, 0.584961f, 0.585449f, 0.584473f, 0.001067f, 0.003101f, 0.004974f, 0.006855f, 0.008522f, 0.009949f, 0.011635f, 0.012985f, - 0.014595f, 0.016052f, 0.017685f, 0.019012f, 0.020264f, 0.021851f, 0.023346f, 0.025146f, 0.026688f, 0.028336f, 0.030304f, 0.031860f, - 0.034119f, 0.035889f, 0.038025f, 0.040283f, 0.042450f, 0.044952f, 0.047302f, 0.050049f, 0.052765f, 0.055908f, 0.058594f, 0.061859f, - 0.064880f, 0.068481f, 0.072327f, 0.076172f, 0.080200f, 0.084290f, 0.088684f, 0.093262f, 0.098145f, 0.102905f, 0.108337f, 0.113708f, - 0.119080f, 0.125000f, 0.131348f, 0.137329f, 0.143921f, 0.150391f, 0.157593f, 0.164551f, 0.171753f, 0.179077f, 0.186768f, 0.194702f, - 0.203003f, 0.210815f, 0.534180f, 0.569336f, 0.575684f, 0.577637f, 0.577637f, 0.577148f, 0.001196f, 0.003178f, 0.004601f, 0.006241f, - 0.007782f, 0.009262f, 0.010391f, 0.011795f, 0.012955f, 0.014198f, 0.015518f, 0.016785f, 0.018097f, 0.019409f, 0.020782f, 0.022247f, - 0.023544f, 0.025269f, 0.026749f, 0.028152f, 0.030045f, 0.031555f, 0.033630f, 0.035645f, 0.037567f, 0.039642f, 0.041992f, 0.044281f, - 0.046692f, 0.049042f, 0.052094f, 0.054779f, 0.057831f, 0.060760f, 0.064209f, 0.067627f, 0.071228f, 0.075256f, 0.079224f, 0.083557f, - 0.087891f, 0.092468f, 0.097168f, 0.102356f, 0.107605f, 0.113098f, 0.119019f, 0.124878f, 0.130859f, 0.137451f, 0.144287f, 0.150635f, - 0.157471f, 0.164917f, 0.171997f, 0.179932f, 0.187378f, 0.196899f, 0.521973f, 0.560547f, 0.566895f, 0.569824f, 0.570312f, 0.568848f, - 0.001242f, 0.002674f, 0.004421f, 0.005573f, 0.006882f, 0.008354f, 0.009491f, 0.010559f, 0.011406f, 0.012695f, 0.013893f, 0.014908f, - 0.015854f, 0.017044f, 0.018234f, 0.019501f, 0.020752f, 0.022003f, 0.023254f, 0.024689f, 0.026154f, 0.027802f, 0.029434f, 0.031113f, - 0.032898f, 0.034668f, 0.036774f, 0.038910f, 0.040802f, 0.043030f, 0.045593f, 0.048065f, 0.050873f, 0.053680f, 0.056458f, 0.059692f, - 0.062866f, 0.066467f, 0.069946f, 0.074036f, 0.077942f, 0.082275f, 0.086731f, 0.091614f, 0.096313f, 0.101562f, 0.106934f, 0.112671f, - 0.118591f, 0.124634f, 0.130859f, 0.137207f, 0.144043f, 0.151123f, 0.157593f, 0.165283f, 0.173218f, 0.180664f, 0.510254f, 0.550781f, - 0.558105f, 0.561035f, 0.562012f, 0.562012f, 0.000842f, 0.002552f, 0.003769f, 0.005333f, 0.006149f, 0.007298f, 0.008362f, 0.009224f, - 0.010254f, 0.011230f, 0.012108f, 0.013092f, 0.014000f, 0.014992f, 0.016006f, 0.016953f, 0.017990f, 0.019196f, 0.020142f, 0.021622f, - 0.022827f, 0.024216f, 0.025513f, 0.026993f, 0.028564f, 0.030212f, 0.032013f, 0.033813f, 0.035706f, 0.037598f, 0.039703f, 0.041840f, - 0.044159f, 0.046539f, 0.049347f, 0.052155f, 0.055084f, 0.058228f, 0.061554f, 0.065002f, 0.068909f, 0.072693f, 0.076599f, 0.081238f, - 0.085388f, 0.090515f, 0.095764f, 0.100891f, 0.106689f, 0.112366f, 0.118103f, 0.124634f, 0.130859f, 0.137573f, 0.144287f, 0.151855f, - 0.158447f, 0.166260f, 0.498535f, 0.541992f, 0.549805f, 0.553711f, 0.554199f, 0.554688f, 0.000874f, 0.002186f, 0.003445f, 0.004807f, - 0.005562f, 0.006607f, 0.007378f, 0.008102f, 0.008919f, 0.009666f, 0.010513f, 0.011131f, 0.012039f, 0.012848f, 0.013779f, 0.014671f, - 0.015465f, 0.016464f, 0.017517f, 0.018585f, 0.019730f, 0.020798f, 0.022018f, 0.023300f, 0.024612f, 0.026093f, 0.027374f, 0.029022f, - 0.030624f, 0.032440f, 0.034180f, 0.036285f, 0.038116f, 0.040344f, 0.042725f, 0.045349f, 0.047913f, 0.050476f, 0.053406f, 0.056488f, - 0.059998f, 0.063354f, 0.067383f, 0.071289f, 0.075562f, 0.079834f, 0.084656f, 0.089478f, 0.094849f, 0.100342f, 0.106140f, 0.111877f, - 0.118042f, 0.124573f, 0.130981f, 0.137451f, 0.144653f, 0.152588f, 0.486816f, 0.531738f, 0.541016f, 0.545410f, 0.547363f, 0.546875f, - 0.000667f, 0.002001f, 0.003244f, 0.003895f, 0.004936f, 0.005608f, 0.006477f, 0.006901f, 0.007648f, 0.008354f, 0.009132f, 0.009766f, - 0.010490f, 0.011177f, 0.011780f, 0.012543f, 0.013420f, 0.014084f, 0.015045f, 0.015961f, 0.016876f, 0.017822f, 0.018768f, 0.019958f, - 0.021255f, 0.022232f, 0.023560f, 0.024780f, 0.026108f, 0.027634f, 0.029221f, 0.030762f, 0.032684f, 0.034576f, 0.036621f, 0.038605f, - 0.040985f, 0.043488f, 0.046021f, 0.049042f, 0.051727f, 0.054901f, 0.058441f, 0.061981f, 0.065552f, 0.069885f, 0.074097f, 0.078857f, - 0.083923f, 0.088623f, 0.094360f, 0.099854f, 0.105957f, 0.111694f, 0.118164f, 0.124817f, 0.131836f, 0.138794f, 0.474365f, 0.522949f, - 0.532227f, 0.536621f, 0.538574f, 0.539062f, 0.000876f, 0.002020f, 0.002857f, 0.003855f, 0.004436f, 0.005009f, 0.005482f, 0.006130f, - 0.006588f, 0.007084f, 0.007656f, 0.008286f, 0.008949f, 0.009506f, 0.010025f, 0.010803f, 0.011444f, 0.012047f, 0.012802f, 0.013512f, - 0.014305f, 0.015282f, 0.016052f, 0.016846f, 0.017914f, 0.018829f, 0.019882f, 0.021027f, 0.022232f, 0.023453f, 0.024689f, 0.026169f, - 0.027573f, 0.029327f, 0.031036f, 0.032806f, 0.034882f, 0.036743f, 0.039032f, 0.041626f, 0.044312f, 0.046936f, 0.050018f, 0.053253f, - 0.056610f, 0.060272f, 0.064392f, 0.068542f, 0.072937f, 0.078003f, 0.082886f, 0.088318f, 0.093933f, 0.099670f, 0.106140f, 0.112000f, - 0.118713f, 0.125732f, 0.463135f, 0.513672f, 0.524414f, 0.528809f, 0.530762f, 0.532227f, 0.000573f, 0.001698f, 0.002670f, 0.003082f, - 0.003735f, 0.004318f, 0.004673f, 0.005161f, 0.005779f, 0.006203f, 0.006565f, 0.007015f, 0.007591f, 0.007965f, 0.008583f, 0.009094f, - 0.009491f, 0.010239f, 0.010780f, 0.011353f, 0.012047f, 0.012787f, 0.013504f, 0.014206f, 0.015060f, 0.015915f, 0.016708f, 0.017685f, - 0.018677f, 0.019653f, 0.020828f, 0.021866f, 0.023224f, 0.024445f, 0.025818f, 0.027557f, 0.029114f, 0.030991f, 0.032928f, 0.035034f, - 0.037201f, 0.039581f, 0.042328f, 0.045166f, 0.048157f, 0.051392f, 0.054962f, 0.058685f, 0.062988f, 0.067444f, 0.072021f, 0.077148f, - 0.082520f, 0.088196f, 0.093750f, 0.100403f, 0.106201f, 0.112976f, 0.450928f, 0.503906f, 0.515137f, 0.520020f, 0.522949f, 0.524414f, - 0.000643f, 0.001637f, 0.002197f, 0.002800f, 0.003376f, 0.003613f, 0.003914f, 0.004391f, 0.004742f, 0.005150f, 0.005466f, 0.005924f, - 0.006344f, 0.006645f, 0.007046f, 0.007591f, 0.008118f, 0.008560f, 0.008934f, 0.009529f, 0.010147f, 0.010651f, 0.011276f, 0.011787f, - 0.012543f, 0.013229f, 0.013916f, 0.014740f, 0.015564f, 0.016388f, 0.017258f, 0.018188f, 0.019257f, 0.020355f, 0.021729f, 0.022766f, - 0.024277f, 0.025696f, 0.027237f, 0.029022f, 0.030945f, 0.033020f, 0.035248f, 0.037689f, 0.040405f, 0.043182f, 0.046295f, 0.049866f, - 0.053528f, 0.057526f, 0.061920f, 0.066284f, 0.071716f, 0.077209f, 0.082703f, 0.088196f, 0.094177f, 0.101074f, 0.438965f, 0.494629f, - 0.507324f, 0.512207f, 0.515137f, 0.516113f, 0.000484f, 0.001272f, 0.001968f, 0.002327f, 0.002573f, 0.003054f, 0.003338f, 0.003660f, - 0.003906f, 0.004303f, 0.004658f, 0.004921f, 0.005222f, 0.005547f, 0.005878f, 0.006290f, 0.006542f, 0.007015f, 0.007442f, 0.007851f, - 0.008339f, 0.008713f, 0.009247f, 0.009811f, 0.010345f, 0.010849f, 0.011490f, 0.012123f, 0.012733f, 0.013428f, 0.014183f, 0.014961f, - 0.015839f, 0.016815f, 0.017731f, 0.018768f, 0.019821f, 0.021072f, 0.022385f, 0.023727f, 0.025345f, 0.027084f, 0.028946f, 0.030914f, - 0.033295f, 0.035614f, 0.038513f, 0.041473f, 0.044678f, 0.048462f, 0.052338f, 0.056671f, 0.061310f, 0.066101f, 0.071533f, 0.077148f, - 0.083069f, 0.089172f, 0.427246f, 0.485352f, 0.498535f, 0.503906f, 0.508301f, 0.509766f, 0.000416f, 0.001121f, 0.001410f, 0.001959f, - 0.002159f, 0.002558f, 0.002724f, 0.002939f, 0.003220f, 0.003447f, 0.003733f, 0.003944f, 0.004219f, 0.004578f, 0.004810f, 0.005100f, - 0.005402f, 0.005783f, 0.006077f, 0.006382f, 0.006729f, 0.007141f, 0.007526f, 0.007965f, 0.008354f, 0.008858f, 0.009300f, 0.009789f, - 0.010452f, 0.010986f, 0.011658f, 0.012131f, 0.012833f, 0.013702f, 0.014435f, 0.015266f, 0.016113f, 0.017136f, 0.018143f, 0.019241f, - 0.020493f, 0.021820f, 0.023346f, 0.025085f, 0.027023f, 0.028976f, 0.031174f, 0.033966f, 0.036743f, 0.039856f, 0.043396f, 0.047180f, - 0.051605f, 0.056152f, 0.061127f, 0.066284f, 0.072021f, 0.078247f, 0.415283f, 0.475586f, 0.490234f, 0.496338f, 0.499756f, 0.501953f, - 0.000493f, 0.001126f, 0.001391f, 0.001574f, 0.001786f, 0.002073f, 0.002188f, 0.002417f, 0.002657f, 0.002785f, 0.002964f, 0.003189f, - 0.003384f, 0.003687f, 0.003859f, 0.004124f, 0.004330f, 0.004555f, 0.004890f, 0.005119f, 0.005451f, 0.005749f, 0.006054f, 0.006348f, - 0.006683f, 0.007050f, 0.007458f, 0.007889f, 0.008339f, 0.008751f, 0.009323f, 0.009766f, 0.010353f, 0.010887f, 0.011520f, 0.012192f, - 0.012932f, 0.013748f, 0.014542f, 0.015434f, 0.016434f, 0.017471f, 0.018723f, 0.019989f, 0.021500f, 0.023117f, 0.024948f, 0.027100f, - 0.029770f, 0.032166f, 0.035248f, 0.038696f, 0.042633f, 0.046875f, 0.051605f, 0.056427f, 0.061859f, 0.067688f, 0.403320f, 0.467041f, - 0.480957f, 0.487793f, 0.491699f, 0.494385f, 0.000336f, 0.000673f, 0.001150f, 0.001274f, 0.001482f, 0.001630f, 0.001748f, 0.001904f, - 0.002087f, 0.002232f, 0.002306f, 0.002497f, 0.002672f, 0.002872f, 0.003092f, 0.003225f, 0.003387f, 0.003553f, 0.003819f, 0.003979f, - 0.004230f, 0.004517f, 0.004738f, 0.005016f, 0.005322f, 0.005569f, 0.005848f, 0.006184f, 0.006573f, 0.006851f, 0.007271f, 0.007660f, - 0.008064f, 0.008568f, 0.009048f, 0.009567f, 0.010139f, 0.010788f, 0.011391f, 0.012161f, 0.012939f, 0.013763f, 0.014694f, 0.015717f, - 0.016815f, 0.018097f, 0.019714f, 0.021149f, 0.023270f, 0.025421f, 0.028015f, 0.030991f, 0.034271f, 0.038116f, 0.042328f, 0.046997f, - 0.052094f, 0.057770f, 0.391113f, 0.457031f, 0.472412f, 0.479736f, 0.484375f, 0.486816f, 0.000309f, 0.000612f, 0.000953f, 0.001086f, - 0.001191f, 0.001281f, 0.001351f, 0.001442f, 0.001610f, 0.001733f, 0.001783f, 0.001991f, 0.002087f, 0.002232f, 0.002337f, 0.002495f, - 0.002611f, 0.002775f, 0.002935f, 0.003101f, 0.003302f, 0.003496f, 0.003622f, 0.003839f, 0.004047f, 0.004265f, 0.004494f, 0.004738f, - 0.005039f, 0.005272f, 0.005650f, 0.005898f, 0.006210f, 0.006588f, 0.006950f, 0.007332f, 0.007782f, 0.008240f, 0.008766f, 0.009331f, - 0.009964f, 0.010612f, 0.011314f, 0.012062f, 0.013023f, 0.014038f, 0.015007f, 0.016251f, 0.017761f, 0.019501f, 0.021530f, 0.023926f, - 0.026718f, 0.030106f, 0.033905f, 0.038361f, 0.043060f, 0.048370f, 0.379395f, 0.446777f, 0.464111f, 0.471191f, 0.475586f, 0.479492f, - 0.000439f, 0.000476f, 0.000672f, 0.000752f, 0.000810f, 0.000949f, 0.001011f, 0.001121f, 0.001160f, 0.001249f, 0.001408f, 0.001493f, - 0.001591f, 0.001719f, 0.001788f, 0.001845f, 0.001982f, 0.002106f, 0.002201f, 0.002357f, 0.002460f, 0.002598f, 0.002724f, 0.002869f, - 0.003036f, 0.003187f, 0.003397f, 0.003569f, 0.003763f, 0.004017f, 0.004211f, 0.004414f, 0.004704f, 0.004890f, 0.005234f, 0.005524f, - 0.005825f, 0.006187f, 0.006535f, 0.006977f, 0.007423f, 0.007874f, 0.008553f, 0.009079f, 0.009857f, 0.010567f, 0.011360f, 0.012306f, - 0.013390f, 0.014702f, 0.016220f, 0.017960f, 0.020157f, 0.022995f, 0.026352f, 0.030212f, 0.034790f, 0.039459f, 0.368408f, 0.437744f, - 0.455322f, 0.463379f, 0.468018f, 0.471436f, 0.000202f, 0.000437f, 0.000488f, 0.000579f, 0.000664f, 0.000692f, 0.000792f, 0.000762f, - 0.000875f, 0.000949f, 0.001038f, 0.001068f, 0.001116f, 0.001196f, 0.001300f, 0.001352f, 0.001458f, 0.001529f, 0.001623f, 0.001667f, - 0.001770f, 0.001884f, 0.001989f, 0.002071f, 0.002203f, 0.002310f, 0.002445f, 0.002556f, 0.002680f, 0.002876f, 0.002991f, 0.003206f, - 0.003365f, 0.003531f, 0.003759f, 0.003956f, 0.004227f, 0.004513f, 0.004768f, 0.005074f, 0.005402f, 0.005756f, 0.006142f, 0.006603f, - 0.007160f, 0.007645f, 0.008339f, 0.008987f, 0.009819f, 0.010780f, 0.011803f, 0.013153f, 0.014763f, 0.016876f, 0.019623f, 0.022995f, - 0.026978f, 0.031708f, 0.356445f, 0.428223f, 0.446533f, 0.455078f, 0.460449f, 0.463379f, 0.000126f, 0.000241f, 0.000344f, 0.000353f, - 0.000437f, 0.000522f, 0.000513f, 0.000552f, 0.000613f, 0.000699f, 0.000717f, 0.000727f, 0.000763f, 0.000848f, 0.000877f, 0.000956f, - 0.000963f, 0.001068f, 0.001128f, 0.001170f, 0.001238f, 0.001311f, 0.001385f, 0.001454f, 0.001534f, 0.001603f, 0.001714f, 0.001779f, - 0.001885f, 0.002016f, 0.002092f, 0.002214f, 0.002331f, 0.002460f, 0.002613f, 0.002777f, 0.002924f, 0.003120f, 0.003298f, 0.003496f, - 0.003708f, 0.004009f, 0.004292f, 0.004601f, 0.004951f, 0.005341f, 0.005772f, 0.006260f, 0.006901f, 0.007572f, 0.008324f, 0.009300f, - 0.010445f, 0.011848f, 0.013870f, 0.016678f, 0.020218f, 0.024536f, 0.345703f, 0.419189f, 0.437500f, 0.447021f, 0.452393f, 0.455811f, - 0.000146f, 0.000240f, 0.000268f, 0.000268f, 0.000310f, 0.000311f, 0.000331f, 0.000366f, 0.000410f, 0.000447f, 0.000446f, 0.000517f, - 0.000511f, 0.000571f, 0.000596f, 0.000618f, 0.000674f, 0.000691f, 0.000723f, 0.000762f, 0.000822f, 0.000856f, 0.000912f, 0.000950f, - 0.001014f, 0.001049f, 0.001128f, 0.001188f, 0.001237f, 0.001303f, 0.001371f, 0.001466f, 0.001532f, 0.001623f, 0.001701f, 0.001805f, - 0.001945f, 0.002035f, 0.002186f, 0.002329f, 0.002460f, 0.002632f, 0.002819f, 0.003012f, 0.003271f, 0.003550f, 0.003819f, 0.004162f, - 0.004539f, 0.005024f, 0.005585f, 0.006233f, 0.007050f, 0.008072f, 0.009331f, 0.011269f, 0.014160f, 0.018112f, 0.333740f, 0.408447f, - 0.428711f, 0.438232f, 0.443359f, 0.447510f, 0.000053f, 0.000163f, 0.000155f, 0.000160f, 0.000191f, 0.000228f, 0.000206f, 0.000233f, - 0.000248f, 0.000263f, 0.000267f, 0.000294f, 0.000324f, 0.000335f, 0.000364f, 0.000378f, 0.000396f, 0.000435f, 0.000445f, 0.000490f, - 0.000502f, 0.000522f, 0.000543f, 0.000582f, 0.000619f, 0.000665f, 0.000679f, 0.000705f, 0.000755f, 0.000797f, 0.000856f, 0.000887f, - 0.000953f, 0.000988f, 0.001043f, 0.001103f, 0.001177f, 0.001256f, 0.001331f, 0.001410f, 0.001508f, 0.001612f, 0.001734f, 0.001873f, - 0.001999f, 0.002163f, 0.002378f, 0.002565f, 0.002827f, 0.003119f, 0.003479f, 0.003899f, 0.004463f, 0.005116f, 0.005951f, 0.007153f, - 0.009163f, 0.012535f, 0.322510f, 0.400146f, 0.420654f, 0.430176f, 0.436523f, 0.440430f, 0.000097f, 0.000107f, 0.000095f, 0.000087f, - 0.000107f, 0.000110f, 0.000137f, 0.000139f, 0.000140f, 0.000147f, 0.000168f, 0.000175f, 0.000177f, 0.000184f, 0.000210f, 0.000200f, - 0.000224f, 0.000239f, 0.000246f, 0.000258f, 0.000278f, 0.000288f, 0.000312f, 0.000324f, 0.000347f, 0.000368f, 0.000382f, 0.000395f, - 0.000418f, 0.000440f, 0.000471f, 0.000495f, 0.000521f, 0.000547f, 0.000577f, 0.000620f, 0.000649f, 0.000695f, 0.000749f, 0.000785f, - 0.000838f, 0.000897f, 0.000972f, 0.001028f, 0.001118f, 0.001204f, 0.001316f, 0.001432f, 0.001580f, 0.001748f, 0.001961f, 0.002207f, - 0.002533f, 0.002941f, 0.003487f, 0.004223f, 0.005371f, 0.007809f, 0.311523f, 0.390381f, 0.411377f, 0.421875f, 0.428467f, 0.432617f, - 0.000000f, 0.000055f, 0.000046f, 0.000054f, 0.000060f, 0.000058f, 0.000060f, 0.000068f, 0.000068f, 0.000082f, 0.000076f, 0.000078f, - 0.000092f, 0.000087f, 0.000091f, 0.000097f, 0.000105f, 0.000115f, 0.000118f, 0.000124f, 0.000128f, 0.000133f, 0.000139f, 0.000154f, - 0.000160f, 0.000172f, 0.000175f, 0.000191f, 0.000201f, 0.000211f, 0.000221f, 0.000238f, 0.000242f, 0.000257f, 0.000277f, 0.000295f, - 0.000309f, 0.000326f, 0.000351f, 0.000375f, 0.000400f, 0.000428f, 0.000459f, 0.000490f, 0.000535f, 0.000579f, 0.000626f, 0.000683f, - 0.000754f, 0.000836f, 0.000952f, 0.001064f, 0.001237f, 0.001460f, 0.001751f, 0.002157f, 0.002800f, 0.004189f, 0.299561f, 0.380127f, - 0.403076f, 0.413574f, 0.419922f, 0.424072f, 0.000059f, 0.000039f, 0.000032f, 0.000028f, 0.000025f, 0.000025f, 0.000025f, 0.000024f, - 0.000023f, 0.000024f, 0.000026f, 0.000034f, 0.000029f, 0.000031f, 0.000038f, 0.000040f, 0.000042f, 0.000043f, 0.000042f, 0.000043f, - 0.000048f, 0.000054f, 0.000058f, 0.000056f, 0.000060f, 0.000062f, 0.000066f, 0.000069f, 0.000072f, 0.000078f, 0.000082f, 0.000085f, - 0.000093f, 0.000096f, 0.000099f, 0.000106f, 0.000116f, 0.000123f, 0.000132f, 0.000140f, 0.000150f, 0.000154f, 0.000167f, 0.000184f, - 0.000192f, 0.000212f, 0.000231f, 0.000251f, 0.000282f, 0.000314f, 0.000350f, 0.000401f, 0.000463f, 0.000554f, 0.000679f, 0.000861f, - 0.001157f, 0.001750f, 0.289307f, 0.371582f, 0.394043f, 0.406006f, 0.412109f, 0.417236f, 0.000031f, 0.000020f, 0.000016f, 0.000014f, - 0.000013f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000009f, - 0.000009f, 0.000007f, 0.000008f, 0.000008f, 0.000010f, 0.000011f, 0.000012f, 0.000013f, 0.000013f, 0.000013f, 0.000014f, 0.000017f, - 0.000017f, 0.000016f, 0.000018f, 0.000019f, 0.000021f, 0.000021f, 0.000022f, 0.000025f, 0.000027f, 0.000025f, 0.000028f, 0.000030f, - 0.000033f, 0.000036f, 0.000038f, 0.000040f, 0.000042f, 0.000047f, 0.000052f, 0.000057f, 0.000060f, 0.000068f, 0.000073f, 0.000089f, - 0.000104f, 0.000124f, 0.000153f, 0.000204f, 0.000293f, 0.000497f, 0.278076f, 0.362793f, 0.385498f, 0.397705f, 0.405029f, 0.409912f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000005f, 0.000008f, 0.000012f, 0.000026f, 0.267822f, 0.353027f, - 0.376953f, 0.388916f, 0.395996f, 0.401367f, - }, - { - 0.006824f, 0.021286f, 0.036285f, 0.051208f, 0.066467f, 0.082825f, 0.098694f, 0.114563f, 0.130737f, 0.146973f, 0.162720f, 0.179932f, - 0.196411f, 0.212646f, 0.229370f, 0.246338f, 0.263184f, 0.279785f, 0.297363f, 0.314209f, 0.331055f, 0.348389f, 0.365479f, 0.383301f, - 0.400146f, 0.417725f, 0.435303f, 0.451904f, 0.469971f, 0.486816f, 0.503906f, 0.521484f, 0.539551f, 0.556641f, 0.573730f, 0.592285f, - 0.609375f, 0.627441f, 0.644531f, 0.662598f, 0.679688f, 0.696777f, 0.714355f, 0.731934f, 0.749512f, 0.768066f, 0.784180f, 0.802246f, - 0.820312f, 0.837891f, 0.854980f, 0.871582f, 0.889648f, 0.906738f, 0.924805f, 0.941406f, 0.959473f, 0.976074f, 0.953125f, 0.895020f, - 0.857422f, 0.827637f, 0.803223f, 0.781738f, 0.006741f, 0.020706f, 0.035187f, 0.049866f, 0.065125f, 0.079895f, 0.095581f, 0.111206f, - 0.126953f, 0.142822f, 0.158569f, 0.174561f, 0.190796f, 0.207031f, 0.223511f, 0.239380f, 0.256104f, 0.272705f, 0.289307f, 0.305664f, - 0.322754f, 0.338867f, 0.356201f, 0.372314f, 0.389404f, 0.406494f, 0.423828f, 0.440430f, 0.457520f, 0.474854f, 0.491211f, 0.508789f, - 0.525391f, 0.541992f, 0.559082f, 0.576660f, 0.594238f, 0.610840f, 0.627930f, 0.645508f, 0.662598f, 0.679199f, 0.696289f, 0.713379f, - 0.731445f, 0.747559f, 0.765137f, 0.782715f, 0.799805f, 0.816895f, 0.834473f, 0.851074f, 0.868164f, 0.884766f, 0.902344f, 0.919434f, - 0.936523f, 0.953613f, 0.942871f, 0.887695f, 0.851562f, 0.823730f, 0.799805f, 0.779297f, 0.006504f, 0.020004f, 0.033875f, 0.048676f, - 0.063110f, 0.077759f, 0.092712f, 0.108032f, 0.123230f, 0.138672f, 0.153931f, 0.170044f, 0.185791f, 0.200806f, 0.217041f, 0.233276f, - 0.248901f, 0.265137f, 0.280762f, 0.297363f, 0.313721f, 0.329834f, 0.346680f, 0.363037f, 0.378418f, 0.395752f, 0.411621f, 0.428467f, - 0.445312f, 0.461670f, 0.479004f, 0.494873f, 0.511230f, 0.527832f, 0.544434f, 0.561523f, 0.578613f, 0.594727f, 0.611328f, 0.628906f, - 0.645508f, 0.662109f, 0.679199f, 0.695312f, 0.712402f, 0.729004f, 0.746094f, 0.762695f, 0.779297f, 0.796387f, 0.812500f, 0.829590f, - 0.846191f, 0.863281f, 0.879395f, 0.896973f, 0.914062f, 0.930176f, 0.932129f, 0.879395f, 0.845703f, 0.818848f, 0.795898f, 0.776367f, - 0.006226f, 0.019318f, 0.032959f, 0.046631f, 0.060699f, 0.075745f, 0.089966f, 0.104553f, 0.119385f, 0.134277f, 0.149292f, 0.164917f, - 0.179932f, 0.195190f, 0.210693f, 0.226562f, 0.242188f, 0.257568f, 0.273438f, 0.289062f, 0.304932f, 0.320557f, 0.336426f, 0.352539f, - 0.368652f, 0.384766f, 0.400391f, 0.417236f, 0.433105f, 0.448730f, 0.465088f, 0.481689f, 0.497559f, 0.513672f, 0.528809f, 0.546875f, - 0.562500f, 0.578613f, 0.595215f, 0.612793f, 0.627930f, 0.645508f, 0.661621f, 0.677246f, 0.693848f, 0.709961f, 0.726562f, 0.743164f, - 0.759766f, 0.774902f, 0.791992f, 0.808594f, 0.825195f, 0.841309f, 0.856934f, 0.874023f, 0.890625f, 0.907715f, 0.921387f, 0.872070f, - 0.839355f, 0.813477f, 0.791504f, 0.772461f, 0.005928f, 0.018997f, 0.031830f, 0.045380f, 0.059235f, 0.072754f, 0.087463f, 0.101562f, - 0.115723f, 0.130371f, 0.145264f, 0.159668f, 0.175049f, 0.189453f, 0.204468f, 0.219482f, 0.234497f, 0.250000f, 0.266113f, 0.280273f, - 0.295410f, 0.311768f, 0.327393f, 0.343018f, 0.357422f, 0.373779f, 0.389404f, 0.404785f, 0.421143f, 0.437012f, 0.452881f, 0.468262f, - 0.484375f, 0.499512f, 0.515137f, 0.531738f, 0.546875f, 0.562500f, 0.579102f, 0.595215f, 0.610840f, 0.627441f, 0.643555f, 0.659180f, - 0.674805f, 0.691406f, 0.708008f, 0.723145f, 0.738770f, 0.755371f, 0.771484f, 0.787598f, 0.803711f, 0.819824f, 0.835449f, 0.851562f, - 0.867676f, 0.884277f, 0.910156f, 0.864258f, 0.832520f, 0.808105f, 0.787109f, 0.769043f, 0.005939f, 0.018066f, 0.030991f, 0.043488f, - 0.057312f, 0.070557f, 0.084473f, 0.098328f, 0.112610f, 0.126587f, 0.140259f, 0.154907f, 0.169678f, 0.184326f, 0.198608f, 0.213379f, - 0.227783f, 0.242065f, 0.257568f, 0.272705f, 0.287109f, 0.302246f, 0.318115f, 0.333252f, 0.347656f, 0.362549f, 0.378418f, 0.393555f, - 0.408936f, 0.423828f, 0.439697f, 0.455078f, 0.471191f, 0.484863f, 0.500488f, 0.517578f, 0.532227f, 0.547363f, 0.562500f, 0.579102f, - 0.594727f, 0.610352f, 0.625488f, 0.641602f, 0.657227f, 0.671875f, 0.687500f, 0.704102f, 0.719238f, 0.733887f, 0.750488f, 0.767090f, - 0.782715f, 0.798340f, 0.813965f, 0.830566f, 0.845215f, 0.862305f, 0.899902f, 0.855469f, 0.825684f, 0.801758f, 0.782227f, 0.764648f, - 0.005684f, 0.017639f, 0.030334f, 0.042572f, 0.055298f, 0.068054f, 0.081787f, 0.095276f, 0.108765f, 0.122192f, 0.136353f, 0.150513f, - 0.164307f, 0.178467f, 0.192627f, 0.206665f, 0.221436f, 0.234985f, 0.249634f, 0.264404f, 0.278564f, 0.293213f, 0.308350f, 0.321533f, - 0.337646f, 0.353027f, 0.367432f, 0.381592f, 0.395996f, 0.411865f, 0.426758f, 0.441895f, 0.456543f, 0.471680f, 0.485840f, 0.501465f, - 0.517090f, 0.531738f, 0.546387f, 0.562012f, 0.576660f, 0.592773f, 0.608398f, 0.623047f, 0.638672f, 0.654297f, 0.668457f, 0.684082f, - 0.699707f, 0.714844f, 0.730469f, 0.745605f, 0.761230f, 0.777832f, 0.791504f, 0.807617f, 0.823242f, 0.839355f, 0.889160f, 0.847656f, - 0.818848f, 0.796387f, 0.776855f, 0.760254f, 0.005417f, 0.017136f, 0.028778f, 0.041016f, 0.054047f, 0.066528f, 0.079590f, 0.092102f, - 0.105225f, 0.118652f, 0.131714f, 0.145630f, 0.158813f, 0.172607f, 0.186523f, 0.200317f, 0.213745f, 0.227905f, 0.242188f, 0.256104f, - 0.270020f, 0.283936f, 0.299072f, 0.312744f, 0.327148f, 0.341797f, 0.355957f, 0.369629f, 0.384766f, 0.399414f, 0.413574f, 0.427490f, - 0.443115f, 0.457764f, 0.472656f, 0.487061f, 0.501465f, 0.516602f, 0.530762f, 0.545898f, 0.560547f, 0.574707f, 0.589844f, 0.605469f, - 0.619629f, 0.633301f, 0.648926f, 0.665527f, 0.679688f, 0.694824f, 0.709961f, 0.725586f, 0.739746f, 0.755371f, 0.770020f, 0.786133f, - 0.802246f, 0.817383f, 0.877930f, 0.838867f, 0.812012f, 0.790039f, 0.771973f, 0.755371f, 0.005520f, 0.016464f, 0.027695f, 0.039948f, - 0.051575f, 0.063965f, 0.076660f, 0.089111f, 0.101807f, 0.114319f, 0.126953f, 0.140381f, 0.153564f, 0.166992f, 0.180298f, 0.193970f, - 0.207153f, 0.220337f, 0.234131f, 0.248169f, 0.261475f, 0.275146f, 0.288818f, 0.302734f, 0.316162f, 0.330566f, 0.345459f, 0.358887f, - 0.372803f, 0.386719f, 0.401367f, 0.415527f, 0.429199f, 0.443848f, 0.458008f, 0.472412f, 0.486572f, 0.500977f, 0.515137f, 0.529785f, - 0.544434f, 0.558105f, 0.572754f, 0.587891f, 0.601074f, 0.617188f, 0.631836f, 0.645020f, 0.660645f, 0.674805f, 0.689453f, 0.704590f, - 0.719727f, 0.734375f, 0.750000f, 0.764160f, 0.780273f, 0.794922f, 0.866699f, 0.830566f, 0.804688f, 0.784180f, 0.766113f, 0.750977f, - 0.005222f, 0.016022f, 0.026962f, 0.038086f, 0.050049f, 0.061798f, 0.074158f, 0.085876f, 0.098145f, 0.110718f, 0.122986f, 0.135864f, - 0.148438f, 0.161133f, 0.173584f, 0.187378f, 0.199707f, 0.213501f, 0.226440f, 0.240112f, 0.252441f, 0.266113f, 0.279785f, 0.292725f, - 0.306152f, 0.320068f, 0.333984f, 0.347900f, 0.361572f, 0.374512f, 0.387695f, 0.402344f, 0.416504f, 0.429688f, 0.443604f, 0.458008f, - 0.471680f, 0.485596f, 0.499023f, 0.513184f, 0.527832f, 0.541016f, 0.555664f, 0.569336f, 0.583984f, 0.598633f, 0.612793f, 0.626465f, - 0.641602f, 0.656250f, 0.669922f, 0.684570f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, 0.757812f, 0.771484f, 0.855957f, 0.822266f, - 0.797852f, 0.777832f, 0.760742f, 0.746094f, 0.004944f, 0.015327f, 0.026230f, 0.037201f, 0.048187f, 0.059448f, 0.071167f, 0.082642f, - 0.094727f, 0.106506f, 0.119019f, 0.130371f, 0.143555f, 0.155640f, 0.167725f, 0.180908f, 0.193604f, 0.206177f, 0.218506f, 0.231812f, - 0.244873f, 0.257568f, 0.270996f, 0.283203f, 0.296387f, 0.309814f, 0.322754f, 0.336670f, 0.348877f, 0.362061f, 0.376465f, 0.389893f, - 0.402588f, 0.415283f, 0.429443f, 0.443115f, 0.457031f, 0.470459f, 0.483887f, 0.497314f, 0.511230f, 0.524414f, 0.538574f, 0.551758f, - 0.565918f, 0.579590f, 0.593750f, 0.606934f, 0.621094f, 0.635254f, 0.649902f, 0.664062f, 0.678223f, 0.692871f, 0.707031f, 0.721191f, - 0.735840f, 0.750488f, 0.846191f, 0.813477f, 0.790527f, 0.770996f, 0.754883f, 0.740723f, 0.004951f, 0.014656f, 0.025253f, 0.035309f, - 0.046417f, 0.057465f, 0.068665f, 0.079773f, 0.091370f, 0.102844f, 0.114441f, 0.126099f, 0.138062f, 0.150391f, 0.161987f, 0.174561f, - 0.186523f, 0.198730f, 0.211060f, 0.223267f, 0.235352f, 0.248779f, 0.260986f, 0.274414f, 0.286621f, 0.298584f, 0.312256f, 0.324463f, - 0.337158f, 0.350342f, 0.363281f, 0.376953f, 0.389404f, 0.402344f, 0.415283f, 0.428955f, 0.441162f, 0.455322f, 0.467285f, 0.481201f, - 0.493896f, 0.507324f, 0.520996f, 0.534668f, 0.547852f, 0.561035f, 0.575195f, 0.588867f, 0.603027f, 0.616211f, 0.630371f, 0.643555f, - 0.658203f, 0.671875f, 0.686035f, 0.699707f, 0.714844f, 0.729492f, 0.833984f, 0.804688f, 0.782227f, 0.764160f, 0.749512f, 0.735352f, - 0.004700f, 0.014343f, 0.024200f, 0.034515f, 0.044586f, 0.055176f, 0.066162f, 0.077209f, 0.087830f, 0.098816f, 0.110413f, 0.121826f, - 0.132690f, 0.144897f, 0.156372f, 0.168213f, 0.179443f, 0.191650f, 0.203369f, 0.215088f, 0.227661f, 0.239990f, 0.251709f, 0.263916f, - 0.276611f, 0.289551f, 0.301270f, 0.313965f, 0.325928f, 0.338135f, 0.350586f, 0.363037f, 0.376465f, 0.388428f, 0.401123f, 0.414062f, - 0.426514f, 0.439209f, 0.452393f, 0.465088f, 0.478271f, 0.491455f, 0.503906f, 0.517090f, 0.530273f, 0.543457f, 0.556641f, 0.570312f, - 0.583008f, 0.597168f, 0.610352f, 0.624512f, 0.638184f, 0.651367f, 0.665527f, 0.679199f, 0.692871f, 0.708496f, 0.823242f, 0.796387f, - 0.774902f, 0.757812f, 0.742676f, 0.729980f, 0.004395f, 0.013802f, 0.023499f, 0.033173f, 0.043121f, 0.053345f, 0.063538f, 0.073730f, - 0.085083f, 0.095581f, 0.106140f, 0.116760f, 0.127930f, 0.139160f, 0.150757f, 0.161621f, 0.173096f, 0.184814f, 0.196289f, 0.207520f, - 0.219971f, 0.231201f, 0.242920f, 0.254150f, 0.266602f, 0.278320f, 0.290527f, 0.302490f, 0.314209f, 0.326904f, 0.338867f, 0.349854f, - 0.362305f, 0.375488f, 0.387451f, 0.400146f, 0.412354f, 0.424805f, 0.436768f, 0.449219f, 0.461914f, 0.475098f, 0.487061f, 0.500000f, - 0.512695f, 0.525391f, 0.538574f, 0.551758f, 0.564453f, 0.577148f, 0.590820f, 0.604004f, 0.618164f, 0.631348f, 0.644531f, 0.658203f, - 0.672363f, 0.686523f, 0.812500f, 0.786621f, 0.767090f, 0.750977f, 0.736816f, 0.724609f, 0.004425f, 0.013405f, 0.022385f, 0.032043f, - 0.041565f, 0.051605f, 0.061340f, 0.071106f, 0.081116f, 0.091125f, 0.101868f, 0.112671f, 0.123169f, 0.133667f, 0.144897f, 0.155029f, - 0.166748f, 0.177246f, 0.188599f, 0.199585f, 0.211182f, 0.222046f, 0.233643f, 0.245361f, 0.255615f, 0.268066f, 0.279053f, 0.291260f, - 0.303223f, 0.314209f, 0.325684f, 0.338379f, 0.349854f, 0.361572f, 0.374023f, 0.385254f, 0.397949f, 0.409912f, 0.421143f, 0.434082f, - 0.445801f, 0.457764f, 0.470215f, 0.482910f, 0.495361f, 0.508301f, 0.520996f, 0.534180f, 0.546387f, 0.560059f, 0.572266f, 0.584961f, - 0.597168f, 0.610840f, 0.624023f, 0.638184f, 0.650879f, 0.666016f, 0.801270f, 0.778320f, 0.760254f, 0.744141f, 0.730469f, 0.719238f, - 0.004261f, 0.012543f, 0.021591f, 0.031052f, 0.039734f, 0.049164f, 0.058838f, 0.068420f, 0.077881f, 0.087402f, 0.098145f, 0.108276f, - 0.118225f, 0.128784f, 0.138550f, 0.149292f, 0.159790f, 0.170654f, 0.181519f, 0.191772f, 0.203003f, 0.213623f, 0.225098f, 0.235107f, - 0.247070f, 0.257324f, 0.269287f, 0.280273f, 0.291260f, 0.302246f, 0.313721f, 0.325439f, 0.336670f, 0.348145f, 0.359619f, 0.371338f, - 0.382812f, 0.395020f, 0.406738f, 0.418213f, 0.429932f, 0.442139f, 0.454102f, 0.466309f, 0.479004f, 0.490723f, 0.502930f, 0.515625f, - 0.526855f, 0.540527f, 0.552246f, 0.565918f, 0.578613f, 0.591309f, 0.604492f, 0.617188f, 0.630859f, 0.644043f, 0.790039f, 0.769531f, - 0.751953f, 0.737305f, 0.724121f, 0.713379f, 0.003983f, 0.012329f, 0.020538f, 0.029312f, 0.038452f, 0.047241f, 0.056244f, 0.065552f, - 0.075195f, 0.084290f, 0.094238f, 0.103638f, 0.113403f, 0.123413f, 0.133057f, 0.143066f, 0.153076f, 0.163696f, 0.173584f, 0.184204f, - 0.194580f, 0.204834f, 0.215332f, 0.225952f, 0.237305f, 0.247803f, 0.258545f, 0.269531f, 0.280518f, 0.291260f, 0.301758f, 0.312988f, - 0.324219f, 0.335205f, 0.346191f, 0.357178f, 0.368896f, 0.380127f, 0.391113f, 0.403076f, 0.414551f, 0.426270f, 0.437500f, 0.449951f, - 0.460938f, 0.473389f, 0.485596f, 0.497314f, 0.509277f, 0.522461f, 0.533691f, 0.546875f, 0.558594f, 0.571289f, 0.583496f, 0.596680f, - 0.608887f, 0.623047f, 0.778809f, 0.761230f, 0.744141f, 0.730957f, 0.718262f, 0.707031f, 0.003717f, 0.012016f, 0.020142f, 0.028137f, - 0.036682f, 0.045441f, 0.053711f, 0.062927f, 0.071777f, 0.080627f, 0.090210f, 0.099060f, 0.108643f, 0.118164f, 0.127808f, 0.137329f, - 0.147095f, 0.156128f, 0.166748f, 0.175903f, 0.186157f, 0.196655f, 0.206909f, 0.216797f, 0.227417f, 0.236816f, 0.247559f, 0.258301f, - 0.268799f, 0.278809f, 0.289795f, 0.299805f, 0.310547f, 0.321777f, 0.333008f, 0.343262f, 0.354492f, 0.365234f, 0.376953f, 0.387939f, - 0.398438f, 0.410400f, 0.421387f, 0.433105f, 0.444824f, 0.455811f, 0.467529f, 0.479736f, 0.491943f, 0.502930f, 0.515625f, 0.527344f, - 0.540039f, 0.551758f, 0.563965f, 0.576660f, 0.589844f, 0.602539f, 0.767578f, 0.751465f, 0.736328f, 0.723633f, 0.711914f, 0.701660f, - 0.003813f, 0.011337f, 0.019028f, 0.027252f, 0.035583f, 0.043396f, 0.051849f, 0.060028f, 0.068481f, 0.077026f, 0.086121f, 0.095093f, - 0.103821f, 0.112610f, 0.121765f, 0.131470f, 0.140503f, 0.149780f, 0.159058f, 0.168701f, 0.178711f, 0.187744f, 0.197998f, 0.207397f, - 0.217651f, 0.227661f, 0.236694f, 0.246704f, 0.257080f, 0.267334f, 0.277832f, 0.288330f, 0.298584f, 0.308838f, 0.319336f, 0.329590f, - 0.340332f, 0.351318f, 0.361816f, 0.372559f, 0.383301f, 0.395020f, 0.405273f, 0.416260f, 0.427734f, 0.439209f, 0.450195f, 0.462158f, - 0.473389f, 0.485107f, 0.497314f, 0.508301f, 0.520996f, 0.533203f, 0.544922f, 0.557617f, 0.568848f, 0.582031f, 0.757324f, 0.742676f, - 0.729004f, 0.716309f, 0.705566f, 0.695801f, 0.003633f, 0.011040f, 0.018280f, 0.026062f, 0.033569f, 0.041229f, 0.049591f, 0.057373f, - 0.065308f, 0.073975f, 0.082214f, 0.090393f, 0.099243f, 0.107544f, 0.116028f, 0.125854f, 0.134155f, 0.143311f, 0.151978f, 0.160767f, - 0.170410f, 0.179321f, 0.188477f, 0.198242f, 0.207764f, 0.217896f, 0.227051f, 0.236328f, 0.246338f, 0.256104f, 0.265869f, 0.276123f, - 0.285645f, 0.295898f, 0.306152f, 0.316162f, 0.326172f, 0.336914f, 0.347412f, 0.358154f, 0.368164f, 0.378906f, 0.389648f, 0.400146f, - 0.410889f, 0.421631f, 0.432861f, 0.444824f, 0.456055f, 0.466797f, 0.479004f, 0.490234f, 0.501465f, 0.514160f, 0.525879f, 0.537598f, - 0.549316f, 0.561523f, 0.745605f, 0.733887f, 0.721191f, 0.708496f, 0.699219f, 0.689453f, 0.003469f, 0.010429f, 0.017609f, 0.024612f, - 0.032135f, 0.039520f, 0.047516f, 0.055206f, 0.062347f, 0.070618f, 0.078308f, 0.085938f, 0.094727f, 0.102417f, 0.111511f, 0.119446f, - 0.127441f, 0.136475f, 0.144897f, 0.154175f, 0.162476f, 0.171509f, 0.180054f, 0.189697f, 0.198486f, 0.207886f, 0.216553f, 0.225830f, - 0.235229f, 0.244873f, 0.254395f, 0.263428f, 0.273193f, 0.283203f, 0.292969f, 0.302734f, 0.312744f, 0.322510f, 0.333008f, 0.342773f, - 0.353027f, 0.363037f, 0.374023f, 0.384521f, 0.395264f, 0.405762f, 0.416260f, 0.427002f, 0.438232f, 0.449219f, 0.460449f, 0.471924f, - 0.482910f, 0.494629f, 0.506348f, 0.517578f, 0.529785f, 0.541504f, 0.734375f, 0.725098f, 0.712891f, 0.701660f, 0.692383f, 0.683594f, - 0.003328f, 0.009804f, 0.016373f, 0.023727f, 0.030746f, 0.037994f, 0.044952f, 0.052032f, 0.059998f, 0.067383f, 0.074707f, 0.082214f, - 0.089783f, 0.097961f, 0.105774f, 0.114197f, 0.122131f, 0.129517f, 0.137695f, 0.146118f, 0.154419f, 0.163330f, 0.171997f, 0.180664f, - 0.188477f, 0.197388f, 0.206055f, 0.215332f, 0.224365f, 0.233765f, 0.242798f, 0.251709f, 0.260986f, 0.270020f, 0.279785f, 0.289062f, - 0.299561f, 0.308594f, 0.318115f, 0.328613f, 0.338135f, 0.348877f, 0.358154f, 0.368408f, 0.378174f, 0.388916f, 0.399658f, 0.410156f, - 0.420898f, 0.431885f, 0.442871f, 0.453369f, 0.463867f, 0.475342f, 0.486572f, 0.498535f, 0.510742f, 0.521973f, 0.723633f, 0.715820f, - 0.705078f, 0.694336f, 0.686035f, 0.677246f, 0.003090f, 0.009628f, 0.016129f, 0.022644f, 0.029068f, 0.036407f, 0.042633f, 0.049866f, - 0.056946f, 0.063904f, 0.071167f, 0.078186f, 0.085327f, 0.092896f, 0.100098f, 0.107788f, 0.115662f, 0.123230f, 0.131104f, 0.139160f, - 0.146973f, 0.154907f, 0.162964f, 0.171265f, 0.179565f, 0.188110f, 0.196777f, 0.204834f, 0.213745f, 0.222168f, 0.231079f, 0.239868f, - 0.248779f, 0.258057f, 0.267090f, 0.276611f, 0.285645f, 0.294434f, 0.304688f, 0.314209f, 0.323242f, 0.332520f, 0.342773f, 0.353027f, - 0.362549f, 0.373047f, 0.383057f, 0.393311f, 0.404053f, 0.414307f, 0.424561f, 0.435059f, 0.445801f, 0.456787f, 0.467773f, 0.479004f, - 0.490479f, 0.501953f, 0.712891f, 0.707031f, 0.696777f, 0.687500f, 0.679199f, 0.671387f, 0.003096f, 0.009026f, 0.015450f, 0.021606f, - 0.027695f, 0.034302f, 0.040833f, 0.047455f, 0.054077f, 0.060669f, 0.067444f, 0.074097f, 0.081604f, 0.088501f, 0.095337f, 0.102295f, - 0.109375f, 0.116821f, 0.124146f, 0.131592f, 0.139404f, 0.147217f, 0.155029f, 0.162231f, 0.170288f, 0.177979f, 0.186646f, 0.194092f, - 0.203247f, 0.211670f, 0.219604f, 0.228149f, 0.236816f, 0.245605f, 0.254639f, 0.263184f, 0.272217f, 0.281250f, 0.290527f, 0.299805f, - 0.308838f, 0.318604f, 0.327637f, 0.337646f, 0.347900f, 0.356934f, 0.367432f, 0.376953f, 0.387451f, 0.397217f, 0.407227f, 0.417480f, - 0.427979f, 0.439209f, 0.449463f, 0.459717f, 0.470947f, 0.482666f, 0.701172f, 0.698242f, 0.688477f, 0.680176f, 0.671875f, 0.665039f, - 0.002831f, 0.008789f, 0.014702f, 0.020523f, 0.026642f, 0.032684f, 0.038757f, 0.044708f, 0.051666f, 0.057312f, 0.063660f, 0.070190f, - 0.076904f, 0.083435f, 0.090454f, 0.097046f, 0.103821f, 0.110535f, 0.117981f, 0.124817f, 0.131714f, 0.138916f, 0.146606f, 0.153687f, - 0.161011f, 0.168823f, 0.176270f, 0.184570f, 0.192139f, 0.200317f, 0.208008f, 0.216309f, 0.224609f, 0.233032f, 0.241821f, 0.250244f, - 0.258789f, 0.268066f, 0.276611f, 0.285400f, 0.294678f, 0.303223f, 0.312500f, 0.322021f, 0.331787f, 0.340088f, 0.350830f, 0.360596f, - 0.369385f, 0.380371f, 0.389893f, 0.399658f, 0.410645f, 0.420654f, 0.430908f, 0.442383f, 0.452148f, 0.464111f, 0.690430f, 0.688965f, - 0.681152f, 0.672852f, 0.665039f, 0.658691f, 0.002712f, 0.008553f, 0.013878f, 0.019638f, 0.025360f, 0.030716f, 0.037231f, 0.042633f, - 0.048615f, 0.054810f, 0.060638f, 0.066650f, 0.072205f, 0.078796f, 0.085083f, 0.091492f, 0.097961f, 0.104065f, 0.110718f, 0.117859f, - 0.124207f, 0.130981f, 0.138550f, 0.145142f, 0.152588f, 0.160156f, 0.166992f, 0.174561f, 0.181885f, 0.189453f, 0.197754f, 0.205444f, - 0.213013f, 0.220825f, 0.229004f, 0.237061f, 0.246094f, 0.254639f, 0.262939f, 0.271484f, 0.280273f, 0.288818f, 0.298584f, 0.307129f, - 0.316162f, 0.325195f, 0.334229f, 0.344482f, 0.353516f, 0.363525f, 0.372803f, 0.382812f, 0.392822f, 0.402344f, 0.412842f, 0.423096f, - 0.433350f, 0.444092f, 0.679199f, 0.679688f, 0.672852f, 0.665039f, 0.658203f, 0.651855f, 0.002674f, 0.007828f, 0.013290f, 0.018723f, - 0.023743f, 0.029160f, 0.034790f, 0.040100f, 0.045929f, 0.051544f, 0.057068f, 0.063110f, 0.068359f, 0.074280f, 0.080078f, 0.086243f, - 0.092346f, 0.098206f, 0.104919f, 0.110779f, 0.117493f, 0.123291f, 0.130005f, 0.136963f, 0.143677f, 0.150635f, 0.157471f, 0.164307f, - 0.171631f, 0.179199f, 0.186279f, 0.193604f, 0.201904f, 0.209229f, 0.217163f, 0.224976f, 0.233154f, 0.240967f, 0.249634f, 0.258301f, - 0.266113f, 0.274414f, 0.283691f, 0.291748f, 0.301025f, 0.310059f, 0.319336f, 0.327148f, 0.337402f, 0.347168f, 0.355957f, 0.364746f, - 0.375488f, 0.385498f, 0.394043f, 0.405273f, 0.415283f, 0.426025f, 0.667969f, 0.670410f, 0.664551f, 0.657227f, 0.651367f, 0.645508f, - 0.002731f, 0.007622f, 0.012627f, 0.017868f, 0.022781f, 0.028107f, 0.032959f, 0.037811f, 0.043121f, 0.048615f, 0.053925f, 0.059235f, - 0.064514f, 0.070007f, 0.075562f, 0.080688f, 0.086914f, 0.092102f, 0.098083f, 0.104309f, 0.110107f, 0.115906f, 0.122314f, 0.128540f, - 0.135010f, 0.141479f, 0.147949f, 0.154663f, 0.161865f, 0.168579f, 0.175415f, 0.182739f, 0.191040f, 0.197510f, 0.205200f, 0.212891f, - 0.219971f, 0.228638f, 0.236328f, 0.244263f, 0.252686f, 0.260498f, 0.268799f, 0.278076f, 0.286133f, 0.294434f, 0.303223f, 0.312500f, - 0.320801f, 0.329834f, 0.339844f, 0.347656f, 0.357910f, 0.367676f, 0.376709f, 0.386963f, 0.396729f, 0.406982f, 0.656738f, 0.662598f, - 0.656738f, 0.649902f, 0.644531f, 0.638672f, 0.002411f, 0.007168f, 0.012238f, 0.016739f, 0.021957f, 0.026184f, 0.031311f, 0.035583f, - 0.041016f, 0.045685f, 0.050568f, 0.055573f, 0.060791f, 0.065735f, 0.070557f, 0.076111f, 0.081238f, 0.086792f, 0.092163f, 0.097534f, - 0.103271f, 0.108887f, 0.114563f, 0.120605f, 0.126587f, 0.132446f, 0.139038f, 0.145508f, 0.152100f, 0.158447f, 0.165527f, 0.171997f, - 0.178833f, 0.186035f, 0.193481f, 0.200928f, 0.207886f, 0.215820f, 0.222900f, 0.230713f, 0.238770f, 0.246948f, 0.255127f, 0.262695f, - 0.271484f, 0.280029f, 0.287842f, 0.296631f, 0.305420f, 0.313965f, 0.322754f, 0.331787f, 0.340576f, 0.350342f, 0.359375f, 0.369385f, - 0.379150f, 0.388184f, 0.645508f, 0.652832f, 0.648438f, 0.643066f, 0.637695f, 0.632324f, 0.002480f, 0.006691f, 0.011452f, 0.015900f, - 0.020828f, 0.024734f, 0.029327f, 0.033752f, 0.038513f, 0.042999f, 0.047638f, 0.052429f, 0.056671f, 0.061859f, 0.066040f, 0.071289f, - 0.075684f, 0.080688f, 0.086243f, 0.091248f, 0.096436f, 0.101562f, 0.107300f, 0.112366f, 0.118347f, 0.124146f, 0.130249f, 0.135864f, - 0.141968f, 0.148438f, 0.155029f, 0.161377f, 0.167969f, 0.174683f, 0.181641f, 0.188599f, 0.195679f, 0.203247f, 0.210449f, 0.217529f, - 0.225342f, 0.233398f, 0.241577f, 0.249023f, 0.256592f, 0.264893f, 0.273193f, 0.281494f, 0.289795f, 0.297607f, 0.306885f, 0.315430f, - 0.323730f, 0.333496f, 0.342529f, 0.351318f, 0.360840f, 0.370605f, 0.634766f, 0.643555f, 0.640625f, 0.635742f, 0.630859f, 0.625488f, - 0.002230f, 0.006477f, 0.010582f, 0.014870f, 0.019073f, 0.023270f, 0.027893f, 0.031860f, 0.036072f, 0.040253f, 0.044373f, 0.048706f, - 0.052856f, 0.057312f, 0.061859f, 0.066406f, 0.070984f, 0.075317f, 0.080139f, 0.084839f, 0.089661f, 0.094910f, 0.099792f, 0.104858f, - 0.110718f, 0.115356f, 0.121399f, 0.126831f, 0.132690f, 0.138672f, 0.145142f, 0.151001f, 0.157471f, 0.164185f, 0.170532f, 0.177002f, - 0.184082f, 0.191040f, 0.197876f, 0.205200f, 0.212402f, 0.219604f, 0.227295f, 0.234985f, 0.242188f, 0.250244f, 0.257812f, 0.266113f, - 0.274170f, 0.282471f, 0.290771f, 0.299072f, 0.307373f, 0.316162f, 0.326416f, 0.333984f, 0.343750f, 0.353271f, 0.622070f, 0.634277f, - 0.631836f, 0.627930f, 0.623535f, 0.619141f, 0.002220f, 0.006039f, 0.010353f, 0.014328f, 0.017838f, 0.022141f, 0.025742f, 0.029510f, - 0.033600f, 0.037781f, 0.041443f, 0.045502f, 0.049469f, 0.053436f, 0.057190f, 0.061462f, 0.065735f, 0.069946f, 0.074524f, 0.078674f, - 0.083069f, 0.087830f, 0.092468f, 0.097412f, 0.102783f, 0.107910f, 0.112793f, 0.118164f, 0.123901f, 0.129395f, 0.135132f, 0.140991f, - 0.147339f, 0.152954f, 0.159302f, 0.165527f, 0.172363f, 0.178589f, 0.185425f, 0.191895f, 0.199219f, 0.206665f, 0.213989f, 0.221069f, - 0.228516f, 0.236206f, 0.243042f, 0.251709f, 0.258789f, 0.266846f, 0.275146f, 0.283203f, 0.291260f, 0.300537f, 0.308350f, 0.317627f, - 0.326904f, 0.335938f, 0.611816f, 0.625000f, 0.624023f, 0.620117f, 0.616211f, 0.612793f, 0.001965f, 0.005882f, 0.009613f, 0.013184f, - 0.016785f, 0.020370f, 0.024384f, 0.027664f, 0.031311f, 0.035126f, 0.038727f, 0.042572f, 0.046112f, 0.049347f, 0.053253f, 0.056915f, - 0.060883f, 0.064697f, 0.068909f, 0.072693f, 0.076843f, 0.081055f, 0.085754f, 0.090088f, 0.094849f, 0.099609f, 0.104614f, 0.109741f, - 0.114746f, 0.119995f, 0.125488f, 0.130981f, 0.136719f, 0.142700f, 0.148315f, 0.154541f, 0.160522f, 0.166870f, 0.173828f, 0.179932f, - 0.186768f, 0.193604f, 0.200439f, 0.207764f, 0.214844f, 0.221802f, 0.228882f, 0.236328f, 0.244385f, 0.252197f, 0.259277f, 0.268066f, - 0.275635f, 0.283447f, 0.292236f, 0.301270f, 0.309570f, 0.318848f, 0.600098f, 0.616211f, 0.615234f, 0.612793f, 0.609375f, 0.605469f, - 0.001966f, 0.005653f, 0.009109f, 0.012428f, 0.015945f, 0.018967f, 0.022537f, 0.025894f, 0.029175f, 0.032440f, 0.035797f, 0.038818f, - 0.042389f, 0.046051f, 0.049072f, 0.052521f, 0.056335f, 0.059906f, 0.063293f, 0.067017f, 0.070923f, 0.075134f, 0.078979f, 0.083496f, - 0.087646f, 0.091980f, 0.096619f, 0.101196f, 0.105957f, 0.111145f, 0.116028f, 0.121277f, 0.126831f, 0.132080f, 0.137817f, 0.143311f, - 0.149780f, 0.155029f, 0.161621f, 0.167847f, 0.173950f, 0.180786f, 0.187622f, 0.194214f, 0.201050f, 0.207764f, 0.215210f, 0.222046f, - 0.229370f, 0.236816f, 0.244751f, 0.251953f, 0.260010f, 0.268311f, 0.276123f, 0.284180f, 0.293213f, 0.301514f, 0.588379f, 0.606934f, - 0.607422f, 0.604980f, 0.602051f, 0.599609f, 0.001963f, 0.005333f, 0.008377f, 0.011589f, 0.014450f, 0.017593f, 0.021133f, 0.023972f, - 0.027145f, 0.030075f, 0.033295f, 0.035858f, 0.038818f, 0.041992f, 0.045288f, 0.048279f, 0.051849f, 0.054840f, 0.058289f, 0.061737f, - 0.065186f, 0.068848f, 0.072632f, 0.076721f, 0.080505f, 0.084717f, 0.088806f, 0.093079f, 0.097717f, 0.102356f, 0.106934f, 0.111755f, - 0.116882f, 0.121887f, 0.127319f, 0.132935f, 0.138306f, 0.144287f, 0.149902f, 0.156250f, 0.162109f, 0.168579f, 0.174316f, 0.180908f, - 0.187500f, 0.194458f, 0.201538f, 0.208252f, 0.215210f, 0.222656f, 0.229980f, 0.237061f, 0.244629f, 0.252441f, 0.260254f, 0.267334f, - 0.276123f, 0.284180f, 0.576660f, 0.597656f, 0.599609f, 0.598145f, 0.595215f, 0.591797f, 0.001631f, 0.004906f, 0.007805f, 0.010826f, - 0.013802f, 0.016983f, 0.019485f, 0.022079f, 0.024750f, 0.027939f, 0.030136f, 0.033112f, 0.035797f, 0.038727f, 0.041443f, 0.044281f, - 0.047058f, 0.050018f, 0.053253f, 0.056396f, 0.059662f, 0.063049f, 0.066406f, 0.069946f, 0.073730f, 0.077454f, 0.081360f, 0.085388f, - 0.089417f, 0.093750f, 0.098267f, 0.102844f, 0.107727f, 0.112244f, 0.117615f, 0.122253f, 0.127441f, 0.133057f, 0.138550f, 0.144287f, - 0.150024f, 0.156250f, 0.161987f, 0.167969f, 0.174805f, 0.181274f, 0.187744f, 0.194580f, 0.201294f, 0.208374f, 0.215210f, 0.222412f, - 0.229736f, 0.237183f, 0.244629f, 0.252197f, 0.260010f, 0.269287f, 0.566406f, 0.588867f, 0.590820f, 0.590332f, 0.587891f, 0.585938f, - 0.001858f, 0.004318f, 0.007465f, 0.010246f, 0.012550f, 0.015793f, 0.018143f, 0.020782f, 0.022980f, 0.025116f, 0.027924f, 0.030106f, - 0.032623f, 0.035126f, 0.037720f, 0.040283f, 0.042847f, 0.045380f, 0.048492f, 0.051300f, 0.054321f, 0.057373f, 0.060516f, 0.063599f, - 0.067139f, 0.070496f, 0.074219f, 0.078003f, 0.081848f, 0.085754f, 0.089783f, 0.093994f, 0.098267f, 0.102783f, 0.107239f, 0.112366f, - 0.117371f, 0.122498f, 0.127686f, 0.132935f, 0.138428f, 0.144043f, 0.150024f, 0.155884f, 0.161865f, 0.168091f, 0.174316f, 0.180664f, - 0.187622f, 0.194214f, 0.200928f, 0.207520f, 0.214966f, 0.221680f, 0.229370f, 0.236816f, 0.244751f, 0.252441f, 0.553223f, 0.579102f, - 0.583496f, 0.582031f, 0.581055f, 0.579590f, 0.001425f, 0.004284f, 0.007019f, 0.009521f, 0.011894f, 0.014191f, 0.016632f, 0.018723f, - 0.021210f, 0.023209f, 0.025482f, 0.027344f, 0.029617f, 0.032043f, 0.034210f, 0.036407f, 0.039001f, 0.041077f, 0.043976f, 0.046448f, - 0.049133f, 0.051819f, 0.054932f, 0.057770f, 0.060730f, 0.063965f, 0.067322f, 0.070862f, 0.074280f, 0.077698f, 0.082031f, 0.085571f, - 0.089844f, 0.093994f, 0.098022f, 0.102722f, 0.107178f, 0.111877f, 0.116821f, 0.121887f, 0.127075f, 0.132446f, 0.138062f, 0.143799f, - 0.149414f, 0.155518f, 0.161377f, 0.167480f, 0.173950f, 0.180176f, 0.186890f, 0.193481f, 0.200562f, 0.207397f, 0.214355f, 0.221313f, - 0.229492f, 0.237427f, 0.541504f, 0.570801f, 0.575195f, 0.575195f, 0.573730f, 0.572266f, 0.001613f, 0.004181f, 0.006252f, 0.008774f, - 0.011108f, 0.013054f, 0.015152f, 0.016937f, 0.019150f, 0.021011f, 0.023163f, 0.024826f, 0.026993f, 0.028793f, 0.030823f, 0.033081f, - 0.035156f, 0.037201f, 0.039612f, 0.041748f, 0.044464f, 0.046814f, 0.049438f, 0.052155f, 0.054840f, 0.057831f, 0.060699f, 0.063599f, - 0.067078f, 0.070374f, 0.073853f, 0.077087f, 0.081177f, 0.085083f, 0.089111f, 0.093262f, 0.097473f, 0.101929f, 0.106689f, 0.111023f, - 0.116455f, 0.121277f, 0.126343f, 0.132080f, 0.137573f, 0.142700f, 0.148682f, 0.154907f, 0.161133f, 0.167236f, 0.173340f, 0.179688f, - 0.186768f, 0.193115f, 0.200684f, 0.207275f, 0.214233f, 0.221924f, 0.530273f, 0.561523f, 0.565430f, 0.567383f, 0.564941f, 0.564941f, - 0.001237f, 0.003775f, 0.006348f, 0.008141f, 0.010117f, 0.012184f, 0.013763f, 0.015656f, 0.017319f, 0.018967f, 0.020645f, 0.022507f, - 0.023926f, 0.025757f, 0.027573f, 0.029449f, 0.031677f, 0.033325f, 0.035645f, 0.037659f, 0.039734f, 0.041809f, 0.044189f, 0.046692f, - 0.049133f, 0.051697f, 0.054504f, 0.057251f, 0.060059f, 0.063110f, 0.066467f, 0.069763f, 0.072937f, 0.076477f, 0.080505f, 0.084290f, - 0.088013f, 0.092407f, 0.096436f, 0.101013f, 0.105713f, 0.110352f, 0.115356f, 0.120605f, 0.125488f, 0.130981f, 0.136353f, 0.142090f, - 0.148438f, 0.153931f, 0.159912f, 0.166260f, 0.172485f, 0.179321f, 0.185791f, 0.193115f, 0.199463f, 0.206665f, 0.520020f, 0.552246f, - 0.558105f, 0.559570f, 0.559082f, 0.557617f, 0.001151f, 0.003399f, 0.005611f, 0.007439f, 0.009354f, 0.010925f, 0.012489f, 0.014061f, - 0.015610f, 0.017258f, 0.018845f, 0.020248f, 0.021484f, 0.023193f, 0.024796f, 0.026459f, 0.028183f, 0.029785f, 0.031738f, 0.033386f, - 0.035309f, 0.037384f, 0.039368f, 0.041626f, 0.043701f, 0.046204f, 0.048553f, 0.051178f, 0.053955f, 0.056488f, 0.059418f, 0.062256f, - 0.065308f, 0.068542f, 0.071899f, 0.075623f, 0.079224f, 0.082947f, 0.087097f, 0.091064f, 0.095520f, 0.099854f, 0.104736f, 0.109314f, - 0.114136f, 0.119324f, 0.124756f, 0.130127f, 0.135498f, 0.141113f, 0.146973f, 0.153198f, 0.159180f, 0.165527f, 0.172241f, 0.178711f, - 0.185425f, 0.192749f, 0.507324f, 0.543945f, 0.549316f, 0.552246f, 0.551270f, 0.551270f, 0.001070f, 0.002996f, 0.004986f, 0.006851f, - 0.008514f, 0.009850f, 0.011330f, 0.012596f, 0.014015f, 0.015259f, 0.016586f, 0.017731f, 0.019287f, 0.020676f, 0.022079f, 0.023468f, - 0.024765f, 0.026489f, 0.028030f, 0.029465f, 0.031311f, 0.032898f, 0.034851f, 0.036743f, 0.038940f, 0.040833f, 0.043091f, 0.045074f, - 0.047729f, 0.050079f, 0.052673f, 0.055389f, 0.058136f, 0.061188f, 0.064087f, 0.067261f, 0.070618f, 0.074158f, 0.077942f, 0.081726f, - 0.085815f, 0.089783f, 0.094055f, 0.098572f, 0.103088f, 0.107971f, 0.113037f, 0.118164f, 0.123413f, 0.128784f, 0.134521f, 0.140137f, - 0.146118f, 0.152100f, 0.158325f, 0.164307f, 0.171387f, 0.177368f, 0.496094f, 0.534668f, 0.541992f, 0.543945f, 0.544434f, 0.544434f, - 0.001086f, 0.003069f, 0.004463f, 0.006256f, 0.007393f, 0.009026f, 0.010178f, 0.011276f, 0.012260f, 0.013542f, 0.014648f, 0.015808f, - 0.016861f, 0.017899f, 0.019333f, 0.020599f, 0.021942f, 0.023117f, 0.024384f, 0.025833f, 0.027344f, 0.028992f, 0.030579f, 0.032318f, - 0.034149f, 0.035828f, 0.037842f, 0.039764f, 0.041901f, 0.044037f, 0.046539f, 0.048645f, 0.051147f, 0.053894f, 0.056641f, 0.059631f, - 0.062500f, 0.065735f, 0.069031f, 0.072754f, 0.076294f, 0.080139f, 0.083984f, 0.088379f, 0.092712f, 0.097229f, 0.101929f, 0.106873f, - 0.111694f, 0.117004f, 0.122314f, 0.127930f, 0.133789f, 0.139282f, 0.145142f, 0.151367f, 0.157349f, 0.163818f, 0.484619f, 0.525391f, - 0.534180f, 0.536621f, 0.536133f, 0.536621f, 0.001125f, 0.002892f, 0.003883f, 0.005867f, 0.006603f, 0.007935f, 0.009026f, 0.009911f, - 0.010956f, 0.012077f, 0.012909f, 0.013901f, 0.014977f, 0.015671f, 0.016983f, 0.018021f, 0.019058f, 0.020279f, 0.021225f, 0.022598f, - 0.023941f, 0.025299f, 0.026535f, 0.028107f, 0.029755f, 0.031113f, 0.033020f, 0.034668f, 0.036682f, 0.038483f, 0.040527f, 0.042511f, - 0.044708f, 0.046936f, 0.049744f, 0.052216f, 0.054840f, 0.057800f, 0.060791f, 0.064087f, 0.067505f, 0.071045f, 0.074463f, 0.078491f, - 0.082397f, 0.086609f, 0.091248f, 0.095581f, 0.100342f, 0.105530f, 0.110474f, 0.116272f, 0.120972f, 0.126953f, 0.132812f, 0.138672f, - 0.144287f, 0.150513f, 0.472412f, 0.516113f, 0.524902f, 0.528809f, 0.529785f, 0.529785f, 0.000859f, 0.002470f, 0.003815f, 0.005226f, - 0.005913f, 0.007206f, 0.007942f, 0.008652f, 0.009583f, 0.010406f, 0.011223f, 0.011971f, 0.012856f, 0.013664f, 0.014664f, 0.015549f, - 0.016464f, 0.017487f, 0.018478f, 0.019592f, 0.020767f, 0.021774f, 0.023117f, 0.024338f, 0.025604f, 0.027008f, 0.028519f, 0.029953f, - 0.031525f, 0.033173f, 0.034943f, 0.036865f, 0.038696f, 0.040863f, 0.042969f, 0.045471f, 0.048004f, 0.050293f, 0.052979f, 0.055847f, - 0.058960f, 0.062042f, 0.065491f, 0.069153f, 0.072937f, 0.076660f, 0.080750f, 0.085144f, 0.089539f, 0.094177f, 0.099304f, 0.104187f, - 0.109741f, 0.114807f, 0.120483f, 0.125977f, 0.131836f, 0.138306f, 0.460449f, 0.507812f, 0.516602f, 0.520020f, 0.522461f, 0.522949f, - 0.000906f, 0.002359f, 0.003643f, 0.004356f, 0.005310f, 0.005989f, 0.007030f, 0.007507f, 0.008255f, 0.009010f, 0.009834f, 0.010483f, - 0.011230f, 0.011887f, 0.012573f, 0.013367f, 0.014252f, 0.014954f, 0.015900f, 0.016785f, 0.017776f, 0.018631f, 0.019775f, 0.020874f, - 0.022110f, 0.023117f, 0.024368f, 0.025589f, 0.026932f, 0.028549f, 0.029938f, 0.031525f, 0.033325f, 0.035187f, 0.037109f, 0.038971f, - 0.041138f, 0.043396f, 0.045715f, 0.048370f, 0.051025f, 0.053772f, 0.057129f, 0.060089f, 0.063416f, 0.067261f, 0.070679f, 0.075012f, - 0.079285f, 0.083618f, 0.088379f, 0.093018f, 0.098083f, 0.102478f, 0.108093f, 0.114380f, 0.119507f, 0.125488f, 0.448975f, 0.498291f, - 0.508789f, 0.513672f, 0.514648f, 0.516113f, 0.000728f, 0.001932f, 0.003067f, 0.003990f, 0.004784f, 0.005295f, 0.005974f, 0.006584f, - 0.007099f, 0.007652f, 0.008255f, 0.008904f, 0.009491f, 0.010109f, 0.010658f, 0.011497f, 0.012131f, 0.012718f, 0.013535f, 0.014336f, - 0.015083f, 0.016083f, 0.016785f, 0.017761f, 0.018738f, 0.019669f, 0.020691f, 0.021805f, 0.023010f, 0.024170f, 0.025467f, 0.026794f, - 0.028336f, 0.029922f, 0.031555f, 0.033203f, 0.035034f, 0.036987f, 0.039062f, 0.041290f, 0.043671f, 0.046143f, 0.048920f, 0.051880f, - 0.054901f, 0.058228f, 0.061615f, 0.065369f, 0.069214f, 0.073425f, 0.077637f, 0.082214f, 0.087097f, 0.091797f, 0.096497f, 0.102356f, - 0.107483f, 0.113464f, 0.437256f, 0.489746f, 0.500977f, 0.504883f, 0.507812f, 0.509277f, 0.000724f, 0.001842f, 0.002728f, 0.003332f, - 0.004101f, 0.004707f, 0.005020f, 0.005497f, 0.006245f, 0.006603f, 0.007027f, 0.007515f, 0.008156f, 0.008537f, 0.009125f, 0.009659f, - 0.010101f, 0.010864f, 0.011482f, 0.012070f, 0.012756f, 0.013496f, 0.014236f, 0.014931f, 0.015808f, 0.016632f, 0.017487f, 0.018433f, - 0.019379f, 0.020416f, 0.021530f, 0.022583f, 0.023804f, 0.024979f, 0.026443f, 0.027939f, 0.029526f, 0.031235f, 0.033020f, 0.035004f, - 0.037018f, 0.039185f, 0.041595f, 0.044159f, 0.046783f, 0.049866f, 0.052856f, 0.056274f, 0.059906f, 0.063721f, 0.067749f, 0.072327f, - 0.076172f, 0.081299f, 0.085938f, 0.091309f, 0.096558f, 0.101807f, 0.426270f, 0.480469f, 0.492676f, 0.498047f, 0.500488f, 0.501953f, - 0.000673f, 0.001715f, 0.002426f, 0.002953f, 0.003588f, 0.003944f, 0.004200f, 0.004776f, 0.005131f, 0.005527f, 0.005886f, 0.006371f, - 0.006790f, 0.007076f, 0.007538f, 0.008133f, 0.008644f, 0.009140f, 0.009483f, 0.010071f, 0.010689f, 0.011230f, 0.011879f, 0.012474f, - 0.013222f, 0.013916f, 0.014587f, 0.015411f, 0.016190f, 0.016983f, 0.017883f, 0.018845f, 0.019867f, 0.020935f, 0.022141f, 0.023270f, - 0.024567f, 0.026001f, 0.027481f, 0.029114f, 0.030777f, 0.032684f, 0.034698f, 0.036865f, 0.039337f, 0.041748f, 0.044647f, 0.047882f, - 0.050964f, 0.054260f, 0.058258f, 0.062195f, 0.066528f, 0.070679f, 0.075623f, 0.080505f, 0.085510f, 0.090515f, 0.414307f, 0.472168f, - 0.484131f, 0.490234f, 0.492920f, 0.495850f, 0.000484f, 0.001445f, 0.002169f, 0.002569f, 0.002836f, 0.003317f, 0.003569f, 0.003952f, - 0.004215f, 0.004623f, 0.004959f, 0.005306f, 0.005592f, 0.005951f, 0.006306f, 0.006737f, 0.007004f, 0.007492f, 0.007942f, 0.008331f, - 0.008865f, 0.009270f, 0.009781f, 0.010338f, 0.010887f, 0.011429f, 0.012047f, 0.012726f, 0.013336f, 0.014030f, 0.014771f, 0.015572f, - 0.016418f, 0.017258f, 0.018234f, 0.019196f, 0.020279f, 0.021423f, 0.022675f, 0.023987f, 0.025375f, 0.027039f, 0.028702f, 0.030563f, - 0.032623f, 0.034698f, 0.037262f, 0.040039f, 0.042664f, 0.046051f, 0.049194f, 0.052948f, 0.057129f, 0.061371f, 0.065613f, 0.070007f, - 0.075317f, 0.080200f, 0.402588f, 0.462402f, 0.476807f, 0.482666f, 0.485107f, 0.487061f, 0.000459f, 0.001265f, 0.001572f, 0.002138f, - 0.002365f, 0.002775f, 0.002920f, 0.003189f, 0.003454f, 0.003723f, 0.003986f, 0.004250f, 0.004536f, 0.004906f, 0.005150f, 0.005463f, - 0.005787f, 0.006172f, 0.006481f, 0.006794f, 0.007156f, 0.007542f, 0.007980f, 0.008430f, 0.008827f, 0.009361f, 0.009796f, 0.010300f, - 0.010910f, 0.011497f, 0.012161f, 0.012672f, 0.013336f, 0.014183f, 0.014893f, 0.015640f, 0.016541f, 0.017517f, 0.018448f, 0.019485f, - 0.020676f, 0.021912f, 0.023392f, 0.024979f, 0.026627f, 0.028351f, 0.030457f, 0.032806f, 0.035034f, 0.037933f, 0.041229f, 0.044373f, - 0.047821f, 0.052002f, 0.056244f, 0.060547f, 0.065247f, 0.069885f, 0.390869f, 0.453857f, 0.468018f, 0.475098f, 0.478027f, 0.480469f, - 0.000332f, 0.001075f, 0.001464f, 0.001721f, 0.001911f, 0.002235f, 0.002375f, 0.002558f, 0.002834f, 0.002998f, 0.003185f, 0.003441f, - 0.003647f, 0.003952f, 0.004139f, 0.004421f, 0.004631f, 0.004879f, 0.005180f, 0.005447f, 0.005795f, 0.006115f, 0.006416f, 0.006718f, - 0.007099f, 0.007462f, 0.007881f, 0.008331f, 0.008797f, 0.009140f, 0.009735f, 0.010223f, 0.010803f, 0.011337f, 0.011986f, 0.012611f, - 0.013283f, 0.014076f, 0.014847f, 0.015732f, 0.016693f, 0.017700f, 0.018784f, 0.019897f, 0.021317f, 0.022873f, 0.024429f, 0.026306f, - 0.028473f, 0.030960f, 0.033600f, 0.036407f, 0.039856f, 0.043549f, 0.047119f, 0.051392f, 0.055969f, 0.060394f, 0.379639f, 0.444580f, - 0.458984f, 0.467529f, 0.470947f, 0.472900f, 0.000408f, 0.000770f, 0.001271f, 0.001390f, 0.001601f, 0.001762f, 0.001848f, 0.002052f, - 0.002247f, 0.002401f, 0.002491f, 0.002684f, 0.002878f, 0.003086f, 0.003304f, 0.003452f, 0.003626f, 0.003805f, 0.004074f, 0.004257f, - 0.004513f, 0.004807f, 0.005039f, 0.005299f, 0.005638f, 0.005905f, 0.006191f, 0.006516f, 0.006927f, 0.007206f, 0.007645f, 0.008034f, - 0.008415f, 0.008911f, 0.009384f, 0.009941f, 0.010483f, 0.011116f, 0.011711f, 0.012428f, 0.013191f, 0.013969f, 0.014862f, 0.015854f, - 0.016785f, 0.017975f, 0.019348f, 0.020721f, 0.022461f, 0.024445f, 0.026733f, 0.029175f, 0.032227f, 0.035248f, 0.038788f, 0.042755f, - 0.046967f, 0.051636f, 0.367920f, 0.435059f, 0.452148f, 0.459229f, 0.463623f, 0.466797f, 0.000382f, 0.000669f, 0.001037f, 0.001185f, - 0.001293f, 0.001379f, 0.001470f, 0.001565f, 0.001729f, 0.001864f, 0.001928f, 0.002138f, 0.002237f, 0.002398f, 0.002510f, 0.002672f, - 0.002802f, 0.002966f, 0.003134f, 0.003319f, 0.003517f, 0.003723f, 0.003870f, 0.004089f, 0.004311f, 0.004532f, 0.004772f, 0.005013f, - 0.005314f, 0.005573f, 0.005924f, 0.006203f, 0.006523f, 0.006897f, 0.007240f, 0.007660f, 0.008041f, 0.008530f, 0.009048f, 0.009621f, - 0.010201f, 0.010841f, 0.011467f, 0.012192f, 0.013138f, 0.013969f, 0.014931f, 0.016113f, 0.017380f, 0.018936f, 0.020630f, 0.022751f, - 0.025208f, 0.027924f, 0.031311f, 0.034851f, 0.038879f, 0.043274f, 0.356689f, 0.426270f, 0.443848f, 0.451660f, 0.456055f, 0.459473f, - 0.000482f, 0.000542f, 0.000723f, 0.000822f, 0.000881f, 0.001025f, 0.001100f, 0.001209f, 0.001249f, 0.001355f, 0.001522f, 0.001599f, - 0.001708f, 0.001836f, 0.001918f, 0.001970f, 0.002129f, 0.002251f, 0.002357f, 0.002522f, 0.002636f, 0.002768f, 0.002911f, 0.003056f, - 0.003237f, 0.003393f, 0.003605f, 0.003771f, 0.003994f, 0.004234f, 0.004444f, 0.004635f, 0.004932f, 0.005150f, 0.005486f, 0.005779f, - 0.006081f, 0.006458f, 0.006775f, 0.007179f, 0.007668f, 0.008110f, 0.008690f, 0.009209f, 0.009926f, 0.010551f, 0.011330f, 0.012184f, - 0.013184f, 0.014297f, 0.015610f, 0.017181f, 0.019165f, 0.021500f, 0.024384f, 0.027618f, 0.031372f, 0.035614f, 0.345459f, 0.417236f, - 0.435303f, 0.443604f, 0.448730f, 0.451904f, 0.000240f, 0.000479f, 0.000533f, 0.000625f, 0.000716f, 0.000746f, 0.000857f, 0.000835f, - 0.000941f, 0.001024f, 0.001104f, 0.001155f, 0.001204f, 0.001282f, 0.001396f, 0.001453f, 0.001554f, 0.001627f, 0.001737f, 0.001787f, - 0.001894f, 0.002012f, 0.002119f, 0.002218f, 0.002335f, 0.002453f, 0.002611f, 0.002714f, 0.002848f, 0.003050f, 0.003168f, 0.003395f, - 0.003529f, 0.003740f, 0.003963f, 0.004158f, 0.004429f, 0.004688f, 0.004982f, 0.005280f, 0.005600f, 0.005959f, 0.006340f, 0.006775f, - 0.007252f, 0.007748f, 0.008369f, 0.008980f, 0.009705f, 0.010513f, 0.011513f, 0.012665f, 0.014069f, 0.015869f, 0.018158f, 0.020950f, - 0.024338f, 0.028366f, 0.335205f, 0.408203f, 0.427002f, 0.435547f, 0.441162f, 0.445312f, 0.000138f, 0.000265f, 0.000381f, 0.000386f, - 0.000465f, 0.000556f, 0.000558f, 0.000597f, 0.000659f, 0.000748f, 0.000770f, 0.000786f, 0.000829f, 0.000904f, 0.000940f, 0.001021f, - 0.001043f, 0.001139f, 0.001201f, 0.001253f, 0.001327f, 0.001396f, 0.001481f, 0.001555f, 0.001637f, 0.001712f, 0.001813f, 0.001899f, - 0.002005f, 0.002140f, 0.002220f, 0.002348f, 0.002462f, 0.002600f, 0.002733f, 0.002932f, 0.003075f, 0.003279f, 0.003452f, 0.003630f, - 0.003872f, 0.004166f, 0.004436f, 0.004742f, 0.005077f, 0.005459f, 0.005848f, 0.006310f, 0.006874f, 0.007492f, 0.008171f, 0.009026f, - 0.009995f, 0.011307f, 0.013008f, 0.015343f, 0.018265f, 0.021881f, 0.323486f, 0.399170f, 0.418945f, 0.428467f, 0.434326f, 0.437988f, - 0.000165f, 0.000260f, 0.000287f, 0.000296f, 0.000331f, 0.000339f, 0.000360f, 0.000395f, 0.000442f, 0.000482f, 0.000487f, 0.000551f, - 0.000546f, 0.000611f, 0.000640f, 0.000667f, 0.000711f, 0.000742f, 0.000775f, 0.000816f, 0.000876f, 0.000916f, 0.000974f, 0.001015f, - 0.001081f, 0.001123f, 0.001195f, 0.001267f, 0.001317f, 0.001388f, 0.001459f, 0.001558f, 0.001630f, 0.001718f, 0.001804f, 0.001916f, - 0.002033f, 0.002148f, 0.002295f, 0.002455f, 0.002583f, 0.002754f, 0.002941f, 0.003134f, 0.003386f, 0.003639f, 0.003910f, 0.004215f, - 0.004597f, 0.005013f, 0.005520f, 0.006130f, 0.006821f, 0.007690f, 0.008789f, 0.010452f, 0.012909f, 0.016174f, 0.312012f, 0.390381f, - 0.410645f, 0.420654f, 0.426270f, 0.430664f, 0.000057f, 0.000171f, 0.000164f, 0.000170f, 0.000211f, 0.000213f, 0.000229f, 0.000247f, - 0.000267f, 0.000279f, 0.000289f, 0.000317f, 0.000349f, 0.000364f, 0.000390f, 0.000407f, 0.000427f, 0.000467f, 0.000476f, 0.000521f, - 0.000537f, 0.000561f, 0.000578f, 0.000626f, 0.000667f, 0.000714f, 0.000729f, 0.000753f, 0.000806f, 0.000855f, 0.000911f, 0.000945f, - 0.001004f, 0.001054f, 0.001112f, 0.001172f, 0.001251f, 0.001333f, 0.001406f, 0.001489f, 0.001595f, 0.001694f, 0.001811f, 0.001952f, - 0.002090f, 0.002243f, 0.002453f, 0.002638f, 0.002888f, 0.003143f, 0.003489f, 0.003870f, 0.004353f, 0.004921f, 0.005672f, 0.006664f, - 0.008423f, 0.011230f, 0.301758f, 0.381104f, 0.402832f, 0.413330f, 0.418457f, 0.423828f, 0.000096f, 0.000112f, 0.000097f, 0.000090f, - 0.000113f, 0.000119f, 0.000144f, 0.000149f, 0.000151f, 0.000158f, 0.000181f, 0.000184f, 0.000179f, 0.000201f, 0.000224f, 0.000216f, - 0.000237f, 0.000255f, 0.000263f, 0.000276f, 0.000297f, 0.000308f, 0.000332f, 0.000347f, 0.000369f, 0.000395f, 0.000408f, 0.000422f, - 0.000447f, 0.000471f, 0.000500f, 0.000531f, 0.000554f, 0.000583f, 0.000617f, 0.000660f, 0.000690f, 0.000739f, 0.000795f, 0.000833f, - 0.000885f, 0.000948f, 0.001022f, 0.001085f, 0.001175f, 0.001262f, 0.001371f, 0.001487f, 0.001633f, 0.001778f, 0.001986f, 0.002218f, - 0.002502f, 0.002865f, 0.003330f, 0.003979f, 0.004932f, 0.007000f, 0.291260f, 0.372070f, 0.394043f, 0.404541f, 0.412109f, 0.416260f, - 0.000000f, 0.000056f, 0.000049f, 0.000061f, 0.000064f, 0.000061f, 0.000062f, 0.000071f, 0.000072f, 0.000088f, 0.000083f, 0.000086f, - 0.000097f, 0.000094f, 0.000098f, 0.000105f, 0.000116f, 0.000122f, 0.000126f, 0.000134f, 0.000137f, 0.000143f, 0.000150f, 0.000164f, - 0.000171f, 0.000183f, 0.000188f, 0.000204f, 0.000214f, 0.000224f, 0.000236f, 0.000255f, 0.000258f, 0.000277f, 0.000293f, 0.000315f, - 0.000328f, 0.000349f, 0.000376f, 0.000396f, 0.000426f, 0.000454f, 0.000486f, 0.000521f, 0.000563f, 0.000605f, 0.000657f, 0.000714f, - 0.000791f, 0.000866f, 0.000977f, 0.001085f, 0.001243f, 0.001441f, 0.001703f, 0.002058f, 0.002573f, 0.003740f, 0.280029f, 0.362793f, - 0.385742f, 0.397217f, 0.404297f, 0.408936f, 0.000058f, 0.000038f, 0.000031f, 0.000027f, 0.000025f, 0.000026f, 0.000025f, 0.000024f, - 0.000024f, 0.000027f, 0.000030f, 0.000038f, 0.000032f, 0.000035f, 0.000040f, 0.000041f, 0.000044f, 0.000045f, 0.000045f, 0.000047f, - 0.000052f, 0.000058f, 0.000061f, 0.000059f, 0.000065f, 0.000067f, 0.000069f, 0.000073f, 0.000078f, 0.000083f, 0.000089f, 0.000091f, - 0.000099f, 0.000103f, 0.000106f, 0.000114f, 0.000124f, 0.000132f, 0.000141f, 0.000150f, 0.000158f, 0.000164f, 0.000180f, 0.000193f, - 0.000205f, 0.000225f, 0.000245f, 0.000267f, 0.000297f, 0.000329f, 0.000365f, 0.000416f, 0.000479f, 0.000563f, 0.000676f, 0.000839f, - 0.001088f, 0.001589f, 0.270264f, 0.353760f, 0.377197f, 0.390137f, 0.396973f, 0.402100f, 0.000030f, 0.000019f, 0.000016f, 0.000014f, - 0.000013f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000007f, 0.000009f, - 0.000009f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000012f, 0.000014f, 0.000014f, 0.000014f, 0.000015f, 0.000018f, - 0.000017f, 0.000017f, 0.000019f, 0.000020f, 0.000022f, 0.000022f, 0.000023f, 0.000026f, 0.000028f, 0.000027f, 0.000030f, 0.000032f, - 0.000035f, 0.000038f, 0.000040f, 0.000042f, 0.000045f, 0.000049f, 0.000055f, 0.000060f, 0.000065f, 0.000074f, 0.000078f, 0.000095f, - 0.000109f, 0.000129f, 0.000160f, 0.000205f, 0.000284f, 0.000452f, 0.259766f, 0.345703f, 0.369629f, 0.382812f, 0.390625f, 0.395264f, - 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, - 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, - 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000006f, 0.000009f, 0.000012f, 0.000026f, 0.249878f, 0.336182f, - 0.362061f, 0.374512f, 0.382080f, 0.387695f, - } -}; + { + 0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.039917f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + }, + { + 0.000122f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.004147f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.897949f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000732f, 0.996094f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002439f, + 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000366f, 0.078308f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 1.000000f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000122f, 0.001098f, 0.992188f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.005001f, 0.998535f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.902344f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.002928f, + 0.997070f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 1.000000f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000732f, 0.301758f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.002562f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.433594f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.004021f, 0.996582f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001098f, 0.949219f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000610f, + 0.012039f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.002073f, 0.993652f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000854f, 0.725586f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000610f, 0.011856f, 0.998047f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.002905f, 0.995117f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001098f, 0.978027f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, + 0.314941f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000731f, 0.017670f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000366f, 0.005852f, 0.997559f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.003050f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001957f, 0.993652f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001586f, 0.990234f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001220f, 0.986816f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.001220f, + 0.984375f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, + 0.001098f, 0.985352f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.001220f, 0.989258f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000122f, 0.001341f, 0.993652f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.001586f, 0.996094f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.002802f, 0.997559f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000117f, 0.000122f, 0.000122f, 0.000243f, 0.006088f, 0.998535f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.026321f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000732f, 0.892578f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000975f, + 0.993652f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.002317f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.017944f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000731f, 0.983887f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, + 0.000122f, 0.000122f, 0.001653f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.026108f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000732f, 0.995605f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.003777f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000365f, 0.991211f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002195f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000364f, 0.993164f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.002672f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000360f, 0.998047f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.017075f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000731f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.997070f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.006874f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000480f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.996582f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000067f, 0.005440f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000365f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000121f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.995605f, 0.995117f, 0.995117f, 0.995605f, 0.995117f, 0.995117f, + }, + { + 0.003168f, 0.995605f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000976f, 0.053314f, 0.994629f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000122f, 0.000122f, 0.000732f, 0.003660f, 0.653809f, 0.995117f, 0.998047f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.001463f, 0.010452f, 0.947266f, 0.995605f, + 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000853f, 0.002928f, 0.037750f, + 0.980957f, 0.996582f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000610f, 0.001342f, + 0.006100f, 0.314453f, 0.989746f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, + 0.001091f, 0.002317f, 0.015839f, 0.910645f, 0.993652f, 0.997559f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000366f, 0.000732f, 0.001463f, 0.005302f, 0.068909f, 0.977539f, 0.995605f, 0.998047f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000244f, 0.000732f, 0.001098f, 0.002560f, 0.011551f, 0.658691f, 0.989746f, + 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000732f, 0.001585f, 0.004868f, 0.041077f, + 0.958984f, 0.994141f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000732f, 0.001215f, 0.002802f, + 0.010834f, 0.441895f, 0.987305f, 0.996094f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000488f, 0.000850f, + 0.001586f, 0.004753f, 0.039154f, 0.948242f, 0.993652f, 0.997559f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, + 0.000732f, 0.001220f, 0.003159f, 0.012032f, 0.480713f, 0.985840f, 0.996094f, 0.998047f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000240f, 0.000731f, 0.001097f, 0.001950f, 0.005966f, 0.054413f, 0.957520f, 0.994141f, + 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000486f, 0.000732f, 0.001534f, 0.003536f, 0.016937f, 0.726562f, + 0.988281f, 0.996582f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000732f, 0.001098f, 0.002192f, 0.008278f, + 0.125244f, 0.974121f, 0.994629f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000731f, 0.000947f, 0.001828f, + 0.005314f, 0.031677f, 0.916016f, 0.991699f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, + 0.001339f, 0.003294f, 0.014389f, 0.562012f, 0.985840f, 0.996094f, 0.998047f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, + 0.000732f, 0.001098f, 0.002310f, 0.008163f, 0.123779f, 0.973633f, 0.994629f, 0.997559f, + 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000365f, 0.000732f, 0.001097f, 0.002071f, 0.005669f, 0.041199f, 0.937988f, 0.992676f, + 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000366f, 0.000728f, 0.000732f, 0.001585f, 0.004143f, 0.020813f, 0.813965f, + 0.989746f, 0.996582f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, 0.001220f, 0.003292f, 0.012581f, + 0.446533f, 0.984863f, 0.996094f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000471f, 0.000732f, 0.001220f, 0.002796f, + 0.009338f, 0.161865f, 0.977051f, 0.995117f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000732f, 0.001098f, + 0.002285f, 0.006870f, 0.074097f, 0.965820f, 0.994141f, 0.997559f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000731f, + 0.001086f, 0.001945f, 0.005238f, 0.043732f, 0.947754f, 0.993652f, 0.997559f, 0.998535f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, + 0.000730f, 0.000893f, 0.001826f, 0.004871f, 0.030411f, 0.922852f, 0.992188f, 0.997559f, + 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000243f, 0.000609f, 0.000732f, 0.001407f, 0.004375f, 0.023758f, 0.892090f, 0.992188f, + 0.997070f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000605f, 0.000732f, 0.001579f, 0.003941f, 0.020767f, 0.862793f, + 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000238f, 0.000483f, 0.000732f, 0.001449f, 0.003654f, 0.018951f, + 0.847656f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000233f, 0.000485f, 0.000732f, 0.001308f, 0.003353f, + 0.018997f, 0.855469f, 0.991699f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000118f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, 0.000732f, 0.001292f, + 0.003649f, 0.019791f, 0.881836f, 0.992188f, 0.997559f, 0.998535f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000432f, 0.000732f, + 0.001220f, 0.003635f, 0.021912f, 0.916992f, 0.993652f, 0.997559f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, + 0.000732f, 0.001245f, 0.004002f, 0.028107f, 0.946289f, 0.994141f, 0.998047f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000085f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000475f, 0.000732f, 0.001611f, 0.004581f, 0.040466f, 0.966309f, 0.995605f, 0.998535f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000487f, 0.000732f, 0.001703f, 0.005589f, 0.073486f, 0.979980f, 0.996094f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000475f, 0.000732f, 0.001706f, 0.006809f, 0.198730f, 0.987305f, + 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000488f, 0.000732f, 0.002071f, 0.009590f, 0.647949f, + 0.992188f, 0.997559f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000710f, 0.001093f, 0.002541f, 0.015533f, + 0.922852f, 0.995117f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000728f, 0.001218f, 0.003387f, + 0.034454f, 0.975586f, 0.996582f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000365f, 0.000731f, 0.001219f, + 0.004959f, 0.161865f, 0.989746f, 0.998047f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000366f, 0.000731f, + 0.001767f, 0.009331f, 0.849121f, 0.994629f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000487f, + 0.000732f, 0.002644f, 0.024231f, 0.977051f, 0.997559f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000685f, 0.001217f, 0.004139f, 0.195435f, 0.992676f, 0.998535f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000362f, 0.000731f, 0.001570f, 0.010086f, 0.944824f, 0.997070f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000365f, 0.000745f, 0.002781f, 0.051758f, 0.990723f, 0.998535f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000599f, 0.001176f, 0.006641f, 0.899414f, 0.997070f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000731f, 0.002066f, 0.032654f, 0.991211f, 0.998535f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000448f, 0.001088f, 0.005440f, 0.918457f, 0.997070f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000725f, 0.001822f, 0.038452f, 0.994141f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000329f, 0.000848f, 0.005672f, 0.972168f, + 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000581f, 0.001982f, 0.155273f, + 0.997070f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000330f, 0.000848f, 0.009247f, + 0.992676f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000589f, 0.002625f, + 0.958496f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.001199f, + 0.083374f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000716f, + 0.007244f, 0.996582f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.002277f, 0.991211f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000070f, 0.000121f, 0.000122f, 0.000122f, + 0.000854f, 0.950684f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000121f, 0.000122f, + 0.000475f, 0.067139f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000122f, + 0.000002f, 0.005859f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, + 0.000014f, 0.001376f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000121f, 0.000572f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000077f, 0.000002f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000103f, 0.992188f, 0.991699f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.940430f, 0.940430f, 0.940918f, 0.940918f, 0.940430f, 0.940430f, + }, + { + 0.014023f, 0.979492f, 0.994629f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000488f, 0.004757f, 0.163330f, 0.975098f, 0.993164f, 0.996582f, 0.997559f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000610f, 0.002928f, 0.017166f, 0.563965f, 0.978027f, 0.992676f, 0.996094f, + 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000364f, 0.000732f, 0.002192f, 0.006573f, 0.044952f, 0.830566f, 0.980957f, + 0.992676f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000366f, 0.000854f, 0.001586f, 0.004253f, 0.014313f, 0.130371f, + 0.919922f, 0.984375f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000488f, 0.000854f, 0.001342f, 0.003025f, 0.007305f, + 0.028870f, 0.407715f, 0.954590f, 0.987305f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000609f, 0.000842f, 0.000976f, 0.002193f, + 0.005112f, 0.012505f, 0.066589f, 0.768066f, 0.970703f, 0.989746f, 0.994629f, 0.996582f, + 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000244f, 0.000599f, 0.000609f, 0.000976f, + 0.001829f, 0.003046f, 0.007256f, 0.023499f, 0.194946f, 0.908691f, 0.979980f, 0.991699f, + 0.995117f, 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000488f, 0.000609f, + 0.000976f, 0.001583f, 0.002647f, 0.004726f, 0.012169f, 0.050537f, 0.568359f, 0.954102f, + 0.985840f, 0.993164f, 0.995605f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000488f, + 0.000610f, 0.000975f, 0.001211f, 0.001946f, 0.003532f, 0.007793f, 0.022446f, 0.139648f, + 0.856445f, 0.974121f, 0.989746f, 0.994141f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, + 0.000310f, 0.000609f, 0.000807f, 0.001098f, 0.001822f, 0.002794f, 0.005699f, 0.012878f, + 0.047821f, 0.469238f, 0.941406f, 0.982910f, 0.991699f, 0.995117f, 0.996582f, 0.997559f, + 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000244f, 0.000244f, 0.000609f, 0.000732f, 0.001098f, 0.001461f, 0.002274f, 0.004025f, + 0.008247f, 0.023254f, 0.135254f, 0.833984f, 0.969727f, 0.987793f, 0.993652f, 0.995605f, + 0.997070f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000207f, 0.000244f, 0.000609f, 0.000610f, 0.001096f, 0.001098f, 0.002071f, + 0.003370f, 0.006172f, 0.014442f, 0.052795f, 0.486572f, 0.940430f, 0.981934f, 0.991699f, + 0.994629f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000485f, 0.000610f, 0.001080f, 0.001098f, + 0.001742f, 0.002668f, 0.004692f, 0.010147f, 0.028076f, 0.168701f, 0.854004f, 0.970703f, + 0.988770f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000487f, 0.000610f, 0.000731f, + 0.001098f, 0.001413f, 0.002411f, 0.003895f, 0.007072f, 0.017242f, 0.069580f, 0.605957f, + 0.948730f, 0.983398f, 0.992188f, 0.995117f, 0.996582f, 0.997559f, 0.998047f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000244f, 0.000609f, + 0.000610f, 0.001094f, 0.001337f, 0.001828f, 0.003275f, 0.005814f, 0.012054f, 0.036987f, + 0.270752f, 0.899414f, 0.975586f, 0.989746f, 0.993652f, 0.996094f, 0.997070f, 0.998047f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, 0.000365f, + 0.000597f, 0.000610f, 0.000970f, 0.001098f, 0.001815f, 0.002771f, 0.005009f, 0.008888f, + 0.023804f, 0.115845f, 0.775879f, 0.962891f, 0.986328f, 0.993164f, 0.995605f, 0.997070f, + 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000244f, 0.000536f, 0.000731f, 0.000937f, 0.001203f, 0.001581f, 0.002186f, 0.004005f, + 0.007061f, 0.016830f, 0.061218f, 0.522949f, 0.940430f, 0.981934f, 0.991211f, 0.994629f, + 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000363f, 0.000487f, 0.000731f, 0.000732f, 0.001097f, 0.001339f, 0.002071f, + 0.003498f, 0.005947f, 0.012390f, 0.037964f, 0.268799f, 0.896973f, 0.975586f, 0.989258f, + 0.994141f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000244f, 0.000366f, 0.000609f, 0.000610f, 0.001094f, 0.001215f, + 0.002056f, 0.003183f, 0.004742f, 0.009880f, 0.026337f, 0.139526f, 0.813477f, 0.966309f, + 0.986816f, 0.993164f, 0.996094f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000163f, 0.000363f, 0.000600f, 0.000731f, 0.001088f, + 0.001216f, 0.001616f, 0.002640f, 0.004402f, 0.008156f, 0.019669f, 0.083191f, 0.664062f, + 0.953125f, 0.984375f, 0.992188f, 0.995117f, 0.997070f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000244f, 0.000523f, 0.000731f, + 0.000732f, 0.001097f, 0.001690f, 0.002169f, 0.003998f, 0.006939f, 0.015808f, 0.055634f, + 0.471191f, 0.935059f, 0.980957f, 0.991211f, 0.995117f, 0.996582f, 0.997559f, 0.998047f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000336f, 0.000486f, + 0.000731f, 0.000732f, 0.001097f, 0.001558f, 0.002069f, 0.003525f, 0.006058f, 0.013062f, + 0.040894f, 0.306396f, 0.910156f, 0.978027f, 0.990234f, 0.994141f, 0.996582f, 0.997559f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000113f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000360f, + 0.000515f, 0.000731f, 0.000731f, 0.001094f, 0.001219f, 0.002148f, 0.003159f, 0.005577f, + 0.011360f, 0.031952f, 0.203979f, 0.874512f, 0.973633f, 0.989258f, 0.994141f, 0.996582f, + 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000325f, 0.000366f, 0.000731f, 0.000731f, 0.001093f, 0.001219f, 0.001820f, 0.002916f, + 0.005291f, 0.009758f, 0.026352f, 0.145020f, 0.832520f, 0.969238f, 0.988281f, 0.993652f, + 0.996094f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000244f, 0.000440f, 0.000605f, 0.000731f, 0.001086f, 0.001097f, 0.001646f, + 0.002670f, 0.004230f, 0.008835f, 0.022415f, 0.112183f, 0.786133f, 0.966309f, 0.987793f, + 0.993652f, 0.996094f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000272f, 0.000358f, 0.000565f, 0.000731f, 0.000790f, 0.001210f, + 0.001573f, 0.002434f, 0.004360f, 0.008102f, 0.020660f, 0.092896f, 0.741699f, 0.962891f, + 0.987305f, 0.993164f, 0.996094f, 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000364f, 0.000723f, 0.000731f, 0.000731f, + 0.001216f, 0.001698f, 0.002510f, 0.003998f, 0.007484f, 0.018463f, 0.082336f, 0.709961f, + 0.961426f, 0.986816f, 0.993652f, 0.996094f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000362f, 0.000704f, 0.000730f, + 0.000845f, 0.001096f, 0.001513f, 0.002302f, 0.003941f, 0.007168f, 0.017746f, 0.076782f, + 0.693848f, 0.961426f, 0.987305f, 0.993652f, 0.996094f, 0.997559f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000364f, 0.000579f, + 0.000728f, 0.000731f, 0.001096f, 0.001491f, 0.002069f, 0.003899f, 0.007195f, 0.017059f, + 0.075439f, 0.701172f, 0.962402f, 0.987793f, 0.993652f, 0.996094f, 0.997559f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000357f, + 0.000482f, 0.000730f, 0.000731f, 0.001094f, 0.001334f, 0.002230f, 0.003708f, 0.007217f, + 0.017410f, 0.079163f, 0.730469f, 0.965820f, 0.988281f, 0.994141f, 0.996582f, 0.998047f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, + 0.000243f, 0.000365f, 0.000729f, 0.000731f, 0.001095f, 0.001330f, 0.002066f, 0.003637f, + 0.007118f, 0.018112f, 0.087708f, 0.775391f, 0.969238f, 0.989258f, 0.994629f, 0.997070f, + 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000073f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000323f, 0.000390f, 0.000729f, 0.000731f, 0.001094f, 0.001332f, 0.002275f, + 0.003782f, 0.007252f, 0.019379f, 0.105042f, 0.827637f, 0.973145f, 0.990723f, 0.994629f, + 0.997070f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000114f, 0.000121f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000240f, 0.000369f, 0.000729f, 0.000731f, 0.001093f, 0.001330f, + 0.002209f, 0.003937f, 0.007896f, 0.021805f, 0.137207f, 0.876953f, 0.979004f, 0.991699f, + 0.995605f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000272f, 0.000479f, 0.000727f, 0.000731f, 0.001085f, + 0.001331f, 0.002291f, 0.004105f, 0.008446f, 0.025024f, 0.202271f, 0.916504f, 0.982910f, + 0.993164f, 0.996094f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000120f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000360f, 0.000469f, 0.000681f, 0.000731f, + 0.001092f, 0.001331f, 0.002184f, 0.004227f, 0.009521f, 0.030899f, 0.335205f, 0.945312f, + 0.986816f, 0.993652f, 0.996582f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000116f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, 0.000429f, 0.000726f, + 0.000731f, 0.001091f, 0.001649f, 0.002464f, 0.004810f, 0.010895f, 0.041931f, 0.563477f, + 0.963867f, 0.989746f, 0.995117f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000101f, 0.000120f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000288f, 0.000481f, + 0.000720f, 0.000731f, 0.001093f, 0.001571f, 0.002735f, 0.005405f, 0.013199f, 0.064880f, + 0.786133f, 0.976562f, 0.992188f, 0.995605f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000240f, + 0.000481f, 0.000727f, 0.000731f, 0.001093f, 0.001655f, 0.003132f, 0.005909f, 0.017181f, + 0.123169f, 0.904297f, 0.984375f, 0.993652f, 0.996582f, 0.998047f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000120f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000264f, 0.000392f, 0.000727f, 0.000835f, 0.001196f, 0.001765f, 0.003252f, 0.007343f, + 0.024521f, 0.304199f, 0.954102f, 0.989258f, 0.995605f, 0.997559f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000034f, 0.000119f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000235f, 0.000375f, 0.000728f, 0.000822f, 0.001095f, 0.002024f, 0.003952f, + 0.009193f, 0.040894f, 0.694824f, 0.975586f, 0.992676f, 0.996582f, 0.998047f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000112f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000307f, 0.000475f, 0.000728f, 0.000943f, 0.001216f, 0.002283f, + 0.004829f, 0.013008f, 0.092224f, 0.908203f, 0.986328f, 0.995117f, 0.997559f, 0.998535f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000073f, 0.000118f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000576f, 0.000728f, 0.001073f, 0.001569f, + 0.002668f, 0.005947f, 0.020889f, 0.331543f, 0.965820f, 0.992188f, 0.996582f, 0.998047f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000100f, 0.000120f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000362f, 0.000630f, 0.000729f, 0.001087f, + 0.001567f, 0.003241f, 0.008240f, 0.043793f, 0.824219f, 0.984375f, 0.994629f, 0.997559f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000075f, 0.000119f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000363f, 0.000689f, 0.000730f, + 0.001185f, 0.002022f, 0.004108f, 0.013702f, 0.161011f, 0.957031f, 0.991699f, 0.996582f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000105f, 0.000120f, + 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000156f, 0.000372f, 0.000689f, + 0.000730f, 0.001198f, 0.002651f, 0.006214f, 0.028854f, 0.750000f, 0.984375f, 0.995605f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000102f, + 0.000118f, 0.000120f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000472f, + 0.000724f, 0.000966f, 0.001658f, 0.003397f, 0.010582f, 0.116028f, 0.959473f, 0.993164f, + 0.997559f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000111f, 0.000119f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000130f, + 0.000479f, 0.000726f, 0.001163f, 0.002157f, 0.004829f, 0.024338f, 0.776855f, 0.987793f, + 0.996582f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000097f, 0.000117f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000219f, 0.000580f, 0.000728f, 0.001203f, 0.002872f, 0.009109f, 0.130371f, 0.972168f, + 0.995117f, 0.998047f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000112f, 0.000118f, 0.000121f, 0.000121f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000333f, 0.000681f, 0.000940f, 0.001629f, 0.004120f, 0.025467f, 0.890625f, + 0.991699f, 0.997559f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000083f, 0.000116f, 0.000120f, + 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000353f, 0.000722f, 0.000961f, 0.002403f, 0.009354f, 0.295166f, + 0.985840f, 0.997070f, 0.999512f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000105f, + 0.000118f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000130f, 0.000427f, 0.000605f, 0.001345f, 0.004620f, 0.041229f, + 0.966797f, 0.996094f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000074f, 0.000114f, 0.000119f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000089f, 0.000562f, 0.000942f, 0.002352f, 0.012459f, + 0.854004f, 0.994141f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000103f, 0.000117f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000007f, 0.000002f, 0.000231f, 0.000596f, 0.001180f, 0.005474f, + 0.211426f, 0.991211f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000118f, 0.000120f, 0.000121f, + 0.000121f, 0.000122f, 0.000029f, 0.000004f, 0.000001f, 0.000348f, 0.000896f, 0.002764f, + 0.032562f, 0.984375f, 0.998535f, 0.998535f, 0.999023f, 0.998535f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000089f, 0.000116f, 0.000119f, + 0.000121f, 0.000121f, 0.000121f, 0.000013f, 0.000003f, 0.000075f, 0.000586f, 0.001508f, + 0.010292f, 0.963379f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000107f, + 0.000118f, 0.000120f, 0.000121f, 0.000116f, 0.000008f, 0.000002f, 0.000233f, 0.000857f, + 0.004566f, 0.834961f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000083f, 0.000114f, 0.000119f, 0.000120f, 0.000060f, 0.000005f, 0.000001f, 0.000557f, + 0.002064f, 0.182373f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000103f, 0.000117f, 0.000120f, 0.000024f, 0.000003f, 0.000168f, + 0.000968f, 0.026428f, 0.996582f, 0.997070f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000047f, 0.000110f, 0.000118f, 0.000017f, 0.000002f, + 0.000513f, 0.006870f, 0.995605f, 0.995605f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000096f, 0.000115f, 0.000011f, + 0.000042f, 0.001919f, 0.992676f, 0.992676f, 0.992676f, 0.992676f, 0.992676f, 0.992676f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000044f, 0.000109f, + 0.000008f, 0.000314f, 0.985840f, 0.985840f, 0.985840f, 0.985840f, 0.986328f, 0.985840f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000089f, 0.000060f, 0.964355f, 0.964355f, 0.963867f, 0.963867f, 0.963379f, 0.964355f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000022f, 0.818848f, 0.819824f, 0.819336f, 0.819824f, 0.819824f, 0.819824f, + }, + { + 0.038849f, 0.941406f, 0.984375f, 0.992188f, 0.994141f, 0.996094f, 0.996582f, 0.997070f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, + 0.001582f, 0.014984f, 0.262451f, 0.930664f, 0.979980f, 0.989258f, 0.993164f, 0.995117f, + 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, + 0.000244f, 0.002317f, 0.009003f, 0.047180f, 0.524902f, 0.936523f, 0.978027f, 0.988281f, + 0.992188f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, + 0.000122f, 0.001098f, 0.002560f, 0.006824f, 0.020493f, 0.108826f, 0.715820f, 0.946289f, + 0.978516f, 0.988281f, 0.992188f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000607f, 0.001098f, 0.002310f, 0.005646f, 0.012825f, 0.040131f, 0.231201f, + 0.825195f, 0.954590f, 0.979980f, 0.988281f, 0.992188f, 0.994141f, 0.995117f, 0.996582f, + 0.996582f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000244f, 0.000609f, 0.001341f, 0.002310f, 0.004208f, 0.008865f, 0.021591f, + 0.074585f, 0.439209f, 0.885742f, 0.962402f, 0.981934f, 0.989258f, 0.992676f, 0.994141f, + 0.995605f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 0.999512f, + 0.000000f, 0.000122f, 0.000483f, 0.000610f, 0.001460f, 0.002192f, 0.003994f, 0.007030f, + 0.013847f, 0.036316f, 0.146362f, 0.661621f, 0.921875f, 0.969238f, 0.983398f, 0.989746f, + 0.993164f, 0.994141f, 0.995605f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000243f, 0.000604f, 0.000730f, 0.001307f, 0.001944f, 0.003017f, + 0.004997f, 0.009834f, 0.021606f, 0.063416f, 0.295410f, 0.808594f, 0.944336f, 0.974609f, + 0.985352f, 0.990234f, 0.993652f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, 1.000000f, + 0.000000f, 0.000000f, 0.000119f, 0.000366f, 0.000495f, 0.000731f, 0.001217f, 0.001823f, + 0.002796f, 0.004398f, 0.007656f, 0.015366f, 0.035828f, 0.119263f, 0.531738f, 0.886230f, + 0.958496f, 0.979004f, 0.986816f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000244f, 0.000366f, 0.000607f, 0.000731f, 0.001211f, + 0.001650f, 0.002441f, 0.003975f, 0.006207f, 0.011536f, 0.023315f, 0.060822f, 0.242798f, + 0.744141f, 0.927734f, 0.969238f, 0.982422f, 0.989258f, 0.992188f, 0.994141f, 0.995605f, + 0.996094f, 0.996582f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000211f, 0.000455f, 0.000486f, 0.000853f, + 0.001081f, 0.001810f, 0.002426f, 0.003759f, 0.005501f, 0.009094f, 0.016876f, 0.037109f, + 0.114075f, 0.475586f, 0.862305f, 0.951172f, 0.975586f, 0.985840f, 0.990234f, 0.992676f, + 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000364f, 0.000366f, 0.000464f, + 0.000731f, 0.001093f, 0.001577f, 0.002235f, 0.002798f, 0.004841f, 0.007637f, 0.013008f, + 0.025635f, 0.063965f, 0.238403f, 0.720215f, 0.919434f, 0.965820f, 0.981445f, 0.987793f, + 0.991211f, 0.993652f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000238f, 0.000609f, + 0.000712f, 0.000974f, 0.000976f, 0.001507f, 0.002031f, 0.002680f, 0.004066f, 0.006294f, + 0.010284f, 0.018326f, 0.040924f, 0.124146f, 0.485596f, 0.859375f, 0.949707f, 0.975586f, + 0.984375f, 0.989746f, 0.992676f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997070f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000113f, 0.000487f, + 0.000488f, 0.000610f, 0.000961f, 0.000976f, 0.001337f, 0.001705f, 0.002663f, 0.003521f, + 0.005417f, 0.008408f, 0.014809f, 0.028793f, 0.073120f, 0.270996f, 0.741699f, 0.922363f, + 0.965332f, 0.980957f, 0.987793f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.997070f, + 0.997070f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000244f, 0.000224f, + 0.000486f, 0.000609f, 0.000610f, 0.000973f, 0.000975f, 0.001306f, 0.001703f, 0.002350f, + 0.003239f, 0.004848f, 0.007122f, 0.011955f, 0.021820f, 0.048859f, 0.152710f, 0.554199f, + 0.875977f, 0.953125f, 0.976562f, 0.985352f, 0.990234f, 0.993164f, 0.994629f, 0.995605f, + 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000234f, + 0.000244f, 0.000485f, 0.000488f, 0.000610f, 0.000969f, 0.000975f, 0.001335f, 0.001693f, + 0.001991f, 0.002811f, 0.004097f, 0.006397f, 0.009903f, 0.017303f, 0.035034f, 0.094421f, + 0.354736f, 0.795898f, 0.933594f, 0.969238f, 0.981934f, 0.988281f, 0.991699f, 0.993652f, + 0.995117f, 0.996094f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000244f, 0.000244f, 0.000480f, 0.000608f, 0.000488f, 0.000922f, 0.000975f, 0.000976f, + 0.001339f, 0.001827f, 0.002674f, 0.003891f, 0.005688f, 0.008324f, 0.014320f, 0.026917f, + 0.064392f, 0.216431f, 0.668945f, 0.904785f, 0.959961f, 0.978516f, 0.986816f, 0.990723f, + 0.993652f, 0.994141f, 0.996094f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 1.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000188f, 0.000220f, 0.000480f, 0.000608f, 0.000609f, 0.000876f, 0.000975f, + 0.000976f, 0.001454f, 0.002068f, 0.002649f, 0.003481f, 0.004757f, 0.007801f, 0.012230f, + 0.021698f, 0.046814f, 0.138306f, 0.506348f, 0.859375f, 0.947754f, 0.974121f, 0.984375f, + 0.989746f, 0.992188f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000244f, 0.000446f, 0.000487f, 0.000609f, 0.000731f, + 0.000973f, 0.000975f, 0.001310f, 0.001823f, 0.002304f, 0.002869f, 0.004890f, 0.006813f, + 0.010475f, 0.017731f, 0.036163f, 0.095337f, 0.353516f, 0.792480f, 0.932129f, 0.968262f, + 0.982422f, 0.988770f, 0.992188f, 0.993652f, 0.995605f, 0.996094f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000241f, 0.000362f, 0.000487f, 0.000609f, + 0.000609f, 0.000973f, 0.001213f, 0.001419f, 0.001807f, 0.002068f, 0.002794f, 0.004070f, + 0.005917f, 0.009140f, 0.015129f, 0.029053f, 0.070068f, 0.242554f, 0.700684f, 0.911621f, + 0.961914f, 0.979492f, 0.987305f, 0.991211f, 0.993164f, 0.995117f, 0.995605f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000243f, 0.000483f, 0.000603f, + 0.000609f, 0.000730f, 0.001076f, 0.000975f, 0.001327f, 0.001598f, 0.002056f, 0.002848f, + 0.003519f, 0.005589f, 0.008041f, 0.013321f, 0.024155f, 0.054718f, 0.171875f, 0.590332f, + 0.885742f, 0.955566f, 0.977051f, 0.985840f, 0.990723f, 0.993164f, 0.994629f, 0.995605f, + 0.997070f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000192f, 0.000122f, 0.000244f, 0.000483f, + 0.000606f, 0.000608f, 0.000731f, 0.000953f, 0.001095f, 0.001258f, 0.001575f, 0.002066f, + 0.002594f, 0.003857f, 0.004734f, 0.007683f, 0.011642f, 0.021179f, 0.044464f, 0.127930f, + 0.476807f, 0.850586f, 0.947266f, 0.974121f, 0.984375f, 0.989746f, 0.992676f, 0.994141f, + 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000229f, 0.000239f, 0.000244f, + 0.000343f, 0.000483f, 0.000608f, 0.000609f, 0.000857f, 0.000973f, 0.001097f, 0.001571f, + 0.002041f, 0.002399f, 0.002922f, 0.004471f, 0.006836f, 0.010643f, 0.018661f, 0.037354f, + 0.100037f, 0.378418f, 0.810547f, 0.937988f, 0.971191f, 0.983887f, 0.989258f, 0.992188f, + 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000161f, + 0.000230f, 0.000244f, 0.000486f, 0.000607f, 0.000609f, 0.000819f, 0.000972f, 0.000975f, + 0.001431f, 0.001945f, 0.002283f, 0.003031f, 0.004238f, 0.006424f, 0.009995f, 0.016068f, + 0.032104f, 0.081360f, 0.302246f, 0.765625f, 0.928223f, 0.968750f, 0.982422f, 0.988770f, + 0.992676f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000240f, 0.000240f, 0.000244f, 0.000450f, 0.000607f, 0.000609f, 0.000731f, 0.001084f, + 0.000974f, 0.001341f, 0.001910f, 0.002254f, 0.003216f, 0.004017f, 0.005692f, 0.008980f, + 0.014832f, 0.028854f, 0.069641f, 0.248657f, 0.719238f, 0.918945f, 0.965820f, 0.981445f, + 0.988770f, 0.992188f, 0.994629f, 0.995605f, 0.996094f, 0.997070f, 0.997559f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000243f, 0.000360f, 0.000461f, 0.000607f, 0.000608f, 0.000731f, + 0.001086f, 0.001202f, 0.001307f, 0.001592f, 0.002066f, 0.003134f, 0.003990f, 0.005611f, + 0.008133f, 0.013680f, 0.025986f, 0.061462f, 0.211670f, 0.676758f, 0.910156f, 0.963867f, + 0.980957f, 0.988281f, 0.991699f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000240f, 0.000243f, 0.000482f, 0.000604f, 0.000608f, + 0.000730f, 0.001040f, 0.001188f, 0.001287f, 0.001574f, 0.002064f, 0.002613f, 0.003721f, + 0.005428f, 0.008018f, 0.013161f, 0.024200f, 0.055573f, 0.186401f, 0.642578f, 0.904785f, + 0.962402f, 0.980469f, 0.987793f, 0.991699f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, + 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000480f, 0.000602f, + 0.000721f, 0.000705f, 0.000907f, 0.001094f, 0.001096f, 0.001493f, 0.002058f, 0.002607f, + 0.003639f, 0.004826f, 0.007595f, 0.012413f, 0.022171f, 0.051697f, 0.171143f, 0.619629f, + 0.899414f, 0.961426f, 0.980957f, 0.987793f, 0.992188f, 0.994629f, 0.995605f, 0.996582f, + 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000172f, 0.000232f, 0.000243f, 0.000244f, + 0.000576f, 0.000711f, 0.000608f, 0.000767f, 0.001089f, 0.001213f, 0.001509f, 0.002029f, + 0.002684f, 0.003550f, 0.005161f, 0.007107f, 0.011871f, 0.021545f, 0.049347f, 0.163086f, + 0.609863f, 0.900391f, 0.962891f, 0.980957f, 0.988281f, 0.992676f, 0.994629f, 0.996094f, + 0.996582f, 0.997559f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000210f, 0.000122f, 0.000337f, + 0.000290f, 0.000594f, 0.000726f, 0.000730f, 0.000731f, 0.001090f, 0.001212f, 0.001506f, + 0.002029f, 0.002335f, 0.003489f, 0.005077f, 0.007000f, 0.011398f, 0.021027f, 0.048218f, + 0.161133f, 0.614258f, 0.903809f, 0.963379f, 0.981934f, 0.988770f, 0.992188f, 0.994629f, + 0.996094f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000281f, 0.000440f, 0.000683f, 0.000726f, 0.000730f, 0.000731f, 0.001087f, 0.001095f, + 0.001485f, 0.001793f, 0.002214f, 0.002991f, 0.004951f, 0.006912f, 0.011162f, 0.020905f, + 0.048187f, 0.165527f, 0.633789f, 0.910156f, 0.965820f, 0.982422f, 0.989746f, 0.993164f, + 0.995117f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000241f, 0.000243f, 0.000480f, 0.000725f, 0.000697f, 0.000731f, 0.001007f, + 0.001094f, 0.001360f, 0.001795f, 0.002161f, 0.003244f, 0.004871f, 0.006966f, 0.011330f, + 0.020706f, 0.049591f, 0.178345f, 0.667969f, 0.918457f, 0.968262f, 0.983887f, 0.990234f, + 0.993652f, 0.995605f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000086f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000243f, 0.000243f, 0.000465f, 0.000592f, 0.000729f, 0.000730f, + 0.001079f, 0.001093f, 0.001332f, 0.001885f, 0.002129f, 0.003254f, 0.004818f, 0.006889f, + 0.011429f, 0.021957f, 0.052521f, 0.201294f, 0.714355f, 0.929199f, 0.972168f, 0.985352f, + 0.991211f, 0.994141f, 0.995605f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000115f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000184f, 0.000241f, 0.000347f, 0.000453f, 0.000579f, 0.000728f, + 0.000729f, 0.001034f, 0.001093f, 0.001292f, 0.001857f, 0.002131f, 0.003296f, 0.004826f, + 0.006958f, 0.011726f, 0.023071f, 0.057983f, 0.239258f, 0.767578f, 0.939453f, 0.976074f, + 0.987305f, 0.992676f, 0.994629f, 0.996094f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000088f, 0.000119f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000191f, 0.000242f, 0.000425f, 0.000558f, + 0.000723f, 0.000730f, 0.001058f, 0.001092f, 0.001297f, 0.001653f, 0.002352f, 0.003124f, + 0.004860f, 0.007072f, 0.012131f, 0.024551f, 0.066406f, 0.300537f, 0.820312f, 0.951172f, + 0.979492f, 0.988281f, 0.993164f, 0.995117f, 0.996582f, 0.997070f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000227f, 0.000239f, 0.000341f, 0.000359f, + 0.000587f, 0.000605f, 0.000729f, 0.001040f, 0.001185f, 0.001275f, 0.001849f, 0.002390f, + 0.003399f, 0.005001f, 0.007404f, 0.012871f, 0.027237f, 0.079529f, 0.395264f, 0.868164f, + 0.960938f, 0.982910f, 0.990234f, 0.993164f, 0.995605f, 0.997070f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000120f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000211f, 0.000239f, 0.000307f, + 0.000394f, 0.000704f, 0.000711f, 0.000728f, 0.001001f, 0.001088f, 0.001204f, 0.001713f, + 0.002367f, 0.003151f, 0.004639f, 0.007820f, 0.014084f, 0.030609f, 0.102722f, 0.527344f, + 0.906250f, 0.969727f, 0.985840f, 0.991699f, 0.994629f, 0.996094f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000115f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000196f, + 0.000332f, 0.000363f, 0.000686f, 0.000719f, 0.000723f, 0.000963f, 0.001089f, 0.001290f, + 0.001849f, 0.002394f, 0.003458f, 0.004833f, 0.008301f, 0.015579f, 0.036926f, 0.143188f, + 0.676270f, 0.934570f, 0.976562f, 0.988281f, 0.992676f, 0.995605f, 0.996582f, 0.998047f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000102f, 0.000120f, + 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000311f, 0.000345f, 0.000479f, 0.000723f, 0.000728f, 0.000934f, 0.001085f, + 0.001282f, 0.001821f, 0.002399f, 0.003355f, 0.005524f, 0.008881f, 0.017807f, 0.047058f, + 0.222046f, 0.803223f, 0.954102f, 0.981445f, 0.990723f, 0.994141f, 0.996582f, 0.997559f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000090f, + 0.000116f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000201f, 0.000239f, 0.000358f, 0.000618f, 0.000719f, 0.000727f, 0.000863f, + 0.001087f, 0.001350f, 0.001945f, 0.002689f, 0.003731f, 0.005817f, 0.010033f, 0.021332f, + 0.064514f, 0.374512f, 0.885254f, 0.969238f, 0.986328f, 0.992676f, 0.995605f, 0.996582f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000086f, 0.000117f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000164f, 0.000238f, 0.000353f, 0.000596f, 0.000591f, 0.000727f, + 0.000901f, 0.001085f, 0.001266f, 0.001767f, 0.002663f, 0.003914f, 0.006153f, 0.011612f, + 0.026871f, 0.100525f, 0.605957f, 0.934082f, 0.978027f, 0.989746f, 0.994141f, 0.996094f, + 0.997559f, 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000107f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000195f, 0.000323f, 0.000339f, 0.000461f, 0.000706f, + 0.000726f, 0.000845f, 0.001086f, 0.001298f, 0.001843f, 0.003027f, 0.004387f, 0.007011f, + 0.013832f, 0.036530f, 0.183228f, 0.805664f, 0.959961f, 0.984863f, 0.991699f, 0.995605f, + 0.997070f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000120f, 0.000120f, 0.000121f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000224f, 0.000336f, 0.000464f, + 0.000708f, 0.000726f, 0.000965f, 0.001083f, 0.001458f, 0.002180f, 0.003096f, 0.004425f, + 0.008377f, 0.017639f, 0.056610f, 0.390869f, 0.909180f, 0.975586f, 0.989746f, 0.994141f, + 0.996582f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000113f, 0.000120f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000135f, 0.000336f, + 0.000467f, 0.000713f, 0.000725f, 0.000959f, 0.001191f, 0.001287f, 0.001939f, 0.003231f, + 0.005306f, 0.009888f, 0.024414f, 0.105835f, 0.709961f, 0.955078f, 0.984863f, 0.993164f, + 0.996094f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000061f, 0.000089f, + 0.000118f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000309f, + 0.000299f, 0.000460f, 0.000710f, 0.000724f, 0.000997f, 0.001073f, 0.001410f, 0.002117f, + 0.003506f, 0.006031f, 0.012863f, 0.038391f, 0.260742f, 0.892090f, 0.975098f, 0.990723f, + 0.995117f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000085f, 0.000110f, 0.000118f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000317f, 0.000499f, 0.000706f, 0.000599f, 0.000851f, 0.001069f, 0.001633f, + 0.002367f, 0.003918f, 0.007580f, 0.017929f, 0.074646f, 0.645508f, 0.956055f, 0.986328f, + 0.994141f, 0.996582f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000099f, 0.000113f, 0.000119f, 0.000119f, 0.000120f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000160f, 0.000326f, 0.000308f, 0.000578f, 0.000602f, 0.000921f, 0.001071f, + 0.001807f, 0.002783f, 0.004620f, 0.010017f, 0.029465f, 0.211792f, 0.896484f, 0.979004f, + 0.992188f, 0.996094f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000027f, 0.000103f, 0.000114f, 0.000118f, 0.000120f, + 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000090f, 0.000212f, 0.000309f, 0.000586f, 0.000602f, 0.000937f, + 0.001147f, 0.002031f, 0.003237f, 0.006134f, 0.014969f, 0.063171f, 0.665527f, 0.964355f, + 0.989258f, 0.995117f, 0.999023f, 0.998535f, 0.999023f, 0.999023f, 0.998535f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000018f, 0.000103f, 0.000113f, + 0.000117f, 0.000119f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000004f, 0.000002f, 0.000199f, 0.000390f, 0.000586f, 0.000665f, + 0.000946f, 0.001365f, 0.002207f, 0.003767f, 0.008308f, 0.025955f, 0.227661f, 0.924316f, + 0.984863f, 0.994141f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000098f, 0.000109f, 0.000117f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000011f, 0.000005f, 0.000003f, 0.000002f, 0.000193f, 0.000388f, 0.000586f, + 0.000659f, 0.000952f, 0.001580f, 0.002762f, 0.005363f, 0.013153f, 0.066589f, 0.781738f, + 0.977051f, 0.993164f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000075f, 0.000112f, 0.000116f, 0.000118f, 0.000119f, 0.000120f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, + 0.000088f, 0.000026f, 0.000010f, 0.000005f, 0.000003f, 0.000002f, 0.000186f, 0.000407f, + 0.000586f, 0.000760f, 0.000986f, 0.001796f, 0.003275f, 0.007565f, 0.026794f, 0.363281f, + 0.959473f, 0.990723f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000010f, 0.000090f, 0.000110f, 0.000115f, 0.000117f, + 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000077f, 0.000023f, 0.000011f, 0.000005f, 0.000003f, 0.000002f, 0.000158f, + 0.000407f, 0.000587f, 0.000826f, 0.001264f, 0.002174f, 0.004894f, 0.013359f, 0.098511f, + 0.911133f, 0.987793f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000084f, 0.000107f, + 0.000114f, 0.000117f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000093f, 0.000024f, 0.000011f, 0.000005f, 0.000003f, 0.000002f, + 0.000220f, 0.000476f, 0.000585f, 0.000913f, 0.001374f, 0.002951f, 0.007511f, 0.034973f, + 0.736328f, 0.982910f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000056f, 0.000102f, 0.000112f, 0.000116f, 0.000117f, 0.000119f, 0.000120f, 0.000120f, + 0.000121f, 0.000121f, 0.000121f, 0.000075f, 0.000025f, 0.000010f, 0.000005f, 0.000003f, + 0.000034f, 0.000222f, 0.000491f, 0.000589f, 0.001020f, 0.001881f, 0.004669f, 0.015717f, + 0.298340f, 0.974609f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000048f, 0.000095f, 0.000106f, 0.000114f, 0.000117f, 0.000118f, + 0.000119f, 0.000120f, 0.000120f, 0.000121f, 0.000089f, 0.000029f, 0.000012f, 0.000006f, + 0.000003f, 0.000002f, 0.000223f, 0.000525f, 0.000687f, 0.001122f, 0.002672f, 0.008255f, + 0.079590f, 0.954590f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000077f, 0.000104f, 0.000112f, + 0.000115f, 0.000117f, 0.000119f, 0.000119f, 0.000120f, 0.000109f, 0.000031f, 0.000013f, + 0.000006f, 0.000003f, 0.000002f, 0.000254f, 0.000550f, 0.000846f, 0.001545f, 0.004223f, + 0.027771f, 0.901855f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, + 0.000090f, 0.000107f, 0.000113f, 0.000116f, 0.000118f, 0.000119f, 0.000120f, 0.000041f, + 0.000015f, 0.000007f, 0.000004f, 0.000002f, 0.000271f, 0.000563f, 0.000786f, 0.002211f, + 0.012207f, 0.711426f, 0.994629f, 0.994629f, 0.995117f, 0.994629f, 0.994629f, 0.994629f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000028f, 0.000083f, 0.000102f, 0.000110f, 0.000114f, 0.000117f, 0.000118f, + 0.000052f, 0.000019f, 0.000008f, 0.000004f, 0.000002f, 0.000314f, 0.000444f, 0.001049f, + 0.005669f, 0.266846f, 0.993164f, 0.993652f, 0.993164f, 0.993652f, 0.993164f, 0.993164f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000048f, 0.000089f, 0.000106f, 0.000112f, + 0.000115f, 0.000077f, 0.000026f, 0.000010f, 0.000005f, 0.000079f, 0.000425f, 0.000405f, + 0.002468f, 0.064209f, 0.990234f, 0.990723f, 0.990234f, 0.990234f, 0.990234f, 0.991211f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000075f, + 0.000098f, 0.000108f, 0.000113f, 0.000044f, 0.000016f, 0.000006f, 0.000027f, 0.000270f, + 0.000825f, 0.018448f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000049f, 0.000085f, 0.000102f, 0.000070f, 0.000022f, 0.000008f, 0.000133f, + 0.000295f, 0.005318f, 0.978516f, 0.979004f, 0.977539f, 0.977539f, 0.978027f, 0.978516f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000066f, 0.000092f, 0.000036f, 0.000011f, + 0.000135f, 0.000925f, 0.959473f, 0.959961f, 0.959961f, 0.959473f, 0.959961f, 0.959473f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000027f, 0.000065f, + 0.000016f, 0.000109f, 0.907715f, 0.907227f, 0.907715f, 0.907227f, 0.907715f, 0.907715f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000017f, 0.711914f, 0.712402f, 0.711426f, 0.711426f, 0.711914f, 0.712402f, + }, + { + 0.076172f, 0.877441f, 0.964355f, 0.980957f, 0.987305f, 0.990723f, 0.992676f, 0.993652f, + 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.003897f, 0.033173f, 0.320557f, 0.863770f, 0.953613f, 0.975586f, 0.984863f, 0.988770f, + 0.991211f, 0.992676f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, + 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000975f, 0.005951f, 0.020935f, 0.093140f, 0.501465f, 0.873047f, 0.950684f, 0.973145f, + 0.981934f, 0.986816f, 0.990234f, 0.992188f, 0.993164f, 0.994629f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000610f, 0.002430f, 0.006081f, 0.015915f, 0.045593f, 0.179810f, 0.635254f, 0.889648f, + 0.951172f, 0.972168f, 0.981445f, 0.986328f, 0.989746f, 0.991699f, 0.993652f, 0.994629f, + 0.995117f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.001219f, 0.002796f, 0.006172f, 0.012848f, 0.028458f, 0.081177f, 0.301758f, + 0.733398f, 0.905273f, 0.953613f, 0.972168f, 0.981445f, 0.986328f, 0.989258f, 0.991699f, + 0.993652f, 0.994141f, 0.995117f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000731f, 0.001706f, 0.003166f, 0.005470f, 0.010406f, 0.020813f, 0.047089f, + 0.136719f, 0.449951f, 0.803223f, 0.919434f, 0.957520f, 0.973633f, 0.981934f, 0.986328f, + 0.989746f, 0.991699f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, + 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000366f, 0.001214f, 0.001894f, 0.003159f, 0.005108f, 0.008720f, 0.015839f, + 0.031586f, 0.074951f, 0.224121f, 0.596680f, 0.851074f, 0.932617f, 0.962402f, 0.975586f, + 0.982910f, 0.987305f, 0.989746f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, + 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000366f, 0.000731f, 0.000976f, 0.001827f, 0.002987f, 0.004757f, 0.007988f, + 0.013023f, 0.023544f, 0.048431f, 0.120239f, 0.352783f, 0.717285f, 0.887207f, 0.943848f, + 0.966309f, 0.978027f, 0.983887f, 0.987305f, 0.990234f, 0.992188f, 0.993652f, 0.994629f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000434f, 0.000488f, 0.000704f, 0.001218f, 0.002190f, 0.002783f, 0.004723f, + 0.006878f, 0.011040f, 0.018372f, 0.034241f, 0.073242f, 0.194336f, 0.510742f, 0.803711f, + 0.912598f, 0.952637f, 0.970703f, 0.979004f, 0.984863f, 0.988281f, 0.991211f, 0.992676f, + 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, + 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000243f, 0.000488f, 0.000488f, 0.000916f, 0.001219f, 0.002308f, 0.002914f, + 0.004124f, 0.006523f, 0.009537f, 0.014793f, 0.025833f, 0.050446f, 0.116089f, 0.312744f, + 0.661133f, 0.860840f, 0.931641f, 0.960449f, 0.974121f, 0.981445f, 0.986328f, 0.989258f, + 0.991211f, 0.992676f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000121f, 0.000356f, 0.000488f, 0.000609f, 0.000944f, 0.001339f, 0.002296f, + 0.002964f, 0.003880f, 0.005676f, 0.008476f, 0.012909f, 0.020874f, 0.036926f, 0.075500f, + 0.187988f, 0.474854f, 0.774414f, 0.900391f, 0.946289f, 0.966309f, 0.978027f, 0.983887f, + 0.987793f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, + 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000244f, 0.000483f, 0.000488f, 0.000731f, 0.001070f, 0.001551f, + 0.002024f, 0.002520f, 0.003990f, 0.004738f, 0.007584f, 0.010834f, 0.016800f, 0.028763f, + 0.054535f, 0.120728f, 0.309082f, 0.642090f, 0.848145f, 0.926270f, 0.957031f, 0.971191f, + 0.980469f, 0.985352f, 0.988770f, 0.990723f, 0.992188f, 0.993652f, 0.994629f, 0.995605f, + 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000242f, 0.000485f, 0.000608f, 0.000731f, 0.001091f, + 0.001339f, 0.001943f, 0.002602f, 0.003466f, 0.004845f, 0.006649f, 0.009529f, 0.014824f, + 0.023407f, 0.041351f, 0.083496f, 0.199951f, 0.482422f, 0.770996f, 0.896484f, 0.944336f, + 0.965332f, 0.976562f, 0.982910f, 0.986816f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, + 0.995117f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000121f, 0.000243f, 0.000243f, 0.000602f, 0.000609f, 0.000799f, + 0.001088f, 0.001459f, 0.001822f, 0.002432f, 0.003033f, 0.004375f, 0.006042f, 0.008560f, + 0.012810f, 0.019791f, 0.032715f, 0.061584f, 0.135254f, 0.335693f, 0.660156f, 0.853027f, + 0.926758f, 0.956543f, 0.972168f, 0.980469f, 0.984863f, 0.988281f, 0.991211f, 0.992676f, + 0.993652f, 0.994141f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000243f, 0.000366f, 0.000605f, 0.000730f, + 0.000731f, 0.001201f, 0.001458f, 0.001804f, 0.002428f, 0.003593f, 0.004234f, 0.005745f, + 0.007755f, 0.011139f, 0.016754f, 0.027054f, 0.047424f, 0.097107f, 0.231323f, 0.525879f, + 0.791016f, 0.902832f, 0.945801f, 0.966797f, 0.977051f, 0.982910f, 0.987793f, 0.990234f, + 0.991699f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000116f, 0.000122f, 0.000365f, 0.000244f, 0.000602f, + 0.000721f, 0.000730f, 0.000852f, 0.001451f, 0.001842f, 0.002518f, 0.002993f, 0.004097f, + 0.005253f, 0.007099f, 0.009865f, 0.014908f, 0.022827f, 0.038879f, 0.072815f, 0.163940f, + 0.396484f, 0.707031f, 0.869141f, 0.932129f, 0.960449f, 0.973145f, 0.980957f, 0.986328f, + 0.988770f, 0.991211f, 0.992676f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, + 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000110f, 0.000361f, 0.000242f, 0.000244f, + 0.000602f, 0.000728f, 0.000853f, 0.001260f, 0.001569f, 0.001704f, 0.002287f, 0.003103f, + 0.003857f, 0.004848f, 0.006680f, 0.009003f, 0.012978f, 0.019897f, 0.032135f, 0.057983f, + 0.121033f, 0.291504f, 0.604980f, 0.827148f, 0.915039f, 0.953125f, 0.969238f, 0.978516f, + 0.984375f, 0.988281f, 0.991211f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, + 0.996582f, 0.996582f, 0.997070f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000241f, 0.000241f, 0.000365f, + 0.000365f, 0.000589f, 0.000852f, 0.000852f, 0.001246f, 0.001562f, 0.001812f, 0.002241f, + 0.002794f, 0.003633f, 0.004669f, 0.006069f, 0.008202f, 0.011772f, 0.016891f, 0.027618f, + 0.047089f, 0.093506f, 0.216309f, 0.495605f, 0.771484f, 0.894531f, 0.942383f, 0.965332f, + 0.976074f, 0.982910f, 0.987305f, 0.989746f, 0.991699f, 0.993164f, 0.994629f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000364f, + 0.000242f, 0.000487f, 0.000737f, 0.000730f, 0.000974f, 0.001083f, 0.001520f, 0.001701f, + 0.001938f, 0.002768f, 0.003658f, 0.004227f, 0.005741f, 0.007671f, 0.010796f, 0.015511f, + 0.023529f, 0.040009f, 0.074158f, 0.165405f, 0.395264f, 0.703613f, 0.868164f, 0.932129f, + 0.959473f, 0.973633f, 0.980957f, 0.985840f, 0.988770f, 0.991699f, 0.992676f, 0.994141f, + 0.995117f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000100f, 0.000000f, 0.000241f, + 0.000224f, 0.000487f, 0.000488f, 0.000710f, 0.000972f, 0.000848f, 0.001181f, 0.001333f, + 0.001910f, 0.001830f, 0.002661f, 0.003298f, 0.004154f, 0.005386f, 0.007271f, 0.009735f, + 0.013908f, 0.021149f, 0.034149f, 0.062042f, 0.130371f, 0.313477f, 0.627930f, 0.837402f, + 0.919922f, 0.954590f, 0.970215f, 0.979492f, 0.985352f, 0.988770f, 0.991211f, 0.992676f, + 0.993652f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000049f, + 0.000242f, 0.000483f, 0.000606f, 0.000487f, 0.000695f, 0.000970f, 0.000974f, 0.001136f, + 0.001328f, 0.001694f, 0.002028f, 0.002617f, 0.002953f, 0.003847f, 0.004951f, 0.006653f, + 0.009193f, 0.012672f, 0.018661f, 0.029968f, 0.052673f, 0.106689f, 0.250977f, 0.549805f, + 0.801758f, 0.907227f, 0.948242f, 0.967773f, 0.978027f, 0.984375f, 0.987793f, 0.990723f, + 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000166f, 0.000243f, 0.000485f, 0.000487f, 0.000487f, 0.000945f, 0.000834f, 0.000974f, + 0.000974f, 0.001300f, 0.001810f, 0.002058f, 0.002573f, 0.002703f, 0.003761f, 0.004887f, + 0.006393f, 0.008514f, 0.011818f, 0.016937f, 0.026672f, 0.046051f, 0.089478f, 0.204712f, + 0.476807f, 0.762207f, 0.891602f, 0.942383f, 0.965820f, 0.976562f, 0.983398f, 0.987793f, + 0.990234f, 0.992188f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000224f, 0.000358f, 0.000477f, 0.000486f, 0.000487f, 0.000580f, 0.000841f, + 0.000973f, 0.001079f, 0.001255f, 0.001649f, 0.002045f, 0.002241f, 0.002995f, 0.003841f, + 0.004826f, 0.005920f, 0.007866f, 0.010925f, 0.015930f, 0.024109f, 0.040619f, 0.077454f, + 0.171509f, 0.412354f, 0.720215f, 0.876953f, 0.936035f, 0.962402f, 0.975098f, 0.982422f, + 0.987305f, 0.990234f, 0.992188f, 0.993164f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000165f, 0.000205f, 0.000411f, 0.000480f, 0.000486f, 0.000608f, 0.000688f, + 0.000966f, 0.000968f, 0.000974f, 0.001421f, 0.001489f, 0.001695f, 0.002090f, 0.002886f, + 0.003326f, 0.004608f, 0.005604f, 0.007317f, 0.010414f, 0.014862f, 0.022232f, 0.036469f, + 0.067810f, 0.146973f, 0.359375f, 0.680664f, 0.861816f, 0.931152f, 0.959961f, 0.974609f, + 0.981934f, 0.986816f, 0.989746f, 0.991699f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000242f, 0.000453f, 0.000539f, 0.000486f, 0.000487f, + 0.000487f, 0.000957f, 0.000969f, 0.001202f, 0.001139f, 0.001393f, 0.001986f, 0.002045f, + 0.002863f, 0.003216f, 0.004128f, 0.005417f, 0.007378f, 0.009689f, 0.013466f, 0.020432f, + 0.033722f, 0.060883f, 0.129395f, 0.318115f, 0.642090f, 0.847656f, 0.926270f, 0.958008f, + 0.973145f, 0.981934f, 0.986328f, 0.989746f, 0.992188f, 0.993164f, 0.994629f, 0.995605f, + 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000380f, 0.000482f, 0.000606f, + 0.000607f, 0.000608f, 0.000829f, 0.000970f, 0.000972f, 0.001070f, 0.001402f, 0.001812f, + 0.002138f, 0.002619f, 0.003246f, 0.004082f, 0.005318f, 0.006699f, 0.009262f, 0.012764f, + 0.019318f, 0.031052f, 0.055878f, 0.116821f, 0.286621f, 0.610352f, 0.835938f, 0.922852f, + 0.956543f, 0.973145f, 0.981445f, 0.986328f, 0.989746f, 0.991699f, 0.993652f, 0.995117f, + 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000243f, 0.000350f, 0.000480f, + 0.000605f, 0.000596f, 0.000608f, 0.000890f, 0.000963f, 0.000972f, 0.000974f, 0.001316f, + 0.001798f, 0.002058f, 0.002560f, 0.002811f, 0.003983f, 0.005108f, 0.006489f, 0.008888f, + 0.012314f, 0.018021f, 0.029495f, 0.051941f, 0.107422f, 0.263428f, 0.585449f, 0.827148f, + 0.919434f, 0.956055f, 0.971680f, 0.981445f, 0.986816f, 0.989746f, 0.992188f, 0.994141f, + 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000130f, 0.000176f, 0.000462f, + 0.000483f, 0.000604f, 0.000607f, 0.000638f, 0.000922f, 0.000965f, 0.000971f, 0.001235f, + 0.001376f, 0.001769f, 0.002041f, 0.002575f, 0.003130f, 0.003487f, 0.004936f, 0.006264f, + 0.008415f, 0.012047f, 0.017517f, 0.027786f, 0.049164f, 0.101257f, 0.249512f, 0.568848f, + 0.821777f, 0.918945f, 0.956055f, 0.972168f, 0.981445f, 0.986816f, 0.990234f, 0.992188f, + 0.993652f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000130f, 0.000122f, 0.000242f, + 0.000352f, 0.000560f, 0.000602f, 0.000604f, 0.000606f, 0.000767f, 0.001046f, 0.001089f, + 0.000973f, 0.001327f, 0.001583f, 0.002033f, 0.002272f, 0.002657f, 0.003563f, 0.004589f, + 0.006138f, 0.008194f, 0.011299f, 0.016861f, 0.026718f, 0.047119f, 0.097656f, 0.240967f, + 0.562500f, 0.821289f, 0.919922f, 0.957031f, 0.973145f, 0.981934f, 0.987305f, 0.990234f, + 0.992676f, 0.994141f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000241f, 0.000314f, 0.000459f, 0.000600f, 0.000605f, 0.000598f, 0.000804f, 0.000958f, + 0.001084f, 0.001104f, 0.001389f, 0.001709f, 0.002041f, 0.002211f, 0.002645f, 0.003635f, + 0.004467f, 0.005718f, 0.008072f, 0.011185f, 0.016846f, 0.026184f, 0.046112f, 0.094971f, + 0.239014f, 0.565430f, 0.825684f, 0.922363f, 0.958496f, 0.973633f, 0.983398f, 0.987793f, + 0.990723f, 0.992676f, 0.994141f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, + 0.000122f, 0.000173f, 0.000246f, 0.000387f, 0.000480f, 0.000604f, 0.000604f, 0.000701f, + 0.000951f, 0.000968f, 0.001184f, 0.001315f, 0.001597f, 0.001899f, 0.002268f, 0.002813f, + 0.003716f, 0.004372f, 0.005886f, 0.007759f, 0.010918f, 0.015915f, 0.025726f, 0.045685f, + 0.095459f, 0.243774f, 0.579102f, 0.833984f, 0.926270f, 0.960449f, 0.976074f, 0.983887f, + 0.988770f, 0.991211f, 0.993164f, 0.994629f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999023f, 0.999512f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000238f, 0.000237f, 0.000242f, 0.000463f, 0.000585f, 0.000587f, 0.000718f, + 0.000607f, 0.000885f, 0.001081f, 0.001087f, 0.001299f, 0.001553f, 0.001982f, 0.002104f, + 0.002777f, 0.003494f, 0.004406f, 0.005798f, 0.007645f, 0.010750f, 0.016159f, 0.025467f, + 0.045959f, 0.097778f, 0.256104f, 0.603516f, 0.847168f, 0.931152f, 0.963379f, 0.977539f, + 0.985352f, 0.989258f, 0.991699f, 0.993652f, 0.995117f, 0.996094f, 0.996582f, 0.997559f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000231f, 0.000122f, 0.000242f, 0.000242f, 0.000400f, 0.000525f, 0.000495f, + 0.000605f, 0.000607f, 0.000898f, 0.001075f, 0.001191f, 0.001133f, 0.001420f, 0.001794f, + 0.002041f, 0.002733f, 0.003548f, 0.004448f, 0.005585f, 0.007656f, 0.010735f, 0.015671f, + 0.025589f, 0.047363f, 0.102783f, 0.276855f, 0.637695f, 0.862793f, 0.938477f, 0.966797f, + 0.979004f, 0.985840f, 0.990234f, 0.992676f, 0.994141f, 0.995117f, 0.996582f, 0.997070f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f, 0.000242f, 0.000470f, 0.000469f, + 0.000547f, 0.000711f, 0.000723f, 0.000829f, 0.001024f, 0.001188f, 0.001081f, 0.001415f, + 0.001765f, 0.002048f, 0.002708f, 0.003252f, 0.004448f, 0.005711f, 0.007557f, 0.010780f, + 0.016220f, 0.026398f, 0.048950f, 0.111267f, 0.309082f, 0.680664f, 0.880371f, 0.945801f, + 0.970703f, 0.980957f, 0.986816f, 0.990723f, 0.993164f, 0.994629f, 0.995605f, 0.996582f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000204f, 0.000239f, 0.000242f, 0.000283f, + 0.000479f, 0.000594f, 0.000603f, 0.000606f, 0.000779f, 0.001068f, 0.001084f, 0.001118f, + 0.001515f, 0.001926f, 0.002098f, 0.002674f, 0.002975f, 0.004040f, 0.005478f, 0.007488f, + 0.010651f, 0.016327f, 0.027222f, 0.052460f, 0.123718f, 0.355713f, 0.729980f, 0.899902f, + 0.952637f, 0.973145f, 0.983887f, 0.988770f, 0.991699f, 0.994141f, 0.995117f, 0.996094f, + 0.997070f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000122f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000236f, 0.000207f, 0.000240f, + 0.000435f, 0.000534f, 0.000594f, 0.000602f, 0.000722f, 0.000727f, 0.000947f, 0.001081f, + 0.001090f, 0.001471f, 0.001829f, 0.002010f, 0.002478f, 0.002956f, 0.004051f, 0.005753f, + 0.007717f, 0.011040f, 0.017105f, 0.028748f, 0.057159f, 0.142944f, 0.421387f, 0.780762f, + 0.916992f, 0.960449f, 0.976562f, 0.985352f, 0.989746f, 0.992676f, 0.994629f, 0.996094f, + 0.997070f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000224f, 0.000232f, + 0.000230f, 0.000382f, 0.000472f, 0.000576f, 0.000715f, 0.000721f, 0.000727f, 0.001046f, + 0.001078f, 0.001186f, 0.001434f, 0.001674f, 0.002066f, 0.002546f, 0.003407f, 0.004181f, + 0.005634f, 0.007542f, 0.011330f, 0.017609f, 0.031189f, 0.064392f, 0.172729f, 0.506836f, + 0.828125f, 0.933105f, 0.966309f, 0.980469f, 0.987305f, 0.991211f, 0.993652f, 0.995117f, + 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000232f, 0.000234f, 0.000352f, 0.000461f, 0.000535f, 0.000594f, 0.000722f, 0.000725f, + 0.000921f, 0.001116f, 0.001192f, 0.001416f, 0.001637f, 0.001911f, 0.002380f, 0.002949f, + 0.003948f, 0.005589f, 0.007942f, 0.011650f, 0.018631f, 0.034302f, 0.075867f, 0.219238f, + 0.607422f, 0.870605f, 0.946777f, 0.972656f, 0.983887f, 0.989258f, 0.992676f, 0.995117f, + 0.996094f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000239f, 0.000302f, 0.000396f, 0.000564f, 0.000674f, 0.000617f, + 0.000722f, 0.001003f, 0.001068f, 0.001084f, 0.001302f, 0.001598f, 0.001929f, 0.002375f, + 0.002935f, 0.004349f, 0.005714f, 0.007957f, 0.012306f, 0.020493f, 0.039001f, 0.092590f, + 0.293213f, 0.711426f, 0.905762f, 0.958984f, 0.978027f, 0.986328f, 0.990723f, 0.994141f, + 0.995605f, 0.996582f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000232f, 0.000227f, 0.000240f, 0.000282f, 0.000542f, 0.000703f, + 0.000718f, 0.000724f, 0.000833f, 0.001069f, 0.001184f, 0.001346f, 0.001464f, 0.001898f, + 0.002649f, 0.003164f, 0.004467f, 0.005863f, 0.008400f, 0.013199f, 0.022614f, 0.046051f, + 0.120605f, 0.406738f, 0.801270f, 0.931641f, 0.968262f, 0.982422f, 0.988770f, 0.992676f, + 0.994629f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000219f, 0.000237f, 0.000235f, 0.000241f, 0.000480f, + 0.000584f, 0.000715f, 0.000723f, 0.000775f, 0.001061f, 0.000959f, 0.001139f, 0.001526f, + 0.001770f, 0.002546f, 0.003151f, 0.004250f, 0.006195f, 0.009071f, 0.014595f, 0.026413f, + 0.056763f, 0.169067f, 0.557617f, 0.869141f, 0.951172f, 0.976074f, 0.986328f, 0.990723f, + 0.994141f, 0.995605f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000120f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000216f, 0.000228f, 0.000285f, 0.000339f, + 0.000454f, 0.000572f, 0.000595f, 0.000721f, 0.000604f, 0.000930f, 0.000958f, 0.001171f, + 0.001431f, 0.001888f, 0.002663f, 0.003256f, 0.004402f, 0.006527f, 0.009964f, 0.016281f, + 0.031189f, 0.074524f, 0.258301f, 0.714355f, 0.916016f, 0.965332f, 0.982422f, 0.989746f, + 0.992676f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000063f, 0.000120f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000184f, 0.000228f, + 0.000340f, 0.000396f, 0.000668f, 0.000571f, 0.000478f, 0.000602f, 0.000919f, 0.000956f, + 0.001061f, 0.001497f, 0.001888f, 0.002565f, 0.003523f, 0.004578f, 0.006935f, 0.010765f, + 0.018417f, 0.038635f, 0.107727f, 0.416260f, 0.832520f, 0.946289f, 0.975586f, 0.986328f, + 0.991699f, 0.994629f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000045f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000234f, 0.000294f, 0.000220f, 0.000486f, 0.000579f, 0.000588f, 0.000669f, 0.000878f, + 0.001038f, 0.001135f, 0.001451f, 0.001820f, 0.002529f, 0.003551f, 0.005199f, 0.007542f, + 0.012230f, 0.022369f, 0.051910f, 0.174927f, 0.630859f, 0.905273f, 0.965332f, 0.982910f, + 0.990234f, 0.993652f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000091f, 0.000117f, 0.000120f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000171f, 0.000151f, 0.000166f, 0.000195f, 0.000342f, 0.000452f, 0.000594f, 0.000599f, + 0.000862f, 0.001019f, 0.001135f, 0.001465f, 0.002031f, 0.002676f, 0.003714f, 0.005497f, + 0.008286f, 0.014320f, 0.028854f, 0.077332f, 0.322754f, 0.809082f, 0.946289f, 0.977051f, + 0.987793f, 0.993164f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000079f, 0.000105f, 0.000120f, + 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000008f, 0.000006f, 0.000098f, 0.000137f, 0.000233f, 0.000324f, 0.000566f, 0.000589f, + 0.000618f, 0.000874f, 0.000941f, 0.001108f, 0.001621f, 0.001880f, 0.002726f, 0.003788f, + 0.005840f, 0.009583f, 0.017563f, 0.039368f, 0.133545f, 0.582520f, 0.906738f, 0.968262f, + 0.984863f, 0.992188f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000069f, 0.000114f, + 0.000117f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000021f, + 0.000013f, 0.000009f, 0.000006f, 0.000004f, 0.000090f, 0.000206f, 0.000305f, 0.000538f, + 0.000585f, 0.000596f, 0.000869f, 0.000941f, 0.001149f, 0.001516f, 0.002150f, 0.002729f, + 0.004475f, 0.006660f, 0.011360f, 0.022690f, 0.061401f, 0.281494f, 0.813965f, 0.952148f, + 0.980957f, 0.990723f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, + 0.000085f, 0.000114f, 0.000117f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000122f, 0.000122f, 0.000077f, 0.000041f, + 0.000022f, 0.000013f, 0.000009f, 0.000006f, 0.000066f, 0.000107f, 0.000223f, 0.000250f, + 0.000532f, 0.000576f, 0.000593f, 0.000784f, 0.000937f, 0.001126f, 0.001523f, 0.002306f, + 0.003193f, 0.004574f, 0.007717f, 0.014191f, 0.032410f, 0.116577f, 0.595215f, 0.921875f, + 0.974609f, 0.988770f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000056f, 0.000112f, 0.000114f, 0.000118f, 0.000119f, 0.000120f, + 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000074f, + 0.000038f, 0.000021f, 0.000013f, 0.000009f, 0.000006f, 0.000004f, 0.000003f, 0.000179f, + 0.000258f, 0.000367f, 0.000469f, 0.000583f, 0.000770f, 0.000932f, 0.001131f, 0.001758f, + 0.002483f, 0.003517f, 0.005432f, 0.009232f, 0.019302f, 0.054504f, 0.293457f, 0.853516f, + 0.964844f, 0.986816f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000015f, 0.000084f, 0.000107f, 0.000113f, 0.000117f, + 0.000118f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000076f, 0.000042f, 0.000023f, 0.000015f, 0.000009f, 0.000007f, 0.000005f, 0.000004f, + 0.000147f, 0.000238f, 0.000457f, 0.000545f, 0.000586f, 0.000821f, 0.000936f, 0.001139f, + 0.001849f, 0.002665f, 0.003687f, 0.006367f, 0.011810f, 0.028931f, 0.120605f, 0.687988f, + 0.947754f, 0.982910f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000082f, 0.000095f, + 0.000111f, 0.000115f, 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000083f, 0.000042f, 0.000026f, 0.000015f, 0.000010f, 0.000007f, 0.000005f, + 0.000013f, 0.000086f, 0.000185f, 0.000309f, 0.000552f, 0.000577f, 0.000796f, 0.000925f, + 0.001251f, 0.001838f, 0.002878f, 0.004509f, 0.007572f, 0.016617f, 0.054932f, 0.391602f, + 0.912109f, 0.978516f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996094f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000095f, 0.000106f, 0.000112f, 0.000113f, 0.000115f, 0.000118f, 0.000118f, + 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000099f, 0.000048f, 0.000027f, 0.000017f, 0.000011f, 0.000008f, + 0.000006f, 0.000004f, 0.000089f, 0.000182f, 0.000347f, 0.000495f, 0.000570f, 0.000777f, + 0.000922f, 0.001316f, 0.001831f, 0.003004f, 0.005028f, 0.010078f, 0.028183f, 0.161865f, + 0.833496f, 0.972168f, 0.995117f, 0.995605f, 0.995605f, 0.995117f, 0.995117f, 0.995605f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000074f, 0.000093f, 0.000107f, 0.000111f, 0.000115f, + 0.000116f, 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000057f, 0.000032f, 0.000021f, 0.000013f, + 0.000008f, 0.000006f, 0.000005f, 0.000034f, 0.000159f, 0.000267f, 0.000514f, 0.000566f, + 0.000714f, 0.000888f, 0.001348f, 0.001995f, 0.003302f, 0.006447f, 0.015945f, 0.069153f, + 0.646484f, 0.960449f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000080f, 0.000095f, + 0.000102f, 0.000109f, 0.000114f, 0.000115f, 0.000116f, 0.000118f, 0.000118f, 0.000119f, + 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000077f, 0.000044f, 0.000025f, + 0.000015f, 0.000011f, 0.000007f, 0.000005f, 0.000004f, 0.000106f, 0.000244f, 0.000476f, + 0.000561f, 0.000622f, 0.000893f, 0.001266f, 0.001968f, 0.003990f, 0.009476f, 0.033234f, + 0.342529f, 0.940918f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000046f, 0.000079f, 0.000093f, 0.000104f, 0.000110f, 0.000111f, 0.000113f, 0.000116f, + 0.000117f, 0.000118f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000092f, 0.000050f, + 0.000029f, 0.000019f, 0.000012f, 0.000009f, 0.000006f, 0.000004f, 0.000061f, 0.000188f, + 0.000324f, 0.000456f, 0.000525f, 0.000657f, 0.001371f, 0.002445f, 0.005634f, 0.017563f, + 0.135986f, 0.902832f, 0.992188f, 0.992188f, 0.992676f, 0.992188f, 0.992676f, 0.992188f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000038f, 0.000075f, 0.000092f, 0.000100f, 0.000105f, + 0.000111f, 0.000112f, 0.000114f, 0.000116f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, + 0.000074f, 0.000041f, 0.000024f, 0.000016f, 0.000010f, 0.000007f, 0.000005f, 0.000033f, + 0.000167f, 0.000423f, 0.000410f, 0.000413f, 0.000575f, 0.001446f, 0.003387f, 0.009644f, + 0.056183f, 0.817383f, 0.990234f, 0.990234f, 0.990234f, 0.990723f, 0.990234f, 0.990723f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000011f, 0.000067f, + 0.000084f, 0.000096f, 0.000103f, 0.000108f, 0.000110f, 0.000113f, 0.000115f, 0.000115f, + 0.000116f, 0.000104f, 0.000057f, 0.000035f, 0.000021f, 0.000013f, 0.000009f, 0.000006f, + 0.000054f, 0.000161f, 0.000317f, 0.000332f, 0.000393f, 0.000723f, 0.001760f, 0.005203f, + 0.025345f, 0.617676f, 0.987793f, 0.987793f, 0.987793f, 0.988281f, 0.988281f, 0.988281f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000017f, 0.000052f, 0.000075f, 0.000091f, 0.000097f, 0.000105f, 0.000108f, + 0.000111f, 0.000113f, 0.000114f, 0.000085f, 0.000050f, 0.000031f, 0.000018f, 0.000012f, + 0.000008f, 0.000005f, 0.000095f, 0.000314f, 0.000306f, 0.000363f, 0.000813f, 0.002583f, + 0.011734f, 0.308105f, 0.983887f, 0.984375f, 0.984375f, 0.984375f, 0.983887f, 0.983887f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000037f, 0.000065f, 0.000083f, + 0.000093f, 0.000099f, 0.000105f, 0.000108f, 0.000110f, 0.000082f, 0.000045f, 0.000027f, + 0.000017f, 0.000011f, 0.000007f, 0.000114f, 0.000245f, 0.000209f, 0.000379f, 0.001151f, + 0.005260f, 0.107971f, 0.977539f, 0.979004f, 0.978027f, 0.978027f, 0.978027f, 0.978027f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000007f, 0.000045f, 0.000069f, 0.000084f, 0.000093f, 0.000099f, 0.000104f, 0.000076f, + 0.000044f, 0.000026f, 0.000016f, 0.000010f, 0.000012f, 0.000152f, 0.000179f, 0.000373f, + 0.001760f, 0.035522f, 0.969238f, 0.968750f, 0.968750f, 0.968750f, 0.968750f, 0.968750f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000050f, 0.000070f, 0.000082f, + 0.000092f, 0.000075f, 0.000044f, 0.000026f, 0.000015f, 0.000009f, 0.000121f, 0.000117f, + 0.000611f, 0.010231f, 0.951172f, 0.951172f, 0.951172f, 0.951172f, 0.950684f, 0.951660f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000020f, 0.000047f, 0.000069f, 0.000077f, 0.000042f, 0.000024f, 0.000013f, 0.000078f, + 0.000130f, 0.001914f, 0.915039f, 0.915527f, 0.915039f, 0.915527f, 0.916016f, 0.915039f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000017f, 0.000047f, 0.000040f, 0.000019f, + 0.000035f, 0.000188f, 0.833984f, 0.833496f, 0.833496f, 0.834473f, 0.834473f, 0.833984f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000014f, 0.000007f, 0.642578f, 0.643555f, 0.643066f, 0.643555f, 0.642578f, 0.642578f, + }, + { + 0.113464f, 0.797852f, 0.930176f, 0.961914f, 0.974609f, 0.980469f, 0.984863f, 0.987793f, + 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.007183f, 0.058716f, 0.349609f, 0.784668f, 0.912598f, 0.952148f, 0.968262f, 0.977539f, + 0.981934f, 0.985352f, 0.988281f, 0.990234f, 0.991211f, 0.992188f, 0.993652f, 0.993652f, + 0.994141f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.002432f, 0.011818f, 0.039581f, 0.143677f, 0.482910f, 0.800293f, 0.908691f, 0.947266f, + 0.964844f, 0.974609f, 0.980469f, 0.984375f, 0.987305f, 0.989258f, 0.990723f, 0.991699f, + 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, + 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.001096f, 0.005062f, 0.012482f, 0.030151f, 0.079956f, 0.239014f, 0.581055f, 0.819824f, + 0.909180f, 0.946289f, 0.963379f, 0.973145f, 0.979492f, 0.983398f, 0.986328f, 0.988281f, + 0.990234f, 0.991699f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, + 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000610f, 0.002434f, 0.005779f, 0.012207f, 0.023972f, 0.052765f, 0.129883f, 0.342773f, + 0.660156f, 0.841309f, 0.914062f, 0.947266f, 0.963379f, 0.973145f, 0.979004f, 0.982910f, + 0.985840f, 0.987793f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, + 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000397f, 0.001559f, 0.003397f, 0.006058f, 0.011177f, 0.020355f, 0.039307f, 0.083130f, + 0.196777f, 0.452148f, 0.724121f, 0.862305f, 0.920410f, 0.949219f, 0.964355f, 0.973145f, + 0.979004f, 0.982910f, 0.985840f, 0.988770f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, + 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000366f, 0.001097f, 0.002163f, 0.003523f, 0.006268f, 0.010941f, 0.017487f, 0.030930f, + 0.058411f, 0.122925f, 0.281738f, 0.556152f, 0.776367f, 0.881348f, 0.928223f, 0.951660f, + 0.966309f, 0.973633f, 0.979492f, 0.983398f, 0.986328f, 0.988281f, 0.989746f, 0.991211f, + 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, + 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000728f, 0.001340f, 0.002533f, 0.003813f, 0.006081f, 0.009750f, 0.015419f, + 0.025177f, 0.044067f, 0.084473f, 0.179077f, 0.384033f, 0.649902f, 0.818848f, 0.897949f, + 0.935547f, 0.956055f, 0.967285f, 0.975098f, 0.980957f, 0.983887f, 0.986328f, 0.988281f, + 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, + 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000609f, 0.000854f, 0.001898f, 0.002781f, 0.004246f, 0.006218f, 0.008835f, + 0.013504f, 0.021362f, 0.035400f, 0.062347f, 0.121460f, 0.255127f, 0.495361f, 0.726562f, + 0.852539f, 0.912598f, 0.943359f, 0.959473f, 0.969238f, 0.976562f, 0.981445f, 0.984375f, + 0.987305f, 0.988770f, 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000244f, 0.000731f, 0.001295f, 0.002159f, 0.003092f, 0.004051f, 0.005836f, + 0.008560f, 0.011925f, 0.018585f, 0.029373f, 0.048950f, 0.088013f, 0.174194f, 0.354980f, + 0.604492f, 0.788086f, 0.880371f, 0.925293f, 0.950195f, 0.963867f, 0.972168f, 0.978027f, + 0.982422f, 0.985840f, 0.987793f, 0.990234f, 0.991699f, 0.992188f, 0.993164f, 0.994141f, + 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, + 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000114f, 0.000244f, 0.000709f, 0.001089f, 0.001580f, 0.002100f, 0.002848f, 0.004028f, + 0.005646f, 0.008232f, 0.011276f, 0.016647f, 0.024948f, 0.039215f, 0.067566f, 0.125244f, + 0.249878f, 0.471436f, 0.698242f, 0.834961f, 0.902344f, 0.937012f, 0.955078f, 0.967773f, + 0.974609f, 0.979492f, 0.983887f, 0.987305f, 0.988770f, 0.990723f, 0.991699f, 0.992676f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000244f, 0.000480f, 0.001081f, 0.001216f, 0.001684f, 0.002287f, 0.003113f, + 0.004246f, 0.005711f, 0.007412f, 0.010658f, 0.014900f, 0.021408f, 0.033173f, 0.053711f, + 0.094299f, 0.179688f, 0.351807f, 0.591309f, 0.774902f, 0.871582f, 0.919922f, 0.946289f, + 0.961426f, 0.971191f, 0.977051f, 0.981934f, 0.984863f, 0.987305f, 0.989258f, 0.991211f, + 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, + 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000364f, 0.000366f, 0.000729f, 0.001195f, 0.001218f, 0.001693f, 0.002209f, + 0.003038f, 0.004192f, 0.005249f, 0.006981f, 0.009926f, 0.013405f, 0.019165f, 0.028473f, + 0.044250f, 0.073975f, 0.134521f, 0.260010f, 0.476562f, 0.696289f, 0.830566f, 0.898438f, + 0.933594f, 0.954102f, 0.966309f, 0.974609f, 0.979492f, 0.982910f, 0.986328f, 0.988281f, + 0.989746f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000226f, 0.000365f, 0.000488f, 0.000731f, 0.001090f, 0.001245f, 0.002028f, + 0.002169f, 0.003023f, 0.003952f, 0.005043f, 0.006790f, 0.009026f, 0.012276f, 0.016754f, + 0.024628f, 0.037384f, 0.060120f, 0.104431f, 0.196045f, 0.372803f, 0.604980f, 0.779785f, + 0.872070f, 0.919922f, 0.945312f, 0.960938f, 0.970703f, 0.977539f, 0.980957f, 0.984863f, + 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000364f, 0.000487f, 0.000488f, 0.000608f, 0.001092f, 0.001323f, + 0.001909f, 0.002028f, 0.002829f, 0.003754f, 0.004940f, 0.006329f, 0.008850f, 0.011353f, + 0.015572f, 0.022110f, 0.032196f, 0.050293f, 0.083984f, 0.151978f, 0.288574f, 0.507812f, + 0.715332f, 0.839844f, 0.902832f, 0.936035f, 0.955566f, 0.966797f, 0.974609f, 0.979492f, + 0.983887f, 0.986816f, 0.988281f, 0.989746f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, + 0.994629f, 0.995605f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000341f, 0.000486f, 0.000487f, 0.000591f, 0.000846f, 0.001213f, + 0.001407f, 0.002018f, 0.002306f, 0.003119f, 0.003736f, 0.004700f, 0.005936f, 0.007858f, + 0.010498f, 0.013939f, 0.019913f, 0.028564f, 0.043060f, 0.069275f, 0.120972f, 0.225830f, + 0.416748f, 0.642090f, 0.798828f, 0.881836f, 0.924805f, 0.948730f, 0.962891f, 0.971191f, + 0.978516f, 0.982422f, 0.985352f, 0.987793f, 0.989746f, 0.991211f, 0.992676f, 0.993164f, + 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, + 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000121f, 0.000122f, 0.000475f, 0.000486f, 0.000487f, 0.000714f, 0.000913f, + 0.001296f, 0.001350f, 0.001884f, 0.002163f, 0.002871f, 0.003702f, 0.004578f, 0.005573f, + 0.007278f, 0.009819f, 0.013039f, 0.017883f, 0.025589f, 0.037445f, 0.058655f, 0.099243f, + 0.180542f, 0.338867f, 0.563965f, 0.751465f, 0.857422f, 0.912109f, 0.941406f, 0.958496f, + 0.968262f, 0.976074f, 0.980957f, 0.984375f, 0.986816f, 0.989258f, 0.990723f, 0.992188f, + 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, + 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000242f, 0.000417f, 0.000607f, 0.000602f, 0.000644f, + 0.001016f, 0.001223f, 0.001337f, 0.002010f, 0.002087f, 0.002752f, 0.003380f, 0.004486f, + 0.005760f, 0.007523f, 0.009048f, 0.012169f, 0.016312f, 0.022949f, 0.033295f, 0.050812f, + 0.082886f, 0.146851f, 0.275635f, 0.486572f, 0.696777f, 0.828613f, 0.896484f, 0.933594f, + 0.953613f, 0.965820f, 0.973633f, 0.979980f, 0.983887f, 0.986328f, 0.988770f, 0.990723f, + 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, + 0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000262f, 0.000463f, 0.000603f, 0.000665f, + 0.000716f, 0.001069f, 0.001322f, 0.001538f, 0.001895f, 0.002293f, 0.003120f, 0.003323f, + 0.004166f, 0.005638f, 0.006828f, 0.008942f, 0.011368f, 0.015465f, 0.021057f, 0.029663f, + 0.044861f, 0.070923f, 0.123169f, 0.228149f, 0.416504f, 0.640137f, 0.797363f, 0.880859f, + 0.924805f, 0.948730f, 0.963379f, 0.971680f, 0.978516f, 0.982422f, 0.985840f, 0.988281f, + 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.996094f, + 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000120f, 0.000172f, 0.000243f, 0.000365f, 0.000475f, 0.000607f, + 0.000608f, 0.000609f, 0.001013f, 0.001424f, 0.001456f, 0.001904f, 0.002411f, 0.002903f, + 0.003145f, 0.004314f, 0.004944f, 0.006607f, 0.008156f, 0.010719f, 0.014297f, 0.018906f, + 0.027069f, 0.040070f, 0.062103f, 0.104858f, 0.191162f, 0.355469f, 0.581543f, 0.762695f, + 0.863281f, 0.915039f, 0.943848f, 0.960449f, 0.970703f, 0.977051f, 0.981445f, 0.985840f, + 0.987793f, 0.989746f, 0.991211f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.997070f, 0.997070f, 0.998047f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000096f, 0.000239f, 0.000241f, 0.000336f, 0.000482f, + 0.000719f, 0.000729f, 0.000831f, 0.001049f, 0.001552f, 0.001576f, 0.001710f, 0.002373f, + 0.002846f, 0.003254f, 0.004051f, 0.005035f, 0.006405f, 0.007706f, 0.009987f, 0.013092f, + 0.017715f, 0.024872f, 0.035980f, 0.055328f, 0.091248f, 0.163330f, 0.305664f, 0.524902f, + 0.726562f, 0.845215f, 0.906250f, 0.938965f, 0.957031f, 0.969238f, 0.976074f, 0.981445f, + 0.984863f, 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000000f, 0.000000f, 0.000118f, 0.000120f, 0.000351f, 0.000364f, 0.000421f, + 0.000480f, 0.000606f, 0.000728f, 0.000852f, 0.001175f, 0.001535f, 0.001673f, 0.001671f, + 0.002277f, 0.002743f, 0.003220f, 0.003922f, 0.004868f, 0.005951f, 0.007488f, 0.009430f, + 0.012527f, 0.016266f, 0.022964f, 0.033142f, 0.049805f, 0.080688f, 0.141846f, 0.265625f, + 0.473145f, 0.688477f, 0.825684f, 0.897949f, 0.934082f, 0.954102f, 0.966797f, 0.975098f, + 0.980469f, 0.984375f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, 0.993164f, 0.993652f, + 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000058f, 0.000235f, 0.000360f, 0.000243f, + 0.000440f, 0.000583f, 0.000847f, 0.000851f, 0.000852f, 0.001189f, 0.001411f, 0.001645f, + 0.001898f, 0.002417f, 0.002617f, 0.003435f, 0.003695f, 0.004616f, 0.005733f, 0.007278f, + 0.009216f, 0.012016f, 0.015701f, 0.021561f, 0.030396f, 0.045746f, 0.073120f, 0.125732f, + 0.233521f, 0.428223f, 0.653320f, 0.807617f, 0.887695f, 0.929688f, 0.951660f, 0.965820f, + 0.974121f, 0.980469f, 0.984375f, 0.986816f, 0.989746f, 0.991211f, 0.992676f, 0.993164f, + 0.994141f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000237f, 0.000237f, 0.000362f, + 0.000365f, 0.000558f, 0.000814f, 0.000727f, 0.000729f, 0.000935f, 0.001189f, 0.001403f, + 0.001569f, 0.001989f, 0.002216f, 0.002533f, 0.003307f, 0.003906f, 0.004463f, 0.005646f, + 0.006908f, 0.008980f, 0.011230f, 0.014755f, 0.020020f, 0.028320f, 0.041931f, 0.065979f, + 0.113098f, 0.209229f, 0.389648f, 0.620605f, 0.789551f, 0.879395f, 0.924805f, 0.950684f, + 0.964844f, 0.974121f, 0.979980f, 0.983398f, 0.987305f, 0.989258f, 0.991211f, 0.992676f, + 0.993652f, 0.993652f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000121f, + 0.000241f, 0.000486f, 0.000575f, 0.000707f, 0.000726f, 0.000971f, 0.000849f, 0.000966f, + 0.001350f, 0.001660f, 0.001678f, 0.002224f, 0.002483f, 0.003197f, 0.003611f, 0.004200f, + 0.005318f, 0.006744f, 0.008476f, 0.010506f, 0.014145f, 0.019089f, 0.026627f, 0.039001f, + 0.061096f, 0.103333f, 0.189819f, 0.358887f, 0.591309f, 0.773438f, 0.872559f, 0.922363f, + 0.948730f, 0.963867f, 0.973145f, 0.979492f, 0.983887f, 0.986816f, 0.989258f, 0.991211f, + 0.992188f, 0.993164f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000175f, 0.000361f, + 0.000481f, 0.000485f, 0.000364f, 0.000562f, 0.000703f, 0.000827f, 0.000842f, 0.000972f, + 0.001172f, 0.001321f, 0.001675f, 0.001684f, 0.002153f, 0.002455f, 0.003122f, 0.003391f, + 0.004177f, 0.005314f, 0.006325f, 0.007896f, 0.010368f, 0.013527f, 0.018082f, 0.025162f, + 0.037140f, 0.057343f, 0.095886f, 0.175659f, 0.334473f, 0.567871f, 0.760742f, 0.866699f, + 0.919922f, 0.947754f, 0.963379f, 0.972656f, 0.979492f, 0.984375f, 0.987305f, 0.989258f, + 0.991211f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997070f, + 0.998047f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000325f, + 0.000311f, 0.000243f, 0.000484f, 0.000486f, 0.000536f, 0.000698f, 0.000723f, 0.000844f, + 0.000972f, 0.001081f, 0.001312f, 0.001658f, 0.001914f, 0.001932f, 0.002390f, 0.003017f, + 0.003668f, 0.004353f, 0.005199f, 0.006336f, 0.007812f, 0.009972f, 0.012802f, 0.017029f, + 0.024200f, 0.035034f, 0.053833f, 0.090027f, 0.164185f, 0.316162f, 0.549805f, 0.751465f, + 0.863281f, 0.918457f, 0.947266f, 0.963379f, 0.974121f, 0.979492f, 0.984375f, 0.987793f, + 0.989746f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, 0.997070f, + 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, + 0.000231f, 0.000453f, 0.000480f, 0.000484f, 0.000485f, 0.000486f, 0.000917f, 0.000963f, + 0.000969f, 0.000970f, 0.001043f, 0.001288f, 0.001523f, 0.001684f, 0.001885f, 0.002464f, + 0.002531f, 0.003565f, 0.004124f, 0.004745f, 0.006077f, 0.007580f, 0.009605f, 0.012634f, + 0.016953f, 0.023346f, 0.033386f, 0.051697f, 0.085632f, 0.156250f, 0.303955f, 0.537598f, + 0.746582f, 0.860840f, 0.918457f, 0.947754f, 0.963867f, 0.973633f, 0.979980f, 0.984863f, + 0.987793f, 0.990234f, 0.991699f, 0.993652f, 0.994141f, 0.995117f, 0.996094f, 0.996582f, + 0.997070f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000235f, 0.000239f, 0.000359f, 0.000484f, 0.000485f, 0.000486f, 0.000628f, + 0.000957f, 0.000967f, 0.000969f, 0.001065f, 0.001288f, 0.001602f, 0.001850f, 0.001995f, + 0.002409f, 0.002523f, 0.003462f, 0.003838f, 0.004993f, 0.005917f, 0.007233f, 0.009338f, + 0.012230f, 0.015610f, 0.022415f, 0.032288f, 0.049805f, 0.082947f, 0.151489f, 0.296631f, + 0.532715f, 0.745117f, 0.862793f, 0.919434f, 0.948242f, 0.964844f, 0.974609f, 0.980957f, + 0.985352f, 0.988281f, 0.990723f, 0.992676f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000187f, 0.000437f, 0.000473f, 0.000483f, 0.000485f, 0.000606f, + 0.000583f, 0.000711f, 0.000772f, 0.000968f, 0.001107f, 0.001287f, 0.001434f, 0.001662f, + 0.001984f, 0.002449f, 0.002634f, 0.003145f, 0.003777f, 0.004410f, 0.005722f, 0.007114f, + 0.008926f, 0.011696f, 0.016006f, 0.021683f, 0.031342f, 0.048309f, 0.080750f, 0.149170f, + 0.294678f, 0.534668f, 0.749512f, 0.866211f, 0.922363f, 0.950684f, 0.966309f, 0.975586f, + 0.981934f, 0.985840f, 0.989258f, 0.991699f, 0.992676f, 0.994141f, 0.994629f, 0.996094f, + 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000247f, 0.000238f, 0.000407f, 0.000482f, 0.000484f, + 0.000604f, 0.000869f, 0.000909f, 0.000721f, 0.000955f, 0.001000f, 0.001241f, 0.001342f, + 0.001655f, 0.001721f, 0.002329f, 0.002623f, 0.003086f, 0.003677f, 0.004349f, 0.005600f, + 0.006962f, 0.008835f, 0.011581f, 0.015274f, 0.021286f, 0.030884f, 0.047760f, 0.079895f, + 0.148926f, 0.298584f, 0.543945f, 0.758301f, 0.872559f, 0.925781f, 0.953125f, 0.967773f, + 0.977051f, 0.982910f, 0.986816f, 0.989258f, 0.991211f, 0.993164f, 0.994629f, 0.995605f, + 0.996094f, 0.996582f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000237f, 0.000410f, 0.000472f, 0.000481f, + 0.000483f, 0.000485f, 0.000687f, 0.000913f, 0.000956f, 0.000966f, 0.000997f, 0.001341f, + 0.001415f, 0.001813f, 0.002029f, 0.002043f, 0.002594f, 0.003210f, 0.003641f, 0.004734f, + 0.005356f, 0.006882f, 0.008675f, 0.011360f, 0.014816f, 0.020920f, 0.030380f, 0.047485f, + 0.080200f, 0.151733f, 0.308105f, 0.561523f, 0.772949f, 0.881348f, 0.931152f, 0.956055f, + 0.969727f, 0.978516f, 0.983887f, 0.987793f, 0.990234f, 0.992188f, 0.993652f, 0.994629f, + 0.995605f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000254f, 0.000345f, 0.000468f, + 0.000585f, 0.000482f, 0.000603f, 0.000485f, 0.000862f, 0.000928f, 0.000965f, 0.001174f, + 0.001162f, 0.001405f, 0.001761f, 0.002016f, 0.002182f, 0.002733f, 0.002831f, 0.003504f, + 0.004456f, 0.005440f, 0.006775f, 0.008553f, 0.011055f, 0.014694f, 0.020859f, 0.030334f, + 0.047852f, 0.081970f, 0.157593f, 0.325439f, 0.586914f, 0.790527f, 0.890137f, 0.936523f, + 0.959473f, 0.973145f, 0.980469f, 0.985352f, 0.988770f, 0.990723f, 0.992676f, 0.994141f, + 0.995117f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000241f, 0.000237f, 0.000340f, + 0.000457f, 0.000580f, 0.000481f, 0.000601f, 0.000605f, 0.000742f, 0.000951f, 0.000953f, + 0.001131f, 0.001257f, 0.001396f, 0.001730f, 0.001936f, 0.002102f, 0.002682f, 0.002762f, + 0.003733f, 0.004425f, 0.005344f, 0.006516f, 0.008354f, 0.010971f, 0.014793f, 0.020859f, + 0.030640f, 0.048859f, 0.085144f, 0.167358f, 0.350586f, 0.620117f, 0.811035f, 0.900391f, + 0.942383f, 0.963379f, 0.975098f, 0.981934f, 0.986816f, 0.989746f, 0.992188f, 0.993164f, + 0.994629f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000131f, + 0.000301f, 0.000430f, 0.000470f, 0.000593f, 0.000571f, 0.000587f, 0.000693f, 0.000906f, + 0.000959f, 0.000965f, 0.001094f, 0.001364f, 0.001522f, 0.001783f, 0.002094f, 0.002615f, + 0.003038f, 0.003365f, 0.004307f, 0.005135f, 0.006493f, 0.008347f, 0.011055f, 0.014824f, + 0.020844f, 0.031204f, 0.050507f, 0.090027f, 0.182129f, 0.385498f, 0.659668f, 0.834473f, + 0.913086f, 0.949219f, 0.967285f, 0.978027f, 0.983887f, 0.987793f, 0.991211f, 0.992188f, + 0.994141f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000189f, 0.000122f, 0.000122f, + 0.000241f, 0.000295f, 0.000425f, 0.000457f, 0.000592f, 0.000481f, 0.000603f, 0.000697f, + 0.000926f, 0.000943f, 0.000960f, 0.001022f, 0.001435f, 0.001632f, 0.001658f, 0.002024f, + 0.002468f, 0.003010f, 0.003210f, 0.004124f, 0.005219f, 0.006351f, 0.008163f, 0.010933f, + 0.015030f, 0.021271f, 0.032257f, 0.053009f, 0.097534f, 0.203003f, 0.432373f, 0.704102f, + 0.858887f, 0.924805f, 0.955566f, 0.970703f, 0.979492f, 0.985840f, 0.989258f, 0.991699f, + 0.993164f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000214f, + 0.000201f, 0.000239f, 0.000241f, 0.000383f, 0.000461f, 0.000474f, 0.000479f, 0.000598f, + 0.000736f, 0.000905f, 0.000947f, 0.001072f, 0.001180f, 0.001376f, 0.001572f, 0.001752f, + 0.001900f, 0.002258f, 0.002792f, 0.003487f, 0.004055f, 0.005161f, 0.006424f, 0.008209f, + 0.010933f, 0.015030f, 0.021942f, 0.033630f, 0.056671f, 0.107666f, 0.233276f, 0.492188f, + 0.752441f, 0.881836f, 0.937012f, 0.961914f, 0.975098f, 0.982910f, 0.987305f, 0.990234f, + 0.992676f, 0.994629f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000132f, + 0.000224f, 0.000129f, 0.000237f, 0.000240f, 0.000337f, 0.000430f, 0.000468f, 0.000579f, + 0.000593f, 0.000602f, 0.000881f, 0.000936f, 0.000956f, 0.000963f, 0.001282f, 0.001519f, + 0.001607f, 0.001852f, 0.002150f, 0.002737f, 0.003508f, 0.003990f, 0.005077f, 0.006516f, + 0.008179f, 0.011185f, 0.015511f, 0.022446f, 0.035614f, 0.061859f, 0.122681f, 0.275879f, + 0.563965f, 0.798828f, 0.903809f, 0.946777f, 0.967773f, 0.978516f, 0.984863f, 0.988770f, + 0.991699f, 0.993652f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000149f, 0.000122f, 0.000207f, 0.000371f, 0.000430f, 0.000573f, + 0.000591f, 0.000598f, 0.000597f, 0.000804f, 0.000901f, 0.000948f, 0.001053f, 0.001083f, + 0.001376f, 0.001584f, 0.001878f, 0.002331f, 0.002529f, 0.003376f, 0.003944f, 0.005230f, + 0.006504f, 0.008537f, 0.011459f, 0.015747f, 0.024002f, 0.038361f, 0.069458f, 0.144409f, + 0.336914f, 0.644043f, 0.841797f, 0.922363f, 0.957520f, 0.972656f, 0.981934f, 0.987305f, + 0.990234f, 0.993164f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000230f, 0.000234f, 0.000235f, 0.000268f, 0.000400f, + 0.000448f, 0.000585f, 0.000590f, 0.000599f, 0.000641f, 0.000788f, 0.000930f, 0.000968f, + 0.001107f, 0.001251f, 0.001656f, 0.001701f, 0.002047f, 0.002691f, 0.003437f, 0.003998f, + 0.004829f, 0.006329f, 0.008492f, 0.011757f, 0.016525f, 0.025345f, 0.042297f, 0.080200f, + 0.177490f, 0.420654f, 0.724121f, 0.878906f, 0.938965f, 0.964355f, 0.977539f, 0.984863f, + 0.989746f, 0.992188f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000214f, 0.000235f, 0.000228f, 0.000240f, + 0.000429f, 0.000439f, 0.000574f, 0.000654f, 0.000583f, 0.000493f, 0.000788f, 0.000813f, + 0.000947f, 0.001062f, 0.001225f, 0.001569f, 0.001721f, 0.002048f, 0.002844f, 0.002979f, + 0.003902f, 0.004997f, 0.006454f, 0.008698f, 0.012192f, 0.018143f, 0.027634f, 0.047913f, + 0.095886f, 0.228394f, 0.526855f, 0.796875f, 0.910156f, 0.953125f, 0.973145f, 0.982422f, + 0.987793f, 0.991699f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000236f, + 0.000232f, 0.000299f, 0.000446f, 0.000417f, 0.000466f, 0.000580f, 0.000508f, 0.000710f, + 0.000800f, 0.000940f, 0.000954f, 0.001228f, 0.001496f, 0.001631f, 0.002043f, 0.002798f, + 0.003359f, 0.004139f, 0.004951f, 0.006680f, 0.008995f, 0.012764f, 0.018860f, 0.030823f, + 0.056061f, 0.120911f, 0.307617f, 0.645508f, 0.855957f, 0.934082f, 0.964355f, 0.978516f, + 0.985840f, 0.990234f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000226f, + 0.000122f, 0.000226f, 0.000373f, 0.000272f, 0.000325f, 0.000460f, 0.000471f, 0.000477f, + 0.000673f, 0.000877f, 0.000929f, 0.000951f, 0.001129f, 0.001446f, 0.001614f, 0.002096f, + 0.002619f, 0.002939f, 0.003941f, 0.005363f, 0.006844f, 0.009491f, 0.013596f, 0.020905f, + 0.035370f, 0.068420f, 0.161743f, 0.426270f, 0.755859f, 0.900879f, 0.952148f, 0.973145f, + 0.983398f, 0.989746f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000111f, 0.000236f, 0.000297f, 0.000368f, 0.000449f, 0.000467f, + 0.000588f, 0.000641f, 0.000813f, 0.000924f, 0.001035f, 0.001124f, 0.001348f, 0.001764f, + 0.001922f, 0.002439f, 0.003160f, 0.004005f, 0.005280f, 0.007107f, 0.010109f, 0.014748f, + 0.023148f, 0.041595f, 0.088440f, 0.232910f, 0.578125f, 0.841797f, 0.933594f, 0.965820f, + 0.980469f, 0.987305f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000014f, 0.000011f, 0.000116f, 0.000148f, 0.000128f, 0.000369f, 0.000418f, + 0.000563f, 0.000470f, 0.000592f, 0.000776f, 0.000901f, 0.000937f, 0.001112f, 0.001348f, + 0.001743f, 0.001904f, 0.002470f, 0.003187f, 0.003986f, 0.005360f, 0.007557f, 0.010674f, + 0.016068f, 0.026871f, 0.051666f, 0.122925f, 0.356445f, 0.729492f, 0.901855f, 0.955078f, + 0.976074f, 0.985840f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, + 0.000122f, 0.000122f, 0.000121f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000028f, 0.000019f, 0.000014f, 0.000011f, 0.000033f, 0.000118f, 0.000247f, 0.000305f, + 0.000412f, 0.000447f, 0.000576f, 0.000587f, 0.000693f, 0.000850f, 0.000949f, 0.001083f, + 0.001319f, 0.001557f, 0.001957f, 0.002424f, 0.003340f, 0.004417f, 0.005688f, 0.007774f, + 0.011497f, 0.017731f, 0.032257f, 0.068604f, 0.189575f, 0.541992f, 0.843262f, 0.938477f, + 0.970703f, 0.983887f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000121f, 0.000118f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000067f, + 0.000042f, 0.000028f, 0.000020f, 0.000015f, 0.000066f, 0.000009f, 0.000101f, 0.000118f, + 0.000260f, 0.000358f, 0.000520f, 0.000456f, 0.000563f, 0.000711f, 0.000872f, 0.000980f, + 0.001059f, 0.001309f, 0.001699f, 0.002066f, 0.002708f, 0.003248f, 0.004166f, 0.005836f, + 0.008224f, 0.012619f, 0.021484f, 0.041260f, 0.101074f, 0.323486f, 0.733887f, 0.912109f, + 0.962402f, 0.980957f, 0.995117f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000000f, 0.000000f, 0.000119f, 0.000119f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000105f, + 0.000067f, 0.000042f, 0.000029f, 0.000022f, 0.000015f, 0.000011f, 0.000040f, 0.000033f, + 0.000153f, 0.000204f, 0.000313f, 0.000501f, 0.000554f, 0.000575f, 0.000585f, 0.000778f, + 0.000925f, 0.000980f, 0.001245f, 0.001634f, 0.001989f, 0.002413f, 0.003433f, 0.004028f, + 0.005989f, 0.008911f, 0.014374f, 0.026443f, 0.057495f, 0.170166f, 0.549805f, 0.864746f, + 0.951172f, 0.977051f, 0.994629f, 0.994629f, 0.994629f, 0.994629f, 0.995605f, 0.994629f, + 0.000000f, 0.000046f, 0.000088f, 0.000118f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000108f, 0.000069f, 0.000047f, 0.000030f, 0.000022f, 0.000016f, 0.000012f, 0.000052f, + 0.000081f, 0.000100f, 0.000184f, 0.000226f, 0.000400f, 0.000467f, 0.000452f, 0.000597f, + 0.000807f, 0.000895f, 0.000942f, 0.001219f, 0.001611f, 0.002022f, 0.002352f, 0.003222f, + 0.004177f, 0.006481f, 0.009850f, 0.017517f, 0.034668f, 0.090637f, 0.331055f, 0.776367f, + 0.932129f, 0.972656f, 0.994141f, 0.994141f, 0.994629f, 0.994141f, 0.994629f, 0.994629f, + 0.000000f, 0.000000f, 0.000000f, 0.000107f, 0.000115f, 0.000112f, 0.000119f, 0.000118f, + 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000117f, 0.000072f, 0.000049f, 0.000032f, 0.000023f, 0.000017f, 0.000013f, + 0.000011f, 0.000008f, 0.000075f, 0.000151f, 0.000207f, 0.000305f, 0.000509f, 0.000499f, + 0.000560f, 0.000704f, 0.000863f, 0.000917f, 0.001220f, 0.001505f, 0.001740f, 0.002174f, + 0.003153f, 0.004559f, 0.007095f, 0.011826f, 0.022247f, 0.051147f, 0.173462f, 0.618652f, + 0.902344f, 0.966309f, 0.993164f, 0.993652f, 0.992676f, 0.992676f, 0.993164f, 0.993164f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000060f, 0.000102f, 0.000113f, + 0.000117f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000078f, 0.000052f, 0.000038f, 0.000027f, 0.000019f, + 0.000015f, 0.000011f, 0.000054f, 0.000007f, 0.000085f, 0.000108f, 0.000258f, 0.000466f, + 0.000533f, 0.000560f, 0.000662f, 0.000849f, 0.000856f, 0.000965f, 0.001180f, 0.001678f, + 0.002075f, 0.003193f, 0.005016f, 0.008095f, 0.014343f, 0.030899f, 0.090820f, 0.401367f, + 0.848145f, 0.956543f, 0.992188f, 0.992188f, 0.992188f, 0.992676f, 0.991699f, 0.992188f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000059f, 0.000096f, + 0.000107f, 0.000112f, 0.000115f, 0.000116f, 0.000117f, 0.000118f, 0.000118f, 0.000119f, + 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000088f, 0.000059f, 0.000041f, 0.000031f, + 0.000022f, 0.000017f, 0.000013f, 0.000010f, 0.000056f, 0.000091f, 0.000183f, 0.000201f, + 0.000309f, 0.000506f, 0.000547f, 0.000525f, 0.000629f, 0.000613f, 0.000817f, 0.001012f, + 0.001640f, 0.002420f, 0.003588f, 0.005520f, 0.009453f, 0.019119f, 0.050415f, 0.214722f, + 0.751465f, 0.943848f, 0.990723f, 0.990723f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000055f, 0.000095f, 0.000103f, 0.000105f, 0.000112f, 0.000114f, 0.000115f, + 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, + 0.000119f, 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000105f, 0.000069f, 0.000048f, + 0.000035f, 0.000025f, 0.000019f, 0.000015f, 0.000011f, 0.000014f, 0.000008f, 0.000071f, + 0.000193f, 0.000311f, 0.000315f, 0.000524f, 0.000483f, 0.000558f, 0.000591f, 0.000705f, + 0.000950f, 0.001389f, 0.002428f, 0.003494f, 0.006321f, 0.012306f, 0.029480f, 0.108948f, + 0.581543f, 0.924316f, 0.989746f, 0.989746f, 0.989258f, 0.989746f, 0.989258f, 0.989746f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000069f, 0.000096f, 0.000103f, 0.000107f, + 0.000109f, 0.000112f, 0.000113f, 0.000115f, 0.000115f, 0.000116f, 0.000117f, 0.000117f, + 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000119f, 0.000119f, 0.000119f, 0.000084f, + 0.000061f, 0.000042f, 0.000031f, 0.000023f, 0.000018f, 0.000014f, 0.000011f, 0.000009f, + 0.000095f, 0.000127f, 0.000223f, 0.000402f, 0.000432f, 0.000399f, 0.000494f, 0.000535f, + 0.000557f, 0.000933f, 0.001474f, 0.002300f, 0.004192f, 0.007919f, 0.017838f, 0.057068f, + 0.360840f, 0.890625f, 0.986816f, 0.987793f, 0.987305f, 0.987305f, 0.987793f, 0.987305f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000035f, 0.000041f, + 0.000088f, 0.000098f, 0.000103f, 0.000106f, 0.000110f, 0.000110f, 0.000113f, 0.000113f, + 0.000115f, 0.000116f, 0.000116f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000118f, + 0.000111f, 0.000074f, 0.000053f, 0.000038f, 0.000029f, 0.000022f, 0.000016f, 0.000013f, + 0.000010f, 0.000008f, 0.000073f, 0.000152f, 0.000296f, 0.000369f, 0.000365f, 0.000437f, + 0.000507f, 0.000661f, 0.000876f, 0.001451f, 0.002531f, 0.004898f, 0.010384f, 0.031113f, + 0.183838f, 0.833008f, 0.984375f, 0.984863f, 0.984863f, 0.984375f, 0.984863f, 0.984863f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000024f, 0.000044f, 0.000073f, 0.000087f, 0.000097f, 0.000102f, 0.000105f, + 0.000108f, 0.000110f, 0.000111f, 0.000113f, 0.000114f, 0.000114f, 0.000115f, 0.000115f, + 0.000116f, 0.000116f, 0.000101f, 0.000070f, 0.000052f, 0.000037f, 0.000027f, 0.000021f, + 0.000016f, 0.000013f, 0.000010f, 0.000008f, 0.000083f, 0.000183f, 0.000352f, 0.000355f, + 0.000362f, 0.000365f, 0.000528f, 0.000790f, 0.001469f, 0.003029f, 0.005970f, 0.017242f, + 0.089050f, 0.728516f, 0.980957f, 0.981445f, 0.981445f, 0.980957f, 0.980957f, 0.981445f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000033f, 0.000041f, 0.000073f, + 0.000083f, 0.000088f, 0.000097f, 0.000102f, 0.000105f, 0.000108f, 0.000108f, 0.000111f, + 0.000112f, 0.000113f, 0.000113f, 0.000114f, 0.000097f, 0.000068f, 0.000049f, 0.000038f, + 0.000028f, 0.000021f, 0.000016f, 0.000013f, 0.000010f, 0.000056f, 0.000151f, 0.000243f, + 0.000264f, 0.000221f, 0.000328f, 0.000449f, 0.000850f, 0.001612f, 0.003340f, 0.009361f, + 0.043121f, 0.548340f, 0.976074f, 0.976562f, 0.975586f, 0.976074f, 0.976074f, 0.976562f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000019f, 0.000052f, 0.000065f, 0.000077f, 0.000088f, 0.000094f, 0.000098f, + 0.000100f, 0.000104f, 0.000106f, 0.000108f, 0.000109f, 0.000110f, 0.000095f, 0.000069f, + 0.000052f, 0.000037f, 0.000028f, 0.000021f, 0.000017f, 0.000013f, 0.000025f, 0.000063f, + 0.000195f, 0.000233f, 0.000205f, 0.000264f, 0.000401f, 0.000789f, 0.001532f, 0.004520f, + 0.020844f, 0.321289f, 0.969238f, 0.968750f, 0.969238f, 0.968750f, 0.969238f, 0.969238f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000018f, 0.000039f, 0.000053f, + 0.000066f, 0.000079f, 0.000086f, 0.000090f, 0.000096f, 0.000100f, 0.000102f, 0.000105f, + 0.000098f, 0.000074f, 0.000053f, 0.000041f, 0.000031f, 0.000023f, 0.000017f, 0.000013f, + 0.000028f, 0.000139f, 0.000189f, 0.000179f, 0.000219f, 0.000333f, 0.000840f, 0.002119f, + 0.009193f, 0.144775f, 0.958496f, 0.958496f, 0.958008f, 0.958496f, 0.958008f, 0.958008f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000025f, 0.000040f, 0.000052f, 0.000067f, 0.000077f, 0.000082f, + 0.000089f, 0.000093f, 0.000097f, 0.000079f, 0.000059f, 0.000044f, 0.000033f, 0.000024f, + 0.000018f, 0.000014f, 0.000034f, 0.000084f, 0.000157f, 0.000199f, 0.000309f, 0.000817f, + 0.003424f, 0.054901f, 0.940918f, 0.940918f, 0.940918f, 0.940918f, 0.941406f, 0.940430f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000021f, + 0.000040f, 0.000054f, 0.000063f, 0.000072f, 0.000078f, 0.000085f, 0.000065f, 0.000049f, + 0.000036f, 0.000026f, 0.000019f, 0.000014f, 0.000042f, 0.000114f, 0.000122f, 0.000276f, + 0.001024f, 0.016357f, 0.912109f, 0.912598f, 0.911621f, 0.912598f, 0.911621f, 0.913086f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000016f, 0.000032f, 0.000045f, 0.000056f, + 0.000065f, 0.000054f, 0.000039f, 0.000028f, 0.000019f, 0.000013f, 0.000049f, 0.000079f, + 0.000226f, 0.003199f, 0.860840f, 0.859863f, 0.860352f, 0.860840f, 0.860840f, 0.860352f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000004f, 0.000021f, 0.000035f, 0.000040f, 0.000027f, 0.000018f, 0.000013f, + 0.000033f, 0.000333f, 0.764160f, 0.765137f, 0.764648f, 0.764648f, 0.764648f, 0.765137f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, + 0.000011f, 0.000009f, 0.600586f, 0.602051f, 0.602051f, 0.601562f, 0.601074f, 0.601074f, + }, + { + 0.142456f, 0.713867f, 0.883789f, 0.933105f, 0.953613f, 0.964844f, 0.972168f, 0.977539f, + 0.980957f, 0.983398f, 0.985352f, 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, + 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, + 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.012886f, 0.087646f, 0.360840f, 0.709473f, 0.859863f, 0.916992f, 0.943848f, 0.958496f, + 0.967773f, 0.973633f, 0.978516f, 0.980957f, 0.984375f, 0.986328f, 0.987793f, 0.988770f, + 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, + 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, + 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.003895f, 0.020126f, 0.063599f, 0.188721f, 0.464844f, 0.727539f, 0.853027f, 0.909668f, + 0.938477f, 0.954590f, 0.965332f, 0.971680f, 0.976562f, 0.979980f, 0.982910f, 0.985840f, + 0.986816f, 0.988770f, 0.990234f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, + 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.002062f, 0.008438f, 0.021774f, 0.049713f, 0.117676f, 0.279541f, 0.541016f, 0.751465f, + 0.855469f, 0.909180f, 0.936035f, 0.952637f, 0.963379f, 0.970703f, 0.975098f, 0.979492f, + 0.982910f, 0.984863f, 0.986328f, 0.987793f, 0.989258f, 0.990234f, 0.990723f, 0.992188f, + 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, 0.996094f, + 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.001335f, 0.004597f, 0.010628f, 0.020844f, 0.040283f, 0.082764f, 0.177612f, 0.366211f, + 0.605469f, 0.773926f, 0.863281f, 0.910156f, 0.936035f, 0.952148f, 0.962402f, 0.969727f, + 0.975098f, 0.979004f, 0.982422f, 0.984863f, 0.986328f, 0.988281f, 0.988770f, 0.989746f, + 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, + 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.996582f, 0.997070f, 0.997559f, + 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, + 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000851f, 0.002769f, 0.006130f, 0.010994f, 0.019394f, 0.034943f, 0.063293f, 0.122253f, + 0.244019f, 0.448242f, 0.660156f, 0.798828f, 0.872559f, 0.914062f, 0.937988f, 0.954102f, + 0.961914f, 0.970215f, 0.974609f, 0.978516f, 0.981934f, 0.984375f, 0.986328f, 0.987793f, + 0.988770f, 0.989746f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, + 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, + 0.997070f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000466f, 0.001933f, 0.003809f, 0.007095f, 0.011353f, 0.018204f, 0.030029f, 0.050568f, + 0.090759f, 0.170898f, 0.318848f, 0.526367f, 0.708496f, 0.820801f, 0.884277f, 0.918457f, + 0.940918f, 0.954102f, 0.963867f, 0.970215f, 0.975098f, 0.978516f, 0.981934f, 0.984863f, + 0.986328f, 0.988281f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, 0.993164f, 0.993652f, + 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, + 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000487f, 0.001685f, 0.002766f, 0.004467f, 0.007305f, 0.011215f, 0.017136f, 0.026489f, + 0.042419f, 0.071716f, 0.125244f, 0.228271f, 0.399658f, 0.599609f, 0.751953f, 0.842773f, + 0.894531f, 0.924805f, 0.943359f, 0.955566f, 0.965820f, 0.971191f, 0.976562f, 0.979980f, + 0.981934f, 0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, + 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, + 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000965f, 0.002024f, 0.003202f, 0.005009f, 0.007050f, 0.011070f, 0.015869f, + 0.023987f, 0.036835f, 0.058563f, 0.097168f, 0.169800f, 0.297852f, 0.484131f, 0.664062f, + 0.789062f, 0.861816f, 0.905273f, 0.930176f, 0.947266f, 0.958984f, 0.967285f, 0.972168f, + 0.976562f, 0.980469f, 0.982910f, 0.984863f, 0.986816f, 0.988770f, 0.989746f, 0.990723f, + 0.992188f, 0.992188f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, + 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000974f, 0.001576f, 0.002403f, 0.003510f, 0.005344f, 0.007332f, 0.010567f, + 0.015099f, 0.022064f, 0.032104f, 0.048706f, 0.078003f, 0.130249f, 0.224243f, 0.378174f, + 0.566406f, 0.720703f, 0.820312f, 0.879883f, 0.915039f, 0.936523f, 0.951660f, 0.961426f, + 0.968262f, 0.974121f, 0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.987793f, 0.989258f, + 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, + 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000240f, 0.000609f, 0.001096f, 0.001580f, 0.002674f, 0.004131f, 0.005245f, 0.007660f, + 0.010757f, 0.014221f, 0.019775f, 0.028381f, 0.041870f, 0.064697f, 0.103638f, 0.173706f, + 0.293945f, 0.466553f, 0.642090f, 0.769531f, 0.849121f, 0.895996f, 0.924316f, 0.942871f, + 0.956055f, 0.963867f, 0.970703f, 0.975098f, 0.979004f, 0.981934f, 0.984863f, 0.986328f, + 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, + 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000000f, 0.000608f, 0.001062f, 0.001268f, 0.002001f, 0.003099f, 0.003937f, 0.005379f, + 0.007595f, 0.010078f, 0.013176f, 0.018524f, 0.025787f, 0.036896f, 0.054932f, 0.085327f, + 0.137573f, 0.229980f, 0.376953f, 0.555664f, 0.708984f, 0.810547f, 0.873047f, 0.909180f, + 0.933594f, 0.948730f, 0.959961f, 0.967285f, 0.973145f, 0.977539f, 0.980469f, 0.983398f, + 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000606f, 0.000609f, 0.001317f, 0.001564f, 0.002674f, 0.003273f, 0.004402f, + 0.005630f, 0.007141f, 0.009514f, 0.012398f, 0.016678f, 0.023331f, 0.032776f, 0.047363f, + 0.071594f, 0.112610f, 0.183960f, 0.303711f, 0.470215f, 0.639648f, 0.766113f, 0.844727f, + 0.892090f, 0.921875f, 0.941895f, 0.954590f, 0.963379f, 0.970215f, 0.975098f, 0.979004f, + 0.981934f, 0.984863f, 0.986328f, 0.987793f, 0.989746f, 0.991211f, 0.991699f, 0.992676f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, + 0.996582f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000244f, 0.000727f, 0.000803f, 0.001575f, 0.002035f, 0.002821f, 0.003527f, + 0.004475f, 0.005421f, 0.007023f, 0.009491f, 0.011879f, 0.015976f, 0.021530f, 0.029587f, + 0.041809f, 0.061737f, 0.094360f, 0.150146f, 0.246460f, 0.393066f, 0.566406f, 0.712891f, + 0.812500f, 0.872070f, 0.909180f, 0.933105f, 0.948242f, 0.959961f, 0.967773f, 0.972656f, + 0.977539f, 0.980957f, 0.982910f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, + 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, + 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000244f, 0.000244f, 0.000471f, 0.000727f, 0.000967f, 0.001572f, 0.002161f, 0.002680f, + 0.003246f, 0.004337f, 0.005241f, 0.006950f, 0.009087f, 0.011497f, 0.015038f, 0.019913f, + 0.026688f, 0.037537f, 0.054352f, 0.080383f, 0.125122f, 0.202515f, 0.327148f, 0.493652f, + 0.656250f, 0.774414f, 0.849609f, 0.895508f, 0.923828f, 0.942383f, 0.954590f, 0.963867f, + 0.971191f, 0.975586f, 0.979004f, 0.982422f, 0.984863f, 0.987305f, 0.988281f, 0.989746f, + 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, + 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, + 0.000121f, 0.000244f, 0.000244f, 0.000715f, 0.001089f, 0.001278f, 0.001781f, 0.002275f, + 0.002548f, 0.003334f, 0.004150f, 0.005314f, 0.006824f, 0.008430f, 0.011200f, 0.014145f, + 0.018631f, 0.024750f, 0.033905f, 0.047760f, 0.069885f, 0.106445f, 0.169312f, 0.273682f, + 0.426270f, 0.596191f, 0.732422f, 0.823242f, 0.879883f, 0.914062f, 0.936035f, 0.950684f, + 0.960938f, 0.968750f, 0.973633f, 0.978516f, 0.981934f, 0.984375f, 0.986328f, 0.988281f, + 0.989258f, 0.990234f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, + 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999023f, + 0.000241f, 0.000244f, 0.000365f, 0.000600f, 0.000961f, 0.000972f, 0.001621f, 0.001697f, + 0.002274f, 0.002684f, 0.003359f, 0.004238f, 0.005573f, 0.006691f, 0.008057f, 0.010529f, + 0.013832f, 0.017593f, 0.022812f, 0.031174f, 0.042786f, 0.061462f, 0.092407f, 0.143799f, + 0.231201f, 0.366943f, 0.535645f, 0.688477f, 0.794922f, 0.861816f, 0.902832f, 0.928711f, + 0.945801f, 0.957520f, 0.966797f, 0.972656f, 0.976562f, 0.980469f, 0.983398f, 0.985840f, + 0.987793f, 0.989258f, 0.990234f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, + 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000243f, 0.000365f, 0.000365f, 0.000798f, 0.000968f, 0.001249f, 0.001528f, + 0.001798f, 0.002457f, 0.002798f, 0.003494f, 0.004353f, 0.005306f, 0.006363f, 0.008141f, + 0.010147f, 0.012596f, 0.016006f, 0.021423f, 0.028503f, 0.039185f, 0.055420f, 0.081116f, + 0.124390f, 0.198120f, 0.316895f, 0.478516f, 0.641113f, 0.763672f, 0.842773f, 0.891113f, + 0.921387f, 0.941406f, 0.954590f, 0.963867f, 0.970215f, 0.975586f, 0.979492f, 0.982910f, + 0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000238f, 0.000365f, 0.000365f, 0.000598f, 0.000820f, 0.001200f, 0.001279f, + 0.001631f, 0.001736f, 0.002172f, 0.002874f, 0.003576f, 0.004391f, 0.005096f, 0.006176f, + 0.007545f, 0.009674f, 0.012505f, 0.015945f, 0.020187f, 0.026550f, 0.035706f, 0.049835f, + 0.072510f, 0.109253f, 0.171631f, 0.275391f, 0.426514f, 0.594238f, 0.730469f, 0.822754f, + 0.877930f, 0.913574f, 0.936523f, 0.951172f, 0.961426f, 0.969727f, 0.974609f, 0.978027f, + 0.982422f, 0.984863f, 0.986816f, 0.988770f, 0.989746f, 0.991699f, 0.992188f, 0.993164f, + 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.997070f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000364f, 0.000486f, 0.000487f, 0.000562f, 0.000822f, 0.000967f, + 0.001213f, 0.001871f, 0.001803f, 0.002485f, 0.002796f, 0.003410f, 0.004242f, 0.005070f, + 0.006153f, 0.007698f, 0.009262f, 0.011635f, 0.014709f, 0.019104f, 0.024521f, 0.033295f, + 0.045746f, 0.065674f, 0.096741f, 0.150635f, 0.241455f, 0.380127f, 0.548828f, 0.698242f, + 0.802246f, 0.867188f, 0.906738f, 0.931152f, 0.948242f, 0.959473f, 0.967285f, 0.973633f, + 0.978516f, 0.981445f, 0.984375f, 0.986328f, 0.988281f, 0.989258f, 0.990723f, 0.992188f, + 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.996582f, + 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000350f, 0.000483f, 0.000486f, 0.000604f, 0.000743f, 0.001093f, + 0.001187f, 0.001297f, 0.001601f, 0.001921f, 0.002501f, 0.002922f, 0.003296f, 0.004200f, + 0.005211f, 0.006054f, 0.007603f, 0.008904f, 0.011169f, 0.014091f, 0.017685f, 0.023331f, + 0.030991f, 0.042358f, 0.059326f, 0.087646f, 0.134521f, 0.213867f, 0.341309f, 0.506348f, + 0.665039f, 0.780762f, 0.854492f, 0.899414f, 0.927246f, 0.945312f, 0.957520f, 0.966309f, + 0.973145f, 0.977539f, 0.981445f, 0.984375f, 0.986328f, 0.988770f, 0.989746f, 0.991211f, + 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000120f, 0.000360f, 0.000485f, 0.000486f, 0.000487f, 0.000604f, + 0.000947f, 0.001201f, 0.001374f, 0.001715f, 0.002127f, 0.002239f, 0.002876f, 0.003426f, + 0.004063f, 0.005276f, 0.005810f, 0.006744f, 0.008713f, 0.010597f, 0.013680f, 0.016754f, + 0.021744f, 0.028778f, 0.039093f, 0.054901f, 0.079956f, 0.121399f, 0.191895f, 0.307861f, + 0.468262f, 0.633301f, 0.760742f, 0.842285f, 0.892090f, 0.923340f, 0.942383f, 0.956543f, + 0.965332f, 0.972168f, 0.977539f, 0.980469f, 0.983887f, 0.985840f, 0.988281f, 0.989746f, + 0.990723f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000121f, 0.000219f, 0.000474f, 0.000484f, 0.000486f, 0.000487f, + 0.000720f, 0.001108f, 0.001199f, 0.001209f, 0.001689f, 0.002253f, 0.002489f, 0.002916f, + 0.003714f, 0.004040f, 0.005054f, 0.006001f, 0.006737f, 0.008713f, 0.010376f, 0.012665f, + 0.016251f, 0.020615f, 0.027145f, 0.036499f, 0.050720f, 0.073181f, 0.110474f, 0.174072f, + 0.280518f, 0.434570f, 0.604980f, 0.742188f, 0.830566f, 0.885742f, 0.918945f, 0.940918f, + 0.954102f, 0.964355f, 0.971680f, 0.977051f, 0.980957f, 0.984375f, 0.986816f, 0.988281f, + 0.989746f, 0.990723f, 0.992188f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000000f, 0.000120f, 0.000239f, 0.000319f, 0.000475f, 0.000484f, 0.000485f, + 0.000618f, 0.000844f, 0.001094f, 0.001201f, 0.001570f, 0.001782f, 0.002010f, 0.002407f, + 0.003046f, 0.003099f, 0.004208f, 0.004700f, 0.005882f, 0.006878f, 0.007980f, 0.009949f, + 0.012344f, 0.015358f, 0.019821f, 0.026047f, 0.034271f, 0.047455f, 0.067993f, 0.102112f, + 0.160034f, 0.258057f, 0.406494f, 0.578613f, 0.723633f, 0.820312f, 0.880371f, 0.916016f, + 0.938965f, 0.953125f, 0.963867f, 0.971191f, 0.976562f, 0.980469f, 0.983887f, 0.985840f, + 0.988770f, 0.989746f, 0.991699f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, + 0.996094f, 0.996582f, 0.999023f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000242f, 0.000455f, 0.000481f, 0.000583f, + 0.000601f, 0.000804f, 0.000912f, 0.001247f, 0.001319f, 0.001571f, 0.001793f, 0.002337f, + 0.002464f, 0.003099f, 0.003164f, 0.003809f, 0.004627f, 0.005764f, 0.006397f, 0.008118f, + 0.009605f, 0.011917f, 0.015083f, 0.018692f, 0.024384f, 0.032806f, 0.044983f, 0.063477f, + 0.095337f, 0.148560f, 0.240112f, 0.382324f, 0.556641f, 0.708984f, 0.812500f, 0.875488f, + 0.913574f, 0.937500f, 0.953125f, 0.963867f, 0.971191f, 0.977051f, 0.980957f, 0.983887f, + 0.986816f, 0.988281f, 0.990234f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995605f, + 0.995605f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000240f, 0.000242f, 0.000524f, 0.000597f, + 0.000604f, 0.000606f, 0.000674f, 0.001040f, 0.001238f, 0.001427f, 0.001637f, 0.001670f, + 0.002104f, 0.002432f, 0.002775f, 0.003416f, 0.003860f, 0.004482f, 0.005573f, 0.006374f, + 0.007828f, 0.009384f, 0.011635f, 0.014175f, 0.018219f, 0.023224f, 0.031052f, 0.042603f, + 0.060730f, 0.089661f, 0.139526f, 0.225464f, 0.363525f, 0.538574f, 0.696289f, 0.806152f, + 0.872559f, 0.912109f, 0.937012f, 0.952637f, 0.963867f, 0.971191f, 0.976562f, 0.981445f, + 0.984863f, 0.987305f, 0.988770f, 0.990723f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, + 0.995117f, 0.996094f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000192f, 0.000240f, 0.000242f, 0.000535f, + 0.000478f, 0.000600f, 0.000843f, 0.000925f, 0.001027f, 0.001236f, 0.001502f, 0.001490f, + 0.001658f, 0.002256f, 0.002430f, 0.002880f, 0.003056f, 0.003983f, 0.004292f, 0.005333f, + 0.006264f, 0.007393f, 0.009064f, 0.011131f, 0.013741f, 0.017242f, 0.022690f, 0.029922f, + 0.040680f, 0.057831f, 0.085022f, 0.132446f, 0.214844f, 0.349121f, 0.524414f, 0.688477f, + 0.801758f, 0.871094f, 0.912109f, 0.937500f, 0.953125f, 0.964355f, 0.971680f, 0.977539f, + 0.981445f, 0.985352f, 0.987305f, 0.989258f, 0.991211f, 0.992188f, 0.993652f, 0.994629f, + 0.995117f, 0.995605f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000232f, 0.000233f, 0.000363f, + 0.000457f, 0.000714f, 0.000724f, 0.000727f, 0.000847f, 0.000992f, 0.001177f, 0.001525f, + 0.001560f, 0.001740f, 0.002090f, 0.002329f, 0.002718f, 0.003372f, 0.003902f, 0.004307f, + 0.005184f, 0.005886f, 0.007446f, 0.008667f, 0.010574f, 0.013588f, 0.016556f, 0.021744f, + 0.028854f, 0.039124f, 0.055176f, 0.081726f, 0.127075f, 0.206421f, 0.338867f, 0.515625f, + 0.683105f, 0.800293f, 0.870605f, 0.912598f, 0.937500f, 0.954590f, 0.965332f, 0.973145f, + 0.978516f, 0.982422f, 0.985840f, 0.988281f, 0.989746f, 0.991211f, 0.992676f, 0.993652f, + 0.994141f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000103f, 0.000120f, 0.000240f, 0.000240f, + 0.000484f, 0.000574f, 0.000596f, 0.000837f, 0.000820f, 0.000859f, 0.000985f, 0.001070f, + 0.001509f, 0.001554f, 0.001785f, 0.002214f, 0.002476f, 0.002754f, 0.002991f, 0.003487f, + 0.004303f, 0.005074f, 0.005920f, 0.007126f, 0.008743f, 0.010361f, 0.013023f, 0.016403f, + 0.021011f, 0.027817f, 0.037811f, 0.053375f, 0.079041f, 0.123291f, 0.201172f, 0.333252f, + 0.511719f, 0.682129f, 0.801270f, 0.872070f, 0.914062f, 0.939941f, 0.955078f, 0.966309f, + 0.973633f, 0.979004f, 0.982910f, 0.986328f, 0.988770f, 0.990234f, 0.991699f, 0.992676f, + 0.993652f, 0.995117f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000079f, 0.000053f, 0.000118f, 0.000418f, + 0.000358f, 0.000363f, 0.000678f, 0.000708f, 0.000825f, 0.000838f, 0.000878f, 0.001146f, + 0.000978f, 0.001483f, 0.001541f, 0.001769f, 0.001812f, 0.002434f, 0.002699f, 0.003225f, + 0.003298f, 0.004002f, 0.004948f, 0.005932f, 0.007084f, 0.008461f, 0.010414f, 0.012665f, + 0.015915f, 0.020615f, 0.027023f, 0.036743f, 0.051941f, 0.077332f, 0.120789f, 0.198608f, + 0.331543f, 0.512695f, 0.686523f, 0.805664f, 0.875488f, 0.917480f, 0.941406f, 0.957031f, + 0.968262f, 0.975098f, 0.980469f, 0.983887f, 0.986816f, 0.989258f, 0.990723f, 0.992188f, + 0.993164f, 0.994629f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998535f, 0.998535f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000109f, 0.000232f, 0.000349f, + 0.000478f, 0.000483f, 0.000483f, 0.000609f, 0.000795f, 0.000835f, 0.000806f, 0.000726f, + 0.001022f, 0.001222f, 0.001442f, 0.001536f, 0.001650f, 0.001714f, 0.002377f, 0.002588f, + 0.003159f, 0.003643f, 0.004036f, 0.004929f, 0.005718f, 0.006813f, 0.008072f, 0.009880f, + 0.012527f, 0.015854f, 0.020035f, 0.026352f, 0.035950f, 0.051178f, 0.076416f, 0.119751f, + 0.198730f, 0.334229f, 0.519531f, 0.694824f, 0.812988f, 0.880859f, 0.920898f, 0.944336f, + 0.958984f, 0.969727f, 0.976562f, 0.980957f, 0.984863f, 0.987793f, 0.989746f, 0.991211f, + 0.992676f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000068f, 0.000265f, + 0.000361f, 0.000478f, 0.000480f, 0.000479f, 0.000568f, 0.000693f, 0.000714f, 0.000806f, + 0.000843f, 0.000919f, 0.001222f, 0.001376f, 0.001531f, 0.001554f, 0.001987f, 0.002342f, + 0.002558f, 0.002798f, 0.003132f, 0.004021f, 0.004864f, 0.005455f, 0.006664f, 0.008110f, + 0.009613f, 0.011955f, 0.015335f, 0.019608f, 0.025879f, 0.035522f, 0.050629f, 0.075623f, + 0.120239f, 0.201416f, 0.342041f, 0.533203f, 0.707031f, 0.821777f, 0.887695f, 0.925293f, + 0.946777f, 0.961914f, 0.971680f, 0.977539f, 0.982422f, 0.985352f, 0.988281f, 0.989746f, + 0.992188f, 0.993164f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, + 0.000322f, 0.000241f, 0.000478f, 0.000480f, 0.000480f, 0.000510f, 0.000695f, 0.000710f, + 0.000958f, 0.000765f, 0.001075f, 0.001116f, 0.001318f, 0.001606f, 0.001546f, 0.001916f, + 0.002306f, 0.002499f, 0.002905f, 0.003202f, 0.003914f, 0.004498f, 0.005459f, 0.006611f, + 0.007687f, 0.009331f, 0.011757f, 0.014923f, 0.019241f, 0.025833f, 0.035492f, 0.050507f, + 0.076233f, 0.122131f, 0.207153f, 0.355225f, 0.551758f, 0.724609f, 0.833496f, 0.894531f, + 0.930664f, 0.951660f, 0.964844f, 0.973145f, 0.979492f, 0.983887f, 0.986816f, 0.989258f, + 0.991211f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000351f, 0.000458f, 0.000476f, 0.000480f, 0.000482f, 0.000528f, 0.000650f, + 0.000704f, 0.000956f, 0.000828f, 0.000963f, 0.001111f, 0.001265f, 0.001474f, 0.001806f, + 0.001872f, 0.002308f, 0.002445f, 0.002701f, 0.003229f, 0.003851f, 0.004375f, 0.005356f, + 0.006317f, 0.007458f, 0.009300f, 0.011574f, 0.014725f, 0.019165f, 0.025696f, 0.035461f, + 0.050812f, 0.077637f, 0.125977f, 0.216797f, 0.374756f, 0.576660f, 0.745117f, 0.848145f, + 0.904785f, 0.936523f, 0.956055f, 0.967773f, 0.975586f, 0.980957f, 0.984863f, 0.987793f, + 0.990234f, 0.992188f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000292f, 0.000224f, 0.000452f, 0.000453f, 0.000479f, 0.000480f, 0.000517f, + 0.000614f, 0.000902f, 0.000712f, 0.000959f, 0.000978f, 0.001100f, 0.001276f, 0.001461f, + 0.001524f, 0.001651f, 0.002041f, 0.002350f, 0.002853f, 0.003433f, 0.003622f, 0.004166f, + 0.005043f, 0.006187f, 0.007534f, 0.009209f, 0.011551f, 0.014908f, 0.019012f, 0.025406f, + 0.035461f, 0.051575f, 0.079651f, 0.131714f, 0.230957f, 0.401367f, 0.607910f, 0.769531f, + 0.863281f, 0.914062f, 0.942871f, 0.959961f, 0.970703f, 0.978027f, 0.982910f, 0.986816f, + 0.988770f, 0.991699f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000238f, 0.000355f, 0.000449f, 0.000462f, 0.000474f, 0.000477f, + 0.000482f, 0.000846f, 0.000726f, 0.000706f, 0.000953f, 0.000889f, 0.001012f, 0.001259f, + 0.001390f, 0.001755f, 0.001658f, 0.002060f, 0.002369f, 0.002539f, 0.003170f, 0.003460f, + 0.004131f, 0.004993f, 0.006008f, 0.007431f, 0.009109f, 0.011444f, 0.014252f, 0.019058f, + 0.025574f, 0.036011f, 0.053162f, 0.083435f, 0.140381f, 0.250488f, 0.436035f, 0.645996f, + 0.795898f, 0.880371f, 0.924316f, 0.949219f, 0.963867f, 0.973145f, 0.980469f, 0.984863f, + 0.988281f, 0.990723f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000239f, 0.000306f, 0.000440f, 0.000437f, 0.000474f, + 0.000478f, 0.000481f, 0.000523f, 0.000664f, 0.000731f, 0.000802f, 0.000935f, 0.001022f, + 0.001173f, 0.001314f, 0.001504f, 0.001831f, 0.001984f, 0.002317f, 0.002472f, 0.003199f, + 0.003370f, 0.004189f, 0.004868f, 0.005924f, 0.007320f, 0.008926f, 0.011421f, 0.014595f, + 0.019119f, 0.026260f, 0.036987f, 0.055176f, 0.088440f, 0.152466f, 0.277832f, 0.479980f, + 0.686523f, 0.823242f, 0.895508f, 0.933105f, 0.955566f, 0.969238f, 0.976562f, 0.982422f, + 0.986816f, 0.989746f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000280f, 0.000417f, 0.000448f, + 0.000468f, 0.000476f, 0.000479f, 0.000490f, 0.000845f, 0.000688f, 0.000740f, 0.000945f, + 0.000998f, 0.001148f, 0.001266f, 0.001414f, 0.001475f, 0.001667f, 0.002262f, 0.002537f, + 0.003019f, 0.003288f, 0.004223f, 0.004768f, 0.005890f, 0.007259f, 0.009026f, 0.011360f, + 0.014297f, 0.019272f, 0.026474f, 0.038116f, 0.058197f, 0.095032f, 0.168945f, 0.313965f, + 0.533203f, 0.731445f, 0.850098f, 0.911133f, 0.942871f, 0.961914f, 0.972656f, 0.979980f, + 0.984863f, 0.988770f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000187f, 0.000233f, 0.000141f, 0.000271f, 0.000341f, + 0.000380f, 0.000465f, 0.000473f, 0.000590f, 0.000605f, 0.000798f, 0.000847f, 0.000934f, + 0.000946f, 0.000836f, 0.001009f, 0.001142f, 0.001430f, 0.001495f, 0.001850f, 0.002111f, + 0.002541f, 0.003035f, 0.003300f, 0.004139f, 0.004913f, 0.005718f, 0.007141f, 0.008934f, + 0.011475f, 0.014832f, 0.019653f, 0.027573f, 0.039917f, 0.062225f, 0.104919f, 0.192017f, + 0.362305f, 0.594238f, 0.775879f, 0.875977f, 0.925293f, 0.952148f, 0.967773f, 0.977051f, + 0.983398f, 0.988281f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000238f, 0.000243f, + 0.000238f, 0.000424f, 0.000453f, 0.000467f, 0.000475f, 0.000581f, 0.000689f, 0.000795f, + 0.000634f, 0.000823f, 0.001014f, 0.000900f, 0.001083f, 0.001485f, 0.001731f, 0.001851f, + 0.002056f, 0.002373f, 0.002621f, 0.003445f, 0.004082f, 0.004578f, 0.005821f, 0.007217f, + 0.008881f, 0.011330f, 0.014778f, 0.020416f, 0.028473f, 0.042419f, 0.067993f, 0.118286f, + 0.225342f, 0.425293f, 0.661621f, 0.818848f, 0.899902f, 0.939453f, 0.960449f, 0.973145f, + 0.980957f, 0.985840f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000224f, 0.000122f, + 0.000231f, 0.000245f, 0.000411f, 0.000520f, 0.000463f, 0.000470f, 0.000587f, 0.000361f, + 0.000712f, 0.000694f, 0.000815f, 0.000978f, 0.001055f, 0.001105f, 0.001390f, 0.001438f, + 0.001705f, 0.001984f, 0.002333f, 0.002546f, 0.003408f, 0.003876f, 0.004627f, 0.005783f, + 0.007198f, 0.008995f, 0.011383f, 0.015396f, 0.020828f, 0.030029f, 0.045654f, 0.075439f, + 0.137451f, 0.271973f, 0.503418f, 0.728516f, 0.857910f, 0.920410f, 0.951172f, 0.968262f, + 0.977539f, 0.984375f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000173f, 0.000150f, 0.000278f, 0.000376f, 0.000427f, 0.000470f, 0.000352f, 0.000356f, + 0.000475f, 0.000441f, 0.000709f, 0.000774f, 0.000970f, 0.001013f, 0.000998f, 0.001193f, + 0.001397f, 0.001677f, 0.001957f, 0.002268f, 0.002529f, 0.003353f, 0.003874f, 0.004555f, + 0.005692f, 0.007160f, 0.008987f, 0.011543f, 0.015732f, 0.021896f, 0.032135f, 0.050140f, + 0.086548f, 0.165894f, 0.337646f, 0.593750f, 0.791504f, 0.892090f, 0.938477f, 0.961914f, + 0.974609f, 0.982422f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.995117f, 0.995605f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000187f, 0.000130f, 0.000231f, 0.000315f, 0.000298f, 0.000332f, 0.000343f, + 0.000465f, 0.000472f, 0.000579f, 0.000717f, 0.000839f, 0.000932f, 0.000817f, 0.001086f, + 0.001090f, 0.001545f, 0.001735f, 0.001837f, 0.002485f, 0.002493f, 0.003288f, 0.003828f, + 0.004520f, 0.005833f, 0.007156f, 0.009193f, 0.012123f, 0.015839f, 0.022934f, 0.034760f, + 0.056488f, 0.102600f, 0.208862f, 0.427734f, 0.687988f, 0.846191f, 0.919434f, 0.952637f, + 0.969727f, 0.979980f, 0.993652f, 0.994629f, 0.994141f, 0.994629f, 0.994629f, 0.994629f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000133f, 0.000141f, 0.000234f, 0.000300f, 0.000397f, + 0.000436f, 0.000456f, 0.000465f, 0.000534f, 0.000663f, 0.000810f, 0.000796f, 0.000812f, + 0.001062f, 0.001237f, 0.001428f, 0.001565f, 0.001818f, 0.002182f, 0.002783f, 0.002943f, + 0.003773f, 0.004715f, 0.005482f, 0.007195f, 0.009285f, 0.012207f, 0.016922f, 0.024567f, + 0.038483f, 0.066101f, 0.127563f, 0.274170f, 0.540527f, 0.774414f, 0.891113f, 0.940430f, + 0.965332f, 0.977539f, 0.993652f, 0.994141f, 0.994629f, 0.994141f, 0.994629f, 0.994141f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000124f, 0.000116f, 0.000119f, 0.000125f, 0.000121f, 0.000197f, + 0.000323f, 0.000418f, 0.000446f, 0.000433f, 0.000467f, 0.000612f, 0.000710f, 0.000783f, + 0.000911f, 0.000817f, 0.001161f, 0.001343f, 0.001514f, 0.001707f, 0.002081f, 0.002386f, + 0.002882f, 0.003609f, 0.004627f, 0.005478f, 0.007011f, 0.009384f, 0.012695f, 0.017960f, + 0.026901f, 0.044067f, 0.080078f, 0.167114f, 0.374023f, 0.664062f, 0.845703f, 0.923340f, + 0.957031f, 0.974121f, 0.992676f, 0.993652f, 0.993164f, 0.993652f, 0.993652f, 0.993164f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000121f, 0.000121f, 0.000052f, 0.000039f, 0.000029f, 0.000054f, 0.000045f, 0.000118f, + 0.000128f, 0.000231f, 0.000387f, 0.000429f, 0.000446f, 0.000544f, 0.000539f, 0.000648f, + 0.000749f, 0.000790f, 0.000978f, 0.001102f, 0.001195f, 0.001501f, 0.001761f, 0.001978f, + 0.002661f, 0.003170f, 0.003519f, 0.004509f, 0.005344f, 0.007004f, 0.009361f, 0.013229f, + 0.019196f, 0.030258f, 0.052002f, 0.102661f, 0.234131f, 0.511230f, 0.774902f, 0.898438f, + 0.947754f, 0.970215f, 0.992188f, 0.992676f, 0.993164f, 0.992676f, 0.992188f, 0.992188f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000070f, 0.000052f, 0.000038f, 0.000030f, 0.000023f, 0.000060f, + 0.000116f, 0.000121f, 0.000252f, 0.000337f, 0.000306f, 0.000435f, 0.000450f, 0.000562f, + 0.000584f, 0.000722f, 0.000858f, 0.000888f, 0.000969f, 0.001230f, 0.001429f, 0.001576f, + 0.001827f, 0.002361f, 0.002863f, 0.003267f, 0.004047f, 0.005394f, 0.007256f, 0.009781f, + 0.013855f, 0.021439f, 0.035034f, 0.065063f, 0.141724f, 0.346680f, 0.665527f, 0.859375f, + 0.934570f, 0.965820f, 0.991699f, 0.991699f, 0.991699f, 0.992188f, 0.991699f, 0.991699f, + 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000099f, 0.000069f, 0.000051f, 0.000039f, 0.000030f, 0.000023f, + 0.000024f, 0.000115f, 0.000103f, 0.000224f, 0.000204f, 0.000339f, 0.000407f, 0.000437f, + 0.000452f, 0.000489f, 0.000663f, 0.000821f, 0.000922f, 0.001004f, 0.001086f, 0.001279f, + 0.001554f, 0.001651f, 0.001997f, 0.002390f, 0.003136f, 0.004223f, 0.005508f, 0.007339f, + 0.010094f, 0.014854f, 0.024048f, 0.042664f, 0.087036f, 0.213867f, 0.516113f, 0.799805f, + 0.915527f, 0.958984f, 0.990723f, 0.991211f, 0.990723f, 0.990723f, 0.990723f, 0.991211f, + 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000096f, 0.000073f, 0.000053f, 0.000040f, 0.000031f, + 0.000025f, 0.000020f, 0.000017f, 0.000105f, 0.000110f, 0.000135f, 0.000235f, 0.000380f, + 0.000462f, 0.000513f, 0.000556f, 0.000638f, 0.000804f, 0.000868f, 0.000897f, 0.001002f, + 0.001079f, 0.001246f, 0.001596f, 0.002153f, 0.002213f, 0.003094f, 0.004158f, 0.005306f, + 0.007458f, 0.010887f, 0.017166f, 0.028748f, 0.055176f, 0.128174f, 0.350586f, 0.703613f, + 0.888184f, 0.951172f, 0.988770f, 0.989746f, 0.989746f, 0.989746f, 0.989746f, 0.989746f, + 0.000122f, 0.000120f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000101f, 0.000073f, 0.000057f, 0.000043f, + 0.000033f, 0.000027f, 0.000021f, 0.000018f, 0.000105f, 0.000112f, 0.000111f, 0.000161f, + 0.000320f, 0.000390f, 0.000421f, 0.000438f, 0.000559f, 0.000665f, 0.000735f, 0.000719f, + 0.000704f, 0.000887f, 0.001223f, 0.001384f, 0.001867f, 0.002462f, 0.003216f, 0.004032f, + 0.005367f, 0.007988f, 0.012054f, 0.019943f, 0.035919f, 0.078064f, 0.215332f, 0.566895f, + 0.845703f, 0.939941f, 0.987793f, 0.988281f, 0.987793f, 0.987793f, 0.988281f, 0.988281f, + 0.000000f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000103f, 0.000077f, 0.000061f, + 0.000046f, 0.000037f, 0.000030f, 0.000023f, 0.000019f, 0.000016f, 0.000039f, 0.000094f, + 0.000181f, 0.000205f, 0.000350f, 0.000392f, 0.000423f, 0.000510f, 0.000619f, 0.000672f, + 0.000705f, 0.000632f, 0.000807f, 0.001038f, 0.001278f, 0.001894f, 0.002245f, 0.002758f, + 0.003883f, 0.005863f, 0.008636f, 0.013672f, 0.023880f, 0.048828f, 0.127441f, 0.400879f, + 0.779297f, 0.925781f, 0.985840f, 0.986328f, 0.986328f, 0.985840f, 0.986328f, 0.986328f, + 0.000000f, 0.000100f, 0.000108f, 0.000118f, 0.000119f, 0.000118f, 0.000119f, 0.000119f, + 0.000119f, 0.000119f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000111f, 0.000086f, + 0.000066f, 0.000051f, 0.000041f, 0.000032f, 0.000026f, 0.000021f, 0.000018f, 0.000015f, + 0.000086f, 0.000131f, 0.000190f, 0.000293f, 0.000419f, 0.000481f, 0.000477f, 0.000438f, + 0.000542f, 0.000564f, 0.000599f, 0.000700f, 0.000916f, 0.001122f, 0.001589f, 0.001997f, + 0.002678f, 0.004017f, 0.005814f, 0.009361f, 0.015808f, 0.031250f, 0.075989f, 0.250732f, + 0.676758f, 0.904297f, 0.983887f, 0.983887f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, + 0.000000f, 0.000000f, 0.000077f, 0.000112f, 0.000104f, 0.000115f, 0.000115f, 0.000117f, + 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000119f, 0.000118f, + 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, + 0.000097f, 0.000076f, 0.000060f, 0.000046f, 0.000037f, 0.000030f, 0.000024f, 0.000020f, + 0.000045f, 0.000063f, 0.000091f, 0.000140f, 0.000202f, 0.000333f, 0.000305f, 0.000399f, + 0.000462f, 0.000452f, 0.000535f, 0.000531f, 0.000631f, 0.000866f, 0.000858f, 0.001307f, + 0.001844f, 0.002823f, 0.004070f, 0.006264f, 0.010536f, 0.020035f, 0.045990f, 0.145996f, + 0.532227f, 0.874023f, 0.980957f, 0.981445f, 0.980957f, 0.981445f, 0.980957f, 0.981445f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000091f, 0.000103f, 0.000105f, 0.000106f, + 0.000111f, 0.000113f, 0.000115f, 0.000114f, 0.000116f, 0.000116f, 0.000117f, 0.000117f, + 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, 0.000118f, + 0.000118f, 0.000112f, 0.000084f, 0.000069f, 0.000055f, 0.000043f, 0.000036f, 0.000028f, + 0.000024f, 0.000020f, 0.000028f, 0.000039f, 0.000083f, 0.000141f, 0.000211f, 0.000262f, + 0.000413f, 0.000305f, 0.000370f, 0.000358f, 0.000489f, 0.000564f, 0.000599f, 0.000893f, + 0.001084f, 0.001696f, 0.002697f, 0.004074f, 0.006836f, 0.012878f, 0.028122f, 0.083496f, + 0.364014f, 0.826660f, 0.976562f, 0.977539f, 0.977051f, 0.977539f, 0.978027f, 0.977051f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000015f, 0.000086f, + 0.000077f, 0.000103f, 0.000100f, 0.000109f, 0.000110f, 0.000111f, 0.000112f, 0.000112f, + 0.000114f, 0.000114f, 0.000115f, 0.000115f, 0.000116f, 0.000115f, 0.000116f, 0.000116f, + 0.000117f, 0.000117f, 0.000117f, 0.000100f, 0.000079f, 0.000066f, 0.000053f, 0.000041f, + 0.000035f, 0.000028f, 0.000023f, 0.000019f, 0.000017f, 0.000034f, 0.000113f, 0.000174f, + 0.000257f, 0.000325f, 0.000356f, 0.000324f, 0.000409f, 0.000454f, 0.000474f, 0.000659f, + 0.000778f, 0.001243f, 0.001575f, 0.002472f, 0.004105f, 0.007957f, 0.016800f, 0.047852f, + 0.217529f, 0.755371f, 0.972656f, 0.973145f, 0.973145f, 0.973145f, 0.973145f, 0.973145f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000028f, 0.000049f, 0.000085f, 0.000081f, 0.000096f, 0.000101f, 0.000104f, + 0.000106f, 0.000108f, 0.000109f, 0.000110f, 0.000111f, 0.000112f, 0.000113f, 0.000113f, + 0.000114f, 0.000114f, 0.000114f, 0.000115f, 0.000115f, 0.000096f, 0.000078f, 0.000064f, + 0.000051f, 0.000043f, 0.000035f, 0.000029f, 0.000024f, 0.000020f, 0.000026f, 0.000055f, + 0.000087f, 0.000135f, 0.000248f, 0.000261f, 0.000274f, 0.000258f, 0.000296f, 0.000359f, + 0.000474f, 0.000627f, 0.001012f, 0.001484f, 0.002630f, 0.004536f, 0.010277f, 0.027405f, + 0.119507f, 0.645996f, 0.966797f, 0.967285f, 0.967285f, 0.967285f, 0.966797f, 0.966797f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000021f, 0.000065f, 0.000074f, + 0.000077f, 0.000091f, 0.000091f, 0.000099f, 0.000098f, 0.000103f, 0.000103f, 0.000106f, + 0.000107f, 0.000108f, 0.000109f, 0.000110f, 0.000111f, 0.000111f, 0.000112f, 0.000096f, + 0.000079f, 0.000064f, 0.000053f, 0.000043f, 0.000036f, 0.000030f, 0.000024f, 0.000021f, + 0.000018f, 0.000028f, 0.000072f, 0.000125f, 0.000233f, 0.000243f, 0.000220f, 0.000258f, + 0.000320f, 0.000353f, 0.000630f, 0.000932f, 0.001324f, 0.002357f, 0.005402f, 0.014534f, + 0.062561f, 0.493164f, 0.958008f, 0.958008f, 0.958984f, 0.958496f, 0.958496f, 0.958008f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000011f, 0.000035f, 0.000041f, 0.000064f, 0.000074f, 0.000081f, 0.000082f, 0.000090f, + 0.000092f, 0.000096f, 0.000099f, 0.000100f, 0.000102f, 0.000104f, 0.000105f, 0.000106f, + 0.000107f, 0.000099f, 0.000082f, 0.000067f, 0.000055f, 0.000047f, 0.000038f, 0.000031f, + 0.000026f, 0.000022f, 0.000018f, 0.000037f, 0.000071f, 0.000111f, 0.000190f, 0.000204f, + 0.000153f, 0.000245f, 0.000299f, 0.000482f, 0.000790f, 0.001330f, 0.002619f, 0.007282f, + 0.031097f, 0.318115f, 0.946289f, 0.946777f, 0.946777f, 0.946777f, 0.946777f, 0.946777f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000008f, 0.000029f, 0.000044f, + 0.000055f, 0.000063f, 0.000073f, 0.000075f, 0.000081f, 0.000087f, 0.000090f, 0.000092f, + 0.000094f, 0.000097f, 0.000099f, 0.000100f, 0.000087f, 0.000071f, 0.000059f, 0.000049f, + 0.000040f, 0.000034f, 0.000028f, 0.000024f, 0.000020f, 0.000016f, 0.000072f, 0.000114f, + 0.000169f, 0.000147f, 0.000181f, 0.000246f, 0.000367f, 0.000626f, 0.001325f, 0.003117f, + 0.013741f, 0.167480f, 0.929688f, 0.929688f, 0.929688f, 0.930176f, 0.930664f, 0.930176f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000019f, 0.000030f, 0.000044f, 0.000049f, 0.000062f, + 0.000068f, 0.000072f, 0.000078f, 0.000081f, 0.000084f, 0.000087f, 0.000090f, 0.000079f, + 0.000065f, 0.000054f, 0.000044f, 0.000037f, 0.000030f, 0.000025f, 0.000021f, 0.000017f, + 0.000052f, 0.000100f, 0.000132f, 0.000130f, 0.000164f, 0.000297f, 0.000552f, 0.001273f, + 0.005009f, 0.071594f, 0.903809f, 0.905273f, 0.904297f, 0.904785f, 0.904785f, 0.904785f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000013f, 0.000028f, 0.000036f, 0.000045f, 0.000053f, 0.000060f, 0.000066f, + 0.000071f, 0.000075f, 0.000071f, 0.000058f, 0.000049f, 0.000040f, 0.000033f, 0.000027f, + 0.000022f, 0.000018f, 0.000032f, 0.000078f, 0.000090f, 0.000123f, 0.000175f, 0.000441f, + 0.001637f, 0.022537f, 0.865234f, 0.865234f, 0.865723f, 0.865723f, 0.865234f, 0.864746f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, + 0.000017f, 0.000027f, 0.000036f, 0.000042f, 0.000050f, 0.000056f, 0.000052f, 0.000043f, + 0.000035f, 0.000028f, 0.000022f, 0.000018f, 0.000049f, 0.000055f, 0.000047f, 0.000108f, + 0.000342f, 0.004566f, 0.802734f, 0.803711f, 0.803711f, 0.803711f, 0.803711f, 0.803711f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000013f, + 0.000022f, 0.000030f, 0.000033f, 0.000027f, 0.000021f, 0.000015f, 0.000011f, 0.000031f, + 0.000045f, 0.000449f, 0.708496f, 0.707520f, 0.708984f, 0.708496f, 0.707520f, 0.708008f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000011f, + 0.000006f, 0.000007f, 0.575195f, 0.575195f, 0.575195f, 0.575195f, 0.575195f, 0.575195f, + }, + { + 0.158813f, 0.632812f, 0.824219f, 0.891602f, 0.924805f, 0.942383f, 0.954102f, 0.962402f, + 0.968262f, 0.972656f, 0.976074f, 0.978516f, 0.980957f, 0.982910f, 0.984375f, 0.985840f, + 0.986816f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, + 0.993652f, 0.993652f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, + 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.019775f, 0.115845f, 0.361084f, 0.642578f, 0.798340f, 0.872559f, 0.911133f, 0.933594f, + 0.947266f, 0.957031f, 0.964355f, 0.968750f, 0.973145f, 0.976562f, 0.979492f, 0.981934f, + 0.983398f, 0.984863f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, 0.990234f, 0.991211f, + 0.991699f, 0.992676f, 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, + 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, + 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.006638f, 0.031082f, 0.089661f, 0.222168f, 0.448242f, 0.663086f, 0.794434f, 0.864258f, + 0.903320f, 0.926758f, 0.942383f, 0.953613f, 0.961426f, 0.966797f, 0.972168f, 0.975586f, + 0.978027f, 0.980469f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, + 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, + 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.003246f, 0.013367f, 0.032806f, 0.072754f, 0.152954f, 0.304199f, 0.509766f, 0.687500f, + 0.797852f, 0.862305f, 0.900391f, 0.923828f, 0.940430f, 0.950684f, 0.959473f, 0.965820f, + 0.970703f, 0.974121f, 0.977051f, 0.979492f, 0.981934f, 0.983887f, 0.985840f, 0.987305f, + 0.987793f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992188f, 0.993164f, + 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, + 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.002029f, 0.007267f, 0.016678f, 0.032288f, 0.061462f, 0.115051f, 0.215088f, 0.376709f, + 0.562988f, 0.712891f, 0.807617f, 0.865234f, 0.901367f, 0.923828f, 0.939453f, 0.950684f, + 0.958984f, 0.965332f, 0.970215f, 0.974609f, 0.977051f, 0.979980f, 0.981934f, 0.983887f, + 0.984863f, 0.986328f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.990723f, 0.991699f, + 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, + 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.001274f, 0.004623f, 0.009880f, 0.017792f, 0.030869f, 0.052673f, 0.091431f, 0.160645f, + 0.277832f, 0.442383f, 0.610352f, 0.737793f, 0.819824f, 0.870605f, 0.902832f, 0.924805f, + 0.939941f, 0.950195f, 0.958496f, 0.964844f, 0.970215f, 0.973633f, 0.977051f, 0.979980f, + 0.981934f, 0.983398f, 0.984863f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, + 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, + 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, + 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000943f, 0.003231f, 0.006317f, 0.011040f, 0.018051f, 0.029190f, 0.046936f, 0.075867f, + 0.125488f, 0.210449f, 0.341797f, 0.503906f, 0.652344f, 0.761230f, 0.832031f, 0.877441f, + 0.906738f, 0.927734f, 0.940918f, 0.951172f, 0.959473f, 0.965820f, 0.970703f, 0.974121f, + 0.977051f, 0.979492f, 0.981934f, 0.983398f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, + 0.990234f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, + 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000731f, 0.001970f, 0.004425f, 0.007351f, 0.011627f, 0.017975f, 0.027161f, 0.041779f, + 0.064270f, 0.101685f, 0.164917f, 0.265137f, 0.406494f, 0.561035f, 0.692383f, 0.785156f, + 0.845703f, 0.884766f, 0.911621f, 0.930176f, 0.942871f, 0.953125f, 0.959961f, 0.965332f, + 0.970703f, 0.974121f, 0.977539f, 0.979492f, 0.982422f, 0.983887f, 0.985840f, 0.987305f, + 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, + 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998535f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000487f, 0.001872f, 0.003445f, 0.005367f, 0.008400f, 0.012405f, 0.017822f, 0.025345f, + 0.037964f, 0.056244f, 0.085327f, 0.132935f, 0.210327f, 0.325928f, 0.471924f, 0.615723f, + 0.729004f, 0.807617f, 0.859375f, 0.894043f, 0.916504f, 0.934570f, 0.945801f, 0.955078f, + 0.961426f, 0.967285f, 0.972168f, 0.975586f, 0.978516f, 0.980957f, 0.982422f, 0.984863f, + 0.985840f, 0.986816f, 0.988770f, 0.989258f, 0.990723f, 0.991699f, 0.992188f, 0.992676f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, + 0.996094f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.000363f, 0.001300f, 0.002499f, 0.003784f, 0.006153f, 0.008896f, 0.012367f, 0.017227f, + 0.024185f, 0.034241f, 0.049591f, 0.072754f, 0.111023f, 0.170776f, 0.263184f, 0.391113f, + 0.535645f, 0.665527f, 0.761719f, 0.828613f, 0.871582f, 0.902344f, 0.922852f, 0.937988f, + 0.949219f, 0.957031f, 0.963867f, 0.968750f, 0.972656f, 0.976074f, 0.979004f, 0.981445f, + 0.983887f, 0.984863f, 0.986328f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, + 0.992676f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, + 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.999023f, + 0.000365f, 0.000972f, 0.001874f, 0.003323f, 0.004669f, 0.006599f, 0.008919f, 0.012360f, + 0.016785f, 0.022720f, 0.031616f, 0.044647f, 0.064026f, 0.094055f, 0.141235f, 0.215332f, + 0.323486f, 0.459229f, 0.597168f, 0.710449f, 0.791992f, 0.847656f, 0.885254f, 0.910645f, + 0.929199f, 0.941895f, 0.952148f, 0.960449f, 0.965332f, 0.970703f, 0.974121f, 0.977539f, + 0.979980f, 0.981934f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, + 0.991211f, 0.992188f, 0.993164f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998535f, 0.999023f, 0.999512f, 0.999023f, 0.999512f, 0.999512f, 0.999023f, + 0.000244f, 0.000764f, 0.001375f, 0.002415f, 0.003582f, 0.004963f, 0.006973f, 0.008751f, + 0.011726f, 0.016113f, 0.021683f, 0.029129f, 0.040283f, 0.057098f, 0.081421f, 0.119019f, + 0.178955f, 0.268311f, 0.390625f, 0.528809f, 0.654785f, 0.751465f, 0.820312f, 0.866211f, + 0.896973f, 0.919434f, 0.935547f, 0.946777f, 0.956055f, 0.962402f, 0.968262f, 0.972168f, + 0.975098f, 0.979004f, 0.981445f, 0.983398f, 0.985352f, 0.986816f, 0.987793f, 0.989258f, + 0.990723f, 0.991211f, 0.992188f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, + 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000122f, 0.000606f, 0.001439f, 0.002058f, 0.002743f, 0.004169f, 0.005035f, 0.006775f, + 0.009010f, 0.012085f, 0.015717f, 0.020813f, 0.027573f, 0.037170f, 0.050812f, 0.071472f, + 0.102905f, 0.151489f, 0.225708f, 0.332031f, 0.463623f, 0.596191f, 0.707031f, 0.787598f, + 0.844238f, 0.881348f, 0.908691f, 0.927246f, 0.940918f, 0.951660f, 0.958984f, 0.965820f, + 0.970215f, 0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984375f, 0.985840f, 0.987305f, + 0.988281f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000118f, 0.000846f, 0.001303f, 0.001593f, 0.002180f, 0.003050f, 0.004353f, 0.005577f, + 0.006954f, 0.009331f, 0.011826f, 0.015007f, 0.019653f, 0.025391f, 0.034119f, 0.046112f, + 0.063660f, 0.090210f, 0.130737f, 0.192139f, 0.283203f, 0.404053f, 0.537598f, 0.658691f, + 0.753418f, 0.818848f, 0.865234f, 0.896973f, 0.918945f, 0.934570f, 0.946289f, 0.955566f, + 0.962402f, 0.967285f, 0.972168f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.985840f, + 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992676f, 0.993164f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000117f, 0.000487f, 0.000957f, 0.001514f, 0.002008f, 0.002619f, 0.003424f, 0.004551f, + 0.005836f, 0.007381f, 0.009155f, 0.011459f, 0.014366f, 0.018646f, 0.024017f, 0.031281f, + 0.042664f, 0.057068f, 0.080139f, 0.113586f, 0.165894f, 0.243164f, 0.352051f, 0.481934f, + 0.610840f, 0.716309f, 0.793945f, 0.847168f, 0.884766f, 0.910645f, 0.928223f, 0.942383f, + 0.952637f, 0.959961f, 0.965332f, 0.970703f, 0.975098f, 0.978027f, 0.980957f, 0.983398f, + 0.984863f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, + 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, + 0.997559f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000608f, 0.000952f, 0.001111f, 0.001660f, 0.002102f, 0.002817f, 0.003517f, + 0.004742f, 0.005585f, 0.007080f, 0.008980f, 0.011078f, 0.014191f, 0.017838f, 0.022614f, + 0.029404f, 0.038940f, 0.052551f, 0.071533f, 0.100769f, 0.145020f, 0.211548f, 0.307373f, + 0.430176f, 0.561523f, 0.676758f, 0.764648f, 0.828613f, 0.872070f, 0.900879f, 0.921875f, + 0.937012f, 0.948730f, 0.957520f, 0.964355f, 0.969238f, 0.973633f, 0.977539f, 0.979980f, + 0.982422f, 0.984863f, 0.986328f, 0.987793f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, + 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000244f, 0.000576f, 0.000727f, 0.001083f, 0.001186f, 0.001810f, 0.002558f, 0.002968f, + 0.003725f, 0.004913f, 0.005955f, 0.007011f, 0.008759f, 0.010918f, 0.013718f, 0.016953f, + 0.021423f, 0.027832f, 0.035980f, 0.047913f, 0.064941f, 0.090332f, 0.128174f, 0.185791f, + 0.270264f, 0.384033f, 0.514160f, 0.638184f, 0.736328f, 0.807617f, 0.856934f, 0.891602f, + 0.915039f, 0.932617f, 0.945801f, 0.954102f, 0.962402f, 0.968262f, 0.972168f, 0.976562f, + 0.979492f, 0.981445f, 0.983887f, 0.985840f, 0.987305f, 0.988281f, 0.990234f, 0.990723f, + 0.992188f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000000f, 0.000244f, 0.000708f, 0.000903f, 0.001129f, 0.001511f, 0.002031f, 0.002565f, + 0.003189f, 0.004112f, 0.004696f, 0.005989f, 0.006954f, 0.008865f, 0.010826f, 0.013031f, + 0.016312f, 0.020493f, 0.026154f, 0.033966f, 0.044159f, 0.059845f, 0.081665f, 0.114929f, + 0.164917f, 0.239624f, 0.343750f, 0.469971f, 0.598145f, 0.706055f, 0.786133f, 0.842773f, + 0.881348f, 0.908203f, 0.927246f, 0.941895f, 0.952148f, 0.959961f, 0.966797f, 0.971191f, + 0.976074f, 0.978516f, 0.981445f, 0.983887f, 0.985352f, 0.987305f, 0.988281f, 0.989258f, + 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, + 0.996094f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000122f, 0.000244f, 0.000482f, 0.000674f, 0.001029f, 0.001440f, 0.001746f, 0.002153f, + 0.002804f, 0.003206f, 0.003859f, 0.004948f, 0.005722f, 0.007206f, 0.008568f, 0.010498f, + 0.012413f, 0.015793f, 0.019989f, 0.024826f, 0.031799f, 0.041382f, 0.054932f, 0.074768f, + 0.103882f, 0.147949f, 0.213867f, 0.308838f, 0.429932f, 0.560059f, 0.675781f, 0.765625f, + 0.827148f, 0.871582f, 0.901367f, 0.923340f, 0.937988f, 0.949707f, 0.958496f, 0.965820f, + 0.969727f, 0.974609f, 0.978027f, 0.980469f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, + 0.989258f, 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, + 0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000244f, 0.000244f, 0.000363f, 0.000604f, 0.000834f, 0.001020f, 0.001548f, 0.001970f, + 0.002262f, 0.002548f, 0.003157f, 0.003914f, 0.004681f, 0.005962f, 0.006943f, 0.008263f, + 0.010277f, 0.012589f, 0.015144f, 0.018951f, 0.023788f, 0.030014f, 0.039001f, 0.051056f, + 0.069092f, 0.094666f, 0.133911f, 0.192993f, 0.279053f, 0.394287f, 0.524414f, 0.646484f, + 0.743652f, 0.812988f, 0.861328f, 0.895020f, 0.917969f, 0.935547f, 0.947754f, 0.957520f, + 0.963867f, 0.969238f, 0.974121f, 0.978027f, 0.980469f, 0.983398f, 0.984863f, 0.987305f, + 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, + 0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000118f, 0.000244f, 0.000244f, 0.000584f, 0.000837f, 0.000847f, 0.001295f, 0.001681f, + 0.002018f, 0.002348f, 0.003014f, 0.003157f, 0.004124f, 0.004547f, 0.005432f, 0.006607f, + 0.008163f, 0.010071f, 0.011925f, 0.014786f, 0.017990f, 0.022659f, 0.028824f, 0.036621f, + 0.047882f, 0.063477f, 0.087158f, 0.122559f, 0.175781f, 0.254639f, 0.363037f, 0.492188f, + 0.618652f, 0.722168f, 0.799805f, 0.852051f, 0.889648f, 0.914551f, 0.932129f, 0.944824f, + 0.955078f, 0.962891f, 0.968262f, 0.973633f, 0.977051f, 0.980469f, 0.982910f, 0.984863f, + 0.987305f, 0.988281f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, + 0.995117f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000242f, 0.000243f, 0.000243f, 0.000481f, 0.000742f, 0.000843f, 0.000969f, 0.001348f, + 0.001726f, 0.001791f, 0.002348f, 0.002853f, 0.003452f, 0.003735f, 0.004757f, 0.005516f, + 0.006744f, 0.008102f, 0.009621f, 0.011948f, 0.014320f, 0.017365f, 0.021698f, 0.027298f, + 0.034546f, 0.044891f, 0.059875f, 0.081055f, 0.112915f, 0.161255f, 0.234009f, 0.335693f, + 0.462646f, 0.592285f, 0.702637f, 0.785645f, 0.843750f, 0.883301f, 0.911133f, 0.929688f, + 0.944336f, 0.954590f, 0.961914f, 0.967773f, 0.973633f, 0.977539f, 0.980469f, 0.982910f, + 0.985352f, 0.986816f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, + 0.994629f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000100f, 0.000216f, 0.000243f, 0.000365f, 0.000517f, 0.000836f, 0.000964f, 0.001148f, + 0.001472f, 0.001674f, 0.001785f, 0.002438f, 0.002815f, 0.003490f, 0.004070f, 0.004837f, + 0.005608f, 0.006630f, 0.008095f, 0.009483f, 0.011551f, 0.013847f, 0.016953f, 0.020584f, + 0.025879f, 0.033051f, 0.042664f, 0.055817f, 0.075500f, 0.105103f, 0.149536f, 0.216553f, + 0.312988f, 0.436768f, 0.568359f, 0.685059f, 0.773926f, 0.835449f, 0.878418f, 0.907227f, + 0.927734f, 0.943359f, 0.953125f, 0.962402f, 0.967285f, 0.973145f, 0.977051f, 0.980469f, + 0.983887f, 0.985352f, 0.987305f, 0.989258f, 0.990234f, 0.991699f, 0.992188f, 0.993164f, + 0.994141f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000150f, 0.000242f, 0.000364f, 0.000441f, 0.000627f, 0.000916f, 0.000959f, + 0.000968f, 0.001463f, 0.001671f, 0.002222f, 0.002577f, 0.002714f, 0.003479f, 0.004208f, + 0.004723f, 0.005669f, 0.006886f, 0.007637f, 0.009315f, 0.011154f, 0.013596f, 0.016205f, + 0.019821f, 0.024963f, 0.031250f, 0.040375f, 0.053009f, 0.071167f, 0.098511f, 0.139648f, + 0.202271f, 0.293457f, 0.414307f, 0.548340f, 0.669434f, 0.762695f, 0.829590f, 0.874512f, + 0.904785f, 0.926758f, 0.941895f, 0.953613f, 0.961914f, 0.968262f, 0.973633f, 0.977539f, + 0.980957f, 0.983398f, 0.985352f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, + 0.993164f, 0.994629f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000231f, 0.000232f, 0.000363f, 0.000486f, 0.000503f, 0.000724f, 0.001104f, + 0.001080f, 0.001271f, 0.001509f, 0.001976f, 0.002247f, 0.002476f, 0.002895f, 0.003553f, + 0.004192f, 0.004871f, 0.005623f, 0.006332f, 0.007584f, 0.008957f, 0.010849f, 0.012917f, + 0.015396f, 0.019226f, 0.023941f, 0.030060f, 0.038513f, 0.050385f, 0.067627f, 0.093140f, + 0.131714f, 0.190674f, 0.278076f, 0.395752f, 0.530273f, 0.655762f, 0.753906f, 0.823242f, + 0.870605f, 0.903320f, 0.925781f, 0.941406f, 0.953125f, 0.961914f, 0.969238f, 0.974121f, + 0.978027f, 0.980957f, 0.983887f, 0.985840f, 0.988281f, 0.989258f, 0.990723f, 0.991699f, + 0.992676f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000000f, 0.000009f, 0.000116f, 0.000360f, 0.000484f, 0.000485f, 0.000536f, 0.000827f, + 0.000935f, 0.001077f, 0.001204f, 0.001561f, 0.001974f, 0.002136f, 0.002777f, 0.002964f, + 0.003517f, 0.004192f, 0.004711f, 0.005505f, 0.006283f, 0.007408f, 0.008713f, 0.010674f, + 0.012375f, 0.015099f, 0.018677f, 0.022797f, 0.028732f, 0.036835f, 0.047974f, 0.064270f, + 0.088318f, 0.124634f, 0.180664f, 0.264893f, 0.380615f, 0.516113f, 0.645020f, 0.747559f, + 0.819824f, 0.870117f, 0.902344f, 0.925293f, 0.941406f, 0.953613f, 0.962402f, 0.969238f, + 0.974121f, 0.978027f, 0.981934f, 0.984375f, 0.986328f, 0.988281f, 0.989746f, 0.990723f, + 0.992676f, 0.993164f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.998047f, 0.998047f, + 0.000000f, 0.000000f, 0.000074f, 0.000337f, 0.000481f, 0.000484f, 0.000485f, 0.000556f, + 0.000823f, 0.001143f, 0.001187f, 0.001391f, 0.001781f, 0.002155f, 0.002327f, 0.002760f, + 0.003008f, 0.003433f, 0.004101f, 0.004681f, 0.005417f, 0.006443f, 0.007393f, 0.008560f, + 0.010345f, 0.012177f, 0.014496f, 0.018127f, 0.022125f, 0.027740f, 0.035736f, 0.046173f, + 0.061920f, 0.084717f, 0.119324f, 0.173218f, 0.254883f, 0.368652f, 0.505371f, 0.637207f, + 0.742676f, 0.818359f, 0.868164f, 0.902832f, 0.925781f, 0.942383f, 0.953613f, 0.963379f, + 0.970215f, 0.975098f, 0.979004f, 0.982422f, 0.984863f, 0.986328f, 0.988770f, 0.990723f, + 0.991699f, 0.992676f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000188f, 0.000358f, 0.000481f, 0.000484f, 0.000484f, + 0.000704f, 0.000852f, 0.001165f, 0.001316f, 0.001500f, 0.001685f, 0.001933f, 0.002079f, + 0.002720f, 0.003136f, 0.003727f, 0.003723f, 0.004513f, 0.005207f, 0.006275f, 0.007236f, + 0.008453f, 0.010056f, 0.011848f, 0.014191f, 0.017212f, 0.021652f, 0.026978f, 0.034241f, + 0.044678f, 0.058990f, 0.081421f, 0.114929f, 0.167236f, 0.247070f, 0.360596f, 0.498291f, + 0.632812f, 0.741211f, 0.818359f, 0.869629f, 0.903809f, 0.927734f, 0.943848f, 0.955566f, + 0.964355f, 0.970703f, 0.976074f, 0.979492f, 0.982422f, 0.985840f, 0.987793f, 0.989258f, + 0.990723f, 0.992188f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000121f, 0.000120f, 0.000288f, 0.000357f, 0.000479f, 0.000483f, + 0.000535f, 0.000711f, 0.000862f, 0.001256f, 0.001351f, 0.001502f, 0.001719f, 0.002146f, + 0.002037f, 0.002653f, 0.003248f, 0.003222f, 0.003820f, 0.004456f, 0.005173f, 0.006008f, + 0.007072f, 0.008247f, 0.009758f, 0.011826f, 0.013771f, 0.016861f, 0.020935f, 0.025986f, + 0.032928f, 0.043030f, 0.057587f, 0.078918f, 0.111755f, 0.162964f, 0.241943f, 0.355713f, + 0.495117f, 0.632324f, 0.742676f, 0.819336f, 0.871582f, 0.905762f, 0.929688f, 0.945312f, + 0.957031f, 0.965332f, 0.972168f, 0.976562f, 0.980957f, 0.983887f, 0.986328f, 0.988281f, + 0.990234f, 0.991699f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000200f, 0.000412f, 0.000471f, 0.000599f, + 0.000598f, 0.000596f, 0.000805f, 0.001099f, 0.001334f, 0.001417f, 0.001456f, 0.001723f, + 0.002102f, 0.002283f, 0.002579f, 0.003208f, 0.003233f, 0.003740f, 0.004574f, 0.005287f, + 0.006012f, 0.006870f, 0.008018f, 0.009354f, 0.011208f, 0.013542f, 0.016495f, 0.020370f, + 0.025284f, 0.032410f, 0.041901f, 0.056183f, 0.077087f, 0.109558f, 0.160278f, 0.239380f, + 0.354492f, 0.496094f, 0.635254f, 0.747070f, 0.823730f, 0.875488f, 0.908691f, 0.931641f, + 0.947266f, 0.958008f, 0.966309f, 0.972656f, 0.978027f, 0.981445f, 0.984863f, 0.986816f, + 0.989258f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000237f, 0.000239f, 0.000430f, 0.000465f, + 0.000599f, 0.000724f, 0.000716f, 0.000815f, 0.000981f, 0.001334f, 0.001299f, 0.001545f, + 0.001617f, 0.001935f, 0.002110f, 0.002501f, 0.002823f, 0.003408f, 0.003790f, 0.004467f, + 0.005112f, 0.005848f, 0.006718f, 0.007942f, 0.009514f, 0.011093f, 0.013092f, 0.015945f, + 0.019608f, 0.024689f, 0.031494f, 0.041046f, 0.054901f, 0.075989f, 0.108032f, 0.158936f, + 0.239014f, 0.356201f, 0.500488f, 0.642090f, 0.753418f, 0.830566f, 0.880859f, 0.912598f, + 0.935059f, 0.950195f, 0.960449f, 0.968262f, 0.975098f, 0.979980f, 0.982910f, 0.985352f, + 0.987793f, 0.990234f, 0.996582f, 0.997070f, 0.997070f, 0.996582f, 0.997070f, 0.996582f, + 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000120f, 0.000121f, 0.000312f, 0.000407f, + 0.000707f, 0.000597f, 0.000648f, 0.000720f, 0.000941f, 0.001008f, 0.001229f, 0.001289f, + 0.001423f, 0.001726f, 0.002060f, 0.002211f, 0.002506f, 0.002985f, 0.003036f, 0.003683f, + 0.004066f, 0.004833f, 0.005592f, 0.006611f, 0.007675f, 0.008965f, 0.010811f, 0.012833f, + 0.015854f, 0.019485f, 0.024429f, 0.031036f, 0.040466f, 0.054108f, 0.074890f, 0.107727f, + 0.159180f, 0.241699f, 0.362549f, 0.510742f, 0.653809f, 0.763184f, 0.837891f, 0.887207f, + 0.917480f, 0.938477f, 0.953613f, 0.962891f, 0.970703f, 0.976562f, 0.980469f, 0.984375f, + 0.986816f, 0.988770f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000000f, 0.000000f, 0.000117f, 0.000118f, 0.000120f, 0.000129f, 0.000434f, + 0.000536f, 0.000613f, 0.000716f, 0.000799f, 0.000720f, 0.000768f, 0.001024f, 0.001202f, + 0.001501f, 0.001530f, 0.001568f, 0.001897f, 0.002190f, 0.002502f, 0.002893f, 0.003105f, + 0.003551f, 0.004021f, 0.004791f, 0.005405f, 0.006313f, 0.007309f, 0.008720f, 0.010712f, + 0.012657f, 0.015472f, 0.018982f, 0.023697f, 0.030579f, 0.040009f, 0.054138f, 0.075012f, + 0.107849f, 0.161377f, 0.247070f, 0.373047f, 0.525391f, 0.667969f, 0.776855f, 0.847656f, + 0.894043f, 0.923340f, 0.942871f, 0.956543f, 0.965820f, 0.973145f, 0.978027f, 0.982422f, + 0.985352f, 0.987793f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996582f, 0.996094f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000081f, 0.000116f, 0.000227f, 0.000360f, + 0.000366f, 0.000642f, 0.000691f, 0.000711f, 0.000806f, 0.000721f, 0.000925f, 0.000947f, + 0.001155f, 0.001478f, 0.001554f, 0.001612f, 0.001929f, 0.002354f, 0.002291f, 0.002712f, + 0.003029f, 0.003441f, 0.003876f, 0.004452f, 0.005276f, 0.006256f, 0.007149f, 0.008568f, + 0.010040f, 0.012566f, 0.015160f, 0.018677f, 0.023376f, 0.030411f, 0.039642f, 0.053986f, + 0.075134f, 0.109436f, 0.165527f, 0.255127f, 0.387695f, 0.544434f, 0.686523f, 0.791016f, + 0.858398f, 0.901367f, 0.928711f, 0.947266f, 0.959961f, 0.968262f, 0.975098f, 0.980469f, + 0.983887f, 0.987305f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000088f, 0.000085f, 0.000338f, 0.000351f, + 0.000359f, 0.000480f, 0.000539f, 0.000698f, 0.000798f, 0.000793f, 0.000834f, 0.000891f, + 0.000941f, 0.001143f, 0.001422f, 0.001512f, 0.001833f, 0.001955f, 0.002144f, 0.002426f, + 0.002716f, 0.003262f, 0.003572f, 0.003860f, 0.004456f, 0.005173f, 0.006191f, 0.006939f, + 0.008545f, 0.010162f, 0.012375f, 0.014969f, 0.018555f, 0.023376f, 0.029953f, 0.039673f, + 0.054077f, 0.076477f, 0.112000f, 0.171509f, 0.268066f, 0.408203f, 0.569336f, 0.709961f, + 0.808105f, 0.872070f, 0.910645f, 0.935059f, 0.951660f, 0.963379f, 0.971680f, 0.977539f, + 0.982422f, 0.985840f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000116f, 0.000340f, + 0.000353f, 0.000349f, 0.000480f, 0.000576f, 0.000668f, 0.000700f, 0.000818f, 0.000833f, + 0.000787f, 0.001125f, 0.001110f, 0.001407f, 0.001489f, 0.001563f, 0.001804f, 0.002073f, + 0.002285f, 0.002409f, 0.002985f, 0.003052f, 0.003853f, 0.004433f, 0.005100f, 0.006046f, + 0.007046f, 0.008156f, 0.009827f, 0.012138f, 0.014740f, 0.018311f, 0.023071f, 0.029770f, + 0.040009f, 0.054810f, 0.078003f, 0.116150f, 0.180176f, 0.284668f, 0.434570f, 0.599121f, + 0.735352f, 0.827637f, 0.885254f, 0.919922f, 0.941895f, 0.957031f, 0.967285f, 0.975098f, + 0.979980f, 0.984375f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995605f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000235f, + 0.000320f, 0.000351f, 0.000353f, 0.000478f, 0.000602f, 0.000651f, 0.000793f, 0.000706f, + 0.000816f, 0.000814f, 0.000898f, 0.001062f, 0.001259f, 0.001441f, 0.001564f, 0.001772f, + 0.001743f, 0.002134f, 0.002512f, 0.002668f, 0.003193f, 0.003746f, 0.004341f, 0.004902f, + 0.005909f, 0.006920f, 0.008125f, 0.009605f, 0.011711f, 0.014549f, 0.018280f, 0.023163f, + 0.030334f, 0.040375f, 0.055939f, 0.080566f, 0.122070f, 0.192383f, 0.307373f, 0.467773f, + 0.634277f, 0.763184f, 0.846191f, 0.897461f, 0.928711f, 0.948730f, 0.962402f, 0.971680f, + 0.978516f, 0.982422f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000185f, 0.000190f, + 0.000272f, 0.000281f, 0.000464f, 0.000466f, 0.000476f, 0.000521f, 0.000654f, 0.000680f, + 0.000699f, 0.000815f, 0.000814f, 0.000890f, 0.001110f, 0.001283f, 0.001311f, 0.001590f, + 0.001727f, 0.001801f, 0.002020f, 0.002312f, 0.002897f, 0.003267f, 0.003592f, 0.004143f, + 0.004810f, 0.005844f, 0.006618f, 0.008018f, 0.009697f, 0.011597f, 0.014374f, 0.018127f, + 0.023056f, 0.030258f, 0.041107f, 0.057373f, 0.084045f, 0.129517f, 0.208618f, 0.337646f, + 0.508789f, 0.673828f, 0.793457f, 0.866211f, 0.911133f, 0.938965f, 0.955566f, 0.967285f, + 0.975586f, 0.980469f, 0.994141f, 0.994141f, 0.994629f, 0.994629f, 0.994629f, 0.994141f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000226f, 0.000431f, 0.000456f, 0.000467f, 0.000352f, 0.000496f, 0.000588f, + 0.000891f, 0.000771f, 0.000803f, 0.000947f, 0.000972f, 0.001078f, 0.001033f, 0.001279f, + 0.001436f, 0.001483f, 0.001831f, 0.002033f, 0.002264f, 0.002710f, 0.002996f, 0.003582f, + 0.004032f, 0.004665f, 0.005592f, 0.006527f, 0.007820f, 0.009323f, 0.011581f, 0.014328f, + 0.018219f, 0.023239f, 0.030777f, 0.042084f, 0.059448f, 0.089233f, 0.140869f, 0.230713f, + 0.375977f, 0.556641f, 0.715332f, 0.822266f, 0.885742f, 0.924316f, 0.947266f, 0.962402f, + 0.972656f, 0.978516f, 0.993164f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000283f, 0.000229f, 0.000425f, 0.000303f, 0.000336f, 0.000469f, 0.000474f, + 0.000728f, 0.000663f, 0.000883f, 0.000695f, 0.000679f, 0.000858f, 0.000919f, 0.000980f, + 0.001218f, 0.001330f, 0.001665f, 0.001637f, 0.002054f, 0.002335f, 0.002508f, 0.002880f, + 0.003323f, 0.004055f, 0.004730f, 0.005463f, 0.006485f, 0.007740f, 0.009293f, 0.011566f, + 0.014175f, 0.017944f, 0.023346f, 0.031433f, 0.043304f, 0.063232f, 0.096313f, 0.155518f, + 0.260498f, 0.424561f, 0.611328f, 0.758789f, 0.852051f, 0.904785f, 0.937012f, 0.955566f, + 0.968262f, 0.977051f, 0.992676f, 0.992676f, 0.993164f, 0.993652f, 0.993164f, 0.993652f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000256f, 0.000216f, 0.000406f, 0.000426f, 0.000457f, 0.000453f, + 0.000472f, 0.000651f, 0.000593f, 0.000876f, 0.000571f, 0.000590f, 0.000819f, 0.000809f, + 0.001000f, 0.001224f, 0.001293f, 0.001637f, 0.001790f, 0.001863f, 0.002298f, 0.002550f, + 0.002995f, 0.003201f, 0.003933f, 0.004677f, 0.005360f, 0.006447f, 0.007763f, 0.009377f, + 0.011330f, 0.014420f, 0.017944f, 0.023560f, 0.032196f, 0.045380f, 0.067383f, 0.105469f, + 0.175659f, 0.301025f, 0.484375f, 0.669922f, 0.801270f, 0.879395f, 0.922852f, 0.948242f, + 0.963379f, 0.974121f, 0.992188f, 0.992188f, 0.992188f, 0.993164f, 0.992188f, 0.993164f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000230f, 0.000206f, 0.000355f, 0.000335f, 0.000305f, + 0.000461f, 0.000565f, 0.000474f, 0.000429f, 0.000520f, 0.000758f, 0.000777f, 0.000668f, + 0.000821f, 0.001013f, 0.001089f, 0.001325f, 0.001570f, 0.001787f, 0.001707f, 0.002037f, + 0.002457f, 0.002892f, 0.003359f, 0.003881f, 0.004616f, 0.005203f, 0.006336f, 0.007477f, + 0.009048f, 0.011345f, 0.014015f, 0.018356f, 0.024307f, 0.033661f, 0.048279f, 0.073303f, + 0.118774f, 0.204102f, 0.354492f, 0.554688f, 0.729492f, 0.840332f, 0.902832f, 0.937988f, + 0.958008f, 0.971191f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, 0.992188f, 0.991699f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000205f, 0.000248f, 0.000213f, 0.000344f, + 0.000437f, 0.000351f, 0.000352f, 0.000359f, 0.000389f, 0.000482f, 0.000676f, 0.000560f, + 0.000806f, 0.000813f, 0.000927f, 0.001230f, 0.001392f, 0.001526f, 0.001627f, 0.001629f, + 0.002047f, 0.002321f, 0.002661f, 0.003317f, 0.003752f, 0.004406f, 0.005119f, 0.005936f, + 0.007156f, 0.009003f, 0.010941f, 0.013985f, 0.018539f, 0.025131f, 0.035248f, 0.051880f, + 0.081543f, 0.137207f, 0.244507f, 0.424561f, 0.632812f, 0.787598f, 0.876465f, 0.924805f, + 0.951172f, 0.966797f, 0.990723f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000224f, 0.000171f, 0.000276f, + 0.000278f, 0.000288f, 0.000329f, 0.000365f, 0.000459f, 0.000483f, 0.000626f, 0.000716f, + 0.000767f, 0.000793f, 0.000800f, 0.000897f, 0.000976f, 0.001156f, 0.001322f, 0.001427f, + 0.001799f, 0.001997f, 0.002256f, 0.002773f, 0.002806f, 0.003515f, 0.004040f, 0.004910f, + 0.005730f, 0.007046f, 0.008858f, 0.011124f, 0.014374f, 0.018982f, 0.026123f, 0.037659f, + 0.057129f, 0.093445f, 0.164062f, 0.301514f, 0.511230f, 0.712402f, 0.838867f, 0.906738f, + 0.942383f, 0.961914f, 0.989746f, 0.990234f, 0.989746f, 0.990234f, 0.989746f, 0.990234f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000173f, 0.000140f, + 0.000138f, 0.000232f, 0.000291f, 0.000318f, 0.000338f, 0.000346f, 0.000422f, 0.000368f, + 0.000680f, 0.000722f, 0.000765f, 0.000766f, 0.000803f, 0.001069f, 0.001103f, 0.001185f, + 0.001611f, 0.001593f, 0.001939f, 0.002211f, 0.002569f, 0.003008f, 0.003239f, 0.003952f, + 0.004681f, 0.005630f, 0.007008f, 0.008720f, 0.011200f, 0.014587f, 0.019653f, 0.027527f, + 0.040955f, 0.064514f, 0.110413f, 0.204224f, 0.381104f, 0.609863f, 0.785645f, 0.881836f, + 0.931152f, 0.956543f, 0.988770f, 0.989258f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000123f, 0.000121f, 0.000090f, + 0.000102f, 0.000063f, 0.000156f, 0.000248f, 0.000333f, 0.000321f, 0.000431f, 0.000392f, + 0.000349f, 0.000434f, 0.000674f, 0.000741f, 0.000776f, 0.000936f, 0.000888f, 0.001049f, + 0.001179f, 0.001326f, 0.001686f, 0.001732f, 0.002050f, 0.002150f, 0.002453f, 0.003016f, + 0.003601f, 0.004444f, 0.005692f, 0.006741f, 0.008324f, 0.011093f, 0.014709f, 0.020752f, + 0.029800f, 0.045654f, 0.074951f, 0.136108f, 0.264893f, 0.486816f, 0.710938f, 0.848145f, + 0.916992f, 0.950684f, 0.987305f, 0.987793f, 0.987793f, 0.988281f, 0.987793f, 0.987793f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000100f, + 0.000049f, 0.000039f, 0.000125f, 0.000121f, 0.000184f, 0.000280f, 0.000366f, 0.000392f, + 0.000333f, 0.000341f, 0.000477f, 0.000597f, 0.000607f, 0.000747f, 0.000767f, 0.000961f, + 0.000936f, 0.001056f, 0.001306f, 0.001388f, 0.001633f, 0.001836f, 0.001997f, 0.002348f, + 0.002878f, 0.003332f, 0.004131f, 0.005165f, 0.006519f, 0.008568f, 0.011444f, 0.015419f, + 0.021881f, 0.032532f, 0.052032f, 0.091187f, 0.177246f, 0.357910f, 0.610352f, 0.800781f, + 0.897461f, 0.942871f, 0.985352f, 0.986328f, 0.986816f, 0.986328f, 0.986328f, 0.986328f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000099f, 0.000076f, + 0.000060f, 0.000108f, 0.000040f, 0.000127f, 0.000127f, 0.000121f, 0.000200f, 0.000265f, + 0.000360f, 0.000316f, 0.000428f, 0.000455f, 0.000456f, 0.000583f, 0.000682f, 0.000750f, + 0.000773f, 0.000824f, 0.000937f, 0.001220f, 0.001262f, 0.001384f, 0.001622f, 0.001862f, + 0.002157f, 0.002817f, 0.003414f, 0.004082f, 0.004993f, 0.006561f, 0.008560f, 0.011696f, + 0.016022f, 0.023529f, 0.036469f, 0.062286f, 0.117126f, 0.245605f, 0.487549f, 0.732910f, + 0.870605f, 0.933105f, 0.983887f, 0.984863f, 0.984863f, 0.984863f, 0.984375f, 0.984863f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000096f, + 0.000075f, 0.000061f, 0.000083f, 0.000096f, 0.000034f, 0.000101f, 0.000121f, 0.000137f, + 0.000211f, 0.000324f, 0.000381f, 0.000373f, 0.000420f, 0.000472f, 0.000494f, 0.000690f, + 0.000793f, 0.000768f, 0.000853f, 0.000867f, 0.000978f, 0.001003f, 0.001145f, 0.001416f, + 0.001888f, 0.002125f, 0.002491f, 0.003004f, 0.003864f, 0.005028f, 0.006500f, 0.008682f, + 0.011856f, 0.016922f, 0.025757f, 0.042603f, 0.078247f, 0.161743f, 0.358398f, 0.641602f, + 0.833496f, 0.920410f, 0.981934f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, + 0.000122f, 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, + 0.000097f, 0.000078f, 0.000062f, 0.000051f, 0.000043f, 0.000072f, 0.000030f, 0.000060f, + 0.000109f, 0.000206f, 0.000216f, 0.000333f, 0.000347f, 0.000395f, 0.000415f, 0.000458f, + 0.000568f, 0.000664f, 0.000709f, 0.000598f, 0.000781f, 0.000628f, 0.001053f, 0.001046f, + 0.001179f, 0.001579f, 0.001649f, 0.002386f, 0.002857f, 0.003727f, 0.004894f, 0.006363f, + 0.008789f, 0.012314f, 0.018616f, 0.029709f, 0.052429f, 0.105652f, 0.244385f, 0.524414f, + 0.782715f, 0.904785f, 0.979492f, 0.980957f, 0.979980f, 0.979980f, 0.980469f, 0.980469f, + 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000097f, 0.000079f, 0.000065f, 0.000054f, 0.000045f, 0.000073f, 0.000032f, + 0.000089f, 0.000038f, 0.000134f, 0.000138f, 0.000211f, 0.000333f, 0.000370f, 0.000400f, + 0.000420f, 0.000496f, 0.000566f, 0.000494f, 0.000584f, 0.000714f, 0.000708f, 0.000843f, + 0.001056f, 0.001019f, 0.001327f, 0.001812f, 0.001908f, 0.002798f, 0.003479f, 0.004578f, + 0.006195f, 0.008881f, 0.012901f, 0.020599f, 0.035339f, 0.069214f, 0.159058f, 0.394531f, + 0.709961f, 0.882812f, 0.977051f, 0.978027f, 0.977539f, 0.976562f, 0.977051f, 0.977539f, + 0.000000f, 0.000121f, 0.000120f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, + 0.000119f, 0.000120f, 0.000102f, 0.000084f, 0.000071f, 0.000059f, 0.000048f, 0.000041f, + 0.000035f, 0.000062f, 0.000026f, 0.000098f, 0.000103f, 0.000136f, 0.000230f, 0.000327f, + 0.000356f, 0.000338f, 0.000387f, 0.000499f, 0.000577f, 0.000627f, 0.000669f, 0.000611f, + 0.000699f, 0.000904f, 0.000893f, 0.001340f, 0.001666f, 0.002068f, 0.002377f, 0.003105f, + 0.004345f, 0.006218f, 0.009178f, 0.013962f, 0.024170f, 0.045441f, 0.101868f, 0.271973f, + 0.612305f, 0.853027f, 0.973145f, 0.974121f, 0.973633f, 0.974121f, 0.973633f, 0.974121f, + 0.000121f, 0.000120f, 0.000119f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, + 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000119f, + 0.000119f, 0.000119f, 0.000119f, 0.000108f, 0.000091f, 0.000075f, 0.000063f, 0.000053f, + 0.000045f, 0.000039f, 0.000034f, 0.000040f, 0.000090f, 0.000068f, 0.000104f, 0.000127f, + 0.000220f, 0.000302f, 0.000412f, 0.000316f, 0.000444f, 0.000495f, 0.000428f, 0.000510f, + 0.000463f, 0.000614f, 0.000726f, 0.000719f, 0.001164f, 0.001533f, 0.001707f, 0.002079f, + 0.002848f, 0.004189f, 0.006142f, 0.009491f, 0.016113f, 0.029343f, 0.064758f, 0.175415f, + 0.490723f, 0.812012f, 0.968750f, 0.969727f, 0.969238f, 0.969727f, 0.969727f, 0.969727f, + 0.000000f, 0.000117f, 0.000117f, 0.000115f, 0.000118f, 0.000118f, 0.000117f, 0.000117f, + 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000117f, + 0.000117f, 0.000117f, 0.000117f, 0.000118f, 0.000117f, 0.000100f, 0.000082f, 0.000070f, + 0.000060f, 0.000051f, 0.000043f, 0.000038f, 0.000033f, 0.000053f, 0.000027f, 0.000089f, + 0.000105f, 0.000137f, 0.000227f, 0.000277f, 0.000293f, 0.000284f, 0.000300f, 0.000420f, + 0.000367f, 0.000473f, 0.000467f, 0.000555f, 0.000625f, 0.000870f, 0.001177f, 0.001563f, + 0.001982f, 0.002714f, 0.004051f, 0.006134f, 0.010384f, 0.018967f, 0.040314f, 0.108887f, + 0.358643f, 0.755859f, 0.962891f, 0.963867f, 0.964355f, 0.963867f, 0.963379f, 0.963379f, + 0.000000f, 0.000000f, 0.000098f, 0.000103f, 0.000111f, 0.000112f, 0.000112f, 0.000114f, + 0.000113f, 0.000115f, 0.000114f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, + 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000116f, 0.000109f, 0.000094f, + 0.000078f, 0.000067f, 0.000058f, 0.000050f, 0.000043f, 0.000038f, 0.000033f, 0.000054f, + 0.000025f, 0.000078f, 0.000091f, 0.000173f, 0.000203f, 0.000252f, 0.000331f, 0.000277f, + 0.000264f, 0.000407f, 0.000342f, 0.000444f, 0.000470f, 0.000542f, 0.000773f, 0.001081f, + 0.001245f, 0.001682f, 0.002602f, 0.003744f, 0.006248f, 0.011566f, 0.025040f, 0.065491f, + 0.236938f, 0.678223f, 0.956055f, 0.956543f, 0.956543f, 0.956543f, 0.957031f, 0.957031f, + 0.000000f, 0.000000f, 0.000021f, 0.000080f, 0.000072f, 0.000089f, 0.000100f, 0.000099f, + 0.000105f, 0.000107f, 0.000107f, 0.000110f, 0.000109f, 0.000110f, 0.000111f, 0.000111f, + 0.000112f, 0.000112f, 0.000112f, 0.000113f, 0.000113f, 0.000113f, 0.000113f, 0.000113f, + 0.000105f, 0.000090f, 0.000078f, 0.000067f, 0.000057f, 0.000050f, 0.000043f, 0.000038f, + 0.000033f, 0.000029f, 0.000025f, 0.000055f, 0.000091f, 0.000130f, 0.000225f, 0.000275f, + 0.000254f, 0.000290f, 0.000259f, 0.000378f, 0.000333f, 0.000362f, 0.000458f, 0.000587f, + 0.000876f, 0.001062f, 0.001382f, 0.002398f, 0.003763f, 0.006603f, 0.014496f, 0.038300f, + 0.143677f, 0.573730f, 0.946777f, 0.947266f, 0.947266f, 0.947266f, 0.948242f, 0.947266f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000014f, 0.000036f, 0.000072f, + 0.000082f, 0.000080f, 0.000094f, 0.000096f, 0.000099f, 0.000098f, 0.000103f, 0.000103f, + 0.000103f, 0.000106f, 0.000105f, 0.000107f, 0.000107f, 0.000108f, 0.000108f, 0.000109f, + 0.000109f, 0.000109f, 0.000105f, 0.000090f, 0.000078f, 0.000067f, 0.000059f, 0.000051f, + 0.000045f, 0.000039f, 0.000034f, 0.000030f, 0.000026f, 0.000045f, 0.000086f, 0.000108f, + 0.000143f, 0.000212f, 0.000227f, 0.000204f, 0.000231f, 0.000263f, 0.000315f, 0.000354f, + 0.000481f, 0.000702f, 0.000888f, 0.001257f, 0.002018f, 0.003738f, 0.007675f, 0.021317f, + 0.080933f, 0.444336f, 0.934082f, 0.935059f, 0.935059f, 0.935059f, 0.935059f, 0.935059f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000024f, 0.000038f, 0.000059f, 0.000063f, 0.000076f, 0.000080f, 0.000085f, + 0.000089f, 0.000091f, 0.000092f, 0.000095f, 0.000097f, 0.000099f, 0.000098f, 0.000101f, + 0.000101f, 0.000102f, 0.000103f, 0.000104f, 0.000104f, 0.000091f, 0.000080f, 0.000069f, + 0.000062f, 0.000053f, 0.000046f, 0.000041f, 0.000035f, 0.000032f, 0.000027f, 0.000039f, + 0.000052f, 0.000103f, 0.000139f, 0.000178f, 0.000190f, 0.000178f, 0.000185f, 0.000247f, + 0.000274f, 0.000368f, 0.000528f, 0.000637f, 0.001027f, 0.001937f, 0.003853f, 0.010445f, + 0.041718f, 0.304199f, 0.917480f, 0.917480f, 0.917969f, 0.917480f, 0.918457f, 0.917969f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000023f, 0.000037f, + 0.000048f, 0.000048f, 0.000063f, 0.000063f, 0.000074f, 0.000077f, 0.000080f, 0.000083f, + 0.000086f, 0.000088f, 0.000090f, 0.000091f, 0.000092f, 0.000094f, 0.000095f, 0.000096f, + 0.000084f, 0.000073f, 0.000064f, 0.000057f, 0.000049f, 0.000043f, 0.000037f, 0.000033f, + 0.000029f, 0.000025f, 0.000060f, 0.000061f, 0.000087f, 0.000118f, 0.000156f, 0.000131f, + 0.000175f, 0.000226f, 0.000230f, 0.000373f, 0.000507f, 0.000992f, 0.001814f, 0.004639f, + 0.018799f, 0.176758f, 0.894043f, 0.894531f, 0.895508f, 0.895020f, 0.895020f, 0.895996f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000019f, 0.000028f, 0.000034f, 0.000043f, + 0.000052f, 0.000057f, 0.000062f, 0.000067f, 0.000070f, 0.000074f, 0.000075f, 0.000079f, + 0.000081f, 0.000083f, 0.000085f, 0.000076f, 0.000068f, 0.000059f, 0.000051f, 0.000046f, + 0.000040f, 0.000035f, 0.000030f, 0.000026f, 0.000028f, 0.000038f, 0.000072f, 0.000100f, + 0.000120f, 0.000107f, 0.000152f, 0.000156f, 0.000254f, 0.000436f, 0.000722f, 0.001875f, + 0.007088f, 0.083069f, 0.863281f, 0.862305f, 0.863281f, 0.862305f, 0.863281f, 0.862793f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000005f, 0.000015f, 0.000022f, 0.000030f, 0.000037f, 0.000042f, + 0.000048f, 0.000053f, 0.000058f, 0.000060f, 0.000064f, 0.000067f, 0.000069f, 0.000061f, + 0.000053f, 0.000047f, 0.000041f, 0.000036f, 0.000031f, 0.000027f, 0.000023f, 0.000020f, + 0.000036f, 0.000063f, 0.000082f, 0.000081f, 0.000104f, 0.000149f, 0.000263f, 0.000616f, + 0.002337f, 0.028168f, 0.816406f, 0.816895f, 0.816895f, 0.816895f, 0.817383f, 0.816895f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000003f, 0.000011f, 0.000019f, 0.000026f, 0.000031f, 0.000036f, + 0.000041f, 0.000045f, 0.000050f, 0.000047f, 0.000041f, 0.000036f, 0.000031f, 0.000027f, + 0.000023f, 0.000019f, 0.000028f, 0.000029f, 0.000053f, 0.000052f, 0.000072f, 0.000165f, + 0.000511f, 0.006050f, 0.751465f, 0.752441f, 0.752930f, 0.752441f, 0.752441f, 0.752930f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000011f, 0.000017f, 0.000021f, 0.000027f, + 0.000028f, 0.000024f, 0.000020f, 0.000017f, 0.000013f, 0.000020f, 0.000021f, 0.000029f, + 0.000057f, 0.000588f, 0.665039f, 0.664551f, 0.665527f, 0.665039f, 0.665039f, 0.665039f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000009f, 0.000006f, + 0.000004f, 0.000007f, 0.557129f, 0.558105f, 0.557617f, 0.557617f, 0.558594f, 0.558105f, + }, + { + 0.163818f, 0.558105f, 0.755859f, 0.841797f, 0.886230f, 0.912109f, 0.929199f, 0.941406f, + 0.950195f, 0.957031f, 0.961914f, 0.966309f, 0.970215f, 0.972656f, 0.975586f, 0.978027f, + 0.979492f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987305f, 0.988770f, + 0.989258f, 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, + 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.998047f, 0.998047f, + 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999512f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.027023f, 0.138184f, 0.353760f, 0.583984f, 0.735352f, 0.819336f, 0.868652f, 0.898926f, + 0.918945f, 0.933594f, 0.943848f, 0.952148f, 0.958984f, 0.963867f, 0.967773f, 0.971680f, + 0.974121f, 0.976562f, 0.978516f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986328f, + 0.986816f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.990723f, 0.991699f, 0.992676f, + 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.009819f, 0.044250f, 0.113525f, 0.244995f, 0.430420f, 0.608887f, 0.733887f, 0.810547f, + 0.860352f, 0.892578f, 0.913086f, 0.929688f, 0.940918f, 0.949219f, 0.956055f, 0.961426f, + 0.966309f, 0.970215f, 0.972656f, 0.975586f, 0.977539f, 0.979980f, 0.980957f, 0.983398f, + 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.988281f, 0.989746f, 0.989746f, 0.991211f, + 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, + 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, + 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.004848f, 0.020447f, 0.046814f, 0.096313f, 0.183228f, 0.319092f, 0.484375f, 0.631836f, + 0.739258f, 0.810547f, 0.857422f, 0.888672f, 0.910645f, 0.925781f, 0.938965f, 0.947754f, + 0.954590f, 0.960449f, 0.964355f, 0.968750f, 0.971191f, 0.974609f, 0.977051f, 0.979004f, + 0.980957f, 0.982422f, 0.983887f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, + 0.990234f, 0.990723f, 0.991211f, 0.991699f, 0.992676f, 0.992676f, 0.993652f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.003096f, 0.011017f, 0.024399f, 0.046600f, 0.083191f, 0.145386f, 0.243774f, 0.379395f, + 0.529297f, 0.656738f, 0.750977f, 0.813965f, 0.857910f, 0.887695f, 0.909668f, 0.925293f, + 0.937500f, 0.946289f, 0.953613f, 0.959473f, 0.964355f, 0.968262f, 0.971191f, 0.974121f, + 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987793f, + 0.988281f, 0.989258f, 0.989746f, 0.991211f, 0.991699f, 0.991699f, 0.992676f, 0.993164f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, + 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.001808f, 0.006992f, 0.014923f, 0.026413f, 0.044403f, 0.073120f, 0.119446f, 0.193115f, + 0.300537f, 0.433594f, 0.568848f, 0.680664f, 0.763184f, 0.821289f, 0.860840f, 0.890137f, + 0.909668f, 0.925293f, 0.937500f, 0.945801f, 0.953613f, 0.959473f, 0.963867f, 0.968262f, + 0.971680f, 0.974609f, 0.977051f, 0.979004f, 0.980957f, 0.982422f, 0.983887f, 0.984863f, + 0.986816f, 0.987305f, 0.987793f, 0.989746f, 0.989746f, 0.991211f, 0.991699f, 0.992188f, + 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, 0.996094f, 0.996094f, + 0.996094f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.001668f, 0.005253f, 0.010010f, 0.016602f, 0.026459f, 0.042023f, 0.065369f, 0.101868f, + 0.158081f, 0.241455f, 0.354248f, 0.483887f, 0.606934f, 0.706055f, 0.777832f, 0.830566f, + 0.867188f, 0.893066f, 0.912109f, 0.926270f, 0.938477f, 0.946289f, 0.953125f, 0.959473f, + 0.964355f, 0.968750f, 0.971680f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, + 0.984375f, 0.985840f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990234f, 0.991211f, + 0.992188f, 0.993164f, 0.993164f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, + 0.998047f, 0.998535f, 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, + 0.001086f, 0.003477f, 0.006756f, 0.011604f, 0.018066f, 0.027222f, 0.039978f, 0.059448f, + 0.088257f, 0.132690f, 0.198120f, 0.291504f, 0.408447f, 0.531250f, 0.641602f, 0.728516f, + 0.793457f, 0.839844f, 0.873047f, 0.896973f, 0.915527f, 0.929199f, 0.939941f, 0.948730f, + 0.955566f, 0.960938f, 0.965332f, 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979492f, + 0.981445f, 0.983398f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.989746f, + 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.994629f, + 0.995605f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, 0.997559f, + 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000982f, 0.002764f, 0.004925f, 0.008194f, 0.012703f, 0.018417f, 0.026154f, 0.037964f, + 0.053894f, 0.078552f, 0.113770f, 0.166626f, 0.242310f, 0.343262f, 0.460449f, 0.576660f, + 0.675293f, 0.753418f, 0.809570f, 0.851074f, 0.879883f, 0.902344f, 0.919434f, 0.931152f, + 0.941895f, 0.950195f, 0.956055f, 0.960938f, 0.965820f, 0.969727f, 0.973145f, 0.976074f, + 0.978027f, 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.988770f, + 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000723f, 0.002268f, 0.003639f, 0.006371f, 0.009392f, 0.013046f, 0.018570f, 0.026016f, + 0.035919f, 0.049957f, 0.070618f, 0.099609f, 0.142212f, 0.204590f, 0.290039f, 0.396973f, + 0.512207f, 0.619141f, 0.707520f, 0.775391f, 0.825195f, 0.860352f, 0.887207f, 0.907715f, + 0.923340f, 0.935547f, 0.944824f, 0.951660f, 0.958496f, 0.963379f, 0.967773f, 0.971191f, + 0.974121f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, 0.984375f, 0.985352f, 0.987305f, + 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993164f, + 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000364f, 0.001690f, 0.003056f, 0.004982f, 0.007217f, 0.010124f, 0.013931f, 0.018738f, + 0.025177f, 0.034332f, 0.045990f, 0.063599f, 0.088501f, 0.124146f, 0.175781f, 0.248047f, + 0.341797f, 0.451416f, 0.562012f, 0.659668f, 0.738281f, 0.797852f, 0.841797f, 0.872559f, + 0.896484f, 0.914062f, 0.928711f, 0.938477f, 0.947266f, 0.954590f, 0.959473f, 0.964844f, + 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979980f, 0.981934f, 0.983398f, 0.985352f, + 0.986816f, 0.987793f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, + 0.997070f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000365f, 0.001221f, 0.002531f, 0.003979f, 0.005829f, 0.007874f, 0.010475f, 0.013962f, + 0.018402f, 0.024368f, 0.032257f, 0.042847f, 0.057983f, 0.079346f, 0.109375f, 0.153198f, + 0.214233f, 0.295898f, 0.397705f, 0.506836f, 0.609863f, 0.698730f, 0.767578f, 0.817871f, + 0.854980f, 0.883301f, 0.903809f, 0.920410f, 0.933105f, 0.942871f, 0.950195f, 0.957031f, + 0.962402f, 0.966797f, 0.970703f, 0.973633f, 0.976562f, 0.979004f, 0.981445f, 0.982910f, + 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.989746f, 0.989746f, 0.991211f, 0.992188f, + 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000343f, 0.001357f, 0.002039f, 0.003130f, 0.004398f, 0.006432f, 0.008141f, 0.010925f, + 0.014008f, 0.018326f, 0.023331f, 0.030655f, 0.040558f, 0.053680f, 0.071960f, 0.098206f, + 0.134644f, 0.187012f, 0.258057f, 0.349854f, 0.455566f, 0.562012f, 0.656738f, 0.734863f, + 0.792969f, 0.836914f, 0.868652f, 0.894043f, 0.912598f, 0.926758f, 0.937988f, 0.947266f, + 0.954590f, 0.960449f, 0.964355f, 0.968750f, 0.972656f, 0.975586f, 0.978027f, 0.980469f, + 0.981934f, 0.983398f, 0.985840f, 0.986816f, 0.988281f, 0.989258f, 0.990723f, 0.990723f, + 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000244f, 0.001185f, 0.001561f, 0.002504f, 0.003990f, 0.005272f, 0.006573f, 0.008606f, + 0.010933f, 0.013878f, 0.017715f, 0.022415f, 0.029068f, 0.038086f, 0.049774f, 0.066162f, + 0.088257f, 0.120361f, 0.164917f, 0.227173f, 0.308838f, 0.407959f, 0.515137f, 0.615723f, + 0.700684f, 0.767090f, 0.817383f, 0.854492f, 0.882812f, 0.904297f, 0.920898f, 0.932617f, + 0.943359f, 0.951172f, 0.957520f, 0.962891f, 0.967773f, 0.971191f, 0.974121f, 0.977539f, + 0.979492f, 0.981445f, 0.983887f, 0.985352f, 0.986816f, 0.988281f, 0.988770f, 0.989258f, + 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, + 0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000243f, 0.000847f, 0.001555f, 0.002224f, 0.003141f, 0.004093f, 0.005264f, 0.006817f, + 0.008850f, 0.010948f, 0.014053f, 0.017456f, 0.022339f, 0.028351f, 0.036011f, 0.046326f, + 0.060791f, 0.080444f, 0.107788f, 0.146851f, 0.201660f, 0.274658f, 0.366699f, 0.470215f, + 0.574707f, 0.666016f, 0.740234f, 0.797363f, 0.839355f, 0.871094f, 0.895508f, 0.913574f, + 0.927734f, 0.938965f, 0.947754f, 0.955566f, 0.960449f, 0.965332f, 0.969727f, 0.973145f, + 0.976074f, 0.979004f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.987305f, 0.988770f, + 0.989258f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, + 0.995117f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000244f, 0.000767f, 0.001042f, 0.001934f, 0.002502f, 0.003588f, 0.004292f, 0.005558f, + 0.006824f, 0.008667f, 0.010872f, 0.013802f, 0.017426f, 0.021637f, 0.027176f, 0.033936f, + 0.043304f, 0.056549f, 0.073914f, 0.098083f, 0.132446f, 0.180664f, 0.245239f, 0.330078f, + 0.429199f, 0.533203f, 0.631348f, 0.711914f, 0.775879f, 0.823242f, 0.860352f, 0.886230f, + 0.907227f, 0.923340f, 0.935059f, 0.944824f, 0.952148f, 0.958984f, 0.964844f, 0.968750f, + 0.972168f, 0.975586f, 0.978516f, 0.980957f, 0.982422f, 0.983887f, 0.985840f, 0.987305f, + 0.988770f, 0.989746f, 0.990234f, 0.992188f, 0.992676f, 0.992676f, 0.994141f, 0.994141f, + 0.995117f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000000f, 0.000485f, 0.001062f, 0.001658f, 0.002398f, 0.002998f, 0.003805f, 0.004723f, + 0.006004f, 0.007084f, 0.009102f, 0.011093f, 0.013489f, 0.016876f, 0.020813f, 0.025803f, + 0.032257f, 0.040924f, 0.052673f, 0.068298f, 0.090149f, 0.120239f, 0.162598f, 0.221313f, + 0.298096f, 0.392822f, 0.496582f, 0.597656f, 0.684082f, 0.754883f, 0.807617f, 0.848145f, + 0.877930f, 0.900391f, 0.917969f, 0.931641f, 0.941406f, 0.950684f, 0.957031f, 0.962402f, + 0.967773f, 0.971680f, 0.974609f, 0.978027f, 0.980469f, 0.982422f, 0.984375f, 0.985840f, + 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, + 0.994141f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000244f, 0.000477f, 0.000852f, 0.001439f, 0.002045f, 0.002424f, 0.003101f, 0.004093f, + 0.004887f, 0.005989f, 0.007751f, 0.008606f, 0.011002f, 0.013420f, 0.016251f, 0.020035f, + 0.024628f, 0.030579f, 0.039093f, 0.049255f, 0.063599f, 0.083191f, 0.109924f, 0.148071f, + 0.200928f, 0.270996f, 0.359863f, 0.461670f, 0.564453f, 0.656738f, 0.732910f, 0.791992f, + 0.836426f, 0.869629f, 0.894531f, 0.913086f, 0.928223f, 0.939453f, 0.949219f, 0.956055f, + 0.961914f, 0.966797f, 0.970703f, 0.975098f, 0.977051f, 0.979492f, 0.982422f, 0.983887f, + 0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, + 0.993652f, 0.994629f, 0.998047f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.998535f, + 0.000242f, 0.000650f, 0.000847f, 0.001138f, 0.001621f, 0.002239f, 0.002527f, 0.003325f, + 0.004227f, 0.005165f, 0.006462f, 0.007389f, 0.008904f, 0.011024f, 0.013130f, 0.015915f, + 0.019272f, 0.023819f, 0.029205f, 0.036652f, 0.046417f, 0.059418f, 0.077209f, 0.101562f, + 0.136230f, 0.183350f, 0.248047f, 0.331055f, 0.429688f, 0.533203f, 0.630859f, 0.711426f, + 0.776367f, 0.824219f, 0.861328f, 0.887695f, 0.908691f, 0.924805f, 0.937500f, 0.946777f, + 0.954102f, 0.960938f, 0.966309f, 0.970215f, 0.974121f, 0.977539f, 0.979492f, 0.981934f, + 0.983887f, 0.985840f, 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992676f, + 0.993164f, 0.994141f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000089f, 0.000243f, 0.000827f, 0.000964f, 0.001418f, 0.001579f, 0.002296f, 0.002914f, + 0.003632f, 0.004280f, 0.005344f, 0.006130f, 0.007545f, 0.008949f, 0.010498f, 0.012733f, + 0.015686f, 0.018646f, 0.023010f, 0.028229f, 0.034851f, 0.044098f, 0.056122f, 0.072388f, + 0.094788f, 0.125610f, 0.168945f, 0.228271f, 0.306396f, 0.401123f, 0.504883f, 0.604492f, + 0.691895f, 0.760742f, 0.813477f, 0.853027f, 0.881836f, 0.904297f, 0.921387f, 0.934570f, + 0.944824f, 0.953125f, 0.959961f, 0.964844f, 0.969727f, 0.973633f, 0.976562f, 0.979492f, + 0.981934f, 0.983887f, 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.991211f, 0.992188f, + 0.992676f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000069f, 0.000461f, 0.000609f, 0.000933f, 0.001088f, 0.001488f, 0.001900f, 0.002378f, + 0.003101f, 0.003687f, 0.004547f, 0.005276f, 0.006233f, 0.007282f, 0.008820f, 0.010239f, + 0.012581f, 0.015312f, 0.018341f, 0.022095f, 0.027344f, 0.034027f, 0.041687f, 0.053467f, + 0.067810f, 0.088440f, 0.117126f, 0.156616f, 0.211426f, 0.284180f, 0.375977f, 0.478760f, + 0.581543f, 0.672363f, 0.746094f, 0.802734f, 0.845703f, 0.877441f, 0.900879f, 0.918457f, + 0.933105f, 0.943848f, 0.951660f, 0.959473f, 0.964355f, 0.968750f, 0.974121f, 0.977051f, + 0.979492f, 0.982422f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.990234f, 0.991211f, + 0.992188f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000244f, 0.000348f, 0.000606f, 0.000737f, 0.001079f, 0.001458f, 0.001783f, 0.002192f, + 0.002924f, 0.003231f, 0.003862f, 0.004551f, 0.005169f, 0.006367f, 0.007381f, 0.008682f, + 0.010590f, 0.012199f, 0.014900f, 0.017761f, 0.021530f, 0.026108f, 0.032349f, 0.039642f, + 0.050446f, 0.064392f, 0.083313f, 0.109436f, 0.145996f, 0.197021f, 0.266357f, 0.354248f, + 0.455811f, 0.560059f, 0.654785f, 0.732910f, 0.793457f, 0.837891f, 0.873047f, 0.897461f, + 0.917480f, 0.931641f, 0.941895f, 0.951172f, 0.958984f, 0.964844f, 0.969727f, 0.973633f, + 0.977051f, 0.979980f, 0.981934f, 0.984375f, 0.985840f, 0.988281f, 0.989258f, 0.990234f, + 0.991211f, 0.992676f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000244f, 0.000520f, 0.000592f, 0.000720f, 0.000812f, 0.001174f, 0.001500f, 0.001884f, + 0.002178f, 0.002831f, 0.003321f, 0.003885f, 0.004471f, 0.005436f, 0.006275f, 0.007584f, + 0.008675f, 0.010521f, 0.012238f, 0.014557f, 0.017197f, 0.020874f, 0.025467f, 0.030960f, + 0.038208f, 0.047821f, 0.061249f, 0.078552f, 0.103149f, 0.136841f, 0.184937f, 0.249878f, + 0.334473f, 0.435059f, 0.539551f, 0.638184f, 0.720215f, 0.784668f, 0.832031f, 0.868164f, + 0.894531f, 0.914062f, 0.929688f, 0.942383f, 0.950684f, 0.958984f, 0.964844f, 0.970215f, + 0.974121f, 0.977539f, 0.979980f, 0.982422f, 0.984863f, 0.985840f, 0.988281f, 0.989258f, + 0.990723f, 0.992188f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, + 0.000000f, 0.000243f, 0.000351f, 0.000603f, 0.000708f, 0.001079f, 0.001493f, 0.001752f, + 0.001936f, 0.002171f, 0.002911f, 0.003382f, 0.003906f, 0.004578f, 0.005222f, 0.006161f, + 0.007362f, 0.008850f, 0.010010f, 0.011971f, 0.014145f, 0.016983f, 0.020477f, 0.024582f, + 0.029739f, 0.036804f, 0.045837f, 0.057648f, 0.074829f, 0.097534f, 0.130127f, 0.174438f, + 0.236572f, 0.318604f, 0.416992f, 0.523926f, 0.624023f, 0.709961f, 0.777344f, 0.827148f, + 0.865234f, 0.893066f, 0.914062f, 0.929688f, 0.941406f, 0.951660f, 0.958496f, 0.965820f, + 0.969238f, 0.974609f, 0.977539f, 0.980469f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, + 0.989746f, 0.990723f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000243f, 0.000244f, 0.000456f, 0.000592f, 0.000602f, 0.001025f, 0.001282f, 0.001656f, + 0.001856f, 0.002073f, 0.002535f, 0.002768f, 0.003487f, 0.003822f, 0.004574f, 0.005589f, + 0.006519f, 0.007336f, 0.008453f, 0.009911f, 0.011581f, 0.013985f, 0.016373f, 0.019638f, + 0.023819f, 0.028473f, 0.035339f, 0.043945f, 0.055939f, 0.071350f, 0.093140f, 0.123474f, + 0.165771f, 0.225342f, 0.304199f, 0.402344f, 0.509277f, 0.612305f, 0.702148f, 0.771973f, + 0.824219f, 0.863281f, 0.891113f, 0.913086f, 0.930176f, 0.942383f, 0.951660f, 0.959473f, + 0.965820f, 0.970215f, 0.974609f, 0.977539f, 0.980957f, 0.983887f, 0.985352f, 0.987305f, + 0.988770f, 0.990723f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000000f, 0.000243f, 0.000276f, 0.000557f, 0.000594f, 0.000849f, 0.000845f, 0.001282f, + 0.001520f, 0.001774f, 0.002119f, 0.002499f, 0.002840f, 0.003252f, 0.004005f, 0.004555f, + 0.005245f, 0.006168f, 0.007233f, 0.008301f, 0.009911f, 0.011330f, 0.013748f, 0.015945f, + 0.019089f, 0.023071f, 0.027786f, 0.034058f, 0.042542f, 0.053619f, 0.068237f, 0.089539f, + 0.117798f, 0.158325f, 0.215698f, 0.293213f, 0.389893f, 0.498291f, 0.603027f, 0.694824f, + 0.767090f, 0.821777f, 0.862305f, 0.891113f, 0.914062f, 0.930176f, 0.942383f, 0.952148f, + 0.959473f, 0.965820f, 0.971680f, 0.975098f, 0.978516f, 0.981445f, 0.983887f, 0.985840f, + 0.988281f, 0.989258f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996094f, 0.996582f, + 0.000240f, 0.000240f, 0.000242f, 0.000365f, 0.000678f, 0.000779f, 0.000957f, 0.001003f, + 0.001390f, 0.001656f, 0.001828f, 0.002274f, 0.002455f, 0.003210f, 0.003704f, 0.004097f, + 0.004616f, 0.005409f, 0.006180f, 0.007092f, 0.008453f, 0.009521f, 0.011154f, 0.013397f, + 0.015656f, 0.018509f, 0.022247f, 0.026810f, 0.032928f, 0.041046f, 0.051727f, 0.065613f, + 0.085205f, 0.113098f, 0.152832f, 0.208496f, 0.284424f, 0.380371f, 0.489258f, 0.596680f, + 0.690918f, 0.764648f, 0.821777f, 0.862305f, 0.892578f, 0.914551f, 0.931152f, 0.943848f, + 0.953613f, 0.960938f, 0.967773f, 0.971680f, 0.976074f, 0.979492f, 0.982422f, 0.984863f, + 0.986816f, 0.988281f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, + 0.000000f, 0.000242f, 0.000242f, 0.000364f, 0.000465f, 0.000803f, 0.000927f, 0.000956f, + 0.001275f, 0.001335f, 0.001570f, 0.001968f, 0.002184f, 0.002726f, 0.003069f, 0.003294f, + 0.003906f, 0.004662f, 0.005245f, 0.006027f, 0.007191f, 0.008202f, 0.009460f, 0.010735f, + 0.012970f, 0.015404f, 0.018051f, 0.021484f, 0.026321f, 0.032135f, 0.039581f, 0.049805f, + 0.063538f, 0.082458f, 0.109497f, 0.147827f, 0.202393f, 0.277344f, 0.373535f, 0.483887f, + 0.593262f, 0.688477f, 0.764648f, 0.821289f, 0.863281f, 0.894043f, 0.916016f, 0.932129f, + 0.944336f, 0.954590f, 0.962402f, 0.968262f, 0.973633f, 0.977051f, 0.980957f, 0.983398f, + 0.985352f, 0.987793f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, + 0.000000f, 0.000239f, 0.000360f, 0.000362f, 0.000363f, 0.000475f, 0.000767f, 0.000931f, + 0.000951f, 0.001211f, 0.001491f, 0.001634f, 0.002129f, 0.002457f, 0.002678f, 0.002995f, + 0.003393f, 0.003922f, 0.004711f, 0.005135f, 0.005955f, 0.006935f, 0.008072f, 0.009270f, + 0.010841f, 0.012558f, 0.014618f, 0.017502f, 0.020828f, 0.025269f, 0.030884f, 0.038269f, + 0.048218f, 0.061554f, 0.080505f, 0.106567f, 0.144287f, 0.197998f, 0.272705f, 0.369141f, + 0.480469f, 0.591797f, 0.690430f, 0.767090f, 0.824707f, 0.866699f, 0.896484f, 0.918457f, + 0.934570f, 0.946777f, 0.956543f, 0.963379f, 0.969727f, 0.974609f, 0.978027f, 0.981934f, + 0.984375f, 0.986328f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000000f, 0.000208f, 0.000238f, 0.000362f, 0.000363f, 0.000555f, 0.000600f, 0.000888f, + 0.001140f, 0.001140f, 0.001272f, 0.001661f, 0.001811f, 0.002041f, 0.002550f, 0.002636f, + 0.002941f, 0.003492f, 0.004032f, 0.004593f, 0.005062f, 0.005875f, 0.007015f, 0.007965f, + 0.009079f, 0.010300f, 0.012291f, 0.014229f, 0.016937f, 0.020248f, 0.024689f, 0.030151f, + 0.037354f, 0.047028f, 0.060211f, 0.078491f, 0.104431f, 0.141602f, 0.195068f, 0.270264f, + 0.367676f, 0.480957f, 0.594238f, 0.693848f, 0.770996f, 0.828613f, 0.869629f, 0.898438f, + 0.921875f, 0.937012f, 0.949219f, 0.958008f, 0.964844f, 0.971680f, 0.976074f, 0.979980f, + 0.982422f, 0.985840f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.995117f, 0.995117f, + 0.000000f, 0.000000f, 0.000229f, 0.000358f, 0.000479f, 0.000362f, 0.000498f, 0.000634f, + 0.000836f, 0.000927f, 0.001288f, 0.001244f, 0.001605f, 0.001732f, 0.002106f, 0.002478f, + 0.002613f, 0.003183f, 0.003510f, 0.004021f, 0.004528f, 0.005047f, 0.005768f, 0.006859f, + 0.007759f, 0.008865f, 0.009933f, 0.011742f, 0.013741f, 0.016678f, 0.019897f, 0.024017f, + 0.029297f, 0.036469f, 0.045990f, 0.058990f, 0.077026f, 0.102722f, 0.140015f, 0.193604f, + 0.269531f, 0.369141f, 0.485107f, 0.600098f, 0.700195f, 0.777344f, 0.833984f, 0.873535f, + 0.903809f, 0.924316f, 0.940430f, 0.951172f, 0.960938f, 0.968262f, 0.973145f, 0.978027f, + 0.980957f, 0.983887f, 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.995117f, 0.995117f, + 0.000000f, 0.000000f, 0.000078f, 0.000353f, 0.000354f, 0.000360f, 0.000482f, 0.000573f, + 0.000757f, 0.000923f, 0.001230f, 0.001266f, 0.001485f, 0.001679f, 0.001963f, 0.002161f, + 0.002235f, 0.002739f, 0.003115f, 0.003563f, 0.003933f, 0.004436f, 0.004917f, 0.005623f, + 0.006599f, 0.007469f, 0.008484f, 0.010101f, 0.011665f, 0.013695f, 0.016403f, 0.019531f, + 0.023300f, 0.028870f, 0.035889f, 0.045135f, 0.058014f, 0.075928f, 0.101746f, 0.139160f, + 0.193848f, 0.271729f, 0.374023f, 0.492920f, 0.609863f, 0.709473f, 0.786133f, 0.842285f, + 0.880859f, 0.908691f, 0.928711f, 0.943848f, 0.954102f, 0.963867f, 0.969727f, 0.975098f, + 0.979004f, 0.982422f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994629f, + 0.000000f, 0.000000f, 0.000000f, 0.000330f, 0.000336f, 0.000352f, 0.000478f, 0.000481f, + 0.000676f, 0.000822f, 0.001072f, 0.001228f, 0.001283f, 0.001417f, 0.001621f, 0.001938f, + 0.001953f, 0.002377f, 0.002737f, 0.002914f, 0.003624f, 0.003721f, 0.004555f, 0.004845f, + 0.005531f, 0.006325f, 0.007244f, 0.008255f, 0.009911f, 0.011467f, 0.013496f, 0.016068f, + 0.018951f, 0.022888f, 0.028183f, 0.035126f, 0.044617f, 0.057220f, 0.075134f, 0.101501f, + 0.139526f, 0.195679f, 0.276123f, 0.381592f, 0.503418f, 0.622070f, 0.721680f, 0.796387f, + 0.850098f, 0.887207f, 0.914551f, 0.933594f, 0.947266f, 0.957520f, 0.966797f, 0.972656f, + 0.977539f, 0.980957f, 0.993164f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000243f, 0.000466f, 0.000474f, 0.000475f, + 0.000600f, 0.000740f, 0.000796f, 0.001130f, 0.001333f, 0.001339f, 0.001440f, 0.001575f, + 0.001961f, 0.002031f, 0.002388f, 0.002563f, 0.003174f, 0.003345f, 0.003555f, 0.004143f, + 0.004681f, 0.005333f, 0.006191f, 0.007111f, 0.008278f, 0.009666f, 0.011177f, 0.013451f, + 0.015511f, 0.018707f, 0.022629f, 0.027847f, 0.034515f, 0.043976f, 0.056671f, 0.075012f, + 0.101685f, 0.140869f, 0.199341f, 0.282959f, 0.393311f, 0.519043f, 0.639160f, 0.736328f, + 0.809082f, 0.860352f, 0.896484f, 0.920898f, 0.939453f, 0.951660f, 0.961914f, 0.969238f, + 0.975098f, 0.979492f, 0.993164f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.993652f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000120f, 0.000367f, 0.000448f, 0.000589f, + 0.000595f, 0.000719f, 0.000707f, 0.000809f, 0.000966f, 0.001217f, 0.001369f, 0.001405f, + 0.001579f, 0.001786f, 0.002100f, 0.002260f, 0.002600f, 0.002762f, 0.003023f, 0.003531f, + 0.004219f, 0.004810f, 0.005409f, 0.006092f, 0.007053f, 0.008064f, 0.009163f, 0.010941f, + 0.012733f, 0.015251f, 0.018280f, 0.022202f, 0.027573f, 0.034271f, 0.043732f, 0.056458f, + 0.075134f, 0.102661f, 0.143433f, 0.205078f, 0.293701f, 0.409668f, 0.538574f, 0.658203f, + 0.753418f, 0.823242f, 0.870605f, 0.905273f, 0.927734f, 0.943848f, 0.956055f, 0.964844f, + 0.972168f, 0.977539f, 0.992188f, 0.992676f, 0.993164f, 0.993652f, 0.993164f, 0.992676f, + 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000224f, 0.000231f, 0.000314f, 0.000562f, + 0.000589f, 0.000699f, 0.000717f, 0.000776f, 0.000926f, 0.000968f, 0.001242f, 0.001360f, + 0.001487f, 0.001564f, 0.001713f, 0.002073f, 0.002169f, 0.002380f, 0.002941f, 0.003229f, + 0.003534f, 0.003914f, 0.004509f, 0.005127f, 0.005939f, 0.006596f, 0.007812f, 0.009354f, + 0.010559f, 0.012581f, 0.015007f, 0.018021f, 0.022079f, 0.027191f, 0.034119f, 0.043427f, + 0.057190f, 0.075623f, 0.104492f, 0.147949f, 0.213135f, 0.308105f, 0.430664f, 0.562500f, + 0.681641f, 0.772949f, 0.839355f, 0.884277f, 0.913574f, 0.934570f, 0.950195f, 0.961426f, + 0.969238f, 0.975098f, 0.991211f, 0.992676f, 0.992676f, 0.992676f, 0.992676f, 0.992188f, + 0.000000f, 0.000000f, 0.000000f, 0.000084f, 0.000117f, 0.000119f, 0.000367f, 0.000473f, + 0.000555f, 0.000576f, 0.000674f, 0.000713f, 0.000816f, 0.000913f, 0.001049f, 0.001168f, + 0.001263f, 0.001473f, 0.001580f, 0.001781f, 0.002005f, 0.002123f, 0.002316f, 0.002674f, + 0.003094f, 0.003475f, 0.003967f, 0.004318f, 0.004833f, 0.005798f, 0.006699f, 0.007801f, + 0.008888f, 0.010429f, 0.012268f, 0.014824f, 0.017792f, 0.021790f, 0.026978f, 0.033844f, + 0.043518f, 0.057068f, 0.077148f, 0.107605f, 0.154053f, 0.224609f, 0.326904f, 0.456543f, + 0.591797f, 0.708984f, 0.795410f, 0.855957f, 0.895508f, 0.923340f, 0.942383f, 0.955566f, + 0.965332f, 0.973145f, 0.991211f, 0.991699f, 0.992188f, 0.992188f, 0.992188f, 0.991699f, + 0.000000f, 0.000000f, 0.000000f, 0.000092f, 0.000070f, 0.000236f, 0.000119f, 0.000376f, + 0.000433f, 0.000561f, 0.000688f, 0.000586f, 0.000742f, 0.000842f, 0.000881f, 0.000937f, + 0.001141f, 0.001300f, 0.001434f, 0.001464f, 0.001598f, 0.001829f, 0.002062f, 0.002338f, + 0.002583f, 0.003036f, 0.003460f, 0.003704f, 0.004383f, 0.004986f, 0.005615f, 0.006439f, + 0.007267f, 0.008797f, 0.010330f, 0.012146f, 0.014473f, 0.017532f, 0.021622f, 0.026535f, + 0.033539f, 0.043579f, 0.058044f, 0.079041f, 0.111572f, 0.162109f, 0.239746f, 0.350830f, + 0.488770f, 0.625000f, 0.737305f, 0.817871f, 0.871582f, 0.908203f, 0.932129f, 0.949219f, + 0.961914f, 0.970215f, 0.990234f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, + 0.000000f, 0.000000f, 0.000000f, 0.000080f, 0.000100f, 0.000115f, 0.000335f, 0.000350f, + 0.000355f, 0.000473f, 0.000633f, 0.000678f, 0.000695f, 0.000694f, 0.000812f, 0.000733f, + 0.001109f, 0.001098f, 0.001260f, 0.001452f, 0.001377f, 0.001534f, 0.001972f, 0.001982f, + 0.002232f, 0.002567f, 0.002764f, 0.003273f, 0.003542f, 0.004181f, 0.004738f, 0.005466f, + 0.006268f, 0.007126f, 0.008614f, 0.010170f, 0.012093f, 0.014359f, 0.017075f, 0.021042f, + 0.026459f, 0.033722f, 0.044159f, 0.059113f, 0.082092f, 0.117249f, 0.173218f, 0.259766f, + 0.382080f, 0.526367f, 0.662598f, 0.768066f, 0.840332f, 0.889648f, 0.920410f, 0.940918f, + 0.956543f, 0.966309f, 0.989746f, 0.990234f, 0.990723f, 0.990723f, 0.990723f, 0.990723f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000191f, 0.000236f, 0.000335f, + 0.000337f, 0.000466f, 0.000399f, 0.000608f, 0.000626f, 0.000669f, 0.000696f, 0.000808f, + 0.000859f, 0.000915f, 0.000903f, 0.001168f, 0.001245f, 0.001500f, 0.001525f, 0.001863f, + 0.001941f, 0.002121f, 0.002399f, 0.002861f, 0.002953f, 0.003632f, 0.004105f, 0.004745f, + 0.005333f, 0.006317f, 0.007236f, 0.008255f, 0.009857f, 0.011414f, 0.014015f, 0.016922f, + 0.020828f, 0.026321f, 0.034149f, 0.044861f, 0.061279f, 0.085571f, 0.124878f, 0.187866f, + 0.285645f, 0.420654f, 0.570801f, 0.703125f, 0.799805f, 0.864258f, 0.905273f, 0.932129f, + 0.950684f, 0.963379f, 0.988770f, 0.989258f, 0.989746f, 0.989746f, 0.989746f, 0.989746f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000000f, 0.000122f, 0.000125f, 0.000232f, + 0.000360f, 0.000342f, 0.000463f, 0.000388f, 0.000569f, 0.000638f, 0.000671f, 0.000791f, + 0.000774f, 0.000943f, 0.000774f, 0.001018f, 0.001044f, 0.001245f, 0.001377f, 0.001410f, + 0.001643f, 0.001970f, 0.002041f, 0.002316f, 0.002758f, 0.003023f, 0.003433f, 0.003859f, + 0.004444f, 0.005180f, 0.006134f, 0.006920f, 0.008102f, 0.009354f, 0.011475f, 0.013649f, + 0.016739f, 0.021011f, 0.026566f, 0.034454f, 0.046051f, 0.063843f, 0.090942f, 0.135498f, + 0.207642f, 0.319580f, 0.467529f, 0.620605f, 0.745605f, 0.830566f, 0.886230f, 0.920898f, + 0.943848f, 0.958984f, 0.987793f, 0.988281f, 0.988770f, 0.988770f, 0.988281f, 0.988770f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000188f, 0.000200f, + 0.000332f, 0.000417f, 0.000338f, 0.000459f, 0.000349f, 0.000558f, 0.000642f, 0.000636f, + 0.000629f, 0.000807f, 0.000695f, 0.000747f, 0.000827f, 0.001058f, 0.001182f, 0.001269f, + 0.001422f, 0.001472f, 0.001921f, 0.002100f, 0.002337f, 0.002462f, 0.003073f, 0.003374f, + 0.003708f, 0.004265f, 0.004826f, 0.005646f, 0.006596f, 0.007710f, 0.008926f, 0.011063f, + 0.013580f, 0.016495f, 0.020737f, 0.026459f, 0.035126f, 0.047791f, 0.066833f, 0.097778f, + 0.149170f, 0.233887f, 0.363037f, 0.523438f, 0.674805f, 0.788086f, 0.860352f, 0.906250f, + 0.935547f, 0.954102f, 0.986328f, 0.987305f, 0.987305f, 0.987305f, 0.987305f, 0.987793f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000175f, + 0.000155f, 0.000319f, 0.000241f, 0.000318f, 0.000455f, 0.000462f, 0.000496f, 0.000593f, + 0.000516f, 0.000564f, 0.000667f, 0.000668f, 0.000715f, 0.000749f, 0.000925f, 0.001111f, + 0.001246f, 0.001381f, 0.001443f, 0.001856f, 0.001997f, 0.002264f, 0.002363f, 0.002880f, + 0.003212f, 0.003727f, 0.004208f, 0.004673f, 0.005394f, 0.006367f, 0.007404f, 0.009003f, + 0.010651f, 0.013138f, 0.016312f, 0.020767f, 0.027054f, 0.036377f, 0.050262f, 0.071655f, + 0.107361f, 0.167969f, 0.269287f, 0.418457f, 0.587402f, 0.730957f, 0.828125f, 0.888184f, + 0.924805f, 0.948242f, 0.984863f, 0.986328f, 0.986328f, 0.985840f, 0.986328f, 0.986328f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000202f, 0.000133f, 0.000215f, 0.000263f, 0.000304f, 0.000442f, 0.000332f, 0.000365f, + 0.000403f, 0.000549f, 0.000607f, 0.000750f, 0.000788f, 0.000802f, 0.000841f, 0.000958f, + 0.001049f, 0.001188f, 0.001354f, 0.001318f, 0.001582f, 0.001928f, 0.002064f, 0.002321f, + 0.002594f, 0.003042f, 0.003222f, 0.003796f, 0.004440f, 0.005112f, 0.006081f, 0.007259f, + 0.008736f, 0.010612f, 0.013077f, 0.016464f, 0.020950f, 0.027664f, 0.037506f, 0.052795f, + 0.077698f, 0.120361f, 0.194336f, 0.317627f, 0.486572f, 0.657227f, 0.785156f, 0.865234f, + 0.913086f, 0.942871f, 0.983887f, 0.984863f, 0.984375f, 0.984863f, 0.984375f, 0.984863f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000122f, 0.000152f, 0.000257f, 0.000243f, 0.000288f, 0.000345f, 0.000228f, + 0.000358f, 0.000363f, 0.000432f, 0.000494f, 0.000530f, 0.000582f, 0.000762f, 0.000771f, + 0.000913f, 0.000978f, 0.001100f, 0.001305f, 0.001373f, 0.001706f, 0.001712f, 0.001922f, + 0.002155f, 0.002569f, 0.002573f, 0.003094f, 0.003401f, 0.004272f, 0.004978f, 0.005829f, + 0.006924f, 0.008453f, 0.010452f, 0.012871f, 0.016617f, 0.021072f, 0.028427f, 0.039429f, + 0.056732f, 0.086243f, 0.138916f, 0.231812f, 0.381592f, 0.566406f, 0.726562f, 0.833496f, + 0.896973f, 0.933594f, 0.981934f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, + 0.000122f, 0.000121f, 0.000127f, 0.000215f, 0.000159f, 0.000233f, 0.000284f, 0.000326f, + 0.000339f, 0.000339f, 0.000352f, 0.000394f, 0.000623f, 0.000622f, 0.000731f, 0.000730f, + 0.000741f, 0.000829f, 0.000914f, 0.001017f, 0.001151f, 0.001469f, 0.001263f, 0.001480f, + 0.001740f, 0.002069f, 0.002104f, 0.002443f, 0.002831f, 0.003519f, 0.003929f, 0.004627f, + 0.005455f, 0.006634f, 0.008316f, 0.009949f, 0.012596f, 0.016495f, 0.021729f, 0.029877f, + 0.042084f, 0.062805f, 0.098694f, 0.165283f, 0.284668f, 0.465088f, 0.654297f, 0.793945f, + 0.877930f, 0.924805f, 0.979980f, 0.980957f, 0.980957f, 0.981445f, 0.981445f, 0.980957f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, + 0.000121f, 0.000121f, 0.000150f, 0.000163f, 0.000069f, 0.000057f, 0.000121f, 0.000231f, + 0.000291f, 0.000304f, 0.000334f, 0.000339f, 0.000346f, 0.000569f, 0.000648f, 0.000674f, + 0.000649f, 0.000697f, 0.000772f, 0.000834f, 0.000972f, 0.001005f, 0.001189f, 0.001359f, + 0.001237f, 0.001567f, 0.001794f, 0.001963f, 0.002378f, 0.002712f, 0.002867f, 0.003853f, + 0.004330f, 0.005196f, 0.006516f, 0.008026f, 0.009888f, 0.012703f, 0.016479f, 0.022110f, + 0.031158f, 0.045746f, 0.070557f, 0.117004f, 0.204956f, 0.360596f, 0.564453f, 0.740723f, + 0.852051f, 0.912598f, 0.977539f, 0.979492f, 0.979492f, 0.979004f, 0.979492f, 0.979004f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000098f, 0.000082f, 0.000067f, 0.000056f, 0.000124f, + 0.000193f, 0.000240f, 0.000258f, 0.000310f, 0.000326f, 0.000335f, 0.000341f, 0.000471f, + 0.000613f, 0.000494f, 0.000716f, 0.000742f, 0.000804f, 0.000873f, 0.000832f, 0.001070f, + 0.001120f, 0.001146f, 0.001225f, 0.001696f, 0.001814f, 0.002041f, 0.002419f, 0.002941f, + 0.003433f, 0.004154f, 0.004818f, 0.006077f, 0.007652f, 0.009521f, 0.012444f, 0.017029f, + 0.023193f, 0.033539f, 0.050690f, 0.082092f, 0.144043f, 0.265869f, 0.463379f, 0.672363f, + 0.818848f, 0.898438f, 0.975586f, 0.976562f, 0.976562f, 0.976562f, 0.976074f, 0.976562f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000114f, 0.000096f, 0.000079f, 0.000125f, 0.000056f, + 0.000142f, 0.000120f, 0.000195f, 0.000246f, 0.000321f, 0.000305f, 0.000319f, 0.000395f, + 0.000442f, 0.000540f, 0.000642f, 0.000638f, 0.000696f, 0.000674f, 0.000687f, 0.000857f, + 0.000955f, 0.001128f, 0.001224f, 0.001364f, 0.001347f, 0.001555f, 0.001910f, 0.002245f, + 0.002714f, 0.003229f, 0.003824f, 0.004673f, 0.005676f, 0.007225f, 0.009293f, 0.012802f, + 0.017273f, 0.024368f, 0.036682f, 0.058075f, 0.100952f, 0.188721f, 0.358154f, 0.587891f, + 0.775879f, 0.881348f, 0.972168f, 0.972656f, 0.972656f, 0.973145f, 0.973145f, 0.973633f, + 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000112f, 0.000093f, 0.000079f, 0.000067f, + 0.000057f, 0.000049f, 0.000133f, 0.000137f, 0.000163f, 0.000244f, 0.000328f, 0.000366f, + 0.000356f, 0.000415f, 0.000436f, 0.000543f, 0.000555f, 0.000638f, 0.000597f, 0.000702f, + 0.000786f, 0.000648f, 0.000891f, 0.000804f, 0.001218f, 0.001070f, 0.001355f, 0.001731f, + 0.002171f, 0.002352f, 0.002796f, 0.003546f, 0.004189f, 0.005558f, 0.006939f, 0.009209f, + 0.012337f, 0.017776f, 0.026016f, 0.040833f, 0.069946f, 0.130981f, 0.262207f, 0.489258f, + 0.719238f, 0.859375f, 0.968262f, 0.969238f, 0.969727f, 0.969727f, 0.969727f, 0.969727f, + 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000110f, 0.000093f, 0.000080f, + 0.000068f, 0.000094f, 0.000119f, 0.000117f, 0.000120f, 0.000123f, 0.000173f, 0.000263f, + 0.000263f, 0.000359f, 0.000386f, 0.000390f, 0.000401f, 0.000556f, 0.000549f, 0.000573f, + 0.000502f, 0.000707f, 0.000789f, 0.000629f, 0.000847f, 0.001003f, 0.001024f, 0.001242f, + 0.001423f, 0.001877f, 0.002012f, 0.002571f, 0.003071f, 0.003925f, 0.005131f, 0.006767f, + 0.009140f, 0.012672f, 0.018509f, 0.028992f, 0.048309f, 0.089233f, 0.183838f, 0.383545f, + 0.646973f, 0.830078f, 0.963867f, 0.964844f, 0.964844f, 0.965820f, 0.965820f, 0.965820f, + 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000113f, 0.000095f, + 0.000083f, 0.000070f, 0.000061f, 0.000054f, 0.000048f, 0.000042f, 0.000115f, 0.000112f, + 0.000151f, 0.000213f, 0.000309f, 0.000298f, 0.000359f, 0.000337f, 0.000382f, 0.000440f, + 0.000576f, 0.000477f, 0.000453f, 0.000690f, 0.000687f, 0.000795f, 0.000776f, 0.000911f, + 0.001117f, 0.001119f, 0.001352f, 0.002001f, 0.002140f, 0.002832f, 0.003609f, 0.004715f, + 0.006302f, 0.008835f, 0.013115f, 0.020004f, 0.032867f, 0.060333f, 0.124512f, 0.281982f, + 0.557617f, 0.794434f, 0.959473f, 0.959961f, 0.960449f, 0.960449f, 0.960449f, 0.959961f, + 0.000122f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, + 0.000119f, 0.000119f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000116f, + 0.000098f, 0.000087f, 0.000076f, 0.000065f, 0.000057f, 0.000050f, 0.000045f, 0.000091f, + 0.000074f, 0.000106f, 0.000185f, 0.000193f, 0.000228f, 0.000328f, 0.000323f, 0.000399f, + 0.000429f, 0.000498f, 0.000552f, 0.000432f, 0.000542f, 0.000592f, 0.000599f, 0.000729f, + 0.000734f, 0.000885f, 0.001304f, 0.001273f, 0.001756f, 0.001931f, 0.002445f, 0.003120f, + 0.004456f, 0.006165f, 0.008751f, 0.013466f, 0.022141f, 0.040192f, 0.082397f, 0.195679f, + 0.455322f, 0.745117f, 0.952637f, 0.953613f, 0.953613f, 0.954102f, 0.952637f, 0.953613f, + 0.000000f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, + 0.000118f, 0.000118f, 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, + 0.000117f, 0.000104f, 0.000092f, 0.000079f, 0.000071f, 0.000062f, 0.000055f, 0.000049f, + 0.000044f, 0.000039f, 0.000099f, 0.000106f, 0.000158f, 0.000169f, 0.000241f, 0.000274f, + 0.000293f, 0.000389f, 0.000360f, 0.000399f, 0.000387f, 0.000446f, 0.000401f, 0.000530f, + 0.000565f, 0.000691f, 0.000722f, 0.000848f, 0.001147f, 0.001418f, 0.001677f, 0.002087f, + 0.002972f, 0.004169f, 0.005623f, 0.008835f, 0.014404f, 0.026077f, 0.053467f, 0.129395f, + 0.346924f, 0.685059f, 0.943848f, 0.945801f, 0.945801f, 0.945312f, 0.945801f, 0.945801f, + 0.000000f, 0.000000f, 0.000117f, 0.000116f, 0.000117f, 0.000117f, 0.000116f, 0.000116f, + 0.000115f, 0.000116f, 0.000115f, 0.000116f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, + 0.000115f, 0.000115f, 0.000110f, 0.000097f, 0.000086f, 0.000077f, 0.000067f, 0.000060f, + 0.000053f, 0.000048f, 0.000043f, 0.000061f, 0.000090f, 0.000083f, 0.000139f, 0.000139f, + 0.000216f, 0.000254f, 0.000307f, 0.000358f, 0.000269f, 0.000377f, 0.000324f, 0.000369f, + 0.000405f, 0.000455f, 0.000524f, 0.000706f, 0.000701f, 0.001012f, 0.001206f, 0.001316f, + 0.001663f, 0.002350f, 0.003571f, 0.005505f, 0.008873f, 0.016006f, 0.033234f, 0.081848f, + 0.244751f, 0.605469f, 0.934082f, 0.935059f, 0.936035f, 0.935547f, 0.935547f, 0.935547f, + 0.000105f, 0.000114f, 0.000113f, 0.000113f, 0.000111f, 0.000111f, 0.000112f, 0.000111f, + 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000111f, 0.000112f, 0.000112f, 0.000112f, + 0.000112f, 0.000112f, 0.000112f, 0.000112f, 0.000105f, 0.000093f, 0.000083f, 0.000074f, + 0.000066f, 0.000059f, 0.000053f, 0.000048f, 0.000043f, 0.000062f, 0.000052f, 0.000063f, + 0.000092f, 0.000146f, 0.000176f, 0.000216f, 0.000227f, 0.000263f, 0.000244f, 0.000267f, + 0.000370f, 0.000326f, 0.000360f, 0.000391f, 0.000505f, 0.000618f, 0.000726f, 0.000969f, + 0.001117f, 0.001651f, 0.002131f, 0.003090f, 0.005188f, 0.009499f, 0.019836f, 0.049042f, + 0.159180f, 0.509766f, 0.921875f, 0.922852f, 0.922852f, 0.922363f, 0.923340f, 0.922852f, + 0.000000f, 0.000000f, 0.000065f, 0.000098f, 0.000096f, 0.000101f, 0.000100f, 0.000104f, + 0.000104f, 0.000103f, 0.000106f, 0.000106f, 0.000106f, 0.000105f, 0.000107f, 0.000107f, + 0.000106f, 0.000107f, 0.000107f, 0.000108f, 0.000107f, 0.000108f, 0.000104f, 0.000092f, + 0.000082f, 0.000075f, 0.000067f, 0.000059f, 0.000054f, 0.000048f, 0.000044f, 0.000039f, + 0.000037f, 0.000058f, 0.000066f, 0.000122f, 0.000137f, 0.000175f, 0.000208f, 0.000194f, + 0.000208f, 0.000240f, 0.000270f, 0.000281f, 0.000323f, 0.000364f, 0.000479f, 0.000591f, + 0.000712f, 0.000986f, 0.001224f, 0.001896f, 0.002996f, 0.005196f, 0.010506f, 0.027527f, + 0.095581f, 0.399658f, 0.905762f, 0.906738f, 0.906250f, 0.905762f, 0.905762f, 0.907227f, + 0.000000f, 0.000000f, 0.000000f, 0.000017f, 0.000030f, 0.000054f, 0.000061f, 0.000081f, + 0.000087f, 0.000088f, 0.000089f, 0.000093f, 0.000093f, 0.000096f, 0.000096f, 0.000097f, + 0.000098f, 0.000099f, 0.000098f, 0.000100f, 0.000100f, 0.000101f, 0.000100f, 0.000101f, + 0.000101f, 0.000092f, 0.000082f, 0.000074f, 0.000067f, 0.000060f, 0.000054f, 0.000049f, + 0.000045f, 0.000040f, 0.000036f, 0.000037f, 0.000059f, 0.000077f, 0.000093f, 0.000143f, + 0.000155f, 0.000188f, 0.000178f, 0.000184f, 0.000231f, 0.000234f, 0.000272f, 0.000352f, + 0.000420f, 0.000525f, 0.000764f, 0.001091f, 0.001653f, 0.002705f, 0.005474f, 0.013939f, + 0.051880f, 0.283691f, 0.883789f, 0.884766f, 0.885254f, 0.885254f, 0.885742f, 0.885254f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000013f, + 0.000032f, 0.000046f, 0.000050f, 0.000060f, 0.000065f, 0.000065f, 0.000075f, 0.000078f, + 0.000080f, 0.000079f, 0.000084f, 0.000083f, 0.000087f, 0.000087f, 0.000089f, 0.000090f, + 0.000091f, 0.000091f, 0.000092f, 0.000092f, 0.000083f, 0.000075f, 0.000068f, 0.000062f, + 0.000056f, 0.000050f, 0.000046f, 0.000042f, 0.000037f, 0.000039f, 0.000044f, 0.000072f, + 0.000068f, 0.000089f, 0.000125f, 0.000124f, 0.000126f, 0.000153f, 0.000183f, 0.000212f, + 0.000219f, 0.000311f, 0.000363f, 0.000566f, 0.000846f, 0.001332f, 0.002522f, 0.006252f, + 0.023834f, 0.175415f, 0.855957f, 0.856934f, 0.856934f, 0.856934f, 0.857422f, 0.856934f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000024f, 0.000028f, + 0.000040f, 0.000044f, 0.000051f, 0.000053f, 0.000060f, 0.000063f, 0.000064f, 0.000067f, + 0.000071f, 0.000072f, 0.000074f, 0.000076f, 0.000077f, 0.000079f, 0.000079f, 0.000075f, + 0.000068f, 0.000062f, 0.000056f, 0.000051f, 0.000046f, 0.000042f, 0.000038f, 0.000034f, + 0.000031f, 0.000030f, 0.000045f, 0.000079f, 0.000081f, 0.000107f, 0.000114f, 0.000106f, + 0.000144f, 0.000136f, 0.000171f, 0.000254f, 0.000377f, 0.000531f, 0.001037f, 0.002504f, + 0.009140f, 0.088379f, 0.818848f, 0.820801f, 0.819824f, 0.820312f, 0.819336f, 0.820801f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000014f, 0.000021f, 0.000028f, + 0.000034f, 0.000036f, 0.000042f, 0.000046f, 0.000049f, 0.000052f, 0.000054f, 0.000056f, + 0.000059f, 0.000061f, 0.000064f, 0.000061f, 0.000055f, 0.000050f, 0.000045f, 0.000041f, + 0.000037f, 0.000033f, 0.000030f, 0.000027f, 0.000024f, 0.000033f, 0.000060f, 0.000059f, + 0.000075f, 0.000073f, 0.000101f, 0.000089f, 0.000144f, 0.000226f, 0.000384f, 0.000847f, + 0.003033f, 0.031860f, 0.770020f, 0.770996f, 0.772461f, 0.771973f, 0.772461f, 0.771973f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, 0.000016f, + 0.000021f, 0.000023f, 0.000029f, 0.000032f, 0.000036f, 0.000039f, 0.000042f, 0.000044f, + 0.000042f, 0.000038f, 0.000035f, 0.000031f, 0.000028f, 0.000025f, 0.000022f, 0.000020f, + 0.000017f, 0.000024f, 0.000040f, 0.000047f, 0.000053f, 0.000063f, 0.000087f, 0.000190f, + 0.000666f, 0.007278f, 0.708496f, 0.709961f, 0.710449f, 0.710938f, 0.710938f, 0.710449f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, + 0.000005f, 0.000010f, 0.000014f, 0.000018f, 0.000021f, 0.000024f, 0.000024f, 0.000021f, + 0.000018f, 0.000016f, 0.000014f, 0.000012f, 0.000008f, 0.000020f, 0.000022f, 0.000025f, + 0.000073f, 0.000744f, 0.632324f, 0.632812f, 0.633789f, 0.633789f, 0.633301f, 0.632812f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000007f, 0.000006f, 0.000004f, + 0.000005f, 0.000007f, 0.543945f, 0.545410f, 0.545410f, 0.545410f, 0.546387f, 0.545898f, + }, + { + 0.159546f, 0.492676f, 0.684570f, 0.783203f, 0.838379f, 0.873535f, 0.897949f, 0.913574f, + 0.926270f, 0.936035f, 0.943359f, 0.950195f, 0.955566f, 0.959473f, 0.963379f, 0.966797f, + 0.969238f, 0.972168f, 0.973633f, 0.976562f, 0.978027f, 0.979492f, 0.980957f, 0.982422f, + 0.983887f, 0.984863f, 0.985840f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, 0.989746f, + 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.995117f, 0.995605f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, + 0.997070f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, 0.999023f, + 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.034119f, 0.154175f, 0.341309f, 0.532227f, 0.672363f, 0.763184f, 0.820801f, 0.858398f, + 0.885742f, 0.904297f, 0.918945f, 0.929199f, 0.938965f, 0.945801f, 0.951660f, 0.956543f, + 0.961426f, 0.964355f, 0.968262f, 0.970703f, 0.973145f, 0.975586f, 0.977539f, 0.979004f, + 0.980469f, 0.981934f, 0.983398f, 0.984375f, 0.985352f, 0.986328f, 0.987305f, 0.988281f, + 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.993164f, + 0.993652f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, + 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.999023f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.013390f, 0.056915f, 0.134155f, 0.257080f, 0.412109f, 0.560547f, 0.675781f, 0.755859f, + 0.812012f, 0.851074f, 0.877930f, 0.898926f, 0.913574f, 0.925781f, 0.935059f, 0.942871f, + 0.949707f, 0.954590f, 0.959473f, 0.963379f, 0.966797f, 0.969238f, 0.971680f, 0.975098f, + 0.976562f, 0.978516f, 0.979980f, 0.980957f, 0.982422f, 0.984375f, 0.985352f, 0.985840f, + 0.987305f, 0.987793f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.991699f, 0.992188f, + 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, 0.995605f, 0.995605f, + 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, + 0.998535f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.006939f, 0.027863f, 0.061951f, 0.117859f, 0.204834f, 0.324707f, 0.460205f, 0.585449f, + 0.684570f, 0.757324f, 0.810059f, 0.847168f, 0.874023f, 0.895996f, 0.910645f, 0.922852f, + 0.933105f, 0.940918f, 0.947754f, 0.953613f, 0.958496f, 0.961914f, 0.965820f, 0.968750f, + 0.971680f, 0.974121f, 0.976074f, 0.978027f, 0.979492f, 0.981445f, 0.982910f, 0.983887f, + 0.984863f, 0.986328f, 0.987305f, 0.988281f, 0.988770f, 0.989746f, 0.990234f, 0.990723f, + 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.993652f, 0.994141f, 0.995117f, 0.995605f, + 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, + 0.998535f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, + 0.004211f, 0.016022f, 0.034119f, 0.061432f, 0.104797f, 0.170288f, 0.262695f, 0.377686f, + 0.499756f, 0.608887f, 0.696777f, 0.762207f, 0.810547f, 0.847168f, 0.873535f, 0.893066f, + 0.910156f, 0.922852f, 0.932617f, 0.939941f, 0.946777f, 0.953125f, 0.958496f, 0.961914f, + 0.965332f, 0.968750f, 0.971680f, 0.973633f, 0.975586f, 0.977539f, 0.979492f, 0.981445f, + 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.987793f, 0.987793f, 0.989258f, 0.989746f, + 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, + 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999023f, 0.999512f, 0.999023f, 0.999023f, + 0.002724f, 0.010384f, 0.020813f, 0.036285f, 0.059784f, 0.093933f, 0.145508f, 0.218018f, + 0.313232f, 0.424072f, 0.534180f, 0.632812f, 0.709961f, 0.769531f, 0.815918f, 0.848145f, + 0.874512f, 0.894043f, 0.909668f, 0.922363f, 0.932129f, 0.939941f, 0.946777f, 0.953125f, + 0.958008f, 0.961914f, 0.965332f, 0.968750f, 0.971680f, 0.973633f, 0.976562f, 0.978516f, + 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.985352f, 0.986816f, 0.987793f, 0.988281f, + 0.988770f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.002113f, 0.007004f, 0.014091f, 0.023895f, 0.037811f, 0.057373f, 0.085632f, 0.127075f, + 0.185425f, 0.263672f, 0.360596f, 0.465576f, 0.566895f, 0.655762f, 0.725586f, 0.779297f, + 0.822266f, 0.853516f, 0.877441f, 0.895996f, 0.911621f, 0.923828f, 0.933105f, 0.940918f, + 0.947754f, 0.953613f, 0.957520f, 0.962402f, 0.965820f, 0.968750f, 0.972168f, 0.974121f, + 0.976074f, 0.978027f, 0.980469f, 0.981934f, 0.983398f, 0.984863f, 0.985352f, 0.986328f, + 0.988281f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, 0.993164f, + 0.993652f, 0.994629f, 0.994629f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.001575f, 0.005211f, 0.010040f, 0.016220f, 0.025665f, 0.037415f, 0.054138f, 0.078491f, + 0.112915f, 0.160156f, 0.225464f, 0.308594f, 0.405029f, 0.506348f, 0.599121f, 0.678711f, + 0.743164f, 0.791016f, 0.829590f, 0.859375f, 0.881836f, 0.899414f, 0.913086f, 0.924805f, + 0.934570f, 0.942383f, 0.948730f, 0.955078f, 0.958984f, 0.963379f, 0.966797f, 0.970215f, + 0.972168f, 0.974609f, 0.977051f, 0.979004f, 0.980957f, 0.981934f, 0.983398f, 0.984863f, + 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, + 0.993164f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, 0.996094f, + 0.996582f, 0.997559f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.000985f, 0.004086f, 0.007362f, 0.011887f, 0.018127f, 0.026199f, 0.036804f, 0.052002f, + 0.072754f, 0.101318f, 0.140747f, 0.195190f, 0.266113f, 0.352539f, 0.448730f, 0.543945f, + 0.630371f, 0.702637f, 0.759277f, 0.803711f, 0.839355f, 0.865234f, 0.886719f, 0.903320f, + 0.916504f, 0.927734f, 0.936523f, 0.944336f, 0.950195f, 0.955566f, 0.959961f, 0.964355f, + 0.967773f, 0.970215f, 0.973145f, 0.975586f, 0.978027f, 0.979004f, 0.980957f, 0.982910f, + 0.984375f, 0.985352f, 0.987305f, 0.987305f, 0.988770f, 0.990234f, 0.990234f, 0.991699f, + 0.991699f, 0.993164f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, + 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.999023f, + 0.000829f, 0.002878f, 0.005596f, 0.009109f, 0.013359f, 0.019089f, 0.026901f, 0.036774f, + 0.049347f, 0.067200f, 0.091736f, 0.125854f, 0.171631f, 0.232544f, 0.308594f, 0.397461f, + 0.491455f, 0.581055f, 0.659668f, 0.724609f, 0.775879f, 0.817383f, 0.848633f, 0.873047f, + 0.892090f, 0.907715f, 0.920410f, 0.930664f, 0.939453f, 0.946289f, 0.951660f, 0.957520f, + 0.960938f, 0.965820f, 0.968750f, 0.972168f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, + 0.981934f, 0.983887f, 0.984863f, 0.986328f, 0.986816f, 0.988770f, 0.989746f, 0.990234f, + 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.995605f, + 0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000836f, 0.002403f, 0.004837f, 0.006950f, 0.010269f, 0.014679f, 0.019699f, 0.026291f, + 0.035431f, 0.046875f, 0.062744f, 0.084045f, 0.113403f, 0.152588f, 0.204712f, 0.271729f, + 0.353271f, 0.443115f, 0.532715f, 0.617188f, 0.688477f, 0.748047f, 0.793945f, 0.829102f, + 0.857422f, 0.880371f, 0.898438f, 0.912598f, 0.924316f, 0.934082f, 0.941406f, 0.948242f, + 0.954590f, 0.959473f, 0.963379f, 0.967285f, 0.970215f, 0.973145f, 0.975586f, 0.977539f, + 0.979980f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.987305f, 0.988281f, 0.988770f, + 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, + 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000698f, 0.002052f, 0.003618f, 0.005703f, 0.008430f, 0.011230f, 0.015083f, 0.019821f, + 0.026474f, 0.034393f, 0.044922f, 0.059204f, 0.077698f, 0.102661f, 0.136963f, 0.182373f, + 0.241089f, 0.314941f, 0.398926f, 0.489014f, 0.575195f, 0.652344f, 0.717285f, 0.769043f, + 0.810059f, 0.842773f, 0.869141f, 0.888672f, 0.904785f, 0.917969f, 0.928711f, 0.936523f, + 0.945312f, 0.951660f, 0.957031f, 0.961426f, 0.964844f, 0.968750f, 0.971680f, 0.974121f, + 0.976562f, 0.979004f, 0.980469f, 0.982422f, 0.983887f, 0.985352f, 0.986816f, 0.987793f, + 0.988770f, 0.990234f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994141f, + 0.994629f, 0.995605f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.000244f, 0.001565f, 0.002975f, 0.004433f, 0.006596f, 0.008957f, 0.012215f, 0.015533f, + 0.020294f, 0.026062f, 0.033722f, 0.042816f, 0.055237f, 0.071960f, 0.094543f, 0.124023f, + 0.164185f, 0.216309f, 0.281738f, 0.360352f, 0.446533f, 0.534180f, 0.615234f, 0.686523f, + 0.743652f, 0.790527f, 0.825684f, 0.855957f, 0.878418f, 0.895996f, 0.911133f, 0.923340f, + 0.933105f, 0.941406f, 0.948242f, 0.953613f, 0.959473f, 0.963379f, 0.966797f, 0.970703f, + 0.973145f, 0.976074f, 0.978516f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986328f, + 0.987305f, 0.989258f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, + 0.994141f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, + 0.000365f, 0.001394f, 0.002546f, 0.004055f, 0.005394f, 0.007465f, 0.009674f, 0.012070f, + 0.015556f, 0.019913f, 0.025696f, 0.032623f, 0.041046f, 0.052643f, 0.067383f, 0.087463f, + 0.113708f, 0.148315f, 0.194946f, 0.254395f, 0.326416f, 0.408691f, 0.495117f, 0.579102f, + 0.654297f, 0.716797f, 0.768066f, 0.809570f, 0.843262f, 0.868652f, 0.888184f, 0.904785f, + 0.918457f, 0.929199f, 0.937500f, 0.945801f, 0.951660f, 0.957520f, 0.961914f, 0.965820f, + 0.969238f, 0.972656f, 0.975098f, 0.978027f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, + 0.986328f, 0.987793f, 0.989258f, 0.989746f, 0.991211f, 0.991211f, 0.992188f, 0.993164f, + 0.993652f, 0.994629f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000596f, 0.001077f, 0.001882f, 0.003033f, 0.004559f, 0.006241f, 0.007805f, 0.010002f, + 0.012840f, 0.015900f, 0.019974f, 0.025131f, 0.031250f, 0.039337f, 0.049988f, 0.063843f, + 0.080933f, 0.105164f, 0.135986f, 0.176880f, 0.230103f, 0.296631f, 0.374268f, 0.459961f, + 0.544434f, 0.623535f, 0.691895f, 0.748535f, 0.792969f, 0.829102f, 0.857422f, 0.880371f, + 0.897949f, 0.913086f, 0.924805f, 0.934570f, 0.942383f, 0.949219f, 0.955566f, 0.960938f, + 0.964844f, 0.968750f, 0.971191f, 0.974121f, 0.977051f, 0.979004f, 0.980957f, 0.982910f, + 0.984863f, 0.985840f, 0.987305f, 0.989258f, 0.989746f, 0.991211f, 0.991211f, 0.992676f, + 0.993164f, 0.993652f, 0.997559f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.000243f, 0.001173f, 0.001889f, 0.002661f, 0.003933f, 0.005131f, 0.006496f, 0.008324f, + 0.010574f, 0.013115f, 0.015839f, 0.019913f, 0.024445f, 0.030609f, 0.037781f, 0.047333f, + 0.059906f, 0.075928f, 0.097229f, 0.124939f, 0.161743f, 0.209595f, 0.271240f, 0.343994f, + 0.426758f, 0.511719f, 0.592773f, 0.666504f, 0.727051f, 0.776855f, 0.815918f, 0.847656f, + 0.871582f, 0.892090f, 0.907715f, 0.920898f, 0.931152f, 0.940918f, 0.947754f, 0.953613f, + 0.958496f, 0.963867f, 0.967773f, 0.970703f, 0.974121f, 0.976074f, 0.979004f, 0.980469f, + 0.982910f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.990234f, 0.990234f, 0.992188f, + 0.992188f, 0.993164f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.000351f, 0.000842f, 0.001560f, 0.002363f, 0.003258f, 0.004131f, 0.005272f, 0.007179f, + 0.008682f, 0.010643f, 0.013016f, 0.016037f, 0.019516f, 0.024078f, 0.029602f, 0.036591f, + 0.045044f, 0.056641f, 0.071350f, 0.090576f, 0.116211f, 0.149414f, 0.193237f, 0.248779f, + 0.317871f, 0.396973f, 0.481201f, 0.564453f, 0.640137f, 0.705566f, 0.759766f, 0.802734f, + 0.836914f, 0.863281f, 0.885742f, 0.902832f, 0.916992f, 0.927734f, 0.937012f, 0.945801f, + 0.952637f, 0.958008f, 0.961914f, 0.966309f, 0.970703f, 0.974121f, 0.976074f, 0.978516f, + 0.980957f, 0.982910f, 0.984863f, 0.985840f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, + 0.991211f, 0.992676f, 0.997070f, 0.997559f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, + 0.000000f, 0.000886f, 0.001405f, 0.001915f, 0.002651f, 0.003870f, 0.004845f, 0.006035f, + 0.006912f, 0.008812f, 0.010887f, 0.013229f, 0.016022f, 0.019196f, 0.023590f, 0.028992f, + 0.035248f, 0.043304f, 0.053711f, 0.066956f, 0.085083f, 0.107727f, 0.138428f, 0.178589f, + 0.229980f, 0.293945f, 0.370117f, 0.453369f, 0.537109f, 0.616699f, 0.685059f, 0.743164f, + 0.790039f, 0.826660f, 0.856445f, 0.878906f, 0.897949f, 0.913574f, 0.925293f, 0.935547f, + 0.943848f, 0.951172f, 0.957031f, 0.961914f, 0.966797f, 0.970215f, 0.973145f, 0.976562f, + 0.979004f, 0.980469f, 0.982910f, 0.984375f, 0.985840f, 0.987305f, 0.988770f, 0.989746f, + 0.991211f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000104f, 0.000719f, 0.001065f, 0.001970f, 0.002544f, 0.003149f, 0.004230f, 0.005138f, + 0.006119f, 0.007580f, 0.009201f, 0.010902f, 0.013260f, 0.015526f, 0.019272f, 0.022858f, + 0.027512f, 0.033569f, 0.041199f, 0.050873f, 0.063782f, 0.079895f, 0.101135f, 0.128906f, + 0.165771f, 0.213745f, 0.273193f, 0.345703f, 0.427002f, 0.511719f, 0.592773f, 0.666016f, + 0.727051f, 0.776367f, 0.817871f, 0.848633f, 0.875000f, 0.894531f, 0.909668f, 0.922852f, + 0.934082f, 0.942383f, 0.949707f, 0.956055f, 0.961914f, 0.966309f, 0.970215f, 0.973145f, + 0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984375f, 0.986328f, 0.987305f, 0.988281f, + 0.989746f, 0.991211f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000240f, 0.000686f, 0.001052f, 0.001375f, 0.002308f, 0.002735f, 0.003510f, 0.004269f, + 0.005173f, 0.006649f, 0.007442f, 0.009109f, 0.011246f, 0.012886f, 0.015732f, 0.018829f, + 0.022354f, 0.026672f, 0.032867f, 0.039764f, 0.048492f, 0.060455f, 0.075806f, 0.095276f, + 0.121033f, 0.155273f, 0.199097f, 0.255859f, 0.324463f, 0.404053f, 0.488525f, 0.571289f, + 0.646484f, 0.711426f, 0.765625f, 0.808105f, 0.841797f, 0.869141f, 0.890137f, 0.907227f, + 0.920898f, 0.931641f, 0.940918f, 0.948730f, 0.955078f, 0.960449f, 0.965820f, 0.969727f, + 0.972656f, 0.976562f, 0.978516f, 0.980957f, 0.982910f, 0.984863f, 0.986328f, 0.987793f, + 0.989746f, 0.990723f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, + 0.000244f, 0.000597f, 0.000939f, 0.001369f, 0.001999f, 0.002329f, 0.003105f, 0.003786f, + 0.004395f, 0.005413f, 0.006474f, 0.007793f, 0.009254f, 0.010971f, 0.012970f, 0.015526f, + 0.018112f, 0.022049f, 0.026581f, 0.031586f, 0.038666f, 0.046967f, 0.057617f, 0.071777f, + 0.089783f, 0.113953f, 0.145264f, 0.186646f, 0.239990f, 0.305908f, 0.383301f, 0.467285f, + 0.551270f, 0.629883f, 0.697266f, 0.754883f, 0.799805f, 0.835938f, 0.864258f, 0.886719f, + 0.905273f, 0.918945f, 0.931152f, 0.940918f, 0.948242f, 0.955078f, 0.961426f, 0.965332f, + 0.969727f, 0.973633f, 0.976074f, 0.979004f, 0.980957f, 0.983398f, 0.984863f, 0.987305f, + 0.988281f, 0.989258f, 0.996094f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000000f, 0.000475f, 0.000891f, 0.001390f, 0.001730f, 0.002060f, 0.002501f, 0.003109f, + 0.003836f, 0.004837f, 0.005852f, 0.006859f, 0.007740f, 0.009216f, 0.010918f, 0.012863f, + 0.014915f, 0.017731f, 0.021317f, 0.025482f, 0.030930f, 0.037262f, 0.044891f, 0.055115f, + 0.068298f, 0.085510f, 0.107910f, 0.137207f, 0.176025f, 0.226929f, 0.289551f, 0.364746f, + 0.447998f, 0.532715f, 0.613770f, 0.685547f, 0.744629f, 0.791992f, 0.830078f, 0.860352f, + 0.884277f, 0.903320f, 0.917969f, 0.930176f, 0.939941f, 0.947754f, 0.954590f, 0.961426f, + 0.966309f, 0.970215f, 0.973145f, 0.976562f, 0.979492f, 0.981445f, 0.983398f, 0.985352f, + 0.987793f, 0.988281f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.996094f, 0.996094f, + 0.000102f, 0.000243f, 0.000844f, 0.001124f, 0.001554f, 0.002077f, 0.002098f, 0.002682f, + 0.003357f, 0.004280f, 0.005035f, 0.005764f, 0.006805f, 0.007633f, 0.009354f, 0.010872f, + 0.012665f, 0.015099f, 0.017258f, 0.020599f, 0.024887f, 0.029495f, 0.035522f, 0.042999f, + 0.053070f, 0.065125f, 0.081299f, 0.102661f, 0.130371f, 0.166992f, 0.215088f, 0.275635f, + 0.348877f, 0.431641f, 0.517578f, 0.600098f, 0.672852f, 0.735352f, 0.785645f, 0.826172f, + 0.856934f, 0.881836f, 0.900879f, 0.916992f, 0.930176f, 0.940430f, 0.947754f, 0.955078f, + 0.960938f, 0.966309f, 0.969238f, 0.973633f, 0.977051f, 0.979492f, 0.981934f, 0.983887f, + 0.986328f, 0.987793f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000241f, 0.000242f, 0.000823f, 0.000956f, 0.001225f, 0.001549f, 0.002031f, 0.002613f, + 0.003124f, 0.003574f, 0.004467f, 0.004955f, 0.005672f, 0.006752f, 0.007603f, 0.009186f, + 0.010704f, 0.012741f, 0.014366f, 0.017487f, 0.020142f, 0.024002f, 0.028915f, 0.034943f, + 0.041656f, 0.050964f, 0.062622f, 0.077881f, 0.097961f, 0.124207f, 0.158936f, 0.204590f, + 0.263184f, 0.334961f, 0.416748f, 0.502930f, 0.587891f, 0.664062f, 0.728516f, 0.780762f, + 0.822266f, 0.854492f, 0.879395f, 0.900879f, 0.916504f, 0.928711f, 0.940430f, 0.948730f, + 0.955566f, 0.961914f, 0.967285f, 0.970215f, 0.974121f, 0.977539f, 0.979980f, 0.982422f, + 0.984863f, 0.986816f, 0.994629f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000000f, 0.000473f, 0.000607f, 0.000921f, 0.000957f, 0.001448f, 0.001884f, 0.002270f, + 0.002703f, 0.002998f, 0.003862f, 0.004307f, 0.005074f, 0.005665f, 0.006737f, 0.007851f, + 0.009216f, 0.010735f, 0.012459f, 0.014572f, 0.016998f, 0.019821f, 0.023605f, 0.027969f, + 0.033783f, 0.040192f, 0.049286f, 0.060303f, 0.074829f, 0.093750f, 0.118774f, 0.152222f, + 0.195801f, 0.252441f, 0.322754f, 0.404053f, 0.491943f, 0.577637f, 0.655273f, 0.722168f, + 0.776367f, 0.820312f, 0.854004f, 0.878906f, 0.900879f, 0.916992f, 0.929688f, 0.940430f, + 0.949707f, 0.956055f, 0.962402f, 0.967285f, 0.971191f, 0.975586f, 0.978516f, 0.980957f, + 0.983398f, 0.985352f, 0.994141f, 0.995117f, 0.995117f, 0.995605f, 0.995117f, 0.995605f, + 0.000000f, 0.000444f, 0.000605f, 0.000649f, 0.000926f, 0.001096f, 0.001624f, 0.001669f, + 0.002373f, 0.002716f, 0.003231f, 0.003769f, 0.004395f, 0.005005f, 0.005878f, 0.006710f, + 0.007793f, 0.008957f, 0.010712f, 0.012230f, 0.014244f, 0.016693f, 0.019531f, 0.022827f, + 0.027100f, 0.032318f, 0.038971f, 0.047302f, 0.058105f, 0.072021f, 0.089966f, 0.114319f, + 0.146362f, 0.188965f, 0.244019f, 0.312988f, 0.394287f, 0.482178f, 0.569824f, 0.650391f, + 0.718262f, 0.774414f, 0.819336f, 0.853027f, 0.880371f, 0.900879f, 0.917969f, 0.930664f, + 0.940918f, 0.950684f, 0.957031f, 0.962891f, 0.968262f, 0.972656f, 0.976562f, 0.979004f, + 0.981934f, 0.984375f, 0.994141f, 0.994629f, 0.994629f, 0.995117f, 0.994629f, 0.995117f, + 0.000000f, 0.000336f, 0.000601f, 0.000712f, 0.000810f, 0.001174f, 0.001286f, 0.001618f, + 0.002037f, 0.002592f, 0.002920f, 0.003223f, 0.003847f, 0.004463f, 0.005119f, 0.006020f, + 0.006783f, 0.007957f, 0.008888f, 0.010590f, 0.012230f, 0.013885f, 0.016220f, 0.019318f, + 0.022278f, 0.026474f, 0.031403f, 0.037781f, 0.046021f, 0.055969f, 0.069397f, 0.086975f, + 0.110413f, 0.140991f, 0.182739f, 0.236694f, 0.304932f, 0.385986f, 0.475586f, 0.563965f, + 0.646484f, 0.716797f, 0.772461f, 0.818359f, 0.853027f, 0.880859f, 0.901855f, 0.918945f, + 0.932129f, 0.942383f, 0.951172f, 0.958496f, 0.964355f, 0.969238f, 0.973633f, 0.977051f, + 0.979980f, 0.982910f, 0.993652f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f, + 0.000000f, 0.000244f, 0.000418f, 0.000597f, 0.000600f, 0.001085f, 0.001236f, 0.001535f, + 0.001970f, 0.002096f, 0.002354f, 0.002834f, 0.003323f, 0.003822f, 0.004463f, 0.005146f, + 0.005798f, 0.006859f, 0.007587f, 0.008827f, 0.009956f, 0.011833f, 0.013725f, 0.015945f, + 0.018585f, 0.021988f, 0.025665f, 0.030807f, 0.036774f, 0.044373f, 0.054108f, 0.067383f, + 0.084229f, 0.106812f, 0.137207f, 0.177734f, 0.230835f, 0.299072f, 0.380127f, 0.470215f, + 0.560547f, 0.644531f, 0.715820f, 0.774414f, 0.820312f, 0.854980f, 0.882324f, 0.903809f, + 0.921387f, 0.933594f, 0.944824f, 0.952637f, 0.960449f, 0.965820f, 0.971191f, 0.974609f, + 0.978027f, 0.981934f, 0.993164f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, + 0.000000f, 0.000244f, 0.000411f, 0.000589f, 0.000820f, 0.000729f, 0.001086f, 0.001301f, + 0.001677f, 0.001935f, 0.002312f, 0.002678f, 0.002846f, 0.003590f, 0.003914f, 0.004578f, + 0.005020f, 0.005753f, 0.006706f, 0.007710f, 0.008911f, 0.010155f, 0.011528f, 0.013504f, + 0.015747f, 0.018036f, 0.021408f, 0.024994f, 0.029816f, 0.035858f, 0.043152f, 0.053009f, + 0.065491f, 0.082031f, 0.104065f, 0.133789f, 0.174072f, 0.226929f, 0.294434f, 0.376465f, + 0.467773f, 0.560059f, 0.644531f, 0.717285f, 0.777344f, 0.823242f, 0.857910f, 0.885742f, + 0.906738f, 0.922852f, 0.936523f, 0.947266f, 0.955078f, 0.961426f, 0.967285f, 0.972656f, + 0.976562f, 0.979980f, 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, + 0.000000f, 0.000243f, 0.000243f, 0.000442f, 0.000695f, 0.000759f, 0.000837f, 0.001089f, + 0.001625f, 0.001702f, 0.002045f, 0.002176f, 0.002756f, 0.003063f, 0.003687f, 0.003893f, + 0.004456f, 0.005337f, 0.006062f, 0.006523f, 0.007572f, 0.008430f, 0.009880f, 0.011612f, + 0.013237f, 0.015114f, 0.017487f, 0.020584f, 0.024445f, 0.028931f, 0.034729f, 0.042023f, + 0.051788f, 0.063843f, 0.079956f, 0.102295f, 0.131592f, 0.171021f, 0.223877f, 0.292236f, + 0.375000f, 0.468018f, 0.562012f, 0.648438f, 0.721191f, 0.781250f, 0.826660f, 0.862305f, + 0.888672f, 0.909668f, 0.926270f, 0.938965f, 0.949707f, 0.957520f, 0.964355f, 0.969727f, + 0.974121f, 0.978027f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, 0.993164f, 0.993164f, + 0.000000f, 0.000242f, 0.000242f, 0.000242f, 0.000564f, 0.000692f, 0.000826f, 0.001094f, + 0.001280f, 0.001457f, 0.001673f, 0.002232f, 0.002411f, 0.002789f, 0.003174f, 0.003649f, + 0.003859f, 0.004349f, 0.004990f, 0.005898f, 0.006622f, 0.007496f, 0.008209f, 0.009583f, + 0.011284f, 0.013062f, 0.014763f, 0.017120f, 0.020020f, 0.023804f, 0.028412f, 0.033905f, + 0.041016f, 0.050140f, 0.062469f, 0.078552f, 0.100159f, 0.129272f, 0.169067f, 0.222290f, + 0.291504f, 0.376465f, 0.470703f, 0.566406f, 0.653320f, 0.728027f, 0.786621f, 0.832031f, + 0.866699f, 0.893555f, 0.914062f, 0.929688f, 0.942383f, 0.952148f, 0.959961f, 0.966797f, + 0.972168f, 0.976074f, 0.991211f, 0.992188f, 0.992676f, 0.992188f, 0.992676f, 0.992676f, + 0.000241f, 0.000241f, 0.000240f, 0.000242f, 0.000486f, 0.000637f, 0.000916f, 0.000933f, + 0.001003f, 0.001284f, 0.001584f, 0.001925f, 0.002134f, 0.002502f, 0.002731f, 0.003134f, + 0.003435f, 0.004036f, 0.004379f, 0.005077f, 0.005688f, 0.006557f, 0.007347f, 0.007942f, + 0.009506f, 0.010712f, 0.012527f, 0.014603f, 0.016693f, 0.019592f, 0.023285f, 0.027512f, + 0.033173f, 0.040283f, 0.049347f, 0.061432f, 0.077271f, 0.098938f, 0.128052f, 0.168091f, + 0.222168f, 0.292725f, 0.379150f, 0.476807f, 0.573730f, 0.662598f, 0.735840f, 0.794434f, + 0.839844f, 0.873535f, 0.898926f, 0.918945f, 0.934082f, 0.945312f, 0.955566f, 0.962402f, + 0.969238f, 0.974609f, 0.990723f, 0.991699f, 0.992188f, 0.992188f, 0.992188f, 0.992188f, + 0.000000f, 0.000238f, 0.000240f, 0.000362f, 0.000362f, 0.000521f, 0.000631f, 0.000909f, + 0.000937f, 0.001249f, 0.001373f, 0.001693f, 0.001746f, 0.002184f, 0.002436f, 0.002680f, + 0.003094f, 0.003576f, 0.003828f, 0.004463f, 0.004990f, 0.005589f, 0.006439f, 0.006943f, + 0.008217f, 0.009384f, 0.010719f, 0.012184f, 0.014130f, 0.016373f, 0.019241f, 0.022675f, + 0.027161f, 0.032379f, 0.039307f, 0.048645f, 0.060455f, 0.076416f, 0.097778f, 0.127441f, + 0.168213f, 0.223633f, 0.296387f, 0.385986f, 0.485107f, 0.583984f, 0.673340f, 0.746582f, + 0.804199f, 0.848633f, 0.880371f, 0.905273f, 0.923828f, 0.938477f, 0.949707f, 0.958984f, + 0.965820f, 0.972656f, 0.990234f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, 0.991211f, + 0.000000f, 0.000234f, 0.000238f, 0.000236f, 0.000360f, 0.000482f, 0.000614f, 0.000786f, + 0.000900f, 0.001056f, 0.001336f, 0.001466f, 0.001671f, 0.001907f, 0.002333f, 0.002546f, + 0.002871f, 0.003067f, 0.003500f, 0.003813f, 0.004425f, 0.004574f, 0.005459f, 0.006092f, + 0.006660f, 0.007660f, 0.008987f, 0.010071f, 0.011841f, 0.013847f, 0.016022f, 0.018829f, + 0.022339f, 0.026779f, 0.031677f, 0.038910f, 0.047913f, 0.059601f, 0.075684f, 0.097290f, + 0.127319f, 0.169189f, 0.226807f, 0.302490f, 0.394775f, 0.497314f, 0.598633f, 0.686523f, + 0.759766f, 0.814941f, 0.857422f, 0.888672f, 0.912109f, 0.930176f, 0.943359f, 0.954102f, + 0.962402f, 0.968750f, 0.988770f, 0.990234f, 0.990234f, 0.990234f, 0.991211f, 0.990723f, + 0.000000f, 0.000036f, 0.000166f, 0.000357f, 0.000356f, 0.000478f, 0.000566f, 0.000638f, + 0.000893f, 0.001146f, 0.001242f, 0.001330f, 0.001502f, 0.001773f, 0.001918f, 0.002024f, + 0.002501f, 0.002604f, 0.003067f, 0.003334f, 0.003708f, 0.004044f, 0.004646f, 0.005268f, + 0.006241f, 0.006931f, 0.007774f, 0.008911f, 0.010277f, 0.011475f, 0.013542f, 0.015732f, + 0.018417f, 0.022049f, 0.026154f, 0.031189f, 0.038269f, 0.047119f, 0.059265f, 0.075256f, + 0.097534f, 0.128906f, 0.172119f, 0.231934f, 0.311035f, 0.407715f, 0.513184f, 0.615723f, + 0.703613f, 0.773926f, 0.827637f, 0.867188f, 0.897461f, 0.919434f, 0.936035f, 0.948730f, + 0.958984f, 0.966309f, 0.988770f, 0.989746f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, + 0.000000f, 0.000028f, 0.000093f, 0.000334f, 0.000465f, 0.000472f, 0.000373f, 0.000685f, + 0.000695f, 0.001027f, 0.001128f, 0.001155f, 0.001419f, 0.001435f, 0.001760f, 0.001850f, + 0.002241f, 0.002373f, 0.002604f, 0.002821f, 0.003334f, 0.003666f, 0.004139f, 0.004627f, + 0.005207f, 0.005886f, 0.006596f, 0.007580f, 0.008705f, 0.009911f, 0.011520f, 0.013237f, + 0.015427f, 0.017944f, 0.021423f, 0.025497f, 0.030945f, 0.037537f, 0.046692f, 0.058624f, + 0.075317f, 0.098267f, 0.130493f, 0.176025f, 0.239136f, 0.323242f, 0.424561f, 0.533691f, + 0.636230f, 0.723145f, 0.790039f, 0.841797f, 0.880371f, 0.906738f, 0.926758f, 0.941406f, + 0.953613f, 0.963379f, 0.987793f, 0.988770f, 0.988770f, 0.989258f, 0.989258f, 0.989258f, + 0.000000f, 0.000000f, 0.000047f, 0.000321f, 0.000332f, 0.000351f, 0.000470f, 0.000596f, + 0.000655f, 0.000727f, 0.001008f, 0.001112f, 0.001350f, 0.001379f, 0.001380f, 0.001751f, + 0.002008f, 0.002151f, 0.002327f, 0.002548f, 0.002691f, 0.003056f, 0.003475f, 0.003925f, + 0.004749f, 0.005161f, 0.005863f, 0.006538f, 0.007153f, 0.008453f, 0.009789f, 0.010986f, + 0.013168f, 0.015121f, 0.017563f, 0.020966f, 0.025009f, 0.030151f, 0.037048f, 0.046570f, + 0.058624f, 0.075623f, 0.099243f, 0.133667f, 0.181641f, 0.249756f, 0.338623f, 0.445312f, + 0.556641f, 0.659180f, 0.744141f, 0.808594f, 0.855957f, 0.890137f, 0.916992f, 0.934570f, + 0.949219f, 0.959473f, 0.986816f, 0.987793f, 0.987793f, 0.987793f, 0.987793f, 0.988281f, + 0.000000f, 0.000000f, 0.000000f, 0.000244f, 0.000429f, 0.000440f, 0.000348f, 0.000592f, + 0.000606f, 0.000755f, 0.000690f, 0.000935f, 0.001172f, 0.001257f, 0.001368f, 0.001458f, + 0.001786f, 0.001809f, 0.002060f, 0.002274f, 0.002478f, 0.002642f, 0.002987f, 0.003435f, + 0.003866f, 0.004337f, 0.005066f, 0.005409f, 0.006355f, 0.007111f, 0.008011f, 0.009392f, + 0.011032f, 0.012321f, 0.014717f, 0.017319f, 0.020432f, 0.024551f, 0.029953f, 0.036835f, + 0.045929f, 0.058716f, 0.076416f, 0.101562f, 0.137695f, 0.189453f, 0.262451f, 0.358154f, + 0.470215f, 0.584961f, 0.686523f, 0.767578f, 0.828125f, 0.871582f, 0.903809f, 0.926270f, + 0.941895f, 0.956055f, 0.985352f, 0.986328f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, + 0.000000f, 0.000000f, 0.000000f, 0.000119f, 0.000237f, 0.000314f, 0.000570f, 0.000575f, + 0.000583f, 0.000632f, 0.000651f, 0.000789f, 0.000947f, 0.001097f, 0.001300f, 0.001320f, + 0.001384f, 0.001443f, 0.001641f, 0.001869f, 0.002047f, 0.002396f, 0.002634f, 0.003025f, + 0.003412f, 0.003757f, 0.004238f, 0.004620f, 0.005463f, 0.006168f, 0.007072f, 0.008080f, + 0.009155f, 0.010590f, 0.012306f, 0.014175f, 0.016769f, 0.020081f, 0.023972f, 0.029495f, + 0.036560f, 0.045959f, 0.059265f, 0.078125f, 0.104797f, 0.143677f, 0.199951f, 0.279785f, + 0.382812f, 0.500977f, 0.616699f, 0.716309f, 0.791992f, 0.847168f, 0.887207f, 0.915527f, + 0.936523f, 0.950684f, 0.984375f, 0.985352f, 0.986328f, 0.985840f, 0.986328f, 0.985840f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000205f, 0.000239f, 0.000299f, 0.000537f, + 0.000574f, 0.000696f, 0.000583f, 0.000740f, 0.000778f, 0.000867f, 0.001013f, 0.001257f, + 0.001325f, 0.001277f, 0.001416f, 0.001718f, 0.001965f, 0.002079f, 0.002356f, 0.002577f, + 0.002771f, 0.003305f, 0.003693f, 0.004028f, 0.004593f, 0.005234f, 0.005905f, 0.006802f, + 0.007698f, 0.008553f, 0.009995f, 0.011635f, 0.013824f, 0.016174f, 0.019547f, 0.023544f, + 0.029114f, 0.036377f, 0.046417f, 0.060211f, 0.080017f, 0.108643f, 0.151611f, 0.213379f, + 0.301758f, 0.414062f, 0.537598f, 0.653320f, 0.748047f, 0.817871f, 0.868164f, 0.903320f, + 0.928711f, 0.945801f, 0.982910f, 0.983887f, 0.984375f, 0.984375f, 0.984863f, 0.984375f, + 0.000000f, 0.000000f, 0.000045f, 0.000105f, 0.000114f, 0.000340f, 0.000371f, 0.000501f, + 0.000639f, 0.000554f, 0.000687f, 0.000675f, 0.000711f, 0.000738f, 0.000824f, 0.001092f, + 0.001040f, 0.001185f, 0.001212f, 0.001408f, 0.001624f, 0.001813f, 0.001982f, 0.002182f, + 0.002634f, 0.002748f, 0.003252f, 0.003540f, 0.004089f, 0.004505f, 0.005001f, 0.005657f, + 0.006500f, 0.007195f, 0.008286f, 0.009750f, 0.011208f, 0.013420f, 0.015762f, 0.019226f, + 0.023209f, 0.029144f, 0.036591f, 0.047150f, 0.061615f, 0.082947f, 0.114014f, 0.161621f, + 0.231323f, 0.329834f, 0.451416f, 0.579590f, 0.692871f, 0.780273f, 0.844238f, 0.888184f, + 0.917969f, 0.939453f, 0.981445f, 0.982422f, 0.982910f, 0.982910f, 0.982910f, 0.982910f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000208f, 0.000311f, 0.000238f, 0.000337f, + 0.000524f, 0.000617f, 0.000533f, 0.000675f, 0.000665f, 0.000776f, 0.000840f, 0.000819f, + 0.000902f, 0.001169f, 0.001130f, 0.001178f, 0.001382f, 0.001571f, 0.001941f, 0.001932f, + 0.002138f, 0.002306f, 0.002586f, 0.002937f, 0.003468f, 0.003740f, 0.004292f, 0.004704f, + 0.005444f, 0.006081f, 0.007019f, 0.008255f, 0.009521f, 0.010796f, 0.012840f, 0.015503f, + 0.018784f, 0.023178f, 0.029129f, 0.036774f, 0.047699f, 0.063416f, 0.086548f, 0.121399f, + 0.175293f, 0.254883f, 0.365234f, 0.496582f, 0.626953f, 0.733398f, 0.813477f, 0.869629f, + 0.906738f, 0.933105f, 0.979980f, 0.980957f, 0.981445f, 0.981445f, 0.980957f, 0.981445f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000208f, 0.000312f, 0.000236f, + 0.000343f, 0.000475f, 0.000496f, 0.000528f, 0.000659f, 0.000582f, 0.000685f, 0.000710f, + 0.000761f, 0.000784f, 0.000941f, 0.001013f, 0.001117f, 0.001339f, 0.001500f, 0.001623f, + 0.001769f, 0.002039f, 0.002298f, 0.002565f, 0.002802f, 0.003119f, 0.003471f, 0.003857f, + 0.004658f, 0.005177f, 0.005836f, 0.006752f, 0.007324f, 0.008911f, 0.010422f, 0.012527f, + 0.015373f, 0.018585f, 0.022964f, 0.029037f, 0.037231f, 0.049072f, 0.066345f, 0.091492f, + 0.131470f, 0.193359f, 0.285645f, 0.409912f, 0.548828f, 0.676758f, 0.776367f, 0.845703f, + 0.893066f, 0.924805f, 0.978027f, 0.979492f, 0.979492f, 0.979004f, 0.979492f, 0.979492f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000166f, 0.000228f, 0.000227f, + 0.000369f, 0.000337f, 0.000368f, 0.000452f, 0.000500f, 0.000547f, 0.000543f, 0.000575f, + 0.000623f, 0.000723f, 0.000783f, 0.000874f, 0.001141f, 0.001226f, 0.001279f, 0.001336f, + 0.001499f, 0.001655f, 0.001922f, 0.002090f, 0.002453f, 0.002298f, 0.003139f, 0.003181f, + 0.003674f, 0.004166f, 0.004814f, 0.005447f, 0.006348f, 0.007179f, 0.008736f, 0.010406f, + 0.012321f, 0.014984f, 0.018219f, 0.022934f, 0.028824f, 0.037598f, 0.050476f, 0.069397f, + 0.098694f, 0.144775f, 0.218018f, 0.325439f, 0.464111f, 0.607910f, 0.729492f, 0.817383f, + 0.876953f, 0.915527f, 0.976562f, 0.977539f, 0.977539f, 0.977051f, 0.977051f, 0.977539f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000154f, 0.000200f, + 0.000267f, 0.000316f, 0.000324f, 0.000449f, 0.000319f, 0.000379f, 0.000515f, 0.000519f, + 0.000558f, 0.000628f, 0.000645f, 0.000690f, 0.000777f, 0.000940f, 0.001096f, 0.001204f, + 0.001278f, 0.001485f, 0.001670f, 0.001929f, 0.001961f, 0.002016f, 0.002367f, 0.002785f, + 0.003025f, 0.003248f, 0.003805f, 0.004539f, 0.004845f, 0.005733f, 0.006851f, 0.008278f, + 0.010017f, 0.011841f, 0.014542f, 0.017807f, 0.022705f, 0.029190f, 0.038544f, 0.052612f, + 0.073853f, 0.108093f, 0.162842f, 0.250977f, 0.377930f, 0.529785f, 0.672363f, 0.782715f, + 0.855957f, 0.904297f, 0.973145f, 0.974121f, 0.974609f, 0.975586f, 0.974609f, 0.975098f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000158f, 0.000121f, + 0.000190f, 0.000238f, 0.000397f, 0.000354f, 0.000364f, 0.000365f, 0.000440f, 0.000474f, + 0.000509f, 0.000612f, 0.000611f, 0.000648f, 0.000804f, 0.000755f, 0.000943f, 0.001050f, + 0.001221f, 0.001340f, 0.001338f, 0.001443f, 0.001635f, 0.001822f, 0.002083f, 0.002226f, + 0.002480f, 0.002682f, 0.003185f, 0.003609f, 0.003948f, 0.005074f, 0.005558f, 0.006741f, + 0.007904f, 0.009384f, 0.011360f, 0.014000f, 0.017883f, 0.022675f, 0.029648f, 0.039917f, + 0.055695f, 0.080261f, 0.120728f, 0.188354f, 0.296143f, 0.443848f, 0.603027f, 0.737793f, + 0.831055f, 0.891113f, 0.970703f, 0.971680f, 0.972168f, 0.972656f, 0.971680f, 0.972168f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, + 0.000121f, 0.000251f, 0.000260f, 0.000278f, 0.000315f, 0.000334f, 0.000235f, 0.000357f, + 0.000442f, 0.000513f, 0.000504f, 0.000598f, 0.000556f, 0.000771f, 0.000831f, 0.000886f, + 0.000977f, 0.001145f, 0.001105f, 0.001244f, 0.001281f, 0.001431f, 0.001544f, 0.001850f, + 0.001986f, 0.002131f, 0.002537f, 0.002737f, 0.003252f, 0.003826f, 0.004555f, 0.005184f, + 0.006199f, 0.007195f, 0.009041f, 0.011337f, 0.013878f, 0.017395f, 0.022552f, 0.030502f, + 0.041962f, 0.059875f, 0.089111f, 0.139404f, 0.224609f, 0.357910f, 0.524902f, 0.684082f, + 0.800781f, 0.875977f, 0.967773f, 0.968750f, 0.968262f, 0.968750f, 0.969238f, 0.969238f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000095f, 0.000081f, 0.000217f, 0.000149f, 0.000204f, 0.000212f, 0.000338f, + 0.000345f, 0.000348f, 0.000456f, 0.000463f, 0.000495f, 0.000570f, 0.000583f, 0.000748f, + 0.000799f, 0.000731f, 0.000965f, 0.001041f, 0.001071f, 0.001210f, 0.001318f, 0.001238f, + 0.001410f, 0.001631f, 0.001932f, 0.002327f, 0.002577f, 0.003057f, 0.003452f, 0.003956f, + 0.004639f, 0.005714f, 0.006817f, 0.008446f, 0.010605f, 0.013443f, 0.017319f, 0.022964f, + 0.031021f, 0.044281f, 0.065857f, 0.102112f, 0.166504f, 0.277344f, 0.439941f, 0.617188f, + 0.762207f, 0.856445f, 0.963379f, 0.964355f, 0.965332f, 0.964844f, 0.965332f, 0.965332f, + 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000121f, 0.000107f, 0.000091f, 0.000161f, 0.000119f, 0.000184f, 0.000266f, 0.000284f, + 0.000314f, 0.000319f, 0.000334f, 0.000344f, 0.000565f, 0.000455f, 0.000488f, 0.000667f, + 0.000710f, 0.000713f, 0.000787f, 0.000755f, 0.000849f, 0.000972f, 0.001097f, 0.001286f, + 0.001427f, 0.001556f, 0.001667f, 0.001687f, 0.002155f, 0.002369f, 0.002674f, 0.003086f, + 0.003710f, 0.004536f, 0.005585f, 0.006783f, 0.007957f, 0.010262f, 0.013115f, 0.017212f, + 0.023102f, 0.032715f, 0.047943f, 0.074158f, 0.121155f, 0.207520f, 0.353027f, 0.541504f, + 0.715332f, 0.834473f, 0.959473f, 0.960449f, 0.960938f, 0.960938f, 0.960938f, 0.961426f, + 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000120f, 0.000120f, 0.000103f, 0.000089f, 0.000077f, 0.000080f, 0.000121f, 0.000218f, + 0.000209f, 0.000245f, 0.000303f, 0.000316f, 0.000388f, 0.000341f, 0.000549f, 0.000594f, + 0.000604f, 0.000679f, 0.000625f, 0.000628f, 0.000795f, 0.000883f, 0.000857f, 0.000991f, + 0.001166f, 0.000955f, 0.001194f, 0.001347f, 0.001548f, 0.001804f, 0.002048f, 0.002388f, + 0.002911f, 0.003130f, 0.003933f, 0.004845f, 0.006031f, 0.007385f, 0.009705f, 0.012688f, + 0.017044f, 0.023788f, 0.034882f, 0.053284f, 0.086670f, 0.151123f, 0.271484f, 0.457031f, + 0.658203f, 0.805176f, 0.954102f, 0.955078f, 0.956055f, 0.956055f, 0.956055f, 0.955566f, + 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, + 0.000120f, 0.000120f, 0.000116f, 0.000101f, 0.000088f, 0.000077f, 0.000131f, 0.000071f, + 0.000146f, 0.000200f, 0.000237f, 0.000270f, 0.000289f, 0.000302f, 0.000311f, 0.000441f, + 0.000396f, 0.000588f, 0.000630f, 0.000570f, 0.000575f, 0.000537f, 0.000589f, 0.000750f, + 0.000721f, 0.001048f, 0.001122f, 0.000951f, 0.001243f, 0.001346f, 0.001703f, 0.001592f, + 0.001880f, 0.002340f, 0.002804f, 0.003637f, 0.004356f, 0.005329f, 0.006805f, 0.009094f, + 0.012566f, 0.017181f, 0.025040f, 0.038147f, 0.061249f, 0.107788f, 0.200195f, 0.369629f, + 0.587891f, 0.771973f, 0.948242f, 0.949707f, 0.950195f, 0.949707f, 0.950195f, 0.950195f, + 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, + 0.000120f, 0.000119f, 0.000119f, 0.000114f, 0.000101f, 0.000088f, 0.000079f, 0.000070f, + 0.000063f, 0.000136f, 0.000136f, 0.000183f, 0.000207f, 0.000277f, 0.000271f, 0.000291f, + 0.000369f, 0.000344f, 0.000494f, 0.000459f, 0.000515f, 0.000509f, 0.000532f, 0.000504f, + 0.000716f, 0.000589f, 0.000691f, 0.000902f, 0.000972f, 0.000968f, 0.001067f, 0.001483f, + 0.001780f, 0.001652f, 0.002090f, 0.002602f, 0.003113f, 0.003738f, 0.004738f, 0.006420f, + 0.008522f, 0.012100f, 0.017334f, 0.026489f, 0.042786f, 0.074524f, 0.142578f, 0.283936f, + 0.509277f, 0.729492f, 0.940918f, 0.941895f, 0.942383f, 0.942383f, 0.942383f, 0.942871f, + 0.000122f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, + 0.000119f, 0.000118f, 0.000118f, 0.000118f, 0.000116f, 0.000102f, 0.000090f, 0.000081f, + 0.000091f, 0.000066f, 0.000059f, 0.000110f, 0.000109f, 0.000155f, 0.000184f, 0.000227f, + 0.000297f, 0.000333f, 0.000355f, 0.000349f, 0.000344f, 0.000421f, 0.000459f, 0.000561f, + 0.000600f, 0.000563f, 0.000630f, 0.000563f, 0.000682f, 0.000737f, 0.000892f, 0.001037f, + 0.001026f, 0.001163f, 0.001743f, 0.001782f, 0.002117f, 0.002573f, 0.003389f, 0.004429f, + 0.005871f, 0.007942f, 0.011841f, 0.018066f, 0.029190f, 0.050842f, 0.098511f, 0.207397f, + 0.422363f, 0.677734f, 0.932129f, 0.933594f, 0.933594f, 0.934082f, 0.934082f, 0.934082f, + 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, + 0.000118f, 0.000117f, 0.000117f, 0.000117f, 0.000117f, 0.000116f, 0.000104f, 0.000093f, + 0.000084f, 0.000076f, 0.000069f, 0.000091f, 0.000057f, 0.000051f, 0.000112f, 0.000120f, + 0.000179f, 0.000232f, 0.000225f, 0.000283f, 0.000301f, 0.000308f, 0.000353f, 0.000437f, + 0.000395f, 0.000523f, 0.000486f, 0.000504f, 0.000469f, 0.000614f, 0.000581f, 0.000755f, + 0.000789f, 0.001121f, 0.000981f, 0.001218f, 0.001565f, 0.001795f, 0.002296f, 0.002958f, + 0.003866f, 0.005329f, 0.007675f, 0.011658f, 0.019043f, 0.033478f, 0.065430f, 0.144043f, + 0.331299f, 0.613770f, 0.921387f, 0.922852f, 0.923340f, 0.923340f, 0.923340f, 0.923340f, + 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, + 0.000116f, 0.000116f, 0.000115f, 0.000115f, 0.000115f, 0.000115f, 0.000114f, 0.000108f, + 0.000097f, 0.000087f, 0.000079f, 0.000072f, 0.000065f, 0.000060f, 0.000094f, 0.000050f, + 0.000104f, 0.000104f, 0.000121f, 0.000164f, 0.000195f, 0.000247f, 0.000265f, 0.000328f, + 0.000290f, 0.000355f, 0.000395f, 0.000356f, 0.000361f, 0.000459f, 0.000470f, 0.000515f, + 0.000580f, 0.000624f, 0.000751f, 0.000964f, 0.001105f, 0.001279f, 0.001413f, 0.001823f, + 0.002441f, 0.003407f, 0.004852f, 0.007210f, 0.011803f, 0.021225f, 0.041473f, 0.095032f, + 0.244019f, 0.537598f, 0.907715f, 0.910156f, 0.910156f, 0.909180f, 0.909668f, 0.911133f, + 0.000120f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000114f, 0.000114f, 0.000113f, + 0.000113f, 0.000112f, 0.000112f, 0.000112f, 0.000111f, 0.000112f, 0.000111f, 0.000111f, + 0.000111f, 0.000101f, 0.000093f, 0.000084f, 0.000077f, 0.000070f, 0.000064f, 0.000059f, + 0.000074f, 0.000079f, 0.000059f, 0.000087f, 0.000097f, 0.000128f, 0.000185f, 0.000213f, + 0.000265f, 0.000235f, 0.000239f, 0.000288f, 0.000299f, 0.000371f, 0.000341f, 0.000369f, + 0.000460f, 0.000446f, 0.000490f, 0.000602f, 0.000694f, 0.000904f, 0.001012f, 0.001234f, + 0.001544f, 0.002096f, 0.002989f, 0.004299f, 0.006840f, 0.012383f, 0.024948f, 0.059204f, + 0.166626f, 0.452637f, 0.892578f, 0.894043f, 0.894043f, 0.894531f, 0.894531f, 0.894043f, + 0.000115f, 0.000107f, 0.000108f, 0.000111f, 0.000108f, 0.000109f, 0.000108f, 0.000108f, + 0.000108f, 0.000107f, 0.000108f, 0.000107f, 0.000107f, 0.000106f, 0.000107f, 0.000107f, + 0.000106f, 0.000107f, 0.000106f, 0.000097f, 0.000090f, 0.000082f, 0.000075f, 0.000069f, + 0.000063f, 0.000058f, 0.000053f, 0.000070f, 0.000073f, 0.000085f, 0.000077f, 0.000088f, + 0.000136f, 0.000168f, 0.000190f, 0.000204f, 0.000199f, 0.000252f, 0.000233f, 0.000270f, + 0.000325f, 0.000295f, 0.000348f, 0.000383f, 0.000435f, 0.000534f, 0.000581f, 0.000803f, + 0.001004f, 0.001330f, 0.001812f, 0.002489f, 0.003944f, 0.006832f, 0.013748f, 0.033997f, + 0.104858f, 0.356689f, 0.873047f, 0.873047f, 0.875000f, 0.874023f, 0.874023f, 0.874023f, + 0.000000f, 0.000071f, 0.000063f, 0.000094f, 0.000092f, 0.000094f, 0.000093f, 0.000098f, + 0.000098f, 0.000098f, 0.000098f, 0.000099f, 0.000098f, 0.000099f, 0.000099f, 0.000099f, + 0.000099f, 0.000099f, 0.000099f, 0.000100f, 0.000100f, 0.000094f, 0.000087f, 0.000080f, + 0.000074f, 0.000068f, 0.000062f, 0.000058f, 0.000053f, 0.000049f, 0.000059f, 0.000059f, + 0.000045f, 0.000078f, 0.000082f, 0.000118f, 0.000155f, 0.000160f, 0.000174f, 0.000180f, + 0.000226f, 0.000213f, 0.000248f, 0.000258f, 0.000288f, 0.000352f, 0.000396f, 0.000465f, + 0.000566f, 0.000789f, 0.000941f, 0.001343f, 0.002199f, 0.003616f, 0.006912f, 0.017380f, + 0.058960f, 0.259521f, 0.847656f, 0.849121f, 0.850586f, 0.850098f, 0.849121f, 0.850586f, + 0.000000f, 0.000000f, 0.000019f, 0.000044f, 0.000048f, 0.000061f, 0.000071f, 0.000073f, + 0.000076f, 0.000079f, 0.000079f, 0.000082f, 0.000082f, 0.000082f, 0.000085f, 0.000086f, + 0.000087f, 0.000086f, 0.000088f, 0.000087f, 0.000089f, 0.000089f, 0.000089f, 0.000090f, + 0.000084f, 0.000078f, 0.000072f, 0.000067f, 0.000062f, 0.000057f, 0.000052f, 0.000049f, + 0.000045f, 0.000041f, 0.000038f, 0.000040f, 0.000062f, 0.000092f, 0.000100f, 0.000121f, + 0.000144f, 0.000133f, 0.000137f, 0.000170f, 0.000181f, 0.000168f, 0.000215f, 0.000286f, + 0.000327f, 0.000397f, 0.000504f, 0.000738f, 0.001039f, 0.001729f, 0.003317f, 0.007721f, + 0.028458f, 0.166626f, 0.815430f, 0.818359f, 0.818359f, 0.817383f, 0.818848f, 0.818359f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000008f, + 0.000016f, 0.000031f, 0.000035f, 0.000048f, 0.000050f, 0.000053f, 0.000058f, 0.000059f, + 0.000063f, 0.000064f, 0.000067f, 0.000067f, 0.000070f, 0.000071f, 0.000072f, 0.000073f, + 0.000075f, 0.000075f, 0.000076f, 0.000075f, 0.000069f, 0.000064f, 0.000060f, 0.000055f, + 0.000051f, 0.000047f, 0.000043f, 0.000040f, 0.000037f, 0.000034f, 0.000040f, 0.000041f, + 0.000054f, 0.000069f, 0.000096f, 0.000111f, 0.000109f, 0.000113f, 0.000142f, 0.000136f, + 0.000158f, 0.000196f, 0.000237f, 0.000349f, 0.000423f, 0.000744f, 0.001380f, 0.003214f, + 0.011124f, 0.088135f, 0.777344f, 0.779297f, 0.780273f, 0.779785f, 0.779785f, 0.779785f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000007f, + 0.000021f, 0.000023f, 0.000031f, 0.000034f, 0.000038f, 0.000041f, 0.000043f, 0.000047f, + 0.000049f, 0.000050f, 0.000053f, 0.000055f, 0.000056f, 0.000057f, 0.000059f, 0.000060f, + 0.000055f, 0.000051f, 0.000048f, 0.000044f, 0.000041f, 0.000038f, 0.000035f, 0.000032f, + 0.000029f, 0.000028f, 0.000028f, 0.000037f, 0.000044f, 0.000064f, 0.000078f, 0.000072f, + 0.000089f, 0.000098f, 0.000104f, 0.000146f, 0.000200f, 0.000272f, 0.000479f, 0.001077f, + 0.003733f, 0.033752f, 0.729492f, 0.730957f, 0.732422f, 0.731934f, 0.732422f, 0.732422f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, + 0.000006f, 0.000009f, 0.000013f, 0.000019f, 0.000021f, 0.000025f, 0.000027f, 0.000030f, + 0.000033f, 0.000034f, 0.000037f, 0.000039f, 0.000041f, 0.000039f, 0.000036f, 0.000033f, + 0.000031f, 0.000028f, 0.000026f, 0.000024f, 0.000021f, 0.000019f, 0.000017f, 0.000023f, + 0.000033f, 0.000041f, 0.000043f, 0.000058f, 0.000061f, 0.000081f, 0.000121f, 0.000248f, + 0.000821f, 0.008255f, 0.673340f, 0.674805f, 0.674316f, 0.674805f, 0.674805f, 0.673828f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000006f, 0.000010f, 0.000013f, + 0.000015f, 0.000017f, 0.000020f, 0.000022f, 0.000021f, 0.000019f, 0.000017f, 0.000015f, + 0.000013f, 0.000012f, 0.000010f, 0.000011f, 0.000016f, 0.000019f, 0.000019f, 0.000036f, + 0.000090f, 0.000897f, 0.606934f, 0.609863f, 0.609375f, 0.609863f, 0.609863f, 0.610352f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000001f, 0.000003f, 0.000006f, 0.000005f, 0.000004f, 0.000003f, + 0.000004f, 0.000008f, 0.534668f, 0.536621f, 0.537109f, 0.537109f, 0.536621f, 0.536621f, + }, + { + 0.149292f, 0.432373f, 0.614258f, 0.719238f, 0.784180f, 0.826660f, 0.856934f, 0.879883f, + 0.896484f, 0.909180f, 0.919922f, 0.928711f, 0.936035f, 0.942383f, 0.947266f, 0.952148f, + 0.956055f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.970703f, 0.972656f, 0.974609f, + 0.976562f, 0.978027f, 0.979492f, 0.980469f, 0.981934f, 0.983398f, 0.984863f, 0.985352f, + 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.989746f, 0.990234f, 0.990723f, 0.991699f, + 0.992676f, 0.993164f, 0.993652f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, + 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.998047f, 0.998047f, 0.998535f, 0.998535f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, + 0.040161f, 0.161255f, 0.324951f, 0.486572f, 0.612305f, 0.704590f, 0.767090f, 0.811523f, + 0.844238f, 0.868652f, 0.887695f, 0.902344f, 0.913574f, 0.924316f, 0.932129f, 0.937988f, + 0.944336f, 0.949707f, 0.954102f, 0.957520f, 0.960938f, 0.964355f, 0.966797f, 0.969727f, + 0.971191f, 0.973633f, 0.975586f, 0.977539f, 0.979004f, 0.980469f, 0.981445f, 0.982910f, + 0.983887f, 0.985352f, 0.985840f, 0.987305f, 0.987793f, 0.988770f, 0.989258f, 0.990234f, + 0.991211f, 0.992188f, 0.992676f, 0.993164f, 0.993164f, 0.993652f, 0.994141f, 0.995117f, + 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, 0.998047f, 0.998535f, + 0.999023f, 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, + 0.017395f, 0.068542f, 0.149292f, 0.262451f, 0.392822f, 0.518066f, 0.621582f, 0.700195f, + 0.759766f, 0.803711f, 0.836426f, 0.862305f, 0.880859f, 0.896484f, 0.909668f, 0.919434f, + 0.929199f, 0.935547f, 0.941895f, 0.947754f, 0.952637f, 0.956055f, 0.959961f, 0.963867f, + 0.965820f, 0.968750f, 0.970703f, 0.973145f, 0.975098f, 0.977051f, 0.979004f, 0.979980f, + 0.981934f, 0.983398f, 0.983887f, 0.984863f, 0.985840f, 0.986816f, 0.987793f, 0.989258f, + 0.989746f, 0.990234f, 0.991211f, 0.991699f, 0.992188f, 0.992676f, 0.993652f, 0.994141f, + 0.994629f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.997559f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, + 0.009125f, 0.035492f, 0.075806f, 0.135864f, 0.219971f, 0.324707f, 0.437012f, 0.543457f, + 0.633789f, 0.704102f, 0.758789f, 0.802246f, 0.833496f, 0.857910f, 0.878418f, 0.894043f, + 0.906738f, 0.917480f, 0.925781f, 0.933594f, 0.940918f, 0.946777f, 0.951172f, 0.954590f, + 0.959473f, 0.962891f, 0.965820f, 0.968262f, 0.971191f, 0.973145f, 0.975098f, 0.976562f, + 0.978516f, 0.979980f, 0.981445f, 0.982422f, 0.983887f, 0.985840f, 0.986328f, 0.987305f, + 0.988281f, 0.988770f, 0.989746f, 0.990234f, 0.991699f, 0.992188f, 0.992676f, 0.993652f, + 0.994141f, 0.994629f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996582f, 0.997559f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.005848f, 0.021225f, 0.043640f, 0.076782f, 0.124084f, 0.189575f, 0.274414f, 0.372559f, + 0.473633f, 0.567383f, 0.646973f, 0.711426f, 0.761230f, 0.801758f, 0.833496f, 0.857422f, + 0.876953f, 0.893066f, 0.905273f, 0.916504f, 0.925293f, 0.932617f, 0.939941f, 0.945801f, + 0.950684f, 0.955566f, 0.958984f, 0.962402f, 0.965820f, 0.968262f, 0.970703f, 0.972656f, + 0.975098f, 0.977051f, 0.978516f, 0.980469f, 0.981934f, 0.982422f, 0.983887f, 0.985840f, + 0.986328f, 0.987305f, 0.988281f, 0.989258f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, + 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.995117f, 0.996094f, 0.996094f, 0.997070f, + 0.997559f, 0.997559f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, + 0.003937f, 0.014107f, 0.027664f, 0.047211f, 0.075195f, 0.113953f, 0.166748f, 0.236328f, + 0.320312f, 0.412354f, 0.504395f, 0.589844f, 0.661621f, 0.719727f, 0.768066f, 0.805664f, + 0.834961f, 0.858398f, 0.877441f, 0.893066f, 0.906738f, 0.916992f, 0.926270f, 0.933105f, + 0.940430f, 0.946289f, 0.951172f, 0.955566f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, + 0.970703f, 0.973145f, 0.975098f, 0.977051f, 0.979004f, 0.980469f, 0.981934f, 0.983398f, + 0.984375f, 0.985840f, 0.986328f, 0.987305f, 0.988770f, 0.989746f, 0.990723f, 0.991211f, + 0.992188f, 0.992676f, 0.993652f, 0.994629f, 0.994629f, 0.995117f, 0.995605f, 0.995605f, + 0.996582f, 0.997070f, 0.998535f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, + 0.002962f, 0.009674f, 0.019348f, 0.031708f, 0.049255f, 0.072754f, 0.105164f, 0.149048f, + 0.206665f, 0.278076f, 0.361572f, 0.448730f, 0.534668f, 0.611816f, 0.677734f, 0.730957f, + 0.775879f, 0.809570f, 0.837891f, 0.861328f, 0.879395f, 0.894531f, 0.907227f, 0.916992f, + 0.926270f, 0.934082f, 0.940918f, 0.946289f, 0.951172f, 0.956055f, 0.959473f, 0.962891f, + 0.966797f, 0.969238f, 0.971191f, 0.973633f, 0.976074f, 0.977539f, 0.979492f, 0.980957f, + 0.982422f, 0.983398f, 0.984863f, 0.986328f, 0.986816f, 0.988281f, 0.989746f, 0.989746f, + 0.991211f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.994629f, 0.995605f, + 0.996094f, 0.997070f, 0.998535f, 0.999023f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.001900f, 0.007225f, 0.013733f, 0.022552f, 0.033661f, 0.049164f, 0.070374f, 0.097534f, + 0.135132f, 0.183350f, 0.244507f, 0.317871f, 0.400146f, 0.483643f, 0.562988f, 0.633301f, + 0.693848f, 0.743652f, 0.784180f, 0.816895f, 0.842773f, 0.865234f, 0.882812f, 0.896973f, + 0.908691f, 0.919434f, 0.927734f, 0.935547f, 0.942383f, 0.947266f, 0.952637f, 0.957031f, + 0.960938f, 0.964355f, 0.967285f, 0.969727f, 0.971680f, 0.974609f, 0.976074f, 0.978027f, + 0.979980f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.988281f, 0.988770f, + 0.989746f, 0.990723f, 0.991699f, 0.992188f, 0.993164f, 0.993652f, 0.994629f, 0.995117f, + 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, + 0.001921f, 0.005543f, 0.010223f, 0.016312f, 0.024918f, 0.035217f, 0.049164f, 0.067017f, + 0.091125f, 0.122986f, 0.164673f, 0.217896f, 0.282471f, 0.356934f, 0.436768f, 0.516602f, + 0.590820f, 0.656250f, 0.711426f, 0.757812f, 0.794922f, 0.825684f, 0.850098f, 0.870605f, + 0.885742f, 0.900879f, 0.912109f, 0.921387f, 0.929688f, 0.937500f, 0.943848f, 0.949219f, + 0.953125f, 0.958496f, 0.961426f, 0.964844f, 0.967773f, 0.970703f, 0.973145f, 0.975098f, + 0.977539f, 0.979004f, 0.980957f, 0.982422f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, + 0.988770f, 0.989258f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.993652f, 0.994141f, + 0.994629f, 0.995117f, 0.998047f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, + 0.001360f, 0.004257f, 0.007988f, 0.013092f, 0.018753f, 0.026352f, 0.035645f, 0.048096f, + 0.064270f, 0.085449f, 0.113770f, 0.149292f, 0.195190f, 0.251953f, 0.320557f, 0.395020f, + 0.474121f, 0.549316f, 0.618652f, 0.678223f, 0.729492f, 0.770996f, 0.805176f, 0.833496f, + 0.855957f, 0.875977f, 0.891113f, 0.904785f, 0.915039f, 0.924316f, 0.933105f, 0.939453f, + 0.945312f, 0.950684f, 0.955078f, 0.959473f, 0.962891f, 0.966309f, 0.969727f, 0.972168f, + 0.974121f, 0.976562f, 0.978516f, 0.979980f, 0.981934f, 0.983398f, 0.984375f, 0.986328f, + 0.986816f, 0.988281f, 0.989746f, 0.990234f, 0.991699f, 0.992188f, 0.992676f, 0.994141f, + 0.994141f, 0.994629f, 0.998047f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, + 0.001075f, 0.003492f, 0.006275f, 0.010223f, 0.014473f, 0.019821f, 0.026581f, 0.035492f, + 0.046967f, 0.061829f, 0.080750f, 0.105164f, 0.136475f, 0.177246f, 0.227783f, 0.288818f, + 0.358154f, 0.433594f, 0.509277f, 0.581543f, 0.645508f, 0.701172f, 0.747070f, 0.783691f, + 0.817383f, 0.842773f, 0.864258f, 0.881836f, 0.896484f, 0.908691f, 0.918945f, 0.928223f, + 0.935547f, 0.941895f, 0.948730f, 0.952637f, 0.957031f, 0.962402f, 0.964844f, 0.967773f, + 0.970703f, 0.973633f, 0.975586f, 0.977539f, 0.979492f, 0.981445f, 0.982910f, 0.984375f, + 0.985840f, 0.986816f, 0.988281f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, 0.992676f, + 0.993164f, 0.994141f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.997559f, 0.998047f, + 0.000967f, 0.002928f, 0.005283f, 0.007759f, 0.011612f, 0.015823f, 0.020966f, 0.027802f, + 0.035461f, 0.045959f, 0.059235f, 0.075928f, 0.097778f, 0.126099f, 0.162598f, 0.207153f, + 0.261963f, 0.326416f, 0.398193f, 0.471680f, 0.543945f, 0.612305f, 0.671875f, 0.722656f, + 0.765137f, 0.799805f, 0.828125f, 0.854004f, 0.872070f, 0.888184f, 0.902344f, 0.914062f, + 0.923340f, 0.931641f, 0.938965f, 0.945312f, 0.950684f, 0.955566f, 0.958984f, 0.962891f, + 0.966309f, 0.969727f, 0.972168f, 0.974609f, 0.977051f, 0.978516f, 0.980469f, 0.982422f, + 0.984375f, 0.985352f, 0.987305f, 0.987793f, 0.988770f, 0.990234f, 0.991211f, 0.992188f, + 0.992676f, 0.993164f, 0.997559f, 0.997559f, 0.997559f, 0.998047f, 0.997559f, 0.998047f, + 0.000602f, 0.002605f, 0.004345f, 0.006706f, 0.009590f, 0.012650f, 0.016617f, 0.021423f, + 0.027893f, 0.035004f, 0.044495f, 0.056610f, 0.072327f, 0.092285f, 0.116821f, 0.148926f, + 0.189697f, 0.238892f, 0.298340f, 0.365723f, 0.437988f, 0.511230f, 0.579590f, 0.642090f, + 0.698242f, 0.744141f, 0.781738f, 0.814453f, 0.840332f, 0.861816f, 0.880371f, 0.895996f, + 0.907715f, 0.918945f, 0.928223f, 0.935547f, 0.942871f, 0.948730f, 0.953125f, 0.958008f, + 0.961914f, 0.965332f, 0.968750f, 0.971680f, 0.973633f, 0.976562f, 0.978516f, 0.979980f, + 0.981934f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, + 0.991699f, 0.992676f, 0.997070f, 0.997559f, 0.997559f, 0.997070f, 0.997070f, 0.997070f, + 0.000607f, 0.001955f, 0.003616f, 0.005772f, 0.007656f, 0.010269f, 0.013496f, 0.017273f, + 0.022018f, 0.027466f, 0.034729f, 0.043488f, 0.054932f, 0.068359f, 0.086365f, 0.108765f, + 0.137939f, 0.174316f, 0.219360f, 0.273926f, 0.336670f, 0.406494f, 0.478516f, 0.549316f, + 0.614746f, 0.673340f, 0.722656f, 0.765137f, 0.800293f, 0.828125f, 0.853516f, 0.872070f, + 0.888672f, 0.902832f, 0.914551f, 0.924316f, 0.932129f, 0.940430f, 0.946289f, 0.951660f, + 0.956055f, 0.960449f, 0.964355f, 0.967773f, 0.970703f, 0.972656f, 0.975586f, 0.978027f, + 0.980469f, 0.981934f, 0.983398f, 0.985352f, 0.986328f, 0.988281f, 0.988770f, 0.990234f, + 0.990723f, 0.992188f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000600f, 0.001813f, 0.003101f, 0.004559f, 0.006580f, 0.008873f, 0.011047f, 0.014091f, + 0.017639f, 0.022049f, 0.027557f, 0.033997f, 0.042297f, 0.052704f, 0.065369f, 0.081238f, + 0.101929f, 0.127930f, 0.161255f, 0.202515f, 0.252686f, 0.311523f, 0.378174f, 0.449707f, + 0.519531f, 0.587891f, 0.647949f, 0.701660f, 0.746582f, 0.784668f, 0.817383f, 0.843262f, + 0.864746f, 0.882324f, 0.896973f, 0.910156f, 0.920898f, 0.929688f, 0.937012f, 0.943848f, + 0.949707f, 0.955078f, 0.959473f, 0.963379f, 0.966797f, 0.970215f, 0.973145f, 0.975098f, + 0.978027f, 0.980469f, 0.982422f, 0.983887f, 0.984863f, 0.986328f, 0.987793f, 0.988770f, + 0.989746f, 0.991211f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.000604f, 0.001429f, 0.002676f, 0.003708f, 0.005745f, 0.006973f, 0.009270f, 0.011452f, + 0.014503f, 0.018295f, 0.022369f, 0.027222f, 0.033417f, 0.040833f, 0.050171f, 0.062744f, + 0.077454f, 0.095886f, 0.119995f, 0.150391f, 0.187622f, 0.234253f, 0.289307f, 0.353027f, + 0.421631f, 0.492676f, 0.561523f, 0.625488f, 0.681152f, 0.730469f, 0.770996f, 0.806152f, + 0.833984f, 0.857422f, 0.876465f, 0.893066f, 0.906250f, 0.916992f, 0.926758f, 0.935059f, + 0.942871f, 0.948242f, 0.954102f, 0.958496f, 0.962891f, 0.966309f, 0.969727f, 0.972168f, + 0.975098f, 0.977539f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, + 0.989258f, 0.990234f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000365f, 0.001367f, 0.002123f, 0.003353f, 0.004692f, 0.006054f, 0.007675f, 0.009819f, + 0.012314f, 0.014862f, 0.018066f, 0.022064f, 0.026901f, 0.032471f, 0.039764f, 0.048584f, + 0.060089f, 0.073730f, 0.090698f, 0.112854f, 0.140381f, 0.175415f, 0.218018f, 0.269775f, + 0.329834f, 0.396240f, 0.467285f, 0.537598f, 0.603516f, 0.662109f, 0.712891f, 0.757324f, + 0.793945f, 0.823730f, 0.849121f, 0.869629f, 0.887695f, 0.902344f, 0.914062f, 0.924805f, + 0.932129f, 0.940430f, 0.947266f, 0.952148f, 0.957031f, 0.962402f, 0.966309f, 0.969238f, + 0.972656f, 0.975586f, 0.977051f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, + 0.988281f, 0.988770f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000356f, 0.001341f, 0.001913f, 0.002897f, 0.003983f, 0.005322f, 0.006607f, 0.008514f, + 0.010399f, 0.012451f, 0.015282f, 0.018356f, 0.021912f, 0.026443f, 0.031982f, 0.038635f, + 0.047150f, 0.057495f, 0.070007f, 0.086609f, 0.106689f, 0.131714f, 0.164429f, 0.203613f, + 0.252441f, 0.310059f, 0.374512f, 0.444092f, 0.514160f, 0.582031f, 0.643066f, 0.697266f, + 0.743652f, 0.783691f, 0.814941f, 0.842773f, 0.865234f, 0.882812f, 0.897949f, 0.910645f, + 0.922363f, 0.931152f, 0.938965f, 0.945801f, 0.952148f, 0.957520f, 0.961426f, 0.965820f, + 0.969727f, 0.972168f, 0.975098f, 0.977539f, 0.979980f, 0.981934f, 0.983887f, 0.985352f, + 0.986816f, 0.988281f, 0.995117f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000243f, 0.000937f, 0.001662f, 0.002617f, 0.003527f, 0.004555f, 0.005642f, 0.007217f, + 0.008820f, 0.010483f, 0.012383f, 0.015175f, 0.018341f, 0.022049f, 0.026245f, 0.031067f, + 0.037903f, 0.045563f, 0.054962f, 0.066956f, 0.082092f, 0.101074f, 0.124939f, 0.154663f, + 0.191528f, 0.237305f, 0.291992f, 0.354492f, 0.422852f, 0.492676f, 0.562012f, 0.625488f, + 0.682617f, 0.731934f, 0.772949f, 0.807129f, 0.835449f, 0.859863f, 0.878906f, 0.895020f, + 0.908203f, 0.920898f, 0.929199f, 0.937988f, 0.945312f, 0.951660f, 0.957031f, 0.961914f, + 0.965332f, 0.968750f, 0.972656f, 0.975098f, 0.977539f, 0.979980f, 0.982422f, 0.983887f, + 0.986328f, 0.987793f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000362f, 0.000970f, 0.001489f, 0.002251f, 0.002892f, 0.003727f, 0.004978f, 0.006264f, + 0.007530f, 0.009125f, 0.010551f, 0.012756f, 0.015259f, 0.018097f, 0.021637f, 0.025986f, + 0.030594f, 0.036804f, 0.044006f, 0.053162f, 0.064148f, 0.078003f, 0.096130f, 0.118042f, + 0.146118f, 0.181030f, 0.224487f, 0.276123f, 0.336670f, 0.403320f, 0.473633f, 0.543457f, + 0.609375f, 0.667480f, 0.719238f, 0.763184f, 0.799316f, 0.829590f, 0.854492f, 0.875488f, + 0.892578f, 0.906738f, 0.918945f, 0.928711f, 0.937012f, 0.944336f, 0.951172f, 0.956543f, + 0.961426f, 0.965820f, 0.968750f, 0.972656f, 0.975098f, 0.978027f, 0.980469f, 0.982910f, + 0.984375f, 0.985840f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, 0.995117f, + 0.000346f, 0.000923f, 0.001273f, 0.002010f, 0.002619f, 0.003689f, 0.004452f, 0.005177f, + 0.006290f, 0.007561f, 0.009033f, 0.010902f, 0.012970f, 0.015495f, 0.018280f, 0.021576f, + 0.024948f, 0.030304f, 0.035400f, 0.042480f, 0.051086f, 0.061401f, 0.074890f, 0.091187f, + 0.112427f, 0.138794f, 0.171631f, 0.212158f, 0.262451f, 0.320557f, 0.385986f, 0.456055f, + 0.525391f, 0.593262f, 0.654297f, 0.708984f, 0.754883f, 0.792969f, 0.824707f, 0.850098f, + 0.872070f, 0.890137f, 0.904785f, 0.917480f, 0.927734f, 0.937012f, 0.944336f, 0.951172f, + 0.956055f, 0.961914f, 0.966309f, 0.969727f, 0.973145f, 0.976074f, 0.978516f, 0.980469f, + 0.982910f, 0.984863f, 0.993652f, 0.995117f, 0.994629f, 0.994629f, 0.994629f, 0.994629f, + 0.000242f, 0.000666f, 0.001081f, 0.001806f, 0.002512f, 0.003397f, 0.003866f, 0.004894f, + 0.005566f, 0.006859f, 0.007957f, 0.009506f, 0.011009f, 0.013046f, 0.015266f, 0.018173f, + 0.021027f, 0.024811f, 0.029526f, 0.034790f, 0.041443f, 0.049835f, 0.059265f, 0.071899f, + 0.087769f, 0.107422f, 0.132202f, 0.163208f, 0.201782f, 0.249512f, 0.305908f, 0.370361f, + 0.440430f, 0.511230f, 0.578613f, 0.642090f, 0.698730f, 0.746582f, 0.787109f, 0.819824f, + 0.848145f, 0.869141f, 0.888672f, 0.903809f, 0.916992f, 0.927246f, 0.936523f, 0.943848f, + 0.951660f, 0.957031f, 0.961426f, 0.965820f, 0.970215f, 0.973145f, 0.976074f, 0.979004f, + 0.981445f, 0.983398f, 0.994141f, 0.994141f, 0.994629f, 0.994141f, 0.994629f, 0.994141f, + 0.000242f, 0.000709f, 0.000917f, 0.001194f, 0.002018f, 0.002634f, 0.003504f, 0.003918f, + 0.005020f, 0.005726f, 0.006935f, 0.008141f, 0.009666f, 0.011040f, 0.012848f, 0.014961f, + 0.017624f, 0.020660f, 0.024368f, 0.028381f, 0.033905f, 0.040283f, 0.047760f, 0.057312f, + 0.069214f, 0.083984f, 0.102539f, 0.126221f, 0.155640f, 0.193359f, 0.238892f, 0.293701f, + 0.356689f, 0.425537f, 0.497070f, 0.568359f, 0.632812f, 0.690918f, 0.739746f, 0.782227f, + 0.816406f, 0.845703f, 0.868652f, 0.887695f, 0.903320f, 0.916992f, 0.927734f, 0.937012f, + 0.944824f, 0.951660f, 0.957031f, 0.962891f, 0.966797f, 0.971191f, 0.973633f, 0.976562f, + 0.979492f, 0.981934f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.994141f, + 0.000244f, 0.000660f, 0.000918f, 0.001343f, 0.002117f, 0.002407f, 0.002779f, 0.003626f, + 0.004246f, 0.005207f, 0.005913f, 0.007145f, 0.008163f, 0.009438f, 0.011101f, 0.012871f, + 0.014999f, 0.017426f, 0.020096f, 0.024185f, 0.027725f, 0.032623f, 0.038910f, 0.046387f, + 0.055298f, 0.066467f, 0.080627f, 0.098328f, 0.120972f, 0.149658f, 0.184814f, 0.229492f, + 0.282715f, 0.344727f, 0.414062f, 0.486084f, 0.556641f, 0.624023f, 0.683594f, 0.735352f, + 0.778320f, 0.814453f, 0.843750f, 0.867188f, 0.887207f, 0.903320f, 0.916504f, 0.928223f, + 0.937500f, 0.945312f, 0.953125f, 0.958008f, 0.964355f, 0.967285f, 0.971680f, 0.975098f, + 0.978516f, 0.980957f, 0.992676f, 0.993652f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, + 0.000200f, 0.000480f, 0.000808f, 0.001303f, 0.001680f, 0.002104f, 0.002510f, 0.002934f, + 0.003468f, 0.004429f, 0.005539f, 0.006046f, 0.006889f, 0.008438f, 0.009415f, 0.011108f, + 0.012787f, 0.014572f, 0.017517f, 0.020279f, 0.023483f, 0.027359f, 0.031860f, 0.037964f, + 0.045227f, 0.053711f, 0.064148f, 0.077759f, 0.095093f, 0.116272f, 0.143311f, 0.177856f, + 0.221191f, 0.273193f, 0.334473f, 0.403320f, 0.476318f, 0.548828f, 0.617188f, 0.677734f, + 0.730957f, 0.775879f, 0.812500f, 0.842285f, 0.866699f, 0.887695f, 0.903809f, 0.916992f, + 0.928711f, 0.938477f, 0.946777f, 0.953125f, 0.959473f, 0.963867f, 0.968750f, 0.972656f, + 0.976074f, 0.979004f, 0.992188f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, 0.993164f, + 0.000243f, 0.000469f, 0.000878f, 0.001158f, 0.001382f, 0.001801f, 0.002220f, 0.002699f, + 0.003273f, 0.004063f, 0.004715f, 0.005447f, 0.005917f, 0.007099f, 0.008385f, 0.009521f, + 0.011032f, 0.012627f, 0.014870f, 0.016922f, 0.019836f, 0.023010f, 0.026642f, 0.031174f, + 0.036926f, 0.043549f, 0.051941f, 0.062561f, 0.075317f, 0.091553f, 0.112427f, 0.138428f, + 0.172485f, 0.213867f, 0.265381f, 0.326172f, 0.394775f, 0.467773f, 0.541504f, 0.610840f, + 0.673340f, 0.728516f, 0.774414f, 0.812012f, 0.842773f, 0.867676f, 0.887695f, 0.904297f, + 0.918457f, 0.929688f, 0.939453f, 0.948242f, 0.955078f, 0.959961f, 0.965820f, 0.970215f, + 0.974121f, 0.977051f, 0.991211f, 0.993164f, 0.993164f, 0.992188f, 0.993164f, 0.992188f, + 0.000000f, 0.000242f, 0.000799f, 0.000998f, 0.001273f, 0.001671f, 0.002069f, 0.002485f, + 0.003212f, 0.003578f, 0.003948f, 0.004559f, 0.005524f, 0.006321f, 0.007046f, 0.008438f, + 0.009438f, 0.010986f, 0.012390f, 0.014320f, 0.016663f, 0.019165f, 0.022476f, 0.025833f, + 0.030487f, 0.035675f, 0.042358f, 0.050018f, 0.060211f, 0.072693f, 0.088379f, 0.108948f, + 0.134766f, 0.166626f, 0.208008f, 0.258545f, 0.318848f, 0.387451f, 0.461670f, 0.536621f, + 0.606934f, 0.671387f, 0.727539f, 0.773438f, 0.811523f, 0.843750f, 0.868164f, 0.889160f, + 0.906250f, 0.920410f, 0.932617f, 0.941895f, 0.949707f, 0.956055f, 0.962402f, 0.967285f, + 0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.992188f, 0.992188f, 0.991699f, + 0.000237f, 0.000482f, 0.000772f, 0.000877f, 0.001109f, 0.001494f, 0.001991f, 0.002041f, + 0.002537f, 0.002975f, 0.003469f, 0.004128f, 0.004841f, 0.005550f, 0.006306f, 0.007359f, + 0.008369f, 0.009415f, 0.010788f, 0.012306f, 0.014160f, 0.016571f, 0.018921f, 0.021896f, + 0.025497f, 0.029587f, 0.034576f, 0.041260f, 0.049011f, 0.058319f, 0.070557f, 0.086060f, + 0.105774f, 0.130737f, 0.162720f, 0.203247f, 0.252930f, 0.313477f, 0.382568f, 0.457275f, + 0.532715f, 0.605469f, 0.671387f, 0.728027f, 0.774902f, 0.814453f, 0.844727f, 0.870605f, + 0.891113f, 0.909180f, 0.922852f, 0.934082f, 0.943359f, 0.951660f, 0.958008f, 0.964355f, + 0.968750f, 0.973145f, 0.990234f, 0.990723f, 0.991699f, 0.991211f, 0.991211f, 0.991211f, + 0.000235f, 0.000461f, 0.000484f, 0.000891f, 0.001105f, 0.001346f, 0.001634f, 0.001936f, + 0.002438f, 0.002874f, 0.003353f, 0.003925f, 0.004189f, 0.004887f, 0.005684f, 0.006279f, + 0.007298f, 0.008339f, 0.009384f, 0.010674f, 0.012360f, 0.013901f, 0.016113f, 0.018677f, + 0.021469f, 0.024841f, 0.029144f, 0.033783f, 0.039948f, 0.047272f, 0.056915f, 0.068726f, + 0.083801f, 0.102905f, 0.127563f, 0.159058f, 0.199341f, 0.248901f, 0.309570f, 0.379395f, + 0.454834f, 0.532715f, 0.606934f, 0.672852f, 0.729980f, 0.778320f, 0.817383f, 0.849121f, + 0.874512f, 0.895020f, 0.911621f, 0.924805f, 0.937012f, 0.946289f, 0.954102f, 0.960938f, + 0.965820f, 0.971191f, 0.989258f, 0.990234f, 0.990723f, 0.991211f, 0.990723f, 0.990723f, + 0.000000f, 0.000360f, 0.000477f, 0.000756f, 0.000896f, 0.001065f, 0.001570f, 0.001622f, + 0.002064f, 0.002525f, 0.002819f, 0.003004f, 0.003700f, 0.004356f, 0.005077f, 0.005428f, + 0.006283f, 0.007370f, 0.008339f, 0.009323f, 0.010567f, 0.012070f, 0.013672f, 0.015839f, + 0.018066f, 0.020844f, 0.024002f, 0.028183f, 0.033051f, 0.039246f, 0.046417f, 0.055450f, + 0.067200f, 0.082031f, 0.100586f, 0.125122f, 0.156250f, 0.196167f, 0.245972f, 0.307129f, + 0.378174f, 0.454834f, 0.533203f, 0.608398f, 0.675781f, 0.734375f, 0.782715f, 0.821777f, + 0.853516f, 0.878906f, 0.898926f, 0.915039f, 0.929199f, 0.939941f, 0.948730f, 0.956055f, + 0.963379f, 0.968262f, 0.988770f, 0.989746f, 0.990234f, 0.989746f, 0.989746f, 0.990234f, + 0.000000f, 0.000256f, 0.000467f, 0.000590f, 0.000772f, 0.001095f, 0.001356f, 0.001781f, + 0.001984f, 0.002161f, 0.002546f, 0.002956f, 0.003338f, 0.003899f, 0.004440f, 0.004986f, + 0.005486f, 0.006310f, 0.006969f, 0.008148f, 0.009148f, 0.010284f, 0.011902f, 0.013573f, + 0.015465f, 0.017853f, 0.020340f, 0.023590f, 0.027298f, 0.032227f, 0.038208f, 0.045563f, + 0.054047f, 0.065796f, 0.080322f, 0.098999f, 0.122864f, 0.153809f, 0.193970f, 0.244629f, + 0.306396f, 0.378662f, 0.457031f, 0.536621f, 0.613770f, 0.681641f, 0.740723f, 0.788574f, + 0.827637f, 0.858398f, 0.884277f, 0.903320f, 0.919922f, 0.932129f, 0.942871f, 0.951660f, + 0.959961f, 0.965820f, 0.987305f, 0.988281f, 0.989258f, 0.989258f, 0.989258f, 0.989258f, + 0.000244f, 0.000243f, 0.000583f, 0.000585f, 0.000822f, 0.001073f, 0.001159f, 0.001452f, + 0.001525f, 0.002001f, 0.002201f, 0.002714f, 0.002932f, 0.003525f, 0.003904f, 0.004482f, + 0.004997f, 0.005581f, 0.006233f, 0.006954f, 0.007820f, 0.008949f, 0.009941f, 0.011482f, + 0.013168f, 0.015099f, 0.017151f, 0.020111f, 0.022949f, 0.026947f, 0.031647f, 0.037354f, + 0.044342f, 0.053375f, 0.064331f, 0.078857f, 0.097351f, 0.121033f, 0.152588f, 0.192749f, + 0.244263f, 0.307129f, 0.380615f, 0.461426f, 0.543457f, 0.621582f, 0.690430f, 0.748047f, + 0.796387f, 0.834961f, 0.865723f, 0.889160f, 0.908691f, 0.924316f, 0.937500f, 0.946777f, + 0.955078f, 0.962891f, 0.986328f, 0.987793f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, + 0.000000f, 0.000243f, 0.000308f, 0.000541f, 0.000801f, 0.000827f, 0.001057f, 0.001280f, + 0.001460f, 0.001781f, 0.002090f, 0.002481f, 0.002756f, 0.003054f, 0.003321f, 0.003948f, + 0.004303f, 0.004898f, 0.005306f, 0.006405f, 0.006954f, 0.007851f, 0.008537f, 0.009918f, + 0.011208f, 0.012825f, 0.014534f, 0.016861f, 0.019379f, 0.022629f, 0.026276f, 0.030838f, + 0.036407f, 0.043488f, 0.051819f, 0.063416f, 0.077209f, 0.095825f, 0.119812f, 0.151489f, + 0.192749f, 0.245361f, 0.309814f, 0.385986f, 0.469238f, 0.552246f, 0.630859f, 0.699707f, + 0.757324f, 0.805176f, 0.842773f, 0.873047f, 0.895508f, 0.914062f, 0.929688f, 0.941406f, + 0.952148f, 0.959473f, 0.985840f, 0.986816f, 0.987305f, 0.987305f, 0.987305f, 0.987305f, + 0.000000f, 0.000243f, 0.000242f, 0.000548f, 0.000695f, 0.000803f, 0.001053f, 0.001198f, + 0.001363f, 0.001513f, 0.001886f, 0.002069f, 0.002447f, 0.002676f, 0.003138f, 0.003551f, + 0.003868f, 0.004261f, 0.004936f, 0.005337f, 0.005852f, 0.006615f, 0.007519f, 0.008575f, + 0.009705f, 0.010872f, 0.012688f, 0.014397f, 0.016479f, 0.019119f, 0.022064f, 0.025589f, + 0.030304f, 0.035828f, 0.042603f, 0.050812f, 0.062012f, 0.076355f, 0.094971f, 0.119263f, + 0.151367f, 0.193726f, 0.247925f, 0.314941f, 0.393311f, 0.478271f, 0.563965f, 0.642578f, + 0.711914f, 0.769043f, 0.815430f, 0.851562f, 0.881348f, 0.902832f, 0.921387f, 0.934570f, + 0.945801f, 0.955078f, 0.984375f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, 0.986328f, + 0.000000f, 0.000234f, 0.000239f, 0.000308f, 0.000597f, 0.000690f, 0.000868f, 0.000937f, + 0.001189f, 0.001404f, 0.001696f, 0.001854f, 0.002180f, 0.002249f, 0.002672f, 0.002979f, + 0.003494f, 0.003761f, 0.004257f, 0.004745f, 0.005154f, 0.005821f, 0.006561f, 0.007557f, + 0.008575f, 0.009575f, 0.010963f, 0.012238f, 0.014130f, 0.016113f, 0.018539f, 0.021545f, + 0.025162f, 0.029404f, 0.034851f, 0.041626f, 0.050354f, 0.061218f, 0.075562f, 0.094482f, + 0.119507f, 0.152344f, 0.196167f, 0.252197f, 0.322266f, 0.404053f, 0.490967f, 0.577637f, + 0.658203f, 0.726074f, 0.782715f, 0.827637f, 0.861816f, 0.889648f, 0.910645f, 0.926758f, + 0.940918f, 0.950684f, 0.983398f, 0.985352f, 0.984863f, 0.985352f, 0.985840f, 0.985352f, + 0.000000f, 0.000240f, 0.000237f, 0.000239f, 0.000436f, 0.000648f, 0.000661f, 0.000892f, + 0.001089f, 0.001484f, 0.001446f, 0.001586f, 0.001896f, 0.002176f, 0.002325f, 0.002634f, + 0.003057f, 0.003315f, 0.003561f, 0.004150f, 0.004578f, 0.005180f, 0.005768f, 0.006485f, + 0.007286f, 0.008400f, 0.009453f, 0.010429f, 0.011795f, 0.013680f, 0.015671f, 0.018005f, + 0.020981f, 0.024521f, 0.028748f, 0.034119f, 0.040863f, 0.049622f, 0.060303f, 0.074829f, + 0.094116f, 0.119995f, 0.154297f, 0.199341f, 0.258301f, 0.331787f, 0.416504f, 0.507812f, + 0.595703f, 0.675781f, 0.743164f, 0.797852f, 0.840820f, 0.873535f, 0.899414f, 0.919434f, + 0.934082f, 0.947266f, 0.982422f, 0.983887f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, + 0.000136f, 0.000115f, 0.000237f, 0.000238f, 0.000358f, 0.000452f, 0.000759f, 0.000961f, + 0.001026f, 0.001113f, 0.001433f, 0.001564f, 0.001659f, 0.001955f, 0.002024f, 0.002384f, + 0.002647f, 0.002974f, 0.003267f, 0.003611f, 0.003971f, 0.004498f, 0.005043f, 0.005539f, + 0.006344f, 0.007168f, 0.007942f, 0.009010f, 0.010353f, 0.011711f, 0.013458f, 0.015213f, + 0.017548f, 0.020279f, 0.023926f, 0.028061f, 0.033356f, 0.040283f, 0.048615f, 0.060455f, + 0.074890f, 0.094727f, 0.121216f, 0.156860f, 0.204102f, 0.266846f, 0.344238f, 0.433105f, + 0.526855f, 0.616699f, 0.696289f, 0.761230f, 0.813965f, 0.854492f, 0.884766f, 0.909180f, + 0.927734f, 0.941895f, 0.980957f, 0.982422f, 0.982910f, 0.982422f, 0.982422f, 0.982910f, + 0.000000f, 0.000103f, 0.000208f, 0.000356f, 0.000355f, 0.000400f, 0.000454f, 0.000861f, + 0.000922f, 0.001202f, 0.001088f, 0.001401f, 0.001493f, 0.001779f, 0.001881f, 0.002180f, + 0.002329f, 0.002483f, 0.002846f, 0.003178f, 0.003542f, 0.003914f, 0.004406f, 0.004871f, + 0.005352f, 0.006119f, 0.006927f, 0.007904f, 0.008759f, 0.009972f, 0.011284f, 0.013046f, + 0.014938f, 0.016998f, 0.019943f, 0.023224f, 0.027161f, 0.032776f, 0.039917f, 0.048218f, + 0.059937f, 0.075134f, 0.095642f, 0.123169f, 0.160767f, 0.211670f, 0.278320f, 0.360352f, + 0.454102f, 0.550293f, 0.640625f, 0.718262f, 0.781738f, 0.831055f, 0.869141f, 0.897461f, + 0.919434f, 0.936035f, 0.979492f, 0.980957f, 0.980957f, 0.981934f, 0.981445f, 0.981445f, + 0.000000f, 0.000192f, 0.000191f, 0.000350f, 0.000352f, 0.000354f, 0.000599f, 0.000721f, + 0.000835f, 0.001044f, 0.000988f, 0.001141f, 0.001255f, 0.001479f, 0.001705f, 0.001815f, + 0.001843f, 0.002151f, 0.002369f, 0.002831f, 0.003067f, 0.003431f, 0.003698f, 0.004295f, + 0.004738f, 0.005352f, 0.005859f, 0.006615f, 0.007587f, 0.008583f, 0.009682f, 0.010735f, + 0.012405f, 0.014381f, 0.016708f, 0.018921f, 0.022736f, 0.026947f, 0.032104f, 0.039032f, + 0.048004f, 0.059784f, 0.075500f, 0.096924f, 0.125977f, 0.166626f, 0.221069f, 0.292969f, + 0.380371f, 0.479004f, 0.577637f, 0.667969f, 0.743164f, 0.803711f, 0.849609f, 0.883789f, + 0.910645f, 0.930176f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979980f, 0.979492f, + 0.000000f, 0.000000f, 0.000191f, 0.000214f, 0.000441f, 0.000465f, 0.000351f, 0.000656f, + 0.000672f, 0.000957f, 0.000881f, 0.001092f, 0.001209f, 0.001259f, 0.001315f, 0.001583f, + 0.001630f, 0.001834f, 0.002033f, 0.002367f, 0.002596f, 0.002924f, 0.003387f, 0.003693f, + 0.004063f, 0.004601f, 0.004986f, 0.005676f, 0.006557f, 0.006973f, 0.007801f, 0.008781f, + 0.010475f, 0.012100f, 0.013817f, 0.015625f, 0.018784f, 0.021927f, 0.026260f, 0.031677f, + 0.038879f, 0.048004f, 0.059845f, 0.076233f, 0.098633f, 0.130005f, 0.173950f, 0.233032f, + 0.311035f, 0.405518f, 0.507812f, 0.608887f, 0.698242f, 0.769531f, 0.826172f, 0.868164f, + 0.899414f, 0.922852f, 0.976074f, 0.977539f, 0.977539f, 0.977051f, 0.978027f, 0.978027f, + 0.000000f, 0.000000f, 0.000117f, 0.000211f, 0.000326f, 0.000573f, 0.000574f, 0.000583f, + 0.000584f, 0.000659f, 0.000901f, 0.001014f, 0.001064f, 0.001033f, 0.001163f, 0.001234f, + 0.001546f, 0.001585f, 0.001894f, 0.002085f, 0.002361f, 0.002504f, 0.003023f, 0.003147f, + 0.003580f, 0.004032f, 0.004314f, 0.004936f, 0.005215f, 0.006081f, 0.006725f, 0.007927f, + 0.008743f, 0.009918f, 0.011642f, 0.013367f, 0.015404f, 0.018219f, 0.021545f, 0.025787f, + 0.031174f, 0.038361f, 0.047577f, 0.060425f, 0.077881f, 0.102051f, 0.135376f, 0.182861f, + 0.249023f, 0.333984f, 0.436035f, 0.542969f, 0.644043f, 0.730469f, 0.798340f, 0.848633f, + 0.886719f, 0.914062f, 0.973633f, 0.974609f, 0.975098f, 0.976074f, 0.975098f, 0.976074f, + 0.000000f, 0.000000f, 0.000114f, 0.000112f, 0.000271f, 0.000510f, 0.000450f, 0.000565f, + 0.000572f, 0.000581f, 0.000654f, 0.000825f, 0.000954f, 0.001085f, 0.001050f, 0.001087f, + 0.001282f, 0.001547f, 0.001585f, 0.001825f, 0.002066f, 0.002182f, 0.002384f, 0.002659f, + 0.003172f, 0.003357f, 0.003721f, 0.004238f, 0.004505f, 0.005024f, 0.005878f, 0.006512f, + 0.007324f, 0.008293f, 0.009201f, 0.011040f, 0.012993f, 0.015007f, 0.017639f, 0.020920f, + 0.025131f, 0.030899f, 0.038269f, 0.047760f, 0.061188f, 0.079651f, 0.105469f, 0.142944f, + 0.195801f, 0.268799f, 0.363525f, 0.472168f, 0.582520f, 0.683594f, 0.765137f, 0.826660f, + 0.872070f, 0.905273f, 0.972168f, 0.973633f, 0.973145f, 0.973633f, 0.973633f, 0.973633f, + 0.000000f, 0.000000f, 0.000000f, 0.000111f, 0.000224f, 0.000412f, 0.000494f, 0.000543f, + 0.000561f, 0.000680f, 0.000665f, 0.000675f, 0.000679f, 0.000797f, 0.000926f, 0.001122f, + 0.001132f, 0.001207f, 0.001375f, 0.001606f, 0.001838f, 0.001963f, 0.002163f, 0.002314f, + 0.002480f, 0.002956f, 0.003189f, 0.003489f, 0.003744f, 0.004311f, 0.004749f, 0.005276f, + 0.005867f, 0.006962f, 0.008186f, 0.008987f, 0.010498f, 0.012283f, 0.014374f, 0.017075f, + 0.020355f, 0.024719f, 0.030640f, 0.037720f, 0.048309f, 0.062134f, 0.082336f, 0.110840f, + 0.151978f, 0.212891f, 0.294922f, 0.399170f, 0.515137f, 0.628418f, 0.724609f, 0.799805f, + 0.854980f, 0.894043f, 0.968750f, 0.970215f, 0.970703f, 0.971191f, 0.970703f, 0.970703f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000228f, 0.000233f, 0.000436f, 0.000457f, + 0.000621f, 0.000546f, 0.000622f, 0.000633f, 0.000576f, 0.000644f, 0.000717f, 0.000909f, + 0.000994f, 0.001127f, 0.001179f, 0.001267f, 0.001513f, 0.001628f, 0.001742f, 0.001974f, + 0.002111f, 0.002403f, 0.002810f, 0.003139f, 0.003231f, 0.003466f, 0.004021f, 0.004459f, + 0.004971f, 0.005581f, 0.006809f, 0.007568f, 0.008759f, 0.010002f, 0.011665f, 0.013847f, + 0.016342f, 0.019714f, 0.024368f, 0.030106f, 0.037811f, 0.048706f, 0.063843f, 0.085327f, + 0.118042f, 0.164917f, 0.234131f, 0.328125f, 0.443359f, 0.565430f, 0.677246f, 0.767578f, + 0.833496f, 0.882812f, 0.965820f, 0.967285f, 0.967773f, 0.968262f, 0.967773f, 0.968262f, + 0.000000f, 0.000000f, 0.000000f, 0.000214f, 0.000210f, 0.000296f, 0.000309f, 0.000386f, + 0.000462f, 0.000482f, 0.000525f, 0.000572f, 0.000525f, 0.000558f, 0.000689f, 0.000685f, + 0.000841f, 0.000934f, 0.001008f, 0.001182f, 0.001271f, 0.001412f, 0.001757f, 0.001787f, + 0.001769f, 0.002110f, 0.002321f, 0.002331f, 0.002737f, 0.002951f, 0.003189f, 0.003588f, + 0.004253f, 0.004627f, 0.005505f, 0.006119f, 0.006969f, 0.008018f, 0.009583f, 0.010971f, + 0.013245f, 0.015915f, 0.019257f, 0.023651f, 0.030014f, 0.038086f, 0.049683f, 0.066406f, + 0.091125f, 0.127441f, 0.182617f, 0.262939f, 0.370605f, 0.497070f, 0.623047f, 0.729004f, + 0.810547f, 0.867188f, 0.962891f, 0.963867f, 0.964844f, 0.964844f, 0.964355f, 0.964355f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000200f, 0.000215f, 0.000229f, 0.000319f, + 0.000330f, 0.000411f, 0.000491f, 0.000527f, 0.000547f, 0.000560f, 0.000634f, 0.000648f, + 0.000716f, 0.000778f, 0.000855f, 0.000998f, 0.001182f, 0.001111f, 0.001274f, 0.001625f, + 0.001584f, 0.001559f, 0.001864f, 0.002037f, 0.002296f, 0.002438f, 0.002600f, 0.002993f, + 0.003290f, 0.003801f, 0.004467f, 0.005085f, 0.005508f, 0.006519f, 0.007645f, 0.008743f, + 0.010757f, 0.012558f, 0.014946f, 0.018661f, 0.023422f, 0.029556f, 0.038574f, 0.050964f, + 0.069702f, 0.097351f, 0.140015f, 0.205566f, 0.301025f, 0.424561f, 0.559082f, 0.683594f, + 0.781250f, 0.852051f, 0.958496f, 0.960449f, 0.960938f, 0.960938f, 0.960938f, 0.960449f, + 0.000000f, 0.000000f, 0.000122f, 0.000122f, 0.000122f, 0.000194f, 0.000214f, 0.000251f, + 0.000302f, 0.000365f, 0.000370f, 0.000429f, 0.000495f, 0.000521f, 0.000504f, 0.000547f, + 0.000632f, 0.000656f, 0.000695f, 0.000795f, 0.000922f, 0.001074f, 0.001125f, 0.001192f, + 0.001166f, 0.001303f, 0.001555f, 0.001575f, 0.001763f, 0.001970f, 0.002232f, 0.002560f, + 0.002657f, 0.003082f, 0.003559f, 0.003799f, 0.004620f, 0.005241f, 0.006081f, 0.007103f, + 0.008385f, 0.009796f, 0.012192f, 0.014702f, 0.018234f, 0.022934f, 0.029556f, 0.039307f, + 0.053009f, 0.073547f, 0.106628f, 0.157715f, 0.237793f, 0.351318f, 0.490479f, 0.629883f, + 0.746094f, 0.832031f, 0.954590f, 0.956055f, 0.956055f, 0.957031f, 0.956543f, 0.956055f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000146f, 0.000191f, 0.000200f, + 0.000255f, 0.000232f, 0.000252f, 0.000359f, 0.000291f, 0.000342f, 0.000406f, 0.000498f, + 0.000520f, 0.000533f, 0.000632f, 0.000605f, 0.000689f, 0.000768f, 0.000908f, 0.001013f, + 0.001087f, 0.001030f, 0.001211f, 0.001318f, 0.001497f, 0.001609f, 0.001753f, 0.001957f, + 0.002234f, 0.002352f, 0.002663f, 0.003040f, 0.003635f, 0.004082f, 0.004723f, 0.005516f, + 0.006367f, 0.007675f, 0.009224f, 0.011360f, 0.013695f, 0.017868f, 0.022598f, 0.029724f, + 0.040222f, 0.055542f, 0.080078f, 0.119202f, 0.182617f, 0.281738f, 0.417725f, 0.568848f, + 0.705566f, 0.807129f, 0.948730f, 0.951172f, 0.951172f, 0.951172f, 0.951660f, 0.951660f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, + 0.000203f, 0.000186f, 0.000184f, 0.000321f, 0.000231f, 0.000337f, 0.000359f, 0.000430f, + 0.000455f, 0.000531f, 0.000502f, 0.000517f, 0.000728f, 0.000643f, 0.000673f, 0.000816f, + 0.000930f, 0.000991f, 0.001028f, 0.001161f, 0.001284f, 0.001369f, 0.001474f, 0.001719f, + 0.001781f, 0.001883f, 0.002258f, 0.002518f, 0.002831f, 0.003201f, 0.003744f, 0.004349f, + 0.005127f, 0.006130f, 0.007210f, 0.008423f, 0.010696f, 0.013405f, 0.017136f, 0.022522f, + 0.030029f, 0.041321f, 0.059631f, 0.089050f, 0.138062f, 0.218994f, 0.343750f, 0.500488f, + 0.657227f, 0.780762f, 0.943848f, 0.945312f, 0.945312f, 0.945801f, 0.945801f, 0.946289f, + 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, + 0.000118f, 0.000137f, 0.000139f, 0.000241f, 0.000202f, 0.000304f, 0.000313f, 0.000332f, + 0.000357f, 0.000420f, 0.000435f, 0.000463f, 0.000645f, 0.000544f, 0.000700f, 0.000717f, + 0.000669f, 0.000834f, 0.000865f, 0.000916f, 0.001109f, 0.001193f, 0.001246f, 0.001300f, + 0.001488f, 0.001538f, 0.001806f, 0.001929f, 0.002001f, 0.002462f, 0.002666f, 0.003260f, + 0.003904f, 0.004364f, 0.005325f, 0.006306f, 0.008041f, 0.009720f, 0.012718f, 0.016525f, + 0.022217f, 0.030579f, 0.043854f, 0.065247f, 0.101929f, 0.166016f, 0.273193f, 0.428223f, + 0.600586f, 0.748047f, 0.936523f, 0.938477f, 0.938965f, 0.939453f, 0.938965f, 0.938965f, + 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, + 0.000114f, 0.000102f, 0.000090f, 0.000096f, 0.000131f, 0.000245f, 0.000276f, 0.000257f, + 0.000307f, 0.000316f, 0.000322f, 0.000373f, 0.000411f, 0.000440f, 0.000433f, 0.000650f, + 0.000578f, 0.000704f, 0.000746f, 0.000723f, 0.000819f, 0.000756f, 0.000758f, 0.000878f, + 0.001009f, 0.001270f, 0.001399f, 0.001530f, 0.001798f, 0.001803f, 0.002151f, 0.002317f, + 0.002728f, 0.003222f, 0.003782f, 0.004612f, 0.005951f, 0.006985f, 0.009308f, 0.011955f, + 0.016052f, 0.022324f, 0.031525f, 0.047272f, 0.073853f, 0.122192f, 0.209717f, 0.352783f, + 0.537109f, 0.709473f, 0.928223f, 0.930664f, 0.931152f, 0.930664f, 0.931641f, 0.931152f, + 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000120f, 0.000119f, + 0.000119f, 0.000111f, 0.000100f, 0.000139f, 0.000082f, 0.000154f, 0.000121f, 0.000216f, + 0.000147f, 0.000271f, 0.000288f, 0.000298f, 0.000386f, 0.000463f, 0.000370f, 0.000485f, + 0.000555f, 0.000530f, 0.000578f, 0.000574f, 0.000612f, 0.000712f, 0.000776f, 0.000716f, + 0.000931f, 0.000831f, 0.000967f, 0.001154f, 0.001176f, 0.001284f, 0.001497f, 0.001884f, + 0.002270f, 0.002415f, 0.002947f, 0.003412f, 0.004032f, 0.005066f, 0.006485f, 0.008400f, + 0.011215f, 0.015404f, 0.022079f, 0.033264f, 0.052124f, 0.087646f, 0.155029f, 0.279297f, + 0.465820f, 0.664062f, 0.918945f, 0.921387f, 0.921875f, 0.922363f, 0.922363f, 0.921875f, + 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000119f, 0.000119f, + 0.000118f, 0.000118f, 0.000110f, 0.000100f, 0.000091f, 0.000082f, 0.000075f, 0.000095f, + 0.000166f, 0.000113f, 0.000163f, 0.000248f, 0.000258f, 0.000277f, 0.000336f, 0.000301f, + 0.000445f, 0.000495f, 0.000473f, 0.000505f, 0.000494f, 0.000470f, 0.000584f, 0.000752f, + 0.000821f, 0.000814f, 0.000845f, 0.000807f, 0.000932f, 0.000996f, 0.001380f, 0.001481f, + 0.001507f, 0.001757f, 0.002146f, 0.002443f, 0.002869f, 0.003546f, 0.004559f, 0.005878f, + 0.007561f, 0.010475f, 0.015320f, 0.022675f, 0.036133f, 0.060883f, 0.110352f, 0.211670f, + 0.389160f, 0.610352f, 0.908691f, 0.909180f, 0.910645f, 0.912109f, 0.909668f, 0.910156f, + 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, + 0.000117f, 0.000117f, 0.000116f, 0.000110f, 0.000100f, 0.000099f, 0.000083f, 0.000077f, + 0.000071f, 0.000081f, 0.000087f, 0.000166f, 0.000177f, 0.000233f, 0.000238f, 0.000273f, + 0.000325f, 0.000357f, 0.000292f, 0.000406f, 0.000418f, 0.000440f, 0.000428f, 0.000568f, + 0.000459f, 0.000628f, 0.000678f, 0.000688f, 0.000647f, 0.000830f, 0.000925f, 0.001111f, + 0.001011f, 0.001420f, 0.001504f, 0.001771f, 0.001997f, 0.002495f, 0.003147f, 0.003944f, + 0.005077f, 0.006958f, 0.010040f, 0.015053f, 0.023727f, 0.040680f, 0.075989f, 0.153076f, + 0.312012f, 0.547363f, 0.894531f, 0.897461f, 0.897949f, 0.897949f, 0.897949f, 0.898438f, + 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000118f, 0.000117f, 0.000116f, 0.000116f, + 0.000115f, 0.000115f, 0.000114f, 0.000114f, 0.000111f, 0.000101f, 0.000093f, 0.000086f, + 0.000079f, 0.000095f, 0.000095f, 0.000090f, 0.000117f, 0.000109f, 0.000158f, 0.000199f, + 0.000207f, 0.000223f, 0.000286f, 0.000288f, 0.000267f, 0.000347f, 0.000368f, 0.000450f, + 0.000377f, 0.000460f, 0.000504f, 0.000498f, 0.000494f, 0.000616f, 0.000632f, 0.000699f, + 0.000755f, 0.000938f, 0.000978f, 0.001222f, 0.001355f, 0.001673f, 0.002016f, 0.002539f, + 0.003258f, 0.004410f, 0.006332f, 0.009285f, 0.014847f, 0.025864f, 0.049042f, 0.104736f, + 0.236572f, 0.477295f, 0.879395f, 0.881348f, 0.882324f, 0.881836f, 0.882324f, 0.882324f, + 0.000000f, 0.000119f, 0.000118f, 0.000116f, 0.000115f, 0.000114f, 0.000114f, 0.000113f, + 0.000112f, 0.000112f, 0.000111f, 0.000111f, 0.000110f, 0.000110f, 0.000103f, 0.000095f, + 0.000088f, 0.000081f, 0.000076f, 0.000070f, 0.000065f, 0.000100f, 0.000104f, 0.000099f, + 0.000120f, 0.000145f, 0.000190f, 0.000204f, 0.000213f, 0.000230f, 0.000241f, 0.000279f, + 0.000325f, 0.000322f, 0.000328f, 0.000381f, 0.000351f, 0.000466f, 0.000452f, 0.000516f, + 0.000591f, 0.000622f, 0.000733f, 0.000882f, 0.000895f, 0.001092f, 0.001456f, 0.001765f, + 0.002069f, 0.002821f, 0.003851f, 0.005558f, 0.008865f, 0.015579f, 0.029999f, 0.066895f, + 0.167480f, 0.400391f, 0.860352f, 0.862793f, 0.863281f, 0.864258f, 0.863281f, 0.863770f, + 0.000119f, 0.000114f, 0.000113f, 0.000113f, 0.000111f, 0.000110f, 0.000109f, 0.000109f, + 0.000108f, 0.000107f, 0.000107f, 0.000107f, 0.000106f, 0.000105f, 0.000106f, 0.000105f, + 0.000098f, 0.000090f, 0.000084f, 0.000078f, 0.000073f, 0.000068f, 0.000063f, 0.000063f, + 0.000066f, 0.000053f, 0.000080f, 0.000107f, 0.000126f, 0.000150f, 0.000188f, 0.000187f, + 0.000206f, 0.000205f, 0.000235f, 0.000242f, 0.000277f, 0.000340f, 0.000323f, 0.000308f, + 0.000417f, 0.000411f, 0.000445f, 0.000536f, 0.000622f, 0.000673f, 0.000887f, 0.000985f, + 0.001289f, 0.001623f, 0.002337f, 0.003241f, 0.004929f, 0.008560f, 0.016739f, 0.039307f, + 0.109619f, 0.317383f, 0.837402f, 0.840332f, 0.841309f, 0.840820f, 0.840820f, 0.841309f, + 0.000000f, 0.000106f, 0.000099f, 0.000104f, 0.000102f, 0.000101f, 0.000100f, 0.000101f, + 0.000101f, 0.000100f, 0.000099f, 0.000100f, 0.000099f, 0.000099f, 0.000099f, 0.000098f, + 0.000098f, 0.000098f, 0.000093f, 0.000086f, 0.000080f, 0.000075f, 0.000070f, 0.000065f, + 0.000061f, 0.000057f, 0.000059f, 0.000054f, 0.000061f, 0.000080f, 0.000087f, 0.000101f, + 0.000136f, 0.000147f, 0.000163f, 0.000171f, 0.000179f, 0.000205f, 0.000223f, 0.000237f, + 0.000281f, 0.000272f, 0.000299f, 0.000364f, 0.000373f, 0.000448f, 0.000507f, 0.000643f, + 0.000801f, 0.001000f, 0.001276f, 0.001765f, 0.002712f, 0.004585f, 0.008492f, 0.020462f, + 0.063721f, 0.233643f, 0.811035f, 0.813477f, 0.814453f, 0.813965f, 0.813965f, 0.814453f, + 0.000000f, 0.000057f, 0.000085f, 0.000085f, 0.000083f, 0.000085f, 0.000087f, 0.000086f, + 0.000087f, 0.000087f, 0.000086f, 0.000087f, 0.000087f, 0.000086f, 0.000087f, 0.000087f, + 0.000088f, 0.000086f, 0.000088f, 0.000087f, 0.000087f, 0.000081f, 0.000076f, 0.000071f, + 0.000067f, 0.000063f, 0.000058f, 0.000055f, 0.000051f, 0.000048f, 0.000046f, 0.000042f, + 0.000051f, 0.000063f, 0.000081f, 0.000101f, 0.000122f, 0.000137f, 0.000147f, 0.000143f, + 0.000157f, 0.000183f, 0.000205f, 0.000188f, 0.000196f, 0.000249f, 0.000310f, 0.000329f, + 0.000413f, 0.000534f, 0.000679f, 0.000944f, 0.001365f, 0.002199f, 0.004150f, 0.009369f, + 0.031677f, 0.153564f, 0.779297f, 0.781250f, 0.782227f, 0.782715f, 0.781738f, 0.781250f, + 0.000000f, 0.000000f, 0.000000f, 0.000009f, 0.000030f, 0.000048f, 0.000051f, 0.000054f, + 0.000055f, 0.000059f, 0.000060f, 0.000065f, 0.000065f, 0.000066f, 0.000068f, 0.000068f, + 0.000070f, 0.000070f, 0.000071f, 0.000071f, 0.000072f, 0.000073f, 0.000073f, 0.000073f, + 0.000071f, 0.000066f, 0.000062f, 0.000058f, 0.000055f, 0.000051f, 0.000048f, 0.000045f, + 0.000042f, 0.000039f, 0.000044f, 0.000036f, 0.000046f, 0.000056f, 0.000067f, 0.000085f, + 0.000099f, 0.000108f, 0.000107f, 0.000113f, 0.000139f, 0.000144f, 0.000165f, 0.000169f, + 0.000196f, 0.000266f, 0.000311f, 0.000426f, 0.000598f, 0.000948f, 0.001744f, 0.003975f, + 0.012856f, 0.084351f, 0.739746f, 0.743164f, 0.743652f, 0.743652f, 0.743652f, 0.743164f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000012f, 0.000012f, 0.000020f, 0.000028f, 0.000030f, 0.000033f, 0.000034f, + 0.000041f, 0.000041f, 0.000045f, 0.000047f, 0.000048f, 0.000049f, 0.000051f, 0.000052f, + 0.000054f, 0.000054f, 0.000056f, 0.000057f, 0.000056f, 0.000052f, 0.000049f, 0.000046f, + 0.000043f, 0.000041f, 0.000038f, 0.000035f, 0.000033f, 0.000031f, 0.000029f, 0.000029f, + 0.000036f, 0.000055f, 0.000048f, 0.000067f, 0.000067f, 0.000073f, 0.000075f, 0.000097f, + 0.000085f, 0.000111f, 0.000137f, 0.000191f, 0.000233f, 0.000371f, 0.000609f, 0.001319f, + 0.004341f, 0.033844f, 0.696289f, 0.698730f, 0.699219f, 0.698242f, 0.698730f, 0.698730f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000003f, 0.000007f, 0.000009f, 0.000012f, 0.000015f, 0.000020f, + 0.000022f, 0.000023f, 0.000026f, 0.000029f, 0.000030f, 0.000032f, 0.000033f, 0.000035f, + 0.000037f, 0.000037f, 0.000036f, 0.000034f, 0.000032f, 0.000030f, 0.000028f, 0.000026f, + 0.000024f, 0.000022f, 0.000021f, 0.000019f, 0.000024f, 0.000024f, 0.000029f, 0.000037f, + 0.000043f, 0.000046f, 0.000059f, 0.000058f, 0.000075f, 0.000095f, 0.000160f, 0.000306f, + 0.001006f, 0.008865f, 0.643066f, 0.647461f, 0.647949f, 0.647461f, 0.647949f, 0.648438f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, + 0.000003f, 0.000005f, 0.000007f, 0.000010f, 0.000012f, 0.000013f, 0.000015f, 0.000017f, + 0.000019f, 0.000020f, 0.000018f, 0.000017f, 0.000015f, 0.000014f, 0.000013f, 0.000012f, + 0.000010f, 0.000012f, 0.000014f, 0.000018f, 0.000018f, 0.000025f, 0.000028f, 0.000045f, + 0.000110f, 0.001030f, 0.586914f, 0.589844f, 0.590820f, 0.591309f, 0.591309f, 0.590820f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000002f, 0.000004f, 0.000005f, 0.000004f, 0.000004f, 0.000003f, 0.000003f, + 0.000004f, 0.000009f, 0.527344f, 0.529785f, 0.529785f, 0.530273f, 0.530762f, 0.530762f, + }, + { + 0.135132f, 0.377441f, 0.544434f, 0.653320f, 0.724609f, 0.773926f, 0.811035f, 0.838867f, + 0.860840f, 0.876465f, 0.891113f, 0.902832f, 0.912109f, 0.920898f, 0.928223f, 0.934082f, + 0.938965f, 0.943848f, 0.948242f, 0.952637f, 0.955566f, 0.958984f, 0.961914f, 0.964844f, + 0.966797f, 0.969238f, 0.971191f, 0.973145f, 0.975098f, 0.976562f, 0.978027f, 0.979492f, + 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.985840f, 0.986328f, 0.987793f, 0.988770f, + 0.989746f, 0.989746f, 0.990234f, 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994141f, + 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, 0.998047f, 0.998535f, + 0.999023f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, + 0.044891f, 0.163330f, 0.306885f, 0.444336f, 0.559570f, 0.645020f, 0.710938f, 0.760742f, + 0.797852f, 0.827148f, 0.850098f, 0.868652f, 0.883789f, 0.895996f, 0.907227f, 0.916016f, + 0.923340f, 0.930176f, 0.936523f, 0.941406f, 0.946777f, 0.950684f, 0.954102f, 0.957031f, + 0.960938f, 0.963379f, 0.965820f, 0.968262f, 0.970703f, 0.972168f, 0.974609f, 0.976562f, + 0.977539f, 0.979492f, 0.980469f, 0.981934f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, + 0.987793f, 0.988770f, 0.988770f, 0.990234f, 0.991211f, 0.991699f, 0.992676f, 0.993164f, + 0.993164f, 0.994141f, 0.995605f, 0.995605f, 0.996094f, 0.996582f, 0.997070f, 0.997559f, + 0.998047f, 0.998535f, 0.999512f, 0.999512f, 0.999512f, 0.999023f, 0.999023f, 0.999023f, + 0.020325f, 0.077820f, 0.158936f, 0.260498f, 0.372314f, 0.479736f, 0.572754f, 0.648438f, + 0.707520f, 0.754883f, 0.791016f, 0.820312f, 0.843750f, 0.862793f, 0.878906f, 0.891602f, + 0.903320f, 0.912598f, 0.920898f, 0.928223f, 0.933594f, 0.939941f, 0.944824f, 0.949219f, + 0.952637f, 0.956543f, 0.959961f, 0.962402f, 0.965332f, 0.967773f, 0.970215f, 0.971680f, + 0.974121f, 0.976074f, 0.977539f, 0.979004f, 0.980957f, 0.981445f, 0.983398f, 0.984375f, + 0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, 0.991211f, 0.992188f, + 0.992676f, 0.993164f, 0.994141f, 0.994629f, 0.995605f, 0.996094f, 0.996582f, 0.996582f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, + 0.012032f, 0.042908f, 0.088196f, 0.149292f, 0.228027f, 0.319824f, 0.415527f, 0.506348f, + 0.586914f, 0.653809f, 0.709473f, 0.752441f, 0.787598f, 0.817383f, 0.840820f, 0.860352f, + 0.876465f, 0.889648f, 0.900879f, 0.910156f, 0.918945f, 0.926270f, 0.933105f, 0.938965f, + 0.944336f, 0.948730f, 0.952637f, 0.956055f, 0.958984f, 0.962402f, 0.965332f, 0.967773f, + 0.970215f, 0.972656f, 0.974609f, 0.976562f, 0.978027f, 0.979492f, 0.980957f, 0.982422f, + 0.983887f, 0.984375f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, + 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.994629f, 0.995117f, 0.996094f, 0.996094f, + 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, + 0.007637f, 0.026825f, 0.053436f, 0.090759f, 0.140137f, 0.203125f, 0.279053f, 0.363281f, + 0.449463f, 0.529785f, 0.601562f, 0.663574f, 0.713379f, 0.756348f, 0.789551f, 0.816895f, + 0.840332f, 0.858887f, 0.875488f, 0.887695f, 0.900391f, 0.909668f, 0.918945f, 0.926270f, + 0.932617f, 0.938477f, 0.943848f, 0.948242f, 0.952148f, 0.955566f, 0.959473f, 0.962402f, + 0.965332f, 0.967773f, 0.970215f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979492f, + 0.980957f, 0.981934f, 0.984375f, 0.985352f, 0.985840f, 0.987793f, 0.988281f, 0.989258f, + 0.990723f, 0.991211f, 0.991699f, 0.992676f, 0.993652f, 0.994141f, 0.994629f, 0.995605f, + 0.996094f, 0.997070f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, + 0.004784f, 0.018082f, 0.035400f, 0.058868f, 0.089783f, 0.130981f, 0.183716f, 0.248047f, + 0.321289f, 0.400391f, 0.478760f, 0.552734f, 0.617188f, 0.673828f, 0.720703f, 0.759766f, + 0.792480f, 0.818359f, 0.840820f, 0.859863f, 0.875000f, 0.888184f, 0.899902f, 0.910645f, + 0.918945f, 0.926270f, 0.931641f, 0.938965f, 0.943848f, 0.948242f, 0.952148f, 0.957031f, + 0.959473f, 0.962891f, 0.965332f, 0.968262f, 0.970215f, 0.972656f, 0.975098f, 0.977051f, + 0.978516f, 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.985352f, 0.986328f, 0.987305f, + 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, 0.993164f, 0.994141f, 0.994629f, + 0.995605f, 0.996094f, 0.998047f, 0.998535f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.004044f, 0.012550f, 0.024628f, 0.040466f, 0.060760f, 0.087708f, 0.122742f, 0.167236f, + 0.222534f, 0.287109f, 0.358643f, 0.432617f, 0.506348f, 0.573242f, 0.632812f, 0.685059f, + 0.728516f, 0.766602f, 0.797363f, 0.822266f, 0.843750f, 0.861328f, 0.877441f, 0.890625f, + 0.901367f, 0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.940430f, 0.944824f, 0.948730f, + 0.953125f, 0.957520f, 0.960449f, 0.963867f, 0.966309f, 0.969238f, 0.970703f, 0.973633f, + 0.976074f, 0.977539f, 0.979004f, 0.980469f, 0.982422f, 0.983398f, 0.984863f, 0.986816f, + 0.986816f, 0.988281f, 0.989746f, 0.990723f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, + 0.994629f, 0.995117f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, 0.998047f, + 0.002975f, 0.009315f, 0.017868f, 0.029129f, 0.043243f, 0.062012f, 0.084961f, 0.115540f, + 0.154419f, 0.201660f, 0.257812f, 0.322754f, 0.391846f, 0.463135f, 0.530762f, 0.594727f, + 0.650391f, 0.698730f, 0.739258f, 0.773926f, 0.803711f, 0.826660f, 0.847656f, 0.865723f, + 0.879883f, 0.892090f, 0.903809f, 0.913086f, 0.921387f, 0.928223f, 0.935059f, 0.940918f, + 0.945801f, 0.950684f, 0.954102f, 0.958008f, 0.961426f, 0.964844f, 0.967285f, 0.970215f, + 0.972168f, 0.974609f, 0.976074f, 0.978027f, 0.979980f, 0.981934f, 0.983398f, 0.984375f, + 0.985352f, 0.987305f, 0.988281f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, + 0.993652f, 0.994629f, 0.997559f, 0.998047f, 0.998047f, 0.997559f, 0.997559f, 0.997559f, + 0.002329f, 0.007256f, 0.013611f, 0.021790f, 0.032043f, 0.044617f, 0.061554f, 0.082336f, + 0.108765f, 0.142578f, 0.184448f, 0.234375f, 0.292725f, 0.357422f, 0.424805f, 0.493164f, + 0.556641f, 0.615723f, 0.666504f, 0.711914f, 0.750977f, 0.782715f, 0.809570f, 0.832520f, + 0.853516f, 0.868652f, 0.882812f, 0.895508f, 0.905762f, 0.916016f, 0.923340f, 0.931152f, + 0.936523f, 0.942383f, 0.947266f, 0.951172f, 0.956055f, 0.958984f, 0.962402f, 0.965820f, + 0.968750f, 0.971191f, 0.973633f, 0.975586f, 0.977539f, 0.979980f, 0.980957f, 0.982422f, + 0.983887f, 0.985352f, 0.985840f, 0.988281f, 0.989746f, 0.990234f, 0.991211f, 0.991699f, + 0.993164f, 0.993652f, 0.997070f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, + 0.001871f, 0.006084f, 0.010963f, 0.016953f, 0.024277f, 0.033722f, 0.046234f, 0.060669f, + 0.079224f, 0.103638f, 0.132812f, 0.169678f, 0.214478f, 0.267090f, 0.326172f, 0.390137f, + 0.456543f, 0.519531f, 0.581543f, 0.636230f, 0.685547f, 0.726562f, 0.762207f, 0.792969f, + 0.818359f, 0.839844f, 0.858398f, 0.874023f, 0.887695f, 0.898926f, 0.909668f, 0.918945f, + 0.926270f, 0.933105f, 0.938965f, 0.944336f, 0.949219f, 0.953613f, 0.958008f, 0.961426f, + 0.964844f, 0.967773f, 0.969727f, 0.972168f, 0.974609f, 0.976074f, 0.979004f, 0.979980f, + 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.989746f, 0.989746f, 0.990723f, + 0.991211f, 0.992676f, 0.996582f, 0.997070f, 0.997559f, 0.997070f, 0.997070f, 0.997070f, + 0.001322f, 0.004795f, 0.008530f, 0.013504f, 0.018921f, 0.026154f, 0.035065f, 0.045807f, + 0.059662f, 0.076416f, 0.098267f, 0.124512f, 0.157715f, 0.197388f, 0.244873f, 0.299805f, + 0.359619f, 0.423096f, 0.487549f, 0.549316f, 0.605957f, 0.657715f, 0.703125f, 0.741211f, + 0.774902f, 0.802734f, 0.827148f, 0.847656f, 0.865234f, 0.879883f, 0.893066f, 0.903320f, + 0.913086f, 0.920898f, 0.929199f, 0.935547f, 0.941406f, 0.947266f, 0.951172f, 0.956055f, + 0.959473f, 0.962891f, 0.965332f, 0.969238f, 0.971191f, 0.974121f, 0.976562f, 0.977539f, + 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.986328f, 0.988281f, 0.988281f, 0.989746f, + 0.990723f, 0.991699f, 0.996582f, 0.996582f, 0.997070f, 0.997070f, 0.997070f, 0.996582f, + 0.001077f, 0.003971f, 0.006985f, 0.010750f, 0.015579f, 0.020920f, 0.027420f, 0.035522f, + 0.045776f, 0.058228f, 0.074097f, 0.093140f, 0.117310f, 0.146851f, 0.182495f, 0.225952f, + 0.276611f, 0.332764f, 0.394287f, 0.456543f, 0.518555f, 0.577637f, 0.630371f, 0.679199f, + 0.720703f, 0.756836f, 0.787598f, 0.813477f, 0.836426f, 0.855469f, 0.872070f, 0.885742f, + 0.897949f, 0.908203f, 0.917480f, 0.925293f, 0.933105f, 0.939453f, 0.944336f, 0.949219f, + 0.954590f, 0.957520f, 0.961426f, 0.964844f, 0.968262f, 0.970703f, 0.974121f, 0.975586f, + 0.978027f, 0.979492f, 0.981445f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, 0.988770f, + 0.989746f, 0.991211f, 0.996094f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, + 0.000954f, 0.003330f, 0.005733f, 0.008904f, 0.012505f, 0.016617f, 0.022446f, 0.028351f, + 0.036041f, 0.045807f, 0.056854f, 0.071350f, 0.088867f, 0.110596f, 0.137451f, 0.170654f, + 0.209717f, 0.256592f, 0.309326f, 0.366943f, 0.427979f, 0.489502f, 0.549316f, 0.604980f, + 0.655762f, 0.700195f, 0.738770f, 0.772461f, 0.801270f, 0.825195f, 0.845703f, 0.864258f, + 0.879395f, 0.893066f, 0.903809f, 0.914062f, 0.922363f, 0.929688f, 0.936523f, 0.942871f, + 0.947266f, 0.952148f, 0.956055f, 0.960449f, 0.963867f, 0.966797f, 0.969727f, 0.972656f, + 0.975586f, 0.976562f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, + 0.988770f, 0.989746f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, + 0.000949f, 0.002804f, 0.004730f, 0.007236f, 0.010384f, 0.014160f, 0.018478f, 0.023102f, + 0.028992f, 0.036346f, 0.044647f, 0.055542f, 0.068481f, 0.085144f, 0.105286f, 0.130005f, + 0.159668f, 0.195557f, 0.238647f, 0.287842f, 0.343018f, 0.402588f, 0.463135f, 0.522949f, + 0.580566f, 0.632812f, 0.680664f, 0.721680f, 0.757812f, 0.788574f, 0.814453f, 0.836914f, + 0.856934f, 0.872070f, 0.887207f, 0.899414f, 0.909668f, 0.918945f, 0.926758f, 0.933594f, + 0.940430f, 0.946289f, 0.950684f, 0.954590f, 0.959473f, 0.963379f, 0.966797f, 0.969238f, + 0.972168f, 0.975098f, 0.977051f, 0.979492f, 0.980957f, 0.982910f, 0.984375f, 0.986328f, + 0.987793f, 0.988770f, 0.995117f, 0.996094f, 0.995605f, 0.996094f, 0.996094f, 0.995605f, + 0.000828f, 0.002361f, 0.004116f, 0.006119f, 0.008797f, 0.011391f, 0.014854f, 0.018890f, + 0.023666f, 0.029083f, 0.036011f, 0.044434f, 0.053986f, 0.066589f, 0.081543f, 0.100159f, + 0.122314f, 0.149536f, 0.183350f, 0.222900f, 0.269043f, 0.321533f, 0.378418f, 0.438477f, + 0.499023f, 0.556641f, 0.611328f, 0.661133f, 0.703613f, 0.742188f, 0.775391f, 0.804199f, + 0.828613f, 0.849121f, 0.866211f, 0.881348f, 0.894043f, 0.905762f, 0.916016f, 0.924316f, + 0.931641f, 0.938477f, 0.944336f, 0.949707f, 0.954590f, 0.958496f, 0.962402f, 0.966309f, + 0.969238f, 0.972168f, 0.974121f, 0.977051f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, + 0.985840f, 0.987793f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.000606f, 0.001948f, 0.003483f, 0.005394f, 0.007290f, 0.009735f, 0.012352f, 0.015747f, + 0.019485f, 0.023788f, 0.029358f, 0.035706f, 0.043732f, 0.053162f, 0.064331f, 0.077942f, + 0.094971f, 0.116089f, 0.140991f, 0.172485f, 0.209473f, 0.252686f, 0.302002f, 0.356934f, + 0.415283f, 0.475830f, 0.534180f, 0.589844f, 0.641602f, 0.687500f, 0.728516f, 0.763184f, + 0.792969f, 0.819336f, 0.841309f, 0.860840f, 0.876953f, 0.890625f, 0.902344f, 0.913086f, + 0.921875f, 0.930176f, 0.937012f, 0.943359f, 0.948242f, 0.954102f, 0.958008f, 0.961914f, + 0.965820f, 0.969238f, 0.971680f, 0.974609f, 0.977051f, 0.979004f, 0.981445f, 0.983398f, + 0.984863f, 0.986816f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, + 0.000672f, 0.001569f, 0.002895f, 0.004528f, 0.006180f, 0.008324f, 0.010864f, 0.013161f, + 0.016357f, 0.020096f, 0.024216f, 0.029327f, 0.035583f, 0.042664f, 0.051453f, 0.062073f, + 0.075012f, 0.091125f, 0.110291f, 0.134155f, 0.162476f, 0.197266f, 0.238037f, 0.285156f, + 0.337646f, 0.395020f, 0.454590f, 0.513672f, 0.570312f, 0.624023f, 0.672363f, 0.714844f, + 0.750977f, 0.783691f, 0.811035f, 0.834473f, 0.854004f, 0.872070f, 0.886230f, 0.899414f, + 0.911133f, 0.918945f, 0.928223f, 0.936035f, 0.942871f, 0.948242f, 0.953613f, 0.957031f, + 0.961426f, 0.965820f, 0.968750f, 0.972168f, 0.974121f, 0.976562f, 0.979492f, 0.981445f, + 0.983398f, 0.985352f, 0.994141f, 0.994629f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, + 0.000413f, 0.001430f, 0.002577f, 0.004269f, 0.005703f, 0.007137f, 0.008888f, 0.011124f, + 0.013885f, 0.016891f, 0.020355f, 0.024384f, 0.029221f, 0.035217f, 0.041748f, 0.049988f, + 0.060059f, 0.072083f, 0.086914f, 0.105286f, 0.126953f, 0.154175f, 0.186523f, 0.224731f, + 0.269287f, 0.320557f, 0.375732f, 0.434570f, 0.493896f, 0.552246f, 0.606934f, 0.655762f, + 0.701660f, 0.740723f, 0.774902f, 0.803711f, 0.827637f, 0.848633f, 0.867188f, 0.882812f, + 0.895996f, 0.908203f, 0.917969f, 0.926758f, 0.934570f, 0.941895f, 0.947266f, 0.952637f, + 0.957520f, 0.960938f, 0.965820f, 0.968750f, 0.971680f, 0.974609f, 0.977051f, 0.979980f, + 0.981934f, 0.983887f, 0.993652f, 0.994629f, 0.994141f, 0.994141f, 0.994141f, 0.994141f, + 0.000240f, 0.001406f, 0.002373f, 0.003283f, 0.004620f, 0.006264f, 0.007744f, 0.009552f, + 0.011711f, 0.014069f, 0.017273f, 0.020584f, 0.024429f, 0.028946f, 0.034393f, 0.041046f, + 0.048798f, 0.058289f, 0.070312f, 0.083618f, 0.100403f, 0.121338f, 0.146118f, 0.177002f, + 0.213257f, 0.255371f, 0.304443f, 0.358887f, 0.416504f, 0.476562f, 0.534668f, 0.590332f, + 0.642090f, 0.688965f, 0.729492f, 0.766113f, 0.796387f, 0.822754f, 0.844727f, 0.862305f, + 0.880371f, 0.894043f, 0.905762f, 0.916992f, 0.926270f, 0.934082f, 0.940918f, 0.946777f, + 0.953125f, 0.956543f, 0.961426f, 0.964844f, 0.969238f, 0.972656f, 0.974609f, 0.977539f, + 0.979980f, 0.982422f, 0.992676f, 0.994141f, 0.993652f, 0.993652f, 0.993652f, 0.993652f, + 0.000242f, 0.001257f, 0.001991f, 0.003138f, 0.004299f, 0.005302f, 0.006584f, 0.008308f, + 0.010048f, 0.012283f, 0.014526f, 0.017578f, 0.020340f, 0.023972f, 0.028671f, 0.033661f, + 0.040161f, 0.047821f, 0.056213f, 0.067261f, 0.080444f, 0.096191f, 0.115784f, 0.139771f, + 0.168457f, 0.203125f, 0.243286f, 0.290527f, 0.343506f, 0.400879f, 0.459473f, 0.519043f, + 0.576172f, 0.629395f, 0.678223f, 0.721191f, 0.757324f, 0.789062f, 0.816895f, 0.839844f, + 0.859863f, 0.877930f, 0.892578f, 0.904297f, 0.915527f, 0.925293f, 0.933105f, 0.940430f, + 0.946777f, 0.952148f, 0.957031f, 0.961914f, 0.965820f, 0.969238f, 0.973145f, 0.975586f, + 0.978516f, 0.980469f, 0.992188f, 0.993652f, 0.993164f, 0.993164f, 0.993652f, 0.993164f, + 0.000434f, 0.001172f, 0.001865f, 0.002825f, 0.003633f, 0.004757f, 0.005722f, 0.007175f, + 0.009010f, 0.010651f, 0.012520f, 0.014412f, 0.017532f, 0.020599f, 0.024139f, 0.028488f, + 0.033356f, 0.039001f, 0.046295f, 0.054749f, 0.064758f, 0.077209f, 0.092834f, 0.111084f, + 0.134033f, 0.160767f, 0.193604f, 0.233032f, 0.278320f, 0.329590f, 0.386230f, 0.445068f, + 0.504395f, 0.563477f, 0.617188f, 0.666504f, 0.711426f, 0.750000f, 0.783691f, 0.812500f, + 0.836426f, 0.857422f, 0.875488f, 0.891113f, 0.903809f, 0.915039f, 0.924805f, 0.933105f, + 0.940430f, 0.947266f, 0.953125f, 0.958496f, 0.962402f, 0.966309f, 0.969727f, 0.973145f, + 0.976562f, 0.978516f, 0.991699f, 0.992188f, 0.992676f, 0.993164f, 0.993164f, 0.992676f, + 0.000358f, 0.000835f, 0.001738f, 0.002270f, 0.002996f, 0.004078f, 0.005157f, 0.006416f, + 0.007904f, 0.009331f, 0.010826f, 0.012245f, 0.014938f, 0.017303f, 0.020233f, 0.023926f, + 0.027954f, 0.032715f, 0.038147f, 0.045166f, 0.053070f, 0.062561f, 0.074768f, 0.089661f, + 0.106689f, 0.128052f, 0.154175f, 0.185547f, 0.223022f, 0.266846f, 0.317383f, 0.373047f, + 0.431152f, 0.491943f, 0.550293f, 0.606445f, 0.658203f, 0.704102f, 0.744141f, 0.779297f, + 0.809082f, 0.833984f, 0.855957f, 0.875000f, 0.889648f, 0.903320f, 0.915039f, 0.924805f, + 0.933594f, 0.940918f, 0.947754f, 0.954102f, 0.958984f, 0.962402f, 0.966797f, 0.970703f, + 0.974121f, 0.977539f, 0.990723f, 0.992188f, 0.992676f, 0.992676f, 0.992188f, 0.992676f, + 0.000428f, 0.000789f, 0.001460f, 0.002172f, 0.002695f, 0.003561f, 0.004608f, 0.005848f, + 0.006886f, 0.007736f, 0.009560f, 0.011078f, 0.012817f, 0.015015f, 0.017563f, 0.020157f, + 0.023666f, 0.027145f, 0.031891f, 0.037384f, 0.044189f, 0.051788f, 0.061188f, 0.072327f, + 0.085999f, 0.102966f, 0.123413f, 0.148071f, 0.178101f, 0.214478f, 0.256836f, 0.306396f, + 0.360840f, 0.419678f, 0.479736f, 0.540527f, 0.597656f, 0.649902f, 0.697754f, 0.738770f, + 0.775391f, 0.805664f, 0.831543f, 0.854004f, 0.873535f, 0.889160f, 0.902832f, 0.915039f, + 0.925293f, 0.934082f, 0.941895f, 0.948730f, 0.954102f, 0.959961f, 0.963867f, 0.968262f, + 0.971680f, 0.975586f, 0.990723f, 0.991699f, 0.991699f, 0.991699f, 0.991699f, 0.991211f, + 0.000237f, 0.000782f, 0.001245f, 0.001923f, 0.002417f, 0.003225f, 0.004101f, 0.005062f, + 0.005920f, 0.007030f, 0.008102f, 0.009743f, 0.011009f, 0.013054f, 0.015190f, 0.017380f, + 0.020126f, 0.023346f, 0.027161f, 0.031464f, 0.036316f, 0.042664f, 0.050110f, 0.058807f, + 0.069946f, 0.083191f, 0.099121f, 0.118835f, 0.142822f, 0.171997f, 0.206665f, 0.248413f, + 0.296143f, 0.350586f, 0.408936f, 0.469727f, 0.530762f, 0.589844f, 0.643555f, 0.691895f, + 0.734375f, 0.772461f, 0.803223f, 0.830566f, 0.854492f, 0.873047f, 0.889648f, 0.903809f, + 0.916016f, 0.926270f, 0.935059f, 0.943359f, 0.949219f, 0.955566f, 0.960938f, 0.965332f, + 0.969727f, 0.973145f, 0.989746f, 0.990723f, 0.990723f, 0.990723f, 0.991211f, 0.990723f, + 0.000243f, 0.000793f, 0.001210f, 0.001616f, 0.002260f, 0.003069f, 0.003649f, 0.004444f, + 0.005322f, 0.006088f, 0.006954f, 0.008278f, 0.009766f, 0.011139f, 0.012970f, 0.014908f, + 0.016968f, 0.019897f, 0.023193f, 0.026962f, 0.030792f, 0.035522f, 0.041931f, 0.048920f, + 0.057404f, 0.067993f, 0.080383f, 0.095825f, 0.114929f, 0.137695f, 0.165771f, 0.199585f, + 0.241089f, 0.287842f, 0.341553f, 0.400391f, 0.462402f, 0.523438f, 0.583008f, 0.638184f, + 0.687988f, 0.732422f, 0.770020f, 0.802246f, 0.830566f, 0.854004f, 0.873047f, 0.891113f, + 0.904785f, 0.916992f, 0.926758f, 0.936523f, 0.943848f, 0.951172f, 0.956543f, 0.961914f, + 0.966797f, 0.971191f, 0.989258f, 0.990234f, 0.990234f, 0.990234f, 0.990234f, 0.989746f, + 0.000000f, 0.000484f, 0.000973f, 0.001453f, 0.001999f, 0.002689f, 0.003359f, 0.003864f, + 0.004726f, 0.005444f, 0.006516f, 0.007404f, 0.008461f, 0.009720f, 0.011261f, 0.012985f, + 0.014908f, 0.017120f, 0.019699f, 0.022614f, 0.026093f, 0.030228f, 0.034668f, 0.040619f, + 0.047699f, 0.055756f, 0.066284f, 0.078308f, 0.092834f, 0.111328f, 0.133423f, 0.160889f, + 0.194214f, 0.233765f, 0.281006f, 0.334473f, 0.392822f, 0.455078f, 0.517090f, 0.578125f, + 0.634766f, 0.686035f, 0.730957f, 0.768555f, 0.803223f, 0.831055f, 0.854492f, 0.875488f, + 0.892090f, 0.906250f, 0.918457f, 0.929688f, 0.937988f, 0.945801f, 0.952148f, 0.958496f, + 0.963867f, 0.968750f, 0.988281f, 0.989258f, 0.989746f, 0.989258f, 0.989746f, 0.989258f, + 0.000241f, 0.000699f, 0.000835f, 0.001354f, 0.002066f, 0.002405f, 0.003073f, 0.003466f, + 0.003847f, 0.004868f, 0.005798f, 0.006325f, 0.007446f, 0.008553f, 0.009789f, 0.011375f, + 0.013031f, 0.014702f, 0.016937f, 0.019455f, 0.022171f, 0.025467f, 0.029541f, 0.034271f, + 0.039734f, 0.046295f, 0.054291f, 0.063904f, 0.075745f, 0.089966f, 0.107727f, 0.129395f, + 0.156250f, 0.188965f, 0.228394f, 0.274658f, 0.327637f, 0.386963f, 0.449219f, 0.512695f, + 0.574707f, 0.632324f, 0.684570f, 0.730469f, 0.770508f, 0.804688f, 0.832520f, 0.857422f, + 0.876953f, 0.893066f, 0.908691f, 0.920410f, 0.931152f, 0.940430f, 0.947754f, 0.954590f, + 0.960938f, 0.965820f, 0.986816f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, 0.988770f, + 0.000122f, 0.000480f, 0.000793f, 0.001184f, 0.001847f, 0.002220f, 0.002459f, 0.003109f, + 0.003740f, 0.004234f, 0.005127f, 0.005730f, 0.006557f, 0.007458f, 0.008469f, 0.009911f, + 0.011162f, 0.012848f, 0.014519f, 0.016693f, 0.019135f, 0.021820f, 0.025024f, 0.028931f, + 0.033508f, 0.038757f, 0.045135f, 0.052856f, 0.062042f, 0.073547f, 0.087646f, 0.104736f, + 0.126099f, 0.152588f, 0.184570f, 0.223511f, 0.269775f, 0.323242f, 0.382324f, 0.445801f, + 0.510254f, 0.573242f, 0.631348f, 0.685059f, 0.731934f, 0.772461f, 0.806641f, 0.834961f, + 0.859375f, 0.879883f, 0.897461f, 0.911133f, 0.923828f, 0.933594f, 0.942383f, 0.950195f, + 0.956055f, 0.962402f, 0.985840f, 0.987305f, 0.987793f, 0.987793f, 0.988281f, 0.987793f, + 0.000244f, 0.000471f, 0.000666f, 0.001267f, 0.001592f, 0.001838f, 0.002251f, 0.002855f, + 0.003225f, 0.003828f, 0.004372f, 0.005112f, 0.005695f, 0.006340f, 0.007534f, 0.008797f, + 0.009895f, 0.011215f, 0.012604f, 0.014503f, 0.016602f, 0.018738f, 0.021408f, 0.024567f, + 0.028305f, 0.032654f, 0.037872f, 0.043732f, 0.051239f, 0.060669f, 0.071716f, 0.085510f, + 0.102356f, 0.123230f, 0.149170f, 0.180664f, 0.219849f, 0.265869f, 0.319092f, 0.379150f, + 0.443604f, 0.508789f, 0.572754f, 0.633301f, 0.686523f, 0.734863f, 0.775391f, 0.809570f, + 0.838379f, 0.862305f, 0.883301f, 0.900391f, 0.914551f, 0.926270f, 0.937012f, 0.944824f, + 0.953125f, 0.959473f, 0.985352f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, 0.986816f, + 0.000242f, 0.000346f, 0.000827f, 0.001065f, 0.001428f, 0.001572f, 0.001984f, 0.002367f, + 0.002851f, 0.003277f, 0.003786f, 0.004501f, 0.005253f, 0.005955f, 0.006573f, 0.007736f, + 0.008659f, 0.009880f, 0.011177f, 0.012459f, 0.014153f, 0.016403f, 0.018173f, 0.020859f, + 0.024017f, 0.027496f, 0.031708f, 0.036682f, 0.042877f, 0.050446f, 0.059174f, 0.070068f, + 0.083374f, 0.100159f, 0.120728f, 0.145874f, 0.177612f, 0.216187f, 0.262695f, 0.316650f, + 0.377686f, 0.443115f, 0.509766f, 0.575195f, 0.635742f, 0.691406f, 0.738281f, 0.779785f, + 0.813965f, 0.843750f, 0.866699f, 0.887207f, 0.904297f, 0.918945f, 0.930176f, 0.940918f, + 0.948730f, 0.956055f, 0.984375f, 0.985840f, 0.985840f, 0.985840f, 0.986328f, 0.985840f, + 0.000242f, 0.000540f, 0.000708f, 0.000830f, 0.001143f, 0.001451f, 0.001861f, 0.002249f, + 0.002661f, 0.003010f, 0.003435f, 0.003922f, 0.004707f, 0.005165f, 0.005787f, 0.006840f, + 0.007374f, 0.008545f, 0.009651f, 0.011147f, 0.012581f, 0.014084f, 0.015991f, 0.017899f, + 0.020325f, 0.023392f, 0.026978f, 0.031113f, 0.035919f, 0.042023f, 0.049103f, 0.057831f, + 0.068420f, 0.081543f, 0.098145f, 0.118530f, 0.143921f, 0.175293f, 0.213989f, 0.260742f, + 0.316162f, 0.377441f, 0.444336f, 0.512207f, 0.579590f, 0.641113f, 0.696289f, 0.744629f, + 0.786621f, 0.820801f, 0.849609f, 0.872559f, 0.892578f, 0.908691f, 0.922363f, 0.934570f, + 0.944336f, 0.951660f, 0.982910f, 0.984375f, 0.984863f, 0.984863f, 0.985352f, 0.984863f, + 0.000106f, 0.000477f, 0.000649f, 0.000901f, 0.001110f, 0.001206f, 0.001630f, 0.002121f, + 0.002192f, 0.002743f, 0.003128f, 0.003538f, 0.003941f, 0.004688f, 0.005276f, 0.005905f, + 0.006546f, 0.007568f, 0.008461f, 0.009483f, 0.010674f, 0.011864f, 0.013649f, 0.015549f, + 0.017731f, 0.020111f, 0.023010f, 0.026199f, 0.030304f, 0.035278f, 0.040833f, 0.047821f, + 0.056580f, 0.066895f, 0.079895f, 0.096191f, 0.116760f, 0.141968f, 0.173584f, 0.212646f, + 0.260498f, 0.316162f, 0.379883f, 0.447754f, 0.517578f, 0.584961f, 0.647949f, 0.704102f, + 0.752930f, 0.792969f, 0.827148f, 0.855957f, 0.877930f, 0.898438f, 0.914062f, 0.928223f, + 0.938965f, 0.948242f, 0.981445f, 0.983398f, 0.983887f, 0.983887f, 0.983887f, 0.983398f, + 0.000208f, 0.000456f, 0.000582f, 0.000788f, 0.001016f, 0.001428f, 0.001507f, 0.001769f, + 0.002203f, 0.002525f, 0.002718f, 0.003187f, 0.003761f, 0.004238f, 0.004635f, 0.005348f, + 0.005901f, 0.006805f, 0.007500f, 0.008545f, 0.009270f, 0.010437f, 0.011742f, 0.013344f, + 0.015198f, 0.017242f, 0.019516f, 0.022430f, 0.025665f, 0.029922f, 0.034180f, 0.040161f, + 0.046936f, 0.055420f, 0.065735f, 0.078552f, 0.094666f, 0.114563f, 0.140503f, 0.172485f, + 0.212646f, 0.260986f, 0.318359f, 0.383545f, 0.453125f, 0.524414f, 0.593750f, 0.656738f, + 0.712891f, 0.761230f, 0.801270f, 0.835938f, 0.862305f, 0.885742f, 0.904785f, 0.919922f, + 0.933594f, 0.943359f, 0.980469f, 0.982422f, 0.982422f, 0.981934f, 0.982422f, 0.982422f, + 0.000170f, 0.000350f, 0.000583f, 0.000682f, 0.000845f, 0.001036f, 0.001265f, 0.001821f, + 0.001953f, 0.002163f, 0.002525f, 0.002771f, 0.003418f, 0.003729f, 0.004040f, 0.004871f, + 0.005188f, 0.005726f, 0.006512f, 0.007130f, 0.008087f, 0.009018f, 0.010216f, 0.011490f, + 0.013084f, 0.014565f, 0.016891f, 0.019073f, 0.021851f, 0.025253f, 0.029022f, 0.033539f, + 0.039124f, 0.045563f, 0.054230f, 0.064270f, 0.077271f, 0.093323f, 0.113403f, 0.139648f, + 0.172485f, 0.213379f, 0.262939f, 0.322266f, 0.389404f, 0.461426f, 0.534180f, 0.604492f, + 0.668457f, 0.724609f, 0.772461f, 0.812500f, 0.845703f, 0.872070f, 0.894043f, 0.911621f, + 0.926758f, 0.938477f, 0.979004f, 0.980469f, 0.980957f, 0.980957f, 0.980957f, 0.980957f, + 0.000000f, 0.000332f, 0.000583f, 0.000583f, 0.000848f, 0.000959f, 0.001125f, 0.001425f, + 0.001810f, 0.001899f, 0.002300f, 0.002529f, 0.002996f, 0.003162f, 0.003607f, 0.004150f, + 0.004761f, 0.005146f, 0.005791f, 0.006329f, 0.007099f, 0.008110f, 0.008949f, 0.009941f, + 0.011253f, 0.012756f, 0.014565f, 0.016434f, 0.018707f, 0.021271f, 0.024475f, 0.028290f, + 0.032745f, 0.037964f, 0.044769f, 0.052795f, 0.063416f, 0.076050f, 0.092102f, 0.113464f, + 0.139526f, 0.172974f, 0.214600f, 0.266602f, 0.327637f, 0.397461f, 0.471191f, 0.546387f, + 0.617188f, 0.682129f, 0.737793f, 0.784668f, 0.823730f, 0.854980f, 0.881348f, 0.902344f, + 0.918945f, 0.933105f, 0.977539f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, + 0.000000f, 0.000243f, 0.000553f, 0.000575f, 0.000591f, 0.000798f, 0.000991f, 0.001234f, + 0.001419f, 0.001812f, 0.001935f, 0.002186f, 0.002518f, 0.002975f, 0.003202f, 0.003614f, + 0.004047f, 0.004425f, 0.005013f, 0.005718f, 0.006172f, 0.007046f, 0.007740f, 0.008835f, + 0.009819f, 0.011192f, 0.012444f, 0.014114f, 0.015884f, 0.018204f, 0.020844f, 0.023392f, + 0.027420f, 0.031921f, 0.037170f, 0.043610f, 0.052032f, 0.062408f, 0.075256f, 0.091675f, + 0.112610f, 0.140015f, 0.173950f, 0.217651f, 0.271973f, 0.335693f, 0.407715f, 0.484619f, + 0.561035f, 0.633789f, 0.698242f, 0.752930f, 0.798828f, 0.836426f, 0.867676f, 0.891602f, + 0.911621f, 0.926270f, 0.975098f, 0.977539f, 0.978516f, 0.977539f, 0.977539f, 0.978027f, + 0.000121f, 0.000121f, 0.000241f, 0.000385f, 0.000684f, 0.000693f, 0.000932f, 0.001156f, + 0.001410f, 0.001648f, 0.001893f, 0.002184f, 0.002367f, 0.002579f, 0.002872f, 0.003319f, + 0.003653f, 0.003922f, 0.004425f, 0.004925f, 0.005436f, 0.006180f, 0.006836f, 0.007645f, + 0.008278f, 0.009476f, 0.010788f, 0.012169f, 0.013695f, 0.015305f, 0.017319f, 0.020111f, + 0.022858f, 0.026718f, 0.030975f, 0.036255f, 0.042938f, 0.051270f, 0.061493f, 0.074768f, + 0.091187f, 0.112976f, 0.140747f, 0.176392f, 0.222168f, 0.278809f, 0.345703f, 0.421387f, + 0.500488f, 0.578613f, 0.651855f, 0.715820f, 0.769531f, 0.813965f, 0.850586f, 0.878418f, + 0.901855f, 0.920410f, 0.973633f, 0.975586f, 0.976074f, 0.976562f, 0.976562f, 0.975098f, + 0.000240f, 0.000120f, 0.000281f, 0.000333f, 0.000498f, 0.000680f, 0.000684f, 0.001083f, + 0.001312f, 0.001618f, 0.001606f, 0.001834f, 0.002087f, 0.002316f, 0.002735f, 0.002792f, + 0.003084f, 0.003386f, 0.003944f, 0.004353f, 0.004761f, 0.005390f, 0.005997f, 0.006615f, + 0.007389f, 0.008324f, 0.008987f, 0.010284f, 0.011703f, 0.013382f, 0.014717f, 0.016953f, + 0.019424f, 0.022278f, 0.026047f, 0.030029f, 0.035492f, 0.042145f, 0.050446f, 0.060608f, + 0.073975f, 0.091187f, 0.113831f, 0.142700f, 0.180176f, 0.228271f, 0.288086f, 0.359131f, + 0.437988f, 0.519531f, 0.600098f, 0.673340f, 0.735352f, 0.787598f, 0.830566f, 0.865234f, + 0.891602f, 0.913086f, 0.971680f, 0.974121f, 0.974121f, 0.974121f, 0.974121f, 0.974609f, + 0.000000f, 0.000239f, 0.000236f, 0.000425f, 0.000487f, 0.000608f, 0.000850f, 0.001012f, + 0.001140f, 0.001260f, 0.001410f, 0.001640f, 0.001953f, 0.002003f, 0.002342f, 0.002434f, + 0.002686f, 0.002934f, 0.003305f, 0.003771f, 0.004169f, 0.004692f, 0.005028f, 0.005817f, + 0.006371f, 0.007179f, 0.007919f, 0.008965f, 0.009857f, 0.011261f, 0.012703f, 0.014229f, + 0.016312f, 0.018494f, 0.021744f, 0.025024f, 0.029633f, 0.034790f, 0.041199f, 0.049561f, + 0.060242f, 0.073608f, 0.091675f, 0.114502f, 0.144897f, 0.185547f, 0.236328f, 0.300049f, + 0.375732f, 0.458496f, 0.542969f, 0.624023f, 0.696289f, 0.758301f, 0.808105f, 0.847656f, + 0.879395f, 0.903809f, 0.968750f, 0.971191f, 0.972168f, 0.971680f, 0.972168f, 0.971680f, + 0.000000f, 0.000217f, 0.000235f, 0.000235f, 0.000321f, 0.000560f, 0.000588f, 0.000897f, + 0.001034f, 0.001040f, 0.001246f, 0.001369f, 0.001611f, 0.001692f, 0.001942f, 0.002153f, + 0.002337f, 0.002638f, 0.002878f, 0.003330f, 0.003672f, 0.003986f, 0.004498f, 0.004826f, + 0.005535f, 0.006176f, 0.006561f, 0.007538f, 0.008362f, 0.009544f, 0.010612f, 0.011879f, + 0.013794f, 0.015839f, 0.018326f, 0.020889f, 0.024567f, 0.028625f, 0.033783f, 0.040527f, + 0.049133f, 0.059998f, 0.073608f, 0.092041f, 0.116394f, 0.148682f, 0.191528f, 0.246582f, + 0.315186f, 0.395508f, 0.482910f, 0.570312f, 0.651367f, 0.722168f, 0.781738f, 0.828613f, + 0.866211f, 0.895508f, 0.966797f, 0.968750f, 0.969238f, 0.969727f, 0.969238f, 0.969238f, + 0.000000f, 0.000108f, 0.000215f, 0.000346f, 0.000352f, 0.000501f, 0.000783f, 0.000828f, + 0.000954f, 0.000980f, 0.001130f, 0.001353f, 0.001429f, 0.001522f, 0.001690f, 0.001760f, + 0.002172f, 0.002363f, 0.002522f, 0.002777f, 0.003202f, 0.003550f, 0.004040f, 0.004364f, + 0.004734f, 0.005192f, 0.005909f, 0.006271f, 0.007015f, 0.007957f, 0.008774f, 0.010185f, + 0.011681f, 0.013306f, 0.015327f, 0.017517f, 0.020264f, 0.023636f, 0.027740f, 0.033234f, + 0.039856f, 0.048340f, 0.059387f, 0.074097f, 0.093567f, 0.118896f, 0.153931f, 0.200073f, + 0.260254f, 0.334473f, 0.420410f, 0.511719f, 0.601562f, 0.682129f, 0.750488f, 0.807617f, + 0.851074f, 0.884277f, 0.963867f, 0.966309f, 0.966797f, 0.966797f, 0.966797f, 0.966797f, + 0.000000f, 0.000059f, 0.000292f, 0.000331f, 0.000344f, 0.000613f, 0.000532f, 0.000703f, + 0.000853f, 0.000915f, 0.000936f, 0.001102f, 0.001284f, 0.001430f, 0.001417f, 0.001475f, + 0.001791f, 0.001989f, 0.002161f, 0.002388f, 0.002775f, 0.003017f, 0.003357f, 0.003763f, + 0.004124f, 0.004383f, 0.004917f, 0.005436f, 0.005840f, 0.006733f, 0.007511f, 0.008667f, + 0.009567f, 0.011032f, 0.012474f, 0.014610f, 0.016739f, 0.019379f, 0.022873f, 0.027252f, + 0.032410f, 0.039062f, 0.048065f, 0.059296f, 0.074646f, 0.094971f, 0.123108f, 0.161011f, + 0.211426f, 0.277344f, 0.358154f, 0.450195f, 0.545410f, 0.636230f, 0.715332f, 0.781250f, + 0.832520f, 0.872070f, 0.960449f, 0.962402f, 0.963867f, 0.963379f, 0.962891f, 0.963379f, + 0.000000f, 0.000000f, 0.000098f, 0.000301f, 0.000315f, 0.000566f, 0.000587f, 0.000627f, + 0.000643f, 0.000795f, 0.000974f, 0.001023f, 0.000987f, 0.001031f, 0.001245f, 0.001470f, + 0.001637f, 0.001820f, 0.001884f, 0.002146f, 0.002357f, 0.002630f, 0.002913f, 0.003164f, + 0.003380f, 0.003824f, 0.004189f, 0.004353f, 0.004940f, 0.005688f, 0.006409f, 0.007347f, + 0.008018f, 0.009163f, 0.010559f, 0.012039f, 0.013695f, 0.016144f, 0.018723f, 0.022354f, + 0.026337f, 0.031433f, 0.038818f, 0.047546f, 0.059662f, 0.075623f, 0.097473f, 0.127808f, + 0.169556f, 0.225830f, 0.299072f, 0.387451f, 0.486084f, 0.583984f, 0.674805f, 0.751465f, + 0.812012f, 0.859375f, 0.957031f, 0.958984f, 0.959473f, 0.959961f, 0.959961f, 0.959961f, + 0.000000f, 0.000000f, 0.000004f, 0.000078f, 0.000408f, 0.000432f, 0.000563f, 0.000560f, + 0.000566f, 0.000623f, 0.000782f, 0.000829f, 0.000896f, 0.000956f, 0.001056f, 0.001249f, + 0.001414f, 0.001473f, 0.001646f, 0.001764f, 0.002066f, 0.002230f, 0.002436f, 0.002651f, + 0.003012f, 0.003252f, 0.003414f, 0.004055f, 0.004143f, 0.004784f, 0.005356f, 0.006077f, + 0.006870f, 0.007538f, 0.008728f, 0.009834f, 0.011322f, 0.013130f, 0.015427f, 0.017914f, + 0.021271f, 0.025436f, 0.030960f, 0.038086f, 0.047485f, 0.060303f, 0.077087f, 0.101196f, + 0.134521f, 0.180786f, 0.244507f, 0.326172f, 0.423584f, 0.527832f, 0.628418f, 0.716797f, + 0.788086f, 0.843262f, 0.953125f, 0.955566f, 0.955566f, 0.956543f, 0.956055f, 0.956543f, + 0.000000f, 0.000000f, 0.000000f, 0.000236f, 0.000320f, 0.000484f, 0.000521f, 0.000549f, + 0.000556f, 0.000584f, 0.000574f, 0.000690f, 0.000758f, 0.000841f, 0.001003f, 0.001013f, + 0.001169f, 0.001292f, 0.001437f, 0.001658f, 0.001830f, 0.002001f, 0.002081f, 0.002146f, + 0.002434f, 0.002712f, 0.002964f, 0.003220f, 0.003513f, 0.003963f, 0.004410f, 0.004875f, + 0.005608f, 0.006245f, 0.007179f, 0.008118f, 0.009201f, 0.010582f, 0.012360f, 0.014343f, + 0.016968f, 0.020401f, 0.024628f, 0.030365f, 0.037567f, 0.047455f, 0.060913f, 0.079529f, + 0.105774f, 0.143555f, 0.196167f, 0.268799f, 0.361084f, 0.467041f, 0.576172f, 0.676758f, + 0.760254f, 0.825195f, 0.948242f, 0.951660f, 0.951660f, 0.951660f, 0.951660f, 0.951660f, + 0.000000f, 0.000000f, 0.000000f, 0.000122f, 0.000257f, 0.000334f, 0.000390f, 0.000496f, + 0.000520f, 0.000539f, 0.000590f, 0.000602f, 0.000646f, 0.000725f, 0.000909f, 0.000949f, + 0.001023f, 0.001121f, 0.001181f, 0.001308f, 0.001474f, 0.001457f, 0.001714f, 0.002007f, + 0.001929f, 0.002039f, 0.002468f, 0.002672f, 0.003025f, 0.003317f, 0.003635f, 0.004047f, + 0.004433f, 0.004864f, 0.005756f, 0.006493f, 0.007515f, 0.008331f, 0.009697f, 0.011383f, + 0.014000f, 0.016235f, 0.019653f, 0.024185f, 0.029465f, 0.037109f, 0.047699f, 0.062164f, + 0.082642f, 0.112488f, 0.155151f, 0.216919f, 0.300049f, 0.404541f, 0.520020f, 0.631836f, + 0.728516f, 0.805664f, 0.943848f, 0.946289f, 0.946777f, 0.946777f, 0.947266f, 0.947266f, + 0.000000f, 0.000000f, 0.000122f, 0.000088f, 0.000219f, 0.000229f, 0.000355f, 0.000414f, + 0.000482f, 0.000545f, 0.000559f, 0.000568f, 0.000481f, 0.000668f, 0.000636f, 0.000728f, + 0.000924f, 0.000980f, 0.001017f, 0.001109f, 0.001258f, 0.001353f, 0.001451f, 0.001564f, + 0.001621f, 0.001740f, 0.002066f, 0.002289f, 0.002459f, 0.002621f, 0.002975f, 0.003349f, + 0.003588f, 0.003998f, 0.004723f, 0.005116f, 0.006035f, 0.006859f, 0.007957f, 0.009064f, + 0.010658f, 0.012711f, 0.015511f, 0.018555f, 0.023026f, 0.028854f, 0.037140f, 0.048035f, + 0.064026f, 0.086914f, 0.121033f, 0.171387f, 0.244141f, 0.341797f, 0.458740f, 0.580078f, + 0.691895f, 0.780762f, 0.937988f, 0.940430f, 0.941406f, 0.940918f, 0.941895f, 0.941406f, + 0.000000f, 0.000000f, 0.000000f, 0.000080f, 0.000211f, 0.000221f, 0.000225f, 0.000192f, + 0.000352f, 0.000368f, 0.000397f, 0.000529f, 0.000510f, 0.000504f, 0.000540f, 0.000671f, + 0.000694f, 0.000763f, 0.000902f, 0.000998f, 0.001063f, 0.001074f, 0.001128f, 0.001407f, + 0.001370f, 0.001449f, 0.001682f, 0.001635f, 0.001976f, 0.002108f, 0.002335f, 0.002558f, + 0.002905f, 0.003176f, 0.003637f, 0.003948f, 0.004650f, 0.005341f, 0.006237f, 0.007034f, + 0.008415f, 0.009811f, 0.012032f, 0.014565f, 0.017731f, 0.022324f, 0.028427f, 0.036713f, + 0.048859f, 0.066406f, 0.092957f, 0.133057f, 0.193848f, 0.281250f, 0.395508f, 0.524902f, + 0.648926f, 0.754395f, 0.931152f, 0.934570f, 0.934570f, 0.934570f, 0.935547f, 0.935059f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000181f, 0.000196f, 0.000236f, 0.000250f, + 0.000226f, 0.000281f, 0.000335f, 0.000457f, 0.000406f, 0.000511f, 0.000522f, 0.000593f, + 0.000539f, 0.000663f, 0.000661f, 0.000779f, 0.000978f, 0.000855f, 0.000937f, 0.001128f, + 0.001163f, 0.001253f, 0.001241f, 0.001531f, 0.001595f, 0.001796f, 0.001888f, 0.002226f, + 0.002350f, 0.002609f, 0.002787f, 0.003260f, 0.003656f, 0.004303f, 0.004910f, 0.005577f, + 0.006683f, 0.007603f, 0.009102f, 0.011017f, 0.013603f, 0.016968f, 0.021652f, 0.027939f, + 0.037109f, 0.050262f, 0.070374f, 0.101624f, 0.150391f, 0.225220f, 0.331543f, 0.463867f, + 0.601074f, 0.723145f, 0.923828f, 0.927246f, 0.927246f, 0.928223f, 0.927734f, 0.928223f, + 0.000000f, 0.000000f, 0.000122f, 0.000121f, 0.000121f, 0.000174f, 0.000156f, 0.000204f, + 0.000180f, 0.000221f, 0.000246f, 0.000346f, 0.000313f, 0.000426f, 0.000468f, 0.000482f, + 0.000559f, 0.000582f, 0.000536f, 0.000611f, 0.000770f, 0.000666f, 0.000919f, 0.000947f, + 0.001013f, 0.000948f, 0.001129f, 0.001169f, 0.001463f, 0.001579f, 0.001540f, 0.001555f, + 0.001888f, 0.002007f, 0.002390f, 0.002623f, 0.002708f, 0.003235f, 0.003584f, 0.004223f, + 0.005001f, 0.005791f, 0.006905f, 0.008118f, 0.010117f, 0.012512f, 0.015961f, 0.020798f, + 0.027374f, 0.037628f, 0.052673f, 0.076172f, 0.114197f, 0.175659f, 0.270752f, 0.399658f, + 0.546875f, 0.687012f, 0.915527f, 0.918457f, 0.919434f, 0.919434f, 0.919434f, 0.919434f, + 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000121f, 0.000120f, 0.000139f, 0.000141f, + 0.000152f, 0.000186f, 0.000209f, 0.000222f, 0.000297f, 0.000330f, 0.000367f, 0.000403f, + 0.000433f, 0.000456f, 0.000457f, 0.000484f, 0.000521f, 0.000544f, 0.000594f, 0.000807f, + 0.000790f, 0.000841f, 0.000784f, 0.001025f, 0.001112f, 0.001014f, 0.001146f, 0.001287f, + 0.001485f, 0.001541f, 0.001740f, 0.002014f, 0.002264f, 0.002460f, 0.002825f, 0.003124f, + 0.003683f, 0.004177f, 0.005024f, 0.006004f, 0.007454f, 0.009041f, 0.011833f, 0.014839f, + 0.019791f, 0.027283f, 0.038361f, 0.055817f, 0.084656f, 0.133057f, 0.213013f, 0.334717f, + 0.488770f, 0.645996f, 0.905762f, 0.909668f, 0.909668f, 0.909180f, 0.910645f, 0.908691f, + 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000115f, + 0.000104f, 0.000105f, 0.000203f, 0.000235f, 0.000185f, 0.000290f, 0.000201f, 0.000306f, + 0.000259f, 0.000370f, 0.000401f, 0.000428f, 0.000596f, 0.000617f, 0.000474f, 0.000593f, + 0.000641f, 0.000676f, 0.000682f, 0.000826f, 0.000897f, 0.000934f, 0.000972f, 0.000972f, + 0.001213f, 0.001281f, 0.001410f, 0.001451f, 0.001562f, 0.001786f, 0.002031f, 0.002417f, + 0.002764f, 0.003162f, 0.003763f, 0.004406f, 0.005310f, 0.006454f, 0.008156f, 0.010849f, + 0.014305f, 0.019318f, 0.027328f, 0.039856f, 0.061310f, 0.097717f, 0.162354f, 0.270752f, + 0.424805f, 0.599609f, 0.894043f, 0.897949f, 0.898438f, 0.898438f, 0.898926f, 0.898438f, + 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000118f, 0.000118f, + 0.000112f, 0.000102f, 0.000094f, 0.000109f, 0.000131f, 0.000145f, 0.000232f, 0.000171f, + 0.000278f, 0.000230f, 0.000347f, 0.000331f, 0.000379f, 0.000381f, 0.000512f, 0.000427f, + 0.000541f, 0.000566f, 0.000547f, 0.000613f, 0.000706f, 0.000660f, 0.000809f, 0.000941f, + 0.000950f, 0.001035f, 0.001069f, 0.001220f, 0.001149f, 0.001314f, 0.001603f, 0.001801f, + 0.002062f, 0.002394f, 0.002737f, 0.003057f, 0.003771f, 0.004471f, 0.005875f, 0.007217f, + 0.009651f, 0.013344f, 0.018829f, 0.027710f, 0.043091f, 0.069214f, 0.119141f, 0.210571f, + 0.358398f, 0.544922f, 0.881348f, 0.883789f, 0.885254f, 0.885742f, 0.885254f, 0.885254f, + 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000119f, 0.000118f, 0.000117f, 0.000116f, + 0.000116f, 0.000110f, 0.000101f, 0.000094f, 0.000087f, 0.000157f, 0.000151f, 0.000168f, + 0.000146f, 0.000219f, 0.000214f, 0.000261f, 0.000313f, 0.000363f, 0.000311f, 0.000415f, + 0.000476f, 0.000448f, 0.000429f, 0.000460f, 0.000481f, 0.000560f, 0.000544f, 0.000695f, + 0.000626f, 0.000789f, 0.000877f, 0.000894f, 0.000948f, 0.001177f, 0.001175f, 0.001366f, + 0.001487f, 0.001738f, 0.002008f, 0.002304f, 0.002663f, 0.003250f, 0.004002f, 0.004932f, + 0.006416f, 0.008636f, 0.012344f, 0.018127f, 0.028610f, 0.047150f, 0.083923f, 0.156860f, + 0.291260f, 0.487305f, 0.866211f, 0.869141f, 0.870605f, 0.870117f, 0.871094f, 0.870117f, + 0.000000f, 0.000000f, 0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000115f, 0.000115f, + 0.000114f, 0.000114f, 0.000109f, 0.000101f, 0.000094f, 0.000087f, 0.000081f, 0.000085f, + 0.000129f, 0.000150f, 0.000176f, 0.000193f, 0.000216f, 0.000257f, 0.000241f, 0.000302f, + 0.000259f, 0.000299f, 0.000397f, 0.000403f, 0.000384f, 0.000402f, 0.000425f, 0.000582f, + 0.000467f, 0.000614f, 0.000660f, 0.000625f, 0.000650f, 0.000819f, 0.000790f, 0.000879f, + 0.001001f, 0.001140f, 0.001403f, 0.001555f, 0.001844f, 0.002213f, 0.002636f, 0.003235f, + 0.004082f, 0.005604f, 0.007896f, 0.011292f, 0.018005f, 0.030472f, 0.055786f, 0.109985f, + 0.224976f, 0.421875f, 0.848145f, 0.852539f, 0.853027f, 0.852539f, 0.852539f, 0.853027f, + 0.000000f, 0.000119f, 0.000118f, 0.000116f, 0.000115f, 0.000114f, 0.000113f, 0.000112f, + 0.000111f, 0.000111f, 0.000110f, 0.000108f, 0.000101f, 0.000094f, 0.000088f, 0.000082f, + 0.000077f, 0.000109f, 0.000068f, 0.000102f, 0.000127f, 0.000158f, 0.000177f, 0.000192f, + 0.000207f, 0.000214f, 0.000249f, 0.000278f, 0.000296f, 0.000320f, 0.000330f, 0.000342f, + 0.000415f, 0.000371f, 0.000389f, 0.000508f, 0.000463f, 0.000586f, 0.000606f, 0.000649f, + 0.000724f, 0.000841f, 0.000910f, 0.001065f, 0.001236f, 0.001475f, 0.001807f, 0.002138f, + 0.002716f, 0.003622f, 0.004921f, 0.006950f, 0.010574f, 0.018433f, 0.034607f, 0.072449f, + 0.163818f, 0.352295f, 0.827637f, 0.831055f, 0.831543f, 0.832031f, 0.833008f, 0.832520f, + 0.000120f, 0.000116f, 0.000114f, 0.000113f, 0.000111f, 0.000110f, 0.000109f, 0.000108f, + 0.000107f, 0.000106f, 0.000106f, 0.000105f, 0.000104f, 0.000101f, 0.000094f, 0.000088f, + 0.000083f, 0.000078f, 0.000073f, 0.000092f, 0.000064f, 0.000097f, 0.000073f, 0.000105f, + 0.000125f, 0.000162f, 0.000179f, 0.000177f, 0.000191f, 0.000221f, 0.000241f, 0.000235f, + 0.000270f, 0.000277f, 0.000287f, 0.000329f, 0.000319f, 0.000428f, 0.000417f, 0.000409f, + 0.000524f, 0.000537f, 0.000612f, 0.000750f, 0.000770f, 0.000961f, 0.001153f, 0.001347f, + 0.001702f, 0.002081f, 0.002903f, 0.003956f, 0.006184f, 0.010368f, 0.019592f, 0.043427f, + 0.109924f, 0.280518f, 0.803223f, 0.806152f, 0.807617f, 0.808594f, 0.809082f, 0.808105f, + 0.000000f, 0.000111f, 0.000106f, 0.000107f, 0.000104f, 0.000103f, 0.000101f, 0.000101f, + 0.000101f, 0.000100f, 0.000099f, 0.000098f, 0.000097f, 0.000097f, 0.000097f, 0.000094f, + 0.000088f, 0.000083f, 0.000078f, 0.000073f, 0.000069f, 0.000070f, 0.000061f, 0.000068f, + 0.000059f, 0.000067f, 0.000084f, 0.000097f, 0.000128f, 0.000137f, 0.000165f, 0.000160f, + 0.000176f, 0.000185f, 0.000217f, 0.000239f, 0.000237f, 0.000238f, 0.000272f, 0.000281f, + 0.000314f, 0.000372f, 0.000395f, 0.000430f, 0.000504f, 0.000578f, 0.000665f, 0.000856f, + 0.000969f, 0.001210f, 0.001594f, 0.002216f, 0.003370f, 0.005527f, 0.010170f, 0.023239f, + 0.066101f, 0.207275f, 0.775391f, 0.779785f, 0.780273f, 0.780762f, 0.780273f, 0.780762f, + 0.000000f, 0.000094f, 0.000097f, 0.000095f, 0.000092f, 0.000091f, 0.000091f, 0.000090f, + 0.000089f, 0.000089f, 0.000088f, 0.000088f, 0.000087f, 0.000086f, 0.000087f, 0.000086f, + 0.000086f, 0.000085f, 0.000081f, 0.000076f, 0.000072f, 0.000068f, 0.000064f, 0.000060f, + 0.000057f, 0.000054f, 0.000058f, 0.000048f, 0.000048f, 0.000069f, 0.000068f, 0.000092f, + 0.000110f, 0.000122f, 0.000133f, 0.000136f, 0.000146f, 0.000154f, 0.000175f, 0.000194f, + 0.000204f, 0.000206f, 0.000238f, 0.000262f, 0.000266f, 0.000338f, 0.000361f, 0.000432f, + 0.000527f, 0.000659f, 0.000848f, 0.001183f, 0.001713f, 0.002661f, 0.004921f, 0.010887f, + 0.033936f, 0.138428f, 0.743652f, 0.747559f, 0.748047f, 0.748535f, 0.749512f, 0.749023f, + 0.000045f, 0.000047f, 0.000059f, 0.000059f, 0.000063f, 0.000068f, 0.000068f, 0.000068f, + 0.000067f, 0.000069f, 0.000068f, 0.000070f, 0.000070f, 0.000070f, 0.000071f, 0.000070f, + 0.000071f, 0.000071f, 0.000071f, 0.000071f, 0.000071f, 0.000069f, 0.000065f, 0.000062f, + 0.000058f, 0.000055f, 0.000052f, 0.000049f, 0.000046f, 0.000044f, 0.000041f, 0.000050f, + 0.000051f, 0.000048f, 0.000061f, 0.000070f, 0.000084f, 0.000095f, 0.000107f, 0.000104f, + 0.000111f, 0.000128f, 0.000143f, 0.000154f, 0.000157f, 0.000186f, 0.000198f, 0.000216f, + 0.000268f, 0.000315f, 0.000414f, 0.000537f, 0.000735f, 0.001149f, 0.002075f, 0.004669f, + 0.014175f, 0.077881f, 0.707031f, 0.710449f, 0.712402f, 0.711914f, 0.712891f, 0.712402f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000012f, 0.000013f, 0.000029f, + 0.000028f, 0.000037f, 0.000035f, 0.000039f, 0.000043f, 0.000043f, 0.000045f, 0.000045f, + 0.000048f, 0.000048f, 0.000050f, 0.000051f, 0.000052f, 0.000052f, 0.000053f, 0.000054f, + 0.000054f, 0.000053f, 0.000050f, 0.000048f, 0.000045f, 0.000043f, 0.000040f, 0.000038f, + 0.000036f, 0.000034f, 0.000032f, 0.000030f, 0.000028f, 0.000030f, 0.000038f, 0.000043f, + 0.000057f, 0.000069f, 0.000072f, 0.000073f, 0.000082f, 0.000095f, 0.000101f, 0.000099f, + 0.000116f, 0.000130f, 0.000184f, 0.000211f, 0.000301f, 0.000443f, 0.000737f, 0.001601f, + 0.004978f, 0.032593f, 0.666504f, 0.669922f, 0.669922f, 0.672363f, 0.670898f, 0.670410f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, + 0.000012f, 0.000015f, 0.000018f, 0.000021f, 0.000022f, 0.000023f, 0.000025f, 0.000028f, + 0.000029f, 0.000029f, 0.000031f, 0.000033f, 0.000033f, 0.000035f, 0.000035f, 0.000035f, + 0.000033f, 0.000031f, 0.000029f, 0.000028f, 0.000026f, 0.000024f, 0.000023f, 0.000021f, + 0.000020f, 0.000019f, 0.000022f, 0.000022f, 0.000030f, 0.000038f, 0.000042f, 0.000041f, + 0.000052f, 0.000047f, 0.000064f, 0.000072f, 0.000078f, 0.000129f, 0.000201f, 0.000382f, + 0.001180f, 0.009117f, 0.620605f, 0.624512f, 0.625000f, 0.625000f, 0.625000f, 0.625488f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000005f, 0.000007f, 0.000008f, + 0.000010f, 0.000011f, 0.000012f, 0.000014f, 0.000016f, 0.000016f, 0.000018f, 0.000017f, + 0.000016f, 0.000015f, 0.000014f, 0.000013f, 0.000012f, 0.000011f, 0.000010f, 0.000009f, + 0.000011f, 0.000014f, 0.000018f, 0.000018f, 0.000021f, 0.000028f, 0.000035f, 0.000053f, + 0.000136f, 0.001152f, 0.571777f, 0.575684f, 0.575684f, 0.576172f, 0.576660f, 0.576660f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, + 0.000002f, 0.000004f, 0.000004f, 0.000004f, 0.000003f, 0.000003f, 0.000002f, 0.000004f, + 0.000003f, 0.000011f, 0.520020f, 0.523926f, 0.524902f, 0.524902f, 0.524902f, 0.524902f, + }, + { + 0.119934f, 0.328857f, 0.480713f, 0.586914f, 0.663086f, 0.717773f, 0.759766f, 0.791504f, + 0.818359f, 0.838867f, 0.856934f, 0.871094f, 0.883301f, 0.894043f, 0.902832f, 0.911621f, + 0.917969f, 0.924805f, 0.930664f, 0.936035f, 0.939941f, 0.944824f, 0.948242f, 0.951660f, + 0.954590f, 0.958008f, 0.961426f, 0.962891f, 0.966309f, 0.967285f, 0.970215f, 0.972656f, + 0.973633f, 0.975586f, 0.977539f, 0.978516f, 0.979980f, 0.981445f, 0.982910f, 0.984375f, + 0.985352f, 0.986328f, 0.987793f, 0.988770f, 0.989746f, 0.990234f, 0.991699f, 0.992676f, + 0.993164f, 0.993652f, 0.994629f, 0.995117f, 0.996094f, 0.996582f, 0.997559f, 0.998047f, + 0.998535f, 0.999023f, 0.999512f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, 0.998047f, + 0.046875f, 0.160400f, 0.286621f, 0.405518f, 0.507812f, 0.590820f, 0.656250f, 0.708008f, + 0.748535f, 0.781250f, 0.809082f, 0.830566f, 0.848633f, 0.864258f, 0.877441f, 0.888672f, + 0.898926f, 0.906738f, 0.915039f, 0.921387f, 0.928223f, 0.933105f, 0.937988f, 0.942871f, + 0.946777f, 0.950684f, 0.954102f, 0.957031f, 0.959961f, 0.962402f, 0.965332f, 0.966797f, + 0.969727f, 0.971191f, 0.973145f, 0.975098f, 0.977539f, 0.978027f, 0.980469f, 0.981934f, + 0.982910f, 0.984375f, 0.985352f, 0.986816f, 0.987793f, 0.988770f, 0.989258f, 0.990723f, + 0.991699f, 0.992676f, 0.993164f, 0.993652f, 0.994629f, 0.995605f, 0.996582f, 0.996582f, + 0.997559f, 0.998047f, 0.999023f, 0.999023f, 0.999023f, 0.998535f, 0.998535f, 0.998047f, + 0.023788f, 0.084473f, 0.163696f, 0.255615f, 0.351807f, 0.445312f, 0.527832f, 0.597656f, + 0.656738f, 0.703613f, 0.742676f, 0.775879f, 0.802734f, 0.824707f, 0.843262f, 0.858887f, + 0.873047f, 0.884766f, 0.895508f, 0.903809f, 0.913086f, 0.919434f, 0.925781f, 0.931641f, + 0.937012f, 0.941406f, 0.945801f, 0.949707f, 0.953125f, 0.956543f, 0.959473f, 0.962402f, + 0.964844f, 0.967285f, 0.969238f, 0.972168f, 0.973633f, 0.975098f, 0.977539f, 0.979492f, + 0.980469f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.986816f, 0.988281f, 0.988770f, + 0.989746f, 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994629f, 0.995605f, 0.996094f, + 0.996582f, 0.997559f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.997559f, + 0.014595f, 0.050110f, 0.097717f, 0.158569f, 0.230347f, 0.311523f, 0.394531f, 0.473145f, + 0.544922f, 0.606934f, 0.660645f, 0.705566f, 0.743164f, 0.775391f, 0.800781f, 0.822266f, + 0.841309f, 0.856934f, 0.870605f, 0.883301f, 0.894043f, 0.902832f, 0.911133f, 0.918945f, + 0.925293f, 0.931152f, 0.936035f, 0.941406f, 0.945801f, 0.949707f, 0.953125f, 0.956055f, + 0.959473f, 0.962402f, 0.964844f, 0.967285f, 0.970215f, 0.972168f, 0.974121f, 0.975098f, + 0.977539f, 0.979004f, 0.980957f, 0.981934f, 0.983398f, 0.984375f, 0.985840f, 0.987305f, + 0.988281f, 0.989258f, 0.990723f, 0.991699f, 0.992676f, 0.993652f, 0.994629f, 0.995117f, + 0.995605f, 0.996582f, 0.998535f, 0.998535f, 0.998535f, 0.998047f, 0.998047f, 0.997559f, + 0.009178f, 0.032379f, 0.062561f, 0.102417f, 0.151611f, 0.210938f, 0.279785f, 0.352783f, + 0.426758f, 0.496826f, 0.561035f, 0.618164f, 0.666992f, 0.708496f, 0.744141f, 0.773926f, + 0.800781f, 0.821777f, 0.840820f, 0.856445f, 0.870117f, 0.882324f, 0.893066f, 0.901855f, + 0.910645f, 0.918457f, 0.925293f, 0.930176f, 0.935547f, 0.941406f, 0.946289f, 0.949707f, + 0.953125f, 0.956543f, 0.959961f, 0.962891f, 0.965332f, 0.967773f, 0.969727f, 0.972656f, + 0.974121f, 0.976074f, 0.977539f, 0.979492f, 0.981445f, 0.982422f, 0.984375f, 0.985840f, + 0.986328f, 0.987793f, 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, + 0.994629f, 0.995605f, 0.998047f, 0.998047f, 0.998047f, 0.997559f, 0.997559f, 0.997559f, + 0.006382f, 0.022430f, 0.042908f, 0.068970f, 0.102844f, 0.144653f, 0.195557f, 0.253906f, + 0.318848f, 0.386230f, 0.454590f, 0.518066f, 0.577148f, 0.628906f, 0.675293f, 0.714844f, + 0.748535f, 0.777344f, 0.802246f, 0.823730f, 0.841797f, 0.856934f, 0.871094f, 0.882812f, + 0.893555f, 0.902832f, 0.911133f, 0.918457f, 0.925293f, 0.930176f, 0.937012f, 0.940918f, + 0.945801f, 0.950195f, 0.953613f, 0.957031f, 0.960449f, 0.963379f, 0.966309f, 0.968262f, + 0.970703f, 0.973145f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.983398f, + 0.984375f, 0.985840f, 0.988281f, 0.988770f, 0.989746f, 0.990723f, 0.991699f, 0.992676f, + 0.993652f, 0.994629f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997559f, 0.997070f, + 0.004585f, 0.015961f, 0.030930f, 0.049133f, 0.072144f, 0.101013f, 0.137451f, 0.181519f, + 0.232544f, 0.290039f, 0.352539f, 0.416748f, 0.479736f, 0.538574f, 0.592773f, 0.641602f, + 0.684570f, 0.723145f, 0.754395f, 0.782715f, 0.805176f, 0.825195f, 0.843750f, 0.859863f, + 0.872559f, 0.884766f, 0.895020f, 0.904297f, 0.912109f, 0.919922f, 0.926270f, 0.932129f, + 0.937500f, 0.942383f, 0.946289f, 0.950195f, 0.955078f, 0.958008f, 0.961426f, 0.964355f, + 0.967285f, 0.969238f, 0.971680f, 0.974121f, 0.975586f, 0.977539f, 0.979492f, 0.980957f, + 0.982910f, 0.984375f, 0.985840f, 0.986328f, 0.988281f, 0.989746f, 0.990723f, 0.992188f, + 0.992676f, 0.993164f, 0.997559f, 0.997559f, 0.997070f, 0.997070f, 0.997070f, 0.997070f, + 0.003483f, 0.012291f, 0.023209f, 0.036041f, 0.052429f, 0.073486f, 0.099182f, 0.131226f, + 0.169678f, 0.214844f, 0.266846f, 0.323242f, 0.383545f, 0.444580f, 0.503418f, 0.559082f, + 0.609375f, 0.655762f, 0.695312f, 0.730957f, 0.760254f, 0.788086f, 0.810059f, 0.829590f, + 0.847168f, 0.862793f, 0.875488f, 0.886719f, 0.896973f, 0.906250f, 0.914551f, 0.921387f, + 0.927734f, 0.933594f, 0.938965f, 0.944336f, 0.948242f, 0.952148f, 0.956543f, 0.958984f, + 0.961914f, 0.965332f, 0.968262f, 0.970703f, 0.972656f, 0.974609f, 0.977051f, 0.979004f, + 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.986328f, 0.987793f, 0.989746f, 0.990234f, + 0.991699f, 0.992676f, 0.996582f, 0.997070f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, + 0.002962f, 0.009613f, 0.017792f, 0.027481f, 0.039429f, 0.055176f, 0.073914f, 0.096985f, + 0.125610f, 0.159180f, 0.199707f, 0.246216f, 0.297607f, 0.353760f, 0.412842f, 0.470215f, + 0.526367f, 0.578613f, 0.626953f, 0.669434f, 0.707031f, 0.740723f, 0.769043f, 0.794922f, + 0.814941f, 0.835449f, 0.851074f, 0.866699f, 0.879395f, 0.890137f, 0.899902f, 0.909180f, + 0.916992f, 0.924316f, 0.929688f, 0.936035f, 0.941406f, 0.945312f, 0.950195f, 0.953613f, + 0.957520f, 0.960938f, 0.963867f, 0.966797f, 0.969238f, 0.971680f, 0.974121f, 0.976562f, + 0.979004f, 0.979980f, 0.981934f, 0.982910f, 0.984375f, 0.986816f, 0.987793f, 0.988770f, + 0.990234f, 0.991699f, 0.996582f, 0.996582f, 0.996582f, 0.996582f, 0.996094f, 0.996094f, + 0.002077f, 0.007637f, 0.013802f, 0.021606f, 0.031006f, 0.042419f, 0.055969f, 0.073242f, + 0.094055f, 0.119446f, 0.150513f, 0.186401f, 0.228638f, 0.276123f, 0.328857f, 0.384277f, + 0.440674f, 0.496338f, 0.549805f, 0.598633f, 0.644043f, 0.683594f, 0.719727f, 0.750977f, + 0.779297f, 0.802246f, 0.823730f, 0.840820f, 0.855957f, 0.871582f, 0.882324f, 0.893555f, + 0.903809f, 0.911621f, 0.920410f, 0.926758f, 0.932617f, 0.938477f, 0.943359f, 0.947754f, + 0.953125f, 0.955566f, 0.959473f, 0.962402f, 0.965332f, 0.968262f, 0.970703f, 0.972656f, + 0.976074f, 0.977051f, 0.979492f, 0.981445f, 0.983398f, 0.984863f, 0.986328f, 0.987793f, + 0.989258f, 0.990723f, 0.995605f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.995605f, + 0.002014f, 0.006035f, 0.011299f, 0.017410f, 0.024368f, 0.033020f, 0.043701f, 0.056458f, + 0.072205f, 0.091431f, 0.114807f, 0.141968f, 0.174316f, 0.213257f, 0.256836f, 0.306152f, + 0.358887f, 0.413330f, 0.468018f, 0.520996f, 0.572266f, 0.618652f, 0.661621f, 0.699707f, + 0.732910f, 0.762695f, 0.788574f, 0.810547f, 0.830078f, 0.848145f, 0.862305f, 0.875977f, + 0.887695f, 0.898438f, 0.907227f, 0.915527f, 0.922852f, 0.929199f, 0.936035f, 0.940918f, + 0.946289f, 0.950684f, 0.953613f, 0.958496f, 0.960938f, 0.964355f, 0.967285f, 0.970215f, + 0.972656f, 0.975586f, 0.977539f, 0.979492f, 0.980957f, 0.982910f, 0.984863f, 0.986328f, + 0.987793f, 0.988770f, 0.995117f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, + 0.001496f, 0.005196f, 0.009201f, 0.013985f, 0.019806f, 0.026413f, 0.034943f, 0.044647f, + 0.056641f, 0.070923f, 0.088623f, 0.109680f, 0.135254f, 0.164795f, 0.200073f, 0.240845f, + 0.285645f, 0.335449f, 0.387939f, 0.441650f, 0.495850f, 0.546875f, 0.595215f, 0.639160f, + 0.679199f, 0.715820f, 0.746582f, 0.774414f, 0.798828f, 0.819824f, 0.837402f, 0.854492f, + 0.869629f, 0.881348f, 0.893066f, 0.902832f, 0.912109f, 0.918945f, 0.926758f, 0.933105f, + 0.938477f, 0.943359f, 0.948730f, 0.952637f, 0.956055f, 0.960449f, 0.963379f, 0.966797f, + 0.969238f, 0.972656f, 0.975098f, 0.977051f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, + 0.986328f, 0.987305f, 0.994629f, 0.995605f, 0.995117f, 0.995117f, 0.995117f, 0.994629f, + 0.001187f, 0.004314f, 0.007740f, 0.011337f, 0.016373f, 0.021759f, 0.028198f, 0.035889f, + 0.045197f, 0.056580f, 0.069946f, 0.085938f, 0.105408f, 0.128784f, 0.155884f, 0.187866f, + 0.225830f, 0.268066f, 0.315186f, 0.365479f, 0.418213f, 0.471680f, 0.522949f, 0.572754f, + 0.617676f, 0.659668f, 0.697754f, 0.730957f, 0.760742f, 0.787109f, 0.809570f, 0.830078f, + 0.846680f, 0.862793f, 0.875488f, 0.888184f, 0.898926f, 0.907715f, 0.916016f, 0.923340f, + 0.930664f, 0.936523f, 0.941895f, 0.947754f, 0.951660f, 0.955566f, 0.959473f, 0.963867f, + 0.966309f, 0.969238f, 0.972168f, 0.974121f, 0.976562f, 0.979004f, 0.980957f, 0.982910f, + 0.984863f, 0.986816f, 0.994141f, 0.994629f, 0.994629f, 0.994629f, 0.994629f, 0.994141f, + 0.001187f, 0.003733f, 0.006496f, 0.009918f, 0.013634f, 0.017899f, 0.023026f, 0.029343f, + 0.036621f, 0.045227f, 0.055786f, 0.068298f, 0.083740f, 0.101135f, 0.122314f, 0.147827f, + 0.177612f, 0.212891f, 0.252686f, 0.297119f, 0.345215f, 0.395996f, 0.448730f, 0.500488f, + 0.550781f, 0.597656f, 0.641113f, 0.680664f, 0.716309f, 0.747559f, 0.774414f, 0.799316f, + 0.820312f, 0.838867f, 0.855957f, 0.870117f, 0.883301f, 0.894531f, 0.904785f, 0.913086f, + 0.920898f, 0.928223f, 0.935059f, 0.940430f, 0.945312f, 0.950684f, 0.955566f, 0.958496f, + 0.962891f, 0.965820f, 0.968750f, 0.971680f, 0.974609f, 0.976562f, 0.978516f, 0.980957f, + 0.982910f, 0.984863f, 0.994141f, 0.994141f, 0.994629f, 0.994141f, 0.994141f, 0.994629f, + 0.000998f, 0.003178f, 0.005444f, 0.008179f, 0.011337f, 0.015091f, 0.019058f, 0.024368f, + 0.029587f, 0.037140f, 0.045197f, 0.055115f, 0.066772f, 0.080688f, 0.097229f, 0.117371f, + 0.140869f, 0.169312f, 0.201538f, 0.238770f, 0.280762f, 0.326660f, 0.376709f, 0.427490f, + 0.479248f, 0.530273f, 0.578613f, 0.623535f, 0.664551f, 0.701660f, 0.733887f, 0.763672f, + 0.790039f, 0.812500f, 0.832520f, 0.849121f, 0.865234f, 0.878906f, 0.890625f, 0.901367f, + 0.910645f, 0.919434f, 0.926758f, 0.933105f, 0.939453f, 0.944824f, 0.949707f, 0.954590f, + 0.958008f, 0.961914f, 0.965332f, 0.968750f, 0.971680f, 0.974121f, 0.977051f, 0.979004f, + 0.980957f, 0.982910f, 0.993164f, 0.993164f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, + 0.000948f, 0.002638f, 0.004784f, 0.007153f, 0.009590f, 0.012505f, 0.016388f, 0.020599f, + 0.025299f, 0.031097f, 0.037323f, 0.045197f, 0.054047f, 0.065002f, 0.078674f, 0.094055f, + 0.112305f, 0.134399f, 0.160889f, 0.191040f, 0.226318f, 0.265869f, 0.310303f, 0.358154f, + 0.409180f, 0.459473f, 0.510254f, 0.559082f, 0.606445f, 0.648926f, 0.687500f, 0.722168f, + 0.753418f, 0.781250f, 0.804199f, 0.825684f, 0.843262f, 0.860840f, 0.874512f, 0.886719f, + 0.898926f, 0.907227f, 0.916992f, 0.924805f, 0.932129f, 0.937988f, 0.943848f, 0.949219f, + 0.954102f, 0.958496f, 0.961426f, 0.965332f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, + 0.979492f, 0.981445f, 0.992188f, 0.993164f, 0.993164f, 0.993164f, 0.993164f, 0.992676f, + 0.000696f, 0.002352f, 0.004002f, 0.006138f, 0.008446f, 0.010826f, 0.013840f, 0.017258f, + 0.021194f, 0.025970f, 0.031128f, 0.037140f, 0.044281f, 0.053436f, 0.063660f, 0.076050f, + 0.090271f, 0.107727f, 0.128662f, 0.152832f, 0.182007f, 0.214111f, 0.252930f, 0.295166f, + 0.341553f, 0.390625f, 0.442139f, 0.492676f, 0.541992f, 0.589844f, 0.633301f, 0.674316f, + 0.710938f, 0.743652f, 0.772461f, 0.796875f, 0.819824f, 0.839355f, 0.854980f, 0.870605f, + 0.884277f, 0.895508f, 0.906738f, 0.915527f, 0.923828f, 0.931152f, 0.937500f, 0.944336f, + 0.949219f, 0.953613f, 0.958008f, 0.962402f, 0.965332f, 0.968750f, 0.972168f, 0.974609f, + 0.977051f, 0.979980f, 0.991211f, 0.992676f, 0.992188f, 0.992188f, 0.992188f, 0.992676f, + 0.000838f, 0.002033f, 0.003664f, 0.005077f, 0.007282f, 0.009415f, 0.011749f, 0.014931f, + 0.017853f, 0.021606f, 0.025864f, 0.031219f, 0.037231f, 0.044464f, 0.052338f, 0.062500f, + 0.073853f, 0.087463f, 0.104065f, 0.123230f, 0.146362f, 0.173340f, 0.205078f, 0.240845f, + 0.281982f, 0.326660f, 0.374756f, 0.425049f, 0.476807f, 0.526855f, 0.574219f, 0.620117f, + 0.662598f, 0.699219f, 0.733398f, 0.764160f, 0.791016f, 0.813965f, 0.833984f, 0.851074f, + 0.867676f, 0.880859f, 0.893555f, 0.904785f, 0.914062f, 0.922852f, 0.930176f, 0.937012f, + 0.942383f, 0.948242f, 0.953125f, 0.957520f, 0.962402f, 0.966309f, 0.969238f, 0.973145f, + 0.975098f, 0.978027f, 0.991699f, 0.991699f, 0.992676f, 0.992188f, 0.991699f, 0.992188f, + 0.000600f, 0.001687f, 0.003023f, 0.004963f, 0.006405f, 0.008163f, 0.010368f, 0.012718f, + 0.015480f, 0.018311f, 0.022064f, 0.026169f, 0.031097f, 0.036926f, 0.043457f, 0.051392f, + 0.060669f, 0.071350f, 0.084473f, 0.100220f, 0.118103f, 0.140259f, 0.166016f, 0.195679f, + 0.230469f, 0.269531f, 0.313232f, 0.360596f, 0.410156f, 0.460693f, 0.511719f, 0.560547f, + 0.607422f, 0.650879f, 0.689941f, 0.724609f, 0.756348f, 0.784180f, 0.808594f, 0.828613f, + 0.847656f, 0.864258f, 0.879395f, 0.892090f, 0.903320f, 0.912598f, 0.921875f, 0.929688f, + 0.936523f, 0.942871f, 0.947754f, 0.953125f, 0.957520f, 0.961914f, 0.966309f, 0.969238f, + 0.972656f, 0.975586f, 0.990234f, 0.991211f, 0.991211f, 0.991699f, 0.991211f, 0.991211f, + 0.000269f, 0.001538f, 0.002800f, 0.003868f, 0.005524f, 0.007179f, 0.008987f, 0.011063f, + 0.013084f, 0.015747f, 0.019211f, 0.022324f, 0.026474f, 0.031311f, 0.036530f, 0.042969f, + 0.050201f, 0.059174f, 0.069641f, 0.081543f, 0.096680f, 0.114075f, 0.134644f, 0.158691f, + 0.187622f, 0.220581f, 0.258301f, 0.300781f, 0.347168f, 0.395996f, 0.447266f, 0.498291f, + 0.547852f, 0.595215f, 0.640625f, 0.680176f, 0.717285f, 0.749512f, 0.778320f, 0.803223f, + 0.825684f, 0.845215f, 0.862793f, 0.877441f, 0.890625f, 0.901855f, 0.912109f, 0.920898f, + 0.929688f, 0.937012f, 0.942871f, 0.949707f, 0.954102f, 0.958496f, 0.962402f, 0.966309f, + 0.970215f, 0.974121f, 0.989746f, 0.990234f, 0.990723f, 0.990723f, 0.990723f, 0.990234f, + 0.000341f, 0.001337f, 0.002573f, 0.003475f, 0.004765f, 0.006329f, 0.007717f, 0.009499f, + 0.011642f, 0.014107f, 0.016556f, 0.019470f, 0.022491f, 0.026169f, 0.030945f, 0.036011f, + 0.042389f, 0.049042f, 0.057678f, 0.067993f, 0.079468f, 0.093384f, 0.110046f, 0.129883f, + 0.152710f, 0.180420f, 0.212158f, 0.248291f, 0.289551f, 0.334961f, 0.383301f, 0.434570f, + 0.485596f, 0.536133f, 0.584473f, 0.630371f, 0.671875f, 0.710449f, 0.743652f, 0.773926f, + 0.799316f, 0.823242f, 0.843262f, 0.860352f, 0.875977f, 0.889648f, 0.901367f, 0.911621f, + 0.921387f, 0.929688f, 0.937012f, 0.943848f, 0.950195f, 0.955078f, 0.959473f, 0.963379f, + 0.967773f, 0.971191f, 0.988770f, 0.989746f, 0.990234f, 0.990234f, 0.990234f, 0.990234f, + 0.000564f, 0.001324f, 0.002092f, 0.003191f, 0.004471f, 0.005348f, 0.007069f, 0.008438f, + 0.010201f, 0.011810f, 0.014297f, 0.016586f, 0.019470f, 0.022644f, 0.026428f, 0.030579f, + 0.035797f, 0.041718f, 0.048248f, 0.056213f, 0.065857f, 0.076782f, 0.090271f, 0.106262f, + 0.125122f, 0.147095f, 0.173462f, 0.204224f, 0.239746f, 0.279785f, 0.323730f, 0.372314f, + 0.422607f, 0.474121f, 0.526367f, 0.575195f, 0.621582f, 0.664062f, 0.703613f, 0.738770f, + 0.769043f, 0.796387f, 0.820312f, 0.841797f, 0.858887f, 0.875488f, 0.889648f, 0.900879f, + 0.912598f, 0.921875f, 0.930664f, 0.937500f, 0.944336f, 0.950195f, 0.955566f, 0.959961f, + 0.964844f, 0.968750f, 0.987305f, 0.989258f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, + 0.000369f, 0.001128f, 0.001871f, 0.002792f, 0.003712f, 0.004723f, 0.006016f, 0.007542f, + 0.008896f, 0.010773f, 0.012421f, 0.014381f, 0.016632f, 0.019791f, 0.022354f, 0.025955f, + 0.030609f, 0.035065f, 0.040924f, 0.047333f, 0.055084f, 0.064209f, 0.075012f, 0.087769f, + 0.102966f, 0.120911f, 0.142456f, 0.167358f, 0.197144f, 0.231812f, 0.270752f, 0.314209f, + 0.362549f, 0.412598f, 0.464844f, 0.515625f, 0.566895f, 0.614258f, 0.657715f, 0.698730f, + 0.734863f, 0.766602f, 0.794922f, 0.818848f, 0.839844f, 0.858887f, 0.875000f, 0.889648f, + 0.901855f, 0.912598f, 0.922852f, 0.931152f, 0.938965f, 0.945312f, 0.951660f, 0.957520f, + 0.961426f, 0.966309f, 0.986816f, 0.988281f, 0.988281f, 0.988770f, 0.988281f, 0.988281f, + 0.000466f, 0.000900f, 0.001792f, 0.002695f, 0.003458f, 0.004204f, 0.005356f, 0.006512f, + 0.007896f, 0.009300f, 0.010895f, 0.012459f, 0.014786f, 0.016739f, 0.019424f, 0.022461f, + 0.026062f, 0.029831f, 0.034851f, 0.039764f, 0.046417f, 0.053711f, 0.062164f, 0.072388f, + 0.085205f, 0.099365f, 0.117004f, 0.137573f, 0.162231f, 0.190674f, 0.224121f, 0.262451f, + 0.305664f, 0.353027f, 0.403809f, 0.456055f, 0.508301f, 0.559082f, 0.608398f, 0.652832f, + 0.694824f, 0.731445f, 0.764160f, 0.793945f, 0.817871f, 0.839355f, 0.858398f, 0.875488f, + 0.890137f, 0.902832f, 0.913574f, 0.923828f, 0.932617f, 0.940918f, 0.946777f, 0.953613f, + 0.958984f, 0.963379f, 0.985840f, 0.987305f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, + 0.000234f, 0.001040f, 0.001661f, 0.002392f, 0.003101f, 0.003681f, 0.004944f, 0.005844f, + 0.007065f, 0.008217f, 0.009247f, 0.010925f, 0.012894f, 0.014549f, 0.017090f, 0.019455f, + 0.022385f, 0.025650f, 0.029449f, 0.033936f, 0.039215f, 0.045135f, 0.052612f, 0.060944f, + 0.070312f, 0.082397f, 0.096924f, 0.113525f, 0.133179f, 0.156860f, 0.184814f, 0.217773f, + 0.255127f, 0.298340f, 0.345215f, 0.395996f, 0.448242f, 0.501953f, 0.553223f, 0.603516f, + 0.649414f, 0.691895f, 0.729980f, 0.763184f, 0.792480f, 0.818359f, 0.841309f, 0.858887f, + 0.877441f, 0.891113f, 0.904785f, 0.915527f, 0.925781f, 0.933594f, 0.941895f, 0.949219f, + 0.955566f, 0.960449f, 0.984863f, 0.985840f, 0.986328f, 0.986816f, 0.986328f, 0.986816f, + 0.000241f, 0.000808f, 0.001395f, 0.001986f, 0.002731f, 0.003429f, 0.004131f, 0.005402f, + 0.006077f, 0.007347f, 0.008522f, 0.009544f, 0.011345f, 0.013046f, 0.014534f, 0.016953f, + 0.019241f, 0.022339f, 0.025208f, 0.029175f, 0.033691f, 0.038300f, 0.044067f, 0.051331f, + 0.059143f, 0.068726f, 0.080322f, 0.093567f, 0.109802f, 0.129883f, 0.152466f, 0.179810f, + 0.211792f, 0.249390f, 0.291748f, 0.338623f, 0.389404f, 0.442139f, 0.496338f, 0.548340f, + 0.599121f, 0.645996f, 0.689941f, 0.728516f, 0.762695f, 0.792969f, 0.818848f, 0.842285f, + 0.862793f, 0.878906f, 0.894043f, 0.906250f, 0.917969f, 0.927734f, 0.935547f, 0.944336f, + 0.951172f, 0.957031f, 0.983398f, 0.985352f, 0.985840f, 0.985352f, 0.985840f, 0.985352f, + 0.000340f, 0.000735f, 0.001377f, 0.001853f, 0.002382f, 0.003159f, 0.004021f, 0.004642f, + 0.005604f, 0.006340f, 0.007298f, 0.008591f, 0.009895f, 0.011154f, 0.012871f, 0.014580f, + 0.016876f, 0.019180f, 0.022141f, 0.024979f, 0.028748f, 0.032745f, 0.037964f, 0.043213f, + 0.050171f, 0.057831f, 0.066833f, 0.078247f, 0.091553f, 0.107178f, 0.125977f, 0.148315f, + 0.175415f, 0.207153f, 0.244019f, 0.286377f, 0.333008f, 0.383789f, 0.437744f, 0.491943f, + 0.545410f, 0.597168f, 0.645508f, 0.688965f, 0.729004f, 0.764160f, 0.794434f, 0.821289f, + 0.843750f, 0.864258f, 0.881348f, 0.895996f, 0.909180f, 0.920898f, 0.929199f, 0.938965f, + 0.946777f, 0.952637f, 0.982910f, 0.983887f, 0.984863f, 0.984863f, 0.984375f, 0.984863f, + 0.000236f, 0.000605f, 0.001135f, 0.001415f, 0.002329f, 0.002747f, 0.003551f, 0.004158f, + 0.004723f, 0.005535f, 0.006687f, 0.007534f, 0.008545f, 0.009979f, 0.011375f, 0.012993f, + 0.014656f, 0.016754f, 0.018921f, 0.021759f, 0.024506f, 0.028183f, 0.032043f, 0.036743f, + 0.042236f, 0.048645f, 0.056030f, 0.065125f, 0.075928f, 0.089050f, 0.104370f, 0.122681f, + 0.145142f, 0.171509f, 0.202759f, 0.239258f, 0.281250f, 0.328369f, 0.379639f, 0.433838f, + 0.489014f, 0.543945f, 0.596191f, 0.645020f, 0.690430f, 0.730957f, 0.766113f, 0.797852f, + 0.824219f, 0.846680f, 0.867188f, 0.884766f, 0.899414f, 0.912109f, 0.923828f, 0.933105f, + 0.942383f, 0.949707f, 0.980957f, 0.982910f, 0.983398f, 0.983398f, 0.983887f, 0.982910f, + 0.000214f, 0.000710f, 0.001021f, 0.001429f, 0.001858f, 0.002607f, 0.003220f, 0.003738f, + 0.004459f, 0.005032f, 0.005726f, 0.006748f, 0.007748f, 0.008659f, 0.010002f, 0.011368f, + 0.012985f, 0.014656f, 0.016525f, 0.018921f, 0.021286f, 0.024231f, 0.027649f, 0.031464f, + 0.035858f, 0.041321f, 0.047363f, 0.054840f, 0.063538f, 0.074097f, 0.086609f, 0.101990f, + 0.120117f, 0.141846f, 0.168213f, 0.199219f, 0.235352f, 0.277344f, 0.324707f, 0.376953f, + 0.432373f, 0.488037f, 0.543457f, 0.597168f, 0.646973f, 0.692871f, 0.732910f, 0.769531f, + 0.801270f, 0.828125f, 0.850586f, 0.871582f, 0.888184f, 0.903809f, 0.915527f, 0.927246f, + 0.936523f, 0.946289f, 0.979492f, 0.981445f, 0.981934f, 0.982422f, 0.981934f, 0.981934f, + 0.000000f, 0.000468f, 0.001076f, 0.001489f, 0.002048f, 0.002413f, 0.002853f, 0.003468f, + 0.003952f, 0.004444f, 0.005211f, 0.005917f, 0.006733f, 0.007763f, 0.008713f, 0.010262f, + 0.011368f, 0.012733f, 0.014458f, 0.016296f, 0.018478f, 0.021072f, 0.023666f, 0.026810f, + 0.030746f, 0.035278f, 0.040131f, 0.046295f, 0.053711f, 0.062195f, 0.072327f, 0.084717f, + 0.099487f, 0.117371f, 0.139038f, 0.164795f, 0.195923f, 0.232422f, 0.274414f, 0.322266f, + 0.374756f, 0.431641f, 0.488525f, 0.545410f, 0.599121f, 0.650879f, 0.697754f, 0.738770f, + 0.774414f, 0.806641f, 0.832520f, 0.856445f, 0.875488f, 0.893555f, 0.907715f, 0.920410f, + 0.931152f, 0.940918f, 0.978027f, 0.980469f, 0.980469f, 0.980957f, 0.980957f, 0.980957f, + 0.000279f, 0.000497f, 0.000763f, 0.001353f, 0.001794f, 0.002079f, 0.002451f, 0.002956f, + 0.003498f, 0.004150f, 0.004589f, 0.005310f, 0.006130f, 0.006958f, 0.007828f, 0.008888f, + 0.009895f, 0.011124f, 0.012772f, 0.014282f, 0.016235f, 0.018127f, 0.020630f, 0.022873f, + 0.026321f, 0.029938f, 0.034241f, 0.039368f, 0.045319f, 0.052338f, 0.060852f, 0.070801f, + 0.082947f, 0.097595f, 0.115051f, 0.136353f, 0.162231f, 0.193481f, 0.229858f, 0.272217f, + 0.321777f, 0.375000f, 0.432373f, 0.490479f, 0.548340f, 0.604004f, 0.655762f, 0.702637f, + 0.743652f, 0.780273f, 0.812500f, 0.838867f, 0.862305f, 0.881348f, 0.897949f, 0.912598f, + 0.925293f, 0.935547f, 0.976562f, 0.978516f, 0.979492f, 0.979980f, 0.979492f, 0.979004f, + 0.000110f, 0.000473f, 0.000781f, 0.001262f, 0.001584f, 0.001890f, 0.002270f, 0.002607f, + 0.003241f, 0.003704f, 0.004055f, 0.004795f, 0.005356f, 0.005997f, 0.006760f, 0.007896f, + 0.008896f, 0.009918f, 0.011200f, 0.012451f, 0.013802f, 0.015556f, 0.017838f, 0.020065f, + 0.022751f, 0.025864f, 0.029358f, 0.033600f, 0.038574f, 0.044342f, 0.050995f, 0.059296f, + 0.069214f, 0.081116f, 0.095459f, 0.113159f, 0.133911f, 0.160400f, 0.191406f, 0.228638f, + 0.272217f, 0.321289f, 0.375732f, 0.434326f, 0.493896f, 0.552734f, 0.609863f, 0.662109f, + 0.709961f, 0.750977f, 0.787598f, 0.819336f, 0.846680f, 0.868164f, 0.887695f, 0.904297f, + 0.917969f, 0.930176f, 0.975098f, 0.977539f, 0.977051f, 0.977539f, 0.977539f, 0.977539f, + 0.000242f, 0.000464f, 0.000831f, 0.001027f, 0.001271f, 0.001722f, 0.001965f, 0.002243f, + 0.002714f, 0.003036f, 0.003651f, 0.004025f, 0.004902f, 0.005638f, 0.006176f, 0.006943f, + 0.007763f, 0.008789f, 0.009804f, 0.010872f, 0.012070f, 0.013695f, 0.015381f, 0.017395f, + 0.019608f, 0.022232f, 0.025009f, 0.028885f, 0.032623f, 0.037659f, 0.043182f, 0.050018f, + 0.058167f, 0.067810f, 0.079224f, 0.093811f, 0.111328f, 0.132324f, 0.158569f, 0.190063f, + 0.228149f, 0.271973f, 0.322510f, 0.378906f, 0.438477f, 0.499756f, 0.560059f, 0.618164f, + 0.671387f, 0.718750f, 0.760742f, 0.796875f, 0.826660f, 0.854492f, 0.875000f, 0.894531f, + 0.911133f, 0.923828f, 0.973145f, 0.976074f, 0.975586f, 0.976074f, 0.976074f, 0.977051f, + 0.000242f, 0.000552f, 0.000701f, 0.001063f, 0.001186f, 0.001462f, 0.001690f, 0.002340f, + 0.002703f, 0.002728f, 0.003325f, 0.003828f, 0.004333f, 0.004913f, 0.005474f, 0.006077f, + 0.006943f, 0.007607f, 0.008553f, 0.009460f, 0.010582f, 0.011871f, 0.013451f, 0.015091f, + 0.016983f, 0.019165f, 0.021637f, 0.024673f, 0.027863f, 0.031525f, 0.036713f, 0.041962f, + 0.048615f, 0.056396f, 0.066162f, 0.077942f, 0.092590f, 0.110046f, 0.130981f, 0.157593f, + 0.189331f, 0.228394f, 0.273926f, 0.325684f, 0.383301f, 0.444580f, 0.507324f, 0.569824f, + 0.627441f, 0.682129f, 0.729980f, 0.770508f, 0.807129f, 0.837402f, 0.863281f, 0.884766f, + 0.902832f, 0.917969f, 0.971191f, 0.973633f, 0.974609f, 0.974121f, 0.974609f, 0.974609f, + 0.000239f, 0.000239f, 0.000658f, 0.000899f, 0.001204f, 0.001252f, 0.001629f, 0.001815f, + 0.002470f, 0.002430f, 0.003134f, 0.003321f, 0.003925f, 0.004238f, 0.004856f, 0.005341f, + 0.006161f, 0.006615f, 0.007511f, 0.008224f, 0.009277f, 0.010445f, 0.011818f, 0.013046f, + 0.014473f, 0.016510f, 0.018814f, 0.021057f, 0.023834f, 0.027237f, 0.030853f, 0.035675f, + 0.040894f, 0.047241f, 0.055145f, 0.064758f, 0.076782f, 0.090942f, 0.108398f, 0.130371f, + 0.157104f, 0.189819f, 0.229248f, 0.276367f, 0.329834f, 0.390137f, 0.453125f, 0.517578f, + 0.580566f, 0.640625f, 0.694336f, 0.741699f, 0.782715f, 0.817871f, 0.848145f, 0.872559f, + 0.893555f, 0.910645f, 0.969727f, 0.971191f, 0.972656f, 0.972168f, 0.972168f, 0.972168f, + 0.000222f, 0.000463f, 0.000620f, 0.000837f, 0.000900f, 0.001048f, 0.001381f, 0.001820f, + 0.001957f, 0.002329f, 0.002747f, 0.002964f, 0.003330f, 0.003986f, 0.004322f, 0.004677f, + 0.005302f, 0.005760f, 0.006569f, 0.007359f, 0.008141f, 0.009293f, 0.010101f, 0.011452f, + 0.012779f, 0.014496f, 0.016144f, 0.018097f, 0.020157f, 0.023148f, 0.026611f, 0.029785f, + 0.034515f, 0.039856f, 0.046478f, 0.054016f, 0.063843f, 0.075378f, 0.089233f, 0.107666f, + 0.129639f, 0.156860f, 0.190674f, 0.231445f, 0.280518f, 0.336426f, 0.398193f, 0.463379f, + 0.530273f, 0.595215f, 0.654785f, 0.708984f, 0.755371f, 0.796875f, 0.831543f, 0.860352f, + 0.883789f, 0.903809f, 0.966797f, 0.968750f, 0.969727f, 0.970215f, 0.970215f, 0.969727f, + 0.000000f, 0.000345f, 0.000464f, 0.000686f, 0.000782f, 0.001030f, 0.001139f, 0.001598f, + 0.001846f, 0.002237f, 0.002489f, 0.002684f, 0.003067f, 0.003344f, 0.003895f, 0.004158f, + 0.004845f, 0.005131f, 0.005886f, 0.006561f, 0.007195f, 0.007912f, 0.008965f, 0.009941f, + 0.010956f, 0.012383f, 0.013893f, 0.015602f, 0.017303f, 0.019623f, 0.022156f, 0.025452f, + 0.028976f, 0.033722f, 0.038910f, 0.045288f, 0.052887f, 0.062561f, 0.074097f, 0.088623f, + 0.106812f, 0.129639f, 0.157715f, 0.192261f, 0.235107f, 0.285889f, 0.344482f, 0.408691f, + 0.476807f, 0.545410f, 0.610840f, 0.671387f, 0.725098f, 0.771484f, 0.811035f, 0.843750f, + 0.871582f, 0.894043f, 0.964355f, 0.967285f, 0.967285f, 0.967773f, 0.967773f, 0.967773f, + 0.000000f, 0.000320f, 0.000576f, 0.000572f, 0.000767f, 0.000945f, 0.001066f, 0.001375f, + 0.001848f, 0.001980f, 0.002190f, 0.002399f, 0.002695f, 0.002943f, 0.003397f, 0.003664f, + 0.004063f, 0.004566f, 0.005119f, 0.005688f, 0.006130f, 0.007057f, 0.007778f, 0.008675f, + 0.009590f, 0.010666f, 0.011971f, 0.013443f, 0.015129f, 0.016953f, 0.018875f, 0.021576f, + 0.024658f, 0.028488f, 0.032959f, 0.037811f, 0.043793f, 0.051819f, 0.061371f, 0.073181f, + 0.088257f, 0.106506f, 0.129883f, 0.159180f, 0.195679f, 0.240479f, 0.293457f, 0.355225f, + 0.422852f, 0.492432f, 0.563477f, 0.629883f, 0.690918f, 0.743652f, 0.789062f, 0.827148f, + 0.858398f, 0.884277f, 0.961914f, 0.964844f, 0.964355f, 0.964844f, 0.964355f, 0.965332f, + 0.000000f, 0.000242f, 0.000435f, 0.000547f, 0.000688f, 0.000803f, 0.001175f, 0.001318f, + 0.001593f, 0.001652f, 0.001961f, 0.002209f, 0.002481f, 0.002716f, 0.002911f, 0.003210f, + 0.003595f, 0.004005f, 0.004490f, 0.004894f, 0.005508f, 0.006107f, 0.006714f, 0.007462f, + 0.008438f, 0.009277f, 0.010170f, 0.011436f, 0.012756f, 0.014145f, 0.016205f, 0.018433f, + 0.020966f, 0.023819f, 0.027405f, 0.031464f, 0.036713f, 0.043152f, 0.050842f, 0.060577f, + 0.071960f, 0.087219f, 0.106689f, 0.130371f, 0.161377f, 0.199585f, 0.246948f, 0.303467f, + 0.367920f, 0.439697f, 0.512207f, 0.584473f, 0.651855f, 0.712402f, 0.764160f, 0.808105f, + 0.844727f, 0.875000f, 0.958008f, 0.961426f, 0.961914f, 0.961914f, 0.962402f, 0.961914f, + 0.000000f, 0.000237f, 0.000266f, 0.000387f, 0.000557f, 0.000691f, 0.000774f, 0.001221f, + 0.001455f, 0.001492f, 0.001769f, 0.001896f, 0.002151f, 0.002386f, 0.002529f, 0.002911f, + 0.003147f, 0.003523f, 0.003862f, 0.004311f, 0.004848f, 0.005260f, 0.005795f, 0.006416f, + 0.007114f, 0.007942f, 0.008667f, 0.009666f, 0.010818f, 0.012184f, 0.013718f, 0.015541f, + 0.017685f, 0.020126f, 0.023056f, 0.026306f, 0.030853f, 0.035797f, 0.042053f, 0.049683f, + 0.059784f, 0.072144f, 0.086914f, 0.106873f, 0.132202f, 0.164429f, 0.205200f, 0.255615f, + 0.315918f, 0.384521f, 0.458984f, 0.534668f, 0.607910f, 0.676758f, 0.735840f, 0.785645f, + 0.828125f, 0.862305f, 0.955566f, 0.958008f, 0.958984f, 0.958496f, 0.958984f, 0.958984f, + 0.000000f, 0.000119f, 0.000234f, 0.000484f, 0.000603f, 0.000758f, 0.000934f, 0.000999f, + 0.001200f, 0.001343f, 0.001534f, 0.001725f, 0.001860f, 0.002056f, 0.002235f, 0.002445f, + 0.002783f, 0.003115f, 0.003448f, 0.003757f, 0.004192f, 0.004723f, 0.005077f, 0.005653f, + 0.006172f, 0.006527f, 0.007328f, 0.008247f, 0.009140f, 0.010368f, 0.011711f, 0.013351f, + 0.014702f, 0.016937f, 0.019226f, 0.022156f, 0.025604f, 0.029877f, 0.034668f, 0.040710f, + 0.048920f, 0.058624f, 0.071289f, 0.087219f, 0.107727f, 0.134521f, 0.168701f, 0.212769f, + 0.267090f, 0.331543f, 0.404785f, 0.482910f, 0.561523f, 0.635742f, 0.702637f, 0.760742f, + 0.809570f, 0.849121f, 0.951660f, 0.954590f, 0.955566f, 0.955566f, 0.956055f, 0.955566f, + 0.000238f, 0.000218f, 0.000229f, 0.000242f, 0.000313f, 0.000859f, 0.000623f, 0.000978f, + 0.001021f, 0.001150f, 0.001320f, 0.001431f, 0.001546f, 0.001746f, 0.001895f, 0.002106f, + 0.002502f, 0.002630f, 0.002926f, 0.003296f, 0.003651f, 0.003918f, 0.004391f, 0.004910f, + 0.005249f, 0.005558f, 0.006413f, 0.007114f, 0.007866f, 0.008789f, 0.009872f, 0.011093f, + 0.012413f, 0.013939f, 0.015945f, 0.018692f, 0.021225f, 0.024643f, 0.028687f, 0.033936f, + 0.040192f, 0.047791f, 0.058014f, 0.070923f, 0.087585f, 0.109131f, 0.137573f, 0.174683f, + 0.222290f, 0.280762f, 0.350830f, 0.428955f, 0.511230f, 0.592285f, 0.666992f, 0.733398f, + 0.789062f, 0.834473f, 0.947754f, 0.951172f, 0.951660f, 0.951172f, 0.951660f, 0.951172f, + 0.000000f, 0.000205f, 0.000222f, 0.000344f, 0.000301f, 0.000775f, 0.000827f, 0.000719f, + 0.000944f, 0.000976f, 0.001306f, 0.001249f, 0.001404f, 0.001569f, 0.001604f, 0.001819f, + 0.002182f, 0.002354f, 0.002569f, 0.002857f, 0.003113f, 0.003426f, 0.003649f, 0.004112f, + 0.004307f, 0.004925f, 0.005508f, 0.005802f, 0.006565f, 0.007450f, 0.008125f, 0.009079f, + 0.010269f, 0.011665f, 0.013565f, 0.015213f, 0.017410f, 0.020203f, 0.023743f, 0.028168f, + 0.032684f, 0.039062f, 0.047058f, 0.057404f, 0.070984f, 0.088623f, 0.111389f, 0.142090f, + 0.182373f, 0.234253f, 0.298828f, 0.375000f, 0.458008f, 0.543945f, 0.627441f, 0.702148f, + 0.765137f, 0.818359f, 0.942871f, 0.946289f, 0.947266f, 0.947266f, 0.946777f, 0.947266f, + 0.000064f, 0.000095f, 0.000197f, 0.000213f, 0.000459f, 0.000491f, 0.000647f, 0.000696f, + 0.000884f, 0.000911f, 0.001121f, 0.001115f, 0.001234f, 0.001371f, 0.001410f, 0.001743f, + 0.001905f, 0.002016f, 0.002207f, 0.002438f, 0.002714f, 0.002939f, 0.003183f, 0.003323f, + 0.003727f, 0.004143f, 0.004555f, 0.005276f, 0.005531f, 0.006264f, 0.006702f, 0.007572f, + 0.008705f, 0.009712f, 0.011238f, 0.012650f, 0.014320f, 0.016815f, 0.019516f, 0.022400f, + 0.026566f, 0.031799f, 0.038055f, 0.046417f, 0.057037f, 0.071350f, 0.089722f, 0.114868f, + 0.148193f, 0.192749f, 0.249878f, 0.321045f, 0.404053f, 0.493408f, 0.583008f, 0.666016f, + 0.739258f, 0.799316f, 0.937988f, 0.941406f, 0.941895f, 0.942383f, 0.942383f, 0.942383f, + 0.000000f, 0.000007f, 0.000144f, 0.000427f, 0.000443f, 0.000566f, 0.000589f, 0.000615f, + 0.000725f, 0.000731f, 0.000896f, 0.000953f, 0.001062f, 0.001167f, 0.001344f, 0.001345f, + 0.001636f, 0.001774f, 0.001893f, 0.002069f, 0.002350f, 0.002457f, 0.002678f, 0.002743f, + 0.003105f, 0.003513f, 0.003830f, 0.004227f, 0.004589f, 0.005047f, 0.005669f, 0.006176f, + 0.007153f, 0.007896f, 0.008911f, 0.010231f, 0.011818f, 0.013618f, 0.015465f, 0.018188f, + 0.021576f, 0.025452f, 0.030533f, 0.037048f, 0.045685f, 0.056915f, 0.071533f, 0.091675f, + 0.118958f, 0.156006f, 0.205444f, 0.270020f, 0.349609f, 0.439941f, 0.533691f, 0.625977f, + 0.708984f, 0.778320f, 0.931641f, 0.936035f, 0.936523f, 0.937012f, 0.937012f, 0.937012f, + 0.000000f, 0.000000f, 0.000137f, 0.000262f, 0.000432f, 0.000437f, 0.000444f, 0.000590f, + 0.000558f, 0.000606f, 0.000817f, 0.000877f, 0.000909f, 0.000951f, 0.001191f, 0.001244f, + 0.001373f, 0.001506f, 0.001702f, 0.001690f, 0.001955f, 0.001940f, 0.002283f, 0.002340f, + 0.002571f, 0.002871f, 0.003265f, 0.003475f, 0.003910f, 0.004181f, 0.004608f, 0.005112f, + 0.005833f, 0.006416f, 0.007145f, 0.008209f, 0.009636f, 0.010750f, 0.012642f, 0.014481f, + 0.017197f, 0.020203f, 0.024353f, 0.029694f, 0.036041f, 0.045105f, 0.056702f, 0.072388f, + 0.094482f, 0.124329f, 0.166504f, 0.223022f, 0.295898f, 0.384766f, 0.482910f, 0.582031f, + 0.675293f, 0.754883f, 0.926270f, 0.929688f, 0.930664f, 0.930664f, 0.931152f, 0.930664f, + 0.000000f, 0.000000f, 0.000000f, 0.000232f, 0.000357f, 0.000411f, 0.000513f, 0.000527f, + 0.000490f, 0.000504f, 0.000653f, 0.000750f, 0.000780f, 0.000976f, 0.000942f, 0.000967f, + 0.001180f, 0.001252f, 0.001385f, 0.001425f, 0.001559f, 0.001801f, 0.001886f, 0.002144f, + 0.002111f, 0.002354f, 0.002645f, 0.002827f, 0.003187f, 0.003414f, 0.003792f, 0.004360f, + 0.004662f, 0.005146f, 0.005875f, 0.006783f, 0.007610f, 0.008797f, 0.010033f, 0.011566f, + 0.013565f, 0.016006f, 0.019165f, 0.023163f, 0.028320f, 0.035400f, 0.044647f, 0.057129f, + 0.074402f, 0.098572f, 0.132812f, 0.180542f, 0.245728f, 0.330078f, 0.428955f, 0.535156f, + 0.638184f, 0.728516f, 0.919434f, 0.922852f, 0.923828f, 0.923828f, 0.923828f, 0.924316f, + 0.000000f, 0.000000f, 0.000000f, 0.000114f, 0.000248f, 0.000359f, 0.000386f, 0.000342f, + 0.000465f, 0.000461f, 0.000490f, 0.000609f, 0.000638f, 0.000694f, 0.000807f, 0.000923f, + 0.000961f, 0.001074f, 0.001123f, 0.001268f, 0.001311f, 0.001494f, 0.001537f, 0.001754f, + 0.001899f, 0.001917f, 0.002199f, 0.002241f, 0.002583f, 0.002769f, 0.003101f, 0.003441f, + 0.003775f, 0.004200f, 0.004787f, 0.005272f, 0.006062f, 0.006702f, 0.007732f, 0.009102f, + 0.010582f, 0.012466f, 0.014984f, 0.017990f, 0.021957f, 0.027222f, 0.034332f, 0.044128f, + 0.057434f, 0.076538f, 0.104126f, 0.143799f, 0.199829f, 0.275879f, 0.373047f, 0.482422f, + 0.594727f, 0.698730f, 0.910645f, 0.914551f, 0.916504f, 0.916016f, 0.916504f, 0.915527f, + 0.000000f, 0.000000f, 0.000000f, 0.000121f, 0.000221f, 0.000222f, 0.000392f, 0.000402f, + 0.000396f, 0.000434f, 0.000476f, 0.000548f, 0.000536f, 0.000644f, 0.000642f, 0.000793f, + 0.000795f, 0.000912f, 0.000953f, 0.000989f, 0.001164f, 0.001197f, 0.001285f, 0.001480f, + 0.001511f, 0.001674f, 0.001703f, 0.001901f, 0.002075f, 0.002340f, 0.002499f, 0.002800f, + 0.003019f, 0.003296f, 0.003695f, 0.004093f, 0.004780f, 0.005260f, 0.006207f, 0.006939f, + 0.008034f, 0.009598f, 0.011353f, 0.013702f, 0.016678f, 0.020874f, 0.026062f, 0.033539f, + 0.044006f, 0.058746f, 0.080139f, 0.111877f, 0.158447f, 0.226318f, 0.317627f, 0.428711f, + 0.548828f, 0.665039f, 0.901367f, 0.907227f, 0.907715f, 0.908203f, 0.908203f, 0.907227f, + 0.000000f, 0.000000f, 0.000122f, 0.000173f, 0.000191f, 0.000215f, 0.000224f, 0.000261f, + 0.000340f, 0.000374f, 0.000380f, 0.000496f, 0.000416f, 0.000535f, 0.000592f, 0.000622f, + 0.000701f, 0.000772f, 0.000742f, 0.000774f, 0.000990f, 0.000945f, 0.001088f, 0.001105f, + 0.001348f, 0.001231f, 0.001460f, 0.001620f, 0.001758f, 0.001941f, 0.002008f, 0.002092f, + 0.002430f, 0.002615f, 0.002886f, 0.003208f, 0.003519f, 0.004112f, 0.004704f, 0.005371f, + 0.006149f, 0.007351f, 0.008659f, 0.010201f, 0.012550f, 0.015549f, 0.019577f, 0.025436f, + 0.032928f, 0.044220f, 0.060608f, 0.084961f, 0.123474f, 0.180664f, 0.263184f, 0.372314f, + 0.498291f, 0.626465f, 0.892578f, 0.895996f, 0.896973f, 0.896973f, 0.897949f, 0.897949f, + 0.000000f, 0.000000f, 0.000121f, 0.000121f, 0.000120f, 0.000192f, 0.000201f, 0.000222f, + 0.000222f, 0.000276f, 0.000295f, 0.000344f, 0.000433f, 0.000470f, 0.000485f, 0.000549f, + 0.000555f, 0.000558f, 0.000566f, 0.000639f, 0.000678f, 0.000757f, 0.000840f, 0.000905f, + 0.000999f, 0.000946f, 0.001018f, 0.001309f, 0.001402f, 0.001417f, 0.001624f, 0.001692f, + 0.001869f, 0.002003f, 0.002184f, 0.002602f, 0.002851f, 0.003157f, 0.003595f, 0.004063f, + 0.004734f, 0.005398f, 0.006275f, 0.007542f, 0.009148f, 0.011383f, 0.014275f, 0.018250f, + 0.024063f, 0.032135f, 0.044922f, 0.063721f, 0.093811f, 0.139648f, 0.211914f, 0.314697f, + 0.444092f, 0.584961f, 0.879883f, 0.884766f, 0.885254f, 0.885742f, 0.886230f, 0.885742f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000120f, 0.000154f, 0.000150f, 0.000160f, + 0.000202f, 0.000217f, 0.000308f, 0.000319f, 0.000278f, 0.000392f, 0.000362f, 0.000432f, + 0.000416f, 0.000448f, 0.000495f, 0.000526f, 0.000710f, 0.000754f, 0.000657f, 0.000755f, + 0.000806f, 0.000919f, 0.000815f, 0.001080f, 0.001152f, 0.001207f, 0.001218f, 0.001373f, + 0.001320f, 0.001685f, 0.001764f, 0.001819f, 0.002068f, 0.002380f, 0.002668f, 0.003033f, + 0.003584f, 0.003979f, 0.004829f, 0.005402f, 0.006630f, 0.008080f, 0.010254f, 0.013069f, + 0.017044f, 0.023422f, 0.031647f, 0.046417f, 0.068604f, 0.104919f, 0.165161f, 0.258789f, + 0.387207f, 0.537598f, 0.867188f, 0.871582f, 0.872559f, 0.872559f, 0.872559f, 0.873047f, + 0.000000f, 0.000121f, 0.000120f, 0.000120f, 0.000119f, 0.000118f, 0.000122f, 0.000108f, + 0.000143f, 0.000149f, 0.000184f, 0.000194f, 0.000189f, 0.000210f, 0.000321f, 0.000282f, + 0.000376f, 0.000420f, 0.000533f, 0.000437f, 0.000467f, 0.000477f, 0.000587f, 0.000519f, + 0.000673f, 0.000662f, 0.000679f, 0.000845f, 0.000881f, 0.000863f, 0.001016f, 0.001093f, + 0.001176f, 0.001191f, 0.001336f, 0.001561f, 0.001573f, 0.001754f, 0.001919f, 0.002264f, + 0.002596f, 0.002911f, 0.003372f, 0.003870f, 0.004723f, 0.005733f, 0.007092f, 0.008965f, + 0.011650f, 0.015701f, 0.022339f, 0.032043f, 0.048370f, 0.076050f, 0.124084f, 0.204834f, + 0.328369f, 0.485596f, 0.852539f, 0.856934f, 0.858887f, 0.858887f, 0.858887f, 0.858398f, + 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, + 0.000105f, 0.000110f, 0.000165f, 0.000133f, 0.000157f, 0.000240f, 0.000256f, 0.000257f, + 0.000249f, 0.000303f, 0.000342f, 0.000346f, 0.000485f, 0.000510f, 0.000398f, 0.000493f, + 0.000492f, 0.000524f, 0.000590f, 0.000585f, 0.000601f, 0.000740f, 0.000647f, 0.000871f, + 0.000834f, 0.000969f, 0.001020f, 0.001190f, 0.001244f, 0.001432f, 0.001393f, 0.001702f, + 0.001912f, 0.002171f, 0.002445f, 0.002958f, 0.003330f, 0.004025f, 0.004860f, 0.006161f, + 0.007896f, 0.010742f, 0.014671f, 0.021378f, 0.032928f, 0.052612f, 0.089050f, 0.155884f, + 0.268555f, 0.430664f, 0.836426f, 0.841309f, 0.841309f, 0.842285f, 0.842773f, 0.842285f, + 0.000000f, 0.000000f, 0.000119f, 0.000117f, 0.000116f, 0.000115f, 0.000114f, 0.000114f, + 0.000111f, 0.000103f, 0.000097f, 0.000118f, 0.000115f, 0.000130f, 0.000176f, 0.000130f, + 0.000223f, 0.000235f, 0.000244f, 0.000252f, 0.000274f, 0.000389f, 0.000309f, 0.000430f, + 0.000340f, 0.000399f, 0.000408f, 0.000459f, 0.000514f, 0.000501f, 0.000519f, 0.000657f, + 0.000588f, 0.000775f, 0.000813f, 0.000789f, 0.000904f, 0.001076f, 0.001027f, 0.001170f, + 0.001342f, 0.001425f, 0.001662f, 0.002005f, 0.002298f, 0.002699f, 0.003227f, 0.003990f, + 0.005062f, 0.006855f, 0.009415f, 0.013504f, 0.020905f, 0.034424f, 0.060333f, 0.112000f, + 0.210693f, 0.371094f, 0.816406f, 0.822754f, 0.822754f, 0.823242f, 0.823242f, 0.823730f, + 0.000000f, 0.000119f, 0.000117f, 0.000116f, 0.000114f, 0.000113f, 0.000112f, 0.000111f, + 0.000110f, 0.000109f, 0.000102f, 0.000095f, 0.000090f, 0.000084f, 0.000093f, 0.000103f, + 0.000118f, 0.000165f, 0.000162f, 0.000190f, 0.000204f, 0.000218f, 0.000223f, 0.000237f, + 0.000256f, 0.000272f, 0.000344f, 0.000365f, 0.000365f, 0.000396f, 0.000386f, 0.000412f, + 0.000530f, 0.000466f, 0.000492f, 0.000615f, 0.000611f, 0.000748f, 0.000712f, 0.000795f, + 0.000908f, 0.000971f, 0.001106f, 0.001353f, 0.001572f, 0.001822f, 0.002251f, 0.002676f, + 0.003290f, 0.004349f, 0.005951f, 0.008316f, 0.012543f, 0.021149f, 0.038025f, 0.075500f, + 0.156006f, 0.308838f, 0.794922f, 0.800293f, 0.800781f, 0.801270f, 0.801758f, 0.802246f, + 0.000121f, 0.000116f, 0.000114f, 0.000113f, 0.000111f, 0.000109f, 0.000108f, 0.000107f, + 0.000106f, 0.000104f, 0.000104f, 0.000100f, 0.000094f, 0.000088f, 0.000083f, 0.000078f, + 0.000074f, 0.000105f, 0.000078f, 0.000122f, 0.000113f, 0.000153f, 0.000174f, 0.000175f, + 0.000207f, 0.000216f, 0.000225f, 0.000215f, 0.000262f, 0.000308f, 0.000297f, 0.000287f, + 0.000307f, 0.000342f, 0.000363f, 0.000411f, 0.000401f, 0.000453f, 0.000522f, 0.000555f, + 0.000680f, 0.000701f, 0.000751f, 0.000873f, 0.000966f, 0.001181f, 0.001445f, 0.001666f, + 0.002077f, 0.002512f, 0.003359f, 0.004856f, 0.007347f, 0.012001f, 0.022049f, 0.046417f, + 0.107117f, 0.245361f, 0.770508f, 0.775879f, 0.776367f, 0.776855f, 0.777344f, 0.777832f, + 0.000000f, 0.000113f, 0.000108f, 0.000107f, 0.000104f, 0.000103f, 0.000101f, 0.000100f, + 0.000099f, 0.000098f, 0.000097f, 0.000096f, 0.000095f, 0.000091f, 0.000086f, 0.000081f, + 0.000077f, 0.000073f, 0.000069f, 0.000079f, 0.000084f, 0.000091f, 0.000074f, 0.000100f, + 0.000117f, 0.000140f, 0.000144f, 0.000166f, 0.000174f, 0.000178f, 0.000225f, 0.000197f, + 0.000234f, 0.000239f, 0.000273f, 0.000289f, 0.000283f, 0.000293f, 0.000338f, 0.000386f, + 0.000386f, 0.000432f, 0.000459f, 0.000525f, 0.000625f, 0.000691f, 0.000800f, 0.001004f, + 0.001227f, 0.001479f, 0.001984f, 0.002745f, 0.003983f, 0.006413f, 0.011642f, 0.025269f, + 0.066040f, 0.182495f, 0.743164f, 0.748535f, 0.749023f, 0.749512f, 0.750000f, 0.749512f, + 0.000000f, 0.000102f, 0.000101f, 0.000098f, 0.000094f, 0.000093f, 0.000092f, 0.000090f, + 0.000089f, 0.000088f, 0.000087f, 0.000086f, 0.000085f, 0.000084f, 0.000085f, 0.000082f, + 0.000078f, 0.000074f, 0.000070f, 0.000066f, 0.000063f, 0.000060f, 0.000057f, 0.000056f, + 0.000061f, 0.000060f, 0.000073f, 0.000087f, 0.000100f, 0.000105f, 0.000124f, 0.000136f, + 0.000140f, 0.000140f, 0.000159f, 0.000179f, 0.000186f, 0.000205f, 0.000214f, 0.000229f, + 0.000248f, 0.000267f, 0.000299f, 0.000344f, 0.000367f, 0.000422f, 0.000496f, 0.000557f, + 0.000639f, 0.000837f, 0.001037f, 0.001419f, 0.002081f, 0.003202f, 0.005730f, 0.012199f, + 0.034943f, 0.122925f, 0.711426f, 0.716797f, 0.718750f, 0.718262f, 0.718262f, 0.718750f, + 0.000094f, 0.000079f, 0.000078f, 0.000074f, 0.000074f, 0.000075f, 0.000074f, 0.000073f, + 0.000071f, 0.000072f, 0.000070f, 0.000071f, 0.000071f, 0.000070f, 0.000070f, 0.000069f, + 0.000070f, 0.000069f, 0.000068f, 0.000065f, 0.000062f, 0.000059f, 0.000056f, 0.000053f, + 0.000050f, 0.000048f, 0.000045f, 0.000044f, 0.000041f, 0.000050f, 0.000050f, 0.000061f, + 0.000068f, 0.000085f, 0.000091f, 0.000101f, 0.000102f, 0.000107f, 0.000119f, 0.000129f, + 0.000144f, 0.000151f, 0.000160f, 0.000184f, 0.000212f, 0.000213f, 0.000235f, 0.000294f, + 0.000315f, 0.000392f, 0.000505f, 0.000637f, 0.000880f, 0.001400f, 0.002462f, 0.005333f, + 0.015160f, 0.070312f, 0.678223f, 0.683105f, 0.684082f, 0.684570f, 0.684570f, 0.684570f, + 0.000000f, 0.000000f, 0.000023f, 0.000034f, 0.000032f, 0.000038f, 0.000037f, 0.000044f, + 0.000043f, 0.000047f, 0.000045f, 0.000047f, 0.000049f, 0.000049f, 0.000049f, 0.000048f, + 0.000051f, 0.000050f, 0.000051f, 0.000051f, 0.000052f, 0.000052f, 0.000052f, 0.000049f, + 0.000047f, 0.000045f, 0.000042f, 0.000040f, 0.000038f, 0.000036f, 0.000035f, 0.000033f, + 0.000031f, 0.000029f, 0.000038f, 0.000037f, 0.000042f, 0.000051f, 0.000055f, 0.000067f, + 0.000074f, 0.000073f, 0.000083f, 0.000093f, 0.000088f, 0.000102f, 0.000122f, 0.000122f, + 0.000142f, 0.000169f, 0.000206f, 0.000265f, 0.000355f, 0.000531f, 0.000897f, 0.001822f, + 0.005493f, 0.030579f, 0.640137f, 0.644531f, 0.647461f, 0.647949f, 0.647461f, 0.648438f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000001f, 0.000000f, 0.000008f, 0.000012f, 0.000014f, 0.000014f, 0.000019f, 0.000021f, + 0.000022f, 0.000024f, 0.000026f, 0.000027f, 0.000027f, 0.000028f, 0.000029f, 0.000031f, + 0.000031f, 0.000032f, 0.000032f, 0.000033f, 0.000033f, 0.000032f, 0.000030f, 0.000029f, + 0.000027f, 0.000026f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000019f, 0.000018f, + 0.000021f, 0.000024f, 0.000028f, 0.000033f, 0.000043f, 0.000041f, 0.000046f, 0.000053f, + 0.000050f, 0.000059f, 0.000068f, 0.000094f, 0.000096f, 0.000140f, 0.000239f, 0.000447f, + 0.001340f, 0.009087f, 0.600098f, 0.605957f, 0.606934f, 0.606934f, 0.607422f, 0.606934f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000002f, 0.000004f, 0.000006f, 0.000006f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, + 0.000013f, 0.000014f, 0.000015f, 0.000016f, 0.000017f, 0.000016f, 0.000015f, 0.000014f, + 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000010f, 0.000009f, 0.000008f, 0.000012f, + 0.000014f, 0.000018f, 0.000017f, 0.000022f, 0.000022f, 0.000026f, 0.000040f, 0.000060f, + 0.000157f, 0.001244f, 0.557129f, 0.563477f, 0.563477f, 0.564941f, 0.564941f, 0.564941f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000003f, + 0.000003f, 0.000004f, 0.000003f, 0.000003f, 0.000003f, 0.000002f, 0.000003f, 0.000003f, + 0.000003f, 0.000012f, 0.513672f, 0.520020f, 0.520020f, 0.520508f, 0.521484f, 0.521484f, + }, + { + 0.103943f, 0.284912f, 0.422119f, 0.523438f, 0.600586f, 0.659668f, 0.705078f, 0.741699f, + 0.771484f, 0.795898f, 0.816895f, 0.834961f, 0.850586f, 0.862793f, 0.874512f, 0.884277f, + 0.894043f, 0.901855f, 0.909180f, 0.915039f, 0.921387f, 0.926270f, 0.932129f, 0.936035f, + 0.940430f, 0.944336f, 0.948242f, 0.951660f, 0.954590f, 0.957520f, 0.959961f, 0.962891f, + 0.965332f, 0.967285f, 0.969727f, 0.971680f, 0.973145f, 0.975586f, 0.977051f, 0.979004f, + 0.979980f, 0.981934f, 0.983887f, 0.984375f, 0.985840f, 0.986816f, 0.988770f, 0.989258f, + 0.990723f, 0.992188f, 0.992676f, 0.993652f, 0.994629f, 0.995605f, 0.996582f, 0.997559f, + 0.998535f, 0.999023f, 0.999512f, 0.999023f, 0.998535f, 0.998047f, 0.997559f, 0.997070f, + 0.046997f, 0.153564f, 0.264160f, 0.369385f, 0.460205f, 0.538574f, 0.602051f, 0.654785f, + 0.697754f, 0.733398f, 0.762695f, 0.787598f, 0.809082f, 0.827637f, 0.843262f, 0.856934f, + 0.868652f, 0.880859f, 0.889648f, 0.898438f, 0.906738f, 0.912598f, 0.918945f, 0.924805f, + 0.929688f, 0.935059f, 0.938965f, 0.943359f, 0.947266f, 0.951172f, 0.954102f, 0.956543f, + 0.959961f, 0.961914f, 0.964844f, 0.966797f, 0.969727f, 0.971191f, 0.974121f, 0.975098f, + 0.977051f, 0.979492f, 0.980469f, 0.981934f, 0.983887f, 0.985352f, 0.985840f, 0.987305f, + 0.989258f, 0.990234f, 0.991211f, 0.992188f, 0.993164f, 0.994141f, 0.995117f, 0.996094f, + 0.996582f, 0.997559f, 0.999023f, 0.998535f, 0.998047f, 0.997559f, 0.997070f, 0.997070f, + 0.025940f, 0.088501f, 0.162964f, 0.246094f, 0.331055f, 0.411865f, 0.486328f, 0.550293f, + 0.606934f, 0.655762f, 0.695312f, 0.729980f, 0.758301f, 0.783691f, 0.804199f, 0.823730f, + 0.838867f, 0.853027f, 0.865723f, 0.877441f, 0.887207f, 0.895996f, 0.904785f, 0.911133f, + 0.916992f, 0.923828f, 0.928223f, 0.933594f, 0.937988f, 0.942871f, 0.946777f, 0.950195f, + 0.953613f, 0.956543f, 0.959473f, 0.962402f, 0.964844f, 0.967285f, 0.970215f, 0.971680f, + 0.973633f, 0.976074f, 0.977539f, 0.979492f, 0.980469f, 0.982422f, 0.984863f, 0.985352f, + 0.986816f, 0.987793f, 0.989258f, 0.990234f, 0.991699f, 0.992676f, 0.994141f, 0.995117f, + 0.995605f, 0.996582f, 0.998535f, 0.998047f, 0.998047f, 0.997559f, 0.997070f, 0.996582f, + 0.016159f, 0.055176f, 0.104126f, 0.162720f, 0.229126f, 0.300781f, 0.372803f, 0.442871f, + 0.506836f, 0.563477f, 0.613281f, 0.657715f, 0.696289f, 0.729004f, 0.757324f, 0.782227f, + 0.802734f, 0.821289f, 0.837402f, 0.852539f, 0.865234f, 0.875977f, 0.885742f, 0.895508f, + 0.903320f, 0.910156f, 0.917480f, 0.922852f, 0.928711f, 0.934082f, 0.937988f, 0.942871f, + 0.947266f, 0.950195f, 0.954102f, 0.957031f, 0.959473f, 0.962402f, 0.964844f, 0.968262f, + 0.969727f, 0.972168f, 0.974121f, 0.976562f, 0.978516f, 0.979980f, 0.981934f, 0.982910f, + 0.983887f, 0.985840f, 0.986816f, 0.988770f, 0.989746f, 0.991211f, 0.992188f, 0.993652f, + 0.994141f, 0.995117f, 0.998047f, 0.997559f, 0.997559f, 0.997070f, 0.996582f, 0.996582f, + 0.010841f, 0.036865f, 0.070007f, 0.110962f, 0.159546f, 0.214355f, 0.276367f, 0.340576f, + 0.405029f, 0.465820f, 0.523926f, 0.576172f, 0.623535f, 0.664062f, 0.699707f, 0.731445f, + 0.758301f, 0.782227f, 0.803223f, 0.821289f, 0.837891f, 0.852051f, 0.864258f, 0.875488f, + 0.884766f, 0.894531f, 0.903320f, 0.910156f, 0.916992f, 0.923828f, 0.928223f, 0.933594f, + 0.938477f, 0.943359f, 0.947266f, 0.950684f, 0.954102f, 0.957520f, 0.960449f, 0.962891f, + 0.965820f, 0.968750f, 0.971191f, 0.973145f, 0.975586f, 0.977539f, 0.978516f, 0.980957f, + 0.982422f, 0.984375f, 0.985352f, 0.987305f, 0.988281f, 0.989746f, 0.990723f, 0.992188f, + 0.993164f, 0.994141f, 0.997559f, 0.997559f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, + 0.007637f, 0.026566f, 0.049896f, 0.078247f, 0.113403f, 0.154663f, 0.202637f, 0.255371f, + 0.313232f, 0.372314f, 0.431152f, 0.488037f, 0.540039f, 0.588867f, 0.633301f, 0.670898f, + 0.704102f, 0.734375f, 0.761230f, 0.785156f, 0.804688f, 0.822754f, 0.838867f, 0.852539f, + 0.864746f, 0.876953f, 0.886230f, 0.895996f, 0.903320f, 0.910645f, 0.917480f, 0.923828f, + 0.929199f, 0.935059f, 0.938965f, 0.943359f, 0.948730f, 0.952148f, 0.954590f, 0.958496f, + 0.961426f, 0.964355f, 0.966797f, 0.969238f, 0.971680f, 0.974121f, 0.976074f, 0.978027f, + 0.979980f, 0.981445f, 0.982910f, 0.984863f, 0.986816f, 0.987793f, 0.989258f, 0.990723f, + 0.991699f, 0.993164f, 0.996582f, 0.996582f, 0.996094f, 0.996094f, 0.996094f, 0.995605f, + 0.005714f, 0.019485f, 0.036194f, 0.056976f, 0.082336f, 0.113342f, 0.149048f, 0.191284f, + 0.238770f, 0.290039f, 0.344727f, 0.400391f, 0.454590f, 0.507324f, 0.557129f, 0.602539f, + 0.642578f, 0.679199f, 0.711426f, 0.740234f, 0.766602f, 0.788574f, 0.807617f, 0.825195f, + 0.841309f, 0.854980f, 0.867676f, 0.877930f, 0.888184f, 0.896484f, 0.904785f, 0.912109f, + 0.918945f, 0.925293f, 0.930176f, 0.935547f, 0.940918f, 0.944336f, 0.948730f, 0.952637f, + 0.956055f, 0.959473f, 0.962402f, 0.965332f, 0.967773f, 0.970703f, 0.972656f, 0.975098f, + 0.977051f, 0.979004f, 0.981445f, 0.982910f, 0.984375f, 0.985840f, 0.987793f, 0.989258f, + 0.990234f, 0.991211f, 0.996094f, 0.996094f, 0.996094f, 0.996094f, 0.995605f, 0.995117f, + 0.004505f, 0.014908f, 0.027634f, 0.043274f, 0.061707f, 0.084045f, 0.111694f, 0.143921f, + 0.180542f, 0.223877f, 0.270996f, 0.320557f, 0.373291f, 0.425781f, 0.478027f, 0.526855f, + 0.573242f, 0.615723f, 0.654785f, 0.688965f, 0.720215f, 0.747559f, 0.771973f, 0.793457f, + 0.812500f, 0.829102f, 0.844238f, 0.858398f, 0.870117f, 0.881348f, 0.890625f, 0.898926f, + 0.906738f, 0.914062f, 0.921387f, 0.926758f, 0.932617f, 0.937500f, 0.942383f, 0.945801f, + 0.950684f, 0.954102f, 0.958008f, 0.960938f, 0.964355f, 0.966797f, 0.969727f, 0.972656f, + 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.981934f, 0.984375f, 0.985840f, 0.987793f, + 0.988281f, 0.990234f, 0.995605f, 0.995605f, 0.995605f, 0.995605f, 0.995117f, 0.994629f, + 0.003691f, 0.011925f, 0.021622f, 0.033203f, 0.047241f, 0.065247f, 0.085266f, 0.109558f, + 0.138550f, 0.172363f, 0.210205f, 0.253418f, 0.299805f, 0.348877f, 0.400146f, 0.450195f, + 0.499512f, 0.546387f, 0.589844f, 0.629883f, 0.666016f, 0.700195f, 0.728516f, 0.755371f, + 0.778320f, 0.798828f, 0.817383f, 0.833984f, 0.848145f, 0.861816f, 0.874023f, 0.883789f, + 0.893555f, 0.902344f, 0.910645f, 0.916992f, 0.922852f, 0.929688f, 0.934570f, 0.938965f, + 0.944336f, 0.948730f, 0.951660f, 0.956543f, 0.959473f, 0.962891f, 0.965820f, 0.968262f, + 0.970703f, 0.974121f, 0.976074f, 0.978516f, 0.979980f, 0.981934f, 0.983887f, 0.985840f, + 0.987305f, 0.988281f, 0.994629f, 0.995117f, 0.995117f, 0.994629f, 0.994629f, 0.994141f, + 0.002726f, 0.009560f, 0.017136f, 0.026871f, 0.037415f, 0.050079f, 0.066406f, 0.084717f, + 0.107849f, 0.133423f, 0.164062f, 0.198853f, 0.238281f, 0.281250f, 0.327148f, 0.375977f, + 0.424805f, 0.473877f, 0.521973f, 0.564941f, 0.606934f, 0.644531f, 0.679199f, 0.710449f, + 0.738770f, 0.764160f, 0.786133f, 0.805664f, 0.824219f, 0.838867f, 0.853516f, 0.866211f, + 0.876953f, 0.887695f, 0.896484f, 0.905762f, 0.912598f, 0.919922f, 0.925781f, 0.932129f, + 0.937500f, 0.942383f, 0.946777f, 0.951660f, 0.955078f, 0.958984f, 0.961426f, 0.965332f, + 0.967773f, 0.970703f, 0.972656f, 0.975586f, 0.978027f, 0.979492f, 0.981934f, 0.983887f, + 0.984863f, 0.986816f, 0.994629f, 0.994629f, 0.994629f, 0.994141f, 0.994141f, 0.993652f, + 0.002487f, 0.007553f, 0.013863f, 0.021439f, 0.029755f, 0.040771f, 0.052643f, 0.067444f, + 0.084473f, 0.104980f, 0.128784f, 0.157227f, 0.189087f, 0.224609f, 0.265381f, 0.308838f, + 0.354004f, 0.401611f, 0.450439f, 0.496582f, 0.541992f, 0.583984f, 0.623047f, 0.660645f, + 0.693359f, 0.722168f, 0.749512f, 0.772949f, 0.793457f, 0.812988f, 0.830078f, 0.845215f, + 0.859375f, 0.871094f, 0.882812f, 0.892090f, 0.900879f, 0.908691f, 0.916504f, 0.922852f, + 0.930176f, 0.935547f, 0.940430f, 0.944824f, 0.949219f, 0.952637f, 0.956543f, 0.960449f, + 0.963867f, 0.967285f, 0.970215f, 0.972656f, 0.974609f, 0.977539f, 0.979492f, 0.981934f, + 0.983887f, 0.985352f, 0.993652f, 0.994141f, 0.994141f, 0.993652f, 0.993652f, 0.993164f, + 0.001893f, 0.006641f, 0.011551f, 0.017319f, 0.024612f, 0.032959f, 0.042023f, 0.053772f, + 0.067444f, 0.083435f, 0.102356f, 0.123840f, 0.150024f, 0.179688f, 0.213501f, 0.250488f, + 0.291992f, 0.335938f, 0.381592f, 0.427246f, 0.473877f, 0.518555f, 0.563477f, 0.603027f, + 0.640625f, 0.676270f, 0.707031f, 0.735352f, 0.760254f, 0.782715f, 0.802734f, 0.821777f, + 0.838379f, 0.851562f, 0.865234f, 0.876953f, 0.886719f, 0.896484f, 0.905273f, 0.913086f, + 0.921387f, 0.927734f, 0.933105f, 0.938477f, 0.942871f, 0.948242f, 0.951660f, 0.955566f, + 0.959961f, 0.963867f, 0.966309f, 0.969238f, 0.972168f, 0.975098f, 0.977539f, 0.979492f, + 0.981934f, 0.983887f, 0.993164f, 0.993652f, 0.993164f, 0.993164f, 0.993164f, 0.992676f, + 0.001740f, 0.005634f, 0.009407f, 0.014992f, 0.020157f, 0.026840f, 0.035156f, 0.043793f, + 0.054718f, 0.067505f, 0.082092f, 0.099731f, 0.120239f, 0.143921f, 0.171265f, 0.202393f, + 0.237915f, 0.276367f, 0.318848f, 0.362793f, 0.407959f, 0.454346f, 0.499023f, 0.542480f, + 0.583984f, 0.623535f, 0.659180f, 0.691895f, 0.721680f, 0.748047f, 0.772461f, 0.793457f, + 0.812988f, 0.829102f, 0.845215f, 0.859863f, 0.872559f, 0.883789f, 0.893555f, 0.902344f, + 0.911133f, 0.918457f, 0.924805f, 0.930664f, 0.937012f, 0.941895f, 0.947266f, 0.951172f, + 0.956055f, 0.959473f, 0.962402f, 0.966309f, 0.968750f, 0.972168f, 0.974609f, 0.977051f, + 0.979492f, 0.981934f, 0.992188f, 0.992676f, 0.992676f, 0.992676f, 0.992188f, 0.992676f, + 0.001502f, 0.004482f, 0.008278f, 0.012276f, 0.016800f, 0.022644f, 0.029129f, 0.036194f, + 0.045197f, 0.055298f, 0.067017f, 0.080750f, 0.096863f, 0.115906f, 0.138184f, 0.163940f, + 0.192993f, 0.225952f, 0.262695f, 0.302490f, 0.344971f, 0.389648f, 0.434814f, 0.480469f, + 0.523926f, 0.566406f, 0.605957f, 0.643066f, 0.677246f, 0.708496f, 0.736816f, 0.761719f, + 0.784668f, 0.804688f, 0.823242f, 0.840332f, 0.854004f, 0.867188f, 0.878906f, 0.890137f, + 0.898438f, 0.907715f, 0.916016f, 0.922852f, 0.930176f, 0.935547f, 0.940918f, 0.946289f, + 0.950684f, 0.955078f, 0.959473f, 0.961914f, 0.966309f, 0.969238f, 0.972168f, 0.974609f, + 0.977539f, 0.979492f, 0.991211f, 0.992188f, 0.991699f, 0.992188f, 0.991699f, 0.991211f, + 0.001411f, 0.003645f, 0.007160f, 0.010414f, 0.014397f, 0.018677f, 0.024338f, 0.030426f, + 0.037384f, 0.045654f, 0.055054f, 0.066101f, 0.079529f, 0.094543f, 0.112793f, 0.133057f, + 0.157227f, 0.183960f, 0.215210f, 0.250488f, 0.288086f, 0.329102f, 0.372314f, 0.416992f, + 0.461914f, 0.505859f, 0.549316f, 0.589355f, 0.627930f, 0.664062f, 0.695801f, 0.725098f, + 0.752441f, 0.775879f, 0.797363f, 0.815918f, 0.833984f, 0.849121f, 0.863281f, 0.875488f, + 0.886230f, 0.895996f, 0.904785f, 0.914062f, 0.920898f, 0.928223f, 0.935059f, 0.940918f, + 0.945312f, 0.950195f, 0.954102f, 0.958984f, 0.962402f, 0.966309f, 0.969238f, 0.972656f, + 0.974609f, 0.977539f, 0.990234f, 0.992188f, 0.991211f, 0.991211f, 0.990723f, 0.991211f, + 0.000926f, 0.003523f, 0.006207f, 0.008949f, 0.012718f, 0.016312f, 0.020447f, 0.025467f, + 0.031128f, 0.037994f, 0.045532f, 0.054901f, 0.065430f, 0.077576f, 0.091797f, 0.109131f, + 0.128418f, 0.151245f, 0.176636f, 0.206055f, 0.238525f, 0.275146f, 0.314697f, 0.357178f, + 0.400391f, 0.445312f, 0.489746f, 0.531738f, 0.574219f, 0.613281f, 0.650391f, 0.683594f, + 0.714355f, 0.742188f, 0.768066f, 0.790039f, 0.810059f, 0.828125f, 0.843262f, 0.858398f, + 0.871582f, 0.883789f, 0.893555f, 0.903809f, 0.912598f, 0.919434f, 0.926758f, 0.933594f, + 0.939453f, 0.944336f, 0.950195f, 0.954590f, 0.958008f, 0.962402f, 0.966309f, 0.969727f, + 0.972656f, 0.975586f, 0.989746f, 0.990723f, 0.990723f, 0.990234f, 0.990234f, 0.990234f, + 0.001140f, 0.003021f, 0.005527f, 0.008102f, 0.010445f, 0.013977f, 0.017349f, 0.021637f, + 0.026535f, 0.031677f, 0.038330f, 0.045776f, 0.054382f, 0.064392f, 0.076233f, 0.089844f, + 0.105713f, 0.123840f, 0.145020f, 0.169556f, 0.196899f, 0.229248f, 0.263672f, 0.302002f, + 0.342529f, 0.385986f, 0.429932f, 0.473877f, 0.517578f, 0.560547f, 0.600586f, 0.638184f, + 0.672852f, 0.704590f, 0.733398f, 0.759277f, 0.782715f, 0.803711f, 0.823242f, 0.840820f, + 0.854980f, 0.869141f, 0.881348f, 0.892090f, 0.902344f, 0.910645f, 0.919922f, 0.927246f, + 0.933105f, 0.938965f, 0.944824f, 0.949707f, 0.954102f, 0.959473f, 0.962891f, 0.966309f, + 0.969727f, 0.972168f, 0.988770f, 0.990234f, 0.989746f, 0.989746f, 0.989746f, 0.989258f, + 0.000870f, 0.002666f, 0.004578f, 0.006737f, 0.009430f, 0.012077f, 0.015381f, 0.018463f, + 0.022293f, 0.027313f, 0.032654f, 0.038727f, 0.045746f, 0.053619f, 0.063232f, 0.074524f, + 0.087219f, 0.102356f, 0.119324f, 0.139648f, 0.162842f, 0.189941f, 0.219482f, 0.253174f, + 0.289795f, 0.329346f, 0.372070f, 0.415039f, 0.459717f, 0.503418f, 0.546387f, 0.587402f, + 0.625977f, 0.661621f, 0.694336f, 0.725586f, 0.752441f, 0.776855f, 0.798828f, 0.818359f, + 0.837402f, 0.852539f, 0.866699f, 0.878906f, 0.891113f, 0.900879f, 0.910156f, 0.918457f, + 0.926270f, 0.932617f, 0.938965f, 0.944824f, 0.950195f, 0.955078f, 0.958984f, 0.962891f, + 0.966797f, 0.970703f, 0.987793f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.988770f, + 0.000835f, 0.002302f, 0.004078f, 0.005802f, 0.008026f, 0.010490f, 0.013153f, 0.016235f, + 0.019485f, 0.023636f, 0.027847f, 0.033081f, 0.038849f, 0.045441f, 0.053253f, 0.062500f, + 0.072571f, 0.085205f, 0.098999f, 0.115662f, 0.135254f, 0.156860f, 0.182373f, 0.211060f, + 0.243042f, 0.279053f, 0.318115f, 0.359619f, 0.402832f, 0.447021f, 0.490234f, 0.533691f, + 0.575195f, 0.615234f, 0.651855f, 0.686035f, 0.717285f, 0.746094f, 0.771484f, 0.793945f, + 0.813965f, 0.833496f, 0.848633f, 0.864258f, 0.877930f, 0.889648f, 0.900391f, 0.909180f, + 0.918945f, 0.926270f, 0.932129f, 0.939453f, 0.945312f, 0.950684f, 0.955566f, 0.959473f, + 0.963867f, 0.967773f, 0.987305f, 0.988281f, 0.988281f, 0.988281f, 0.988281f, 0.987793f, + 0.000815f, 0.001984f, 0.003475f, 0.005302f, 0.007103f, 0.009354f, 0.011528f, 0.013977f, + 0.017197f, 0.020111f, 0.023788f, 0.027771f, 0.033447f, 0.038452f, 0.045013f, 0.052704f, + 0.061066f, 0.071228f, 0.082886f, 0.096313f, 0.112488f, 0.130737f, 0.151245f, 0.175659f, + 0.203125f, 0.234619f, 0.269043f, 0.306885f, 0.347656f, 0.390381f, 0.434570f, 0.478760f, + 0.522461f, 0.564453f, 0.605957f, 0.644043f, 0.678223f, 0.710449f, 0.739746f, 0.766602f, + 0.791016f, 0.811035f, 0.831055f, 0.847168f, 0.862793f, 0.875977f, 0.888672f, 0.899414f, + 0.909180f, 0.917480f, 0.926270f, 0.933105f, 0.939941f, 0.945801f, 0.950684f, 0.955566f, + 0.960938f, 0.964844f, 0.985840f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, 0.987305f, + 0.000587f, 0.002005f, 0.003122f, 0.004707f, 0.006283f, 0.007778f, 0.009972f, 0.012581f, + 0.014435f, 0.017426f, 0.020691f, 0.024475f, 0.028519f, 0.033203f, 0.038513f, 0.044708f, + 0.051727f, 0.060028f, 0.069763f, 0.080627f, 0.093506f, 0.109009f, 0.125977f, 0.146362f, + 0.169678f, 0.196533f, 0.226685f, 0.259766f, 0.297119f, 0.337646f, 0.380127f, 0.424072f, + 0.468018f, 0.512207f, 0.555176f, 0.596680f, 0.635254f, 0.671387f, 0.704590f, 0.734863f, + 0.762207f, 0.787109f, 0.809082f, 0.828613f, 0.846191f, 0.860840f, 0.875977f, 0.888184f, + 0.899902f, 0.908691f, 0.918457f, 0.926270f, 0.934082f, 0.940430f, 0.947266f, 0.951660f, + 0.958008f, 0.961914f, 0.984863f, 0.986328f, 0.986816f, 0.986816f, 0.986328f, 0.986328f, + 0.000475f, 0.001671f, 0.003019f, 0.004379f, 0.005592f, 0.006882f, 0.008682f, 0.010757f, + 0.012856f, 0.015343f, 0.018112f, 0.021164f, 0.024353f, 0.028595f, 0.033020f, 0.038086f, + 0.044006f, 0.050812f, 0.058594f, 0.067993f, 0.078735f, 0.091248f, 0.105530f, 0.122009f, + 0.142212f, 0.164062f, 0.189697f, 0.219238f, 0.251953f, 0.288330f, 0.328125f, 0.369629f, + 0.413818f, 0.458008f, 0.503418f, 0.547363f, 0.588867f, 0.628418f, 0.665039f, 0.699707f, + 0.730469f, 0.758301f, 0.784668f, 0.807129f, 0.826660f, 0.844727f, 0.862305f, 0.875977f, + 0.888672f, 0.900879f, 0.910156f, 0.919434f, 0.927734f, 0.935059f, 0.941406f, 0.947754f, + 0.953125f, 0.958496f, 0.983887f, 0.985352f, 0.985352f, 0.985352f, 0.984863f, 0.985352f, + 0.000325f, 0.001517f, 0.002554f, 0.003811f, 0.004990f, 0.006638f, 0.007706f, 0.009399f, + 0.011177f, 0.013580f, 0.015671f, 0.018478f, 0.021393f, 0.024612f, 0.028442f, 0.032990f, + 0.037750f, 0.043427f, 0.050354f, 0.057861f, 0.066101f, 0.076294f, 0.088684f, 0.102417f, + 0.119080f, 0.137451f, 0.159058f, 0.183838f, 0.212524f, 0.244385f, 0.280273f, 0.319336f, + 0.361084f, 0.405029f, 0.449707f, 0.494873f, 0.539551f, 0.582031f, 0.622559f, 0.660156f, + 0.695801f, 0.727539f, 0.756348f, 0.782715f, 0.805664f, 0.826172f, 0.845215f, 0.861328f, + 0.875977f, 0.889648f, 0.901367f, 0.910645f, 0.920410f, 0.928711f, 0.937012f, 0.942871f, + 0.949219f, 0.955078f, 0.982422f, 0.983887f, 0.984375f, 0.984375f, 0.983887f, 0.983887f, + 0.000349f, 0.001533f, 0.002413f, 0.003326f, 0.004463f, 0.005524f, 0.006954f, 0.008202f, + 0.010025f, 0.011864f, 0.013924f, 0.015884f, 0.018478f, 0.021484f, 0.024658f, 0.028671f, + 0.032562f, 0.037170f, 0.042969f, 0.049194f, 0.056641f, 0.065063f, 0.074951f, 0.086182f, + 0.099731f, 0.115662f, 0.133789f, 0.154175f, 0.178589f, 0.206421f, 0.237671f, 0.272949f, + 0.312012f, 0.352783f, 0.396973f, 0.442627f, 0.487793f, 0.532227f, 0.576660f, 0.617188f, + 0.657227f, 0.692383f, 0.725586f, 0.754395f, 0.780762f, 0.805664f, 0.826172f, 0.845215f, + 0.861816f, 0.876465f, 0.890137f, 0.902344f, 0.912598f, 0.921875f, 0.930176f, 0.937988f, + 0.945312f, 0.952148f, 0.981445f, 0.982910f, 0.982910f, 0.983398f, 0.983398f, 0.983398f, + 0.000475f, 0.001141f, 0.002058f, 0.002846f, 0.004120f, 0.005013f, 0.006207f, 0.007664f, + 0.009193f, 0.010368f, 0.012222f, 0.014404f, 0.016403f, 0.018799f, 0.021439f, 0.024567f, + 0.028076f, 0.032379f, 0.036652f, 0.042145f, 0.048157f, 0.055389f, 0.063660f, 0.073059f, + 0.083740f, 0.097046f, 0.112366f, 0.129517f, 0.149780f, 0.173584f, 0.200684f, 0.231812f, + 0.266357f, 0.304688f, 0.346680f, 0.390137f, 0.435547f, 0.481445f, 0.526367f, 0.572266f, + 0.613770f, 0.653320f, 0.690430f, 0.723633f, 0.754395f, 0.781250f, 0.806152f, 0.826172f, + 0.847168f, 0.862793f, 0.878906f, 0.892090f, 0.904297f, 0.914551f, 0.924316f, 0.933105f, + 0.940430f, 0.947754f, 0.979492f, 0.981934f, 0.981934f, 0.981934f, 0.981445f, 0.981445f, + 0.000239f, 0.000882f, 0.001744f, 0.002878f, 0.003819f, 0.004532f, 0.005550f, 0.006653f, + 0.007942f, 0.009277f, 0.010628f, 0.012421f, 0.014397f, 0.016312f, 0.018845f, 0.021576f, + 0.024536f, 0.027817f, 0.031860f, 0.036346f, 0.041595f, 0.047333f, 0.054138f, 0.062317f, + 0.071350f, 0.081970f, 0.094299f, 0.109070f, 0.126221f, 0.146118f, 0.169067f, 0.195801f, + 0.226196f, 0.260742f, 0.298584f, 0.340088f, 0.384277f, 0.429688f, 0.476807f, 0.522461f, + 0.568359f, 0.611328f, 0.651855f, 0.689453f, 0.723633f, 0.754395f, 0.782715f, 0.807617f, + 0.829590f, 0.848145f, 0.865723f, 0.880859f, 0.894531f, 0.906738f, 0.917969f, 0.927246f, + 0.936035f, 0.943359f, 0.978027f, 0.979980f, 0.980469f, 0.980469f, 0.980469f, 0.980469f, + 0.000240f, 0.000948f, 0.001495f, 0.002592f, 0.003241f, 0.004055f, 0.004856f, 0.006111f, + 0.007133f, 0.008125f, 0.009445f, 0.011108f, 0.012474f, 0.014374f, 0.016586f, 0.018784f, + 0.021286f, 0.024475f, 0.027481f, 0.031403f, 0.035828f, 0.040710f, 0.046204f, 0.052704f, + 0.060577f, 0.069519f, 0.079651f, 0.092224f, 0.106506f, 0.122986f, 0.142456f, 0.165161f, + 0.191284f, 0.221924f, 0.255615f, 0.293457f, 0.335205f, 0.379395f, 0.425537f, 0.472900f, + 0.519531f, 0.566406f, 0.610840f, 0.652344f, 0.689941f, 0.724609f, 0.755371f, 0.784180f, + 0.808594f, 0.831055f, 0.851562f, 0.869141f, 0.884277f, 0.897461f, 0.909668f, 0.920410f, + 0.930176f, 0.937988f, 0.976562f, 0.979004f, 0.979492f, 0.979492f, 0.979492f, 0.979492f, + 0.000302f, 0.000863f, 0.001315f, 0.002195f, 0.002905f, 0.003592f, 0.004784f, 0.005478f, + 0.006199f, 0.007389f, 0.008545f, 0.009811f, 0.011185f, 0.012787f, 0.014603f, 0.016342f, + 0.018784f, 0.021347f, 0.024033f, 0.027496f, 0.031006f, 0.034790f, 0.039856f, 0.045288f, + 0.051636f, 0.059052f, 0.067566f, 0.078003f, 0.089905f, 0.103760f, 0.119934f, 0.139282f, + 0.161865f, 0.187622f, 0.217407f, 0.251221f, 0.288818f, 0.330811f, 0.375244f, 0.422607f, + 0.470703f, 0.518066f, 0.565430f, 0.609863f, 0.651855f, 0.691406f, 0.726562f, 0.758301f, + 0.787109f, 0.812500f, 0.835449f, 0.855957f, 0.872559f, 0.887695f, 0.901367f, 0.913574f, + 0.923828f, 0.933105f, 0.975098f, 0.977539f, 0.977539f, 0.977539f, 0.978027f, 0.977051f, + 0.000240f, 0.000808f, 0.001537f, 0.002106f, 0.002493f, 0.003729f, 0.004036f, 0.004982f, + 0.005539f, 0.006454f, 0.007526f, 0.008690f, 0.009987f, 0.011421f, 0.012894f, 0.014618f, + 0.016464f, 0.018539f, 0.021118f, 0.023865f, 0.026794f, 0.030487f, 0.034241f, 0.038879f, + 0.044067f, 0.050690f, 0.057678f, 0.066040f, 0.076111f, 0.087524f, 0.101379f, 0.117737f, + 0.136353f, 0.158325f, 0.183594f, 0.213501f, 0.247192f, 0.284912f, 0.327393f, 0.372803f, + 0.420410f, 0.468750f, 0.518066f, 0.565430f, 0.611328f, 0.654297f, 0.694336f, 0.729980f, + 0.762207f, 0.791504f, 0.817383f, 0.839844f, 0.859863f, 0.876953f, 0.891602f, 0.905762f, + 0.917480f, 0.928711f, 0.973633f, 0.975098f, 0.976562f, 0.975586f, 0.976562f, 0.976562f, + 0.000240f, 0.000587f, 0.001223f, 0.001691f, 0.002499f, 0.003008f, 0.003643f, 0.004295f, + 0.004795f, 0.005726f, 0.006649f, 0.007671f, 0.008766f, 0.010002f, 0.011307f, 0.012764f, + 0.014465f, 0.016388f, 0.018387f, 0.020599f, 0.023453f, 0.026291f, 0.029572f, 0.033417f, + 0.037964f, 0.043427f, 0.049316f, 0.056519f, 0.064819f, 0.074219f, 0.085693f, 0.099121f, + 0.115112f, 0.133301f, 0.155273f, 0.180420f, 0.210205f, 0.244751f, 0.282715f, 0.324951f, + 0.371338f, 0.419434f, 0.468994f, 0.518555f, 0.566895f, 0.613770f, 0.658203f, 0.698242f, + 0.735352f, 0.766602f, 0.796875f, 0.821289f, 0.844238f, 0.863770f, 0.881836f, 0.896973f, + 0.910156f, 0.922363f, 0.971191f, 0.974121f, 0.974609f, 0.974121f, 0.974609f, 0.974609f, + 0.000228f, 0.000671f, 0.001122f, 0.001607f, 0.002291f, 0.002836f, 0.003319f, 0.003817f, + 0.004509f, 0.005253f, 0.005894f, 0.006840f, 0.007820f, 0.008972f, 0.010086f, 0.011391f, + 0.012848f, 0.014328f, 0.016266f, 0.018158f, 0.020447f, 0.022720f, 0.026031f, 0.029053f, + 0.032593f, 0.037109f, 0.042236f, 0.048340f, 0.055115f, 0.063049f, 0.072632f, 0.083801f, + 0.097351f, 0.112488f, 0.130493f, 0.152222f, 0.178101f, 0.208008f, 0.241943f, 0.280762f, + 0.323730f, 0.370117f, 0.419434f, 0.470459f, 0.520996f, 0.570801f, 0.617676f, 0.663086f, + 0.704102f, 0.740234f, 0.773438f, 0.802246f, 0.829102f, 0.850098f, 0.870117f, 0.887695f, + 0.902832f, 0.916016f, 0.969238f, 0.972168f, 0.972168f, 0.972656f, 0.972656f, 0.972168f, + 0.000121f, 0.000526f, 0.001092f, 0.001670f, 0.001744f, 0.002420f, 0.002945f, 0.003237f, + 0.004013f, 0.004894f, 0.005421f, 0.005932f, 0.006996f, 0.007904f, 0.008873f, 0.009995f, + 0.011391f, 0.012756f, 0.014053f, 0.015884f, 0.017715f, 0.019775f, 0.022324f, 0.025406f, + 0.028290f, 0.032349f, 0.036560f, 0.041412f, 0.047058f, 0.053772f, 0.061493f, 0.070862f, + 0.081848f, 0.094666f, 0.110229f, 0.128662f, 0.150024f, 0.175903f, 0.205566f, 0.239990f, + 0.279785f, 0.323486f, 0.370850f, 0.421143f, 0.473633f, 0.524902f, 0.576172f, 0.625000f, + 0.668457f, 0.710938f, 0.748535f, 0.781250f, 0.810059f, 0.835449f, 0.857910f, 0.877441f, + 0.894531f, 0.908691f, 0.966797f, 0.970215f, 0.970703f, 0.970703f, 0.970703f, 0.970215f, + 0.000127f, 0.000521f, 0.001083f, 0.001460f, 0.001684f, 0.002111f, 0.002563f, 0.003048f, + 0.003618f, 0.004124f, 0.004936f, 0.005543f, 0.006340f, 0.007111f, 0.008049f, 0.008774f, + 0.009865f, 0.011162f, 0.012360f, 0.013840f, 0.015465f, 0.017181f, 0.019531f, 0.021973f, + 0.024582f, 0.027847f, 0.031342f, 0.035706f, 0.040100f, 0.045990f, 0.052521f, 0.060089f, + 0.069214f, 0.080017f, 0.093079f, 0.108521f, 0.126709f, 0.148071f, 0.174072f, 0.204224f, + 0.239502f, 0.279541f, 0.324219f, 0.373047f, 0.424805f, 0.477295f, 0.530762f, 0.583008f, + 0.632324f, 0.677246f, 0.719727f, 0.756348f, 0.789551f, 0.819336f, 0.842773f, 0.866211f, + 0.885742f, 0.901855f, 0.965332f, 0.967773f, 0.968262f, 0.967773f, 0.968750f, 0.968262f, + 0.000244f, 0.000397f, 0.001001f, 0.001181f, 0.001642f, 0.001872f, 0.002460f, 0.002712f, + 0.003061f, 0.003723f, 0.004520f, 0.005043f, 0.005547f, 0.006451f, 0.007057f, 0.007828f, + 0.008942f, 0.009872f, 0.010857f, 0.012131f, 0.013557f, 0.015198f, 0.017059f, 0.019241f, + 0.021454f, 0.024048f, 0.027069f, 0.030594f, 0.034332f, 0.039001f, 0.044952f, 0.050873f, + 0.058716f, 0.067505f, 0.078369f, 0.091309f, 0.106506f, 0.124695f, 0.146484f, 0.172852f, + 0.203369f, 0.239014f, 0.280273f, 0.326172f, 0.376465f, 0.429443f, 0.483643f, 0.538574f, + 0.591309f, 0.641602f, 0.687500f, 0.729492f, 0.766602f, 0.800293f, 0.828613f, 0.854004f, + 0.874512f, 0.893555f, 0.961914f, 0.965332f, 0.965820f, 0.966309f, 0.966309f, 0.965820f, + 0.000243f, 0.000453f, 0.000888f, 0.001245f, 0.001342f, 0.001847f, 0.002060f, 0.002541f, + 0.002991f, 0.003355f, 0.003679f, 0.004379f, 0.005177f, 0.005413f, 0.006283f, 0.007038f, + 0.007896f, 0.008507f, 0.009552f, 0.010628f, 0.011909f, 0.013306f, 0.015038f, 0.016388f, + 0.018433f, 0.020752f, 0.023254f, 0.026413f, 0.029617f, 0.033447f, 0.037842f, 0.043701f, + 0.049896f, 0.057190f, 0.066101f, 0.076660f, 0.089600f, 0.104553f, 0.123230f, 0.145386f, + 0.171387f, 0.202637f, 0.239624f, 0.281982f, 0.329346f, 0.380859f, 0.436035f, 0.491943f, + 0.547852f, 0.602539f, 0.653809f, 0.699707f, 0.741699f, 0.778320f, 0.811035f, 0.838867f, + 0.862793f, 0.884766f, 0.959961f, 0.963379f, 0.963379f, 0.963379f, 0.964355f, 0.963379f, + 0.000241f, 0.000452f, 0.000798f, 0.001119f, 0.001220f, 0.001430f, 0.001902f, 0.002277f, + 0.002737f, 0.002893f, 0.003624f, 0.003937f, 0.004436f, 0.005089f, 0.005669f, 0.006226f, + 0.006680f, 0.007519f, 0.008568f, 0.009384f, 0.010422f, 0.011795f, 0.012840f, 0.014526f, + 0.016235f, 0.017929f, 0.020218f, 0.022736f, 0.025146f, 0.028580f, 0.032684f, 0.036896f, + 0.042511f, 0.048431f, 0.055634f, 0.064453f, 0.075317f, 0.088196f, 0.103333f, 0.121948f, + 0.144287f, 0.171143f, 0.203491f, 0.241577f, 0.285156f, 0.334229f, 0.387939f, 0.444580f, + 0.501953f, 0.559570f, 0.614746f, 0.666504f, 0.712402f, 0.755371f, 0.791504f, 0.823242f, + 0.851074f, 0.875000f, 0.956543f, 0.959961f, 0.960938f, 0.960449f, 0.960449f, 0.960449f, + 0.000000f, 0.000263f, 0.000693f, 0.000873f, 0.001183f, 0.001447f, 0.001476f, 0.002068f, + 0.002171f, 0.002857f, 0.003164f, 0.003542f, 0.003778f, 0.004326f, 0.004906f, 0.005436f, + 0.006126f, 0.006687f, 0.007229f, 0.008377f, 0.009232f, 0.010223f, 0.011436f, 0.012527f, + 0.013832f, 0.015747f, 0.017365f, 0.019363f, 0.021667f, 0.024231f, 0.027695f, 0.031769f, + 0.035889f, 0.041016f, 0.047028f, 0.054504f, 0.063110f, 0.073975f, 0.086487f, 0.101807f, + 0.120972f, 0.143555f, 0.171753f, 0.204956f, 0.244263f, 0.289551f, 0.340576f, 0.396484f, + 0.455078f, 0.514648f, 0.573730f, 0.630371f, 0.681152f, 0.729004f, 0.770020f, 0.806641f, + 0.837402f, 0.863770f, 0.953613f, 0.956543f, 0.957520f, 0.957031f, 0.957031f, 0.958008f, + 0.000000f, 0.000356f, 0.000641f, 0.000870f, 0.000998f, 0.001134f, 0.001495f, 0.001724f, + 0.002436f, 0.002478f, 0.002775f, 0.003113f, 0.003435f, 0.003864f, 0.004314f, 0.004704f, + 0.005276f, 0.005886f, 0.006599f, 0.007309f, 0.008003f, 0.008987f, 0.009987f, 0.010941f, + 0.012192f, 0.013466f, 0.015030f, 0.016708f, 0.018906f, 0.021103f, 0.023788f, 0.026886f, + 0.030457f, 0.034943f, 0.040009f, 0.045959f, 0.053162f, 0.061920f, 0.072144f, 0.085205f, + 0.101257f, 0.120422f, 0.143555f, 0.172363f, 0.206909f, 0.248047f, 0.295410f, 0.349121f, + 0.407715f, 0.468750f, 0.530762f, 0.589844f, 0.647949f, 0.699707f, 0.746094f, 0.786621f, + 0.823242f, 0.852051f, 0.950195f, 0.953125f, 0.954102f, 0.954102f, 0.954102f, 0.954102f, + 0.000231f, 0.000449f, 0.000516f, 0.000760f, 0.000868f, 0.001152f, 0.001403f, 0.001773f, + 0.002165f, 0.002245f, 0.002550f, 0.002783f, 0.003277f, 0.003660f, 0.003782f, 0.004120f, + 0.004631f, 0.005268f, 0.005795f, 0.006344f, 0.007053f, 0.007835f, 0.008598f, 0.009460f, + 0.010689f, 0.011551f, 0.012726f, 0.014359f, 0.016052f, 0.017975f, 0.020218f, 0.022812f, + 0.025803f, 0.029251f, 0.033386f, 0.038574f, 0.044556f, 0.051941f, 0.060577f, 0.071045f, + 0.084106f, 0.100342f, 0.119751f, 0.144043f, 0.174194f, 0.209961f, 0.253418f, 0.303467f, + 0.359619f, 0.420898f, 0.483887f, 0.547852f, 0.609375f, 0.667480f, 0.719727f, 0.765625f, + 0.804688f, 0.839844f, 0.946289f, 0.949707f, 0.950195f, 0.950684f, 0.950684f, 0.950195f, + 0.000201f, 0.000336f, 0.000452f, 0.000627f, 0.000793f, 0.000966f, 0.001134f, 0.001578f, + 0.001790f, 0.001896f, 0.002254f, 0.002464f, 0.002825f, 0.003012f, 0.003414f, 0.003626f, + 0.004131f, 0.004608f, 0.005058f, 0.005642f, 0.006191f, 0.006771f, 0.007378f, 0.008057f, + 0.009132f, 0.009918f, 0.010826f, 0.012314f, 0.013794f, 0.015381f, 0.017197f, 0.019257f, + 0.021912f, 0.024841f, 0.028259f, 0.032318f, 0.037262f, 0.043427f, 0.050537f, 0.059021f, + 0.070007f, 0.083191f, 0.099609f, 0.120239f, 0.145508f, 0.176636f, 0.214600f, 0.260254f, + 0.313232f, 0.372803f, 0.437012f, 0.503418f, 0.568359f, 0.631836f, 0.688965f, 0.741211f, + 0.786621f, 0.825195f, 0.941406f, 0.946289f, 0.946289f, 0.946777f, 0.946289f, 0.947266f, + 0.000000f, 0.000317f, 0.000445f, 0.000453f, 0.000781f, 0.000794f, 0.001183f, 0.001289f, + 0.001479f, 0.001832f, 0.001874f, 0.002256f, 0.002270f, 0.002716f, 0.002960f, 0.003273f, + 0.003630f, 0.003948f, 0.004467f, 0.004833f, 0.005451f, 0.005962f, 0.006367f, 0.007088f, + 0.007717f, 0.008400f, 0.009506f, 0.010445f, 0.011658f, 0.012993f, 0.014618f, 0.016357f, + 0.018524f, 0.021210f, 0.023712f, 0.027252f, 0.031219f, 0.036041f, 0.041962f, 0.049194f, + 0.057892f, 0.068604f, 0.082642f, 0.099304f, 0.120728f, 0.147217f, 0.180054f, 0.221191f, + 0.269287f, 0.325928f, 0.388916f, 0.457275f, 0.525391f, 0.593262f, 0.657715f, 0.714355f, + 0.766113f, 0.809082f, 0.937500f, 0.940918f, 0.941895f, 0.941895f, 0.941895f, 0.942383f, + 0.000243f, 0.000238f, 0.000411f, 0.000532f, 0.000530f, 0.000764f, 0.000853f, 0.001171f, + 0.001417f, 0.001545f, 0.001799f, 0.001900f, 0.002094f, 0.002354f, 0.002577f, 0.002703f, + 0.003155f, 0.003428f, 0.003809f, 0.004227f, 0.004677f, 0.004997f, 0.005386f, 0.005913f, + 0.006741f, 0.007225f, 0.008057f, 0.008873f, 0.009819f, 0.011101f, 0.012253f, 0.013725f, + 0.015488f, 0.017410f, 0.019791f, 0.022598f, 0.025635f, 0.030014f, 0.034973f, 0.040527f, + 0.047729f, 0.056702f, 0.067505f, 0.081848f, 0.099609f, 0.121521f, 0.149902f, 0.185181f, + 0.228516f, 0.280762f, 0.341553f, 0.408936f, 0.480225f, 0.552246f, 0.622070f, 0.686035f, + 0.742188f, 0.792480f, 0.932129f, 0.935547f, 0.937012f, 0.937012f, 0.936523f, 0.937500f, + 0.000000f, 0.000232f, 0.000330f, 0.000512f, 0.000523f, 0.000907f, 0.000953f, 0.001018f, + 0.001234f, 0.001344f, 0.001610f, 0.001612f, 0.001845f, 0.002054f, 0.002218f, 0.002453f, + 0.002829f, 0.003105f, 0.003300f, 0.003712f, 0.003853f, 0.004280f, 0.004631f, 0.005112f, + 0.005665f, 0.006279f, 0.006779f, 0.007481f, 0.008362f, 0.009270f, 0.010338f, 0.011505f, + 0.012848f, 0.014549f, 0.016403f, 0.018936f, 0.021622f, 0.024750f, 0.028900f, 0.033447f, + 0.039185f, 0.046448f, 0.055603f, 0.067078f, 0.081238f, 0.100037f, 0.123230f, 0.153564f, + 0.191284f, 0.238525f, 0.295166f, 0.361084f, 0.432861f, 0.507812f, 0.582520f, 0.653320f, + 0.717285f, 0.772461f, 0.926270f, 0.931152f, 0.931152f, 0.932129f, 0.932129f, 0.932129f, + 0.000118f, 0.000219f, 0.000227f, 0.000405f, 0.000689f, 0.000726f, 0.000910f, 0.000847f, + 0.001072f, 0.001114f, 0.001388f, 0.001447f, 0.001656f, 0.001811f, 0.001897f, 0.002253f, + 0.002373f, 0.002617f, 0.002796f, 0.003054f, 0.003414f, 0.003681f, 0.003929f, 0.004353f, + 0.004902f, 0.005322f, 0.005863f, 0.006424f, 0.007000f, 0.007755f, 0.008675f, 0.009506f, + 0.010704f, 0.012215f, 0.013557f, 0.015686f, 0.017807f, 0.020630f, 0.023376f, 0.027328f, + 0.032013f, 0.038177f, 0.045288f, 0.054626f, 0.066284f, 0.081543f, 0.100891f, 0.125977f, + 0.158447f, 0.199951f, 0.251465f, 0.313965f, 0.384521f, 0.461670f, 0.540527f, 0.617188f, + 0.688965f, 0.750977f, 0.920410f, 0.924805f, 0.925781f, 0.926270f, 0.926758f, 0.925781f, + 0.000230f, 0.000198f, 0.000217f, 0.000338f, 0.000584f, 0.000786f, 0.000699f, 0.000893f, + 0.000954f, 0.000959f, 0.001153f, 0.001165f, 0.001375f, 0.001545f, 0.001752f, 0.001752f, + 0.002062f, 0.002235f, 0.002399f, 0.002699f, 0.002853f, 0.002995f, 0.003372f, 0.003603f, + 0.003944f, 0.004513f, 0.004704f, 0.005226f, 0.005878f, 0.006527f, 0.006992f, 0.007889f, + 0.008919f, 0.010002f, 0.011124f, 0.012604f, 0.014526f, 0.016510f, 0.019104f, 0.022308f, + 0.026077f, 0.030701f, 0.036774f, 0.044098f, 0.053558f, 0.065735f, 0.081299f, 0.101990f, + 0.129517f, 0.164917f, 0.210938f, 0.268066f, 0.336914f, 0.413818f, 0.496094f, 0.579102f, + 0.657227f, 0.727539f, 0.913574f, 0.917969f, 0.918945f, 0.919434f, 0.919922f, 0.919922f, + 0.000000f, 0.000101f, 0.000214f, 0.000208f, 0.000339f, 0.000461f, 0.000577f, 0.000780f, + 0.000777f, 0.000840f, 0.000853f, 0.001064f, 0.001198f, 0.001327f, 0.001489f, 0.001687f, + 0.001809f, 0.001884f, 0.002008f, 0.002129f, 0.002434f, 0.002514f, 0.002949f, 0.003000f, + 0.003351f, 0.003674f, 0.003918f, 0.004356f, 0.004875f, 0.005310f, 0.005768f, 0.006458f, + 0.007244f, 0.008255f, 0.008949f, 0.010361f, 0.011589f, 0.013290f, 0.015335f, 0.017776f, + 0.020828f, 0.024521f, 0.029236f, 0.035431f, 0.042694f, 0.052490f, 0.065369f, 0.082336f, + 0.104492f, 0.134277f, 0.173828f, 0.225464f, 0.290039f, 0.365234f, 0.449707f, 0.536133f, + 0.623047f, 0.702637f, 0.905273f, 0.911133f, 0.912598f, 0.913086f, 0.913086f, 0.913086f, + 0.000000f, 0.000167f, 0.000167f, 0.000316f, 0.000432f, 0.000444f, 0.000608f, 0.000611f, + 0.000678f, 0.000750f, 0.000899f, 0.000925f, 0.001043f, 0.001125f, 0.001222f, 0.001343f, + 0.001470f, 0.001608f, 0.001679f, 0.001804f, 0.001976f, 0.002234f, 0.002361f, 0.002710f, + 0.002748f, 0.003035f, 0.003290f, 0.003647f, 0.003990f, 0.004295f, 0.004745f, 0.005318f, + 0.005920f, 0.006618f, 0.007347f, 0.008270f, 0.009361f, 0.010719f, 0.012291f, 0.014221f, + 0.016693f, 0.019592f, 0.023239f, 0.027969f, 0.033752f, 0.041534f, 0.051666f, 0.065369f, + 0.083618f, 0.108276f, 0.141357f, 0.186035f, 0.244141f, 0.316650f, 0.400635f, 0.491699f, + 0.585938f, 0.672852f, 0.897461f, 0.903320f, 0.904297f, 0.903809f, 0.903809f, 0.904297f, + 0.000000f, 0.000098f, 0.000145f, 0.000289f, 0.000399f, 0.000424f, 0.000429f, 0.000382f, + 0.000529f, 0.000613f, 0.000660f, 0.000836f, 0.000907f, 0.000940f, 0.001005f, 0.001188f, + 0.001306f, 0.001451f, 0.001420f, 0.001554f, 0.001667f, 0.001783f, 0.001955f, 0.002125f, + 0.002357f, 0.002493f, 0.002760f, 0.002867f, 0.003298f, 0.003626f, 0.003878f, 0.004341f, + 0.004704f, 0.005356f, 0.005905f, 0.006512f, 0.007435f, 0.008377f, 0.009598f, 0.011055f, + 0.012978f, 0.015388f, 0.018036f, 0.021698f, 0.026337f, 0.032532f, 0.040192f, 0.050995f, + 0.065125f, 0.085510f, 0.113037f, 0.150513f, 0.201538f, 0.268799f, 0.351318f, 0.444824f, + 0.543457f, 0.641602f, 0.888672f, 0.894043f, 0.894531f, 0.895508f, 0.895020f, 0.895508f, + 0.000000f, 0.000000f, 0.000032f, 0.000169f, 0.000338f, 0.000372f, 0.000468f, 0.000471f, + 0.000460f, 0.000493f, 0.000588f, 0.000715f, 0.000762f, 0.000912f, 0.000831f, 0.001001f, + 0.001043f, 0.001133f, 0.001242f, 0.001312f, 0.001446f, 0.001529f, 0.001647f, 0.001829f, + 0.001982f, 0.002121f, 0.002165f, 0.002438f, 0.002628f, 0.002865f, 0.003113f, 0.003424f, + 0.003622f, 0.004131f, 0.004639f, 0.005222f, 0.005875f, 0.006622f, 0.007496f, 0.008575f, + 0.009987f, 0.011665f, 0.013985f, 0.016617f, 0.019913f, 0.024704f, 0.030960f, 0.039185f, + 0.050323f, 0.066284f, 0.088196f, 0.119568f, 0.163208f, 0.223511f, 0.302002f, 0.395752f, + 0.499756f, 0.605957f, 0.878418f, 0.883301f, 0.884766f, 0.884766f, 0.885254f, 0.885254f, + 0.000000f, 0.000000f, 0.000000f, 0.000216f, 0.000237f, 0.000338f, 0.000387f, 0.000341f, + 0.000435f, 0.000441f, 0.000461f, 0.000577f, 0.000544f, 0.000720f, 0.000813f, 0.000823f, + 0.000912f, 0.000936f, 0.000994f, 0.001026f, 0.001240f, 0.001268f, 0.001365f, 0.001415f, + 0.001590f, 0.001565f, 0.001870f, 0.001929f, 0.002123f, 0.002377f, 0.002430f, 0.002565f, + 0.002947f, 0.003384f, 0.003662f, 0.004105f, 0.004513f, 0.005047f, 0.005741f, 0.006550f, + 0.007549f, 0.008865f, 0.010612f, 0.012466f, 0.015350f, 0.018677f, 0.023270f, 0.029800f, + 0.038361f, 0.050323f, 0.067932f, 0.092590f, 0.129395f, 0.181274f, 0.253418f, 0.345459f, + 0.452637f, 0.567383f, 0.866699f, 0.872559f, 0.873047f, 0.873535f, 0.873047f, 0.873535f, + 0.000000f, 0.000000f, 0.000121f, 0.000182f, 0.000187f, 0.000237f, 0.000264f, 0.000360f, + 0.000360f, 0.000397f, 0.000398f, 0.000412f, 0.000432f, 0.000546f, 0.000575f, 0.000690f, + 0.000731f, 0.000727f, 0.000807f, 0.000843f, 0.000924f, 0.001034f, 0.001093f, 0.001111f, + 0.001251f, 0.001249f, 0.001334f, 0.001612f, 0.001717f, 0.001820f, 0.002090f, 0.002161f, + 0.002354f, 0.002600f, 0.002787f, 0.003119f, 0.003586f, 0.003878f, 0.004452f, 0.004913f, + 0.005772f, 0.006508f, 0.007679f, 0.009285f, 0.011086f, 0.013840f, 0.016968f, 0.021820f, + 0.028259f, 0.037628f, 0.050812f, 0.070129f, 0.099670f, 0.143433f, 0.207031f, 0.294922f, + 0.403076f, 0.525879f, 0.853516f, 0.859375f, 0.860840f, 0.860352f, 0.862305f, 0.861328f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000181f, 0.000198f, 0.000181f, 0.000240f, + 0.000275f, 0.000311f, 0.000427f, 0.000447f, 0.000395f, 0.000472f, 0.000456f, 0.000557f, + 0.000518f, 0.000562f, 0.000635f, 0.000664f, 0.000868f, 0.000887f, 0.000865f, 0.001025f, + 0.001014f, 0.001164f, 0.001096f, 0.001317f, 0.001382f, 0.001432f, 0.001445f, 0.001765f, + 0.001744f, 0.002100f, 0.002144f, 0.002350f, 0.002655f, 0.002947f, 0.003294f, 0.003780f, + 0.004265f, 0.004971f, 0.005699f, 0.006786f, 0.007957f, 0.009636f, 0.011932f, 0.015823f, + 0.020142f, 0.026749f, 0.036530f, 0.051392f, 0.073792f, 0.109375f, 0.164185f, 0.244629f, + 0.351562f, 0.479980f, 0.839355f, 0.844727f, 0.846680f, 0.847656f, 0.847168f, 0.846680f, + 0.000000f, 0.000121f, 0.000120f, 0.000119f, 0.000162f, 0.000133f, 0.000170f, 0.000201f, + 0.000204f, 0.000222f, 0.000258f, 0.000285f, 0.000324f, 0.000327f, 0.000422f, 0.000395f, + 0.000431f, 0.000517f, 0.000632f, 0.000529f, 0.000589f, 0.000592f, 0.000735f, 0.000714f, + 0.000795f, 0.000778f, 0.000823f, 0.001063f, 0.001080f, 0.001141f, 0.001154f, 0.001308f, + 0.001439f, 0.001546f, 0.001689f, 0.001886f, 0.001978f, 0.002174f, 0.002377f, 0.002798f, + 0.003277f, 0.003519f, 0.004181f, 0.004780f, 0.005768f, 0.006863f, 0.008644f, 0.010750f, + 0.014030f, 0.018448f, 0.025635f, 0.036194f, 0.053223f, 0.080811f, 0.125610f, 0.196533f, + 0.299316f, 0.430176f, 0.822754f, 0.830078f, 0.831055f, 0.831543f, 0.832031f, 0.831543f, + 0.000000f, 0.000121f, 0.000120f, 0.000118f, 0.000117f, 0.000120f, 0.000123f, 0.000151f, + 0.000154f, 0.000175f, 0.000254f, 0.000190f, 0.000211f, 0.000306f, 0.000335f, 0.000358f, + 0.000394f, 0.000417f, 0.000443f, 0.000410f, 0.000565f, 0.000565f, 0.000491f, 0.000623f, + 0.000616f, 0.000631f, 0.000738f, 0.000676f, 0.000759f, 0.000924f, 0.000895f, 0.001030f, + 0.001064f, 0.001176f, 0.001267f, 0.001438f, 0.001518f, 0.001704f, 0.001742f, 0.002028f, + 0.002384f, 0.002703f, 0.002972f, 0.003393f, 0.004051f, 0.004959f, 0.005993f, 0.007271f, + 0.009277f, 0.012390f, 0.016968f, 0.024368f, 0.036560f, 0.056610f, 0.091797f, 0.151245f, + 0.246460f, 0.379639f, 0.805664f, 0.812500f, 0.813477f, 0.813965f, 0.813965f, 0.813965f, + 0.000000f, 0.000000f, 0.000118f, 0.000117f, 0.000116f, 0.000114f, 0.000113f, 0.000108f, + 0.000127f, 0.000153f, 0.000133f, 0.000202f, 0.000217f, 0.000223f, 0.000242f, 0.000186f, + 0.000280f, 0.000304f, 0.000318f, 0.000342f, 0.000338f, 0.000473f, 0.000360f, 0.000484f, + 0.000422f, 0.000514f, 0.000527f, 0.000571f, 0.000633f, 0.000568f, 0.000639f, 0.000816f, + 0.000789f, 0.000889f, 0.000891f, 0.000966f, 0.001125f, 0.001276f, 0.001316f, 0.001496f, + 0.001658f, 0.001818f, 0.002047f, 0.002502f, 0.002781f, 0.003201f, 0.003914f, 0.004795f, + 0.006096f, 0.007996f, 0.010918f, 0.015617f, 0.023697f, 0.037567f, 0.063477f, 0.111084f, + 0.194824f, 0.324951f, 0.786133f, 0.792969f, 0.794434f, 0.793945f, 0.794922f, 0.794434f, + 0.000000f, 0.000119f, 0.000117f, 0.000115f, 0.000113f, 0.000112f, 0.000110f, 0.000109f, + 0.000104f, 0.000098f, 0.000099f, 0.000136f, 0.000112f, 0.000126f, 0.000175f, 0.000189f, + 0.000196f, 0.000220f, 0.000216f, 0.000247f, 0.000258f, 0.000274f, 0.000285f, 0.000309f, + 0.000308f, 0.000321f, 0.000381f, 0.000390f, 0.000475f, 0.000511f, 0.000485f, 0.000501f, + 0.000641f, 0.000588f, 0.000652f, 0.000764f, 0.000808f, 0.000952f, 0.000906f, 0.001037f, + 0.001110f, 0.001249f, 0.001411f, 0.001647f, 0.001894f, 0.002159f, 0.002687f, 0.003223f, + 0.004036f, 0.005150f, 0.006989f, 0.009644f, 0.014420f, 0.023361f, 0.040802f, 0.076050f, + 0.146362f, 0.269287f, 0.763184f, 0.770996f, 0.771973f, 0.771973f, 0.772461f, 0.772461f, + 0.000121f, 0.000116f, 0.000114f, 0.000112f, 0.000109f, 0.000108f, 0.000106f, 0.000105f, + 0.000104f, 0.000101f, 0.000095f, 0.000090f, 0.000085f, 0.000083f, 0.000104f, 0.000097f, + 0.000094f, 0.000154f, 0.000127f, 0.000178f, 0.000197f, 0.000194f, 0.000233f, 0.000213f, + 0.000279f, 0.000294f, 0.000293f, 0.000258f, 0.000319f, 0.000394f, 0.000344f, 0.000369f, + 0.000394f, 0.000410f, 0.000438f, 0.000509f, 0.000514f, 0.000580f, 0.000617f, 0.000684f, + 0.000807f, 0.000812f, 0.000914f, 0.001094f, 0.001183f, 0.001436f, 0.001639f, 0.002033f, + 0.002523f, 0.003073f, 0.004063f, 0.005680f, 0.008560f, 0.013466f, 0.024109f, 0.047791f, + 0.102051f, 0.213867f, 0.740234f, 0.746582f, 0.748047f, 0.748535f, 0.749023f, 0.749023f, + 0.000000f, 0.000113f, 0.000108f, 0.000107f, 0.000104f, 0.000102f, 0.000099f, 0.000099f, + 0.000097f, 0.000096f, 0.000095f, 0.000091f, 0.000086f, 0.000081f, 0.000077f, 0.000073f, + 0.000085f, 0.000091f, 0.000070f, 0.000102f, 0.000117f, 0.000131f, 0.000145f, 0.000148f, + 0.000171f, 0.000178f, 0.000178f, 0.000207f, 0.000225f, 0.000209f, 0.000285f, 0.000238f, + 0.000260f, 0.000298f, 0.000331f, 0.000360f, 0.000371f, 0.000346f, 0.000407f, 0.000443f, + 0.000494f, 0.000516f, 0.000578f, 0.000662f, 0.000767f, 0.000847f, 0.001004f, 0.001149f, + 0.001451f, 0.001783f, 0.002310f, 0.003262f, 0.004593f, 0.007309f, 0.012985f, 0.026703f, + 0.064026f, 0.158813f, 0.712891f, 0.719238f, 0.722168f, 0.721680f, 0.722168f, 0.722656f, + 0.000000f, 0.000105f, 0.000102f, 0.000098f, 0.000094f, 0.000092f, 0.000091f, 0.000089f, + 0.000088f, 0.000086f, 0.000085f, 0.000084f, 0.000083f, 0.000080f, 0.000076f, 0.000073f, + 0.000069f, 0.000065f, 0.000062f, 0.000059f, 0.000068f, 0.000063f, 0.000069f, 0.000074f, + 0.000087f, 0.000102f, 0.000112f, 0.000130f, 0.000137f, 0.000129f, 0.000143f, 0.000168f, + 0.000180f, 0.000178f, 0.000189f, 0.000198f, 0.000222f, 0.000240f, 0.000262f, 0.000285f, + 0.000304f, 0.000317f, 0.000339f, 0.000399f, 0.000439f, 0.000490f, 0.000570f, 0.000658f, + 0.000781f, 0.000988f, 0.001235f, 0.001674f, 0.002407f, 0.003725f, 0.006485f, 0.013199f, + 0.034546f, 0.107605f, 0.682129f, 0.691406f, 0.692871f, 0.691406f, 0.692871f, 0.692871f, + 0.000105f, 0.000089f, 0.000085f, 0.000080f, 0.000078f, 0.000078f, 0.000075f, 0.000074f, + 0.000072f, 0.000072f, 0.000070f, 0.000071f, 0.000069f, 0.000069f, 0.000069f, 0.000068f, + 0.000066f, 0.000063f, 0.000060f, 0.000057f, 0.000054f, 0.000052f, 0.000049f, 0.000047f, + 0.000046f, 0.000045f, 0.000048f, 0.000055f, 0.000060f, 0.000068f, 0.000083f, 0.000087f, + 0.000092f, 0.000103f, 0.000109f, 0.000117f, 0.000130f, 0.000150f, 0.000148f, 0.000142f, + 0.000167f, 0.000186f, 0.000210f, 0.000213f, 0.000232f, 0.000280f, 0.000292f, 0.000329f, + 0.000391f, 0.000456f, 0.000596f, 0.000764f, 0.001065f, 0.001633f, 0.002806f, 0.005909f, + 0.015488f, 0.062378f, 0.651367f, 0.659668f, 0.661133f, 0.661133f, 0.660645f, 0.661621f, + 0.000034f, 0.000037f, 0.000048f, 0.000051f, 0.000047f, 0.000049f, 0.000047f, 0.000051f, + 0.000049f, 0.000051f, 0.000049f, 0.000050f, 0.000051f, 0.000050f, 0.000050f, 0.000049f, + 0.000051f, 0.000050f, 0.000051f, 0.000050f, 0.000049f, 0.000047f, 0.000045f, 0.000043f, + 0.000041f, 0.000039f, 0.000037f, 0.000035f, 0.000033f, 0.000032f, 0.000030f, 0.000029f, + 0.000034f, 0.000041f, 0.000046f, 0.000057f, 0.000063f, 0.000067f, 0.000065f, 0.000072f, + 0.000083f, 0.000093f, 0.000096f, 0.000102f, 0.000102f, 0.000135f, 0.000134f, 0.000151f, + 0.000184f, 0.000198f, 0.000245f, 0.000306f, 0.000425f, 0.000607f, 0.001032f, 0.002081f, + 0.005886f, 0.027924f, 0.617188f, 0.625977f, 0.627441f, 0.627930f, 0.626953f, 0.628418f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000006f, 0.000010f, 0.000014f, + 0.000016f, 0.000014f, 0.000019f, 0.000022f, 0.000022f, 0.000022f, 0.000025f, 0.000026f, + 0.000027f, 0.000028f, 0.000029f, 0.000029f, 0.000029f, 0.000030f, 0.000030f, 0.000031f, + 0.000032f, 0.000032f, 0.000031f, 0.000030f, 0.000028f, 0.000027f, 0.000026f, 0.000024f, + 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000022f, 0.000024f, + 0.000027f, 0.000035f, 0.000041f, 0.000034f, 0.000041f, 0.000052f, 0.000051f, 0.000051f, + 0.000058f, 0.000070f, 0.000074f, 0.000103f, 0.000119f, 0.000169f, 0.000277f, 0.000510f, + 0.001495f, 0.008766f, 0.583008f, 0.590332f, 0.591797f, 0.591797f, 0.592285f, 0.592285f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000003f, 0.000005f, 0.000006f, + 0.000008f, 0.000009f, 0.000010f, 0.000010f, 0.000012f, 0.000012f, 0.000013f, 0.000014f, + 0.000015f, 0.000015f, 0.000015f, 0.000015f, 0.000014f, 0.000013f, 0.000013f, 0.000012f, + 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000014f, 0.000011f, 0.000015f, + 0.000017f, 0.000017f, 0.000021f, 0.000020f, 0.000026f, 0.000026f, 0.000042f, 0.000069f, + 0.000178f, 0.001302f, 0.544434f, 0.553711f, 0.554688f, 0.554688f, 0.556152f, 0.556641f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000002f, 0.000003f, 0.000003f, + 0.000003f, 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000001f, 0.000003f, 0.000003f, + 0.000004f, 0.000014f, 0.506836f, 0.515137f, 0.516113f, 0.516602f, 0.517090f, 0.517578f, + }, + { + 0.089539f, 0.244873f, 0.368164f, 0.464355f, 0.539551f, 0.599121f, 0.648438f, 0.688477f, + 0.721680f, 0.749512f, 0.772461f, 0.793945f, 0.811523f, 0.826172f, 0.841309f, 0.854004f, + 0.863770f, 0.874512f, 0.883301f, 0.891602f, 0.898438f, 0.906250f, 0.912109f, 0.917969f, + 0.922852f, 0.928223f, 0.932617f, 0.937012f, 0.940918f, 0.944336f, 0.948242f, 0.951660f, + 0.954590f, 0.957520f, 0.960449f, 0.962891f, 0.965820f, 0.967773f, 0.970215f, 0.972656f, + 0.974609f, 0.976074f, 0.978516f, 0.979492f, 0.981934f, 0.983398f, 0.984863f, 0.986328f, + 0.987793f, 0.988770f, 0.990234f, 0.991699f, 0.993164f, 0.994141f, 0.995117f, 0.996582f, + 0.997559f, 0.998535f, 0.999023f, 0.998535f, 0.997559f, 0.997070f, 0.996582f, 0.995605f, + 0.045563f, 0.143921f, 0.242798f, 0.334717f, 0.417969f, 0.489258f, 0.550293f, 0.602051f, + 0.646484f, 0.683594f, 0.715820f, 0.743652f, 0.767090f, 0.788086f, 0.805664f, 0.822266f, + 0.836426f, 0.849609f, 0.861328f, 0.870117f, 0.879883f, 0.889160f, 0.896973f, 0.903320f, + 0.909668f, 0.916016f, 0.921875f, 0.926758f, 0.931641f, 0.936523f, 0.940430f, 0.943848f, + 0.947266f, 0.951172f, 0.954102f, 0.957520f, 0.960449f, 0.962891f, 0.965820f, 0.968262f, + 0.970215f, 0.973145f, 0.974121f, 0.976074f, 0.979004f, 0.980469f, 0.982422f, 0.983887f, + 0.985352f, 0.986816f, 0.988281f, 0.989746f, 0.991211f, 0.992188f, 0.994141f, 0.995117f, + 0.996094f, 0.997070f, 0.998535f, 0.997559f, 0.997070f, 0.996582f, 0.996094f, 0.995117f, + 0.026855f, 0.089233f, 0.159790f, 0.234619f, 0.308838f, 0.381348f, 0.447754f, 0.507812f, + 0.561035f, 0.606934f, 0.646484f, 0.683105f, 0.712402f, 0.740234f, 0.763184f, 0.784668f, + 0.802246f, 0.819336f, 0.833984f, 0.846680f, 0.857910f, 0.868652f, 0.878418f, 0.886719f, + 0.895508f, 0.903320f, 0.909668f, 0.915527f, 0.920410f, 0.926270f, 0.931152f, 0.935547f, + 0.940430f, 0.943848f, 0.947754f, 0.951172f, 0.954590f, 0.958008f, 0.960449f, 0.963379f, + 0.966309f, 0.968750f, 0.971191f, 0.973145f, 0.975586f, 0.977051f, 0.979004f, 0.981445f, + 0.982910f, 0.983887f, 0.985840f, 0.987305f, 0.988770f, 0.990723f, 0.992188f, 0.993164f, + 0.994629f, 0.996094f, 0.998047f, 0.997070f, 0.996582f, 0.996094f, 0.995605f, 0.995117f, + 0.017746f, 0.058746f, 0.108276f, 0.163818f, 0.224365f, 0.288086f, 0.351562f, 0.413086f, + 0.470947f, 0.522949f, 0.569824f, 0.612793f, 0.650879f, 0.684570f, 0.713867f, 0.739258f, + 0.762695f, 0.783203f, 0.800781f, 0.817871f, 0.833008f, 0.845215f, 0.857422f, 0.868164f, + 0.877441f, 0.886230f, 0.894043f, 0.902832f, 0.908691f, 0.915039f, 0.921387f, 0.925781f, + 0.930664f, 0.936035f, 0.939941f, 0.944336f, 0.948242f, 0.951660f, 0.955078f, 0.957520f, + 0.961426f, 0.964355f, 0.967285f, 0.968750f, 0.971680f, 0.974121f, 0.975586f, 0.978027f, + 0.979980f, 0.981934f, 0.983887f, 0.985352f, 0.987305f, 0.988770f, 0.989746f, 0.991211f, + 0.992676f, 0.993652f, 0.997070f, 0.996582f, 0.996582f, 0.996094f, 0.995117f, 0.994629f, + 0.012337f, 0.041229f, 0.075928f, 0.117065f, 0.163208f, 0.214478f, 0.270020f, 0.327148f, + 0.383301f, 0.437500f, 0.490234f, 0.536621f, 0.581543f, 0.621094f, 0.656250f, 0.688477f, + 0.716797f, 0.741699f, 0.763672f, 0.784668f, 0.802246f, 0.818359f, 0.832520f, 0.845703f, + 0.857422f, 0.868164f, 0.877930f, 0.886230f, 0.895020f, 0.902344f, 0.909668f, 0.915039f, + 0.921875f, 0.926758f, 0.931641f, 0.937012f, 0.940430f, 0.946289f, 0.949219f, 0.952637f, + 0.956055f, 0.958984f, 0.961914f, 0.964844f, 0.967773f, 0.970215f, 0.972656f, 0.974609f, + 0.976562f, 0.979004f, 0.980957f, 0.982910f, 0.984863f, 0.986816f, 0.987793f, 0.989746f, + 0.990723f, 0.992676f, 0.996582f, 0.996094f, 0.995605f, 0.995117f, 0.994629f, 0.994141f, + 0.009315f, 0.030411f, 0.055756f, 0.085632f, 0.121094f, 0.160889f, 0.206055f, 0.254150f, + 0.305664f, 0.357422f, 0.408447f, 0.459717f, 0.506836f, 0.551270f, 0.592773f, 0.629395f, + 0.662598f, 0.692871f, 0.719727f, 0.745117f, 0.767090f, 0.786133f, 0.804688f, 0.819336f, + 0.834473f, 0.847168f, 0.858398f, 0.869629f, 0.879395f, 0.888672f, 0.895020f, 0.903320f, + 0.910156f, 0.916016f, 0.922363f, 0.928223f, 0.933105f, 0.937012f, 0.941406f, 0.946289f, + 0.950195f, 0.954102f, 0.957031f, 0.960449f, 0.963379f, 0.965820f, 0.969238f, 0.971191f, + 0.974121f, 0.976074f, 0.978027f, 0.979980f, 0.982422f, 0.984375f, 0.985840f, 0.987793f, + 0.989258f, 0.990723f, 0.995605f, 0.995605f, 0.995117f, 0.994629f, 0.994629f, 0.993652f, + 0.006634f, 0.022736f, 0.041962f, 0.064026f, 0.090759f, 0.122192f, 0.157593f, 0.197510f, + 0.240356f, 0.287354f, 0.335693f, 0.384766f, 0.432373f, 0.479736f, 0.523438f, 0.565430f, + 0.604004f, 0.639160f, 0.670898f, 0.699219f, 0.726562f, 0.749023f, 0.770508f, 0.790527f, + 0.806641f, 0.822754f, 0.836426f, 0.848633f, 0.859863f, 0.871582f, 0.881348f, 0.889160f, + 0.897949f, 0.905273f, 0.912598f, 0.918945f, 0.924316f, 0.929199f, 0.935059f, 0.938965f, + 0.943848f, 0.947266f, 0.951660f, 0.955078f, 0.958496f, 0.961914f, 0.964844f, 0.967773f, + 0.970703f, 0.973145f, 0.975098f, 0.977539f, 0.979492f, 0.981445f, 0.983887f, 0.985352f, + 0.987305f, 0.989258f, 0.995117f, 0.994629f, 0.994141f, 0.994141f, 0.993652f, 0.993164f, + 0.005428f, 0.017807f, 0.032166f, 0.049652f, 0.070007f, 0.093811f, 0.121765f, 0.153564f, + 0.189087f, 0.228516f, 0.270752f, 0.316162f, 0.362061f, 0.408936f, 0.453857f, 0.498779f, + 0.540527f, 0.579590f, 0.615723f, 0.649902f, 0.679688f, 0.707520f, 0.732422f, 0.755371f, + 0.775391f, 0.794922f, 0.811035f, 0.826172f, 0.839844f, 0.852051f, 0.864258f, 0.875000f, + 0.883301f, 0.892578f, 0.899902f, 0.907715f, 0.914062f, 0.920410f, 0.926270f, 0.931641f, + 0.936035f, 0.940918f, 0.945312f, 0.949219f, 0.954102f, 0.957031f, 0.960938f, 0.963379f, + 0.966797f, 0.969238f, 0.972168f, 0.974609f, 0.977051f, 0.979492f, 0.980957f, 0.983398f, + 0.985352f, 0.987305f, 0.994141f, 0.994141f, 0.994141f, 0.993652f, 0.993164f, 0.992676f, + 0.004223f, 0.014046f, 0.025452f, 0.039062f, 0.055115f, 0.073608f, 0.095642f, 0.120239f, + 0.149292f, 0.182251f, 0.217529f, 0.257080f, 0.298828f, 0.342773f, 0.387207f, 0.431152f, + 0.474609f, 0.516602f, 0.556641f, 0.593750f, 0.628418f, 0.660156f, 0.689453f, 0.715820f, + 0.740723f, 0.762207f, 0.782227f, 0.799805f, 0.816406f, 0.830566f, 0.844727f, 0.855469f, + 0.867188f, 0.877441f, 0.886230f, 0.895020f, 0.903809f, 0.910645f, 0.917480f, 0.923340f, + 0.928711f, 0.934570f, 0.939453f, 0.943848f, 0.948242f, 0.952148f, 0.956055f, 0.959473f, + 0.961914f, 0.965820f, 0.968750f, 0.971680f, 0.974121f, 0.975586f, 0.979004f, 0.980957f, + 0.983398f, 0.985352f, 0.993652f, 0.993652f, 0.993164f, 0.993164f, 0.992676f, 0.991699f, + 0.003532f, 0.011536f, 0.020645f, 0.031342f, 0.044098f, 0.058624f, 0.075989f, 0.096252f, + 0.119141f, 0.145386f, 0.175049f, 0.208130f, 0.244385f, 0.283203f, 0.324463f, 0.367432f, + 0.410400f, 0.453369f, 0.495361f, 0.534668f, 0.572266f, 0.607910f, 0.641602f, 0.672852f, + 0.700195f, 0.725098f, 0.748047f, 0.769531f, 0.789062f, 0.806152f, 0.821777f, 0.835938f, + 0.848633f, 0.860352f, 0.872070f, 0.881836f, 0.890625f, 0.898926f, 0.906738f, 0.913086f, + 0.919922f, 0.925781f, 0.931641f, 0.936523f, 0.941406f, 0.946289f, 0.950684f, 0.954590f, + 0.958008f, 0.961426f, 0.964844f, 0.968262f, 0.970703f, 0.973633f, 0.976074f, 0.978516f, + 0.980469f, 0.982910f, 0.992676f, 0.992676f, 0.992188f, 0.992188f, 0.991699f, 0.990723f, + 0.002850f, 0.009483f, 0.016647f, 0.025833f, 0.035889f, 0.047424f, 0.061646f, 0.076660f, + 0.095642f, 0.117065f, 0.141113f, 0.168457f, 0.198975f, 0.233032f, 0.269775f, 0.308838f, + 0.349854f, 0.391357f, 0.432861f, 0.474121f, 0.515625f, 0.552734f, 0.589355f, 0.622559f, + 0.654785f, 0.683594f, 0.710938f, 0.735352f, 0.757812f, 0.777344f, 0.795898f, 0.812988f, + 0.827637f, 0.842285f, 0.854492f, 0.866211f, 0.876953f, 0.886719f, 0.895508f, 0.902832f, + 0.911133f, 0.917969f, 0.924316f, 0.929688f, 0.935059f, 0.940430f, 0.945312f, 0.949219f, + 0.953125f, 0.958008f, 0.961426f, 0.964844f, 0.967285f, 0.970703f, 0.973633f, 0.975586f, + 0.978516f, 0.981445f, 0.991699f, 0.992188f, 0.991699f, 0.991211f, 0.991211f, 0.990723f, + 0.002628f, 0.007713f, 0.014069f, 0.021484f, 0.029709f, 0.038910f, 0.050201f, 0.063171f, + 0.078186f, 0.094849f, 0.114563f, 0.137329f, 0.162720f, 0.190918f, 0.222656f, 0.257568f, + 0.293945f, 0.332764f, 0.372803f, 0.414551f, 0.455078f, 0.495361f, 0.533691f, 0.571289f, + 0.606445f, 0.639160f, 0.668457f, 0.697754f, 0.723633f, 0.746094f, 0.767090f, 0.787598f, + 0.804199f, 0.820801f, 0.834473f, 0.848633f, 0.860352f, 0.872559f, 0.882324f, 0.891602f, + 0.899902f, 0.907715f, 0.915039f, 0.921387f, 0.927734f, 0.934082f, 0.938965f, 0.944824f, + 0.948730f, 0.953125f, 0.956543f, 0.960938f, 0.963867f, 0.967285f, 0.970215f, 0.973145f, + 0.976074f, 0.978516f, 0.990234f, 0.990723f, 0.990723f, 0.991211f, 0.990234f, 0.990234f, + 0.002131f, 0.006535f, 0.012016f, 0.017670f, 0.024780f, 0.032837f, 0.041199f, 0.051819f, + 0.063904f, 0.077759f, 0.093689f, 0.112610f, 0.133057f, 0.156860f, 0.183472f, 0.213257f, + 0.245605f, 0.281006f, 0.318115f, 0.357422f, 0.397217f, 0.437500f, 0.478271f, 0.516602f, + 0.554688f, 0.589844f, 0.623535f, 0.654785f, 0.684082f, 0.710938f, 0.734375f, 0.757812f, + 0.777832f, 0.795898f, 0.813477f, 0.828613f, 0.843262f, 0.855957f, 0.867676f, 0.878906f, + 0.888184f, 0.897461f, 0.905273f, 0.912598f, 0.919922f, 0.926758f, 0.932129f, 0.937988f, + 0.942871f, 0.947754f, 0.951660f, 0.955566f, 0.960449f, 0.964355f, 0.967285f, 0.970215f, + 0.973145f, 0.976074f, 0.989746f, 0.990234f, 0.990234f, 0.990234f, 0.989746f, 0.988770f, + 0.001566f, 0.005798f, 0.010231f, 0.015259f, 0.020920f, 0.027176f, 0.034607f, 0.043335f, + 0.052887f, 0.064392f, 0.077576f, 0.092712f, 0.109802f, 0.129639f, 0.151611f, 0.176758f, + 0.204346f, 0.235474f, 0.269043f, 0.304688f, 0.342529f, 0.381836f, 0.421143f, 0.460449f, + 0.500488f, 0.538086f, 0.574219f, 0.608887f, 0.640625f, 0.670898f, 0.699219f, 0.725098f, + 0.748535f, 0.769043f, 0.788574f, 0.807129f, 0.823242f, 0.837402f, 0.850586f, 0.863281f, + 0.874512f, 0.885254f, 0.894043f, 0.902832f, 0.910645f, 0.917969f, 0.924805f, 0.931152f, + 0.936523f, 0.941895f, 0.947266f, 0.951172f, 0.955566f, 0.960449f, 0.963867f, 0.966797f, + 0.970703f, 0.973145f, 0.988281f, 0.989258f, 0.989258f, 0.989258f, 0.988770f, 0.988281f, + 0.001427f, 0.004749f, 0.008934f, 0.012833f, 0.017670f, 0.023483f, 0.029114f, 0.036438f, + 0.044556f, 0.054047f, 0.064453f, 0.077148f, 0.091309f, 0.107544f, 0.125854f, 0.146729f, + 0.170776f, 0.197266f, 0.226440f, 0.257568f, 0.292236f, 0.329346f, 0.367188f, 0.405762f, + 0.445557f, 0.484619f, 0.522949f, 0.559570f, 0.595215f, 0.627441f, 0.659180f, 0.687012f, + 0.714355f, 0.739258f, 0.761719f, 0.781738f, 0.800781f, 0.817383f, 0.833984f, 0.847168f, + 0.859375f, 0.872070f, 0.882324f, 0.891602f, 0.900879f, 0.909668f, 0.916504f, 0.923828f, + 0.930176f, 0.936523f, 0.941895f, 0.946777f, 0.951172f, 0.956055f, 0.960449f, 0.963867f, + 0.967285f, 0.970703f, 0.987305f, 0.988770f, 0.988281f, 0.987793f, 0.987793f, 0.987793f, + 0.001357f, 0.004501f, 0.007557f, 0.011284f, 0.015236f, 0.019791f, 0.025101f, 0.030838f, + 0.037628f, 0.045532f, 0.054596f, 0.064636f, 0.076355f, 0.089905f, 0.105042f, 0.122498f, + 0.142334f, 0.164307f, 0.189697f, 0.217896f, 0.248413f, 0.281494f, 0.316406f, 0.354004f, + 0.391846f, 0.430664f, 0.469971f, 0.508301f, 0.545898f, 0.582031f, 0.615723f, 0.647461f, + 0.677734f, 0.704590f, 0.731445f, 0.754395f, 0.775391f, 0.794922f, 0.811523f, 0.829102f, + 0.842773f, 0.856934f, 0.868652f, 0.880371f, 0.891113f, 0.899414f, 0.908203f, 0.915527f, + 0.922852f, 0.930176f, 0.936035f, 0.941406f, 0.947266f, 0.951660f, 0.957031f, 0.960449f, + 0.963867f, 0.968262f, 0.986328f, 0.987305f, 0.987793f, 0.987305f, 0.987305f, 0.986816f, + 0.001239f, 0.003864f, 0.006699f, 0.009621f, 0.013008f, 0.017059f, 0.021805f, 0.026703f, + 0.032562f, 0.039185f, 0.045807f, 0.054352f, 0.064514f, 0.075439f, 0.088257f, 0.102478f, + 0.119263f, 0.138306f, 0.159546f, 0.183228f, 0.209961f, 0.239258f, 0.271484f, 0.305176f, + 0.341797f, 0.379639f, 0.417480f, 0.456787f, 0.495605f, 0.532227f, 0.570801f, 0.604980f, + 0.637207f, 0.666992f, 0.696289f, 0.722656f, 0.746582f, 0.768555f, 0.789062f, 0.808105f, + 0.824219f, 0.839844f, 0.854492f, 0.865723f, 0.878418f, 0.888672f, 0.897461f, 0.906738f, + 0.915039f, 0.922363f, 0.929199f, 0.935547f, 0.941895f, 0.946289f, 0.952148f, 0.956543f, + 0.960449f, 0.964844f, 0.985352f, 0.986816f, 0.986816f, 0.986328f, 0.986328f, 0.985840f, + 0.001151f, 0.003429f, 0.005753f, 0.008400f, 0.011391f, 0.014877f, 0.018494f, 0.022858f, + 0.028046f, 0.033112f, 0.039642f, 0.046661f, 0.054565f, 0.064026f, 0.074280f, 0.086243f, + 0.100403f, 0.116150f, 0.133789f, 0.154053f, 0.176636f, 0.202393f, 0.230957f, 0.261719f, + 0.295166f, 0.330322f, 0.367432f, 0.405518f, 0.445312f, 0.483398f, 0.520996f, 0.558105f, + 0.594238f, 0.626465f, 0.659668f, 0.688477f, 0.714844f, 0.740723f, 0.763672f, 0.784180f, + 0.804199f, 0.821289f, 0.837402f, 0.852051f, 0.864258f, 0.876465f, 0.886719f, 0.897949f, + 0.906250f, 0.915039f, 0.922363f, 0.929199f, 0.935547f, 0.941406f, 0.946777f, 0.952637f, + 0.958008f, 0.961914f, 0.983887f, 0.985840f, 0.985352f, 0.985352f, 0.984863f, 0.984863f, + 0.001000f, 0.002768f, 0.005127f, 0.007515f, 0.010155f, 0.013283f, 0.016205f, 0.019714f, + 0.023987f, 0.028854f, 0.033905f, 0.040161f, 0.046814f, 0.054199f, 0.063110f, 0.073303f, + 0.084839f, 0.098145f, 0.112854f, 0.129883f, 0.149292f, 0.171387f, 0.195435f, 0.222778f, + 0.252686f, 0.285400f, 0.320312f, 0.356689f, 0.394531f, 0.433105f, 0.471924f, 0.510742f, + 0.547852f, 0.584473f, 0.617676f, 0.650879f, 0.680664f, 0.708984f, 0.734375f, 0.759277f, + 0.780762f, 0.799805f, 0.817383f, 0.834473f, 0.849121f, 0.862793f, 0.875488f, 0.886719f, + 0.896484f, 0.906250f, 0.915039f, 0.923828f, 0.930176f, 0.936035f, 0.942871f, 0.948242f, + 0.953613f, 0.958008f, 0.982910f, 0.983887f, 0.984375f, 0.983887f, 0.984375f, 0.983398f, + 0.000799f, 0.002705f, 0.004459f, 0.006573f, 0.008842f, 0.011375f, 0.014099f, 0.017487f, + 0.020798f, 0.024963f, 0.029465f, 0.034637f, 0.039703f, 0.046478f, 0.054047f, 0.062256f, + 0.072388f, 0.082947f, 0.095764f, 0.110229f, 0.126099f, 0.144775f, 0.165771f, 0.189697f, + 0.216187f, 0.244995f, 0.276123f, 0.310303f, 0.346191f, 0.384521f, 0.422607f, 0.461670f, + 0.500000f, 0.538574f, 0.575195f, 0.609863f, 0.643555f, 0.673828f, 0.702637f, 0.730469f, + 0.754395f, 0.777344f, 0.797363f, 0.815430f, 0.833008f, 0.848633f, 0.861328f, 0.875000f, + 0.886719f, 0.896973f, 0.906738f, 0.915039f, 0.923340f, 0.930176f, 0.936523f, 0.943848f, + 0.948730f, 0.954102f, 0.981445f, 0.983398f, 0.982910f, 0.983398f, 0.982910f, 0.982910f, + 0.000774f, 0.002554f, 0.003899f, 0.005875f, 0.007759f, 0.009949f, 0.012733f, 0.015060f, + 0.018280f, 0.021667f, 0.025574f, 0.029678f, 0.034698f, 0.040405f, 0.046570f, 0.053650f, + 0.061462f, 0.071106f, 0.081360f, 0.093323f, 0.107300f, 0.122864f, 0.140747f, 0.160522f, + 0.183960f, 0.209229f, 0.237305f, 0.268799f, 0.302002f, 0.337402f, 0.374023f, 0.413330f, + 0.451904f, 0.490967f, 0.529785f, 0.567383f, 0.603027f, 0.636719f, 0.668457f, 0.698242f, + 0.725586f, 0.750977f, 0.773926f, 0.793945f, 0.813965f, 0.831543f, 0.847656f, 0.861816f, + 0.874512f, 0.886719f, 0.897461f, 0.906738f, 0.915527f, 0.923828f, 0.931641f, 0.937988f, + 0.944824f, 0.949707f, 0.979980f, 0.981934f, 0.981934f, 0.981934f, 0.981934f, 0.981445f, + 0.000657f, 0.001934f, 0.003330f, 0.005280f, 0.006748f, 0.009079f, 0.010994f, 0.013763f, + 0.015945f, 0.019150f, 0.022003f, 0.026001f, 0.030350f, 0.034790f, 0.040253f, 0.045898f, + 0.052795f, 0.060852f, 0.069641f, 0.079346f, 0.091187f, 0.104492f, 0.119751f, 0.136963f, + 0.156372f, 0.178345f, 0.203247f, 0.230957f, 0.260742f, 0.294189f, 0.328613f, 0.365723f, + 0.403564f, 0.443115f, 0.482910f, 0.521484f, 0.559570f, 0.596680f, 0.630859f, 0.664062f, + 0.694336f, 0.722168f, 0.747559f, 0.771484f, 0.793457f, 0.813477f, 0.830078f, 0.846191f, + 0.861816f, 0.874023f, 0.887207f, 0.898438f, 0.908691f, 0.916992f, 0.925293f, 0.933594f, + 0.939941f, 0.946777f, 0.978516f, 0.980469f, 0.980469f, 0.980469f, 0.980469f, 0.980469f, + 0.000818f, 0.001935f, 0.003246f, 0.004658f, 0.006229f, 0.007912f, 0.010017f, 0.012093f, + 0.014259f, 0.016586f, 0.019653f, 0.022659f, 0.026413f, 0.030289f, 0.034790f, 0.039917f, + 0.045441f, 0.052338f, 0.059479f, 0.068115f, 0.077759f, 0.089050f, 0.102051f, 0.116272f, + 0.133179f, 0.152344f, 0.173340f, 0.197876f, 0.224243f, 0.254150f, 0.286621f, 0.321533f, + 0.357666f, 0.396729f, 0.436279f, 0.475830f, 0.514648f, 0.553711f, 0.590332f, 0.626465f, + 0.659180f, 0.689941f, 0.719238f, 0.746094f, 0.770020f, 0.792480f, 0.812500f, 0.830566f, + 0.846680f, 0.862305f, 0.875977f, 0.888184f, 0.899414f, 0.910156f, 0.918945f, 0.927246f, + 0.935059f, 0.941895f, 0.977051f, 0.979004f, 0.979492f, 0.979004f, 0.979492f, 0.979004f, + 0.000583f, 0.001696f, 0.003044f, 0.004276f, 0.005394f, 0.007111f, 0.009048f, 0.010727f, + 0.012802f, 0.014549f, 0.017319f, 0.019943f, 0.023132f, 0.026459f, 0.030212f, 0.034576f, + 0.039612f, 0.045105f, 0.051422f, 0.058594f, 0.066833f, 0.076416f, 0.087341f, 0.099792f, + 0.113647f, 0.130005f, 0.147827f, 0.168945f, 0.192261f, 0.218750f, 0.247803f, 0.280029f, + 0.314209f, 0.351074f, 0.389404f, 0.429199f, 0.468750f, 0.508301f, 0.547852f, 0.585938f, + 0.622070f, 0.655762f, 0.687988f, 0.718262f, 0.744629f, 0.769531f, 0.792480f, 0.812500f, + 0.832520f, 0.848633f, 0.863770f, 0.877441f, 0.890137f, 0.901367f, 0.912109f, 0.921387f, + 0.929199f, 0.937500f, 0.975586f, 0.978027f, 0.978027f, 0.977539f, 0.977539f, 0.977051f, + 0.000463f, 0.001634f, 0.002899f, 0.003574f, 0.004932f, 0.006233f, 0.007866f, 0.009644f, + 0.011055f, 0.012894f, 0.015518f, 0.017792f, 0.020279f, 0.023178f, 0.026657f, 0.030136f, + 0.034271f, 0.039062f, 0.044586f, 0.050446f, 0.057739f, 0.065613f, 0.074646f, 0.084900f, + 0.097107f, 0.111023f, 0.126099f, 0.143921f, 0.164673f, 0.187500f, 0.213257f, 0.242065f, + 0.273926f, 0.308594f, 0.344971f, 0.383301f, 0.423340f, 0.463623f, 0.503906f, 0.543945f, + 0.582520f, 0.619629f, 0.653809f, 0.686523f, 0.717285f, 0.744629f, 0.770020f, 0.792969f, + 0.814453f, 0.833496f, 0.850098f, 0.866211f, 0.879395f, 0.893066f, 0.904297f, 0.914551f, + 0.923828f, 0.932129f, 0.973145f, 0.976074f, 0.976562f, 0.976074f, 0.976074f, 0.976074f, + 0.000472f, 0.001289f, 0.002508f, 0.003481f, 0.004459f, 0.005894f, 0.007042f, 0.008232f, + 0.009972f, 0.011719f, 0.013435f, 0.015884f, 0.017899f, 0.020386f, 0.023422f, 0.026428f, + 0.030411f, 0.034180f, 0.038757f, 0.043854f, 0.049652f, 0.056549f, 0.064270f, 0.073303f, + 0.083252f, 0.095093f, 0.107910f, 0.123169f, 0.141113f, 0.160645f, 0.183472f, 0.208618f, + 0.237305f, 0.268799f, 0.302734f, 0.339600f, 0.377930f, 0.418457f, 0.459473f, 0.500000f, + 0.540527f, 0.579102f, 0.617188f, 0.652832f, 0.685547f, 0.716309f, 0.745117f, 0.771484f, + 0.794922f, 0.815918f, 0.834961f, 0.853027f, 0.868652f, 0.882324f, 0.895996f, 0.907227f, + 0.916992f, 0.927246f, 0.972168f, 0.974121f, 0.975098f, 0.973633f, 0.974609f, 0.973633f, + 0.000238f, 0.001453f, 0.002047f, 0.002985f, 0.004227f, 0.005272f, 0.006096f, 0.007309f, + 0.008957f, 0.010437f, 0.012184f, 0.014214f, 0.015793f, 0.018082f, 0.020538f, 0.023270f, + 0.026505f, 0.029648f, 0.033813f, 0.038300f, 0.043457f, 0.049042f, 0.055298f, 0.062744f, + 0.070984f, 0.081299f, 0.092590f, 0.105591f, 0.120361f, 0.137695f, 0.156982f, 0.179443f, + 0.204346f, 0.232788f, 0.263672f, 0.297363f, 0.334229f, 0.373047f, 0.414307f, 0.455322f, + 0.497314f, 0.538086f, 0.578613f, 0.616211f, 0.653320f, 0.686523f, 0.718262f, 0.747559f, + 0.773438f, 0.797363f, 0.818848f, 0.838867f, 0.856934f, 0.871582f, 0.885742f, 0.898926f, + 0.910645f, 0.920410f, 0.970215f, 0.971680f, 0.972656f, 0.972656f, 0.972168f, 0.972168f, + 0.000376f, 0.001075f, 0.002052f, 0.002823f, 0.003603f, 0.004509f, 0.005619f, 0.007008f, + 0.008064f, 0.009132f, 0.010849f, 0.012314f, 0.013817f, 0.015945f, 0.018188f, 0.020676f, + 0.022995f, 0.026230f, 0.029587f, 0.033234f, 0.037598f, 0.042328f, 0.048004f, 0.054230f, + 0.061188f, 0.069824f, 0.079468f, 0.090454f, 0.103271f, 0.117493f, 0.134644f, 0.153931f, + 0.175293f, 0.200806f, 0.228149f, 0.259277f, 0.293945f, 0.330566f, 0.370117f, 0.410889f, + 0.453369f, 0.495605f, 0.537109f, 0.578125f, 0.616699f, 0.653809f, 0.689453f, 0.721191f, + 0.750000f, 0.776855f, 0.800293f, 0.822754f, 0.841309f, 0.859863f, 0.876465f, 0.890137f, + 0.902832f, 0.914062f, 0.967773f, 0.970703f, 0.970703f, 0.970703f, 0.970703f, 0.970703f, + 0.000237f, 0.000972f, 0.001674f, 0.002413f, 0.003336f, 0.003956f, 0.005093f, 0.006039f, + 0.007069f, 0.008202f, 0.009613f, 0.011017f, 0.012520f, 0.014282f, 0.016068f, 0.017853f, + 0.020508f, 0.023117f, 0.025986f, 0.029160f, 0.032898f, 0.036865f, 0.041565f, 0.046997f, + 0.052887f, 0.060089f, 0.068176f, 0.077515f, 0.088257f, 0.100586f, 0.114929f, 0.131592f, + 0.150635f, 0.172241f, 0.196411f, 0.224731f, 0.255859f, 0.290039f, 0.327393f, 0.367188f, + 0.409180f, 0.451172f, 0.493896f, 0.536621f, 0.578613f, 0.618164f, 0.655762f, 0.691406f, + 0.724121f, 0.753906f, 0.781738f, 0.805176f, 0.827637f, 0.847656f, 0.864746f, 0.880859f, + 0.895508f, 0.907715f, 0.965332f, 0.968262f, 0.968750f, 0.969238f, 0.967773f, 0.967773f, + 0.000450f, 0.001033f, 0.001554f, 0.002131f, 0.002939f, 0.003662f, 0.004551f, 0.005722f, + 0.006405f, 0.007542f, 0.008484f, 0.009750f, 0.011017f, 0.012596f, 0.014046f, 0.015854f, + 0.017975f, 0.020264f, 0.022736f, 0.025497f, 0.028671f, 0.031952f, 0.036011f, 0.040741f, + 0.045746f, 0.051910f, 0.058868f, 0.066772f, 0.075867f, 0.086304f, 0.098328f, 0.112244f, + 0.128784f, 0.147217f, 0.168945f, 0.193848f, 0.221558f, 0.252441f, 0.287109f, 0.324951f, + 0.365234f, 0.407715f, 0.450684f, 0.494629f, 0.539062f, 0.580566f, 0.621094f, 0.659668f, + 0.695801f, 0.729004f, 0.758789f, 0.786133f, 0.810547f, 0.833008f, 0.852539f, 0.870117f, + 0.886719f, 0.900879f, 0.962891f, 0.966309f, 0.966309f, 0.966797f, 0.966797f, 0.966309f, + 0.000304f, 0.001050f, 0.001257f, 0.002295f, 0.002689f, 0.003885f, 0.004284f, 0.004726f, + 0.005547f, 0.006721f, 0.007595f, 0.008667f, 0.009811f, 0.011330f, 0.012642f, 0.014130f, + 0.016098f, 0.017975f, 0.019867f, 0.022247f, 0.024811f, 0.028030f, 0.031403f, 0.035461f, + 0.039642f, 0.044800f, 0.050720f, 0.057495f, 0.065002f, 0.073914f, 0.084290f, 0.095947f, + 0.109985f, 0.126343f, 0.144409f, 0.166138f, 0.190918f, 0.218750f, 0.250244f, 0.285400f, + 0.323730f, 0.364258f, 0.407471f, 0.452148f, 0.496338f, 0.540527f, 0.584473f, 0.625977f, + 0.665039f, 0.701172f, 0.735352f, 0.765137f, 0.792480f, 0.817383f, 0.840332f, 0.859863f, + 0.876953f, 0.893066f, 0.959961f, 0.963379f, 0.963867f, 0.964355f, 0.963867f, 0.963867f, + 0.000228f, 0.000682f, 0.001293f, 0.001717f, 0.002352f, 0.003160f, 0.003626f, 0.004360f, + 0.005348f, 0.005871f, 0.006870f, 0.007660f, 0.008957f, 0.010002f, 0.011299f, 0.012375f, + 0.014099f, 0.015900f, 0.017670f, 0.019363f, 0.022034f, 0.024216f, 0.027420f, 0.030930f, + 0.034454f, 0.038910f, 0.044006f, 0.049530f, 0.055878f, 0.063477f, 0.072083f, 0.082275f, + 0.094177f, 0.107666f, 0.123840f, 0.142090f, 0.163452f, 0.188477f, 0.216919f, 0.248047f, + 0.283447f, 0.322754f, 0.364990f, 0.408447f, 0.453613f, 0.500000f, 0.544922f, 0.589355f, + 0.631348f, 0.671387f, 0.708008f, 0.742188f, 0.773438f, 0.800781f, 0.824219f, 0.846680f, + 0.866699f, 0.884277f, 0.958008f, 0.960938f, 0.961426f, 0.962402f, 0.961914f, 0.960938f, + 0.000239f, 0.000731f, 0.001204f, 0.001637f, 0.002144f, 0.002913f, 0.003521f, 0.003828f, + 0.004517f, 0.005291f, 0.006203f, 0.006954f, 0.007740f, 0.008911f, 0.010239f, 0.011017f, + 0.012413f, 0.013863f, 0.015396f, 0.017181f, 0.019196f, 0.021439f, 0.024078f, 0.026993f, + 0.030182f, 0.033752f, 0.038055f, 0.042664f, 0.048004f, 0.054657f, 0.061920f, 0.070312f, + 0.080688f, 0.092041f, 0.105774f, 0.121094f, 0.140015f, 0.161255f, 0.186523f, 0.214966f, + 0.246948f, 0.283203f, 0.322998f, 0.365967f, 0.410400f, 0.457275f, 0.503906f, 0.550781f, + 0.596191f, 0.638672f, 0.678711f, 0.716797f, 0.750488f, 0.781738f, 0.809082f, 0.833496f, + 0.855469f, 0.874512f, 0.954590f, 0.958008f, 0.958984f, 0.958984f, 0.958984f, 0.958984f, + 0.000226f, 0.000663f, 0.001073f, 0.001420f, 0.002163f, 0.002567f, 0.003052f, 0.003433f, + 0.004181f, 0.004734f, 0.005516f, 0.006424f, 0.007050f, 0.008003f, 0.008659f, 0.009827f, + 0.011086f, 0.012398f, 0.013649f, 0.015266f, 0.016891f, 0.018921f, 0.021118f, 0.023560f, + 0.026505f, 0.029556f, 0.032715f, 0.036865f, 0.041077f, 0.046570f, 0.053314f, 0.060150f, + 0.068787f, 0.078552f, 0.090027f, 0.103638f, 0.119690f, 0.138184f, 0.159546f, 0.184692f, + 0.213745f, 0.245972f, 0.283203f, 0.324219f, 0.367920f, 0.414062f, 0.461914f, 0.509766f, + 0.557129f, 0.604492f, 0.647461f, 0.688965f, 0.727051f, 0.761230f, 0.791504f, 0.819824f, + 0.844238f, 0.865234f, 0.951660f, 0.955566f, 0.955566f, 0.956055f, 0.955078f, 0.956543f, + 0.000156f, 0.000587f, 0.001056f, 0.001499f, 0.001647f, 0.002380f, 0.002594f, 0.003469f, + 0.003777f, 0.004112f, 0.004925f, 0.005699f, 0.006180f, 0.007019f, 0.007957f, 0.008942f, + 0.009560f, 0.010727f, 0.011963f, 0.013123f, 0.014885f, 0.016556f, 0.018494f, 0.020355f, + 0.022766f, 0.025330f, 0.028320f, 0.031830f, 0.035736f, 0.040161f, 0.045532f, 0.052032f, + 0.059113f, 0.066833f, 0.076782f, 0.088501f, 0.101868f, 0.117310f, 0.136108f, 0.157959f, + 0.183105f, 0.212769f, 0.247070f, 0.284424f, 0.326660f, 0.371338f, 0.419189f, 0.468994f, + 0.518066f, 0.567383f, 0.613770f, 0.658691f, 0.700684f, 0.738770f, 0.771973f, 0.803223f, + 0.829590f, 0.854492f, 0.947266f, 0.952637f, 0.952637f, 0.952637f, 0.953125f, 0.952637f, + 0.000155f, 0.000358f, 0.000859f, 0.001402f, 0.001830f, 0.002092f, 0.002499f, 0.002672f, + 0.003410f, 0.003763f, 0.004375f, 0.005077f, 0.005535f, 0.006554f, 0.007004f, 0.007874f, + 0.008537f, 0.009529f, 0.010742f, 0.011749f, 0.013016f, 0.014427f, 0.015945f, 0.017929f, + 0.019775f, 0.022018f, 0.024460f, 0.027618f, 0.030640f, 0.034668f, 0.039154f, 0.044250f, + 0.050293f, 0.057068f, 0.065491f, 0.074951f, 0.086487f, 0.099670f, 0.115906f, 0.134277f, + 0.156860f, 0.182495f, 0.213135f, 0.248047f, 0.286621f, 0.329834f, 0.376709f, 0.426025f, + 0.476562f, 0.527832f, 0.577637f, 0.626465f, 0.671387f, 0.713379f, 0.752441f, 0.784668f, + 0.815430f, 0.841797f, 0.944336f, 0.948242f, 0.949219f, 0.949219f, 0.949219f, 0.949707f, + 0.000233f, 0.000639f, 0.000930f, 0.001277f, 0.001579f, 0.001916f, 0.002041f, 0.002625f, + 0.003035f, 0.003571f, 0.004124f, 0.004375f, 0.004978f, 0.005379f, 0.006348f, 0.006886f, + 0.007526f, 0.008430f, 0.009216f, 0.010262f, 0.011436f, 0.012779f, 0.014160f, 0.015549f, + 0.017120f, 0.019089f, 0.021164f, 0.023621f, 0.026352f, 0.029724f, 0.033447f, 0.037842f, + 0.042603f, 0.048737f, 0.055573f, 0.063721f, 0.073364f, 0.084778f, 0.098206f, 0.114197f, + 0.133423f, 0.155762f, 0.182739f, 0.213623f, 0.249512f, 0.289795f, 0.335205f, 0.383789f, + 0.434814f, 0.487305f, 0.540039f, 0.591797f, 0.640137f, 0.686035f, 0.727539f, 0.765137f, + 0.800293f, 0.830078f, 0.940430f, 0.944336f, 0.945312f, 0.946289f, 0.945801f, 0.945312f, + 0.000217f, 0.000519f, 0.000848f, 0.001180f, 0.001366f, 0.001589f, 0.001986f, 0.002354f, + 0.002987f, 0.003170f, 0.003576f, 0.003901f, 0.004440f, 0.004738f, 0.005543f, 0.006058f, + 0.006508f, 0.007511f, 0.008163f, 0.009132f, 0.010078f, 0.011246f, 0.012390f, 0.013412f, + 0.014938f, 0.016632f, 0.018433f, 0.020676f, 0.022995f, 0.025726f, 0.028702f, 0.032227f, + 0.036377f, 0.041992f, 0.047394f, 0.053986f, 0.062195f, 0.071716f, 0.082825f, 0.096802f, + 0.112732f, 0.132202f, 0.155273f, 0.182861f, 0.215210f, 0.252441f, 0.294678f, 0.341553f, + 0.392090f, 0.445557f, 0.499512f, 0.553711f, 0.606445f, 0.656250f, 0.703125f, 0.745605f, + 0.782715f, 0.816895f, 0.935547f, 0.939941f, 0.941406f, 0.941406f, 0.941406f, 0.940918f, + 0.000242f, 0.000678f, 0.000781f, 0.000928f, 0.001200f, 0.001592f, 0.001694f, 0.002096f, + 0.002703f, 0.002903f, 0.003170f, 0.003531f, 0.003918f, 0.004433f, 0.004955f, 0.005390f, + 0.005939f, 0.006454f, 0.007298f, 0.007782f, 0.008759f, 0.009567f, 0.010559f, 0.011650f, + 0.013046f, 0.014420f, 0.015793f, 0.017715f, 0.019699f, 0.021774f, 0.024460f, 0.027481f, + 0.031082f, 0.035065f, 0.039917f, 0.045715f, 0.052246f, 0.060486f, 0.070129f, 0.081482f, + 0.095093f, 0.111755f, 0.131714f, 0.155273f, 0.183838f, 0.217285f, 0.256348f, 0.300781f, + 0.350342f, 0.403076f, 0.458252f, 0.514160f, 0.570312f, 0.624512f, 0.675781f, 0.722168f, + 0.763672f, 0.800293f, 0.930664f, 0.935547f, 0.937500f, 0.937012f, 0.937500f, 0.937012f, + 0.000239f, 0.000297f, 0.000667f, 0.000785f, 0.001044f, 0.001269f, 0.001569f, 0.001950f, + 0.002224f, 0.002419f, 0.002810f, 0.003063f, 0.003626f, 0.003895f, 0.004261f, 0.004749f, + 0.005066f, 0.005726f, 0.006260f, 0.007019f, 0.007771f, 0.008369f, 0.008919f, 0.009941f, + 0.011101f, 0.012375f, 0.013519f, 0.015190f, 0.016891f, 0.018631f, 0.021011f, 0.023590f, + 0.026581f, 0.029892f, 0.033875f, 0.038757f, 0.044281f, 0.051147f, 0.058746f, 0.068481f, + 0.079834f, 0.094116f, 0.110779f, 0.131348f, 0.155884f, 0.185669f, 0.220825f, 0.261963f, + 0.308594f, 0.360352f, 0.416260f, 0.473877f, 0.532715f, 0.589844f, 0.645508f, 0.696289f, + 0.743652f, 0.784668f, 0.925781f, 0.930664f, 0.932129f, 0.932129f, 0.932129f, 0.932129f, + 0.000226f, 0.000351f, 0.000434f, 0.000624f, 0.000887f, 0.001040f, 0.001246f, 0.001665f, + 0.001856f, 0.002384f, 0.002420f, 0.002842f, 0.002874f, 0.003471f, 0.003735f, 0.004078f, + 0.004639f, 0.004910f, 0.005531f, 0.006065f, 0.006664f, 0.007370f, 0.007690f, 0.008690f, + 0.009544f, 0.010536f, 0.011795f, 0.012833f, 0.014183f, 0.015900f, 0.017899f, 0.019684f, + 0.022430f, 0.025253f, 0.028412f, 0.032410f, 0.037201f, 0.042633f, 0.049316f, 0.057159f, + 0.066772f, 0.078186f, 0.092590f, 0.110107f, 0.131348f, 0.156982f, 0.188232f, 0.225342f, + 0.269043f, 0.318604f, 0.373535f, 0.431641f, 0.492188f, 0.554199f, 0.613281f, 0.668945f, + 0.720703f, 0.766602f, 0.919922f, 0.925781f, 0.926758f, 0.926758f, 0.927246f, 0.926758f, + 0.000000f, 0.000340f, 0.000458f, 0.000715f, 0.000823f, 0.000895f, 0.001165f, 0.001518f, + 0.001636f, 0.001876f, 0.002190f, 0.002472f, 0.002640f, 0.002964f, 0.003340f, 0.003527f, + 0.004005f, 0.004227f, 0.004803f, 0.005260f, 0.005878f, 0.006042f, 0.006805f, 0.007500f, + 0.008469f, 0.009132f, 0.009949f, 0.011009f, 0.012077f, 0.013687f, 0.014938f, 0.016785f, + 0.018997f, 0.021194f, 0.023895f, 0.027283f, 0.030945f, 0.035583f, 0.040955f, 0.047760f, + 0.055573f, 0.065247f, 0.077209f, 0.091736f, 0.109619f, 0.131470f, 0.159058f, 0.192017f, + 0.231812f, 0.278076f, 0.331543f, 0.389404f, 0.450928f, 0.513672f, 0.577637f, 0.638672f, + 0.695801f, 0.746582f, 0.914062f, 0.919922f, 0.920898f, 0.921387f, 0.921387f, 0.921387f, + 0.000146f, 0.000319f, 0.000443f, 0.000458f, 0.000704f, 0.000894f, 0.001199f, 0.001324f, + 0.001549f, 0.001592f, 0.002081f, 0.002092f, 0.002237f, 0.002604f, 0.002815f, 0.003159f, + 0.003510f, 0.003937f, 0.004147f, 0.004425f, 0.004814f, 0.005318f, 0.005878f, 0.006413f, + 0.006924f, 0.007782f, 0.008408f, 0.009239f, 0.010414f, 0.011505f, 0.012642f, 0.014015f, + 0.015884f, 0.017563f, 0.019852f, 0.022598f, 0.025650f, 0.029663f, 0.033875f, 0.039307f, + 0.045898f, 0.053955f, 0.063782f, 0.075928f, 0.090820f, 0.109497f, 0.132690f, 0.161621f, + 0.196777f, 0.239624f, 0.290039f, 0.346436f, 0.408203f, 0.473633f, 0.540527f, 0.605957f, + 0.667969f, 0.725586f, 0.907715f, 0.914062f, 0.914062f, 0.915039f, 0.915039f, 0.915039f, + 0.000121f, 0.000251f, 0.000506f, 0.000532f, 0.000665f, 0.000830f, 0.001190f, 0.001164f, + 0.001290f, 0.001413f, 0.001755f, 0.001900f, 0.002157f, 0.002319f, 0.002422f, 0.002853f, + 0.003042f, 0.003254f, 0.003529f, 0.003725f, 0.004288f, 0.004585f, 0.005043f, 0.005539f, + 0.005970f, 0.006386f, 0.007126f, 0.007812f, 0.008652f, 0.009598f, 0.010651f, 0.011803f, + 0.013130f, 0.014702f, 0.016510f, 0.018814f, 0.021011f, 0.024368f, 0.028122f, 0.032379f, + 0.037506f, 0.044128f, 0.052277f, 0.062042f, 0.075073f, 0.090088f, 0.110107f, 0.134766f, + 0.165405f, 0.203613f, 0.249268f, 0.303955f, 0.365234f, 0.431396f, 0.501465f, 0.571777f, + 0.638672f, 0.702148f, 0.900879f, 0.906738f, 0.907227f, 0.908203f, 0.907227f, 0.908203f, + 0.000241f, 0.000122f, 0.000417f, 0.000505f, 0.000741f, 0.000782f, 0.000916f, 0.001145f, + 0.001189f, 0.001289f, 0.001331f, 0.001565f, 0.001779f, 0.002020f, 0.002171f, 0.002228f, + 0.002623f, 0.002752f, 0.002949f, 0.003157f, 0.003515f, 0.003847f, 0.004082f, 0.004429f, + 0.004990f, 0.005405f, 0.006008f, 0.006603f, 0.007103f, 0.007889f, 0.008789f, 0.009766f, + 0.010605f, 0.012177f, 0.013672f, 0.015305f, 0.017487f, 0.019913f, 0.022781f, 0.026245f, + 0.030670f, 0.035980f, 0.042389f, 0.050812f, 0.060883f, 0.073792f, 0.090088f, 0.111145f, + 0.138062f, 0.171143f, 0.212524f, 0.262695f, 0.322266f, 0.388184f, 0.460205f, 0.533203f, + 0.606445f, 0.676758f, 0.893066f, 0.898926f, 0.899414f, 0.899414f, 0.900879f, 0.900391f, + 0.000000f, 0.000114f, 0.000227f, 0.000407f, 0.000532f, 0.000732f, 0.000714f, 0.000922f, + 0.000993f, 0.001072f, 0.001190f, 0.001412f, 0.001569f, 0.001726f, 0.001959f, 0.002071f, + 0.002159f, 0.002350f, 0.002565f, 0.002729f, 0.003090f, 0.003248f, 0.003702f, 0.003761f, + 0.004192f, 0.004585f, 0.004925f, 0.005272f, 0.005966f, 0.006405f, 0.007275f, 0.007965f, + 0.008850f, 0.009872f, 0.011017f, 0.012383f, 0.014275f, 0.015900f, 0.018463f, 0.021194f, + 0.024673f, 0.028870f, 0.034271f, 0.040955f, 0.048981f, 0.059723f, 0.073059f, 0.090149f, + 0.112549f, 0.141357f, 0.178467f, 0.223755f, 0.280029f, 0.345215f, 0.417969f, 0.494385f, + 0.572266f, 0.648438f, 0.884277f, 0.890137f, 0.891602f, 0.891602f, 0.893066f, 0.892090f, + 0.000000f, 0.000219f, 0.000211f, 0.000333f, 0.000559f, 0.000609f, 0.000788f, 0.000805f, + 0.000869f, 0.000903f, 0.001101f, 0.001166f, 0.001302f, 0.001399f, 0.001456f, 0.001668f, + 0.001853f, 0.001999f, 0.002102f, 0.002256f, 0.002447f, 0.002728f, 0.002943f, 0.003178f, + 0.003515f, 0.003836f, 0.004074f, 0.004475f, 0.004745f, 0.005325f, 0.005970f, 0.006569f, + 0.007248f, 0.008102f, 0.008888f, 0.010132f, 0.011169f, 0.012947f, 0.014763f, 0.016891f, + 0.019760f, 0.023087f, 0.027176f, 0.032562f, 0.038940f, 0.047516f, 0.058167f, 0.072754f, + 0.090698f, 0.114929f, 0.146851f, 0.187744f, 0.239258f, 0.301514f, 0.373291f, 0.452637f, + 0.535645f, 0.617676f, 0.874512f, 0.880859f, 0.882324f, 0.883301f, 0.883301f, 0.882324f, + 0.000204f, 0.000207f, 0.000204f, 0.000322f, 0.000435f, 0.000480f, 0.000556f, 0.000615f, + 0.000747f, 0.000782f, 0.000844f, 0.001006f, 0.001159f, 0.001191f, 0.001231f, 0.001450f, + 0.001585f, 0.001633f, 0.001790f, 0.001919f, 0.002117f, 0.002298f, 0.002432f, 0.002651f, + 0.002939f, 0.003172f, 0.003399f, 0.003614f, 0.003944f, 0.004421f, 0.004704f, 0.005203f, + 0.005886f, 0.006454f, 0.007160f, 0.008049f, 0.009041f, 0.010201f, 0.011627f, 0.013237f, + 0.015404f, 0.018097f, 0.021469f, 0.025284f, 0.030884f, 0.036987f, 0.045990f, 0.056915f, + 0.072083f, 0.092163f, 0.119141f, 0.154419f, 0.200928f, 0.259277f, 0.328857f, 0.409424f, + 0.495605f, 0.584473f, 0.864258f, 0.871094f, 0.872070f, 0.873047f, 0.872559f, 0.873047f, + 0.000000f, 0.000044f, 0.000176f, 0.000290f, 0.000410f, 0.000390f, 0.000513f, 0.000546f, + 0.000647f, 0.000680f, 0.000827f, 0.000858f, 0.000958f, 0.001131f, 0.001102f, 0.001223f, + 0.001367f, 0.001401f, 0.001525f, 0.001610f, 0.001826f, 0.001821f, 0.002039f, 0.002253f, + 0.002459f, 0.002617f, 0.002708f, 0.003036f, 0.003279f, 0.003431f, 0.003805f, 0.004219f, + 0.004471f, 0.004929f, 0.005569f, 0.006310f, 0.007107f, 0.007988f, 0.009003f, 0.010384f, + 0.011856f, 0.014015f, 0.016418f, 0.019669f, 0.023666f, 0.028809f, 0.035583f, 0.044159f, + 0.056458f, 0.072571f, 0.094604f, 0.124329f, 0.164917f, 0.218018f, 0.284912f, 0.364746f, + 0.454102f, 0.549316f, 0.853027f, 0.859863f, 0.861328f, 0.861816f, 0.861816f, 0.861816f, + 0.000000f, 0.000069f, 0.000120f, 0.000345f, 0.000371f, 0.000398f, 0.000452f, 0.000396f, + 0.000498f, 0.000530f, 0.000596f, 0.000648f, 0.000781f, 0.000921f, 0.000995f, 0.001007f, + 0.001101f, 0.001146f, 0.001282f, 0.001278f, 0.001471f, 0.001554f, 0.001710f, 0.001811f, + 0.001995f, 0.001986f, 0.002314f, 0.002399f, 0.002499f, 0.002903f, 0.002975f, 0.003305f, + 0.003605f, 0.004086f, 0.004425f, 0.005081f, 0.005402f, 0.006035f, 0.006889f, 0.007755f, + 0.009041f, 0.010422f, 0.012672f, 0.014885f, 0.017746f, 0.021530f, 0.026733f, 0.033691f, + 0.043060f, 0.055847f, 0.073181f, 0.097473f, 0.132324f, 0.179077f, 0.241821f, 0.320068f, + 0.410400f, 0.510742f, 0.839844f, 0.847656f, 0.849121f, 0.849609f, 0.849121f, 0.849609f, + 0.000000f, 0.000000f, 0.000121f, 0.000243f, 0.000321f, 0.000354f, 0.000341f, 0.000431f, + 0.000423f, 0.000444f, 0.000473f, 0.000508f, 0.000595f, 0.000706f, 0.000737f, 0.000861f, + 0.000869f, 0.000926f, 0.001055f, 0.001104f, 0.001199f, 0.001306f, 0.001360f, 0.001433f, + 0.001530f, 0.001555f, 0.001673f, 0.001942f, 0.002138f, 0.002247f, 0.002562f, 0.002609f, + 0.002911f, 0.003204f, 0.003466f, 0.003757f, 0.004192f, 0.004845f, 0.005482f, 0.006008f, + 0.006874f, 0.007904f, 0.009171f, 0.011124f, 0.013260f, 0.015839f, 0.019821f, 0.024872f, + 0.031982f, 0.041534f, 0.055054f, 0.075012f, 0.103516f, 0.143677f, 0.199951f, 0.273438f, + 0.364502f, 0.469482f, 0.825684f, 0.834473f, 0.834961f, 0.835938f, 0.835938f, 0.835938f, + 0.000000f, 0.000000f, 0.000000f, 0.000120f, 0.000199f, 0.000272f, 0.000265f, 0.000363f, + 0.000379f, 0.000388f, 0.000489f, 0.000500f, 0.000488f, 0.000569f, 0.000604f, 0.000700f, + 0.000683f, 0.000720f, 0.000784f, 0.000844f, 0.001009f, 0.001047f, 0.001108f, 0.001258f, + 0.001276f, 0.001388f, 0.001410f, 0.001565f, 0.001592f, 0.001814f, 0.001800f, 0.002167f, + 0.002192f, 0.002556f, 0.002665f, 0.002905f, 0.003195f, 0.003574f, 0.004028f, 0.004513f, + 0.005127f, 0.005859f, 0.006847f, 0.008018f, 0.009491f, 0.011452f, 0.014099f, 0.017792f, + 0.022995f, 0.030258f, 0.040588f, 0.055878f, 0.078308f, 0.111450f, 0.160278f, 0.229248f, + 0.318359f, 0.425781f, 0.810547f, 0.818359f, 0.820312f, 0.821777f, 0.821777f, 0.820801f, + 0.000000f, 0.000121f, 0.000120f, 0.000172f, 0.000195f, 0.000171f, 0.000208f, 0.000272f, + 0.000316f, 0.000333f, 0.000348f, 0.000355f, 0.000412f, 0.000410f, 0.000515f, 0.000485f, + 0.000545f, 0.000656f, 0.000777f, 0.000659f, 0.000705f, 0.000762f, 0.000874f, 0.000927f, + 0.000959f, 0.000978f, 0.001045f, 0.001228f, 0.001294f, 0.001398f, 0.001443f, 0.001637f, + 0.001752f, 0.001925f, 0.002005f, 0.002230f, 0.002407f, 0.002670f, 0.002895f, 0.003267f, + 0.003933f, 0.004280f, 0.005051f, 0.005772f, 0.006718f, 0.008141f, 0.010117f, 0.012383f, + 0.015930f, 0.020920f, 0.028671f, 0.039673f, 0.056702f, 0.083313f, 0.124695f, 0.185791f, + 0.270996f, 0.379639f, 0.793457f, 0.801270f, 0.803711f, 0.803711f, 0.804688f, 0.804688f, + 0.000000f, 0.000121f, 0.000119f, 0.000144f, 0.000149f, 0.000166f, 0.000173f, 0.000167f, + 0.000214f, 0.000245f, 0.000334f, 0.000287f, 0.000303f, 0.000391f, 0.000401f, 0.000440f, + 0.000469f, 0.000493f, 0.000534f, 0.000513f, 0.000690f, 0.000682f, 0.000645f, 0.000712f, + 0.000715f, 0.000747f, 0.000842f, 0.000849f, 0.000967f, 0.000995f, 0.001178f, 0.001167f, + 0.001273f, 0.001395f, 0.001586f, 0.001748f, 0.001796f, 0.001986f, 0.002132f, 0.002476f, + 0.002893f, 0.003294f, 0.003653f, 0.004086f, 0.004890f, 0.005821f, 0.006927f, 0.008553f, + 0.010857f, 0.014137f, 0.019211f, 0.027084f, 0.039642f, 0.059448f, 0.092468f, 0.144775f, + 0.224487f, 0.332764f, 0.775391f, 0.784668f, 0.786133f, 0.786133f, 0.787109f, 0.786621f, + 0.000000f, 0.000000f, 0.000118f, 0.000116f, 0.000115f, 0.000113f, 0.000140f, 0.000140f, + 0.000149f, 0.000220f, 0.000171f, 0.000255f, 0.000274f, 0.000292f, 0.000318f, 0.000295f, + 0.000346f, 0.000352f, 0.000380f, 0.000406f, 0.000401f, 0.000533f, 0.000490f, 0.000551f, + 0.000558f, 0.000648f, 0.000628f, 0.000723f, 0.000788f, 0.000749f, 0.000836f, 0.000941f, + 0.000997f, 0.001065f, 0.001112f, 0.001207f, 0.001328f, 0.001535f, 0.001621f, 0.001840f, + 0.002022f, 0.002163f, 0.002522f, 0.002825f, 0.003391f, 0.003830f, 0.004616f, 0.005665f, + 0.007172f, 0.009247f, 0.012482f, 0.017532f, 0.025970f, 0.040161f, 0.064941f, 0.107422f, + 0.178833f, 0.283447f, 0.754883f, 0.764648f, 0.766113f, 0.767090f, 0.767578f, 0.767090f, + 0.000000f, 0.000119f, 0.000116f, 0.000114f, 0.000112f, 0.000110f, 0.000109f, 0.000117f, + 0.000114f, 0.000117f, 0.000125f, 0.000193f, 0.000141f, 0.000196f, 0.000221f, 0.000235f, + 0.000259f, 0.000278f, 0.000308f, 0.000316f, 0.000323f, 0.000315f, 0.000329f, 0.000351f, + 0.000388f, 0.000422f, 0.000465f, 0.000512f, 0.000571f, 0.000568f, 0.000588f, 0.000633f, + 0.000747f, 0.000751f, 0.000829f, 0.000958f, 0.000914f, 0.001104f, 0.001145f, 0.001255f, + 0.001337f, 0.001499f, 0.001701f, 0.001966f, 0.002275f, 0.002609f, 0.003119f, 0.003773f, + 0.004658f, 0.005920f, 0.007935f, 0.010948f, 0.015900f, 0.025284f, 0.042511f, 0.075012f, + 0.135010f, 0.234619f, 0.733398f, 0.743164f, 0.744629f, 0.745117f, 0.745605f, 0.745605f, + 0.000000f, 0.000116f, 0.000113f, 0.000111f, 0.000108f, 0.000106f, 0.000104f, 0.000103f, + 0.000098f, 0.000092f, 0.000099f, 0.000085f, 0.000098f, 0.000105f, 0.000163f, 0.000162f, + 0.000128f, 0.000193f, 0.000203f, 0.000214f, 0.000284f, 0.000239f, 0.000303f, 0.000268f, + 0.000327f, 0.000326f, 0.000329f, 0.000330f, 0.000407f, 0.000486f, 0.000406f, 0.000454f, + 0.000465f, 0.000495f, 0.000535f, 0.000592f, 0.000648f, 0.000727f, 0.000753f, 0.000807f, + 0.000956f, 0.000992f, 0.001108f, 0.001294f, 0.001418f, 0.001703f, 0.001978f, 0.002390f, + 0.002930f, 0.003643f, 0.004753f, 0.006519f, 0.009499f, 0.014824f, 0.025497f, 0.048065f, + 0.095154f, 0.185425f, 0.709961f, 0.719727f, 0.721191f, 0.721191f, 0.721680f, 0.721680f, + 0.000000f, 0.000113f, 0.000107f, 0.000106f, 0.000102f, 0.000100f, 0.000097f, 0.000096f, + 0.000095f, 0.000092f, 0.000087f, 0.000083f, 0.000078f, 0.000098f, 0.000077f, 0.000091f, + 0.000114f, 0.000128f, 0.000114f, 0.000147f, 0.000154f, 0.000162f, 0.000186f, 0.000174f, + 0.000220f, 0.000233f, 0.000235f, 0.000245f, 0.000250f, 0.000253f, 0.000321f, 0.000296f, + 0.000311f, 0.000354f, 0.000417f, 0.000419f, 0.000438f, 0.000443f, 0.000495f, 0.000513f, + 0.000585f, 0.000634f, 0.000705f, 0.000778f, 0.000912f, 0.001002f, 0.001163f, 0.001379f, + 0.001745f, 0.002092f, 0.002697f, 0.003721f, 0.005230f, 0.008194f, 0.013870f, 0.027359f, + 0.061066f, 0.138062f, 0.685547f, 0.694336f, 0.696777f, 0.696289f, 0.697754f, 0.697754f, + 0.000000f, 0.000106f, 0.000102f, 0.000097f, 0.000093f, 0.000091f, 0.000089f, 0.000087f, + 0.000085f, 0.000084f, 0.000082f, 0.000080f, 0.000076f, 0.000072f, 0.000069f, 0.000074f, + 0.000076f, 0.000059f, 0.000075f, 0.000062f, 0.000085f, 0.000091f, 0.000103f, 0.000111f, + 0.000121f, 0.000135f, 0.000128f, 0.000159f, 0.000171f, 0.000160f, 0.000178f, 0.000193f, + 0.000196f, 0.000202f, 0.000220f, 0.000230f, 0.000273f, 0.000289f, 0.000312f, 0.000330f, + 0.000335f, 0.000397f, 0.000408f, 0.000463f, 0.000517f, 0.000577f, 0.000691f, 0.000771f, + 0.000919f, 0.001150f, 0.001436f, 0.001955f, 0.002737f, 0.004185f, 0.007103f, 0.013863f, + 0.033661f, 0.093628f, 0.657227f, 0.667480f, 0.668945f, 0.669434f, 0.670898f, 0.669922f, + 0.000108f, 0.000093f, 0.000087f, 0.000082f, 0.000079f, 0.000078f, 0.000075f, 0.000073f, + 0.000071f, 0.000070f, 0.000069f, 0.000069f, 0.000067f, 0.000066f, 0.000064f, 0.000061f, + 0.000059f, 0.000056f, 0.000053f, 0.000051f, 0.000053f, 0.000049f, 0.000044f, 0.000047f, + 0.000055f, 0.000058f, 0.000071f, 0.000077f, 0.000093f, 0.000094f, 0.000103f, 0.000102f, + 0.000110f, 0.000126f, 0.000130f, 0.000138f, 0.000143f, 0.000166f, 0.000166f, 0.000178f, + 0.000194f, 0.000217f, 0.000228f, 0.000231f, 0.000265f, 0.000330f, 0.000341f, 0.000411f, + 0.000459f, 0.000549f, 0.000705f, 0.000867f, 0.001228f, 0.001863f, 0.003143f, 0.006283f, + 0.015594f, 0.054993f, 0.628418f, 0.638184f, 0.640137f, 0.640137f, 0.641602f, 0.641602f, + 0.000071f, 0.000058f, 0.000059f, 0.000058f, 0.000054f, 0.000054f, 0.000051f, 0.000053f, + 0.000051f, 0.000052f, 0.000050f, 0.000050f, 0.000051f, 0.000050f, 0.000049f, 0.000049f, + 0.000049f, 0.000049f, 0.000047f, 0.000045f, 0.000043f, 0.000041f, 0.000039f, 0.000038f, + 0.000036f, 0.000034f, 0.000035f, 0.000037f, 0.000033f, 0.000034f, 0.000038f, 0.000047f, + 0.000054f, 0.000061f, 0.000064f, 0.000068f, 0.000069f, 0.000076f, 0.000083f, 0.000092f, + 0.000098f, 0.000103f, 0.000112f, 0.000129f, 0.000113f, 0.000139f, 0.000152f, 0.000185f, + 0.000204f, 0.000238f, 0.000282f, 0.000365f, 0.000503f, 0.000685f, 0.001178f, 0.002274f, + 0.006100f, 0.025162f, 0.597656f, 0.607910f, 0.610840f, 0.611816f, 0.610352f, 0.611328f, + 0.000000f, 0.000000f, 0.000004f, 0.000012f, 0.000014f, 0.000020f, 0.000022f, 0.000023f, + 0.000024f, 0.000022f, 0.000025f, 0.000027f, 0.000027f, 0.000026f, 0.000028f, 0.000029f, + 0.000029f, 0.000029f, 0.000030f, 0.000030f, 0.000030f, 0.000030f, 0.000030f, 0.000030f, + 0.000029f, 0.000028f, 0.000027f, 0.000026f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, + 0.000020f, 0.000019f, 0.000018f, 0.000019f, 0.000023f, 0.000024f, 0.000027f, 0.000032f, + 0.000038f, 0.000040f, 0.000041f, 0.000045f, 0.000054f, 0.000052f, 0.000055f, 0.000060f, + 0.000068f, 0.000089f, 0.000089f, 0.000115f, 0.000146f, 0.000198f, 0.000318f, 0.000586f, + 0.001614f, 0.008278f, 0.565918f, 0.576660f, 0.578125f, 0.579102f, 0.579590f, 0.580078f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, + 0.000003f, 0.000003f, 0.000005f, 0.000005f, 0.000006f, 0.000007f, 0.000009f, 0.000009f, + 0.000010f, 0.000011f, 0.000012f, 0.000012f, 0.000013f, 0.000014f, 0.000014f, 0.000015f, + 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, + 0.000009f, 0.000009f, 0.000008f, 0.000010f, 0.000013f, 0.000013f, 0.000013f, 0.000017f, + 0.000017f, 0.000022f, 0.000021f, 0.000023f, 0.000031f, 0.000032f, 0.000049f, 0.000079f, + 0.000204f, 0.001328f, 0.533203f, 0.543945f, 0.545410f, 0.546387f, 0.546875f, 0.546875f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, + 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, + 0.000004f, 0.000016f, 0.499756f, 0.510254f, 0.513184f, 0.513672f, 0.514160f, 0.514160f, + }, + { + 0.076172f, 0.209839f, 0.320312f, 0.408691f, 0.481689f, 0.541016f, 0.591309f, 0.633789f, + 0.668945f, 0.699707f, 0.727051f, 0.749512f, 0.770020f, 0.788086f, 0.803711f, 0.817871f, + 0.832520f, 0.843750f, 0.854492f, 0.864258f, 0.873535f, 0.881836f, 0.889160f, 0.895996f, + 0.903320f, 0.909180f, 0.914551f, 0.920410f, 0.925781f, 0.929199f, 0.933594f, 0.938965f, + 0.942383f, 0.946289f, 0.949219f, 0.953125f, 0.955566f, 0.959473f, 0.961914f, 0.964355f, + 0.967285f, 0.970215f, 0.971680f, 0.974609f, 0.976562f, 0.978516f, 0.980469f, 0.982422f, + 0.984375f, 0.986328f, 0.987793f, 0.989746f, 0.990723f, 0.992676f, 0.993652f, 0.995117f, + 0.996582f, 0.998047f, 0.999023f, 0.997559f, 0.996582f, 0.995605f, 0.994629f, 0.993652f, + 0.043396f, 0.133301f, 0.221313f, 0.303223f, 0.377441f, 0.442871f, 0.500000f, 0.550781f, + 0.595215f, 0.632812f, 0.666992f, 0.696777f, 0.723145f, 0.745605f, 0.765137f, 0.783691f, + 0.799805f, 0.815430f, 0.828613f, 0.839844f, 0.851562f, 0.861328f, 0.871582f, 0.879395f, + 0.887207f, 0.894531f, 0.901855f, 0.907227f, 0.914062f, 0.919434f, 0.924316f, 0.928711f, + 0.933594f, 0.937988f, 0.942383f, 0.945801f, 0.949219f, 0.953125f, 0.956055f, 0.959473f, + 0.962402f, 0.964355f, 0.967773f, 0.970215f, 0.972656f, 0.975098f, 0.977051f, 0.979492f, + 0.980957f, 0.983398f, 0.985352f, 0.986816f, 0.988281f, 0.990234f, 0.991699f, 0.993652f, + 0.995117f, 0.996094f, 0.998047f, 0.997070f, 0.996094f, 0.995117f, 0.994141f, 0.993164f, + 0.027832f, 0.088440f, 0.153198f, 0.221313f, 0.288086f, 0.352051f, 0.411621f, 0.466797f, + 0.515625f, 0.561523f, 0.601074f, 0.637207f, 0.667969f, 0.695312f, 0.721680f, 0.743652f, + 0.763184f, 0.781738f, 0.797852f, 0.812500f, 0.826172f, 0.838867f, 0.850098f, 0.859863f, + 0.869141f, 0.877930f, 0.886230f, 0.893555f, 0.900879f, 0.907227f, 0.912598f, 0.918457f, + 0.922852f, 0.928711f, 0.934082f, 0.938477f, 0.942383f, 0.946289f, 0.950195f, 0.953125f, + 0.956543f, 0.959961f, 0.962402f, 0.965820f, 0.968262f, 0.970703f, 0.973145f, 0.975586f, + 0.978027f, 0.979980f, 0.982422f, 0.984375f, 0.985840f, 0.987793f, 0.989746f, 0.991211f, + 0.993164f, 0.994141f, 0.997559f, 0.996582f, 0.995605f, 0.994629f, 0.993652f, 0.993164f, + 0.018921f, 0.061493f, 0.109497f, 0.161987f, 0.217041f, 0.273438f, 0.330811f, 0.384521f, + 0.437500f, 0.486084f, 0.530273f, 0.570312f, 0.607910f, 0.640137f, 0.670410f, 0.697266f, + 0.722656f, 0.743652f, 0.763672f, 0.781250f, 0.797363f, 0.812012f, 0.825684f, 0.837891f, + 0.848633f, 0.859863f, 0.869141f, 0.878418f, 0.886719f, 0.893066f, 0.900879f, 0.906738f, + 0.913574f, 0.919434f, 0.924316f, 0.930176f, 0.934082f, 0.939453f, 0.942871f, 0.946777f, + 0.950684f, 0.954590f, 0.958008f, 0.960449f, 0.963379f, 0.966797f, 0.969238f, 0.971680f, + 0.974121f, 0.977051f, 0.978516f, 0.980957f, 0.983398f, 0.985352f, 0.987305f, 0.989258f, + 0.991211f, 0.992676f, 0.996094f, 0.995605f, 0.994629f, 0.993652f, 0.993164f, 0.992188f, + 0.013596f, 0.044495f, 0.080017f, 0.119873f, 0.164307f, 0.211670f, 0.261475f, 0.311523f, + 0.362793f, 0.410645f, 0.458008f, 0.501953f, 0.542969f, 0.580078f, 0.614746f, 0.645996f, + 0.674805f, 0.701172f, 0.723633f, 0.745117f, 0.765625f, 0.782227f, 0.798828f, 0.812988f, + 0.826172f, 0.838867f, 0.849609f, 0.861328f, 0.870605f, 0.878906f, 0.887695f, 0.895020f, + 0.901855f, 0.907715f, 0.914551f, 0.920898f, 0.925781f, 0.930664f, 0.934570f, 0.940918f, + 0.943848f, 0.947754f, 0.951660f, 0.955566f, 0.958984f, 0.961914f, 0.964844f, 0.967773f, + 0.970703f, 0.973145f, 0.975586f, 0.978027f, 0.979980f, 0.982422f, 0.984863f, 0.986328f, + 0.988770f, 0.990234f, 0.995117f, 0.995117f, 0.994141f, 0.993652f, 0.992676f, 0.991699f, + 0.010414f, 0.033203f, 0.060364f, 0.090942f, 0.125610f, 0.163818f, 0.206421f, 0.250488f, + 0.295898f, 0.341797f, 0.388428f, 0.433350f, 0.475830f, 0.517090f, 0.555176f, 0.589844f, + 0.622559f, 0.652344f, 0.680176f, 0.704590f, 0.729004f, 0.748535f, 0.767578f, 0.784668f, + 0.800293f, 0.814941f, 0.828125f, 0.839844f, 0.852051f, 0.861816f, 0.871582f, 0.879883f, + 0.888672f, 0.895996f, 0.903320f, 0.909180f, 0.916016f, 0.921387f, 0.927246f, 0.931641f, + 0.937012f, 0.940918f, 0.946289f, 0.950195f, 0.953125f, 0.957520f, 0.960449f, 0.963867f, + 0.966309f, 0.969238f, 0.972168f, 0.975098f, 0.976562f, 0.979492f, 0.981934f, 0.983887f, + 0.985840f, 0.988281f, 0.994629f, 0.994141f, 0.993652f, 0.992676f, 0.991699f, 0.990723f, + 0.007889f, 0.025772f, 0.046539f, 0.070312f, 0.097168f, 0.128540f, 0.162354f, 0.200195f, + 0.239868f, 0.281738f, 0.325195f, 0.368896f, 0.411621f, 0.453125f, 0.493652f, 0.531738f, + 0.566406f, 0.601074f, 0.631836f, 0.659668f, 0.687988f, 0.709961f, 0.732422f, 0.753418f, + 0.770996f, 0.788086f, 0.804199f, 0.818359f, 0.831543f, 0.843750f, 0.854492f, 0.864746f, + 0.873535f, 0.882812f, 0.890137f, 0.898438f, 0.905273f, 0.912598f, 0.917969f, 0.923828f, + 0.929199f, 0.934570f, 0.938477f, 0.942871f, 0.948242f, 0.951660f, 0.955078f, 0.958496f, + 0.961914f, 0.965332f, 0.968262f, 0.971680f, 0.973633f, 0.976562f, 0.979492f, 0.981445f, + 0.983398f, 0.985352f, 0.993164f, 0.993164f, 0.992676f, 0.991699f, 0.991211f, 0.990234f, + 0.006332f, 0.020325f, 0.036438f, 0.055573f, 0.077026f, 0.101562f, 0.129028f, 0.160278f, + 0.194458f, 0.230347f, 0.268555f, 0.309326f, 0.350830f, 0.391846f, 0.432373f, 0.472412f, + 0.509277f, 0.545410f, 0.579102f, 0.611816f, 0.640625f, 0.668945f, 0.693848f, 0.716797f, + 0.739258f, 0.758789f, 0.775879f, 0.793945f, 0.807617f, 0.821777f, 0.834961f, 0.846680f, + 0.857422f, 0.867676f, 0.877441f, 0.885742f, 0.893555f, 0.900391f, 0.908203f, 0.915039f, + 0.920898f, 0.926270f, 0.931152f, 0.937012f, 0.940918f, 0.946289f, 0.949219f, 0.954102f, + 0.958008f, 0.960938f, 0.964355f, 0.967773f, 0.970703f, 0.973145f, 0.975586f, 0.978516f, + 0.981445f, 0.983398f, 0.992188f, 0.992188f, 0.991699f, 0.990723f, 0.990723f, 0.989746f, + 0.005226f, 0.016647f, 0.029556f, 0.044434f, 0.061523f, 0.081543f, 0.103760f, 0.129150f, + 0.157837f, 0.188477f, 0.221924f, 0.257812f, 0.295654f, 0.334473f, 0.374023f, 0.412842f, + 0.451904f, 0.489990f, 0.525391f, 0.560059f, 0.593262f, 0.623047f, 0.651855f, 0.678223f, + 0.702148f, 0.725098f, 0.745605f, 0.764160f, 0.781738f, 0.799316f, 0.812500f, 0.827148f, + 0.838867f, 0.851074f, 0.861328f, 0.871582f, 0.880371f, 0.889648f, 0.896973f, 0.904297f, + 0.911621f, 0.917480f, 0.923340f, 0.929688f, 0.934570f, 0.939941f, 0.943848f, 0.948242f, + 0.951660f, 0.957031f, 0.959473f, 0.963379f, 0.966797f, 0.969727f, 0.972656f, 0.976074f, + 0.979004f, 0.980957f, 0.991699f, 0.991211f, 0.990723f, 0.990234f, 0.989746f, 0.988770f, + 0.004108f, 0.013542f, 0.023819f, 0.036194f, 0.050262f, 0.066223f, 0.084717f, 0.104797f, + 0.128174f, 0.153809f, 0.182861f, 0.213989f, 0.247437f, 0.282471f, 0.319580f, 0.357422f, + 0.395508f, 0.433350f, 0.470947f, 0.506348f, 0.542480f, 0.575684f, 0.605957f, 0.635254f, + 0.662109f, 0.687988f, 0.711426f, 0.732910f, 0.753418f, 0.771973f, 0.789062f, 0.804688f, + 0.819336f, 0.831543f, 0.843750f, 0.855469f, 0.866211f, 0.875488f, 0.884766f, 0.893066f, + 0.901367f, 0.907715f, 0.914062f, 0.921387f, 0.927246f, 0.932129f, 0.937012f, 0.942383f, + 0.946777f, 0.951660f, 0.956055f, 0.959473f, 0.962891f, 0.966309f, 0.969238f, 0.972168f, + 0.975098f, 0.978027f, 0.989746f, 0.990234f, 0.990234f, 0.989258f, 0.989258f, 0.988281f, + 0.003597f, 0.011330f, 0.020065f, 0.029938f, 0.041412f, 0.054504f, 0.068970f, 0.086182f, + 0.105469f, 0.126709f, 0.151123f, 0.177612f, 0.206909f, 0.237915f, 0.271484f, 0.305664f, + 0.342529f, 0.378906f, 0.416748f, 0.453125f, 0.489502f, 0.524414f, 0.558105f, 0.589844f, + 0.619629f, 0.646973f, 0.673828f, 0.698242f, 0.721191f, 0.742676f, 0.761230f, 0.778809f, + 0.796387f, 0.810547f, 0.824707f, 0.837891f, 0.850098f, 0.861328f, 0.871094f, 0.881348f, + 0.889648f, 0.896973f, 0.904785f, 0.912109f, 0.919434f, 0.924316f, 0.931152f, 0.936523f, + 0.941895f, 0.946289f, 0.951172f, 0.955078f, 0.959473f, 0.962402f, 0.965820f, 0.969238f, + 0.972656f, 0.975586f, 0.988770f, 0.989258f, 0.989258f, 0.988770f, 0.987793f, 0.987305f, + 0.002836f, 0.009857f, 0.016693f, 0.025208f, 0.034668f, 0.045288f, 0.057617f, 0.071106f, + 0.087463f, 0.104858f, 0.125000f, 0.147461f, 0.172119f, 0.199829f, 0.229248f, 0.260742f, + 0.294434f, 0.329102f, 0.365479f, 0.400879f, 0.437012f, 0.472656f, 0.508301f, 0.541992f, + 0.574219f, 0.604980f, 0.634766f, 0.660645f, 0.686523f, 0.709473f, 0.731445f, 0.751953f, + 0.770996f, 0.789062f, 0.804199f, 0.817871f, 0.832520f, 0.844727f, 0.856445f, 0.867188f, + 0.876953f, 0.886719f, 0.895020f, 0.902832f, 0.909668f, 0.916504f, 0.923340f, 0.929688f, + 0.935547f, 0.939941f, 0.944824f, 0.949707f, 0.954102f, 0.958496f, 0.961914f, 0.965820f, + 0.969238f, 0.972656f, 0.987793f, 0.988281f, 0.988281f, 0.987793f, 0.986816f, 0.986328f, + 0.002541f, 0.008118f, 0.014244f, 0.021194f, 0.029480f, 0.037811f, 0.048584f, 0.060028f, + 0.073242f, 0.088196f, 0.104370f, 0.123047f, 0.144531f, 0.167114f, 0.193237f, 0.220947f, + 0.250977f, 0.282227f, 0.316162f, 0.351074f, 0.386719f, 0.422119f, 0.457520f, 0.492432f, + 0.526367f, 0.559082f, 0.590332f, 0.621094f, 0.648438f, 0.674316f, 0.698730f, 0.721191f, + 0.742188f, 0.762207f, 0.780762f, 0.797363f, 0.812500f, 0.826172f, 0.840332f, 0.852051f, + 0.863770f, 0.873535f, 0.883301f, 0.892090f, 0.900391f, 0.908203f, 0.915039f, 0.922363f, + 0.928711f, 0.933594f, 0.939453f, 0.944824f, 0.950195f, 0.953125f, 0.958008f, 0.962402f, + 0.965332f, 0.969238f, 0.986816f, 0.987305f, 0.986816f, 0.986328f, 0.985840f, 0.984863f, + 0.002115f, 0.007030f, 0.012138f, 0.017944f, 0.024521f, 0.032318f, 0.040955f, 0.050476f, + 0.061676f, 0.073914f, 0.087769f, 0.103271f, 0.121033f, 0.140747f, 0.162598f, 0.187256f, + 0.213379f, 0.242065f, 0.272705f, 0.305176f, 0.338623f, 0.373047f, 0.408691f, 0.443848f, + 0.478760f, 0.512695f, 0.545898f, 0.577637f, 0.607910f, 0.636719f, 0.663086f, 0.688965f, + 0.712402f, 0.734863f, 0.754395f, 0.774414f, 0.791016f, 0.806641f, 0.822266f, 0.835449f, + 0.848145f, 0.859863f, 0.870605f, 0.880371f, 0.890137f, 0.898438f, 0.906250f, 0.914551f, + 0.921387f, 0.926758f, 0.933594f, 0.938965f, 0.944336f, 0.949219f, 0.954102f, 0.958984f, + 0.961914f, 0.965820f, 0.985840f, 0.986328f, 0.985840f, 0.985352f, 0.985352f, 0.984375f, + 0.001999f, 0.006226f, 0.010384f, 0.015594f, 0.021027f, 0.027435f, 0.034637f, 0.042969f, + 0.052124f, 0.062469f, 0.074097f, 0.087646f, 0.102173f, 0.119141f, 0.137695f, 0.158203f, + 0.181396f, 0.206543f, 0.233643f, 0.263184f, 0.295166f, 0.327148f, 0.360596f, 0.395264f, + 0.430420f, 0.464600f, 0.499023f, 0.532227f, 0.564941f, 0.595703f, 0.625000f, 0.651855f, + 0.679199f, 0.703613f, 0.726074f, 0.747559f, 0.766602f, 0.784668f, 0.801758f, 0.816895f, + 0.831055f, 0.843750f, 0.856934f, 0.867188f, 0.878418f, 0.887207f, 0.896484f, 0.904785f, + 0.913086f, 0.919922f, 0.926270f, 0.932617f, 0.938477f, 0.944336f, 0.949707f, 0.953613f, + 0.958496f, 0.962891f, 0.983887f, 0.984863f, 0.984863f, 0.984375f, 0.983887f, 0.983398f, + 0.001891f, 0.004959f, 0.009300f, 0.013786f, 0.018433f, 0.023560f, 0.029892f, 0.037018f, + 0.044586f, 0.053284f, 0.062805f, 0.074341f, 0.086975f, 0.100586f, 0.116760f, 0.133789f, + 0.154175f, 0.176025f, 0.200317f, 0.226318f, 0.254395f, 0.284424f, 0.316650f, 0.349365f, + 0.383301f, 0.418213f, 0.452393f, 0.487061f, 0.520508f, 0.553223f, 0.584473f, 0.613770f, + 0.643066f, 0.668945f, 0.695312f, 0.718262f, 0.740234f, 0.761230f, 0.778809f, 0.797363f, + 0.812988f, 0.827148f, 0.840332f, 0.854004f, 0.865723f, 0.875977f, 0.886230f, 0.895020f, + 0.904297f, 0.912598f, 0.919922f, 0.926270f, 0.932617f, 0.938965f, 0.943359f, 0.949219f, + 0.955078f, 0.958984f, 0.982422f, 0.983887f, 0.983398f, 0.982910f, 0.982910f, 0.981934f, + 0.001368f, 0.004715f, 0.008041f, 0.011948f, 0.016235f, 0.020889f, 0.025848f, 0.031921f, + 0.038391f, 0.045563f, 0.054108f, 0.063477f, 0.074036f, 0.085815f, 0.099304f, 0.114563f, + 0.131104f, 0.150146f, 0.170654f, 0.193970f, 0.219360f, 0.246338f, 0.275146f, 0.306396f, + 0.338867f, 0.372559f, 0.406494f, 0.440918f, 0.474609f, 0.508789f, 0.541992f, 0.574219f, + 0.604492f, 0.634277f, 0.661133f, 0.687500f, 0.710938f, 0.733887f, 0.754883f, 0.774414f, + 0.792480f, 0.809570f, 0.824707f, 0.838379f, 0.852051f, 0.862793f, 0.874023f, 0.885254f, + 0.895020f, 0.903320f, 0.912109f, 0.919434f, 0.926758f, 0.932617f, 0.939941f, 0.945312f, + 0.951172f, 0.955078f, 0.980957f, 0.982910f, 0.982422f, 0.982422f, 0.981445f, 0.981445f, + 0.001393f, 0.004227f, 0.007011f, 0.010323f, 0.014107f, 0.018234f, 0.022766f, 0.027649f, + 0.032898f, 0.039581f, 0.046539f, 0.054230f, 0.063293f, 0.073608f, 0.085144f, 0.097961f, + 0.112305f, 0.127930f, 0.146362f, 0.166260f, 0.188599f, 0.212524f, 0.238647f, 0.266846f, + 0.297363f, 0.328369f, 0.361816f, 0.395752f, 0.429932f, 0.464844f, 0.498535f, 0.531250f, + 0.564453f, 0.596191f, 0.625488f, 0.653320f, 0.680176f, 0.704590f, 0.728027f, 0.750977f, + 0.770020f, 0.788574f, 0.805176f, 0.821289f, 0.835449f, 0.849609f, 0.862793f, 0.874023f, + 0.884277f, 0.894043f, 0.903320f, 0.911621f, 0.919434f, 0.926758f, 0.933594f, 0.939453f, + 0.945312f, 0.951172f, 0.979492f, 0.980957f, 0.980957f, 0.980957f, 0.980469f, 0.979980f, + 0.001163f, 0.003527f, 0.006229f, 0.009323f, 0.012199f, 0.015808f, 0.019928f, 0.024200f, + 0.028870f, 0.033997f, 0.040161f, 0.046967f, 0.054871f, 0.063477f, 0.073181f, 0.083618f, + 0.096252f, 0.109863f, 0.125122f, 0.142334f, 0.161743f, 0.182739f, 0.206421f, 0.232300f, + 0.259277f, 0.288086f, 0.320068f, 0.352783f, 0.386475f, 0.420410f, 0.454590f, 0.489258f, + 0.521973f, 0.555176f, 0.586914f, 0.617188f, 0.646484f, 0.673828f, 0.699707f, 0.723633f, + 0.746094f, 0.766113f, 0.785645f, 0.803223f, 0.819336f, 0.834961f, 0.848633f, 0.861328f, + 0.873535f, 0.884766f, 0.893555f, 0.903809f, 0.911621f, 0.920410f, 0.928223f, 0.934082f, + 0.939941f, 0.946777f, 0.978027f, 0.979492f, 0.979492f, 0.979004f, 0.979004f, 0.978516f, + 0.000981f, 0.002987f, 0.005329f, 0.008186f, 0.010895f, 0.013832f, 0.017532f, 0.021149f, + 0.025253f, 0.029999f, 0.035034f, 0.040985f, 0.047485f, 0.054993f, 0.063049f, 0.072510f, + 0.082581f, 0.094421f, 0.107727f, 0.122498f, 0.138794f, 0.157471f, 0.178467f, 0.200562f, + 0.225586f, 0.251953f, 0.281250f, 0.311279f, 0.343750f, 0.377197f, 0.411621f, 0.445557f, + 0.479736f, 0.513672f, 0.546875f, 0.579590f, 0.610352f, 0.640625f, 0.668457f, 0.694336f, + 0.718750f, 0.742188f, 0.762695f, 0.782715f, 0.801270f, 0.817871f, 0.833496f, 0.847168f, + 0.860840f, 0.872559f, 0.884277f, 0.894531f, 0.904297f, 0.912598f, 0.920898f, 0.928711f, + 0.935547f, 0.942383f, 0.976074f, 0.978027f, 0.978516f, 0.978027f, 0.977539f, 0.977051f, + 0.000880f, 0.002707f, 0.005089f, 0.007305f, 0.010147f, 0.012596f, 0.015160f, 0.018616f, + 0.022507f, 0.026230f, 0.030777f, 0.035767f, 0.041351f, 0.047455f, 0.054565f, 0.062256f, + 0.071289f, 0.081299f, 0.092346f, 0.105408f, 0.119812f, 0.135620f, 0.153320f, 0.173462f, + 0.195068f, 0.219482f, 0.245361f, 0.273682f, 0.303711f, 0.335938f, 0.368896f, 0.402588f, + 0.437500f, 0.472168f, 0.505859f, 0.539551f, 0.573242f, 0.604492f, 0.634766f, 0.663086f, + 0.689453f, 0.714844f, 0.738770f, 0.760254f, 0.780762f, 0.799316f, 0.817383f, 0.833496f, + 0.847168f, 0.860840f, 0.873535f, 0.884766f, 0.895508f, 0.905273f, 0.914062f, 0.922363f, + 0.930176f, 0.937012f, 0.974609f, 0.976074f, 0.976074f, 0.976562f, 0.976074f, 0.975586f, + 0.000851f, 0.002659f, 0.004692f, 0.006466f, 0.008545f, 0.011055f, 0.013649f, 0.016403f, + 0.019714f, 0.023056f, 0.026962f, 0.031235f, 0.035828f, 0.041656f, 0.047699f, 0.054077f, + 0.061859f, 0.070496f, 0.080200f, 0.091125f, 0.103088f, 0.116882f, 0.132446f, 0.149780f, + 0.168701f, 0.190430f, 0.213379f, 0.239258f, 0.267334f, 0.296631f, 0.328369f, 0.360840f, + 0.395020f, 0.429932f, 0.464355f, 0.499512f, 0.533203f, 0.566406f, 0.599121f, 0.629883f, + 0.658203f, 0.687012f, 0.712402f, 0.735840f, 0.758789f, 0.779297f, 0.798828f, 0.816406f, + 0.832520f, 0.847168f, 0.861328f, 0.874023f, 0.886230f, 0.896973f, 0.907227f, 0.915527f, + 0.924805f, 0.931641f, 0.972168f, 0.975586f, 0.975586f, 0.974609f, 0.974121f, 0.973633f, + 0.000762f, 0.002214f, 0.004040f, 0.005859f, 0.007790f, 0.009689f, 0.012161f, 0.014786f, + 0.017441f, 0.020493f, 0.023956f, 0.027618f, 0.031860f, 0.036255f, 0.041595f, 0.047394f, + 0.053894f, 0.061188f, 0.069214f, 0.078735f, 0.089050f, 0.101135f, 0.114441f, 0.129150f, + 0.145874f, 0.164673f, 0.185303f, 0.208862f, 0.233765f, 0.260742f, 0.290283f, 0.321045f, + 0.354248f, 0.388184f, 0.422607f, 0.457764f, 0.493652f, 0.526855f, 0.561523f, 0.594238f, + 0.625977f, 0.655273f, 0.683594f, 0.710449f, 0.734863f, 0.758301f, 0.779297f, 0.798828f, + 0.817383f, 0.833984f, 0.848145f, 0.862793f, 0.875488f, 0.887207f, 0.899414f, 0.908691f, + 0.917969f, 0.926270f, 0.970215f, 0.972656f, 0.974121f, 0.973145f, 0.972656f, 0.972168f, + 0.000732f, 0.001928f, 0.003513f, 0.005234f, 0.007042f, 0.008629f, 0.010620f, 0.012985f, + 0.015244f, 0.018158f, 0.020935f, 0.024475f, 0.027908f, 0.032013f, 0.036316f, 0.041290f, + 0.046661f, 0.053040f, 0.060089f, 0.068115f, 0.077087f, 0.087463f, 0.099121f, 0.111633f, + 0.126221f, 0.142578f, 0.160767f, 0.181396f, 0.203003f, 0.228149f, 0.255127f, 0.284180f, + 0.315186f, 0.347900f, 0.381836f, 0.416748f, 0.451904f, 0.487549f, 0.522949f, 0.556641f, + 0.590332f, 0.623047f, 0.652832f, 0.682129f, 0.708984f, 0.733887f, 0.757324f, 0.779785f, + 0.799316f, 0.818359f, 0.835449f, 0.850586f, 0.865234f, 0.877441f, 0.890137f, 0.901367f, + 0.912109f, 0.920410f, 0.968262f, 0.970703f, 0.971191f, 0.970703f, 0.971191f, 0.971191f, + 0.000524f, 0.001758f, 0.003185f, 0.004864f, 0.006081f, 0.007820f, 0.009705f, 0.011467f, + 0.013634f, 0.016068f, 0.018707f, 0.021378f, 0.024597f, 0.028030f, 0.032135f, 0.036224f, + 0.041016f, 0.046692f, 0.052399f, 0.059265f, 0.067505f, 0.076050f, 0.085510f, 0.096558f, + 0.109253f, 0.123657f, 0.138794f, 0.157227f, 0.176880f, 0.198730f, 0.223267f, 0.250000f, + 0.278809f, 0.309326f, 0.342041f, 0.375977f, 0.410889f, 0.447021f, 0.483154f, 0.518555f, + 0.554199f, 0.586914f, 0.620117f, 0.650879f, 0.681641f, 0.708496f, 0.734375f, 0.757324f, + 0.780762f, 0.801270f, 0.819336f, 0.837891f, 0.852539f, 0.867188f, 0.880371f, 0.893066f, + 0.903809f, 0.914551f, 0.966309f, 0.968750f, 0.969238f, 0.969727f, 0.968750f, 0.968750f, + 0.000503f, 0.001896f, 0.002653f, 0.004128f, 0.005627f, 0.007004f, 0.008797f, 0.010361f, + 0.012230f, 0.014175f, 0.016647f, 0.019348f, 0.021454f, 0.024872f, 0.028290f, 0.031830f, + 0.036163f, 0.040649f, 0.045715f, 0.051941f, 0.058319f, 0.065979f, 0.074402f, 0.083618f, + 0.094360f, 0.106812f, 0.120239f, 0.135742f, 0.153320f, 0.172974f, 0.194824f, 0.218506f, + 0.245117f, 0.273926f, 0.304688f, 0.336426f, 0.371094f, 0.406982f, 0.442627f, 0.479492f, + 0.514648f, 0.550781f, 0.584961f, 0.618652f, 0.650879f, 0.681152f, 0.709473f, 0.735352f, + 0.760742f, 0.782715f, 0.803711f, 0.821777f, 0.838867f, 0.855957f, 0.870605f, 0.884277f, + 0.895996f, 0.906738f, 0.964355f, 0.966309f, 0.967285f, 0.966797f, 0.966309f, 0.966309f, + 0.000636f, 0.001421f, 0.002768f, 0.003761f, 0.004944f, 0.006462f, 0.007889f, 0.009262f, + 0.010780f, 0.013000f, 0.014946f, 0.017029f, 0.019516f, 0.022049f, 0.024933f, 0.028091f, + 0.031616f, 0.035553f, 0.040161f, 0.045380f, 0.051239f, 0.057281f, 0.064270f, 0.072693f, + 0.081970f, 0.092468f, 0.104736f, 0.117859f, 0.132690f, 0.150391f, 0.169189f, 0.190796f, + 0.214233f, 0.240601f, 0.268555f, 0.299561f, 0.332520f, 0.367188f, 0.402344f, 0.438965f, + 0.476074f, 0.512695f, 0.549805f, 0.584473f, 0.619141f, 0.651367f, 0.681152f, 0.709961f, + 0.737305f, 0.762695f, 0.785156f, 0.806641f, 0.826172f, 0.843262f, 0.859375f, 0.874023f, + 0.888184f, 0.900391f, 0.961426f, 0.964355f, 0.965332f, 0.964844f, 0.964355f, 0.964844f, + 0.000295f, 0.001419f, 0.002342f, 0.003471f, 0.004539f, 0.005821f, 0.006882f, 0.008354f, + 0.010155f, 0.011574f, 0.013283f, 0.015129f, 0.017090f, 0.019333f, 0.022125f, 0.024643f, + 0.028122f, 0.031586f, 0.035522f, 0.039825f, 0.044586f, 0.050110f, 0.056091f, 0.063354f, + 0.071045f, 0.080078f, 0.090637f, 0.102112f, 0.115479f, 0.130127f, 0.147217f, 0.165649f, + 0.186768f, 0.210571f, 0.236694f, 0.265137f, 0.295654f, 0.328857f, 0.363770f, 0.399902f, + 0.436523f, 0.474365f, 0.511230f, 0.548828f, 0.584961f, 0.619141f, 0.652344f, 0.684082f, + 0.712891f, 0.741211f, 0.766113f, 0.789062f, 0.810547f, 0.830078f, 0.848633f, 0.864258f, + 0.879395f, 0.892578f, 0.958496f, 0.962402f, 0.962402f, 0.962402f, 0.961914f, 0.962402f, + 0.000464f, 0.001313f, 0.002159f, 0.003134f, 0.004463f, 0.005001f, 0.006466f, 0.007595f, + 0.008842f, 0.010277f, 0.011971f, 0.013550f, 0.015434f, 0.017242f, 0.019348f, 0.021805f, + 0.024734f, 0.027817f, 0.031174f, 0.034821f, 0.039124f, 0.043823f, 0.049164f, 0.055237f, + 0.062164f, 0.069336f, 0.078430f, 0.088501f, 0.099976f, 0.112854f, 0.127319f, 0.143555f, + 0.162354f, 0.183350f, 0.207031f, 0.233032f, 0.260986f, 0.291992f, 0.325195f, 0.361084f, + 0.397217f, 0.435059f, 0.473389f, 0.510742f, 0.549316f, 0.586426f, 0.620605f, 0.654785f, + 0.686523f, 0.716797f, 0.744629f, 0.769043f, 0.793945f, 0.815918f, 0.834961f, 0.852539f, + 0.869141f, 0.884277f, 0.955078f, 0.959473f, 0.959473f, 0.959473f, 0.959961f, 0.959961f, + 0.000541f, 0.001223f, 0.002172f, 0.002886f, 0.003679f, 0.004681f, 0.005512f, 0.006683f, + 0.008049f, 0.009346f, 0.010704f, 0.012024f, 0.013626f, 0.015213f, 0.017227f, 0.019516f, + 0.022079f, 0.024612f, 0.027313f, 0.030731f, 0.034180f, 0.038239f, 0.042969f, 0.048187f, + 0.053864f, 0.060516f, 0.068298f, 0.076843f, 0.086670f, 0.097473f, 0.110107f, 0.124268f, + 0.140869f, 0.159302f, 0.180420f, 0.203613f, 0.229614f, 0.258057f, 0.289062f, 0.323486f, + 0.358398f, 0.395996f, 0.434082f, 0.472900f, 0.511719f, 0.550293f, 0.587402f, 0.624023f, + 0.658203f, 0.690918f, 0.721191f, 0.749512f, 0.774902f, 0.799316f, 0.821289f, 0.840820f, + 0.859375f, 0.875488f, 0.952637f, 0.956543f, 0.957520f, 0.957520f, 0.957520f, 0.957031f, + 0.000252f, 0.001056f, 0.001923f, 0.002523f, 0.003414f, 0.003960f, 0.005146f, 0.006172f, + 0.007130f, 0.008179f, 0.009567f, 0.010735f, 0.012077f, 0.013878f, 0.015640f, 0.017456f, + 0.019638f, 0.021622f, 0.024170f, 0.026978f, 0.030121f, 0.033630f, 0.037445f, 0.042053f, + 0.047119f, 0.052826f, 0.059174f, 0.066711f, 0.075012f, 0.084473f, 0.095276f, 0.107727f, + 0.122070f, 0.138184f, 0.156250f, 0.177246f, 0.200928f, 0.226929f, 0.255371f, 0.286865f, + 0.321289f, 0.356934f, 0.395264f, 0.434326f, 0.473877f, 0.514160f, 0.553711f, 0.591797f, + 0.628418f, 0.663574f, 0.696777f, 0.728027f, 0.755859f, 0.782715f, 0.806152f, 0.829102f, + 0.847656f, 0.867188f, 0.949707f, 0.954102f, 0.954590f, 0.954590f, 0.954102f, 0.954590f, + 0.000365f, 0.000963f, 0.001581f, 0.002337f, 0.002996f, 0.003952f, 0.004608f, 0.005459f, + 0.006489f, 0.007351f, 0.008484f, 0.009544f, 0.011108f, 0.012413f, 0.013901f, 0.015388f, + 0.017181f, 0.019012f, 0.021439f, 0.023727f, 0.026520f, 0.029449f, 0.032898f, 0.036835f, + 0.041046f, 0.045868f, 0.051575f, 0.058075f, 0.064758f, 0.073120f, 0.082520f, 0.093079f, + 0.105652f, 0.119385f, 0.135620f, 0.153687f, 0.174683f, 0.198364f, 0.224365f, 0.253662f, + 0.285400f, 0.320557f, 0.357178f, 0.395752f, 0.435791f, 0.476318f, 0.516602f, 0.557129f, + 0.596191f, 0.633789f, 0.669434f, 0.703613f, 0.734375f, 0.763672f, 0.790039f, 0.812988f, + 0.836914f, 0.855957f, 0.946289f, 0.949707f, 0.951172f, 0.951172f, 0.951172f, 0.951172f, + 0.000404f, 0.001028f, 0.001410f, 0.002098f, 0.002657f, 0.003445f, 0.004391f, 0.005039f, + 0.005665f, 0.006569f, 0.007549f, 0.008614f, 0.009743f, 0.011108f, 0.012390f, 0.013611f, + 0.015396f, 0.017044f, 0.018921f, 0.020874f, 0.023453f, 0.025833f, 0.028809f, 0.032501f, + 0.036011f, 0.040161f, 0.044952f, 0.050018f, 0.056091f, 0.063477f, 0.071533f, 0.080200f, + 0.091064f, 0.103027f, 0.117065f, 0.133057f, 0.151489f, 0.171997f, 0.196045f, 0.222290f, + 0.251709f, 0.284424f, 0.319824f, 0.357422f, 0.397217f, 0.438232f, 0.479492f, 0.521484f, + 0.562500f, 0.602051f, 0.641113f, 0.677734f, 0.711914f, 0.743164f, 0.772461f, 0.799316f, + 0.822754f, 0.845215f, 0.942383f, 0.946777f, 0.947754f, 0.947754f, 0.948242f, 0.948242f, + 0.000406f, 0.000992f, 0.001447f, 0.001986f, 0.002499f, 0.003149f, 0.003769f, 0.004272f, + 0.005016f, 0.005981f, 0.006924f, 0.007675f, 0.008766f, 0.009727f, 0.010765f, 0.011986f, + 0.013588f, 0.014915f, 0.016724f, 0.018478f, 0.020508f, 0.022873f, 0.025497f, 0.028336f, + 0.031525f, 0.034882f, 0.038818f, 0.043243f, 0.048615f, 0.054626f, 0.061707f, 0.069214f, + 0.078430f, 0.089111f, 0.101013f, 0.115112f, 0.130859f, 0.148926f, 0.170166f, 0.193604f, + 0.220947f, 0.250732f, 0.283936f, 0.320068f, 0.358887f, 0.400391f, 0.442139f, 0.483887f, + 0.527344f, 0.569824f, 0.610352f, 0.649414f, 0.686523f, 0.722168f, 0.753906f, 0.782227f, + 0.809570f, 0.833496f, 0.938477f, 0.942871f, 0.944824f, 0.944336f, 0.943848f, 0.943848f, + 0.000235f, 0.000984f, 0.001204f, 0.001706f, 0.002239f, 0.002998f, 0.003462f, 0.004093f, + 0.004372f, 0.005371f, 0.006149f, 0.006962f, 0.007736f, 0.008766f, 0.009804f, 0.010780f, + 0.011887f, 0.013336f, 0.014618f, 0.016159f, 0.018158f, 0.020050f, 0.022232f, 0.024597f, + 0.027313f, 0.030334f, 0.033752f, 0.037872f, 0.042389f, 0.047516f, 0.053192f, 0.059937f, + 0.067749f, 0.076599f, 0.086975f, 0.098755f, 0.112610f, 0.128662f, 0.146973f, 0.168091f, + 0.192383f, 0.220215f, 0.250732f, 0.284668f, 0.322021f, 0.361572f, 0.403564f, 0.446777f, + 0.490723f, 0.534668f, 0.577637f, 0.619629f, 0.660156f, 0.697754f, 0.731934f, 0.764648f, + 0.794922f, 0.820312f, 0.934082f, 0.939453f, 0.939941f, 0.941406f, 0.940430f, 0.940918f, + 0.000237f, 0.000591f, 0.001098f, 0.001619f, 0.002241f, 0.002636f, 0.003176f, 0.003521f, + 0.004101f, 0.004631f, 0.005398f, 0.006378f, 0.007000f, 0.007767f, 0.008713f, 0.009758f, + 0.010475f, 0.011734f, 0.013016f, 0.014404f, 0.015762f, 0.017517f, 0.019440f, 0.021469f, + 0.023651f, 0.026199f, 0.029495f, 0.033112f, 0.036499f, 0.040955f, 0.045959f, 0.051849f, + 0.058197f, 0.065552f, 0.074585f, 0.085022f, 0.096680f, 0.110535f, 0.126709f, 0.145264f, + 0.166626f, 0.191406f, 0.219482f, 0.250488f, 0.286133f, 0.323975f, 0.365723f, 0.408447f, + 0.453125f, 0.498779f, 0.542969f, 0.588379f, 0.631836f, 0.671387f, 0.709473f, 0.745117f, + 0.777344f, 0.807617f, 0.930176f, 0.935059f, 0.936523f, 0.936523f, 0.936523f, 0.936035f, + 0.000242f, 0.000761f, 0.000943f, 0.001624f, 0.001858f, 0.002390f, 0.002638f, 0.003054f, + 0.003805f, 0.004559f, 0.005035f, 0.005493f, 0.006157f, 0.006878f, 0.007687f, 0.008530f, + 0.009178f, 0.010406f, 0.011406f, 0.012520f, 0.014053f, 0.015579f, 0.017105f, 0.018661f, + 0.020737f, 0.022903f, 0.025650f, 0.028259f, 0.031433f, 0.035065f, 0.039581f, 0.044342f, + 0.049988f, 0.056366f, 0.064026f, 0.072632f, 0.082825f, 0.094666f, 0.108582f, 0.124634f, + 0.143799f, 0.165405f, 0.190796f, 0.219360f, 0.251953f, 0.287842f, 0.328125f, 0.370605f, + 0.415283f, 0.461670f, 0.507812f, 0.555176f, 0.600586f, 0.645020f, 0.685547f, 0.724121f, + 0.759277f, 0.792969f, 0.924805f, 0.931152f, 0.931641f, 0.932129f, 0.932129f, 0.931641f, + 0.000240f, 0.000685f, 0.000955f, 0.001395f, 0.001768f, 0.002157f, 0.002533f, 0.002970f, + 0.003223f, 0.003813f, 0.004601f, 0.004993f, 0.005428f, 0.005981f, 0.006878f, 0.007484f, + 0.008110f, 0.009132f, 0.009964f, 0.011208f, 0.012138f, 0.013374f, 0.015099f, 0.016190f, + 0.018112f, 0.020187f, 0.022202f, 0.024780f, 0.027573f, 0.030411f, 0.034119f, 0.037964f, + 0.042755f, 0.048553f, 0.054474f, 0.061890f, 0.070984f, 0.080688f, 0.092590f, 0.106812f, + 0.123291f, 0.142456f, 0.164551f, 0.190430f, 0.220459f, 0.253418f, 0.291504f, 0.332520f, + 0.376709f, 0.423340f, 0.471436f, 0.520508f, 0.567383f, 0.614746f, 0.660156f, 0.702148f, + 0.741211f, 0.776367f, 0.920410f, 0.925293f, 0.926270f, 0.926758f, 0.927246f, 0.926758f, + 0.000244f, 0.000431f, 0.000799f, 0.001309f, 0.001587f, 0.001945f, 0.002317f, 0.002514f, + 0.003290f, 0.003548f, 0.004082f, 0.004349f, 0.004707f, 0.005348f, 0.006027f, 0.006565f, + 0.007141f, 0.008011f, 0.008850f, 0.009552f, 0.010757f, 0.011650f, 0.012794f, 0.014145f, + 0.015778f, 0.017303f, 0.019028f, 0.021088f, 0.023575f, 0.026169f, 0.029175f, 0.032562f, + 0.036713f, 0.041382f, 0.046448f, 0.052948f, 0.060303f, 0.068787f, 0.079041f, 0.090942f, + 0.105103f, 0.121643f, 0.141113f, 0.164185f, 0.190308f, 0.221191f, 0.256836f, 0.295898f, + 0.339355f, 0.385010f, 0.433838f, 0.484619f, 0.534668f, 0.583496f, 0.631348f, 0.678223f, + 0.719727f, 0.759766f, 0.913574f, 0.920410f, 0.921387f, 0.921875f, 0.921875f, 0.921387f, + 0.000243f, 0.000496f, 0.000847f, 0.001157f, 0.001426f, 0.001634f, 0.002020f, 0.002338f, + 0.002607f, 0.003035f, 0.003502f, 0.003872f, 0.004459f, 0.004726f, 0.005402f, 0.005779f, + 0.006325f, 0.007095f, 0.007767f, 0.008568f, 0.009331f, 0.010086f, 0.011009f, 0.012314f, + 0.013611f, 0.015060f, 0.016312f, 0.018158f, 0.020401f, 0.022476f, 0.024979f, 0.027863f, + 0.031036f, 0.034943f, 0.039581f, 0.044830f, 0.050903f, 0.058289f, 0.066895f, 0.076782f, + 0.088989f, 0.103210f, 0.120422f, 0.140259f, 0.164185f, 0.191772f, 0.223877f, 0.260742f, + 0.301758f, 0.347168f, 0.395508f, 0.446533f, 0.497803f, 0.551270f, 0.601562f, 0.651855f, + 0.697754f, 0.741211f, 0.908203f, 0.915039f, 0.916016f, 0.916016f, 0.916504f, 0.915527f, + 0.000239f, 0.000345f, 0.000690f, 0.000913f, 0.001250f, 0.001343f, 0.001579f, 0.002050f, + 0.002331f, 0.002861f, 0.003048f, 0.003616f, 0.003696f, 0.004211f, 0.004723f, 0.005074f, + 0.005657f, 0.006100f, 0.006893f, 0.007290f, 0.008118f, 0.008659f, 0.009552f, 0.010704f, + 0.011681f, 0.012764f, 0.014114f, 0.015533f, 0.017227f, 0.018982f, 0.021286f, 0.023560f, + 0.026489f, 0.029861f, 0.033417f, 0.037933f, 0.043121f, 0.049286f, 0.056519f, 0.065002f, + 0.075073f, 0.087158f, 0.101624f, 0.118835f, 0.139648f, 0.164185f, 0.193481f, 0.226929f, + 0.265625f, 0.309570f, 0.356934f, 0.408203f, 0.461426f, 0.516113f, 0.569824f, 0.623047f, + 0.674316f, 0.720703f, 0.902344f, 0.908203f, 0.909668f, 0.910645f, 0.910645f, 0.911133f, + 0.000000f, 0.000281f, 0.000560f, 0.000977f, 0.001063f, 0.001171f, 0.001569f, 0.001903f, + 0.002075f, 0.002413f, 0.002695f, 0.003004f, 0.003399f, 0.003553f, 0.003998f, 0.004333f, + 0.004971f, 0.005314f, 0.005806f, 0.006340f, 0.007015f, 0.007492f, 0.008377f, 0.009186f, + 0.010094f, 0.010910f, 0.012199f, 0.013351f, 0.014618f, 0.016266f, 0.018082f, 0.019852f, + 0.022491f, 0.025085f, 0.028168f, 0.031799f, 0.036041f, 0.041107f, 0.047394f, 0.054321f, + 0.062866f, 0.073181f, 0.085327f, 0.100525f, 0.118408f, 0.139648f, 0.165527f, 0.196411f, + 0.231812f, 0.273193f, 0.318848f, 0.369629f, 0.423828f, 0.480225f, 0.536621f, 0.592773f, + 0.647949f, 0.699707f, 0.894043f, 0.900879f, 0.903809f, 0.903320f, 0.903320f, 0.902832f, + 0.000232f, 0.000227f, 0.000555f, 0.000656f, 0.000937f, 0.000985f, 0.001351f, 0.001723f, + 0.001925f, 0.002010f, 0.002445f, 0.002625f, 0.002760f, 0.003220f, 0.003551f, 0.003870f, + 0.004303f, 0.004826f, 0.005028f, 0.005451f, 0.005985f, 0.006523f, 0.007000f, 0.007744f, + 0.008499f, 0.009361f, 0.010109f, 0.011185f, 0.012413f, 0.013603f, 0.015121f, 0.016891f, + 0.018753f, 0.020920f, 0.023407f, 0.026764f, 0.030197f, 0.034302f, 0.039429f, 0.044891f, + 0.052368f, 0.060822f, 0.071167f, 0.083557f, 0.098877f, 0.117493f, 0.139893f, 0.167725f, + 0.200195f, 0.238037f, 0.281982f, 0.331543f, 0.385010f, 0.442627f, 0.501465f, 0.561523f, + 0.620605f, 0.675781f, 0.887207f, 0.894531f, 0.895020f, 0.896484f, 0.896484f, 0.895996f, + 0.000000f, 0.000332f, 0.000577f, 0.000723f, 0.000720f, 0.001210f, 0.001469f, 0.001456f, + 0.001546f, 0.001775f, 0.002159f, 0.002291f, 0.002659f, 0.002916f, 0.003046f, 0.003439f, + 0.003752f, 0.003883f, 0.004375f, 0.004635f, 0.005241f, 0.005638f, 0.006054f, 0.006630f, + 0.007191f, 0.007744f, 0.008545f, 0.009178f, 0.010498f, 0.011536f, 0.012802f, 0.013931f, + 0.015808f, 0.017548f, 0.019379f, 0.022110f, 0.025040f, 0.028473f, 0.032471f, 0.037323f, + 0.043152f, 0.050476f, 0.058807f, 0.069214f, 0.082520f, 0.098145f, 0.116821f, 0.141602f, + 0.170044f, 0.204834f, 0.245728f, 0.293213f, 0.346436f, 0.403564f, 0.464111f, 0.527832f, + 0.589844f, 0.650879f, 0.878418f, 0.886719f, 0.888184f, 0.887695f, 0.888672f, 0.888672f, + 0.000243f, 0.000307f, 0.000526f, 0.000561f, 0.000923f, 0.000980f, 0.001143f, 0.001386f, + 0.001414f, 0.001683f, 0.001735f, 0.001972f, 0.002232f, 0.002481f, 0.002657f, 0.002754f, + 0.003193f, 0.003359f, 0.003603f, 0.003956f, 0.004368f, 0.004692f, 0.005119f, 0.005596f, + 0.005955f, 0.006634f, 0.007256f, 0.007881f, 0.008652f, 0.009552f, 0.010376f, 0.011719f, + 0.012634f, 0.014595f, 0.016113f, 0.018219f, 0.020554f, 0.023254f, 0.026520f, 0.030502f, + 0.035553f, 0.041168f, 0.048065f, 0.057190f, 0.067261f, 0.080811f, 0.097107f, 0.117737f, + 0.143066f, 0.173950f, 0.211182f, 0.256592f, 0.307129f, 0.364502f, 0.427002f, 0.491943f, + 0.557617f, 0.624023f, 0.869629f, 0.877930f, 0.879883f, 0.879883f, 0.879883f, 0.880371f, + 0.000000f, 0.000270f, 0.000342f, 0.000509f, 0.000668f, 0.000989f, 0.000945f, 0.001105f, + 0.001230f, 0.001335f, 0.001492f, 0.001757f, 0.001917f, 0.002140f, 0.002386f, 0.002501f, + 0.002644f, 0.002884f, 0.003199f, 0.003441f, 0.003620f, 0.003891f, 0.004337f, 0.004631f, + 0.005119f, 0.005520f, 0.006100f, 0.006504f, 0.007301f, 0.007771f, 0.008751f, 0.009521f, + 0.010658f, 0.011765f, 0.013145f, 0.014641f, 0.016785f, 0.018829f, 0.021545f, 0.024719f, + 0.028381f, 0.033203f, 0.038849f, 0.046112f, 0.055084f, 0.065552f, 0.079529f, 0.096985f, + 0.118530f, 0.145630f, 0.179321f, 0.220337f, 0.269287f, 0.325439f, 0.387207f, 0.454102f, + 0.524414f, 0.595215f, 0.859863f, 0.868652f, 0.870605f, 0.869629f, 0.870117f, 0.870605f, + 0.000000f, 0.000230f, 0.000334f, 0.000416f, 0.000700f, 0.000726f, 0.000921f, 0.001008f, + 0.001065f, 0.001186f, 0.001365f, 0.001471f, 0.001627f, 0.001796f, 0.001843f, 0.002069f, + 0.002266f, 0.002438f, 0.002596f, 0.002831f, 0.003000f, 0.003298f, 0.003597f, 0.003887f, + 0.004265f, 0.004581f, 0.004986f, 0.005505f, 0.005947f, 0.006454f, 0.007069f, 0.007801f, + 0.008621f, 0.009575f, 0.010612f, 0.011848f, 0.013321f, 0.015259f, 0.017410f, 0.019775f, + 0.022934f, 0.026550f, 0.031464f, 0.036713f, 0.043945f, 0.052887f, 0.064209f, 0.078735f, + 0.096924f, 0.120361f, 0.149536f, 0.186768f, 0.232422f, 0.285889f, 0.347656f, 0.415527f, + 0.488281f, 0.563965f, 0.849121f, 0.857910f, 0.859375f, 0.860840f, 0.860840f, 0.860352f, + 0.000233f, 0.000225f, 0.000219f, 0.000431f, 0.000579f, 0.000648f, 0.000671f, 0.000744f, + 0.000946f, 0.000994f, 0.001091f, 0.001307f, 0.001364f, 0.001490f, 0.001561f, 0.001712f, + 0.001892f, 0.001999f, 0.002190f, 0.002369f, 0.002512f, 0.002733f, 0.003014f, 0.003145f, + 0.003553f, 0.003822f, 0.004135f, 0.004326f, 0.004799f, 0.005344f, 0.005718f, 0.006378f, + 0.007008f, 0.007721f, 0.008400f, 0.009537f, 0.010597f, 0.011917f, 0.013542f, 0.015579f, + 0.018051f, 0.020889f, 0.024765f, 0.029236f, 0.034668f, 0.041779f, 0.051056f, 0.062439f, + 0.077576f, 0.097595f, 0.122864f, 0.155273f, 0.196655f, 0.247437f, 0.307617f, 0.375977f, + 0.450684f, 0.531250f, 0.837891f, 0.847168f, 0.848633f, 0.849609f, 0.849121f, 0.849609f, + 0.000202f, 0.000180f, 0.000206f, 0.000339f, 0.000479f, 0.000536f, 0.000687f, 0.000739f, + 0.000771f, 0.000849f, 0.001051f, 0.001060f, 0.001154f, 0.001219f, 0.001389f, 0.001505f, + 0.001469f, 0.001729f, 0.001858f, 0.001980f, 0.002209f, 0.002243f, 0.002483f, 0.002695f, + 0.002951f, 0.003149f, 0.003374f, 0.003654f, 0.004002f, 0.004154f, 0.004539f, 0.005032f, + 0.005428f, 0.005989f, 0.006760f, 0.007549f, 0.008423f, 0.009499f, 0.010620f, 0.012016f, + 0.013992f, 0.016434f, 0.019135f, 0.022583f, 0.026840f, 0.032501f, 0.039551f, 0.048828f, + 0.061066f, 0.077393f, 0.098755f, 0.127075f, 0.163208f, 0.209717f, 0.267578f, 0.334961f, + 0.411133f, 0.494629f, 0.825684f, 0.834473f, 0.836426f, 0.837402f, 0.837402f, 0.837402f, + 0.000000f, 0.000185f, 0.000184f, 0.000404f, 0.000408f, 0.000454f, 0.000480f, 0.000506f, + 0.000660f, 0.000694f, 0.000742f, 0.000801f, 0.000989f, 0.001111f, 0.001167f, 0.001250f, + 0.001311f, 0.001424f, 0.001541f, 0.001574f, 0.001712f, 0.001930f, 0.001982f, 0.002201f, + 0.002375f, 0.002439f, 0.002792f, 0.002905f, 0.003065f, 0.003412f, 0.003653f, 0.003952f, + 0.004463f, 0.004723f, 0.005230f, 0.005936f, 0.006386f, 0.007092f, 0.008240f, 0.009247f, + 0.010765f, 0.012344f, 0.014420f, 0.017090f, 0.020493f, 0.024551f, 0.030014f, 0.037689f, + 0.047302f, 0.060028f, 0.077820f, 0.100830f, 0.132812f, 0.174561f, 0.228516f, 0.294434f, + 0.371582f, 0.457031f, 0.812012f, 0.820801f, 0.823730f, 0.824219f, 0.824707f, 0.824219f, + 0.000000f, 0.000053f, 0.000206f, 0.000360f, 0.000379f, 0.000391f, 0.000379f, 0.000478f, + 0.000549f, 0.000589f, 0.000626f, 0.000674f, 0.000762f, 0.000832f, 0.000894f, 0.001050f, + 0.001111f, 0.001155f, 0.001286f, 0.001345f, 0.001449f, 0.001564f, 0.001666f, 0.001750f, + 0.001856f, 0.001925f, 0.002056f, 0.002359f, 0.002542f, 0.002728f, 0.003042f, 0.003164f, + 0.003460f, 0.003786f, 0.004116f, 0.004578f, 0.005116f, 0.005688f, 0.006508f, 0.007229f, + 0.008125f, 0.009232f, 0.010796f, 0.012741f, 0.015137f, 0.018158f, 0.022186f, 0.028030f, + 0.035248f, 0.045593f, 0.059052f, 0.078308f, 0.105042f, 0.141602f, 0.190308f, 0.252930f, + 0.329102f, 0.417969f, 0.797852f, 0.807129f, 0.810059f, 0.810547f, 0.811035f, 0.810547f, + 0.000000f, 0.000000f, 0.000082f, 0.000195f, 0.000309f, 0.000336f, 0.000324f, 0.000414f, + 0.000439f, 0.000460f, 0.000599f, 0.000643f, 0.000637f, 0.000690f, 0.000733f, 0.000834f, + 0.000821f, 0.000922f, 0.000989f, 0.001067f, 0.001207f, 0.001293f, 0.001327f, 0.001476f, + 0.001581f, 0.001663f, 0.001725f, 0.001906f, 0.001934f, 0.002180f, 0.002258f, 0.002602f, + 0.002701f, 0.003019f, 0.003229f, 0.003502f, 0.003847f, 0.004261f, 0.004795f, 0.005318f, + 0.006130f, 0.007008f, 0.008118f, 0.009277f, 0.011024f, 0.013229f, 0.016205f, 0.020203f, + 0.025620f, 0.033020f, 0.043854f, 0.059021f, 0.080383f, 0.111206f, 0.154419f, 0.212646f, + 0.287354f, 0.378418f, 0.781250f, 0.792480f, 0.793457f, 0.795410f, 0.795898f, 0.794922f, + 0.000000f, 0.000121f, 0.000120f, 0.000198f, 0.000275f, 0.000249f, 0.000290f, 0.000360f, + 0.000375f, 0.000379f, 0.000391f, 0.000438f, 0.000505f, 0.000534f, 0.000669f, 0.000629f, + 0.000659f, 0.000754f, 0.000890f, 0.000833f, 0.000849f, 0.000975f, 0.001029f, 0.001117f, + 0.001193f, 0.001203f, 0.001269f, 0.001424f, 0.001594f, 0.001675f, 0.001737f, 0.001957f, + 0.002094f, 0.002319f, 0.002342f, 0.002609f, 0.002928f, 0.003248f, 0.003523f, 0.003967f, + 0.004547f, 0.005138f, 0.005871f, 0.006760f, 0.007912f, 0.009430f, 0.011528f, 0.014236f, + 0.017899f, 0.023346f, 0.031235f, 0.042694f, 0.059235f, 0.084229f, 0.120972f, 0.173950f, + 0.245239f, 0.334473f, 0.764160f, 0.775391f, 0.777344f, 0.778809f, 0.777832f, 0.778809f, + 0.000000f, 0.000121f, 0.000119f, 0.000182f, 0.000177f, 0.000179f, 0.000262f, 0.000239f, + 0.000309f, 0.000322f, 0.000404f, 0.000370f, 0.000361f, 0.000430f, 0.000458f, 0.000540f, + 0.000589f, 0.000615f, 0.000648f, 0.000632f, 0.000777f, 0.000782f, 0.000798f, 0.000871f, + 0.000857f, 0.000925f, 0.001000f, 0.001045f, 0.001191f, 0.001223f, 0.001426f, 0.001419f, + 0.001512f, 0.001635f, 0.001884f, 0.002092f, 0.002100f, 0.002293f, 0.002577f, 0.003012f, + 0.003258f, 0.003761f, 0.004253f, 0.004814f, 0.005619f, 0.006676f, 0.008064f, 0.009750f, + 0.012268f, 0.015854f, 0.021255f, 0.029282f, 0.041687f, 0.061005f, 0.091370f, 0.136230f, + 0.202759f, 0.291504f, 0.746582f, 0.757324f, 0.759277f, 0.760254f, 0.760254f, 0.760254f, + 0.000000f, 0.000000f, 0.000117f, 0.000126f, 0.000113f, 0.000146f, 0.000158f, 0.000155f, + 0.000189f, 0.000288f, 0.000254f, 0.000336f, 0.000347f, 0.000353f, 0.000370f, 0.000355f, + 0.000390f, 0.000417f, 0.000456f, 0.000480f, 0.000525f, 0.000587f, 0.000596f, 0.000620f, + 0.000676f, 0.000740f, 0.000758f, 0.000852f, 0.000907f, 0.000947f, 0.001057f, 0.001122f, + 0.001170f, 0.001293f, 0.001316f, 0.001437f, 0.001531f, 0.001813f, 0.001952f, 0.002090f, + 0.002346f, 0.002560f, 0.002974f, 0.003334f, 0.003899f, 0.004547f, 0.005360f, 0.006516f, + 0.008179f, 0.010468f, 0.013947f, 0.019241f, 0.027832f, 0.041443f, 0.064941f, 0.102600f, + 0.162231f, 0.247437f, 0.726074f, 0.737793f, 0.739258f, 0.740723f, 0.741211f, 0.741211f, + 0.000000f, 0.000118f, 0.000115f, 0.000113f, 0.000110f, 0.000126f, 0.000121f, 0.000139f, + 0.000147f, 0.000160f, 0.000161f, 0.000233f, 0.000199f, 0.000266f, 0.000286f, 0.000297f, + 0.000329f, 0.000313f, 0.000347f, 0.000358f, 0.000364f, 0.000394f, 0.000435f, 0.000446f, + 0.000489f, 0.000506f, 0.000546f, 0.000625f, 0.000648f, 0.000674f, 0.000723f, 0.000782f, + 0.000865f, 0.000918f, 0.000979f, 0.001104f, 0.001100f, 0.001196f, 0.001352f, 0.001488f, + 0.001586f, 0.001749f, 0.001955f, 0.002275f, 0.002644f, 0.003054f, 0.003563f, 0.004322f, + 0.005314f, 0.006786f, 0.008980f, 0.012115f, 0.017319f, 0.026520f, 0.043121f, 0.072693f, + 0.123535f, 0.203613f, 0.705566f, 0.716797f, 0.719238f, 0.719727f, 0.720703f, 0.721191f, + 0.000000f, 0.000000f, 0.000112f, 0.000109f, 0.000106f, 0.000104f, 0.000102f, 0.000096f, + 0.000091f, 0.000113f, 0.000147f, 0.000129f, 0.000155f, 0.000134f, 0.000196f, 0.000205f, + 0.000181f, 0.000239f, 0.000297f, 0.000255f, 0.000317f, 0.000273f, 0.000335f, 0.000299f, + 0.000379f, 0.000385f, 0.000398f, 0.000402f, 0.000473f, 0.000552f, 0.000489f, 0.000543f, + 0.000557f, 0.000606f, 0.000662f, 0.000698f, 0.000747f, 0.000810f, 0.000902f, 0.000961f, + 0.001063f, 0.001166f, 0.001312f, 0.001523f, 0.001662f, 0.001908f, 0.002298f, 0.002758f, + 0.003365f, 0.004135f, 0.005394f, 0.007290f, 0.010490f, 0.015991f, 0.026215f, 0.047180f, + 0.087646f, 0.160645f, 0.682617f, 0.695801f, 0.697266f, 0.697266f, 0.697266f, 0.698730f, + 0.000000f, 0.000112f, 0.000106f, 0.000104f, 0.000100f, 0.000098f, 0.000095f, 0.000094f, + 0.000090f, 0.000085f, 0.000080f, 0.000081f, 0.000085f, 0.000123f, 0.000123f, 0.000138f, + 0.000151f, 0.000158f, 0.000147f, 0.000171f, 0.000183f, 0.000192f, 0.000242f, 0.000215f, + 0.000253f, 0.000256f, 0.000269f, 0.000278f, 0.000293f, 0.000315f, 0.000377f, 0.000357f, + 0.000357f, 0.000423f, 0.000479f, 0.000493f, 0.000489f, 0.000535f, 0.000579f, 0.000628f, + 0.000683f, 0.000731f, 0.000833f, 0.000935f, 0.001068f, 0.001200f, 0.001347f, 0.001581f, + 0.001995f, 0.002419f, 0.003109f, 0.004147f, 0.005829f, 0.008919f, 0.014641f, 0.027405f, + 0.056885f, 0.119385f, 0.658691f, 0.669922f, 0.673828f, 0.673828f, 0.675293f, 0.675293f, + 0.000000f, 0.000105f, 0.000101f, 0.000096f, 0.000092f, 0.000089f, 0.000087f, 0.000085f, + 0.000083f, 0.000081f, 0.000077f, 0.000073f, 0.000070f, 0.000066f, 0.000080f, 0.000084f, + 0.000089f, 0.000068f, 0.000101f, 0.000094f, 0.000116f, 0.000118f, 0.000125f, 0.000129f, + 0.000150f, 0.000168f, 0.000153f, 0.000192f, 0.000195f, 0.000185f, 0.000200f, 0.000217f, + 0.000226f, 0.000247f, 0.000257f, 0.000262f, 0.000319f, 0.000334f, 0.000347f, 0.000376f, + 0.000395f, 0.000447f, 0.000504f, 0.000544f, 0.000590f, 0.000670f, 0.000789f, 0.000887f, + 0.001069f, 0.001345f, 0.001670f, 0.002167f, 0.003065f, 0.004562f, 0.007660f, 0.014290f, + 0.032135f, 0.081299f, 0.632812f, 0.645996f, 0.648926f, 0.649414f, 0.648926f, 0.649902f, + 0.000109f, 0.000094f, 0.000087f, 0.000082f, 0.000078f, 0.000076f, 0.000074f, 0.000071f, + 0.000069f, 0.000068f, 0.000067f, 0.000066f, 0.000064f, 0.000061f, 0.000058f, 0.000055f, + 0.000053f, 0.000050f, 0.000051f, 0.000046f, 0.000059f, 0.000056f, 0.000057f, 0.000068f, + 0.000078f, 0.000088f, 0.000096f, 0.000096f, 0.000105f, 0.000107f, 0.000128f, 0.000121f, + 0.000133f, 0.000141f, 0.000156f, 0.000151f, 0.000160f, 0.000200f, 0.000209f, 0.000198f, + 0.000222f, 0.000242f, 0.000258f, 0.000275f, 0.000314f, 0.000352f, 0.000410f, 0.000468f, + 0.000537f, 0.000639f, 0.000799f, 0.001002f, 0.001390f, 0.002092f, 0.003466f, 0.006653f, + 0.015305f, 0.048004f, 0.606934f, 0.618652f, 0.622559f, 0.623047f, 0.623535f, 0.624023f, + 0.000084f, 0.000067f, 0.000064f, 0.000062f, 0.000057f, 0.000056f, 0.000053f, 0.000054f, + 0.000051f, 0.000052f, 0.000050f, 0.000050f, 0.000050f, 0.000049f, 0.000048f, 0.000047f, + 0.000046f, 0.000044f, 0.000042f, 0.000040f, 0.000039f, 0.000037f, 0.000035f, 0.000036f, + 0.000037f, 0.000031f, 0.000040f, 0.000041f, 0.000042f, 0.000051f, 0.000058f, 0.000063f, + 0.000067f, 0.000069f, 0.000072f, 0.000079f, 0.000085f, 0.000092f, 0.000093f, 0.000101f, + 0.000107f, 0.000123f, 0.000125f, 0.000139f, 0.000147f, 0.000154f, 0.000181f, 0.000204f, + 0.000229f, 0.000270f, 0.000327f, 0.000425f, 0.000559f, 0.000772f, 0.001265f, 0.002462f, + 0.006191f, 0.022415f, 0.578613f, 0.592285f, 0.595215f, 0.596191f, 0.596191f, 0.597656f, + 0.000008f, 0.000022f, 0.000022f, 0.000024f, 0.000024f, 0.000027f, 0.000028f, 0.000028f, + 0.000028f, 0.000026f, 0.000028f, 0.000029f, 0.000029f, 0.000028f, 0.000029f, 0.000029f, + 0.000029f, 0.000029f, 0.000030f, 0.000030f, 0.000030f, 0.000029f, 0.000028f, 0.000027f, + 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, + 0.000021f, 0.000020f, 0.000022f, 0.000026f, 0.000028f, 0.000033f, 0.000037f, 0.000036f, + 0.000039f, 0.000045f, 0.000051f, 0.000046f, 0.000056f, 0.000059f, 0.000061f, 0.000071f, + 0.000084f, 0.000098f, 0.000110f, 0.000133f, 0.000169f, 0.000223f, 0.000356f, 0.000648f, + 0.001702f, 0.007713f, 0.550293f, 0.564453f, 0.566895f, 0.567871f, 0.568359f, 0.568848f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000002f, 0.000003f, 0.000004f, 0.000006f, + 0.000007f, 0.000007f, 0.000008f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000011f, + 0.000012f, 0.000012f, 0.000013f, 0.000013f, 0.000013f, 0.000014f, 0.000014f, 0.000013f, + 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, + 0.000008f, 0.000008f, 0.000009f, 0.000011f, 0.000014f, 0.000017f, 0.000015f, 0.000018f, + 0.000021f, 0.000022f, 0.000023f, 0.000026f, 0.000035f, 0.000040f, 0.000056f, 0.000089f, + 0.000225f, 0.001332f, 0.520996f, 0.535156f, 0.538086f, 0.540039f, 0.540039f, 0.540039f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000003f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000002f, 0.000003f, 0.000003f, + 0.000004f, 0.000017f, 0.491211f, 0.506348f, 0.508789f, 0.510254f, 0.510254f, 0.510742f, + }, + { + 0.064758f, 0.179688f, 0.277344f, 0.358398f, 0.427002f, 0.485107f, 0.535156f, 0.578613f, + 0.615234f, 0.647949f, 0.677734f, 0.703125f, 0.725586f, 0.745605f, 0.763672f, 0.780273f, + 0.795410f, 0.810059f, 0.821777f, 0.833496f, 0.843750f, 0.854004f, 0.862793f, 0.871582f, + 0.879883f, 0.886719f, 0.894043f, 0.900879f, 0.906250f, 0.912109f, 0.917969f, 0.922852f, + 0.927246f, 0.932129f, 0.936523f, 0.940918f, 0.944824f, 0.948242f, 0.951660f, 0.955078f, + 0.958496f, 0.961426f, 0.964844f, 0.967773f, 0.970215f, 0.973145f, 0.975586f, 0.977539f, + 0.979980f, 0.982422f, 0.984863f, 0.986328f, 0.988770f, 0.990234f, 0.992676f, 0.993652f, + 0.995605f, 0.997559f, 0.998535f, 0.996582f, 0.995117f, 0.993652f, 0.992188f, 0.990723f, + 0.040344f, 0.121460f, 0.199341f, 0.272949f, 0.339600f, 0.401123f, 0.455078f, 0.501953f, + 0.546875f, 0.583984f, 0.618164f, 0.648926f, 0.676270f, 0.700195f, 0.723145f, 0.743164f, + 0.761230f, 0.776855f, 0.793457f, 0.806641f, 0.819336f, 0.831543f, 0.842285f, 0.852051f, + 0.861328f, 0.869629f, 0.877930f, 0.886230f, 0.892578f, 0.899902f, 0.905273f, 0.911621f, + 0.917480f, 0.922852f, 0.927246f, 0.932129f, 0.936035f, 0.940430f, 0.945312f, 0.949219f, + 0.952148f, 0.956055f, 0.958984f, 0.961914f, 0.965332f, 0.967773f, 0.970703f, 0.973633f, + 0.976074f, 0.978516f, 0.980957f, 0.983398f, 0.985840f, 0.987305f, 0.989258f, 0.991699f, + 0.993652f, 0.995117f, 0.997070f, 0.995605f, 0.994141f, 0.993164f, 0.991699f, 0.990234f, + 0.027191f, 0.084961f, 0.145630f, 0.206177f, 0.266113f, 0.323242f, 0.377930f, 0.428711f, + 0.474609f, 0.517090f, 0.554688f, 0.591309f, 0.621582f, 0.650391f, 0.676758f, 0.700684f, + 0.723145f, 0.741699f, 0.760254f, 0.776855f, 0.791504f, 0.805664f, 0.818359f, 0.830566f, + 0.841309f, 0.851074f, 0.861816f, 0.870117f, 0.878418f, 0.885254f, 0.892090f, 0.899414f, + 0.906250f, 0.912598f, 0.916992f, 0.922363f, 0.928223f, 0.932617f, 0.937500f, 0.941895f, + 0.945801f, 0.949219f, 0.953613f, 0.957031f, 0.960449f, 0.963379f, 0.966797f, 0.969727f, + 0.971680f, 0.974609f, 0.977539f, 0.979980f, 0.981934f, 0.984375f, 0.986328f, 0.989258f, + 0.991211f, 0.992676f, 0.996094f, 0.994629f, 0.993652f, 0.992188f, 0.990723f, 0.989746f, + 0.019577f, 0.061340f, 0.108337f, 0.156860f, 0.207153f, 0.258789f, 0.310059f, 0.358887f, + 0.405762f, 0.450928f, 0.491211f, 0.530273f, 0.565430f, 0.597656f, 0.627441f, 0.654297f, + 0.680176f, 0.702637f, 0.724121f, 0.743164f, 0.760742f, 0.776855f, 0.791992f, 0.806152f, + 0.817871f, 0.830078f, 0.841797f, 0.852539f, 0.861816f, 0.870117f, 0.878906f, 0.886230f, + 0.893066f, 0.900391f, 0.906738f, 0.912598f, 0.918457f, 0.923340f, 0.928223f, 0.933594f, + 0.938477f, 0.942871f, 0.946777f, 0.950684f, 0.954590f, 0.958496f, 0.960938f, 0.964844f, + 0.967773f, 0.970703f, 0.973633f, 0.976074f, 0.979004f, 0.981445f, 0.983398f, 0.985840f, + 0.987793f, 0.990234f, 0.995117f, 0.993652f, 0.992676f, 0.991699f, 0.990234f, 0.989258f, + 0.014397f, 0.046295f, 0.081543f, 0.120728f, 0.162842f, 0.206177f, 0.250977f, 0.296143f, + 0.342041f, 0.385986f, 0.427979f, 0.468262f, 0.506348f, 0.542480f, 0.575195f, 0.605469f, + 0.633789f, 0.660156f, 0.684570f, 0.706543f, 0.727539f, 0.745117f, 0.763184f, 0.778809f, + 0.793945f, 0.807617f, 0.820312f, 0.833008f, 0.842773f, 0.852539f, 0.862305f, 0.872070f, + 0.879395f, 0.887207f, 0.894531f, 0.900879f, 0.907227f, 0.914551f, 0.919922f, 0.925293f, + 0.930176f, 0.935547f, 0.938965f, 0.943359f, 0.948730f, 0.952637f, 0.956055f, 0.959473f, + 0.962891f, 0.966309f, 0.969238f, 0.972656f, 0.975098f, 0.977539f, 0.980957f, 0.982910f, + 0.984863f, 0.987793f, 0.994141f, 0.993164f, 0.991699f, 0.990723f, 0.989746f, 0.988281f, + 0.010925f, 0.035828f, 0.063660f, 0.094360f, 0.128174f, 0.164551f, 0.203247f, 0.244385f, + 0.285645f, 0.326416f, 0.367432f, 0.409424f, 0.447998f, 0.484131f, 0.520508f, 0.553711f, + 0.584473f, 0.614258f, 0.641113f, 0.666016f, 0.689453f, 0.710938f, 0.730469f, 0.750488f, + 0.766602f, 0.781250f, 0.796387f, 0.809570f, 0.822266f, 0.833496f, 0.844727f, 0.854980f, + 0.864258f, 0.873047f, 0.881348f, 0.889648f, 0.895996f, 0.903809f, 0.910156f, 0.916504f, + 0.921387f, 0.926758f, 0.932129f, 0.937500f, 0.941895f, 0.946777f, 0.950684f, 0.954102f, + 0.958008f, 0.960938f, 0.965332f, 0.968262f, 0.971680f, 0.975098f, 0.977539f, 0.979492f, + 0.982422f, 0.984863f, 0.992676f, 0.991699f, 0.990723f, 0.989746f, 0.988770f, 0.987793f, + 0.008698f, 0.028244f, 0.049866f, 0.074463f, 0.102295f, 0.132935f, 0.165161f, 0.200073f, + 0.236206f, 0.275391f, 0.313477f, 0.352051f, 0.391113f, 0.428955f, 0.465088f, 0.500977f, + 0.534180f, 0.565430f, 0.593750f, 0.622559f, 0.648438f, 0.671875f, 0.694824f, 0.715820f, + 0.734863f, 0.753906f, 0.771484f, 0.784668f, 0.799805f, 0.813477f, 0.825195f, 0.836914f, + 0.847656f, 0.857910f, 0.866699f, 0.875488f, 0.884766f, 0.892090f, 0.898438f, 0.906250f, + 0.913086f, 0.918457f, 0.923828f, 0.929688f, 0.935059f, 0.939941f, 0.944336f, 0.948730f, + 0.952637f, 0.956055f, 0.959961f, 0.963379f, 0.967285f, 0.970703f, 0.973633f, 0.976074f, + 0.979492f, 0.982422f, 0.991211f, 0.990723f, 0.990234f, 0.988770f, 0.987793f, 0.986328f, + 0.007210f, 0.022797f, 0.040039f, 0.060181f, 0.082153f, 0.107300f, 0.134155f, 0.164673f, + 0.196167f, 0.229492f, 0.265381f, 0.301025f, 0.338379f, 0.374756f, 0.411133f, 0.446533f, + 0.481201f, 0.515625f, 0.546387f, 0.576660f, 0.605957f, 0.631348f, 0.656738f, 0.681152f, + 0.702148f, 0.722168f, 0.741699f, 0.758789f, 0.775391f, 0.791016f, 0.803711f, 0.817383f, + 0.829102f, 0.840820f, 0.851562f, 0.860840f, 0.871094f, 0.879395f, 0.887695f, 0.895020f, + 0.901855f, 0.909180f, 0.915527f, 0.921387f, 0.927734f, 0.932129f, 0.937500f, 0.941895f, + 0.947266f, 0.950684f, 0.955078f, 0.958984f, 0.962891f, 0.966797f, 0.969727f, 0.973145f, + 0.976562f, 0.979004f, 0.990234f, 0.989746f, 0.988770f, 0.987793f, 0.986816f, 0.985840f, + 0.005863f, 0.018936f, 0.032898f, 0.049377f, 0.067261f, 0.088257f, 0.110535f, 0.135254f, + 0.162231f, 0.191895f, 0.223389f, 0.255371f, 0.290039f, 0.324707f, 0.359863f, 0.395996f, + 0.429932f, 0.464355f, 0.497314f, 0.529297f, 0.559570f, 0.587891f, 0.616699f, 0.642090f, + 0.665527f, 0.688965f, 0.709961f, 0.729492f, 0.747559f, 0.765625f, 0.780762f, 0.794922f, + 0.809082f, 0.822754f, 0.833984f, 0.844727f, 0.855957f, 0.864746f, 0.875000f, 0.883789f, + 0.891113f, 0.898926f, 0.906250f, 0.912598f, 0.918457f, 0.925293f, 0.930664f, 0.935059f, + 0.940918f, 0.945312f, 0.950195f, 0.954590f, 0.958496f, 0.962402f, 0.965820f, 0.969238f, + 0.972656f, 0.976074f, 0.988770f, 0.988770f, 0.987793f, 0.986816f, 0.985840f, 0.984863f, + 0.004925f, 0.015518f, 0.027451f, 0.041199f, 0.055786f, 0.072998f, 0.091492f, 0.112427f, + 0.135254f, 0.160767f, 0.187500f, 0.216919f, 0.247314f, 0.280273f, 0.313477f, 0.346680f, + 0.381592f, 0.415283f, 0.448730f, 0.481201f, 0.513184f, 0.543945f, 0.573242f, 0.601562f, + 0.627441f, 0.652344f, 0.675293f, 0.697754f, 0.718262f, 0.737793f, 0.754883f, 0.771973f, + 0.787109f, 0.800781f, 0.815430f, 0.828125f, 0.839844f, 0.851074f, 0.860840f, 0.870117f, + 0.879883f, 0.887695f, 0.896484f, 0.902832f, 0.911133f, 0.916992f, 0.922852f, 0.928711f, + 0.934082f, 0.939941f, 0.944336f, 0.948730f, 0.954102f, 0.958008f, 0.961426f, 0.965332f, + 0.969238f, 0.972168f, 0.987305f, 0.987305f, 0.986816f, 0.985840f, 0.984863f, 0.983887f, + 0.004139f, 0.012955f, 0.022781f, 0.034088f, 0.046997f, 0.061005f, 0.076538f, 0.094360f, + 0.113464f, 0.134888f, 0.158203f, 0.183716f, 0.210693f, 0.239990f, 0.270264f, 0.302734f, + 0.334961f, 0.367676f, 0.400635f, 0.434082f, 0.467041f, 0.497803f, 0.528809f, 0.558105f, + 0.586426f, 0.614258f, 0.638672f, 0.663574f, 0.686035f, 0.707520f, 0.728027f, 0.745605f, + 0.762695f, 0.779297f, 0.794434f, 0.808594f, 0.821777f, 0.834473f, 0.845215f, 0.855957f, + 0.866699f, 0.876465f, 0.884766f, 0.892090f, 0.900391f, 0.908203f, 0.915039f, 0.920898f, + 0.927246f, 0.932617f, 0.937988f, 0.943848f, 0.948730f, 0.952637f, 0.957520f, 0.961426f, + 0.965820f, 0.968750f, 0.985840f, 0.985840f, 0.985840f, 0.984375f, 0.983887f, 0.982910f, + 0.003492f, 0.011307f, 0.019608f, 0.028793f, 0.039246f, 0.051544f, 0.064392f, 0.078796f, + 0.095337f, 0.113953f, 0.134033f, 0.155396f, 0.179688f, 0.205200f, 0.232300f, 0.261475f, + 0.291748f, 0.323730f, 0.355225f, 0.387939f, 0.420410f, 0.452637f, 0.483887f, 0.514648f, + 0.544922f, 0.573730f, 0.601074f, 0.626953f, 0.651367f, 0.675293f, 0.697266f, 0.717285f, + 0.736816f, 0.755371f, 0.771973f, 0.786621f, 0.803223f, 0.815430f, 0.828613f, 0.840820f, + 0.851562f, 0.863281f, 0.873047f, 0.880859f, 0.890625f, 0.898438f, 0.905762f, 0.913086f, + 0.919434f, 0.925781f, 0.931641f, 0.937500f, 0.942871f, 0.947754f, 0.952637f, 0.957520f, + 0.960938f, 0.965820f, 0.984375f, 0.984863f, 0.984375f, 0.983398f, 0.982422f, 0.981445f, + 0.002977f, 0.009415f, 0.016708f, 0.024811f, 0.033356f, 0.043457f, 0.054535f, 0.067017f, + 0.080322f, 0.096130f, 0.113708f, 0.132080f, 0.152710f, 0.175415f, 0.199829f, 0.226440f, + 0.253662f, 0.282959f, 0.313232f, 0.343750f, 0.375000f, 0.406982f, 0.439453f, 0.471191f, + 0.501465f, 0.531738f, 0.560547f, 0.587891f, 0.615234f, 0.640625f, 0.664062f, 0.687500f, + 0.708496f, 0.728516f, 0.747559f, 0.765137f, 0.781738f, 0.795898f, 0.811523f, 0.824707f, + 0.836426f, 0.847656f, 0.858887f, 0.869141f, 0.878906f, 0.887695f, 0.895996f, 0.904297f, + 0.911133f, 0.917969f, 0.925293f, 0.931152f, 0.937012f, 0.942383f, 0.947266f, 0.953125f, + 0.957031f, 0.961426f, 0.982910f, 0.983398f, 0.982910f, 0.982422f, 0.981445f, 0.980957f, + 0.002743f, 0.008568f, 0.014305f, 0.021378f, 0.028732f, 0.037201f, 0.046387f, 0.057068f, + 0.068848f, 0.082336f, 0.096924f, 0.113159f, 0.130859f, 0.150146f, 0.171509f, 0.194824f, + 0.219482f, 0.246338f, 0.273926f, 0.302734f, 0.333496f, 0.364502f, 0.395752f, 0.426758f, + 0.458252f, 0.489990f, 0.519531f, 0.548340f, 0.576660f, 0.604004f, 0.630859f, 0.654297f, + 0.678223f, 0.700684f, 0.720215f, 0.740234f, 0.758301f, 0.775391f, 0.790527f, 0.805176f, + 0.818848f, 0.833008f, 0.844238f, 0.855469f, 0.866699f, 0.876953f, 0.886230f, 0.894043f, + 0.902832f, 0.910645f, 0.917480f, 0.924316f, 0.930664f, 0.937012f, 0.941895f, 0.947266f, + 0.952148f, 0.957031f, 0.981445f, 0.982422f, 0.981445f, 0.980957f, 0.980469f, 0.979004f, + 0.002504f, 0.007004f, 0.012634f, 0.018555f, 0.024933f, 0.032654f, 0.040283f, 0.048920f, + 0.059357f, 0.070007f, 0.082642f, 0.096741f, 0.112122f, 0.128906f, 0.147339f, 0.167603f, + 0.189697f, 0.213257f, 0.238770f, 0.265869f, 0.293701f, 0.323242f, 0.354004f, 0.384766f, + 0.415283f, 0.447021f, 0.478516f, 0.507812f, 0.536621f, 0.565918f, 0.593750f, 0.620605f, + 0.645508f, 0.668945f, 0.692383f, 0.712891f, 0.733398f, 0.751465f, 0.769531f, 0.785156f, + 0.801270f, 0.814941f, 0.828125f, 0.841797f, 0.853516f, 0.864746f, 0.874512f, 0.883789f, + 0.893555f, 0.900879f, 0.910156f, 0.917480f, 0.923340f, 0.930664f, 0.936523f, 0.942383f, + 0.947754f, 0.952637f, 0.979492f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.978027f, + 0.002039f, 0.006287f, 0.010864f, 0.016129f, 0.021637f, 0.027786f, 0.034485f, 0.042450f, + 0.051331f, 0.060760f, 0.071594f, 0.082886f, 0.096313f, 0.110840f, 0.126587f, 0.145020f, + 0.164185f, 0.185181f, 0.207520f, 0.232300f, 0.258301f, 0.285889f, 0.314941f, 0.344238f, + 0.374268f, 0.405029f, 0.436035f, 0.466797f, 0.498291f, 0.527344f, 0.555664f, 0.583984f, + 0.611328f, 0.636230f, 0.661133f, 0.684082f, 0.705566f, 0.726562f, 0.745605f, 0.764648f, + 0.781250f, 0.797852f, 0.812500f, 0.825195f, 0.838867f, 0.851074f, 0.862305f, 0.873535f, + 0.883301f, 0.892578f, 0.901367f, 0.908203f, 0.916992f, 0.923828f, 0.931152f, 0.937012f, + 0.942383f, 0.947266f, 0.978027f, 0.978516f, 0.979004f, 0.978027f, 0.977051f, 0.977051f, + 0.001762f, 0.005489f, 0.009804f, 0.013931f, 0.019028f, 0.024445f, 0.030518f, 0.036865f, + 0.044189f, 0.052460f, 0.061432f, 0.071960f, 0.083008f, 0.095642f, 0.109558f, 0.124756f, + 0.141602f, 0.160156f, 0.180664f, 0.202148f, 0.225952f, 0.250977f, 0.278076f, 0.305664f, + 0.334961f, 0.364990f, 0.394775f, 0.425537f, 0.456543f, 0.487061f, 0.517090f, 0.546387f, + 0.575195f, 0.602539f, 0.627930f, 0.653809f, 0.676758f, 0.699707f, 0.721191f, 0.740723f, + 0.759766f, 0.777832f, 0.793945f, 0.809082f, 0.823242f, 0.836426f, 0.849609f, 0.861328f, + 0.872070f, 0.881836f, 0.892578f, 0.900391f, 0.908691f, 0.916992f, 0.924316f, 0.931152f, + 0.937500f, 0.943359f, 0.976074f, 0.977051f, 0.977051f, 0.976562f, 0.976074f, 0.975098f, + 0.001675f, 0.005020f, 0.008400f, 0.012253f, 0.016724f, 0.021469f, 0.026428f, 0.032104f, + 0.039062f, 0.045563f, 0.053741f, 0.062103f, 0.072205f, 0.082947f, 0.094666f, 0.107727f, + 0.122681f, 0.139038f, 0.156250f, 0.176514f, 0.197388f, 0.220581f, 0.244629f, 0.270752f, + 0.297607f, 0.326172f, 0.355957f, 0.386475f, 0.416748f, 0.447754f, 0.478027f, 0.507812f, + 0.538086f, 0.566406f, 0.594727f, 0.621582f, 0.647461f, 0.671387f, 0.694336f, 0.716797f, + 0.737305f, 0.755859f, 0.773438f, 0.791016f, 0.807129f, 0.820801f, 0.834961f, 0.848145f, + 0.860352f, 0.871582f, 0.881836f, 0.891602f, 0.901367f, 0.909180f, 0.917480f, 0.925293f, + 0.932129f, 0.938965f, 0.974609f, 0.975586f, 0.976074f, 0.974609f, 0.974121f, 0.973633f, + 0.001437f, 0.004513f, 0.007427f, 0.010994f, 0.014526f, 0.018829f, 0.023331f, 0.028229f, + 0.034058f, 0.040192f, 0.046844f, 0.054321f, 0.062683f, 0.071716f, 0.082397f, 0.093933f, + 0.106567f, 0.120728f, 0.136230f, 0.153320f, 0.172485f, 0.192627f, 0.214233f, 0.237915f, + 0.263672f, 0.290527f, 0.318115f, 0.347412f, 0.377197f, 0.408203f, 0.438477f, 0.469482f, + 0.499512f, 0.529785f, 0.558594f, 0.586914f, 0.614258f, 0.641602f, 0.665527f, 0.689941f, + 0.711914f, 0.732422f, 0.752930f, 0.771484f, 0.789062f, 0.805664f, 0.819824f, 0.833984f, + 0.847656f, 0.860840f, 0.871094f, 0.881836f, 0.891602f, 0.902344f, 0.910156f, 0.918457f, + 0.926270f, 0.932617f, 0.972168f, 0.973633f, 0.973633f, 0.973145f, 0.973145f, 0.971680f, + 0.001390f, 0.003952f, 0.006779f, 0.009941f, 0.013062f, 0.017029f, 0.020905f, 0.024994f, + 0.029877f, 0.035187f, 0.041077f, 0.047119f, 0.055145f, 0.062500f, 0.071594f, 0.081543f, + 0.092712f, 0.104736f, 0.118530f, 0.133179f, 0.150024f, 0.168091f, 0.187378f, 0.209717f, + 0.232178f, 0.256836f, 0.283447f, 0.311279f, 0.339844f, 0.369873f, 0.399658f, 0.429932f, + 0.461426f, 0.492188f, 0.521973f, 0.551758f, 0.580566f, 0.608887f, 0.635254f, 0.660645f, + 0.685059f, 0.708008f, 0.729492f, 0.750488f, 0.769043f, 0.786621f, 0.802734f, 0.818848f, + 0.832520f, 0.846680f, 0.860352f, 0.871582f, 0.882324f, 0.892578f, 0.902832f, 0.911133f, + 0.919922f, 0.926758f, 0.970703f, 0.971680f, 0.971680f, 0.971680f, 0.971680f, 0.969238f, + 0.001328f, 0.003641f, 0.006138f, 0.008690f, 0.011444f, 0.014786f, 0.018311f, 0.022125f, + 0.026337f, 0.031403f, 0.036011f, 0.041809f, 0.047943f, 0.054901f, 0.062622f, 0.071106f, + 0.081299f, 0.091614f, 0.103455f, 0.116333f, 0.130493f, 0.146484f, 0.164307f, 0.183228f, + 0.204224f, 0.226685f, 0.251221f, 0.277100f, 0.303711f, 0.332764f, 0.361572f, 0.391846f, + 0.422852f, 0.454102f, 0.485352f, 0.515625f, 0.545410f, 0.574707f, 0.603027f, 0.630371f, + 0.656250f, 0.681641f, 0.705078f, 0.726562f, 0.747070f, 0.767578f, 0.784668f, 0.803223f, + 0.818848f, 0.833008f, 0.847656f, 0.860352f, 0.872559f, 0.883301f, 0.894043f, 0.903809f, + 0.913574f, 0.921387f, 0.967773f, 0.970215f, 0.970215f, 0.968750f, 0.969238f, 0.968750f, + 0.001053f, 0.002905f, 0.005432f, 0.007912f, 0.010658f, 0.012901f, 0.016464f, 0.019363f, + 0.023376f, 0.027237f, 0.031799f, 0.036346f, 0.042145f, 0.048248f, 0.054871f, 0.062256f, + 0.070618f, 0.079834f, 0.089844f, 0.101440f, 0.113831f, 0.128174f, 0.143433f, 0.160156f, + 0.179077f, 0.199707f, 0.222046f, 0.245483f, 0.271240f, 0.297363f, 0.325684f, 0.355469f, + 0.385254f, 0.416016f, 0.447754f, 0.479004f, 0.508789f, 0.539551f, 0.570312f, 0.598145f, + 0.626465f, 0.652344f, 0.678223f, 0.702148f, 0.725098f, 0.746094f, 0.765625f, 0.785645f, + 0.803223f, 0.819336f, 0.834961f, 0.848145f, 0.861328f, 0.873535f, 0.884766f, 0.895508f, + 0.905762f, 0.915527f, 0.965332f, 0.967773f, 0.968262f, 0.967773f, 0.967285f, 0.966309f, + 0.001106f, 0.002684f, 0.004913f, 0.006733f, 0.009300f, 0.011955f, 0.014435f, 0.017700f, + 0.020477f, 0.024124f, 0.028091f, 0.032532f, 0.037231f, 0.042511f, 0.048309f, 0.054596f, + 0.061798f, 0.069885f, 0.078857f, 0.089050f, 0.099915f, 0.112183f, 0.125488f, 0.140503f, + 0.157104f, 0.175293f, 0.195068f, 0.216309f, 0.240356f, 0.265381f, 0.291748f, 0.319580f, + 0.348633f, 0.379150f, 0.410156f, 0.441406f, 0.472900f, 0.503418f, 0.534668f, 0.565430f, + 0.594727f, 0.622070f, 0.649902f, 0.676270f, 0.700195f, 0.723633f, 0.746094f, 0.766602f, + 0.786133f, 0.802734f, 0.819824f, 0.835449f, 0.849609f, 0.863281f, 0.875977f, 0.887695f, + 0.898438f, 0.908203f, 0.962891f, 0.965820f, 0.966309f, 0.965332f, 0.964844f, 0.964355f, + 0.000782f, 0.002707f, 0.004574f, 0.006184f, 0.008286f, 0.010681f, 0.012878f, 0.015640f, + 0.018478f, 0.021912f, 0.025208f, 0.028976f, 0.032867f, 0.037598f, 0.042938f, 0.048370f, + 0.054443f, 0.061432f, 0.069214f, 0.077515f, 0.087402f, 0.098145f, 0.109497f, 0.122803f, + 0.137329f, 0.153564f, 0.171509f, 0.190918f, 0.212158f, 0.235352f, 0.259766f, 0.286133f, + 0.314209f, 0.343262f, 0.373535f, 0.404297f, 0.436279f, 0.467773f, 0.499512f, 0.530273f, + 0.561523f, 0.590820f, 0.620117f, 0.647461f, 0.674316f, 0.699219f, 0.722656f, 0.745605f, + 0.766602f, 0.785645f, 0.804688f, 0.821777f, 0.836426f, 0.852051f, 0.865234f, 0.878418f, + 0.890625f, 0.901855f, 0.959961f, 0.962891f, 0.963867f, 0.963379f, 0.962402f, 0.962402f, + 0.000787f, 0.002195f, 0.004250f, 0.005775f, 0.007774f, 0.009445f, 0.011795f, 0.013725f, + 0.016678f, 0.019531f, 0.022018f, 0.025665f, 0.029495f, 0.033142f, 0.037598f, 0.042664f, + 0.048248f, 0.053772f, 0.060699f, 0.067993f, 0.076416f, 0.085815f, 0.095764f, 0.107422f, + 0.120239f, 0.134277f, 0.150269f, 0.167358f, 0.186646f, 0.207764f, 0.230347f, 0.255127f, + 0.281250f, 0.308838f, 0.337891f, 0.368408f, 0.399414f, 0.431396f, 0.463135f, 0.495605f, + 0.526855f, 0.558594f, 0.588379f, 0.618652f, 0.646973f, 0.673828f, 0.699707f, 0.723633f, + 0.746094f, 0.767090f, 0.788086f, 0.806641f, 0.823730f, 0.840332f, 0.854980f, 0.869141f, + 0.881836f, 0.893555f, 0.957520f, 0.960938f, 0.960938f, 0.961426f, 0.960449f, 0.959961f, + 0.000765f, 0.002207f, 0.003666f, 0.005177f, 0.006973f, 0.008301f, 0.010704f, 0.012794f, + 0.015015f, 0.017303f, 0.020309f, 0.022568f, 0.026123f, 0.029587f, 0.033325f, 0.037659f, + 0.042206f, 0.047516f, 0.053223f, 0.059814f, 0.067017f, 0.075195f, 0.083801f, 0.094055f, + 0.105042f, 0.117737f, 0.131470f, 0.146851f, 0.163940f, 0.182739f, 0.203369f, 0.225952f, + 0.250244f, 0.276367f, 0.304199f, 0.333008f, 0.364258f, 0.395264f, 0.427002f, 0.459961f, + 0.491699f, 0.524414f, 0.555664f, 0.586914f, 0.617676f, 0.645996f, 0.673340f, 0.699707f, + 0.724121f, 0.748047f, 0.770020f, 0.790039f, 0.809082f, 0.827148f, 0.842773f, 0.858398f, + 0.873047f, 0.885742f, 0.954102f, 0.958008f, 0.958496f, 0.958496f, 0.958496f, 0.957520f, + 0.000586f, 0.001937f, 0.003107f, 0.004745f, 0.006168f, 0.007610f, 0.009590f, 0.011345f, + 0.013321f, 0.015587f, 0.017593f, 0.020294f, 0.023346f, 0.026154f, 0.029205f, 0.033234f, + 0.037415f, 0.041962f, 0.046906f, 0.052673f, 0.058533f, 0.065796f, 0.073669f, 0.082642f, + 0.092346f, 0.103027f, 0.115234f, 0.128784f, 0.143799f, 0.160889f, 0.179199f, 0.199585f, + 0.221802f, 0.246094f, 0.271973f, 0.299805f, 0.329102f, 0.359863f, 0.391357f, 0.423340f, + 0.456299f, 0.490234f, 0.522949f, 0.555176f, 0.586426f, 0.617188f, 0.645996f, 0.675293f, + 0.701660f, 0.726074f, 0.750488f, 0.773926f, 0.793945f, 0.812988f, 0.831543f, 0.847656f, + 0.862793f, 0.877441f, 0.951660f, 0.955078f, 0.955566f, 0.955566f, 0.955078f, 0.954590f, + 0.000678f, 0.001864f, 0.003138f, 0.004333f, 0.005707f, 0.006893f, 0.008224f, 0.009850f, + 0.012215f, 0.013954f, 0.015747f, 0.018219f, 0.020584f, 0.023148f, 0.026047f, 0.029434f, + 0.033020f, 0.037018f, 0.041626f, 0.046509f, 0.051910f, 0.058105f, 0.064636f, 0.072510f, + 0.080750f, 0.090149f, 0.100891f, 0.112549f, 0.126343f, 0.141113f, 0.157593f, 0.175537f, + 0.195801f, 0.218018f, 0.242554f, 0.268311f, 0.295898f, 0.325195f, 0.355713f, 0.388184f, + 0.421143f, 0.454834f, 0.488281f, 0.522949f, 0.554199f, 0.587402f, 0.618164f, 0.648438f, + 0.676758f, 0.704102f, 0.730957f, 0.754395f, 0.776855f, 0.798340f, 0.817871f, 0.836426f, + 0.852051f, 0.868164f, 0.948242f, 0.952637f, 0.953125f, 0.952637f, 0.952148f, 0.951660f, + 0.000470f, 0.001578f, 0.002934f, 0.003838f, 0.005032f, 0.006310f, 0.007725f, 0.008972f, + 0.010826f, 0.012657f, 0.014359f, 0.015991f, 0.018402f, 0.020721f, 0.023102f, 0.026230f, + 0.029495f, 0.032867f, 0.036743f, 0.040680f, 0.045654f, 0.050812f, 0.056763f, 0.063477f, + 0.071045f, 0.078918f, 0.088440f, 0.098938f, 0.110657f, 0.123535f, 0.138062f, 0.154175f, + 0.172363f, 0.192627f, 0.214478f, 0.238770f, 0.264404f, 0.292236f, 0.322266f, 0.353271f, + 0.385742f, 0.419189f, 0.453857f, 0.487549f, 0.521484f, 0.555664f, 0.588867f, 0.621094f, + 0.651367f, 0.680176f, 0.708008f, 0.733887f, 0.759766f, 0.780762f, 0.802734f, 0.821289f, + 0.840820f, 0.858398f, 0.943848f, 0.949219f, 0.949707f, 0.949707f, 0.949707f, 0.949219f, + 0.000485f, 0.001689f, 0.002386f, 0.003698f, 0.004547f, 0.005936f, 0.006851f, 0.008217f, + 0.009834f, 0.011055f, 0.012810f, 0.014473f, 0.016449f, 0.018509f, 0.020950f, 0.023209f, + 0.025940f, 0.029114f, 0.032410f, 0.036133f, 0.040161f, 0.044861f, 0.050018f, 0.055664f, + 0.061859f, 0.069153f, 0.077515f, 0.086365f, 0.096680f, 0.108093f, 0.120605f, 0.135132f, + 0.151489f, 0.169556f, 0.189209f, 0.211426f, 0.235352f, 0.261475f, 0.289307f, 0.319580f, + 0.351074f, 0.384521f, 0.418701f, 0.452881f, 0.487549f, 0.522461f, 0.556641f, 0.591309f, + 0.623535f, 0.653809f, 0.684570f, 0.712891f, 0.739258f, 0.764160f, 0.787109f, 0.809570f, + 0.829102f, 0.847168f, 0.940918f, 0.945801f, 0.946289f, 0.946777f, 0.946777f, 0.945312f, + 0.000620f, 0.001351f, 0.002413f, 0.003273f, 0.004307f, 0.004971f, 0.006138f, 0.007542f, + 0.008835f, 0.009972f, 0.011581f, 0.013069f, 0.014717f, 0.016495f, 0.018738f, 0.020691f, + 0.023315f, 0.025879f, 0.028793f, 0.031860f, 0.035309f, 0.039246f, 0.043762f, 0.048950f, + 0.054474f, 0.060669f, 0.067932f, 0.075378f, 0.084351f, 0.094055f, 0.105774f, 0.118469f, + 0.132690f, 0.148315f, 0.166504f, 0.186401f, 0.208130f, 0.232544f, 0.258789f, 0.287109f, + 0.317627f, 0.349854f, 0.383057f, 0.417725f, 0.453125f, 0.488770f, 0.523926f, 0.559082f, + 0.594238f, 0.627441f, 0.659180f, 0.689941f, 0.719238f, 0.745117f, 0.770508f, 0.794434f, + 0.815430f, 0.836914f, 0.936523f, 0.941895f, 0.942871f, 0.942871f, 0.942871f, 0.942383f, + 0.000404f, 0.001095f, 0.002087f, 0.002983f, 0.003986f, 0.004673f, 0.005844f, 0.006878f, + 0.007740f, 0.008873f, 0.010323f, 0.011757f, 0.013176f, 0.014915f, 0.016586f, 0.018585f, + 0.020523f, 0.022720f, 0.025391f, 0.028244f, 0.031219f, 0.034821f, 0.038788f, 0.042908f, + 0.047943f, 0.053040f, 0.058960f, 0.066162f, 0.073547f, 0.082397f, 0.092285f, 0.102844f, + 0.115234f, 0.129883f, 0.146118f, 0.163452f, 0.183350f, 0.205688f, 0.229614f, 0.256592f, + 0.285156f, 0.316162f, 0.348633f, 0.383057f, 0.418457f, 0.454590f, 0.490967f, 0.526855f, + 0.563477f, 0.598633f, 0.632812f, 0.665527f, 0.696777f, 0.726074f, 0.752930f, 0.779297f, + 0.803223f, 0.825684f, 0.933105f, 0.938477f, 0.938477f, 0.938965f, 0.938477f, 0.938477f, + 0.000415f, 0.000864f, 0.001907f, 0.002775f, 0.003519f, 0.004204f, 0.005352f, 0.006237f, + 0.007019f, 0.008064f, 0.009239f, 0.010483f, 0.011742f, 0.013130f, 0.014877f, 0.016571f, + 0.018494f, 0.020126f, 0.022537f, 0.024826f, 0.027649f, 0.030701f, 0.033875f, 0.037964f, + 0.042114f, 0.046356f, 0.051605f, 0.057587f, 0.064209f, 0.071777f, 0.080261f, 0.089722f, + 0.100952f, 0.113220f, 0.127075f, 0.143066f, 0.160767f, 0.180664f, 0.202759f, 0.227417f, + 0.254395f, 0.284180f, 0.315674f, 0.348633f, 0.383789f, 0.420166f, 0.457275f, 0.494385f, + 0.531250f, 0.569336f, 0.605469f, 0.639160f, 0.672363f, 0.705078f, 0.735352f, 0.762207f, + 0.788574f, 0.811523f, 0.928711f, 0.934082f, 0.934570f, 0.935059f, 0.935059f, 0.935059f, + 0.000236f, 0.001136f, 0.001664f, 0.002502f, 0.003187f, 0.004082f, 0.004631f, 0.005386f, + 0.006275f, 0.007385f, 0.008217f, 0.009453f, 0.010567f, 0.011787f, 0.013115f, 0.014420f, + 0.016083f, 0.017944f, 0.019867f, 0.022079f, 0.024414f, 0.026962f, 0.029755f, 0.033112f, + 0.036926f, 0.040771f, 0.045258f, 0.050232f, 0.056183f, 0.062500f, 0.069946f, 0.078430f, + 0.087708f, 0.098389f, 0.110779f, 0.124634f, 0.140259f, 0.158203f, 0.178223f, 0.200928f, + 0.225708f, 0.253174f, 0.282715f, 0.315430f, 0.349365f, 0.385254f, 0.422363f, 0.460938f, + 0.499023f, 0.537109f, 0.574707f, 0.612305f, 0.646484f, 0.682129f, 0.713867f, 0.745117f, + 0.772461f, 0.799316f, 0.923828f, 0.930176f, 0.930664f, 0.931152f, 0.930664f, 0.930664f, + 0.000229f, 0.000964f, 0.001582f, 0.002182f, 0.002838f, 0.003653f, 0.004341f, 0.004921f, + 0.005615f, 0.006626f, 0.007423f, 0.008545f, 0.009483f, 0.010666f, 0.011612f, 0.013000f, + 0.014275f, 0.015900f, 0.017487f, 0.019333f, 0.021484f, 0.023773f, 0.026276f, 0.028992f, + 0.032135f, 0.035492f, 0.039398f, 0.044037f, 0.049072f, 0.054443f, 0.061035f, 0.067871f, + 0.076111f, 0.085632f, 0.096252f, 0.108154f, 0.122253f, 0.138306f, 0.156006f, 0.175903f, + 0.199219f, 0.224243f, 0.251953f, 0.282715f, 0.315918f, 0.350830f, 0.387451f, 0.425781f, + 0.465332f, 0.504395f, 0.544434f, 0.583008f, 0.620117f, 0.657715f, 0.692383f, 0.725098f, + 0.755371f, 0.783691f, 0.919434f, 0.925781f, 0.926270f, 0.926758f, 0.926758f, 0.925781f, + 0.000410f, 0.000856f, 0.001542f, 0.001844f, 0.002565f, 0.003380f, 0.003971f, 0.004246f, + 0.005047f, 0.005863f, 0.006653f, 0.007744f, 0.008568f, 0.009407f, 0.010529f, 0.011482f, + 0.012657f, 0.013924f, 0.015602f, 0.017105f, 0.018997f, 0.020859f, 0.022980f, 0.025192f, + 0.028030f, 0.031036f, 0.034515f, 0.038300f, 0.042236f, 0.047180f, 0.052795f, 0.059113f, + 0.065857f, 0.074097f, 0.083374f, 0.094360f, 0.105896f, 0.119873f, 0.135620f, 0.154175f, + 0.174072f, 0.197632f, 0.223267f, 0.251465f, 0.283447f, 0.317139f, 0.353760f, 0.391113f, + 0.431152f, 0.470703f, 0.512207f, 0.552734f, 0.592285f, 0.631348f, 0.669434f, 0.704590f, + 0.737793f, 0.768555f, 0.913574f, 0.919922f, 0.920898f, 0.920898f, 0.921387f, 0.921387f, + 0.000214f, 0.000619f, 0.001172f, 0.001941f, 0.002228f, 0.002960f, 0.003490f, 0.003994f, + 0.004761f, 0.005180f, 0.005806f, 0.006622f, 0.007565f, 0.008301f, 0.009262f, 0.010170f, + 0.011208f, 0.012482f, 0.013855f, 0.015060f, 0.016739f, 0.018311f, 0.020248f, 0.022034f, + 0.024597f, 0.027084f, 0.030045f, 0.033051f, 0.036743f, 0.041016f, 0.045807f, 0.050964f, + 0.056946f, 0.063904f, 0.071899f, 0.080994f, 0.091675f, 0.103699f, 0.117920f, 0.133667f, + 0.151978f, 0.172729f, 0.196533f, 0.222534f, 0.252197f, 0.284424f, 0.319580f, 0.356689f, + 0.396973f, 0.437500f, 0.479492f, 0.521484f, 0.562500f, 0.604004f, 0.644043f, 0.682129f, + 0.718262f, 0.751465f, 0.907715f, 0.915039f, 0.916016f, 0.916504f, 0.916504f, 0.916504f, + 0.000405f, 0.000760f, 0.001116f, 0.001688f, 0.002180f, 0.002670f, 0.003313f, 0.003569f, + 0.003979f, 0.004543f, 0.005466f, 0.005985f, 0.006699f, 0.007359f, 0.008102f, 0.009094f, + 0.009949f, 0.011055f, 0.012047f, 0.013412f, 0.014488f, 0.016068f, 0.017532f, 0.019348f, + 0.021210f, 0.023834f, 0.025986f, 0.028854f, 0.031891f, 0.035339f, 0.039490f, 0.043976f, + 0.049347f, 0.055084f, 0.061951f, 0.069763f, 0.078918f, 0.089478f, 0.101379f, 0.115479f, + 0.131592f, 0.150024f, 0.171387f, 0.195068f, 0.222900f, 0.252686f, 0.286621f, 0.323242f, + 0.362061f, 0.402588f, 0.445312f, 0.488770f, 0.532715f, 0.575684f, 0.618652f, 0.659180f, + 0.698242f, 0.734375f, 0.901367f, 0.909180f, 0.911133f, 0.910645f, 0.911133f, 0.910645f, + 0.000218f, 0.000539f, 0.001187f, 0.001617f, 0.001987f, 0.002316f, 0.002666f, 0.003176f, + 0.003841f, 0.004425f, 0.004917f, 0.005402f, 0.005768f, 0.006462f, 0.007233f, 0.008018f, + 0.008575f, 0.009758f, 0.010582f, 0.011520f, 0.012756f, 0.013832f, 0.015312f, 0.016968f, + 0.018509f, 0.020279f, 0.022644f, 0.024857f, 0.027740f, 0.030472f, 0.033783f, 0.037567f, + 0.042175f, 0.047150f, 0.052979f, 0.059601f, 0.067505f, 0.076538f, 0.087158f, 0.099243f, + 0.113281f, 0.129272f, 0.148315f, 0.170532f, 0.194702f, 0.223267f, 0.254639f, 0.289795f, + 0.327393f, 0.368408f, 0.410889f, 0.455322f, 0.499756f, 0.544434f, 0.590332f, 0.633789f, + 0.676270f, 0.716309f, 0.895508f, 0.902344f, 0.903809f, 0.905762f, 0.903809f, 0.904297f, + 0.000184f, 0.000612f, 0.001122f, 0.001464f, 0.001848f, 0.002150f, 0.002514f, 0.002651f, + 0.003391f, 0.003666f, 0.004368f, 0.004677f, 0.005219f, 0.005882f, 0.006531f, 0.007019f, + 0.007675f, 0.008530f, 0.009224f, 0.010269f, 0.011017f, 0.012146f, 0.013321f, 0.014626f, + 0.016098f, 0.017639f, 0.019440f, 0.021317f, 0.023773f, 0.026123f, 0.029144f, 0.032410f, + 0.036072f, 0.040314f, 0.045013f, 0.051086f, 0.057587f, 0.065308f, 0.074402f, 0.084961f, + 0.097107f, 0.111267f, 0.127930f, 0.147217f, 0.169556f, 0.195312f, 0.224365f, 0.257568f, + 0.294189f, 0.333496f, 0.375977f, 0.420166f, 0.467041f, 0.514160f, 0.561035f, 0.607422f, + 0.652344f, 0.695312f, 0.888672f, 0.896484f, 0.897461f, 0.897461f, 0.897949f, 0.897949f, + 0.000159f, 0.000537f, 0.000830f, 0.001206f, 0.001578f, 0.001760f, 0.002050f, 0.002504f, + 0.002951f, 0.003397f, 0.003674f, 0.004238f, 0.004520f, 0.005245f, 0.005692f, 0.006138f, + 0.006748f, 0.007240f, 0.008087f, 0.008728f, 0.009636f, 0.010437f, 0.011543f, 0.012611f, + 0.013763f, 0.015266f, 0.016617f, 0.018433f, 0.020248f, 0.022354f, 0.024887f, 0.027390f, + 0.030716f, 0.034454f, 0.038422f, 0.043365f, 0.048950f, 0.055511f, 0.062988f, 0.072021f, + 0.082336f, 0.094727f, 0.109375f, 0.125977f, 0.145874f, 0.169556f, 0.195679f, 0.226929f, + 0.260986f, 0.299805f, 0.341309f, 0.385498f, 0.432129f, 0.480957f, 0.529297f, 0.579102f, + 0.627441f, 0.673828f, 0.881348f, 0.889160f, 0.890625f, 0.891113f, 0.891602f, 0.891113f, + 0.000204f, 0.000566f, 0.000741f, 0.001033f, 0.001378f, 0.001599f, 0.001961f, 0.002354f, + 0.002609f, 0.002974f, 0.003300f, 0.003609f, 0.004101f, 0.004463f, 0.004906f, 0.005337f, + 0.006020f, 0.006290f, 0.007023f, 0.007656f, 0.008301f, 0.009140f, 0.009918f, 0.010933f, + 0.011940f, 0.013107f, 0.014252f, 0.015656f, 0.017136f, 0.019058f, 0.021057f, 0.023209f, + 0.025940f, 0.029190f, 0.032715f, 0.036591f, 0.041138f, 0.046661f, 0.053253f, 0.060944f, + 0.069702f, 0.080444f, 0.092651f, 0.107788f, 0.124695f, 0.145630f, 0.169189f, 0.197632f, + 0.229736f, 0.266113f, 0.306396f, 0.350586f, 0.397217f, 0.447021f, 0.497803f, 0.549805f, + 0.600586f, 0.650391f, 0.872559f, 0.881836f, 0.882812f, 0.883301f, 0.884277f, 0.884277f, + 0.000240f, 0.000349f, 0.000795f, 0.000892f, 0.001151f, 0.001377f, 0.001773f, 0.001984f, + 0.002415f, 0.002602f, 0.002932f, 0.003168f, 0.003483f, 0.003906f, 0.004257f, 0.004681f, + 0.005173f, 0.005596f, 0.006119f, 0.006550f, 0.007126f, 0.007759f, 0.008522f, 0.009270f, + 0.010086f, 0.011108f, 0.012138f, 0.013199f, 0.014549f, 0.015884f, 0.017776f, 0.019623f, + 0.022003f, 0.024384f, 0.027237f, 0.030624f, 0.034515f, 0.039215f, 0.044342f, 0.050873f, + 0.058411f, 0.067017f, 0.078003f, 0.090332f, 0.105530f, 0.123718f, 0.144775f, 0.170410f, + 0.200195f, 0.234131f, 0.272461f, 0.315674f, 0.362305f, 0.412354f, 0.465332f, 0.518555f, + 0.572754f, 0.626465f, 0.863770f, 0.873047f, 0.875488f, 0.875488f, 0.875977f, 0.875977f, + 0.000102f, 0.000298f, 0.000604f, 0.000950f, 0.001089f, 0.001472f, 0.001760f, 0.001823f, + 0.001903f, 0.002325f, 0.002611f, 0.002775f, 0.003185f, 0.003405f, 0.003674f, 0.004005f, + 0.004406f, 0.004814f, 0.005203f, 0.005665f, 0.006062f, 0.006702f, 0.007317f, 0.007881f, + 0.008560f, 0.009239f, 0.010193f, 0.010994f, 0.012161f, 0.013588f, 0.015068f, 0.016479f, + 0.018250f, 0.020386f, 0.022781f, 0.025665f, 0.028809f, 0.032501f, 0.037048f, 0.042297f, + 0.048553f, 0.055908f, 0.065491f, 0.075378f, 0.088501f, 0.104248f, 0.122742f, 0.145874f, + 0.171997f, 0.203247f, 0.239990f, 0.281250f, 0.326904f, 0.376953f, 0.430176f, 0.486328f, + 0.542480f, 0.600586f, 0.855469f, 0.864746f, 0.866211f, 0.867188f, 0.867188f, 0.867188f, + 0.000000f, 0.000357f, 0.000576f, 0.000692f, 0.001013f, 0.001069f, 0.001383f, 0.001702f, + 0.001789f, 0.002102f, 0.002182f, 0.002377f, 0.002686f, 0.002985f, 0.003347f, 0.003359f, + 0.003782f, 0.004036f, 0.004436f, 0.004749f, 0.005169f, 0.005672f, 0.006145f, 0.006649f, + 0.007187f, 0.007828f, 0.008644f, 0.009529f, 0.010269f, 0.011200f, 0.012337f, 0.013596f, + 0.015038f, 0.017044f, 0.018784f, 0.021011f, 0.023727f, 0.026871f, 0.030457f, 0.034637f, + 0.039978f, 0.046478f, 0.053436f, 0.062622f, 0.073730f, 0.086792f, 0.102661f, 0.122437f, + 0.146240f, 0.174561f, 0.208252f, 0.247437f, 0.291748f, 0.341064f, 0.395020f, 0.451904f, + 0.511230f, 0.571777f, 0.844238f, 0.854980f, 0.857422f, 0.858887f, 0.857910f, 0.857910f, + 0.000101f, 0.000326f, 0.000535f, 0.000683f, 0.000848f, 0.001161f, 0.001184f, 0.001284f, + 0.001576f, 0.001701f, 0.001839f, 0.002167f, 0.002321f, 0.002584f, 0.002645f, 0.002941f, + 0.003141f, 0.003538f, 0.003817f, 0.004112f, 0.004395f, 0.004646f, 0.005165f, 0.005531f, + 0.006096f, 0.006496f, 0.007217f, 0.007767f, 0.008629f, 0.009163f, 0.010239f, 0.011276f, + 0.012611f, 0.013779f, 0.015213f, 0.017120f, 0.019379f, 0.021606f, 0.024994f, 0.028351f, + 0.032379f, 0.037201f, 0.043640f, 0.050903f, 0.060120f, 0.071045f, 0.084900f, 0.101868f, + 0.122559f, 0.147827f, 0.178223f, 0.214722f, 0.257080f, 0.305664f, 0.358887f, 0.416992f, + 0.478027f, 0.542969f, 0.834473f, 0.845215f, 0.847656f, 0.847656f, 0.847656f, 0.848633f, + 0.000092f, 0.000316f, 0.000410f, 0.000556f, 0.000808f, 0.000918f, 0.001094f, 0.001287f, + 0.001309f, 0.001411f, 0.001671f, 0.001780f, 0.001909f, 0.002092f, 0.002274f, 0.002523f, + 0.002733f, 0.002974f, 0.003101f, 0.003401f, 0.003677f, 0.003956f, 0.004311f, 0.004551f, + 0.004940f, 0.005444f, 0.005768f, 0.006451f, 0.006977f, 0.007568f, 0.008270f, 0.009201f, + 0.010170f, 0.011230f, 0.012566f, 0.013939f, 0.015503f, 0.017761f, 0.020111f, 0.022873f, + 0.025940f, 0.029938f, 0.035217f, 0.040985f, 0.048431f, 0.057770f, 0.069092f, 0.083618f, + 0.100891f, 0.123047f, 0.150146f, 0.183838f, 0.223633f, 0.269531f, 0.322510f, 0.381348f, + 0.444824f, 0.511719f, 0.823730f, 0.834473f, 0.835938f, 0.836914f, 0.836914f, 0.837402f, + 0.000240f, 0.000273f, 0.000326f, 0.000564f, 0.000682f, 0.000807f, 0.000854f, 0.000949f, + 0.001139f, 0.001238f, 0.001404f, 0.001548f, 0.001637f, 0.001840f, 0.001893f, 0.002077f, + 0.002321f, 0.002434f, 0.002642f, 0.002821f, 0.003044f, 0.003271f, 0.003649f, 0.003763f, + 0.004208f, 0.004448f, 0.004986f, 0.005169f, 0.005657f, 0.006279f, 0.006680f, 0.007442f, + 0.008194f, 0.008881f, 0.009895f, 0.010918f, 0.012138f, 0.013924f, 0.015915f, 0.018112f, + 0.020645f, 0.023743f, 0.027817f, 0.032745f, 0.038361f, 0.045990f, 0.055481f, 0.066895f, + 0.082031f, 0.100769f, 0.124573f, 0.154541f, 0.190796f, 0.235107f, 0.286133f, 0.344238f, + 0.408936f, 0.478271f, 0.810547f, 0.822266f, 0.824707f, 0.825195f, 0.825684f, 0.825684f, + 0.000115f, 0.000222f, 0.000252f, 0.000524f, 0.000574f, 0.000673f, 0.000869f, 0.000928f, + 0.000963f, 0.001022f, 0.001246f, 0.001292f, 0.001404f, 0.001477f, 0.001652f, 0.001811f, + 0.001822f, 0.002058f, 0.002237f, 0.002371f, 0.002588f, 0.002645f, 0.003019f, 0.003080f, + 0.003506f, 0.003689f, 0.003904f, 0.004383f, 0.004707f, 0.005020f, 0.005386f, 0.006023f, + 0.006451f, 0.007038f, 0.007809f, 0.008911f, 0.009949f, 0.011200f, 0.012222f, 0.014137f, + 0.016068f, 0.018692f, 0.021683f, 0.025314f, 0.029861f, 0.035889f, 0.043335f, 0.052582f, + 0.065186f, 0.080627f, 0.101501f, 0.127441f, 0.159912f, 0.200806f, 0.250000f, 0.307129f, + 0.371582f, 0.444580f, 0.798340f, 0.809570f, 0.811523f, 0.812988f, 0.812988f, 0.812988f, + 0.000000f, 0.000211f, 0.000204f, 0.000474f, 0.000555f, 0.000583f, 0.000600f, 0.000593f, + 0.000812f, 0.000865f, 0.000941f, 0.001013f, 0.001162f, 0.001348f, 0.001418f, 0.001465f, + 0.001616f, 0.001722f, 0.001856f, 0.001888f, 0.002048f, 0.002321f, 0.002396f, 0.002632f, + 0.002821f, 0.002974f, 0.003265f, 0.003477f, 0.003632f, 0.004051f, 0.004299f, 0.004700f, + 0.005238f, 0.005592f, 0.006199f, 0.006756f, 0.007614f, 0.008324f, 0.009727f, 0.010811f, + 0.012337f, 0.014168f, 0.016434f, 0.019257f, 0.022858f, 0.027451f, 0.033295f, 0.040619f, + 0.050690f, 0.063416f, 0.080261f, 0.102295f, 0.131104f, 0.168335f, 0.214355f, 0.270508f, + 0.334717f, 0.408936f, 0.783691f, 0.795898f, 0.798340f, 0.799316f, 0.800293f, 0.800293f, + 0.000174f, 0.000090f, 0.000281f, 0.000397f, 0.000401f, 0.000450f, 0.000488f, 0.000640f, + 0.000674f, 0.000713f, 0.000753f, 0.000845f, 0.000872f, 0.001020f, 0.001115f, 0.001264f, + 0.001327f, 0.001373f, 0.001520f, 0.001616f, 0.001767f, 0.001875f, 0.001968f, 0.002090f, + 0.002232f, 0.002333f, 0.002472f, 0.002802f, 0.002926f, 0.003189f, 0.003569f, 0.003752f, + 0.004009f, 0.004513f, 0.004860f, 0.005375f, 0.005997f, 0.006561f, 0.007378f, 0.008347f, + 0.009384f, 0.010612f, 0.012466f, 0.014526f, 0.017075f, 0.020447f, 0.024887f, 0.030533f, + 0.038300f, 0.048584f, 0.062042f, 0.080383f, 0.104736f, 0.137329f, 0.180176f, 0.232544f, + 0.296875f, 0.371338f, 0.769043f, 0.781250f, 0.784180f, 0.784668f, 0.786133f, 0.786133f, + 0.000025f, 0.000135f, 0.000154f, 0.000260f, 0.000353f, 0.000364f, 0.000380f, 0.000520f, + 0.000548f, 0.000587f, 0.000712f, 0.000735f, 0.000772f, 0.000822f, 0.000886f, 0.001004f, + 0.000946f, 0.001115f, 0.001177f, 0.001266f, 0.001454f, 0.001527f, 0.001575f, 0.001680f, + 0.001883f, 0.001961f, 0.002043f, 0.002193f, 0.002281f, 0.002520f, 0.002712f, 0.003021f, + 0.003147f, 0.003561f, 0.003786f, 0.004116f, 0.004570f, 0.005058f, 0.005634f, 0.006165f, + 0.007095f, 0.008049f, 0.009201f, 0.010674f, 0.012550f, 0.014854f, 0.018051f, 0.022385f, + 0.027908f, 0.035522f, 0.046295f, 0.061035f, 0.081238f, 0.109131f, 0.146729f, 0.197021f, + 0.258301f, 0.333008f, 0.752441f, 0.766113f, 0.768555f, 0.769531f, 0.770020f, 0.769531f, + 0.000000f, 0.000121f, 0.000209f, 0.000291f, 0.000337f, 0.000307f, 0.000324f, 0.000415f, + 0.000426f, 0.000453f, 0.000491f, 0.000573f, 0.000644f, 0.000650f, 0.000781f, 0.000746f, + 0.000830f, 0.000803f, 0.000997f, 0.001017f, 0.001020f, 0.001158f, 0.001241f, 0.001317f, + 0.001375f, 0.001432f, 0.001524f, 0.001656f, 0.001858f, 0.001955f, 0.002050f, 0.002274f, + 0.002460f, 0.002724f, 0.002831f, 0.003050f, 0.003441f, 0.003790f, 0.004162f, 0.004623f, + 0.005219f, 0.005951f, 0.006721f, 0.007729f, 0.008926f, 0.010620f, 0.013000f, 0.015686f, + 0.019852f, 0.025436f, 0.033295f, 0.044617f, 0.060608f, 0.083313f, 0.116211f, 0.161499f, + 0.220093f, 0.293945f, 0.734863f, 0.749512f, 0.752441f, 0.752930f, 0.753906f, 0.753906f, + 0.000000f, 0.000121f, 0.000118f, 0.000246f, 0.000233f, 0.000252f, 0.000338f, 0.000282f, + 0.000353f, 0.000355f, 0.000448f, 0.000435f, 0.000464f, 0.000530f, 0.000578f, 0.000649f, + 0.000677f, 0.000710f, 0.000749f, 0.000792f, 0.000881f, 0.000903f, 0.000967f, 0.001049f, + 0.001041f, 0.001100f, 0.001176f, 0.001254f, 0.001402f, 0.001451f, 0.001697f, 0.001674f, + 0.001804f, 0.001914f, 0.002195f, 0.002451f, 0.002474f, 0.002758f, 0.003029f, 0.003483f, + 0.003824f, 0.004272f, 0.004833f, 0.005573f, 0.006477f, 0.007629f, 0.009041f, 0.010918f, + 0.013573f, 0.017319f, 0.022842f, 0.031036f, 0.043030f, 0.061096f, 0.088440f, 0.127563f, + 0.182861f, 0.254395f, 0.717285f, 0.731934f, 0.734863f, 0.735352f, 0.735840f, 0.736328f, + 0.000000f, 0.000000f, 0.000117f, 0.000163f, 0.000109f, 0.000208f, 0.000212f, 0.000208f, + 0.000270f, 0.000356f, 0.000324f, 0.000377f, 0.000391f, 0.000420f, 0.000449f, 0.000440f, + 0.000484f, 0.000504f, 0.000534f, 0.000561f, 0.000639f, 0.000667f, 0.000715f, 0.000722f, + 0.000799f, 0.000845f, 0.000939f, 0.000945f, 0.001053f, 0.001149f, 0.001252f, 0.001310f, + 0.001392f, 0.001507f, 0.001526f, 0.001710f, 0.001773f, 0.002111f, 0.002300f, 0.002443f, + 0.002661f, 0.002996f, 0.003376f, 0.003880f, 0.004482f, 0.005150f, 0.006115f, 0.007401f, + 0.009132f, 0.011696f, 0.015076f, 0.020416f, 0.029236f, 0.042389f, 0.063782f, 0.096802f, + 0.146362f, 0.215576f, 0.698242f, 0.712891f, 0.715332f, 0.716797f, 0.717285f, 0.717285f, + 0.000000f, 0.000118f, 0.000115f, 0.000133f, 0.000144f, 0.000147f, 0.000162f, 0.000150f, + 0.000194f, 0.000215f, 0.000228f, 0.000299f, 0.000271f, 0.000313f, 0.000328f, 0.000358f, + 0.000378f, 0.000360f, 0.000407f, 0.000438f, 0.000441f, 0.000488f, 0.000515f, 0.000544f, + 0.000576f, 0.000617f, 0.000659f, 0.000715f, 0.000741f, 0.000773f, 0.000850f, 0.000921f, + 0.000979f, 0.001066f, 0.001128f, 0.001292f, 0.001279f, 0.001400f, 0.001572f, 0.001668f, + 0.001869f, 0.002029f, 0.002295f, 0.002607f, 0.002985f, 0.003464f, 0.004066f, 0.004913f, + 0.006023f, 0.007519f, 0.009827f, 0.013016f, 0.018524f, 0.027481f, 0.042847f, 0.068970f, + 0.111938f, 0.176392f, 0.675781f, 0.692871f, 0.695801f, 0.696777f, 0.698242f, 0.697754f, + 0.000000f, 0.000000f, 0.000111f, 0.000108f, 0.000104f, 0.000102f, 0.000118f, 0.000120f, + 0.000134f, 0.000128f, 0.000188f, 0.000154f, 0.000197f, 0.000188f, 0.000245f, 0.000256f, + 0.000233f, 0.000266f, 0.000345f, 0.000281f, 0.000355f, 0.000322f, 0.000392f, 0.000358f, + 0.000437f, 0.000425f, 0.000458f, 0.000477f, 0.000564f, 0.000636f, 0.000578f, 0.000607f, + 0.000668f, 0.000719f, 0.000769f, 0.000832f, 0.000880f, 0.000953f, 0.001060f, 0.001116f, + 0.001226f, 0.001363f, 0.001486f, 0.001760f, 0.001944f, 0.002216f, 0.002605f, 0.003107f, + 0.003778f, 0.004715f, 0.005989f, 0.007942f, 0.011292f, 0.016632f, 0.026550f, 0.045532f, + 0.079956f, 0.138550f, 0.655762f, 0.671875f, 0.674805f, 0.675293f, 0.675781f, 0.678223f, + 0.000000f, 0.000112f, 0.000105f, 0.000102f, 0.000098f, 0.000095f, 0.000093f, 0.000088f, + 0.000089f, 0.000085f, 0.000095f, 0.000126f, 0.000109f, 0.000154f, 0.000153f, 0.000162f, + 0.000176f, 0.000190f, 0.000202f, 0.000204f, 0.000212f, 0.000214f, 0.000266f, 0.000239f, + 0.000279f, 0.000293f, 0.000329f, 0.000329f, 0.000339f, 0.000365f, 0.000437f, 0.000424f, + 0.000429f, 0.000474f, 0.000525f, 0.000596f, 0.000572f, 0.000612f, 0.000666f, 0.000723f, + 0.000791f, 0.000850f, 0.000977f, 0.001066f, 0.001225f, 0.001351f, 0.001555f, 0.001837f, + 0.002279f, 0.002760f, 0.003445f, 0.004612f, 0.006386f, 0.009438f, 0.015221f, 0.027008f, + 0.052551f, 0.102966f, 0.633789f, 0.649414f, 0.652832f, 0.653809f, 0.655273f, 0.655273f, + 0.000000f, 0.000105f, 0.000099f, 0.000094f, 0.000090f, 0.000087f, 0.000084f, 0.000082f, + 0.000079f, 0.000075f, 0.000071f, 0.000068f, 0.000064f, 0.000072f, 0.000096f, 0.000105f, + 0.000112f, 0.000088f, 0.000123f, 0.000129f, 0.000132f, 0.000140f, 0.000147f, 0.000170f, + 0.000188f, 0.000192f, 0.000171f, 0.000210f, 0.000217f, 0.000223f, 0.000237f, 0.000251f, + 0.000258f, 0.000294f, 0.000298f, 0.000316f, 0.000350f, 0.000382f, 0.000400f, 0.000437f, + 0.000479f, 0.000514f, 0.000576f, 0.000620f, 0.000688f, 0.000782f, 0.000916f, 0.001026f, + 0.001219f, 0.001502f, 0.001892f, 0.002424f, 0.003359f, 0.004974f, 0.008118f, 0.014343f, + 0.030075f, 0.070068f, 0.610352f, 0.626953f, 0.629883f, 0.631348f, 0.632324f, 0.632324f, + 0.000110f, 0.000094f, 0.000087f, 0.000081f, 0.000077f, 0.000075f, 0.000072f, 0.000069f, + 0.000067f, 0.000066f, 0.000064f, 0.000062f, 0.000058f, 0.000056f, 0.000053f, 0.000051f, + 0.000054f, 0.000047f, 0.000057f, 0.000055f, 0.000075f, 0.000078f, 0.000086f, 0.000093f, + 0.000093f, 0.000102f, 0.000112f, 0.000113f, 0.000130f, 0.000128f, 0.000142f, 0.000145f, + 0.000156f, 0.000153f, 0.000180f, 0.000178f, 0.000183f, 0.000223f, 0.000230f, 0.000240f, + 0.000265f, 0.000276f, 0.000300f, 0.000332f, 0.000357f, 0.000411f, 0.000449f, 0.000540f, + 0.000615f, 0.000741f, 0.000916f, 0.001144f, 0.001566f, 0.002310f, 0.003731f, 0.006905f, + 0.014793f, 0.041779f, 0.585938f, 0.603027f, 0.605957f, 0.608398f, 0.608398f, 0.609375f, + 0.000090f, 0.000071f, 0.000066f, 0.000062f, 0.000058f, 0.000056f, 0.000053f, 0.000053f, + 0.000051f, 0.000051f, 0.000049f, 0.000048f, 0.000048f, 0.000047f, 0.000045f, 0.000043f, + 0.000042f, 0.000040f, 0.000038f, 0.000036f, 0.000036f, 0.000033f, 0.000034f, 0.000040f, + 0.000040f, 0.000040f, 0.000048f, 0.000053f, 0.000060f, 0.000064f, 0.000067f, 0.000070f, + 0.000075f, 0.000081f, 0.000085f, 0.000090f, 0.000091f, 0.000103f, 0.000106f, 0.000120f, + 0.000134f, 0.000138f, 0.000142f, 0.000156f, 0.000174f, 0.000180f, 0.000212f, 0.000239f, + 0.000253f, 0.000310f, 0.000377f, 0.000479f, 0.000627f, 0.000875f, 0.001396f, 0.002623f, + 0.006184f, 0.019897f, 0.560547f, 0.578125f, 0.581543f, 0.583008f, 0.583984f, 0.583984f, + 0.000038f, 0.000035f, 0.000031f, 0.000031f, 0.000030f, 0.000031f, 0.000031f, 0.000030f, + 0.000030f, 0.000028f, 0.000029f, 0.000030f, 0.000029f, 0.000028f, 0.000029f, 0.000029f, + 0.000029f, 0.000029f, 0.000029f, 0.000028f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, + 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, 0.000019f, 0.000022f, + 0.000023f, 0.000027f, 0.000031f, 0.000035f, 0.000037f, 0.000039f, 0.000039f, 0.000043f, + 0.000049f, 0.000052f, 0.000056f, 0.000050f, 0.000068f, 0.000062f, 0.000070f, 0.000087f, + 0.000094f, 0.000107f, 0.000122f, 0.000140f, 0.000191f, 0.000247f, 0.000388f, 0.000710f, + 0.001781f, 0.007076f, 0.535156f, 0.553223f, 0.556152f, 0.558105f, 0.559082f, 0.559082f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000003f, 0.000003f, 0.000005f, 0.000006f, 0.000007f, 0.000007f, 0.000009f, + 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, + 0.000012f, 0.000013f, 0.000013f, 0.000013f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, + 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000009f, + 0.000009f, 0.000010f, 0.000011f, 0.000015f, 0.000017f, 0.000016f, 0.000018f, 0.000021f, + 0.000020f, 0.000024f, 0.000024f, 0.000032f, 0.000035f, 0.000045f, 0.000065f, 0.000105f, + 0.000246f, 0.001313f, 0.508789f, 0.527344f, 0.530762f, 0.531738f, 0.532715f, 0.533691f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, + 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, + 0.000005f, 0.000018f, 0.481934f, 0.500977f, 0.504883f, 0.505859f, 0.507324f, 0.507812f, + }, + { + 0.053833f, 0.152832f, 0.239014f, 0.313477f, 0.377686f, 0.433838f, 0.481689f, 0.524414f, + 0.562988f, 0.596680f, 0.626953f, 0.654785f, 0.678711f, 0.700684f, 0.720703f, 0.739746f, + 0.755859f, 0.771973f, 0.787109f, 0.798828f, 0.812012f, 0.823730f, 0.833984f, 0.844238f, + 0.853027f, 0.862793f, 0.870605f, 0.878418f, 0.885254f, 0.892090f, 0.898926f, 0.904297f, + 0.910645f, 0.916504f, 0.921875f, 0.926270f, 0.931641f, 0.936035f, 0.939941f, 0.944336f, + 0.948242f, 0.952148f, 0.955566f, 0.959961f, 0.962402f, 0.966309f, 0.969238f, 0.972168f, + 0.975098f, 0.978027f, 0.980957f, 0.983398f, 0.985840f, 0.988281f, 0.990723f, 0.992676f, + 0.995117f, 0.996582f, 0.998047f, 0.995117f, 0.993164f, 0.990723f, 0.988770f, 0.986816f, + 0.036804f, 0.109497f, 0.178589f, 0.244751f, 0.305908f, 0.361084f, 0.411621f, 0.457275f, + 0.498535f, 0.536133f, 0.569824f, 0.601562f, 0.629883f, 0.655273f, 0.679688f, 0.700195f, + 0.720215f, 0.737793f, 0.755859f, 0.770508f, 0.785645f, 0.798340f, 0.811035f, 0.822754f, + 0.833008f, 0.843750f, 0.852539f, 0.861328f, 0.869629f, 0.877441f, 0.885742f, 0.892578f, + 0.898926f, 0.905273f, 0.911133f, 0.916504f, 0.921875f, 0.926758f, 0.931641f, 0.936523f, + 0.940430f, 0.945312f, 0.949219f, 0.953613f, 0.956543f, 0.960449f, 0.963867f, 0.967285f, + 0.970703f, 0.973633f, 0.976562f, 0.979004f, 0.981934f, 0.984375f, 0.986816f, 0.989746f, + 0.992188f, 0.994141f, 0.996582f, 0.994141f, 0.992188f, 0.990234f, 0.988281f, 0.986328f, + 0.025787f, 0.080383f, 0.136230f, 0.191650f, 0.245239f, 0.297119f, 0.345947f, 0.392822f, + 0.436035f, 0.476807f, 0.513184f, 0.547363f, 0.578125f, 0.607910f, 0.634766f, 0.658203f, + 0.681152f, 0.702637f, 0.721191f, 0.738770f, 0.755371f, 0.770508f, 0.784668f, 0.798828f, + 0.810547f, 0.821777f, 0.833984f, 0.843262f, 0.852539f, 0.861816f, 0.869629f, 0.877930f, + 0.885254f, 0.893555f, 0.898926f, 0.906250f, 0.911621f, 0.917969f, 0.923340f, 0.928223f, + 0.933105f, 0.937500f, 0.941406f, 0.946289f, 0.950195f, 0.954102f, 0.958496f, 0.961914f, + 0.965820f, 0.968750f, 0.971680f, 0.975098f, 0.978027f, 0.980469f, 0.983887f, 0.985840f, + 0.988770f, 0.991211f, 0.995117f, 0.993164f, 0.991211f, 0.989258f, 0.987305f, 0.985352f, + 0.019455f, 0.060944f, 0.104553f, 0.150513f, 0.196411f, 0.243164f, 0.289062f, 0.333740f, + 0.376709f, 0.417725f, 0.454346f, 0.491211f, 0.524414f, 0.556641f, 0.585938f, 0.613770f, + 0.639160f, 0.662598f, 0.682617f, 0.703613f, 0.723633f, 0.740723f, 0.756836f, 0.771973f, + 0.787109f, 0.798828f, 0.812012f, 0.823242f, 0.833984f, 0.844238f, 0.853516f, 0.863281f, + 0.871094f, 0.879395f, 0.886719f, 0.893555f, 0.899902f, 0.907227f, 0.913086f, 0.918945f, + 0.924805f, 0.928711f, 0.934082f, 0.938965f, 0.943848f, 0.947754f, 0.952637f, 0.955566f, + 0.959961f, 0.963867f, 0.966797f, 0.970215f, 0.973633f, 0.977051f, 0.979004f, 0.982422f, + 0.985840f, 0.987793f, 0.993652f, 0.991699f, 0.989746f, 0.988281f, 0.986328f, 0.984375f, + 0.015221f, 0.047363f, 0.082092f, 0.119202f, 0.159058f, 0.199219f, 0.239380f, 0.280762f, + 0.321533f, 0.362061f, 0.400146f, 0.436768f, 0.472900f, 0.504883f, 0.536621f, 0.566406f, + 0.594238f, 0.621094f, 0.645508f, 0.667969f, 0.688477f, 0.707520f, 0.726562f, 0.742676f, + 0.759277f, 0.773926f, 0.787598f, 0.800781f, 0.812988f, 0.825195f, 0.835938f, 0.846191f, + 0.856445f, 0.865234f, 0.872559f, 0.880859f, 0.888672f, 0.895020f, 0.902832f, 0.908203f, + 0.914551f, 0.919922f, 0.926758f, 0.931152f, 0.937012f, 0.941406f, 0.945312f, 0.949707f, + 0.954102f, 0.958496f, 0.962402f, 0.965820f, 0.969238f, 0.972168f, 0.976074f, 0.978516f, + 0.981934f, 0.984863f, 0.992188f, 0.990723f, 0.988770f, 0.987305f, 0.985352f, 0.983887f, + 0.011658f, 0.037170f, 0.065430f, 0.096008f, 0.128784f, 0.162842f, 0.198975f, 0.235596f, + 0.273926f, 0.310791f, 0.348145f, 0.385010f, 0.420410f, 0.454834f, 0.488037f, 0.519043f, + 0.548828f, 0.577148f, 0.603516f, 0.627441f, 0.650879f, 0.672363f, 0.693848f, 0.712402f, + 0.729980f, 0.748535f, 0.762207f, 0.778809f, 0.791504f, 0.804199f, 0.815918f, 0.827637f, + 0.838867f, 0.848145f, 0.857910f, 0.866211f, 0.875977f, 0.883301f, 0.891602f, 0.898438f, + 0.905273f, 0.911133f, 0.917480f, 0.923340f, 0.928711f, 0.933594f, 0.938477f, 0.942871f, + 0.948242f, 0.952637f, 0.956543f, 0.960449f, 0.964355f, 0.968262f, 0.971191f, 0.974609f, + 0.978027f, 0.980957f, 0.990723f, 0.989258f, 0.987793f, 0.985840f, 0.984375f, 0.983398f, + 0.009758f, 0.030121f, 0.052490f, 0.077576f, 0.104309f, 0.134277f, 0.164917f, 0.197510f, + 0.231812f, 0.266113f, 0.301025f, 0.336426f, 0.372070f, 0.405762f, 0.438721f, 0.471436f, + 0.502441f, 0.531738f, 0.560059f, 0.587402f, 0.612793f, 0.634766f, 0.658691f, 0.679199f, + 0.699219f, 0.718262f, 0.735352f, 0.751953f, 0.767090f, 0.780762f, 0.794922f, 0.808105f, + 0.820801f, 0.831055f, 0.842285f, 0.851562f, 0.861328f, 0.870117f, 0.878906f, 0.886719f, + 0.893555f, 0.900879f, 0.907715f, 0.913574f, 0.919434f, 0.926270f, 0.932129f, 0.936523f, + 0.941895f, 0.945801f, 0.951172f, 0.955078f, 0.959473f, 0.963867f, 0.966797f, 0.970703f, + 0.974121f, 0.977539f, 0.989746f, 0.988281f, 0.986328f, 0.984863f, 0.983398f, 0.982422f, + 0.007744f, 0.024567f, 0.043365f, 0.063782f, 0.086487f, 0.111389f, 0.137451f, 0.166260f, + 0.195435f, 0.226929f, 0.259033f, 0.291748f, 0.324951f, 0.358398f, 0.391113f, 0.424316f, + 0.456299f, 0.486328f, 0.516113f, 0.543945f, 0.571289f, 0.597656f, 0.621094f, 0.644531f, + 0.666504f, 0.686523f, 0.705078f, 0.724121f, 0.741211f, 0.757324f, 0.773438f, 0.786621f, + 0.801270f, 0.812988f, 0.823730f, 0.835938f, 0.846191f, 0.855957f, 0.865723f, 0.873047f, + 0.882324f, 0.889648f, 0.897949f, 0.905762f, 0.911133f, 0.917969f, 0.923828f, 0.929199f, + 0.934082f, 0.940430f, 0.944824f, 0.949707f, 0.954102f, 0.958008f, 0.962891f, 0.966309f, + 0.970215f, 0.974121f, 0.987793f, 0.986816f, 0.985352f, 0.983887f, 0.981934f, 0.980469f, + 0.006672f, 0.020828f, 0.035950f, 0.053345f, 0.071594f, 0.092834f, 0.114624f, 0.139282f, + 0.165649f, 0.192627f, 0.222290f, 0.252197f, 0.283203f, 0.314941f, 0.346680f, 0.377930f, + 0.409668f, 0.441650f, 0.471680f, 0.500977f, 0.529297f, 0.557129f, 0.583008f, 0.607422f, + 0.630859f, 0.654297f, 0.674805f, 0.694824f, 0.713867f, 0.731445f, 0.748535f, 0.763672f, + 0.778320f, 0.791992f, 0.805664f, 0.817871f, 0.829590f, 0.840332f, 0.850098f, 0.860352f, + 0.869141f, 0.878906f, 0.886719f, 0.894043f, 0.901855f, 0.909180f, 0.915527f, 0.920898f, + 0.927246f, 0.933105f, 0.938477f, 0.943848f, 0.948730f, 0.953125f, 0.957520f, 0.961914f, + 0.965820f, 0.970215f, 0.985840f, 0.985352f, 0.983887f, 0.981934f, 0.980957f, 0.979492f, + 0.005592f, 0.017181f, 0.030457f, 0.044739f, 0.060638f, 0.077454f, 0.097046f, 0.117981f, + 0.140625f, 0.164673f, 0.190552f, 0.217896f, 0.246582f, 0.275635f, 0.305176f, 0.336426f, + 0.366943f, 0.397949f, 0.428711f, 0.457764f, 0.487061f, 0.515137f, 0.542480f, 0.568848f, + 0.593750f, 0.619141f, 0.641602f, 0.662598f, 0.683594f, 0.703613f, 0.721191f, 0.738281f, + 0.755859f, 0.770996f, 0.784180f, 0.799316f, 0.811035f, 0.823730f, 0.833984f, 0.845703f, + 0.855957f, 0.865234f, 0.875000f, 0.883301f, 0.891602f, 0.898926f, 0.906738f, 0.912598f, + 0.919922f, 0.926270f, 0.931152f, 0.937988f, 0.942871f, 0.948242f, 0.952148f, 0.957520f, + 0.961914f, 0.966309f, 0.984375f, 0.983398f, 0.982422f, 0.981445f, 0.979492f, 0.978027f, + 0.004829f, 0.014816f, 0.025711f, 0.037964f, 0.051300f, 0.065796f, 0.082458f, 0.100037f, + 0.120178f, 0.141357f, 0.163330f, 0.187622f, 0.213013f, 0.240601f, 0.268311f, 0.296387f, + 0.325928f, 0.356445f, 0.385742f, 0.415771f, 0.445557f, 0.474121f, 0.501465f, 0.530762f, + 0.556152f, 0.581543f, 0.606445f, 0.630859f, 0.651855f, 0.672852f, 0.693359f, 0.712402f, + 0.730469f, 0.746582f, 0.762695f, 0.777832f, 0.791992f, 0.806152f, 0.818359f, 0.830566f, + 0.840820f, 0.852051f, 0.862305f, 0.871094f, 0.880371f, 0.888184f, 0.896484f, 0.904297f, + 0.910645f, 0.917969f, 0.924316f, 0.931152f, 0.936035f, 0.942383f, 0.947266f, 0.951660f, + 0.957031f, 0.960938f, 0.982422f, 0.982422f, 0.981445f, 0.979492f, 0.978516f, 0.977051f, + 0.004040f, 0.012436f, 0.022064f, 0.032440f, 0.044006f, 0.056549f, 0.070068f, 0.085999f, + 0.102539f, 0.120239f, 0.140625f, 0.161621f, 0.184448f, 0.208496f, 0.234253f, 0.260742f, + 0.288086f, 0.316406f, 0.345215f, 0.374512f, 0.404297f, 0.433350f, 0.462402f, 0.490234f, + 0.518066f, 0.543945f, 0.570312f, 0.594727f, 0.618652f, 0.642090f, 0.663086f, 0.683594f, + 0.703613f, 0.721680f, 0.739258f, 0.755859f, 0.772461f, 0.786621f, 0.798828f, 0.812500f, + 0.825195f, 0.836914f, 0.848633f, 0.858887f, 0.869141f, 0.877441f, 0.886230f, 0.894531f, + 0.902832f, 0.909668f, 0.916992f, 0.923340f, 0.929688f, 0.935547f, 0.941406f, 0.947266f, + 0.951660f, 0.957031f, 0.980469f, 0.980469f, 0.979492f, 0.978516f, 0.977051f, 0.976074f, + 0.003536f, 0.010872f, 0.018829f, 0.027893f, 0.037872f, 0.048492f, 0.060883f, 0.073425f, + 0.088074f, 0.103638f, 0.120789f, 0.139038f, 0.159912f, 0.181274f, 0.204102f, 0.227905f, + 0.253906f, 0.280518f, 0.307861f, 0.335938f, 0.364746f, 0.393311f, 0.421631f, 0.451416f, + 0.479004f, 0.505859f, 0.533203f, 0.560059f, 0.584473f, 0.608398f, 0.631836f, 0.653320f, + 0.674805f, 0.695801f, 0.714355f, 0.731934f, 0.749512f, 0.765137f, 0.781250f, 0.794434f, + 0.808594f, 0.821289f, 0.833496f, 0.844238f, 0.855469f, 0.866211f, 0.875000f, 0.883789f, + 0.892578f, 0.901855f, 0.908691f, 0.915527f, 0.922852f, 0.929199f, 0.935059f, 0.941406f, + 0.947266f, 0.951172f, 0.978516f, 0.979004f, 0.978027f, 0.977051f, 0.975586f, 0.974121f, + 0.002989f, 0.009476f, 0.016785f, 0.024246f, 0.032745f, 0.041809f, 0.052246f, 0.063782f, + 0.076111f, 0.089722f, 0.104675f, 0.120605f, 0.138306f, 0.157959f, 0.178101f, 0.200073f, + 0.223145f, 0.247192f, 0.273193f, 0.300293f, 0.327148f, 0.354736f, 0.383545f, 0.411621f, + 0.439941f, 0.468018f, 0.495605f, 0.522949f, 0.548828f, 0.574219f, 0.598145f, 0.622559f, + 0.645508f, 0.666016f, 0.687500f, 0.706543f, 0.725586f, 0.743164f, 0.759766f, 0.775391f, + 0.791016f, 0.803711f, 0.817871f, 0.829590f, 0.841797f, 0.852539f, 0.863281f, 0.873047f, + 0.882812f, 0.891113f, 0.900391f, 0.906738f, 0.915039f, 0.922852f, 0.929688f, 0.936035f, + 0.941895f, 0.946777f, 0.976074f, 0.977051f, 0.976074f, 0.975586f, 0.974121f, 0.972656f, + 0.002846f, 0.008568f, 0.014557f, 0.021484f, 0.028442f, 0.036377f, 0.045074f, 0.055054f, + 0.066101f, 0.077759f, 0.090759f, 0.104797f, 0.120483f, 0.136719f, 0.155029f, 0.175171f, + 0.196045f, 0.218262f, 0.241943f, 0.266357f, 0.292480f, 0.319336f, 0.345703f, 0.373535f, + 0.402100f, 0.429932f, 0.457764f, 0.484863f, 0.512207f, 0.539062f, 0.564941f, 0.589844f, + 0.613281f, 0.636719f, 0.659180f, 0.680664f, 0.700684f, 0.718750f, 0.736816f, 0.754883f, + 0.770508f, 0.785645f, 0.799805f, 0.813965f, 0.826172f, 0.838867f, 0.850586f, 0.861328f, + 0.871582f, 0.881836f, 0.890625f, 0.898926f, 0.906738f, 0.915039f, 0.922363f, 0.928711f, + 0.936035f, 0.941895f, 0.974609f, 0.975098f, 0.974609f, 0.973633f, 0.972656f, 0.971191f, + 0.002285f, 0.007290f, 0.012634f, 0.018280f, 0.024918f, 0.032074f, 0.039673f, 0.048157f, + 0.057220f, 0.067810f, 0.078735f, 0.091248f, 0.104370f, 0.119873f, 0.135742f, 0.152344f, + 0.171631f, 0.191650f, 0.213501f, 0.236206f, 0.260010f, 0.285156f, 0.310547f, 0.338135f, + 0.364746f, 0.392578f, 0.420410f, 0.448242f, 0.476562f, 0.502441f, 0.529785f, 0.555664f, + 0.581543f, 0.605469f, 0.629395f, 0.652344f, 0.673340f, 0.693848f, 0.713867f, 0.732910f, + 0.750000f, 0.767090f, 0.782715f, 0.797852f, 0.811035f, 0.825195f, 0.836914f, 0.848633f, + 0.860840f, 0.870605f, 0.880371f, 0.890137f, 0.898926f, 0.907227f, 0.915527f, 0.923340f, + 0.929688f, 0.936523f, 0.972168f, 0.973145f, 0.972656f, 0.972168f, 0.970703f, 0.969727f, + 0.002064f, 0.006584f, 0.011154f, 0.016266f, 0.022263f, 0.028397f, 0.034973f, 0.042145f, + 0.050232f, 0.059235f, 0.069031f, 0.079346f, 0.091736f, 0.104553f, 0.118652f, 0.133789f, + 0.150635f, 0.168457f, 0.188110f, 0.208984f, 0.230225f, 0.253906f, 0.278076f, 0.303955f, + 0.329346f, 0.356689f, 0.384033f, 0.411865f, 0.439941f, 0.467285f, 0.493896f, 0.520996f, + 0.547363f, 0.573730f, 0.597168f, 0.622559f, 0.645508f, 0.667969f, 0.688965f, 0.709473f, + 0.728027f, 0.746094f, 0.762695f, 0.778809f, 0.794922f, 0.809082f, 0.822754f, 0.834961f, + 0.847168f, 0.858887f, 0.870117f, 0.880371f, 0.889648f, 0.898926f, 0.907227f, 0.915039f, + 0.923828f, 0.930176f, 0.970215f, 0.971680f, 0.970215f, 0.970215f, 0.968750f, 0.968262f, + 0.001935f, 0.005634f, 0.010078f, 0.014389f, 0.019669f, 0.024658f, 0.030716f, 0.037201f, + 0.044098f, 0.051941f, 0.060333f, 0.070129f, 0.080383f, 0.091370f, 0.103638f, 0.116943f, + 0.131714f, 0.148193f, 0.165161f, 0.183838f, 0.203979f, 0.225220f, 0.247803f, 0.271240f, + 0.296631f, 0.322510f, 0.349121f, 0.376221f, 0.403076f, 0.431152f, 0.458984f, 0.485596f, + 0.513672f, 0.540039f, 0.564941f, 0.590820f, 0.616211f, 0.638672f, 0.662109f, 0.683105f, + 0.704102f, 0.723633f, 0.741699f, 0.759766f, 0.776855f, 0.792480f, 0.807617f, 0.821777f, + 0.833496f, 0.847168f, 0.858887f, 0.870117f, 0.880859f, 0.889648f, 0.899414f, 0.908203f, + 0.916992f, 0.924316f, 0.967285f, 0.968262f, 0.968750f, 0.968262f, 0.967285f, 0.966309f, + 0.001805f, 0.005119f, 0.009079f, 0.013023f, 0.017487f, 0.022278f, 0.027130f, 0.032684f, + 0.038666f, 0.045959f, 0.052826f, 0.061401f, 0.070801f, 0.080139f, 0.090698f, 0.102844f, + 0.115845f, 0.130005f, 0.145264f, 0.162476f, 0.180176f, 0.199951f, 0.220459f, 0.242188f, + 0.265869f, 0.290283f, 0.315430f, 0.341309f, 0.368652f, 0.395752f, 0.423584f, 0.451416f, + 0.479248f, 0.505859f, 0.532227f, 0.559082f, 0.584961f, 0.609863f, 0.634277f, 0.656738f, + 0.678711f, 0.700195f, 0.720703f, 0.738281f, 0.757324f, 0.774414f, 0.790527f, 0.805664f, + 0.820312f, 0.834473f, 0.846680f, 0.858887f, 0.869629f, 0.880859f, 0.890625f, 0.899902f, + 0.909668f, 0.917969f, 0.964844f, 0.966797f, 0.967285f, 0.965820f, 0.964844f, 0.963867f, + 0.001437f, 0.004662f, 0.007919f, 0.011681f, 0.015404f, 0.019272f, 0.024261f, 0.029205f, + 0.034515f, 0.040619f, 0.046967f, 0.054138f, 0.061737f, 0.070496f, 0.080200f, 0.090271f, + 0.101807f, 0.114136f, 0.127686f, 0.143188f, 0.159058f, 0.176514f, 0.195190f, 0.215454f, + 0.237305f, 0.260010f, 0.283936f, 0.309326f, 0.334717f, 0.361328f, 0.389160f, 0.416260f, + 0.444336f, 0.471436f, 0.499512f, 0.525879f, 0.552734f, 0.579590f, 0.604004f, 0.628906f, + 0.651855f, 0.674805f, 0.696777f, 0.717773f, 0.737305f, 0.755859f, 0.772949f, 0.789551f, + 0.805664f, 0.819336f, 0.833984f, 0.847168f, 0.859375f, 0.871094f, 0.881836f, 0.892090f, + 0.902344f, 0.910156f, 0.962402f, 0.964355f, 0.964355f, 0.963867f, 0.962891f, 0.961914f, + 0.001264f, 0.004036f, 0.007088f, 0.010170f, 0.013672f, 0.017365f, 0.021423f, 0.025955f, + 0.030533f, 0.035614f, 0.041321f, 0.047791f, 0.054626f, 0.062195f, 0.070679f, 0.080017f, + 0.089600f, 0.100769f, 0.112854f, 0.125977f, 0.139893f, 0.156128f, 0.172852f, 0.191650f, + 0.211060f, 0.232056f, 0.254883f, 0.278076f, 0.302979f, 0.328125f, 0.355225f, 0.381836f, + 0.409912f, 0.437256f, 0.464844f, 0.492676f, 0.520508f, 0.547852f, 0.573242f, 0.599609f, + 0.625000f, 0.649414f, 0.672363f, 0.694336f, 0.714844f, 0.734863f, 0.753418f, 0.771484f, + 0.788574f, 0.804688f, 0.820312f, 0.833496f, 0.847656f, 0.859863f, 0.873047f, 0.883301f, + 0.894043f, 0.903809f, 0.959961f, 0.961914f, 0.962402f, 0.960938f, 0.960449f, 0.959961f, + 0.001297f, 0.003721f, 0.006397f, 0.009308f, 0.012260f, 0.015808f, 0.019302f, 0.023010f, + 0.027267f, 0.032013f, 0.037109f, 0.042419f, 0.048523f, 0.054962f, 0.061920f, 0.070435f, + 0.079407f, 0.088318f, 0.099121f, 0.111084f, 0.124023f, 0.137695f, 0.152832f, 0.169434f, + 0.187378f, 0.206421f, 0.227783f, 0.249268f, 0.272461f, 0.297363f, 0.322754f, 0.348389f, + 0.376221f, 0.403809f, 0.431396f, 0.459229f, 0.487305f, 0.515137f, 0.542480f, 0.569336f, + 0.595215f, 0.621094f, 0.645996f, 0.669434f, 0.691406f, 0.712891f, 0.733887f, 0.753418f, + 0.770996f, 0.789062f, 0.805176f, 0.820801f, 0.835449f, 0.849121f, 0.861328f, 0.874512f, + 0.885742f, 0.895508f, 0.956543f, 0.959473f, 0.958984f, 0.958984f, 0.958008f, 0.957031f, + 0.001267f, 0.003481f, 0.005955f, 0.008568f, 0.011185f, 0.014030f, 0.017151f, 0.020294f, + 0.024246f, 0.028427f, 0.032654f, 0.037476f, 0.042603f, 0.048523f, 0.054871f, 0.062408f, + 0.070129f, 0.078552f, 0.087769f, 0.097534f, 0.109192f, 0.121399f, 0.135010f, 0.150513f, + 0.165894f, 0.183960f, 0.202881f, 0.222656f, 0.244385f, 0.267334f, 0.291260f, 0.317139f, + 0.343506f, 0.370605f, 0.397949f, 0.426025f, 0.454346f, 0.482666f, 0.511230f, 0.538086f, + 0.565918f, 0.592285f, 0.618164f, 0.642578f, 0.667480f, 0.690918f, 0.711914f, 0.732910f, + 0.752930f, 0.771484f, 0.790039f, 0.806641f, 0.821777f, 0.837402f, 0.850586f, 0.864746f, + 0.875977f, 0.887695f, 0.953613f, 0.956543f, 0.957031f, 0.956055f, 0.956055f, 0.955078f, + 0.001068f, 0.003025f, 0.005283f, 0.007442f, 0.009857f, 0.012665f, 0.015930f, 0.018570f, + 0.021820f, 0.025314f, 0.028931f, 0.033325f, 0.038147f, 0.042908f, 0.049011f, 0.055176f, + 0.061859f, 0.069397f, 0.077637f, 0.086792f, 0.096252f, 0.107117f, 0.119385f, 0.132690f, + 0.147095f, 0.162720f, 0.180054f, 0.198486f, 0.218384f, 0.239990f, 0.262207f, 0.287109f, + 0.311523f, 0.337891f, 0.364990f, 0.392822f, 0.420654f, 0.449219f, 0.478027f, 0.505859f, + 0.535156f, 0.562012f, 0.588867f, 0.615723f, 0.641602f, 0.666016f, 0.688965f, 0.711914f, + 0.732910f, 0.753906f, 0.773438f, 0.791016f, 0.808594f, 0.823730f, 0.839355f, 0.854004f, + 0.867188f, 0.879883f, 0.950195f, 0.954102f, 0.954102f, 0.953125f, 0.952637f, 0.952148f, + 0.000884f, 0.003082f, 0.004631f, 0.006931f, 0.008942f, 0.011513f, 0.013779f, 0.016663f, + 0.019806f, 0.022934f, 0.026215f, 0.029999f, 0.033813f, 0.038544f, 0.043365f, 0.048615f, + 0.054352f, 0.061005f, 0.068420f, 0.076477f, 0.085022f, 0.095032f, 0.105469f, 0.117432f, + 0.130127f, 0.143799f, 0.159790f, 0.176270f, 0.194580f, 0.214478f, 0.235229f, 0.257568f, + 0.281982f, 0.306641f, 0.332764f, 0.359863f, 0.388184f, 0.416016f, 0.445557f, 0.474854f, + 0.502441f, 0.531738f, 0.559570f, 0.586914f, 0.614258f, 0.640625f, 0.665039f, 0.689453f, + 0.712891f, 0.734863f, 0.755371f, 0.774902f, 0.793945f, 0.810547f, 0.827637f, 0.842773f, + 0.857910f, 0.871094f, 0.946777f, 0.950684f, 0.951172f, 0.950684f, 0.949707f, 0.949707f, + 0.000848f, 0.002630f, 0.004330f, 0.006386f, 0.008148f, 0.010437f, 0.012436f, 0.014977f, + 0.017731f, 0.020645f, 0.023529f, 0.026413f, 0.030289f, 0.034302f, 0.038391f, 0.043365f, + 0.048737f, 0.054413f, 0.060455f, 0.067383f, 0.075134f, 0.083801f, 0.093262f, 0.103821f, + 0.114746f, 0.127441f, 0.140991f, 0.156372f, 0.172729f, 0.190918f, 0.210449f, 0.231201f, + 0.253662f, 0.277344f, 0.302734f, 0.328857f, 0.355225f, 0.384033f, 0.413086f, 0.440918f, + 0.471191f, 0.500488f, 0.529785f, 0.558594f, 0.586426f, 0.613770f, 0.640137f, 0.666016f, + 0.689453f, 0.714355f, 0.736328f, 0.757812f, 0.777832f, 0.796875f, 0.813965f, 0.831543f, + 0.847168f, 0.860840f, 0.943848f, 0.948242f, 0.947754f, 0.948242f, 0.946777f, 0.946777f, + 0.000747f, 0.002462f, 0.004192f, 0.005573f, 0.007454f, 0.009430f, 0.011253f, 0.013588f, + 0.015762f, 0.018112f, 0.020859f, 0.023758f, 0.027084f, 0.030426f, 0.034332f, 0.038635f, + 0.042999f, 0.048340f, 0.053772f, 0.060028f, 0.066589f, 0.074402f, 0.082764f, 0.091553f, + 0.101685f, 0.112854f, 0.125122f, 0.138184f, 0.153320f, 0.169556f, 0.187500f, 0.206543f, + 0.227539f, 0.249512f, 0.273193f, 0.298340f, 0.324463f, 0.351562f, 0.379883f, 0.409424f, + 0.438477f, 0.468750f, 0.498047f, 0.527832f, 0.556641f, 0.585449f, 0.614258f, 0.641113f, + 0.666992f, 0.692383f, 0.716309f, 0.738281f, 0.760742f, 0.780273f, 0.799805f, 0.818848f, + 0.834473f, 0.851074f, 0.939941f, 0.944824f, 0.944336f, 0.944336f, 0.944336f, 0.943359f, + 0.000670f, 0.002079f, 0.003538f, 0.005146f, 0.006508f, 0.008247f, 0.010223f, 0.012260f, + 0.014153f, 0.016479f, 0.018677f, 0.021515f, 0.024323f, 0.027313f, 0.030518f, 0.034302f, + 0.038422f, 0.042725f, 0.047760f, 0.053101f, 0.059113f, 0.065613f, 0.072937f, 0.080444f, + 0.089722f, 0.099426f, 0.110596f, 0.122314f, 0.135742f, 0.150513f, 0.166260f, 0.183716f, + 0.202759f, 0.223633f, 0.245728f, 0.269287f, 0.294189f, 0.320557f, 0.348633f, 0.376709f, + 0.406494f, 0.436523f, 0.467285f, 0.497070f, 0.528320f, 0.557129f, 0.586426f, 0.614746f, + 0.642090f, 0.668945f, 0.694824f, 0.718750f, 0.742676f, 0.764648f, 0.786133f, 0.805176f, + 0.823242f, 0.840820f, 0.936035f, 0.940918f, 0.941406f, 0.941406f, 0.940430f, 0.939941f, + 0.000645f, 0.001963f, 0.003384f, 0.004719f, 0.006042f, 0.007614f, 0.009384f, 0.011192f, + 0.012665f, 0.015083f, 0.016861f, 0.019165f, 0.021393f, 0.024445f, 0.027451f, 0.030716f, + 0.034149f, 0.038116f, 0.042389f, 0.047028f, 0.052277f, 0.058014f, 0.064270f, 0.071289f, + 0.079041f, 0.087830f, 0.097351f, 0.108337f, 0.119995f, 0.132812f, 0.147217f, 0.163452f, + 0.180420f, 0.199585f, 0.219849f, 0.242065f, 0.265625f, 0.291260f, 0.318115f, 0.345703f, + 0.375000f, 0.404541f, 0.434326f, 0.465820f, 0.496582f, 0.526855f, 0.557617f, 0.587402f, + 0.616699f, 0.645508f, 0.672363f, 0.698242f, 0.723145f, 0.747559f, 0.770020f, 0.791504f, + 0.810059f, 0.828613f, 0.931641f, 0.937012f, 0.937500f, 0.937500f, 0.937012f, 0.936523f, + 0.000692f, 0.001705f, 0.003000f, 0.004238f, 0.005798f, 0.006805f, 0.008659f, 0.009933f, + 0.011681f, 0.013191f, 0.015259f, 0.017166f, 0.019379f, 0.021729f, 0.024796f, 0.027328f, + 0.030380f, 0.033661f, 0.037598f, 0.041718f, 0.046539f, 0.051270f, 0.056946f, 0.062988f, + 0.069885f, 0.077271f, 0.085999f, 0.095398f, 0.105652f, 0.117859f, 0.129883f, 0.144409f, + 0.159912f, 0.177002f, 0.196045f, 0.216553f, 0.239014f, 0.262451f, 0.288086f, 0.314941f, + 0.343262f, 0.372314f, 0.403076f, 0.433594f, 0.465332f, 0.496826f, 0.527832f, 0.559082f, + 0.589355f, 0.619629f, 0.648926f, 0.676758f, 0.703125f, 0.728516f, 0.752930f, 0.775391f, + 0.797363f, 0.817871f, 0.927246f, 0.933105f, 0.934082f, 0.933594f, 0.933594f, 0.933105f, + 0.000460f, 0.001622f, 0.002705f, 0.003983f, 0.004925f, 0.006363f, 0.007652f, 0.008965f, + 0.010521f, 0.011963f, 0.013664f, 0.015480f, 0.017258f, 0.019440f, 0.021912f, 0.024338f, + 0.027084f, 0.030212f, 0.033356f, 0.037018f, 0.040833f, 0.045380f, 0.050110f, 0.055573f, + 0.061829f, 0.068359f, 0.075928f, 0.083984f, 0.093140f, 0.103333f, 0.115112f, 0.127441f, + 0.141602f, 0.156982f, 0.174316f, 0.192871f, 0.213257f, 0.235596f, 0.259766f, 0.285400f, + 0.312256f, 0.341797f, 0.371094f, 0.402100f, 0.434082f, 0.465332f, 0.497314f, 0.529297f, + 0.562012f, 0.592773f, 0.623535f, 0.652832f, 0.681641f, 0.709473f, 0.735352f, 0.759766f, + 0.783203f, 0.803711f, 0.922363f, 0.929199f, 0.929688f, 0.929199f, 0.929688f, 0.928711f, + 0.000341f, 0.001686f, 0.002537f, 0.003769f, 0.004745f, 0.005764f, 0.007034f, 0.008286f, + 0.009369f, 0.010742f, 0.012161f, 0.013931f, 0.015671f, 0.017563f, 0.019440f, 0.021851f, + 0.024231f, 0.026672f, 0.029556f, 0.032776f, 0.036255f, 0.040283f, 0.044464f, 0.049194f, + 0.054413f, 0.060059f, 0.066589f, 0.074036f, 0.081909f, 0.091187f, 0.100769f, 0.112000f, + 0.124512f, 0.139038f, 0.154297f, 0.171265f, 0.189819f, 0.210571f, 0.232788f, 0.257324f, + 0.283203f, 0.311035f, 0.339844f, 0.370850f, 0.402100f, 0.433838f, 0.466797f, 0.499268f, + 0.532227f, 0.565430f, 0.598145f, 0.628418f, 0.659180f, 0.687988f, 0.715820f, 0.742188f, + 0.767090f, 0.791504f, 0.917969f, 0.924805f, 0.925293f, 0.925293f, 0.924805f, 0.924805f, + 0.000405f, 0.001282f, 0.002298f, 0.003269f, 0.004448f, 0.005043f, 0.006294f, 0.007233f, + 0.008606f, 0.009727f, 0.010849f, 0.012421f, 0.013885f, 0.015465f, 0.017426f, 0.019394f, + 0.021667f, 0.023819f, 0.026154f, 0.029175f, 0.032227f, 0.035706f, 0.039062f, 0.043427f, + 0.047913f, 0.052856f, 0.058502f, 0.064880f, 0.071960f, 0.079895f, 0.088867f, 0.098633f, + 0.109619f, 0.122192f, 0.135742f, 0.151489f, 0.168457f, 0.187134f, 0.207764f, 0.230835f, + 0.254883f, 0.281494f, 0.310059f, 0.339355f, 0.370361f, 0.402588f, 0.435547f, 0.468994f, + 0.502930f, 0.537109f, 0.569824f, 0.602051f, 0.634766f, 0.665527f, 0.695801f, 0.724121f, + 0.750488f, 0.776855f, 0.912598f, 0.919434f, 0.920410f, 0.920410f, 0.919922f, 0.920410f, + 0.000529f, 0.001217f, 0.002171f, 0.003035f, 0.003790f, 0.004784f, 0.005711f, 0.006756f, + 0.007782f, 0.008987f, 0.009773f, 0.011185f, 0.012650f, 0.013771f, 0.015656f, 0.017181f, + 0.018890f, 0.021057f, 0.023239f, 0.025848f, 0.028488f, 0.031525f, 0.034607f, 0.038147f, + 0.042023f, 0.046539f, 0.051605f, 0.056793f, 0.063049f, 0.069946f, 0.078064f, 0.086548f, + 0.096313f, 0.107117f, 0.119446f, 0.133301f, 0.148560f, 0.165405f, 0.184570f, 0.205811f, + 0.228394f, 0.253174f, 0.280029f, 0.308594f, 0.339111f, 0.370605f, 0.404053f, 0.437988f, + 0.471680f, 0.506348f, 0.541504f, 0.576172f, 0.609375f, 0.642578f, 0.674316f, 0.705078f, + 0.734375f, 0.761719f, 0.907227f, 0.914062f, 0.915527f, 0.915527f, 0.916016f, 0.915039f, + 0.000402f, 0.001247f, 0.001841f, 0.002651f, 0.003414f, 0.004200f, 0.005337f, 0.005821f, + 0.006733f, 0.008041f, 0.008942f, 0.010201f, 0.011261f, 0.012749f, 0.013893f, 0.015472f, + 0.016663f, 0.018829f, 0.020615f, 0.022873f, 0.025299f, 0.027893f, 0.030533f, 0.033600f, + 0.037140f, 0.040924f, 0.044983f, 0.049927f, 0.055359f, 0.061340f, 0.068176f, 0.075500f, + 0.084106f, 0.093933f, 0.104370f, 0.116638f, 0.130249f, 0.145996f, 0.162842f, 0.181885f, + 0.203735f, 0.226562f, 0.251465f, 0.279297f, 0.308594f, 0.339355f, 0.373047f, 0.406982f, + 0.440918f, 0.477051f, 0.511719f, 0.548340f, 0.583496f, 0.618164f, 0.652344f, 0.684570f, + 0.715332f, 0.745605f, 0.901855f, 0.909180f, 0.910156f, 0.910645f, 0.910156f, 0.910156f, + 0.000371f, 0.001090f, 0.001752f, 0.002409f, 0.003042f, 0.003963f, 0.004898f, 0.005295f, + 0.006077f, 0.006992f, 0.008102f, 0.009338f, 0.010101f, 0.011078f, 0.012375f, 0.013718f, + 0.015099f, 0.016403f, 0.018402f, 0.020203f, 0.022354f, 0.024475f, 0.026825f, 0.029388f, + 0.032623f, 0.035522f, 0.039429f, 0.043762f, 0.048462f, 0.053558f, 0.059265f, 0.065552f, + 0.073120f, 0.081787f, 0.091431f, 0.102112f, 0.114136f, 0.127930f, 0.143066f, 0.160767f, + 0.179810f, 0.200928f, 0.224854f, 0.250732f, 0.279053f, 0.308838f, 0.340820f, 0.374756f, + 0.410156f, 0.446045f, 0.482666f, 0.520020f, 0.556152f, 0.593262f, 0.628906f, 0.663574f, + 0.695801f, 0.728027f, 0.895508f, 0.903809f, 0.904297f, 0.904297f, 0.904297f, 0.904785f, + 0.000425f, 0.000937f, 0.001529f, 0.002129f, 0.002674f, 0.003696f, 0.004257f, 0.004990f, + 0.005726f, 0.006161f, 0.007118f, 0.007919f, 0.009109f, 0.009941f, 0.011055f, 0.011993f, + 0.013191f, 0.014832f, 0.016281f, 0.017868f, 0.019562f, 0.021362f, 0.023514f, 0.025909f, + 0.028549f, 0.031189f, 0.034637f, 0.037994f, 0.042145f, 0.046570f, 0.051453f, 0.057129f, + 0.063965f, 0.070984f, 0.079285f, 0.088806f, 0.099426f, 0.111267f, 0.125366f, 0.140747f, + 0.158203f, 0.178101f, 0.199585f, 0.223755f, 0.250732f, 0.279297f, 0.310059f, 0.343994f, + 0.377686f, 0.414307f, 0.451904f, 0.489258f, 0.527832f, 0.565918f, 0.603027f, 0.640137f, + 0.675781f, 0.710449f, 0.888672f, 0.897461f, 0.899902f, 0.900391f, 0.899414f, 0.899414f, + 0.000317f, 0.000823f, 0.001386f, 0.002108f, 0.002684f, 0.003239f, 0.003883f, 0.004303f, + 0.004730f, 0.005569f, 0.006626f, 0.007214f, 0.008003f, 0.008865f, 0.009590f, 0.010948f, + 0.011856f, 0.012871f, 0.014381f, 0.015640f, 0.017075f, 0.018799f, 0.020569f, 0.022537f, + 0.024704f, 0.027405f, 0.030090f, 0.033142f, 0.036346f, 0.040436f, 0.044830f, 0.049835f, + 0.055450f, 0.061584f, 0.068665f, 0.076904f, 0.086060f, 0.096741f, 0.109192f, 0.122559f, + 0.138428f, 0.155762f, 0.176270f, 0.198242f, 0.223145f, 0.250244f, 0.280518f, 0.312500f, + 0.346680f, 0.382324f, 0.420410f, 0.458740f, 0.498779f, 0.538086f, 0.577637f, 0.616211f, + 0.654297f, 0.690918f, 0.881348f, 0.890625f, 0.892578f, 0.893066f, 0.893066f, 0.892578f, + 0.000385f, 0.000766f, 0.001544f, 0.001925f, 0.002359f, 0.002947f, 0.003176f, 0.003691f, + 0.004288f, 0.005215f, 0.005917f, 0.006214f, 0.007019f, 0.007843f, 0.008469f, 0.009598f, + 0.010345f, 0.011559f, 0.012497f, 0.013634f, 0.014992f, 0.016373f, 0.017853f, 0.019608f, + 0.021515f, 0.023788f, 0.026260f, 0.028931f, 0.031860f, 0.034912f, 0.038635f, 0.042633f, + 0.047638f, 0.053070f, 0.059540f, 0.066284f, 0.074524f, 0.083679f, 0.094177f, 0.106445f, + 0.120361f, 0.135620f, 0.154053f, 0.174072f, 0.197144f, 0.222900f, 0.251221f, 0.281982f, + 0.315430f, 0.351318f, 0.388672f, 0.427734f, 0.468506f, 0.508301f, 0.549805f, 0.591309f, + 0.631348f, 0.670410f, 0.874512f, 0.884766f, 0.885742f, 0.886230f, 0.886230f, 0.886230f, + 0.000230f, 0.000832f, 0.001281f, 0.001865f, 0.002207f, 0.002605f, 0.003212f, 0.003284f, + 0.004124f, 0.004597f, 0.005222f, 0.005703f, 0.006260f, 0.007095f, 0.007790f, 0.008377f, + 0.009010f, 0.010078f, 0.011009f, 0.011925f, 0.013153f, 0.014282f, 0.015610f, 0.017151f, + 0.018951f, 0.020416f, 0.022583f, 0.024826f, 0.027328f, 0.030136f, 0.033508f, 0.036835f, + 0.040985f, 0.045410f, 0.050812f, 0.056854f, 0.063965f, 0.071777f, 0.081177f, 0.091858f, + 0.103699f, 0.117615f, 0.133423f, 0.152588f, 0.172974f, 0.196777f, 0.222900f, 0.252686f, + 0.284912f, 0.319824f, 0.356934f, 0.395996f, 0.436768f, 0.478516f, 0.521484f, 0.564453f, + 0.607422f, 0.649414f, 0.866699f, 0.876953f, 0.877930f, 0.879395f, 0.879883f, 0.878418f, + 0.000228f, 0.000734f, 0.000993f, 0.001416f, 0.001935f, 0.002293f, 0.002541f, 0.003174f, + 0.003508f, 0.004040f, 0.004337f, 0.005039f, 0.005505f, 0.006054f, 0.006840f, 0.007366f, + 0.008041f, 0.008644f, 0.009544f, 0.010460f, 0.011238f, 0.012329f, 0.013542f, 0.014755f, + 0.016083f, 0.017624f, 0.019424f, 0.021408f, 0.023422f, 0.025803f, 0.028366f, 0.031311f, + 0.034912f, 0.039124f, 0.043304f, 0.048492f, 0.054291f, 0.061188f, 0.069397f, 0.078552f, + 0.089233f, 0.101074f, 0.115540f, 0.131226f, 0.150757f, 0.172119f, 0.196533f, 0.224243f, + 0.254883f, 0.288574f, 0.324707f, 0.364014f, 0.405029f, 0.447510f, 0.491699f, 0.536133f, + 0.581543f, 0.627441f, 0.858398f, 0.869141f, 0.870605f, 0.871582f, 0.871094f, 0.871582f, + 0.000118f, 0.000713f, 0.000985f, 0.001328f, 0.001612f, 0.001999f, 0.002399f, 0.002913f, + 0.003139f, 0.003567f, 0.004055f, 0.004406f, 0.004986f, 0.005226f, 0.005856f, 0.006332f, + 0.007042f, 0.007553f, 0.008286f, 0.009064f, 0.009834f, 0.010696f, 0.011658f, 0.012726f, + 0.013817f, 0.015289f, 0.016693f, 0.018265f, 0.019699f, 0.021835f, 0.024307f, 0.026642f, + 0.029770f, 0.033234f, 0.037048f, 0.041351f, 0.046478f, 0.052032f, 0.058960f, 0.066589f, + 0.075745f, 0.086182f, 0.099121f, 0.113037f, 0.129517f, 0.149048f, 0.171387f, 0.196899f, + 0.225464f, 0.257812f, 0.293457f, 0.331787f, 0.373291f, 0.416748f, 0.460938f, 0.507812f, + 0.554688f, 0.602051f, 0.849609f, 0.859863f, 0.862793f, 0.863281f, 0.862793f, 0.862793f, + 0.000211f, 0.000522f, 0.000877f, 0.001204f, 0.001507f, 0.001724f, 0.002062f, 0.002426f, + 0.002867f, 0.003157f, 0.003443f, 0.003752f, 0.004192f, 0.004753f, 0.005154f, 0.005428f, + 0.006065f, 0.006546f, 0.007210f, 0.007725f, 0.008530f, 0.009247f, 0.010025f, 0.010887f, + 0.011909f, 0.012970f, 0.014069f, 0.015335f, 0.017105f, 0.018433f, 0.020554f, 0.022552f, + 0.025116f, 0.027802f, 0.031158f, 0.034485f, 0.038971f, 0.044037f, 0.049469f, 0.055847f, + 0.063843f, 0.072815f, 0.083618f, 0.095947f, 0.110840f, 0.128174f, 0.147949f, 0.171387f, + 0.198242f, 0.228271f, 0.262207f, 0.299805f, 0.340332f, 0.384277f, 0.430176f, 0.477295f, + 0.527344f, 0.577637f, 0.839844f, 0.851074f, 0.853516f, 0.854492f, 0.854980f, 0.854980f, + 0.000218f, 0.000479f, 0.000706f, 0.001109f, 0.001245f, 0.001763f, 0.001800f, 0.002211f, + 0.002377f, 0.002783f, 0.003103f, 0.003223f, 0.003782f, 0.004089f, 0.004326f, 0.004711f, + 0.005306f, 0.005569f, 0.006199f, 0.006653f, 0.007168f, 0.007919f, 0.008560f, 0.009254f, + 0.009979f, 0.010872f, 0.012054f, 0.012810f, 0.014221f, 0.015793f, 0.017181f, 0.018967f, + 0.021088f, 0.023361f, 0.026001f, 0.028915f, 0.032257f, 0.036469f, 0.040924f, 0.046875f, + 0.053375f, 0.061218f, 0.070435f, 0.080811f, 0.093628f, 0.108704f, 0.126709f, 0.147461f, + 0.172241f, 0.199951f, 0.232788f, 0.268799f, 0.308594f, 0.351562f, 0.397705f, 0.447266f, + 0.498291f, 0.550293f, 0.830078f, 0.841797f, 0.843750f, 0.845215f, 0.845215f, 0.845703f, + 0.000139f, 0.000379f, 0.000704f, 0.000896f, 0.001095f, 0.001392f, 0.001649f, 0.002058f, + 0.002235f, 0.002483f, 0.002621f, 0.002878f, 0.003214f, 0.003580f, 0.003820f, 0.004055f, + 0.004498f, 0.004791f, 0.005173f, 0.005692f, 0.006145f, 0.006691f, 0.007175f, 0.007874f, + 0.008499f, 0.009239f, 0.010117f, 0.011032f, 0.011864f, 0.012901f, 0.014282f, 0.015701f, + 0.017242f, 0.019516f, 0.021469f, 0.024002f, 0.026749f, 0.029953f, 0.034027f, 0.038727f, + 0.044250f, 0.050568f, 0.058136f, 0.067139f, 0.078247f, 0.091614f, 0.106689f, 0.125366f, + 0.147339f, 0.172974f, 0.202881f, 0.237671f, 0.275879f, 0.318359f, 0.365234f, 0.415283f, + 0.468018f, 0.521973f, 0.819336f, 0.832031f, 0.834473f, 0.834961f, 0.835449f, 0.835938f, + 0.000115f, 0.000396f, 0.000688f, 0.000885f, 0.000917f, 0.001393f, 0.001478f, 0.001590f, + 0.001944f, 0.002123f, 0.002291f, 0.002644f, 0.002666f, 0.003023f, 0.003197f, 0.003546f, + 0.003714f, 0.004246f, 0.004551f, 0.004837f, 0.005108f, 0.005577f, 0.006054f, 0.006504f, + 0.007023f, 0.007633f, 0.008362f, 0.009148f, 0.009926f, 0.010742f, 0.011917f, 0.013062f, + 0.014351f, 0.015991f, 0.017639f, 0.019455f, 0.021729f, 0.024689f, 0.027740f, 0.031708f, + 0.036102f, 0.041260f, 0.047882f, 0.055450f, 0.064392f, 0.075500f, 0.088928f, 0.104797f, + 0.124756f, 0.147949f, 0.175415f, 0.207275f, 0.244507f, 0.286133f, 0.332520f, 0.381836f, + 0.436279f, 0.492432f, 0.808105f, 0.821289f, 0.822754f, 0.824707f, 0.825195f, 0.824219f, + 0.000209f, 0.000435f, 0.000493f, 0.000669f, 0.001040f, 0.001076f, 0.001254f, 0.001398f, + 0.001603f, 0.001697f, 0.001987f, 0.002140f, 0.002268f, 0.002472f, 0.002769f, 0.002991f, + 0.003302f, 0.003572f, 0.003685f, 0.004002f, 0.004337f, 0.004654f, 0.005062f, 0.005379f, + 0.005871f, 0.006363f, 0.006733f, 0.007416f, 0.008102f, 0.008812f, 0.009727f, 0.010689f, + 0.011566f, 0.013145f, 0.014053f, 0.015762f, 0.017899f, 0.020096f, 0.022552f, 0.025528f, + 0.028992f, 0.033325f, 0.038635f, 0.044952f, 0.052582f, 0.061554f, 0.072998f, 0.086670f, + 0.103577f, 0.124329f, 0.148804f, 0.178467f, 0.213501f, 0.253174f, 0.298828f, 0.348877f, + 0.403076f, 0.461914f, 0.795898f, 0.809570f, 0.812012f, 0.813477f, 0.813477f, 0.814453f, + 0.000243f, 0.000322f, 0.000466f, 0.000710f, 0.000863f, 0.000942f, 0.001051f, 0.001182f, + 0.001369f, 0.001451f, 0.001716f, 0.001851f, 0.001968f, 0.002192f, 0.002323f, 0.002470f, + 0.002773f, 0.002850f, 0.003056f, 0.003399f, 0.003624f, 0.003832f, 0.004192f, 0.004467f, + 0.004955f, 0.005276f, 0.005772f, 0.006084f, 0.006672f, 0.007191f, 0.007828f, 0.008720f, + 0.009575f, 0.010292f, 0.011505f, 0.012535f, 0.014114f, 0.016006f, 0.017838f, 0.020462f, + 0.023193f, 0.026489f, 0.030807f, 0.035858f, 0.041840f, 0.049652f, 0.059174f, 0.070435f, + 0.084839f, 0.102783f, 0.124146f, 0.151489f, 0.183472f, 0.221802f, 0.265137f, 0.315186f, + 0.369629f, 0.430664f, 0.782715f, 0.796875f, 0.799805f, 0.800293f, 0.801758f, 0.801758f, + 0.000119f, 0.000369f, 0.000340f, 0.000595f, 0.000667f, 0.000841f, 0.001010f, 0.001086f, + 0.001179f, 0.001225f, 0.001494f, 0.001555f, 0.001654f, 0.001754f, 0.001965f, 0.002142f, + 0.002197f, 0.002432f, 0.002619f, 0.002811f, 0.003021f, 0.003139f, 0.003567f, 0.003708f, + 0.004066f, 0.004360f, 0.004612f, 0.005123f, 0.005489f, 0.005878f, 0.006306f, 0.006824f, + 0.007576f, 0.008286f, 0.008949f, 0.010155f, 0.011322f, 0.012756f, 0.014046f, 0.015976f, + 0.018250f, 0.020874f, 0.024094f, 0.027878f, 0.032867f, 0.039154f, 0.046509f, 0.055908f, + 0.068054f, 0.082886f, 0.102356f, 0.125732f, 0.155029f, 0.190674f, 0.232422f, 0.281006f, + 0.335693f, 0.397949f, 0.770020f, 0.783691f, 0.786621f, 0.787598f, 0.788086f, 0.789551f, + 0.000000f, 0.000220f, 0.000275f, 0.000562f, 0.000618f, 0.000683f, 0.000733f, 0.000761f, + 0.000966f, 0.001022f, 0.001184f, 0.001237f, 0.001382f, 0.001552f, 0.001688f, 0.001724f, + 0.001918f, 0.002024f, 0.002115f, 0.002243f, 0.002403f, 0.002718f, 0.002840f, 0.003052f, + 0.003330f, 0.003508f, 0.003860f, 0.004097f, 0.004314f, 0.004719f, 0.005074f, 0.005535f, + 0.006058f, 0.006584f, 0.007168f, 0.007874f, 0.008759f, 0.009651f, 0.011086f, 0.012459f, + 0.013992f, 0.015945f, 0.018433f, 0.021408f, 0.025192f, 0.029861f, 0.035950f, 0.043396f, + 0.053406f, 0.065735f, 0.082031f, 0.102234f, 0.128052f, 0.160645f, 0.200073f, 0.247192f, + 0.301025f, 0.363281f, 0.755371f, 0.770996f, 0.772949f, 0.773926f, 0.775879f, 0.775879f, + 0.000216f, 0.000102f, 0.000381f, 0.000487f, 0.000429f, 0.000552f, 0.000579f, 0.000788f, + 0.000804f, 0.000854f, 0.000937f, 0.000996f, 0.001078f, 0.001218f, 0.001315f, 0.001499f, + 0.001532f, 0.001642f, 0.001805f, 0.001825f, 0.002077f, 0.002178f, 0.002312f, 0.002396f, + 0.002575f, 0.002735f, 0.002947f, 0.003317f, 0.003428f, 0.003721f, 0.004185f, 0.004379f, + 0.004704f, 0.005253f, 0.005650f, 0.006145f, 0.006870f, 0.007515f, 0.008415f, 0.009430f, + 0.010612f, 0.012093f, 0.013954f, 0.016052f, 0.018967f, 0.022476f, 0.027115f, 0.032898f, + 0.040649f, 0.050690f, 0.063599f, 0.080811f, 0.103210f, 0.132202f, 0.168823f, 0.213501f, + 0.266602f, 0.329102f, 0.740234f, 0.756348f, 0.758789f, 0.760254f, 0.761230f, 0.761230f, + 0.000179f, 0.000181f, 0.000180f, 0.000289f, 0.000413f, 0.000458f, 0.000497f, 0.000620f, + 0.000646f, 0.000688f, 0.000830f, 0.000868f, 0.000904f, 0.000981f, 0.001024f, 0.001178f, + 0.001146f, 0.001302f, 0.001382f, 0.001523f, 0.001679f, 0.001737f, 0.001824f, 0.001959f, + 0.002195f, 0.002283f, 0.002438f, 0.002579f, 0.002703f, 0.002939f, 0.003181f, 0.003454f, + 0.003677f, 0.004051f, 0.004395f, 0.004738f, 0.005283f, 0.005783f, 0.006420f, 0.007095f, + 0.007988f, 0.009094f, 0.010384f, 0.011955f, 0.013939f, 0.016434f, 0.019836f, 0.024292f, + 0.030029f, 0.037659f, 0.048065f, 0.061890f, 0.080811f, 0.105774f, 0.138672f, 0.180542f, + 0.231934f, 0.293213f, 0.724121f, 0.740234f, 0.744141f, 0.745117f, 0.745605f, 0.746094f, + 0.000000f, 0.000056f, 0.000263f, 0.000339f, 0.000369f, 0.000357f, 0.000376f, 0.000508f, + 0.000519f, 0.000558f, 0.000581f, 0.000678f, 0.000767f, 0.000775f, 0.000905f, 0.000849f, + 0.000992f, 0.000942f, 0.001192f, 0.001169f, 0.001204f, 0.001375f, 0.001439f, 0.001532f, + 0.001634f, 0.001676f, 0.001799f, 0.001904f, 0.002165f, 0.002262f, 0.002377f, 0.002611f, + 0.002836f, 0.003103f, 0.003321f, 0.003550f, 0.004005f, 0.004356f, 0.004772f, 0.005295f, + 0.005962f, 0.006756f, 0.007690f, 0.008690f, 0.010078f, 0.011871f, 0.014252f, 0.017242f, + 0.021393f, 0.027100f, 0.034851f, 0.046051f, 0.060455f, 0.081848f, 0.110474f, 0.148682f, + 0.197632f, 0.257568f, 0.706543f, 0.724121f, 0.727539f, 0.729492f, 0.729980f, 0.729492f, + 0.000000f, 0.000130f, 0.000174f, 0.000312f, 0.000290f, 0.000293f, 0.000372f, 0.000319f, + 0.000397f, 0.000433f, 0.000550f, 0.000552f, 0.000564f, 0.000593f, 0.000638f, 0.000758f, + 0.000784f, 0.000797f, 0.000842f, 0.000937f, 0.001011f, 0.001068f, 0.001125f, 0.001231f, + 0.001228f, 0.001288f, 0.001409f, 0.001465f, 0.001644f, 0.001697f, 0.001965f, 0.001924f, + 0.002136f, 0.002270f, 0.002436f, 0.002697f, 0.002916f, 0.003202f, 0.003492f, 0.003929f, + 0.004391f, 0.004887f, 0.005516f, 0.006233f, 0.007240f, 0.008461f, 0.010094f, 0.012070f, + 0.014854f, 0.018585f, 0.024338f, 0.032379f, 0.043884f, 0.060516f, 0.084656f, 0.118469f, + 0.164185f, 0.222168f, 0.689941f, 0.708008f, 0.710449f, 0.711914f, 0.712891f, 0.712402f, + 0.000000f, 0.000000f, 0.000122f, 0.000226f, 0.000145f, 0.000282f, 0.000255f, 0.000247f, + 0.000323f, 0.000389f, 0.000379f, 0.000435f, 0.000461f, 0.000509f, 0.000535f, 0.000517f, + 0.000557f, 0.000604f, 0.000649f, 0.000690f, 0.000757f, 0.000773f, 0.000836f, 0.000865f, + 0.000924f, 0.000957f, 0.001095f, 0.001104f, 0.001243f, 0.001361f, 0.001458f, 0.001486f, + 0.001619f, 0.001745f, 0.001791f, 0.001993f, 0.002100f, 0.002321f, 0.002539f, 0.002771f, + 0.003084f, 0.003412f, 0.003866f, 0.004368f, 0.005062f, 0.005821f, 0.006882f, 0.008278f, + 0.010071f, 0.012756f, 0.016327f, 0.021774f, 0.029785f, 0.042206f, 0.061462f, 0.090149f, + 0.131348f, 0.187378f, 0.669434f, 0.688965f, 0.692383f, 0.694824f, 0.695801f, 0.695312f, + 0.000000f, 0.000118f, 0.000113f, 0.000158f, 0.000158f, 0.000176f, 0.000224f, 0.000202f, + 0.000251f, 0.000260f, 0.000280f, 0.000332f, 0.000316f, 0.000365f, 0.000389f, 0.000419f, + 0.000454f, 0.000435f, 0.000476f, 0.000494f, 0.000516f, 0.000576f, 0.000609f, 0.000656f, + 0.000678f, 0.000712f, 0.000792f, 0.000800f, 0.000852f, 0.000919f, 0.000961f, 0.001070f, + 0.001120f, 0.001238f, 0.001300f, 0.001480f, 0.001459f, 0.001634f, 0.001798f, 0.001947f, + 0.002111f, 0.002377f, 0.002615f, 0.002966f, 0.003410f, 0.003933f, 0.004585f, 0.005489f, + 0.006706f, 0.008148f, 0.010757f, 0.013962f, 0.019257f, 0.027771f, 0.041931f, 0.065125f, + 0.101135f, 0.152832f, 0.650391f, 0.670898f, 0.674316f, 0.675293f, 0.675781f, 0.677246f, + 0.000000f, 0.000000f, 0.000109f, 0.000106f, 0.000121f, 0.000117f, 0.000130f, 0.000151f, + 0.000161f, 0.000174f, 0.000234f, 0.000197f, 0.000205f, 0.000236f, 0.000272f, 0.000296f, + 0.000267f, 0.000296f, 0.000397f, 0.000344f, 0.000413f, 0.000395f, 0.000433f, 0.000434f, + 0.000504f, 0.000488f, 0.000532f, 0.000550f, 0.000602f, 0.000711f, 0.000675f, 0.000704f, + 0.000752f, 0.000817f, 0.000896f, 0.000955f, 0.001009f, 0.001091f, 0.001223f, 0.001271f, + 0.001415f, 0.001560f, 0.001721f, 0.001989f, 0.002214f, 0.002508f, 0.002930f, 0.003504f, + 0.004208f, 0.005169f, 0.006603f, 0.008606f, 0.011864f, 0.017090f, 0.026367f, 0.043396f, + 0.072571f, 0.119751f, 0.630859f, 0.650879f, 0.653809f, 0.656250f, 0.657227f, 0.657227f, + 0.000000f, 0.000111f, 0.000104f, 0.000100f, 0.000096f, 0.000094f, 0.000105f, 0.000096f, + 0.000101f, 0.000115f, 0.000119f, 0.000155f, 0.000129f, 0.000180f, 0.000186f, 0.000199f, + 0.000208f, 0.000214f, 0.000232f, 0.000230f, 0.000237f, 0.000247f, 0.000303f, 0.000276f, + 0.000324f, 0.000332f, 0.000381f, 0.000371f, 0.000393f, 0.000428f, 0.000490f, 0.000468f, + 0.000512f, 0.000540f, 0.000598f, 0.000670f, 0.000673f, 0.000711f, 0.000767f, 0.000842f, + 0.000894f, 0.000985f, 0.001120f, 0.001200f, 0.001416f, 0.001544f, 0.001768f, 0.002052f, + 0.002510f, 0.003044f, 0.003796f, 0.005016f, 0.006870f, 0.009918f, 0.015335f, 0.026077f, + 0.048004f, 0.088745f, 0.610352f, 0.630859f, 0.634277f, 0.636230f, 0.637207f, 0.638184f, + 0.000000f, 0.000104f, 0.000098f, 0.000092f, 0.000087f, 0.000084f, 0.000081f, 0.000078f, + 0.000074f, 0.000070f, 0.000073f, 0.000075f, 0.000081f, 0.000081f, 0.000119f, 0.000124f, + 0.000129f, 0.000115f, 0.000142f, 0.000169f, 0.000155f, 0.000169f, 0.000172f, 0.000196f, + 0.000209f, 0.000211f, 0.000203f, 0.000238f, 0.000245f, 0.000260f, 0.000282f, 0.000281f, + 0.000297f, 0.000333f, 0.000343f, 0.000374f, 0.000398f, 0.000428f, 0.000473f, 0.000494f, + 0.000534f, 0.000591f, 0.000643f, 0.000708f, 0.000790f, 0.000893f, 0.001040f, 0.001169f, + 0.001381f, 0.001676f, 0.002123f, 0.002686f, 0.003658f, 0.005329f, 0.008347f, 0.014244f, + 0.027954f, 0.060638f, 0.587891f, 0.609375f, 0.613281f, 0.614746f, 0.616699f, 0.616211f, + 0.000110f, 0.000094f, 0.000085f, 0.000079f, 0.000075f, 0.000072f, 0.000069f, 0.000067f, + 0.000065f, 0.000063f, 0.000059f, 0.000059f, 0.000054f, 0.000051f, 0.000055f, 0.000051f, + 0.000066f, 0.000066f, 0.000078f, 0.000074f, 0.000089f, 0.000091f, 0.000102f, 0.000109f, + 0.000114f, 0.000126f, 0.000133f, 0.000130f, 0.000141f, 0.000141f, 0.000156f, 0.000172f, + 0.000180f, 0.000179f, 0.000206f, 0.000199f, 0.000214f, 0.000254f, 0.000247f, 0.000282f, + 0.000300f, 0.000324f, 0.000349f, 0.000374f, 0.000413f, 0.000459f, 0.000513f, 0.000619f, + 0.000711f, 0.000823f, 0.001030f, 0.001269f, 0.001724f, 0.002487f, 0.003948f, 0.007015f, + 0.014122f, 0.036346f, 0.565430f, 0.586426f, 0.592285f, 0.592773f, 0.594238f, 0.594727f, + 0.000092f, 0.000073f, 0.000067f, 0.000062f, 0.000057f, 0.000055f, 0.000052f, 0.000052f, + 0.000049f, 0.000049f, 0.000047f, 0.000046f, 0.000046f, 0.000043f, 0.000041f, 0.000039f, + 0.000038f, 0.000036f, 0.000039f, 0.000036f, 0.000039f, 0.000037f, 0.000039f, 0.000047f, + 0.000051f, 0.000057f, 0.000059f, 0.000060f, 0.000067f, 0.000071f, 0.000078f, 0.000085f, + 0.000087f, 0.000091f, 0.000098f, 0.000095f, 0.000102f, 0.000122f, 0.000122f, 0.000137f, + 0.000143f, 0.000145f, 0.000168f, 0.000171f, 0.000197f, 0.000209f, 0.000234f, 0.000264f, + 0.000295f, 0.000349f, 0.000418f, 0.000520f, 0.000678f, 0.000958f, 0.001512f, 0.002745f, + 0.006092f, 0.017456f, 0.542969f, 0.565430f, 0.568848f, 0.569824f, 0.572266f, 0.572266f, + 0.000052f, 0.000042f, 0.000037f, 0.000035f, 0.000033f, 0.000033f, 0.000032f, 0.000031f, + 0.000031f, 0.000029f, 0.000030f, 0.000030f, 0.000029f, 0.000028f, 0.000028f, 0.000028f, + 0.000028f, 0.000028f, 0.000027f, 0.000026f, 0.000024f, 0.000023f, 0.000022f, 0.000022f, + 0.000021f, 0.000020f, 0.000019f, 0.000022f, 0.000020f, 0.000023f, 0.000024f, 0.000026f, + 0.000028f, 0.000035f, 0.000037f, 0.000038f, 0.000039f, 0.000043f, 0.000048f, 0.000050f, + 0.000053f, 0.000055f, 0.000062f, 0.000059f, 0.000072f, 0.000070f, 0.000087f, 0.000099f, + 0.000100f, 0.000119f, 0.000142f, 0.000162f, 0.000217f, 0.000283f, 0.000425f, 0.000760f, + 0.001818f, 0.006405f, 0.519043f, 0.541504f, 0.546387f, 0.548828f, 0.549316f, 0.550781f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, + 0.000004f, 0.000006f, 0.000006f, 0.000008f, 0.000009f, 0.000009f, 0.000009f, 0.000010f, + 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, + 0.000012f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, + 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000008f, 0.000011f, + 0.000011f, 0.000012f, 0.000015f, 0.000016f, 0.000016f, 0.000018f, 0.000018f, 0.000020f, + 0.000022f, 0.000024f, 0.000028f, 0.000035f, 0.000036f, 0.000052f, 0.000071f, 0.000117f, + 0.000260f, 0.001269f, 0.495605f, 0.518555f, 0.523926f, 0.525879f, 0.526855f, 0.527344f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, + 0.000005f, 0.000021f, 0.473145f, 0.495605f, 0.500000f, 0.502441f, 0.503418f, 0.503906f, + }, + { + 0.045868f, 0.130493f, 0.205322f, 0.272705f, 0.331787f, 0.384521f, 0.431885f, 0.473389f, + 0.511719f, 0.545898f, 0.576660f, 0.605469f, 0.631348f, 0.654785f, 0.676758f, 0.696289f, + 0.714355f, 0.732422f, 0.749023f, 0.763184f, 0.777832f, 0.790527f, 0.802734f, 0.813477f, + 0.824219f, 0.834961f, 0.844238f, 0.853027f, 0.862305f, 0.869629f, 0.877441f, 0.884277f, + 0.892090f, 0.898926f, 0.904297f, 0.910645f, 0.916992f, 0.921875f, 0.926758f, 0.931641f, + 0.937012f, 0.941406f, 0.945801f, 0.950195f, 0.954102f, 0.958496f, 0.962402f, 0.966309f, + 0.969238f, 0.973145f, 0.976074f, 0.979492f, 0.982422f, 0.985352f, 0.988281f, 0.991211f, + 0.993652f, 0.996094f, 0.997070f, 0.993164f, 0.990234f, 0.987305f, 0.984375f, 0.981445f, + 0.033447f, 0.097717f, 0.160400f, 0.219238f, 0.273438f, 0.323486f, 0.371582f, 0.414062f, + 0.454834f, 0.491211f, 0.524414f, 0.555176f, 0.583984f, 0.610840f, 0.635254f, 0.658203f, + 0.678223f, 0.697754f, 0.716309f, 0.732422f, 0.749023f, 0.763184f, 0.776855f, 0.790527f, + 0.802734f, 0.812988f, 0.824707f, 0.834473f, 0.844238f, 0.853516f, 0.862305f, 0.870117f, + 0.877930f, 0.884766f, 0.892090f, 0.897949f, 0.905762f, 0.910645f, 0.917480f, 0.923340f, + 0.927734f, 0.933105f, 0.937988f, 0.942871f, 0.947266f, 0.951172f, 0.955566f, 0.960449f, + 0.963379f, 0.967285f, 0.970703f, 0.974609f, 0.978027f, 0.981445f, 0.984863f, 0.986816f, + 0.989746f, 0.993164f, 0.995605f, 0.992188f, 0.988770f, 0.986328f, 0.983398f, 0.980957f, + 0.024796f, 0.075195f, 0.126221f, 0.176025f, 0.224976f, 0.271729f, 0.317383f, 0.359375f, + 0.399902f, 0.437744f, 0.472656f, 0.505371f, 0.536133f, 0.565430f, 0.591797f, 0.615723f, + 0.639648f, 0.660156f, 0.681152f, 0.699219f, 0.718262f, 0.734375f, 0.749512f, 0.764648f, + 0.777832f, 0.791016f, 0.802734f, 0.813965f, 0.825195f, 0.835449f, 0.844727f, 0.854004f, + 0.862305f, 0.871094f, 0.878418f, 0.886230f, 0.893555f, 0.900391f, 0.906738f, 0.912598f, + 0.917969f, 0.923828f, 0.929688f, 0.935059f, 0.939941f, 0.943848f, 0.949219f, 0.953613f, + 0.958008f, 0.961914f, 0.965332f, 0.969238f, 0.972656f, 0.976074f, 0.979492f, 0.982910f, + 0.986328f, 0.989258f, 0.993652f, 0.990723f, 0.987793f, 0.985352f, 0.982910f, 0.979980f, + 0.019119f, 0.058624f, 0.100220f, 0.142578f, 0.185303f, 0.227417f, 0.269287f, 0.310059f, + 0.348877f, 0.385254f, 0.421875f, 0.455566f, 0.489014f, 0.518555f, 0.546875f, 0.574707f, + 0.598633f, 0.624023f, 0.645508f, 0.666016f, 0.684082f, 0.702637f, 0.720703f, 0.736816f, + 0.751465f, 0.766113f, 0.779785f, 0.792969f, 0.804199f, 0.815918f, 0.826660f, 0.836426f, + 0.846191f, 0.855957f, 0.864746f, 0.872559f, 0.880371f, 0.888184f, 0.895508f, 0.902344f, + 0.908691f, 0.914062f, 0.919922f, 0.925293f, 0.932129f, 0.936035f, 0.941895f, 0.946289f, + 0.951172f, 0.955566f, 0.959473f, 0.963867f, 0.967773f, 0.970703f, 0.975586f, 0.978516f, + 0.981934f, 0.985352f, 0.991699f, 0.988770f, 0.986328f, 0.983887f, 0.981445f, 0.979004f, + 0.015175f, 0.046997f, 0.080688f, 0.116028f, 0.152466f, 0.189819f, 0.227417f, 0.264404f, + 0.301758f, 0.338623f, 0.374268f, 0.407471f, 0.439941f, 0.471924f, 0.501465f, 0.529785f, + 0.556641f, 0.582031f, 0.606445f, 0.629395f, 0.649902f, 0.670898f, 0.688965f, 0.708496f, + 0.725098f, 0.740723f, 0.755371f, 0.769531f, 0.782715f, 0.795410f, 0.807129f, 0.818848f, + 0.829590f, 0.839844f, 0.849121f, 0.857910f, 0.866699f, 0.875488f, 0.882812f, 0.890625f, + 0.897461f, 0.904297f, 0.910645f, 0.916992f, 0.922363f, 0.928223f, 0.933594f, 0.938477f, + 0.944824f, 0.949707f, 0.953613f, 0.958008f, 0.962402f, 0.966309f, 0.970703f, 0.974121f, + 0.977539f, 0.981934f, 0.990234f, 0.987793f, 0.984863f, 0.982910f, 0.980469f, 0.978516f, + 0.012215f, 0.038452f, 0.066101f, 0.095825f, 0.126831f, 0.159180f, 0.192749f, 0.226685f, + 0.260986f, 0.294922f, 0.328857f, 0.363037f, 0.394531f, 0.426270f, 0.457520f, 0.486572f, + 0.514648f, 0.541016f, 0.567871f, 0.590820f, 0.614746f, 0.636230f, 0.657227f, 0.676270f, + 0.694336f, 0.711914f, 0.729492f, 0.744141f, 0.759277f, 0.773438f, 0.786621f, 0.798340f, + 0.811523f, 0.822266f, 0.833496f, 0.842773f, 0.851562f, 0.861816f, 0.869629f, 0.878418f, + 0.885742f, 0.893066f, 0.900879f, 0.907715f, 0.913574f, 0.919922f, 0.925781f, 0.932129f, + 0.937012f, 0.942871f, 0.946777f, 0.951660f, 0.957031f, 0.960938f, 0.965332f, 0.969727f, + 0.973633f, 0.977051f, 0.988281f, 0.986328f, 0.983887f, 0.981445f, 0.979492f, 0.976562f, + 0.009903f, 0.031525f, 0.054626f, 0.078979f, 0.105408f, 0.133789f, 0.162720f, 0.192993f, + 0.224976f, 0.256592f, 0.288330f, 0.320312f, 0.352295f, 0.383545f, 0.414062f, 0.443848f, + 0.473389f, 0.500488f, 0.526367f, 0.553223f, 0.577637f, 0.600586f, 0.622070f, 0.644043f, + 0.664551f, 0.683105f, 0.701660f, 0.718262f, 0.734375f, 0.750000f, 0.764648f, 0.778320f, + 0.791016f, 0.802734f, 0.815430f, 0.826172f, 0.836426f, 0.845703f, 0.855957f, 0.864258f, + 0.874023f, 0.881348f, 0.889648f, 0.896973f, 0.904297f, 0.911621f, 0.917480f, 0.922852f, + 0.929199f, 0.935059f, 0.939941f, 0.944824f, 0.950195f, 0.954590f, 0.959961f, 0.964355f, + 0.968262f, 0.972656f, 0.986328f, 0.984375f, 0.981934f, 0.979980f, 0.978027f, 0.975586f, + 0.008385f, 0.026154f, 0.045319f, 0.066467f, 0.089111f, 0.113220f, 0.138916f, 0.165405f, + 0.192871f, 0.222290f, 0.252197f, 0.281494f, 0.311279f, 0.342285f, 0.372314f, 0.402832f, + 0.431641f, 0.459473f, 0.486572f, 0.513672f, 0.539062f, 0.562988f, 0.587402f, 0.609863f, + 0.631348f, 0.652344f, 0.671875f, 0.689941f, 0.708008f, 0.724609f, 0.740234f, 0.755371f, + 0.768066f, 0.783203f, 0.795410f, 0.808105f, 0.819336f, 0.830078f, 0.840332f, 0.851074f, + 0.860352f, 0.869141f, 0.877930f, 0.885742f, 0.893555f, 0.900879f, 0.907715f, 0.915039f, + 0.920410f, 0.926758f, 0.933105f, 0.938965f, 0.944336f, 0.949707f, 0.953613f, 0.958984f, + 0.962891f, 0.967285f, 0.984375f, 0.982910f, 0.980957f, 0.978516f, 0.976562f, 0.974609f, + 0.006992f, 0.022324f, 0.038544f, 0.056396f, 0.075317f, 0.095947f, 0.117981f, 0.141968f, + 0.166504f, 0.192627f, 0.219238f, 0.246704f, 0.275879f, 0.304443f, 0.333252f, 0.362305f, + 0.390869f, 0.419678f, 0.447266f, 0.474121f, 0.500977f, 0.525879f, 0.551270f, 0.574219f, + 0.597656f, 0.620117f, 0.641602f, 0.661133f, 0.680664f, 0.698242f, 0.715332f, 0.731934f, + 0.746582f, 0.761230f, 0.775391f, 0.789551f, 0.802246f, 0.813477f, 0.825195f, 0.835938f, + 0.846191f, 0.855957f, 0.865723f, 0.873535f, 0.882324f, 0.890625f, 0.898438f, 0.905762f, + 0.912598f, 0.918945f, 0.925781f, 0.931641f, 0.937012f, 0.943848f, 0.948730f, 0.954102f, + 0.957520f, 0.963379f, 0.981934f, 0.980957f, 0.979004f, 0.977051f, 0.975098f, 0.973145f, + 0.006260f, 0.018387f, 0.032684f, 0.047821f, 0.064636f, 0.082153f, 0.101318f, 0.122009f, + 0.143921f, 0.166870f, 0.191406f, 0.216187f, 0.243164f, 0.269287f, 0.297119f, 0.324951f, + 0.352783f, 0.380859f, 0.408691f, 0.435547f, 0.462402f, 0.489258f, 0.514160f, 0.540039f, + 0.563965f, 0.585938f, 0.608398f, 0.629395f, 0.649414f, 0.669434f, 0.689453f, 0.705566f, + 0.722656f, 0.739258f, 0.753418f, 0.769043f, 0.783203f, 0.795898f, 0.807617f, 0.819824f, + 0.830566f, 0.842285f, 0.852051f, 0.862305f, 0.871094f, 0.878906f, 0.888184f, 0.895996f, + 0.902832f, 0.910645f, 0.917480f, 0.924316f, 0.930176f, 0.936523f, 0.942383f, 0.946777f, + 0.953613f, 0.958496f, 0.979980f, 0.979004f, 0.977539f, 0.975586f, 0.973633f, 0.972168f, + 0.005268f, 0.016418f, 0.028091f, 0.041107f, 0.055420f, 0.070435f, 0.087341f, 0.105347f, + 0.124512f, 0.144531f, 0.166260f, 0.189453f, 0.213989f, 0.238037f, 0.263184f, 0.290039f, + 0.317139f, 0.344238f, 0.370850f, 0.398438f, 0.425293f, 0.451660f, 0.477539f, 0.503418f, + 0.528320f, 0.551270f, 0.576172f, 0.598145f, 0.619629f, 0.640137f, 0.659668f, 0.680176f, + 0.697754f, 0.714844f, 0.731934f, 0.748047f, 0.762695f, 0.776367f, 0.790039f, 0.803223f, + 0.814453f, 0.827148f, 0.837891f, 0.847656f, 0.858398f, 0.868164f, 0.876953f, 0.885742f, + 0.893066f, 0.901855f, 0.908691f, 0.916504f, 0.922852f, 0.929199f, 0.935059f, 0.941895f, + 0.947754f, 0.953125f, 0.978027f, 0.977539f, 0.975586f, 0.973633f, 0.971680f, 0.969727f, + 0.004372f, 0.013802f, 0.024185f, 0.036011f, 0.047729f, 0.060944f, 0.075684f, 0.090820f, + 0.107788f, 0.125488f, 0.144653f, 0.165771f, 0.187012f, 0.210205f, 0.233643f, 0.258545f, + 0.283447f, 0.309326f, 0.335449f, 0.362305f, 0.388672f, 0.415771f, 0.441650f, 0.468018f, + 0.492920f, 0.518066f, 0.542480f, 0.564941f, 0.587891f, 0.609863f, 0.630859f, 0.651855f, + 0.670898f, 0.689453f, 0.707520f, 0.724609f, 0.740723f, 0.755859f, 0.770996f, 0.785156f, + 0.799316f, 0.809570f, 0.822754f, 0.834473f, 0.845215f, 0.855469f, 0.865723f, 0.874023f, + 0.883301f, 0.892090f, 0.899902f, 0.907715f, 0.915039f, 0.922363f, 0.928711f, 0.935059f, + 0.941406f, 0.947266f, 0.975586f, 0.975098f, 0.973633f, 0.971680f, 0.969727f, 0.968262f, + 0.003809f, 0.012253f, 0.021240f, 0.030884f, 0.041473f, 0.052887f, 0.065308f, 0.079224f, + 0.094177f, 0.109558f, 0.126709f, 0.145142f, 0.163940f, 0.184814f, 0.207397f, 0.229736f, + 0.252686f, 0.276855f, 0.302246f, 0.327881f, 0.353271f, 0.380127f, 0.405762f, 0.432129f, + 0.457520f, 0.482422f, 0.507324f, 0.531250f, 0.556152f, 0.578125f, 0.600586f, 0.622559f, + 0.642578f, 0.662109f, 0.681641f, 0.700195f, 0.716797f, 0.734375f, 0.750000f, 0.766113f, + 0.779297f, 0.793457f, 0.807129f, 0.819336f, 0.830078f, 0.842285f, 0.853027f, 0.862793f, + 0.872559f, 0.881348f, 0.890625f, 0.899414f, 0.907227f, 0.914551f, 0.920898f, 0.928223f, + 0.935059f, 0.941406f, 0.973633f, 0.973145f, 0.971680f, 0.970215f, 0.968262f, 0.966797f, + 0.003462f, 0.010796f, 0.018646f, 0.026962f, 0.036377f, 0.046173f, 0.057190f, 0.068665f, + 0.081726f, 0.095520f, 0.110962f, 0.127563f, 0.144897f, 0.162476f, 0.182373f, 0.202881f, + 0.225342f, 0.248291f, 0.271729f, 0.294922f, 0.320312f, 0.345459f, 0.370850f, 0.397217f, + 0.422607f, 0.447998f, 0.473145f, 0.498291f, 0.522461f, 0.546875f, 0.569824f, 0.591797f, + 0.614258f, 0.635742f, 0.655273f, 0.674805f, 0.693359f, 0.711426f, 0.729492f, 0.745605f, + 0.760742f, 0.775391f, 0.789551f, 0.803223f, 0.816406f, 0.828125f, 0.839844f, 0.850586f, + 0.861328f, 0.871094f, 0.880371f, 0.889648f, 0.898438f, 0.906250f, 0.915039f, 0.921875f, + 0.928223f, 0.935547f, 0.970703f, 0.970215f, 0.970215f, 0.967773f, 0.966309f, 0.965332f, + 0.002872f, 0.009338f, 0.016174f, 0.024231f, 0.031525f, 0.040558f, 0.050140f, 0.060455f, + 0.071472f, 0.084167f, 0.097168f, 0.111450f, 0.127197f, 0.143433f, 0.160889f, 0.179565f, + 0.199463f, 0.220825f, 0.242554f, 0.265625f, 0.288818f, 0.312744f, 0.338135f, 0.362793f, + 0.387939f, 0.414307f, 0.439453f, 0.464355f, 0.489014f, 0.514648f, 0.537598f, 0.561523f, + 0.583984f, 0.606445f, 0.627930f, 0.648926f, 0.667480f, 0.687988f, 0.705566f, 0.723633f, + 0.740234f, 0.756348f, 0.771484f, 0.786621f, 0.799805f, 0.812012f, 0.825195f, 0.836426f, + 0.849121f, 0.859375f, 0.870605f, 0.879883f, 0.888672f, 0.897461f, 0.905762f, 0.915039f, + 0.921387f, 0.928711f, 0.967773f, 0.969238f, 0.966797f, 0.966797f, 0.964355f, 0.963379f, + 0.002750f, 0.008202f, 0.014519f, 0.021301f, 0.028183f, 0.035828f, 0.044342f, 0.053375f, + 0.063354f, 0.074219f, 0.085876f, 0.098083f, 0.111938f, 0.126343f, 0.142212f, 0.158936f, + 0.177124f, 0.196411f, 0.216553f, 0.237427f, 0.260010f, 0.282715f, 0.306641f, 0.330811f, + 0.355957f, 0.381104f, 0.405518f, 0.431152f, 0.456543f, 0.480957f, 0.504883f, 0.529785f, + 0.553223f, 0.577148f, 0.599121f, 0.620605f, 0.642090f, 0.662598f, 0.682617f, 0.701172f, + 0.718750f, 0.735352f, 0.751953f, 0.768066f, 0.783691f, 0.796875f, 0.810547f, 0.822754f, + 0.835938f, 0.847656f, 0.858398f, 0.869141f, 0.879395f, 0.888672f, 0.897949f, 0.906250f, + 0.914551f, 0.922363f, 0.965820f, 0.966797f, 0.965820f, 0.963867f, 0.963379f, 0.961426f, + 0.002264f, 0.007446f, 0.012741f, 0.018494f, 0.024536f, 0.031769f, 0.039154f, 0.047424f, + 0.056122f, 0.065308f, 0.075623f, 0.087219f, 0.098755f, 0.111328f, 0.125854f, 0.140869f, + 0.157349f, 0.174805f, 0.193115f, 0.212402f, 0.233643f, 0.254883f, 0.276855f, 0.300293f, + 0.324463f, 0.348389f, 0.374023f, 0.398193f, 0.423340f, 0.448242f, 0.473877f, 0.498291f, + 0.521973f, 0.545898f, 0.569824f, 0.592773f, 0.614258f, 0.635742f, 0.657227f, 0.676270f, + 0.695801f, 0.714844f, 0.731445f, 0.749512f, 0.765137f, 0.779785f, 0.793945f, 0.808594f, + 0.821777f, 0.833496f, 0.846191f, 0.858398f, 0.868652f, 0.879395f, 0.888672f, 0.897949f, + 0.906738f, 0.916016f, 0.962402f, 0.963867f, 0.962891f, 0.961914f, 0.960938f, 0.958984f, + 0.002377f, 0.006668f, 0.011467f, 0.016693f, 0.021820f, 0.028091f, 0.034485f, 0.041748f, + 0.049347f, 0.057678f, 0.066589f, 0.076538f, 0.086975f, 0.098816f, 0.111816f, 0.125366f, + 0.139404f, 0.155151f, 0.171875f, 0.190186f, 0.208496f, 0.228760f, 0.250244f, 0.271973f, + 0.294189f, 0.317871f, 0.341797f, 0.365479f, 0.391357f, 0.415771f, 0.440430f, 0.466797f, + 0.491699f, 0.515625f, 0.539551f, 0.563477f, 0.585938f, 0.608887f, 0.630371f, 0.651855f, + 0.672363f, 0.692383f, 0.710449f, 0.729492f, 0.745605f, 0.762695f, 0.778320f, 0.792480f, + 0.807129f, 0.820801f, 0.833984f, 0.846680f, 0.857910f, 0.869141f, 0.879395f, 0.889648f, + 0.899414f, 0.907715f, 0.959473f, 0.961426f, 0.960449f, 0.959961f, 0.958496f, 0.957031f, + 0.002062f, 0.006180f, 0.010201f, 0.015053f, 0.019531f, 0.025116f, 0.030960f, 0.037292f, + 0.043915f, 0.051117f, 0.059570f, 0.067749f, 0.076843f, 0.087708f, 0.099060f, 0.110352f, + 0.123413f, 0.138062f, 0.153198f, 0.169067f, 0.186768f, 0.204956f, 0.224487f, 0.244873f, + 0.265625f, 0.288330f, 0.311768f, 0.335205f, 0.359863f, 0.384521f, 0.409668f, 0.434082f, + 0.459717f, 0.483887f, 0.508789f, 0.533203f, 0.557617f, 0.580566f, 0.603516f, 0.626465f, + 0.646484f, 0.667969f, 0.687500f, 0.708008f, 0.726074f, 0.744141f, 0.760742f, 0.776367f, + 0.791504f, 0.806641f, 0.820312f, 0.833496f, 0.846191f, 0.858398f, 0.869629f, 0.879883f, + 0.890625f, 0.900879f, 0.956543f, 0.958496f, 0.958008f, 0.956543f, 0.955566f, 0.954102f, + 0.001774f, 0.005459f, 0.009155f, 0.013290f, 0.017807f, 0.022537f, 0.027527f, 0.033081f, + 0.038818f, 0.045380f, 0.052643f, 0.060516f, 0.068420f, 0.077942f, 0.087952f, 0.098572f, + 0.109863f, 0.122925f, 0.136230f, 0.150146f, 0.166382f, 0.183105f, 0.201172f, 0.219482f, + 0.240112f, 0.261230f, 0.283203f, 0.305664f, 0.329590f, 0.353027f, 0.377930f, 0.402344f, + 0.427490f, 0.453369f, 0.478516f, 0.502930f, 0.527832f, 0.552246f, 0.575684f, 0.598145f, + 0.621094f, 0.643555f, 0.664551f, 0.685547f, 0.704590f, 0.723633f, 0.742188f, 0.759277f, + 0.775879f, 0.791016f, 0.806152f, 0.820801f, 0.833496f, 0.847168f, 0.859375f, 0.870605f, + 0.881348f, 0.893066f, 0.953125f, 0.956055f, 0.955566f, 0.954102f, 0.953125f, 0.951660f, + 0.001655f, 0.004757f, 0.008308f, 0.011993f, 0.015808f, 0.020187f, 0.024780f, 0.029434f, + 0.034851f, 0.040741f, 0.046997f, 0.053650f, 0.061096f, 0.069397f, 0.078064f, 0.087280f, + 0.097351f, 0.108887f, 0.121033f, 0.134277f, 0.148560f, 0.163330f, 0.180054f, 0.197144f, + 0.215332f, 0.235718f, 0.255859f, 0.277588f, 0.300049f, 0.323730f, 0.347656f, 0.371826f, + 0.396729f, 0.422607f, 0.447021f, 0.472168f, 0.497803f, 0.521973f, 0.547363f, 0.571289f, + 0.594238f, 0.618164f, 0.640137f, 0.662109f, 0.682617f, 0.702637f, 0.722168f, 0.739746f, + 0.758301f, 0.774902f, 0.790527f, 0.806641f, 0.820801f, 0.834961f, 0.848633f, 0.860352f, + 0.872559f, 0.883789f, 0.949707f, 0.953125f, 0.952148f, 0.951172f, 0.950684f, 0.948730f, + 0.001418f, 0.004456f, 0.007584f, 0.010803f, 0.014450f, 0.018005f, 0.022186f, 0.026398f, + 0.031342f, 0.036224f, 0.041687f, 0.048126f, 0.054382f, 0.061676f, 0.069641f, 0.077759f, + 0.086914f, 0.097168f, 0.107910f, 0.119263f, 0.132446f, 0.145752f, 0.161011f, 0.176758f, + 0.193726f, 0.211914f, 0.231201f, 0.251709f, 0.272705f, 0.294922f, 0.318604f, 0.342041f, + 0.366455f, 0.390869f, 0.416992f, 0.441895f, 0.467285f, 0.493164f, 0.517578f, 0.541992f, + 0.566895f, 0.590820f, 0.614746f, 0.637207f, 0.660156f, 0.681152f, 0.701172f, 0.720703f, + 0.739746f, 0.758301f, 0.775391f, 0.791992f, 0.807617f, 0.821289f, 0.836426f, 0.850586f, + 0.863281f, 0.874512f, 0.946777f, 0.949707f, 0.949707f, 0.948730f, 0.947266f, 0.946289f, + 0.001213f, 0.003864f, 0.006721f, 0.009796f, 0.012932f, 0.016037f, 0.020218f, 0.024231f, + 0.028275f, 0.032379f, 0.037567f, 0.042603f, 0.048584f, 0.054993f, 0.061798f, 0.069519f, + 0.077637f, 0.086182f, 0.095703f, 0.106323f, 0.117676f, 0.130127f, 0.143555f, 0.158203f, + 0.173462f, 0.189941f, 0.207886f, 0.226807f, 0.247192f, 0.267822f, 0.290527f, 0.312500f, + 0.336670f, 0.360352f, 0.385742f, 0.410889f, 0.437256f, 0.462646f, 0.488281f, 0.513184f, + 0.539062f, 0.563477f, 0.588379f, 0.612305f, 0.636230f, 0.657715f, 0.679199f, 0.700195f, + 0.720703f, 0.740234f, 0.758301f, 0.775879f, 0.793945f, 0.809082f, 0.824219f, 0.838867f, + 0.852539f, 0.865234f, 0.942871f, 0.946777f, 0.946777f, 0.945312f, 0.944824f, 0.943359f, + 0.001063f, 0.003754f, 0.005909f, 0.008789f, 0.011780f, 0.014671f, 0.017792f, 0.021378f, + 0.025238f, 0.029221f, 0.033417f, 0.038300f, 0.043488f, 0.048828f, 0.054779f, 0.061554f, + 0.068604f, 0.076721f, 0.085388f, 0.094482f, 0.104614f, 0.115845f, 0.128296f, 0.141113f, + 0.155029f, 0.170044f, 0.186401f, 0.204224f, 0.222778f, 0.242188f, 0.263916f, 0.285156f, + 0.308350f, 0.331787f, 0.355957f, 0.381348f, 0.407227f, 0.432617f, 0.459229f, 0.484619f, + 0.509277f, 0.536133f, 0.560547f, 0.585938f, 0.609863f, 0.633301f, 0.657715f, 0.678711f, + 0.699707f, 0.721191f, 0.740723f, 0.759277f, 0.777344f, 0.794922f, 0.811035f, 0.826660f, + 0.841797f, 0.855469f, 0.939453f, 0.943359f, 0.943359f, 0.942871f, 0.941895f, 0.940918f, + 0.001175f, 0.003069f, 0.005558f, 0.007912f, 0.010712f, 0.013199f, 0.016235f, 0.019547f, + 0.022659f, 0.026138f, 0.030151f, 0.034424f, 0.038940f, 0.044067f, 0.049255f, 0.054993f, + 0.061493f, 0.068359f, 0.075928f, 0.084290f, 0.093262f, 0.103760f, 0.114319f, 0.126099f, + 0.138550f, 0.152466f, 0.167114f, 0.183472f, 0.200439f, 0.219238f, 0.239014f, 0.259277f, + 0.281250f, 0.303711f, 0.327148f, 0.351807f, 0.376709f, 0.402344f, 0.428955f, 0.453857f, + 0.480713f, 0.507324f, 0.533203f, 0.558594f, 0.583984f, 0.609375f, 0.633301f, 0.656738f, + 0.678711f, 0.700195f, 0.722168f, 0.742188f, 0.761719f, 0.780273f, 0.797852f, 0.813477f, + 0.830078f, 0.845703f, 0.935547f, 0.939453f, 0.939453f, 0.938965f, 0.937988f, 0.937012f, + 0.001089f, 0.002945f, 0.005066f, 0.007225f, 0.009575f, 0.012016f, 0.014656f, 0.017288f, + 0.020142f, 0.023712f, 0.026764f, 0.030640f, 0.034637f, 0.039490f, 0.043854f, 0.048706f, + 0.054688f, 0.060913f, 0.067871f, 0.075256f, 0.083191f, 0.092163f, 0.101868f, 0.111938f, + 0.123657f, 0.136108f, 0.149658f, 0.164185f, 0.179932f, 0.196777f, 0.215454f, 0.234375f, + 0.255371f, 0.276611f, 0.299805f, 0.323486f, 0.347656f, 0.373047f, 0.398682f, 0.425293f, + 0.451172f, 0.477783f, 0.504883f, 0.530762f, 0.557617f, 0.583008f, 0.607910f, 0.632812f, + 0.657227f, 0.680664f, 0.702637f, 0.724121f, 0.743652f, 0.764160f, 0.783691f, 0.800781f, + 0.818848f, 0.833984f, 0.930664f, 0.936035f, 0.936035f, 0.935547f, 0.934570f, 0.933594f, + 0.000847f, 0.002800f, 0.004562f, 0.006786f, 0.008804f, 0.011017f, 0.013145f, 0.015640f, + 0.018509f, 0.021255f, 0.024277f, 0.027603f, 0.030991f, 0.035248f, 0.039642f, 0.043854f, + 0.048798f, 0.054504f, 0.060516f, 0.067017f, 0.073914f, 0.082092f, 0.090515f, 0.099854f, + 0.109863f, 0.121521f, 0.133545f, 0.146851f, 0.161133f, 0.176514f, 0.192993f, 0.211426f, + 0.230957f, 0.251465f, 0.272705f, 0.295410f, 0.319092f, 0.343994f, 0.369385f, 0.395020f, + 0.421631f, 0.448242f, 0.475342f, 0.501953f, 0.529785f, 0.556152f, 0.582031f, 0.608887f, + 0.633789f, 0.658203f, 0.681152f, 0.704590f, 0.726074f, 0.748535f, 0.768555f, 0.787109f, + 0.804199f, 0.822754f, 0.926758f, 0.931641f, 0.932129f, 0.931641f, 0.931152f, 0.930176f, + 0.001035f, 0.002598f, 0.004147f, 0.006062f, 0.007942f, 0.009933f, 0.012405f, 0.014565f, + 0.016174f, 0.019135f, 0.021988f, 0.024811f, 0.028259f, 0.031616f, 0.035065f, 0.039429f, + 0.043884f, 0.048615f, 0.053833f, 0.059723f, 0.065796f, 0.072693f, 0.080383f, 0.088745f, + 0.098206f, 0.107727f, 0.119080f, 0.130981f, 0.143677f, 0.157959f, 0.173218f, 0.189941f, + 0.207642f, 0.226929f, 0.247437f, 0.269043f, 0.291748f, 0.315674f, 0.340576f, 0.366211f, + 0.392578f, 0.419434f, 0.446533f, 0.473877f, 0.502441f, 0.528320f, 0.556152f, 0.583008f, + 0.609375f, 0.635254f, 0.660156f, 0.684082f, 0.706543f, 0.729980f, 0.751953f, 0.771973f, + 0.792480f, 0.810547f, 0.922363f, 0.927734f, 0.928223f, 0.928223f, 0.927246f, 0.926758f, + 0.000775f, 0.002325f, 0.003843f, 0.005573f, 0.007397f, 0.009163f, 0.010857f, 0.012939f, + 0.015312f, 0.017273f, 0.019684f, 0.022537f, 0.025070f, 0.028183f, 0.031616f, 0.035461f, + 0.038940f, 0.043671f, 0.048096f, 0.053131f, 0.058411f, 0.064941f, 0.071777f, 0.078857f, + 0.086731f, 0.096130f, 0.105835f, 0.116760f, 0.128296f, 0.140747f, 0.154907f, 0.170410f, + 0.186646f, 0.204834f, 0.223633f, 0.243896f, 0.265625f, 0.288330f, 0.312012f, 0.337402f, + 0.363037f, 0.389648f, 0.417480f, 0.444824f, 0.473633f, 0.500000f, 0.529297f, 0.556641f, + 0.583984f, 0.610840f, 0.638184f, 0.662598f, 0.687988f, 0.711914f, 0.734375f, 0.755859f, + 0.777832f, 0.798828f, 0.916992f, 0.922852f, 0.923828f, 0.923828f, 0.923340f, 0.922363f, + 0.000617f, 0.002234f, 0.003510f, 0.005035f, 0.006397f, 0.008156f, 0.010033f, 0.011665f, + 0.013481f, 0.015717f, 0.017700f, 0.020004f, 0.022766f, 0.025391f, 0.028214f, 0.031586f, + 0.035217f, 0.038757f, 0.042999f, 0.047668f, 0.052368f, 0.057434f, 0.063538f, 0.070190f, + 0.077698f, 0.085449f, 0.094299f, 0.103394f, 0.113953f, 0.125610f, 0.137817f, 0.151855f, + 0.167236f, 0.183228f, 0.200806f, 0.219971f, 0.240479f, 0.262451f, 0.285645f, 0.309570f, + 0.334961f, 0.360596f, 0.387939f, 0.416016f, 0.444092f, 0.473145f, 0.501465f, 0.529785f, + 0.558105f, 0.585938f, 0.614258f, 0.640137f, 0.666992f, 0.692383f, 0.716797f, 0.739746f, + 0.763184f, 0.784180f, 0.912109f, 0.918457f, 0.919434f, 0.919434f, 0.918457f, 0.917969f, + 0.000665f, 0.002039f, 0.003386f, 0.004520f, 0.005989f, 0.007511f, 0.009262f, 0.010902f, + 0.012314f, 0.014320f, 0.015869f, 0.018127f, 0.020248f, 0.022476f, 0.025284f, 0.028122f, + 0.030991f, 0.034668f, 0.038239f, 0.042206f, 0.046539f, 0.051361f, 0.056610f, 0.062347f, + 0.068604f, 0.075623f, 0.083313f, 0.092041f, 0.101379f, 0.111572f, 0.122986f, 0.135132f, + 0.148926f, 0.164062f, 0.180054f, 0.197510f, 0.216797f, 0.237183f, 0.259521f, 0.282227f, + 0.307129f, 0.332764f, 0.358887f, 0.386475f, 0.415527f, 0.443604f, 0.473389f, 0.501465f, + 0.530762f, 0.560059f, 0.588867f, 0.617676f, 0.645020f, 0.671387f, 0.698242f, 0.722656f, + 0.746094f, 0.770020f, 0.906738f, 0.913574f, 0.915039f, 0.914551f, 0.914062f, 0.914062f, + 0.000661f, 0.001754f, 0.002831f, 0.004066f, 0.005333f, 0.006668f, 0.008286f, 0.009773f, + 0.011124f, 0.012794f, 0.014320f, 0.016357f, 0.018036f, 0.020386f, 0.022766f, 0.025192f, + 0.027924f, 0.030807f, 0.034027f, 0.037628f, 0.041321f, 0.045349f, 0.050262f, 0.055328f, + 0.060699f, 0.066833f, 0.073669f, 0.081360f, 0.089600f, 0.099060f, 0.108826f, 0.119995f, + 0.132324f, 0.145874f, 0.160889f, 0.176880f, 0.194702f, 0.213379f, 0.234497f, 0.256104f, + 0.280029f, 0.304688f, 0.330811f, 0.358154f, 0.385986f, 0.415039f, 0.444092f, 0.474609f, + 0.503418f, 0.534180f, 0.563965f, 0.592773f, 0.621094f, 0.650391f, 0.678223f, 0.704590f, + 0.730469f, 0.754883f, 0.901855f, 0.908691f, 0.910156f, 0.909668f, 0.909668f, 0.908691f, + 0.000653f, 0.001667f, 0.002666f, 0.003887f, 0.004986f, 0.006359f, 0.007202f, 0.008751f, + 0.010300f, 0.011757f, 0.012939f, 0.014595f, 0.016281f, 0.018234f, 0.020142f, 0.022415f, + 0.025101f, 0.027466f, 0.030182f, 0.033539f, 0.036865f, 0.040680f, 0.044342f, 0.048798f, + 0.053619f, 0.059479f, 0.065491f, 0.071716f, 0.079285f, 0.087341f, 0.096497f, 0.106445f, + 0.117615f, 0.129395f, 0.142822f, 0.157959f, 0.174194f, 0.192139f, 0.210938f, 0.231567f, + 0.253906f, 0.277832f, 0.302979f, 0.329590f, 0.357422f, 0.385986f, 0.415283f, 0.446045f, + 0.475830f, 0.506348f, 0.537109f, 0.567871f, 0.599121f, 0.628418f, 0.657227f, 0.685547f, + 0.712891f, 0.739746f, 0.895508f, 0.902344f, 0.904297f, 0.904785f, 0.904297f, 0.904297f, + 0.000372f, 0.001397f, 0.002384f, 0.003529f, 0.004509f, 0.005505f, 0.007015f, 0.008026f, + 0.009201f, 0.010292f, 0.011536f, 0.013130f, 0.014915f, 0.016266f, 0.018387f, 0.020218f, + 0.022034f, 0.024399f, 0.026901f, 0.029617f, 0.032623f, 0.035950f, 0.039032f, 0.043030f, + 0.047577f, 0.052612f, 0.057556f, 0.063477f, 0.070007f, 0.077209f, 0.085083f, 0.094177f, + 0.103821f, 0.114563f, 0.126709f, 0.140015f, 0.154785f, 0.171143f, 0.188477f, 0.208252f, + 0.229004f, 0.251709f, 0.275879f, 0.302002f, 0.328613f, 0.356445f, 0.385986f, 0.416504f, + 0.447510f, 0.478760f, 0.510254f, 0.542480f, 0.573730f, 0.604980f, 0.635742f, 0.665527f, + 0.694336f, 0.722656f, 0.887695f, 0.897949f, 0.898926f, 0.899414f, 0.897949f, 0.898438f, + 0.000661f, 0.001222f, 0.002275f, 0.003313f, 0.004181f, 0.005119f, 0.006275f, 0.007126f, + 0.007988f, 0.009354f, 0.010300f, 0.012062f, 0.013313f, 0.014786f, 0.016251f, 0.018021f, + 0.019516f, 0.021896f, 0.024017f, 0.026428f, 0.029022f, 0.031799f, 0.034698f, 0.038422f, + 0.042236f, 0.046265f, 0.050598f, 0.055786f, 0.061493f, 0.067871f, 0.074951f, 0.082458f, + 0.091187f, 0.101135f, 0.111694f, 0.123779f, 0.137207f, 0.151978f, 0.167969f, 0.186157f, + 0.205688f, 0.226929f, 0.249756f, 0.274658f, 0.301025f, 0.328613f, 0.357178f, 0.387207f, + 0.418457f, 0.450195f, 0.482422f, 0.516113f, 0.548340f, 0.580566f, 0.612305f, 0.644043f, + 0.674805f, 0.705566f, 0.882812f, 0.890625f, 0.892578f, 0.893066f, 0.892578f, 0.893066f, + 0.000379f, 0.001211f, 0.002066f, 0.003040f, 0.003834f, 0.004616f, 0.005608f, 0.006550f, + 0.007347f, 0.008408f, 0.009529f, 0.010452f, 0.011940f, 0.013039f, 0.014313f, 0.015961f, + 0.017746f, 0.019180f, 0.021210f, 0.023239f, 0.025482f, 0.028030f, 0.030640f, 0.033661f, + 0.036987f, 0.040466f, 0.044617f, 0.048828f, 0.053894f, 0.059235f, 0.065674f, 0.072632f, + 0.079956f, 0.089050f, 0.098267f, 0.109009f, 0.120789f, 0.134521f, 0.148926f, 0.165405f, + 0.183228f, 0.202881f, 0.224731f, 0.248779f, 0.273193f, 0.300049f, 0.329346f, 0.358887f, + 0.390381f, 0.421387f, 0.454590f, 0.488770f, 0.521484f, 0.555176f, 0.588379f, 0.621582f, + 0.654785f, 0.686523f, 0.875488f, 0.885254f, 0.886719f, 0.886230f, 0.886719f, 0.886230f, + 0.000282f, 0.001126f, 0.002010f, 0.002661f, 0.003340f, 0.004269f, 0.005192f, 0.005711f, + 0.006638f, 0.007278f, 0.008377f, 0.009483f, 0.010567f, 0.011742f, 0.012871f, 0.014061f, + 0.015480f, 0.017242f, 0.018799f, 0.020584f, 0.022461f, 0.024490f, 0.027100f, 0.029434f, + 0.032532f, 0.035706f, 0.038971f, 0.042969f, 0.047241f, 0.052094f, 0.057373f, 0.063232f, + 0.070007f, 0.077637f, 0.086243f, 0.095764f, 0.106323f, 0.118164f, 0.131470f, 0.146118f, + 0.162720f, 0.181030f, 0.200928f, 0.223022f, 0.247070f, 0.272705f, 0.300537f, 0.330322f, + 0.360107f, 0.393066f, 0.426270f, 0.459473f, 0.494629f, 0.529297f, 0.564453f, 0.598633f, + 0.633789f, 0.666504f, 0.868652f, 0.878418f, 0.879395f, 0.880371f, 0.879883f, 0.879395f, + 0.000340f, 0.000963f, 0.001826f, 0.002459f, 0.003307f, 0.003847f, 0.004719f, 0.004936f, + 0.005802f, 0.006695f, 0.007748f, 0.008522f, 0.009506f, 0.010376f, 0.011383f, 0.012787f, + 0.013901f, 0.015182f, 0.016663f, 0.018051f, 0.019821f, 0.021759f, 0.023590f, 0.025818f, + 0.028519f, 0.030975f, 0.034210f, 0.037811f, 0.040802f, 0.045349f, 0.050201f, 0.055298f, + 0.061310f, 0.067688f, 0.074768f, 0.083557f, 0.092590f, 0.103149f, 0.115479f, 0.128906f, + 0.142944f, 0.160278f, 0.178345f, 0.198975f, 0.221802f, 0.246094f, 0.272949f, 0.301514f, + 0.331543f, 0.363525f, 0.396729f, 0.430908f, 0.466553f, 0.501953f, 0.538086f, 0.574707f, + 0.610840f, 0.646973f, 0.860352f, 0.870605f, 0.873047f, 0.873047f, 0.873535f, 0.872559f, + 0.000225f, 0.001021f, 0.001653f, 0.002302f, 0.002827f, 0.003448f, 0.003937f, 0.004486f, + 0.004986f, 0.006252f, 0.007000f, 0.007416f, 0.008224f, 0.009300f, 0.009972f, 0.011322f, + 0.012115f, 0.013428f, 0.014557f, 0.015991f, 0.017532f, 0.018982f, 0.020706f, 0.022781f, + 0.024567f, 0.027161f, 0.029770f, 0.032623f, 0.035828f, 0.039551f, 0.043030f, 0.047852f, + 0.052795f, 0.058716f, 0.065125f, 0.072266f, 0.080566f, 0.089661f, 0.100403f, 0.112854f, + 0.125732f, 0.140991f, 0.157349f, 0.176514f, 0.197510f, 0.220581f, 0.245850f, 0.273438f, + 0.302979f, 0.334717f, 0.367676f, 0.401855f, 0.437256f, 0.474609f, 0.512695f, 0.549316f, + 0.588379f, 0.625000f, 0.853027f, 0.863281f, 0.866211f, 0.866211f, 0.866699f, 0.866211f, + 0.000324f, 0.000845f, 0.001534f, 0.002172f, 0.002474f, 0.003115f, 0.003824f, 0.003937f, + 0.004848f, 0.005417f, 0.006222f, 0.006760f, 0.007446f, 0.008186f, 0.009102f, 0.009888f, + 0.010620f, 0.011551f, 0.012878f, 0.013954f, 0.015106f, 0.016495f, 0.018143f, 0.019669f, + 0.021713f, 0.023468f, 0.025818f, 0.028183f, 0.031021f, 0.033783f, 0.037445f, 0.041534f, + 0.045532f, 0.050598f, 0.056152f, 0.062500f, 0.069580f, 0.077698f, 0.086914f, 0.097717f, + 0.108948f, 0.123047f, 0.138184f, 0.155273f, 0.174438f, 0.196167f, 0.219604f, 0.246094f, + 0.274902f, 0.305420f, 0.338379f, 0.372314f, 0.408936f, 0.445801f, 0.484131f, 0.523438f, + 0.562988f, 0.604492f, 0.843262f, 0.856445f, 0.857422f, 0.857910f, 0.858398f, 0.858398f, + 0.000331f, 0.000944f, 0.001288f, 0.001833f, 0.002388f, 0.002769f, 0.003216f, 0.003664f, + 0.004276f, 0.004822f, 0.005173f, 0.005951f, 0.006531f, 0.007156f, 0.007896f, 0.008438f, + 0.009430f, 0.010117f, 0.011208f, 0.012253f, 0.012970f, 0.014297f, 0.015572f, 0.017059f, + 0.018692f, 0.020264f, 0.022125f, 0.024323f, 0.026474f, 0.029343f, 0.032288f, 0.035461f, + 0.039062f, 0.043335f, 0.047821f, 0.053558f, 0.059509f, 0.067078f, 0.074341f, 0.083862f, + 0.094360f, 0.106323f, 0.120117f, 0.135254f, 0.153442f, 0.172852f, 0.195190f, 0.220337f, + 0.246948f, 0.276611f, 0.308594f, 0.343262f, 0.379150f, 0.416992f, 0.455811f, 0.496582f, + 0.537598f, 0.579590f, 0.834473f, 0.847656f, 0.850098f, 0.850098f, 0.849609f, 0.850098f, + 0.000316f, 0.000824f, 0.001088f, 0.001693f, 0.002062f, 0.002403f, 0.003027f, 0.003460f, + 0.003712f, 0.004166f, 0.004765f, 0.005138f, 0.005871f, 0.006218f, 0.006924f, 0.007431f, + 0.008255f, 0.008850f, 0.009781f, 0.010590f, 0.011391f, 0.012367f, 0.013474f, 0.014709f, + 0.015823f, 0.017685f, 0.018982f, 0.020844f, 0.022629f, 0.025070f, 0.027496f, 0.030380f, + 0.033447f, 0.037140f, 0.041168f, 0.045654f, 0.050720f, 0.057251f, 0.063965f, 0.071777f, + 0.080811f, 0.091248f, 0.103638f, 0.117126f, 0.133179f, 0.151001f, 0.171631f, 0.194580f, + 0.220337f, 0.248413f, 0.279785f, 0.313965f, 0.349365f, 0.386963f, 0.426514f, 0.468262f, + 0.510742f, 0.555176f, 0.825684f, 0.838379f, 0.839844f, 0.841309f, 0.841309f, 0.841309f, + 0.000210f, 0.000717f, 0.001084f, 0.001454f, 0.001882f, 0.002096f, 0.002468f, 0.002996f, + 0.003395f, 0.003632f, 0.004066f, 0.004467f, 0.005020f, 0.005569f, 0.005917f, 0.006474f, + 0.006958f, 0.007576f, 0.008453f, 0.009140f, 0.010002f, 0.010689f, 0.011520f, 0.012596f, + 0.013695f, 0.014938f, 0.016220f, 0.017593f, 0.019424f, 0.020996f, 0.023331f, 0.025696f, + 0.028427f, 0.031067f, 0.034668f, 0.038422f, 0.042908f, 0.048096f, 0.054016f, 0.060699f, + 0.068909f, 0.077515f, 0.088501f, 0.100464f, 0.114624f, 0.130615f, 0.149048f, 0.170654f, + 0.194214f, 0.222046f, 0.251465f, 0.283936f, 0.319580f, 0.357422f, 0.397461f, 0.440186f, + 0.484375f, 0.528320f, 0.814941f, 0.828613f, 0.830078f, 0.832031f, 0.831543f, 0.833008f, + 0.000234f, 0.000576f, 0.000939f, 0.001362f, 0.001481f, 0.001999f, 0.002228f, 0.002714f, + 0.002846f, 0.003218f, 0.003555f, 0.003933f, 0.004356f, 0.004787f, 0.005169f, 0.005604f, + 0.006145f, 0.006554f, 0.007275f, 0.007675f, 0.008293f, 0.009201f, 0.009979f, 0.010651f, + 0.011497f, 0.012527f, 0.013893f, 0.014771f, 0.016373f, 0.017975f, 0.019455f, 0.021683f, + 0.023895f, 0.026077f, 0.029114f, 0.032257f, 0.036072f, 0.040405f, 0.045197f, 0.050903f, + 0.057770f, 0.065613f, 0.074524f, 0.085388f, 0.097656f, 0.111694f, 0.128540f, 0.147949f, + 0.170166f, 0.195435f, 0.223389f, 0.255127f, 0.289551f, 0.327393f, 0.367432f, 0.410400f, + 0.455078f, 0.502441f, 0.804199f, 0.818848f, 0.821289f, 0.822266f, 0.822754f, 0.822266f, + 0.000213f, 0.000506f, 0.000756f, 0.001184f, 0.001396f, 0.001697f, 0.002010f, 0.002474f, + 0.002569f, 0.002918f, 0.003090f, 0.003496f, 0.003855f, 0.004139f, 0.004478f, 0.004852f, + 0.005253f, 0.005665f, 0.006100f, 0.006638f, 0.007080f, 0.007744f, 0.008293f, 0.009132f, + 0.009750f, 0.010658f, 0.011536f, 0.012413f, 0.013779f, 0.014908f, 0.016510f, 0.017990f, + 0.019623f, 0.021637f, 0.024109f, 0.026718f, 0.029922f, 0.033539f, 0.037567f, 0.042572f, + 0.048279f, 0.054413f, 0.062042f, 0.071472f, 0.081909f, 0.094604f, 0.109436f, 0.127075f, + 0.146484f, 0.170044f, 0.196533f, 0.226929f, 0.260254f, 0.296875f, 0.337402f, 0.380615f, + 0.426025f, 0.475342f, 0.792969f, 0.807617f, 0.811035f, 0.811523f, 0.812012f, 0.813477f, + 0.000119f, 0.000422f, 0.000883f, 0.001027f, 0.001189f, 0.001604f, 0.001783f, 0.001913f, + 0.002228f, 0.002522f, 0.002645f, 0.003086f, 0.003199f, 0.003534f, 0.003790f, 0.004105f, + 0.004421f, 0.004902f, 0.005283f, 0.005589f, 0.006039f, 0.006401f, 0.007088f, 0.007519f, + 0.008217f, 0.008812f, 0.009712f, 0.010460f, 0.011337f, 0.012413f, 0.013596f, 0.014687f, + 0.016159f, 0.018051f, 0.019913f, 0.022018f, 0.024551f, 0.027359f, 0.030792f, 0.035065f, + 0.039703f, 0.044983f, 0.051392f, 0.059204f, 0.068176f, 0.079102f, 0.092041f, 0.106873f, + 0.125000f, 0.145874f, 0.170532f, 0.198975f, 0.230835f, 0.267090f, 0.306641f, 0.349854f, + 0.395508f, 0.445801f, 0.780762f, 0.796875f, 0.799805f, 0.801270f, 0.801270f, 0.801270f, + 0.000227f, 0.000521f, 0.000698f, 0.000817f, 0.001236f, 0.001359f, 0.001540f, 0.001619f, + 0.001940f, 0.002089f, 0.002430f, 0.002552f, 0.002655f, 0.002932f, 0.003241f, 0.003532f, + 0.003841f, 0.004120f, 0.004292f, 0.004761f, 0.005051f, 0.005459f, 0.005886f, 0.006290f, + 0.006821f, 0.007320f, 0.007889f, 0.008652f, 0.009399f, 0.010063f, 0.010887f, 0.012215f, + 0.013206f, 0.014648f, 0.016037f, 0.017853f, 0.019958f, 0.022491f, 0.024994f, 0.028091f, + 0.032135f, 0.036530f, 0.041809f, 0.048096f, 0.055908f, 0.064941f, 0.076050f, 0.089050f, + 0.104980f, 0.123596f, 0.146118f, 0.172363f, 0.203003f, 0.237183f, 0.276123f, 0.318359f, + 0.365479f, 0.416504f, 0.768555f, 0.784668f, 0.788086f, 0.789551f, 0.790039f, 0.790039f, + 0.000000f, 0.000448f, 0.000566f, 0.000688f, 0.000985f, 0.001144f, 0.001305f, 0.001437f, + 0.001622f, 0.001731f, 0.001989f, 0.002174f, 0.002338f, 0.002552f, 0.002739f, 0.002924f, + 0.003239f, 0.003405f, 0.003628f, 0.003933f, 0.004200f, 0.004463f, 0.004948f, 0.005245f, + 0.005615f, 0.006138f, 0.006699f, 0.006989f, 0.007793f, 0.008247f, 0.008980f, 0.009918f, + 0.010857f, 0.011795f, 0.013016f, 0.014244f, 0.015930f, 0.017868f, 0.019882f, 0.022659f, + 0.025543f, 0.029160f, 0.033417f, 0.038635f, 0.044983f, 0.052338f, 0.061859f, 0.072693f, + 0.086487f, 0.102966f, 0.122864f, 0.146973f, 0.175049f, 0.207764f, 0.245605f, 0.287842f, + 0.334229f, 0.385986f, 0.755371f, 0.771973f, 0.775879f, 0.777344f, 0.777832f, 0.778809f, + 0.000000f, 0.000303f, 0.000512f, 0.000752f, 0.000828f, 0.001036f, 0.001184f, 0.001292f, + 0.001281f, 0.001460f, 0.001717f, 0.001843f, 0.001955f, 0.002060f, 0.002317f, 0.002476f, + 0.002542f, 0.002869f, 0.003088f, 0.003313f, 0.003559f, 0.003693f, 0.004082f, 0.004318f, + 0.004696f, 0.005070f, 0.005245f, 0.005741f, 0.006126f, 0.006771f, 0.007298f, 0.007828f, + 0.008583f, 0.009338f, 0.010246f, 0.011528f, 0.012794f, 0.014160f, 0.015717f, 0.017853f, + 0.019958f, 0.022995f, 0.026291f, 0.030533f, 0.035553f, 0.041565f, 0.048981f, 0.058350f, + 0.069824f, 0.083801f, 0.101685f, 0.122437f, 0.148438f, 0.178833f, 0.215454f, 0.256104f, + 0.302490f, 0.354736f, 0.741699f, 0.758789f, 0.762695f, 0.763672f, 0.764648f, 0.765625f, + 0.000097f, 0.000306f, 0.000370f, 0.000618f, 0.000713f, 0.000810f, 0.000953f, 0.000920f, + 0.001167f, 0.001238f, 0.001406f, 0.001483f, 0.001540f, 0.001794f, 0.001970f, 0.002028f, + 0.002264f, 0.002354f, 0.002459f, 0.002636f, 0.002827f, 0.003096f, 0.003342f, 0.003544f, + 0.003881f, 0.003948f, 0.004459f, 0.004742f, 0.005005f, 0.005394f, 0.005867f, 0.006374f, + 0.006901f, 0.007507f, 0.008202f, 0.008881f, 0.010017f, 0.010986f, 0.012451f, 0.013809f, + 0.015511f, 0.017776f, 0.020325f, 0.023453f, 0.027390f, 0.032349f, 0.038330f, 0.045624f, + 0.055359f, 0.067078f, 0.082275f, 0.101013f, 0.123657f, 0.151611f, 0.185791f, 0.225342f, + 0.270752f, 0.322754f, 0.727051f, 0.746094f, 0.749512f, 0.750977f, 0.751953f, 0.751953f, + 0.000228f, 0.000211f, 0.000504f, 0.000443f, 0.000523f, 0.000672f, 0.000703f, 0.000902f, + 0.000975f, 0.001010f, 0.001122f, 0.001178f, 0.001257f, 0.001424f, 0.001575f, 0.001631f, + 0.001789f, 0.001910f, 0.002090f, 0.002144f, 0.002411f, 0.002520f, 0.002703f, 0.002827f, + 0.003010f, 0.003195f, 0.003403f, 0.003750f, 0.003960f, 0.004276f, 0.004780f, 0.005005f, + 0.005432f, 0.005981f, 0.006428f, 0.007015f, 0.007812f, 0.008537f, 0.009415f, 0.010658f, + 0.011963f, 0.013443f, 0.015396f, 0.017731f, 0.020782f, 0.024414f, 0.029083f, 0.034912f, + 0.042572f, 0.052216f, 0.064392f, 0.080017f, 0.100220f, 0.126099f, 0.157227f, 0.194946f, + 0.239136f, 0.290283f, 0.712402f, 0.731445f, 0.734863f, 0.736816f, 0.737305f, 0.737793f, + 0.000211f, 0.000198f, 0.000195f, 0.000413f, 0.000517f, 0.000531f, 0.000586f, 0.000736f, + 0.000769f, 0.000809f, 0.000970f, 0.001007f, 0.001067f, 0.001134f, 0.001211f, 0.001348f, + 0.001341f, 0.001534f, 0.001617f, 0.001734f, 0.001942f, 0.002010f, 0.002110f, 0.002268f, + 0.002523f, 0.002607f, 0.002829f, 0.003004f, 0.003113f, 0.003403f, 0.003681f, 0.003990f, + 0.004257f, 0.004601f, 0.005039f, 0.005444f, 0.005993f, 0.006561f, 0.007278f, 0.008026f, + 0.009041f, 0.010124f, 0.011513f, 0.013222f, 0.015320f, 0.017914f, 0.021408f, 0.025833f, + 0.031433f, 0.039429f, 0.049255f, 0.062286f, 0.079102f, 0.101135f, 0.130005f, 0.164917f, + 0.207764f, 0.258057f, 0.696289f, 0.716309f, 0.720215f, 0.722168f, 0.722656f, 0.723145f, + 0.000000f, 0.000080f, 0.000286f, 0.000374f, 0.000434f, 0.000457f, 0.000460f, 0.000568f, + 0.000610f, 0.000669f, 0.000715f, 0.000773f, 0.000877f, 0.000918f, 0.001030f, 0.000998f, + 0.001148f, 0.001134f, 0.001305f, 0.001369f, 0.001410f, 0.001534f, 0.001688f, 0.001780f, + 0.001899f, 0.001963f, 0.002081f, 0.002199f, 0.002470f, 0.002563f, 0.002758f, 0.003006f, + 0.003273f, 0.003531f, 0.003817f, 0.004093f, 0.004532f, 0.004993f, 0.005463f, 0.006027f, + 0.006657f, 0.007492f, 0.008537f, 0.009689f, 0.011246f, 0.012985f, 0.015518f, 0.018539f, + 0.022827f, 0.028534f, 0.036072f, 0.046234f, 0.060028f, 0.078918f, 0.103943f, 0.136353f, + 0.176514f, 0.225952f, 0.679199f, 0.699707f, 0.703613f, 0.706055f, 0.706543f, 0.708008f, + 0.000089f, 0.000176f, 0.000232f, 0.000342f, 0.000317f, 0.000319f, 0.000420f, 0.000382f, + 0.000494f, 0.000515f, 0.000612f, 0.000650f, 0.000671f, 0.000701f, 0.000732f, 0.000859f, + 0.000888f, 0.000923f, 0.001002f, 0.001048f, 0.001170f, 0.001234f, 0.001292f, 0.001426f, + 0.001414f, 0.001476f, 0.001622f, 0.001723f, 0.001892f, 0.001976f, 0.002237f, 0.002239f, + 0.002476f, 0.002645f, 0.002817f, 0.003092f, 0.003355f, 0.003626f, 0.003979f, 0.004459f, + 0.004948f, 0.005527f, 0.006256f, 0.007027f, 0.008026f, 0.009270f, 0.010918f, 0.013184f, + 0.016098f, 0.019913f, 0.025253f, 0.033112f, 0.043762f, 0.059113f, 0.079956f, 0.109009f, + 0.146729f, 0.193726f, 0.660645f, 0.682129f, 0.688477f, 0.690430f, 0.689941f, 0.690918f, + 0.000000f, 0.000063f, 0.000194f, 0.000281f, 0.000187f, 0.000325f, 0.000278f, 0.000272f, + 0.000386f, 0.000466f, 0.000462f, 0.000510f, 0.000519f, 0.000587f, 0.000613f, 0.000603f, + 0.000671f, 0.000709f, 0.000744f, 0.000808f, 0.000858f, 0.000913f, 0.000963f, 0.000999f, + 0.001062f, 0.001106f, 0.001262f, 0.001266f, 0.001431f, 0.001562f, 0.001672f, 0.001693f, + 0.001810f, 0.001976f, 0.002090f, 0.002289f, 0.002422f, 0.002666f, 0.002916f, 0.003166f, + 0.003513f, 0.003862f, 0.004318f, 0.004936f, 0.005646f, 0.006493f, 0.007626f, 0.009048f, + 0.010826f, 0.013519f, 0.017166f, 0.022476f, 0.030258f, 0.041687f, 0.058807f, 0.083435f, + 0.117737f, 0.162598f, 0.644043f, 0.666504f, 0.670410f, 0.673340f, 0.674316f, 0.675293f, + 0.000000f, 0.000117f, 0.000112f, 0.000178f, 0.000216f, 0.000222f, 0.000271f, 0.000229f, + 0.000280f, 0.000283f, 0.000326f, 0.000376f, 0.000376f, 0.000443f, 0.000456f, 0.000470f, + 0.000499f, 0.000507f, 0.000547f, 0.000566f, 0.000613f, 0.000667f, 0.000692f, 0.000749f, + 0.000773f, 0.000803f, 0.000917f, 0.000924f, 0.000997f, 0.001055f, 0.001096f, 0.001236f, + 0.001261f, 0.001376f, 0.001466f, 0.001693f, 0.001695f, 0.001826f, 0.002077f, 0.002226f, + 0.002411f, 0.002686f, 0.002985f, 0.003368f, 0.003801f, 0.004353f, 0.005131f, 0.005974f, + 0.007370f, 0.008842f, 0.011345f, 0.014717f, 0.019699f, 0.027893f, 0.040619f, 0.060730f, + 0.090454f, 0.132080f, 0.625488f, 0.649414f, 0.653809f, 0.655273f, 0.656250f, 0.658203f, + 0.000000f, 0.000000f, 0.000108f, 0.000121f, 0.000136f, 0.000154f, 0.000158f, 0.000191f, + 0.000203f, 0.000213f, 0.000270f, 0.000223f, 0.000232f, 0.000270f, 0.000296f, 0.000342f, + 0.000324f, 0.000352f, 0.000453f, 0.000407f, 0.000450f, 0.000459f, 0.000486f, 0.000524f, + 0.000545f, 0.000565f, 0.000630f, 0.000620f, 0.000678f, 0.000803f, 0.000763f, 0.000813f, + 0.000860f, 0.000937f, 0.001035f, 0.001101f, 0.001141f, 0.001254f, 0.001399f, 0.001449f, + 0.001616f, 0.001779f, 0.001942f, 0.002220f, 0.002493f, 0.002808f, 0.003258f, 0.003895f, + 0.004623f, 0.005714f, 0.007111f, 0.009178f, 0.012367f, 0.017319f, 0.025879f, 0.040741f, + 0.065552f, 0.103577f, 0.606934f, 0.630371f, 0.635254f, 0.637695f, 0.638672f, 0.639648f, + 0.000000f, 0.000109f, 0.000102f, 0.000098f, 0.000105f, 0.000110f, 0.000113f, 0.000122f, + 0.000117f, 0.000132f, 0.000147f, 0.000189f, 0.000163f, 0.000212f, 0.000213f, 0.000222f, + 0.000224f, 0.000233f, 0.000258f, 0.000262f, 0.000274f, 0.000305f, 0.000340f, 0.000329f, + 0.000358f, 0.000376f, 0.000445f, 0.000418f, 0.000447f, 0.000478f, 0.000546f, 0.000530f, + 0.000594f, 0.000626f, 0.000679f, 0.000745f, 0.000763f, 0.000804f, 0.000869f, 0.000952f, + 0.001025f, 0.001119f, 0.001254f, 0.001359f, 0.001584f, 0.001728f, 0.001993f, 0.002295f, + 0.002790f, 0.003298f, 0.004135f, 0.005363f, 0.007267f, 0.010277f, 0.015350f, 0.024994f, + 0.043518f, 0.076599f, 0.585938f, 0.611816f, 0.616211f, 0.619141f, 0.619629f, 0.620605f, + 0.000000f, 0.000102f, 0.000095f, 0.000090f, 0.000085f, 0.000081f, 0.000078f, 0.000073f, + 0.000075f, 0.000079f, 0.000087f, 0.000092f, 0.000095f, 0.000094f, 0.000133f, 0.000143f, + 0.000152f, 0.000155f, 0.000161f, 0.000195f, 0.000174f, 0.000183f, 0.000188f, 0.000216f, + 0.000233f, 0.000241f, 0.000241f, 0.000257f, 0.000269f, 0.000302f, 0.000325f, 0.000321f, + 0.000350f, 0.000363f, 0.000405f, 0.000426f, 0.000456f, 0.000486f, 0.000539f, 0.000560f, + 0.000614f, 0.000671f, 0.000722f, 0.000811f, 0.000891f, 0.000989f, 0.001162f, 0.001312f, + 0.001545f, 0.001863f, 0.002340f, 0.002920f, 0.003963f, 0.005615f, 0.008499f, 0.013931f, + 0.025833f, 0.052094f, 0.566406f, 0.591797f, 0.597168f, 0.599609f, 0.601074f, 0.601562f, + 0.000110f, 0.000092f, 0.000084f, 0.000077f, 0.000073f, 0.000070f, 0.000067f, 0.000064f, + 0.000061f, 0.000058f, 0.000055f, 0.000064f, 0.000051f, 0.000054f, 0.000071f, 0.000059f, + 0.000082f, 0.000081f, 0.000090f, 0.000087f, 0.000099f, 0.000103f, 0.000127f, 0.000131f, + 0.000135f, 0.000139f, 0.000142f, 0.000143f, 0.000156f, 0.000162f, 0.000173f, 0.000194f, + 0.000206f, 0.000201f, 0.000233f, 0.000225f, 0.000246f, 0.000294f, 0.000279f, 0.000313f, + 0.000333f, 0.000356f, 0.000395f, 0.000432f, 0.000459f, 0.000511f, 0.000577f, 0.000664f, + 0.000770f, 0.000916f, 0.001114f, 0.001400f, 0.001881f, 0.002665f, 0.004093f, 0.006966f, + 0.013290f, 0.031525f, 0.545410f, 0.571777f, 0.577637f, 0.579102f, 0.580566f, 0.581055f, + 0.000093f, 0.000073f, 0.000066f, 0.000061f, 0.000056f, 0.000054f, 0.000051f, 0.000050f, + 0.000048f, 0.000047f, 0.000045f, 0.000044f, 0.000042f, 0.000040f, 0.000038f, 0.000036f, + 0.000039f, 0.000033f, 0.000041f, 0.000040f, 0.000046f, 0.000048f, 0.000051f, 0.000057f, + 0.000060f, 0.000066f, 0.000062f, 0.000067f, 0.000080f, 0.000085f, 0.000088f, 0.000092f, + 0.000092f, 0.000097f, 0.000109f, 0.000109f, 0.000117f, 0.000132f, 0.000134f, 0.000147f, + 0.000154f, 0.000156f, 0.000188f, 0.000197f, 0.000219f, 0.000234f, 0.000266f, 0.000286f, + 0.000335f, 0.000397f, 0.000472f, 0.000566f, 0.000751f, 0.001039f, 0.001626f, 0.002834f, + 0.005909f, 0.015411f, 0.524414f, 0.551270f, 0.557129f, 0.559570f, 0.561035f, 0.561523f, + 0.000060f, 0.000046f, 0.000039f, 0.000037f, 0.000034f, 0.000034f, 0.000032f, 0.000032f, + 0.000031f, 0.000029f, 0.000029f, 0.000029f, 0.000028f, 0.000028f, 0.000028f, 0.000027f, + 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000021f, + 0.000020f, 0.000018f, 0.000018f, 0.000023f, 0.000024f, 0.000028f, 0.000032f, 0.000033f, + 0.000032f, 0.000038f, 0.000039f, 0.000043f, 0.000046f, 0.000050f, 0.000052f, 0.000053f, + 0.000057f, 0.000067f, 0.000073f, 0.000068f, 0.000076f, 0.000083f, 0.000097f, 0.000110f, + 0.000116f, 0.000127f, 0.000157f, 0.000185f, 0.000246f, 0.000319f, 0.000466f, 0.000810f, + 0.001841f, 0.005795f, 0.503418f, 0.531250f, 0.536621f, 0.539062f, 0.540039f, 0.540527f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000004f, 0.000005f, 0.000005f, 0.000008f, + 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000010f, 0.000010f, 0.000011f, + 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000012f, + 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, + 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000012f, + 0.000013f, 0.000014f, 0.000015f, 0.000017f, 0.000020f, 0.000021f, 0.000018f, 0.000023f, + 0.000023f, 0.000025f, 0.000030f, 0.000038f, 0.000043f, 0.000059f, 0.000079f, 0.000131f, + 0.000279f, 0.001210f, 0.481934f, 0.510254f, 0.516113f, 0.518555f, 0.520020f, 0.520508f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, + 0.000006f, 0.000022f, 0.460449f, 0.489258f, 0.495850f, 0.498291f, 0.499512f, 0.500000f, + }, + { + 0.038544f, 0.111450f, 0.177368f, 0.237061f, 0.290771f, 0.339600f, 0.384277f, 0.425293f, + 0.462402f, 0.497070f, 0.527344f, 0.556152f, 0.583496f, 0.607910f, 0.630859f, 0.652344f, + 0.672852f, 0.690918f, 0.708496f, 0.724609f, 0.740723f, 0.754883f, 0.768066f, 0.780273f, + 0.792480f, 0.803711f, 0.815430f, 0.825684f, 0.835449f, 0.844727f, 0.853516f, 0.861816f, + 0.870117f, 0.877930f, 0.885254f, 0.892578f, 0.899414f, 0.905762f, 0.912109f, 0.918945f, + 0.923828f, 0.928711f, 0.934082f, 0.939941f, 0.944824f, 0.949707f, 0.953613f, 0.958496f, + 0.962402f, 0.967285f, 0.971191f, 0.974609f, 0.979004f, 0.982422f, 0.985352f, 0.989258f, + 0.992188f, 0.996094f, 0.996094f, 0.990723f, 0.986328f, 0.982422f, 0.978516f, 0.975098f, + 0.029068f, 0.087219f, 0.142578f, 0.195190f, 0.244629f, 0.291016f, 0.334717f, 0.375000f, + 0.412842f, 0.446533f, 0.481201f, 0.511230f, 0.539062f, 0.565918f, 0.590820f, 0.614258f, + 0.636719f, 0.656250f, 0.675293f, 0.693359f, 0.710449f, 0.726562f, 0.741699f, 0.755371f, + 0.769043f, 0.781738f, 0.793457f, 0.805176f, 0.815918f, 0.826660f, 0.835938f, 0.845703f, + 0.854980f, 0.862793f, 0.871582f, 0.879395f, 0.885742f, 0.894531f, 0.900879f, 0.907227f, + 0.913086f, 0.919434f, 0.925293f, 0.931152f, 0.936523f, 0.941406f, 0.946777f, 0.951172f, + 0.956055f, 0.960449f, 0.964355f, 0.968750f, 0.972656f, 0.976562f, 0.980469f, 0.984375f, + 0.987793f, 0.991211f, 0.994141f, 0.989258f, 0.984863f, 0.981445f, 0.977539f, 0.974121f, + 0.023346f, 0.069641f, 0.115601f, 0.160767f, 0.205078f, 0.248047f, 0.289062f, 0.328125f, + 0.365723f, 0.401367f, 0.435059f, 0.466309f, 0.495361f, 0.523926f, 0.550781f, 0.574707f, + 0.597168f, 0.620117f, 0.641113f, 0.660156f, 0.679688f, 0.696777f, 0.713379f, 0.728516f, + 0.743652f, 0.757324f, 0.770996f, 0.784180f, 0.795410f, 0.806641f, 0.817383f, 0.828125f, + 0.837891f, 0.847168f, 0.855957f, 0.864258f, 0.873047f, 0.880859f, 0.888672f, 0.895996f, + 0.902832f, 0.909668f, 0.915039f, 0.921875f, 0.927246f, 0.934082f, 0.937988f, 0.943848f, + 0.948242f, 0.953613f, 0.958496f, 0.962402f, 0.967285f, 0.971191f, 0.975098f, 0.979492f, + 0.983398f, 0.985840f, 0.992188f, 0.987305f, 0.983398f, 0.979980f, 0.977051f, 0.973633f, + 0.018600f, 0.056366f, 0.094299f, 0.133545f, 0.172729f, 0.211670f, 0.249756f, 0.285889f, + 0.322021f, 0.356934f, 0.390869f, 0.421875f, 0.452148f, 0.481201f, 0.509277f, 0.535156f, + 0.560059f, 0.583496f, 0.605957f, 0.626465f, 0.647949f, 0.665527f, 0.684570f, 0.700684f, + 0.717285f, 0.731934f, 0.746582f, 0.760254f, 0.773926f, 0.786621f, 0.799316f, 0.809082f, + 0.820312f, 0.830566f, 0.840332f, 0.850098f, 0.858887f, 0.867188f, 0.875000f, 0.883789f, + 0.890625f, 0.898926f, 0.904297f, 0.912109f, 0.916992f, 0.924316f, 0.930176f, 0.935547f, + 0.941406f, 0.945801f, 0.951172f, 0.956055f, 0.960938f, 0.964844f, 0.969727f, 0.974609f, + 0.978516f, 0.981934f, 0.989746f, 0.985840f, 0.981934f, 0.978516f, 0.975586f, 0.972168f, + 0.015068f, 0.046143f, 0.077881f, 0.111816f, 0.145264f, 0.179688f, 0.214600f, 0.249023f, + 0.282715f, 0.316406f, 0.348389f, 0.380615f, 0.411133f, 0.440430f, 0.468018f, 0.494873f, + 0.520508f, 0.546387f, 0.568848f, 0.591309f, 0.613281f, 0.634277f, 0.653809f, 0.670898f, + 0.688477f, 0.706055f, 0.721191f, 0.736328f, 0.751465f, 0.764648f, 0.776855f, 0.789551f, + 0.801270f, 0.812500f, 0.823730f, 0.833496f, 0.843262f, 0.853027f, 0.861328f, 0.869629f, + 0.878418f, 0.885742f, 0.893555f, 0.900391f, 0.908203f, 0.914551f, 0.921387f, 0.927246f, + 0.932617f, 0.938965f, 0.943848f, 0.949219f, 0.953613f, 0.959473f, 0.963867f, 0.968262f, + 0.972656f, 0.977051f, 0.987305f, 0.983887f, 0.980957f, 0.977051f, 0.974121f, 0.970703f, + 0.012444f, 0.037933f, 0.065613f, 0.093811f, 0.123474f, 0.153809f, 0.185059f, 0.215820f, + 0.247559f, 0.279297f, 0.310547f, 0.341309f, 0.370361f, 0.399658f, 0.428467f, 0.457031f, + 0.482910f, 0.507812f, 0.533203f, 0.556152f, 0.579590f, 0.600098f, 0.621094f, 0.641113f, + 0.659668f, 0.676270f, 0.695312f, 0.710449f, 0.726074f, 0.740723f, 0.756348f, 0.769043f, + 0.780762f, 0.794434f, 0.805176f, 0.816895f, 0.827637f, 0.837891f, 0.847168f, 0.855957f, + 0.865723f, 0.873535f, 0.882324f, 0.889648f, 0.897949f, 0.904297f, 0.911133f, 0.917480f, + 0.924316f, 0.930176f, 0.936523f, 0.941895f, 0.947266f, 0.952637f, 0.958008f, 0.962891f, + 0.967285f, 0.971680f, 0.984863f, 0.981934f, 0.978516f, 0.975586f, 0.972656f, 0.969238f, + 0.010353f, 0.032043f, 0.055359f, 0.079529f, 0.104980f, 0.131836f, 0.159424f, 0.187866f, + 0.216431f, 0.245239f, 0.275146f, 0.304199f, 0.333496f, 0.362061f, 0.390869f, 0.417969f, + 0.445068f, 0.471191f, 0.496582f, 0.520508f, 0.543457f, 0.566895f, 0.588867f, 0.608398f, + 0.628906f, 0.648438f, 0.666992f, 0.684570f, 0.701660f, 0.716797f, 0.732422f, 0.746582f, + 0.760254f, 0.773438f, 0.786133f, 0.798340f, 0.810547f, 0.821777f, 0.832520f, 0.842773f, + 0.851074f, 0.860352f, 0.869629f, 0.878906f, 0.886230f, 0.894043f, 0.901855f, 0.908691f, + 0.915527f, 0.922363f, 0.928223f, 0.935059f, 0.939941f, 0.945312f, 0.950684f, 0.956055f, + 0.962402f, 0.966797f, 0.982910f, 0.979980f, 0.977051f, 0.973633f, 0.970703f, 0.968262f, + 0.008598f, 0.027328f, 0.046417f, 0.067871f, 0.089905f, 0.113220f, 0.137695f, 0.163330f, + 0.189087f, 0.216064f, 0.243164f, 0.270752f, 0.298340f, 0.326416f, 0.354004f, 0.381348f, + 0.407715f, 0.434082f, 0.460205f, 0.484863f, 0.508789f, 0.532227f, 0.555176f, 0.577637f, + 0.598145f, 0.618652f, 0.637695f, 0.657227f, 0.674805f, 0.691406f, 0.708008f, 0.723633f, + 0.738770f, 0.751953f, 0.766113f, 0.779785f, 0.791992f, 0.804199f, 0.815918f, 0.825684f, + 0.836914f, 0.846680f, 0.856934f, 0.866211f, 0.874512f, 0.882324f, 0.890625f, 0.898438f, + 0.905273f, 0.913086f, 0.919922f, 0.926758f, 0.933105f, 0.938477f, 0.944824f, 0.951172f, + 0.955566f, 0.960938f, 0.980469f, 0.978027f, 0.974609f, 0.972168f, 0.969238f, 0.966797f, + 0.007561f, 0.023315f, 0.040344f, 0.058228f, 0.077148f, 0.097534f, 0.119995f, 0.142212f, + 0.165649f, 0.190063f, 0.214722f, 0.240601f, 0.266846f, 0.293457f, 0.319824f, 0.346924f, + 0.372314f, 0.398438f, 0.424561f, 0.449463f, 0.474609f, 0.498535f, 0.521973f, 0.544434f, + 0.566895f, 0.587402f, 0.608398f, 0.628418f, 0.645996f, 0.665039f, 0.683105f, 0.699219f, + 0.716309f, 0.731445f, 0.745117f, 0.760254f, 0.772949f, 0.786133f, 0.799316f, 0.809570f, + 0.820801f, 0.832031f, 0.843262f, 0.852051f, 0.861816f, 0.871094f, 0.880371f, 0.887695f, + 0.895996f, 0.904297f, 0.911133f, 0.917969f, 0.924805f, 0.931641f, 0.937012f, 0.943848f, + 0.949707f, 0.954590f, 0.978027f, 0.976074f, 0.973145f, 0.970215f, 0.967773f, 0.965332f, + 0.006416f, 0.020065f, 0.034943f, 0.050537f, 0.067078f, 0.084900f, 0.104065f, 0.123962f, + 0.145264f, 0.166748f, 0.189575f, 0.213501f, 0.237305f, 0.262451f, 0.288574f, 0.313477f, + 0.338623f, 0.364502f, 0.389893f, 0.414551f, 0.440186f, 0.464600f, 0.487549f, 0.510742f, + 0.534668f, 0.556641f, 0.578613f, 0.598145f, 0.618652f, 0.637207f, 0.655273f, 0.674805f, + 0.690430f, 0.707031f, 0.724121f, 0.739258f, 0.752930f, 0.767090f, 0.779785f, 0.792969f, + 0.805176f, 0.816895f, 0.827637f, 0.838379f, 0.849121f, 0.858398f, 0.868652f, 0.876465f, + 0.885742f, 0.894043f, 0.901855f, 0.909180f, 0.916992f, 0.923828f, 0.930176f, 0.937012f, + 0.943359f, 0.949707f, 0.975586f, 0.973633f, 0.971191f, 0.968262f, 0.965820f, 0.963379f, + 0.005802f, 0.017502f, 0.030045f, 0.043823f, 0.058014f, 0.074280f, 0.090759f, 0.108459f, + 0.127197f, 0.146484f, 0.167725f, 0.189087f, 0.211304f, 0.234497f, 0.258301f, 0.282471f, + 0.307373f, 0.331299f, 0.356689f, 0.381104f, 0.405762f, 0.430420f, 0.455078f, 0.478516f, + 0.502441f, 0.524414f, 0.545898f, 0.568359f, 0.588867f, 0.608887f, 0.628906f, 0.646973f, + 0.665527f, 0.684082f, 0.701172f, 0.715820f, 0.731934f, 0.746582f, 0.760742f, 0.774414f, + 0.787598f, 0.800781f, 0.812500f, 0.823730f, 0.834961f, 0.845703f, 0.855469f, 0.865234f, + 0.874512f, 0.883789f, 0.892090f, 0.899902f, 0.908203f, 0.916016f, 0.922852f, 0.930176f, + 0.936523f, 0.942871f, 0.972656f, 0.971191f, 0.968750f, 0.966309f, 0.963867f, 0.961426f, + 0.004734f, 0.014984f, 0.026169f, 0.038177f, 0.051208f, 0.065186f, 0.079468f, 0.095276f, + 0.111633f, 0.129639f, 0.148071f, 0.167969f, 0.188599f, 0.208984f, 0.231689f, 0.254639f, + 0.277832f, 0.301025f, 0.325439f, 0.349854f, 0.373779f, 0.397705f, 0.422607f, 0.446045f, + 0.469727f, 0.492676f, 0.514648f, 0.537598f, 0.559570f, 0.580078f, 0.600586f, 0.620117f, + 0.639648f, 0.658203f, 0.676758f, 0.692871f, 0.708984f, 0.725586f, 0.740723f, 0.755859f, + 0.769531f, 0.783691f, 0.796875f, 0.808594f, 0.820801f, 0.832520f, 0.842285f, 0.852539f, + 0.862793f, 0.872070f, 0.881836f, 0.890137f, 0.898926f, 0.906738f, 0.915039f, 0.922363f, + 0.929199f, 0.936523f, 0.969727f, 0.968750f, 0.966797f, 0.964355f, 0.961914f, 0.959473f, + 0.004055f, 0.013588f, 0.023132f, 0.033722f, 0.044891f, 0.057343f, 0.069763f, 0.083923f, + 0.098389f, 0.114441f, 0.131226f, 0.148682f, 0.167603f, 0.186768f, 0.207031f, 0.228516f, + 0.250732f, 0.272949f, 0.295410f, 0.318604f, 0.342285f, 0.365967f, 0.390381f, 0.413574f, + 0.437744f, 0.460938f, 0.484131f, 0.506348f, 0.528320f, 0.550781f, 0.572266f, 0.592773f, + 0.613281f, 0.632812f, 0.651367f, 0.669922f, 0.687500f, 0.704102f, 0.720215f, 0.735840f, + 0.751465f, 0.764160f, 0.778809f, 0.792480f, 0.803711f, 0.816895f, 0.829102f, 0.840332f, + 0.850586f, 0.860352f, 0.870605f, 0.880371f, 0.889648f, 0.897949f, 0.905762f, 0.914551f, + 0.922363f, 0.929199f, 0.967285f, 0.966797f, 0.964844f, 0.961426f, 0.959473f, 0.958008f, + 0.003611f, 0.011971f, 0.020401f, 0.030029f, 0.039185f, 0.050415f, 0.061737f, 0.074341f, + 0.086975f, 0.101074f, 0.115845f, 0.131958f, 0.148682f, 0.166626f, 0.185059f, 0.205200f, + 0.224854f, 0.245483f, 0.267334f, 0.290771f, 0.312988f, 0.335449f, 0.359619f, 0.382080f, + 0.406250f, 0.429443f, 0.452881f, 0.475830f, 0.498779f, 0.520996f, 0.542480f, 0.563477f, + 0.584473f, 0.604980f, 0.625977f, 0.643555f, 0.663086f, 0.681152f, 0.698242f, 0.714355f, + 0.729980f, 0.746582f, 0.760742f, 0.774902f, 0.788086f, 0.801758f, 0.814941f, 0.826660f, + 0.838867f, 0.848633f, 0.859863f, 0.869141f, 0.879395f, 0.889160f, 0.897949f, 0.906250f, + 0.914551f, 0.922363f, 0.963867f, 0.964355f, 0.961914f, 0.959961f, 0.957520f, 0.955078f, + 0.003393f, 0.010361f, 0.018494f, 0.026337f, 0.035187f, 0.044556f, 0.054596f, 0.065186f, + 0.077515f, 0.089783f, 0.102783f, 0.117249f, 0.132446f, 0.148071f, 0.165649f, 0.183838f, + 0.202026f, 0.221313f, 0.241943f, 0.262939f, 0.285156f, 0.307129f, 0.329102f, 0.352539f, + 0.375977f, 0.398438f, 0.421875f, 0.445312f, 0.468750f, 0.490723f, 0.512695f, 0.534668f, + 0.556641f, 0.577637f, 0.598633f, 0.619141f, 0.637695f, 0.656738f, 0.674805f, 0.692383f, + 0.709473f, 0.726074f, 0.742188f, 0.756836f, 0.771973f, 0.786133f, 0.799316f, 0.812012f, + 0.824707f, 0.835938f, 0.848145f, 0.858887f, 0.868164f, 0.878906f, 0.888184f, 0.897949f, + 0.906250f, 0.914551f, 0.960938f, 0.960938f, 0.959473f, 0.957520f, 0.955078f, 0.953125f, + 0.003084f, 0.009521f, 0.016144f, 0.023346f, 0.031204f, 0.039520f, 0.048523f, 0.057953f, + 0.068359f, 0.079895f, 0.091309f, 0.104126f, 0.117920f, 0.132324f, 0.147949f, 0.164062f, + 0.181396f, 0.199219f, 0.218872f, 0.238403f, 0.258545f, 0.279541f, 0.301758f, 0.323486f, + 0.346191f, 0.368408f, 0.391846f, 0.414795f, 0.437256f, 0.460693f, 0.483643f, 0.505371f, + 0.527832f, 0.550293f, 0.571289f, 0.591797f, 0.612305f, 0.632324f, 0.651855f, 0.670898f, + 0.687500f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768555f, 0.783691f, 0.796875f, + 0.811035f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868652f, 0.878418f, 0.887695f, + 0.897949f, 0.906250f, 0.958008f, 0.958008f, 0.957031f, 0.954590f, 0.952637f, 0.950684f, + 0.002666f, 0.008293f, 0.014297f, 0.021225f, 0.027847f, 0.035156f, 0.043274f, 0.051666f, + 0.060791f, 0.070801f, 0.081543f, 0.092407f, 0.104858f, 0.118530f, 0.131836f, 0.146606f, + 0.162598f, 0.179443f, 0.196777f, 0.215210f, 0.234375f, 0.254150f, 0.274414f, 0.295898f, + 0.317871f, 0.340088f, 0.362549f, 0.385010f, 0.407959f, 0.430664f, 0.454590f, 0.476562f, + 0.499268f, 0.521484f, 0.543945f, 0.564941f, 0.585938f, 0.606934f, 0.626465f, 0.646484f, + 0.665527f, 0.683594f, 0.701660f, 0.717773f, 0.735352f, 0.751465f, 0.766113f, 0.781738f, + 0.794922f, 0.808105f, 0.821289f, 0.833496f, 0.846191f, 0.857910f, 0.868164f, 0.878906f, + 0.889160f, 0.899414f, 0.954102f, 0.955566f, 0.953613f, 0.952148f, 0.950195f, 0.948730f, + 0.002396f, 0.007427f, 0.012978f, 0.018646f, 0.025024f, 0.031403f, 0.038788f, 0.046112f, + 0.054260f, 0.063354f, 0.072693f, 0.082886f, 0.093689f, 0.105469f, 0.118164f, 0.130859f, + 0.145996f, 0.161011f, 0.177124f, 0.193359f, 0.211670f, 0.230225f, 0.249634f, 0.270020f, + 0.290771f, 0.311768f, 0.333740f, 0.356201f, 0.378906f, 0.401855f, 0.424561f, 0.447754f, + 0.470215f, 0.493408f, 0.515137f, 0.537109f, 0.559570f, 0.580078f, 0.601074f, 0.621582f, + 0.642090f, 0.661621f, 0.679688f, 0.697754f, 0.715820f, 0.732422f, 0.749512f, 0.765137f, + 0.779785f, 0.794434f, 0.808594f, 0.821289f, 0.833496f, 0.846191f, 0.857910f, 0.869141f, + 0.879883f, 0.889648f, 0.950195f, 0.952637f, 0.950684f, 0.948730f, 0.947266f, 0.945801f, + 0.002029f, 0.006672f, 0.011658f, 0.016937f, 0.022476f, 0.028305f, 0.034332f, 0.041351f, + 0.048584f, 0.056671f, 0.064697f, 0.073853f, 0.083923f, 0.094482f, 0.105225f, 0.117798f, + 0.130615f, 0.144287f, 0.159302f, 0.174683f, 0.190430f, 0.208740f, 0.226318f, 0.245483f, + 0.264893f, 0.285400f, 0.307129f, 0.328369f, 0.350342f, 0.372803f, 0.395264f, 0.418701f, + 0.441650f, 0.462891f, 0.486816f, 0.509277f, 0.532227f, 0.553711f, 0.575684f, 0.596680f, + 0.617676f, 0.638672f, 0.657715f, 0.676758f, 0.695312f, 0.712402f, 0.729492f, 0.746582f, + 0.762695f, 0.778320f, 0.793457f, 0.807129f, 0.820801f, 0.833984f, 0.846191f, 0.858887f, + 0.869629f, 0.881836f, 0.947266f, 0.949219f, 0.947754f, 0.946289f, 0.944824f, 0.942871f, + 0.002142f, 0.006401f, 0.010841f, 0.015251f, 0.019760f, 0.025055f, 0.031113f, 0.037201f, + 0.043671f, 0.050598f, 0.057892f, 0.066101f, 0.075012f, 0.084351f, 0.093994f, 0.105164f, + 0.117432f, 0.129517f, 0.142822f, 0.157104f, 0.172119f, 0.188110f, 0.204956f, 0.223145f, + 0.241577f, 0.260498f, 0.280762f, 0.301758f, 0.322998f, 0.345215f, 0.366943f, 0.389893f, + 0.412842f, 0.435791f, 0.458008f, 0.482178f, 0.504395f, 0.526855f, 0.548828f, 0.571289f, + 0.592285f, 0.612793f, 0.634277f, 0.654297f, 0.673340f, 0.692383f, 0.710938f, 0.729004f, + 0.745117f, 0.762207f, 0.777832f, 0.792480f, 0.807129f, 0.821289f, 0.834961f, 0.847168f, + 0.859863f, 0.871582f, 0.943359f, 0.946289f, 0.944824f, 0.943359f, 0.941895f, 0.940430f, + 0.001760f, 0.005562f, 0.009621f, 0.013710f, 0.018417f, 0.022736f, 0.027939f, 0.033264f, + 0.039185f, 0.045166f, 0.052460f, 0.059143f, 0.067261f, 0.075745f, 0.084106f, 0.094177f, + 0.104980f, 0.116455f, 0.128174f, 0.141113f, 0.155151f, 0.169922f, 0.184937f, 0.201660f, + 0.219238f, 0.237549f, 0.256348f, 0.276367f, 0.296875f, 0.317871f, 0.339844f, 0.361572f, + 0.383789f, 0.407227f, 0.430908f, 0.453857f, 0.476807f, 0.498779f, 0.521973f, 0.543945f, + 0.567383f, 0.589355f, 0.609863f, 0.631348f, 0.651855f, 0.671875f, 0.690918f, 0.709961f, + 0.727539f, 0.744141f, 0.761719f, 0.777344f, 0.793457f, 0.808594f, 0.823242f, 0.835449f, + 0.848633f, 0.861328f, 0.938965f, 0.941895f, 0.941406f, 0.940430f, 0.938477f, 0.937012f, + 0.001594f, 0.005283f, 0.008789f, 0.012383f, 0.016342f, 0.020523f, 0.025284f, 0.029968f, + 0.035217f, 0.040741f, 0.046417f, 0.052948f, 0.060120f, 0.067566f, 0.076294f, 0.084534f, + 0.093750f, 0.104614f, 0.115173f, 0.126831f, 0.139160f, 0.152832f, 0.166748f, 0.181885f, + 0.198853f, 0.215698f, 0.233521f, 0.252197f, 0.271973f, 0.291992f, 0.313477f, 0.334717f, + 0.357178f, 0.379395f, 0.401855f, 0.425537f, 0.448242f, 0.471924f, 0.495361f, 0.517578f, + 0.541016f, 0.562988f, 0.585938f, 0.607422f, 0.627930f, 0.649414f, 0.670410f, 0.688965f, + 0.708496f, 0.727539f, 0.744629f, 0.761719f, 0.778809f, 0.794922f, 0.809082f, 0.824219f, + 0.838379f, 0.851074f, 0.935059f, 0.938965f, 0.937988f, 0.937012f, 0.936035f, 0.933594f, + 0.001564f, 0.004665f, 0.007973f, 0.011276f, 0.014908f, 0.018600f, 0.022675f, 0.027176f, + 0.031464f, 0.036621f, 0.042023f, 0.047974f, 0.054108f, 0.060822f, 0.068237f, 0.075684f, + 0.084229f, 0.093567f, 0.103210f, 0.113892f, 0.125000f, 0.137329f, 0.150269f, 0.164307f, + 0.179810f, 0.194946f, 0.212158f, 0.229248f, 0.247925f, 0.267578f, 0.287842f, 0.308350f, + 0.330322f, 0.352051f, 0.374756f, 0.397461f, 0.420654f, 0.444092f, 0.466797f, 0.490723f, + 0.514160f, 0.537109f, 0.560059f, 0.582031f, 0.604980f, 0.626953f, 0.648926f, 0.668457f, + 0.688477f, 0.708008f, 0.727539f, 0.745117f, 0.763672f, 0.779297f, 0.795410f, 0.811523f, + 0.826660f, 0.840332f, 0.930664f, 0.934570f, 0.934082f, 0.933594f, 0.932129f, 0.930664f, + 0.001424f, 0.004261f, 0.007122f, 0.010239f, 0.013374f, 0.016693f, 0.020401f, 0.024368f, + 0.028595f, 0.033325f, 0.037964f, 0.043152f, 0.048340f, 0.054962f, 0.060730f, 0.067749f, + 0.075684f, 0.083862f, 0.092041f, 0.102051f, 0.112305f, 0.123657f, 0.135376f, 0.148071f, + 0.161987f, 0.176270f, 0.192139f, 0.208252f, 0.226196f, 0.244141f, 0.263672f, 0.283447f, + 0.304199f, 0.325195f, 0.346924f, 0.370605f, 0.392822f, 0.416260f, 0.439209f, 0.463623f, + 0.486084f, 0.511230f, 0.534180f, 0.558105f, 0.580566f, 0.603516f, 0.625000f, 0.647461f, + 0.668457f, 0.688965f, 0.708496f, 0.727539f, 0.746582f, 0.764160f, 0.781738f, 0.798340f, + 0.813477f, 0.829590f, 0.926758f, 0.931152f, 0.930664f, 0.929199f, 0.928223f, 0.927246f, + 0.001294f, 0.004196f, 0.006538f, 0.009346f, 0.012306f, 0.015335f, 0.018845f, 0.022003f, + 0.025558f, 0.029816f, 0.034149f, 0.038605f, 0.043915f, 0.049042f, 0.054810f, 0.061188f, + 0.067993f, 0.075256f, 0.083130f, 0.091553f, 0.100769f, 0.110779f, 0.121643f, 0.133057f, + 0.145630f, 0.159058f, 0.173218f, 0.188721f, 0.204590f, 0.222290f, 0.240234f, 0.259277f, + 0.279053f, 0.299561f, 0.321533f, 0.343506f, 0.365723f, 0.389404f, 0.412354f, 0.436035f, + 0.459961f, 0.484131f, 0.508301f, 0.532227f, 0.555176f, 0.579102f, 0.601562f, 0.624512f, + 0.646484f, 0.668457f, 0.688965f, 0.709473f, 0.729004f, 0.748047f, 0.766602f, 0.784668f, + 0.800293f, 0.817383f, 0.921875f, 0.926270f, 0.926270f, 0.925781f, 0.924316f, 0.923340f, + 0.001081f, 0.003603f, 0.006027f, 0.008575f, 0.010979f, 0.013847f, 0.016937f, 0.020020f, + 0.023315f, 0.026917f, 0.030930f, 0.035156f, 0.039429f, 0.044098f, 0.049622f, 0.054779f, + 0.060791f, 0.067566f, 0.074341f, 0.082336f, 0.090515f, 0.099548f, 0.109070f, 0.119263f, + 0.130981f, 0.143188f, 0.156250f, 0.170288f, 0.185303f, 0.201294f, 0.218262f, 0.236450f, + 0.255615f, 0.275391f, 0.295654f, 0.316895f, 0.339111f, 0.362061f, 0.385498f, 0.408936f, + 0.432861f, 0.457275f, 0.481689f, 0.505371f, 0.529785f, 0.553711f, 0.577637f, 0.601074f, + 0.624023f, 0.646484f, 0.669434f, 0.689941f, 0.711426f, 0.731445f, 0.750977f, 0.770020f, + 0.787598f, 0.804688f, 0.916992f, 0.922363f, 0.922363f, 0.921875f, 0.920898f, 0.918945f, + 0.001064f, 0.003231f, 0.005322f, 0.007710f, 0.010323f, 0.012489f, 0.015244f, 0.018051f, + 0.020798f, 0.024338f, 0.027893f, 0.031738f, 0.035553f, 0.039795f, 0.044495f, 0.049133f, + 0.054657f, 0.060608f, 0.066895f, 0.073792f, 0.081421f, 0.089050f, 0.097717f, 0.106934f, + 0.117554f, 0.128540f, 0.140503f, 0.153442f, 0.167236f, 0.182129f, 0.197998f, 0.214966f, + 0.232422f, 0.251465f, 0.271240f, 0.291992f, 0.313232f, 0.335693f, 0.358643f, 0.382080f, + 0.406006f, 0.430176f, 0.454590f, 0.479004f, 0.503906f, 0.528320f, 0.552734f, 0.577637f, + 0.601562f, 0.625000f, 0.648438f, 0.670898f, 0.691895f, 0.713867f, 0.733887f, 0.754883f, + 0.774414f, 0.791992f, 0.912109f, 0.917969f, 0.918457f, 0.916992f, 0.916016f, 0.915039f, + 0.000998f, 0.003012f, 0.005123f, 0.007114f, 0.009438f, 0.011360f, 0.013763f, 0.016510f, + 0.018951f, 0.022171f, 0.025101f, 0.028305f, 0.031830f, 0.035736f, 0.039795f, 0.044067f, + 0.048950f, 0.053864f, 0.059601f, 0.066345f, 0.072815f, 0.079956f, 0.087402f, 0.096375f, + 0.105835f, 0.115479f, 0.126343f, 0.138184f, 0.150635f, 0.164062f, 0.178711f, 0.194214f, + 0.210815f, 0.229004f, 0.247314f, 0.267090f, 0.288330f, 0.309570f, 0.332275f, 0.355469f, + 0.378418f, 0.402832f, 0.427490f, 0.452637f, 0.477783f, 0.501953f, 0.527832f, 0.552734f, + 0.577637f, 0.602051f, 0.626465f, 0.649902f, 0.672852f, 0.695312f, 0.717773f, 0.737793f, + 0.758789f, 0.778809f, 0.906250f, 0.913086f, 0.913574f, 0.912598f, 0.911621f, 0.910645f, + 0.001059f, 0.002985f, 0.004475f, 0.006496f, 0.008545f, 0.010300f, 0.012581f, 0.014969f, + 0.017471f, 0.019852f, 0.022507f, 0.025864f, 0.028824f, 0.032135f, 0.036041f, 0.039795f, + 0.043884f, 0.048706f, 0.053680f, 0.059113f, 0.064819f, 0.071472f, 0.078491f, 0.086365f, + 0.094360f, 0.103577f, 0.113403f, 0.124023f, 0.135620f, 0.147705f, 0.160889f, 0.175537f, + 0.191284f, 0.207764f, 0.225464f, 0.244263f, 0.264160f, 0.284912f, 0.306641f, 0.329102f, + 0.352295f, 0.376465f, 0.400635f, 0.426025f, 0.451416f, 0.476562f, 0.502930f, 0.527344f, + 0.553711f, 0.579102f, 0.603027f, 0.627930f, 0.652344f, 0.675781f, 0.700195f, 0.722168f, + 0.742676f, 0.764648f, 0.901367f, 0.907715f, 0.908691f, 0.908203f, 0.907227f, 0.906250f, + 0.000988f, 0.002577f, 0.004124f, 0.006042f, 0.007603f, 0.009506f, 0.011299f, 0.013680f, + 0.015778f, 0.017883f, 0.020554f, 0.023102f, 0.025940f, 0.028946f, 0.031891f, 0.035431f, + 0.039825f, 0.043671f, 0.048157f, 0.053009f, 0.058075f, 0.063782f, 0.069885f, 0.077087f, + 0.084839f, 0.092712f, 0.101379f, 0.110779f, 0.121155f, 0.132446f, 0.144775f, 0.157837f, + 0.172363f, 0.187744f, 0.204590f, 0.222290f, 0.240601f, 0.260254f, 0.281494f, 0.303223f, + 0.325439f, 0.349609f, 0.373535f, 0.399170f, 0.424561f, 0.450439f, 0.475586f, 0.501953f, + 0.528320f, 0.554688f, 0.580566f, 0.605957f, 0.630859f, 0.656250f, 0.680176f, 0.704102f, + 0.727051f, 0.749512f, 0.895508f, 0.902344f, 0.903320f, 0.902832f, 0.901855f, 0.901855f, + 0.000842f, 0.002253f, 0.003597f, 0.005352f, 0.007195f, 0.008804f, 0.010460f, 0.012100f, + 0.014130f, 0.016281f, 0.018341f, 0.021057f, 0.023193f, 0.025742f, 0.029022f, 0.031830f, + 0.035278f, 0.039246f, 0.042999f, 0.047211f, 0.052032f, 0.056946f, 0.062744f, 0.068848f, + 0.075195f, 0.082642f, 0.090332f, 0.099060f, 0.108215f, 0.118469f, 0.129517f, 0.141724f, + 0.154907f, 0.169434f, 0.184448f, 0.201172f, 0.218506f, 0.237427f, 0.257324f, 0.278320f, + 0.300293f, 0.323242f, 0.347412f, 0.372070f, 0.397217f, 0.423340f, 0.449707f, 0.476807f, + 0.502930f, 0.529785f, 0.556641f, 0.582520f, 0.609863f, 0.635254f, 0.660645f, 0.686035f, + 0.710938f, 0.733887f, 0.889648f, 0.897461f, 0.898926f, 0.896973f, 0.896973f, 0.896484f, + 0.000660f, 0.002014f, 0.003531f, 0.004951f, 0.006424f, 0.007935f, 0.009392f, 0.011322f, + 0.012924f, 0.014824f, 0.016754f, 0.018906f, 0.020935f, 0.023376f, 0.026245f, 0.028809f, + 0.031860f, 0.034821f, 0.038330f, 0.042236f, 0.046387f, 0.050812f, 0.056061f, 0.061279f, + 0.066956f, 0.073547f, 0.080566f, 0.088074f, 0.096802f, 0.106079f, 0.116089f, 0.127075f, + 0.138672f, 0.151855f, 0.165649f, 0.180908f, 0.197754f, 0.215332f, 0.234375f, 0.254150f, + 0.275391f, 0.298096f, 0.321533f, 0.344971f, 0.370361f, 0.396973f, 0.422852f, 0.449219f, + 0.477295f, 0.504395f, 0.532227f, 0.558594f, 0.586914f, 0.614258f, 0.640625f, 0.666016f, + 0.692871f, 0.718262f, 0.882812f, 0.891602f, 0.892578f, 0.892090f, 0.892090f, 0.890625f, + 0.000623f, 0.002073f, 0.003298f, 0.004292f, 0.005589f, 0.007401f, 0.008377f, 0.010315f, + 0.011871f, 0.013596f, 0.015213f, 0.016632f, 0.018829f, 0.020920f, 0.023239f, 0.025726f, + 0.028381f, 0.031250f, 0.034241f, 0.037781f, 0.041473f, 0.045349f, 0.049469f, 0.054199f, + 0.059448f, 0.065186f, 0.071716f, 0.078613f, 0.085999f, 0.093872f, 0.103516f, 0.112976f, + 0.123840f, 0.135620f, 0.148804f, 0.162720f, 0.178223f, 0.194824f, 0.212280f, 0.231079f, + 0.251953f, 0.273193f, 0.295410f, 0.319580f, 0.343994f, 0.370117f, 0.396729f, 0.422852f, + 0.450684f, 0.478516f, 0.507324f, 0.534668f, 0.562988f, 0.591797f, 0.619629f, 0.646484f, + 0.674316f, 0.700195f, 0.875488f, 0.885254f, 0.886719f, 0.886719f, 0.885742f, 0.885254f, + 0.000583f, 0.001746f, 0.002840f, 0.004143f, 0.005234f, 0.006516f, 0.007835f, 0.009460f, + 0.010788f, 0.012062f, 0.013428f, 0.015053f, 0.017349f, 0.018753f, 0.021271f, 0.023163f, + 0.025284f, 0.027924f, 0.030655f, 0.033478f, 0.036957f, 0.040527f, 0.044037f, 0.048309f, + 0.053223f, 0.058319f, 0.063660f, 0.069763f, 0.076172f, 0.083679f, 0.091431f, 0.100647f, + 0.110229f, 0.120667f, 0.132690f, 0.145386f, 0.159668f, 0.174805f, 0.191284f, 0.208984f, + 0.228516f, 0.248535f, 0.270996f, 0.293701f, 0.317383f, 0.342529f, 0.369629f, 0.396240f, + 0.424072f, 0.452148f, 0.480957f, 0.509277f, 0.539551f, 0.567871f, 0.596680f, 0.625977f, + 0.654785f, 0.682129f, 0.868652f, 0.878906f, 0.880371f, 0.879883f, 0.879883f, 0.879395f, + 0.000535f, 0.001538f, 0.002930f, 0.003725f, 0.004986f, 0.005920f, 0.006973f, 0.008247f, + 0.009575f, 0.010841f, 0.012115f, 0.013550f, 0.015343f, 0.016983f, 0.018814f, 0.020523f, + 0.022568f, 0.024887f, 0.027206f, 0.029907f, 0.032959f, 0.035828f, 0.039185f, 0.042877f, + 0.046967f, 0.051605f, 0.056213f, 0.061432f, 0.067749f, 0.073730f, 0.081238f, 0.089111f, + 0.097656f, 0.107300f, 0.118042f, 0.129883f, 0.142334f, 0.156250f, 0.171875f, 0.187866f, + 0.206665f, 0.225708f, 0.246704f, 0.268799f, 0.291992f, 0.316650f, 0.342529f, 0.369629f, + 0.397217f, 0.425537f, 0.454590f, 0.484131f, 0.513672f, 0.544434f, 0.574219f, 0.604492f, + 0.633789f, 0.664062f, 0.861328f, 0.871582f, 0.873535f, 0.874512f, 0.873047f, 0.872559f, + 0.000581f, 0.001668f, 0.002563f, 0.003471f, 0.004494f, 0.005562f, 0.006580f, 0.007782f, + 0.008690f, 0.009766f, 0.011261f, 0.012314f, 0.013901f, 0.014969f, 0.016479f, 0.018265f, + 0.020294f, 0.022156f, 0.024353f, 0.026505f, 0.029053f, 0.031799f, 0.034607f, 0.037964f, + 0.041382f, 0.045471f, 0.049591f, 0.054047f, 0.059326f, 0.065186f, 0.071411f, 0.078735f, + 0.086304f, 0.094971f, 0.104126f, 0.114807f, 0.126587f, 0.138916f, 0.153564f, 0.169067f, + 0.185669f, 0.203613f, 0.223389f, 0.244629f, 0.266602f, 0.291260f, 0.316406f, 0.342773f, + 0.370361f, 0.398926f, 0.427734f, 0.458008f, 0.488770f, 0.520020f, 0.550293f, 0.582031f, + 0.613281f, 0.645020f, 0.854004f, 0.865234f, 0.866699f, 0.867188f, 0.866699f, 0.866699f, + 0.000571f, 0.001365f, 0.002483f, 0.003033f, 0.004120f, 0.005054f, 0.005981f, 0.006737f, + 0.007603f, 0.008675f, 0.009789f, 0.011078f, 0.012413f, 0.013626f, 0.014908f, 0.016174f, + 0.017792f, 0.019699f, 0.021591f, 0.023499f, 0.025635f, 0.028000f, 0.030533f, 0.033417f, + 0.036499f, 0.039948f, 0.043762f, 0.047943f, 0.052460f, 0.057465f, 0.062622f, 0.068848f, + 0.076111f, 0.083557f, 0.092102f, 0.101562f, 0.111816f, 0.123230f, 0.135864f, 0.150024f, + 0.165771f, 0.182373f, 0.200806f, 0.221191f, 0.242920f, 0.265869f, 0.290283f, 0.316406f, + 0.343262f, 0.371582f, 0.400879f, 0.431396f, 0.463623f, 0.494629f, 0.526367f, 0.558105f, + 0.591309f, 0.624023f, 0.845215f, 0.856934f, 0.859375f, 0.859375f, 0.859863f, 0.860352f, + 0.000411f, 0.001296f, 0.002012f, 0.002808f, 0.003754f, 0.004543f, 0.005215f, 0.006012f, + 0.006725f, 0.007851f, 0.008888f, 0.009979f, 0.010994f, 0.012009f, 0.013062f, 0.014549f, + 0.016113f, 0.017441f, 0.019073f, 0.020767f, 0.022598f, 0.024689f, 0.026764f, 0.029358f, + 0.032043f, 0.034760f, 0.038391f, 0.041779f, 0.045380f, 0.050110f, 0.055054f, 0.060394f, + 0.066650f, 0.073120f, 0.080688f, 0.089233f, 0.098450f, 0.108582f, 0.120178f, 0.133057f, + 0.146973f, 0.162354f, 0.179565f, 0.198364f, 0.218750f, 0.240967f, 0.264648f, 0.290039f, + 0.316650f, 0.344971f, 0.374023f, 0.404541f, 0.435791f, 0.467773f, 0.500977f, 0.535156f, + 0.569336f, 0.601562f, 0.836914f, 0.850098f, 0.852051f, 0.852539f, 0.852539f, 0.852051f, + 0.000408f, 0.001071f, 0.001857f, 0.002573f, 0.003338f, 0.004078f, 0.004692f, 0.005379f, + 0.006046f, 0.007275f, 0.007957f, 0.008606f, 0.009598f, 0.010864f, 0.011658f, 0.013084f, + 0.013977f, 0.015366f, 0.016724f, 0.018402f, 0.019669f, 0.021759f, 0.023697f, 0.025726f, + 0.027954f, 0.030640f, 0.033356f, 0.036530f, 0.039948f, 0.043701f, 0.047791f, 0.052704f, + 0.057770f, 0.063782f, 0.070129f, 0.077881f, 0.085999f, 0.095337f, 0.105591f, 0.116882f, + 0.130005f, 0.143921f, 0.159302f, 0.177246f, 0.196411f, 0.217163f, 0.239746f, 0.263916f, + 0.290039f, 0.317871f, 0.346924f, 0.377441f, 0.408936f, 0.442139f, 0.476074f, 0.509766f, + 0.545410f, 0.580078f, 0.828613f, 0.841309f, 0.843262f, 0.844238f, 0.843750f, 0.844238f, + 0.000322f, 0.001009f, 0.001674f, 0.002262f, 0.002949f, 0.003633f, 0.004250f, 0.004780f, + 0.005478f, 0.006256f, 0.007248f, 0.007919f, 0.008720f, 0.009552f, 0.010277f, 0.011391f, + 0.012291f, 0.013466f, 0.014786f, 0.015976f, 0.017288f, 0.019043f, 0.020477f, 0.022385f, + 0.024292f, 0.026276f, 0.029175f, 0.031769f, 0.034546f, 0.037842f, 0.041626f, 0.045868f, + 0.050293f, 0.055084f, 0.060669f, 0.067688f, 0.074585f, 0.083008f, 0.092102f, 0.102234f, + 0.113525f, 0.126587f, 0.140869f, 0.156860f, 0.174805f, 0.194214f, 0.215698f, 0.239014f, + 0.264404f, 0.291016f, 0.320068f, 0.350098f, 0.382080f, 0.414551f, 0.449463f, 0.485107f, + 0.520996f, 0.557617f, 0.818848f, 0.833496f, 0.836426f, 0.836914f, 0.836426f, 0.835938f, + 0.000483f, 0.000841f, 0.001632f, 0.002142f, 0.002678f, 0.003359f, 0.003830f, 0.004333f, + 0.005077f, 0.005527f, 0.006104f, 0.006908f, 0.007675f, 0.008392f, 0.009216f, 0.009789f, + 0.010880f, 0.011719f, 0.012817f, 0.013809f, 0.015068f, 0.016357f, 0.017883f, 0.019485f, + 0.021271f, 0.022995f, 0.025162f, 0.027359f, 0.029755f, 0.032806f, 0.036133f, 0.039459f, + 0.043091f, 0.047821f, 0.052368f, 0.058258f, 0.064514f, 0.071472f, 0.079224f, 0.088623f, + 0.098694f, 0.109924f, 0.123230f, 0.137817f, 0.154053f, 0.172363f, 0.192261f, 0.214478f, + 0.238647f, 0.265137f, 0.292725f, 0.322998f, 0.354492f, 0.387695f, 0.422363f, 0.458740f, + 0.495605f, 0.533691f, 0.809570f, 0.824219f, 0.826660f, 0.827148f, 0.828125f, 0.827148f, + 0.000240f, 0.000906f, 0.001379f, 0.001807f, 0.002495f, 0.002916f, 0.003490f, 0.004139f, + 0.004471f, 0.004898f, 0.005638f, 0.005978f, 0.006874f, 0.007313f, 0.007957f, 0.008698f, + 0.009560f, 0.010178f, 0.011345f, 0.012177f, 0.012985f, 0.014214f, 0.015274f, 0.016708f, + 0.017929f, 0.019882f, 0.021393f, 0.023560f, 0.025406f, 0.028137f, 0.030472f, 0.033752f, + 0.036896f, 0.040619f, 0.044952f, 0.049622f, 0.055298f, 0.061249f, 0.068420f, 0.075928f, + 0.084900f, 0.095398f, 0.107300f, 0.119934f, 0.134766f, 0.151733f, 0.170410f, 0.191284f, + 0.213867f, 0.238647f, 0.265869f, 0.295654f, 0.326660f, 0.359863f, 0.394775f, 0.432129f, + 0.469482f, 0.508789f, 0.798340f, 0.814941f, 0.817871f, 0.818359f, 0.818848f, 0.818848f, + 0.000376f, 0.000870f, 0.001291f, 0.001619f, 0.002251f, 0.002520f, 0.003016f, 0.003502f, + 0.004036f, 0.004299f, 0.004723f, 0.005234f, 0.005840f, 0.006512f, 0.006908f, 0.007595f, + 0.008003f, 0.008797f, 0.009773f, 0.010536f, 0.011284f, 0.012161f, 0.013237f, 0.014465f, + 0.015579f, 0.016968f, 0.018402f, 0.019882f, 0.021759f, 0.023621f, 0.026138f, 0.028488f, + 0.031738f, 0.034668f, 0.038239f, 0.042389f, 0.046783f, 0.052094f, 0.058319f, 0.064941f, + 0.072815f, 0.081726f, 0.092102f, 0.103516f, 0.117188f, 0.132202f, 0.149048f, 0.168091f, + 0.189941f, 0.213745f, 0.239990f, 0.268311f, 0.299316f, 0.332275f, 0.367188f, 0.403076f, + 0.442871f, 0.483398f, 0.788086f, 0.805176f, 0.808105f, 0.808594f, 0.809082f, 0.809082f, + 0.000386f, 0.000765f, 0.000998f, 0.001537f, 0.001833f, 0.002407f, 0.002529f, 0.003113f, + 0.003334f, 0.003841f, 0.004192f, 0.004585f, 0.005096f, 0.005543f, 0.006073f, 0.006405f, + 0.007118f, 0.007641f, 0.008278f, 0.008957f, 0.009651f, 0.010498f, 0.011307f, 0.012184f, + 0.013199f, 0.014343f, 0.015671f, 0.016678f, 0.018585f, 0.019852f, 0.021881f, 0.023987f, + 0.026398f, 0.029099f, 0.032227f, 0.035339f, 0.039246f, 0.043915f, 0.048859f, 0.054688f, + 0.061554f, 0.069519f, 0.078247f, 0.088379f, 0.100037f, 0.113770f, 0.129272f, 0.146606f, + 0.166626f, 0.189575f, 0.214111f, 0.241577f, 0.271973f, 0.304199f, 0.339844f, 0.375977f, + 0.415527f, 0.457275f, 0.776855f, 0.794434f, 0.797363f, 0.797852f, 0.798828f, 0.799316f, + 0.000232f, 0.000636f, 0.000996f, 0.001201f, 0.001721f, 0.002029f, 0.002340f, 0.002802f, + 0.003012f, 0.003462f, 0.003693f, 0.004059f, 0.004295f, 0.004822f, 0.005077f, 0.005623f, + 0.006126f, 0.006653f, 0.007027f, 0.007561f, 0.008049f, 0.008904f, 0.009399f, 0.010300f, + 0.011200f, 0.012115f, 0.013092f, 0.014221f, 0.015671f, 0.016891f, 0.018433f, 0.020294f, + 0.022064f, 0.024277f, 0.026688f, 0.029678f, 0.032654f, 0.036499f, 0.040955f, 0.045715f, + 0.051514f, 0.058014f, 0.065674f, 0.074707f, 0.084717f, 0.096802f, 0.111023f, 0.126709f, + 0.144775f, 0.165771f, 0.189209f, 0.215820f, 0.244385f, 0.275879f, 0.310547f, 0.348145f, + 0.387695f, 0.429932f, 0.765137f, 0.783203f, 0.787109f, 0.788574f, 0.788574f, 0.789551f, + 0.000171f, 0.000518f, 0.001106f, 0.001242f, 0.001475f, 0.001939f, 0.002092f, 0.002254f, + 0.002607f, 0.002930f, 0.003084f, 0.003382f, 0.003674f, 0.004040f, 0.004395f, 0.004780f, + 0.005157f, 0.005653f, 0.006088f, 0.006355f, 0.006870f, 0.007420f, 0.008057f, 0.008667f, + 0.009361f, 0.010040f, 0.011101f, 0.011803f, 0.012711f, 0.013962f, 0.015343f, 0.016586f, + 0.018036f, 0.020142f, 0.022079f, 0.024399f, 0.027023f, 0.030075f, 0.033569f, 0.037750f, + 0.042603f, 0.048096f, 0.054718f, 0.062134f, 0.071045f, 0.081299f, 0.093445f, 0.107605f, + 0.124268f, 0.142944f, 0.165405f, 0.189941f, 0.218262f, 0.249268f, 0.282227f, 0.319336f, + 0.359375f, 0.402832f, 0.752930f, 0.771973f, 0.775879f, 0.776855f, 0.777832f, 0.777832f, + 0.000204f, 0.000608f, 0.000865f, 0.001011f, 0.001362f, 0.001632f, 0.001817f, 0.001930f, + 0.002274f, 0.002491f, 0.002796f, 0.002932f, 0.003139f, 0.003429f, 0.003736f, 0.004055f, + 0.004448f, 0.004829f, 0.004971f, 0.005497f, 0.005859f, 0.006298f, 0.006741f, 0.007080f, + 0.007687f, 0.008308f, 0.009087f, 0.009880f, 0.010735f, 0.011528f, 0.012375f, 0.013664f, + 0.014862f, 0.016464f, 0.017868f, 0.019852f, 0.022156f, 0.024490f, 0.027435f, 0.030853f, + 0.034637f, 0.039154f, 0.044495f, 0.050964f, 0.058441f, 0.067383f, 0.077759f, 0.090332f, + 0.104797f, 0.121826f, 0.142334f, 0.164795f, 0.191528f, 0.221313f, 0.254150f, 0.290771f, + 0.330078f, 0.374268f, 0.740234f, 0.759277f, 0.763672f, 0.766113f, 0.766602f, 0.766113f, + 0.000150f, 0.000514f, 0.000666f, 0.000865f, 0.001163f, 0.001389f, 0.001540f, 0.001672f, + 0.001940f, 0.002110f, 0.002302f, 0.002419f, 0.002745f, 0.002974f, 0.003120f, 0.003366f, + 0.003695f, 0.003815f, 0.004173f, 0.004574f, 0.004879f, 0.005165f, 0.005646f, 0.006058f, + 0.006481f, 0.006969f, 0.007626f, 0.007881f, 0.008751f, 0.009445f, 0.010231f, 0.011246f, + 0.012222f, 0.013268f, 0.014641f, 0.015976f, 0.017792f, 0.019867f, 0.021912f, 0.024704f, + 0.027786f, 0.031494f, 0.036011f, 0.041229f, 0.047363f, 0.054962f, 0.063904f, 0.074463f, + 0.087036f, 0.102295f, 0.120483f, 0.141113f, 0.166260f, 0.194214f, 0.226196f, 0.261719f, + 0.301514f, 0.345459f, 0.727051f, 0.747070f, 0.751953f, 0.753418f, 0.754395f, 0.754883f, + 0.000103f, 0.000251f, 0.000628f, 0.000912f, 0.000978f, 0.001191f, 0.001365f, 0.001507f, + 0.001513f, 0.001757f, 0.001980f, 0.002121f, 0.002316f, 0.002373f, 0.002645f, 0.002909f, + 0.003012f, 0.003305f, 0.003538f, 0.003775f, 0.004070f, 0.004246f, 0.004642f, 0.004986f, + 0.005394f, 0.005802f, 0.006031f, 0.006565f, 0.006969f, 0.007618f, 0.008293f, 0.008980f, + 0.009766f, 0.010612f, 0.011528f, 0.012802f, 0.014198f, 0.015671f, 0.017517f, 0.019592f, + 0.021957f, 0.024918f, 0.028442f, 0.032562f, 0.037567f, 0.043762f, 0.051025f, 0.059753f, + 0.071045f, 0.084412f, 0.099792f, 0.119385f, 0.141846f, 0.167969f, 0.199341f, 0.233521f, + 0.272461f, 0.315674f, 0.712891f, 0.733887f, 0.738770f, 0.740234f, 0.741211f, 0.741699f, + 0.000185f, 0.000434f, 0.000489f, 0.000732f, 0.000874f, 0.000968f, 0.001122f, 0.001124f, + 0.001371f, 0.001423f, 0.001639f, 0.001693f, 0.001805f, 0.002094f, 0.002241f, 0.002356f, + 0.002567f, 0.002691f, 0.002871f, 0.003063f, 0.003195f, 0.003582f, 0.003790f, 0.004089f, + 0.004372f, 0.004536f, 0.005085f, 0.005314f, 0.005699f, 0.006153f, 0.006672f, 0.007202f, + 0.007805f, 0.008522f, 0.009216f, 0.010071f, 0.011086f, 0.012184f, 0.013596f, 0.015297f, + 0.017014f, 0.019363f, 0.021988f, 0.025299f, 0.029282f, 0.033936f, 0.040070f, 0.047028f, + 0.056519f, 0.067932f, 0.080872f, 0.098083f, 0.118469f, 0.143188f, 0.171753f, 0.205200f, + 0.243286f, 0.286133f, 0.698730f, 0.721680f, 0.725098f, 0.727051f, 0.728027f, 0.728516f, + 0.000116f, 0.000267f, 0.000565f, 0.000505f, 0.000648f, 0.000772f, 0.000813f, 0.001031f, + 0.001107f, 0.001184f, 0.001335f, 0.001391f, 0.001451f, 0.001633f, 0.001798f, 0.001874f, + 0.002090f, 0.002192f, 0.002392f, 0.002464f, 0.002707f, 0.002895f, 0.003044f, 0.003206f, + 0.003468f, 0.003666f, 0.003887f, 0.004261f, 0.004524f, 0.004898f, 0.005379f, 0.005711f, + 0.006130f, 0.006721f, 0.007267f, 0.007912f, 0.008659f, 0.009575f, 0.010475f, 0.011749f, + 0.013252f, 0.014717f, 0.016815f, 0.019302f, 0.022369f, 0.025955f, 0.030502f, 0.036285f, + 0.043579f, 0.052795f, 0.064453f, 0.078735f, 0.096497f, 0.118591f, 0.145508f, 0.177368f, + 0.213989f, 0.256592f, 0.683105f, 0.707031f, 0.710938f, 0.713379f, 0.714844f, 0.714844f, + 0.000223f, 0.000239f, 0.000286f, 0.000476f, 0.000580f, 0.000647f, 0.000715f, 0.000843f, + 0.000914f, 0.000950f, 0.001090f, 0.001163f, 0.001259f, 0.001328f, 0.001392f, 0.001560f, + 0.001549f, 0.001775f, 0.001868f, 0.001999f, 0.002199f, 0.002235f, 0.002436f, 0.002575f, + 0.002842f, 0.002892f, 0.003111f, 0.003401f, 0.003563f, 0.003887f, 0.004196f, 0.004505f, + 0.004791f, 0.005142f, 0.005684f, 0.006153f, 0.006710f, 0.007378f, 0.008064f, 0.008881f, + 0.009979f, 0.011177f, 0.012779f, 0.014435f, 0.016647f, 0.019150f, 0.022583f, 0.027252f, + 0.033051f, 0.040039f, 0.049561f, 0.061340f, 0.076843f, 0.096313f, 0.120544f, 0.150513f, + 0.185547f, 0.227173f, 0.668457f, 0.692383f, 0.696289f, 0.698242f, 0.699219f, 0.701172f, + 0.000000f, 0.000109f, 0.000315f, 0.000449f, 0.000511f, 0.000507f, 0.000538f, 0.000653f, + 0.000724f, 0.000749f, 0.000830f, 0.000893f, 0.001007f, 0.001079f, 0.001189f, 0.001163f, + 0.001335f, 0.001307f, 0.001502f, 0.001575f, 0.001627f, 0.001778f, 0.001933f, 0.002029f, + 0.002155f, 0.002254f, 0.002401f, 0.002535f, 0.002829f, 0.002943f, 0.003143f, 0.003422f, + 0.003710f, 0.003990f, 0.004318f, 0.004627f, 0.005108f, 0.005585f, 0.006142f, 0.006641f, + 0.007378f, 0.008354f, 0.009430f, 0.010628f, 0.012123f, 0.014015f, 0.016541f, 0.019836f, + 0.023849f, 0.029312f, 0.036774f, 0.046356f, 0.058868f, 0.075562f, 0.097107f, 0.124634f, + 0.157837f, 0.197754f, 0.653320f, 0.677734f, 0.682129f, 0.684082f, 0.685547f, 0.684570f, + 0.000166f, 0.000195f, 0.000256f, 0.000372f, 0.000386f, 0.000415f, 0.000515f, 0.000432f, + 0.000579f, 0.000606f, 0.000706f, 0.000745f, 0.000764f, 0.000837f, 0.000853f, 0.000993f, + 0.001034f, 0.001066f, 0.001156f, 0.001203f, 0.001339f, 0.001418f, 0.001470f, 0.001612f, + 0.001614f, 0.001707f, 0.001850f, 0.001986f, 0.002151f, 0.002254f, 0.002499f, 0.002560f, + 0.002794f, 0.003000f, 0.003212f, 0.003510f, 0.003761f, 0.004086f, 0.004475f, 0.004967f, + 0.005428f, 0.006134f, 0.006840f, 0.007786f, 0.008858f, 0.010033f, 0.011909f, 0.014137f, + 0.016907f, 0.020767f, 0.025894f, 0.033386f, 0.043274f, 0.056854f, 0.075439f, 0.099548f, + 0.130737f, 0.169434f, 0.634277f, 0.661133f, 0.667480f, 0.668945f, 0.669922f, 0.670898f, + 0.000115f, 0.000119f, 0.000230f, 0.000304f, 0.000221f, 0.000380f, 0.000322f, 0.000351f, + 0.000453f, 0.000527f, 0.000535f, 0.000558f, 0.000595f, 0.000675f, 0.000707f, 0.000670f, + 0.000776f, 0.000812f, 0.000839f, 0.000911f, 0.000974f, 0.001033f, 0.001082f, 0.001154f, + 0.001209f, 0.001268f, 0.001416f, 0.001432f, 0.001607f, 0.001775f, 0.001877f, 0.001911f, + 0.002041f, 0.002207f, 0.002380f, 0.002563f, 0.002741f, 0.002956f, 0.003281f, 0.003513f, + 0.003902f, 0.004353f, 0.004803f, 0.005405f, 0.006256f, 0.007072f, 0.008263f, 0.009659f, + 0.011627f, 0.014221f, 0.017792f, 0.022919f, 0.030075f, 0.040497f, 0.055878f, 0.076721f, + 0.104980f, 0.141357f, 0.618652f, 0.644531f, 0.650391f, 0.652832f, 0.653320f, 0.654785f, + 0.000000f, 0.000122f, 0.000142f, 0.000227f, 0.000248f, 0.000246f, 0.000296f, 0.000254f, + 0.000308f, 0.000329f, 0.000387f, 0.000437f, 0.000443f, 0.000504f, 0.000515f, 0.000535f, + 0.000566f, 0.000592f, 0.000618f, 0.000641f, 0.000706f, 0.000746f, 0.000787f, 0.000839f, + 0.000878f, 0.000920f, 0.001043f, 0.001041f, 0.001136f, 0.001199f, 0.001258f, 0.001393f, + 0.001428f, 0.001549f, 0.001632f, 0.001856f, 0.001945f, 0.002079f, 0.002310f, 0.002489f, + 0.002708f, 0.002996f, 0.003315f, 0.003759f, 0.004177f, 0.004803f, 0.005619f, 0.006527f, + 0.007793f, 0.009468f, 0.011917f, 0.015152f, 0.019897f, 0.027298f, 0.038910f, 0.055908f, + 0.080811f, 0.114563f, 0.600586f, 0.628906f, 0.634277f, 0.636719f, 0.637207f, 0.638672f, + 0.000000f, 0.000000f, 0.000106f, 0.000137f, 0.000172f, 0.000211f, 0.000189f, 0.000226f, + 0.000230f, 0.000248f, 0.000293f, 0.000251f, 0.000264f, 0.000321f, 0.000343f, 0.000399f, + 0.000368f, 0.000401f, 0.000499f, 0.000479f, 0.000498f, 0.000526f, 0.000550f, 0.000595f, + 0.000631f, 0.000645f, 0.000726f, 0.000717f, 0.000786f, 0.000902f, 0.000865f, 0.000916f, + 0.000989f, 0.001059f, 0.001165f, 0.001246f, 0.001279f, 0.001408f, 0.001566f, 0.001628f, + 0.001808f, 0.001991f, 0.002165f, 0.002466f, 0.002766f, 0.003084f, 0.003534f, 0.004250f, + 0.005016f, 0.006130f, 0.007584f, 0.009605f, 0.012718f, 0.017395f, 0.025131f, 0.038269f, + 0.058899f, 0.089661f, 0.582031f, 0.611328f, 0.616699f, 0.620117f, 0.621094f, 0.622559f, + 0.000000f, 0.000108f, 0.000104f, 0.000095f, 0.000117f, 0.000117f, 0.000122f, 0.000143f, + 0.000147f, 0.000164f, 0.000174f, 0.000216f, 0.000191f, 0.000227f, 0.000241f, 0.000250f, + 0.000257f, 0.000271f, 0.000301f, 0.000298f, 0.000317f, 0.000344f, 0.000370f, 0.000392f, + 0.000404f, 0.000427f, 0.000491f, 0.000491f, 0.000519f, 0.000535f, 0.000611f, 0.000601f, + 0.000668f, 0.000698f, 0.000767f, 0.000838f, 0.000865f, 0.000895f, 0.000993f, 0.001066f, + 0.001161f, 0.001242f, 0.001415f, 0.001521f, 0.001743f, 0.001901f, 0.002209f, 0.002523f, + 0.003038f, 0.003601f, 0.004478f, 0.005699f, 0.007545f, 0.010437f, 0.015175f, 0.023682f, + 0.039429f, 0.066406f, 0.563477f, 0.593262f, 0.598633f, 0.602051f, 0.602539f, 0.603516f, + 0.000000f, 0.000101f, 0.000093f, 0.000087f, 0.000082f, 0.000078f, 0.000084f, 0.000087f, + 0.000093f, 0.000094f, 0.000099f, 0.000104f, 0.000114f, 0.000123f, 0.000158f, 0.000163f, + 0.000166f, 0.000178f, 0.000177f, 0.000214f, 0.000191f, 0.000208f, 0.000212f, 0.000247f, + 0.000268f, 0.000263f, 0.000272f, 0.000287f, 0.000310f, 0.000336f, 0.000353f, 0.000368f, + 0.000396f, 0.000408f, 0.000453f, 0.000476f, 0.000511f, 0.000540f, 0.000615f, 0.000635f, + 0.000682f, 0.000751f, 0.000812f, 0.000908f, 0.000987f, 0.001116f, 0.001278f, 0.001431f, + 0.001702f, 0.002047f, 0.002512f, 0.003126f, 0.004181f, 0.005817f, 0.008553f, 0.013489f, + 0.023697f, 0.045288f, 0.544922f, 0.575684f, 0.581543f, 0.584473f, 0.585938f, 0.587402f, + 0.000109f, 0.000091f, 0.000081f, 0.000075f, 0.000070f, 0.000067f, 0.000064f, 0.000061f, + 0.000057f, 0.000054f, 0.000058f, 0.000075f, 0.000062f, 0.000064f, 0.000085f, 0.000068f, + 0.000092f, 0.000094f, 0.000103f, 0.000110f, 0.000113f, 0.000119f, 0.000141f, 0.000141f, + 0.000148f, 0.000152f, 0.000159f, 0.000164f, 0.000175f, 0.000188f, 0.000184f, 0.000218f, + 0.000233f, 0.000223f, 0.000253f, 0.000265f, 0.000282f, 0.000321f, 0.000322f, 0.000351f, + 0.000371f, 0.000405f, 0.000443f, 0.000478f, 0.000515f, 0.000571f, 0.000652f, 0.000733f, + 0.000856f, 0.001011f, 0.001227f, 0.001531f, 0.002029f, 0.002817f, 0.004215f, 0.006874f, + 0.012390f, 0.027405f, 0.525879f, 0.557129f, 0.563477f, 0.566895f, 0.568848f, 0.569824f, + 0.000094f, 0.000073f, 0.000065f, 0.000060f, 0.000055f, 0.000052f, 0.000049f, 0.000048f, + 0.000046f, 0.000045f, 0.000042f, 0.000040f, 0.000040f, 0.000037f, 0.000035f, 0.000035f, + 0.000042f, 0.000036f, 0.000049f, 0.000051f, 0.000055f, 0.000056f, 0.000059f, 0.000062f, + 0.000064f, 0.000078f, 0.000071f, 0.000079f, 0.000088f, 0.000091f, 0.000093f, 0.000099f, + 0.000103f, 0.000110f, 0.000125f, 0.000123f, 0.000127f, 0.000151f, 0.000151f, 0.000161f, + 0.000169f, 0.000179f, 0.000204f, 0.000219f, 0.000240f, 0.000267f, 0.000294f, 0.000321f, + 0.000378f, 0.000438f, 0.000524f, 0.000628f, 0.000818f, 0.001125f, 0.001693f, 0.002888f, + 0.005638f, 0.013580f, 0.505859f, 0.539062f, 0.544922f, 0.548340f, 0.550293f, 0.550781f, + 0.000064f, 0.000048f, 0.000041f, 0.000037f, 0.000035f, 0.000034f, 0.000032f, 0.000031f, + 0.000030f, 0.000029f, 0.000028f, 0.000028f, 0.000027f, 0.000027f, 0.000026f, 0.000025f, + 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, 0.000019f, 0.000019f, 0.000023f, + 0.000021f, 0.000022f, 0.000026f, 0.000029f, 0.000032f, 0.000031f, 0.000036f, 0.000037f, + 0.000036f, 0.000044f, 0.000046f, 0.000048f, 0.000052f, 0.000054f, 0.000056f, 0.000061f, + 0.000070f, 0.000073f, 0.000076f, 0.000081f, 0.000082f, 0.000095f, 0.000105f, 0.000120f, + 0.000126f, 0.000143f, 0.000173f, 0.000203f, 0.000267f, 0.000346f, 0.000505f, 0.000853f, + 0.001829f, 0.005222f, 0.487061f, 0.519531f, 0.527344f, 0.529785f, 0.531738f, 0.532715f, + 0.000000f, 0.000002f, 0.000003f, 0.000004f, 0.000008f, 0.000008f, 0.000008f, 0.000010f, + 0.000009f, 0.000010f, 0.000010f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, + 0.000012f, 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000012f, 0.000011f, + 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, + 0.000008f, 0.000007f, 0.000008f, 0.000009f, 0.000010f, 0.000012f, 0.000012f, 0.000015f, + 0.000013f, 0.000015f, 0.000018f, 0.000020f, 0.000021f, 0.000022f, 0.000022f, 0.000024f, + 0.000026f, 0.000027f, 0.000034f, 0.000043f, 0.000049f, 0.000065f, 0.000089f, 0.000138f, + 0.000293f, 0.001143f, 0.466553f, 0.500488f, 0.508301f, 0.510742f, 0.512207f, 0.513672f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, + 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, + 0.000006f, 0.000023f, 0.446777f, 0.482178f, 0.489746f, 0.492676f, 0.494629f, 0.496094f, + }, + { + 0.032318f, 0.095032f, 0.152344f, 0.205322f, 0.254883f, 0.299316f, 0.342041f, 0.380859f, + 0.416504f, 0.449707f, 0.481201f, 0.508789f, 0.537109f, 0.562012f, 0.584961f, 0.608398f, + 0.628418f, 0.648926f, 0.666504f, 0.684570f, 0.701172f, 0.716797f, 0.731934f, 0.746094f, + 0.759766f, 0.770996f, 0.784668f, 0.795898f, 0.806641f, 0.817871f, 0.827637f, 0.837402f, + 0.846680f, 0.855469f, 0.863770f, 0.872559f, 0.879883f, 0.887695f, 0.895508f, 0.901367f, + 0.909180f, 0.915527f, 0.921387f, 0.927734f, 0.934082f, 0.939453f, 0.944824f, 0.950684f, + 0.955566f, 0.960449f, 0.965332f, 0.969238f, 0.974121f, 0.978516f, 0.982910f, 0.986816f, + 0.990723f, 0.994629f, 0.994629f, 0.987793f, 0.981934f, 0.976562f, 0.971680f, 0.966797f, + 0.025833f, 0.076965f, 0.125854f, 0.173096f, 0.217896f, 0.259766f, 0.299561f, 0.338135f, + 0.372559f, 0.407471f, 0.437500f, 0.468262f, 0.496582f, 0.522949f, 0.547852f, 0.571289f, + 0.593750f, 0.614746f, 0.633789f, 0.652832f, 0.671387f, 0.687988f, 0.705078f, 0.719727f, + 0.734863f, 0.749023f, 0.761719f, 0.774414f, 0.786621f, 0.797363f, 0.808594f, 0.818848f, + 0.829590f, 0.838867f, 0.848633f, 0.858398f, 0.865723f, 0.874512f, 0.881836f, 0.890137f, + 0.897949f, 0.904297f, 0.910645f, 0.917480f, 0.923828f, 0.929688f, 0.935547f, 0.941895f, + 0.947266f, 0.952637f, 0.957520f, 0.962402f, 0.967285f, 0.971680f, 0.976562f, 0.980957f, + 0.984863f, 0.989258f, 0.992676f, 0.985840f, 0.979980f, 0.975098f, 0.970703f, 0.966309f, + 0.020828f, 0.063049f, 0.104797f, 0.146606f, 0.187134f, 0.225464f, 0.263916f, 0.299072f, + 0.333252f, 0.366943f, 0.398438f, 0.429199f, 0.457031f, 0.484131f, 0.509766f, 0.534668f, + 0.559082f, 0.579590f, 0.600586f, 0.622070f, 0.640625f, 0.659180f, 0.676758f, 0.692383f, + 0.708984f, 0.722656f, 0.737793f, 0.751465f, 0.764648f, 0.776367f, 0.789062f, 0.801270f, + 0.811523f, 0.821289f, 0.832031f, 0.841309f, 0.850586f, 0.860352f, 0.868652f, 0.876953f, + 0.884766f, 0.892090f, 0.899902f, 0.906738f, 0.913086f, 0.920410f, 0.927246f, 0.933105f, + 0.938477f, 0.944336f, 0.950195f, 0.955078f, 0.959961f, 0.965332f, 0.970215f, 0.975098f, + 0.979492f, 0.983887f, 0.989746f, 0.983398f, 0.978516f, 0.973633f, 0.969238f, 0.964844f, + 0.017273f, 0.052429f, 0.088745f, 0.124207f, 0.160034f, 0.195068f, 0.230103f, 0.263916f, + 0.297119f, 0.329102f, 0.360596f, 0.390625f, 0.418945f, 0.446289f, 0.472656f, 0.498535f, + 0.521973f, 0.545898f, 0.567871f, 0.588867f, 0.609375f, 0.629395f, 0.646973f, 0.664551f, + 0.681641f, 0.698242f, 0.712402f, 0.727539f, 0.741699f, 0.755371f, 0.768555f, 0.780762f, + 0.792480f, 0.803711f, 0.814941f, 0.825195f, 0.834961f, 0.844727f, 0.854004f, 0.863281f, + 0.871094f, 0.879883f, 0.887695f, 0.895508f, 0.902832f, 0.909668f, 0.916504f, 0.923828f, + 0.929688f, 0.936035f, 0.941895f, 0.947754f, 0.952637f, 0.958496f, 0.963379f, 0.968750f, + 0.973633f, 0.978027f, 0.986816f, 0.980957f, 0.976562f, 0.972168f, 0.967285f, 0.963379f, + 0.014076f, 0.043915f, 0.074951f, 0.106140f, 0.137573f, 0.169189f, 0.201416f, 0.233154f, + 0.264648f, 0.295166f, 0.324707f, 0.354248f, 0.381836f, 0.410156f, 0.436279f, 0.462891f, + 0.487793f, 0.510742f, 0.534180f, 0.556152f, 0.576660f, 0.598145f, 0.616211f, 0.636719f, + 0.653320f, 0.670410f, 0.687500f, 0.703125f, 0.718262f, 0.733398f, 0.746582f, 0.760742f, + 0.772949f, 0.785156f, 0.796875f, 0.808105f, 0.818848f, 0.829590f, 0.838867f, 0.848145f, + 0.857910f, 0.867188f, 0.875977f, 0.883301f, 0.891602f, 0.899414f, 0.906738f, 0.913086f, + 0.919922f, 0.926270f, 0.932617f, 0.938477f, 0.944824f, 0.951660f, 0.957520f, 0.961914f, + 0.967285f, 0.972168f, 0.984863f, 0.979004f, 0.974609f, 0.970215f, 0.966309f, 0.961914f, + 0.012077f, 0.037445f, 0.063660f, 0.090881f, 0.118774f, 0.147827f, 0.176636f, 0.206055f, + 0.234253f, 0.262939f, 0.291504f, 0.320312f, 0.347168f, 0.374756f, 0.401367f, 0.427734f, + 0.451904f, 0.477051f, 0.500488f, 0.523438f, 0.545898f, 0.566406f, 0.587402f, 0.605957f, + 0.624512f, 0.643555f, 0.662109f, 0.676758f, 0.693848f, 0.708984f, 0.724609f, 0.738770f, + 0.751465f, 0.765137f, 0.777344f, 0.790039f, 0.800781f, 0.812500f, 0.823242f, 0.833984f, + 0.842773f, 0.853027f, 0.861816f, 0.871094f, 0.879395f, 0.887695f, 0.895508f, 0.903320f, + 0.910156f, 0.917969f, 0.924316f, 0.931152f, 0.937988f, 0.943848f, 0.949219f, 0.955566f, + 0.960449f, 0.966309f, 0.981445f, 0.977051f, 0.972168f, 0.968262f, 0.964355f, 0.960938f, + 0.010445f, 0.032562f, 0.054657f, 0.078613f, 0.103333f, 0.128540f, 0.153564f, 0.181274f, + 0.207520f, 0.234619f, 0.261475f, 0.288818f, 0.315674f, 0.342041f, 0.368408f, 0.394287f, + 0.418945f, 0.443604f, 0.467773f, 0.490479f, 0.512695f, 0.534180f, 0.555664f, 0.575684f, + 0.596191f, 0.616211f, 0.633301f, 0.651855f, 0.668457f, 0.685547f, 0.701172f, 0.714844f, + 0.729492f, 0.743652f, 0.758301f, 0.770996f, 0.783203f, 0.794922f, 0.806641f, 0.817383f, + 0.827637f, 0.838867f, 0.847656f, 0.857422f, 0.866699f, 0.875000f, 0.884277f, 0.892578f, + 0.900391f, 0.907227f, 0.914551f, 0.922363f, 0.929199f, 0.935059f, 0.941895f, 0.948242f, + 0.953125f, 0.959473f, 0.978516f, 0.974609f, 0.970215f, 0.966309f, 0.962402f, 0.958984f, + 0.009117f, 0.027466f, 0.047424f, 0.067871f, 0.089783f, 0.112244f, 0.135376f, 0.159668f, + 0.184082f, 0.209106f, 0.233887f, 0.259277f, 0.285400f, 0.311523f, 0.336182f, 0.360840f, + 0.385986f, 0.410889f, 0.435059f, 0.458252f, 0.480713f, 0.503418f, 0.524902f, 0.546387f, + 0.566895f, 0.586426f, 0.605469f, 0.624512f, 0.642578f, 0.659668f, 0.676758f, 0.692383f, + 0.708008f, 0.722168f, 0.736816f, 0.749512f, 0.763184f, 0.776855f, 0.789062f, 0.800781f, + 0.812012f, 0.823730f, 0.833496f, 0.843750f, 0.854004f, 0.863281f, 0.872559f, 0.880371f, + 0.889648f, 0.896973f, 0.905762f, 0.912598f, 0.919922f, 0.927734f, 0.934082f, 0.940918f, + 0.946289f, 0.952637f, 0.976074f, 0.972168f, 0.967773f, 0.963867f, 0.960938f, 0.957031f, + 0.007561f, 0.024231f, 0.041077f, 0.059631f, 0.078369f, 0.098145f, 0.119507f, 0.140747f, + 0.163208f, 0.185913f, 0.209839f, 0.233154f, 0.257324f, 0.281494f, 0.305908f, 0.330566f, + 0.354736f, 0.378906f, 0.402588f, 0.425781f, 0.449219f, 0.471924f, 0.494385f, 0.516602f, + 0.536621f, 0.557617f, 0.576660f, 0.596680f, 0.616211f, 0.632812f, 0.650879f, 0.668457f, + 0.684082f, 0.700684f, 0.715332f, 0.729492f, 0.744141f, 0.757812f, 0.771973f, 0.783691f, + 0.796387f, 0.807129f, 0.818359f, 0.829590f, 0.840820f, 0.850098f, 0.859375f, 0.868652f, + 0.877930f, 0.886719f, 0.894531f, 0.903320f, 0.910645f, 0.918945f, 0.925781f, 0.932617f, + 0.939453f, 0.945801f, 0.972656f, 0.969727f, 0.965820f, 0.961914f, 0.958496f, 0.955078f, + 0.006832f, 0.020676f, 0.036224f, 0.051758f, 0.069214f, 0.086609f, 0.105225f, 0.124146f, + 0.144653f, 0.165527f, 0.186646f, 0.209106f, 0.232178f, 0.254883f, 0.277588f, 0.301758f, + 0.325195f, 0.348633f, 0.371826f, 0.395264f, 0.418213f, 0.440674f, 0.463135f, 0.485596f, + 0.506348f, 0.527832f, 0.548340f, 0.567871f, 0.587891f, 0.606934f, 0.625977f, 0.642578f, + 0.660645f, 0.677734f, 0.692871f, 0.708008f, 0.723633f, 0.737793f, 0.752441f, 0.765137f, + 0.778320f, 0.791504f, 0.802734f, 0.814453f, 0.825684f, 0.835449f, 0.847168f, 0.856934f, + 0.866699f, 0.875488f, 0.884766f, 0.893066f, 0.901367f, 0.910156f, 0.917480f, 0.924805f, + 0.932129f, 0.938965f, 0.970215f, 0.966797f, 0.963379f, 0.959961f, 0.956543f, 0.953125f, + 0.006050f, 0.018585f, 0.031860f, 0.045807f, 0.060883f, 0.076538f, 0.093323f, 0.109985f, + 0.128174f, 0.147949f, 0.167480f, 0.186768f, 0.208496f, 0.230591f, 0.252441f, 0.274170f, + 0.297363f, 0.319824f, 0.342773f, 0.365723f, 0.388672f, 0.411133f, 0.433350f, 0.455811f, + 0.477295f, 0.498291f, 0.519531f, 0.539551f, 0.560059f, 0.580566f, 0.599121f, 0.617676f, + 0.635254f, 0.653320f, 0.669434f, 0.686523f, 0.702148f, 0.717773f, 0.732422f, 0.747070f, + 0.760742f, 0.773926f, 0.786621f, 0.798340f, 0.811035f, 0.822754f, 0.833008f, 0.843750f, + 0.854004f, 0.863770f, 0.873047f, 0.882812f, 0.891602f, 0.900879f, 0.908691f, 0.916504f, + 0.924316f, 0.931152f, 0.966309f, 0.964355f, 0.961426f, 0.957520f, 0.954102f, 0.951172f, + 0.005352f, 0.016388f, 0.027985f, 0.040222f, 0.053436f, 0.067261f, 0.082520f, 0.098022f, + 0.114319f, 0.131836f, 0.150146f, 0.167969f, 0.187744f, 0.208008f, 0.228271f, 0.249634f, + 0.270996f, 0.292969f, 0.314697f, 0.337158f, 0.359375f, 0.380859f, 0.403809f, 0.426025f, + 0.447510f, 0.469482f, 0.490967f, 0.511719f, 0.532227f, 0.552734f, 0.571777f, 0.591309f, + 0.609375f, 0.628418f, 0.645508f, 0.663086f, 0.680664f, 0.696289f, 0.711426f, 0.727051f, + 0.741699f, 0.755859f, 0.768555f, 0.782227f, 0.795410f, 0.807617f, 0.818359f, 0.830078f, + 0.841309f, 0.851074f, 0.861816f, 0.871582f, 0.880859f, 0.890625f, 0.898438f, 0.907715f, + 0.915527f, 0.923828f, 0.962402f, 0.961914f, 0.958496f, 0.955078f, 0.951172f, 0.948730f, + 0.004700f, 0.014397f, 0.025208f, 0.035675f, 0.047485f, 0.060120f, 0.073242f, 0.087097f, + 0.102173f, 0.117249f, 0.133789f, 0.150513f, 0.168823f, 0.186890f, 0.206665f, 0.225830f, + 0.246216f, 0.267334f, 0.288574f, 0.309814f, 0.331299f, 0.353271f, 0.375244f, 0.396729f, + 0.418701f, 0.440674f, 0.461182f, 0.483398f, 0.504883f, 0.524902f, 0.544434f, 0.564941f, + 0.584473f, 0.603027f, 0.621582f, 0.639648f, 0.656738f, 0.673828f, 0.690430f, 0.705566f, + 0.721680f, 0.736816f, 0.750977f, 0.764648f, 0.778809f, 0.791016f, 0.804688f, 0.815918f, + 0.826660f, 0.838867f, 0.850098f, 0.860840f, 0.870605f, 0.879883f, 0.889648f, 0.898438f, + 0.907227f, 0.915527f, 0.959961f, 0.958496f, 0.955078f, 0.952148f, 0.949219f, 0.946777f, + 0.004238f, 0.013138f, 0.022202f, 0.031769f, 0.042358f, 0.053040f, 0.065613f, 0.077637f, + 0.090759f, 0.104980f, 0.119995f, 0.135498f, 0.151855f, 0.167725f, 0.186646f, 0.205078f, + 0.224121f, 0.243042f, 0.263672f, 0.283936f, 0.305176f, 0.326416f, 0.347168f, 0.369629f, + 0.390625f, 0.411865f, 0.433350f, 0.454590f, 0.475830f, 0.497314f, 0.517578f, 0.537109f, + 0.557617f, 0.577637f, 0.596191f, 0.615723f, 0.632812f, 0.651367f, 0.668945f, 0.685059f, + 0.701172f, 0.716797f, 0.732422f, 0.747559f, 0.761230f, 0.775391f, 0.788574f, 0.800781f, + 0.813965f, 0.824707f, 0.837402f, 0.848145f, 0.859375f, 0.869141f, 0.879395f, 0.889160f, + 0.897949f, 0.906250f, 0.956055f, 0.955566f, 0.952148f, 0.950195f, 0.947266f, 0.943848f, + 0.003944f, 0.011490f, 0.019943f, 0.028748f, 0.037964f, 0.047485f, 0.058014f, 0.069702f, + 0.081360f, 0.093994f, 0.107361f, 0.121277f, 0.136353f, 0.151978f, 0.167480f, 0.185669f, + 0.202637f, 0.222168f, 0.240601f, 0.259766f, 0.279541f, 0.300293f, 0.321533f, 0.342285f, + 0.362549f, 0.384033f, 0.405762f, 0.427002f, 0.447998f, 0.469238f, 0.490479f, 0.510742f, + 0.532227f, 0.551758f, 0.570312f, 0.589844f, 0.609375f, 0.628418f, 0.645508f, 0.662598f, + 0.680664f, 0.696777f, 0.712402f, 0.728516f, 0.744141f, 0.757812f, 0.771973f, 0.785156f, + 0.798828f, 0.811523f, 0.824707f, 0.835449f, 0.847168f, 0.858887f, 0.869141f, 0.878906f, + 0.888672f, 0.897949f, 0.952148f, 0.952148f, 0.949219f, 0.946777f, 0.944336f, 0.941406f, + 0.003448f, 0.010574f, 0.017807f, 0.025558f, 0.033875f, 0.042633f, 0.052307f, 0.062134f, + 0.073059f, 0.084045f, 0.096375f, 0.109192f, 0.122803f, 0.136475f, 0.151367f, 0.167603f, + 0.183960f, 0.201416f, 0.218506f, 0.237427f, 0.256104f, 0.275635f, 0.295410f, 0.315918f, + 0.336426f, 0.357178f, 0.378906f, 0.399414f, 0.421143f, 0.442139f, 0.462891f, 0.484375f, + 0.504883f, 0.524902f, 0.544922f, 0.564941f, 0.583984f, 0.603516f, 0.622070f, 0.640625f, + 0.658691f, 0.675781f, 0.692871f, 0.709473f, 0.725098f, 0.740234f, 0.754883f, 0.769531f, + 0.783203f, 0.796875f, 0.809570f, 0.823242f, 0.834473f, 0.846191f, 0.857422f, 0.868164f, + 0.878906f, 0.889160f, 0.948730f, 0.948242f, 0.946289f, 0.944336f, 0.940918f, 0.938477f, + 0.003017f, 0.009422f, 0.015900f, 0.023041f, 0.030380f, 0.038574f, 0.047150f, 0.055969f, + 0.065735f, 0.075684f, 0.086426f, 0.098267f, 0.110535f, 0.123047f, 0.136841f, 0.151489f, + 0.166138f, 0.182495f, 0.198975f, 0.216553f, 0.233765f, 0.252930f, 0.271484f, 0.291016f, + 0.310547f, 0.331299f, 0.351562f, 0.372559f, 0.393555f, 0.415039f, 0.435059f, 0.457275f, + 0.477539f, 0.498047f, 0.519043f, 0.538574f, 0.559570f, 0.579102f, 0.598633f, 0.617188f, + 0.635742f, 0.654297f, 0.672363f, 0.688965f, 0.706055f, 0.721191f, 0.737793f, 0.752930f, + 0.768066f, 0.782227f, 0.795898f, 0.809082f, 0.821289f, 0.833496f, 0.846191f, 0.857422f, + 0.869141f, 0.879883f, 0.944824f, 0.945312f, 0.942871f, 0.940918f, 0.938477f, 0.936035f, + 0.002802f, 0.008575f, 0.014763f, 0.020844f, 0.027557f, 0.034576f, 0.042084f, 0.050476f, + 0.058990f, 0.067993f, 0.077942f, 0.087952f, 0.098999f, 0.111267f, 0.122803f, 0.136719f, + 0.150269f, 0.165527f, 0.180542f, 0.196533f, 0.213257f, 0.230591f, 0.248779f, 0.267334f, + 0.286865f, 0.306152f, 0.325928f, 0.346436f, 0.367188f, 0.387695f, 0.409424f, 0.429199f, + 0.450195f, 0.471680f, 0.492920f, 0.513184f, 0.534180f, 0.553711f, 0.573730f, 0.593750f, + 0.612793f, 0.631836f, 0.649414f, 0.668457f, 0.685059f, 0.703125f, 0.719238f, 0.735352f, + 0.750000f, 0.766113f, 0.781738f, 0.794434f, 0.808105f, 0.821777f, 0.833984f, 0.846191f, + 0.858398f, 0.870117f, 0.940918f, 0.941895f, 0.939941f, 0.937500f, 0.935059f, 0.932617f, + 0.002573f, 0.007603f, 0.013100f, 0.018799f, 0.024719f, 0.031372f, 0.038147f, 0.045105f, + 0.052795f, 0.061127f, 0.069519f, 0.079529f, 0.089355f, 0.099976f, 0.111084f, 0.123718f, + 0.136353f, 0.148926f, 0.163574f, 0.178345f, 0.194214f, 0.210083f, 0.227783f, 0.245361f, + 0.263672f, 0.282471f, 0.301758f, 0.321533f, 0.341797f, 0.361816f, 0.383057f, 0.403320f, + 0.424316f, 0.445557f, 0.466797f, 0.487061f, 0.507812f, 0.528809f, 0.549805f, 0.569336f, + 0.589844f, 0.608887f, 0.627930f, 0.646973f, 0.665527f, 0.682129f, 0.700195f, 0.717773f, + 0.732910f, 0.749512f, 0.765137f, 0.779785f, 0.794434f, 0.808105f, 0.821777f, 0.834473f, + 0.847168f, 0.859375f, 0.936523f, 0.937988f, 0.936035f, 0.933594f, 0.932129f, 0.929688f, + 0.002409f, 0.007107f, 0.011833f, 0.017075f, 0.022278f, 0.028351f, 0.034088f, 0.040558f, + 0.047943f, 0.055389f, 0.063232f, 0.072021f, 0.080322f, 0.090454f, 0.100220f, 0.111389f, + 0.122986f, 0.135010f, 0.148438f, 0.162109f, 0.176270f, 0.191772f, 0.207642f, 0.224121f, + 0.241699f, 0.259277f, 0.278076f, 0.297363f, 0.316650f, 0.336670f, 0.356934f, 0.377686f, + 0.397949f, 0.418701f, 0.439941f, 0.461914f, 0.482178f, 0.502930f, 0.524414f, 0.544922f, + 0.565918f, 0.585938f, 0.605957f, 0.625000f, 0.643066f, 0.662109f, 0.680176f, 0.698730f, + 0.715820f, 0.731934f, 0.748047f, 0.764648f, 0.780273f, 0.794434f, 0.808594f, 0.821777f, + 0.836914f, 0.848145f, 0.932129f, 0.934082f, 0.932617f, 0.930176f, 0.928711f, 0.926270f, + 0.002066f, 0.006329f, 0.010986f, 0.015541f, 0.020294f, 0.025452f, 0.030975f, 0.037201f, + 0.043152f, 0.049835f, 0.056824f, 0.064331f, 0.072998f, 0.081177f, 0.090637f, 0.100525f, + 0.110718f, 0.122131f, 0.134033f, 0.146851f, 0.159912f, 0.173584f, 0.189331f, 0.204468f, + 0.221191f, 0.237671f, 0.255615f, 0.273682f, 0.292969f, 0.312012f, 0.331543f, 0.352295f, + 0.372314f, 0.393311f, 0.413818f, 0.435547f, 0.456055f, 0.477539f, 0.499023f, 0.520508f, + 0.540039f, 0.561523f, 0.581543f, 0.602051f, 0.622070f, 0.641113f, 0.659668f, 0.678223f, + 0.697266f, 0.714844f, 0.731445f, 0.748535f, 0.765137f, 0.778809f, 0.794922f, 0.810059f, + 0.824219f, 0.837402f, 0.926758f, 0.930176f, 0.928711f, 0.926758f, 0.924805f, 0.922852f, + 0.001840f, 0.005703f, 0.009918f, 0.014099f, 0.018311f, 0.023026f, 0.028000f, 0.033508f, + 0.038971f, 0.045044f, 0.051880f, 0.058289f, 0.065796f, 0.073425f, 0.081482f, 0.090698f, + 0.100464f, 0.110413f, 0.121216f, 0.132812f, 0.145142f, 0.158203f, 0.171997f, 0.186401f, + 0.201538f, 0.217651f, 0.234497f, 0.251465f, 0.269287f, 0.288330f, 0.307129f, 0.327148f, + 0.346924f, 0.367920f, 0.388428f, 0.409668f, 0.430420f, 0.451416f, 0.474121f, 0.494873f, + 0.516113f, 0.537598f, 0.558105f, 0.579102f, 0.598633f, 0.619629f, 0.639160f, 0.657715f, + 0.677734f, 0.695801f, 0.713867f, 0.731934f, 0.748047f, 0.764160f, 0.781738f, 0.796875f, + 0.810547f, 0.826172f, 0.922363f, 0.925781f, 0.924805f, 0.922852f, 0.921387f, 0.919434f, + 0.001621f, 0.005188f, 0.008888f, 0.012939f, 0.016724f, 0.021271f, 0.025772f, 0.029984f, + 0.035553f, 0.040741f, 0.046417f, 0.052490f, 0.059265f, 0.066528f, 0.074097f, 0.081482f, + 0.090271f, 0.100220f, 0.109741f, 0.120178f, 0.131226f, 0.143188f, 0.156006f, 0.169189f, + 0.183716f, 0.198486f, 0.214233f, 0.230713f, 0.247925f, 0.265381f, 0.284424f, 0.303711f, + 0.322754f, 0.342773f, 0.363525f, 0.384277f, 0.405518f, 0.427002f, 0.447754f, 0.469727f, + 0.491455f, 0.512207f, 0.534180f, 0.554688f, 0.576172f, 0.597168f, 0.617188f, 0.636719f, + 0.657227f, 0.677734f, 0.695312f, 0.713379f, 0.731934f, 0.749512f, 0.766113f, 0.782715f, + 0.798340f, 0.813477f, 0.917480f, 0.920898f, 0.920410f, 0.919922f, 0.916992f, 0.915039f, + 0.001581f, 0.004616f, 0.008049f, 0.011917f, 0.015556f, 0.019547f, 0.023270f, 0.027908f, + 0.031860f, 0.036652f, 0.041992f, 0.047577f, 0.053528f, 0.060150f, 0.066772f, 0.073914f, + 0.082153f, 0.090088f, 0.099304f, 0.108887f, 0.118835f, 0.129517f, 0.141357f, 0.154297f, + 0.166992f, 0.180908f, 0.195557f, 0.210815f, 0.227173f, 0.244141f, 0.261963f, 0.279785f, + 0.299072f, 0.318359f, 0.338379f, 0.358887f, 0.380127f, 0.401123f, 0.422607f, 0.443848f, + 0.466309f, 0.487793f, 0.509277f, 0.530762f, 0.553223f, 0.573730f, 0.594727f, 0.616699f, + 0.636719f, 0.656250f, 0.676270f, 0.695801f, 0.713867f, 0.733398f, 0.750488f, 0.767090f, + 0.784180f, 0.801270f, 0.912598f, 0.916992f, 0.916504f, 0.914551f, 0.913086f, 0.911133f, + 0.001476f, 0.004410f, 0.007374f, 0.010620f, 0.013931f, 0.017258f, 0.021057f, 0.024979f, + 0.029144f, 0.033478f, 0.037872f, 0.042969f, 0.048737f, 0.053986f, 0.060150f, 0.066895f, + 0.074036f, 0.081665f, 0.089417f, 0.098083f, 0.107361f, 0.117371f, 0.127930f, 0.139648f, + 0.151489f, 0.164062f, 0.178589f, 0.192627f, 0.208130f, 0.223755f, 0.240601f, 0.258057f, + 0.275879f, 0.295654f, 0.314697f, 0.334961f, 0.354980f, 0.375977f, 0.396729f, 0.418945f, + 0.440430f, 0.462402f, 0.484619f, 0.506348f, 0.528809f, 0.550781f, 0.572266f, 0.593750f, + 0.615234f, 0.637207f, 0.656738f, 0.676758f, 0.696289f, 0.716309f, 0.734863f, 0.752930f, + 0.770508f, 0.788574f, 0.906738f, 0.911621f, 0.912109f, 0.910156f, 0.908691f, 0.907227f, + 0.001204f, 0.003998f, 0.006786f, 0.009850f, 0.012642f, 0.015762f, 0.019226f, 0.022751f, + 0.026749f, 0.030502f, 0.034698f, 0.038940f, 0.044006f, 0.048615f, 0.054352f, 0.060608f, + 0.066711f, 0.073059f, 0.080505f, 0.088318f, 0.097290f, 0.105835f, 0.115845f, 0.126343f, + 0.137085f, 0.148804f, 0.161377f, 0.175049f, 0.189331f, 0.204346f, 0.219604f, 0.236816f, + 0.253662f, 0.272217f, 0.291260f, 0.310547f, 0.330811f, 0.350830f, 0.372314f, 0.393799f, + 0.415771f, 0.437500f, 0.459717f, 0.481934f, 0.504883f, 0.527344f, 0.549316f, 0.571777f, + 0.593750f, 0.615723f, 0.636230f, 0.657715f, 0.678223f, 0.697754f, 0.718262f, 0.737793f, + 0.756348f, 0.774902f, 0.900879f, 0.907227f, 0.906738f, 0.905762f, 0.904297f, 0.902832f, + 0.001290f, 0.003807f, 0.006207f, 0.008652f, 0.011368f, 0.014618f, 0.017792f, 0.020813f, + 0.023849f, 0.027588f, 0.031036f, 0.035400f, 0.039917f, 0.044250f, 0.049408f, 0.054321f, + 0.059937f, 0.065918f, 0.072937f, 0.079773f, 0.087463f, 0.095703f, 0.104553f, 0.113892f, + 0.124146f, 0.134888f, 0.146606f, 0.159058f, 0.171753f, 0.185913f, 0.201416f, 0.216309f, + 0.232910f, 0.250000f, 0.268555f, 0.287354f, 0.306885f, 0.326904f, 0.347412f, 0.369141f, + 0.390381f, 0.412842f, 0.434570f, 0.457764f, 0.479736f, 0.502930f, 0.525879f, 0.547852f, + 0.570801f, 0.592773f, 0.615723f, 0.637207f, 0.659180f, 0.680176f, 0.700684f, 0.720703f, + 0.740234f, 0.759766f, 0.895996f, 0.901855f, 0.901855f, 0.900879f, 0.899414f, 0.897949f, + 0.001030f, 0.003561f, 0.005718f, 0.008301f, 0.010582f, 0.013283f, 0.015839f, 0.018753f, + 0.022156f, 0.025314f, 0.028427f, 0.032318f, 0.035889f, 0.040039f, 0.044434f, 0.048737f, + 0.054077f, 0.059723f, 0.065613f, 0.072083f, 0.079224f, 0.086426f, 0.094238f, 0.102966f, + 0.111938f, 0.122253f, 0.132568f, 0.143555f, 0.155884f, 0.168945f, 0.182861f, 0.197510f, + 0.213379f, 0.229492f, 0.246948f, 0.264648f, 0.283203f, 0.303467f, 0.322998f, 0.343994f, + 0.365479f, 0.387451f, 0.409912f, 0.432129f, 0.455078f, 0.478760f, 0.501465f, 0.523926f, + 0.547852f, 0.570801f, 0.593750f, 0.616211f, 0.639160f, 0.661133f, 0.682617f, 0.703613f, + 0.725098f, 0.745117f, 0.888672f, 0.896484f, 0.896973f, 0.895020f, 0.895508f, 0.893555f, + 0.001051f, 0.002956f, 0.005398f, 0.007523f, 0.009613f, 0.012024f, 0.014725f, 0.017059f, + 0.019714f, 0.022537f, 0.025681f, 0.029236f, 0.032715f, 0.036102f, 0.040100f, 0.043945f, + 0.048859f, 0.053772f, 0.058838f, 0.064880f, 0.070862f, 0.077576f, 0.084839f, 0.092712f, + 0.101013f, 0.110229f, 0.119446f, 0.130005f, 0.141113f, 0.153198f, 0.166016f, 0.179565f, + 0.193970f, 0.209351f, 0.225830f, 0.242920f, 0.261230f, 0.280273f, 0.299316f, 0.320068f, + 0.341309f, 0.363037f, 0.384521f, 0.407227f, 0.429443f, 0.453369f, 0.477051f, 0.500977f, + 0.524414f, 0.547852f, 0.571777f, 0.595215f, 0.619141f, 0.641602f, 0.664062f, 0.686035f, + 0.707520f, 0.729004f, 0.882812f, 0.891602f, 0.891113f, 0.890625f, 0.889160f, 0.888184f, + 0.000934f, 0.002998f, 0.004883f, 0.006859f, 0.009102f, 0.010925f, 0.012871f, 0.015656f, + 0.017853f, 0.020767f, 0.023422f, 0.026413f, 0.029251f, 0.032593f, 0.036011f, 0.039825f, + 0.044495f, 0.048645f, 0.053284f, 0.058258f, 0.063782f, 0.069885f, 0.076111f, 0.083313f, + 0.090881f, 0.099060f, 0.107788f, 0.117126f, 0.127075f, 0.138428f, 0.150391f, 0.162720f, + 0.176270f, 0.190796f, 0.206177f, 0.222290f, 0.239624f, 0.257568f, 0.276367f, 0.296387f, + 0.316895f, 0.338623f, 0.360352f, 0.382812f, 0.404785f, 0.428467f, 0.452148f, 0.476562f, + 0.500488f, 0.524902f, 0.548828f, 0.572754f, 0.597168f, 0.621094f, 0.644531f, 0.667480f, + 0.689941f, 0.712402f, 0.875977f, 0.883789f, 0.884766f, 0.884766f, 0.883301f, 0.883789f, + 0.001108f, 0.002474f, 0.004707f, 0.006248f, 0.007744f, 0.009888f, 0.011787f, 0.014244f, + 0.016205f, 0.018631f, 0.021286f, 0.023758f, 0.026535f, 0.029510f, 0.032654f, 0.035919f, + 0.039825f, 0.043762f, 0.047852f, 0.052368f, 0.057373f, 0.062561f, 0.068604f, 0.074707f, + 0.081360f, 0.088623f, 0.096802f, 0.105103f, 0.114624f, 0.124573f, 0.135498f, 0.147217f, + 0.159424f, 0.172729f, 0.187378f, 0.202881f, 0.219116f, 0.235962f, 0.254639f, 0.273438f, + 0.293945f, 0.314453f, 0.335449f, 0.358154f, 0.380371f, 0.403564f, 0.428223f, 0.452148f, + 0.476074f, 0.500977f, 0.525879f, 0.550293f, 0.575195f, 0.599609f, 0.625000f, 0.649414f, + 0.672852f, 0.695801f, 0.870117f, 0.879395f, 0.879883f, 0.879395f, 0.878906f, 0.877441f, + 0.000877f, 0.002495f, 0.003918f, 0.005669f, 0.007484f, 0.009148f, 0.010895f, 0.012634f, + 0.014717f, 0.017014f, 0.019302f, 0.021347f, 0.023849f, 0.026443f, 0.029388f, 0.032532f, + 0.035492f, 0.039185f, 0.042816f, 0.046906f, 0.051453f, 0.056122f, 0.061310f, 0.066895f, + 0.072937f, 0.079590f, 0.086548f, 0.094360f, 0.103027f, 0.111938f, 0.121643f, 0.132568f, + 0.144043f, 0.156006f, 0.169434f, 0.184204f, 0.199341f, 0.215698f, 0.233032f, 0.251221f, + 0.269531f, 0.290039f, 0.311768f, 0.333740f, 0.355957f, 0.379395f, 0.402344f, 0.426758f, + 0.451172f, 0.476562f, 0.501465f, 0.526855f, 0.552246f, 0.578613f, 0.603516f, 0.629395f, + 0.653809f, 0.679199f, 0.863281f, 0.872559f, 0.874023f, 0.873535f, 0.872559f, 0.871094f, + 0.000779f, 0.002241f, 0.003813f, 0.005371f, 0.006763f, 0.008186f, 0.009827f, 0.011574f, + 0.013260f, 0.015274f, 0.017303f, 0.019119f, 0.021362f, 0.023972f, 0.026505f, 0.029144f, + 0.031860f, 0.035126f, 0.038422f, 0.041809f, 0.045929f, 0.050323f, 0.054840f, 0.059631f, + 0.065002f, 0.070984f, 0.077759f, 0.084656f, 0.091736f, 0.100037f, 0.109436f, 0.118835f, + 0.129272f, 0.140625f, 0.152832f, 0.166138f, 0.180786f, 0.195679f, 0.211914f, 0.229736f, + 0.247803f, 0.267822f, 0.287598f, 0.309326f, 0.331055f, 0.354492f, 0.377686f, 0.401855f, + 0.426270f, 0.451660f, 0.477051f, 0.503418f, 0.529785f, 0.555664f, 0.583008f, 0.608887f, + 0.635254f, 0.661133f, 0.855957f, 0.865234f, 0.866699f, 0.867188f, 0.866211f, 0.865723f, + 0.000778f, 0.002155f, 0.003584f, 0.004871f, 0.006149f, 0.007519f, 0.008858f, 0.010498f, + 0.012100f, 0.013977f, 0.015511f, 0.017303f, 0.019363f, 0.021515f, 0.023880f, 0.026230f, + 0.028564f, 0.031555f, 0.034241f, 0.037476f, 0.041138f, 0.044983f, 0.048859f, 0.053436f, + 0.058014f, 0.063232f, 0.069214f, 0.075195f, 0.081848f, 0.089417f, 0.097168f, 0.106201f, + 0.115479f, 0.126343f, 0.137695f, 0.149658f, 0.162476f, 0.177002f, 0.192993f, 0.209473f, + 0.226440f, 0.245239f, 0.264404f, 0.285156f, 0.306885f, 0.330078f, 0.353271f, 0.376465f, + 0.402100f, 0.426758f, 0.453857f, 0.479492f, 0.505859f, 0.532715f, 0.560547f, 0.587402f, + 0.614258f, 0.640137f, 0.847168f, 0.858398f, 0.860352f, 0.859863f, 0.859863f, 0.858887f, + 0.000673f, 0.002026f, 0.003120f, 0.004242f, 0.005390f, 0.006874f, 0.008087f, 0.009346f, + 0.011192f, 0.012642f, 0.013855f, 0.015511f, 0.017502f, 0.019394f, 0.021301f, 0.023331f, + 0.025681f, 0.028137f, 0.030792f, 0.033295f, 0.036804f, 0.039917f, 0.043488f, 0.047363f, + 0.051880f, 0.056580f, 0.061646f, 0.066956f, 0.072998f, 0.079407f, 0.086609f, 0.094971f, + 0.103027f, 0.112793f, 0.122742f, 0.134399f, 0.146118f, 0.159058f, 0.173828f, 0.188599f, + 0.205444f, 0.223633f, 0.241943f, 0.262451f, 0.283203f, 0.304932f, 0.328369f, 0.352051f, + 0.376953f, 0.402100f, 0.428467f, 0.454834f, 0.481934f, 0.509766f, 0.537598f, 0.566406f, + 0.594238f, 0.622559f, 0.838867f, 0.852051f, 0.853516f, 0.853027f, 0.853027f, 0.852051f, + 0.000419f, 0.001721f, 0.003044f, 0.003881f, 0.005161f, 0.006329f, 0.007500f, 0.009117f, + 0.009941f, 0.011147f, 0.013023f, 0.014053f, 0.015869f, 0.017181f, 0.018906f, 0.020889f, + 0.023026f, 0.025085f, 0.027435f, 0.029724f, 0.032440f, 0.035492f, 0.038605f, 0.042175f, + 0.045898f, 0.049988f, 0.054504f, 0.059143f, 0.064697f, 0.070435f, 0.076721f, 0.083984f, + 0.091675f, 0.100037f, 0.109009f, 0.119629f, 0.130737f, 0.143066f, 0.156250f, 0.170654f, + 0.186157f, 0.202393f, 0.220825f, 0.239990f, 0.259521f, 0.281250f, 0.303467f, 0.327148f, + 0.351318f, 0.376953f, 0.402832f, 0.430664f, 0.458252f, 0.485596f, 0.514648f, 0.543457f, + 0.572754f, 0.602051f, 0.830566f, 0.844238f, 0.845703f, 0.845703f, 0.845703f, 0.845215f, + 0.000503f, 0.001644f, 0.002455f, 0.003765f, 0.004906f, 0.005901f, 0.006805f, 0.007744f, + 0.008789f, 0.009972f, 0.011314f, 0.012688f, 0.014160f, 0.015480f, 0.016953f, 0.018555f, + 0.020325f, 0.022232f, 0.024338f, 0.026535f, 0.028717f, 0.031403f, 0.034119f, 0.037384f, + 0.040680f, 0.044128f, 0.047943f, 0.052551f, 0.057098f, 0.062134f, 0.067871f, 0.074158f, + 0.081543f, 0.088684f, 0.097107f, 0.106262f, 0.116028f, 0.127563f, 0.139404f, 0.152344f, + 0.167358f, 0.182739f, 0.199951f, 0.217773f, 0.237427f, 0.257812f, 0.279541f, 0.303223f, + 0.327148f, 0.351807f, 0.377441f, 0.405518f, 0.433105f, 0.460449f, 0.491211f, 0.520020f, + 0.550293f, 0.581543f, 0.821777f, 0.835938f, 0.837891f, 0.838867f, 0.838867f, 0.837891f, + 0.000649f, 0.001432f, 0.002455f, 0.003469f, 0.004162f, 0.005192f, 0.006046f, 0.007053f, + 0.007919f, 0.009148f, 0.010185f, 0.011490f, 0.012558f, 0.013748f, 0.015083f, 0.016663f, + 0.018341f, 0.019897f, 0.021561f, 0.023376f, 0.025513f, 0.027725f, 0.030075f, 0.032745f, + 0.035583f, 0.038544f, 0.041901f, 0.045898f, 0.049896f, 0.054443f, 0.059784f, 0.065186f, + 0.071228f, 0.078247f, 0.085632f, 0.093872f, 0.103088f, 0.113098f, 0.123840f, 0.135986f, + 0.148682f, 0.163696f, 0.179321f, 0.196533f, 0.214722f, 0.234985f, 0.256104f, 0.278320f, + 0.302246f, 0.326660f, 0.352783f, 0.379395f, 0.406738f, 0.436279f, 0.465820f, 0.496338f, + 0.527344f, 0.559082f, 0.813477f, 0.827148f, 0.829590f, 0.830566f, 0.830566f, 0.829590f, + 0.000427f, 0.001431f, 0.002077f, 0.002947f, 0.004009f, 0.004860f, 0.005501f, 0.006416f, + 0.007008f, 0.008171f, 0.009155f, 0.010063f, 0.011154f, 0.012474f, 0.013336f, 0.014793f, + 0.016006f, 0.017471f, 0.019119f, 0.020630f, 0.022079f, 0.024078f, 0.026505f, 0.028687f, + 0.031128f, 0.033813f, 0.036804f, 0.040283f, 0.043732f, 0.047882f, 0.052094f, 0.057281f, + 0.062500f, 0.068726f, 0.075012f, 0.082581f, 0.090393f, 0.099487f, 0.109375f, 0.120728f, + 0.131958f, 0.145508f, 0.160278f, 0.176025f, 0.193848f, 0.212891f, 0.232788f, 0.253906f, + 0.277344f, 0.302002f, 0.327637f, 0.354248f, 0.382080f, 0.411621f, 0.441162f, 0.472656f, + 0.504395f, 0.536621f, 0.803223f, 0.818359f, 0.821777f, 0.821777f, 0.822266f, 0.821777f, + 0.000574f, 0.001416f, 0.001961f, 0.002621f, 0.003527f, 0.004250f, 0.004894f, 0.005653f, + 0.006340f, 0.007263f, 0.008255f, 0.008965f, 0.009819f, 0.010857f, 0.011864f, 0.012917f, + 0.014114f, 0.015358f, 0.016678f, 0.018005f, 0.019669f, 0.021347f, 0.023239f, 0.025070f, + 0.027267f, 0.029434f, 0.032318f, 0.035156f, 0.038269f, 0.041534f, 0.045624f, 0.049469f, + 0.054321f, 0.059479f, 0.065369f, 0.071655f, 0.078857f, 0.086853f, 0.095886f, 0.105652f, + 0.116943f, 0.128662f, 0.142090f, 0.156860f, 0.173096f, 0.190918f, 0.210327f, 0.231201f, + 0.253418f, 0.277100f, 0.302490f, 0.328369f, 0.356445f, 0.385254f, 0.415771f, 0.446533f, + 0.479736f, 0.513184f, 0.794434f, 0.810547f, 0.812500f, 0.813477f, 0.812988f, 0.813477f, + 0.000417f, 0.001152f, 0.002066f, 0.002480f, 0.003115f, 0.003778f, 0.004543f, 0.005001f, + 0.005936f, 0.006420f, 0.007130f, 0.007881f, 0.008789f, 0.009666f, 0.010605f, 0.011276f, + 0.012352f, 0.013367f, 0.014626f, 0.015732f, 0.017090f, 0.018509f, 0.020096f, 0.021759f, + 0.023895f, 0.025681f, 0.027740f, 0.030121f, 0.032776f, 0.036011f, 0.039276f, 0.042694f, + 0.046906f, 0.051575f, 0.056488f, 0.061951f, 0.068481f, 0.075684f, 0.083191f, 0.092102f, + 0.101990f, 0.112915f, 0.125122f, 0.138672f, 0.153564f, 0.170410f, 0.188477f, 0.208008f, + 0.229980f, 0.252441f, 0.276855f, 0.303711f, 0.331055f, 0.360596f, 0.391357f, 0.422607f, + 0.456299f, 0.490234f, 0.783203f, 0.799805f, 0.803223f, 0.804688f, 0.804199f, 0.805176f, + 0.000422f, 0.000885f, 0.001743f, 0.002075f, 0.002930f, 0.003460f, 0.004105f, 0.004696f, + 0.005257f, 0.005753f, 0.006550f, 0.006916f, 0.007805f, 0.008308f, 0.009109f, 0.010056f, + 0.010918f, 0.011627f, 0.012787f, 0.013725f, 0.014732f, 0.016113f, 0.017319f, 0.018906f, + 0.020264f, 0.022324f, 0.023911f, 0.026230f, 0.028183f, 0.030884f, 0.033661f, 0.036865f, + 0.040314f, 0.044189f, 0.048615f, 0.053284f, 0.058838f, 0.065491f, 0.072205f, 0.079651f, + 0.088379f, 0.098389f, 0.109314f, 0.121765f, 0.135010f, 0.150513f, 0.167358f, 0.186035f, + 0.206543f, 0.228516f, 0.252197f, 0.278320f, 0.305176f, 0.333496f, 0.364746f, 0.396973f, + 0.430176f, 0.465820f, 0.772949f, 0.790527f, 0.794434f, 0.794922f, 0.795410f, 0.794922f, + 0.000211f, 0.000970f, 0.001484f, 0.002035f, 0.002586f, 0.003040f, 0.003540f, 0.004086f, + 0.004696f, 0.005016f, 0.005508f, 0.006100f, 0.006763f, 0.007401f, 0.008011f, 0.008675f, + 0.009247f, 0.010071f, 0.011009f, 0.011940f, 0.012802f, 0.013870f, 0.014771f, 0.016281f, + 0.017487f, 0.018890f, 0.020584f, 0.022171f, 0.024200f, 0.026505f, 0.028870f, 0.031372f, + 0.034363f, 0.037659f, 0.041412f, 0.045685f, 0.050262f, 0.055664f, 0.061768f, 0.068359f, + 0.076172f, 0.084717f, 0.094666f, 0.105835f, 0.117798f, 0.131958f, 0.147095f, 0.164795f, + 0.184326f, 0.204956f, 0.228271f, 0.253174f, 0.279785f, 0.307861f, 0.338379f, 0.370361f, + 0.404785f, 0.440430f, 0.761230f, 0.780273f, 0.783691f, 0.785645f, 0.786133f, 0.785156f, + 0.000281f, 0.000954f, 0.001275f, 0.001745f, 0.002159f, 0.002810f, 0.003002f, 0.003622f, + 0.003918f, 0.004471f, 0.004776f, 0.005352f, 0.005852f, 0.006298f, 0.006989f, 0.007339f, + 0.008087f, 0.008698f, 0.009499f, 0.010208f, 0.010986f, 0.011871f, 0.012802f, 0.013809f, + 0.014923f, 0.016129f, 0.017624f, 0.018753f, 0.020645f, 0.022156f, 0.024399f, 0.026382f, + 0.029037f, 0.031769f, 0.034851f, 0.038513f, 0.042542f, 0.047180f, 0.052063f, 0.058136f, + 0.064819f, 0.072205f, 0.080933f, 0.090698f, 0.101685f, 0.114441f, 0.128784f, 0.144287f, + 0.162476f, 0.182617f, 0.203979f, 0.228149f, 0.253906f, 0.282227f, 0.312744f, 0.344482f, + 0.378418f, 0.415039f, 0.749023f, 0.770020f, 0.773438f, 0.774902f, 0.775391f, 0.776367f, + 0.000200f, 0.000790f, 0.001209f, 0.001475f, 0.002022f, 0.002375f, 0.002754f, 0.003136f, + 0.003532f, 0.003851f, 0.004253f, 0.004719f, 0.004864f, 0.005455f, 0.005749f, 0.006435f, + 0.007053f, 0.007557f, 0.007988f, 0.008614f, 0.009216f, 0.010101f, 0.010712f, 0.011604f, + 0.012596f, 0.013588f, 0.014877f, 0.016052f, 0.017334f, 0.018753f, 0.020401f, 0.022415f, + 0.024338f, 0.026642f, 0.029282f, 0.032196f, 0.035461f, 0.039215f, 0.043854f, 0.048706f, + 0.054413f, 0.060913f, 0.068237f, 0.076965f, 0.086792f, 0.097961f, 0.110657f, 0.125488f, + 0.141846f, 0.160278f, 0.180542f, 0.203857f, 0.229004f, 0.256348f, 0.286133f, 0.317627f, + 0.351807f, 0.388184f, 0.737305f, 0.757812f, 0.762695f, 0.763672f, 0.764160f, 0.764648f, + 0.000214f, 0.000700f, 0.001134f, 0.001480f, 0.001724f, 0.002056f, 0.002468f, 0.002672f, + 0.003069f, 0.003412f, 0.003618f, 0.003883f, 0.004265f, 0.004627f, 0.004971f, 0.005508f, + 0.005817f, 0.006397f, 0.006866f, 0.007244f, 0.007812f, 0.008446f, 0.009003f, 0.009872f, + 0.010544f, 0.011345f, 0.012375f, 0.013321f, 0.014275f, 0.015587f, 0.017075f, 0.018372f, + 0.020050f, 0.022186f, 0.024246f, 0.026596f, 0.029388f, 0.032562f, 0.036285f, 0.040344f, + 0.045197f, 0.050568f, 0.056946f, 0.064514f, 0.072876f, 0.082886f, 0.093933f, 0.107056f, + 0.122070f, 0.139404f, 0.158325f, 0.180176f, 0.204590f, 0.231201f, 0.260010f, 0.290771f, + 0.325195f, 0.361816f, 0.726074f, 0.747070f, 0.751465f, 0.753418f, 0.753906f, 0.754395f, + 0.000187f, 0.000637f, 0.001095f, 0.001133f, 0.001488f, 0.001872f, 0.002007f, 0.002253f, + 0.002590f, 0.002880f, 0.003010f, 0.003420f, 0.003593f, 0.003914f, 0.004322f, 0.004650f, + 0.005051f, 0.005424f, 0.005733f, 0.006134f, 0.006683f, 0.007183f, 0.007671f, 0.008072f, + 0.008720f, 0.009483f, 0.010201f, 0.011070f, 0.011871f, 0.012863f, 0.013924f, 0.015167f, + 0.016434f, 0.018143f, 0.019669f, 0.021851f, 0.024109f, 0.026749f, 0.029587f, 0.033020f, + 0.037109f, 0.041718f, 0.047119f, 0.053192f, 0.060516f, 0.068848f, 0.078857f, 0.090149f, + 0.104004f, 0.119202f, 0.136841f, 0.157471f, 0.180420f, 0.205322f, 0.234009f, 0.264648f, + 0.297852f, 0.335449f, 0.711914f, 0.735352f, 0.740234f, 0.741211f, 0.742676f, 0.742676f, + 0.000201f, 0.000676f, 0.000884f, 0.001044f, 0.001369f, 0.001633f, 0.001786f, 0.002001f, + 0.002237f, 0.002460f, 0.002680f, 0.002777f, 0.003117f, 0.003408f, 0.003632f, 0.003910f, + 0.004211f, 0.004375f, 0.004772f, 0.005226f, 0.005520f, 0.005909f, 0.006302f, 0.006882f, + 0.007385f, 0.007858f, 0.008553f, 0.008919f, 0.009827f, 0.010582f, 0.011398f, 0.012520f, + 0.013611f, 0.014725f, 0.016190f, 0.017593f, 0.019424f, 0.021622f, 0.023941f, 0.026703f, + 0.029938f, 0.033539f, 0.038055f, 0.043243f, 0.049408f, 0.056519f, 0.065002f, 0.074951f, + 0.086548f, 0.100403f, 0.116394f, 0.135132f, 0.156860f, 0.181030f, 0.208252f, 0.238281f, + 0.271240f, 0.307861f, 0.698730f, 0.722656f, 0.727539f, 0.729980f, 0.730957f, 0.730469f, + 0.000185f, 0.000371f, 0.000784f, 0.001028f, 0.001153f, 0.001304f, 0.001567f, 0.001792f, + 0.001790f, 0.002028f, 0.002283f, 0.002424f, 0.002640f, 0.002764f, 0.003044f, 0.003313f, + 0.003445f, 0.003748f, 0.004044f, 0.004337f, 0.004677f, 0.004879f, 0.005207f, 0.005661f, + 0.006027f, 0.006481f, 0.006870f, 0.007454f, 0.007874f, 0.008583f, 0.009239f, 0.009880f, + 0.010849f, 0.011871f, 0.012833f, 0.014153f, 0.015656f, 0.017151f, 0.018967f, 0.021118f, + 0.023621f, 0.026703f, 0.030197f, 0.034576f, 0.039368f, 0.045441f, 0.052460f, 0.061157f, + 0.070862f, 0.083069f, 0.097290f, 0.114441f, 0.134155f, 0.157104f, 0.182983f, 0.212158f, + 0.244507f, 0.281250f, 0.684570f, 0.710449f, 0.715332f, 0.717285f, 0.717773f, 0.718750f, + 0.000109f, 0.000455f, 0.000558f, 0.000757f, 0.000986f, 0.001166f, 0.001298f, 0.001310f, + 0.001566f, 0.001614f, 0.001852f, 0.001933f, 0.002062f, 0.002327f, 0.002571f, 0.002699f, + 0.002909f, 0.003057f, 0.003254f, 0.003496f, 0.003643f, 0.004066f, 0.004295f, 0.004665f, + 0.004822f, 0.005161f, 0.005722f, 0.006008f, 0.006424f, 0.006897f, 0.007435f, 0.008049f, + 0.008789f, 0.009529f, 0.010284f, 0.011177f, 0.012321f, 0.013466f, 0.014885f, 0.016586f, + 0.018417f, 0.020844f, 0.023575f, 0.026810f, 0.030655f, 0.035400f, 0.041412f, 0.048462f, + 0.056976f, 0.067322f, 0.079712f, 0.094543f, 0.112610f, 0.133789f, 0.158691f, 0.186279f, + 0.217896f, 0.253418f, 0.670898f, 0.696777f, 0.702148f, 0.704590f, 0.705078f, 0.705566f, + 0.000000f, 0.000317f, 0.000556f, 0.000619f, 0.000759f, 0.000889f, 0.001012f, 0.001163f, + 0.001282f, 0.001353f, 0.001531f, 0.001621f, 0.001681f, 0.001862f, 0.001976f, 0.002140f, + 0.002392f, 0.002502f, 0.002745f, 0.002838f, 0.003019f, 0.003311f, 0.003477f, 0.003639f, + 0.003889f, 0.004166f, 0.004429f, 0.004784f, 0.005119f, 0.005547f, 0.006042f, 0.006317f, + 0.006901f, 0.007442f, 0.008110f, 0.008751f, 0.009583f, 0.010590f, 0.011566f, 0.012894f, + 0.014404f, 0.015930f, 0.018158f, 0.020569f, 0.023697f, 0.027374f, 0.031830f, 0.037567f, + 0.044434f, 0.053009f, 0.063599f, 0.076538f, 0.092346f, 0.111511f, 0.134521f, 0.161133f, + 0.191772f, 0.227173f, 0.654297f, 0.684082f, 0.687988f, 0.690918f, 0.691895f, 0.691895f, + 0.000000f, 0.000275f, 0.000368f, 0.000572f, 0.000683f, 0.000731f, 0.000877f, 0.000979f, + 0.001039f, 0.001091f, 0.001234f, 0.001332f, 0.001447f, 0.001547f, 0.001601f, 0.001760f, + 0.001790f, 0.002007f, 0.002119f, 0.002245f, 0.002493f, 0.002565f, 0.002747f, 0.002920f, + 0.003168f, 0.003235f, 0.003551f, 0.003830f, 0.004040f, 0.004368f, 0.004658f, 0.005001f, + 0.005337f, 0.005798f, 0.006287f, 0.006794f, 0.007488f, 0.008087f, 0.008865f, 0.009773f, + 0.010963f, 0.012199f, 0.013649f, 0.015610f, 0.017822f, 0.020493f, 0.023849f, 0.028320f, + 0.033752f, 0.040466f, 0.049377f, 0.060028f, 0.073853f, 0.090698f, 0.111572f, 0.136841f, + 0.166016f, 0.199341f, 0.640137f, 0.667969f, 0.675781f, 0.676758f, 0.678223f, 0.678223f, + 0.000017f, 0.000193f, 0.000383f, 0.000487f, 0.000586f, 0.000597f, 0.000618f, 0.000733f, + 0.000826f, 0.000863f, 0.000902f, 0.001037f, 0.001121f, 0.001244f, 0.001342f, 0.001329f, + 0.001514f, 0.001506f, 0.001719f, 0.001793f, 0.001851f, 0.002016f, 0.002182f, 0.002281f, + 0.002432f, 0.002554f, 0.002708f, 0.002859f, 0.003168f, 0.003344f, 0.003563f, 0.003845f, + 0.004158f, 0.004478f, 0.004852f, 0.005154f, 0.005714f, 0.006207f, 0.006752f, 0.007370f, + 0.008186f, 0.009155f, 0.010193f, 0.011490f, 0.013016f, 0.015144f, 0.017517f, 0.020752f, + 0.024811f, 0.029922f, 0.036835f, 0.045593f, 0.056946f, 0.071533f, 0.090576f, 0.113159f, + 0.140991f, 0.173340f, 0.624023f, 0.653809f, 0.660156f, 0.663574f, 0.664551f, 0.664062f, + 0.000194f, 0.000227f, 0.000316f, 0.000451f, 0.000449f, 0.000482f, 0.000610f, 0.000511f, + 0.000654f, 0.000673f, 0.000804f, 0.000844f, 0.000880f, 0.000955f, 0.000961f, 0.001127f, + 0.001169f, 0.001210f, 0.001318f, 0.001330f, 0.001507f, 0.001592f, 0.001657f, 0.001771f, + 0.001839f, 0.001953f, 0.002083f, 0.002214f, 0.002399f, 0.002518f, 0.002815f, 0.002882f, + 0.003132f, 0.003361f, 0.003605f, 0.003925f, 0.004177f, 0.004528f, 0.004963f, 0.005527f, + 0.006027f, 0.006783f, 0.007381f, 0.008469f, 0.009644f, 0.010849f, 0.012772f, 0.014748f, + 0.017578f, 0.021332f, 0.026367f, 0.033142f, 0.042389f, 0.054413f, 0.070129f, 0.091064f, + 0.116943f, 0.147339f, 0.608887f, 0.640137f, 0.645996f, 0.647461f, 0.650391f, 0.651367f, + 0.000166f, 0.000146f, 0.000248f, 0.000320f, 0.000288f, 0.000446f, 0.000375f, 0.000407f, + 0.000468f, 0.000514f, 0.000629f, 0.000638f, 0.000681f, 0.000773f, 0.000806f, 0.000766f, + 0.000883f, 0.000927f, 0.000959f, 0.001036f, 0.001097f, 0.001172f, 0.001224f, 0.001297f, + 0.001392f, 0.001425f, 0.001592f, 0.001631f, 0.001793f, 0.001965f, 0.002089f, 0.002157f, + 0.002321f, 0.002495f, 0.002680f, 0.002874f, 0.003054f, 0.003305f, 0.003632f, 0.003902f, + 0.004314f, 0.004753f, 0.005306f, 0.005901f, 0.006828f, 0.007645f, 0.008896f, 0.010323f, + 0.012283f, 0.014816f, 0.018234f, 0.023010f, 0.029678f, 0.039276f, 0.052307f, 0.070190f, + 0.093811f, 0.123474f, 0.591797f, 0.623535f, 0.631348f, 0.633301f, 0.634766f, 0.635254f, + 0.000000f, 0.000154f, 0.000184f, 0.000257f, 0.000265f, 0.000266f, 0.000323f, 0.000291f, + 0.000369f, 0.000384f, 0.000450f, 0.000472f, 0.000505f, 0.000572f, 0.000577f, 0.000604f, + 0.000636f, 0.000675f, 0.000699f, 0.000736f, 0.000787f, 0.000840f, 0.000890f, 0.000945f, + 0.000988f, 0.001039f, 0.001165f, 0.001165f, 0.001266f, 0.001318f, 0.001410f, 0.001550f, + 0.001618f, 0.001743f, 0.001866f, 0.001997f, 0.002151f, 0.002319f, 0.002562f, 0.002779f, + 0.002975f, 0.003298f, 0.003674f, 0.004131f, 0.004604f, 0.005268f, 0.006065f, 0.007027f, + 0.008316f, 0.009949f, 0.012390f, 0.015526f, 0.019852f, 0.026733f, 0.036682f, 0.051666f, + 0.072449f, 0.099792f, 0.574707f, 0.608398f, 0.614746f, 0.618164f, 0.619629f, 0.621094f, + 0.000000f, 0.000008f, 0.000146f, 0.000181f, 0.000203f, 0.000243f, 0.000206f, 0.000250f, + 0.000257f, 0.000283f, 0.000335f, 0.000293f, 0.000304f, 0.000368f, 0.000373f, 0.000435f, + 0.000418f, 0.000468f, 0.000539f, 0.000540f, 0.000564f, 0.000598f, 0.000628f, 0.000657f, + 0.000716f, 0.000724f, 0.000797f, 0.000807f, 0.000883f, 0.001002f, 0.000974f, 0.001037f, + 0.001104f, 0.001196f, 0.001316f, 0.001394f, 0.001445f, 0.001574f, 0.001746f, 0.001829f, + 0.002005f, 0.002222f, 0.002401f, 0.002699f, 0.003057f, 0.003372f, 0.003874f, 0.004505f, + 0.005360f, 0.006500f, 0.007927f, 0.009972f, 0.012878f, 0.017258f, 0.024155f, 0.035339f, + 0.052795f, 0.077637f, 0.558105f, 0.592285f, 0.600586f, 0.602539f, 0.604004f, 0.605469f, + 0.000000f, 0.000107f, 0.000122f, 0.000093f, 0.000133f, 0.000142f, 0.000149f, 0.000174f, + 0.000174f, 0.000184f, 0.000190f, 0.000234f, 0.000214f, 0.000250f, 0.000273f, 0.000286f, + 0.000292f, 0.000302f, 0.000329f, 0.000336f, 0.000366f, 0.000391f, 0.000408f, 0.000444f, + 0.000452f, 0.000495f, 0.000531f, 0.000559f, 0.000578f, 0.000611f, 0.000659f, 0.000675f, + 0.000757f, 0.000771f, 0.000854f, 0.000906f, 0.000957f, 0.001004f, 0.001102f, 0.001187f, + 0.001267f, 0.001394f, 0.001546f, 0.001683f, 0.001922f, 0.002094f, 0.002420f, 0.002754f, + 0.003254f, 0.003878f, 0.004757f, 0.005997f, 0.007812f, 0.010544f, 0.014786f, 0.022324f, + 0.035522f, 0.057465f, 0.541504f, 0.576172f, 0.583984f, 0.585938f, 0.588379f, 0.590332f, + 0.000000f, 0.000099f, 0.000091f, 0.000084f, 0.000084f, 0.000086f, 0.000089f, 0.000101f, + 0.000105f, 0.000109f, 0.000122f, 0.000124f, 0.000132f, 0.000146f, 0.000171f, 0.000172f, + 0.000176f, 0.000198f, 0.000197f, 0.000239f, 0.000218f, 0.000235f, 0.000240f, 0.000281f, + 0.000309f, 0.000301f, 0.000312f, 0.000321f, 0.000347f, 0.000370f, 0.000387f, 0.000419f, + 0.000444f, 0.000458f, 0.000513f, 0.000536f, 0.000570f, 0.000607f, 0.000688f, 0.000703f, + 0.000754f, 0.000834f, 0.000890f, 0.000997f, 0.001100f, 0.001238f, 0.001410f, 0.001584f, + 0.001859f, 0.002207f, 0.002665f, 0.003323f, 0.004353f, 0.005947f, 0.008492f, 0.012909f, + 0.021606f, 0.039368f, 0.522461f, 0.559082f, 0.566406f, 0.569824f, 0.572266f, 0.572754f, + 0.000108f, 0.000089f, 0.000079f, 0.000072f, 0.000068f, 0.000065f, 0.000061f, 0.000057f, + 0.000061f, 0.000062f, 0.000063f, 0.000086f, 0.000070f, 0.000071f, 0.000095f, 0.000080f, + 0.000107f, 0.000113f, 0.000115f, 0.000124f, 0.000121f, 0.000130f, 0.000151f, 0.000154f, + 0.000164f, 0.000170f, 0.000176f, 0.000189f, 0.000193f, 0.000215f, 0.000211f, 0.000242f, + 0.000252f, 0.000260f, 0.000280f, 0.000293f, 0.000312f, 0.000350f, 0.000359f, 0.000389f, + 0.000410f, 0.000452f, 0.000481f, 0.000535f, 0.000578f, 0.000643f, 0.000718f, 0.000812f, + 0.000939f, 0.001107f, 0.001329f, 0.001644f, 0.002155f, 0.002930f, 0.004284f, 0.006706f, + 0.011452f, 0.023895f, 0.504395f, 0.542480f, 0.550293f, 0.553711f, 0.555664f, 0.557129f, + 0.000093f, 0.000072f, 0.000063f, 0.000058f, 0.000053f, 0.000050f, 0.000047f, 0.000046f, + 0.000044f, 0.000042f, 0.000039f, 0.000037f, 0.000042f, 0.000035f, 0.000036f, 0.000037f, + 0.000051f, 0.000046f, 0.000057f, 0.000058f, 0.000061f, 0.000062f, 0.000066f, 0.000069f, + 0.000072f, 0.000087f, 0.000077f, 0.000088f, 0.000093f, 0.000099f, 0.000103f, 0.000109f, + 0.000115f, 0.000122f, 0.000139f, 0.000134f, 0.000142f, 0.000170f, 0.000175f, 0.000179f, + 0.000192f, 0.000203f, 0.000228f, 0.000245f, 0.000265f, 0.000291f, 0.000326f, 0.000360f, + 0.000420f, 0.000481f, 0.000574f, 0.000686f, 0.000887f, 0.001203f, 0.001759f, 0.002892f, + 0.005318f, 0.011955f, 0.487305f, 0.524902f, 0.534180f, 0.538086f, 0.539551f, 0.540527f, + 0.000066f, 0.000049f, 0.000041f, 0.000037f, 0.000034f, 0.000033f, 0.000032f, 0.000030f, + 0.000029f, 0.000028f, 0.000028f, 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, + 0.000022f, 0.000021f, 0.000022f, 0.000023f, 0.000019f, 0.000018f, 0.000019f, 0.000024f, + 0.000026f, 0.000029f, 0.000032f, 0.000032f, 0.000036f, 0.000034f, 0.000040f, 0.000041f, + 0.000043f, 0.000049f, 0.000049f, 0.000050f, 0.000056f, 0.000059f, 0.000067f, 0.000067f, + 0.000074f, 0.000078f, 0.000082f, 0.000092f, 0.000094f, 0.000103f, 0.000120f, 0.000130f, + 0.000141f, 0.000163f, 0.000191f, 0.000230f, 0.000286f, 0.000374f, 0.000543f, 0.000890f, + 0.001802f, 0.004650f, 0.468994f, 0.507812f, 0.516602f, 0.520508f, 0.522461f, 0.523926f, + 0.000007f, 0.000008f, 0.000008f, 0.000008f, 0.000011f, 0.000010f, 0.000010f, 0.000011f, + 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000012f, + 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, + 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000009f, 0.000009f, + 0.000009f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000014f, 0.000013f, 0.000016f, + 0.000015f, 0.000018f, 0.000020f, 0.000021f, 0.000022f, 0.000025f, 0.000024f, 0.000025f, + 0.000030f, 0.000031f, 0.000040f, 0.000046f, 0.000052f, 0.000071f, 0.000099f, 0.000147f, + 0.000306f, 0.001072f, 0.450439f, 0.491211f, 0.499756f, 0.503418f, 0.505859f, 0.507324f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, + 0.000007f, 0.000024f, 0.432129f, 0.474121f, 0.482666f, 0.486572f, 0.489014f, 0.490234f, + }, + { + 0.027573f, 0.080750f, 0.130981f, 0.177734f, 0.222290f, 0.263672f, 0.302002f, 0.338623f, + 0.373291f, 0.405029f, 0.435791f, 0.464111f, 0.490967f, 0.516602f, 0.540039f, 0.563477f, + 0.584961f, 0.605469f, 0.625000f, 0.644043f, 0.660645f, 0.677246f, 0.693848f, 0.708496f, + 0.724121f, 0.738281f, 0.751465f, 0.764648f, 0.776855f, 0.789062f, 0.799805f, 0.810547f, + 0.821289f, 0.831055f, 0.840820f, 0.850098f, 0.859863f, 0.867676f, 0.876953f, 0.884277f, + 0.892578f, 0.900391f, 0.907227f, 0.914551f, 0.921875f, 0.928223f, 0.934082f, 0.940430f, + 0.946777f, 0.952637f, 0.957520f, 0.964355f, 0.968262f, 0.974121f, 0.979004f, 0.983887f, + 0.989258f, 0.994141f, 0.993164f, 0.983398f, 0.976074f, 0.969238f, 0.962891f, 0.957031f, + 0.022873f, 0.067871f, 0.111511f, 0.153809f, 0.193359f, 0.232788f, 0.268799f, 0.303223f, + 0.337402f, 0.368652f, 0.399414f, 0.427734f, 0.455078f, 0.481201f, 0.506348f, 0.529785f, + 0.552246f, 0.573242f, 0.593750f, 0.613281f, 0.632324f, 0.650391f, 0.667480f, 0.683105f, + 0.698730f, 0.713867f, 0.728516f, 0.741211f, 0.755371f, 0.767578f, 0.779785f, 0.791504f, + 0.803223f, 0.813477f, 0.823242f, 0.834473f, 0.843750f, 0.853027f, 0.861816f, 0.870605f, + 0.878906f, 0.887695f, 0.895996f, 0.901855f, 0.910645f, 0.917480f, 0.923828f, 0.930176f, + 0.937012f, 0.943359f, 0.949707f, 0.955078f, 0.960938f, 0.966797f, 0.972656f, 0.977051f, + 0.982422f, 0.987305f, 0.989746f, 0.981445f, 0.973633f, 0.967773f, 0.961426f, 0.956055f, + 0.019089f, 0.057007f, 0.095215f, 0.132202f, 0.168823f, 0.204712f, 0.238281f, 0.272217f, + 0.304688f, 0.334717f, 0.364502f, 0.392822f, 0.420898f, 0.446533f, 0.471924f, 0.495850f, + 0.518555f, 0.541992f, 0.562988f, 0.582520f, 0.602539f, 0.621094f, 0.639160f, 0.655762f, + 0.672852f, 0.687988f, 0.703613f, 0.718262f, 0.732422f, 0.746094f, 0.758789f, 0.771484f, + 0.783203f, 0.795898f, 0.807129f, 0.817383f, 0.827637f, 0.837402f, 0.846680f, 0.856445f, + 0.865234f, 0.874023f, 0.882324f, 0.890137f, 0.898438f, 0.905273f, 0.913574f, 0.920410f, + 0.927246f, 0.934082f, 0.940918f, 0.946777f, 0.953125f, 0.958496f, 0.964844f, 0.969727f, + 0.975586f, 0.980957f, 0.986816f, 0.979004f, 0.971680f, 0.965332f, 0.959961f, 0.954590f, + 0.016327f, 0.048676f, 0.081787f, 0.114807f, 0.147705f, 0.180176f, 0.211426f, 0.243652f, + 0.273438f, 0.303223f, 0.332031f, 0.360107f, 0.386963f, 0.412598f, 0.438477f, 0.462891f, + 0.487305f, 0.510254f, 0.530762f, 0.552246f, 0.572754f, 0.590820f, 0.610352f, 0.629883f, + 0.647461f, 0.662598f, 0.679688f, 0.693848f, 0.709961f, 0.723633f, 0.737305f, 0.750977f, + 0.763672f, 0.776367f, 0.788086f, 0.799316f, 0.810059f, 0.820801f, 0.832031f, 0.841309f, + 0.851074f, 0.860352f, 0.868652f, 0.877930f, 0.886230f, 0.894531f, 0.902832f, 0.910156f, + 0.916504f, 0.924316f, 0.930664f, 0.937500f, 0.943848f, 0.950684f, 0.957031f, 0.962891f, + 0.968262f, 0.974121f, 0.983887f, 0.976074f, 0.969727f, 0.963867f, 0.958496f, 0.953125f, + 0.013573f, 0.041901f, 0.070801f, 0.100098f, 0.129517f, 0.159058f, 0.187866f, 0.217041f, + 0.246216f, 0.274414f, 0.302002f, 0.328857f, 0.354980f, 0.381592f, 0.406738f, 0.431641f, + 0.455322f, 0.478271f, 0.500000f, 0.521484f, 0.541992f, 0.563477f, 0.583008f, 0.600098f, + 0.619141f, 0.636719f, 0.653320f, 0.671387f, 0.684570f, 0.699707f, 0.715332f, 0.729492f, + 0.743164f, 0.755371f, 0.768555f, 0.780762f, 0.792480f, 0.804199f, 0.814453f, 0.824707f, + 0.835449f, 0.845215f, 0.854980f, 0.864746f, 0.874023f, 0.882812f, 0.890137f, 0.898438f, + 0.905762f, 0.914062f, 0.921387f, 0.928223f, 0.935059f, 0.941406f, 0.948242f, 0.955078f, + 0.961426f, 0.966797f, 0.980957f, 0.973633f, 0.967773f, 0.961914f, 0.956543f, 0.951660f, + 0.011681f, 0.036316f, 0.061584f, 0.087524f, 0.113342f, 0.140259f, 0.167358f, 0.194214f, + 0.220947f, 0.247437f, 0.273926f, 0.300537f, 0.325684f, 0.351074f, 0.375732f, 0.400146f, + 0.423828f, 0.446533f, 0.469482f, 0.491943f, 0.512695f, 0.532715f, 0.553223f, 0.573242f, + 0.592285f, 0.609863f, 0.627930f, 0.644531f, 0.660156f, 0.676758f, 0.691406f, 0.706055f, + 0.720215f, 0.734863f, 0.749023f, 0.762207f, 0.774414f, 0.786133f, 0.797852f, 0.809082f, + 0.820801f, 0.831055f, 0.840332f, 0.850098f, 0.859863f, 0.869629f, 0.878418f, 0.886719f, + 0.895508f, 0.903809f, 0.910645f, 0.918945f, 0.925781f, 0.932617f, 0.939453f, 0.947754f, + 0.953613f, 0.958984f, 0.977539f, 0.970703f, 0.964844f, 0.959473f, 0.954102f, 0.949707f, + 0.010330f, 0.031525f, 0.053406f, 0.076538f, 0.100159f, 0.124084f, 0.148193f, 0.173096f, + 0.197998f, 0.223267f, 0.247681f, 0.273193f, 0.297607f, 0.322021f, 0.346924f, 0.370117f, + 0.394043f, 0.417236f, 0.439697f, 0.462158f, 0.483887f, 0.504883f, 0.524902f, 0.545410f, + 0.563477f, 0.583008f, 0.602539f, 0.618652f, 0.636230f, 0.652344f, 0.669922f, 0.685059f, + 0.699219f, 0.714355f, 0.729004f, 0.741211f, 0.755371f, 0.767578f, 0.780762f, 0.792480f, + 0.803711f, 0.815918f, 0.825195f, 0.836914f, 0.846191f, 0.855957f, 0.864746f, 0.874512f, + 0.883301f, 0.891602f, 0.900391f, 0.908203f, 0.916016f, 0.923828f, 0.931152f, 0.937988f, + 0.945801f, 0.952148f, 0.974121f, 0.967773f, 0.962891f, 0.957520f, 0.952637f, 0.947754f, + 0.009186f, 0.027359f, 0.047302f, 0.067505f, 0.088806f, 0.109924f, 0.132202f, 0.154907f, + 0.177246f, 0.201050f, 0.224121f, 0.247925f, 0.271240f, 0.295410f, 0.318359f, 0.341797f, + 0.365234f, 0.387939f, 0.410156f, 0.432861f, 0.454590f, 0.475586f, 0.495850f, 0.517090f, + 0.536621f, 0.556152f, 0.575195f, 0.592773f, 0.609863f, 0.628418f, 0.645020f, 0.661133f, + 0.677246f, 0.692383f, 0.707520f, 0.721191f, 0.735352f, 0.748047f, 0.762207f, 0.774414f, + 0.786621f, 0.798828f, 0.810547f, 0.820801f, 0.831543f, 0.842285f, 0.852539f, 0.862305f, + 0.871094f, 0.880859f, 0.889648f, 0.898438f, 0.906738f, 0.914551f, 0.921875f, 0.929199f, + 0.936035f, 0.944824f, 0.971191f, 0.965332f, 0.959473f, 0.955078f, 0.950195f, 0.945801f, + 0.008041f, 0.024384f, 0.041321f, 0.059631f, 0.078003f, 0.097656f, 0.117554f, 0.138428f, + 0.159912f, 0.181152f, 0.203003f, 0.224976f, 0.247070f, 0.269531f, 0.292480f, 0.314697f, + 0.337891f, 0.360352f, 0.382324f, 0.403809f, 0.426025f, 0.447998f, 0.468018f, 0.488770f, + 0.508301f, 0.528320f, 0.547852f, 0.567383f, 0.585449f, 0.603516f, 0.620605f, 0.637695f, + 0.654297f, 0.670410f, 0.686523f, 0.700195f, 0.715820f, 0.729980f, 0.743164f, 0.756836f, + 0.769531f, 0.782715f, 0.794434f, 0.805664f, 0.816895f, 0.827637f, 0.838379f, 0.848633f, + 0.859375f, 0.868164f, 0.877930f, 0.887695f, 0.895996f, 0.905273f, 0.912598f, 0.920898f, + 0.928711f, 0.936035f, 0.966797f, 0.962402f, 0.957031f, 0.952637f, 0.947754f, 0.943848f, + 0.007095f, 0.021515f, 0.036926f, 0.052704f, 0.069641f, 0.087463f, 0.105347f, 0.123413f, + 0.143188f, 0.163452f, 0.183105f, 0.204102f, 0.225220f, 0.246704f, 0.268066f, 0.290283f, + 0.311768f, 0.333740f, 0.355225f, 0.376465f, 0.397949f, 0.419434f, 0.440430f, 0.461670f, + 0.481445f, 0.500977f, 0.520020f, 0.540527f, 0.559570f, 0.578125f, 0.595703f, 0.613770f, + 0.630371f, 0.646973f, 0.663086f, 0.678223f, 0.694336f, 0.709473f, 0.723145f, 0.736328f, + 0.750000f, 0.764648f, 0.777344f, 0.790039f, 0.801270f, 0.812988f, 0.824707f, 0.834961f, + 0.846191f, 0.856934f, 0.865723f, 0.875977f, 0.884766f, 0.894531f, 0.903320f, 0.911621f, + 0.919922f, 0.927734f, 0.962891f, 0.959473f, 0.954102f, 0.949219f, 0.945312f, 0.941406f, + 0.006138f, 0.019150f, 0.033051f, 0.047089f, 0.061829f, 0.077515f, 0.094299f, 0.111084f, + 0.128174f, 0.146729f, 0.165771f, 0.185059f, 0.205200f, 0.224731f, 0.245361f, 0.265625f, + 0.286865f, 0.307861f, 0.328857f, 0.350098f, 0.370605f, 0.392090f, 0.413086f, 0.433594f, + 0.454346f, 0.474609f, 0.493896f, 0.513672f, 0.532227f, 0.552734f, 0.569824f, 0.588867f, + 0.605957f, 0.623047f, 0.640625f, 0.656738f, 0.672852f, 0.688477f, 0.703613f, 0.717773f, + 0.732910f, 0.746582f, 0.759766f, 0.772461f, 0.786621f, 0.798340f, 0.810059f, 0.820312f, + 0.832520f, 0.842773f, 0.853516f, 0.863770f, 0.873535f, 0.883789f, 0.892578f, 0.901367f, + 0.910645f, 0.919434f, 0.958984f, 0.955566f, 0.951172f, 0.946777f, 0.942871f, 0.938965f, + 0.005424f, 0.017059f, 0.029541f, 0.042023f, 0.055389f, 0.069397f, 0.083984f, 0.099670f, + 0.115601f, 0.132324f, 0.149292f, 0.167114f, 0.185547f, 0.204468f, 0.224121f, 0.243896f, + 0.262939f, 0.283691f, 0.304443f, 0.323486f, 0.345459f, 0.365479f, 0.386230f, 0.407471f, + 0.426758f, 0.448486f, 0.467529f, 0.487061f, 0.506348f, 0.526367f, 0.545410f, 0.563965f, + 0.581543f, 0.600098f, 0.617676f, 0.634277f, 0.650391f, 0.666016f, 0.682617f, 0.697754f, + 0.712891f, 0.727539f, 0.741211f, 0.755859f, 0.769043f, 0.782227f, 0.793945f, 0.806152f, + 0.818848f, 0.830566f, 0.840332f, 0.851074f, 0.861328f, 0.872070f, 0.881836f, 0.892090f, + 0.900879f, 0.910645f, 0.955566f, 0.952637f, 0.948730f, 0.943359f, 0.939941f, 0.935547f, + 0.004833f, 0.015442f, 0.026169f, 0.037689f, 0.049683f, 0.062164f, 0.075806f, 0.089539f, + 0.103760f, 0.119263f, 0.134888f, 0.151978f, 0.168335f, 0.186646f, 0.204102f, 0.223022f, + 0.242065f, 0.260986f, 0.280518f, 0.300537f, 0.320801f, 0.340820f, 0.360107f, 0.381104f, + 0.401367f, 0.421387f, 0.441650f, 0.460449f, 0.480957f, 0.500000f, 0.519531f, 0.538574f, + 0.557129f, 0.575684f, 0.593262f, 0.610840f, 0.628906f, 0.645508f, 0.662109f, 0.677246f, + 0.692871f, 0.708008f, 0.723145f, 0.738281f, 0.751465f, 0.766113f, 0.778320f, 0.791504f, + 0.802246f, 0.816406f, 0.827637f, 0.838867f, 0.850098f, 0.860352f, 0.871582f, 0.881348f, + 0.890137f, 0.899902f, 0.951660f, 0.948730f, 0.944824f, 0.940918f, 0.937012f, 0.933594f, + 0.004269f, 0.013809f, 0.023911f, 0.033569f, 0.044342f, 0.056213f, 0.068054f, 0.080811f, + 0.093933f, 0.107910f, 0.122131f, 0.137451f, 0.152710f, 0.169434f, 0.185791f, 0.203979f, + 0.221436f, 0.239990f, 0.257812f, 0.277344f, 0.296631f, 0.316162f, 0.335693f, 0.355713f, + 0.375244f, 0.395996f, 0.416016f, 0.436035f, 0.455078f, 0.474365f, 0.494629f, 0.513184f, + 0.532715f, 0.550781f, 0.569336f, 0.586914f, 0.604980f, 0.622559f, 0.639648f, 0.655762f, + 0.672363f, 0.688477f, 0.704102f, 0.718750f, 0.733887f, 0.747559f, 0.761230f, 0.775391f, + 0.788574f, 0.800781f, 0.814453f, 0.825684f, 0.837402f, 0.848633f, 0.859375f, 0.870605f, + 0.880371f, 0.891113f, 0.947754f, 0.945312f, 0.941895f, 0.937988f, 0.934082f, 0.931152f, + 0.004028f, 0.012581f, 0.021133f, 0.030396f, 0.039948f, 0.050323f, 0.061523f, 0.072815f, + 0.084961f, 0.096985f, 0.110535f, 0.124756f, 0.138916f, 0.153687f, 0.169800f, 0.185669f, + 0.202881f, 0.219116f, 0.237305f, 0.255615f, 0.273926f, 0.293213f, 0.311768f, 0.331055f, + 0.351074f, 0.370605f, 0.390381f, 0.409668f, 0.429688f, 0.449707f, 0.468994f, 0.487549f, + 0.506836f, 0.526367f, 0.545898f, 0.562988f, 0.581543f, 0.599121f, 0.616699f, 0.634766f, + 0.651367f, 0.667480f, 0.683594f, 0.699707f, 0.714844f, 0.730957f, 0.744141f, 0.758789f, + 0.772949f, 0.785645f, 0.799316f, 0.812500f, 0.823730f, 0.836914f, 0.847168f, 0.859375f, + 0.869629f, 0.880371f, 0.942383f, 0.941406f, 0.937500f, 0.934570f, 0.931152f, 0.927734f, + 0.003613f, 0.011391f, 0.018875f, 0.027679f, 0.036133f, 0.045624f, 0.055420f, 0.065491f, + 0.076416f, 0.088135f, 0.099487f, 0.112427f, 0.126099f, 0.139771f, 0.154419f, 0.169556f, + 0.184814f, 0.201050f, 0.218262f, 0.234985f, 0.252441f, 0.271484f, 0.289062f, 0.308594f, + 0.326660f, 0.346924f, 0.365234f, 0.384521f, 0.404541f, 0.424072f, 0.443359f, 0.463135f, + 0.482422f, 0.501953f, 0.521484f, 0.539551f, 0.558594f, 0.576660f, 0.595215f, 0.612793f, + 0.629883f, 0.647949f, 0.663574f, 0.679688f, 0.695801f, 0.711426f, 0.727539f, 0.741699f, + 0.757324f, 0.770996f, 0.785156f, 0.798828f, 0.811035f, 0.823730f, 0.835449f, 0.848145f, + 0.858887f, 0.870605f, 0.937988f, 0.937988f, 0.934570f, 0.931152f, 0.927734f, 0.924805f, + 0.003248f, 0.010185f, 0.017395f, 0.025055f, 0.032928f, 0.041321f, 0.049957f, 0.059265f, + 0.069092f, 0.079407f, 0.090820f, 0.101746f, 0.113770f, 0.126953f, 0.140381f, 0.154053f, + 0.168701f, 0.184082f, 0.199951f, 0.216431f, 0.232788f, 0.250000f, 0.267578f, 0.285645f, + 0.303955f, 0.322998f, 0.341553f, 0.361084f, 0.379150f, 0.399414f, 0.418701f, 0.437988f, + 0.457275f, 0.477051f, 0.496094f, 0.515137f, 0.534180f, 0.553223f, 0.571289f, 0.589844f, + 0.606934f, 0.625488f, 0.643066f, 0.659668f, 0.676758f, 0.692871f, 0.708984f, 0.725098f, + 0.740234f, 0.753906f, 0.769043f, 0.782227f, 0.796387f, 0.810059f, 0.822266f, 0.834961f, + 0.847168f, 0.859375f, 0.933594f, 0.933594f, 0.931152f, 0.927246f, 0.923828f, 0.921387f, + 0.002914f, 0.009361f, 0.015793f, 0.022659f, 0.029938f, 0.037354f, 0.045593f, 0.053406f, + 0.062988f, 0.072083f, 0.081665f, 0.092712f, 0.103943f, 0.114990f, 0.128174f, 0.140503f, + 0.153809f, 0.167725f, 0.182251f, 0.198242f, 0.213623f, 0.230225f, 0.246826f, 0.263672f, + 0.281494f, 0.300049f, 0.318604f, 0.337158f, 0.356201f, 0.374756f, 0.394531f, 0.413574f, + 0.433105f, 0.451904f, 0.471680f, 0.491211f, 0.509766f, 0.529297f, 0.547852f, 0.566895f, + 0.584961f, 0.603516f, 0.621094f, 0.638672f, 0.656738f, 0.673340f, 0.689453f, 0.706543f, + 0.722656f, 0.737793f, 0.752930f, 0.767578f, 0.781250f, 0.796875f, 0.809082f, 0.823242f, + 0.835449f, 0.847656f, 0.929199f, 0.929199f, 0.927246f, 0.923828f, 0.920898f, 0.917969f, + 0.002766f, 0.008736f, 0.014442f, 0.020691f, 0.027054f, 0.033905f, 0.040924f, 0.048645f, + 0.056976f, 0.065674f, 0.074951f, 0.084229f, 0.094116f, 0.105225f, 0.116333f, 0.127563f, + 0.139771f, 0.153564f, 0.166626f, 0.181030f, 0.196411f, 0.211182f, 0.227417f, 0.243896f, + 0.260742f, 0.277588f, 0.295898f, 0.314209f, 0.332031f, 0.351562f, 0.370117f, 0.389404f, + 0.408203f, 0.428223f, 0.447266f, 0.467041f, 0.486084f, 0.505859f, 0.524414f, 0.543945f, + 0.562012f, 0.581543f, 0.600098f, 0.617676f, 0.636230f, 0.654297f, 0.670898f, 0.687500f, + 0.704102f, 0.720703f, 0.736816f, 0.751465f, 0.766113f, 0.781738f, 0.796387f, 0.809082f, + 0.823242f, 0.835938f, 0.923828f, 0.925781f, 0.922852f, 0.920410f, 0.916992f, 0.914551f, + 0.002483f, 0.007599f, 0.013161f, 0.018555f, 0.024551f, 0.030670f, 0.037476f, 0.044464f, + 0.051636f, 0.059174f, 0.067688f, 0.075928f, 0.085693f, 0.095093f, 0.105591f, 0.116394f, + 0.127441f, 0.139648f, 0.152344f, 0.165527f, 0.179565f, 0.193970f, 0.208862f, 0.224487f, + 0.240356f, 0.256836f, 0.274658f, 0.291748f, 0.310059f, 0.328369f, 0.346680f, 0.365234f, + 0.384521f, 0.404297f, 0.423340f, 0.442139f, 0.462646f, 0.481445f, 0.500977f, 0.520020f, + 0.540039f, 0.559082f, 0.577148f, 0.596191f, 0.614746f, 0.632812f, 0.651367f, 0.669434f, + 0.685059f, 0.702637f, 0.718750f, 0.734375f, 0.750488f, 0.766113f, 0.780762f, 0.795410f, + 0.811035f, 0.823730f, 0.919434f, 0.920898f, 0.918457f, 0.916016f, 0.913086f, 0.910645f, + 0.002457f, 0.007114f, 0.011757f, 0.016708f, 0.022125f, 0.027786f, 0.033752f, 0.040375f, + 0.046661f, 0.053864f, 0.061584f, 0.069336f, 0.077515f, 0.086365f, 0.095947f, 0.105896f, + 0.116638f, 0.127075f, 0.138916f, 0.151245f, 0.164062f, 0.177490f, 0.191528f, 0.206177f, + 0.221802f, 0.237427f, 0.253906f, 0.270508f, 0.287842f, 0.305664f, 0.323730f, 0.342285f, + 0.361572f, 0.379639f, 0.399170f, 0.418457f, 0.438965f, 0.458252f, 0.477295f, 0.497559f, + 0.516113f, 0.536133f, 0.554688f, 0.574707f, 0.593750f, 0.612305f, 0.630859f, 0.648926f, + 0.666504f, 0.684082f, 0.701660f, 0.717773f, 0.734863f, 0.751465f, 0.766602f, 0.781738f, + 0.797852f, 0.812012f, 0.913086f, 0.916016f, 0.913574f, 0.911621f, 0.909180f, 0.906250f, + 0.002132f, 0.006493f, 0.010750f, 0.015717f, 0.020569f, 0.025604f, 0.030823f, 0.036682f, + 0.043060f, 0.049286f, 0.055786f, 0.062988f, 0.070557f, 0.078918f, 0.086914f, 0.096191f, + 0.105530f, 0.116028f, 0.126953f, 0.138306f, 0.149902f, 0.162231f, 0.175537f, 0.189453f, + 0.203491f, 0.218628f, 0.234131f, 0.250000f, 0.266602f, 0.284180f, 0.301514f, 0.319580f, + 0.338135f, 0.356689f, 0.375977f, 0.395020f, 0.413818f, 0.434082f, 0.452881f, 0.473145f, + 0.492920f, 0.512207f, 0.532227f, 0.552246f, 0.570801f, 0.591309f, 0.609375f, 0.629395f, + 0.646973f, 0.665527f, 0.683105f, 0.700684f, 0.717773f, 0.734863f, 0.751465f, 0.767578f, + 0.782715f, 0.799316f, 0.908203f, 0.911133f, 0.909180f, 0.907227f, 0.904785f, 0.902832f, + 0.001891f, 0.006008f, 0.010025f, 0.014122f, 0.018616f, 0.023239f, 0.028442f, 0.033691f, + 0.038757f, 0.044556f, 0.050964f, 0.057465f, 0.064087f, 0.071167f, 0.079224f, 0.087463f, + 0.096008f, 0.105591f, 0.115356f, 0.125488f, 0.136597f, 0.148193f, 0.160278f, 0.173218f, + 0.186768f, 0.200684f, 0.215332f, 0.231323f, 0.246338f, 0.262939f, 0.279785f, 0.297607f, + 0.314941f, 0.333984f, 0.353271f, 0.371094f, 0.391357f, 0.409668f, 0.430420f, 0.448975f, + 0.469482f, 0.489746f, 0.509277f, 0.528809f, 0.549316f, 0.568848f, 0.588379f, 0.607910f, + 0.626953f, 0.645996f, 0.664062f, 0.683105f, 0.700684f, 0.718262f, 0.735840f, 0.751953f, + 0.768555f, 0.785645f, 0.902344f, 0.906250f, 0.904785f, 0.902832f, 0.900391f, 0.898438f, + 0.001732f, 0.005573f, 0.009193f, 0.012932f, 0.017075f, 0.021286f, 0.025406f, 0.030289f, + 0.035675f, 0.040344f, 0.046326f, 0.052032f, 0.058411f, 0.064575f, 0.072205f, 0.079834f, + 0.087708f, 0.095947f, 0.104797f, 0.114380f, 0.124451f, 0.134888f, 0.146606f, 0.158691f, + 0.170776f, 0.184082f, 0.197510f, 0.212524f, 0.227417f, 0.243164f, 0.259521f, 0.276367f, + 0.293457f, 0.311768f, 0.329590f, 0.348633f, 0.367188f, 0.386230f, 0.406006f, 0.425781f, + 0.446533f, 0.465332f, 0.486084f, 0.505859f, 0.526367f, 0.545898f, 0.567383f, 0.585938f, + 0.605957f, 0.625977f, 0.645508f, 0.664551f, 0.683105f, 0.701172f, 0.718750f, 0.736816f, + 0.754395f, 0.770508f, 0.896484f, 0.900879f, 0.900391f, 0.897949f, 0.895996f, 0.894043f, + 0.001713f, 0.004684f, 0.008339f, 0.011818f, 0.015450f, 0.019409f, 0.023605f, 0.027832f, + 0.032349f, 0.036865f, 0.041809f, 0.047302f, 0.052673f, 0.058838f, 0.065613f, 0.072083f, + 0.079407f, 0.087280f, 0.095337f, 0.104126f, 0.113037f, 0.122986f, 0.133667f, 0.144897f, + 0.156250f, 0.168579f, 0.181396f, 0.195068f, 0.208984f, 0.224243f, 0.239624f, 0.255859f, + 0.272461f, 0.289551f, 0.307617f, 0.326172f, 0.344482f, 0.363770f, 0.383301f, 0.402588f, + 0.422607f, 0.443115f, 0.463135f, 0.483154f, 0.503418f, 0.523926f, 0.544434f, 0.564941f, + 0.584473f, 0.604980f, 0.624512f, 0.645508f, 0.664551f, 0.683594f, 0.701660f, 0.721191f, + 0.738281f, 0.755859f, 0.889648f, 0.895996f, 0.895020f, 0.893066f, 0.891602f, 0.889160f, + 0.001545f, 0.004745f, 0.007710f, 0.010979f, 0.014450f, 0.017807f, 0.021469f, 0.025238f, + 0.029282f, 0.033661f, 0.038177f, 0.043182f, 0.048157f, 0.053436f, 0.059326f, 0.065674f, + 0.072205f, 0.078857f, 0.086548f, 0.094604f, 0.102905f, 0.111816f, 0.121521f, 0.131592f, + 0.142334f, 0.153442f, 0.165894f, 0.178345f, 0.192139f, 0.205933f, 0.220703f, 0.236084f, + 0.251709f, 0.268555f, 0.285645f, 0.303467f, 0.321777f, 0.340332f, 0.359619f, 0.379150f, + 0.398682f, 0.419189f, 0.440430f, 0.460449f, 0.480957f, 0.501465f, 0.521973f, 0.543457f, + 0.563477f, 0.584961f, 0.604492f, 0.625488f, 0.645508f, 0.665039f, 0.684082f, 0.704102f, + 0.723145f, 0.741211f, 0.885254f, 0.890137f, 0.889160f, 0.887695f, 0.886719f, 0.884277f, + 0.001487f, 0.004356f, 0.006828f, 0.010162f, 0.012993f, 0.016022f, 0.019333f, 0.023087f, + 0.026886f, 0.030518f, 0.034668f, 0.039062f, 0.043671f, 0.048370f, 0.053741f, 0.059326f, + 0.065308f, 0.071655f, 0.078125f, 0.085693f, 0.093323f, 0.101807f, 0.110657f, 0.119507f, + 0.129517f, 0.140137f, 0.151367f, 0.163330f, 0.175781f, 0.188843f, 0.202759f, 0.217163f, + 0.232666f, 0.248413f, 0.264893f, 0.282227f, 0.299805f, 0.318115f, 0.336914f, 0.356445f, + 0.375488f, 0.395996f, 0.416504f, 0.436279f, 0.457520f, 0.479004f, 0.499023f, 0.520508f, + 0.541504f, 0.562988f, 0.583984f, 0.604492f, 0.625488f, 0.646973f, 0.666504f, 0.687012f, + 0.706055f, 0.725098f, 0.877441f, 0.885254f, 0.884766f, 0.882324f, 0.881836f, 0.880371f, + 0.001443f, 0.003807f, 0.006336f, 0.009171f, 0.011909f, 0.015007f, 0.018097f, 0.020905f, + 0.024384f, 0.027893f, 0.031555f, 0.035370f, 0.039581f, 0.044128f, 0.048889f, 0.053894f, + 0.059174f, 0.065125f, 0.070984f, 0.077698f, 0.084656f, 0.091919f, 0.100037f, 0.108093f, + 0.117493f, 0.127563f, 0.137817f, 0.148438f, 0.159912f, 0.172485f, 0.185547f, 0.199585f, + 0.213867f, 0.229248f, 0.244995f, 0.261230f, 0.278564f, 0.296387f, 0.314697f, 0.333252f, + 0.353271f, 0.372314f, 0.393311f, 0.413330f, 0.433594f, 0.455078f, 0.476318f, 0.497314f, + 0.519531f, 0.540527f, 0.562500f, 0.583496f, 0.605469f, 0.626953f, 0.648438f, 0.669434f, + 0.689941f, 0.709961f, 0.870605f, 0.878906f, 0.878418f, 0.877441f, 0.875488f, 0.873535f, + 0.001302f, 0.003712f, 0.005859f, 0.008286f, 0.010910f, 0.013779f, 0.016235f, 0.019135f, + 0.021912f, 0.025345f, 0.029022f, 0.032166f, 0.036011f, 0.040131f, 0.044128f, 0.048492f, + 0.053528f, 0.058533f, 0.064209f, 0.070129f, 0.076355f, 0.083191f, 0.090149f, 0.098328f, + 0.106628f, 0.115662f, 0.124817f, 0.134766f, 0.145630f, 0.157104f, 0.169678f, 0.182495f, + 0.195801f, 0.210205f, 0.225342f, 0.241455f, 0.257812f, 0.274902f, 0.292725f, 0.311035f, + 0.330322f, 0.349365f, 0.369873f, 0.390137f, 0.411133f, 0.432373f, 0.453369f, 0.474609f, + 0.496826f, 0.519043f, 0.541504f, 0.563477f, 0.585449f, 0.606445f, 0.629395f, 0.650391f, + 0.672363f, 0.693848f, 0.863281f, 0.872070f, 0.872070f, 0.871582f, 0.869629f, 0.868164f, + 0.001170f, 0.003151f, 0.005295f, 0.007812f, 0.010132f, 0.012466f, 0.015076f, 0.017517f, + 0.019943f, 0.023178f, 0.026443f, 0.029312f, 0.032471f, 0.036041f, 0.039978f, 0.044037f, + 0.048828f, 0.053070f, 0.057983f, 0.063232f, 0.068909f, 0.075378f, 0.081909f, 0.088745f, + 0.096375f, 0.104309f, 0.113281f, 0.122437f, 0.132202f, 0.142944f, 0.154419f, 0.166138f, + 0.178955f, 0.192505f, 0.206421f, 0.221558f, 0.237183f, 0.253906f, 0.270996f, 0.289062f, + 0.308105f, 0.326904f, 0.346924f, 0.366455f, 0.387695f, 0.408936f, 0.430176f, 0.451416f, + 0.474365f, 0.496582f, 0.518066f, 0.541016f, 0.563965f, 0.585938f, 0.608887f, 0.630859f, + 0.654297f, 0.675781f, 0.856934f, 0.865234f, 0.866211f, 0.864746f, 0.863281f, 0.862793f, + 0.001049f, 0.003254f, 0.005234f, 0.007263f, 0.009270f, 0.011307f, 0.013596f, 0.015869f, + 0.018555f, 0.020844f, 0.023972f, 0.026566f, 0.029739f, 0.033020f, 0.036316f, 0.039856f, + 0.044159f, 0.048096f, 0.052277f, 0.057281f, 0.062439f, 0.067871f, 0.073792f, 0.079956f, + 0.087158f, 0.094055f, 0.102234f, 0.110535f, 0.119934f, 0.129517f, 0.140259f, 0.151245f, + 0.162842f, 0.175537f, 0.189209f, 0.203369f, 0.218262f, 0.233643f, 0.250488f, 0.268066f, + 0.285645f, 0.304443f, 0.324219f, 0.343750f, 0.364014f, 0.385254f, 0.406494f, 0.428223f, + 0.450928f, 0.472656f, 0.495605f, 0.519043f, 0.541504f, 0.565918f, 0.588379f, 0.612305f, + 0.635742f, 0.659180f, 0.850098f, 0.859863f, 0.859863f, 0.858398f, 0.857910f, 0.856934f, + 0.000914f, 0.002861f, 0.004742f, 0.006569f, 0.008415f, 0.010521f, 0.012596f, 0.014648f, + 0.016708f, 0.019089f, 0.021515f, 0.023865f, 0.026688f, 0.029572f, 0.032928f, 0.036377f, + 0.039337f, 0.043365f, 0.047333f, 0.051544f, 0.056305f, 0.061066f, 0.066406f, 0.071960f, + 0.078247f, 0.084961f, 0.092163f, 0.099426f, 0.108215f, 0.116943f, 0.126831f, 0.136719f, + 0.148193f, 0.159302f, 0.171875f, 0.185669f, 0.199585f, 0.214478f, 0.230469f, 0.247070f, + 0.264160f, 0.282471f, 0.301270f, 0.321045f, 0.341553f, 0.362061f, 0.383545f, 0.404785f, + 0.427734f, 0.449951f, 0.473389f, 0.496582f, 0.520020f, 0.543457f, 0.568359f, 0.592285f, + 0.615723f, 0.639648f, 0.840820f, 0.851074f, 0.853027f, 0.853027f, 0.852051f, 0.850586f, + 0.000679f, 0.002518f, 0.004173f, 0.006149f, 0.008064f, 0.009369f, 0.011551f, 0.013222f, + 0.015175f, 0.017212f, 0.019592f, 0.021835f, 0.024048f, 0.026932f, 0.029846f, 0.032623f, + 0.035675f, 0.038940f, 0.042542f, 0.046295f, 0.050354f, 0.055054f, 0.059601f, 0.064880f, + 0.070190f, 0.076233f, 0.082703f, 0.089661f, 0.097229f, 0.105103f, 0.113831f, 0.123474f, + 0.133423f, 0.144409f, 0.156006f, 0.168335f, 0.182495f, 0.196411f, 0.211304f, 0.227295f, + 0.243530f, 0.260986f, 0.279053f, 0.298828f, 0.318359f, 0.339111f, 0.360107f, 0.381348f, + 0.403809f, 0.427490f, 0.449463f, 0.473633f, 0.497803f, 0.521484f, 0.546875f, 0.570801f, + 0.595703f, 0.620605f, 0.833008f, 0.845215f, 0.845703f, 0.845703f, 0.845215f, 0.843750f, + 0.000719f, 0.002470f, 0.003975f, 0.005337f, 0.007275f, 0.008713f, 0.010376f, 0.012032f, + 0.013580f, 0.015793f, 0.017609f, 0.019501f, 0.021530f, 0.024277f, 0.026657f, 0.029312f, + 0.031982f, 0.035187f, 0.038086f, 0.041565f, 0.045288f, 0.049103f, 0.053436f, 0.058136f, + 0.062927f, 0.068054f, 0.073853f, 0.080383f, 0.087341f, 0.094666f, 0.102173f, 0.111084f, + 0.120300f, 0.130859f, 0.141235f, 0.152954f, 0.164429f, 0.178223f, 0.192749f, 0.207642f, + 0.223145f, 0.239868f, 0.258301f, 0.276611f, 0.295654f, 0.316162f, 0.337402f, 0.358643f, + 0.380859f, 0.403320f, 0.427002f, 0.450684f, 0.474609f, 0.499756f, 0.523926f, 0.550781f, + 0.575195f, 0.600586f, 0.824707f, 0.836914f, 0.838379f, 0.838867f, 0.837402f, 0.837402f, + 0.000683f, 0.002361f, 0.003649f, 0.005116f, 0.006416f, 0.008202f, 0.009460f, 0.010941f, + 0.012817f, 0.014099f, 0.015839f, 0.017593f, 0.019867f, 0.021988f, 0.023926f, 0.026276f, + 0.028824f, 0.031311f, 0.034363f, 0.036957f, 0.040375f, 0.043823f, 0.047546f, 0.051758f, + 0.056183f, 0.061249f, 0.066162f, 0.071777f, 0.077942f, 0.084534f, 0.091553f, 0.099487f, + 0.107910f, 0.116882f, 0.127075f, 0.137451f, 0.148804f, 0.161499f, 0.174805f, 0.188721f, + 0.203735f, 0.220093f, 0.237427f, 0.254639f, 0.273926f, 0.293457f, 0.313965f, 0.334961f, + 0.357666f, 0.379883f, 0.403076f, 0.427002f, 0.451660f, 0.476807f, 0.501953f, 0.527344f, + 0.553711f, 0.581055f, 0.815918f, 0.829102f, 0.831055f, 0.831055f, 0.831055f, 0.830566f, + 0.000607f, 0.001863f, 0.003416f, 0.004528f, 0.005943f, 0.007191f, 0.008781f, 0.009964f, + 0.011337f, 0.012939f, 0.014458f, 0.015808f, 0.018051f, 0.019394f, 0.021332f, 0.023529f, + 0.025803f, 0.028168f, 0.030502f, 0.033020f, 0.036072f, 0.039032f, 0.042419f, 0.046082f, + 0.049927f, 0.054321f, 0.058411f, 0.063538f, 0.069336f, 0.075684f, 0.081787f, 0.088562f, + 0.096436f, 0.104553f, 0.113281f, 0.123596f, 0.133667f, 0.145386f, 0.157471f, 0.171021f, + 0.185547f, 0.200562f, 0.216553f, 0.234619f, 0.251709f, 0.271240f, 0.291504f, 0.312012f, + 0.333496f, 0.355957f, 0.379395f, 0.403076f, 0.428223f, 0.453857f, 0.479492f, 0.506348f, + 0.532715f, 0.560059f, 0.805664f, 0.820801f, 0.823730f, 0.822754f, 0.822754f, 0.822266f, + 0.000593f, 0.001862f, 0.002966f, 0.004341f, 0.005600f, 0.006516f, 0.007626f, 0.008995f, + 0.010223f, 0.011292f, 0.012848f, 0.014427f, 0.016098f, 0.017532f, 0.019165f, 0.021027f, + 0.022842f, 0.024918f, 0.027115f, 0.029739f, 0.032013f, 0.034637f, 0.037506f, 0.040955f, + 0.044220f, 0.048065f, 0.051941f, 0.056305f, 0.061768f, 0.066528f, 0.072327f, 0.078979f, + 0.085571f, 0.092834f, 0.101135f, 0.110229f, 0.119690f, 0.130127f, 0.141602f, 0.153564f, + 0.167114f, 0.181763f, 0.196899f, 0.213623f, 0.230957f, 0.249268f, 0.268555f, 0.289062f, + 0.310059f, 0.333252f, 0.355957f, 0.379883f, 0.404541f, 0.430176f, 0.456055f, 0.483887f, + 0.510254f, 0.539062f, 0.797852f, 0.812988f, 0.814941f, 0.815430f, 0.815918f, 0.814453f, + 0.000556f, 0.001811f, 0.002998f, 0.003815f, 0.004658f, 0.005905f, 0.007099f, 0.008232f, + 0.009239f, 0.010483f, 0.011559f, 0.013016f, 0.014305f, 0.015671f, 0.017090f, 0.018646f, + 0.020370f, 0.022369f, 0.024124f, 0.026062f, 0.028458f, 0.030624f, 0.033264f, 0.036041f, + 0.039307f, 0.042053f, 0.045807f, 0.049530f, 0.054016f, 0.058441f, 0.063904f, 0.069641f, + 0.075745f, 0.082520f, 0.089539f, 0.097717f, 0.106750f, 0.116150f, 0.126587f, 0.137817f, + 0.150024f, 0.163452f, 0.177490f, 0.193359f, 0.209717f, 0.227539f, 0.246704f, 0.266602f, + 0.287598f, 0.309326f, 0.332520f, 0.355713f, 0.380371f, 0.406494f, 0.432861f, 0.459961f, + 0.488525f, 0.517090f, 0.787598f, 0.804199f, 0.806641f, 0.807617f, 0.807617f, 0.807129f, + 0.000507f, 0.001697f, 0.002468f, 0.003351f, 0.004425f, 0.005486f, 0.006325f, 0.007412f, + 0.008156f, 0.009270f, 0.010239f, 0.011497f, 0.012520f, 0.013954f, 0.015182f, 0.016617f, + 0.018036f, 0.019714f, 0.021362f, 0.022934f, 0.024704f, 0.026886f, 0.029419f, 0.031525f, + 0.034302f, 0.037292f, 0.040558f, 0.043701f, 0.047577f, 0.051849f, 0.056183f, 0.061249f, + 0.066467f, 0.072876f, 0.078918f, 0.086548f, 0.094116f, 0.102844f, 0.112427f, 0.122620f, + 0.133667f, 0.146362f, 0.159668f, 0.174438f, 0.190063f, 0.207153f, 0.225098f, 0.244263f, + 0.264648f, 0.286377f, 0.308350f, 0.332275f, 0.357178f, 0.382080f, 0.408936f, 0.436035f, + 0.465820f, 0.495361f, 0.776855f, 0.794922f, 0.797852f, 0.799316f, 0.798828f, 0.798340f, + 0.000366f, 0.001644f, 0.002289f, 0.003046f, 0.004082f, 0.005032f, 0.005550f, 0.006599f, + 0.007389f, 0.008369f, 0.009201f, 0.010315f, 0.011276f, 0.012405f, 0.013466f, 0.014587f, + 0.015991f, 0.017303f, 0.018692f, 0.020081f, 0.021851f, 0.023865f, 0.025726f, 0.027771f, + 0.030136f, 0.032532f, 0.035309f, 0.038422f, 0.041626f, 0.045044f, 0.048767f, 0.053375f, + 0.057861f, 0.063477f, 0.069031f, 0.075684f, 0.082336f, 0.090515f, 0.099182f, 0.107849f, + 0.118958f, 0.130005f, 0.142212f, 0.156128f, 0.170898f, 0.186890f, 0.203857f, 0.222534f, + 0.241821f, 0.263428f, 0.285156f, 0.308105f, 0.332275f, 0.359131f, 0.385010f, 0.413086f, + 0.441895f, 0.472168f, 0.767090f, 0.785645f, 0.789062f, 0.789551f, 0.790527f, 0.789551f, + 0.000340f, 0.001434f, 0.002129f, 0.002827f, 0.003696f, 0.004463f, 0.005112f, 0.005730f, + 0.006836f, 0.007465f, 0.008217f, 0.008972f, 0.009972f, 0.010887f, 0.011948f, 0.012794f, + 0.013947f, 0.015030f, 0.016266f, 0.017670f, 0.019165f, 0.020813f, 0.022415f, 0.024216f, + 0.026047f, 0.028336f, 0.030594f, 0.033142f, 0.035858f, 0.039154f, 0.042328f, 0.046265f, + 0.050537f, 0.055237f, 0.059998f, 0.065918f, 0.072083f, 0.078918f, 0.086243f, 0.094788f, + 0.104309f, 0.114807f, 0.125854f, 0.138672f, 0.152222f, 0.166992f, 0.183716f, 0.200928f, + 0.220459f, 0.240112f, 0.261719f, 0.284668f, 0.308838f, 0.333740f, 0.360840f, 0.388672f, + 0.418213f, 0.448730f, 0.756348f, 0.775391f, 0.779297f, 0.780273f, 0.781250f, 0.780273f, + 0.000511f, 0.001174f, 0.002163f, 0.002554f, 0.003391f, 0.003990f, 0.004547f, 0.005211f, + 0.005993f, 0.006653f, 0.007462f, 0.007942f, 0.008781f, 0.009476f, 0.010323f, 0.011444f, + 0.012207f, 0.013062f, 0.014336f, 0.015427f, 0.016464f, 0.017929f, 0.019287f, 0.021164f, + 0.022461f, 0.024567f, 0.026474f, 0.028885f, 0.031067f, 0.033630f, 0.036835f, 0.040070f, + 0.043488f, 0.047394f, 0.051910f, 0.056732f, 0.062378f, 0.068481f, 0.075073f, 0.082764f, + 0.090881f, 0.100403f, 0.110779f, 0.122009f, 0.134399f, 0.148560f, 0.163940f, 0.180298f, + 0.198120f, 0.218140f, 0.239014f, 0.260986f, 0.285645f, 0.310059f, 0.336182f, 0.364502f, + 0.393311f, 0.424316f, 0.744629f, 0.765137f, 0.769531f, 0.770508f, 0.771484f, 0.771484f, + 0.000374f, 0.000983f, 0.001696f, 0.002279f, 0.002924f, 0.003571f, 0.004139f, 0.004742f, + 0.005390f, 0.005817f, 0.006371f, 0.006981f, 0.007648f, 0.008354f, 0.009041f, 0.009727f, + 0.010536f, 0.011375f, 0.012398f, 0.013535f, 0.014389f, 0.015541f, 0.016602f, 0.018112f, + 0.019516f, 0.020996f, 0.022644f, 0.024582f, 0.026627f, 0.028748f, 0.031586f, 0.034210f, + 0.037415f, 0.040588f, 0.044464f, 0.048676f, 0.053192f, 0.058472f, 0.064880f, 0.070984f, + 0.078674f, 0.086914f, 0.096191f, 0.106445f, 0.117859f, 0.130859f, 0.144775f, 0.160522f, + 0.177490f, 0.196411f, 0.215942f, 0.237793f, 0.261475f, 0.285645f, 0.312012f, 0.339111f, + 0.368652f, 0.400391f, 0.733887f, 0.755371f, 0.759766f, 0.760742f, 0.761719f, 0.761719f, + 0.000298f, 0.000924f, 0.001542f, 0.002125f, 0.002439f, 0.003153f, 0.003502f, 0.004196f, + 0.004585f, 0.005039f, 0.005531f, 0.006054f, 0.006531f, 0.007217f, 0.007935f, 0.008362f, + 0.009171f, 0.009773f, 0.010704f, 0.011505f, 0.012207f, 0.013321f, 0.014381f, 0.015556f, + 0.016586f, 0.017792f, 0.019608f, 0.020844f, 0.022583f, 0.024536f, 0.026566f, 0.028885f, + 0.031494f, 0.034332f, 0.037689f, 0.041260f, 0.045258f, 0.049927f, 0.054901f, 0.060699f, + 0.067322f, 0.074768f, 0.082764f, 0.091675f, 0.102173f, 0.113831f, 0.126831f, 0.141113f, + 0.157104f, 0.175049f, 0.194580f, 0.215210f, 0.237305f, 0.261475f, 0.287598f, 0.314697f, + 0.344482f, 0.375977f, 0.721680f, 0.744629f, 0.749512f, 0.751465f, 0.751465f, 0.751465f, + 0.000275f, 0.001002f, 0.001335f, 0.001704f, 0.002264f, 0.002790f, 0.003202f, 0.003555f, + 0.004017f, 0.004368f, 0.004894f, 0.005318f, 0.005592f, 0.006241f, 0.006611f, 0.007317f, + 0.007851f, 0.008560f, 0.009071f, 0.009758f, 0.010429f, 0.011375f, 0.011986f, 0.013130f, + 0.013916f, 0.015205f, 0.016403f, 0.017624f, 0.019119f, 0.020660f, 0.022278f, 0.024582f, + 0.026474f, 0.029007f, 0.031738f, 0.034668f, 0.038025f, 0.041962f, 0.046417f, 0.051270f, + 0.056915f, 0.063110f, 0.070312f, 0.078369f, 0.087769f, 0.098145f, 0.109863f, 0.123352f, + 0.137451f, 0.154785f, 0.172363f, 0.192261f, 0.214233f, 0.237793f, 0.262939f, 0.289795f, + 0.319336f, 0.351074f, 0.708984f, 0.733398f, 0.738281f, 0.740234f, 0.741211f, 0.740723f, + 0.000334f, 0.000805f, 0.001231f, 0.001640f, 0.002033f, 0.002277f, 0.002871f, 0.003115f, + 0.003481f, 0.003895f, 0.004147f, 0.004379f, 0.004841f, 0.005306f, 0.005653f, 0.006241f, + 0.006630f, 0.007217f, 0.007721f, 0.008133f, 0.008842f, 0.009529f, 0.010010f, 0.011017f, + 0.011780f, 0.012733f, 0.013626f, 0.014824f, 0.015656f, 0.017212f, 0.018829f, 0.020248f, + 0.021973f, 0.023926f, 0.026306f, 0.028900f, 0.031616f, 0.034973f, 0.038605f, 0.042816f, + 0.047424f, 0.052765f, 0.059021f, 0.066162f, 0.074219f, 0.083435f, 0.093994f, 0.105835f, + 0.119385f, 0.134277f, 0.151611f, 0.170532f, 0.191284f, 0.214233f, 0.239014f, 0.265381f, + 0.293701f, 0.325684f, 0.696289f, 0.722168f, 0.727051f, 0.729004f, 0.729980f, 0.729980f, + 0.000215f, 0.000635f, 0.001184f, 0.001348f, 0.001758f, 0.002171f, 0.002249f, 0.002596f, + 0.003004f, 0.003325f, 0.003487f, 0.003906f, 0.004108f, 0.004494f, 0.004955f, 0.005241f, + 0.005726f, 0.006134f, 0.006485f, 0.006916f, 0.007496f, 0.008072f, 0.008629f, 0.009071f, + 0.009857f, 0.010651f, 0.011375f, 0.012283f, 0.013283f, 0.014320f, 0.015350f, 0.016739f, + 0.017975f, 0.019852f, 0.021454f, 0.023712f, 0.025925f, 0.028717f, 0.031769f, 0.035217f, + 0.038910f, 0.043396f, 0.048767f, 0.054901f, 0.061707f, 0.069824f, 0.078613f, 0.089783f, + 0.101685f, 0.115479f, 0.131104f, 0.149292f, 0.168823f, 0.190674f, 0.214844f, 0.241211f, + 0.269775f, 0.299561f, 0.683594f, 0.709961f, 0.715332f, 0.717773f, 0.718262f, 0.718750f, + 0.000199f, 0.000826f, 0.001047f, 0.001288f, 0.001600f, 0.001857f, 0.002014f, 0.002329f, + 0.002535f, 0.002785f, 0.003027f, 0.003210f, 0.003580f, 0.003788f, 0.004025f, 0.004444f, + 0.004791f, 0.004974f, 0.005417f, 0.005909f, 0.006248f, 0.006672f, 0.007118f, 0.007664f, + 0.008232f, 0.008759f, 0.009598f, 0.009964f, 0.010956f, 0.011650f, 0.012665f, 0.013702f, + 0.014832f, 0.016144f, 0.017654f, 0.019211f, 0.021118f, 0.023102f, 0.025681f, 0.028320f, + 0.031708f, 0.035370f, 0.039673f, 0.044739f, 0.050812f, 0.057800f, 0.065796f, 0.074768f, + 0.085510f, 0.097961f, 0.112000f, 0.128662f, 0.147217f, 0.168213f, 0.190796f, 0.216309f, + 0.244751f, 0.274902f, 0.669922f, 0.698730f, 0.703613f, 0.705566f, 0.707031f, 0.707031f, + 0.000212f, 0.000458f, 0.000959f, 0.001192f, 0.001321f, 0.001500f, 0.001823f, 0.002064f, + 0.002073f, 0.002293f, 0.002512f, 0.002768f, 0.002981f, 0.003138f, 0.003431f, 0.003765f, + 0.003918f, 0.004238f, 0.004482f, 0.004814f, 0.005245f, 0.005531f, 0.005871f, 0.006214f, + 0.006660f, 0.007236f, 0.007664f, 0.008331f, 0.008812f, 0.009628f, 0.010277f, 0.010979f, + 0.012016f, 0.012978f, 0.014084f, 0.015495f, 0.016937f, 0.018494f, 0.020386f, 0.022659f, + 0.025208f, 0.028183f, 0.031860f, 0.036072f, 0.040894f, 0.046326f, 0.053009f, 0.061127f, + 0.070374f, 0.081238f, 0.094238f, 0.109314f, 0.126343f, 0.145874f, 0.167847f, 0.192505f, + 0.219604f, 0.249634f, 0.656738f, 0.686035f, 0.690430f, 0.694336f, 0.694336f, 0.696777f, + 0.000151f, 0.000529f, 0.000692f, 0.000883f, 0.001153f, 0.001337f, 0.001380f, 0.001520f, + 0.001753f, 0.001886f, 0.002077f, 0.002243f, 0.002386f, 0.002556f, 0.002832f, 0.003029f, + 0.003277f, 0.003447f, 0.003683f, 0.003952f, 0.004135f, 0.004578f, 0.004833f, 0.005222f, + 0.005417f, 0.005810f, 0.006355f, 0.006718f, 0.007076f, 0.007652f, 0.008293f, 0.008980f, + 0.009674f, 0.010422f, 0.011276f, 0.012283f, 0.013443f, 0.014664f, 0.016113f, 0.017853f, + 0.019897f, 0.022156f, 0.024826f, 0.028275f, 0.032135f, 0.036865f, 0.042389f, 0.049011f, + 0.056732f, 0.066223f, 0.077576f, 0.090820f, 0.106384f, 0.124512f, 0.145264f, 0.169067f, + 0.195190f, 0.224976f, 0.642578f, 0.671387f, 0.679688f, 0.682617f, 0.682617f, 0.683594f, + 0.000127f, 0.000376f, 0.000600f, 0.000721f, 0.000901f, 0.001066f, 0.001180f, 0.001332f, + 0.001455f, 0.001549f, 0.001709f, 0.001831f, 0.001947f, 0.002150f, 0.002245f, 0.002443f, + 0.002682f, 0.002844f, 0.002989f, 0.003201f, 0.003403f, 0.003683f, 0.003883f, 0.004097f, + 0.004372f, 0.004665f, 0.004963f, 0.005348f, 0.005711f, 0.006165f, 0.006672f, 0.007004f, + 0.007610f, 0.008278f, 0.008873f, 0.009636f, 0.010475f, 0.011475f, 0.012634f, 0.014053f, + 0.015404f, 0.017242f, 0.019104f, 0.021774f, 0.024750f, 0.028458f, 0.032745f, 0.038391f, + 0.044861f, 0.052795f, 0.062103f, 0.073914f, 0.087830f, 0.104553f, 0.123718f, 0.145996f, + 0.171509f, 0.200439f, 0.627930f, 0.658691f, 0.666504f, 0.668945f, 0.671387f, 0.671387f, + 0.000013f, 0.000374f, 0.000443f, 0.000688f, 0.000819f, 0.000844f, 0.001004f, 0.001132f, + 0.001216f, 0.001259f, 0.001405f, 0.001523f, 0.001566f, 0.001753f, 0.001842f, 0.001997f, + 0.002022f, 0.002287f, 0.002377f, 0.002541f, 0.002787f, 0.002878f, 0.003096f, 0.003283f, + 0.003551f, 0.003651f, 0.003971f, 0.004272f, 0.004524f, 0.004887f, 0.005196f, 0.005527f, + 0.005939f, 0.006386f, 0.006977f, 0.007526f, 0.008148f, 0.008835f, 0.009689f, 0.010689f, + 0.011810f, 0.013000f, 0.014641f, 0.016388f, 0.018799f, 0.021469f, 0.024734f, 0.029022f, + 0.034210f, 0.040588f, 0.048401f, 0.058319f, 0.070435f, 0.085205f, 0.102905f, 0.123901f, + 0.147827f, 0.175903f, 0.612793f, 0.645508f, 0.653320f, 0.656250f, 0.657227f, 0.657227f, + 0.000113f, 0.000234f, 0.000465f, 0.000547f, 0.000646f, 0.000684f, 0.000711f, 0.000832f, + 0.000963f, 0.000999f, 0.001042f, 0.001183f, 0.001279f, 0.001402f, 0.001494f, 0.001513f, + 0.001688f, 0.001716f, 0.001919f, 0.001993f, 0.002081f, 0.002253f, 0.002441f, 0.002575f, + 0.002714f, 0.002876f, 0.003050f, 0.003214f, 0.003531f, 0.003714f, 0.003956f, 0.004276f, + 0.004604f, 0.004967f, 0.005386f, 0.005718f, 0.006283f, 0.006790f, 0.007290f, 0.008133f, + 0.008957f, 0.009987f, 0.010956f, 0.012375f, 0.013916f, 0.015991f, 0.018311f, 0.021347f, + 0.025253f, 0.030289f, 0.036560f, 0.044586f, 0.054779f, 0.067749f, 0.083252f, 0.102722f, + 0.125732f, 0.152100f, 0.597168f, 0.631836f, 0.639160f, 0.643555f, 0.643066f, 0.645508f, + 0.000207f, 0.000175f, 0.000364f, 0.000507f, 0.000496f, 0.000569f, 0.000683f, 0.000584f, + 0.000737f, 0.000764f, 0.000885f, 0.000964f, 0.000999f, 0.001076f, 0.001085f, 0.001272f, + 0.001327f, 0.001354f, 0.001491f, 0.001494f, 0.001677f, 0.001781f, 0.001862f, 0.001976f, + 0.002079f, 0.002190f, 0.002338f, 0.002481f, 0.002691f, 0.002811f, 0.003117f, 0.003214f, + 0.003422f, 0.003706f, 0.003990f, 0.004314f, 0.004608f, 0.004982f, 0.005379f, 0.006027f, + 0.006580f, 0.007351f, 0.008049f, 0.009041f, 0.010323f, 0.011551f, 0.013428f, 0.015419f, + 0.018219f, 0.021713f, 0.026550f, 0.032715f, 0.040833f, 0.051605f, 0.065552f, 0.082458f, + 0.104004f, 0.129395f, 0.582031f, 0.618652f, 0.625488f, 0.627930f, 0.630859f, 0.631348f, + 0.000189f, 0.000160f, 0.000272f, 0.000387f, 0.000335f, 0.000486f, 0.000424f, 0.000469f, + 0.000551f, 0.000589f, 0.000700f, 0.000727f, 0.000772f, 0.000859f, 0.000891f, 0.000872f, + 0.001000f, 0.001048f, 0.001076f, 0.001172f, 0.001224f, 0.001311f, 0.001376f, 0.001450f, + 0.001554f, 0.001591f, 0.001760f, 0.001838f, 0.001999f, 0.002180f, 0.002333f, 0.002388f, + 0.002584f, 0.002777f, 0.002907f, 0.003162f, 0.003368f, 0.003677f, 0.003979f, 0.004303f, + 0.004715f, 0.005188f, 0.005787f, 0.006378f, 0.007313f, 0.008194f, 0.009407f, 0.010887f, + 0.012779f, 0.015198f, 0.018494f, 0.022888f, 0.029037f, 0.037659f, 0.048920f, 0.064270f, + 0.083740f, 0.107300f, 0.565918f, 0.603516f, 0.611328f, 0.614746f, 0.617188f, 0.618164f, + 0.000000f, 0.000170f, 0.000207f, 0.000274f, 0.000292f, 0.000309f, 0.000381f, 0.000326f, + 0.000418f, 0.000439f, 0.000519f, 0.000519f, 0.000560f, 0.000574f, 0.000652f, 0.000678f, + 0.000717f, 0.000756f, 0.000782f, 0.000820f, 0.000893f, 0.000937f, 0.000991f, 0.001063f, + 0.001112f, 0.001174f, 0.001284f, 0.001302f, 0.001408f, 0.001460f, 0.001586f, 0.001711f, + 0.001826f, 0.001959f, 0.002058f, 0.002207f, 0.002388f, 0.002565f, 0.002836f, 0.003046f, + 0.003284f, 0.003567f, 0.004009f, 0.004463f, 0.005001f, 0.005661f, 0.006451f, 0.007473f, + 0.008751f, 0.010368f, 0.012611f, 0.015587f, 0.019730f, 0.025787f, 0.034729f, 0.047272f, + 0.064392f, 0.087097f, 0.550293f, 0.587891f, 0.596680f, 0.600586f, 0.602539f, 0.603516f, + 0.000000f, 0.000057f, 0.000175f, 0.000210f, 0.000221f, 0.000261f, 0.000224f, 0.000285f, + 0.000296f, 0.000329f, 0.000374f, 0.000329f, 0.000344f, 0.000416f, 0.000421f, 0.000479f, + 0.000455f, 0.000530f, 0.000552f, 0.000598f, 0.000640f, 0.000670f, 0.000695f, 0.000740f, + 0.000798f, 0.000806f, 0.000883f, 0.000908f, 0.000983f, 0.001094f, 0.001083f, 0.001169f, + 0.001242f, 0.001340f, 0.001440f, 0.001536f, 0.001601f, 0.001752f, 0.001893f, 0.002029f, + 0.002218f, 0.002424f, 0.002651f, 0.002934f, 0.003294f, 0.003681f, 0.004200f, 0.004833f, + 0.005688f, 0.006863f, 0.008202f, 0.010178f, 0.012955f, 0.016846f, 0.023163f, 0.032745f, + 0.047150f, 0.067383f, 0.534180f, 0.574219f, 0.582031f, 0.584961f, 0.586914f, 0.589844f, + 0.000000f, 0.000105f, 0.000145f, 0.000101f, 0.000161f, 0.000163f, 0.000165f, 0.000193f, + 0.000190f, 0.000202f, 0.000205f, 0.000260f, 0.000251f, 0.000281f, 0.000305f, 0.000316f, + 0.000323f, 0.000346f, 0.000364f, 0.000383f, 0.000413f, 0.000436f, 0.000461f, 0.000486f, + 0.000515f, 0.000564f, 0.000594f, 0.000616f, 0.000639f, 0.000677f, 0.000729f, 0.000748f, + 0.000842f, 0.000861f, 0.000943f, 0.000970f, 0.001054f, 0.001120f, 0.001219f, 0.001310f, + 0.001398f, 0.001534f, 0.001709f, 0.001852f, 0.002096f, 0.002291f, 0.002594f, 0.002987f, + 0.003481f, 0.004128f, 0.004997f, 0.006218f, 0.007950f, 0.010445f, 0.014313f, 0.020874f, + 0.032166f, 0.049866f, 0.517578f, 0.558105f, 0.567383f, 0.570801f, 0.573730f, 0.574707f, + 0.000000f, 0.000097f, 0.000089f, 0.000082f, 0.000092f, 0.000096f, 0.000092f, 0.000118f, + 0.000126f, 0.000130f, 0.000138f, 0.000138f, 0.000143f, 0.000163f, 0.000181f, 0.000187f, + 0.000195f, 0.000228f, 0.000221f, 0.000261f, 0.000243f, 0.000254f, 0.000274f, 0.000299f, + 0.000334f, 0.000332f, 0.000345f, 0.000362f, 0.000394f, 0.000410f, 0.000433f, 0.000463f, + 0.000497f, 0.000510f, 0.000562f, 0.000594f, 0.000636f, 0.000670f, 0.000731f, 0.000777f, + 0.000832f, 0.000927f, 0.000991f, 0.001101f, 0.001210f, 0.001350f, 0.001513f, 0.001720f, + 0.001999f, 0.002373f, 0.002815f, 0.003498f, 0.004478f, 0.006001f, 0.008347f, 0.012299f, + 0.019669f, 0.034210f, 0.501465f, 0.542969f, 0.552246f, 0.556641f, 0.559082f, 0.559570f, + 0.000107f, 0.000087f, 0.000077f, 0.000070f, 0.000065f, 0.000066f, 0.000059f, 0.000064f, + 0.000065f, 0.000071f, 0.000070f, 0.000095f, 0.000081f, 0.000085f, 0.000110f, 0.000097f, + 0.000117f, 0.000126f, 0.000127f, 0.000133f, 0.000132f, 0.000141f, 0.000169f, 0.000173f, + 0.000185f, 0.000183f, 0.000192f, 0.000215f, 0.000216f, 0.000235f, 0.000236f, 0.000265f, + 0.000278f, 0.000290f, 0.000313f, 0.000317f, 0.000347f, 0.000365f, 0.000400f, 0.000422f, + 0.000457f, 0.000494f, 0.000535f, 0.000586f, 0.000639f, 0.000700f, 0.000786f, 0.000888f, + 0.001019f, 0.001207f, 0.001435f, 0.001746f, 0.002258f, 0.003019f, 0.004299f, 0.006523f, + 0.010612f, 0.020859f, 0.484619f, 0.527344f, 0.536621f, 0.541504f, 0.542969f, 0.544922f, + 0.000092f, 0.000070f, 0.000062f, 0.000056f, 0.000051f, 0.000048f, 0.000045f, 0.000044f, + 0.000041f, 0.000039f, 0.000038f, 0.000037f, 0.000047f, 0.000039f, 0.000041f, 0.000041f, + 0.000058f, 0.000053f, 0.000062f, 0.000064f, 0.000068f, 0.000072f, 0.000076f, 0.000076f, + 0.000078f, 0.000092f, 0.000085f, 0.000101f, 0.000104f, 0.000110f, 0.000115f, 0.000118f, + 0.000127f, 0.000133f, 0.000152f, 0.000150f, 0.000163f, 0.000190f, 0.000190f, 0.000202f, + 0.000213f, 0.000225f, 0.000249f, 0.000268f, 0.000296f, 0.000321f, 0.000354f, 0.000402f, + 0.000458f, 0.000520f, 0.000618f, 0.000744f, 0.000950f, 0.001263f, 0.001822f, 0.002865f, + 0.005028f, 0.010544f, 0.468018f, 0.511230f, 0.521484f, 0.524902f, 0.529297f, 0.529785f, + 0.000067f, 0.000049f, 0.000041f, 0.000037f, 0.000034f, 0.000032f, 0.000031f, 0.000029f, + 0.000028f, 0.000027f, 0.000027f, 0.000026f, 0.000025f, 0.000023f, 0.000022f, 0.000021f, + 0.000020f, 0.000020f, 0.000023f, 0.000024f, 0.000021f, 0.000022f, 0.000025f, 0.000029f, + 0.000030f, 0.000034f, 0.000036f, 0.000034f, 0.000039f, 0.000038f, 0.000045f, 0.000045f, + 0.000048f, 0.000051f, 0.000053f, 0.000055f, 0.000063f, 0.000070f, 0.000073f, 0.000073f, + 0.000080f, 0.000084f, 0.000089f, 0.000102f, 0.000107f, 0.000115f, 0.000128f, 0.000145f, + 0.000156f, 0.000178f, 0.000213f, 0.000253f, 0.000311f, 0.000400f, 0.000572f, 0.000916f, + 0.001751f, 0.004158f, 0.450439f, 0.496338f, 0.505859f, 0.510742f, 0.513184f, 0.514648f, + 0.000016f, 0.000013f, 0.000011f, 0.000010f, 0.000012f, 0.000012f, 0.000011f, 0.000012f, + 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, + 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, + 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000009f, 0.000009f, 0.000009f, + 0.000009f, 0.000011f, 0.000012f, 0.000012f, 0.000015f, 0.000014f, 0.000014f, 0.000017f, + 0.000018f, 0.000020f, 0.000020f, 0.000022f, 0.000026f, 0.000027f, 0.000028f, 0.000027f, + 0.000033f, 0.000036f, 0.000044f, 0.000051f, 0.000057f, 0.000078f, 0.000103f, 0.000159f, + 0.000315f, 0.000997f, 0.433350f, 0.479980f, 0.490234f, 0.495605f, 0.498291f, 0.499512f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, + 0.000007f, 0.000025f, 0.416016f, 0.464111f, 0.474854f, 0.479248f, 0.481934f, 0.484375f, + }, + { + 0.023209f, 0.069336f, 0.113037f, 0.154663f, 0.193726f, 0.231812f, 0.267578f, 0.301758f, + 0.333740f, 0.364258f, 0.393555f, 0.421631f, 0.447510f, 0.473145f, 0.497070f, 0.520020f, + 0.541992f, 0.562988f, 0.583008f, 0.602539f, 0.620605f, 0.638184f, 0.655762f, 0.671387f, + 0.687500f, 0.702637f, 0.716309f, 0.729980f, 0.744141f, 0.757812f, 0.769531f, 0.782227f, + 0.793945f, 0.804688f, 0.815918f, 0.826172f, 0.836426f, 0.846191f, 0.855957f, 0.865234f, + 0.874023f, 0.882812f, 0.891113f, 0.898926f, 0.907227f, 0.915039f, 0.922852f, 0.929688f, + 0.937012f, 0.943848f, 0.950684f, 0.956543f, 0.963379f, 0.969238f, 0.976074f, 0.981445f, + 0.986816f, 0.992676f, 0.991211f, 0.978516f, 0.968750f, 0.960449f, 0.952637f, 0.945312f, + 0.019730f, 0.059631f, 0.098206f, 0.135864f, 0.172119f, 0.206421f, 0.239624f, 0.272461f, + 0.304932f, 0.333984f, 0.362549f, 0.389648f, 0.416016f, 0.441406f, 0.466309f, 0.489502f, + 0.511230f, 0.533203f, 0.554199f, 0.573242f, 0.593262f, 0.611816f, 0.629395f, 0.645508f, + 0.662598f, 0.678711f, 0.693359f, 0.708496f, 0.722168f, 0.735840f, 0.750000f, 0.762207f, + 0.773926f, 0.786133f, 0.796875f, 0.808594f, 0.818848f, 0.829590f, 0.839355f, 0.850098f, + 0.859863f, 0.868652f, 0.877441f, 0.886230f, 0.895020f, 0.903809f, 0.911133f, 0.918457f, + 0.925781f, 0.933105f, 0.940430f, 0.946777f, 0.954590f, 0.960938f, 0.966797f, 0.973145f, + 0.979004f, 0.984863f, 0.987793f, 0.976074f, 0.966797f, 0.958496f, 0.951172f, 0.943848f, + 0.017151f, 0.051636f, 0.085510f, 0.119202f, 0.152466f, 0.184814f, 0.216187f, 0.246582f, + 0.276855f, 0.305664f, 0.332764f, 0.360107f, 0.385986f, 0.411621f, 0.435791f, 0.459473f, + 0.481445f, 0.502441f, 0.524414f, 0.546387f, 0.565430f, 0.583496f, 0.602051f, 0.619629f, + 0.636719f, 0.653320f, 0.669434f, 0.684082f, 0.699707f, 0.713867f, 0.728027f, 0.741211f, + 0.754883f, 0.767090f, 0.779297f, 0.791016f, 0.802734f, 0.813965f, 0.824219f, 0.833984f, + 0.843750f, 0.854492f, 0.863281f, 0.873535f, 0.882324f, 0.890137f, 0.898926f, 0.906738f, + 0.915039f, 0.922852f, 0.930176f, 0.937012f, 0.944336f, 0.951172f, 0.958008f, 0.964844f, + 0.970703f, 0.977051f, 0.983887f, 0.972656f, 0.964355f, 0.956543f, 0.949219f, 0.942383f, + 0.014885f, 0.044678f, 0.075195f, 0.104919f, 0.135254f, 0.165649f, 0.194702f, 0.223633f, + 0.251221f, 0.279053f, 0.305420f, 0.331543f, 0.357422f, 0.382568f, 0.406982f, 0.430420f, + 0.453369f, 0.475586f, 0.496582f, 0.517090f, 0.536133f, 0.556641f, 0.575684f, 0.592773f, + 0.611328f, 0.628418f, 0.643555f, 0.661621f, 0.676270f, 0.691406f, 0.705566f, 0.720215f, + 0.733887f, 0.746582f, 0.759766f, 0.772949f, 0.784668f, 0.795898f, 0.807129f, 0.818359f, + 0.828125f, 0.838867f, 0.848633f, 0.858887f, 0.867676f, 0.877441f, 0.886230f, 0.894531f, + 0.903320f, 0.911621f, 0.919434f, 0.927734f, 0.934570f, 0.940918f, 0.948730f, 0.956543f, + 0.962402f, 0.969238f, 0.979980f, 0.970215f, 0.961914f, 0.954102f, 0.947266f, 0.940918f, + 0.013046f, 0.038940f, 0.066162f, 0.093323f, 0.120544f, 0.147583f, 0.174683f, 0.201538f, + 0.228516f, 0.254639f, 0.280518f, 0.304932f, 0.330566f, 0.354492f, 0.379395f, 0.402100f, + 0.424561f, 0.446533f, 0.467529f, 0.488525f, 0.509277f, 0.529297f, 0.547852f, 0.566895f, + 0.585449f, 0.602539f, 0.620605f, 0.636230f, 0.653809f, 0.667480f, 0.684570f, 0.698242f, + 0.712891f, 0.726562f, 0.739746f, 0.753418f, 0.765625f, 0.777344f, 0.789551f, 0.801270f, + 0.812500f, 0.823730f, 0.833984f, 0.844238f, 0.854004f, 0.863770f, 0.874023f, 0.882324f, + 0.891113f, 0.899902f, 0.908203f, 0.916504f, 0.924805f, 0.932129f, 0.939453f, 0.947266f, + 0.954102f, 0.960938f, 0.976562f, 0.967285f, 0.958984f, 0.951660f, 0.944824f, 0.938965f, + 0.011696f, 0.034698f, 0.058807f, 0.083130f, 0.107727f, 0.132324f, 0.156982f, 0.182251f, + 0.207153f, 0.232178f, 0.256836f, 0.280762f, 0.304688f, 0.328369f, 0.352295f, 0.375244f, + 0.397461f, 0.419434f, 0.440430f, 0.461914f, 0.482178f, 0.501953f, 0.522461f, 0.540527f, + 0.559570f, 0.577148f, 0.595703f, 0.613281f, 0.628418f, 0.644531f, 0.661621f, 0.676270f, + 0.691406f, 0.705078f, 0.719727f, 0.733887f, 0.746094f, 0.759766f, 0.771973f, 0.784180f, + 0.795898f, 0.807617f, 0.818359f, 0.829102f, 0.839844f, 0.850098f, 0.859375f, 0.869629f, + 0.878906f, 0.887695f, 0.896484f, 0.905273f, 0.914062f, 0.921875f, 0.929688f, 0.937988f, + 0.944824f, 0.952637f, 0.973145f, 0.963379f, 0.956055f, 0.949219f, 0.942871f, 0.937012f, + 0.010094f, 0.030975f, 0.052063f, 0.073975f, 0.096069f, 0.118713f, 0.141479f, 0.164551f, + 0.187866f, 0.211182f, 0.234985f, 0.258057f, 0.280518f, 0.303467f, 0.326172f, 0.348145f, + 0.370117f, 0.392822f, 0.413574f, 0.434814f, 0.455322f, 0.476074f, 0.495361f, 0.515137f, + 0.533203f, 0.551758f, 0.569824f, 0.586426f, 0.604492f, 0.621582f, 0.637695f, 0.654297f, + 0.668945f, 0.683594f, 0.699219f, 0.712402f, 0.728516f, 0.741699f, 0.753906f, 0.767090f, + 0.778320f, 0.790527f, 0.802246f, 0.813965f, 0.824219f, 0.835449f, 0.846680f, 0.855957f, + 0.865723f, 0.875488f, 0.884766f, 0.894043f, 0.902832f, 0.911133f, 0.919434f, 0.927734f, + 0.935547f, 0.943359f, 0.968750f, 0.960449f, 0.953125f, 0.946289f, 0.940430f, 0.934570f, + 0.008797f, 0.027466f, 0.045959f, 0.066223f, 0.086304f, 0.106506f, 0.127441f, 0.149170f, + 0.170532f, 0.192261f, 0.213867f, 0.236206f, 0.258057f, 0.280273f, 0.301758f, 0.323486f, + 0.344727f, 0.367188f, 0.388184f, 0.408447f, 0.429443f, 0.450439f, 0.469727f, 0.489014f, + 0.508301f, 0.526855f, 0.545410f, 0.562500f, 0.581055f, 0.597656f, 0.613770f, 0.630859f, + 0.647461f, 0.663574f, 0.677734f, 0.693359f, 0.707031f, 0.720703f, 0.735352f, 0.748047f, + 0.760254f, 0.772461f, 0.785156f, 0.797363f, 0.810059f, 0.819824f, 0.831543f, 0.842285f, + 0.852051f, 0.862793f, 0.873047f, 0.882324f, 0.891113f, 0.899902f, 0.909180f, 0.917969f, + 0.925781f, 0.934082f, 0.964355f, 0.957031f, 0.949707f, 0.943359f, 0.937988f, 0.932129f, + 0.007927f, 0.024414f, 0.041077f, 0.059204f, 0.077148f, 0.095581f, 0.115479f, 0.134644f, + 0.154785f, 0.175293f, 0.196045f, 0.216553f, 0.236694f, 0.258057f, 0.278809f, 0.300049f, + 0.321289f, 0.342529f, 0.363281f, 0.383545f, 0.403564f, 0.424072f, 0.444092f, 0.463135f, + 0.483154f, 0.501953f, 0.519531f, 0.539062f, 0.555664f, 0.574707f, 0.591309f, 0.608398f, + 0.624512f, 0.640137f, 0.655762f, 0.671875f, 0.686523f, 0.701172f, 0.715820f, 0.729004f, + 0.742676f, 0.755859f, 0.769043f, 0.781738f, 0.792969f, 0.805176f, 0.816895f, 0.827637f, + 0.838867f, 0.849121f, 0.859375f, 0.870117f, 0.879395f, 0.889160f, 0.898926f, 0.906738f, + 0.916504f, 0.924805f, 0.960938f, 0.953125f, 0.947266f, 0.940430f, 0.935547f, 0.929688f, + 0.007080f, 0.022247f, 0.037445f, 0.053070f, 0.069336f, 0.086975f, 0.103577f, 0.121948f, + 0.140503f, 0.158936f, 0.178833f, 0.198242f, 0.217651f, 0.237793f, 0.257812f, 0.278076f, + 0.297607f, 0.318604f, 0.338623f, 0.358643f, 0.378662f, 0.399170f, 0.418213f, 0.438721f, + 0.457520f, 0.477051f, 0.495361f, 0.513672f, 0.531250f, 0.549316f, 0.567383f, 0.583984f, + 0.601562f, 0.617676f, 0.634277f, 0.650391f, 0.666016f, 0.680176f, 0.695801f, 0.710449f, + 0.723633f, 0.737305f, 0.750977f, 0.764648f, 0.776367f, 0.789551f, 0.802246f, 0.813477f, + 0.824219f, 0.835938f, 0.846680f, 0.857422f, 0.867188f, 0.876953f, 0.887207f, 0.895996f, + 0.905762f, 0.915527f, 0.955566f, 0.949707f, 0.943359f, 0.937988f, 0.932129f, 0.927246f, + 0.006363f, 0.019516f, 0.033691f, 0.047577f, 0.062469f, 0.078186f, 0.093933f, 0.110657f, + 0.127563f, 0.144653f, 0.162598f, 0.181152f, 0.199707f, 0.218384f, 0.237427f, 0.257324f, + 0.276367f, 0.295166f, 0.315674f, 0.335205f, 0.355225f, 0.374756f, 0.393799f, 0.413574f, + 0.432617f, 0.451904f, 0.470459f, 0.489258f, 0.508301f, 0.525879f, 0.543945f, 0.560059f, + 0.578613f, 0.595703f, 0.612793f, 0.628418f, 0.644531f, 0.659668f, 0.675293f, 0.689941f, + 0.704590f, 0.719238f, 0.732910f, 0.747070f, 0.759766f, 0.773438f, 0.785156f, 0.797852f, + 0.809570f, 0.821289f, 0.833008f, 0.843750f, 0.854980f, 0.865723f, 0.875977f, 0.886230f, + 0.895508f, 0.904785f, 0.951660f, 0.945801f, 0.939941f, 0.934570f, 0.929199f, 0.924805f, + 0.005985f, 0.017776f, 0.030212f, 0.043030f, 0.056488f, 0.070190f, 0.085205f, 0.100342f, + 0.115723f, 0.132446f, 0.148438f, 0.165771f, 0.183228f, 0.200684f, 0.218994f, 0.237183f, + 0.255859f, 0.274170f, 0.292725f, 0.313477f, 0.331299f, 0.351318f, 0.369873f, 0.389160f, + 0.408936f, 0.426758f, 0.446533f, 0.464844f, 0.483154f, 0.501465f, 0.519531f, 0.537598f, + 0.555664f, 0.572754f, 0.589844f, 0.605957f, 0.622070f, 0.639648f, 0.654297f, 0.670898f, + 0.685059f, 0.700195f, 0.714844f, 0.728516f, 0.742188f, 0.754883f, 0.769043f, 0.781738f, + 0.795410f, 0.808105f, 0.818359f, 0.830566f, 0.841797f, 0.853027f, 0.863770f, 0.874023f, + 0.884766f, 0.893555f, 0.947266f, 0.942383f, 0.936523f, 0.930664f, 0.926270f, 0.921387f, + 0.005173f, 0.016083f, 0.027359f, 0.038849f, 0.051056f, 0.063843f, 0.077026f, 0.091064f, + 0.105591f, 0.120422f, 0.135498f, 0.150879f, 0.167480f, 0.184326f, 0.201172f, 0.218384f, + 0.236084f, 0.254395f, 0.272949f, 0.291260f, 0.309570f, 0.328125f, 0.346680f, 0.365967f, + 0.384766f, 0.403320f, 0.422119f, 0.440918f, 0.458984f, 0.477783f, 0.496094f, 0.513672f, + 0.531738f, 0.548828f, 0.566406f, 0.583984f, 0.600098f, 0.617188f, 0.632812f, 0.649902f, + 0.665527f, 0.681152f, 0.694824f, 0.709473f, 0.724121f, 0.738770f, 0.752441f, 0.765137f, + 0.778809f, 0.791992f, 0.803711f, 0.815918f, 0.828125f, 0.839844f, 0.851562f, 0.862793f, + 0.873535f, 0.883789f, 0.941895f, 0.938477f, 0.933105f, 0.927246f, 0.922363f, 0.918457f, + 0.004791f, 0.014610f, 0.024475f, 0.035126f, 0.046478f, 0.057922f, 0.069885f, 0.083008f, + 0.096069f, 0.109253f, 0.123840f, 0.137939f, 0.153076f, 0.168701f, 0.185059f, 0.200928f, + 0.218262f, 0.234985f, 0.252686f, 0.270264f, 0.288086f, 0.306396f, 0.324951f, 0.343018f, + 0.362305f, 0.379883f, 0.398926f, 0.417236f, 0.435547f, 0.454346f, 0.472656f, 0.491211f, + 0.508301f, 0.526855f, 0.543457f, 0.561523f, 0.578125f, 0.595215f, 0.612305f, 0.628418f, + 0.644043f, 0.660645f, 0.675781f, 0.691406f, 0.706055f, 0.720215f, 0.735840f, 0.749023f, + 0.762695f, 0.776855f, 0.789551f, 0.800781f, 0.814941f, 0.826172f, 0.838867f, 0.851074f, + 0.862305f, 0.872070f, 0.937500f, 0.933594f, 0.929199f, 0.923828f, 0.919434f, 0.915527f, + 0.004387f, 0.013268f, 0.022385f, 0.031860f, 0.041962f, 0.052612f, 0.063171f, 0.075073f, + 0.086792f, 0.099854f, 0.113037f, 0.125977f, 0.140381f, 0.154663f, 0.169678f, 0.184814f, + 0.200562f, 0.217773f, 0.234131f, 0.250732f, 0.268066f, 0.284912f, 0.303223f, 0.321289f, + 0.339355f, 0.357666f, 0.375488f, 0.394043f, 0.411865f, 0.430664f, 0.448730f, 0.467041f, + 0.485352f, 0.503418f, 0.520508f, 0.539062f, 0.556152f, 0.573242f, 0.590820f, 0.606934f, + 0.624512f, 0.640625f, 0.655762f, 0.672363f, 0.687500f, 0.702148f, 0.718750f, 0.731934f, + 0.746582f, 0.759766f, 0.772949f, 0.787109f, 0.800781f, 0.813477f, 0.825195f, 0.838379f, + 0.850098f, 0.861816f, 0.932617f, 0.929688f, 0.925293f, 0.919922f, 0.915527f, 0.912109f, + 0.003941f, 0.011986f, 0.020630f, 0.029144f, 0.038544f, 0.048035f, 0.058075f, 0.068542f, + 0.079590f, 0.090942f, 0.102661f, 0.115295f, 0.128296f, 0.141602f, 0.155518f, 0.170654f, + 0.185425f, 0.200684f, 0.216309f, 0.231812f, 0.249146f, 0.265137f, 0.282471f, 0.299072f, + 0.317139f, 0.334717f, 0.352783f, 0.371338f, 0.388916f, 0.406982f, 0.425537f, 0.443848f, + 0.461914f, 0.479980f, 0.498291f, 0.515625f, 0.533203f, 0.550293f, 0.568359f, 0.585449f, + 0.603027f, 0.618652f, 0.635742f, 0.652344f, 0.668457f, 0.684082f, 0.699219f, 0.713867f, + 0.729004f, 0.743652f, 0.757812f, 0.771484f, 0.785645f, 0.798828f, 0.812012f, 0.824219f, + 0.836914f, 0.850098f, 0.927246f, 0.925293f, 0.920410f, 0.916504f, 0.912598f, 0.908203f, + 0.003790f, 0.011009f, 0.018829f, 0.026779f, 0.035339f, 0.043762f, 0.053223f, 0.062408f, + 0.072693f, 0.082947f, 0.093689f, 0.105469f, 0.117554f, 0.130005f, 0.142822f, 0.156494f, + 0.170166f, 0.184448f, 0.198975f, 0.213745f, 0.230469f, 0.246460f, 0.262939f, 0.279541f, + 0.296143f, 0.313721f, 0.331299f, 0.348633f, 0.367188f, 0.384521f, 0.402344f, 0.420410f, + 0.438965f, 0.457275f, 0.475830f, 0.493164f, 0.510742f, 0.528809f, 0.546387f, 0.564453f, + 0.581055f, 0.598145f, 0.615234f, 0.631836f, 0.647461f, 0.665527f, 0.680664f, 0.696289f, + 0.711914f, 0.728027f, 0.741211f, 0.756836f, 0.770508f, 0.783691f, 0.798340f, 0.811523f, + 0.824219f, 0.837402f, 0.921387f, 0.920410f, 0.916504f, 0.913086f, 0.908691f, 0.904785f, + 0.003479f, 0.009949f, 0.016937f, 0.024445f, 0.031708f, 0.039948f, 0.048218f, 0.056793f, + 0.066223f, 0.075928f, 0.085632f, 0.096313f, 0.107178f, 0.118958f, 0.130493f, 0.143311f, + 0.156494f, 0.170044f, 0.183960f, 0.197876f, 0.213501f, 0.228027f, 0.244019f, 0.260010f, + 0.276611f, 0.293213f, 0.309814f, 0.327393f, 0.344482f, 0.363037f, 0.379883f, 0.398438f, + 0.416504f, 0.434082f, 0.451904f, 0.470215f, 0.488525f, 0.505859f, 0.523926f, 0.541504f, + 0.559570f, 0.577637f, 0.594238f, 0.611328f, 0.628418f, 0.645020f, 0.661133f, 0.677246f, + 0.693848f, 0.709961f, 0.725586f, 0.739746f, 0.755371f, 0.769531f, 0.783203f, 0.797852f, + 0.810547f, 0.824707f, 0.916016f, 0.915527f, 0.912109f, 0.908691f, 0.904785f, 0.900879f, + 0.003014f, 0.008842f, 0.015640f, 0.022018f, 0.028885f, 0.036163f, 0.044250f, 0.051819f, + 0.059967f, 0.069031f, 0.078247f, 0.088135f, 0.098267f, 0.108337f, 0.119751f, 0.131470f, + 0.143433f, 0.156006f, 0.169189f, 0.183105f, 0.196655f, 0.211304f, 0.226196f, 0.241211f, + 0.257080f, 0.273438f, 0.289307f, 0.306396f, 0.323975f, 0.340576f, 0.358398f, 0.375732f, + 0.393799f, 0.411133f, 0.429688f, 0.447998f, 0.466064f, 0.483887f, 0.501465f, 0.519531f, + 0.537598f, 0.555664f, 0.573242f, 0.590820f, 0.607910f, 0.625000f, 0.642578f, 0.658203f, + 0.675293f, 0.691406f, 0.707520f, 0.724121f, 0.738770f, 0.753418f, 0.769531f, 0.783203f, + 0.797363f, 0.811523f, 0.910156f, 0.910645f, 0.907715f, 0.904785f, 0.900879f, 0.896973f, + 0.002861f, 0.008591f, 0.014000f, 0.020203f, 0.026962f, 0.033203f, 0.040161f, 0.047485f, + 0.055237f, 0.062988f, 0.071594f, 0.080750f, 0.089905f, 0.099854f, 0.109741f, 0.120056f, + 0.131592f, 0.143311f, 0.155640f, 0.167969f, 0.181763f, 0.195190f, 0.209229f, 0.223877f, + 0.238647f, 0.254150f, 0.269531f, 0.285889f, 0.302979f, 0.319824f, 0.336426f, 0.354004f, + 0.372070f, 0.389893f, 0.406982f, 0.424805f, 0.443359f, 0.461182f, 0.479492f, 0.498047f, + 0.515625f, 0.533691f, 0.551270f, 0.569336f, 0.587402f, 0.604492f, 0.622070f, 0.639160f, + 0.656738f, 0.673828f, 0.689941f, 0.705566f, 0.722168f, 0.737793f, 0.753418f, 0.768066f, + 0.783203f, 0.798340f, 0.904297f, 0.905762f, 0.902832f, 0.899414f, 0.895996f, 0.893066f, + 0.002535f, 0.007812f, 0.013252f, 0.018738f, 0.024384f, 0.030548f, 0.036774f, 0.043427f, + 0.050476f, 0.057556f, 0.065491f, 0.073425f, 0.082458f, 0.091370f, 0.100525f, 0.110413f, + 0.120605f, 0.131592f, 0.142822f, 0.154663f, 0.166870f, 0.180176f, 0.193237f, 0.207031f, + 0.221191f, 0.236084f, 0.250732f, 0.266602f, 0.282959f, 0.299072f, 0.315430f, 0.332520f, + 0.350342f, 0.367676f, 0.385010f, 0.403076f, 0.421631f, 0.439209f, 0.457520f, 0.475342f, + 0.494141f, 0.512695f, 0.530273f, 0.547852f, 0.565918f, 0.584473f, 0.602051f, 0.619629f, + 0.637207f, 0.655273f, 0.671387f, 0.688965f, 0.706055f, 0.721191f, 0.737305f, 0.752930f, + 0.769531f, 0.784668f, 0.898438f, 0.900879f, 0.897949f, 0.894531f, 0.891602f, 0.888672f, + 0.002411f, 0.007103f, 0.012161f, 0.017105f, 0.022385f, 0.027985f, 0.033203f, 0.039581f, + 0.045532f, 0.052521f, 0.059814f, 0.067261f, 0.074768f, 0.083313f, 0.092041f, 0.101013f, + 0.110291f, 0.120361f, 0.130615f, 0.141724f, 0.153076f, 0.165283f, 0.177612f, 0.190918f, + 0.204346f, 0.218506f, 0.233154f, 0.247559f, 0.263428f, 0.279053f, 0.295166f, 0.312256f, + 0.328857f, 0.345947f, 0.363281f, 0.381348f, 0.398926f, 0.417236f, 0.435547f, 0.453369f, + 0.471191f, 0.489502f, 0.508301f, 0.525879f, 0.545410f, 0.563477f, 0.581055f, 0.600098f, + 0.617676f, 0.635254f, 0.653809f, 0.670410f, 0.687500f, 0.705078f, 0.720703f, 0.736816f, + 0.753418f, 0.769531f, 0.892090f, 0.895020f, 0.892578f, 0.889648f, 0.887207f, 0.884277f, + 0.002344f, 0.006565f, 0.011322f, 0.015686f, 0.020630f, 0.025574f, 0.030807f, 0.035980f, + 0.042084f, 0.048279f, 0.054352f, 0.061432f, 0.068848f, 0.076172f, 0.083618f, 0.092590f, + 0.101135f, 0.109619f, 0.120178f, 0.130249f, 0.140991f, 0.151978f, 0.163696f, 0.175781f, + 0.188721f, 0.202026f, 0.215820f, 0.230103f, 0.244873f, 0.259766f, 0.275635f, 0.291504f, + 0.307617f, 0.324219f, 0.342041f, 0.358887f, 0.376709f, 0.394775f, 0.412354f, 0.431152f, + 0.448975f, 0.468018f, 0.486328f, 0.504883f, 0.523438f, 0.541992f, 0.560547f, 0.579102f, + 0.597656f, 0.615234f, 0.633789f, 0.651855f, 0.669434f, 0.687500f, 0.704590f, 0.721680f, + 0.738770f, 0.755859f, 0.886719f, 0.889648f, 0.887695f, 0.884766f, 0.882812f, 0.879883f, + 0.002003f, 0.006268f, 0.009987f, 0.014198f, 0.018875f, 0.023605f, 0.028259f, 0.033203f, + 0.038513f, 0.044495f, 0.049866f, 0.056152f, 0.062500f, 0.069458f, 0.076660f, 0.084473f, + 0.092163f, 0.100586f, 0.109741f, 0.119324f, 0.128662f, 0.139526f, 0.150146f, 0.161499f, + 0.173706f, 0.185791f, 0.199341f, 0.212891f, 0.227051f, 0.241455f, 0.256592f, 0.271729f, + 0.288330f, 0.304199f, 0.321045f, 0.337891f, 0.355469f, 0.373291f, 0.391113f, 0.408936f, + 0.426758f, 0.446289f, 0.464600f, 0.483643f, 0.500977f, 0.520996f, 0.539551f, 0.558594f, + 0.577148f, 0.595703f, 0.614746f, 0.632324f, 0.650879f, 0.669434f, 0.687012f, 0.704590f, + 0.722656f, 0.740234f, 0.880371f, 0.883301f, 0.881836f, 0.879883f, 0.877441f, 0.875000f, + 0.001739f, 0.005779f, 0.009598f, 0.013245f, 0.017334f, 0.021637f, 0.025955f, 0.030121f, + 0.035217f, 0.040131f, 0.045990f, 0.051453f, 0.056915f, 0.063354f, 0.070007f, 0.076965f, + 0.084351f, 0.091980f, 0.100281f, 0.108826f, 0.117981f, 0.127441f, 0.137939f, 0.148315f, + 0.160034f, 0.171753f, 0.183594f, 0.196167f, 0.209961f, 0.223511f, 0.238037f, 0.252930f, + 0.268066f, 0.284180f, 0.300537f, 0.317139f, 0.333740f, 0.351074f, 0.368896f, 0.386719f, + 0.405273f, 0.423584f, 0.442871f, 0.460938f, 0.479736f, 0.499512f, 0.517578f, 0.537109f, + 0.555664f, 0.575195f, 0.594238f, 0.613770f, 0.632324f, 0.650879f, 0.669922f, 0.687988f, + 0.706055f, 0.724121f, 0.873047f, 0.876953f, 0.875488f, 0.874023f, 0.872559f, 0.869141f, + 0.001648f, 0.005039f, 0.008675f, 0.012161f, 0.015823f, 0.019760f, 0.023865f, 0.028015f, + 0.032318f, 0.036865f, 0.041504f, 0.046906f, 0.051758f, 0.057922f, 0.064087f, 0.070435f, + 0.077209f, 0.084290f, 0.091736f, 0.099243f, 0.108215f, 0.117004f, 0.126343f, 0.135620f, + 0.146484f, 0.157349f, 0.168823f, 0.180908f, 0.193848f, 0.206909f, 0.220459f, 0.234619f, + 0.249634f, 0.264404f, 0.280273f, 0.296631f, 0.313232f, 0.329834f, 0.347412f, 0.365479f, + 0.383545f, 0.401855f, 0.420166f, 0.438721f, 0.458252f, 0.477783f, 0.496826f, 0.516602f, + 0.535156f, 0.554199f, 0.574219f, 0.593750f, 0.612305f, 0.631836f, 0.651367f, 0.670410f, + 0.689453f, 0.708984f, 0.865234f, 0.872070f, 0.870605f, 0.868652f, 0.866699f, 0.863770f, + 0.001492f, 0.004704f, 0.007973f, 0.011124f, 0.014603f, 0.017792f, 0.021652f, 0.025314f, + 0.029526f, 0.033722f, 0.038147f, 0.042694f, 0.047668f, 0.052673f, 0.057983f, 0.064209f, + 0.070068f, 0.076233f, 0.083313f, 0.090942f, 0.098572f, 0.106750f, 0.115295f, 0.124512f, + 0.134277f, 0.144287f, 0.154663f, 0.166504f, 0.178345f, 0.190063f, 0.203247f, 0.217041f, + 0.231079f, 0.245850f, 0.260986f, 0.276611f, 0.293213f, 0.309570f, 0.326172f, 0.343994f, + 0.361816f, 0.379395f, 0.397949f, 0.417480f, 0.436523f, 0.455322f, 0.474854f, 0.493896f, + 0.514160f, 0.533691f, 0.553711f, 0.573730f, 0.593262f, 0.612793f, 0.632812f, 0.651855f, + 0.672363f, 0.690918f, 0.857910f, 0.865723f, 0.864746f, 0.863281f, 0.860352f, 0.858887f, + 0.001657f, 0.004684f, 0.007290f, 0.010201f, 0.013657f, 0.016541f, 0.019989f, 0.023636f, + 0.026932f, 0.030548f, 0.034576f, 0.039154f, 0.043793f, 0.048126f, 0.053162f, 0.058319f, + 0.063721f, 0.069885f, 0.076355f, 0.082947f, 0.089844f, 0.097046f, 0.105286f, 0.113281f, + 0.122559f, 0.131348f, 0.141357f, 0.152100f, 0.163330f, 0.175415f, 0.187256f, 0.199951f, + 0.213501f, 0.227051f, 0.241943f, 0.257324f, 0.273193f, 0.288818f, 0.305420f, 0.322754f, + 0.340576f, 0.358643f, 0.375732f, 0.394775f, 0.414307f, 0.433105f, 0.453613f, 0.472168f, + 0.492188f, 0.512695f, 0.532715f, 0.552246f, 0.573242f, 0.593262f, 0.613770f, 0.632812f, + 0.654785f, 0.673828f, 0.851074f, 0.859375f, 0.858398f, 0.856934f, 0.855469f, 0.853027f, + 0.001457f, 0.003944f, 0.006870f, 0.009392f, 0.012543f, 0.015190f, 0.018417f, 0.021576f, + 0.024811f, 0.028122f, 0.031708f, 0.035278f, 0.039398f, 0.043793f, 0.048218f, 0.052887f, + 0.058044f, 0.063477f, 0.069397f, 0.075256f, 0.081360f, 0.088318f, 0.095398f, 0.103210f, + 0.111084f, 0.120361f, 0.129150f, 0.139038f, 0.149292f, 0.160645f, 0.172241f, 0.183716f, + 0.196533f, 0.209595f, 0.224121f, 0.238647f, 0.253174f, 0.268799f, 0.286133f, 0.302490f, + 0.319092f, 0.337158f, 0.355225f, 0.373535f, 0.392090f, 0.411133f, 0.430908f, 0.450928f, + 0.470947f, 0.490967f, 0.511719f, 0.531250f, 0.551758f, 0.573730f, 0.594238f, 0.614746f, + 0.636230f, 0.656738f, 0.842773f, 0.852051f, 0.851562f, 0.851074f, 0.848633f, 0.846680f, + 0.001404f, 0.003891f, 0.006233f, 0.008751f, 0.011353f, 0.014175f, 0.017075f, 0.019592f, + 0.022842f, 0.025772f, 0.028839f, 0.032410f, 0.036011f, 0.039764f, 0.043671f, 0.048126f, + 0.052704f, 0.057373f, 0.062561f, 0.067688f, 0.074158f, 0.080200f, 0.086853f, 0.093445f, + 0.101379f, 0.109192f, 0.117432f, 0.126709f, 0.136353f, 0.146484f, 0.157227f, 0.168823f, + 0.180542f, 0.193115f, 0.206299f, 0.219727f, 0.234375f, 0.249756f, 0.265869f, 0.281738f, + 0.298096f, 0.315674f, 0.333252f, 0.352051f, 0.370850f, 0.389160f, 0.409180f, 0.428955f, + 0.448730f, 0.469971f, 0.489502f, 0.510742f, 0.531738f, 0.552246f, 0.574707f, 0.595215f, + 0.617676f, 0.639160f, 0.835449f, 0.845215f, 0.845215f, 0.844238f, 0.843262f, 0.840332f, + 0.001275f, 0.003536f, 0.005600f, 0.007881f, 0.010628f, 0.012878f, 0.015610f, 0.018097f, + 0.020996f, 0.023376f, 0.026443f, 0.029556f, 0.032867f, 0.036163f, 0.039581f, 0.043915f, + 0.047943f, 0.052216f, 0.056763f, 0.061981f, 0.067322f, 0.072449f, 0.078796f, 0.084717f, + 0.091919f, 0.098999f, 0.106995f, 0.115417f, 0.124084f, 0.133667f, 0.143433f, 0.154297f, + 0.165161f, 0.177124f, 0.189697f, 0.202759f, 0.216309f, 0.230713f, 0.245728f, 0.261719f, + 0.278320f, 0.295410f, 0.312256f, 0.330566f, 0.349365f, 0.367676f, 0.386719f, 0.406494f, + 0.427246f, 0.447266f, 0.468506f, 0.489746f, 0.510742f, 0.532227f, 0.553711f, 0.575684f, + 0.597656f, 0.619141f, 0.826172f, 0.837402f, 0.837891f, 0.837402f, 0.835449f, 0.833984f, + 0.001134f, 0.003105f, 0.005337f, 0.007462f, 0.009628f, 0.011833f, 0.014137f, 0.016113f, + 0.018875f, 0.021484f, 0.024063f, 0.026581f, 0.029709f, 0.032623f, 0.036194f, 0.039703f, + 0.043335f, 0.047058f, 0.051422f, 0.055908f, 0.060608f, 0.065491f, 0.071167f, 0.076843f, + 0.083313f, 0.089661f, 0.097168f, 0.104492f, 0.112122f, 0.121155f, 0.130615f, 0.140137f, + 0.150757f, 0.161499f, 0.173462f, 0.185547f, 0.199341f, 0.212524f, 0.227051f, 0.242310f, + 0.258057f, 0.274414f, 0.291016f, 0.309082f, 0.327148f, 0.345459f, 0.364990f, 0.384521f, + 0.404297f, 0.425781f, 0.445801f, 0.467285f, 0.489258f, 0.510254f, 0.533203f, 0.555664f, + 0.578125f, 0.601074f, 0.817871f, 0.830078f, 0.831055f, 0.830078f, 0.829102f, 0.828125f, + 0.001101f, 0.003019f, 0.004818f, 0.006725f, 0.008781f, 0.010864f, 0.013069f, 0.014801f, + 0.017151f, 0.019531f, 0.021973f, 0.024429f, 0.026917f, 0.030121f, 0.033112f, 0.036041f, + 0.039337f, 0.042542f, 0.046509f, 0.050537f, 0.054596f, 0.058990f, 0.064209f, 0.069519f, + 0.075134f, 0.080994f, 0.087158f, 0.094177f, 0.102051f, 0.109741f, 0.117981f, 0.127319f, + 0.136963f, 0.147095f, 0.158081f, 0.169434f, 0.182251f, 0.195557f, 0.208984f, 0.223267f, + 0.238281f, 0.254639f, 0.270996f, 0.288330f, 0.305908f, 0.324219f, 0.343018f, 0.362549f, + 0.382324f, 0.402832f, 0.424805f, 0.445312f, 0.467529f, 0.489258f, 0.511230f, 0.535645f, + 0.558594f, 0.582031f, 0.809082f, 0.822266f, 0.824219f, 0.823242f, 0.821777f, 0.820801f, + 0.000987f, 0.002644f, 0.004562f, 0.006344f, 0.008133f, 0.009918f, 0.011696f, 0.013527f, + 0.015572f, 0.017746f, 0.019714f, 0.021942f, 0.024155f, 0.027069f, 0.029678f, 0.032288f, + 0.035156f, 0.038574f, 0.041779f, 0.045319f, 0.049225f, 0.053284f, 0.057678f, 0.062225f, + 0.067505f, 0.072571f, 0.078613f, 0.084961f, 0.092041f, 0.098938f, 0.106506f, 0.115112f, + 0.123779f, 0.133667f, 0.143311f, 0.154541f, 0.165894f, 0.178345f, 0.191406f, 0.205200f, + 0.219238f, 0.234985f, 0.250977f, 0.267578f, 0.284912f, 0.302734f, 0.321289f, 0.340332f, + 0.360352f, 0.380615f, 0.401611f, 0.423340f, 0.445312f, 0.467529f, 0.490967f, 0.514160f, + 0.537598f, 0.561035f, 0.800293f, 0.814453f, 0.815918f, 0.815918f, 0.814941f, 0.813965f, + 0.000932f, 0.002567f, 0.004009f, 0.005722f, 0.007538f, 0.008812f, 0.010864f, 0.012413f, + 0.014290f, 0.015991f, 0.018051f, 0.019836f, 0.022247f, 0.024506f, 0.026520f, 0.029175f, + 0.031769f, 0.034332f, 0.037689f, 0.040466f, 0.043945f, 0.047607f, 0.051605f, 0.055817f, + 0.060486f, 0.065125f, 0.070557f, 0.076111f, 0.081909f, 0.088806f, 0.095886f, 0.103210f, + 0.111755f, 0.120422f, 0.130249f, 0.140137f, 0.150513f, 0.162109f, 0.174561f, 0.187256f, + 0.200928f, 0.215698f, 0.231323f, 0.246582f, 0.264160f, 0.281982f, 0.299561f, 0.319092f, + 0.338623f, 0.358643f, 0.379883f, 0.400879f, 0.423096f, 0.445557f, 0.468750f, 0.492188f, + 0.516113f, 0.541504f, 0.791016f, 0.805664f, 0.808105f, 0.808594f, 0.807129f, 0.806641f, + 0.000871f, 0.002337f, 0.003727f, 0.005474f, 0.006641f, 0.008377f, 0.009567f, 0.011154f, + 0.012848f, 0.014610f, 0.016235f, 0.017960f, 0.019958f, 0.021729f, 0.023926f, 0.026154f, + 0.028351f, 0.030975f, 0.033722f, 0.036407f, 0.039459f, 0.042694f, 0.046082f, 0.049896f, + 0.053833f, 0.058167f, 0.062744f, 0.067932f, 0.073608f, 0.079468f, 0.085632f, 0.092651f, + 0.100098f, 0.108521f, 0.116699f, 0.126099f, 0.136108f, 0.146606f, 0.157959f, 0.170410f, + 0.183594f, 0.197510f, 0.212280f, 0.227295f, 0.243652f, 0.260986f, 0.278564f, 0.297607f, + 0.316406f, 0.336426f, 0.357178f, 0.378662f, 0.400146f, 0.422852f, 0.446045f, 0.470215f, + 0.494873f, 0.520020f, 0.781250f, 0.796875f, 0.800293f, 0.800781f, 0.799805f, 0.799316f, + 0.000782f, 0.002131f, 0.003649f, 0.004715f, 0.006054f, 0.007458f, 0.008759f, 0.010269f, + 0.011711f, 0.012970f, 0.014664f, 0.016327f, 0.017914f, 0.019699f, 0.021423f, 0.023499f, + 0.025391f, 0.027374f, 0.029999f, 0.032501f, 0.035156f, 0.037872f, 0.040710f, 0.044403f, + 0.047791f, 0.051880f, 0.055969f, 0.060364f, 0.065247f, 0.070496f, 0.076172f, 0.082825f, + 0.089294f, 0.096497f, 0.104431f, 0.112854f, 0.122375f, 0.132202f, 0.142700f, 0.153931f, + 0.166260f, 0.179565f, 0.193481f, 0.208008f, 0.223877f, 0.240479f, 0.257568f, 0.275879f, + 0.294922f, 0.314453f, 0.334961f, 0.355957f, 0.377686f, 0.400391f, 0.423828f, 0.448730f, + 0.472900f, 0.498535f, 0.771484f, 0.789062f, 0.791504f, 0.792480f, 0.791016f, 0.791016f, + 0.000742f, 0.001822f, 0.003183f, 0.004444f, 0.005600f, 0.006550f, 0.008087f, 0.009247f, + 0.010559f, 0.011650f, 0.013184f, 0.014565f, 0.016083f, 0.017548f, 0.019119f, 0.020737f, + 0.022644f, 0.024597f, 0.026627f, 0.028809f, 0.031281f, 0.033539f, 0.036469f, 0.039429f, + 0.042480f, 0.045654f, 0.049561f, 0.053406f, 0.057739f, 0.062469f, 0.067749f, 0.073364f, + 0.079773f, 0.086121f, 0.093262f, 0.100647f, 0.109253f, 0.118042f, 0.128174f, 0.138550f, + 0.150024f, 0.162231f, 0.175171f, 0.189087f, 0.204468f, 0.220215f, 0.236938f, 0.254639f, + 0.273438f, 0.292236f, 0.312012f, 0.333252f, 0.355957f, 0.377686f, 0.401367f, 0.425781f, + 0.451416f, 0.476318f, 0.761230f, 0.779785f, 0.782227f, 0.782715f, 0.782715f, 0.782715f, + 0.000632f, 0.001970f, 0.003042f, 0.004025f, 0.005173f, 0.006435f, 0.007343f, 0.008522f, + 0.009369f, 0.010475f, 0.011726f, 0.012962f, 0.014145f, 0.015411f, 0.016922f, 0.018478f, + 0.020111f, 0.021835f, 0.023682f, 0.025253f, 0.027466f, 0.029678f, 0.032196f, 0.034607f, + 0.037415f, 0.040497f, 0.043610f, 0.047089f, 0.051178f, 0.055573f, 0.059845f, 0.064758f, + 0.070068f, 0.076111f, 0.082275f, 0.089417f, 0.096863f, 0.105286f, 0.114441f, 0.123535f, + 0.134399f, 0.145508f, 0.157959f, 0.171387f, 0.185425f, 0.200806f, 0.216919f, 0.233521f, + 0.251953f, 0.270508f, 0.290527f, 0.310791f, 0.332275f, 0.355469f, 0.378418f, 0.403564f, + 0.428223f, 0.455322f, 0.750977f, 0.770996f, 0.774414f, 0.774414f, 0.774902f, 0.773926f, + 0.000517f, 0.001554f, 0.002741f, 0.003695f, 0.004669f, 0.005417f, 0.006466f, 0.007545f, + 0.008453f, 0.009499f, 0.010468f, 0.011490f, 0.012718f, 0.013985f, 0.014977f, 0.016235f, + 0.017868f, 0.019211f, 0.020630f, 0.022263f, 0.024078f, 0.026291f, 0.028275f, 0.030380f, + 0.032928f, 0.035675f, 0.038513f, 0.041656f, 0.044769f, 0.048523f, 0.052216f, 0.057007f, + 0.061493f, 0.066711f, 0.072510f, 0.078735f, 0.085327f, 0.093201f, 0.101135f, 0.109619f, + 0.119690f, 0.130371f, 0.141602f, 0.154053f, 0.167480f, 0.181396f, 0.197021f, 0.213623f, + 0.230835f, 0.248901f, 0.268066f, 0.289062f, 0.310303f, 0.332520f, 0.355225f, 0.379639f, + 0.405273f, 0.432373f, 0.740234f, 0.760742f, 0.763672f, 0.765625f, 0.765625f, 0.765625f, + 0.000588f, 0.001405f, 0.002306f, 0.003370f, 0.004375f, 0.005116f, 0.005817f, 0.006630f, + 0.007797f, 0.008507f, 0.009216f, 0.010254f, 0.011246f, 0.012154f, 0.013191f, 0.014366f, + 0.015503f, 0.016785f, 0.018127f, 0.019562f, 0.021072f, 0.022919f, 0.024643f, 0.026749f, + 0.028564f, 0.031006f, 0.033203f, 0.036072f, 0.039032f, 0.042114f, 0.045654f, 0.049561f, + 0.053650f, 0.058380f, 0.063049f, 0.068848f, 0.075256f, 0.081543f, 0.088562f, 0.096924f, + 0.105652f, 0.115173f, 0.125977f, 0.137207f, 0.149902f, 0.163208f, 0.177979f, 0.193726f, + 0.210205f, 0.228027f, 0.247070f, 0.266602f, 0.287842f, 0.309326f, 0.333008f, 0.356934f, + 0.382568f, 0.408691f, 0.729004f, 0.751953f, 0.755371f, 0.756348f, 0.757324f, 0.756348f, + 0.000431f, 0.001562f, 0.002253f, 0.003088f, 0.003944f, 0.004536f, 0.005066f, 0.006020f, + 0.006840f, 0.007542f, 0.008347f, 0.008949f, 0.009827f, 0.010719f, 0.011696f, 0.012756f, + 0.013649f, 0.014679f, 0.015808f, 0.017288f, 0.018356f, 0.019913f, 0.021332f, 0.023148f, + 0.024719f, 0.026840f, 0.029007f, 0.031250f, 0.033661f, 0.036469f, 0.039490f, 0.042969f, + 0.046326f, 0.050293f, 0.054901f, 0.059845f, 0.064941f, 0.071289f, 0.077454f, 0.084656f, + 0.092529f, 0.101562f, 0.111145f, 0.121460f, 0.132935f, 0.145386f, 0.159302f, 0.174438f, + 0.190186f, 0.206909f, 0.225098f, 0.244751f, 0.265381f, 0.287109f, 0.310059f, 0.333984f, + 0.359131f, 0.386230f, 0.716797f, 0.740723f, 0.744629f, 0.746582f, 0.747070f, 0.747070f, + 0.000576f, 0.001266f, 0.002028f, 0.002766f, 0.003317f, 0.004051f, 0.004742f, 0.005459f, + 0.006054f, 0.006641f, 0.007240f, 0.007919f, 0.008644f, 0.009300f, 0.010170f, 0.010925f, + 0.011795f, 0.012733f, 0.013855f, 0.014885f, 0.015900f, 0.017212f, 0.018326f, 0.019684f, + 0.021469f, 0.023178f, 0.024734f, 0.026794f, 0.028946f, 0.031204f, 0.033844f, 0.036682f, + 0.039948f, 0.043335f, 0.047150f, 0.051422f, 0.055969f, 0.061066f, 0.067139f, 0.073242f, + 0.080444f, 0.088440f, 0.096985f, 0.106445f, 0.116943f, 0.128906f, 0.141479f, 0.154907f, + 0.170410f, 0.186523f, 0.204102f, 0.222900f, 0.243774f, 0.264160f, 0.286865f, 0.310791f, + 0.336182f, 0.362793f, 0.705078f, 0.730469f, 0.735352f, 0.736816f, 0.737793f, 0.736816f, + 0.000307f, 0.001126f, 0.001758f, 0.002436f, 0.002911f, 0.003540f, 0.004047f, 0.004711f, + 0.005245f, 0.005749f, 0.006302f, 0.006844f, 0.007355f, 0.008095f, 0.008835f, 0.009438f, + 0.010139f, 0.010941f, 0.011963f, 0.012878f, 0.013519f, 0.014847f, 0.015945f, 0.017029f, + 0.018250f, 0.019669f, 0.021362f, 0.022675f, 0.024750f, 0.026657f, 0.028854f, 0.031219f, + 0.033844f, 0.036804f, 0.040222f, 0.043793f, 0.047791f, 0.052185f, 0.057251f, 0.062866f, + 0.069275f, 0.075867f, 0.083923f, 0.092407f, 0.102295f, 0.112366f, 0.124207f, 0.137085f, + 0.151489f, 0.167114f, 0.183838f, 0.202148f, 0.221558f, 0.242065f, 0.263916f, 0.287842f, + 0.312256f, 0.339111f, 0.693848f, 0.719727f, 0.724609f, 0.726074f, 0.727539f, 0.727051f, + 0.000428f, 0.000939f, 0.001581f, 0.002033f, 0.002665f, 0.003222f, 0.003660f, 0.004059f, + 0.004475f, 0.004997f, 0.005554f, 0.006031f, 0.006371f, 0.007080f, 0.007511f, 0.008263f, + 0.008820f, 0.009552f, 0.010124f, 0.010948f, 0.011665f, 0.012550f, 0.013397f, 0.014526f, + 0.015388f, 0.016754f, 0.017960f, 0.019257f, 0.020844f, 0.022583f, 0.024246f, 0.026642f, + 0.028656f, 0.031128f, 0.033783f, 0.036865f, 0.040253f, 0.044312f, 0.048523f, 0.053314f, + 0.058655f, 0.064880f, 0.071594f, 0.079102f, 0.087891f, 0.097107f, 0.108276f, 0.119751f, + 0.133179f, 0.148071f, 0.163818f, 0.180908f, 0.199951f, 0.219849f, 0.241699f, 0.264160f, + 0.288818f, 0.315918f, 0.680176f, 0.708496f, 0.713867f, 0.716309f, 0.716797f, 0.717285f, + 0.000467f, 0.001054f, 0.001476f, 0.001825f, 0.002386f, 0.002644f, 0.003218f, 0.003553f, + 0.003866f, 0.004433f, 0.004700f, 0.004948f, 0.005505f, 0.006023f, 0.006405f, 0.006920f, + 0.007484f, 0.008057f, 0.008598f, 0.009178f, 0.009857f, 0.010551f, 0.011169f, 0.012199f, + 0.013092f, 0.014084f, 0.015091f, 0.016205f, 0.017303f, 0.018845f, 0.020538f, 0.021957f, + 0.023773f, 0.025833f, 0.028152f, 0.030716f, 0.033661f, 0.036896f, 0.040405f, 0.044708f, + 0.049286f, 0.054321f, 0.060333f, 0.067322f, 0.074890f, 0.083435f, 0.092651f, 0.103516f, + 0.115784f, 0.129028f, 0.144287f, 0.160278f, 0.178345f, 0.197632f, 0.218994f, 0.241089f, + 0.265869f, 0.292725f, 0.667969f, 0.697266f, 0.702637f, 0.704590f, 0.706055f, 0.707031f, + 0.000348f, 0.000841f, 0.001292f, 0.001580f, 0.001961f, 0.002508f, 0.002630f, 0.002993f, + 0.003458f, 0.003738f, 0.003952f, 0.004425f, 0.004639f, 0.005070f, 0.005547f, 0.005840f, + 0.006462f, 0.006844f, 0.007214f, 0.007698f, 0.008339f, 0.008980f, 0.009560f, 0.010094f, + 0.010941f, 0.011711f, 0.012550f, 0.013565f, 0.014404f, 0.015579f, 0.016754f, 0.018082f, + 0.019592f, 0.021439f, 0.023209f, 0.025375f, 0.027863f, 0.030411f, 0.033478f, 0.037018f, + 0.040680f, 0.045105f, 0.050476f, 0.056183f, 0.062805f, 0.070251f, 0.078613f, 0.088196f, + 0.099060f, 0.111450f, 0.125122f, 0.140869f, 0.158203f, 0.176880f, 0.197266f, 0.218506f, + 0.242798f, 0.268555f, 0.655273f, 0.686035f, 0.691406f, 0.694336f, 0.695312f, 0.695801f, + 0.000170f, 0.000976f, 0.001161f, 0.001441f, 0.001846f, 0.002144f, 0.002367f, 0.002632f, + 0.002892f, 0.003178f, 0.003435f, 0.003618f, 0.004021f, 0.004292f, 0.004562f, 0.005028f, + 0.005405f, 0.005623f, 0.006069f, 0.006577f, 0.006973f, 0.007431f, 0.007904f, 0.008484f, + 0.009018f, 0.009659f, 0.010559f, 0.010994f, 0.012009f, 0.012840f, 0.013901f, 0.014915f, + 0.016129f, 0.017502f, 0.019089f, 0.020676f, 0.022568f, 0.024673f, 0.027252f, 0.029984f, + 0.033234f, 0.037079f, 0.041016f, 0.045868f, 0.051758f, 0.058014f, 0.065613f, 0.073853f, + 0.083801f, 0.094727f, 0.107483f, 0.121826f, 0.137573f, 0.156006f, 0.175049f, 0.196167f, + 0.219482f, 0.245850f, 0.641113f, 0.673340f, 0.679688f, 0.681641f, 0.683594f, 0.684082f, + 0.000293f, 0.000601f, 0.001049f, 0.001358f, 0.001532f, 0.001719f, 0.001882f, 0.002298f, + 0.002317f, 0.002628f, 0.002750f, 0.003143f, 0.003363f, 0.003559f, 0.003866f, 0.004204f, + 0.004383f, 0.004753f, 0.005028f, 0.005348f, 0.005863f, 0.006176f, 0.006569f, 0.006954f, + 0.007401f, 0.008057f, 0.008537f, 0.009178f, 0.009735f, 0.010521f, 0.011208f, 0.011978f, + 0.013130f, 0.014099f, 0.015289f, 0.016739f, 0.018219f, 0.019821f, 0.021713f, 0.024200f, + 0.026749f, 0.029785f, 0.033386f, 0.036987f, 0.041840f, 0.047089f, 0.053253f, 0.060760f, + 0.069214f, 0.079224f, 0.090515f, 0.103638f, 0.118652f, 0.135376f, 0.154175f, 0.174561f, + 0.196777f, 0.222534f, 0.628906f, 0.660645f, 0.668457f, 0.670410f, 0.672852f, 0.673340f, + 0.000258f, 0.000656f, 0.000811f, 0.001049f, 0.001288f, 0.001462f, 0.001599f, 0.001740f, + 0.002012f, 0.002171f, 0.002367f, 0.002535f, 0.002705f, 0.002880f, 0.003115f, 0.003429f, + 0.003666f, 0.003897f, 0.004116f, 0.004398f, 0.004635f, 0.005066f, 0.005341f, 0.005779f, + 0.006042f, 0.006454f, 0.006954f, 0.007450f, 0.007835f, 0.008400f, 0.009132f, 0.009819f, + 0.010536f, 0.011307f, 0.012245f, 0.013229f, 0.014580f, 0.015900f, 0.017303f, 0.019119f, + 0.021103f, 0.023468f, 0.026123f, 0.029495f, 0.033112f, 0.037628f, 0.042938f, 0.048859f, + 0.056152f, 0.064941f, 0.074829f, 0.086548f, 0.100281f, 0.115967f, 0.133545f, 0.153198f, + 0.175171f, 0.199341f, 0.613770f, 0.648926f, 0.655273f, 0.658691f, 0.660645f, 0.662598f, + 0.000176f, 0.000474f, 0.000602f, 0.000854f, 0.001030f, 0.001240f, 0.001349f, 0.001505f, + 0.001580f, 0.001738f, 0.001957f, 0.002068f, 0.002230f, 0.002420f, 0.002556f, 0.002705f, + 0.002998f, 0.003178f, 0.003345f, 0.003567f, 0.003811f, 0.004105f, 0.004284f, 0.004593f, + 0.004848f, 0.005173f, 0.005527f, 0.005939f, 0.006306f, 0.006817f, 0.007366f, 0.007729f, + 0.008339f, 0.008995f, 0.009644f, 0.010551f, 0.011360f, 0.012344f, 0.013710f, 0.015030f, + 0.016510f, 0.018143f, 0.020279f, 0.022751f, 0.025650f, 0.029144f, 0.033508f, 0.038452f, + 0.044556f, 0.052032f, 0.060364f, 0.070923f, 0.082642f, 0.097290f, 0.113525f, 0.132446f, + 0.153442f, 0.176880f, 0.600586f, 0.636719f, 0.644531f, 0.647461f, 0.648926f, 0.649414f, + 0.000121f, 0.000426f, 0.000509f, 0.000778f, 0.000931f, 0.000992f, 0.001135f, 0.001303f, + 0.001359f, 0.001410f, 0.001519f, 0.001722f, 0.001751f, 0.001951f, 0.002060f, 0.002218f, + 0.002287f, 0.002487f, 0.002670f, 0.002848f, 0.003061f, 0.003233f, 0.003452f, 0.003664f, + 0.003883f, 0.004078f, 0.004379f, 0.004692f, 0.004982f, 0.005329f, 0.005756f, 0.006081f, + 0.006504f, 0.007019f, 0.007599f, 0.008217f, 0.008850f, 0.009628f, 0.010437f, 0.011597f, + 0.012650f, 0.013931f, 0.015480f, 0.017380f, 0.019577f, 0.022247f, 0.025513f, 0.029617f, + 0.034363f, 0.040314f, 0.047241f, 0.056274f, 0.066711f, 0.079773f, 0.094482f, 0.112488f, + 0.132446f, 0.154907f, 0.585449f, 0.624023f, 0.630371f, 0.634277f, 0.636230f, 0.637207f, + 0.000161f, 0.000263f, 0.000526f, 0.000627f, 0.000723f, 0.000775f, 0.000856f, 0.000960f, + 0.001079f, 0.001158f, 0.001208f, 0.001272f, 0.001441f, 0.001557f, 0.001657f, 0.001702f, + 0.001897f, 0.001918f, 0.002151f, 0.002232f, 0.002337f, 0.002522f, 0.002720f, 0.002865f, + 0.003029f, 0.003193f, 0.003387f, 0.003601f, 0.003887f, 0.004124f, 0.004356f, 0.004639f, + 0.005070f, 0.005466f, 0.005863f, 0.006298f, 0.006874f, 0.007290f, 0.007965f, 0.008774f, + 0.009560f, 0.010666f, 0.011719f, 0.013077f, 0.014679f, 0.016693f, 0.019058f, 0.021881f, + 0.025528f, 0.030121f, 0.036011f, 0.043396f, 0.052460f, 0.063477f, 0.076721f, 0.093079f, + 0.112305f, 0.133667f, 0.572266f, 0.609375f, 0.618164f, 0.622070f, 0.623535f, 0.625488f, + 0.000109f, 0.000212f, 0.000404f, 0.000578f, 0.000567f, 0.000655f, 0.000763f, 0.000676f, + 0.000824f, 0.000869f, 0.000971f, 0.001064f, 0.001132f, 0.001210f, 0.001212f, 0.001398f, + 0.001486f, 0.001525f, 0.001653f, 0.001676f, 0.001867f, 0.001953f, 0.002062f, 0.002199f, + 0.002295f, 0.002443f, 0.002586f, 0.002766f, 0.002979f, 0.003128f, 0.003429f, 0.003551f, + 0.003763f, 0.004074f, 0.004349f, 0.004688f, 0.005032f, 0.005470f, 0.005894f, 0.006519f, + 0.007092f, 0.007896f, 0.008629f, 0.009659f, 0.010910f, 0.012215f, 0.013962f, 0.015991f, + 0.018646f, 0.021881f, 0.026428f, 0.032074f, 0.039276f, 0.048645f, 0.060455f, 0.075256f, + 0.092773f, 0.113220f, 0.554688f, 0.596191f, 0.605957f, 0.608887f, 0.610352f, 0.612305f, + 0.000202f, 0.000186f, 0.000312f, 0.000433f, 0.000382f, 0.000543f, 0.000482f, 0.000546f, + 0.000621f, 0.000666f, 0.000789f, 0.000802f, 0.000859f, 0.000950f, 0.000970f, 0.000975f, + 0.001113f, 0.001162f, 0.001207f, 0.001312f, 0.001362f, 0.001433f, 0.001541f, 0.001618f, + 0.001720f, 0.001791f, 0.001966f, 0.002035f, 0.002199f, 0.002413f, 0.002546f, 0.002626f, + 0.002855f, 0.003063f, 0.003204f, 0.003448f, 0.003693f, 0.003986f, 0.004364f, 0.004684f, + 0.005127f, 0.005619f, 0.006271f, 0.006870f, 0.007748f, 0.008713f, 0.009911f, 0.011368f, + 0.013191f, 0.015518f, 0.018646f, 0.022644f, 0.028107f, 0.035645f, 0.045471f, 0.058502f, + 0.074646f, 0.093994f, 0.541016f, 0.583008f, 0.591797f, 0.596191f, 0.599121f, 0.600098f, + 0.000000f, 0.000179f, 0.000242f, 0.000318f, 0.000341f, 0.000345f, 0.000432f, 0.000364f, + 0.000475f, 0.000483f, 0.000572f, 0.000576f, 0.000619f, 0.000640f, 0.000716f, 0.000737f, + 0.000791f, 0.000845f, 0.000871f, 0.000907f, 0.000998f, 0.001025f, 0.001107f, 0.001181f, + 0.001244f, 0.001303f, 0.001391f, 0.001462f, 0.001549f, 0.001631f, 0.001756f, 0.001906f, + 0.001984f, 0.002161f, 0.002264f, 0.002419f, 0.002613f, 0.002825f, 0.003103f, 0.003321f, + 0.003584f, 0.003893f, 0.004349f, 0.004799f, 0.005383f, 0.006020f, 0.006836f, 0.007858f, + 0.009117f, 0.010674f, 0.012825f, 0.015533f, 0.019363f, 0.024780f, 0.032593f, 0.043274f, + 0.057770f, 0.076111f, 0.525879f, 0.569336f, 0.578613f, 0.583008f, 0.585449f, 0.586426f, + 0.000000f, 0.000088f, 0.000192f, 0.000227f, 0.000230f, 0.000286f, 0.000255f, 0.000317f, + 0.000321f, 0.000371f, 0.000401f, 0.000373f, 0.000391f, 0.000457f, 0.000474f, 0.000530f, + 0.000509f, 0.000585f, 0.000625f, 0.000664f, 0.000707f, 0.000746f, 0.000772f, 0.000817f, + 0.000877f, 0.000887f, 0.000978f, 0.001007f, 0.001069f, 0.001202f, 0.001192f, 0.001290f, + 0.001356f, 0.001464f, 0.001583f, 0.001678f, 0.001771f, 0.001929f, 0.002050f, 0.002230f, + 0.002424f, 0.002651f, 0.002888f, 0.003176f, 0.003534f, 0.003967f, 0.004475f, 0.005154f, + 0.005993f, 0.007118f, 0.008469f, 0.010338f, 0.012794f, 0.016403f, 0.021957f, 0.030090f, + 0.042419f, 0.059052f, 0.510254f, 0.554199f, 0.564453f, 0.570312f, 0.572754f, 0.573242f, + 0.000000f, 0.000126f, 0.000180f, 0.000121f, 0.000178f, 0.000176f, 0.000177f, 0.000212f, + 0.000210f, 0.000228f, 0.000238f, 0.000291f, 0.000280f, 0.000298f, 0.000336f, 0.000350f, + 0.000369f, 0.000387f, 0.000395f, 0.000427f, 0.000460f, 0.000476f, 0.000515f, 0.000536f, + 0.000573f, 0.000619f, 0.000650f, 0.000670f, 0.000703f, 0.000746f, 0.000798f, 0.000836f, + 0.000902f, 0.000949f, 0.001031f, 0.001062f, 0.001162f, 0.001227f, 0.001349f, 0.001442f, + 0.001533f, 0.001690f, 0.001865f, 0.001995f, 0.002228f, 0.002495f, 0.002800f, 0.003191f, + 0.003653f, 0.004349f, 0.005203f, 0.006393f, 0.008026f, 0.010307f, 0.013710f, 0.019379f, + 0.028854f, 0.043457f, 0.494873f, 0.541016f, 0.550781f, 0.555664f, 0.558105f, 0.559570f, + 0.000000f, 0.000095f, 0.000086f, 0.000079f, 0.000105f, 0.000124f, 0.000111f, 0.000137f, + 0.000141f, 0.000142f, 0.000147f, 0.000151f, 0.000160f, 0.000181f, 0.000202f, 0.000207f, + 0.000214f, 0.000248f, 0.000244f, 0.000282f, 0.000273f, 0.000283f, 0.000306f, 0.000334f, + 0.000367f, 0.000378f, 0.000376f, 0.000399f, 0.000437f, 0.000459f, 0.000474f, 0.000516f, + 0.000552f, 0.000567f, 0.000616f, 0.000649f, 0.000693f, 0.000743f, 0.000805f, 0.000851f, + 0.000918f, 0.000999f, 0.001085f, 0.001195f, 0.001309f, 0.001466f, 0.001644f, 0.001850f, + 0.002151f, 0.002487f, 0.002974f, 0.003654f, 0.004574f, 0.006001f, 0.008156f, 0.011452f, + 0.017853f, 0.029739f, 0.478271f, 0.526367f, 0.537109f, 0.541504f, 0.544434f, 0.545898f, + 0.000106f, 0.000085f, 0.000074f, 0.000067f, 0.000066f, 0.000070f, 0.000069f, 0.000073f, + 0.000073f, 0.000080f, 0.000084f, 0.000109f, 0.000093f, 0.000098f, 0.000119f, 0.000108f, + 0.000128f, 0.000135f, 0.000137f, 0.000149f, 0.000150f, 0.000157f, 0.000182f, 0.000185f, + 0.000207f, 0.000206f, 0.000214f, 0.000234f, 0.000237f, 0.000253f, 0.000267f, 0.000289f, + 0.000306f, 0.000313f, 0.000344f, 0.000352f, 0.000384f, 0.000406f, 0.000445f, 0.000467f, + 0.000503f, 0.000543f, 0.000593f, 0.000634f, 0.000697f, 0.000764f, 0.000850f, 0.000963f, + 0.001105f, 0.001298f, 0.001536f, 0.001856f, 0.002333f, 0.003069f, 0.004299f, 0.006271f, + 0.009789f, 0.018234f, 0.462402f, 0.511719f, 0.522949f, 0.527344f, 0.530762f, 0.532715f, + 0.000091f, 0.000069f, 0.000060f, 0.000054f, 0.000049f, 0.000046f, 0.000043f, 0.000041f, + 0.000040f, 0.000044f, 0.000040f, 0.000040f, 0.000054f, 0.000044f, 0.000045f, 0.000044f, + 0.000062f, 0.000062f, 0.000069f, 0.000071f, 0.000074f, 0.000079f, 0.000081f, 0.000081f, + 0.000085f, 0.000099f, 0.000098f, 0.000115f, 0.000115f, 0.000119f, 0.000125f, 0.000130f, + 0.000140f, 0.000144f, 0.000165f, 0.000172f, 0.000178f, 0.000191f, 0.000205f, 0.000222f, + 0.000234f, 0.000251f, 0.000276f, 0.000293f, 0.000327f, 0.000354f, 0.000392f, 0.000437f, + 0.000494f, 0.000562f, 0.000662f, 0.000800f, 0.001005f, 0.001315f, 0.001852f, 0.002825f, + 0.004723f, 0.009285f, 0.446533f, 0.497803f, 0.508301f, 0.514160f, 0.516602f, 0.519043f, + 0.000067f, 0.000048f, 0.000040f, 0.000036f, 0.000033f, 0.000031f, 0.000030f, 0.000028f, + 0.000027f, 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000022f, 0.000021f, 0.000020f, + 0.000019f, 0.000020f, 0.000024f, 0.000026f, 0.000025f, 0.000027f, 0.000031f, 0.000032f, + 0.000032f, 0.000037f, 0.000041f, 0.000038f, 0.000045f, 0.000042f, 0.000048f, 0.000049f, + 0.000053f, 0.000055f, 0.000059f, 0.000062f, 0.000071f, 0.000074f, 0.000077f, 0.000081f, + 0.000086f, 0.000091f, 0.000098f, 0.000109f, 0.000116f, 0.000125f, 0.000137f, 0.000158f, + 0.000173f, 0.000193f, 0.000230f, 0.000273f, 0.000335f, 0.000425f, 0.000603f, 0.000935f, + 0.001694f, 0.003727f, 0.431396f, 0.481934f, 0.493652f, 0.499512f, 0.502930f, 0.504883f, + 0.000021f, 0.000016f, 0.000013f, 0.000012f, 0.000013f, 0.000012f, 0.000012f, 0.000012f, + 0.000012f, 0.000012f, 0.000011f, 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, + 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, + 0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000009f, 0.000009f, 0.000010f, + 0.000010f, 0.000013f, 0.000014f, 0.000013f, 0.000015f, 0.000016f, 0.000017f, 0.000019f, + 0.000019f, 0.000020f, 0.000023f, 0.000026f, 0.000027f, 0.000027f, 0.000032f, 0.000030f, + 0.000036f, 0.000039f, 0.000050f, 0.000056f, 0.000063f, 0.000082f, 0.000109f, 0.000168f, + 0.000317f, 0.000922f, 0.415283f, 0.467773f, 0.479980f, 0.486328f, 0.489014f, 0.490723f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000005f, + 0.000008f, 0.000026f, 0.398926f, 0.452881f, 0.465576f, 0.471436f, 0.474854f, 0.477051f, + }, + { + 0.019653f, 0.058990f, 0.097473f, 0.134277f, 0.169189f, 0.203491f, 0.236450f, 0.267578f, + 0.297852f, 0.326416f, 0.354004f, 0.380859f, 0.406250f, 0.431641f, 0.455078f, 0.477539f, + 0.500000f, 0.520996f, 0.541504f, 0.560547f, 0.580566f, 0.598633f, 0.615723f, 0.633301f, + 0.649902f, 0.666016f, 0.681641f, 0.695801f, 0.709961f, 0.724609f, 0.738770f, 0.751953f, + 0.765137f, 0.775879f, 0.788574f, 0.799805f, 0.812012f, 0.822754f, 0.833496f, 0.844238f, + 0.854004f, 0.864258f, 0.874023f, 0.883301f, 0.891602f, 0.900391f, 0.909668f, 0.917969f, + 0.925781f, 0.934570f, 0.941895f, 0.949707f, 0.956543f, 0.963379f, 0.970703f, 0.977539f, + 0.984863f, 0.991211f, 0.988770f, 0.972656f, 0.960449f, 0.949707f, 0.940430f, 0.931641f, + 0.017303f, 0.052399f, 0.086548f, 0.119446f, 0.153076f, 0.183594f, 0.214722f, 0.245117f, + 0.273193f, 0.301270f, 0.328613f, 0.354492f, 0.379883f, 0.404541f, 0.427979f, 0.450195f, + 0.472656f, 0.494629f, 0.515137f, 0.534668f, 0.554199f, 0.573242f, 0.591309f, 0.608887f, + 0.625977f, 0.642578f, 0.658203f, 0.672852f, 0.688477f, 0.704102f, 0.717285f, 0.731445f, + 0.744629f, 0.756836f, 0.769531f, 0.782715f, 0.793945f, 0.805664f, 0.816406f, 0.828125f, + 0.838379f, 0.849121f, 0.858887f, 0.868652f, 0.877930f, 0.888184f, 0.896973f, 0.905762f, + 0.915039f, 0.921875f, 0.930176f, 0.937988f, 0.946777f, 0.954102f, 0.960938f, 0.968750f, + 0.975586f, 0.982422f, 0.984375f, 0.969238f, 0.957520f, 0.947754f, 0.938477f, 0.930176f, + 0.015221f, 0.045837f, 0.076843f, 0.107666f, 0.136719f, 0.166504f, 0.196045f, 0.223999f, + 0.250244f, 0.278320f, 0.303711f, 0.329346f, 0.353271f, 0.378906f, 0.401367f, 0.424316f, + 0.447266f, 0.468018f, 0.487793f, 0.508301f, 0.529297f, 0.547363f, 0.566406f, 0.583984f, + 0.601562f, 0.618652f, 0.634766f, 0.650879f, 0.666016f, 0.681641f, 0.695801f, 0.710449f, + 0.724121f, 0.737305f, 0.750488f, 0.762695f, 0.775391f, 0.788086f, 0.799316f, 0.811035f, + 0.821777f, 0.833008f, 0.844238f, 0.854004f, 0.864258f, 0.874023f, 0.882812f, 0.892578f, + 0.901367f, 0.910156f, 0.918457f, 0.926758f, 0.936035f, 0.942871f, 0.950684f, 0.958496f, + 0.965820f, 0.973145f, 0.980469f, 0.965820f, 0.955078f, 0.945312f, 0.936523f, 0.928223f, + 0.013420f, 0.041138f, 0.068359f, 0.096436f, 0.124023f, 0.150879f, 0.177246f, 0.204224f, + 0.230103f, 0.255859f, 0.281494f, 0.305420f, 0.329834f, 0.352783f, 0.376709f, 0.398682f, + 0.420654f, 0.442627f, 0.462646f, 0.483887f, 0.502441f, 0.521484f, 0.540527f, 0.559082f, + 0.576172f, 0.595703f, 0.611328f, 0.627930f, 0.644043f, 0.659668f, 0.674316f, 0.688965f, + 0.703613f, 0.717285f, 0.730957f, 0.744629f, 0.756836f, 0.770020f, 0.781738f, 0.793945f, + 0.805176f, 0.816895f, 0.828125f, 0.838379f, 0.849121f, 0.859375f, 0.869141f, 0.878418f, + 0.888184f, 0.897461f, 0.906738f, 0.915039f, 0.923828f, 0.932129f, 0.940430f, 0.947754f, + 0.956543f, 0.963867f, 0.976074f, 0.962402f, 0.951660f, 0.942383f, 0.934082f, 0.926758f, + 0.012001f, 0.036591f, 0.061737f, 0.086670f, 0.112000f, 0.136719f, 0.161743f, 0.186768f, + 0.211792f, 0.235840f, 0.259521f, 0.283203f, 0.307129f, 0.329590f, 0.352295f, 0.374268f, + 0.395996f, 0.416992f, 0.437744f, 0.457520f, 0.477295f, 0.497314f, 0.515625f, 0.534180f, + 0.553223f, 0.570312f, 0.588379f, 0.604492f, 0.621582f, 0.636719f, 0.653320f, 0.666992f, + 0.683105f, 0.697266f, 0.710449f, 0.724609f, 0.737793f, 0.750977f, 0.764160f, 0.775879f, + 0.788086f, 0.799805f, 0.812012f, 0.823242f, 0.833496f, 0.844238f, 0.854492f, 0.864746f, + 0.875000f, 0.884277f, 0.894043f, 0.902832f, 0.911621f, 0.920898f, 0.929688f, 0.937500f, + 0.945801f, 0.953613f, 0.971191f, 0.958984f, 0.949219f, 0.939941f, 0.932129f, 0.924316f, + 0.010612f, 0.032684f, 0.054810f, 0.077759f, 0.100952f, 0.124023f, 0.146851f, 0.171021f, + 0.193604f, 0.217163f, 0.239380f, 0.261963f, 0.284424f, 0.307129f, 0.328613f, 0.351318f, + 0.371826f, 0.392334f, 0.413574f, 0.432617f, 0.453613f, 0.472656f, 0.491943f, 0.510254f, + 0.528320f, 0.546387f, 0.563965f, 0.580078f, 0.598633f, 0.613770f, 0.629883f, 0.645996f, + 0.661621f, 0.675293f, 0.688965f, 0.705078f, 0.718262f, 0.731934f, 0.745605f, 0.757812f, + 0.770996f, 0.782715f, 0.795410f, 0.807129f, 0.818359f, 0.829102f, 0.839844f, 0.851074f, + 0.860840f, 0.871094f, 0.880859f, 0.891113f, 0.900391f, 0.909668f, 0.917969f, 0.927246f, + 0.935547f, 0.943848f, 0.966797f, 0.955566f, 0.945801f, 0.937012f, 0.929199f, 0.921875f, + 0.009483f, 0.029556f, 0.050140f, 0.070129f, 0.091797f, 0.112549f, 0.134155f, 0.156372f, + 0.177368f, 0.198975f, 0.220825f, 0.243286f, 0.263916f, 0.285645f, 0.306885f, 0.327393f, + 0.348145f, 0.368896f, 0.389404f, 0.409424f, 0.429199f, 0.448730f, 0.467529f, 0.486572f, + 0.505371f, 0.522461f, 0.540039f, 0.558105f, 0.574219f, 0.591309f, 0.607422f, 0.623535f, + 0.639648f, 0.654785f, 0.669922f, 0.685547f, 0.698730f, 0.712891f, 0.726074f, 0.740234f, + 0.752441f, 0.765625f, 0.778320f, 0.789551f, 0.802246f, 0.813477f, 0.825195f, 0.836426f, + 0.847168f, 0.856934f, 0.868164f, 0.877930f, 0.888184f, 0.897461f, 0.906738f, 0.915527f, + 0.925293f, 0.935059f, 0.962402f, 0.951660f, 0.942383f, 0.933594f, 0.926270f, 0.919434f, + 0.008934f, 0.026581f, 0.044708f, 0.063354f, 0.082825f, 0.102844f, 0.122437f, 0.141968f, + 0.162720f, 0.183105f, 0.202515f, 0.224609f, 0.244995f, 0.265381f, 0.285645f, 0.306152f, + 0.326416f, 0.346680f, 0.365967f, 0.385498f, 0.406006f, 0.425293f, 0.444092f, 0.461914f, + 0.480225f, 0.499268f, 0.517090f, 0.535156f, 0.552246f, 0.568359f, 0.585449f, 0.601562f, + 0.616699f, 0.633789f, 0.649414f, 0.663574f, 0.678711f, 0.693848f, 0.706543f, 0.721680f, + 0.734375f, 0.746582f, 0.760742f, 0.773438f, 0.786133f, 0.797852f, 0.809082f, 0.821777f, + 0.832031f, 0.843262f, 0.854492f, 0.864746f, 0.875000f, 0.884766f, 0.895020f, 0.904785f, + 0.914062f, 0.922852f, 0.957520f, 0.947266f, 0.938965f, 0.930664f, 0.923340f, 0.916992f, + 0.007668f, 0.024017f, 0.040405f, 0.057831f, 0.075195f, 0.093079f, 0.111694f, 0.130127f, + 0.148926f, 0.168213f, 0.187500f, 0.206543f, 0.226440f, 0.246460f, 0.265869f, 0.285400f, + 0.305176f, 0.324707f, 0.344238f, 0.363281f, 0.383057f, 0.401123f, 0.420166f, 0.439941f, + 0.457764f, 0.475586f, 0.493164f, 0.511719f, 0.528809f, 0.545898f, 0.562988f, 0.579590f, + 0.596191f, 0.612305f, 0.627441f, 0.643555f, 0.658203f, 0.672363f, 0.687988f, 0.702637f, + 0.715332f, 0.728516f, 0.742676f, 0.756348f, 0.768555f, 0.781250f, 0.794434f, 0.806152f, + 0.818359f, 0.828613f, 0.840332f, 0.851074f, 0.861816f, 0.872559f, 0.882812f, 0.892578f, + 0.903320f, 0.912598f, 0.952637f, 0.943848f, 0.935059f, 0.927246f, 0.920410f, 0.914062f, + 0.007263f, 0.021530f, 0.037048f, 0.052429f, 0.068909f, 0.084961f, 0.102112f, 0.119568f, + 0.136475f, 0.154541f, 0.172852f, 0.191528f, 0.209717f, 0.228638f, 0.246948f, 0.265869f, + 0.284912f, 0.304199f, 0.322510f, 0.341309f, 0.360596f, 0.379639f, 0.397461f, 0.416504f, + 0.434570f, 0.452881f, 0.470947f, 0.489014f, 0.505859f, 0.523438f, 0.541016f, 0.557129f, + 0.574219f, 0.590332f, 0.606445f, 0.622070f, 0.637695f, 0.653809f, 0.667969f, 0.682129f, + 0.697754f, 0.711426f, 0.724609f, 0.737793f, 0.750977f, 0.765625f, 0.777832f, 0.790039f, + 0.801270f, 0.813477f, 0.825684f, 0.837402f, 0.848145f, 0.859375f, 0.870117f, 0.880859f, + 0.891602f, 0.900391f, 0.947754f, 0.938965f, 0.931152f, 0.923828f, 0.917480f, 0.911133f, + 0.006401f, 0.019730f, 0.033813f, 0.047729f, 0.062561f, 0.077515f, 0.093140f, 0.108948f, + 0.125366f, 0.141968f, 0.159058f, 0.175781f, 0.193726f, 0.212036f, 0.229980f, 0.247681f, + 0.265869f, 0.284424f, 0.302734f, 0.320557f, 0.339111f, 0.357910f, 0.376221f, 0.394287f, + 0.412109f, 0.429688f, 0.448486f, 0.466064f, 0.483398f, 0.500977f, 0.517090f, 0.535156f, + 0.552246f, 0.568359f, 0.583984f, 0.600586f, 0.616699f, 0.632324f, 0.647949f, 0.662598f, + 0.677246f, 0.692383f, 0.706543f, 0.719727f, 0.734375f, 0.747070f, 0.761230f, 0.773926f, + 0.786621f, 0.797852f, 0.811523f, 0.823242f, 0.834961f, 0.846680f, 0.857422f, 0.868652f, + 0.879395f, 0.890137f, 0.942383f, 0.934082f, 0.927246f, 0.919922f, 0.913574f, 0.908203f, + 0.005836f, 0.018158f, 0.030746f, 0.043335f, 0.057007f, 0.070801f, 0.085754f, 0.099548f, + 0.115112f, 0.130127f, 0.146362f, 0.162354f, 0.178711f, 0.195801f, 0.212769f, 0.230103f, + 0.247925f, 0.264893f, 0.283203f, 0.300293f, 0.318604f, 0.336426f, 0.354492f, 0.372314f, + 0.390137f, 0.408203f, 0.425537f, 0.443848f, 0.461182f, 0.478271f, 0.496094f, 0.513184f, + 0.529297f, 0.546387f, 0.563477f, 0.580566f, 0.595703f, 0.611816f, 0.626465f, 0.642090f, + 0.658691f, 0.671875f, 0.686523f, 0.702148f, 0.716797f, 0.729980f, 0.744629f, 0.757324f, + 0.770020f, 0.783203f, 0.796875f, 0.808105f, 0.820312f, 0.832520f, 0.844727f, 0.855957f, + 0.867188f, 0.877930f, 0.937012f, 0.930176f, 0.922852f, 0.916504f, 0.910645f, 0.904785f, + 0.005486f, 0.016525f, 0.028030f, 0.039612f, 0.052185f, 0.064636f, 0.077576f, 0.091553f, + 0.105347f, 0.119568f, 0.134521f, 0.149536f, 0.164917f, 0.180664f, 0.197388f, 0.213623f, + 0.230347f, 0.246826f, 0.264160f, 0.280518f, 0.298584f, 0.315674f, 0.334229f, 0.350830f, + 0.369141f, 0.386963f, 0.404053f, 0.422119f, 0.438477f, 0.456299f, 0.474121f, 0.491211f, + 0.507812f, 0.524902f, 0.541504f, 0.557617f, 0.574707f, 0.590820f, 0.606934f, 0.622559f, + 0.637207f, 0.652832f, 0.668945f, 0.683105f, 0.698730f, 0.711914f, 0.726074f, 0.740723f, + 0.753906f, 0.766602f, 0.780273f, 0.792969f, 0.805664f, 0.818848f, 0.830566f, 0.842285f, + 0.854492f, 0.866211f, 0.931641f, 0.925781f, 0.918945f, 0.913086f, 0.907227f, 0.900879f, + 0.004810f, 0.014847f, 0.025604f, 0.036621f, 0.047577f, 0.059174f, 0.071472f, 0.084106f, + 0.096985f, 0.109863f, 0.124146f, 0.137939f, 0.152954f, 0.167358f, 0.182495f, 0.197754f, + 0.213745f, 0.230103f, 0.246216f, 0.262939f, 0.279297f, 0.296387f, 0.313477f, 0.329834f, + 0.348145f, 0.365479f, 0.382080f, 0.399658f, 0.417480f, 0.434082f, 0.452148f, 0.469238f, + 0.486084f, 0.502441f, 0.520020f, 0.536621f, 0.552734f, 0.569336f, 0.585938f, 0.601562f, + 0.617676f, 0.632812f, 0.648438f, 0.664062f, 0.679688f, 0.693848f, 0.708008f, 0.722656f, + 0.735840f, 0.750488f, 0.765137f, 0.777832f, 0.791016f, 0.803711f, 0.816895f, 0.829102f, + 0.841309f, 0.853027f, 0.925781f, 0.921387f, 0.914551f, 0.908203f, 0.903320f, 0.897461f, + 0.004494f, 0.013809f, 0.023331f, 0.033264f, 0.043549f, 0.053833f, 0.065369f, 0.076660f, + 0.088684f, 0.100708f, 0.113464f, 0.127075f, 0.140381f, 0.154419f, 0.169067f, 0.183472f, + 0.198975f, 0.213623f, 0.229370f, 0.245117f, 0.261475f, 0.277832f, 0.294678f, 0.311523f, + 0.327148f, 0.344727f, 0.362061f, 0.378418f, 0.395996f, 0.413086f, 0.430176f, 0.447021f, + 0.464111f, 0.481689f, 0.498047f, 0.514648f, 0.531738f, 0.547363f, 0.565430f, 0.582031f, + 0.597656f, 0.612793f, 0.628418f, 0.644043f, 0.660645f, 0.674805f, 0.689941f, 0.705078f, + 0.718750f, 0.734375f, 0.747559f, 0.761719f, 0.775391f, 0.788086f, 0.803223f, 0.814453f, + 0.828125f, 0.840332f, 0.919434f, 0.916504f, 0.909668f, 0.904785f, 0.898926f, 0.894043f, + 0.004120f, 0.012512f, 0.021423f, 0.030655f, 0.039673f, 0.049500f, 0.059845f, 0.070374f, + 0.081543f, 0.093323f, 0.104614f, 0.116577f, 0.129395f, 0.142456f, 0.156250f, 0.169434f, + 0.183594f, 0.198364f, 0.213257f, 0.228638f, 0.244141f, 0.259766f, 0.275635f, 0.291748f, + 0.308105f, 0.324707f, 0.341309f, 0.359131f, 0.375244f, 0.391846f, 0.408447f, 0.426025f, + 0.442871f, 0.459473f, 0.477051f, 0.494141f, 0.510254f, 0.527344f, 0.543457f, 0.560059f, + 0.577148f, 0.592773f, 0.608887f, 0.625977f, 0.640625f, 0.656738f, 0.671875f, 0.686523f, + 0.702637f, 0.716797f, 0.731445f, 0.746582f, 0.759277f, 0.773926f, 0.787598f, 0.800293f, + 0.814453f, 0.827148f, 0.914062f, 0.911133f, 0.905273f, 0.899902f, 0.895508f, 0.890625f, + 0.004120f, 0.011566f, 0.019180f, 0.027969f, 0.036255f, 0.045746f, 0.054901f, 0.064941f, + 0.074707f, 0.085327f, 0.096436f, 0.107239f, 0.119324f, 0.131470f, 0.144165f, 0.157104f, + 0.169922f, 0.183594f, 0.198242f, 0.212769f, 0.227295f, 0.242188f, 0.257568f, 0.273193f, + 0.289307f, 0.305420f, 0.321289f, 0.337891f, 0.354492f, 0.371094f, 0.387451f, 0.405029f, + 0.421143f, 0.438477f, 0.455322f, 0.472656f, 0.488525f, 0.505859f, 0.521973f, 0.539551f, + 0.555664f, 0.572754f, 0.588867f, 0.605469f, 0.621582f, 0.637207f, 0.653320f, 0.668945f, + 0.684570f, 0.698242f, 0.714844f, 0.729492f, 0.745117f, 0.758301f, 0.771973f, 0.787109f, + 0.800781f, 0.813477f, 0.907715f, 0.905762f, 0.900879f, 0.895508f, 0.890625f, 0.886719f, + 0.003464f, 0.010536f, 0.018143f, 0.025604f, 0.033600f, 0.041992f, 0.050659f, 0.059631f, + 0.068481f, 0.078552f, 0.088196f, 0.099060f, 0.110107f, 0.121033f, 0.133057f, 0.145020f, + 0.157349f, 0.170166f, 0.183838f, 0.197632f, 0.210938f, 0.225464f, 0.241089f, 0.255371f, + 0.270508f, 0.286377f, 0.302246f, 0.317871f, 0.334229f, 0.349854f, 0.367188f, 0.383789f, + 0.399414f, 0.417236f, 0.433838f, 0.450928f, 0.468018f, 0.484131f, 0.501465f, 0.519043f, + 0.535156f, 0.551758f, 0.568359f, 0.585449f, 0.601074f, 0.617676f, 0.634277f, 0.649902f, + 0.666016f, 0.681152f, 0.695801f, 0.711914f, 0.727539f, 0.741699f, 0.756836f, 0.770508f, + 0.785645f, 0.800293f, 0.901855f, 0.900391f, 0.895996f, 0.891113f, 0.886230f, 0.881836f, + 0.003197f, 0.009903f, 0.016525f, 0.023849f, 0.030853f, 0.038605f, 0.046265f, 0.054657f, + 0.063232f, 0.072266f, 0.081543f, 0.090881f, 0.100769f, 0.112061f, 0.123047f, 0.134155f, + 0.145752f, 0.157471f, 0.170166f, 0.182861f, 0.196289f, 0.210327f, 0.223755f, 0.238525f, + 0.253418f, 0.268066f, 0.283203f, 0.299316f, 0.314697f, 0.330811f, 0.346680f, 0.363281f, + 0.379639f, 0.396484f, 0.412842f, 0.429443f, 0.446289f, 0.462891f, 0.480225f, 0.497559f, + 0.514648f, 0.531250f, 0.547852f, 0.564453f, 0.581055f, 0.598145f, 0.615234f, 0.631836f, + 0.646484f, 0.663086f, 0.679199f, 0.694824f, 0.710449f, 0.726074f, 0.740234f, 0.755859f, + 0.770508f, 0.784668f, 0.895020f, 0.894531f, 0.890625f, 0.886719f, 0.881836f, 0.877441f, + 0.003071f, 0.009163f, 0.015602f, 0.021729f, 0.028412f, 0.035522f, 0.042755f, 0.050598f, + 0.057983f, 0.066284f, 0.075317f, 0.083862f, 0.092773f, 0.102905f, 0.113342f, 0.123840f, + 0.134399f, 0.145752f, 0.157593f, 0.169556f, 0.182129f, 0.194702f, 0.207886f, 0.222046f, + 0.235840f, 0.250977f, 0.265137f, 0.280273f, 0.295898f, 0.311279f, 0.326660f, 0.342773f, + 0.359375f, 0.375732f, 0.392090f, 0.409180f, 0.425049f, 0.441895f, 0.459473f, 0.476318f, + 0.493652f, 0.510742f, 0.527344f, 0.544434f, 0.561035f, 0.578125f, 0.595215f, 0.611328f, + 0.628418f, 0.645020f, 0.661133f, 0.677246f, 0.693359f, 0.708496f, 0.724609f, 0.740723f, + 0.755859f, 0.771484f, 0.889160f, 0.889160f, 0.885254f, 0.881348f, 0.876953f, 0.873047f, + 0.002748f, 0.008171f, 0.014084f, 0.019638f, 0.026108f, 0.032318f, 0.039154f, 0.045990f, + 0.053619f, 0.061066f, 0.068665f, 0.076477f, 0.085632f, 0.094727f, 0.104187f, 0.113831f, + 0.123535f, 0.134888f, 0.145508f, 0.157104f, 0.168701f, 0.181030f, 0.193481f, 0.206665f, + 0.220093f, 0.233398f, 0.248169f, 0.262695f, 0.277344f, 0.292236f, 0.307617f, 0.322998f, + 0.339355f, 0.355469f, 0.371582f, 0.388184f, 0.404541f, 0.420410f, 0.438477f, 0.455322f, + 0.472656f, 0.489014f, 0.506348f, 0.523926f, 0.541016f, 0.557617f, 0.575195f, 0.591309f, + 0.608887f, 0.625977f, 0.643555f, 0.659180f, 0.674805f, 0.691406f, 0.707520f, 0.724121f, + 0.739746f, 0.755371f, 0.882812f, 0.883789f, 0.879883f, 0.875977f, 0.872559f, 0.868652f, + 0.002491f, 0.007809f, 0.012764f, 0.018448f, 0.024094f, 0.029861f, 0.036102f, 0.042572f, + 0.049500f, 0.056091f, 0.063293f, 0.070984f, 0.079285f, 0.087036f, 0.095825f, 0.104858f, + 0.114441f, 0.124084f, 0.133789f, 0.144653f, 0.156250f, 0.167480f, 0.179199f, 0.191650f, + 0.204102f, 0.217896f, 0.231445f, 0.245239f, 0.259521f, 0.274170f, 0.289307f, 0.304199f, + 0.319580f, 0.334961f, 0.351074f, 0.367676f, 0.384277f, 0.400635f, 0.417480f, 0.434570f, + 0.451660f, 0.468994f, 0.485352f, 0.502441f, 0.520508f, 0.537109f, 0.554688f, 0.571777f, + 0.588867f, 0.605957f, 0.623047f, 0.639648f, 0.656738f, 0.673828f, 0.690430f, 0.708008f, + 0.723633f, 0.739746f, 0.874023f, 0.876953f, 0.874023f, 0.871582f, 0.867188f, 0.862793f, + 0.002279f, 0.007130f, 0.012291f, 0.016922f, 0.022171f, 0.027847f, 0.033325f, 0.039185f, + 0.045349f, 0.051849f, 0.058411f, 0.064880f, 0.072144f, 0.080017f, 0.087891f, 0.096313f, + 0.105103f, 0.114197f, 0.123779f, 0.134155f, 0.144043f, 0.155151f, 0.166016f, 0.177246f, + 0.189697f, 0.202271f, 0.214722f, 0.228271f, 0.242310f, 0.256592f, 0.270752f, 0.285400f, + 0.300537f, 0.315674f, 0.331543f, 0.347656f, 0.363525f, 0.379639f, 0.396729f, 0.414307f, + 0.430908f, 0.447754f, 0.465088f, 0.482178f, 0.499512f, 0.517090f, 0.533203f, 0.552246f, + 0.568848f, 0.586426f, 0.603516f, 0.621582f, 0.639648f, 0.656250f, 0.673828f, 0.690918f, + 0.707520f, 0.724121f, 0.867676f, 0.870605f, 0.868164f, 0.865723f, 0.861328f, 0.857910f, + 0.002220f, 0.006565f, 0.011238f, 0.015961f, 0.020401f, 0.025558f, 0.030853f, 0.036133f, + 0.041199f, 0.047180f, 0.053436f, 0.059723f, 0.066162f, 0.073853f, 0.080688f, 0.088440f, + 0.096436f, 0.105042f, 0.114319f, 0.123047f, 0.132446f, 0.142822f, 0.153198f, 0.164062f, + 0.175659f, 0.187378f, 0.199463f, 0.212402f, 0.225464f, 0.239014f, 0.252686f, 0.266846f, + 0.281494f, 0.296631f, 0.312500f, 0.328369f, 0.343750f, 0.359863f, 0.376221f, 0.393066f, + 0.409668f, 0.426514f, 0.444336f, 0.461670f, 0.478760f, 0.496826f, 0.513672f, 0.532227f, + 0.549316f, 0.567383f, 0.584961f, 0.602051f, 0.620605f, 0.637207f, 0.655273f, 0.672363f, + 0.689941f, 0.708008f, 0.860840f, 0.864746f, 0.862793f, 0.859375f, 0.855957f, 0.853027f, + 0.002190f, 0.005993f, 0.010117f, 0.014420f, 0.018738f, 0.023361f, 0.028015f, 0.033142f, + 0.037781f, 0.043732f, 0.048920f, 0.054840f, 0.061218f, 0.067810f, 0.074219f, 0.081299f, + 0.088562f, 0.096130f, 0.104614f, 0.113098f, 0.122253f, 0.131714f, 0.141113f, 0.151245f, + 0.162109f, 0.173462f, 0.184692f, 0.196899f, 0.209473f, 0.222534f, 0.236206f, 0.249634f, + 0.263672f, 0.277588f, 0.293213f, 0.308350f, 0.323975f, 0.339844f, 0.355957f, 0.372070f, + 0.389404f, 0.405762f, 0.422852f, 0.439941f, 0.458008f, 0.475098f, 0.492920f, 0.510742f, + 0.528320f, 0.546875f, 0.564453f, 0.583496f, 0.601074f, 0.619141f, 0.636719f, 0.654785f, + 0.672852f, 0.691406f, 0.852539f, 0.858398f, 0.856445f, 0.853516f, 0.850586f, 0.847656f, + 0.001787f, 0.005753f, 0.009300f, 0.013611f, 0.017410f, 0.021576f, 0.025665f, 0.030533f, + 0.035126f, 0.040039f, 0.044952f, 0.050446f, 0.055817f, 0.061890f, 0.068054f, 0.074707f, + 0.081482f, 0.088501f, 0.095764f, 0.103943f, 0.112183f, 0.120850f, 0.130249f, 0.139526f, + 0.149658f, 0.160400f, 0.171021f, 0.182007f, 0.194336f, 0.206421f, 0.219360f, 0.232666f, + 0.245850f, 0.260010f, 0.274170f, 0.289307f, 0.304443f, 0.319580f, 0.335693f, 0.352295f, + 0.369141f, 0.385498f, 0.402344f, 0.419189f, 0.437012f, 0.454346f, 0.472412f, 0.490234f, + 0.507812f, 0.525879f, 0.545410f, 0.562500f, 0.581055f, 0.600098f, 0.618164f, 0.636719f, + 0.655273f, 0.674316f, 0.845703f, 0.852051f, 0.849609f, 0.847168f, 0.845215f, 0.841309f, + 0.001766f, 0.005241f, 0.008881f, 0.012024f, 0.016129f, 0.020233f, 0.024124f, 0.027664f, + 0.032135f, 0.036835f, 0.041321f, 0.046173f, 0.051392f, 0.056946f, 0.062225f, 0.068604f, + 0.074524f, 0.080933f, 0.088135f, 0.095398f, 0.103210f, 0.110779f, 0.119263f, 0.128296f, + 0.137695f, 0.147217f, 0.157349f, 0.168091f, 0.179688f, 0.191284f, 0.203613f, 0.215942f, + 0.228882f, 0.242554f, 0.255859f, 0.270508f, 0.285400f, 0.300537f, 0.316406f, 0.331787f, + 0.348877f, 0.364746f, 0.382080f, 0.398682f, 0.415771f, 0.434082f, 0.451416f, 0.469482f, + 0.487793f, 0.505859f, 0.524414f, 0.542969f, 0.562012f, 0.580566f, 0.598145f, 0.618652f, + 0.637695f, 0.657227f, 0.837891f, 0.844727f, 0.843750f, 0.841309f, 0.838379f, 0.836426f, + 0.001598f, 0.004887f, 0.008217f, 0.011497f, 0.014786f, 0.018326f, 0.021652f, 0.025513f, + 0.029541f, 0.033813f, 0.038086f, 0.042236f, 0.046844f, 0.052032f, 0.057251f, 0.062622f, + 0.068237f, 0.074280f, 0.080505f, 0.086975f, 0.094116f, 0.101074f, 0.109314f, 0.117554f, + 0.126587f, 0.135254f, 0.144775f, 0.155029f, 0.165405f, 0.176392f, 0.187744f, 0.199829f, + 0.212646f, 0.224976f, 0.238647f, 0.252441f, 0.267090f, 0.281738f, 0.296631f, 0.312256f, + 0.328369f, 0.344971f, 0.361328f, 0.377686f, 0.395264f, 0.412842f, 0.430908f, 0.448730f, + 0.467041f, 0.485596f, 0.503906f, 0.522461f, 0.541504f, 0.561523f, 0.580078f, 0.599121f, + 0.618164f, 0.639648f, 0.828613f, 0.837891f, 0.836914f, 0.834473f, 0.833008f, 0.830566f, + 0.001709f, 0.004494f, 0.007416f, 0.010628f, 0.013680f, 0.016785f, 0.020203f, 0.023712f, + 0.027435f, 0.031006f, 0.034424f, 0.038635f, 0.043182f, 0.047668f, 0.052307f, 0.057159f, + 0.062042f, 0.067749f, 0.073730f, 0.079956f, 0.086182f, 0.092773f, 0.100159f, 0.107727f, + 0.115479f, 0.123962f, 0.132935f, 0.142578f, 0.151978f, 0.162476f, 0.173340f, 0.184570f, + 0.196411f, 0.208740f, 0.221436f, 0.235229f, 0.248779f, 0.262939f, 0.277832f, 0.293213f, + 0.308105f, 0.324219f, 0.341309f, 0.357178f, 0.374756f, 0.391846f, 0.409424f, 0.427490f, + 0.446533f, 0.464844f, 0.483643f, 0.501953f, 0.521484f, 0.541504f, 0.561035f, 0.579590f, + 0.599609f, 0.620605f, 0.821289f, 0.830566f, 0.830078f, 0.828125f, 0.825684f, 0.823242f, + 0.001367f, 0.004105f, 0.007023f, 0.009552f, 0.012611f, 0.015289f, 0.018341f, 0.021652f, + 0.024857f, 0.027878f, 0.031769f, 0.035614f, 0.039276f, 0.043610f, 0.047333f, 0.052155f, + 0.056549f, 0.061401f, 0.066895f, 0.072449f, 0.078613f, 0.084778f, 0.091309f, 0.098083f, + 0.105774f, 0.113281f, 0.121399f, 0.130371f, 0.139648f, 0.148926f, 0.159546f, 0.169922f, + 0.180908f, 0.192749f, 0.204834f, 0.217651f, 0.231567f, 0.244385f, 0.259277f, 0.273926f, + 0.289307f, 0.304688f, 0.320557f, 0.336914f, 0.354248f, 0.371338f, 0.388184f, 0.406982f, + 0.424316f, 0.443115f, 0.462646f, 0.481445f, 0.501465f, 0.520508f, 0.541016f, 0.559570f, + 0.580078f, 0.601074f, 0.812988f, 0.823242f, 0.823242f, 0.821289f, 0.819824f, 0.817383f, + 0.001398f, 0.003883f, 0.006351f, 0.008911f, 0.011559f, 0.014343f, 0.017212f, 0.020035f, + 0.022797f, 0.026062f, 0.028793f, 0.031891f, 0.035858f, 0.039368f, 0.043213f, 0.047607f, + 0.051483f, 0.056030f, 0.060883f, 0.065979f, 0.071350f, 0.076843f, 0.083130f, 0.089172f, + 0.096069f, 0.103333f, 0.111023f, 0.119019f, 0.127319f, 0.136719f, 0.145996f, 0.156128f, + 0.166138f, 0.177368f, 0.189453f, 0.201416f, 0.213745f, 0.227295f, 0.240601f, 0.255371f, + 0.269287f, 0.285400f, 0.301270f, 0.317139f, 0.333740f, 0.350586f, 0.367920f, 0.385986f, + 0.404297f, 0.422852f, 0.442383f, 0.460938f, 0.479980f, 0.500488f, 0.520508f, 0.541016f, + 0.560547f, 0.582520f, 0.803711f, 0.814941f, 0.815430f, 0.814453f, 0.812500f, 0.810547f, + 0.001259f, 0.003464f, 0.006332f, 0.008286f, 0.010384f, 0.013000f, 0.015587f, 0.018234f, + 0.021027f, 0.023422f, 0.026566f, 0.029480f, 0.032379f, 0.035919f, 0.039215f, 0.043060f, + 0.046997f, 0.050995f, 0.055267f, 0.059998f, 0.065002f, 0.069946f, 0.075317f, 0.081299f, + 0.087280f, 0.094116f, 0.101135f, 0.108276f, 0.116150f, 0.124695f, 0.133545f, 0.142700f, + 0.152222f, 0.162720f, 0.173950f, 0.185303f, 0.197754f, 0.210205f, 0.223022f, 0.237061f, + 0.250732f, 0.265869f, 0.281250f, 0.297119f, 0.313477f, 0.330322f, 0.347656f, 0.364746f, + 0.383301f, 0.401367f, 0.420898f, 0.440186f, 0.459229f, 0.479736f, 0.499512f, 0.520996f, + 0.541016f, 0.562988f, 0.794434f, 0.807129f, 0.807617f, 0.807129f, 0.805176f, 0.803711f, + 0.001070f, 0.003237f, 0.005432f, 0.007359f, 0.009857f, 0.012337f, 0.014191f, 0.016586f, + 0.019257f, 0.021561f, 0.024094f, 0.026901f, 0.029724f, 0.032745f, 0.035675f, 0.039368f, + 0.042572f, 0.045990f, 0.050354f, 0.054535f, 0.058746f, 0.063232f, 0.068420f, 0.073608f, + 0.079529f, 0.085266f, 0.091370f, 0.098083f, 0.105835f, 0.113159f, 0.121094f, 0.129639f, + 0.139038f, 0.148926f, 0.159058f, 0.169678f, 0.181274f, 0.193481f, 0.205811f, 0.219482f, + 0.233032f, 0.247192f, 0.262207f, 0.277100f, 0.293213f, 0.309814f, 0.326660f, 0.344238f, + 0.361816f, 0.380615f, 0.398926f, 0.418945f, 0.438477f, 0.458008f, 0.479004f, 0.499512f, + 0.520996f, 0.543945f, 0.784668f, 0.798828f, 0.800293f, 0.799805f, 0.797852f, 0.796875f, + 0.001074f, 0.002916f, 0.004955f, 0.007149f, 0.009033f, 0.011055f, 0.013268f, 0.015495f, + 0.017365f, 0.019485f, 0.022095f, 0.024002f, 0.026688f, 0.029633f, 0.032593f, 0.035370f, + 0.038361f, 0.041870f, 0.045319f, 0.049225f, 0.052948f, 0.057068f, 0.061676f, 0.066345f, + 0.071167f, 0.076782f, 0.082581f, 0.088867f, 0.095886f, 0.102539f, 0.109802f, 0.118042f, + 0.126709f, 0.135132f, 0.144897f, 0.155151f, 0.165771f, 0.177368f, 0.189209f, 0.201904f, + 0.215210f, 0.229370f, 0.242798f, 0.258057f, 0.274170f, 0.290039f, 0.306885f, 0.323242f, + 0.341309f, 0.359375f, 0.378418f, 0.397461f, 0.416260f, 0.437500f, 0.457031f, 0.479004f, + 0.501465f, 0.522461f, 0.775391f, 0.790527f, 0.791992f, 0.791504f, 0.791016f, 0.789551f, + 0.000837f, 0.002916f, 0.004738f, 0.006477f, 0.008575f, 0.010170f, 0.012161f, 0.014023f, + 0.015808f, 0.017792f, 0.020111f, 0.022064f, 0.024414f, 0.026794f, 0.029251f, 0.032074f, + 0.034698f, 0.037598f, 0.040741f, 0.043915f, 0.047577f, 0.051361f, 0.055389f, 0.059692f, + 0.064209f, 0.068787f, 0.074585f, 0.079712f, 0.085632f, 0.092346f, 0.099487f, 0.106323f, + 0.114929f, 0.122925f, 0.131958f, 0.141235f, 0.151123f, 0.161865f, 0.172974f, 0.184937f, + 0.197632f, 0.210693f, 0.224854f, 0.239136f, 0.254395f, 0.269531f, 0.285889f, 0.302979f, + 0.320557f, 0.338623f, 0.356689f, 0.375977f, 0.395752f, 0.415527f, 0.436523f, 0.458252f, + 0.479248f, 0.501465f, 0.765137f, 0.781738f, 0.783691f, 0.784180f, 0.783203f, 0.781250f, + 0.000854f, 0.002817f, 0.004089f, 0.005684f, 0.007675f, 0.009277f, 0.010864f, 0.012413f, + 0.014427f, 0.016235f, 0.017838f, 0.019913f, 0.021805f, 0.023987f, 0.026276f, 0.028915f, + 0.030960f, 0.033875f, 0.036652f, 0.039551f, 0.042816f, 0.045837f, 0.049591f, 0.053589f, + 0.057526f, 0.061829f, 0.066650f, 0.071655f, 0.077393f, 0.083008f, 0.088989f, 0.096008f, + 0.103210f, 0.110657f, 0.119141f, 0.127930f, 0.137085f, 0.146973f, 0.157593f, 0.169312f, + 0.181274f, 0.193481f, 0.207031f, 0.220581f, 0.235229f, 0.250732f, 0.266357f, 0.282227f, + 0.299805f, 0.317627f, 0.335449f, 0.354736f, 0.374268f, 0.394531f, 0.415527f, 0.436279f, + 0.458252f, 0.481689f, 0.754883f, 0.773438f, 0.775391f, 0.775879f, 0.774902f, 0.773926f, + 0.000852f, 0.002520f, 0.003937f, 0.005527f, 0.006836f, 0.008408f, 0.009773f, 0.011620f, + 0.013039f, 0.014687f, 0.016327f, 0.017944f, 0.019760f, 0.021774f, 0.023697f, 0.025894f, + 0.027969f, 0.030121f, 0.032501f, 0.035370f, 0.038208f, 0.041046f, 0.044098f, 0.047791f, + 0.051453f, 0.055176f, 0.059570f, 0.064026f, 0.068787f, 0.074158f, 0.079834f, 0.085938f, + 0.092590f, 0.099304f, 0.106873f, 0.114990f, 0.124023f, 0.133301f, 0.143066f, 0.153687f, + 0.164551f, 0.176392f, 0.189209f, 0.202637f, 0.216553f, 0.231323f, 0.246704f, 0.262451f, + 0.279297f, 0.296387f, 0.314697f, 0.333496f, 0.353516f, 0.373047f, 0.394775f, 0.415039f, + 0.437500f, 0.460449f, 0.745117f, 0.763672f, 0.766602f, 0.767090f, 0.767090f, 0.765625f, + 0.000762f, 0.002342f, 0.003563f, 0.004787f, 0.006447f, 0.007648f, 0.009193f, 0.010353f, + 0.012016f, 0.013138f, 0.014557f, 0.016312f, 0.017929f, 0.019470f, 0.021103f, 0.023056f, + 0.024918f, 0.026886f, 0.029099f, 0.031586f, 0.034058f, 0.036499f, 0.039307f, 0.042450f, + 0.045685f, 0.049072f, 0.052826f, 0.056915f, 0.061096f, 0.065918f, 0.070984f, 0.076538f, + 0.082520f, 0.088928f, 0.095520f, 0.102905f, 0.111206f, 0.119629f, 0.128662f, 0.138184f, + 0.148682f, 0.160156f, 0.171997f, 0.184937f, 0.198364f, 0.212524f, 0.227173f, 0.243042f, + 0.259277f, 0.276611f, 0.294189f, 0.312500f, 0.331055f, 0.350830f, 0.372070f, 0.392334f, + 0.415771f, 0.438232f, 0.734375f, 0.754395f, 0.758789f, 0.758789f, 0.758789f, 0.757812f, + 0.000848f, 0.002024f, 0.003553f, 0.004646f, 0.005726f, 0.007050f, 0.008362f, 0.009438f, + 0.010536f, 0.011810f, 0.013123f, 0.014481f, 0.015778f, 0.017242f, 0.018753f, 0.020447f, + 0.022278f, 0.023819f, 0.025940f, 0.027771f, 0.029999f, 0.032410f, 0.034851f, 0.037354f, + 0.040375f, 0.043610f, 0.046631f, 0.050354f, 0.054108f, 0.058563f, 0.062805f, 0.067871f, + 0.073242f, 0.078796f, 0.085083f, 0.091797f, 0.098816f, 0.106689f, 0.115540f, 0.124207f, + 0.134155f, 0.144409f, 0.155762f, 0.167725f, 0.180664f, 0.193848f, 0.208618f, 0.223389f, + 0.239746f, 0.256104f, 0.273438f, 0.291260f, 0.310059f, 0.330078f, 0.349854f, 0.370850f, + 0.393555f, 0.416992f, 0.724121f, 0.744629f, 0.748535f, 0.750000f, 0.749512f, 0.749512f, + 0.000736f, 0.001780f, 0.002937f, 0.004314f, 0.005211f, 0.006214f, 0.007423f, 0.008537f, + 0.009392f, 0.010773f, 0.011726f, 0.012970f, 0.014183f, 0.015373f, 0.016724f, 0.017990f, + 0.019730f, 0.021194f, 0.022644f, 0.024368f, 0.026443f, 0.028610f, 0.030685f, 0.032898f, + 0.035583f, 0.038300f, 0.041351f, 0.044556f, 0.047638f, 0.051422f, 0.055359f, 0.059875f, + 0.064392f, 0.069580f, 0.075195f, 0.080872f, 0.087646f, 0.094849f, 0.102173f, 0.110596f, + 0.119690f, 0.129761f, 0.139893f, 0.151367f, 0.163452f, 0.176147f, 0.190063f, 0.204590f, + 0.219238f, 0.235718f, 0.252441f, 0.270264f, 0.289062f, 0.307861f, 0.328613f, 0.350098f, + 0.372314f, 0.395020f, 0.712402f, 0.734863f, 0.739746f, 0.740723f, 0.740723f, 0.740234f, + 0.000589f, 0.001616f, 0.002674f, 0.003841f, 0.004940f, 0.005676f, 0.006554f, 0.007442f, + 0.008812f, 0.009537f, 0.010277f, 0.011528f, 0.012634f, 0.013527f, 0.014671f, 0.016037f, + 0.017136f, 0.018631f, 0.019943f, 0.021530f, 0.023071f, 0.025146f, 0.026825f, 0.029037f, + 0.030853f, 0.033447f, 0.035736f, 0.038849f, 0.041656f, 0.044922f, 0.048462f, 0.052277f, + 0.056519f, 0.061127f, 0.065796f, 0.071411f, 0.077148f, 0.083435f, 0.090393f, 0.097900f, + 0.106079f, 0.115356f, 0.125122f, 0.135132f, 0.146729f, 0.158936f, 0.171509f, 0.185059f, + 0.200439f, 0.215576f, 0.232056f, 0.249756f, 0.267822f, 0.286621f, 0.306885f, 0.328125f, + 0.349854f, 0.373291f, 0.701172f, 0.725586f, 0.729980f, 0.730957f, 0.731934f, 0.730957f, + 0.000547f, 0.001666f, 0.002367f, 0.003559f, 0.004238f, 0.005028f, 0.005852f, 0.006859f, + 0.007755f, 0.008530f, 0.009163f, 0.010056f, 0.010956f, 0.011978f, 0.013062f, 0.014076f, + 0.015053f, 0.016251f, 0.017471f, 0.018921f, 0.020233f, 0.021774f, 0.023315f, 0.025162f, + 0.026871f, 0.029007f, 0.031204f, 0.033661f, 0.036102f, 0.039062f, 0.042053f, 0.045380f, + 0.048859f, 0.053040f, 0.057343f, 0.062225f, 0.067261f, 0.073120f, 0.079407f, 0.086243f, + 0.093567f, 0.101868f, 0.110596f, 0.120239f, 0.130859f, 0.141968f, 0.154053f, 0.167358f, + 0.181274f, 0.196045f, 0.212158f, 0.229248f, 0.247192f, 0.265381f, 0.285400f, 0.305664f, + 0.327637f, 0.350586f, 0.689453f, 0.715820f, 0.720215f, 0.722168f, 0.722168f, 0.722168f, + 0.000492f, 0.001634f, 0.002342f, 0.003111f, 0.003866f, 0.004574f, 0.005417f, 0.005928f, + 0.006588f, 0.007393f, 0.008041f, 0.008873f, 0.009689f, 0.010391f, 0.011375f, 0.012146f, + 0.013100f, 0.014183f, 0.015274f, 0.016479f, 0.017456f, 0.018768f, 0.020157f, 0.021606f, + 0.023300f, 0.024933f, 0.026855f, 0.028885f, 0.031143f, 0.033417f, 0.036133f, 0.039032f, + 0.042236f, 0.045776f, 0.049713f, 0.053680f, 0.058228f, 0.063232f, 0.069092f, 0.074829f, + 0.081482f, 0.089050f, 0.096924f, 0.105591f, 0.115417f, 0.126221f, 0.137329f, 0.149658f, + 0.162964f, 0.176880f, 0.192505f, 0.208740f, 0.226318f, 0.244873f, 0.263428f, 0.283936f, + 0.306396f, 0.329346f, 0.676270f, 0.705078f, 0.709961f, 0.711914f, 0.712891f, 0.711914f, + 0.000506f, 0.001342f, 0.002157f, 0.002813f, 0.003353f, 0.004105f, 0.004658f, 0.005344f, + 0.005871f, 0.006538f, 0.007050f, 0.007751f, 0.008247f, 0.009109f, 0.009865f, 0.010559f, + 0.011269f, 0.012169f, 0.013290f, 0.014191f, 0.015015f, 0.016312f, 0.017395f, 0.018570f, + 0.019989f, 0.021439f, 0.023102f, 0.024536f, 0.026535f, 0.028702f, 0.030899f, 0.033356f, + 0.035980f, 0.039093f, 0.042328f, 0.046051f, 0.049927f, 0.054199f, 0.059052f, 0.064575f, + 0.070496f, 0.076782f, 0.084412f, 0.092285f, 0.100708f, 0.110779f, 0.121399f, 0.132690f, + 0.145508f, 0.158813f, 0.173584f, 0.189453f, 0.205688f, 0.223755f, 0.242554f, 0.263184f, + 0.284180f, 0.306641f, 0.664551f, 0.693848f, 0.699707f, 0.702148f, 0.702637f, 0.703125f, + 0.000500f, 0.001122f, 0.001810f, 0.002363f, 0.002987f, 0.003576f, 0.004158f, 0.004620f, + 0.005032f, 0.005627f, 0.006161f, 0.006721f, 0.007179f, 0.007790f, 0.008385f, 0.009163f, + 0.009758f, 0.010536f, 0.011284f, 0.011986f, 0.012878f, 0.013710f, 0.014725f, 0.015823f, + 0.016937f, 0.018326f, 0.019547f, 0.020874f, 0.022522f, 0.024399f, 0.026077f, 0.028427f, + 0.030609f, 0.032990f, 0.035736f, 0.038788f, 0.042236f, 0.045990f, 0.050354f, 0.054901f, + 0.059967f, 0.065918f, 0.072205f, 0.079468f, 0.087219f, 0.096252f, 0.105713f, 0.116272f, + 0.128174f, 0.140747f, 0.154419f, 0.169556f, 0.186279f, 0.203125f, 0.221313f, 0.240601f, + 0.261719f, 0.284424f, 0.652344f, 0.683105f, 0.688965f, 0.691406f, 0.692383f, 0.693359f, + 0.000482f, 0.001184f, 0.001604f, 0.002171f, 0.002562f, 0.003029f, 0.003656f, 0.003941f, + 0.004410f, 0.004948f, 0.005325f, 0.005577f, 0.006157f, 0.006702f, 0.007172f, 0.007751f, + 0.008331f, 0.008904f, 0.009514f, 0.010063f, 0.010925f, 0.011719f, 0.012306f, 0.013321f, + 0.014275f, 0.015465f, 0.016510f, 0.017593f, 0.018845f, 0.020401f, 0.022095f, 0.023682f, + 0.025513f, 0.027679f, 0.029968f, 0.032593f, 0.035461f, 0.038757f, 0.042175f, 0.046326f, + 0.050873f, 0.055939f, 0.061462f, 0.067444f, 0.074402f, 0.082520f, 0.091125f, 0.100830f, + 0.111572f, 0.123413f, 0.136719f, 0.150513f, 0.165894f, 0.182251f, 0.200684f, 0.219727f, + 0.240234f, 0.261963f, 0.640137f, 0.671387f, 0.679199f, 0.680664f, 0.682617f, 0.683105f, + 0.000501f, 0.000919f, 0.001424f, 0.001853f, 0.002266f, 0.002789f, 0.002998f, 0.003397f, + 0.003902f, 0.004192f, 0.004417f, 0.004974f, 0.005207f, 0.005676f, 0.006134f, 0.006527f, + 0.007179f, 0.007465f, 0.008018f, 0.008537f, 0.009178f, 0.009888f, 0.010544f, 0.011093f, + 0.011986f, 0.012794f, 0.013664f, 0.014717f, 0.015747f, 0.016983f, 0.018127f, 0.019470f, + 0.021103f, 0.022919f, 0.024826f, 0.026962f, 0.029358f, 0.031769f, 0.035065f, 0.038239f, + 0.042297f, 0.046570f, 0.051422f, 0.056671f, 0.062805f, 0.069763f, 0.077698f, 0.086182f, + 0.095825f, 0.106812f, 0.119080f, 0.132568f, 0.147217f, 0.162598f, 0.180176f, 0.198730f, + 0.218628f, 0.241211f, 0.627441f, 0.660156f, 0.668457f, 0.669922f, 0.672363f, 0.671875f, + 0.000235f, 0.001120f, 0.001356f, 0.001651f, 0.002117f, 0.002441f, 0.002678f, 0.002993f, + 0.003244f, 0.003519f, 0.003876f, 0.004086f, 0.004505f, 0.004787f, 0.005085f, 0.005604f, + 0.005985f, 0.006271f, 0.006783f, 0.007145f, 0.007679f, 0.008217f, 0.008728f, 0.009277f, + 0.009956f, 0.010605f, 0.011490f, 0.012062f, 0.013084f, 0.013962f, 0.014984f, 0.016113f, + 0.017395f, 0.018829f, 0.020416f, 0.022125f, 0.023972f, 0.025955f, 0.028625f, 0.031616f, + 0.034515f, 0.038147f, 0.042114f, 0.046783f, 0.052094f, 0.058075f, 0.065002f, 0.072510f, + 0.081604f, 0.091125f, 0.102539f, 0.114807f, 0.128662f, 0.143921f, 0.160034f, 0.178467f, + 0.198364f, 0.218750f, 0.613281f, 0.648926f, 0.657227f, 0.659668f, 0.661621f, 0.661621f, + 0.000382f, 0.000704f, 0.001099f, 0.001557f, 0.001774f, 0.001976f, 0.002132f, 0.002575f, + 0.002634f, 0.002916f, 0.003103f, 0.003494f, 0.003754f, 0.003956f, 0.004269f, 0.004684f, + 0.004902f, 0.005234f, 0.005569f, 0.005890f, 0.006416f, 0.006786f, 0.007160f, 0.007645f, + 0.008118f, 0.008781f, 0.009346f, 0.010025f, 0.010658f, 0.011475f, 0.012230f, 0.013016f, + 0.014122f, 0.015251f, 0.016342f, 0.017807f, 0.019424f, 0.021103f, 0.023026f, 0.025436f, + 0.027817f, 0.030914f, 0.034210f, 0.037750f, 0.042450f, 0.047455f, 0.053101f, 0.059998f, + 0.067688f, 0.076660f, 0.086670f, 0.097961f, 0.110779f, 0.125366f, 0.140747f, 0.158081f, + 0.176880f, 0.197632f, 0.600098f, 0.637207f, 0.644531f, 0.647949f, 0.649414f, 0.651855f, + 0.000182f, 0.000738f, 0.000942f, 0.001220f, 0.001469f, 0.001634f, 0.001820f, 0.002005f, + 0.002291f, 0.002441f, 0.002636f, 0.002832f, 0.003019f, 0.003242f, 0.003502f, 0.003824f, + 0.004017f, 0.004333f, 0.004570f, 0.004883f, 0.005173f, 0.005615f, 0.005909f, 0.006317f, + 0.006649f, 0.007160f, 0.007656f, 0.008156f, 0.008583f, 0.009209f, 0.009857f, 0.010696f, + 0.011322f, 0.012367f, 0.013229f, 0.014259f, 0.015686f, 0.016815f, 0.018402f, 0.020126f, + 0.022095f, 0.024414f, 0.027176f, 0.030273f, 0.033722f, 0.038086f, 0.042969f, 0.048645f, + 0.055237f, 0.063171f, 0.071960f, 0.082031f, 0.093994f, 0.107300f, 0.122131f, 0.138550f, + 0.156494f, 0.177002f, 0.586426f, 0.625488f, 0.633789f, 0.637207f, 0.638672f, 0.639648f, + 0.000199f, 0.000534f, 0.000745f, 0.000995f, 0.001190f, 0.001387f, 0.001516f, 0.001691f, + 0.001790f, 0.001941f, 0.002214f, 0.002346f, 0.002449f, 0.002686f, 0.002832f, 0.003042f, + 0.003304f, 0.003531f, 0.003662f, 0.003952f, 0.004181f, 0.004517f, 0.004704f, 0.005074f, + 0.005352f, 0.005718f, 0.006096f, 0.006481f, 0.006947f, 0.007454f, 0.007988f, 0.008484f, + 0.009140f, 0.009804f, 0.010475f, 0.011307f, 0.012299f, 0.013268f, 0.014511f, 0.015823f, + 0.017410f, 0.018936f, 0.021225f, 0.023621f, 0.026367f, 0.029770f, 0.033661f, 0.038452f, + 0.044067f, 0.050812f, 0.058411f, 0.067444f, 0.077942f, 0.090149f, 0.104187f, 0.119812f, + 0.137085f, 0.156372f, 0.572754f, 0.613770f, 0.621582f, 0.625977f, 0.627441f, 0.628906f, + 0.000165f, 0.000486f, 0.000618f, 0.000880f, 0.001063f, 0.001140f, 0.001258f, 0.001464f, + 0.001498f, 0.001561f, 0.001707f, 0.001899f, 0.001976f, 0.002171f, 0.002285f, 0.002474f, + 0.002571f, 0.002764f, 0.002968f, 0.003170f, 0.003389f, 0.003580f, 0.003822f, 0.004036f, + 0.004269f, 0.004505f, 0.004738f, 0.005157f, 0.005474f, 0.005821f, 0.006279f, 0.006649f, + 0.007107f, 0.007610f, 0.008240f, 0.008835f, 0.009598f, 0.010361f, 0.011276f, 0.012299f, + 0.013466f, 0.014740f, 0.016251f, 0.018021f, 0.020294f, 0.022797f, 0.025833f, 0.029739f, + 0.034058f, 0.039612f, 0.046021f, 0.053833f, 0.063110f, 0.074158f, 0.086914f, 0.101562f, + 0.118164f, 0.136841f, 0.558594f, 0.601074f, 0.608887f, 0.613281f, 0.615234f, 0.617188f, + 0.000096f, 0.000348f, 0.000585f, 0.000707f, 0.000837f, 0.000866f, 0.000972f, 0.001095f, + 0.001198f, 0.001309f, 0.001355f, 0.001417f, 0.001615f, 0.001740f, 0.001863f, 0.001880f, + 0.002048f, 0.002159f, 0.002380f, 0.002487f, 0.002613f, 0.002777f, 0.003000f, 0.003143f, + 0.003353f, 0.003521f, 0.003748f, 0.003963f, 0.004265f, 0.004490f, 0.004776f, 0.005093f, + 0.005577f, 0.005966f, 0.006321f, 0.006828f, 0.007320f, 0.007904f, 0.008575f, 0.009392f, + 0.010231f, 0.011276f, 0.012321f, 0.013832f, 0.015343f, 0.017242f, 0.019501f, 0.022247f, + 0.025696f, 0.029922f, 0.035187f, 0.041779f, 0.049683f, 0.059387f, 0.070801f, 0.084106f, + 0.100037f, 0.117798f, 0.544434f, 0.588867f, 0.597656f, 0.602539f, 0.604492f, 0.605469f, + 0.000123f, 0.000248f, 0.000443f, 0.000625f, 0.000663f, 0.000733f, 0.000843f, 0.000780f, + 0.000921f, 0.000986f, 0.001081f, 0.001178f, 0.001254f, 0.001348f, 0.001364f, 0.001515f, + 0.001565f, 0.001705f, 0.001824f, 0.001870f, 0.002066f, 0.002155f, 0.002274f, 0.002422f, + 0.002525f, 0.002695f, 0.002863f, 0.003038f, 0.003271f, 0.003441f, 0.003736f, 0.003901f, + 0.004112f, 0.004478f, 0.004719f, 0.005093f, 0.005482f, 0.005913f, 0.006413f, 0.007019f, + 0.007626f, 0.008408f, 0.009201f, 0.010201f, 0.011436f, 0.012749f, 0.014389f, 0.016373f, + 0.018906f, 0.022034f, 0.025909f, 0.031082f, 0.037628f, 0.045715f, 0.055939f, 0.068176f, + 0.082764f, 0.099365f, 0.529785f, 0.574707f, 0.584961f, 0.589844f, 0.591797f, 0.593750f, + 0.000210f, 0.000212f, 0.000365f, 0.000494f, 0.000438f, 0.000597f, 0.000538f, 0.000623f, + 0.000638f, 0.000736f, 0.000866f, 0.000882f, 0.000954f, 0.001040f, 0.001070f, 0.001086f, + 0.001220f, 0.001274f, 0.001341f, 0.001457f, 0.001513f, 0.001598f, 0.001697f, 0.001781f, + 0.001898f, 0.001970f, 0.002131f, 0.002241f, 0.002401f, 0.002645f, 0.002783f, 0.002892f, + 0.003120f, 0.003347f, 0.003508f, 0.003757f, 0.004032f, 0.004314f, 0.004688f, 0.005066f, + 0.005520f, 0.006012f, 0.006702f, 0.007332f, 0.008171f, 0.009140f, 0.010399f, 0.011787f, + 0.013496f, 0.015732f, 0.018509f, 0.022278f, 0.027267f, 0.033813f, 0.042328f, 0.053070f, + 0.066406f, 0.082825f, 0.516602f, 0.562500f, 0.573242f, 0.577637f, 0.580078f, 0.581543f, + 0.000000f, 0.000216f, 0.000281f, 0.000346f, 0.000374f, 0.000388f, 0.000491f, 0.000416f, + 0.000516f, 0.000535f, 0.000635f, 0.000625f, 0.000681f, 0.000719f, 0.000790f, 0.000813f, + 0.000879f, 0.000926f, 0.000968f, 0.001004f, 0.001097f, 0.001135f, 0.001229f, 0.001300f, + 0.001361f, 0.001431f, 0.001541f, 0.001610f, 0.001711f, 0.001802f, 0.001922f, 0.002094f, + 0.002169f, 0.002346f, 0.002468f, 0.002644f, 0.002844f, 0.003094f, 0.003368f, 0.003586f, + 0.003883f, 0.004223f, 0.004662f, 0.005093f, 0.005680f, 0.006348f, 0.007206f, 0.008202f, + 0.009392f, 0.010895f, 0.012939f, 0.015465f, 0.018906f, 0.023682f, 0.030502f, 0.039825f, + 0.051331f, 0.066528f, 0.500977f, 0.548828f, 0.560059f, 0.564453f, 0.567871f, 0.569336f, + 0.000000f, 0.000106f, 0.000201f, 0.000252f, 0.000251f, 0.000322f, 0.000281f, 0.000340f, + 0.000359f, 0.000428f, 0.000443f, 0.000419f, 0.000444f, 0.000500f, 0.000524f, 0.000590f, + 0.000574f, 0.000650f, 0.000693f, 0.000732f, 0.000778f, 0.000821f, 0.000848f, 0.000900f, + 0.000965f, 0.000982f, 0.001072f, 0.001109f, 0.001169f, 0.001307f, 0.001301f, 0.001409f, + 0.001483f, 0.001610f, 0.001734f, 0.001835f, 0.001940f, 0.002098f, 0.002241f, 0.002426f, + 0.002634f, 0.002865f, 0.003136f, 0.003431f, 0.003763f, 0.004211f, 0.004742f, 0.005417f, + 0.006229f, 0.007298f, 0.008621f, 0.010330f, 0.012650f, 0.015808f, 0.020569f, 0.027908f, + 0.037994f, 0.051514f, 0.485840f, 0.536133f, 0.547363f, 0.551758f, 0.554688f, 0.557617f, + 0.000026f, 0.000156f, 0.000201f, 0.000136f, 0.000188f, 0.000187f, 0.000192f, 0.000240f, + 0.000245f, 0.000254f, 0.000262f, 0.000311f, 0.000309f, 0.000331f, 0.000374f, 0.000385f, + 0.000411f, 0.000431f, 0.000443f, 0.000461f, 0.000507f, 0.000522f, 0.000562f, 0.000596f, + 0.000634f, 0.000684f, 0.000718f, 0.000735f, 0.000776f, 0.000815f, 0.000875f, 0.000927f, + 0.000982f, 0.001053f, 0.001123f, 0.001162f, 0.001271f, 0.001346f, 0.001473f, 0.001577f, + 0.001670f, 0.001838f, 0.002005f, 0.002161f, 0.002405f, 0.002670f, 0.002993f, 0.003399f, + 0.003860f, 0.004528f, 0.005386f, 0.006523f, 0.008003f, 0.010063f, 0.013206f, 0.017990f, + 0.026031f, 0.038086f, 0.471191f, 0.522949f, 0.534668f, 0.540039f, 0.543457f, 0.544922f, + 0.000000f, 0.000093f, 0.000084f, 0.000085f, 0.000124f, 0.000145f, 0.000122f, 0.000149f, + 0.000152f, 0.000152f, 0.000158f, 0.000167f, 0.000186f, 0.000209f, 0.000217f, 0.000225f, + 0.000231f, 0.000272f, 0.000273f, 0.000301f, 0.000303f, 0.000310f, 0.000338f, 0.000361f, + 0.000387f, 0.000423f, 0.000413f, 0.000436f, 0.000478f, 0.000503f, 0.000525f, 0.000570f, + 0.000608f, 0.000626f, 0.000677f, 0.000706f, 0.000753f, 0.000813f, 0.000884f, 0.000929f, + 0.001000f, 0.001094f, 0.001183f, 0.001302f, 0.001412f, 0.001563f, 0.001769f, 0.001974f, + 0.002277f, 0.002626f, 0.003124f, 0.003761f, 0.004665f, 0.005993f, 0.007935f, 0.010818f, + 0.016205f, 0.026138f, 0.456299f, 0.509277f, 0.520996f, 0.527344f, 0.530762f, 0.532715f, + 0.000105f, 0.000083f, 0.000072f, 0.000065f, 0.000071f, 0.000072f, 0.000077f, 0.000084f, + 0.000088f, 0.000093f, 0.000095f, 0.000120f, 0.000100f, 0.000108f, 0.000126f, 0.000118f, + 0.000139f, 0.000149f, 0.000153f, 0.000165f, 0.000169f, 0.000172f, 0.000194f, 0.000203f, + 0.000233f, 0.000225f, 0.000233f, 0.000253f, 0.000266f, 0.000275f, 0.000299f, 0.000319f, + 0.000338f, 0.000345f, 0.000374f, 0.000384f, 0.000415f, 0.000448f, 0.000483f, 0.000511f, + 0.000543f, 0.000585f, 0.000647f, 0.000692f, 0.000755f, 0.000827f, 0.000924f, 0.001041f, + 0.001186f, 0.001372f, 0.001608f, 0.001953f, 0.002411f, 0.003098f, 0.004238f, 0.005989f, + 0.009003f, 0.016006f, 0.441406f, 0.495361f, 0.508301f, 0.514160f, 0.518066f, 0.520508f, + 0.000090f, 0.000067f, 0.000058f, 0.000052f, 0.000047f, 0.000044f, 0.000044f, 0.000040f, + 0.000042f, 0.000049f, 0.000042f, 0.000045f, 0.000059f, 0.000047f, 0.000050f, 0.000054f, + 0.000071f, 0.000073f, 0.000075f, 0.000078f, 0.000079f, 0.000084f, 0.000087f, 0.000090f, + 0.000097f, 0.000109f, 0.000108f, 0.000124f, 0.000124f, 0.000131f, 0.000138f, 0.000143f, + 0.000155f, 0.000164f, 0.000178f, 0.000182f, 0.000192f, 0.000209f, 0.000225f, 0.000244f, + 0.000259f, 0.000274f, 0.000303f, 0.000321f, 0.000357f, 0.000385f, 0.000429f, 0.000470f, + 0.000537f, 0.000608f, 0.000710f, 0.000852f, 0.001052f, 0.001371f, 0.001877f, 0.002762f, + 0.004406f, 0.008202f, 0.426270f, 0.483154f, 0.495605f, 0.500977f, 0.505371f, 0.507324f, + 0.000067f, 0.000047f, 0.000039f, 0.000035f, 0.000032f, 0.000030f, 0.000029f, 0.000027f, + 0.000026f, 0.000025f, 0.000024f, 0.000023f, 0.000021f, 0.000020f, 0.000019f, 0.000021f, + 0.000020f, 0.000024f, 0.000028f, 0.000030f, 0.000029f, 0.000032f, 0.000035f, 0.000034f, + 0.000036f, 0.000044f, 0.000046f, 0.000040f, 0.000048f, 0.000047f, 0.000051f, 0.000053f, + 0.000059f, 0.000059f, 0.000064f, 0.000066f, 0.000077f, 0.000079f, 0.000081f, 0.000091f, + 0.000094f, 0.000100f, 0.000108f, 0.000119f, 0.000129f, 0.000137f, 0.000148f, 0.000173f, + 0.000191f, 0.000210f, 0.000249f, 0.000292f, 0.000357f, 0.000448f, 0.000629f, 0.000943f, + 0.001630f, 0.003332f, 0.411377f, 0.468506f, 0.482910f, 0.488770f, 0.492188f, 0.495117f, + 0.000025f, 0.000018f, 0.000015f, 0.000013f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, + 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, + 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, + 0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000010f, 0.000010f, 0.000010f, + 0.000012f, 0.000014f, 0.000014f, 0.000014f, 0.000016f, 0.000018f, 0.000019f, 0.000021f, + 0.000020f, 0.000023f, 0.000025f, 0.000027f, 0.000027f, 0.000029f, 0.000035f, 0.000033f, + 0.000040f, 0.000044f, 0.000052f, 0.000061f, 0.000069f, 0.000087f, 0.000117f, 0.000174f, + 0.000319f, 0.000847f, 0.395996f, 0.454834f, 0.468750f, 0.475586f, 0.479004f, 0.481689f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, + 0.000009f, 0.000027f, 0.381348f, 0.441406f, 0.455566f, 0.462891f, 0.466309f, 0.468994f, + }, + { + 0.016769f, 0.050629f, 0.083740f, 0.116638f, 0.148071f, 0.178955f, 0.208374f, 0.236938f, + 0.265137f, 0.291992f, 0.317871f, 0.343994f, 0.368164f, 0.391846f, 0.415527f, 0.437988f, + 0.459717f, 0.480469f, 0.501465f, 0.520996f, 0.540527f, 0.559082f, 0.577637f, 0.594727f, + 0.612305f, 0.628418f, 0.644531f, 0.661133f, 0.676270f, 0.691406f, 0.705566f, 0.719727f, + 0.734375f, 0.747070f, 0.760254f, 0.773438f, 0.786133f, 0.798828f, 0.810059f, 0.821777f, + 0.833008f, 0.843262f, 0.854492f, 0.865234f, 0.875488f, 0.885254f, 0.895508f, 0.904297f, + 0.913574f, 0.923340f, 0.932617f, 0.940918f, 0.949707f, 0.958008f, 0.966309f, 0.974609f, + 0.981934f, 0.990234f, 0.985352f, 0.965332f, 0.950195f, 0.937500f, 0.926270f, 0.915527f, + 0.015083f, 0.045929f, 0.075806f, 0.105408f, 0.135254f, 0.163208f, 0.191772f, 0.219238f, + 0.245239f, 0.271973f, 0.297363f, 0.321045f, 0.345947f, 0.369141f, 0.391846f, 0.414062f, + 0.435791f, 0.456787f, 0.477295f, 0.497314f, 0.516113f, 0.535645f, 0.554199f, 0.571777f, + 0.588867f, 0.606445f, 0.623047f, 0.639160f, 0.654785f, 0.669434f, 0.685059f, 0.699219f, + 0.713379f, 0.728027f, 0.741211f, 0.754883f, 0.767578f, 0.780273f, 0.792480f, 0.804688f, + 0.815918f, 0.826660f, 0.838867f, 0.850098f, 0.859863f, 0.871094f, 0.880859f, 0.891113f, + 0.900879f, 0.909180f, 0.919434f, 0.929688f, 0.937500f, 0.946289f, 0.954590f, 0.963379f, + 0.971191f, 0.979004f, 0.980469f, 0.961426f, 0.947266f, 0.935059f, 0.924316f, 0.914062f, + 0.013573f, 0.040955f, 0.068848f, 0.096313f, 0.123169f, 0.150635f, 0.175537f, 0.202026f, + 0.228271f, 0.251709f, 0.276367f, 0.300781f, 0.323730f, 0.347168f, 0.369385f, 0.390625f, + 0.412354f, 0.433594f, 0.454346f, 0.473145f, 0.491943f, 0.512207f, 0.529785f, 0.549316f, + 0.566406f, 0.583008f, 0.600586f, 0.616211f, 0.633301f, 0.648438f, 0.663574f, 0.679199f, + 0.693359f, 0.708008f, 0.721680f, 0.735840f, 0.748535f, 0.762207f, 0.773926f, 0.786621f, + 0.798340f, 0.811035f, 0.822754f, 0.833984f, 0.845215f, 0.855957f, 0.865723f, 0.876465f, + 0.886719f, 0.895508f, 0.906738f, 0.916016f, 0.925293f, 0.934570f, 0.943848f, 0.952148f, + 0.960449f, 0.969238f, 0.976074f, 0.958008f, 0.944336f, 0.932617f, 0.921875f, 0.912109f, + 0.012329f, 0.037201f, 0.062164f, 0.087646f, 0.112488f, 0.137451f, 0.161865f, 0.187134f, + 0.210938f, 0.234253f, 0.258301f, 0.281006f, 0.303467f, 0.325195f, 0.347656f, 0.368652f, + 0.389648f, 0.410400f, 0.430664f, 0.450928f, 0.470215f, 0.488770f, 0.507812f, 0.525391f, + 0.543457f, 0.560059f, 0.579102f, 0.593750f, 0.611816f, 0.627441f, 0.643066f, 0.658203f, + 0.672363f, 0.687500f, 0.702148f, 0.715820f, 0.729004f, 0.742676f, 0.755371f, 0.768066f, + 0.781738f, 0.792969f, 0.805176f, 0.816895f, 0.829102f, 0.839844f, 0.850586f, 0.861816f, + 0.872559f, 0.882812f, 0.893066f, 0.902832f, 0.912109f, 0.921875f, 0.930664f, 0.940430f, + 0.948242f, 0.958008f, 0.970703f, 0.953613f, 0.940430f, 0.929199f, 0.919434f, 0.910156f, + 0.010979f, 0.033752f, 0.056763f, 0.080139f, 0.103516f, 0.126221f, 0.149414f, 0.172485f, + 0.195435f, 0.218262f, 0.240356f, 0.261719f, 0.284180f, 0.306396f, 0.326416f, 0.347900f, + 0.368408f, 0.389160f, 0.408691f, 0.427979f, 0.447754f, 0.467041f, 0.484863f, 0.502441f, + 0.520996f, 0.538086f, 0.555664f, 0.573242f, 0.589355f, 0.604980f, 0.622559f, 0.637207f, + 0.652832f, 0.666992f, 0.680664f, 0.695801f, 0.710938f, 0.724121f, 0.737305f, 0.750977f, + 0.763672f, 0.776855f, 0.789062f, 0.799805f, 0.812012f, 0.824219f, 0.835449f, 0.846680f, + 0.857910f, 0.868164f, 0.878418f, 0.889160f, 0.898926f, 0.909180f, 0.917969f, 0.928223f, + 0.937012f, 0.946777f, 0.965820f, 0.949707f, 0.937012f, 0.926270f, 0.916504f, 0.907715f, + 0.009941f, 0.030746f, 0.051514f, 0.073181f, 0.094116f, 0.116028f, 0.137817f, 0.158691f, + 0.180664f, 0.202637f, 0.223511f, 0.244873f, 0.265869f, 0.285889f, 0.307129f, 0.327881f, + 0.347412f, 0.367188f, 0.387207f, 0.405762f, 0.425537f, 0.444092f, 0.462646f, 0.481201f, + 0.499756f, 0.516602f, 0.533691f, 0.550781f, 0.567383f, 0.583984f, 0.599609f, 0.616211f, + 0.630859f, 0.647461f, 0.661621f, 0.676758f, 0.689453f, 0.704590f, 0.718750f, 0.731934f, + 0.745117f, 0.757812f, 0.770996f, 0.783691f, 0.796387f, 0.807617f, 0.819824f, 0.831543f, + 0.842773f, 0.854004f, 0.864258f, 0.875488f, 0.885742f, 0.895508f, 0.905762f, 0.915527f, + 0.925781f, 0.934570f, 0.960449f, 0.945312f, 0.933594f, 0.922852f, 0.913574f, 0.905273f, + 0.009003f, 0.027756f, 0.046997f, 0.066711f, 0.085999f, 0.106506f, 0.127075f, 0.146973f, + 0.166992f, 0.187500f, 0.207886f, 0.228149f, 0.248169f, 0.268311f, 0.287842f, 0.307861f, + 0.327393f, 0.347656f, 0.365967f, 0.385010f, 0.404541f, 0.422363f, 0.441162f, 0.458740f, + 0.477783f, 0.495117f, 0.512207f, 0.529297f, 0.546387f, 0.562012f, 0.578613f, 0.595215f, + 0.610840f, 0.625977f, 0.641113f, 0.656738f, 0.670410f, 0.685059f, 0.699707f, 0.714355f, + 0.727051f, 0.741699f, 0.752441f, 0.767090f, 0.778809f, 0.791504f, 0.803711f, 0.815430f, + 0.827148f, 0.838867f, 0.850098f, 0.860840f, 0.872070f, 0.881836f, 0.893066f, 0.903809f, + 0.913574f, 0.923828f, 0.955078f, 0.940918f, 0.929199f, 0.919922f, 0.911133f, 0.902344f, + 0.008469f, 0.025375f, 0.043121f, 0.060944f, 0.079468f, 0.097961f, 0.116394f, 0.135620f, + 0.154541f, 0.174072f, 0.193115f, 0.212280f, 0.231689f, 0.250732f, 0.270264f, 0.289307f, + 0.307861f, 0.327148f, 0.345215f, 0.364990f, 0.382812f, 0.401123f, 0.418945f, 0.437012f, + 0.455811f, 0.472900f, 0.490234f, 0.507812f, 0.524414f, 0.541016f, 0.558105f, 0.573242f, + 0.590332f, 0.605469f, 0.620117f, 0.636230f, 0.651367f, 0.665039f, 0.679688f, 0.694336f, + 0.708496f, 0.722168f, 0.735840f, 0.750000f, 0.762695f, 0.774902f, 0.787598f, 0.798828f, + 0.811523f, 0.823730f, 0.834473f, 0.846191f, 0.857910f, 0.868652f, 0.879883f, 0.891113f, + 0.900391f, 0.911133f, 0.949219f, 0.937012f, 0.925293f, 0.916016f, 0.907227f, 0.899414f, + 0.007618f, 0.023178f, 0.039490f, 0.055542f, 0.072937f, 0.090271f, 0.107605f, 0.125122f, + 0.142944f, 0.160889f, 0.178955f, 0.197510f, 0.216553f, 0.234497f, 0.252686f, 0.271240f, + 0.289795f, 0.307861f, 0.326172f, 0.344238f, 0.362549f, 0.380859f, 0.398438f, 0.416504f, + 0.433838f, 0.452393f, 0.468994f, 0.485840f, 0.502930f, 0.519531f, 0.536133f, 0.553223f, + 0.569336f, 0.584473f, 0.599609f, 0.615234f, 0.631348f, 0.646484f, 0.659668f, 0.675293f, + 0.689941f, 0.703125f, 0.716797f, 0.730957f, 0.744141f, 0.756836f, 0.771484f, 0.782227f, + 0.795898f, 0.807617f, 0.819824f, 0.831543f, 0.843750f, 0.854980f, 0.866211f, 0.877441f, + 0.888672f, 0.898438f, 0.943359f, 0.931641f, 0.921387f, 0.912109f, 0.903809f, 0.896484f, + 0.007118f, 0.021255f, 0.035889f, 0.051514f, 0.066895f, 0.083191f, 0.098999f, 0.115540f, + 0.132324f, 0.149292f, 0.166260f, 0.183716f, 0.200928f, 0.218628f, 0.236084f, 0.253906f, + 0.272217f, 0.289795f, 0.307617f, 0.325439f, 0.342529f, 0.360596f, 0.378906f, 0.395996f, + 0.413330f, 0.430908f, 0.447510f, 0.465332f, 0.481934f, 0.497803f, 0.514648f, 0.531738f, + 0.547852f, 0.562988f, 0.579102f, 0.595215f, 0.610840f, 0.625977f, 0.641113f, 0.655273f, + 0.670410f, 0.685059f, 0.698730f, 0.712891f, 0.726074f, 0.739258f, 0.753418f, 0.766113f, + 0.779785f, 0.791992f, 0.803711f, 0.816406f, 0.829102f, 0.839844f, 0.852539f, 0.863770f, + 0.874512f, 0.886719f, 0.937988f, 0.926758f, 0.917480f, 0.908203f, 0.900391f, 0.893066f, + 0.006481f, 0.019775f, 0.032928f, 0.047272f, 0.061371f, 0.076233f, 0.091064f, 0.107117f, + 0.122559f, 0.138062f, 0.154663f, 0.170532f, 0.187256f, 0.204346f, 0.220947f, 0.237915f, + 0.254883f, 0.272217f, 0.289062f, 0.306641f, 0.323730f, 0.341064f, 0.358643f, 0.375732f, + 0.393555f, 0.410645f, 0.426758f, 0.444580f, 0.461182f, 0.477783f, 0.494141f, 0.510254f, + 0.526855f, 0.543457f, 0.559082f, 0.574219f, 0.590332f, 0.605957f, 0.621094f, 0.634766f, + 0.650879f, 0.665039f, 0.679688f, 0.694824f, 0.708008f, 0.722656f, 0.736816f, 0.749023f, + 0.762695f, 0.775391f, 0.788086f, 0.801270f, 0.813965f, 0.826172f, 0.838379f, 0.849121f, + 0.861328f, 0.873535f, 0.932129f, 0.921875f, 0.912598f, 0.904297f, 0.896484f, 0.889160f, + 0.005924f, 0.017899f, 0.030426f, 0.043427f, 0.056824f, 0.070435f, 0.084106f, 0.098755f, + 0.112976f, 0.128052f, 0.143311f, 0.158936f, 0.174072f, 0.189575f, 0.206421f, 0.222534f, + 0.238403f, 0.255615f, 0.271729f, 0.288818f, 0.305908f, 0.322021f, 0.339355f, 0.356445f, + 0.373291f, 0.390137f, 0.407227f, 0.423584f, 0.440430f, 0.457031f, 0.472900f, 0.489502f, + 0.506836f, 0.521973f, 0.538574f, 0.554688f, 0.570312f, 0.585449f, 0.601074f, 0.616211f, + 0.631348f, 0.646484f, 0.661621f, 0.675781f, 0.690430f, 0.704590f, 0.717285f, 0.731934f, + 0.746094f, 0.759277f, 0.771973f, 0.785156f, 0.798340f, 0.810547f, 0.823242f, 0.835938f, + 0.848145f, 0.860352f, 0.925781f, 0.916504f, 0.908203f, 0.900391f, 0.893066f, 0.886719f, + 0.005573f, 0.016693f, 0.028366f, 0.040192f, 0.052277f, 0.064880f, 0.078064f, 0.090698f, + 0.105042f, 0.118591f, 0.133057f, 0.147461f, 0.162231f, 0.177612f, 0.192383f, 0.207886f, + 0.223633f, 0.239502f, 0.255615f, 0.272217f, 0.288330f, 0.304932f, 0.320312f, 0.337646f, + 0.354004f, 0.369873f, 0.386719f, 0.403320f, 0.419922f, 0.437012f, 0.453369f, 0.469482f, + 0.485596f, 0.501465f, 0.517578f, 0.534180f, 0.549316f, 0.565918f, 0.581055f, 0.595703f, + 0.611328f, 0.626953f, 0.641602f, 0.657227f, 0.671387f, 0.686523f, 0.699707f, 0.714355f, + 0.729004f, 0.742676f, 0.756348f, 0.769043f, 0.782715f, 0.795410f, 0.809082f, 0.821289f, + 0.833984f, 0.846680f, 0.919434f, 0.911133f, 0.903320f, 0.895508f, 0.888672f, 0.882324f, + 0.005016f, 0.015396f, 0.026169f, 0.037231f, 0.048126f, 0.059937f, 0.071716f, 0.084167f, + 0.096680f, 0.109558f, 0.123169f, 0.136719f, 0.150269f, 0.164917f, 0.179077f, 0.194580f, + 0.208984f, 0.223877f, 0.239746f, 0.255127f, 0.270996f, 0.286377f, 0.302490f, 0.319336f, + 0.335205f, 0.351318f, 0.367432f, 0.383545f, 0.399902f, 0.415771f, 0.432373f, 0.448975f, + 0.465088f, 0.481934f, 0.497314f, 0.513672f, 0.529785f, 0.544434f, 0.561035f, 0.576660f, + 0.592285f, 0.607422f, 0.622559f, 0.638184f, 0.652344f, 0.667480f, 0.681641f, 0.696777f, + 0.711426f, 0.725586f, 0.738770f, 0.753418f, 0.766602f, 0.779297f, 0.793945f, 0.807129f, + 0.819824f, 0.833008f, 0.913086f, 0.906738f, 0.898438f, 0.890625f, 0.884277f, 0.878418f, + 0.004738f, 0.014053f, 0.024017f, 0.033752f, 0.044495f, 0.055328f, 0.066467f, 0.078064f, + 0.089661f, 0.102051f, 0.114258f, 0.126831f, 0.139771f, 0.153564f, 0.167114f, 0.181030f, + 0.195190f, 0.209839f, 0.224731f, 0.239136f, 0.253906f, 0.269531f, 0.285156f, 0.300293f, + 0.317139f, 0.332520f, 0.348145f, 0.364990f, 0.380859f, 0.396240f, 0.412109f, 0.428711f, + 0.444336f, 0.460938f, 0.477295f, 0.492676f, 0.509277f, 0.524902f, 0.540527f, 0.556641f, + 0.572266f, 0.587402f, 0.604004f, 0.618164f, 0.633301f, 0.648438f, 0.664062f, 0.678223f, + 0.693359f, 0.708008f, 0.722656f, 0.736328f, 0.750000f, 0.764160f, 0.777832f, 0.791016f, + 0.805176f, 0.817871f, 0.907227f, 0.900879f, 0.894043f, 0.886719f, 0.880371f, 0.874512f, + 0.004105f, 0.012741f, 0.022491f, 0.031769f, 0.041107f, 0.051208f, 0.061249f, 0.071777f, + 0.083069f, 0.093811f, 0.105896f, 0.117554f, 0.129761f, 0.142212f, 0.155273f, 0.168579f, + 0.182251f, 0.196167f, 0.210449f, 0.223755f, 0.238525f, 0.253662f, 0.268799f, 0.283447f, + 0.298828f, 0.313965f, 0.329834f, 0.344971f, 0.361328f, 0.376953f, 0.393066f, 0.408691f, + 0.424561f, 0.441406f, 0.457031f, 0.472656f, 0.488770f, 0.504883f, 0.520996f, 0.536133f, + 0.551758f, 0.567871f, 0.583496f, 0.599121f, 0.614258f, 0.629395f, 0.645996f, 0.660156f, + 0.675781f, 0.689453f, 0.704102f, 0.719727f, 0.733398f, 0.747559f, 0.761719f, 0.776367f, + 0.789062f, 0.803223f, 0.899902f, 0.895020f, 0.888184f, 0.881836f, 0.875488f, 0.870117f, + 0.003925f, 0.011978f, 0.020538f, 0.028763f, 0.038269f, 0.047028f, 0.056732f, 0.066223f, + 0.076904f, 0.086731f, 0.097900f, 0.109314f, 0.120483f, 0.132324f, 0.144653f, 0.156982f, + 0.169678f, 0.183228f, 0.196289f, 0.209961f, 0.223633f, 0.237427f, 0.251953f, 0.266602f, + 0.281982f, 0.296875f, 0.312012f, 0.326660f, 0.342041f, 0.357910f, 0.373779f, 0.389404f, + 0.404785f, 0.420166f, 0.436768f, 0.452637f, 0.468506f, 0.484863f, 0.500977f, 0.516602f, + 0.531738f, 0.546875f, 0.563965f, 0.579102f, 0.595215f, 0.610840f, 0.625977f, 0.641602f, + 0.657227f, 0.671387f, 0.687500f, 0.702148f, 0.716309f, 0.731445f, 0.746094f, 0.760742f, + 0.774414f, 0.788086f, 0.893066f, 0.889648f, 0.882812f, 0.876953f, 0.870605f, 0.865723f, + 0.003704f, 0.011169f, 0.019165f, 0.026550f, 0.035339f, 0.043488f, 0.052277f, 0.061066f, + 0.071045f, 0.080933f, 0.090576f, 0.101074f, 0.111877f, 0.122925f, 0.134277f, 0.146118f, + 0.157837f, 0.170288f, 0.183105f, 0.195557f, 0.209351f, 0.222900f, 0.236328f, 0.250732f, + 0.264893f, 0.279297f, 0.294189f, 0.308838f, 0.323975f, 0.339844f, 0.354736f, 0.370117f, + 0.385986f, 0.401367f, 0.416504f, 0.432861f, 0.448486f, 0.463867f, 0.480469f, 0.497070f, + 0.511719f, 0.527832f, 0.544434f, 0.559570f, 0.575684f, 0.591797f, 0.606934f, 0.623047f, + 0.638184f, 0.654297f, 0.668945f, 0.684570f, 0.699219f, 0.714355f, 0.729492f, 0.744629f, + 0.758789f, 0.773926f, 0.886230f, 0.883301f, 0.877441f, 0.871582f, 0.866211f, 0.860840f, + 0.003500f, 0.010292f, 0.017395f, 0.024963f, 0.032440f, 0.040344f, 0.048462f, 0.057098f, + 0.065063f, 0.074646f, 0.083679f, 0.093445f, 0.103882f, 0.114136f, 0.124451f, 0.135498f, + 0.146606f, 0.158447f, 0.170410f, 0.182739f, 0.195435f, 0.208008f, 0.221558f, 0.234863f, + 0.248657f, 0.262695f, 0.276855f, 0.291748f, 0.306152f, 0.320801f, 0.335693f, 0.350830f, + 0.365967f, 0.382080f, 0.396973f, 0.413330f, 0.429199f, 0.444336f, 0.459473f, 0.476074f, + 0.492188f, 0.507812f, 0.524414f, 0.540039f, 0.555664f, 0.571777f, 0.586914f, 0.604004f, + 0.619629f, 0.635742f, 0.650391f, 0.666504f, 0.682129f, 0.697754f, 0.712891f, 0.728027f, + 0.743164f, 0.758301f, 0.878906f, 0.877441f, 0.871582f, 0.866699f, 0.860840f, 0.856445f, + 0.003084f, 0.009697f, 0.016403f, 0.022659f, 0.029892f, 0.037354f, 0.044281f, 0.052338f, + 0.060516f, 0.068970f, 0.077515f, 0.086243f, 0.096069f, 0.105713f, 0.115356f, 0.125610f, + 0.136353f, 0.147339f, 0.158081f, 0.170410f, 0.181396f, 0.194458f, 0.207275f, 0.219482f, + 0.232910f, 0.246704f, 0.260010f, 0.274170f, 0.288330f, 0.302979f, 0.317383f, 0.332764f, + 0.347656f, 0.363037f, 0.378174f, 0.392578f, 0.408936f, 0.424316f, 0.440430f, 0.456299f, + 0.472656f, 0.488525f, 0.503906f, 0.519531f, 0.535645f, 0.552734f, 0.568359f, 0.584961f, + 0.600586f, 0.616699f, 0.633301f, 0.648438f, 0.663574f, 0.679199f, 0.694824f, 0.710938f, + 0.726074f, 0.742188f, 0.872559f, 0.870605f, 0.865723f, 0.860840f, 0.855957f, 0.851074f, + 0.002913f, 0.008781f, 0.014938f, 0.021759f, 0.027878f, 0.034393f, 0.041412f, 0.048737f, + 0.055969f, 0.063599f, 0.072021f, 0.080200f, 0.088928f, 0.097839f, 0.106934f, 0.116150f, + 0.126587f, 0.136353f, 0.147095f, 0.157715f, 0.169189f, 0.181519f, 0.193481f, 0.205933f, + 0.217773f, 0.231323f, 0.244629f, 0.257812f, 0.271240f, 0.285400f, 0.299561f, 0.314453f, + 0.329590f, 0.343506f, 0.358887f, 0.373779f, 0.389648f, 0.405029f, 0.420410f, 0.437012f, + 0.452393f, 0.468262f, 0.484375f, 0.500000f, 0.516113f, 0.532227f, 0.548828f, 0.564941f, + 0.581055f, 0.597168f, 0.612793f, 0.629883f, 0.645508f, 0.662109f, 0.678223f, 0.694336f, + 0.709473f, 0.726074f, 0.863770f, 0.864258f, 0.859863f, 0.854980f, 0.850586f, 0.846191f, + 0.002815f, 0.008194f, 0.013954f, 0.019653f, 0.025696f, 0.031982f, 0.038177f, 0.044830f, + 0.051819f, 0.058502f, 0.066162f, 0.073792f, 0.082031f, 0.090393f, 0.098999f, 0.107605f, + 0.117493f, 0.126709f, 0.137207f, 0.146729f, 0.157593f, 0.168579f, 0.179810f, 0.191772f, + 0.203369f, 0.215820f, 0.228882f, 0.241455f, 0.254395f, 0.268311f, 0.282227f, 0.296631f, + 0.310303f, 0.325439f, 0.339844f, 0.354736f, 0.370361f, 0.385742f, 0.400879f, 0.416504f, + 0.432617f, 0.448486f, 0.464355f, 0.479980f, 0.496094f, 0.513184f, 0.528809f, 0.545410f, + 0.561035f, 0.578613f, 0.594727f, 0.611328f, 0.626953f, 0.643555f, 0.660156f, 0.676270f, + 0.693359f, 0.709473f, 0.856445f, 0.858398f, 0.854492f, 0.849121f, 0.845215f, 0.841309f, + 0.002583f, 0.007492f, 0.012878f, 0.018417f, 0.023941f, 0.029495f, 0.035339f, 0.041779f, + 0.047577f, 0.054047f, 0.061523f, 0.068787f, 0.075562f, 0.083313f, 0.091858f, 0.099792f, + 0.108521f, 0.117615f, 0.126709f, 0.136108f, 0.146851f, 0.156860f, 0.166992f, 0.178345f, + 0.189819f, 0.202148f, 0.213623f, 0.225830f, 0.238892f, 0.252197f, 0.265137f, 0.278809f, + 0.292480f, 0.306885f, 0.321045f, 0.336914f, 0.350830f, 0.366943f, 0.381348f, 0.396240f, + 0.412354f, 0.428223f, 0.444336f, 0.460449f, 0.476318f, 0.493408f, 0.509277f, 0.525879f, + 0.542480f, 0.559082f, 0.574707f, 0.591797f, 0.608398f, 0.625488f, 0.642090f, 0.659180f, + 0.675781f, 0.691406f, 0.848145f, 0.851562f, 0.848145f, 0.843750f, 0.838867f, 0.835449f, + 0.002512f, 0.007374f, 0.012115f, 0.016983f, 0.022064f, 0.027359f, 0.032715f, 0.038147f, + 0.044373f, 0.050354f, 0.056641f, 0.063293f, 0.070190f, 0.077026f, 0.084717f, 0.092041f, + 0.100342f, 0.108398f, 0.117554f, 0.126221f, 0.135742f, 0.145142f, 0.155151f, 0.165771f, + 0.176758f, 0.187988f, 0.199341f, 0.210815f, 0.223389f, 0.236206f, 0.249023f, 0.261719f, + 0.275879f, 0.289062f, 0.303467f, 0.317627f, 0.332520f, 0.347412f, 0.361816f, 0.377197f, + 0.393066f, 0.407959f, 0.424072f, 0.440186f, 0.457031f, 0.473145f, 0.489502f, 0.505859f, + 0.522461f, 0.540039f, 0.555664f, 0.572754f, 0.589844f, 0.606445f, 0.623535f, 0.640625f, + 0.658203f, 0.675781f, 0.840820f, 0.843750f, 0.841309f, 0.836914f, 0.833984f, 0.830566f, + 0.002369f, 0.006668f, 0.011093f, 0.015778f, 0.020523f, 0.025223f, 0.030701f, 0.035339f, + 0.040710f, 0.046600f, 0.051971f, 0.058075f, 0.064819f, 0.071228f, 0.077942f, 0.085205f, + 0.092224f, 0.100464f, 0.108398f, 0.116882f, 0.125610f, 0.134155f, 0.143555f, 0.153564f, + 0.164062f, 0.174316f, 0.185303f, 0.196899f, 0.208496f, 0.220093f, 0.232666f, 0.245239f, + 0.258057f, 0.271729f, 0.285645f, 0.299561f, 0.313721f, 0.328613f, 0.342773f, 0.358154f, + 0.373535f, 0.388916f, 0.405518f, 0.419922f, 0.437012f, 0.453125f, 0.469238f, 0.486328f, + 0.502930f, 0.519531f, 0.536133f, 0.553223f, 0.571289f, 0.588379f, 0.605469f, 0.623047f, + 0.640137f, 0.656250f, 0.833008f, 0.837402f, 0.834473f, 0.831055f, 0.827637f, 0.824219f, + 0.002188f, 0.006027f, 0.010582f, 0.014297f, 0.018921f, 0.023270f, 0.028183f, 0.032593f, + 0.037781f, 0.042999f, 0.048584f, 0.053650f, 0.059601f, 0.065369f, 0.071899f, 0.078369f, + 0.085449f, 0.092407f, 0.099609f, 0.107788f, 0.115601f, 0.124451f, 0.133301f, 0.142212f, + 0.151978f, 0.161865f, 0.172363f, 0.182617f, 0.193970f, 0.205566f, 0.217407f, 0.229858f, + 0.241943f, 0.254639f, 0.268311f, 0.281494f, 0.295654f, 0.310059f, 0.324219f, 0.339600f, + 0.353760f, 0.369629f, 0.385010f, 0.400879f, 0.417725f, 0.433594f, 0.449219f, 0.465820f, + 0.482910f, 0.499512f, 0.517090f, 0.534180f, 0.551270f, 0.568848f, 0.586426f, 0.604004f, + 0.622559f, 0.639160f, 0.824219f, 0.830078f, 0.827637f, 0.824707f, 0.821777f, 0.818359f, + 0.002098f, 0.005634f, 0.009354f, 0.013557f, 0.017685f, 0.021576f, 0.025604f, 0.030380f, + 0.034943f, 0.039429f, 0.044281f, 0.049255f, 0.055023f, 0.060577f, 0.066101f, 0.072144f, + 0.078491f, 0.085083f, 0.091858f, 0.098999f, 0.106873f, 0.114502f, 0.122498f, 0.131592f, + 0.140137f, 0.149536f, 0.159424f, 0.169556f, 0.180054f, 0.191162f, 0.202026f, 0.213989f, + 0.226318f, 0.239136f, 0.250977f, 0.264648f, 0.278320f, 0.291748f, 0.305908f, 0.320557f, + 0.334961f, 0.350342f, 0.365479f, 0.381592f, 0.397461f, 0.413818f, 0.429199f, 0.446289f, + 0.462891f, 0.479736f, 0.496338f, 0.514160f, 0.530762f, 0.548828f, 0.566406f, 0.584473f, + 0.602539f, 0.621582f, 0.815918f, 0.823730f, 0.821289f, 0.817871f, 0.815430f, 0.812500f, + 0.001772f, 0.005249f, 0.008995f, 0.012260f, 0.016251f, 0.020020f, 0.024216f, 0.027603f, + 0.032196f, 0.036377f, 0.041199f, 0.045410f, 0.050110f, 0.055603f, 0.061005f, 0.066406f, + 0.072327f, 0.077820f, 0.084290f, 0.090942f, 0.098083f, 0.105164f, 0.113037f, 0.120789f, + 0.129272f, 0.138062f, 0.147339f, 0.156982f, 0.166626f, 0.176758f, 0.187866f, 0.199097f, + 0.210449f, 0.222412f, 0.234985f, 0.247559f, 0.260742f, 0.273682f, 0.287598f, 0.302002f, + 0.316650f, 0.331299f, 0.346191f, 0.362061f, 0.377686f, 0.393066f, 0.409668f, 0.426514f, + 0.443115f, 0.459717f, 0.476807f, 0.494629f, 0.511230f, 0.529785f, 0.547852f, 0.565430f, + 0.583984f, 0.602539f, 0.806152f, 0.814453f, 0.813965f, 0.811035f, 0.809082f, 0.806641f, + 0.001631f, 0.005131f, 0.008186f, 0.011673f, 0.014938f, 0.018463f, 0.021957f, 0.025635f, + 0.029083f, 0.033325f, 0.037445f, 0.041840f, 0.046478f, 0.050751f, 0.055634f, 0.060760f, + 0.065979f, 0.071472f, 0.077515f, 0.083801f, 0.090027f, 0.096802f, 0.104065f, 0.110840f, + 0.119080f, 0.127197f, 0.135498f, 0.144775f, 0.153931f, 0.163574f, 0.173462f, 0.184570f, + 0.195312f, 0.207153f, 0.218506f, 0.230591f, 0.243652f, 0.256348f, 0.270020f, 0.283691f, + 0.297852f, 0.312744f, 0.326904f, 0.342529f, 0.357910f, 0.373535f, 0.389404f, 0.406494f, + 0.421875f, 0.439941f, 0.457275f, 0.474365f, 0.492432f, 0.509766f, 0.527832f, 0.546875f, + 0.564941f, 0.584473f, 0.797852f, 0.807129f, 0.807129f, 0.804199f, 0.801758f, 0.799316f, + 0.001632f, 0.004704f, 0.007912f, 0.010788f, 0.013870f, 0.017105f, 0.020187f, 0.023483f, + 0.026932f, 0.030563f, 0.034332f, 0.038086f, 0.042694f, 0.046631f, 0.050995f, 0.055725f, + 0.060486f, 0.065674f, 0.070862f, 0.076721f, 0.082825f, 0.088623f, 0.094910f, 0.102112f, + 0.109070f, 0.116516f, 0.124695f, 0.133057f, 0.141968f, 0.151001f, 0.160522f, 0.170776f, + 0.181030f, 0.191650f, 0.202881f, 0.214722f, 0.227417f, 0.239624f, 0.252686f, 0.265625f, + 0.279785f, 0.293213f, 0.308350f, 0.323242f, 0.338867f, 0.354248f, 0.370117f, 0.386475f, + 0.403076f, 0.420410f, 0.437012f, 0.454102f, 0.471924f, 0.490234f, 0.508789f, 0.526855f, + 0.545410f, 0.564453f, 0.788086f, 0.799316f, 0.798828f, 0.797852f, 0.794434f, 0.791992f, + 0.001594f, 0.004177f, 0.007122f, 0.010201f, 0.012344f, 0.015839f, 0.018372f, 0.021683f, + 0.024857f, 0.028534f, 0.031464f, 0.035034f, 0.038879f, 0.042572f, 0.046295f, 0.051056f, + 0.055389f, 0.059723f, 0.064697f, 0.069763f, 0.075073f, 0.080750f, 0.087219f, 0.093445f, + 0.099548f, 0.107056f, 0.114136f, 0.121887f, 0.130249f, 0.138794f, 0.147217f, 0.157104f, + 0.166748f, 0.177124f, 0.187988f, 0.199097f, 0.210693f, 0.222778f, 0.235352f, 0.248169f, + 0.261719f, 0.275635f, 0.289062f, 0.303955f, 0.319336f, 0.334717f, 0.350098f, 0.365479f, + 0.382324f, 0.398926f, 0.416016f, 0.433594f, 0.451904f, 0.469238f, 0.487549f, 0.506348f, + 0.525391f, 0.544922f, 0.779297f, 0.791504f, 0.791504f, 0.789551f, 0.788086f, 0.786133f, + 0.001365f, 0.004173f, 0.006222f, 0.008842f, 0.011703f, 0.014366f, 0.017242f, 0.020218f, + 0.022903f, 0.025787f, 0.028824f, 0.032227f, 0.035522f, 0.038818f, 0.042511f, 0.046326f, + 0.050507f, 0.054657f, 0.058594f, 0.063660f, 0.068359f, 0.073914f, 0.078918f, 0.085083f, + 0.091125f, 0.097534f, 0.104126f, 0.111511f, 0.118896f, 0.126831f, 0.135742f, 0.144043f, + 0.153564f, 0.163330f, 0.173462f, 0.184082f, 0.195068f, 0.206787f, 0.218628f, 0.231079f, + 0.243896f, 0.257080f, 0.270996f, 0.285645f, 0.300049f, 0.314941f, 0.330322f, 0.346191f, + 0.362305f, 0.379395f, 0.395508f, 0.412842f, 0.431641f, 0.448975f, 0.468262f, 0.487549f, + 0.505371f, 0.525391f, 0.769531f, 0.783691f, 0.783691f, 0.782715f, 0.781250f, 0.778809f, + 0.001230f, 0.003925f, 0.006268f, 0.008659f, 0.010796f, 0.013145f, 0.015617f, 0.018234f, + 0.021133f, 0.023682f, 0.026215f, 0.029251f, 0.032349f, 0.035400f, 0.038696f, 0.042206f, + 0.045807f, 0.049377f, 0.053925f, 0.057953f, 0.062500f, 0.067078f, 0.071777f, 0.077271f, + 0.082703f, 0.088806f, 0.094910f, 0.101379f, 0.109192f, 0.115967f, 0.123779f, 0.131470f, + 0.140259f, 0.149536f, 0.159302f, 0.169312f, 0.180054f, 0.190674f, 0.202515f, 0.214722f, + 0.226562f, 0.239624f, 0.253174f, 0.266602f, 0.281738f, 0.295898f, 0.311035f, 0.326904f, + 0.342529f, 0.359131f, 0.375732f, 0.393066f, 0.410400f, 0.428467f, 0.447510f, 0.466064f, + 0.485596f, 0.504883f, 0.759277f, 0.774902f, 0.775879f, 0.774902f, 0.773438f, 0.771973f, + 0.001031f, 0.003601f, 0.005604f, 0.007858f, 0.009880f, 0.012146f, 0.014549f, 0.016998f, + 0.019043f, 0.021362f, 0.024475f, 0.026566f, 0.029358f, 0.032196f, 0.035248f, 0.038391f, + 0.041656f, 0.045044f, 0.048553f, 0.052582f, 0.056213f, 0.060669f, 0.065186f, 0.070068f, + 0.074768f, 0.080322f, 0.086060f, 0.092102f, 0.098877f, 0.105408f, 0.112366f, 0.120239f, + 0.128540f, 0.136597f, 0.145874f, 0.155396f, 0.165283f, 0.175537f, 0.186401f, 0.198120f, + 0.210083f, 0.222534f, 0.235229f, 0.248657f, 0.262451f, 0.277344f, 0.291504f, 0.307617f, + 0.322998f, 0.339111f, 0.354980f, 0.372559f, 0.390625f, 0.408936f, 0.426758f, 0.445312f, + 0.466064f, 0.485840f, 0.749512f, 0.765137f, 0.767578f, 0.767090f, 0.765137f, 0.764648f, + 0.001161f, 0.003078f, 0.005310f, 0.007282f, 0.009201f, 0.011330f, 0.013214f, 0.015404f, + 0.017273f, 0.019409f, 0.021988f, 0.024078f, 0.026550f, 0.029358f, 0.032043f, 0.034454f, + 0.037415f, 0.040710f, 0.043854f, 0.047272f, 0.050659f, 0.054840f, 0.058777f, 0.063293f, + 0.067566f, 0.072449f, 0.077759f, 0.083069f, 0.088928f, 0.095886f, 0.102478f, 0.109070f, + 0.116760f, 0.124390f, 0.132935f, 0.141479f, 0.151123f, 0.161011f, 0.171143f, 0.182007f, + 0.193726f, 0.205688f, 0.218018f, 0.230835f, 0.244507f, 0.258789f, 0.272949f, 0.287109f, + 0.303467f, 0.319336f, 0.335449f, 0.352539f, 0.369873f, 0.387939f, 0.406250f, 0.425049f, + 0.444824f, 0.464844f, 0.739258f, 0.756348f, 0.758789f, 0.758789f, 0.757324f, 0.756836f, + 0.001004f, 0.002939f, 0.005005f, 0.006779f, 0.008453f, 0.010323f, 0.012177f, 0.013870f, + 0.016052f, 0.018051f, 0.019638f, 0.022141f, 0.023956f, 0.026413f, 0.028870f, 0.031281f, + 0.033661f, 0.036591f, 0.039429f, 0.042542f, 0.045776f, 0.049011f, 0.053009f, 0.056885f, + 0.061035f, 0.065186f, 0.069885f, 0.075134f, 0.080505f, 0.085999f, 0.091858f, 0.098633f, + 0.105591f, 0.112732f, 0.120667f, 0.128662f, 0.137573f, 0.146729f, 0.156372f, 0.166748f, + 0.177490f, 0.189331f, 0.201294f, 0.213501f, 0.226807f, 0.239746f, 0.254150f, 0.268555f, + 0.283936f, 0.298828f, 0.316162f, 0.332275f, 0.349609f, 0.367432f, 0.385498f, 0.404053f, + 0.423828f, 0.443848f, 0.728516f, 0.747559f, 0.750488f, 0.750488f, 0.749512f, 0.748047f, + 0.000970f, 0.002523f, 0.004665f, 0.006203f, 0.007759f, 0.009491f, 0.011070f, 0.012802f, + 0.014336f, 0.016266f, 0.017944f, 0.019852f, 0.021805f, 0.023911f, 0.025818f, 0.028137f, + 0.030579f, 0.032837f, 0.035248f, 0.038055f, 0.041046f, 0.044189f, 0.047333f, 0.050842f, + 0.054504f, 0.058502f, 0.062866f, 0.067383f, 0.071960f, 0.077393f, 0.082642f, 0.088928f, + 0.095093f, 0.101685f, 0.108765f, 0.116272f, 0.124451f, 0.133423f, 0.142212f, 0.152100f, + 0.162354f, 0.172729f, 0.184692f, 0.196411f, 0.209106f, 0.221802f, 0.235718f, 0.250000f, + 0.265137f, 0.280029f, 0.296143f, 0.312012f, 0.329346f, 0.346924f, 0.364990f, 0.384277f, + 0.403564f, 0.423340f, 0.718262f, 0.738770f, 0.741211f, 0.742188f, 0.741211f, 0.740234f, + 0.000785f, 0.002600f, 0.004028f, 0.005390f, 0.007275f, 0.008774f, 0.010124f, 0.011620f, + 0.013306f, 0.014427f, 0.015991f, 0.017838f, 0.019577f, 0.021469f, 0.023254f, 0.024902f, + 0.027115f, 0.029190f, 0.031677f, 0.034088f, 0.036682f, 0.039307f, 0.042175f, 0.045410f, + 0.048553f, 0.052002f, 0.055908f, 0.060028f, 0.064270f, 0.068909f, 0.074097f, 0.079163f, + 0.085022f, 0.091309f, 0.097473f, 0.104797f, 0.112183f, 0.120239f, 0.128662f, 0.137451f, + 0.146973f, 0.157471f, 0.168213f, 0.179810f, 0.191650f, 0.204468f, 0.217529f, 0.231201f, + 0.245605f, 0.260254f, 0.275879f, 0.292236f, 0.308838f, 0.326416f, 0.344238f, 0.363037f, + 0.382080f, 0.403076f, 0.707031f, 0.729980f, 0.732422f, 0.733398f, 0.733398f, 0.732910f, + 0.000775f, 0.002190f, 0.003696f, 0.005081f, 0.006397f, 0.007858f, 0.009239f, 0.010323f, + 0.011803f, 0.012978f, 0.014328f, 0.015915f, 0.017349f, 0.019058f, 0.020630f, 0.022339f, + 0.024445f, 0.025909f, 0.028275f, 0.030151f, 0.032532f, 0.035065f, 0.037476f, 0.040283f, + 0.042969f, 0.046448f, 0.049469f, 0.053314f, 0.056976f, 0.061371f, 0.065613f, 0.070435f, + 0.075623f, 0.081360f, 0.087341f, 0.093628f, 0.100220f, 0.107788f, 0.115845f, 0.123901f, + 0.133057f, 0.142456f, 0.152832f, 0.163574f, 0.174561f, 0.187012f, 0.199463f, 0.212646f, + 0.226562f, 0.241455f, 0.256836f, 0.272705f, 0.288818f, 0.305664f, 0.323486f, 0.341797f, + 0.362305f, 0.382080f, 0.695312f, 0.719238f, 0.722656f, 0.724121f, 0.724121f, 0.723633f, + 0.000906f, 0.002022f, 0.003521f, 0.004963f, 0.005756f, 0.006847f, 0.008446f, 0.009392f, + 0.010437f, 0.012039f, 0.012863f, 0.014343f, 0.015457f, 0.016876f, 0.018295f, 0.019730f, + 0.021484f, 0.023102f, 0.024689f, 0.026581f, 0.028717f, 0.030945f, 0.032928f, 0.035370f, + 0.037872f, 0.040894f, 0.043915f, 0.047028f, 0.050415f, 0.054169f, 0.058167f, 0.062286f, + 0.067078f, 0.071960f, 0.077209f, 0.082947f, 0.089417f, 0.096008f, 0.103271f, 0.110718f, + 0.119324f, 0.128052f, 0.137817f, 0.147705f, 0.158691f, 0.169922f, 0.181519f, 0.195435f, + 0.208496f, 0.222534f, 0.237305f, 0.252441f, 0.268799f, 0.285645f, 0.302979f, 0.322266f, + 0.340332f, 0.360840f, 0.683594f, 0.708984f, 0.714355f, 0.715332f, 0.715820f, 0.715332f, + 0.000700f, 0.002043f, 0.003139f, 0.004219f, 0.005417f, 0.006477f, 0.007442f, 0.008415f, + 0.009499f, 0.010475f, 0.011497f, 0.012619f, 0.013824f, 0.014969f, 0.016190f, 0.017639f, + 0.018799f, 0.020386f, 0.021896f, 0.023560f, 0.025131f, 0.027176f, 0.028900f, 0.031067f, + 0.033295f, 0.035919f, 0.038239f, 0.041229f, 0.044373f, 0.047394f, 0.050934f, 0.054871f, + 0.058838f, 0.063293f, 0.068115f, 0.073303f, 0.078857f, 0.084839f, 0.091309f, 0.098328f, + 0.106079f, 0.114136f, 0.123230f, 0.132690f, 0.143066f, 0.153442f, 0.165161f, 0.177368f, + 0.190186f, 0.203979f, 0.218262f, 0.232910f, 0.248901f, 0.265381f, 0.282227f, 0.301025f, + 0.319580f, 0.339355f, 0.672852f, 0.699707f, 0.704590f, 0.706055f, 0.706543f, 0.706055f, + 0.000762f, 0.001804f, 0.002762f, 0.003914f, 0.004791f, 0.005764f, 0.006542f, 0.007622f, + 0.008606f, 0.009232f, 0.010178f, 0.011093f, 0.012108f, 0.013191f, 0.014412f, 0.015289f, + 0.016510f, 0.017731f, 0.019119f, 0.020615f, 0.022049f, 0.023483f, 0.025345f, 0.027100f, + 0.028885f, 0.031067f, 0.033417f, 0.035797f, 0.038422f, 0.041382f, 0.044495f, 0.047638f, + 0.051178f, 0.055267f, 0.059387f, 0.064026f, 0.069092f, 0.074585f, 0.080566f, 0.087097f, + 0.093811f, 0.101624f, 0.109619f, 0.117798f, 0.127319f, 0.137817f, 0.148682f, 0.160278f, + 0.172607f, 0.185669f, 0.199097f, 0.214233f, 0.229492f, 0.245850f, 0.261963f, 0.280273f, + 0.299316f, 0.319580f, 0.660645f, 0.689453f, 0.694824f, 0.696777f, 0.697266f, 0.697266f, + 0.000499f, 0.001527f, 0.002565f, 0.003622f, 0.004429f, 0.005138f, 0.005955f, 0.006691f, + 0.007317f, 0.008156f, 0.008949f, 0.009903f, 0.010635f, 0.011452f, 0.012512f, 0.013451f, + 0.014503f, 0.015610f, 0.016632f, 0.017746f, 0.019073f, 0.020355f, 0.021957f, 0.023453f, + 0.025208f, 0.026932f, 0.028732f, 0.030945f, 0.033142f, 0.035614f, 0.038300f, 0.041199f, + 0.044464f, 0.047760f, 0.051514f, 0.055573f, 0.059998f, 0.064819f, 0.070312f, 0.075867f, + 0.082275f, 0.088806f, 0.096436f, 0.104797f, 0.113342f, 0.122559f, 0.132568f, 0.143799f, + 0.155396f, 0.167725f, 0.181274f, 0.195068f, 0.209961f, 0.225708f, 0.242310f, 0.259766f, + 0.277832f, 0.297363f, 0.648926f, 0.678711f, 0.685059f, 0.687500f, 0.687500f, 0.687988f, + 0.000653f, 0.001627f, 0.002562f, 0.003166f, 0.003872f, 0.004562f, 0.005287f, 0.005905f, + 0.006557f, 0.007309f, 0.007835f, 0.008621f, 0.009140f, 0.010109f, 0.010773f, 0.011627f, + 0.012428f, 0.013351f, 0.014488f, 0.015472f, 0.016479f, 0.017578f, 0.018845f, 0.020157f, + 0.021591f, 0.023132f, 0.024765f, 0.026337f, 0.028473f, 0.030594f, 0.032867f, 0.035309f, + 0.037933f, 0.041107f, 0.044403f, 0.047852f, 0.051666f, 0.055756f, 0.060455f, 0.065552f, + 0.070740f, 0.077454f, 0.083862f, 0.091125f, 0.099304f, 0.107971f, 0.117859f, 0.127808f, + 0.139038f, 0.150757f, 0.163574f, 0.176880f, 0.191162f, 0.206665f, 0.222656f, 0.239258f, + 0.257568f, 0.277100f, 0.636230f, 0.667969f, 0.675293f, 0.677734f, 0.678223f, 0.678711f, + 0.000393f, 0.001375f, 0.002174f, 0.002773f, 0.003334f, 0.004070f, 0.004692f, 0.005047f, + 0.005672f, 0.006298f, 0.006893f, 0.007454f, 0.007957f, 0.008636f, 0.009171f, 0.010002f, + 0.010674f, 0.011574f, 0.012451f, 0.013145f, 0.014091f, 0.014893f, 0.016083f, 0.017151f, + 0.018402f, 0.019714f, 0.021042f, 0.022415f, 0.024155f, 0.026108f, 0.027786f, 0.030212f, + 0.032379f, 0.034698f, 0.037415f, 0.040436f, 0.043793f, 0.047455f, 0.051727f, 0.056030f, + 0.061218f, 0.066284f, 0.072571f, 0.079041f, 0.086121f, 0.094299f, 0.102844f, 0.112305f, + 0.122925f, 0.134033f, 0.145752f, 0.158569f, 0.172729f, 0.187378f, 0.203003f, 0.219238f, + 0.237671f, 0.255859f, 0.624023f, 0.657227f, 0.664062f, 0.666992f, 0.668457f, 0.668457f, + 0.000379f, 0.001404f, 0.001893f, 0.002403f, 0.002840f, 0.003458f, 0.004021f, 0.004459f, + 0.004894f, 0.005527f, 0.005844f, 0.006256f, 0.006866f, 0.007423f, 0.007957f, 0.008476f, + 0.009155f, 0.009735f, 0.010422f, 0.011078f, 0.011925f, 0.012787f, 0.013458f, 0.014526f, + 0.015541f, 0.016632f, 0.017838f, 0.019028f, 0.020248f, 0.021851f, 0.023514f, 0.024979f, + 0.027054f, 0.029236f, 0.031555f, 0.034180f, 0.036713f, 0.040375f, 0.043854f, 0.047607f, + 0.051727f, 0.056549f, 0.061768f, 0.067627f, 0.073792f, 0.081116f, 0.089111f, 0.097595f, + 0.107056f, 0.117371f, 0.128906f, 0.141113f, 0.154053f, 0.168579f, 0.183960f, 0.199585f, + 0.216309f, 0.235352f, 0.612793f, 0.647949f, 0.652832f, 0.656250f, 0.658691f, 0.658203f, + 0.000506f, 0.001164f, 0.001575f, 0.002136f, 0.002600f, 0.003054f, 0.003405f, 0.003735f, + 0.004364f, 0.004681f, 0.004944f, 0.005569f, 0.005810f, 0.006187f, 0.006813f, 0.007233f, + 0.007881f, 0.008217f, 0.008850f, 0.009293f, 0.010109f, 0.010788f, 0.011543f, 0.012161f, + 0.012993f, 0.013931f, 0.014809f, 0.015945f, 0.016983f, 0.018234f, 0.019440f, 0.020813f, + 0.022491f, 0.024261f, 0.026169f, 0.028458f, 0.030701f, 0.033295f, 0.036560f, 0.039520f, + 0.043121f, 0.047333f, 0.052032f, 0.056885f, 0.062561f, 0.068909f, 0.076111f, 0.083496f, + 0.092407f, 0.101929f, 0.112671f, 0.124451f, 0.136719f, 0.150146f, 0.165039f, 0.180786f, + 0.197510f, 0.215210f, 0.597656f, 0.636230f, 0.642578f, 0.647461f, 0.647949f, 0.649902f, + 0.000344f, 0.001057f, 0.001456f, 0.001907f, 0.002377f, 0.002735f, 0.002983f, 0.003359f, + 0.003651f, 0.003960f, 0.004311f, 0.004471f, 0.005009f, 0.005283f, 0.005653f, 0.006145f, + 0.006592f, 0.006889f, 0.007469f, 0.007889f, 0.008423f, 0.008911f, 0.009567f, 0.010124f, + 0.010788f, 0.011574f, 0.012466f, 0.013123f, 0.014053f, 0.015091f, 0.016159f, 0.017288f, + 0.018539f, 0.020111f, 0.021698f, 0.023285f, 0.025024f, 0.027405f, 0.029800f, 0.032501f, + 0.035583f, 0.039001f, 0.042908f, 0.047302f, 0.052185f, 0.057465f, 0.063843f, 0.070984f, + 0.078857f, 0.087463f, 0.097168f, 0.108215f, 0.120117f, 0.132812f, 0.146851f, 0.161865f, + 0.177856f, 0.195557f, 0.585449f, 0.624023f, 0.633301f, 0.636230f, 0.637695f, 0.638672f, + 0.000516f, 0.000847f, 0.001210f, 0.001663f, 0.002012f, 0.002218f, 0.002424f, 0.002861f, + 0.002947f, 0.003275f, 0.003469f, 0.003819f, 0.004169f, 0.004337f, 0.004658f, 0.005169f, + 0.005424f, 0.005795f, 0.006138f, 0.006500f, 0.007057f, 0.007458f, 0.007874f, 0.008369f, + 0.008888f, 0.009583f, 0.010147f, 0.010864f, 0.011589f, 0.012428f, 0.013161f, 0.013931f, + 0.015076f, 0.016266f, 0.017456f, 0.018845f, 0.020432f, 0.022232f, 0.024094f, 0.026459f, + 0.028809f, 0.031586f, 0.034973f, 0.038513f, 0.042755f, 0.047485f, 0.052643f, 0.058929f, + 0.065796f, 0.073792f, 0.082581f, 0.092407f, 0.103516f, 0.115723f, 0.128906f, 0.142944f, + 0.158813f, 0.175781f, 0.572266f, 0.613770f, 0.621094f, 0.625977f, 0.626953f, 0.628418f, + 0.000262f, 0.000864f, 0.001096f, 0.001409f, 0.001576f, 0.001852f, 0.002047f, 0.002247f, + 0.002518f, 0.002741f, 0.002956f, 0.003157f, 0.003359f, 0.003597f, 0.003872f, 0.004230f, + 0.004406f, 0.004772f, 0.005035f, 0.005379f, 0.005695f, 0.006153f, 0.006485f, 0.006935f, + 0.007275f, 0.007801f, 0.008301f, 0.008789f, 0.009300f, 0.009949f, 0.010727f, 0.011482f, + 0.012245f, 0.013145f, 0.014236f, 0.015236f, 0.016525f, 0.017838f, 0.019348f, 0.021088f, + 0.023010f, 0.025253f, 0.027878f, 0.031128f, 0.034149f, 0.038269f, 0.042694f, 0.047852f, + 0.053833f, 0.060852f, 0.068665f, 0.077698f, 0.087891f, 0.099182f, 0.111633f, 0.125732f, + 0.140381f, 0.157227f, 0.558105f, 0.601562f, 0.610840f, 0.614746f, 0.617188f, 0.619141f, + 0.000270f, 0.000683f, 0.000851f, 0.001138f, 0.001346f, 0.001561f, 0.001701f, 0.001884f, + 0.001984f, 0.002193f, 0.002455f, 0.002609f, 0.002743f, 0.002993f, 0.003159f, 0.003361f, + 0.003593f, 0.003883f, 0.004044f, 0.004360f, 0.004532f, 0.004971f, 0.005169f, 0.005573f, + 0.005863f, 0.006252f, 0.006653f, 0.007095f, 0.007572f, 0.008110f, 0.008713f, 0.009056f, + 0.009827f, 0.010574f, 0.011307f, 0.012070f, 0.013069f, 0.014122f, 0.015297f, 0.016678f, + 0.018234f, 0.019775f, 0.021835f, 0.024216f, 0.026917f, 0.030151f, 0.033875f, 0.038147f, + 0.043121f, 0.049408f, 0.056091f, 0.064026f, 0.073059f, 0.083801f, 0.095276f, 0.108459f, + 0.122803f, 0.138794f, 0.545410f, 0.590332f, 0.599609f, 0.603516f, 0.606445f, 0.607422f, + 0.000190f, 0.000607f, 0.000724f, 0.000989f, 0.001171f, 0.001265f, 0.001416f, 0.001602f, + 0.001666f, 0.001761f, 0.001893f, 0.002102f, 0.002199f, 0.002413f, 0.002537f, 0.002743f, + 0.002850f, 0.003027f, 0.003258f, 0.003494f, 0.003729f, 0.003937f, 0.004204f, 0.004410f, + 0.004616f, 0.004921f, 0.005192f, 0.005604f, 0.005936f, 0.006298f, 0.006836f, 0.007233f, + 0.007694f, 0.008224f, 0.008827f, 0.009506f, 0.010262f, 0.011055f, 0.011978f, 0.012955f, + 0.014099f, 0.015434f, 0.017029f, 0.018677f, 0.020813f, 0.023193f, 0.026169f, 0.029541f, + 0.033783f, 0.038513f, 0.044403f, 0.051208f, 0.059387f, 0.068665f, 0.079468f, 0.091858f, + 0.105774f, 0.120728f, 0.530762f, 0.578125f, 0.588379f, 0.592773f, 0.595215f, 0.597168f, + 0.000151f, 0.000443f, 0.000673f, 0.000793f, 0.000937f, 0.000987f, 0.001092f, 0.001192f, + 0.001324f, 0.001460f, 0.001495f, 0.001565f, 0.001778f, 0.001944f, 0.002054f, 0.002096f, + 0.002254f, 0.002338f, 0.002594f, 0.002737f, 0.002886f, 0.003048f, 0.003294f, 0.003460f, + 0.003679f, 0.003868f, 0.004086f, 0.004322f, 0.004642f, 0.004894f, 0.005199f, 0.005554f, + 0.006035f, 0.006451f, 0.006836f, 0.007359f, 0.007820f, 0.008461f, 0.009163f, 0.009956f, + 0.010803f, 0.011871f, 0.012917f, 0.014343f, 0.015900f, 0.017670f, 0.019791f, 0.022400f, + 0.025589f, 0.029404f, 0.034210f, 0.039948f, 0.046936f, 0.055298f, 0.064941f, 0.076172f, + 0.089172f, 0.103821f, 0.517090f, 0.565918f, 0.576172f, 0.582031f, 0.584961f, 0.586426f, + 0.000203f, 0.000287f, 0.000531f, 0.000688f, 0.000738f, 0.000820f, 0.000915f, 0.000875f, + 0.001036f, 0.001117f, 0.001215f, 0.001317f, 0.001374f, 0.001476f, 0.001524f, 0.001682f, + 0.001726f, 0.001867f, 0.002014f, 0.002056f, 0.002209f, 0.002365f, 0.002495f, 0.002663f, + 0.002775f, 0.002953f, 0.003134f, 0.003325f, 0.003567f, 0.003736f, 0.004070f, 0.004261f, + 0.004494f, 0.004845f, 0.005116f, 0.005459f, 0.005928f, 0.006329f, 0.006863f, 0.007458f, + 0.008087f, 0.008873f, 0.009689f, 0.010651f, 0.011826f, 0.013130f, 0.014732f, 0.016617f, + 0.018890f, 0.021912f, 0.025482f, 0.029938f, 0.035736f, 0.042847f, 0.051453f, 0.061615f, + 0.074158f, 0.087952f, 0.504395f, 0.554199f, 0.565918f, 0.569336f, 0.573242f, 0.574219f, + 0.000215f, 0.000259f, 0.000423f, 0.000534f, 0.000499f, 0.000649f, 0.000622f, 0.000690f, + 0.000717f, 0.000817f, 0.000937f, 0.000984f, 0.001045f, 0.001148f, 0.001182f, 0.001211f, + 0.001339f, 0.001406f, 0.001463f, 0.001590f, 0.001666f, 0.001759f, 0.001867f, 0.001949f, + 0.002064f, 0.002176f, 0.002342f, 0.002453f, 0.002619f, 0.002871f, 0.003033f, 0.003101f, + 0.003389f, 0.003620f, 0.003794f, 0.004059f, 0.004368f, 0.004681f, 0.005035f, 0.005466f, + 0.005917f, 0.006405f, 0.007092f, 0.007744f, 0.008591f, 0.009506f, 0.010567f, 0.011993f, + 0.013710f, 0.015762f, 0.018326f, 0.021759f, 0.026077f, 0.031891f, 0.039124f, 0.048462f, + 0.059570f, 0.072571f, 0.489258f, 0.542480f, 0.553223f, 0.558594f, 0.562012f, 0.563965f, + 0.000067f, 0.000253f, 0.000305f, 0.000367f, 0.000422f, 0.000431f, 0.000530f, 0.000466f, + 0.000565f, 0.000590f, 0.000702f, 0.000690f, 0.000746f, 0.000795f, 0.000859f, 0.000897f, + 0.000962f, 0.001021f, 0.001069f, 0.001105f, 0.001207f, 0.001257f, 0.001354f, 0.001424f, + 0.001483f, 0.001570f, 0.001687f, 0.001750f, 0.001857f, 0.001982f, 0.002071f, 0.002281f, + 0.002361f, 0.002527f, 0.002684f, 0.002846f, 0.003092f, 0.003342f, 0.003622f, 0.003866f, + 0.004173f, 0.004520f, 0.004955f, 0.005428f, 0.006023f, 0.006687f, 0.007481f, 0.008446f, + 0.009628f, 0.011047f, 0.012840f, 0.015205f, 0.018326f, 0.022629f, 0.028442f, 0.036102f, + 0.046051f, 0.058197f, 0.476318f, 0.529785f, 0.541992f, 0.547852f, 0.550293f, 0.553223f, + 0.000000f, 0.000118f, 0.000216f, 0.000288f, 0.000272f, 0.000350f, 0.000312f, 0.000374f, + 0.000395f, 0.000470f, 0.000488f, 0.000477f, 0.000495f, 0.000548f, 0.000573f, 0.000646f, + 0.000636f, 0.000714f, 0.000763f, 0.000803f, 0.000852f, 0.000897f, 0.000930f, 0.000985f, + 0.001056f, 0.001089f, 0.001163f, 0.001210f, 0.001281f, 0.001432f, 0.001431f, 0.001548f, + 0.001622f, 0.001743f, 0.001869f, 0.001991f, 0.002104f, 0.002262f, 0.002428f, 0.002632f, + 0.002815f, 0.003077f, 0.003344f, 0.003656f, 0.004002f, 0.004478f, 0.004974f, 0.005627f, + 0.006435f, 0.007481f, 0.008713f, 0.010307f, 0.012291f, 0.015289f, 0.019409f, 0.025497f, + 0.033966f, 0.045013f, 0.461914f, 0.517090f, 0.529297f, 0.536133f, 0.539551f, 0.541504f, + 0.000073f, 0.000175f, 0.000165f, 0.000149f, 0.000200f, 0.000208f, 0.000215f, 0.000260f, + 0.000268f, 0.000277f, 0.000292f, 0.000341f, 0.000334f, 0.000370f, 0.000413f, 0.000424f, + 0.000449f, 0.000474f, 0.000488f, 0.000507f, 0.000555f, 0.000574f, 0.000616f, 0.000652f, + 0.000696f, 0.000746f, 0.000780f, 0.000804f, 0.000849f, 0.000888f, 0.000949f, 0.001011f, + 0.001075f, 0.001151f, 0.001225f, 0.001266f, 0.001385f, 0.001466f, 0.001596f, 0.001699f, + 0.001808f, 0.001980f, 0.002157f, 0.002329f, 0.002544f, 0.002850f, 0.003178f, 0.003593f, + 0.004047f, 0.004658f, 0.005508f, 0.006565f, 0.007935f, 0.009819f, 0.012527f, 0.016647f, + 0.023514f, 0.033173f, 0.447510f, 0.503906f, 0.517578f, 0.523926f, 0.527344f, 0.529297f, + 0.000000f, 0.000106f, 0.000097f, 0.000099f, 0.000136f, 0.000157f, 0.000129f, 0.000162f, + 0.000167f, 0.000172f, 0.000180f, 0.000186f, 0.000209f, 0.000227f, 0.000232f, 0.000248f, + 0.000260f, 0.000291f, 0.000300f, 0.000327f, 0.000335f, 0.000343f, 0.000363f, 0.000395f, + 0.000428f, 0.000459f, 0.000458f, 0.000477f, 0.000515f, 0.000549f, 0.000578f, 0.000621f, + 0.000659f, 0.000683f, 0.000741f, 0.000767f, 0.000818f, 0.000877f, 0.000952f, 0.001010f, + 0.001085f, 0.001177f, 0.001275f, 0.001406f, 0.001516f, 0.001664f, 0.001884f, 0.002096f, + 0.002415f, 0.002745f, 0.003231f, 0.003843f, 0.004715f, 0.005936f, 0.007629f, 0.010139f, + 0.014763f, 0.022812f, 0.433350f, 0.491455f, 0.506348f, 0.511719f, 0.515625f, 0.518066f, + 0.000104f, 0.000080f, 0.000069f, 0.000062f, 0.000074f, 0.000074f, 0.000089f, 0.000097f, + 0.000099f, 0.000102f, 0.000105f, 0.000126f, 0.000106f, 0.000119f, 0.000139f, 0.000135f, + 0.000154f, 0.000164f, 0.000166f, 0.000175f, 0.000188f, 0.000194f, 0.000211f, 0.000220f, + 0.000252f, 0.000248f, 0.000260f, 0.000272f, 0.000293f, 0.000301f, 0.000328f, 0.000347f, + 0.000365f, 0.000371f, 0.000401f, 0.000422f, 0.000447f, 0.000489f, 0.000524f, 0.000553f, + 0.000588f, 0.000635f, 0.000701f, 0.000751f, 0.000816f, 0.000897f, 0.000997f, 0.001109f, + 0.001265f, 0.001460f, 0.001686f, 0.002035f, 0.002457f, 0.003130f, 0.004124f, 0.005676f, + 0.008263f, 0.014114f, 0.418945f, 0.479492f, 0.493652f, 0.500000f, 0.503418f, 0.506836f, + 0.000089f, 0.000065f, 0.000056f, 0.000050f, 0.000045f, 0.000042f, 0.000046f, 0.000042f, + 0.000043f, 0.000055f, 0.000046f, 0.000049f, 0.000065f, 0.000055f, 0.000057f, 0.000063f, + 0.000075f, 0.000080f, 0.000078f, 0.000084f, 0.000085f, 0.000092f, 0.000097f, 0.000102f, + 0.000108f, 0.000117f, 0.000118f, 0.000138f, 0.000135f, 0.000142f, 0.000151f, 0.000160f, + 0.000172f, 0.000180f, 0.000195f, 0.000197f, 0.000210f, 0.000230f, 0.000244f, 0.000266f, + 0.000279f, 0.000299f, 0.000324f, 0.000352f, 0.000383f, 0.000414f, 0.000457f, 0.000509f, + 0.000575f, 0.000650f, 0.000756f, 0.000904f, 0.001103f, 0.001410f, 0.001880f, 0.002668f, + 0.004112f, 0.007290f, 0.404541f, 0.466309f, 0.481201f, 0.488037f, 0.492432f, 0.495361f, + 0.000066f, 0.000046f, 0.000038f, 0.000034f, 0.000031f, 0.000029f, 0.000027f, 0.000026f, + 0.000025f, 0.000023f, 0.000022f, 0.000024f, 0.000020f, 0.000021f, 0.000021f, 0.000026f, + 0.000024f, 0.000028f, 0.000031f, 0.000032f, 0.000032f, 0.000035f, 0.000040f, 0.000038f, + 0.000041f, 0.000047f, 0.000049f, 0.000043f, 0.000050f, 0.000052f, 0.000056f, 0.000059f, + 0.000066f, 0.000062f, 0.000067f, 0.000071f, 0.000082f, 0.000083f, 0.000089f, 0.000098f, + 0.000104f, 0.000107f, 0.000116f, 0.000125f, 0.000141f, 0.000149f, 0.000160f, 0.000183f, + 0.000207f, 0.000228f, 0.000264f, 0.000311f, 0.000376f, 0.000469f, 0.000646f, 0.000937f, + 0.001554f, 0.002983f, 0.390381f, 0.454346f, 0.469727f, 0.476318f, 0.480713f, 0.484131f, + 0.000028f, 0.000019f, 0.000015f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, + 0.000012f, 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, + 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, + 0.000008f, 0.000009f, 0.000009f, 0.000010f, 0.000010f, 0.000011f, 0.000012f, 0.000011f, + 0.000014f, 0.000015f, 0.000016f, 0.000016f, 0.000018f, 0.000019f, 0.000019f, 0.000022f, + 0.000023f, 0.000024f, 0.000026f, 0.000028f, 0.000029f, 0.000032f, 0.000037f, 0.000037f, + 0.000042f, 0.000048f, 0.000056f, 0.000066f, 0.000077f, 0.000091f, 0.000124f, 0.000183f, + 0.000318f, 0.000779f, 0.376465f, 0.441406f, 0.457275f, 0.464600f, 0.468994f, 0.471924f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, + 0.000010f, 0.000027f, 0.363037f, 0.428223f, 0.444580f, 0.452881f, 0.457031f, 0.459961f, + }, + { + 0.014420f, 0.043488f, 0.072388f, 0.100830f, 0.129150f, 0.156494f, 0.183350f, 0.210327f, + 0.235352f, 0.260986f, 0.285645f, 0.309082f, 0.332764f, 0.355713f, 0.377441f, 0.399658f, + 0.420898f, 0.441650f, 0.461914f, 0.481445f, 0.500977f, 0.520508f, 0.538574f, 0.556641f, + 0.574707f, 0.591797f, 0.608398f, 0.624512f, 0.641602f, 0.657227f, 0.672363f, 0.687500f, + 0.702148f, 0.717285f, 0.730957f, 0.745117f, 0.758789f, 0.772461f, 0.783203f, 0.797363f, + 0.810547f, 0.822266f, 0.833984f, 0.845703f, 0.857422f, 0.868652f, 0.879395f, 0.890625f, + 0.901367f, 0.911621f, 0.921875f, 0.932129f, 0.941895f, 0.951660f, 0.960938f, 0.970215f, + 0.979492f, 0.987793f, 0.981934f, 0.957031f, 0.938965f, 0.923340f, 0.909668f, 0.897461f, + 0.013199f, 0.039978f, 0.066284f, 0.093445f, 0.119324f, 0.145386f, 0.170410f, 0.195801f, + 0.220581f, 0.244019f, 0.268066f, 0.291260f, 0.314453f, 0.335938f, 0.358154f, 0.379639f, + 0.399902f, 0.420898f, 0.441406f, 0.460938f, 0.480225f, 0.498291f, 0.516602f, 0.535156f, + 0.553223f, 0.570312f, 0.587891f, 0.603516f, 0.620117f, 0.636719f, 0.652832f, 0.667480f, + 0.682617f, 0.696777f, 0.711914f, 0.726074f, 0.739746f, 0.753418f, 0.766602f, 0.779785f, + 0.791992f, 0.804688f, 0.817871f, 0.829102f, 0.841309f, 0.852539f, 0.864258f, 0.875488f, + 0.886230f, 0.896973f, 0.907227f, 0.917969f, 0.928223f, 0.937500f, 0.947266f, 0.957520f, + 0.966797f, 0.975586f, 0.976562f, 0.952637f, 0.935547f, 0.920898f, 0.907715f, 0.895996f, + 0.011932f, 0.036499f, 0.061554f, 0.085999f, 0.110962f, 0.135010f, 0.158813f, 0.182373f, + 0.206421f, 0.229004f, 0.251221f, 0.274170f, 0.295654f, 0.317871f, 0.339111f, 0.360107f, + 0.379395f, 0.399414f, 0.420654f, 0.440430f, 0.458252f, 0.477295f, 0.496094f, 0.513672f, + 0.531738f, 0.549805f, 0.566406f, 0.583984f, 0.599121f, 0.616211f, 0.631348f, 0.647461f, + 0.662598f, 0.677734f, 0.692383f, 0.705566f, 0.720703f, 0.734863f, 0.748047f, 0.761230f, + 0.774414f, 0.787598f, 0.799805f, 0.812500f, 0.824707f, 0.837402f, 0.848633f, 0.859375f, + 0.871094f, 0.882324f, 0.892578f, 0.904297f, 0.913574f, 0.924316f, 0.934570f, 0.943848f, + 0.954102f, 0.963867f, 0.970703f, 0.948242f, 0.931641f, 0.917480f, 0.905273f, 0.894043f, + 0.011070f, 0.033478f, 0.056396f, 0.079529f, 0.101990f, 0.125244f, 0.147705f, 0.170410f, + 0.192139f, 0.214111f, 0.235596f, 0.257812f, 0.279053f, 0.300293f, 0.320557f, 0.340576f, + 0.360596f, 0.381104f, 0.400635f, 0.420166f, 0.438965f, 0.458008f, 0.476562f, 0.493652f, + 0.511230f, 0.527832f, 0.545898f, 0.562012f, 0.579102f, 0.595703f, 0.610840f, 0.627930f, + 0.642578f, 0.657227f, 0.672363f, 0.686523f, 0.701660f, 0.715332f, 0.729492f, 0.742676f, + 0.756348f, 0.769531f, 0.782227f, 0.795898f, 0.807617f, 0.820312f, 0.832031f, 0.843262f, + 0.855469f, 0.866699f, 0.877441f, 0.889648f, 0.899414f, 0.910156f, 0.920410f, 0.930664f, + 0.940430f, 0.950684f, 0.964844f, 0.943848f, 0.927734f, 0.914551f, 0.902344f, 0.891602f, + 0.010010f, 0.031067f, 0.051880f, 0.073303f, 0.094421f, 0.116577f, 0.136963f, 0.157959f, + 0.180542f, 0.200684f, 0.221436f, 0.242676f, 0.262939f, 0.283447f, 0.303467f, 0.323242f, + 0.342529f, 0.362305f, 0.381348f, 0.399414f, 0.418701f, 0.437256f, 0.455322f, 0.472412f, + 0.490479f, 0.507812f, 0.524902f, 0.541992f, 0.558105f, 0.574219f, 0.591309f, 0.606445f, + 0.622070f, 0.637695f, 0.652344f, 0.666504f, 0.683594f, 0.695801f, 0.710449f, 0.724121f, + 0.737305f, 0.751465f, 0.765137f, 0.777344f, 0.790039f, 0.802734f, 0.814941f, 0.827637f, + 0.839355f, 0.851074f, 0.862305f, 0.874512f, 0.885254f, 0.895996f, 0.906738f, 0.917480f, + 0.927246f, 0.937988f, 0.958984f, 0.939453f, 0.923828f, 0.911133f, 0.899414f, 0.889160f, + 0.009491f, 0.028305f, 0.047699f, 0.067810f, 0.087341f, 0.107849f, 0.127686f, 0.147827f, + 0.167725f, 0.187744f, 0.207886f, 0.227051f, 0.247314f, 0.266846f, 0.286377f, 0.305908f, + 0.324463f, 0.343262f, 0.361572f, 0.380371f, 0.399658f, 0.416748f, 0.435547f, 0.452881f, + 0.470703f, 0.488281f, 0.503906f, 0.522461f, 0.538086f, 0.554199f, 0.571289f, 0.586914f, + 0.602051f, 0.617676f, 0.633789f, 0.647949f, 0.663086f, 0.677246f, 0.692871f, 0.705078f, + 0.718750f, 0.732910f, 0.746582f, 0.759766f, 0.773438f, 0.785645f, 0.798340f, 0.811035f, + 0.823242f, 0.834961f, 0.847168f, 0.859863f, 0.870117f, 0.881348f, 0.893066f, 0.903320f, + 0.914551f, 0.924316f, 0.953125f, 0.934082f, 0.919434f, 0.906738f, 0.896484f, 0.885742f, + 0.008598f, 0.026245f, 0.044495f, 0.062622f, 0.081177f, 0.100098f, 0.119019f, 0.137817f, + 0.156616f, 0.175903f, 0.194946f, 0.213745f, 0.232788f, 0.251221f, 0.269775f, 0.288330f, + 0.307129f, 0.325928f, 0.344238f, 0.362305f, 0.380371f, 0.397705f, 0.415771f, 0.433105f, + 0.450928f, 0.468262f, 0.484863f, 0.501953f, 0.518555f, 0.534668f, 0.550293f, 0.566406f, + 0.582520f, 0.598145f, 0.612305f, 0.627930f, 0.643555f, 0.657715f, 0.672852f, 0.687500f, + 0.700684f, 0.715332f, 0.728516f, 0.742188f, 0.755371f, 0.769531f, 0.781738f, 0.794434f, + 0.807129f, 0.818359f, 0.831543f, 0.843262f, 0.855469f, 0.865723f, 0.877930f, 0.889160f, + 0.900391f, 0.911621f, 0.946777f, 0.929199f, 0.915039f, 0.903320f, 0.892578f, 0.883301f, + 0.007896f, 0.024490f, 0.041138f, 0.057892f, 0.075439f, 0.092712f, 0.110229f, 0.128296f, + 0.146118f, 0.164429f, 0.181885f, 0.200562f, 0.218628f, 0.236572f, 0.255127f, 0.272949f, + 0.291016f, 0.308594f, 0.326172f, 0.343994f, 0.361816f, 0.380127f, 0.396973f, 0.414551f, + 0.430908f, 0.447998f, 0.465576f, 0.481445f, 0.497559f, 0.514160f, 0.529785f, 0.546387f, + 0.562988f, 0.578613f, 0.593262f, 0.609375f, 0.623047f, 0.638672f, 0.653809f, 0.667480f, + 0.681641f, 0.697266f, 0.710938f, 0.724121f, 0.737305f, 0.752441f, 0.765625f, 0.776367f, + 0.790527f, 0.803223f, 0.815918f, 0.827637f, 0.839844f, 0.851562f, 0.863281f, 0.875000f, + 0.886719f, 0.898926f, 0.940430f, 0.923828f, 0.910645f, 0.899414f, 0.889160f, 0.879883f, + 0.007320f, 0.022369f, 0.038055f, 0.053925f, 0.070190f, 0.086609f, 0.103027f, 0.119568f, + 0.136475f, 0.153320f, 0.170532f, 0.187988f, 0.204834f, 0.223022f, 0.240112f, 0.257324f, + 0.275391f, 0.291504f, 0.308838f, 0.326904f, 0.344727f, 0.361572f, 0.378662f, 0.395020f, + 0.411865f, 0.428711f, 0.445068f, 0.462646f, 0.478271f, 0.494141f, 0.510254f, 0.525879f, + 0.542480f, 0.557129f, 0.573242f, 0.588867f, 0.603516f, 0.618164f, 0.633789f, 0.648438f, + 0.663086f, 0.678223f, 0.691895f, 0.706543f, 0.720215f, 0.733398f, 0.746582f, 0.759766f, + 0.774414f, 0.786621f, 0.799805f, 0.811523f, 0.823730f, 0.836914f, 0.848145f, 0.860840f, + 0.872070f, 0.884277f, 0.933594f, 0.918945f, 0.906250f, 0.895020f, 0.885254f, 0.876953f, + 0.006760f, 0.021011f, 0.034973f, 0.050049f, 0.065369f, 0.080261f, 0.095337f, 0.111633f, + 0.127319f, 0.142822f, 0.159668f, 0.176514f, 0.192383f, 0.209106f, 0.225586f, 0.242554f, + 0.259277f, 0.275635f, 0.292480f, 0.309326f, 0.326904f, 0.343750f, 0.359619f, 0.376465f, + 0.393066f, 0.409424f, 0.426514f, 0.442871f, 0.458252f, 0.475586f, 0.490967f, 0.505859f, + 0.522461f, 0.539062f, 0.554199f, 0.569336f, 0.583984f, 0.600586f, 0.614258f, 0.630371f, + 0.643555f, 0.658691f, 0.673340f, 0.687500f, 0.702148f, 0.715332f, 0.729980f, 0.743652f, + 0.756348f, 0.770020f, 0.782715f, 0.796387f, 0.808105f, 0.820801f, 0.833008f, 0.846680f, + 0.857910f, 0.870117f, 0.927246f, 0.913574f, 0.901367f, 0.891113f, 0.881348f, 0.873047f, + 0.006367f, 0.019165f, 0.032379f, 0.046295f, 0.060089f, 0.074463f, 0.088867f, 0.103821f, + 0.118835f, 0.133911f, 0.149048f, 0.164673f, 0.180298f, 0.196289f, 0.212524f, 0.228516f, + 0.244385f, 0.260742f, 0.277344f, 0.293213f, 0.309570f, 0.326416f, 0.342773f, 0.358887f, + 0.374512f, 0.391113f, 0.406982f, 0.423340f, 0.439453f, 0.455078f, 0.470947f, 0.487793f, + 0.502441f, 0.519043f, 0.533691f, 0.550293f, 0.564941f, 0.580078f, 0.595703f, 0.610840f, + 0.625488f, 0.640137f, 0.654785f, 0.669434f, 0.683594f, 0.696777f, 0.710938f, 0.725586f, + 0.738770f, 0.752441f, 0.766113f, 0.778320f, 0.791016f, 0.805176f, 0.818359f, 0.830566f, + 0.842773f, 0.854980f, 0.920410f, 0.908203f, 0.896484f, 0.886230f, 0.877441f, 0.868652f, + 0.005981f, 0.017914f, 0.030350f, 0.042908f, 0.056213f, 0.069092f, 0.083008f, 0.096619f, + 0.111084f, 0.124634f, 0.139526f, 0.154297f, 0.169312f, 0.184570f, 0.199951f, 0.215454f, + 0.230713f, 0.245728f, 0.261963f, 0.277588f, 0.293213f, 0.309326f, 0.325195f, 0.340820f, + 0.356934f, 0.373047f, 0.388916f, 0.404785f, 0.420410f, 0.436279f, 0.452148f, 0.468506f, + 0.483154f, 0.499756f, 0.515137f, 0.530762f, 0.545898f, 0.560059f, 0.576172f, 0.590820f, + 0.606445f, 0.621094f, 0.635254f, 0.649902f, 0.663574f, 0.678223f, 0.692383f, 0.706543f, + 0.720703f, 0.733887f, 0.748535f, 0.762695f, 0.775391f, 0.789551f, 0.801758f, 0.814941f, + 0.828125f, 0.840332f, 0.913574f, 0.902344f, 0.890625f, 0.881836f, 0.872559f, 0.865234f, + 0.005402f, 0.016617f, 0.028061f, 0.039948f, 0.051758f, 0.064270f, 0.076782f, 0.089600f, + 0.102600f, 0.116455f, 0.130371f, 0.144165f, 0.158936f, 0.172607f, 0.187744f, 0.201904f, + 0.216431f, 0.232422f, 0.247192f, 0.261719f, 0.277100f, 0.292480f, 0.308838f, 0.323975f, + 0.339355f, 0.355469f, 0.371338f, 0.386230f, 0.402344f, 0.417725f, 0.433350f, 0.448486f, + 0.464600f, 0.480225f, 0.495361f, 0.510742f, 0.525879f, 0.541992f, 0.557129f, 0.571777f, + 0.586914f, 0.601562f, 0.616211f, 0.631836f, 0.645508f, 0.661621f, 0.674805f, 0.688965f, + 0.703125f, 0.717773f, 0.731934f, 0.745605f, 0.757812f, 0.772949f, 0.785156f, 0.799316f, + 0.812012f, 0.826172f, 0.906738f, 0.896484f, 0.886230f, 0.876465f, 0.868164f, 0.860840f, + 0.005264f, 0.015457f, 0.026474f, 0.037170f, 0.048157f, 0.059845f, 0.071594f, 0.083984f, + 0.096191f, 0.109070f, 0.121887f, 0.134766f, 0.148193f, 0.161255f, 0.175781f, 0.189209f, + 0.203369f, 0.218384f, 0.233032f, 0.247681f, 0.261963f, 0.277100f, 0.292480f, 0.307129f, + 0.322998f, 0.337891f, 0.352539f, 0.368652f, 0.384033f, 0.399170f, 0.414307f, 0.430420f, + 0.445801f, 0.460693f, 0.475342f, 0.491211f, 0.506836f, 0.521973f, 0.537598f, 0.551758f, + 0.567383f, 0.582520f, 0.598145f, 0.612305f, 0.627441f, 0.642090f, 0.656738f, 0.670898f, + 0.685059f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, 0.755371f, 0.770020f, 0.782715f, + 0.796387f, 0.810547f, 0.899414f, 0.889648f, 0.879883f, 0.872070f, 0.863770f, 0.856445f, + 0.004719f, 0.014229f, 0.024384f, 0.034607f, 0.044708f, 0.055756f, 0.066895f, 0.077942f, + 0.089600f, 0.101624f, 0.113525f, 0.125854f, 0.138428f, 0.151245f, 0.164673f, 0.177734f, + 0.191650f, 0.205078f, 0.219360f, 0.233154f, 0.247925f, 0.261475f, 0.276367f, 0.291504f, + 0.305908f, 0.320312f, 0.335449f, 0.350098f, 0.365723f, 0.380615f, 0.395996f, 0.411133f, + 0.427002f, 0.441895f, 0.456543f, 0.472656f, 0.487793f, 0.502441f, 0.518555f, 0.533203f, + 0.547852f, 0.562988f, 0.577637f, 0.593262f, 0.607910f, 0.623535f, 0.638184f, 0.652344f, + 0.666992f, 0.681641f, 0.696777f, 0.711426f, 0.725098f, 0.738281f, 0.753418f, 0.766113f, + 0.782227f, 0.794922f, 0.892090f, 0.884277f, 0.875000f, 0.866699f, 0.858887f, 0.852539f, + 0.004280f, 0.013329f, 0.022476f, 0.031982f, 0.042114f, 0.051849f, 0.062225f, 0.072449f, + 0.083679f, 0.095032f, 0.105530f, 0.117676f, 0.129517f, 0.141357f, 0.154297f, 0.166748f, + 0.178711f, 0.192505f, 0.205933f, 0.219727f, 0.233521f, 0.247070f, 0.260986f, 0.275391f, + 0.290039f, 0.303955f, 0.319580f, 0.333740f, 0.347412f, 0.363037f, 0.377686f, 0.392822f, + 0.408203f, 0.422852f, 0.437988f, 0.453125f, 0.468506f, 0.483398f, 0.498779f, 0.514160f, + 0.527832f, 0.543945f, 0.559570f, 0.574707f, 0.588867f, 0.604492f, 0.619141f, 0.634277f, + 0.648438f, 0.663086f, 0.678223f, 0.692383f, 0.707520f, 0.721680f, 0.735352f, 0.749512f, + 0.764648f, 0.778320f, 0.884277f, 0.877441f, 0.868652f, 0.861328f, 0.854492f, 0.847656f, + 0.004280f, 0.012138f, 0.021103f, 0.029999f, 0.038940f, 0.048279f, 0.057831f, 0.067566f, + 0.077454f, 0.087524f, 0.098816f, 0.109558f, 0.120728f, 0.131958f, 0.143799f, 0.155762f, + 0.168091f, 0.180176f, 0.193359f, 0.206177f, 0.219360f, 0.232910f, 0.246338f, 0.260254f, + 0.273682f, 0.287598f, 0.302246f, 0.316650f, 0.331299f, 0.344971f, 0.359863f, 0.374268f, + 0.389648f, 0.404297f, 0.419434f, 0.434326f, 0.449463f, 0.464844f, 0.479492f, 0.494141f, + 0.509766f, 0.524414f, 0.540039f, 0.555176f, 0.569824f, 0.584961f, 0.600098f, 0.615723f, + 0.629883f, 0.645508f, 0.659668f, 0.675293f, 0.689453f, 0.704590f, 0.719238f, 0.732422f, + 0.748535f, 0.762207f, 0.876953f, 0.871582f, 0.863281f, 0.855957f, 0.849609f, 0.842773f, + 0.003744f, 0.011436f, 0.019348f, 0.027893f, 0.036102f, 0.044739f, 0.053711f, 0.063110f, + 0.072205f, 0.081970f, 0.091919f, 0.101746f, 0.112732f, 0.122864f, 0.134521f, 0.145996f, + 0.157715f, 0.169434f, 0.181519f, 0.193848f, 0.206665f, 0.219360f, 0.231445f, 0.245361f, + 0.259033f, 0.272217f, 0.286621f, 0.299805f, 0.314209f, 0.328125f, 0.342285f, 0.357178f, + 0.371826f, 0.386475f, 0.400635f, 0.415527f, 0.430420f, 0.445068f, 0.459717f, 0.476074f, + 0.490234f, 0.505371f, 0.521484f, 0.536133f, 0.551758f, 0.565430f, 0.581543f, 0.595703f, + 0.611816f, 0.626465f, 0.641602f, 0.656738f, 0.671875f, 0.686523f, 0.701172f, 0.715820f, + 0.731445f, 0.746582f, 0.868652f, 0.864746f, 0.856934f, 0.851074f, 0.844727f, 0.837891f, + 0.003595f, 0.011093f, 0.018265f, 0.025711f, 0.033600f, 0.041656f, 0.050140f, 0.058350f, + 0.067505f, 0.076416f, 0.085632f, 0.095093f, 0.104919f, 0.115295f, 0.125610f, 0.136108f, + 0.147583f, 0.157959f, 0.169800f, 0.181519f, 0.193359f, 0.205933f, 0.218140f, 0.231323f, + 0.243652f, 0.257324f, 0.270508f, 0.283447f, 0.297363f, 0.311523f, 0.325928f, 0.339111f, + 0.353516f, 0.367432f, 0.382812f, 0.396973f, 0.412109f, 0.426758f, 0.441406f, 0.456055f, + 0.471436f, 0.486328f, 0.501953f, 0.516113f, 0.531738f, 0.546875f, 0.562500f, 0.577637f, + 0.592773f, 0.607910f, 0.622559f, 0.638184f, 0.653809f, 0.669434f, 0.684082f, 0.699219f, + 0.714355f, 0.729492f, 0.860840f, 0.857422f, 0.852051f, 0.844727f, 0.839355f, 0.832520f, + 0.003349f, 0.009933f, 0.016754f, 0.024063f, 0.031204f, 0.038849f, 0.046356f, 0.054413f, + 0.062744f, 0.070984f, 0.080017f, 0.088989f, 0.097778f, 0.107361f, 0.117004f, 0.127197f, + 0.137451f, 0.148071f, 0.159180f, 0.169922f, 0.181519f, 0.192993f, 0.204956f, 0.217407f, + 0.229980f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.307861f, 0.321533f, + 0.335693f, 0.350098f, 0.364258f, 0.379150f, 0.393066f, 0.407715f, 0.422607f, 0.437500f, + 0.452148f, 0.467041f, 0.482422f, 0.497314f, 0.512695f, 0.527832f, 0.542969f, 0.558594f, + 0.573730f, 0.589844f, 0.604004f, 0.619629f, 0.635254f, 0.651367f, 0.665527f, 0.681152f, + 0.696289f, 0.711914f, 0.852539f, 0.851562f, 0.846191f, 0.838867f, 0.832520f, 0.827637f, + 0.003290f, 0.009415f, 0.015976f, 0.022095f, 0.028946f, 0.036255f, 0.043396f, 0.050598f, + 0.058502f, 0.066284f, 0.074036f, 0.082275f, 0.091187f, 0.099731f, 0.108826f, 0.118652f, + 0.128296f, 0.137939f, 0.148193f, 0.159302f, 0.170166f, 0.180786f, 0.191895f, 0.203491f, + 0.215210f, 0.227661f, 0.240112f, 0.252686f, 0.265625f, 0.278564f, 0.291748f, 0.305176f, + 0.318604f, 0.332764f, 0.346924f, 0.360352f, 0.375000f, 0.389160f, 0.404297f, 0.418213f, + 0.433105f, 0.448486f, 0.463135f, 0.477783f, 0.493408f, 0.508301f, 0.523438f, 0.540039f, + 0.554199f, 0.570312f, 0.585938f, 0.601074f, 0.617188f, 0.633301f, 0.648926f, 0.664062f, + 0.679688f, 0.695312f, 0.844727f, 0.844238f, 0.838867f, 0.833008f, 0.827148f, 0.822266f, + 0.002913f, 0.008621f, 0.014595f, 0.020950f, 0.027496f, 0.033600f, 0.040558f, 0.047119f, + 0.054260f, 0.061615f, 0.068970f, 0.076782f, 0.084717f, 0.093140f, 0.101562f, 0.109985f, + 0.118591f, 0.129150f, 0.138306f, 0.148682f, 0.158447f, 0.169189f, 0.180054f, 0.191162f, + 0.202148f, 0.213379f, 0.225586f, 0.237305f, 0.250488f, 0.262939f, 0.275391f, 0.288086f, + 0.302490f, 0.315186f, 0.329346f, 0.342529f, 0.356934f, 0.370117f, 0.385742f, 0.400146f, + 0.414795f, 0.429199f, 0.444336f, 0.459473f, 0.473389f, 0.489258f, 0.503906f, 0.519531f, + 0.535645f, 0.551270f, 0.566895f, 0.582520f, 0.598145f, 0.614258f, 0.629395f, 0.645996f, + 0.661621f, 0.677734f, 0.837402f, 0.836914f, 0.832520f, 0.826660f, 0.821777f, 0.816406f, + 0.002748f, 0.008018f, 0.014168f, 0.019196f, 0.025040f, 0.031250f, 0.037506f, 0.043732f, + 0.050415f, 0.057098f, 0.063721f, 0.071167f, 0.078979f, 0.086609f, 0.094299f, 0.102783f, + 0.111145f, 0.119812f, 0.128296f, 0.138306f, 0.147583f, 0.157593f, 0.168213f, 0.178711f, + 0.188843f, 0.200317f, 0.211792f, 0.223511f, 0.235352f, 0.247192f, 0.259521f, 0.272461f, + 0.285156f, 0.298584f, 0.312012f, 0.324707f, 0.339111f, 0.352783f, 0.366943f, 0.381348f, + 0.395996f, 0.410889f, 0.425537f, 0.439941f, 0.454834f, 0.470459f, 0.485352f, 0.501953f, + 0.516113f, 0.531738f, 0.547363f, 0.563477f, 0.579102f, 0.595703f, 0.611328f, 0.626953f, + 0.642578f, 0.659668f, 0.828125f, 0.830566f, 0.825684f, 0.820801f, 0.815430f, 0.811035f, + 0.002630f, 0.007412f, 0.012978f, 0.018356f, 0.023758f, 0.028931f, 0.034729f, 0.040894f, + 0.046631f, 0.053101f, 0.059143f, 0.065979f, 0.073669f, 0.080200f, 0.087585f, 0.095276f, + 0.102844f, 0.111633f, 0.119812f, 0.128296f, 0.137573f, 0.146729f, 0.156128f, 0.166382f, + 0.176880f, 0.187256f, 0.197998f, 0.209351f, 0.220581f, 0.232422f, 0.244385f, 0.256592f, + 0.268799f, 0.281982f, 0.294922f, 0.308105f, 0.321045f, 0.334717f, 0.348633f, 0.363525f, + 0.378174f, 0.391846f, 0.406006f, 0.420898f, 0.436279f, 0.451660f, 0.466064f, 0.481934f, + 0.496826f, 0.513184f, 0.528320f, 0.543945f, 0.560059f, 0.576660f, 0.592285f, 0.608887f, + 0.625000f, 0.640625f, 0.819336f, 0.822266f, 0.818848f, 0.813965f, 0.810059f, 0.805664f, + 0.002201f, 0.007240f, 0.011803f, 0.016617f, 0.021622f, 0.027344f, 0.032288f, 0.037598f, + 0.043427f, 0.049194f, 0.055267f, 0.061462f, 0.067566f, 0.073853f, 0.080872f, 0.088013f, + 0.095703f, 0.103821f, 0.111145f, 0.119446f, 0.127563f, 0.136597f, 0.145752f, 0.155273f, + 0.165039f, 0.174683f, 0.185181f, 0.195801f, 0.206543f, 0.218140f, 0.229370f, 0.241455f, + 0.253174f, 0.265381f, 0.278564f, 0.291504f, 0.304199f, 0.317383f, 0.331299f, 0.344971f, + 0.358643f, 0.373291f, 0.386963f, 0.402100f, 0.416016f, 0.431641f, 0.447266f, 0.462646f, + 0.477295f, 0.493652f, 0.509277f, 0.524902f, 0.541504f, 0.557617f, 0.574219f, 0.589844f, + 0.605957f, 0.623047f, 0.810059f, 0.814453f, 0.811035f, 0.807129f, 0.803223f, 0.798828f, + 0.002293f, 0.006927f, 0.010994f, 0.015617f, 0.020584f, 0.025131f, 0.029663f, 0.034760f, + 0.040192f, 0.045532f, 0.050964f, 0.056793f, 0.062805f, 0.068726f, 0.074890f, 0.081482f, + 0.088806f, 0.096069f, 0.103333f, 0.110535f, 0.118896f, 0.126709f, 0.135254f, 0.144165f, + 0.153442f, 0.162720f, 0.172119f, 0.182495f, 0.192749f, 0.203735f, 0.214600f, 0.225952f, + 0.237793f, 0.250000f, 0.261719f, 0.274170f, 0.287354f, 0.300293f, 0.313477f, 0.326904f, + 0.340820f, 0.354980f, 0.369385f, 0.383545f, 0.396973f, 0.411865f, 0.427734f, 0.442871f, + 0.458740f, 0.473633f, 0.489502f, 0.505859f, 0.522461f, 0.537598f, 0.553711f, 0.572754f, + 0.588379f, 0.604492f, 0.802246f, 0.807617f, 0.804199f, 0.800781f, 0.797363f, 0.792969f, + 0.002081f, 0.006172f, 0.010460f, 0.014503f, 0.019104f, 0.023163f, 0.027832f, 0.032410f, + 0.037354f, 0.041992f, 0.047211f, 0.052490f, 0.057831f, 0.063232f, 0.069458f, 0.075317f, + 0.082153f, 0.088257f, 0.094910f, 0.102295f, 0.110107f, 0.117554f, 0.125122f, 0.133667f, + 0.142456f, 0.151001f, 0.160767f, 0.169922f, 0.179443f, 0.190430f, 0.200562f, 0.211914f, + 0.222412f, 0.234009f, 0.245850f, 0.258545f, 0.270752f, 0.283203f, 0.296387f, 0.309082f, + 0.322998f, 0.336670f, 0.350098f, 0.364990f, 0.378906f, 0.393311f, 0.408936f, 0.423096f, + 0.438965f, 0.454834f, 0.470703f, 0.486572f, 0.502441f, 0.518555f, 0.534668f, 0.551270f, + 0.569336f, 0.585938f, 0.792480f, 0.799316f, 0.797363f, 0.793457f, 0.790039f, 0.786621f, + 0.002028f, 0.005669f, 0.009705f, 0.013565f, 0.017532f, 0.021286f, 0.025574f, 0.030197f, + 0.034180f, 0.038757f, 0.043488f, 0.048737f, 0.053497f, 0.058594f, 0.064026f, 0.070007f, + 0.075623f, 0.081360f, 0.088135f, 0.094238f, 0.101379f, 0.108643f, 0.116028f, 0.123718f, + 0.131592f, 0.140137f, 0.149048f, 0.157715f, 0.167114f, 0.176636f, 0.187012f, 0.197388f, + 0.208130f, 0.219238f, 0.230347f, 0.241943f, 0.254150f, 0.266113f, 0.279053f, 0.291504f, + 0.304932f, 0.318848f, 0.332031f, 0.345947f, 0.360107f, 0.375000f, 0.389404f, 0.404541f, + 0.419922f, 0.434814f, 0.450684f, 0.466553f, 0.482910f, 0.499023f, 0.516113f, 0.533203f, + 0.550293f, 0.567383f, 0.783203f, 0.790527f, 0.789551f, 0.786621f, 0.783691f, 0.780762f, + 0.001852f, 0.005554f, 0.008957f, 0.012642f, 0.016296f, 0.020172f, 0.024033f, 0.027878f, + 0.031677f, 0.035919f, 0.040253f, 0.044952f, 0.049255f, 0.053955f, 0.058960f, 0.063965f, + 0.069336f, 0.074951f, 0.080933f, 0.087219f, 0.093201f, 0.100159f, 0.106689f, 0.114197f, + 0.121521f, 0.129517f, 0.137817f, 0.146118f, 0.155151f, 0.164307f, 0.173462f, 0.183472f, + 0.193970f, 0.204224f, 0.215210f, 0.226562f, 0.238037f, 0.250244f, 0.262451f, 0.274902f, + 0.287598f, 0.301025f, 0.314209f, 0.327393f, 0.342041f, 0.356445f, 0.370850f, 0.385254f, + 0.400879f, 0.415771f, 0.431396f, 0.446777f, 0.463379f, 0.480469f, 0.497314f, 0.514160f, + 0.530273f, 0.547363f, 0.774414f, 0.783203f, 0.782715f, 0.779297f, 0.776367f, 0.773438f, + 0.001690f, 0.005207f, 0.008278f, 0.011696f, 0.015068f, 0.018784f, 0.022186f, 0.025909f, + 0.029221f, 0.033508f, 0.037109f, 0.041321f, 0.045471f, 0.049774f, 0.054108f, 0.058838f, + 0.063843f, 0.069214f, 0.074280f, 0.080078f, 0.086243f, 0.091980f, 0.098083f, 0.105164f, + 0.111877f, 0.119446f, 0.126953f, 0.134888f, 0.143555f, 0.151978f, 0.161133f, 0.170532f, + 0.180176f, 0.189697f, 0.200684f, 0.211182f, 0.222412f, 0.234009f, 0.245972f, 0.257568f, + 0.270508f, 0.282959f, 0.295898f, 0.309570f, 0.323486f, 0.337158f, 0.351562f, 0.366211f, + 0.381104f, 0.396729f, 0.411865f, 0.427490f, 0.443604f, 0.459961f, 0.477051f, 0.494385f, + 0.510742f, 0.529297f, 0.763184f, 0.774902f, 0.773438f, 0.771973f, 0.769043f, 0.767578f, + 0.001528f, 0.004692f, 0.007587f, 0.010956f, 0.014221f, 0.016907f, 0.020218f, 0.023407f, + 0.027283f, 0.030273f, 0.033997f, 0.038055f, 0.041809f, 0.045959f, 0.049683f, 0.053955f, + 0.058838f, 0.063171f, 0.068176f, 0.073120f, 0.078491f, 0.084473f, 0.090332f, 0.096619f, + 0.102905f, 0.109619f, 0.116699f, 0.124207f, 0.131958f, 0.140503f, 0.148438f, 0.157349f, + 0.166626f, 0.176392f, 0.186157f, 0.196045f, 0.207031f, 0.218018f, 0.229736f, 0.241699f, + 0.253174f, 0.265381f, 0.278320f, 0.291748f, 0.305176f, 0.318848f, 0.333496f, 0.347412f, + 0.362305f, 0.376709f, 0.392822f, 0.407715f, 0.424072f, 0.440430f, 0.457031f, 0.473633f, + 0.491211f, 0.508789f, 0.753906f, 0.766602f, 0.767090f, 0.764160f, 0.761719f, 0.759766f, + 0.001261f, 0.004250f, 0.007389f, 0.010185f, 0.013023f, 0.015976f, 0.018692f, 0.021713f, + 0.024734f, 0.028183f, 0.031464f, 0.034943f, 0.038452f, 0.041870f, 0.045410f, 0.049561f, + 0.054047f, 0.058044f, 0.062164f, 0.067017f, 0.071838f, 0.077332f, 0.082581f, 0.088318f, + 0.094360f, 0.100525f, 0.107117f, 0.114258f, 0.121643f, 0.128540f, 0.136841f, 0.144897f, + 0.153931f, 0.162476f, 0.171875f, 0.182007f, 0.192139f, 0.202637f, 0.213623f, 0.224854f, + 0.237183f, 0.248657f, 0.260986f, 0.274170f, 0.287354f, 0.300781f, 0.314453f, 0.328613f, + 0.343018f, 0.358643f, 0.373291f, 0.388916f, 0.404785f, 0.420654f, 0.437744f, 0.454590f, + 0.471924f, 0.489990f, 0.744629f, 0.757812f, 0.757812f, 0.756836f, 0.754395f, 0.752441f, + 0.001527f, 0.004047f, 0.006680f, 0.009369f, 0.012024f, 0.014618f, 0.017288f, 0.020248f, + 0.022705f, 0.025803f, 0.028778f, 0.031769f, 0.034912f, 0.038330f, 0.041595f, 0.045166f, + 0.048737f, 0.052673f, 0.056885f, 0.061218f, 0.065552f, 0.070251f, 0.075012f, 0.080505f, + 0.086060f, 0.091614f, 0.097656f, 0.104065f, 0.110901f, 0.118225f, 0.125366f, 0.133179f, + 0.141357f, 0.149902f, 0.158569f, 0.168213f, 0.177734f, 0.187866f, 0.198364f, 0.208984f, + 0.220581f, 0.232422f, 0.244019f, 0.256836f, 0.269287f, 0.282471f, 0.296143f, 0.309326f, + 0.324463f, 0.338379f, 0.353760f, 0.368652f, 0.385498f, 0.400635f, 0.417725f, 0.434570f, + 0.451660f, 0.469482f, 0.733887f, 0.749023f, 0.750977f, 0.749023f, 0.747070f, 0.744629f, + 0.001313f, 0.003803f, 0.006126f, 0.008507f, 0.011185f, 0.013550f, 0.015839f, 0.018219f, + 0.021027f, 0.023438f, 0.026520f, 0.029129f, 0.031738f, 0.034821f, 0.037964f, 0.041138f, + 0.044434f, 0.048035f, 0.051636f, 0.055420f, 0.059540f, 0.063782f, 0.068176f, 0.073181f, + 0.077881f, 0.083496f, 0.088989f, 0.094849f, 0.101440f, 0.107849f, 0.114441f, 0.121887f, + 0.129395f, 0.137207f, 0.145874f, 0.154419f, 0.163574f, 0.173462f, 0.183228f, 0.193726f, + 0.204712f, 0.216064f, 0.227661f, 0.239624f, 0.251709f, 0.264648f, 0.277832f, 0.291504f, + 0.305664f, 0.320312f, 0.334473f, 0.349854f, 0.365479f, 0.380615f, 0.397217f, 0.414551f, + 0.432129f, 0.449951f, 0.722656f, 0.740234f, 0.741699f, 0.741211f, 0.739746f, 0.737793f, + 0.001137f, 0.003654f, 0.005871f, 0.007881f, 0.010262f, 0.012268f, 0.014496f, 0.017059f, + 0.018890f, 0.021317f, 0.023605f, 0.026291f, 0.029007f, 0.031494f, 0.034515f, 0.036987f, + 0.040375f, 0.043457f, 0.046936f, 0.050385f, 0.053925f, 0.058044f, 0.061981f, 0.066650f, + 0.070679f, 0.075562f, 0.080994f, 0.085938f, 0.091919f, 0.098450f, 0.104370f, 0.110840f, + 0.118164f, 0.125366f, 0.133301f, 0.141357f, 0.150024f, 0.159546f, 0.168457f, 0.178711f, + 0.189453f, 0.199707f, 0.211060f, 0.222656f, 0.234741f, 0.247314f, 0.260010f, 0.272705f, + 0.287354f, 0.300781f, 0.315674f, 0.330322f, 0.345947f, 0.362061f, 0.377441f, 0.394775f, + 0.412109f, 0.429199f, 0.712891f, 0.730957f, 0.733398f, 0.733398f, 0.731445f, 0.729492f, + 0.001163f, 0.003218f, 0.005329f, 0.007542f, 0.009331f, 0.011330f, 0.013367f, 0.015434f, + 0.017685f, 0.019714f, 0.021515f, 0.024139f, 0.026062f, 0.028763f, 0.031204f, 0.033722f, + 0.036163f, 0.039398f, 0.041992f, 0.045624f, 0.048553f, 0.051971f, 0.056000f, 0.059937f, + 0.063904f, 0.068054f, 0.072876f, 0.077820f, 0.083374f, 0.088623f, 0.094116f, 0.100830f, + 0.107117f, 0.114197f, 0.121399f, 0.129272f, 0.136963f, 0.145630f, 0.154785f, 0.163696f, + 0.173828f, 0.184204f, 0.194946f, 0.205933f, 0.217529f, 0.229614f, 0.242676f, 0.255859f, + 0.269043f, 0.282471f, 0.296387f, 0.311523f, 0.326172f, 0.341553f, 0.357910f, 0.374756f, + 0.391846f, 0.409180f, 0.701660f, 0.721680f, 0.723633f, 0.724609f, 0.723145f, 0.722656f, + 0.001008f, 0.003147f, 0.004818f, 0.006882f, 0.008530f, 0.010468f, 0.012390f, 0.013832f, + 0.016006f, 0.017899f, 0.019608f, 0.021866f, 0.023849f, 0.025940f, 0.027847f, 0.030350f, + 0.032806f, 0.035187f, 0.037994f, 0.040619f, 0.043732f, 0.046875f, 0.050110f, 0.053833f, + 0.057617f, 0.061371f, 0.065613f, 0.070068f, 0.074768f, 0.079895f, 0.085144f, 0.090637f, + 0.096863f, 0.103149f, 0.110107f, 0.116943f, 0.124634f, 0.132568f, 0.140991f, 0.149536f, + 0.159302f, 0.169189f, 0.179443f, 0.189575f, 0.201538f, 0.213013f, 0.225342f, 0.236938f, + 0.250244f, 0.264160f, 0.278320f, 0.292236f, 0.307617f, 0.322021f, 0.337891f, 0.354248f, + 0.371582f, 0.389160f, 0.689941f, 0.712891f, 0.715820f, 0.715820f, 0.715820f, 0.714355f, + 0.001126f, 0.002708f, 0.004486f, 0.006313f, 0.007927f, 0.009659f, 0.011238f, 0.012833f, + 0.014435f, 0.015823f, 0.017670f, 0.019485f, 0.021347f, 0.023453f, 0.025101f, 0.027161f, + 0.029160f, 0.031525f, 0.033752f, 0.036560f, 0.039154f, 0.041687f, 0.044891f, 0.047943f, + 0.051453f, 0.054871f, 0.058655f, 0.062622f, 0.067078f, 0.071411f, 0.076355f, 0.081665f, + 0.086792f, 0.092957f, 0.098877f, 0.105713f, 0.112549f, 0.119995f, 0.127563f, 0.135864f, + 0.144897f, 0.154297f, 0.164185f, 0.173828f, 0.185059f, 0.196045f, 0.208008f, 0.219849f, + 0.232666f, 0.245483f, 0.259033f, 0.273438f, 0.287842f, 0.302734f, 0.318604f, 0.334473f, + 0.351318f, 0.369385f, 0.679688f, 0.702637f, 0.707031f, 0.707031f, 0.707031f, 0.705566f, + 0.000980f, 0.002733f, 0.004021f, 0.005688f, 0.007084f, 0.008553f, 0.010345f, 0.011513f, + 0.012962f, 0.014297f, 0.015823f, 0.017609f, 0.019119f, 0.020721f, 0.022568f, 0.024200f, + 0.026291f, 0.028000f, 0.030457f, 0.032410f, 0.034912f, 0.037476f, 0.039734f, 0.042786f, + 0.045563f, 0.048920f, 0.052185f, 0.055817f, 0.059662f, 0.063660f, 0.067993f, 0.072632f, + 0.077759f, 0.083191f, 0.088623f, 0.094971f, 0.101135f, 0.107849f, 0.115479f, 0.122864f, + 0.131592f, 0.139893f, 0.149414f, 0.158447f, 0.169067f, 0.179443f, 0.191040f, 0.202393f, + 0.214478f, 0.227539f, 0.240723f, 0.255127f, 0.268555f, 0.283447f, 0.298828f, 0.315186f, + 0.331787f, 0.348389f, 0.667480f, 0.693359f, 0.697754f, 0.698730f, 0.698242f, 0.697754f, + 0.000870f, 0.002420f, 0.003994f, 0.005165f, 0.006584f, 0.007763f, 0.009209f, 0.010468f, + 0.011604f, 0.013336f, 0.013977f, 0.015442f, 0.016830f, 0.018509f, 0.020065f, 0.021606f, + 0.023224f, 0.024933f, 0.026672f, 0.028656f, 0.030914f, 0.033112f, 0.035187f, 0.037689f, + 0.040344f, 0.043335f, 0.046234f, 0.049438f, 0.052948f, 0.056427f, 0.060394f, 0.064331f, + 0.069031f, 0.073853f, 0.078735f, 0.084412f, 0.090271f, 0.096436f, 0.103455f, 0.110229f, + 0.118042f, 0.126099f, 0.134766f, 0.143921f, 0.153198f, 0.163696f, 0.174438f, 0.185913f, + 0.197754f, 0.210083f, 0.222778f, 0.235962f, 0.250000f, 0.264648f, 0.279053f, 0.294922f, + 0.311279f, 0.328613f, 0.655273f, 0.684082f, 0.688477f, 0.689941f, 0.689941f, 0.689941f, + 0.000790f, 0.002153f, 0.003576f, 0.004726f, 0.005966f, 0.007172f, 0.008186f, 0.009453f, + 0.010521f, 0.011482f, 0.012772f, 0.013771f, 0.015144f, 0.016434f, 0.017792f, 0.019226f, + 0.020355f, 0.022049f, 0.023666f, 0.025375f, 0.027145f, 0.029297f, 0.030975f, 0.033142f, + 0.035339f, 0.037964f, 0.040405f, 0.043365f, 0.046478f, 0.049744f, 0.053101f, 0.057068f, + 0.060944f, 0.065063f, 0.069763f, 0.074646f, 0.079956f, 0.085938f, 0.091675f, 0.098083f, + 0.105164f, 0.112732f, 0.121033f, 0.129395f, 0.138428f, 0.148560f, 0.158325f, 0.169067f, + 0.180664f, 0.192139f, 0.205078f, 0.217529f, 0.231934f, 0.246094f, 0.260010f, 0.275391f, + 0.292236f, 0.309570f, 0.644043f, 0.673340f, 0.678711f, 0.680664f, 0.680664f, 0.680176f, + 0.000538f, 0.002022f, 0.003185f, 0.004456f, 0.005360f, 0.006321f, 0.007286f, 0.008484f, + 0.009422f, 0.010185f, 0.011177f, 0.012283f, 0.013191f, 0.014435f, 0.015587f, 0.016769f, + 0.017914f, 0.019302f, 0.020584f, 0.022171f, 0.023819f, 0.025391f, 0.027222f, 0.028992f, + 0.030914f, 0.033234f, 0.035461f, 0.037903f, 0.040649f, 0.043396f, 0.046326f, 0.049561f, + 0.053131f, 0.056946f, 0.061279f, 0.065613f, 0.070374f, 0.075439f, 0.080811f, 0.086731f, + 0.093140f, 0.100037f, 0.107544f, 0.115662f, 0.124023f, 0.132935f, 0.143066f, 0.153320f, + 0.163696f, 0.175415f, 0.187012f, 0.200195f, 0.213013f, 0.227173f, 0.241455f, 0.256592f, + 0.272461f, 0.288330f, 0.632812f, 0.663574f, 0.669434f, 0.670898f, 0.671387f, 0.671875f, + 0.000686f, 0.001864f, 0.002884f, 0.003883f, 0.004829f, 0.005592f, 0.006504f, 0.007454f, + 0.008064f, 0.008995f, 0.009850f, 0.010948f, 0.011711f, 0.012581f, 0.013763f, 0.014618f, + 0.015701f, 0.016953f, 0.018112f, 0.019180f, 0.020691f, 0.021973f, 0.023560f, 0.025192f, + 0.026962f, 0.028717f, 0.030624f, 0.032959f, 0.035004f, 0.037567f, 0.040314f, 0.043121f, + 0.046204f, 0.049713f, 0.053284f, 0.057129f, 0.061157f, 0.065796f, 0.071167f, 0.076477f, + 0.082214f, 0.088379f, 0.095276f, 0.102600f, 0.110596f, 0.118652f, 0.127808f, 0.137817f, + 0.147705f, 0.158569f, 0.170166f, 0.182251f, 0.195068f, 0.208008f, 0.222656f, 0.237671f, + 0.252686f, 0.269287f, 0.620605f, 0.653320f, 0.659180f, 0.661621f, 0.663086f, 0.663574f, + 0.000782f, 0.001828f, 0.002949f, 0.003487f, 0.004421f, 0.005032f, 0.005878f, 0.006557f, + 0.007332f, 0.008110f, 0.008591f, 0.009537f, 0.010094f, 0.011147f, 0.011864f, 0.012779f, + 0.013573f, 0.014549f, 0.015625f, 0.016846f, 0.017822f, 0.018936f, 0.020279f, 0.021729f, + 0.023117f, 0.024704f, 0.026505f, 0.028183f, 0.030289f, 0.032349f, 0.034546f, 0.037109f, + 0.039703f, 0.042786f, 0.045837f, 0.049133f, 0.053009f, 0.056763f, 0.061584f, 0.066284f, + 0.071411f, 0.076843f, 0.083191f, 0.089722f, 0.097290f, 0.104919f, 0.113647f, 0.122498f, + 0.132324f, 0.142578f, 0.153809f, 0.164917f, 0.177612f, 0.190430f, 0.203857f, 0.218506f, + 0.233887f, 0.249390f, 0.606934f, 0.642578f, 0.649414f, 0.653320f, 0.652832f, 0.654785f, + 0.000604f, 0.001636f, 0.002550f, 0.003180f, 0.003799f, 0.004498f, 0.005051f, 0.005573f, + 0.006325f, 0.006836f, 0.007607f, 0.008087f, 0.008820f, 0.009483f, 0.010132f, 0.010918f, + 0.011665f, 0.012527f, 0.013535f, 0.014297f, 0.015251f, 0.016190f, 0.017288f, 0.018433f, + 0.019791f, 0.021133f, 0.022400f, 0.023865f, 0.025742f, 0.027664f, 0.029373f, 0.031677f, + 0.034027f, 0.036255f, 0.039032f, 0.042023f, 0.045197f, 0.048798f, 0.052643f, 0.056824f, + 0.061493f, 0.066467f, 0.072327f, 0.078308f, 0.084473f, 0.091858f, 0.099609f, 0.108032f, + 0.117249f, 0.126831f, 0.137451f, 0.148193f, 0.160034f, 0.172729f, 0.186035f, 0.199829f, + 0.214722f, 0.229980f, 0.596680f, 0.632812f, 0.638672f, 0.642578f, 0.644531f, 0.645020f, + 0.000447f, 0.001384f, 0.001986f, 0.002697f, 0.003225f, 0.003828f, 0.004501f, 0.005009f, + 0.005459f, 0.006027f, 0.006474f, 0.006935f, 0.007591f, 0.008217f, 0.008644f, 0.009308f, + 0.010025f, 0.010498f, 0.011330f, 0.012100f, 0.012909f, 0.013924f, 0.014618f, 0.015610f, + 0.016739f, 0.017807f, 0.019043f, 0.020340f, 0.021622f, 0.023178f, 0.024979f, 0.026520f, + 0.028366f, 0.030640f, 0.032959f, 0.035492f, 0.038239f, 0.041260f, 0.044495f, 0.048340f, + 0.052399f, 0.056732f, 0.061768f, 0.067017f, 0.072754f, 0.079224f, 0.086304f, 0.093994f, + 0.102478f, 0.111511f, 0.121521f, 0.132080f, 0.143311f, 0.155518f, 0.168213f, 0.181763f, + 0.196411f, 0.211548f, 0.583008f, 0.621094f, 0.629395f, 0.632324f, 0.634766f, 0.635742f, + 0.000375f, 0.001324f, 0.001728f, 0.002466f, 0.002872f, 0.003384f, 0.003685f, 0.004185f, + 0.004845f, 0.005184f, 0.005444f, 0.006130f, 0.006401f, 0.006844f, 0.007446f, 0.007957f, + 0.008636f, 0.008965f, 0.009659f, 0.010139f, 0.010971f, 0.011742f, 0.012497f, 0.013138f, + 0.014099f, 0.014992f, 0.015900f, 0.017166f, 0.018143f, 0.019485f, 0.020676f, 0.022156f, + 0.023697f, 0.025528f, 0.027374f, 0.029556f, 0.031921f, 0.034424f, 0.037445f, 0.040375f, + 0.044067f, 0.047577f, 0.052155f, 0.056824f, 0.062042f, 0.067688f, 0.074158f, 0.081055f, + 0.088745f, 0.097351f, 0.106323f, 0.116455f, 0.127075f, 0.138672f, 0.151123f, 0.164062f, + 0.177856f, 0.192871f, 0.570801f, 0.610840f, 0.619629f, 0.623047f, 0.625488f, 0.625977f, + 0.000432f, 0.000921f, 0.001664f, 0.002056f, 0.002697f, 0.003061f, 0.003326f, 0.003757f, + 0.004044f, 0.004379f, 0.004761f, 0.004948f, 0.005463f, 0.005791f, 0.006199f, 0.006752f, + 0.007229f, 0.007526f, 0.008156f, 0.008621f, 0.009193f, 0.009712f, 0.010330f, 0.010994f, + 0.011688f, 0.012466f, 0.013374f, 0.014153f, 0.015099f, 0.016083f, 0.017212f, 0.018250f, + 0.019623f, 0.021210f, 0.022614f, 0.024445f, 0.026321f, 0.028351f, 0.030762f, 0.033325f, + 0.036377f, 0.039642f, 0.043304f, 0.047485f, 0.051880f, 0.056885f, 0.062469f, 0.068542f, + 0.075623f, 0.083374f, 0.091919f, 0.101135f, 0.111389f, 0.122559f, 0.134277f, 0.146606f, + 0.160278f, 0.174683f, 0.557617f, 0.600098f, 0.609375f, 0.612793f, 0.615723f, 0.616699f, + 0.000255f, 0.000997f, 0.001393f, 0.001908f, 0.002239f, 0.002512f, 0.002720f, 0.003166f, + 0.003283f, 0.003616f, 0.003866f, 0.004223f, 0.004597f, 0.004795f, 0.005127f, 0.005573f, + 0.005939f, 0.006359f, 0.006657f, 0.007133f, 0.007687f, 0.008041f, 0.008545f, 0.009087f, + 0.009636f, 0.010300f, 0.010910f, 0.011757f, 0.012489f, 0.013313f, 0.014153f, 0.014954f, + 0.016037f, 0.017258f, 0.018555f, 0.019867f, 0.021530f, 0.023239f, 0.025055f, 0.027252f, + 0.029663f, 0.032379f, 0.035339f, 0.038666f, 0.042664f, 0.047058f, 0.051849f, 0.057465f, + 0.063416f, 0.070557f, 0.078369f, 0.086731f, 0.096313f, 0.106384f, 0.117798f, 0.129761f, + 0.143311f, 0.156982f, 0.544922f, 0.588867f, 0.599121f, 0.602539f, 0.605469f, 0.606445f, + 0.000353f, 0.000879f, 0.001276f, 0.001613f, 0.001785f, 0.002075f, 0.002300f, 0.002501f, + 0.002808f, 0.003010f, 0.003283f, 0.003487f, 0.003714f, 0.003967f, 0.004269f, 0.004597f, + 0.004837f, 0.005230f, 0.005512f, 0.005878f, 0.006203f, 0.006626f, 0.007030f, 0.007519f, + 0.007866f, 0.008354f, 0.009010f, 0.009468f, 0.010017f, 0.010765f, 0.011444f, 0.012291f, + 0.013100f, 0.014030f, 0.015030f, 0.016098f, 0.017441f, 0.018646f, 0.020157f, 0.021912f, + 0.023804f, 0.026047f, 0.028488f, 0.031342f, 0.034424f, 0.037994f, 0.042206f, 0.046997f, + 0.052338f, 0.058533f, 0.065369f, 0.073364f, 0.081787f, 0.091492f, 0.102356f, 0.113647f, + 0.126343f, 0.139526f, 0.531250f, 0.579102f, 0.587891f, 0.592773f, 0.595703f, 0.596680f, + 0.000295f, 0.000784f, 0.000912f, 0.001261f, 0.001517f, 0.001761f, 0.001893f, 0.002113f, + 0.002211f, 0.002432f, 0.002676f, 0.002861f, 0.002993f, 0.003294f, 0.003479f, 0.003700f, + 0.003933f, 0.004242f, 0.004452f, 0.004745f, 0.004974f, 0.005428f, 0.005642f, 0.006081f, + 0.006401f, 0.006817f, 0.007240f, 0.007641f, 0.008209f, 0.008667f, 0.009361f, 0.009720f, + 0.010506f, 0.011261f, 0.012024f, 0.012794f, 0.013840f, 0.014893f, 0.016113f, 0.017395f, + 0.018860f, 0.020493f, 0.022446f, 0.024658f, 0.027283f, 0.030228f, 0.033691f, 0.037659f, + 0.042145f, 0.047546f, 0.053467f, 0.060547f, 0.068359f, 0.077332f, 0.087158f, 0.098145f, + 0.109741f, 0.123230f, 0.517090f, 0.566895f, 0.576660f, 0.581543f, 0.584961f, 0.587402f, + 0.000247f, 0.000702f, 0.000849f, 0.001033f, 0.001304f, 0.001416f, 0.001576f, 0.001754f, + 0.001860f, 0.001953f, 0.002104f, 0.002327f, 0.002419f, 0.002651f, 0.002785f, 0.003014f, + 0.003134f, 0.003315f, 0.003584f, 0.003813f, 0.004078f, 0.004295f, 0.004555f, 0.004784f, + 0.005013f, 0.005329f, 0.005669f, 0.006069f, 0.006439f, 0.006821f, 0.007381f, 0.007797f, + 0.008301f, 0.008812f, 0.009430f, 0.010139f, 0.010948f, 0.011642f, 0.012573f, 0.013664f, + 0.014671f, 0.016052f, 0.017502f, 0.019135f, 0.021255f, 0.023438f, 0.026199f, 0.029312f, + 0.033203f, 0.037476f, 0.042725f, 0.048828f, 0.055695f, 0.063721f, 0.072937f, 0.082947f, + 0.094666f, 0.107117f, 0.504883f, 0.555664f, 0.566406f, 0.572754f, 0.574707f, 0.577148f, + 0.000217f, 0.000516f, 0.000750f, 0.000898f, 0.001011f, 0.001117f, 0.001203f, 0.001307f, + 0.001470f, 0.001604f, 0.001659f, 0.001750f, 0.001945f, 0.002121f, 0.002249f, 0.002316f, + 0.002478f, 0.002581f, 0.002832f, 0.003000f, 0.003164f, 0.003334f, 0.003593f, 0.003784f, + 0.003990f, 0.004196f, 0.004440f, 0.004673f, 0.005035f, 0.005329f, 0.005642f, 0.005981f, + 0.006462f, 0.006916f, 0.007313f, 0.007805f, 0.008377f, 0.008987f, 0.009727f, 0.010521f, + 0.011314f, 0.012421f, 0.013466f, 0.014755f, 0.016235f, 0.017914f, 0.019913f, 0.022461f, + 0.025330f, 0.028778f, 0.033081f, 0.038239f, 0.044189f, 0.051422f, 0.059662f, 0.069336f, + 0.080200f, 0.091980f, 0.492676f, 0.543945f, 0.555664f, 0.561035f, 0.564453f, 0.566406f, + 0.000131f, 0.000355f, 0.000605f, 0.000759f, 0.000832f, 0.000904f, 0.001018f, 0.000975f, + 0.001144f, 0.001235f, 0.001336f, 0.001447f, 0.001518f, 0.001620f, 0.001668f, 0.001835f, + 0.001901f, 0.002045f, 0.002188f, 0.002270f, 0.002424f, 0.002577f, 0.002707f, 0.002893f, + 0.003002f, 0.003223f, 0.003407f, 0.003572f, 0.003851f, 0.004017f, 0.004391f, 0.004608f, + 0.004833f, 0.005203f, 0.005497f, 0.005886f, 0.006351f, 0.006771f, 0.007278f, 0.007858f, + 0.008560f, 0.009315f, 0.010086f, 0.011078f, 0.012222f, 0.013443f, 0.015022f, 0.016769f, + 0.018967f, 0.021591f, 0.024780f, 0.028931f, 0.033875f, 0.039734f, 0.047241f, 0.056122f, + 0.066101f, 0.077637f, 0.477783f, 0.532715f, 0.544922f, 0.551270f, 0.553711f, 0.555664f, + 0.000245f, 0.000303f, 0.000473f, 0.000498f, 0.000544f, 0.000707f, 0.000700f, 0.000767f, + 0.000802f, 0.000892f, 0.001021f, 0.001086f, 0.001140f, 0.001260f, 0.001303f, 0.001325f, + 0.001462f, 0.001553f, 0.001603f, 0.001746f, 0.001816f, 0.001904f, 0.002043f, 0.002127f, + 0.002254f, 0.002356f, 0.002548f, 0.002672f, 0.002851f, 0.003092f, 0.003265f, 0.003374f, + 0.003647f, 0.003891f, 0.004097f, 0.004360f, 0.004669f, 0.004997f, 0.005390f, 0.005810f, + 0.006226f, 0.006756f, 0.007450f, 0.008095f, 0.008934f, 0.009827f, 0.010902f, 0.012268f, + 0.013840f, 0.015701f, 0.018036f, 0.021072f, 0.024948f, 0.029800f, 0.035980f, 0.043945f, + 0.053345f, 0.063843f, 0.465576f, 0.520996f, 0.535645f, 0.540039f, 0.543457f, 0.545898f, + 0.000108f, 0.000275f, 0.000332f, 0.000402f, 0.000462f, 0.000468f, 0.000580f, 0.000522f, + 0.000616f, 0.000657f, 0.000758f, 0.000762f, 0.000812f, 0.000870f, 0.000945f, 0.000978f, + 0.001054f, 0.001109f, 0.001179f, 0.001213f, 0.001311f, 0.001371f, 0.001473f, 0.001558f, + 0.001629f, 0.001718f, 0.001837f, 0.001903f, 0.002016f, 0.002159f, 0.002258f, 0.002478f, + 0.002548f, 0.002731f, 0.002909f, 0.003086f, 0.003317f, 0.003580f, 0.003885f, 0.004116f, + 0.004421f, 0.004818f, 0.005264f, 0.005745f, 0.006294f, 0.006966f, 0.007748f, 0.008667f, + 0.009766f, 0.011086f, 0.012787f, 0.014908f, 0.017746f, 0.021271f, 0.026382f, 0.032990f, + 0.041199f, 0.051239f, 0.452393f, 0.509277f, 0.522461f, 0.529297f, 0.533203f, 0.535156f, + 0.000016f, 0.000143f, 0.000244f, 0.000315f, 0.000309f, 0.000391f, 0.000344f, 0.000402f, + 0.000429f, 0.000517f, 0.000522f, 0.000526f, 0.000546f, 0.000606f, 0.000628f, 0.000705f, + 0.000692f, 0.000781f, 0.000837f, 0.000868f, 0.000923f, 0.000969f, 0.001013f, 0.001070f, + 0.001142f, 0.001186f, 0.001273f, 0.001326f, 0.001397f, 0.001534f, 0.001561f, 0.001685f, + 0.001775f, 0.001873f, 0.002024f, 0.002153f, 0.002272f, 0.002443f, 0.002611f, 0.002800f, + 0.003014f, 0.003250f, 0.003529f, 0.003868f, 0.004227f, 0.004692f, 0.005192f, 0.005836f, + 0.006603f, 0.007587f, 0.008751f, 0.010193f, 0.012001f, 0.014610f, 0.018219f, 0.023392f, + 0.030594f, 0.039795f, 0.437744f, 0.498291f, 0.512207f, 0.517578f, 0.521484f, 0.525391f, + 0.000102f, 0.000186f, 0.000171f, 0.000181f, 0.000227f, 0.000229f, 0.000231f, 0.000278f, + 0.000293f, 0.000304f, 0.000314f, 0.000375f, 0.000365f, 0.000411f, 0.000446f, 0.000457f, + 0.000496f, 0.000513f, 0.000533f, 0.000554f, 0.000603f, 0.000622f, 0.000669f, 0.000708f, + 0.000757f, 0.000789f, 0.000843f, 0.000875f, 0.000925f, 0.000964f, 0.001037f, 0.001094f, + 0.001172f, 0.001243f, 0.001324f, 0.001373f, 0.001497f, 0.001570f, 0.001712f, 0.001829f, + 0.001947f, 0.002123f, 0.002291f, 0.002472f, 0.002703f, 0.003008f, 0.003342f, 0.003757f, + 0.004204f, 0.004810f, 0.005539f, 0.006554f, 0.007828f, 0.009537f, 0.011894f, 0.015442f, + 0.021072f, 0.029282f, 0.424561f, 0.486084f, 0.500488f, 0.506836f, 0.512207f, 0.514648f, + 0.000014f, 0.000127f, 0.000112f, 0.000109f, 0.000143f, 0.000165f, 0.000141f, 0.000180f, + 0.000185f, 0.000191f, 0.000196f, 0.000203f, 0.000233f, 0.000252f, 0.000260f, 0.000274f, + 0.000288f, 0.000314f, 0.000328f, 0.000363f, 0.000362f, 0.000374f, 0.000400f, 0.000436f, + 0.000464f, 0.000501f, 0.000504f, 0.000521f, 0.000563f, 0.000593f, 0.000635f, 0.000671f, + 0.000712f, 0.000740f, 0.000800f, 0.000837f, 0.000892f, 0.000955f, 0.001030f, 0.001092f, + 0.001167f, 0.001270f, 0.001369f, 0.001491f, 0.001626f, 0.001769f, 0.001993f, 0.002209f, + 0.002523f, 0.002863f, 0.003325f, 0.003880f, 0.004715f, 0.005764f, 0.007320f, 0.009468f, + 0.013344f, 0.020187f, 0.410645f, 0.473877f, 0.489258f, 0.496826f, 0.500488f, 0.503906f, + 0.000103f, 0.000078f, 0.000067f, 0.000065f, 0.000086f, 0.000085f, 0.000101f, 0.000106f, + 0.000106f, 0.000107f, 0.000115f, 0.000133f, 0.000118f, 0.000133f, 0.000154f, 0.000150f, + 0.000167f, 0.000177f, 0.000180f, 0.000190f, 0.000207f, 0.000213f, 0.000228f, 0.000238f, + 0.000267f, 0.000277f, 0.000287f, 0.000298f, 0.000313f, 0.000325f, 0.000347f, 0.000375f, + 0.000393f, 0.000405f, 0.000440f, 0.000463f, 0.000486f, 0.000527f, 0.000562f, 0.000599f, + 0.000639f, 0.000688f, 0.000757f, 0.000807f, 0.000879f, 0.000961f, 0.001059f, 0.001180f, + 0.001342f, 0.001533f, 0.001762f, 0.002102f, 0.002502f, 0.003128f, 0.004028f, 0.005379f, + 0.007591f, 0.012505f, 0.397217f, 0.462891f, 0.478760f, 0.485840f, 0.490479f, 0.492676f, + 0.000087f, 0.000063f, 0.000054f, 0.000048f, 0.000047f, 0.000044f, 0.000046f, 0.000047f, + 0.000047f, 0.000060f, 0.000053f, 0.000056f, 0.000072f, 0.000060f, 0.000064f, 0.000069f, + 0.000078f, 0.000085f, 0.000084f, 0.000090f, 0.000094f, 0.000102f, 0.000105f, 0.000111f, + 0.000116f, 0.000126f, 0.000132f, 0.000150f, 0.000147f, 0.000158f, 0.000167f, 0.000178f, + 0.000185f, 0.000192f, 0.000211f, 0.000216f, 0.000226f, 0.000246f, 0.000265f, 0.000284f, + 0.000299f, 0.000325f, 0.000349f, 0.000381f, 0.000415f, 0.000448f, 0.000490f, 0.000544f, + 0.000612f, 0.000694f, 0.000798f, 0.000943f, 0.001139f, 0.001436f, 0.001870f, 0.002586f, + 0.003817f, 0.006474f, 0.383545f, 0.450195f, 0.467041f, 0.474365f, 0.478760f, 0.482422f, + 0.000065f, 0.000045f, 0.000037f, 0.000033f, 0.000030f, 0.000028f, 0.000026f, 0.000025f, + 0.000024f, 0.000022f, 0.000021f, 0.000025f, 0.000020f, 0.000021f, 0.000025f, 0.000029f, + 0.000028f, 0.000031f, 0.000033f, 0.000034f, 0.000036f, 0.000041f, 0.000045f, 0.000040f, + 0.000045f, 0.000049f, 0.000051f, 0.000048f, 0.000055f, 0.000057f, 0.000061f, 0.000066f, + 0.000072f, 0.000068f, 0.000073f, 0.000078f, 0.000087f, 0.000089f, 0.000097f, 0.000104f, + 0.000113f, 0.000115f, 0.000128f, 0.000137f, 0.000148f, 0.000160f, 0.000174f, 0.000194f, + 0.000221f, 0.000248f, 0.000283f, 0.000324f, 0.000396f, 0.000496f, 0.000657f, 0.000928f, + 0.001479f, 0.002684f, 0.371094f, 0.438477f, 0.455078f, 0.463867f, 0.468750f, 0.471191f, + 0.000029f, 0.000019f, 0.000016f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, + 0.000012f, 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, + 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000007f, 0.000008f, 0.000007f, + 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000011f, 0.000012f, 0.000013f, + 0.000015f, 0.000017f, 0.000018f, 0.000018f, 0.000020f, 0.000019f, 0.000021f, 0.000024f, + 0.000024f, 0.000026f, 0.000028f, 0.000031f, 0.000031f, 0.000035f, 0.000040f, 0.000041f, + 0.000045f, 0.000052f, 0.000059f, 0.000071f, 0.000083f, 0.000099f, 0.000132f, 0.000188f, + 0.000315f, 0.000712f, 0.356934f, 0.426514f, 0.444824f, 0.452637f, 0.457520f, 0.460938f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000001f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000006f, + 0.000010f, 0.000027f, 0.343750f, 0.414795f, 0.433105f, 0.441895f, 0.446289f, 0.449951f, + }, + { + 0.012436f, 0.037598f, 0.062805f, 0.087891f, 0.113037f, 0.137329f, 0.161621f, 0.185425f, + 0.209717f, 0.232544f, 0.255371f, 0.278076f, 0.300049f, 0.321289f, 0.343506f, 0.364014f, + 0.385010f, 0.404785f, 0.424561f, 0.444824f, 0.463623f, 0.482422f, 0.501465f, 0.520020f, + 0.537598f, 0.554688f, 0.572266f, 0.589355f, 0.605957f, 0.622070f, 0.639648f, 0.655273f, + 0.670410f, 0.685547f, 0.700684f, 0.715332f, 0.730469f, 0.744629f, 0.758301f, 0.771973f, + 0.785156f, 0.799316f, 0.812012f, 0.825684f, 0.837891f, 0.850586f, 0.863281f, 0.875000f, + 0.887207f, 0.898926f, 0.910156f, 0.921387f, 0.933105f, 0.944336f, 0.954102f, 0.964844f, + 0.976074f, 0.985840f, 0.978027f, 0.947266f, 0.925781f, 0.907715f, 0.892090f, 0.877930f, + 0.011276f, 0.034546f, 0.058289f, 0.082031f, 0.105469f, 0.128662f, 0.152344f, 0.174805f, + 0.197876f, 0.219604f, 0.241455f, 0.263672f, 0.284912f, 0.306152f, 0.326416f, 0.347168f, + 0.366699f, 0.387695f, 0.406494f, 0.426025f, 0.444824f, 0.463379f, 0.481934f, 0.500000f, + 0.518066f, 0.535645f, 0.552246f, 0.569824f, 0.586426f, 0.603027f, 0.619141f, 0.634766f, + 0.650391f, 0.666016f, 0.681152f, 0.695801f, 0.710938f, 0.725586f, 0.739258f, 0.753906f, + 0.768066f, 0.781250f, 0.794922f, 0.807617f, 0.821289f, 0.833496f, 0.846191f, 0.858398f, + 0.870605f, 0.882812f, 0.894531f, 0.906250f, 0.917480f, 0.929199f, 0.939453f, 0.951660f, + 0.961426f, 0.972656f, 0.971680f, 0.942871f, 0.921875f, 0.904785f, 0.889160f, 0.875977f, + 0.010628f, 0.032288f, 0.054932f, 0.076172f, 0.099060f, 0.121216f, 0.142700f, 0.164795f, + 0.186279f, 0.207642f, 0.229248f, 0.249756f, 0.269531f, 0.291016f, 0.310791f, 0.331543f, + 0.349609f, 0.369385f, 0.388916f, 0.409180f, 0.427246f, 0.444824f, 0.463135f, 0.480713f, + 0.499512f, 0.516602f, 0.533203f, 0.550293f, 0.567383f, 0.583496f, 0.599609f, 0.615723f, + 0.630859f, 0.646973f, 0.661621f, 0.677246f, 0.691895f, 0.705566f, 0.720703f, 0.735352f, + 0.749512f, 0.763184f, 0.776367f, 0.790039f, 0.803223f, 0.816406f, 0.828613f, 0.842285f, + 0.854492f, 0.867676f, 0.878418f, 0.890137f, 0.902832f, 0.913086f, 0.925293f, 0.936035f, + 0.947754f, 0.958008f, 0.964844f, 0.937500f, 0.917480f, 0.901367f, 0.886719f, 0.873535f, + 0.009926f, 0.030167f, 0.050995f, 0.071594f, 0.092346f, 0.113892f, 0.134399f, 0.154663f, + 0.175537f, 0.195679f, 0.216309f, 0.235840f, 0.256104f, 0.276611f, 0.295654f, 0.314453f, + 0.333496f, 0.353027f, 0.370850f, 0.389404f, 0.408936f, 0.427490f, 0.445312f, 0.462891f, + 0.480225f, 0.497803f, 0.513672f, 0.531250f, 0.547363f, 0.563965f, 0.580078f, 0.597168f, + 0.612305f, 0.627930f, 0.642578f, 0.658691f, 0.673340f, 0.687500f, 0.702637f, 0.717285f, + 0.731445f, 0.744629f, 0.758301f, 0.772461f, 0.786133f, 0.799316f, 0.811523f, 0.824707f, + 0.837891f, 0.849121f, 0.861816f, 0.874023f, 0.887207f, 0.898438f, 0.910156f, 0.920898f, + 0.932617f, 0.943848f, 0.958008f, 0.932129f, 0.913086f, 0.897461f, 0.883301f, 0.871094f, + 0.009178f, 0.028107f, 0.047729f, 0.066895f, 0.086182f, 0.106384f, 0.125977f, 0.145386f, + 0.165527f, 0.184937f, 0.203857f, 0.224121f, 0.242676f, 0.261475f, 0.281006f, 0.300049f, + 0.318604f, 0.336426f, 0.355469f, 0.372314f, 0.391113f, 0.409424f, 0.426514f, 0.444092f, + 0.461426f, 0.477783f, 0.495850f, 0.512207f, 0.528809f, 0.544434f, 0.561035f, 0.576660f, + 0.593262f, 0.608398f, 0.623047f, 0.638184f, 0.655273f, 0.668945f, 0.682617f, 0.697754f, + 0.712402f, 0.726562f, 0.740234f, 0.753906f, 0.768066f, 0.781250f, 0.794434f, 0.807617f, + 0.820312f, 0.833496f, 0.845215f, 0.858398f, 0.870605f, 0.881836f, 0.894043f, 0.906738f, + 0.917480f, 0.928711f, 0.951172f, 0.926758f, 0.909180f, 0.893555f, 0.880859f, 0.868164f, + 0.008667f, 0.025986f, 0.044922f, 0.062805f, 0.081421f, 0.099854f, 0.118347f, 0.137085f, + 0.155518f, 0.173828f, 0.193115f, 0.211304f, 0.229858f, 0.248413f, 0.266602f, 0.285400f, + 0.303223f, 0.321045f, 0.339111f, 0.357178f, 0.373779f, 0.391357f, 0.409424f, 0.426270f, + 0.443115f, 0.460449f, 0.476807f, 0.494141f, 0.510254f, 0.526855f, 0.541992f, 0.559082f, + 0.574219f, 0.589355f, 0.605469f, 0.620117f, 0.636230f, 0.649902f, 0.664551f, 0.678711f, + 0.693848f, 0.707031f, 0.723145f, 0.736328f, 0.750977f, 0.762695f, 0.776855f, 0.790039f, + 0.803223f, 0.816406f, 0.828613f, 0.842285f, 0.853516f, 0.866211f, 0.878906f, 0.890625f, + 0.902832f, 0.913574f, 0.944336f, 0.921875f, 0.903809f, 0.889160f, 0.876953f, 0.865234f, + 0.008057f, 0.024658f, 0.041321f, 0.058411f, 0.075989f, 0.093811f, 0.110535f, 0.128784f, + 0.146729f, 0.164307f, 0.182007f, 0.200073f, 0.217773f, 0.234619f, 0.252930f, 0.271240f, + 0.288086f, 0.306152f, 0.322998f, 0.341064f, 0.357910f, 0.374756f, 0.391357f, 0.409180f, + 0.425293f, 0.442383f, 0.458496f, 0.475342f, 0.491455f, 0.507324f, 0.523438f, 0.539551f, + 0.555176f, 0.570312f, 0.585938f, 0.601074f, 0.616699f, 0.631836f, 0.646484f, 0.660645f, + 0.676270f, 0.688477f, 0.704102f, 0.718262f, 0.731445f, 0.745117f, 0.760254f, 0.771484f, + 0.785156f, 0.799316f, 0.812500f, 0.824707f, 0.836914f, 0.850098f, 0.862793f, 0.874512f, + 0.886719f, 0.898438f, 0.937500f, 0.915527f, 0.899414f, 0.885254f, 0.872559f, 0.861816f, + 0.007477f, 0.022919f, 0.038971f, 0.054901f, 0.070801f, 0.087646f, 0.104065f, 0.121155f, + 0.137573f, 0.155029f, 0.171875f, 0.188721f, 0.206177f, 0.222778f, 0.240112f, 0.257080f, + 0.274170f, 0.290283f, 0.308350f, 0.324463f, 0.342041f, 0.358154f, 0.375488f, 0.391113f, + 0.407471f, 0.424561f, 0.440430f, 0.456787f, 0.474121f, 0.489746f, 0.505371f, 0.521484f, + 0.536133f, 0.552246f, 0.565918f, 0.582031f, 0.597168f, 0.613281f, 0.626953f, 0.642578f, + 0.656738f, 0.670898f, 0.684570f, 0.699219f, 0.712891f, 0.727539f, 0.741211f, 0.754395f, + 0.768066f, 0.781738f, 0.794434f, 0.808105f, 0.820312f, 0.833984f, 0.846680f, 0.858887f, + 0.871582f, 0.883301f, 0.930176f, 0.910156f, 0.894043f, 0.880371f, 0.868652f, 0.858398f, + 0.007023f, 0.021240f, 0.036224f, 0.051300f, 0.066467f, 0.082092f, 0.097900f, 0.113892f, + 0.129517f, 0.145752f, 0.161743f, 0.178223f, 0.194702f, 0.210327f, 0.227661f, 0.243408f, + 0.260986f, 0.276855f, 0.292725f, 0.309814f, 0.326172f, 0.342041f, 0.358398f, 0.375732f, + 0.391113f, 0.406982f, 0.422852f, 0.438965f, 0.454590f, 0.471191f, 0.486816f, 0.502441f, + 0.517578f, 0.533203f, 0.548340f, 0.562988f, 0.578613f, 0.593750f, 0.609375f, 0.623535f, + 0.638184f, 0.652832f, 0.666992f, 0.680664f, 0.695312f, 0.708984f, 0.722656f, 0.736816f, + 0.750000f, 0.764160f, 0.777344f, 0.789551f, 0.803223f, 0.816895f, 0.830078f, 0.842773f, + 0.854980f, 0.868652f, 0.922852f, 0.904297f, 0.889160f, 0.875977f, 0.864746f, 0.854492f, + 0.006458f, 0.019913f, 0.033691f, 0.048126f, 0.062744f, 0.077026f, 0.092224f, 0.106567f, + 0.122192f, 0.137207f, 0.152222f, 0.167725f, 0.183838f, 0.199951f, 0.215088f, 0.231323f, + 0.246826f, 0.262695f, 0.279053f, 0.294678f, 0.310547f, 0.326172f, 0.342041f, 0.358887f, + 0.374268f, 0.389893f, 0.405518f, 0.421143f, 0.437012f, 0.452637f, 0.467773f, 0.483643f, + 0.499512f, 0.513672f, 0.529785f, 0.545410f, 0.560059f, 0.575195f, 0.590332f, 0.604980f, + 0.618652f, 0.634277f, 0.648438f, 0.662598f, 0.676270f, 0.690918f, 0.704102f, 0.718750f, + 0.732422f, 0.745605f, 0.760254f, 0.773438f, 0.786621f, 0.801270f, 0.812988f, 0.826172f, + 0.839844f, 0.851562f, 0.915527f, 0.897949f, 0.883789f, 0.871094f, 0.860352f, 0.850586f, + 0.006077f, 0.018921f, 0.031464f, 0.045258f, 0.058411f, 0.072144f, 0.085999f, 0.100220f, + 0.114258f, 0.129028f, 0.143677f, 0.158691f, 0.173584f, 0.188477f, 0.203247f, 0.219238f, + 0.234497f, 0.249634f, 0.264893f, 0.280273f, 0.295410f, 0.310791f, 0.326904f, 0.342285f, + 0.357910f, 0.373535f, 0.388428f, 0.404053f, 0.420166f, 0.435303f, 0.450195f, 0.465332f, + 0.481201f, 0.496338f, 0.511230f, 0.525879f, 0.540527f, 0.556641f, 0.570312f, 0.585938f, + 0.600098f, 0.614746f, 0.629883f, 0.644531f, 0.657715f, 0.672363f, 0.687012f, 0.700684f, + 0.714355f, 0.729004f, 0.742188f, 0.755371f, 0.769531f, 0.782227f, 0.796875f, 0.810059f, + 0.823242f, 0.836426f, 0.907715f, 0.891602f, 0.877930f, 0.866211f, 0.855957f, 0.846680f, + 0.005596f, 0.017654f, 0.029587f, 0.041840f, 0.055115f, 0.067871f, 0.080566f, 0.093994f, + 0.107361f, 0.120911f, 0.134766f, 0.149414f, 0.163452f, 0.177979f, 0.192261f, 0.206787f, + 0.221191f, 0.236816f, 0.250732f, 0.266113f, 0.281250f, 0.295898f, 0.311279f, 0.326904f, + 0.342041f, 0.356201f, 0.371826f, 0.387451f, 0.402344f, 0.417236f, 0.432373f, 0.447266f, + 0.462891f, 0.477539f, 0.492432f, 0.506836f, 0.522949f, 0.536621f, 0.551758f, 0.566895f, + 0.582031f, 0.596191f, 0.610352f, 0.625488f, 0.640625f, 0.653320f, 0.668457f, 0.682617f, + 0.696777f, 0.710449f, 0.724609f, 0.739258f, 0.751465f, 0.765625f, 0.780273f, 0.792480f, + 0.806152f, 0.820801f, 0.899902f, 0.885742f, 0.872070f, 0.861328f, 0.851562f, 0.842285f, + 0.005451f, 0.016479f, 0.028259f, 0.039856f, 0.051331f, 0.063416f, 0.075867f, 0.088196f, + 0.100952f, 0.113770f, 0.126953f, 0.140747f, 0.153564f, 0.167847f, 0.181519f, 0.195679f, + 0.210083f, 0.223633f, 0.237427f, 0.252197f, 0.267334f, 0.281738f, 0.296143f, 0.311035f, + 0.325928f, 0.340332f, 0.355469f, 0.370361f, 0.385010f, 0.400635f, 0.415039f, 0.429688f, + 0.444092f, 0.459717f, 0.474121f, 0.489258f, 0.503906f, 0.519043f, 0.533203f, 0.548828f, + 0.562012f, 0.577637f, 0.591797f, 0.606445f, 0.621582f, 0.635742f, 0.650391f, 0.664551f, + 0.678223f, 0.692871f, 0.706055f, 0.721191f, 0.733887f, 0.747559f, 0.762207f, 0.775879f, + 0.791016f, 0.804199f, 0.892090f, 0.878906f, 0.866699f, 0.855957f, 0.846191f, 0.837891f, + 0.004963f, 0.015343f, 0.026169f, 0.037079f, 0.047943f, 0.059570f, 0.070801f, 0.083008f, + 0.095093f, 0.106750f, 0.119507f, 0.132080f, 0.145142f, 0.158569f, 0.171143f, 0.184692f, + 0.198730f, 0.211792f, 0.225830f, 0.239380f, 0.253662f, 0.267578f, 0.281738f, 0.295898f, + 0.309814f, 0.324219f, 0.340088f, 0.353760f, 0.368164f, 0.383057f, 0.397705f, 0.412842f, + 0.426758f, 0.441406f, 0.456787f, 0.470947f, 0.485352f, 0.500000f, 0.515137f, 0.529785f, + 0.543945f, 0.559082f, 0.572754f, 0.588379f, 0.602539f, 0.616699f, 0.631348f, 0.645996f, + 0.659180f, 0.674805f, 0.689453f, 0.703125f, 0.716797f, 0.729980f, 0.744629f, 0.758789f, + 0.772461f, 0.786621f, 0.883789f, 0.872070f, 0.860840f, 0.850586f, 0.841309f, 0.833008f, + 0.004726f, 0.014549f, 0.024109f, 0.034668f, 0.044708f, 0.055573f, 0.066467f, 0.077820f, + 0.088928f, 0.100342f, 0.112000f, 0.124390f, 0.136230f, 0.148804f, 0.161621f, 0.173950f, + 0.186768f, 0.200439f, 0.213623f, 0.226074f, 0.239868f, 0.253418f, 0.267090f, 0.281250f, + 0.295410f, 0.309570f, 0.323486f, 0.337891f, 0.352295f, 0.365967f, 0.381104f, 0.394775f, + 0.409180f, 0.423828f, 0.438477f, 0.452881f, 0.467773f, 0.481689f, 0.496582f, 0.511230f, + 0.525391f, 0.539551f, 0.554199f, 0.568848f, 0.583984f, 0.599121f, 0.612305f, 0.627441f, + 0.641113f, 0.656250f, 0.669922f, 0.684570f, 0.699219f, 0.713379f, 0.727539f, 0.741699f, + 0.755859f, 0.771484f, 0.875488f, 0.865723f, 0.854492f, 0.845215f, 0.836426f, 0.828613f, + 0.004452f, 0.013359f, 0.022690f, 0.032745f, 0.042297f, 0.051910f, 0.061920f, 0.072693f, + 0.083496f, 0.094177f, 0.105408f, 0.116760f, 0.128174f, 0.140137f, 0.151855f, 0.164185f, + 0.176758f, 0.189087f, 0.201660f, 0.214478f, 0.227173f, 0.240356f, 0.253906f, 0.267578f, + 0.280273f, 0.294922f, 0.307373f, 0.321045f, 0.336670f, 0.350098f, 0.363770f, 0.378174f, + 0.392334f, 0.406006f, 0.420410f, 0.434082f, 0.448975f, 0.463623f, 0.478271f, 0.492676f, + 0.506836f, 0.520996f, 0.536133f, 0.550781f, 0.565430f, 0.580078f, 0.593750f, 0.608887f, + 0.623047f, 0.638184f, 0.651367f, 0.666016f, 0.681152f, 0.695312f, 0.709473f, 0.723145f, + 0.738281f, 0.752930f, 0.867676f, 0.858398f, 0.848633f, 0.839355f, 0.831055f, 0.823730f, + 0.004143f, 0.012794f, 0.021713f, 0.030396f, 0.039551f, 0.048645f, 0.058563f, 0.068176f, + 0.078308f, 0.088928f, 0.098328f, 0.109924f, 0.120728f, 0.131592f, 0.142944f, 0.154175f, + 0.165771f, 0.178223f, 0.190186f, 0.202881f, 0.214844f, 0.227417f, 0.240845f, 0.253906f, + 0.265869f, 0.279541f, 0.293213f, 0.305908f, 0.320068f, 0.333496f, 0.347168f, 0.361816f, + 0.375000f, 0.389160f, 0.403320f, 0.417236f, 0.431396f, 0.444824f, 0.459473f, 0.473633f, + 0.488525f, 0.503418f, 0.517578f, 0.532227f, 0.545410f, 0.560547f, 0.575684f, 0.590332f, + 0.604004f, 0.618652f, 0.632812f, 0.647949f, 0.663086f, 0.676758f, 0.691895f, 0.706543f, + 0.721191f, 0.735840f, 0.859375f, 0.852539f, 0.842773f, 0.833496f, 0.824707f, 0.818848f, + 0.003839f, 0.012062f, 0.020126f, 0.028366f, 0.036774f, 0.045593f, 0.054718f, 0.063416f, + 0.073120f, 0.082825f, 0.092957f, 0.102966f, 0.113464f, 0.123535f, 0.134277f, 0.145020f, + 0.155762f, 0.167847f, 0.179199f, 0.190796f, 0.202393f, 0.214844f, 0.227417f, 0.239868f, + 0.252197f, 0.264648f, 0.277588f, 0.291016f, 0.304199f, 0.317383f, 0.330811f, 0.343750f, + 0.357422f, 0.371826f, 0.385254f, 0.399902f, 0.413574f, 0.427246f, 0.441162f, 0.455566f, + 0.469971f, 0.484375f, 0.498535f, 0.514160f, 0.527344f, 0.541992f, 0.556152f, 0.570312f, + 0.585449f, 0.600098f, 0.614746f, 0.629883f, 0.645508f, 0.658203f, 0.673340f, 0.688477f, + 0.703125f, 0.718262f, 0.851074f, 0.844727f, 0.835938f, 0.827637f, 0.820312f, 0.812988f, + 0.003786f, 0.011147f, 0.018921f, 0.026550f, 0.034729f, 0.042664f, 0.051117f, 0.060028f, + 0.068298f, 0.077454f, 0.086914f, 0.096130f, 0.105835f, 0.115662f, 0.126343f, 0.136475f, + 0.146606f, 0.157715f, 0.168457f, 0.180176f, 0.191528f, 0.202759f, 0.215088f, 0.226929f, + 0.239014f, 0.251221f, 0.263428f, 0.275391f, 0.289062f, 0.301514f, 0.314941f, 0.328369f, + 0.341797f, 0.354736f, 0.367676f, 0.382324f, 0.395264f, 0.409912f, 0.423340f, 0.437012f, + 0.451660f, 0.465576f, 0.480469f, 0.494629f, 0.508301f, 0.522949f, 0.538086f, 0.551758f, + 0.567383f, 0.582031f, 0.596191f, 0.610840f, 0.625977f, 0.639648f, 0.655273f, 0.670410f, + 0.685547f, 0.700684f, 0.842285f, 0.837402f, 0.829590f, 0.821289f, 0.813965f, 0.808105f, + 0.003504f, 0.010445f, 0.017609f, 0.025131f, 0.032349f, 0.040314f, 0.047485f, 0.055756f, + 0.064026f, 0.072571f, 0.080872f, 0.089661f, 0.099426f, 0.108459f, 0.118286f, 0.127930f, + 0.137817f, 0.147583f, 0.158203f, 0.169189f, 0.180908f, 0.191040f, 0.203003f, 0.214111f, + 0.225708f, 0.237549f, 0.249023f, 0.261475f, 0.273926f, 0.286865f, 0.299316f, 0.311768f, + 0.325684f, 0.338623f, 0.351562f, 0.364746f, 0.378418f, 0.392578f, 0.405518f, 0.419678f, + 0.433105f, 0.447998f, 0.461670f, 0.475830f, 0.490479f, 0.503906f, 0.519531f, 0.533203f, + 0.547852f, 0.562988f, 0.576660f, 0.591797f, 0.606445f, 0.622070f, 0.636719f, 0.652344f, + 0.666504f, 0.682617f, 0.833496f, 0.830078f, 0.822754f, 0.815918f, 0.808594f, 0.802734f, + 0.003447f, 0.009941f, 0.016373f, 0.023300f, 0.030228f, 0.037689f, 0.044128f, 0.052551f, + 0.059845f, 0.068115f, 0.076538f, 0.083862f, 0.092896f, 0.101440f, 0.110596f, 0.119995f, + 0.129028f, 0.138916f, 0.148926f, 0.158936f, 0.169189f, 0.180176f, 0.190308f, 0.201416f, + 0.212769f, 0.224365f, 0.235962f, 0.247192f, 0.259033f, 0.271973f, 0.283936f, 0.296631f, + 0.309570f, 0.321777f, 0.334961f, 0.348389f, 0.361572f, 0.374756f, 0.388184f, 0.401611f, + 0.415771f, 0.429443f, 0.443359f, 0.457520f, 0.471436f, 0.486084f, 0.500977f, 0.514648f, + 0.528809f, 0.543457f, 0.558594f, 0.573242f, 0.588867f, 0.603516f, 0.617676f, 0.633301f, + 0.648926f, 0.664551f, 0.824219f, 0.823242f, 0.815918f, 0.809082f, 0.802246f, 0.796387f, + 0.003141f, 0.009407f, 0.015251f, 0.021851f, 0.028107f, 0.034882f, 0.041779f, 0.048340f, + 0.056244f, 0.062988f, 0.071106f, 0.078796f, 0.087036f, 0.094910f, 0.103149f, 0.112305f, + 0.121460f, 0.130371f, 0.139404f, 0.149048f, 0.159180f, 0.169189f, 0.179565f, 0.189087f, + 0.200317f, 0.211548f, 0.222412f, 0.233765f, 0.245117f, 0.257324f, 0.269043f, 0.281006f, + 0.293213f, 0.305664f, 0.318848f, 0.331055f, 0.343750f, 0.358398f, 0.369873f, 0.384033f, + 0.397217f, 0.411865f, 0.424805f, 0.438965f, 0.453125f, 0.467529f, 0.481689f, 0.495850f, + 0.510254f, 0.524414f, 0.539551f, 0.554688f, 0.569824f, 0.584961f, 0.599121f, 0.614258f, + 0.629883f, 0.645020f, 0.815430f, 0.814453f, 0.809570f, 0.802734f, 0.796875f, 0.791504f, + 0.002838f, 0.008461f, 0.014236f, 0.020676f, 0.026749f, 0.032593f, 0.039032f, 0.045715f, + 0.052216f, 0.059479f, 0.066467f, 0.073608f, 0.080933f, 0.088623f, 0.096619f, 0.104919f, + 0.113098f, 0.121521f, 0.130493f, 0.139526f, 0.148560f, 0.158203f, 0.167969f, 0.177979f, + 0.187988f, 0.198730f, 0.208862f, 0.220093f, 0.231323f, 0.242798f, 0.253906f, 0.265869f, + 0.278320f, 0.289551f, 0.302246f, 0.314941f, 0.327393f, 0.340088f, 0.353516f, 0.365967f, + 0.379883f, 0.392822f, 0.406738f, 0.420898f, 0.434814f, 0.447998f, 0.462891f, 0.477539f, + 0.491455f, 0.506836f, 0.520996f, 0.536133f, 0.550781f, 0.565918f, 0.581055f, 0.596680f, + 0.611816f, 0.627441f, 0.806152f, 0.807617f, 0.801270f, 0.796387f, 0.790039f, 0.784668f, + 0.002689f, 0.008102f, 0.013618f, 0.019058f, 0.024719f, 0.030548f, 0.036560f, 0.042725f, + 0.048615f, 0.054779f, 0.061615f, 0.068604f, 0.075012f, 0.082703f, 0.090271f, 0.097900f, + 0.105530f, 0.113586f, 0.121826f, 0.130371f, 0.139282f, 0.147705f, 0.157349f, 0.166504f, + 0.176147f, 0.186401f, 0.196289f, 0.207520f, 0.217651f, 0.228394f, 0.239868f, 0.251465f, + 0.262451f, 0.274414f, 0.286377f, 0.298828f, 0.311035f, 0.323730f, 0.336670f, 0.349121f, + 0.362549f, 0.375244f, 0.389160f, 0.402344f, 0.417236f, 0.429932f, 0.443848f, 0.458984f, + 0.472168f, 0.487793f, 0.501953f, 0.517578f, 0.531738f, 0.546875f, 0.561523f, 0.576660f, + 0.593262f, 0.608398f, 0.797852f, 0.798828f, 0.794922f, 0.789551f, 0.784668f, 0.779297f, + 0.002666f, 0.007462f, 0.012596f, 0.018066f, 0.023026f, 0.028412f, 0.033813f, 0.039398f, + 0.045166f, 0.051239f, 0.057587f, 0.063721f, 0.070312f, 0.077148f, 0.084167f, 0.090820f, + 0.098267f, 0.105591f, 0.113159f, 0.121460f, 0.129761f, 0.138428f, 0.147217f, 0.156128f, + 0.165283f, 0.174438f, 0.183960f, 0.194092f, 0.204834f, 0.214844f, 0.225830f, 0.236816f, + 0.247925f, 0.259033f, 0.270752f, 0.282227f, 0.294678f, 0.306641f, 0.319336f, 0.332031f, + 0.344482f, 0.357910f, 0.371094f, 0.384033f, 0.398682f, 0.412109f, 0.425781f, 0.440186f, + 0.454102f, 0.468018f, 0.482910f, 0.497314f, 0.512207f, 0.528320f, 0.542969f, 0.558594f, + 0.573242f, 0.589355f, 0.787598f, 0.791016f, 0.787109f, 0.781738f, 0.777344f, 0.772461f, + 0.002569f, 0.007069f, 0.012199f, 0.016739f, 0.021393f, 0.026672f, 0.031189f, 0.037109f, + 0.042480f, 0.047729f, 0.053345f, 0.059387f, 0.065430f, 0.071838f, 0.078186f, 0.084167f, + 0.091492f, 0.098816f, 0.105774f, 0.112976f, 0.121155f, 0.129028f, 0.136963f, 0.145508f, + 0.153687f, 0.163086f, 0.172363f, 0.181885f, 0.191406f, 0.201782f, 0.211670f, 0.222412f, + 0.233032f, 0.244263f, 0.255371f, 0.266846f, 0.278809f, 0.290527f, 0.302734f, 0.314697f, + 0.327393f, 0.340820f, 0.353027f, 0.366455f, 0.380127f, 0.393799f, 0.406006f, 0.421143f, + 0.435059f, 0.449707f, 0.463623f, 0.479248f, 0.494141f, 0.509277f, 0.523438f, 0.539551f, + 0.555176f, 0.570801f, 0.778320f, 0.783203f, 0.779785f, 0.775879f, 0.770996f, 0.767090f, + 0.002398f, 0.006733f, 0.010918f, 0.015495f, 0.020203f, 0.024963f, 0.029663f, 0.034485f, + 0.039246f, 0.044678f, 0.049896f, 0.055267f, 0.060486f, 0.066345f, 0.072693f, 0.078857f, + 0.085083f, 0.091370f, 0.097961f, 0.105530f, 0.112244f, 0.119629f, 0.127563f, 0.135376f, + 0.143799f, 0.152100f, 0.160889f, 0.169922f, 0.178833f, 0.188843f, 0.198608f, 0.208496f, + 0.218628f, 0.229492f, 0.240479f, 0.251953f, 0.262695f, 0.274902f, 0.286377f, 0.298340f, + 0.310547f, 0.323242f, 0.335693f, 0.349365f, 0.362061f, 0.375000f, 0.388916f, 0.402832f, + 0.416748f, 0.430420f, 0.445068f, 0.459473f, 0.474854f, 0.489258f, 0.504883f, 0.519531f, + 0.535645f, 0.551758f, 0.769043f, 0.774902f, 0.771973f, 0.768555f, 0.764160f, 0.759766f, + 0.002062f, 0.006191f, 0.010384f, 0.014786f, 0.018402f, 0.023270f, 0.027435f, 0.031891f, + 0.036163f, 0.041199f, 0.045685f, 0.051208f, 0.056244f, 0.061371f, 0.066772f, 0.072510f, + 0.078369f, 0.084656f, 0.091125f, 0.097290f, 0.104309f, 0.111145f, 0.118164f, 0.126221f, + 0.133301f, 0.141724f, 0.149658f, 0.157837f, 0.167236f, 0.176025f, 0.185547f, 0.195190f, + 0.205444f, 0.215332f, 0.225830f, 0.236084f, 0.247314f, 0.259033f, 0.270020f, 0.281982f, + 0.293701f, 0.305908f, 0.318848f, 0.331787f, 0.344482f, 0.357178f, 0.370361f, 0.384521f, + 0.397461f, 0.411621f, 0.426025f, 0.440674f, 0.455322f, 0.470703f, 0.485596f, 0.500977f, + 0.517578f, 0.532227f, 0.759277f, 0.766602f, 0.764160f, 0.761230f, 0.757324f, 0.753418f, + 0.002064f, 0.005859f, 0.009613f, 0.013626f, 0.017456f, 0.021606f, 0.025574f, 0.029526f, + 0.034302f, 0.038422f, 0.042938f, 0.047485f, 0.052155f, 0.056763f, 0.061951f, 0.067139f, + 0.072754f, 0.078308f, 0.084167f, 0.090149f, 0.096191f, 0.102722f, 0.109558f, 0.116699f, + 0.123901f, 0.131104f, 0.139160f, 0.146729f, 0.155273f, 0.163940f, 0.173096f, 0.182129f, + 0.192017f, 0.201172f, 0.211060f, 0.221558f, 0.232544f, 0.243530f, 0.254150f, 0.266113f, + 0.277588f, 0.289307f, 0.301758f, 0.313965f, 0.326904f, 0.338867f, 0.352051f, 0.366211f, + 0.379150f, 0.393066f, 0.407471f, 0.421875f, 0.436768f, 0.450439f, 0.466553f, 0.481201f, + 0.497314f, 0.513184f, 0.749512f, 0.758301f, 0.756348f, 0.753906f, 0.750000f, 0.746582f, + 0.001851f, 0.005405f, 0.009109f, 0.012589f, 0.016129f, 0.020020f, 0.023926f, 0.027481f, + 0.031738f, 0.035492f, 0.039734f, 0.044128f, 0.048065f, 0.052765f, 0.057373f, 0.061859f, + 0.066711f, 0.072388f, 0.077393f, 0.083130f, 0.088745f, 0.094727f, 0.101135f, 0.107666f, + 0.114380f, 0.121704f, 0.128540f, 0.136108f, 0.144043f, 0.151733f, 0.160522f, 0.169678f, + 0.178589f, 0.187622f, 0.197998f, 0.207397f, 0.217285f, 0.227905f, 0.238892f, 0.250000f, + 0.261230f, 0.272461f, 0.284180f, 0.296387f, 0.308838f, 0.321533f, 0.334473f, 0.347656f, + 0.361328f, 0.375000f, 0.388672f, 0.402588f, 0.417969f, 0.432617f, 0.447021f, 0.461914f, + 0.478516f, 0.493652f, 0.739258f, 0.749512f, 0.749023f, 0.745605f, 0.742188f, 0.739746f, + 0.001666f, 0.005405f, 0.008575f, 0.011696f, 0.015327f, 0.018646f, 0.022293f, 0.025650f, + 0.029327f, 0.032776f, 0.036530f, 0.040619f, 0.044128f, 0.048828f, 0.052887f, 0.057098f, + 0.061829f, 0.066467f, 0.071350f, 0.076355f, 0.081909f, 0.087341f, 0.092896f, 0.099304f, + 0.105469f, 0.112000f, 0.118835f, 0.125977f, 0.133545f, 0.140991f, 0.148438f, 0.156982f, + 0.165771f, 0.174805f, 0.183960f, 0.193115f, 0.203369f, 0.212891f, 0.223389f, 0.234497f, + 0.244751f, 0.256348f, 0.268066f, 0.279541f, 0.291260f, 0.303955f, 0.316406f, 0.329590f, + 0.342529f, 0.355957f, 0.369385f, 0.384766f, 0.398926f, 0.413330f, 0.428467f, 0.442383f, + 0.458740f, 0.474609f, 0.728516f, 0.740723f, 0.740234f, 0.738281f, 0.735352f, 0.732910f, + 0.001534f, 0.004936f, 0.007980f, 0.011223f, 0.013893f, 0.017212f, 0.020294f, 0.023361f, + 0.026688f, 0.030182f, 0.033600f, 0.037537f, 0.040924f, 0.044495f, 0.048340f, 0.052155f, + 0.056732f, 0.061035f, 0.065430f, 0.069824f, 0.075073f, 0.080078f, 0.085571f, 0.091003f, + 0.096863f, 0.103271f, 0.109009f, 0.115723f, 0.123230f, 0.129639f, 0.137207f, 0.145264f, + 0.153320f, 0.161499f, 0.170410f, 0.179688f, 0.189087f, 0.198364f, 0.208740f, 0.218750f, + 0.229126f, 0.240356f, 0.251465f, 0.263184f, 0.274902f, 0.286621f, 0.299072f, 0.311768f, + 0.324463f, 0.337402f, 0.351074f, 0.364746f, 0.378662f, 0.394287f, 0.408936f, 0.423096f, + 0.439453f, 0.455322f, 0.716797f, 0.731934f, 0.732422f, 0.729980f, 0.728027f, 0.725586f, + 0.001639f, 0.004337f, 0.007439f, 0.009888f, 0.013092f, 0.015717f, 0.018921f, 0.021805f, + 0.024612f, 0.027542f, 0.030762f, 0.034088f, 0.037598f, 0.041107f, 0.044189f, 0.047699f, + 0.051666f, 0.055664f, 0.059723f, 0.064148f, 0.068542f, 0.073425f, 0.078003f, 0.083435f, + 0.088806f, 0.094360f, 0.100159f, 0.106079f, 0.112915f, 0.119690f, 0.125977f, 0.133667f, + 0.141357f, 0.149414f, 0.157349f, 0.166260f, 0.175049f, 0.184326f, 0.193970f, 0.203735f, + 0.214355f, 0.224609f, 0.235352f, 0.246460f, 0.257568f, 0.269287f, 0.281738f, 0.294189f, + 0.305908f, 0.319824f, 0.332520f, 0.346680f, 0.360596f, 0.375244f, 0.389648f, 0.404297f, + 0.419189f, 0.435791f, 0.707520f, 0.723145f, 0.723633f, 0.722656f, 0.720703f, 0.717773f, + 0.001469f, 0.004345f, 0.006844f, 0.009483f, 0.012428f, 0.014679f, 0.017166f, 0.019989f, + 0.022949f, 0.025574f, 0.028320f, 0.031525f, 0.034088f, 0.037323f, 0.040710f, 0.043762f, + 0.047119f, 0.050873f, 0.054352f, 0.058441f, 0.062561f, 0.066711f, 0.071167f, 0.075989f, + 0.080627f, 0.086426f, 0.091553f, 0.097473f, 0.103210f, 0.109680f, 0.115723f, 0.122986f, + 0.129761f, 0.137451f, 0.145142f, 0.153198f, 0.161621f, 0.170654f, 0.179688f, 0.189087f, + 0.198730f, 0.209229f, 0.219604f, 0.230225f, 0.241211f, 0.252197f, 0.264404f, 0.276367f, + 0.288574f, 0.301270f, 0.314453f, 0.328125f, 0.341309f, 0.354980f, 0.370117f, 0.385498f, + 0.399902f, 0.415771f, 0.696289f, 0.714355f, 0.715820f, 0.714355f, 0.712891f, 0.710449f, + 0.001227f, 0.003862f, 0.006245f, 0.008644f, 0.010796f, 0.013344f, 0.015823f, 0.018448f, + 0.020645f, 0.023331f, 0.025681f, 0.028305f, 0.030975f, 0.033722f, 0.036987f, 0.039673f, + 0.043121f, 0.046112f, 0.049774f, 0.053406f, 0.056854f, 0.060760f, 0.064697f, 0.069397f, + 0.073364f, 0.078369f, 0.083313f, 0.088257f, 0.094116f, 0.100098f, 0.105957f, 0.112122f, + 0.118774f, 0.125854f, 0.133057f, 0.140869f, 0.148682f, 0.157227f, 0.165405f, 0.174927f, + 0.184082f, 0.193726f, 0.204102f, 0.214111f, 0.225098f, 0.236328f, 0.247314f, 0.259277f, + 0.270752f, 0.282959f, 0.296143f, 0.309082f, 0.322510f, 0.336426f, 0.350830f, 0.365479f, + 0.380371f, 0.396240f, 0.684570f, 0.705078f, 0.706543f, 0.706543f, 0.705078f, 0.703125f, + 0.001069f, 0.003525f, 0.006062f, 0.008286f, 0.010178f, 0.012589f, 0.014542f, 0.017075f, + 0.019241f, 0.021179f, 0.023499f, 0.026047f, 0.028137f, 0.030762f, 0.033417f, 0.035889f, + 0.038757f, 0.041779f, 0.044586f, 0.048309f, 0.051056f, 0.054810f, 0.058777f, 0.062347f, + 0.066528f, 0.070740f, 0.075256f, 0.080261f, 0.085205f, 0.090393f, 0.095886f, 0.102478f, + 0.108154f, 0.114441f, 0.121399f, 0.128784f, 0.135742f, 0.144165f, 0.151978f, 0.160767f, + 0.169434f, 0.178833f, 0.188721f, 0.198608f, 0.208984f, 0.220215f, 0.230957f, 0.241943f, + 0.253906f, 0.265869f, 0.278564f, 0.291260f, 0.304443f, 0.318359f, 0.332031f, 0.346680f, + 0.361572f, 0.377197f, 0.673828f, 0.695801f, 0.698242f, 0.697754f, 0.697266f, 0.695312f, + 0.001211f, 0.003250f, 0.005112f, 0.007195f, 0.009651f, 0.011414f, 0.013641f, 0.015205f, + 0.017334f, 0.019608f, 0.021164f, 0.023712f, 0.025726f, 0.027863f, 0.029984f, 0.032410f, + 0.035034f, 0.037689f, 0.040466f, 0.042938f, 0.046478f, 0.049591f, 0.052856f, 0.056274f, + 0.060089f, 0.063721f, 0.068115f, 0.072266f, 0.076904f, 0.081970f, 0.087036f, 0.092285f, + 0.097961f, 0.104309f, 0.110535f, 0.117126f, 0.124084f, 0.131226f, 0.139038f, 0.147095f, + 0.155884f, 0.164429f, 0.174194f, 0.183228f, 0.192749f, 0.203491f, 0.214233f, 0.224976f, + 0.236206f, 0.247925f, 0.260498f, 0.272705f, 0.285889f, 0.299805f, 0.312988f, 0.327637f, + 0.342529f, 0.356934f, 0.662598f, 0.686523f, 0.689453f, 0.689453f, 0.688965f, 0.687500f, + 0.001138f, 0.003206f, 0.005180f, 0.007309f, 0.008377f, 0.010635f, 0.012352f, 0.014153f, + 0.015640f, 0.017487f, 0.019272f, 0.021164f, 0.023026f, 0.025314f, 0.027222f, 0.029282f, + 0.031433f, 0.033600f, 0.036041f, 0.038788f, 0.041626f, 0.044281f, 0.047455f, 0.050507f, + 0.054047f, 0.057556f, 0.061188f, 0.065063f, 0.069214f, 0.073486f, 0.078369f, 0.083191f, + 0.088196f, 0.093811f, 0.099609f, 0.106018f, 0.112305f, 0.119385f, 0.126343f, 0.134033f, + 0.142090f, 0.150635f, 0.159546f, 0.168579f, 0.177734f, 0.187500f, 0.198242f, 0.208618f, + 0.219604f, 0.231812f, 0.242188f, 0.254883f, 0.267578f, 0.281494f, 0.294434f, 0.308350f, + 0.322998f, 0.338379f, 0.651367f, 0.676758f, 0.681152f, 0.680664f, 0.680664f, 0.679688f, + 0.000977f, 0.002806f, 0.004559f, 0.006176f, 0.008034f, 0.009476f, 0.011131f, 0.012741f, + 0.014275f, 0.015732f, 0.017334f, 0.019104f, 0.020767f, 0.022293f, 0.024323f, 0.026016f, + 0.028198f, 0.030197f, 0.032257f, 0.034515f, 0.036957f, 0.039856f, 0.042084f, 0.044891f, + 0.047791f, 0.051147f, 0.054535f, 0.058197f, 0.061768f, 0.065674f, 0.069946f, 0.074585f, + 0.079102f, 0.084412f, 0.089600f, 0.095398f, 0.101196f, 0.107544f, 0.114258f, 0.121094f, + 0.128662f, 0.137085f, 0.145020f, 0.153687f, 0.162720f, 0.172607f, 0.182129f, 0.192749f, + 0.203125f, 0.214111f, 0.226074f, 0.237671f, 0.249878f, 0.262207f, 0.275635f, 0.289551f, + 0.304199f, 0.318848f, 0.639160f, 0.666992f, 0.671387f, 0.671875f, 0.671875f, 0.671387f, + 0.000968f, 0.002722f, 0.004318f, 0.005634f, 0.007393f, 0.008667f, 0.010139f, 0.011383f, + 0.012856f, 0.014389f, 0.015427f, 0.016907f, 0.018387f, 0.020081f, 0.021683f, 0.023315f, + 0.025085f, 0.026840f, 0.028641f, 0.030624f, 0.032837f, 0.035065f, 0.037445f, 0.039948f, + 0.042542f, 0.045410f, 0.048340f, 0.051514f, 0.054840f, 0.058502f, 0.062408f, 0.066223f, + 0.070679f, 0.075134f, 0.080078f, 0.085388f, 0.090515f, 0.096436f, 0.102722f, 0.109314f, + 0.116333f, 0.123352f, 0.131592f, 0.139526f, 0.147949f, 0.156860f, 0.166748f, 0.176758f, + 0.187134f, 0.197632f, 0.209106f, 0.220337f, 0.232666f, 0.244751f, 0.257568f, 0.270996f, + 0.284912f, 0.300537f, 0.627441f, 0.657227f, 0.662598f, 0.663574f, 0.663574f, 0.663086f, + 0.001081f, 0.002466f, 0.003862f, 0.005348f, 0.006447f, 0.007927f, 0.009018f, 0.010490f, + 0.011436f, 0.012627f, 0.013916f, 0.015015f, 0.016449f, 0.017563f, 0.019165f, 0.020706f, + 0.021973f, 0.023834f, 0.025467f, 0.027130f, 0.029175f, 0.030991f, 0.033081f, 0.035156f, + 0.037384f, 0.040039f, 0.042603f, 0.045502f, 0.048492f, 0.051636f, 0.054962f, 0.058716f, + 0.062439f, 0.066467f, 0.071045f, 0.075378f, 0.080811f, 0.085815f, 0.091492f, 0.098022f, + 0.103943f, 0.111023f, 0.118164f, 0.125732f, 0.133911f, 0.142456f, 0.151367f, 0.161011f, + 0.170898f, 0.181396f, 0.192139f, 0.203247f, 0.214844f, 0.227173f, 0.239380f, 0.252441f, + 0.266602f, 0.281006f, 0.616699f, 0.647949f, 0.653320f, 0.655273f, 0.654785f, 0.655273f, + 0.000735f, 0.002331f, 0.003601f, 0.005005f, 0.005825f, 0.007061f, 0.008049f, 0.009148f, + 0.010315f, 0.011131f, 0.012230f, 0.013367f, 0.014328f, 0.015541f, 0.016968f, 0.018234f, + 0.019257f, 0.020798f, 0.022202f, 0.023666f, 0.025452f, 0.027115f, 0.028885f, 0.030792f, + 0.032715f, 0.035034f, 0.037323f, 0.039825f, 0.042419f, 0.045258f, 0.048157f, 0.051422f, + 0.054810f, 0.058411f, 0.062378f, 0.066528f, 0.071106f, 0.076233f, 0.081116f, 0.086853f, + 0.092407f, 0.098938f, 0.105469f, 0.112854f, 0.120361f, 0.128418f, 0.136841f, 0.145752f, + 0.155273f, 0.165283f, 0.175537f, 0.186646f, 0.197510f, 0.209473f, 0.221558f, 0.234619f, + 0.248047f, 0.261719f, 0.603516f, 0.636719f, 0.644531f, 0.645020f, 0.645508f, 0.646484f, + 0.000837f, 0.002073f, 0.003357f, 0.004292f, 0.005409f, 0.006271f, 0.007271f, 0.007973f, + 0.008873f, 0.009956f, 0.010811f, 0.012032f, 0.012848f, 0.013664f, 0.014870f, 0.015839f, + 0.017090f, 0.018280f, 0.019333f, 0.020691f, 0.022186f, 0.023453f, 0.025223f, 0.026779f, + 0.028595f, 0.030441f, 0.032410f, 0.034729f, 0.036743f, 0.039307f, 0.042023f, 0.044434f, + 0.047791f, 0.050781f, 0.054413f, 0.058075f, 0.061951f, 0.066711f, 0.071106f, 0.076355f, + 0.081848f, 0.087341f, 0.093872f, 0.099854f, 0.107483f, 0.114441f, 0.122925f, 0.131104f, + 0.140381f, 0.149414f, 0.159180f, 0.170166f, 0.181152f, 0.192139f, 0.204468f, 0.216553f, + 0.230103f, 0.244507f, 0.592773f, 0.626953f, 0.635254f, 0.637207f, 0.636719f, 0.637695f, + 0.000524f, 0.001863f, 0.003014f, 0.003777f, 0.004852f, 0.005516f, 0.006428f, 0.007111f, + 0.008095f, 0.008888f, 0.009476f, 0.010345f, 0.011063f, 0.012016f, 0.012810f, 0.013786f, + 0.014648f, 0.015717f, 0.016891f, 0.017929f, 0.019150f, 0.020401f, 0.021606f, 0.023193f, + 0.024597f, 0.026276f, 0.027939f, 0.029770f, 0.031738f, 0.033936f, 0.036194f, 0.038574f, + 0.041107f, 0.043945f, 0.047180f, 0.050385f, 0.054291f, 0.057770f, 0.061981f, 0.066345f, + 0.071167f, 0.076355f, 0.082153f, 0.088074f, 0.094666f, 0.101685f, 0.109131f, 0.117249f, + 0.125610f, 0.134399f, 0.143921f, 0.154175f, 0.164795f, 0.175659f, 0.187256f, 0.199341f, + 0.211670f, 0.225464f, 0.580078f, 0.617676f, 0.625000f, 0.627930f, 0.628906f, 0.628906f, + 0.000657f, 0.001829f, 0.002909f, 0.003525f, 0.004295f, 0.005051f, 0.005592f, 0.006123f, + 0.006920f, 0.007553f, 0.008339f, 0.008888f, 0.009689f, 0.010262f, 0.011017f, 0.011848f, + 0.012634f, 0.013489f, 0.014572f, 0.015427f, 0.016449f, 0.017426f, 0.018539f, 0.019852f, + 0.021133f, 0.022507f, 0.023834f, 0.025375f, 0.027084f, 0.028976f, 0.030792f, 0.032959f, + 0.035400f, 0.037720f, 0.040405f, 0.043243f, 0.046356f, 0.049530f, 0.053314f, 0.057190f, + 0.061554f, 0.066223f, 0.071472f, 0.076782f, 0.082825f, 0.089417f, 0.096191f, 0.103210f, + 0.111633f, 0.119934f, 0.128662f, 0.138550f, 0.148315f, 0.158813f, 0.170288f, 0.182373f, + 0.194458f, 0.207642f, 0.567383f, 0.606445f, 0.615234f, 0.619141f, 0.620117f, 0.620117f, + 0.000584f, 0.001548f, 0.002333f, 0.003086f, 0.003660f, 0.004303f, 0.005020f, 0.005543f, + 0.006042f, 0.006538f, 0.007118f, 0.007641f, 0.008301f, 0.008919f, 0.009499f, 0.010147f, + 0.010918f, 0.011414f, 0.012222f, 0.013084f, 0.013901f, 0.014954f, 0.015671f, 0.016724f, + 0.017914f, 0.019012f, 0.020325f, 0.021698f, 0.022949f, 0.024445f, 0.026215f, 0.027954f, + 0.029755f, 0.032043f, 0.034210f, 0.036591f, 0.039215f, 0.042297f, 0.045441f, 0.048676f, + 0.052612f, 0.056580f, 0.061432f, 0.066040f, 0.071350f, 0.077332f, 0.083496f, 0.090393f, + 0.097717f, 0.105835f, 0.114380f, 0.123413f, 0.133301f, 0.143066f, 0.153931f, 0.165039f, + 0.177124f, 0.190308f, 0.555176f, 0.597656f, 0.604980f, 0.609375f, 0.609863f, 0.611328f, + 0.000438f, 0.001456f, 0.001925f, 0.002811f, 0.003246f, 0.003731f, 0.004108f, 0.004669f, + 0.005344f, 0.005535f, 0.005913f, 0.006641f, 0.007038f, 0.007473f, 0.008049f, 0.008675f, + 0.009361f, 0.009689f, 0.010513f, 0.011032f, 0.011894f, 0.012695f, 0.013390f, 0.014183f, + 0.015114f, 0.016037f, 0.016998f, 0.018280f, 0.019272f, 0.020645f, 0.022003f, 0.023361f, + 0.024796f, 0.026779f, 0.028656f, 0.030685f, 0.032928f, 0.035370f, 0.038147f, 0.040955f, + 0.044403f, 0.047821f, 0.052032f, 0.056183f, 0.060974f, 0.066162f, 0.071777f, 0.078125f, + 0.084656f, 0.092102f, 0.100159f, 0.109009f, 0.117981f, 0.127563f, 0.138306f, 0.148804f, + 0.160645f, 0.173218f, 0.542969f, 0.586914f, 0.594727f, 0.599609f, 0.601074f, 0.601074f, + 0.000520f, 0.001104f, 0.001921f, 0.002256f, 0.002886f, 0.003389f, 0.003689f, 0.004063f, + 0.004440f, 0.004829f, 0.005230f, 0.005466f, 0.005966f, 0.006332f, 0.006786f, 0.007347f, + 0.007835f, 0.008232f, 0.008812f, 0.009216f, 0.009865f, 0.010490f, 0.011124f, 0.011803f, + 0.012573f, 0.013390f, 0.014275f, 0.015121f, 0.016144f, 0.016953f, 0.018234f, 0.019257f, + 0.020782f, 0.022064f, 0.023743f, 0.025360f, 0.027176f, 0.029327f, 0.031616f, 0.034058f, + 0.036957f, 0.039917f, 0.043182f, 0.047272f, 0.051025f, 0.055695f, 0.060913f, 0.066345f, + 0.072693f, 0.079285f, 0.086548f, 0.094543f, 0.103271f, 0.112793f, 0.122864f, 0.132812f, + 0.144531f, 0.156616f, 0.530273f, 0.576660f, 0.585449f, 0.590332f, 0.592285f, 0.593262f, + 0.000366f, 0.001040f, 0.001583f, 0.002129f, 0.002522f, 0.002792f, 0.003012f, 0.003420f, + 0.003630f, 0.003967f, 0.004246f, 0.004623f, 0.005039f, 0.005253f, 0.005627f, 0.006096f, + 0.006447f, 0.006939f, 0.007179f, 0.007710f, 0.008324f, 0.008698f, 0.009247f, 0.009796f, + 0.010414f, 0.011063f, 0.011627f, 0.012543f, 0.013191f, 0.014099f, 0.014938f, 0.015930f, + 0.016983f, 0.018219f, 0.019440f, 0.020813f, 0.022324f, 0.024002f, 0.025818f, 0.027969f, + 0.030289f, 0.032898f, 0.035583f, 0.038727f, 0.042450f, 0.046234f, 0.050781f, 0.055695f, + 0.061157f, 0.067383f, 0.074158f, 0.081360f, 0.089478f, 0.098267f, 0.107788f, 0.117737f, + 0.129028f, 0.140503f, 0.517578f, 0.566406f, 0.575195f, 0.581055f, 0.582520f, 0.584473f, + 0.000482f, 0.001008f, 0.001481f, 0.001818f, 0.002001f, 0.002296f, 0.002569f, 0.002781f, + 0.002998f, 0.003319f, 0.003620f, 0.003828f, 0.004082f, 0.004364f, 0.004658f, 0.004978f, + 0.005257f, 0.005665f, 0.005993f, 0.006340f, 0.006725f, 0.007160f, 0.007576f, 0.008095f, + 0.008522f, 0.008980f, 0.009621f, 0.010170f, 0.010765f, 0.011543f, 0.012161f, 0.013023f, + 0.013840f, 0.014801f, 0.015869f, 0.016861f, 0.018127f, 0.019379f, 0.020859f, 0.022583f, + 0.024261f, 0.026596f, 0.028839f, 0.031555f, 0.034271f, 0.037628f, 0.041504f, 0.045837f, + 0.050598f, 0.056000f, 0.062134f, 0.068726f, 0.076172f, 0.084656f, 0.093567f, 0.103088f, + 0.113586f, 0.125000f, 0.504883f, 0.554688f, 0.565918f, 0.570801f, 0.573242f, 0.574219f, + 0.000400f, 0.000803f, 0.001046f, 0.001427f, 0.001657f, 0.001952f, 0.002033f, 0.002337f, + 0.002453f, 0.002678f, 0.002871f, 0.003120f, 0.003286f, 0.003605f, 0.003817f, 0.004036f, + 0.004299f, 0.004604f, 0.004848f, 0.005142f, 0.005428f, 0.005871f, 0.006107f, 0.006584f, + 0.006908f, 0.007332f, 0.007736f, 0.008186f, 0.008820f, 0.009308f, 0.009964f, 0.010422f, + 0.011200f, 0.011993f, 0.012726f, 0.013512f, 0.014511f, 0.015610f, 0.016724f, 0.017914f, + 0.019440f, 0.021057f, 0.022827f, 0.024933f, 0.027466f, 0.030197f, 0.033295f, 0.036896f, + 0.041077f, 0.045776f, 0.050995f, 0.056976f, 0.063721f, 0.071167f, 0.079773f, 0.089172f, + 0.098633f, 0.109314f, 0.491699f, 0.543457f, 0.555176f, 0.561035f, 0.563477f, 0.565430f, + 0.000279f, 0.000821f, 0.000974f, 0.001161f, 0.001382f, 0.001583f, 0.001670f, 0.001934f, + 0.002064f, 0.002153f, 0.002306f, 0.002544f, 0.002670f, 0.002909f, 0.003052f, 0.003288f, + 0.003429f, 0.003624f, 0.003893f, 0.004082f, 0.004406f, 0.004635f, 0.004925f, 0.005196f, + 0.005444f, 0.005764f, 0.006134f, 0.006546f, 0.006947f, 0.007343f, 0.007858f, 0.008270f, + 0.008858f, 0.009346f, 0.010010f, 0.010757f, 0.011475f, 0.012260f, 0.013206f, 0.014214f, + 0.015236f, 0.016479f, 0.017975f, 0.019623f, 0.021515f, 0.023590f, 0.026062f, 0.028976f, + 0.032471f, 0.036224f, 0.040833f, 0.046082f, 0.052094f, 0.059052f, 0.066650f, 0.075684f, + 0.084778f, 0.094971f, 0.479492f, 0.532715f, 0.545898f, 0.551270f, 0.553711f, 0.555664f, + 0.000253f, 0.000612f, 0.000835f, 0.000998f, 0.001111f, 0.001228f, 0.001334f, 0.001452f, + 0.001619f, 0.001757f, 0.001837f, 0.001920f, 0.002140f, 0.002321f, 0.002453f, 0.002544f, + 0.002670f, 0.002790f, 0.003086f, 0.003260f, 0.003422f, 0.003620f, 0.003893f, 0.004101f, + 0.004326f, 0.004528f, 0.004761f, 0.005051f, 0.005444f, 0.005756f, 0.006065f, 0.006435f, + 0.006882f, 0.007378f, 0.007763f, 0.008286f, 0.008865f, 0.009506f, 0.010162f, 0.011024f, + 0.011826f, 0.012917f, 0.013916f, 0.015175f, 0.016602f, 0.018204f, 0.020035f, 0.022293f, + 0.024948f, 0.028076f, 0.031921f, 0.036377f, 0.041565f, 0.047577f, 0.054535f, 0.062622f, + 0.071777f, 0.081787f, 0.465576f, 0.522461f, 0.535645f, 0.541992f, 0.544922f, 0.546875f, + 0.000155f, 0.000398f, 0.000680f, 0.000828f, 0.000907f, 0.000989f, 0.001113f, 0.001081f, + 0.001253f, 0.001350f, 0.001453f, 0.001573f, 0.001661f, 0.001777f, 0.001829f, 0.001978f, + 0.002062f, 0.002216f, 0.002346f, 0.002470f, 0.002644f, 0.002804f, 0.002930f, 0.003134f, + 0.003265f, 0.003485f, 0.003674f, 0.003866f, 0.004154f, 0.004333f, 0.004707f, 0.004910f, + 0.005180f, 0.005581f, 0.005875f, 0.006283f, 0.006729f, 0.007164f, 0.007713f, 0.008270f, + 0.008934f, 0.009727f, 0.010513f, 0.011482f, 0.012520f, 0.013710f, 0.015152f, 0.016815f, + 0.018799f, 0.021118f, 0.024048f, 0.027756f, 0.032104f, 0.037201f, 0.043518f, 0.050903f, + 0.059418f, 0.068420f, 0.453125f, 0.511719f, 0.525391f, 0.530762f, 0.535156f, 0.536621f, + 0.000303f, 0.000337f, 0.000498f, 0.000560f, 0.000603f, 0.000721f, 0.000782f, 0.000845f, + 0.000880f, 0.000988f, 0.001119f, 0.001184f, 0.001258f, 0.001377f, 0.001420f, 0.001446f, + 0.001590f, 0.001666f, 0.001754f, 0.001889f, 0.001980f, 0.002073f, 0.002216f, 0.002308f, + 0.002447f, 0.002562f, 0.002758f, 0.002899f, 0.003084f, 0.003328f, 0.003506f, 0.003641f, + 0.003922f, 0.004147f, 0.004391f, 0.004665f, 0.004959f, 0.005322f, 0.005695f, 0.006119f, + 0.006588f, 0.007072f, 0.007790f, 0.008392f, 0.009178f, 0.010056f, 0.011124f, 0.012383f, + 0.013832f, 0.015587f, 0.017685f, 0.020309f, 0.023926f, 0.028076f, 0.033447f, 0.039978f, + 0.047638f, 0.056335f, 0.440186f, 0.500000f, 0.514160f, 0.520996f, 0.524414f, 0.526855f, + 0.000132f, 0.000296f, 0.000368f, 0.000444f, 0.000501f, 0.000519f, 0.000631f, 0.000580f, + 0.000675f, 0.000735f, 0.000820f, 0.000840f, 0.000882f, 0.000946f, 0.001029f, 0.001070f, + 0.001164f, 0.001221f, 0.001286f, 0.001317f, 0.001416f, 0.001494f, 0.001607f, 0.001681f, + 0.001763f, 0.001863f, 0.001978f, 0.002069f, 0.002169f, 0.002348f, 0.002451f, 0.002661f, + 0.002754f, 0.002943f, 0.003130f, 0.003323f, 0.003553f, 0.003813f, 0.004124f, 0.004364f, + 0.004669f, 0.005062f, 0.005493f, 0.005985f, 0.006546f, 0.007172f, 0.007950f, 0.008850f, + 0.009857f, 0.011116f, 0.012695f, 0.014603f, 0.016983f, 0.020157f, 0.024490f, 0.029968f, + 0.036957f, 0.045166f, 0.426025f, 0.488770f, 0.503906f, 0.511719f, 0.515137f, 0.517578f, + 0.000063f, 0.000160f, 0.000267f, 0.000282f, 0.000339f, 0.000417f, 0.000377f, 0.000433f, + 0.000472f, 0.000570f, 0.000563f, 0.000578f, 0.000599f, 0.000663f, 0.000681f, 0.000759f, + 0.000760f, 0.000845f, 0.000910f, 0.000941f, 0.000997f, 0.001057f, 0.001110f, 0.001169f, + 0.001238f, 0.001288f, 0.001381f, 0.001441f, 0.001514f, 0.001655f, 0.001693f, 0.001815f, + 0.001910f, 0.002028f, 0.002153f, 0.002308f, 0.002441f, 0.002607f, 0.002783f, 0.002962f, + 0.003214f, 0.003458f, 0.003744f, 0.004051f, 0.004444f, 0.004883f, 0.005402f, 0.006031f, + 0.006699f, 0.007610f, 0.008766f, 0.009933f, 0.011688f, 0.013931f, 0.017075f, 0.021454f, + 0.027313f, 0.035004f, 0.414307f, 0.478271f, 0.493652f, 0.501465f, 0.505859f, 0.508301f, + 0.000120f, 0.000194f, 0.000194f, 0.000205f, 0.000245f, 0.000246f, 0.000251f, 0.000301f, + 0.000322f, 0.000332f, 0.000343f, 0.000413f, 0.000397f, 0.000448f, 0.000481f, 0.000494f, + 0.000545f, 0.000556f, 0.000582f, 0.000601f, 0.000653f, 0.000676f, 0.000726f, 0.000767f, + 0.000821f, 0.000840f, 0.000919f, 0.000952f, 0.001011f, 0.001054f, 0.001116f, 0.001186f, + 0.001263f, 0.001337f, 0.001418f, 0.001482f, 0.001607f, 0.001685f, 0.001842f, 0.001965f, + 0.002090f, 0.002235f, 0.002420f, 0.002613f, 0.002851f, 0.003159f, 0.003492f, 0.003887f, + 0.004345f, 0.004906f, 0.005600f, 0.006474f, 0.007645f, 0.009186f, 0.011230f, 0.014305f, + 0.019135f, 0.025848f, 0.400635f, 0.466797f, 0.483398f, 0.490967f, 0.495117f, 0.498047f, + 0.000030f, 0.000140f, 0.000121f, 0.000114f, 0.000147f, 0.000178f, 0.000159f, 0.000195f, + 0.000199f, 0.000204f, 0.000216f, 0.000223f, 0.000255f, 0.000271f, 0.000288f, 0.000302f, + 0.000314f, 0.000346f, 0.000357f, 0.000395f, 0.000397f, 0.000408f, 0.000436f, 0.000470f, + 0.000501f, 0.000542f, 0.000547f, 0.000566f, 0.000612f, 0.000641f, 0.000692f, 0.000722f, + 0.000767f, 0.000798f, 0.000861f, 0.000898f, 0.000963f, 0.001030f, 0.001107f, 0.001164f, + 0.001255f, 0.001361f, 0.001464f, 0.001591f, 0.001719f, 0.001871f, 0.002111f, 0.002312f, + 0.002617f, 0.002964f, 0.003368f, 0.003902f, 0.004654f, 0.005653f, 0.006958f, 0.008888f, + 0.012161f, 0.017822f, 0.388672f, 0.456543f, 0.473389f, 0.481201f, 0.486328f, 0.489014f, + 0.000102f, 0.000076f, 0.000076f, 0.000075f, 0.000095f, 0.000092f, 0.000109f, 0.000111f, + 0.000112f, 0.000113f, 0.000126f, 0.000147f, 0.000135f, 0.000144f, 0.000165f, 0.000161f, + 0.000179f, 0.000192f, 0.000198f, 0.000202f, 0.000224f, 0.000232f, 0.000248f, 0.000259f, + 0.000278f, 0.000295f, 0.000308f, 0.000320f, 0.000340f, 0.000353f, 0.000379f, 0.000402f, + 0.000423f, 0.000440f, 0.000472f, 0.000503f, 0.000526f, 0.000564f, 0.000610f, 0.000644f, + 0.000690f, 0.000741f, 0.000810f, 0.000862f, 0.000946f, 0.001024f, 0.001121f, 0.001247f, + 0.001407f, 0.001603f, 0.001822f, 0.002144f, 0.002539f, 0.003098f, 0.003901f, 0.005096f, + 0.006931f, 0.011024f, 0.375244f, 0.444092f, 0.462158f, 0.470215f, 0.475586f, 0.478760f, + 0.000085f, 0.000061f, 0.000052f, 0.000047f, 0.000049f, 0.000046f, 0.000047f, 0.000050f, + 0.000055f, 0.000069f, 0.000060f, 0.000062f, 0.000077f, 0.000066f, 0.000069f, 0.000075f, + 0.000084f, 0.000093f, 0.000093f, 0.000098f, 0.000102f, 0.000108f, 0.000111f, 0.000121f, + 0.000129f, 0.000136f, 0.000142f, 0.000154f, 0.000162f, 0.000172f, 0.000182f, 0.000187f, + 0.000197f, 0.000209f, 0.000225f, 0.000231f, 0.000246f, 0.000262f, 0.000290f, 0.000306f, + 0.000321f, 0.000349f, 0.000380f, 0.000402f, 0.000437f, 0.000480f, 0.000525f, 0.000579f, + 0.000649f, 0.000735f, 0.000842f, 0.000984f, 0.001173f, 0.001451f, 0.001855f, 0.002485f, + 0.003542f, 0.005753f, 0.362305f, 0.434326f, 0.451904f, 0.460693f, 0.465576f, 0.468506f, + 0.000064f, 0.000044f, 0.000036f, 0.000032f, 0.000029f, 0.000027f, 0.000025f, 0.000024f, + 0.000022f, 0.000023f, 0.000021f, 0.000027f, 0.000023f, 0.000022f, 0.000028f, 0.000031f, + 0.000030f, 0.000034f, 0.000036f, 0.000038f, 0.000040f, 0.000045f, 0.000048f, 0.000042f, + 0.000047f, 0.000053f, 0.000055f, 0.000054f, 0.000060f, 0.000062f, 0.000065f, 0.000072f, + 0.000078f, 0.000075f, 0.000079f, 0.000087f, 0.000093f, 0.000098f, 0.000106f, 0.000113f, + 0.000121f, 0.000126f, 0.000136f, 0.000150f, 0.000159f, 0.000173f, 0.000190f, 0.000209f, + 0.000235f, 0.000265f, 0.000302f, 0.000343f, 0.000416f, 0.000515f, 0.000665f, 0.000917f, + 0.001396f, 0.002401f, 0.349854f, 0.421875f, 0.440918f, 0.449951f, 0.455811f, 0.458008f, + 0.000030f, 0.000020f, 0.000016f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, + 0.000011f, 0.000011f, 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, + 0.000009f, 0.000008f, 0.000008f, 0.000008f, 0.000007f, 0.000007f, 0.000008f, 0.000008f, + 0.000009f, 0.000011f, 0.000011f, 0.000013f, 0.000013f, 0.000012f, 0.000013f, 0.000014f, + 0.000016f, 0.000018f, 0.000018f, 0.000019f, 0.000021f, 0.000021f, 0.000023f, 0.000027f, + 0.000025f, 0.000028f, 0.000031f, 0.000032f, 0.000033f, 0.000038f, 0.000043f, 0.000046f, + 0.000050f, 0.000055f, 0.000062f, 0.000074f, 0.000088f, 0.000106f, 0.000138f, 0.000191f, + 0.000312f, 0.000653f, 0.337402f, 0.410645f, 0.431152f, 0.438965f, 0.445068f, 0.448975f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000006f, + 0.000010f, 0.000026f, 0.324219f, 0.399902f, 0.419922f, 0.429688f, 0.435059f, 0.438965f, + }, + { + 0.010521f, 0.032043f, 0.054443f, 0.076843f, 0.098572f, 0.121216f, 0.142700f, 0.164062f, + 0.185913f, 0.207275f, 0.229004f, 0.249268f, 0.270508f, 0.290527f, 0.311035f, 0.331055f, + 0.350586f, 0.370361f, 0.389648f, 0.408936f, 0.428223f, 0.446533f, 0.465088f, 0.482666f, + 0.500977f, 0.519043f, 0.536133f, 0.553223f, 0.570801f, 0.587891f, 0.604980f, 0.621582f, + 0.637207f, 0.653320f, 0.668945f, 0.685547f, 0.700684f, 0.716309f, 0.730957f, 0.745605f, + 0.760254f, 0.774902f, 0.789551f, 0.803711f, 0.816895f, 0.831543f, 0.845703f, 0.858887f, + 0.871582f, 0.885254f, 0.897949f, 0.910645f, 0.923340f, 0.936035f, 0.948242f, 0.959961f, + 0.972168f, 0.984375f, 0.972656f, 0.936035f, 0.910645f, 0.890137f, 0.872070f, 0.855957f, + 0.010048f, 0.030350f, 0.051392f, 0.072266f, 0.093506f, 0.114319f, 0.135620f, 0.155273f, + 0.177124f, 0.197144f, 0.217773f, 0.237915f, 0.257568f, 0.277588f, 0.298096f, 0.316895f, + 0.336182f, 0.355225f, 0.374268f, 0.393311f, 0.411865f, 0.430176f, 0.448486f, 0.466309f, + 0.483398f, 0.501465f, 0.519043f, 0.535645f, 0.552734f, 0.570312f, 0.586426f, 0.602539f, + 0.618652f, 0.635254f, 0.650879f, 0.666016f, 0.682129f, 0.697266f, 0.712402f, 0.727539f, + 0.741699f, 0.756836f, 0.770996f, 0.785645f, 0.799805f, 0.812988f, 0.826660f, 0.840332f, + 0.854004f, 0.867676f, 0.881348f, 0.893066f, 0.907715f, 0.919434f, 0.932617f, 0.943848f, + 0.955566f, 0.968262f, 0.965332f, 0.930664f, 0.906738f, 0.886719f, 0.869629f, 0.854004f, + 0.009254f, 0.028961f, 0.048615f, 0.068054f, 0.088562f, 0.108093f, 0.128540f, 0.147705f, + 0.167236f, 0.188599f, 0.207886f, 0.227295f, 0.244873f, 0.265625f, 0.284668f, 0.303955f, + 0.322510f, 0.340820f, 0.358887f, 0.378662f, 0.396484f, 0.414307f, 0.431885f, 0.448975f, + 0.466797f, 0.484619f, 0.500977f, 0.519043f, 0.535645f, 0.551758f, 0.568359f, 0.584961f, + 0.600586f, 0.616699f, 0.632324f, 0.647949f, 0.663086f, 0.678223f, 0.693848f, 0.708984f, + 0.723633f, 0.738281f, 0.752930f, 0.767578f, 0.780762f, 0.794922f, 0.809082f, 0.822754f, + 0.835938f, 0.849609f, 0.863770f, 0.875488f, 0.888672f, 0.902344f, 0.915527f, 0.927246f, + 0.939453f, 0.952637f, 0.958008f, 0.925293f, 0.901855f, 0.882812f, 0.866211f, 0.851562f, + 0.008736f, 0.027039f, 0.045807f, 0.064514f, 0.083801f, 0.102844f, 0.121826f, 0.140869f, + 0.159302f, 0.179077f, 0.197388f, 0.216064f, 0.234741f, 0.253662f, 0.271729f, 0.290283f, + 0.308350f, 0.327148f, 0.344238f, 0.362061f, 0.381836f, 0.398926f, 0.416016f, 0.432373f, + 0.450195f, 0.466797f, 0.484375f, 0.500977f, 0.517090f, 0.533691f, 0.550781f, 0.567871f, + 0.582031f, 0.598145f, 0.613770f, 0.629395f, 0.645020f, 0.659668f, 0.675781f, 0.689941f, + 0.705566f, 0.719727f, 0.734375f, 0.749512f, 0.763184f, 0.776855f, 0.791016f, 0.804688f, + 0.818848f, 0.832031f, 0.845215f, 0.858398f, 0.872559f, 0.884766f, 0.897949f, 0.909668f, + 0.922852f, 0.936035f, 0.950684f, 0.919434f, 0.896973f, 0.878906f, 0.862793f, 0.848633f, + 0.008339f, 0.025543f, 0.043427f, 0.060974f, 0.078979f, 0.097168f, 0.115051f, 0.133179f, + 0.151367f, 0.169678f, 0.187988f, 0.206055f, 0.223999f, 0.241821f, 0.260742f, 0.277832f, + 0.295166f, 0.313232f, 0.331299f, 0.347412f, 0.365479f, 0.383057f, 0.399902f, 0.416992f, + 0.433350f, 0.450195f, 0.467773f, 0.484863f, 0.499756f, 0.515625f, 0.532715f, 0.548340f, + 0.564941f, 0.580566f, 0.596191f, 0.610840f, 0.626953f, 0.641602f, 0.656738f, 0.671875f, + 0.686035f, 0.701660f, 0.714844f, 0.730469f, 0.745117f, 0.759766f, 0.772461f, 0.786621f, + 0.801270f, 0.814453f, 0.827637f, 0.841309f, 0.854004f, 0.867676f, 0.880859f, 0.893555f, + 0.907227f, 0.919434f, 0.943359f, 0.913086f, 0.891602f, 0.874512f, 0.858887f, 0.845703f, + 0.008102f, 0.024002f, 0.040802f, 0.057098f, 0.074768f, 0.091553f, 0.108826f, 0.126343f, + 0.143921f, 0.161377f, 0.179077f, 0.195923f, 0.213745f, 0.230835f, 0.248047f, 0.265869f, + 0.282227f, 0.299561f, 0.316895f, 0.334473f, 0.350586f, 0.367920f, 0.384277f, 0.400391f, + 0.417725f, 0.434326f, 0.450195f, 0.467285f, 0.482910f, 0.498291f, 0.514648f, 0.530762f, + 0.546387f, 0.561523f, 0.577637f, 0.593262f, 0.608398f, 0.623535f, 0.637695f, 0.654297f, + 0.668457f, 0.682617f, 0.698242f, 0.711914f, 0.727051f, 0.741211f, 0.754395f, 0.768066f, + 0.782715f, 0.796387f, 0.810547f, 0.823730f, 0.836426f, 0.849609f, 0.863770f, 0.876465f, + 0.889648f, 0.902344f, 0.934570f, 0.907715f, 0.887207f, 0.870117f, 0.854980f, 0.842285f, + 0.007504f, 0.022812f, 0.038727f, 0.054871f, 0.070312f, 0.087097f, 0.103088f, 0.119446f, + 0.136475f, 0.153442f, 0.169556f, 0.186523f, 0.203369f, 0.219971f, 0.236450f, 0.253418f, + 0.270264f, 0.287109f, 0.302979f, 0.319824f, 0.336182f, 0.353271f, 0.369141f, 0.386230f, + 0.402100f, 0.417725f, 0.433594f, 0.450684f, 0.466553f, 0.482178f, 0.498047f, 0.513184f, + 0.528809f, 0.543945f, 0.559082f, 0.575195f, 0.589844f, 0.605469f, 0.621094f, 0.634277f, + 0.649414f, 0.665039f, 0.679688f, 0.694824f, 0.708496f, 0.722168f, 0.736816f, 0.750000f, + 0.763184f, 0.778809f, 0.791504f, 0.805664f, 0.819336f, 0.832520f, 0.845703f, 0.858887f, + 0.872070f, 0.885742f, 0.927246f, 0.900879f, 0.881836f, 0.864746f, 0.851074f, 0.838867f, + 0.006836f, 0.021683f, 0.036224f, 0.051666f, 0.066772f, 0.081970f, 0.098022f, 0.113831f, + 0.129517f, 0.145264f, 0.161011f, 0.177856f, 0.193359f, 0.209106f, 0.226196f, 0.241821f, + 0.257812f, 0.274414f, 0.290283f, 0.306641f, 0.322754f, 0.338623f, 0.354492f, 0.370361f, + 0.386230f, 0.402100f, 0.417725f, 0.433838f, 0.449463f, 0.465088f, 0.480469f, 0.495605f, + 0.511719f, 0.527344f, 0.541016f, 0.556641f, 0.571777f, 0.587402f, 0.601562f, 0.617676f, + 0.631836f, 0.646484f, 0.660645f, 0.674805f, 0.689941f, 0.704102f, 0.718262f, 0.731934f, + 0.746582f, 0.760254f, 0.774414f, 0.786621f, 0.801758f, 0.815430f, 0.828125f, 0.842285f, + 0.854980f, 0.868652f, 0.918457f, 0.894531f, 0.875977f, 0.859863f, 0.846680f, 0.834961f, + 0.006672f, 0.020401f, 0.034088f, 0.048462f, 0.062927f, 0.077820f, 0.092529f, 0.107666f, + 0.122803f, 0.137695f, 0.152954f, 0.169067f, 0.183716f, 0.199829f, 0.214722f, 0.230347f, + 0.246704f, 0.262207f, 0.277832f, 0.292969f, 0.308105f, 0.324219f, 0.339600f, 0.354492f, + 0.371094f, 0.386963f, 0.401855f, 0.418457f, 0.432861f, 0.449219f, 0.463379f, 0.478271f, + 0.494385f, 0.508301f, 0.523438f, 0.539551f, 0.553711f, 0.568848f, 0.583984f, 0.598633f, + 0.612793f, 0.627441f, 0.642578f, 0.656250f, 0.670898f, 0.685547f, 0.698730f, 0.714355f, + 0.728027f, 0.742188f, 0.755859f, 0.769531f, 0.783691f, 0.795898f, 0.810059f, 0.824707f, + 0.838379f, 0.850586f, 0.910645f, 0.887695f, 0.870117f, 0.854980f, 0.842285f, 0.831055f, + 0.006207f, 0.019211f, 0.032623f, 0.046112f, 0.059662f, 0.073181f, 0.087585f, 0.102051f, + 0.116577f, 0.130249f, 0.145142f, 0.159790f, 0.175171f, 0.189575f, 0.205322f, 0.219238f, + 0.235474f, 0.249634f, 0.265137f, 0.280029f, 0.294678f, 0.310547f, 0.325928f, 0.340820f, + 0.356201f, 0.371094f, 0.386230f, 0.401367f, 0.416504f, 0.431885f, 0.446533f, 0.461670f, + 0.476074f, 0.492188f, 0.507324f, 0.520996f, 0.535645f, 0.550781f, 0.564941f, 0.580078f, + 0.594727f, 0.609863f, 0.623535f, 0.637695f, 0.652832f, 0.667480f, 0.681152f, 0.695312f, + 0.709473f, 0.723633f, 0.737793f, 0.751953f, 0.765137f, 0.779297f, 0.793945f, 0.807129f, + 0.819824f, 0.833496f, 0.901855f, 0.880859f, 0.864258f, 0.850098f, 0.837891f, 0.826660f, + 0.006020f, 0.018219f, 0.030579f, 0.043365f, 0.055908f, 0.069153f, 0.082336f, 0.096802f, + 0.109497f, 0.123535f, 0.137451f, 0.151855f, 0.165649f, 0.180054f, 0.194702f, 0.208252f, + 0.223999f, 0.238037f, 0.252930f, 0.267334f, 0.281982f, 0.296875f, 0.312012f, 0.326904f, + 0.340820f, 0.355957f, 0.370850f, 0.385986f, 0.400391f, 0.415039f, 0.430176f, 0.445801f, + 0.459229f, 0.474365f, 0.489014f, 0.502441f, 0.518066f, 0.533203f, 0.547363f, 0.562012f, + 0.576660f, 0.590820f, 0.605469f, 0.619629f, 0.633789f, 0.647949f, 0.663574f, 0.676758f, + 0.690918f, 0.705566f, 0.719238f, 0.733398f, 0.746582f, 0.760254f, 0.774414f, 0.788574f, + 0.802246f, 0.816406f, 0.894043f, 0.874023f, 0.858398f, 0.844238f, 0.832031f, 0.822266f, + 0.005520f, 0.017059f, 0.028625f, 0.040649f, 0.053131f, 0.065552f, 0.077698f, 0.091187f, + 0.104065f, 0.117371f, 0.130859f, 0.143677f, 0.157349f, 0.171021f, 0.184814f, 0.198730f, + 0.213135f, 0.226807f, 0.241211f, 0.255127f, 0.269775f, 0.283691f, 0.298096f, 0.312744f, + 0.326660f, 0.341553f, 0.355957f, 0.370117f, 0.384766f, 0.399170f, 0.414307f, 0.427979f, + 0.442627f, 0.457764f, 0.471924f, 0.486084f, 0.500488f, 0.515137f, 0.529785f, 0.543945f, + 0.558594f, 0.572754f, 0.587402f, 0.601074f, 0.615234f, 0.629395f, 0.644043f, 0.657715f, + 0.672852f, 0.685547f, 0.700684f, 0.714844f, 0.728027f, 0.743164f, 0.756348f, 0.770508f, + 0.785645f, 0.798340f, 0.885254f, 0.867676f, 0.852051f, 0.839355f, 0.828125f, 0.817871f, + 0.005241f, 0.015854f, 0.027481f, 0.038605f, 0.050171f, 0.061859f, 0.073853f, 0.085693f, + 0.098328f, 0.111206f, 0.123474f, 0.136475f, 0.149658f, 0.162598f, 0.175293f, 0.188477f, + 0.202148f, 0.216431f, 0.229858f, 0.242798f, 0.256104f, 0.270264f, 0.284668f, 0.298828f, + 0.312744f, 0.326904f, 0.341064f, 0.355469f, 0.369141f, 0.383057f, 0.396729f, 0.411621f, + 0.426025f, 0.439697f, 0.454590f, 0.468506f, 0.482666f, 0.497070f, 0.512207f, 0.525391f, + 0.540527f, 0.555176f, 0.567871f, 0.582031f, 0.596191f, 0.610840f, 0.625488f, 0.639648f, + 0.653809f, 0.668457f, 0.681641f, 0.695801f, 0.710449f, 0.724121f, 0.738770f, 0.751953f, + 0.766602f, 0.780273f, 0.876465f, 0.860352f, 0.845703f, 0.833984f, 0.822754f, 0.812988f, + 0.004982f, 0.015274f, 0.025681f, 0.036438f, 0.047119f, 0.058167f, 0.069397f, 0.081055f, + 0.092957f, 0.104492f, 0.116577f, 0.128418f, 0.141113f, 0.153442f, 0.166504f, 0.179321f, + 0.192261f, 0.205200f, 0.218506f, 0.231934f, 0.244629f, 0.258301f, 0.271729f, 0.284912f, + 0.299072f, 0.312988f, 0.325684f, 0.340088f, 0.353271f, 0.367676f, 0.381836f, 0.395508f, + 0.408936f, 0.423584f, 0.438232f, 0.451416f, 0.466309f, 0.479736f, 0.493896f, 0.507812f, + 0.521973f, 0.536133f, 0.550293f, 0.563965f, 0.578613f, 0.592773f, 0.606934f, 0.620605f, + 0.635254f, 0.649414f, 0.663086f, 0.677246f, 0.691406f, 0.706543f, 0.720703f, 0.734375f, + 0.748047f, 0.762695f, 0.868164f, 0.853027f, 0.839355f, 0.828125f, 0.817383f, 0.808105f, + 0.004745f, 0.014290f, 0.024506f, 0.034393f, 0.044617f, 0.054749f, 0.065308f, 0.076538f, + 0.087646f, 0.098938f, 0.110535f, 0.121582f, 0.134155f, 0.145264f, 0.157837f, 0.170166f, + 0.182373f, 0.194824f, 0.207153f, 0.220337f, 0.233276f, 0.245728f, 0.259277f, 0.271973f, + 0.285645f, 0.298584f, 0.311768f, 0.325684f, 0.338623f, 0.352539f, 0.365967f, 0.379395f, + 0.393066f, 0.406738f, 0.421143f, 0.434326f, 0.448730f, 0.462402f, 0.475586f, 0.490479f, + 0.503906f, 0.518066f, 0.532227f, 0.546387f, 0.560059f, 0.574219f, 0.588379f, 0.602539f, + 0.616211f, 0.630371f, 0.644531f, 0.658691f, 0.673340f, 0.686523f, 0.701660f, 0.715332f, + 0.730469f, 0.745117f, 0.858887f, 0.845215f, 0.833008f, 0.821777f, 0.812012f, 0.802734f, + 0.004494f, 0.013550f, 0.022675f, 0.032227f, 0.042145f, 0.052002f, 0.061554f, 0.072205f, + 0.082520f, 0.093323f, 0.104614f, 0.115112f, 0.126099f, 0.137817f, 0.149536f, 0.160767f, + 0.172607f, 0.184692f, 0.196167f, 0.208862f, 0.221924f, 0.233765f, 0.246216f, 0.258545f, + 0.272461f, 0.284424f, 0.297119f, 0.310547f, 0.323242f, 0.336914f, 0.350586f, 0.363281f, + 0.376953f, 0.390869f, 0.403564f, 0.416992f, 0.431152f, 0.444824f, 0.458496f, 0.472656f, + 0.486084f, 0.500000f, 0.513672f, 0.527832f, 0.541504f, 0.555664f, 0.569824f, 0.583496f, + 0.598145f, 0.611816f, 0.626465f, 0.639648f, 0.654297f, 0.668457f, 0.683594f, 0.697754f, + 0.711914f, 0.726562f, 0.849609f, 0.838867f, 0.826172f, 0.815918f, 0.806641f, 0.796875f, + 0.004288f, 0.012619f, 0.021713f, 0.030945f, 0.039368f, 0.048737f, 0.058533f, 0.067932f, + 0.077759f, 0.088013f, 0.098755f, 0.108398f, 0.119080f, 0.129639f, 0.141235f, 0.152466f, + 0.163940f, 0.174927f, 0.186768f, 0.198608f, 0.210205f, 0.222290f, 0.234131f, 0.246094f, + 0.258789f, 0.270508f, 0.283203f, 0.296631f, 0.309326f, 0.321777f, 0.335449f, 0.348145f, + 0.361084f, 0.374023f, 0.386963f, 0.400391f, 0.414062f, 0.427734f, 0.441162f, 0.455078f, + 0.467773f, 0.482422f, 0.495117f, 0.509277f, 0.523926f, 0.536621f, 0.550781f, 0.564941f, + 0.579102f, 0.593262f, 0.607422f, 0.621582f, 0.635742f, 0.649902f, 0.664551f, 0.678711f, + 0.693848f, 0.708008f, 0.840820f, 0.831055f, 0.819336f, 0.809570f, 0.801270f, 0.792969f, + 0.004013f, 0.012070f, 0.019989f, 0.029190f, 0.037415f, 0.045776f, 0.055023f, 0.064392f, + 0.073669f, 0.083374f, 0.092224f, 0.102295f, 0.112610f, 0.122742f, 0.133057f, 0.143799f, + 0.155273f, 0.165527f, 0.176880f, 0.188110f, 0.199463f, 0.210815f, 0.222534f, 0.234619f, + 0.245972f, 0.258301f, 0.270508f, 0.282715f, 0.294678f, 0.307129f, 0.320557f, 0.333008f, + 0.345947f, 0.358398f, 0.371826f, 0.384277f, 0.397461f, 0.410889f, 0.424561f, 0.437256f, + 0.451416f, 0.464600f, 0.477783f, 0.491455f, 0.504395f, 0.518555f, 0.532715f, 0.546875f, + 0.560547f, 0.574219f, 0.588379f, 0.604004f, 0.617188f, 0.631348f, 0.645020f, 0.660645f, + 0.674316f, 0.689941f, 0.832031f, 0.823242f, 0.813477f, 0.803711f, 0.794922f, 0.787109f, + 0.003790f, 0.011559f, 0.019119f, 0.027069f, 0.035034f, 0.043762f, 0.052032f, 0.060059f, + 0.069153f, 0.078369f, 0.087280f, 0.096741f, 0.105957f, 0.115967f, 0.125732f, 0.135620f, + 0.146118f, 0.156128f, 0.166992f, 0.177612f, 0.188965f, 0.199829f, 0.210815f, 0.222290f, + 0.233887f, 0.244873f, 0.257324f, 0.268799f, 0.281006f, 0.292969f, 0.305420f, 0.317627f, + 0.329834f, 0.341797f, 0.355469f, 0.368164f, 0.380859f, 0.393311f, 0.407227f, 0.419434f, + 0.433350f, 0.446533f, 0.459961f, 0.473633f, 0.486328f, 0.500488f, 0.515625f, 0.528320f, + 0.541504f, 0.556152f, 0.570312f, 0.584473f, 0.598633f, 0.612305f, 0.626465f, 0.640625f, + 0.655762f, 0.670410f, 0.822266f, 0.815918f, 0.805664f, 0.796387f, 0.788574f, 0.782227f, + 0.003599f, 0.010727f, 0.018219f, 0.025177f, 0.033203f, 0.041046f, 0.048981f, 0.057220f, + 0.065247f, 0.073792f, 0.082764f, 0.091064f, 0.100220f, 0.108826f, 0.118591f, 0.128052f, + 0.137573f, 0.147705f, 0.158081f, 0.167603f, 0.177979f, 0.188721f, 0.198975f, 0.210205f, + 0.221924f, 0.232544f, 0.243774f, 0.255615f, 0.267090f, 0.278564f, 0.290039f, 0.302490f, + 0.314941f, 0.327393f, 0.338623f, 0.352295f, 0.364014f, 0.377441f, 0.390381f, 0.403564f, + 0.415039f, 0.428955f, 0.441895f, 0.455078f, 0.468994f, 0.482666f, 0.496094f, 0.509277f, + 0.523926f, 0.537598f, 0.551270f, 0.565430f, 0.579590f, 0.594238f, 0.608887f, 0.622559f, + 0.637207f, 0.651855f, 0.813477f, 0.807617f, 0.798340f, 0.790527f, 0.782715f, 0.775391f, + 0.003355f, 0.009918f, 0.017105f, 0.023911f, 0.031281f, 0.038147f, 0.045990f, 0.053284f, + 0.061493f, 0.069214f, 0.077026f, 0.085571f, 0.093567f, 0.102600f, 0.111755f, 0.120728f, + 0.129761f, 0.138916f, 0.148804f, 0.158447f, 0.167725f, 0.177979f, 0.188965f, 0.198608f, + 0.209473f, 0.220215f, 0.231567f, 0.242554f, 0.253906f, 0.264160f, 0.276123f, 0.287109f, + 0.300049f, 0.312012f, 0.323975f, 0.336182f, 0.348145f, 0.360840f, 0.372803f, 0.385986f, + 0.398438f, 0.411621f, 0.424316f, 0.437256f, 0.450439f, 0.464844f, 0.478027f, 0.490723f, + 0.504395f, 0.518066f, 0.532715f, 0.546387f, 0.561523f, 0.575684f, 0.589355f, 0.604004f, + 0.618164f, 0.632324f, 0.802246f, 0.800293f, 0.792480f, 0.783691f, 0.776367f, 0.769531f, + 0.003265f, 0.009575f, 0.016144f, 0.022415f, 0.029510f, 0.036316f, 0.042755f, 0.050812f, + 0.057556f, 0.065002f, 0.072388f, 0.080200f, 0.087952f, 0.096680f, 0.104858f, 0.113281f, + 0.122070f, 0.130493f, 0.139771f, 0.148926f, 0.158447f, 0.168335f, 0.177612f, 0.187500f, + 0.198120f, 0.208130f, 0.218750f, 0.229492f, 0.240234f, 0.250732f, 0.262207f, 0.273682f, + 0.285156f, 0.296143f, 0.308594f, 0.320068f, 0.332520f, 0.344482f, 0.357178f, 0.368652f, + 0.381836f, 0.394043f, 0.406494f, 0.420410f, 0.433105f, 0.445801f, 0.459717f, 0.473633f, + 0.486816f, 0.500000f, 0.513672f, 0.527832f, 0.541992f, 0.556152f, 0.570312f, 0.585449f, + 0.598633f, 0.613770f, 0.794434f, 0.791504f, 0.784180f, 0.776855f, 0.770020f, 0.764160f, + 0.002954f, 0.008904f, 0.014961f, 0.021210f, 0.027420f, 0.033905f, 0.040619f, 0.047363f, + 0.053986f, 0.060883f, 0.068054f, 0.075378f, 0.082703f, 0.090515f, 0.098022f, 0.105896f, + 0.114319f, 0.122742f, 0.131592f, 0.139771f, 0.149170f, 0.157959f, 0.167480f, 0.177124f, + 0.186768f, 0.196411f, 0.206543f, 0.216919f, 0.227539f, 0.237671f, 0.248413f, 0.259277f, + 0.270264f, 0.281738f, 0.292725f, 0.304443f, 0.315918f, 0.327637f, 0.340576f, 0.352539f, + 0.364746f, 0.377930f, 0.390137f, 0.401855f, 0.415039f, 0.428223f, 0.441406f, 0.454834f, + 0.468506f, 0.481689f, 0.494873f, 0.509277f, 0.523438f, 0.537598f, 0.551758f, 0.565918f, + 0.580078f, 0.594727f, 0.783691f, 0.783203f, 0.776855f, 0.770508f, 0.763672f, 0.757324f, + 0.002836f, 0.008659f, 0.014351f, 0.019913f, 0.025772f, 0.032074f, 0.037933f, 0.044128f, + 0.050903f, 0.057159f, 0.064026f, 0.070496f, 0.077698f, 0.085022f, 0.091919f, 0.099426f, + 0.107727f, 0.114990f, 0.123169f, 0.131226f, 0.140015f, 0.148682f, 0.157349f, 0.166260f, + 0.175171f, 0.184692f, 0.194214f, 0.203979f, 0.214355f, 0.224487f, 0.234985f, 0.245728f, + 0.256104f, 0.267334f, 0.278320f, 0.288818f, 0.301025f, 0.312256f, 0.324219f, 0.335938f, + 0.347900f, 0.360596f, 0.372070f, 0.384521f, 0.397217f, 0.410400f, 0.423340f, 0.436279f, + 0.449463f, 0.463135f, 0.476807f, 0.490723f, 0.503906f, 0.517578f, 0.532227f, 0.546875f, + 0.561035f, 0.575684f, 0.773926f, 0.775391f, 0.769043f, 0.763672f, 0.757812f, 0.751953f, + 0.002506f, 0.008080f, 0.013100f, 0.018738f, 0.024384f, 0.029953f, 0.035797f, 0.041473f, + 0.047485f, 0.053558f, 0.059265f, 0.065918f, 0.072693f, 0.079468f, 0.086426f, 0.093384f, + 0.100708f, 0.108032f, 0.115417f, 0.122986f, 0.130615f, 0.139038f, 0.147827f, 0.156494f, + 0.165039f, 0.173828f, 0.182617f, 0.192139f, 0.201782f, 0.211426f, 0.221558f, 0.231323f, + 0.242188f, 0.252686f, 0.263672f, 0.274414f, 0.284912f, 0.296143f, 0.308105f, 0.319824f, + 0.331543f, 0.343750f, 0.355225f, 0.367432f, 0.379883f, 0.393066f, 0.405273f, 0.418457f, + 0.431641f, 0.444580f, 0.457764f, 0.471924f, 0.485840f, 0.499268f, 0.512695f, 0.527344f, + 0.542480f, 0.556641f, 0.764160f, 0.766602f, 0.761719f, 0.756348f, 0.750488f, 0.745605f, + 0.002640f, 0.007809f, 0.012497f, 0.017593f, 0.023102f, 0.028122f, 0.033569f, 0.038879f, + 0.044250f, 0.049988f, 0.055908f, 0.061615f, 0.067627f, 0.074036f, 0.080566f, 0.087524f, + 0.093262f, 0.100769f, 0.107910f, 0.114929f, 0.121948f, 0.130371f, 0.137939f, 0.146362f, + 0.154297f, 0.163208f, 0.171509f, 0.180664f, 0.189697f, 0.199341f, 0.208618f, 0.218506f, + 0.228394f, 0.238892f, 0.248779f, 0.259277f, 0.270752f, 0.281250f, 0.292236f, 0.303467f, + 0.315186f, 0.326660f, 0.338867f, 0.351074f, 0.362305f, 0.374756f, 0.387939f, 0.400146f, + 0.413330f, 0.426514f, 0.439209f, 0.452881f, 0.466553f, 0.480225f, 0.494141f, 0.508301f, + 0.522949f, 0.537109f, 0.753906f, 0.758301f, 0.754395f, 0.749023f, 0.743652f, 0.739258f, + 0.002441f, 0.007088f, 0.011993f, 0.016266f, 0.021255f, 0.026031f, 0.031189f, 0.036072f, + 0.041260f, 0.046753f, 0.052155f, 0.057587f, 0.063232f, 0.068787f, 0.075623f, 0.081055f, + 0.087341f, 0.094177f, 0.100647f, 0.106689f, 0.113892f, 0.121399f, 0.129028f, 0.136841f, + 0.144287f, 0.152222f, 0.160522f, 0.169312f, 0.178101f, 0.186523f, 0.196045f, 0.205200f, + 0.214966f, 0.224487f, 0.234863f, 0.244751f, 0.255371f, 0.265625f, 0.276367f, 0.287842f, + 0.298828f, 0.310303f, 0.321533f, 0.333984f, 0.345459f, 0.357666f, 0.370117f, 0.382568f, + 0.394287f, 0.407959f, 0.421875f, 0.433838f, 0.446777f, 0.461426f, 0.475098f, 0.488525f, + 0.504395f, 0.517578f, 0.744141f, 0.749512f, 0.746094f, 0.741699f, 0.736816f, 0.732422f, + 0.002172f, 0.006695f, 0.011093f, 0.015266f, 0.020081f, 0.024521f, 0.029388f, 0.033966f, + 0.038727f, 0.043427f, 0.048706f, 0.053772f, 0.059418f, 0.064270f, 0.069580f, 0.075500f, + 0.081421f, 0.087280f, 0.093262f, 0.099670f, 0.106567f, 0.113220f, 0.119995f, 0.127197f, + 0.134644f, 0.142212f, 0.150146f, 0.157959f, 0.166382f, 0.174927f, 0.184082f, 0.192505f, + 0.201904f, 0.211792f, 0.220825f, 0.230713f, 0.240601f, 0.251221f, 0.261719f, 0.272461f, + 0.282715f, 0.294434f, 0.305420f, 0.316650f, 0.328369f, 0.340088f, 0.352783f, 0.364746f, + 0.377197f, 0.389648f, 0.402832f, 0.416016f, 0.429443f, 0.442627f, 0.456055f, 0.469971f, + 0.484863f, 0.499268f, 0.733887f, 0.741211f, 0.737793f, 0.734375f, 0.729980f, 0.725586f, + 0.002045f, 0.006187f, 0.010406f, 0.014664f, 0.018570f, 0.022675f, 0.027176f, 0.031586f, + 0.035858f, 0.040253f, 0.045227f, 0.049774f, 0.054504f, 0.059692f, 0.065186f, 0.070374f, + 0.075500f, 0.080627f, 0.086792f, 0.092285f, 0.098999f, 0.104675f, 0.111816f, 0.118286f, + 0.125610f, 0.132324f, 0.139771f, 0.147339f, 0.155029f, 0.163696f, 0.171631f, 0.180420f, + 0.189087f, 0.197754f, 0.207275f, 0.216309f, 0.226440f, 0.236694f, 0.246338f, 0.256836f, + 0.267334f, 0.278320f, 0.289062f, 0.300537f, 0.312012f, 0.323975f, 0.335449f, 0.347168f, + 0.359375f, 0.372314f, 0.384521f, 0.396973f, 0.410400f, 0.423584f, 0.437500f, 0.450928f, + 0.465332f, 0.479736f, 0.723145f, 0.732422f, 0.729980f, 0.726562f, 0.722656f, 0.718750f, + 0.002148f, 0.005802f, 0.009811f, 0.013565f, 0.017578f, 0.021179f, 0.025040f, 0.029053f, + 0.033417f, 0.037445f, 0.042114f, 0.046112f, 0.050720f, 0.055511f, 0.060028f, 0.065002f, + 0.069458f, 0.075134f, 0.080078f, 0.085693f, 0.091492f, 0.097290f, 0.103394f, 0.109802f, + 0.116089f, 0.122925f, 0.129883f, 0.136963f, 0.144165f, 0.151733f, 0.160156f, 0.167847f, + 0.176392f, 0.184692f, 0.193848f, 0.203003f, 0.212402f, 0.221680f, 0.231689f, 0.242065f, + 0.251953f, 0.262207f, 0.273193f, 0.283936f, 0.295410f, 0.306152f, 0.318359f, 0.329590f, + 0.342285f, 0.354248f, 0.366455f, 0.379150f, 0.391846f, 0.405273f, 0.418701f, 0.432617f, + 0.446289f, 0.460205f, 0.712891f, 0.723633f, 0.722168f, 0.718750f, 0.715332f, 0.712402f, + 0.001963f, 0.005642f, 0.009071f, 0.012756f, 0.016006f, 0.020020f, 0.023422f, 0.027679f, + 0.030762f, 0.034943f, 0.038605f, 0.042969f, 0.047028f, 0.051178f, 0.055542f, 0.060120f, + 0.064575f, 0.069153f, 0.074280f, 0.079041f, 0.084595f, 0.089905f, 0.095276f, 0.101440f, + 0.107300f, 0.113586f, 0.119751f, 0.127075f, 0.134033f, 0.141357f, 0.148438f, 0.155884f, + 0.164062f, 0.172729f, 0.180542f, 0.190063f, 0.198364f, 0.207764f, 0.217163f, 0.226807f, + 0.236938f, 0.247070f, 0.257324f, 0.268066f, 0.278320f, 0.289795f, 0.301025f, 0.312744f, + 0.324707f, 0.336182f, 0.347900f, 0.360840f, 0.372803f, 0.386230f, 0.399902f, 0.413574f, + 0.427246f, 0.441162f, 0.702148f, 0.714355f, 0.713867f, 0.711426f, 0.707520f, 0.704590f, + 0.001995f, 0.005245f, 0.008553f, 0.011543f, 0.015015f, 0.018326f, 0.021881f, 0.025131f, + 0.028641f, 0.032349f, 0.035675f, 0.039520f, 0.043549f, 0.047089f, 0.051086f, 0.054962f, + 0.059265f, 0.063782f, 0.068054f, 0.072571f, 0.077759f, 0.082520f, 0.088013f, 0.093323f, + 0.098755f, 0.104858f, 0.111145f, 0.117371f, 0.123840f, 0.130615f, 0.137207f, 0.144897f, + 0.152344f, 0.160278f, 0.167969f, 0.176514f, 0.185425f, 0.193848f, 0.202881f, 0.212524f, + 0.221924f, 0.231323f, 0.241821f, 0.251953f, 0.262451f, 0.272949f, 0.284424f, 0.295166f, + 0.306396f, 0.319092f, 0.329590f, 0.343018f, 0.355225f, 0.368652f, 0.381348f, 0.393799f, + 0.408447f, 0.422852f, 0.691406f, 0.706055f, 0.706055f, 0.703125f, 0.700684f, 0.697754f, + 0.001692f, 0.004898f, 0.007828f, 0.011070f, 0.013992f, 0.017227f, 0.020187f, 0.023499f, + 0.026520f, 0.029526f, 0.033081f, 0.036377f, 0.039459f, 0.043396f, 0.047028f, 0.050323f, + 0.054199f, 0.058350f, 0.062317f, 0.066711f, 0.071106f, 0.075928f, 0.080750f, 0.085510f, + 0.090820f, 0.096497f, 0.102234f, 0.107727f, 0.114075f, 0.120300f, 0.126587f, 0.133789f, + 0.141113f, 0.148193f, 0.156006f, 0.163696f, 0.171753f, 0.180542f, 0.188965f, 0.198120f, + 0.207275f, 0.216797f, 0.226318f, 0.236206f, 0.246338f, 0.256836f, 0.267334f, 0.278809f, + 0.289795f, 0.300781f, 0.313232f, 0.324707f, 0.337402f, 0.349365f, 0.362305f, 0.376221f, + 0.389404f, 0.403809f, 0.680176f, 0.696289f, 0.697266f, 0.695312f, 0.692871f, 0.689941f, + 0.001606f, 0.004543f, 0.007450f, 0.010269f, 0.012962f, 0.015900f, 0.018677f, 0.021591f, + 0.024628f, 0.027618f, 0.030182f, 0.033783f, 0.036194f, 0.039734f, 0.042725f, 0.046478f, + 0.049652f, 0.053253f, 0.057251f, 0.060883f, 0.065186f, 0.069336f, 0.073730f, 0.078247f, + 0.083252f, 0.088501f, 0.093628f, 0.099182f, 0.104553f, 0.110718f, 0.116577f, 0.123108f, + 0.129883f, 0.136719f, 0.143921f, 0.151367f, 0.159302f, 0.167114f, 0.175415f, 0.183960f, + 0.192871f, 0.202148f, 0.210938f, 0.221436f, 0.230713f, 0.240723f, 0.250977f, 0.261963f, + 0.272461f, 0.283691f, 0.295166f, 0.306885f, 0.319092f, 0.331055f, 0.343750f, 0.356689f, + 0.370361f, 0.383545f, 0.669434f, 0.687500f, 0.688965f, 0.687500f, 0.685547f, 0.682617f, + 0.001701f, 0.004345f, 0.006802f, 0.009514f, 0.012283f, 0.014793f, 0.017288f, 0.019958f, + 0.022614f, 0.025177f, 0.027695f, 0.030487f, 0.033081f, 0.035858f, 0.039185f, 0.042236f, + 0.045319f, 0.048523f, 0.051941f, 0.055847f, 0.059326f, 0.063171f, 0.067139f, 0.071594f, + 0.075928f, 0.080566f, 0.085571f, 0.090454f, 0.095520f, 0.101196f, 0.106567f, 0.112427f, + 0.119019f, 0.125610f, 0.132324f, 0.139282f, 0.146973f, 0.154419f, 0.161987f, 0.170532f, + 0.178833f, 0.187134f, 0.196777f, 0.206177f, 0.214966f, 0.225220f, 0.235352f, 0.246094f, + 0.255615f, 0.266846f, 0.278320f, 0.290039f, 0.301270f, 0.313477f, 0.325195f, 0.338867f, + 0.352539f, 0.365234f, 0.657715f, 0.678711f, 0.679688f, 0.679199f, 0.677734f, 0.675293f, + 0.001310f, 0.003979f, 0.006393f, 0.008522f, 0.011223f, 0.013557f, 0.015976f, 0.018433f, + 0.020737f, 0.022842f, 0.025421f, 0.027649f, 0.030289f, 0.032806f, 0.035645f, 0.038025f, + 0.041199f, 0.044220f, 0.047058f, 0.050720f, 0.053589f, 0.057281f, 0.061157f, 0.064941f, + 0.068787f, 0.072998f, 0.077698f, 0.082153f, 0.086975f, 0.092102f, 0.097229f, 0.103027f, + 0.108826f, 0.114746f, 0.121094f, 0.127930f, 0.134521f, 0.141846f, 0.149292f, 0.157227f, + 0.164673f, 0.173218f, 0.182007f, 0.190552f, 0.199951f, 0.209717f, 0.219360f, 0.229004f, + 0.239502f, 0.250244f, 0.260986f, 0.272461f, 0.282959f, 0.295166f, 0.307373f, 0.320557f, + 0.333252f, 0.346436f, 0.646973f, 0.668945f, 0.670898f, 0.671387f, 0.669922f, 0.668457f, + 0.001348f, 0.003523f, 0.005863f, 0.008133f, 0.010338f, 0.012520f, 0.014511f, 0.016464f, + 0.018768f, 0.020920f, 0.022888f, 0.025665f, 0.027588f, 0.029861f, 0.032135f, 0.034485f, + 0.037140f, 0.040039f, 0.042725f, 0.045532f, 0.048859f, 0.051971f, 0.055237f, 0.058594f, + 0.062408f, 0.066101f, 0.070251f, 0.074280f, 0.078735f, 0.083435f, 0.088318f, 0.093567f, + 0.098633f, 0.104431f, 0.110291f, 0.116455f, 0.122986f, 0.129517f, 0.136963f, 0.143921f, + 0.152222f, 0.159546f, 0.167358f, 0.176514f, 0.185181f, 0.194214f, 0.203857f, 0.213623f, + 0.223389f, 0.233521f, 0.244385f, 0.255127f, 0.266602f, 0.277832f, 0.289307f, 0.301758f, + 0.314697f, 0.328613f, 0.635254f, 0.659668f, 0.663086f, 0.663086f, 0.662109f, 0.660156f, + 0.001084f, 0.003263f, 0.005554f, 0.007416f, 0.009445f, 0.011185f, 0.013161f, 0.015366f, + 0.017136f, 0.019058f, 0.020935f, 0.022781f, 0.024857f, 0.026886f, 0.029160f, 0.031097f, + 0.033569f, 0.035858f, 0.038361f, 0.040924f, 0.043427f, 0.046478f, 0.049500f, 0.052948f, + 0.056122f, 0.059418f, 0.063293f, 0.067139f, 0.070923f, 0.075073f, 0.079712f, 0.084229f, + 0.089233f, 0.094604f, 0.100037f, 0.105774f, 0.111694f, 0.117798f, 0.124634f, 0.131226f, + 0.139038f, 0.146484f, 0.154175f, 0.162231f, 0.170654f, 0.179199f, 0.188599f, 0.197754f, + 0.207153f, 0.217407f, 0.227295f, 0.238159f, 0.248657f, 0.260986f, 0.271973f, 0.284912f, + 0.296631f, 0.308838f, 0.623535f, 0.650391f, 0.653809f, 0.654297f, 0.653809f, 0.652832f, + 0.001070f, 0.003069f, 0.005108f, 0.006855f, 0.008522f, 0.010384f, 0.011993f, 0.013847f, + 0.015549f, 0.016968f, 0.018677f, 0.020660f, 0.022079f, 0.024048f, 0.026077f, 0.027954f, + 0.030014f, 0.032135f, 0.034210f, 0.036560f, 0.038971f, 0.041840f, 0.044434f, 0.047089f, + 0.049896f, 0.053284f, 0.056763f, 0.060120f, 0.063477f, 0.067505f, 0.071533f, 0.075928f, + 0.080261f, 0.085205f, 0.089905f, 0.095520f, 0.100830f, 0.106567f, 0.113159f, 0.119385f, + 0.126221f, 0.133301f, 0.140259f, 0.148560f, 0.156494f, 0.165039f, 0.173462f, 0.182861f, + 0.192017f, 0.201172f, 0.211548f, 0.221802f, 0.232666f, 0.243286f, 0.254639f, 0.265869f, + 0.278809f, 0.291260f, 0.611816f, 0.640625f, 0.645508f, 0.645996f, 0.645508f, 0.645020f, + 0.001057f, 0.002815f, 0.004646f, 0.006187f, 0.007935f, 0.009583f, 0.011139f, 0.012428f, + 0.013878f, 0.015404f, 0.016830f, 0.018433f, 0.019836f, 0.021637f, 0.023300f, 0.024857f, + 0.026855f, 0.028519f, 0.030533f, 0.032593f, 0.034790f, 0.037140f, 0.039520f, 0.041748f, + 0.044525f, 0.047302f, 0.050232f, 0.053497f, 0.056580f, 0.059998f, 0.063721f, 0.067627f, + 0.071777f, 0.076111f, 0.080627f, 0.085571f, 0.090698f, 0.096130f, 0.101624f, 0.107849f, + 0.114258f, 0.120544f, 0.127686f, 0.135132f, 0.142700f, 0.150269f, 0.158813f, 0.167725f, + 0.176392f, 0.185791f, 0.195312f, 0.205444f, 0.216064f, 0.226562f, 0.237793f, 0.248657f, + 0.260254f, 0.272949f, 0.600098f, 0.631348f, 0.636230f, 0.637207f, 0.637695f, 0.636719f, + 0.001022f, 0.002628f, 0.004486f, 0.005684f, 0.007179f, 0.008636f, 0.009911f, 0.011307f, + 0.012428f, 0.013771f, 0.015152f, 0.016342f, 0.017822f, 0.018997f, 0.020584f, 0.022263f, + 0.023651f, 0.025482f, 0.027191f, 0.028793f, 0.030960f, 0.032715f, 0.034912f, 0.036987f, + 0.039368f, 0.041840f, 0.044495f, 0.047180f, 0.050110f, 0.053314f, 0.056580f, 0.060059f, + 0.063660f, 0.067383f, 0.071777f, 0.075928f, 0.081055f, 0.085938f, 0.091187f, 0.096619f, + 0.102356f, 0.108826f, 0.115051f, 0.121948f, 0.129150f, 0.136475f, 0.144653f, 0.152832f, + 0.161621f, 0.170288f, 0.179932f, 0.189209f, 0.198730f, 0.209595f, 0.220459f, 0.231201f, + 0.242798f, 0.255615f, 0.588867f, 0.621094f, 0.626953f, 0.629883f, 0.629395f, 0.629883f, + 0.001016f, 0.002304f, 0.003975f, 0.005024f, 0.006584f, 0.007812f, 0.008926f, 0.009987f, + 0.011024f, 0.012199f, 0.013321f, 0.014595f, 0.015617f, 0.016830f, 0.018326f, 0.019577f, + 0.020798f, 0.022293f, 0.023758f, 0.025253f, 0.027145f, 0.028656f, 0.030640f, 0.032501f, + 0.034546f, 0.036682f, 0.039001f, 0.041412f, 0.044037f, 0.046875f, 0.049622f, 0.052917f, + 0.056030f, 0.059387f, 0.063354f, 0.067383f, 0.071655f, 0.075928f, 0.080750f, 0.085876f, + 0.091248f, 0.097168f, 0.102905f, 0.109497f, 0.116272f, 0.123413f, 0.130859f, 0.138550f, + 0.147217f, 0.155518f, 0.164551f, 0.173828f, 0.183350f, 0.193481f, 0.204102f, 0.214600f, + 0.225342f, 0.237915f, 0.575684f, 0.611816f, 0.617188f, 0.621094f, 0.621582f, 0.620605f, + 0.000768f, 0.002398f, 0.003801f, 0.004875f, 0.005848f, 0.006889f, 0.008072f, 0.008820f, + 0.009758f, 0.010910f, 0.011810f, 0.013023f, 0.013878f, 0.014786f, 0.016083f, 0.017166f, + 0.018402f, 0.019577f, 0.020691f, 0.022125f, 0.023743f, 0.025009f, 0.026779f, 0.028336f, + 0.030075f, 0.031921f, 0.033997f, 0.036255f, 0.038452f, 0.040833f, 0.043488f, 0.045959f, + 0.049011f, 0.052216f, 0.055634f, 0.059052f, 0.062744f, 0.066956f, 0.071289f, 0.075745f, + 0.080566f, 0.086060f, 0.091614f, 0.097351f, 0.103821f, 0.110291f, 0.117432f, 0.124939f, + 0.132568f, 0.140869f, 0.149414f, 0.158325f, 0.168213f, 0.177368f, 0.187744f, 0.197876f, + 0.208984f, 0.219849f, 0.563965f, 0.602051f, 0.608887f, 0.610840f, 0.613770f, 0.612305f, + 0.000764f, 0.002028f, 0.003302f, 0.004276f, 0.005325f, 0.006035f, 0.007034f, 0.007843f, + 0.008904f, 0.009628f, 0.010323f, 0.011192f, 0.012039f, 0.013092f, 0.013924f, 0.014854f, + 0.015793f, 0.016953f, 0.018036f, 0.019211f, 0.020355f, 0.021667f, 0.023010f, 0.024582f, + 0.026016f, 0.027771f, 0.029434f, 0.031235f, 0.033264f, 0.035217f, 0.037628f, 0.039886f, + 0.042084f, 0.044952f, 0.048126f, 0.051392f, 0.054779f, 0.058197f, 0.062164f, 0.066223f, + 0.070740f, 0.075439f, 0.080566f, 0.086182f, 0.091919f, 0.098145f, 0.104431f, 0.111633f, + 0.119080f, 0.126587f, 0.134888f, 0.143311f, 0.152710f, 0.162109f, 0.171631f, 0.182129f, + 0.192139f, 0.203491f, 0.552246f, 0.591309f, 0.599609f, 0.602539f, 0.604004f, 0.604980f, + 0.000782f, 0.001970f, 0.003082f, 0.003859f, 0.004635f, 0.005611f, 0.006123f, 0.006767f, + 0.007595f, 0.008270f, 0.009140f, 0.009674f, 0.010490f, 0.011040f, 0.011902f, 0.012749f, + 0.013573f, 0.014526f, 0.015656f, 0.016541f, 0.017548f, 0.018631f, 0.019730f, 0.021103f, + 0.022446f, 0.023758f, 0.025162f, 0.026611f, 0.028458f, 0.030441f, 0.032074f, 0.034302f, + 0.036316f, 0.038727f, 0.041138f, 0.044098f, 0.046997f, 0.050232f, 0.053711f, 0.057281f, + 0.061340f, 0.065491f, 0.070435f, 0.075256f, 0.080688f, 0.086426f, 0.092346f, 0.098694f, + 0.105896f, 0.113098f, 0.120911f, 0.129028f, 0.137695f, 0.146606f, 0.155884f, 0.165894f, + 0.175903f, 0.186768f, 0.540527f, 0.582520f, 0.590332f, 0.593750f, 0.594727f, 0.596191f, + 0.000711f, 0.001649f, 0.002529f, 0.003332f, 0.004036f, 0.004799f, 0.005444f, 0.006050f, + 0.006638f, 0.007160f, 0.007771f, 0.008331f, 0.008980f, 0.009644f, 0.010307f, 0.010887f, + 0.011787f, 0.012306f, 0.013176f, 0.014099f, 0.014915f, 0.015839f, 0.016708f, 0.017822f, + 0.019073f, 0.020233f, 0.021423f, 0.022690f, 0.024033f, 0.025589f, 0.027344f, 0.028976f, + 0.030930f, 0.032990f, 0.035156f, 0.037445f, 0.040131f, 0.042847f, 0.045776f, 0.049042f, + 0.052551f, 0.056519f, 0.060486f, 0.064941f, 0.069458f, 0.074951f, 0.080444f, 0.086487f, + 0.092957f, 0.099915f, 0.107361f, 0.114929f, 0.123535f, 0.131714f, 0.140747f, 0.150513f, + 0.160767f, 0.171265f, 0.527832f, 0.572754f, 0.581543f, 0.583496f, 0.586426f, 0.587402f, + 0.000504f, 0.001575f, 0.002235f, 0.003147f, 0.003641f, 0.004150f, 0.004570f, 0.005173f, + 0.005863f, 0.006016f, 0.006462f, 0.007111f, 0.007660f, 0.008156f, 0.008736f, 0.009354f, + 0.010094f, 0.010475f, 0.011253f, 0.011879f, 0.012657f, 0.013603f, 0.014267f, 0.015099f, + 0.016144f, 0.017014f, 0.017990f, 0.019104f, 0.020416f, 0.021652f, 0.022919f, 0.024353f, + 0.025986f, 0.027710f, 0.029602f, 0.031494f, 0.033722f, 0.036102f, 0.038635f, 0.041412f, + 0.044525f, 0.047729f, 0.051636f, 0.055511f, 0.059540f, 0.064331f, 0.069580f, 0.075073f, + 0.080750f, 0.087341f, 0.094116f, 0.101379f, 0.109558f, 0.117676f, 0.126221f, 0.135376f, + 0.145874f, 0.155518f, 0.516113f, 0.562012f, 0.571777f, 0.576172f, 0.578125f, 0.579102f, + 0.000445f, 0.001304f, 0.002201f, 0.002535f, 0.003126f, 0.003664f, 0.004047f, 0.004463f, + 0.004887f, 0.005234f, 0.005711f, 0.005997f, 0.006500f, 0.006901f, 0.007389f, 0.007904f, + 0.008293f, 0.008919f, 0.009499f, 0.009941f, 0.010635f, 0.011269f, 0.011948f, 0.012589f, + 0.013435f, 0.014252f, 0.015091f, 0.016052f, 0.017059f, 0.017960f, 0.019241f, 0.020264f, + 0.021667f, 0.022995f, 0.024628f, 0.026230f, 0.027985f, 0.029984f, 0.032288f, 0.034515f, + 0.037140f, 0.040009f, 0.043152f, 0.046722f, 0.050354f, 0.054504f, 0.059143f, 0.064026f, + 0.069458f, 0.075256f, 0.081726f, 0.088562f, 0.095825f, 0.103516f, 0.112000f, 0.120850f, + 0.130005f, 0.140381f, 0.502441f, 0.551758f, 0.562012f, 0.566406f, 0.568848f, 0.571289f, + 0.000396f, 0.001226f, 0.001812f, 0.002357f, 0.002796f, 0.003094f, 0.003328f, 0.003763f, + 0.003979f, 0.004364f, 0.004642f, 0.005051f, 0.005489f, 0.005745f, 0.006126f, 0.006611f, + 0.007004f, 0.007473f, 0.007771f, 0.008293f, 0.008919f, 0.009392f, 0.009941f, 0.010483f, + 0.011169f, 0.011765f, 0.012436f, 0.013344f, 0.014030f, 0.014908f, 0.015778f, 0.016769f, + 0.017838f, 0.018997f, 0.020279f, 0.021622f, 0.023056f, 0.024704f, 0.026474f, 0.028580f, + 0.030579f, 0.033051f, 0.035706f, 0.038605f, 0.041840f, 0.045380f, 0.049500f, 0.053986f, + 0.058685f, 0.063843f, 0.069885f, 0.076050f, 0.083191f, 0.090576f, 0.098511f, 0.107056f, + 0.115479f, 0.125122f, 0.491211f, 0.541504f, 0.552734f, 0.557617f, 0.560547f, 0.562012f, + 0.000559f, 0.001152f, 0.001668f, 0.001955f, 0.002234f, 0.002550f, 0.002821f, 0.003057f, + 0.003296f, 0.003635f, 0.003948f, 0.004189f, 0.004448f, 0.004761f, 0.005077f, 0.005417f, + 0.005699f, 0.006142f, 0.006458f, 0.006844f, 0.007271f, 0.007717f, 0.008156f, 0.008675f, + 0.009132f, 0.009590f, 0.010277f, 0.010864f, 0.011482f, 0.012131f, 0.012901f, 0.013741f, + 0.014595f, 0.015549f, 0.016525f, 0.017563f, 0.018799f, 0.020111f, 0.021484f, 0.023087f, + 0.024765f, 0.026840f, 0.028992f, 0.031403f, 0.034119f, 0.037323f, 0.040680f, 0.044464f, + 0.048584f, 0.053345f, 0.058838f, 0.064514f, 0.071045f, 0.078247f, 0.085571f, 0.093567f, + 0.101685f, 0.111023f, 0.477539f, 0.531738f, 0.542969f, 0.548340f, 0.552246f, 0.553711f, + 0.000459f, 0.000939f, 0.001184f, 0.001600f, 0.001761f, 0.002144f, 0.002258f, 0.002546f, + 0.002708f, 0.002922f, 0.003157f, 0.003414f, 0.003588f, 0.003918f, 0.004154f, 0.004387f, + 0.004662f, 0.004993f, 0.005249f, 0.005566f, 0.005867f, 0.006252f, 0.006573f, 0.007061f, + 0.007408f, 0.007858f, 0.008270f, 0.008713f, 0.009361f, 0.009911f, 0.010513f, 0.011047f, + 0.011841f, 0.012566f, 0.013252f, 0.014175f, 0.015182f, 0.016220f, 0.017258f, 0.018524f, + 0.019882f, 0.021454f, 0.023132f, 0.025146f, 0.027405f, 0.029877f, 0.032745f, 0.035919f, + 0.039642f, 0.043823f, 0.048492f, 0.053619f, 0.059235f, 0.065735f, 0.072693f, 0.080383f, + 0.088867f, 0.097412f, 0.466309f, 0.520508f, 0.533691f, 0.539062f, 0.542480f, 0.543945f, + 0.000369f, 0.000915f, 0.001124f, 0.001297f, 0.001534f, 0.001741f, 0.001833f, 0.002111f, + 0.002272f, 0.002369f, 0.002516f, 0.002766f, 0.002920f, 0.003162f, 0.003317f, 0.003551f, + 0.003723f, 0.003941f, 0.004211f, 0.004425f, 0.004757f, 0.004993f, 0.005306f, 0.005581f, + 0.005859f, 0.006203f, 0.006592f, 0.007015f, 0.007450f, 0.007828f, 0.008377f, 0.008797f, + 0.009361f, 0.009895f, 0.010582f, 0.011322f, 0.012016f, 0.012772f, 0.013687f, 0.014748f, + 0.015778f, 0.016907f, 0.018326f, 0.019821f, 0.021622f, 0.023483f, 0.025742f, 0.028473f, + 0.031525f, 0.034943f, 0.038910f, 0.043457f, 0.048645f, 0.054749f, 0.061279f, 0.068420f, + 0.076111f, 0.084778f, 0.453613f, 0.510742f, 0.523926f, 0.529785f, 0.533203f, 0.536133f, + 0.000186f, 0.000582f, 0.000925f, 0.001026f, 0.001228f, 0.001351f, 0.001470f, 0.001606f, + 0.001765f, 0.001908f, 0.001999f, 0.002104f, 0.002281f, 0.002476f, 0.002659f, 0.002766f, + 0.002911f, 0.003040f, 0.003344f, 0.003475f, 0.003683f, 0.003922f, 0.004185f, 0.004417f, + 0.004673f, 0.004890f, 0.005123f, 0.005440f, 0.005817f, 0.006126f, 0.006481f, 0.006859f, + 0.007275f, 0.007740f, 0.008202f, 0.008728f, 0.009315f, 0.009972f, 0.010597f, 0.011391f, + 0.012268f, 0.013252f, 0.014221f, 0.015388f, 0.016724f, 0.018265f, 0.020004f, 0.022049f, + 0.024445f, 0.027206f, 0.030762f, 0.034424f, 0.038971f, 0.044220f, 0.050262f, 0.056976f, + 0.064575f, 0.072083f, 0.441650f, 0.500488f, 0.514160f, 0.520020f, 0.524414f, 0.526855f, + 0.000194f, 0.000467f, 0.000775f, 0.000911f, 0.000994f, 0.001081f, 0.001221f, 0.001204f, + 0.001368f, 0.001479f, 0.001582f, 0.001707f, 0.001801f, 0.001921f, 0.001993f, 0.002146f, + 0.002245f, 0.002398f, 0.002531f, 0.002674f, 0.002871f, 0.003033f, 0.003172f, 0.003374f, + 0.003519f, 0.003742f, 0.003963f, 0.004158f, 0.004448f, 0.004650f, 0.005032f, 0.005230f, + 0.005550f, 0.005932f, 0.006241f, 0.006634f, 0.007088f, 0.007572f, 0.008110f, 0.008636f, + 0.009323f, 0.010071f, 0.010834f, 0.011757f, 0.012779f, 0.013863f, 0.015190f, 0.016769f, + 0.018555f, 0.020706f, 0.023331f, 0.026352f, 0.030182f, 0.034760f, 0.040039f, 0.046356f, + 0.053406f, 0.060638f, 0.427979f, 0.489502f, 0.504883f, 0.511719f, 0.515137f, 0.518066f, + 0.000339f, 0.000388f, 0.000559f, 0.000617f, 0.000667f, 0.000795f, 0.000853f, 0.000938f, + 0.000972f, 0.001079f, 0.001217f, 0.001274f, 0.001369f, 0.001480f, 0.001536f, 0.001581f, + 0.001711f, 0.001804f, 0.001900f, 0.002047f, 0.002129f, 0.002245f, 0.002394f, 0.002493f, + 0.002645f, 0.002773f, 0.002974f, 0.003124f, 0.003307f, 0.003559f, 0.003757f, 0.003893f, + 0.004169f, 0.004353f, 0.004684f, 0.004963f, 0.005272f, 0.005615f, 0.005981f, 0.006420f, + 0.006878f, 0.007378f, 0.008080f, 0.008682f, 0.009438f, 0.010239f, 0.011299f, 0.012459f, + 0.013809f, 0.015305f, 0.017212f, 0.019501f, 0.022583f, 0.026245f, 0.030838f, 0.036255f, + 0.042938f, 0.049988f, 0.416504f, 0.479492f, 0.495361f, 0.501465f, 0.505859f, 0.508789f, + 0.000148f, 0.000349f, 0.000414f, 0.000480f, 0.000554f, 0.000575f, 0.000675f, 0.000641f, + 0.000743f, 0.000809f, 0.000882f, 0.000919f, 0.000967f, 0.001019f, 0.001122f, 0.001156f, + 0.001264f, 0.001322f, 0.001392f, 0.001431f, 0.001529f, 0.001625f, 0.001735f, 0.001802f, + 0.001912f, 0.002007f, 0.002131f, 0.002237f, 0.002338f, 0.002525f, 0.002638f, 0.002850f, + 0.002962f, 0.003130f, 0.003347f, 0.003536f, 0.003784f, 0.004063f, 0.004364f, 0.004623f, + 0.004929f, 0.005314f, 0.005714f, 0.006191f, 0.006760f, 0.007385f, 0.008080f, 0.008919f, + 0.009933f, 0.011078f, 0.012390f, 0.014130f, 0.016251f, 0.019012f, 0.022720f, 0.027496f, + 0.033234f, 0.040192f, 0.403320f, 0.468994f, 0.485352f, 0.491943f, 0.497070f, 0.500000f, + 0.000093f, 0.000191f, 0.000299f, 0.000284f, 0.000367f, 0.000453f, 0.000420f, 0.000467f, + 0.000519f, 0.000611f, 0.000607f, 0.000626f, 0.000647f, 0.000722f, 0.000741f, 0.000815f, + 0.000829f, 0.000910f, 0.000967f, 0.001023f, 0.001076f, 0.001138f, 0.001197f, 0.001260f, + 0.001334f, 0.001393f, 0.001490f, 0.001562f, 0.001633f, 0.001772f, 0.001831f, 0.001949f, + 0.002056f, 0.002167f, 0.002312f, 0.002472f, 0.002607f, 0.002781f, 0.002972f, 0.003145f, + 0.003387f, 0.003647f, 0.003941f, 0.004253f, 0.004604f, 0.005051f, 0.005558f, 0.006165f, + 0.006836f, 0.007660f, 0.008652f, 0.009796f, 0.011284f, 0.013260f, 0.015945f, 0.019608f, + 0.024734f, 0.031082f, 0.390625f, 0.459229f, 0.475586f, 0.482910f, 0.488037f, 0.490723f, + 0.000132f, 0.000208f, 0.000217f, 0.000221f, 0.000267f, 0.000272f, 0.000277f, 0.000320f, + 0.000356f, 0.000372f, 0.000372f, 0.000446f, 0.000436f, 0.000487f, 0.000514f, 0.000531f, + 0.000587f, 0.000601f, 0.000629f, 0.000658f, 0.000707f, 0.000736f, 0.000784f, 0.000816f, + 0.000880f, 0.000909f, 0.000978f, 0.001035f, 0.001084f, 0.001135f, 0.001200f, 0.001278f, + 0.001357f, 0.001429f, 0.001516f, 0.001588f, 0.001724f, 0.001802f, 0.001949f, 0.002085f, + 0.002230f, 0.002373f, 0.002554f, 0.002743f, 0.003000f, 0.003300f, 0.003611f, 0.003963f, + 0.004425f, 0.004967f, 0.005630f, 0.006424f, 0.007462f, 0.008812f, 0.010551f, 0.013184f, + 0.017258f, 0.022980f, 0.377686f, 0.448242f, 0.465820f, 0.474121f, 0.478760f, 0.481934f, + 0.000041f, 0.000149f, 0.000126f, 0.000128f, 0.000158f, 0.000196f, 0.000174f, 0.000206f, + 0.000216f, 0.000223f, 0.000231f, 0.000244f, 0.000276f, 0.000291f, 0.000312f, 0.000326f, + 0.000338f, 0.000374f, 0.000387f, 0.000423f, 0.000430f, 0.000447f, 0.000471f, 0.000509f, + 0.000538f, 0.000583f, 0.000591f, 0.000613f, 0.000659f, 0.000688f, 0.000743f, 0.000779f, + 0.000833f, 0.000865f, 0.000924f, 0.000966f, 0.001033f, 0.001106f, 0.001186f, 0.001245f, + 0.001336f, 0.001453f, 0.001559f, 0.001685f, 0.001807f, 0.001980f, 0.002207f, 0.002417f, + 0.002689f, 0.003027f, 0.003418f, 0.003933f, 0.004604f, 0.005482f, 0.006641f, 0.008263f, + 0.011017f, 0.015778f, 0.364746f, 0.437256f, 0.456055f, 0.463623f, 0.469238f, 0.472656f, + 0.000100f, 0.000089f, 0.000085f, 0.000081f, 0.000101f, 0.000096f, 0.000116f, 0.000116f, + 0.000119f, 0.000126f, 0.000141f, 0.000157f, 0.000149f, 0.000158f, 0.000179f, 0.000176f, + 0.000195f, 0.000206f, 0.000216f, 0.000222f, 0.000240f, 0.000246f, 0.000269f, 0.000279f, + 0.000303f, 0.000320f, 0.000333f, 0.000345f, 0.000365f, 0.000379f, 0.000409f, 0.000434f, + 0.000453f, 0.000477f, 0.000511f, 0.000541f, 0.000569f, 0.000608f, 0.000656f, 0.000689f, + 0.000738f, 0.000795f, 0.000867f, 0.000918f, 0.001005f, 0.001087f, 0.001189f, 0.001312f, + 0.001465f, 0.001656f, 0.001873f, 0.002171f, 0.002546f, 0.003056f, 0.003767f, 0.004765f, + 0.006390f, 0.009811f, 0.353516f, 0.426758f, 0.446045f, 0.455078f, 0.459717f, 0.464111f, + 0.000084f, 0.000059f, 0.000050f, 0.000049f, 0.000049f, 0.000047f, 0.000052f, 0.000058f, + 0.000061f, 0.000075f, 0.000065f, 0.000066f, 0.000080f, 0.000071f, 0.000076f, 0.000082f, + 0.000092f, 0.000102f, 0.000100f, 0.000105f, 0.000110f, 0.000115f, 0.000121f, 0.000133f, + 0.000140f, 0.000146f, 0.000152f, 0.000164f, 0.000177f, 0.000185f, 0.000192f, 0.000202f, + 0.000213f, 0.000224f, 0.000241f, 0.000252f, 0.000268f, 0.000283f, 0.000310f, 0.000328f, + 0.000348f, 0.000374f, 0.000406f, 0.000431f, 0.000470f, 0.000515f, 0.000560f, 0.000614f, + 0.000688f, 0.000771f, 0.000884f, 0.001019f, 0.001202f, 0.001466f, 0.001827f, 0.002369f, + 0.003269f, 0.005184f, 0.341797f, 0.416016f, 0.435791f, 0.445557f, 0.450928f, 0.455078f, + 0.000062f, 0.000042f, 0.000035f, 0.000030f, 0.000028f, 0.000026f, 0.000024f, 0.000023f, + 0.000023f, 0.000023f, 0.000023f, 0.000030f, 0.000024f, 0.000024f, 0.000031f, 0.000034f, + 0.000035f, 0.000037f, 0.000039f, 0.000040f, 0.000043f, 0.000048f, 0.000050f, 0.000046f, + 0.000051f, 0.000057f, 0.000059f, 0.000058f, 0.000063f, 0.000068f, 0.000070f, 0.000077f, + 0.000082f, 0.000082f, 0.000086f, 0.000093f, 0.000100f, 0.000106f, 0.000114f, 0.000120f, + 0.000131f, 0.000136f, 0.000145f, 0.000161f, 0.000171f, 0.000186f, 0.000204f, 0.000222f, + 0.000251f, 0.000281f, 0.000318f, 0.000364f, 0.000430f, 0.000530f, 0.000672f, 0.000902f, + 0.001316f, 0.002153f, 0.329346f, 0.406006f, 0.426758f, 0.436035f, 0.441650f, 0.445801f, + 0.000031f, 0.000020f, 0.000016f, 0.000014f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, + 0.000011f, 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, + 0.000008f, 0.000008f, 0.000007f, 0.000007f, 0.000007f, 0.000008f, 0.000009f, 0.000010f, + 0.000011f, 0.000012f, 0.000012f, 0.000014f, 0.000014f, 0.000013f, 0.000015f, 0.000016f, + 0.000018f, 0.000019f, 0.000019f, 0.000020f, 0.000023f, 0.000023f, 0.000025f, 0.000027f, + 0.000028f, 0.000031f, 0.000034f, 0.000034f, 0.000037f, 0.000041f, 0.000045f, 0.000049f, + 0.000053f, 0.000059f, 0.000066f, 0.000079f, 0.000093f, 0.000112f, 0.000144f, 0.000196f, + 0.000307f, 0.000598f, 0.317383f, 0.394531f, 0.416504f, 0.425781f, 0.432129f, 0.436279f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000007f, + 0.000010f, 0.000026f, 0.305420f, 0.384277f, 0.405762f, 0.416504f, 0.423340f, 0.427246f, + }, + { + 0.009338f, 0.028412f, 0.047394f, 0.066895f, 0.086548f, 0.105774f, 0.125854f, 0.145142f, + 0.165039f, 0.184570f, 0.204712f, 0.223389f, 0.243164f, 0.261719f, 0.280762f, 0.299805f, + 0.318848f, 0.338135f, 0.356445f, 0.374512f, 0.393066f, 0.412354f, 0.429932f, 0.447510f, + 0.465576f, 0.483887f, 0.501465f, 0.518555f, 0.536133f, 0.553711f, 0.570312f, 0.587402f, + 0.604492f, 0.621094f, 0.637695f, 0.653809f, 0.670898f, 0.687012f, 0.702637f, 0.719238f, + 0.734863f, 0.750488f, 0.765137f, 0.780762f, 0.795898f, 0.811523f, 0.825684f, 0.840820f, + 0.855469f, 0.870605f, 0.884277f, 0.899414f, 0.913086f, 0.926758f, 0.940918f, 0.955078f, + 0.967773f, 0.981934f, 0.966797f, 0.923828f, 0.894531f, 0.870605f, 0.850586f, 0.832520f, + 0.008652f, 0.026825f, 0.045380f, 0.063965f, 0.082703f, 0.101807f, 0.120544f, 0.139282f, + 0.158569f, 0.177246f, 0.196167f, 0.214722f, 0.233521f, 0.252197f, 0.270508f, 0.289062f, + 0.307861f, 0.325928f, 0.343994f, 0.361328f, 0.380615f, 0.397705f, 0.415771f, 0.433594f, + 0.450928f, 0.469238f, 0.485596f, 0.502930f, 0.520020f, 0.537598f, 0.553223f, 0.570801f, + 0.586914f, 0.603516f, 0.620117f, 0.636719f, 0.652832f, 0.668945f, 0.683594f, 0.700684f, + 0.716309f, 0.731934f, 0.746582f, 0.762695f, 0.777344f, 0.792480f, 0.807617f, 0.821777f, + 0.836914f, 0.850586f, 0.865723f, 0.880371f, 0.894043f, 0.908691f, 0.921875f, 0.937012f, + 0.950195f, 0.963867f, 0.958496f, 0.917969f, 0.889648f, 0.867188f, 0.847656f, 0.830566f, + 0.008293f, 0.025620f, 0.042999f, 0.061035f, 0.079163f, 0.097656f, 0.115112f, 0.132812f, + 0.151367f, 0.170532f, 0.188599f, 0.206787f, 0.223999f, 0.242920f, 0.259766f, 0.278809f, + 0.296143f, 0.313232f, 0.331055f, 0.349609f, 0.367432f, 0.385010f, 0.401611f, 0.418945f, + 0.435791f, 0.453369f, 0.469727f, 0.487061f, 0.503906f, 0.520508f, 0.537598f, 0.553223f, + 0.569824f, 0.586426f, 0.603027f, 0.619141f, 0.634277f, 0.650879f, 0.666504f, 0.682129f, + 0.697754f, 0.713379f, 0.729004f, 0.743164f, 0.758301f, 0.773926f, 0.789062f, 0.803711f, + 0.818359f, 0.833008f, 0.847168f, 0.862305f, 0.875488f, 0.890137f, 0.903809f, 0.917480f, + 0.931152f, 0.945801f, 0.950195f, 0.911133f, 0.884766f, 0.862793f, 0.844238f, 0.828125f, + 0.008148f, 0.024506f, 0.041016f, 0.058289f, 0.075256f, 0.092712f, 0.109802f, 0.127319f, + 0.145020f, 0.162964f, 0.180298f, 0.198120f, 0.215454f, 0.232300f, 0.250244f, 0.267822f, + 0.285400f, 0.302734f, 0.318848f, 0.335693f, 0.354004f, 0.371582f, 0.388672f, 0.405029f, + 0.421143f, 0.438965f, 0.455078f, 0.472168f, 0.487549f, 0.503906f, 0.521484f, 0.537598f, + 0.551758f, 0.568359f, 0.584961f, 0.601562f, 0.616211f, 0.633301f, 0.648926f, 0.664062f, + 0.679199f, 0.694824f, 0.709473f, 0.725098f, 0.740234f, 0.755371f, 0.770020f, 0.785156f, + 0.799805f, 0.813965f, 0.828125f, 0.842773f, 0.856934f, 0.871582f, 0.884766f, 0.898926f, + 0.912598f, 0.926270f, 0.941895f, 0.905273f, 0.879883f, 0.858887f, 0.840332f, 0.824707f, + 0.007523f, 0.023010f, 0.039246f, 0.055542f, 0.072021f, 0.088257f, 0.105347f, 0.122070f, + 0.138306f, 0.155273f, 0.172852f, 0.189575f, 0.206421f, 0.223145f, 0.240112f, 0.256592f, + 0.274170f, 0.291260f, 0.307617f, 0.323730f, 0.340576f, 0.358154f, 0.374023f, 0.390137f, + 0.406738f, 0.422852f, 0.440430f, 0.456543f, 0.472656f, 0.489014f, 0.504395f, 0.520996f, + 0.537109f, 0.552734f, 0.568848f, 0.584473f, 0.599121f, 0.615234f, 0.630859f, 0.645020f, + 0.660645f, 0.677246f, 0.690918f, 0.706055f, 0.721680f, 0.736328f, 0.750977f, 0.766113f, + 0.780273f, 0.794922f, 0.809570f, 0.823730f, 0.837891f, 0.852539f, 0.866211f, 0.880371f, + 0.894531f, 0.908691f, 0.933105f, 0.898438f, 0.874023f, 0.853516f, 0.836426f, 0.821289f, + 0.007339f, 0.021912f, 0.037170f, 0.052948f, 0.068665f, 0.084412f, 0.100281f, 0.116333f, + 0.133057f, 0.149048f, 0.164795f, 0.181274f, 0.198242f, 0.214233f, 0.230835f, 0.247314f, + 0.262939f, 0.279053f, 0.295898f, 0.312500f, 0.328613f, 0.344971f, 0.360107f, 0.376953f, + 0.392578f, 0.408691f, 0.425293f, 0.441406f, 0.456787f, 0.472656f, 0.488525f, 0.504883f, + 0.520020f, 0.535156f, 0.550781f, 0.567383f, 0.582520f, 0.597656f, 0.612793f, 0.628418f, + 0.642578f, 0.657715f, 0.673340f, 0.688477f, 0.702637f, 0.718750f, 0.731445f, 0.748047f, + 0.762207f, 0.775879f, 0.791016f, 0.804199f, 0.818848f, 0.833008f, 0.847656f, 0.861328f, + 0.875000f, 0.890625f, 0.924316f, 0.891602f, 0.868164f, 0.849121f, 0.832520f, 0.817871f, + 0.006817f, 0.021133f, 0.035675f, 0.050018f, 0.065186f, 0.080505f, 0.096069f, 0.111389f, + 0.126831f, 0.142456f, 0.158203f, 0.174194f, 0.189819f, 0.205444f, 0.220703f, 0.237183f, + 0.253174f, 0.268555f, 0.284668f, 0.300049f, 0.316406f, 0.332275f, 0.347656f, 0.363281f, + 0.379395f, 0.394775f, 0.409668f, 0.426270f, 0.442139f, 0.457275f, 0.472656f, 0.488037f, + 0.503906f, 0.518555f, 0.534668f, 0.548828f, 0.564941f, 0.579590f, 0.595215f, 0.610352f, + 0.625000f, 0.640137f, 0.654785f, 0.669434f, 0.685059f, 0.699707f, 0.713379f, 0.728027f, + 0.742676f, 0.758301f, 0.770996f, 0.786621f, 0.799316f, 0.813965f, 0.828613f, 0.842285f, + 0.856445f, 0.871094f, 0.915527f, 0.884766f, 0.862305f, 0.843750f, 0.827637f, 0.813965f, + 0.006611f, 0.020111f, 0.033752f, 0.047974f, 0.062378f, 0.076843f, 0.091431f, 0.106262f, + 0.120911f, 0.136230f, 0.151123f, 0.166382f, 0.181396f, 0.196899f, 0.211670f, 0.227295f, + 0.242554f, 0.257812f, 0.272705f, 0.288086f, 0.304199f, 0.318848f, 0.334473f, 0.349609f, + 0.365967f, 0.379883f, 0.395996f, 0.410889f, 0.426270f, 0.441895f, 0.457764f, 0.472412f, + 0.487061f, 0.502930f, 0.517090f, 0.532227f, 0.547363f, 0.563477f, 0.577637f, 0.592285f, + 0.606934f, 0.621582f, 0.636230f, 0.651367f, 0.665039f, 0.679688f, 0.694336f, 0.709473f, + 0.724121f, 0.738770f, 0.752930f, 0.767578f, 0.780762f, 0.795410f, 0.809082f, 0.823242f, + 0.837891f, 0.852539f, 0.906250f, 0.877441f, 0.855957f, 0.838379f, 0.823242f, 0.809570f, + 0.006153f, 0.019150f, 0.031952f, 0.045624f, 0.059326f, 0.073303f, 0.087158f, 0.101562f, + 0.115540f, 0.129395f, 0.144653f, 0.159180f, 0.173584f, 0.187866f, 0.203613f, 0.217651f, + 0.232300f, 0.247559f, 0.262207f, 0.277344f, 0.292969f, 0.307617f, 0.322021f, 0.336914f, + 0.352051f, 0.367188f, 0.381592f, 0.396729f, 0.411377f, 0.427002f, 0.440918f, 0.456787f, + 0.471436f, 0.486572f, 0.500977f, 0.514648f, 0.530273f, 0.545410f, 0.560059f, 0.574219f, + 0.589355f, 0.604004f, 0.618164f, 0.632324f, 0.647461f, 0.661133f, 0.676270f, 0.691406f, + 0.705078f, 0.719727f, 0.733887f, 0.748047f, 0.763184f, 0.777344f, 0.791016f, 0.805176f, + 0.819336f, 0.833496f, 0.896973f, 0.870117f, 0.849609f, 0.833008f, 0.818359f, 0.805176f, + 0.005947f, 0.018311f, 0.030731f, 0.043243f, 0.056732f, 0.069580f, 0.083435f, 0.096558f, + 0.110474f, 0.123962f, 0.137695f, 0.152100f, 0.166016f, 0.180054f, 0.194092f, 0.208862f, + 0.222656f, 0.236816f, 0.251465f, 0.266113f, 0.281250f, 0.294922f, 0.309814f, 0.324219f, + 0.338623f, 0.352783f, 0.368164f, 0.382568f, 0.397461f, 0.411377f, 0.426025f, 0.441162f, + 0.455078f, 0.469971f, 0.484131f, 0.499268f, 0.513672f, 0.528320f, 0.542969f, 0.557129f, + 0.571289f, 0.585449f, 0.599609f, 0.614258f, 0.628418f, 0.643066f, 0.657227f, 0.671875f, + 0.686523f, 0.700195f, 0.714355f, 0.729004f, 0.743164f, 0.756836f, 0.770996f, 0.785645f, + 0.800293f, 0.814453f, 0.888184f, 0.862305f, 0.843262f, 0.827148f, 0.813477f, 0.800781f, + 0.005646f, 0.017136f, 0.029388f, 0.041534f, 0.053802f, 0.066162f, 0.078979f, 0.092285f, + 0.104980f, 0.118408f, 0.130981f, 0.144897f, 0.158203f, 0.172363f, 0.185547f, 0.199951f, + 0.213501f, 0.226440f, 0.240356f, 0.254883f, 0.269287f, 0.283691f, 0.297607f, 0.311279f, + 0.325439f, 0.339600f, 0.353760f, 0.368408f, 0.382812f, 0.396973f, 0.410645f, 0.425049f, + 0.439697f, 0.454102f, 0.468262f, 0.482178f, 0.496094f, 0.510742f, 0.524902f, 0.539551f, + 0.554199f, 0.568359f, 0.582031f, 0.596191f, 0.610352f, 0.624023f, 0.639160f, 0.652832f, + 0.667969f, 0.681152f, 0.696289f, 0.709961f, 0.723633f, 0.738770f, 0.752441f, 0.765625f, + 0.780273f, 0.794922f, 0.878418f, 0.855469f, 0.836914f, 0.821289f, 0.808105f, 0.796387f, + 0.005478f, 0.016174f, 0.027740f, 0.038849f, 0.051270f, 0.063293f, 0.075317f, 0.087402f, + 0.099854f, 0.112793f, 0.125366f, 0.138184f, 0.151001f, 0.164307f, 0.177734f, 0.190918f, + 0.204102f, 0.217529f, 0.231079f, 0.244141f, 0.257324f, 0.271240f, 0.284668f, 0.299072f, + 0.312744f, 0.326660f, 0.339600f, 0.354004f, 0.368408f, 0.382324f, 0.395264f, 0.410156f, + 0.423096f, 0.437500f, 0.452148f, 0.465332f, 0.480469f, 0.493408f, 0.507812f, 0.521484f, + 0.535645f, 0.549316f, 0.563477f, 0.578125f, 0.592285f, 0.605957f, 0.620605f, 0.634766f, + 0.647949f, 0.662109f, 0.676758f, 0.691406f, 0.705078f, 0.718750f, 0.732910f, 0.747559f, + 0.762207f, 0.777344f, 0.869141f, 0.847656f, 0.830078f, 0.815430f, 0.802734f, 0.791504f, + 0.005005f, 0.015762f, 0.026657f, 0.037384f, 0.048218f, 0.059998f, 0.071594f, 0.083618f, + 0.095215f, 0.107666f, 0.119141f, 0.131958f, 0.144043f, 0.156128f, 0.169800f, 0.182129f, + 0.194824f, 0.207031f, 0.219849f, 0.233032f, 0.247559f, 0.260010f, 0.272949f, 0.286133f, + 0.300293f, 0.313477f, 0.326172f, 0.339844f, 0.353516f, 0.367188f, 0.381592f, 0.394531f, + 0.407959f, 0.422363f, 0.436279f, 0.449463f, 0.462891f, 0.477539f, 0.490723f, 0.504395f, + 0.518066f, 0.532227f, 0.545898f, 0.560059f, 0.574219f, 0.586914f, 0.602051f, 0.616211f, + 0.629395f, 0.644531f, 0.657227f, 0.671875f, 0.685547f, 0.699707f, 0.713867f, 0.728516f, + 0.742676f, 0.756836f, 0.859375f, 0.840332f, 0.823730f, 0.809082f, 0.797363f, 0.786621f, + 0.004894f, 0.014786f, 0.025269f, 0.035614f, 0.045990f, 0.057129f, 0.068420f, 0.079224f, + 0.090698f, 0.102112f, 0.113708f, 0.125610f, 0.137817f, 0.149536f, 0.161377f, 0.174316f, + 0.185791f, 0.198486f, 0.211670f, 0.223389f, 0.236816f, 0.249512f, 0.261230f, 0.274414f, + 0.287598f, 0.300537f, 0.313232f, 0.326904f, 0.340576f, 0.353027f, 0.366211f, 0.379883f, + 0.393066f, 0.406006f, 0.419678f, 0.433350f, 0.446289f, 0.460205f, 0.473633f, 0.487305f, + 0.500977f, 0.515137f, 0.528320f, 0.542480f, 0.554688f, 0.569824f, 0.583008f, 0.597656f, + 0.610840f, 0.625488f, 0.638672f, 0.652832f, 0.666504f, 0.681152f, 0.694824f, 0.708984f, + 0.723145f, 0.737793f, 0.850098f, 0.833008f, 0.817383f, 0.802734f, 0.791992f, 0.780762f, + 0.004536f, 0.014160f, 0.023972f, 0.033630f, 0.043823f, 0.053955f, 0.064697f, 0.075195f, + 0.086365f, 0.096802f, 0.108276f, 0.119751f, 0.130493f, 0.142212f, 0.153687f, 0.165405f, + 0.177246f, 0.189331f, 0.201538f, 0.213501f, 0.225464f, 0.237915f, 0.250244f, 0.262939f, + 0.274902f, 0.288086f, 0.300781f, 0.312988f, 0.326172f, 0.339600f, 0.352051f, 0.365479f, + 0.377930f, 0.390625f, 0.403564f, 0.417480f, 0.430420f, 0.444092f, 0.457520f, 0.470215f, + 0.483643f, 0.497559f, 0.510742f, 0.524414f, 0.537598f, 0.551270f, 0.564941f, 0.579102f, + 0.592285f, 0.605957f, 0.619629f, 0.633789f, 0.647949f, 0.661621f, 0.675293f, 0.689453f, + 0.704102f, 0.718262f, 0.840332f, 0.825195f, 0.809570f, 0.797363f, 0.786133f, 0.776367f, + 0.004433f, 0.013138f, 0.022720f, 0.032013f, 0.041199f, 0.051147f, 0.061462f, 0.071716f, + 0.082336f, 0.091919f, 0.102722f, 0.113586f, 0.124390f, 0.135010f, 0.145996f, 0.157837f, + 0.168823f, 0.180054f, 0.192383f, 0.203491f, 0.215332f, 0.227417f, 0.239502f, 0.251221f, + 0.263672f, 0.275635f, 0.287842f, 0.300537f, 0.312500f, 0.324707f, 0.338135f, 0.350342f, + 0.363037f, 0.375977f, 0.388672f, 0.401611f, 0.413818f, 0.427246f, 0.440186f, 0.453613f, + 0.466064f, 0.479736f, 0.492920f, 0.506836f, 0.519531f, 0.533203f, 0.546875f, 0.560059f, + 0.573242f, 0.587402f, 0.600098f, 0.614746f, 0.628418f, 0.642578f, 0.657227f, 0.670898f, + 0.685059f, 0.699707f, 0.830566f, 0.816406f, 0.802734f, 0.791016f, 0.780273f, 0.770996f, + 0.004372f, 0.012619f, 0.021393f, 0.030350f, 0.039276f, 0.048523f, 0.058289f, 0.067505f, + 0.077393f, 0.087585f, 0.097290f, 0.107727f, 0.118225f, 0.128296f, 0.138550f, 0.149414f, + 0.160278f, 0.171631f, 0.182739f, 0.193359f, 0.205200f, 0.216187f, 0.228027f, 0.240234f, + 0.251465f, 0.263428f, 0.275146f, 0.287598f, 0.298828f, 0.311523f, 0.323242f, 0.336182f, + 0.348633f, 0.360107f, 0.372803f, 0.385986f, 0.398682f, 0.411621f, 0.424072f, 0.436523f, + 0.449951f, 0.462891f, 0.475098f, 0.488525f, 0.501953f, 0.514648f, 0.527344f, 0.541992f, + 0.555176f, 0.569336f, 0.582031f, 0.596191f, 0.609863f, 0.623047f, 0.637695f, 0.651855f, + 0.665527f, 0.679688f, 0.821289f, 0.808105f, 0.795410f, 0.784180f, 0.774902f, 0.765137f, + 0.003937f, 0.012169f, 0.020477f, 0.028641f, 0.037781f, 0.046448f, 0.055481f, 0.064209f, + 0.073181f, 0.082458f, 0.092651f, 0.101990f, 0.111572f, 0.121948f, 0.132202f, 0.142212f, + 0.151978f, 0.162720f, 0.173340f, 0.184326f, 0.195312f, 0.206055f, 0.217163f, 0.228516f, + 0.239990f, 0.250977f, 0.262695f, 0.274658f, 0.285889f, 0.297363f, 0.308838f, 0.321045f, + 0.333496f, 0.345459f, 0.357422f, 0.370117f, 0.382324f, 0.395020f, 0.407227f, 0.419922f, + 0.432617f, 0.444336f, 0.458008f, 0.470703f, 0.483398f, 0.497559f, 0.510254f, 0.522949f, + 0.536133f, 0.550293f, 0.562988f, 0.577637f, 0.590820f, 0.603516f, 0.618164f, 0.632324f, + 0.645508f, 0.660645f, 0.811035f, 0.800293f, 0.788086f, 0.777832f, 0.768555f, 0.760254f, + 0.003868f, 0.011368f, 0.019257f, 0.027512f, 0.035431f, 0.043274f, 0.051880f, 0.060852f, + 0.069214f, 0.078003f, 0.087524f, 0.096924f, 0.105896f, 0.115112f, 0.124817f, 0.134766f, + 0.144409f, 0.154663f, 0.164673f, 0.175415f, 0.184814f, 0.196289f, 0.206299f, 0.216797f, + 0.228394f, 0.239380f, 0.250244f, 0.260986f, 0.273193f, 0.284424f, 0.295410f, 0.307373f, + 0.319092f, 0.331299f, 0.342285f, 0.354248f, 0.366455f, 0.378662f, 0.390869f, 0.403809f, + 0.415771f, 0.427734f, 0.440430f, 0.453369f, 0.466309f, 0.479736f, 0.492188f, 0.504883f, + 0.518066f, 0.531250f, 0.544922f, 0.558105f, 0.571777f, 0.584473f, 0.598633f, 0.612305f, + 0.626465f, 0.641602f, 0.801758f, 0.792480f, 0.781738f, 0.770508f, 0.761230f, 0.753906f, + 0.003616f, 0.010872f, 0.018387f, 0.026077f, 0.033875f, 0.041351f, 0.049591f, 0.057434f, + 0.065674f, 0.073669f, 0.082153f, 0.091064f, 0.100098f, 0.109009f, 0.117981f, 0.127563f, + 0.137207f, 0.146362f, 0.156494f, 0.165894f, 0.176025f, 0.186157f, 0.196655f, 0.206421f, + 0.216919f, 0.227539f, 0.237915f, 0.249268f, 0.260254f, 0.270752f, 0.282471f, 0.293945f, + 0.305176f, 0.316406f, 0.328125f, 0.338867f, 0.350342f, 0.361816f, 0.375244f, 0.387207f, + 0.398926f, 0.411133f, 0.423584f, 0.436523f, 0.448730f, 0.461182f, 0.474121f, 0.485840f, + 0.499756f, 0.513672f, 0.525391f, 0.539062f, 0.552734f, 0.565918f, 0.580566f, 0.593750f, + 0.608398f, 0.621094f, 0.790527f, 0.783691f, 0.773926f, 0.764160f, 0.755859f, 0.747559f, + 0.003450f, 0.010429f, 0.017487f, 0.024445f, 0.031860f, 0.039581f, 0.046631f, 0.054718f, + 0.061951f, 0.070251f, 0.078003f, 0.086121f, 0.094910f, 0.102905f, 0.111572f, 0.120300f, + 0.129761f, 0.138428f, 0.147217f, 0.156982f, 0.166992f, 0.176147f, 0.186157f, 0.196045f, + 0.206299f, 0.216187f, 0.226318f, 0.236938f, 0.247437f, 0.258301f, 0.268311f, 0.279785f, + 0.290527f, 0.301758f, 0.312744f, 0.324219f, 0.335449f, 0.346680f, 0.359131f, 0.370605f, + 0.382812f, 0.394531f, 0.406982f, 0.419189f, 0.430908f, 0.443604f, 0.456055f, 0.468506f, + 0.481445f, 0.494873f, 0.506836f, 0.520996f, 0.534180f, 0.547363f, 0.561035f, 0.573730f, + 0.588379f, 0.601074f, 0.780762f, 0.775879f, 0.766602f, 0.757324f, 0.748535f, 0.741699f, + 0.003281f, 0.009811f, 0.016174f, 0.023438f, 0.030060f, 0.037109f, 0.044464f, 0.051239f, + 0.058441f, 0.066345f, 0.073792f, 0.081238f, 0.089539f, 0.097229f, 0.105286f, 0.113647f, + 0.122498f, 0.130615f, 0.139526f, 0.148438f, 0.157837f, 0.166626f, 0.176636f, 0.185547f, + 0.195312f, 0.204956f, 0.215088f, 0.224976f, 0.234863f, 0.245239f, 0.255859f, 0.266113f, + 0.276367f, 0.287354f, 0.298096f, 0.309326f, 0.320801f, 0.331787f, 0.343018f, 0.355225f, + 0.366211f, 0.378418f, 0.389893f, 0.401611f, 0.413574f, 0.425781f, 0.438721f, 0.451416f, + 0.463135f, 0.476074f, 0.489014f, 0.501465f, 0.514648f, 0.528809f, 0.541992f, 0.554688f, + 0.568848f, 0.582520f, 0.770508f, 0.767090f, 0.758789f, 0.750488f, 0.743164f, 0.735352f, + 0.002901f, 0.009422f, 0.015488f, 0.021729f, 0.028290f, 0.035278f, 0.041321f, 0.048523f, + 0.055420f, 0.062195f, 0.069336f, 0.076477f, 0.084412f, 0.091858f, 0.099609f, 0.107361f, + 0.115112f, 0.123535f, 0.131592f, 0.140137f, 0.148438f, 0.157715f, 0.166382f, 0.174927f, + 0.184692f, 0.193970f, 0.203369f, 0.212646f, 0.222656f, 0.232910f, 0.242920f, 0.252197f, + 0.263184f, 0.273438f, 0.284180f, 0.294922f, 0.305664f, 0.316895f, 0.327881f, 0.338867f, + 0.349854f, 0.361328f, 0.373291f, 0.385254f, 0.397461f, 0.408691f, 0.420898f, 0.433350f, + 0.445801f, 0.458252f, 0.470703f, 0.483154f, 0.496826f, 0.510254f, 0.522461f, 0.535645f, + 0.549805f, 0.562988f, 0.760742f, 0.758789f, 0.750488f, 0.743652f, 0.736328f, 0.729492f, + 0.002861f, 0.008606f, 0.014488f, 0.021057f, 0.026810f, 0.032898f, 0.038879f, 0.045532f, + 0.051666f, 0.058319f, 0.065125f, 0.072449f, 0.079224f, 0.086426f, 0.093689f, 0.100830f, + 0.108276f, 0.116089f, 0.123962f, 0.131958f, 0.140625f, 0.148560f, 0.156494f, 0.164795f, + 0.174194f, 0.183228f, 0.192017f, 0.201294f, 0.210815f, 0.220093f, 0.229858f, 0.239746f, + 0.249390f, 0.260010f, 0.270508f, 0.280518f, 0.290771f, 0.301758f, 0.312744f, 0.323486f, + 0.334473f, 0.345215f, 0.356934f, 0.368408f, 0.379883f, 0.391846f, 0.403564f, 0.416016f, + 0.427490f, 0.439453f, 0.452881f, 0.465332f, 0.478271f, 0.490234f, 0.503906f, 0.517090f, + 0.529785f, 0.543945f, 0.750000f, 0.750000f, 0.743164f, 0.736328f, 0.729492f, 0.723145f, + 0.002977f, 0.008492f, 0.013931f, 0.019745f, 0.024948f, 0.030991f, 0.036804f, 0.042755f, + 0.048889f, 0.055267f, 0.061737f, 0.067932f, 0.074829f, 0.081116f, 0.087646f, 0.095215f, + 0.102356f, 0.109436f, 0.116760f, 0.124023f, 0.131714f, 0.139648f, 0.147461f, 0.155762f, + 0.164185f, 0.172485f, 0.181152f, 0.189697f, 0.198730f, 0.208130f, 0.217285f, 0.226685f, + 0.236572f, 0.245850f, 0.255859f, 0.265869f, 0.276367f, 0.286377f, 0.297607f, 0.307861f, + 0.318359f, 0.329102f, 0.340576f, 0.351807f, 0.363281f, 0.374023f, 0.386230f, 0.397949f, + 0.409668f, 0.422119f, 0.434082f, 0.446777f, 0.459229f, 0.471924f, 0.484863f, 0.497803f, + 0.511230f, 0.525391f, 0.739746f, 0.741211f, 0.735352f, 0.729004f, 0.722656f, 0.717285f, + 0.002441f, 0.007896f, 0.013443f, 0.018402f, 0.023911f, 0.029343f, 0.034454f, 0.040375f, + 0.045868f, 0.051453f, 0.057800f, 0.063721f, 0.070068f, 0.075928f, 0.082520f, 0.089233f, + 0.095703f, 0.102478f, 0.109314f, 0.116638f, 0.123596f, 0.131348f, 0.138550f, 0.145996f, + 0.153809f, 0.162109f, 0.170044f, 0.179199f, 0.187866f, 0.196045f, 0.205078f, 0.213745f, + 0.223389f, 0.233032f, 0.242554f, 0.252197f, 0.261963f, 0.271973f, 0.281982f, 0.292236f, + 0.303223f, 0.312988f, 0.324463f, 0.335693f, 0.346191f, 0.357910f, 0.368652f, 0.380371f, + 0.391846f, 0.404541f, 0.415527f, 0.428467f, 0.440674f, 0.453369f, 0.466553f, 0.479248f, + 0.491455f, 0.505371f, 0.729492f, 0.732422f, 0.727539f, 0.721191f, 0.716309f, 0.709961f, + 0.002457f, 0.007553f, 0.012489f, 0.017548f, 0.022217f, 0.027405f, 0.032471f, 0.037689f, + 0.043060f, 0.048553f, 0.054230f, 0.059631f, 0.065369f, 0.071533f, 0.077393f, 0.083069f, + 0.089417f, 0.096069f, 0.102356f, 0.108398f, 0.115417f, 0.122925f, 0.130127f, 0.137451f, + 0.144531f, 0.152100f, 0.160156f, 0.168091f, 0.176514f, 0.184570f, 0.192871f, 0.201660f, + 0.210571f, 0.219238f, 0.229126f, 0.238281f, 0.248413f, 0.257812f, 0.267578f, 0.277588f, + 0.287354f, 0.298096f, 0.308594f, 0.319336f, 0.329590f, 0.340820f, 0.351318f, 0.363770f, + 0.375732f, 0.386963f, 0.397949f, 0.409912f, 0.422363f, 0.434326f, 0.446533f, 0.459473f, + 0.473145f, 0.486084f, 0.718750f, 0.723633f, 0.719727f, 0.713867f, 0.708984f, 0.703613f, + 0.002436f, 0.006939f, 0.011612f, 0.016113f, 0.021072f, 0.025497f, 0.030640f, 0.035339f, + 0.040222f, 0.045441f, 0.050690f, 0.055725f, 0.060669f, 0.066589f, 0.072144f, 0.077881f, + 0.083740f, 0.089294f, 0.095215f, 0.101501f, 0.108032f, 0.114868f, 0.121643f, 0.128052f, + 0.135010f, 0.142334f, 0.150024f, 0.157349f, 0.164917f, 0.173340f, 0.181274f, 0.189697f, + 0.198120f, 0.206909f, 0.215698f, 0.224365f, 0.234497f, 0.243652f, 0.252930f, 0.262695f, + 0.272461f, 0.282471f, 0.292480f, 0.302979f, 0.313721f, 0.324463f, 0.335205f, 0.346436f, + 0.357666f, 0.369141f, 0.380859f, 0.391602f, 0.404541f, 0.416016f, 0.428467f, 0.440918f, + 0.454102f, 0.466553f, 0.708496f, 0.715820f, 0.711426f, 0.706055f, 0.701660f, 0.696777f, + 0.002188f, 0.006599f, 0.011032f, 0.015068f, 0.019897f, 0.024048f, 0.028656f, 0.033264f, + 0.037720f, 0.042236f, 0.047028f, 0.051941f, 0.056824f, 0.062012f, 0.067444f, 0.072449f, + 0.077942f, 0.083374f, 0.088867f, 0.094727f, 0.100769f, 0.106750f, 0.112732f, 0.119263f, + 0.126099f, 0.133179f, 0.139648f, 0.146729f, 0.154175f, 0.161987f, 0.170044f, 0.177612f, + 0.185791f, 0.194214f, 0.203125f, 0.211670f, 0.220581f, 0.229370f, 0.238770f, 0.248047f, + 0.257812f, 0.267822f, 0.277344f, 0.287109f, 0.297363f, 0.307861f, 0.318848f, 0.329590f, + 0.341064f, 0.351562f, 0.363037f, 0.374512f, 0.385498f, 0.397461f, 0.409668f, 0.422363f, + 0.434326f, 0.447021f, 0.697266f, 0.706543f, 0.703125f, 0.698730f, 0.694336f, 0.689941f, + 0.002024f, 0.006165f, 0.010399f, 0.014481f, 0.018555f, 0.022797f, 0.026627f, 0.030869f, + 0.035187f, 0.039459f, 0.043732f, 0.047943f, 0.052917f, 0.057434f, 0.062622f, 0.067261f, + 0.071838f, 0.077454f, 0.082581f, 0.087891f, 0.093628f, 0.099182f, 0.105469f, 0.111206f, + 0.117126f, 0.123779f, 0.130371f, 0.137085f, 0.143921f, 0.151001f, 0.158691f, 0.166016f, + 0.173950f, 0.181641f, 0.190063f, 0.198120f, 0.206909f, 0.215698f, 0.224976f, 0.233398f, + 0.242798f, 0.252197f, 0.262207f, 0.271973f, 0.281738f, 0.291992f, 0.302734f, 0.313477f, + 0.323242f, 0.334229f, 0.345459f, 0.355957f, 0.368652f, 0.380615f, 0.391602f, 0.403809f, + 0.415771f, 0.428467f, 0.686523f, 0.696777f, 0.695312f, 0.691895f, 0.687500f, 0.683105f, + 0.001931f, 0.005970f, 0.009651f, 0.013557f, 0.017136f, 0.021088f, 0.024902f, 0.028748f, + 0.032623f, 0.036743f, 0.040833f, 0.044983f, 0.049591f, 0.053467f, 0.057800f, 0.062500f, + 0.066833f, 0.071533f, 0.076538f, 0.081238f, 0.086670f, 0.092224f, 0.097290f, 0.103088f, + 0.108887f, 0.114990f, 0.120972f, 0.127197f, 0.134277f, 0.140503f, 0.147705f, 0.154663f, + 0.162231f, 0.169922f, 0.177612f, 0.185303f, 0.193604f, 0.201904f, 0.210815f, 0.219238f, + 0.228516f, 0.237427f, 0.247070f, 0.256592f, 0.265869f, 0.275879f, 0.285645f, 0.295898f, + 0.306396f, 0.317139f, 0.328369f, 0.338623f, 0.350342f, 0.362305f, 0.374023f, 0.385010f, + 0.397461f, 0.410156f, 0.675781f, 0.687988f, 0.687012f, 0.683594f, 0.680664f, 0.676270f, + 0.001725f, 0.005436f, 0.009171f, 0.012589f, 0.016190f, 0.019485f, 0.023132f, 0.026978f, + 0.030899f, 0.034180f, 0.037659f, 0.041565f, 0.045074f, 0.049438f, 0.053345f, 0.057739f, + 0.061768f, 0.065918f, 0.070679f, 0.075073f, 0.080078f, 0.084656f, 0.089966f, 0.095215f, + 0.100464f, 0.106445f, 0.112000f, 0.117615f, 0.124207f, 0.130737f, 0.136719f, 0.144043f, + 0.151123f, 0.158081f, 0.165405f, 0.173096f, 0.181152f, 0.189087f, 0.197510f, 0.205688f, + 0.214600f, 0.223145f, 0.232178f, 0.241699f, 0.250732f, 0.260254f, 0.270264f, 0.279785f, + 0.289795f, 0.300293f, 0.310791f, 0.322510f, 0.333496f, 0.344238f, 0.355713f, 0.367188f, + 0.379395f, 0.392090f, 0.664551f, 0.678711f, 0.678223f, 0.675781f, 0.672852f, 0.669922f, + 0.001741f, 0.005077f, 0.008522f, 0.011810f, 0.014946f, 0.018524f, 0.021332f, 0.024872f, + 0.028519f, 0.031799f, 0.034973f, 0.038727f, 0.041992f, 0.045654f, 0.049072f, 0.052856f, + 0.056671f, 0.060638f, 0.064819f, 0.069092f, 0.073425f, 0.078125f, 0.082886f, 0.087280f, + 0.092651f, 0.098206f, 0.103638f, 0.109192f, 0.114563f, 0.120667f, 0.126709f, 0.133057f, + 0.139771f, 0.146851f, 0.153931f, 0.160767f, 0.168457f, 0.175903f, 0.183838f, 0.192505f, + 0.200195f, 0.208618f, 0.217407f, 0.226562f, 0.236084f, 0.245239f, 0.254639f, 0.263672f, + 0.273926f, 0.283447f, 0.294189f, 0.304932f, 0.315674f, 0.326172f, 0.337402f, 0.348877f, + 0.360107f, 0.373291f, 0.653809f, 0.670410f, 0.669922f, 0.667480f, 0.665527f, 0.662109f, + 0.001639f, 0.004951f, 0.007996f, 0.010857f, 0.013779f, 0.016968f, 0.019974f, 0.023392f, + 0.026001f, 0.029373f, 0.032013f, 0.035370f, 0.038513f, 0.041992f, 0.044586f, 0.048706f, + 0.052124f, 0.055634f, 0.059723f, 0.063354f, 0.067444f, 0.071289f, 0.075745f, 0.080444f, + 0.085022f, 0.089722f, 0.095032f, 0.100220f, 0.105347f, 0.111206f, 0.117126f, 0.123108f, + 0.129395f, 0.135620f, 0.142090f, 0.148682f, 0.156372f, 0.163574f, 0.170898f, 0.178711f, + 0.186890f, 0.194580f, 0.203613f, 0.211426f, 0.220459f, 0.229492f, 0.238281f, 0.248169f, + 0.257324f, 0.267578f, 0.277832f, 0.287354f, 0.298340f, 0.308350f, 0.319824f, 0.331543f, + 0.342041f, 0.354248f, 0.641602f, 0.660645f, 0.662109f, 0.660645f, 0.658203f, 0.654785f, + 0.001569f, 0.004539f, 0.007538f, 0.010368f, 0.013359f, 0.016006f, 0.018539f, 0.021210f, + 0.024384f, 0.026855f, 0.029892f, 0.032471f, 0.035034f, 0.038177f, 0.041199f, 0.044434f, + 0.047485f, 0.050781f, 0.054321f, 0.057953f, 0.061523f, 0.065430f, 0.069275f, 0.073547f, + 0.077820f, 0.082092f, 0.086731f, 0.091736f, 0.096985f, 0.101990f, 0.107361f, 0.112549f, + 0.118774f, 0.124878f, 0.131104f, 0.137573f, 0.144409f, 0.150635f, 0.157837f, 0.165283f, + 0.173340f, 0.181274f, 0.188599f, 0.197510f, 0.205933f, 0.214600f, 0.223633f, 0.232056f, + 0.241577f, 0.251709f, 0.261230f, 0.270996f, 0.281250f, 0.291260f, 0.302246f, 0.313477f, + 0.323730f, 0.336182f, 0.630859f, 0.651855f, 0.652832f, 0.652344f, 0.650391f, 0.647461f, + 0.001558f, 0.004139f, 0.007103f, 0.009560f, 0.012077f, 0.014313f, 0.016983f, 0.019653f, + 0.021988f, 0.024490f, 0.027023f, 0.029526f, 0.031891f, 0.034821f, 0.037903f, 0.040192f, + 0.043457f, 0.046417f, 0.049316f, 0.052795f, 0.055725f, 0.059357f, 0.063354f, 0.066895f, + 0.070740f, 0.074890f, 0.078979f, 0.083801f, 0.088440f, 0.093018f, 0.097961f, 0.103394f, + 0.108704f, 0.114563f, 0.120239f, 0.126343f, 0.132690f, 0.139038f, 0.145874f, 0.152710f, + 0.159912f, 0.168091f, 0.175537f, 0.183228f, 0.191650f, 0.199707f, 0.208130f, 0.216797f, + 0.226074f, 0.235352f, 0.244507f, 0.254395f, 0.264404f, 0.274414f, 0.285156f, 0.296631f, + 0.307373f, 0.318604f, 0.619141f, 0.643066f, 0.644531f, 0.644043f, 0.642578f, 0.639648f, + 0.001314f, 0.004002f, 0.006603f, 0.009056f, 0.011490f, 0.013184f, 0.015587f, 0.017883f, + 0.020157f, 0.022415f, 0.024582f, 0.027206f, 0.029160f, 0.031677f, 0.034088f, 0.036530f, + 0.039337f, 0.042206f, 0.044891f, 0.047729f, 0.050751f, 0.053955f, 0.057312f, 0.060486f, + 0.064148f, 0.068054f, 0.071960f, 0.075867f, 0.079895f, 0.084595f, 0.089172f, 0.094238f, + 0.098999f, 0.104492f, 0.109802f, 0.115173f, 0.121338f, 0.127686f, 0.134033f, 0.140991f, + 0.147095f, 0.154541f, 0.161865f, 0.169800f, 0.177368f, 0.185547f, 0.193848f, 0.201904f, + 0.211060f, 0.219116f, 0.229004f, 0.238525f, 0.248047f, 0.257812f, 0.267822f, 0.277832f, + 0.289062f, 0.300537f, 0.607910f, 0.633301f, 0.636230f, 0.635742f, 0.634766f, 0.633301f, + 0.001217f, 0.003571f, 0.005947f, 0.008011f, 0.010391f, 0.012207f, 0.014313f, 0.016617f, + 0.018280f, 0.020523f, 0.022537f, 0.024475f, 0.026443f, 0.028778f, 0.030884f, 0.032867f, + 0.035553f, 0.037872f, 0.040375f, 0.042938f, 0.045593f, 0.048431f, 0.051605f, 0.054688f, + 0.057953f, 0.061279f, 0.065002f, 0.068665f, 0.072266f, 0.076294f, 0.080872f, 0.085083f, + 0.089783f, 0.094482f, 0.099915f, 0.104736f, 0.110901f, 0.116272f, 0.122314f, 0.128784f, + 0.134888f, 0.142090f, 0.148560f, 0.155884f, 0.163574f, 0.171753f, 0.179077f, 0.187500f, + 0.195679f, 0.204346f, 0.213745f, 0.222656f, 0.231812f, 0.241455f, 0.250977f, 0.261230f, + 0.272461f, 0.282959f, 0.596680f, 0.623535f, 0.627441f, 0.627930f, 0.627441f, 0.625000f, + 0.001111f, 0.003542f, 0.005569f, 0.007504f, 0.009338f, 0.011452f, 0.012939f, 0.015030f, + 0.016678f, 0.018326f, 0.020203f, 0.022217f, 0.023788f, 0.025604f, 0.027771f, 0.029877f, + 0.031860f, 0.033813f, 0.036102f, 0.038605f, 0.040985f, 0.043579f, 0.046448f, 0.049042f, + 0.051849f, 0.055054f, 0.058319f, 0.061615f, 0.065125f, 0.068909f, 0.072815f, 0.076843f, + 0.080872f, 0.085571f, 0.089905f, 0.095398f, 0.100159f, 0.105713f, 0.111206f, 0.116882f, + 0.122925f, 0.129517f, 0.135742f, 0.142822f, 0.149902f, 0.157349f, 0.165161f, 0.172852f, + 0.181152f, 0.189331f, 0.198120f, 0.206909f, 0.215820f, 0.225342f, 0.235474f, 0.245239f, + 0.254883f, 0.266602f, 0.584473f, 0.614746f, 0.619141f, 0.619629f, 0.619141f, 0.618164f, + 0.001149f, 0.003147f, 0.004826f, 0.006886f, 0.008629f, 0.010452f, 0.012024f, 0.013359f, + 0.015175f, 0.016647f, 0.018143f, 0.019882f, 0.021332f, 0.023026f, 0.024902f, 0.026550f, + 0.028397f, 0.030045f, 0.032318f, 0.034393f, 0.036682f, 0.038910f, 0.041107f, 0.043671f, + 0.046295f, 0.048950f, 0.051819f, 0.054993f, 0.058258f, 0.061523f, 0.065063f, 0.068481f, + 0.072510f, 0.076965f, 0.081055f, 0.085510f, 0.090393f, 0.095093f, 0.100342f, 0.105774f, + 0.111694f, 0.117371f, 0.124084f, 0.130371f, 0.136963f, 0.143921f, 0.151245f, 0.159058f, + 0.166626f, 0.174927f, 0.182983f, 0.191650f, 0.200195f, 0.209473f, 0.218750f, 0.228149f, + 0.238037f, 0.249146f, 0.572266f, 0.604980f, 0.609863f, 0.611328f, 0.610352f, 0.611328f, + 0.001009f, 0.003059f, 0.004620f, 0.006283f, 0.007881f, 0.009415f, 0.010864f, 0.011940f, + 0.013443f, 0.014847f, 0.016403f, 0.017700f, 0.019012f, 0.020493f, 0.021927f, 0.023697f, + 0.025177f, 0.026947f, 0.028732f, 0.030472f, 0.032654f, 0.034302f, 0.036591f, 0.038757f, + 0.041046f, 0.043488f, 0.045837f, 0.048706f, 0.051544f, 0.054810f, 0.057770f, 0.061188f, + 0.064331f, 0.068237f, 0.072083f, 0.076416f, 0.080872f, 0.085388f, 0.090149f, 0.095276f, + 0.100403f, 0.105896f, 0.111877f, 0.117798f, 0.124329f, 0.130859f, 0.138062f, 0.145020f, + 0.152710f, 0.160034f, 0.168335f, 0.176514f, 0.185059f, 0.193481f, 0.203125f, 0.212158f, + 0.221924f, 0.232178f, 0.562500f, 0.594727f, 0.601074f, 0.602539f, 0.603516f, 0.602539f, + 0.000865f, 0.002674f, 0.004444f, 0.005615f, 0.007233f, 0.008430f, 0.009827f, 0.010880f, + 0.011917f, 0.013206f, 0.014412f, 0.015717f, 0.016876f, 0.018173f, 0.019501f, 0.020950f, + 0.022217f, 0.023773f, 0.025284f, 0.026749f, 0.028610f, 0.030151f, 0.032166f, 0.034149f, + 0.036041f, 0.038330f, 0.040558f, 0.042877f, 0.045532f, 0.048157f, 0.050934f, 0.053894f, + 0.056946f, 0.060303f, 0.063843f, 0.067566f, 0.071472f, 0.075806f, 0.080261f, 0.084778f, + 0.089600f, 0.094971f, 0.100220f, 0.105896f, 0.111877f, 0.118103f, 0.125000f, 0.131348f, + 0.138550f, 0.146362f, 0.153687f, 0.161987f, 0.169678f, 0.178223f, 0.187134f, 0.196045f, + 0.205811f, 0.215698f, 0.549805f, 0.584961f, 0.592773f, 0.594238f, 0.593750f, 0.595215f, + 0.000951f, 0.002476f, 0.003956f, 0.005062f, 0.006268f, 0.007637f, 0.008888f, 0.009666f, + 0.010628f, 0.011810f, 0.012856f, 0.013878f, 0.014946f, 0.015900f, 0.017227f, 0.018356f, + 0.019592f, 0.020889f, 0.022003f, 0.023438f, 0.025101f, 0.026489f, 0.028122f, 0.029739f, + 0.031555f, 0.033295f, 0.035431f, 0.037537f, 0.039795f, 0.041962f, 0.044647f, 0.047302f, + 0.049957f, 0.052979f, 0.056122f, 0.059387f, 0.062927f, 0.066956f, 0.070679f, 0.074951f, + 0.079468f, 0.084167f, 0.089294f, 0.094482f, 0.100098f, 0.106018f, 0.112061f, 0.118835f, + 0.125366f, 0.132446f, 0.139893f, 0.147827f, 0.155762f, 0.163574f, 0.172607f, 0.180786f, + 0.190063f, 0.199951f, 0.536621f, 0.576172f, 0.583496f, 0.586914f, 0.587402f, 0.586914f, + 0.000788f, 0.002115f, 0.003592f, 0.004780f, 0.005939f, 0.006615f, 0.007740f, 0.008598f, + 0.009514f, 0.010376f, 0.011200f, 0.012138f, 0.013016f, 0.014069f, 0.014977f, 0.015961f, + 0.016922f, 0.018036f, 0.019043f, 0.020447f, 0.021606f, 0.022995f, 0.024323f, 0.025864f, + 0.027344f, 0.028946f, 0.030731f, 0.032593f, 0.034515f, 0.036530f, 0.038910f, 0.041016f, + 0.043274f, 0.046021f, 0.048981f, 0.051819f, 0.055176f, 0.058472f, 0.062012f, 0.065857f, + 0.069946f, 0.074219f, 0.078796f, 0.083801f, 0.088806f, 0.094299f, 0.100281f, 0.106018f, + 0.112793f, 0.119446f, 0.126343f, 0.133545f, 0.141357f, 0.149292f, 0.157104f, 0.165894f, + 0.174683f, 0.184326f, 0.524902f, 0.566895f, 0.575195f, 0.576660f, 0.579102f, 0.579590f, + 0.000661f, 0.001961f, 0.003382f, 0.004311f, 0.005161f, 0.006062f, 0.006737f, 0.007427f, + 0.008286f, 0.008995f, 0.009857f, 0.010368f, 0.011230f, 0.011955f, 0.012833f, 0.013786f, + 0.014565f, 0.015480f, 0.016647f, 0.017578f, 0.018677f, 0.019806f, 0.020950f, 0.022263f, + 0.023651f, 0.024994f, 0.026306f, 0.027863f, 0.029724f, 0.031525f, 0.033325f, 0.035370f, + 0.037292f, 0.039673f, 0.042114f, 0.044769f, 0.047546f, 0.050537f, 0.053680f, 0.057098f, + 0.060852f, 0.064514f, 0.069031f, 0.073303f, 0.078064f, 0.083069f, 0.088379f, 0.094238f, + 0.100220f, 0.106689f, 0.113342f, 0.120300f, 0.127563f, 0.135132f, 0.142700f, 0.151245f, + 0.160034f, 0.168823f, 0.512695f, 0.557129f, 0.566406f, 0.569824f, 0.569824f, 0.571289f, + 0.000757f, 0.001709f, 0.002844f, 0.003582f, 0.004448f, 0.005192f, 0.005989f, 0.006519f, + 0.007038f, 0.007801f, 0.008453f, 0.009071f, 0.009727f, 0.010391f, 0.011009f, 0.011726f, + 0.012650f, 0.013184f, 0.014107f, 0.014977f, 0.015900f, 0.016800f, 0.017776f, 0.018936f, + 0.020172f, 0.021271f, 0.022446f, 0.023697f, 0.025055f, 0.026703f, 0.028397f, 0.030014f, + 0.031921f, 0.033905f, 0.035919f, 0.038177f, 0.040680f, 0.043243f, 0.045898f, 0.049072f, + 0.052216f, 0.055725f, 0.059784f, 0.063538f, 0.067688f, 0.072327f, 0.077271f, 0.082764f, + 0.088379f, 0.094299f, 0.100708f, 0.107239f, 0.114136f, 0.121582f, 0.128906f, 0.136963f, + 0.145630f, 0.153564f, 0.500977f, 0.547852f, 0.556641f, 0.561523f, 0.562500f, 0.563965f, + 0.000704f, 0.001769f, 0.002542f, 0.003523f, 0.004036f, 0.004562f, 0.005032f, 0.005661f, + 0.006176f, 0.006542f, 0.007072f, 0.007698f, 0.008339f, 0.008827f, 0.009323f, 0.010094f, + 0.010757f, 0.011276f, 0.012093f, 0.012733f, 0.013489f, 0.014488f, 0.015244f, 0.016006f, + 0.017151f, 0.017975f, 0.018967f, 0.020142f, 0.021255f, 0.022552f, 0.023880f, 0.025314f, + 0.026840f, 0.028503f, 0.030441f, 0.032166f, 0.034424f, 0.036438f, 0.039001f, 0.041656f, + 0.044464f, 0.047455f, 0.050842f, 0.054443f, 0.058167f, 0.062286f, 0.066956f, 0.071899f, + 0.076904f, 0.082458f, 0.088501f, 0.094482f, 0.101196f, 0.108337f, 0.115662f, 0.123352f, + 0.130981f, 0.139282f, 0.489746f, 0.538574f, 0.547852f, 0.551270f, 0.554688f, 0.555176f, + 0.000579f, 0.001450f, 0.002396f, 0.002857f, 0.003454f, 0.004032f, 0.004356f, 0.004791f, + 0.005333f, 0.005718f, 0.006130f, 0.006485f, 0.007042f, 0.007473f, 0.007988f, 0.008476f, + 0.008865f, 0.009613f, 0.010086f, 0.010651f, 0.011345f, 0.012047f, 0.012764f, 0.013435f, + 0.014282f, 0.015144f, 0.015884f, 0.016846f, 0.017868f, 0.018814f, 0.020050f, 0.021164f, + 0.022507f, 0.023773f, 0.025192f, 0.026978f, 0.028564f, 0.030640f, 0.032623f, 0.034882f, + 0.037231f, 0.039886f, 0.042786f, 0.046143f, 0.049286f, 0.052979f, 0.057098f, 0.061279f, + 0.066223f, 0.071167f, 0.076660f, 0.082581f, 0.088989f, 0.095581f, 0.102661f, 0.109863f, + 0.117737f, 0.125488f, 0.476807f, 0.528320f, 0.538574f, 0.543945f, 0.546875f, 0.546875f, + 0.000510f, 0.001428f, 0.002037f, 0.002613f, 0.003086f, 0.003290f, 0.003672f, 0.004108f, + 0.004345f, 0.004768f, 0.005035f, 0.005470f, 0.005959f, 0.006207f, 0.006599f, 0.007095f, + 0.007568f, 0.008003f, 0.008377f, 0.008904f, 0.009575f, 0.010010f, 0.010643f, 0.011131f, + 0.011871f, 0.012535f, 0.013199f, 0.014038f, 0.014839f, 0.015640f, 0.016586f, 0.017502f, + 0.018585f, 0.019745f, 0.021088f, 0.022354f, 0.023727f, 0.025253f, 0.026962f, 0.028870f, + 0.030762f, 0.033051f, 0.035492f, 0.038177f, 0.041229f, 0.044403f, 0.048004f, 0.051880f, + 0.056213f, 0.060516f, 0.065857f, 0.071045f, 0.077271f, 0.083374f, 0.090027f, 0.096863f, + 0.104492f, 0.112183f, 0.463623f, 0.518066f, 0.529785f, 0.535156f, 0.538086f, 0.540039f, + 0.000473f, 0.001222f, 0.001771f, 0.002117f, 0.002323f, 0.002796f, 0.003096f, 0.003355f, + 0.003601f, 0.003975f, 0.004295f, 0.004543f, 0.004833f, 0.005142f, 0.005455f, 0.005848f, + 0.006165f, 0.006535f, 0.006947f, 0.007370f, 0.007809f, 0.008240f, 0.008690f, 0.009216f, + 0.009758f, 0.010223f, 0.010925f, 0.011536f, 0.012146f, 0.012833f, 0.013573f, 0.014389f, + 0.015244f, 0.016220f, 0.017120f, 0.018219f, 0.019379f, 0.020599f, 0.021988f, 0.023514f, + 0.025131f, 0.027054f, 0.029037f, 0.031311f, 0.033752f, 0.036591f, 0.039520f, 0.042999f, + 0.046661f, 0.050873f, 0.055603f, 0.060333f, 0.066101f, 0.071960f, 0.078491f, 0.084961f, + 0.091797f, 0.099426f, 0.452148f, 0.508301f, 0.520508f, 0.526367f, 0.528809f, 0.530273f, + 0.000299f, 0.001057f, 0.001329f, 0.001771f, 0.001957f, 0.002350f, 0.002483f, 0.002697f, + 0.002964f, 0.003181f, 0.003441f, 0.003653f, 0.003904f, 0.004238f, 0.004501f, 0.004738f, + 0.005024f, 0.005390f, 0.005657f, 0.005985f, 0.006279f, 0.006714f, 0.007053f, 0.007507f, + 0.007881f, 0.008369f, 0.008774f, 0.009300f, 0.009888f, 0.010483f, 0.011093f, 0.011627f, + 0.012398f, 0.013130f, 0.013855f, 0.014717f, 0.015686f, 0.016739f, 0.017761f, 0.018890f, + 0.020248f, 0.021698f, 0.023376f, 0.025131f, 0.027237f, 0.029556f, 0.032166f, 0.035004f, + 0.038208f, 0.041962f, 0.045868f, 0.050507f, 0.055359f, 0.060852f, 0.066772f, 0.073242f, + 0.080017f, 0.087097f, 0.440674f, 0.498047f, 0.511719f, 0.517090f, 0.520508f, 0.522949f, + 0.000427f, 0.001020f, 0.001253f, 0.001431f, 0.001690f, 0.001900f, 0.002018f, 0.002304f, + 0.002481f, 0.002569f, 0.002731f, 0.002998f, 0.003157f, 0.003424f, 0.003592f, 0.003838f, + 0.004017f, 0.004253f, 0.004551f, 0.004776f, 0.005100f, 0.005379f, 0.005699f, 0.005932f, + 0.006290f, 0.006630f, 0.007038f, 0.007465f, 0.007927f, 0.008286f, 0.008858f, 0.009293f, + 0.009888f, 0.010429f, 0.011086f, 0.011765f, 0.012482f, 0.013298f, 0.014168f, 0.015068f, + 0.016129f, 0.017288f, 0.018585f, 0.019943f, 0.021622f, 0.023361f, 0.025436f, 0.027847f, + 0.030655f, 0.033447f, 0.037079f, 0.041229f, 0.045776f, 0.050568f, 0.056061f, 0.062317f, + 0.068726f, 0.075684f, 0.427734f, 0.488525f, 0.502441f, 0.508789f, 0.513184f, 0.513672f, + 0.000255f, 0.000597f, 0.001032f, 0.001150f, 0.001353f, 0.001493f, 0.001608f, 0.001750f, + 0.001933f, 0.002062f, 0.002178f, 0.002302f, 0.002474f, 0.002670f, 0.002872f, 0.002995f, + 0.003147f, 0.003298f, 0.003565f, 0.003729f, 0.003941f, 0.004219f, 0.004436f, 0.004719f, + 0.005005f, 0.005230f, 0.005489f, 0.005806f, 0.006191f, 0.006496f, 0.006897f, 0.007267f, + 0.007671f, 0.008179f, 0.008636f, 0.009163f, 0.009766f, 0.010368f, 0.011047f, 0.011810f, + 0.012611f, 0.013527f, 0.014519f, 0.015640f, 0.016800f, 0.018265f, 0.019897f, 0.021698f, + 0.023895f, 0.026260f, 0.029175f, 0.032715f, 0.036682f, 0.041168f, 0.045929f, 0.051758f, + 0.057922f, 0.064575f, 0.415771f, 0.478271f, 0.493652f, 0.500000f, 0.503906f, 0.505859f, + 0.000255f, 0.000544f, 0.000863f, 0.000994f, 0.001086f, 0.001183f, 0.001317f, 0.001328f, + 0.001491f, 0.001608f, 0.001716f, 0.001851f, 0.001943f, 0.002075f, 0.002161f, 0.002319f, + 0.002426f, 0.002596f, 0.002741f, 0.002884f, 0.003088f, 0.003265f, 0.003391f, 0.003620f, + 0.003777f, 0.004005f, 0.004215f, 0.004452f, 0.004734f, 0.004963f, 0.005341f, 0.005577f, + 0.005875f, 0.006271f, 0.006603f, 0.006996f, 0.007450f, 0.007919f, 0.008446f, 0.009003f, + 0.009674f, 0.010338f, 0.011101f, 0.011909f, 0.012917f, 0.013977f, 0.015190f, 0.016495f, + 0.018112f, 0.020325f, 0.022415f, 0.025146f, 0.028473f, 0.032349f, 0.036804f, 0.041992f, + 0.047913f, 0.054077f, 0.404541f, 0.468506f, 0.484131f, 0.490967f, 0.495361f, 0.498291f, + 0.000377f, 0.000440f, 0.000606f, 0.000685f, 0.000735f, 0.000876f, 0.000929f, 0.001035f, + 0.001068f, 0.001157f, 0.001307f, 0.001381f, 0.001473f, 0.001595f, 0.001664f, 0.001708f, + 0.001850f, 0.001957f, 0.002043f, 0.002195f, 0.002291f, 0.002422f, 0.002571f, 0.002687f, + 0.002842f, 0.002979f, 0.003183f, 0.003345f, 0.003532f, 0.003794f, 0.004002f, 0.004154f, + 0.004429f, 0.004635f, 0.004967f, 0.005253f, 0.005573f, 0.005909f, 0.006275f, 0.006695f, + 0.007183f, 0.007660f, 0.008316f, 0.008934f, 0.009644f, 0.010429f, 0.011360f, 0.012497f, + 0.013634f, 0.014977f, 0.016663f, 0.018875f, 0.021423f, 0.024643f, 0.028549f, 0.033020f, + 0.038483f, 0.044525f, 0.391602f, 0.458984f, 0.474854f, 0.482178f, 0.488037f, 0.489990f, + 0.000159f, 0.000401f, 0.000450f, 0.000522f, 0.000605f, 0.000634f, 0.000728f, 0.000702f, + 0.000808f, 0.000882f, 0.000959f, 0.000991f, 0.001043f, 0.001112f, 0.001205f, 0.001245f, + 0.001357f, 0.001419f, 0.001513f, 0.001546f, 0.001648f, 0.001752f, 0.001863f, 0.001942f, + 0.002056f, 0.002159f, 0.002289f, 0.002392f, 0.002506f, 0.002697f, 0.002827f, 0.003023f, + 0.003172f, 0.003330f, 0.003542f, 0.003750f, 0.004017f, 0.004292f, 0.004559f, 0.004871f, + 0.005161f, 0.005539f, 0.005932f, 0.006416f, 0.006973f, 0.007526f, 0.008232f, 0.008980f, + 0.009918f, 0.010895f, 0.012085f, 0.013680f, 0.015472f, 0.017975f, 0.021103f, 0.025146f, + 0.029938f, 0.035645f, 0.379395f, 0.448486f, 0.465820f, 0.473633f, 0.478760f, 0.481689f, + 0.000112f, 0.000220f, 0.000321f, 0.000322f, 0.000401f, 0.000489f, 0.000469f, 0.000510f, + 0.000568f, 0.000653f, 0.000659f, 0.000676f, 0.000703f, 0.000789f, 0.000811f, 0.000886f, + 0.000888f, 0.000994f, 0.001048f, 0.001096f, 0.001155f, 0.001220f, 0.001289f, 0.001357f, + 0.001431f, 0.001496f, 0.001599f, 0.001675f, 0.001759f, 0.001894f, 0.001965f, 0.002083f, + 0.002193f, 0.002310f, 0.002464f, 0.002634f, 0.002758f, 0.002949f, 0.003134f, 0.003319f, + 0.003551f, 0.003830f, 0.004120f, 0.004440f, 0.004784f, 0.005188f, 0.005680f, 0.006222f, + 0.006886f, 0.007614f, 0.008461f, 0.009529f, 0.010864f, 0.012596f, 0.014961f, 0.018097f, + 0.022263f, 0.027466f, 0.367920f, 0.438232f, 0.456543f, 0.465332f, 0.470215f, 0.472900f, + 0.000140f, 0.000219f, 0.000241f, 0.000245f, 0.000290f, 0.000291f, 0.000302f, 0.000342f, + 0.000380f, 0.000409f, 0.000408f, 0.000485f, 0.000473f, 0.000527f, 0.000556f, 0.000575f, + 0.000630f, 0.000642f, 0.000673f, 0.000711f, 0.000762f, 0.000800f, 0.000852f, 0.000886f, + 0.000952f, 0.000982f, 0.001049f, 0.001108f, 0.001159f, 0.001220f, 0.001281f, 0.001369f, + 0.001454f, 0.001522f, 0.001595f, 0.001695f, 0.001839f, 0.001928f, 0.002068f, 0.002209f, + 0.002337f, 0.002504f, 0.002686f, 0.002876f, 0.003139f, 0.003437f, 0.003723f, 0.004078f, + 0.004509f, 0.005009f, 0.005615f, 0.006332f, 0.007317f, 0.008461f, 0.009926f, 0.012154f, + 0.015640f, 0.020325f, 0.356445f, 0.429199f, 0.447266f, 0.456299f, 0.462158f, 0.464844f, + 0.000048f, 0.000154f, 0.000141f, 0.000147f, 0.000174f, 0.000207f, 0.000188f, 0.000221f, + 0.000233f, 0.000242f, 0.000248f, 0.000271f, 0.000299f, 0.000312f, 0.000337f, 0.000350f, + 0.000367f, 0.000403f, 0.000416f, 0.000458f, 0.000465f, 0.000483f, 0.000507f, 0.000546f, + 0.000576f, 0.000625f, 0.000637f, 0.000659f, 0.000705f, 0.000742f, 0.000797f, 0.000837f, + 0.000890f, 0.000925f, 0.000978f, 0.001036f, 0.001103f, 0.001181f, 0.001253f, 0.001329f, + 0.001421f, 0.001529f, 0.001647f, 0.001782f, 0.001906f, 0.002075f, 0.002291f, 0.002483f, + 0.002758f, 0.003059f, 0.003450f, 0.003906f, 0.004536f, 0.005306f, 0.006325f, 0.007713f, + 0.010101f, 0.014084f, 0.343262f, 0.418457f, 0.437744f, 0.447510f, 0.452881f, 0.456543f, + 0.000099f, 0.000100f, 0.000091f, 0.000085f, 0.000105f, 0.000099f, 0.000127f, 0.000127f, + 0.000130f, 0.000137f, 0.000152f, 0.000164f, 0.000164f, 0.000172f, 0.000195f, 0.000186f, + 0.000209f, 0.000222f, 0.000231f, 0.000241f, 0.000258f, 0.000266f, 0.000290f, 0.000301f, + 0.000324f, 0.000343f, 0.000357f, 0.000369f, 0.000392f, 0.000409f, 0.000440f, 0.000463f, + 0.000484f, 0.000513f, 0.000544f, 0.000578f, 0.000607f, 0.000650f, 0.000702f, 0.000737f, + 0.000787f, 0.000846f, 0.000918f, 0.000977f, 0.001062f, 0.001146f, 0.001259f, 0.001379f, + 0.001524f, 0.001701f, 0.001924f, 0.002207f, 0.002542f, 0.003006f, 0.003628f, 0.004494f, + 0.005821f, 0.008774f, 0.332031f, 0.409180f, 0.428467f, 0.438965f, 0.444336f, 0.447998f, + 0.000082f, 0.000057f, 0.000048f, 0.000051f, 0.000055f, 0.000054f, 0.000057f, 0.000064f, + 0.000066f, 0.000079f, 0.000070f, 0.000070f, 0.000084f, 0.000078f, 0.000084f, 0.000091f, + 0.000099f, 0.000108f, 0.000108f, 0.000114f, 0.000119f, 0.000124f, 0.000129f, 0.000144f, + 0.000151f, 0.000158f, 0.000163f, 0.000176f, 0.000188f, 0.000196f, 0.000208f, 0.000220f, + 0.000227f, 0.000239f, 0.000259f, 0.000273f, 0.000290f, 0.000303f, 0.000331f, 0.000351f, + 0.000376f, 0.000402f, 0.000432f, 0.000460f, 0.000500f, 0.000547f, 0.000593f, 0.000648f, + 0.000720f, 0.000805f, 0.000918f, 0.001045f, 0.001225f, 0.001462f, 0.001788f, 0.002264f, + 0.003029f, 0.004623f, 0.320801f, 0.398682f, 0.419922f, 0.430420f, 0.436279f, 0.440674f, + 0.000061f, 0.000041f, 0.000033f, 0.000029f, 0.000026f, 0.000025f, 0.000024f, 0.000024f, + 0.000023f, 0.000023f, 0.000025f, 0.000032f, 0.000026f, 0.000027f, 0.000035f, 0.000037f, + 0.000039f, 0.000041f, 0.000041f, 0.000041f, 0.000044f, 0.000050f, 0.000054f, 0.000051f, + 0.000055f, 0.000060f, 0.000061f, 0.000062f, 0.000069f, 0.000074f, 0.000075f, 0.000081f, + 0.000087f, 0.000090f, 0.000093f, 0.000098f, 0.000108f, 0.000114f, 0.000123f, 0.000130f, + 0.000142f, 0.000144f, 0.000156f, 0.000173f, 0.000179f, 0.000200f, 0.000218f, 0.000237f, + 0.000267f, 0.000299f, 0.000335f, 0.000382f, 0.000448f, 0.000544f, 0.000677f, 0.000883f, + 0.001233f, 0.001933f, 0.309570f, 0.388672f, 0.410889f, 0.421143f, 0.427246f, 0.431885f, + 0.000031f, 0.000020f, 0.000016f, 0.000014f, 0.000013f, 0.000012f, 0.000012f, 0.000011f, + 0.000011f, 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000009f, + 0.000009f, 0.000007f, 0.000007f, 0.000007f, 0.000008f, 0.000009f, 0.000011f, 0.000012f, + 0.000012f, 0.000012f, 0.000013f, 0.000015f, 0.000015f, 0.000014f, 0.000016f, 0.000017f, + 0.000019f, 0.000020f, 0.000020f, 0.000022f, 0.000025f, 0.000023f, 0.000026f, 0.000029f, + 0.000031f, 0.000034f, 0.000036f, 0.000037f, 0.000040f, 0.000044f, 0.000048f, 0.000052f, + 0.000056f, 0.000063f, 0.000068f, 0.000083f, 0.000098f, 0.000117f, 0.000149f, 0.000201f, + 0.000301f, 0.000544f, 0.297607f, 0.379150f, 0.400879f, 0.411865f, 0.419189f, 0.423340f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000002f, 0.000003f, 0.000004f, 0.000004f, 0.000004f, 0.000005f, 0.000007f, + 0.000011f, 0.000026f, 0.286621f, 0.368896f, 0.391846f, 0.402588f, 0.409912f, 0.414551f, + }, + { + 0.007935f, 0.024429f, 0.041290f, 0.058838f, 0.076355f, 0.093933f, 0.111145f, 0.128174f, + 0.146606f, 0.164429f, 0.182617f, 0.200562f, 0.218750f, 0.236206f, 0.254150f, 0.271729f, + 0.289551f, 0.308105f, 0.325684f, 0.342773f, 0.360596f, 0.379150f, 0.396240f, 0.414795f, + 0.431641f, 0.450439f, 0.468018f, 0.484619f, 0.502441f, 0.520020f, 0.536621f, 0.554688f, + 0.571777f, 0.588379f, 0.605469f, 0.622559f, 0.640137f, 0.657227f, 0.672852f, 0.689941f, + 0.707031f, 0.723633f, 0.740234f, 0.756836f, 0.773926f, 0.789551f, 0.805664f, 0.821777f, + 0.838379f, 0.854980f, 0.870117f, 0.885742f, 0.901855f, 0.917480f, 0.932617f, 0.948730f, + 0.963379f, 0.979492f, 0.960449f, 0.909668f, 0.876465f, 0.850098f, 0.827637f, 0.807617f, + 0.007530f, 0.023422f, 0.039764f, 0.056610f, 0.073303f, 0.090149f, 0.107300f, 0.124084f, + 0.141968f, 0.158569f, 0.176392f, 0.193604f, 0.210815f, 0.228760f, 0.246094f, 0.262695f, + 0.280518f, 0.298340f, 0.315430f, 0.333252f, 0.350586f, 0.367432f, 0.384766f, 0.402344f, + 0.419678f, 0.436768f, 0.453613f, 0.471436f, 0.488037f, 0.504883f, 0.521973f, 0.538574f, + 0.556641f, 0.573242f, 0.589844f, 0.605957f, 0.623535f, 0.639160f, 0.656250f, 0.673340f, + 0.688477f, 0.706055f, 0.721680f, 0.738770f, 0.754883f, 0.770508f, 0.786133f, 0.803711f, + 0.817871f, 0.834473f, 0.850586f, 0.866211f, 0.881348f, 0.896973f, 0.913086f, 0.928223f, + 0.942871f, 0.958984f, 0.951172f, 0.903320f, 0.871094f, 0.845703f, 0.824219f, 0.805664f, + 0.007320f, 0.022552f, 0.038391f, 0.054260f, 0.070312f, 0.086792f, 0.103271f, 0.120178f, + 0.136841f, 0.153564f, 0.170410f, 0.187256f, 0.203735f, 0.220825f, 0.237793f, 0.255127f, + 0.271240f, 0.288086f, 0.305420f, 0.322021f, 0.339844f, 0.356689f, 0.373047f, 0.390137f, + 0.406738f, 0.423340f, 0.440186f, 0.456787f, 0.474121f, 0.490967f, 0.507324f, 0.523926f, + 0.540527f, 0.557129f, 0.573242f, 0.590332f, 0.606445f, 0.623047f, 0.638672f, 0.655273f, + 0.671875f, 0.687500f, 0.703613f, 0.720215f, 0.735840f, 0.751953f, 0.767578f, 0.783203f, + 0.799316f, 0.814941f, 0.830078f, 0.845703f, 0.861328f, 0.877441f, 0.892090f, 0.908203f, + 0.922852f, 0.938477f, 0.941895f, 0.895996f, 0.865723f, 0.841309f, 0.820801f, 0.802734f, + 0.007008f, 0.021667f, 0.036865f, 0.052216f, 0.067871f, 0.083862f, 0.099426f, 0.115479f, + 0.131470f, 0.148315f, 0.164551f, 0.180298f, 0.196899f, 0.213379f, 0.229370f, 0.246460f, + 0.262695f, 0.279541f, 0.295410f, 0.311523f, 0.329102f, 0.345215f, 0.360840f, 0.378174f, + 0.394043f, 0.410156f, 0.427246f, 0.443115f, 0.459717f, 0.476318f, 0.493652f, 0.508789f, + 0.524902f, 0.541016f, 0.557129f, 0.573242f, 0.589844f, 0.605469f, 0.621582f, 0.638672f, + 0.652832f, 0.669434f, 0.685547f, 0.701660f, 0.717285f, 0.731934f, 0.749023f, 0.764160f, + 0.779785f, 0.794922f, 0.810059f, 0.826172f, 0.841309f, 0.856445f, 0.872070f, 0.886719f, + 0.902344f, 0.917480f, 0.932129f, 0.889648f, 0.859863f, 0.835938f, 0.816895f, 0.799316f, + 0.006817f, 0.020645f, 0.035156f, 0.050110f, 0.065247f, 0.080383f, 0.096313f, 0.111450f, + 0.126587f, 0.142456f, 0.158447f, 0.174316f, 0.189819f, 0.205566f, 0.221802f, 0.237427f, + 0.253662f, 0.269775f, 0.285889f, 0.301514f, 0.317627f, 0.333740f, 0.349609f, 0.366211f, + 0.381348f, 0.397705f, 0.414307f, 0.429932f, 0.447266f, 0.462646f, 0.477539f, 0.494385f, + 0.509766f, 0.525879f, 0.541992f, 0.557617f, 0.571777f, 0.588379f, 0.605469f, 0.619629f, + 0.636230f, 0.651855f, 0.666992f, 0.681152f, 0.698242f, 0.714355f, 0.729980f, 0.745117f, + 0.759766f, 0.775391f, 0.790527f, 0.806152f, 0.821289f, 0.835938f, 0.850586f, 0.866211f, + 0.882324f, 0.896484f, 0.922363f, 0.882324f, 0.854004f, 0.831543f, 0.812500f, 0.795898f, + 0.006378f, 0.019989f, 0.034027f, 0.048004f, 0.062744f, 0.077148f, 0.091980f, 0.107178f, + 0.122192f, 0.137207f, 0.152466f, 0.167603f, 0.183960f, 0.199097f, 0.214111f, 0.229736f, + 0.244995f, 0.260254f, 0.276367f, 0.291504f, 0.306641f, 0.322998f, 0.338623f, 0.354248f, + 0.369629f, 0.385254f, 0.400879f, 0.416504f, 0.432617f, 0.447510f, 0.464111f, 0.479492f, + 0.494141f, 0.511230f, 0.525879f, 0.541016f, 0.556641f, 0.572754f, 0.586914f, 0.602051f, + 0.617676f, 0.633789f, 0.648926f, 0.665039f, 0.679688f, 0.695312f, 0.710449f, 0.726074f, + 0.739746f, 0.755859f, 0.771484f, 0.785645f, 0.800781f, 0.815918f, 0.831055f, 0.846680f, + 0.860840f, 0.875977f, 0.912598f, 0.874512f, 0.847656f, 0.826172f, 0.807617f, 0.791504f, + 0.006603f, 0.019287f, 0.032776f, 0.046356f, 0.060272f, 0.073914f, 0.088135f, 0.102905f, + 0.117554f, 0.132690f, 0.147095f, 0.161377f, 0.176636f, 0.191162f, 0.205444f, 0.221680f, + 0.236572f, 0.251465f, 0.267090f, 0.281250f, 0.296875f, 0.312256f, 0.327393f, 0.342285f, + 0.357666f, 0.373291f, 0.388184f, 0.403076f, 0.418457f, 0.433838f, 0.448975f, 0.465088f, + 0.479980f, 0.494385f, 0.509277f, 0.525879f, 0.540039f, 0.555176f, 0.570801f, 0.586426f, + 0.601074f, 0.616211f, 0.631348f, 0.646484f, 0.661133f, 0.676270f, 0.692383f, 0.705078f, + 0.720215f, 0.735352f, 0.751953f, 0.766602f, 0.781250f, 0.796387f, 0.810059f, 0.825684f, + 0.840820f, 0.855469f, 0.902344f, 0.866699f, 0.841797f, 0.820312f, 0.803223f, 0.787598f, + 0.006111f, 0.018433f, 0.031097f, 0.044739f, 0.057892f, 0.071472f, 0.085205f, 0.099304f, + 0.113037f, 0.127319f, 0.141357f, 0.156128f, 0.169678f, 0.183838f, 0.198608f, 0.213745f, + 0.227661f, 0.243652f, 0.257324f, 0.272705f, 0.286865f, 0.301025f, 0.316406f, 0.331543f, + 0.345703f, 0.360107f, 0.375000f, 0.390625f, 0.405762f, 0.420410f, 0.435303f, 0.449951f, + 0.465088f, 0.479492f, 0.494141f, 0.509277f, 0.523926f, 0.538574f, 0.553711f, 0.569336f, + 0.583496f, 0.598145f, 0.612793f, 0.628418f, 0.642578f, 0.657227f, 0.671387f, 0.687012f, + 0.702637f, 0.716797f, 0.731934f, 0.745605f, 0.761230f, 0.775391f, 0.790527f, 0.805176f, + 0.819824f, 0.834961f, 0.892578f, 0.858887f, 0.834473f, 0.814941f, 0.798340f, 0.783203f, + 0.005756f, 0.017761f, 0.029907f, 0.042572f, 0.055481f, 0.068420f, 0.081482f, 0.095276f, + 0.108826f, 0.122070f, 0.135620f, 0.149902f, 0.163330f, 0.177368f, 0.191284f, 0.206421f, + 0.219482f, 0.233521f, 0.247925f, 0.262451f, 0.277100f, 0.290771f, 0.304688f, 0.319580f, + 0.334229f, 0.348389f, 0.362549f, 0.377441f, 0.391602f, 0.406250f, 0.421143f, 0.435791f, + 0.450439f, 0.463867f, 0.478760f, 0.493164f, 0.507812f, 0.521973f, 0.537109f, 0.551270f, + 0.565430f, 0.580078f, 0.594727f, 0.609863f, 0.624023f, 0.638672f, 0.653320f, 0.668457f, + 0.682129f, 0.697266f, 0.711914f, 0.726562f, 0.740723f, 0.755859f, 0.770996f, 0.785156f, + 0.799805f, 0.814453f, 0.882812f, 0.851562f, 0.827148f, 0.808594f, 0.792969f, 0.778809f, + 0.005741f, 0.017166f, 0.029053f, 0.041138f, 0.053345f, 0.065796f, 0.078674f, 0.091248f, + 0.104614f, 0.117004f, 0.130737f, 0.143921f, 0.156860f, 0.170288f, 0.183960f, 0.197754f, + 0.211304f, 0.224976f, 0.238892f, 0.251953f, 0.266357f, 0.280273f, 0.294922f, 0.308594f, + 0.322021f, 0.336914f, 0.350098f, 0.364502f, 0.378174f, 0.393066f, 0.407471f, 0.420166f, + 0.435059f, 0.449219f, 0.463135f, 0.477295f, 0.491699f, 0.506348f, 0.520996f, 0.534668f, + 0.549316f, 0.563477f, 0.577148f, 0.591309f, 0.605469f, 0.620605f, 0.634766f, 0.648438f, + 0.663086f, 0.677734f, 0.691895f, 0.706543f, 0.720215f, 0.734863f, 0.750488f, 0.765137f, + 0.779297f, 0.793945f, 0.872559f, 0.843262f, 0.820801f, 0.803223f, 0.787598f, 0.773926f, + 0.005283f, 0.016052f, 0.028030f, 0.039246f, 0.050751f, 0.063232f, 0.074829f, 0.087341f, + 0.099976f, 0.112732f, 0.125122f, 0.138062f, 0.150757f, 0.163696f, 0.176758f, 0.189697f, + 0.203125f, 0.216553f, 0.229614f, 0.243286f, 0.256592f, 0.269775f, 0.283203f, 0.297119f, + 0.310547f, 0.324463f, 0.337891f, 0.351807f, 0.365234f, 0.378662f, 0.392822f, 0.406738f, + 0.419922f, 0.434814f, 0.448730f, 0.461182f, 0.476562f, 0.489746f, 0.502930f, 0.517578f, + 0.531738f, 0.545410f, 0.559082f, 0.573730f, 0.587402f, 0.602051f, 0.615723f, 0.629395f, + 0.644043f, 0.658203f, 0.672363f, 0.686523f, 0.701660f, 0.714844f, 0.729980f, 0.743652f, + 0.758301f, 0.774414f, 0.862305f, 0.835449f, 0.813965f, 0.796875f, 0.782227f, 0.769043f, + 0.005272f, 0.015427f, 0.026230f, 0.037506f, 0.049164f, 0.060516f, 0.072021f, 0.083740f, + 0.095825f, 0.108521f, 0.120361f, 0.132324f, 0.144897f, 0.156738f, 0.169922f, 0.182373f, + 0.195068f, 0.208008f, 0.220459f, 0.233887f, 0.246948f, 0.260254f, 0.272461f, 0.285889f, + 0.299561f, 0.312500f, 0.325684f, 0.338867f, 0.352783f, 0.365479f, 0.378906f, 0.392334f, + 0.406006f, 0.419189f, 0.432861f, 0.446777f, 0.460693f, 0.473877f, 0.486572f, 0.500977f, + 0.515137f, 0.528809f, 0.542480f, 0.555176f, 0.569824f, 0.583984f, 0.597656f, 0.611328f, + 0.625000f, 0.639648f, 0.653320f, 0.667480f, 0.681641f, 0.695801f, 0.709961f, 0.723633f, + 0.738281f, 0.752930f, 0.852539f, 0.827148f, 0.807129f, 0.790527f, 0.776367f, 0.764160f, + 0.004822f, 0.014885f, 0.025360f, 0.035767f, 0.046570f, 0.057587f, 0.068726f, 0.080139f, + 0.091736f, 0.103577f, 0.115479f, 0.126709f, 0.138672f, 0.150879f, 0.162231f, 0.174805f, + 0.187622f, 0.199951f, 0.212524f, 0.224854f, 0.236694f, 0.249878f, 0.262207f, 0.275391f, + 0.287842f, 0.300293f, 0.313477f, 0.326904f, 0.340088f, 0.353027f, 0.365479f, 0.378174f, + 0.391602f, 0.404541f, 0.417236f, 0.431641f, 0.444336f, 0.457764f, 0.470703f, 0.484375f, + 0.497803f, 0.510742f, 0.524902f, 0.537598f, 0.552246f, 0.564941f, 0.579590f, 0.592285f, + 0.606445f, 0.621094f, 0.634277f, 0.646973f, 0.662109f, 0.675781f, 0.689453f, 0.704102f, + 0.718262f, 0.733398f, 0.842285f, 0.818848f, 0.799805f, 0.784180f, 0.770996f, 0.758301f, + 0.004745f, 0.014427f, 0.024277f, 0.034546f, 0.044800f, 0.055176f, 0.066040f, 0.076477f, + 0.087341f, 0.099060f, 0.110474f, 0.121216f, 0.132690f, 0.144165f, 0.156006f, 0.167358f, + 0.179688f, 0.191284f, 0.203247f, 0.216187f, 0.227905f, 0.239868f, 0.252441f, 0.264648f, + 0.277100f, 0.289307f, 0.301270f, 0.314453f, 0.326660f, 0.338867f, 0.352539f, 0.364990f, + 0.377686f, 0.390137f, 0.403076f, 0.416016f, 0.428467f, 0.441406f, 0.453857f, 0.468262f, + 0.480957f, 0.494385f, 0.507324f, 0.520020f, 0.534180f, 0.547363f, 0.560059f, 0.573730f, + 0.586914f, 0.601074f, 0.615234f, 0.628418f, 0.641602f, 0.656250f, 0.669434f, 0.683594f, + 0.697754f, 0.712402f, 0.832520f, 0.809570f, 0.792480f, 0.778320f, 0.764160f, 0.753906f, + 0.004612f, 0.013840f, 0.023483f, 0.033081f, 0.042999f, 0.052490f, 0.063049f, 0.073303f, + 0.083801f, 0.094238f, 0.105042f, 0.115967f, 0.127319f, 0.138062f, 0.149048f, 0.160645f, + 0.171875f, 0.183228f, 0.194946f, 0.206665f, 0.218384f, 0.230347f, 0.241699f, 0.253906f, + 0.265869f, 0.277832f, 0.290039f, 0.301758f, 0.314209f, 0.326660f, 0.339111f, 0.351074f, + 0.363281f, 0.375977f, 0.388428f, 0.401123f, 0.413330f, 0.426270f, 0.439453f, 0.451904f, + 0.464111f, 0.478027f, 0.489746f, 0.503418f, 0.515625f, 0.529297f, 0.542480f, 0.556152f, + 0.569336f, 0.582031f, 0.595215f, 0.608887f, 0.622559f, 0.636230f, 0.649902f, 0.663574f, + 0.677246f, 0.691895f, 0.821289f, 0.802246f, 0.785645f, 0.771484f, 0.758789f, 0.748047f, + 0.004345f, 0.012985f, 0.022156f, 0.030884f, 0.040802f, 0.050568f, 0.060303f, 0.069946f, + 0.079956f, 0.090393f, 0.100403f, 0.111084f, 0.120667f, 0.131714f, 0.142700f, 0.153198f, + 0.164429f, 0.175659f, 0.186523f, 0.197876f, 0.208496f, 0.220337f, 0.231567f, 0.243286f, + 0.254639f, 0.266113f, 0.277832f, 0.289795f, 0.301758f, 0.313477f, 0.325439f, 0.337402f, + 0.349609f, 0.361328f, 0.373779f, 0.385986f, 0.398193f, 0.410889f, 0.423340f, 0.435059f, + 0.447998f, 0.460205f, 0.473389f, 0.486084f, 0.499023f, 0.511230f, 0.524414f, 0.537109f, + 0.549805f, 0.563477f, 0.576172f, 0.589355f, 0.603027f, 0.616699f, 0.629883f, 0.644531f, + 0.658691f, 0.670898f, 0.811035f, 0.792969f, 0.777832f, 0.764648f, 0.752441f, 0.742676f, + 0.004002f, 0.012718f, 0.021210f, 0.029877f, 0.039246f, 0.048431f, 0.057281f, 0.067078f, + 0.076538f, 0.086121f, 0.096008f, 0.105957f, 0.115540f, 0.125732f, 0.136475f, 0.146729f, + 0.157227f, 0.167236f, 0.177979f, 0.189819f, 0.200195f, 0.210693f, 0.221802f, 0.232788f, + 0.243896f, 0.255127f, 0.266602f, 0.278320f, 0.289062f, 0.300293f, 0.312012f, 0.323975f, + 0.335449f, 0.347168f, 0.359131f, 0.371094f, 0.382812f, 0.394775f, 0.406982f, 0.419434f, + 0.431152f, 0.443604f, 0.455566f, 0.468506f, 0.481445f, 0.493408f, 0.506348f, 0.519043f, + 0.531738f, 0.544922f, 0.558105f, 0.570801f, 0.583984f, 0.597168f, 0.610352f, 0.624512f, + 0.637695f, 0.651855f, 0.800293f, 0.785156f, 0.770508f, 0.757812f, 0.747070f, 0.737305f, + 0.003967f, 0.011940f, 0.020203f, 0.028931f, 0.037109f, 0.045898f, 0.054840f, 0.063477f, + 0.073059f, 0.082214f, 0.090942f, 0.100647f, 0.110535f, 0.120178f, 0.129639f, 0.139648f, + 0.149902f, 0.160156f, 0.170044f, 0.180786f, 0.190674f, 0.201416f, 0.211792f, 0.222412f, + 0.233521f, 0.244751f, 0.255615f, 0.266113f, 0.276855f, 0.288574f, 0.299561f, 0.311279f, + 0.322266f, 0.333984f, 0.344727f, 0.356934f, 0.368164f, 0.379395f, 0.390869f, 0.403076f, + 0.415283f, 0.427246f, 0.439453f, 0.451172f, 0.464111f, 0.476807f, 0.488281f, 0.500977f, + 0.513672f, 0.526367f, 0.538574f, 0.551758f, 0.564453f, 0.577637f, 0.590820f, 0.604492f, + 0.618164f, 0.631836f, 0.790039f, 0.775879f, 0.763184f, 0.750977f, 0.740723f, 0.731445f, + 0.003679f, 0.011749f, 0.019135f, 0.027237f, 0.035431f, 0.043884f, 0.052399f, 0.060577f, + 0.069153f, 0.077881f, 0.086731f, 0.095947f, 0.104797f, 0.114380f, 0.123535f, 0.133057f, + 0.142700f, 0.152588f, 0.162231f, 0.171753f, 0.182129f, 0.192261f, 0.202026f, 0.212524f, + 0.222900f, 0.233643f, 0.243896f, 0.254395f, 0.264893f, 0.276123f, 0.286621f, 0.297119f, + 0.308105f, 0.319336f, 0.331299f, 0.341553f, 0.353027f, 0.364258f, 0.375977f, 0.387451f, + 0.399414f, 0.410645f, 0.422607f, 0.434814f, 0.445801f, 0.458984f, 0.470703f, 0.482910f, + 0.495361f, 0.508301f, 0.520020f, 0.532227f, 0.545410f, 0.558594f, 0.570801f, 0.584961f, + 0.597656f, 0.611816f, 0.778809f, 0.768066f, 0.754883f, 0.743652f, 0.733887f, 0.725098f, + 0.003525f, 0.010956f, 0.018433f, 0.026260f, 0.033295f, 0.041870f, 0.049377f, 0.057709f, + 0.065735f, 0.074463f, 0.082764f, 0.091736f, 0.099976f, 0.108582f, 0.118103f, 0.126465f, + 0.135742f, 0.144775f, 0.154175f, 0.164307f, 0.173218f, 0.182983f, 0.192505f, 0.202759f, + 0.212646f, 0.221924f, 0.232910f, 0.242188f, 0.252930f, 0.262939f, 0.273926f, 0.284180f, + 0.294922f, 0.305420f, 0.316162f, 0.327637f, 0.338867f, 0.349609f, 0.361084f, 0.371826f, + 0.382812f, 0.395020f, 0.406494f, 0.417725f, 0.429688f, 0.441406f, 0.452637f, 0.465088f, + 0.477783f, 0.489258f, 0.501953f, 0.514160f, 0.527344f, 0.539062f, 0.551758f, 0.564941f, + 0.578125f, 0.591797f, 0.768555f, 0.759277f, 0.748047f, 0.736816f, 0.728027f, 0.718750f, + 0.003363f, 0.010353f, 0.017548f, 0.024765f, 0.032196f, 0.039673f, 0.046936f, 0.054565f, + 0.062561f, 0.070496f, 0.078308f, 0.086731f, 0.094910f, 0.103333f, 0.111633f, 0.120422f, + 0.129150f, 0.137695f, 0.146973f, 0.155762f, 0.164673f, 0.173950f, 0.183228f, 0.193359f, + 0.201782f, 0.212036f, 0.221436f, 0.231323f, 0.241699f, 0.251221f, 0.261719f, 0.271729f, + 0.281494f, 0.291992f, 0.302734f, 0.312988f, 0.323730f, 0.334961f, 0.345459f, 0.357666f, + 0.367432f, 0.378662f, 0.389893f, 0.401855f, 0.412842f, 0.424316f, 0.435791f, 0.447266f, + 0.459473f, 0.471436f, 0.482910f, 0.495605f, 0.507324f, 0.520508f, 0.533203f, 0.545898f, + 0.558594f, 0.570801f, 0.757812f, 0.750488f, 0.740234f, 0.729980f, 0.720703f, 0.712402f, + 0.003254f, 0.010048f, 0.016815f, 0.023453f, 0.030609f, 0.037537f, 0.044617f, 0.051971f, + 0.059265f, 0.066833f, 0.074280f, 0.082153f, 0.089905f, 0.097717f, 0.106018f, 0.113770f, + 0.122131f, 0.131104f, 0.139282f, 0.147705f, 0.155762f, 0.165161f, 0.173950f, 0.183228f, + 0.192139f, 0.200928f, 0.210693f, 0.220093f, 0.229736f, 0.239258f, 0.248657f, 0.259277f, + 0.268799f, 0.279053f, 0.288574f, 0.299561f, 0.309814f, 0.319580f, 0.330322f, 0.340820f, + 0.352783f, 0.362549f, 0.374023f, 0.385010f, 0.395752f, 0.407471f, 0.418701f, 0.429688f, + 0.441650f, 0.453125f, 0.465088f, 0.477539f, 0.489014f, 0.500977f, 0.513184f, 0.526855f, + 0.539062f, 0.552246f, 0.747559f, 0.741699f, 0.731934f, 0.722656f, 0.714355f, 0.707031f, + 0.003345f, 0.009262f, 0.015900f, 0.022614f, 0.029282f, 0.035522f, 0.042633f, 0.048981f, + 0.056000f, 0.063110f, 0.070801f, 0.077454f, 0.084839f, 0.092590f, 0.100281f, 0.107849f, + 0.116089f, 0.123169f, 0.131348f, 0.139648f, 0.148193f, 0.156616f, 0.164795f, 0.173584f, + 0.182617f, 0.191284f, 0.200073f, 0.208740f, 0.218140f, 0.227417f, 0.236694f, 0.246338f, + 0.255859f, 0.265381f, 0.275146f, 0.285889f, 0.294922f, 0.305420f, 0.315918f, 0.325928f, + 0.336670f, 0.347412f, 0.358154f, 0.368652f, 0.378662f, 0.390381f, 0.402100f, 0.412842f, + 0.424316f, 0.435059f, 0.447021f, 0.458984f, 0.470459f, 0.482422f, 0.494873f, 0.508301f, + 0.520020f, 0.532227f, 0.737305f, 0.732910f, 0.723633f, 0.715820f, 0.708008f, 0.700195f, + 0.003195f, 0.009010f, 0.015137f, 0.021225f, 0.027466f, 0.033844f, 0.040161f, 0.046417f, + 0.053497f, 0.059875f, 0.066711f, 0.073425f, 0.080505f, 0.087280f, 0.094788f, 0.102173f, + 0.109070f, 0.117004f, 0.124634f, 0.132446f, 0.139893f, 0.147705f, 0.155884f, 0.163940f, + 0.172729f, 0.180908f, 0.189697f, 0.198242f, 0.206665f, 0.215820f, 0.225220f, 0.233765f, + 0.243408f, 0.251953f, 0.262207f, 0.271484f, 0.281494f, 0.291260f, 0.300537f, 0.311035f, + 0.320801f, 0.332520f, 0.341797f, 0.352051f, 0.362305f, 0.373535f, 0.384521f, 0.395264f, + 0.406494f, 0.417480f, 0.429443f, 0.440430f, 0.451904f, 0.463867f, 0.476074f, 0.487793f, + 0.499268f, 0.513184f, 0.726562f, 0.723633f, 0.716309f, 0.708496f, 0.700684f, 0.694336f, + 0.002859f, 0.008507f, 0.014366f, 0.020203f, 0.026123f, 0.031891f, 0.038025f, 0.044281f, + 0.050354f, 0.056519f, 0.062683f, 0.069275f, 0.075195f, 0.082458f, 0.088806f, 0.095947f, + 0.102783f, 0.110046f, 0.117065f, 0.124878f, 0.132080f, 0.139282f, 0.146851f, 0.154907f, + 0.162598f, 0.171265f, 0.178833f, 0.187500f, 0.195435f, 0.204590f, 0.213013f, 0.221680f, + 0.231079f, 0.239502f, 0.248047f, 0.258301f, 0.267334f, 0.277100f, 0.286133f, 0.296387f, + 0.306641f, 0.316162f, 0.326416f, 0.336426f, 0.346924f, 0.357422f, 0.367188f, 0.378418f, + 0.389160f, 0.400391f, 0.411865f, 0.422852f, 0.433594f, 0.445557f, 0.457520f, 0.468994f, + 0.481445f, 0.493408f, 0.715332f, 0.715332f, 0.708984f, 0.700684f, 0.693848f, 0.687988f, + 0.002701f, 0.008080f, 0.013718f, 0.019058f, 0.024582f, 0.030197f, 0.035675f, 0.041748f, + 0.047302f, 0.053589f, 0.059082f, 0.065308f, 0.071777f, 0.077576f, 0.084106f, 0.090332f, + 0.097107f, 0.103577f, 0.110046f, 0.117493f, 0.124146f, 0.131470f, 0.138550f, 0.145508f, + 0.153564f, 0.161377f, 0.169067f, 0.176880f, 0.184814f, 0.192627f, 0.201294f, 0.209717f, + 0.218140f, 0.226929f, 0.235229f, 0.245117f, 0.253418f, 0.262939f, 0.272705f, 0.281738f, + 0.290771f, 0.300781f, 0.310791f, 0.321289f, 0.330566f, 0.341064f, 0.351562f, 0.361572f, + 0.372559f, 0.382568f, 0.393066f, 0.405273f, 0.415771f, 0.426758f, 0.438721f, 0.450439f, + 0.461670f, 0.474121f, 0.704102f, 0.706543f, 0.700195f, 0.693359f, 0.687012f, 0.681152f, + 0.002546f, 0.007771f, 0.012985f, 0.017975f, 0.023392f, 0.028976f, 0.034180f, 0.039368f, + 0.044556f, 0.050110f, 0.055847f, 0.061218f, 0.066895f, 0.072815f, 0.078674f, 0.085083f, + 0.091309f, 0.097168f, 0.103516f, 0.110107f, 0.116821f, 0.123413f, 0.130371f, 0.137329f, + 0.144165f, 0.151733f, 0.158813f, 0.166382f, 0.174438f, 0.182129f, 0.190063f, 0.197510f, + 0.206055f, 0.214355f, 0.222778f, 0.231812f, 0.240723f, 0.249023f, 0.258789f, 0.267578f, + 0.276855f, 0.285889f, 0.295654f, 0.305420f, 0.315430f, 0.324463f, 0.334961f, 0.345215f, + 0.354492f, 0.365234f, 0.376221f, 0.387451f, 0.398926f, 0.409424f, 0.419678f, 0.432129f, + 0.443848f, 0.455566f, 0.693848f, 0.697266f, 0.691895f, 0.686523f, 0.680176f, 0.674805f, + 0.002542f, 0.007271f, 0.012337f, 0.017181f, 0.021744f, 0.026840f, 0.031555f, 0.037231f, + 0.042236f, 0.046906f, 0.051941f, 0.057709f, 0.063049f, 0.068542f, 0.073853f, 0.079712f, + 0.085266f, 0.091064f, 0.096985f, 0.103027f, 0.109009f, 0.115417f, 0.122192f, 0.128540f, + 0.135132f, 0.141846f, 0.148926f, 0.156250f, 0.163696f, 0.171387f, 0.178223f, 0.186035f, + 0.194580f, 0.202271f, 0.210327f, 0.218994f, 0.227173f, 0.235596f, 0.244385f, 0.252930f, + 0.262451f, 0.271240f, 0.280762f, 0.290771f, 0.299805f, 0.309082f, 0.318359f, 0.329102f, + 0.338623f, 0.348633f, 0.358643f, 0.370117f, 0.379639f, 0.390869f, 0.401611f, 0.413330f, + 0.425293f, 0.436523f, 0.682129f, 0.688477f, 0.684082f, 0.678711f, 0.673340f, 0.667969f, + 0.002300f, 0.007076f, 0.011505f, 0.016251f, 0.020401f, 0.025665f, 0.029816f, 0.034790f, + 0.039368f, 0.044159f, 0.048798f, 0.053955f, 0.059174f, 0.064148f, 0.069153f, 0.074463f, + 0.079346f, 0.085266f, 0.090759f, 0.096191f, 0.102112f, 0.108032f, 0.114075f, 0.120117f, + 0.126587f, 0.133057f, 0.139648f, 0.146240f, 0.153442f, 0.160400f, 0.167725f, 0.174683f, + 0.182739f, 0.190308f, 0.198120f, 0.206177f, 0.214355f, 0.222656f, 0.230713f, 0.239258f, + 0.248413f, 0.257080f, 0.265869f, 0.274658f, 0.284424f, 0.292725f, 0.302490f, 0.313232f, + 0.321777f, 0.331787f, 0.341797f, 0.352295f, 0.363281f, 0.373535f, 0.383545f, 0.395264f, + 0.405762f, 0.416992f, 0.671387f, 0.679688f, 0.675293f, 0.670898f, 0.666016f, 0.661133f, + 0.002104f, 0.006474f, 0.010506f, 0.015099f, 0.018875f, 0.023911f, 0.028534f, 0.032715f, + 0.036652f, 0.041290f, 0.046021f, 0.050171f, 0.054535f, 0.059570f, 0.064575f, 0.069458f, + 0.074341f, 0.079346f, 0.084351f, 0.089844f, 0.095032f, 0.100830f, 0.106628f, 0.112122f, + 0.117859f, 0.124084f, 0.130249f, 0.136841f, 0.143188f, 0.149780f, 0.157349f, 0.163940f, + 0.171021f, 0.178345f, 0.186279f, 0.193848f, 0.201172f, 0.209717f, 0.217529f, 0.225464f, + 0.233765f, 0.242676f, 0.251221f, 0.260254f, 0.268311f, 0.278076f, 0.287109f, 0.296143f, + 0.305908f, 0.315674f, 0.325195f, 0.335449f, 0.344971f, 0.355469f, 0.365967f, 0.377441f, + 0.387939f, 0.398193f, 0.660645f, 0.670410f, 0.667969f, 0.663086f, 0.659180f, 0.654785f, + 0.002085f, 0.006306f, 0.010506f, 0.014107f, 0.018448f, 0.022293f, 0.026215f, 0.029953f, + 0.034515f, 0.038391f, 0.042786f, 0.046844f, 0.051361f, 0.055573f, 0.059784f, 0.064331f, + 0.068970f, 0.073425f, 0.078430f, 0.083313f, 0.088318f, 0.093567f, 0.098816f, 0.104126f, + 0.109924f, 0.115662f, 0.121521f, 0.127197f, 0.133545f, 0.139771f, 0.146729f, 0.153076f, + 0.160278f, 0.166992f, 0.174316f, 0.181274f, 0.188965f, 0.196045f, 0.204468f, 0.212036f, + 0.220459f, 0.228638f, 0.237183f, 0.245483f, 0.254150f, 0.262451f, 0.271484f, 0.281250f, + 0.290283f, 0.299561f, 0.308350f, 0.318115f, 0.328369f, 0.337158f, 0.349121f, 0.358887f, + 0.370117f, 0.380615f, 0.649414f, 0.661133f, 0.659668f, 0.655762f, 0.651855f, 0.647949f, + 0.001922f, 0.005867f, 0.009399f, 0.013565f, 0.017380f, 0.020859f, 0.024551f, 0.028442f, + 0.032318f, 0.035980f, 0.039551f, 0.043488f, 0.047333f, 0.051239f, 0.055573f, 0.059875f, + 0.063660f, 0.067810f, 0.072876f, 0.077087f, 0.081726f, 0.086304f, 0.091370f, 0.096863f, + 0.101746f, 0.107483f, 0.112732f, 0.117920f, 0.124329f, 0.130005f, 0.136108f, 0.142822f, + 0.149170f, 0.155396f, 0.162598f, 0.169434f, 0.176636f, 0.183838f, 0.191772f, 0.198975f, + 0.206665f, 0.214478f, 0.222290f, 0.230835f, 0.239258f, 0.247803f, 0.256836f, 0.264893f, + 0.274414f, 0.283203f, 0.292725f, 0.301758f, 0.311035f, 0.321289f, 0.332275f, 0.340820f, + 0.351562f, 0.363037f, 0.637695f, 0.652832f, 0.651367f, 0.647949f, 0.644531f, 0.641602f, + 0.002052f, 0.005253f, 0.009117f, 0.012482f, 0.016113f, 0.019302f, 0.022842f, 0.026230f, + 0.029831f, 0.033447f, 0.036682f, 0.040588f, 0.044189f, 0.047333f, 0.051178f, 0.055267f, + 0.058807f, 0.062683f, 0.067200f, 0.070984f, 0.075195f, 0.079895f, 0.084534f, 0.088806f, + 0.093933f, 0.098999f, 0.104309f, 0.109619f, 0.114807f, 0.120422f, 0.126587f, 0.132080f, + 0.138550f, 0.144775f, 0.151245f, 0.157837f, 0.164551f, 0.171387f, 0.178467f, 0.186157f, + 0.193359f, 0.201294f, 0.208740f, 0.216797f, 0.224854f, 0.233398f, 0.241211f, 0.250000f, + 0.258545f, 0.267822f, 0.276855f, 0.286133f, 0.295410f, 0.304932f, 0.314697f, 0.324463f, + 0.334229f, 0.344238f, 0.626953f, 0.642578f, 0.643066f, 0.641113f, 0.637695f, 0.634277f, + 0.001711f, 0.005424f, 0.008347f, 0.012024f, 0.014977f, 0.018066f, 0.021500f, 0.024399f, + 0.027756f, 0.030869f, 0.034058f, 0.037048f, 0.040558f, 0.044006f, 0.046906f, 0.050690f, + 0.054169f, 0.057983f, 0.061584f, 0.065247f, 0.069336f, 0.073425f, 0.077576f, 0.082092f, + 0.086670f, 0.091064f, 0.095886f, 0.101196f, 0.105957f, 0.111267f, 0.116943f, 0.122559f, + 0.128174f, 0.133789f, 0.140259f, 0.146118f, 0.153076f, 0.159424f, 0.166016f, 0.173462f, + 0.180542f, 0.187744f, 0.195435f, 0.203003f, 0.209961f, 0.218994f, 0.226562f, 0.234619f, + 0.243286f, 0.251709f, 0.260742f, 0.269531f, 0.277832f, 0.287354f, 0.297363f, 0.306885f, + 0.316406f, 0.326660f, 0.615234f, 0.633789f, 0.634277f, 0.632812f, 0.630371f, 0.626953f, + 0.001721f, 0.004829f, 0.008034f, 0.010857f, 0.013893f, 0.016953f, 0.019806f, 0.022705f, + 0.025589f, 0.028793f, 0.031616f, 0.034180f, 0.036926f, 0.039978f, 0.043213f, 0.046356f, + 0.049744f, 0.052887f, 0.056305f, 0.059906f, 0.063416f, 0.067322f, 0.070862f, 0.075134f, + 0.079285f, 0.083435f, 0.088074f, 0.092712f, 0.097534f, 0.102173f, 0.107544f, 0.112305f, + 0.118225f, 0.123657f, 0.129272f, 0.135376f, 0.141602f, 0.147705f, 0.153931f, 0.160889f, + 0.167847f, 0.174683f, 0.181885f, 0.189209f, 0.196533f, 0.204224f, 0.212524f, 0.219727f, + 0.228271f, 0.236572f, 0.245483f, 0.253418f, 0.261719f, 0.270996f, 0.280029f, 0.289307f, + 0.300537f, 0.309326f, 0.604004f, 0.625000f, 0.626953f, 0.625000f, 0.622559f, 0.620117f, + 0.001624f, 0.004730f, 0.007412f, 0.010300f, 0.013199f, 0.015717f, 0.018448f, 0.020935f, + 0.023163f, 0.026138f, 0.028687f, 0.031204f, 0.033875f, 0.036743f, 0.039825f, 0.042389f, + 0.045166f, 0.048523f, 0.051422f, 0.054535f, 0.057953f, 0.061249f, 0.064880f, 0.068542f, + 0.072388f, 0.076355f, 0.080505f, 0.084534f, 0.089294f, 0.093750f, 0.098389f, 0.103210f, + 0.108337f, 0.113647f, 0.118896f, 0.124817f, 0.130737f, 0.135986f, 0.142212f, 0.148560f, + 0.155151f, 0.162109f, 0.168579f, 0.175415f, 0.183105f, 0.190552f, 0.197998f, 0.205322f, + 0.213623f, 0.221436f, 0.229370f, 0.237915f, 0.246216f, 0.254883f, 0.264160f, 0.273438f, + 0.282471f, 0.292236f, 0.593262f, 0.615723f, 0.618164f, 0.617188f, 0.615234f, 0.612793f, + 0.001355f, 0.004463f, 0.007061f, 0.009506f, 0.011612f, 0.014381f, 0.016830f, 0.019394f, + 0.021576f, 0.023697f, 0.026428f, 0.028778f, 0.030975f, 0.033386f, 0.035950f, 0.038513f, + 0.041260f, 0.044067f, 0.046967f, 0.049622f, 0.052612f, 0.055847f, 0.059052f, 0.062164f, + 0.065918f, 0.069397f, 0.073242f, 0.077271f, 0.081055f, 0.085327f, 0.089661f, 0.094177f, + 0.098877f, 0.103455f, 0.108582f, 0.113647f, 0.119812f, 0.125000f, 0.130981f, 0.137085f, + 0.142944f, 0.149414f, 0.156006f, 0.162354f, 0.169434f, 0.176514f, 0.183716f, 0.191284f, + 0.198975f, 0.206421f, 0.214844f, 0.222412f, 0.231323f, 0.238647f, 0.247437f, 0.256592f, + 0.265625f, 0.276367f, 0.581055f, 0.606445f, 0.609863f, 0.608887f, 0.607910f, 0.606445f, + 0.001413f, 0.004128f, 0.006180f, 0.008781f, 0.010994f, 0.013496f, 0.015427f, 0.017654f, + 0.019684f, 0.021881f, 0.024139f, 0.025879f, 0.028137f, 0.030334f, 0.032471f, 0.034821f, + 0.037354f, 0.039642f, 0.042236f, 0.044708f, 0.047394f, 0.050079f, 0.053223f, 0.056244f, + 0.059479f, 0.062622f, 0.066223f, 0.069946f, 0.073608f, 0.077209f, 0.081604f, 0.085632f, + 0.089722f, 0.094360f, 0.098999f, 0.103943f, 0.108826f, 0.114319f, 0.119568f, 0.125122f, + 0.131104f, 0.137085f, 0.143433f, 0.150024f, 0.156494f, 0.163330f, 0.170044f, 0.177490f, + 0.184326f, 0.191895f, 0.199707f, 0.207764f, 0.215698f, 0.223755f, 0.231812f, 0.240845f, + 0.249756f, 0.258789f, 0.568848f, 0.598145f, 0.601562f, 0.600586f, 0.600586f, 0.599121f, + 0.001182f, 0.003773f, 0.005970f, 0.008293f, 0.010277f, 0.012512f, 0.014030f, 0.016129f, + 0.017929f, 0.019791f, 0.021683f, 0.023590f, 0.025452f, 0.027328f, 0.029404f, 0.031677f, + 0.033539f, 0.035583f, 0.037903f, 0.040314f, 0.042877f, 0.045319f, 0.048126f, 0.050690f, + 0.053436f, 0.056519f, 0.059723f, 0.062744f, 0.066284f, 0.069702f, 0.073608f, 0.077209f, + 0.081055f, 0.085754f, 0.089783f, 0.094421f, 0.099060f, 0.103821f, 0.109192f, 0.114563f, + 0.119934f, 0.125488f, 0.131104f, 0.137695f, 0.144043f, 0.149780f, 0.156738f, 0.163940f, + 0.170654f, 0.177856f, 0.185181f, 0.192871f, 0.200439f, 0.208740f, 0.216675f, 0.225342f, + 0.233521f, 0.242554f, 0.557617f, 0.587891f, 0.592285f, 0.592773f, 0.592285f, 0.592285f, + 0.001198f, 0.003677f, 0.005547f, 0.007561f, 0.009468f, 0.011253f, 0.012833f, 0.014465f, + 0.016205f, 0.017792f, 0.019394f, 0.021240f, 0.022751f, 0.024475f, 0.026260f, 0.028015f, + 0.030136f, 0.031708f, 0.034088f, 0.036102f, 0.038361f, 0.040497f, 0.042816f, 0.045288f, + 0.047882f, 0.050476f, 0.053284f, 0.056183f, 0.059174f, 0.062500f, 0.065796f, 0.069153f, + 0.072998f, 0.076904f, 0.080994f, 0.085083f, 0.089478f, 0.094116f, 0.098633f, 0.103394f, + 0.108704f, 0.113953f, 0.119934f, 0.125366f, 0.131348f, 0.137329f, 0.143555f, 0.150391f, + 0.157227f, 0.163818f, 0.170776f, 0.178467f, 0.185791f, 0.193359f, 0.201538f, 0.209717f, + 0.218018f, 0.226807f, 0.544922f, 0.578613f, 0.583984f, 0.584961f, 0.585449f, 0.584473f, + 0.001067f, 0.003101f, 0.004974f, 0.006855f, 0.008522f, 0.009949f, 0.011635f, 0.012985f, + 0.014595f, 0.016052f, 0.017685f, 0.019012f, 0.020264f, 0.021851f, 0.023346f, 0.025146f, + 0.026688f, 0.028336f, 0.030304f, 0.031860f, 0.034119f, 0.035889f, 0.038025f, 0.040283f, + 0.042450f, 0.044952f, 0.047302f, 0.050049f, 0.052765f, 0.055908f, 0.058594f, 0.061859f, + 0.064880f, 0.068481f, 0.072327f, 0.076172f, 0.080200f, 0.084290f, 0.088684f, 0.093262f, + 0.098145f, 0.102905f, 0.108337f, 0.113708f, 0.119080f, 0.125000f, 0.131348f, 0.137329f, + 0.143921f, 0.150391f, 0.157593f, 0.164551f, 0.171753f, 0.179077f, 0.186768f, 0.194702f, + 0.203003f, 0.210815f, 0.534180f, 0.569336f, 0.575684f, 0.577637f, 0.577637f, 0.577148f, + 0.001196f, 0.003178f, 0.004601f, 0.006241f, 0.007782f, 0.009262f, 0.010391f, 0.011795f, + 0.012955f, 0.014198f, 0.015518f, 0.016785f, 0.018097f, 0.019409f, 0.020782f, 0.022247f, + 0.023544f, 0.025269f, 0.026749f, 0.028152f, 0.030045f, 0.031555f, 0.033630f, 0.035645f, + 0.037567f, 0.039642f, 0.041992f, 0.044281f, 0.046692f, 0.049042f, 0.052094f, 0.054779f, + 0.057831f, 0.060760f, 0.064209f, 0.067627f, 0.071228f, 0.075256f, 0.079224f, 0.083557f, + 0.087891f, 0.092468f, 0.097168f, 0.102356f, 0.107605f, 0.113098f, 0.119019f, 0.124878f, + 0.130859f, 0.137451f, 0.144287f, 0.150635f, 0.157471f, 0.164917f, 0.171997f, 0.179932f, + 0.187378f, 0.196899f, 0.521973f, 0.560547f, 0.566895f, 0.569824f, 0.570312f, 0.568848f, + 0.001242f, 0.002674f, 0.004421f, 0.005573f, 0.006882f, 0.008354f, 0.009491f, 0.010559f, + 0.011406f, 0.012695f, 0.013893f, 0.014908f, 0.015854f, 0.017044f, 0.018234f, 0.019501f, + 0.020752f, 0.022003f, 0.023254f, 0.024689f, 0.026154f, 0.027802f, 0.029434f, 0.031113f, + 0.032898f, 0.034668f, 0.036774f, 0.038910f, 0.040802f, 0.043030f, 0.045593f, 0.048065f, + 0.050873f, 0.053680f, 0.056458f, 0.059692f, 0.062866f, 0.066467f, 0.069946f, 0.074036f, + 0.077942f, 0.082275f, 0.086731f, 0.091614f, 0.096313f, 0.101562f, 0.106934f, 0.112671f, + 0.118591f, 0.124634f, 0.130859f, 0.137207f, 0.144043f, 0.151123f, 0.157593f, 0.165283f, + 0.173218f, 0.180664f, 0.510254f, 0.550781f, 0.558105f, 0.561035f, 0.562012f, 0.562012f, + 0.000842f, 0.002552f, 0.003769f, 0.005333f, 0.006149f, 0.007298f, 0.008362f, 0.009224f, + 0.010254f, 0.011230f, 0.012108f, 0.013092f, 0.014000f, 0.014992f, 0.016006f, 0.016953f, + 0.017990f, 0.019196f, 0.020142f, 0.021622f, 0.022827f, 0.024216f, 0.025513f, 0.026993f, + 0.028564f, 0.030212f, 0.032013f, 0.033813f, 0.035706f, 0.037598f, 0.039703f, 0.041840f, + 0.044159f, 0.046539f, 0.049347f, 0.052155f, 0.055084f, 0.058228f, 0.061554f, 0.065002f, + 0.068909f, 0.072693f, 0.076599f, 0.081238f, 0.085388f, 0.090515f, 0.095764f, 0.100891f, + 0.106689f, 0.112366f, 0.118103f, 0.124634f, 0.130859f, 0.137573f, 0.144287f, 0.151855f, + 0.158447f, 0.166260f, 0.498535f, 0.541992f, 0.549805f, 0.553711f, 0.554199f, 0.554688f, + 0.000874f, 0.002186f, 0.003445f, 0.004807f, 0.005562f, 0.006607f, 0.007378f, 0.008102f, + 0.008919f, 0.009666f, 0.010513f, 0.011131f, 0.012039f, 0.012848f, 0.013779f, 0.014671f, + 0.015465f, 0.016464f, 0.017517f, 0.018585f, 0.019730f, 0.020798f, 0.022018f, 0.023300f, + 0.024612f, 0.026093f, 0.027374f, 0.029022f, 0.030624f, 0.032440f, 0.034180f, 0.036285f, + 0.038116f, 0.040344f, 0.042725f, 0.045349f, 0.047913f, 0.050476f, 0.053406f, 0.056488f, + 0.059998f, 0.063354f, 0.067383f, 0.071289f, 0.075562f, 0.079834f, 0.084656f, 0.089478f, + 0.094849f, 0.100342f, 0.106140f, 0.111877f, 0.118042f, 0.124573f, 0.130981f, 0.137451f, + 0.144653f, 0.152588f, 0.486816f, 0.531738f, 0.541016f, 0.545410f, 0.547363f, 0.546875f, + 0.000667f, 0.002001f, 0.003244f, 0.003895f, 0.004936f, 0.005608f, 0.006477f, 0.006901f, + 0.007648f, 0.008354f, 0.009132f, 0.009766f, 0.010490f, 0.011177f, 0.011780f, 0.012543f, + 0.013420f, 0.014084f, 0.015045f, 0.015961f, 0.016876f, 0.017822f, 0.018768f, 0.019958f, + 0.021255f, 0.022232f, 0.023560f, 0.024780f, 0.026108f, 0.027634f, 0.029221f, 0.030762f, + 0.032684f, 0.034576f, 0.036621f, 0.038605f, 0.040985f, 0.043488f, 0.046021f, 0.049042f, + 0.051727f, 0.054901f, 0.058441f, 0.061981f, 0.065552f, 0.069885f, 0.074097f, 0.078857f, + 0.083923f, 0.088623f, 0.094360f, 0.099854f, 0.105957f, 0.111694f, 0.118164f, 0.124817f, + 0.131836f, 0.138794f, 0.474365f, 0.522949f, 0.532227f, 0.536621f, 0.538574f, 0.539062f, + 0.000876f, 0.002020f, 0.002857f, 0.003855f, 0.004436f, 0.005009f, 0.005482f, 0.006130f, + 0.006588f, 0.007084f, 0.007656f, 0.008286f, 0.008949f, 0.009506f, 0.010025f, 0.010803f, + 0.011444f, 0.012047f, 0.012802f, 0.013512f, 0.014305f, 0.015282f, 0.016052f, 0.016846f, + 0.017914f, 0.018829f, 0.019882f, 0.021027f, 0.022232f, 0.023453f, 0.024689f, 0.026169f, + 0.027573f, 0.029327f, 0.031036f, 0.032806f, 0.034882f, 0.036743f, 0.039032f, 0.041626f, + 0.044312f, 0.046936f, 0.050018f, 0.053253f, 0.056610f, 0.060272f, 0.064392f, 0.068542f, + 0.072937f, 0.078003f, 0.082886f, 0.088318f, 0.093933f, 0.099670f, 0.106140f, 0.112000f, + 0.118713f, 0.125732f, 0.463135f, 0.513672f, 0.524414f, 0.528809f, 0.530762f, 0.532227f, + 0.000573f, 0.001698f, 0.002670f, 0.003082f, 0.003735f, 0.004318f, 0.004673f, 0.005161f, + 0.005779f, 0.006203f, 0.006565f, 0.007015f, 0.007591f, 0.007965f, 0.008583f, 0.009094f, + 0.009491f, 0.010239f, 0.010780f, 0.011353f, 0.012047f, 0.012787f, 0.013504f, 0.014206f, + 0.015060f, 0.015915f, 0.016708f, 0.017685f, 0.018677f, 0.019653f, 0.020828f, 0.021866f, + 0.023224f, 0.024445f, 0.025818f, 0.027557f, 0.029114f, 0.030991f, 0.032928f, 0.035034f, + 0.037201f, 0.039581f, 0.042328f, 0.045166f, 0.048157f, 0.051392f, 0.054962f, 0.058685f, + 0.062988f, 0.067444f, 0.072021f, 0.077148f, 0.082520f, 0.088196f, 0.093750f, 0.100403f, + 0.106201f, 0.112976f, 0.450928f, 0.503906f, 0.515137f, 0.520020f, 0.522949f, 0.524414f, + 0.000643f, 0.001637f, 0.002197f, 0.002800f, 0.003376f, 0.003613f, 0.003914f, 0.004391f, + 0.004742f, 0.005150f, 0.005466f, 0.005924f, 0.006344f, 0.006645f, 0.007046f, 0.007591f, + 0.008118f, 0.008560f, 0.008934f, 0.009529f, 0.010147f, 0.010651f, 0.011276f, 0.011787f, + 0.012543f, 0.013229f, 0.013916f, 0.014740f, 0.015564f, 0.016388f, 0.017258f, 0.018188f, + 0.019257f, 0.020355f, 0.021729f, 0.022766f, 0.024277f, 0.025696f, 0.027237f, 0.029022f, + 0.030945f, 0.033020f, 0.035248f, 0.037689f, 0.040405f, 0.043182f, 0.046295f, 0.049866f, + 0.053528f, 0.057526f, 0.061920f, 0.066284f, 0.071716f, 0.077209f, 0.082703f, 0.088196f, + 0.094177f, 0.101074f, 0.438965f, 0.494629f, 0.507324f, 0.512207f, 0.515137f, 0.516113f, + 0.000484f, 0.001272f, 0.001968f, 0.002327f, 0.002573f, 0.003054f, 0.003338f, 0.003660f, + 0.003906f, 0.004303f, 0.004658f, 0.004921f, 0.005222f, 0.005547f, 0.005878f, 0.006290f, + 0.006542f, 0.007015f, 0.007442f, 0.007851f, 0.008339f, 0.008713f, 0.009247f, 0.009811f, + 0.010345f, 0.010849f, 0.011490f, 0.012123f, 0.012733f, 0.013428f, 0.014183f, 0.014961f, + 0.015839f, 0.016815f, 0.017731f, 0.018768f, 0.019821f, 0.021072f, 0.022385f, 0.023727f, + 0.025345f, 0.027084f, 0.028946f, 0.030914f, 0.033295f, 0.035614f, 0.038513f, 0.041473f, + 0.044678f, 0.048462f, 0.052338f, 0.056671f, 0.061310f, 0.066101f, 0.071533f, 0.077148f, + 0.083069f, 0.089172f, 0.427246f, 0.485352f, 0.498535f, 0.503906f, 0.508301f, 0.509766f, + 0.000416f, 0.001121f, 0.001410f, 0.001959f, 0.002159f, 0.002558f, 0.002724f, 0.002939f, + 0.003220f, 0.003447f, 0.003733f, 0.003944f, 0.004219f, 0.004578f, 0.004810f, 0.005100f, + 0.005402f, 0.005783f, 0.006077f, 0.006382f, 0.006729f, 0.007141f, 0.007526f, 0.007965f, + 0.008354f, 0.008858f, 0.009300f, 0.009789f, 0.010452f, 0.010986f, 0.011658f, 0.012131f, + 0.012833f, 0.013702f, 0.014435f, 0.015266f, 0.016113f, 0.017136f, 0.018143f, 0.019241f, + 0.020493f, 0.021820f, 0.023346f, 0.025085f, 0.027023f, 0.028976f, 0.031174f, 0.033966f, + 0.036743f, 0.039856f, 0.043396f, 0.047180f, 0.051605f, 0.056152f, 0.061127f, 0.066284f, + 0.072021f, 0.078247f, 0.415283f, 0.475586f, 0.490234f, 0.496338f, 0.499756f, 0.501953f, + 0.000493f, 0.001126f, 0.001391f, 0.001574f, 0.001786f, 0.002073f, 0.002188f, 0.002417f, + 0.002657f, 0.002785f, 0.002964f, 0.003189f, 0.003384f, 0.003687f, 0.003859f, 0.004124f, + 0.004330f, 0.004555f, 0.004890f, 0.005119f, 0.005451f, 0.005749f, 0.006054f, 0.006348f, + 0.006683f, 0.007050f, 0.007458f, 0.007889f, 0.008339f, 0.008751f, 0.009323f, 0.009766f, + 0.010353f, 0.010887f, 0.011520f, 0.012192f, 0.012932f, 0.013748f, 0.014542f, 0.015434f, + 0.016434f, 0.017471f, 0.018723f, 0.019989f, 0.021500f, 0.023117f, 0.024948f, 0.027100f, + 0.029770f, 0.032166f, 0.035248f, 0.038696f, 0.042633f, 0.046875f, 0.051605f, 0.056427f, + 0.061859f, 0.067688f, 0.403320f, 0.467041f, 0.480957f, 0.487793f, 0.491699f, 0.494385f, + 0.000336f, 0.000673f, 0.001150f, 0.001274f, 0.001482f, 0.001630f, 0.001748f, 0.001904f, + 0.002087f, 0.002232f, 0.002306f, 0.002497f, 0.002672f, 0.002872f, 0.003092f, 0.003225f, + 0.003387f, 0.003553f, 0.003819f, 0.003979f, 0.004230f, 0.004517f, 0.004738f, 0.005016f, + 0.005322f, 0.005569f, 0.005848f, 0.006184f, 0.006573f, 0.006851f, 0.007271f, 0.007660f, + 0.008064f, 0.008568f, 0.009048f, 0.009567f, 0.010139f, 0.010788f, 0.011391f, 0.012161f, + 0.012939f, 0.013763f, 0.014694f, 0.015717f, 0.016815f, 0.018097f, 0.019714f, 0.021149f, + 0.023270f, 0.025421f, 0.028015f, 0.030991f, 0.034271f, 0.038116f, 0.042328f, 0.046997f, + 0.052094f, 0.057770f, 0.391113f, 0.457031f, 0.472412f, 0.479736f, 0.484375f, 0.486816f, + 0.000309f, 0.000612f, 0.000953f, 0.001086f, 0.001191f, 0.001281f, 0.001351f, 0.001442f, + 0.001610f, 0.001733f, 0.001783f, 0.001991f, 0.002087f, 0.002232f, 0.002337f, 0.002495f, + 0.002611f, 0.002775f, 0.002935f, 0.003101f, 0.003302f, 0.003496f, 0.003622f, 0.003839f, + 0.004047f, 0.004265f, 0.004494f, 0.004738f, 0.005039f, 0.005272f, 0.005650f, 0.005898f, + 0.006210f, 0.006588f, 0.006950f, 0.007332f, 0.007782f, 0.008240f, 0.008766f, 0.009331f, + 0.009964f, 0.010612f, 0.011314f, 0.012062f, 0.013023f, 0.014038f, 0.015007f, 0.016251f, + 0.017761f, 0.019501f, 0.021530f, 0.023926f, 0.026718f, 0.030106f, 0.033905f, 0.038361f, + 0.043060f, 0.048370f, 0.379395f, 0.446777f, 0.464111f, 0.471191f, 0.475586f, 0.479492f, + 0.000439f, 0.000476f, 0.000672f, 0.000752f, 0.000810f, 0.000949f, 0.001011f, 0.001121f, + 0.001160f, 0.001249f, 0.001408f, 0.001493f, 0.001591f, 0.001719f, 0.001788f, 0.001845f, + 0.001982f, 0.002106f, 0.002201f, 0.002357f, 0.002460f, 0.002598f, 0.002724f, 0.002869f, + 0.003036f, 0.003187f, 0.003397f, 0.003569f, 0.003763f, 0.004017f, 0.004211f, 0.004414f, + 0.004704f, 0.004890f, 0.005234f, 0.005524f, 0.005825f, 0.006187f, 0.006535f, 0.006977f, + 0.007423f, 0.007874f, 0.008553f, 0.009079f, 0.009857f, 0.010567f, 0.011360f, 0.012306f, + 0.013390f, 0.014702f, 0.016220f, 0.017960f, 0.020157f, 0.022995f, 0.026352f, 0.030212f, + 0.034790f, 0.039459f, 0.368408f, 0.437744f, 0.455322f, 0.463379f, 0.468018f, 0.471436f, + 0.000202f, 0.000437f, 0.000488f, 0.000579f, 0.000664f, 0.000692f, 0.000792f, 0.000762f, + 0.000875f, 0.000949f, 0.001038f, 0.001068f, 0.001116f, 0.001196f, 0.001300f, 0.001352f, + 0.001458f, 0.001529f, 0.001623f, 0.001667f, 0.001770f, 0.001884f, 0.001989f, 0.002071f, + 0.002203f, 0.002310f, 0.002445f, 0.002556f, 0.002680f, 0.002876f, 0.002991f, 0.003206f, + 0.003365f, 0.003531f, 0.003759f, 0.003956f, 0.004227f, 0.004513f, 0.004768f, 0.005074f, + 0.005402f, 0.005756f, 0.006142f, 0.006603f, 0.007160f, 0.007645f, 0.008339f, 0.008987f, + 0.009819f, 0.010780f, 0.011803f, 0.013153f, 0.014763f, 0.016876f, 0.019623f, 0.022995f, + 0.026978f, 0.031708f, 0.356445f, 0.428223f, 0.446533f, 0.455078f, 0.460449f, 0.463379f, + 0.000126f, 0.000241f, 0.000344f, 0.000353f, 0.000437f, 0.000522f, 0.000513f, 0.000552f, + 0.000613f, 0.000699f, 0.000717f, 0.000727f, 0.000763f, 0.000848f, 0.000877f, 0.000956f, + 0.000963f, 0.001068f, 0.001128f, 0.001170f, 0.001238f, 0.001311f, 0.001385f, 0.001454f, + 0.001534f, 0.001603f, 0.001714f, 0.001779f, 0.001885f, 0.002016f, 0.002092f, 0.002214f, + 0.002331f, 0.002460f, 0.002613f, 0.002777f, 0.002924f, 0.003120f, 0.003298f, 0.003496f, + 0.003708f, 0.004009f, 0.004292f, 0.004601f, 0.004951f, 0.005341f, 0.005772f, 0.006260f, + 0.006901f, 0.007572f, 0.008324f, 0.009300f, 0.010445f, 0.011848f, 0.013870f, 0.016678f, + 0.020218f, 0.024536f, 0.345703f, 0.419189f, 0.437500f, 0.447021f, 0.452393f, 0.455811f, + 0.000146f, 0.000240f, 0.000268f, 0.000268f, 0.000310f, 0.000311f, 0.000331f, 0.000366f, + 0.000410f, 0.000447f, 0.000446f, 0.000517f, 0.000511f, 0.000571f, 0.000596f, 0.000618f, + 0.000674f, 0.000691f, 0.000723f, 0.000762f, 0.000822f, 0.000856f, 0.000912f, 0.000950f, + 0.001014f, 0.001049f, 0.001128f, 0.001188f, 0.001237f, 0.001303f, 0.001371f, 0.001466f, + 0.001532f, 0.001623f, 0.001701f, 0.001805f, 0.001945f, 0.002035f, 0.002186f, 0.002329f, + 0.002460f, 0.002632f, 0.002819f, 0.003012f, 0.003271f, 0.003550f, 0.003819f, 0.004162f, + 0.004539f, 0.005024f, 0.005585f, 0.006233f, 0.007050f, 0.008072f, 0.009331f, 0.011269f, + 0.014160f, 0.018112f, 0.333740f, 0.408447f, 0.428711f, 0.438232f, 0.443359f, 0.447510f, + 0.000053f, 0.000163f, 0.000155f, 0.000160f, 0.000191f, 0.000228f, 0.000206f, 0.000233f, + 0.000248f, 0.000263f, 0.000267f, 0.000294f, 0.000324f, 0.000335f, 0.000364f, 0.000378f, + 0.000396f, 0.000435f, 0.000445f, 0.000490f, 0.000502f, 0.000522f, 0.000543f, 0.000582f, + 0.000619f, 0.000665f, 0.000679f, 0.000705f, 0.000755f, 0.000797f, 0.000856f, 0.000887f, + 0.000953f, 0.000988f, 0.001043f, 0.001103f, 0.001177f, 0.001256f, 0.001331f, 0.001410f, + 0.001508f, 0.001612f, 0.001734f, 0.001873f, 0.001999f, 0.002163f, 0.002378f, 0.002565f, + 0.002827f, 0.003119f, 0.003479f, 0.003899f, 0.004463f, 0.005116f, 0.005951f, 0.007153f, + 0.009163f, 0.012535f, 0.322510f, 0.400146f, 0.420654f, 0.430176f, 0.436523f, 0.440430f, + 0.000097f, 0.000107f, 0.000095f, 0.000087f, 0.000107f, 0.000110f, 0.000137f, 0.000139f, + 0.000140f, 0.000147f, 0.000168f, 0.000175f, 0.000177f, 0.000184f, 0.000210f, 0.000200f, + 0.000224f, 0.000239f, 0.000246f, 0.000258f, 0.000278f, 0.000288f, 0.000312f, 0.000324f, + 0.000347f, 0.000368f, 0.000382f, 0.000395f, 0.000418f, 0.000440f, 0.000471f, 0.000495f, + 0.000521f, 0.000547f, 0.000577f, 0.000620f, 0.000649f, 0.000695f, 0.000749f, 0.000785f, + 0.000838f, 0.000897f, 0.000972f, 0.001028f, 0.001118f, 0.001204f, 0.001316f, 0.001432f, + 0.001580f, 0.001748f, 0.001961f, 0.002207f, 0.002533f, 0.002941f, 0.003487f, 0.004223f, + 0.005371f, 0.007809f, 0.311523f, 0.390381f, 0.411377f, 0.421875f, 0.428467f, 0.432617f, + 0.000000f, 0.000055f, 0.000046f, 0.000054f, 0.000060f, 0.000058f, 0.000060f, 0.000068f, + 0.000068f, 0.000082f, 0.000076f, 0.000078f, 0.000092f, 0.000087f, 0.000091f, 0.000097f, + 0.000105f, 0.000115f, 0.000118f, 0.000124f, 0.000128f, 0.000133f, 0.000139f, 0.000154f, + 0.000160f, 0.000172f, 0.000175f, 0.000191f, 0.000201f, 0.000211f, 0.000221f, 0.000238f, + 0.000242f, 0.000257f, 0.000277f, 0.000295f, 0.000309f, 0.000326f, 0.000351f, 0.000375f, + 0.000400f, 0.000428f, 0.000459f, 0.000490f, 0.000535f, 0.000579f, 0.000626f, 0.000683f, + 0.000754f, 0.000836f, 0.000952f, 0.001064f, 0.001237f, 0.001460f, 0.001751f, 0.002157f, + 0.002800f, 0.004189f, 0.299561f, 0.380127f, 0.403076f, 0.413574f, 0.419922f, 0.424072f, + 0.000059f, 0.000039f, 0.000032f, 0.000028f, 0.000025f, 0.000025f, 0.000025f, 0.000024f, + 0.000023f, 0.000024f, 0.000026f, 0.000034f, 0.000029f, 0.000031f, 0.000038f, 0.000040f, + 0.000042f, 0.000043f, 0.000042f, 0.000043f, 0.000048f, 0.000054f, 0.000058f, 0.000056f, + 0.000060f, 0.000062f, 0.000066f, 0.000069f, 0.000072f, 0.000078f, 0.000082f, 0.000085f, + 0.000093f, 0.000096f, 0.000099f, 0.000106f, 0.000116f, 0.000123f, 0.000132f, 0.000140f, + 0.000150f, 0.000154f, 0.000167f, 0.000184f, 0.000192f, 0.000212f, 0.000231f, 0.000251f, + 0.000282f, 0.000314f, 0.000350f, 0.000401f, 0.000463f, 0.000554f, 0.000679f, 0.000861f, + 0.001157f, 0.001750f, 0.289307f, 0.371582f, 0.394043f, 0.406006f, 0.412109f, 0.417236f, + 0.000031f, 0.000020f, 0.000016f, 0.000014f, 0.000013f, 0.000012f, 0.000011f, 0.000011f, + 0.000010f, 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000008f, 0.000008f, 0.000009f, + 0.000009f, 0.000007f, 0.000008f, 0.000008f, 0.000010f, 0.000011f, 0.000012f, 0.000013f, + 0.000013f, 0.000013f, 0.000014f, 0.000017f, 0.000017f, 0.000016f, 0.000018f, 0.000019f, + 0.000021f, 0.000021f, 0.000022f, 0.000025f, 0.000027f, 0.000025f, 0.000028f, 0.000030f, + 0.000033f, 0.000036f, 0.000038f, 0.000040f, 0.000042f, 0.000047f, 0.000052f, 0.000057f, + 0.000060f, 0.000068f, 0.000073f, 0.000089f, 0.000104f, 0.000124f, 0.000153f, 0.000204f, + 0.000293f, 0.000497f, 0.278076f, 0.362793f, 0.385498f, 0.397705f, 0.405029f, 0.409912f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000000f, 0.000000f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000005f, 0.000008f, + 0.000012f, 0.000026f, 0.267822f, 0.353027f, 0.376953f, 0.388916f, 0.395996f, 0.401367f, + }, + { + 0.006824f, 0.021286f, 0.036285f, 0.051208f, 0.066467f, 0.082825f, 0.098694f, 0.114563f, + 0.130737f, 0.146973f, 0.162720f, 0.179932f, 0.196411f, 0.212646f, 0.229370f, 0.246338f, + 0.263184f, 0.279785f, 0.297363f, 0.314209f, 0.331055f, 0.348389f, 0.365479f, 0.383301f, + 0.400146f, 0.417725f, 0.435303f, 0.451904f, 0.469971f, 0.486816f, 0.503906f, 0.521484f, + 0.539551f, 0.556641f, 0.573730f, 0.592285f, 0.609375f, 0.627441f, 0.644531f, 0.662598f, + 0.679688f, 0.696777f, 0.714355f, 0.731934f, 0.749512f, 0.768066f, 0.784180f, 0.802246f, + 0.820312f, 0.837891f, 0.854980f, 0.871582f, 0.889648f, 0.906738f, 0.924805f, 0.941406f, + 0.959473f, 0.976074f, 0.953125f, 0.895020f, 0.857422f, 0.827637f, 0.803223f, 0.781738f, + 0.006741f, 0.020706f, 0.035187f, 0.049866f, 0.065125f, 0.079895f, 0.095581f, 0.111206f, + 0.126953f, 0.142822f, 0.158569f, 0.174561f, 0.190796f, 0.207031f, 0.223511f, 0.239380f, + 0.256104f, 0.272705f, 0.289307f, 0.305664f, 0.322754f, 0.338867f, 0.356201f, 0.372314f, + 0.389404f, 0.406494f, 0.423828f, 0.440430f, 0.457520f, 0.474854f, 0.491211f, 0.508789f, + 0.525391f, 0.541992f, 0.559082f, 0.576660f, 0.594238f, 0.610840f, 0.627930f, 0.645508f, + 0.662598f, 0.679199f, 0.696289f, 0.713379f, 0.731445f, 0.747559f, 0.765137f, 0.782715f, + 0.799805f, 0.816895f, 0.834473f, 0.851074f, 0.868164f, 0.884766f, 0.902344f, 0.919434f, + 0.936523f, 0.953613f, 0.942871f, 0.887695f, 0.851562f, 0.823730f, 0.799805f, 0.779297f, + 0.006504f, 0.020004f, 0.033875f, 0.048676f, 0.063110f, 0.077759f, 0.092712f, 0.108032f, + 0.123230f, 0.138672f, 0.153931f, 0.170044f, 0.185791f, 0.200806f, 0.217041f, 0.233276f, + 0.248901f, 0.265137f, 0.280762f, 0.297363f, 0.313721f, 0.329834f, 0.346680f, 0.363037f, + 0.378418f, 0.395752f, 0.411621f, 0.428467f, 0.445312f, 0.461670f, 0.479004f, 0.494873f, + 0.511230f, 0.527832f, 0.544434f, 0.561523f, 0.578613f, 0.594727f, 0.611328f, 0.628906f, + 0.645508f, 0.662109f, 0.679199f, 0.695312f, 0.712402f, 0.729004f, 0.746094f, 0.762695f, + 0.779297f, 0.796387f, 0.812500f, 0.829590f, 0.846191f, 0.863281f, 0.879395f, 0.896973f, + 0.914062f, 0.930176f, 0.932129f, 0.879395f, 0.845703f, 0.818848f, 0.795898f, 0.776367f, + 0.006226f, 0.019318f, 0.032959f, 0.046631f, 0.060699f, 0.075745f, 0.089966f, 0.104553f, + 0.119385f, 0.134277f, 0.149292f, 0.164917f, 0.179932f, 0.195190f, 0.210693f, 0.226562f, + 0.242188f, 0.257568f, 0.273438f, 0.289062f, 0.304932f, 0.320557f, 0.336426f, 0.352539f, + 0.368652f, 0.384766f, 0.400391f, 0.417236f, 0.433105f, 0.448730f, 0.465088f, 0.481689f, + 0.497559f, 0.513672f, 0.528809f, 0.546875f, 0.562500f, 0.578613f, 0.595215f, 0.612793f, + 0.627930f, 0.645508f, 0.661621f, 0.677246f, 0.693848f, 0.709961f, 0.726562f, 0.743164f, + 0.759766f, 0.774902f, 0.791992f, 0.808594f, 0.825195f, 0.841309f, 0.856934f, 0.874023f, + 0.890625f, 0.907715f, 0.921387f, 0.872070f, 0.839355f, 0.813477f, 0.791504f, 0.772461f, + 0.005928f, 0.018997f, 0.031830f, 0.045380f, 0.059235f, 0.072754f, 0.087463f, 0.101562f, + 0.115723f, 0.130371f, 0.145264f, 0.159668f, 0.175049f, 0.189453f, 0.204468f, 0.219482f, + 0.234497f, 0.250000f, 0.266113f, 0.280273f, 0.295410f, 0.311768f, 0.327393f, 0.343018f, + 0.357422f, 0.373779f, 0.389404f, 0.404785f, 0.421143f, 0.437012f, 0.452881f, 0.468262f, + 0.484375f, 0.499512f, 0.515137f, 0.531738f, 0.546875f, 0.562500f, 0.579102f, 0.595215f, + 0.610840f, 0.627441f, 0.643555f, 0.659180f, 0.674805f, 0.691406f, 0.708008f, 0.723145f, + 0.738770f, 0.755371f, 0.771484f, 0.787598f, 0.803711f, 0.819824f, 0.835449f, 0.851562f, + 0.867676f, 0.884277f, 0.910156f, 0.864258f, 0.832520f, 0.808105f, 0.787109f, 0.769043f, + 0.005939f, 0.018066f, 0.030991f, 0.043488f, 0.057312f, 0.070557f, 0.084473f, 0.098328f, + 0.112610f, 0.126587f, 0.140259f, 0.154907f, 0.169678f, 0.184326f, 0.198608f, 0.213379f, + 0.227783f, 0.242065f, 0.257568f, 0.272705f, 0.287109f, 0.302246f, 0.318115f, 0.333252f, + 0.347656f, 0.362549f, 0.378418f, 0.393555f, 0.408936f, 0.423828f, 0.439697f, 0.455078f, + 0.471191f, 0.484863f, 0.500488f, 0.517578f, 0.532227f, 0.547363f, 0.562500f, 0.579102f, + 0.594727f, 0.610352f, 0.625488f, 0.641602f, 0.657227f, 0.671875f, 0.687500f, 0.704102f, + 0.719238f, 0.733887f, 0.750488f, 0.767090f, 0.782715f, 0.798340f, 0.813965f, 0.830566f, + 0.845215f, 0.862305f, 0.899902f, 0.855469f, 0.825684f, 0.801758f, 0.782227f, 0.764648f, + 0.005684f, 0.017639f, 0.030334f, 0.042572f, 0.055298f, 0.068054f, 0.081787f, 0.095276f, + 0.108765f, 0.122192f, 0.136353f, 0.150513f, 0.164307f, 0.178467f, 0.192627f, 0.206665f, + 0.221436f, 0.234985f, 0.249634f, 0.264404f, 0.278564f, 0.293213f, 0.308350f, 0.321533f, + 0.337646f, 0.353027f, 0.367432f, 0.381592f, 0.395996f, 0.411865f, 0.426758f, 0.441895f, + 0.456543f, 0.471680f, 0.485840f, 0.501465f, 0.517090f, 0.531738f, 0.546387f, 0.562012f, + 0.576660f, 0.592773f, 0.608398f, 0.623047f, 0.638672f, 0.654297f, 0.668457f, 0.684082f, + 0.699707f, 0.714844f, 0.730469f, 0.745605f, 0.761230f, 0.777832f, 0.791504f, 0.807617f, + 0.823242f, 0.839355f, 0.889160f, 0.847656f, 0.818848f, 0.796387f, 0.776855f, 0.760254f, + 0.005417f, 0.017136f, 0.028778f, 0.041016f, 0.054047f, 0.066528f, 0.079590f, 0.092102f, + 0.105225f, 0.118652f, 0.131714f, 0.145630f, 0.158813f, 0.172607f, 0.186523f, 0.200317f, + 0.213745f, 0.227905f, 0.242188f, 0.256104f, 0.270020f, 0.283936f, 0.299072f, 0.312744f, + 0.327148f, 0.341797f, 0.355957f, 0.369629f, 0.384766f, 0.399414f, 0.413574f, 0.427490f, + 0.443115f, 0.457764f, 0.472656f, 0.487061f, 0.501465f, 0.516602f, 0.530762f, 0.545898f, + 0.560547f, 0.574707f, 0.589844f, 0.605469f, 0.619629f, 0.633301f, 0.648926f, 0.665527f, + 0.679688f, 0.694824f, 0.709961f, 0.725586f, 0.739746f, 0.755371f, 0.770020f, 0.786133f, + 0.802246f, 0.817383f, 0.877930f, 0.838867f, 0.812012f, 0.790039f, 0.771973f, 0.755371f, + 0.005520f, 0.016464f, 0.027695f, 0.039948f, 0.051575f, 0.063965f, 0.076660f, 0.089111f, + 0.101807f, 0.114319f, 0.126953f, 0.140381f, 0.153564f, 0.166992f, 0.180298f, 0.193970f, + 0.207153f, 0.220337f, 0.234131f, 0.248169f, 0.261475f, 0.275146f, 0.288818f, 0.302734f, + 0.316162f, 0.330566f, 0.345459f, 0.358887f, 0.372803f, 0.386719f, 0.401367f, 0.415527f, + 0.429199f, 0.443848f, 0.458008f, 0.472412f, 0.486572f, 0.500977f, 0.515137f, 0.529785f, + 0.544434f, 0.558105f, 0.572754f, 0.587891f, 0.601074f, 0.617188f, 0.631836f, 0.645020f, + 0.660645f, 0.674805f, 0.689453f, 0.704590f, 0.719727f, 0.734375f, 0.750000f, 0.764160f, + 0.780273f, 0.794922f, 0.866699f, 0.830566f, 0.804688f, 0.784180f, 0.766113f, 0.750977f, + 0.005222f, 0.016022f, 0.026962f, 0.038086f, 0.050049f, 0.061798f, 0.074158f, 0.085876f, + 0.098145f, 0.110718f, 0.122986f, 0.135864f, 0.148438f, 0.161133f, 0.173584f, 0.187378f, + 0.199707f, 0.213501f, 0.226440f, 0.240112f, 0.252441f, 0.266113f, 0.279785f, 0.292725f, + 0.306152f, 0.320068f, 0.333984f, 0.347900f, 0.361572f, 0.374512f, 0.387695f, 0.402344f, + 0.416504f, 0.429688f, 0.443604f, 0.458008f, 0.471680f, 0.485596f, 0.499023f, 0.513184f, + 0.527832f, 0.541016f, 0.555664f, 0.569336f, 0.583984f, 0.598633f, 0.612793f, 0.626465f, + 0.641602f, 0.656250f, 0.669922f, 0.684570f, 0.698730f, 0.713867f, 0.728516f, 0.742188f, + 0.757812f, 0.771484f, 0.855957f, 0.822266f, 0.797852f, 0.777832f, 0.760742f, 0.746094f, + 0.004944f, 0.015327f, 0.026230f, 0.037201f, 0.048187f, 0.059448f, 0.071167f, 0.082642f, + 0.094727f, 0.106506f, 0.119019f, 0.130371f, 0.143555f, 0.155640f, 0.167725f, 0.180908f, + 0.193604f, 0.206177f, 0.218506f, 0.231812f, 0.244873f, 0.257568f, 0.270996f, 0.283203f, + 0.296387f, 0.309814f, 0.322754f, 0.336670f, 0.348877f, 0.362061f, 0.376465f, 0.389893f, + 0.402588f, 0.415283f, 0.429443f, 0.443115f, 0.457031f, 0.470459f, 0.483887f, 0.497314f, + 0.511230f, 0.524414f, 0.538574f, 0.551758f, 0.565918f, 0.579590f, 0.593750f, 0.606934f, + 0.621094f, 0.635254f, 0.649902f, 0.664062f, 0.678223f, 0.692871f, 0.707031f, 0.721191f, + 0.735840f, 0.750488f, 0.846191f, 0.813477f, 0.790527f, 0.770996f, 0.754883f, 0.740723f, + 0.004951f, 0.014656f, 0.025253f, 0.035309f, 0.046417f, 0.057465f, 0.068665f, 0.079773f, + 0.091370f, 0.102844f, 0.114441f, 0.126099f, 0.138062f, 0.150391f, 0.161987f, 0.174561f, + 0.186523f, 0.198730f, 0.211060f, 0.223267f, 0.235352f, 0.248779f, 0.260986f, 0.274414f, + 0.286621f, 0.298584f, 0.312256f, 0.324463f, 0.337158f, 0.350342f, 0.363281f, 0.376953f, + 0.389404f, 0.402344f, 0.415283f, 0.428955f, 0.441162f, 0.455322f, 0.467285f, 0.481201f, + 0.493896f, 0.507324f, 0.520996f, 0.534668f, 0.547852f, 0.561035f, 0.575195f, 0.588867f, + 0.603027f, 0.616211f, 0.630371f, 0.643555f, 0.658203f, 0.671875f, 0.686035f, 0.699707f, + 0.714844f, 0.729492f, 0.833984f, 0.804688f, 0.782227f, 0.764160f, 0.749512f, 0.735352f, + 0.004700f, 0.014343f, 0.024200f, 0.034515f, 0.044586f, 0.055176f, 0.066162f, 0.077209f, + 0.087830f, 0.098816f, 0.110413f, 0.121826f, 0.132690f, 0.144897f, 0.156372f, 0.168213f, + 0.179443f, 0.191650f, 0.203369f, 0.215088f, 0.227661f, 0.239990f, 0.251709f, 0.263916f, + 0.276611f, 0.289551f, 0.301270f, 0.313965f, 0.325928f, 0.338135f, 0.350586f, 0.363037f, + 0.376465f, 0.388428f, 0.401123f, 0.414062f, 0.426514f, 0.439209f, 0.452393f, 0.465088f, + 0.478271f, 0.491455f, 0.503906f, 0.517090f, 0.530273f, 0.543457f, 0.556641f, 0.570312f, + 0.583008f, 0.597168f, 0.610352f, 0.624512f, 0.638184f, 0.651367f, 0.665527f, 0.679199f, + 0.692871f, 0.708496f, 0.823242f, 0.796387f, 0.774902f, 0.757812f, 0.742676f, 0.729980f, + 0.004395f, 0.013802f, 0.023499f, 0.033173f, 0.043121f, 0.053345f, 0.063538f, 0.073730f, + 0.085083f, 0.095581f, 0.106140f, 0.116760f, 0.127930f, 0.139160f, 0.150757f, 0.161621f, + 0.173096f, 0.184814f, 0.196289f, 0.207520f, 0.219971f, 0.231201f, 0.242920f, 0.254150f, + 0.266602f, 0.278320f, 0.290527f, 0.302490f, 0.314209f, 0.326904f, 0.338867f, 0.349854f, + 0.362305f, 0.375488f, 0.387451f, 0.400146f, 0.412354f, 0.424805f, 0.436768f, 0.449219f, + 0.461914f, 0.475098f, 0.487061f, 0.500000f, 0.512695f, 0.525391f, 0.538574f, 0.551758f, + 0.564453f, 0.577148f, 0.590820f, 0.604004f, 0.618164f, 0.631348f, 0.644531f, 0.658203f, + 0.672363f, 0.686523f, 0.812500f, 0.786621f, 0.767090f, 0.750977f, 0.736816f, 0.724609f, + 0.004425f, 0.013405f, 0.022385f, 0.032043f, 0.041565f, 0.051605f, 0.061340f, 0.071106f, + 0.081116f, 0.091125f, 0.101868f, 0.112671f, 0.123169f, 0.133667f, 0.144897f, 0.155029f, + 0.166748f, 0.177246f, 0.188599f, 0.199585f, 0.211182f, 0.222046f, 0.233643f, 0.245361f, + 0.255615f, 0.268066f, 0.279053f, 0.291260f, 0.303223f, 0.314209f, 0.325684f, 0.338379f, + 0.349854f, 0.361572f, 0.374023f, 0.385254f, 0.397949f, 0.409912f, 0.421143f, 0.434082f, + 0.445801f, 0.457764f, 0.470215f, 0.482910f, 0.495361f, 0.508301f, 0.520996f, 0.534180f, + 0.546387f, 0.560059f, 0.572266f, 0.584961f, 0.597168f, 0.610840f, 0.624023f, 0.638184f, + 0.650879f, 0.666016f, 0.801270f, 0.778320f, 0.760254f, 0.744141f, 0.730469f, 0.719238f, + 0.004261f, 0.012543f, 0.021591f, 0.031052f, 0.039734f, 0.049164f, 0.058838f, 0.068420f, + 0.077881f, 0.087402f, 0.098145f, 0.108276f, 0.118225f, 0.128784f, 0.138550f, 0.149292f, + 0.159790f, 0.170654f, 0.181519f, 0.191772f, 0.203003f, 0.213623f, 0.225098f, 0.235107f, + 0.247070f, 0.257324f, 0.269287f, 0.280273f, 0.291260f, 0.302246f, 0.313721f, 0.325439f, + 0.336670f, 0.348145f, 0.359619f, 0.371338f, 0.382812f, 0.395020f, 0.406738f, 0.418213f, + 0.429932f, 0.442139f, 0.454102f, 0.466309f, 0.479004f, 0.490723f, 0.502930f, 0.515625f, + 0.526855f, 0.540527f, 0.552246f, 0.565918f, 0.578613f, 0.591309f, 0.604492f, 0.617188f, + 0.630859f, 0.644043f, 0.790039f, 0.769531f, 0.751953f, 0.737305f, 0.724121f, 0.713379f, + 0.003983f, 0.012329f, 0.020538f, 0.029312f, 0.038452f, 0.047241f, 0.056244f, 0.065552f, + 0.075195f, 0.084290f, 0.094238f, 0.103638f, 0.113403f, 0.123413f, 0.133057f, 0.143066f, + 0.153076f, 0.163696f, 0.173584f, 0.184204f, 0.194580f, 0.204834f, 0.215332f, 0.225952f, + 0.237305f, 0.247803f, 0.258545f, 0.269531f, 0.280518f, 0.291260f, 0.301758f, 0.312988f, + 0.324219f, 0.335205f, 0.346191f, 0.357178f, 0.368896f, 0.380127f, 0.391113f, 0.403076f, + 0.414551f, 0.426270f, 0.437500f, 0.449951f, 0.460938f, 0.473389f, 0.485596f, 0.497314f, + 0.509277f, 0.522461f, 0.533691f, 0.546875f, 0.558594f, 0.571289f, 0.583496f, 0.596680f, + 0.608887f, 0.623047f, 0.778809f, 0.761230f, 0.744141f, 0.730957f, 0.718262f, 0.707031f, + 0.003717f, 0.012016f, 0.020142f, 0.028137f, 0.036682f, 0.045441f, 0.053711f, 0.062927f, + 0.071777f, 0.080627f, 0.090210f, 0.099060f, 0.108643f, 0.118164f, 0.127808f, 0.137329f, + 0.147095f, 0.156128f, 0.166748f, 0.175903f, 0.186157f, 0.196655f, 0.206909f, 0.216797f, + 0.227417f, 0.236816f, 0.247559f, 0.258301f, 0.268799f, 0.278809f, 0.289795f, 0.299805f, + 0.310547f, 0.321777f, 0.333008f, 0.343262f, 0.354492f, 0.365234f, 0.376953f, 0.387939f, + 0.398438f, 0.410400f, 0.421387f, 0.433105f, 0.444824f, 0.455811f, 0.467529f, 0.479736f, + 0.491943f, 0.502930f, 0.515625f, 0.527344f, 0.540039f, 0.551758f, 0.563965f, 0.576660f, + 0.589844f, 0.602539f, 0.767578f, 0.751465f, 0.736328f, 0.723633f, 0.711914f, 0.701660f, + 0.003813f, 0.011337f, 0.019028f, 0.027252f, 0.035583f, 0.043396f, 0.051849f, 0.060028f, + 0.068481f, 0.077026f, 0.086121f, 0.095093f, 0.103821f, 0.112610f, 0.121765f, 0.131470f, + 0.140503f, 0.149780f, 0.159058f, 0.168701f, 0.178711f, 0.187744f, 0.197998f, 0.207397f, + 0.217651f, 0.227661f, 0.236694f, 0.246704f, 0.257080f, 0.267334f, 0.277832f, 0.288330f, + 0.298584f, 0.308838f, 0.319336f, 0.329590f, 0.340332f, 0.351318f, 0.361816f, 0.372559f, + 0.383301f, 0.395020f, 0.405273f, 0.416260f, 0.427734f, 0.439209f, 0.450195f, 0.462158f, + 0.473389f, 0.485107f, 0.497314f, 0.508301f, 0.520996f, 0.533203f, 0.544922f, 0.557617f, + 0.568848f, 0.582031f, 0.757324f, 0.742676f, 0.729004f, 0.716309f, 0.705566f, 0.695801f, + 0.003633f, 0.011040f, 0.018280f, 0.026062f, 0.033569f, 0.041229f, 0.049591f, 0.057373f, + 0.065308f, 0.073975f, 0.082214f, 0.090393f, 0.099243f, 0.107544f, 0.116028f, 0.125854f, + 0.134155f, 0.143311f, 0.151978f, 0.160767f, 0.170410f, 0.179321f, 0.188477f, 0.198242f, + 0.207764f, 0.217896f, 0.227051f, 0.236328f, 0.246338f, 0.256104f, 0.265869f, 0.276123f, + 0.285645f, 0.295898f, 0.306152f, 0.316162f, 0.326172f, 0.336914f, 0.347412f, 0.358154f, + 0.368164f, 0.378906f, 0.389648f, 0.400146f, 0.410889f, 0.421631f, 0.432861f, 0.444824f, + 0.456055f, 0.466797f, 0.479004f, 0.490234f, 0.501465f, 0.514160f, 0.525879f, 0.537598f, + 0.549316f, 0.561523f, 0.745605f, 0.733887f, 0.721191f, 0.708496f, 0.699219f, 0.689453f, + 0.003469f, 0.010429f, 0.017609f, 0.024612f, 0.032135f, 0.039520f, 0.047516f, 0.055206f, + 0.062347f, 0.070618f, 0.078308f, 0.085938f, 0.094727f, 0.102417f, 0.111511f, 0.119446f, + 0.127441f, 0.136475f, 0.144897f, 0.154175f, 0.162476f, 0.171509f, 0.180054f, 0.189697f, + 0.198486f, 0.207886f, 0.216553f, 0.225830f, 0.235229f, 0.244873f, 0.254395f, 0.263428f, + 0.273193f, 0.283203f, 0.292969f, 0.302734f, 0.312744f, 0.322510f, 0.333008f, 0.342773f, + 0.353027f, 0.363037f, 0.374023f, 0.384521f, 0.395264f, 0.405762f, 0.416260f, 0.427002f, + 0.438232f, 0.449219f, 0.460449f, 0.471924f, 0.482910f, 0.494629f, 0.506348f, 0.517578f, + 0.529785f, 0.541504f, 0.734375f, 0.725098f, 0.712891f, 0.701660f, 0.692383f, 0.683594f, + 0.003328f, 0.009804f, 0.016373f, 0.023727f, 0.030746f, 0.037994f, 0.044952f, 0.052032f, + 0.059998f, 0.067383f, 0.074707f, 0.082214f, 0.089783f, 0.097961f, 0.105774f, 0.114197f, + 0.122131f, 0.129517f, 0.137695f, 0.146118f, 0.154419f, 0.163330f, 0.171997f, 0.180664f, + 0.188477f, 0.197388f, 0.206055f, 0.215332f, 0.224365f, 0.233765f, 0.242798f, 0.251709f, + 0.260986f, 0.270020f, 0.279785f, 0.289062f, 0.299561f, 0.308594f, 0.318115f, 0.328613f, + 0.338135f, 0.348877f, 0.358154f, 0.368408f, 0.378174f, 0.388916f, 0.399658f, 0.410156f, + 0.420898f, 0.431885f, 0.442871f, 0.453369f, 0.463867f, 0.475342f, 0.486572f, 0.498535f, + 0.510742f, 0.521973f, 0.723633f, 0.715820f, 0.705078f, 0.694336f, 0.686035f, 0.677246f, + 0.003090f, 0.009628f, 0.016129f, 0.022644f, 0.029068f, 0.036407f, 0.042633f, 0.049866f, + 0.056946f, 0.063904f, 0.071167f, 0.078186f, 0.085327f, 0.092896f, 0.100098f, 0.107788f, + 0.115662f, 0.123230f, 0.131104f, 0.139160f, 0.146973f, 0.154907f, 0.162964f, 0.171265f, + 0.179565f, 0.188110f, 0.196777f, 0.204834f, 0.213745f, 0.222168f, 0.231079f, 0.239868f, + 0.248779f, 0.258057f, 0.267090f, 0.276611f, 0.285645f, 0.294434f, 0.304688f, 0.314209f, + 0.323242f, 0.332520f, 0.342773f, 0.353027f, 0.362549f, 0.373047f, 0.383057f, 0.393311f, + 0.404053f, 0.414307f, 0.424561f, 0.435059f, 0.445801f, 0.456787f, 0.467773f, 0.479004f, + 0.490479f, 0.501953f, 0.712891f, 0.707031f, 0.696777f, 0.687500f, 0.679199f, 0.671387f, + 0.003096f, 0.009026f, 0.015450f, 0.021606f, 0.027695f, 0.034302f, 0.040833f, 0.047455f, + 0.054077f, 0.060669f, 0.067444f, 0.074097f, 0.081604f, 0.088501f, 0.095337f, 0.102295f, + 0.109375f, 0.116821f, 0.124146f, 0.131592f, 0.139404f, 0.147217f, 0.155029f, 0.162231f, + 0.170288f, 0.177979f, 0.186646f, 0.194092f, 0.203247f, 0.211670f, 0.219604f, 0.228149f, + 0.236816f, 0.245605f, 0.254639f, 0.263184f, 0.272217f, 0.281250f, 0.290527f, 0.299805f, + 0.308838f, 0.318604f, 0.327637f, 0.337646f, 0.347900f, 0.356934f, 0.367432f, 0.376953f, + 0.387451f, 0.397217f, 0.407227f, 0.417480f, 0.427979f, 0.439209f, 0.449463f, 0.459717f, + 0.470947f, 0.482666f, 0.701172f, 0.698242f, 0.688477f, 0.680176f, 0.671875f, 0.665039f, + 0.002831f, 0.008789f, 0.014702f, 0.020523f, 0.026642f, 0.032684f, 0.038757f, 0.044708f, + 0.051666f, 0.057312f, 0.063660f, 0.070190f, 0.076904f, 0.083435f, 0.090454f, 0.097046f, + 0.103821f, 0.110535f, 0.117981f, 0.124817f, 0.131714f, 0.138916f, 0.146606f, 0.153687f, + 0.161011f, 0.168823f, 0.176270f, 0.184570f, 0.192139f, 0.200317f, 0.208008f, 0.216309f, + 0.224609f, 0.233032f, 0.241821f, 0.250244f, 0.258789f, 0.268066f, 0.276611f, 0.285400f, + 0.294678f, 0.303223f, 0.312500f, 0.322021f, 0.331787f, 0.340088f, 0.350830f, 0.360596f, + 0.369385f, 0.380371f, 0.389893f, 0.399658f, 0.410645f, 0.420654f, 0.430908f, 0.442383f, + 0.452148f, 0.464111f, 0.690430f, 0.688965f, 0.681152f, 0.672852f, 0.665039f, 0.658691f, + 0.002712f, 0.008553f, 0.013878f, 0.019638f, 0.025360f, 0.030716f, 0.037231f, 0.042633f, + 0.048615f, 0.054810f, 0.060638f, 0.066650f, 0.072205f, 0.078796f, 0.085083f, 0.091492f, + 0.097961f, 0.104065f, 0.110718f, 0.117859f, 0.124207f, 0.130981f, 0.138550f, 0.145142f, + 0.152588f, 0.160156f, 0.166992f, 0.174561f, 0.181885f, 0.189453f, 0.197754f, 0.205444f, + 0.213013f, 0.220825f, 0.229004f, 0.237061f, 0.246094f, 0.254639f, 0.262939f, 0.271484f, + 0.280273f, 0.288818f, 0.298584f, 0.307129f, 0.316162f, 0.325195f, 0.334229f, 0.344482f, + 0.353516f, 0.363525f, 0.372803f, 0.382812f, 0.392822f, 0.402344f, 0.412842f, 0.423096f, + 0.433350f, 0.444092f, 0.679199f, 0.679688f, 0.672852f, 0.665039f, 0.658203f, 0.651855f, + 0.002674f, 0.007828f, 0.013290f, 0.018723f, 0.023743f, 0.029160f, 0.034790f, 0.040100f, + 0.045929f, 0.051544f, 0.057068f, 0.063110f, 0.068359f, 0.074280f, 0.080078f, 0.086243f, + 0.092346f, 0.098206f, 0.104919f, 0.110779f, 0.117493f, 0.123291f, 0.130005f, 0.136963f, + 0.143677f, 0.150635f, 0.157471f, 0.164307f, 0.171631f, 0.179199f, 0.186279f, 0.193604f, + 0.201904f, 0.209229f, 0.217163f, 0.224976f, 0.233154f, 0.240967f, 0.249634f, 0.258301f, + 0.266113f, 0.274414f, 0.283691f, 0.291748f, 0.301025f, 0.310059f, 0.319336f, 0.327148f, + 0.337402f, 0.347168f, 0.355957f, 0.364746f, 0.375488f, 0.385498f, 0.394043f, 0.405273f, + 0.415283f, 0.426025f, 0.667969f, 0.670410f, 0.664551f, 0.657227f, 0.651367f, 0.645508f, + 0.002731f, 0.007622f, 0.012627f, 0.017868f, 0.022781f, 0.028107f, 0.032959f, 0.037811f, + 0.043121f, 0.048615f, 0.053925f, 0.059235f, 0.064514f, 0.070007f, 0.075562f, 0.080688f, + 0.086914f, 0.092102f, 0.098083f, 0.104309f, 0.110107f, 0.115906f, 0.122314f, 0.128540f, + 0.135010f, 0.141479f, 0.147949f, 0.154663f, 0.161865f, 0.168579f, 0.175415f, 0.182739f, + 0.191040f, 0.197510f, 0.205200f, 0.212891f, 0.219971f, 0.228638f, 0.236328f, 0.244263f, + 0.252686f, 0.260498f, 0.268799f, 0.278076f, 0.286133f, 0.294434f, 0.303223f, 0.312500f, + 0.320801f, 0.329834f, 0.339844f, 0.347656f, 0.357910f, 0.367676f, 0.376709f, 0.386963f, + 0.396729f, 0.406982f, 0.656738f, 0.662598f, 0.656738f, 0.649902f, 0.644531f, 0.638672f, + 0.002411f, 0.007168f, 0.012238f, 0.016739f, 0.021957f, 0.026184f, 0.031311f, 0.035583f, + 0.041016f, 0.045685f, 0.050568f, 0.055573f, 0.060791f, 0.065735f, 0.070557f, 0.076111f, + 0.081238f, 0.086792f, 0.092163f, 0.097534f, 0.103271f, 0.108887f, 0.114563f, 0.120605f, + 0.126587f, 0.132446f, 0.139038f, 0.145508f, 0.152100f, 0.158447f, 0.165527f, 0.171997f, + 0.178833f, 0.186035f, 0.193481f, 0.200928f, 0.207886f, 0.215820f, 0.222900f, 0.230713f, + 0.238770f, 0.246948f, 0.255127f, 0.262695f, 0.271484f, 0.280029f, 0.287842f, 0.296631f, + 0.305420f, 0.313965f, 0.322754f, 0.331787f, 0.340576f, 0.350342f, 0.359375f, 0.369385f, + 0.379150f, 0.388184f, 0.645508f, 0.652832f, 0.648438f, 0.643066f, 0.637695f, 0.632324f, + 0.002480f, 0.006691f, 0.011452f, 0.015900f, 0.020828f, 0.024734f, 0.029327f, 0.033752f, + 0.038513f, 0.042999f, 0.047638f, 0.052429f, 0.056671f, 0.061859f, 0.066040f, 0.071289f, + 0.075684f, 0.080688f, 0.086243f, 0.091248f, 0.096436f, 0.101562f, 0.107300f, 0.112366f, + 0.118347f, 0.124146f, 0.130249f, 0.135864f, 0.141968f, 0.148438f, 0.155029f, 0.161377f, + 0.167969f, 0.174683f, 0.181641f, 0.188599f, 0.195679f, 0.203247f, 0.210449f, 0.217529f, + 0.225342f, 0.233398f, 0.241577f, 0.249023f, 0.256592f, 0.264893f, 0.273193f, 0.281494f, + 0.289795f, 0.297607f, 0.306885f, 0.315430f, 0.323730f, 0.333496f, 0.342529f, 0.351318f, + 0.360840f, 0.370605f, 0.634766f, 0.643555f, 0.640625f, 0.635742f, 0.630859f, 0.625488f, + 0.002230f, 0.006477f, 0.010582f, 0.014870f, 0.019073f, 0.023270f, 0.027893f, 0.031860f, + 0.036072f, 0.040253f, 0.044373f, 0.048706f, 0.052856f, 0.057312f, 0.061859f, 0.066406f, + 0.070984f, 0.075317f, 0.080139f, 0.084839f, 0.089661f, 0.094910f, 0.099792f, 0.104858f, + 0.110718f, 0.115356f, 0.121399f, 0.126831f, 0.132690f, 0.138672f, 0.145142f, 0.151001f, + 0.157471f, 0.164185f, 0.170532f, 0.177002f, 0.184082f, 0.191040f, 0.197876f, 0.205200f, + 0.212402f, 0.219604f, 0.227295f, 0.234985f, 0.242188f, 0.250244f, 0.257812f, 0.266113f, + 0.274170f, 0.282471f, 0.290771f, 0.299072f, 0.307373f, 0.316162f, 0.326416f, 0.333984f, + 0.343750f, 0.353271f, 0.622070f, 0.634277f, 0.631836f, 0.627930f, 0.623535f, 0.619141f, + 0.002220f, 0.006039f, 0.010353f, 0.014328f, 0.017838f, 0.022141f, 0.025742f, 0.029510f, + 0.033600f, 0.037781f, 0.041443f, 0.045502f, 0.049469f, 0.053436f, 0.057190f, 0.061462f, + 0.065735f, 0.069946f, 0.074524f, 0.078674f, 0.083069f, 0.087830f, 0.092468f, 0.097412f, + 0.102783f, 0.107910f, 0.112793f, 0.118164f, 0.123901f, 0.129395f, 0.135132f, 0.140991f, + 0.147339f, 0.152954f, 0.159302f, 0.165527f, 0.172363f, 0.178589f, 0.185425f, 0.191895f, + 0.199219f, 0.206665f, 0.213989f, 0.221069f, 0.228516f, 0.236206f, 0.243042f, 0.251709f, + 0.258789f, 0.266846f, 0.275146f, 0.283203f, 0.291260f, 0.300537f, 0.308350f, 0.317627f, + 0.326904f, 0.335938f, 0.611816f, 0.625000f, 0.624023f, 0.620117f, 0.616211f, 0.612793f, + 0.001965f, 0.005882f, 0.009613f, 0.013184f, 0.016785f, 0.020370f, 0.024384f, 0.027664f, + 0.031311f, 0.035126f, 0.038727f, 0.042572f, 0.046112f, 0.049347f, 0.053253f, 0.056915f, + 0.060883f, 0.064697f, 0.068909f, 0.072693f, 0.076843f, 0.081055f, 0.085754f, 0.090088f, + 0.094849f, 0.099609f, 0.104614f, 0.109741f, 0.114746f, 0.119995f, 0.125488f, 0.130981f, + 0.136719f, 0.142700f, 0.148315f, 0.154541f, 0.160522f, 0.166870f, 0.173828f, 0.179932f, + 0.186768f, 0.193604f, 0.200439f, 0.207764f, 0.214844f, 0.221802f, 0.228882f, 0.236328f, + 0.244385f, 0.252197f, 0.259277f, 0.268066f, 0.275635f, 0.283447f, 0.292236f, 0.301270f, + 0.309570f, 0.318848f, 0.600098f, 0.616211f, 0.615234f, 0.612793f, 0.609375f, 0.605469f, + 0.001966f, 0.005653f, 0.009109f, 0.012428f, 0.015945f, 0.018967f, 0.022537f, 0.025894f, + 0.029175f, 0.032440f, 0.035797f, 0.038818f, 0.042389f, 0.046051f, 0.049072f, 0.052521f, + 0.056335f, 0.059906f, 0.063293f, 0.067017f, 0.070923f, 0.075134f, 0.078979f, 0.083496f, + 0.087646f, 0.091980f, 0.096619f, 0.101196f, 0.105957f, 0.111145f, 0.116028f, 0.121277f, + 0.126831f, 0.132080f, 0.137817f, 0.143311f, 0.149780f, 0.155029f, 0.161621f, 0.167847f, + 0.173950f, 0.180786f, 0.187622f, 0.194214f, 0.201050f, 0.207764f, 0.215210f, 0.222046f, + 0.229370f, 0.236816f, 0.244751f, 0.251953f, 0.260010f, 0.268311f, 0.276123f, 0.284180f, + 0.293213f, 0.301514f, 0.588379f, 0.606934f, 0.607422f, 0.604980f, 0.602051f, 0.599609f, + 0.001963f, 0.005333f, 0.008377f, 0.011589f, 0.014450f, 0.017593f, 0.021133f, 0.023972f, + 0.027145f, 0.030075f, 0.033295f, 0.035858f, 0.038818f, 0.041992f, 0.045288f, 0.048279f, + 0.051849f, 0.054840f, 0.058289f, 0.061737f, 0.065186f, 0.068848f, 0.072632f, 0.076721f, + 0.080505f, 0.084717f, 0.088806f, 0.093079f, 0.097717f, 0.102356f, 0.106934f, 0.111755f, + 0.116882f, 0.121887f, 0.127319f, 0.132935f, 0.138306f, 0.144287f, 0.149902f, 0.156250f, + 0.162109f, 0.168579f, 0.174316f, 0.180908f, 0.187500f, 0.194458f, 0.201538f, 0.208252f, + 0.215210f, 0.222656f, 0.229980f, 0.237061f, 0.244629f, 0.252441f, 0.260254f, 0.267334f, + 0.276123f, 0.284180f, 0.576660f, 0.597656f, 0.599609f, 0.598145f, 0.595215f, 0.591797f, + 0.001631f, 0.004906f, 0.007805f, 0.010826f, 0.013802f, 0.016983f, 0.019485f, 0.022079f, + 0.024750f, 0.027939f, 0.030136f, 0.033112f, 0.035797f, 0.038727f, 0.041443f, 0.044281f, + 0.047058f, 0.050018f, 0.053253f, 0.056396f, 0.059662f, 0.063049f, 0.066406f, 0.069946f, + 0.073730f, 0.077454f, 0.081360f, 0.085388f, 0.089417f, 0.093750f, 0.098267f, 0.102844f, + 0.107727f, 0.112244f, 0.117615f, 0.122253f, 0.127441f, 0.133057f, 0.138550f, 0.144287f, + 0.150024f, 0.156250f, 0.161987f, 0.167969f, 0.174805f, 0.181274f, 0.187744f, 0.194580f, + 0.201294f, 0.208374f, 0.215210f, 0.222412f, 0.229736f, 0.237183f, 0.244629f, 0.252197f, + 0.260010f, 0.269287f, 0.566406f, 0.588867f, 0.590820f, 0.590332f, 0.587891f, 0.585938f, + 0.001858f, 0.004318f, 0.007465f, 0.010246f, 0.012550f, 0.015793f, 0.018143f, 0.020782f, + 0.022980f, 0.025116f, 0.027924f, 0.030106f, 0.032623f, 0.035126f, 0.037720f, 0.040283f, + 0.042847f, 0.045380f, 0.048492f, 0.051300f, 0.054321f, 0.057373f, 0.060516f, 0.063599f, + 0.067139f, 0.070496f, 0.074219f, 0.078003f, 0.081848f, 0.085754f, 0.089783f, 0.093994f, + 0.098267f, 0.102783f, 0.107239f, 0.112366f, 0.117371f, 0.122498f, 0.127686f, 0.132935f, + 0.138428f, 0.144043f, 0.150024f, 0.155884f, 0.161865f, 0.168091f, 0.174316f, 0.180664f, + 0.187622f, 0.194214f, 0.200928f, 0.207520f, 0.214966f, 0.221680f, 0.229370f, 0.236816f, + 0.244751f, 0.252441f, 0.553223f, 0.579102f, 0.583496f, 0.582031f, 0.581055f, 0.579590f, + 0.001425f, 0.004284f, 0.007019f, 0.009521f, 0.011894f, 0.014191f, 0.016632f, 0.018723f, + 0.021210f, 0.023209f, 0.025482f, 0.027344f, 0.029617f, 0.032043f, 0.034210f, 0.036407f, + 0.039001f, 0.041077f, 0.043976f, 0.046448f, 0.049133f, 0.051819f, 0.054932f, 0.057770f, + 0.060730f, 0.063965f, 0.067322f, 0.070862f, 0.074280f, 0.077698f, 0.082031f, 0.085571f, + 0.089844f, 0.093994f, 0.098022f, 0.102722f, 0.107178f, 0.111877f, 0.116821f, 0.121887f, + 0.127075f, 0.132446f, 0.138062f, 0.143799f, 0.149414f, 0.155518f, 0.161377f, 0.167480f, + 0.173950f, 0.180176f, 0.186890f, 0.193481f, 0.200562f, 0.207397f, 0.214355f, 0.221313f, + 0.229492f, 0.237427f, 0.541504f, 0.570801f, 0.575195f, 0.575195f, 0.573730f, 0.572266f, + 0.001613f, 0.004181f, 0.006252f, 0.008774f, 0.011108f, 0.013054f, 0.015152f, 0.016937f, + 0.019150f, 0.021011f, 0.023163f, 0.024826f, 0.026993f, 0.028793f, 0.030823f, 0.033081f, + 0.035156f, 0.037201f, 0.039612f, 0.041748f, 0.044464f, 0.046814f, 0.049438f, 0.052155f, + 0.054840f, 0.057831f, 0.060699f, 0.063599f, 0.067078f, 0.070374f, 0.073853f, 0.077087f, + 0.081177f, 0.085083f, 0.089111f, 0.093262f, 0.097473f, 0.101929f, 0.106689f, 0.111023f, + 0.116455f, 0.121277f, 0.126343f, 0.132080f, 0.137573f, 0.142700f, 0.148682f, 0.154907f, + 0.161133f, 0.167236f, 0.173340f, 0.179688f, 0.186768f, 0.193115f, 0.200684f, 0.207275f, + 0.214233f, 0.221924f, 0.530273f, 0.561523f, 0.565430f, 0.567383f, 0.564941f, 0.564941f, + 0.001237f, 0.003775f, 0.006348f, 0.008141f, 0.010117f, 0.012184f, 0.013763f, 0.015656f, + 0.017319f, 0.018967f, 0.020645f, 0.022507f, 0.023926f, 0.025757f, 0.027573f, 0.029449f, + 0.031677f, 0.033325f, 0.035645f, 0.037659f, 0.039734f, 0.041809f, 0.044189f, 0.046692f, + 0.049133f, 0.051697f, 0.054504f, 0.057251f, 0.060059f, 0.063110f, 0.066467f, 0.069763f, + 0.072937f, 0.076477f, 0.080505f, 0.084290f, 0.088013f, 0.092407f, 0.096436f, 0.101013f, + 0.105713f, 0.110352f, 0.115356f, 0.120605f, 0.125488f, 0.130981f, 0.136353f, 0.142090f, + 0.148438f, 0.153931f, 0.159912f, 0.166260f, 0.172485f, 0.179321f, 0.185791f, 0.193115f, + 0.199463f, 0.206665f, 0.520020f, 0.552246f, 0.558105f, 0.559570f, 0.559082f, 0.557617f, + 0.001151f, 0.003399f, 0.005611f, 0.007439f, 0.009354f, 0.010925f, 0.012489f, 0.014061f, + 0.015610f, 0.017258f, 0.018845f, 0.020248f, 0.021484f, 0.023193f, 0.024796f, 0.026459f, + 0.028183f, 0.029785f, 0.031738f, 0.033386f, 0.035309f, 0.037384f, 0.039368f, 0.041626f, + 0.043701f, 0.046204f, 0.048553f, 0.051178f, 0.053955f, 0.056488f, 0.059418f, 0.062256f, + 0.065308f, 0.068542f, 0.071899f, 0.075623f, 0.079224f, 0.082947f, 0.087097f, 0.091064f, + 0.095520f, 0.099854f, 0.104736f, 0.109314f, 0.114136f, 0.119324f, 0.124756f, 0.130127f, + 0.135498f, 0.141113f, 0.146973f, 0.153198f, 0.159180f, 0.165527f, 0.172241f, 0.178711f, + 0.185425f, 0.192749f, 0.507324f, 0.543945f, 0.549316f, 0.552246f, 0.551270f, 0.551270f, + 0.001070f, 0.002996f, 0.004986f, 0.006851f, 0.008514f, 0.009850f, 0.011330f, 0.012596f, + 0.014015f, 0.015259f, 0.016586f, 0.017731f, 0.019287f, 0.020676f, 0.022079f, 0.023468f, + 0.024765f, 0.026489f, 0.028030f, 0.029465f, 0.031311f, 0.032898f, 0.034851f, 0.036743f, + 0.038940f, 0.040833f, 0.043091f, 0.045074f, 0.047729f, 0.050079f, 0.052673f, 0.055389f, + 0.058136f, 0.061188f, 0.064087f, 0.067261f, 0.070618f, 0.074158f, 0.077942f, 0.081726f, + 0.085815f, 0.089783f, 0.094055f, 0.098572f, 0.103088f, 0.107971f, 0.113037f, 0.118164f, + 0.123413f, 0.128784f, 0.134521f, 0.140137f, 0.146118f, 0.152100f, 0.158325f, 0.164307f, + 0.171387f, 0.177368f, 0.496094f, 0.534668f, 0.541992f, 0.543945f, 0.544434f, 0.544434f, + 0.001086f, 0.003069f, 0.004463f, 0.006256f, 0.007393f, 0.009026f, 0.010178f, 0.011276f, + 0.012260f, 0.013542f, 0.014648f, 0.015808f, 0.016861f, 0.017899f, 0.019333f, 0.020599f, + 0.021942f, 0.023117f, 0.024384f, 0.025833f, 0.027344f, 0.028992f, 0.030579f, 0.032318f, + 0.034149f, 0.035828f, 0.037842f, 0.039764f, 0.041901f, 0.044037f, 0.046539f, 0.048645f, + 0.051147f, 0.053894f, 0.056641f, 0.059631f, 0.062500f, 0.065735f, 0.069031f, 0.072754f, + 0.076294f, 0.080139f, 0.083984f, 0.088379f, 0.092712f, 0.097229f, 0.101929f, 0.106873f, + 0.111694f, 0.117004f, 0.122314f, 0.127930f, 0.133789f, 0.139282f, 0.145142f, 0.151367f, + 0.157349f, 0.163818f, 0.484619f, 0.525391f, 0.534180f, 0.536621f, 0.536133f, 0.536621f, + 0.001125f, 0.002892f, 0.003883f, 0.005867f, 0.006603f, 0.007935f, 0.009026f, 0.009911f, + 0.010956f, 0.012077f, 0.012909f, 0.013901f, 0.014977f, 0.015671f, 0.016983f, 0.018021f, + 0.019058f, 0.020279f, 0.021225f, 0.022598f, 0.023941f, 0.025299f, 0.026535f, 0.028107f, + 0.029755f, 0.031113f, 0.033020f, 0.034668f, 0.036682f, 0.038483f, 0.040527f, 0.042511f, + 0.044708f, 0.046936f, 0.049744f, 0.052216f, 0.054840f, 0.057800f, 0.060791f, 0.064087f, + 0.067505f, 0.071045f, 0.074463f, 0.078491f, 0.082397f, 0.086609f, 0.091248f, 0.095581f, + 0.100342f, 0.105530f, 0.110474f, 0.116272f, 0.120972f, 0.126953f, 0.132812f, 0.138672f, + 0.144287f, 0.150513f, 0.472412f, 0.516113f, 0.524902f, 0.528809f, 0.529785f, 0.529785f, + 0.000859f, 0.002470f, 0.003815f, 0.005226f, 0.005913f, 0.007206f, 0.007942f, 0.008652f, + 0.009583f, 0.010406f, 0.011223f, 0.011971f, 0.012856f, 0.013664f, 0.014664f, 0.015549f, + 0.016464f, 0.017487f, 0.018478f, 0.019592f, 0.020767f, 0.021774f, 0.023117f, 0.024338f, + 0.025604f, 0.027008f, 0.028519f, 0.029953f, 0.031525f, 0.033173f, 0.034943f, 0.036865f, + 0.038696f, 0.040863f, 0.042969f, 0.045471f, 0.048004f, 0.050293f, 0.052979f, 0.055847f, + 0.058960f, 0.062042f, 0.065491f, 0.069153f, 0.072937f, 0.076660f, 0.080750f, 0.085144f, + 0.089539f, 0.094177f, 0.099304f, 0.104187f, 0.109741f, 0.114807f, 0.120483f, 0.125977f, + 0.131836f, 0.138306f, 0.460449f, 0.507812f, 0.516602f, 0.520020f, 0.522461f, 0.522949f, + 0.000906f, 0.002359f, 0.003643f, 0.004356f, 0.005310f, 0.005989f, 0.007030f, 0.007507f, + 0.008255f, 0.009010f, 0.009834f, 0.010483f, 0.011230f, 0.011887f, 0.012573f, 0.013367f, + 0.014252f, 0.014954f, 0.015900f, 0.016785f, 0.017776f, 0.018631f, 0.019775f, 0.020874f, + 0.022110f, 0.023117f, 0.024368f, 0.025589f, 0.026932f, 0.028549f, 0.029938f, 0.031525f, + 0.033325f, 0.035187f, 0.037109f, 0.038971f, 0.041138f, 0.043396f, 0.045715f, 0.048370f, + 0.051025f, 0.053772f, 0.057129f, 0.060089f, 0.063416f, 0.067261f, 0.070679f, 0.075012f, + 0.079285f, 0.083618f, 0.088379f, 0.093018f, 0.098083f, 0.102478f, 0.108093f, 0.114380f, + 0.119507f, 0.125488f, 0.448975f, 0.498291f, 0.508789f, 0.513672f, 0.514648f, 0.516113f, + 0.000728f, 0.001932f, 0.003067f, 0.003990f, 0.004784f, 0.005295f, 0.005974f, 0.006584f, + 0.007099f, 0.007652f, 0.008255f, 0.008904f, 0.009491f, 0.010109f, 0.010658f, 0.011497f, + 0.012131f, 0.012718f, 0.013535f, 0.014336f, 0.015083f, 0.016083f, 0.016785f, 0.017761f, + 0.018738f, 0.019669f, 0.020691f, 0.021805f, 0.023010f, 0.024170f, 0.025467f, 0.026794f, + 0.028336f, 0.029922f, 0.031555f, 0.033203f, 0.035034f, 0.036987f, 0.039062f, 0.041290f, + 0.043671f, 0.046143f, 0.048920f, 0.051880f, 0.054901f, 0.058228f, 0.061615f, 0.065369f, + 0.069214f, 0.073425f, 0.077637f, 0.082214f, 0.087097f, 0.091797f, 0.096497f, 0.102356f, + 0.107483f, 0.113464f, 0.437256f, 0.489746f, 0.500977f, 0.504883f, 0.507812f, 0.509277f, + 0.000724f, 0.001842f, 0.002728f, 0.003332f, 0.004101f, 0.004707f, 0.005020f, 0.005497f, + 0.006245f, 0.006603f, 0.007027f, 0.007515f, 0.008156f, 0.008537f, 0.009125f, 0.009659f, + 0.010101f, 0.010864f, 0.011482f, 0.012070f, 0.012756f, 0.013496f, 0.014236f, 0.014931f, + 0.015808f, 0.016632f, 0.017487f, 0.018433f, 0.019379f, 0.020416f, 0.021530f, 0.022583f, + 0.023804f, 0.024979f, 0.026443f, 0.027939f, 0.029526f, 0.031235f, 0.033020f, 0.035004f, + 0.037018f, 0.039185f, 0.041595f, 0.044159f, 0.046783f, 0.049866f, 0.052856f, 0.056274f, + 0.059906f, 0.063721f, 0.067749f, 0.072327f, 0.076172f, 0.081299f, 0.085938f, 0.091309f, + 0.096558f, 0.101807f, 0.426270f, 0.480469f, 0.492676f, 0.498047f, 0.500488f, 0.501953f, + 0.000673f, 0.001715f, 0.002426f, 0.002953f, 0.003588f, 0.003944f, 0.004200f, 0.004776f, + 0.005131f, 0.005527f, 0.005886f, 0.006371f, 0.006790f, 0.007076f, 0.007538f, 0.008133f, + 0.008644f, 0.009140f, 0.009483f, 0.010071f, 0.010689f, 0.011230f, 0.011879f, 0.012474f, + 0.013222f, 0.013916f, 0.014587f, 0.015411f, 0.016190f, 0.016983f, 0.017883f, 0.018845f, + 0.019867f, 0.020935f, 0.022141f, 0.023270f, 0.024567f, 0.026001f, 0.027481f, 0.029114f, + 0.030777f, 0.032684f, 0.034698f, 0.036865f, 0.039337f, 0.041748f, 0.044647f, 0.047882f, + 0.050964f, 0.054260f, 0.058258f, 0.062195f, 0.066528f, 0.070679f, 0.075623f, 0.080505f, + 0.085510f, 0.090515f, 0.414307f, 0.472168f, 0.484131f, 0.490234f, 0.492920f, 0.495850f, + 0.000484f, 0.001445f, 0.002169f, 0.002569f, 0.002836f, 0.003317f, 0.003569f, 0.003952f, + 0.004215f, 0.004623f, 0.004959f, 0.005306f, 0.005592f, 0.005951f, 0.006306f, 0.006737f, + 0.007004f, 0.007492f, 0.007942f, 0.008331f, 0.008865f, 0.009270f, 0.009781f, 0.010338f, + 0.010887f, 0.011429f, 0.012047f, 0.012726f, 0.013336f, 0.014030f, 0.014771f, 0.015572f, + 0.016418f, 0.017258f, 0.018234f, 0.019196f, 0.020279f, 0.021423f, 0.022675f, 0.023987f, + 0.025375f, 0.027039f, 0.028702f, 0.030563f, 0.032623f, 0.034698f, 0.037262f, 0.040039f, + 0.042664f, 0.046051f, 0.049194f, 0.052948f, 0.057129f, 0.061371f, 0.065613f, 0.070007f, + 0.075317f, 0.080200f, 0.402588f, 0.462402f, 0.476807f, 0.482666f, 0.485107f, 0.487061f, + 0.000459f, 0.001265f, 0.001572f, 0.002138f, 0.002365f, 0.002775f, 0.002920f, 0.003189f, + 0.003454f, 0.003723f, 0.003986f, 0.004250f, 0.004536f, 0.004906f, 0.005150f, 0.005463f, + 0.005787f, 0.006172f, 0.006481f, 0.006794f, 0.007156f, 0.007542f, 0.007980f, 0.008430f, + 0.008827f, 0.009361f, 0.009796f, 0.010300f, 0.010910f, 0.011497f, 0.012161f, 0.012672f, + 0.013336f, 0.014183f, 0.014893f, 0.015640f, 0.016541f, 0.017517f, 0.018448f, 0.019485f, + 0.020676f, 0.021912f, 0.023392f, 0.024979f, 0.026627f, 0.028351f, 0.030457f, 0.032806f, + 0.035034f, 0.037933f, 0.041229f, 0.044373f, 0.047821f, 0.052002f, 0.056244f, 0.060547f, + 0.065247f, 0.069885f, 0.390869f, 0.453857f, 0.468018f, 0.475098f, 0.478027f, 0.480469f, + 0.000332f, 0.001075f, 0.001464f, 0.001721f, 0.001911f, 0.002235f, 0.002375f, 0.002558f, + 0.002834f, 0.002998f, 0.003185f, 0.003441f, 0.003647f, 0.003952f, 0.004139f, 0.004421f, + 0.004631f, 0.004879f, 0.005180f, 0.005447f, 0.005795f, 0.006115f, 0.006416f, 0.006718f, + 0.007099f, 0.007462f, 0.007881f, 0.008331f, 0.008797f, 0.009140f, 0.009735f, 0.010223f, + 0.010803f, 0.011337f, 0.011986f, 0.012611f, 0.013283f, 0.014076f, 0.014847f, 0.015732f, + 0.016693f, 0.017700f, 0.018784f, 0.019897f, 0.021317f, 0.022873f, 0.024429f, 0.026306f, + 0.028473f, 0.030960f, 0.033600f, 0.036407f, 0.039856f, 0.043549f, 0.047119f, 0.051392f, + 0.055969f, 0.060394f, 0.379639f, 0.444580f, 0.458984f, 0.467529f, 0.470947f, 0.472900f, + 0.000408f, 0.000770f, 0.001271f, 0.001390f, 0.001601f, 0.001762f, 0.001848f, 0.002052f, + 0.002247f, 0.002401f, 0.002491f, 0.002684f, 0.002878f, 0.003086f, 0.003304f, 0.003452f, + 0.003626f, 0.003805f, 0.004074f, 0.004257f, 0.004513f, 0.004807f, 0.005039f, 0.005299f, + 0.005638f, 0.005905f, 0.006191f, 0.006516f, 0.006927f, 0.007206f, 0.007645f, 0.008034f, + 0.008415f, 0.008911f, 0.009384f, 0.009941f, 0.010483f, 0.011116f, 0.011711f, 0.012428f, + 0.013191f, 0.013969f, 0.014862f, 0.015854f, 0.016785f, 0.017975f, 0.019348f, 0.020721f, + 0.022461f, 0.024445f, 0.026733f, 0.029175f, 0.032227f, 0.035248f, 0.038788f, 0.042755f, + 0.046967f, 0.051636f, 0.367920f, 0.435059f, 0.452148f, 0.459229f, 0.463623f, 0.466797f, + 0.000382f, 0.000669f, 0.001037f, 0.001185f, 0.001293f, 0.001379f, 0.001470f, 0.001565f, + 0.001729f, 0.001864f, 0.001928f, 0.002138f, 0.002237f, 0.002398f, 0.002510f, 0.002672f, + 0.002802f, 0.002966f, 0.003134f, 0.003319f, 0.003517f, 0.003723f, 0.003870f, 0.004089f, + 0.004311f, 0.004532f, 0.004772f, 0.005013f, 0.005314f, 0.005573f, 0.005924f, 0.006203f, + 0.006523f, 0.006897f, 0.007240f, 0.007660f, 0.008041f, 0.008530f, 0.009048f, 0.009621f, + 0.010201f, 0.010841f, 0.011467f, 0.012192f, 0.013138f, 0.013969f, 0.014931f, 0.016113f, + 0.017380f, 0.018936f, 0.020630f, 0.022751f, 0.025208f, 0.027924f, 0.031311f, 0.034851f, + 0.038879f, 0.043274f, 0.356689f, 0.426270f, 0.443848f, 0.451660f, 0.456055f, 0.459473f, + 0.000482f, 0.000542f, 0.000723f, 0.000822f, 0.000881f, 0.001025f, 0.001100f, 0.001209f, + 0.001249f, 0.001355f, 0.001522f, 0.001599f, 0.001708f, 0.001836f, 0.001918f, 0.001970f, + 0.002129f, 0.002251f, 0.002357f, 0.002522f, 0.002636f, 0.002768f, 0.002911f, 0.003056f, + 0.003237f, 0.003393f, 0.003605f, 0.003771f, 0.003994f, 0.004234f, 0.004444f, 0.004635f, + 0.004932f, 0.005150f, 0.005486f, 0.005779f, 0.006081f, 0.006458f, 0.006775f, 0.007179f, + 0.007668f, 0.008110f, 0.008690f, 0.009209f, 0.009926f, 0.010551f, 0.011330f, 0.012184f, + 0.013184f, 0.014297f, 0.015610f, 0.017181f, 0.019165f, 0.021500f, 0.024384f, 0.027618f, + 0.031372f, 0.035614f, 0.345459f, 0.417236f, 0.435303f, 0.443604f, 0.448730f, 0.451904f, + 0.000240f, 0.000479f, 0.000533f, 0.000625f, 0.000716f, 0.000746f, 0.000857f, 0.000835f, + 0.000941f, 0.001024f, 0.001104f, 0.001155f, 0.001204f, 0.001282f, 0.001396f, 0.001453f, + 0.001554f, 0.001627f, 0.001737f, 0.001787f, 0.001894f, 0.002012f, 0.002119f, 0.002218f, + 0.002335f, 0.002453f, 0.002611f, 0.002714f, 0.002848f, 0.003050f, 0.003168f, 0.003395f, + 0.003529f, 0.003740f, 0.003963f, 0.004158f, 0.004429f, 0.004688f, 0.004982f, 0.005280f, + 0.005600f, 0.005959f, 0.006340f, 0.006775f, 0.007252f, 0.007748f, 0.008369f, 0.008980f, + 0.009705f, 0.010513f, 0.011513f, 0.012665f, 0.014069f, 0.015869f, 0.018158f, 0.020950f, + 0.024338f, 0.028366f, 0.335205f, 0.408203f, 0.427002f, 0.435547f, 0.441162f, 0.445312f, + 0.000138f, 0.000265f, 0.000381f, 0.000386f, 0.000465f, 0.000556f, 0.000558f, 0.000597f, + 0.000659f, 0.000748f, 0.000770f, 0.000786f, 0.000829f, 0.000904f, 0.000940f, 0.001021f, + 0.001043f, 0.001139f, 0.001201f, 0.001253f, 0.001327f, 0.001396f, 0.001481f, 0.001555f, + 0.001637f, 0.001712f, 0.001813f, 0.001899f, 0.002005f, 0.002140f, 0.002220f, 0.002348f, + 0.002462f, 0.002600f, 0.002733f, 0.002932f, 0.003075f, 0.003279f, 0.003452f, 0.003630f, + 0.003872f, 0.004166f, 0.004436f, 0.004742f, 0.005077f, 0.005459f, 0.005848f, 0.006310f, + 0.006874f, 0.007492f, 0.008171f, 0.009026f, 0.009995f, 0.011307f, 0.013008f, 0.015343f, + 0.018265f, 0.021881f, 0.323486f, 0.399170f, 0.418945f, 0.428467f, 0.434326f, 0.437988f, + 0.000165f, 0.000260f, 0.000287f, 0.000296f, 0.000331f, 0.000339f, 0.000360f, 0.000395f, + 0.000442f, 0.000482f, 0.000487f, 0.000551f, 0.000546f, 0.000611f, 0.000640f, 0.000667f, + 0.000711f, 0.000742f, 0.000775f, 0.000816f, 0.000876f, 0.000916f, 0.000974f, 0.001015f, + 0.001081f, 0.001123f, 0.001195f, 0.001267f, 0.001317f, 0.001388f, 0.001459f, 0.001558f, + 0.001630f, 0.001718f, 0.001804f, 0.001916f, 0.002033f, 0.002148f, 0.002295f, 0.002455f, + 0.002583f, 0.002754f, 0.002941f, 0.003134f, 0.003386f, 0.003639f, 0.003910f, 0.004215f, + 0.004597f, 0.005013f, 0.005520f, 0.006130f, 0.006821f, 0.007690f, 0.008789f, 0.010452f, + 0.012909f, 0.016174f, 0.312012f, 0.390381f, 0.410645f, 0.420654f, 0.426270f, 0.430664f, + 0.000057f, 0.000171f, 0.000164f, 0.000170f, 0.000211f, 0.000213f, 0.000229f, 0.000247f, + 0.000267f, 0.000279f, 0.000289f, 0.000317f, 0.000349f, 0.000364f, 0.000390f, 0.000407f, + 0.000427f, 0.000467f, 0.000476f, 0.000521f, 0.000537f, 0.000561f, 0.000578f, 0.000626f, + 0.000667f, 0.000714f, 0.000729f, 0.000753f, 0.000806f, 0.000855f, 0.000911f, 0.000945f, + 0.001004f, 0.001054f, 0.001112f, 0.001172f, 0.001251f, 0.001333f, 0.001406f, 0.001489f, + 0.001595f, 0.001694f, 0.001811f, 0.001952f, 0.002090f, 0.002243f, 0.002453f, 0.002638f, + 0.002888f, 0.003143f, 0.003489f, 0.003870f, 0.004353f, 0.004921f, 0.005672f, 0.006664f, + 0.008423f, 0.011230f, 0.301758f, 0.381104f, 0.402832f, 0.413330f, 0.418457f, 0.423828f, + 0.000096f, 0.000112f, 0.000097f, 0.000090f, 0.000113f, 0.000119f, 0.000144f, 0.000149f, + 0.000151f, 0.000158f, 0.000181f, 0.000184f, 0.000179f, 0.000201f, 0.000224f, 0.000216f, + 0.000237f, 0.000255f, 0.000263f, 0.000276f, 0.000297f, 0.000308f, 0.000332f, 0.000347f, + 0.000369f, 0.000395f, 0.000408f, 0.000422f, 0.000447f, 0.000471f, 0.000500f, 0.000531f, + 0.000554f, 0.000583f, 0.000617f, 0.000660f, 0.000690f, 0.000739f, 0.000795f, 0.000833f, + 0.000885f, 0.000948f, 0.001022f, 0.001085f, 0.001175f, 0.001262f, 0.001371f, 0.001487f, + 0.001633f, 0.001778f, 0.001986f, 0.002218f, 0.002502f, 0.002865f, 0.003330f, 0.003979f, + 0.004932f, 0.007000f, 0.291260f, 0.372070f, 0.394043f, 0.404541f, 0.412109f, 0.416260f, + 0.000000f, 0.000056f, 0.000049f, 0.000061f, 0.000064f, 0.000061f, 0.000062f, 0.000071f, + 0.000072f, 0.000088f, 0.000083f, 0.000086f, 0.000097f, 0.000094f, 0.000098f, 0.000105f, + 0.000116f, 0.000122f, 0.000126f, 0.000134f, 0.000137f, 0.000143f, 0.000150f, 0.000164f, + 0.000171f, 0.000183f, 0.000188f, 0.000204f, 0.000214f, 0.000224f, 0.000236f, 0.000255f, + 0.000258f, 0.000277f, 0.000293f, 0.000315f, 0.000328f, 0.000349f, 0.000376f, 0.000396f, + 0.000426f, 0.000454f, 0.000486f, 0.000521f, 0.000563f, 0.000605f, 0.000657f, 0.000714f, + 0.000791f, 0.000866f, 0.000977f, 0.001085f, 0.001243f, 0.001441f, 0.001703f, 0.002058f, + 0.002573f, 0.003740f, 0.280029f, 0.362793f, 0.385742f, 0.397217f, 0.404297f, 0.408936f, + 0.000058f, 0.000038f, 0.000031f, 0.000027f, 0.000025f, 0.000026f, 0.000025f, 0.000024f, + 0.000024f, 0.000027f, 0.000030f, 0.000038f, 0.000032f, 0.000035f, 0.000040f, 0.000041f, + 0.000044f, 0.000045f, 0.000045f, 0.000047f, 0.000052f, 0.000058f, 0.000061f, 0.000059f, + 0.000065f, 0.000067f, 0.000069f, 0.000073f, 0.000078f, 0.000083f, 0.000089f, 0.000091f, + 0.000099f, 0.000103f, 0.000106f, 0.000114f, 0.000124f, 0.000132f, 0.000141f, 0.000150f, + 0.000158f, 0.000164f, 0.000180f, 0.000193f, 0.000205f, 0.000225f, 0.000245f, 0.000267f, + 0.000297f, 0.000329f, 0.000365f, 0.000416f, 0.000479f, 0.000563f, 0.000676f, 0.000839f, + 0.001088f, 0.001589f, 0.270264f, 0.353760f, 0.377197f, 0.390137f, 0.396973f, 0.402100f, + 0.000030f, 0.000019f, 0.000016f, 0.000014f, 0.000013f, 0.000012f, 0.000011f, 0.000011f, + 0.000010f, 0.000010f, 0.000009f, 0.000009f, 0.000009f, 0.000008f, 0.000007f, 0.000009f, + 0.000009f, 0.000008f, 0.000009f, 0.000010f, 0.000011f, 0.000012f, 0.000012f, 0.000014f, + 0.000014f, 0.000014f, 0.000015f, 0.000018f, 0.000017f, 0.000017f, 0.000019f, 0.000020f, + 0.000022f, 0.000022f, 0.000023f, 0.000026f, 0.000028f, 0.000027f, 0.000030f, 0.000032f, + 0.000035f, 0.000038f, 0.000040f, 0.000042f, 0.000045f, 0.000049f, 0.000055f, 0.000060f, + 0.000065f, 0.000074f, 0.000078f, 0.000095f, 0.000109f, 0.000129f, 0.000160f, 0.000205f, + 0.000284f, 0.000452f, 0.259766f, 0.345703f, 0.369629f, 0.382812f, 0.390625f, 0.395264f, + 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, 0.000001f, + 0.000001f, 0.000001f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, 0.000002f, + 0.000002f, 0.000003f, 0.000003f, 0.000004f, 0.000004f, 0.000005f, 0.000006f, 0.000009f, + 0.000012f, 0.000026f, 0.249878f, 0.336182f, 0.362061f, 0.374512f, 0.382080f, 0.387695f, + }}; /* 4 different blue noise, one per channel */ static float blue_noise[64 * 64][4] = { - {0.367188f, 0.855469f, 0.523438f, 0.375000f}, {0.242188f, 0.699219f, 0.164062f, 0.292969f}, - {0.828125f, 0.257812f, 0.449219f, 0.679688f}, {0.128906f, 0.523438f, 0.058594f, 0.164062f}, - {0.214844f, 0.648438f, 0.750000f, 0.492188f}, {0.535156f, 0.226562f, 0.492188f, 0.429688f}, - {0.050781f, 0.425781f, 0.886719f, 0.019531f}, {0.199219f, 0.785156f, 0.378906f, 0.984375f}, - {0.390625f, 0.039062f, 0.222656f, 0.777344f}, {0.574219f, 0.460938f, 0.687500f, 0.085938f}, - {0.757812f, 0.117188f, 0.968750f, 0.343750f}, {0.109375f, 0.398438f, 0.500000f, 0.871094f}, - {0.871094f, 0.796875f, 0.628906f, 0.132812f}, {0.289062f, 0.480469f, 0.851562f, 0.484375f}, - {0.519531f, 0.035156f, 0.234375f, 0.832031f}, {0.390625f, 0.558594f, 0.738281f, 0.636719f}, - {0.015625f, 0.648438f, 0.910156f, 0.507812f}, {0.199219f, 0.257812f, 0.640625f, 0.578125f}, - {0.359375f, 0.976562f, 0.855469f, 0.726562f}, {0.523438f, 0.445312f, 0.335938f, 0.304688f}, - {0.046875f, 0.296875f, 0.921875f, 0.687500f}, {0.476562f, 0.929688f, 0.777344f, 0.164062f}, - {0.726562f, 0.515625f, 0.398438f, 0.781250f}, {0.652344f, 0.156250f, 0.191406f, 0.015625f}, - {0.300781f, 0.695312f, 0.011719f, 0.417969f}, {0.433594f, 0.882812f, 0.738281f, 0.843750f}, - {0.890625f, 0.308594f, 0.523438f, 0.496094f}, {0.589844f, 0.730469f, 0.050781f, 0.886719f}, - {0.738281f, 0.539062f, 0.683594f, 0.640625f}, {0.421875f, 0.191406f, 0.265625f, 0.996094f}, - {0.609375f, 0.339844f, 0.617188f, 0.066406f}, {0.371094f, 0.398438f, 0.378906f, 0.898438f}, - {0.937500f, 0.578125f, 0.136719f, 0.136719f}, {0.453125f, 0.820312f, 0.664062f, 0.968750f}, - {0.828125f, 0.070312f, 0.316406f, 0.328125f}, {0.558594f, 0.714844f, 0.593750f, 0.714844f}, - {0.351562f, 0.781250f, 0.355469f, 0.804688f}, {0.203125f, 0.398438f, 0.214844f, 0.519531f}, - {0.785156f, 0.207031f, 0.398438f, 0.453125f}, {0.617188f, 0.289062f, 0.281250f, 0.257812f}, - {0.171875f, 0.609375f, 0.792969f, 0.027344f}, {0.539062f, 0.871094f, 0.007812f, 0.886719f}, - {0.019531f, 0.246094f, 0.226562f, 0.363281f}, {0.988281f, 0.582031f, 0.777344f, 0.054688f}, - {0.468750f, 0.933594f, 0.312500f, 0.246094f}, {0.218750f, 0.015625f, 0.851562f, 0.167969f}, - {0.566406f, 0.699219f, 0.519531f, 0.902344f}, {0.125000f, 0.507812f, 0.136719f, 0.386719f}, - {0.296875f, 0.812500f, 0.558594f, 0.203125f}, {0.402344f, 0.199219f, 0.058594f, 0.875000f}, - {0.898438f, 0.386719f, 0.664062f, 0.660156f}, {0.027344f, 0.078125f, 0.296875f, 0.453125f}, - {0.667969f, 0.828125f, 0.808594f, 0.171875f}, {0.257812f, 0.535156f, 0.464844f, 0.914062f}, - {0.597656f, 0.363281f, 0.886719f, 0.718750f}, {0.332031f, 0.042969f, 0.683594f, 0.003906f}, - {0.632812f, 0.480469f, 0.429688f, 0.425781f}, {0.226562f, 0.910156f, 0.566406f, 0.558594f}, - {0.496094f, 0.062500f, 0.863281f, 0.226562f}, {0.105469f, 0.976562f, 0.707031f, 0.941406f}, - {0.394531f, 0.203125f, 0.285156f, 0.277344f}, {0.003906f, 0.804688f, 0.781250f, 0.050781f}, - {0.210938f, 0.289062f, 0.117188f, 0.601562f}, {0.972656f, 0.179688f, 0.589844f, 0.144531f}, - {0.152344f, 0.359375f, 0.730469f, 0.449219f}, {0.765625f, 0.105469f, 0.292969f, 0.101562f}, - {0.519531f, 0.812500f, 0.617188f, 0.976562f}, {0.988281f, 0.960938f, 0.902344f, 0.054688f}, - {0.457031f, 0.738281f, 0.335938f, 0.875000f}, {0.871094f, 0.121094f, 0.195312f, 0.210938f}, - {0.781250f, 0.296875f, 0.539062f, 0.585938f}, {0.636719f, 0.667969f, 0.621094f, 0.328125f}, - {0.324219f, 0.929688f, 0.855469f, 0.148438f}, {0.984375f, 0.718750f, 0.421875f, 0.824219f}, - {0.500000f, 0.308594f, 0.757812f, 0.699219f}, {0.664062f, 0.214844f, 0.269531f, 0.558594f}, - {0.414062f, 0.984375f, 0.074219f, 0.757812f}, {0.589844f, 0.339844f, 0.925781f, 0.273438f}, - {0.089844f, 0.847656f, 0.316406f, 0.398438f}, {0.695312f, 0.921875f, 0.460938f, 0.890625f}, - {0.894531f, 0.093750f, 0.113281f, 0.347656f}, {0.562500f, 0.386719f, 0.289062f, 0.964844f}, - {0.121094f, 0.820312f, 0.003906f, 0.214844f}, {0.765625f, 0.187500f, 0.710938f, 0.914062f}, - {0.878906f, 0.773438f, 0.445312f, 0.078125f}, {0.218750f, 0.117188f, 0.613281f, 0.617188f}, - {0.085938f, 0.652344f, 0.996094f, 0.339844f}, {0.863281f, 0.359375f, 0.496094f, 0.531250f}, - {0.148438f, 0.437500f, 0.320312f, 0.695312f}, {0.503906f, 0.613281f, 0.792969f, 0.082031f}, - {0.097656f, 0.109375f, 0.960938f, 0.238281f}, {0.246094f, 0.914062f, 0.414062f, 0.328125f}, - {0.011719f, 0.648438f, 0.828125f, 0.738281f}, {0.980469f, 0.457031f, 0.343750f, 0.117188f}, - {0.140625f, 0.937500f, 0.976562f, 0.601562f}, {0.234375f, 0.867188f, 0.574219f, 0.230469f}, - {0.542969f, 0.519531f, 0.902344f, 0.402344f}, {0.027344f, 0.300781f, 0.253906f, 0.503906f}, - {0.757812f, 0.964844f, 0.949219f, 0.058594f}, {0.152344f, 0.234375f, 0.039062f, 0.925781f}, - {0.687500f, 0.628906f, 0.492188f, 0.386719f}, {0.929688f, 0.546875f, 0.667969f, 0.109375f}, - {0.269531f, 0.136719f, 0.964844f, 0.617188f}, {0.320312f, 0.464844f, 0.542969f, 0.972656f}, - {0.960938f, 0.960938f, 0.171875f, 0.093750f}, {0.355469f, 0.523438f, 0.429688f, 0.765625f}, - {0.246094f, 0.328125f, 0.992188f, 0.496094f}, {0.648438f, 0.074219f, 0.097656f, 0.605469f}, - {0.144531f, 0.648438f, 0.476562f, 0.808594f}, {0.855469f, 0.832031f, 0.195312f, 0.546875f}, - {0.925781f, 0.414062f, 0.960938f, 0.675781f}, {0.000000f, 0.113281f, 0.746094f, 0.835938f}, - {0.828125f, 0.324219f, 0.613281f, 0.500000f}, {0.699219f, 0.738281f, 0.332031f, 0.125000f}, - {0.542969f, 0.906250f, 0.898438f, 0.250000f}, {0.105469f, 0.632812f, 0.511719f, 0.062500f}, - {0.433594f, 0.273438f, 0.097656f, 0.816406f}, {0.511719f, 0.707031f, 0.593750f, 0.632812f}, - {0.179688f, 0.980469f, 0.367188f, 0.335938f}, {0.882812f, 0.113281f, 0.031250f, 0.980469f}, - {0.410156f, 0.656250f, 0.253906f, 0.675781f}, {0.039062f, 0.300781f, 0.785156f, 0.800781f}, - {0.695312f, 0.382812f, 0.386719f, 0.156250f}, {0.847656f, 0.457031f, 0.000000f, 0.847656f}, - {0.945312f, 0.542969f, 0.664062f, 0.683594f}, {0.730469f, 0.707031f, 0.238281f, 0.535156f}, - {0.472656f, 0.921875f, 0.871094f, 0.910156f}, {0.867188f, 0.601562f, 0.031250f, 0.812500f}, - {0.632812f, 0.769531f, 0.925781f, 0.625000f}, {0.433594f, 0.558594f, 0.078125f, 0.851562f}, - {0.015625f, 0.187500f, 0.792969f, 0.515625f}, {0.343750f, 0.386719f, 0.562500f, 0.773438f}, - {0.679688f, 0.035156f, 0.121094f, 0.347656f}, {0.300781f, 0.582031f, 0.703125f, 0.660156f}, - {0.152344f, 0.878906f, 0.929688f, 0.902344f}, {0.433594f, 0.507812f, 0.093750f, 0.460938f}, - {0.714844f, 0.171875f, 0.042969f, 0.531250f}, {0.828125f, 0.550781f, 0.312500f, 0.945312f}, - {0.011719f, 0.894531f, 0.136719f, 0.417969f}, {0.257812f, 0.046875f, 0.562500f, 0.226562f}, - {0.187500f, 0.601562f, 0.800781f, 0.929688f}, {0.949219f, 0.128906f, 0.437500f, 0.613281f}, - {0.816406f, 0.277344f, 0.054688f, 0.035156f}, {0.226562f, 0.425781f, 0.542969f, 0.183594f}, - {0.628906f, 0.750000f, 0.984375f, 0.113281f}, {0.839844f, 0.003906f, 0.792969f, 0.796875f}, - {0.269531f, 0.324219f, 0.496094f, 0.003906f}, {0.683594f, 0.601562f, 0.574219f, 0.546875f}, - {0.957031f, 0.703125f, 0.164062f, 0.378906f}, {0.605469f, 0.398438f, 0.078125f, 0.855469f}, - {0.449219f, 0.250000f, 0.257812f, 0.988281f}, {0.367188f, 0.964844f, 0.859375f, 0.195312f}, - {0.820312f, 0.007812f, 0.125000f, 0.753906f}, {0.625000f, 0.832031f, 0.453125f, 0.609375f}, - {0.929688f, 0.230469f, 0.246094f, 0.925781f}, {0.394531f, 0.375000f, 0.097656f, 0.550781f}, - {0.558594f, 0.148438f, 0.183594f, 0.191406f}, {0.480469f, 0.796875f, 0.488281f, 0.785156f}, - {0.714844f, 0.250000f, 0.011719f, 0.296875f}, {0.660156f, 0.085938f, 0.804688f, 0.691406f}, - {0.890625f, 0.695312f, 0.101562f, 0.855469f}, {0.320312f, 0.195312f, 0.441406f, 0.761719f}, - {0.265625f, 0.375000f, 0.765625f, 0.191406f}, {0.996094f, 0.113281f, 0.832031f, 0.585938f}, - {0.101562f, 0.882812f, 0.152344f, 0.285156f}, {0.468750f, 0.332031f, 0.722656f, 0.882812f}, - {0.656250f, 0.816406f, 0.105469f, 0.339844f}, {0.035156f, 0.703125f, 0.855469f, 0.687500f}, - {0.738281f, 0.003906f, 0.601562f, 0.566406f}, {0.441406f, 0.664062f, 0.703125f, 0.843750f}, - {0.875000f, 0.789062f, 0.839844f, 0.187500f}, {0.781250f, 0.457031f, 0.640625f, 0.996094f}, - {0.050781f, 0.210938f, 0.355469f, 0.332031f}, {0.363281f, 0.351562f, 0.039062f, 0.421875f}, - {0.429688f, 0.550781f, 0.699219f, 0.089844f}, {0.753906f, 0.917969f, 0.269531f, 0.285156f}, - {0.496094f, 0.058594f, 0.929688f, 0.980469f}, {0.343750f, 0.445312f, 0.445312f, 0.566406f}, - {0.152344f, 0.160156f, 0.003906f, 0.750000f}, {0.738281f, 0.570312f, 0.847656f, 0.941406f}, - {0.808594f, 0.027344f, 0.167969f, 0.292969f}, {0.992188f, 0.867188f, 0.921875f, 0.519531f}, - {0.074219f, 0.187500f, 0.761719f, 0.199219f}, {0.750000f, 0.597656f, 0.312500f, 0.472656f}, - {0.277344f, 0.753906f, 0.945312f, 0.089844f}, {0.796875f, 0.820312f, 0.511719f, 0.375000f}, - {0.542969f, 0.878906f, 0.191406f, 0.503906f}, {0.175781f, 0.632812f, 0.597656f, 0.109375f}, - {0.257812f, 0.335938f, 0.980469f, 0.339844f}, {0.664062f, 0.000000f, 0.542969f, 0.417969f}, - {0.324219f, 0.144531f, 0.410156f, 0.078125f}, {0.062500f, 0.437500f, 0.472656f, 0.250000f}, - {0.925781f, 0.058594f, 0.636719f, 0.332031f}, {0.269531f, 0.671875f, 0.234375f, 0.175781f}, - {0.714844f, 0.285156f, 0.382812f, 0.574219f}, {0.570312f, 0.906250f, 0.988281f, 0.414062f}, - {0.097656f, 0.460938f, 0.425781f, 0.257812f}, {0.953125f, 0.796875f, 0.265625f, 0.117188f}, - {0.589844f, 0.367188f, 0.777344f, 0.746094f}, {0.035156f, 0.082031f, 0.457031f, 0.062500f}, - {0.226562f, 0.253906f, 0.953125f, 0.628906f}, {0.527344f, 0.417969f, 0.519531f, 0.261719f}, - {0.132812f, 0.812500f, 0.828125f, 0.000000f}, {0.906250f, 0.660156f, 0.386719f, 0.367188f}, - {0.742188f, 0.500000f, 0.207031f, 0.093750f}, {0.359375f, 0.769531f, 0.609375f, 0.718750f}, - {0.480469f, 0.695312f, 0.679688f, 0.539062f}, {0.144531f, 0.179688f, 0.757812f, 0.765625f}, - {0.332031f, 0.625000f, 0.179688f, 0.679688f}, {0.445312f, 0.492188f, 0.378906f, 0.425781f}, - {0.035156f, 0.550781f, 0.230469f, 0.476562f}, {0.402344f, 0.898438f, 0.898438f, 0.652344f}, - {0.156250f, 0.046875f, 0.820312f, 0.132812f}, {0.328125f, 0.484375f, 0.679688f, 0.246094f}, - {0.746094f, 0.750000f, 0.363281f, 0.453125f}, {0.238281f, 0.863281f, 0.558594f, 0.105469f}, - {0.023438f, 0.289062f, 0.648438f, 0.292969f}, {0.683594f, 0.566406f, 0.906250f, 0.804688f}, - {0.335938f, 0.773438f, 0.601562f, 0.375000f}, {0.781250f, 0.496094f, 0.710938f, 0.023438f}, - {0.847656f, 0.996094f, 0.929688f, 0.425781f}, {0.308594f, 0.027344f, 0.656250f, 0.871094f}, - {0.183594f, 0.625000f, 0.292969f, 0.480469f}, {0.089844f, 0.753906f, 0.164062f, 0.363281f}, - {0.804688f, 0.476562f, 0.687500f, 0.011719f}, {0.503906f, 0.910156f, 0.523438f, 0.644531f}, - {0.605469f, 0.609375f, 0.203125f, 0.441406f}, {0.417969f, 0.742188f, 0.621094f, 0.085938f}, - {0.839844f, 0.441406f, 0.296875f, 0.679688f}, {0.531250f, 0.042969f, 0.929688f, 0.781250f}, - {0.378906f, 0.929688f, 0.460938f, 0.148438f}, {0.902344f, 0.238281f, 0.050781f, 0.222656f}, - {0.570312f, 0.378906f, 0.328125f, 0.390625f}, {0.105469f, 0.121094f, 0.253906f, 0.460938f}, - {0.500000f, 0.906250f, 0.515625f, 0.281250f}, {0.296875f, 0.160156f, 0.148438f, 0.664062f}, - {0.699219f, 0.722656f, 0.757812f, 0.007812f}, {0.539062f, 0.968750f, 0.589844f, 0.914062f}, - {0.253906f, 0.246094f, 0.406250f, 0.769531f}, {0.609375f, 0.613281f, 0.105469f, 0.707031f}, - {0.195312f, 0.687500f, 0.179688f, 0.031250f}, {0.949219f, 0.523438f, 0.785156f, 0.339844f}, - {0.863281f, 0.804688f, 0.234375f, 0.433594f}, {0.230469f, 0.355469f, 0.648438f, 0.687500f}, - {0.304688f, 0.757812f, 0.421875f, 0.378906f}, {0.375000f, 0.464844f, 0.539062f, 0.046875f}, - {0.558594f, 0.324219f, 0.214844f, 0.761719f}, {0.679688f, 0.410156f, 0.074219f, 0.839844f}, - {0.464844f, 0.519531f, 0.710938f, 0.281250f}, {0.968750f, 0.152344f, 0.140625f, 0.925781f}, - {0.359375f, 0.230469f, 0.902344f, 0.609375f}, {0.593750f, 0.097656f, 0.457031f, 0.761719f}, - {0.441406f, 0.785156f, 0.058594f, 0.960938f}, {0.125000f, 0.890625f, 0.312500f, 0.203125f}, - {0.812500f, 0.488281f, 0.804688f, 0.878906f}, {0.558594f, 0.992188f, 0.175781f, 0.742188f}, - {0.179688f, 0.222656f, 0.343750f, 0.039062f}, {0.789062f, 0.871094f, 0.843750f, 0.949219f}, - {0.902344f, 0.503906f, 0.507812f, 0.718750f}, {0.402344f, 0.625000f, 0.027344f, 0.011719f}, - {0.195312f, 0.152344f, 0.605469f, 0.929688f}, {0.753906f, 0.214844f, 0.160156f, 0.839844f}, - {0.488281f, 0.687500f, 0.671875f, 0.390625f}, {0.851562f, 0.992188f, 0.363281f, 0.191406f}, - {0.933594f, 0.617188f, 0.230469f, 0.308594f}, {0.375000f, 0.746094f, 0.656250f, 0.867188f}, - {0.613281f, 0.105469f, 0.898438f, 0.671875f}, {0.316406f, 0.371094f, 0.714844f, 0.503906f}, - {0.687500f, 0.234375f, 0.031250f, 0.808594f}, {0.550781f, 0.957031f, 0.957031f, 0.433594f}, - {0.023438f, 0.539062f, 0.351562f, 0.308594f}, {0.964844f, 0.359375f, 0.261719f, 0.980469f}, - {0.750000f, 0.941406f, 0.863281f, 0.234375f}, {0.906250f, 0.863281f, 0.605469f, 0.863281f}, - {0.503906f, 0.109375f, 0.093750f, 0.289062f}, {0.582031f, 0.238281f, 0.414062f, 0.949219f}, - {0.792969f, 0.992188f, 0.308594f, 0.757812f}, {0.062500f, 0.164062f, 0.039062f, 0.816406f}, - {0.902344f, 0.542969f, 0.933594f, 0.675781f}, {0.554688f, 0.085938f, 0.726562f, 0.507812f}, - {0.984375f, 0.460938f, 0.175781f, 0.890625f}, {0.468750f, 0.179688f, 0.027344f, 0.140625f}, - {0.125000f, 0.679688f, 0.304688f, 0.468750f}, {0.203125f, 0.058594f, 0.531250f, 0.953125f}, - {0.070312f, 0.328125f, 0.375000f, 0.667969f}, {0.746094f, 0.554688f, 0.785156f, 0.578125f}, - {0.917969f, 0.421875f, 0.558594f, 0.089844f}, {0.445312f, 0.289062f, 0.855469f, 0.937500f}, - {0.378906f, 0.156250f, 0.398438f, 0.539062f}, {0.066406f, 0.015625f, 0.335938f, 0.265625f}, - {0.730469f, 0.812500f, 0.878906f, 0.820312f}, {0.191406f, 0.535156f, 0.015625f, 0.988281f}, - {0.046875f, 0.171875f, 0.554688f, 0.484375f}, {0.777344f, 0.656250f, 0.375000f, 0.015625f}, - {0.230469f, 0.488281f, 0.238281f, 0.535156f}, {0.144531f, 0.578125f, 0.750000f, 0.910156f}, - {0.812500f, 0.757812f, 0.910156f, 0.714844f}, {0.207031f, 0.429688f, 0.386719f, 0.042969f}, - {0.945312f, 0.292969f, 0.023438f, 0.136719f}, {0.597656f, 0.859375f, 0.941406f, 0.742188f}, - {0.171875f, 0.593750f, 0.289062f, 0.519531f}, {0.914062f, 0.031250f, 0.886719f, 0.234375f}, - {0.808594f, 0.773438f, 0.824219f, 0.160156f}, {0.082031f, 0.132812f, 0.496094f, 0.464844f}, - {0.664062f, 0.871094f, 0.675781f, 0.597656f}, {0.042969f, 0.289062f, 0.546875f, 0.195312f}, - {0.453125f, 0.996094f, 0.363281f, 0.859375f}, {0.585938f, 0.226562f, 0.718750f, 0.140625f}, - {0.648438f, 0.093750f, 0.277344f, 0.609375f}, {0.035156f, 0.933594f, 0.980469f, 0.898438f}, - {0.910156f, 0.671875f, 0.625000f, 0.410156f}, {0.210938f, 0.246094f, 0.472656f, 0.578125f}, - {0.136719f, 0.960938f, 0.832031f, 0.031250f}, {0.066406f, 0.054688f, 0.656250f, 0.660156f}, - {0.898438f, 0.714844f, 0.347656f, 0.218750f}, {0.765625f, 0.589844f, 0.820312f, 0.449219f}, - {0.023438f, 0.398438f, 0.734375f, 0.011719f}, {0.960938f, 0.253906f, 0.132812f, 0.582031f}, - {0.378906f, 0.644531f, 0.945312f, 0.480469f}, {0.496094f, 0.320312f, 0.683594f, 0.656250f}, - {0.085938f, 0.722656f, 0.105469f, 0.386719f}, {0.316406f, 0.414062f, 0.753906f, 0.226562f}, - {0.046875f, 0.011719f, 0.199219f, 0.464844f}, {0.621094f, 0.968750f, 0.714844f, 0.300781f}, - {0.878906f, 0.726562f, 0.863281f, 0.593750f}, {0.257812f, 0.312500f, 0.324219f, 0.523438f}, - {0.347656f, 0.835938f, 0.816406f, 0.687500f}, {0.074219f, 0.480469f, 0.000000f, 0.972656f}, - {0.656250f, 0.007812f, 0.578125f, 0.785156f}, {0.792969f, 0.914062f, 0.152344f, 0.570312f}, - {0.464844f, 0.292969f, 0.292969f, 0.152344f}, {0.863281f, 0.843750f, 0.101562f, 0.957031f}, - {0.066406f, 0.449219f, 0.484375f, 0.199219f}, {0.437500f, 0.019531f, 0.878906f, 0.886719f}, - {0.800781f, 0.074219f, 0.132812f, 0.136719f}, {0.296875f, 0.800781f, 0.511719f, 0.488281f}, - {0.656250f, 0.253906f, 0.019531f, 0.371094f}, {0.101562f, 0.148438f, 0.726562f, 0.609375f}, - {0.203125f, 0.664062f, 0.660156f, 0.089844f}, {0.976562f, 0.437500f, 0.972656f, 0.175781f}, - {0.289062f, 0.781250f, 0.765625f, 0.578125f}, {0.660156f, 0.343750f, 0.519531f, 0.312500f}, - {0.507812f, 0.625000f, 0.441406f, 0.019531f}, {0.175781f, 0.933594f, 0.230469f, 0.394531f}, - {0.796875f, 0.722656f, 0.824219f, 0.570312f}, {0.277344f, 0.410156f, 0.406250f, 0.226562f}, - {0.597656f, 0.949219f, 0.761719f, 0.707031f}, {0.949219f, 0.609375f, 0.882812f, 0.070312f}, - {0.519531f, 0.859375f, 0.128906f, 0.273438f}, {0.632812f, 0.203125f, 0.042969f, 0.156250f}, - {0.265625f, 0.890625f, 0.449219f, 0.812500f}, {0.585938f, 0.664062f, 0.230469f, 0.210938f}, - {0.968750f, 0.960938f, 0.742188f, 0.726562f}, {0.226562f, 0.339844f, 0.992188f, 0.117188f}, - {0.875000f, 0.410156f, 0.093750f, 0.894531f}, {0.640625f, 0.261719f, 0.710938f, 0.324219f}, - {0.917969f, 0.980469f, 0.425781f, 0.234375f}, {0.308594f, 0.300781f, 0.804688f, 0.628906f}, - {0.589844f, 0.105469f, 0.648438f, 0.421875f}, {0.714844f, 0.847656f, 0.125000f, 0.808594f}, - {0.406250f, 0.187500f, 0.480469f, 0.300781f}, {0.667969f, 0.992188f, 0.679688f, 0.960938f}, - {0.070312f, 0.542969f, 0.800781f, 0.859375f}, {0.835938f, 0.082031f, 0.554688f, 0.578125f}, - {0.398438f, 0.496094f, 0.449219f, 0.402344f}, {0.113281f, 0.398438f, 0.222656f, 0.828125f}, - {0.460938f, 0.308594f, 0.054688f, 0.625000f}, {0.976562f, 0.472656f, 0.984375f, 0.375000f}, - {0.281250f, 0.203125f, 0.312500f, 0.937500f}, {0.386719f, 0.000000f, 0.875000f, 0.785156f}, - {0.785156f, 0.402344f, 0.078125f, 0.527344f}, {0.117188f, 0.644531f, 0.812500f, 0.082031f}, - {0.941406f, 0.503906f, 0.132812f, 0.972656f}, {0.488281f, 0.140625f, 0.023438f, 0.238281f}, - {0.832031f, 0.843750f, 0.859375f, 0.167969f}, {0.335938f, 0.011719f, 0.382812f, 0.730469f}, - {0.628906f, 0.777344f, 0.570312f, 0.875000f}, {0.527344f, 0.355469f, 0.285156f, 0.132812f}, - {0.234375f, 0.472656f, 0.093750f, 0.312500f}, {0.308594f, 0.941406f, 0.214844f, 0.820312f}, - {0.640625f, 0.164062f, 0.628906f, 0.714844f}, {0.871094f, 0.832031f, 0.390625f, 0.156250f}, - {0.218750f, 0.531250f, 0.265625f, 0.289062f}, {0.699219f, 0.117188f, 0.550781f, 0.796875f}, - {0.980469f, 0.578125f, 0.890625f, 0.125000f}, {0.523438f, 0.824219f, 0.460938f, 0.890625f}, - {0.445312f, 0.347656f, 0.285156f, 0.675781f}, {0.816406f, 0.097656f, 0.949219f, 0.781250f}, - {0.140625f, 0.550781f, 0.089844f, 0.160156f}, {0.675781f, 0.421875f, 0.484375f, 0.074219f}, - {0.542969f, 0.062500f, 0.535156f, 0.230469f}, {0.421875f, 0.570312f, 0.886719f, 0.484375f}, - {0.167969f, 0.339844f, 0.734375f, 0.035156f}, {0.277344f, 0.199219f, 0.425781f, 0.441406f}, - {0.093750f, 0.527344f, 0.996094f, 0.714844f}, {0.214844f, 0.148438f, 0.632812f, 0.335938f}, - {0.941406f, 0.585938f, 0.242188f, 0.593750f}, {0.160156f, 0.886719f, 0.410156f, 0.652344f}, - {0.597656f, 0.679688f, 0.812500f, 0.019531f}, {0.242188f, 0.312500f, 0.585938f, 0.562500f}, - {0.531250f, 0.460938f, 0.937500f, 0.921875f}, {0.375000f, 0.734375f, 0.328125f, 0.054688f}, - {0.703125f, 0.382812f, 0.472656f, 0.734375f}, {0.824219f, 0.835938f, 0.140625f, 0.519531f}, - {0.441406f, 0.289062f, 0.203125f, 0.414062f}, {0.121094f, 0.691406f, 0.628906f, 0.925781f}, - {0.378906f, 0.019531f, 0.105469f, 0.082031f}, {0.714844f, 0.222656f, 0.347656f, 0.734375f}, - {0.046875f, 0.816406f, 0.968750f, 0.976562f}, {0.421875f, 0.320312f, 0.078125f, 0.628906f}, - {0.871094f, 0.097656f, 0.484375f, 0.835938f}, {0.695312f, 0.265625f, 0.207031f, 0.332031f}, - {0.351562f, 0.718750f, 0.273438f, 0.761719f}, {0.406250f, 0.382812f, 0.957031f, 0.511719f}, - {0.042969f, 0.785156f, 0.628906f, 0.980469f}, {0.832031f, 0.117188f, 0.910156f, 0.343750f}, - {0.144531f, 0.500000f, 0.058594f, 0.421875f}, {0.699219f, 0.843750f, 0.589844f, 0.601562f}, - {0.546875f, 0.574219f, 0.488281f, 0.164062f}, {0.363281f, 0.054688f, 0.265625f, 0.390625f}, - {0.128906f, 0.785156f, 0.949219f, 0.746094f}, {0.492188f, 0.691406f, 0.175781f, 0.949219f}, - {0.972656f, 0.902344f, 0.894531f, 0.183594f}, {0.027344f, 0.359375f, 0.570312f, 0.070312f}, - {0.273438f, 0.062500f, 0.207031f, 0.500000f}, {0.472656f, 0.730469f, 0.972656f, 0.613281f}, - {0.351562f, 0.640625f, 0.089844f, 0.363281f}, {0.742188f, 0.226562f, 0.187500f, 0.195312f}, - {0.234375f, 0.699219f, 0.730469f, 0.945312f}, {0.625000f, 0.945312f, 0.636719f, 0.082031f}, - {0.328125f, 0.839844f, 0.378906f, 0.312500f}, {0.707031f, 0.652344f, 0.574219f, 0.875000f}, - {0.566406f, 0.742188f, 0.148438f, 0.050781f}, {0.882812f, 0.921875f, 0.460938f, 0.246094f}, - {0.519531f, 0.585938f, 0.917969f, 0.656250f}, {0.730469f, 0.718750f, 0.597656f, 0.316406f}, - {0.261719f, 0.808594f, 0.500000f, 0.460938f}, {0.171875f, 0.285156f, 0.324219f, 0.796875f}, - {0.773438f, 0.562500f, 0.746094f, 0.546875f}, {0.433594f, 0.429688f, 0.183594f, 0.343750f}, - {0.726562f, 0.628906f, 0.050781f, 0.488281f}, {0.859375f, 0.898438f, 0.972656f, 0.996094f}, - {0.402344f, 0.542969f, 0.429688f, 0.402344f}, {0.101562f, 0.304688f, 0.535156f, 0.542969f}, - {0.476562f, 0.675781f, 0.863281f, 0.902344f}, {0.734375f, 0.035156f, 0.488281f, 0.359375f}, - {0.289062f, 0.761719f, 0.773438f, 0.976562f}, {0.589844f, 0.949219f, 0.007812f, 0.519531f}, - {0.843750f, 0.269531f, 0.417969f, 0.835938f}, {0.664062f, 0.183594f, 0.144531f, 0.554688f}, - {0.226562f, 0.652344f, 0.656250f, 0.085938f}, {0.367188f, 0.789062f, 0.562500f, 0.957031f}, - {0.972656f, 0.238281f, 0.394531f, 0.433594f}, {0.000000f, 0.894531f, 0.207031f, 0.644531f}, - {0.777344f, 0.136719f, 0.968750f, 0.820312f}, {0.910156f, 0.949219f, 0.261719f, 0.355469f}, - {0.722656f, 0.785156f, 0.070312f, 0.917969f}, {0.996094f, 0.707031f, 0.792969f, 0.105469f}, - {0.562500f, 0.644531f, 0.511719f, 0.246094f}, {0.648438f, 0.937500f, 0.335938f, 0.851562f}, - {0.398438f, 0.738281f, 0.777344f, 0.078125f}, {0.832031f, 0.410156f, 0.695312f, 0.285156f}, - {0.722656f, 0.210938f, 0.167969f, 0.785156f}, {0.042969f, 0.609375f, 0.296875f, 0.214844f}, - {0.863281f, 0.976562f, 0.441406f, 0.824219f}, {0.167969f, 0.027344f, 0.066406f, 0.664062f}, - {0.609375f, 0.562500f, 0.828125f, 0.347656f}, {0.000000f, 0.191406f, 0.562500f, 0.839844f}, - {0.250000f, 0.070312f, 0.281250f, 0.207031f}, {0.875000f, 0.875000f, 0.917969f, 0.644531f}, - {0.941406f, 0.523438f, 0.781250f, 0.867188f}, {0.617188f, 0.378906f, 0.687500f, 0.343750f}, - {0.316406f, 0.132812f, 0.546875f, 0.171875f}, {0.542969f, 0.574219f, 0.609375f, 0.101562f}, - {0.230469f, 0.484375f, 0.851562f, 0.433594f}, {0.007812f, 0.828125f, 0.671875f, 0.910156f}, - {0.160156f, 0.160156f, 0.734375f, 0.605469f}, {0.890625f, 0.527344f, 0.351562f, 0.394531f}, - {0.757812f, 0.042969f, 0.511719f, 0.039062f}, {0.507812f, 0.593750f, 0.144531f, 0.640625f}, - {0.335938f, 0.238281f, 0.316406f, 0.781250f}, {0.464844f, 0.726562f, 0.191406f, 0.500000f}, - {0.000000f, 0.093750f, 0.667969f, 0.707031f}, {0.273438f, 0.636719f, 0.843750f, 0.031250f}, - {0.746094f, 0.210938f, 0.101562f, 0.570312f}, {0.437500f, 0.421875f, 0.343750f, 0.832031f}, - {0.625000f, 0.519531f, 0.027344f, 0.355469f}, {0.824219f, 0.613281f, 0.777344f, 0.667969f}, - {0.886719f, 0.261719f, 0.296875f, 0.121094f}, {0.554688f, 0.476562f, 0.609375f, 0.777344f}, - {0.992188f, 0.328125f, 0.417969f, 0.253906f}, {0.007812f, 0.812500f, 0.339844f, 0.050781f}, - {0.519531f, 0.371094f, 0.921875f, 0.476562f}, {0.867188f, 0.167969f, 0.121094f, 0.660156f}, - {0.773438f, 0.054688f, 0.789062f, 0.718750f}, {0.066406f, 0.535156f, 0.253906f, 0.128906f}, - {0.156250f, 0.343750f, 0.753906f, 0.503906f}, {0.218750f, 0.437500f, 0.027344f, 0.410156f}, - {0.347656f, 0.070312f, 0.398438f, 0.839844f}, {0.019531f, 0.175781f, 0.222656f, 0.714844f}, - {0.410156f, 0.375000f, 0.953125f, 0.011719f}, {0.605469f, 0.886719f, 0.652344f, 0.640625f}, - {0.093750f, 0.082031f, 0.414062f, 0.097656f}, {0.289062f, 0.707031f, 0.886719f, 0.269531f}, - {0.003906f, 0.195312f, 0.242188f, 0.691406f}, {0.980469f, 0.261719f, 0.781250f, 0.070312f}, - {0.671875f, 0.070312f, 0.722656f, 0.621094f}, {0.820312f, 0.851562f, 0.914062f, 0.250000f}, - {0.550781f, 0.429688f, 0.164062f, 0.097656f}, {0.140625f, 0.210938f, 0.082031f, 0.671875f}, - {0.042969f, 0.367188f, 0.996094f, 0.054688f}, {0.394531f, 0.457031f, 0.605469f, 0.613281f}, - {0.164062f, 0.695312f, 0.312500f, 0.417969f}, {0.109375f, 0.132812f, 0.929688f, 0.320312f}, - {0.734375f, 0.937500f, 0.800781f, 0.207031f}, {0.578125f, 0.476562f, 0.039062f, 0.367188f}, - {0.500000f, 0.382812f, 0.761719f, 0.859375f}, {0.304688f, 0.750000f, 0.628906f, 0.273438f}, - {0.207031f, 0.617188f, 0.121094f, 0.730469f}, {0.597656f, 0.269531f, 0.683594f, 0.140625f}, - {0.324219f, 0.445312f, 0.371094f, 0.613281f}, {0.027344f, 0.386719f, 0.187500f, 0.761719f}, - {0.507812f, 0.093750f, 0.597656f, 0.546875f}, {0.769531f, 0.250000f, 0.015625f, 0.386719f}, - {0.265625f, 0.335938f, 0.914062f, 0.472656f}, {0.335938f, 0.113281f, 0.539062f, 0.972656f}, - {0.496094f, 0.828125f, 0.078125f, 0.730469f}, {0.980469f, 0.507812f, 0.656250f, 0.410156f}, - {0.410156f, 0.093750f, 0.871094f, 0.148438f}, {0.777344f, 0.910156f, 0.238281f, 0.464844f}, - {0.929688f, 0.644531f, 0.746094f, 0.253906f}, {0.343750f, 0.488281f, 0.394531f, 0.992188f}, - {0.566406f, 0.949219f, 0.011719f, 0.117188f}, {0.476562f, 0.597656f, 0.859375f, 0.476562f}, - {0.210938f, 0.449219f, 0.476562f, 0.273438f}, {0.816406f, 0.902344f, 0.156250f, 0.542969f}, - {0.093750f, 0.738281f, 0.253906f, 0.773438f}, {0.964844f, 0.640625f, 0.316406f, 0.500000f}, - {0.738281f, 0.925781f, 0.007812f, 0.257812f}, {0.828125f, 0.066406f, 0.433594f, 0.000000f}, - {0.457031f, 0.437500f, 0.578125f, 0.187500f}, {0.667969f, 0.980469f, 0.089844f, 0.699219f}, - {0.207031f, 0.351562f, 0.824219f, 0.886719f}, {0.105469f, 0.902344f, 0.703125f, 0.246094f}, - {0.933594f, 0.183594f, 0.796875f, 0.070312f}, {0.796875f, 0.449219f, 0.457031f, 0.925781f}, - {0.656250f, 0.945312f, 0.378906f, 0.289062f}, {0.957031f, 0.878906f, 0.769531f, 0.875000f}, - {0.847656f, 0.335938f, 0.531250f, 0.097656f}, {0.089844f, 0.128906f, 0.628906f, 0.464844f}, - {0.199219f, 0.824219f, 0.437500f, 0.273438f}, {0.335938f, 0.035156f, 0.507812f, 0.925781f}, - {0.113281f, 0.773438f, 0.839844f, 0.554688f}, {0.160156f, 0.925781f, 0.042969f, 0.437500f}, - {0.695312f, 0.132812f, 0.875000f, 0.687500f}, {0.300781f, 0.007812f, 0.519531f, 0.878906f}, - {0.921875f, 0.898438f, 0.671875f, 0.800781f}, {0.187500f, 0.582031f, 0.000000f, 0.539062f}, - {0.421875f, 0.253906f, 0.484375f, 0.265625f}, {0.503906f, 0.800781f, 0.945312f, 0.988281f}, - {0.917969f, 0.117188f, 0.625000f, 0.753906f}, {0.812500f, 0.859375f, 0.707031f, 0.578125f}, - {0.671875f, 0.269531f, 0.296875f, 0.171875f}, {0.984375f, 0.949219f, 0.769531f, 0.367188f}, - {0.847656f, 0.476562f, 0.156250f, 0.957031f}, {0.703125f, 0.613281f, 0.554688f, 0.867188f}, - {0.890625f, 0.328125f, 0.101562f, 0.421875f}, {0.503906f, 0.976562f, 0.687500f, 0.910156f}, - {0.570312f, 0.511719f, 0.503906f, 0.777344f}, {0.156250f, 0.808594f, 0.597656f, 0.179688f}, - {0.355469f, 0.125000f, 0.019531f, 0.839844f}, {0.199219f, 0.730469f, 0.308594f, 0.738281f}, - {0.949219f, 0.984375f, 0.671875f, 0.496094f}, {0.429688f, 0.613281f, 0.246094f, 0.199219f}, - {0.910156f, 0.085938f, 0.363281f, 0.765625f}, {0.769531f, 0.878906f, 0.707031f, 0.261719f}, - {0.472656f, 0.519531f, 0.187500f, 0.000000f}, {0.894531f, 0.328125f, 0.519531f, 0.750000f}, - {0.277344f, 0.593750f, 0.238281f, 0.632812f}, {0.058594f, 0.855469f, 0.359375f, 0.500000f}, - {0.855469f, 0.023438f, 0.910156f, 0.027344f}, {0.699219f, 0.523438f, 0.449219f, 0.562500f}, - {0.457031f, 0.667969f, 0.308594f, 0.980469f}, {0.125000f, 0.175781f, 0.824219f, 0.312500f}, - {0.867188f, 0.867188f, 0.476562f, 0.414062f}, {0.375000f, 0.027344f, 0.929688f, 0.882812f}, - {0.683594f, 0.812500f, 0.851562f, 0.175781f}, {0.117188f, 0.480469f, 0.125000f, 0.804688f}, - {0.878906f, 0.980469f, 0.210938f, 0.679688f}, {0.058594f, 0.554688f, 0.378906f, 0.042969f}, - {0.628906f, 0.167969f, 0.976562f, 0.527344f}, {0.132812f, 0.757812f, 0.769531f, 0.621094f}, - {0.308594f, 0.371094f, 0.191406f, 0.312500f}, {0.464844f, 0.273438f, 0.527344f, 0.898438f}, - {0.085938f, 0.808594f, 0.960938f, 0.007812f}, {0.734375f, 0.324219f, 0.691406f, 0.757812f}, - {0.671875f, 0.105469f, 0.339844f, 0.593750f}, {0.058594f, 0.765625f, 0.585938f, 0.703125f}, - {0.761719f, 0.246094f, 0.062500f, 0.031250f}, {0.156250f, 0.167969f, 0.417969f, 0.917969f}, - {0.355469f, 0.035156f, 0.800781f, 0.382812f}, {0.644531f, 0.281250f, 0.925781f, 0.683594f}, - {0.496094f, 0.773438f, 0.136719f, 0.957031f}, {0.121094f, 0.226562f, 0.890625f, 0.562500f}, - {0.304688f, 0.699219f, 0.187500f, 0.824219f}, {0.992188f, 0.628906f, 0.980469f, 0.457031f}, - {0.550781f, 0.300781f, 0.410156f, 0.308594f}, {0.621094f, 0.761719f, 0.242188f, 0.148438f}, - {0.292969f, 0.671875f, 0.609375f, 0.816406f}, {0.414062f, 0.386719f, 0.000000f, 0.445312f}, - {0.167969f, 0.289062f, 0.890625f, 0.207031f}, {0.238281f, 0.542969f, 0.140625f, 0.523438f}, - {0.566406f, 0.710938f, 0.218750f, 0.625000f}, {0.382812f, 0.464844f, 0.980469f, 0.156250f}, - {0.785156f, 0.972656f, 0.695312f, 0.730469f}, {0.535156f, 0.199219f, 0.246094f, 0.863281f}, - {0.648438f, 0.390625f, 0.371094f, 0.210938f}, {0.425781f, 0.550781f, 0.722656f, 0.000000f}, - {0.773438f, 0.671875f, 0.140625f, 0.980469f}, {0.585938f, 0.425781f, 0.234375f, 0.304688f}, - {0.105469f, 0.734375f, 0.812500f, 0.164062f}, {0.656250f, 0.460938f, 0.281250f, 0.421875f}, - {0.277344f, 0.632812f, 0.863281f, 0.351562f}, {0.031250f, 0.968750f, 0.347656f, 0.015625f}, - {0.613281f, 0.195312f, 0.195312f, 0.214844f}, {0.445312f, 0.507812f, 0.527344f, 0.906250f}, - {0.296875f, 0.777344f, 0.855469f, 0.093750f}, {0.132812f, 0.660156f, 0.062500f, 0.285156f}, - {0.546875f, 0.031250f, 0.457031f, 0.496094f}, {0.195312f, 0.230469f, 0.808594f, 0.144531f}, - {0.375000f, 0.750000f, 0.273438f, 0.210938f}, {0.933594f, 0.156250f, 0.941406f, 0.601562f}, - {0.230469f, 0.402344f, 0.355469f, 0.367188f}, {0.753906f, 0.656250f, 0.128906f, 0.449219f}, - {0.058594f, 0.351562f, 0.464844f, 0.015625f}, {0.597656f, 0.570312f, 0.398438f, 0.957031f}, - {0.789062f, 0.289062f, 0.824219f, 0.386719f}, {0.246094f, 0.492188f, 0.578125f, 0.863281f}, - {0.636719f, 0.792969f, 0.046875f, 0.457031f}, {0.332031f, 0.019531f, 0.839844f, 0.929688f}, - {0.207031f, 0.410156f, 0.109375f, 0.707031f}, {0.617188f, 0.765625f, 0.621094f, 0.992188f}, - {0.960938f, 0.066406f, 0.691406f, 0.132812f}, {0.417969f, 0.289062f, 0.074219f, 0.906250f}, - {0.789062f, 0.207031f, 0.851562f, 0.769531f}, {0.093750f, 0.972656f, 0.171875f, 0.183594f}, - {0.937500f, 0.101562f, 0.726562f, 0.066406f}, {0.253906f, 0.324219f, 0.554688f, 0.527344f}, - {0.820312f, 0.503906f, 0.062500f, 0.656250f}, {0.476562f, 0.593750f, 0.648438f, 0.007812f}, - {0.179688f, 0.910156f, 0.281250f, 0.289062f}, {0.957031f, 0.062500f, 0.445312f, 0.921875f}, - {0.441406f, 0.632812f, 0.726562f, 0.128906f}, {0.574219f, 0.292969f, 0.621094f, 0.234375f}, - {0.203125f, 0.875000f, 0.476562f, 0.363281f}, {0.679688f, 0.667969f, 0.031250f, 0.945312f}, - {0.914062f, 0.441406f, 0.347656f, 0.097656f}, {0.546875f, 0.214844f, 0.609375f, 0.687500f}, - {0.191406f, 0.718750f, 0.113281f, 0.550781f}, {0.269531f, 0.148438f, 0.164062f, 0.375000f}, - {0.992188f, 0.414062f, 0.898438f, 0.164062f}, {0.398438f, 0.652344f, 0.652344f, 0.429688f}, - {0.523438f, 0.351562f, 0.210938f, 0.800781f}, {0.863281f, 0.820312f, 0.992188f, 0.218750f}, - {0.437500f, 0.988281f, 0.707031f, 0.066406f}, {0.261719f, 0.421875f, 0.382812f, 0.859375f}, - {0.921875f, 0.339844f, 0.644531f, 0.132812f}, {0.585938f, 0.539062f, 0.746094f, 0.359375f}, - {0.386719f, 0.855469f, 0.488281f, 0.738281f}, {0.804688f, 0.019531f, 0.289062f, 0.105469f}, - {0.253906f, 0.480469f, 0.050781f, 0.539062f}, {0.027344f, 0.109375f, 0.867188f, 0.945312f}, - {0.898438f, 0.828125f, 0.523438f, 0.582031f}, {0.718750f, 0.046875f, 0.964844f, 0.339844f}, - {0.519531f, 0.152344f, 0.281250f, 0.675781f}, {0.062500f, 0.765625f, 0.570312f, 0.984375f}, - {0.886719f, 0.003906f, 0.738281f, 0.792969f}, {0.687500f, 0.257812f, 0.316406f, 0.410156f}, - {0.019531f, 0.585938f, 0.078125f, 0.039062f}, {0.964844f, 0.660156f, 0.164062f, 0.320312f}, - {0.257812f, 0.863281f, 0.941406f, 0.597656f}, {0.906250f, 0.292969f, 0.640625f, 0.386719f}, - {0.214844f, 0.960938f, 0.472656f, 0.746094f}, {0.464844f, 0.214844f, 0.996094f, 0.628906f}, - {0.378906f, 0.851562f, 0.558594f, 0.097656f}, {0.820312f, 0.300781f, 0.394531f, 0.898438f}, - {0.718750f, 0.066406f, 0.597656f, 0.566406f}, {0.968750f, 0.406250f, 0.085938f, 0.843750f}, - {0.363281f, 0.687500f, 0.433594f, 0.683594f}, {0.750000f, 0.574219f, 0.125000f, 0.437500f}, - {0.078125f, 0.316406f, 0.980469f, 0.617188f}, {0.636719f, 0.136719f, 0.675781f, 0.812500f}, - {0.468750f, 0.910156f, 0.367188f, 0.757812f}, {0.324219f, 0.546875f, 0.910156f, 0.554688f}, - {0.050781f, 0.832031f, 0.003906f, 0.671875f}, {0.808594f, 0.054688f, 0.203125f, 0.042969f}, - {0.625000f, 0.929688f, 0.632812f, 0.937500f}, {0.460938f, 0.468750f, 0.796875f, 0.523438f}, - {0.882812f, 0.003906f, 0.964844f, 0.292969f}, {0.304688f, 0.902344f, 0.195312f, 0.589844f}, - {0.503906f, 0.160156f, 0.515625f, 0.128906f}, {0.011719f, 0.671875f, 0.933594f, 0.328125f}, - {0.714844f, 0.250000f, 0.765625f, 0.570312f}, {0.539062f, 0.921875f, 0.472656f, 0.167969f}, - {0.820312f, 0.187500f, 0.871094f, 0.355469f}, {0.031250f, 0.996094f, 0.953125f, 0.476562f}, - {0.355469f, 0.628906f, 0.425781f, 0.289062f}, {0.554688f, 0.449219f, 0.578125f, 0.593750f}, - {0.183594f, 0.710938f, 0.273438f, 0.398438f}, {0.644531f, 0.359375f, 0.511719f, 0.695312f}, - {0.398438f, 0.820312f, 0.015625f, 0.464844f}, {0.535156f, 0.925781f, 0.941406f, 0.933594f}, - {0.628906f, 0.691406f, 0.238281f, 0.222656f}, {0.074219f, 0.222656f, 0.402344f, 0.707031f}, - {0.785156f, 0.757812f, 0.761719f, 0.496094f}, {0.242188f, 0.367188f, 0.570312f, 0.589844f}, - {0.726562f, 0.718750f, 0.320312f, 0.445312f}, {0.925781f, 0.417969f, 0.890625f, 0.863281f}, - {0.382812f, 0.000000f, 0.261719f, 0.753906f}, {0.753906f, 0.953125f, 0.839844f, 0.179688f}, - {0.023438f, 0.078125f, 0.414062f, 0.832031f}, {0.843750f, 0.597656f, 0.906250f, 0.496094f}, - {0.617188f, 0.894531f, 0.492188f, 0.792969f}, {0.886719f, 0.542969f, 0.261719f, 0.289062f}, - {0.140625f, 0.968750f, 0.437500f, 0.960938f}, {0.296875f, 0.046875f, 0.757812f, 0.851562f}, - {0.601562f, 0.710938f, 0.300781f, 0.324219f}, {0.699219f, 0.500000f, 0.496094f, 0.574219f}, - {0.019531f, 0.558594f, 0.035156f, 0.648438f}, {0.785156f, 0.675781f, 0.535156f, 0.449219f}, - {0.078125f, 0.089844f, 0.234375f, 0.300781f}, {0.191406f, 0.175781f, 0.339844f, 0.617188f}, - {0.714844f, 0.398438f, 0.785156f, 0.222656f}, {0.054688f, 0.921875f, 0.562500f, 0.875000f}, - {0.488281f, 0.257812f, 0.683594f, 0.652344f}, {0.765625f, 0.566406f, 0.335938f, 0.386719f}, - {0.371094f, 0.957031f, 0.121094f, 0.750000f}, {0.117188f, 0.511719f, 0.718750f, 0.007812f}, - {0.820312f, 0.871094f, 0.421875f, 0.125000f}, {0.453125f, 0.617188f, 0.062500f, 0.371094f}, - {0.613281f, 0.937500f, 0.914062f, 0.246094f}, {0.300781f, 0.371094f, 0.460938f, 0.703125f}, - {0.480469f, 0.078125f, 0.863281f, 0.957031f}, {0.730469f, 0.746094f, 0.785156f, 0.488281f}, - {0.363281f, 0.164062f, 0.566406f, 0.812500f}, {0.074219f, 0.093750f, 0.093750f, 0.140625f}, - {0.859375f, 0.503906f, 0.320312f, 0.527344f}, {0.039062f, 0.050781f, 0.765625f, 0.464844f}, - {0.953125f, 0.566406f, 0.058594f, 0.222656f}, {0.531250f, 0.156250f, 0.156250f, 0.773438f}, - {0.230469f, 0.914062f, 0.738281f, 0.644531f}, {0.117188f, 0.750000f, 0.898438f, 0.152344f}, - {0.574219f, 0.363281f, 0.656250f, 0.484375f}, {0.179688f, 0.011719f, 0.808594f, 0.312500f}, - {0.894531f, 0.980469f, 0.328125f, 0.941406f}, {0.246094f, 0.730469f, 0.242188f, 0.066406f}, - {0.949219f, 0.386719f, 0.609375f, 0.398438f}, {0.781250f, 0.445312f, 0.511719f, 0.257812f}, - {0.675781f, 0.679688f, 0.730469f, 0.843750f}, {0.121094f, 0.273438f, 0.433594f, 0.324219f}, - {0.273438f, 0.582031f, 0.855469f, 0.726562f}, {0.390625f, 0.863281f, 0.289062f, 0.816406f}, - {0.699219f, 0.226562f, 0.707031f, 0.218750f}, {0.925781f, 0.757812f, 0.078125f, 0.687500f}, - {0.128906f, 0.382812f, 0.640625f, 0.906250f}, {0.382812f, 0.101562f, 0.140625f, 0.789062f}, - {0.988281f, 0.843750f, 0.273438f, 0.074219f}, {0.093750f, 0.562500f, 0.386719f, 0.660156f}, - {0.441406f, 0.726562f, 0.230469f, 0.218750f}, {0.746094f, 0.238281f, 0.023438f, 0.875000f}, - {0.683594f, 0.109375f, 0.750000f, 0.042969f}, {0.238281f, 0.898438f, 0.328125f, 0.812500f}, - {0.902344f, 0.796875f, 0.988281f, 0.230469f}, {0.335938f, 0.574219f, 0.792969f, 0.335938f}, - {0.015625f, 0.035156f, 0.613281f, 0.835938f}, {0.738281f, 0.414062f, 0.343750f, 0.101562f}, - {0.976562f, 0.128906f, 0.867188f, 0.789062f}, {0.308594f, 0.285156f, 0.148438f, 0.371094f}, - {0.554688f, 0.535156f, 0.980469f, 0.964844f}, {0.351562f, 0.191406f, 0.046875f, 0.074219f}, - {0.003906f, 0.140625f, 0.812500f, 0.324219f}, {0.515625f, 0.804688f, 0.101562f, 0.644531f}, - {0.292969f, 0.242188f, 0.152344f, 0.546875f}, {0.816406f, 0.527344f, 0.554688f, 0.277344f}, - {0.246094f, 0.343750f, 0.664062f, 0.050781f}, {0.425781f, 0.839844f, 0.058594f, 0.425781f}, - {0.347656f, 0.031250f, 0.714844f, 0.207031f}, {0.496094f, 0.460938f, 0.804688f, 0.652344f}, - {0.800781f, 0.226562f, 0.078125f, 0.058594f}, {0.039062f, 0.859375f, 0.546875f, 0.484375f}, - {0.945312f, 0.300781f, 0.847656f, 0.109375f}, {0.226562f, 0.121094f, 0.121094f, 0.933594f}, - {0.906250f, 0.210938f, 0.878906f, 0.746094f}, {0.546875f, 0.875000f, 0.601562f, 0.187500f}, - {0.675781f, 0.953125f, 0.085938f, 0.804688f}, {0.339844f, 0.601562f, 0.933594f, 0.507812f}, - {0.859375f, 0.792969f, 0.023438f, 0.996094f}, {0.429688f, 0.128906f, 0.156250f, 0.031250f}, - {0.929688f, 0.742188f, 0.906250f, 0.269531f}, {0.179688f, 0.203125f, 0.453125f, 0.484375f}, - {0.671875f, 0.640625f, 0.644531f, 0.195312f}, {0.582031f, 0.328125f, 0.191406f, 0.847656f}, - {0.976562f, 0.425781f, 0.832031f, 0.601562f}, {0.343750f, 0.191406f, 0.347656f, 0.906250f}, - {0.210938f, 0.488281f, 0.605469f, 0.062500f}, {0.941406f, 0.804688f, 0.023438f, 0.546875f}, - {0.101562f, 0.910156f, 0.527344f, 0.191406f}, {0.175781f, 0.437500f, 0.402344f, 0.648438f}, - {0.820312f, 0.332031f, 0.265625f, 0.914062f}, {0.515625f, 0.636719f, 0.882812f, 0.062500f}, - {0.621094f, 0.785156f, 0.429688f, 0.253906f}, {0.746094f, 0.707031f, 0.199219f, 0.937500f}, - {0.152344f, 0.355469f, 0.683594f, 0.332031f}, {0.332031f, 0.804688f, 0.457031f, 0.074219f}, - {0.878906f, 0.492188f, 0.964844f, 0.968750f}, {0.480469f, 0.109375f, 0.226562f, 0.382812f}, - {0.792969f, 0.867188f, 0.035156f, 0.042969f}, {0.417969f, 0.234375f, 0.480469f, 0.734375f}, - {0.843750f, 0.464844f, 0.566406f, 0.539062f}, {0.511719f, 0.609375f, 0.171875f, 0.187500f}, - {0.011719f, 0.062500f, 0.046875f, 0.703125f}, {0.582031f, 0.191406f, 0.871094f, 0.968750f}, - {0.429688f, 0.347656f, 0.308594f, 0.121094f}, {0.988281f, 0.777344f, 0.578125f, 0.484375f}, - {0.527344f, 0.109375f, 0.152344f, 0.078125f}, {0.085938f, 0.320312f, 0.050781f, 0.160156f}, - {0.835938f, 0.699219f, 0.539062f, 0.640625f}, {0.558594f, 0.531250f, 0.890625f, 0.433594f}, - {0.183594f, 0.968750f, 0.332031f, 0.031250f}, {0.660156f, 0.449219f, 0.433594f, 0.269531f}, - {0.851562f, 0.640625f, 0.722656f, 0.503906f}, {0.289062f, 0.347656f, 0.558594f, 0.835938f}, - {0.156250f, 0.488281f, 0.171875f, 0.101562f}, {0.878906f, 0.828125f, 0.804688f, 0.550781f}, - {0.511719f, 0.386719f, 0.492188f, 0.437500f}, {0.132812f, 0.531250f, 0.148438f, 0.671875f}, - {0.765625f, 0.144531f, 0.101562f, 0.117188f}, {0.484375f, 0.257812f, 0.210938f, 0.910156f}, - {0.835938f, 0.480469f, 0.433594f, 0.574219f}, {0.152344f, 0.628906f, 0.699219f, 0.269531f}, - {0.214844f, 0.773438f, 0.089844f, 0.441406f}, {0.417969f, 0.992188f, 0.535156f, 0.152344f}, - {0.898438f, 0.453125f, 0.667969f, 0.746094f}, {0.640625f, 0.867188f, 0.195312f, 0.207031f}, - {0.148438f, 0.578125f, 0.507812f, 0.796875f}, {0.855469f, 0.921875f, 0.699219f, 0.027344f}, - {0.097656f, 0.468750f, 0.960938f, 0.988281f}, {0.585938f, 0.625000f, 0.757812f, 0.382812f}, - {0.160156f, 0.773438f, 0.300781f, 0.613281f}, {0.714844f, 0.183594f, 0.214844f, 0.875000f}, - {0.070312f, 0.691406f, 0.980469f, 0.937500f}, {0.656250f, 0.375000f, 0.332031f, 0.125000f}, - {0.746094f, 0.789062f, 0.621094f, 0.738281f}, {0.457031f, 0.585938f, 0.949219f, 0.605469f}, - {0.335938f, 0.933594f, 0.179688f, 0.253906f}, {0.171875f, 0.625000f, 0.359375f, 0.523438f}, - {0.386719f, 0.457031f, 0.730469f, 0.394531f}, {0.472656f, 0.003906f, 0.273438f, 0.039062f}, - {0.281250f, 0.726562f, 0.457031f, 0.902344f}, {0.972656f, 0.488281f, 0.832031f, 0.093750f}, - {0.617188f, 0.312500f, 0.406250f, 0.414062f}, {0.136719f, 0.660156f, 0.613281f, 0.687500f}, - {0.562500f, 0.441406f, 0.226562f, 0.781250f}, {0.324219f, 0.375000f, 0.800781f, 0.074219f}, - {0.871094f, 0.808594f, 0.082031f, 0.964844f}, {0.269531f, 0.089844f, 0.941406f, 0.699219f}, - {0.011719f, 0.250000f, 0.503906f, 0.503906f}, {0.148438f, 0.671875f, 0.242188f, 0.300781f}, - {0.707031f, 0.125000f, 0.679688f, 0.453125f}, {0.843750f, 0.296875f, 0.812500f, 0.835938f}, - {0.417969f, 0.566406f, 0.187500f, 0.113281f}, {0.578125f, 0.226562f, 0.652344f, 0.285156f}, - {0.675781f, 0.523438f, 0.718750f, 0.363281f}, {0.312500f, 0.894531f, 0.039062f, 0.691406f}, - {0.406250f, 0.398438f, 0.605469f, 0.781250f}, {0.265625f, 0.246094f, 0.917969f, 0.851562f}, - {0.570312f, 0.992188f, 0.843750f, 0.589844f}, {0.644531f, 0.605469f, 0.339844f, 0.714844f}, - {0.003906f, 0.269531f, 0.531250f, 0.511719f}, {0.699219f, 0.652344f, 0.296875f, 0.277344f}, - {0.312500f, 0.546875f, 0.710938f, 0.824219f}, {0.054688f, 0.152344f, 0.402344f, 0.238281f}, - {0.667969f, 0.796875f, 0.914062f, 0.875000f}, {0.351562f, 0.281250f, 0.769531f, 0.351562f}, - {0.730469f, 0.839844f, 0.691406f, 0.000000f}, {0.289062f, 0.894531f, 0.394531f, 0.632812f}, - {0.152344f, 0.519531f, 0.113281f, 0.429688f}, {0.867188f, 0.988281f, 0.992188f, 0.582031f}, - {0.210938f, 0.636719f, 0.480469f, 0.878906f}, {0.640625f, 0.171875f, 0.753906f, 0.984375f}, - {0.023438f, 0.425781f, 0.371094f, 0.343750f}, {0.437500f, 0.039062f, 0.222656f, 0.539062f}, - {0.257812f, 0.800781f, 0.835938f, 0.718750f}, {0.777344f, 0.300781f, 0.007812f, 0.964844f}, - {0.484375f, 0.054688f, 0.984375f, 0.406250f}, {0.582031f, 0.140625f, 0.664062f, 0.617188f}, - {0.398438f, 0.597656f, 0.906250f, 0.933594f}, {0.933594f, 0.019531f, 0.367188f, 0.726562f}, - {0.312500f, 0.691406f, 0.601562f, 0.164062f}, {0.074219f, 0.320312f, 0.882812f, 0.964844f}, - {0.589844f, 0.644531f, 0.679688f, 0.515625f}, {0.949219f, 0.964844f, 0.375000f, 0.742188f}, - {0.281250f, 0.187500f, 0.910156f, 0.023438f}, {0.687500f, 0.886719f, 0.773438f, 0.640625f}, - {0.597656f, 0.343750f, 0.292969f, 0.871094f}, {0.054688f, 0.089844f, 0.464844f, 0.535156f}, - {0.808594f, 0.015625f, 0.839844f, 0.613281f}, {0.710938f, 0.675781f, 0.339844f, 0.902344f}, - {0.484375f, 0.320312f, 0.429688f, 0.406250f}, {0.988281f, 0.062500f, 0.242188f, 0.687500f}, - {0.664062f, 0.707031f, 0.375000f, 0.140625f}, {0.460938f, 0.128906f, 0.019531f, 0.480469f}, - {0.960938f, 0.296875f, 0.453125f, 0.707031f}, {0.535156f, 0.980469f, 0.828125f, 0.246094f}, - {0.894531f, 0.101562f, 0.578125f, 0.570312f}, {0.218750f, 0.273438f, 0.398438f, 0.335938f}, - {0.113281f, 0.507812f, 0.000000f, 0.406250f}, {0.554688f, 0.160156f, 0.242188f, 0.890625f}, - {0.828125f, 0.066406f, 0.671875f, 0.695312f}, {0.632812f, 0.398438f, 0.425781f, 0.148438f}, - {0.730469f, 0.781250f, 0.785156f, 0.968750f}, {0.125000f, 0.273438f, 0.964844f, 0.281250f}, - {0.820312f, 0.371094f, 0.191406f, 0.707031f}, {0.031250f, 0.218750f, 0.695312f, 0.585938f}, - {0.507812f, 0.054688f, 0.511719f, 0.343750f}, {0.242188f, 0.890625f, 0.988281f, 0.167969f}, - {0.734375f, 0.972656f, 0.730469f, 0.531250f}, {0.070312f, 0.011719f, 0.285156f, 0.316406f}, - {0.460938f, 0.707031f, 0.394531f, 0.417969f}, {0.781250f, 0.546875f, 0.585938f, 0.234375f}, - {0.402344f, 0.992188f, 0.769531f, 0.152344f}, {0.644531f, 0.738281f, 0.148438f, 0.773438f}, - {0.757812f, 0.855469f, 0.976562f, 0.636719f}, {0.539062f, 0.050781f, 0.382812f, 0.390625f}, - {0.246094f, 0.714844f, 0.296875f, 0.742188f}, {0.910156f, 0.972656f, 0.125000f, 0.886719f}, - {0.128906f, 0.011719f, 0.960938f, 0.445312f}, {0.984375f, 0.828125f, 0.351562f, 0.554688f}, - {0.054688f, 0.132812f, 0.511719f, 0.175781f}, {0.800781f, 0.464844f, 0.117188f, 0.398438f}, - {0.921875f, 0.027344f, 0.257812f, 0.019531f}, {0.437500f, 0.191406f, 0.015625f, 0.441406f}, - {0.203125f, 0.433594f, 0.785156f, 0.195312f}, {0.996094f, 0.953125f, 0.632812f, 0.917969f}, - {0.257812f, 0.335938f, 0.144531f, 0.652344f}, {0.617188f, 0.703125f, 0.835938f, 0.101562f}, - {0.941406f, 0.929688f, 0.265625f, 0.597656f}, {0.109375f, 0.503906f, 0.097656f, 0.468750f}, - {0.195312f, 0.093750f, 0.957031f, 0.785156f}, {0.917969f, 0.714844f, 0.218750f, 0.906250f}, - {0.761719f, 0.242188f, 0.648438f, 0.281250f}, {0.367188f, 0.019531f, 0.789062f, 0.195312f}, - {0.707031f, 0.480469f, 0.253906f, 0.386719f}, {0.328125f, 0.828125f, 0.917969f, 0.757812f}, - {0.960938f, 0.941406f, 0.667969f, 0.242188f}, {0.742188f, 0.601562f, 0.601562f, 0.105469f}, - {0.347656f, 0.203125f, 0.496094f, 0.871094f}, {0.886719f, 0.687500f, 0.777344f, 0.152344f}, - {0.046875f, 0.886719f, 0.089844f, 0.316406f}, {0.222656f, 0.957031f, 0.316406f, 0.773438f}, - {0.625000f, 0.750000f, 0.527344f, 0.253906f}, {0.003906f, 0.277344f, 0.050781f, 0.382812f}, - {0.660156f, 0.937500f, 0.250000f, 0.328125f}, {0.808594f, 0.078125f, 0.734375f, 0.625000f}, - {0.437500f, 0.425781f, 0.460938f, 0.281250f}, {0.386719f, 0.738281f, 0.566406f, 0.394531f}, - {0.039062f, 0.050781f, 0.035156f, 0.175781f}, {0.523438f, 0.546875f, 0.175781f, 0.996094f}, - {0.925781f, 0.714844f, 0.957031f, 0.347656f}, {0.453125f, 0.843750f, 0.585938f, 0.039062f}, - {0.109375f, 0.617188f, 0.003906f, 0.296875f}, {0.269531f, 0.406250f, 0.750000f, 0.109375f}, - {0.390625f, 0.949219f, 0.933594f, 0.519531f}, {0.207031f, 0.222656f, 0.597656f, 0.238281f}, - {0.332031f, 0.378906f, 0.640625f, 0.820312f}, {0.785156f, 0.898438f, 0.914062f, 0.906250f}, - {0.054688f, 0.496094f, 0.523438f, 0.085938f}, {0.386719f, 0.417969f, 0.089844f, 0.777344f}, - {0.304688f, 0.562500f, 0.148438f, 0.031250f}, {0.929688f, 0.925781f, 0.773438f, 0.519531f}, - {0.414062f, 0.667969f, 0.468750f, 0.195312f}, {0.257812f, 0.738281f, 0.835938f, 0.800781f}, - {0.972656f, 0.332031f, 0.519531f, 0.003906f}, {0.078125f, 0.847656f, 0.062500f, 0.359375f}, - {0.882812f, 0.691406f, 0.566406f, 0.625000f}, {0.585938f, 0.148438f, 0.140625f, 0.777344f}, - {0.214844f, 0.941406f, 0.652344f, 0.476562f}, {0.757812f, 0.824219f, 0.308594f, 0.238281f}, - {0.402344f, 0.527344f, 0.113281f, 0.867188f}, {0.945312f, 0.585938f, 0.359375f, 0.937500f}, - {0.839844f, 0.277344f, 0.062500f, 0.621094f}, {0.632812f, 0.167969f, 0.550781f, 0.804688f}, - {0.222656f, 0.464844f, 0.894531f, 0.914062f}, {0.535156f, 0.882812f, 0.011719f, 0.566406f}, - {0.886719f, 0.039062f, 0.312500f, 0.085938f}, {0.496094f, 0.394531f, 0.449219f, 0.875000f}, - {0.085938f, 0.593750f, 0.097656f, 0.972656f}, {0.289062f, 0.343750f, 0.742188f, 0.011719f}, - {0.031250f, 0.460938f, 0.894531f, 0.589844f}, {0.777344f, 0.156250f, 0.488281f, 0.222656f}, - {0.468750f, 0.679688f, 0.835938f, 0.042969f}, {0.195312f, 0.281250f, 0.230469f, 0.992188f}, - {0.718750f, 0.589844f, 0.796875f, 0.109375f}, {0.492188f, 0.921875f, 0.667969f, 0.667969f}, - {0.097656f, 0.667969f, 0.390625f, 0.292969f}, {0.835938f, 0.871094f, 0.582031f, 0.871094f}, - {0.378906f, 0.097656f, 0.878906f, 0.128906f}, {0.753906f, 0.765625f, 0.078125f, 0.558594f}, - {0.503906f, 0.039062f, 0.937500f, 0.761719f}, {0.148438f, 0.207031f, 0.515625f, 0.425781f}, - {0.816406f, 0.421875f, 0.593750f, 0.996094f}, {0.390625f, 0.367188f, 0.335938f, 0.136719f}, - {0.550781f, 0.656250f, 0.441406f, 0.226562f}, {0.488281f, 0.144531f, 0.828125f, 0.523438f}, - {0.605469f, 0.593750f, 0.531250f, 0.734375f}, {0.035156f, 0.390625f, 0.347656f, 0.671875f}, - {0.464844f, 0.742188f, 0.019531f, 0.023438f}, {0.812500f, 0.265625f, 0.421875f, 0.492188f}, - {0.164062f, 0.359375f, 0.101562f, 0.605469f}, {0.507812f, 0.121094f, 0.171875f, 0.800781f}, - {0.605469f, 0.503906f, 0.933594f, 0.453125f}, {0.082031f, 0.250000f, 0.261719f, 0.203125f}, - {0.968750f, 0.550781f, 0.460938f, 0.570312f}, {0.718750f, 0.410156f, 0.628906f, 0.054688f}, - {0.835938f, 0.105469f, 0.710938f, 0.468750f}, {0.359375f, 0.457031f, 0.421875f, 0.894531f}, - {0.250000f, 0.875000f, 0.968750f, 0.015625f}, {0.996094f, 0.210938f, 0.074219f, 0.855469f}, - {0.179688f, 0.785156f, 0.304688f, 0.074219f}, {0.714844f, 0.855469f, 0.832031f, 0.804688f}, - {0.230469f, 0.296875f, 0.500000f, 0.488281f}, {0.859375f, 0.394531f, 0.253906f, 0.222656f}, - {0.324219f, 0.230469f, 0.640625f, 0.679688f}, {0.765625f, 0.511719f, 0.390625f, 0.820312f}, - {0.179688f, 0.269531f, 0.222656f, 0.726562f}, {0.843750f, 0.121094f, 0.128906f, 0.468750f}, - {0.609375f, 0.781250f, 0.859375f, 0.960938f}, {0.035156f, 0.531250f, 0.066406f, 0.335938f}, - {0.734375f, 0.855469f, 0.167969f, 0.578125f}, {0.261719f, 0.023438f, 0.324219f, 0.175781f}, - {0.867188f, 0.652344f, 0.875000f, 0.304688f}, {0.632812f, 0.746094f, 0.683594f, 0.371094f}, - {0.183594f, 0.214844f, 0.273438f, 0.851562f}, {0.773438f, 0.832031f, 0.921875f, 0.667969f}, - {0.589844f, 0.011719f, 0.703125f, 0.992188f}, {0.691406f, 0.433594f, 0.113281f, 0.300781f}, - {0.003906f, 0.246094f, 0.933594f, 0.457031f}, {0.511719f, 0.984375f, 0.320312f, 0.843750f}, - {0.300781f, 0.496094f, 0.886719f, 0.203125f}, {0.433594f, 0.578125f, 0.390625f, 0.539062f}, - {0.914062f, 0.648438f, 0.007812f, 0.121094f}, {0.085938f, 0.421875f, 0.867188f, 0.824219f}, - {0.683594f, 0.117188f, 0.753906f, 0.015625f}, {0.304688f, 0.750000f, 0.210938f, 0.460938f}, - {0.113281f, 0.355469f, 0.828125f, 0.113281f}, {0.367188f, 0.843750f, 0.472656f, 0.718750f}, - {0.988281f, 0.621094f, 0.167969f, 0.035156f}, {0.050781f, 0.308594f, 0.710938f, 0.363281f}, - {0.171875f, 0.144531f, 0.871094f, 0.667969f}, {0.929688f, 0.515625f, 0.648438f, 0.265625f}, - {0.363281f, 0.781250f, 0.542969f, 0.183594f}, {0.859375f, 0.203125f, 0.226562f, 0.335938f}, - {0.609375f, 0.878906f, 0.574219f, 0.496094f}, {0.386719f, 0.621094f, 0.003906f, 0.800781f}, - {0.644531f, 0.378906f, 0.628906f, 0.625000f}, {0.871094f, 0.757812f, 0.437500f, 0.324219f}, - {0.238281f, 0.082031f, 0.160156f, 0.750000f}, {0.355469f, 0.535156f, 0.984375f, 0.519531f}, - {0.691406f, 0.308594f, 0.734375f, 0.960938f}, {0.167969f, 0.722656f, 0.480469f, 0.628906f}, - {0.550781f, 0.390625f, 0.179688f, 0.792969f}, {0.070312f, 0.511719f, 0.441406f, 0.347656f}, - {0.906250f, 0.843750f, 0.363281f, 0.023438f}, {0.589844f, 0.636719f, 0.203125f, 0.289062f}, - {0.449219f, 0.070312f, 0.007812f, 0.695312f}, {0.238281f, 0.566406f, 0.746094f, 0.382812f}, - {0.683594f, 0.953125f, 0.492188f, 0.832031f}, {0.855469f, 0.324219f, 0.062500f, 0.328125f}, - {0.093750f, 0.812500f, 0.156250f, 0.093750f}, {0.253906f, 0.917969f, 0.609375f, 0.929688f}, - {0.925781f, 0.550781f, 0.710938f, 0.812500f}, {0.574219f, 0.082031f, 0.843750f, 0.304688f}, - {0.109375f, 0.894531f, 0.308594f, 0.066406f}, {0.234375f, 0.718750f, 0.550781f, 0.941406f}, - {0.683594f, 0.851562f, 0.699219f, 0.371094f}, {0.410156f, 0.773438f, 0.402344f, 0.636719f}, - {0.308594f, 0.335938f, 0.136719f, 0.843750f}, {0.519531f, 0.175781f, 0.820312f, 0.687500f}, - {0.109375f, 0.820312f, 0.292969f, 0.527344f}, {0.457031f, 0.539062f, 0.183594f, 0.191406f}, - {0.742188f, 0.617188f, 0.847656f, 0.750000f}, {0.539062f, 0.363281f, 0.617188f, 0.566406f}, - {0.085938f, 0.500000f, 0.140625f, 0.449219f}, {0.890625f, 0.578125f, 0.937500f, 0.699219f}, - {0.632812f, 0.113281f, 0.664062f, 0.917969f}, {0.128906f, 0.660156f, 0.105469f, 0.582031f}, - {0.375000f, 0.933594f, 0.812500f, 0.410156f}, {0.652344f, 0.160156f, 0.882812f, 0.132812f}, - {0.503906f, 0.820312f, 0.691406f, 0.253906f}, {0.941406f, 0.457031f, 0.300781f, 0.851562f}, - {0.550781f, 0.734375f, 0.546875f, 0.656250f}, {0.902344f, 0.175781f, 0.488281f, 0.000000f}, - {0.437500f, 0.593750f, 0.730469f, 0.753906f}, {0.125000f, 0.261719f, 0.785156f, 0.437500f}, - {0.570312f, 0.816406f, 0.203125f, 0.632812f}, {0.500000f, 0.074219f, 0.417969f, 0.949219f}, - {0.031250f, 0.351562f, 0.632812f, 0.472656f}, {0.839844f, 0.601562f, 0.343750f, 0.152344f}, - {0.136719f, 0.128906f, 0.187500f, 0.753906f}, {0.476562f, 0.886719f, 0.597656f, 0.101562f}, - {0.371094f, 0.550781f, 0.265625f, 0.578125f}, {0.792969f, 0.187500f, 0.722656f, 0.925781f}, - {0.164062f, 0.089844f, 0.203125f, 0.070312f}, {0.660156f, 0.035156f, 0.617188f, 0.417969f}, - {0.359375f, 0.324219f, 0.476562f, 0.671875f}, {0.539062f, 0.871094f, 0.542969f, 0.300781f}, - {0.812500f, 0.195312f, 0.925781f, 0.750000f}, {0.171875f, 0.675781f, 0.433594f, 0.394531f}, - {0.492188f, 0.066406f, 0.597656f, 0.210938f}, {0.710938f, 0.507812f, 0.675781f, 0.281250f}, - {0.574219f, 0.765625f, 0.964844f, 0.851562f}, {0.808594f, 0.226562f, 0.250000f, 0.468750f}, - {0.316406f, 0.925781f, 0.367188f, 0.757812f}, {0.675781f, 0.656250f, 0.816406f, 0.429688f}, - {0.214844f, 0.265625f, 0.062500f, 0.539062f}, {0.457031f, 0.953125f, 0.937500f, 0.722656f}, - {0.972656f, 0.101562f, 0.410156f, 0.132812f}, {0.070312f, 0.800781f, 0.320312f, 0.929688f}, - {0.320312f, 0.500000f, 0.769531f, 0.261719f}, {0.527344f, 0.218750f, 0.085938f, 0.472656f}, - {0.015625f, 0.851562f, 0.550781f, 0.820312f}, {0.960938f, 0.359375f, 0.285156f, 0.210938f}, - {0.609375f, 0.144531f, 0.062500f, 0.371094f}, {0.292969f, 0.812500f, 0.925781f, 0.058594f}, - {0.664062f, 0.226562f, 0.308594f, 0.242188f}, {0.863281f, 0.582031f, 0.671875f, 0.488281f}, - {0.332031f, 0.292969f, 0.765625f, 0.945312f}, {0.023438f, 0.910156f, 0.988281f, 0.183594f}, - {0.726562f, 0.734375f, 0.621094f, 0.531250f}, {0.968750f, 0.261719f, 0.898438f, 0.902344f}, - {0.058594f, 0.851562f, 0.675781f, 0.046875f}, {0.320312f, 0.187500f, 0.292969f, 0.609375f}, - {0.781250f, 0.449219f, 0.949219f, 0.167969f}, {0.410156f, 0.054688f, 0.882812f, 0.441406f}, - {0.667969f, 0.210938f, 0.207031f, 0.542969f}, {0.296875f, 0.667969f, 0.468750f, 0.855469f}, - {0.871094f, 0.417969f, 0.980469f, 0.148438f}, {0.761719f, 0.164062f, 0.765625f, 0.699219f}, - {0.914062f, 0.460938f, 0.035156f, 0.511719f}, {0.148438f, 0.027344f, 0.871094f, 0.007812f}, - {0.800781f, 0.929688f, 0.210938f, 0.988281f}, {0.199219f, 0.675781f, 0.945312f, 0.128906f}, - {0.574219f, 0.230469f, 0.027344f, 0.796875f}, {0.875000f, 0.980469f, 0.781250f, 0.648438f}, - {0.140625f, 0.144531f, 0.542969f, 0.968750f}, {0.609375f, 0.003906f, 0.359375f, 0.238281f}, - {0.335938f, 0.683594f, 0.222656f, 0.148438f}, {0.476562f, 0.171875f, 0.761719f, 0.308594f}, - {0.757812f, 0.902344f, 0.402344f, 0.105469f}, {0.562500f, 0.445312f, 0.324219f, 0.757812f}, - {0.972656f, 0.039062f, 0.527344f, 0.050781f}, {0.019531f, 0.570312f, 0.054688f, 0.933594f}, - {0.296875f, 0.964844f, 0.457031f, 0.562500f}, {0.695312f, 0.351562f, 0.984375f, 0.183594f}, - {0.078125f, 0.636719f, 0.800781f, 0.382812f}, {0.347656f, 0.082031f, 0.402344f, 0.093750f}, - {0.804688f, 0.988281f, 0.257812f, 0.921875f}, {0.191406f, 0.316406f, 0.101562f, 0.535156f}, - {0.707031f, 0.453125f, 0.570312f, 0.722656f}, {0.937500f, 0.160156f, 0.996094f, 0.050781f}, - {0.363281f, 0.960938f, 0.023438f, 0.230469f}, {0.671875f, 0.480469f, 0.496094f, 0.414062f}, - {0.320312f, 0.296875f, 0.859375f, 0.554688f}, {0.949219f, 0.644531f, 0.386719f, 0.261719f}, - {0.867188f, 0.757812f, 0.035156f, 0.648438f}, {0.226562f, 0.359375f, 0.460938f, 0.726562f}, - {0.714844f, 0.804688f, 0.816406f, 0.328125f}, {0.996094f, 0.914062f, 0.980469f, 0.886719f}, - {0.023438f, 0.257812f, 0.250000f, 0.976562f}, {0.265625f, 0.773438f, 0.789062f, 0.171875f}, - {0.605469f, 0.472656f, 0.046875f, 0.636719f}, {0.449219f, 0.945312f, 0.273438f, 0.957031f}, - {0.902344f, 0.250000f, 0.128906f, 0.582031f}, {0.000000f, 0.906250f, 0.332031f, 0.519531f}, - {0.273438f, 0.101562f, 0.042969f, 0.175781f}, {0.421875f, 0.386719f, 0.515625f, 0.988281f}, - {0.742188f, 0.820312f, 0.605469f, 0.605469f}, {0.589844f, 0.453125f, 0.132812f, 0.066406f}, - {0.128906f, 0.066406f, 0.285156f, 0.910156f}, {0.800781f, 0.550781f, 0.714844f, 0.835938f}, - {0.699219f, 0.421875f, 0.855469f, 0.398438f}, {0.175781f, 0.304688f, 0.175781f, 0.664062f}, - {0.738281f, 0.039062f, 0.683594f, 0.074219f}, {0.832031f, 0.984375f, 0.898438f, 0.867188f}, - {0.574219f, 0.437500f, 0.363281f, 0.144531f}, {0.421875f, 0.640625f, 0.859375f, 0.597656f}, - {0.898438f, 0.937500f, 0.640625f, 0.906250f}, {0.125000f, 0.484375f, 0.214844f, 0.449219f}, - {0.472656f, 0.000000f, 0.808594f, 0.675781f}, {0.218750f, 0.960938f, 0.109375f, 0.847656f}, - {0.425781f, 0.167969f, 0.539062f, 0.585938f}, {0.800781f, 0.460938f, 0.257812f, 0.734375f}, - {0.289062f, 0.125000f, 0.402344f, 0.070312f}, {0.179688f, 0.777344f, 0.125000f, 0.648438f}, - {0.890625f, 0.011719f, 0.187500f, 0.480469f}, {0.628906f, 0.492188f, 0.558594f, 0.761719f}, - {0.144531f, 0.691406f, 0.769531f, 0.957031f}, {0.957031f, 0.765625f, 0.378906f, 0.351562f}, - {0.187500f, 0.292969f, 0.074219f, 0.222656f}, {0.496094f, 0.957031f, 0.589844f, 0.652344f}, - {0.378906f, 0.597656f, 0.128906f, 0.410156f}, {0.007812f, 0.316406f, 0.269531f, 0.273438f}, - {0.449219f, 0.644531f, 0.367188f, 0.777344f}, {0.542969f, 0.093750f, 0.648438f, 0.234375f}, - {0.660156f, 0.582031f, 0.503906f, 0.335938f}, {0.941406f, 0.382812f, 0.585938f, 0.421875f}, - {0.031250f, 0.042969f, 0.117188f, 0.285156f}, {0.414062f, 0.304688f, 0.679688f, 0.082031f}, - {0.781250f, 0.722656f, 0.484375f, 0.351562f}, {0.277344f, 0.800781f, 0.875000f, 0.496094f}, - {0.914062f, 0.265625f, 0.007812f, 0.816406f}, {0.406250f, 0.968750f, 0.445312f, 0.628906f}, - {0.066406f, 0.339844f, 0.710938f, 0.375000f}, {0.261719f, 0.746094f, 0.968750f, 0.878906f}, - {0.203125f, 0.800781f, 0.160156f, 0.511719f}, {0.812500f, 0.312500f, 0.613281f, 0.328125f}, - {0.414062f, 0.691406f, 0.359375f, 0.445312f}, {0.148438f, 0.007812f, 0.179688f, 0.625000f}, - {0.238281f, 0.226562f, 0.027344f, 0.785156f}, {0.476562f, 0.507812f, 0.664062f, 0.875000f}, - {0.648438f, 0.390625f, 0.945312f, 0.210938f}, {0.972656f, 0.710938f, 0.367188f, 0.269531f}, - {0.285156f, 0.558594f, 0.464844f, 0.128906f}, {0.082031f, 0.679688f, 0.816406f, 0.832031f}, - {0.457031f, 0.769531f, 0.078125f, 0.601562f}, {0.242188f, 0.867188f, 0.738281f, 0.898438f}, - {0.750000f, 0.394531f, 0.554688f, 0.019531f}, {0.101562f, 0.042969f, 0.968750f, 0.367188f}, - {0.621094f, 0.957031f, 0.769531f, 0.820312f}, {0.046875f, 0.449219f, 0.660156f, 0.492188f}, - {0.562500f, 0.613281f, 0.089844f, 0.234375f}, {0.480469f, 0.710938f, 0.335938f, 0.027344f}, - {0.851562f, 0.402344f, 0.156250f, 0.566406f}, {0.144531f, 0.554688f, 0.691406f, 0.507812f}, - {0.957031f, 0.023438f, 0.378906f, 0.355469f}, {0.750000f, 0.605469f, 0.640625f, 0.054688f}, - {0.207031f, 0.722656f, 0.941406f, 0.878906f}, {0.644531f, 0.429688f, 0.847656f, 0.660156f}, - {0.847656f, 0.558594f, 0.773438f, 0.328125f}, {0.089844f, 0.691406f, 0.425781f, 0.125000f}, - {0.480469f, 0.000000f, 0.195312f, 0.816406f}, {0.960938f, 0.332031f, 0.992188f, 0.226562f}, - {0.019531f, 0.750000f, 0.457031f, 0.304688f}, {0.546875f, 0.175781f, 0.503906f, 0.027344f}, - {0.253906f, 0.703125f, 0.046875f, 0.566406f}, {0.433594f, 0.898438f, 0.601562f, 0.199219f}, - {0.925781f, 0.582031f, 0.972656f, 0.359375f}, {0.136719f, 0.687500f, 0.250000f, 0.699219f}, - {0.269531f, 0.183594f, 0.468750f, 0.417969f}, {0.792969f, 0.066406f, 0.031250f, 0.003906f}, - {0.050781f, 0.566406f, 0.578125f, 0.718750f}, {0.710938f, 0.273438f, 0.414062f, 0.093750f}, - {0.769531f, 0.695312f, 0.500000f, 0.300781f}, {0.976562f, 0.792969f, 0.867188f, 0.152344f}, - {0.093750f, 0.613281f, 0.054688f, 0.410156f}, {0.652344f, 0.339844f, 0.722656f, 0.808594f}, - {0.570312f, 0.527344f, 0.804688f, 0.214844f}, {0.480469f, 0.398438f, 0.324219f, 0.312500f}, - {0.371094f, 0.996094f, 0.851562f, 0.867188f}, {0.531250f, 0.621094f, 0.429688f, 0.250000f}, - {0.441406f, 0.117188f, 0.039062f, 0.574219f}, {0.718750f, 0.355469f, 0.250000f, 0.703125f}, - {0.843750f, 0.867188f, 0.515625f, 0.050781f}, {0.078125f, 0.511719f, 0.816406f, 0.976562f}, - {0.621094f, 0.000000f, 0.667969f, 0.589844f}, {0.992188f, 0.800781f, 0.441406f, 0.882812f}, - {0.277344f, 0.988281f, 0.898438f, 0.093750f}, {0.058594f, 0.277344f, 0.070312f, 0.722656f}, - {0.351562f, 0.867188f, 0.746094f, 0.914062f}, {0.246094f, 0.507812f, 0.343750f, 0.601562f}, - {0.707031f, 0.433594f, 0.996094f, 0.875000f}, {0.972656f, 0.640625f, 0.394531f, 0.406250f}, - {0.664062f, 0.894531f, 0.253906f, 0.710938f}, {0.195312f, 0.406250f, 0.640625f, 0.906250f}, - {0.015625f, 0.480469f, 0.921875f, 0.035156f}, {0.800781f, 0.070312f, 0.582031f, 0.953125f}, - {0.679688f, 0.628906f, 0.062500f, 0.199219f}, {0.855469f, 0.218750f, 0.273438f, 0.265625f}, - {0.449219f, 0.492188f, 0.792969f, 0.664062f}, {0.714844f, 0.101562f, 0.906250f, 0.808594f}, - {0.578125f, 0.894531f, 0.714844f, 0.980469f}, {0.957031f, 0.421875f, 0.246094f, 0.058594f}, - {0.757812f, 0.851562f, 0.578125f, 0.304688f}, {0.886719f, 0.789062f, 0.839844f, 0.488281f}, - {0.000000f, 0.925781f, 0.140625f, 0.679688f}, {0.523438f, 0.121094f, 0.617188f, 0.355469f}, - {0.406250f, 0.886719f, 0.710938f, 0.984375f}, {0.769531f, 0.035156f, 0.285156f, 0.503906f}, - {0.890625f, 0.242188f, 0.906250f, 0.292969f}, {0.574219f, 0.531250f, 0.242188f, 0.703125f}, - {0.171875f, 0.179688f, 0.121094f, 0.769531f}, {0.527344f, 0.718750f, 0.308594f, 0.968750f}, - {0.433594f, 0.226562f, 0.171875f, 0.171875f}, {0.281250f, 0.105469f, 0.523438f, 0.125000f}, - {0.761719f, 0.285156f, 0.417969f, 0.402344f}, {0.328125f, 0.515625f, 0.574219f, 0.691406f}, - {0.406250f, 0.164062f, 0.910156f, 0.792969f}, {0.652344f, 0.996094f, 0.101562f, 0.109375f}, - {0.062500f, 0.121094f, 0.507812f, 0.832031f}, {0.320312f, 0.378906f, 0.742188f, 0.242188f}, - {0.390625f, 0.316406f, 0.175781f, 0.703125f}, {0.527344f, 0.156250f, 0.558594f, 0.417969f}, - {0.933594f, 0.972656f, 0.085938f, 0.000000f}, {0.160156f, 0.199219f, 0.722656f, 0.734375f}, - {0.242188f, 0.589844f, 0.898438f, 0.378906f}, {0.386719f, 0.941406f, 0.664062f, 0.503906f}, - {0.652344f, 0.851562f, 0.339844f, 0.695312f}, {0.910156f, 0.628906f, 0.765625f, 0.953125f}, - {0.343750f, 0.367188f, 0.218750f, 0.460938f}, {0.503906f, 0.136719f, 0.386719f, 0.769531f}, - {0.078125f, 0.816406f, 0.117188f, 0.976562f}, {0.632812f, 0.257812f, 0.523438f, 0.511719f}, - {0.378906f, 0.335938f, 0.722656f, 0.281250f}, {0.203125f, 0.769531f, 0.789062f, 0.558594f}, - {0.511719f, 0.882812f, 0.144531f, 0.953125f}, {0.347656f, 0.117188f, 0.695312f, 0.769531f}, - {0.253906f, 0.371094f, 0.964844f, 0.523438f}, {0.542969f, 0.425781f, 0.355469f, 0.878906f}, - {0.382812f, 0.082031f, 0.167969f, 0.109375f}, {0.910156f, 0.894531f, 0.582031f, 0.363281f}, - {0.132812f, 0.707031f, 0.472656f, 0.980469f}, {0.765625f, 0.210938f, 0.023438f, 0.445312f}, - {0.000000f, 0.304688f, 0.976562f, 0.148438f}, {0.820312f, 0.542969f, 0.695312f, 0.023438f}, - {0.230469f, 0.925781f, 0.625000f, 0.398438f}, {0.042969f, 0.429688f, 0.902344f, 0.792969f}, - {0.554688f, 0.152344f, 0.738281f, 0.117188f}, {0.339844f, 0.730469f, 0.320312f, 0.480469f}, - {0.804688f, 0.234375f, 0.960938f, 0.187500f}, {0.714844f, 0.375000f, 0.183594f, 0.347656f}, - {0.578125f, 0.492188f, 0.539062f, 0.457031f}, {0.859375f, 0.203125f, 0.230469f, 0.550781f}, - {0.769531f, 0.730469f, 0.832031f, 0.175781f}, {0.484375f, 0.789062f, 0.453125f, 0.031250f}, - {0.308594f, 0.953125f, 0.718750f, 0.746094f}, {0.066406f, 0.554688f, 0.890625f, 0.214844f}, - {0.378906f, 0.105469f, 0.085938f, 0.121094f}, {0.503906f, 0.195312f, 0.316406f, 0.605469f}, - {0.949219f, 0.867188f, 0.167969f, 0.429688f}, {0.546875f, 0.531250f, 0.824219f, 0.542969f}, - {0.316406f, 0.832031f, 0.207031f, 0.718750f}, {0.117188f, 0.390625f, 0.554688f, 0.460938f}, - {0.515625f, 0.152344f, 0.492188f, 0.011719f}, {0.906250f, 0.597656f, 0.117188f, 0.156250f}, - {0.046875f, 0.261719f, 0.417969f, 0.234375f}, {0.625000f, 0.542969f, 0.773438f, 0.707031f}, - {0.386719f, 0.667969f, 0.476562f, 0.121094f}, {0.308594f, 0.062500f, 0.320312f, 0.593750f}, - {0.167969f, 0.285156f, 0.886719f, 0.417969f}, {0.601562f, 0.199219f, 0.042969f, 0.777344f}, - {0.835938f, 0.425781f, 0.187500f, 0.082031f}, {0.214844f, 0.343750f, 0.539062f, 0.648438f}, - {0.023438f, 0.632812f, 0.398438f, 0.390625f}, {0.640625f, 0.093750f, 0.671875f, 0.195312f}, - {0.984375f, 0.820312f, 0.445312f, 0.074219f}, {0.382812f, 0.921875f, 0.617188f, 0.449219f}, - {0.910156f, 0.492188f, 0.828125f, 0.531250f}, {0.832031f, 0.683594f, 0.941406f, 0.859375f}, - {0.125000f, 0.859375f, 0.046875f, 0.941406f}, {0.929688f, 0.058594f, 0.750000f, 0.617188f}, - {0.218750f, 0.816406f, 0.835938f, 0.273438f}, {0.730469f, 0.222656f, 0.296875f, 0.441406f}, - {0.574219f, 0.652344f, 0.441406f, 0.921875f}, {0.832031f, 0.886719f, 0.878906f, 0.484375f}, - {0.117188f, 0.835938f, 0.226562f, 0.085938f}, {0.773438f, 0.050781f, 0.476562f, 0.781250f}, - {0.343750f, 0.789062f, 0.292969f, 0.929688f}, {0.695312f, 0.468750f, 0.382812f, 0.535156f}, - {0.882812f, 0.281250f, 0.019531f, 0.898438f}, {0.785156f, 0.125000f, 0.804688f, 0.160156f}, - {0.304688f, 0.507812f, 0.101562f, 0.640625f}, {0.093750f, 0.230469f, 0.546875f, 0.105469f}, - {0.839844f, 0.968750f, 0.929688f, 0.253906f}, {0.593750f, 0.476562f, 0.652344f, 0.605469f}, - {0.773438f, 0.011719f, 0.816406f, 0.046875f}, {0.976562f, 0.527344f, 0.304688f, 0.890625f}, - {0.464844f, 0.941406f, 0.187500f, 0.183594f}, {0.660156f, 0.460938f, 0.921875f, 0.804688f}, - {0.875000f, 0.718750f, 0.328125f, 0.335938f}, {0.933594f, 0.175781f, 0.246094f, 0.214844f}, - {0.011719f, 0.636719f, 0.000000f, 0.640625f}, {0.628906f, 0.980469f, 0.632812f, 0.925781f}, - {0.187500f, 0.246094f, 0.281250f, 0.261719f}, {0.835938f, 0.046875f, 0.921875f, 0.617188f}, - {0.273438f, 0.832031f, 0.660156f, 0.542969f}, {0.691406f, 0.648438f, 0.226562f, 0.726562f}, - {0.988281f, 0.882812f, 0.527344f, 0.675781f}, {0.597656f, 0.039062f, 0.351562f, 0.921875f}, - {0.304688f, 0.253906f, 0.152344f, 0.515625f}, {0.902344f, 0.804688f, 0.484375f, 0.277344f}, - {0.656250f, 0.632812f, 0.113281f, 0.898438f}, {0.257812f, 0.078125f, 0.410156f, 0.742188f}, - {0.132812f, 0.566406f, 0.000000f, 0.828125f}, {0.210938f, 0.914062f, 0.781250f, 0.042969f}, - {0.394531f, 0.675781f, 0.613281f, 0.949219f}, {0.171875f, 0.117188f, 0.929688f, 0.664062f}, - {0.910156f, 0.351562f, 0.300781f, 0.808594f}, {0.605469f, 0.160156f, 0.160156f, 0.503906f}, - {0.214844f, 0.695312f, 0.597656f, 0.980469f}, {0.550781f, 0.246094f, 0.207031f, 0.562500f}, - {0.847656f, 0.335938f, 0.789062f, 0.851562f}, {0.152344f, 0.601562f, 0.519531f, 0.277344f}, - {0.722656f, 0.738281f, 0.742188f, 0.171875f}, {0.226562f, 0.296875f, 0.375000f, 0.777344f}, - {0.625000f, 0.031250f, 0.683594f, 0.078125f}, {0.984375f, 0.917969f, 0.867188f, 0.851562f}, - {0.171875f, 0.710938f, 0.339844f, 0.585938f}, {0.351562f, 0.996094f, 0.011719f, 0.746094f}, - {0.277344f, 0.765625f, 0.636719f, 0.406250f}, {0.101562f, 0.183594f, 0.964844f, 0.890625f}, - {0.539062f, 0.332031f, 0.089844f, 0.542969f}, {0.847656f, 0.472656f, 0.218750f, 0.960938f}, - {0.722656f, 0.621094f, 0.515625f, 0.015625f}, {0.109375f, 0.750000f, 0.750000f, 0.859375f}, - {0.355469f, 0.835938f, 0.347656f, 0.167969f}, {0.679688f, 0.976562f, 0.949219f, 0.562500f}, - {0.496094f, 0.468750f, 0.148438f, 0.812500f}, {0.292969f, 0.281250f, 0.789062f, 0.945312f}, - {0.789062f, 0.585938f, 0.882812f, 0.335938f}, {0.062500f, 0.324219f, 0.007812f, 0.679688f}, - {0.695312f, 0.410156f, 0.214844f, 0.597656f}, {0.191406f, 0.140625f, 0.371094f, 0.292969f}, - {0.636719f, 0.933594f, 0.261719f, 0.054688f}, {0.078125f, 0.351562f, 0.675781f, 0.753906f}, - {0.515625f, 0.585938f, 0.191406f, 0.195312f}, {0.886719f, 0.742188f, 0.625000f, 0.332031f}, - {0.441406f, 0.457031f, 0.988281f, 0.726562f}, {0.253906f, 0.265625f, 0.015625f, 0.156250f}, - {0.980469f, 0.511719f, 0.355469f, 0.570312f}, {0.031250f, 0.628906f, 0.824219f, 0.296875f}, - {0.617188f, 0.347656f, 0.949219f, 0.203125f}, {0.566406f, 0.875000f, 0.636719f, 0.621094f}, - {0.058594f, 0.664062f, 0.246094f, 0.257812f}, {0.515625f, 0.734375f, 0.574219f, 0.437500f}, - {0.183594f, 0.406250f, 0.167969f, 0.796875f}, {0.414062f, 0.062500f, 0.273438f, 0.343750f}, - {0.703125f, 0.292969f, 0.843750f, 0.855469f}, {0.222656f, 0.781250f, 0.011719f, 0.152344f}, - {0.023438f, 0.648438f, 0.437500f, 0.312500f}, {0.292969f, 0.382812f, 0.582031f, 0.738281f}, - {0.726562f, 0.851562f, 0.074219f, 0.628906f}, {0.066406f, 0.050781f, 0.406250f, 0.121094f}, - {0.171875f, 0.300781f, 0.843750f, 0.464844f}, {0.585938f, 0.542969f, 0.539062f, 0.386719f}, - {0.804688f, 0.839844f, 0.750000f, 0.039062f}, {0.453125f, 0.500000f, 0.882812f, 0.707031f}, - {0.722656f, 0.757812f, 0.445312f, 0.484375f}, {0.066406f, 0.578125f, 0.382812f, 0.007812f}, - {0.429688f, 0.449219f, 0.835938f, 0.789062f}, {0.347656f, 0.109375f, 0.085938f, 0.089844f}, - {0.203125f, 0.378906f, 0.781250f, 0.343750f}, {0.085938f, 0.742188f, 0.269531f, 0.835938f}, - {0.742188f, 0.585938f, 0.929688f, 0.179688f}, {0.394531f, 0.191406f, 0.839844f, 0.632812f}, - {0.964844f, 0.960938f, 0.210938f, 0.328125f}, {0.515625f, 0.464844f, 0.570312f, 0.539062f}, - {0.460938f, 0.828125f, 0.710938f, 0.226562f}, {0.941406f, 0.042969f, 0.351562f, 0.613281f}, - {0.671875f, 0.425781f, 0.085938f, 0.386719f}, {0.085938f, 0.882812f, 0.484375f, 0.128906f}, - {0.437500f, 0.617188f, 0.660156f, 0.253906f}, {0.125000f, 0.058594f, 0.015625f, 0.324219f}, - {0.929688f, 0.468750f, 0.550781f, 0.632812f}, {0.792969f, 0.824219f, 0.425781f, 0.468750f}, - {0.636719f, 0.023438f, 0.949219f, 0.007812f}, {0.335938f, 0.937500f, 0.046875f, 0.667969f}, - {0.882812f, 0.437500f, 0.468750f, 0.339844f}, {0.437500f, 0.125000f, 0.976562f, 0.976562f}, - {0.085938f, 0.671875f, 0.082031f, 0.394531f}, {0.398438f, 0.562500f, 0.433594f, 0.308594f}, - {0.773438f, 0.351562f, 0.937500f, 0.925781f}, {0.664062f, 0.453125f, 0.742188f, 0.523438f}, - {0.871094f, 0.046875f, 0.289062f, 0.351562f}, {0.792969f, 0.871094f, 0.847656f, 0.832031f}, - {0.195312f, 0.132812f, 0.378906f, 0.261719f}, {0.425781f, 0.964844f, 0.687500f, 0.187500f}, - {0.996094f, 0.570312f, 0.933594f, 0.734375f}, {0.253906f, 0.011719f, 0.429688f, 0.316406f}, - {0.906250f, 0.519531f, 0.820312f, 0.457031f}, {0.140625f, 0.132812f, 0.644531f, 0.250000f}, - {0.820312f, 0.667969f, 0.074219f, 0.035156f}, {0.089844f, 0.902344f, 0.500000f, 0.488281f}, - {0.449219f, 0.781250f, 0.324219f, 0.871094f}, {0.339844f, 0.000000f, 0.562500f, 0.230469f}, - {0.246094f, 0.546875f, 0.695312f, 0.101562f}, {0.578125f, 0.644531f, 0.898438f, 0.804688f}, - {0.460938f, 0.757812f, 0.496094f, 0.367188f}, {0.796875f, 0.437500f, 0.117188f, 0.476562f}, - {0.359375f, 0.304688f, 0.347656f, 0.984375f}, {0.015625f, 0.906250f, 0.542969f, 0.015625f}, - {0.175781f, 0.007812f, 0.074219f, 0.605469f}, {0.660156f, 0.703125f, 0.718750f, 0.882812f}, - {0.496094f, 0.183594f, 0.582031f, 0.382812f}, {0.410156f, 0.761719f, 0.687500f, 0.968750f}, - {0.199219f, 0.093750f, 0.117188f, 0.460938f}, {0.285156f, 0.222656f, 0.519531f, 0.070312f}, - {0.445312f, 0.539062f, 0.855469f, 0.859375f}, {0.746094f, 0.023438f, 0.445312f, 0.039062f}, - {0.996094f, 0.828125f, 0.957031f, 0.558594f}, {0.625000f, 0.914062f, 0.714844f, 0.707031f}, - {0.890625f, 0.574219f, 0.484375f, 0.917969f}, {0.144531f, 0.089844f, 0.355469f, 0.527344f}, - {0.367188f, 0.710938f, 0.894531f, 0.390625f}, {0.906250f, 0.160156f, 0.746094f, 0.441406f}, - {0.531250f, 0.218750f, 0.671875f, 0.062500f}, {0.828125f, 0.605469f, 0.957031f, 0.851562f}, - {0.324219f, 0.414062f, 0.617188f, 0.992188f}, {0.406250f, 0.917969f, 0.113281f, 0.601562f}, - {0.125000f, 0.023438f, 0.480469f, 0.160156f}, {0.296875f, 0.328125f, 0.199219f, 0.828125f}, - {0.953125f, 0.191406f, 0.070312f, 0.429688f}, {0.527344f, 0.941406f, 0.730469f, 0.199219f}, - {0.609375f, 0.289062f, 0.140625f, 0.894531f}, {0.929688f, 0.160156f, 0.949219f, 0.285156f}, - {0.503906f, 0.812500f, 0.601562f, 0.582031f}, {0.863281f, 0.484375f, 0.421875f, 0.464844f}, - {0.457031f, 0.082031f, 0.058594f, 0.078125f}, {0.164062f, 0.398438f, 0.644531f, 0.968750f}, - {0.097656f, 0.281250f, 0.300781f, 0.425781f}, {0.781250f, 0.695312f, 0.945312f, 0.003906f}, - {0.015625f, 0.328125f, 0.871094f, 0.695312f}, {0.851562f, 0.179688f, 0.257812f, 0.292969f}, - {0.531250f, 0.777344f, 0.144531f, 0.765625f}, {0.328125f, 0.527344f, 0.859375f, 0.863281f}, - {0.824219f, 0.296875f, 0.375000f, 0.437500f}, {0.726562f, 0.917969f, 0.808594f, 0.062500f}, - {0.273438f, 0.394531f, 0.109375f, 0.164062f}, {0.417969f, 0.515625f, 0.332031f, 0.378906f}, - {0.097656f, 0.761719f, 0.695312f, 0.792969f}, {0.472656f, 0.652344f, 0.609375f, 0.898438f}, - {0.039062f, 0.171875f, 0.277344f, 0.511719f}, {0.261719f, 0.976562f, 0.136719f, 0.695312f}, - {0.828125f, 0.238281f, 0.648438f, 0.140625f}, {0.585938f, 0.792969f, 0.234375f, 0.632812f}, - {0.007812f, 0.082031f, 0.593750f, 0.218750f}, {0.492188f, 0.281250f, 0.152344f, 0.097656f}, - {0.234375f, 0.636719f, 0.199219f, 0.652344f}, {0.457031f, 0.402344f, 0.542969f, 0.035156f}, - {0.691406f, 0.714844f, 0.050781f, 0.476562f}, {0.054688f, 0.808594f, 0.625000f, 0.382812f}, - {0.628906f, 0.371094f, 0.125000f, 0.617188f}, {0.480469f, 0.253906f, 0.261719f, 0.933594f}, - {0.558594f, 0.699219f, 0.015625f, 0.667969f}, {0.414062f, 0.394531f, 0.585938f, 0.902344f}, - {0.964844f, 0.214844f, 0.230469f, 0.746094f}, {0.726562f, 0.070312f, 0.968750f, 0.136719f}, - {0.609375f, 0.714844f, 0.742188f, 0.628906f}, {0.871094f, 0.171875f, 0.109375f, 0.425781f}, - {0.035156f, 0.988281f, 0.421875f, 0.917969f}, {0.742188f, 0.253906f, 0.781250f, 0.710938f}, - {0.972656f, 0.039062f, 0.605469f, 0.554688f}, {0.285156f, 0.191406f, 0.968750f, 0.140625f}, - {0.554688f, 0.531250f, 0.851562f, 0.656250f}, {0.949219f, 0.101562f, 0.406250f, 0.828125f}, - {0.710938f, 0.394531f, 0.242188f, 0.507812f}, {0.312500f, 0.953125f, 0.796875f, 0.265625f}, - {0.816406f, 0.566406f, 0.156250f, 0.683594f}, {0.902344f, 0.433594f, 0.425781f, 0.121094f}, - {0.726562f, 0.921875f, 0.210938f, 0.820312f}, {0.953125f, 0.386719f, 0.054688f, 0.726562f}, - {0.132812f, 0.988281f, 0.761719f, 0.320312f}, {0.847656f, 0.167969f, 0.320312f, 0.996094f}, - {0.007812f, 0.445312f, 0.398438f, 0.406250f}, {0.261719f, 0.621094f, 0.632812f, 0.210938f}, - {0.472656f, 0.343750f, 0.082031f, 0.011719f}, {0.804688f, 0.882812f, 0.207031f, 0.656250f}, - {0.574219f, 0.429688f, 0.140625f, 0.816406f}, {0.429688f, 0.988281f, 0.265625f, 0.937500f}, - {0.246094f, 0.757812f, 0.488281f, 0.242188f}, {0.109375f, 0.109375f, 0.042969f, 0.675781f}, - {0.691406f, 0.675781f, 0.367188f, 0.507812f}, {0.992188f, 0.234375f, 0.292969f, 0.269531f}, - {0.500000f, 0.730469f, 0.808594f, 0.753906f}, {0.761719f, 0.128906f, 0.984375f, 0.312500f}, - {0.234375f, 0.667969f, 0.648438f, 0.964844f}, {0.851562f, 0.398438f, 0.550781f, 0.664062f}, - {0.039062f, 0.523438f, 0.312500f, 0.136719f}, {0.152344f, 0.699219f, 0.492188f, 0.406250f}, - {0.644531f, 0.976562f, 0.187500f, 0.945312f}, {0.253906f, 0.320312f, 0.710938f, 0.210938f}, - {0.687500f, 0.667969f, 0.546875f, 0.761719f}, {0.570312f, 0.898438f, 0.757812f, 0.667969f}, - {0.882812f, 0.769531f, 0.097656f, 0.144531f}, {0.359375f, 0.519531f, 0.460938f, 0.878906f}, - {0.597656f, 0.105469f, 0.675781f, 0.472656f}, {0.285156f, 0.976562f, 0.523438f, 0.996094f}, - {0.750000f, 0.250000f, 0.421875f, 0.082031f}, {0.050781f, 0.578125f, 0.980469f, 0.523438f}, - {0.625000f, 0.738281f, 0.742188f, 0.683594f}, {0.500000f, 0.214844f, 0.269531f, 0.937500f}, - {0.000000f, 0.992188f, 0.917969f, 0.296875f}, {0.187500f, 0.144531f, 0.832031f, 0.726562f}, - {0.988281f, 0.277344f, 0.156250f, 0.226562f}, {0.769531f, 0.363281f, 0.398438f, 0.097656f}, - {0.562500f, 0.570312f, 0.898438f, 0.437500f}, {0.687500f, 0.851562f, 0.531250f, 0.246094f}, - {0.941406f, 0.410156f, 0.839844f, 0.027344f}, {0.730469f, 0.511719f, 0.308594f, 0.867188f}, - {0.300781f, 0.199219f, 0.796875f, 0.492188f}, {0.914062f, 0.828125f, 0.496094f, 0.781250f}, - {0.132812f, 0.949219f, 0.703125f, 0.171875f}, {0.953125f, 0.527344f, 0.445312f, 0.941406f}, - {0.582031f, 0.230469f, 0.878906f, 0.691406f}, {0.339844f, 0.085938f, 0.781250f, 0.816406f}, - {0.804688f, 0.890625f, 0.570312f, 0.062500f}, {0.082031f, 0.164062f, 0.312500f, 0.523438f}, - {0.765625f, 0.785156f, 0.859375f, 0.101562f}, {0.312500f, 0.925781f, 0.453125f, 0.359375f}, - {0.230469f, 0.558594f, 0.691406f, 0.578125f}, {0.535156f, 0.335938f, 0.378906f, 0.277344f}, - {0.167969f, 0.441406f, 0.273438f, 0.777344f}, {0.941406f, 0.875000f, 0.855469f, 0.000000f}, - {0.507812f, 0.371094f, 0.160156f, 0.507812f}, {0.394531f, 0.800781f, 0.050781f, 0.191406f}, - {0.148438f, 0.597656f, 0.304688f, 0.261719f}, {0.679688f, 0.960938f, 0.457031f, 0.894531f}, - {0.226562f, 0.855469f, 0.027344f, 0.410156f}, {0.843750f, 0.675781f, 0.765625f, 0.093750f}, - {0.601562f, 0.796875f, 0.937500f, 0.222656f}, {0.097656f, 0.148438f, 0.488281f, 0.785156f}, - {0.148438f, 0.300781f, 0.320312f, 0.035156f}, {0.539062f, 0.039062f, 0.906250f, 0.632812f}, - {0.070312f, 0.609375f, 0.609375f, 0.363281f}, {0.671875f, 0.816406f, 0.972656f, 0.500000f}, - {0.371094f, 0.312500f, 0.699219f, 0.585938f}, {0.589844f, 0.699219f, 0.136719f, 0.148438f}, - {0.328125f, 0.261719f, 0.031250f, 0.773438f}, {0.546875f, 0.746094f, 0.910156f, 0.277344f}, - {0.105469f, 0.195312f, 0.589844f, 0.472656f}, {0.679688f, 0.519531f, 0.773438f, 0.109375f}, - {0.937500f, 0.246094f, 0.996094f, 0.722656f}, {0.179688f, 0.324219f, 0.558594f, 0.195312f}, - {0.753906f, 0.562500f, 0.878906f, 0.562500f}, {0.601562f, 0.488281f, 0.222656f, 0.355469f}, - {0.867188f, 0.949219f, 0.773438f, 0.105469f}, {0.210938f, 0.808594f, 0.167969f, 0.867188f}, - {0.648438f, 0.363281f, 0.574219f, 0.058594f}, {0.078125f, 0.468750f, 0.410156f, 0.574219f}, - {0.375000f, 0.878906f, 0.035156f, 0.515625f}, {0.679688f, 0.796875f, 0.234375f, 0.351562f}, - {0.316406f, 0.007812f, 0.765625f, 0.742188f}, {0.792969f, 0.609375f, 0.375000f, 0.625000f}, - {0.402344f, 0.234375f, 0.890625f, 0.808594f}, {0.019531f, 0.871094f, 0.007812f, 0.054688f}, - {0.824219f, 0.546875f, 0.332031f, 0.546875f}, {0.320312f, 0.015625f, 0.812500f, 0.363281f}, - {0.222656f, 0.144531f, 0.390625f, 0.246094f}, {0.722656f, 0.363281f, 0.167969f, 0.597656f}, - {0.417969f, 0.859375f, 0.031250f, 0.792969f}, {0.179688f, 0.648438f, 0.800781f, 0.167969f}, - {0.917969f, 0.402344f, 0.632812f, 0.351562f}, {0.246094f, 0.007812f, 0.058594f, 0.207031f}, - {0.964844f, 0.839844f, 0.191406f, 0.585938f}, {0.367188f, 0.097656f, 0.503906f, 0.820312f}, - {0.878906f, 0.609375f, 0.039062f, 0.117188f}, {0.589844f, 0.871094f, 0.640625f, 0.914062f}, - {0.675781f, 0.058594f, 0.230469f, 0.542969f}, {0.296875f, 0.796875f, 0.773438f, 0.613281f}, - {0.898438f, 0.484375f, 0.019531f, 0.828125f}, {0.140625f, 0.007812f, 0.730469f, 0.937500f}, - {0.355469f, 0.304688f, 0.363281f, 0.578125f}, {0.191406f, 0.753906f, 0.070312f, 0.722656f}, - {0.535156f, 0.906250f, 0.902344f, 0.433594f}, {0.636719f, 0.578125f, 0.031250f, 0.992188f}, - {0.367188f, 0.019531f, 0.992188f, 0.332031f}, {0.738281f, 0.683594f, 0.343750f, 0.554688f}, - {0.027344f, 0.320312f, 0.250000f, 0.128906f}, {0.285156f, 0.441406f, 0.167969f, 0.296875f}, - {0.933594f, 0.605469f, 0.488281f, 0.234375f}, {0.179688f, 0.500000f, 0.980469f, 0.785156f}, - {0.660156f, 0.304688f, 0.734375f, 0.433594f}, {0.011719f, 0.035156f, 0.183594f, 0.207031f}, - {0.855469f, 0.843750f, 0.906250f, 0.703125f}, {0.371094f, 0.617188f, 0.042969f, 0.988281f}, - {0.105469f, 0.269531f, 0.480469f, 0.398438f}, {0.656250f, 0.519531f, 0.640625f, 0.328125f}, - {0.773438f, 0.097656f, 0.941406f, 0.843750f}, {0.312500f, 0.472656f, 0.539062f, 0.964844f}, - {0.894531f, 0.703125f, 0.238281f, 0.046875f}, {0.109375f, 0.132812f, 0.703125f, 0.769531f}, - {0.429688f, 0.273438f, 0.175781f, 0.585938f}, {0.046875f, 0.492188f, 0.574219f, 0.347656f}, - {0.382812f, 0.355469f, 0.285156f, 0.953125f}, {0.472656f, 0.636719f, 0.660156f, 0.437500f}, - {0.769531f, 0.847656f, 0.093750f, 0.542969f}, {0.347656f, 0.246094f, 0.832031f, 0.910156f}, - {0.250000f, 0.726562f, 0.371094f, 0.175781f}, {0.875000f, 0.136719f, 0.273438f, 0.238281f}, - {0.492188f, 0.484375f, 0.500000f, 0.671875f}, {0.210938f, 0.562500f, 0.871094f, 0.089844f}, - {0.820312f, 0.078125f, 0.234375f, 0.890625f}, {0.718750f, 0.957031f, 0.812500f, 0.621094f}, - {0.398438f, 0.121094f, 0.515625f, 0.949219f}, {0.035156f, 0.804688f, 0.300781f, 0.367188f}, - {0.308594f, 0.015625f, 0.386719f, 0.589844f}, {0.640625f, 0.636719f, 0.707031f, 0.296875f}, - {0.054688f, 0.898438f, 0.101562f, 0.023438f}, {0.468750f, 0.042969f, 0.445312f, 0.789062f}, - {0.359375f, 0.285156f, 0.652344f, 0.714844f}, {0.027344f, 0.167969f, 0.925781f, 0.421875f}, - {0.554688f, 0.539062f, 0.710938f, 0.929688f}, {0.890625f, 0.621094f, 0.332031f, 0.226562f}, - {0.164062f, 0.093750f, 0.906250f, 0.109375f}, {0.578125f, 0.265625f, 0.855469f, 0.882812f}, - {0.460938f, 0.910156f, 0.671875f, 0.042969f}, {0.914062f, 0.367188f, 0.105469f, 0.250000f}, - {0.734375f, 0.070312f, 0.621094f, 0.492188f}, {0.542969f, 0.183594f, 0.996094f, 0.308594f}, - {0.980469f, 0.421875f, 0.238281f, 0.703125f}, {0.128906f, 0.621094f, 0.503906f, 0.933594f}, - {0.632812f, 0.925781f, 0.906250f, 0.839844f}, {0.953125f, 0.218750f, 0.597656f, 0.109375f}, - {0.039062f, 0.589844f, 0.960938f, 0.402344f}, {0.667969f, 0.714844f, 0.218750f, 0.550781f}, - {0.472656f, 0.484375f, 0.312500f, 0.718750f}, {0.558594f, 0.152344f, 0.582031f, 0.894531f}, - {0.152344f, 0.355469f, 0.691406f, 0.023438f}, {0.691406f, 0.671875f, 0.445312f, 0.410156f}, - {0.753906f, 0.316406f, 0.867188f, 0.496094f}, {0.527344f, 0.546875f, 0.562500f, 0.656250f}, - {0.125000f, 0.714844f, 0.304688f, 0.042969f}, {0.390625f, 0.218750f, 0.988281f, 0.320312f}, - {0.218750f, 0.894531f, 0.585938f, 0.183594f}, {0.511719f, 0.691406f, 0.187500f, 0.761719f}, - {0.457031f, 0.101562f, 0.457031f, 0.296875f}, {0.050781f, 0.628906f, 0.671875f, 0.371094f}, - {0.816406f, 0.148438f, 0.554688f, 0.054688f}, {0.082031f, 0.371094f, 0.386719f, 0.269531f}, - {0.417969f, 0.472656f, 0.753906f, 0.617188f}, {0.839844f, 0.175781f, 0.109375f, 0.750000f}, - {0.218750f, 0.933594f, 0.656250f, 0.421875f}, {0.527344f, 0.742188f, 0.910156f, 0.910156f}, - {0.875000f, 0.050781f, 0.402344f, 0.589844f}, {0.390625f, 0.988281f, 0.082031f, 0.972656f}, - {0.460938f, 0.652344f, 0.355469f, 0.148438f}, {0.921875f, 0.464844f, 0.546875f, 0.847656f}, - {0.601562f, 0.113281f, 0.132812f, 0.484375f}, {0.710938f, 0.964844f, 0.773438f, 0.089844f}, - {0.273438f, 0.761719f, 0.593750f, 0.550781f}, {0.433594f, 0.664062f, 0.199219f, 0.156250f}, - {0.203125f, 0.222656f, 0.355469f, 0.664062f}, {0.000000f, 0.835938f, 0.812500f, 0.609375f}, - {0.625000f, 0.320312f, 0.738281f, 0.445312f}, {0.804688f, 0.410156f, 0.914062f, 0.304688f}, - {0.523438f, 0.617188f, 0.644531f, 0.695312f}, {0.738281f, 0.070312f, 0.121094f, 0.179688f}, - {0.886719f, 0.210938f, 0.890625f, 0.859375f}, {0.210938f, 0.984375f, 0.531250f, 0.730469f}, - {0.988281f, 0.464844f, 0.000000f, 0.312500f}, {0.628906f, 0.527344f, 0.726562f, 0.078125f}, - {0.433594f, 0.902344f, 0.472656f, 0.765625f}, {0.789062f, 0.058594f, 0.171875f, 0.957031f}, - {0.042969f, 0.656250f, 0.570312f, 0.441406f}, {0.652344f, 0.796875f, 0.656250f, 0.832031f}, - {0.914062f, 0.371094f, 0.339844f, 0.332031f}, {0.164062f, 0.875000f, 0.453125f, 0.515625f}, - {0.968750f, 0.476562f, 0.167969f, 0.750000f}, {0.777344f, 0.683594f, 0.683594f, 0.160156f}, - {0.492188f, 0.851562f, 0.019531f, 0.843750f}, {0.855469f, 0.144531f, 0.808594f, 0.972656f}, - {0.960938f, 0.449219f, 0.332031f, 0.453125f}, {0.265625f, 0.781250f, 0.531250f, 0.898438f}, - {0.781250f, 0.394531f, 0.851562f, 0.183594f}, {0.921875f, 0.855469f, 0.015625f, 0.628906f}, - {0.285156f, 0.066406f, 0.132812f, 0.378906f}, {0.421875f, 0.992188f, 0.507812f, 0.796875f}, - {0.816406f, 0.753906f, 0.269531f, 0.695312f}, {0.972656f, 0.570312f, 0.468750f, 0.449219f}, - {0.113281f, 0.148438f, 0.160156f, 0.554688f}, {0.199219f, 0.726562f, 0.796875f, 0.992188f}, - {0.285156f, 0.464844f, 0.289062f, 0.164062f}, {0.070312f, 0.785156f, 0.453125f, 0.875000f}, - {0.375000f, 0.832031f, 0.843750f, 0.437500f}, {0.500000f, 0.269531f, 0.125000f, 0.023438f}, - {0.445312f, 0.726562f, 0.687500f, 0.507812f}, {0.089844f, 0.457031f, 0.277344f, 0.289062f}, - {0.839844f, 0.046875f, 0.359375f, 0.917969f}, {0.773438f, 0.300781f, 0.761719f, 0.050781f}, - {0.347656f, 0.945312f, 0.882812f, 0.640625f}, {0.101562f, 0.902344f, 0.117188f, 0.460938f}, - {0.816406f, 0.785156f, 0.937500f, 0.265625f}, {0.445312f, 0.453125f, 0.351562f, 0.765625f}, - {0.226562f, 0.171875f, 0.726562f, 0.351562f}, {0.324219f, 0.921875f, 0.082031f, 0.839844f}, - {0.808594f, 0.402344f, 0.421875f, 0.988281f}, {0.027344f, 0.113281f, 0.492188f, 0.398438f}, - {0.855469f, 0.589844f, 0.109375f, 0.480469f}, {0.648438f, 0.339844f, 0.878906f, 0.066406f}, - {0.976562f, 0.945312f, 0.257812f, 0.539062f}, {0.765625f, 0.433594f, 0.953125f, 0.160156f}, - {0.250000f, 0.726562f, 0.140625f, 0.820312f}, {0.570312f, 0.261719f, 0.210938f, 0.894531f}, - {0.964844f, 0.789062f, 0.613281f, 0.097656f}, {0.160156f, 0.117188f, 0.300781f, 0.210938f}, - {0.488281f, 0.839844f, 0.820312f, 0.859375f}, {0.707031f, 0.542969f, 0.019531f, 0.496094f}, - {0.605469f, 0.273438f, 0.714844f, 0.007812f}, {0.125000f, 0.820312f, 0.222656f, 0.718750f}, - {0.750000f, 0.363281f, 0.652344f, 0.339844f}, {0.207031f, 0.195312f, 0.804688f, 0.636719f}, - {0.050781f, 0.718750f, 0.300781f, 0.039062f}, {0.492188f, 0.406250f, 0.406250f, 0.906250f}, - {0.910156f, 0.152344f, 0.992188f, 0.796875f}, {0.832031f, 0.015625f, 0.683594f, 0.214844f}, - {0.570312f, 0.937500f, 0.085938f, 0.738281f}, {0.984375f, 0.570312f, 0.472656f, 0.371094f}, - {0.468750f, 0.050781f, 0.394531f, 0.121094f}, {0.253906f, 0.886719f, 0.066406f, 0.820312f}, - {0.328125f, 0.769531f, 0.332031f, 0.535156f}, {0.937500f, 0.921875f, 0.441406f, 0.011719f}, - {0.640625f, 0.718750f, 0.199219f, 0.488281f}, {0.289062f, 0.031250f, 0.390625f, 0.136719f}, - {0.007812f, 0.773438f, 0.992188f, 0.601562f}, {0.566406f, 0.398438f, 0.230469f, 0.406250f}, - {0.171875f, 0.191406f, 0.785156f, 0.855469f}, {0.933594f, 0.343750f, 0.046875f, 0.285156f}, - {0.121094f, 0.949219f, 0.921875f, 0.003906f}, {0.292969f, 0.218750f, 0.097656f, 0.558594f}, - {0.441406f, 0.027344f, 0.734375f, 0.199219f}, {0.515625f, 0.597656f, 0.976562f, 0.050781f}, - {0.250000f, 0.402344f, 0.066406f, 0.425781f}, {0.363281f, 0.300781f, 0.859375f, 0.250000f}, - {0.203125f, 0.546875f, 0.433594f, 0.066406f}, {0.117188f, 0.363281f, 0.613281f, 0.644531f}, - {0.542969f, 0.726562f, 0.191406f, 0.535156f}, {0.410156f, 0.199219f, 0.964844f, 0.125000f}, - {0.140625f, 0.578125f, 0.261719f, 0.316406f}, {0.667969f, 0.660156f, 0.394531f, 0.496094f}, - {0.488281f, 0.441406f, 0.625000f, 0.003906f}, {0.734375f, 0.304688f, 0.820312f, 0.601562f}, - {0.007812f, 0.203125f, 0.082031f, 0.292969f}, {0.250000f, 0.417969f, 0.593750f, 0.191406f}, - {0.511719f, 0.503906f, 0.953125f, 0.832031f}, {0.703125f, 0.960938f, 0.417969f, 0.656250f}, - {0.605469f, 0.656250f, 0.566406f, 0.386719f}, {0.886719f, 0.312500f, 0.070312f, 0.097656f}, - {0.753906f, 0.511719f, 0.640625f, 0.777344f}, {0.191406f, 0.109375f, 0.203125f, 0.621094f}, - {0.917969f, 0.992188f, 0.738281f, 0.175781f}, {0.300781f, 0.390625f, 0.437500f, 0.664062f}, - {0.515625f, 0.816406f, 0.078125f, 0.742188f}, {0.230469f, 0.085938f, 0.488281f, 0.226562f}, - {0.589844f, 0.203125f, 0.546875f, 0.324219f}, {0.894531f, 0.558594f, 0.406250f, 0.832031f}, - {0.292969f, 0.261719f, 0.250000f, 0.964844f}, {0.058594f, 0.027344f, 0.789062f, 0.179688f}, - {0.968750f, 0.812500f, 0.515625f, 0.554688f}, {0.484375f, 0.496094f, 0.207031f, 0.242188f}, - {0.914062f, 0.253906f, 0.921875f, 0.144531f}, {0.605469f, 0.968750f, 0.816406f, 0.714844f}, - {0.734375f, 0.457031f, 0.699219f, 0.648438f}, {0.097656f, 0.183594f, 0.332031f, 0.882812f}, - {0.410156f, 0.832031f, 0.605469f, 0.957031f}, {0.292969f, 0.542969f, 0.761719f, 0.679688f}, - {0.691406f, 0.039062f, 0.421875f, 0.597656f}, {0.878906f, 0.984375f, 0.859375f, 0.468750f}, - {0.324219f, 0.601562f, 0.507812f, 0.710938f}, {0.664062f, 0.343750f, 0.925781f, 0.363281f}, - {0.785156f, 0.640625f, 0.453125f, 0.070312f}, {0.093750f, 0.214844f, 0.582031f, 0.652344f}, - {0.347656f, 0.417969f, 0.519531f, 0.390625f}, {0.949219f, 0.140625f, 0.843750f, 0.277344f}, - {0.261719f, 0.769531f, 0.937500f, 0.546875f}, {0.566406f, 0.535156f, 0.066406f, 0.757812f}, - {0.328125f, 0.250000f, 0.503906f, 0.253906f}, {0.796875f, 0.589844f, 0.871094f, 0.445312f}, - {0.144531f, 0.898438f, 0.003906f, 0.304688f}, {0.074219f, 0.308594f, 0.261719f, 0.953125f}, - {0.355469f, 0.390625f, 0.839844f, 0.492188f}, {0.691406f, 0.742188f, 0.144531f, 0.062500f}, - {0.863281f, 0.183594f, 0.589844f, 0.917969f}, {0.175781f, 0.527344f, 0.976562f, 0.230469f}, - {0.582031f, 0.238281f, 0.511719f, 0.992188f}, {0.074219f, 0.441406f, 0.855469f, 0.644531f}, - {0.140625f, 0.554688f, 0.750000f, 0.277344f}, {0.488281f, 0.328125f, 0.687500f, 0.941406f}, - {0.824219f, 0.121094f, 0.582031f, 0.210938f}, {0.703125f, 0.687500f, 0.332031f, 0.699219f}, - {0.324219f, 0.593750f, 0.625000f, 0.519531f}, {0.734375f, 0.859375f, 0.429688f, 0.644531f}, - {0.390625f, 0.433594f, 0.839844f, 0.378906f}, {0.609375f, 0.515625f, 0.390625f, 0.738281f}, - {0.761719f, 0.714844f, 0.539062f, 0.976562f}, {0.074219f, 0.269531f, 0.277344f, 0.679688f}, - {0.882812f, 0.167969f, 0.636719f, 0.796875f}, {0.667969f, 0.769531f, 0.226562f, 0.886719f}, - {0.593750f, 0.925781f, 0.941406f, 0.492188f}, {0.734375f, 0.078125f, 0.128906f, 0.386719f}, - {0.332031f, 0.980469f, 0.722656f, 0.765625f}, {0.699219f, 0.269531f, 0.058594f, 0.265625f}, - {0.835938f, 0.105469f, 0.476562f, 0.699219f}, {0.058594f, 0.917969f, 0.753906f, 0.984375f}, - {0.191406f, 0.710938f, 0.214844f, 0.847656f}, {0.609375f, 0.023438f, 0.976562f, 0.144531f}, - {0.332031f, 0.894531f, 0.683594f, 0.953125f}, {0.640625f, 0.339844f, 0.355469f, 0.761719f}, - {0.867188f, 0.839844f, 0.023438f, 0.027344f}, {0.359375f, 0.117188f, 0.222656f, 0.328125f}, - {0.441406f, 0.242188f, 0.718750f, 0.726562f}, {0.136719f, 0.933594f, 0.878906f, 0.585938f}, - {0.656250f, 0.027344f, 0.382812f, 0.218750f}, {0.796875f, 0.566406f, 0.531250f, 0.976562f}, - {0.582031f, 0.160156f, 0.023438f, 0.339844f}, {0.703125f, 0.664062f, 0.921875f, 0.425781f}, - {0.390625f, 0.765625f, 0.851562f, 0.812500f}, {0.132812f, 0.515625f, 0.156250f, 0.945312f}, - {0.996094f, 0.871094f, 0.718750f, 0.140625f}, {0.718750f, 0.417969f, 0.003906f, 0.593750f}, - {0.406250f, 0.632812f, 0.621094f, 0.066406f}, {0.652344f, 0.738281f, 0.148438f, 0.679688f}, - {0.167969f, 0.363281f, 0.285156f, 0.929688f}, {0.082031f, 0.078125f, 0.667969f, 0.000000f}, - {0.429688f, 0.675781f, 0.027344f, 0.453125f}, {0.261719f, 0.617188f, 0.382812f, 0.796875f}, - {0.339844f, 0.785156f, 0.234375f, 0.265625f}, {0.546875f, 0.050781f, 0.523438f, 0.105469f}, - {0.164062f, 0.273438f, 0.007812f, 0.222656f}, {0.910156f, 0.667969f, 0.804688f, 0.390625f}, - {0.492188f, 0.203125f, 0.082031f, 0.011719f}, {0.121094f, 0.863281f, 0.269531f, 0.242188f}, - {0.011719f, 0.414062f, 0.695312f, 0.519531f}, {0.449219f, 0.496094f, 0.058594f, 0.972656f}, - {0.238281f, 0.914062f, 0.191406f, 0.765625f}, {0.855469f, 0.078125f, 0.367188f, 0.179688f}, - {0.046875f, 0.882812f, 0.281250f, 0.828125f}, {0.437500f, 0.687500f, 0.148438f, 0.113281f}, - {0.816406f, 0.015625f, 0.613281f, 0.949219f}, {0.683594f, 0.937500f, 0.437500f, 0.187500f}, - {0.988281f, 0.859375f, 0.238281f, 0.867188f}, {0.398438f, 0.085938f, 0.574219f, 0.597656f}, - {0.636719f, 0.496094f, 0.722656f, 0.683594f}, {0.742188f, 0.808594f, 0.339844f, 0.019531f}, - {0.234375f, 0.625000f, 0.531250f, 0.574219f}, {0.535156f, 0.460938f, 0.890625f, 0.269531f}, - {0.050781f, 0.976562f, 0.289062f, 0.781250f}, {0.730469f, 0.109375f, 0.214844f, 0.460938f}, - {0.371094f, 0.363281f, 0.789062f, 0.390625f}, {0.789062f, 0.656250f, 0.042969f, 0.074219f}, - {0.679688f, 0.164062f, 0.269531f, 0.757812f}, {0.402344f, 0.839844f, 0.105469f, 0.359375f}, - {0.875000f, 0.261719f, 0.875000f, 0.808594f}, {0.234375f, 0.933594f, 0.144531f, 0.046875f}, - {0.062500f, 0.082031f, 0.945312f, 0.125000f}, {0.523438f, 0.285156f, 0.289062f, 0.937500f}, - {0.855469f, 0.753906f, 0.691406f, 0.164062f}, {0.984375f, 0.148438f, 0.207031f, 0.464844f}, - {0.027344f, 0.894531f, 0.132812f, 0.265625f}, {0.562500f, 0.976562f, 0.785156f, 0.593750f}, - {0.144531f, 0.625000f, 0.476562f, 0.136719f}, {0.824219f, 0.046875f, 0.355469f, 0.320312f}, - {0.445312f, 0.226562f, 0.558594f, 0.710938f}, {0.000000f, 0.664062f, 0.289062f, 0.207031f}, - {0.910156f, 0.468750f, 0.835938f, 0.921875f}, {0.222656f, 0.609375f, 0.589844f, 0.039062f}, - {0.582031f, 0.820312f, 0.898438f, 0.812500f}, {0.984375f, 0.347656f, 0.308594f, 0.445312f}, - {0.378906f, 0.238281f, 0.550781f, 0.238281f}, {0.796875f, 0.523438f, 0.437500f, 0.542969f}, - {0.937500f, 0.792969f, 0.179688f, 0.355469f}, {0.097656f, 0.687500f, 0.742188f, 0.429688f}, - {0.761719f, 0.597656f, 0.523438f, 0.511719f}, {0.035156f, 0.050781f, 0.929688f, 0.132812f}, - {0.957031f, 0.406250f, 0.328125f, 0.921875f}, {0.230469f, 0.609375f, 0.148438f, 0.472656f}, - {0.335938f, 0.707031f, 0.777344f, 0.285156f}, {0.019531f, 0.351562f, 0.976562f, 0.824219f}, - {0.261719f, 0.859375f, 0.316406f, 0.058594f}, {0.058594f, 0.230469f, 0.570312f, 0.570312f}, - {0.882812f, 0.324219f, 0.652344f, 0.484375f}, {0.628906f, 0.601562f, 0.210938f, 0.015625f}, - {0.195312f, 0.132812f, 0.988281f, 0.371094f}, {0.015625f, 0.699219f, 0.832031f, 0.527344f}, - {0.535156f, 0.066406f, 0.335938f, 0.433594f}, {0.851562f, 0.976562f, 0.953125f, 0.742188f}, - {0.574219f, 0.578125f, 0.468750f, 0.621094f}, {0.773438f, 0.855469f, 0.843750f, 0.316406f}, - {0.703125f, 0.148438f, 0.750000f, 0.898438f}, {0.187500f, 0.300781f, 0.136719f, 0.582031f}, - {0.960938f, 0.742188f, 0.644531f, 0.359375f}, {0.796875f, 0.378906f, 0.972656f, 0.523438f}, - {0.031250f, 0.917969f, 0.171875f, 0.847656f}, {0.593750f, 0.507812f, 0.468750f, 0.445312f}, - {0.207031f, 0.332031f, 0.359375f, 0.785156f}, {0.753906f, 0.105469f, 0.566406f, 0.914062f}, - {0.386719f, 0.695312f, 0.960938f, 0.128906f}, {0.613281f, 0.000000f, 0.128906f, 0.308594f}, - {0.914062f, 0.296875f, 0.792969f, 0.570312f}, {0.300781f, 0.730469f, 0.734375f, 0.457031f}, - {0.550781f, 0.574219f, 0.972656f, 0.890625f}, {0.644531f, 0.480469f, 0.046875f, 0.687500f}, - {0.160156f, 0.312500f, 0.335938f, 0.500000f}, {0.507812f, 0.625000f, 0.765625f, 0.417969f}, - {0.093750f, 0.433594f, 0.164062f, 0.082031f}, {0.195312f, 0.347656f, 0.953125f, 0.355469f}, - {0.468750f, 0.699219f, 0.109375f, 0.140625f}, {0.941406f, 0.210938f, 0.449219f, 0.832031f}, - {0.296875f, 0.039062f, 0.656250f, 0.410156f}, {0.417969f, 0.277344f, 0.761719f, 0.878906f}, - {0.121094f, 0.679688f, 0.027344f, 0.625000f}, {0.910156f, 0.792969f, 0.699219f, 0.156250f}, - {0.449219f, 0.863281f, 0.625000f, 0.710938f}, {0.968750f, 0.011719f, 0.367188f, 0.871094f}, - {0.199219f, 0.964844f, 0.554688f, 0.546875f}, {0.531250f, 0.605469f, 0.816406f, 0.441406f}, - {0.105469f, 0.496094f, 0.460938f, 0.906250f}, {0.960938f, 0.804688f, 0.062500f, 0.484375f}, - {0.457031f, 0.546875f, 0.515625f, 0.324219f}, {0.660156f, 0.003906f, 0.753906f, 0.578125f}, - {0.199219f, 0.636719f, 0.035156f, 0.804688f}, {0.265625f, 0.320312f, 0.593750f, 0.093750f}, - {0.347656f, 0.101562f, 0.957031f, 0.906250f}, {0.710938f, 0.453125f, 0.875000f, 0.363281f}, - {0.402344f, 0.824219f, 0.027344f, 0.019531f}, {0.292969f, 0.531250f, 0.750000f, 0.554688f}, - {0.976562f, 0.414062f, 0.910156f, 0.949219f}, {0.078125f, 0.863281f, 0.507812f, 0.089844f}, - {0.792969f, 0.312500f, 0.390625f, 0.609375f}, {0.500000f, 0.000000f, 0.664062f, 0.347656f}, - {0.304688f, 0.507812f, 0.160156f, 0.570312f}, {0.089844f, 0.152344f, 0.109375f, 0.097656f}, - {0.457031f, 0.957031f, 0.800781f, 0.664062f}, {0.539062f, 0.636719f, 0.066406f, 0.738281f}, - {0.144531f, 0.085938f, 0.878906f, 0.082031f}, {0.414062f, 0.175781f, 0.277344f, 0.886719f}, - {0.292969f, 0.285156f, 0.835938f, 0.636719f}, {0.570312f, 0.750000f, 0.617188f, 0.257812f}, - {0.812500f, 0.886719f, 0.058594f, 0.851562f}, {0.527344f, 0.199219f, 0.464844f, 0.082031f}, - {0.851562f, 0.773438f, 0.664062f, 0.535156f}, {0.414062f, 0.441406f, 0.257812f, 0.679688f}, - {0.976562f, 0.914062f, 0.109375f, 0.148438f}, {0.539062f, 0.488281f, 0.812500f, 0.886719f}, - {0.816406f, 0.000000f, 0.371094f, 0.257812f}, {0.316406f, 0.960938f, 0.285156f, 0.703125f}, - {0.484375f, 0.382812f, 0.457031f, 0.785156f}, {0.785156f, 0.277344f, 0.675781f, 0.875000f}, - {0.265625f, 0.476562f, 0.070312f, 0.289062f}, {0.355469f, 0.207031f, 0.585938f, 0.109375f}, - {0.636719f, 0.917969f, 0.179688f, 0.851562f}, {0.929688f, 0.519531f, 0.347656f, 0.515625f}, - {0.007812f, 0.425781f, 0.554688f, 0.199219f}, {0.507812f, 0.011719f, 0.445312f, 0.085938f}, - {0.667969f, 0.886719f, 0.859375f, 0.976562f}, {0.382812f, 0.476562f, 0.300781f, 0.738281f}, - {0.843750f, 0.128906f, 0.726562f, 0.613281f}, {0.437500f, 0.808594f, 0.898438f, 0.183594f}, - {0.652344f, 0.582031f, 0.667969f, 0.332031f}, {0.984375f, 0.753906f, 0.835938f, 0.699219f}, - {0.812500f, 0.242188f, 0.320312f, 0.636719f}, {0.511719f, 0.945312f, 0.625000f, 0.816406f}, - {0.183594f, 0.796875f, 0.421875f, 0.027344f}, {0.742188f, 0.179688f, 0.882812f, 0.253906f}, - {0.972656f, 0.375000f, 0.660156f, 0.613281f}, {0.378906f, 0.964844f, 0.480469f, 0.324219f}, - {0.015625f, 0.222656f, 0.863281f, 0.046875f}, {0.871094f, 0.058594f, 0.695312f, 0.800781f}, - {0.289062f, 0.792969f, 0.382812f, 0.644531f}, {0.765625f, 0.171875f, 0.636719f, 0.929688f}, - {0.554688f, 0.988281f, 0.808594f, 0.531250f}, {0.023438f, 0.546875f, 0.218750f, 0.730469f}, - {0.882812f, 0.886719f, 0.929688f, 0.191406f}, {0.605469f, 0.136719f, 0.167969f, 0.332031f}, - {0.812500f, 0.335938f, 0.414062f, 0.519531f}, {0.652344f, 0.585938f, 0.953125f, 0.093750f}, - {0.269531f, 0.488281f, 0.132812f, 0.312500f}, {0.019531f, 0.292969f, 0.472656f, 0.589844f}, - {0.316406f, 0.410156f, 0.914062f, 0.195312f}, {0.613281f, 0.742188f, 0.175781f, 0.023438f}, - {0.761719f, 0.207031f, 0.398438f, 0.660156f}, {0.363281f, 0.363281f, 0.664062f, 0.253906f}, - {0.585938f, 0.449219f, 0.246094f, 0.746094f}, {0.796875f, 0.996094f, 0.902344f, 0.882812f}, - {0.136719f, 0.835938f, 0.367188f, 0.230469f}, {0.492188f, 0.390625f, 0.492188f, 0.707031f}, - {0.812500f, 0.562500f, 0.316406f, 0.515625f}, {0.636719f, 0.687500f, 0.421875f, 0.839844f}, - {0.898438f, 0.343750f, 0.164062f, 0.664062f}, {0.179688f, 0.125000f, 0.695312f, 0.453125f}, - {0.527344f, 0.746094f, 0.097656f, 0.816406f}, {0.625000f, 0.183594f, 0.207031f, 0.156250f}, - {0.371094f, 0.906250f, 0.003906f, 0.421875f}, {0.160156f, 0.707031f, 0.781250f, 0.683594f}, - {0.656250f, 0.773438f, 0.343750f, 0.894531f}, {0.875000f, 0.406250f, 0.945312f, 0.171875f}, - {0.242188f, 0.859375f, 0.699219f, 0.394531f}, {0.703125f, 0.460938f, 0.375000f, 0.281250f}, - {0.902344f, 0.371094f, 0.636719f, 0.937500f}, {0.207031f, 0.558594f, 0.476562f, 0.574219f}, - {0.679688f, 0.980469f, 0.121094f, 0.203125f}, {0.476562f, 0.484375f, 0.402344f, 0.773438f}, - {0.171875f, 0.332031f, 0.808594f, 0.699219f}, {0.718750f, 0.144531f, 0.906250f, 0.417969f}, - {0.113281f, 0.527344f, 0.195312f, 0.351562f}, {0.617188f, 0.066406f, 0.507812f, 0.933594f}, - {0.460938f, 0.277344f, 0.417969f, 0.734375f}, {0.160156f, 0.640625f, 0.613281f, 0.394531f}, - {0.730469f, 0.738281f, 0.039062f, 0.105469f}, {0.078125f, 0.187500f, 0.777344f, 0.617188f}, - {0.425781f, 0.824219f, 0.527344f, 0.171875f}, {0.679688f, 0.898438f, 0.128906f, 0.984375f}, - {0.949219f, 0.769531f, 0.414062f, 0.230469f}, {0.128906f, 0.320312f, 0.886719f, 0.402344f}, - {0.234375f, 0.648438f, 0.046875f, 0.160156f}, {0.394531f, 0.242188f, 0.964844f, 0.691406f}, - {0.312500f, 0.800781f, 0.265625f, 0.769531f}, {0.875000f, 0.695312f, 0.785156f, 0.414062f}, - {0.132812f, 0.562500f, 0.085938f, 0.046875f}, {0.238281f, 0.218750f, 0.574219f, 0.292969f}, - {0.722656f, 0.640625f, 0.394531f, 0.136719f}, {0.304688f, 0.062500f, 0.222656f, 0.941406f}, - {0.074219f, 0.972656f, 0.039062f, 0.078125f}, {0.351562f, 0.445312f, 0.152344f, 0.542969f}, - {0.265625f, 0.148438f, 0.500000f, 0.417969f}, {0.054688f, 0.531250f, 0.246094f, 0.203125f}, - {0.687500f, 0.621094f, 0.007812f, 0.937500f}, {0.113281f, 0.457031f, 0.535156f, 0.378906f}, - {0.472656f, 0.105469f, 0.210938f, 0.144531f}, {0.218750f, 0.664062f, 0.113281f, 0.996094f}, - {0.703125f, 0.843750f, 0.261719f, 0.218750f}, {0.925781f, 0.523438f, 0.550781f, 0.722656f}, - {0.613281f, 0.730469f, 0.019531f, 0.289062f}, {0.367188f, 0.269531f, 0.886719f, 0.472656f}, - {0.843750f, 0.074219f, 0.304688f, 0.238281f}, {0.703125f, 0.648438f, 0.054688f, 0.984375f}, - {0.171875f, 0.425781f, 0.371094f, 0.078125f}, {0.335938f, 0.734375f, 0.566406f, 0.660156f}, - {0.496094f, 0.949219f, 0.500000f, 0.906250f}, {0.214844f, 0.058594f, 0.312500f, 0.750000f}, - {0.554688f, 0.203125f, 0.867188f, 0.964844f}, {0.839844f, 0.707031f, 0.238281f, 0.257812f}, - {0.707031f, 0.113281f, 0.679688f, 0.828125f}, {0.890625f, 0.890625f, 0.296875f, 0.144531f}, - {0.164062f, 0.042969f, 0.968750f, 0.972656f}, {0.273438f, 0.671875f, 0.796875f, 0.609375f}, - {0.019531f, 0.156250f, 0.562500f, 0.078125f}, {0.910156f, 0.246094f, 0.183594f, 0.371094f}, - {0.414062f, 0.707031f, 0.824219f, 0.437500f}, {0.085938f, 0.195312f, 0.082031f, 0.046875f}, - {0.945312f, 0.781250f, 0.683594f, 0.308594f}, {0.218750f, 0.023438f, 0.621094f, 0.175781f}, - {0.464844f, 0.234375f, 0.261719f, 0.964844f}, {0.105469f, 0.957031f, 0.582031f, 0.234375f}, - {0.750000f, 0.488281f, 0.808594f, 0.738281f}, {0.253906f, 0.582031f, 0.457031f, 0.285156f}, - {0.855469f, 0.367188f, 0.984375f, 0.859375f}, {0.425781f, 0.121094f, 0.250000f, 0.492188f}, - {0.945312f, 0.550781f, 0.433594f, 0.222656f}, {0.738281f, 0.214844f, 0.503906f, 0.953125f}, - {0.019531f, 0.046875f, 0.226562f, 0.515625f}, {0.324219f, 0.734375f, 0.574219f, 0.785156f}, - {0.589844f, 0.257812f, 0.011719f, 0.015625f}, {0.843750f, 0.812500f, 0.988281f, 0.468750f}, - {0.992188f, 0.007812f, 0.238281f, 0.312500f}, {0.082031f, 0.425781f, 0.699219f, 0.054688f}, - {0.382812f, 0.843750f, 0.304688f, 0.972656f}, {0.890625f, 0.667969f, 0.558594f, 0.183594f}, - {0.281250f, 0.968750f, 0.000000f, 0.003906f}, {0.687500f, 0.812500f, 0.742188f, 0.632812f}, - {0.910156f, 0.121094f, 0.867188f, 0.207031f}, {0.347656f, 0.574219f, 0.957031f, 0.511719f}, - {0.238281f, 0.421875f, 0.183594f, 0.957031f}, {0.960938f, 0.097656f, 0.707031f, 0.316406f}, - {0.585938f, 0.667969f, 0.921875f, 0.445312f}, {0.835938f, 0.535156f, 0.238281f, 0.660156f}, - {0.039062f, 0.031250f, 0.800781f, 0.074219f}, {0.464844f, 0.125000f, 0.734375f, 0.808594f}, - {0.742188f, 0.390625f, 0.503906f, 0.367188f}, {0.828125f, 0.054688f, 0.113281f, 0.953125f}, - {0.550781f, 0.996094f, 0.621094f, 0.472656f}, {0.625000f, 0.175781f, 0.203125f, 0.636719f}, - {0.472656f, 0.347656f, 0.941406f, 0.871094f}, {0.046875f, 0.945312f, 0.050781f, 0.675781f}, - {0.937500f, 0.414062f, 0.503906f, 0.492188f}, {0.500000f, 0.265625f, 0.632812f, 0.832031f}, - {0.894531f, 0.683594f, 0.992188f, 0.753906f}, {0.148438f, 0.367188f, 0.437500f, 0.277344f}, - {0.550781f, 0.890625f, 0.777344f, 0.050781f}, {0.945312f, 0.316406f, 0.710938f, 0.871094f}, - {0.410156f, 0.046875f, 0.343750f, 0.484375f}, {0.597656f, 0.855469f, 0.949219f, 0.671875f}, - {0.843750f, 0.261719f, 0.398438f, 0.781250f}, {0.781250f, 0.769531f, 0.597656f, 0.515625f}, - {0.320312f, 0.140625f, 0.796875f, 0.578125f}, {0.425781f, 0.406250f, 0.988281f, 0.894531f}, - {0.062500f, 0.593750f, 0.191406f, 0.160156f}, {0.246094f, 0.875000f, 0.515625f, 0.824219f}, - {0.132812f, 0.484375f, 0.468750f, 0.031250f}, {0.437500f, 0.367188f, 0.605469f, 0.375000f}, - {0.976562f, 0.835938f, 0.859375f, 0.785156f}, {0.046875f, 0.242188f, 0.726562f, 0.433594f}, - {0.765625f, 0.519531f, 0.089844f, 0.226562f}, {0.921875f, 0.394531f, 0.824219f, 0.003906f}, - {0.105469f, 0.921875f, 0.585938f, 0.382812f}, {0.390625f, 0.824219f, 0.007812f, 0.476562f}, - {0.484375f, 0.558594f, 0.738281f, 0.683594f}, {0.070312f, 0.441406f, 0.082031f, 0.347656f}, - {0.433594f, 0.332031f, 0.605469f, 0.417969f}, {0.949219f, 0.765625f, 0.339844f, 0.789062f}, - {0.738281f, 0.906250f, 0.015625f, 0.183594f}, {0.312500f, 0.601562f, 0.441406f, 0.527344f}, - {0.695312f, 0.089844f, 0.722656f, 0.992188f}, {0.605469f, 0.867188f, 0.925781f, 0.644531f}, - {0.539062f, 0.500000f, 0.218750f, 0.769531f}, {0.011719f, 0.929688f, 0.847656f, 0.414062f}, - {0.777344f, 0.296875f, 0.972656f, 0.613281f}, {0.332031f, 0.644531f, 0.398438f, 0.058594f}, - {0.937500f, 0.835938f, 0.328125f, 0.378906f}, {0.691406f, 0.042969f, 0.867188f, 0.542969f}, - {0.039062f, 0.257812f, 0.625000f, 0.011719f}, {0.546875f, 0.964844f, 0.562500f, 0.753906f}, - {0.117188f, 0.632812f, 0.738281f, 0.320312f}, {0.605469f, 0.296875f, 0.054688f, 0.050781f}, - {0.824219f, 0.902344f, 0.820312f, 0.621094f}, {0.507812f, 0.589844f, 0.906250f, 0.863281f}, - {0.058594f, 0.136719f, 0.324219f, 0.152344f}, {0.445312f, 0.929688f, 0.753906f, 0.671875f}, - {0.253906f, 0.703125f, 0.167969f, 0.828125f}, {0.644531f, 0.218750f, 0.593750f, 0.375000f}, - {0.781250f, 0.574219f, 0.085938f, 0.609375f}, {0.000000f, 0.042969f, 0.964844f, 0.550781f}, - {0.500000f, 0.296875f, 0.359375f, 0.871094f}, {0.207031f, 0.394531f, 0.683594f, 0.457031f}, - {0.062500f, 0.214844f, 0.136719f, 0.277344f}, {0.777344f, 0.933594f, 0.480469f, 0.847656f}, - {0.648438f, 0.863281f, 0.332031f, 0.765625f}, {0.121094f, 0.351562f, 0.089844f, 0.042969f}, - {0.367188f, 0.250000f, 0.390625f, 0.554688f}, {0.183594f, 0.433594f, 0.566406f, 0.730469f}, - {0.300781f, 0.593750f, 0.300781f, 0.500000f}, {0.894531f, 0.726562f, 0.636719f, 0.589844f}, - {0.105469f, 0.839844f, 0.375000f, 0.296875f}, {0.199219f, 0.468750f, 0.710938f, 0.125000f}, - {0.062500f, 0.289062f, 0.902344f, 0.027344f}, {0.992188f, 0.609375f, 0.410156f, 0.250000f}, - {0.281250f, 0.101562f, 0.687500f, 0.343750f}, {0.789062f, 0.718750f, 0.343750f, 0.558594f}, - {0.578125f, 0.832031f, 0.878906f, 0.214844f}, {0.187500f, 0.539062f, 0.746094f, 0.378906f}, - {0.691406f, 0.187500f, 0.277344f, 0.457031f}, {0.621094f, 0.031250f, 0.105469f, 0.984375f}, - {0.859375f, 0.812500f, 0.917969f, 0.597656f}, {0.757812f, 0.656250f, 0.558594f, 0.343750f}, - {0.332031f, 0.402344f, 0.179688f, 0.726562f}, {0.027344f, 0.996094f, 0.812500f, 0.085938f}, - {0.261719f, 0.554688f, 0.074219f, 0.851562f}, {0.144531f, 0.351562f, 0.742188f, 0.003906f}, - {0.519531f, 0.925781f, 0.449219f, 0.406250f}, {0.585938f, 0.027344f, 0.324219f, 0.347656f}, - {0.824219f, 0.320312f, 0.097656f, 0.109375f}, {0.953125f, 0.953125f, 0.707031f, 0.558594f}, - {0.671875f, 0.121094f, 0.773438f, 0.695312f}, {0.523438f, 0.773438f, 0.128906f, 0.609375f}, - {0.273438f, 0.003906f, 0.964844f, 0.496094f}, {0.621094f, 0.617188f, 0.265625f, 0.132812f}, - {0.367188f, 0.167969f, 0.199219f, 0.847656f}, {0.722656f, 0.761719f, 0.652344f, 0.539062f}, - {0.156250f, 0.652344f, 0.437500f, 0.621094f}, {0.996094f, 0.253906f, 0.359375f, 0.777344f}, - {0.648438f, 0.148438f, 0.937500f, 0.109375f}, {0.242188f, 0.632812f, 0.496094f, 0.902344f}, - {0.828125f, 0.957031f, 0.769531f, 0.562500f}, {0.558594f, 0.074219f, 0.136719f, 0.289062f}, - {0.503906f, 0.531250f, 0.878906f, 0.703125f}, {0.175781f, 0.476562f, 0.636719f, 0.843750f}, - {0.878906f, 0.277344f, 0.292969f, 0.132812f}, {0.367188f, 0.417969f, 0.125000f, 0.574219f}, - {0.281250f, 0.062500f, 0.550781f, 0.910156f}, {0.847656f, 0.589844f, 0.054688f, 0.273438f}, - {0.664062f, 0.730469f, 0.511719f, 0.121094f}, {0.394531f, 0.402344f, 0.140625f, 0.503906f}, - {0.578125f, 0.089844f, 0.039062f, 0.914062f}, {0.480469f, 0.777344f, 0.714844f, 0.652344f}, - {0.195312f, 0.445312f, 0.179688f, 0.976562f}, {0.785156f, 0.675781f, 0.113281f, 0.132812f}, - {0.351562f, 0.816406f, 0.886719f, 0.835938f}, {0.265625f, 0.488281f, 0.296875f, 0.453125f}, - {0.175781f, 0.093750f, 0.144531f, 0.722656f}, {0.386719f, 0.335938f, 0.656250f, 0.339844f}, - {0.753906f, 0.656250f, 0.531250f, 0.234375f}, {0.132812f, 0.398438f, 0.421875f, 0.421875f}, - {0.351562f, 0.515625f, 0.929688f, 0.925781f}, {0.917969f, 0.105469f, 0.500000f, 0.492188f}, - {0.601562f, 0.914062f, 0.773438f, 0.136719f}, {0.324219f, 0.613281f, 0.441406f, 0.750000f}, - {0.949219f, 0.730469f, 0.222656f, 0.324219f}, {0.578125f, 0.480469f, 0.824219f, 0.808594f}, - {0.402344f, 0.660156f, 0.289062f, 0.062500f}, {0.863281f, 0.761719f, 0.585938f, 0.578125f}, - {0.488281f, 0.515625f, 0.898438f, 0.132812f}, {0.550781f, 0.050781f, 0.644531f, 0.355469f}, - {0.921875f, 0.968750f, 0.832031f, 0.882812f}, {0.710938f, 0.796875f, 0.011719f, 0.261719f}, - {0.511719f, 0.160156f, 0.980469f, 0.019531f}, {0.605469f, 0.945312f, 0.199219f, 0.921875f}, - {0.343750f, 0.214844f, 0.789062f, 0.218750f}, {0.675781f, 0.550781f, 0.019531f, 0.570312f}, - {0.437500f, 0.746094f, 0.468750f, 0.734375f}, {0.707031f, 0.875000f, 0.542969f, 0.804688f}, - {0.144531f, 0.503906f, 0.285156f, 0.910156f}, {0.406250f, 0.019531f, 0.121094f, 0.101562f}, - {0.742188f, 0.312500f, 0.816406f, 0.714844f}, {0.097656f, 0.933594f, 0.183594f, 0.007812f}, - {0.371094f, 0.761719f, 0.589844f, 0.648438f}, {0.453125f, 0.492188f, 0.378906f, 0.167969f}, - {0.222656f, 0.585938f, 0.847656f, 0.796875f}, {0.121094f, 0.214844f, 0.058594f, 0.128906f}, - {0.484375f, 0.730469f, 0.632812f, 0.546875f}, {0.914062f, 0.078125f, 0.871094f, 0.296875f}, - {0.640625f, 0.191406f, 0.304688f, 0.441406f}, {0.886719f, 0.714844f, 0.148438f, 0.242188f}, - {0.082031f, 0.464844f, 0.933594f, 0.750000f}, {0.742188f, 0.632812f, 0.640625f, 0.667969f}, - {0.183594f, 0.230469f, 0.386719f, 0.953125f}, {0.484375f, 0.687500f, 0.917969f, 0.445312f}, - {0.007812f, 0.187500f, 0.226562f, 0.308594f}, {0.804688f, 0.570312f, 0.417969f, 0.914062f}, - {0.195312f, 0.304688f, 0.671875f, 0.253906f}, {0.878906f, 0.902344f, 0.351562f, 0.960938f}, - {0.078125f, 0.082031f, 0.042969f, 0.710938f}, {0.460938f, 0.449219f, 0.988281f, 0.292969f}, - {0.300781f, 0.320312f, 0.781250f, 0.058594f}, {0.593750f, 0.023438f, 0.171875f, 0.949219f}, - {0.796875f, 0.500000f, 0.539062f, 0.207031f}, {0.339844f, 0.839844f, 0.218750f, 0.503906f}, - {0.132812f, 0.289062f, 0.417969f, 0.070312f}, {0.675781f, 0.218750f, 0.269531f, 0.871094f}, - {0.042969f, 0.378906f, 0.996094f, 0.035156f}, {0.230469f, 0.816406f, 0.515625f, 0.472656f}, - {0.453125f, 0.964844f, 0.375000f, 0.332031f}, {0.746094f, 0.664062f, 0.792969f, 0.214844f}, - {0.058594f, 0.351562f, 0.457031f, 0.000000f}, {0.968750f, 0.882812f, 0.343750f, 0.718750f}, - {0.160156f, 0.140625f, 0.765625f, 0.878906f}, {0.238281f, 0.207031f, 0.675781f, 0.789062f}, - {0.070312f, 0.535156f, 0.945312f, 0.335938f}, {0.894531f, 0.917969f, 0.277344f, 0.179688f}, - {0.296875f, 0.332031f, 0.535156f, 0.597656f}, {0.988281f, 0.167969f, 0.359375f, 0.398438f}, - {0.718750f, 0.015625f, 0.671875f, 0.257812f}, {0.472656f, 0.414062f, 0.960938f, 0.554688f}, - {0.890625f, 0.996094f, 0.460938f, 0.109375f}, {0.964844f, 0.789062f, 0.199219f, 0.996094f}, - {0.667969f, 0.875000f, 0.089844f, 0.585938f}, {0.804688f, 0.183594f, 0.859375f, 0.703125f}, - {0.546875f, 0.312500f, 0.261719f, 0.089844f}, {0.050781f, 0.769531f, 0.046875f, 0.273438f}, - {0.187500f, 0.253906f, 0.843750f, 0.894531f}, {0.441406f, 0.367188f, 0.644531f, 0.230469f}, - {0.742188f, 0.171875f, 0.105469f, 0.097656f}, {0.824219f, 0.890625f, 0.535156f, 0.984375f}, - {0.144531f, 0.015625f, 0.394531f, 0.656250f}, {0.296875f, 0.316406f, 0.058594f, 0.402344f}, - {0.019531f, 0.144531f, 0.210938f, 0.691406f}, {0.753906f, 0.621094f, 0.730469f, 0.929688f}, - {0.250000f, 0.703125f, 0.492188f, 0.191406f}, {0.054688f, 0.292969f, 0.152344f, 0.414062f}, - {0.410156f, 0.492188f, 0.445312f, 0.777344f}, {0.796875f, 0.339844f, 0.871094f, 0.855469f}, - {0.902344f, 0.085938f, 0.250000f, 0.632812f}, {0.531250f, 0.906250f, 0.324219f, 0.394531f}, - {0.250000f, 0.132812f, 0.839844f, 0.976562f}, {0.917969f, 0.375000f, 0.160156f, 0.523438f}, - {0.859375f, 0.792969f, 0.601562f, 0.160156f}, {0.335938f, 0.453125f, 0.714844f, 0.425781f}, - {0.523438f, 0.152344f, 0.464844f, 0.949219f}, {0.957031f, 0.625000f, 0.000000f, 0.863281f}, - {0.800781f, 0.089844f, 0.531250f, 0.257812f}, {0.000000f, 0.863281f, 0.316406f, 0.511719f}, - {0.308594f, 0.285156f, 0.679688f, 0.906250f}, {0.824219f, 0.132812f, 0.472656f, 0.230469f}, - {0.535156f, 0.917969f, 0.265625f, 0.656250f}, {0.683594f, 0.503906f, 0.429688f, 0.960938f}, - {0.363281f, 0.609375f, 0.515625f, 0.171875f}, {0.445312f, 0.289062f, 0.683594f, 0.917969f}, - {0.964844f, 0.808594f, 0.238281f, 0.617188f}, {0.277344f, 0.085938f, 0.042969f, 0.062500f}, - {0.394531f, 0.511719f, 0.839844f, 0.203125f}, {0.636719f, 0.753906f, 0.585938f, 0.843750f}, - {0.343750f, 0.417969f, 0.289062f, 0.761719f}, {0.746094f, 0.933594f, 0.011719f, 0.171875f}, - {0.566406f, 0.472656f, 0.816406f, 0.066406f}, {0.398438f, 0.671875f, 0.550781f, 0.566406f}, - {0.675781f, 0.855469f, 0.750000f, 0.351562f}, {0.832031f, 0.546875f, 0.488281f, 0.179688f}, - {0.222656f, 0.992188f, 0.285156f, 0.449219f}, {0.531250f, 0.792969f, 0.117188f, 0.839844f}, - {0.003906f, 0.382812f, 0.875000f, 0.320312f}, {0.718750f, 0.722656f, 0.625000f, 0.718750f}, - {0.925781f, 0.574219f, 0.843750f, 0.636719f}, {0.382812f, 0.878906f, 0.070312f, 0.238281f}, - {0.621094f, 0.015625f, 0.707031f, 0.398438f}, {0.988281f, 0.738281f, 0.195312f, 0.925781f}, - {0.796875f, 0.125000f, 0.039062f, 0.667969f}, {0.136719f, 0.179688f, 0.953125f, 0.796875f}, - {0.632812f, 0.542969f, 0.648438f, 0.382812f}, {0.496094f, 0.804688f, 0.253906f, 0.550781f}, - {0.433594f, 0.449219f, 0.894531f, 0.457031f}, {0.730469f, 0.988281f, 0.203125f, 0.675781f}, - {0.800781f, 0.273438f, 0.484375f, 0.222656f}, {0.136719f, 0.710938f, 0.414062f, 0.074219f}, - {0.617188f, 0.597656f, 0.789062f, 0.472656f}, {0.417969f, 0.851562f, 0.843750f, 0.800781f}, - {0.027344f, 0.242188f, 0.031250f, 0.695312f}, {0.566406f, 0.699219f, 0.398438f, 0.898438f}, - {0.089844f, 0.195312f, 0.593750f, 0.187500f}, {0.617188f, 0.531250f, 0.792969f, 0.382812f}, - {0.199219f, 0.445312f, 0.351562f, 0.769531f}, {0.289062f, 0.074219f, 0.675781f, 0.035156f}, - {0.492188f, 0.632812f, 0.730469f, 0.535156f}, {0.699219f, 0.976562f, 0.382812f, 0.800781f}, - {0.875000f, 0.464844f, 0.308594f, 0.640625f}, {0.121094f, 0.800781f, 0.171875f, 0.437500f}, - {0.257812f, 0.078125f, 0.925781f, 0.714844f}, {0.523438f, 0.550781f, 0.718750f, 0.507812f}, - {0.625000f, 0.992188f, 0.996094f, 0.171875f}, {0.968750f, 0.238281f, 0.781250f, 0.246094f}, - {0.191406f, 0.453125f, 0.433594f, 0.468750f}, {0.441406f, 0.839844f, 0.269531f, 0.812500f}, - {0.855469f, 0.203125f, 0.941406f, 0.621094f}, {0.652344f, 0.890625f, 0.347656f, 0.113281f}, - {0.972656f, 0.007812f, 0.687500f, 0.480469f}, {0.156250f, 0.679688f, 0.585938f, 0.683594f}, - {0.015625f, 0.617188f, 0.519531f, 0.078125f}, {0.761719f, 0.437500f, 0.945312f, 0.453125f}, - {0.371094f, 0.261719f, 0.078125f, 0.320312f}, {0.585938f, 0.652344f, 0.757812f, 0.054688f}, - {0.031250f, 0.207031f, 0.972656f, 0.609375f}, {0.644531f, 0.585938f, 0.375000f, 0.292969f}, - {0.210938f, 0.894531f, 0.242188f, 0.769531f}, {0.269531f, 0.246094f, 0.902344f, 0.574219f}, - {0.882812f, 0.390625f, 0.957031f, 0.355469f}, {0.570312f, 0.457031f, 0.769531f, 0.062500f}, - {0.726562f, 0.953125f, 0.214844f, 0.406250f}, {0.988281f, 0.347656f, 0.136719f, 0.742188f}, - {0.066406f, 0.785156f, 0.972656f, 0.035156f}, {0.156250f, 0.425781f, 0.726562f, 0.375000f}, - {0.207031f, 0.015625f, 0.015625f, 0.589844f}, {0.710938f, 0.898438f, 0.894531f, 0.480469f}, - {0.031250f, 0.160156f, 0.562500f, 0.792969f}, {0.546875f, 0.980469f, 0.480469f, 0.273438f}, - {0.863281f, 0.859375f, 0.738281f, 0.535156f}, {0.101562f, 0.355469f, 0.171875f, 0.371094f}, - {0.910156f, 0.054688f, 0.523438f, 0.011719f}, {0.296875f, 0.808594f, 0.894531f, 0.640625f}, - {0.937500f, 0.257812f, 0.457031f, 0.414062f}, {0.125000f, 0.113281f, 0.152344f, 0.804688f}, - {0.507812f, 0.363281f, 0.617188f, 0.882812f}, {0.957031f, 0.195312f, 0.394531f, 0.656250f}, - {0.054688f, 0.695312f, 0.906250f, 0.750000f}, {0.902344f, 0.070312f, 0.703125f, 0.582031f}, - {0.421875f, 0.929688f, 0.031250f, 0.140625f}, {0.187500f, 0.167969f, 0.671875f, 0.433594f}, - {0.476562f, 0.101562f, 0.363281f, 0.980469f}, {0.281250f, 0.683594f, 0.570312f, 0.765625f}, - {0.847656f, 0.437500f, 0.472656f, 0.167969f}, {0.078125f, 0.628906f, 0.832031f, 0.605469f}, - {0.570312f, 0.328125f, 0.593750f, 0.101562f}, {0.261719f, 0.765625f, 0.738281f, 0.503906f}, - {0.906250f, 0.242188f, 0.164062f, 0.960938f}, {0.324219f, 0.007812f, 0.824219f, 0.164062f}, - {0.593750f, 0.683594f, 0.570312f, 0.089844f}, {0.921875f, 0.617188f, 0.105469f, 0.296875f}, - {0.527344f, 0.050781f, 0.632812f, 0.851562f}, {0.359375f, 0.375000f, 0.910156f, 0.726562f}, - {0.835938f, 0.128906f, 0.070312f, 0.937500f}, {0.664062f, 0.515625f, 0.226562f, 0.027344f}, - {0.226562f, 0.890625f, 0.500000f, 0.300781f}, {0.851562f, 0.574219f, 0.757812f, 0.648438f}, - {0.316406f, 0.753906f, 0.257812f, 0.058594f}, {0.429688f, 0.277344f, 0.937500f, 0.507812f}, - {0.007812f, 0.031250f, 0.019531f, 0.878906f}, {0.933594f, 0.714844f, 0.550781f, 0.308594f}, - {0.835938f, 0.847656f, 0.136719f, 0.164062f}, {0.234375f, 0.546875f, 0.617188f, 0.968750f}, - {0.394531f, 0.132812f, 0.902344f, 0.355469f}, {0.980469f, 0.679688f, 0.566406f, 0.019531f}, - {0.671875f, 0.839844f, 0.468750f, 0.585938f}, {0.046875f, 0.417969f, 0.250000f, 0.378906f}, - {0.375000f, 0.597656f, 0.023438f, 0.898438f}, {0.695312f, 0.789062f, 0.625000f, 0.753906f}, - {0.898438f, 0.375000f, 0.875000f, 0.007812f}, {0.328125f, 0.542969f, 0.113281f, 0.531250f}, - {0.578125f, 0.109375f, 0.542969f, 0.300781f}, {0.085938f, 0.406250f, 0.765625f, 0.988281f}, - {0.285156f, 0.566406f, 0.062500f, 0.339844f}, {0.472656f, 0.777344f, 0.128906f, 0.164062f}, - {0.636719f, 0.363281f, 0.628906f, 0.750000f}, {0.832031f, 0.035156f, 0.394531f, 0.835938f}, - {0.109375f, 0.972656f, 0.667969f, 0.195312f}, {0.183594f, 0.710938f, 0.222656f, 0.890625f}, - {0.808594f, 0.066406f, 0.046875f, 0.707031f}, {0.460938f, 0.953125f, 0.855469f, 0.476562f}, - {0.082031f, 0.335938f, 0.652344f, 0.203125f}, {0.667969f, 0.738281f, 0.093750f, 0.121094f}, - {0.425781f, 0.664062f, 0.417969f, 0.683594f}, {0.164062f, 0.007812f, 0.613281f, 0.964844f}, - {0.632812f, 0.703125f, 0.042969f, 0.617188f}, {0.250000f, 0.554688f, 0.804688f, 0.464844f}, - {0.394531f, 0.242188f, 0.371094f, 0.878906f}, {0.937500f, 0.847656f, 0.601562f, 0.816406f}, - {0.804688f, 0.679688f, 0.195312f, 0.113281f}, {0.601562f, 0.378906f, 0.335938f, 0.320312f}, - {0.339844f, 0.562500f, 0.812500f, 0.867188f}, {0.785156f, 0.437500f, 0.125000f, 0.140625f}, - {0.230469f, 0.273438f, 0.355469f, 0.980469f}, {0.687500f, 0.656250f, 0.957031f, 0.468750f}, - {0.156250f, 0.148438f, 0.082031f, 0.726562f}, {0.464844f, 0.535156f, 0.703125f, 0.898438f}, - {0.039062f, 0.722656f, 0.324219f, 0.285156f}, {0.250000f, 0.945312f, 0.945312f, 0.117188f}, - {0.777344f, 0.589844f, 0.093750f, 0.484375f}, {0.328125f, 0.285156f, 0.222656f, 0.023438f}, - {0.609375f, 0.421875f, 0.828125f, 0.390625f}, {0.746094f, 0.617188f, 0.335938f, 0.929688f}, - {0.261719f, 0.238281f, 0.449219f, 0.265625f}, {0.863281f, 0.472656f, 0.953125f, 0.031250f}, - {0.105469f, 0.316406f, 0.292969f, 0.355469f}, {0.765625f, 0.976562f, 0.152344f, 0.531250f}, - {0.523438f, 0.195312f, 0.933594f, 0.828125f}, {0.343750f, 0.554688f, 0.242188f, 0.304688f}, - {0.414062f, 0.890625f, 0.414062f, 0.742188f}, {0.695312f, 0.496094f, 0.085938f, 0.250000f}, - {0.824219f, 0.933594f, 0.316406f, 0.832031f}, {0.109375f, 0.386719f, 0.433594f, 0.347656f}, - {0.199219f, 0.304688f, 0.000000f, 0.632812f}, {0.023438f, 0.843750f, 0.378906f, 0.988281f}, - {0.679688f, 0.480469f, 0.746094f, 0.429688f}, {0.265625f, 0.769531f, 0.312500f, 0.574219f}, - {0.058594f, 0.941406f, 0.593750f, 0.359375f}, {0.507812f, 0.074219f, 0.992188f, 0.527344f}, - {0.160156f, 0.308594f, 0.167969f, 0.214844f}, {0.945312f, 0.382812f, 0.644531f, 0.964844f}, - {0.789062f, 0.105469f, 0.117188f, 0.441406f}, {0.523438f, 0.613281f, 0.875000f, 0.812500f}, - {0.722656f, 0.953125f, 0.492188f, 0.226562f}, {0.371094f, 0.347656f, 0.226562f, 0.617188f}, - {0.101562f, 0.214844f, 0.984375f, 0.464844f}, {0.628906f, 0.406250f, 0.433594f, 0.742188f}, - {0.777344f, 0.011719f, 0.035156f, 0.199219f}, {0.480469f, 0.277344f, 0.753906f, 0.855469f}, - {0.339844f, 0.332031f, 0.347656f, 0.281250f}, {0.093750f, 0.207031f, 0.671875f, 0.792969f}, - {0.808594f, 0.699219f, 0.156250f, 0.121094f}, {0.226562f, 0.097656f, 0.507812f, 0.335938f}, - {0.476562f, 0.941406f, 0.367188f, 0.945312f}, {0.109375f, 0.660156f, 0.187500f, 0.210938f}, - {0.800781f, 0.750000f, 0.609375f, 0.066406f}, {0.382812f, 0.984375f, 0.824219f, 0.714844f}, - {0.738281f, 0.242188f, 0.296875f, 0.554688f}, {0.222656f, 0.832031f, 0.917969f, 0.906250f}, - {0.320312f, 0.929688f, 0.464844f, 0.503906f}, {0.980469f, 0.519531f, 0.175781f, 0.277344f}, - {0.500000f, 0.312500f, 0.808594f, 0.664062f}, {0.285156f, 0.816406f, 0.562500f, 0.789062f}, - {0.929688f, 0.542969f, 0.437500f, 0.382812f}, {0.542969f, 0.414062f, 0.507812f, 0.023438f}, - {0.777344f, 0.847656f, 0.308594f, 0.843750f}, {0.976562f, 0.121094f, 0.738281f, 0.527344f}, - {0.042969f, 0.511719f, 0.164062f, 0.316406f}, {0.507812f, 0.812500f, 0.492188f, 0.824219f}, - {0.339844f, 0.183594f, 0.875000f, 0.089844f}, {0.773438f, 0.074219f, 0.546875f, 0.281250f}, - {0.460938f, 0.640625f, 0.929688f, 0.195312f}, {0.558594f, 0.121094f, 0.105469f, 0.695312f}, - {0.285156f, 0.316406f, 0.781250f, 0.523438f}, {0.875000f, 0.769531f, 0.414062f, 0.019531f}, - {0.121094f, 0.222656f, 0.984375f, 0.710938f}, {0.488281f, 0.710938f, 0.269531f, 0.398438f}, - {0.992188f, 0.031250f, 0.625000f, 0.656250f}, {0.421875f, 0.597656f, 0.437500f, 0.101562f}, - {0.593750f, 0.890625f, 0.777344f, 0.226562f}, {0.839844f, 0.214844f, 0.601562f, 0.589844f}, - {0.718750f, 0.402344f, 0.253906f, 0.523438f}, {0.644531f, 0.019531f, 0.855469f, 0.687500f}, - {0.433594f, 0.820312f, 0.667969f, 0.992188f}, {0.167969f, 0.746094f, 0.050781f, 0.238281f}, - {0.109375f, 0.128906f, 0.582031f, 0.105469f}, {0.363281f, 0.847656f, 0.527344f, 0.527344f}, - {0.687500f, 0.531250f, 0.191406f, 0.804688f}, {0.562500f, 0.777344f, 0.101562f, 0.683594f}, - {0.636719f, 0.597656f, 0.796875f, 0.890625f}, {0.953125f, 0.402344f, 0.726562f, 0.113281f}, - {0.164062f, 0.832031f, 0.011719f, 0.453125f}, {0.734375f, 0.265625f, 0.343750f, 0.019531f}, - {0.210938f, 0.046875f, 0.675781f, 0.941406f}, {0.003906f, 0.089844f, 0.910156f, 0.421875f}, - {0.535156f, 0.703125f, 0.523438f, 0.058594f}, {0.382812f, 0.578125f, 0.980469f, 0.582031f}, - {0.984375f, 0.113281f, 0.699219f, 0.761719f}, {0.304688f, 0.906250f, 0.851562f, 0.023438f}, - {0.859375f, 0.167969f, 0.250000f, 0.261719f}, {0.453125f, 0.230469f, 0.144531f, 0.113281f}, - {0.960938f, 0.429688f, 0.453125f, 0.828125f}, {0.757812f, 0.628906f, 0.695312f, 0.156250f}, - {0.375000f, 0.792969f, 0.343750f, 0.757812f}, {0.691406f, 0.476562f, 0.558594f, 0.593750f}, - {0.250000f, 0.906250f, 0.300781f, 0.332031f}, {0.140625f, 0.152344f, 0.707031f, 0.136719f}, - {0.871094f, 0.824219f, 0.394531f, 0.667969f}, {0.582031f, 0.496094f, 0.828125f, 0.941406f}, - {0.453125f, 0.589844f, 0.769531f, 0.394531f}, {0.167969f, 0.910156f, 0.285156f, 0.058594f}, - {0.027344f, 0.750000f, 0.195312f, 0.675781f}, {0.570312f, 0.949219f, 0.867188f, 0.515625f}, - {0.843750f, 0.519531f, 0.078125f, 0.933594f}, {0.937500f, 0.878906f, 0.835938f, 0.070312f}, - {0.539062f, 0.039062f, 0.292969f, 0.625000f}, {0.761719f, 0.492188f, 0.796875f, 0.558594f}, - {0.597656f, 0.285156f, 0.703125f, 0.828125f}, {0.160156f, 0.171875f, 0.957031f, 0.656250f}, - {0.671875f, 0.058594f, 0.035156f, 0.433594f}, {0.503906f, 0.324219f, 0.417969f, 0.863281f}, - {0.925781f, 0.453125f, 0.230469f, 0.250000f}, {0.566406f, 0.136719f, 0.742188f, 0.031250f}, - {0.066406f, 0.195312f, 0.097656f, 0.968750f}, {0.417969f, 0.753906f, 0.988281f, 0.097656f}, - {0.675781f, 0.113281f, 0.273438f, 0.546875f}, {0.726562f, 0.468750f, 0.339844f, 0.136719f}, - {0.394531f, 0.171875f, 0.914062f, 0.253906f}, {0.144531f, 0.277344f, 0.128906f, 0.996094f}, - {0.316406f, 0.039062f, 0.578125f, 0.644531f}, {0.714844f, 0.574219f, 0.820312f, 0.910156f}, - {0.378906f, 0.222656f, 0.269531f, 0.437500f}, {0.906250f, 0.984375f, 0.707031f, 0.175781f}, - {0.113281f, 0.371094f, 0.339844f, 0.765625f}, {0.851562f, 0.882812f, 0.242188f, 0.570312f}, - {0.015625f, 0.472656f, 0.453125f, 0.343750f}, {0.664062f, 0.972656f, 0.292969f, 0.984375f}, - {0.097656f, 0.523438f, 0.660156f, 0.421875f}, {0.429688f, 0.058594f, 0.527344f, 0.234375f}, - {0.187500f, 0.933594f, 0.070312f, 0.925781f}, {0.628906f, 0.132812f, 0.679688f, 0.558594f}, - {0.753906f, 0.796875f, 0.203125f, 0.773438f}, {0.070312f, 0.484375f, 0.847656f, 0.328125f}, - {0.355469f, 0.964844f, 0.035156f, 0.855469f}, {0.527344f, 0.335938f, 0.390625f, 0.933594f}, - {0.210938f, 0.625000f, 0.191406f, 0.367188f}, {0.976562f, 0.460938f, 0.507812f, 0.191406f}, - {0.582031f, 0.171875f, 0.425781f, 0.765625f}, {0.882812f, 0.507812f, 0.761719f, 0.332031f}, - {0.812500f, 0.914062f, 0.265625f, 0.636719f}, {0.496094f, 0.050781f, 0.976562f, 0.875000f}, - {0.980469f, 0.355469f, 0.738281f, 0.187500f}, {0.031250f, 0.898438f, 0.605469f, 0.476562f}, - {0.320312f, 0.027344f, 0.410156f, 0.597656f}, {0.441406f, 0.734375f, 0.507812f, 0.218750f}, - {0.066406f, 0.140625f, 0.894531f, 0.714844f}, {0.894531f, 0.468750f, 0.550781f, 0.562500f}, - {0.652344f, 0.789062f, 0.785156f, 0.648438f}, {0.863281f, 0.972656f, 0.132812f, 0.191406f}, - {0.457031f, 0.425781f, 0.277344f, 0.894531f}, {0.738281f, 0.203125f, 0.605469f, 0.683594f}, - {0.640625f, 0.808594f, 0.480469f, 0.472656f}, {0.777344f, 0.515625f, 0.183594f, 0.199219f}, - {0.125000f, 0.339844f, 0.953125f, 0.921875f}, {0.570312f, 0.671875f, 0.539062f, 0.500000f}, - {0.210938f, 0.730469f, 0.781250f, 0.671875f}, {0.097656f, 0.019531f, 0.019531f, 0.890625f}, - {0.597656f, 0.968750f, 0.835938f, 0.406250f}, {0.468750f, 0.191406f, 0.914062f, 0.082031f}, - {0.042969f, 0.667969f, 0.445312f, 0.847656f}, {0.648438f, 0.421875f, 0.050781f, 0.722656f}, - {0.335938f, 0.773438f, 0.179688f, 0.000000f}, {0.992188f, 0.300781f, 0.636719f, 0.257812f}, - {0.273438f, 0.066406f, 0.093750f, 0.562500f}, {0.750000f, 0.171875f, 0.476562f, 0.902344f}, - {0.902344f, 0.660156f, 0.691406f, 0.320312f}, {0.300781f, 0.445312f, 0.527344f, 0.144531f}, - {0.195312f, 0.621094f, 0.406250f, 0.457031f}, {0.429688f, 0.152344f, 0.968750f, 0.707031f}, - {0.273438f, 0.734375f, 0.453125f, 0.414062f}, {0.003906f, 0.914062f, 0.578125f, 0.265625f}, - {0.410156f, 0.355469f, 0.093750f, 0.484375f}, {0.996094f, 0.847656f, 0.316406f, 0.148438f}, - {0.839844f, 0.605469f, 0.484375f, 0.359375f}, {0.031250f, 0.511719f, 0.898438f, 0.773438f}, - {0.187500f, 0.726562f, 0.679688f, 0.589844f}, {0.867188f, 0.644531f, 0.355469f, 0.390625f}, - {0.136719f, 0.878906f, 0.843750f, 0.640625f}, {0.597656f, 0.589844f, 0.597656f, 0.441406f}, - {0.222656f, 0.394531f, 0.714844f, 0.355469f}, {0.003906f, 0.863281f, 0.031250f, 0.925781f}, - {0.871094f, 0.691406f, 0.761719f, 0.597656f}, {0.621094f, 0.628906f, 0.195312f, 0.414062f}, - {0.230469f, 0.769531f, 0.941406f, 0.074219f}, {0.582031f, 0.929688f, 0.023438f, 0.230469f}, - {0.812500f, 0.433594f, 0.398438f, 0.722656f}, {0.195312f, 0.304688f, 0.996094f, 0.000000f}, - {0.679688f, 0.761719f, 0.089844f, 0.496094f}, {0.593750f, 0.605469f, 0.636719f, 0.925781f}, - {0.222656f, 0.277344f, 0.750000f, 0.136719f}, {0.902344f, 0.730469f, 0.164062f, 0.644531f}, - {0.515625f, 0.191406f, 0.863281f, 0.785156f}, {0.722656f, 0.585938f, 0.031250f, 0.601562f}, - {0.949219f, 0.457031f, 0.921875f, 0.183594f}, {0.312500f, 0.851562f, 0.468750f, 0.066406f}, - {0.003906f, 0.390625f, 0.750000f, 0.257812f}, {0.265625f, 0.304688f, 0.308594f, 0.496094f}, - {0.808594f, 0.097656f, 0.542969f, 0.035156f}, {0.894531f, 0.761719f, 0.136719f, 0.152344f}, - {0.089844f, 0.691406f, 0.992188f, 0.445312f}, {0.382812f, 0.070312f, 0.792969f, 0.070312f}, - {0.011719f, 0.984375f, 0.355469f, 0.843750f}, {0.281250f, 0.308594f, 0.910156f, 0.593750f}, - {0.660156f, 0.648438f, 0.152344f, 0.429688f}, {0.210938f, 0.210938f, 0.468750f, 0.722656f}, - {0.406250f, 0.703125f, 0.019531f, 0.304688f}, {0.148438f, 0.273438f, 0.882812f, 0.078125f}, - {0.832031f, 0.089844f, 0.250000f, 0.968750f}, {0.242188f, 0.863281f, 0.652344f, 0.335938f}, - {0.601562f, 0.371094f, 0.199219f, 0.847656f}, {0.484375f, 0.679688f, 0.062500f, 0.277344f}, - {0.289062f, 0.617188f, 0.453125f, 0.378906f}, {0.941406f, 0.343750f, 0.863281f, 0.515625f}, - {0.152344f, 0.281250f, 0.218750f, 0.128906f}, {0.238281f, 0.746094f, 0.039062f, 0.316406f}, - {0.046875f, 0.636719f, 0.792969f, 0.871094f}, {0.496094f, 0.031250f, 0.351562f, 0.390625f}, - {0.406250f, 0.980469f, 0.660156f, 0.789062f}, {0.707031f, 0.558594f, 0.054688f, 0.609375f}, - {0.886719f, 0.859375f, 0.890625f, 0.320312f}, {0.312500f, 0.132812f, 0.394531f, 0.039062f}, - {0.816406f, 0.265625f, 0.250000f, 0.242188f}, {0.906250f, 0.355469f, 0.097656f, 0.488281f}, - {0.410156f, 0.539062f, 0.746094f, 0.921875f}, {0.769531f, 0.093750f, 0.972656f, 0.539062f}, - {0.203125f, 0.246094f, 0.527344f, 0.425781f}, {0.070312f, 0.695312f, 0.324219f, 0.800781f}, - {0.820312f, 0.878906f, 0.906250f, 0.117188f}, {0.515625f, 0.375000f, 0.574219f, 0.761719f}, - {0.660156f, 0.238281f, 0.941406f, 0.605469f}, {0.113281f, 0.105469f, 0.132812f, 0.835938f}, - {0.710938f, 0.820312f, 0.652344f, 0.238281f}, {0.621094f, 0.394531f, 0.214844f, 0.992188f}, - {0.136719f, 0.253906f, 0.011719f, 0.187500f}, {0.921875f, 0.578125f, 0.902344f, 0.046875f}, - {0.730469f, 0.441406f, 0.246094f, 0.886719f}, {0.300781f, 0.800781f, 0.847656f, 0.957031f}, - {0.238281f, 0.222656f, 0.648438f, 0.687500f}, {0.355469f, 0.894531f, 0.136719f, 0.109375f}, - {0.707031f, 0.027344f, 0.554688f, 0.199219f}, {0.453125f, 0.285156f, 0.003906f, 0.800781f}, - {0.953125f, 0.074219f, 0.511719f, 0.156250f}, {0.750000f, 0.671875f, 0.152344f, 0.863281f}, - {0.824219f, 0.238281f, 0.402344f, 0.699219f}, {0.339844f, 0.003906f, 0.492188f, 0.042969f}, - {0.964844f, 0.980469f, 0.867188f, 0.753906f}, {0.101562f, 0.367188f, 0.617188f, 0.511719f}, - {0.492188f, 0.488281f, 0.363281f, 0.300781f}, {0.062500f, 0.156250f, 0.667969f, 0.800781f}, - {0.277344f, 0.652344f, 0.550781f, 0.355469f}, {0.441406f, 0.062500f, 0.847656f, 0.601562f}, - {0.953125f, 0.535156f, 0.199219f, 0.847656f}, {0.316406f, 0.140625f, 0.011719f, 0.250000f}, - {0.757812f, 0.019531f, 0.910156f, 0.390625f}, {0.359375f, 0.390625f, 0.570312f, 0.042969f}, - {0.054688f, 0.902344f, 0.386719f, 0.863281f}, {0.824219f, 0.339844f, 0.714844f, 0.304688f}, - {0.390625f, 0.632812f, 0.242188f, 0.457031f}, {0.562500f, 0.238281f, 0.589844f, 0.734375f}, - {0.921875f, 0.683594f, 0.097656f, 0.953125f}, {0.507812f, 0.550781f, 0.949219f, 0.816406f}, - {0.671875f, 0.191406f, 0.878906f, 0.617188f}, {0.175781f, 0.835938f, 0.644531f, 0.703125f}, - {0.316406f, 0.273438f, 0.718750f, 0.789062f}, {0.757812f, 0.871094f, 0.000000f, 0.550781f}, - {0.546875f, 0.566406f, 0.113281f, 0.265625f}, {0.472656f, 0.382812f, 0.621094f, 0.941406f}, - {0.925781f, 0.796875f, 0.699219f, 0.156250f}, {0.058594f, 0.437500f, 0.386719f, 0.050781f}, - {0.777344f, 0.945312f, 0.308594f, 0.781250f}, {0.535156f, 0.496094f, 0.820312f, 0.394531f}, - {0.906250f, 0.644531f, 0.125000f, 0.656250f}, {0.703125f, 0.542969f, 0.371094f, 0.144531f}, - {0.804688f, 0.226562f, 0.988281f, 0.914062f}, {0.378906f, 0.906250f, 0.300781f, 0.046875f}, - {0.035156f, 0.175781f, 0.753906f, 0.785156f}, {0.570312f, 0.566406f, 0.628906f, 0.976562f}, - {0.343750f, 0.125000f, 0.390625f, 0.730469f}, {0.804688f, 0.878906f, 0.722656f, 0.238281f}, - {0.605469f, 0.453125f, 0.921875f, 0.539062f}, {0.953125f, 0.257812f, 0.089844f, 0.093750f}, - {0.179688f, 0.085938f, 0.429688f, 0.714844f}, {0.347656f, 0.402344f, 0.281250f, 0.167969f}, - {0.628906f, 0.300781f, 0.613281f, 0.449219f}, {0.007812f, 0.503906f, 0.507812f, 0.984375f}, - {0.539062f, 0.601562f, 0.187500f, 0.710938f}, {0.281250f, 0.835938f, 0.660156f, 0.632812f}, - {0.113281f, 0.738281f, 0.363281f, 0.285156f}, {0.953125f, 0.933594f, 0.593750f, 0.191406f}, - {0.554688f, 0.007812f, 0.238281f, 0.355469f}, {0.683594f, 0.625000f, 0.800781f, 0.980469f}, - {0.417969f, 0.472656f, 0.000000f, 0.500000f}, {0.222656f, 0.984375f, 0.371094f, 0.218750f}, - {0.382812f, 0.777344f, 0.253906f, 0.070312f}, {0.972656f, 0.566406f, 0.808594f, 0.378906f}, - {0.472656f, 0.308594f, 0.316406f, 0.542969f}, {0.789062f, 0.058594f, 0.609375f, 0.781250f}, - {0.855469f, 0.972656f, 0.726562f, 0.648438f}, {0.359375f, 0.652344f, 0.519531f, 0.746094f}, - {0.511719f, 0.000000f, 0.425781f, 0.582031f}, {0.074219f, 0.125000f, 0.750000f, 0.296875f}, - {0.625000f, 0.683594f, 0.382812f, 0.027344f}, {0.546875f, 0.960938f, 0.199219f, 0.523438f}, - {0.792969f, 0.414062f, 0.964844f, 0.917969f}, {0.269531f, 0.488281f, 0.773438f, 0.308594f}, - {0.375000f, 0.332031f, 0.312500f, 0.007812f}, {0.519531f, 0.941406f, 0.894531f, 0.570312f}, - {0.175781f, 0.777344f, 0.226562f, 0.210938f}, {0.558594f, 0.558594f, 0.687500f, 0.324219f}, - {0.449219f, 0.316406f, 0.078125f, 0.828125f}, {0.656250f, 0.101562f, 0.449219f, 0.164062f}, - {0.839844f, 0.832031f, 0.250000f, 0.683594f}, {0.914062f, 0.253906f, 0.777344f, 0.554688f}, - {0.738281f, 0.906250f, 0.144531f, 0.125000f}, {0.550781f, 0.714844f, 0.472656f, 0.945312f}, - {0.039062f, 0.863281f, 0.695312f, 0.660156f}, {0.140625f, 0.445312f, 0.421875f, 0.453125f}, - {0.476562f, 0.832031f, 0.796875f, 0.738281f}, {0.980469f, 0.679688f, 0.496094f, 0.101562f}, - {0.269531f, 0.792969f, 0.121094f, 0.500000f}, {0.160156f, 0.101562f, 0.324219f, 0.152344f}, - {0.656250f, 0.960938f, 0.820312f, 0.894531f}, {0.226562f, 0.000000f, 0.406250f, 0.640625f}, - {0.851562f, 0.742188f, 0.156250f, 0.343750f}, {0.136719f, 0.917969f, 0.359375f, 0.425781f}, - {0.414062f, 0.054688f, 0.492188f, 0.210938f}, {0.613281f, 0.441406f, 0.257812f, 0.300781f}, - {0.941406f, 0.511719f, 0.449219f, 0.972656f}, {0.699219f, 0.128906f, 0.570312f, 0.652344f}, - {0.847656f, 0.226562f, 0.281250f, 0.003906f}, {0.128906f, 0.734375f, 0.871094f, 0.375000f}, - {0.339844f, 0.007812f, 0.535156f, 0.507812f}, {0.726562f, 0.117188f, 0.074219f, 0.894531f}, - {0.257812f, 0.582031f, 0.933594f, 0.570312f}, {0.593750f, 0.171875f, 0.566406f, 0.250000f}, - {0.351562f, 0.410156f, 0.484375f, 0.488281f}, {0.117188f, 0.996094f, 0.703125f, 0.761719f}, - {0.191406f, 0.308594f, 0.843750f, 0.425781f}, {0.992188f, 0.003906f, 0.578125f, 0.609375f}, - {0.769531f, 0.503906f, 0.164062f, 0.097656f}, {0.105469f, 0.816406f, 0.945312f, 0.460938f}, - {0.699219f, 0.046875f, 0.109375f, 0.824219f}, {0.421875f, 0.957031f, 0.535156f, 0.007812f}, - {0.898438f, 0.359375f, 0.312500f, 0.636719f}, {0.281250f, 0.718750f, 0.582031f, 0.964844f}, - {0.082031f, 0.605469f, 0.863281f, 0.285156f}, {0.847656f, 0.800781f, 0.757812f, 0.070312f}, - {0.445312f, 0.203125f, 0.125000f, 0.820312f}, {0.980469f, 0.902344f, 0.714844f, 0.562500f}, - {0.164062f, 0.691406f, 0.921875f, 0.359375f}, {0.734375f, 0.046875f, 0.812500f, 0.144531f}, - {0.613281f, 0.457031f, 0.480469f, 0.777344f}, {0.359375f, 0.320312f, 0.140625f, 0.089844f}, - {0.488281f, 0.574219f, 0.886719f, 0.863281f}, {0.152344f, 0.855469f, 0.703125f, 0.636719f}, - {0.921875f, 0.136719f, 0.421875f, 0.296875f}, {0.011719f, 0.527344f, 0.167969f, 0.710938f}, - {0.601562f, 0.027344f, 0.742188f, 0.441406f}, {0.328125f, 0.707031f, 0.066406f, 0.882812f}, - {0.050781f, 0.906250f, 0.875000f, 0.015625f}, {0.246094f, 0.500000f, 0.378906f, 0.339844f}, - {0.566406f, 0.769531f, 0.117188f, 0.121094f}, {0.179688f, 0.195312f, 0.175781f, 0.386719f}, - {0.656250f, 0.527344f, 0.988281f, 0.816406f}, {0.882812f, 0.304688f, 0.042969f, 0.449219f}, - {0.425781f, 0.375000f, 0.601562f, 0.242188f}, {0.929688f, 0.562500f, 0.812500f, 0.617188f}, - {0.101562f, 0.164062f, 0.261719f, 0.468750f}, {0.644531f, 0.820312f, 0.441406f, 0.718750f}, - {0.023438f, 0.523438f, 0.632812f, 0.261719f}, {0.898438f, 0.437500f, 0.945312f, 0.953125f}, - {0.066406f, 0.140625f, 0.109375f, 0.492188f}, {0.281250f, 0.882812f, 0.832031f, 0.902344f}, - {0.781250f, 0.207031f, 0.292969f, 0.445312f}, {0.148438f, 0.722656f, 0.976562f, 0.089844f}, - {0.402344f, 0.593750f, 0.523438f, 0.960938f}, {0.351562f, 0.046875f, 0.066406f, 0.871094f}, - {0.175781f, 0.402344f, 0.316406f, 0.402344f}, {0.640625f, 0.339844f, 0.937500f, 0.046875f}, - {0.871094f, 0.199219f, 0.589844f, 0.203125f}, {0.414062f, 0.945312f, 0.355469f, 0.316406f}, - {0.691406f, 0.246094f, 0.277344f, 0.902344f}, {0.539062f, 0.507812f, 0.980469f, 0.566406f}, - {0.609375f, 0.167969f, 0.214844f, 0.679688f}, {0.781250f, 0.429688f, 0.617188f, 0.820312f}, - {0.464844f, 0.285156f, 0.875000f, 0.375000f}, {0.101562f, 0.488281f, 0.511719f, 0.019531f}, - {0.710938f, 0.156250f, 0.691406f, 0.121094f}, {0.363281f, 0.359375f, 0.792969f, 0.578125f}, - {0.792969f, 0.593750f, 0.046875f, 0.906250f}, {0.476562f, 0.972656f, 0.199219f, 0.089844f}, - {0.031250f, 0.667969f, 0.824219f, 0.390625f}, {0.242188f, 0.343750f, 0.933594f, 0.480469f}, - {0.421875f, 0.937500f, 0.339844f, 0.132812f}, {0.191406f, 0.613281f, 0.183594f, 0.750000f}, - {0.617188f, 0.472656f, 0.800781f, 0.675781f}, {0.867188f, 0.855469f, 0.230469f, 0.203125f}, - {0.449219f, 0.328125f, 0.660156f, 0.953125f}, {0.964844f, 0.746094f, 0.769531f, 0.828125f}, - {0.007812f, 0.824219f, 0.179688f, 0.011719f}, {0.503906f, 0.125000f, 0.085938f, 0.531250f}, - {0.421875f, 0.777344f, 0.433594f, 0.199219f}, {0.660156f, 0.710938f, 0.027344f, 0.679688f}, - {0.261719f, 0.941406f, 0.347656f, 0.257812f}, {0.527344f, 0.386719f, 0.492188f, 0.351562f}, - {0.843750f, 0.660156f, 0.671875f, 0.179688f}, {0.195312f, 0.195312f, 0.246094f, 0.578125f}, - {0.062500f, 0.539062f, 0.828125f, 0.429688f}, {0.519531f, 0.847656f, 0.156250f, 0.363281f}, - {0.730469f, 0.156250f, 0.472656f, 0.855469f}, {0.789062f, 0.941406f, 0.210938f, 0.527344f}, - {0.250000f, 0.445312f, 0.960938f, 0.218750f}, {0.671875f, 0.078125f, 0.320312f, 0.753906f}, - {0.500000f, 0.378906f, 0.417969f, 0.015625f}, {0.222656f, 0.988281f, 0.066406f, 0.949219f}, - {0.828125f, 0.164062f, 0.285156f, 0.453125f}, {0.031250f, 0.222656f, 0.761719f, 0.589844f}, - {0.878906f, 0.800781f, 0.042969f, 0.691406f}, {0.308594f, 0.351562f, 0.460938f, 0.027344f}, - {0.789062f, 0.417969f, 0.656250f, 0.160156f}, {0.726562f, 0.285156f, 0.972656f, 0.941406f}, - {0.859375f, 0.207031f, 0.597656f, 0.796875f}, {0.535156f, 0.839844f, 0.496094f, 0.621094f}, - {0.941406f, 0.343750f, 0.445312f, 0.285156f}, {0.097656f, 0.164062f, 0.949219f, 0.914062f}, - {0.687500f, 0.421875f, 0.789062f, 0.492188f}, {0.453125f, 0.871094f, 0.675781f, 0.214844f}, - {0.035156f, 0.710938f, 0.289062f, 0.078125f}, {0.781250f, 0.941406f, 0.542969f, 0.703125f}, - {0.207031f, 0.777344f, 0.101562f, 0.867188f}, {0.152344f, 0.089844f, 0.339844f, 0.984375f}, - {0.480469f, 0.257812f, 0.707031f, 0.371094f}, {0.843750f, 0.722656f, 0.070312f, 0.835938f}, - {0.230469f, 0.199219f, 0.750000f, 0.417969f}, {0.417969f, 0.054688f, 0.542969f, 0.773438f}, - {0.617188f, 0.632812f, 0.375000f, 0.070312f}, {0.710938f, 0.386719f, 0.578125f, 0.613281f}, - {0.921875f, 0.500000f, 0.652344f, 0.281250f}, {0.246094f, 0.921875f, 0.164062f, 0.644531f}, - {0.687500f, 0.445312f, 0.890625f, 0.218750f}, {0.023438f, 0.789062f, 0.718750f, 0.476562f}, - {0.996094f, 0.523438f, 0.820312f, 0.269531f}, {0.507812f, 0.117188f, 0.234375f, 0.710938f}, - {0.253906f, 0.628906f, 0.105469f, 0.531250f}, {0.824219f, 0.574219f, 0.886719f, 0.800781f}, - {0.070312f, 0.316406f, 0.050781f, 0.164062f}, {0.199219f, 0.039062f, 0.664062f, 0.964844f}, - {0.867188f, 0.652344f, 0.769531f, 0.277344f}, {0.023438f, 0.867188f, 0.078125f, 0.222656f}, - {0.335938f, 0.769531f, 0.960938f, 0.535156f}, {0.898438f, 0.535156f, 0.015625f, 0.996094f}, - {0.585938f, 0.890625f, 0.269531f, 0.691406f}, {0.054688f, 0.644531f, 0.925781f, 0.175781f}, - {0.980469f, 0.261719f, 0.585938f, 0.511719f}, {0.285156f, 0.789062f, 0.667969f, 0.742188f}, - {0.113281f, 0.023438f, 0.402344f, 0.859375f}, {0.578125f, 0.417969f, 0.066406f, 0.230469f}, - {0.800781f, 0.816406f, 0.753906f, 0.921875f}, {0.992188f, 0.164062f, 0.492188f, 0.816406f}, - {0.519531f, 0.281250f, 0.414062f, 0.289062f}, {0.085938f, 0.675781f, 0.968750f, 0.449219f}, - {0.167969f, 0.964844f, 0.046875f, 0.347656f}, {0.671875f, 0.035156f, 0.347656f, 0.113281f}, - {0.761719f, 0.257812f, 0.277344f, 0.714844f}, {0.300781f, 0.457031f, 0.925781f, 0.316406f}, - {0.578125f, 0.605469f, 0.617188f, 0.984375f}, {0.875000f, 0.082031f, 0.789062f, 0.851562f}, - {0.156250f, 0.437500f, 0.265625f, 0.558594f}, {0.453125f, 0.253906f, 0.738281f, 0.898438f}, - {0.968750f, 0.761719f, 0.882812f, 0.703125f}, {0.312500f, 0.480469f, 0.406250f, 0.949219f}, - {0.679688f, 0.097656f, 0.031250f, 0.773438f}, {0.589844f, 0.308594f, 0.996094f, 0.125000f}, - {0.375000f, 0.679688f, 0.691406f, 0.675781f}, {0.128906f, 0.000000f, 0.375000f, 0.929688f}, - {0.562500f, 0.753906f, 0.570312f, 0.421875f}, {0.050781f, 0.562500f, 0.003906f, 0.304688f}, - {0.386719f, 0.250000f, 0.531250f, 0.648438f}, {0.937500f, 0.781250f, 0.621094f, 0.843750f}, - {0.437500f, 0.636719f, 0.953125f, 0.515625f}, {0.695312f, 0.515625f, 0.214844f, 0.242188f}, - {0.253906f, 0.949219f, 0.562500f, 0.910156f}, {0.636719f, 0.097656f, 0.296875f, 0.406250f}, - {0.453125f, 0.746094f, 0.109375f, 0.566406f}, {0.121094f, 0.917969f, 0.832031f, 0.480469f}, - {0.269531f, 0.632812f, 0.207031f, 0.105469f}, {0.183594f, 0.449219f, 0.281250f, 0.179688f}, - {0.746094f, 0.675781f, 0.031250f, 0.691406f}, {0.402344f, 0.113281f, 0.558594f, 0.574219f}, - {0.894531f, 0.613281f, 0.238281f, 0.839844f}, {0.277344f, 0.277344f, 0.351562f, 0.964844f}, - {0.976562f, 0.074219f, 0.832031f, 0.535156f}, {0.332031f, 0.472656f, 0.464844f, 0.335938f}, - {0.738281f, 0.597656f, 0.882812f, 0.171875f}, {0.601562f, 0.855469f, 0.937500f, 0.125000f}, - {0.292969f, 0.648438f, 0.500000f, 0.058594f}, {0.687500f, 0.996094f, 0.175781f, 0.660156f}, - {0.984375f, 0.582031f, 0.820312f, 0.527344f}, {0.757812f, 0.761719f, 0.253906f, 0.339844f}, - {0.488281f, 0.843750f, 0.472656f, 0.128906f}, {0.324219f, 0.265625f, 0.007812f, 0.726562f}, - {0.085938f, 0.023438f, 0.792969f, 0.386719f}, {0.519531f, 0.664062f, 0.414062f, 0.789062f}, - {0.578125f, 0.175781f, 0.351562f, 0.015625f}, {0.792969f, 0.292969f, 0.035156f, 0.585938f}, - {0.308594f, 0.992188f, 0.441406f, 0.769531f}, {0.105469f, 0.683594f, 0.648438f, 0.988281f}, - {0.765625f, 0.804688f, 0.519531f, 0.093750f}, {0.371094f, 0.074219f, 0.734375f, 0.621094f}, - {0.929688f, 0.746094f, 0.156250f, 0.359375f}, {0.296875f, 0.964844f, 0.546875f, 0.011719f}, - {0.722656f, 0.554688f, 0.453125f, 0.414062f}, {0.402344f, 0.347656f, 0.371094f, 0.761719f}, - {0.964844f, 0.207031f, 0.187500f, 0.078125f}, {0.511719f, 0.074219f, 0.558594f, 0.476562f}, - {0.257812f, 0.808594f, 0.433594f, 0.781250f}, {0.191406f, 0.410156f, 0.746094f, 0.839844f}, - {0.750000f, 0.109375f, 0.117188f, 0.281250f}, {0.531250f, 0.195312f, 0.312500f, 0.031250f}, - {0.859375f, 0.562500f, 0.976562f, 0.570312f}, {0.664062f, 0.703125f, 0.148438f, 0.320312f}, - {0.363281f, 0.078125f, 0.687500f, 0.613281f}, {0.062500f, 0.531250f, 0.593750f, 0.082031f}, - {0.703125f, 0.886719f, 0.105469f, 0.539062f}, {0.316406f, 0.382812f, 0.632812f, 0.035156f}, - {0.390625f, 0.218750f, 0.453125f, 0.644531f}, {0.835938f, 0.562500f, 0.718750f, 0.582031f}, - {0.214844f, 0.660156f, 0.546875f, 0.886719f}, {0.933594f, 0.359375f, 0.875000f, 0.160156f}, - {0.089844f, 0.890625f, 0.218750f, 0.378906f}, {0.730469f, 0.210938f, 0.519531f, 0.062500f}, - {0.359375f, 0.558594f, 0.972656f, 0.480469f}, {0.621094f, 0.324219f, 0.074219f, 0.136719f}, - {0.042969f, 0.871094f, 0.191406f, 0.304688f}, {0.761719f, 0.589844f, 0.449219f, 0.050781f}, - {0.476562f, 0.914062f, 0.750000f, 0.253906f}, {0.929688f, 0.414062f, 0.621094f, 0.476562f}, - {0.218750f, 0.234375f, 0.269531f, 0.195312f}, {0.867188f, 0.519531f, 0.082031f, 0.042969f}, - {0.320312f, 0.648438f, 0.773438f, 0.613281f}, {0.898438f, 0.328125f, 0.882812f, 0.882812f}, - {0.769531f, 0.882812f, 0.175781f, 0.113281f}, {0.093750f, 0.109375f, 0.828125f, 0.183594f}, - {0.566406f, 0.406250f, 0.687500f, 0.378906f}, {0.179688f, 0.714844f, 0.394531f, 0.054688f}, - {0.984375f, 0.042969f, 0.863281f, 0.316406f}, {0.066406f, 0.671875f, 0.937500f, 0.824219f}, - {0.574219f, 0.183594f, 0.351562f, 0.757812f}, {0.371094f, 0.570312f, 0.531250f, 0.347656f}, - {0.675781f, 0.070312f, 0.718750f, 0.261719f}, {0.480469f, 0.949219f, 0.902344f, 0.976562f}, - {0.808594f, 0.250000f, 0.648438f, 0.398438f}, {0.343750f, 0.539062f, 0.761719f, 0.054688f}, - {0.601562f, 0.984375f, 0.082031f, 0.152344f}, {0.828125f, 0.828125f, 0.917969f, 0.730469f}, - {0.121094f, 0.355469f, 0.625000f, 0.636719f}, {0.554688f, 0.226562f, 0.148438f, 0.406250f}, - {0.398438f, 0.148438f, 0.222656f, 0.792969f}, {0.945312f, 0.429688f, 0.664062f, 0.562500f}, - {0.082031f, 0.015625f, 0.410156f, 0.753906f}, {0.351562f, 0.367188f, 0.039062f, 0.187500f}, - {0.562500f, 0.121094f, 0.359375f, 0.238281f}, {0.191406f, 0.308594f, 0.992188f, 0.886719f}, - {0.128906f, 0.703125f, 0.144531f, 0.988281f}, {0.812500f, 0.539062f, 0.707031f, 0.558594f}, - {0.968750f, 0.968750f, 0.933594f, 0.179688f}, {0.429688f, 0.335938f, 0.214844f, 0.929688f}, - {0.195312f, 0.753906f, 0.554688f, 0.859375f}, {0.902344f, 0.867188f, 0.613281f, 0.363281f}, - {0.468750f, 0.031250f, 0.960938f, 0.152344f}, {0.613281f, 0.234375f, 0.183594f, 0.304688f}, - {0.210938f, 0.417969f, 0.292969f, 0.429688f}, {0.570312f, 0.476562f, 0.855469f, 0.882812f}, - {0.652344f, 0.828125f, 0.406250f, 0.480469f}, {0.453125f, 0.386719f, 0.941406f, 0.722656f}, - {0.085938f, 0.117188f, 0.246094f, 0.585938f}, {0.558594f, 0.710938f, 0.730469f, 0.933594f}, - {0.140625f, 0.609375f, 0.804688f, 0.632812f}, {0.828125f, 0.996094f, 0.652344f, 0.320312f}, - {0.687500f, 0.312500f, 0.335938f, 0.234375f}, {0.441406f, 0.472656f, 0.222656f, 0.402344f}, - {0.632812f, 0.730469f, 0.890625f, 0.937500f}, {0.332031f, 0.871094f, 0.531250f, 0.675781f}, - {0.164062f, 0.304688f, 0.464844f, 0.445312f}, {0.906250f, 0.914062f, 0.851562f, 0.160156f}, - {0.460938f, 0.238281f, 0.246094f, 0.722656f}, {0.273438f, 0.753906f, 0.917969f, 0.398438f}, - {0.777344f, 0.046875f, 0.304688f, 0.992188f}, {0.941406f, 0.496094f, 0.863281f, 0.847656f}, - {0.554688f, 0.781250f, 0.144531f, 0.179688f}, {0.050781f, 0.097656f, 0.816406f, 0.406250f}, - {0.621094f, 0.925781f, 0.003906f, 0.789062f}, {0.468750f, 0.515625f, 0.406250f, 0.273438f}, - {0.820312f, 0.156250f, 0.679688f, 0.621094f}, {0.027344f, 0.691406f, 0.140625f, 0.734375f}, - {0.234375f, 0.828125f, 0.382812f, 0.808594f}, {0.890625f, 0.054688f, 0.640625f, 0.410156f}, - {0.398438f, 0.144531f, 0.582031f, 0.652344f}, {0.117188f, 0.722656f, 0.804688f, 0.519531f}, - {0.265625f, 0.035156f, 0.132812f, 0.835938f}, {0.824219f, 0.781250f, 0.335938f, 0.589844f}, - {0.015625f, 0.972656f, 0.503906f, 0.324219f}, {0.644531f, 0.367188f, 0.843750f, 0.792969f}, - {0.460938f, 0.839844f, 0.656250f, 0.375000f}, {0.707031f, 0.179688f, 0.445312f, 0.496094f}, - {0.148438f, 0.484375f, 0.253906f, 0.269531f}, {0.292969f, 0.585938f, 0.347656f, 0.710938f}, - {0.800781f, 0.292969f, 0.101562f, 0.792969f}, {0.343750f, 0.847656f, 0.503906f, 0.992188f}, - {0.511719f, 0.453125f, 0.160156f, 0.542969f}, {0.843750f, 0.261719f, 0.628906f, 0.207031f}, - {0.214844f, 0.878906f, 0.777344f, 0.082031f}, {0.957031f, 0.492188f, 0.054688f, 0.855469f}, - {0.890625f, 0.382812f, 0.136719f, 0.656250f}, {0.019531f, 0.804688f, 0.328125f, 0.519531f}, - {0.636719f, 0.042969f, 0.402344f, 0.753906f}, {0.148438f, 0.753906f, 0.179688f, 0.449219f}, - {0.046875f, 0.398438f, 0.507812f, 0.320312f}, {0.511719f, 0.019531f, 0.429688f, 0.253906f}, - {0.222656f, 0.660156f, 0.003906f, 0.003906f}, {0.707031f, 0.910156f, 0.726562f, 0.933594f}, - {0.011719f, 0.742188f, 0.781250f, 0.281250f}, {0.863281f, 0.316406f, 0.281250f, 0.445312f}, - {0.515625f, 0.496094f, 0.570312f, 0.910156f}, {0.785156f, 0.875000f, 0.867188f, 0.605469f}, - {0.042969f, 0.230469f, 0.207031f, 0.824219f}, {0.667969f, 0.468750f, 0.605469f, 0.472656f}, - {0.878906f, 0.906250f, 0.316406f, 0.046875f}, {0.382812f, 0.164062f, 0.765625f, 0.671875f}, - {0.015625f, 0.093750f, 0.070312f, 0.312500f}, {0.640625f, 0.425781f, 0.277344f, 0.457031f}, - {0.847656f, 0.613281f, 0.859375f, 0.113281f}, {0.062500f, 0.128906f, 0.128906f, 0.691406f}, - {0.726562f, 0.558594f, 0.761719f, 0.503906f}, {0.398438f, 0.355469f, 0.382812f, 0.917969f}, - {0.886719f, 0.925781f, 0.000000f, 0.667969f}, {0.000000f, 0.148438f, 0.792969f, 0.062500f}, - {0.156250f, 0.277344f, 0.597656f, 0.242188f}, {0.808594f, 0.191406f, 0.316406f, 0.855469f}, - {0.945312f, 0.910156f, 0.042969f, 0.117188f}, {0.226562f, 0.453125f, 0.914062f, 0.191406f}, - {0.761719f, 0.250000f, 0.109375f, 0.441406f}, {0.308594f, 0.015625f, 0.480469f, 0.882812f}, - {0.015625f, 0.671875f, 0.847656f, 0.132812f}, {0.878906f, 0.144531f, 0.074219f, 0.605469f}, - {0.933594f, 0.945312f, 0.613281f, 0.074219f}, {0.074219f, 0.503906f, 0.777344f, 0.359375f}, - {0.406250f, 0.378906f, 0.050781f, 0.796875f}, {0.718750f, 0.605469f, 0.367188f, 0.886719f}, - {0.003906f, 0.449219f, 0.554688f, 0.500000f}, {0.218750f, 0.988281f, 0.015625f, 0.218750f}, - {0.640625f, 0.636719f, 0.730469f, 0.769531f}, {0.117188f, 0.144531f, 0.375000f, 0.269531f}, - {0.429688f, 0.429688f, 0.250000f, 0.691406f}, {0.902344f, 0.839844f, 0.488281f, 0.957031f}, - {0.261719f, 0.316406f, 0.949219f, 0.460938f}, {0.339844f, 0.738281f, 0.304688f, 0.085938f}, - {0.531250f, 0.015625f, 0.101562f, 0.507812f}, {0.691406f, 0.984375f, 0.832031f, 0.941406f}, - {0.945312f, 0.378906f, 0.890625f, 0.015625f}, {0.562500f, 0.628906f, 0.324219f, 0.203125f}, - {0.796875f, 0.953125f, 0.011719f, 0.921875f}, {0.656250f, 0.285156f, 0.953125f, 0.730469f}, - {0.167969f, 0.183594f, 0.542969f, 0.085938f}, {0.542969f, 0.468750f, 0.906250f, 0.890625f}, - {0.410156f, 0.617188f, 0.046875f, 0.695312f}, {0.996094f, 0.128906f, 0.199219f, 0.972656f}, - {0.191406f, 0.050781f, 0.945312f, 0.148438f}, {0.511719f, 0.937500f, 0.117188f, 0.738281f}, - {0.613281f, 0.734375f, 0.722656f, 0.910156f}, {0.921875f, 0.019531f, 0.988281f, 0.429688f}, - {0.652344f, 0.972656f, 0.601562f, 0.601562f}, {0.003906f, 0.136719f, 0.746094f, 0.664062f}, - {0.722656f, 0.359375f, 0.011719f, 0.148438f}, {0.402344f, 0.609375f, 0.257812f, 0.718750f}, - {0.765625f, 0.785156f, 0.414062f, 0.437500f}, {0.082031f, 0.296875f, 0.480469f, 0.605469f}, - {0.542969f, 0.144531f, 0.996094f, 0.011719f}, {0.312500f, 0.699219f, 0.589844f, 0.882812f}, - {0.242188f, 0.328125f, 0.859375f, 0.222656f}, {0.968750f, 0.593750f, 0.699219f, 0.804688f}, - {0.425781f, 0.156250f, 0.964844f, 0.902344f}, {0.753906f, 0.492188f, 0.296875f, 0.605469f}, - {0.917969f, 0.792969f, 0.582031f, 0.472656f}, {0.468750f, 0.546875f, 0.382812f, 0.847656f}, - {0.632812f, 0.058594f, 0.074219f, 0.066406f}, {0.261719f, 0.937500f, 0.968750f, 0.683594f}, - {0.160156f, 0.687500f, 0.125000f, 0.320312f}, {0.441406f, 0.781250f, 0.648438f, 0.019531f}, - {0.320312f, 0.972656f, 0.023438f, 0.710938f}, {0.937500f, 0.070312f, 0.429688f, 0.164062f}, - {0.273438f, 0.406250f, 0.886719f, 0.414062f}, {0.585938f, 0.789062f, 0.511719f, 0.804688f}, - {0.234375f, 0.574219f, 0.636719f, 0.230469f}, {0.750000f, 0.832031f, 0.460938f, 0.531250f}, - {0.355469f, 0.250000f, 0.695312f, 0.750000f}, {0.281250f, 0.480469f, 0.328125f, 0.250000f}, - {0.132812f, 0.726562f, 0.500000f, 0.035156f}, {0.671875f, 0.886719f, 0.917969f, 0.601562f}, - {0.972656f, 0.621094f, 0.664062f, 0.199219f}, {0.328125f, 0.699219f, 0.472656f, 0.789062f}, - {0.511719f, 0.519531f, 0.121094f, 0.519531f}, {0.695312f, 0.593750f, 0.699219f, 0.300781f}, - {0.351562f, 0.054688f, 0.503906f, 0.683594f}, {0.621094f, 0.757812f, 0.628906f, 0.351562f}, - {0.484375f, 0.882812f, 0.285156f, 0.808594f}, {0.660156f, 0.394531f, 0.152344f, 0.046875f}, - {0.386719f, 0.574219f, 0.992188f, 0.660156f}, {0.121094f, 0.824219f, 0.691406f, 0.738281f}, - {0.242188f, 0.234375f, 0.410156f, 0.531250f}, {0.601562f, 0.031250f, 0.171875f, 0.191406f}, - {0.773438f, 0.085938f, 0.277344f, 0.960938f}, {0.507812f, 0.839844f, 0.656250f, 0.113281f}, - {0.968750f, 0.179688f, 0.812500f, 0.023438f}, {0.566406f, 0.351562f, 0.203125f, 0.632812f}, - {0.878906f, 0.289062f, 0.515625f, 0.343750f}, {0.484375f, 0.710938f, 0.996094f, 0.121094f}, - {0.183594f, 0.957031f, 0.589844f, 0.519531f}, {0.734375f, 0.191406f, 0.187500f, 0.042969f}, - {0.804688f, 0.621094f, 0.644531f, 0.222656f}, {0.148438f, 0.269531f, 0.757812f, 0.898438f}, - {0.406250f, 0.480469f, 0.574219f, 0.664062f}, {0.109375f, 0.789062f, 0.457031f, 0.328125f}, - {0.296875f, 0.234375f, 0.718750f, 0.246094f}, {0.191406f, 0.523438f, 0.500000f, 0.570312f}, - {0.500000f, 0.449219f, 0.281250f, 0.351562f}, {0.324219f, 0.347656f, 0.218750f, 0.160156f}, - {0.953125f, 0.683594f, 0.378906f, 0.441406f}, {0.710938f, 0.539062f, 0.703125f, 0.382812f}, - {0.097656f, 0.886719f, 0.425781f, 0.003906f}, {0.347656f, 0.281250f, 0.296875f, 0.546875f}, - {0.761719f, 0.695312f, 0.554688f, 0.246094f}, {0.039062f, 0.433594f, 0.386719f, 0.078125f}, - {0.253906f, 0.230469f, 0.496094f, 0.566406f}, {0.378906f, 0.804688f, 0.058594f, 0.023438f}, - {0.449219f, 0.648438f, 0.304688f, 0.335938f}, {0.875000f, 0.199219f, 0.437500f, 0.101562f}, - {0.136719f, 0.917969f, 0.917969f, 0.476562f}, {0.285156f, 0.539062f, 0.847656f, 0.902344f}, - {0.617188f, 0.003906f, 0.703125f, 0.250000f}, {0.167969f, 0.996094f, 0.210938f, 0.953125f}, - {0.429688f, 0.437500f, 0.800781f, 0.308594f}, {0.738281f, 0.847656f, 0.265625f, 0.140625f}, - {0.847656f, 0.210938f, 0.019531f, 0.566406f}, {0.558594f, 0.929688f, 0.125000f, 0.085938f}, - {0.660156f, 0.878906f, 0.808594f, 0.363281f}, {0.179688f, 0.289062f, 0.203125f, 0.671875f}, - {0.308594f, 0.203125f, 0.851562f, 0.117188f}, {0.367188f, 0.414062f, 0.902344f, 0.746094f}, - {0.101562f, 0.621094f, 0.527344f, 0.210938f}, {0.804688f, 0.265625f, 0.332031f, 0.500000f}, - {0.914062f, 0.175781f, 0.464844f, 0.960938f}, {0.726562f, 0.535156f, 0.734375f, 0.378906f}, - {0.628906f, 0.656250f, 0.539062f, 0.628906f}, {0.074219f, 0.601562f, 0.804688f, 0.273438f}, - {0.453125f, 0.347656f, 0.109375f, 0.578125f}, {0.531250f, 0.210938f, 0.378906f, 0.867188f}, - {0.699219f, 0.683594f, 0.175781f, 0.085938f}, {0.156250f, 0.050781f, 0.832031f, 0.972656f}, - {0.492188f, 0.945312f, 0.972656f, 0.625000f}, {0.953125f, 0.382812f, 0.085938f, 0.820312f}, - {0.550781f, 0.199219f, 0.253906f, 0.417969f}, {0.246094f, 0.082031f, 0.566406f, 0.847656f}, - {0.449219f, 0.308594f, 0.070312f, 0.371094f}, {0.785156f, 0.003906f, 0.234375f, 0.132812f}, - {0.097656f, 0.984375f, 0.984375f, 0.746094f}, {0.269531f, 0.847656f, 0.187500f, 0.980469f}, - {0.871094f, 0.656250f, 0.824219f, 0.031250f}, {0.039062f, 0.296875f, 0.398438f, 0.550781f}, - {0.187500f, 0.503906f, 0.882812f, 0.917969f}, {0.992188f, 0.179688f, 0.589844f, 0.500000f}, - {0.789062f, 0.718750f, 0.363281f, 0.289062f}, {0.558594f, 0.332031f, 0.007812f, 0.980469f}, - {0.464844f, 0.531250f, 0.507812f, 0.460938f}, {0.824219f, 0.640625f, 0.902344f, 0.253906f}, - {0.203125f, 0.781250f, 0.722656f, 0.593750f}, {0.304688f, 0.687500f, 0.960938f, 0.308594f}, - {0.136719f, 0.117188f, 0.125000f, 0.707031f}, {0.839844f, 0.550781f, 0.410156f, 0.917969f}, - {0.351562f, 0.808594f, 0.769531f, 0.468750f}, {0.289062f, 0.000000f, 0.074219f, 0.863281f}, - {0.667969f, 0.582031f, 0.691406f, 0.597656f}, {0.015625f, 0.375000f, 0.117188f, 0.371094f}, - {0.578125f, 0.054688f, 0.902344f, 0.765625f}, {0.957031f, 0.882812f, 0.351562f, 0.558594f}, - {0.644531f, 0.417969f, 0.058594f, 0.128906f}, {0.847656f, 0.664062f, 0.238281f, 0.429688f}, - {0.464844f, 0.070312f, 0.171875f, 0.773438f}, {0.746094f, 0.917969f, 0.929688f, 0.855469f}, - {0.000000f, 0.109375f, 0.777344f, 0.613281f}, {0.867188f, 0.851562f, 0.660156f, 0.996094f}, - {0.609375f, 0.796875f, 0.851562f, 0.273438f}, {0.445312f, 0.222656f, 0.160156f, 0.777344f}, - {0.808594f, 0.078125f, 0.597656f, 0.199219f}, {0.277344f, 0.394531f, 0.800781f, 0.636719f}, - {0.582031f, 0.824219f, 0.753906f, 0.464844f}, {0.945312f, 0.511719f, 0.632812f, 0.851562f}, - {0.835938f, 0.316406f, 0.226562f, 0.941406f}, {0.082031f, 0.554688f, 0.863281f, 0.210938f}, - {0.546875f, 0.378906f, 0.785156f, 0.812500f}, {0.222656f, 0.468750f, 0.191406f, 0.289062f}, - {0.953125f, 0.753906f, 0.535156f, 0.843750f}, {0.484375f, 0.089844f, 0.652344f, 0.367188f}, - {0.828125f, 0.226562f, 0.089844f, 0.042969f}, {0.687500f, 0.722656f, 0.566406f, 0.746094f}, - {0.937500f, 0.640625f, 0.375000f, 0.488281f}, {0.496094f, 0.105469f, 0.675781f, 0.386719f}, - {0.113281f, 0.527344f, 0.460938f, 0.699219f}, {0.375000f, 0.453125f, 0.546875f, 0.945312f}, - {0.878906f, 0.679688f, 0.343750f, 0.511719f}, {0.070312f, 0.085938f, 0.644531f, 0.179688f}, - {0.820312f, 0.718750f, 0.480469f, 0.996094f}, {0.992188f, 0.957031f, 0.160156f, 0.390625f}, - {0.683594f, 0.121094f, 0.695312f, 0.582031f}, {0.582031f, 0.824219f, 0.242188f, 0.148438f}, - {0.203125f, 0.382812f, 0.835938f, 0.867188f}, {0.386719f, 0.042969f, 0.925781f, 0.105469f}, - {0.832031f, 0.285156f, 0.296875f, 0.792969f}, {0.152344f, 0.738281f, 0.671875f, 0.945312f}, - {0.765625f, 0.855469f, 0.234375f, 0.347656f}, {0.855469f, 0.511719f, 0.914062f, 0.734375f}, - {0.101562f, 0.917969f, 0.582031f, 0.000000f}, {0.917969f, 0.316406f, 0.019531f, 0.394531f}, - {0.804688f, 0.636719f, 0.410156f, 0.328125f}, {0.601562f, 0.765625f, 0.199219f, 0.171875f}, - {0.027344f, 0.515625f, 0.800781f, 0.949219f}, {0.761719f, 0.835938f, 0.890625f, 0.285156f}, - {0.183594f, 0.429688f, 0.734375f, 0.554688f}, {0.855469f, 0.773438f, 0.433594f, 0.925781f}, - {0.593750f, 0.222656f, 0.871094f, 0.457031f}, {0.402344f, 0.351562f, 0.351562f, 0.625000f}, - {0.917969f, 0.414062f, 0.554688f, 0.402344f}, {0.539062f, 0.136719f, 0.023438f, 0.257812f}, - {0.433594f, 0.792969f, 0.718750f, 0.757812f}, {0.082031f, 0.960938f, 0.210938f, 0.160156f}, - {0.281250f, 0.097656f, 0.789062f, 0.378906f}, {0.714844f, 0.863281f, 0.304688f, 0.859375f}, - {0.343750f, 0.433594f, 0.828125f, 0.000000f}, {0.953125f, 0.976562f, 0.226562f, 0.769531f}, - {0.042969f, 0.273438f, 0.566406f, 0.843750f}, {0.691406f, 0.402344f, 0.335938f, 0.425781f}, - {0.394531f, 0.937500f, 0.476562f, 0.550781f}, {0.613281f, 0.476562f, 0.636719f, 0.808594f}, - {0.093750f, 0.878906f, 0.890625f, 0.167969f}, {0.789062f, 0.234375f, 0.324219f, 0.066406f}, - {0.980469f, 0.511719f, 0.441406f, 0.933594f}, {0.382812f, 0.675781f, 0.796875f, 0.710938f}, - {0.500000f, 0.765625f, 0.273438f, 0.312500f}, {0.078125f, 0.125000f, 0.527344f, 0.839844f}, - {0.757812f, 0.554688f, 0.980469f, 0.187500f}, {0.246094f, 0.332031f, 0.816406f, 0.960938f}, - {0.589844f, 0.167969f, 0.421875f, 0.687500f}, {0.984375f, 0.582031f, 0.609375f, 0.074219f}, - {0.089844f, 0.746094f, 0.097656f, 0.472656f}, {0.375000f, 0.406250f, 0.046875f, 0.117188f}, - {0.238281f, 0.023438f, 0.468750f, 0.664062f}, {0.042969f, 0.570312f, 0.984375f, 0.527344f}, - {0.894531f, 0.988281f, 0.097656f, 0.917969f}, {0.679688f, 0.750000f, 0.882812f, 0.824219f}, - {0.121094f, 0.156250f, 0.015625f, 0.296875f}, {0.417969f, 0.601562f, 0.152344f, 0.675781f}, - {0.714844f, 0.062500f, 0.925781f, 0.367188f}, {0.187500f, 0.878906f, 0.679688f, 0.515625f}, - {0.789062f, 0.097656f, 0.574219f, 0.632812f}, {0.671875f, 0.683594f, 0.132812f, 0.968750f}, - {0.593750f, 0.828125f, 0.363281f, 0.695312f}, {0.332031f, 0.324219f, 0.281250f, 0.535156f}, - {0.058594f, 0.406250f, 0.957031f, 0.585938f}, {0.250000f, 0.871094f, 0.164062f, 0.800781f}, - {0.355469f, 0.574219f, 0.894531f, 0.187500f}, {0.042969f, 0.359375f, 0.070312f, 0.625000f}, - {0.207031f, 0.265625f, 0.949219f, 0.839844f}, {0.703125f, 0.031250f, 0.746094f, 0.039062f}, - {0.273438f, 0.609375f, 0.242188f, 0.246094f}, {0.601562f, 0.371094f, 0.093750f, 0.781250f}, - {0.535156f, 0.859375f, 0.765625f, 0.542969f}, {0.140625f, 0.324219f, 0.035156f, 0.292969f}, - {0.425781f, 0.476562f, 0.605469f, 0.812500f}, {0.292969f, 0.585938f, 0.417969f, 0.660156f}, - {0.023438f, 0.890625f, 0.066406f, 0.246094f}, {0.542969f, 0.445312f, 0.183594f, 0.539062f}, - {0.484375f, 0.152344f, 0.976562f, 0.027344f}, {0.226562f, 0.953125f, 0.480469f, 0.488281f}, - {0.988281f, 0.003906f, 0.054688f, 0.128906f}, {0.339844f, 0.125000f, 0.703125f, 0.648438f}, - {0.406250f, 0.265625f, 0.281250f, 0.511719f}, {0.203125f, 0.453125f, 0.746094f, 0.890625f}, - {0.308594f, 0.164062f, 0.535156f, 0.105469f}, {0.425781f, 0.023438f, 0.679688f, 0.574219f}, - {0.871094f, 0.976562f, 0.609375f, 0.718750f}, {0.371094f, 0.664062f, 0.367188f, 0.078125f}, - {0.531250f, 0.140625f, 0.160156f, 0.660156f}, {0.050781f, 0.570312f, 0.289062f, 0.007812f}, - {0.710938f, 0.488281f, 0.636719f, 0.332031f}, {0.214844f, 0.089844f, 0.773438f, 0.207031f}, - {0.132812f, 0.937500f, 0.097656f, 0.871094f}, {0.746094f, 0.554688f, 0.257812f, 0.097656f}, - {0.832031f, 0.039062f, 0.964844f, 0.601562f}, {0.597656f, 0.625000f, 0.464844f, 0.703125f}, - {0.898438f, 0.371094f, 0.539062f, 0.218750f}, {0.160156f, 0.207031f, 0.132812f, 0.574219f}, - {0.515625f, 0.050781f, 0.937500f, 0.121094f}, {0.089844f, 0.734375f, 0.449219f, 0.343750f}, - {0.640625f, 0.156250f, 0.093750f, 0.671875f}, {0.894531f, 0.578125f, 0.039062f, 0.058594f}, - {0.449219f, 0.218750f, 0.847656f, 0.226562f}, {0.753906f, 0.726562f, 0.175781f, 0.382812f}, - {0.035156f, 0.082031f, 0.261719f, 0.281250f}, {0.542969f, 0.328125f, 0.023438f, 0.652344f}, - {0.234375f, 0.910156f, 0.562500f, 0.433594f}, {0.707031f, 0.449219f, 0.855469f, 0.242188f}, - {0.312500f, 0.941406f, 0.394531f, 0.003906f}, {0.203125f, 0.218750f, 0.035156f, 0.625000f}, - {0.917969f, 0.835938f, 0.628906f, 0.492188f}, {0.363281f, 0.972656f, 0.699219f, 0.382812f}, - {0.156250f, 0.710938f, 0.125000f, 0.035156f}, {0.425781f, 0.265625f, 0.367188f, 0.535156f}, - {0.667969f, 0.875000f, 0.535156f, 0.300781f}, {0.527344f, 0.640625f, 0.742188f, 0.753906f}, - {0.769531f, 0.148438f, 0.328125f, 0.871094f}, {0.152344f, 0.484375f, 0.230469f, 0.046875f}, - {0.488281f, 0.332031f, 0.511719f, 0.339844f}, {0.214844f, 0.656250f, 0.265625f, 0.105469f}, - {0.539062f, 0.906250f, 0.363281f, 0.417969f}, {0.878906f, 0.207031f, 0.464844f, 0.167969f}, - {0.304688f, 0.957031f, 0.324219f, 0.769531f}, {0.496094f, 0.726562f, 0.039062f, 0.117188f}, - {0.980469f, 0.273438f, 0.406250f, 0.453125f}, {0.031250f, 0.167969f, 0.976562f, 0.058594f}, - {0.414062f, 0.585938f, 0.804688f, 0.156250f}, {0.117188f, 0.960938f, 0.023438f, 0.222656f}, - {0.882812f, 0.507812f, 0.449219f, 0.414062f}, {0.554688f, 0.066406f, 0.757812f, 0.113281f}, - {0.808594f, 0.175781f, 0.515625f, 0.984375f}, {0.621094f, 0.937500f, 0.304688f, 0.269531f}, - {0.769531f, 0.824219f, 0.609375f, 0.449219f}, {0.906250f, 0.750000f, 0.386719f, 0.738281f}, - {0.464844f, 0.980469f, 0.878906f, 0.335938f}, {0.000000f, 0.542969f, 0.441406f, 0.429688f}, - {0.781250f, 0.179688f, 0.984375f, 0.027344f}, {0.238281f, 0.765625f, 0.304688f, 0.914062f}, - {0.500000f, 0.011719f, 0.914062f, 0.082031f}, {0.871094f, 0.238281f, 0.792969f, 0.355469f}, - {0.750000f, 0.707031f, 0.632812f, 0.742188f}, {0.945312f, 0.796875f, 0.382812f, 0.433594f}, - {0.109375f, 0.207031f, 0.570312f, 0.316406f}, {0.707031f, 0.492188f, 0.761719f, 0.203125f}, - {0.597656f, 0.390625f, 0.328125f, 0.917969f}, {0.003906f, 0.554688f, 0.941406f, 0.261719f}, - {0.519531f, 0.777344f, 0.453125f, 0.445312f}, {0.628906f, 0.699219f, 0.144531f, 0.679688f}, - {0.066406f, 0.867188f, 0.878906f, 0.226562f}, {0.683594f, 0.589844f, 0.308594f, 0.777344f}, - {0.117188f, 0.246094f, 0.464844f, 0.437500f}, {0.933594f, 0.339844f, 0.027344f, 0.488281f}, - {0.632812f, 0.917969f, 0.925781f, 0.234375f}, {0.320312f, 0.273438f, 0.535156f, 0.886719f}, - {0.980469f, 0.816406f, 0.050781f, 0.734375f}, {0.476562f, 0.734375f, 0.488281f, 0.152344f}, - {0.648438f, 0.187500f, 0.687500f, 0.824219f}, {0.308594f, 0.875000f, 0.847656f, 0.460938f}, - {0.367188f, 0.695312f, 0.417969f, 0.949219f}, {0.234375f, 0.281250f, 0.097656f, 0.035156f}, - {0.007812f, 0.468750f, 0.667969f, 0.421875f}, {0.664062f, 0.921875f, 0.753906f, 0.914062f}, - {0.863281f, 0.597656f, 0.605469f, 0.718750f}, {0.378906f, 0.320312f, 0.386719f, 0.476562f}, - {0.273438f, 0.492188f, 0.683594f, 0.953125f}, {0.550781f, 0.851562f, 0.781250f, 0.144531f}, - {0.167969f, 0.027344f, 0.593750f, 0.613281f}, {0.250000f, 0.367188f, 0.925781f, 0.976562f}, - {0.941406f, 0.656250f, 0.511719f, 0.746094f}, {0.468750f, 0.757812f, 0.675781f, 0.531250f}, - {0.156250f, 0.140625f, 0.953125f, 0.132812f}, {0.890625f, 0.269531f, 0.164062f, 0.792969f}, - {0.820312f, 0.074219f, 0.734375f, 0.988281f}, {0.449219f, 0.605469f, 0.476562f, 0.105469f}, - {0.546875f, 0.503906f, 0.210938f, 0.738281f}, {0.058594f, 0.019531f, 0.320312f, 0.277344f}, - {0.875000f, 0.390625f, 0.867188f, 0.914062f}, {0.718750f, 0.468750f, 0.261719f, 0.808594f}, - {0.281250f, 0.207031f, 0.953125f, 0.175781f}, {0.832031f, 0.312500f, 0.835938f, 0.402344f}, - {0.914062f, 0.945312f, 0.640625f, 0.230469f}, {0.316406f, 0.816406f, 0.402344f, 0.457031f}, - {0.648438f, 0.257812f, 0.730469f, 0.593750f}, {0.976562f, 0.441406f, 0.667969f, 0.730469f}, - {0.363281f, 0.011719f, 0.957031f, 0.984375f}, {0.015625f, 0.363281f, 0.820312f, 0.019531f}, - {0.636719f, 0.476562f, 0.531250f, 0.574219f}, {0.144531f, 0.632812f, 0.734375f, 0.878906f}, - {0.355469f, 0.421875f, 0.253906f, 0.269531f}, {0.269531f, 0.929688f, 0.484375f, 0.730469f}, - {0.773438f, 0.027344f, 0.621094f, 0.339844f}, {0.921875f, 0.253906f, 0.707031f, 0.925781f}, - {0.722656f, 0.660156f, 0.328125f, 0.867188f}, {0.453125f, 0.777344f, 0.839844f, 0.679688f}, - {0.156250f, 0.292969f, 0.234375f, 0.324219f}, {0.988281f, 0.699219f, 0.128906f, 0.062500f}, - {0.523438f, 0.402344f, 0.820312f, 0.898438f}, {0.128906f, 0.140625f, 0.183594f, 0.160156f}, - {0.394531f, 0.238281f, 0.050781f, 0.597656f}, {0.964844f, 0.062500f, 0.660156f, 0.855469f}, - {0.339844f, 0.429688f, 0.558594f, 0.707031f}, {0.722656f, 0.648438f, 0.363281f, 0.628906f}, - {0.921875f, 0.515625f, 0.207031f, 0.460938f}, {0.054688f, 0.988281f, 0.503906f, 0.878906f}, - {0.652344f, 0.089844f, 0.718750f, 0.179688f}, {0.351562f, 0.339844f, 0.140625f, 0.980469f}, - {0.800781f, 0.902344f, 0.085938f, 0.679688f}, {0.429688f, 0.679688f, 0.859375f, 0.765625f}, - {0.296875f, 0.820312f, 0.195312f, 0.546875f}, {0.675781f, 0.613281f, 0.621094f, 0.839844f}, - {0.882812f, 0.933594f, 0.816406f, 0.167969f}, {0.769531f, 0.070312f, 0.363281f, 0.812500f}, - {0.964844f, 0.367188f, 0.062500f, 0.937500f}, {0.480469f, 0.421875f, 0.988281f, 0.351562f}, - {0.226562f, 0.113281f, 0.121094f, 0.144531f}, {0.277344f, 0.726562f, 0.828125f, 0.992188f}, - {0.742188f, 0.464844f, 0.695312f, 0.804688f}, {0.152344f, 0.058594f, 0.398438f, 0.382812f}, - {0.421875f, 0.675781f, 0.960938f, 0.574219f}, {0.792969f, 0.601562f, 0.144531f, 0.511719f}, - {0.031250f, 0.320312f, 0.332031f, 0.648438f}, {0.933594f, 0.441406f, 0.578125f, 0.292969f}, - {0.703125f, 0.230469f, 0.179688f, 0.789062f}, {0.492188f, 0.773438f, 0.925781f, 0.527344f}, - {0.960938f, 0.535156f, 0.339844f, 0.324219f}, {0.425781f, 0.671875f, 0.035156f, 0.820312f}, - {0.734375f, 0.804688f, 0.257812f, 0.628906f}, {0.207031f, 0.113281f, 0.164062f, 0.187500f}, - {0.808594f, 0.902344f, 0.984375f, 0.289062f}, {0.988281f, 0.636719f, 0.300781f, 0.886719f}, - {0.707031f, 0.441406f, 0.214844f, 0.507812f}, {0.328125f, 0.968750f, 0.371094f, 0.015625f}, - {0.859375f, 0.183594f, 0.742188f, 0.839844f}, {0.656250f, 0.570312f, 0.121094f, 0.332031f}, - {0.398438f, 0.414062f, 0.343750f, 0.882812f}, {0.113281f, 0.816406f, 0.234375f, 0.476562f}, - {0.613281f, 0.703125f, 0.656250f, 0.398438f}, {0.027344f, 0.359375f, 0.093750f, 0.550781f}, - {0.683594f, 0.292969f, 0.789062f, 0.855469f}, {0.785156f, 0.804688f, 0.917969f, 0.214844f}, - {0.328125f, 0.910156f, 0.574219f, 0.617188f}, {0.621094f, 0.085938f, 0.007812f, 0.359375f}, - {0.199219f, 0.687500f, 0.445312f, 0.964844f}, {0.117188f, 0.519531f, 0.183594f, 0.699219f}, - {0.574219f, 0.066406f, 0.121094f, 0.628906f}, {0.394531f, 0.605469f, 0.914062f, 0.945312f}, - {0.730469f, 0.718750f, 0.574219f, 0.144531f}, {0.078125f, 0.105469f, 0.066406f, 0.265625f}, - {0.800781f, 0.546875f, 0.191406f, 0.523438f}, {0.460938f, 0.792969f, 0.609375f, 0.703125f}, - {0.746094f, 0.847656f, 0.101562f, 0.218750f}, {0.582031f, 0.125000f, 0.914062f, 0.945312f}, - {0.859375f, 0.335938f, 0.851562f, 0.402344f}, {0.695312f, 0.535156f, 0.070312f, 0.785156f}, - {0.523438f, 0.792969f, 0.207031f, 0.593750f}, {0.210938f, 0.445312f, 0.886719f, 0.464844f}, - {0.628906f, 0.132812f, 0.582031f, 0.000000f}, {0.285156f, 0.902344f, 0.054688f, 0.515625f}, - {0.019531f, 0.472656f, 0.648438f, 0.773438f}, {0.410156f, 0.011719f, 0.414062f, 0.558594f}, - {0.312500f, 0.632812f, 0.699219f, 0.652344f}, {0.230469f, 0.500000f, 0.527344f, 0.500000f}, - {0.656250f, 0.789062f, 0.921875f, 0.109375f}, {0.843750f, 0.308594f, 0.265625f, 0.960938f}, - {0.183594f, 0.835938f, 0.734375f, 0.218750f}, {0.632812f, 0.925781f, 0.109375f, 0.140625f}, - {0.093750f, 0.136719f, 0.847656f, 0.269531f}, {0.394531f, 0.371094f, 0.011719f, 0.523438f}, - {0.191406f, 0.625000f, 0.273438f, 0.046875f}, {0.269531f, 0.566406f, 0.894531f, 0.593750f}, - {0.574219f, 0.035156f, 0.359375f, 0.906250f}, {0.164062f, 0.300781f, 0.523438f, 0.085938f}, - {0.925781f, 0.101562f, 0.425781f, 0.359375f}, {0.089844f, 0.230469f, 0.003906f, 0.054688f}, - {0.257812f, 0.332031f, 0.550781f, 0.589844f}, {0.378906f, 0.187500f, 0.242188f, 0.300781f}, - {0.167969f, 0.531250f, 0.785156f, 0.023438f}, {0.722656f, 0.824219f, 0.640625f, 0.628906f}, - {0.578125f, 0.898438f, 0.519531f, 0.546875f}, {0.835938f, 0.621094f, 0.257812f, 0.054688f}, - {0.503906f, 0.175781f, 0.195312f, 0.691406f}, {0.074219f, 0.394531f, 0.601562f, 0.304688f}, - {0.882812f, 0.953125f, 0.796875f, 0.085938f}, {0.574219f, 0.015625f, 0.230469f, 0.968750f}, - {0.273438f, 0.515625f, 0.886719f, 0.050781f}, {0.113281f, 0.828125f, 0.742188f, 0.367188f}, - {0.816406f, 0.101562f, 0.281250f, 0.183594f}, {0.187500f, 0.968750f, 0.625000f, 0.671875f}, - {0.562500f, 0.003906f, 0.796875f, 0.113281f}, {0.320312f, 0.164062f, 0.898438f, 0.257812f}, - {0.128906f, 0.257812f, 0.503906f, 0.062500f}, {0.593750f, 0.390625f, 0.843750f, 0.542969f}, - {0.472656f, 0.757812f, 0.726562f, 0.402344f}, {0.023438f, 0.062500f, 0.539062f, 0.792969f}, - {0.113281f, 0.296875f, 0.425781f, 0.722656f}, {0.523438f, 0.808594f, 0.054688f, 0.449219f}, - {0.800781f, 0.515625f, 0.816406f, 0.093750f}, {0.054688f, 0.867188f, 0.460938f, 0.207031f}, - {0.566406f, 0.019531f, 0.605469f, 0.582031f}, {0.742188f, 0.992188f, 0.882812f, 0.671875f}, - {0.265625f, 0.472656f, 0.546875f, 0.171875f}, {0.992188f, 0.171875f, 0.964844f, 0.316406f}, - {0.406250f, 0.746094f, 0.429688f, 0.695312f}, {0.132812f, 0.628906f, 0.160156f, 0.453125f}, - {0.488281f, 0.140625f, 0.507812f, 0.136719f}, {0.937500f, 0.562500f, 0.679688f, 0.566406f}, - {0.019531f, 0.789062f, 0.769531f, 0.085938f}, {0.464844f, 0.898438f, 0.597656f, 0.492188f}, - {0.957031f, 0.378906f, 0.304688f, 0.011719f}, {0.050781f, 0.179688f, 0.027344f, 0.765625f}, - {0.261719f, 0.859375f, 0.875000f, 0.375000f}, {0.609375f, 0.964844f, 0.437500f, 0.812500f}, - {0.175781f, 0.296875f, 0.781250f, 0.894531f}, {0.929688f, 0.691406f, 0.289062f, 0.468750f}, - {0.238281f, 0.234375f, 0.382812f, 0.347656f}, {0.093750f, 0.054688f, 0.160156f, 0.652344f}, - {0.914062f, 0.750000f, 0.656250f, 0.035156f}, {0.445312f, 0.863281f, 0.320312f, 0.187500f}, - {0.167969f, 0.199219f, 0.519531f, 0.828125f}, {0.070312f, 0.703125f, 0.117188f, 0.644531f}, - {0.371094f, 0.382812f, 0.386719f, 0.289062f}, {0.949219f, 0.601562f, 0.917969f, 0.144531f}, - {0.675781f, 0.218750f, 0.476562f, 0.394531f}, {0.867188f, 0.550781f, 0.988281f, 0.933594f}, - {0.585938f, 0.960938f, 0.003906f, 0.199219f}, {0.753906f, 0.339844f, 0.328125f, 0.371094f}, - {0.078125f, 0.914062f, 0.773438f, 0.796875f}, {0.542969f, 0.593750f, 0.488281f, 0.308594f}, - {0.449219f, 0.683594f, 0.148438f, 0.558594f}, {0.289062f, 0.218750f, 0.406250f, 0.402344f}, - {0.582031f, 0.281250f, 0.589844f, 0.929688f}, {0.828125f, 0.734375f, 0.941406f, 0.714844f}, - {0.460938f, 0.867188f, 0.449219f, 0.832031f}, {0.960938f, 0.453125f, 0.660156f, 0.398438f}, - {0.027344f, 0.757812f, 0.234375f, 0.230469f}, {0.742188f, 0.972656f, 0.730469f, 0.468750f}, - {0.488281f, 0.429688f, 0.128906f, 0.640625f}, {0.839844f, 0.722656f, 0.968750f, 0.960938f}, - {0.558594f, 0.484375f, 0.664062f, 0.742188f}, {0.039062f, 0.964844f, 0.894531f, 0.390625f}, - {0.812500f, 0.753906f, 0.183594f, 0.503906f}, {0.335938f, 0.281250f, 0.417969f, 0.757812f}, - {0.441406f, 0.035156f, 0.726562f, 0.878906f}, {0.019531f, 0.496094f, 0.347656f, 0.269531f}, - {0.921875f, 0.777344f, 0.867188f, 0.175781f}, {0.679688f, 0.859375f, 0.074219f, 0.605469f}, - {0.355469f, 0.242188f, 0.449219f, 0.433594f}, {0.175781f, 0.363281f, 0.656250f, 0.765625f}, - {0.515625f, 0.898438f, 0.003906f, 0.246094f}, {0.613281f, 0.152344f, 0.468750f, 0.894531f}, - {0.386719f, 0.402344f, 0.523438f, 0.566406f}, {0.066406f, 0.613281f, 0.062500f, 0.988281f}, - {0.765625f, 0.347656f, 0.390625f, 0.449219f}, {0.851562f, 0.843750f, 0.203125f, 0.875000f}, - {0.054688f, 0.445312f, 0.441406f, 0.750000f}, {0.929688f, 0.992188f, 0.644531f, 0.937500f}, - {0.769531f, 0.554688f, 0.000000f, 0.597656f}, {0.632812f, 0.234375f, 0.132812f, 0.101562f}, - {0.367188f, 0.691406f, 0.867188f, 0.347656f}, {0.425781f, 0.125000f, 0.632812f, 0.261719f}, - {0.183594f, 0.613281f, 0.968750f, 0.691406f}, {0.285156f, 0.250000f, 0.078125f, 0.929688f}, - {0.917969f, 0.320312f, 0.292969f, 0.039062f}, {0.347656f, 0.644531f, 0.800781f, 0.269531f}, - {0.851562f, 0.539062f, 0.019531f, 0.945312f}, {0.515625f, 0.882812f, 0.359375f, 0.070312f}, - {0.218750f, 0.050781f, 0.277344f, 0.886719f}, {0.898438f, 0.242188f, 0.714844f, 0.019531f}, - {0.558594f, 0.441406f, 0.062500f, 0.773438f}, {0.250000f, 0.964844f, 0.390625f, 0.902344f}, - {0.820312f, 0.343750f, 0.226562f, 0.265625f}, {0.343750f, 0.003906f, 0.972656f, 0.832031f}, - {0.757812f, 0.753906f, 0.484375f, 0.316406f}, {0.507812f, 0.234375f, 0.808594f, 0.554688f}, - {0.859375f, 0.410156f, 0.347656f, 0.203125f}, {0.425781f, 0.503906f, 0.140625f, 0.062500f}, - {0.687500f, 0.140625f, 0.496094f, 0.601562f}, {0.292969f, 0.582031f, 0.996094f, 0.093750f}, - {0.828125f, 0.386719f, 0.707031f, 0.300781f}, {0.398438f, 0.980469f, 0.578125f, 0.859375f}, - {0.042969f, 0.496094f, 0.441406f, 0.500000f}, {0.320312f, 0.609375f, 0.777344f, 0.550781f}, - {0.601562f, 0.304688f, 0.945312f, 0.089844f}, {0.851562f, 0.093750f, 0.269531f, 0.234375f}, - {0.492188f, 0.988281f, 0.753906f, 0.953125f}, {0.792969f, 0.332031f, 0.175781f, 0.847656f}, - {0.089844f, 0.843750f, 0.726562f, 0.710938f}, {0.183594f, 0.082031f, 0.277344f, 0.246094f}, - {0.476562f, 0.714844f, 0.566406f, 0.039062f}, {0.925781f, 0.187500f, 0.835938f, 0.878906f}, - {0.035156f, 0.109375f, 0.214844f, 0.691406f}, {0.695312f, 0.464844f, 0.621094f, 0.007812f}, - {0.949219f, 0.023438f, 0.968750f, 0.472656f}, {0.136719f, 0.558594f, 0.800781f, 0.769531f}, - {0.773438f, 0.410156f, 0.679688f, 0.066406f}, {0.519531f, 0.816406f, 0.320312f, 0.644531f}, - {0.683594f, 0.066406f, 0.171875f, 0.296875f}, {0.867188f, 0.253906f, 0.820312f, 0.125000f}, - {0.386719f, 0.523438f, 0.054688f, 0.562500f}, {0.332031f, 0.156250f, 0.601562f, 0.863281f}, - {0.648438f, 0.851562f, 0.796875f, 0.281250f}, {0.214844f, 0.644531f, 0.269531f, 0.425781f}, - {0.417969f, 0.023438f, 0.390625f, 0.140625f}, {0.917969f, 0.132812f, 0.082031f, 0.902344f}, - {0.617188f, 0.664062f, 0.496094f, 0.093750f}, {0.101562f, 0.578125f, 0.589844f, 0.207031f}, - {0.996094f, 0.222656f, 0.015625f, 0.414062f}, {0.199219f, 0.996094f, 0.949219f, 0.824219f}, - {0.398438f, 0.316406f, 0.757812f, 0.480469f}, {0.605469f, 0.550781f, 0.562500f, 0.929688f}, - {0.246094f, 0.085938f, 0.300781f, 0.855469f}, {0.832031f, 0.648438f, 0.363281f, 0.128906f}, - {0.914062f, 0.757812f, 0.914062f, 0.699219f}, {0.691406f, 0.566406f, 0.828125f, 0.410156f}, - {0.980469f, 0.292969f, 0.121094f, 0.007812f}, {0.457031f, 0.742188f, 0.949219f, 0.730469f}, - {0.648438f, 0.914062f, 0.714844f, 0.148438f}, {0.257812f, 0.511719f, 0.566406f, 0.503906f}, - {0.527344f, 0.082031f, 0.105469f, 0.375000f}, {0.398438f, 0.707031f, 0.285156f, 0.019531f}, - {0.300781f, 0.183594f, 0.359375f, 0.230469f}, {0.222656f, 0.355469f, 0.933594f, 0.867188f}, - {0.867188f, 0.500000f, 0.476562f, 0.167969f}, {0.964844f, 0.945312f, 0.257812f, 0.636719f}, - {0.683594f, 0.386719f, 0.171875f, 0.535156f}, {0.601562f, 0.074219f, 0.710938f, 0.781250f}, - {0.484375f, 0.785156f, 0.414062f, 0.359375f}, {0.074219f, 0.214844f, 0.503906f, 0.742188f}, - {0.167969f, 0.113281f, 0.144531f, 0.609375f}, {0.640625f, 0.378906f, 0.746094f, 0.800781f}, - {0.304688f, 0.949219f, 0.851562f, 0.507812f}, {0.750000f, 0.507812f, 0.613281f, 0.339844f}, - {0.082031f, 0.671875f, 0.894531f, 0.656250f}, {0.660156f, 0.195312f, 0.324219f, 0.410156f}, - {0.414062f, 0.281250f, 0.824219f, 0.722656f}, {0.703125f, 0.640625f, 0.085938f, 0.167969f}, - {0.597656f, 0.464844f, 0.718750f, 0.437500f}, {0.140625f, 0.578125f, 0.253906f, 0.863281f}, - {0.207031f, 0.667969f, 0.546875f, 0.921875f}, {0.968750f, 0.042969f, 0.679688f, 0.667969f}, - {0.531250f, 0.875000f, 0.218750f, 0.410156f}, {0.117188f, 0.761719f, 0.000000f, 0.164062f}, - {0.488281f, 0.179688f, 0.894531f, 0.800781f}, {0.562500f, 0.660156f, 0.238281f, 0.722656f}, - {0.789062f, 0.265625f, 0.050781f, 0.125000f}, {0.664062f, 0.007812f, 0.835938f, 0.992188f}, - {0.996094f, 0.894531f, 0.410156f, 0.375000f}, {0.753906f, 0.566406f, 0.636719f, 0.757812f}, - {0.234375f, 0.804688f, 0.550781f, 0.437500f}, {0.562500f, 0.046875f, 0.082031f, 0.074219f}, - {0.343750f, 0.757812f, 0.359375f, 0.597656f}, {0.726562f, 0.429688f, 0.863281f, 0.480469f}, - {0.257812f, 0.875000f, 0.136719f, 0.753906f}, {0.816406f, 0.261719f, 0.437500f, 0.429688f}, - {0.332031f, 0.390625f, 0.089844f, 0.273438f}, {0.382812f, 0.742188f, 0.351562f, 0.621094f}, - {0.222656f, 0.890625f, 0.027344f, 0.839844f}, {0.890625f, 0.093750f, 0.246094f, 0.988281f}, - {0.011719f, 0.968750f, 0.539062f, 0.203125f}, {0.316406f, 0.484375f, 0.074219f, 0.363281f}, - {0.238281f, 0.187500f, 0.500000f, 0.496094f}, {0.105469f, 0.660156f, 0.996094f, 0.796875f}, - {0.777344f, 0.386719f, 0.414062f, 0.167969f}, {0.531250f, 0.589844f, 0.308594f, 0.730469f}, - {0.976562f, 0.347656f, 0.871094f, 0.027344f}, {0.125000f, 0.261719f, 0.468750f, 0.691406f}, - {0.710938f, 0.910156f, 0.703125f, 0.531250f}, {0.468750f, 0.812500f, 0.328125f, 0.250000f}, - {0.277344f, 0.441406f, 0.765625f, 0.667969f}, {0.535156f, 0.375000f, 0.917969f, 0.972656f}, - {0.648438f, 0.074219f, 0.292969f, 0.324219f}, {0.785156f, 0.687500f, 0.156250f, 0.710938f}, - {0.304688f, 0.136719f, 0.484375f, 0.011719f}, {0.089844f, 0.714844f, 0.113281f, 0.652344f}, - {0.769531f, 0.453125f, 0.992188f, 0.214844f}, {0.437500f, 0.199219f, 0.703125f, 0.328125f}, - {0.003906f, 0.980469f, 0.171875f, 0.488281f}, {0.300781f, 0.476562f, 0.410156f, 0.621094f}, - {0.218750f, 0.695312f, 0.218750f, 0.843750f}, {0.140625f, 0.058594f, 0.652344f, 0.222656f}, - {0.347656f, 0.199219f, 0.320312f, 0.335938f}, {0.945312f, 0.652344f, 0.863281f, 0.652344f}, - {0.703125f, 0.312500f, 0.976562f, 0.808594f}, {0.171875f, 0.585938f, 0.753906f, 0.292969f}, - {0.906250f, 0.863281f, 0.808594f, 0.683594f}, {0.082031f, 0.781250f, 0.582031f, 0.488281f}, - {0.562500f, 0.007812f, 0.691406f, 0.988281f}, {0.734375f, 0.886719f, 0.332031f, 0.406250f}, - {0.000000f, 0.730469f, 0.550781f, 0.894531f}, {0.234375f, 0.460938f, 0.894531f, 0.117188f}, - {0.761719f, 0.929688f, 0.207031f, 0.492188f}, {0.957031f, 0.683594f, 0.933594f, 0.441406f}, - {0.386719f, 0.828125f, 0.644531f, 0.152344f}, {0.718750f, 0.593750f, 0.246094f, 0.394531f}, - {0.011719f, 0.308594f, 0.484375f, 0.242188f}, {0.839844f, 0.851562f, 0.113281f, 0.972656f}, - {0.359375f, 0.765625f, 0.195312f, 0.199219f}, {0.957031f, 0.406250f, 0.933594f, 0.531250f}, - {0.175781f, 0.117188f, 0.535156f, 0.054688f}, {0.039062f, 0.863281f, 0.648438f, 0.992188f}, - {0.285156f, 0.996094f, 0.152344f, 0.648438f}, {0.898438f, 0.074219f, 0.410156f, 0.117188f}, - {0.375000f, 0.808594f, 0.929688f, 0.507812f}, {0.777344f, 0.347656f, 0.761719f, 0.277344f}, - {0.007812f, 0.937500f, 0.617188f, 0.757812f}, {0.339844f, 0.433594f, 0.816406f, 0.972656f}, - {0.718750f, 0.085938f, 0.328125f, 0.621094f}, {0.957031f, 0.921875f, 0.542969f, 0.250000f}, - {0.214844f, 0.460938f, 0.132812f, 0.421875f}, {0.128906f, 0.734375f, 0.691406f, 0.882812f}, - {0.277344f, 0.398438f, 0.195312f, 0.312500f}, {0.011719f, 0.179688f, 0.011719f, 0.667969f}, - {0.406250f, 0.476562f, 0.960938f, 0.566406f}, {0.140625f, 0.644531f, 0.796875f, 0.175781f}, - {0.898438f, 0.277344f, 0.222656f, 0.343750f}, {0.433594f, 0.156250f, 0.675781f, 0.980469f}, - {0.613281f, 0.664062f, 0.601562f, 0.125000f}, {0.117188f, 0.539062f, 0.953125f, 0.546875f}, - {0.511719f, 0.820312f, 0.722656f, 0.914062f}, {0.859375f, 0.625000f, 0.902344f, 0.156250f}, - {0.593750f, 0.355469f, 0.464844f, 0.332031f}, {0.421875f, 0.167969f, 0.871094f, 0.101562f}, - {0.730469f, 0.707031f, 0.714844f, 0.582031f}, {0.996094f, 0.613281f, 0.375000f, 0.746094f}, - {0.156250f, 0.328125f, 0.769531f, 0.039062f}, {0.625000f, 0.929688f, 0.628906f, 0.949219f}, - {0.449219f, 0.113281f, 0.910156f, 0.625000f}, {0.257812f, 0.800781f, 0.562500f, 0.339844f}, - {0.046875f, 0.054688f, 0.031250f, 0.996094f}, {0.792969f, 0.496094f, 0.160156f, 0.195312f}, - {0.324219f, 0.562500f, 0.929688f, 0.847656f}, {0.175781f, 0.203125f, 0.210938f, 0.789062f}, - {0.863281f, 0.304688f, 0.847656f, 0.468750f}, {0.746094f, 0.925781f, 0.070312f, 0.609375f}, - {0.136719f, 0.843750f, 0.675781f, 0.156250f}, {0.886719f, 0.605469f, 0.390625f, 0.562500f}, - {0.519531f, 0.414062f, 0.636719f, 0.113281f}, {0.710938f, 0.910156f, 0.214844f, 0.375000f}, - {0.964844f, 0.808594f, 0.785156f, 0.531250f}, {0.128906f, 0.281250f, 0.066406f, 0.957031f}, - {0.488281f, 0.031250f, 0.609375f, 0.816406f}, {0.750000f, 0.128906f, 0.542969f, 0.101562f}, - {0.550781f, 0.878906f, 0.757812f, 0.281250f}, {0.886719f, 0.250000f, 0.261719f, 0.917969f}, - {0.808594f, 0.417969f, 0.476562f, 0.585938f}, {0.585938f, 0.812500f, 0.156250f, 0.085938f}, - {0.011719f, 0.027344f, 0.042969f, 0.968750f}, {0.445312f, 0.941406f, 0.515625f, 0.429688f}, - {0.671875f, 0.136719f, 0.179688f, 0.136719f}, {0.812500f, 0.640625f, 0.230469f, 0.832031f}, - {0.480469f, 0.433594f, 0.070312f, 0.562500f}, {0.144531f, 0.281250f, 0.789062f, 0.031250f}, - {0.320312f, 0.179688f, 0.023438f, 0.304688f}, {0.886719f, 0.558594f, 0.757812f, 0.234375f}, - {0.445312f, 0.347656f, 0.371094f, 0.968750f}, {0.121094f, 0.039062f, 0.585938f, 0.863281f}, - {0.816406f, 0.421875f, 0.054688f, 0.648438f}, {0.578125f, 0.160156f, 0.992188f, 0.089844f}, - {0.429688f, 0.722656f, 0.402344f, 0.574219f}, {0.148438f, 0.097656f, 0.562500f, 0.835938f}, - {0.613281f, 0.035156f, 0.785156f, 0.117188f}, {0.468750f, 0.605469f, 0.449219f, 0.296875f}, - {0.851562f, 0.800781f, 0.035156f, 0.609375f}, {0.535156f, 0.523438f, 0.367188f, 0.789062f}, - {0.796875f, 0.152344f, 0.863281f, 0.238281f}, {0.667969f, 0.300781f, 0.585938f, 0.343750f}, - {0.074219f, 0.722656f, 0.042969f, 0.714844f}, {0.574219f, 0.199219f, 0.300781f, 0.039062f}, - {0.648438f, 0.269531f, 0.089844f, 0.464844f}, {0.847656f, 0.621094f, 0.402344f, 0.367188f}, - {0.164062f, 0.527344f, 0.457031f, 0.003906f}, {0.617188f, 0.328125f, 0.742188f, 0.566406f}, - {0.367188f, 0.835938f, 0.972656f, 0.195312f}, {0.468750f, 0.136719f, 0.351562f, 0.695312f}, - {0.542969f, 0.679688f, 0.496094f, 0.480469f}, {0.695312f, 0.941406f, 0.855469f, 0.046875f}, - {0.933594f, 0.234375f, 0.312500f, 0.902344f}, {0.640625f, 0.527344f, 0.429688f, 0.804688f}, - {0.832031f, 0.375000f, 0.500000f, 0.640625f}, {0.046875f, 0.949219f, 0.066406f, 0.292969f}, - {0.984375f, 0.460938f, 0.390625f, 0.824219f}, {0.675781f, 0.066406f, 0.179688f, 0.058594f}, - {0.175781f, 0.992188f, 0.531250f, 0.664062f}, {0.785156f, 0.230469f, 0.660156f, 0.511719f}, - {0.089844f, 0.792969f, 0.300781f, 0.242188f}, {0.652344f, 0.292969f, 0.121094f, 0.699219f}, - {0.480469f, 0.535156f, 0.195312f, 0.433594f}, {0.363281f, 0.777344f, 0.933594f, 0.894531f}, - {0.550781f, 0.011719f, 0.273438f, 0.265625f}, {0.886719f, 0.871094f, 0.144531f, 0.410156f}, - {0.937500f, 0.679688f, 0.699219f, 0.515625f}, {0.183594f, 0.214844f, 0.218750f, 0.097656f}, - {0.855469f, 0.988281f, 0.777344f, 0.457031f}, {0.566406f, 0.761719f, 0.519531f, 0.593750f}, - {0.664062f, 0.394531f, 0.593750f, 0.308594f}, {0.960938f, 0.695312f, 0.113281f, 0.070312f}, - {0.007812f, 0.101562f, 0.425781f, 0.359375f}, {0.242188f, 0.742188f, 0.546875f, 0.042969f}, - {0.355469f, 0.480469f, 0.250000f, 0.921875f}, {0.433594f, 0.187500f, 0.828125f, 0.859375f}, - {0.035156f, 0.000000f, 0.894531f, 0.789062f}, {0.218750f, 0.343750f, 0.535156f, 0.285156f}, - {0.558594f, 0.523438f, 0.433594f, 0.734375f}, {0.371094f, 0.625000f, 0.273438f, 0.031250f}, - {0.652344f, 0.835938f, 0.875000f, 0.171875f}, {0.851562f, 0.375000f, 0.332031f, 0.550781f}, - {0.062500f, 0.605469f, 0.968750f, 0.371094f}, {0.417969f, 0.539062f, 0.031250f, 0.460938f}, - {0.097656f, 0.957031f, 0.820312f, 0.761719f}, {0.500000f, 0.750000f, 0.601562f, 0.191406f}, - {0.242188f, 0.472656f, 0.371094f, 0.535156f}, {0.757812f, 0.269531f, 0.660156f, 0.625000f}, - {0.343750f, 0.394531f, 0.453125f, 0.730469f}, {0.613281f, 0.535156f, 0.914062f, 0.332031f}, - {0.265625f, 0.085938f, 0.410156f, 0.097656f}, {0.410156f, 0.835938f, 0.980469f, 0.757812f}, - {0.832031f, 0.664062f, 0.484375f, 0.812500f}, {0.644531f, 0.128906f, 0.664062f, 0.593750f}, - {0.546875f, 0.761719f, 0.109375f, 0.191406f}, {0.207031f, 0.503906f, 0.304688f, 0.007812f}, - {0.667969f, 0.898438f, 0.812500f, 0.300781f}, {0.253906f, 0.230469f, 0.687500f, 0.921875f}, - {0.976562f, 0.468750f, 0.339844f, 0.687500f}, {0.519531f, 0.554688f, 0.003906f, 0.468750f}, - {0.769531f, 0.359375f, 0.632812f, 0.746094f}, {0.230469f, 0.929688f, 0.289062f, 0.933594f}, - {0.109375f, 0.695312f, 0.691406f, 0.367188f}, {0.328125f, 0.242188f, 0.246094f, 0.484375f}, - {0.984375f, 0.429688f, 0.984375f, 0.082031f}, {0.242188f, 0.910156f, 0.464844f, 0.582031f}, - {0.480469f, 0.488281f, 0.199219f, 0.957031f}, {0.300781f, 0.558594f, 0.835938f, 0.816406f}, - {0.437500f, 0.023438f, 0.957031f, 0.214844f}, {0.933594f, 0.687500f, 0.527344f, 0.859375f}, - {0.269531f, 0.800781f, 0.179688f, 0.511719f}, {0.039062f, 0.222656f, 0.871094f, 0.921875f}, - {0.894531f, 0.062500f, 0.628906f, 0.074219f}, {0.746094f, 0.546875f, 0.277344f, 0.820312f}, - {0.863281f, 0.343750f, 0.589844f, 0.265625f}, {0.335938f, 0.855469f, 0.105469f, 0.140625f}, - {0.078125f, 0.109375f, 0.707031f, 0.515625f}, {0.515625f, 0.722656f, 0.617188f, 0.226562f}, - {0.292969f, 0.886719f, 0.878906f, 0.027344f}, {0.214844f, 0.003906f, 0.937500f, 0.699219f}, - {0.554688f, 0.601562f, 0.757812f, 0.402344f}, {0.390625f, 0.324219f, 0.281250f, 0.207031f}, - {0.304688f, 0.128906f, 0.039062f, 0.957031f}, {0.960938f, 0.500000f, 0.808594f, 0.367188f}, - {0.265625f, 0.031250f, 0.406250f, 0.808594f}, {0.054688f, 0.925781f, 0.613281f, 0.871094f}, - {0.195312f, 0.429688f, 0.558594f, 0.539062f}, {0.835938f, 0.136719f, 0.828125f, 0.121094f}, - {0.699219f, 0.242188f, 0.015625f, 0.660156f}, {0.035156f, 0.464844f, 0.480469f, 0.835938f}, - {0.312500f, 0.554688f, 0.320312f, 0.003906f}, {0.738281f, 0.308594f, 0.093750f, 0.785156f}, - {0.484375f, 0.621094f, 0.406250f, 0.890625f}, {0.375000f, 0.160156f, 0.957031f, 0.386719f}, - {0.093750f, 0.882812f, 0.355469f, 0.125000f}, {0.410156f, 0.015625f, 0.644531f, 0.941406f}, - {0.593750f, 0.597656f, 0.722656f, 0.542969f}, {0.492188f, 0.531250f, 0.984375f, 0.734375f}, - {0.683594f, 0.265625f, 0.464844f, 0.398438f}, {0.835938f, 0.968750f, 0.035156f, 0.242188f}, - {0.945312f, 0.761719f, 0.328125f, 0.453125f}, {0.625000f, 0.246094f, 0.730469f, 0.910156f}, - {0.328125f, 0.078125f, 0.937500f, 0.593750f}, {0.902344f, 0.945312f, 0.015625f, 0.425781f}, - {0.171875f, 0.433594f, 0.488281f, 0.687500f}, {0.250000f, 0.312500f, 0.804688f, 0.781250f}, - {0.609375f, 0.781250f, 0.093750f, 0.941406f}, {0.312500f, 0.097656f, 0.687500f, 0.667969f}, - {0.710938f, 0.160156f, 0.425781f, 0.031250f}, {0.164062f, 0.355469f, 0.945312f, 0.878906f}, - {0.968750f, 0.628906f, 0.738281f, 0.261719f}, {0.839844f, 0.218750f, 0.296875f, 0.058594f}, - {0.128906f, 0.902344f, 0.875000f, 0.933594f}, {0.035156f, 0.726562f, 0.113281f, 0.207031f}, - {0.996094f, 0.335938f, 0.625000f, 0.464844f}, {0.531250f, 0.984375f, 0.277344f, 0.660156f}, - {0.066406f, 0.589844f, 0.148438f, 0.367188f}, {0.363281f, 0.242188f, 0.867188f, 0.707031f}, - {0.945312f, 0.953125f, 0.437500f, 0.527344f}, {0.042969f, 0.292969f, 0.535156f, 0.828125f}, - {0.492188f, 0.617188f, 0.175781f, 0.730469f}, {0.332031f, 0.785156f, 0.886719f, 0.351562f}, - {0.875000f, 0.984375f, 0.226562f, 0.179688f}, {0.062500f, 0.269531f, 0.839844f, 0.039062f}, - {0.292969f, 0.875000f, 0.960938f, 0.421875f}, {0.917969f, 0.175781f, 0.167969f, 0.867188f}, - {0.714844f, 0.324219f, 0.753906f, 0.000000f}, {0.593750f, 0.582031f, 0.523438f, 0.671875f}, - {0.421875f, 0.089844f, 0.117188f, 0.910156f}, {0.136719f, 0.652344f, 0.730469f, 0.402344f}, - {0.750000f, 0.363281f, 0.335938f, 0.179688f}, {0.906250f, 0.824219f, 0.660156f, 0.550781f}, - {0.199219f, 0.976562f, 0.128906f, 0.128906f}, {0.101562f, 0.125000f, 0.714844f, 0.664062f}, - {0.800781f, 0.378906f, 0.257812f, 0.296875f}, {0.515625f, 0.890625f, 0.027344f, 0.773438f}, - {0.414062f, 0.605469f, 0.082031f, 0.351562f}, {0.070312f, 0.765625f, 0.804688f, 0.585938f}, - {0.187500f, 0.433594f, 0.910156f, 0.968750f}, {0.796875f, 0.031250f, 0.468750f, 0.726562f}, - {0.457031f, 0.589844f, 0.156250f, 0.410156f}, {0.160156f, 0.312500f, 0.257812f, 0.949219f}, - {0.718750f, 0.785156f, 0.027344f, 0.363281f}, {0.773438f, 0.210938f, 0.554688f, 0.863281f}, - {0.476562f, 0.683594f, 0.335938f, 0.488281f}, {0.007812f, 0.765625f, 0.839844f, 0.769531f}, - {0.707031f, 0.859375f, 0.488281f, 0.605469f}, {0.445312f, 0.406250f, 0.230469f, 0.082031f}, - {0.566406f, 0.675781f, 0.746094f, 0.464844f}, {0.757812f, 0.582031f, 0.957031f, 0.023438f}, - {0.925781f, 0.843750f, 0.066406f, 0.183594f}, {0.281250f, 0.367188f, 0.429688f, 0.976562f}, - {0.125000f, 0.957031f, 0.644531f, 0.324219f}, {0.421875f, 0.746094f, 0.757812f, 0.214844f}, - {0.675781f, 0.410156f, 0.976562f, 0.933594f}, {0.074219f, 0.914062f, 0.851562f, 0.558594f}, - {0.617188f, 0.070312f, 0.667969f, 0.238281f}, {0.910156f, 0.457031f, 0.246094f, 0.742188f}, - {0.285156f, 0.335938f, 0.824219f, 0.636719f}, {0.722656f, 0.832031f, 0.007812f, 0.828125f}, - {0.816406f, 0.949219f, 0.289062f, 0.273438f}, {0.925781f, 0.152344f, 0.148438f, 0.675781f}, - {0.085938f, 0.359375f, 0.789062f, 0.187500f}, {0.277344f, 0.640625f, 0.585938f, 0.507812f}, - {0.164062f, 0.867188f, 0.105469f, 0.640625f}, {0.457031f, 0.570312f, 0.183594f, 0.050781f}, - {0.789062f, 0.675781f, 0.371094f, 0.203125f}, {0.050781f, 0.164062f, 0.675781f, 0.996094f}, - {0.726562f, 0.718750f, 0.152344f, 0.316406f}, {0.992188f, 0.210938f, 0.578125f, 0.066406f}, - {0.464844f, 0.894531f, 0.386719f, 0.242188f}, {0.792969f, 0.500000f, 0.203125f, 0.140625f}, - {0.925781f, 0.687500f, 0.527344f, 0.414062f}, {0.644531f, 0.062500f, 0.132812f, 0.824219f}, - {0.289062f, 0.847656f, 0.234375f, 0.492188f}, {0.390625f, 0.570312f, 0.054688f, 0.394531f}, - {0.554688f, 0.042969f, 0.546875f, 0.890625f}, {0.917969f, 0.796875f, 0.695312f, 0.589844f}, - {0.203125f, 0.207031f, 0.839844f, 0.273438f}, {0.773438f, 0.484375f, 0.355469f, 0.960938f}, - {0.699219f, 0.035156f, 0.593750f, 0.152344f}, {0.171875f, 0.410156f, 0.218750f, 0.050781f}, - {0.289062f, 0.824219f, 0.921875f, 0.406250f}, {0.851562f, 0.078125f, 0.765625f, 0.261719f}, - {0.781250f, 0.703125f, 0.066406f, 0.457031f}, {0.105469f, 0.000000f, 0.460938f, 0.546875f}, - {0.695312f, 0.140625f, 0.734375f, 0.792969f}, {0.187500f, 0.660156f, 0.515625f, 0.632812f}, - {0.636719f, 0.433594f, 0.085938f, 0.257812f}, {0.402344f, 0.500000f, 0.425781f, 0.562500f}, - {0.003906f, 0.019531f, 0.890625f, 0.214844f}, {0.878906f, 0.953125f, 0.816406f, 0.156250f}, - {0.503906f, 0.847656f, 0.058594f, 0.835938f}, {0.062500f, 0.746094f, 0.617188f, 0.738281f}, - {0.839844f, 0.058594f, 0.902344f, 0.312500f}, {0.691406f, 0.171875f, 0.496094f, 0.640625f}, - {0.390625f, 0.417969f, 0.378906f, 0.433594f}, {0.593750f, 0.742188f, 0.578125f, 0.945312f}, - {0.734375f, 0.484375f, 0.917969f, 0.722656f}, {0.316406f, 0.289062f, 0.667969f, 0.113281f}, - {0.675781f, 0.164062f, 0.429688f, 0.460938f}, {0.972656f, 0.984375f, 0.371094f, 0.628906f}, - {0.628906f, 0.257812f, 0.218750f, 0.015625f}, {0.242188f, 0.656250f, 0.773438f, 0.320312f}, - {0.589844f, 0.957031f, 0.984375f, 0.777344f}, {0.957031f, 0.492188f, 0.402344f, 0.550781f}, - {0.359375f, 0.144531f, 0.726562f, 0.105469f}, {0.859375f, 0.425781f, 0.203125f, 0.582031f}, - {0.113281f, 0.921875f, 0.128906f, 0.261719f}, {0.933594f, 0.253906f, 0.628906f, 0.144531f}, - {0.812500f, 0.570312f, 0.992188f, 0.890625f}, {0.148438f, 0.179688f, 0.093750f, 0.308594f}, - {0.894531f, 0.734375f, 0.160156f, 0.734375f}, {0.339844f, 0.269531f, 0.343750f, 0.628906f}, - {0.621094f, 0.089844f, 0.500000f, 0.394531f}, {0.523438f, 0.644531f, 0.906250f, 0.773438f}, - {0.796875f, 0.507812f, 0.203125f, 0.480469f}, {0.582031f, 0.042969f, 0.367188f, 0.710938f}, + {0.367188f, 0.855469f, 0.523438f, 0.375000f}, {0.242188f, 0.699219f, 0.164062f, 0.292969f}, + {0.828125f, 0.257812f, 0.449219f, 0.679688f}, {0.128906f, 0.523438f, 0.058594f, 0.164062f}, + {0.214844f, 0.648438f, 0.750000f, 0.492188f}, {0.535156f, 0.226562f, 0.492188f, 0.429688f}, + {0.050781f, 0.425781f, 0.886719f, 0.019531f}, {0.199219f, 0.785156f, 0.378906f, 0.984375f}, + {0.390625f, 0.039062f, 0.222656f, 0.777344f}, {0.574219f, 0.460938f, 0.687500f, 0.085938f}, + {0.757812f, 0.117188f, 0.968750f, 0.343750f}, {0.109375f, 0.398438f, 0.500000f, 0.871094f}, + {0.871094f, 0.796875f, 0.628906f, 0.132812f}, {0.289062f, 0.480469f, 0.851562f, 0.484375f}, + {0.519531f, 0.035156f, 0.234375f, 0.832031f}, {0.390625f, 0.558594f, 0.738281f, 0.636719f}, + {0.015625f, 0.648438f, 0.910156f, 0.507812f}, {0.199219f, 0.257812f, 0.640625f, 0.578125f}, + {0.359375f, 0.976562f, 0.855469f, 0.726562f}, {0.523438f, 0.445312f, 0.335938f, 0.304688f}, + {0.046875f, 0.296875f, 0.921875f, 0.687500f}, {0.476562f, 0.929688f, 0.777344f, 0.164062f}, + {0.726562f, 0.515625f, 0.398438f, 0.781250f}, {0.652344f, 0.156250f, 0.191406f, 0.015625f}, + {0.300781f, 0.695312f, 0.011719f, 0.417969f}, {0.433594f, 0.882812f, 0.738281f, 0.843750f}, + {0.890625f, 0.308594f, 0.523438f, 0.496094f}, {0.589844f, 0.730469f, 0.050781f, 0.886719f}, + {0.738281f, 0.539062f, 0.683594f, 0.640625f}, {0.421875f, 0.191406f, 0.265625f, 0.996094f}, + {0.609375f, 0.339844f, 0.617188f, 0.066406f}, {0.371094f, 0.398438f, 0.378906f, 0.898438f}, + {0.937500f, 0.578125f, 0.136719f, 0.136719f}, {0.453125f, 0.820312f, 0.664062f, 0.968750f}, + {0.828125f, 0.070312f, 0.316406f, 0.328125f}, {0.558594f, 0.714844f, 0.593750f, 0.714844f}, + {0.351562f, 0.781250f, 0.355469f, 0.804688f}, {0.203125f, 0.398438f, 0.214844f, 0.519531f}, + {0.785156f, 0.207031f, 0.398438f, 0.453125f}, {0.617188f, 0.289062f, 0.281250f, 0.257812f}, + {0.171875f, 0.609375f, 0.792969f, 0.027344f}, {0.539062f, 0.871094f, 0.007812f, 0.886719f}, + {0.019531f, 0.246094f, 0.226562f, 0.363281f}, {0.988281f, 0.582031f, 0.777344f, 0.054688f}, + {0.468750f, 0.933594f, 0.312500f, 0.246094f}, {0.218750f, 0.015625f, 0.851562f, 0.167969f}, + {0.566406f, 0.699219f, 0.519531f, 0.902344f}, {0.125000f, 0.507812f, 0.136719f, 0.386719f}, + {0.296875f, 0.812500f, 0.558594f, 0.203125f}, {0.402344f, 0.199219f, 0.058594f, 0.875000f}, + {0.898438f, 0.386719f, 0.664062f, 0.660156f}, {0.027344f, 0.078125f, 0.296875f, 0.453125f}, + {0.667969f, 0.828125f, 0.808594f, 0.171875f}, {0.257812f, 0.535156f, 0.464844f, 0.914062f}, + {0.597656f, 0.363281f, 0.886719f, 0.718750f}, {0.332031f, 0.042969f, 0.683594f, 0.003906f}, + {0.632812f, 0.480469f, 0.429688f, 0.425781f}, {0.226562f, 0.910156f, 0.566406f, 0.558594f}, + {0.496094f, 0.062500f, 0.863281f, 0.226562f}, {0.105469f, 0.976562f, 0.707031f, 0.941406f}, + {0.394531f, 0.203125f, 0.285156f, 0.277344f}, {0.003906f, 0.804688f, 0.781250f, 0.050781f}, + {0.210938f, 0.289062f, 0.117188f, 0.601562f}, {0.972656f, 0.179688f, 0.589844f, 0.144531f}, + {0.152344f, 0.359375f, 0.730469f, 0.449219f}, {0.765625f, 0.105469f, 0.292969f, 0.101562f}, + {0.519531f, 0.812500f, 0.617188f, 0.976562f}, {0.988281f, 0.960938f, 0.902344f, 0.054688f}, + {0.457031f, 0.738281f, 0.335938f, 0.875000f}, {0.871094f, 0.121094f, 0.195312f, 0.210938f}, + {0.781250f, 0.296875f, 0.539062f, 0.585938f}, {0.636719f, 0.667969f, 0.621094f, 0.328125f}, + {0.324219f, 0.929688f, 0.855469f, 0.148438f}, {0.984375f, 0.718750f, 0.421875f, 0.824219f}, + {0.500000f, 0.308594f, 0.757812f, 0.699219f}, {0.664062f, 0.214844f, 0.269531f, 0.558594f}, + {0.414062f, 0.984375f, 0.074219f, 0.757812f}, {0.589844f, 0.339844f, 0.925781f, 0.273438f}, + {0.089844f, 0.847656f, 0.316406f, 0.398438f}, {0.695312f, 0.921875f, 0.460938f, 0.890625f}, + {0.894531f, 0.093750f, 0.113281f, 0.347656f}, {0.562500f, 0.386719f, 0.289062f, 0.964844f}, + {0.121094f, 0.820312f, 0.003906f, 0.214844f}, {0.765625f, 0.187500f, 0.710938f, 0.914062f}, + {0.878906f, 0.773438f, 0.445312f, 0.078125f}, {0.218750f, 0.117188f, 0.613281f, 0.617188f}, + {0.085938f, 0.652344f, 0.996094f, 0.339844f}, {0.863281f, 0.359375f, 0.496094f, 0.531250f}, + {0.148438f, 0.437500f, 0.320312f, 0.695312f}, {0.503906f, 0.613281f, 0.792969f, 0.082031f}, + {0.097656f, 0.109375f, 0.960938f, 0.238281f}, {0.246094f, 0.914062f, 0.414062f, 0.328125f}, + {0.011719f, 0.648438f, 0.828125f, 0.738281f}, {0.980469f, 0.457031f, 0.343750f, 0.117188f}, + {0.140625f, 0.937500f, 0.976562f, 0.601562f}, {0.234375f, 0.867188f, 0.574219f, 0.230469f}, + {0.542969f, 0.519531f, 0.902344f, 0.402344f}, {0.027344f, 0.300781f, 0.253906f, 0.503906f}, + {0.757812f, 0.964844f, 0.949219f, 0.058594f}, {0.152344f, 0.234375f, 0.039062f, 0.925781f}, + {0.687500f, 0.628906f, 0.492188f, 0.386719f}, {0.929688f, 0.546875f, 0.667969f, 0.109375f}, + {0.269531f, 0.136719f, 0.964844f, 0.617188f}, {0.320312f, 0.464844f, 0.542969f, 0.972656f}, + {0.960938f, 0.960938f, 0.171875f, 0.093750f}, {0.355469f, 0.523438f, 0.429688f, 0.765625f}, + {0.246094f, 0.328125f, 0.992188f, 0.496094f}, {0.648438f, 0.074219f, 0.097656f, 0.605469f}, + {0.144531f, 0.648438f, 0.476562f, 0.808594f}, {0.855469f, 0.832031f, 0.195312f, 0.546875f}, + {0.925781f, 0.414062f, 0.960938f, 0.675781f}, {0.000000f, 0.113281f, 0.746094f, 0.835938f}, + {0.828125f, 0.324219f, 0.613281f, 0.500000f}, {0.699219f, 0.738281f, 0.332031f, 0.125000f}, + {0.542969f, 0.906250f, 0.898438f, 0.250000f}, {0.105469f, 0.632812f, 0.511719f, 0.062500f}, + {0.433594f, 0.273438f, 0.097656f, 0.816406f}, {0.511719f, 0.707031f, 0.593750f, 0.632812f}, + {0.179688f, 0.980469f, 0.367188f, 0.335938f}, {0.882812f, 0.113281f, 0.031250f, 0.980469f}, + {0.410156f, 0.656250f, 0.253906f, 0.675781f}, {0.039062f, 0.300781f, 0.785156f, 0.800781f}, + {0.695312f, 0.382812f, 0.386719f, 0.156250f}, {0.847656f, 0.457031f, 0.000000f, 0.847656f}, + {0.945312f, 0.542969f, 0.664062f, 0.683594f}, {0.730469f, 0.707031f, 0.238281f, 0.535156f}, + {0.472656f, 0.921875f, 0.871094f, 0.910156f}, {0.867188f, 0.601562f, 0.031250f, 0.812500f}, + {0.632812f, 0.769531f, 0.925781f, 0.625000f}, {0.433594f, 0.558594f, 0.078125f, 0.851562f}, + {0.015625f, 0.187500f, 0.792969f, 0.515625f}, {0.343750f, 0.386719f, 0.562500f, 0.773438f}, + {0.679688f, 0.035156f, 0.121094f, 0.347656f}, {0.300781f, 0.582031f, 0.703125f, 0.660156f}, + {0.152344f, 0.878906f, 0.929688f, 0.902344f}, {0.433594f, 0.507812f, 0.093750f, 0.460938f}, + {0.714844f, 0.171875f, 0.042969f, 0.531250f}, {0.828125f, 0.550781f, 0.312500f, 0.945312f}, + {0.011719f, 0.894531f, 0.136719f, 0.417969f}, {0.257812f, 0.046875f, 0.562500f, 0.226562f}, + {0.187500f, 0.601562f, 0.800781f, 0.929688f}, {0.949219f, 0.128906f, 0.437500f, 0.613281f}, + {0.816406f, 0.277344f, 0.054688f, 0.035156f}, {0.226562f, 0.425781f, 0.542969f, 0.183594f}, + {0.628906f, 0.750000f, 0.984375f, 0.113281f}, {0.839844f, 0.003906f, 0.792969f, 0.796875f}, + {0.269531f, 0.324219f, 0.496094f, 0.003906f}, {0.683594f, 0.601562f, 0.574219f, 0.546875f}, + {0.957031f, 0.703125f, 0.164062f, 0.378906f}, {0.605469f, 0.398438f, 0.078125f, 0.855469f}, + {0.449219f, 0.250000f, 0.257812f, 0.988281f}, {0.367188f, 0.964844f, 0.859375f, 0.195312f}, + {0.820312f, 0.007812f, 0.125000f, 0.753906f}, {0.625000f, 0.832031f, 0.453125f, 0.609375f}, + {0.929688f, 0.230469f, 0.246094f, 0.925781f}, {0.394531f, 0.375000f, 0.097656f, 0.550781f}, + {0.558594f, 0.148438f, 0.183594f, 0.191406f}, {0.480469f, 0.796875f, 0.488281f, 0.785156f}, + {0.714844f, 0.250000f, 0.011719f, 0.296875f}, {0.660156f, 0.085938f, 0.804688f, 0.691406f}, + {0.890625f, 0.695312f, 0.101562f, 0.855469f}, {0.320312f, 0.195312f, 0.441406f, 0.761719f}, + {0.265625f, 0.375000f, 0.765625f, 0.191406f}, {0.996094f, 0.113281f, 0.832031f, 0.585938f}, + {0.101562f, 0.882812f, 0.152344f, 0.285156f}, {0.468750f, 0.332031f, 0.722656f, 0.882812f}, + {0.656250f, 0.816406f, 0.105469f, 0.339844f}, {0.035156f, 0.703125f, 0.855469f, 0.687500f}, + {0.738281f, 0.003906f, 0.601562f, 0.566406f}, {0.441406f, 0.664062f, 0.703125f, 0.843750f}, + {0.875000f, 0.789062f, 0.839844f, 0.187500f}, {0.781250f, 0.457031f, 0.640625f, 0.996094f}, + {0.050781f, 0.210938f, 0.355469f, 0.332031f}, {0.363281f, 0.351562f, 0.039062f, 0.421875f}, + {0.429688f, 0.550781f, 0.699219f, 0.089844f}, {0.753906f, 0.917969f, 0.269531f, 0.285156f}, + {0.496094f, 0.058594f, 0.929688f, 0.980469f}, {0.343750f, 0.445312f, 0.445312f, 0.566406f}, + {0.152344f, 0.160156f, 0.003906f, 0.750000f}, {0.738281f, 0.570312f, 0.847656f, 0.941406f}, + {0.808594f, 0.027344f, 0.167969f, 0.292969f}, {0.992188f, 0.867188f, 0.921875f, 0.519531f}, + {0.074219f, 0.187500f, 0.761719f, 0.199219f}, {0.750000f, 0.597656f, 0.312500f, 0.472656f}, + {0.277344f, 0.753906f, 0.945312f, 0.089844f}, {0.796875f, 0.820312f, 0.511719f, 0.375000f}, + {0.542969f, 0.878906f, 0.191406f, 0.503906f}, {0.175781f, 0.632812f, 0.597656f, 0.109375f}, + {0.257812f, 0.335938f, 0.980469f, 0.339844f}, {0.664062f, 0.000000f, 0.542969f, 0.417969f}, + {0.324219f, 0.144531f, 0.410156f, 0.078125f}, {0.062500f, 0.437500f, 0.472656f, 0.250000f}, + {0.925781f, 0.058594f, 0.636719f, 0.332031f}, {0.269531f, 0.671875f, 0.234375f, 0.175781f}, + {0.714844f, 0.285156f, 0.382812f, 0.574219f}, {0.570312f, 0.906250f, 0.988281f, 0.414062f}, + {0.097656f, 0.460938f, 0.425781f, 0.257812f}, {0.953125f, 0.796875f, 0.265625f, 0.117188f}, + {0.589844f, 0.367188f, 0.777344f, 0.746094f}, {0.035156f, 0.082031f, 0.457031f, 0.062500f}, + {0.226562f, 0.253906f, 0.953125f, 0.628906f}, {0.527344f, 0.417969f, 0.519531f, 0.261719f}, + {0.132812f, 0.812500f, 0.828125f, 0.000000f}, {0.906250f, 0.660156f, 0.386719f, 0.367188f}, + {0.742188f, 0.500000f, 0.207031f, 0.093750f}, {0.359375f, 0.769531f, 0.609375f, 0.718750f}, + {0.480469f, 0.695312f, 0.679688f, 0.539062f}, {0.144531f, 0.179688f, 0.757812f, 0.765625f}, + {0.332031f, 0.625000f, 0.179688f, 0.679688f}, {0.445312f, 0.492188f, 0.378906f, 0.425781f}, + {0.035156f, 0.550781f, 0.230469f, 0.476562f}, {0.402344f, 0.898438f, 0.898438f, 0.652344f}, + {0.156250f, 0.046875f, 0.820312f, 0.132812f}, {0.328125f, 0.484375f, 0.679688f, 0.246094f}, + {0.746094f, 0.750000f, 0.363281f, 0.453125f}, {0.238281f, 0.863281f, 0.558594f, 0.105469f}, + {0.023438f, 0.289062f, 0.648438f, 0.292969f}, {0.683594f, 0.566406f, 0.906250f, 0.804688f}, + {0.335938f, 0.773438f, 0.601562f, 0.375000f}, {0.781250f, 0.496094f, 0.710938f, 0.023438f}, + {0.847656f, 0.996094f, 0.929688f, 0.425781f}, {0.308594f, 0.027344f, 0.656250f, 0.871094f}, + {0.183594f, 0.625000f, 0.292969f, 0.480469f}, {0.089844f, 0.753906f, 0.164062f, 0.363281f}, + {0.804688f, 0.476562f, 0.687500f, 0.011719f}, {0.503906f, 0.910156f, 0.523438f, 0.644531f}, + {0.605469f, 0.609375f, 0.203125f, 0.441406f}, {0.417969f, 0.742188f, 0.621094f, 0.085938f}, + {0.839844f, 0.441406f, 0.296875f, 0.679688f}, {0.531250f, 0.042969f, 0.929688f, 0.781250f}, + {0.378906f, 0.929688f, 0.460938f, 0.148438f}, {0.902344f, 0.238281f, 0.050781f, 0.222656f}, + {0.570312f, 0.378906f, 0.328125f, 0.390625f}, {0.105469f, 0.121094f, 0.253906f, 0.460938f}, + {0.500000f, 0.906250f, 0.515625f, 0.281250f}, {0.296875f, 0.160156f, 0.148438f, 0.664062f}, + {0.699219f, 0.722656f, 0.757812f, 0.007812f}, {0.539062f, 0.968750f, 0.589844f, 0.914062f}, + {0.253906f, 0.246094f, 0.406250f, 0.769531f}, {0.609375f, 0.613281f, 0.105469f, 0.707031f}, + {0.195312f, 0.687500f, 0.179688f, 0.031250f}, {0.949219f, 0.523438f, 0.785156f, 0.339844f}, + {0.863281f, 0.804688f, 0.234375f, 0.433594f}, {0.230469f, 0.355469f, 0.648438f, 0.687500f}, + {0.304688f, 0.757812f, 0.421875f, 0.378906f}, {0.375000f, 0.464844f, 0.539062f, 0.046875f}, + {0.558594f, 0.324219f, 0.214844f, 0.761719f}, {0.679688f, 0.410156f, 0.074219f, 0.839844f}, + {0.464844f, 0.519531f, 0.710938f, 0.281250f}, {0.968750f, 0.152344f, 0.140625f, 0.925781f}, + {0.359375f, 0.230469f, 0.902344f, 0.609375f}, {0.593750f, 0.097656f, 0.457031f, 0.761719f}, + {0.441406f, 0.785156f, 0.058594f, 0.960938f}, {0.125000f, 0.890625f, 0.312500f, 0.203125f}, + {0.812500f, 0.488281f, 0.804688f, 0.878906f}, {0.558594f, 0.992188f, 0.175781f, 0.742188f}, + {0.179688f, 0.222656f, 0.343750f, 0.039062f}, {0.789062f, 0.871094f, 0.843750f, 0.949219f}, + {0.902344f, 0.503906f, 0.507812f, 0.718750f}, {0.402344f, 0.625000f, 0.027344f, 0.011719f}, + {0.195312f, 0.152344f, 0.605469f, 0.929688f}, {0.753906f, 0.214844f, 0.160156f, 0.839844f}, + {0.488281f, 0.687500f, 0.671875f, 0.390625f}, {0.851562f, 0.992188f, 0.363281f, 0.191406f}, + {0.933594f, 0.617188f, 0.230469f, 0.308594f}, {0.375000f, 0.746094f, 0.656250f, 0.867188f}, + {0.613281f, 0.105469f, 0.898438f, 0.671875f}, {0.316406f, 0.371094f, 0.714844f, 0.503906f}, + {0.687500f, 0.234375f, 0.031250f, 0.808594f}, {0.550781f, 0.957031f, 0.957031f, 0.433594f}, + {0.023438f, 0.539062f, 0.351562f, 0.308594f}, {0.964844f, 0.359375f, 0.261719f, 0.980469f}, + {0.750000f, 0.941406f, 0.863281f, 0.234375f}, {0.906250f, 0.863281f, 0.605469f, 0.863281f}, + {0.503906f, 0.109375f, 0.093750f, 0.289062f}, {0.582031f, 0.238281f, 0.414062f, 0.949219f}, + {0.792969f, 0.992188f, 0.308594f, 0.757812f}, {0.062500f, 0.164062f, 0.039062f, 0.816406f}, + {0.902344f, 0.542969f, 0.933594f, 0.675781f}, {0.554688f, 0.085938f, 0.726562f, 0.507812f}, + {0.984375f, 0.460938f, 0.175781f, 0.890625f}, {0.468750f, 0.179688f, 0.027344f, 0.140625f}, + {0.125000f, 0.679688f, 0.304688f, 0.468750f}, {0.203125f, 0.058594f, 0.531250f, 0.953125f}, + {0.070312f, 0.328125f, 0.375000f, 0.667969f}, {0.746094f, 0.554688f, 0.785156f, 0.578125f}, + {0.917969f, 0.421875f, 0.558594f, 0.089844f}, {0.445312f, 0.289062f, 0.855469f, 0.937500f}, + {0.378906f, 0.156250f, 0.398438f, 0.539062f}, {0.066406f, 0.015625f, 0.335938f, 0.265625f}, + {0.730469f, 0.812500f, 0.878906f, 0.820312f}, {0.191406f, 0.535156f, 0.015625f, 0.988281f}, + {0.046875f, 0.171875f, 0.554688f, 0.484375f}, {0.777344f, 0.656250f, 0.375000f, 0.015625f}, + {0.230469f, 0.488281f, 0.238281f, 0.535156f}, {0.144531f, 0.578125f, 0.750000f, 0.910156f}, + {0.812500f, 0.757812f, 0.910156f, 0.714844f}, {0.207031f, 0.429688f, 0.386719f, 0.042969f}, + {0.945312f, 0.292969f, 0.023438f, 0.136719f}, {0.597656f, 0.859375f, 0.941406f, 0.742188f}, + {0.171875f, 0.593750f, 0.289062f, 0.519531f}, {0.914062f, 0.031250f, 0.886719f, 0.234375f}, + {0.808594f, 0.773438f, 0.824219f, 0.160156f}, {0.082031f, 0.132812f, 0.496094f, 0.464844f}, + {0.664062f, 0.871094f, 0.675781f, 0.597656f}, {0.042969f, 0.289062f, 0.546875f, 0.195312f}, + {0.453125f, 0.996094f, 0.363281f, 0.859375f}, {0.585938f, 0.226562f, 0.718750f, 0.140625f}, + {0.648438f, 0.093750f, 0.277344f, 0.609375f}, {0.035156f, 0.933594f, 0.980469f, 0.898438f}, + {0.910156f, 0.671875f, 0.625000f, 0.410156f}, {0.210938f, 0.246094f, 0.472656f, 0.578125f}, + {0.136719f, 0.960938f, 0.832031f, 0.031250f}, {0.066406f, 0.054688f, 0.656250f, 0.660156f}, + {0.898438f, 0.714844f, 0.347656f, 0.218750f}, {0.765625f, 0.589844f, 0.820312f, 0.449219f}, + {0.023438f, 0.398438f, 0.734375f, 0.011719f}, {0.960938f, 0.253906f, 0.132812f, 0.582031f}, + {0.378906f, 0.644531f, 0.945312f, 0.480469f}, {0.496094f, 0.320312f, 0.683594f, 0.656250f}, + {0.085938f, 0.722656f, 0.105469f, 0.386719f}, {0.316406f, 0.414062f, 0.753906f, 0.226562f}, + {0.046875f, 0.011719f, 0.199219f, 0.464844f}, {0.621094f, 0.968750f, 0.714844f, 0.300781f}, + {0.878906f, 0.726562f, 0.863281f, 0.593750f}, {0.257812f, 0.312500f, 0.324219f, 0.523438f}, + {0.347656f, 0.835938f, 0.816406f, 0.687500f}, {0.074219f, 0.480469f, 0.000000f, 0.972656f}, + {0.656250f, 0.007812f, 0.578125f, 0.785156f}, {0.792969f, 0.914062f, 0.152344f, 0.570312f}, + {0.464844f, 0.292969f, 0.292969f, 0.152344f}, {0.863281f, 0.843750f, 0.101562f, 0.957031f}, + {0.066406f, 0.449219f, 0.484375f, 0.199219f}, {0.437500f, 0.019531f, 0.878906f, 0.886719f}, + {0.800781f, 0.074219f, 0.132812f, 0.136719f}, {0.296875f, 0.800781f, 0.511719f, 0.488281f}, + {0.656250f, 0.253906f, 0.019531f, 0.371094f}, {0.101562f, 0.148438f, 0.726562f, 0.609375f}, + {0.203125f, 0.664062f, 0.660156f, 0.089844f}, {0.976562f, 0.437500f, 0.972656f, 0.175781f}, + {0.289062f, 0.781250f, 0.765625f, 0.578125f}, {0.660156f, 0.343750f, 0.519531f, 0.312500f}, + {0.507812f, 0.625000f, 0.441406f, 0.019531f}, {0.175781f, 0.933594f, 0.230469f, 0.394531f}, + {0.796875f, 0.722656f, 0.824219f, 0.570312f}, {0.277344f, 0.410156f, 0.406250f, 0.226562f}, + {0.597656f, 0.949219f, 0.761719f, 0.707031f}, {0.949219f, 0.609375f, 0.882812f, 0.070312f}, + {0.519531f, 0.859375f, 0.128906f, 0.273438f}, {0.632812f, 0.203125f, 0.042969f, 0.156250f}, + {0.265625f, 0.890625f, 0.449219f, 0.812500f}, {0.585938f, 0.664062f, 0.230469f, 0.210938f}, + {0.968750f, 0.960938f, 0.742188f, 0.726562f}, {0.226562f, 0.339844f, 0.992188f, 0.117188f}, + {0.875000f, 0.410156f, 0.093750f, 0.894531f}, {0.640625f, 0.261719f, 0.710938f, 0.324219f}, + {0.917969f, 0.980469f, 0.425781f, 0.234375f}, {0.308594f, 0.300781f, 0.804688f, 0.628906f}, + {0.589844f, 0.105469f, 0.648438f, 0.421875f}, {0.714844f, 0.847656f, 0.125000f, 0.808594f}, + {0.406250f, 0.187500f, 0.480469f, 0.300781f}, {0.667969f, 0.992188f, 0.679688f, 0.960938f}, + {0.070312f, 0.542969f, 0.800781f, 0.859375f}, {0.835938f, 0.082031f, 0.554688f, 0.578125f}, + {0.398438f, 0.496094f, 0.449219f, 0.402344f}, {0.113281f, 0.398438f, 0.222656f, 0.828125f}, + {0.460938f, 0.308594f, 0.054688f, 0.625000f}, {0.976562f, 0.472656f, 0.984375f, 0.375000f}, + {0.281250f, 0.203125f, 0.312500f, 0.937500f}, {0.386719f, 0.000000f, 0.875000f, 0.785156f}, + {0.785156f, 0.402344f, 0.078125f, 0.527344f}, {0.117188f, 0.644531f, 0.812500f, 0.082031f}, + {0.941406f, 0.503906f, 0.132812f, 0.972656f}, {0.488281f, 0.140625f, 0.023438f, 0.238281f}, + {0.832031f, 0.843750f, 0.859375f, 0.167969f}, {0.335938f, 0.011719f, 0.382812f, 0.730469f}, + {0.628906f, 0.777344f, 0.570312f, 0.875000f}, {0.527344f, 0.355469f, 0.285156f, 0.132812f}, + {0.234375f, 0.472656f, 0.093750f, 0.312500f}, {0.308594f, 0.941406f, 0.214844f, 0.820312f}, + {0.640625f, 0.164062f, 0.628906f, 0.714844f}, {0.871094f, 0.832031f, 0.390625f, 0.156250f}, + {0.218750f, 0.531250f, 0.265625f, 0.289062f}, {0.699219f, 0.117188f, 0.550781f, 0.796875f}, + {0.980469f, 0.578125f, 0.890625f, 0.125000f}, {0.523438f, 0.824219f, 0.460938f, 0.890625f}, + {0.445312f, 0.347656f, 0.285156f, 0.675781f}, {0.816406f, 0.097656f, 0.949219f, 0.781250f}, + {0.140625f, 0.550781f, 0.089844f, 0.160156f}, {0.675781f, 0.421875f, 0.484375f, 0.074219f}, + {0.542969f, 0.062500f, 0.535156f, 0.230469f}, {0.421875f, 0.570312f, 0.886719f, 0.484375f}, + {0.167969f, 0.339844f, 0.734375f, 0.035156f}, {0.277344f, 0.199219f, 0.425781f, 0.441406f}, + {0.093750f, 0.527344f, 0.996094f, 0.714844f}, {0.214844f, 0.148438f, 0.632812f, 0.335938f}, + {0.941406f, 0.585938f, 0.242188f, 0.593750f}, {0.160156f, 0.886719f, 0.410156f, 0.652344f}, + {0.597656f, 0.679688f, 0.812500f, 0.019531f}, {0.242188f, 0.312500f, 0.585938f, 0.562500f}, + {0.531250f, 0.460938f, 0.937500f, 0.921875f}, {0.375000f, 0.734375f, 0.328125f, 0.054688f}, + {0.703125f, 0.382812f, 0.472656f, 0.734375f}, {0.824219f, 0.835938f, 0.140625f, 0.519531f}, + {0.441406f, 0.289062f, 0.203125f, 0.414062f}, {0.121094f, 0.691406f, 0.628906f, 0.925781f}, + {0.378906f, 0.019531f, 0.105469f, 0.082031f}, {0.714844f, 0.222656f, 0.347656f, 0.734375f}, + {0.046875f, 0.816406f, 0.968750f, 0.976562f}, {0.421875f, 0.320312f, 0.078125f, 0.628906f}, + {0.871094f, 0.097656f, 0.484375f, 0.835938f}, {0.695312f, 0.265625f, 0.207031f, 0.332031f}, + {0.351562f, 0.718750f, 0.273438f, 0.761719f}, {0.406250f, 0.382812f, 0.957031f, 0.511719f}, + {0.042969f, 0.785156f, 0.628906f, 0.980469f}, {0.832031f, 0.117188f, 0.910156f, 0.343750f}, + {0.144531f, 0.500000f, 0.058594f, 0.421875f}, {0.699219f, 0.843750f, 0.589844f, 0.601562f}, + {0.546875f, 0.574219f, 0.488281f, 0.164062f}, {0.363281f, 0.054688f, 0.265625f, 0.390625f}, + {0.128906f, 0.785156f, 0.949219f, 0.746094f}, {0.492188f, 0.691406f, 0.175781f, 0.949219f}, + {0.972656f, 0.902344f, 0.894531f, 0.183594f}, {0.027344f, 0.359375f, 0.570312f, 0.070312f}, + {0.273438f, 0.062500f, 0.207031f, 0.500000f}, {0.472656f, 0.730469f, 0.972656f, 0.613281f}, + {0.351562f, 0.640625f, 0.089844f, 0.363281f}, {0.742188f, 0.226562f, 0.187500f, 0.195312f}, + {0.234375f, 0.699219f, 0.730469f, 0.945312f}, {0.625000f, 0.945312f, 0.636719f, 0.082031f}, + {0.328125f, 0.839844f, 0.378906f, 0.312500f}, {0.707031f, 0.652344f, 0.574219f, 0.875000f}, + {0.566406f, 0.742188f, 0.148438f, 0.050781f}, {0.882812f, 0.921875f, 0.460938f, 0.246094f}, + {0.519531f, 0.585938f, 0.917969f, 0.656250f}, {0.730469f, 0.718750f, 0.597656f, 0.316406f}, + {0.261719f, 0.808594f, 0.500000f, 0.460938f}, {0.171875f, 0.285156f, 0.324219f, 0.796875f}, + {0.773438f, 0.562500f, 0.746094f, 0.546875f}, {0.433594f, 0.429688f, 0.183594f, 0.343750f}, + {0.726562f, 0.628906f, 0.050781f, 0.488281f}, {0.859375f, 0.898438f, 0.972656f, 0.996094f}, + {0.402344f, 0.542969f, 0.429688f, 0.402344f}, {0.101562f, 0.304688f, 0.535156f, 0.542969f}, + {0.476562f, 0.675781f, 0.863281f, 0.902344f}, {0.734375f, 0.035156f, 0.488281f, 0.359375f}, + {0.289062f, 0.761719f, 0.773438f, 0.976562f}, {0.589844f, 0.949219f, 0.007812f, 0.519531f}, + {0.843750f, 0.269531f, 0.417969f, 0.835938f}, {0.664062f, 0.183594f, 0.144531f, 0.554688f}, + {0.226562f, 0.652344f, 0.656250f, 0.085938f}, {0.367188f, 0.789062f, 0.562500f, 0.957031f}, + {0.972656f, 0.238281f, 0.394531f, 0.433594f}, {0.000000f, 0.894531f, 0.207031f, 0.644531f}, + {0.777344f, 0.136719f, 0.968750f, 0.820312f}, {0.910156f, 0.949219f, 0.261719f, 0.355469f}, + {0.722656f, 0.785156f, 0.070312f, 0.917969f}, {0.996094f, 0.707031f, 0.792969f, 0.105469f}, + {0.562500f, 0.644531f, 0.511719f, 0.246094f}, {0.648438f, 0.937500f, 0.335938f, 0.851562f}, + {0.398438f, 0.738281f, 0.777344f, 0.078125f}, {0.832031f, 0.410156f, 0.695312f, 0.285156f}, + {0.722656f, 0.210938f, 0.167969f, 0.785156f}, {0.042969f, 0.609375f, 0.296875f, 0.214844f}, + {0.863281f, 0.976562f, 0.441406f, 0.824219f}, {0.167969f, 0.027344f, 0.066406f, 0.664062f}, + {0.609375f, 0.562500f, 0.828125f, 0.347656f}, {0.000000f, 0.191406f, 0.562500f, 0.839844f}, + {0.250000f, 0.070312f, 0.281250f, 0.207031f}, {0.875000f, 0.875000f, 0.917969f, 0.644531f}, + {0.941406f, 0.523438f, 0.781250f, 0.867188f}, {0.617188f, 0.378906f, 0.687500f, 0.343750f}, + {0.316406f, 0.132812f, 0.546875f, 0.171875f}, {0.542969f, 0.574219f, 0.609375f, 0.101562f}, + {0.230469f, 0.484375f, 0.851562f, 0.433594f}, {0.007812f, 0.828125f, 0.671875f, 0.910156f}, + {0.160156f, 0.160156f, 0.734375f, 0.605469f}, {0.890625f, 0.527344f, 0.351562f, 0.394531f}, + {0.757812f, 0.042969f, 0.511719f, 0.039062f}, {0.507812f, 0.593750f, 0.144531f, 0.640625f}, + {0.335938f, 0.238281f, 0.316406f, 0.781250f}, {0.464844f, 0.726562f, 0.191406f, 0.500000f}, + {0.000000f, 0.093750f, 0.667969f, 0.707031f}, {0.273438f, 0.636719f, 0.843750f, 0.031250f}, + {0.746094f, 0.210938f, 0.101562f, 0.570312f}, {0.437500f, 0.421875f, 0.343750f, 0.832031f}, + {0.625000f, 0.519531f, 0.027344f, 0.355469f}, {0.824219f, 0.613281f, 0.777344f, 0.667969f}, + {0.886719f, 0.261719f, 0.296875f, 0.121094f}, {0.554688f, 0.476562f, 0.609375f, 0.777344f}, + {0.992188f, 0.328125f, 0.417969f, 0.253906f}, {0.007812f, 0.812500f, 0.339844f, 0.050781f}, + {0.519531f, 0.371094f, 0.921875f, 0.476562f}, {0.867188f, 0.167969f, 0.121094f, 0.660156f}, + {0.773438f, 0.054688f, 0.789062f, 0.718750f}, {0.066406f, 0.535156f, 0.253906f, 0.128906f}, + {0.156250f, 0.343750f, 0.753906f, 0.503906f}, {0.218750f, 0.437500f, 0.027344f, 0.410156f}, + {0.347656f, 0.070312f, 0.398438f, 0.839844f}, {0.019531f, 0.175781f, 0.222656f, 0.714844f}, + {0.410156f, 0.375000f, 0.953125f, 0.011719f}, {0.605469f, 0.886719f, 0.652344f, 0.640625f}, + {0.093750f, 0.082031f, 0.414062f, 0.097656f}, {0.289062f, 0.707031f, 0.886719f, 0.269531f}, + {0.003906f, 0.195312f, 0.242188f, 0.691406f}, {0.980469f, 0.261719f, 0.781250f, 0.070312f}, + {0.671875f, 0.070312f, 0.722656f, 0.621094f}, {0.820312f, 0.851562f, 0.914062f, 0.250000f}, + {0.550781f, 0.429688f, 0.164062f, 0.097656f}, {0.140625f, 0.210938f, 0.082031f, 0.671875f}, + {0.042969f, 0.367188f, 0.996094f, 0.054688f}, {0.394531f, 0.457031f, 0.605469f, 0.613281f}, + {0.164062f, 0.695312f, 0.312500f, 0.417969f}, {0.109375f, 0.132812f, 0.929688f, 0.320312f}, + {0.734375f, 0.937500f, 0.800781f, 0.207031f}, {0.578125f, 0.476562f, 0.039062f, 0.367188f}, + {0.500000f, 0.382812f, 0.761719f, 0.859375f}, {0.304688f, 0.750000f, 0.628906f, 0.273438f}, + {0.207031f, 0.617188f, 0.121094f, 0.730469f}, {0.597656f, 0.269531f, 0.683594f, 0.140625f}, + {0.324219f, 0.445312f, 0.371094f, 0.613281f}, {0.027344f, 0.386719f, 0.187500f, 0.761719f}, + {0.507812f, 0.093750f, 0.597656f, 0.546875f}, {0.769531f, 0.250000f, 0.015625f, 0.386719f}, + {0.265625f, 0.335938f, 0.914062f, 0.472656f}, {0.335938f, 0.113281f, 0.539062f, 0.972656f}, + {0.496094f, 0.828125f, 0.078125f, 0.730469f}, {0.980469f, 0.507812f, 0.656250f, 0.410156f}, + {0.410156f, 0.093750f, 0.871094f, 0.148438f}, {0.777344f, 0.910156f, 0.238281f, 0.464844f}, + {0.929688f, 0.644531f, 0.746094f, 0.253906f}, {0.343750f, 0.488281f, 0.394531f, 0.992188f}, + {0.566406f, 0.949219f, 0.011719f, 0.117188f}, {0.476562f, 0.597656f, 0.859375f, 0.476562f}, + {0.210938f, 0.449219f, 0.476562f, 0.273438f}, {0.816406f, 0.902344f, 0.156250f, 0.542969f}, + {0.093750f, 0.738281f, 0.253906f, 0.773438f}, {0.964844f, 0.640625f, 0.316406f, 0.500000f}, + {0.738281f, 0.925781f, 0.007812f, 0.257812f}, {0.828125f, 0.066406f, 0.433594f, 0.000000f}, + {0.457031f, 0.437500f, 0.578125f, 0.187500f}, {0.667969f, 0.980469f, 0.089844f, 0.699219f}, + {0.207031f, 0.351562f, 0.824219f, 0.886719f}, {0.105469f, 0.902344f, 0.703125f, 0.246094f}, + {0.933594f, 0.183594f, 0.796875f, 0.070312f}, {0.796875f, 0.449219f, 0.457031f, 0.925781f}, + {0.656250f, 0.945312f, 0.378906f, 0.289062f}, {0.957031f, 0.878906f, 0.769531f, 0.875000f}, + {0.847656f, 0.335938f, 0.531250f, 0.097656f}, {0.089844f, 0.128906f, 0.628906f, 0.464844f}, + {0.199219f, 0.824219f, 0.437500f, 0.273438f}, {0.335938f, 0.035156f, 0.507812f, 0.925781f}, + {0.113281f, 0.773438f, 0.839844f, 0.554688f}, {0.160156f, 0.925781f, 0.042969f, 0.437500f}, + {0.695312f, 0.132812f, 0.875000f, 0.687500f}, {0.300781f, 0.007812f, 0.519531f, 0.878906f}, + {0.921875f, 0.898438f, 0.671875f, 0.800781f}, {0.187500f, 0.582031f, 0.000000f, 0.539062f}, + {0.421875f, 0.253906f, 0.484375f, 0.265625f}, {0.503906f, 0.800781f, 0.945312f, 0.988281f}, + {0.917969f, 0.117188f, 0.625000f, 0.753906f}, {0.812500f, 0.859375f, 0.707031f, 0.578125f}, + {0.671875f, 0.269531f, 0.296875f, 0.171875f}, {0.984375f, 0.949219f, 0.769531f, 0.367188f}, + {0.847656f, 0.476562f, 0.156250f, 0.957031f}, {0.703125f, 0.613281f, 0.554688f, 0.867188f}, + {0.890625f, 0.328125f, 0.101562f, 0.421875f}, {0.503906f, 0.976562f, 0.687500f, 0.910156f}, + {0.570312f, 0.511719f, 0.503906f, 0.777344f}, {0.156250f, 0.808594f, 0.597656f, 0.179688f}, + {0.355469f, 0.125000f, 0.019531f, 0.839844f}, {0.199219f, 0.730469f, 0.308594f, 0.738281f}, + {0.949219f, 0.984375f, 0.671875f, 0.496094f}, {0.429688f, 0.613281f, 0.246094f, 0.199219f}, + {0.910156f, 0.085938f, 0.363281f, 0.765625f}, {0.769531f, 0.878906f, 0.707031f, 0.261719f}, + {0.472656f, 0.519531f, 0.187500f, 0.000000f}, {0.894531f, 0.328125f, 0.519531f, 0.750000f}, + {0.277344f, 0.593750f, 0.238281f, 0.632812f}, {0.058594f, 0.855469f, 0.359375f, 0.500000f}, + {0.855469f, 0.023438f, 0.910156f, 0.027344f}, {0.699219f, 0.523438f, 0.449219f, 0.562500f}, + {0.457031f, 0.667969f, 0.308594f, 0.980469f}, {0.125000f, 0.175781f, 0.824219f, 0.312500f}, + {0.867188f, 0.867188f, 0.476562f, 0.414062f}, {0.375000f, 0.027344f, 0.929688f, 0.882812f}, + {0.683594f, 0.812500f, 0.851562f, 0.175781f}, {0.117188f, 0.480469f, 0.125000f, 0.804688f}, + {0.878906f, 0.980469f, 0.210938f, 0.679688f}, {0.058594f, 0.554688f, 0.378906f, 0.042969f}, + {0.628906f, 0.167969f, 0.976562f, 0.527344f}, {0.132812f, 0.757812f, 0.769531f, 0.621094f}, + {0.308594f, 0.371094f, 0.191406f, 0.312500f}, {0.464844f, 0.273438f, 0.527344f, 0.898438f}, + {0.085938f, 0.808594f, 0.960938f, 0.007812f}, {0.734375f, 0.324219f, 0.691406f, 0.757812f}, + {0.671875f, 0.105469f, 0.339844f, 0.593750f}, {0.058594f, 0.765625f, 0.585938f, 0.703125f}, + {0.761719f, 0.246094f, 0.062500f, 0.031250f}, {0.156250f, 0.167969f, 0.417969f, 0.917969f}, + {0.355469f, 0.035156f, 0.800781f, 0.382812f}, {0.644531f, 0.281250f, 0.925781f, 0.683594f}, + {0.496094f, 0.773438f, 0.136719f, 0.957031f}, {0.121094f, 0.226562f, 0.890625f, 0.562500f}, + {0.304688f, 0.699219f, 0.187500f, 0.824219f}, {0.992188f, 0.628906f, 0.980469f, 0.457031f}, + {0.550781f, 0.300781f, 0.410156f, 0.308594f}, {0.621094f, 0.761719f, 0.242188f, 0.148438f}, + {0.292969f, 0.671875f, 0.609375f, 0.816406f}, {0.414062f, 0.386719f, 0.000000f, 0.445312f}, + {0.167969f, 0.289062f, 0.890625f, 0.207031f}, {0.238281f, 0.542969f, 0.140625f, 0.523438f}, + {0.566406f, 0.710938f, 0.218750f, 0.625000f}, {0.382812f, 0.464844f, 0.980469f, 0.156250f}, + {0.785156f, 0.972656f, 0.695312f, 0.730469f}, {0.535156f, 0.199219f, 0.246094f, 0.863281f}, + {0.648438f, 0.390625f, 0.371094f, 0.210938f}, {0.425781f, 0.550781f, 0.722656f, 0.000000f}, + {0.773438f, 0.671875f, 0.140625f, 0.980469f}, {0.585938f, 0.425781f, 0.234375f, 0.304688f}, + {0.105469f, 0.734375f, 0.812500f, 0.164062f}, {0.656250f, 0.460938f, 0.281250f, 0.421875f}, + {0.277344f, 0.632812f, 0.863281f, 0.351562f}, {0.031250f, 0.968750f, 0.347656f, 0.015625f}, + {0.613281f, 0.195312f, 0.195312f, 0.214844f}, {0.445312f, 0.507812f, 0.527344f, 0.906250f}, + {0.296875f, 0.777344f, 0.855469f, 0.093750f}, {0.132812f, 0.660156f, 0.062500f, 0.285156f}, + {0.546875f, 0.031250f, 0.457031f, 0.496094f}, {0.195312f, 0.230469f, 0.808594f, 0.144531f}, + {0.375000f, 0.750000f, 0.273438f, 0.210938f}, {0.933594f, 0.156250f, 0.941406f, 0.601562f}, + {0.230469f, 0.402344f, 0.355469f, 0.367188f}, {0.753906f, 0.656250f, 0.128906f, 0.449219f}, + {0.058594f, 0.351562f, 0.464844f, 0.015625f}, {0.597656f, 0.570312f, 0.398438f, 0.957031f}, + {0.789062f, 0.289062f, 0.824219f, 0.386719f}, {0.246094f, 0.492188f, 0.578125f, 0.863281f}, + {0.636719f, 0.792969f, 0.046875f, 0.457031f}, {0.332031f, 0.019531f, 0.839844f, 0.929688f}, + {0.207031f, 0.410156f, 0.109375f, 0.707031f}, {0.617188f, 0.765625f, 0.621094f, 0.992188f}, + {0.960938f, 0.066406f, 0.691406f, 0.132812f}, {0.417969f, 0.289062f, 0.074219f, 0.906250f}, + {0.789062f, 0.207031f, 0.851562f, 0.769531f}, {0.093750f, 0.972656f, 0.171875f, 0.183594f}, + {0.937500f, 0.101562f, 0.726562f, 0.066406f}, {0.253906f, 0.324219f, 0.554688f, 0.527344f}, + {0.820312f, 0.503906f, 0.062500f, 0.656250f}, {0.476562f, 0.593750f, 0.648438f, 0.007812f}, + {0.179688f, 0.910156f, 0.281250f, 0.289062f}, {0.957031f, 0.062500f, 0.445312f, 0.921875f}, + {0.441406f, 0.632812f, 0.726562f, 0.128906f}, {0.574219f, 0.292969f, 0.621094f, 0.234375f}, + {0.203125f, 0.875000f, 0.476562f, 0.363281f}, {0.679688f, 0.667969f, 0.031250f, 0.945312f}, + {0.914062f, 0.441406f, 0.347656f, 0.097656f}, {0.546875f, 0.214844f, 0.609375f, 0.687500f}, + {0.191406f, 0.718750f, 0.113281f, 0.550781f}, {0.269531f, 0.148438f, 0.164062f, 0.375000f}, + {0.992188f, 0.414062f, 0.898438f, 0.164062f}, {0.398438f, 0.652344f, 0.652344f, 0.429688f}, + {0.523438f, 0.351562f, 0.210938f, 0.800781f}, {0.863281f, 0.820312f, 0.992188f, 0.218750f}, + {0.437500f, 0.988281f, 0.707031f, 0.066406f}, {0.261719f, 0.421875f, 0.382812f, 0.859375f}, + {0.921875f, 0.339844f, 0.644531f, 0.132812f}, {0.585938f, 0.539062f, 0.746094f, 0.359375f}, + {0.386719f, 0.855469f, 0.488281f, 0.738281f}, {0.804688f, 0.019531f, 0.289062f, 0.105469f}, + {0.253906f, 0.480469f, 0.050781f, 0.539062f}, {0.027344f, 0.109375f, 0.867188f, 0.945312f}, + {0.898438f, 0.828125f, 0.523438f, 0.582031f}, {0.718750f, 0.046875f, 0.964844f, 0.339844f}, + {0.519531f, 0.152344f, 0.281250f, 0.675781f}, {0.062500f, 0.765625f, 0.570312f, 0.984375f}, + {0.886719f, 0.003906f, 0.738281f, 0.792969f}, {0.687500f, 0.257812f, 0.316406f, 0.410156f}, + {0.019531f, 0.585938f, 0.078125f, 0.039062f}, {0.964844f, 0.660156f, 0.164062f, 0.320312f}, + {0.257812f, 0.863281f, 0.941406f, 0.597656f}, {0.906250f, 0.292969f, 0.640625f, 0.386719f}, + {0.214844f, 0.960938f, 0.472656f, 0.746094f}, {0.464844f, 0.214844f, 0.996094f, 0.628906f}, + {0.378906f, 0.851562f, 0.558594f, 0.097656f}, {0.820312f, 0.300781f, 0.394531f, 0.898438f}, + {0.718750f, 0.066406f, 0.597656f, 0.566406f}, {0.968750f, 0.406250f, 0.085938f, 0.843750f}, + {0.363281f, 0.687500f, 0.433594f, 0.683594f}, {0.750000f, 0.574219f, 0.125000f, 0.437500f}, + {0.078125f, 0.316406f, 0.980469f, 0.617188f}, {0.636719f, 0.136719f, 0.675781f, 0.812500f}, + {0.468750f, 0.910156f, 0.367188f, 0.757812f}, {0.324219f, 0.546875f, 0.910156f, 0.554688f}, + {0.050781f, 0.832031f, 0.003906f, 0.671875f}, {0.808594f, 0.054688f, 0.203125f, 0.042969f}, + {0.625000f, 0.929688f, 0.632812f, 0.937500f}, {0.460938f, 0.468750f, 0.796875f, 0.523438f}, + {0.882812f, 0.003906f, 0.964844f, 0.292969f}, {0.304688f, 0.902344f, 0.195312f, 0.589844f}, + {0.503906f, 0.160156f, 0.515625f, 0.128906f}, {0.011719f, 0.671875f, 0.933594f, 0.328125f}, + {0.714844f, 0.250000f, 0.765625f, 0.570312f}, {0.539062f, 0.921875f, 0.472656f, 0.167969f}, + {0.820312f, 0.187500f, 0.871094f, 0.355469f}, {0.031250f, 0.996094f, 0.953125f, 0.476562f}, + {0.355469f, 0.628906f, 0.425781f, 0.289062f}, {0.554688f, 0.449219f, 0.578125f, 0.593750f}, + {0.183594f, 0.710938f, 0.273438f, 0.398438f}, {0.644531f, 0.359375f, 0.511719f, 0.695312f}, + {0.398438f, 0.820312f, 0.015625f, 0.464844f}, {0.535156f, 0.925781f, 0.941406f, 0.933594f}, + {0.628906f, 0.691406f, 0.238281f, 0.222656f}, {0.074219f, 0.222656f, 0.402344f, 0.707031f}, + {0.785156f, 0.757812f, 0.761719f, 0.496094f}, {0.242188f, 0.367188f, 0.570312f, 0.589844f}, + {0.726562f, 0.718750f, 0.320312f, 0.445312f}, {0.925781f, 0.417969f, 0.890625f, 0.863281f}, + {0.382812f, 0.000000f, 0.261719f, 0.753906f}, {0.753906f, 0.953125f, 0.839844f, 0.179688f}, + {0.023438f, 0.078125f, 0.414062f, 0.832031f}, {0.843750f, 0.597656f, 0.906250f, 0.496094f}, + {0.617188f, 0.894531f, 0.492188f, 0.792969f}, {0.886719f, 0.542969f, 0.261719f, 0.289062f}, + {0.140625f, 0.968750f, 0.437500f, 0.960938f}, {0.296875f, 0.046875f, 0.757812f, 0.851562f}, + {0.601562f, 0.710938f, 0.300781f, 0.324219f}, {0.699219f, 0.500000f, 0.496094f, 0.574219f}, + {0.019531f, 0.558594f, 0.035156f, 0.648438f}, {0.785156f, 0.675781f, 0.535156f, 0.449219f}, + {0.078125f, 0.089844f, 0.234375f, 0.300781f}, {0.191406f, 0.175781f, 0.339844f, 0.617188f}, + {0.714844f, 0.398438f, 0.785156f, 0.222656f}, {0.054688f, 0.921875f, 0.562500f, 0.875000f}, + {0.488281f, 0.257812f, 0.683594f, 0.652344f}, {0.765625f, 0.566406f, 0.335938f, 0.386719f}, + {0.371094f, 0.957031f, 0.121094f, 0.750000f}, {0.117188f, 0.511719f, 0.718750f, 0.007812f}, + {0.820312f, 0.871094f, 0.421875f, 0.125000f}, {0.453125f, 0.617188f, 0.062500f, 0.371094f}, + {0.613281f, 0.937500f, 0.914062f, 0.246094f}, {0.300781f, 0.371094f, 0.460938f, 0.703125f}, + {0.480469f, 0.078125f, 0.863281f, 0.957031f}, {0.730469f, 0.746094f, 0.785156f, 0.488281f}, + {0.363281f, 0.164062f, 0.566406f, 0.812500f}, {0.074219f, 0.093750f, 0.093750f, 0.140625f}, + {0.859375f, 0.503906f, 0.320312f, 0.527344f}, {0.039062f, 0.050781f, 0.765625f, 0.464844f}, + {0.953125f, 0.566406f, 0.058594f, 0.222656f}, {0.531250f, 0.156250f, 0.156250f, 0.773438f}, + {0.230469f, 0.914062f, 0.738281f, 0.644531f}, {0.117188f, 0.750000f, 0.898438f, 0.152344f}, + {0.574219f, 0.363281f, 0.656250f, 0.484375f}, {0.179688f, 0.011719f, 0.808594f, 0.312500f}, + {0.894531f, 0.980469f, 0.328125f, 0.941406f}, {0.246094f, 0.730469f, 0.242188f, 0.066406f}, + {0.949219f, 0.386719f, 0.609375f, 0.398438f}, {0.781250f, 0.445312f, 0.511719f, 0.257812f}, + {0.675781f, 0.679688f, 0.730469f, 0.843750f}, {0.121094f, 0.273438f, 0.433594f, 0.324219f}, + {0.273438f, 0.582031f, 0.855469f, 0.726562f}, {0.390625f, 0.863281f, 0.289062f, 0.816406f}, + {0.699219f, 0.226562f, 0.707031f, 0.218750f}, {0.925781f, 0.757812f, 0.078125f, 0.687500f}, + {0.128906f, 0.382812f, 0.640625f, 0.906250f}, {0.382812f, 0.101562f, 0.140625f, 0.789062f}, + {0.988281f, 0.843750f, 0.273438f, 0.074219f}, {0.093750f, 0.562500f, 0.386719f, 0.660156f}, + {0.441406f, 0.726562f, 0.230469f, 0.218750f}, {0.746094f, 0.238281f, 0.023438f, 0.875000f}, + {0.683594f, 0.109375f, 0.750000f, 0.042969f}, {0.238281f, 0.898438f, 0.328125f, 0.812500f}, + {0.902344f, 0.796875f, 0.988281f, 0.230469f}, {0.335938f, 0.574219f, 0.792969f, 0.335938f}, + {0.015625f, 0.035156f, 0.613281f, 0.835938f}, {0.738281f, 0.414062f, 0.343750f, 0.101562f}, + {0.976562f, 0.128906f, 0.867188f, 0.789062f}, {0.308594f, 0.285156f, 0.148438f, 0.371094f}, + {0.554688f, 0.535156f, 0.980469f, 0.964844f}, {0.351562f, 0.191406f, 0.046875f, 0.074219f}, + {0.003906f, 0.140625f, 0.812500f, 0.324219f}, {0.515625f, 0.804688f, 0.101562f, 0.644531f}, + {0.292969f, 0.242188f, 0.152344f, 0.546875f}, {0.816406f, 0.527344f, 0.554688f, 0.277344f}, + {0.246094f, 0.343750f, 0.664062f, 0.050781f}, {0.425781f, 0.839844f, 0.058594f, 0.425781f}, + {0.347656f, 0.031250f, 0.714844f, 0.207031f}, {0.496094f, 0.460938f, 0.804688f, 0.652344f}, + {0.800781f, 0.226562f, 0.078125f, 0.058594f}, {0.039062f, 0.859375f, 0.546875f, 0.484375f}, + {0.945312f, 0.300781f, 0.847656f, 0.109375f}, {0.226562f, 0.121094f, 0.121094f, 0.933594f}, + {0.906250f, 0.210938f, 0.878906f, 0.746094f}, {0.546875f, 0.875000f, 0.601562f, 0.187500f}, + {0.675781f, 0.953125f, 0.085938f, 0.804688f}, {0.339844f, 0.601562f, 0.933594f, 0.507812f}, + {0.859375f, 0.792969f, 0.023438f, 0.996094f}, {0.429688f, 0.128906f, 0.156250f, 0.031250f}, + {0.929688f, 0.742188f, 0.906250f, 0.269531f}, {0.179688f, 0.203125f, 0.453125f, 0.484375f}, + {0.671875f, 0.640625f, 0.644531f, 0.195312f}, {0.582031f, 0.328125f, 0.191406f, 0.847656f}, + {0.976562f, 0.425781f, 0.832031f, 0.601562f}, {0.343750f, 0.191406f, 0.347656f, 0.906250f}, + {0.210938f, 0.488281f, 0.605469f, 0.062500f}, {0.941406f, 0.804688f, 0.023438f, 0.546875f}, + {0.101562f, 0.910156f, 0.527344f, 0.191406f}, {0.175781f, 0.437500f, 0.402344f, 0.648438f}, + {0.820312f, 0.332031f, 0.265625f, 0.914062f}, {0.515625f, 0.636719f, 0.882812f, 0.062500f}, + {0.621094f, 0.785156f, 0.429688f, 0.253906f}, {0.746094f, 0.707031f, 0.199219f, 0.937500f}, + {0.152344f, 0.355469f, 0.683594f, 0.332031f}, {0.332031f, 0.804688f, 0.457031f, 0.074219f}, + {0.878906f, 0.492188f, 0.964844f, 0.968750f}, {0.480469f, 0.109375f, 0.226562f, 0.382812f}, + {0.792969f, 0.867188f, 0.035156f, 0.042969f}, {0.417969f, 0.234375f, 0.480469f, 0.734375f}, + {0.843750f, 0.464844f, 0.566406f, 0.539062f}, {0.511719f, 0.609375f, 0.171875f, 0.187500f}, + {0.011719f, 0.062500f, 0.046875f, 0.703125f}, {0.582031f, 0.191406f, 0.871094f, 0.968750f}, + {0.429688f, 0.347656f, 0.308594f, 0.121094f}, {0.988281f, 0.777344f, 0.578125f, 0.484375f}, + {0.527344f, 0.109375f, 0.152344f, 0.078125f}, {0.085938f, 0.320312f, 0.050781f, 0.160156f}, + {0.835938f, 0.699219f, 0.539062f, 0.640625f}, {0.558594f, 0.531250f, 0.890625f, 0.433594f}, + {0.183594f, 0.968750f, 0.332031f, 0.031250f}, {0.660156f, 0.449219f, 0.433594f, 0.269531f}, + {0.851562f, 0.640625f, 0.722656f, 0.503906f}, {0.289062f, 0.347656f, 0.558594f, 0.835938f}, + {0.156250f, 0.488281f, 0.171875f, 0.101562f}, {0.878906f, 0.828125f, 0.804688f, 0.550781f}, + {0.511719f, 0.386719f, 0.492188f, 0.437500f}, {0.132812f, 0.531250f, 0.148438f, 0.671875f}, + {0.765625f, 0.144531f, 0.101562f, 0.117188f}, {0.484375f, 0.257812f, 0.210938f, 0.910156f}, + {0.835938f, 0.480469f, 0.433594f, 0.574219f}, {0.152344f, 0.628906f, 0.699219f, 0.269531f}, + {0.214844f, 0.773438f, 0.089844f, 0.441406f}, {0.417969f, 0.992188f, 0.535156f, 0.152344f}, + {0.898438f, 0.453125f, 0.667969f, 0.746094f}, {0.640625f, 0.867188f, 0.195312f, 0.207031f}, + {0.148438f, 0.578125f, 0.507812f, 0.796875f}, {0.855469f, 0.921875f, 0.699219f, 0.027344f}, + {0.097656f, 0.468750f, 0.960938f, 0.988281f}, {0.585938f, 0.625000f, 0.757812f, 0.382812f}, + {0.160156f, 0.773438f, 0.300781f, 0.613281f}, {0.714844f, 0.183594f, 0.214844f, 0.875000f}, + {0.070312f, 0.691406f, 0.980469f, 0.937500f}, {0.656250f, 0.375000f, 0.332031f, 0.125000f}, + {0.746094f, 0.789062f, 0.621094f, 0.738281f}, {0.457031f, 0.585938f, 0.949219f, 0.605469f}, + {0.335938f, 0.933594f, 0.179688f, 0.253906f}, {0.171875f, 0.625000f, 0.359375f, 0.523438f}, + {0.386719f, 0.457031f, 0.730469f, 0.394531f}, {0.472656f, 0.003906f, 0.273438f, 0.039062f}, + {0.281250f, 0.726562f, 0.457031f, 0.902344f}, {0.972656f, 0.488281f, 0.832031f, 0.093750f}, + {0.617188f, 0.312500f, 0.406250f, 0.414062f}, {0.136719f, 0.660156f, 0.613281f, 0.687500f}, + {0.562500f, 0.441406f, 0.226562f, 0.781250f}, {0.324219f, 0.375000f, 0.800781f, 0.074219f}, + {0.871094f, 0.808594f, 0.082031f, 0.964844f}, {0.269531f, 0.089844f, 0.941406f, 0.699219f}, + {0.011719f, 0.250000f, 0.503906f, 0.503906f}, {0.148438f, 0.671875f, 0.242188f, 0.300781f}, + {0.707031f, 0.125000f, 0.679688f, 0.453125f}, {0.843750f, 0.296875f, 0.812500f, 0.835938f}, + {0.417969f, 0.566406f, 0.187500f, 0.113281f}, {0.578125f, 0.226562f, 0.652344f, 0.285156f}, + {0.675781f, 0.523438f, 0.718750f, 0.363281f}, {0.312500f, 0.894531f, 0.039062f, 0.691406f}, + {0.406250f, 0.398438f, 0.605469f, 0.781250f}, {0.265625f, 0.246094f, 0.917969f, 0.851562f}, + {0.570312f, 0.992188f, 0.843750f, 0.589844f}, {0.644531f, 0.605469f, 0.339844f, 0.714844f}, + {0.003906f, 0.269531f, 0.531250f, 0.511719f}, {0.699219f, 0.652344f, 0.296875f, 0.277344f}, + {0.312500f, 0.546875f, 0.710938f, 0.824219f}, {0.054688f, 0.152344f, 0.402344f, 0.238281f}, + {0.667969f, 0.796875f, 0.914062f, 0.875000f}, {0.351562f, 0.281250f, 0.769531f, 0.351562f}, + {0.730469f, 0.839844f, 0.691406f, 0.000000f}, {0.289062f, 0.894531f, 0.394531f, 0.632812f}, + {0.152344f, 0.519531f, 0.113281f, 0.429688f}, {0.867188f, 0.988281f, 0.992188f, 0.582031f}, + {0.210938f, 0.636719f, 0.480469f, 0.878906f}, {0.640625f, 0.171875f, 0.753906f, 0.984375f}, + {0.023438f, 0.425781f, 0.371094f, 0.343750f}, {0.437500f, 0.039062f, 0.222656f, 0.539062f}, + {0.257812f, 0.800781f, 0.835938f, 0.718750f}, {0.777344f, 0.300781f, 0.007812f, 0.964844f}, + {0.484375f, 0.054688f, 0.984375f, 0.406250f}, {0.582031f, 0.140625f, 0.664062f, 0.617188f}, + {0.398438f, 0.597656f, 0.906250f, 0.933594f}, {0.933594f, 0.019531f, 0.367188f, 0.726562f}, + {0.312500f, 0.691406f, 0.601562f, 0.164062f}, {0.074219f, 0.320312f, 0.882812f, 0.964844f}, + {0.589844f, 0.644531f, 0.679688f, 0.515625f}, {0.949219f, 0.964844f, 0.375000f, 0.742188f}, + {0.281250f, 0.187500f, 0.910156f, 0.023438f}, {0.687500f, 0.886719f, 0.773438f, 0.640625f}, + {0.597656f, 0.343750f, 0.292969f, 0.871094f}, {0.054688f, 0.089844f, 0.464844f, 0.535156f}, + {0.808594f, 0.015625f, 0.839844f, 0.613281f}, {0.710938f, 0.675781f, 0.339844f, 0.902344f}, + {0.484375f, 0.320312f, 0.429688f, 0.406250f}, {0.988281f, 0.062500f, 0.242188f, 0.687500f}, + {0.664062f, 0.707031f, 0.375000f, 0.140625f}, {0.460938f, 0.128906f, 0.019531f, 0.480469f}, + {0.960938f, 0.296875f, 0.453125f, 0.707031f}, {0.535156f, 0.980469f, 0.828125f, 0.246094f}, + {0.894531f, 0.101562f, 0.578125f, 0.570312f}, {0.218750f, 0.273438f, 0.398438f, 0.335938f}, + {0.113281f, 0.507812f, 0.000000f, 0.406250f}, {0.554688f, 0.160156f, 0.242188f, 0.890625f}, + {0.828125f, 0.066406f, 0.671875f, 0.695312f}, {0.632812f, 0.398438f, 0.425781f, 0.148438f}, + {0.730469f, 0.781250f, 0.785156f, 0.968750f}, {0.125000f, 0.273438f, 0.964844f, 0.281250f}, + {0.820312f, 0.371094f, 0.191406f, 0.707031f}, {0.031250f, 0.218750f, 0.695312f, 0.585938f}, + {0.507812f, 0.054688f, 0.511719f, 0.343750f}, {0.242188f, 0.890625f, 0.988281f, 0.167969f}, + {0.734375f, 0.972656f, 0.730469f, 0.531250f}, {0.070312f, 0.011719f, 0.285156f, 0.316406f}, + {0.460938f, 0.707031f, 0.394531f, 0.417969f}, {0.781250f, 0.546875f, 0.585938f, 0.234375f}, + {0.402344f, 0.992188f, 0.769531f, 0.152344f}, {0.644531f, 0.738281f, 0.148438f, 0.773438f}, + {0.757812f, 0.855469f, 0.976562f, 0.636719f}, {0.539062f, 0.050781f, 0.382812f, 0.390625f}, + {0.246094f, 0.714844f, 0.296875f, 0.742188f}, {0.910156f, 0.972656f, 0.125000f, 0.886719f}, + {0.128906f, 0.011719f, 0.960938f, 0.445312f}, {0.984375f, 0.828125f, 0.351562f, 0.554688f}, + {0.054688f, 0.132812f, 0.511719f, 0.175781f}, {0.800781f, 0.464844f, 0.117188f, 0.398438f}, + {0.921875f, 0.027344f, 0.257812f, 0.019531f}, {0.437500f, 0.191406f, 0.015625f, 0.441406f}, + {0.203125f, 0.433594f, 0.785156f, 0.195312f}, {0.996094f, 0.953125f, 0.632812f, 0.917969f}, + {0.257812f, 0.335938f, 0.144531f, 0.652344f}, {0.617188f, 0.703125f, 0.835938f, 0.101562f}, + {0.941406f, 0.929688f, 0.265625f, 0.597656f}, {0.109375f, 0.503906f, 0.097656f, 0.468750f}, + {0.195312f, 0.093750f, 0.957031f, 0.785156f}, {0.917969f, 0.714844f, 0.218750f, 0.906250f}, + {0.761719f, 0.242188f, 0.648438f, 0.281250f}, {0.367188f, 0.019531f, 0.789062f, 0.195312f}, + {0.707031f, 0.480469f, 0.253906f, 0.386719f}, {0.328125f, 0.828125f, 0.917969f, 0.757812f}, + {0.960938f, 0.941406f, 0.667969f, 0.242188f}, {0.742188f, 0.601562f, 0.601562f, 0.105469f}, + {0.347656f, 0.203125f, 0.496094f, 0.871094f}, {0.886719f, 0.687500f, 0.777344f, 0.152344f}, + {0.046875f, 0.886719f, 0.089844f, 0.316406f}, {0.222656f, 0.957031f, 0.316406f, 0.773438f}, + {0.625000f, 0.750000f, 0.527344f, 0.253906f}, {0.003906f, 0.277344f, 0.050781f, 0.382812f}, + {0.660156f, 0.937500f, 0.250000f, 0.328125f}, {0.808594f, 0.078125f, 0.734375f, 0.625000f}, + {0.437500f, 0.425781f, 0.460938f, 0.281250f}, {0.386719f, 0.738281f, 0.566406f, 0.394531f}, + {0.039062f, 0.050781f, 0.035156f, 0.175781f}, {0.523438f, 0.546875f, 0.175781f, 0.996094f}, + {0.925781f, 0.714844f, 0.957031f, 0.347656f}, {0.453125f, 0.843750f, 0.585938f, 0.039062f}, + {0.109375f, 0.617188f, 0.003906f, 0.296875f}, {0.269531f, 0.406250f, 0.750000f, 0.109375f}, + {0.390625f, 0.949219f, 0.933594f, 0.519531f}, {0.207031f, 0.222656f, 0.597656f, 0.238281f}, + {0.332031f, 0.378906f, 0.640625f, 0.820312f}, {0.785156f, 0.898438f, 0.914062f, 0.906250f}, + {0.054688f, 0.496094f, 0.523438f, 0.085938f}, {0.386719f, 0.417969f, 0.089844f, 0.777344f}, + {0.304688f, 0.562500f, 0.148438f, 0.031250f}, {0.929688f, 0.925781f, 0.773438f, 0.519531f}, + {0.414062f, 0.667969f, 0.468750f, 0.195312f}, {0.257812f, 0.738281f, 0.835938f, 0.800781f}, + {0.972656f, 0.332031f, 0.519531f, 0.003906f}, {0.078125f, 0.847656f, 0.062500f, 0.359375f}, + {0.882812f, 0.691406f, 0.566406f, 0.625000f}, {0.585938f, 0.148438f, 0.140625f, 0.777344f}, + {0.214844f, 0.941406f, 0.652344f, 0.476562f}, {0.757812f, 0.824219f, 0.308594f, 0.238281f}, + {0.402344f, 0.527344f, 0.113281f, 0.867188f}, {0.945312f, 0.585938f, 0.359375f, 0.937500f}, + {0.839844f, 0.277344f, 0.062500f, 0.621094f}, {0.632812f, 0.167969f, 0.550781f, 0.804688f}, + {0.222656f, 0.464844f, 0.894531f, 0.914062f}, {0.535156f, 0.882812f, 0.011719f, 0.566406f}, + {0.886719f, 0.039062f, 0.312500f, 0.085938f}, {0.496094f, 0.394531f, 0.449219f, 0.875000f}, + {0.085938f, 0.593750f, 0.097656f, 0.972656f}, {0.289062f, 0.343750f, 0.742188f, 0.011719f}, + {0.031250f, 0.460938f, 0.894531f, 0.589844f}, {0.777344f, 0.156250f, 0.488281f, 0.222656f}, + {0.468750f, 0.679688f, 0.835938f, 0.042969f}, {0.195312f, 0.281250f, 0.230469f, 0.992188f}, + {0.718750f, 0.589844f, 0.796875f, 0.109375f}, {0.492188f, 0.921875f, 0.667969f, 0.667969f}, + {0.097656f, 0.667969f, 0.390625f, 0.292969f}, {0.835938f, 0.871094f, 0.582031f, 0.871094f}, + {0.378906f, 0.097656f, 0.878906f, 0.128906f}, {0.753906f, 0.765625f, 0.078125f, 0.558594f}, + {0.503906f, 0.039062f, 0.937500f, 0.761719f}, {0.148438f, 0.207031f, 0.515625f, 0.425781f}, + {0.816406f, 0.421875f, 0.593750f, 0.996094f}, {0.390625f, 0.367188f, 0.335938f, 0.136719f}, + {0.550781f, 0.656250f, 0.441406f, 0.226562f}, {0.488281f, 0.144531f, 0.828125f, 0.523438f}, + {0.605469f, 0.593750f, 0.531250f, 0.734375f}, {0.035156f, 0.390625f, 0.347656f, 0.671875f}, + {0.464844f, 0.742188f, 0.019531f, 0.023438f}, {0.812500f, 0.265625f, 0.421875f, 0.492188f}, + {0.164062f, 0.359375f, 0.101562f, 0.605469f}, {0.507812f, 0.121094f, 0.171875f, 0.800781f}, + {0.605469f, 0.503906f, 0.933594f, 0.453125f}, {0.082031f, 0.250000f, 0.261719f, 0.203125f}, + {0.968750f, 0.550781f, 0.460938f, 0.570312f}, {0.718750f, 0.410156f, 0.628906f, 0.054688f}, + {0.835938f, 0.105469f, 0.710938f, 0.468750f}, {0.359375f, 0.457031f, 0.421875f, 0.894531f}, + {0.250000f, 0.875000f, 0.968750f, 0.015625f}, {0.996094f, 0.210938f, 0.074219f, 0.855469f}, + {0.179688f, 0.785156f, 0.304688f, 0.074219f}, {0.714844f, 0.855469f, 0.832031f, 0.804688f}, + {0.230469f, 0.296875f, 0.500000f, 0.488281f}, {0.859375f, 0.394531f, 0.253906f, 0.222656f}, + {0.324219f, 0.230469f, 0.640625f, 0.679688f}, {0.765625f, 0.511719f, 0.390625f, 0.820312f}, + {0.179688f, 0.269531f, 0.222656f, 0.726562f}, {0.843750f, 0.121094f, 0.128906f, 0.468750f}, + {0.609375f, 0.781250f, 0.859375f, 0.960938f}, {0.035156f, 0.531250f, 0.066406f, 0.335938f}, + {0.734375f, 0.855469f, 0.167969f, 0.578125f}, {0.261719f, 0.023438f, 0.324219f, 0.175781f}, + {0.867188f, 0.652344f, 0.875000f, 0.304688f}, {0.632812f, 0.746094f, 0.683594f, 0.371094f}, + {0.183594f, 0.214844f, 0.273438f, 0.851562f}, {0.773438f, 0.832031f, 0.921875f, 0.667969f}, + {0.589844f, 0.011719f, 0.703125f, 0.992188f}, {0.691406f, 0.433594f, 0.113281f, 0.300781f}, + {0.003906f, 0.246094f, 0.933594f, 0.457031f}, {0.511719f, 0.984375f, 0.320312f, 0.843750f}, + {0.300781f, 0.496094f, 0.886719f, 0.203125f}, {0.433594f, 0.578125f, 0.390625f, 0.539062f}, + {0.914062f, 0.648438f, 0.007812f, 0.121094f}, {0.085938f, 0.421875f, 0.867188f, 0.824219f}, + {0.683594f, 0.117188f, 0.753906f, 0.015625f}, {0.304688f, 0.750000f, 0.210938f, 0.460938f}, + {0.113281f, 0.355469f, 0.828125f, 0.113281f}, {0.367188f, 0.843750f, 0.472656f, 0.718750f}, + {0.988281f, 0.621094f, 0.167969f, 0.035156f}, {0.050781f, 0.308594f, 0.710938f, 0.363281f}, + {0.171875f, 0.144531f, 0.871094f, 0.667969f}, {0.929688f, 0.515625f, 0.648438f, 0.265625f}, + {0.363281f, 0.781250f, 0.542969f, 0.183594f}, {0.859375f, 0.203125f, 0.226562f, 0.335938f}, + {0.609375f, 0.878906f, 0.574219f, 0.496094f}, {0.386719f, 0.621094f, 0.003906f, 0.800781f}, + {0.644531f, 0.378906f, 0.628906f, 0.625000f}, {0.871094f, 0.757812f, 0.437500f, 0.324219f}, + {0.238281f, 0.082031f, 0.160156f, 0.750000f}, {0.355469f, 0.535156f, 0.984375f, 0.519531f}, + {0.691406f, 0.308594f, 0.734375f, 0.960938f}, {0.167969f, 0.722656f, 0.480469f, 0.628906f}, + {0.550781f, 0.390625f, 0.179688f, 0.792969f}, {0.070312f, 0.511719f, 0.441406f, 0.347656f}, + {0.906250f, 0.843750f, 0.363281f, 0.023438f}, {0.589844f, 0.636719f, 0.203125f, 0.289062f}, + {0.449219f, 0.070312f, 0.007812f, 0.695312f}, {0.238281f, 0.566406f, 0.746094f, 0.382812f}, + {0.683594f, 0.953125f, 0.492188f, 0.832031f}, {0.855469f, 0.324219f, 0.062500f, 0.328125f}, + {0.093750f, 0.812500f, 0.156250f, 0.093750f}, {0.253906f, 0.917969f, 0.609375f, 0.929688f}, + {0.925781f, 0.550781f, 0.710938f, 0.812500f}, {0.574219f, 0.082031f, 0.843750f, 0.304688f}, + {0.109375f, 0.894531f, 0.308594f, 0.066406f}, {0.234375f, 0.718750f, 0.550781f, 0.941406f}, + {0.683594f, 0.851562f, 0.699219f, 0.371094f}, {0.410156f, 0.773438f, 0.402344f, 0.636719f}, + {0.308594f, 0.335938f, 0.136719f, 0.843750f}, {0.519531f, 0.175781f, 0.820312f, 0.687500f}, + {0.109375f, 0.820312f, 0.292969f, 0.527344f}, {0.457031f, 0.539062f, 0.183594f, 0.191406f}, + {0.742188f, 0.617188f, 0.847656f, 0.750000f}, {0.539062f, 0.363281f, 0.617188f, 0.566406f}, + {0.085938f, 0.500000f, 0.140625f, 0.449219f}, {0.890625f, 0.578125f, 0.937500f, 0.699219f}, + {0.632812f, 0.113281f, 0.664062f, 0.917969f}, {0.128906f, 0.660156f, 0.105469f, 0.582031f}, + {0.375000f, 0.933594f, 0.812500f, 0.410156f}, {0.652344f, 0.160156f, 0.882812f, 0.132812f}, + {0.503906f, 0.820312f, 0.691406f, 0.253906f}, {0.941406f, 0.457031f, 0.300781f, 0.851562f}, + {0.550781f, 0.734375f, 0.546875f, 0.656250f}, {0.902344f, 0.175781f, 0.488281f, 0.000000f}, + {0.437500f, 0.593750f, 0.730469f, 0.753906f}, {0.125000f, 0.261719f, 0.785156f, 0.437500f}, + {0.570312f, 0.816406f, 0.203125f, 0.632812f}, {0.500000f, 0.074219f, 0.417969f, 0.949219f}, + {0.031250f, 0.351562f, 0.632812f, 0.472656f}, {0.839844f, 0.601562f, 0.343750f, 0.152344f}, + {0.136719f, 0.128906f, 0.187500f, 0.753906f}, {0.476562f, 0.886719f, 0.597656f, 0.101562f}, + {0.371094f, 0.550781f, 0.265625f, 0.578125f}, {0.792969f, 0.187500f, 0.722656f, 0.925781f}, + {0.164062f, 0.089844f, 0.203125f, 0.070312f}, {0.660156f, 0.035156f, 0.617188f, 0.417969f}, + {0.359375f, 0.324219f, 0.476562f, 0.671875f}, {0.539062f, 0.871094f, 0.542969f, 0.300781f}, + {0.812500f, 0.195312f, 0.925781f, 0.750000f}, {0.171875f, 0.675781f, 0.433594f, 0.394531f}, + {0.492188f, 0.066406f, 0.597656f, 0.210938f}, {0.710938f, 0.507812f, 0.675781f, 0.281250f}, + {0.574219f, 0.765625f, 0.964844f, 0.851562f}, {0.808594f, 0.226562f, 0.250000f, 0.468750f}, + {0.316406f, 0.925781f, 0.367188f, 0.757812f}, {0.675781f, 0.656250f, 0.816406f, 0.429688f}, + {0.214844f, 0.265625f, 0.062500f, 0.539062f}, {0.457031f, 0.953125f, 0.937500f, 0.722656f}, + {0.972656f, 0.101562f, 0.410156f, 0.132812f}, {0.070312f, 0.800781f, 0.320312f, 0.929688f}, + {0.320312f, 0.500000f, 0.769531f, 0.261719f}, {0.527344f, 0.218750f, 0.085938f, 0.472656f}, + {0.015625f, 0.851562f, 0.550781f, 0.820312f}, {0.960938f, 0.359375f, 0.285156f, 0.210938f}, + {0.609375f, 0.144531f, 0.062500f, 0.371094f}, {0.292969f, 0.812500f, 0.925781f, 0.058594f}, + {0.664062f, 0.226562f, 0.308594f, 0.242188f}, {0.863281f, 0.582031f, 0.671875f, 0.488281f}, + {0.332031f, 0.292969f, 0.765625f, 0.945312f}, {0.023438f, 0.910156f, 0.988281f, 0.183594f}, + {0.726562f, 0.734375f, 0.621094f, 0.531250f}, {0.968750f, 0.261719f, 0.898438f, 0.902344f}, + {0.058594f, 0.851562f, 0.675781f, 0.046875f}, {0.320312f, 0.187500f, 0.292969f, 0.609375f}, + {0.781250f, 0.449219f, 0.949219f, 0.167969f}, {0.410156f, 0.054688f, 0.882812f, 0.441406f}, + {0.667969f, 0.210938f, 0.207031f, 0.542969f}, {0.296875f, 0.667969f, 0.468750f, 0.855469f}, + {0.871094f, 0.417969f, 0.980469f, 0.148438f}, {0.761719f, 0.164062f, 0.765625f, 0.699219f}, + {0.914062f, 0.460938f, 0.035156f, 0.511719f}, {0.148438f, 0.027344f, 0.871094f, 0.007812f}, + {0.800781f, 0.929688f, 0.210938f, 0.988281f}, {0.199219f, 0.675781f, 0.945312f, 0.128906f}, + {0.574219f, 0.230469f, 0.027344f, 0.796875f}, {0.875000f, 0.980469f, 0.781250f, 0.648438f}, + {0.140625f, 0.144531f, 0.542969f, 0.968750f}, {0.609375f, 0.003906f, 0.359375f, 0.238281f}, + {0.335938f, 0.683594f, 0.222656f, 0.148438f}, {0.476562f, 0.171875f, 0.761719f, 0.308594f}, + {0.757812f, 0.902344f, 0.402344f, 0.105469f}, {0.562500f, 0.445312f, 0.324219f, 0.757812f}, + {0.972656f, 0.039062f, 0.527344f, 0.050781f}, {0.019531f, 0.570312f, 0.054688f, 0.933594f}, + {0.296875f, 0.964844f, 0.457031f, 0.562500f}, {0.695312f, 0.351562f, 0.984375f, 0.183594f}, + {0.078125f, 0.636719f, 0.800781f, 0.382812f}, {0.347656f, 0.082031f, 0.402344f, 0.093750f}, + {0.804688f, 0.988281f, 0.257812f, 0.921875f}, {0.191406f, 0.316406f, 0.101562f, 0.535156f}, + {0.707031f, 0.453125f, 0.570312f, 0.722656f}, {0.937500f, 0.160156f, 0.996094f, 0.050781f}, + {0.363281f, 0.960938f, 0.023438f, 0.230469f}, {0.671875f, 0.480469f, 0.496094f, 0.414062f}, + {0.320312f, 0.296875f, 0.859375f, 0.554688f}, {0.949219f, 0.644531f, 0.386719f, 0.261719f}, + {0.867188f, 0.757812f, 0.035156f, 0.648438f}, {0.226562f, 0.359375f, 0.460938f, 0.726562f}, + {0.714844f, 0.804688f, 0.816406f, 0.328125f}, {0.996094f, 0.914062f, 0.980469f, 0.886719f}, + {0.023438f, 0.257812f, 0.250000f, 0.976562f}, {0.265625f, 0.773438f, 0.789062f, 0.171875f}, + {0.605469f, 0.472656f, 0.046875f, 0.636719f}, {0.449219f, 0.945312f, 0.273438f, 0.957031f}, + {0.902344f, 0.250000f, 0.128906f, 0.582031f}, {0.000000f, 0.906250f, 0.332031f, 0.519531f}, + {0.273438f, 0.101562f, 0.042969f, 0.175781f}, {0.421875f, 0.386719f, 0.515625f, 0.988281f}, + {0.742188f, 0.820312f, 0.605469f, 0.605469f}, {0.589844f, 0.453125f, 0.132812f, 0.066406f}, + {0.128906f, 0.066406f, 0.285156f, 0.910156f}, {0.800781f, 0.550781f, 0.714844f, 0.835938f}, + {0.699219f, 0.421875f, 0.855469f, 0.398438f}, {0.175781f, 0.304688f, 0.175781f, 0.664062f}, + {0.738281f, 0.039062f, 0.683594f, 0.074219f}, {0.832031f, 0.984375f, 0.898438f, 0.867188f}, + {0.574219f, 0.437500f, 0.363281f, 0.144531f}, {0.421875f, 0.640625f, 0.859375f, 0.597656f}, + {0.898438f, 0.937500f, 0.640625f, 0.906250f}, {0.125000f, 0.484375f, 0.214844f, 0.449219f}, + {0.472656f, 0.000000f, 0.808594f, 0.675781f}, {0.218750f, 0.960938f, 0.109375f, 0.847656f}, + {0.425781f, 0.167969f, 0.539062f, 0.585938f}, {0.800781f, 0.460938f, 0.257812f, 0.734375f}, + {0.289062f, 0.125000f, 0.402344f, 0.070312f}, {0.179688f, 0.777344f, 0.125000f, 0.648438f}, + {0.890625f, 0.011719f, 0.187500f, 0.480469f}, {0.628906f, 0.492188f, 0.558594f, 0.761719f}, + {0.144531f, 0.691406f, 0.769531f, 0.957031f}, {0.957031f, 0.765625f, 0.378906f, 0.351562f}, + {0.187500f, 0.292969f, 0.074219f, 0.222656f}, {0.496094f, 0.957031f, 0.589844f, 0.652344f}, + {0.378906f, 0.597656f, 0.128906f, 0.410156f}, {0.007812f, 0.316406f, 0.269531f, 0.273438f}, + {0.449219f, 0.644531f, 0.367188f, 0.777344f}, {0.542969f, 0.093750f, 0.648438f, 0.234375f}, + {0.660156f, 0.582031f, 0.503906f, 0.335938f}, {0.941406f, 0.382812f, 0.585938f, 0.421875f}, + {0.031250f, 0.042969f, 0.117188f, 0.285156f}, {0.414062f, 0.304688f, 0.679688f, 0.082031f}, + {0.781250f, 0.722656f, 0.484375f, 0.351562f}, {0.277344f, 0.800781f, 0.875000f, 0.496094f}, + {0.914062f, 0.265625f, 0.007812f, 0.816406f}, {0.406250f, 0.968750f, 0.445312f, 0.628906f}, + {0.066406f, 0.339844f, 0.710938f, 0.375000f}, {0.261719f, 0.746094f, 0.968750f, 0.878906f}, + {0.203125f, 0.800781f, 0.160156f, 0.511719f}, {0.812500f, 0.312500f, 0.613281f, 0.328125f}, + {0.414062f, 0.691406f, 0.359375f, 0.445312f}, {0.148438f, 0.007812f, 0.179688f, 0.625000f}, + {0.238281f, 0.226562f, 0.027344f, 0.785156f}, {0.476562f, 0.507812f, 0.664062f, 0.875000f}, + {0.648438f, 0.390625f, 0.945312f, 0.210938f}, {0.972656f, 0.710938f, 0.367188f, 0.269531f}, + {0.285156f, 0.558594f, 0.464844f, 0.128906f}, {0.082031f, 0.679688f, 0.816406f, 0.832031f}, + {0.457031f, 0.769531f, 0.078125f, 0.601562f}, {0.242188f, 0.867188f, 0.738281f, 0.898438f}, + {0.750000f, 0.394531f, 0.554688f, 0.019531f}, {0.101562f, 0.042969f, 0.968750f, 0.367188f}, + {0.621094f, 0.957031f, 0.769531f, 0.820312f}, {0.046875f, 0.449219f, 0.660156f, 0.492188f}, + {0.562500f, 0.613281f, 0.089844f, 0.234375f}, {0.480469f, 0.710938f, 0.335938f, 0.027344f}, + {0.851562f, 0.402344f, 0.156250f, 0.566406f}, {0.144531f, 0.554688f, 0.691406f, 0.507812f}, + {0.957031f, 0.023438f, 0.378906f, 0.355469f}, {0.750000f, 0.605469f, 0.640625f, 0.054688f}, + {0.207031f, 0.722656f, 0.941406f, 0.878906f}, {0.644531f, 0.429688f, 0.847656f, 0.660156f}, + {0.847656f, 0.558594f, 0.773438f, 0.328125f}, {0.089844f, 0.691406f, 0.425781f, 0.125000f}, + {0.480469f, 0.000000f, 0.195312f, 0.816406f}, {0.960938f, 0.332031f, 0.992188f, 0.226562f}, + {0.019531f, 0.750000f, 0.457031f, 0.304688f}, {0.546875f, 0.175781f, 0.503906f, 0.027344f}, + {0.253906f, 0.703125f, 0.046875f, 0.566406f}, {0.433594f, 0.898438f, 0.601562f, 0.199219f}, + {0.925781f, 0.582031f, 0.972656f, 0.359375f}, {0.136719f, 0.687500f, 0.250000f, 0.699219f}, + {0.269531f, 0.183594f, 0.468750f, 0.417969f}, {0.792969f, 0.066406f, 0.031250f, 0.003906f}, + {0.050781f, 0.566406f, 0.578125f, 0.718750f}, {0.710938f, 0.273438f, 0.414062f, 0.093750f}, + {0.769531f, 0.695312f, 0.500000f, 0.300781f}, {0.976562f, 0.792969f, 0.867188f, 0.152344f}, + {0.093750f, 0.613281f, 0.054688f, 0.410156f}, {0.652344f, 0.339844f, 0.722656f, 0.808594f}, + {0.570312f, 0.527344f, 0.804688f, 0.214844f}, {0.480469f, 0.398438f, 0.324219f, 0.312500f}, + {0.371094f, 0.996094f, 0.851562f, 0.867188f}, {0.531250f, 0.621094f, 0.429688f, 0.250000f}, + {0.441406f, 0.117188f, 0.039062f, 0.574219f}, {0.718750f, 0.355469f, 0.250000f, 0.703125f}, + {0.843750f, 0.867188f, 0.515625f, 0.050781f}, {0.078125f, 0.511719f, 0.816406f, 0.976562f}, + {0.621094f, 0.000000f, 0.667969f, 0.589844f}, {0.992188f, 0.800781f, 0.441406f, 0.882812f}, + {0.277344f, 0.988281f, 0.898438f, 0.093750f}, {0.058594f, 0.277344f, 0.070312f, 0.722656f}, + {0.351562f, 0.867188f, 0.746094f, 0.914062f}, {0.246094f, 0.507812f, 0.343750f, 0.601562f}, + {0.707031f, 0.433594f, 0.996094f, 0.875000f}, {0.972656f, 0.640625f, 0.394531f, 0.406250f}, + {0.664062f, 0.894531f, 0.253906f, 0.710938f}, {0.195312f, 0.406250f, 0.640625f, 0.906250f}, + {0.015625f, 0.480469f, 0.921875f, 0.035156f}, {0.800781f, 0.070312f, 0.582031f, 0.953125f}, + {0.679688f, 0.628906f, 0.062500f, 0.199219f}, {0.855469f, 0.218750f, 0.273438f, 0.265625f}, + {0.449219f, 0.492188f, 0.792969f, 0.664062f}, {0.714844f, 0.101562f, 0.906250f, 0.808594f}, + {0.578125f, 0.894531f, 0.714844f, 0.980469f}, {0.957031f, 0.421875f, 0.246094f, 0.058594f}, + {0.757812f, 0.851562f, 0.578125f, 0.304688f}, {0.886719f, 0.789062f, 0.839844f, 0.488281f}, + {0.000000f, 0.925781f, 0.140625f, 0.679688f}, {0.523438f, 0.121094f, 0.617188f, 0.355469f}, + {0.406250f, 0.886719f, 0.710938f, 0.984375f}, {0.769531f, 0.035156f, 0.285156f, 0.503906f}, + {0.890625f, 0.242188f, 0.906250f, 0.292969f}, {0.574219f, 0.531250f, 0.242188f, 0.703125f}, + {0.171875f, 0.179688f, 0.121094f, 0.769531f}, {0.527344f, 0.718750f, 0.308594f, 0.968750f}, + {0.433594f, 0.226562f, 0.171875f, 0.171875f}, {0.281250f, 0.105469f, 0.523438f, 0.125000f}, + {0.761719f, 0.285156f, 0.417969f, 0.402344f}, {0.328125f, 0.515625f, 0.574219f, 0.691406f}, + {0.406250f, 0.164062f, 0.910156f, 0.792969f}, {0.652344f, 0.996094f, 0.101562f, 0.109375f}, + {0.062500f, 0.121094f, 0.507812f, 0.832031f}, {0.320312f, 0.378906f, 0.742188f, 0.242188f}, + {0.390625f, 0.316406f, 0.175781f, 0.703125f}, {0.527344f, 0.156250f, 0.558594f, 0.417969f}, + {0.933594f, 0.972656f, 0.085938f, 0.000000f}, {0.160156f, 0.199219f, 0.722656f, 0.734375f}, + {0.242188f, 0.589844f, 0.898438f, 0.378906f}, {0.386719f, 0.941406f, 0.664062f, 0.503906f}, + {0.652344f, 0.851562f, 0.339844f, 0.695312f}, {0.910156f, 0.628906f, 0.765625f, 0.953125f}, + {0.343750f, 0.367188f, 0.218750f, 0.460938f}, {0.503906f, 0.136719f, 0.386719f, 0.769531f}, + {0.078125f, 0.816406f, 0.117188f, 0.976562f}, {0.632812f, 0.257812f, 0.523438f, 0.511719f}, + {0.378906f, 0.335938f, 0.722656f, 0.281250f}, {0.203125f, 0.769531f, 0.789062f, 0.558594f}, + {0.511719f, 0.882812f, 0.144531f, 0.953125f}, {0.347656f, 0.117188f, 0.695312f, 0.769531f}, + {0.253906f, 0.371094f, 0.964844f, 0.523438f}, {0.542969f, 0.425781f, 0.355469f, 0.878906f}, + {0.382812f, 0.082031f, 0.167969f, 0.109375f}, {0.910156f, 0.894531f, 0.582031f, 0.363281f}, + {0.132812f, 0.707031f, 0.472656f, 0.980469f}, {0.765625f, 0.210938f, 0.023438f, 0.445312f}, + {0.000000f, 0.304688f, 0.976562f, 0.148438f}, {0.820312f, 0.542969f, 0.695312f, 0.023438f}, + {0.230469f, 0.925781f, 0.625000f, 0.398438f}, {0.042969f, 0.429688f, 0.902344f, 0.792969f}, + {0.554688f, 0.152344f, 0.738281f, 0.117188f}, {0.339844f, 0.730469f, 0.320312f, 0.480469f}, + {0.804688f, 0.234375f, 0.960938f, 0.187500f}, {0.714844f, 0.375000f, 0.183594f, 0.347656f}, + {0.578125f, 0.492188f, 0.539062f, 0.457031f}, {0.859375f, 0.203125f, 0.230469f, 0.550781f}, + {0.769531f, 0.730469f, 0.832031f, 0.175781f}, {0.484375f, 0.789062f, 0.453125f, 0.031250f}, + {0.308594f, 0.953125f, 0.718750f, 0.746094f}, {0.066406f, 0.554688f, 0.890625f, 0.214844f}, + {0.378906f, 0.105469f, 0.085938f, 0.121094f}, {0.503906f, 0.195312f, 0.316406f, 0.605469f}, + {0.949219f, 0.867188f, 0.167969f, 0.429688f}, {0.546875f, 0.531250f, 0.824219f, 0.542969f}, + {0.316406f, 0.832031f, 0.207031f, 0.718750f}, {0.117188f, 0.390625f, 0.554688f, 0.460938f}, + {0.515625f, 0.152344f, 0.492188f, 0.011719f}, {0.906250f, 0.597656f, 0.117188f, 0.156250f}, + {0.046875f, 0.261719f, 0.417969f, 0.234375f}, {0.625000f, 0.542969f, 0.773438f, 0.707031f}, + {0.386719f, 0.667969f, 0.476562f, 0.121094f}, {0.308594f, 0.062500f, 0.320312f, 0.593750f}, + {0.167969f, 0.285156f, 0.886719f, 0.417969f}, {0.601562f, 0.199219f, 0.042969f, 0.777344f}, + {0.835938f, 0.425781f, 0.187500f, 0.082031f}, {0.214844f, 0.343750f, 0.539062f, 0.648438f}, + {0.023438f, 0.632812f, 0.398438f, 0.390625f}, {0.640625f, 0.093750f, 0.671875f, 0.195312f}, + {0.984375f, 0.820312f, 0.445312f, 0.074219f}, {0.382812f, 0.921875f, 0.617188f, 0.449219f}, + {0.910156f, 0.492188f, 0.828125f, 0.531250f}, {0.832031f, 0.683594f, 0.941406f, 0.859375f}, + {0.125000f, 0.859375f, 0.046875f, 0.941406f}, {0.929688f, 0.058594f, 0.750000f, 0.617188f}, + {0.218750f, 0.816406f, 0.835938f, 0.273438f}, {0.730469f, 0.222656f, 0.296875f, 0.441406f}, + {0.574219f, 0.652344f, 0.441406f, 0.921875f}, {0.832031f, 0.886719f, 0.878906f, 0.484375f}, + {0.117188f, 0.835938f, 0.226562f, 0.085938f}, {0.773438f, 0.050781f, 0.476562f, 0.781250f}, + {0.343750f, 0.789062f, 0.292969f, 0.929688f}, {0.695312f, 0.468750f, 0.382812f, 0.535156f}, + {0.882812f, 0.281250f, 0.019531f, 0.898438f}, {0.785156f, 0.125000f, 0.804688f, 0.160156f}, + {0.304688f, 0.507812f, 0.101562f, 0.640625f}, {0.093750f, 0.230469f, 0.546875f, 0.105469f}, + {0.839844f, 0.968750f, 0.929688f, 0.253906f}, {0.593750f, 0.476562f, 0.652344f, 0.605469f}, + {0.773438f, 0.011719f, 0.816406f, 0.046875f}, {0.976562f, 0.527344f, 0.304688f, 0.890625f}, + {0.464844f, 0.941406f, 0.187500f, 0.183594f}, {0.660156f, 0.460938f, 0.921875f, 0.804688f}, + {0.875000f, 0.718750f, 0.328125f, 0.335938f}, {0.933594f, 0.175781f, 0.246094f, 0.214844f}, + {0.011719f, 0.636719f, 0.000000f, 0.640625f}, {0.628906f, 0.980469f, 0.632812f, 0.925781f}, + {0.187500f, 0.246094f, 0.281250f, 0.261719f}, {0.835938f, 0.046875f, 0.921875f, 0.617188f}, + {0.273438f, 0.832031f, 0.660156f, 0.542969f}, {0.691406f, 0.648438f, 0.226562f, 0.726562f}, + {0.988281f, 0.882812f, 0.527344f, 0.675781f}, {0.597656f, 0.039062f, 0.351562f, 0.921875f}, + {0.304688f, 0.253906f, 0.152344f, 0.515625f}, {0.902344f, 0.804688f, 0.484375f, 0.277344f}, + {0.656250f, 0.632812f, 0.113281f, 0.898438f}, {0.257812f, 0.078125f, 0.410156f, 0.742188f}, + {0.132812f, 0.566406f, 0.000000f, 0.828125f}, {0.210938f, 0.914062f, 0.781250f, 0.042969f}, + {0.394531f, 0.675781f, 0.613281f, 0.949219f}, {0.171875f, 0.117188f, 0.929688f, 0.664062f}, + {0.910156f, 0.351562f, 0.300781f, 0.808594f}, {0.605469f, 0.160156f, 0.160156f, 0.503906f}, + {0.214844f, 0.695312f, 0.597656f, 0.980469f}, {0.550781f, 0.246094f, 0.207031f, 0.562500f}, + {0.847656f, 0.335938f, 0.789062f, 0.851562f}, {0.152344f, 0.601562f, 0.519531f, 0.277344f}, + {0.722656f, 0.738281f, 0.742188f, 0.171875f}, {0.226562f, 0.296875f, 0.375000f, 0.777344f}, + {0.625000f, 0.031250f, 0.683594f, 0.078125f}, {0.984375f, 0.917969f, 0.867188f, 0.851562f}, + {0.171875f, 0.710938f, 0.339844f, 0.585938f}, {0.351562f, 0.996094f, 0.011719f, 0.746094f}, + {0.277344f, 0.765625f, 0.636719f, 0.406250f}, {0.101562f, 0.183594f, 0.964844f, 0.890625f}, + {0.539062f, 0.332031f, 0.089844f, 0.542969f}, {0.847656f, 0.472656f, 0.218750f, 0.960938f}, + {0.722656f, 0.621094f, 0.515625f, 0.015625f}, {0.109375f, 0.750000f, 0.750000f, 0.859375f}, + {0.355469f, 0.835938f, 0.347656f, 0.167969f}, {0.679688f, 0.976562f, 0.949219f, 0.562500f}, + {0.496094f, 0.468750f, 0.148438f, 0.812500f}, {0.292969f, 0.281250f, 0.789062f, 0.945312f}, + {0.789062f, 0.585938f, 0.882812f, 0.335938f}, {0.062500f, 0.324219f, 0.007812f, 0.679688f}, + {0.695312f, 0.410156f, 0.214844f, 0.597656f}, {0.191406f, 0.140625f, 0.371094f, 0.292969f}, + {0.636719f, 0.933594f, 0.261719f, 0.054688f}, {0.078125f, 0.351562f, 0.675781f, 0.753906f}, + {0.515625f, 0.585938f, 0.191406f, 0.195312f}, {0.886719f, 0.742188f, 0.625000f, 0.332031f}, + {0.441406f, 0.457031f, 0.988281f, 0.726562f}, {0.253906f, 0.265625f, 0.015625f, 0.156250f}, + {0.980469f, 0.511719f, 0.355469f, 0.570312f}, {0.031250f, 0.628906f, 0.824219f, 0.296875f}, + {0.617188f, 0.347656f, 0.949219f, 0.203125f}, {0.566406f, 0.875000f, 0.636719f, 0.621094f}, + {0.058594f, 0.664062f, 0.246094f, 0.257812f}, {0.515625f, 0.734375f, 0.574219f, 0.437500f}, + {0.183594f, 0.406250f, 0.167969f, 0.796875f}, {0.414062f, 0.062500f, 0.273438f, 0.343750f}, + {0.703125f, 0.292969f, 0.843750f, 0.855469f}, {0.222656f, 0.781250f, 0.011719f, 0.152344f}, + {0.023438f, 0.648438f, 0.437500f, 0.312500f}, {0.292969f, 0.382812f, 0.582031f, 0.738281f}, + {0.726562f, 0.851562f, 0.074219f, 0.628906f}, {0.066406f, 0.050781f, 0.406250f, 0.121094f}, + {0.171875f, 0.300781f, 0.843750f, 0.464844f}, {0.585938f, 0.542969f, 0.539062f, 0.386719f}, + {0.804688f, 0.839844f, 0.750000f, 0.039062f}, {0.453125f, 0.500000f, 0.882812f, 0.707031f}, + {0.722656f, 0.757812f, 0.445312f, 0.484375f}, {0.066406f, 0.578125f, 0.382812f, 0.007812f}, + {0.429688f, 0.449219f, 0.835938f, 0.789062f}, {0.347656f, 0.109375f, 0.085938f, 0.089844f}, + {0.203125f, 0.378906f, 0.781250f, 0.343750f}, {0.085938f, 0.742188f, 0.269531f, 0.835938f}, + {0.742188f, 0.585938f, 0.929688f, 0.179688f}, {0.394531f, 0.191406f, 0.839844f, 0.632812f}, + {0.964844f, 0.960938f, 0.210938f, 0.328125f}, {0.515625f, 0.464844f, 0.570312f, 0.539062f}, + {0.460938f, 0.828125f, 0.710938f, 0.226562f}, {0.941406f, 0.042969f, 0.351562f, 0.613281f}, + {0.671875f, 0.425781f, 0.085938f, 0.386719f}, {0.085938f, 0.882812f, 0.484375f, 0.128906f}, + {0.437500f, 0.617188f, 0.660156f, 0.253906f}, {0.125000f, 0.058594f, 0.015625f, 0.324219f}, + {0.929688f, 0.468750f, 0.550781f, 0.632812f}, {0.792969f, 0.824219f, 0.425781f, 0.468750f}, + {0.636719f, 0.023438f, 0.949219f, 0.007812f}, {0.335938f, 0.937500f, 0.046875f, 0.667969f}, + {0.882812f, 0.437500f, 0.468750f, 0.339844f}, {0.437500f, 0.125000f, 0.976562f, 0.976562f}, + {0.085938f, 0.671875f, 0.082031f, 0.394531f}, {0.398438f, 0.562500f, 0.433594f, 0.308594f}, + {0.773438f, 0.351562f, 0.937500f, 0.925781f}, {0.664062f, 0.453125f, 0.742188f, 0.523438f}, + {0.871094f, 0.046875f, 0.289062f, 0.351562f}, {0.792969f, 0.871094f, 0.847656f, 0.832031f}, + {0.195312f, 0.132812f, 0.378906f, 0.261719f}, {0.425781f, 0.964844f, 0.687500f, 0.187500f}, + {0.996094f, 0.570312f, 0.933594f, 0.734375f}, {0.253906f, 0.011719f, 0.429688f, 0.316406f}, + {0.906250f, 0.519531f, 0.820312f, 0.457031f}, {0.140625f, 0.132812f, 0.644531f, 0.250000f}, + {0.820312f, 0.667969f, 0.074219f, 0.035156f}, {0.089844f, 0.902344f, 0.500000f, 0.488281f}, + {0.449219f, 0.781250f, 0.324219f, 0.871094f}, {0.339844f, 0.000000f, 0.562500f, 0.230469f}, + {0.246094f, 0.546875f, 0.695312f, 0.101562f}, {0.578125f, 0.644531f, 0.898438f, 0.804688f}, + {0.460938f, 0.757812f, 0.496094f, 0.367188f}, {0.796875f, 0.437500f, 0.117188f, 0.476562f}, + {0.359375f, 0.304688f, 0.347656f, 0.984375f}, {0.015625f, 0.906250f, 0.542969f, 0.015625f}, + {0.175781f, 0.007812f, 0.074219f, 0.605469f}, {0.660156f, 0.703125f, 0.718750f, 0.882812f}, + {0.496094f, 0.183594f, 0.582031f, 0.382812f}, {0.410156f, 0.761719f, 0.687500f, 0.968750f}, + {0.199219f, 0.093750f, 0.117188f, 0.460938f}, {0.285156f, 0.222656f, 0.519531f, 0.070312f}, + {0.445312f, 0.539062f, 0.855469f, 0.859375f}, {0.746094f, 0.023438f, 0.445312f, 0.039062f}, + {0.996094f, 0.828125f, 0.957031f, 0.558594f}, {0.625000f, 0.914062f, 0.714844f, 0.707031f}, + {0.890625f, 0.574219f, 0.484375f, 0.917969f}, {0.144531f, 0.089844f, 0.355469f, 0.527344f}, + {0.367188f, 0.710938f, 0.894531f, 0.390625f}, {0.906250f, 0.160156f, 0.746094f, 0.441406f}, + {0.531250f, 0.218750f, 0.671875f, 0.062500f}, {0.828125f, 0.605469f, 0.957031f, 0.851562f}, + {0.324219f, 0.414062f, 0.617188f, 0.992188f}, {0.406250f, 0.917969f, 0.113281f, 0.601562f}, + {0.125000f, 0.023438f, 0.480469f, 0.160156f}, {0.296875f, 0.328125f, 0.199219f, 0.828125f}, + {0.953125f, 0.191406f, 0.070312f, 0.429688f}, {0.527344f, 0.941406f, 0.730469f, 0.199219f}, + {0.609375f, 0.289062f, 0.140625f, 0.894531f}, {0.929688f, 0.160156f, 0.949219f, 0.285156f}, + {0.503906f, 0.812500f, 0.601562f, 0.582031f}, {0.863281f, 0.484375f, 0.421875f, 0.464844f}, + {0.457031f, 0.082031f, 0.058594f, 0.078125f}, {0.164062f, 0.398438f, 0.644531f, 0.968750f}, + {0.097656f, 0.281250f, 0.300781f, 0.425781f}, {0.781250f, 0.695312f, 0.945312f, 0.003906f}, + {0.015625f, 0.328125f, 0.871094f, 0.695312f}, {0.851562f, 0.179688f, 0.257812f, 0.292969f}, + {0.531250f, 0.777344f, 0.144531f, 0.765625f}, {0.328125f, 0.527344f, 0.859375f, 0.863281f}, + {0.824219f, 0.296875f, 0.375000f, 0.437500f}, {0.726562f, 0.917969f, 0.808594f, 0.062500f}, + {0.273438f, 0.394531f, 0.109375f, 0.164062f}, {0.417969f, 0.515625f, 0.332031f, 0.378906f}, + {0.097656f, 0.761719f, 0.695312f, 0.792969f}, {0.472656f, 0.652344f, 0.609375f, 0.898438f}, + {0.039062f, 0.171875f, 0.277344f, 0.511719f}, {0.261719f, 0.976562f, 0.136719f, 0.695312f}, + {0.828125f, 0.238281f, 0.648438f, 0.140625f}, {0.585938f, 0.792969f, 0.234375f, 0.632812f}, + {0.007812f, 0.082031f, 0.593750f, 0.218750f}, {0.492188f, 0.281250f, 0.152344f, 0.097656f}, + {0.234375f, 0.636719f, 0.199219f, 0.652344f}, {0.457031f, 0.402344f, 0.542969f, 0.035156f}, + {0.691406f, 0.714844f, 0.050781f, 0.476562f}, {0.054688f, 0.808594f, 0.625000f, 0.382812f}, + {0.628906f, 0.371094f, 0.125000f, 0.617188f}, {0.480469f, 0.253906f, 0.261719f, 0.933594f}, + {0.558594f, 0.699219f, 0.015625f, 0.667969f}, {0.414062f, 0.394531f, 0.585938f, 0.902344f}, + {0.964844f, 0.214844f, 0.230469f, 0.746094f}, {0.726562f, 0.070312f, 0.968750f, 0.136719f}, + {0.609375f, 0.714844f, 0.742188f, 0.628906f}, {0.871094f, 0.171875f, 0.109375f, 0.425781f}, + {0.035156f, 0.988281f, 0.421875f, 0.917969f}, {0.742188f, 0.253906f, 0.781250f, 0.710938f}, + {0.972656f, 0.039062f, 0.605469f, 0.554688f}, {0.285156f, 0.191406f, 0.968750f, 0.140625f}, + {0.554688f, 0.531250f, 0.851562f, 0.656250f}, {0.949219f, 0.101562f, 0.406250f, 0.828125f}, + {0.710938f, 0.394531f, 0.242188f, 0.507812f}, {0.312500f, 0.953125f, 0.796875f, 0.265625f}, + {0.816406f, 0.566406f, 0.156250f, 0.683594f}, {0.902344f, 0.433594f, 0.425781f, 0.121094f}, + {0.726562f, 0.921875f, 0.210938f, 0.820312f}, {0.953125f, 0.386719f, 0.054688f, 0.726562f}, + {0.132812f, 0.988281f, 0.761719f, 0.320312f}, {0.847656f, 0.167969f, 0.320312f, 0.996094f}, + {0.007812f, 0.445312f, 0.398438f, 0.406250f}, {0.261719f, 0.621094f, 0.632812f, 0.210938f}, + {0.472656f, 0.343750f, 0.082031f, 0.011719f}, {0.804688f, 0.882812f, 0.207031f, 0.656250f}, + {0.574219f, 0.429688f, 0.140625f, 0.816406f}, {0.429688f, 0.988281f, 0.265625f, 0.937500f}, + {0.246094f, 0.757812f, 0.488281f, 0.242188f}, {0.109375f, 0.109375f, 0.042969f, 0.675781f}, + {0.691406f, 0.675781f, 0.367188f, 0.507812f}, {0.992188f, 0.234375f, 0.292969f, 0.269531f}, + {0.500000f, 0.730469f, 0.808594f, 0.753906f}, {0.761719f, 0.128906f, 0.984375f, 0.312500f}, + {0.234375f, 0.667969f, 0.648438f, 0.964844f}, {0.851562f, 0.398438f, 0.550781f, 0.664062f}, + {0.039062f, 0.523438f, 0.312500f, 0.136719f}, {0.152344f, 0.699219f, 0.492188f, 0.406250f}, + {0.644531f, 0.976562f, 0.187500f, 0.945312f}, {0.253906f, 0.320312f, 0.710938f, 0.210938f}, + {0.687500f, 0.667969f, 0.546875f, 0.761719f}, {0.570312f, 0.898438f, 0.757812f, 0.667969f}, + {0.882812f, 0.769531f, 0.097656f, 0.144531f}, {0.359375f, 0.519531f, 0.460938f, 0.878906f}, + {0.597656f, 0.105469f, 0.675781f, 0.472656f}, {0.285156f, 0.976562f, 0.523438f, 0.996094f}, + {0.750000f, 0.250000f, 0.421875f, 0.082031f}, {0.050781f, 0.578125f, 0.980469f, 0.523438f}, + {0.625000f, 0.738281f, 0.742188f, 0.683594f}, {0.500000f, 0.214844f, 0.269531f, 0.937500f}, + {0.000000f, 0.992188f, 0.917969f, 0.296875f}, {0.187500f, 0.144531f, 0.832031f, 0.726562f}, + {0.988281f, 0.277344f, 0.156250f, 0.226562f}, {0.769531f, 0.363281f, 0.398438f, 0.097656f}, + {0.562500f, 0.570312f, 0.898438f, 0.437500f}, {0.687500f, 0.851562f, 0.531250f, 0.246094f}, + {0.941406f, 0.410156f, 0.839844f, 0.027344f}, {0.730469f, 0.511719f, 0.308594f, 0.867188f}, + {0.300781f, 0.199219f, 0.796875f, 0.492188f}, {0.914062f, 0.828125f, 0.496094f, 0.781250f}, + {0.132812f, 0.949219f, 0.703125f, 0.171875f}, {0.953125f, 0.527344f, 0.445312f, 0.941406f}, + {0.582031f, 0.230469f, 0.878906f, 0.691406f}, {0.339844f, 0.085938f, 0.781250f, 0.816406f}, + {0.804688f, 0.890625f, 0.570312f, 0.062500f}, {0.082031f, 0.164062f, 0.312500f, 0.523438f}, + {0.765625f, 0.785156f, 0.859375f, 0.101562f}, {0.312500f, 0.925781f, 0.453125f, 0.359375f}, + {0.230469f, 0.558594f, 0.691406f, 0.578125f}, {0.535156f, 0.335938f, 0.378906f, 0.277344f}, + {0.167969f, 0.441406f, 0.273438f, 0.777344f}, {0.941406f, 0.875000f, 0.855469f, 0.000000f}, + {0.507812f, 0.371094f, 0.160156f, 0.507812f}, {0.394531f, 0.800781f, 0.050781f, 0.191406f}, + {0.148438f, 0.597656f, 0.304688f, 0.261719f}, {0.679688f, 0.960938f, 0.457031f, 0.894531f}, + {0.226562f, 0.855469f, 0.027344f, 0.410156f}, {0.843750f, 0.675781f, 0.765625f, 0.093750f}, + {0.601562f, 0.796875f, 0.937500f, 0.222656f}, {0.097656f, 0.148438f, 0.488281f, 0.785156f}, + {0.148438f, 0.300781f, 0.320312f, 0.035156f}, {0.539062f, 0.039062f, 0.906250f, 0.632812f}, + {0.070312f, 0.609375f, 0.609375f, 0.363281f}, {0.671875f, 0.816406f, 0.972656f, 0.500000f}, + {0.371094f, 0.312500f, 0.699219f, 0.585938f}, {0.589844f, 0.699219f, 0.136719f, 0.148438f}, + {0.328125f, 0.261719f, 0.031250f, 0.773438f}, {0.546875f, 0.746094f, 0.910156f, 0.277344f}, + {0.105469f, 0.195312f, 0.589844f, 0.472656f}, {0.679688f, 0.519531f, 0.773438f, 0.109375f}, + {0.937500f, 0.246094f, 0.996094f, 0.722656f}, {0.179688f, 0.324219f, 0.558594f, 0.195312f}, + {0.753906f, 0.562500f, 0.878906f, 0.562500f}, {0.601562f, 0.488281f, 0.222656f, 0.355469f}, + {0.867188f, 0.949219f, 0.773438f, 0.105469f}, {0.210938f, 0.808594f, 0.167969f, 0.867188f}, + {0.648438f, 0.363281f, 0.574219f, 0.058594f}, {0.078125f, 0.468750f, 0.410156f, 0.574219f}, + {0.375000f, 0.878906f, 0.035156f, 0.515625f}, {0.679688f, 0.796875f, 0.234375f, 0.351562f}, + {0.316406f, 0.007812f, 0.765625f, 0.742188f}, {0.792969f, 0.609375f, 0.375000f, 0.625000f}, + {0.402344f, 0.234375f, 0.890625f, 0.808594f}, {0.019531f, 0.871094f, 0.007812f, 0.054688f}, + {0.824219f, 0.546875f, 0.332031f, 0.546875f}, {0.320312f, 0.015625f, 0.812500f, 0.363281f}, + {0.222656f, 0.144531f, 0.390625f, 0.246094f}, {0.722656f, 0.363281f, 0.167969f, 0.597656f}, + {0.417969f, 0.859375f, 0.031250f, 0.792969f}, {0.179688f, 0.648438f, 0.800781f, 0.167969f}, + {0.917969f, 0.402344f, 0.632812f, 0.351562f}, {0.246094f, 0.007812f, 0.058594f, 0.207031f}, + {0.964844f, 0.839844f, 0.191406f, 0.585938f}, {0.367188f, 0.097656f, 0.503906f, 0.820312f}, + {0.878906f, 0.609375f, 0.039062f, 0.117188f}, {0.589844f, 0.871094f, 0.640625f, 0.914062f}, + {0.675781f, 0.058594f, 0.230469f, 0.542969f}, {0.296875f, 0.796875f, 0.773438f, 0.613281f}, + {0.898438f, 0.484375f, 0.019531f, 0.828125f}, {0.140625f, 0.007812f, 0.730469f, 0.937500f}, + {0.355469f, 0.304688f, 0.363281f, 0.578125f}, {0.191406f, 0.753906f, 0.070312f, 0.722656f}, + {0.535156f, 0.906250f, 0.902344f, 0.433594f}, {0.636719f, 0.578125f, 0.031250f, 0.992188f}, + {0.367188f, 0.019531f, 0.992188f, 0.332031f}, {0.738281f, 0.683594f, 0.343750f, 0.554688f}, + {0.027344f, 0.320312f, 0.250000f, 0.128906f}, {0.285156f, 0.441406f, 0.167969f, 0.296875f}, + {0.933594f, 0.605469f, 0.488281f, 0.234375f}, {0.179688f, 0.500000f, 0.980469f, 0.785156f}, + {0.660156f, 0.304688f, 0.734375f, 0.433594f}, {0.011719f, 0.035156f, 0.183594f, 0.207031f}, + {0.855469f, 0.843750f, 0.906250f, 0.703125f}, {0.371094f, 0.617188f, 0.042969f, 0.988281f}, + {0.105469f, 0.269531f, 0.480469f, 0.398438f}, {0.656250f, 0.519531f, 0.640625f, 0.328125f}, + {0.773438f, 0.097656f, 0.941406f, 0.843750f}, {0.312500f, 0.472656f, 0.539062f, 0.964844f}, + {0.894531f, 0.703125f, 0.238281f, 0.046875f}, {0.109375f, 0.132812f, 0.703125f, 0.769531f}, + {0.429688f, 0.273438f, 0.175781f, 0.585938f}, {0.046875f, 0.492188f, 0.574219f, 0.347656f}, + {0.382812f, 0.355469f, 0.285156f, 0.953125f}, {0.472656f, 0.636719f, 0.660156f, 0.437500f}, + {0.769531f, 0.847656f, 0.093750f, 0.542969f}, {0.347656f, 0.246094f, 0.832031f, 0.910156f}, + {0.250000f, 0.726562f, 0.371094f, 0.175781f}, {0.875000f, 0.136719f, 0.273438f, 0.238281f}, + {0.492188f, 0.484375f, 0.500000f, 0.671875f}, {0.210938f, 0.562500f, 0.871094f, 0.089844f}, + {0.820312f, 0.078125f, 0.234375f, 0.890625f}, {0.718750f, 0.957031f, 0.812500f, 0.621094f}, + {0.398438f, 0.121094f, 0.515625f, 0.949219f}, {0.035156f, 0.804688f, 0.300781f, 0.367188f}, + {0.308594f, 0.015625f, 0.386719f, 0.589844f}, {0.640625f, 0.636719f, 0.707031f, 0.296875f}, + {0.054688f, 0.898438f, 0.101562f, 0.023438f}, {0.468750f, 0.042969f, 0.445312f, 0.789062f}, + {0.359375f, 0.285156f, 0.652344f, 0.714844f}, {0.027344f, 0.167969f, 0.925781f, 0.421875f}, + {0.554688f, 0.539062f, 0.710938f, 0.929688f}, {0.890625f, 0.621094f, 0.332031f, 0.226562f}, + {0.164062f, 0.093750f, 0.906250f, 0.109375f}, {0.578125f, 0.265625f, 0.855469f, 0.882812f}, + {0.460938f, 0.910156f, 0.671875f, 0.042969f}, {0.914062f, 0.367188f, 0.105469f, 0.250000f}, + {0.734375f, 0.070312f, 0.621094f, 0.492188f}, {0.542969f, 0.183594f, 0.996094f, 0.308594f}, + {0.980469f, 0.421875f, 0.238281f, 0.703125f}, {0.128906f, 0.621094f, 0.503906f, 0.933594f}, + {0.632812f, 0.925781f, 0.906250f, 0.839844f}, {0.953125f, 0.218750f, 0.597656f, 0.109375f}, + {0.039062f, 0.589844f, 0.960938f, 0.402344f}, {0.667969f, 0.714844f, 0.218750f, 0.550781f}, + {0.472656f, 0.484375f, 0.312500f, 0.718750f}, {0.558594f, 0.152344f, 0.582031f, 0.894531f}, + {0.152344f, 0.355469f, 0.691406f, 0.023438f}, {0.691406f, 0.671875f, 0.445312f, 0.410156f}, + {0.753906f, 0.316406f, 0.867188f, 0.496094f}, {0.527344f, 0.546875f, 0.562500f, 0.656250f}, + {0.125000f, 0.714844f, 0.304688f, 0.042969f}, {0.390625f, 0.218750f, 0.988281f, 0.320312f}, + {0.218750f, 0.894531f, 0.585938f, 0.183594f}, {0.511719f, 0.691406f, 0.187500f, 0.761719f}, + {0.457031f, 0.101562f, 0.457031f, 0.296875f}, {0.050781f, 0.628906f, 0.671875f, 0.371094f}, + {0.816406f, 0.148438f, 0.554688f, 0.054688f}, {0.082031f, 0.371094f, 0.386719f, 0.269531f}, + {0.417969f, 0.472656f, 0.753906f, 0.617188f}, {0.839844f, 0.175781f, 0.109375f, 0.750000f}, + {0.218750f, 0.933594f, 0.656250f, 0.421875f}, {0.527344f, 0.742188f, 0.910156f, 0.910156f}, + {0.875000f, 0.050781f, 0.402344f, 0.589844f}, {0.390625f, 0.988281f, 0.082031f, 0.972656f}, + {0.460938f, 0.652344f, 0.355469f, 0.148438f}, {0.921875f, 0.464844f, 0.546875f, 0.847656f}, + {0.601562f, 0.113281f, 0.132812f, 0.484375f}, {0.710938f, 0.964844f, 0.773438f, 0.089844f}, + {0.273438f, 0.761719f, 0.593750f, 0.550781f}, {0.433594f, 0.664062f, 0.199219f, 0.156250f}, + {0.203125f, 0.222656f, 0.355469f, 0.664062f}, {0.000000f, 0.835938f, 0.812500f, 0.609375f}, + {0.625000f, 0.320312f, 0.738281f, 0.445312f}, {0.804688f, 0.410156f, 0.914062f, 0.304688f}, + {0.523438f, 0.617188f, 0.644531f, 0.695312f}, {0.738281f, 0.070312f, 0.121094f, 0.179688f}, + {0.886719f, 0.210938f, 0.890625f, 0.859375f}, {0.210938f, 0.984375f, 0.531250f, 0.730469f}, + {0.988281f, 0.464844f, 0.000000f, 0.312500f}, {0.628906f, 0.527344f, 0.726562f, 0.078125f}, + {0.433594f, 0.902344f, 0.472656f, 0.765625f}, {0.789062f, 0.058594f, 0.171875f, 0.957031f}, + {0.042969f, 0.656250f, 0.570312f, 0.441406f}, {0.652344f, 0.796875f, 0.656250f, 0.832031f}, + {0.914062f, 0.371094f, 0.339844f, 0.332031f}, {0.164062f, 0.875000f, 0.453125f, 0.515625f}, + {0.968750f, 0.476562f, 0.167969f, 0.750000f}, {0.777344f, 0.683594f, 0.683594f, 0.160156f}, + {0.492188f, 0.851562f, 0.019531f, 0.843750f}, {0.855469f, 0.144531f, 0.808594f, 0.972656f}, + {0.960938f, 0.449219f, 0.332031f, 0.453125f}, {0.265625f, 0.781250f, 0.531250f, 0.898438f}, + {0.781250f, 0.394531f, 0.851562f, 0.183594f}, {0.921875f, 0.855469f, 0.015625f, 0.628906f}, + {0.285156f, 0.066406f, 0.132812f, 0.378906f}, {0.421875f, 0.992188f, 0.507812f, 0.796875f}, + {0.816406f, 0.753906f, 0.269531f, 0.695312f}, {0.972656f, 0.570312f, 0.468750f, 0.449219f}, + {0.113281f, 0.148438f, 0.160156f, 0.554688f}, {0.199219f, 0.726562f, 0.796875f, 0.992188f}, + {0.285156f, 0.464844f, 0.289062f, 0.164062f}, {0.070312f, 0.785156f, 0.453125f, 0.875000f}, + {0.375000f, 0.832031f, 0.843750f, 0.437500f}, {0.500000f, 0.269531f, 0.125000f, 0.023438f}, + {0.445312f, 0.726562f, 0.687500f, 0.507812f}, {0.089844f, 0.457031f, 0.277344f, 0.289062f}, + {0.839844f, 0.046875f, 0.359375f, 0.917969f}, {0.773438f, 0.300781f, 0.761719f, 0.050781f}, + {0.347656f, 0.945312f, 0.882812f, 0.640625f}, {0.101562f, 0.902344f, 0.117188f, 0.460938f}, + {0.816406f, 0.785156f, 0.937500f, 0.265625f}, {0.445312f, 0.453125f, 0.351562f, 0.765625f}, + {0.226562f, 0.171875f, 0.726562f, 0.351562f}, {0.324219f, 0.921875f, 0.082031f, 0.839844f}, + {0.808594f, 0.402344f, 0.421875f, 0.988281f}, {0.027344f, 0.113281f, 0.492188f, 0.398438f}, + {0.855469f, 0.589844f, 0.109375f, 0.480469f}, {0.648438f, 0.339844f, 0.878906f, 0.066406f}, + {0.976562f, 0.945312f, 0.257812f, 0.539062f}, {0.765625f, 0.433594f, 0.953125f, 0.160156f}, + {0.250000f, 0.726562f, 0.140625f, 0.820312f}, {0.570312f, 0.261719f, 0.210938f, 0.894531f}, + {0.964844f, 0.789062f, 0.613281f, 0.097656f}, {0.160156f, 0.117188f, 0.300781f, 0.210938f}, + {0.488281f, 0.839844f, 0.820312f, 0.859375f}, {0.707031f, 0.542969f, 0.019531f, 0.496094f}, + {0.605469f, 0.273438f, 0.714844f, 0.007812f}, {0.125000f, 0.820312f, 0.222656f, 0.718750f}, + {0.750000f, 0.363281f, 0.652344f, 0.339844f}, {0.207031f, 0.195312f, 0.804688f, 0.636719f}, + {0.050781f, 0.718750f, 0.300781f, 0.039062f}, {0.492188f, 0.406250f, 0.406250f, 0.906250f}, + {0.910156f, 0.152344f, 0.992188f, 0.796875f}, {0.832031f, 0.015625f, 0.683594f, 0.214844f}, + {0.570312f, 0.937500f, 0.085938f, 0.738281f}, {0.984375f, 0.570312f, 0.472656f, 0.371094f}, + {0.468750f, 0.050781f, 0.394531f, 0.121094f}, {0.253906f, 0.886719f, 0.066406f, 0.820312f}, + {0.328125f, 0.769531f, 0.332031f, 0.535156f}, {0.937500f, 0.921875f, 0.441406f, 0.011719f}, + {0.640625f, 0.718750f, 0.199219f, 0.488281f}, {0.289062f, 0.031250f, 0.390625f, 0.136719f}, + {0.007812f, 0.773438f, 0.992188f, 0.601562f}, {0.566406f, 0.398438f, 0.230469f, 0.406250f}, + {0.171875f, 0.191406f, 0.785156f, 0.855469f}, {0.933594f, 0.343750f, 0.046875f, 0.285156f}, + {0.121094f, 0.949219f, 0.921875f, 0.003906f}, {0.292969f, 0.218750f, 0.097656f, 0.558594f}, + {0.441406f, 0.027344f, 0.734375f, 0.199219f}, {0.515625f, 0.597656f, 0.976562f, 0.050781f}, + {0.250000f, 0.402344f, 0.066406f, 0.425781f}, {0.363281f, 0.300781f, 0.859375f, 0.250000f}, + {0.203125f, 0.546875f, 0.433594f, 0.066406f}, {0.117188f, 0.363281f, 0.613281f, 0.644531f}, + {0.542969f, 0.726562f, 0.191406f, 0.535156f}, {0.410156f, 0.199219f, 0.964844f, 0.125000f}, + {0.140625f, 0.578125f, 0.261719f, 0.316406f}, {0.667969f, 0.660156f, 0.394531f, 0.496094f}, + {0.488281f, 0.441406f, 0.625000f, 0.003906f}, {0.734375f, 0.304688f, 0.820312f, 0.601562f}, + {0.007812f, 0.203125f, 0.082031f, 0.292969f}, {0.250000f, 0.417969f, 0.593750f, 0.191406f}, + {0.511719f, 0.503906f, 0.953125f, 0.832031f}, {0.703125f, 0.960938f, 0.417969f, 0.656250f}, + {0.605469f, 0.656250f, 0.566406f, 0.386719f}, {0.886719f, 0.312500f, 0.070312f, 0.097656f}, + {0.753906f, 0.511719f, 0.640625f, 0.777344f}, {0.191406f, 0.109375f, 0.203125f, 0.621094f}, + {0.917969f, 0.992188f, 0.738281f, 0.175781f}, {0.300781f, 0.390625f, 0.437500f, 0.664062f}, + {0.515625f, 0.816406f, 0.078125f, 0.742188f}, {0.230469f, 0.085938f, 0.488281f, 0.226562f}, + {0.589844f, 0.203125f, 0.546875f, 0.324219f}, {0.894531f, 0.558594f, 0.406250f, 0.832031f}, + {0.292969f, 0.261719f, 0.250000f, 0.964844f}, {0.058594f, 0.027344f, 0.789062f, 0.179688f}, + {0.968750f, 0.812500f, 0.515625f, 0.554688f}, {0.484375f, 0.496094f, 0.207031f, 0.242188f}, + {0.914062f, 0.253906f, 0.921875f, 0.144531f}, {0.605469f, 0.968750f, 0.816406f, 0.714844f}, + {0.734375f, 0.457031f, 0.699219f, 0.648438f}, {0.097656f, 0.183594f, 0.332031f, 0.882812f}, + {0.410156f, 0.832031f, 0.605469f, 0.957031f}, {0.292969f, 0.542969f, 0.761719f, 0.679688f}, + {0.691406f, 0.039062f, 0.421875f, 0.597656f}, {0.878906f, 0.984375f, 0.859375f, 0.468750f}, + {0.324219f, 0.601562f, 0.507812f, 0.710938f}, {0.664062f, 0.343750f, 0.925781f, 0.363281f}, + {0.785156f, 0.640625f, 0.453125f, 0.070312f}, {0.093750f, 0.214844f, 0.582031f, 0.652344f}, + {0.347656f, 0.417969f, 0.519531f, 0.390625f}, {0.949219f, 0.140625f, 0.843750f, 0.277344f}, + {0.261719f, 0.769531f, 0.937500f, 0.546875f}, {0.566406f, 0.535156f, 0.066406f, 0.757812f}, + {0.328125f, 0.250000f, 0.503906f, 0.253906f}, {0.796875f, 0.589844f, 0.871094f, 0.445312f}, + {0.144531f, 0.898438f, 0.003906f, 0.304688f}, {0.074219f, 0.308594f, 0.261719f, 0.953125f}, + {0.355469f, 0.390625f, 0.839844f, 0.492188f}, {0.691406f, 0.742188f, 0.144531f, 0.062500f}, + {0.863281f, 0.183594f, 0.589844f, 0.917969f}, {0.175781f, 0.527344f, 0.976562f, 0.230469f}, + {0.582031f, 0.238281f, 0.511719f, 0.992188f}, {0.074219f, 0.441406f, 0.855469f, 0.644531f}, + {0.140625f, 0.554688f, 0.750000f, 0.277344f}, {0.488281f, 0.328125f, 0.687500f, 0.941406f}, + {0.824219f, 0.121094f, 0.582031f, 0.210938f}, {0.703125f, 0.687500f, 0.332031f, 0.699219f}, + {0.324219f, 0.593750f, 0.625000f, 0.519531f}, {0.734375f, 0.859375f, 0.429688f, 0.644531f}, + {0.390625f, 0.433594f, 0.839844f, 0.378906f}, {0.609375f, 0.515625f, 0.390625f, 0.738281f}, + {0.761719f, 0.714844f, 0.539062f, 0.976562f}, {0.074219f, 0.269531f, 0.277344f, 0.679688f}, + {0.882812f, 0.167969f, 0.636719f, 0.796875f}, {0.667969f, 0.769531f, 0.226562f, 0.886719f}, + {0.593750f, 0.925781f, 0.941406f, 0.492188f}, {0.734375f, 0.078125f, 0.128906f, 0.386719f}, + {0.332031f, 0.980469f, 0.722656f, 0.765625f}, {0.699219f, 0.269531f, 0.058594f, 0.265625f}, + {0.835938f, 0.105469f, 0.476562f, 0.699219f}, {0.058594f, 0.917969f, 0.753906f, 0.984375f}, + {0.191406f, 0.710938f, 0.214844f, 0.847656f}, {0.609375f, 0.023438f, 0.976562f, 0.144531f}, + {0.332031f, 0.894531f, 0.683594f, 0.953125f}, {0.640625f, 0.339844f, 0.355469f, 0.761719f}, + {0.867188f, 0.839844f, 0.023438f, 0.027344f}, {0.359375f, 0.117188f, 0.222656f, 0.328125f}, + {0.441406f, 0.242188f, 0.718750f, 0.726562f}, {0.136719f, 0.933594f, 0.878906f, 0.585938f}, + {0.656250f, 0.027344f, 0.382812f, 0.218750f}, {0.796875f, 0.566406f, 0.531250f, 0.976562f}, + {0.582031f, 0.160156f, 0.023438f, 0.339844f}, {0.703125f, 0.664062f, 0.921875f, 0.425781f}, + {0.390625f, 0.765625f, 0.851562f, 0.812500f}, {0.132812f, 0.515625f, 0.156250f, 0.945312f}, + {0.996094f, 0.871094f, 0.718750f, 0.140625f}, {0.718750f, 0.417969f, 0.003906f, 0.593750f}, + {0.406250f, 0.632812f, 0.621094f, 0.066406f}, {0.652344f, 0.738281f, 0.148438f, 0.679688f}, + {0.167969f, 0.363281f, 0.285156f, 0.929688f}, {0.082031f, 0.078125f, 0.667969f, 0.000000f}, + {0.429688f, 0.675781f, 0.027344f, 0.453125f}, {0.261719f, 0.617188f, 0.382812f, 0.796875f}, + {0.339844f, 0.785156f, 0.234375f, 0.265625f}, {0.546875f, 0.050781f, 0.523438f, 0.105469f}, + {0.164062f, 0.273438f, 0.007812f, 0.222656f}, {0.910156f, 0.667969f, 0.804688f, 0.390625f}, + {0.492188f, 0.203125f, 0.082031f, 0.011719f}, {0.121094f, 0.863281f, 0.269531f, 0.242188f}, + {0.011719f, 0.414062f, 0.695312f, 0.519531f}, {0.449219f, 0.496094f, 0.058594f, 0.972656f}, + {0.238281f, 0.914062f, 0.191406f, 0.765625f}, {0.855469f, 0.078125f, 0.367188f, 0.179688f}, + {0.046875f, 0.882812f, 0.281250f, 0.828125f}, {0.437500f, 0.687500f, 0.148438f, 0.113281f}, + {0.816406f, 0.015625f, 0.613281f, 0.949219f}, {0.683594f, 0.937500f, 0.437500f, 0.187500f}, + {0.988281f, 0.859375f, 0.238281f, 0.867188f}, {0.398438f, 0.085938f, 0.574219f, 0.597656f}, + {0.636719f, 0.496094f, 0.722656f, 0.683594f}, {0.742188f, 0.808594f, 0.339844f, 0.019531f}, + {0.234375f, 0.625000f, 0.531250f, 0.574219f}, {0.535156f, 0.460938f, 0.890625f, 0.269531f}, + {0.050781f, 0.976562f, 0.289062f, 0.781250f}, {0.730469f, 0.109375f, 0.214844f, 0.460938f}, + {0.371094f, 0.363281f, 0.789062f, 0.390625f}, {0.789062f, 0.656250f, 0.042969f, 0.074219f}, + {0.679688f, 0.164062f, 0.269531f, 0.757812f}, {0.402344f, 0.839844f, 0.105469f, 0.359375f}, + {0.875000f, 0.261719f, 0.875000f, 0.808594f}, {0.234375f, 0.933594f, 0.144531f, 0.046875f}, + {0.062500f, 0.082031f, 0.945312f, 0.125000f}, {0.523438f, 0.285156f, 0.289062f, 0.937500f}, + {0.855469f, 0.753906f, 0.691406f, 0.164062f}, {0.984375f, 0.148438f, 0.207031f, 0.464844f}, + {0.027344f, 0.894531f, 0.132812f, 0.265625f}, {0.562500f, 0.976562f, 0.785156f, 0.593750f}, + {0.144531f, 0.625000f, 0.476562f, 0.136719f}, {0.824219f, 0.046875f, 0.355469f, 0.320312f}, + {0.445312f, 0.226562f, 0.558594f, 0.710938f}, {0.000000f, 0.664062f, 0.289062f, 0.207031f}, + {0.910156f, 0.468750f, 0.835938f, 0.921875f}, {0.222656f, 0.609375f, 0.589844f, 0.039062f}, + {0.582031f, 0.820312f, 0.898438f, 0.812500f}, {0.984375f, 0.347656f, 0.308594f, 0.445312f}, + {0.378906f, 0.238281f, 0.550781f, 0.238281f}, {0.796875f, 0.523438f, 0.437500f, 0.542969f}, + {0.937500f, 0.792969f, 0.179688f, 0.355469f}, {0.097656f, 0.687500f, 0.742188f, 0.429688f}, + {0.761719f, 0.597656f, 0.523438f, 0.511719f}, {0.035156f, 0.050781f, 0.929688f, 0.132812f}, + {0.957031f, 0.406250f, 0.328125f, 0.921875f}, {0.230469f, 0.609375f, 0.148438f, 0.472656f}, + {0.335938f, 0.707031f, 0.777344f, 0.285156f}, {0.019531f, 0.351562f, 0.976562f, 0.824219f}, + {0.261719f, 0.859375f, 0.316406f, 0.058594f}, {0.058594f, 0.230469f, 0.570312f, 0.570312f}, + {0.882812f, 0.324219f, 0.652344f, 0.484375f}, {0.628906f, 0.601562f, 0.210938f, 0.015625f}, + {0.195312f, 0.132812f, 0.988281f, 0.371094f}, {0.015625f, 0.699219f, 0.832031f, 0.527344f}, + {0.535156f, 0.066406f, 0.335938f, 0.433594f}, {0.851562f, 0.976562f, 0.953125f, 0.742188f}, + {0.574219f, 0.578125f, 0.468750f, 0.621094f}, {0.773438f, 0.855469f, 0.843750f, 0.316406f}, + {0.703125f, 0.148438f, 0.750000f, 0.898438f}, {0.187500f, 0.300781f, 0.136719f, 0.582031f}, + {0.960938f, 0.742188f, 0.644531f, 0.359375f}, {0.796875f, 0.378906f, 0.972656f, 0.523438f}, + {0.031250f, 0.917969f, 0.171875f, 0.847656f}, {0.593750f, 0.507812f, 0.468750f, 0.445312f}, + {0.207031f, 0.332031f, 0.359375f, 0.785156f}, {0.753906f, 0.105469f, 0.566406f, 0.914062f}, + {0.386719f, 0.695312f, 0.960938f, 0.128906f}, {0.613281f, 0.000000f, 0.128906f, 0.308594f}, + {0.914062f, 0.296875f, 0.792969f, 0.570312f}, {0.300781f, 0.730469f, 0.734375f, 0.457031f}, + {0.550781f, 0.574219f, 0.972656f, 0.890625f}, {0.644531f, 0.480469f, 0.046875f, 0.687500f}, + {0.160156f, 0.312500f, 0.335938f, 0.500000f}, {0.507812f, 0.625000f, 0.765625f, 0.417969f}, + {0.093750f, 0.433594f, 0.164062f, 0.082031f}, {0.195312f, 0.347656f, 0.953125f, 0.355469f}, + {0.468750f, 0.699219f, 0.109375f, 0.140625f}, {0.941406f, 0.210938f, 0.449219f, 0.832031f}, + {0.296875f, 0.039062f, 0.656250f, 0.410156f}, {0.417969f, 0.277344f, 0.761719f, 0.878906f}, + {0.121094f, 0.679688f, 0.027344f, 0.625000f}, {0.910156f, 0.792969f, 0.699219f, 0.156250f}, + {0.449219f, 0.863281f, 0.625000f, 0.710938f}, {0.968750f, 0.011719f, 0.367188f, 0.871094f}, + {0.199219f, 0.964844f, 0.554688f, 0.546875f}, {0.531250f, 0.605469f, 0.816406f, 0.441406f}, + {0.105469f, 0.496094f, 0.460938f, 0.906250f}, {0.960938f, 0.804688f, 0.062500f, 0.484375f}, + {0.457031f, 0.546875f, 0.515625f, 0.324219f}, {0.660156f, 0.003906f, 0.753906f, 0.578125f}, + {0.199219f, 0.636719f, 0.035156f, 0.804688f}, {0.265625f, 0.320312f, 0.593750f, 0.093750f}, + {0.347656f, 0.101562f, 0.957031f, 0.906250f}, {0.710938f, 0.453125f, 0.875000f, 0.363281f}, + {0.402344f, 0.824219f, 0.027344f, 0.019531f}, {0.292969f, 0.531250f, 0.750000f, 0.554688f}, + {0.976562f, 0.414062f, 0.910156f, 0.949219f}, {0.078125f, 0.863281f, 0.507812f, 0.089844f}, + {0.792969f, 0.312500f, 0.390625f, 0.609375f}, {0.500000f, 0.000000f, 0.664062f, 0.347656f}, + {0.304688f, 0.507812f, 0.160156f, 0.570312f}, {0.089844f, 0.152344f, 0.109375f, 0.097656f}, + {0.457031f, 0.957031f, 0.800781f, 0.664062f}, {0.539062f, 0.636719f, 0.066406f, 0.738281f}, + {0.144531f, 0.085938f, 0.878906f, 0.082031f}, {0.414062f, 0.175781f, 0.277344f, 0.886719f}, + {0.292969f, 0.285156f, 0.835938f, 0.636719f}, {0.570312f, 0.750000f, 0.617188f, 0.257812f}, + {0.812500f, 0.886719f, 0.058594f, 0.851562f}, {0.527344f, 0.199219f, 0.464844f, 0.082031f}, + {0.851562f, 0.773438f, 0.664062f, 0.535156f}, {0.414062f, 0.441406f, 0.257812f, 0.679688f}, + {0.976562f, 0.914062f, 0.109375f, 0.148438f}, {0.539062f, 0.488281f, 0.812500f, 0.886719f}, + {0.816406f, 0.000000f, 0.371094f, 0.257812f}, {0.316406f, 0.960938f, 0.285156f, 0.703125f}, + {0.484375f, 0.382812f, 0.457031f, 0.785156f}, {0.785156f, 0.277344f, 0.675781f, 0.875000f}, + {0.265625f, 0.476562f, 0.070312f, 0.289062f}, {0.355469f, 0.207031f, 0.585938f, 0.109375f}, + {0.636719f, 0.917969f, 0.179688f, 0.851562f}, {0.929688f, 0.519531f, 0.347656f, 0.515625f}, + {0.007812f, 0.425781f, 0.554688f, 0.199219f}, {0.507812f, 0.011719f, 0.445312f, 0.085938f}, + {0.667969f, 0.886719f, 0.859375f, 0.976562f}, {0.382812f, 0.476562f, 0.300781f, 0.738281f}, + {0.843750f, 0.128906f, 0.726562f, 0.613281f}, {0.437500f, 0.808594f, 0.898438f, 0.183594f}, + {0.652344f, 0.582031f, 0.667969f, 0.332031f}, {0.984375f, 0.753906f, 0.835938f, 0.699219f}, + {0.812500f, 0.242188f, 0.320312f, 0.636719f}, {0.511719f, 0.945312f, 0.625000f, 0.816406f}, + {0.183594f, 0.796875f, 0.421875f, 0.027344f}, {0.742188f, 0.179688f, 0.882812f, 0.253906f}, + {0.972656f, 0.375000f, 0.660156f, 0.613281f}, {0.378906f, 0.964844f, 0.480469f, 0.324219f}, + {0.015625f, 0.222656f, 0.863281f, 0.046875f}, {0.871094f, 0.058594f, 0.695312f, 0.800781f}, + {0.289062f, 0.792969f, 0.382812f, 0.644531f}, {0.765625f, 0.171875f, 0.636719f, 0.929688f}, + {0.554688f, 0.988281f, 0.808594f, 0.531250f}, {0.023438f, 0.546875f, 0.218750f, 0.730469f}, + {0.882812f, 0.886719f, 0.929688f, 0.191406f}, {0.605469f, 0.136719f, 0.167969f, 0.332031f}, + {0.812500f, 0.335938f, 0.414062f, 0.519531f}, {0.652344f, 0.585938f, 0.953125f, 0.093750f}, + {0.269531f, 0.488281f, 0.132812f, 0.312500f}, {0.019531f, 0.292969f, 0.472656f, 0.589844f}, + {0.316406f, 0.410156f, 0.914062f, 0.195312f}, {0.613281f, 0.742188f, 0.175781f, 0.023438f}, + {0.761719f, 0.207031f, 0.398438f, 0.660156f}, {0.363281f, 0.363281f, 0.664062f, 0.253906f}, + {0.585938f, 0.449219f, 0.246094f, 0.746094f}, {0.796875f, 0.996094f, 0.902344f, 0.882812f}, + {0.136719f, 0.835938f, 0.367188f, 0.230469f}, {0.492188f, 0.390625f, 0.492188f, 0.707031f}, + {0.812500f, 0.562500f, 0.316406f, 0.515625f}, {0.636719f, 0.687500f, 0.421875f, 0.839844f}, + {0.898438f, 0.343750f, 0.164062f, 0.664062f}, {0.179688f, 0.125000f, 0.695312f, 0.453125f}, + {0.527344f, 0.746094f, 0.097656f, 0.816406f}, {0.625000f, 0.183594f, 0.207031f, 0.156250f}, + {0.371094f, 0.906250f, 0.003906f, 0.421875f}, {0.160156f, 0.707031f, 0.781250f, 0.683594f}, + {0.656250f, 0.773438f, 0.343750f, 0.894531f}, {0.875000f, 0.406250f, 0.945312f, 0.171875f}, + {0.242188f, 0.859375f, 0.699219f, 0.394531f}, {0.703125f, 0.460938f, 0.375000f, 0.281250f}, + {0.902344f, 0.371094f, 0.636719f, 0.937500f}, {0.207031f, 0.558594f, 0.476562f, 0.574219f}, + {0.679688f, 0.980469f, 0.121094f, 0.203125f}, {0.476562f, 0.484375f, 0.402344f, 0.773438f}, + {0.171875f, 0.332031f, 0.808594f, 0.699219f}, {0.718750f, 0.144531f, 0.906250f, 0.417969f}, + {0.113281f, 0.527344f, 0.195312f, 0.351562f}, {0.617188f, 0.066406f, 0.507812f, 0.933594f}, + {0.460938f, 0.277344f, 0.417969f, 0.734375f}, {0.160156f, 0.640625f, 0.613281f, 0.394531f}, + {0.730469f, 0.738281f, 0.039062f, 0.105469f}, {0.078125f, 0.187500f, 0.777344f, 0.617188f}, + {0.425781f, 0.824219f, 0.527344f, 0.171875f}, {0.679688f, 0.898438f, 0.128906f, 0.984375f}, + {0.949219f, 0.769531f, 0.414062f, 0.230469f}, {0.128906f, 0.320312f, 0.886719f, 0.402344f}, + {0.234375f, 0.648438f, 0.046875f, 0.160156f}, {0.394531f, 0.242188f, 0.964844f, 0.691406f}, + {0.312500f, 0.800781f, 0.265625f, 0.769531f}, {0.875000f, 0.695312f, 0.785156f, 0.414062f}, + {0.132812f, 0.562500f, 0.085938f, 0.046875f}, {0.238281f, 0.218750f, 0.574219f, 0.292969f}, + {0.722656f, 0.640625f, 0.394531f, 0.136719f}, {0.304688f, 0.062500f, 0.222656f, 0.941406f}, + {0.074219f, 0.972656f, 0.039062f, 0.078125f}, {0.351562f, 0.445312f, 0.152344f, 0.542969f}, + {0.265625f, 0.148438f, 0.500000f, 0.417969f}, {0.054688f, 0.531250f, 0.246094f, 0.203125f}, + {0.687500f, 0.621094f, 0.007812f, 0.937500f}, {0.113281f, 0.457031f, 0.535156f, 0.378906f}, + {0.472656f, 0.105469f, 0.210938f, 0.144531f}, {0.218750f, 0.664062f, 0.113281f, 0.996094f}, + {0.703125f, 0.843750f, 0.261719f, 0.218750f}, {0.925781f, 0.523438f, 0.550781f, 0.722656f}, + {0.613281f, 0.730469f, 0.019531f, 0.289062f}, {0.367188f, 0.269531f, 0.886719f, 0.472656f}, + {0.843750f, 0.074219f, 0.304688f, 0.238281f}, {0.703125f, 0.648438f, 0.054688f, 0.984375f}, + {0.171875f, 0.425781f, 0.371094f, 0.078125f}, {0.335938f, 0.734375f, 0.566406f, 0.660156f}, + {0.496094f, 0.949219f, 0.500000f, 0.906250f}, {0.214844f, 0.058594f, 0.312500f, 0.750000f}, + {0.554688f, 0.203125f, 0.867188f, 0.964844f}, {0.839844f, 0.707031f, 0.238281f, 0.257812f}, + {0.707031f, 0.113281f, 0.679688f, 0.828125f}, {0.890625f, 0.890625f, 0.296875f, 0.144531f}, + {0.164062f, 0.042969f, 0.968750f, 0.972656f}, {0.273438f, 0.671875f, 0.796875f, 0.609375f}, + {0.019531f, 0.156250f, 0.562500f, 0.078125f}, {0.910156f, 0.246094f, 0.183594f, 0.371094f}, + {0.414062f, 0.707031f, 0.824219f, 0.437500f}, {0.085938f, 0.195312f, 0.082031f, 0.046875f}, + {0.945312f, 0.781250f, 0.683594f, 0.308594f}, {0.218750f, 0.023438f, 0.621094f, 0.175781f}, + {0.464844f, 0.234375f, 0.261719f, 0.964844f}, {0.105469f, 0.957031f, 0.582031f, 0.234375f}, + {0.750000f, 0.488281f, 0.808594f, 0.738281f}, {0.253906f, 0.582031f, 0.457031f, 0.285156f}, + {0.855469f, 0.367188f, 0.984375f, 0.859375f}, {0.425781f, 0.121094f, 0.250000f, 0.492188f}, + {0.945312f, 0.550781f, 0.433594f, 0.222656f}, {0.738281f, 0.214844f, 0.503906f, 0.953125f}, + {0.019531f, 0.046875f, 0.226562f, 0.515625f}, {0.324219f, 0.734375f, 0.574219f, 0.785156f}, + {0.589844f, 0.257812f, 0.011719f, 0.015625f}, {0.843750f, 0.812500f, 0.988281f, 0.468750f}, + {0.992188f, 0.007812f, 0.238281f, 0.312500f}, {0.082031f, 0.425781f, 0.699219f, 0.054688f}, + {0.382812f, 0.843750f, 0.304688f, 0.972656f}, {0.890625f, 0.667969f, 0.558594f, 0.183594f}, + {0.281250f, 0.968750f, 0.000000f, 0.003906f}, {0.687500f, 0.812500f, 0.742188f, 0.632812f}, + {0.910156f, 0.121094f, 0.867188f, 0.207031f}, {0.347656f, 0.574219f, 0.957031f, 0.511719f}, + {0.238281f, 0.421875f, 0.183594f, 0.957031f}, {0.960938f, 0.097656f, 0.707031f, 0.316406f}, + {0.585938f, 0.667969f, 0.921875f, 0.445312f}, {0.835938f, 0.535156f, 0.238281f, 0.660156f}, + {0.039062f, 0.031250f, 0.800781f, 0.074219f}, {0.464844f, 0.125000f, 0.734375f, 0.808594f}, + {0.742188f, 0.390625f, 0.503906f, 0.367188f}, {0.828125f, 0.054688f, 0.113281f, 0.953125f}, + {0.550781f, 0.996094f, 0.621094f, 0.472656f}, {0.625000f, 0.175781f, 0.203125f, 0.636719f}, + {0.472656f, 0.347656f, 0.941406f, 0.871094f}, {0.046875f, 0.945312f, 0.050781f, 0.675781f}, + {0.937500f, 0.414062f, 0.503906f, 0.492188f}, {0.500000f, 0.265625f, 0.632812f, 0.832031f}, + {0.894531f, 0.683594f, 0.992188f, 0.753906f}, {0.148438f, 0.367188f, 0.437500f, 0.277344f}, + {0.550781f, 0.890625f, 0.777344f, 0.050781f}, {0.945312f, 0.316406f, 0.710938f, 0.871094f}, + {0.410156f, 0.046875f, 0.343750f, 0.484375f}, {0.597656f, 0.855469f, 0.949219f, 0.671875f}, + {0.843750f, 0.261719f, 0.398438f, 0.781250f}, {0.781250f, 0.769531f, 0.597656f, 0.515625f}, + {0.320312f, 0.140625f, 0.796875f, 0.578125f}, {0.425781f, 0.406250f, 0.988281f, 0.894531f}, + {0.062500f, 0.593750f, 0.191406f, 0.160156f}, {0.246094f, 0.875000f, 0.515625f, 0.824219f}, + {0.132812f, 0.484375f, 0.468750f, 0.031250f}, {0.437500f, 0.367188f, 0.605469f, 0.375000f}, + {0.976562f, 0.835938f, 0.859375f, 0.785156f}, {0.046875f, 0.242188f, 0.726562f, 0.433594f}, + {0.765625f, 0.519531f, 0.089844f, 0.226562f}, {0.921875f, 0.394531f, 0.824219f, 0.003906f}, + {0.105469f, 0.921875f, 0.585938f, 0.382812f}, {0.390625f, 0.824219f, 0.007812f, 0.476562f}, + {0.484375f, 0.558594f, 0.738281f, 0.683594f}, {0.070312f, 0.441406f, 0.082031f, 0.347656f}, + {0.433594f, 0.332031f, 0.605469f, 0.417969f}, {0.949219f, 0.765625f, 0.339844f, 0.789062f}, + {0.738281f, 0.906250f, 0.015625f, 0.183594f}, {0.312500f, 0.601562f, 0.441406f, 0.527344f}, + {0.695312f, 0.089844f, 0.722656f, 0.992188f}, {0.605469f, 0.867188f, 0.925781f, 0.644531f}, + {0.539062f, 0.500000f, 0.218750f, 0.769531f}, {0.011719f, 0.929688f, 0.847656f, 0.414062f}, + {0.777344f, 0.296875f, 0.972656f, 0.613281f}, {0.332031f, 0.644531f, 0.398438f, 0.058594f}, + {0.937500f, 0.835938f, 0.328125f, 0.378906f}, {0.691406f, 0.042969f, 0.867188f, 0.542969f}, + {0.039062f, 0.257812f, 0.625000f, 0.011719f}, {0.546875f, 0.964844f, 0.562500f, 0.753906f}, + {0.117188f, 0.632812f, 0.738281f, 0.320312f}, {0.605469f, 0.296875f, 0.054688f, 0.050781f}, + {0.824219f, 0.902344f, 0.820312f, 0.621094f}, {0.507812f, 0.589844f, 0.906250f, 0.863281f}, + {0.058594f, 0.136719f, 0.324219f, 0.152344f}, {0.445312f, 0.929688f, 0.753906f, 0.671875f}, + {0.253906f, 0.703125f, 0.167969f, 0.828125f}, {0.644531f, 0.218750f, 0.593750f, 0.375000f}, + {0.781250f, 0.574219f, 0.085938f, 0.609375f}, {0.000000f, 0.042969f, 0.964844f, 0.550781f}, + {0.500000f, 0.296875f, 0.359375f, 0.871094f}, {0.207031f, 0.394531f, 0.683594f, 0.457031f}, + {0.062500f, 0.214844f, 0.136719f, 0.277344f}, {0.777344f, 0.933594f, 0.480469f, 0.847656f}, + {0.648438f, 0.863281f, 0.332031f, 0.765625f}, {0.121094f, 0.351562f, 0.089844f, 0.042969f}, + {0.367188f, 0.250000f, 0.390625f, 0.554688f}, {0.183594f, 0.433594f, 0.566406f, 0.730469f}, + {0.300781f, 0.593750f, 0.300781f, 0.500000f}, {0.894531f, 0.726562f, 0.636719f, 0.589844f}, + {0.105469f, 0.839844f, 0.375000f, 0.296875f}, {0.199219f, 0.468750f, 0.710938f, 0.125000f}, + {0.062500f, 0.289062f, 0.902344f, 0.027344f}, {0.992188f, 0.609375f, 0.410156f, 0.250000f}, + {0.281250f, 0.101562f, 0.687500f, 0.343750f}, {0.789062f, 0.718750f, 0.343750f, 0.558594f}, + {0.578125f, 0.832031f, 0.878906f, 0.214844f}, {0.187500f, 0.539062f, 0.746094f, 0.378906f}, + {0.691406f, 0.187500f, 0.277344f, 0.457031f}, {0.621094f, 0.031250f, 0.105469f, 0.984375f}, + {0.859375f, 0.812500f, 0.917969f, 0.597656f}, {0.757812f, 0.656250f, 0.558594f, 0.343750f}, + {0.332031f, 0.402344f, 0.179688f, 0.726562f}, {0.027344f, 0.996094f, 0.812500f, 0.085938f}, + {0.261719f, 0.554688f, 0.074219f, 0.851562f}, {0.144531f, 0.351562f, 0.742188f, 0.003906f}, + {0.519531f, 0.925781f, 0.449219f, 0.406250f}, {0.585938f, 0.027344f, 0.324219f, 0.347656f}, + {0.824219f, 0.320312f, 0.097656f, 0.109375f}, {0.953125f, 0.953125f, 0.707031f, 0.558594f}, + {0.671875f, 0.121094f, 0.773438f, 0.695312f}, {0.523438f, 0.773438f, 0.128906f, 0.609375f}, + {0.273438f, 0.003906f, 0.964844f, 0.496094f}, {0.621094f, 0.617188f, 0.265625f, 0.132812f}, + {0.367188f, 0.167969f, 0.199219f, 0.847656f}, {0.722656f, 0.761719f, 0.652344f, 0.539062f}, + {0.156250f, 0.652344f, 0.437500f, 0.621094f}, {0.996094f, 0.253906f, 0.359375f, 0.777344f}, + {0.648438f, 0.148438f, 0.937500f, 0.109375f}, {0.242188f, 0.632812f, 0.496094f, 0.902344f}, + {0.828125f, 0.957031f, 0.769531f, 0.562500f}, {0.558594f, 0.074219f, 0.136719f, 0.289062f}, + {0.503906f, 0.531250f, 0.878906f, 0.703125f}, {0.175781f, 0.476562f, 0.636719f, 0.843750f}, + {0.878906f, 0.277344f, 0.292969f, 0.132812f}, {0.367188f, 0.417969f, 0.125000f, 0.574219f}, + {0.281250f, 0.062500f, 0.550781f, 0.910156f}, {0.847656f, 0.589844f, 0.054688f, 0.273438f}, + {0.664062f, 0.730469f, 0.511719f, 0.121094f}, {0.394531f, 0.402344f, 0.140625f, 0.503906f}, + {0.578125f, 0.089844f, 0.039062f, 0.914062f}, {0.480469f, 0.777344f, 0.714844f, 0.652344f}, + {0.195312f, 0.445312f, 0.179688f, 0.976562f}, {0.785156f, 0.675781f, 0.113281f, 0.132812f}, + {0.351562f, 0.816406f, 0.886719f, 0.835938f}, {0.265625f, 0.488281f, 0.296875f, 0.453125f}, + {0.175781f, 0.093750f, 0.144531f, 0.722656f}, {0.386719f, 0.335938f, 0.656250f, 0.339844f}, + {0.753906f, 0.656250f, 0.531250f, 0.234375f}, {0.132812f, 0.398438f, 0.421875f, 0.421875f}, + {0.351562f, 0.515625f, 0.929688f, 0.925781f}, {0.917969f, 0.105469f, 0.500000f, 0.492188f}, + {0.601562f, 0.914062f, 0.773438f, 0.136719f}, {0.324219f, 0.613281f, 0.441406f, 0.750000f}, + {0.949219f, 0.730469f, 0.222656f, 0.324219f}, {0.578125f, 0.480469f, 0.824219f, 0.808594f}, + {0.402344f, 0.660156f, 0.289062f, 0.062500f}, {0.863281f, 0.761719f, 0.585938f, 0.578125f}, + {0.488281f, 0.515625f, 0.898438f, 0.132812f}, {0.550781f, 0.050781f, 0.644531f, 0.355469f}, + {0.921875f, 0.968750f, 0.832031f, 0.882812f}, {0.710938f, 0.796875f, 0.011719f, 0.261719f}, + {0.511719f, 0.160156f, 0.980469f, 0.019531f}, {0.605469f, 0.945312f, 0.199219f, 0.921875f}, + {0.343750f, 0.214844f, 0.789062f, 0.218750f}, {0.675781f, 0.550781f, 0.019531f, 0.570312f}, + {0.437500f, 0.746094f, 0.468750f, 0.734375f}, {0.707031f, 0.875000f, 0.542969f, 0.804688f}, + {0.144531f, 0.503906f, 0.285156f, 0.910156f}, {0.406250f, 0.019531f, 0.121094f, 0.101562f}, + {0.742188f, 0.312500f, 0.816406f, 0.714844f}, {0.097656f, 0.933594f, 0.183594f, 0.007812f}, + {0.371094f, 0.761719f, 0.589844f, 0.648438f}, {0.453125f, 0.492188f, 0.378906f, 0.167969f}, + {0.222656f, 0.585938f, 0.847656f, 0.796875f}, {0.121094f, 0.214844f, 0.058594f, 0.128906f}, + {0.484375f, 0.730469f, 0.632812f, 0.546875f}, {0.914062f, 0.078125f, 0.871094f, 0.296875f}, + {0.640625f, 0.191406f, 0.304688f, 0.441406f}, {0.886719f, 0.714844f, 0.148438f, 0.242188f}, + {0.082031f, 0.464844f, 0.933594f, 0.750000f}, {0.742188f, 0.632812f, 0.640625f, 0.667969f}, + {0.183594f, 0.230469f, 0.386719f, 0.953125f}, {0.484375f, 0.687500f, 0.917969f, 0.445312f}, + {0.007812f, 0.187500f, 0.226562f, 0.308594f}, {0.804688f, 0.570312f, 0.417969f, 0.914062f}, + {0.195312f, 0.304688f, 0.671875f, 0.253906f}, {0.878906f, 0.902344f, 0.351562f, 0.960938f}, + {0.078125f, 0.082031f, 0.042969f, 0.710938f}, {0.460938f, 0.449219f, 0.988281f, 0.292969f}, + {0.300781f, 0.320312f, 0.781250f, 0.058594f}, {0.593750f, 0.023438f, 0.171875f, 0.949219f}, + {0.796875f, 0.500000f, 0.539062f, 0.207031f}, {0.339844f, 0.839844f, 0.218750f, 0.503906f}, + {0.132812f, 0.289062f, 0.417969f, 0.070312f}, {0.675781f, 0.218750f, 0.269531f, 0.871094f}, + {0.042969f, 0.378906f, 0.996094f, 0.035156f}, {0.230469f, 0.816406f, 0.515625f, 0.472656f}, + {0.453125f, 0.964844f, 0.375000f, 0.332031f}, {0.746094f, 0.664062f, 0.792969f, 0.214844f}, + {0.058594f, 0.351562f, 0.457031f, 0.000000f}, {0.968750f, 0.882812f, 0.343750f, 0.718750f}, + {0.160156f, 0.140625f, 0.765625f, 0.878906f}, {0.238281f, 0.207031f, 0.675781f, 0.789062f}, + {0.070312f, 0.535156f, 0.945312f, 0.335938f}, {0.894531f, 0.917969f, 0.277344f, 0.179688f}, + {0.296875f, 0.332031f, 0.535156f, 0.597656f}, {0.988281f, 0.167969f, 0.359375f, 0.398438f}, + {0.718750f, 0.015625f, 0.671875f, 0.257812f}, {0.472656f, 0.414062f, 0.960938f, 0.554688f}, + {0.890625f, 0.996094f, 0.460938f, 0.109375f}, {0.964844f, 0.789062f, 0.199219f, 0.996094f}, + {0.667969f, 0.875000f, 0.089844f, 0.585938f}, {0.804688f, 0.183594f, 0.859375f, 0.703125f}, + {0.546875f, 0.312500f, 0.261719f, 0.089844f}, {0.050781f, 0.769531f, 0.046875f, 0.273438f}, + {0.187500f, 0.253906f, 0.843750f, 0.894531f}, {0.441406f, 0.367188f, 0.644531f, 0.230469f}, + {0.742188f, 0.171875f, 0.105469f, 0.097656f}, {0.824219f, 0.890625f, 0.535156f, 0.984375f}, + {0.144531f, 0.015625f, 0.394531f, 0.656250f}, {0.296875f, 0.316406f, 0.058594f, 0.402344f}, + {0.019531f, 0.144531f, 0.210938f, 0.691406f}, {0.753906f, 0.621094f, 0.730469f, 0.929688f}, + {0.250000f, 0.703125f, 0.492188f, 0.191406f}, {0.054688f, 0.292969f, 0.152344f, 0.414062f}, + {0.410156f, 0.492188f, 0.445312f, 0.777344f}, {0.796875f, 0.339844f, 0.871094f, 0.855469f}, + {0.902344f, 0.085938f, 0.250000f, 0.632812f}, {0.531250f, 0.906250f, 0.324219f, 0.394531f}, + {0.250000f, 0.132812f, 0.839844f, 0.976562f}, {0.917969f, 0.375000f, 0.160156f, 0.523438f}, + {0.859375f, 0.792969f, 0.601562f, 0.160156f}, {0.335938f, 0.453125f, 0.714844f, 0.425781f}, + {0.523438f, 0.152344f, 0.464844f, 0.949219f}, {0.957031f, 0.625000f, 0.000000f, 0.863281f}, + {0.800781f, 0.089844f, 0.531250f, 0.257812f}, {0.000000f, 0.863281f, 0.316406f, 0.511719f}, + {0.308594f, 0.285156f, 0.679688f, 0.906250f}, {0.824219f, 0.132812f, 0.472656f, 0.230469f}, + {0.535156f, 0.917969f, 0.265625f, 0.656250f}, {0.683594f, 0.503906f, 0.429688f, 0.960938f}, + {0.363281f, 0.609375f, 0.515625f, 0.171875f}, {0.445312f, 0.289062f, 0.683594f, 0.917969f}, + {0.964844f, 0.808594f, 0.238281f, 0.617188f}, {0.277344f, 0.085938f, 0.042969f, 0.062500f}, + {0.394531f, 0.511719f, 0.839844f, 0.203125f}, {0.636719f, 0.753906f, 0.585938f, 0.843750f}, + {0.343750f, 0.417969f, 0.289062f, 0.761719f}, {0.746094f, 0.933594f, 0.011719f, 0.171875f}, + {0.566406f, 0.472656f, 0.816406f, 0.066406f}, {0.398438f, 0.671875f, 0.550781f, 0.566406f}, + {0.675781f, 0.855469f, 0.750000f, 0.351562f}, {0.832031f, 0.546875f, 0.488281f, 0.179688f}, + {0.222656f, 0.992188f, 0.285156f, 0.449219f}, {0.531250f, 0.792969f, 0.117188f, 0.839844f}, + {0.003906f, 0.382812f, 0.875000f, 0.320312f}, {0.718750f, 0.722656f, 0.625000f, 0.718750f}, + {0.925781f, 0.574219f, 0.843750f, 0.636719f}, {0.382812f, 0.878906f, 0.070312f, 0.238281f}, + {0.621094f, 0.015625f, 0.707031f, 0.398438f}, {0.988281f, 0.738281f, 0.195312f, 0.925781f}, + {0.796875f, 0.125000f, 0.039062f, 0.667969f}, {0.136719f, 0.179688f, 0.953125f, 0.796875f}, + {0.632812f, 0.542969f, 0.648438f, 0.382812f}, {0.496094f, 0.804688f, 0.253906f, 0.550781f}, + {0.433594f, 0.449219f, 0.894531f, 0.457031f}, {0.730469f, 0.988281f, 0.203125f, 0.675781f}, + {0.800781f, 0.273438f, 0.484375f, 0.222656f}, {0.136719f, 0.710938f, 0.414062f, 0.074219f}, + {0.617188f, 0.597656f, 0.789062f, 0.472656f}, {0.417969f, 0.851562f, 0.843750f, 0.800781f}, + {0.027344f, 0.242188f, 0.031250f, 0.695312f}, {0.566406f, 0.699219f, 0.398438f, 0.898438f}, + {0.089844f, 0.195312f, 0.593750f, 0.187500f}, {0.617188f, 0.531250f, 0.792969f, 0.382812f}, + {0.199219f, 0.445312f, 0.351562f, 0.769531f}, {0.289062f, 0.074219f, 0.675781f, 0.035156f}, + {0.492188f, 0.632812f, 0.730469f, 0.535156f}, {0.699219f, 0.976562f, 0.382812f, 0.800781f}, + {0.875000f, 0.464844f, 0.308594f, 0.640625f}, {0.121094f, 0.800781f, 0.171875f, 0.437500f}, + {0.257812f, 0.078125f, 0.925781f, 0.714844f}, {0.523438f, 0.550781f, 0.718750f, 0.507812f}, + {0.625000f, 0.992188f, 0.996094f, 0.171875f}, {0.968750f, 0.238281f, 0.781250f, 0.246094f}, + {0.191406f, 0.453125f, 0.433594f, 0.468750f}, {0.441406f, 0.839844f, 0.269531f, 0.812500f}, + {0.855469f, 0.203125f, 0.941406f, 0.621094f}, {0.652344f, 0.890625f, 0.347656f, 0.113281f}, + {0.972656f, 0.007812f, 0.687500f, 0.480469f}, {0.156250f, 0.679688f, 0.585938f, 0.683594f}, + {0.015625f, 0.617188f, 0.519531f, 0.078125f}, {0.761719f, 0.437500f, 0.945312f, 0.453125f}, + {0.371094f, 0.261719f, 0.078125f, 0.320312f}, {0.585938f, 0.652344f, 0.757812f, 0.054688f}, + {0.031250f, 0.207031f, 0.972656f, 0.609375f}, {0.644531f, 0.585938f, 0.375000f, 0.292969f}, + {0.210938f, 0.894531f, 0.242188f, 0.769531f}, {0.269531f, 0.246094f, 0.902344f, 0.574219f}, + {0.882812f, 0.390625f, 0.957031f, 0.355469f}, {0.570312f, 0.457031f, 0.769531f, 0.062500f}, + {0.726562f, 0.953125f, 0.214844f, 0.406250f}, {0.988281f, 0.347656f, 0.136719f, 0.742188f}, + {0.066406f, 0.785156f, 0.972656f, 0.035156f}, {0.156250f, 0.425781f, 0.726562f, 0.375000f}, + {0.207031f, 0.015625f, 0.015625f, 0.589844f}, {0.710938f, 0.898438f, 0.894531f, 0.480469f}, + {0.031250f, 0.160156f, 0.562500f, 0.792969f}, {0.546875f, 0.980469f, 0.480469f, 0.273438f}, + {0.863281f, 0.859375f, 0.738281f, 0.535156f}, {0.101562f, 0.355469f, 0.171875f, 0.371094f}, + {0.910156f, 0.054688f, 0.523438f, 0.011719f}, {0.296875f, 0.808594f, 0.894531f, 0.640625f}, + {0.937500f, 0.257812f, 0.457031f, 0.414062f}, {0.125000f, 0.113281f, 0.152344f, 0.804688f}, + {0.507812f, 0.363281f, 0.617188f, 0.882812f}, {0.957031f, 0.195312f, 0.394531f, 0.656250f}, + {0.054688f, 0.695312f, 0.906250f, 0.750000f}, {0.902344f, 0.070312f, 0.703125f, 0.582031f}, + {0.421875f, 0.929688f, 0.031250f, 0.140625f}, {0.187500f, 0.167969f, 0.671875f, 0.433594f}, + {0.476562f, 0.101562f, 0.363281f, 0.980469f}, {0.281250f, 0.683594f, 0.570312f, 0.765625f}, + {0.847656f, 0.437500f, 0.472656f, 0.167969f}, {0.078125f, 0.628906f, 0.832031f, 0.605469f}, + {0.570312f, 0.328125f, 0.593750f, 0.101562f}, {0.261719f, 0.765625f, 0.738281f, 0.503906f}, + {0.906250f, 0.242188f, 0.164062f, 0.960938f}, {0.324219f, 0.007812f, 0.824219f, 0.164062f}, + {0.593750f, 0.683594f, 0.570312f, 0.089844f}, {0.921875f, 0.617188f, 0.105469f, 0.296875f}, + {0.527344f, 0.050781f, 0.632812f, 0.851562f}, {0.359375f, 0.375000f, 0.910156f, 0.726562f}, + {0.835938f, 0.128906f, 0.070312f, 0.937500f}, {0.664062f, 0.515625f, 0.226562f, 0.027344f}, + {0.226562f, 0.890625f, 0.500000f, 0.300781f}, {0.851562f, 0.574219f, 0.757812f, 0.648438f}, + {0.316406f, 0.753906f, 0.257812f, 0.058594f}, {0.429688f, 0.277344f, 0.937500f, 0.507812f}, + {0.007812f, 0.031250f, 0.019531f, 0.878906f}, {0.933594f, 0.714844f, 0.550781f, 0.308594f}, + {0.835938f, 0.847656f, 0.136719f, 0.164062f}, {0.234375f, 0.546875f, 0.617188f, 0.968750f}, + {0.394531f, 0.132812f, 0.902344f, 0.355469f}, {0.980469f, 0.679688f, 0.566406f, 0.019531f}, + {0.671875f, 0.839844f, 0.468750f, 0.585938f}, {0.046875f, 0.417969f, 0.250000f, 0.378906f}, + {0.375000f, 0.597656f, 0.023438f, 0.898438f}, {0.695312f, 0.789062f, 0.625000f, 0.753906f}, + {0.898438f, 0.375000f, 0.875000f, 0.007812f}, {0.328125f, 0.542969f, 0.113281f, 0.531250f}, + {0.578125f, 0.109375f, 0.542969f, 0.300781f}, {0.085938f, 0.406250f, 0.765625f, 0.988281f}, + {0.285156f, 0.566406f, 0.062500f, 0.339844f}, {0.472656f, 0.777344f, 0.128906f, 0.164062f}, + {0.636719f, 0.363281f, 0.628906f, 0.750000f}, {0.832031f, 0.035156f, 0.394531f, 0.835938f}, + {0.109375f, 0.972656f, 0.667969f, 0.195312f}, {0.183594f, 0.710938f, 0.222656f, 0.890625f}, + {0.808594f, 0.066406f, 0.046875f, 0.707031f}, {0.460938f, 0.953125f, 0.855469f, 0.476562f}, + {0.082031f, 0.335938f, 0.652344f, 0.203125f}, {0.667969f, 0.738281f, 0.093750f, 0.121094f}, + {0.425781f, 0.664062f, 0.417969f, 0.683594f}, {0.164062f, 0.007812f, 0.613281f, 0.964844f}, + {0.632812f, 0.703125f, 0.042969f, 0.617188f}, {0.250000f, 0.554688f, 0.804688f, 0.464844f}, + {0.394531f, 0.242188f, 0.371094f, 0.878906f}, {0.937500f, 0.847656f, 0.601562f, 0.816406f}, + {0.804688f, 0.679688f, 0.195312f, 0.113281f}, {0.601562f, 0.378906f, 0.335938f, 0.320312f}, + {0.339844f, 0.562500f, 0.812500f, 0.867188f}, {0.785156f, 0.437500f, 0.125000f, 0.140625f}, + {0.230469f, 0.273438f, 0.355469f, 0.980469f}, {0.687500f, 0.656250f, 0.957031f, 0.468750f}, + {0.156250f, 0.148438f, 0.082031f, 0.726562f}, {0.464844f, 0.535156f, 0.703125f, 0.898438f}, + {0.039062f, 0.722656f, 0.324219f, 0.285156f}, {0.250000f, 0.945312f, 0.945312f, 0.117188f}, + {0.777344f, 0.589844f, 0.093750f, 0.484375f}, {0.328125f, 0.285156f, 0.222656f, 0.023438f}, + {0.609375f, 0.421875f, 0.828125f, 0.390625f}, {0.746094f, 0.617188f, 0.335938f, 0.929688f}, + {0.261719f, 0.238281f, 0.449219f, 0.265625f}, {0.863281f, 0.472656f, 0.953125f, 0.031250f}, + {0.105469f, 0.316406f, 0.292969f, 0.355469f}, {0.765625f, 0.976562f, 0.152344f, 0.531250f}, + {0.523438f, 0.195312f, 0.933594f, 0.828125f}, {0.343750f, 0.554688f, 0.242188f, 0.304688f}, + {0.414062f, 0.890625f, 0.414062f, 0.742188f}, {0.695312f, 0.496094f, 0.085938f, 0.250000f}, + {0.824219f, 0.933594f, 0.316406f, 0.832031f}, {0.109375f, 0.386719f, 0.433594f, 0.347656f}, + {0.199219f, 0.304688f, 0.000000f, 0.632812f}, {0.023438f, 0.843750f, 0.378906f, 0.988281f}, + {0.679688f, 0.480469f, 0.746094f, 0.429688f}, {0.265625f, 0.769531f, 0.312500f, 0.574219f}, + {0.058594f, 0.941406f, 0.593750f, 0.359375f}, {0.507812f, 0.074219f, 0.992188f, 0.527344f}, + {0.160156f, 0.308594f, 0.167969f, 0.214844f}, {0.945312f, 0.382812f, 0.644531f, 0.964844f}, + {0.789062f, 0.105469f, 0.117188f, 0.441406f}, {0.523438f, 0.613281f, 0.875000f, 0.812500f}, + {0.722656f, 0.953125f, 0.492188f, 0.226562f}, {0.371094f, 0.347656f, 0.226562f, 0.617188f}, + {0.101562f, 0.214844f, 0.984375f, 0.464844f}, {0.628906f, 0.406250f, 0.433594f, 0.742188f}, + {0.777344f, 0.011719f, 0.035156f, 0.199219f}, {0.480469f, 0.277344f, 0.753906f, 0.855469f}, + {0.339844f, 0.332031f, 0.347656f, 0.281250f}, {0.093750f, 0.207031f, 0.671875f, 0.792969f}, + {0.808594f, 0.699219f, 0.156250f, 0.121094f}, {0.226562f, 0.097656f, 0.507812f, 0.335938f}, + {0.476562f, 0.941406f, 0.367188f, 0.945312f}, {0.109375f, 0.660156f, 0.187500f, 0.210938f}, + {0.800781f, 0.750000f, 0.609375f, 0.066406f}, {0.382812f, 0.984375f, 0.824219f, 0.714844f}, + {0.738281f, 0.242188f, 0.296875f, 0.554688f}, {0.222656f, 0.832031f, 0.917969f, 0.906250f}, + {0.320312f, 0.929688f, 0.464844f, 0.503906f}, {0.980469f, 0.519531f, 0.175781f, 0.277344f}, + {0.500000f, 0.312500f, 0.808594f, 0.664062f}, {0.285156f, 0.816406f, 0.562500f, 0.789062f}, + {0.929688f, 0.542969f, 0.437500f, 0.382812f}, {0.542969f, 0.414062f, 0.507812f, 0.023438f}, + {0.777344f, 0.847656f, 0.308594f, 0.843750f}, {0.976562f, 0.121094f, 0.738281f, 0.527344f}, + {0.042969f, 0.511719f, 0.164062f, 0.316406f}, {0.507812f, 0.812500f, 0.492188f, 0.824219f}, + {0.339844f, 0.183594f, 0.875000f, 0.089844f}, {0.773438f, 0.074219f, 0.546875f, 0.281250f}, + {0.460938f, 0.640625f, 0.929688f, 0.195312f}, {0.558594f, 0.121094f, 0.105469f, 0.695312f}, + {0.285156f, 0.316406f, 0.781250f, 0.523438f}, {0.875000f, 0.769531f, 0.414062f, 0.019531f}, + {0.121094f, 0.222656f, 0.984375f, 0.710938f}, {0.488281f, 0.710938f, 0.269531f, 0.398438f}, + {0.992188f, 0.031250f, 0.625000f, 0.656250f}, {0.421875f, 0.597656f, 0.437500f, 0.101562f}, + {0.593750f, 0.890625f, 0.777344f, 0.226562f}, {0.839844f, 0.214844f, 0.601562f, 0.589844f}, + {0.718750f, 0.402344f, 0.253906f, 0.523438f}, {0.644531f, 0.019531f, 0.855469f, 0.687500f}, + {0.433594f, 0.820312f, 0.667969f, 0.992188f}, {0.167969f, 0.746094f, 0.050781f, 0.238281f}, + {0.109375f, 0.128906f, 0.582031f, 0.105469f}, {0.363281f, 0.847656f, 0.527344f, 0.527344f}, + {0.687500f, 0.531250f, 0.191406f, 0.804688f}, {0.562500f, 0.777344f, 0.101562f, 0.683594f}, + {0.636719f, 0.597656f, 0.796875f, 0.890625f}, {0.953125f, 0.402344f, 0.726562f, 0.113281f}, + {0.164062f, 0.832031f, 0.011719f, 0.453125f}, {0.734375f, 0.265625f, 0.343750f, 0.019531f}, + {0.210938f, 0.046875f, 0.675781f, 0.941406f}, {0.003906f, 0.089844f, 0.910156f, 0.421875f}, + {0.535156f, 0.703125f, 0.523438f, 0.058594f}, {0.382812f, 0.578125f, 0.980469f, 0.582031f}, + {0.984375f, 0.113281f, 0.699219f, 0.761719f}, {0.304688f, 0.906250f, 0.851562f, 0.023438f}, + {0.859375f, 0.167969f, 0.250000f, 0.261719f}, {0.453125f, 0.230469f, 0.144531f, 0.113281f}, + {0.960938f, 0.429688f, 0.453125f, 0.828125f}, {0.757812f, 0.628906f, 0.695312f, 0.156250f}, + {0.375000f, 0.792969f, 0.343750f, 0.757812f}, {0.691406f, 0.476562f, 0.558594f, 0.593750f}, + {0.250000f, 0.906250f, 0.300781f, 0.332031f}, {0.140625f, 0.152344f, 0.707031f, 0.136719f}, + {0.871094f, 0.824219f, 0.394531f, 0.667969f}, {0.582031f, 0.496094f, 0.828125f, 0.941406f}, + {0.453125f, 0.589844f, 0.769531f, 0.394531f}, {0.167969f, 0.910156f, 0.285156f, 0.058594f}, + {0.027344f, 0.750000f, 0.195312f, 0.675781f}, {0.570312f, 0.949219f, 0.867188f, 0.515625f}, + {0.843750f, 0.519531f, 0.078125f, 0.933594f}, {0.937500f, 0.878906f, 0.835938f, 0.070312f}, + {0.539062f, 0.039062f, 0.292969f, 0.625000f}, {0.761719f, 0.492188f, 0.796875f, 0.558594f}, + {0.597656f, 0.285156f, 0.703125f, 0.828125f}, {0.160156f, 0.171875f, 0.957031f, 0.656250f}, + {0.671875f, 0.058594f, 0.035156f, 0.433594f}, {0.503906f, 0.324219f, 0.417969f, 0.863281f}, + {0.925781f, 0.453125f, 0.230469f, 0.250000f}, {0.566406f, 0.136719f, 0.742188f, 0.031250f}, + {0.066406f, 0.195312f, 0.097656f, 0.968750f}, {0.417969f, 0.753906f, 0.988281f, 0.097656f}, + {0.675781f, 0.113281f, 0.273438f, 0.546875f}, {0.726562f, 0.468750f, 0.339844f, 0.136719f}, + {0.394531f, 0.171875f, 0.914062f, 0.253906f}, {0.144531f, 0.277344f, 0.128906f, 0.996094f}, + {0.316406f, 0.039062f, 0.578125f, 0.644531f}, {0.714844f, 0.574219f, 0.820312f, 0.910156f}, + {0.378906f, 0.222656f, 0.269531f, 0.437500f}, {0.906250f, 0.984375f, 0.707031f, 0.175781f}, + {0.113281f, 0.371094f, 0.339844f, 0.765625f}, {0.851562f, 0.882812f, 0.242188f, 0.570312f}, + {0.015625f, 0.472656f, 0.453125f, 0.343750f}, {0.664062f, 0.972656f, 0.292969f, 0.984375f}, + {0.097656f, 0.523438f, 0.660156f, 0.421875f}, {0.429688f, 0.058594f, 0.527344f, 0.234375f}, + {0.187500f, 0.933594f, 0.070312f, 0.925781f}, {0.628906f, 0.132812f, 0.679688f, 0.558594f}, + {0.753906f, 0.796875f, 0.203125f, 0.773438f}, {0.070312f, 0.484375f, 0.847656f, 0.328125f}, + {0.355469f, 0.964844f, 0.035156f, 0.855469f}, {0.527344f, 0.335938f, 0.390625f, 0.933594f}, + {0.210938f, 0.625000f, 0.191406f, 0.367188f}, {0.976562f, 0.460938f, 0.507812f, 0.191406f}, + {0.582031f, 0.171875f, 0.425781f, 0.765625f}, {0.882812f, 0.507812f, 0.761719f, 0.332031f}, + {0.812500f, 0.914062f, 0.265625f, 0.636719f}, {0.496094f, 0.050781f, 0.976562f, 0.875000f}, + {0.980469f, 0.355469f, 0.738281f, 0.187500f}, {0.031250f, 0.898438f, 0.605469f, 0.476562f}, + {0.320312f, 0.027344f, 0.410156f, 0.597656f}, {0.441406f, 0.734375f, 0.507812f, 0.218750f}, + {0.066406f, 0.140625f, 0.894531f, 0.714844f}, {0.894531f, 0.468750f, 0.550781f, 0.562500f}, + {0.652344f, 0.789062f, 0.785156f, 0.648438f}, {0.863281f, 0.972656f, 0.132812f, 0.191406f}, + {0.457031f, 0.425781f, 0.277344f, 0.894531f}, {0.738281f, 0.203125f, 0.605469f, 0.683594f}, + {0.640625f, 0.808594f, 0.480469f, 0.472656f}, {0.777344f, 0.515625f, 0.183594f, 0.199219f}, + {0.125000f, 0.339844f, 0.953125f, 0.921875f}, {0.570312f, 0.671875f, 0.539062f, 0.500000f}, + {0.210938f, 0.730469f, 0.781250f, 0.671875f}, {0.097656f, 0.019531f, 0.019531f, 0.890625f}, + {0.597656f, 0.968750f, 0.835938f, 0.406250f}, {0.468750f, 0.191406f, 0.914062f, 0.082031f}, + {0.042969f, 0.667969f, 0.445312f, 0.847656f}, {0.648438f, 0.421875f, 0.050781f, 0.722656f}, + {0.335938f, 0.773438f, 0.179688f, 0.000000f}, {0.992188f, 0.300781f, 0.636719f, 0.257812f}, + {0.273438f, 0.066406f, 0.093750f, 0.562500f}, {0.750000f, 0.171875f, 0.476562f, 0.902344f}, + {0.902344f, 0.660156f, 0.691406f, 0.320312f}, {0.300781f, 0.445312f, 0.527344f, 0.144531f}, + {0.195312f, 0.621094f, 0.406250f, 0.457031f}, {0.429688f, 0.152344f, 0.968750f, 0.707031f}, + {0.273438f, 0.734375f, 0.453125f, 0.414062f}, {0.003906f, 0.914062f, 0.578125f, 0.265625f}, + {0.410156f, 0.355469f, 0.093750f, 0.484375f}, {0.996094f, 0.847656f, 0.316406f, 0.148438f}, + {0.839844f, 0.605469f, 0.484375f, 0.359375f}, {0.031250f, 0.511719f, 0.898438f, 0.773438f}, + {0.187500f, 0.726562f, 0.679688f, 0.589844f}, {0.867188f, 0.644531f, 0.355469f, 0.390625f}, + {0.136719f, 0.878906f, 0.843750f, 0.640625f}, {0.597656f, 0.589844f, 0.597656f, 0.441406f}, + {0.222656f, 0.394531f, 0.714844f, 0.355469f}, {0.003906f, 0.863281f, 0.031250f, 0.925781f}, + {0.871094f, 0.691406f, 0.761719f, 0.597656f}, {0.621094f, 0.628906f, 0.195312f, 0.414062f}, + {0.230469f, 0.769531f, 0.941406f, 0.074219f}, {0.582031f, 0.929688f, 0.023438f, 0.230469f}, + {0.812500f, 0.433594f, 0.398438f, 0.722656f}, {0.195312f, 0.304688f, 0.996094f, 0.000000f}, + {0.679688f, 0.761719f, 0.089844f, 0.496094f}, {0.593750f, 0.605469f, 0.636719f, 0.925781f}, + {0.222656f, 0.277344f, 0.750000f, 0.136719f}, {0.902344f, 0.730469f, 0.164062f, 0.644531f}, + {0.515625f, 0.191406f, 0.863281f, 0.785156f}, {0.722656f, 0.585938f, 0.031250f, 0.601562f}, + {0.949219f, 0.457031f, 0.921875f, 0.183594f}, {0.312500f, 0.851562f, 0.468750f, 0.066406f}, + {0.003906f, 0.390625f, 0.750000f, 0.257812f}, {0.265625f, 0.304688f, 0.308594f, 0.496094f}, + {0.808594f, 0.097656f, 0.542969f, 0.035156f}, {0.894531f, 0.761719f, 0.136719f, 0.152344f}, + {0.089844f, 0.691406f, 0.992188f, 0.445312f}, {0.382812f, 0.070312f, 0.792969f, 0.070312f}, + {0.011719f, 0.984375f, 0.355469f, 0.843750f}, {0.281250f, 0.308594f, 0.910156f, 0.593750f}, + {0.660156f, 0.648438f, 0.152344f, 0.429688f}, {0.210938f, 0.210938f, 0.468750f, 0.722656f}, + {0.406250f, 0.703125f, 0.019531f, 0.304688f}, {0.148438f, 0.273438f, 0.882812f, 0.078125f}, + {0.832031f, 0.089844f, 0.250000f, 0.968750f}, {0.242188f, 0.863281f, 0.652344f, 0.335938f}, + {0.601562f, 0.371094f, 0.199219f, 0.847656f}, {0.484375f, 0.679688f, 0.062500f, 0.277344f}, + {0.289062f, 0.617188f, 0.453125f, 0.378906f}, {0.941406f, 0.343750f, 0.863281f, 0.515625f}, + {0.152344f, 0.281250f, 0.218750f, 0.128906f}, {0.238281f, 0.746094f, 0.039062f, 0.316406f}, + {0.046875f, 0.636719f, 0.792969f, 0.871094f}, {0.496094f, 0.031250f, 0.351562f, 0.390625f}, + {0.406250f, 0.980469f, 0.660156f, 0.789062f}, {0.707031f, 0.558594f, 0.054688f, 0.609375f}, + {0.886719f, 0.859375f, 0.890625f, 0.320312f}, {0.312500f, 0.132812f, 0.394531f, 0.039062f}, + {0.816406f, 0.265625f, 0.250000f, 0.242188f}, {0.906250f, 0.355469f, 0.097656f, 0.488281f}, + {0.410156f, 0.539062f, 0.746094f, 0.921875f}, {0.769531f, 0.093750f, 0.972656f, 0.539062f}, + {0.203125f, 0.246094f, 0.527344f, 0.425781f}, {0.070312f, 0.695312f, 0.324219f, 0.800781f}, + {0.820312f, 0.878906f, 0.906250f, 0.117188f}, {0.515625f, 0.375000f, 0.574219f, 0.761719f}, + {0.660156f, 0.238281f, 0.941406f, 0.605469f}, {0.113281f, 0.105469f, 0.132812f, 0.835938f}, + {0.710938f, 0.820312f, 0.652344f, 0.238281f}, {0.621094f, 0.394531f, 0.214844f, 0.992188f}, + {0.136719f, 0.253906f, 0.011719f, 0.187500f}, {0.921875f, 0.578125f, 0.902344f, 0.046875f}, + {0.730469f, 0.441406f, 0.246094f, 0.886719f}, {0.300781f, 0.800781f, 0.847656f, 0.957031f}, + {0.238281f, 0.222656f, 0.648438f, 0.687500f}, {0.355469f, 0.894531f, 0.136719f, 0.109375f}, + {0.707031f, 0.027344f, 0.554688f, 0.199219f}, {0.453125f, 0.285156f, 0.003906f, 0.800781f}, + {0.953125f, 0.074219f, 0.511719f, 0.156250f}, {0.750000f, 0.671875f, 0.152344f, 0.863281f}, + {0.824219f, 0.238281f, 0.402344f, 0.699219f}, {0.339844f, 0.003906f, 0.492188f, 0.042969f}, + {0.964844f, 0.980469f, 0.867188f, 0.753906f}, {0.101562f, 0.367188f, 0.617188f, 0.511719f}, + {0.492188f, 0.488281f, 0.363281f, 0.300781f}, {0.062500f, 0.156250f, 0.667969f, 0.800781f}, + {0.277344f, 0.652344f, 0.550781f, 0.355469f}, {0.441406f, 0.062500f, 0.847656f, 0.601562f}, + {0.953125f, 0.535156f, 0.199219f, 0.847656f}, {0.316406f, 0.140625f, 0.011719f, 0.250000f}, + {0.757812f, 0.019531f, 0.910156f, 0.390625f}, {0.359375f, 0.390625f, 0.570312f, 0.042969f}, + {0.054688f, 0.902344f, 0.386719f, 0.863281f}, {0.824219f, 0.339844f, 0.714844f, 0.304688f}, + {0.390625f, 0.632812f, 0.242188f, 0.457031f}, {0.562500f, 0.238281f, 0.589844f, 0.734375f}, + {0.921875f, 0.683594f, 0.097656f, 0.953125f}, {0.507812f, 0.550781f, 0.949219f, 0.816406f}, + {0.671875f, 0.191406f, 0.878906f, 0.617188f}, {0.175781f, 0.835938f, 0.644531f, 0.703125f}, + {0.316406f, 0.273438f, 0.718750f, 0.789062f}, {0.757812f, 0.871094f, 0.000000f, 0.550781f}, + {0.546875f, 0.566406f, 0.113281f, 0.265625f}, {0.472656f, 0.382812f, 0.621094f, 0.941406f}, + {0.925781f, 0.796875f, 0.699219f, 0.156250f}, {0.058594f, 0.437500f, 0.386719f, 0.050781f}, + {0.777344f, 0.945312f, 0.308594f, 0.781250f}, {0.535156f, 0.496094f, 0.820312f, 0.394531f}, + {0.906250f, 0.644531f, 0.125000f, 0.656250f}, {0.703125f, 0.542969f, 0.371094f, 0.144531f}, + {0.804688f, 0.226562f, 0.988281f, 0.914062f}, {0.378906f, 0.906250f, 0.300781f, 0.046875f}, + {0.035156f, 0.175781f, 0.753906f, 0.785156f}, {0.570312f, 0.566406f, 0.628906f, 0.976562f}, + {0.343750f, 0.125000f, 0.390625f, 0.730469f}, {0.804688f, 0.878906f, 0.722656f, 0.238281f}, + {0.605469f, 0.453125f, 0.921875f, 0.539062f}, {0.953125f, 0.257812f, 0.089844f, 0.093750f}, + {0.179688f, 0.085938f, 0.429688f, 0.714844f}, {0.347656f, 0.402344f, 0.281250f, 0.167969f}, + {0.628906f, 0.300781f, 0.613281f, 0.449219f}, {0.007812f, 0.503906f, 0.507812f, 0.984375f}, + {0.539062f, 0.601562f, 0.187500f, 0.710938f}, {0.281250f, 0.835938f, 0.660156f, 0.632812f}, + {0.113281f, 0.738281f, 0.363281f, 0.285156f}, {0.953125f, 0.933594f, 0.593750f, 0.191406f}, + {0.554688f, 0.007812f, 0.238281f, 0.355469f}, {0.683594f, 0.625000f, 0.800781f, 0.980469f}, + {0.417969f, 0.472656f, 0.000000f, 0.500000f}, {0.222656f, 0.984375f, 0.371094f, 0.218750f}, + {0.382812f, 0.777344f, 0.253906f, 0.070312f}, {0.972656f, 0.566406f, 0.808594f, 0.378906f}, + {0.472656f, 0.308594f, 0.316406f, 0.542969f}, {0.789062f, 0.058594f, 0.609375f, 0.781250f}, + {0.855469f, 0.972656f, 0.726562f, 0.648438f}, {0.359375f, 0.652344f, 0.519531f, 0.746094f}, + {0.511719f, 0.000000f, 0.425781f, 0.582031f}, {0.074219f, 0.125000f, 0.750000f, 0.296875f}, + {0.625000f, 0.683594f, 0.382812f, 0.027344f}, {0.546875f, 0.960938f, 0.199219f, 0.523438f}, + {0.792969f, 0.414062f, 0.964844f, 0.917969f}, {0.269531f, 0.488281f, 0.773438f, 0.308594f}, + {0.375000f, 0.332031f, 0.312500f, 0.007812f}, {0.519531f, 0.941406f, 0.894531f, 0.570312f}, + {0.175781f, 0.777344f, 0.226562f, 0.210938f}, {0.558594f, 0.558594f, 0.687500f, 0.324219f}, + {0.449219f, 0.316406f, 0.078125f, 0.828125f}, {0.656250f, 0.101562f, 0.449219f, 0.164062f}, + {0.839844f, 0.832031f, 0.250000f, 0.683594f}, {0.914062f, 0.253906f, 0.777344f, 0.554688f}, + {0.738281f, 0.906250f, 0.144531f, 0.125000f}, {0.550781f, 0.714844f, 0.472656f, 0.945312f}, + {0.039062f, 0.863281f, 0.695312f, 0.660156f}, {0.140625f, 0.445312f, 0.421875f, 0.453125f}, + {0.476562f, 0.832031f, 0.796875f, 0.738281f}, {0.980469f, 0.679688f, 0.496094f, 0.101562f}, + {0.269531f, 0.792969f, 0.121094f, 0.500000f}, {0.160156f, 0.101562f, 0.324219f, 0.152344f}, + {0.656250f, 0.960938f, 0.820312f, 0.894531f}, {0.226562f, 0.000000f, 0.406250f, 0.640625f}, + {0.851562f, 0.742188f, 0.156250f, 0.343750f}, {0.136719f, 0.917969f, 0.359375f, 0.425781f}, + {0.414062f, 0.054688f, 0.492188f, 0.210938f}, {0.613281f, 0.441406f, 0.257812f, 0.300781f}, + {0.941406f, 0.511719f, 0.449219f, 0.972656f}, {0.699219f, 0.128906f, 0.570312f, 0.652344f}, + {0.847656f, 0.226562f, 0.281250f, 0.003906f}, {0.128906f, 0.734375f, 0.871094f, 0.375000f}, + {0.339844f, 0.007812f, 0.535156f, 0.507812f}, {0.726562f, 0.117188f, 0.074219f, 0.894531f}, + {0.257812f, 0.582031f, 0.933594f, 0.570312f}, {0.593750f, 0.171875f, 0.566406f, 0.250000f}, + {0.351562f, 0.410156f, 0.484375f, 0.488281f}, {0.117188f, 0.996094f, 0.703125f, 0.761719f}, + {0.191406f, 0.308594f, 0.843750f, 0.425781f}, {0.992188f, 0.003906f, 0.578125f, 0.609375f}, + {0.769531f, 0.503906f, 0.164062f, 0.097656f}, {0.105469f, 0.816406f, 0.945312f, 0.460938f}, + {0.699219f, 0.046875f, 0.109375f, 0.824219f}, {0.421875f, 0.957031f, 0.535156f, 0.007812f}, + {0.898438f, 0.359375f, 0.312500f, 0.636719f}, {0.281250f, 0.718750f, 0.582031f, 0.964844f}, + {0.082031f, 0.605469f, 0.863281f, 0.285156f}, {0.847656f, 0.800781f, 0.757812f, 0.070312f}, + {0.445312f, 0.203125f, 0.125000f, 0.820312f}, {0.980469f, 0.902344f, 0.714844f, 0.562500f}, + {0.164062f, 0.691406f, 0.921875f, 0.359375f}, {0.734375f, 0.046875f, 0.812500f, 0.144531f}, + {0.613281f, 0.457031f, 0.480469f, 0.777344f}, {0.359375f, 0.320312f, 0.140625f, 0.089844f}, + {0.488281f, 0.574219f, 0.886719f, 0.863281f}, {0.152344f, 0.855469f, 0.703125f, 0.636719f}, + {0.921875f, 0.136719f, 0.421875f, 0.296875f}, {0.011719f, 0.527344f, 0.167969f, 0.710938f}, + {0.601562f, 0.027344f, 0.742188f, 0.441406f}, {0.328125f, 0.707031f, 0.066406f, 0.882812f}, + {0.050781f, 0.906250f, 0.875000f, 0.015625f}, {0.246094f, 0.500000f, 0.378906f, 0.339844f}, + {0.566406f, 0.769531f, 0.117188f, 0.121094f}, {0.179688f, 0.195312f, 0.175781f, 0.386719f}, + {0.656250f, 0.527344f, 0.988281f, 0.816406f}, {0.882812f, 0.304688f, 0.042969f, 0.449219f}, + {0.425781f, 0.375000f, 0.601562f, 0.242188f}, {0.929688f, 0.562500f, 0.812500f, 0.617188f}, + {0.101562f, 0.164062f, 0.261719f, 0.468750f}, {0.644531f, 0.820312f, 0.441406f, 0.718750f}, + {0.023438f, 0.523438f, 0.632812f, 0.261719f}, {0.898438f, 0.437500f, 0.945312f, 0.953125f}, + {0.066406f, 0.140625f, 0.109375f, 0.492188f}, {0.281250f, 0.882812f, 0.832031f, 0.902344f}, + {0.781250f, 0.207031f, 0.292969f, 0.445312f}, {0.148438f, 0.722656f, 0.976562f, 0.089844f}, + {0.402344f, 0.593750f, 0.523438f, 0.960938f}, {0.351562f, 0.046875f, 0.066406f, 0.871094f}, + {0.175781f, 0.402344f, 0.316406f, 0.402344f}, {0.640625f, 0.339844f, 0.937500f, 0.046875f}, + {0.871094f, 0.199219f, 0.589844f, 0.203125f}, {0.414062f, 0.945312f, 0.355469f, 0.316406f}, + {0.691406f, 0.246094f, 0.277344f, 0.902344f}, {0.539062f, 0.507812f, 0.980469f, 0.566406f}, + {0.609375f, 0.167969f, 0.214844f, 0.679688f}, {0.781250f, 0.429688f, 0.617188f, 0.820312f}, + {0.464844f, 0.285156f, 0.875000f, 0.375000f}, {0.101562f, 0.488281f, 0.511719f, 0.019531f}, + {0.710938f, 0.156250f, 0.691406f, 0.121094f}, {0.363281f, 0.359375f, 0.792969f, 0.578125f}, + {0.792969f, 0.593750f, 0.046875f, 0.906250f}, {0.476562f, 0.972656f, 0.199219f, 0.089844f}, + {0.031250f, 0.667969f, 0.824219f, 0.390625f}, {0.242188f, 0.343750f, 0.933594f, 0.480469f}, + {0.421875f, 0.937500f, 0.339844f, 0.132812f}, {0.191406f, 0.613281f, 0.183594f, 0.750000f}, + {0.617188f, 0.472656f, 0.800781f, 0.675781f}, {0.867188f, 0.855469f, 0.230469f, 0.203125f}, + {0.449219f, 0.328125f, 0.660156f, 0.953125f}, {0.964844f, 0.746094f, 0.769531f, 0.828125f}, + {0.007812f, 0.824219f, 0.179688f, 0.011719f}, {0.503906f, 0.125000f, 0.085938f, 0.531250f}, + {0.421875f, 0.777344f, 0.433594f, 0.199219f}, {0.660156f, 0.710938f, 0.027344f, 0.679688f}, + {0.261719f, 0.941406f, 0.347656f, 0.257812f}, {0.527344f, 0.386719f, 0.492188f, 0.351562f}, + {0.843750f, 0.660156f, 0.671875f, 0.179688f}, {0.195312f, 0.195312f, 0.246094f, 0.578125f}, + {0.062500f, 0.539062f, 0.828125f, 0.429688f}, {0.519531f, 0.847656f, 0.156250f, 0.363281f}, + {0.730469f, 0.156250f, 0.472656f, 0.855469f}, {0.789062f, 0.941406f, 0.210938f, 0.527344f}, + {0.250000f, 0.445312f, 0.960938f, 0.218750f}, {0.671875f, 0.078125f, 0.320312f, 0.753906f}, + {0.500000f, 0.378906f, 0.417969f, 0.015625f}, {0.222656f, 0.988281f, 0.066406f, 0.949219f}, + {0.828125f, 0.164062f, 0.285156f, 0.453125f}, {0.031250f, 0.222656f, 0.761719f, 0.589844f}, + {0.878906f, 0.800781f, 0.042969f, 0.691406f}, {0.308594f, 0.351562f, 0.460938f, 0.027344f}, + {0.789062f, 0.417969f, 0.656250f, 0.160156f}, {0.726562f, 0.285156f, 0.972656f, 0.941406f}, + {0.859375f, 0.207031f, 0.597656f, 0.796875f}, {0.535156f, 0.839844f, 0.496094f, 0.621094f}, + {0.941406f, 0.343750f, 0.445312f, 0.285156f}, {0.097656f, 0.164062f, 0.949219f, 0.914062f}, + {0.687500f, 0.421875f, 0.789062f, 0.492188f}, {0.453125f, 0.871094f, 0.675781f, 0.214844f}, + {0.035156f, 0.710938f, 0.289062f, 0.078125f}, {0.781250f, 0.941406f, 0.542969f, 0.703125f}, + {0.207031f, 0.777344f, 0.101562f, 0.867188f}, {0.152344f, 0.089844f, 0.339844f, 0.984375f}, + {0.480469f, 0.257812f, 0.707031f, 0.371094f}, {0.843750f, 0.722656f, 0.070312f, 0.835938f}, + {0.230469f, 0.199219f, 0.750000f, 0.417969f}, {0.417969f, 0.054688f, 0.542969f, 0.773438f}, + {0.617188f, 0.632812f, 0.375000f, 0.070312f}, {0.710938f, 0.386719f, 0.578125f, 0.613281f}, + {0.921875f, 0.500000f, 0.652344f, 0.281250f}, {0.246094f, 0.921875f, 0.164062f, 0.644531f}, + {0.687500f, 0.445312f, 0.890625f, 0.218750f}, {0.023438f, 0.789062f, 0.718750f, 0.476562f}, + {0.996094f, 0.523438f, 0.820312f, 0.269531f}, {0.507812f, 0.117188f, 0.234375f, 0.710938f}, + {0.253906f, 0.628906f, 0.105469f, 0.531250f}, {0.824219f, 0.574219f, 0.886719f, 0.800781f}, + {0.070312f, 0.316406f, 0.050781f, 0.164062f}, {0.199219f, 0.039062f, 0.664062f, 0.964844f}, + {0.867188f, 0.652344f, 0.769531f, 0.277344f}, {0.023438f, 0.867188f, 0.078125f, 0.222656f}, + {0.335938f, 0.769531f, 0.960938f, 0.535156f}, {0.898438f, 0.535156f, 0.015625f, 0.996094f}, + {0.585938f, 0.890625f, 0.269531f, 0.691406f}, {0.054688f, 0.644531f, 0.925781f, 0.175781f}, + {0.980469f, 0.261719f, 0.585938f, 0.511719f}, {0.285156f, 0.789062f, 0.667969f, 0.742188f}, + {0.113281f, 0.023438f, 0.402344f, 0.859375f}, {0.578125f, 0.417969f, 0.066406f, 0.230469f}, + {0.800781f, 0.816406f, 0.753906f, 0.921875f}, {0.992188f, 0.164062f, 0.492188f, 0.816406f}, + {0.519531f, 0.281250f, 0.414062f, 0.289062f}, {0.085938f, 0.675781f, 0.968750f, 0.449219f}, + {0.167969f, 0.964844f, 0.046875f, 0.347656f}, {0.671875f, 0.035156f, 0.347656f, 0.113281f}, + {0.761719f, 0.257812f, 0.277344f, 0.714844f}, {0.300781f, 0.457031f, 0.925781f, 0.316406f}, + {0.578125f, 0.605469f, 0.617188f, 0.984375f}, {0.875000f, 0.082031f, 0.789062f, 0.851562f}, + {0.156250f, 0.437500f, 0.265625f, 0.558594f}, {0.453125f, 0.253906f, 0.738281f, 0.898438f}, + {0.968750f, 0.761719f, 0.882812f, 0.703125f}, {0.312500f, 0.480469f, 0.406250f, 0.949219f}, + {0.679688f, 0.097656f, 0.031250f, 0.773438f}, {0.589844f, 0.308594f, 0.996094f, 0.125000f}, + {0.375000f, 0.679688f, 0.691406f, 0.675781f}, {0.128906f, 0.000000f, 0.375000f, 0.929688f}, + {0.562500f, 0.753906f, 0.570312f, 0.421875f}, {0.050781f, 0.562500f, 0.003906f, 0.304688f}, + {0.386719f, 0.250000f, 0.531250f, 0.648438f}, {0.937500f, 0.781250f, 0.621094f, 0.843750f}, + {0.437500f, 0.636719f, 0.953125f, 0.515625f}, {0.695312f, 0.515625f, 0.214844f, 0.242188f}, + {0.253906f, 0.949219f, 0.562500f, 0.910156f}, {0.636719f, 0.097656f, 0.296875f, 0.406250f}, + {0.453125f, 0.746094f, 0.109375f, 0.566406f}, {0.121094f, 0.917969f, 0.832031f, 0.480469f}, + {0.269531f, 0.632812f, 0.207031f, 0.105469f}, {0.183594f, 0.449219f, 0.281250f, 0.179688f}, + {0.746094f, 0.675781f, 0.031250f, 0.691406f}, {0.402344f, 0.113281f, 0.558594f, 0.574219f}, + {0.894531f, 0.613281f, 0.238281f, 0.839844f}, {0.277344f, 0.277344f, 0.351562f, 0.964844f}, + {0.976562f, 0.074219f, 0.832031f, 0.535156f}, {0.332031f, 0.472656f, 0.464844f, 0.335938f}, + {0.738281f, 0.597656f, 0.882812f, 0.171875f}, {0.601562f, 0.855469f, 0.937500f, 0.125000f}, + {0.292969f, 0.648438f, 0.500000f, 0.058594f}, {0.687500f, 0.996094f, 0.175781f, 0.660156f}, + {0.984375f, 0.582031f, 0.820312f, 0.527344f}, {0.757812f, 0.761719f, 0.253906f, 0.339844f}, + {0.488281f, 0.843750f, 0.472656f, 0.128906f}, {0.324219f, 0.265625f, 0.007812f, 0.726562f}, + {0.085938f, 0.023438f, 0.792969f, 0.386719f}, {0.519531f, 0.664062f, 0.414062f, 0.789062f}, + {0.578125f, 0.175781f, 0.351562f, 0.015625f}, {0.792969f, 0.292969f, 0.035156f, 0.585938f}, + {0.308594f, 0.992188f, 0.441406f, 0.769531f}, {0.105469f, 0.683594f, 0.648438f, 0.988281f}, + {0.765625f, 0.804688f, 0.519531f, 0.093750f}, {0.371094f, 0.074219f, 0.734375f, 0.621094f}, + {0.929688f, 0.746094f, 0.156250f, 0.359375f}, {0.296875f, 0.964844f, 0.546875f, 0.011719f}, + {0.722656f, 0.554688f, 0.453125f, 0.414062f}, {0.402344f, 0.347656f, 0.371094f, 0.761719f}, + {0.964844f, 0.207031f, 0.187500f, 0.078125f}, {0.511719f, 0.074219f, 0.558594f, 0.476562f}, + {0.257812f, 0.808594f, 0.433594f, 0.781250f}, {0.191406f, 0.410156f, 0.746094f, 0.839844f}, + {0.750000f, 0.109375f, 0.117188f, 0.281250f}, {0.531250f, 0.195312f, 0.312500f, 0.031250f}, + {0.859375f, 0.562500f, 0.976562f, 0.570312f}, {0.664062f, 0.703125f, 0.148438f, 0.320312f}, + {0.363281f, 0.078125f, 0.687500f, 0.613281f}, {0.062500f, 0.531250f, 0.593750f, 0.082031f}, + {0.703125f, 0.886719f, 0.105469f, 0.539062f}, {0.316406f, 0.382812f, 0.632812f, 0.035156f}, + {0.390625f, 0.218750f, 0.453125f, 0.644531f}, {0.835938f, 0.562500f, 0.718750f, 0.582031f}, + {0.214844f, 0.660156f, 0.546875f, 0.886719f}, {0.933594f, 0.359375f, 0.875000f, 0.160156f}, + {0.089844f, 0.890625f, 0.218750f, 0.378906f}, {0.730469f, 0.210938f, 0.519531f, 0.062500f}, + {0.359375f, 0.558594f, 0.972656f, 0.480469f}, {0.621094f, 0.324219f, 0.074219f, 0.136719f}, + {0.042969f, 0.871094f, 0.191406f, 0.304688f}, {0.761719f, 0.589844f, 0.449219f, 0.050781f}, + {0.476562f, 0.914062f, 0.750000f, 0.253906f}, {0.929688f, 0.414062f, 0.621094f, 0.476562f}, + {0.218750f, 0.234375f, 0.269531f, 0.195312f}, {0.867188f, 0.519531f, 0.082031f, 0.042969f}, + {0.320312f, 0.648438f, 0.773438f, 0.613281f}, {0.898438f, 0.328125f, 0.882812f, 0.882812f}, + {0.769531f, 0.882812f, 0.175781f, 0.113281f}, {0.093750f, 0.109375f, 0.828125f, 0.183594f}, + {0.566406f, 0.406250f, 0.687500f, 0.378906f}, {0.179688f, 0.714844f, 0.394531f, 0.054688f}, + {0.984375f, 0.042969f, 0.863281f, 0.316406f}, {0.066406f, 0.671875f, 0.937500f, 0.824219f}, + {0.574219f, 0.183594f, 0.351562f, 0.757812f}, {0.371094f, 0.570312f, 0.531250f, 0.347656f}, + {0.675781f, 0.070312f, 0.718750f, 0.261719f}, {0.480469f, 0.949219f, 0.902344f, 0.976562f}, + {0.808594f, 0.250000f, 0.648438f, 0.398438f}, {0.343750f, 0.539062f, 0.761719f, 0.054688f}, + {0.601562f, 0.984375f, 0.082031f, 0.152344f}, {0.828125f, 0.828125f, 0.917969f, 0.730469f}, + {0.121094f, 0.355469f, 0.625000f, 0.636719f}, {0.554688f, 0.226562f, 0.148438f, 0.406250f}, + {0.398438f, 0.148438f, 0.222656f, 0.792969f}, {0.945312f, 0.429688f, 0.664062f, 0.562500f}, + {0.082031f, 0.015625f, 0.410156f, 0.753906f}, {0.351562f, 0.367188f, 0.039062f, 0.187500f}, + {0.562500f, 0.121094f, 0.359375f, 0.238281f}, {0.191406f, 0.308594f, 0.992188f, 0.886719f}, + {0.128906f, 0.703125f, 0.144531f, 0.988281f}, {0.812500f, 0.539062f, 0.707031f, 0.558594f}, + {0.968750f, 0.968750f, 0.933594f, 0.179688f}, {0.429688f, 0.335938f, 0.214844f, 0.929688f}, + {0.195312f, 0.753906f, 0.554688f, 0.859375f}, {0.902344f, 0.867188f, 0.613281f, 0.363281f}, + {0.468750f, 0.031250f, 0.960938f, 0.152344f}, {0.613281f, 0.234375f, 0.183594f, 0.304688f}, + {0.210938f, 0.417969f, 0.292969f, 0.429688f}, {0.570312f, 0.476562f, 0.855469f, 0.882812f}, + {0.652344f, 0.828125f, 0.406250f, 0.480469f}, {0.453125f, 0.386719f, 0.941406f, 0.722656f}, + {0.085938f, 0.117188f, 0.246094f, 0.585938f}, {0.558594f, 0.710938f, 0.730469f, 0.933594f}, + {0.140625f, 0.609375f, 0.804688f, 0.632812f}, {0.828125f, 0.996094f, 0.652344f, 0.320312f}, + {0.687500f, 0.312500f, 0.335938f, 0.234375f}, {0.441406f, 0.472656f, 0.222656f, 0.402344f}, + {0.632812f, 0.730469f, 0.890625f, 0.937500f}, {0.332031f, 0.871094f, 0.531250f, 0.675781f}, + {0.164062f, 0.304688f, 0.464844f, 0.445312f}, {0.906250f, 0.914062f, 0.851562f, 0.160156f}, + {0.460938f, 0.238281f, 0.246094f, 0.722656f}, {0.273438f, 0.753906f, 0.917969f, 0.398438f}, + {0.777344f, 0.046875f, 0.304688f, 0.992188f}, {0.941406f, 0.496094f, 0.863281f, 0.847656f}, + {0.554688f, 0.781250f, 0.144531f, 0.179688f}, {0.050781f, 0.097656f, 0.816406f, 0.406250f}, + {0.621094f, 0.925781f, 0.003906f, 0.789062f}, {0.468750f, 0.515625f, 0.406250f, 0.273438f}, + {0.820312f, 0.156250f, 0.679688f, 0.621094f}, {0.027344f, 0.691406f, 0.140625f, 0.734375f}, + {0.234375f, 0.828125f, 0.382812f, 0.808594f}, {0.890625f, 0.054688f, 0.640625f, 0.410156f}, + {0.398438f, 0.144531f, 0.582031f, 0.652344f}, {0.117188f, 0.722656f, 0.804688f, 0.519531f}, + {0.265625f, 0.035156f, 0.132812f, 0.835938f}, {0.824219f, 0.781250f, 0.335938f, 0.589844f}, + {0.015625f, 0.972656f, 0.503906f, 0.324219f}, {0.644531f, 0.367188f, 0.843750f, 0.792969f}, + {0.460938f, 0.839844f, 0.656250f, 0.375000f}, {0.707031f, 0.179688f, 0.445312f, 0.496094f}, + {0.148438f, 0.484375f, 0.253906f, 0.269531f}, {0.292969f, 0.585938f, 0.347656f, 0.710938f}, + {0.800781f, 0.292969f, 0.101562f, 0.792969f}, {0.343750f, 0.847656f, 0.503906f, 0.992188f}, + {0.511719f, 0.453125f, 0.160156f, 0.542969f}, {0.843750f, 0.261719f, 0.628906f, 0.207031f}, + {0.214844f, 0.878906f, 0.777344f, 0.082031f}, {0.957031f, 0.492188f, 0.054688f, 0.855469f}, + {0.890625f, 0.382812f, 0.136719f, 0.656250f}, {0.019531f, 0.804688f, 0.328125f, 0.519531f}, + {0.636719f, 0.042969f, 0.402344f, 0.753906f}, {0.148438f, 0.753906f, 0.179688f, 0.449219f}, + {0.046875f, 0.398438f, 0.507812f, 0.320312f}, {0.511719f, 0.019531f, 0.429688f, 0.253906f}, + {0.222656f, 0.660156f, 0.003906f, 0.003906f}, {0.707031f, 0.910156f, 0.726562f, 0.933594f}, + {0.011719f, 0.742188f, 0.781250f, 0.281250f}, {0.863281f, 0.316406f, 0.281250f, 0.445312f}, + {0.515625f, 0.496094f, 0.570312f, 0.910156f}, {0.785156f, 0.875000f, 0.867188f, 0.605469f}, + {0.042969f, 0.230469f, 0.207031f, 0.824219f}, {0.667969f, 0.468750f, 0.605469f, 0.472656f}, + {0.878906f, 0.906250f, 0.316406f, 0.046875f}, {0.382812f, 0.164062f, 0.765625f, 0.671875f}, + {0.015625f, 0.093750f, 0.070312f, 0.312500f}, {0.640625f, 0.425781f, 0.277344f, 0.457031f}, + {0.847656f, 0.613281f, 0.859375f, 0.113281f}, {0.062500f, 0.128906f, 0.128906f, 0.691406f}, + {0.726562f, 0.558594f, 0.761719f, 0.503906f}, {0.398438f, 0.355469f, 0.382812f, 0.917969f}, + {0.886719f, 0.925781f, 0.000000f, 0.667969f}, {0.000000f, 0.148438f, 0.792969f, 0.062500f}, + {0.156250f, 0.277344f, 0.597656f, 0.242188f}, {0.808594f, 0.191406f, 0.316406f, 0.855469f}, + {0.945312f, 0.910156f, 0.042969f, 0.117188f}, {0.226562f, 0.453125f, 0.914062f, 0.191406f}, + {0.761719f, 0.250000f, 0.109375f, 0.441406f}, {0.308594f, 0.015625f, 0.480469f, 0.882812f}, + {0.015625f, 0.671875f, 0.847656f, 0.132812f}, {0.878906f, 0.144531f, 0.074219f, 0.605469f}, + {0.933594f, 0.945312f, 0.613281f, 0.074219f}, {0.074219f, 0.503906f, 0.777344f, 0.359375f}, + {0.406250f, 0.378906f, 0.050781f, 0.796875f}, {0.718750f, 0.605469f, 0.367188f, 0.886719f}, + {0.003906f, 0.449219f, 0.554688f, 0.500000f}, {0.218750f, 0.988281f, 0.015625f, 0.218750f}, + {0.640625f, 0.636719f, 0.730469f, 0.769531f}, {0.117188f, 0.144531f, 0.375000f, 0.269531f}, + {0.429688f, 0.429688f, 0.250000f, 0.691406f}, {0.902344f, 0.839844f, 0.488281f, 0.957031f}, + {0.261719f, 0.316406f, 0.949219f, 0.460938f}, {0.339844f, 0.738281f, 0.304688f, 0.085938f}, + {0.531250f, 0.015625f, 0.101562f, 0.507812f}, {0.691406f, 0.984375f, 0.832031f, 0.941406f}, + {0.945312f, 0.378906f, 0.890625f, 0.015625f}, {0.562500f, 0.628906f, 0.324219f, 0.203125f}, + {0.796875f, 0.953125f, 0.011719f, 0.921875f}, {0.656250f, 0.285156f, 0.953125f, 0.730469f}, + {0.167969f, 0.183594f, 0.542969f, 0.085938f}, {0.542969f, 0.468750f, 0.906250f, 0.890625f}, + {0.410156f, 0.617188f, 0.046875f, 0.695312f}, {0.996094f, 0.128906f, 0.199219f, 0.972656f}, + {0.191406f, 0.050781f, 0.945312f, 0.148438f}, {0.511719f, 0.937500f, 0.117188f, 0.738281f}, + {0.613281f, 0.734375f, 0.722656f, 0.910156f}, {0.921875f, 0.019531f, 0.988281f, 0.429688f}, + {0.652344f, 0.972656f, 0.601562f, 0.601562f}, {0.003906f, 0.136719f, 0.746094f, 0.664062f}, + {0.722656f, 0.359375f, 0.011719f, 0.148438f}, {0.402344f, 0.609375f, 0.257812f, 0.718750f}, + {0.765625f, 0.785156f, 0.414062f, 0.437500f}, {0.082031f, 0.296875f, 0.480469f, 0.605469f}, + {0.542969f, 0.144531f, 0.996094f, 0.011719f}, {0.312500f, 0.699219f, 0.589844f, 0.882812f}, + {0.242188f, 0.328125f, 0.859375f, 0.222656f}, {0.968750f, 0.593750f, 0.699219f, 0.804688f}, + {0.425781f, 0.156250f, 0.964844f, 0.902344f}, {0.753906f, 0.492188f, 0.296875f, 0.605469f}, + {0.917969f, 0.792969f, 0.582031f, 0.472656f}, {0.468750f, 0.546875f, 0.382812f, 0.847656f}, + {0.632812f, 0.058594f, 0.074219f, 0.066406f}, {0.261719f, 0.937500f, 0.968750f, 0.683594f}, + {0.160156f, 0.687500f, 0.125000f, 0.320312f}, {0.441406f, 0.781250f, 0.648438f, 0.019531f}, + {0.320312f, 0.972656f, 0.023438f, 0.710938f}, {0.937500f, 0.070312f, 0.429688f, 0.164062f}, + {0.273438f, 0.406250f, 0.886719f, 0.414062f}, {0.585938f, 0.789062f, 0.511719f, 0.804688f}, + {0.234375f, 0.574219f, 0.636719f, 0.230469f}, {0.750000f, 0.832031f, 0.460938f, 0.531250f}, + {0.355469f, 0.250000f, 0.695312f, 0.750000f}, {0.281250f, 0.480469f, 0.328125f, 0.250000f}, + {0.132812f, 0.726562f, 0.500000f, 0.035156f}, {0.671875f, 0.886719f, 0.917969f, 0.601562f}, + {0.972656f, 0.621094f, 0.664062f, 0.199219f}, {0.328125f, 0.699219f, 0.472656f, 0.789062f}, + {0.511719f, 0.519531f, 0.121094f, 0.519531f}, {0.695312f, 0.593750f, 0.699219f, 0.300781f}, + {0.351562f, 0.054688f, 0.503906f, 0.683594f}, {0.621094f, 0.757812f, 0.628906f, 0.351562f}, + {0.484375f, 0.882812f, 0.285156f, 0.808594f}, {0.660156f, 0.394531f, 0.152344f, 0.046875f}, + {0.386719f, 0.574219f, 0.992188f, 0.660156f}, {0.121094f, 0.824219f, 0.691406f, 0.738281f}, + {0.242188f, 0.234375f, 0.410156f, 0.531250f}, {0.601562f, 0.031250f, 0.171875f, 0.191406f}, + {0.773438f, 0.085938f, 0.277344f, 0.960938f}, {0.507812f, 0.839844f, 0.656250f, 0.113281f}, + {0.968750f, 0.179688f, 0.812500f, 0.023438f}, {0.566406f, 0.351562f, 0.203125f, 0.632812f}, + {0.878906f, 0.289062f, 0.515625f, 0.343750f}, {0.484375f, 0.710938f, 0.996094f, 0.121094f}, + {0.183594f, 0.957031f, 0.589844f, 0.519531f}, {0.734375f, 0.191406f, 0.187500f, 0.042969f}, + {0.804688f, 0.621094f, 0.644531f, 0.222656f}, {0.148438f, 0.269531f, 0.757812f, 0.898438f}, + {0.406250f, 0.480469f, 0.574219f, 0.664062f}, {0.109375f, 0.789062f, 0.457031f, 0.328125f}, + {0.296875f, 0.234375f, 0.718750f, 0.246094f}, {0.191406f, 0.523438f, 0.500000f, 0.570312f}, + {0.500000f, 0.449219f, 0.281250f, 0.351562f}, {0.324219f, 0.347656f, 0.218750f, 0.160156f}, + {0.953125f, 0.683594f, 0.378906f, 0.441406f}, {0.710938f, 0.539062f, 0.703125f, 0.382812f}, + {0.097656f, 0.886719f, 0.425781f, 0.003906f}, {0.347656f, 0.281250f, 0.296875f, 0.546875f}, + {0.761719f, 0.695312f, 0.554688f, 0.246094f}, {0.039062f, 0.433594f, 0.386719f, 0.078125f}, + {0.253906f, 0.230469f, 0.496094f, 0.566406f}, {0.378906f, 0.804688f, 0.058594f, 0.023438f}, + {0.449219f, 0.648438f, 0.304688f, 0.335938f}, {0.875000f, 0.199219f, 0.437500f, 0.101562f}, + {0.136719f, 0.917969f, 0.917969f, 0.476562f}, {0.285156f, 0.539062f, 0.847656f, 0.902344f}, + {0.617188f, 0.003906f, 0.703125f, 0.250000f}, {0.167969f, 0.996094f, 0.210938f, 0.953125f}, + {0.429688f, 0.437500f, 0.800781f, 0.308594f}, {0.738281f, 0.847656f, 0.265625f, 0.140625f}, + {0.847656f, 0.210938f, 0.019531f, 0.566406f}, {0.558594f, 0.929688f, 0.125000f, 0.085938f}, + {0.660156f, 0.878906f, 0.808594f, 0.363281f}, {0.179688f, 0.289062f, 0.203125f, 0.671875f}, + {0.308594f, 0.203125f, 0.851562f, 0.117188f}, {0.367188f, 0.414062f, 0.902344f, 0.746094f}, + {0.101562f, 0.621094f, 0.527344f, 0.210938f}, {0.804688f, 0.265625f, 0.332031f, 0.500000f}, + {0.914062f, 0.175781f, 0.464844f, 0.960938f}, {0.726562f, 0.535156f, 0.734375f, 0.378906f}, + {0.628906f, 0.656250f, 0.539062f, 0.628906f}, {0.074219f, 0.601562f, 0.804688f, 0.273438f}, + {0.453125f, 0.347656f, 0.109375f, 0.578125f}, {0.531250f, 0.210938f, 0.378906f, 0.867188f}, + {0.699219f, 0.683594f, 0.175781f, 0.085938f}, {0.156250f, 0.050781f, 0.832031f, 0.972656f}, + {0.492188f, 0.945312f, 0.972656f, 0.625000f}, {0.953125f, 0.382812f, 0.085938f, 0.820312f}, + {0.550781f, 0.199219f, 0.253906f, 0.417969f}, {0.246094f, 0.082031f, 0.566406f, 0.847656f}, + {0.449219f, 0.308594f, 0.070312f, 0.371094f}, {0.785156f, 0.003906f, 0.234375f, 0.132812f}, + {0.097656f, 0.984375f, 0.984375f, 0.746094f}, {0.269531f, 0.847656f, 0.187500f, 0.980469f}, + {0.871094f, 0.656250f, 0.824219f, 0.031250f}, {0.039062f, 0.296875f, 0.398438f, 0.550781f}, + {0.187500f, 0.503906f, 0.882812f, 0.917969f}, {0.992188f, 0.179688f, 0.589844f, 0.500000f}, + {0.789062f, 0.718750f, 0.363281f, 0.289062f}, {0.558594f, 0.332031f, 0.007812f, 0.980469f}, + {0.464844f, 0.531250f, 0.507812f, 0.460938f}, {0.824219f, 0.640625f, 0.902344f, 0.253906f}, + {0.203125f, 0.781250f, 0.722656f, 0.593750f}, {0.304688f, 0.687500f, 0.960938f, 0.308594f}, + {0.136719f, 0.117188f, 0.125000f, 0.707031f}, {0.839844f, 0.550781f, 0.410156f, 0.917969f}, + {0.351562f, 0.808594f, 0.769531f, 0.468750f}, {0.289062f, 0.000000f, 0.074219f, 0.863281f}, + {0.667969f, 0.582031f, 0.691406f, 0.597656f}, {0.015625f, 0.375000f, 0.117188f, 0.371094f}, + {0.578125f, 0.054688f, 0.902344f, 0.765625f}, {0.957031f, 0.882812f, 0.351562f, 0.558594f}, + {0.644531f, 0.417969f, 0.058594f, 0.128906f}, {0.847656f, 0.664062f, 0.238281f, 0.429688f}, + {0.464844f, 0.070312f, 0.171875f, 0.773438f}, {0.746094f, 0.917969f, 0.929688f, 0.855469f}, + {0.000000f, 0.109375f, 0.777344f, 0.613281f}, {0.867188f, 0.851562f, 0.660156f, 0.996094f}, + {0.609375f, 0.796875f, 0.851562f, 0.273438f}, {0.445312f, 0.222656f, 0.160156f, 0.777344f}, + {0.808594f, 0.078125f, 0.597656f, 0.199219f}, {0.277344f, 0.394531f, 0.800781f, 0.636719f}, + {0.582031f, 0.824219f, 0.753906f, 0.464844f}, {0.945312f, 0.511719f, 0.632812f, 0.851562f}, + {0.835938f, 0.316406f, 0.226562f, 0.941406f}, {0.082031f, 0.554688f, 0.863281f, 0.210938f}, + {0.546875f, 0.378906f, 0.785156f, 0.812500f}, {0.222656f, 0.468750f, 0.191406f, 0.289062f}, + {0.953125f, 0.753906f, 0.535156f, 0.843750f}, {0.484375f, 0.089844f, 0.652344f, 0.367188f}, + {0.828125f, 0.226562f, 0.089844f, 0.042969f}, {0.687500f, 0.722656f, 0.566406f, 0.746094f}, + {0.937500f, 0.640625f, 0.375000f, 0.488281f}, {0.496094f, 0.105469f, 0.675781f, 0.386719f}, + {0.113281f, 0.527344f, 0.460938f, 0.699219f}, {0.375000f, 0.453125f, 0.546875f, 0.945312f}, + {0.878906f, 0.679688f, 0.343750f, 0.511719f}, {0.070312f, 0.085938f, 0.644531f, 0.179688f}, + {0.820312f, 0.718750f, 0.480469f, 0.996094f}, {0.992188f, 0.957031f, 0.160156f, 0.390625f}, + {0.683594f, 0.121094f, 0.695312f, 0.582031f}, {0.582031f, 0.824219f, 0.242188f, 0.148438f}, + {0.203125f, 0.382812f, 0.835938f, 0.867188f}, {0.386719f, 0.042969f, 0.925781f, 0.105469f}, + {0.832031f, 0.285156f, 0.296875f, 0.792969f}, {0.152344f, 0.738281f, 0.671875f, 0.945312f}, + {0.765625f, 0.855469f, 0.234375f, 0.347656f}, {0.855469f, 0.511719f, 0.914062f, 0.734375f}, + {0.101562f, 0.917969f, 0.582031f, 0.000000f}, {0.917969f, 0.316406f, 0.019531f, 0.394531f}, + {0.804688f, 0.636719f, 0.410156f, 0.328125f}, {0.601562f, 0.765625f, 0.199219f, 0.171875f}, + {0.027344f, 0.515625f, 0.800781f, 0.949219f}, {0.761719f, 0.835938f, 0.890625f, 0.285156f}, + {0.183594f, 0.429688f, 0.734375f, 0.554688f}, {0.855469f, 0.773438f, 0.433594f, 0.925781f}, + {0.593750f, 0.222656f, 0.871094f, 0.457031f}, {0.402344f, 0.351562f, 0.351562f, 0.625000f}, + {0.917969f, 0.414062f, 0.554688f, 0.402344f}, {0.539062f, 0.136719f, 0.023438f, 0.257812f}, + {0.433594f, 0.792969f, 0.718750f, 0.757812f}, {0.082031f, 0.960938f, 0.210938f, 0.160156f}, + {0.281250f, 0.097656f, 0.789062f, 0.378906f}, {0.714844f, 0.863281f, 0.304688f, 0.859375f}, + {0.343750f, 0.433594f, 0.828125f, 0.000000f}, {0.953125f, 0.976562f, 0.226562f, 0.769531f}, + {0.042969f, 0.273438f, 0.566406f, 0.843750f}, {0.691406f, 0.402344f, 0.335938f, 0.425781f}, + {0.394531f, 0.937500f, 0.476562f, 0.550781f}, {0.613281f, 0.476562f, 0.636719f, 0.808594f}, + {0.093750f, 0.878906f, 0.890625f, 0.167969f}, {0.789062f, 0.234375f, 0.324219f, 0.066406f}, + {0.980469f, 0.511719f, 0.441406f, 0.933594f}, {0.382812f, 0.675781f, 0.796875f, 0.710938f}, + {0.500000f, 0.765625f, 0.273438f, 0.312500f}, {0.078125f, 0.125000f, 0.527344f, 0.839844f}, + {0.757812f, 0.554688f, 0.980469f, 0.187500f}, {0.246094f, 0.332031f, 0.816406f, 0.960938f}, + {0.589844f, 0.167969f, 0.421875f, 0.687500f}, {0.984375f, 0.582031f, 0.609375f, 0.074219f}, + {0.089844f, 0.746094f, 0.097656f, 0.472656f}, {0.375000f, 0.406250f, 0.046875f, 0.117188f}, + {0.238281f, 0.023438f, 0.468750f, 0.664062f}, {0.042969f, 0.570312f, 0.984375f, 0.527344f}, + {0.894531f, 0.988281f, 0.097656f, 0.917969f}, {0.679688f, 0.750000f, 0.882812f, 0.824219f}, + {0.121094f, 0.156250f, 0.015625f, 0.296875f}, {0.417969f, 0.601562f, 0.152344f, 0.675781f}, + {0.714844f, 0.062500f, 0.925781f, 0.367188f}, {0.187500f, 0.878906f, 0.679688f, 0.515625f}, + {0.789062f, 0.097656f, 0.574219f, 0.632812f}, {0.671875f, 0.683594f, 0.132812f, 0.968750f}, + {0.593750f, 0.828125f, 0.363281f, 0.695312f}, {0.332031f, 0.324219f, 0.281250f, 0.535156f}, + {0.058594f, 0.406250f, 0.957031f, 0.585938f}, {0.250000f, 0.871094f, 0.164062f, 0.800781f}, + {0.355469f, 0.574219f, 0.894531f, 0.187500f}, {0.042969f, 0.359375f, 0.070312f, 0.625000f}, + {0.207031f, 0.265625f, 0.949219f, 0.839844f}, {0.703125f, 0.031250f, 0.746094f, 0.039062f}, + {0.273438f, 0.609375f, 0.242188f, 0.246094f}, {0.601562f, 0.371094f, 0.093750f, 0.781250f}, + {0.535156f, 0.859375f, 0.765625f, 0.542969f}, {0.140625f, 0.324219f, 0.035156f, 0.292969f}, + {0.425781f, 0.476562f, 0.605469f, 0.812500f}, {0.292969f, 0.585938f, 0.417969f, 0.660156f}, + {0.023438f, 0.890625f, 0.066406f, 0.246094f}, {0.542969f, 0.445312f, 0.183594f, 0.539062f}, + {0.484375f, 0.152344f, 0.976562f, 0.027344f}, {0.226562f, 0.953125f, 0.480469f, 0.488281f}, + {0.988281f, 0.003906f, 0.054688f, 0.128906f}, {0.339844f, 0.125000f, 0.703125f, 0.648438f}, + {0.406250f, 0.265625f, 0.281250f, 0.511719f}, {0.203125f, 0.453125f, 0.746094f, 0.890625f}, + {0.308594f, 0.164062f, 0.535156f, 0.105469f}, {0.425781f, 0.023438f, 0.679688f, 0.574219f}, + {0.871094f, 0.976562f, 0.609375f, 0.718750f}, {0.371094f, 0.664062f, 0.367188f, 0.078125f}, + {0.531250f, 0.140625f, 0.160156f, 0.660156f}, {0.050781f, 0.570312f, 0.289062f, 0.007812f}, + {0.710938f, 0.488281f, 0.636719f, 0.332031f}, {0.214844f, 0.089844f, 0.773438f, 0.207031f}, + {0.132812f, 0.937500f, 0.097656f, 0.871094f}, {0.746094f, 0.554688f, 0.257812f, 0.097656f}, + {0.832031f, 0.039062f, 0.964844f, 0.601562f}, {0.597656f, 0.625000f, 0.464844f, 0.703125f}, + {0.898438f, 0.371094f, 0.539062f, 0.218750f}, {0.160156f, 0.207031f, 0.132812f, 0.574219f}, + {0.515625f, 0.050781f, 0.937500f, 0.121094f}, {0.089844f, 0.734375f, 0.449219f, 0.343750f}, + {0.640625f, 0.156250f, 0.093750f, 0.671875f}, {0.894531f, 0.578125f, 0.039062f, 0.058594f}, + {0.449219f, 0.218750f, 0.847656f, 0.226562f}, {0.753906f, 0.726562f, 0.175781f, 0.382812f}, + {0.035156f, 0.082031f, 0.261719f, 0.281250f}, {0.542969f, 0.328125f, 0.023438f, 0.652344f}, + {0.234375f, 0.910156f, 0.562500f, 0.433594f}, {0.707031f, 0.449219f, 0.855469f, 0.242188f}, + {0.312500f, 0.941406f, 0.394531f, 0.003906f}, {0.203125f, 0.218750f, 0.035156f, 0.625000f}, + {0.917969f, 0.835938f, 0.628906f, 0.492188f}, {0.363281f, 0.972656f, 0.699219f, 0.382812f}, + {0.156250f, 0.710938f, 0.125000f, 0.035156f}, {0.425781f, 0.265625f, 0.367188f, 0.535156f}, + {0.667969f, 0.875000f, 0.535156f, 0.300781f}, {0.527344f, 0.640625f, 0.742188f, 0.753906f}, + {0.769531f, 0.148438f, 0.328125f, 0.871094f}, {0.152344f, 0.484375f, 0.230469f, 0.046875f}, + {0.488281f, 0.332031f, 0.511719f, 0.339844f}, {0.214844f, 0.656250f, 0.265625f, 0.105469f}, + {0.539062f, 0.906250f, 0.363281f, 0.417969f}, {0.878906f, 0.207031f, 0.464844f, 0.167969f}, + {0.304688f, 0.957031f, 0.324219f, 0.769531f}, {0.496094f, 0.726562f, 0.039062f, 0.117188f}, + {0.980469f, 0.273438f, 0.406250f, 0.453125f}, {0.031250f, 0.167969f, 0.976562f, 0.058594f}, + {0.414062f, 0.585938f, 0.804688f, 0.156250f}, {0.117188f, 0.960938f, 0.023438f, 0.222656f}, + {0.882812f, 0.507812f, 0.449219f, 0.414062f}, {0.554688f, 0.066406f, 0.757812f, 0.113281f}, + {0.808594f, 0.175781f, 0.515625f, 0.984375f}, {0.621094f, 0.937500f, 0.304688f, 0.269531f}, + {0.769531f, 0.824219f, 0.609375f, 0.449219f}, {0.906250f, 0.750000f, 0.386719f, 0.738281f}, + {0.464844f, 0.980469f, 0.878906f, 0.335938f}, {0.000000f, 0.542969f, 0.441406f, 0.429688f}, + {0.781250f, 0.179688f, 0.984375f, 0.027344f}, {0.238281f, 0.765625f, 0.304688f, 0.914062f}, + {0.500000f, 0.011719f, 0.914062f, 0.082031f}, {0.871094f, 0.238281f, 0.792969f, 0.355469f}, + {0.750000f, 0.707031f, 0.632812f, 0.742188f}, {0.945312f, 0.796875f, 0.382812f, 0.433594f}, + {0.109375f, 0.207031f, 0.570312f, 0.316406f}, {0.707031f, 0.492188f, 0.761719f, 0.203125f}, + {0.597656f, 0.390625f, 0.328125f, 0.917969f}, {0.003906f, 0.554688f, 0.941406f, 0.261719f}, + {0.519531f, 0.777344f, 0.453125f, 0.445312f}, {0.628906f, 0.699219f, 0.144531f, 0.679688f}, + {0.066406f, 0.867188f, 0.878906f, 0.226562f}, {0.683594f, 0.589844f, 0.308594f, 0.777344f}, + {0.117188f, 0.246094f, 0.464844f, 0.437500f}, {0.933594f, 0.339844f, 0.027344f, 0.488281f}, + {0.632812f, 0.917969f, 0.925781f, 0.234375f}, {0.320312f, 0.273438f, 0.535156f, 0.886719f}, + {0.980469f, 0.816406f, 0.050781f, 0.734375f}, {0.476562f, 0.734375f, 0.488281f, 0.152344f}, + {0.648438f, 0.187500f, 0.687500f, 0.824219f}, {0.308594f, 0.875000f, 0.847656f, 0.460938f}, + {0.367188f, 0.695312f, 0.417969f, 0.949219f}, {0.234375f, 0.281250f, 0.097656f, 0.035156f}, + {0.007812f, 0.468750f, 0.667969f, 0.421875f}, {0.664062f, 0.921875f, 0.753906f, 0.914062f}, + {0.863281f, 0.597656f, 0.605469f, 0.718750f}, {0.378906f, 0.320312f, 0.386719f, 0.476562f}, + {0.273438f, 0.492188f, 0.683594f, 0.953125f}, {0.550781f, 0.851562f, 0.781250f, 0.144531f}, + {0.167969f, 0.027344f, 0.593750f, 0.613281f}, {0.250000f, 0.367188f, 0.925781f, 0.976562f}, + {0.941406f, 0.656250f, 0.511719f, 0.746094f}, {0.468750f, 0.757812f, 0.675781f, 0.531250f}, + {0.156250f, 0.140625f, 0.953125f, 0.132812f}, {0.890625f, 0.269531f, 0.164062f, 0.792969f}, + {0.820312f, 0.074219f, 0.734375f, 0.988281f}, {0.449219f, 0.605469f, 0.476562f, 0.105469f}, + {0.546875f, 0.503906f, 0.210938f, 0.738281f}, {0.058594f, 0.019531f, 0.320312f, 0.277344f}, + {0.875000f, 0.390625f, 0.867188f, 0.914062f}, {0.718750f, 0.468750f, 0.261719f, 0.808594f}, + {0.281250f, 0.207031f, 0.953125f, 0.175781f}, {0.832031f, 0.312500f, 0.835938f, 0.402344f}, + {0.914062f, 0.945312f, 0.640625f, 0.230469f}, {0.316406f, 0.816406f, 0.402344f, 0.457031f}, + {0.648438f, 0.257812f, 0.730469f, 0.593750f}, {0.976562f, 0.441406f, 0.667969f, 0.730469f}, + {0.363281f, 0.011719f, 0.957031f, 0.984375f}, {0.015625f, 0.363281f, 0.820312f, 0.019531f}, + {0.636719f, 0.476562f, 0.531250f, 0.574219f}, {0.144531f, 0.632812f, 0.734375f, 0.878906f}, + {0.355469f, 0.421875f, 0.253906f, 0.269531f}, {0.269531f, 0.929688f, 0.484375f, 0.730469f}, + {0.773438f, 0.027344f, 0.621094f, 0.339844f}, {0.921875f, 0.253906f, 0.707031f, 0.925781f}, + {0.722656f, 0.660156f, 0.328125f, 0.867188f}, {0.453125f, 0.777344f, 0.839844f, 0.679688f}, + {0.156250f, 0.292969f, 0.234375f, 0.324219f}, {0.988281f, 0.699219f, 0.128906f, 0.062500f}, + {0.523438f, 0.402344f, 0.820312f, 0.898438f}, {0.128906f, 0.140625f, 0.183594f, 0.160156f}, + {0.394531f, 0.238281f, 0.050781f, 0.597656f}, {0.964844f, 0.062500f, 0.660156f, 0.855469f}, + {0.339844f, 0.429688f, 0.558594f, 0.707031f}, {0.722656f, 0.648438f, 0.363281f, 0.628906f}, + {0.921875f, 0.515625f, 0.207031f, 0.460938f}, {0.054688f, 0.988281f, 0.503906f, 0.878906f}, + {0.652344f, 0.089844f, 0.718750f, 0.179688f}, {0.351562f, 0.339844f, 0.140625f, 0.980469f}, + {0.800781f, 0.902344f, 0.085938f, 0.679688f}, {0.429688f, 0.679688f, 0.859375f, 0.765625f}, + {0.296875f, 0.820312f, 0.195312f, 0.546875f}, {0.675781f, 0.613281f, 0.621094f, 0.839844f}, + {0.882812f, 0.933594f, 0.816406f, 0.167969f}, {0.769531f, 0.070312f, 0.363281f, 0.812500f}, + {0.964844f, 0.367188f, 0.062500f, 0.937500f}, {0.480469f, 0.421875f, 0.988281f, 0.351562f}, + {0.226562f, 0.113281f, 0.121094f, 0.144531f}, {0.277344f, 0.726562f, 0.828125f, 0.992188f}, + {0.742188f, 0.464844f, 0.695312f, 0.804688f}, {0.152344f, 0.058594f, 0.398438f, 0.382812f}, + {0.421875f, 0.675781f, 0.960938f, 0.574219f}, {0.792969f, 0.601562f, 0.144531f, 0.511719f}, + {0.031250f, 0.320312f, 0.332031f, 0.648438f}, {0.933594f, 0.441406f, 0.578125f, 0.292969f}, + {0.703125f, 0.230469f, 0.179688f, 0.789062f}, {0.492188f, 0.773438f, 0.925781f, 0.527344f}, + {0.960938f, 0.535156f, 0.339844f, 0.324219f}, {0.425781f, 0.671875f, 0.035156f, 0.820312f}, + {0.734375f, 0.804688f, 0.257812f, 0.628906f}, {0.207031f, 0.113281f, 0.164062f, 0.187500f}, + {0.808594f, 0.902344f, 0.984375f, 0.289062f}, {0.988281f, 0.636719f, 0.300781f, 0.886719f}, + {0.707031f, 0.441406f, 0.214844f, 0.507812f}, {0.328125f, 0.968750f, 0.371094f, 0.015625f}, + {0.859375f, 0.183594f, 0.742188f, 0.839844f}, {0.656250f, 0.570312f, 0.121094f, 0.332031f}, + {0.398438f, 0.414062f, 0.343750f, 0.882812f}, {0.113281f, 0.816406f, 0.234375f, 0.476562f}, + {0.613281f, 0.703125f, 0.656250f, 0.398438f}, {0.027344f, 0.359375f, 0.093750f, 0.550781f}, + {0.683594f, 0.292969f, 0.789062f, 0.855469f}, {0.785156f, 0.804688f, 0.917969f, 0.214844f}, + {0.328125f, 0.910156f, 0.574219f, 0.617188f}, {0.621094f, 0.085938f, 0.007812f, 0.359375f}, + {0.199219f, 0.687500f, 0.445312f, 0.964844f}, {0.117188f, 0.519531f, 0.183594f, 0.699219f}, + {0.574219f, 0.066406f, 0.121094f, 0.628906f}, {0.394531f, 0.605469f, 0.914062f, 0.945312f}, + {0.730469f, 0.718750f, 0.574219f, 0.144531f}, {0.078125f, 0.105469f, 0.066406f, 0.265625f}, + {0.800781f, 0.546875f, 0.191406f, 0.523438f}, {0.460938f, 0.792969f, 0.609375f, 0.703125f}, + {0.746094f, 0.847656f, 0.101562f, 0.218750f}, {0.582031f, 0.125000f, 0.914062f, 0.945312f}, + {0.859375f, 0.335938f, 0.851562f, 0.402344f}, {0.695312f, 0.535156f, 0.070312f, 0.785156f}, + {0.523438f, 0.792969f, 0.207031f, 0.593750f}, {0.210938f, 0.445312f, 0.886719f, 0.464844f}, + {0.628906f, 0.132812f, 0.582031f, 0.000000f}, {0.285156f, 0.902344f, 0.054688f, 0.515625f}, + {0.019531f, 0.472656f, 0.648438f, 0.773438f}, {0.410156f, 0.011719f, 0.414062f, 0.558594f}, + {0.312500f, 0.632812f, 0.699219f, 0.652344f}, {0.230469f, 0.500000f, 0.527344f, 0.500000f}, + {0.656250f, 0.789062f, 0.921875f, 0.109375f}, {0.843750f, 0.308594f, 0.265625f, 0.960938f}, + {0.183594f, 0.835938f, 0.734375f, 0.218750f}, {0.632812f, 0.925781f, 0.109375f, 0.140625f}, + {0.093750f, 0.136719f, 0.847656f, 0.269531f}, {0.394531f, 0.371094f, 0.011719f, 0.523438f}, + {0.191406f, 0.625000f, 0.273438f, 0.046875f}, {0.269531f, 0.566406f, 0.894531f, 0.593750f}, + {0.574219f, 0.035156f, 0.359375f, 0.906250f}, {0.164062f, 0.300781f, 0.523438f, 0.085938f}, + {0.925781f, 0.101562f, 0.425781f, 0.359375f}, {0.089844f, 0.230469f, 0.003906f, 0.054688f}, + {0.257812f, 0.332031f, 0.550781f, 0.589844f}, {0.378906f, 0.187500f, 0.242188f, 0.300781f}, + {0.167969f, 0.531250f, 0.785156f, 0.023438f}, {0.722656f, 0.824219f, 0.640625f, 0.628906f}, + {0.578125f, 0.898438f, 0.519531f, 0.546875f}, {0.835938f, 0.621094f, 0.257812f, 0.054688f}, + {0.503906f, 0.175781f, 0.195312f, 0.691406f}, {0.074219f, 0.394531f, 0.601562f, 0.304688f}, + {0.882812f, 0.953125f, 0.796875f, 0.085938f}, {0.574219f, 0.015625f, 0.230469f, 0.968750f}, + {0.273438f, 0.515625f, 0.886719f, 0.050781f}, {0.113281f, 0.828125f, 0.742188f, 0.367188f}, + {0.816406f, 0.101562f, 0.281250f, 0.183594f}, {0.187500f, 0.968750f, 0.625000f, 0.671875f}, + {0.562500f, 0.003906f, 0.796875f, 0.113281f}, {0.320312f, 0.164062f, 0.898438f, 0.257812f}, + {0.128906f, 0.257812f, 0.503906f, 0.062500f}, {0.593750f, 0.390625f, 0.843750f, 0.542969f}, + {0.472656f, 0.757812f, 0.726562f, 0.402344f}, {0.023438f, 0.062500f, 0.539062f, 0.792969f}, + {0.113281f, 0.296875f, 0.425781f, 0.722656f}, {0.523438f, 0.808594f, 0.054688f, 0.449219f}, + {0.800781f, 0.515625f, 0.816406f, 0.093750f}, {0.054688f, 0.867188f, 0.460938f, 0.207031f}, + {0.566406f, 0.019531f, 0.605469f, 0.582031f}, {0.742188f, 0.992188f, 0.882812f, 0.671875f}, + {0.265625f, 0.472656f, 0.546875f, 0.171875f}, {0.992188f, 0.171875f, 0.964844f, 0.316406f}, + {0.406250f, 0.746094f, 0.429688f, 0.695312f}, {0.132812f, 0.628906f, 0.160156f, 0.453125f}, + {0.488281f, 0.140625f, 0.507812f, 0.136719f}, {0.937500f, 0.562500f, 0.679688f, 0.566406f}, + {0.019531f, 0.789062f, 0.769531f, 0.085938f}, {0.464844f, 0.898438f, 0.597656f, 0.492188f}, + {0.957031f, 0.378906f, 0.304688f, 0.011719f}, {0.050781f, 0.179688f, 0.027344f, 0.765625f}, + {0.261719f, 0.859375f, 0.875000f, 0.375000f}, {0.609375f, 0.964844f, 0.437500f, 0.812500f}, + {0.175781f, 0.296875f, 0.781250f, 0.894531f}, {0.929688f, 0.691406f, 0.289062f, 0.468750f}, + {0.238281f, 0.234375f, 0.382812f, 0.347656f}, {0.093750f, 0.054688f, 0.160156f, 0.652344f}, + {0.914062f, 0.750000f, 0.656250f, 0.035156f}, {0.445312f, 0.863281f, 0.320312f, 0.187500f}, + {0.167969f, 0.199219f, 0.519531f, 0.828125f}, {0.070312f, 0.703125f, 0.117188f, 0.644531f}, + {0.371094f, 0.382812f, 0.386719f, 0.289062f}, {0.949219f, 0.601562f, 0.917969f, 0.144531f}, + {0.675781f, 0.218750f, 0.476562f, 0.394531f}, {0.867188f, 0.550781f, 0.988281f, 0.933594f}, + {0.585938f, 0.960938f, 0.003906f, 0.199219f}, {0.753906f, 0.339844f, 0.328125f, 0.371094f}, + {0.078125f, 0.914062f, 0.773438f, 0.796875f}, {0.542969f, 0.593750f, 0.488281f, 0.308594f}, + {0.449219f, 0.683594f, 0.148438f, 0.558594f}, {0.289062f, 0.218750f, 0.406250f, 0.402344f}, + {0.582031f, 0.281250f, 0.589844f, 0.929688f}, {0.828125f, 0.734375f, 0.941406f, 0.714844f}, + {0.460938f, 0.867188f, 0.449219f, 0.832031f}, {0.960938f, 0.453125f, 0.660156f, 0.398438f}, + {0.027344f, 0.757812f, 0.234375f, 0.230469f}, {0.742188f, 0.972656f, 0.730469f, 0.468750f}, + {0.488281f, 0.429688f, 0.128906f, 0.640625f}, {0.839844f, 0.722656f, 0.968750f, 0.960938f}, + {0.558594f, 0.484375f, 0.664062f, 0.742188f}, {0.039062f, 0.964844f, 0.894531f, 0.390625f}, + {0.812500f, 0.753906f, 0.183594f, 0.503906f}, {0.335938f, 0.281250f, 0.417969f, 0.757812f}, + {0.441406f, 0.035156f, 0.726562f, 0.878906f}, {0.019531f, 0.496094f, 0.347656f, 0.269531f}, + {0.921875f, 0.777344f, 0.867188f, 0.175781f}, {0.679688f, 0.859375f, 0.074219f, 0.605469f}, + {0.355469f, 0.242188f, 0.449219f, 0.433594f}, {0.175781f, 0.363281f, 0.656250f, 0.765625f}, + {0.515625f, 0.898438f, 0.003906f, 0.246094f}, {0.613281f, 0.152344f, 0.468750f, 0.894531f}, + {0.386719f, 0.402344f, 0.523438f, 0.566406f}, {0.066406f, 0.613281f, 0.062500f, 0.988281f}, + {0.765625f, 0.347656f, 0.390625f, 0.449219f}, {0.851562f, 0.843750f, 0.203125f, 0.875000f}, + {0.054688f, 0.445312f, 0.441406f, 0.750000f}, {0.929688f, 0.992188f, 0.644531f, 0.937500f}, + {0.769531f, 0.554688f, 0.000000f, 0.597656f}, {0.632812f, 0.234375f, 0.132812f, 0.101562f}, + {0.367188f, 0.691406f, 0.867188f, 0.347656f}, {0.425781f, 0.125000f, 0.632812f, 0.261719f}, + {0.183594f, 0.613281f, 0.968750f, 0.691406f}, {0.285156f, 0.250000f, 0.078125f, 0.929688f}, + {0.917969f, 0.320312f, 0.292969f, 0.039062f}, {0.347656f, 0.644531f, 0.800781f, 0.269531f}, + {0.851562f, 0.539062f, 0.019531f, 0.945312f}, {0.515625f, 0.882812f, 0.359375f, 0.070312f}, + {0.218750f, 0.050781f, 0.277344f, 0.886719f}, {0.898438f, 0.242188f, 0.714844f, 0.019531f}, + {0.558594f, 0.441406f, 0.062500f, 0.773438f}, {0.250000f, 0.964844f, 0.390625f, 0.902344f}, + {0.820312f, 0.343750f, 0.226562f, 0.265625f}, {0.343750f, 0.003906f, 0.972656f, 0.832031f}, + {0.757812f, 0.753906f, 0.484375f, 0.316406f}, {0.507812f, 0.234375f, 0.808594f, 0.554688f}, + {0.859375f, 0.410156f, 0.347656f, 0.203125f}, {0.425781f, 0.503906f, 0.140625f, 0.062500f}, + {0.687500f, 0.140625f, 0.496094f, 0.601562f}, {0.292969f, 0.582031f, 0.996094f, 0.093750f}, + {0.828125f, 0.386719f, 0.707031f, 0.300781f}, {0.398438f, 0.980469f, 0.578125f, 0.859375f}, + {0.042969f, 0.496094f, 0.441406f, 0.500000f}, {0.320312f, 0.609375f, 0.777344f, 0.550781f}, + {0.601562f, 0.304688f, 0.945312f, 0.089844f}, {0.851562f, 0.093750f, 0.269531f, 0.234375f}, + {0.492188f, 0.988281f, 0.753906f, 0.953125f}, {0.792969f, 0.332031f, 0.175781f, 0.847656f}, + {0.089844f, 0.843750f, 0.726562f, 0.710938f}, {0.183594f, 0.082031f, 0.277344f, 0.246094f}, + {0.476562f, 0.714844f, 0.566406f, 0.039062f}, {0.925781f, 0.187500f, 0.835938f, 0.878906f}, + {0.035156f, 0.109375f, 0.214844f, 0.691406f}, {0.695312f, 0.464844f, 0.621094f, 0.007812f}, + {0.949219f, 0.023438f, 0.968750f, 0.472656f}, {0.136719f, 0.558594f, 0.800781f, 0.769531f}, + {0.773438f, 0.410156f, 0.679688f, 0.066406f}, {0.519531f, 0.816406f, 0.320312f, 0.644531f}, + {0.683594f, 0.066406f, 0.171875f, 0.296875f}, {0.867188f, 0.253906f, 0.820312f, 0.125000f}, + {0.386719f, 0.523438f, 0.054688f, 0.562500f}, {0.332031f, 0.156250f, 0.601562f, 0.863281f}, + {0.648438f, 0.851562f, 0.796875f, 0.281250f}, {0.214844f, 0.644531f, 0.269531f, 0.425781f}, + {0.417969f, 0.023438f, 0.390625f, 0.140625f}, {0.917969f, 0.132812f, 0.082031f, 0.902344f}, + {0.617188f, 0.664062f, 0.496094f, 0.093750f}, {0.101562f, 0.578125f, 0.589844f, 0.207031f}, + {0.996094f, 0.222656f, 0.015625f, 0.414062f}, {0.199219f, 0.996094f, 0.949219f, 0.824219f}, + {0.398438f, 0.316406f, 0.757812f, 0.480469f}, {0.605469f, 0.550781f, 0.562500f, 0.929688f}, + {0.246094f, 0.085938f, 0.300781f, 0.855469f}, {0.832031f, 0.648438f, 0.363281f, 0.128906f}, + {0.914062f, 0.757812f, 0.914062f, 0.699219f}, {0.691406f, 0.566406f, 0.828125f, 0.410156f}, + {0.980469f, 0.292969f, 0.121094f, 0.007812f}, {0.457031f, 0.742188f, 0.949219f, 0.730469f}, + {0.648438f, 0.914062f, 0.714844f, 0.148438f}, {0.257812f, 0.511719f, 0.566406f, 0.503906f}, + {0.527344f, 0.082031f, 0.105469f, 0.375000f}, {0.398438f, 0.707031f, 0.285156f, 0.019531f}, + {0.300781f, 0.183594f, 0.359375f, 0.230469f}, {0.222656f, 0.355469f, 0.933594f, 0.867188f}, + {0.867188f, 0.500000f, 0.476562f, 0.167969f}, {0.964844f, 0.945312f, 0.257812f, 0.636719f}, + {0.683594f, 0.386719f, 0.171875f, 0.535156f}, {0.601562f, 0.074219f, 0.710938f, 0.781250f}, + {0.484375f, 0.785156f, 0.414062f, 0.359375f}, {0.074219f, 0.214844f, 0.503906f, 0.742188f}, + {0.167969f, 0.113281f, 0.144531f, 0.609375f}, {0.640625f, 0.378906f, 0.746094f, 0.800781f}, + {0.304688f, 0.949219f, 0.851562f, 0.507812f}, {0.750000f, 0.507812f, 0.613281f, 0.339844f}, + {0.082031f, 0.671875f, 0.894531f, 0.656250f}, {0.660156f, 0.195312f, 0.324219f, 0.410156f}, + {0.414062f, 0.281250f, 0.824219f, 0.722656f}, {0.703125f, 0.640625f, 0.085938f, 0.167969f}, + {0.597656f, 0.464844f, 0.718750f, 0.437500f}, {0.140625f, 0.578125f, 0.253906f, 0.863281f}, + {0.207031f, 0.667969f, 0.546875f, 0.921875f}, {0.968750f, 0.042969f, 0.679688f, 0.667969f}, + {0.531250f, 0.875000f, 0.218750f, 0.410156f}, {0.117188f, 0.761719f, 0.000000f, 0.164062f}, + {0.488281f, 0.179688f, 0.894531f, 0.800781f}, {0.562500f, 0.660156f, 0.238281f, 0.722656f}, + {0.789062f, 0.265625f, 0.050781f, 0.125000f}, {0.664062f, 0.007812f, 0.835938f, 0.992188f}, + {0.996094f, 0.894531f, 0.410156f, 0.375000f}, {0.753906f, 0.566406f, 0.636719f, 0.757812f}, + {0.234375f, 0.804688f, 0.550781f, 0.437500f}, {0.562500f, 0.046875f, 0.082031f, 0.074219f}, + {0.343750f, 0.757812f, 0.359375f, 0.597656f}, {0.726562f, 0.429688f, 0.863281f, 0.480469f}, + {0.257812f, 0.875000f, 0.136719f, 0.753906f}, {0.816406f, 0.261719f, 0.437500f, 0.429688f}, + {0.332031f, 0.390625f, 0.089844f, 0.273438f}, {0.382812f, 0.742188f, 0.351562f, 0.621094f}, + {0.222656f, 0.890625f, 0.027344f, 0.839844f}, {0.890625f, 0.093750f, 0.246094f, 0.988281f}, + {0.011719f, 0.968750f, 0.539062f, 0.203125f}, {0.316406f, 0.484375f, 0.074219f, 0.363281f}, + {0.238281f, 0.187500f, 0.500000f, 0.496094f}, {0.105469f, 0.660156f, 0.996094f, 0.796875f}, + {0.777344f, 0.386719f, 0.414062f, 0.167969f}, {0.531250f, 0.589844f, 0.308594f, 0.730469f}, + {0.976562f, 0.347656f, 0.871094f, 0.027344f}, {0.125000f, 0.261719f, 0.468750f, 0.691406f}, + {0.710938f, 0.910156f, 0.703125f, 0.531250f}, {0.468750f, 0.812500f, 0.328125f, 0.250000f}, + {0.277344f, 0.441406f, 0.765625f, 0.667969f}, {0.535156f, 0.375000f, 0.917969f, 0.972656f}, + {0.648438f, 0.074219f, 0.292969f, 0.324219f}, {0.785156f, 0.687500f, 0.156250f, 0.710938f}, + {0.304688f, 0.136719f, 0.484375f, 0.011719f}, {0.089844f, 0.714844f, 0.113281f, 0.652344f}, + {0.769531f, 0.453125f, 0.992188f, 0.214844f}, {0.437500f, 0.199219f, 0.703125f, 0.328125f}, + {0.003906f, 0.980469f, 0.171875f, 0.488281f}, {0.300781f, 0.476562f, 0.410156f, 0.621094f}, + {0.218750f, 0.695312f, 0.218750f, 0.843750f}, {0.140625f, 0.058594f, 0.652344f, 0.222656f}, + {0.347656f, 0.199219f, 0.320312f, 0.335938f}, {0.945312f, 0.652344f, 0.863281f, 0.652344f}, + {0.703125f, 0.312500f, 0.976562f, 0.808594f}, {0.171875f, 0.585938f, 0.753906f, 0.292969f}, + {0.906250f, 0.863281f, 0.808594f, 0.683594f}, {0.082031f, 0.781250f, 0.582031f, 0.488281f}, + {0.562500f, 0.007812f, 0.691406f, 0.988281f}, {0.734375f, 0.886719f, 0.332031f, 0.406250f}, + {0.000000f, 0.730469f, 0.550781f, 0.894531f}, {0.234375f, 0.460938f, 0.894531f, 0.117188f}, + {0.761719f, 0.929688f, 0.207031f, 0.492188f}, {0.957031f, 0.683594f, 0.933594f, 0.441406f}, + {0.386719f, 0.828125f, 0.644531f, 0.152344f}, {0.718750f, 0.593750f, 0.246094f, 0.394531f}, + {0.011719f, 0.308594f, 0.484375f, 0.242188f}, {0.839844f, 0.851562f, 0.113281f, 0.972656f}, + {0.359375f, 0.765625f, 0.195312f, 0.199219f}, {0.957031f, 0.406250f, 0.933594f, 0.531250f}, + {0.175781f, 0.117188f, 0.535156f, 0.054688f}, {0.039062f, 0.863281f, 0.648438f, 0.992188f}, + {0.285156f, 0.996094f, 0.152344f, 0.648438f}, {0.898438f, 0.074219f, 0.410156f, 0.117188f}, + {0.375000f, 0.808594f, 0.929688f, 0.507812f}, {0.777344f, 0.347656f, 0.761719f, 0.277344f}, + {0.007812f, 0.937500f, 0.617188f, 0.757812f}, {0.339844f, 0.433594f, 0.816406f, 0.972656f}, + {0.718750f, 0.085938f, 0.328125f, 0.621094f}, {0.957031f, 0.921875f, 0.542969f, 0.250000f}, + {0.214844f, 0.460938f, 0.132812f, 0.421875f}, {0.128906f, 0.734375f, 0.691406f, 0.882812f}, + {0.277344f, 0.398438f, 0.195312f, 0.312500f}, {0.011719f, 0.179688f, 0.011719f, 0.667969f}, + {0.406250f, 0.476562f, 0.960938f, 0.566406f}, {0.140625f, 0.644531f, 0.796875f, 0.175781f}, + {0.898438f, 0.277344f, 0.222656f, 0.343750f}, {0.433594f, 0.156250f, 0.675781f, 0.980469f}, + {0.613281f, 0.664062f, 0.601562f, 0.125000f}, {0.117188f, 0.539062f, 0.953125f, 0.546875f}, + {0.511719f, 0.820312f, 0.722656f, 0.914062f}, {0.859375f, 0.625000f, 0.902344f, 0.156250f}, + {0.593750f, 0.355469f, 0.464844f, 0.332031f}, {0.421875f, 0.167969f, 0.871094f, 0.101562f}, + {0.730469f, 0.707031f, 0.714844f, 0.582031f}, {0.996094f, 0.613281f, 0.375000f, 0.746094f}, + {0.156250f, 0.328125f, 0.769531f, 0.039062f}, {0.625000f, 0.929688f, 0.628906f, 0.949219f}, + {0.449219f, 0.113281f, 0.910156f, 0.625000f}, {0.257812f, 0.800781f, 0.562500f, 0.339844f}, + {0.046875f, 0.054688f, 0.031250f, 0.996094f}, {0.792969f, 0.496094f, 0.160156f, 0.195312f}, + {0.324219f, 0.562500f, 0.929688f, 0.847656f}, {0.175781f, 0.203125f, 0.210938f, 0.789062f}, + {0.863281f, 0.304688f, 0.847656f, 0.468750f}, {0.746094f, 0.925781f, 0.070312f, 0.609375f}, + {0.136719f, 0.843750f, 0.675781f, 0.156250f}, {0.886719f, 0.605469f, 0.390625f, 0.562500f}, + {0.519531f, 0.414062f, 0.636719f, 0.113281f}, {0.710938f, 0.910156f, 0.214844f, 0.375000f}, + {0.964844f, 0.808594f, 0.785156f, 0.531250f}, {0.128906f, 0.281250f, 0.066406f, 0.957031f}, + {0.488281f, 0.031250f, 0.609375f, 0.816406f}, {0.750000f, 0.128906f, 0.542969f, 0.101562f}, + {0.550781f, 0.878906f, 0.757812f, 0.281250f}, {0.886719f, 0.250000f, 0.261719f, 0.917969f}, + {0.808594f, 0.417969f, 0.476562f, 0.585938f}, {0.585938f, 0.812500f, 0.156250f, 0.085938f}, + {0.011719f, 0.027344f, 0.042969f, 0.968750f}, {0.445312f, 0.941406f, 0.515625f, 0.429688f}, + {0.671875f, 0.136719f, 0.179688f, 0.136719f}, {0.812500f, 0.640625f, 0.230469f, 0.832031f}, + {0.480469f, 0.433594f, 0.070312f, 0.562500f}, {0.144531f, 0.281250f, 0.789062f, 0.031250f}, + {0.320312f, 0.179688f, 0.023438f, 0.304688f}, {0.886719f, 0.558594f, 0.757812f, 0.234375f}, + {0.445312f, 0.347656f, 0.371094f, 0.968750f}, {0.121094f, 0.039062f, 0.585938f, 0.863281f}, + {0.816406f, 0.421875f, 0.054688f, 0.648438f}, {0.578125f, 0.160156f, 0.992188f, 0.089844f}, + {0.429688f, 0.722656f, 0.402344f, 0.574219f}, {0.148438f, 0.097656f, 0.562500f, 0.835938f}, + {0.613281f, 0.035156f, 0.785156f, 0.117188f}, {0.468750f, 0.605469f, 0.449219f, 0.296875f}, + {0.851562f, 0.800781f, 0.035156f, 0.609375f}, {0.535156f, 0.523438f, 0.367188f, 0.789062f}, + {0.796875f, 0.152344f, 0.863281f, 0.238281f}, {0.667969f, 0.300781f, 0.585938f, 0.343750f}, + {0.074219f, 0.722656f, 0.042969f, 0.714844f}, {0.574219f, 0.199219f, 0.300781f, 0.039062f}, + {0.648438f, 0.269531f, 0.089844f, 0.464844f}, {0.847656f, 0.621094f, 0.402344f, 0.367188f}, + {0.164062f, 0.527344f, 0.457031f, 0.003906f}, {0.617188f, 0.328125f, 0.742188f, 0.566406f}, + {0.367188f, 0.835938f, 0.972656f, 0.195312f}, {0.468750f, 0.136719f, 0.351562f, 0.695312f}, + {0.542969f, 0.679688f, 0.496094f, 0.480469f}, {0.695312f, 0.941406f, 0.855469f, 0.046875f}, + {0.933594f, 0.234375f, 0.312500f, 0.902344f}, {0.640625f, 0.527344f, 0.429688f, 0.804688f}, + {0.832031f, 0.375000f, 0.500000f, 0.640625f}, {0.046875f, 0.949219f, 0.066406f, 0.292969f}, + {0.984375f, 0.460938f, 0.390625f, 0.824219f}, {0.675781f, 0.066406f, 0.179688f, 0.058594f}, + {0.175781f, 0.992188f, 0.531250f, 0.664062f}, {0.785156f, 0.230469f, 0.660156f, 0.511719f}, + {0.089844f, 0.792969f, 0.300781f, 0.242188f}, {0.652344f, 0.292969f, 0.121094f, 0.699219f}, + {0.480469f, 0.535156f, 0.195312f, 0.433594f}, {0.363281f, 0.777344f, 0.933594f, 0.894531f}, + {0.550781f, 0.011719f, 0.273438f, 0.265625f}, {0.886719f, 0.871094f, 0.144531f, 0.410156f}, + {0.937500f, 0.679688f, 0.699219f, 0.515625f}, {0.183594f, 0.214844f, 0.218750f, 0.097656f}, + {0.855469f, 0.988281f, 0.777344f, 0.457031f}, {0.566406f, 0.761719f, 0.519531f, 0.593750f}, + {0.664062f, 0.394531f, 0.593750f, 0.308594f}, {0.960938f, 0.695312f, 0.113281f, 0.070312f}, + {0.007812f, 0.101562f, 0.425781f, 0.359375f}, {0.242188f, 0.742188f, 0.546875f, 0.042969f}, + {0.355469f, 0.480469f, 0.250000f, 0.921875f}, {0.433594f, 0.187500f, 0.828125f, 0.859375f}, + {0.035156f, 0.000000f, 0.894531f, 0.789062f}, {0.218750f, 0.343750f, 0.535156f, 0.285156f}, + {0.558594f, 0.523438f, 0.433594f, 0.734375f}, {0.371094f, 0.625000f, 0.273438f, 0.031250f}, + {0.652344f, 0.835938f, 0.875000f, 0.171875f}, {0.851562f, 0.375000f, 0.332031f, 0.550781f}, + {0.062500f, 0.605469f, 0.968750f, 0.371094f}, {0.417969f, 0.539062f, 0.031250f, 0.460938f}, + {0.097656f, 0.957031f, 0.820312f, 0.761719f}, {0.500000f, 0.750000f, 0.601562f, 0.191406f}, + {0.242188f, 0.472656f, 0.371094f, 0.535156f}, {0.757812f, 0.269531f, 0.660156f, 0.625000f}, + {0.343750f, 0.394531f, 0.453125f, 0.730469f}, {0.613281f, 0.535156f, 0.914062f, 0.332031f}, + {0.265625f, 0.085938f, 0.410156f, 0.097656f}, {0.410156f, 0.835938f, 0.980469f, 0.757812f}, + {0.832031f, 0.664062f, 0.484375f, 0.812500f}, {0.644531f, 0.128906f, 0.664062f, 0.593750f}, + {0.546875f, 0.761719f, 0.109375f, 0.191406f}, {0.207031f, 0.503906f, 0.304688f, 0.007812f}, + {0.667969f, 0.898438f, 0.812500f, 0.300781f}, {0.253906f, 0.230469f, 0.687500f, 0.921875f}, + {0.976562f, 0.468750f, 0.339844f, 0.687500f}, {0.519531f, 0.554688f, 0.003906f, 0.468750f}, + {0.769531f, 0.359375f, 0.632812f, 0.746094f}, {0.230469f, 0.929688f, 0.289062f, 0.933594f}, + {0.109375f, 0.695312f, 0.691406f, 0.367188f}, {0.328125f, 0.242188f, 0.246094f, 0.484375f}, + {0.984375f, 0.429688f, 0.984375f, 0.082031f}, {0.242188f, 0.910156f, 0.464844f, 0.582031f}, + {0.480469f, 0.488281f, 0.199219f, 0.957031f}, {0.300781f, 0.558594f, 0.835938f, 0.816406f}, + {0.437500f, 0.023438f, 0.957031f, 0.214844f}, {0.933594f, 0.687500f, 0.527344f, 0.859375f}, + {0.269531f, 0.800781f, 0.179688f, 0.511719f}, {0.039062f, 0.222656f, 0.871094f, 0.921875f}, + {0.894531f, 0.062500f, 0.628906f, 0.074219f}, {0.746094f, 0.546875f, 0.277344f, 0.820312f}, + {0.863281f, 0.343750f, 0.589844f, 0.265625f}, {0.335938f, 0.855469f, 0.105469f, 0.140625f}, + {0.078125f, 0.109375f, 0.707031f, 0.515625f}, {0.515625f, 0.722656f, 0.617188f, 0.226562f}, + {0.292969f, 0.886719f, 0.878906f, 0.027344f}, {0.214844f, 0.003906f, 0.937500f, 0.699219f}, + {0.554688f, 0.601562f, 0.757812f, 0.402344f}, {0.390625f, 0.324219f, 0.281250f, 0.207031f}, + {0.304688f, 0.128906f, 0.039062f, 0.957031f}, {0.960938f, 0.500000f, 0.808594f, 0.367188f}, + {0.265625f, 0.031250f, 0.406250f, 0.808594f}, {0.054688f, 0.925781f, 0.613281f, 0.871094f}, + {0.195312f, 0.429688f, 0.558594f, 0.539062f}, {0.835938f, 0.136719f, 0.828125f, 0.121094f}, + {0.699219f, 0.242188f, 0.015625f, 0.660156f}, {0.035156f, 0.464844f, 0.480469f, 0.835938f}, + {0.312500f, 0.554688f, 0.320312f, 0.003906f}, {0.738281f, 0.308594f, 0.093750f, 0.785156f}, + {0.484375f, 0.621094f, 0.406250f, 0.890625f}, {0.375000f, 0.160156f, 0.957031f, 0.386719f}, + {0.093750f, 0.882812f, 0.355469f, 0.125000f}, {0.410156f, 0.015625f, 0.644531f, 0.941406f}, + {0.593750f, 0.597656f, 0.722656f, 0.542969f}, {0.492188f, 0.531250f, 0.984375f, 0.734375f}, + {0.683594f, 0.265625f, 0.464844f, 0.398438f}, {0.835938f, 0.968750f, 0.035156f, 0.242188f}, + {0.945312f, 0.761719f, 0.328125f, 0.453125f}, {0.625000f, 0.246094f, 0.730469f, 0.910156f}, + {0.328125f, 0.078125f, 0.937500f, 0.593750f}, {0.902344f, 0.945312f, 0.015625f, 0.425781f}, + {0.171875f, 0.433594f, 0.488281f, 0.687500f}, {0.250000f, 0.312500f, 0.804688f, 0.781250f}, + {0.609375f, 0.781250f, 0.093750f, 0.941406f}, {0.312500f, 0.097656f, 0.687500f, 0.667969f}, + {0.710938f, 0.160156f, 0.425781f, 0.031250f}, {0.164062f, 0.355469f, 0.945312f, 0.878906f}, + {0.968750f, 0.628906f, 0.738281f, 0.261719f}, {0.839844f, 0.218750f, 0.296875f, 0.058594f}, + {0.128906f, 0.902344f, 0.875000f, 0.933594f}, {0.035156f, 0.726562f, 0.113281f, 0.207031f}, + {0.996094f, 0.335938f, 0.625000f, 0.464844f}, {0.531250f, 0.984375f, 0.277344f, 0.660156f}, + {0.066406f, 0.589844f, 0.148438f, 0.367188f}, {0.363281f, 0.242188f, 0.867188f, 0.707031f}, + {0.945312f, 0.953125f, 0.437500f, 0.527344f}, {0.042969f, 0.292969f, 0.535156f, 0.828125f}, + {0.492188f, 0.617188f, 0.175781f, 0.730469f}, {0.332031f, 0.785156f, 0.886719f, 0.351562f}, + {0.875000f, 0.984375f, 0.226562f, 0.179688f}, {0.062500f, 0.269531f, 0.839844f, 0.039062f}, + {0.292969f, 0.875000f, 0.960938f, 0.421875f}, {0.917969f, 0.175781f, 0.167969f, 0.867188f}, + {0.714844f, 0.324219f, 0.753906f, 0.000000f}, {0.593750f, 0.582031f, 0.523438f, 0.671875f}, + {0.421875f, 0.089844f, 0.117188f, 0.910156f}, {0.136719f, 0.652344f, 0.730469f, 0.402344f}, + {0.750000f, 0.363281f, 0.335938f, 0.179688f}, {0.906250f, 0.824219f, 0.660156f, 0.550781f}, + {0.199219f, 0.976562f, 0.128906f, 0.128906f}, {0.101562f, 0.125000f, 0.714844f, 0.664062f}, + {0.800781f, 0.378906f, 0.257812f, 0.296875f}, {0.515625f, 0.890625f, 0.027344f, 0.773438f}, + {0.414062f, 0.605469f, 0.082031f, 0.351562f}, {0.070312f, 0.765625f, 0.804688f, 0.585938f}, + {0.187500f, 0.433594f, 0.910156f, 0.968750f}, {0.796875f, 0.031250f, 0.468750f, 0.726562f}, + {0.457031f, 0.589844f, 0.156250f, 0.410156f}, {0.160156f, 0.312500f, 0.257812f, 0.949219f}, + {0.718750f, 0.785156f, 0.027344f, 0.363281f}, {0.773438f, 0.210938f, 0.554688f, 0.863281f}, + {0.476562f, 0.683594f, 0.335938f, 0.488281f}, {0.007812f, 0.765625f, 0.839844f, 0.769531f}, + {0.707031f, 0.859375f, 0.488281f, 0.605469f}, {0.445312f, 0.406250f, 0.230469f, 0.082031f}, + {0.566406f, 0.675781f, 0.746094f, 0.464844f}, {0.757812f, 0.582031f, 0.957031f, 0.023438f}, + {0.925781f, 0.843750f, 0.066406f, 0.183594f}, {0.281250f, 0.367188f, 0.429688f, 0.976562f}, + {0.125000f, 0.957031f, 0.644531f, 0.324219f}, {0.421875f, 0.746094f, 0.757812f, 0.214844f}, + {0.675781f, 0.410156f, 0.976562f, 0.933594f}, {0.074219f, 0.914062f, 0.851562f, 0.558594f}, + {0.617188f, 0.070312f, 0.667969f, 0.238281f}, {0.910156f, 0.457031f, 0.246094f, 0.742188f}, + {0.285156f, 0.335938f, 0.824219f, 0.636719f}, {0.722656f, 0.832031f, 0.007812f, 0.828125f}, + {0.816406f, 0.949219f, 0.289062f, 0.273438f}, {0.925781f, 0.152344f, 0.148438f, 0.675781f}, + {0.085938f, 0.359375f, 0.789062f, 0.187500f}, {0.277344f, 0.640625f, 0.585938f, 0.507812f}, + {0.164062f, 0.867188f, 0.105469f, 0.640625f}, {0.457031f, 0.570312f, 0.183594f, 0.050781f}, + {0.789062f, 0.675781f, 0.371094f, 0.203125f}, {0.050781f, 0.164062f, 0.675781f, 0.996094f}, + {0.726562f, 0.718750f, 0.152344f, 0.316406f}, {0.992188f, 0.210938f, 0.578125f, 0.066406f}, + {0.464844f, 0.894531f, 0.386719f, 0.242188f}, {0.792969f, 0.500000f, 0.203125f, 0.140625f}, + {0.925781f, 0.687500f, 0.527344f, 0.414062f}, {0.644531f, 0.062500f, 0.132812f, 0.824219f}, + {0.289062f, 0.847656f, 0.234375f, 0.492188f}, {0.390625f, 0.570312f, 0.054688f, 0.394531f}, + {0.554688f, 0.042969f, 0.546875f, 0.890625f}, {0.917969f, 0.796875f, 0.695312f, 0.589844f}, + {0.203125f, 0.207031f, 0.839844f, 0.273438f}, {0.773438f, 0.484375f, 0.355469f, 0.960938f}, + {0.699219f, 0.035156f, 0.593750f, 0.152344f}, {0.171875f, 0.410156f, 0.218750f, 0.050781f}, + {0.289062f, 0.824219f, 0.921875f, 0.406250f}, {0.851562f, 0.078125f, 0.765625f, 0.261719f}, + {0.781250f, 0.703125f, 0.066406f, 0.457031f}, {0.105469f, 0.000000f, 0.460938f, 0.546875f}, + {0.695312f, 0.140625f, 0.734375f, 0.792969f}, {0.187500f, 0.660156f, 0.515625f, 0.632812f}, + {0.636719f, 0.433594f, 0.085938f, 0.257812f}, {0.402344f, 0.500000f, 0.425781f, 0.562500f}, + {0.003906f, 0.019531f, 0.890625f, 0.214844f}, {0.878906f, 0.953125f, 0.816406f, 0.156250f}, + {0.503906f, 0.847656f, 0.058594f, 0.835938f}, {0.062500f, 0.746094f, 0.617188f, 0.738281f}, + {0.839844f, 0.058594f, 0.902344f, 0.312500f}, {0.691406f, 0.171875f, 0.496094f, 0.640625f}, + {0.390625f, 0.417969f, 0.378906f, 0.433594f}, {0.593750f, 0.742188f, 0.578125f, 0.945312f}, + {0.734375f, 0.484375f, 0.917969f, 0.722656f}, {0.316406f, 0.289062f, 0.667969f, 0.113281f}, + {0.675781f, 0.164062f, 0.429688f, 0.460938f}, {0.972656f, 0.984375f, 0.371094f, 0.628906f}, + {0.628906f, 0.257812f, 0.218750f, 0.015625f}, {0.242188f, 0.656250f, 0.773438f, 0.320312f}, + {0.589844f, 0.957031f, 0.984375f, 0.777344f}, {0.957031f, 0.492188f, 0.402344f, 0.550781f}, + {0.359375f, 0.144531f, 0.726562f, 0.105469f}, {0.859375f, 0.425781f, 0.203125f, 0.582031f}, + {0.113281f, 0.921875f, 0.128906f, 0.261719f}, {0.933594f, 0.253906f, 0.628906f, 0.144531f}, + {0.812500f, 0.570312f, 0.992188f, 0.890625f}, {0.148438f, 0.179688f, 0.093750f, 0.308594f}, + {0.894531f, 0.734375f, 0.160156f, 0.734375f}, {0.339844f, 0.269531f, 0.343750f, 0.628906f}, + {0.621094f, 0.089844f, 0.500000f, 0.394531f}, {0.523438f, 0.644531f, 0.906250f, 0.773438f}, + {0.796875f, 0.507812f, 0.203125f, 0.480469f}, {0.582031f, 0.042969f, 0.367188f, 0.710938f}, }; -#endif /* __EEVEE_LUT_H__ */ +#endif /* __EEVEE_LUT_H__ */ diff --git a/source/blender/draw/engines/eevee/eevee_materials.c b/source/blender/draw/engines/eevee/eevee_materials.c index 94e0231c5fe..9268f2e8a46 100644 --- a/source/blender/draw/engines/eevee/eevee_materials.c +++ b/source/blender/draw/engines/eevee/eevee_materials.c @@ -46,30 +46,30 @@ /* *********** STATIC *********** */ static struct { - char *frag_shader_lib; - char *vert_shader_str; - char *volume_shader_lib; - - struct GPUShader *default_prepass_sh; - struct GPUShader *default_prepass_clip_sh; - struct GPUShader *default_hair_prepass_sh; - struct GPUShader *default_hair_prepass_clip_sh; - struct GPUShader *default_lit[VAR_MAT_MAX]; - struct GPUShader *default_background; - struct GPUShader *update_noise_sh; - - /* 64*64 array texture containing all LUTs and other utilitarian arrays. - * Packing enables us to same precious textures slots. */ - struct GPUTexture *util_tex; - struct GPUTexture *noise_tex; - - struct GPUUniformBuffer *dummy_sss_profile; - - uint sss_count; - - float alpha_hash_offset; - float alpha_hash_scale; - float noise_offsets[3]; + char *frag_shader_lib; + char *vert_shader_str; + char *volume_shader_lib; + + struct GPUShader *default_prepass_sh; + struct GPUShader *default_prepass_clip_sh; + struct GPUShader *default_hair_prepass_sh; + struct GPUShader *default_hair_prepass_clip_sh; + struct GPUShader *default_lit[VAR_MAT_MAX]; + struct GPUShader *default_background; + struct GPUShader *update_noise_sh; + + /* 64*64 array texture containing all LUTs and other utilitarian arrays. + * Packing enables us to same precious textures slots. */ + struct GPUTexture *util_tex; + struct GPUTexture *noise_tex; + + struct GPUUniformBuffer *dummy_sss_profile; + + uint sss_count; + + float alpha_hash_offset; + float alpha_hash_scale; + float noise_offsets[3]; } e_data = {NULL}; /* Engine data */ extern char datatoc_lights_lib_glsl[]; @@ -110,1734 +110,1881 @@ extern char datatoc_gpu_shader_uniform_color_frag_glsl[]; #if 0 /* Used only to generate the LUT values */ static struct GPUTexture *create_ggx_lut_texture(int UNUSED(w), int UNUSED(h)) { - struct GPUTexture *tex; - struct GPUFrameBuffer *fb = NULL; - static float samples_len = 8192.0f; - static float inv_samples_len = 1.0f / 8192.0f; - - char *lib_str = BLI_string_joinN( - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl); - - struct GPUShader *sh = DRW_shader_create_with_lib( - datatoc_lightprobe_vert_glsl, datatoc_lightprobe_geom_glsl, datatoc_bsdf_lut_frag_glsl, lib_str, - "#define HAMMERSLEY_SIZE 8192\n" - "#define BRDF_LUT_SIZE 64\n" - "#define NOISE_SIZE 64\n"); - - DRWPass *pass = DRW_pass_create("LightProbe Filtering", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); - DRW_shgroup_uniform_float(grp, "sampleCount", &samples_len, 1); - DRW_shgroup_uniform_float(grp, "invSampleCount", &inv_samples_len, 1); - DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); - DRW_shgroup_uniform_texture(grp, "texJitter", e_data.jitter); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - - float *texels = MEM_mallocN(sizeof(float[2]) * w * h, "lut"); - - tex = DRW_texture_create_2d(w, h, GPU_RG16F, DRW_TEX_FILTER, (float *)texels); - - DRWFboTexture tex_filter = {&tex, GPU_RG16F, DRW_TEX_FILTER}; - GPU_framebuffer_init(&fb, &draw_engine_eevee_type, w, h, &tex_filter, 1); - - GPU_framebuffer_bind(fb); - DRW_draw_pass(pass); - - float *data = MEM_mallocN(sizeof(float[3]) * w * h, "lut"); - glReadBuffer(GL_COLOR_ATTACHMENT0); - glReadPixels(0, 0, w, h, GL_RGB, GL_FLOAT, data); - - printf("{"); - for (int i = 0; i < w*h * 3; i+=3) { - printf("%ff, %ff, ", data[i], data[i+1]); i+=3; - printf("%ff, %ff, ", data[i], data[i+1]); i+=3; - printf("%ff, %ff, ", data[i], data[i+1]); i+=3; - printf("%ff, %ff, \n", data[i], data[i+1]); - } - printf("}"); - - MEM_freeN(texels); - MEM_freeN(data); - - return tex; + struct GPUTexture *tex; + struct GPUFrameBuffer *fb = NULL; + static float samples_len = 8192.0f; + static float inv_samples_len = 1.0f / 8192.0f; + + char *lib_str = BLI_string_joinN( + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl); + + struct GPUShader *sh = DRW_shader_create_with_lib( + datatoc_lightprobe_vert_glsl, datatoc_lightprobe_geom_glsl, datatoc_bsdf_lut_frag_glsl, lib_str, + "#define HAMMERSLEY_SIZE 8192\n" + "#define BRDF_LUT_SIZE 64\n" + "#define NOISE_SIZE 64\n"); + + DRWPass *pass = DRW_pass_create("LightProbe Filtering", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); + DRW_shgroup_uniform_float(grp, "sampleCount", &samples_len, 1); + DRW_shgroup_uniform_float(grp, "invSampleCount", &inv_samples_len, 1); + DRW_shgroup_uniform_texture(grp, "texHammersley", e_data.hammersley); + DRW_shgroup_uniform_texture(grp, "texJitter", e_data.jitter); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + + float *texels = MEM_mallocN(sizeof(float[2]) * w * h, "lut"); + + tex = DRW_texture_create_2d(w, h, GPU_RG16F, DRW_TEX_FILTER, (float *)texels); + + DRWFboTexture tex_filter = {&tex, GPU_RG16F, DRW_TEX_FILTER}; + GPU_framebuffer_init(&fb, &draw_engine_eevee_type, w, h, &tex_filter, 1); + + GPU_framebuffer_bind(fb); + DRW_draw_pass(pass); + + float *data = MEM_mallocN(sizeof(float[3]) * w * h, "lut"); + glReadBuffer(GL_COLOR_ATTACHMENT0); + glReadPixels(0, 0, w, h, GL_RGB, GL_FLOAT, data); + + printf("{"); + for (int i = 0; i < w*h * 3; i+=3) { + printf("%ff, %ff, ", data[i], data[i+1]); i+=3; + printf("%ff, %ff, ", data[i], data[i+1]); i+=3; + printf("%ff, %ff, ", data[i], data[i+1]); i+=3; + printf("%ff, %ff, \n", data[i], data[i+1]); + } + printf("}"); + + MEM_freeN(texels); + MEM_freeN(data); + + return tex; } static struct GPUTexture *create_ggx_refraction_lut_texture(int w, int h) { - struct GPUTexture *tex; - struct GPUTexture *hammersley = create_hammersley_sample_texture(8192); - struct GPUFrameBuffer *fb = NULL; - static float samples_len = 8192.0f; - static float a2 = 0.0f; - static float inv_samples_len = 1.0f / 8192.0f; - - char *frag_str = BLI_string_joinN( - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_btdf_lut_frag_glsl); - - struct GPUShader *sh = DRW_shader_create_fullscreen(frag_str, - "#define HAMMERSLEY_SIZE 8192\n" - "#define BRDF_LUT_SIZE 64\n" - "#define NOISE_SIZE 64\n" - "#define LUT_SIZE 64\n"); - - MEM_freeN(frag_str); - - DRWPass *pass = DRW_pass_create("LightProbe Filtering", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); - DRW_shgroup_uniform_float(grp, "a2", &a2, 1); - DRW_shgroup_uniform_float(grp, "sampleCount", &samples_len, 1); - DRW_shgroup_uniform_float(grp, "invSampleCount", &inv_samples_len, 1); - DRW_shgroup_uniform_texture(grp, "texHammersley", hammersley); - DRW_shgroup_uniform_texture(grp, "utilTex", e_data.util_tex); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRW_shgroup_call_add(grp, geom, NULL); - - float *texels = MEM_mallocN(sizeof(float[2]) * w * h, "lut"); - - tex = DRW_texture_create_2d(w, h, GPU_R16F, DRW_TEX_FILTER, (float *)texels); - - DRWFboTexture tex_filter = {&tex, GPU_R16F, DRW_TEX_FILTER}; - GPU_framebuffer_init(&fb, &draw_engine_eevee_type, w, h, &tex_filter, 1); - - GPU_framebuffer_bind(fb); - - float *data = MEM_mallocN(sizeof(float[3]) * w * h, "lut"); - - float inc = 1.0f / 31.0f; - float roughness = 1e-8f - inc; - FILE *f = BLI_fopen("btdf_split_sum_ggx.h", "w"); - fprintf(f, "static float btdf_split_sum_ggx[32][64 * 64] = {\n"); - do { - roughness += inc; - CLAMP(roughness, 1e-4f, 1.0f); - a2 = powf(roughness, 4.0f); - DRW_draw_pass(pass); - - GPU_framebuffer_read_data(0, 0, w, h, 3, 0, data); - -#if 1 - fprintf(f, "\t{\n\t\t"); - for (int i = 0; i < w*h * 3; i+=3) { - fprintf(f, "%ff,", data[i]); - if (((i/3)+1) % 12 == 0) fprintf(f, "\n\t\t"); - else fprintf(f, " "); - } - fprintf(f, "\n\t},\n"); -#else - for (int i = 0; i < w*h * 3; i+=3) { - if (data[i] < 0.01) printf(" "); - else if (data[i] < 0.3) printf("."); - else if (data[i] < 0.6) printf("+"); - else if (data[i] < 0.9) printf("%%"); - else printf("#"); - if ((i/3+1) % 64 == 0) printf("\n"); - } -#endif - - } while (roughness < 1.0f); - fprintf(f, "\n};\n"); - - fclose(f); - - MEM_freeN(texels); - MEM_freeN(data); - - return tex; + struct GPUTexture *tex; + struct GPUTexture *hammersley = create_hammersley_sample_texture(8192); + struct GPUFrameBuffer *fb = NULL; + static float samples_len = 8192.0f; + static float a2 = 0.0f; + static float inv_samples_len = 1.0f / 8192.0f; + + char *frag_str = BLI_string_joinN( + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_btdf_lut_frag_glsl); + + struct GPUShader *sh = DRW_shader_create_fullscreen(frag_str, + "#define HAMMERSLEY_SIZE 8192\n" + "#define BRDF_LUT_SIZE 64\n" + "#define NOISE_SIZE 64\n" + "#define LUT_SIZE 64\n"); + + MEM_freeN(frag_str); + + DRWPass *pass = DRW_pass_create("LightProbe Filtering", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); + DRW_shgroup_uniform_float(grp, "a2", &a2, 1); + DRW_shgroup_uniform_float(grp, "sampleCount", &samples_len, 1); + DRW_shgroup_uniform_float(grp, "invSampleCount", &inv_samples_len, 1); + DRW_shgroup_uniform_texture(grp, "texHammersley", hammersley); + DRW_shgroup_uniform_texture(grp, "utilTex", e_data.util_tex); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRW_shgroup_call_add(grp, geom, NULL); + + float *texels = MEM_mallocN(sizeof(float[2]) * w * h, "lut"); + + tex = DRW_texture_create_2d(w, h, GPU_R16F, DRW_TEX_FILTER, (float *)texels); + + DRWFboTexture tex_filter = {&tex, GPU_R16F, DRW_TEX_FILTER}; + GPU_framebuffer_init(&fb, &draw_engine_eevee_type, w, h, &tex_filter, 1); + + GPU_framebuffer_bind(fb); + + float *data = MEM_mallocN(sizeof(float[3]) * w * h, "lut"); + + float inc = 1.0f / 31.0f; + float roughness = 1e-8f - inc; + FILE *f = BLI_fopen("btdf_split_sum_ggx.h", "w"); + fprintf(f, "static float btdf_split_sum_ggx[32][64 * 64] = {\n"); + do { + roughness += inc; + CLAMP(roughness, 1e-4f, 1.0f); + a2 = powf(roughness, 4.0f); + DRW_draw_pass(pass); + + GPU_framebuffer_read_data(0, 0, w, h, 3, 0, data); + +# if 1 + fprintf(f, "\t{\n\t\t"); + for (int i = 0; i < w*h * 3; i+=3) { + fprintf(f, "%ff,", data[i]); + if (((i/3)+1) % 12 == 0) fprintf(f, "\n\t\t"); + else fprintf(f, " "); + } + fprintf(f, "\n\t},\n"); +# else + for (int i = 0; i < w*h * 3; i+=3) { + if (data[i] < 0.01) printf(" "); + else if (data[i] < 0.3) printf("."); + else if (data[i] < 0.6) printf("+"); + else if (data[i] < 0.9) printf("%%"); + else printf("#"); + if ((i/3+1) % 64 == 0) printf("\n"); + } +# endif + + } while (roughness < 1.0f); + fprintf(f, "\n};\n"); + + fclose(f); + + MEM_freeN(texels); + MEM_freeN(data); + + return tex; } #endif /* XXX TODO define all shared resources in a shared place without duplication */ struct GPUTexture *EEVEE_materials_get_util_tex(void) { - return e_data.util_tex; + return e_data.util_tex; } static int eevee_material_shadow_option(int shadow_method) { - switch (shadow_method) { - case SHADOW_ESM: return VAR_MAT_ESM; - case SHADOW_VSM: return VAR_MAT_VSM; - default: - BLI_assert(!"Incorrect Shadow Method"); - break; - } - - return 0; + switch (shadow_method) { + case SHADOW_ESM: + return VAR_MAT_ESM; + case SHADOW_VSM: + return VAR_MAT_VSM; + default: + BLI_assert(!"Incorrect Shadow Method"); + break; + } + + return 0; } static char *eevee_get_defines(int options) { - char *str = NULL; - - DynStr *ds = BLI_dynstr_new(); - BLI_dynstr_append(ds, SHADER_DEFINES); - - if ((options & VAR_MAT_MESH) != 0) { - BLI_dynstr_append(ds, "#define MESH_SHADER\n"); - } - if ((options & VAR_MAT_HAIR) != 0) { - BLI_dynstr_append(ds, "#define HAIR_SHADER\n"); - } - if ((options & VAR_MAT_PROBE) != 0) { - BLI_dynstr_append(ds, "#define PROBE_CAPTURE\n"); - } - if ((options & VAR_MAT_FLAT) != 0) { - BLI_dynstr_append(ds, "#define USE_FLAT_NORMAL\n"); - } - if ((options & VAR_MAT_CLIP) != 0) { - BLI_dynstr_append(ds, "#define USE_ALPHA_CLIP\n"); - } - if ((options & VAR_MAT_SHADOW) != 0) { - BLI_dynstr_append(ds, "#define SHADOW_SHADER\n"); - } - if ((options & VAR_MAT_HASH) != 0) { - BLI_dynstr_append(ds, "#define USE_ALPHA_HASH\n"); - } - if ((options & VAR_MAT_BLEND) != 0) { - BLI_dynstr_append(ds, "#define USE_ALPHA_BLEND\n"); - } - if ((options & VAR_MAT_MULT) != 0) { - BLI_dynstr_append(ds, "#define USE_MULTIPLY\n"); - } - if ((options & VAR_MAT_REFRACT) != 0) { - BLI_dynstr_append(ds, "#define USE_REFRACTION\n"); - } - if ((options & VAR_MAT_SSS) != 0) { - BLI_dynstr_append(ds, "#define USE_SSS\n"); - } - if ((options & VAR_MAT_SSSALBED) != 0) { - BLI_dynstr_append(ds, "#define USE_SSS_ALBEDO\n"); - } - if ((options & VAR_MAT_TRANSLUC) != 0) { - BLI_dynstr_append(ds, "#define USE_TRANSLUCENCY\n"); - } - if ((options & VAR_MAT_VSM) != 0) { - BLI_dynstr_append(ds, "#define SHADOW_VSM\n"); - } - if ((options & VAR_MAT_ESM) != 0) { - BLI_dynstr_append(ds, "#define SHADOW_ESM\n"); - } - if (((options & VAR_MAT_VOLUME) != 0) && ((options & VAR_MAT_BLEND) != 0)) { - BLI_dynstr_append(ds, "#define USE_ALPHA_BLEND_VOLUMETRICS\n"); - } - if ((options & VAR_MAT_LOOKDEV) != 0) { - BLI_dynstr_append(ds, "#define LOOKDEV\n"); - } - - str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - - return str; + char *str = NULL; + + DynStr *ds = BLI_dynstr_new(); + BLI_dynstr_append(ds, SHADER_DEFINES); + + if ((options & VAR_MAT_MESH) != 0) { + BLI_dynstr_append(ds, "#define MESH_SHADER\n"); + } + if ((options & VAR_MAT_HAIR) != 0) { + BLI_dynstr_append(ds, "#define HAIR_SHADER\n"); + } + if ((options & VAR_MAT_PROBE) != 0) { + BLI_dynstr_append(ds, "#define PROBE_CAPTURE\n"); + } + if ((options & VAR_MAT_FLAT) != 0) { + BLI_dynstr_append(ds, "#define USE_FLAT_NORMAL\n"); + } + if ((options & VAR_MAT_CLIP) != 0) { + BLI_dynstr_append(ds, "#define USE_ALPHA_CLIP\n"); + } + if ((options & VAR_MAT_SHADOW) != 0) { + BLI_dynstr_append(ds, "#define SHADOW_SHADER\n"); + } + if ((options & VAR_MAT_HASH) != 0) { + BLI_dynstr_append(ds, "#define USE_ALPHA_HASH\n"); + } + if ((options & VAR_MAT_BLEND) != 0) { + BLI_dynstr_append(ds, "#define USE_ALPHA_BLEND\n"); + } + if ((options & VAR_MAT_MULT) != 0) { + BLI_dynstr_append(ds, "#define USE_MULTIPLY\n"); + } + if ((options & VAR_MAT_REFRACT) != 0) { + BLI_dynstr_append(ds, "#define USE_REFRACTION\n"); + } + if ((options & VAR_MAT_SSS) != 0) { + BLI_dynstr_append(ds, "#define USE_SSS\n"); + } + if ((options & VAR_MAT_SSSALBED) != 0) { + BLI_dynstr_append(ds, "#define USE_SSS_ALBEDO\n"); + } + if ((options & VAR_MAT_TRANSLUC) != 0) { + BLI_dynstr_append(ds, "#define USE_TRANSLUCENCY\n"); + } + if ((options & VAR_MAT_VSM) != 0) { + BLI_dynstr_append(ds, "#define SHADOW_VSM\n"); + } + if ((options & VAR_MAT_ESM) != 0) { + BLI_dynstr_append(ds, "#define SHADOW_ESM\n"); + } + if (((options & VAR_MAT_VOLUME) != 0) && ((options & VAR_MAT_BLEND) != 0)) { + BLI_dynstr_append(ds, "#define USE_ALPHA_BLEND_VOLUMETRICS\n"); + } + if ((options & VAR_MAT_LOOKDEV) != 0) { + BLI_dynstr_append(ds, "#define LOOKDEV\n"); + } + + str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + + return str; } static char *eevee_get_volume_defines(int options) { - char *str = NULL; + char *str = NULL; - DynStr *ds = BLI_dynstr_new(); - BLI_dynstr_append(ds, SHADER_DEFINES); - BLI_dynstr_append(ds, "#define VOLUMETRICS\n"); + DynStr *ds = BLI_dynstr_new(); + BLI_dynstr_append(ds, SHADER_DEFINES); + BLI_dynstr_append(ds, "#define VOLUMETRICS\n"); - if ((options & VAR_MAT_VOLUME) != 0) { - BLI_dynstr_append(ds, "#define MESH_SHADER\n"); - } + if ((options & VAR_MAT_VOLUME) != 0) { + BLI_dynstr_append(ds, "#define MESH_SHADER\n"); + } - str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); + str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); - return str; + return str; } /** * ssr_id can be null to disable ssr contribution. */ -static void add_standard_uniforms( - DRWShadingGroup *shgrp, EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - int *ssr_id, float *refract_depth, - bool use_diffuse, bool use_glossy, bool use_refract, - bool use_ssrefraction, bool use_alpha_blend) +static void add_standard_uniforms(DRWShadingGroup *shgrp, + EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + int *ssr_id, + float *refract_depth, + bool use_diffuse, + bool use_glossy, + bool use_refract, + bool use_ssrefraction, + bool use_alpha_blend) { - LightCache *lcache = vedata->stl->g_data->light_cache; - - if (ssr_id == NULL) { - static int no_ssr = -1.0f; - ssr_id = &no_ssr; - } - - DRW_shgroup_uniform_block(shgrp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(shgrp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(shgrp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(shgrp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(shgrp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_uniform_block(shgrp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_block(shgrp, "clip_block", sldata->clip_ubo); - - if (use_diffuse || use_glossy || use_refract) { - DRW_shgroup_uniform_texture(shgrp, "utilTex", e_data.util_tex); - DRW_shgroup_uniform_texture_ref(shgrp, "shadowCubeTexture", &sldata->shadow_cube_pool); - DRW_shgroup_uniform_texture_ref(shgrp, "shadowCascadeTexture", &sldata->shadow_cascade_pool); - DRW_shgroup_uniform_texture_ref(shgrp, "maxzBuffer", &vedata->txl->maxzbuffer); - } - if ((use_diffuse || use_glossy) && !use_ssrefraction) { - if ((vedata->stl->effects->enabled_effects & EFFECT_GTAO) != 0) { - DRW_shgroup_uniform_texture_ref(shgrp, "horizonBuffer", &vedata->stl->effects->gtao_horizons); - } - else { - /* Use maxzbuffer as fallback to avoid sampling problem on certain platform, see: T52593 */ - DRW_shgroup_uniform_texture_ref(shgrp, "horizonBuffer", &vedata->txl->maxzbuffer); - } - } - if (use_diffuse) { - DRW_shgroup_uniform_texture_ref(shgrp, "irradianceGrid", &lcache->grid_tx.tex); - } - if (use_glossy || use_refract) { - DRW_shgroup_uniform_texture_ref(shgrp, "probeCubes", &lcache->cube_tx.tex); - } - if (use_glossy) { - DRW_shgroup_uniform_texture_ref(shgrp, "probePlanars", &vedata->txl->planar_pool); - DRW_shgroup_uniform_int(shgrp, "outputSsrId", ssr_id, 1); - } - if (use_refract) { - DRW_shgroup_uniform_float_copy(shgrp, "refractionDepth", (refract_depth) ? *refract_depth : 0.0 ); - if (use_ssrefraction) { - DRW_shgroup_uniform_texture_ref(shgrp, "colorBuffer", &vedata->txl->refract_color); - } - } - - if ((vedata->stl->effects->enabled_effects & EFFECT_VOLUMETRIC) != 0 && - use_alpha_blend) - { - /* Do not use history buffers as they already have been swapped */ - DRW_shgroup_uniform_texture_ref(shgrp, "inScattering", &vedata->txl->volume_scatter); - DRW_shgroup_uniform_texture_ref(shgrp, "inTransmittance", &vedata->txl->volume_transmittance); - } + LightCache *lcache = vedata->stl->g_data->light_cache; + + if (ssr_id == NULL) { + static int no_ssr = -1.0f; + ssr_id = &no_ssr; + } + + DRW_shgroup_uniform_block(shgrp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(shgrp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(shgrp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(shgrp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(shgrp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_uniform_block(shgrp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_block(shgrp, "clip_block", sldata->clip_ubo); + + if (use_diffuse || use_glossy || use_refract) { + DRW_shgroup_uniform_texture(shgrp, "utilTex", e_data.util_tex); + DRW_shgroup_uniform_texture_ref(shgrp, "shadowCubeTexture", &sldata->shadow_cube_pool); + DRW_shgroup_uniform_texture_ref(shgrp, "shadowCascadeTexture", &sldata->shadow_cascade_pool); + DRW_shgroup_uniform_texture_ref(shgrp, "maxzBuffer", &vedata->txl->maxzbuffer); + } + if ((use_diffuse || use_glossy) && !use_ssrefraction) { + if ((vedata->stl->effects->enabled_effects & EFFECT_GTAO) != 0) { + DRW_shgroup_uniform_texture_ref( + shgrp, "horizonBuffer", &vedata->stl->effects->gtao_horizons); + } + else { + /* Use maxzbuffer as fallback to avoid sampling problem on certain platform, see: T52593 */ + DRW_shgroup_uniform_texture_ref(shgrp, "horizonBuffer", &vedata->txl->maxzbuffer); + } + } + if (use_diffuse) { + DRW_shgroup_uniform_texture_ref(shgrp, "irradianceGrid", &lcache->grid_tx.tex); + } + if (use_glossy || use_refract) { + DRW_shgroup_uniform_texture_ref(shgrp, "probeCubes", &lcache->cube_tx.tex); + } + if (use_glossy) { + DRW_shgroup_uniform_texture_ref(shgrp, "probePlanars", &vedata->txl->planar_pool); + DRW_shgroup_uniform_int(shgrp, "outputSsrId", ssr_id, 1); + } + if (use_refract) { + DRW_shgroup_uniform_float_copy( + shgrp, "refractionDepth", (refract_depth) ? *refract_depth : 0.0); + if (use_ssrefraction) { + DRW_shgroup_uniform_texture_ref(shgrp, "colorBuffer", &vedata->txl->refract_color); + } + } + + if ((vedata->stl->effects->enabled_effects & EFFECT_VOLUMETRIC) != 0 && use_alpha_blend) { + /* Do not use history buffers as they already have been swapped */ + DRW_shgroup_uniform_texture_ref(shgrp, "inScattering", &vedata->txl->volume_scatter); + DRW_shgroup_uniform_texture_ref(shgrp, "inTransmittance", &vedata->txl->volume_transmittance); + } } static void create_default_shader(int options) { - char *frag_str = BLI_string_joinN( - e_data.frag_shader_lib, - datatoc_default_frag_glsl); + char *frag_str = BLI_string_joinN(e_data.frag_shader_lib, datatoc_default_frag_glsl); - char *defines = eevee_get_defines(options); + char *defines = eevee_get_defines(options); - e_data.default_lit[options] = DRW_shader_create(e_data.vert_shader_str, NULL, frag_str, defines); + e_data.default_lit[options] = DRW_shader_create(e_data.vert_shader_str, NULL, frag_str, defines); - MEM_freeN(defines); - MEM_freeN(frag_str); + MEM_freeN(defines); + MEM_freeN(frag_str); } static void eevee_init_dummys(void) { - e_data.dummy_sss_profile = GPU_material_create_sss_profile_ubo(); + e_data.dummy_sss_profile = GPU_material_create_sss_profile_ubo(); } static void eevee_init_noise_texture(void) { - e_data.noise_tex = DRW_texture_create_2d(64, 64, GPU_RGBA16F, 0, (float *)blue_noise); + e_data.noise_tex = DRW_texture_create_2d(64, 64, GPU_RGBA16F, 0, (float *)blue_noise); } static void eevee_init_util_texture(void) { - const int layers = 4 + 16; - float (*texels)[4] = MEM_mallocN(sizeof(float[4]) * 64 * 64 * layers, "utils texels"); - float (*texels_layer)[4] = texels; - - /* Copy ltc_mat_ggx into 1st layer */ - memcpy(texels_layer, ltc_mat_ggx, sizeof(float[4]) * 64 * 64); - texels_layer += 64 * 64; - - /* Copy bsdf_split_sum_ggx into 2nd layer red and green channels. - Copy ltc_mag_ggx into 2nd layer blue and alpha channel. */ - for (int i = 0; i < 64 * 64; i++) { - texels_layer[i][0] = bsdf_split_sum_ggx[i * 2 + 0]; - texels_layer[i][1] = bsdf_split_sum_ggx[i * 2 + 1]; - texels_layer[i][2] = ltc_mag_ggx[i * 2 + 0]; - texels_layer[i][3] = ltc_mag_ggx[i * 2 + 1]; - } - texels_layer += 64 * 64; - - /* Copy blue noise in 3rd layer */ - for (int i = 0; i < 64 * 64; i++) { - texels_layer[i][0] = blue_noise[i][0]; - texels_layer[i][1] = blue_noise[i][2]; - texels_layer[i][2] = cosf(blue_noise[i][1] * 2.0f * M_PI); - texels_layer[i][3] = sinf(blue_noise[i][1] * 2.0f * M_PI); - } - texels_layer += 64 * 64; - - /* Copy ltc_disk_integral in 4th layer */ - for (int i = 0; i < 64 * 64; i++) { - texels_layer[i][0] = ltc_disk_integral[i]; - texels_layer[i][1] = 0.0; /* UNUSED */ - texels_layer[i][2] = 0.0; /* UNUSED */ - texels_layer[i][3] = 0.0; /* UNUSED */ - } - texels_layer += 64 * 64; - - /* Copy Refraction GGX LUT in layer 5 - 21 */ - for (int j = 0; j < 16; ++j) { - for (int i = 0; i < 64 * 64; i++) { - texels_layer[i][0] = btdf_split_sum_ggx[j * 2][i]; - texels_layer[i][1] = 0.0; /* UNUSED */ - texels_layer[i][2] = 0.0; /* UNUSED */ - texels_layer[i][3] = 0.0; /* UNUSED */ - } - texels_layer += 64 * 64; - } - - e_data.util_tex = DRW_texture_create_2d_array( - 64, 64, layers, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_WRAP, (float *)texels); - - MEM_freeN(texels); + const int layers = 4 + 16; + float(*texels)[4] = MEM_mallocN(sizeof(float[4]) * 64 * 64 * layers, "utils texels"); + float(*texels_layer)[4] = texels; + + /* Copy ltc_mat_ggx into 1st layer */ + memcpy(texels_layer, ltc_mat_ggx, sizeof(float[4]) * 64 * 64); + texels_layer += 64 * 64; + + /* Copy bsdf_split_sum_ggx into 2nd layer red and green channels. + Copy ltc_mag_ggx into 2nd layer blue and alpha channel. */ + for (int i = 0; i < 64 * 64; i++) { + texels_layer[i][0] = bsdf_split_sum_ggx[i * 2 + 0]; + texels_layer[i][1] = bsdf_split_sum_ggx[i * 2 + 1]; + texels_layer[i][2] = ltc_mag_ggx[i * 2 + 0]; + texels_layer[i][3] = ltc_mag_ggx[i * 2 + 1]; + } + texels_layer += 64 * 64; + + /* Copy blue noise in 3rd layer */ + for (int i = 0; i < 64 * 64; i++) { + texels_layer[i][0] = blue_noise[i][0]; + texels_layer[i][1] = blue_noise[i][2]; + texels_layer[i][2] = cosf(blue_noise[i][1] * 2.0f * M_PI); + texels_layer[i][3] = sinf(blue_noise[i][1] * 2.0f * M_PI); + } + texels_layer += 64 * 64; + + /* Copy ltc_disk_integral in 4th layer */ + for (int i = 0; i < 64 * 64; i++) { + texels_layer[i][0] = ltc_disk_integral[i]; + texels_layer[i][1] = 0.0; /* UNUSED */ + texels_layer[i][2] = 0.0; /* UNUSED */ + texels_layer[i][3] = 0.0; /* UNUSED */ + } + texels_layer += 64 * 64; + + /* Copy Refraction GGX LUT in layer 5 - 21 */ + for (int j = 0; j < 16; ++j) { + for (int i = 0; i < 64 * 64; i++) { + texels_layer[i][0] = btdf_split_sum_ggx[j * 2][i]; + texels_layer[i][1] = 0.0; /* UNUSED */ + texels_layer[i][2] = 0.0; /* UNUSED */ + texels_layer[i][3] = 0.0; /* UNUSED */ + } + texels_layer += 64 * 64; + } + + e_data.util_tex = DRW_texture_create_2d_array( + 64, 64, layers, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_WRAP, (float *)texels); + + MEM_freeN(texels); } void EEVEE_update_noise(EEVEE_PassList *psl, EEVEE_FramebufferList *fbl, const double offsets[3]) { - e_data.noise_offsets[0] = offsets[0]; - e_data.noise_offsets[1] = offsets[1]; - e_data.noise_offsets[2] = offsets[2]; - - /* Attach & detach because we don't currently support multiple FB per texture, - * and this would be the case for multiple viewport. */ - GPU_framebuffer_bind(fbl->update_noise_fb); - DRW_draw_pass(psl->update_noise_pass); + e_data.noise_offsets[0] = offsets[0]; + e_data.noise_offsets[1] = offsets[1]; + e_data.noise_offsets[2] = offsets[2]; + + /* Attach & detach because we don't currently support multiple FB per texture, + * and this would be the case for multiple viewport. */ + GPU_framebuffer_bind(fbl->update_noise_fb); + DRW_draw_pass(psl->update_noise_pass); } void EEVEE_update_viewvecs(float invproj[4][4], float winmat[4][4], float (*r_viewvecs)[4]) { - /* view vectors for the corners of the view frustum. - * Can be used to recreate the world space position easily */ - float view_vecs[4][4] = { - {-1.0f, -1.0f, -1.0f, 1.0f}, - { 1.0f, -1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f, 1.0f}, - {-1.0f, -1.0f, 1.0f, 1.0f}, - }; - - /* convert the view vectors to view space */ - const bool is_persp = (winmat[3][3] == 0.0f); - for (int i = 0; i < 4; i++) { - mul_project_m4_v3(invproj, view_vecs[i]); - /* normalized trick see: - * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ - if (is_persp) { - /* Divide XY by Z. */ - mul_v2_fl(view_vecs[i], 1.0f / view_vecs[i][2]); - } - } - - /** - * If ortho : view_vecs[0] is the near-bottom-left corner of the frustum and - * view_vecs[1] is the vector going from the near-bottom-left corner to - * the far-top-right corner. - * If Persp : view_vecs[0].xy and view_vecs[1].xy are respectively the bottom-left corner - * when Z = 1, and top-left corner if Z = 1. - * view_vecs[0].z the near clip distance and view_vecs[1].z is the (signed) - * distance from the near plane to the far clip plane. - */ - copy_v4_v4(r_viewvecs[0], view_vecs[0]); - - /* we need to store the differences */ - r_viewvecs[1][0] = view_vecs[1][0] - view_vecs[0][0]; - r_viewvecs[1][1] = view_vecs[2][1] - view_vecs[0][1]; - r_viewvecs[1][2] = view_vecs[3][2] - view_vecs[0][2]; + /* view vectors for the corners of the view frustum. + * Can be used to recreate the world space position easily */ + float view_vecs[4][4] = { + {-1.0f, -1.0f, -1.0f, 1.0f}, + {1.0f, -1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f, 1.0f}, + {-1.0f, -1.0f, 1.0f, 1.0f}, + }; + + /* convert the view vectors to view space */ + const bool is_persp = (winmat[3][3] == 0.0f); + for (int i = 0; i < 4; i++) { + mul_project_m4_v3(invproj, view_vecs[i]); + /* normalized trick see: + * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ + if (is_persp) { + /* Divide XY by Z. */ + mul_v2_fl(view_vecs[i], 1.0f / view_vecs[i][2]); + } + } + + /** + * If ortho : view_vecs[0] is the near-bottom-left corner of the frustum and + * view_vecs[1] is the vector going from the near-bottom-left corner to + * the far-top-right corner. + * If Persp : view_vecs[0].xy and view_vecs[1].xy are respectively the bottom-left corner + * when Z = 1, and top-left corner if Z = 1. + * view_vecs[0].z the near clip distance and view_vecs[1].z is the (signed) + * distance from the near plane to the far clip plane. + */ + copy_v4_v4(r_viewvecs[0], view_vecs[0]); + + /* we need to store the differences */ + r_viewvecs[1][0] = view_vecs[1][0] - view_vecs[0][0]; + r_viewvecs[1][1] = view_vecs[2][1] - view_vecs[0][1]; + r_viewvecs[1][2] = view_vecs[3][2] - view_vecs[0][2]; } -void EEVEE_materials_init(EEVEE_ViewLayerData *sldata, EEVEE_StorageList *stl, EEVEE_FramebufferList *fbl) +void EEVEE_materials_init(EEVEE_ViewLayerData *sldata, + EEVEE_StorageList *stl, + EEVEE_FramebufferList *fbl) { - if (!e_data.frag_shader_lib) { - /* Shaders */ - e_data.frag_shader_lib = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_ambient_occlusion_lib_glsl, - datatoc_raytrace_lib_glsl, - datatoc_ssr_lib_glsl, - datatoc_octahedron_lib_glsl, - datatoc_irradiance_lib_glsl, - datatoc_lightprobe_lib_glsl, - datatoc_ltc_lib_glsl, - datatoc_lights_lib_glsl, - /* Add one for each Closure */ - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_lit_surface_frag_glsl, - datatoc_volumetric_lib_glsl); - - e_data.volume_shader_lib = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_ambient_occlusion_lib_glsl, - datatoc_octahedron_lib_glsl, - datatoc_irradiance_lib_glsl, - datatoc_lightprobe_lib_glsl, - datatoc_ltc_lib_glsl, - datatoc_lights_lib_glsl, - datatoc_volumetric_lib_glsl, - datatoc_volumetric_frag_glsl); - - e_data.vert_shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_hair_lib_glsl, - datatoc_lit_surface_vert_glsl); - - e_data.default_background = DRW_shader_create( - datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, - NULL); - - e_data.default_prepass_sh = DRW_shader_create( - datatoc_prepass_vert_glsl, NULL, datatoc_prepass_frag_glsl, - NULL); - - e_data.default_prepass_clip_sh = DRW_shader_create( - datatoc_prepass_vert_glsl, NULL, datatoc_prepass_frag_glsl, - "#define CLIP_PLANES\n"); - - char *vert_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_hair_lib_glsl, - datatoc_prepass_vert_glsl); - - e_data.default_hair_prepass_sh = DRW_shader_create( - vert_str, NULL, datatoc_prepass_frag_glsl, - "#define HAIR_SHADER\n"); - - e_data.default_hair_prepass_clip_sh = DRW_shader_create( - vert_str, NULL, datatoc_prepass_frag_glsl, - "#define HAIR_SHADER\n" - "#define CLIP_PLANES\n"); - - MEM_freeN(vert_str); - - e_data.update_noise_sh = DRW_shader_create_fullscreen( - datatoc_update_noise_frag_glsl, NULL); - - eevee_init_util_texture(); - eevee_init_noise_texture(); - eevee_init_dummys(); - } - - if (!DRW_state_is_image_render() && - ((stl->effects->enabled_effects & EFFECT_TAA) == 0)) - { - e_data.alpha_hash_offset = 0.0f; - e_data.alpha_hash_scale = 1.0f; - } - else { - double r; - BLI_halton_1d(5, 0.0, stl->effects->taa_current_sample - 1, &r); - e_data.alpha_hash_offset = (float)r; - e_data.alpha_hash_scale = 0.01f; - } - - { - /* Update view_vecs */ - float invproj[4][4], winmat[4][4]; - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); - - EEVEE_update_viewvecs(invproj, winmat, sldata->common_data.view_vecs); - } - - { - /* Update noise Framebuffer. */ - GPU_framebuffer_ensure_config(&fbl->update_noise_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE_LAYER(e_data.util_tex, 2) - }); - } + if (!e_data.frag_shader_lib) { + /* Shaders */ + e_data.frag_shader_lib = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_ambient_occlusion_lib_glsl, + datatoc_raytrace_lib_glsl, + datatoc_ssr_lib_glsl, + datatoc_octahedron_lib_glsl, + datatoc_irradiance_lib_glsl, + datatoc_lightprobe_lib_glsl, + datatoc_ltc_lib_glsl, + datatoc_lights_lib_glsl, + /* Add one for each Closure */ + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_lit_surface_frag_glsl, + datatoc_volumetric_lib_glsl); + + e_data.volume_shader_lib = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_ambient_occlusion_lib_glsl, + datatoc_octahedron_lib_glsl, + datatoc_irradiance_lib_glsl, + datatoc_lightprobe_lib_glsl, + datatoc_ltc_lib_glsl, + datatoc_lights_lib_glsl, + datatoc_volumetric_lib_glsl, + datatoc_volumetric_frag_glsl); + + e_data.vert_shader_str = BLI_string_joinN( + datatoc_common_view_lib_glsl, datatoc_common_hair_lib_glsl, datatoc_lit_surface_vert_glsl); + + e_data.default_background = DRW_shader_create( + datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, NULL); + + e_data.default_prepass_sh = DRW_shader_create( + datatoc_prepass_vert_glsl, NULL, datatoc_prepass_frag_glsl, NULL); + + e_data.default_prepass_clip_sh = DRW_shader_create( + datatoc_prepass_vert_glsl, NULL, datatoc_prepass_frag_glsl, "#define CLIP_PLANES\n"); + + char *vert_str = BLI_string_joinN( + datatoc_common_view_lib_glsl, datatoc_common_hair_lib_glsl, datatoc_prepass_vert_glsl); + + e_data.default_hair_prepass_sh = DRW_shader_create( + vert_str, NULL, datatoc_prepass_frag_glsl, "#define HAIR_SHADER\n"); + + e_data.default_hair_prepass_clip_sh = DRW_shader_create(vert_str, + NULL, + datatoc_prepass_frag_glsl, + "#define HAIR_SHADER\n" + "#define CLIP_PLANES\n"); + + MEM_freeN(vert_str); + + e_data.update_noise_sh = DRW_shader_create_fullscreen(datatoc_update_noise_frag_glsl, NULL); + + eevee_init_util_texture(); + eevee_init_noise_texture(); + eevee_init_dummys(); + } + + if (!DRW_state_is_image_render() && ((stl->effects->enabled_effects & EFFECT_TAA) == 0)) { + e_data.alpha_hash_offset = 0.0f; + e_data.alpha_hash_scale = 1.0f; + } + else { + double r; + BLI_halton_1d(5, 0.0, stl->effects->taa_current_sample - 1, &r); + e_data.alpha_hash_offset = (float)r; + e_data.alpha_hash_scale = 0.01f; + } + + { + /* Update view_vecs */ + float invproj[4][4], winmat[4][4]; + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); + + EEVEE_update_viewvecs(invproj, winmat, sldata->common_data.view_vecs); + } + + { + /* Update noise Framebuffer. */ + GPU_framebuffer_ensure_config( + &fbl->update_noise_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE_LAYER(e_data.util_tex, 2)}); + } } struct GPUMaterial *EEVEE_material_world_lightprobe_get(struct Scene *scene, World *wo) { - const void *engine = &DRW_engine_viewport_eevee_type; - const int options = VAR_WORLD_PROBE; - - GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, false); - if (mat != NULL) { - return mat; - } - return DRW_shader_create_from_world( - scene, wo, engine, options, - datatoc_background_vert_glsl, NULL, e_data.frag_shader_lib, - SHADER_DEFINES "#define PROBE_CAPTURE\n", false); + const void *engine = &DRW_engine_viewport_eevee_type; + const int options = VAR_WORLD_PROBE; + + GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, false); + if (mat != NULL) { + return mat; + } + return DRW_shader_create_from_world(scene, + wo, + engine, + options, + datatoc_background_vert_glsl, + NULL, + e_data.frag_shader_lib, + SHADER_DEFINES "#define PROBE_CAPTURE\n", + false); } struct GPUMaterial *EEVEE_material_world_background_get(struct Scene *scene, World *wo) { - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_WORLD_BACKGROUND; - - GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, true); - if (mat != NULL) { - return mat; - } - return DRW_shader_create_from_world( - scene, wo, engine, options, - datatoc_background_vert_glsl, NULL, e_data.frag_shader_lib, - SHADER_DEFINES "#define WORLD_BACKGROUND\n", true); + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_WORLD_BACKGROUND; + + GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, true); + if (mat != NULL) { + return mat; + } + return DRW_shader_create_from_world(scene, + wo, + engine, + options, + datatoc_background_vert_glsl, + NULL, + e_data.frag_shader_lib, + SHADER_DEFINES "#define WORLD_BACKGROUND\n", + true); } struct GPUMaterial *EEVEE_material_world_volume_get(struct Scene *scene, World *wo) { - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_WORLD_VOLUME; + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_WORLD_VOLUME; - GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, true); - if (mat != NULL) { - return mat; - } + GPUMaterial *mat = DRW_shader_find_from_world(wo, engine, options, true); + if (mat != NULL) { + return mat; + } - char *defines = eevee_get_volume_defines(options); + char *defines = eevee_get_volume_defines(options); - mat = DRW_shader_create_from_world( - scene, wo, engine, options, - datatoc_volumetric_vert_glsl, datatoc_volumetric_geom_glsl, e_data.volume_shader_lib, - defines, true); + mat = DRW_shader_create_from_world(scene, + wo, + engine, + options, + datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + e_data.volume_shader_lib, + defines, + true); - MEM_freeN(defines); + MEM_freeN(defines); - return mat; + return mat; } -struct GPUMaterial *EEVEE_material_mesh_get( - struct Scene *scene, Material *ma, EEVEE_Data *vedata, - bool use_blend, bool use_multiply, bool use_refract, bool use_sss, bool use_translucency, int shadow_method) +struct GPUMaterial *EEVEE_material_mesh_get(struct Scene *scene, + Material *ma, + EEVEE_Data *vedata, + bool use_blend, + bool use_multiply, + bool use_refract, + bool use_sss, + bool use_translucency, + int shadow_method) { - EEVEE_EffectsInfo *effects = vedata->stl->effects; - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_MAT_MESH; - - if (use_blend) { - options |= VAR_MAT_BLEND; - } - if (use_multiply) { - options |= VAR_MAT_MULT; - } - if (use_refract) { - options |= VAR_MAT_REFRACT; - } - if (use_sss) { - options |= VAR_MAT_SSS; - } - if (use_sss && effects->sss_separate_albedo) { - options |= VAR_MAT_SSSALBED; - } - if (use_translucency) { - options |= VAR_MAT_TRANSLUC; - } - if (((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_blend) { - options |= VAR_MAT_VOLUME; - } - - options |= eevee_material_shadow_option(shadow_method); - - GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); - if (mat) { - return mat; - } - - char *defines = eevee_get_defines(options); - - mat = DRW_shader_create_from_material( - scene, ma, engine, options, - e_data.vert_shader_str, NULL, e_data.frag_shader_lib, - defines, true); - - MEM_freeN(defines); - - return mat; + EEVEE_EffectsInfo *effects = vedata->stl->effects; + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_MAT_MESH; + + if (use_blend) { + options |= VAR_MAT_BLEND; + } + if (use_multiply) { + options |= VAR_MAT_MULT; + } + if (use_refract) { + options |= VAR_MAT_REFRACT; + } + if (use_sss) { + options |= VAR_MAT_SSS; + } + if (use_sss && effects->sss_separate_albedo) { + options |= VAR_MAT_SSSALBED; + } + if (use_translucency) { + options |= VAR_MAT_TRANSLUC; + } + if (((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_blend) { + options |= VAR_MAT_VOLUME; + } + + options |= eevee_material_shadow_option(shadow_method); + + GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); + if (mat) { + return mat; + } + + char *defines = eevee_get_defines(options); + + mat = DRW_shader_create_from_material(scene, + ma, + engine, + options, + e_data.vert_shader_str, + NULL, + e_data.frag_shader_lib, + defines, + true); + + MEM_freeN(defines); + + return mat; } struct GPUMaterial *EEVEE_material_mesh_volume_get(struct Scene *scene, Material *ma) { - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_MAT_VOLUME; + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_MAT_VOLUME; - GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); - if (mat != NULL) { - return mat; - } + GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); + if (mat != NULL) { + return mat; + } - char *defines = eevee_get_volume_defines(options); + char *defines = eevee_get_volume_defines(options); - mat = DRW_shader_create_from_material( - scene, ma, engine, options, - datatoc_volumetric_vert_glsl, datatoc_volumetric_geom_glsl, e_data.volume_shader_lib, - defines, true); + mat = DRW_shader_create_from_material(scene, + ma, + engine, + options, + datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + e_data.volume_shader_lib, + defines, + true); - MEM_freeN(defines); + MEM_freeN(defines); - return mat; + return mat; } -struct GPUMaterial *EEVEE_material_mesh_depth_get( - struct Scene *scene, Material *ma, - bool use_hashed_alpha, bool is_shadow) +struct GPUMaterial *EEVEE_material_mesh_depth_get(struct Scene *scene, + Material *ma, + bool use_hashed_alpha, + bool is_shadow) { - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_MAT_MESH; - - if (use_hashed_alpha) { - options |= VAR_MAT_HASH; - } - else { - options |= VAR_MAT_CLIP; - } - - if (is_shadow) { - options |= VAR_MAT_SHADOW; - } - - GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); - if (mat) { - return mat; - } - - char *defines = eevee_get_defines(options); - - char *frag_str = BLI_string_joinN( - e_data.frag_shader_lib, - datatoc_prepass_frag_glsl); - - mat = DRW_shader_create_from_material( - scene, ma, engine, options, - (is_shadow) ? datatoc_shadow_vert_glsl : e_data.vert_shader_str, - NULL, - frag_str, - defines, - true); - - MEM_freeN(frag_str); - MEM_freeN(defines); - - return mat; + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_MAT_MESH; + + if (use_hashed_alpha) { + options |= VAR_MAT_HASH; + } + else { + options |= VAR_MAT_CLIP; + } + + if (is_shadow) { + options |= VAR_MAT_SHADOW; + } + + GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); + if (mat) { + return mat; + } + + char *defines = eevee_get_defines(options); + + char *frag_str = BLI_string_joinN(e_data.frag_shader_lib, datatoc_prepass_frag_glsl); + + mat = DRW_shader_create_from_material(scene, + ma, + engine, + options, + (is_shadow) ? datatoc_shadow_vert_glsl : + e_data.vert_shader_str, + NULL, + frag_str, + defines, + true); + + MEM_freeN(frag_str); + MEM_freeN(defines); + + return mat; } -struct GPUMaterial *EEVEE_material_hair_get( - struct Scene *scene, Material *ma, int shadow_method) +struct GPUMaterial *EEVEE_material_hair_get(struct Scene *scene, Material *ma, int shadow_method) { - const void *engine = &DRW_engine_viewport_eevee_type; - int options = VAR_MAT_MESH | VAR_MAT_HAIR; + const void *engine = &DRW_engine_viewport_eevee_type; + int options = VAR_MAT_MESH | VAR_MAT_HAIR; - options |= eevee_material_shadow_option(shadow_method); + options |= eevee_material_shadow_option(shadow_method); - GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); - if (mat) { - return mat; - } + GPUMaterial *mat = DRW_shader_find_from_material(ma, engine, options, true); + if (mat) { + return mat; + } - char *defines = eevee_get_defines(options); + char *defines = eevee_get_defines(options); - mat = DRW_shader_create_from_material( - scene, ma, engine, options, - e_data.vert_shader_str, NULL, e_data.frag_shader_lib, - defines, true); + mat = DRW_shader_create_from_material(scene, + ma, + engine, + options, + e_data.vert_shader_str, + NULL, + e_data.frag_shader_lib, + defines, + true); - MEM_freeN(defines); + MEM_freeN(defines); - return mat; + return mat; } /** * Create a default shading group inside the given pass. */ -static struct DRWShadingGroup *EEVEE_default_shading_group_create( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, DRWPass *pass, - bool is_hair, bool is_flat_normal, bool use_blend, bool use_ssr, int shadow_method) +static struct DRWShadingGroup *EEVEE_default_shading_group_create(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + DRWPass *pass, + bool is_hair, + bool is_flat_normal, + bool use_blend, + bool use_ssr, + int shadow_method) { - EEVEE_EffectsInfo *effects = vedata->stl->effects; - static int ssr_id; - ssr_id = (use_ssr) ? 1 : -1; - int options = VAR_MAT_MESH; - - if (is_hair) { - options |= VAR_MAT_HAIR; - } - if (is_flat_normal) { - options |= VAR_MAT_FLAT; - } - if (use_blend) { - options |= VAR_MAT_BLEND; - } - if (((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_blend) { - options |= VAR_MAT_VOLUME; - } - - options |= eevee_material_shadow_option(shadow_method); - - if (e_data.default_lit[options] == NULL) { - create_default_shader(options); - } - - DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], pass); - add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, use_blend); - - return shgrp; + EEVEE_EffectsInfo *effects = vedata->stl->effects; + static int ssr_id; + ssr_id = (use_ssr) ? 1 : -1; + int options = VAR_MAT_MESH; + + if (is_hair) { + options |= VAR_MAT_HAIR; + } + if (is_flat_normal) { + options |= VAR_MAT_FLAT; + } + if (use_blend) { + options |= VAR_MAT_BLEND; + } + if (((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_blend) { + options |= VAR_MAT_VOLUME; + } + + options |= eevee_material_shadow_option(shadow_method); + + if (e_data.default_lit[options] == NULL) { + create_default_shader(options); + } + + DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], pass); + add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, use_blend); + + return shgrp; } /** * Create a default shading group inside the default pass without standard uniforms. */ -static struct DRWShadingGroup *EEVEE_default_shading_group_get( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - Object *ob, ParticleSystem *psys, ModifierData *md, - bool is_hair, bool is_flat_normal, bool use_ssr, int shadow_method) +static struct DRWShadingGroup *EEVEE_default_shading_group_get(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + Object *ob, + ParticleSystem *psys, + ModifierData *md, + bool is_hair, + bool is_flat_normal, + bool use_ssr, + int shadow_method) { - static int ssr_id; - ssr_id = (use_ssr) ? 1 : -1; - int options = VAR_MAT_MESH; - - BLI_assert(!is_hair || (ob && psys && md)); - - if (is_hair) { - options |= VAR_MAT_HAIR; - } - if (is_flat_normal) { - options |= VAR_MAT_FLAT; - } - - options |= eevee_material_shadow_option(shadow_method); - - if (e_data.default_lit[options] == NULL) { - create_default_shader(options); - } - - if (vedata->psl->default_pass[options] == NULL) { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_WIRE; - vedata->psl->default_pass[options] = DRW_pass_create("Default Lit Pass", state); - - /* XXX / WATCH: This creates non persistent binds for the ubos and textures. - * But it's currently OK because the following shgroups does not add any bind. - * EDIT: THIS IS NOT THE CASE FOR HAIRS !!! DUMMY!!! */ - if (!is_hair) { - DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], vedata->psl->default_pass[options]); - add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); - } - } - - if (is_hair) { - DRWShadingGroup *shgrp = DRW_shgroup_hair_create(ob, psys, md, - vedata->psl->default_pass[options], - e_data.default_lit[options]); - add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); - return shgrp; - } - else { - return DRW_shgroup_create(e_data.default_lit[options], vedata->psl->default_pass[options]); - } + static int ssr_id; + ssr_id = (use_ssr) ? 1 : -1; + int options = VAR_MAT_MESH; + + BLI_assert(!is_hair || (ob && psys && md)); + + if (is_hair) { + options |= VAR_MAT_HAIR; + } + if (is_flat_normal) { + options |= VAR_MAT_FLAT; + } + + options |= eevee_material_shadow_option(shadow_method); + + if (e_data.default_lit[options] == NULL) { + create_default_shader(options); + } + + if (vedata->psl->default_pass[options] == NULL) { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE; + vedata->psl->default_pass[options] = DRW_pass_create("Default Lit Pass", state); + + /* XXX / WATCH: This creates non persistent binds for the ubos and textures. + * But it's currently OK because the following shgroups does not add any bind. + * EDIT: THIS IS NOT THE CASE FOR HAIRS !!! DUMMY!!! */ + if (!is_hair) { + DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], + vedata->psl->default_pass[options]); + add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); + } + } + + if (is_hair) { + DRWShadingGroup *shgrp = DRW_shgroup_hair_create( + ob, psys, md, vedata->psl->default_pass[options], e_data.default_lit[options]); + add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); + return shgrp; + } + else { + return DRW_shgroup_create(e_data.default_lit[options], vedata->psl->default_pass[options]); + } } /** * Create a default shading group inside the lookdev pass without standard uniforms. */ -static struct DRWShadingGroup *EEVEE_lookdev_shading_group_get( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - bool use_ssr, int shadow_method) +static struct DRWShadingGroup *EEVEE_lookdev_shading_group_get(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + bool use_ssr, + int shadow_method) { - static int ssr_id; - ssr_id = (use_ssr) ? 1 : -1; - int options = VAR_MAT_MESH | VAR_MAT_LOOKDEV; + static int ssr_id; + ssr_id = (use_ssr) ? 1 : -1; + int options = VAR_MAT_MESH | VAR_MAT_LOOKDEV; - options |= eevee_material_shadow_option(shadow_method); + options |= eevee_material_shadow_option(shadow_method); - if (e_data.default_lit[options] == NULL) { - create_default_shader(options); - } + if (e_data.default_lit[options] == NULL) { + create_default_shader(options); + } - if (vedata->psl->lookdev_pass == NULL) { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS | DRW_STATE_CULL_BACK; - vedata->psl->lookdev_pass = DRW_pass_create("LookDev Pass", state); + if (vedata->psl->lookdev_pass == NULL) { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS | + DRW_STATE_CULL_BACK; + vedata->psl->lookdev_pass = DRW_pass_create("LookDev Pass", state); - DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], vedata->psl->lookdev_pass); - /* XXX / WATCH: This creates non persistent binds for the ubos and textures. - * But it's currently OK because the following shgroups does not add any bind. */ - add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); - } + DRWShadingGroup *shgrp = DRW_shgroup_create(e_data.default_lit[options], + vedata->psl->lookdev_pass); + /* XXX / WATCH: This creates non persistent binds for the ubos and textures. + * But it's currently OK because the following shgroups does not add any bind. */ + add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, true, true, false, false, false); + } - return DRW_shgroup_create(e_data.default_lit[options], vedata->psl->lookdev_pass); + return DRW_shgroup_create(e_data.default_lit[options], vedata->psl->lookdev_pass); } void EEVEE_materials_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - - /* Create Material Ghash */ - { - stl->g_data->material_hash = BLI_ghash_ptr_new("Eevee_material ghash"); - } - - { - psl->background_pass = DRW_pass_create("Background Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); - - struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - DRWShadingGroup *grp = NULL; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - World *wo = scene->world; - - const float *col = G_draw.block.colorBackground; - - /* LookDev */ - EEVEE_lookdev_cache_init(vedata, &grp, psl->background_pass, stl->g_data->background_alpha, wo, NULL); - /* END */ - - if (!grp && wo) { - col = &wo->horr; - - if (wo->use_nodes && wo->nodetree) { - static float error_col[3] = {1.0f, 0.0f, 1.0f}; - static float compile_col[3] = {0.5f, 0.5f, 0.5f}; - struct GPUMaterial *gpumat = EEVEE_material_world_background_get(scene, wo); - - switch (GPU_material_status(gpumat)) { - case GPU_MAT_SUCCESS: - grp = DRW_shgroup_material_create(gpumat, psl->background_pass); - DRW_shgroup_uniform_float(grp, "backgroundAlpha", &stl->g_data->background_alpha, 1); - /* TODO (fclem): remove those (need to clean the GLSL files). */ - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_call_add(grp, geom, NULL); - break; - case GPU_MAT_QUEUED: - /* TODO Bypass probe compilation. */ - col = compile_col; - break; - case GPU_MAT_FAILED: - default: - col = error_col; - break; - } - } - } - - /* Fallback if shader fails or if not using nodetree. */ - if (grp == NULL) { - grp = DRW_shgroup_create(e_data.default_background, psl->background_pass); - DRW_shgroup_uniform_vec3(grp, "color", col, 1); - DRW_shgroup_uniform_float(grp, "backgroundAlpha", &stl->g_data->background_alpha, 1); - DRW_shgroup_call_add(grp, geom, NULL); - } - } - - { - DRWState state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; - psl->depth_pass = DRW_pass_create("Depth Pass", state); - stl->g_data->depth_shgrp = DRW_shgroup_create(e_data.default_prepass_sh, psl->depth_pass); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; - psl->depth_pass_cull = DRW_pass_create("Depth Pass Cull", state); - stl->g_data->depth_shgrp_cull = DRW_shgroup_create(e_data.default_prepass_sh, psl->depth_pass_cull); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_WIRE; - psl->depth_pass_clip = DRW_pass_create("Depth Pass Clip", state); - stl->g_data->depth_shgrp_clip = DRW_shgroup_create(e_data.default_prepass_clip_sh, psl->depth_pass_clip); - DRW_shgroup_uniform_block(stl->g_data->depth_shgrp_clip, "clip_block", sldata->clip_ubo); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_CULL_BACK; - psl->depth_pass_clip_cull = DRW_pass_create("Depth Pass Cull Clip", state); - stl->g_data->depth_shgrp_clip_cull = DRW_shgroup_create( - e_data.default_prepass_clip_sh, psl->depth_pass_clip_cull); - DRW_shgroup_uniform_block(stl->g_data->depth_shgrp_clip_cull, "clip_block", sldata->clip_ubo); - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_WIRE; - psl->material_pass = DRW_pass_create("Material Pass", state); - psl->material_pass_cull = DRW_pass_create("Material Pass Cull", state | DRW_STATE_CULL_BACK); - } - - { - DRWState state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; - psl->refract_depth_pass = DRW_pass_create("Refract Depth Pass", state); - stl->g_data->refract_depth_shgrp = DRW_shgroup_create(e_data.default_prepass_sh, psl->refract_depth_pass); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; - psl->refract_depth_pass_cull = DRW_pass_create("Refract Depth Pass Cull", state); - stl->g_data->refract_depth_shgrp_cull = DRW_shgroup_create( - e_data.default_prepass_sh, psl->refract_depth_pass_cull); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_WIRE; - psl->refract_depth_pass_clip = DRW_pass_create("Refract Depth Pass Clip", state); - stl->g_data->refract_depth_shgrp_clip = DRW_shgroup_create( - e_data.default_prepass_clip_sh, psl->refract_depth_pass_clip); - DRW_shgroup_uniform_block(stl->g_data->refract_depth_shgrp_clip, "clip_block", sldata->clip_ubo); - - state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_CULL_BACK; - psl->refract_depth_pass_clip_cull = DRW_pass_create("Refract Depth Pass Cull Clip", state); - stl->g_data->refract_depth_shgrp_clip_cull = DRW_shgroup_create( - e_data.default_prepass_clip_sh, psl->refract_depth_pass_clip_cull); - DRW_shgroup_uniform_block(stl->g_data->refract_depth_shgrp_clip_cull, "clip_block", sldata->clip_ubo); - } - - { - DRWState state = ( - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | - DRW_STATE_WIRE); - psl->refract_pass = DRW_pass_create("Opaque Refraction Pass", state); - } - - { - DRWState state = ( - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | - DRW_STATE_WIRE | DRW_STATE_WRITE_STENCIL); - psl->sss_pass = DRW_pass_create("Subsurface Pass", state); - psl->sss_pass_cull = DRW_pass_create("Subsurface Pass Cull", state | DRW_STATE_CULL_BACK); - e_data.sss_count = 0; - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | DRW_STATE_WIRE; - psl->transparent_pass = DRW_pass_create("Material Transparent Pass", state); - } - - { - psl->update_noise_pass = DRW_pass_create("Update Noise Pass", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.update_noise_sh, psl->update_noise_pass); - DRW_shgroup_uniform_texture(grp, "blueNoise", e_data.noise_tex); - DRW_shgroup_uniform_vec3(grp, "offsets", e_data.noise_offsets, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + + /* Create Material Ghash */ + { + stl->g_data->material_hash = BLI_ghash_ptr_new("Eevee_material ghash"); + } + + { + psl->background_pass = DRW_pass_create("Background Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); + + struct GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + DRWShadingGroup *grp = NULL; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + World *wo = scene->world; + + const float *col = G_draw.block.colorBackground; + + /* LookDev */ + EEVEE_lookdev_cache_init( + vedata, &grp, psl->background_pass, stl->g_data->background_alpha, wo, NULL); + /* END */ + + if (!grp && wo) { + col = &wo->horr; + + if (wo->use_nodes && wo->nodetree) { + static float error_col[3] = {1.0f, 0.0f, 1.0f}; + static float compile_col[3] = {0.5f, 0.5f, 0.5f}; + struct GPUMaterial *gpumat = EEVEE_material_world_background_get(scene, wo); + + switch (GPU_material_status(gpumat)) { + case GPU_MAT_SUCCESS: + grp = DRW_shgroup_material_create(gpumat, psl->background_pass); + DRW_shgroup_uniform_float(grp, "backgroundAlpha", &stl->g_data->background_alpha, 1); + /* TODO (fclem): remove those (need to clean the GLSL files). */ + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_call_add(grp, geom, NULL); + break; + case GPU_MAT_QUEUED: + /* TODO Bypass probe compilation. */ + col = compile_col; + break; + case GPU_MAT_FAILED: + default: + col = error_col; + break; + } + } + } + + /* Fallback if shader fails or if not using nodetree. */ + if (grp == NULL) { + grp = DRW_shgroup_create(e_data.default_background, psl->background_pass); + DRW_shgroup_uniform_vec3(grp, "color", col, 1); + DRW_shgroup_uniform_float(grp, "backgroundAlpha", &stl->g_data->background_alpha, 1); + DRW_shgroup_call_add(grp, geom, NULL); + } + } + + { + DRWState state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; + psl->depth_pass = DRW_pass_create("Depth Pass", state); + stl->g_data->depth_shgrp = DRW_shgroup_create(e_data.default_prepass_sh, psl->depth_pass); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; + psl->depth_pass_cull = DRW_pass_create("Depth Pass Cull", state); + stl->g_data->depth_shgrp_cull = DRW_shgroup_create(e_data.default_prepass_sh, + psl->depth_pass_cull); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE; + psl->depth_pass_clip = DRW_pass_create("Depth Pass Clip", state); + stl->g_data->depth_shgrp_clip = DRW_shgroup_create(e_data.default_prepass_clip_sh, + psl->depth_pass_clip); + DRW_shgroup_uniform_block(stl->g_data->depth_shgrp_clip, "clip_block", sldata->clip_ubo); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_CULL_BACK; + psl->depth_pass_clip_cull = DRW_pass_create("Depth Pass Cull Clip", state); + stl->g_data->depth_shgrp_clip_cull = DRW_shgroup_create(e_data.default_prepass_clip_sh, + psl->depth_pass_clip_cull); + DRW_shgroup_uniform_block(stl->g_data->depth_shgrp_clip_cull, "clip_block", sldata->clip_ubo); + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE; + psl->material_pass = DRW_pass_create("Material Pass", state); + psl->material_pass_cull = DRW_pass_create("Material Pass Cull", state | DRW_STATE_CULL_BACK); + } + + { + DRWState state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; + psl->refract_depth_pass = DRW_pass_create("Refract Depth Pass", state); + stl->g_data->refract_depth_shgrp = DRW_shgroup_create(e_data.default_prepass_sh, + psl->refract_depth_pass); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; + psl->refract_depth_pass_cull = DRW_pass_create("Refract Depth Pass Cull", state); + stl->g_data->refract_depth_shgrp_cull = DRW_shgroup_create(e_data.default_prepass_sh, + psl->refract_depth_pass_cull); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE; + psl->refract_depth_pass_clip = DRW_pass_create("Refract Depth Pass Clip", state); + stl->g_data->refract_depth_shgrp_clip = DRW_shgroup_create(e_data.default_prepass_clip_sh, + psl->refract_depth_pass_clip); + DRW_shgroup_uniform_block( + stl->g_data->refract_depth_shgrp_clip, "clip_block", sldata->clip_ubo); + + state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_CULL_BACK; + psl->refract_depth_pass_clip_cull = DRW_pass_create("Refract Depth Pass Cull Clip", state); + stl->g_data->refract_depth_shgrp_clip_cull = DRW_shgroup_create( + e_data.default_prepass_clip_sh, psl->refract_depth_pass_clip_cull); + DRW_shgroup_uniform_block( + stl->g_data->refract_depth_shgrp_clip_cull, "clip_block", sldata->clip_ubo); + } + + { + DRWState state = (DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE); + psl->refract_pass = DRW_pass_create("Opaque Refraction Pass", state); + } + + { + DRWState state = (DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE | DRW_STATE_WRITE_STENCIL); + psl->sss_pass = DRW_pass_create("Subsurface Pass", state); + psl->sss_pass_cull = DRW_pass_create("Subsurface Pass Cull", state | DRW_STATE_CULL_BACK); + e_data.sss_count = 0; + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE; + psl->transparent_pass = DRW_pass_create("Material Transparent Pass", state); + } + + { + psl->update_noise_pass = DRW_pass_create("Update Noise Pass", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.update_noise_sh, psl->update_noise_pass); + DRW_shgroup_uniform_texture(grp, "blueNoise", e_data.noise_tex); + DRW_shgroup_uniform_vec3(grp, "offsets", e_data.noise_offsets, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } } -#define ADD_SHGROUP_CALL(shgrp, ob, ma, geom, oedata) do { \ - if (is_sculpt_mode_draw) { \ - DRW_shgroup_call_sculpt_add(shgrp, ob, ob->obmat); \ - } \ - else { \ - if (oedata) { \ - DRW_shgroup_call_object_add_with_callback(shgrp, geom, ob, ma, EEVEE_lightprobes_obj_visibility_cb, oedata); \ - } \ - else { \ - DRW_shgroup_call_object_add_ex(shgrp, geom, ob, ma, false); \ - } \ - } \ -} while (0) - -#define ADD_SHGROUP_CALL_SAFE(shgrp, ob, ma, geom, oedata) do { \ - if (shgrp) { \ - ADD_SHGROUP_CALL(shgrp, ob, ma, geom, oedata); \ - } \ -} while (0) +#define ADD_SHGROUP_CALL(shgrp, ob, ma, geom, oedata) \ + do { \ + if (is_sculpt_mode_draw) { \ + DRW_shgroup_call_sculpt_add(shgrp, ob, ob->obmat); \ + } \ + else { \ + if (oedata) { \ + DRW_shgroup_call_object_add_with_callback( \ + shgrp, geom, ob, ma, EEVEE_lightprobes_obj_visibility_cb, oedata); \ + } \ + else { \ + DRW_shgroup_call_object_add_ex(shgrp, geom, ob, ma, false); \ + } \ + } \ + } while (0) + +#define ADD_SHGROUP_CALL_SAFE(shgrp, ob, ma, geom, oedata) \ + do { \ + if (shgrp) { \ + ADD_SHGROUP_CALL(shgrp, ob, ma, geom, oedata); \ + } \ + } while (0) typedef struct EeveeMaterialShadingGroups { - struct DRWShadingGroup *shading_grp; - struct DRWShadingGroup *depth_grp; - struct DRWShadingGroup *depth_clip_grp; + struct DRWShadingGroup *shading_grp; + struct DRWShadingGroup *depth_grp; + struct DRWShadingGroup *depth_clip_grp; } EeveeMaterialShadingGroups; -static void material_opaque( - Material *ma, GHash *material_hash, EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - bool do_cull, bool use_flat_nor, struct GPUMaterial **gpumat, struct GPUMaterial **gpumat_depth, - struct DRWShadingGroup **shgrp, struct DRWShadingGroup **shgrp_depth, struct DRWShadingGroup **shgrp_depth_clip) +static void material_opaque(Material *ma, + GHash *material_hash, + EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + bool do_cull, + bool use_flat_nor, + struct GPUMaterial **gpumat, + struct GPUMaterial **gpumat_depth, + struct DRWShadingGroup **shgrp, + struct DRWShadingGroup **shgrp_depth, + struct DRWShadingGroup **shgrp_depth_clip) { - EEVEE_EffectsInfo *effects = vedata->stl->effects; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - EEVEE_LightsInfo *linfo = sldata->lights; - bool use_diffuse, use_glossy, use_refract; - - float *color_p = &ma->r; - float *metal_p = &ma->metallic; - float *spec_p = &ma->spec; - float *rough_p = &ma->roughness; - - const bool use_gpumat = (ma->use_nodes && ma->nodetree); - const bool use_ssrefract = ((ma->blend_flag & MA_BL_SS_REFRACTION) != 0) && - ((effects->enabled_effects & EFFECT_REFRACT) != 0); - bool use_sss = ((effects->enabled_effects & EFFECT_SSS) != 0); - const bool use_translucency = use_sss && ((ma->blend_flag & MA_BL_TRANSLUCENCY) != 0); - - EeveeMaterialShadingGroups *emsg = BLI_ghash_lookup(material_hash, (const void *)ma); - - if (emsg) { - *shgrp = emsg->shading_grp; - *shgrp_depth = emsg->depth_grp; - *shgrp_depth_clip = emsg->depth_clip_grp; - - /* This will have been created already, just perform a lookup. */ - *gpumat = (use_gpumat) ? EEVEE_material_mesh_get( - scene, ma, vedata, false, false, use_ssrefract, use_sss, use_translucency, linfo->shadow_method) : NULL; - *gpumat_depth = (use_gpumat) ? EEVEE_material_mesh_depth_get( - scene, ma, (ma->blend_method == MA_BM_HASHED), false) : NULL; - return; - } - - if (use_gpumat) { - static float error_col[3] = {1.0f, 0.0f, 1.0f}; - static float compile_col[3] = {0.5f, 0.5f, 0.5f}; - static float half = 0.5f; - - /* Shading */ - *gpumat = EEVEE_material_mesh_get( - scene, ma, vedata, false, false, use_ssrefract, - use_sss, use_translucency, linfo->shadow_method); - - eGPUMaterialStatus status_mat_surface = GPU_material_status(*gpumat); - - /* Alpha CLipped : Discard pixel from depth pass, then - * fail the depth test for shading. */ - if (ELEM(ma->blend_method, MA_BM_CLIP, MA_BM_HASHED)) { - *gpumat_depth = EEVEE_material_mesh_depth_get(scene, ma, (ma->blend_method == MA_BM_HASHED), false); - - eGPUMaterialStatus status_mat_depth = GPU_material_status(*gpumat_depth); - if (status_mat_depth != GPU_MAT_SUCCESS) { - /* Mixing both flags. If depth shader fails, show it to the user by not using - * the surface shader. */ - status_mat_surface = status_mat_depth; - } - else if (use_ssrefract) { - *shgrp_depth = DRW_shgroup_material_create( - *gpumat_depth, (do_cull) ? psl->refract_depth_pass_cull : psl->refract_depth_pass); - *shgrp_depth_clip = DRW_shgroup_material_create( - *gpumat_depth, (do_cull) ? psl->refract_depth_pass_clip_cull : psl->refract_depth_pass_clip); - } - else { - *shgrp_depth = DRW_shgroup_material_create( - *gpumat_depth, (do_cull) ? psl->depth_pass_cull : psl->depth_pass); - *shgrp_depth_clip = DRW_shgroup_material_create( - *gpumat_depth, (do_cull) ? psl->depth_pass_clip_cull : psl->depth_pass_clip); - } - - if (*shgrp_depth != NULL) { - use_diffuse = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_DIFFUSE); - use_glossy = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_GLOSSY); - use_refract = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_REFRACT); - - add_standard_uniforms(*shgrp_depth, sldata, vedata, NULL, NULL, - use_diffuse, use_glossy, use_refract, false, false); - add_standard_uniforms(*shgrp_depth_clip, sldata, vedata, NULL, NULL, - use_diffuse, use_glossy, use_refract, false, false); - - if (ma->blend_method == MA_BM_CLIP) { - DRW_shgroup_uniform_float(*shgrp_depth, "alphaThreshold", &ma->alpha_threshold, 1); - DRW_shgroup_uniform_float(*shgrp_depth_clip, "alphaThreshold", &ma->alpha_threshold, 1); - } - else if (ma->blend_method == MA_BM_HASHED) { - DRW_shgroup_uniform_float(*shgrp_depth, "hashAlphaOffset", &e_data.alpha_hash_offset, 1); - DRW_shgroup_uniform_float(*shgrp_depth_clip, "hashAlphaOffset", &e_data.alpha_hash_offset, 1); - DRW_shgroup_uniform_float_copy(*shgrp_depth, "hashAlphaScale", e_data.alpha_hash_scale); - DRW_shgroup_uniform_float_copy(*shgrp_depth_clip, "hashAlphaScale", e_data.alpha_hash_scale); - } - } - } - - switch (status_mat_surface) { - case GPU_MAT_SUCCESS: - { - static int no_ssr = -1; - static int first_ssr = 1; - int *ssr_id = (((effects->enabled_effects & EFFECT_SSR) != 0) && !use_ssrefract) ? &first_ssr : &no_ssr; - use_diffuse = GPU_material_flag_get(*gpumat, GPU_MATFLAG_DIFFUSE); - use_glossy = GPU_material_flag_get(*gpumat, GPU_MATFLAG_GLOSSY); - use_refract = GPU_material_flag_get(*gpumat, GPU_MATFLAG_REFRACT); - use_sss = use_sss && GPU_material_flag_get(*gpumat, GPU_MATFLAG_SSS); - - *shgrp = DRW_shgroup_material_create( - *gpumat, - (use_ssrefract) ? psl->refract_pass : - (use_sss) ? ((do_cull) ? psl->sss_pass_cull : psl->sss_pass) - : ((do_cull) ? psl->material_pass_cull : psl->material_pass)); - - add_standard_uniforms(*shgrp, sldata, vedata, ssr_id, &ma->refract_depth, - use_diffuse, use_glossy, use_refract, use_ssrefract, false); - - if (use_sss) { - struct GPUTexture *sss_tex_profile = NULL; - struct GPUUniformBuffer *sss_profile = GPU_material_sss_profile_get( - *gpumat, - stl->effects->sss_sample_count, - &sss_tex_profile); - - if (sss_profile) { - if (use_translucency) { - DRW_shgroup_uniform_block(*shgrp, "sssProfile", sss_profile); - DRW_shgroup_uniform_texture(*shgrp, "sssTexProfile", sss_tex_profile); - } - - /* Limit of 8 bit stencil buffer. ID 255 is refraction. */ - if (e_data.sss_count < 254) { - DRW_shgroup_stencil_mask(*shgrp, e_data.sss_count + 1); - EEVEE_subsurface_add_pass(sldata, vedata, e_data.sss_count + 1, sss_profile); - e_data.sss_count++; - } - else { - /* TODO : display message. */ - printf("Error: Too many different Subsurface shader in the scene.\n"); - } - } - else { - if (use_translucency) { - /* NOTE: This is a nasty workaround, because the sss profile might not have been generated - * but the UBO is still declared in this case even if not used. But rendering without a - * bound UBO might result in crashes on certain platform. */ - DRW_shgroup_uniform_block(*shgrp, "sssProfile", e_data.dummy_sss_profile); - } - } - } - else { - if (use_translucency) { - DRW_shgroup_uniform_block(*shgrp, "sssProfile", e_data.dummy_sss_profile); - } - } - break; - } - case GPU_MAT_QUEUED: - { - color_p = compile_col; - metal_p = spec_p = rough_p = ½ - break; - } - case GPU_MAT_FAILED: - default: - color_p = error_col; - metal_p = spec_p = rough_p = ½ - break; - } - } - - /* Fallback to default shader */ - if (*shgrp == NULL) { - bool use_ssr = ((effects->enabled_effects & EFFECT_SSR) != 0); - *shgrp = EEVEE_default_shading_group_get(sldata, vedata, - NULL, NULL, NULL, - false, use_flat_nor, use_ssr, linfo->shadow_method); - DRW_shgroup_uniform_vec3(*shgrp, "basecol", color_p, 1); - DRW_shgroup_uniform_float(*shgrp, "metallic", metal_p, 1); - DRW_shgroup_uniform_float(*shgrp, "specular", spec_p, 1); - DRW_shgroup_uniform_float(*shgrp, "roughness", rough_p, 1); - } - - /* Fallback default depth prepass */ - if (*shgrp_depth == NULL) { - if (use_ssrefract) { - *shgrp_depth = (do_cull) ? stl->g_data->refract_depth_shgrp_cull : stl->g_data->refract_depth_shgrp; - *shgrp_depth_clip = (do_cull) ? stl->g_data->refract_depth_shgrp_clip_cull : stl->g_data->refract_depth_shgrp_clip; - } - else { - *shgrp_depth = (do_cull) ? stl->g_data->depth_shgrp_cull : stl->g_data->depth_shgrp; - *shgrp_depth_clip = (do_cull) ? stl->g_data->depth_shgrp_clip_cull : stl->g_data->depth_shgrp_clip; - } - } - - emsg = MEM_mallocN(sizeof(EeveeMaterialShadingGroups), "EeveeMaterialShadingGroups"); - emsg->shading_grp = *shgrp; - emsg->depth_grp = *shgrp_depth; - emsg->depth_clip_grp = *shgrp_depth_clip; - BLI_ghash_insert(material_hash, ma, emsg); + EEVEE_EffectsInfo *effects = vedata->stl->effects; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + EEVEE_LightsInfo *linfo = sldata->lights; + bool use_diffuse, use_glossy, use_refract; + + float *color_p = &ma->r; + float *metal_p = &ma->metallic; + float *spec_p = &ma->spec; + float *rough_p = &ma->roughness; + + const bool use_gpumat = (ma->use_nodes && ma->nodetree); + const bool use_ssrefract = ((ma->blend_flag & MA_BL_SS_REFRACTION) != 0) && + ((effects->enabled_effects & EFFECT_REFRACT) != 0); + bool use_sss = ((effects->enabled_effects & EFFECT_SSS) != 0); + const bool use_translucency = use_sss && ((ma->blend_flag & MA_BL_TRANSLUCENCY) != 0); + + EeveeMaterialShadingGroups *emsg = BLI_ghash_lookup(material_hash, (const void *)ma); + + if (emsg) { + *shgrp = emsg->shading_grp; + *shgrp_depth = emsg->depth_grp; + *shgrp_depth_clip = emsg->depth_clip_grp; + + /* This will have been created already, just perform a lookup. */ + *gpumat = (use_gpumat) ? EEVEE_material_mesh_get(scene, + ma, + vedata, + false, + false, + use_ssrefract, + use_sss, + use_translucency, + linfo->shadow_method) : + NULL; + *gpumat_depth = (use_gpumat) ? EEVEE_material_mesh_depth_get( + scene, ma, (ma->blend_method == MA_BM_HASHED), false) : + NULL; + return; + } + + if (use_gpumat) { + static float error_col[3] = {1.0f, 0.0f, 1.0f}; + static float compile_col[3] = {0.5f, 0.5f, 0.5f}; + static float half = 0.5f; + + /* Shading */ + *gpumat = EEVEE_material_mesh_get(scene, + ma, + vedata, + false, + false, + use_ssrefract, + use_sss, + use_translucency, + linfo->shadow_method); + + eGPUMaterialStatus status_mat_surface = GPU_material_status(*gpumat); + + /* Alpha CLipped : Discard pixel from depth pass, then + * fail the depth test for shading. */ + if (ELEM(ma->blend_method, MA_BM_CLIP, MA_BM_HASHED)) { + *gpumat_depth = EEVEE_material_mesh_depth_get( + scene, ma, (ma->blend_method == MA_BM_HASHED), false); + + eGPUMaterialStatus status_mat_depth = GPU_material_status(*gpumat_depth); + if (status_mat_depth != GPU_MAT_SUCCESS) { + /* Mixing both flags. If depth shader fails, show it to the user by not using + * the surface shader. */ + status_mat_surface = status_mat_depth; + } + else if (use_ssrefract) { + *shgrp_depth = DRW_shgroup_material_create( + *gpumat_depth, (do_cull) ? psl->refract_depth_pass_cull : psl->refract_depth_pass); + *shgrp_depth_clip = DRW_shgroup_material_create( + *gpumat_depth, + (do_cull) ? psl->refract_depth_pass_clip_cull : psl->refract_depth_pass_clip); + } + else { + *shgrp_depth = DRW_shgroup_material_create( + *gpumat_depth, (do_cull) ? psl->depth_pass_cull : psl->depth_pass); + *shgrp_depth_clip = DRW_shgroup_material_create( + *gpumat_depth, (do_cull) ? psl->depth_pass_clip_cull : psl->depth_pass_clip); + } + + if (*shgrp_depth != NULL) { + use_diffuse = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_DIFFUSE); + use_glossy = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_GLOSSY); + use_refract = GPU_material_flag_get(*gpumat_depth, GPU_MATFLAG_REFRACT); + + add_standard_uniforms(*shgrp_depth, + sldata, + vedata, + NULL, + NULL, + use_diffuse, + use_glossy, + use_refract, + false, + false); + add_standard_uniforms(*shgrp_depth_clip, + sldata, + vedata, + NULL, + NULL, + use_diffuse, + use_glossy, + use_refract, + false, + false); + + if (ma->blend_method == MA_BM_CLIP) { + DRW_shgroup_uniform_float(*shgrp_depth, "alphaThreshold", &ma->alpha_threshold, 1); + DRW_shgroup_uniform_float(*shgrp_depth_clip, "alphaThreshold", &ma->alpha_threshold, 1); + } + else if (ma->blend_method == MA_BM_HASHED) { + DRW_shgroup_uniform_float(*shgrp_depth, "hashAlphaOffset", &e_data.alpha_hash_offset, 1); + DRW_shgroup_uniform_float( + *shgrp_depth_clip, "hashAlphaOffset", &e_data.alpha_hash_offset, 1); + DRW_shgroup_uniform_float_copy(*shgrp_depth, "hashAlphaScale", e_data.alpha_hash_scale); + DRW_shgroup_uniform_float_copy( + *shgrp_depth_clip, "hashAlphaScale", e_data.alpha_hash_scale); + } + } + } + + switch (status_mat_surface) { + case GPU_MAT_SUCCESS: { + static int no_ssr = -1; + static int first_ssr = 1; + int *ssr_id = (((effects->enabled_effects & EFFECT_SSR) != 0) && !use_ssrefract) ? + &first_ssr : + &no_ssr; + use_diffuse = GPU_material_flag_get(*gpumat, GPU_MATFLAG_DIFFUSE); + use_glossy = GPU_material_flag_get(*gpumat, GPU_MATFLAG_GLOSSY); + use_refract = GPU_material_flag_get(*gpumat, GPU_MATFLAG_REFRACT); + use_sss = use_sss && GPU_material_flag_get(*gpumat, GPU_MATFLAG_SSS); + + *shgrp = DRW_shgroup_material_create( + *gpumat, + (use_ssrefract) ? + psl->refract_pass : + (use_sss) ? ((do_cull) ? psl->sss_pass_cull : psl->sss_pass) : + ((do_cull) ? psl->material_pass_cull : psl->material_pass)); + + add_standard_uniforms(*shgrp, + sldata, + vedata, + ssr_id, + &ma->refract_depth, + use_diffuse, + use_glossy, + use_refract, + use_ssrefract, + false); + + if (use_sss) { + struct GPUTexture *sss_tex_profile = NULL; + struct GPUUniformBuffer *sss_profile = GPU_material_sss_profile_get( + *gpumat, stl->effects->sss_sample_count, &sss_tex_profile); + + if (sss_profile) { + if (use_translucency) { + DRW_shgroup_uniform_block(*shgrp, "sssProfile", sss_profile); + DRW_shgroup_uniform_texture(*shgrp, "sssTexProfile", sss_tex_profile); + } + + /* Limit of 8 bit stencil buffer. ID 255 is refraction. */ + if (e_data.sss_count < 254) { + DRW_shgroup_stencil_mask(*shgrp, e_data.sss_count + 1); + EEVEE_subsurface_add_pass(sldata, vedata, e_data.sss_count + 1, sss_profile); + e_data.sss_count++; + } + else { + /* TODO : display message. */ + printf("Error: Too many different Subsurface shader in the scene.\n"); + } + } + else { + if (use_translucency) { + /* NOTE: This is a nasty workaround, because the sss profile might not have been generated + * but the UBO is still declared in this case even if not used. But rendering without a + * bound UBO might result in crashes on certain platform. */ + DRW_shgroup_uniform_block(*shgrp, "sssProfile", e_data.dummy_sss_profile); + } + } + } + else { + if (use_translucency) { + DRW_shgroup_uniform_block(*shgrp, "sssProfile", e_data.dummy_sss_profile); + } + } + break; + } + case GPU_MAT_QUEUED: { + color_p = compile_col; + metal_p = spec_p = rough_p = ½ + break; + } + case GPU_MAT_FAILED: + default: + color_p = error_col; + metal_p = spec_p = rough_p = ½ + break; + } + } + + /* Fallback to default shader */ + if (*shgrp == NULL) { + bool use_ssr = ((effects->enabled_effects & EFFECT_SSR) != 0); + *shgrp = EEVEE_default_shading_group_get( + sldata, vedata, NULL, NULL, NULL, false, use_flat_nor, use_ssr, linfo->shadow_method); + DRW_shgroup_uniform_vec3(*shgrp, "basecol", color_p, 1); + DRW_shgroup_uniform_float(*shgrp, "metallic", metal_p, 1); + DRW_shgroup_uniform_float(*shgrp, "specular", spec_p, 1); + DRW_shgroup_uniform_float(*shgrp, "roughness", rough_p, 1); + } + + /* Fallback default depth prepass */ + if (*shgrp_depth == NULL) { + if (use_ssrefract) { + *shgrp_depth = (do_cull) ? stl->g_data->refract_depth_shgrp_cull : + stl->g_data->refract_depth_shgrp; + *shgrp_depth_clip = (do_cull) ? stl->g_data->refract_depth_shgrp_clip_cull : + stl->g_data->refract_depth_shgrp_clip; + } + else { + *shgrp_depth = (do_cull) ? stl->g_data->depth_shgrp_cull : stl->g_data->depth_shgrp; + *shgrp_depth_clip = (do_cull) ? stl->g_data->depth_shgrp_clip_cull : + stl->g_data->depth_shgrp_clip; + } + } + + emsg = MEM_mallocN(sizeof(EeveeMaterialShadingGroups), "EeveeMaterialShadingGroups"); + emsg->shading_grp = *shgrp; + emsg->depth_grp = *shgrp_depth; + emsg->depth_clip_grp = *shgrp_depth_clip; + BLI_ghash_insert(material_hash, ma, emsg); } -static void material_transparent( - Material *ma, EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, - bool do_cull, bool use_flat_nor, - struct GPUMaterial **gpumat, struct DRWShadingGroup **shgrp, struct DRWShadingGroup **shgrp_depth) +static void material_transparent(Material *ma, + EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + bool do_cull, + bool use_flat_nor, + struct GPUMaterial **gpumat, + struct DRWShadingGroup **shgrp, + struct DRWShadingGroup **shgrp_depth) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; - EEVEE_LightsInfo *linfo = sldata->lights; - - const bool use_ssrefract = ( - ((ma->blend_flag & MA_BL_SS_REFRACTION) != 0) && - ((stl->effects->enabled_effects & EFFECT_REFRACT) != 0) - ); - float *color_p = &ma->r; - float *metal_p = &ma->metallic; - float *spec_p = &ma->spec; - float *rough_p = &ma->roughness; - - if (ma->use_nodes && ma->nodetree) { - static float error_col[3] = {1.0f, 0.0f, 1.0f}; - static float compile_col[3] = {0.5f, 0.5f, 0.5f}; - static float half = 0.5f; - - /* Shading */ - *gpumat = EEVEE_material_mesh_get( - scene, ma, vedata, true, (ma->blend_method == MA_BM_MULTIPLY), use_ssrefract, - false, false, linfo->shadow_method); - - switch (GPU_material_status(*gpumat)) { - case GPU_MAT_SUCCESS: - { - static int ssr_id = -1; /* TODO transparent SSR */ - bool use_blend = (ma->blend_method & MA_BM_BLEND) != 0; - - *shgrp = DRW_shgroup_material_create(*gpumat, psl->transparent_pass); - - bool use_diffuse = GPU_material_flag_get(*gpumat, GPU_MATFLAG_DIFFUSE); - bool use_glossy = GPU_material_flag_get(*gpumat, GPU_MATFLAG_GLOSSY); - bool use_refract = GPU_material_flag_get(*gpumat, GPU_MATFLAG_REFRACT); - - add_standard_uniforms(*shgrp, sldata, vedata, &ssr_id, &ma->refract_depth, - use_diffuse, use_glossy, use_refract, use_ssrefract, use_blend); - break; - } - case GPU_MAT_QUEUED: - { - /* TODO Bypass probe compilation. */ - color_p = compile_col; - metal_p = spec_p = rough_p = ½ - break; - } - case GPU_MAT_FAILED: - default: - color_p = error_col; - metal_p = spec_p = rough_p = ½ - break; - } - } - - /* Fallback to default shader */ - if (*shgrp == NULL) { - *shgrp = EEVEE_default_shading_group_create( - sldata, vedata, psl->transparent_pass, - false, use_flat_nor, true, false, linfo->shadow_method); - DRW_shgroup_uniform_vec3(*shgrp, "basecol", color_p, 1); - DRW_shgroup_uniform_float(*shgrp, "metallic", metal_p, 1); - DRW_shgroup_uniform_float(*shgrp, "specular", spec_p, 1); - DRW_shgroup_uniform_float(*shgrp, "roughness", rough_p, 1); - } - - const bool use_prepass = ((ma->blend_flag & MA_BL_HIDE_BACKFACE) != 0); - - DRWState all_state = ( - DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_CULL_BACK | - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_DEPTH_EQUAL | - DRW_STATE_BLEND | DRW_STATE_ADDITIVE | DRW_STATE_MULTIPLY - ); - - DRWState cur_state = DRW_STATE_WRITE_COLOR; - cur_state |= (use_prepass) ? DRW_STATE_DEPTH_EQUAL : DRW_STATE_DEPTH_LESS_EQUAL; - cur_state |= (do_cull) ? DRW_STATE_CULL_BACK : 0; - - switch (ma->blend_method) { - case MA_BM_ADD: - cur_state |= DRW_STATE_ADDITIVE; - break; - case MA_BM_MULTIPLY: - cur_state |= DRW_STATE_MULTIPLY; - break; - case MA_BM_BLEND: - cur_state |= DRW_STATE_BLEND; - break; - default: - BLI_assert(0); - break; - } - - /* Disable other blend modes and use the one we want. */ - DRW_shgroup_state_disable(*shgrp, all_state); - DRW_shgroup_state_enable(*shgrp, cur_state); - - /* Depth prepass */ - if (use_prepass) { - *shgrp_depth = DRW_shgroup_create(e_data.default_prepass_clip_sh, psl->transparent_pass); - DRW_shgroup_uniform_block(*shgrp_depth, "clip_block", sldata->clip_ubo); - - cur_state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - cur_state |= (do_cull) ? DRW_STATE_CULL_BACK : 0; - - DRW_shgroup_state_disable(*shgrp_depth, all_state); - DRW_shgroup_state_enable(*shgrp_depth, cur_state); - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + EEVEE_PassList *psl = ((EEVEE_Data *)vedata)->psl; + EEVEE_LightsInfo *linfo = sldata->lights; + + const bool use_ssrefract = (((ma->blend_flag & MA_BL_SS_REFRACTION) != 0) && + ((stl->effects->enabled_effects & EFFECT_REFRACT) != 0)); + float *color_p = &ma->r; + float *metal_p = &ma->metallic; + float *spec_p = &ma->spec; + float *rough_p = &ma->roughness; + + if (ma->use_nodes && ma->nodetree) { + static float error_col[3] = {1.0f, 0.0f, 1.0f}; + static float compile_col[3] = {0.5f, 0.5f, 0.5f}; + static float half = 0.5f; + + /* Shading */ + *gpumat = EEVEE_material_mesh_get(scene, + ma, + vedata, + true, + (ma->blend_method == MA_BM_MULTIPLY), + use_ssrefract, + false, + false, + linfo->shadow_method); + + switch (GPU_material_status(*gpumat)) { + case GPU_MAT_SUCCESS: { + static int ssr_id = -1; /* TODO transparent SSR */ + bool use_blend = (ma->blend_method & MA_BM_BLEND) != 0; + + *shgrp = DRW_shgroup_material_create(*gpumat, psl->transparent_pass); + + bool use_diffuse = GPU_material_flag_get(*gpumat, GPU_MATFLAG_DIFFUSE); + bool use_glossy = GPU_material_flag_get(*gpumat, GPU_MATFLAG_GLOSSY); + bool use_refract = GPU_material_flag_get(*gpumat, GPU_MATFLAG_REFRACT); + + add_standard_uniforms(*shgrp, + sldata, + vedata, + &ssr_id, + &ma->refract_depth, + use_diffuse, + use_glossy, + use_refract, + use_ssrefract, + use_blend); + break; + } + case GPU_MAT_QUEUED: { + /* TODO Bypass probe compilation. */ + color_p = compile_col; + metal_p = spec_p = rough_p = ½ + break; + } + case GPU_MAT_FAILED: + default: + color_p = error_col; + metal_p = spec_p = rough_p = ½ + break; + } + } + + /* Fallback to default shader */ + if (*shgrp == NULL) { + *shgrp = EEVEE_default_shading_group_create(sldata, + vedata, + psl->transparent_pass, + false, + use_flat_nor, + true, + false, + linfo->shadow_method); + DRW_shgroup_uniform_vec3(*shgrp, "basecol", color_p, 1); + DRW_shgroup_uniform_float(*shgrp, "metallic", metal_p, 1); + DRW_shgroup_uniform_float(*shgrp, "specular", spec_p, 1); + DRW_shgroup_uniform_float(*shgrp, "roughness", rough_p, 1); + } + + const bool use_prepass = ((ma->blend_flag & MA_BL_HIDE_BACKFACE) != 0); + + DRWState all_state = (DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_CULL_BACK | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND | + DRW_STATE_ADDITIVE | DRW_STATE_MULTIPLY); + + DRWState cur_state = DRW_STATE_WRITE_COLOR; + cur_state |= (use_prepass) ? DRW_STATE_DEPTH_EQUAL : DRW_STATE_DEPTH_LESS_EQUAL; + cur_state |= (do_cull) ? DRW_STATE_CULL_BACK : 0; + + switch (ma->blend_method) { + case MA_BM_ADD: + cur_state |= DRW_STATE_ADDITIVE; + break; + case MA_BM_MULTIPLY: + cur_state |= DRW_STATE_MULTIPLY; + break; + case MA_BM_BLEND: + cur_state |= DRW_STATE_BLEND; + break; + default: + BLI_assert(0); + break; + } + + /* Disable other blend modes and use the one we want. */ + DRW_shgroup_state_disable(*shgrp, all_state); + DRW_shgroup_state_enable(*shgrp, cur_state); + + /* Depth prepass */ + if (use_prepass) { + *shgrp_depth = DRW_shgroup_create(e_data.default_prepass_clip_sh, psl->transparent_pass); + DRW_shgroup_uniform_block(*shgrp_depth, "clip_block", sldata->clip_ubo); + + cur_state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + cur_state |= (do_cull) ? DRW_STATE_CULL_BACK : 0; + + DRW_shgroup_state_disable(*shgrp_depth, all_state); + DRW_shgroup_state_enable(*shgrp_depth, cur_state); + } } -void EEVEE_materials_cache_populate(EEVEE_Data *vedata, EEVEE_ViewLayerData *sldata, Object *ob, bool *cast_shadow) +void EEVEE_materials_cache_populate(EEVEE_Data *vedata, + EEVEE_ViewLayerData *sldata, + Object *ob, + bool *cast_shadow) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - GHash *material_hash = stl->g_data->material_hash; - - const bool do_cull = (draw_ctx->v3d && (draw_ctx->v3d->shading.flag & V3D_SHADING_BACKFACE_CULLING)); - const bool is_active = (ob == draw_ctx->obact); - const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; - /* For now just force fully shaded with eevee when supported. */ - const bool is_sculpt_mode_draw = - is_sculpt_mode && - ((ob->sculpt && ob->sculpt->pbvh) && (BKE_pbvh_type(ob->sculpt->pbvh) != PBVH_FACES)); - const bool is_default_mode_shader = is_sculpt_mode; - - /* First get materials for this mesh. */ - if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - const int materials_len = MAX2(1, (is_sculpt_mode_draw ? 1 : ob->totcol)); - - struct DRWShadingGroup **shgrp_array = BLI_array_alloca(shgrp_array, materials_len); - struct DRWShadingGroup **shgrp_depth_array = BLI_array_alloca(shgrp_depth_array, materials_len); - struct DRWShadingGroup **shgrp_depth_clip_array = BLI_array_alloca(shgrp_depth_clip_array, materials_len); - - struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); - struct GPUMaterial **gpumat_depth_array = BLI_array_alloca(gpumat_array, materials_len); - - bool use_flat_nor = false; - - if (is_default_mode_shader) { - if (is_sculpt_mode_draw) { - use_flat_nor = DRW_object_is_flat_normal(ob); - } - } - - for (int i = 0; i < materials_len; ++i) { - Material *ma; - - if (is_sculpt_mode_draw) { - ma = NULL; - } - else { - ma = give_current_material(ob, i + 1); - } - - gpumat_array[i] = NULL; - gpumat_depth_array[i] = NULL; - shgrp_array[i] = NULL; - shgrp_depth_array[i] = NULL; - shgrp_depth_clip_array[i] = NULL; - - if (ma == NULL) { - ma = &defmaterial; - } - - switch (ma->blend_method) { - case MA_BM_SOLID: - case MA_BM_CLIP: - case MA_BM_HASHED: - material_opaque(ma, material_hash, sldata, vedata, do_cull, use_flat_nor, - &gpumat_array[i], &gpumat_depth_array[i], - &shgrp_array[i], &shgrp_depth_array[i], &shgrp_depth_clip_array[i]); - break; - case MA_BM_ADD: - case MA_BM_MULTIPLY: - case MA_BM_BLEND: - material_transparent(ma, sldata, vedata, do_cull, use_flat_nor, - &gpumat_array[i], &shgrp_array[i], &shgrp_depth_array[i]); - break; - default: - BLI_assert(0); - break; - } - } - - if (is_sculpt_mode && is_sculpt_mode_draw == false) { - DRW_cache_mesh_sculpt_coords_ensure(ob); - } - - /* Only support single volume material for now. */ - /* XXX We rely on the previously compiled surface shader - * to know if the material has a "volume nodetree". - */ - bool use_volume_material = (gpumat_array[0] && GPU_material_use_domain_volume(gpumat_array[0])); - - if ((ob->dt >= OB_SOLID) || DRW_state_is_image_render()) { - /* Get per-material split surface */ - char *auto_layer_names; - int *auto_layer_is_srgb; - int auto_layer_count; - struct GPUBatch **mat_geom = NULL; - - if (!is_sculpt_mode_draw) { - mat_geom = DRW_cache_object_surface_material_get( - ob, gpumat_array, materials_len, - &auto_layer_names, - &auto_layer_is_srgb, - &auto_layer_count); - } - - if (is_sculpt_mode_draw || mat_geom) { - for (int i = 0; i < materials_len; ++i) { - if (!is_sculpt_mode_draw && mat_geom[i] == NULL) { - continue; - } - EEVEE_ObjectEngineData *oedata = NULL; - Material *ma = give_current_material(ob, i + 1); - - if (ma == NULL) { - ma = &defmaterial; - } - - /* Do not render surface if we are rendering a volume object - * and do not have a surface closure. */ - if (use_volume_material && - (gpumat_array[i] && !GPU_material_use_domain_surface(gpumat_array[i]))) - { - continue; - } - - /* XXX TODO rewrite this to include the dupli objects. - * This means we cannot exclude dupli objects from reflections!!! */ - if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { - oedata = EEVEE_object_data_ensure(ob); - oedata->ob = ob; - oedata->test_data = &sldata->probes->vis_data; - } - - /* Shading pass */ - ADD_SHGROUP_CALL(shgrp_array[i], ob, ma, mat_geom[i], oedata); - - /* Depth Prepass */ - ADD_SHGROUP_CALL_SAFE(shgrp_depth_array[i], ob, ma, mat_geom[i], oedata); - ADD_SHGROUP_CALL_SAFE(shgrp_depth_clip_array[i], ob, ma, mat_geom[i], oedata); - - /* TODO(fclem): Don't support shadows in sculpt mode. */ - if (is_sculpt_mode_draw) { - break; - } - - char *name = auto_layer_names; - for (int j = 0; j < auto_layer_count; ++j) { - /* TODO don't add these uniform when not needed (default pass shaders). */ - if (shgrp_array[i]) { - DRW_shgroup_uniform_bool(shgrp_array[i], name, &auto_layer_is_srgb[j], 1); - } - if (shgrp_depth_array[i]) { - DRW_shgroup_uniform_bool(shgrp_depth_array[i], name, &auto_layer_is_srgb[j], 1); - } - if (shgrp_depth_clip_array[i]) { - DRW_shgroup_uniform_bool(shgrp_depth_clip_array[i], name, &auto_layer_is_srgb[j], 1); - } - /* Go to next layer name. */ - while (*name != '\0') { name++; } - name += 1; - } - - /* Shadow Pass */ - struct GPUMaterial *gpumat; - switch (ma->blend_shadow) { - case MA_BS_SOLID: - EEVEE_lights_cache_shcaster_add( - sldata, stl, mat_geom[i], ob); - *cast_shadow = true; - break; - case MA_BS_CLIP: - gpumat = EEVEE_material_mesh_depth_get(scene, ma, false, true); - EEVEE_lights_cache_shcaster_material_add( - sldata, psl, gpumat, mat_geom[i], ob, &ma->alpha_threshold); - *cast_shadow = true; - break; - case MA_BS_HASHED: - gpumat = EEVEE_material_mesh_depth_get(scene, ma, true, true); - EEVEE_lights_cache_shcaster_material_add( - sldata, psl, gpumat, mat_geom[i], ob, NULL); - *cast_shadow = true; - break; - case MA_BS_NONE: - default: - break; - } - } - } - } - - /* Volumetrics */ - if (((stl->effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_volume_material) { - EEVEE_volumes_cache_object_add(sldata, vedata, scene, ob); - } - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + GHash *material_hash = stl->g_data->material_hash; + + const bool do_cull = (draw_ctx->v3d && + (draw_ctx->v3d->shading.flag & V3D_SHADING_BACKFACE_CULLING)); + const bool is_active = (ob == draw_ctx->obact); + const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; + /* For now just force fully shaded with eevee when supported. */ + const bool is_sculpt_mode_draw = is_sculpt_mode && + ((ob->sculpt && ob->sculpt->pbvh) && + (BKE_pbvh_type(ob->sculpt->pbvh) != PBVH_FACES)); + const bool is_default_mode_shader = is_sculpt_mode; + + /* First get materials for this mesh. */ + if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + const int materials_len = MAX2(1, (is_sculpt_mode_draw ? 1 : ob->totcol)); + + struct DRWShadingGroup **shgrp_array = BLI_array_alloca(shgrp_array, materials_len); + struct DRWShadingGroup **shgrp_depth_array = BLI_array_alloca(shgrp_depth_array, + materials_len); + struct DRWShadingGroup **shgrp_depth_clip_array = BLI_array_alloca(shgrp_depth_clip_array, + materials_len); + + struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); + struct GPUMaterial **gpumat_depth_array = BLI_array_alloca(gpumat_array, materials_len); + + bool use_flat_nor = false; + + if (is_default_mode_shader) { + if (is_sculpt_mode_draw) { + use_flat_nor = DRW_object_is_flat_normal(ob); + } + } + + for (int i = 0; i < materials_len; ++i) { + Material *ma; + + if (is_sculpt_mode_draw) { + ma = NULL; + } + else { + ma = give_current_material(ob, i + 1); + } + + gpumat_array[i] = NULL; + gpumat_depth_array[i] = NULL; + shgrp_array[i] = NULL; + shgrp_depth_array[i] = NULL; + shgrp_depth_clip_array[i] = NULL; + + if (ma == NULL) { + ma = &defmaterial; + } + + switch (ma->blend_method) { + case MA_BM_SOLID: + case MA_BM_CLIP: + case MA_BM_HASHED: + material_opaque(ma, + material_hash, + sldata, + vedata, + do_cull, + use_flat_nor, + &gpumat_array[i], + &gpumat_depth_array[i], + &shgrp_array[i], + &shgrp_depth_array[i], + &shgrp_depth_clip_array[i]); + break; + case MA_BM_ADD: + case MA_BM_MULTIPLY: + case MA_BM_BLEND: + material_transparent(ma, + sldata, + vedata, + do_cull, + use_flat_nor, + &gpumat_array[i], + &shgrp_array[i], + &shgrp_depth_array[i]); + break; + default: + BLI_assert(0); + break; + } + } + + if (is_sculpt_mode && is_sculpt_mode_draw == false) { + DRW_cache_mesh_sculpt_coords_ensure(ob); + } + + /* Only support single volume material for now. */ + /* XXX We rely on the previously compiled surface shader + * to know if the material has a "volume nodetree". + */ + bool use_volume_material = (gpumat_array[0] && + GPU_material_use_domain_volume(gpumat_array[0])); + + if ((ob->dt >= OB_SOLID) || DRW_state_is_image_render()) { + /* Get per-material split surface */ + char *auto_layer_names; + int *auto_layer_is_srgb; + int auto_layer_count; + struct GPUBatch **mat_geom = NULL; + + if (!is_sculpt_mode_draw) { + mat_geom = DRW_cache_object_surface_material_get(ob, + gpumat_array, + materials_len, + &auto_layer_names, + &auto_layer_is_srgb, + &auto_layer_count); + } + + if (is_sculpt_mode_draw || mat_geom) { + for (int i = 0; i < materials_len; ++i) { + if (!is_sculpt_mode_draw && mat_geom[i] == NULL) { + continue; + } + EEVEE_ObjectEngineData *oedata = NULL; + Material *ma = give_current_material(ob, i + 1); + + if (ma == NULL) { + ma = &defmaterial; + } + + /* Do not render surface if we are rendering a volume object + * and do not have a surface closure. */ + if (use_volume_material && + (gpumat_array[i] && !GPU_material_use_domain_surface(gpumat_array[i]))) { + continue; + } + + /* XXX TODO rewrite this to include the dupli objects. + * This means we cannot exclude dupli objects from reflections!!! */ + if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { + oedata = EEVEE_object_data_ensure(ob); + oedata->ob = ob; + oedata->test_data = &sldata->probes->vis_data; + } + + /* Shading pass */ + ADD_SHGROUP_CALL(shgrp_array[i], ob, ma, mat_geom[i], oedata); + + /* Depth Prepass */ + ADD_SHGROUP_CALL_SAFE(shgrp_depth_array[i], ob, ma, mat_geom[i], oedata); + ADD_SHGROUP_CALL_SAFE(shgrp_depth_clip_array[i], ob, ma, mat_geom[i], oedata); + + /* TODO(fclem): Don't support shadows in sculpt mode. */ + if (is_sculpt_mode_draw) { + break; + } + + char *name = auto_layer_names; + for (int j = 0; j < auto_layer_count; ++j) { + /* TODO don't add these uniform when not needed (default pass shaders). */ + if (shgrp_array[i]) { + DRW_shgroup_uniform_bool(shgrp_array[i], name, &auto_layer_is_srgb[j], 1); + } + if (shgrp_depth_array[i]) { + DRW_shgroup_uniform_bool(shgrp_depth_array[i], name, &auto_layer_is_srgb[j], 1); + } + if (shgrp_depth_clip_array[i]) { + DRW_shgroup_uniform_bool(shgrp_depth_clip_array[i], name, &auto_layer_is_srgb[j], 1); + } + /* Go to next layer name. */ + while (*name != '\0') { + name++; + } + name += 1; + } + + /* Shadow Pass */ + struct GPUMaterial *gpumat; + switch (ma->blend_shadow) { + case MA_BS_SOLID: + EEVEE_lights_cache_shcaster_add(sldata, stl, mat_geom[i], ob); + *cast_shadow = true; + break; + case MA_BS_CLIP: + gpumat = EEVEE_material_mesh_depth_get(scene, ma, false, true); + EEVEE_lights_cache_shcaster_material_add( + sldata, psl, gpumat, mat_geom[i], ob, &ma->alpha_threshold); + *cast_shadow = true; + break; + case MA_BS_HASHED: + gpumat = EEVEE_material_mesh_depth_get(scene, ma, true, true); + EEVEE_lights_cache_shcaster_material_add(sldata, psl, gpumat, mat_geom[i], ob, NULL); + *cast_shadow = true; + break; + case MA_BS_NONE: + default: + break; + } + } + } + } + + /* Volumetrics */ + if (((stl->effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) && use_volume_material) { + EEVEE_volumes_cache_object_add(sldata, vedata, scene, ob); + } + } } -void EEVEE_hair_cache_populate(EEVEE_Data *vedata, EEVEE_ViewLayerData *sldata, Object *ob, bool *cast_shadow) +void EEVEE_hair_cache_populate(EEVEE_Data *vedata, + EEVEE_ViewLayerData *sldata, + Object *ob, + bool *cast_shadow) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - - bool use_ssr = ((stl->effects->enabled_effects & EFFECT_SSR) != 0); - - if (ob->type == OB_MESH) { - if (ob != draw_ctx->object_edit) { - for (ModifierData *md = ob->modifiers.first; md; md = md->next) { - if (md->type != eModifierType_ParticleSystem) { - continue; - } - ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; - if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { - continue; - } - ParticleSettings *part = psys->part; - const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; - if (draw_as != PART_DRAW_PATH) { - continue; - } - - DRWShadingGroup *shgrp = NULL; - Material *ma = give_current_material(ob, part->omat); - - if (ma == NULL) { - ma = &defmaterial; - } - - float *color_p = &ma->r; - float *metal_p = &ma->metallic; - float *spec_p = &ma->spec; - float *rough_p = &ma->roughness; - - shgrp = DRW_shgroup_hair_create( - ob, psys, md, - psl->depth_pass, - e_data.default_hair_prepass_sh); - - shgrp = DRW_shgroup_hair_create( - ob, psys, md, - psl->depth_pass_clip, - e_data.default_hair_prepass_clip_sh); - DRW_shgroup_uniform_block(shgrp, "clip_block", sldata->clip_ubo); - - shgrp = NULL; - if (ma->use_nodes && ma->nodetree) { - static int ssr_id; - ssr_id = (use_ssr) ? 1 : -1; - static float half = 0.5f; - static float error_col[3] = {1.0f, 0.0f, 1.0f}; - static float compile_col[3] = {0.5f, 0.5f, 0.5f}; - struct GPUMaterial *gpumat = EEVEE_material_hair_get(scene, ma, sldata->lights->shadow_method); - - switch (GPU_material_status(gpumat)) { - case GPU_MAT_SUCCESS: - { - bool use_diffuse = GPU_material_flag_get(gpumat, GPU_MATFLAG_DIFFUSE); - bool use_glossy = GPU_material_flag_get(gpumat, GPU_MATFLAG_GLOSSY); - bool use_refract = GPU_material_flag_get(gpumat, GPU_MATFLAG_REFRACT); - - shgrp = DRW_shgroup_material_hair_create( - ob, psys, md, - psl->material_pass, - gpumat); - - add_standard_uniforms(shgrp, sldata, vedata, &ssr_id, NULL, - use_diffuse, use_glossy, use_refract, false, false); - break; - } - case GPU_MAT_QUEUED: - { - color_p = compile_col; - metal_p = spec_p = rough_p = ½ - break; - } - case GPU_MAT_FAILED: - default: - color_p = error_col; - metal_p = spec_p = rough_p = ½ - break; - } - } - - /* Fallback to default shader */ - if (shgrp == NULL) { - shgrp = EEVEE_default_shading_group_get(sldata, vedata, - ob, psys, md, - true, false, use_ssr, - sldata->lights->shadow_method); - DRW_shgroup_uniform_vec3(shgrp, "basecol", color_p, 1); - DRW_shgroup_uniform_float(shgrp, "metallic", metal_p, 1); - DRW_shgroup_uniform_float(shgrp, "specular", spec_p, 1); - DRW_shgroup_uniform_float(shgrp, "roughness", rough_p, 1); - } - - /* Shadows */ - DRW_shgroup_hair_create( - ob, psys, md, - psl->shadow_pass, - e_data.default_hair_prepass_sh); - *cast_shadow = true; - } - } - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + + bool use_ssr = ((stl->effects->enabled_effects & EFFECT_SSR) != 0); + + if (ob->type == OB_MESH) { + if (ob != draw_ctx->object_edit) { + for (ModifierData *md = ob->modifiers.first; md; md = md->next) { + if (md->type != eModifierType_ParticleSystem) { + continue; + } + ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; + if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { + continue; + } + ParticleSettings *part = psys->part; + const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; + if (draw_as != PART_DRAW_PATH) { + continue; + } + + DRWShadingGroup *shgrp = NULL; + Material *ma = give_current_material(ob, part->omat); + + if (ma == NULL) { + ma = &defmaterial; + } + + float *color_p = &ma->r; + float *metal_p = &ma->metallic; + float *spec_p = &ma->spec; + float *rough_p = &ma->roughness; + + shgrp = DRW_shgroup_hair_create( + ob, psys, md, psl->depth_pass, e_data.default_hair_prepass_sh); + + shgrp = DRW_shgroup_hair_create( + ob, psys, md, psl->depth_pass_clip, e_data.default_hair_prepass_clip_sh); + DRW_shgroup_uniform_block(shgrp, "clip_block", sldata->clip_ubo); + + shgrp = NULL; + if (ma->use_nodes && ma->nodetree) { + static int ssr_id; + ssr_id = (use_ssr) ? 1 : -1; + static float half = 0.5f; + static float error_col[3] = {1.0f, 0.0f, 1.0f}; + static float compile_col[3] = {0.5f, 0.5f, 0.5f}; + struct GPUMaterial *gpumat = EEVEE_material_hair_get( + scene, ma, sldata->lights->shadow_method); + + switch (GPU_material_status(gpumat)) { + case GPU_MAT_SUCCESS: { + bool use_diffuse = GPU_material_flag_get(gpumat, GPU_MATFLAG_DIFFUSE); + bool use_glossy = GPU_material_flag_get(gpumat, GPU_MATFLAG_GLOSSY); + bool use_refract = GPU_material_flag_get(gpumat, GPU_MATFLAG_REFRACT); + + shgrp = DRW_shgroup_material_hair_create(ob, psys, md, psl->material_pass, gpumat); + + add_standard_uniforms(shgrp, + sldata, + vedata, + &ssr_id, + NULL, + use_diffuse, + use_glossy, + use_refract, + false, + false); + break; + } + case GPU_MAT_QUEUED: { + color_p = compile_col; + metal_p = spec_p = rough_p = ½ + break; + } + case GPU_MAT_FAILED: + default: + color_p = error_col; + metal_p = spec_p = rough_p = ½ + break; + } + } + + /* Fallback to default shader */ + if (shgrp == NULL) { + shgrp = EEVEE_default_shading_group_get( + sldata, vedata, ob, psys, md, true, false, use_ssr, sldata->lights->shadow_method); + DRW_shgroup_uniform_vec3(shgrp, "basecol", color_p, 1); + DRW_shgroup_uniform_float(shgrp, "metallic", metal_p, 1); + DRW_shgroup_uniform_float(shgrp, "specular", spec_p, 1); + DRW_shgroup_uniform_float(shgrp, "roughness", rough_p, 1); + } + + /* Shadows */ + DRW_shgroup_hair_create(ob, psys, md, psl->shadow_pass, e_data.default_hair_prepass_sh); + *cast_shadow = true; + } + } + } } void EEVEE_materials_cache_finish(EEVEE_Data *vedata) { - EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; - - /* Look-Dev */ - const DRWContextState *draw_ctx = DRW_context_state_get(); - const View3D *v3d = draw_ctx->v3d; - if (LOOK_DEV_OVERLAY_ENABLED(v3d)) { - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_LightsInfo *linfo = sldata->lights; - struct GPUBatch *sphere = DRW_cache_sphere_get(); - static float mat1[4][4]; - static float color[3] = {0.8f, 0.8f, 0.8f}; - static float metallic_on = 1.0f; - static float metallic_off = 0.00f; - static float specular_off = 0.5f; - static float specular_on = 1.0f; - static float roughness_off = 0.05f; - static float roughness_on = 1.00f; - - float view_mat[4][4]; - DRW_viewport_matrix_get(view_mat, DRW_MAT_VIEWINV); - - DRWShadingGroup *shgrp = EEVEE_lookdev_shading_group_get(sldata, vedata, false, linfo->shadow_method); - DRW_shgroup_uniform_vec3(shgrp, "basecol", color, 1); - DRW_shgroup_uniform_float(shgrp, "metallic", &metallic_on, 1); - DRW_shgroup_uniform_float(shgrp, "specular", &specular_on, 1); - DRW_shgroup_uniform_float(shgrp, "roughness", &roughness_off, 1); - unit_m4(mat1); - mul_m4_m4m4(mat1, mat1, view_mat); - translate_m4(mat1, -1.5f, 0.0f, -5.0f); - DRW_shgroup_call_add(shgrp, sphere, mat1); - - shgrp = EEVEE_lookdev_shading_group_get(sldata, vedata, false, linfo->shadow_method); - DRW_shgroup_uniform_vec3(shgrp, "basecol", color, 1); - DRW_shgroup_uniform_float(shgrp, "metallic", &metallic_off, 1); - DRW_shgroup_uniform_float(shgrp, "specular", &specular_off, 1); - DRW_shgroup_uniform_float(shgrp, "roughness", &roughness_on, 1); - translate_m4(mat1, 3.0f, 0.0f, 0.0f); - DRW_shgroup_call_add(shgrp, sphere, mat1); - } - /* END */ - - BLI_ghash_free(stl->g_data->material_hash, NULL, MEM_freeN); + EEVEE_StorageList *stl = ((EEVEE_Data *)vedata)->stl; + + /* Look-Dev */ + const DRWContextState *draw_ctx = DRW_context_state_get(); + const View3D *v3d = draw_ctx->v3d; + if (LOOK_DEV_OVERLAY_ENABLED(v3d)) { + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_LightsInfo *linfo = sldata->lights; + struct GPUBatch *sphere = DRW_cache_sphere_get(); + static float mat1[4][4]; + static float color[3] = {0.8f, 0.8f, 0.8f}; + static float metallic_on = 1.0f; + static float metallic_off = 0.00f; + static float specular_off = 0.5f; + static float specular_on = 1.0f; + static float roughness_off = 0.05f; + static float roughness_on = 1.00f; + + float view_mat[4][4]; + DRW_viewport_matrix_get(view_mat, DRW_MAT_VIEWINV); + + DRWShadingGroup *shgrp = EEVEE_lookdev_shading_group_get( + sldata, vedata, false, linfo->shadow_method); + DRW_shgroup_uniform_vec3(shgrp, "basecol", color, 1); + DRW_shgroup_uniform_float(shgrp, "metallic", &metallic_on, 1); + DRW_shgroup_uniform_float(shgrp, "specular", &specular_on, 1); + DRW_shgroup_uniform_float(shgrp, "roughness", &roughness_off, 1); + unit_m4(mat1); + mul_m4_m4m4(mat1, mat1, view_mat); + translate_m4(mat1, -1.5f, 0.0f, -5.0f); + DRW_shgroup_call_add(shgrp, sphere, mat1); + + shgrp = EEVEE_lookdev_shading_group_get(sldata, vedata, false, linfo->shadow_method); + DRW_shgroup_uniform_vec3(shgrp, "basecol", color, 1); + DRW_shgroup_uniform_float(shgrp, "metallic", &metallic_off, 1); + DRW_shgroup_uniform_float(shgrp, "specular", &specular_off, 1); + DRW_shgroup_uniform_float(shgrp, "roughness", &roughness_on, 1); + translate_m4(mat1, 3.0f, 0.0f, 0.0f); + DRW_shgroup_call_add(shgrp, sphere, mat1); + } + /* END */ + + BLI_ghash_free(stl->g_data->material_hash, NULL, MEM_freeN); } void EEVEE_materials_free(void) { - for (int i = 0; i < VAR_MAT_MAX; ++i) { - DRW_SHADER_FREE_SAFE(e_data.default_lit[i]); - } - MEM_SAFE_FREE(e_data.frag_shader_lib); - MEM_SAFE_FREE(e_data.vert_shader_str); - MEM_SAFE_FREE(e_data.volume_shader_lib); - DRW_SHADER_FREE_SAFE(e_data.default_hair_prepass_sh); - DRW_SHADER_FREE_SAFE(e_data.default_hair_prepass_clip_sh); - DRW_SHADER_FREE_SAFE(e_data.default_prepass_sh); - DRW_SHADER_FREE_SAFE(e_data.default_prepass_clip_sh); - DRW_SHADER_FREE_SAFE(e_data.default_background); - DRW_SHADER_FREE_SAFE(e_data.update_noise_sh); - DRW_TEXTURE_FREE_SAFE(e_data.util_tex); - DRW_TEXTURE_FREE_SAFE(e_data.noise_tex); - DRW_UBO_FREE_SAFE(e_data.dummy_sss_profile); + for (int i = 0; i < VAR_MAT_MAX; ++i) { + DRW_SHADER_FREE_SAFE(e_data.default_lit[i]); + } + MEM_SAFE_FREE(e_data.frag_shader_lib); + MEM_SAFE_FREE(e_data.vert_shader_str); + MEM_SAFE_FREE(e_data.volume_shader_lib); + DRW_SHADER_FREE_SAFE(e_data.default_hair_prepass_sh); + DRW_SHADER_FREE_SAFE(e_data.default_hair_prepass_clip_sh); + DRW_SHADER_FREE_SAFE(e_data.default_prepass_sh); + DRW_SHADER_FREE_SAFE(e_data.default_prepass_clip_sh); + DRW_SHADER_FREE_SAFE(e_data.default_background); + DRW_SHADER_FREE_SAFE(e_data.update_noise_sh); + DRW_TEXTURE_FREE_SAFE(e_data.util_tex); + DRW_TEXTURE_FREE_SAFE(e_data.noise_tex); + DRW_UBO_FREE_SAFE(e_data.dummy_sss_profile); } void EEVEE_draw_default_passes(EEVEE_PassList *psl) { - for (int i = 0; i < VAR_MAT_MAX; ++i) { - if (psl->default_pass[i]) { - DRW_draw_pass(psl->default_pass[i]); - } - } + for (int i = 0; i < VAR_MAT_MAX; ++i) { + if (psl->default_pass[i]) { + DRW_draw_pass(psl->default_pass[i]); + } + } } diff --git a/source/blender/draw/engines/eevee/eevee_mist.c b/source/blender/draw/engines/eevee/eevee_mist.c index 9a75ba91fa5..1ea1e086aea 100644 --- a/source/blender/draw/engines/eevee/eevee_mist.c +++ b/source/blender/draw/engines/eevee/eevee_mist.c @@ -38,99 +38,97 @@ extern char datatoc_bsdf_common_lib_glsl[]; extern char datatoc_effect_mist_frag_glsl[]; static struct { - struct GPUShader *mist_sh; + struct GPUShader *mist_sh; } e_data = {NULL}; /* Engine data */ void EEVEE_mist_output_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EEVEE_FramebufferList *fbl = vedata->fbl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PassList *psl = vedata->psl; - EEVEE_PrivateData *g_data = stl->g_data; - Scene *scene = draw_ctx->scene; - - float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - if (e_data.mist_sh == NULL) { - char *frag_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_effect_mist_frag_glsl); - - e_data.mist_sh = DRW_shader_create_fullscreen(frag_str, "#define FIRST_PASS\n"); - - MEM_freeN(frag_str); - } - - /* Create FrameBuffer. */ - DRW_texture_ensure_fullscreen_2d(&txl->mist_accum, GPU_R32F, 0); /* Should be enough precision for many samples. */ - - GPU_framebuffer_ensure_config(&fbl->mist_accum_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->mist_accum) - }); - - /* Clear texture. */ - GPU_framebuffer_bind(fbl->mist_accum_fb); - GPU_framebuffer_clear_color(fbl->mist_accum_fb, clear); - - /* Mist settings. */ - if (scene && scene->world) { - g_data->mist_start = scene->world->miststa; - g_data->mist_inv_dist = (scene->world->mistdist > 0.0f) ? 1.0f / scene->world->mistdist : 0.0f; - - switch (scene->world->mistype) { - case WO_MIST_QUADRATIC: - g_data->mist_falloff = 2.0f; - break; - case WO_MIST_LINEAR: - g_data->mist_falloff = 1.0f; - break; - case WO_MIST_INVERSE_QUADRATIC: - g_data->mist_falloff = 0.5f; - break; - } - } - else { - float near = -sldata->common_data.view_vecs[0][2]; - float range = sldata->common_data.view_vecs[1][2]; - /* Fallback */ - g_data->mist_start = near; - g_data->mist_inv_dist = 1.0f / fabsf(range); - g_data->mist_falloff = 1.0f; - } - - /* XXX ??!! WHY? If not it does not match cycles. */ - g_data->mist_falloff *= 0.5f; - - /* Create Pass and shgroup. */ - psl->mist_accum_ps = DRW_pass_create("Mist Accum", DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.mist_sh, psl->mist_accum_ps); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_vec3(grp, "mistSettings", &g_data->mist_start, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + const DRWContextState *draw_ctx = DRW_context_state_get(); + EEVEE_FramebufferList *fbl = vedata->fbl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PassList *psl = vedata->psl; + EEVEE_PrivateData *g_data = stl->g_data; + Scene *scene = draw_ctx->scene; + + float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + if (e_data.mist_sh == NULL) { + char *frag_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_effect_mist_frag_glsl); + + e_data.mist_sh = DRW_shader_create_fullscreen(frag_str, "#define FIRST_PASS\n"); + + MEM_freeN(frag_str); + } + + /* Create FrameBuffer. */ + DRW_texture_ensure_fullscreen_2d( + &txl->mist_accum, GPU_R32F, 0); /* Should be enough precision for many samples. */ + + GPU_framebuffer_ensure_config(&fbl->mist_accum_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->mist_accum)}); + + /* Clear texture. */ + GPU_framebuffer_bind(fbl->mist_accum_fb); + GPU_framebuffer_clear_color(fbl->mist_accum_fb, clear); + + /* Mist settings. */ + if (scene && scene->world) { + g_data->mist_start = scene->world->miststa; + g_data->mist_inv_dist = (scene->world->mistdist > 0.0f) ? 1.0f / scene->world->mistdist : 0.0f; + + switch (scene->world->mistype) { + case WO_MIST_QUADRATIC: + g_data->mist_falloff = 2.0f; + break; + case WO_MIST_LINEAR: + g_data->mist_falloff = 1.0f; + break; + case WO_MIST_INVERSE_QUADRATIC: + g_data->mist_falloff = 0.5f; + break; + } + } + else { + float near = -sldata->common_data.view_vecs[0][2]; + float range = sldata->common_data.view_vecs[1][2]; + /* Fallback */ + g_data->mist_start = near; + g_data->mist_inv_dist = 1.0f / fabsf(range); + g_data->mist_falloff = 1.0f; + } + + /* XXX ??!! WHY? If not it does not match cycles. */ + g_data->mist_falloff *= 0.5f; + + /* Create Pass and shgroup. */ + psl->mist_accum_ps = DRW_pass_create("Mist Accum", DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.mist_sh, psl->mist_accum_ps); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_vec3(grp, "mistSettings", &g_data->mist_start, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); } void EEVEE_mist_output_accumulate(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_PassList *psl = vedata->psl; - if (fbl->mist_accum_fb != NULL) { - GPU_framebuffer_bind(fbl->mist_accum_fb); - DRW_draw_pass(psl->mist_accum_ps); + if (fbl->mist_accum_fb != NULL) { + GPU_framebuffer_bind(fbl->mist_accum_fb); + DRW_draw_pass(psl->mist_accum_ps); - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - } + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + } } void EEVEE_mist_free(void) { - DRW_SHADER_FREE_SAFE(e_data.mist_sh); + DRW_SHADER_FREE_SAFE(e_data.mist_sh); } diff --git a/source/blender/draw/engines/eevee/eevee_motion_blur.c b/source/blender/draw/engines/eevee/eevee_motion_blur.c index bc3e4b35936..f2863d572c4 100644 --- a/source/blender/draw/engines/eevee/eevee_motion_blur.c +++ b/source/blender/draw/engines/eevee/eevee_motion_blur.c @@ -41,199 +41,193 @@ #include "GPU_texture.h" static struct { - /* Motion Blur */ - struct GPUShader *motion_blur_sh; + /* Motion Blur */ + struct GPUShader *motion_blur_sh; } e_data = {NULL}; /* Engine data */ extern char datatoc_effect_motion_blur_frag_glsl[]; -static void eevee_motion_blur_camera_get_matrix_at_time( - Scene *scene, - ARegion *ar, RegionView3D *rv3d, View3D *v3d, - Object *camera, - float time, - float r_mat[4][4]) +static void eevee_motion_blur_camera_get_matrix_at_time(Scene *scene, + ARegion *ar, + RegionView3D *rv3d, + View3D *v3d, + Object *camera, + float time, + float r_mat[4][4]) { - float obmat[4][4]; - - /* HACK */ - Object cam_cpy = *camera; - Camera camdata_cpy = *(Camera *)(camera->data); - cam_cpy.data = &camdata_cpy; - - /* Reset original pointers, so direct evaluation does not attempt to flush - * animation back to the original object: otherwise viewport with motion - * blur enabled will always loose non-keyed changes. */ - cam_cpy.id.orig_id = NULL; - camdata_cpy.id.orig_id = NULL; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - - /* Past matrix */ - /* FIXME : This is a temporal solution that does not take care of parent animations */ - /* Recalc Anim manually */ - BKE_animsys_evaluate_animdata(draw_ctx->depsgraph, scene, &camdata_cpy.id, camdata_cpy.adt, time, ADT_RECALC_ALL); - BKE_object_where_is_calc_time(draw_ctx->depsgraph, scene, &cam_cpy, time); - - /* Compute winmat */ - CameraParams params; - BKE_camera_params_init(¶ms); - - if (v3d != NULL) { - BKE_camera_params_from_view3d(¶ms, draw_ctx->depsgraph, v3d, rv3d); - BKE_camera_params_compute_viewplane(¶ms, ar->winx, ar->winy, 1.0f, 1.0f); - } - else { - BKE_camera_params_from_object(¶ms, &cam_cpy); - BKE_camera_params_compute_viewplane(¶ms, scene->r.xsch, scene->r.ysch, scene->r.xasp, scene->r.yasp); - } - - BKE_camera_params_compute_matrix(¶ms); - - /* FIXME Should be done per view (MULTIVIEW) */ - normalize_m4_m4(obmat, cam_cpy.obmat); - invert_m4(obmat); - mul_m4_m4m4(r_mat, params.winmat, obmat); + float obmat[4][4]; + + /* HACK */ + Object cam_cpy = *camera; + Camera camdata_cpy = *(Camera *)(camera->data); + cam_cpy.data = &camdata_cpy; + + /* Reset original pointers, so direct evaluation does not attempt to flush + * animation back to the original object: otherwise viewport with motion + * blur enabled will always loose non-keyed changes. */ + cam_cpy.id.orig_id = NULL; + camdata_cpy.id.orig_id = NULL; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + + /* Past matrix */ + /* FIXME : This is a temporal solution that does not take care of parent animations */ + /* Recalc Anim manually */ + BKE_animsys_evaluate_animdata( + draw_ctx->depsgraph, scene, &camdata_cpy.id, camdata_cpy.adt, time, ADT_RECALC_ALL); + BKE_object_where_is_calc_time(draw_ctx->depsgraph, scene, &cam_cpy, time); + + /* Compute winmat */ + CameraParams params; + BKE_camera_params_init(¶ms); + + if (v3d != NULL) { + BKE_camera_params_from_view3d(¶ms, draw_ctx->depsgraph, v3d, rv3d); + BKE_camera_params_compute_viewplane(¶ms, ar->winx, ar->winy, 1.0f, 1.0f); + } + else { + BKE_camera_params_from_object(¶ms, &cam_cpy); + BKE_camera_params_compute_viewplane( + ¶ms, scene->r.xsch, scene->r.ysch, scene->r.xasp, scene->r.yasp); + } + + BKE_camera_params_compute_matrix(¶ms); + + /* FIXME Should be done per view (MULTIVIEW) */ + normalize_m4_m4(obmat, cam_cpy.obmat); + invert_m4(obmat); + mul_m4_m4m4(r_mat, params.winmat, obmat); } static void eevee_create_shader_motion_blur(void) { - e_data.motion_blur_sh = DRW_shader_create_fullscreen(datatoc_effect_motion_blur_frag_glsl, NULL); + e_data.motion_blur_sh = DRW_shader_create_fullscreen(datatoc_effect_motion_blur_frag_glsl, NULL); } int EEVEE_motion_blur_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata, Object *camera) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - Scene *scene = draw_ctx->scene; - - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - ARegion *ar = draw_ctx->ar; - - if (scene_eval->eevee.flag & SCE_EEVEE_MOTION_BLUR_ENABLED) { - /* Update Motion Blur Matrices */ - if (camera) { - float persmat[4][4]; - float ctime = DEG_get_ctime(draw_ctx->depsgraph); - float delta = scene_eval->eevee.motion_blur_shutter; - Object *ob_camera_eval = DEG_get_evaluated_object(draw_ctx->depsgraph, camera); - - /* Viewport Matrix */ - /* Note: This does not have TAA jitter applied. */ - DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); - - bool view_is_valid = (stl->g_data->view_updated == false); - - if (draw_ctx->evil_C != NULL) { - struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); - view_is_valid = view_is_valid && (ED_screen_animation_no_scrub(wm) == NULL); - } - - /* The view is jittered by the oglrenderer. So avoid testing in this case. */ - if (!DRW_state_is_image_render()) { - view_is_valid = view_is_valid && compare_m4m4(persmat, effects->prev_drw_persmat, FLT_MIN); - /* WATCH: assume TAA init code runs last. */ - if (scene_eval->eevee.taa_samples == 1) { - /* Only if TAA is disabled. If not, TAA will update prev_drw_persmat itself. */ - copy_m4_m4(effects->prev_drw_persmat, persmat); - } - } - - effects->motion_blur_mat_cached = view_is_valid && !DRW_state_is_image_render(); - - /* Current matrix */ - if (effects->motion_blur_mat_cached == false) { - eevee_motion_blur_camera_get_matrix_at_time( - scene, - ar, rv3d, v3d, - ob_camera_eval, - ctime, - effects->current_world_to_ndc); - } - - /* Only continue if camera is not being keyed */ - if (DRW_state_is_image_render() || - compare_m4m4(persmat, effects->current_world_to_ndc, 0.0001f)) - { - /* Past matrix */ - if (effects->motion_blur_mat_cached == false) { - eevee_motion_blur_camera_get_matrix_at_time( - scene, - ar, rv3d, v3d, - ob_camera_eval, - ctime - delta, - effects->past_world_to_ndc); - -#if 0 /* for future high quality blur */ - /* Future matrix */ - eevee_motion_blur_camera_get_matrix_at_time( - scene, - ar, rv3d, v3d, - ob_camera_eval, - ctime + delta, - effects->future_world_to_ndc); + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + Scene *scene = draw_ctx->scene; + + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + ARegion *ar = draw_ctx->ar; + + if (scene_eval->eevee.flag & SCE_EEVEE_MOTION_BLUR_ENABLED) { + /* Update Motion Blur Matrices */ + if (camera) { + float persmat[4][4]; + float ctime = DEG_get_ctime(draw_ctx->depsgraph); + float delta = scene_eval->eevee.motion_blur_shutter; + Object *ob_camera_eval = DEG_get_evaluated_object(draw_ctx->depsgraph, camera); + + /* Viewport Matrix */ + /* Note: This does not have TAA jitter applied. */ + DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); + + bool view_is_valid = (stl->g_data->view_updated == false); + + if (draw_ctx->evil_C != NULL) { + struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); + view_is_valid = view_is_valid && (ED_screen_animation_no_scrub(wm) == NULL); + } + + /* The view is jittered by the oglrenderer. So avoid testing in this case. */ + if (!DRW_state_is_image_render()) { + view_is_valid = view_is_valid && compare_m4m4(persmat, effects->prev_drw_persmat, FLT_MIN); + /* WATCH: assume TAA init code runs last. */ + if (scene_eval->eevee.taa_samples == 1) { + /* Only if TAA is disabled. If not, TAA will update prev_drw_persmat itself. */ + copy_m4_m4(effects->prev_drw_persmat, persmat); + } + } + + effects->motion_blur_mat_cached = view_is_valid && !DRW_state_is_image_render(); + + /* Current matrix */ + if (effects->motion_blur_mat_cached == false) { + eevee_motion_blur_camera_get_matrix_at_time( + scene, ar, rv3d, v3d, ob_camera_eval, ctime, effects->current_world_to_ndc); + } + + /* Only continue if camera is not being keyed */ + if (DRW_state_is_image_render() || + compare_m4m4(persmat, effects->current_world_to_ndc, 0.0001f)) { + /* Past matrix */ + if (effects->motion_blur_mat_cached == false) { + eevee_motion_blur_camera_get_matrix_at_time( + scene, ar, rv3d, v3d, ob_camera_eval, ctime - delta, effects->past_world_to_ndc); + +#if 0 /* for future high quality blur */ + /* Future matrix */ + eevee_motion_blur_camera_get_matrix_at_time( + scene, + ar, rv3d, v3d, + ob_camera_eval, + ctime + delta, + effects->future_world_to_ndc); #endif - invert_m4_m4(effects->current_ndc_to_world, effects->current_world_to_ndc); - } + invert_m4_m4(effects->current_ndc_to_world, effects->current_world_to_ndc); + } - effects->motion_blur_mat_cached = true; - effects->motion_blur_samples = scene_eval->eevee.motion_blur_samples; + effects->motion_blur_mat_cached = true; + effects->motion_blur_samples = scene_eval->eevee.motion_blur_samples; - if (!e_data.motion_blur_sh) { - eevee_create_shader_motion_blur(); - } + if (!e_data.motion_blur_sh) { + eevee_create_shader_motion_blur(); + } - return EFFECT_MOTION_BLUR | EFFECT_POST_BUFFER; - } - } - } + return EFFECT_MOTION_BLUR | EFFECT_POST_BUFFER; + } + } + } - return 0; + return 0; } void EEVEE_motion_blur_cache_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - if ((effects->enabled_effects & EFFECT_MOTION_BLUR) != 0) { - psl->motion_blur = DRW_pass_create("Motion Blur", DRW_STATE_WRITE_COLOR); - - DRWShadingGroup *grp = DRW_shgroup_create(e_data.motion_blur_sh, psl->motion_blur); - DRW_shgroup_uniform_int(grp, "samples", &effects->motion_blur_samples, 1); - DRW_shgroup_uniform_mat4(grp, "currInvViewProjMatrix", effects->current_ndc_to_world); - DRW_shgroup_uniform_mat4(grp, "pastViewProjMatrix", effects->past_world_to_ndc); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_call_add(grp, quad, NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + if ((effects->enabled_effects & EFFECT_MOTION_BLUR) != 0) { + psl->motion_blur = DRW_pass_create("Motion Blur", DRW_STATE_WRITE_COLOR); + + DRWShadingGroup *grp = DRW_shgroup_create(e_data.motion_blur_sh, psl->motion_blur); + DRW_shgroup_uniform_int(grp, "samples", &effects->motion_blur_samples, 1); + DRW_shgroup_uniform_mat4(grp, "currInvViewProjMatrix", effects->current_ndc_to_world); + DRW_shgroup_uniform_mat4(grp, "pastViewProjMatrix", effects->past_world_to_ndc); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_call_add(grp, quad, NULL); + } } void EEVEE_motion_blur_draw(EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - /* Motion Blur */ - if ((effects->enabled_effects & EFFECT_MOTION_BLUR) != 0) { - GPU_framebuffer_bind(effects->target_buffer); - DRW_draw_pass(psl->motion_blur); - SWAP_BUFFERS(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + /* Motion Blur */ + if ((effects->enabled_effects & EFFECT_MOTION_BLUR) != 0) { + GPU_framebuffer_bind(effects->target_buffer); + DRW_draw_pass(psl->motion_blur); + SWAP_BUFFERS(); + } } void EEVEE_motion_blur_free(void) { - DRW_SHADER_FREE_SAFE(e_data.motion_blur_sh); + DRW_SHADER_FREE_SAFE(e_data.motion_blur_sh); } diff --git a/source/blender/draw/engines/eevee/eevee_occlusion.c b/source/blender/draw/engines/eevee/eevee_occlusion.c index 5e95755ea76..822df19f899 100644 --- a/source/blender/draw/engines/eevee/eevee_occlusion.c +++ b/source/blender/draw/engines/eevee/eevee_occlusion.c @@ -26,7 +26,6 @@ #include "BLI_string_utils.h" - #include "DEG_depsgraph_query.h" #include "BKE_global.h" /* for G.debug_value */ @@ -37,11 +36,11 @@ #include "GPU_state.h" static struct { - /* Ground Truth Ambient Occlusion */ - struct GPUShader *gtao_sh; - struct GPUShader *gtao_layer_sh; - struct GPUShader *gtao_debug_sh; - struct GPUTexture *src_depth; + /* Ground Truth Ambient Occlusion */ + struct GPUShader *gtao_sh; + struct GPUShader *gtao_layer_sh; + struct GPUShader *gtao_debug_sh; + struct GPUTexture *src_depth; } e_data = {NULL}; /* Engine data */ extern char datatoc_ambient_occlusion_lib_glsl[]; @@ -52,260 +51,257 @@ extern char datatoc_effect_gtao_frag_glsl[]; static void eevee_create_shader_occlusion(void) { - char *frag_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_ambient_occlusion_lib_glsl, - datatoc_effect_gtao_frag_glsl); - - e_data.gtao_sh = DRW_shader_create_fullscreen(frag_str, NULL); - e_data.gtao_layer_sh = DRW_shader_create_fullscreen(frag_str, "#define LAYERED_DEPTH\n"); - e_data.gtao_debug_sh = DRW_shader_create_fullscreen(frag_str, "#define DEBUG_AO\n"); - - MEM_freeN(frag_str); + char *frag_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_ambient_occlusion_lib_glsl, + datatoc_effect_gtao_frag_glsl); + + e_data.gtao_sh = DRW_shader_create_fullscreen(frag_str, NULL); + e_data.gtao_layer_sh = DRW_shader_create_fullscreen(frag_str, "#define LAYERED_DEPTH\n"); + e_data.gtao_debug_sh = DRW_shader_create_fullscreen(frag_str, "#define DEBUG_AO\n"); + + MEM_freeN(frag_str); } int EEVEE_occlusion_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_ENABLED) { - const float *viewport_size = DRW_viewport_size_get(); - const int fs_size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - /* Shaders */ - if (!e_data.gtao_sh) { - eevee_create_shader_occlusion(); - } - - common_data->ao_dist = scene_eval->eevee.gtao_distance; - common_data->ao_factor = scene_eval->eevee.gtao_factor; - common_data->ao_quality = 1.0f - scene_eval->eevee.gtao_quality; - - common_data->ao_settings = 1.0f; /* USE_AO */ - if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BENT_NORMALS) { - common_data->ao_settings += 2.0f; /* USE_BENT_NORMAL */ - } - if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BOUNCE) { - common_data->ao_settings += 4.0f; /* USE_DENOISE */ - } - - common_data->ao_bounce_fac = (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BOUNCE) ? 1.0f : 0.0f; - - effects->gtao_horizons = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_RGBA8, - &draw_engine_eevee_type); - GPU_framebuffer_ensure_config(&fbl->gtao_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->gtao_horizons) - }); - - if (G.debug_value == 6) { - effects->gtao_horizons_debug = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_RGBA8, - &draw_engine_eevee_type); - GPU_framebuffer_ensure_config(&fbl->gtao_debug_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->gtao_horizons_debug) - }); - } - else { - effects->gtao_horizons_debug = NULL; - } - - return EFFECT_GTAO | EFFECT_NORMAL_BUFFER; - } - - /* Cleanup */ - effects->gtao_horizons = NULL; - GPU_FRAMEBUFFER_FREE_SAFE(fbl->gtao_fb); - common_data->ao_settings = 0.0f; - - return 0; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_ENABLED) { + const float *viewport_size = DRW_viewport_size_get(); + const int fs_size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + /* Shaders */ + if (!e_data.gtao_sh) { + eevee_create_shader_occlusion(); + } + + common_data->ao_dist = scene_eval->eevee.gtao_distance; + common_data->ao_factor = scene_eval->eevee.gtao_factor; + common_data->ao_quality = 1.0f - scene_eval->eevee.gtao_quality; + + common_data->ao_settings = 1.0f; /* USE_AO */ + if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BENT_NORMALS) { + common_data->ao_settings += 2.0f; /* USE_BENT_NORMAL */ + } + if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BOUNCE) { + common_data->ao_settings += 4.0f; /* USE_DENOISE */ + } + + common_data->ao_bounce_fac = (scene_eval->eevee.flag & SCE_EEVEE_GTAO_BOUNCE) ? 1.0f : 0.0f; + + effects->gtao_horizons = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_RGBA8, &draw_engine_eevee_type); + GPU_framebuffer_ensure_config( + &fbl->gtao_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->gtao_horizons)}); + + if (G.debug_value == 6) { + effects->gtao_horizons_debug = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_RGBA8, &draw_engine_eevee_type); + GPU_framebuffer_ensure_config( + &fbl->gtao_debug_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->gtao_horizons_debug)}); + } + else { + effects->gtao_horizons_debug = NULL; + } + + return EFFECT_GTAO | EFFECT_NORMAL_BUFFER; + } + + /* Cleanup */ + effects->gtao_horizons = NULL; + GPU_FRAMEBUFFER_FREE_SAFE(fbl->gtao_fb); + common_data->ao_settings = 0.0f; + + return 0; } void EEVEE_occlusion_output_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PassList *psl = vedata->psl; - EEVEE_EffectsInfo *effects = stl->effects; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_ENABLED) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - DRW_texture_ensure_fullscreen_2d(&txl->ao_accum, GPU_R32F, 0); /* Should be enough precision for many samples. */ - - GPU_framebuffer_ensure_config(&fbl->ao_accum_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->ao_accum) - }); - - /* Clear texture. */ - GPU_framebuffer_bind(fbl->ao_accum_fb); - GPU_framebuffer_clear_color(fbl->ao_accum_fb, clear); - - /* Accumulation pass */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE; - psl->ao_accum_ps = DRW_pass_create("AO Accum", state); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.gtao_debug_sh, psl->ao_accum_ps); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); - DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - else { - /* Cleanup to release memory */ - DRW_TEXTURE_FREE_SAFE(txl->ao_accum); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->ao_accum_fb); - } + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PassList *psl = vedata->psl; + EEVEE_EffectsInfo *effects = stl->effects; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_GTAO_ENABLED) { + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + DRW_texture_ensure_fullscreen_2d( + &txl->ao_accum, GPU_R32F, 0); /* Should be enough precision for many samples. */ + + GPU_framebuffer_ensure_config(&fbl->ao_accum_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->ao_accum)}); + + /* Clear texture. */ + GPU_framebuffer_bind(fbl->ao_accum_fb); + GPU_framebuffer_clear_color(fbl->ao_accum_fb, clear); + + /* Accumulation pass */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE; + psl->ao_accum_ps = DRW_pass_create("AO Accum", state); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.gtao_debug_sh, psl->ao_accum_ps); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); + DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + else { + /* Cleanup to release memory */ + DRW_TEXTURE_FREE_SAFE(txl->ao_accum); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->ao_accum_fb); + } } void EEVEE_occlusion_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - if ((effects->enabled_effects & EFFECT_GTAO) != 0) { - /** Occlusion algorithm overview - * - * We separate the computation into 2 steps. - * - * - First we scan the neighborhood pixels to find the maximum horizon angle. - * We save this angle in a RG8 array texture. - * - * - Then we use this angle to compute occlusion with the shading normal at - * the shading stage. This let us do correct shadowing for each diffuse / specular - * lobe present in the shader using the correct normal. - */ - psl->ao_horizon_search = DRW_pass_create("GTAO Horizon Search", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.gtao_sh, psl->ao_horizon_search); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &effects->ao_src_depth); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->ao_horizon_search_layer = DRW_pass_create("GTAO Horizon Search Layer", DRW_STATE_WRITE_COLOR); - grp = DRW_shgroup_create(e_data.gtao_layer_sh, psl->ao_horizon_search_layer); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBufferLayered", &effects->ao_src_depth); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_int(grp, "layer", &stl->effects->ao_depth_layer, 1); - DRW_shgroup_call_add(grp, quad, NULL); - - if (G.debug_value == 6) { - psl->ao_horizon_debug = DRW_pass_create("GTAO Horizon Debug", DRW_STATE_WRITE_COLOR); - grp = DRW_shgroup_create(e_data.gtao_debug_sh, psl->ao_horizon_debug); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); - DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_call_add(grp, quad, NULL); - } - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + if ((effects->enabled_effects & EFFECT_GTAO) != 0) { + /** Occlusion algorithm overview + * + * We separate the computation into 2 steps. + * + * - First we scan the neighborhood pixels to find the maximum horizon angle. + * We save this angle in a RG8 array texture. + * + * - Then we use this angle to compute occlusion with the shading normal at + * the shading stage. This let us do correct shadowing for each diffuse / specular + * lobe present in the shader using the correct normal. + */ + psl->ao_horizon_search = DRW_pass_create("GTAO Horizon Search", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.gtao_sh, psl->ao_horizon_search); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &effects->ao_src_depth); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->ao_horizon_search_layer = DRW_pass_create("GTAO Horizon Search Layer", + DRW_STATE_WRITE_COLOR); + grp = DRW_shgroup_create(e_data.gtao_layer_sh, psl->ao_horizon_search_layer); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBufferLayered", &effects->ao_src_depth); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_int(grp, "layer", &stl->effects->ao_depth_layer, 1); + DRW_shgroup_call_add(grp, quad, NULL); + + if (G.debug_value == 6) { + psl->ao_horizon_debug = DRW_pass_create("GTAO Horizon Debug", DRW_STATE_WRITE_COLOR); + grp = DRW_shgroup_create(e_data.gtao_debug_sh, psl->ao_horizon_debug); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); + DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_call_add(grp, quad, NULL); + } + } } -void EEVEE_occlusion_compute( - EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata, struct GPUTexture *depth_src, int layer) +void EEVEE_occlusion_compute(EEVEE_ViewLayerData *UNUSED(sldata), + EEVEE_Data *vedata, + struct GPUTexture *depth_src, + int layer) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_GTAO) != 0) { - DRW_stats_group_start("GTAO Horizon Scan"); - effects->ao_src_depth = depth_src; - effects->ao_depth_layer = layer; - - GPU_framebuffer_bind(fbl->gtao_fb); - - if (layer >= 0) { - DRW_draw_pass(psl->ao_horizon_search_layer); - } - else { - DRW_draw_pass(psl->ao_horizon_search); - } - - if (GPU_mip_render_workaround() || - GPU_type_matches(GPU_DEVICE_INTEL_UHD, GPU_OS_WIN, GPU_DRIVER_ANY)) - { - /* Fix dot corruption on intel HD5XX/HD6XX series. */ - GPU_flush(); - } - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - - DRW_stats_group_end(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_GTAO) != 0) { + DRW_stats_group_start("GTAO Horizon Scan"); + effects->ao_src_depth = depth_src; + effects->ao_depth_layer = layer; + + GPU_framebuffer_bind(fbl->gtao_fb); + + if (layer >= 0) { + DRW_draw_pass(psl->ao_horizon_search_layer); + } + else { + DRW_draw_pass(psl->ao_horizon_search); + } + + if (GPU_mip_render_workaround() || + GPU_type_matches(GPU_DEVICE_INTEL_UHD, GPU_OS_WIN, GPU_DRIVER_ANY)) { + /* Fix dot corruption on intel HD5XX/HD6XX series. */ + GPU_flush(); + } + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + + DRW_stats_group_end(); + } } void EEVEE_occlusion_draw_debug(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; - if (((effects->enabled_effects & EFFECT_GTAO) != 0) && (G.debug_value == 6)) { - DRW_stats_group_start("GTAO Debug"); + if (((effects->enabled_effects & EFFECT_GTAO) != 0) && (G.debug_value == 6)) { + DRW_stats_group_start("GTAO Debug"); - GPU_framebuffer_bind(fbl->gtao_debug_fb); - DRW_draw_pass(psl->ao_horizon_debug); + GPU_framebuffer_bind(fbl->gtao_debug_fb); + DRW_draw_pass(psl->ao_horizon_debug); - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); - DRW_stats_group_end(); - } + DRW_stats_group_end(); + } } void EEVEE_occlusion_output_accumulate(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_PassList *psl = vedata->psl; - if (fbl->ao_accum_fb != NULL) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + if (fbl->ao_accum_fb != NULL) { + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - /* Update the min_max/horizon buffers so the refracion materials appear in it. */ - EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); - EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); + /* Update the min_max/horizon buffers so the refracion materials appear in it. */ + EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); + EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); - GPU_framebuffer_bind(fbl->ao_accum_fb); - DRW_draw_pass(psl->ao_accum_ps); + GPU_framebuffer_bind(fbl->ao_accum_fb); + DRW_draw_pass(psl->ao_accum_ps); - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - } + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + } } void EEVEE_occlusion_free(void) { - DRW_SHADER_FREE_SAFE(e_data.gtao_sh); - DRW_SHADER_FREE_SAFE(e_data.gtao_layer_sh); - DRW_SHADER_FREE_SAFE(e_data.gtao_debug_sh); + DRW_SHADER_FREE_SAFE(e_data.gtao_sh); + DRW_SHADER_FREE_SAFE(e_data.gtao_layer_sh); + DRW_SHADER_FREE_SAFE(e_data.gtao_debug_sh); } diff --git a/source/blender/draw/engines/eevee/eevee_private.h b/source/blender/draw/engines/eevee/eevee_private.h index 5f073d45dfb..8e21c7f389c 100644 --- a/source/blender/draw/engines/eevee/eevee_private.h +++ b/source/blender/draw/engines/eevee/eevee_private.h @@ -36,7 +36,7 @@ extern struct DrawEngineType draw_engine_eevee_type; /* Minimum UBO is 16384 bytes */ #define MAX_PROBE 128 /* TODO : find size by dividing UBO max size by probe data size */ -#define MAX_GRID 64 /* TODO : find size by dividing UBO max size by grid data size */ +#define MAX_GRID 64 /* TODO : find size by dividing UBO max size by grid data size */ #define MAX_PLANAR 16 /* TODO : find size by dividing UBO max size by grid data size */ #define MAX_LIGHT 128 /* TODO : find size by dividing UBO max size by light data size */ #define MAX_CASCADE_NUM 4 @@ -62,99 +62,111 @@ extern struct DrawEngineType draw_engine_eevee_type; /* Macro causes over indentation. */ /* clang-format off */ #define SHADER_DEFINES \ - "#define EEVEE_ENGINE\n" \ - "#define MAX_PROBE " STRINGIFY(MAX_PROBE) "\n" \ - "#define MAX_GRID " STRINGIFY(MAX_GRID) "\n" \ - "#define MAX_PLANAR " STRINGIFY(MAX_PLANAR) "\n" \ - "#define MAX_LIGHT " STRINGIFY(MAX_LIGHT) "\n" \ - "#define MAX_SHADOW " STRINGIFY(MAX_SHADOW) "\n" \ - "#define MAX_SHADOW_CUBE " STRINGIFY(MAX_SHADOW_CUBE) "\n" \ - "#define MAX_SHADOW_CASCADE " STRINGIFY(MAX_SHADOW_CASCADE) "\n" \ - "#define MAX_CASCADE_NUM " STRINGIFY(MAX_CASCADE_NUM) "\n" \ - SHADER_IRRADIANCE + "#define EEVEE_ENGINE\n" \ + "#define MAX_PROBE " STRINGIFY(MAX_PROBE) "\n" \ + "#define MAX_GRID " STRINGIFY(MAX_GRID) "\n" \ + "#define MAX_PLANAR " STRINGIFY(MAX_PLANAR) "\n" \ + "#define MAX_LIGHT " STRINGIFY(MAX_LIGHT) "\n" \ + "#define MAX_SHADOW " STRINGIFY(MAX_SHADOW) "\n" \ + "#define MAX_SHADOW_CUBE " STRINGIFY(MAX_SHADOW_CUBE) "\n" \ + "#define MAX_SHADOW_CASCADE " STRINGIFY(MAX_SHADOW_CASCADE) "\n" \ + "#define MAX_CASCADE_NUM " STRINGIFY(MAX_CASCADE_NUM) "\n" \ + SHADER_IRRADIANCE /* clang-format on */ -#define SWAP_DOUBLE_BUFFERS() { \ - if (effects->swap_double_buffer) { \ - SWAP(struct GPUFrameBuffer *, fbl->main_fb, fbl->double_buffer_fb); \ - SWAP(struct GPUFrameBuffer *, fbl->main_color_fb, fbl->double_buffer_color_fb); \ - SWAP(GPUTexture *, txl->color, txl->color_double_buffer); \ - effects->swap_double_buffer = false; \ - } \ -} ((void)0) - -#define SWAP_BUFFERS() { \ - if (effects->target_buffer == fbl->effect_color_fb) { \ - SWAP_DOUBLE_BUFFERS(); \ - effects->source_buffer = txl->color_post; \ - effects->target_buffer = fbl->main_color_fb; \ - } \ - else { \ - SWAP_DOUBLE_BUFFERS(); \ - effects->source_buffer = txl->color; \ - effects->target_buffer = fbl->effect_color_fb; \ - } \ -} ((void)0) - -#define SWAP_BUFFERS_TAA() { \ - if (effects->target_buffer == fbl->effect_color_fb) { \ - SWAP(struct GPUFrameBuffer *, fbl->effect_fb, fbl->taa_history_fb); \ - SWAP(struct GPUFrameBuffer *, fbl->effect_color_fb, fbl->taa_history_color_fb); \ - SWAP(GPUTexture *, txl->color_post, txl->taa_history); \ - effects->source_buffer = txl->taa_history; \ - effects->target_buffer = fbl->effect_color_fb; \ - } \ - else { \ - SWAP(struct GPUFrameBuffer *, fbl->main_fb, fbl->taa_history_fb); \ - SWAP(struct GPUFrameBuffer *, fbl->main_color_fb, fbl->taa_history_color_fb); \ - SWAP(GPUTexture *, txl->color, txl->taa_history); \ - effects->source_buffer = txl->taa_history; \ - effects->target_buffer = fbl->main_color_fb; \ - } \ -} ((void)0) +#define SWAP_DOUBLE_BUFFERS() \ + { \ + if (effects->swap_double_buffer) { \ + SWAP(struct GPUFrameBuffer *, fbl->main_fb, fbl->double_buffer_fb); \ + SWAP(struct GPUFrameBuffer *, fbl->main_color_fb, fbl->double_buffer_color_fb); \ + SWAP(GPUTexture *, txl->color, txl->color_double_buffer); \ + effects->swap_double_buffer = false; \ + } \ + } \ + ((void)0) + +#define SWAP_BUFFERS() \ + { \ + if (effects->target_buffer == fbl->effect_color_fb) { \ + SWAP_DOUBLE_BUFFERS(); \ + effects->source_buffer = txl->color_post; \ + effects->target_buffer = fbl->main_color_fb; \ + } \ + else { \ + SWAP_DOUBLE_BUFFERS(); \ + effects->source_buffer = txl->color; \ + effects->target_buffer = fbl->effect_color_fb; \ + } \ + } \ + ((void)0) + +#define SWAP_BUFFERS_TAA() \ + { \ + if (effects->target_buffer == fbl->effect_color_fb) { \ + SWAP(struct GPUFrameBuffer *, fbl->effect_fb, fbl->taa_history_fb); \ + SWAP(struct GPUFrameBuffer *, fbl->effect_color_fb, fbl->taa_history_color_fb); \ + SWAP(GPUTexture *, txl->color_post, txl->taa_history); \ + effects->source_buffer = txl->taa_history; \ + effects->target_buffer = fbl->effect_color_fb; \ + } \ + else { \ + SWAP(struct GPUFrameBuffer *, fbl->main_fb, fbl->taa_history_fb); \ + SWAP(struct GPUFrameBuffer *, fbl->main_color_fb, fbl->taa_history_color_fb); \ + SWAP(GPUTexture *, txl->color, txl->taa_history); \ + effects->source_buffer = txl->taa_history; \ + effects->target_buffer = fbl->main_color_fb; \ + } \ + } \ + ((void)0) #define OVERLAY_ENABLED(v3d) ((v3d) && (v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) #define LOOK_DEV_MODE_ENABLED(v3d) ((v3d) && (v3d->shading.type == OB_MATERIAL)) -#define LOOK_DEV_OVERLAY_ENABLED(v3d) (LOOK_DEV_MODE_ENABLED(v3d) && OVERLAY_ENABLED(v3d) && (v3d->overlay.flag & V3D_OVERLAY_LOOK_DEV)) -#define USE_SCENE_LIGHT(v3d) ((!v3d) || (!LOOK_DEV_MODE_ENABLED(v3d)) || ((LOOK_DEV_MODE_ENABLED(v3d) && (v3d->shading.flag & V3D_SHADING_SCENE_LIGHTS)))) -#define LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d) (LOOK_DEV_MODE_ENABLED(v3d) && !(v3d->shading.flag & V3D_SHADING_SCENE_WORLD)) - -#define OCTAHEDRAL_SIZE_FROM_CUBESIZE(cube_size) ((int)ceilf(sqrtf((cube_size * cube_size) * 6.0f))) +#define LOOK_DEV_OVERLAY_ENABLED(v3d) \ + (LOOK_DEV_MODE_ENABLED(v3d) && OVERLAY_ENABLED(v3d) && \ + (v3d->overlay.flag & V3D_OVERLAY_LOOK_DEV)) +#define USE_SCENE_LIGHT(v3d) \ + ((!v3d) || (!LOOK_DEV_MODE_ENABLED(v3d)) || \ + ((LOOK_DEV_MODE_ENABLED(v3d) && (v3d->shading.flag & V3D_SHADING_SCENE_LIGHTS)))) +#define LOOK_DEV_STUDIO_LIGHT_ENABLED(v3d) \ + (LOOK_DEV_MODE_ENABLED(v3d) && !(v3d->shading.flag & V3D_SHADING_SCENE_WORLD)) + +#define OCTAHEDRAL_SIZE_FROM_CUBESIZE(cube_size) \ + ((int)ceilf(sqrtf((cube_size * cube_size) * 6.0f))) #define MIN_CUBE_LOD_LEVEL 3 #define MAX_PLANAR_LOD_LEVEL 9 /* World shader variations */ enum { - VAR_WORLD_BACKGROUND = 0, - VAR_WORLD_PROBE = 1, - VAR_WORLD_VOLUME = 2, + VAR_WORLD_BACKGROUND = 0, + VAR_WORLD_PROBE = 1, + VAR_WORLD_VOLUME = 2, }; /* Material shader variations */ enum { - VAR_MAT_MESH = (1 << 0), - VAR_MAT_PROBE = (1 << 1), - VAR_MAT_HAIR = (1 << 2), - VAR_MAT_FLAT = (1 << 3), - VAR_MAT_BLEND = (1 << 4), - VAR_MAT_VSM = (1 << 5), - VAR_MAT_ESM = (1 << 6), - VAR_MAT_VOLUME = (1 << 7), - VAR_MAT_LOOKDEV = (1 << 8), - /* Max number of variation */ - /* IMPORTANT : Leave it last and set - * it's value accordingly. */ - VAR_MAT_MAX = (1 << 9), - /* These are options that are not counted in VAR_MAT_MAX - * because they are not cumulative with the others above. */ - VAR_MAT_CLIP = (1 << 10), - VAR_MAT_HASH = (1 << 11), - VAR_MAT_MULT = (1 << 12), - VAR_MAT_SHADOW = (1 << 13), - VAR_MAT_REFRACT = (1 << 14), - VAR_MAT_SSS = (1 << 15), - VAR_MAT_TRANSLUC = (1 << 16), - VAR_MAT_SSSALBED = (1 << 17), + VAR_MAT_MESH = (1 << 0), + VAR_MAT_PROBE = (1 << 1), + VAR_MAT_HAIR = (1 << 2), + VAR_MAT_FLAT = (1 << 3), + VAR_MAT_BLEND = (1 << 4), + VAR_MAT_VSM = (1 << 5), + VAR_MAT_ESM = (1 << 6), + VAR_MAT_VOLUME = (1 << 7), + VAR_MAT_LOOKDEV = (1 << 8), + /* Max number of variation */ + /* IMPORTANT : Leave it last and set + * it's value accordingly. */ + VAR_MAT_MAX = (1 << 9), + /* These are options that are not counted in VAR_MAT_MAX + * because they are not cumulative with the others above. */ + VAR_MAT_CLIP = (1 << 10), + VAR_MAT_HASH = (1 << 11), + VAR_MAT_MULT = (1 << 12), + VAR_MAT_SHADOW = (1 << 13), + VAR_MAT_REFRACT = (1 << 14), + VAR_MAT_SSS = (1 << 15), + VAR_MAT_TRANSLUC = (1 << 16), + VAR_MAT_SSSALBED = (1 << 17), }; /* ************ PROBE UBO ************* */ @@ -166,448 +178,448 @@ typedef LightProbeCache EEVEE_LightProbe; typedef LightGridCache EEVEE_LightGrid; typedef struct EEVEE_PlanarReflection { - float plane_equation[4]; - float clip_vec_x[3], attenuation_scale; - float clip_vec_y[3], attenuation_bias; - float clip_edge_x_pos, clip_edge_x_neg; - float clip_edge_y_pos, clip_edge_y_neg; - float facing_scale, facing_bias, clipsta, pad; - float reflectionmat[4][4]; /* Used for sampling the texture. */ - float mtx[4][4]; /* Not used in shader. TODO move elsewhere. */ + float plane_equation[4]; + float clip_vec_x[3], attenuation_scale; + float clip_vec_y[3], attenuation_bias; + float clip_edge_x_pos, clip_edge_x_neg; + float clip_edge_y_pos, clip_edge_y_neg; + float facing_scale, facing_bias, clipsta, pad; + float reflectionmat[4][4]; /* Used for sampling the texture. */ + float mtx[4][4]; /* Not used in shader. TODO move elsewhere. */ } EEVEE_PlanarReflection; /* --------------------------------------- */ typedef struct EEVEE_BoundSphere { - float center[3], radius; + float center[3], radius; } EEVEE_BoundSphere; typedef struct EEVEE_BoundBox { - float center[3], halfdim[3]; + float center[3], halfdim[3]; } EEVEE_BoundBox; typedef struct EEVEE_PassList { - /* Shadows */ - struct DRWPass *shadow_pass; - struct DRWPass *shadow_cube_copy_pass; - struct DRWPass *shadow_cube_store_pass; - struct DRWPass *shadow_cube_store_high_pass; - struct DRWPass *shadow_cascade_copy_pass; - struct DRWPass *shadow_cascade_store_pass; - struct DRWPass *shadow_cascade_store_high_pass; - - /* Probes */ - struct DRWPass *probe_background; - struct DRWPass *probe_glossy_compute; - struct DRWPass *probe_diffuse_compute; - struct DRWPass *probe_visibility_compute; - struct DRWPass *probe_grid_fill; - struct DRWPass *probe_display; - struct DRWPass *probe_planar_downsample_ps; - - /* Effects */ - struct DRWPass *ao_horizon_search; - struct DRWPass *ao_horizon_search_layer; - struct DRWPass *ao_horizon_debug; - struct DRWPass *ao_accum_ps; - struct DRWPass *mist_accum_ps; - struct DRWPass *motion_blur; - struct DRWPass *bloom_blit; - struct DRWPass *bloom_downsample_first; - struct DRWPass *bloom_downsample; - struct DRWPass *bloom_upsample; - struct DRWPass *bloom_resolve; - struct DRWPass *dof_down; - struct DRWPass *dof_scatter; - struct DRWPass *dof_resolve; - struct DRWPass *volumetric_world_ps; - struct DRWPass *volumetric_objects_ps; - struct DRWPass *volumetric_scatter_ps; - struct DRWPass *volumetric_integration_ps; - struct DRWPass *volumetric_resolve_ps; - struct DRWPass *ssr_raytrace; - struct DRWPass *ssr_resolve; - struct DRWPass *sss_blur_ps; - struct DRWPass *sss_resolve_ps; - struct DRWPass *sss_accum_ps; - struct DRWPass *color_downsample_ps; - struct DRWPass *color_downsample_cube_ps; - struct DRWPass *velocity_resolve; - struct DRWPass *taa_resolve; - - /* HiZ */ - struct DRWPass *minz_downlevel_ps; - struct DRWPass *maxz_downlevel_ps; - struct DRWPass *minz_downdepth_ps; - struct DRWPass *maxz_downdepth_ps; - struct DRWPass *minz_downdepth_layer_ps; - struct DRWPass *maxz_downdepth_layer_ps; - struct DRWPass *minz_copydepth_ps; - struct DRWPass *maxz_copydepth_ps; - struct DRWPass *maxz_copydepth_layer_ps; - - struct DRWPass *depth_pass; - struct DRWPass *depth_pass_cull; - struct DRWPass *depth_pass_clip; - struct DRWPass *depth_pass_clip_cull; - struct DRWPass *refract_depth_pass; - struct DRWPass *refract_depth_pass_cull; - struct DRWPass *refract_depth_pass_clip; - struct DRWPass *refract_depth_pass_clip_cull; - struct DRWPass *default_pass[VAR_MAT_MAX]; - struct DRWPass *sss_pass; - struct DRWPass *sss_pass_cull; - struct DRWPass *material_pass; - struct DRWPass *material_pass_cull; - struct DRWPass *refract_pass; - struct DRWPass *transparent_pass; - struct DRWPass *background_pass; - struct DRWPass *update_noise_pass; - struct DRWPass *lookdev_pass; + /* Shadows */ + struct DRWPass *shadow_pass; + struct DRWPass *shadow_cube_copy_pass; + struct DRWPass *shadow_cube_store_pass; + struct DRWPass *shadow_cube_store_high_pass; + struct DRWPass *shadow_cascade_copy_pass; + struct DRWPass *shadow_cascade_store_pass; + struct DRWPass *shadow_cascade_store_high_pass; + + /* Probes */ + struct DRWPass *probe_background; + struct DRWPass *probe_glossy_compute; + struct DRWPass *probe_diffuse_compute; + struct DRWPass *probe_visibility_compute; + struct DRWPass *probe_grid_fill; + struct DRWPass *probe_display; + struct DRWPass *probe_planar_downsample_ps; + + /* Effects */ + struct DRWPass *ao_horizon_search; + struct DRWPass *ao_horizon_search_layer; + struct DRWPass *ao_horizon_debug; + struct DRWPass *ao_accum_ps; + struct DRWPass *mist_accum_ps; + struct DRWPass *motion_blur; + struct DRWPass *bloom_blit; + struct DRWPass *bloom_downsample_first; + struct DRWPass *bloom_downsample; + struct DRWPass *bloom_upsample; + struct DRWPass *bloom_resolve; + struct DRWPass *dof_down; + struct DRWPass *dof_scatter; + struct DRWPass *dof_resolve; + struct DRWPass *volumetric_world_ps; + struct DRWPass *volumetric_objects_ps; + struct DRWPass *volumetric_scatter_ps; + struct DRWPass *volumetric_integration_ps; + struct DRWPass *volumetric_resolve_ps; + struct DRWPass *ssr_raytrace; + struct DRWPass *ssr_resolve; + struct DRWPass *sss_blur_ps; + struct DRWPass *sss_resolve_ps; + struct DRWPass *sss_accum_ps; + struct DRWPass *color_downsample_ps; + struct DRWPass *color_downsample_cube_ps; + struct DRWPass *velocity_resolve; + struct DRWPass *taa_resolve; + + /* HiZ */ + struct DRWPass *minz_downlevel_ps; + struct DRWPass *maxz_downlevel_ps; + struct DRWPass *minz_downdepth_ps; + struct DRWPass *maxz_downdepth_ps; + struct DRWPass *minz_downdepth_layer_ps; + struct DRWPass *maxz_downdepth_layer_ps; + struct DRWPass *minz_copydepth_ps; + struct DRWPass *maxz_copydepth_ps; + struct DRWPass *maxz_copydepth_layer_ps; + + struct DRWPass *depth_pass; + struct DRWPass *depth_pass_cull; + struct DRWPass *depth_pass_clip; + struct DRWPass *depth_pass_clip_cull; + struct DRWPass *refract_depth_pass; + struct DRWPass *refract_depth_pass_cull; + struct DRWPass *refract_depth_pass_clip; + struct DRWPass *refract_depth_pass_clip_cull; + struct DRWPass *default_pass[VAR_MAT_MAX]; + struct DRWPass *sss_pass; + struct DRWPass *sss_pass_cull; + struct DRWPass *material_pass; + struct DRWPass *material_pass_cull; + struct DRWPass *refract_pass; + struct DRWPass *transparent_pass; + struct DRWPass *background_pass; + struct DRWPass *update_noise_pass; + struct DRWPass *lookdev_pass; } EEVEE_PassList; typedef struct EEVEE_FramebufferList { - /* Effects */ - struct GPUFrameBuffer *gtao_fb; - struct GPUFrameBuffer *gtao_debug_fb; - struct GPUFrameBuffer *downsample_fb; - struct GPUFrameBuffer *bloom_blit_fb; - struct GPUFrameBuffer *bloom_down_fb[MAX_BLOOM_STEP]; - struct GPUFrameBuffer *bloom_accum_fb[MAX_BLOOM_STEP - 1]; - struct GPUFrameBuffer *sss_blur_fb; - struct GPUFrameBuffer *sss_blit_fb; - struct GPUFrameBuffer *sss_resolve_fb; - struct GPUFrameBuffer *sss_clear_fb; - struct GPUFrameBuffer *sss_accum_fb; - struct GPUFrameBuffer *dof_down_fb; - struct GPUFrameBuffer *dof_scatter_fb; - struct GPUFrameBuffer *volumetric_fb; - struct GPUFrameBuffer *volumetric_scat_fb; - struct GPUFrameBuffer *volumetric_integ_fb; - struct GPUFrameBuffer *screen_tracing_fb; - struct GPUFrameBuffer *refract_fb; - struct GPUFrameBuffer *mist_accum_fb; - struct GPUFrameBuffer *ao_accum_fb; - struct GPUFrameBuffer *velocity_resolve_fb; - - struct GPUFrameBuffer *update_noise_fb; - - struct GPUFrameBuffer *planarref_fb; - struct GPUFrameBuffer *planar_downsample_fb; - - struct GPUFrameBuffer *main_fb; - struct GPUFrameBuffer *main_color_fb; - struct GPUFrameBuffer *effect_fb; - struct GPUFrameBuffer *effect_color_fb; - struct GPUFrameBuffer *double_buffer_fb; - struct GPUFrameBuffer *double_buffer_color_fb; - struct GPUFrameBuffer *double_buffer_depth_fb; - struct GPUFrameBuffer *taa_history_fb; - struct GPUFrameBuffer *taa_history_color_fb; + /* Effects */ + struct GPUFrameBuffer *gtao_fb; + struct GPUFrameBuffer *gtao_debug_fb; + struct GPUFrameBuffer *downsample_fb; + struct GPUFrameBuffer *bloom_blit_fb; + struct GPUFrameBuffer *bloom_down_fb[MAX_BLOOM_STEP]; + struct GPUFrameBuffer *bloom_accum_fb[MAX_BLOOM_STEP - 1]; + struct GPUFrameBuffer *sss_blur_fb; + struct GPUFrameBuffer *sss_blit_fb; + struct GPUFrameBuffer *sss_resolve_fb; + struct GPUFrameBuffer *sss_clear_fb; + struct GPUFrameBuffer *sss_accum_fb; + struct GPUFrameBuffer *dof_down_fb; + struct GPUFrameBuffer *dof_scatter_fb; + struct GPUFrameBuffer *volumetric_fb; + struct GPUFrameBuffer *volumetric_scat_fb; + struct GPUFrameBuffer *volumetric_integ_fb; + struct GPUFrameBuffer *screen_tracing_fb; + struct GPUFrameBuffer *refract_fb; + struct GPUFrameBuffer *mist_accum_fb; + struct GPUFrameBuffer *ao_accum_fb; + struct GPUFrameBuffer *velocity_resolve_fb; + + struct GPUFrameBuffer *update_noise_fb; + + struct GPUFrameBuffer *planarref_fb; + struct GPUFrameBuffer *planar_downsample_fb; + + struct GPUFrameBuffer *main_fb; + struct GPUFrameBuffer *main_color_fb; + struct GPUFrameBuffer *effect_fb; + struct GPUFrameBuffer *effect_color_fb; + struct GPUFrameBuffer *double_buffer_fb; + struct GPUFrameBuffer *double_buffer_color_fb; + struct GPUFrameBuffer *double_buffer_depth_fb; + struct GPUFrameBuffer *taa_history_fb; + struct GPUFrameBuffer *taa_history_color_fb; } EEVEE_FramebufferList; typedef struct EEVEE_TextureList { - /* Effects */ - struct GPUTexture *color_post; /* R16_G16_B16 */ - struct GPUTexture *mist_accum; - struct GPUTexture *ao_accum; - struct GPUTexture *sss_dir_accum; - struct GPUTexture *sss_col_accum; - struct GPUTexture *refract_color; - struct GPUTexture *taa_history; - - struct GPUTexture *volume_prop_scattering; - struct GPUTexture *volume_prop_extinction; - struct GPUTexture *volume_prop_emission; - struct GPUTexture *volume_prop_phase; - struct GPUTexture *volume_scatter; - struct GPUTexture *volume_transmittance; - struct GPUTexture *volume_scatter_history; - struct GPUTexture *volume_transmittance_history; - - struct GPUTexture *lookdev_grid_tx; - struct GPUTexture *lookdev_cube_tx; - - struct GPUTexture *planar_pool; - struct GPUTexture *planar_depth; - - struct GPUTexture *maxzbuffer; - - struct GPUTexture *color; /* R16_G16_B16 */ - struct GPUTexture *color_double_buffer; - struct GPUTexture *depth_double_buffer; + /* Effects */ + struct GPUTexture *color_post; /* R16_G16_B16 */ + struct GPUTexture *mist_accum; + struct GPUTexture *ao_accum; + struct GPUTexture *sss_dir_accum; + struct GPUTexture *sss_col_accum; + struct GPUTexture *refract_color; + struct GPUTexture *taa_history; + + struct GPUTexture *volume_prop_scattering; + struct GPUTexture *volume_prop_extinction; + struct GPUTexture *volume_prop_emission; + struct GPUTexture *volume_prop_phase; + struct GPUTexture *volume_scatter; + struct GPUTexture *volume_transmittance; + struct GPUTexture *volume_scatter_history; + struct GPUTexture *volume_transmittance_history; + + struct GPUTexture *lookdev_grid_tx; + struct GPUTexture *lookdev_cube_tx; + + struct GPUTexture *planar_pool; + struct GPUTexture *planar_depth; + + struct GPUTexture *maxzbuffer; + + struct GPUTexture *color; /* R16_G16_B16 */ + struct GPUTexture *color_double_buffer; + struct GPUTexture *depth_double_buffer; } EEVEE_TextureList; typedef struct EEVEE_StorageList { - /* Effects */ - struct EEVEE_EffectsInfo *effects; + /* Effects */ + struct EEVEE_EffectsInfo *effects; - struct EEVEE_PrivateData *g_data; + struct EEVEE_PrivateData *g_data; - struct LightCache *lookdev_lightcache; - EEVEE_LightProbe *lookdev_cube_data; - EEVEE_LightGrid *lookdev_grid_data; - LightCacheTexture *lookdev_cube_mips; + struct LightCache *lookdev_lightcache; + EEVEE_LightProbe *lookdev_cube_data; + EEVEE_LightGrid *lookdev_grid_data; + LightCacheTexture *lookdev_cube_mips; } EEVEE_StorageList; /* ************ LIGHT UBO ************* */ typedef struct EEVEE_Light { - float position[3], invsqrdist; - float color[3], spec; - float spotsize, spotblend, radius, shadowid; - float rightvec[3], sizex; - float upvec[3], sizey; - float forwardvec[3], light_type; + float position[3], invsqrdist; + float color[3], spec; + float spotsize, spotblend, radius, shadowid; + float rightvec[3], sizex; + float upvec[3], sizey; + float forwardvec[3], light_type; } EEVEE_Light; /* Special type for elliptic area lights, matches lamps_lib.glsl */ #define LAMPTYPE_AREA_ELLIPSE 100.0f typedef struct EEVEE_Shadow { - float near, far, bias, exp; - float shadow_start, data_start, multi_shadow_count, shadow_blur; - float contact_dist, contact_bias, contact_spread, contact_thickness; + float near, far, bias, exp; + float shadow_start, data_start, multi_shadow_count, shadow_blur; + float contact_dist, contact_bias, contact_spread, contact_thickness; } EEVEE_Shadow; typedef struct EEVEE_ShadowCube { - float position[3], pad; + float position[3], pad; } EEVEE_ShadowCube; typedef struct EEVEE_ShadowCascade { - /* World->Light->NDC->Tex : used for sampling the shadow map. */ - float shadowmat[MAX_CASCADE_NUM][4][4]; - float split_start[4]; - float split_end[4]; + /* World->Light->NDC->Tex : used for sampling the shadow map. */ + float shadowmat[MAX_CASCADE_NUM][4][4]; + float split_start[4]; + float split_end[4]; } EEVEE_ShadowCascade; typedef struct EEVEE_ShadowRender { - float position[3], pad; - float cube_texel_size; - float stored_texel_size; - float clip_near; - float clip_far; - int shadow_samples_len; - float shadow_samples_len_inv; - float exponent; + float position[3], pad; + float cube_texel_size; + float stored_texel_size; + float clip_near; + float clip_far; + int shadow_samples_len; + float shadow_samples_len_inv; + float exponent; } EEVEE_ShadowRender; /* This is just a really long bitflag with special function to access it. */ #define MAX_LIGHTBITS_FIELDS (MAX_LIGHT / 8) typedef struct EEVEE_LightBits { - uchar fields[MAX_LIGHTBITS_FIELDS]; + uchar fields[MAX_LIGHTBITS_FIELDS]; } EEVEE_LightBits; typedef struct EEVEE_ShadowCaster { - struct EEVEE_LightBits bits; - struct EEVEE_BoundBox bbox; + struct EEVEE_LightBits bits; + struct EEVEE_BoundBox bbox; } EEVEE_ShadowCaster; typedef struct EEVEE_ShadowCasterBuffer { - struct EEVEE_ShadowCaster *shadow_casters; - char *flags; - uint alloc_count; - uint count; + struct EEVEE_ShadowCaster *shadow_casters; + char *flags; + uint alloc_count; + uint count; } EEVEE_ShadowCasterBuffer; /* ************ LIGHT DATA ************* */ typedef struct EEVEE_LightsInfo { - int num_light, cache_num_light; - int num_cube_layer, cache_num_cube_layer; - int num_cascade_layer, cache_num_cascade_layer; - int gpu_cube_len, gpu_cascade_len, gpu_shadow_len; - int cpu_cube_len, cpu_cascade_len; - int update_flag; - int shadow_cube_size, shadow_cascade_size, shadow_method; - bool shadow_high_bitdepth, soft_shadows; - int shadow_cube_store_size; - int current_shadow_cascade; - int current_shadow_face; - uint shadow_instance_count; - float filter_size; - /* List of lights in the scene. */ - /* XXX This is fragile, can get out of sync quickly. */ - struct Object *light_ref[MAX_LIGHT]; - struct Object *shadow_cube_ref[MAX_SHADOW_CUBE]; - struct Object *shadow_cascade_ref[MAX_SHADOW_CASCADE]; - /* UBO Storage : data used by UBO */ - struct EEVEE_Light light_data[MAX_LIGHT]; - struct EEVEE_ShadowRender shadow_render_data; - struct EEVEE_Shadow shadow_data[MAX_SHADOW]; - struct EEVEE_ShadowCube shadow_cube_data[MAX_SHADOW_CUBE]; - struct EEVEE_ShadowCascade shadow_cascade_data[MAX_SHADOW_CASCADE]; - /* Lights tracking */ - int new_shadow_id[MAX_LIGHT]; /* To be able to convert old bitfield to new bitfield */ - struct EEVEE_BoundSphere shadow_bounds[MAX_LIGHT]; /* Tightly packed light bounds */ - /* Pointers only. */ - struct EEVEE_ShadowCasterBuffer *shcaster_frontbuffer; - struct EEVEE_ShadowCasterBuffer *shcaster_backbuffer; + int num_light, cache_num_light; + int num_cube_layer, cache_num_cube_layer; + int num_cascade_layer, cache_num_cascade_layer; + int gpu_cube_len, gpu_cascade_len, gpu_shadow_len; + int cpu_cube_len, cpu_cascade_len; + int update_flag; + int shadow_cube_size, shadow_cascade_size, shadow_method; + bool shadow_high_bitdepth, soft_shadows; + int shadow_cube_store_size; + int current_shadow_cascade; + int current_shadow_face; + uint shadow_instance_count; + float filter_size; + /* List of lights in the scene. */ + /* XXX This is fragile, can get out of sync quickly. */ + struct Object *light_ref[MAX_LIGHT]; + struct Object *shadow_cube_ref[MAX_SHADOW_CUBE]; + struct Object *shadow_cascade_ref[MAX_SHADOW_CASCADE]; + /* UBO Storage : data used by UBO */ + struct EEVEE_Light light_data[MAX_LIGHT]; + struct EEVEE_ShadowRender shadow_render_data; + struct EEVEE_Shadow shadow_data[MAX_SHADOW]; + struct EEVEE_ShadowCube shadow_cube_data[MAX_SHADOW_CUBE]; + struct EEVEE_ShadowCascade shadow_cascade_data[MAX_SHADOW_CASCADE]; + /* Lights tracking */ + int new_shadow_id[MAX_LIGHT]; /* To be able to convert old bitfield to new bitfield */ + struct EEVEE_BoundSphere shadow_bounds[MAX_LIGHT]; /* Tightly packed light bounds */ + /* Pointers only. */ + struct EEVEE_ShadowCasterBuffer *shcaster_frontbuffer; + struct EEVEE_ShadowCasterBuffer *shcaster_backbuffer; } EEVEE_LightsInfo; /* EEVEE_LightsInfo->shadow_casters_flag */ enum { - SHADOW_CASTER_PRUNED = (1 << 0), - SHADOW_CASTER_UPDATED = (1 << 1), + SHADOW_CASTER_PRUNED = (1 << 0), + SHADOW_CASTER_UPDATED = (1 << 1), }; /* EEVEE_LightsInfo->update_flag */ enum { - LIGHT_UPDATE_SHADOW_CUBE = (1 << 0), + LIGHT_UPDATE_SHADOW_CUBE = (1 << 0), }; /* ************ PROBE DATA ************* */ typedef struct EEVEE_LightProbeVisTest { - struct Collection *collection; /* Skip test if NULL */ - bool invert; - bool cached; /* Reuse last test results */ + struct Collection *collection; /* Skip test if NULL */ + bool invert; + bool cached; /* Reuse last test results */ } EEVEE_LightProbeVisTest; typedef struct EEVEE_LightProbesInfo { - int num_cube, cache_num_cube; - int num_grid, cache_num_grid; - int num_planar, cache_num_planar; - int total_irradiance_samples; /* Total for all grids */ - int cache_irradiance_size[3]; - int update_flag; - int updated_bounce; - int num_bounce; - int cubemap_res; - /* Update */ - bool do_cube_update; - bool do_grid_update; - /* For rendering probes */ - float probemat[6][4][4]; - int layer; - float texel_size; - float padding_size; - float samples_len; - float samples_len_inv; - float near_clip; - float far_clip; - float roughness; - float firefly_fac; - float lodfactor; - float lod_rt_max, lod_cube_max, lod_planar_max; - float visibility_range; - float visibility_blur; - float intensity_fac; - int shres; - EEVEE_LightProbeVisTest planar_vis_tests[MAX_PLANAR]; - /* UBO Storage : data used by UBO */ - EEVEE_LightProbe probe_data[MAX_PROBE]; - EEVEE_LightGrid grid_data[MAX_GRID]; - EEVEE_PlanarReflection planar_data[MAX_PLANAR]; - /* Probe Visibility Collection */ - EEVEE_LightProbeVisTest vis_data; + int num_cube, cache_num_cube; + int num_grid, cache_num_grid; + int num_planar, cache_num_planar; + int total_irradiance_samples; /* Total for all grids */ + int cache_irradiance_size[3]; + int update_flag; + int updated_bounce; + int num_bounce; + int cubemap_res; + /* Update */ + bool do_cube_update; + bool do_grid_update; + /* For rendering probes */ + float probemat[6][4][4]; + int layer; + float texel_size; + float padding_size; + float samples_len; + float samples_len_inv; + float near_clip; + float far_clip; + float roughness; + float firefly_fac; + float lodfactor; + float lod_rt_max, lod_cube_max, lod_planar_max; + float visibility_range; + float visibility_blur; + float intensity_fac; + int shres; + EEVEE_LightProbeVisTest planar_vis_tests[MAX_PLANAR]; + /* UBO Storage : data used by UBO */ + EEVEE_LightProbe probe_data[MAX_PROBE]; + EEVEE_LightGrid grid_data[MAX_GRID]; + EEVEE_PlanarReflection planar_data[MAX_PLANAR]; + /* Probe Visibility Collection */ + EEVEE_LightProbeVisTest vis_data; } EEVEE_LightProbesInfo; /* EEVEE_LightProbesInfo->update_flag */ enum { - PROBE_UPDATE_CUBE = (1 << 0), - PROBE_UPDATE_GRID = (1 << 1), - PROBE_UPDATE_ALL = 0xFFFFFF, + PROBE_UPDATE_CUBE = (1 << 0), + PROBE_UPDATE_GRID = (1 << 1), + PROBE_UPDATE_ALL = 0xFFFFFF, }; /* ************ EFFECTS DATA ************* */ typedef enum EEVEE_EffectsFlag { - EFFECT_MOTION_BLUR = (1 << 0), - EFFECT_BLOOM = (1 << 1), - EFFECT_DOF = (1 << 2), - EFFECT_VOLUMETRIC = (1 << 3), - EFFECT_SSR = (1 << 4), - EFFECT_DOUBLE_BUFFER = (1 << 5), /* Not really an effect but a feature */ - EFFECT_REFRACT = (1 << 6), - EFFECT_GTAO = (1 << 7), - EFFECT_TAA = (1 << 8), - EFFECT_POST_BUFFER = (1 << 9), /* Not really an effect but a feature */ - EFFECT_NORMAL_BUFFER = (1 << 10), /* Not really an effect but a feature */ - EFFECT_SSS = (1 << 11), - EFFECT_VELOCITY_BUFFER = (1 << 12), /* Not really an effect but a feature */ - EFFECT_TAA_REPROJECT = (1 << 13), /* should be mutually exclusive with EFFECT_TAA */ - EFFECT_DEPTH_DOUBLE_BUFFER = (1 << 14), /* Not really an effect but a feature */ + EFFECT_MOTION_BLUR = (1 << 0), + EFFECT_BLOOM = (1 << 1), + EFFECT_DOF = (1 << 2), + EFFECT_VOLUMETRIC = (1 << 3), + EFFECT_SSR = (1 << 4), + EFFECT_DOUBLE_BUFFER = (1 << 5), /* Not really an effect but a feature */ + EFFECT_REFRACT = (1 << 6), + EFFECT_GTAO = (1 << 7), + EFFECT_TAA = (1 << 8), + EFFECT_POST_BUFFER = (1 << 9), /* Not really an effect but a feature */ + EFFECT_NORMAL_BUFFER = (1 << 10), /* Not really an effect but a feature */ + EFFECT_SSS = (1 << 11), + EFFECT_VELOCITY_BUFFER = (1 << 12), /* Not really an effect but a feature */ + EFFECT_TAA_REPROJECT = (1 << 13), /* should be mutually exclusive with EFFECT_TAA */ + EFFECT_DEPTH_DOUBLE_BUFFER = (1 << 14), /* Not really an effect but a feature */ } EEVEE_EffectsFlag; typedef struct EEVEE_EffectsInfo { - EEVEE_EffectsFlag enabled_effects; - bool swap_double_buffer; - /* SSSS */ - int sss_sample_count; - bool sss_separate_albedo; - struct GPUTexture *sss_data; /* Textures from pool */ - struct GPUTexture *sss_albedo; - struct GPUTexture *sss_blur; - struct GPUTexture *sss_stencil; - /* Volumetrics */ - int volume_current_sample; - /* SSR */ - bool reflection_trace_full; - bool ssr_was_persp; - int ssr_neighbor_ofs; - int ssr_halfres_ofs[2]; - struct GPUTexture *ssr_normal_input; /* Textures from pool */ - struct GPUTexture *ssr_specrough_input; - struct GPUTexture *ssr_hit_output; - struct GPUTexture *ssr_pdf_output; - /* Temporal Anti Aliasing */ - int taa_reproject_sample; - int taa_current_sample; - int taa_render_sample; - int taa_total_sample; - float taa_alpha; - bool prev_drw_support; - float prev_drw_persmat[4][4]; - float overide_persmat[4][4]; - float overide_persinv[4][4]; - float overide_winmat[4][4]; - float overide_wininv[4][4]; - /* Ambient Occlusion */ - int ao_depth_layer; - struct GPUTexture *ao_src_depth; /* pointer copy */ - struct GPUTexture *gtao_horizons; /* Textures from pool */ - struct GPUTexture *gtao_horizons_debug; - /* Motion Blur */ - float current_world_to_ndc[4][4]; - float current_ndc_to_world[4][4]; - float past_world_to_ndc[4][4]; - int motion_blur_samples; - bool motion_blur_mat_cached; - /* Velocity Pass */ - float velocity_curr_persinv[4][4]; - float velocity_past_persmat[4][4]; - struct GPUTexture *velocity_tx; /* Texture from pool */ - /* Depth Of Field */ - float dof_near_far[2]; - float dof_params[2]; - float dof_bokeh[4]; - float dof_bokeh_sides[4]; - int dof_target_size[2]; - struct GPUTexture *dof_down_near; /* Textures from pool */ - struct GPUTexture *dof_down_far; - struct GPUTexture *dof_coc; - struct GPUTexture *dof_blur; - struct GPUTexture *dof_blur_alpha; - /* Other */ - float prev_persmat[4][4]; - /* Bloom */ - int bloom_iteration_len; - float source_texel_size[2]; - float blit_texel_size[2]; - float downsamp_texel_size[MAX_BLOOM_STEP][2]; - float bloom_color[3]; - float bloom_clamp; - float bloom_sample_scale; - float bloom_curve_threshold[4]; - float unf_source_texel_size[2]; - struct GPUTexture *bloom_blit; /* Textures from pool */ - struct GPUTexture *bloom_downsample[MAX_BLOOM_STEP]; - struct GPUTexture *bloom_upsample[MAX_BLOOM_STEP - 1]; - struct GPUTexture *unf_source_buffer; /* pointer copy */ - struct GPUTexture *unf_base_buffer; /* pointer copy */ - /* Not alloced, just a copy of a *GPUtexture in EEVEE_TextureList. */ - struct GPUTexture *source_buffer; /* latest updated texture */ - struct GPUFrameBuffer *target_buffer; /* next target to render to */ - struct GPUTexture *final_tx; /* Final color to transform to display color space. */ - struct GPUFrameBuffer *final_fb; /* Framebuffer with final_tx as attachement. */ + EEVEE_EffectsFlag enabled_effects; + bool swap_double_buffer; + /* SSSS */ + int sss_sample_count; + bool sss_separate_albedo; + struct GPUTexture *sss_data; /* Textures from pool */ + struct GPUTexture *sss_albedo; + struct GPUTexture *sss_blur; + struct GPUTexture *sss_stencil; + /* Volumetrics */ + int volume_current_sample; + /* SSR */ + bool reflection_trace_full; + bool ssr_was_persp; + int ssr_neighbor_ofs; + int ssr_halfres_ofs[2]; + struct GPUTexture *ssr_normal_input; /* Textures from pool */ + struct GPUTexture *ssr_specrough_input; + struct GPUTexture *ssr_hit_output; + struct GPUTexture *ssr_pdf_output; + /* Temporal Anti Aliasing */ + int taa_reproject_sample; + int taa_current_sample; + int taa_render_sample; + int taa_total_sample; + float taa_alpha; + bool prev_drw_support; + float prev_drw_persmat[4][4]; + float overide_persmat[4][4]; + float overide_persinv[4][4]; + float overide_winmat[4][4]; + float overide_wininv[4][4]; + /* Ambient Occlusion */ + int ao_depth_layer; + struct GPUTexture *ao_src_depth; /* pointer copy */ + struct GPUTexture *gtao_horizons; /* Textures from pool */ + struct GPUTexture *gtao_horizons_debug; + /* Motion Blur */ + float current_world_to_ndc[4][4]; + float current_ndc_to_world[4][4]; + float past_world_to_ndc[4][4]; + int motion_blur_samples; + bool motion_blur_mat_cached; + /* Velocity Pass */ + float velocity_curr_persinv[4][4]; + float velocity_past_persmat[4][4]; + struct GPUTexture *velocity_tx; /* Texture from pool */ + /* Depth Of Field */ + float dof_near_far[2]; + float dof_params[2]; + float dof_bokeh[4]; + float dof_bokeh_sides[4]; + int dof_target_size[2]; + struct GPUTexture *dof_down_near; /* Textures from pool */ + struct GPUTexture *dof_down_far; + struct GPUTexture *dof_coc; + struct GPUTexture *dof_blur; + struct GPUTexture *dof_blur_alpha; + /* Other */ + float prev_persmat[4][4]; + /* Bloom */ + int bloom_iteration_len; + float source_texel_size[2]; + float blit_texel_size[2]; + float downsamp_texel_size[MAX_BLOOM_STEP][2]; + float bloom_color[3]; + float bloom_clamp; + float bloom_sample_scale; + float bloom_curve_threshold[4]; + float unf_source_texel_size[2]; + struct GPUTexture *bloom_blit; /* Textures from pool */ + struct GPUTexture *bloom_downsample[MAX_BLOOM_STEP]; + struct GPUTexture *bloom_upsample[MAX_BLOOM_STEP - 1]; + struct GPUTexture *unf_source_buffer; /* pointer copy */ + struct GPUTexture *unf_base_buffer; /* pointer copy */ + /* Not alloced, just a copy of a *GPUtexture in EEVEE_TextureList. */ + struct GPUTexture *source_buffer; /* latest updated texture */ + struct GPUFrameBuffer *target_buffer; /* next target to render to */ + struct GPUTexture *final_tx; /* Final color to transform to display color space. */ + struct GPUFrameBuffer *final_fb; /* Framebuffer with final_tx as attachement. */ } EEVEE_EffectsInfo; /* ***************** COMMON DATA **************** */ @@ -619,215 +631,215 @@ typedef struct EEVEE_EffectsInfo { * - Arrays of vec2/vec3 are padded as arrays of vec4. * - sizeof(bool) == sizeof(int) in GLSL so use int in C */ typedef struct EEVEE_CommonUniformBuffer { - float prev_persmat[4][4]; /* mat4 */ - float view_vecs[2][4]; /* vec4[2] */ - float mip_ratio[10][4]; /* vec2[10] */ - /* Ambient Occlusion */ - /* -- 16 byte aligned -- */ - float ao_dist, pad1, ao_factor, pad2; /* vec4 */ - float ao_offset, ao_bounce_fac, ao_quality, ao_settings; /* vec4 */ - /* Volumetric */ - /* -- 16 byte aligned -- */ - int vol_tex_size[3], pad3; /* ivec3 */ - float vol_depth_param[3], pad4; /* vec3 */ - float vol_inv_tex_size[3], pad5; /* vec3 */ - float vol_jitter[3], pad6; /* vec3 */ - float vol_coord_scale[2], pad7[2]; /* vec2 */ - /* -- 16 byte aligned -- */ - float vol_history_alpha; /* float */ - float vol_light_clamp; /* float */ - float vol_shadow_steps; /* float */ - int vol_use_lights; /* bool */ - /* Screen Space Reflections */ - /* -- 16 byte aligned -- */ - float ssr_quality, ssr_thickness, ssr_pixelsize[2]; /* vec4 */ - float ssr_border_fac; /* float */ - float ssr_max_roughness; /* float */ - float ssr_firefly_fac; /* float */ - float ssr_brdf_bias; /* float */ - int ssr_toggle; /* bool */ - /* SubSurface Scattering */ - float sss_jitter_threshold; /* float */ - int sss_toggle; /* bool */ - /* Specular */ - int spec_toggle; /* bool */ - /* Lights */ - int la_num_light; /* int */ - /* Probes */ - int prb_num_planar; /* int */ - int prb_num_render_cube; /* int */ - int prb_num_render_grid; /* int */ - int prb_irradiance_vis_size; /* int */ - float prb_irradiance_smooth; /* float */ - float prb_lod_cube_max; /* float */ - float prb_lod_planar_max; /* float */ - /* Misc */ - int hiz_mip_offset; /* int */ - int ray_type; /* int */ - float ray_depth; /* float */ + float prev_persmat[4][4]; /* mat4 */ + float view_vecs[2][4]; /* vec4[2] */ + float mip_ratio[10][4]; /* vec2[10] */ + /* Ambient Occlusion */ + /* -- 16 byte aligned -- */ + float ao_dist, pad1, ao_factor, pad2; /* vec4 */ + float ao_offset, ao_bounce_fac, ao_quality, ao_settings; /* vec4 */ + /* Volumetric */ + /* -- 16 byte aligned -- */ + int vol_tex_size[3], pad3; /* ivec3 */ + float vol_depth_param[3], pad4; /* vec3 */ + float vol_inv_tex_size[3], pad5; /* vec3 */ + float vol_jitter[3], pad6; /* vec3 */ + float vol_coord_scale[2], pad7[2]; /* vec2 */ + /* -- 16 byte aligned -- */ + float vol_history_alpha; /* float */ + float vol_light_clamp; /* float */ + float vol_shadow_steps; /* float */ + int vol_use_lights; /* bool */ + /* Screen Space Reflections */ + /* -- 16 byte aligned -- */ + float ssr_quality, ssr_thickness, ssr_pixelsize[2]; /* vec4 */ + float ssr_border_fac; /* float */ + float ssr_max_roughness; /* float */ + float ssr_firefly_fac; /* float */ + float ssr_brdf_bias; /* float */ + int ssr_toggle; /* bool */ + /* SubSurface Scattering */ + float sss_jitter_threshold; /* float */ + int sss_toggle; /* bool */ + /* Specular */ + int spec_toggle; /* bool */ + /* Lights */ + int la_num_light; /* int */ + /* Probes */ + int prb_num_planar; /* int */ + int prb_num_render_cube; /* int */ + int prb_num_render_grid; /* int */ + int prb_irradiance_vis_size; /* int */ + float prb_irradiance_smooth; /* float */ + float prb_lod_cube_max; /* float */ + float prb_lod_planar_max; /* float */ + /* Misc */ + int hiz_mip_offset; /* int */ + int ray_type; /* int */ + float ray_depth; /* float */ } EEVEE_CommonUniformBuffer; /* ray_type (keep in sync with rayType) */ -#define EEVEE_RAY_CAMERA 0 -#define EEVEE_RAY_SHADOW 1 -#define EEVEE_RAY_DIFFUSE 2 -#define EEVEE_RAY_GLOSSY 3 +#define EEVEE_RAY_CAMERA 0 +#define EEVEE_RAY_SHADOW 1 +#define EEVEE_RAY_DIFFUSE 2 +#define EEVEE_RAY_GLOSSY 3 /* ***************** CLIP PLANES DATA **************** */ typedef struct EEVEE_ClipPlanesUniformBuffer { - float clip_planes[1][4]; /* must be less than MAX_CLIP_PLANES */ + float clip_planes[1][4]; /* must be less than MAX_CLIP_PLANES */ } EEVEE_ClipPlanesUniformBuffer; /* ************** SCENE LAYER DATA ************** */ typedef struct EEVEE_ViewLayerData { - /* Lights */ - struct EEVEE_LightsInfo *lights; + /* Lights */ + struct EEVEE_LightsInfo *lights; - struct GPUUniformBuffer *light_ubo; - struct GPUUniformBuffer *shadow_ubo; - struct GPUUniformBuffer *shadow_render_ubo; - struct GPUUniformBuffer *shadow_samples_ubo; + struct GPUUniformBuffer *light_ubo; + struct GPUUniformBuffer *shadow_ubo; + struct GPUUniformBuffer *shadow_render_ubo; + struct GPUUniformBuffer *shadow_samples_ubo; - struct GPUFrameBuffer *shadow_cube_target_fb; - struct GPUFrameBuffer *shadow_cube_store_fb; - struct GPUFrameBuffer *shadow_cascade_target_fb; - struct GPUFrameBuffer *shadow_cascade_store_fb; + struct GPUFrameBuffer *shadow_cube_target_fb; + struct GPUFrameBuffer *shadow_cube_store_fb; + struct GPUFrameBuffer *shadow_cascade_target_fb; + struct GPUFrameBuffer *shadow_cascade_store_fb; - struct GPUTexture *shadow_cube_target; - struct GPUTexture *shadow_cube_blur; - struct GPUTexture *shadow_cascade_target; - struct GPUTexture *shadow_cascade_blur; - struct GPUTexture *shadow_cube_pool; - struct GPUTexture *shadow_cascade_pool; + struct GPUTexture *shadow_cube_target; + struct GPUTexture *shadow_cube_blur; + struct GPUTexture *shadow_cascade_target; + struct GPUTexture *shadow_cascade_blur; + struct GPUTexture *shadow_cube_pool; + struct GPUTexture *shadow_cascade_pool; - struct EEVEE_ShadowCasterBuffer shcasters_buffers[2]; + struct EEVEE_ShadowCasterBuffer shcasters_buffers[2]; - /* Probes */ - struct EEVEE_LightProbesInfo *probes; + /* Probes */ + struct EEVEE_LightProbesInfo *probes; - struct GPUUniformBuffer *probe_ubo; - struct GPUUniformBuffer *grid_ubo; - struct GPUUniformBuffer *planar_ubo; + struct GPUUniformBuffer *probe_ubo; + struct GPUUniformBuffer *grid_ubo; + struct GPUUniformBuffer *planar_ubo; - /* Common Uniform Buffer */ - struct EEVEE_CommonUniformBuffer common_data; - struct GPUUniformBuffer *common_ubo; + /* Common Uniform Buffer */ + struct EEVEE_CommonUniformBuffer common_data; + struct GPUUniformBuffer *common_ubo; - struct EEVEE_ClipPlanesUniformBuffer clip_data; - struct GPUUniformBuffer *clip_ubo; + struct EEVEE_ClipPlanesUniformBuffer clip_data; + struct GPUUniformBuffer *clip_ubo; - struct LightCache *fallback_lightcache; + struct LightCache *fallback_lightcache; } EEVEE_ViewLayerData; /* ************ OBJECT DATA ************ */ typedef struct EEVEE_LightData { - short light_id, shadow_id; + short light_id, shadow_id; } EEVEE_LightData; typedef struct EEVEE_ShadowCubeData { - short light_id, shadow_id, cube_id, layer_id; + short light_id, shadow_id, cube_id, layer_id; } EEVEE_ShadowCubeData; typedef struct EEVEE_ShadowCascadeData { - short light_id, shadow_id, cascade_id, layer_id; - /* World->Light->NDC : used for rendering the shadow map. */ - float viewprojmat[MAX_CASCADE_NUM][4][4]; - float projmat[MAX_CASCADE_NUM][4][4]; - float viewmat[4][4], viewinv[4][4]; - float radius[MAX_CASCADE_NUM]; + short light_id, shadow_id, cascade_id, layer_id; + /* World->Light->NDC : used for rendering the shadow map. */ + float viewprojmat[MAX_CASCADE_NUM][4][4]; + float projmat[MAX_CASCADE_NUM][4][4]; + float viewmat[4][4], viewinv[4][4]; + float radius[MAX_CASCADE_NUM]; } EEVEE_ShadowCascadeData; /* Theses are the structs stored inside Objects. * It works with even if the object is in multiple layers * because we don't get the same "Object *" for each layer. */ typedef struct EEVEE_LightEngineData { - DrawData dd; - - bool need_update; - /* This needs to be out of the union to avoid undefined behavior. */ - short prev_cube_shadow_id; - union { - struct EEVEE_LightData ld; - struct EEVEE_ShadowCubeData scd; - struct EEVEE_ShadowCascadeData scad; - } data; + DrawData dd; + + bool need_update; + /* This needs to be out of the union to avoid undefined behavior. */ + short prev_cube_shadow_id; + union { + struct EEVEE_LightData ld; + struct EEVEE_ShadowCubeData scd; + struct EEVEE_ShadowCascadeData scad; + } data; } EEVEE_LightEngineData; typedef struct EEVEE_LightProbeEngineData { - DrawData dd; + DrawData dd; - bool need_update; + bool need_update; } EEVEE_LightProbeEngineData; typedef struct EEVEE_ObjectEngineData { - DrawData dd; + DrawData dd; - Object *ob; /* self reference */ - EEVEE_LightProbeVisTest *test_data; - bool ob_vis, ob_vis_dirty; + Object *ob; /* self reference */ + EEVEE_LightProbeVisTest *test_data; + bool ob_vis, ob_vis_dirty; - bool need_update; - uint shadow_caster_id; + bool need_update; + uint shadow_caster_id; } EEVEE_ObjectEngineData; typedef struct EEVEE_WorldEngineData { - DrawData dd; + DrawData dd; } EEVEE_WorldEngineData; /* *********************************** */ typedef struct EEVEE_Data { - void *engine_type; - EEVEE_FramebufferList *fbl; - EEVEE_TextureList *txl; - EEVEE_PassList *psl; - EEVEE_StorageList *stl; + void *engine_type; + EEVEE_FramebufferList *fbl; + EEVEE_TextureList *txl; + EEVEE_PassList *psl; + EEVEE_StorageList *stl; } EEVEE_Data; typedef struct EEVEE_PrivateData { - struct DRWShadingGroup *shadow_shgrp; - struct DRWShadingGroup *depth_shgrp; - struct DRWShadingGroup *depth_shgrp_cull; - struct DRWShadingGroup *depth_shgrp_clip; - struct DRWShadingGroup *depth_shgrp_clip_cull; - struct DRWShadingGroup *refract_depth_shgrp; - struct DRWShadingGroup *refract_depth_shgrp_cull; - struct DRWShadingGroup *refract_depth_shgrp_clip; - struct DRWShadingGroup *refract_depth_shgrp_clip_cull; - struct DRWShadingGroup *cube_display_shgrp; - struct DRWShadingGroup *planar_display_shgrp; - struct GHash *material_hash; - float background_alpha; /* TODO find a better place for this. */ - /* Chosen lightcache: can come from Lookdev or the viewlayer. */ - struct LightCache *light_cache; - /* For planar probes */ - float planar_texel_size[2]; - /* For double buffering */ - bool view_updated; - bool valid_double_buffer; - bool valid_taa_history; - /* Render Matrices */ - float persmat[4][4], persinv[4][4]; - float viewmat[4][4], viewinv[4][4]; - float winmat[4][4], wininv[4][4]; - float studiolight_matrix[3][3]; - float overscan, overscan_pixels; - float size_orig[2]; - - /* Mist Settings */ - float mist_start, mist_inv_dist, mist_falloff; - - /* Color Management */ - bool use_color_render_settings; - - /* LookDev Settings */ - int studiolight_index; - float studiolight_rot_z; - int studiolight_cubemap_res; - float studiolight_glossy_clamp; - float studiolight_filter_quality; + struct DRWShadingGroup *shadow_shgrp; + struct DRWShadingGroup *depth_shgrp; + struct DRWShadingGroup *depth_shgrp_cull; + struct DRWShadingGroup *depth_shgrp_clip; + struct DRWShadingGroup *depth_shgrp_clip_cull; + struct DRWShadingGroup *refract_depth_shgrp; + struct DRWShadingGroup *refract_depth_shgrp_cull; + struct DRWShadingGroup *refract_depth_shgrp_clip; + struct DRWShadingGroup *refract_depth_shgrp_clip_cull; + struct DRWShadingGroup *cube_display_shgrp; + struct DRWShadingGroup *planar_display_shgrp; + struct GHash *material_hash; + float background_alpha; /* TODO find a better place for this. */ + /* Chosen lightcache: can come from Lookdev or the viewlayer. */ + struct LightCache *light_cache; + /* For planar probes */ + float planar_texel_size[2]; + /* For double buffering */ + bool view_updated; + bool valid_double_buffer; + bool valid_taa_history; + /* Render Matrices */ + float persmat[4][4], persinv[4][4]; + float viewmat[4][4], viewinv[4][4]; + float winmat[4][4], wininv[4][4]; + float studiolight_matrix[3][3]; + float overscan, overscan_pixels; + float size_orig[2]; + + /* Mist Settings */ + float mist_start, mist_inv_dist, mist_falloff; + + /* Color Management */ + bool use_color_render_settings; + + /* LookDev Settings */ + int studiolight_index; + float studiolight_rot_z; + int studiolight_cubemap_res; + float studiolight_glossy_clamp; + float studiolight_filter_quality; } EEVEE_PrivateData; /* Transient data */ @@ -847,21 +859,36 @@ EEVEE_WorldEngineData *EEVEE_world_data_ensure(World *wo); /* eevee_materials.c */ struct GPUTexture *EEVEE_materials_get_util_tex(void); /* XXX */ -void EEVEE_materials_init(EEVEE_ViewLayerData *sldata, EEVEE_StorageList *stl, EEVEE_FramebufferList *fbl); +void EEVEE_materials_init(EEVEE_ViewLayerData *sldata, + EEVEE_StorageList *stl, + EEVEE_FramebufferList *fbl); void EEVEE_materials_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); -void EEVEE_materials_cache_populate(EEVEE_Data *vedata, EEVEE_ViewLayerData *sldata, Object *ob, bool *cast_shadow); -void EEVEE_hair_cache_populate(EEVEE_Data *vedata, EEVEE_ViewLayerData *sldata, Object *ob, bool *cast_shadow); +void EEVEE_materials_cache_populate(EEVEE_Data *vedata, + EEVEE_ViewLayerData *sldata, + Object *ob, + bool *cast_shadow); +void EEVEE_hair_cache_populate(EEVEE_Data *vedata, + EEVEE_ViewLayerData *sldata, + Object *ob, + bool *cast_shadow); void EEVEE_materials_cache_finish(EEVEE_Data *vedata); struct GPUMaterial *EEVEE_material_world_lightprobe_get(struct Scene *scene, struct World *wo); struct GPUMaterial *EEVEE_material_world_background_get(struct Scene *scene, struct World *wo); struct GPUMaterial *EEVEE_material_world_volume_get(struct Scene *scene, struct World *wo); -struct GPUMaterial *EEVEE_material_mesh_get( - struct Scene *scene, Material *ma, EEVEE_Data *vedata, - bool use_blend, bool use_multiply, bool use_refract, bool use_sss, bool use_translucency, int shadow_method); -struct GPUMaterial *EEVEE_material_mesh_volume_get( - struct Scene *scene, Material *ma); -struct GPUMaterial *EEVEE_material_mesh_depth_get( - struct Scene *scene, Material *ma, bool use_hashed_alpha, bool is_shadow); +struct GPUMaterial *EEVEE_material_mesh_get(struct Scene *scene, + Material *ma, + EEVEE_Data *vedata, + bool use_blend, + bool use_multiply, + bool use_refract, + bool use_sss, + bool use_translucency, + int shadow_method); +struct GPUMaterial *EEVEE_material_mesh_volume_get(struct Scene *scene, Material *ma); +struct GPUMaterial *EEVEE_material_mesh_depth_get(struct Scene *scene, + Material *ma, + bool use_hashed_alpha, + bool is_shadow); struct GPUMaterial *EEVEE_material_hair_get(struct Scene *scene, Material *ma, int shadow_method); void EEVEE_materials_free(void); void EEVEE_draw_default_passes(EEVEE_PassList *psl); @@ -872,19 +899,22 @@ void EEVEE_update_viewvecs(float invproj[4][4], float winmat[4][4], float (*r_vi void EEVEE_lights_init(EEVEE_ViewLayerData *sldata); void EEVEE_lights_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_lights_cache_add(EEVEE_ViewLayerData *sldata, struct Object *ob); -void EEVEE_lights_cache_shcaster_add( - EEVEE_ViewLayerData *sldata, EEVEE_StorageList *stl, struct GPUBatch *geom, Object *ob); -void EEVEE_lights_cache_shcaster_material_add( - EEVEE_ViewLayerData *sldata, EEVEE_PassList *psl, - struct GPUMaterial *gpumat, struct GPUBatch *geom, struct Object *ob, - float *alpha_threshold); +void EEVEE_lights_cache_shcaster_add(EEVEE_ViewLayerData *sldata, + EEVEE_StorageList *stl, + struct GPUBatch *geom, + Object *ob); +void EEVEE_lights_cache_shcaster_material_add(EEVEE_ViewLayerData *sldata, + EEVEE_PassList *psl, + struct GPUMaterial *gpumat, + struct GPUBatch *geom, + struct Object *ob, + float *alpha_threshold); void EEVEE_lights_cache_shcaster_object_add(EEVEE_ViewLayerData *sldata, struct Object *ob); void EEVEE_lights_cache_finish(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_lights_update(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_draw_shadows(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_lights_free(void); - /* eevee_shaders.c */ void EEVEE_shaders_lightprobe_shaders_init(void); struct GPUShader *EEVEE_shaders_probe_filter_glossy_sh_get(void); @@ -911,25 +941,50 @@ void EEVEE_lightprobes_refresh(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_lightprobes_refresh_planar(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_lightprobes_free(void); -void EEVEE_lightbake_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, GPUTexture *rt_color, GPUTexture *rt_depth); -void EEVEE_lightbake_render_world( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUFrameBuffer *face_fb[6]); -void EEVEE_lightbake_render_scene( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUFrameBuffer *face_fb[6], - const float pos[3], float near_clip, float far_clip); -void EEVEE_lightbake_filter_glossy( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUTexture *rt_color, struct GPUFrameBuffer *fb, - int probe_idx, float intensity, int maxlevel, float filter_quality, float firefly_fac); -void EEVEE_lightbake_filter_diffuse( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUTexture *rt_color, struct GPUFrameBuffer *fb, - int grid_offset, float intensity); -void EEVEE_lightbake_filter_visibility( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUTexture *rt_depth, struct GPUFrameBuffer *fb, - int grid_offset, float clipsta, float clipend, float vis_range, float vis_blur, int vis_size); +void EEVEE_lightbake_cache_init(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + GPUTexture *rt_color, + GPUTexture *rt_depth); +void EEVEE_lightbake_render_world(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUFrameBuffer *face_fb[6]); +void EEVEE_lightbake_render_scene(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUFrameBuffer *face_fb[6], + const float pos[3], + float near_clip, + float far_clip); +void EEVEE_lightbake_filter_glossy(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *rt_color, + struct GPUFrameBuffer *fb, + int probe_idx, + float intensity, + int maxlevel, + float filter_quality, + float firefly_fac); +void EEVEE_lightbake_filter_diffuse(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *rt_color, + struct GPUFrameBuffer *fb, + int grid_offset, + float intensity); +void EEVEE_lightbake_filter_visibility(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *rt_depth, + struct GPUFrameBuffer *fb, + int grid_offset, + float clipsta, + float clipend, + float vis_range, + float vis_blur, + int vis_size); void EEVEE_lightprobes_grid_data_from_object(Object *ob, EEVEE_LightGrid *prb_data, int *offset); void EEVEE_lightprobes_cube_data_from_object(Object *ob, EEVEE_LightProbe *prb_data); -void EEVEE_lightprobes_planar_data_from_object(Object *ob, EEVEE_PlanarReflection *eplanar, EEVEE_LightProbeVisTest *vis_test); +void EEVEE_lightprobes_planar_data_from_object(Object *ob, + EEVEE_PlanarReflection *eplanar, + EEVEE_LightProbeVisTest *vis_test); /* eevee_depth_of_field.c */ int EEVEE_depth_of_field_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, Object *camera); @@ -948,7 +1003,10 @@ int EEVEE_occlusion_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_occlusion_output_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_occlusion_output_accumulate(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_occlusion_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); -void EEVEE_occlusion_compute(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct GPUTexture *depth_src, int layer); +void EEVEE_occlusion_compute(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct GPUTexture *depth_src, + int layer); void EEVEE_occlusion_draw_debug(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_occlusion_free(void); @@ -963,8 +1021,10 @@ void EEVEE_screen_raytrace_free(void); int EEVEE_subsurface_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_subsurface_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_subsurface_output_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); -void EEVEE_subsurface_add_pass( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, uint sss_id, struct GPUUniformBuffer *sss_profile); +void EEVEE_subsurface_add_pass(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + uint sss_id, + struct GPUUniformBuffer *sss_profile); void EEVEE_subsurface_data_render(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_subsurface_compute(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_subsurface_output_accumulate(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); @@ -984,8 +1044,10 @@ void EEVEE_mist_free(void); /* eevee_temporal_sampling.c */ void EEVEE_temporal_sampling_reset(EEVEE_Data *vedata); int EEVEE_temporal_sampling_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); -void EEVEE_temporal_sampling_matrices_calc( - EEVEE_EffectsInfo *effects, float viewmat[4][4], float persmat[4][4], const double ht_point[2]); +void EEVEE_temporal_sampling_matrices_calc(EEVEE_EffectsInfo *effects, + float viewmat[4][4], + float persmat[4][4], + const double ht_point[2]); void EEVEE_temporal_sampling_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_temporal_sampling_draw(EEVEE_Data *vedata); @@ -993,14 +1055,20 @@ void EEVEE_temporal_sampling_draw(EEVEE_Data *vedata); int EEVEE_volumes_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_volumes_set_jitter(EEVEE_ViewLayerData *sldata, uint current_sample); void EEVEE_volumes_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); -void EEVEE_volumes_cache_object_add(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, struct Scene *scene, Object *ob); +void EEVEE_volumes_cache_object_add(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + struct Scene *scene, + Object *ob); void EEVEE_volumes_compute(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_volumes_resolve(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_volumes_free_smoke_textures(void); void EEVEE_volumes_free(void); /* eevee_effects.c */ -void EEVEE_effects_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, Object *camera, const bool minimal); +void EEVEE_effects_init(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + Object *camera, + const bool minimal); void EEVEE_effects_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_create_minmax_buffer(EEVEE_Data *vedata, struct GPUTexture *depth_src, int layer); void EEVEE_downsample_buffer(EEVEE_Data *vedata, struct GPUTexture *texture_src, int level); @@ -1009,60 +1077,74 @@ void EEVEE_draw_effects(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata); void EEVEE_effects_free(void); /* eevee_render.c */ -void EEVEE_render_init(EEVEE_Data *vedata, struct RenderEngine *engine, struct Depsgraph *depsgraph); -void EEVEE_render_cache(void *vedata, struct Object *ob, struct RenderEngine *engine, struct Depsgraph *depsgraph); -void EEVEE_render_draw(EEVEE_Data *vedata, struct RenderEngine *engine, struct RenderLayer *render_layer, const struct rcti *rect); -void EEVEE_render_update_passes(struct RenderEngine *engine, struct Scene *scene, struct ViewLayer *view_layer); +void EEVEE_render_init(EEVEE_Data *vedata, + struct RenderEngine *engine, + struct Depsgraph *depsgraph); +void EEVEE_render_cache(void *vedata, + struct Object *ob, + struct RenderEngine *engine, + struct Depsgraph *depsgraph); +void EEVEE_render_draw(EEVEE_Data *vedata, + struct RenderEngine *engine, + struct RenderLayer *render_layer, + const struct rcti *rect); +void EEVEE_render_update_passes(struct RenderEngine *engine, + struct Scene *scene, + struct ViewLayer *view_layer); /** eevee_lookdev.c */ -void EEVEE_lookdev_cache_init( - EEVEE_Data *vedata, DRWShadingGroup **grp, DRWPass *pass, float background_alpha, - struct World *world, EEVEE_LightProbesInfo *pinfo); +void EEVEE_lookdev_cache_init(EEVEE_Data *vedata, + DRWShadingGroup **grp, + DRWPass *pass, + float background_alpha, + struct World *world, + EEVEE_LightProbesInfo *pinfo); void EEVEE_lookdev_draw_background(EEVEE_Data *vedata); /** eevee_engine.c */ void EEVEE_cache_populate(void *vedata, Object *ob); /* Shadow Matrix */ -static const float texcomat[4][4] = { /* From NDC to TexCo */ - {0.5f, 0.0f, 0.0f, 0.0f}, - {0.0f, 0.5f, 0.0f, 0.0f}, - {0.0f, 0.0f, 0.5f, 0.0f}, - {0.5f, 0.5f, 0.5f, 1.0f}, +static const float texcomat[4][4] = { + /* From NDC to TexCo */ + {0.5f, 0.0f, 0.0f, 0.0f}, + {0.0f, 0.5f, 0.0f, 0.0f}, + {0.0f, 0.0f, 0.5f, 0.0f}, + {0.5f, 0.5f, 0.5f, 1.0f}, }; /* Cubemap Matrices */ static const float cubefacemat[6][4][4] = { - /* Pos X */ - {{0.0f, 0.0f, -1.0f, 0.0f}, - {0.0f, -1.0f, 0.0f, 0.0f}, - {-1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, - /* Neg X */ - {{0.0f, 0.0f, 1.0f, 0.0f}, - {0.0f, -1.0f, 0.0f, 0.0f}, - {1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, - /* Pos Y */ - {{1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, -1.0f, 0.0f}, - {0.0f, 1.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, - /* Neg Y */ - {{1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 1.0f, 0.0f}, - {0.0f, -1.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, - /* Pos Z */ - {{1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, -1.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, -1.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, - /* Neg Z */ - {{-1.0f, 0.0f, 0.0f, 0.0f}, - {0.0f, -1.0f, 0.0f, 0.0f}, - {0.0f, 0.0f, 1.0f, 0.0f}, - {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Pos X */ + {{0.0f, 0.0f, -1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f, 0.0f}, + {-1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Neg X */ + {{0.0f, 0.0f, 1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f, 0.0f}, + {1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Pos Y */ + {{1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, -1.0f, 0.0f}, + {0.0f, 1.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Neg Y */ + {{1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Pos Z */ + {{1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, -1.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, -1.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, + /* Neg Z */ + {{-1.0f, 0.0f, 0.0f, 0.0f}, + {0.0f, -1.0f, 0.0f, 0.0f}, + {0.0f, 0.0f, 1.0f, 0.0f}, + {0.0f, 0.0f, 0.0f, 1.0f}}, }; #endif /* __EEVEE_PRIVATE_H__ */ diff --git a/source/blender/draw/engines/eevee/eevee_render.c b/source/blender/draw/engines/eevee/eevee_render.c index e563fa8b9ce..961fe103251 100644 --- a/source/blender/draw/engines/eevee/eevee_render.c +++ b/source/blender/draw/engines/eevee/eevee_render.c @@ -46,584 +46,610 @@ void EEVEE_render_init(EEVEE_Data *ved, RenderEngine *engine, struct Depsgraph *depsgraph) { - EEVEE_Data *vedata = (EEVEE_Data *)ved; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - Scene *scene = DEG_get_evaluated_scene(depsgraph); - const float *size_orig = DRW_viewport_size_get(); - - /* Init default FB and render targets: - * In render mode the default framebuffer is not generated - * because there is no viewport. So we need to manually create it or - * not use it. For code clarity we just allocate it make use of it. */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - /* Alloc transient data. */ - if (!stl->g_data) { - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - EEVEE_PrivateData *g_data = stl->g_data; - g_data->background_alpha = DRW_state_draw_background() ? 1.0f : 0.0f; - g_data->valid_double_buffer = 0; - copy_v2_v2(g_data->size_orig, size_orig); - - if (scene->eevee.flag & SCE_EEVEE_OVERSCAN) { - g_data->overscan = scene->eevee.overscan / 100.0f; - g_data->overscan_pixels = roundf(max_ff(size_orig[0], size_orig[1]) * g_data->overscan); - } - else { - g_data->overscan = 0.0f; - g_data->overscan_pixels = 0.0f; - } - - /* XXX overiding viewport size. Simplify things but is not really 100% safe. */ - DRW_render_viewport_size_set((int[2]){size_orig[0] + g_data->overscan_pixels * 2.0f, - size_orig[1] + g_data->overscan_pixels * 2.0f}); - - /* TODO 32 bit depth */ - DRW_texture_ensure_fullscreen_2d(&dtxl->depth, GPU_DEPTH24_STENCIL8, 0); - DRW_texture_ensure_fullscreen_2d(&txl->color, GPU_RGBA32F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); - - GPU_framebuffer_ensure_config(&dfbl->default_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(txl->color) - }); - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(txl->color) - }); - GPU_framebuffer_ensure_config(&fbl->main_color_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->color) - }); - - /* Alloc common ubo data. */ - if (sldata->common_ubo == NULL) { - sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), &sldata->common_data); - } - if (sldata->clip_ubo == NULL) { - sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); - } - - /* Set the pers & view matrix. */ - /* TODO(sergey): Shall render hold pointer to an evaluated camera instead? */ - struct Object *ob_camera_eval = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); - float frame = BKE_scene_frame_get(scene); - RE_GetCameraWindow(engine->re, ob_camera_eval, frame, g_data->winmat); - RE_GetCameraModelMatrix(engine->re, ob_camera_eval, g_data->viewinv); - - RE_GetCameraWindowWithOverscan(engine->re, g_data->winmat, g_data->overscan); - - invert_m4_m4(g_data->viewmat, g_data->viewinv); - mul_m4_m4m4(g_data->persmat, g_data->winmat, g_data->viewmat); - invert_m4_m4(g_data->persinv, g_data->persmat); - invert_m4_m4(g_data->wininv, g_data->winmat); - - DRW_viewport_matrix_override_set(g_data->persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(g_data->persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(g_data->winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(g_data->wininv, DRW_MAT_WININV); - DRW_viewport_matrix_override_set(g_data->viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_override_set(g_data->viewinv, DRW_MAT_VIEWINV); - - /* EEVEE_effects_init needs to go first for TAA */ - EEVEE_effects_init(sldata, vedata, ob_camera_eval, false); - EEVEE_materials_init(sldata, stl, fbl); - EEVEE_lights_init(sldata); - EEVEE_lightprobes_init(sldata, vedata); - - /* INIT CACHE */ - EEVEE_bloom_cache_init(sldata, vedata); - EEVEE_depth_of_field_cache_init(sldata, vedata); - EEVEE_effects_cache_init(sldata, vedata); - EEVEE_lightprobes_cache_init(sldata, vedata); - EEVEE_lights_cache_init(sldata, vedata); - EEVEE_materials_cache_init(sldata, vedata); - EEVEE_motion_blur_cache_init(sldata, vedata); - EEVEE_occlusion_cache_init(sldata, vedata); - EEVEE_screen_raytrace_cache_init(sldata, vedata); - EEVEE_subsurface_cache_init(sldata, vedata); - EEVEE_temporal_sampling_cache_init(sldata, vedata); - EEVEE_volumes_cache_init(sldata, vedata); + EEVEE_Data *vedata = (EEVEE_Data *)ved; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + Scene *scene = DEG_get_evaluated_scene(depsgraph); + const float *size_orig = DRW_viewport_size_get(); + + /* Init default FB and render targets: + * In render mode the default framebuffer is not generated + * because there is no viewport. So we need to manually create it or + * not use it. For code clarity we just allocate it make use of it. */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + /* Alloc transient data. */ + if (!stl->g_data) { + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + EEVEE_PrivateData *g_data = stl->g_data; + g_data->background_alpha = DRW_state_draw_background() ? 1.0f : 0.0f; + g_data->valid_double_buffer = 0; + copy_v2_v2(g_data->size_orig, size_orig); + + if (scene->eevee.flag & SCE_EEVEE_OVERSCAN) { + g_data->overscan = scene->eevee.overscan / 100.0f; + g_data->overscan_pixels = roundf(max_ff(size_orig[0], size_orig[1]) * g_data->overscan); + } + else { + g_data->overscan = 0.0f; + g_data->overscan_pixels = 0.0f; + } + + /* XXX overiding viewport size. Simplify things but is not really 100% safe. */ + DRW_render_viewport_size_set((int[2]){size_orig[0] + g_data->overscan_pixels * 2.0f, + size_orig[1] + g_data->overscan_pixels * 2.0f}); + + /* TODO 32 bit depth */ + DRW_texture_ensure_fullscreen_2d(&dtxl->depth, GPU_DEPTH24_STENCIL8, 0); + DRW_texture_ensure_fullscreen_2d(&txl->color, GPU_RGBA32F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); + + GPU_framebuffer_ensure_config( + &dfbl->default_fb, + {GPU_ATTACHMENT_TEXTURE(dtxl->depth), GPU_ATTACHMENT_TEXTURE(txl->color)}); + GPU_framebuffer_ensure_config( + &fbl->main_fb, {GPU_ATTACHMENT_TEXTURE(dtxl->depth), GPU_ATTACHMENT_TEXTURE(txl->color)}); + GPU_framebuffer_ensure_config(&fbl->main_color_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->color)}); + + /* Alloc common ubo data. */ + if (sldata->common_ubo == NULL) { + sldata->common_ubo = DRW_uniformbuffer_create(sizeof(sldata->common_data), + &sldata->common_data); + } + if (sldata->clip_ubo == NULL) { + sldata->clip_ubo = DRW_uniformbuffer_create(sizeof(sldata->clip_data), &sldata->clip_data); + } + + /* Set the pers & view matrix. */ + /* TODO(sergey): Shall render hold pointer to an evaluated camera instead? */ + struct Object *ob_camera_eval = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); + float frame = BKE_scene_frame_get(scene); + RE_GetCameraWindow(engine->re, ob_camera_eval, frame, g_data->winmat); + RE_GetCameraModelMatrix(engine->re, ob_camera_eval, g_data->viewinv); + + RE_GetCameraWindowWithOverscan(engine->re, g_data->winmat, g_data->overscan); + + invert_m4_m4(g_data->viewmat, g_data->viewinv); + mul_m4_m4m4(g_data->persmat, g_data->winmat, g_data->viewmat); + invert_m4_m4(g_data->persinv, g_data->persmat); + invert_m4_m4(g_data->wininv, g_data->winmat); + + DRW_viewport_matrix_override_set(g_data->persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(g_data->persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(g_data->winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(g_data->wininv, DRW_MAT_WININV); + DRW_viewport_matrix_override_set(g_data->viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_override_set(g_data->viewinv, DRW_MAT_VIEWINV); + + /* EEVEE_effects_init needs to go first for TAA */ + EEVEE_effects_init(sldata, vedata, ob_camera_eval, false); + EEVEE_materials_init(sldata, stl, fbl); + EEVEE_lights_init(sldata); + EEVEE_lightprobes_init(sldata, vedata); + + /* INIT CACHE */ + EEVEE_bloom_cache_init(sldata, vedata); + EEVEE_depth_of_field_cache_init(sldata, vedata); + EEVEE_effects_cache_init(sldata, vedata); + EEVEE_lightprobes_cache_init(sldata, vedata); + EEVEE_lights_cache_init(sldata, vedata); + EEVEE_materials_cache_init(sldata, vedata); + EEVEE_motion_blur_cache_init(sldata, vedata); + EEVEE_occlusion_cache_init(sldata, vedata); + EEVEE_screen_raytrace_cache_init(sldata, vedata); + EEVEE_subsurface_cache_init(sldata, vedata); + EEVEE_temporal_sampling_cache_init(sldata, vedata); + EEVEE_volumes_cache_init(sldata, vedata); } /* Used by light cache. in this case engine is NULL. */ -void EEVEE_render_cache( - void *vedata, struct Object *ob, - struct RenderEngine *engine, struct Depsgraph *UNUSED(depsgraph)) +void EEVEE_render_cache(void *vedata, + struct Object *ob, + struct RenderEngine *engine, + struct Depsgraph *UNUSED(depsgraph)) { - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_LightProbesInfo *pinfo = sldata->probes; - bool cast_shadow = false; - - if (pinfo->vis_data.collection) { - /* Used for rendering probe with visibility groups. */ - bool ob_vis = BKE_collection_has_object_recursive(pinfo->vis_data.collection, ob); - ob_vis = (pinfo->vis_data.invert) ? !ob_vis : ob_vis; - - if (!ob_vis) { - return; - } - } - - /* Don't print dupli objects as this can be very verbose and - * increase the render time on Windows because of slow windows term. - * (see T59649) */ - if (engine && (ob->base_flag & BASE_FROM_DUPLI) == 0) { - char info[42]; - BLI_snprintf(info, sizeof(info), "Syncing %s", ob->id.name + 2); - RE_engine_update_stats(engine, NULL, info); - } - - const int ob_visibility = DRW_object_visibility_in_active_context(ob); - if (ob_visibility & OB_VISIBLE_PARTICLES) { - EEVEE_hair_cache_populate(vedata, sldata, ob, &cast_shadow); - } - - if (ob_visibility & OB_VISIBLE_SELF) { - if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - EEVEE_materials_cache_populate(vedata, sldata, ob, &cast_shadow); - } - else if (ob->type == OB_LIGHTPROBE) { - EEVEE_lightprobes_cache_add(sldata, vedata, ob); - } - else if (ob->type == OB_LAMP) { - EEVEE_lights_cache_add(sldata, ob); - } - } - - if (cast_shadow) { - EEVEE_lights_cache_shcaster_object_add(sldata, ob); - } + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_LightProbesInfo *pinfo = sldata->probes; + bool cast_shadow = false; + + if (pinfo->vis_data.collection) { + /* Used for rendering probe with visibility groups. */ + bool ob_vis = BKE_collection_has_object_recursive(pinfo->vis_data.collection, ob); + ob_vis = (pinfo->vis_data.invert) ? !ob_vis : ob_vis; + + if (!ob_vis) { + return; + } + } + + /* Don't print dupli objects as this can be very verbose and + * increase the render time on Windows because of slow windows term. + * (see T59649) */ + if (engine && (ob->base_flag & BASE_FROM_DUPLI) == 0) { + char info[42]; + BLI_snprintf(info, sizeof(info), "Syncing %s", ob->id.name + 2); + RE_engine_update_stats(engine, NULL, info); + } + + const int ob_visibility = DRW_object_visibility_in_active_context(ob); + if (ob_visibility & OB_VISIBLE_PARTICLES) { + EEVEE_hair_cache_populate(vedata, sldata, ob, &cast_shadow); + } + + if (ob_visibility & OB_VISIBLE_SELF) { + if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + EEVEE_materials_cache_populate(vedata, sldata, ob, &cast_shadow); + } + else if (ob->type == OB_LIGHTPROBE) { + EEVEE_lightprobes_cache_add(sldata, vedata, ob); + } + else if (ob->type == OB_LAMP) { + EEVEE_lights_cache_add(sldata, ob); + } + } + + if (cast_shadow) { + EEVEE_lights_cache_shcaster_object_add(sldata, ob); + } } -static void eevee_render_result_combined( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *UNUSED(sldata)) +static void eevee_render_result_combined(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *UNUSED(sldata)) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_COMBINED, viewname); - - GPU_framebuffer_bind(vedata->stl->effects->final_fb); - GPU_framebuffer_read_color( - vedata->stl->effects->final_fb, - vedata->stl->g_data->overscan_pixels + rect->xmin, - vedata->stl->g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 4, 0, rp->rect); + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_COMBINED, viewname); + + GPU_framebuffer_bind(vedata->stl->effects->final_fb); + GPU_framebuffer_read_color(vedata->stl->effects->final_fb, + vedata->stl->g_data->overscan_pixels + rect->xmin, + vedata->stl->g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 4, + 0, + rp->rect); } -static void eevee_render_result_subsurface( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *UNUSED(sldata), int render_samples) +static void eevee_render_result_subsurface(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *UNUSED(sldata), + int render_samples) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - - if (vedata->fbl->sss_accum_fb == NULL) { - /* SSS is not enabled. */ - return; - } - - if ((view_layer->passflag & SCE_PASS_SUBSURFACE_COLOR) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_SUBSURFACE_COLOR, viewname); - - GPU_framebuffer_bind(vedata->fbl->sss_accum_fb); - GPU_framebuffer_read_color( - vedata->fbl->sss_accum_fb, - vedata->stl->g_data->overscan_pixels + rect->xmin, - vedata->stl->g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 3, 1, rp->rect); - - /* This is the accumulated color. Divide by the number of samples. */ - for (int i = 0; i < rp->rectx * rp->recty * 3; i++) { - rp->rect[i] /= (float)render_samples; - } - } - - if ((view_layer->passflag & SCE_PASS_SUBSURFACE_DIRECT) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_SUBSURFACE_DIRECT, viewname); - - GPU_framebuffer_bind(vedata->fbl->sss_accum_fb); - GPU_framebuffer_read_color( - vedata->fbl->sss_accum_fb, - vedata->stl->g_data->overscan_pixels + rect->xmin, - vedata->stl->g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 3, 0, rp->rect); - - /* This is the accumulated color. Divide by the number of samples. */ - for (int i = 0; i < rp->rectx * rp->recty * 3; i++) { - rp->rect[i] /= (float)render_samples; - } - } - - if ((view_layer->passflag & SCE_PASS_SUBSURFACE_INDIRECT) != 0) { - /* Do nothing as all the lighting is in the direct pass. - * TODO : Separate Direct from indirect lighting. */ - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + + if (vedata->fbl->sss_accum_fb == NULL) { + /* SSS is not enabled. */ + return; + } + + if ((view_layer->passflag & SCE_PASS_SUBSURFACE_COLOR) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_SUBSURFACE_COLOR, viewname); + + GPU_framebuffer_bind(vedata->fbl->sss_accum_fb); + GPU_framebuffer_read_color(vedata->fbl->sss_accum_fb, + vedata->stl->g_data->overscan_pixels + rect->xmin, + vedata->stl->g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 3, + 1, + rp->rect); + + /* This is the accumulated color. Divide by the number of samples. */ + for (int i = 0; i < rp->rectx * rp->recty * 3; i++) { + rp->rect[i] /= (float)render_samples; + } + } + + if ((view_layer->passflag & SCE_PASS_SUBSURFACE_DIRECT) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_SUBSURFACE_DIRECT, viewname); + + GPU_framebuffer_bind(vedata->fbl->sss_accum_fb); + GPU_framebuffer_read_color(vedata->fbl->sss_accum_fb, + vedata->stl->g_data->overscan_pixels + rect->xmin, + vedata->stl->g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 3, + 0, + rp->rect); + + /* This is the accumulated color. Divide by the number of samples. */ + for (int i = 0; i < rp->rectx * rp->recty * 3; i++) { + rp->rect[i] /= (float)render_samples; + } + } + + if ((view_layer->passflag & SCE_PASS_SUBSURFACE_INDIRECT) != 0) { + /* Do nothing as all the lighting is in the direct pass. + * TODO : Separate Direct from indirect lighting. */ + } } -static void eevee_render_result_normal( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *UNUSED(sldata)) +static void eevee_render_result_normal(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *UNUSED(sldata)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PrivateData *g_data = stl->g_data; - - /* Only read the center texel. */ - if (stl->effects->taa_current_sample > 1) { - return; - } - - if ((view_layer->passflag & SCE_PASS_NORMAL) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_NORMAL, viewname); - - GPU_framebuffer_bind(vedata->fbl->main_fb); - GPU_framebuffer_read_color( - vedata->fbl->main_fb, - g_data->overscan_pixels + rect->xmin, - g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 3, 1, rp->rect); - - /* Convert Eevee encoded normals to Blender normals. */ - for (int i = 0; i < rp->rectx * rp->recty * 3; i += 3) { - if (rp->rect[i] == 0.0f && rp->rect[i + 1] == 0.0f) { - /* If normal is not correct then do not produce NANs. */ - continue; - } - - float fenc[2]; - fenc[0] = rp->rect[i + 0] * 4.0f - 2.0f; - fenc[1] = rp->rect[i + 1] * 4.0f - 2.0f; - - float f = dot_v2v2(fenc, fenc); - float g = sqrtf(1.0f - f / 4.0f); - - rp->rect[i + 0] = fenc[0] * g; - rp->rect[i + 1] = fenc[1] * g; - rp->rect[i + 2] = 1.0f - f / 2.0f; - - mul_mat3_m4_v3(g_data->viewinv, &rp->rect[i]); - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PrivateData *g_data = stl->g_data; + + /* Only read the center texel. */ + if (stl->effects->taa_current_sample > 1) { + return; + } + + if ((view_layer->passflag & SCE_PASS_NORMAL) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_NORMAL, viewname); + + GPU_framebuffer_bind(vedata->fbl->main_fb); + GPU_framebuffer_read_color(vedata->fbl->main_fb, + g_data->overscan_pixels + rect->xmin, + g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 3, + 1, + rp->rect); + + /* Convert Eevee encoded normals to Blender normals. */ + for (int i = 0; i < rp->rectx * rp->recty * 3; i += 3) { + if (rp->rect[i] == 0.0f && rp->rect[i + 1] == 0.0f) { + /* If normal is not correct then do not produce NANs. */ + continue; + } + + float fenc[2]; + fenc[0] = rp->rect[i + 0] * 4.0f - 2.0f; + fenc[1] = rp->rect[i + 1] * 4.0f - 2.0f; + + float f = dot_v2v2(fenc, fenc); + float g = sqrtf(1.0f - f / 4.0f); + + rp->rect[i + 0] = fenc[0] * g; + rp->rect[i + 1] = fenc[1] * g; + rp->rect[i + 2] = 1.0f - f / 2.0f; + + mul_mat3_m4_v3(g_data->viewinv, &rp->rect[i]); + } + } } -static void eevee_render_result_z( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *sldata) +static void eevee_render_result_z(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *sldata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PrivateData *g_data = stl->g_data; - - /* Only read the center texel. */ - if (stl->effects->taa_current_sample > 1) { - return; - } - - if ((view_layer->passflag & SCE_PASS_Z) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_Z, viewname); - - GPU_framebuffer_bind(vedata->fbl->main_fb); - GPU_framebuffer_read_depth( - vedata->fbl->main_fb, - g_data->overscan_pixels + rect->xmin, - g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - rp->rect); - - bool is_persp = DRW_viewport_is_persp_get(); - - /* Convert ogl depth [0..1] to view Z [near..far] */ - for (int i = 0; i < rp->rectx * rp->recty; ++i) { - if (rp->rect[i] == 1.0f ) { - rp->rect[i] = 1e10f; /* Background */ - } - else { - if (is_persp) { - rp->rect[i] = rp->rect[i] * 2.0f - 1.0f; - rp->rect[i] = g_data->winmat[3][2] / (rp->rect[i] + g_data->winmat[2][2]); - } - else { - rp->rect[i] = -common_data->view_vecs[0][2] + rp->rect[i] * -common_data->view_vecs[1][2]; - } - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PrivateData *g_data = stl->g_data; + + /* Only read the center texel. */ + if (stl->effects->taa_current_sample > 1) { + return; + } + + if ((view_layer->passflag & SCE_PASS_Z) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_Z, viewname); + + GPU_framebuffer_bind(vedata->fbl->main_fb); + GPU_framebuffer_read_depth(vedata->fbl->main_fb, + g_data->overscan_pixels + rect->xmin, + g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + rp->rect); + + bool is_persp = DRW_viewport_is_persp_get(); + + /* Convert ogl depth [0..1] to view Z [near..far] */ + for (int i = 0; i < rp->rectx * rp->recty; ++i) { + if (rp->rect[i] == 1.0f) { + rp->rect[i] = 1e10f; /* Background */ + } + else { + if (is_persp) { + rp->rect[i] = rp->rect[i] * 2.0f - 1.0f; + rp->rect[i] = g_data->winmat[3][2] / (rp->rect[i] + g_data->winmat[2][2]); + } + else { + rp->rect[i] = -common_data->view_vecs[0][2] + + rp->rect[i] * -common_data->view_vecs[1][2]; + } + } + } + } } -static void eevee_render_result_mist( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *UNUSED(sldata), int render_samples) +static void eevee_render_result_mist(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *UNUSED(sldata), + int render_samples) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - - if ((view_layer->passflag & SCE_PASS_MIST) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_MIST, viewname); - - GPU_framebuffer_bind(vedata->fbl->mist_accum_fb); - GPU_framebuffer_read_color( - vedata->fbl->mist_accum_fb, - vedata->stl->g_data->overscan_pixels + rect->xmin, - vedata->stl->g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 1, 0, rp->rect); - - /* This is the accumulated color. Divide by the number of samples. */ - for (int i = 0; i < rp->rectx * rp->recty; i++) { - rp->rect[i] /= (float)render_samples; - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + + if ((view_layer->passflag & SCE_PASS_MIST) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_MIST, viewname); + + GPU_framebuffer_bind(vedata->fbl->mist_accum_fb); + GPU_framebuffer_read_color(vedata->fbl->mist_accum_fb, + vedata->stl->g_data->overscan_pixels + rect->xmin, + vedata->stl->g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 1, + 0, + rp->rect); + + /* This is the accumulated color. Divide by the number of samples. */ + for (int i = 0; i < rp->rectx * rp->recty; i++) { + rp->rect[i] /= (float)render_samples; + } + } } -static void eevee_render_result_occlusion( - RenderLayer *rl, const char *viewname, const rcti *rect, - EEVEE_Data *vedata, EEVEE_ViewLayerData *UNUSED(sldata), int render_samples) +static void eevee_render_result_occlusion(RenderLayer *rl, + const char *viewname, + const rcti *rect, + EEVEE_Data *vedata, + EEVEE_ViewLayerData *UNUSED(sldata), + int render_samples) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - - if (vedata->fbl->ao_accum_fb == NULL) { - /* AO is not enabled. */ - return; - } - - if ((view_layer->passflag & SCE_PASS_AO) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_AO, viewname); - - GPU_framebuffer_bind(vedata->fbl->ao_accum_fb); - GPU_framebuffer_read_color( - vedata->fbl->ao_accum_fb, - vedata->stl->g_data->overscan_pixels + rect->xmin, - vedata->stl->g_data->overscan_pixels + rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 3, 0, rp->rect); - - /* This is the accumulated color. Divide by the number of samples. */ - for (int i = 0; i < rp->rectx * rp->recty * 3; i += 3) { - rp->rect[i] = rp->rect[i + 1] = rp->rect[i + 2] = min_ff(1.0f, rp->rect[i] / (float)render_samples); - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + + if (vedata->fbl->ao_accum_fb == NULL) { + /* AO is not enabled. */ + return; + } + + if ((view_layer->passflag & SCE_PASS_AO) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_AO, viewname); + + GPU_framebuffer_bind(vedata->fbl->ao_accum_fb); + GPU_framebuffer_read_color(vedata->fbl->ao_accum_fb, + vedata->stl->g_data->overscan_pixels + rect->xmin, + vedata->stl->g_data->overscan_pixels + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 3, + 0, + rp->rect); + + /* This is the accumulated color. Divide by the number of samples. */ + for (int i = 0; i < rp->rectx * rp->recty * 3; i += 3) { + rp->rect[i] = rp->rect[i + 1] = rp->rect[i + 2] = min_ff( + 1.0f, rp->rect[i] / (float)render_samples); + } + } } static void eevee_render_draw_background(EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_PassList *psl = vedata->psl; - - /* Prevent background to write to data buffers. - * NOTE : This also make sure the textures are bound - * to the right double buffer. */ - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE - }); - GPU_framebuffer_bind(fbl->main_fb); - - DRW_draw_pass(psl->background_pass); - - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_TEXTURE(stl->effects->ssr_normal_input), - GPU_ATTACHMENT_TEXTURE(stl->effects->ssr_specrough_input), - GPU_ATTACHMENT_TEXTURE(stl->effects->sss_data), - GPU_ATTACHMENT_TEXTURE(stl->effects->sss_albedo) - }); - GPU_framebuffer_bind(fbl->main_fb); + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_PassList *psl = vedata->psl; + + /* Prevent background to write to data buffers. + * NOTE : This also make sure the textures are bound + * to the right double buffer. */ + GPU_framebuffer_ensure_config(&fbl->main_fb, + {GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_NONE}); + GPU_framebuffer_bind(fbl->main_fb); + + DRW_draw_pass(psl->background_pass); + + GPU_framebuffer_ensure_config(&fbl->main_fb, + {GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_TEXTURE(stl->effects->ssr_normal_input), + GPU_ATTACHMENT_TEXTURE(stl->effects->ssr_specrough_input), + GPU_ATTACHMENT_TEXTURE(stl->effects->sss_data), + GPU_ATTACHMENT_TEXTURE(stl->effects->sss_albedo)}); + GPU_framebuffer_bind(fbl->main_fb); } void EEVEE_render_draw(EEVEE_Data *vedata, RenderEngine *engine, RenderLayer *rl, const rcti *rect) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - ViewLayer *view_layer = draw_ctx->view_layer; - const char *viewname = RE_GetActiveRenderView(engine->re); - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); - EEVEE_PrivateData *g_data = stl->g_data; - - /* FINISH CACHE */ - EEVEE_materials_cache_finish(vedata); - EEVEE_lights_cache_finish(sldata, vedata); - EEVEE_lightprobes_cache_finish(sldata, vedata); - - /* Sort transparents before the loop. */ - DRW_pass_sort_shgroup_z(psl->transparent_pass); - - /* Push instances attributes to the GPU. */ - DRW_render_instance_buffer_finish(); - - /* Need to be called after DRW_render_instance_buffer_finish() */ - /* Also we weed to have a correct fbo bound for DRW_hair_update */ - GPU_framebuffer_bind(fbl->main_fb); - DRW_hair_update(); - - if ((view_layer->passflag & (SCE_PASS_SUBSURFACE_COLOR | - SCE_PASS_SUBSURFACE_DIRECT | - SCE_PASS_SUBSURFACE_INDIRECT)) != 0) - { - EEVEE_subsurface_output_init(sldata, vedata); - } - - if ((view_layer->passflag & SCE_PASS_MIST) != 0) { - EEVEE_mist_output_init(sldata, vedata); - } - - if ((view_layer->passflag & SCE_PASS_AO) != 0) { - EEVEE_occlusion_output_init(sldata, vedata); - } - - uint tot_sample = scene_eval->eevee.taa_render_samples; - uint render_samples = 0; - - if (RE_engine_test_break(engine)) { - return; - } - - while (render_samples < tot_sample && !RE_engine_test_break(engine)) { - float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - float clear_depth = 1.0f; - uint clear_stencil = 0x00; - uint primes[3] = {2, 3, 7}; - double offset[3] = {0.0, 0.0, 0.0}; - double r[3]; - - /* Restore winmat before jittering again. */ - copy_m4_m4(stl->effects->overide_winmat, g_data->winmat); - /* Copy previous persmat to UBO data */ - copy_m4_m4(sldata->common_data.prev_persmat, stl->effects->prev_persmat); - - BLI_halton_3d(primes, offset, stl->effects->taa_current_sample, r); - EEVEE_update_noise(psl, fbl, r); - EEVEE_temporal_sampling_matrices_calc(stl->effects, g_data->viewmat, g_data->persmat, r); - EEVEE_volumes_set_jitter(sldata, stl->effects->taa_current_sample - 1); - EEVEE_materials_init(sldata, stl, fbl); - - /* Set matrices. */ - DRW_viewport_matrix_override_set(stl->effects->overide_persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(stl->effects->overide_persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(stl->effects->overide_winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(stl->effects->overide_wininv, DRW_MAT_WININV); - DRW_viewport_matrix_override_set(g_data->viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_override_set(g_data->viewinv, DRW_MAT_VIEWINV); - - /* Refresh Probes */ - EEVEE_lightprobes_refresh(sldata, vedata); - EEVEE_lightprobes_refresh_planar(sldata, vedata); - - /* Don't print every samples as it can lead to bad performance. (see T59649) */ - if ((render_samples % 25) == 0 || - (render_samples + 1) == tot_sample) - { - char info[42]; - BLI_snprintf(info, sizeof(info), "Rendering %u / %u samples", render_samples + 1, tot_sample); - RE_engine_update_stats(engine, NULL, info); - } - - /* Refresh Shadows */ - EEVEE_lights_update(sldata, vedata); - EEVEE_draw_shadows(sldata, vedata); - - /* Set ray type. */ - sldata->common_data.ray_type = EEVEE_RAY_CAMERA; - sldata->common_data.ray_depth = 0.0f; - DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); - - GPU_framebuffer_bind(fbl->main_fb); - GPU_framebuffer_clear_color_depth_stencil(fbl->main_fb, clear_col, clear_depth, clear_stencil); - /* Depth prepass */ - DRW_draw_pass(psl->depth_pass); - DRW_draw_pass(psl->depth_pass_cull); - /* Create minmax texture */ - EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); - EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); - EEVEE_volumes_compute(sldata, vedata); - /* Shading pass */ - eevee_render_draw_background(vedata); - GPU_framebuffer_bind(fbl->main_fb); - EEVEE_draw_default_passes(psl); - DRW_draw_pass(psl->material_pass); - DRW_draw_pass(psl->material_pass_cull); - EEVEE_subsurface_data_render(sldata, vedata); - /* Effects pre-transparency */ - EEVEE_subsurface_compute(sldata, vedata); - EEVEE_reflection_compute(sldata, vedata); - EEVEE_refraction_compute(sldata, vedata); - /* Opaque refraction */ - DRW_draw_pass(psl->refract_depth_pass); - DRW_draw_pass(psl->refract_depth_pass_cull); - DRW_draw_pass(psl->refract_pass); - /* Subsurface output */ - EEVEE_subsurface_output_accumulate(sldata, vedata); - /* Occlusion output */ - EEVEE_occlusion_output_accumulate(sldata, vedata); - /* Result NORMAL */ - eevee_render_result_normal(rl, viewname, rect, vedata, sldata); - /* Volumetrics Resolve Opaque */ - EEVEE_volumes_resolve(sldata, vedata); - /* Mist output */ - EEVEE_mist_output_accumulate(sldata, vedata); - /* Transparent */ - DRW_draw_pass(psl->transparent_pass); - /* Result Z */ - eevee_render_result_z(rl, viewname, rect, vedata, sldata); - /* Post Process */ - EEVEE_draw_effects(sldata, vedata); - - /* XXX Seems to fix TDR issue with NVidia drivers on linux. */ - GPU_finish(); - - RE_engine_update_progress(engine, (float)(render_samples++) / (float)tot_sample); - } - - eevee_render_result_combined(rl, viewname, rect, vedata, sldata); - eevee_render_result_subsurface(rl, viewname, rect, vedata, sldata, render_samples); - eevee_render_result_mist(rl, viewname, rect, vedata, sldata, render_samples); - eevee_render_result_occlusion(rl, viewname, rect, vedata, sldata, render_samples); - - /* Restore original viewport size. */ - DRW_render_viewport_size_set((int[2]){g_data->size_orig[0], g_data->size_orig[1]}); + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + ViewLayer *view_layer = draw_ctx->view_layer; + const char *viewname = RE_GetActiveRenderView(engine->re); + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + EEVEE_ViewLayerData *sldata = EEVEE_view_layer_data_ensure(); + EEVEE_PrivateData *g_data = stl->g_data; + + /* FINISH CACHE */ + EEVEE_materials_cache_finish(vedata); + EEVEE_lights_cache_finish(sldata, vedata); + EEVEE_lightprobes_cache_finish(sldata, vedata); + + /* Sort transparents before the loop. */ + DRW_pass_sort_shgroup_z(psl->transparent_pass); + + /* Push instances attributes to the GPU. */ + DRW_render_instance_buffer_finish(); + + /* Need to be called after DRW_render_instance_buffer_finish() */ + /* Also we weed to have a correct fbo bound for DRW_hair_update */ + GPU_framebuffer_bind(fbl->main_fb); + DRW_hair_update(); + + if ((view_layer->passflag & (SCE_PASS_SUBSURFACE_COLOR | SCE_PASS_SUBSURFACE_DIRECT | + SCE_PASS_SUBSURFACE_INDIRECT)) != 0) { + EEVEE_subsurface_output_init(sldata, vedata); + } + + if ((view_layer->passflag & SCE_PASS_MIST) != 0) { + EEVEE_mist_output_init(sldata, vedata); + } + + if ((view_layer->passflag & SCE_PASS_AO) != 0) { + EEVEE_occlusion_output_init(sldata, vedata); + } + + uint tot_sample = scene_eval->eevee.taa_render_samples; + uint render_samples = 0; + + if (RE_engine_test_break(engine)) { + return; + } + + while (render_samples < tot_sample && !RE_engine_test_break(engine)) { + float clear_col[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + float clear_depth = 1.0f; + uint clear_stencil = 0x00; + uint primes[3] = {2, 3, 7}; + double offset[3] = {0.0, 0.0, 0.0}; + double r[3]; + + /* Restore winmat before jittering again. */ + copy_m4_m4(stl->effects->overide_winmat, g_data->winmat); + /* Copy previous persmat to UBO data */ + copy_m4_m4(sldata->common_data.prev_persmat, stl->effects->prev_persmat); + + BLI_halton_3d(primes, offset, stl->effects->taa_current_sample, r); + EEVEE_update_noise(psl, fbl, r); + EEVEE_temporal_sampling_matrices_calc(stl->effects, g_data->viewmat, g_data->persmat, r); + EEVEE_volumes_set_jitter(sldata, stl->effects->taa_current_sample - 1); + EEVEE_materials_init(sldata, stl, fbl); + + /* Set matrices. */ + DRW_viewport_matrix_override_set(stl->effects->overide_persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(stl->effects->overide_persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(stl->effects->overide_winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(stl->effects->overide_wininv, DRW_MAT_WININV); + DRW_viewport_matrix_override_set(g_data->viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_override_set(g_data->viewinv, DRW_MAT_VIEWINV); + + /* Refresh Probes */ + EEVEE_lightprobes_refresh(sldata, vedata); + EEVEE_lightprobes_refresh_planar(sldata, vedata); + + /* Don't print every samples as it can lead to bad performance. (see T59649) */ + if ((render_samples % 25) == 0 || (render_samples + 1) == tot_sample) { + char info[42]; + BLI_snprintf( + info, sizeof(info), "Rendering %u / %u samples", render_samples + 1, tot_sample); + RE_engine_update_stats(engine, NULL, info); + } + + /* Refresh Shadows */ + EEVEE_lights_update(sldata, vedata); + EEVEE_draw_shadows(sldata, vedata); + + /* Set ray type. */ + sldata->common_data.ray_type = EEVEE_RAY_CAMERA; + sldata->common_data.ray_depth = 0.0f; + DRW_uniformbuffer_update(sldata->common_ubo, &sldata->common_data); + + GPU_framebuffer_bind(fbl->main_fb); + GPU_framebuffer_clear_color_depth_stencil(fbl->main_fb, clear_col, clear_depth, clear_stencil); + /* Depth prepass */ + DRW_draw_pass(psl->depth_pass); + DRW_draw_pass(psl->depth_pass_cull); + /* Create minmax texture */ + EEVEE_create_minmax_buffer(vedata, dtxl->depth, -1); + EEVEE_occlusion_compute(sldata, vedata, dtxl->depth, -1); + EEVEE_volumes_compute(sldata, vedata); + /* Shading pass */ + eevee_render_draw_background(vedata); + GPU_framebuffer_bind(fbl->main_fb); + EEVEE_draw_default_passes(psl); + DRW_draw_pass(psl->material_pass); + DRW_draw_pass(psl->material_pass_cull); + EEVEE_subsurface_data_render(sldata, vedata); + /* Effects pre-transparency */ + EEVEE_subsurface_compute(sldata, vedata); + EEVEE_reflection_compute(sldata, vedata); + EEVEE_refraction_compute(sldata, vedata); + /* Opaque refraction */ + DRW_draw_pass(psl->refract_depth_pass); + DRW_draw_pass(psl->refract_depth_pass_cull); + DRW_draw_pass(psl->refract_pass); + /* Subsurface output */ + EEVEE_subsurface_output_accumulate(sldata, vedata); + /* Occlusion output */ + EEVEE_occlusion_output_accumulate(sldata, vedata); + /* Result NORMAL */ + eevee_render_result_normal(rl, viewname, rect, vedata, sldata); + /* Volumetrics Resolve Opaque */ + EEVEE_volumes_resolve(sldata, vedata); + /* Mist output */ + EEVEE_mist_output_accumulate(sldata, vedata); + /* Transparent */ + DRW_draw_pass(psl->transparent_pass); + /* Result Z */ + eevee_render_result_z(rl, viewname, rect, vedata, sldata); + /* Post Process */ + EEVEE_draw_effects(sldata, vedata); + + /* XXX Seems to fix TDR issue with NVidia drivers on linux. */ + GPU_finish(); + + RE_engine_update_progress(engine, (float)(render_samples++) / (float)tot_sample); + } + + eevee_render_result_combined(rl, viewname, rect, vedata, sldata); + eevee_render_result_subsurface(rl, viewname, rect, vedata, sldata, render_samples); + eevee_render_result_mist(rl, viewname, rect, vedata, sldata, render_samples); + eevee_render_result_occlusion(rl, viewname, rect, vedata, sldata, render_samples); + + /* Restore original viewport size. */ + DRW_render_viewport_size_set((int[2]){g_data->size_orig[0], g_data->size_orig[1]}); } void EEVEE_render_update_passes(RenderEngine *engine, Scene *scene, ViewLayer *view_layer) { - int type; + int type; - RE_engine_register_pass(engine, scene, view_layer, RE_PASSNAME_COMBINED, 4, "RGBA", SOCK_RGBA); + RE_engine_register_pass(engine, scene, view_layer, RE_PASSNAME_COMBINED, 4, "RGBA", SOCK_RGBA); #define CHECK_PASS(name, channels, chanid) \ - if (view_layer->passflag & (SCE_PASS_ ## name)) { \ - if (channels == 4) type = SOCK_RGBA; \ - else if (channels == 3) type = SOCK_VECTOR; \ - else type = SOCK_FLOAT; \ - RE_engine_register_pass(engine, scene, view_layer, RE_PASSNAME_ ## name, channels, chanid, type); \ - } ((void)0) - - CHECK_PASS(Z, 1, "Z"); - CHECK_PASS(MIST, 1, "Z"); - CHECK_PASS(NORMAL, 3, "XYZ"); - CHECK_PASS(AO, 3, "RGB"); - CHECK_PASS(SUBSURFACE_COLOR, 3, "RGB"); - CHECK_PASS(SUBSURFACE_DIRECT, 3, "RGB"); + if (view_layer->passflag & (SCE_PASS_##name)) { \ + if (channels == 4) \ + type = SOCK_RGBA; \ + else if (channels == 3) \ + type = SOCK_VECTOR; \ + else \ + type = SOCK_FLOAT; \ + RE_engine_register_pass( \ + engine, scene, view_layer, RE_PASSNAME_##name, channels, chanid, type); \ + } \ + ((void)0) + + CHECK_PASS(Z, 1, "Z"); + CHECK_PASS(MIST, 1, "Z"); + CHECK_PASS(NORMAL, 3, "XYZ"); + CHECK_PASS(AO, 3, "RGB"); + CHECK_PASS(SUBSURFACE_COLOR, 3, "RGB"); + CHECK_PASS(SUBSURFACE_DIRECT, 3, "RGB"); #undef CHECK_PASS } diff --git a/source/blender/draw/engines/eevee/eevee_screen_raytrace.c b/source/blender/draw/engines/eevee/eevee_screen_raytrace.c index f044d68ddb2..a3603fc3d64 100644 --- a/source/blender/draw/engines/eevee/eevee_screen_raytrace.c +++ b/source/blender/draw/engines/eevee/eevee_screen_raytrace.c @@ -34,19 +34,19 @@ /* SSR shader variations */ enum { - SSR_RESOLVE = (1 << 0), - SSR_FULL_TRACE = (1 << 1), - SSR_AO = (1 << 3), - SSR_MAX_SHADER = (1 << 4), + SSR_RESOLVE = (1 << 0), + SSR_FULL_TRACE = (1 << 1), + SSR_AO = (1 << 3), + SSR_MAX_SHADER = (1 << 4), }; static struct { - /* Screen Space Reflection */ - struct GPUShader *ssr_sh[SSR_MAX_SHADER]; + /* Screen Space Reflection */ + struct GPUShader *ssr_sh[SSR_MAX_SHADER]; - /* Theses are just references, not actually allocated */ - struct GPUTexture *depth_src; - struct GPUTexture *color_src; + /* Theses are just references, not actually allocated */ + struct GPUTexture *depth_src; + struct GPUTexture *color_src; } e_data = {{NULL}}; /* Engine data */ extern char datatoc_ambient_occlusion_lib_glsl[]; @@ -61,274 +61,274 @@ extern char datatoc_raytrace_lib_glsl[]; static struct GPUShader *eevee_effects_screen_raytrace_shader_get(int options) { - if (e_data.ssr_sh[options] == NULL) { - char *ssr_shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_ambient_occlusion_lib_glsl, - datatoc_octahedron_lib_glsl, - datatoc_lightprobe_lib_glsl, - datatoc_raytrace_lib_glsl, - datatoc_effect_ssr_frag_glsl); - - DynStr *ds_defines = BLI_dynstr_new(); - BLI_dynstr_append(ds_defines, SHADER_DEFINES); - if (options & SSR_RESOLVE) { - BLI_dynstr_append(ds_defines, "#define STEP_RESOLVE\n"); - } - else { - BLI_dynstr_append(ds_defines, "#define STEP_RAYTRACE\n"); - BLI_dynstr_append(ds_defines, "#define PLANAR_PROBE_RAYTRACE\n"); - } - if (options & SSR_FULL_TRACE) { - BLI_dynstr_append(ds_defines, "#define FULLRES\n"); - } - if (options & SSR_AO) { - BLI_dynstr_append(ds_defines, "#define SSR_AO\n"); - } - char *ssr_define_str = BLI_dynstr_get_cstring(ds_defines); - BLI_dynstr_free(ds_defines); - - e_data.ssr_sh[options] = DRW_shader_create_fullscreen(ssr_shader_str, ssr_define_str); - - MEM_freeN(ssr_shader_str); - MEM_freeN(ssr_define_str); - } - - return e_data.ssr_sh[options]; + if (e_data.ssr_sh[options] == NULL) { + char *ssr_shader_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_ambient_occlusion_lib_glsl, + datatoc_octahedron_lib_glsl, + datatoc_lightprobe_lib_glsl, + datatoc_raytrace_lib_glsl, + datatoc_effect_ssr_frag_glsl); + + DynStr *ds_defines = BLI_dynstr_new(); + BLI_dynstr_append(ds_defines, SHADER_DEFINES); + if (options & SSR_RESOLVE) { + BLI_dynstr_append(ds_defines, "#define STEP_RESOLVE\n"); + } + else { + BLI_dynstr_append(ds_defines, "#define STEP_RAYTRACE\n"); + BLI_dynstr_append(ds_defines, "#define PLANAR_PROBE_RAYTRACE\n"); + } + if (options & SSR_FULL_TRACE) { + BLI_dynstr_append(ds_defines, "#define FULLRES\n"); + } + if (options & SSR_AO) { + BLI_dynstr_append(ds_defines, "#define SSR_AO\n"); + } + char *ssr_define_str = BLI_dynstr_get_cstring(ds_defines); + BLI_dynstr_free(ds_defines); + + e_data.ssr_sh[options] = DRW_shader_create_fullscreen(ssr_shader_str, ssr_define_str); + + MEM_freeN(ssr_shader_str); + MEM_freeN(ssr_define_str); + } + + return e_data.ssr_sh[options]; } int EEVEE_screen_raytrace_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - const float *viewport_size = DRW_viewport_size_get(); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - /* Compute pixel size, (shared with contact shadows) */ - copy_v2_v2(common_data->ssr_pixelsize, viewport_size); - invert_v2(common_data->ssr_pixelsize); - - if (scene_eval->eevee.flag & SCE_EEVEE_SSR_ENABLED) { - const bool use_refraction = (scene_eval->eevee.flag & SCE_EEVEE_SSR_REFRACTION) != 0; - - if (use_refraction) { - /* TODO: Opti: Could be shared. */ - DRW_texture_ensure_fullscreen_2d(&txl->refract_color, GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); - - GPU_framebuffer_ensure_config(&fbl->refract_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->refract_color) - }); - } - - const bool is_persp = DRW_viewport_is_persp_get(); - if (effects->ssr_was_persp != is_persp) { - effects->ssr_was_persp = is_persp; - DRW_viewport_request_redraw(); - EEVEE_temporal_sampling_reset(vedata); - stl->g_data->valid_double_buffer = false; - } - - effects->reflection_trace_full = (scene_eval->eevee.flag & SCE_EEVEE_SSR_HALF_RESOLUTION) == 0; - common_data->ssr_thickness = scene_eval->eevee.ssr_thickness; - common_data->ssr_border_fac = scene_eval->eevee.ssr_border_fade; - common_data->ssr_firefly_fac = scene_eval->eevee.ssr_firefly_fac; - common_data->ssr_max_roughness = scene_eval->eevee.ssr_max_roughness; - common_data->ssr_quality = 1.0f - 0.95f * scene_eval->eevee.ssr_quality; - common_data->ssr_brdf_bias = 0.1f + common_data->ssr_quality * 0.6f; /* Range [0.1, 0.7]. */ - - if (common_data->ssr_firefly_fac < 1e-8f) { - common_data->ssr_firefly_fac = FLT_MAX; - } - - const int divisor = (effects->reflection_trace_full) ? 1 : 2; - int tracing_res[2] = {(int)viewport_size[0] / divisor, (int)viewport_size[1] / divisor}; - int size_fs[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - const bool high_qual_input = true; /* TODO dither low quality input */ - const eGPUTextureFormat format = (high_qual_input) ? GPU_RGBA16F : GPU_RGBA8; - - /* MRT for the shading pass in order to output needed data for the SSR pass. */ - effects->ssr_specrough_input = DRW_texture_pool_query_2d(size_fs[0], size_fs[1], format, - &draw_engine_eevee_type); - - GPU_framebuffer_texture_attach(fbl->main_fb, effects->ssr_specrough_input, 2, 0); - - /* Raytracing output */ - effects->ssr_hit_output = DRW_texture_pool_query_2d(tracing_res[0], tracing_res[1], GPU_RG16I, - &draw_engine_eevee_type); - effects->ssr_pdf_output = DRW_texture_pool_query_2d(tracing_res[0], tracing_res[1], GPU_R16F, - &draw_engine_eevee_type); - - GPU_framebuffer_ensure_config(&fbl->screen_tracing_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->ssr_hit_output), - GPU_ATTACHMENT_TEXTURE(effects->ssr_pdf_output) - }); - - /* Enable double buffering to be able to read previous frame color */ - return EFFECT_SSR | EFFECT_NORMAL_BUFFER | EFFECT_DOUBLE_BUFFER | ((use_refraction) ? EFFECT_REFRACT : 0); - } - - /* Cleanup to release memory */ - GPU_FRAMEBUFFER_FREE_SAFE(fbl->screen_tracing_fb); - effects->ssr_specrough_input = NULL; - effects->ssr_hit_output = NULL; - effects->ssr_pdf_output = NULL; - - return 0; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + const float *viewport_size = DRW_viewport_size_get(); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + /* Compute pixel size, (shared with contact shadows) */ + copy_v2_v2(common_data->ssr_pixelsize, viewport_size); + invert_v2(common_data->ssr_pixelsize); + + if (scene_eval->eevee.flag & SCE_EEVEE_SSR_ENABLED) { + const bool use_refraction = (scene_eval->eevee.flag & SCE_EEVEE_SSR_REFRACTION) != 0; + + if (use_refraction) { + /* TODO: Opti: Could be shared. */ + DRW_texture_ensure_fullscreen_2d( + &txl->refract_color, GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); + + GPU_framebuffer_ensure_config( + &fbl->refract_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(txl->refract_color)}); + } + + const bool is_persp = DRW_viewport_is_persp_get(); + if (effects->ssr_was_persp != is_persp) { + effects->ssr_was_persp = is_persp; + DRW_viewport_request_redraw(); + EEVEE_temporal_sampling_reset(vedata); + stl->g_data->valid_double_buffer = false; + } + + effects->reflection_trace_full = (scene_eval->eevee.flag & SCE_EEVEE_SSR_HALF_RESOLUTION) == 0; + common_data->ssr_thickness = scene_eval->eevee.ssr_thickness; + common_data->ssr_border_fac = scene_eval->eevee.ssr_border_fade; + common_data->ssr_firefly_fac = scene_eval->eevee.ssr_firefly_fac; + common_data->ssr_max_roughness = scene_eval->eevee.ssr_max_roughness; + common_data->ssr_quality = 1.0f - 0.95f * scene_eval->eevee.ssr_quality; + common_data->ssr_brdf_bias = 0.1f + common_data->ssr_quality * 0.6f; /* Range [0.1, 0.7]. */ + + if (common_data->ssr_firefly_fac < 1e-8f) { + common_data->ssr_firefly_fac = FLT_MAX; + } + + const int divisor = (effects->reflection_trace_full) ? 1 : 2; + int tracing_res[2] = {(int)viewport_size[0] / divisor, (int)viewport_size[1] / divisor}; + int size_fs[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + const bool high_qual_input = true; /* TODO dither low quality input */ + const eGPUTextureFormat format = (high_qual_input) ? GPU_RGBA16F : GPU_RGBA8; + + /* MRT for the shading pass in order to output needed data for the SSR pass. */ + effects->ssr_specrough_input = DRW_texture_pool_query_2d( + size_fs[0], size_fs[1], format, &draw_engine_eevee_type); + + GPU_framebuffer_texture_attach(fbl->main_fb, effects->ssr_specrough_input, 2, 0); + + /* Raytracing output */ + effects->ssr_hit_output = DRW_texture_pool_query_2d( + tracing_res[0], tracing_res[1], GPU_RG16I, &draw_engine_eevee_type); + effects->ssr_pdf_output = DRW_texture_pool_query_2d( + tracing_res[0], tracing_res[1], GPU_R16F, &draw_engine_eevee_type); + + GPU_framebuffer_ensure_config(&fbl->screen_tracing_fb, + {GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(effects->ssr_hit_output), + GPU_ATTACHMENT_TEXTURE(effects->ssr_pdf_output)}); + + /* Enable double buffering to be able to read previous frame color */ + return EFFECT_SSR | EFFECT_NORMAL_BUFFER | EFFECT_DOUBLE_BUFFER | + ((use_refraction) ? EFFECT_REFRACT : 0); + } + + /* Cleanup to release memory */ + GPU_FRAMEBUFFER_FREE_SAFE(fbl->screen_tracing_fb); + effects->ssr_specrough_input = NULL; + effects->ssr_hit_output = NULL; + effects->ssr_pdf_output = NULL; + + return 0; } void EEVEE_screen_raytrace_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - LightCache *lcache = stl->g_data->light_cache; - - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - if ((effects->enabled_effects & EFFECT_SSR) != 0) { - int options = (effects->reflection_trace_full) ? SSR_FULL_TRACE : 0; - options |= ((effects->enabled_effects & EFFECT_GTAO) != 0) ? SSR_AO : 0; - - struct GPUShader *trace_shader = eevee_effects_screen_raytrace_shader_get(options); - struct GPUShader *resolve_shader = eevee_effects_screen_raytrace_shader_get(SSR_RESOLVE | options); - - /** Screen space raytracing overview - * - * Following Frostbite stochastic SSR. - * - * - First pass Trace rays across the depth buffer. The hit position and pdf are - * recorded in a RGBA16F render target for each ray (sample). - * - * - We downsample the previous frame color buffer. - * - * - For each final pixel, we gather neighbors rays and choose a color buffer - * mipmap for each ray using its pdf. (filtered importance sampling) - * We then evaluate the lighting from the probes and mix the results together. - */ - psl->ssr_raytrace = DRW_pass_create("SSR Raytrace", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(trace_shader, psl->ssr_raytrace); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); - DRW_shgroup_uniform_texture_ref(grp, "specroughBuffer", &effects->ssr_specrough_input); - DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); - DRW_shgroup_uniform_texture_ref(grp, "planarDepth", &vedata->txl->planar_depth); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - if (!effects->reflection_trace_full) { - DRW_shgroup_uniform_ivec2(grp, "halfresOffset", effects->ssr_halfres_ofs, 1); - } - DRW_shgroup_call_add(grp, quad, NULL); - - psl->ssr_resolve = DRW_pass_create("SSR Resolve", DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE); - grp = DRW_shgroup_create(resolve_shader, psl->ssr_resolve); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); - DRW_shgroup_uniform_texture_ref(grp, "specroughBuffer", &effects->ssr_specrough_input); - DRW_shgroup_uniform_texture_ref(grp, "probeCubes", &lcache->cube_tx.tex); - DRW_shgroup_uniform_texture_ref(grp, "probePlanars", &vedata->txl->planar_pool); - DRW_shgroup_uniform_texture_ref(grp, "planarDepth", &vedata->txl->planar_depth); - DRW_shgroup_uniform_texture_ref(grp, "hitBuffer", &effects->ssr_hit_output); - DRW_shgroup_uniform_texture_ref(grp, "pdfBuffer", &effects->ssr_pdf_output); - DRW_shgroup_uniform_texture_ref(grp, "prevColorBuffer", &txl->color_double_buffer); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_int(grp, "neighborOffset", &effects->ssr_neighbor_ofs, 1); - if ((effects->enabled_effects & EFFECT_GTAO) != 0) { - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); - } - - DRW_shgroup_call_add(grp, quad, NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + LightCache *lcache = stl->g_data->light_cache; + + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + if ((effects->enabled_effects & EFFECT_SSR) != 0) { + int options = (effects->reflection_trace_full) ? SSR_FULL_TRACE : 0; + options |= ((effects->enabled_effects & EFFECT_GTAO) != 0) ? SSR_AO : 0; + + struct GPUShader *trace_shader = eevee_effects_screen_raytrace_shader_get(options); + struct GPUShader *resolve_shader = eevee_effects_screen_raytrace_shader_get(SSR_RESOLVE | + options); + + /** Screen space raytracing overview + * + * Following Frostbite stochastic SSR. + * + * - First pass Trace rays across the depth buffer. The hit position and pdf are + * recorded in a RGBA16F render target for each ray (sample). + * + * - We downsample the previous frame color buffer. + * + * - For each final pixel, we gather neighbors rays and choose a color buffer + * mipmap for each ray using its pdf. (filtered importance sampling) + * We then evaluate the lighting from the probes and mix the results together. + */ + psl->ssr_raytrace = DRW_pass_create("SSR Raytrace", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(trace_shader, psl->ssr_raytrace); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); + DRW_shgroup_uniform_texture_ref(grp, "specroughBuffer", &effects->ssr_specrough_input); + DRW_shgroup_uniform_texture_ref(grp, "maxzBuffer", &txl->maxzbuffer); + DRW_shgroup_uniform_texture_ref(grp, "planarDepth", &vedata->txl->planar_depth); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + if (!effects->reflection_trace_full) { + DRW_shgroup_uniform_ivec2(grp, "halfresOffset", effects->ssr_halfres_ofs, 1); + } + DRW_shgroup_call_add(grp, quad, NULL); + + psl->ssr_resolve = DRW_pass_create("SSR Resolve", DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE); + grp = DRW_shgroup_create(resolve_shader, psl->ssr_resolve); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.depth_src); + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &effects->ssr_normal_input); + DRW_shgroup_uniform_texture_ref(grp, "specroughBuffer", &effects->ssr_specrough_input); + DRW_shgroup_uniform_texture_ref(grp, "probeCubes", &lcache->cube_tx.tex); + DRW_shgroup_uniform_texture_ref(grp, "probePlanars", &vedata->txl->planar_pool); + DRW_shgroup_uniform_texture_ref(grp, "planarDepth", &vedata->txl->planar_depth); + DRW_shgroup_uniform_texture_ref(grp, "hitBuffer", &effects->ssr_hit_output); + DRW_shgroup_uniform_texture_ref(grp, "pdfBuffer", &effects->ssr_pdf_output); + DRW_shgroup_uniform_texture_ref(grp, "prevColorBuffer", &txl->color_double_buffer); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_int(grp, "neighborOffset", &effects->ssr_neighbor_ofs, 1); + if ((effects->enabled_effects & EFFECT_GTAO) != 0) { + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "horizonBuffer", &effects->gtao_horizons); + } + + DRW_shgroup_call_add(grp, quad, NULL); + } } void EEVEE_refraction_compute(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_REFRACT) != 0) { - GPU_framebuffer_blit(fbl->main_fb, 0, fbl->refract_fb, 0, GPU_COLOR_BIT); - EEVEE_downsample_buffer(vedata, txl->refract_color, 9); - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - } + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_REFRACT) != 0) { + GPU_framebuffer_blit(fbl->main_fb, 0, fbl->refract_fb, 0, GPU_COLOR_BIT); + EEVEE_downsample_buffer(vedata, txl->refract_color, 9); + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + } } void EEVEE_reflection_compute(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - - if (((effects->enabled_effects & EFFECT_SSR) != 0) && stl->g_data->valid_double_buffer) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - e_data.depth_src = dtxl->depth; - - DRW_stats_group_start("SSR"); - - /* Raytrace. */ - GPU_framebuffer_bind(fbl->screen_tracing_fb); - DRW_draw_pass(psl->ssr_raytrace); - - EEVEE_downsample_buffer(vedata, txl->color_double_buffer, 9); - - /* Resolve at fullres */ - int sample = (DRW_state_is_image_render()) ? effects->taa_render_sample : effects->taa_current_sample; - /* Doing a neighbor shift only after a few iteration. We wait for a prime number of cycles to avoid - * noise correlation. This reduces variance faster. */ - effects->ssr_neighbor_ofs = ((sample / 5) % 8) * 4; - switch ((sample / 11) % 4) { - case 0: - effects->ssr_halfres_ofs[0] = 0; - effects->ssr_halfres_ofs[1] = 0; - break; - case 1: - effects->ssr_halfres_ofs[0] = 0; - effects->ssr_halfres_ofs[1] = 1; - break; - case 2: - effects->ssr_halfres_ofs[0] = 1; - effects->ssr_halfres_ofs[1] = 0; - break; - case 4: - effects->ssr_halfres_ofs[0] = 1; - effects->ssr_halfres_ofs[1] = 1; - break; - } - GPU_framebuffer_bind(fbl->main_color_fb); - DRW_draw_pass(psl->ssr_resolve); - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - DRW_stats_group_end(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + + if (((effects->enabled_effects & EFFECT_SSR) != 0) && stl->g_data->valid_double_buffer) { + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + e_data.depth_src = dtxl->depth; + + DRW_stats_group_start("SSR"); + + /* Raytrace. */ + GPU_framebuffer_bind(fbl->screen_tracing_fb); + DRW_draw_pass(psl->ssr_raytrace); + + EEVEE_downsample_buffer(vedata, txl->color_double_buffer, 9); + + /* Resolve at fullres */ + int sample = (DRW_state_is_image_render()) ? effects->taa_render_sample : + effects->taa_current_sample; + /* Doing a neighbor shift only after a few iteration. We wait for a prime number of cycles to avoid + * noise correlation. This reduces variance faster. */ + effects->ssr_neighbor_ofs = ((sample / 5) % 8) * 4; + switch ((sample / 11) % 4) { + case 0: + effects->ssr_halfres_ofs[0] = 0; + effects->ssr_halfres_ofs[1] = 0; + break; + case 1: + effects->ssr_halfres_ofs[0] = 0; + effects->ssr_halfres_ofs[1] = 1; + break; + case 2: + effects->ssr_halfres_ofs[0] = 1; + effects->ssr_halfres_ofs[1] = 0; + break; + case 4: + effects->ssr_halfres_ofs[0] = 1; + effects->ssr_halfres_ofs[1] = 1; + break; + } + GPU_framebuffer_bind(fbl->main_color_fb); + DRW_draw_pass(psl->ssr_resolve); + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + DRW_stats_group_end(); + } } void EEVEE_screen_raytrace_free(void) { - for (int i = 0; i < SSR_MAX_SHADER; ++i) { - DRW_SHADER_FREE_SAFE(e_data.ssr_sh[i]); - } + for (int i = 0; i < SSR_MAX_SHADER; ++i) { + DRW_SHADER_FREE_SAFE(e_data.ssr_sh[i]); + } } diff --git a/source/blender/draw/engines/eevee/eevee_shaders.c b/source/blender/draw/engines/eevee/eevee_shaders.c index f6479603a66..dbb43e16385 100644 --- a/source/blender/draw/engines/eevee/eevee_shaders.c +++ b/source/blender/draw/engines/eevee/eevee_shaders.c @@ -32,33 +32,33 @@ static const char *filter_defines = "#define HAMMERSLEY_SIZE " STRINGIFY(HAMMERSLEY_SIZE) "\n" #if defined(IRRADIANCE_SH_L2) - "#define IRRADIANCE_SH_L2\n" + "#define IRRADIANCE_SH_L2\n" #elif defined(IRRADIANCE_CUBEMAP) - "#define IRRADIANCE_CUBEMAP\n" + "#define IRRADIANCE_CUBEMAP\n" #elif defined(IRRADIANCE_HL2) - "#define IRRADIANCE_HL2\n" + "#define IRRADIANCE_HL2\n" #endif - "#define NOISE_SIZE 64\n"; + "#define NOISE_SIZE 64\n"; static struct { - /* Probes */ - struct GPUShader *probe_default_sh; - struct GPUShader *probe_default_studiolight_sh; - struct GPUShader *probe_grid_display_sh; - struct GPUShader *probe_cube_display_sh; - struct GPUShader *probe_planar_display_sh; - struct GPUShader *probe_filter_glossy_sh; - struct GPUShader *probe_filter_diffuse_sh; - struct GPUShader *probe_filter_visibility_sh; - struct GPUShader *probe_grid_fill_sh; - struct GPUShader *probe_planar_downsample_sh; - - /* Velocity Resolve */ - struct GPUShader *velocity_resolve_sh; - - /* Temporal Anti Aliasing */ - struct GPUShader *taa_resolve_sh; - struct GPUShader *taa_resolve_reproject_sh; + /* Probes */ + struct GPUShader *probe_default_sh; + struct GPUShader *probe_default_studiolight_sh; + struct GPUShader *probe_grid_display_sh; + struct GPUShader *probe_cube_display_sh; + struct GPUShader *probe_planar_display_sh; + struct GPUShader *probe_filter_glossy_sh; + struct GPUShader *probe_filter_diffuse_sh; + struct GPUShader *probe_filter_visibility_sh; + struct GPUShader *probe_grid_fill_sh; + struct GPUShader *probe_planar_downsample_sh; + + /* Velocity Resolve */ + struct GPUShader *velocity_resolve_sh; + + /* Temporal Anti Aliasing */ + struct GPUShader *taa_resolve_sh; + struct GPUShader *taa_resolve_reproject_sh; } e_data = {NULL}; /* Engine data */ @@ -94,223 +94,208 @@ extern char datatoc_effect_velocity_resolve_frag_glsl[]; /* Temporal Sampling */ extern char datatoc_effect_temporal_aa_glsl[]; - /* *********** FUNCTIONS *********** */ void EEVEE_shaders_lightprobe_shaders_init(void) { - BLI_assert(e_data.probe_filter_glossy_sh == NULL); - char *shader_str = NULL; + BLI_assert(e_data.probe_filter_glossy_sh == NULL); + char *shader_str = NULL; - shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_lightprobe_filter_glossy_frag_glsl); + shader_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_lightprobe_filter_glossy_frag_glsl); - e_data.probe_filter_glossy_sh = DRW_shader_create( - datatoc_lightprobe_vert_glsl, datatoc_lightprobe_geom_glsl, shader_str, filter_defines); + e_data.probe_filter_glossy_sh = DRW_shader_create( + datatoc_lightprobe_vert_glsl, datatoc_lightprobe_geom_glsl, shader_str, filter_defines); - e_data.probe_default_sh = DRW_shader_create( - datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, NULL); + e_data.probe_default_sh = DRW_shader_create( + datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, NULL); - MEM_freeN(shader_str); + MEM_freeN(shader_str); - shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_lightprobe_filter_diffuse_frag_glsl); + shader_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_lightprobe_filter_diffuse_frag_glsl); - e_data.probe_filter_diffuse_sh = DRW_shader_create_fullscreen(shader_str, filter_defines); + e_data.probe_filter_diffuse_sh = DRW_shader_create_fullscreen(shader_str, filter_defines); - MEM_freeN(shader_str); + MEM_freeN(shader_str); - shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_bsdf_sampling_lib_glsl, - datatoc_lightprobe_filter_visibility_frag_glsl); + shader_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_bsdf_sampling_lib_glsl, + datatoc_lightprobe_filter_visibility_frag_glsl); - e_data.probe_filter_visibility_sh = DRW_shader_create_fullscreen(shader_str, filter_defines); + e_data.probe_filter_visibility_sh = DRW_shader_create_fullscreen(shader_str, filter_defines); - MEM_freeN(shader_str); + MEM_freeN(shader_str); - e_data.probe_grid_fill_sh = DRW_shader_create_fullscreen( - datatoc_lightprobe_grid_fill_frag_glsl, filter_defines); + e_data.probe_grid_fill_sh = DRW_shader_create_fullscreen(datatoc_lightprobe_grid_fill_frag_glsl, + filter_defines); - e_data.probe_planar_downsample_sh = DRW_shader_create( - datatoc_lightprobe_planar_downsample_vert_glsl, - datatoc_lightprobe_planar_downsample_geom_glsl, - datatoc_lightprobe_planar_downsample_frag_glsl, - NULL); + e_data.probe_planar_downsample_sh = DRW_shader_create( + datatoc_lightprobe_planar_downsample_vert_glsl, + datatoc_lightprobe_planar_downsample_geom_glsl, + datatoc_lightprobe_planar_downsample_frag_glsl, + NULL); } GPUShader *EEVEE_shaders_probe_filter_glossy_sh_get(void) { - return e_data.probe_filter_glossy_sh; + return e_data.probe_filter_glossy_sh; } GPUShader *EEVEE_shaders_probe_default_sh_get(void) { - return e_data.probe_default_sh; + return e_data.probe_default_sh; } GPUShader *EEVEE_shaders_probe_filter_diffuse_sh_get(void) { - return e_data.probe_filter_diffuse_sh; + return e_data.probe_filter_diffuse_sh; } GPUShader *EEVEE_shaders_probe_filter_visibility_sh_get(void) { - return e_data.probe_filter_visibility_sh; + return e_data.probe_filter_visibility_sh; } GPUShader *EEVEE_shaders_probe_grid_fill_sh_get(void) { - return e_data.probe_grid_fill_sh; + return e_data.probe_grid_fill_sh; } GPUShader *EEVEE_shaders_probe_planar_downsample_sh_get(void) { - return e_data.probe_planar_downsample_sh; + return e_data.probe_planar_downsample_sh; } GPUShader *EEVEE_shaders_default_studiolight_sh_get(void) { - if (e_data.probe_default_studiolight_sh == NULL) { - e_data.probe_default_studiolight_sh = DRW_shader_create( - datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, "#define LOOKDEV\n"); - } - return e_data.probe_default_studiolight_sh; + if (e_data.probe_default_studiolight_sh == NULL) { + e_data.probe_default_studiolight_sh = DRW_shader_create( + datatoc_background_vert_glsl, NULL, datatoc_default_world_frag_glsl, "#define LOOKDEV\n"); + } + return e_data.probe_default_studiolight_sh; } GPUShader *EEVEE_shaders_probe_cube_display_sh_get(void) { - if (e_data.probe_cube_display_sh == NULL) { - char *shader_str = BLI_string_joinN( - datatoc_octahedron_lib_glsl, - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_lightprobe_lib_glsl, - datatoc_lightprobe_cube_display_frag_glsl); - - char *vert_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_lightprobe_cube_display_vert_glsl); - - e_data.probe_cube_display_sh = DRW_shader_create(vert_str, NULL, shader_str, SHADER_DEFINES); - - MEM_freeN(vert_str); - MEM_freeN(shader_str); - } - return e_data.probe_cube_display_sh; + if (e_data.probe_cube_display_sh == NULL) { + char *shader_str = BLI_string_joinN(datatoc_octahedron_lib_glsl, + datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_lightprobe_lib_glsl, + datatoc_lightprobe_cube_display_frag_glsl); + + char *vert_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_lightprobe_cube_display_vert_glsl); + + e_data.probe_cube_display_sh = DRW_shader_create(vert_str, NULL, shader_str, SHADER_DEFINES); + + MEM_freeN(vert_str); + MEM_freeN(shader_str); + } + return e_data.probe_cube_display_sh; } - GPUShader *EEVEE_shaders_probe_grid_display_sh_get(void) +GPUShader *EEVEE_shaders_probe_grid_display_sh_get(void) { - if (e_data.probe_grid_display_sh == NULL ) { - char *shader_str = BLI_string_joinN( - datatoc_octahedron_lib_glsl, - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_irradiance_lib_glsl, - datatoc_lightprobe_lib_glsl, - datatoc_lightprobe_grid_display_frag_glsl); - - char *vert_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_lightprobe_grid_display_vert_glsl); - - e_data.probe_grid_display_sh = DRW_shader_create(vert_str, NULL, shader_str, filter_defines); - - MEM_freeN(vert_str); - MEM_freeN(shader_str); - } - return e_data.probe_grid_display_sh; + if (e_data.probe_grid_display_sh == NULL) { + char *shader_str = BLI_string_joinN(datatoc_octahedron_lib_glsl, + datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_irradiance_lib_glsl, + datatoc_lightprobe_lib_glsl, + datatoc_lightprobe_grid_display_frag_glsl); + + char *vert_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_lightprobe_grid_display_vert_glsl); + + e_data.probe_grid_display_sh = DRW_shader_create(vert_str, NULL, shader_str, filter_defines); + + MEM_freeN(vert_str); + MEM_freeN(shader_str); + } + return e_data.probe_grid_display_sh; } - GPUShader *EEVEE_shaders_probe_planar_display_sh_get(void) +GPUShader *EEVEE_shaders_probe_planar_display_sh_get(void) { - if (e_data.probe_planar_display_sh == NULL) { - char *vert_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_lightprobe_planar_display_vert_glsl); + if (e_data.probe_planar_display_sh == NULL) { + char *vert_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_lightprobe_planar_display_vert_glsl); - char *shader_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_lightprobe_planar_display_frag_glsl); + char *shader_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_lightprobe_planar_display_frag_glsl); - e_data.probe_planar_display_sh = DRW_shader_create(vert_str, NULL, shader_str, NULL); + e_data.probe_planar_display_sh = DRW_shader_create(vert_str, NULL, shader_str, NULL); - MEM_freeN(vert_str); - MEM_freeN(shader_str); - } - return e_data.probe_planar_display_sh; + MEM_freeN(vert_str); + MEM_freeN(shader_str); + } + return e_data.probe_planar_display_sh; } GPUShader *EEVEE_shaders_velocity_resolve_sh_get(void) { - if (e_data.velocity_resolve_sh == NULL) { - char *frag_str = BLI_string_joinN( - datatoc_common_uniforms_lib_glsl, - datatoc_common_view_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_effect_velocity_resolve_frag_glsl); - - e_data.velocity_resolve_sh = DRW_shader_create_fullscreen(frag_str, NULL); - - MEM_freeN(frag_str); - } - return e_data.velocity_resolve_sh; + if (e_data.velocity_resolve_sh == NULL) { + char *frag_str = BLI_string_joinN(datatoc_common_uniforms_lib_glsl, + datatoc_common_view_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_effect_velocity_resolve_frag_glsl); + + e_data.velocity_resolve_sh = DRW_shader_create_fullscreen(frag_str, NULL); + + MEM_freeN(frag_str); + } + return e_data.velocity_resolve_sh; } GPUShader *EEVEE_shaders_taa_resolve_sh_get(EEVEE_EffectsFlag enabled_effects) { - GPUShader **sh; - const char *define = NULL; - if (enabled_effects & EFFECT_TAA_REPROJECT) { - sh = &e_data.taa_resolve_reproject_sh; - define = "#define USE_REPROJECTION\n"; - - - - } - else { - sh = &e_data.taa_resolve_sh; - } - if (*sh == NULL) { - char *frag_str = BLI_string_joinN( - datatoc_common_uniforms_lib_glsl, - datatoc_common_view_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_effect_temporal_aa_glsl); - - *sh = DRW_shader_create_fullscreen(frag_str, define); - MEM_freeN(frag_str); - } - - return *sh; + GPUShader **sh; + const char *define = NULL; + if (enabled_effects & EFFECT_TAA_REPROJECT) { + sh = &e_data.taa_resolve_reproject_sh; + define = "#define USE_REPROJECTION\n"; + } + else { + sh = &e_data.taa_resolve_sh; + } + if (*sh == NULL) { + char *frag_str = BLI_string_joinN(datatoc_common_uniforms_lib_glsl, + datatoc_common_view_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_effect_temporal_aa_glsl); + + *sh = DRW_shader_create_fullscreen(frag_str, define); + MEM_freeN(frag_str); + } + + return *sh; } void EEVEE_shaders_free(void) { - DRW_SHADER_FREE_SAFE(e_data.probe_default_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_filter_glossy_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_filter_diffuse_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_filter_visibility_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_grid_fill_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_planar_downsample_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_default_studiolight_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_grid_display_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_cube_display_sh); - DRW_SHADER_FREE_SAFE(e_data.probe_planar_display_sh); - DRW_SHADER_FREE_SAFE(e_data.velocity_resolve_sh); - DRW_SHADER_FREE_SAFE(e_data.taa_resolve_sh); - DRW_SHADER_FREE_SAFE(e_data.taa_resolve_reproject_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_default_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_filter_glossy_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_filter_diffuse_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_filter_visibility_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_grid_fill_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_planar_downsample_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_default_studiolight_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_grid_display_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_cube_display_sh); + DRW_SHADER_FREE_SAFE(e_data.probe_planar_display_sh); + DRW_SHADER_FREE_SAFE(e_data.velocity_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data.taa_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data.taa_resolve_reproject_sh); } diff --git a/source/blender/draw/engines/eevee/eevee_subsurface.c b/source/blender/draw/engines/eevee/eevee_subsurface.c index fe8c2f1e107..cbe0f474ac7 100644 --- a/source/blender/draw/engines/eevee/eevee_subsurface.c +++ b/source/blender/draw/engines/eevee/eevee_subsurface.c @@ -33,7 +33,7 @@ #include "GPU_extensions.h" static struct { - struct GPUShader *sss_sh[4]; + struct GPUShader *sss_sh[4]; } e_data = {{NULL}}; /* Engine data */ extern char datatoc_common_view_lib_glsl[]; @@ -42,327 +42,322 @@ extern char datatoc_effect_subsurface_frag_glsl[]; static void eevee_create_shader_subsurface(void) { - char *frag_str = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_effect_subsurface_frag_glsl); - - e_data.sss_sh[0] = DRW_shader_create_fullscreen(frag_str, "#define FIRST_PASS\n"); - e_data.sss_sh[1] = DRW_shader_create_fullscreen(frag_str, "#define SECOND_PASS\n"); - e_data.sss_sh[2] = DRW_shader_create_fullscreen(frag_str, "#define SECOND_PASS\n" - "#define USE_SEP_ALBEDO\n"); - e_data.sss_sh[3] = DRW_shader_create_fullscreen(frag_str, "#define SECOND_PASS\n" - "#define USE_SEP_ALBEDO\n" - "#define RESULT_ACCUM\n"); - - MEM_freeN(frag_str); + char *frag_str = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_effect_subsurface_frag_glsl); + + e_data.sss_sh[0] = DRW_shader_create_fullscreen(frag_str, "#define FIRST_PASS\n"); + e_data.sss_sh[1] = DRW_shader_create_fullscreen(frag_str, "#define SECOND_PASS\n"); + e_data.sss_sh[2] = DRW_shader_create_fullscreen(frag_str, + "#define SECOND_PASS\n" + "#define USE_SEP_ALBEDO\n"); + e_data.sss_sh[3] = DRW_shader_create_fullscreen(frag_str, + "#define SECOND_PASS\n" + "#define USE_SEP_ALBEDO\n" + "#define RESULT_ACCUM\n"); + + MEM_freeN(frag_str); } int EEVEE_subsurface_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const float *viewport_size = DRW_viewport_size_get(); - const int fs_size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_SSS_ENABLED) { - effects->sss_sample_count = 1 + scene_eval->eevee.sss_samples * 2; - effects->sss_separate_albedo = (scene_eval->eevee.flag & SCE_EEVEE_SSS_SEPARATE_ALBEDO) != 0; - common_data->sss_jitter_threshold = scene_eval->eevee.sss_jitter_threshold; - - /* Shaders */ - if (!e_data.sss_sh[0]) { - eevee_create_shader_subsurface(); - } - - /* NOTE : we need another stencil because the stencil buffer is on the same texture - * as the depth buffer we are sampling from. This could be avoided if the stencil is - * a separate texture but that needs OpenGL 4.4 or ARB_texture_stencil8. - * OR OpenGL 4.3 / ARB_ES3_compatibility if using a renderbuffer instead */ - effects->sss_stencil = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_DEPTH24_STENCIL8, - &draw_engine_eevee_type); - effects->sss_blur = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_RGBA16F, - &draw_engine_eevee_type); - effects->sss_data = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_RGBA16F, - &draw_engine_eevee_type); - - GPUTexture *stencil_tex = effects->sss_stencil; - - if (GPU_depth_blitting_workaround()) { - /* Blitting stencil buffer does not work on macOS + Radeon Pro. - * Blit depth instead and use sss_stencil's depth as depth texture, - * and dtxl->depth as stencil mask. */ - GPU_framebuffer_ensure_config(&fbl->sss_blit_fb, { - GPU_ATTACHMENT_TEXTURE(effects->sss_stencil), - GPU_ATTACHMENT_NONE - }); - - stencil_tex = dtxl->depth; - } - - GPU_framebuffer_ensure_config(&fbl->sss_blur_fb, { - GPU_ATTACHMENT_TEXTURE(stencil_tex), - GPU_ATTACHMENT_TEXTURE(effects->sss_blur) - }); - - GPU_framebuffer_ensure_config(&fbl->sss_resolve_fb, { - GPU_ATTACHMENT_TEXTURE(stencil_tex), - GPU_ATTACHMENT_TEXTURE(txl->color) - }); - - GPU_framebuffer_ensure_config(&fbl->sss_clear_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(effects->sss_data) - }); - - if (effects->sss_separate_albedo) { - effects->sss_albedo = DRW_texture_pool_query_2d(fs_size[0], fs_size[1], GPU_R11F_G11F_B10F, - &draw_engine_eevee_type); - } - else { - effects->sss_albedo = NULL; - } - return EFFECT_SSS; - } - - /* Cleanup to release memory */ - GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_blur_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_resolve_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_clear_fb); - effects->sss_stencil = NULL; - effects->sss_blur = NULL; - effects->sss_data = NULL; - - return 0; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const float *viewport_size = DRW_viewport_size_get(); + const int fs_size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_SSS_ENABLED) { + effects->sss_sample_count = 1 + scene_eval->eevee.sss_samples * 2; + effects->sss_separate_albedo = (scene_eval->eevee.flag & SCE_EEVEE_SSS_SEPARATE_ALBEDO) != 0; + common_data->sss_jitter_threshold = scene_eval->eevee.sss_jitter_threshold; + + /* Shaders */ + if (!e_data.sss_sh[0]) { + eevee_create_shader_subsurface(); + } + + /* NOTE : we need another stencil because the stencil buffer is on the same texture + * as the depth buffer we are sampling from. This could be avoided if the stencil is + * a separate texture but that needs OpenGL 4.4 or ARB_texture_stencil8. + * OR OpenGL 4.3 / ARB_ES3_compatibility if using a renderbuffer instead */ + effects->sss_stencil = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_DEPTH24_STENCIL8, &draw_engine_eevee_type); + effects->sss_blur = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_RGBA16F, &draw_engine_eevee_type); + effects->sss_data = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_RGBA16F, &draw_engine_eevee_type); + + GPUTexture *stencil_tex = effects->sss_stencil; + + if (GPU_depth_blitting_workaround()) { + /* Blitting stencil buffer does not work on macOS + Radeon Pro. + * Blit depth instead and use sss_stencil's depth as depth texture, + * and dtxl->depth as stencil mask. */ + GPU_framebuffer_ensure_config( + &fbl->sss_blit_fb, {GPU_ATTACHMENT_TEXTURE(effects->sss_stencil), GPU_ATTACHMENT_NONE}); + + stencil_tex = dtxl->depth; + } + + GPU_framebuffer_ensure_config( + &fbl->sss_blur_fb, + {GPU_ATTACHMENT_TEXTURE(stencil_tex), GPU_ATTACHMENT_TEXTURE(effects->sss_blur)}); + + GPU_framebuffer_ensure_config( + &fbl->sss_resolve_fb, + {GPU_ATTACHMENT_TEXTURE(stencil_tex), GPU_ATTACHMENT_TEXTURE(txl->color)}); + + GPU_framebuffer_ensure_config( + &fbl->sss_clear_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(effects->sss_data)}); + + if (effects->sss_separate_albedo) { + effects->sss_albedo = DRW_texture_pool_query_2d( + fs_size[0], fs_size[1], GPU_R11F_G11F_B10F, &draw_engine_eevee_type); + } + else { + effects->sss_albedo = NULL; + } + return EFFECT_SSS; + } + + /* Cleanup to release memory */ + GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_blur_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_resolve_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_clear_fb); + effects->sss_stencil = NULL; + effects->sss_blur = NULL; + effects->sss_data = NULL; + + return 0; } static void set_shgrp_stencil(void *UNUSED(userData), DRWShadingGroup *shgrp) { - DRW_shgroup_stencil_mask(shgrp, 255); + DRW_shgroup_stencil_mask(shgrp, 255); } void EEVEE_subsurface_output_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if (scene_eval->eevee.flag & SCE_EEVEE_SSS_ENABLED) { - DRW_texture_ensure_fullscreen_2d(&txl->sss_dir_accum, GPU_RGBA16F, 0); - DRW_texture_ensure_fullscreen_2d(&txl->sss_col_accum, GPU_RGBA16F, 0); - - GPUTexture *stencil_tex = effects->sss_stencil; - - if (GPU_depth_blitting_workaround()) { - /* Blitting stencil buffer does not work on macOS + Radeon Pro. - * Blit depth instead and use sss_stencil's depth as depth texture, - * and dtxl->depth as stencil mask. */ - stencil_tex = dtxl->depth; - } - - GPU_framebuffer_ensure_config(&fbl->sss_accum_fb, { - GPU_ATTACHMENT_TEXTURE(stencil_tex), - GPU_ATTACHMENT_TEXTURE(txl->sss_dir_accum), - GPU_ATTACHMENT_TEXTURE(txl->sss_col_accum) - }); - - /* Clear texture. */ - float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - GPU_framebuffer_bind(fbl->sss_accum_fb); - GPU_framebuffer_clear_color(fbl->sss_accum_fb, clear); - - /* Make the opaque refraction pass mask the sss. */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | - DRW_STATE_WIRE | DRW_STATE_WRITE_STENCIL; - DRW_pass_state_set(vedata->psl->refract_pass, state); - DRW_pass_foreach_shgroup(vedata->psl->refract_pass, &set_shgrp_stencil, NULL); - } - else { - /* Cleanup to release memory */ - DRW_TEXTURE_FREE_SAFE(txl->sss_dir_accum); - DRW_TEXTURE_FREE_SAFE(txl->sss_col_accum); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_accum_fb); - } + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if (scene_eval->eevee.flag & SCE_EEVEE_SSS_ENABLED) { + DRW_texture_ensure_fullscreen_2d(&txl->sss_dir_accum, GPU_RGBA16F, 0); + DRW_texture_ensure_fullscreen_2d(&txl->sss_col_accum, GPU_RGBA16F, 0); + + GPUTexture *stencil_tex = effects->sss_stencil; + + if (GPU_depth_blitting_workaround()) { + /* Blitting stencil buffer does not work on macOS + Radeon Pro. + * Blit depth instead and use sss_stencil's depth as depth texture, + * and dtxl->depth as stencil mask. */ + stencil_tex = dtxl->depth; + } + + GPU_framebuffer_ensure_config(&fbl->sss_accum_fb, + {GPU_ATTACHMENT_TEXTURE(stencil_tex), + GPU_ATTACHMENT_TEXTURE(txl->sss_dir_accum), + GPU_ATTACHMENT_TEXTURE(txl->sss_col_accum)}); + + /* Clear texture. */ + float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + GPU_framebuffer_bind(fbl->sss_accum_fb); + GPU_framebuffer_clear_color(fbl->sss_accum_fb, clear); + + /* Make the opaque refraction pass mask the sss. */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_CLIP_PLANES | + DRW_STATE_WIRE | DRW_STATE_WRITE_STENCIL; + DRW_pass_state_set(vedata->psl->refract_pass, state); + DRW_pass_foreach_shgroup(vedata->psl->refract_pass, &set_shgrp_stencil, NULL); + } + else { + /* Cleanup to release memory */ + DRW_TEXTURE_FREE_SAFE(txl->sss_dir_accum); + DRW_TEXTURE_FREE_SAFE(txl->sss_col_accum); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->sss_accum_fb); + } } void EEVEE_subsurface_cache_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_SSS) != 0) { - /** Screen Space SubSurface Scattering overview - * TODO - */ - psl->sss_blur_ps = DRW_pass_create("Blur Horiz", DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_EQUAL); - - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE | DRW_STATE_STENCIL_EQUAL; - psl->sss_resolve_ps = DRW_pass_create("Blur Vert", state); - psl->sss_accum_ps = DRW_pass_create("Resolve Accum", state); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_SSS) != 0) { + /** Screen Space SubSurface Scattering overview + * TODO + */ + psl->sss_blur_ps = DRW_pass_create("Blur Horiz", + DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_EQUAL); + + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE | DRW_STATE_STENCIL_EQUAL; + psl->sss_resolve_ps = DRW_pass_create("Blur Vert", state); + psl->sss_accum_ps = DRW_pass_create("Resolve Accum", state); + } } -void EEVEE_subsurface_add_pass( - EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, uint sss_id, struct GPUUniformBuffer *sss_profile) +void EEVEE_subsurface_add_pass(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + uint sss_id, + struct GPUUniformBuffer *sss_profile) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - GPUTexture **depth_src = GPU_depth_blitting_workaround() ? &effects->sss_stencil : &dtxl->depth; - - DRWShadingGroup *grp = DRW_shgroup_create(e_data.sss_sh[0], psl->sss_blur_ps); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); - DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_data); - DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_stencil_mask(grp, sss_id); - DRW_shgroup_call_add(grp, quad, NULL); - - struct GPUShader *sh = (effects->sss_separate_albedo) ? e_data.sss_sh[2] : e_data.sss_sh[1]; - grp = DRW_shgroup_create(sh, psl->sss_resolve_ps); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); - DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_blur); - DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_stencil_mask(grp, sss_id); - DRW_shgroup_call_add(grp, quad, NULL); - - if (effects->sss_separate_albedo) { - DRW_shgroup_uniform_texture_ref(grp, "sssAlbedo", &effects->sss_albedo); - } - - if (DRW_state_is_image_render()) { - grp = DRW_shgroup_create(e_data.sss_sh[3], psl->sss_accum_ps); - DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); - DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_blur); - DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_stencil_mask(grp, sss_id); - DRW_shgroup_call_add(grp, quad, NULL); - - if (effects->sss_separate_albedo) { - DRW_shgroup_uniform_texture_ref(grp, "sssAlbedo", &effects->sss_albedo); - } - } + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + GPUTexture **depth_src = GPU_depth_blitting_workaround() ? &effects->sss_stencil : &dtxl->depth; + + DRWShadingGroup *grp = DRW_shgroup_create(e_data.sss_sh[0], psl->sss_blur_ps); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); + DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_data); + DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_stencil_mask(grp, sss_id); + DRW_shgroup_call_add(grp, quad, NULL); + + struct GPUShader *sh = (effects->sss_separate_albedo) ? e_data.sss_sh[2] : e_data.sss_sh[1]; + grp = DRW_shgroup_create(sh, psl->sss_resolve_ps); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); + DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_blur); + DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_stencil_mask(grp, sss_id); + DRW_shgroup_call_add(grp, quad, NULL); + + if (effects->sss_separate_albedo) { + DRW_shgroup_uniform_texture_ref(grp, "sssAlbedo", &effects->sss_albedo); + } + + if (DRW_state_is_image_render()) { + grp = DRW_shgroup_create(e_data.sss_sh[3], psl->sss_accum_ps); + DRW_shgroup_uniform_texture(grp, "utilTex", EEVEE_materials_get_util_tex()); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", depth_src); + DRW_shgroup_uniform_texture_ref(grp, "sssData", &effects->sss_blur); + DRW_shgroup_uniform_block(grp, "sssProfile", sss_profile); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_stencil_mask(grp, sss_id); + DRW_shgroup_call_add(grp, quad, NULL); + + if (effects->sss_separate_albedo) { + DRW_shgroup_uniform_texture_ref(grp, "sssAlbedo", &effects->sss_albedo); + } + } } void EEVEE_subsurface_data_render(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_SSS) != 0) { - float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - /* Clear sss_data texture only... can this be done in a more clever way? */ - GPU_framebuffer_bind(fbl->sss_clear_fb); - GPU_framebuffer_clear_color(fbl->sss_clear_fb, clear); - - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_TEXTURE(effects->sss_data), - GPU_ATTACHMENT_TEXTURE(effects->sss_albedo) - }); - - GPU_framebuffer_bind(fbl->main_fb); - DRW_draw_pass(psl->sss_pass); - DRW_draw_pass(psl->sss_pass_cull); - - /* Restore */ - GPU_framebuffer_ensure_config(&fbl->main_fb, { - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_LEAVE, - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_NONE - }); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_SSS) != 0) { + float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + /* Clear sss_data texture only... can this be done in a more clever way? */ + GPU_framebuffer_bind(fbl->sss_clear_fb); + GPU_framebuffer_clear_color(fbl->sss_clear_fb, clear); + + GPU_framebuffer_ensure_config(&fbl->main_fb, + {GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_TEXTURE(effects->sss_data), + GPU_ATTACHMENT_TEXTURE(effects->sss_albedo)}); + + GPU_framebuffer_bind(fbl->main_fb); + DRW_draw_pass(psl->sss_pass); + DRW_draw_pass(psl->sss_pass_cull); + + /* Restore */ + GPU_framebuffer_ensure_config(&fbl->main_fb, + {GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_LEAVE, + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_NONE}); + } } void EEVEE_subsurface_compute(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_SSS) != 0) { - float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - DRW_stats_group_start("SSS"); - - if (GPU_depth_blitting_workaround()) { - /* Copy depth channel */ - GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blit_fb, 0, GPU_DEPTH_BIT); - } - else { - /* Copy stencil channel, could be avoided (see EEVEE_subsurface_init) */ - GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blur_fb, 0, GPU_STENCIL_BIT); - } - - /* 1. horizontal pass */ - GPU_framebuffer_bind(fbl->sss_blur_fb); - GPU_framebuffer_clear_color(fbl->sss_blur_fb, clear); - DRW_draw_pass(psl->sss_blur_ps); - - /* 2. vertical pass + Resolve */ - GPU_framebuffer_texture_attach(fbl->sss_resolve_fb, txl->color, 0, 0); - GPU_framebuffer_bind(fbl->sss_resolve_fb); - DRW_draw_pass(psl->sss_resolve_ps); - - GPU_framebuffer_bind(fbl->main_fb); - DRW_stats_group_end(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_SSS) != 0) { + float clear[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + DRW_stats_group_start("SSS"); + + if (GPU_depth_blitting_workaround()) { + /* Copy depth channel */ + GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blit_fb, 0, GPU_DEPTH_BIT); + } + else { + /* Copy stencil channel, could be avoided (see EEVEE_subsurface_init) */ + GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blur_fb, 0, GPU_STENCIL_BIT); + } + + /* 1. horizontal pass */ + GPU_framebuffer_bind(fbl->sss_blur_fb); + GPU_framebuffer_clear_color(fbl->sss_blur_fb, clear); + DRW_draw_pass(psl->sss_blur_ps); + + /* 2. vertical pass + Resolve */ + GPU_framebuffer_texture_attach(fbl->sss_resolve_fb, txl->color, 0, 0); + GPU_framebuffer_bind(fbl->sss_resolve_fb); + DRW_draw_pass(psl->sss_resolve_ps); + + GPU_framebuffer_bind(fbl->main_fb); + DRW_stats_group_end(); + } } void EEVEE_subsurface_output_accumulate(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if (((effects->enabled_effects & EFFECT_SSS) != 0) && (fbl->sss_accum_fb != NULL)) { - /* Copy stencil channel, could be avoided (see EEVEE_subsurface_init) */ - GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blur_fb, 0, GPU_STENCIL_BIT); - - /* Only do vertical pass + Resolve */ - GPU_framebuffer_bind(fbl->sss_accum_fb); - DRW_draw_pass(psl->sss_accum_ps); - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if (((effects->enabled_effects & EFFECT_SSS) != 0) && (fbl->sss_accum_fb != NULL)) { + /* Copy stencil channel, could be avoided (see EEVEE_subsurface_init) */ + GPU_framebuffer_blit(fbl->main_fb, 0, fbl->sss_blur_fb, 0, GPU_STENCIL_BIT); + + /* Only do vertical pass + Resolve */ + GPU_framebuffer_bind(fbl->sss_accum_fb); + DRW_draw_pass(psl->sss_accum_ps); + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + } } void EEVEE_subsurface_free(void) { - DRW_SHADER_FREE_SAFE(e_data.sss_sh[0]); - DRW_SHADER_FREE_SAFE(e_data.sss_sh[1]); - DRW_SHADER_FREE_SAFE(e_data.sss_sh[2]); - DRW_SHADER_FREE_SAFE(e_data.sss_sh[3]); + DRW_SHADER_FREE_SAFE(e_data.sss_sh[0]); + DRW_SHADER_FREE_SAFE(e_data.sss_sh[1]); + DRW_SHADER_FREE_SAFE(e_data.sss_sh[2]); + DRW_SHADER_FREE_SAFE(e_data.sss_sh[3]); } diff --git a/source/blender/draw/engines/eevee/eevee_temporal_sampling.c b/source/blender/draw/engines/eevee/eevee_temporal_sampling.c index fd3a23b36e0..54ceb1a167a 100644 --- a/source/blender/draw/engines/eevee/eevee_temporal_sampling.c +++ b/source/blender/draw/engines/eevee/eevee_temporal_sampling.c @@ -36,9 +36,9 @@ #define FILTER_CDF_TABLE_SIZE 512 static struct { - /* Pixel filter table: Only blackman-harris for now. */ - bool inited; - float inverted_cdf[FILTER_CDF_TABLE_SIZE]; + /* Pixel filter table: Only blackman-harris for now. */ + bool inited; + float inverted_cdf[FILTER_CDF_TABLE_SIZE]; } e_data = {false}; /* Engine data */ extern char datatoc_common_uniforms_lib_glsl[]; @@ -47,307 +47,305 @@ extern char datatoc_bsdf_common_lib_glsl[]; static float UNUSED_FUNCTION(filter_box)(float UNUSED(x)) { - return 1.0f; + return 1.0f; } static float filter_blackman_harris(float x) { - /* Hardcoded 1px footprint [-0.5..0.5]. We resize later. */ - const float width = 1.0f; - x = 2.0f * M_PI * (x / width + 0.5f); - return 0.35875f - 0.48829f * cosf(x) + 0.14128f * cosf(2.0f * x) - 0.01168f * cosf(3.0f * x); + /* Hardcoded 1px footprint [-0.5..0.5]. We resize later. */ + const float width = 1.0f; + x = 2.0f * M_PI * (x / width + 0.5f); + return 0.35875f - 0.48829f * cosf(x) + 0.14128f * cosf(2.0f * x) - 0.01168f * cosf(3.0f * x); } /* Compute cumulative distribution function of a discrete function. */ static void compute_cdf(float (*func)(float x), float cdf[FILTER_CDF_TABLE_SIZE]) { - cdf[0] = 0.0f; - /* Actual CDF evaluation. */ - for (int u = 0; u < FILTER_CDF_TABLE_SIZE - 1; ++u) { - float x = (float)(u + 1) / (float)(FILTER_CDF_TABLE_SIZE - 1); - cdf[u + 1] = cdf[u] + func(x - 0.5f); /* [-0.5..0.5]. We resize later. */ - } - /* Normalize the CDF. */ - for (int u = 0; u < FILTER_CDF_TABLE_SIZE - 1; u++) { - cdf[u] /= cdf[FILTER_CDF_TABLE_SIZE - 1]; - } - /* Just to make sure. */ - cdf[FILTER_CDF_TABLE_SIZE - 1] = 1.0f; + cdf[0] = 0.0f; + /* Actual CDF evaluation. */ + for (int u = 0; u < FILTER_CDF_TABLE_SIZE - 1; ++u) { + float x = (float)(u + 1) / (float)(FILTER_CDF_TABLE_SIZE - 1); + cdf[u + 1] = cdf[u] + func(x - 0.5f); /* [-0.5..0.5]. We resize later. */ + } + /* Normalize the CDF. */ + for (int u = 0; u < FILTER_CDF_TABLE_SIZE - 1; u++) { + cdf[u] /= cdf[FILTER_CDF_TABLE_SIZE - 1]; + } + /* Just to make sure. */ + cdf[FILTER_CDF_TABLE_SIZE - 1] = 1.0f; } -static void invert_cdf(const float cdf[FILTER_CDF_TABLE_SIZE], float invert_cdf[FILTER_CDF_TABLE_SIZE]) +static void invert_cdf(const float cdf[FILTER_CDF_TABLE_SIZE], + float invert_cdf[FILTER_CDF_TABLE_SIZE]) { - for (int u = 0; u < FILTER_CDF_TABLE_SIZE; u++) { - float x = (float)u / (float)(FILTER_CDF_TABLE_SIZE - 1); - for (int i = 0; i < FILTER_CDF_TABLE_SIZE; ++i) { - if (cdf[i] >= x) { - if (i == FILTER_CDF_TABLE_SIZE - 1) { - invert_cdf[u] = 1.0f; - } - else { - float t = (x - cdf[i]) / (cdf[i + 1] - cdf[i]); - invert_cdf[u] = ((float)i + t) / (float)(FILTER_CDF_TABLE_SIZE - 1); - } - break; - } - } - } + for (int u = 0; u < FILTER_CDF_TABLE_SIZE; u++) { + float x = (float)u / (float)(FILTER_CDF_TABLE_SIZE - 1); + for (int i = 0; i < FILTER_CDF_TABLE_SIZE; ++i) { + if (cdf[i] >= x) { + if (i == FILTER_CDF_TABLE_SIZE - 1) { + invert_cdf[u] = 1.0f; + } + else { + float t = (x - cdf[i]) / (cdf[i + 1] - cdf[i]); + invert_cdf[u] = ((float)i + t) / (float)(FILTER_CDF_TABLE_SIZE - 1); + } + break; + } + } + } } /* Evaluate a discrete function table with linear interpolation. */ static float eval_table(float *table, float x) { - CLAMP(x, 0.0f, 1.0f); - x = x * (FILTER_CDF_TABLE_SIZE - 1); + CLAMP(x, 0.0f, 1.0f); + x = x * (FILTER_CDF_TABLE_SIZE - 1); - int index = min_ii((int)(x), FILTER_CDF_TABLE_SIZE - 1); - int nindex = min_ii(index + 1, FILTER_CDF_TABLE_SIZE - 1); - float t = x - index; + int index = min_ii((int)(x), FILTER_CDF_TABLE_SIZE - 1); + int nindex = min_ii(index + 1, FILTER_CDF_TABLE_SIZE - 1); + float t = x - index; - return (1.0f - t) * table[index] + t * table[nindex]; + return (1.0f - t) * table[index] + t * table[nindex]; } static void eevee_create_cdf_table_temporal_sampling(void) { - float *cdf_table = MEM_mallocN(sizeof(float) * FILTER_CDF_TABLE_SIZE, "Eevee Filter CDF table"); + float *cdf_table = MEM_mallocN(sizeof(float) * FILTER_CDF_TABLE_SIZE, "Eevee Filter CDF table"); - float filter_width = 2.0f; /* Use a 2 pixel footprint by default. */ + float filter_width = 2.0f; /* Use a 2 pixel footprint by default. */ - { - /* Use blackman-harris filter. */ - filter_width *= 2.0f; - compute_cdf(filter_blackman_harris, cdf_table); - } + { + /* Use blackman-harris filter. */ + filter_width *= 2.0f; + compute_cdf(filter_blackman_harris, cdf_table); + } - invert_cdf(cdf_table, e_data.inverted_cdf); + invert_cdf(cdf_table, e_data.inverted_cdf); - /* Scale and offset table. */ - for (int i = 0; i < FILTER_CDF_TABLE_SIZE; ++i) { - e_data.inverted_cdf[i] = (e_data.inverted_cdf[i] - 0.5f) * filter_width; - } + /* Scale and offset table. */ + for (int i = 0; i < FILTER_CDF_TABLE_SIZE; ++i) { + e_data.inverted_cdf[i] = (e_data.inverted_cdf[i] - 0.5f) * filter_width; + } - MEM_freeN(cdf_table); - e_data.inited = true; + MEM_freeN(cdf_table); + e_data.inited = true; } -void EEVEE_temporal_sampling_matrices_calc( - EEVEE_EffectsInfo *effects, float viewmat[4][4], float persmat[4][4], const double ht_point[2]) +void EEVEE_temporal_sampling_matrices_calc(EEVEE_EffectsInfo *effects, + float viewmat[4][4], + float persmat[4][4], + const double ht_point[2]) { - const float *viewport_size = DRW_viewport_size_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - RenderData *rd = &scene->r; + const float *viewport_size = DRW_viewport_size_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + RenderData *rd = &scene->r; - float filter_size = rd->gauss; /* Sigh.. Stupid legacy naming. */ + float filter_size = rd->gauss; /* Sigh.. Stupid legacy naming. */ - float ofs_x = eval_table(e_data.inverted_cdf, (float)(ht_point[0])) * filter_size; - float ofs_y = eval_table(e_data.inverted_cdf, (float)(ht_point[1])) * filter_size; + float ofs_x = eval_table(e_data.inverted_cdf, (float)(ht_point[0])) * filter_size; + float ofs_y = eval_table(e_data.inverted_cdf, (float)(ht_point[1])) * filter_size; - window_translate_m4( - effects->overide_winmat, persmat, - ofs_x / viewport_size[0], - ofs_y / viewport_size[1]); + window_translate_m4( + effects->overide_winmat, persmat, ofs_x / viewport_size[0], ofs_y / viewport_size[1]); - mul_m4_m4m4(effects->overide_persmat, effects->overide_winmat, viewmat); - invert_m4_m4(effects->overide_persinv, effects->overide_persmat); - invert_m4_m4(effects->overide_wininv, effects->overide_winmat); + mul_m4_m4m4(effects->overide_persmat, effects->overide_winmat, viewmat); + invert_m4_m4(effects->overide_persinv, effects->overide_persmat); + invert_m4_m4(effects->overide_wininv, effects->overide_winmat); } void EEVEE_temporal_sampling_reset(EEVEE_Data *vedata) { - vedata->stl->effects->taa_render_sample = 1; + vedata->stl->effects->taa_render_sample = 1; } int EEVEE_temporal_sampling_init(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - // EEVEE_FramebufferList *fbl = vedata->fbl; - // EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - int repro_flag = 0; - - if (!e_data.inited) { - eevee_create_cdf_table_temporal_sampling(); - } - - /* Reset for each "redraw". When rendering using ogl render, - * we accumulate the redraw inside the drawing loop in eevee_draw_background(). - * But we do NOT accumulate between "redraw" (as in full draw manager drawloop) - * because the opengl render already does that. */ - effects->taa_render_sample = 1; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - if ((scene_eval->eevee.taa_samples != 1) || - DRW_state_is_image_render()) - { - float persmat[4][4], viewmat[4][4]; - - if (!DRW_state_is_image_render() && - (scene_eval->eevee.flag & SCE_EEVEE_TAA_REPROJECTION)) - { - repro_flag = EFFECT_TAA_REPROJECT | EFFECT_VELOCITY_BUFFER | EFFECT_DEPTH_DOUBLE_BUFFER | EFFECT_DOUBLE_BUFFER | EFFECT_POST_BUFFER; - effects->taa_reproject_sample = ((effects->taa_reproject_sample + 1) % 16); - } - - /* Until we support reprojection, we need to make sure - * that the history buffer contains correct information. */ - bool view_is_valid = stl->g_data->valid_double_buffer; - - view_is_valid = view_is_valid && (stl->g_data->view_updated == false); - - if (draw_ctx->evil_C != NULL) { - struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); - view_is_valid = view_is_valid && (ED_screen_animation_no_scrub(wm) == NULL); - } - - effects->taa_total_sample = scene_eval->eevee.taa_samples; - MAX2(effects->taa_total_sample, 0); - - DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); - DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_get(effects->overide_winmat, DRW_MAT_WIN); - /* The view is jittered by the oglrenderer. So avoid testing in this case. */ - if (!DRW_state_is_image_render()) { - view_is_valid = view_is_valid && compare_m4m4(persmat, effects->prev_drw_persmat, FLT_MIN); - copy_m4_m4(effects->prev_drw_persmat, persmat); - } - - /* Prevent ghosting from probe data. */ - view_is_valid = view_is_valid && (effects->prev_drw_support == DRW_state_draw_support()); - effects->prev_drw_support = DRW_state_draw_support(); - - if (((effects->taa_total_sample == 0) || (effects->taa_current_sample < effects->taa_total_sample)) || - DRW_state_is_image_render()) - { - if (view_is_valid) { - /* OGL render already jitter the camera. */ - if (!DRW_state_is_image_render()) { - effects->taa_current_sample += 1; - repro_flag = 0; - - double ht_point[2]; - double ht_offset[2] = {0.0, 0.0}; - uint ht_primes[2] = {2, 3}; - - BLI_halton_2d(ht_primes, ht_offset, effects->taa_current_sample - 1, ht_point); - - EEVEE_temporal_sampling_matrices_calc(effects, viewmat, persmat, ht_point); - - DRW_viewport_matrix_override_set(effects->overide_persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(effects->overide_persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(effects->overide_winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(effects->overide_wininv, DRW_MAT_WININV); - } - } - else { - effects->taa_current_sample = 1; - } - } - else { - effects->taa_current_sample = 1; - } - - return repro_flag | EFFECT_TAA | EFFECT_DOUBLE_BUFFER | EFFECT_DEPTH_DOUBLE_BUFFER | EFFECT_POST_BUFFER; - } - - effects->taa_current_sample = 1; - - return repro_flag; + EEVEE_StorageList *stl = vedata->stl; + // EEVEE_FramebufferList *fbl = vedata->fbl; + // EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + int repro_flag = 0; + + if (!e_data.inited) { + eevee_create_cdf_table_temporal_sampling(); + } + + /* Reset for each "redraw". When rendering using ogl render, + * we accumulate the redraw inside the drawing loop in eevee_draw_background(). + * But we do NOT accumulate between "redraw" (as in full draw manager drawloop) + * because the opengl render already does that. */ + effects->taa_render_sample = 1; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + if ((scene_eval->eevee.taa_samples != 1) || DRW_state_is_image_render()) { + float persmat[4][4], viewmat[4][4]; + + if (!DRW_state_is_image_render() && (scene_eval->eevee.flag & SCE_EEVEE_TAA_REPROJECTION)) { + repro_flag = EFFECT_TAA_REPROJECT | EFFECT_VELOCITY_BUFFER | EFFECT_DEPTH_DOUBLE_BUFFER | + EFFECT_DOUBLE_BUFFER | EFFECT_POST_BUFFER; + effects->taa_reproject_sample = ((effects->taa_reproject_sample + 1) % 16); + } + + /* Until we support reprojection, we need to make sure + * that the history buffer contains correct information. */ + bool view_is_valid = stl->g_data->valid_double_buffer; + + view_is_valid = view_is_valid && (stl->g_data->view_updated == false); + + if (draw_ctx->evil_C != NULL) { + struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); + view_is_valid = view_is_valid && (ED_screen_animation_no_scrub(wm) == NULL); + } + + effects->taa_total_sample = scene_eval->eevee.taa_samples; + MAX2(effects->taa_total_sample, 0); + + DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); + DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_get(effects->overide_winmat, DRW_MAT_WIN); + /* The view is jittered by the oglrenderer. So avoid testing in this case. */ + if (!DRW_state_is_image_render()) { + view_is_valid = view_is_valid && compare_m4m4(persmat, effects->prev_drw_persmat, FLT_MIN); + copy_m4_m4(effects->prev_drw_persmat, persmat); + } + + /* Prevent ghosting from probe data. */ + view_is_valid = view_is_valid && (effects->prev_drw_support == DRW_state_draw_support()); + effects->prev_drw_support = DRW_state_draw_support(); + + if (((effects->taa_total_sample == 0) || + (effects->taa_current_sample < effects->taa_total_sample)) || + DRW_state_is_image_render()) { + if (view_is_valid) { + /* OGL render already jitter the camera. */ + if (!DRW_state_is_image_render()) { + effects->taa_current_sample += 1; + repro_flag = 0; + + double ht_point[2]; + double ht_offset[2] = {0.0, 0.0}; + uint ht_primes[2] = {2, 3}; + + BLI_halton_2d(ht_primes, ht_offset, effects->taa_current_sample - 1, ht_point); + + EEVEE_temporal_sampling_matrices_calc(effects, viewmat, persmat, ht_point); + + DRW_viewport_matrix_override_set(effects->overide_persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(effects->overide_persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(effects->overide_winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(effects->overide_wininv, DRW_MAT_WININV); + } + } + else { + effects->taa_current_sample = 1; + } + } + else { + effects->taa_current_sample = 1; + } + + return repro_flag | EFFECT_TAA | EFFECT_DOUBLE_BUFFER | EFFECT_DEPTH_DOUBLE_BUFFER | + EFFECT_POST_BUFFER; + } + + effects->taa_current_sample = 1; + + return repro_flag; } void EEVEE_temporal_sampling_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { - struct GPUShader *sh = EEVEE_shaders_taa_resolve_sh_get(effects->enabled_effects); - - psl->taa_resolve = DRW_pass_create("Temporal AA Resolve", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(sh, psl->taa_resolve); - - DRW_shgroup_uniform_texture_ref(grp, "colorHistoryBuffer", &txl->taa_history); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - if (effects->enabled_effects & EFFECT_TAA_REPROJECT) { - // DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - DRW_shgroup_uniform_texture_ref(grp, "velocityBuffer", &effects->velocity_tx); - } - else { - DRW_shgroup_uniform_float(grp, "alpha", &effects->taa_alpha, 1); - } - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { + struct GPUShader *sh = EEVEE_shaders_taa_resolve_sh_get(effects->enabled_effects); + + psl->taa_resolve = DRW_pass_create("Temporal AA Resolve", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(sh, psl->taa_resolve); + + DRW_shgroup_uniform_texture_ref(grp, "colorHistoryBuffer", &txl->taa_history); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", &effects->source_buffer); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + if (effects->enabled_effects & EFFECT_TAA_REPROJECT) { + // DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + DRW_shgroup_uniform_texture_ref(grp, "velocityBuffer", &effects->velocity_tx); + } + else { + DRW_shgroup_uniform_float(grp, "alpha", &effects->taa_alpha, 1); + } + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } } void EEVEE_temporal_sampling_draw(EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { - if ((effects->enabled_effects & EFFECT_TAA) != 0 && effects->taa_current_sample != 1) { - if (DRW_state_is_image_render()) { - /* See EEVEE_temporal_sampling_init() for more details. */ - effects->taa_alpha = 1.0f / (float)(effects->taa_render_sample); - } - else { - effects->taa_alpha = 1.0f / (float)(effects->taa_current_sample); - } - - GPU_framebuffer_bind(effects->target_buffer); - DRW_draw_pass(psl->taa_resolve); - - /* Restore the depth from sample 1. */ - if (!DRW_state_is_image_render()) { - GPU_framebuffer_blit(fbl->double_buffer_depth_fb, 0, fbl->main_fb, 0, GPU_DEPTH_BIT); - } - - SWAP_BUFFERS_TAA(); - } - else { - if (!DRW_state_is_image_render()) { - /* Save the depth buffer for the next frame. - * This saves us from doing anything special - * in the other mode engines. */ - GPU_framebuffer_blit(fbl->main_fb, 0, fbl->double_buffer_depth_fb, 0, GPU_DEPTH_BIT); - } - - /* Do reprojection for noise reduction */ - /* TODO : do AA jitter if in only render view. */ - if (!DRW_state_is_image_render() && - (effects->enabled_effects & EFFECT_TAA_REPROJECT) != 0 && - stl->g_data->valid_taa_history) - { - GPU_framebuffer_bind(effects->target_buffer); - DRW_draw_pass(psl->taa_resolve); - SWAP_BUFFERS_TAA(); - } - else { - struct GPUFrameBuffer *source_fb = (effects->target_buffer == fbl->main_color_fb) ? fbl->effect_color_fb : fbl->main_color_fb; - GPU_framebuffer_blit(source_fb, 0, fbl->taa_history_color_fb, 0, GPU_COLOR_BIT); - } - } - - /* Make each loop count when doing a render. */ - if (DRW_state_is_image_render()) { - effects->taa_render_sample += 1; - effects->taa_current_sample += 1; - } - else { - if ((effects->taa_total_sample == 0) || - (effects->taa_current_sample < effects->taa_total_sample)) - { - DRW_viewport_request_redraw(); - } - } - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & (EFFECT_TAA | EFFECT_TAA_REPROJECT)) != 0) { + if ((effects->enabled_effects & EFFECT_TAA) != 0 && effects->taa_current_sample != 1) { + if (DRW_state_is_image_render()) { + /* See EEVEE_temporal_sampling_init() for more details. */ + effects->taa_alpha = 1.0f / (float)(effects->taa_render_sample); + } + else { + effects->taa_alpha = 1.0f / (float)(effects->taa_current_sample); + } + + GPU_framebuffer_bind(effects->target_buffer); + DRW_draw_pass(psl->taa_resolve); + + /* Restore the depth from sample 1. */ + if (!DRW_state_is_image_render()) { + GPU_framebuffer_blit(fbl->double_buffer_depth_fb, 0, fbl->main_fb, 0, GPU_DEPTH_BIT); + } + + SWAP_BUFFERS_TAA(); + } + else { + if (!DRW_state_is_image_render()) { + /* Save the depth buffer for the next frame. + * This saves us from doing anything special + * in the other mode engines. */ + GPU_framebuffer_blit(fbl->main_fb, 0, fbl->double_buffer_depth_fb, 0, GPU_DEPTH_BIT); + } + + /* Do reprojection for noise reduction */ + /* TODO : do AA jitter if in only render view. */ + if (!DRW_state_is_image_render() && (effects->enabled_effects & EFFECT_TAA_REPROJECT) != 0 && + stl->g_data->valid_taa_history) { + GPU_framebuffer_bind(effects->target_buffer); + DRW_draw_pass(psl->taa_resolve); + SWAP_BUFFERS_TAA(); + } + else { + struct GPUFrameBuffer *source_fb = (effects->target_buffer == fbl->main_color_fb) ? + fbl->effect_color_fb : + fbl->main_color_fb; + GPU_framebuffer_blit(source_fb, 0, fbl->taa_history_color_fb, 0, GPU_COLOR_BIT); + } + } + + /* Make each loop count when doing a render. */ + if (DRW_state_is_image_render()) { + effects->taa_render_sample += 1; + effects->taa_current_sample += 1; + } + else { + if ((effects->taa_total_sample == 0) || + (effects->taa_current_sample < effects->taa_total_sample)) { + DRW_viewport_request_redraw(); + } + } + } } diff --git a/source/blender/draw/engines/eevee/eevee_volumes.c b/source/blender/draw/engines/eevee/eevee_volumes.c index 245774f5508..76c8f010142 100644 --- a/source/blender/draw/engines/eevee/eevee_volumes.c +++ b/source/blender/draw/engines/eevee/eevee_volumes.c @@ -45,23 +45,23 @@ #include "GPU_material.h" static struct { - char *volumetric_common_lib; - char *volumetric_common_lights_lib; + char *volumetric_common_lib; + char *volumetric_common_lights_lib; - struct GPUShader *volumetric_clear_sh; - struct GPUShader *volumetric_scatter_sh; - struct GPUShader *volumetric_scatter_with_lights_sh; - struct GPUShader *volumetric_integration_sh; - struct GPUShader *volumetric_resolve_sh; + struct GPUShader *volumetric_clear_sh; + struct GPUShader *volumetric_scatter_sh; + struct GPUShader *volumetric_scatter_with_lights_sh; + struct GPUShader *volumetric_integration_sh; + struct GPUShader *volumetric_resolve_sh; - GPUTexture *color_src; - GPUTexture *depth_src; + GPUTexture *color_src; + GPUTexture *depth_src; - GPUTexture *dummy_density; - GPUTexture *dummy_flame; + GPUTexture *dummy_density; + GPUTexture *dummy_flame; - /* List of all smoke domains rendered within this frame. */ - ListBase smoke_domains; + /* List of all smoke domains rendered within this frame. */ + ListBase smoke_domains; } e_data = {NULL}; /* Engine data */ extern char datatoc_bsdf_common_lib_glsl[]; @@ -81,588 +81,591 @@ extern char datatoc_common_fullscreen_vert_glsl[]; static void eevee_create_shader_volumes(void) { - e_data.volumetric_common_lib = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_volumetric_lib_glsl); - - e_data.volumetric_common_lights_lib = BLI_string_joinN( - datatoc_common_view_lib_glsl, - datatoc_common_uniforms_lib_glsl, - datatoc_bsdf_common_lib_glsl, - datatoc_octahedron_lib_glsl, - datatoc_irradiance_lib_glsl, - datatoc_lights_lib_glsl, - datatoc_volumetric_lib_glsl); - - e_data.volumetric_clear_sh = DRW_shader_create_with_lib( - datatoc_volumetric_vert_glsl, - datatoc_volumetric_geom_glsl, - datatoc_volumetric_frag_glsl, - e_data.volumetric_common_lib, - "#define VOLUMETRICS\n" - "#define CLEAR\n"); - e_data.volumetric_scatter_sh = DRW_shader_create_with_lib( - datatoc_volumetric_vert_glsl, - datatoc_volumetric_geom_glsl, - datatoc_volumetric_scatter_frag_glsl, - e_data.volumetric_common_lights_lib, - SHADER_DEFINES - "#define VOLUMETRICS\n" - "#define VOLUME_SHADOW\n"); - e_data.volumetric_scatter_with_lights_sh = DRW_shader_create_with_lib( - datatoc_volumetric_vert_glsl, - datatoc_volumetric_geom_glsl, - datatoc_volumetric_scatter_frag_glsl, - e_data.volumetric_common_lights_lib, - SHADER_DEFINES - "#define VOLUMETRICS\n" - "#define VOLUME_LIGHTING\n" - "#define VOLUME_SHADOW\n"); - e_data.volumetric_integration_sh = DRW_shader_create_with_lib( - datatoc_volumetric_vert_glsl, - datatoc_volumetric_geom_glsl, - datatoc_volumetric_integration_frag_glsl, - e_data.volumetric_common_lib, NULL); - e_data.volumetric_resolve_sh = DRW_shader_create_with_lib( - datatoc_common_fullscreen_vert_glsl, NULL, - datatoc_volumetric_resolve_frag_glsl, - e_data.volumetric_common_lib, NULL); - - float color[4] = {1.0f, 1.0f, 1.0f, 1.0f}; - e_data.dummy_density = DRW_texture_create_3d(1, 1, 1, GPU_RGBA8, DRW_TEX_WRAP, color); - - float flame = 0.0f; - e_data.dummy_flame = DRW_texture_create_3d(1, 1, 1, GPU_R8, DRW_TEX_WRAP, &flame); + e_data.volumetric_common_lib = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_volumetric_lib_glsl); + + e_data.volumetric_common_lights_lib = BLI_string_joinN(datatoc_common_view_lib_glsl, + datatoc_common_uniforms_lib_glsl, + datatoc_bsdf_common_lib_glsl, + datatoc_octahedron_lib_glsl, + datatoc_irradiance_lib_glsl, + datatoc_lights_lib_glsl, + datatoc_volumetric_lib_glsl); + + e_data.volumetric_clear_sh = DRW_shader_create_with_lib(datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + datatoc_volumetric_frag_glsl, + e_data.volumetric_common_lib, + "#define VOLUMETRICS\n" + "#define CLEAR\n"); + e_data.volumetric_scatter_sh = DRW_shader_create_with_lib(datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + datatoc_volumetric_scatter_frag_glsl, + e_data.volumetric_common_lights_lib, + SHADER_DEFINES + "#define VOLUMETRICS\n" + "#define VOLUME_SHADOW\n"); + e_data.volumetric_scatter_with_lights_sh = DRW_shader_create_with_lib( + datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + datatoc_volumetric_scatter_frag_glsl, + e_data.volumetric_common_lights_lib, + SHADER_DEFINES + "#define VOLUMETRICS\n" + "#define VOLUME_LIGHTING\n" + "#define VOLUME_SHADOW\n"); + e_data.volumetric_integration_sh = DRW_shader_create_with_lib( + datatoc_volumetric_vert_glsl, + datatoc_volumetric_geom_glsl, + datatoc_volumetric_integration_frag_glsl, + e_data.volumetric_common_lib, + NULL); + e_data.volumetric_resolve_sh = DRW_shader_create_with_lib(datatoc_common_fullscreen_vert_glsl, + NULL, + datatoc_volumetric_resolve_frag_glsl, + e_data.volumetric_common_lib, + NULL); + + float color[4] = {1.0f, 1.0f, 1.0f, 1.0f}; + e_data.dummy_density = DRW_texture_create_3d(1, 1, 1, GPU_RGBA8, DRW_TEX_WRAP, color); + + float flame = 0.0f; + e_data.dummy_flame = DRW_texture_create_3d(1, 1, 1, GPU_R8, DRW_TEX_WRAP, &flame); } void EEVEE_volumes_set_jitter(EEVEE_ViewLayerData *sldata, uint current_sample) { - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - double ht_point[3]; - double ht_offset[3] = {0.0, 0.0}; - uint ht_primes[3] = {3, 7, 2}; + double ht_point[3]; + double ht_offset[3] = {0.0, 0.0}; + uint ht_primes[3] = {3, 7, 2}; - BLI_halton_3d(ht_primes, ht_offset, current_sample, ht_point); + BLI_halton_3d(ht_primes, ht_offset, current_sample, ht_point); - common_data->vol_jitter[0] = (float)ht_point[0]; - common_data->vol_jitter[1] = (float)ht_point[1]; - common_data->vol_jitter[2] = (float)ht_point[2]; + common_data->vol_jitter[0] = (float)ht_point[0]; + common_data->vol_jitter[1] = (float)ht_point[1]; + common_data->vol_jitter[2] = (float)ht_point[2]; } int EEVEE_volumes_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_StorageList *stl = vedata->stl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - - const float *viewport_size = DRW_viewport_size_get(); - - BLI_listbase_clear(&e_data.smoke_domains); - - if (scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_ENABLED) { - - /* Shaders */ - if (!e_data.volumetric_scatter_sh) { - eevee_create_shader_volumes(); - } - - const int tile_size = scene_eval->eevee.volumetric_tile_size; - - /* Find Froxel Texture resolution. */ - int tex_size[3]; - - tex_size[0] = (int)ceilf(fmaxf(1.0f, viewport_size[0] / (float)tile_size)); - tex_size[1] = (int)ceilf(fmaxf(1.0f, viewport_size[1] / (float)tile_size)); - tex_size[2] = max_ii(scene_eval->eevee.volumetric_samples, 1); - - common_data->vol_coord_scale[0] = viewport_size[0] / (float)(tile_size * tex_size[0]); - common_data->vol_coord_scale[1] = viewport_size[1] / (float)(tile_size * tex_size[1]); - - /* TODO compute snap to maxZBuffer for clustered rendering */ - - if ((common_data->vol_tex_size[0] != tex_size[0]) || - (common_data->vol_tex_size[1] != tex_size[1]) || - (common_data->vol_tex_size[2] != tex_size[2])) - { - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_scattering); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_extinction); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_emission); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_phase); - DRW_TEXTURE_FREE_SAFE(txl->volume_scatter); - DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance); - DRW_TEXTURE_FREE_SAFE(txl->volume_scatter_history); - DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance_history); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_scat_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_integ_fb); - common_data->vol_tex_size[0] = tex_size[0]; - common_data->vol_tex_size[1] = tex_size[1]; - common_data->vol_tex_size[2] = tex_size[2]; - - common_data->vol_inv_tex_size[0] = 1.0f / (float)(tex_size[0]); - common_data->vol_inv_tex_size[1] = 1.0f / (float)(tex_size[1]); - common_data->vol_inv_tex_size[2] = 1.0f / (float)(tex_size[2]); - } - - /* Like frostbite's paper, 5% blend of the new frame. */ - common_data->vol_history_alpha = (txl->volume_prop_scattering == NULL) ? 0.0f : 0.95f; - - if (txl->volume_prop_scattering == NULL) { - /* Volume properties: We evaluate all volumetric objects - * and store their final properties into each froxel */ - txl->volume_prop_scattering = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - txl->volume_prop_extinction = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - txl->volume_prop_emission = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - txl->volume_prop_phase = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_RG16F, DRW_TEX_FILTER, NULL); - - /* Volume scattering: We compute for each froxel the - * Scattered light towards the view. We also resolve temporal - * super sampling during this stage. */ - txl->volume_scatter = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - txl->volume_transmittance = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - - /* Final integration: We compute for each froxel the - * amount of scattered light and extinction coef at this - * given depth. We use theses textures as double buffer - * for the volumetric history. */ - txl->volume_scatter_history = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - txl->volume_transmittance_history = DRW_texture_create_3d(tex_size[0], tex_size[1], tex_size[2], - GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); - } - - /* Temporal Super sampling jitter */ - uint ht_primes[3] = {3, 7, 2}; - uint current_sample = 0; - - /* If TAA is in use do not use the history buffer. */ - bool do_taa = ((effects->enabled_effects & EFFECT_TAA) != 0); - - if (draw_ctx->evil_C != NULL) { - struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); - do_taa = do_taa && (ED_screen_animation_no_scrub(wm) == NULL); - } - - if (do_taa) { - common_data->vol_history_alpha = 0.0f; - current_sample = effects->taa_current_sample - 1; - effects->volume_current_sample = -1; - } - else { - const uint max_sample = (ht_primes[0] * ht_primes[1] * ht_primes[2]); - current_sample = effects->volume_current_sample = (effects->volume_current_sample + 1) % max_sample; - if (current_sample != max_sample - 1) { - DRW_viewport_request_redraw(); - } - } - - EEVEE_volumes_set_jitter(sldata, current_sample); - - /* Framebuffer setup */ - GPU_framebuffer_ensure_config(&fbl->volumetric_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->volume_prop_scattering), - GPU_ATTACHMENT_TEXTURE(txl->volume_prop_extinction), - GPU_ATTACHMENT_TEXTURE(txl->volume_prop_emission), - GPU_ATTACHMENT_TEXTURE(txl->volume_prop_phase) - }); - GPU_framebuffer_ensure_config(&fbl->volumetric_scat_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->volume_scatter), - GPU_ATTACHMENT_TEXTURE(txl->volume_transmittance) - }); - GPU_framebuffer_ensure_config(&fbl->volumetric_integ_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->volume_scatter_history), - GPU_ATTACHMENT_TEXTURE(txl->volume_transmittance_history) - }); - - float integration_start = scene_eval->eevee.volumetric_start; - float integration_end = scene_eval->eevee.volumetric_end; - common_data->vol_light_clamp = scene_eval->eevee.volumetric_light_clamp; - common_data->vol_shadow_steps = (float)scene_eval->eevee.volumetric_shadow_samples; - if ((scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_SHADOWS) == 0) { - common_data->vol_shadow_steps = 0; - } - - /* Update view_vecs */ - float invproj[4][4], winmat[4][4]; - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); - EEVEE_update_viewvecs(invproj, winmat, sldata->common_data.view_vecs); - - if (DRW_viewport_is_persp_get()) { - float sample_distribution = scene_eval->eevee.volumetric_sample_distribution; - sample_distribution = 4.0f * (1.00001f - sample_distribution); - - const float clip_start = common_data->view_vecs[0][2]; - /* Negate */ - float near = integration_start = min_ff(-integration_start, clip_start - 1e-4f); - float far = integration_end = min_ff(-integration_end, near - 1e-4f); - - common_data->vol_depth_param[0] = (far - near * exp2(1.0f / sample_distribution)) / (far - near); - common_data->vol_depth_param[1] = (1.0f - common_data->vol_depth_param[0]) / near; - common_data->vol_depth_param[2] = sample_distribution; - } - else { - const float clip_start = common_data->view_vecs[0][2]; - const float clip_end = clip_start + common_data->view_vecs[1][2]; - integration_start = min_ff(integration_end, clip_start); - integration_end = max_ff(-integration_end, clip_end); - - common_data->vol_depth_param[0] = integration_start; - common_data->vol_depth_param[1] = integration_end; - common_data->vol_depth_param[2] = 1.0f / (integration_end - integration_start); - } - - /* Disable clamp if equal to 0. */ - if (common_data->vol_light_clamp == 0.0) { - common_data->vol_light_clamp = FLT_MAX; - } - - common_data->vol_use_lights = (scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_LIGHTS) != 0; - - return EFFECT_VOLUMETRIC | EFFECT_POST_BUFFER; - } - - /* Cleanup to release memory */ - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_scattering); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_extinction); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_emission); - DRW_TEXTURE_FREE_SAFE(txl->volume_prop_phase); - DRW_TEXTURE_FREE_SAFE(txl->volume_scatter); - DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance); - DRW_TEXTURE_FREE_SAFE(txl->volume_scatter_history); - DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance_history); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_scat_fb); - GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_integ_fb); - - return 0; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + + const float *viewport_size = DRW_viewport_size_get(); + + BLI_listbase_clear(&e_data.smoke_domains); + + if (scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_ENABLED) { + + /* Shaders */ + if (!e_data.volumetric_scatter_sh) { + eevee_create_shader_volumes(); + } + + const int tile_size = scene_eval->eevee.volumetric_tile_size; + + /* Find Froxel Texture resolution. */ + int tex_size[3]; + + tex_size[0] = (int)ceilf(fmaxf(1.0f, viewport_size[0] / (float)tile_size)); + tex_size[1] = (int)ceilf(fmaxf(1.0f, viewport_size[1] / (float)tile_size)); + tex_size[2] = max_ii(scene_eval->eevee.volumetric_samples, 1); + + common_data->vol_coord_scale[0] = viewport_size[0] / (float)(tile_size * tex_size[0]); + common_data->vol_coord_scale[1] = viewport_size[1] / (float)(tile_size * tex_size[1]); + + /* TODO compute snap to maxZBuffer for clustered rendering */ + + if ((common_data->vol_tex_size[0] != tex_size[0]) || + (common_data->vol_tex_size[1] != tex_size[1]) || + (common_data->vol_tex_size[2] != tex_size[2])) { + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_scattering); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_extinction); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_emission); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_phase); + DRW_TEXTURE_FREE_SAFE(txl->volume_scatter); + DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance); + DRW_TEXTURE_FREE_SAFE(txl->volume_scatter_history); + DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance_history); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_scat_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_integ_fb); + common_data->vol_tex_size[0] = tex_size[0]; + common_data->vol_tex_size[1] = tex_size[1]; + common_data->vol_tex_size[2] = tex_size[2]; + + common_data->vol_inv_tex_size[0] = 1.0f / (float)(tex_size[0]); + common_data->vol_inv_tex_size[1] = 1.0f / (float)(tex_size[1]); + common_data->vol_inv_tex_size[2] = 1.0f / (float)(tex_size[2]); + } + + /* Like frostbite's paper, 5% blend of the new frame. */ + common_data->vol_history_alpha = (txl->volume_prop_scattering == NULL) ? 0.0f : 0.95f; + + if (txl->volume_prop_scattering == NULL) { + /* Volume properties: We evaluate all volumetric objects + * and store their final properties into each froxel */ + txl->volume_prop_scattering = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + txl->volume_prop_extinction = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + txl->volume_prop_emission = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + txl->volume_prop_phase = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_RG16F, DRW_TEX_FILTER, NULL); + + /* Volume scattering: We compute for each froxel the + * Scattered light towards the view. We also resolve temporal + * super sampling during this stage. */ + txl->volume_scatter = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + txl->volume_transmittance = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + + /* Final integration: We compute for each froxel the + * amount of scattered light and extinction coef at this + * given depth. We use theses textures as double buffer + * for the volumetric history. */ + txl->volume_scatter_history = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + txl->volume_transmittance_history = DRW_texture_create_3d( + tex_size[0], tex_size[1], tex_size[2], GPU_R11F_G11F_B10F, DRW_TEX_FILTER, NULL); + } + + /* Temporal Super sampling jitter */ + uint ht_primes[3] = {3, 7, 2}; + uint current_sample = 0; + + /* If TAA is in use do not use the history buffer. */ + bool do_taa = ((effects->enabled_effects & EFFECT_TAA) != 0); + + if (draw_ctx->evil_C != NULL) { + struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); + do_taa = do_taa && (ED_screen_animation_no_scrub(wm) == NULL); + } + + if (do_taa) { + common_data->vol_history_alpha = 0.0f; + current_sample = effects->taa_current_sample - 1; + effects->volume_current_sample = -1; + } + else { + const uint max_sample = (ht_primes[0] * ht_primes[1] * ht_primes[2]); + current_sample = effects->volume_current_sample = (effects->volume_current_sample + 1) % + max_sample; + if (current_sample != max_sample - 1) { + DRW_viewport_request_redraw(); + } + } + + EEVEE_volumes_set_jitter(sldata, current_sample); + + /* Framebuffer setup */ + GPU_framebuffer_ensure_config(&fbl->volumetric_fb, + {GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->volume_prop_scattering), + GPU_ATTACHMENT_TEXTURE(txl->volume_prop_extinction), + GPU_ATTACHMENT_TEXTURE(txl->volume_prop_emission), + GPU_ATTACHMENT_TEXTURE(txl->volume_prop_phase)}); + GPU_framebuffer_ensure_config(&fbl->volumetric_scat_fb, + {GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->volume_scatter), + GPU_ATTACHMENT_TEXTURE(txl->volume_transmittance)}); + GPU_framebuffer_ensure_config(&fbl->volumetric_integ_fb, + {GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->volume_scatter_history), + GPU_ATTACHMENT_TEXTURE(txl->volume_transmittance_history)}); + + float integration_start = scene_eval->eevee.volumetric_start; + float integration_end = scene_eval->eevee.volumetric_end; + common_data->vol_light_clamp = scene_eval->eevee.volumetric_light_clamp; + common_data->vol_shadow_steps = (float)scene_eval->eevee.volumetric_shadow_samples; + if ((scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_SHADOWS) == 0) { + common_data->vol_shadow_steps = 0; + } + + /* Update view_vecs */ + float invproj[4][4], winmat[4][4]; + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); + EEVEE_update_viewvecs(invproj, winmat, sldata->common_data.view_vecs); + + if (DRW_viewport_is_persp_get()) { + float sample_distribution = scene_eval->eevee.volumetric_sample_distribution; + sample_distribution = 4.0f * (1.00001f - sample_distribution); + + const float clip_start = common_data->view_vecs[0][2]; + /* Negate */ + float near = integration_start = min_ff(-integration_start, clip_start - 1e-4f); + float far = integration_end = min_ff(-integration_end, near - 1e-4f); + + common_data->vol_depth_param[0] = (far - near * exp2(1.0f / sample_distribution)) / + (far - near); + common_data->vol_depth_param[1] = (1.0f - common_data->vol_depth_param[0]) / near; + common_data->vol_depth_param[2] = sample_distribution; + } + else { + const float clip_start = common_data->view_vecs[0][2]; + const float clip_end = clip_start + common_data->view_vecs[1][2]; + integration_start = min_ff(integration_end, clip_start); + integration_end = max_ff(-integration_end, clip_end); + + common_data->vol_depth_param[0] = integration_start; + common_data->vol_depth_param[1] = integration_end; + common_data->vol_depth_param[2] = 1.0f / (integration_end - integration_start); + } + + /* Disable clamp if equal to 0. */ + if (common_data->vol_light_clamp == 0.0) { + common_data->vol_light_clamp = FLT_MAX; + } + + common_data->vol_use_lights = (scene_eval->eevee.flag & SCE_EEVEE_VOLUMETRIC_LIGHTS) != 0; + + return EFFECT_VOLUMETRIC | EFFECT_POST_BUFFER; + } + + /* Cleanup to release memory */ + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_scattering); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_extinction); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_emission); + DRW_TEXTURE_FREE_SAFE(txl->volume_prop_phase); + DRW_TEXTURE_FREE_SAFE(txl->volume_scatter); + DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance); + DRW_TEXTURE_FREE_SAFE(txl->volume_scatter_history); + DRW_TEXTURE_FREE_SAFE(txl->volume_transmittance_history); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_scat_fb); + GPU_FRAMEBUFFER_FREE_SAFE(fbl->volumetric_integ_fb); + + return 0; } void EEVEE_volumes_cache_init(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_EffectsInfo *effects = stl->effects; - LightCache *lcache = stl->g_data->light_cache; - EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; - - if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - DRWShadingGroup *grp = NULL; - - /* Quick breakdown of the Volumetric rendering: - * - * The rendering is separated in 4 stages: - * - * - Material Parameters : we collect volume properties of - * all participating media in the scene and store them in - * a 3D texture aligned with the 3D frustum. - * This is done in 2 passes, one that clear the texture - * and/or evaluate the world volumes, and the 2nd one that - * additively render object volumes. - * - * - Light Scattering : the volume properties then are sampled - * and light scattering is evaluated for each cell of the - * volume texture. Temporal super-sampling (if enabled) occurs here. - * - * - Volume Integration : the scattered light and extinction is - * integrated (accumulated) along the view-rays. The result is stored - * for every cell in another texture. - * - * - Full-screen Resolve : From the previous stage, we get two - * 3D textures that contains integrated scattered light and extinction - * for "every" positions in the frustum. We only need to sample - * them and blend the scene color with those factors. This also - * work for alpha blended materials. - */ - - /* World pass is not additive as it also clear the buffer. */ - psl->volumetric_world_ps = DRW_pass_create("Volumetric World", DRW_STATE_WRITE_COLOR); - - /* World Volumetric */ - struct World *wo = scene->world; - if (wo != NULL && wo->use_nodes && wo->nodetree && !LOOK_DEV_STUDIO_LIGHT_ENABLED(draw_ctx->v3d)) { - struct GPUMaterial *mat = EEVEE_material_world_volume_get(scene, wo); - - grp = DRW_shgroup_material_empty_tri_batch_create(mat, - psl->volumetric_world_ps, - common_data->vol_tex_size[2]); - - if (grp) { - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - /* TODO (fclem): remove those (need to clean the GLSL files). */ - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - - /* Fix principle volumetric not working with world materials. */ - DRW_shgroup_uniform_texture(grp, "sampdensity", e_data.dummy_density); - DRW_shgroup_uniform_texture(grp, "sampflame", e_data.dummy_flame); - DRW_shgroup_uniform_vec2(grp, "unftemperature", (float[2]){0.0f, 1.0f}, 1); - } - } - - if (grp == NULL) { - /* If no world or volume material is present just clear the buffer with this drawcall */ - grp = DRW_shgroup_empty_tri_batch_create( - e_data.volumetric_clear_sh, - psl->volumetric_world_ps, - common_data->vol_tex_size[2]); - - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - } - - /* Volumetric Objects */ - psl->volumetric_objects_ps = DRW_pass_create("Volumetric Properties", DRW_STATE_WRITE_COLOR | - DRW_STATE_ADDITIVE); - - struct GPUShader *scatter_sh = (common_data->vol_use_lights) ? e_data.volumetric_scatter_with_lights_sh - : e_data.volumetric_scatter_sh; - psl->volumetric_scatter_ps = DRW_pass_create("Volumetric Scattering", DRW_STATE_WRITE_COLOR); - grp = DRW_shgroup_empty_tri_batch_create(scatter_sh, psl->volumetric_scatter_ps, - common_data->vol_tex_size[2]); - DRW_shgroup_uniform_texture_ref(grp, "irradianceGrid", &lcache->grid_tx.tex); - DRW_shgroup_uniform_texture_ref(grp, "shadowCubeTexture", &sldata->shadow_cube_pool); - DRW_shgroup_uniform_texture_ref(grp, "shadowCascadeTexture", &sldata->shadow_cascade_pool); - DRW_shgroup_uniform_texture_ref(grp, "volumeScattering", &txl->volume_prop_scattering); - DRW_shgroup_uniform_texture_ref(grp, "volumeExtinction", &txl->volume_prop_extinction); - DRW_shgroup_uniform_texture_ref(grp, "volumeEmission", &txl->volume_prop_emission); - DRW_shgroup_uniform_texture_ref(grp, "volumePhase", &txl->volume_prop_phase); - DRW_shgroup_uniform_texture_ref(grp, "historyScattering", &txl->volume_scatter_history); - DRW_shgroup_uniform_texture_ref(grp, "historyTransmittance", &txl->volume_transmittance_history); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - psl->volumetric_integration_ps = DRW_pass_create("Volumetric Integration", DRW_STATE_WRITE_COLOR); - grp = DRW_shgroup_empty_tri_batch_create(e_data.volumetric_integration_sh, - psl->volumetric_integration_ps, - common_data->vol_tex_size[2]); - DRW_shgroup_uniform_texture_ref(grp, "volumeScattering", &txl->volume_scatter); - DRW_shgroup_uniform_texture_ref(grp, "volumeExtinction", &txl->volume_transmittance); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - - psl->volumetric_resolve_ps = DRW_pass_create("Volumetric Resolve", DRW_STATE_WRITE_COLOR); - grp = DRW_shgroup_create(e_data.volumetric_resolve_sh, psl->volumetric_resolve_ps); - DRW_shgroup_uniform_texture_ref(grp, "inScattering", &txl->volume_scatter); - DRW_shgroup_uniform_texture_ref(grp, "inTransmittance", &txl->volume_transmittance); - DRW_shgroup_uniform_texture_ref(grp, "inSceneColor", &e_data.color_src); - DRW_shgroup_uniform_texture_ref(grp, "inSceneDepth", &e_data.depth_src); - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_EffectsInfo *effects = stl->effects; + LightCache *lcache = stl->g_data->light_cache; + EEVEE_CommonUniformBuffer *common_data = &sldata->common_data; + + if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + DRWShadingGroup *grp = NULL; + + /* Quick breakdown of the Volumetric rendering: + * + * The rendering is separated in 4 stages: + * + * - Material Parameters : we collect volume properties of + * all participating media in the scene and store them in + * a 3D texture aligned with the 3D frustum. + * This is done in 2 passes, one that clear the texture + * and/or evaluate the world volumes, and the 2nd one that + * additively render object volumes. + * + * - Light Scattering : the volume properties then are sampled + * and light scattering is evaluated for each cell of the + * volume texture. Temporal super-sampling (if enabled) occurs here. + * + * - Volume Integration : the scattered light and extinction is + * integrated (accumulated) along the view-rays. The result is stored + * for every cell in another texture. + * + * - Full-screen Resolve : From the previous stage, we get two + * 3D textures that contains integrated scattered light and extinction + * for "every" positions in the frustum. We only need to sample + * them and blend the scene color with those factors. This also + * work for alpha blended materials. + */ + + /* World pass is not additive as it also clear the buffer. */ + psl->volumetric_world_ps = DRW_pass_create("Volumetric World", DRW_STATE_WRITE_COLOR); + + /* World Volumetric */ + struct World *wo = scene->world; + if (wo != NULL && wo->use_nodes && wo->nodetree && + !LOOK_DEV_STUDIO_LIGHT_ENABLED(draw_ctx->v3d)) { + struct GPUMaterial *mat = EEVEE_material_world_volume_get(scene, wo); + + grp = DRW_shgroup_material_empty_tri_batch_create( + mat, psl->volumetric_world_ps, common_data->vol_tex_size[2]); + + if (grp) { + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + /* TODO (fclem): remove those (need to clean the GLSL files). */ + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + + /* Fix principle volumetric not working with world materials. */ + DRW_shgroup_uniform_texture(grp, "sampdensity", e_data.dummy_density); + DRW_shgroup_uniform_texture(grp, "sampflame", e_data.dummy_flame); + DRW_shgroup_uniform_vec2(grp, "unftemperature", (float[2]){0.0f, 1.0f}, 1); + } + } + + if (grp == NULL) { + /* If no world or volume material is present just clear the buffer with this drawcall */ + grp = DRW_shgroup_empty_tri_batch_create( + e_data.volumetric_clear_sh, psl->volumetric_world_ps, common_data->vol_tex_size[2]); + + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + } + + /* Volumetric Objects */ + psl->volumetric_objects_ps = DRW_pass_create("Volumetric Properties", + DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE); + + struct GPUShader *scatter_sh = (common_data->vol_use_lights) ? + e_data.volumetric_scatter_with_lights_sh : + e_data.volumetric_scatter_sh; + psl->volumetric_scatter_ps = DRW_pass_create("Volumetric Scattering", DRW_STATE_WRITE_COLOR); + grp = DRW_shgroup_empty_tri_batch_create( + scatter_sh, psl->volumetric_scatter_ps, common_data->vol_tex_size[2]); + DRW_shgroup_uniform_texture_ref(grp, "irradianceGrid", &lcache->grid_tx.tex); + DRW_shgroup_uniform_texture_ref(grp, "shadowCubeTexture", &sldata->shadow_cube_pool); + DRW_shgroup_uniform_texture_ref(grp, "shadowCascadeTexture", &sldata->shadow_cascade_pool); + DRW_shgroup_uniform_texture_ref(grp, "volumeScattering", &txl->volume_prop_scattering); + DRW_shgroup_uniform_texture_ref(grp, "volumeExtinction", &txl->volume_prop_extinction); + DRW_shgroup_uniform_texture_ref(grp, "volumeEmission", &txl->volume_prop_emission); + DRW_shgroup_uniform_texture_ref(grp, "volumePhase", &txl->volume_prop_phase); + DRW_shgroup_uniform_texture_ref(grp, "historyScattering", &txl->volume_scatter_history); + DRW_shgroup_uniform_texture_ref( + grp, "historyTransmittance", &txl->volume_transmittance_history); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + psl->volumetric_integration_ps = DRW_pass_create("Volumetric Integration", + DRW_STATE_WRITE_COLOR); + grp = DRW_shgroup_empty_tri_batch_create(e_data.volumetric_integration_sh, + psl->volumetric_integration_ps, + common_data->vol_tex_size[2]); + DRW_shgroup_uniform_texture_ref(grp, "volumeScattering", &txl->volume_scatter); + DRW_shgroup_uniform_texture_ref(grp, "volumeExtinction", &txl->volume_transmittance); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + + psl->volumetric_resolve_ps = DRW_pass_create("Volumetric Resolve", DRW_STATE_WRITE_COLOR); + grp = DRW_shgroup_create(e_data.volumetric_resolve_sh, psl->volumetric_resolve_ps); + DRW_shgroup_uniform_texture_ref(grp, "inScattering", &txl->volume_scatter); + DRW_shgroup_uniform_texture_ref(grp, "inTransmittance", &txl->volume_transmittance); + DRW_shgroup_uniform_texture_ref(grp, "inSceneColor", &e_data.color_src); + DRW_shgroup_uniform_texture_ref(grp, "inSceneDepth", &e_data.depth_src); + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } } typedef struct EEVEE_InstanceVolumeMatrix { - DrawData dd; - float volume_mat[4][4]; + DrawData dd; + float volume_mat[4][4]; } EEVEE_InstanceVolumeMatrix; -void EEVEE_volumes_cache_object_add(EEVEE_ViewLayerData *sldata, EEVEE_Data *vedata, Scene *scene, Object *ob) +void EEVEE_volumes_cache_object_add(EEVEE_ViewLayerData *sldata, + EEVEE_Data *vedata, + Scene *scene, + Object *ob) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - static float white[3] = {1.0f, 1.0f, 1.0f}; - - float *texcoloc = NULL; - float *texcosize = NULL; - struct ModifierData *md = NULL; - Material *ma = give_current_material(ob, 1); - - if (ma == NULL) { - return; - } - - struct GPUMaterial *mat = EEVEE_material_mesh_volume_get(scene, ma); - - /* If shader failed to compile or is currently compiling. */ - if (GPU_material_status(mat) != GPU_MAT_SUCCESS) { - return; - } - - DRWShadingGroup *grp = DRW_shgroup_material_empty_tri_batch_create(mat, - vedata->psl->volumetric_objects_ps, - sldata->common_data.vol_tex_size[2]); - - /* Making sure it's updated. */ - invert_m4_m4(ob->imat, ob->obmat); - - BKE_mesh_texspace_get_reference((struct Mesh *)ob->data, NULL, &texcoloc, NULL, &texcosize); - - float (*imat)[4] = ob->imat; - - if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { - /* TODO Remove from here and use a dedicated buffer. */ - EEVEE_InstanceVolumeMatrix *ivm = (EEVEE_InstanceVolumeMatrix *)DRW_drawdata_ensure( - &ob->id, - (DrawEngineType *)EEVEE_volumes_cache_object_add, - sizeof(EEVEE_InstanceVolumeMatrix), - NULL, NULL); - copy_m4_m4(ivm->volume_mat, ob->imat); - imat = ivm->volume_mat; - } - - /* TODO(fclem) remove those "unnecessary" UBOs */ - DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); - DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); - DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); - DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); - DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); - - DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); - DRW_shgroup_uniform_mat4(grp, "volumeObjectMatrix", imat); - DRW_shgroup_uniform_vec3(grp, "volumeOrcoLoc", texcoloc, 1); - DRW_shgroup_uniform_vec3(grp, "volumeOrcoSize", texcosize, 1); - - /* Smoke Simulation */ - if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && - (md = modifiers_findByType(ob, eModifierType_Smoke)) && - (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && - ((SmokeModifierData *)md)->domain != NULL) - { - SmokeModifierData *smd = (SmokeModifierData *)md; - SmokeDomainSettings *sds = smd->domain; - - /* Don't show smoke before simulation starts, this could be made an option in the future. */ - const bool show_smoke = ((int)DEG_get_ctime(draw_ctx->depsgraph) >= sds->point_cache[0]->startframe); - - if (sds->fluid && show_smoke) { - const bool show_highres = BKE_smoke_show_highres(scene, sds); - if (!sds->wt || !show_highres) { - GPU_create_smoke(smd, 0); - } - else if (sds->wt && show_highres) { - GPU_create_smoke(smd, 1); - } - BLI_addtail(&e_data.smoke_domains, BLI_genericNodeN(smd)); - } - - DRW_shgroup_uniform_texture_ref(grp, "sampdensity", sds->tex ? &sds->tex : &e_data.dummy_density); - DRW_shgroup_uniform_texture_ref(grp, "sampflame", sds->tex_flame ? &sds->tex_flame : &e_data.dummy_flame); - - /* Constant Volume color. */ - bool use_constant_color = ((sds->active_fields & SM_ACTIVE_COLORS) == 0 && - (sds->active_fields & SM_ACTIVE_COLOR_SET) != 0); - - DRW_shgroup_uniform_vec3(grp, "volumeColor", (use_constant_color) ? sds->active_color : white, 1); - - /* Output is such that 0..1 maps to 0..1000K */ - DRW_shgroup_uniform_vec2(grp, "unftemperature", &sds->flame_ignition, 1); - } - else { - DRW_shgroup_uniform_texture(grp, "sampdensity", e_data.dummy_density); - DRW_shgroup_uniform_texture(grp, "sampflame", e_data.dummy_flame); - DRW_shgroup_uniform_vec3(grp, "volumeColor", white, 1); - DRW_shgroup_uniform_vec2(grp, "unftemperature", (float[2]){0.0f, 1.0f}, 1); - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + static float white[3] = {1.0f, 1.0f, 1.0f}; + + float *texcoloc = NULL; + float *texcosize = NULL; + struct ModifierData *md = NULL; + Material *ma = give_current_material(ob, 1); + + if (ma == NULL) { + return; + } + + struct GPUMaterial *mat = EEVEE_material_mesh_volume_get(scene, ma); + + /* If shader failed to compile or is currently compiling. */ + if (GPU_material_status(mat) != GPU_MAT_SUCCESS) { + return; + } + + DRWShadingGroup *grp = DRW_shgroup_material_empty_tri_batch_create( + mat, vedata->psl->volumetric_objects_ps, sldata->common_data.vol_tex_size[2]); + + /* Making sure it's updated. */ + invert_m4_m4(ob->imat, ob->obmat); + + BKE_mesh_texspace_get_reference((struct Mesh *)ob->data, NULL, &texcoloc, NULL, &texcosize); + + float(*imat)[4] = ob->imat; + + if ((ob->base_flag & BASE_FROM_DUPLI) != 0) { + /* TODO Remove from here and use a dedicated buffer. */ + EEVEE_InstanceVolumeMatrix *ivm = (EEVEE_InstanceVolumeMatrix *)DRW_drawdata_ensure( + &ob->id, + (DrawEngineType *)EEVEE_volumes_cache_object_add, + sizeof(EEVEE_InstanceVolumeMatrix), + NULL, + NULL); + copy_m4_m4(ivm->volume_mat, ob->imat); + imat = ivm->volume_mat; + } + + /* TODO(fclem) remove those "unnecessary" UBOs */ + DRW_shgroup_uniform_block(grp, "planar_block", sldata->planar_ubo); + DRW_shgroup_uniform_block(grp, "probe_block", sldata->probe_ubo); + DRW_shgroup_uniform_block(grp, "shadow_block", sldata->shadow_ubo); + DRW_shgroup_uniform_block(grp, "light_block", sldata->light_ubo); + DRW_shgroup_uniform_block(grp, "grid_block", sldata->grid_ubo); + + DRW_shgroup_uniform_block(grp, "common_block", sldata->common_ubo); + DRW_shgroup_uniform_mat4(grp, "volumeObjectMatrix", imat); + DRW_shgroup_uniform_vec3(grp, "volumeOrcoLoc", texcoloc, 1); + DRW_shgroup_uniform_vec3(grp, "volumeOrcoSize", texcosize, 1); + + /* Smoke Simulation */ + if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && + (md = modifiers_findByType(ob, eModifierType_Smoke)) && + (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && + ((SmokeModifierData *)md)->domain != NULL) { + SmokeModifierData *smd = (SmokeModifierData *)md; + SmokeDomainSettings *sds = smd->domain; + + /* Don't show smoke before simulation starts, this could be made an option in the future. */ + const bool show_smoke = ((int)DEG_get_ctime(draw_ctx->depsgraph) >= + sds->point_cache[0]->startframe); + + if (sds->fluid && show_smoke) { + const bool show_highres = BKE_smoke_show_highres(scene, sds); + if (!sds->wt || !show_highres) { + GPU_create_smoke(smd, 0); + } + else if (sds->wt && show_highres) { + GPU_create_smoke(smd, 1); + } + BLI_addtail(&e_data.smoke_domains, BLI_genericNodeN(smd)); + } + + DRW_shgroup_uniform_texture_ref( + grp, "sampdensity", sds->tex ? &sds->tex : &e_data.dummy_density); + DRW_shgroup_uniform_texture_ref( + grp, "sampflame", sds->tex_flame ? &sds->tex_flame : &e_data.dummy_flame); + + /* Constant Volume color. */ + bool use_constant_color = ((sds->active_fields & SM_ACTIVE_COLORS) == 0 && + (sds->active_fields & SM_ACTIVE_COLOR_SET) != 0); + + DRW_shgroup_uniform_vec3( + grp, "volumeColor", (use_constant_color) ? sds->active_color : white, 1); + + /* Output is such that 0..1 maps to 0..1000K */ + DRW_shgroup_uniform_vec2(grp, "unftemperature", &sds->flame_ignition, 1); + } + else { + DRW_shgroup_uniform_texture(grp, "sampdensity", e_data.dummy_density); + DRW_shgroup_uniform_texture(grp, "sampflame", e_data.dummy_flame); + DRW_shgroup_uniform_vec3(grp, "volumeColor", white, 1); + DRW_shgroup_uniform_vec2(grp, "unftemperature", (float[2]){0.0f, 1.0f}, 1); + } } void EEVEE_volumes_compute(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { - DRW_stats_group_start("Volumetrics"); - - /* Step 1: Participating Media Properties */ - GPU_framebuffer_bind(fbl->volumetric_fb); - DRW_draw_pass(psl->volumetric_world_ps); - DRW_draw_pass(psl->volumetric_objects_ps); - - /* Step 2: Scatter Light */ - GPU_framebuffer_bind(fbl->volumetric_scat_fb); - DRW_draw_pass(psl->volumetric_scatter_ps); - - /* Step 3: Integration */ - GPU_framebuffer_bind(fbl->volumetric_integ_fb); - DRW_draw_pass(psl->volumetric_integration_ps); - - /* Swap volume history buffers */ - SWAP(struct GPUFrameBuffer *, fbl->volumetric_scat_fb, fbl->volumetric_integ_fb); - SWAP(GPUTexture *, txl->volume_scatter, txl->volume_scatter_history); - SWAP(GPUTexture *, txl->volume_transmittance, txl->volume_transmittance_history); - - /* Restore */ - GPU_framebuffer_bind(fbl->main_fb); - - DRW_stats_group_end(); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { + DRW_stats_group_start("Volumetrics"); + + /* Step 1: Participating Media Properties */ + GPU_framebuffer_bind(fbl->volumetric_fb); + DRW_draw_pass(psl->volumetric_world_ps); + DRW_draw_pass(psl->volumetric_objects_ps); + + /* Step 2: Scatter Light */ + GPU_framebuffer_bind(fbl->volumetric_scat_fb); + DRW_draw_pass(psl->volumetric_scatter_ps); + + /* Step 3: Integration */ + GPU_framebuffer_bind(fbl->volumetric_integ_fb); + DRW_draw_pass(psl->volumetric_integration_ps); + + /* Swap volume history buffers */ + SWAP(struct GPUFrameBuffer *, fbl->volumetric_scat_fb, fbl->volumetric_integ_fb); + SWAP(GPUTexture *, txl->volume_scatter, txl->volume_scatter_history); + SWAP(GPUTexture *, txl->volume_transmittance, txl->volume_transmittance_history); + + /* Restore */ + GPU_framebuffer_bind(fbl->main_fb); + + DRW_stats_group_end(); + } } void EEVEE_volumes_resolve(EEVEE_ViewLayerData *UNUSED(sldata), EEVEE_Data *vedata) { - EEVEE_PassList *psl = vedata->psl; - EEVEE_TextureList *txl = vedata->txl; - EEVEE_FramebufferList *fbl = vedata->fbl; - EEVEE_StorageList *stl = vedata->stl; - EEVEE_EffectsInfo *effects = stl->effects; - - if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - e_data.color_src = txl->color; - e_data.depth_src = dtxl->depth; - - /* Step 4: Apply for opaque */ - GPU_framebuffer_bind(fbl->effect_color_fb); - DRW_draw_pass(psl->volumetric_resolve_ps); - - /* Swap the buffers and rebind depth to the current buffer */ - SWAP(GPUFrameBuffer *, fbl->main_fb, fbl->effect_fb); - SWAP(GPUFrameBuffer *, fbl->main_color_fb, fbl->effect_color_fb); - SWAP(GPUTexture *, txl->color, txl->color_post); - - /* Restore */ - GPU_framebuffer_texture_detach(fbl->effect_fb, dtxl->depth); - GPU_framebuffer_texture_attach(fbl->main_fb, dtxl->depth, 0, 0); - GPU_framebuffer_bind(fbl->main_fb); - } + EEVEE_PassList *psl = vedata->psl; + EEVEE_TextureList *txl = vedata->txl; + EEVEE_FramebufferList *fbl = vedata->fbl; + EEVEE_StorageList *stl = vedata->stl; + EEVEE_EffectsInfo *effects = stl->effects; + + if ((effects->enabled_effects & EFFECT_VOLUMETRIC) != 0) { + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + e_data.color_src = txl->color; + e_data.depth_src = dtxl->depth; + + /* Step 4: Apply for opaque */ + GPU_framebuffer_bind(fbl->effect_color_fb); + DRW_draw_pass(psl->volumetric_resolve_ps); + + /* Swap the buffers and rebind depth to the current buffer */ + SWAP(GPUFrameBuffer *, fbl->main_fb, fbl->effect_fb); + SWAP(GPUFrameBuffer *, fbl->main_color_fb, fbl->effect_color_fb); + SWAP(GPUTexture *, txl->color, txl->color_post); + + /* Restore */ + GPU_framebuffer_texture_detach(fbl->effect_fb, dtxl->depth); + GPU_framebuffer_texture_attach(fbl->main_fb, dtxl->depth, 0, 0); + GPU_framebuffer_bind(fbl->main_fb); + } } void EEVEE_volumes_free_smoke_textures(void) { - /* Free Smoke Textures after rendering */ - for (LinkData *link = e_data.smoke_domains.first; link; link = link->next) { - SmokeModifierData *smd = (SmokeModifierData *)link->data; - GPU_free_smoke(smd); - } - BLI_freelistN(&e_data.smoke_domains); + /* Free Smoke Textures after rendering */ + for (LinkData *link = e_data.smoke_domains.first; link; link = link->next) { + SmokeModifierData *smd = (SmokeModifierData *)link->data; + GPU_free_smoke(smd); + } + BLI_freelistN(&e_data.smoke_domains); } void EEVEE_volumes_free(void) { - MEM_SAFE_FREE(e_data.volumetric_common_lib); - MEM_SAFE_FREE(e_data.volumetric_common_lights_lib); + MEM_SAFE_FREE(e_data.volumetric_common_lib); + MEM_SAFE_FREE(e_data.volumetric_common_lights_lib); - DRW_TEXTURE_FREE_SAFE(e_data.dummy_density); - DRW_TEXTURE_FREE_SAFE(e_data.dummy_flame); + DRW_TEXTURE_FREE_SAFE(e_data.dummy_density); + DRW_TEXTURE_FREE_SAFE(e_data.dummy_flame); - DRW_SHADER_FREE_SAFE(e_data.volumetric_clear_sh); - DRW_SHADER_FREE_SAFE(e_data.volumetric_scatter_sh); - DRW_SHADER_FREE_SAFE(e_data.volumetric_scatter_with_lights_sh); - DRW_SHADER_FREE_SAFE(e_data.volumetric_integration_sh); - DRW_SHADER_FREE_SAFE(e_data.volumetric_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data.volumetric_clear_sh); + DRW_SHADER_FREE_SAFE(e_data.volumetric_scatter_sh); + DRW_SHADER_FREE_SAFE(e_data.volumetric_scatter_with_lights_sh); + DRW_SHADER_FREE_SAFE(e_data.volumetric_integration_sh); + DRW_SHADER_FREE_SAFE(e_data.volumetric_resolve_sh); } diff --git a/source/blender/draw/engines/eevee/shaders/ambient_occlusion_lib.glsl b/source/blender/draw/engines/eevee/shaders/ambient_occlusion_lib.glsl index 4c9d04ff339..f23303c5b93 100644 --- a/source/blender/draw/engines/eevee/shaders/ambient_occlusion_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/ambient_occlusion_lib.glsl @@ -4,23 +4,23 @@ * http://blog.selfshadow.com/publications/s2016-shading-course/activision/s2016_pbs_activision_occlusion.pptx */ #if defined(MESH_SHADER) -# if !defined(USE_ALPHA_HASH) -# if !defined(USE_ALPHA_CLIP) -# if !defined(SHADOW_SHADER) -# if !defined(USE_MULTIPLY) -# if !defined(USE_ALPHA_BLEND) -# define ENABLE_DEFERED_AO -# endif +# if !defined(USE_ALPHA_HASH) +# if !defined(USE_ALPHA_CLIP) +# if !defined(SHADOW_SHADER) +# if !defined(USE_MULTIPLY) +# if !defined(USE_ALPHA_BLEND) +# define ENABLE_DEFERED_AO +# endif +# endif +# endif # endif -# endif # endif -# endif #endif #ifndef ENABLE_DEFERED_AO -# if defined(STEP_RESOLVE) -# define ENABLE_DEFERED_AO -# endif +# if defined(STEP_RESOLVE) +# define ENABLE_DEFERED_AO +# endif #endif #define MAX_PHI_STEP 32 @@ -28,254 +28,258 @@ #define MAX_LOD 6.0 #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ uniform sampler2D horizonBuffer; /* aoSettings flags */ -#define USE_AO 1 -#define USE_BENT_NORMAL 2 -#define USE_DENOISE 4 +#define USE_AO 1 +#define USE_BENT_NORMAL 2 +#define USE_DENOISE 4 -vec4 pack_horizons(vec4 v) { return v * 0.5 + 0.5; } -vec4 unpack_horizons(vec4 v) { return v * 2.0 - 1.0; } +vec4 pack_horizons(vec4 v) +{ + return v * 0.5 + 0.5; +} +vec4 unpack_horizons(vec4 v) +{ + return v * 2.0 - 1.0; +} /* Returns maximum screen distance an AO ray can travel for a given view depth */ vec2 get_max_dir(float view_depth) { - float homcco = ProjectionMatrix[2][3] * view_depth + ProjectionMatrix[3][3]; - float max_dist = aoDistance / homcco; - return vec2(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * max_dist; + float homcco = ProjectionMatrix[2][3] * view_depth + ProjectionMatrix[3][3]; + float max_dist = aoDistance / homcco; + return vec2(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * max_dist; } vec2 get_ao_dir(float jitter) { - /* Only half a turn because we integrate in slices. */ - jitter *= M_PI; - return vec2(cos(jitter), sin(jitter)); + /* Only half a turn because we integrate in slices. */ + jitter *= M_PI; + return vec2(cos(jitter), sin(jitter)); } void get_max_horizon_grouped(vec4 co1, vec4 co2, vec3 x, float lod, inout float h) { - int mip = int(lod) + hizMipOffset; - co1 *= mipRatio[mip].xyxy; - co2 *= mipRatio[mip].xyxy; - - float depth1 = textureLod(maxzBuffer, co1.xy, floor(lod)).r; - float depth2 = textureLod(maxzBuffer, co1.zw, floor(lod)).r; - float depth3 = textureLod(maxzBuffer, co2.xy, floor(lod)).r; - float depth4 = textureLod(maxzBuffer, co2.zw, floor(lod)).r; - - vec4 len, s_h; - - vec3 s1 = get_view_space_from_depth(co1.xy, depth1); /* s View coordinate */ - vec3 omega_s1 = s1 - x; - len.x = length(omega_s1); - s_h.x = omega_s1.z / len.x; - - vec3 s2 = get_view_space_from_depth(co1.zw, depth2); /* s View coordinate */ - vec3 omega_s2 = s2 - x; - len.y = length(omega_s2); - s_h.y = omega_s2.z / len.y; - - vec3 s3 = get_view_space_from_depth(co2.xy, depth3); /* s View coordinate */ - vec3 omega_s3 = s3 - x; - len.z = length(omega_s3); - s_h.z = omega_s3.z / len.z; - - vec3 s4 = get_view_space_from_depth(co2.zw, depth4); /* s View coordinate */ - vec3 omega_s4 = s4 - x; - len.w = length(omega_s4); - s_h.w = omega_s4.z / len.w; - - /* Blend weight after half the aoDistance to fade artifacts */ - vec4 blend = saturate((1.0 - len / aoDistance) * 2.0); - - h = mix(h, max(h, s_h.x), blend.x); - h = mix(h, max(h, s_h.y), blend.y); - h = mix(h, max(h, s_h.z), blend.z); - h = mix(h, max(h, s_h.w), blend.w); + int mip = int(lod) + hizMipOffset; + co1 *= mipRatio[mip].xyxy; + co2 *= mipRatio[mip].xyxy; + + float depth1 = textureLod(maxzBuffer, co1.xy, floor(lod)).r; + float depth2 = textureLod(maxzBuffer, co1.zw, floor(lod)).r; + float depth3 = textureLod(maxzBuffer, co2.xy, floor(lod)).r; + float depth4 = textureLod(maxzBuffer, co2.zw, floor(lod)).r; + + vec4 len, s_h; + + vec3 s1 = get_view_space_from_depth(co1.xy, depth1); /* s View coordinate */ + vec3 omega_s1 = s1 - x; + len.x = length(omega_s1); + s_h.x = omega_s1.z / len.x; + + vec3 s2 = get_view_space_from_depth(co1.zw, depth2); /* s View coordinate */ + vec3 omega_s2 = s2 - x; + len.y = length(omega_s2); + s_h.y = omega_s2.z / len.y; + + vec3 s3 = get_view_space_from_depth(co2.xy, depth3); /* s View coordinate */ + vec3 omega_s3 = s3 - x; + len.z = length(omega_s3); + s_h.z = omega_s3.z / len.z; + + vec3 s4 = get_view_space_from_depth(co2.zw, depth4); /* s View coordinate */ + vec3 omega_s4 = s4 - x; + len.w = length(omega_s4); + s_h.w = omega_s4.z / len.w; + + /* Blend weight after half the aoDistance to fade artifacts */ + vec4 blend = saturate((1.0 - len / aoDistance) * 2.0); + + h = mix(h, max(h, s_h.x), blend.x); + h = mix(h, max(h, s_h.y), blend.y); + h = mix(h, max(h, s_h.z), blend.z); + h = mix(h, max(h, s_h.w), blend.w); } vec2 search_horizon_sweep(vec2 t_phi, vec3 pos, vec2 uvs, float jitter, vec2 max_dir) { - max_dir *= max_v2(abs(t_phi)); - - /* Convert to pixel space. */ - t_phi /= vec2(textureSize(maxzBuffer, 0)); - - /* Avoid division by 0 */ - t_phi += vec2(1e-5); - - jitter *= 0.25; - - /* Compute end points */ - vec2 corner1 = min(vec2(1.0) - uvs, max_dir); /* Top right */ - vec2 corner2 = max(vec2(0.0) - uvs, -max_dir); /* Bottom left */ - vec2 iter1 = corner1 / t_phi; - vec2 iter2 = corner2 / t_phi; - - vec2 min_iter = max(-iter1, -iter2); - vec2 max_iter = max( iter1, iter2); - - vec2 times = vec2(-min_v2(min_iter), min_v2(max_iter)); - - vec2 h = vec2(-1.0); /* init at cos(pi) */ - - /* This is freaking sexy optimized. */ - for (float i = 0.0, ofs = 4.0, time = -1.0; - i < MAX_SEARCH_ITER && time > times.x; - i++, time -= ofs, ofs = min(exp2(MAX_LOD) * 4.0, ofs + ofs * aoQuality)) - { - vec4 t = max(times.xxxx, vec4(time) - (vec4(0.25, 0.5, 0.75, 1.0) - jitter) * ofs); - vec4 cos1 = uvs.xyxy + t_phi.xyxy * t.xxyy; - vec4 cos2 = uvs.xyxy + t_phi.xyxy * t.zzww; - float lod = min(MAX_LOD, max(i - jitter * 4.0, 0.0) * aoQuality); - get_max_horizon_grouped(cos1, cos2, pos, lod, h.y); - } - - for (float i = 0.0, ofs = 4.0, time = 1.0; - i < MAX_SEARCH_ITER && time < times.y; - i++, time += ofs, ofs = min(exp2(MAX_LOD) * 4.0, ofs + ofs * aoQuality)) - { - vec4 t = min(times.yyyy, vec4(time) + (vec4(0.25, 0.5, 0.75, 1.0) - jitter) * ofs); - vec4 cos1 = uvs.xyxy + t_phi.xyxy * t.xxyy; - vec4 cos2 = uvs.xyxy + t_phi.xyxy * t.zzww; - float lod = min(MAX_LOD, max(i - jitter * 4.0, 0.0) * aoQuality); - get_max_horizon_grouped(cos1, cos2, pos, lod, h.x); - } - - return h; + max_dir *= max_v2(abs(t_phi)); + + /* Convert to pixel space. */ + t_phi /= vec2(textureSize(maxzBuffer, 0)); + + /* Avoid division by 0 */ + t_phi += vec2(1e-5); + + jitter *= 0.25; + + /* Compute end points */ + vec2 corner1 = min(vec2(1.0) - uvs, max_dir); /* Top right */ + vec2 corner2 = max(vec2(0.0) - uvs, -max_dir); /* Bottom left */ + vec2 iter1 = corner1 / t_phi; + vec2 iter2 = corner2 / t_phi; + + vec2 min_iter = max(-iter1, -iter2); + vec2 max_iter = max(iter1, iter2); + + vec2 times = vec2(-min_v2(min_iter), min_v2(max_iter)); + + vec2 h = vec2(-1.0); /* init at cos(pi) */ + + /* This is freaking sexy optimized. */ + for (float i = 0.0, ofs = 4.0, time = -1.0; i < MAX_SEARCH_ITER && time > times.x; + i++, time -= ofs, ofs = min(exp2(MAX_LOD) * 4.0, ofs + ofs * aoQuality)) { + vec4 t = max(times.xxxx, vec4(time) - (vec4(0.25, 0.5, 0.75, 1.0) - jitter) * ofs); + vec4 cos1 = uvs.xyxy + t_phi.xyxy * t.xxyy; + vec4 cos2 = uvs.xyxy + t_phi.xyxy * t.zzww; + float lod = min(MAX_LOD, max(i - jitter * 4.0, 0.0) * aoQuality); + get_max_horizon_grouped(cos1, cos2, pos, lod, h.y); + } + + for (float i = 0.0, ofs = 4.0, time = 1.0; i < MAX_SEARCH_ITER && time < times.y; + i++, time += ofs, ofs = min(exp2(MAX_LOD) * 4.0, ofs + ofs * aoQuality)) { + vec4 t = min(times.yyyy, vec4(time) + (vec4(0.25, 0.5, 0.75, 1.0) - jitter) * ofs); + vec4 cos1 = uvs.xyxy + t_phi.xyxy * t.xxyy; + vec4 cos2 = uvs.xyxy + t_phi.xyxy * t.zzww; + float lod = min(MAX_LOD, max(i - jitter * 4.0, 0.0) * aoQuality); + get_max_horizon_grouped(cos1, cos2, pos, lod, h.x); + } + + return h; } -void integrate_slice(vec3 normal, vec2 t_phi, vec2 horizons, inout float visibility, inout vec3 bent_normal) +void integrate_slice( + vec3 normal, vec2 t_phi, vec2 horizons, inout float visibility, inout vec3 bent_normal) { - /* Projecting Normal to Plane P defined by t_phi and omega_o */ - vec3 np = vec3(t_phi.y, -t_phi.x, 0.0); /* Normal vector to Integration plane */ - vec3 t = vec3(-t_phi, 0.0); - vec3 n_proj = normal - np * dot(np, normal); - float n_proj_len = max(1e-16, length(n_proj)); - - float cos_n = clamp(n_proj.z / n_proj_len, -1.0, 1.0); - float n = sign(dot(n_proj, t)) * fast_acos(cos_n); /* Angle between view vec and normal */ - - /* (Slide 54) */ - vec2 h = fast_acos(horizons); - h.x = -h.x; - - /* Clamping thetas (slide 58) */ - h.x = n + max(h.x - n, -M_PI_2); - h.y = n + min(h.y - n, M_PI_2); - - /* Solving inner integral */ - vec2 h_2 = 2.0 * h; - vec2 vd = -cos(h_2 - n) + cos_n + h_2 * sin(n); - float vis = (vd.x + vd.y) * 0.25 * n_proj_len; - - visibility += vis; - - /* O. Klehm, T. Ritschel, E. Eisemann, H.-P. Seidel - * Bent Normals and Cones in Screen-space - * Sec. 3.1 : Bent normals */ - float b_angle = (h.x + h.y) * 0.5; - bent_normal += vec3(sin(b_angle) * -t_phi, cos(b_angle)) * vis; + /* Projecting Normal to Plane P defined by t_phi and omega_o */ + vec3 np = vec3(t_phi.y, -t_phi.x, 0.0); /* Normal vector to Integration plane */ + vec3 t = vec3(-t_phi, 0.0); + vec3 n_proj = normal - np * dot(np, normal); + float n_proj_len = max(1e-16, length(n_proj)); + + float cos_n = clamp(n_proj.z / n_proj_len, -1.0, 1.0); + float n = sign(dot(n_proj, t)) * fast_acos(cos_n); /* Angle between view vec and normal */ + + /* (Slide 54) */ + vec2 h = fast_acos(horizons); + h.x = -h.x; + + /* Clamping thetas (slide 58) */ + h.x = n + max(h.x - n, -M_PI_2); + h.y = n + min(h.y - n, M_PI_2); + + /* Solving inner integral */ + vec2 h_2 = 2.0 * h; + vec2 vd = -cos(h_2 - n) + cos_n + h_2 * sin(n); + float vis = (vd.x + vd.y) * 0.25 * n_proj_len; + + visibility += vis; + + /* O. Klehm, T. Ritschel, E. Eisemann, H.-P. Seidel + * Bent Normals and Cones in Screen-space + * Sec. 3.1 : Bent normals */ + float b_angle = (h.x + h.y) * 0.5; + bent_normal += vec3(sin(b_angle) * -t_phi, cos(b_angle)) * vis; } void gtao_deferred( - vec3 normal, vec4 noise, float frag_depth, out float visibility, out vec3 bent_normal) + vec3 normal, vec4 noise, float frag_depth, out float visibility, out vec3 bent_normal) { - /* Fetch early, hide latency! */ - vec4 horizons = texelFetch(horizonBuffer, ivec2(gl_FragCoord.xy), 0); + /* Fetch early, hide latency! */ + vec4 horizons = texelFetch(horizonBuffer, ivec2(gl_FragCoord.xy), 0); - vec4 dirs; - dirs.xy = get_ao_dir(noise.x * 0.5); - dirs.zw = get_ao_dir(noise.x * 0.5 + 0.5); + vec4 dirs; + dirs.xy = get_ao_dir(noise.x * 0.5); + dirs.zw = get_ao_dir(noise.x * 0.5 + 0.5); - bent_normal = vec3(0.0); - visibility = 0.0; + bent_normal = vec3(0.0); + visibility = 0.0; - horizons = unpack_horizons(horizons); + horizons = unpack_horizons(horizons); - integrate_slice(normal, dirs.xy, horizons.xy, visibility, bent_normal); - integrate_slice(normal, dirs.zw, horizons.zw, visibility, bent_normal); + integrate_slice(normal, dirs.xy, horizons.xy, visibility, bent_normal); + integrate_slice(normal, dirs.zw, horizons.zw, visibility, bent_normal); - bent_normal = normalize(bent_normal / visibility); + bent_normal = normalize(bent_normal / visibility); - visibility *= 0.5; /* We integrated 2 slices. */ + visibility *= 0.5; /* We integrated 2 slices. */ } void gtao(vec3 normal, vec3 position, vec4 noise, out float visibility, out vec3 bent_normal) { - vec2 uvs = get_uvs_from_view(position); - vec2 max_dir = get_max_dir(position.z); - vec2 dir = get_ao_dir(noise.x); + vec2 uvs = get_uvs_from_view(position); + vec2 max_dir = get_max_dir(position.z); + vec2 dir = get_ao_dir(noise.x); - bent_normal = vec3(0.0); - visibility = 0.0; + bent_normal = vec3(0.0); + visibility = 0.0; - /* Only trace in 2 directions. May lead to a darker result but since it's mostly for - * alpha blended objects that will have overdraw, we limit the performance impact. */ - vec2 horizons = search_horizon_sweep(dir, position, uvs, noise.y, max_dir); - integrate_slice(normal, dir, horizons, visibility, bent_normal); + /* Only trace in 2 directions. May lead to a darker result but since it's mostly for + * alpha blended objects that will have overdraw, we limit the performance impact. */ + vec2 horizons = search_horizon_sweep(dir, position, uvs, noise.y, max_dir); + integrate_slice(normal, dir, horizons, visibility, bent_normal); - bent_normal = normalize(bent_normal / visibility); + bent_normal = normalize(bent_normal / visibility); } /* Multibounce approximation base on surface albedo. * Page 78 in the .pdf version. */ float gtao_multibounce(float visibility, vec3 albedo) { - if (aoBounceFac == 0.0) return visibility; + if (aoBounceFac == 0.0) + return visibility; - /* Median luminance. Because Colored multibounce looks bad. */ - float lum = dot(albedo, vec3(0.3333)); + /* Median luminance. Because Colored multibounce looks bad. */ + float lum = dot(albedo, vec3(0.3333)); - float a = 2.0404 * lum - 0.3324; - float b = -4.7951 * lum + 0.6417; - float c = 2.7552 * lum + 0.6903; + float a = 2.0404 * lum - 0.3324; + float b = -4.7951 * lum + 0.6417; + float c = 2.7552 * lum + 0.6903; - float x = visibility; - return max(x, ((x * a + b) * x + c) * x); + float x = visibility; + return max(x, ((x * a + b) * x + c) * x); } /* Use the right occlusion */ float occlusion_compute(vec3 N, vec3 vpos, float user_occlusion, vec4 rand, out vec3 bent_normal) { #ifndef USE_REFRACTION - if ((int(aoSettings) & USE_AO) != 0) { - float visibility; - vec3 vnor = mat3(ViewMatrix) * N; - -#ifdef ENABLE_DEFERED_AO - gtao_deferred(vnor, rand, gl_FragCoord.z, visibility, bent_normal); -#else - gtao(vnor, vpos, rand, visibility, bent_normal); -#endif + if ((int(aoSettings) & USE_AO) != 0) { + float visibility; + vec3 vnor = mat3(ViewMatrix) * N; + +# ifdef ENABLE_DEFERED_AO + gtao_deferred(vnor, rand, gl_FragCoord.z, visibility, bent_normal); +# else + gtao(vnor, vpos, rand, visibility, bent_normal); +# endif - /* Prevent some problems down the road. */ - visibility = max(1e-3, visibility); + /* Prevent some problems down the road. */ + visibility = max(1e-3, visibility); - if ((int(aoSettings) & USE_BENT_NORMAL) != 0) { - /* The bent normal will show the facet look of the mesh. Try to minimize this. */ - float mix_fac = visibility * visibility * visibility; - bent_normal = normalize(mix(bent_normal, vnor, mix_fac)); + if ((int(aoSettings) & USE_BENT_NORMAL) != 0) { + /* The bent normal will show the facet look of the mesh. Try to minimize this. */ + float mix_fac = visibility * visibility * visibility; + bent_normal = normalize(mix(bent_normal, vnor, mix_fac)); - bent_normal = transform_direction(ViewMatrixInverse, bent_normal); - } - else { - bent_normal = N; - } + bent_normal = transform_direction(ViewMatrixInverse, bent_normal); + } + else { + bent_normal = N; + } - /* Scale by user factor */ - visibility = pow(visibility, aoFactor); + /* Scale by user factor */ + visibility = pow(visibility, aoFactor); - return min(visibility, user_occlusion); - } + return min(visibility, user_occlusion); + } #endif - bent_normal = N; - return user_occlusion; + bent_normal = N; + return user_occlusion; } diff --git a/source/blender/draw/engines/eevee/shaders/background_vert.glsl b/source/blender/draw/engines/eevee/shaders/background_vert.glsl index 8b4bc3382f4..aff8e0857f6 100644 --- a/source/blender/draw/engines/eevee/shaders/background_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/background_vert.glsl @@ -12,16 +12,16 @@ out vec3 viewNormal; void main() { - gl_Position = vec4(pos, 1.0, 1.0); - viewPosition = vec3(pos, -1.0); + gl_Position = vec4(pos, 1.0, 1.0); + viewPosition = vec3(pos, -1.0); #ifndef VOLUMETRICS - /* Not used in practice but needed to avoid compilation errors. */ - worldPosition = viewPosition; - worldNormal = viewNormal = normalize(-viewPosition); + /* Not used in practice but needed to avoid compilation errors. */ + worldPosition = viewPosition; + worldNormal = viewNormal = normalize(-viewPosition); #endif #ifdef USE_ATTR - pass_attr(viewPosition); + pass_attr(viewPosition); #endif } diff --git a/source/blender/draw/engines/eevee/shaders/bsdf_common_lib.glsl b/source/blender/draw/engines/eevee/shaders/bsdf_common_lib.glsl index 5bd5aca576e..fdaec58977f 100644 --- a/source/blender/draw/engines/eevee/shaders/bsdf_common_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/bsdf_common_lib.glsl @@ -1,10 +1,10 @@ -#define M_PI 3.14159265358979323846 /* pi */ -#define M_2PI 6.28318530717958647692 /* 2*pi */ -#define M_PI_2 1.57079632679489661923 /* pi/2 */ -#define M_1_PI 0.318309886183790671538 /* 1/pi */ -#define M_1_2PI 0.159154943091895335768 /* 1/(2*pi) */ -#define M_1_PI2 0.101321183642337771443 /* 1/(pi^2) */ +#define M_PI 3.14159265358979323846 /* pi */ +#define M_2PI 6.28318530717958647692 /* 2*pi */ +#define M_PI_2 1.57079632679489661923 /* pi/2 */ +#define M_1_PI 0.318309886183790671538 /* 1/pi */ +#define M_1_2PI 0.159154943091895335768 /* 1/(2*pi) */ +#define M_1_PI2 0.101321183642337771443 /* 1/(pi^2) */ #define LUT_SIZE 64 @@ -15,146 +15,209 @@ uniform sampler2D maxzBuffer; uniform sampler2D minzBuffer; uniform sampler2DArray planarDepth; -#define cameraForward normalize(ViewMatrixInverse[2].xyz) -#define cameraPos ViewMatrixInverse[3].xyz -#define cameraVec ((ProjectionMatrix[3][3] == 0.0) ? normalize(cameraPos - worldPosition) : cameraForward) -#define viewCameraVec ((ProjectionMatrix[3][3] == 0.0) ? normalize(-viewPosition) : vec3(0.0, 0.0, 1.0)) +#define cameraForward normalize(ViewMatrixInverse[2].xyz) +#define cameraPos ViewMatrixInverse[3].xyz +#define cameraVec \ + ((ProjectionMatrix[3][3] == 0.0) ? normalize(cameraPos - worldPosition) : cameraForward) +#define viewCameraVec \ + ((ProjectionMatrix[3][3] == 0.0) ? normalize(-viewPosition) : vec3(0.0, 0.0, 1.0)) /* ------- Structures -------- */ /* ------ Lights ----- */ struct LightData { - vec4 position_influence; /* w : InfluenceRadius (inversed and squared) */ - vec4 color_spec; /* w : Spec Intensity */ - vec4 spotdata_radius_shadow; /* x : spot size, y : spot blend, z : radius, w: shadow id */ - vec4 rightvec_sizex; /* xyz: Normalized up vector, w: area size X or spot scale X */ - vec4 upvec_sizey; /* xyz: Normalized right vector, w: area size Y or spot scale Y */ - vec4 forwardvec_type; /* xyz: Normalized forward vector, w: Light Type */ + vec4 position_influence; /* w : InfluenceRadius (inversed and squared) */ + vec4 color_spec; /* w : Spec Intensity */ + vec4 spotdata_radius_shadow; /* x : spot size, y : spot blend, z : radius, w: shadow id */ + vec4 rightvec_sizex; /* xyz: Normalized up vector, w: area size X or spot scale X */ + vec4 upvec_sizey; /* xyz: Normalized right vector, w: area size Y or spot scale Y */ + vec4 forwardvec_type; /* xyz: Normalized forward vector, w: Light Type */ }; /* convenience aliases */ -#define l_color color_spec.rgb -#define l_spec color_spec.a -#define l_position position_influence.xyz -#define l_influence position_influence.w -#define l_sizex rightvec_sizex.w -#define l_sizey upvec_sizey.w -#define l_right rightvec_sizex.xyz -#define l_up upvec_sizey.xyz -#define l_forward forwardvec_type.xyz -#define l_type forwardvec_type.w -#define l_spot_size spotdata_radius_shadow.x -#define l_spot_blend spotdata_radius_shadow.y -#define l_radius spotdata_radius_shadow.z -#define l_shadowid spotdata_radius_shadow.w +#define l_color color_spec.rgb +#define l_spec color_spec.a +#define l_position position_influence.xyz +#define l_influence position_influence.w +#define l_sizex rightvec_sizex.w +#define l_sizey upvec_sizey.w +#define l_right rightvec_sizex.xyz +#define l_up upvec_sizey.xyz +#define l_forward forwardvec_type.xyz +#define l_type forwardvec_type.w +#define l_spot_size spotdata_radius_shadow.x +#define l_spot_blend spotdata_radius_shadow.y +#define l_radius spotdata_radius_shadow.z +#define l_shadowid spotdata_radius_shadow.w /* ------ Shadows ----- */ #ifndef MAX_CASCADE_NUM -#define MAX_CASCADE_NUM 4 +# define MAX_CASCADE_NUM 4 #endif struct ShadowData { - vec4 near_far_bias_exp; - vec4 shadow_data_start_end; - vec4 contact_shadow_data; + vec4 near_far_bias_exp; + vec4 shadow_data_start_end; + vec4 contact_shadow_data; }; struct ShadowCubeData { - vec4 position; + vec4 position; }; struct ShadowCascadeData { - mat4 shadowmat[MAX_CASCADE_NUM]; - vec4 split_start_distances; - vec4 split_end_distances; + mat4 shadowmat[MAX_CASCADE_NUM]; + vec4 split_start_distances; + vec4 split_end_distances; }; /* convenience aliases */ -#define sh_near near_far_bias_exp.x -#define sh_far near_far_bias_exp.y -#define sh_bias near_far_bias_exp.z -#define sh_exp near_far_bias_exp.w -#define sh_bleed near_far_bias_exp.w -#define sh_tex_start shadow_data_start_end.x -#define sh_data_start shadow_data_start_end.y -#define sh_multi_nbr shadow_data_start_end.z -#define sh_blur shadow_data_start_end.w -#define sh_contact_dist contact_shadow_data.x -#define sh_contact_offset contact_shadow_data.y -#define sh_contact_spread contact_shadow_data.z -#define sh_contact_thickness contact_shadow_data.w +#define sh_near near_far_bias_exp.x +#define sh_far near_far_bias_exp.y +#define sh_bias near_far_bias_exp.z +#define sh_exp near_far_bias_exp.w +#define sh_bleed near_far_bias_exp.w +#define sh_tex_start shadow_data_start_end.x +#define sh_data_start shadow_data_start_end.y +#define sh_multi_nbr shadow_data_start_end.z +#define sh_blur shadow_data_start_end.w +#define sh_contact_dist contact_shadow_data.x +#define sh_contact_offset contact_shadow_data.y +#define sh_contact_spread contact_shadow_data.z +#define sh_contact_thickness contact_shadow_data.w /* ------- Convenience functions --------- */ -vec3 mul(mat3 m, vec3 v) { return m * v; } -mat3 mul(mat3 m1, mat3 m2) { return m1 * m2; } -vec3 transform_direction(mat4 m, vec3 v) { return mat3(m) * v; } -vec3 transform_point(mat4 m, vec3 v) { return (m * vec4(v, 1.0)).xyz; } -vec3 project_point(mat4 m, vec3 v) { - vec4 tmp = m * vec4(v, 1.0); - return tmp.xyz / tmp.w; -} - -#define min3(a, b, c) min(a, min(b, c)) -#define min4(a, b, c, d) min(a, min3(b, c, d)) -#define min5(a, b, c, d, e) min(a, min4(b, c, d, e)) -#define min6(a, b, c, d, e, f) min(a, min5(b, c, d, e, f)) -#define min7(a, b, c, d, e, f, g) min(a, min6(b, c, d, e, f, g)) -#define min8(a, b, c, d, e, f, g, h) min(a, min7(b, c, d, e, f, g, h)) +vec3 mul(mat3 m, vec3 v) +{ + return m * v; +} +mat3 mul(mat3 m1, mat3 m2) +{ + return m1 * m2; +} +vec3 transform_direction(mat4 m, vec3 v) +{ + return mat3(m) * v; +} +vec3 transform_point(mat4 m, vec3 v) +{ + return (m * vec4(v, 1.0)).xyz; +} +vec3 project_point(mat4 m, vec3 v) +{ + vec4 tmp = m * vec4(v, 1.0); + return tmp.xyz / tmp.w; +} + +#define min3(a, b, c) min(a, min(b, c)) +#define min4(a, b, c, d) min(a, min3(b, c, d)) +#define min5(a, b, c, d, e) min(a, min4(b, c, d, e)) +#define min6(a, b, c, d, e, f) min(a, min5(b, c, d, e, f)) +#define min7(a, b, c, d, e, f, g) min(a, min6(b, c, d, e, f, g)) +#define min8(a, b, c, d, e, f, g, h) min(a, min7(b, c, d, e, f, g, h)) #define min9(a, b, c, d, e, f, g, h, i) min(a, min8(b, c, d, e, f, g, h, i)) -#define max3(a, b, c) max(a, max(b, c)) -#define max4(a, b, c, d) max(a, max3(b, c, d)) -#define max5(a, b, c, d, e) max(a, max4(b, c, d, e)) -#define max6(a, b, c, d, e, f) max(a, max5(b, c, d, e, f)) -#define max7(a, b, c, d, e, f, g) max(a, max6(b, c, d, e, f, g)) -#define max8(a, b, c, d, e, f, g, h) max(a, max7(b, c, d, e, f, g, h)) +#define max3(a, b, c) max(a, max(b, c)) +#define max4(a, b, c, d) max(a, max3(b, c, d)) +#define max5(a, b, c, d, e) max(a, max4(b, c, d, e)) +#define max6(a, b, c, d, e, f) max(a, max5(b, c, d, e, f)) +#define max7(a, b, c, d, e, f, g) max(a, max6(b, c, d, e, f, g)) +#define max8(a, b, c, d, e, f, g, h) max(a, max7(b, c, d, e, f, g, h)) #define max9(a, b, c, d, e, f, g, h, i) max(a, max8(b, c, d, e, f, g, h, i)) -#define avg3(a, b, c) (a + b + c) * (1.0 / 3.0) -#define avg4(a, b, c, d) (a + b + c + d) * (1.0 / 4.0) -#define avg5(a, b, c, d, e) (a + b + c + d + e) * (1.0 / 5.0) -#define avg6(a, b, c, d, e, f) (a + b + c + d + e + f) * (1.0 / 6.0) -#define avg7(a, b, c, d, e, f, g) (a + b + c + d + e + f + g) * (1.0 / 7.0) -#define avg8(a, b, c, d, e, f, g, h) (a + b + c + d + e + f + g + h) * (1.0 / 8.0) +#define avg3(a, b, c) (a + b + c) * (1.0 / 3.0) +#define avg4(a, b, c, d) (a + b + c + d) * (1.0 / 4.0) +#define avg5(a, b, c, d, e) (a + b + c + d + e) * (1.0 / 5.0) +#define avg6(a, b, c, d, e, f) (a + b + c + d + e + f) * (1.0 / 6.0) +#define avg7(a, b, c, d, e, f, g) (a + b + c + d + e + f + g) * (1.0 / 7.0) +#define avg8(a, b, c, d, e, f, g, h) (a + b + c + d + e + f + g + h) * (1.0 / 8.0) #define avg9(a, b, c, d, e, f, g, h, i) (a + b + c + d + e + f + g + h + i) * (1.0 / 9.0) -float min_v2(vec2 v) { return min(v.x, v.y); } -float min_v3(vec3 v) { return min(v.x, min(v.y, v.z)); } -float max_v2(vec2 v) { return max(v.x, v.y); } -float max_v3(vec3 v) { return max(v.x, max(v.y, v.z)); } +float min_v2(vec2 v) +{ + return min(v.x, v.y); +} +float min_v3(vec3 v) +{ + return min(v.x, min(v.y, v.z)); +} +float max_v2(vec2 v) +{ + return max(v.x, v.y); +} +float max_v3(vec3 v) +{ + return max(v.x, max(v.y, v.z)); +} -float sum(vec2 v) { return dot(vec2(1.0), v); } -float sum(vec3 v) { return dot(vec3(1.0), v); } -float sum(vec4 v) { return dot(vec4(1.0), v); } +float sum(vec2 v) +{ + return dot(vec2(1.0), v); +} +float sum(vec3 v) +{ + return dot(vec3(1.0), v); +} +float sum(vec4 v) +{ + return dot(vec4(1.0), v); +} -float saturate(float a) { return clamp(a, 0.0, 1.0); } -vec2 saturate(vec2 a) { return clamp(a, 0.0, 1.0); } -vec3 saturate(vec3 a) { return clamp(a, 0.0, 1.0); } -vec4 saturate(vec4 a) { return clamp(a, 0.0, 1.0); } +float saturate(float a) +{ + return clamp(a, 0.0, 1.0); +} +vec2 saturate(vec2 a) +{ + return clamp(a, 0.0, 1.0); +} +vec3 saturate(vec3 a) +{ + return clamp(a, 0.0, 1.0); +} +vec4 saturate(vec4 a) +{ + return clamp(a, 0.0, 1.0); +} -float distance_squared(vec2 a, vec2 b) { a -= b; return dot(a, a); } -float distance_squared(vec3 a, vec3 b) { a -= b; return dot(a, a); } -float len_squared(vec3 a) { return dot(a, a); } +float distance_squared(vec2 a, vec2 b) +{ + a -= b; + return dot(a, a); +} +float distance_squared(vec3 a, vec3 b) +{ + a -= b; + return dot(a, a); +} +float len_squared(vec3 a) +{ + return dot(a, a); +} -float inverse_distance(vec3 V) { return max( 1 / length(V), 1e-8); } +float inverse_distance(vec3 V) +{ + return max(1 / length(V), 1e-8); +} -vec2 mip_ratio_interp(float mip) { - float low_mip = floor(mip); - return mix(mipRatio[int(low_mip)], mipRatio[int(low_mip + 1.0)], mip - low_mip); +vec2 mip_ratio_interp(float mip) +{ + float low_mip = floor(mip); + return mix(mipRatio[int(low_mip)], mipRatio[int(low_mip + 1.0)], mip - low_mip); } /* ------- RNG ------- */ float wang_hash_noise(uint s) { - s = (s ^ 61u) ^ (s >> 16u); - s *= 9u; - s = s ^ (s >> 4u); - s *= 0x27d4eb2du; - s = s ^ (s >> 15u); + s = (s ^ 61u) ^ (s >> 16u); + s *= 9u; + s = s ^ (s >> 4u); + s *= 0x27d4eb2du; + s = s ^ (s >> 15u); - return fract(float(s) / 4294967296.0); + return fract(float(s) / 4294967296.0); } /* ------- Fast Math ------- */ @@ -162,281 +225,283 @@ float wang_hash_noise(uint s) /* [Drobot2014a] Low Level Optimizations for GCN */ float fast_sqrt(float v) { - return intBitsToFloat(0x1fbd1df5 + (floatBitsToInt(v) >> 1)); + return intBitsToFloat(0x1fbd1df5 + (floatBitsToInt(v) >> 1)); } vec2 fast_sqrt(vec2 v) { - return intBitsToFloat(0x1fbd1df5 + (floatBitsToInt(v) >> 1)); + return intBitsToFloat(0x1fbd1df5 + (floatBitsToInt(v) >> 1)); } /* [Eberly2014] GPGPU Programming for Games and Science */ float fast_acos(float v) { - float res = -0.156583 * abs(v) + M_PI_2; - res *= fast_sqrt(1.0 - abs(v)); - return (v >= 0) ? res : M_PI - res; + float res = -0.156583 * abs(v) + M_PI_2; + res *= fast_sqrt(1.0 - abs(v)); + return (v >= 0) ? res : M_PI - res; } vec2 fast_acos(vec2 v) { - vec2 res = -0.156583 * abs(v) + M_PI_2; - res *= fast_sqrt(1.0 - abs(v)); - v.x = (v.x >= 0) ? res.x : M_PI - res.x; - v.y = (v.y >= 0) ? res.y : M_PI - res.y; - return v; + vec2 res = -0.156583 * abs(v) + M_PI_2; + res *= fast_sqrt(1.0 - abs(v)); + v.x = (v.x >= 0) ? res.x : M_PI - res.x; + v.y = (v.y >= 0) ? res.y : M_PI - res.y; + return v; } float point_plane_projection_dist(vec3 lineorigin, vec3 planeorigin, vec3 planenormal) { - return dot(planenormal, planeorigin - lineorigin); + return dot(planenormal, planeorigin - lineorigin); } -float line_plane_intersect_dist(vec3 lineorigin, vec3 linedirection, vec3 planeorigin, vec3 planenormal) +float line_plane_intersect_dist(vec3 lineorigin, + vec3 linedirection, + vec3 planeorigin, + vec3 planenormal) { - return dot(planenormal, planeorigin - lineorigin) / dot(planenormal, linedirection); + return dot(planenormal, planeorigin - lineorigin) / dot(planenormal, linedirection); } float line_plane_intersect_dist(vec3 lineorigin, vec3 linedirection, vec4 plane) { - vec3 plane_co = plane.xyz * (-plane.w / len_squared(plane.xyz)); - vec3 h = lineorigin - plane_co; - return -dot(plane.xyz, h) / dot(plane.xyz, linedirection); + vec3 plane_co = plane.xyz * (-plane.w / len_squared(plane.xyz)); + vec3 h = lineorigin - plane_co; + return -dot(plane.xyz, h) / dot(plane.xyz, linedirection); } vec3 line_plane_intersect(vec3 lineorigin, vec3 linedirection, vec3 planeorigin, vec3 planenormal) { - float dist = line_plane_intersect_dist(lineorigin, linedirection, planeorigin, planenormal); - return lineorigin + linedirection * dist; + float dist = line_plane_intersect_dist(lineorigin, linedirection, planeorigin, planenormal); + return lineorigin + linedirection * dist; } vec3 line_plane_intersect(vec3 lineorigin, vec3 linedirection, vec4 plane) { - float dist = line_plane_intersect_dist(lineorigin, linedirection, plane); - return lineorigin + linedirection * dist; + float dist = line_plane_intersect_dist(lineorigin, linedirection, plane); + return lineorigin + linedirection * dist; } float line_aligned_plane_intersect_dist(vec3 lineorigin, vec3 linedirection, vec3 planeorigin) { - /* aligned plane normal */ - vec3 L = planeorigin - lineorigin; - float diskdist = length(L); - vec3 planenormal = -normalize(L); - return -diskdist / dot(planenormal, linedirection); + /* aligned plane normal */ + vec3 L = planeorigin - lineorigin; + float diskdist = length(L); + vec3 planenormal = -normalize(L); + return -diskdist / dot(planenormal, linedirection); } vec3 line_aligned_plane_intersect(vec3 lineorigin, vec3 linedirection, vec3 planeorigin) { - float dist = line_aligned_plane_intersect_dist(lineorigin, linedirection, planeorigin); - if (dist < 0) { - /* if intersection is behind we fake the intersection to be - * really far and (hopefully) not inside the radius of interest */ - dist = 1e16; - } - return lineorigin + linedirection * dist; + float dist = line_aligned_plane_intersect_dist(lineorigin, linedirection, planeorigin); + if (dist < 0) { + /* if intersection is behind we fake the intersection to be + * really far and (hopefully) not inside the radius of interest */ + dist = 1e16; + } + return lineorigin + linedirection * dist; } float line_unit_sphere_intersect_dist(vec3 lineorigin, vec3 linedirection) { - float a = dot(linedirection, linedirection); - float b = dot(linedirection, lineorigin); - float c = dot(lineorigin, lineorigin) - 1; + float a = dot(linedirection, linedirection); + float b = dot(linedirection, lineorigin); + float c = dot(lineorigin, lineorigin) - 1; - float dist = 1e15; - float determinant = b * b - a * c; - if (determinant >= 0) { - dist = (sqrt(determinant) - b) / a; - } + float dist = 1e15; + float determinant = b * b - a * c; + if (determinant >= 0) { + dist = (sqrt(determinant) - b) / a; + } - return dist; + return dist; } float line_unit_box_intersect_dist(vec3 lineorigin, vec3 linedirection) { - /* https://seblagarde.wordpress.com/2012/09/29/image-based-lighting-approaches-and-parallax-corrected-cubemap/ */ - vec3 firstplane = (vec3( 1.0) - lineorigin) / linedirection; - vec3 secondplane = (vec3(-1.0) - lineorigin) / linedirection; - vec3 furthestplane = max(firstplane, secondplane); + /* https://seblagarde.wordpress.com/2012/09/29/image-based-lighting-approaches-and-parallax-corrected-cubemap/ */ + vec3 firstplane = (vec3(1.0) - lineorigin) / linedirection; + vec3 secondplane = (vec3(-1.0) - lineorigin) / linedirection; + vec3 furthestplane = max(firstplane, secondplane); - return min_v3(furthestplane); + return min_v3(furthestplane); } - /* Return texture coordinates to sample Surface LUT */ vec2 lut_coords(float cosTheta, float roughness) { - float theta = acos(cosTheta); - vec2 coords = vec2(roughness, theta / M_PI_2); + float theta = acos(cosTheta); + vec2 coords = vec2(roughness, theta / M_PI_2); - /* scale and bias coordinates, for correct filtered lookup */ - return coords * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; + /* scale and bias coordinates, for correct filtered lookup */ + return coords * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; } vec2 lut_coords_ltc(float cosTheta, float roughness) { - vec2 coords = vec2(roughness, sqrt(1.0 - cosTheta)); + vec2 coords = vec2(roughness, sqrt(1.0 - cosTheta)); - /* scale and bias coordinates, for correct filtered lookup */ - return coords * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; + /* scale and bias coordinates, for correct filtered lookup */ + return coords * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; } /* -- Tangent Space conversion -- */ vec3 tangent_to_world(vec3 vector, vec3 N, vec3 T, vec3 B) { - return T * vector.x + B * vector.y + N * vector.z; + return T * vector.x + B * vector.y + N * vector.z; } vec3 world_to_tangent(vec3 vector, vec3 N, vec3 T, vec3 B) { - return vec3( dot(T, vector), dot(B, vector), dot(N, vector)); + return vec3(dot(T, vector), dot(B, vector), dot(N, vector)); } void make_orthonormal_basis(vec3 N, out vec3 T, out vec3 B) { - vec3 UpVector = abs(N.z) < 0.99999 ? vec3(0.0,0.0,1.0) : vec3(1.0,0.0,0.0); - T = normalize( cross(UpVector, N) ); - B = cross(N, T); + vec3 UpVector = abs(N.z) < 0.99999 ? vec3(0.0, 0.0, 1.0) : vec3(1.0, 0.0, 0.0); + T = normalize(cross(UpVector, N)); + B = cross(N, T); } /* ---- Opengl Depth conversion ---- */ float linear_depth(bool is_persp, float z, float zf, float zn) { - if (is_persp) { - return (zn * zf) / (z * (zn - zf) + zf); - } - else { - return (z * 2.0 - 1.0) * zf; - } + if (is_persp) { + return (zn * zf) / (z * (zn - zf) + zf); + } + else { + return (z * 2.0 - 1.0) * zf; + } } float buffer_depth(bool is_persp, float z, float zf, float zn) { - if (is_persp) { - return (zf * (zn - z)) / (z * (zn - zf)); - } - else { - return (z / (zf * 2.0)) + 0.5; - } + if (is_persp) { + return (zf * (zn - z)) / (z * (zn - zf)); + } + else { + return (z / (zf * 2.0)) + 0.5; + } } float get_view_z_from_depth(float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - float d = 2.0 * depth - 1.0; - return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); - } - else { - return viewVecs[0].z + depth * viewVecs[1].z; - } + if (ProjectionMatrix[3][3] == 0.0) { + float d = 2.0 * depth - 1.0; + return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); + } + else { + return viewVecs[0].z + depth * viewVecs[1].z; + } } float get_depth_from_view_z(float z) { - if (ProjectionMatrix[3][3] == 0.0) { - float d = (-ProjectionMatrix[3][2] / z) - ProjectionMatrix[2][2]; - return d * 0.5 + 0.5; - } - else { - return (z - viewVecs[0].z) / viewVecs[1].z; - } + if (ProjectionMatrix[3][3] == 0.0) { + float d = (-ProjectionMatrix[3][2] / z) - ProjectionMatrix[2][2]; + return d * 0.5 + 0.5; + } + else { + return (z - viewVecs[0].z) / viewVecs[1].z; + } } vec2 get_uvs_from_view(vec3 view) { - vec3 ndc = project_point(ProjectionMatrix, view); - return ndc.xy * 0.5 + 0.5; + vec3 ndc = project_point(ProjectionMatrix, view); + return ndc.xy * 0.5 + 0.5; } vec3 get_view_space_from_depth(vec2 uvcoords, float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - return vec3(viewVecs[0].xy + uvcoords * viewVecs[1].xy, 1.0) * get_view_z_from_depth(depth); - } - else { - return viewVecs[0].xyz + vec3(uvcoords, depth) * viewVecs[1].xyz; - } + if (ProjectionMatrix[3][3] == 0.0) { + return vec3(viewVecs[0].xy + uvcoords * viewVecs[1].xy, 1.0) * get_view_z_from_depth(depth); + } + else { + return viewVecs[0].xyz + vec3(uvcoords, depth) * viewVecs[1].xyz; + } } vec3 get_world_space_from_depth(vec2 uvcoords, float depth) { - return (ViewMatrixInverse * vec4(get_view_space_from_depth(uvcoords, depth), 1.0)).xyz; + return (ViewMatrixInverse * vec4(get_view_space_from_depth(uvcoords, depth), 1.0)).xyz; } vec3 get_specular_reflection_dominant_dir(vec3 N, vec3 V, float roughness) { - vec3 R = -reflect(V, N); - float smoothness = 1.0 - roughness; - float fac = smoothness * (sqrt(smoothness) + roughness); - return normalize(mix(N, R, fac)); + vec3 R = -reflect(V, N); + float smoothness = 1.0 - roughness; + float fac = smoothness * (sqrt(smoothness) + roughness); + return normalize(mix(N, R, fac)); } float specular_occlusion(float NV, float AO, float roughness) { - return saturate(pow(NV + AO, roughness) - 1.0 + AO); + return saturate(pow(NV + AO, roughness) - 1.0 + AO); } /* --- Refraction utils --- */ float ior_from_f0(float f0) { - float f = sqrt(f0); - return (-f - 1.0) / (f - 1.0); + float f = sqrt(f0); + return (-f - 1.0) / (f - 1.0); } float f0_from_ior(float eta) { - float A = (eta - 1.0) / (eta + 1.0); - return A * A; + float A = (eta - 1.0) / (eta + 1.0); + return A * A; } vec3 get_specular_refraction_dominant_dir(vec3 N, vec3 V, float roughness, float ior) { - /* TODO: This a bad approximation. Better approximation should fit - * the refracted vector and roughness into the best prefiltered reflection - * lobe. */ - /* Correct the IOR for ior < 1.0 to not see the abrupt delimitation or the TIR */ - ior = (ior < 1.0) ? mix(ior, 1.0, roughness) : ior; - float eta = 1.0 / ior; + /* TODO: This a bad approximation. Better approximation should fit + * the refracted vector and roughness into the best prefiltered reflection + * lobe. */ + /* Correct the IOR for ior < 1.0 to not see the abrupt delimitation or the TIR */ + ior = (ior < 1.0) ? mix(ior, 1.0, roughness) : ior; + float eta = 1.0 / ior; - float NV = dot(N, -V); + float NV = dot(N, -V); - /* Custom Refraction. */ - float k = 1.0 - eta * eta * (1.0 - NV * NV); - k = max(0.0, k); /* Only this changes. */ - vec3 R = eta * -V - (eta * NV + sqrt(k)) * N; + /* Custom Refraction. */ + float k = 1.0 - eta * eta * (1.0 - NV * NV); + k = max(0.0, k); /* Only this changes. */ + vec3 R = eta * -V - (eta * NV + sqrt(k)) * N; - return R; + return R; } float get_btdf_lut(sampler2DArray btdf_lut_tex, float NV, float roughness, float ior) { - const vec3 lut_scale_bias_texel_size = vec3((LUT_SIZE - 1.0), 0.5, 1.5) / LUT_SIZE; + const vec3 lut_scale_bias_texel_size = vec3((LUT_SIZE - 1.0), 0.5, 1.5) / LUT_SIZE; - vec3 coords; - /* Try to compensate for the low resolution and interpolation error. */ - coords.x = (ior > 1.0) - ? (0.9 + lut_scale_bias_texel_size.z) + (0.1 - lut_scale_bias_texel_size.z) * f0_from_ior(ior) - : (0.9 + lut_scale_bias_texel_size.z) * ior * ior; - coords.y = 1.0 - saturate(NV); - coords.xy *= lut_scale_bias_texel_size.x; - coords.xy += lut_scale_bias_texel_size.y; + vec3 coords; + /* Try to compensate for the low resolution and interpolation error. */ + coords.x = (ior > 1.0) ? (0.9 + lut_scale_bias_texel_size.z) + + (0.1 - lut_scale_bias_texel_size.z) * f0_from_ior(ior) : + (0.9 + lut_scale_bias_texel_size.z) * ior * ior; + coords.y = 1.0 - saturate(NV); + coords.xy *= lut_scale_bias_texel_size.x; + coords.xy += lut_scale_bias_texel_size.y; - const float lut_lvl_ofs = 4.0; /* First texture lvl of roughness. */ - const float lut_lvl_scale = 16.0; /* How many lvl of roughness in the lut. */ + const float lut_lvl_ofs = 4.0; /* First texture lvl of roughness. */ + const float lut_lvl_scale = 16.0; /* How many lvl of roughness in the lut. */ - float mip = roughness * lut_lvl_scale; - float mip_floor = floor(mip); + float mip = roughness * lut_lvl_scale; + float mip_floor = floor(mip); - coords.z = lut_lvl_ofs + mip_floor + 1.0; - float btdf_high = textureLod(btdf_lut_tex, coords, 0.0).r; + coords.z = lut_lvl_ofs + mip_floor + 1.0; + float btdf_high = textureLod(btdf_lut_tex, coords, 0.0).r; - coords.z -= 1.0; - float btdf_low = textureLod(btdf_lut_tex, coords, 0.0).r; + coords.z -= 1.0; + float btdf_low = textureLod(btdf_lut_tex, coords, 0.0).r; - float btdf = (ior == 1.0) ? 1.0 : mix(btdf_low, btdf_high, mip - coords.z); + float btdf = (ior == 1.0) ? 1.0 : mix(btdf_low, btdf_high, mip - coords.z); - return btdf; + return btdf; } /* ---- Encode / Decode Normal buffer data ---- */ @@ -444,19 +509,19 @@ float get_btdf_lut(sampler2DArray btdf_lut_tex, float NV, float roughness, float * Using Method #4: Spheremap Transform */ vec2 normal_encode(vec3 n, vec3 view) { - float p = sqrt(n.z * 8.0 + 8.0); - return n.xy / p + 0.5; + float p = sqrt(n.z * 8.0 + 8.0); + return n.xy / p + 0.5; } vec3 normal_decode(vec2 enc, vec3 view) { - vec2 fenc = enc * 4.0 - 2.0; - float f = dot(fenc, fenc); - float g = sqrt(1.0 - f / 4.0); - vec3 n; - n.xy = fenc*g; - n.z = 1 - f / 2; - return n; + vec2 fenc = enc * 4.0 - 2.0; + float f = dot(fenc, fenc); + float g = sqrt(1.0 - f / 4.0); + vec3 n; + n.xy = fenc * g; + n.z = 1 - f / 2; + return n; } /* ---- RGBM (shared multiplier) encoding ---- */ @@ -467,170 +532,170 @@ vec3 normal_decode(vec2 enc, vec3 view) vec4 rgbm_encode(vec3 rgb) { - float maxRGB = max_v3(rgb); - float M = maxRGB / RGBM_MAX_RANGE; - M = ceil(M * 255.0) / 255.0; - return vec4(rgb / (M * RGBM_MAX_RANGE), M); + float maxRGB = max_v3(rgb); + float M = maxRGB / RGBM_MAX_RANGE; + M = ceil(M * 255.0) / 255.0; + return vec4(rgb / (M * RGBM_MAX_RANGE), M); } vec3 rgbm_decode(vec4 data) { - return data.rgb * (data.a * RGBM_MAX_RANGE); + return data.rgb * (data.a * RGBM_MAX_RANGE); } /* ---- RGBE (shared exponent) encoding ---- */ vec4 rgbe_encode(vec3 rgb) { - float maxRGB = max_v3(rgb); - float fexp = ceil(log2(maxRGB)); - return vec4(rgb / exp2(fexp), (fexp + 128.0) / 255.0); + float maxRGB = max_v3(rgb); + float fexp = ceil(log2(maxRGB)); + return vec4(rgb / exp2(fexp), (fexp + 128.0) / 255.0); } vec3 rgbe_decode(vec4 data) { - float fexp = data.a * 255.0 - 128.0; - return data.rgb * exp2(fexp); + float fexp = data.a * 255.0 - 128.0; + return data.rgb * exp2(fexp); } #if 1 -#define irradiance_encode rgbe_encode -#define irradiance_decode rgbe_decode +# define irradiance_encode rgbe_encode +# define irradiance_decode rgbe_decode #else /* No ecoding (when using floating point format) */ -#define irradiance_encode(X) (X).rgbb -#define irradiance_decode(X) (X).rgb +# define irradiance_encode(X) (X).rgbb +# define irradiance_decode(X) (X).rgb #endif /* Irradiance Visibility Encoding */ #if 1 vec4 visibility_encode(vec2 accum, float range) { - accum /= range; + accum /= range; - vec4 data; - data.x = fract(accum.x); - data.y = floor(accum.x) / 255.0; - data.z = fract(accum.y); - data.w = floor(accum.y) / 255.0; + vec4 data; + data.x = fract(accum.x); + data.y = floor(accum.x) / 255.0; + data.z = fract(accum.y); + data.w = floor(accum.y) / 255.0; - return data; + return data; } vec2 visibility_decode(vec4 data, float range) { - return (data.xz + data.yw * 255.0) * range; + return (data.xz + data.yw * 255.0) * range; } #else /* No ecoding (when using floating point format) */ vec4 visibility_encode(vec2 accum, float range) { - return accum.xyxy; + return accum.xyxy; } vec2 visibility_decode(vec4 data, float range) { - return data.xy; + return data.xy; } #endif /* Fresnel monochromatic, perfect mirror */ float F_eta(float eta, float cos_theta) { - /* compute fresnel reflectance without explicitly computing - * the refracted direction */ - float c = abs(cos_theta); - float g = eta * eta - 1.0 + c * c; - float result; - - if (g > 0.0) { - g = sqrt(g); - vec2 g_c = vec2(g) + vec2(c, -c); - float A = g_c.y / g_c.x; - A *= A; - g_c *= c; - float B = (g_c.y - 1.0) / (g_c.x + 1.0); - B *= B; - result = 0.5 * A * (1.0 + B); - } - else { - result = 1.0; /* TIR (no refracted component) */ - } - - return result; + /* compute fresnel reflectance without explicitly computing + * the refracted direction */ + float c = abs(cos_theta); + float g = eta * eta - 1.0 + c * c; + float result; + + if (g > 0.0) { + g = sqrt(g); + vec2 g_c = vec2(g) + vec2(c, -c); + float A = g_c.y / g_c.x; + A *= A; + g_c *= c; + float B = (g_c.y - 1.0) / (g_c.x + 1.0); + B *= B; + result = 0.5 * A * (1.0 + B); + } + else { + result = 1.0; /* TIR (no refracted component) */ + } + + return result; } /* Fresnel color blend base on fresnel factor */ vec3 F_color_blend(float eta, float fresnel, vec3 f0_color) { - float f0 = F_eta(eta, 1.0); - float fac = saturate((fresnel - f0) / max(1e-8, 1.0 - f0)); - return mix(f0_color, vec3(1.0), fac); + float f0 = F_eta(eta, 1.0); + float fac = saturate((fresnel - f0) / max(1e-8, 1.0 - f0)); + return mix(f0_color, vec3(1.0), fac); } /* Fresnel */ vec3 F_schlick(vec3 f0, float cos_theta) { - float fac = 1.0 - cos_theta; - float fac2 = fac * fac; - fac = fac2 * fac2 * fac; + float fac = 1.0 - cos_theta; + float fac2 = fac * fac; + fac = fac2 * fac2 * fac; - /* Unreal specular matching : if specular color is below 2% intensity, - * (using green channel for intensity) treat as shadowning */ - return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * fac + (1.0 - fac) * f0; + /* Unreal specular matching : if specular color is below 2% intensity, + * (using green channel for intensity) treat as shadowning */ + return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * fac + (1.0 - fac) * f0; } /* Fresnel approximation for LTC area lights (not MRP) */ vec3 F_area(vec3 f0, vec2 lut) { - /* Unreal specular matching : if specular color is below 2% intensity, - * treat as shadowning */ - return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * lut.y + lut.x * f0; + /* Unreal specular matching : if specular color is below 2% intensity, + * treat as shadowning */ + return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * lut.y + lut.x * f0; } /* Fresnel approximation for IBL */ vec3 F_ibl(vec3 f0, vec2 lut) { - /* Unreal specular matching : if specular color is below 2% intensity, - * treat as shadowning */ - return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * lut.y + lut.x * f0; + /* Unreal specular matching : if specular color is below 2% intensity, + * treat as shadowning */ + return saturate(50.0 * dot(f0, vec3(0.3, 0.6, 0.1))) * lut.y + lut.x * f0; } /* GGX */ float D_ggx_opti(float NH, float a2) { - float tmp = (NH * a2 - NH) * NH + 1.0; - return M_PI * tmp*tmp; /* Doing RCP and mul a2 at the end */ + float tmp = (NH * a2 - NH) * NH + 1.0; + return M_PI * tmp * tmp; /* Doing RCP and mul a2 at the end */ } float G1_Smith_GGX(float NX, float a2) { - /* Using Brian Karis approach and refactoring by NX/NX - * this way the (2*NL)*(2*NV) in G = G1(V) * G1(L) gets canceled by the brdf denominator 4*NL*NV - * Rcp is done on the whole G later - * Note that this is not convenient for the transmission formula */ - return NX + sqrt(NX * (NX - NX * a2) + a2); - /* return 2 / (1 + sqrt(1 + a2 * (1 - NX*NX) / (NX*NX) ) ); /* Reference function */ + /* Using Brian Karis approach and refactoring by NX/NX + * this way the (2*NL)*(2*NV) in G = G1(V) * G1(L) gets canceled by the brdf denominator 4*NL*NV + * Rcp is done on the whole G later + * Note that this is not convenient for the transmission formula */ + return NX + sqrt(NX * (NX - NX * a2) + a2); + /* return 2 / (1 + sqrt(1 + a2 * (1 - NX*NX) / (NX*NX) ) ); /* Reference function */ } float bsdf_ggx(vec3 N, vec3 L, vec3 V, float roughness) { - float a = roughness; - float a2 = a * a; + float a = roughness; + float a2 = a * a; - vec3 H = normalize(L + V); - float NH = max(dot(N, H), 1e-8); - float NL = max(dot(N, L), 1e-8); - float NV = max(dot(N, V), 1e-8); + vec3 H = normalize(L + V); + float NH = max(dot(N, H), 1e-8); + float NL = max(dot(N, L), 1e-8); + float NV = max(dot(N, V), 1e-8); - float G = G1_Smith_GGX(NV, a2) * G1_Smith_GGX(NL, a2); /* Doing RCP at the end */ - float D = D_ggx_opti(NH, a2); + float G = G1_Smith_GGX(NV, a2) * G1_Smith_GGX(NL, a2); /* Doing RCP at the end */ + float D = D_ggx_opti(NH, a2); - /* Denominator is canceled by G1_Smith */ - /* bsdf = D * G / (4.0 * NL * NV); /* Reference function */ - return NL * a2 / (D * G); /* NL to Fit cycles Equation : line. 345 in bsdf_microfacet.h */ + /* Denominator is canceled by G1_Smith */ + /* bsdf = D * G / (4.0 * NL * NV); /* Reference function */ + return NL * a2 / (D * G); /* NL to Fit cycles Equation : line. 345 in bsdf_microfacet.h */ } void accumulate_light(vec3 light, float fac, inout vec4 accum) { - accum += vec4(light, 1.0) * min(fac, (1.0 - accum.a)); + accum += vec4(light, 1.0) * min(fac, (1.0 - accum.a)); } /* ----------- Cone Aperture Approximation --------- */ @@ -638,173 +703,175 @@ void accumulate_light(vec3 light, float fac, inout vec4 accum) /* Return a fitted cone angle given the input roughness */ float cone_cosine(float r) { - /* Using phong gloss - * roughness = sqrt(2/(gloss+2)) */ - float gloss = -2 + 2 / (r * r); - /* Drobot 2014 in GPUPro5 */ - // return cos(2.0 * sqrt(2.0 / (gloss + 2))); - /* Uludag 2014 in GPUPro5 */ - // return pow(0.244, 1 / (gloss + 1)); - /* Jimenez 2016 in Practical Realtime Strategies for Accurate Indirect Occlusion*/ - return exp2(-3.32193 * r * r); + /* Using phong gloss + * roughness = sqrt(2/(gloss+2)) */ + float gloss = -2 + 2 / (r * r); + /* Drobot 2014 in GPUPro5 */ + // return cos(2.0 * sqrt(2.0 / (gloss + 2))); + /* Uludag 2014 in GPUPro5 */ + // return pow(0.244, 1 / (gloss + 1)); + /* Jimenez 2016 in Practical Realtime Strategies for Accurate Indirect Occlusion*/ + return exp2(-3.32193 * r * r); } /* --------- Closure ---------- */ #ifdef VOLUMETRICS struct Closure { - vec3 absorption; - vec3 scatter; - vec3 emission; - float anisotropy; + vec3 absorption; + vec3 scatter; + vec3 emission; + float anisotropy; }; -#define CLOSURE_DEFAULT Closure(vec3(0.0), vec3(0.0), vec3(0.0), 0.0) +# define CLOSURE_DEFAULT Closure(vec3(0.0), vec3(0.0), vec3(0.0), 0.0) Closure closure_mix(Closure cl1, Closure cl2, float fac) { - Closure cl; - cl.absorption = mix(cl1.absorption, cl2.absorption, fac); - cl.scatter = mix(cl1.scatter, cl2.scatter, fac); - cl.emission = mix(cl1.emission, cl2.emission, fac); - cl.anisotropy = mix(cl1.anisotropy, cl2.anisotropy, fac); - return cl; + Closure cl; + cl.absorption = mix(cl1.absorption, cl2.absorption, fac); + cl.scatter = mix(cl1.scatter, cl2.scatter, fac); + cl.emission = mix(cl1.emission, cl2.emission, fac); + cl.anisotropy = mix(cl1.anisotropy, cl2.anisotropy, fac); + return cl; } Closure closure_add(Closure cl1, Closure cl2) { - Closure cl; - cl.absorption = cl1.absorption + cl2.absorption; - cl.scatter = cl1.scatter + cl2.scatter; - cl.emission = cl1.emission + cl2.emission; - cl.anisotropy = (cl1.anisotropy + cl2.anisotropy) / 2.0; /* Average phase (no multi lobe) */ - return cl; + Closure cl; + cl.absorption = cl1.absorption + cl2.absorption; + cl.scatter = cl1.scatter + cl2.scatter; + cl.emission = cl1.emission + cl2.emission; + cl.anisotropy = (cl1.anisotropy + cl2.anisotropy) / 2.0; /* Average phase (no multi lobe) */ + return cl; } Closure closure_emission(vec3 rgb) { - Closure cl = CLOSURE_DEFAULT; - cl.emission = rgb; - return cl; + Closure cl = CLOSURE_DEFAULT; + cl.emission = rgb; + return cl; } #else /* VOLUMETRICS */ struct Closure { - vec3 radiance; - float opacity; + vec3 radiance; + float opacity; # ifdef USE_SSS - vec4 sss_data; + vec4 sss_data; # ifdef USE_SSS_ALBEDO - vec3 sss_albedo; + vec3 sss_albedo; # endif # endif - vec4 ssr_data; - vec2 ssr_normal; - int ssr_id; + vec4 ssr_data; + vec2 ssr_normal; + int ssr_id; }; /* This is hacking ssr_id to tag transparent bsdf */ -#define TRANSPARENT_CLOSURE_FLAG -2 -#define REFRACT_CLOSURE_FLAG -3 -#define NO_SSR -999 +# define TRANSPARENT_CLOSURE_FLAG -2 +# define REFRACT_CLOSURE_FLAG -3 +# define NO_SSR -999 # ifdef USE_SSS # ifdef USE_SSS_ALBEDO -#define CLOSURE_DEFAULT Closure(vec3(0.0), 1.0, vec4(0.0), vec3(0.0), vec4(0.0), vec2(0.0), -1) +# define CLOSURE_DEFAULT \ + Closure(vec3(0.0), 1.0, vec4(0.0), vec3(0.0), vec4(0.0), vec2(0.0), -1) # else -#define CLOSURE_DEFAULT Closure(vec3(0.0), 1.0, vec4(0.0), vec4(0.0), vec2(0.0), -1) +# define CLOSURE_DEFAULT Closure(vec3(0.0), 1.0, vec4(0.0), vec4(0.0), vec2(0.0), -1) # endif # else -#define CLOSURE_DEFAULT Closure(vec3(0.0), 1.0, vec4(0.0), vec2(0.0), -1) +# define CLOSURE_DEFAULT Closure(vec3(0.0), 1.0, vec4(0.0), vec2(0.0), -1) # endif uniform int outputSsrId; Closure closure_mix(Closure cl1, Closure cl2, float fac) { - Closure cl; + Closure cl; - if (cl1.ssr_id == TRANSPARENT_CLOSURE_FLAG) { - cl1.ssr_normal = cl2.ssr_normal; - cl1.ssr_data = cl2.ssr_data; - cl1.ssr_id = cl2.ssr_id; + if (cl1.ssr_id == TRANSPARENT_CLOSURE_FLAG) { + cl1.ssr_normal = cl2.ssr_normal; + cl1.ssr_data = cl2.ssr_data; + cl1.ssr_id = cl2.ssr_id; # ifdef USE_SSS - cl1.sss_data = cl2.sss_data; + cl1.sss_data = cl2.sss_data; # ifdef USE_SSS_ALBEDO - cl1.sss_albedo = cl2.sss_albedo; + cl1.sss_albedo = cl2.sss_albedo; # endif # endif - } - if (cl2.ssr_id == TRANSPARENT_CLOSURE_FLAG) { - cl2.ssr_normal = cl1.ssr_normal; - cl2.ssr_data = cl1.ssr_data; - cl2.ssr_id = cl1.ssr_id; + } + if (cl2.ssr_id == TRANSPARENT_CLOSURE_FLAG) { + cl2.ssr_normal = cl1.ssr_normal; + cl2.ssr_data = cl1.ssr_data; + cl2.ssr_id = cl1.ssr_id; # ifdef USE_SSS - cl2.sss_data = cl1.sss_data; + cl2.sss_data = cl1.sss_data; # ifdef USE_SSS_ALBEDO - cl2.sss_albedo = cl1.sss_albedo; + cl2.sss_albedo = cl1.sss_albedo; # endif # endif - } - - /* When mixing SSR don't blend roughness. - * - * It makes no sense to mix them really, so we take either one of them and - * tone down its specularity (ssr_data.xyz) while keeping its roughness (ssr_data.w). - */ - if (cl1.ssr_id == outputSsrId) { - cl.ssr_data = mix(cl1.ssr_data.xyzw, vec4(vec3(0.0), cl1.ssr_data.w), fac); - cl.ssr_normal = cl1.ssr_normal; - cl.ssr_id = cl1.ssr_id; - } - else { - cl.ssr_data = mix(vec4(vec3(0.0), cl2.ssr_data.w), cl2.ssr_data.xyzw, fac); - cl.ssr_normal = cl2.ssr_normal; - cl.ssr_id = cl2.ssr_id; - } - - cl.opacity = mix(cl1.opacity, cl2.opacity, fac); - cl.radiance = mix(cl1.radiance * cl1.opacity, cl2.radiance * cl2.opacity, fac); - cl.radiance /= max(1e-8, cl.opacity); + } + + /* When mixing SSR don't blend roughness. + * + * It makes no sense to mix them really, so we take either one of them and + * tone down its specularity (ssr_data.xyz) while keeping its roughness (ssr_data.w). + */ + if (cl1.ssr_id == outputSsrId) { + cl.ssr_data = mix(cl1.ssr_data.xyzw, vec4(vec3(0.0), cl1.ssr_data.w), fac); + cl.ssr_normal = cl1.ssr_normal; + cl.ssr_id = cl1.ssr_id; + } + else { + cl.ssr_data = mix(vec4(vec3(0.0), cl2.ssr_data.w), cl2.ssr_data.xyzw, fac); + cl.ssr_normal = cl2.ssr_normal; + cl.ssr_id = cl2.ssr_id; + } + + cl.opacity = mix(cl1.opacity, cl2.opacity, fac); + cl.radiance = mix(cl1.radiance * cl1.opacity, cl2.radiance * cl2.opacity, fac); + cl.radiance /= max(1e-8, cl.opacity); # ifdef USE_SSS - cl.sss_data.rgb = mix(cl1.sss_data.rgb, cl2.sss_data.rgb, fac); - cl.sss_data.a = (cl1.sss_data.a > 0.0) ? cl1.sss_data.a : cl2.sss_data.a; + cl.sss_data.rgb = mix(cl1.sss_data.rgb, cl2.sss_data.rgb, fac); + cl.sss_data.a = (cl1.sss_data.a > 0.0) ? cl1.sss_data.a : cl2.sss_data.a; # ifdef USE_SSS_ALBEDO - /* TODO Find a solution to this. Dither? */ - cl.sss_albedo = (cl1.sss_data.a > 0.0) ? cl1.sss_albedo : cl2.sss_albedo; + /* TODO Find a solution to this. Dither? */ + cl.sss_albedo = (cl1.sss_data.a > 0.0) ? cl1.sss_albedo : cl2.sss_albedo; # endif # endif - return cl; + return cl; } Closure closure_add(Closure cl1, Closure cl2) { - Closure cl = (cl1.ssr_id == outputSsrId) ? cl1 : cl2; - cl.radiance = cl1.radiance + cl2.radiance; + Closure cl = (cl1.ssr_id == outputSsrId) ? cl1 : cl2; + cl.radiance = cl1.radiance + cl2.radiance; # ifdef USE_SSS - cl.sss_data = (cl1.sss_data.a > 0.0) ? cl1.sss_data : cl2.sss_data; - /* Add radiance that was supposed to be filtered but was rejected. */ - cl.radiance += (cl1.sss_data.a > 0.0) ? cl2.sss_data.rgb : cl1.sss_data.rgb; + cl.sss_data = (cl1.sss_data.a > 0.0) ? cl1.sss_data : cl2.sss_data; + /* Add radiance that was supposed to be filtered but was rejected. */ + cl.radiance += (cl1.sss_data.a > 0.0) ? cl2.sss_data.rgb : cl1.sss_data.rgb; # ifdef USE_SSS_ALBEDO - /* TODO Find a solution to this. Dither? */ - cl.sss_albedo = (cl1.sss_data.a > 0.0) ? cl1.sss_albedo : cl2.sss_albedo; + /* TODO Find a solution to this. Dither? */ + cl.sss_albedo = (cl1.sss_data.a > 0.0) ? cl1.sss_albedo : cl2.sss_albedo; # endif # endif - cl.opacity = saturate(cl1.opacity + cl2.opacity); - return cl; + cl.opacity = saturate(cl1.opacity + cl2.opacity); + return cl; } Closure closure_emission(vec3 rgb) { - Closure cl = CLOSURE_DEFAULT; - cl.radiance = rgb; - return cl; + Closure cl = CLOSURE_DEFAULT; + cl.radiance = rgb; + return cl; } -# if defined(MESH_SHADER) && !defined(USE_ALPHA_HASH) && !defined(USE_ALPHA_CLIP) && !defined(SHADOW_SHADER) && !defined(USE_MULTIPLY) +# if defined(MESH_SHADER) && !defined(USE_ALPHA_HASH) && !defined(USE_ALPHA_CLIP) && \ + !defined(SHADOW_SHADER) && !defined(USE_MULTIPLY) layout(location = 0) out vec4 fragColor; layout(location = 1) out vec4 ssrNormals; layout(location = 2) out vec4 ssrData; @@ -813,7 +880,7 @@ layout(location = 3) out vec4 sssData; # ifdef USE_SSS_ALBEDO layout(location = 4) out vec4 sssAlbedo; # endif /* USE_SSS_ALBEDO */ -# endif /* USE_SSS */ +# endif /* USE_SSS */ Closure nodetree_exec(void); /* Prototype */ @@ -822,39 +889,39 @@ Closure nodetree_exec(void); /* Prototype */ vec4 volumetric_resolve(vec4 scene_color, vec2 frag_uvs, float frag_depth); # endif -#define NODETREE_EXEC +# define NODETREE_EXEC void main() { - Closure cl = nodetree_exec(); + Closure cl = nodetree_exec(); # ifndef USE_ALPHA_BLEND - /* Prevent alpha hash material writing into alpha channel. */ - cl.opacity = 1.0; + /* Prevent alpha hash material writing into alpha channel. */ + cl.opacity = 1.0; # endif # if defined(USE_ALPHA_BLEND_VOLUMETRICS) - /* XXX fragile, better use real viewport resolution */ - vec2 uvs = gl_FragCoord.xy / vec2(2 * textureSize(maxzBuffer, 0).xy); - fragColor.rgb = volumetric_resolve(vec4(cl.radiance, cl.opacity), uvs, gl_FragCoord.z).rgb; - fragColor.a = cl.opacity; + /* XXX fragile, better use real viewport resolution */ + vec2 uvs = gl_FragCoord.xy / vec2(2 * textureSize(maxzBuffer, 0).xy); + fragColor.rgb = volumetric_resolve(vec4(cl.radiance, cl.opacity), uvs, gl_FragCoord.z).rgb; + fragColor.a = cl.opacity; # else - fragColor = vec4(cl.radiance, cl.opacity); + fragColor = vec4(cl.radiance, cl.opacity); # endif - ssrNormals = cl.ssr_normal.xyyy; - ssrData = cl.ssr_data; + ssrNormals = cl.ssr_normal.xyyy; + ssrData = cl.ssr_data; # ifdef USE_SSS - sssData = cl.sss_data; + sssData = cl.sss_data; # ifdef USE_SSS_ALBEDO - sssAlbedo = cl.sss_albedo.rgbb; + sssAlbedo = cl.sss_albedo.rgbb; # endif # endif - /* For Probe capture */ + /* For Probe capture */ # ifdef USE_SSS # ifdef USE_SSS_ALBEDO - fragColor.rgb += cl.sss_data.rgb * cl.sss_albedo.rgb * float(!sssToggle); + fragColor.rgb += cl.sss_data.rgb * cl.sss_albedo.rgb * float(!sssToggle); # else - fragColor.rgb += cl.sss_data.rgb * float(!sssToggle); + fragColor.rgb += cl.sss_data.rgb * float(!sssToggle); # endif # endif } @@ -870,10 +937,10 @@ Closure nodetree_exec(void); /* Prototype */ out vec4 fragColor; -#define NODETREE_EXEC +# define NODETREE_EXEC void main() { - Closure cl = nodetree_exec(); - fragColor = vec4(mix(vec3(1.0), cl.radiance, cl.opacity), 1.0); + Closure cl = nodetree_exec(); + fragColor = vec4(mix(vec3(1.0), cl.radiance, cl.opacity), 1.0); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/bsdf_lut_frag.glsl b/source/blender/draw/engines/eevee/shaders/bsdf_lut_frag.glsl index 7fb4ee51a96..f05b3396428 100644 --- a/source/blender/draw/engines/eevee/shaders/bsdf_lut_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/bsdf_lut_frag.glsl @@ -1,46 +1,47 @@ out vec4 FragColor; -void main() { - vec3 N, T, B, V; - - float NV = ( 1.0 - (clamp(gl_FragCoord.y / BRDF_LUT_SIZE, 1e-4, 0.9999))); - float sqrtRoughness = clamp(gl_FragCoord.x / BRDF_LUT_SIZE, 1e-4, 0.9999); - float a = sqrtRoughness * sqrtRoughness; - float a2 = a * a; - - N = vec3(0.0, 0.0, 1.0); - T = vec3(1.0, 0.0, 0.0); - B = vec3(0.0, 1.0, 0.0); - V = vec3(sqrt(1.0 - NV * NV), 0.0, NV); - - setup_noise(); - - /* Integrating BRDF */ - float brdf_accum = 0.0; - float fresnel_accum = 0.0; - for (float i = 0; i < sampleCount; i++) { - vec3 H = sample_ggx(i, a2, N, T, B); /* Microfacet normal */ - vec3 L = -reflect(V, H); - float NL = L.z; - - if (NL > 0.0) { - float NH = max(H.z, 0.0); - float VH = max(dot(V, H), 0.0); - - float G1_v = G1_Smith_GGX(NV, a2); - float G1_l = G1_Smith_GGX(NL, a2); - float G_smith = 4.0 * NV * NL / (G1_v * G1_l); /* See G1_Smith_GGX for explanations. */ - - float brdf = (G_smith * VH) / (NH * NV); - float Fc = pow(1.0 - VH, 5.0); - - brdf_accum += (1.0 - Fc) * brdf; - fresnel_accum += Fc * brdf; - } - } - brdf_accum /= sampleCount; - fresnel_accum /= sampleCount; - - FragColor = vec4(brdf_accum, fresnel_accum, 0.0, 1.0); +void main() +{ + vec3 N, T, B, V; + + float NV = (1.0 - (clamp(gl_FragCoord.y / BRDF_LUT_SIZE, 1e-4, 0.9999))); + float sqrtRoughness = clamp(gl_FragCoord.x / BRDF_LUT_SIZE, 1e-4, 0.9999); + float a = sqrtRoughness * sqrtRoughness; + float a2 = a * a; + + N = vec3(0.0, 0.0, 1.0); + T = vec3(1.0, 0.0, 0.0); + B = vec3(0.0, 1.0, 0.0); + V = vec3(sqrt(1.0 - NV * NV), 0.0, NV); + + setup_noise(); + + /* Integrating BRDF */ + float brdf_accum = 0.0; + float fresnel_accum = 0.0; + for (float i = 0; i < sampleCount; i++) { + vec3 H = sample_ggx(i, a2, N, T, B); /* Microfacet normal */ + vec3 L = -reflect(V, H); + float NL = L.z; + + if (NL > 0.0) { + float NH = max(H.z, 0.0); + float VH = max(dot(V, H), 0.0); + + float G1_v = G1_Smith_GGX(NV, a2); + float G1_l = G1_Smith_GGX(NL, a2); + float G_smith = 4.0 * NV * NL / (G1_v * G1_l); /* See G1_Smith_GGX for explanations. */ + + float brdf = (G_smith * VH) / (NH * NV); + float Fc = pow(1.0 - VH, 5.0); + + brdf_accum += (1.0 - Fc) * brdf; + fresnel_accum += Fc * brdf; + } + } + brdf_accum /= sampleCount; + fresnel_accum /= sampleCount; + + FragColor = vec4(brdf_accum, fresnel_accum, 0.0, 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/bsdf_sampling_lib.glsl b/source/blender/draw/engines/eevee/shaders/bsdf_sampling_lib.glsl index cce9d59dc12..5f2b719095e 100644 --- a/source/blender/draw/engines/eevee/shaders/bsdf_sampling_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/bsdf_sampling_lib.glsl @@ -7,34 +7,34 @@ uniform float invSampleCount; vec2 jitternoise = vec2(0.0); #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ void setup_noise(void) { - jitternoise = texelfetch_noise_tex(gl_FragCoord.xy).rg; /* Global variable */ + jitternoise = texelfetch_noise_tex(gl_FragCoord.xy).rg; /* Global variable */ } #ifdef HAMMERSLEY_SIZE vec3 hammersley_3d(float i, float invsamplenbr) { - vec3 Xi; /* Theta, cos(Phi), sin(Phi) */ + vec3 Xi; /* Theta, cos(Phi), sin(Phi) */ - Xi.x = i * invsamplenbr; /* i/samples */ - Xi.x = fract(Xi.x + jitternoise.x); + Xi.x = i * invsamplenbr; /* i/samples */ + Xi.x = fract(Xi.x + jitternoise.x); - int u = int(mod(i + jitternoise.y * HAMMERSLEY_SIZE, HAMMERSLEY_SIZE)); + int u = int(mod(i + jitternoise.y * HAMMERSLEY_SIZE, HAMMERSLEY_SIZE)); - Xi.yz = texelFetch(texHammersley, u, 0).rg; + Xi.yz = texelFetch(texHammersley, u, 0).rg; - return Xi; + return Xi; } vec3 hammersley_3d(float i) { - return hammersley_3d(i, invSampleCount); + return hammersley_3d(i, invSampleCount); } #endif @@ -42,66 +42,66 @@ vec3 hammersley_3d(float i) float pdf_ggx_reflect(float NH, float a2) { - return NH * a2 / D_ggx_opti(NH, a2); + return NH * a2 / D_ggx_opti(NH, a2); } float pdf_hemisphere() { - return 0.5 * M_1_PI; + return 0.5 * M_1_PI; } vec3 sample_ggx(vec3 rand, float a2) { - /* Theta is the aperture angle of the cone */ - float z = sqrt( (1.0 - rand.x) / ( 1.0 + a2 * rand.x - rand.x ) ); /* cos theta */ - float r = sqrt(max(0.0, 1.0f - z*z)); /* sin theta */ - float x = r * rand.y; - float y = r * rand.z; - - /* Microfacet Normal */ - return vec3(x, y, z); + /* Theta is the aperture angle of the cone */ + float z = sqrt((1.0 - rand.x) / (1.0 + a2 * rand.x - rand.x)); /* cos theta */ + float r = sqrt(max(0.0, 1.0f - z * z)); /* sin theta */ + float x = r * rand.y; + float y = r * rand.z; + + /* Microfacet Normal */ + return vec3(x, y, z); } vec3 sample_ggx(vec3 rand, float a2, vec3 N, vec3 T, vec3 B, out float NH) { - vec3 Ht = sample_ggx(rand, a2); - NH = Ht.z; - return tangent_to_world(Ht, N, T, B); + vec3 Ht = sample_ggx(rand, a2); + NH = Ht.z; + return tangent_to_world(Ht, N, T, B); } #ifdef HAMMERSLEY_SIZE vec3 sample_ggx(float nsample, float a2, vec3 N, vec3 T, vec3 B) { - vec3 Xi = hammersley_3d(nsample); - vec3 Ht = sample_ggx(Xi, a2); - return tangent_to_world(Ht, N, T, B); + vec3 Xi = hammersley_3d(nsample); + vec3 Ht = sample_ggx(Xi, a2); + return tangent_to_world(Ht, N, T, B); } vec3 sample_hemisphere(float nsample, vec3 N, vec3 T, vec3 B) { - vec3 Xi = hammersley_3d(nsample); + vec3 Xi = hammersley_3d(nsample); - float z = Xi.x; /* cos theta */ - float r = sqrt(max(0.0, 1.0f - z*z)); /* sin theta */ - float x = r * Xi.y; - float y = r * Xi.z; + float z = Xi.x; /* cos theta */ + float r = sqrt(max(0.0, 1.0f - z * z)); /* sin theta */ + float x = r * Xi.y; + float y = r * Xi.z; - vec3 Ht = vec3(x, y, z); + vec3 Ht = vec3(x, y, z); - return tangent_to_world(Ht, N, T, B); + return tangent_to_world(Ht, N, T, B); } vec3 sample_cone(float nsample, float angle, vec3 N, vec3 T, vec3 B) { - vec3 Xi = hammersley_3d(nsample); + vec3 Xi = hammersley_3d(nsample); - float z = cos(angle * Xi.x); /* cos theta */ - float r = sqrt(max(0.0, 1.0f - z*z)); /* sin theta */ - float x = r * Xi.y; - float y = r * Xi.z; + float z = cos(angle * Xi.x); /* cos theta */ + float r = sqrt(max(0.0, 1.0f - z * z)); /* sin theta */ + float x = r * Xi.y; + float y = r * Xi.z; - vec3 Ht = vec3(x, y, z); + vec3 Ht = vec3(x, y, z); - return tangent_to_world(Ht, N, T, B); + return tangent_to_world(Ht, N, T, B); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/btdf_lut_frag.glsl b/source/blender/draw/engines/eevee/shaders/btdf_lut_frag.glsl index 5f0af6a6f5b..1389a9763c0 100644 --- a/source/blender/draw/engines/eevee/shaders/btdf_lut_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/btdf_lut_frag.glsl @@ -3,57 +3,59 @@ uniform float a2; out vec4 FragColor; -void main() { - vec3 N, T, B, V; +void main() +{ + vec3 N, T, B, V; - float x = gl_FragCoord.x / BRDF_LUT_SIZE; - float y = gl_FragCoord.y / BRDF_LUT_SIZE; - /* There is little variation if ior > 1.0 so we - * maximize LUT precision for ior < 1.0 */ - x = x * 1.1; - float ior = (x > 1.0) ? ior_from_f0((x-1.0) * 10.0) : sqrt(x); - float NV = (1.0 - (clamp(y, 1e-4, 0.9999))); + float x = gl_FragCoord.x / BRDF_LUT_SIZE; + float y = gl_FragCoord.y / BRDF_LUT_SIZE; + /* There is little variation if ior > 1.0 so we + * maximize LUT precision for ior < 1.0 */ + x = x * 1.1; + float ior = (x > 1.0) ? ior_from_f0((x - 1.0) * 10.0) : sqrt(x); + float NV = (1.0 - (clamp(y, 1e-4, 0.9999))); - N = vec3(0.0, 0.0, 1.0); - T = vec3(1.0, 0.0, 0.0); - B = vec3(0.0, 1.0, 0.0); - V = vec3(sqrt(1.0 - NV * NV), 0.0, NV); + N = vec3(0.0, 0.0, 1.0); + T = vec3(1.0, 0.0, 0.0); + B = vec3(0.0, 1.0, 0.0); + V = vec3(sqrt(1.0 - NV * NV), 0.0, NV); - setup_noise(); + setup_noise(); - /* Integrating BTDF */ - float btdf_accum = 0.0; - for (float i = 0.0; i < sampleCount; i++) { - vec3 H = sample_ggx(i, a2, N, T, B); /* Microfacet normal */ + /* Integrating BTDF */ + float btdf_accum = 0.0; + for (float i = 0.0; i < sampleCount; i++) { + vec3 H = sample_ggx(i, a2, N, T, B); /* Microfacet normal */ - float VH = dot(V, H); + float VH = dot(V, H); - /* Check if there is total internal reflections. */ - float c = abs(VH); - float g = ior * ior - 1.0 + c * c; + /* Check if there is total internal reflections. */ + float c = abs(VH); + float g = ior * ior - 1.0 + c * c; - float eta = 1.0/ior; - if (dot(H, V) < 0.0) { - H = -H; - eta = ior; - } + float eta = 1.0 / ior; + if (dot(H, V) < 0.0) { + H = -H; + eta = ior; + } - vec3 L = refract(-V, H, eta); - float NL = -dot(N, L); + vec3 L = refract(-V, H, eta); + float NL = -dot(N, L); - if ((NL > 0.0) && (g > 0.0)) { - float LH = dot(L, H); + if ((NL > 0.0) && (g > 0.0)) { + float LH = dot(L, H); - float G1_l = NL * 2.0 / G1_Smith_GGX(NL, a2); /* Balancing the adjustments made in G1_Smith */ + float G1_l = NL * 2.0 / + G1_Smith_GGX(NL, a2); /* Balancing the adjustments made in G1_Smith */ - /* btdf = abs(VH*LH) * (ior*ior) * D * G(V) * G(L) / (Ht2 * NV) - * pdf = (VH * abs(LH)) * (ior*ior) * D * G(V) / (Ht2 * NV) */ - float btdf = G1_l * abs(VH*LH) / (VH * abs(LH)); + /* btdf = abs(VH*LH) * (ior*ior) * D * G(V) * G(L) / (Ht2 * NV) + * pdf = (VH * abs(LH)) * (ior*ior) * D * G(V) / (Ht2 * NV) */ + float btdf = G1_l * abs(VH * LH) / (VH * abs(LH)); - btdf_accum += btdf; - } - } - btdf_accum /= sampleCount; + btdf_accum += btdf; + } + } + btdf_accum /= sampleCount; - FragColor = vec4(btdf_accum, 0.0, 0.0, 1.0); + FragColor = vec4(btdf_accum, 0.0, 0.0, 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/common_uniforms_lib.glsl b/source/blender/draw/engines/eevee/shaders/common_uniforms_lib.glsl index b8dff694aca..da0778b8a10 100644 --- a/source/blender/draw/engines/eevee/shaders/common_uniforms_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/common_uniforms_lib.glsl @@ -1,66 +1,67 @@ -layout(std140) uniform common_block { - mat4 pastViewProjectionMatrix; - vec4 viewVecs[2]; - vec2 mipRatio[10]; /* To correct mip level texel mis-alignement */ - /* Ambient Occlusion */ - vec4 aoParameters[2]; - /* Volumetric */ - ivec4 volTexSize; - vec4 volDepthParameters; /* Parameters to the volume Z equation */ - vec4 volInvTexSize; - vec4 volJitter; - vec4 volCoordScale; /* To convert volume uvs to screen uvs */ - float volHistoryAlpha; - float volLightClamp; - float volShadowSteps; - bool volUseLights; - /* Screen Space Reflections */ - vec4 ssrParameters; - float ssrBorderFac; - float ssrMaxRoughness; - float ssrFireflyFac; - float ssrBrdfBias; - bool ssrToggle; - /* SubSurface Scattering */ - float sssJitterThreshold; - bool sssToggle; - /* Specular */ - bool specToggle; - /* Lights */ - int laNumLight; - /* Probes */ - int prbNumPlanar; - int prbNumRenderCube; - int prbNumRenderGrid; - int prbIrradianceVisSize; - float prbIrradianceSmooth; - float prbLodCubeMax; - float prbLodPlanarMax; - /* Misc*/ - int hizMipOffset; - int rayType; - float rayDepth; +layout(std140) uniform common_block +{ + mat4 pastViewProjectionMatrix; + vec4 viewVecs[2]; + vec2 mipRatio[10]; /* To correct mip level texel mis-alignement */ + /* Ambient Occlusion */ + vec4 aoParameters[2]; + /* Volumetric */ + ivec4 volTexSize; + vec4 volDepthParameters; /* Parameters to the volume Z equation */ + vec4 volInvTexSize; + vec4 volJitter; + vec4 volCoordScale; /* To convert volume uvs to screen uvs */ + float volHistoryAlpha; + float volLightClamp; + float volShadowSteps; + bool volUseLights; + /* Screen Space Reflections */ + vec4 ssrParameters; + float ssrBorderFac; + float ssrMaxRoughness; + float ssrFireflyFac; + float ssrBrdfBias; + bool ssrToggle; + /* SubSurface Scattering */ + float sssJitterThreshold; + bool sssToggle; + /* Specular */ + bool specToggle; + /* Lights */ + int laNumLight; + /* Probes */ + int prbNumPlanar; + int prbNumRenderCube; + int prbNumRenderGrid; + int prbIrradianceVisSize; + float prbIrradianceSmooth; + float prbLodCubeMax; + float prbLodPlanarMax; + /* Misc*/ + int hizMipOffset; + int rayType; + float rayDepth; }; /* rayType (keep in sync with ray_type) */ -#define EEVEE_RAY_CAMERA 0 -#define EEVEE_RAY_SHADOW 1 -#define EEVEE_RAY_DIFFUSE 2 -#define EEVEE_RAY_GLOSSY 3 +#define EEVEE_RAY_CAMERA 0 +#define EEVEE_RAY_SHADOW 1 +#define EEVEE_RAY_DIFFUSE 2 +#define EEVEE_RAY_GLOSSY 3 /* aoParameters */ -#define aoDistance aoParameters[0].x -#define aoSamples aoParameters[0].y /* UNUSED */ -#define aoFactor aoParameters[0].z +#define aoDistance aoParameters[0].x +#define aoSamples aoParameters[0].y /* UNUSED */ +#define aoFactor aoParameters[0].z #define aoInvSamples aoParameters[0].w /* UNUSED */ -#define aoOffset aoParameters[1].x /* UNUSED */ -#define aoBounceFac aoParameters[1].y -#define aoQuality aoParameters[1].z -#define aoSettings aoParameters[1].w +#define aoOffset aoParameters[1].x /* UNUSED */ +#define aoBounceFac aoParameters[1].y +#define aoQuality aoParameters[1].z +#define aoSettings aoParameters[1].w /* ssrParameters */ -#define ssrQuality ssrParameters.x -#define ssrThickness ssrParameters.y -#define ssrPixelSize ssrParameters.zw +#define ssrQuality ssrParameters.x +#define ssrThickness ssrParameters.y +#define ssrPixelSize ssrParameters.zw diff --git a/source/blender/draw/engines/eevee/shaders/concentric_samples_lib.glsl b/source/blender/draw/engines/eevee/shaders/concentric_samples_lib.glsl index 7de27a9fda9..7e0e5945c54 100644 --- a/source/blender/draw/engines/eevee/shaders/concentric_samples_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/concentric_samples_lib.glsl @@ -6,262 +6,260 @@ * sample while still having a circular kernel. */ #define CONCENTRIC_SAMPLE_NUM 256 -const vec2 concentric[CONCENTRIC_SAMPLE_NUM] = -vec2[CONCENTRIC_SAMPLE_NUM]( - vec2(0.0441941738242, 0.0441941738242), - vec2(-0.0441941738242, -0.0441941738242), - vec2(-0.0441941738242, 0.0441941738242), - vec2(0.0441941738242, -0.0441941738242), - vec2(0.181111092429, 0.0485285709567), - vec2(0.132582521472, 0.132582521472), - vec2(-0.181111092429, 0.0485285709567), - vec2(0.0485285709567, 0.181111092429), - vec2(-0.181111092429, -0.0485285709567), - vec2(-0.0485285709567, 0.181111092429), - vec2(-0.132582521472, -0.132582521472), - vec2(-0.132582521472, 0.132582521472), - vec2(-0.0485285709567, -0.181111092429), - vec2(0.0485285709567, -0.181111092429), - vec2(0.132582521472, -0.132582521472), - vec2(0.181111092429, -0.0485285709567), - vec2(0.308652606436, 0.0488857703251), - vec2(0.278439538809, 0.141872031169), - vec2(0.220970869121, 0.220970869121), - vec2(-0.278439538809, 0.141872031169), - vec2(0.141872031169, 0.278439538809), - vec2(-0.308652606436, 0.0488857703251), - vec2(0.0488857703251, 0.308652606436), - vec2(-0.308652606436, -0.0488857703251), - vec2(-0.0488857703251, 0.308652606436), - vec2(-0.278439538809, -0.141872031169), - vec2(-0.141872031169, 0.278439538809), - vec2(-0.220970869121, -0.220970869121), - vec2(-0.220970869121, 0.220970869121), - vec2(-0.141872031169, -0.278439538809), - vec2(-0.0488857703251, -0.308652606436), - vec2(0.0488857703251, -0.308652606436), - vec2(0.141872031169, -0.278439538809), - vec2(0.220970869121, -0.220970869121), - vec2(0.278439538809, -0.141872031169), - vec2(0.308652606436, -0.0488857703251), - vec2(0.434749091828, 0.0489844582952), - vec2(0.41294895701, 0.144497089605), - vec2(0.370441837162, 0.232764033475), - vec2(0.309359216769, 0.309359216769), - vec2(-0.370441837162, 0.232764033475), - vec2(0.232764033475, 0.370441837162), - vec2(-0.41294895701, 0.144497089605), - vec2(0.144497089605, 0.41294895701), - vec2(-0.434749091828, 0.0489844582952), - vec2(0.0489844582952, 0.434749091828), - vec2(-0.434749091828, -0.0489844582952), - vec2(-0.0489844582952, 0.434749091828), - vec2(-0.41294895701, -0.144497089605), - vec2(-0.144497089605, 0.41294895701), - vec2(-0.370441837162, -0.232764033475), - vec2(-0.232764033475, 0.370441837162), - vec2(-0.309359216769, -0.309359216769), - vec2(-0.309359216769, 0.309359216769), - vec2(-0.232764033475, -0.370441837162), - vec2(-0.144497089605, -0.41294895701), - vec2(-0.0489844582952, -0.434749091828), - vec2(0.0489844582952, -0.434749091828), - vec2(0.144497089605, -0.41294895701), - vec2(0.232764033475, -0.370441837162), - vec2(0.309359216769, -0.309359216769), - vec2(0.370441837162, -0.232764033475), - vec2(0.41294895701, -0.144497089605), - vec2(0.434749091828, -0.0489844582952), - vec2(0.560359517677, 0.0490251052956), - vec2(0.543333277288, 0.14558571287), - vec2(0.509798130208, 0.237722772229), - vec2(0.460773024913, 0.322636745447), - vec2(0.397747564417, 0.397747564417), - vec2(-0.460773024913, 0.322636745447), - vec2(0.322636745447, 0.460773024913), - vec2(-0.509798130208, 0.237722772229), - vec2(0.237722772229, 0.509798130208), - vec2(-0.543333277288, 0.14558571287), - vec2(0.14558571287, 0.543333277288), - vec2(-0.560359517677, 0.0490251052956), - vec2(0.0490251052956, 0.560359517677), - vec2(-0.560359517677, -0.0490251052956), - vec2(-0.0490251052956, 0.560359517677), - vec2(-0.543333277288, -0.14558571287), - vec2(-0.14558571287, 0.543333277288), - vec2(-0.509798130208, -0.237722772229), - vec2(-0.237722772229, 0.509798130208), - vec2(-0.460773024913, -0.322636745447), - vec2(-0.322636745447, 0.460773024913), - vec2(-0.397747564417, -0.397747564417), - vec2(-0.397747564417, 0.397747564417), - vec2(-0.322636745447, -0.460773024913), - vec2(-0.237722772229, -0.509798130208), - vec2(-0.14558571287, -0.543333277288), - vec2(-0.0490251052956, -0.560359517677), - vec2(0.0490251052956, -0.560359517677), - vec2(0.14558571287, -0.543333277288), - vec2(0.237722772229, -0.509798130208), - vec2(0.322636745447, -0.460773024913), - vec2(0.397747564417, -0.397747564417), - vec2(0.460773024913, -0.322636745447), - vec2(0.509798130208, -0.237722772229), - vec2(0.543333277288, -0.14558571287), - vec2(0.560359517677, -0.0490251052956), - vec2(0.685748328795, 0.0490456884495), - vec2(0.671788470355, 0.146138636568), - vec2(0.644152935937, 0.240256623474), - vec2(0.603404305327, 0.32948367837), - vec2(0.550372103135, 0.412003395727), - vec2(0.486135912066, 0.486135912066), - vec2(-0.550372103135, 0.412003395727), - vec2(0.412003395727, 0.550372103135), - vec2(-0.603404305327, 0.32948367837), - vec2(0.32948367837, 0.603404305327), - vec2(-0.644152935937, 0.240256623474), - vec2(0.240256623474, 0.644152935937), - vec2(-0.671788470355, 0.146138636568), - vec2(0.146138636568, 0.671788470355), - vec2(-0.685748328795, 0.0490456884495), - vec2(0.0490456884495, 0.685748328795), - vec2(-0.685748328795, -0.0490456884495), - vec2(-0.0490456884495, 0.685748328795), - vec2(-0.671788470355, -0.146138636568), - vec2(-0.146138636568, 0.671788470355), - vec2(-0.644152935937, -0.240256623474), - vec2(-0.240256623474, 0.644152935937), - vec2(-0.603404305327, -0.32948367837), - vec2(-0.32948367837, 0.603404305327), - vec2(-0.550372103135, -0.412003395727), - vec2(-0.412003395727, 0.550372103135), - vec2(-0.486135912066, -0.486135912066), - vec2(-0.486135912066, 0.486135912066), - vec2(-0.412003395727, -0.550372103135), - vec2(-0.32948367837, -0.603404305327), - vec2(-0.240256623474, -0.644152935937), - vec2(-0.146138636568, -0.671788470355), - vec2(-0.0490456884495, -0.685748328795), - vec2(0.0490456884495, -0.685748328795), - vec2(0.146138636568, -0.671788470355), - vec2(0.240256623474, -0.644152935937), - vec2(0.32948367837, -0.603404305327), - vec2(0.412003395727, -0.550372103135), - vec2(0.486135912066, -0.486135912066), - vec2(0.550372103135, -0.412003395727), - vec2(0.603404305327, -0.32948367837), - vec2(0.644152935937, -0.240256623474), - vec2(0.671788470355, -0.146138636568), - vec2(0.685748328795, -0.0490456884495), - vec2(0.811017637806, 0.0490575291556), - vec2(0.799191174395, 0.146457218224), - vec2(0.775710704038, 0.241721231257), - vec2(0.740918624869, 0.33346040443), - vec2(0.695322283745, 0.420336974019), - vec2(0.639586577995, 0.501084084011), - vec2(0.574524259714, 0.574524259714), - vec2(-0.639586577995, 0.501084084011), - vec2(0.501084084011, 0.639586577995), - vec2(-0.695322283745, 0.420336974019), - vec2(0.420336974019, 0.695322283745), - vec2(-0.740918624869, 0.33346040443), - vec2(0.33346040443, 0.740918624869), - vec2(-0.775710704038, 0.241721231257), - vec2(0.241721231257, 0.775710704038), - vec2(-0.799191174395, 0.146457218224), - vec2(0.146457218224, 0.799191174395), - vec2(-0.811017637806, 0.0490575291556), - vec2(0.0490575291556, 0.811017637806), - vec2(-0.811017637806, -0.0490575291556), - vec2(-0.0490575291556, 0.811017637806), - vec2(-0.799191174395, -0.146457218224), - vec2(-0.146457218224, 0.799191174395), - vec2(-0.775710704038, -0.241721231257), - vec2(-0.241721231257, 0.775710704038), - vec2(-0.740918624869, -0.33346040443), - vec2(-0.33346040443, 0.740918624869), - vec2(-0.695322283745, -0.420336974019), - vec2(-0.420336974019, 0.695322283745), - vec2(-0.639586577995, -0.501084084011), - vec2(-0.501084084011, 0.639586577995), - vec2(-0.574524259714, -0.574524259714), - vec2(-0.574524259714, 0.574524259714), - vec2(-0.501084084011, -0.639586577995), - vec2(-0.420336974019, -0.695322283745), - vec2(-0.33346040443, -0.740918624869), - vec2(-0.241721231257, -0.775710704038), - vec2(-0.146457218224, -0.799191174395), - vec2(-0.0490575291556, -0.811017637806), - vec2(0.0490575291556, -0.811017637806), - vec2(0.146457218224, -0.799191174395), - vec2(0.241721231257, -0.775710704038), - vec2(0.33346040443, -0.740918624869), - vec2(0.420336974019, -0.695322283745), - vec2(0.501084084011, -0.639586577995), - vec2(0.574524259714, -0.574524259714), - vec2(0.639586577995, -0.501084084011), - vec2(0.695322283745, -0.420336974019), - vec2(0.740918624869, -0.33346040443), - vec2(0.775710704038, -0.241721231257), - vec2(0.799191174395, -0.146457218224), - vec2(0.811017637806, -0.0490575291556), - vec2(0.936215188832, 0.0490649589778), - vec2(0.925957819308, 0.146657310975), - vec2(0.905555462146, 0.242642854784), - vec2(0.875231649841, 0.335969952699), - vec2(0.835318616427, 0.425616093506), - vec2(0.786253657449, 0.510599095327), - vec2(0.728574338866, 0.589987866609), - vec2(0.662912607362, 0.662912607362), - vec2(-0.728574338866, 0.589987866609), - vec2(0.589987866609, 0.728574338866), - vec2(-0.786253657449, 0.510599095327), - vec2(0.510599095327, 0.786253657449), - vec2(-0.835318616427, 0.425616093506), - vec2(0.425616093506, 0.835318616427), - vec2(-0.875231649841, 0.335969952699), - vec2(0.335969952699, 0.875231649841), - vec2(-0.905555462146, 0.242642854784), - vec2(0.242642854784, 0.905555462146), - vec2(-0.925957819308, 0.146657310975), - vec2(0.146657310975, 0.925957819308), - vec2(-0.936215188832, 0.0490649589778), - vec2(0.0490649589778, 0.936215188832), - vec2(-0.936215188832, -0.0490649589778), - vec2(-0.0490649589778, 0.936215188832), - vec2(-0.925957819308, -0.146657310975), - vec2(-0.146657310975, 0.925957819308), - vec2(-0.905555462146, -0.242642854784), - vec2(-0.242642854784, 0.905555462146), - vec2(-0.875231649841, -0.335969952699), - vec2(-0.335969952699, 0.875231649841), - vec2(-0.835318616427, -0.425616093506), - vec2(-0.425616093506, 0.835318616427), - vec2(-0.786253657449, -0.510599095327), - vec2(-0.510599095327, 0.786253657449), - vec2(-0.728574338866, -0.589987866609), - vec2(-0.589987866609, 0.728574338866), - vec2(-0.662912607362, -0.662912607362), - vec2(-0.662912607362, 0.662912607362), - vec2(-0.589987866609, -0.728574338866), - vec2(-0.510599095327, -0.786253657449), - vec2(-0.425616093506, -0.835318616427), - vec2(-0.335969952699, -0.875231649841), - vec2(-0.242642854784, -0.905555462146), - vec2(-0.146657310975, -0.925957819308), - vec2(-0.0490649589778, -0.936215188832), - vec2(0.0490649589778, -0.936215188832), - vec2(0.146657310975, -0.925957819308), - vec2(0.242642854784, -0.905555462146), - vec2(0.335969952699, -0.875231649841), - vec2(0.425616093506, -0.835318616427), - vec2(0.510599095327, -0.786253657449), - vec2(0.589987866609, -0.728574338866), - vec2(0.662912607362, -0.662912607362), - vec2(0.728574338866, -0.589987866609), - vec2(0.786253657449, -0.510599095327), - vec2(0.835318616427, -0.425616093506), - vec2(0.875231649841, -0.335969952699), - vec2(0.905555462146, -0.242642854784), - vec2(0.925957819308, -0.146657310975), - vec2(0.936215188832, -0.0490649589778) -); +const vec2 concentric[CONCENTRIC_SAMPLE_NUM] = vec2[CONCENTRIC_SAMPLE_NUM]( + vec2(0.0441941738242, 0.0441941738242), + vec2(-0.0441941738242, -0.0441941738242), + vec2(-0.0441941738242, 0.0441941738242), + vec2(0.0441941738242, -0.0441941738242), + vec2(0.181111092429, 0.0485285709567), + vec2(0.132582521472, 0.132582521472), + vec2(-0.181111092429, 0.0485285709567), + vec2(0.0485285709567, 0.181111092429), + vec2(-0.181111092429, -0.0485285709567), + vec2(-0.0485285709567, 0.181111092429), + vec2(-0.132582521472, -0.132582521472), + vec2(-0.132582521472, 0.132582521472), + vec2(-0.0485285709567, -0.181111092429), + vec2(0.0485285709567, -0.181111092429), + vec2(0.132582521472, -0.132582521472), + vec2(0.181111092429, -0.0485285709567), + vec2(0.308652606436, 0.0488857703251), + vec2(0.278439538809, 0.141872031169), + vec2(0.220970869121, 0.220970869121), + vec2(-0.278439538809, 0.141872031169), + vec2(0.141872031169, 0.278439538809), + vec2(-0.308652606436, 0.0488857703251), + vec2(0.0488857703251, 0.308652606436), + vec2(-0.308652606436, -0.0488857703251), + vec2(-0.0488857703251, 0.308652606436), + vec2(-0.278439538809, -0.141872031169), + vec2(-0.141872031169, 0.278439538809), + vec2(-0.220970869121, -0.220970869121), + vec2(-0.220970869121, 0.220970869121), + vec2(-0.141872031169, -0.278439538809), + vec2(-0.0488857703251, -0.308652606436), + vec2(0.0488857703251, -0.308652606436), + vec2(0.141872031169, -0.278439538809), + vec2(0.220970869121, -0.220970869121), + vec2(0.278439538809, -0.141872031169), + vec2(0.308652606436, -0.0488857703251), + vec2(0.434749091828, 0.0489844582952), + vec2(0.41294895701, 0.144497089605), + vec2(0.370441837162, 0.232764033475), + vec2(0.309359216769, 0.309359216769), + vec2(-0.370441837162, 0.232764033475), + vec2(0.232764033475, 0.370441837162), + vec2(-0.41294895701, 0.144497089605), + vec2(0.144497089605, 0.41294895701), + vec2(-0.434749091828, 0.0489844582952), + vec2(0.0489844582952, 0.434749091828), + vec2(-0.434749091828, -0.0489844582952), + vec2(-0.0489844582952, 0.434749091828), + vec2(-0.41294895701, -0.144497089605), + vec2(-0.144497089605, 0.41294895701), + vec2(-0.370441837162, -0.232764033475), + vec2(-0.232764033475, 0.370441837162), + vec2(-0.309359216769, -0.309359216769), + vec2(-0.309359216769, 0.309359216769), + vec2(-0.232764033475, -0.370441837162), + vec2(-0.144497089605, -0.41294895701), + vec2(-0.0489844582952, -0.434749091828), + vec2(0.0489844582952, -0.434749091828), + vec2(0.144497089605, -0.41294895701), + vec2(0.232764033475, -0.370441837162), + vec2(0.309359216769, -0.309359216769), + vec2(0.370441837162, -0.232764033475), + vec2(0.41294895701, -0.144497089605), + vec2(0.434749091828, -0.0489844582952), + vec2(0.560359517677, 0.0490251052956), + vec2(0.543333277288, 0.14558571287), + vec2(0.509798130208, 0.237722772229), + vec2(0.460773024913, 0.322636745447), + vec2(0.397747564417, 0.397747564417), + vec2(-0.460773024913, 0.322636745447), + vec2(0.322636745447, 0.460773024913), + vec2(-0.509798130208, 0.237722772229), + vec2(0.237722772229, 0.509798130208), + vec2(-0.543333277288, 0.14558571287), + vec2(0.14558571287, 0.543333277288), + vec2(-0.560359517677, 0.0490251052956), + vec2(0.0490251052956, 0.560359517677), + vec2(-0.560359517677, -0.0490251052956), + vec2(-0.0490251052956, 0.560359517677), + vec2(-0.543333277288, -0.14558571287), + vec2(-0.14558571287, 0.543333277288), + vec2(-0.509798130208, -0.237722772229), + vec2(-0.237722772229, 0.509798130208), + vec2(-0.460773024913, -0.322636745447), + vec2(-0.322636745447, 0.460773024913), + vec2(-0.397747564417, -0.397747564417), + vec2(-0.397747564417, 0.397747564417), + vec2(-0.322636745447, -0.460773024913), + vec2(-0.237722772229, -0.509798130208), + vec2(-0.14558571287, -0.543333277288), + vec2(-0.0490251052956, -0.560359517677), + vec2(0.0490251052956, -0.560359517677), + vec2(0.14558571287, -0.543333277288), + vec2(0.237722772229, -0.509798130208), + vec2(0.322636745447, -0.460773024913), + vec2(0.397747564417, -0.397747564417), + vec2(0.460773024913, -0.322636745447), + vec2(0.509798130208, -0.237722772229), + vec2(0.543333277288, -0.14558571287), + vec2(0.560359517677, -0.0490251052956), + vec2(0.685748328795, 0.0490456884495), + vec2(0.671788470355, 0.146138636568), + vec2(0.644152935937, 0.240256623474), + vec2(0.603404305327, 0.32948367837), + vec2(0.550372103135, 0.412003395727), + vec2(0.486135912066, 0.486135912066), + vec2(-0.550372103135, 0.412003395727), + vec2(0.412003395727, 0.550372103135), + vec2(-0.603404305327, 0.32948367837), + vec2(0.32948367837, 0.603404305327), + vec2(-0.644152935937, 0.240256623474), + vec2(0.240256623474, 0.644152935937), + vec2(-0.671788470355, 0.146138636568), + vec2(0.146138636568, 0.671788470355), + vec2(-0.685748328795, 0.0490456884495), + vec2(0.0490456884495, 0.685748328795), + vec2(-0.685748328795, -0.0490456884495), + vec2(-0.0490456884495, 0.685748328795), + vec2(-0.671788470355, -0.146138636568), + vec2(-0.146138636568, 0.671788470355), + vec2(-0.644152935937, -0.240256623474), + vec2(-0.240256623474, 0.644152935937), + vec2(-0.603404305327, -0.32948367837), + vec2(-0.32948367837, 0.603404305327), + vec2(-0.550372103135, -0.412003395727), + vec2(-0.412003395727, 0.550372103135), + vec2(-0.486135912066, -0.486135912066), + vec2(-0.486135912066, 0.486135912066), + vec2(-0.412003395727, -0.550372103135), + vec2(-0.32948367837, -0.603404305327), + vec2(-0.240256623474, -0.644152935937), + vec2(-0.146138636568, -0.671788470355), + vec2(-0.0490456884495, -0.685748328795), + vec2(0.0490456884495, -0.685748328795), + vec2(0.146138636568, -0.671788470355), + vec2(0.240256623474, -0.644152935937), + vec2(0.32948367837, -0.603404305327), + vec2(0.412003395727, -0.550372103135), + vec2(0.486135912066, -0.486135912066), + vec2(0.550372103135, -0.412003395727), + vec2(0.603404305327, -0.32948367837), + vec2(0.644152935937, -0.240256623474), + vec2(0.671788470355, -0.146138636568), + vec2(0.685748328795, -0.0490456884495), + vec2(0.811017637806, 0.0490575291556), + vec2(0.799191174395, 0.146457218224), + vec2(0.775710704038, 0.241721231257), + vec2(0.740918624869, 0.33346040443), + vec2(0.695322283745, 0.420336974019), + vec2(0.639586577995, 0.501084084011), + vec2(0.574524259714, 0.574524259714), + vec2(-0.639586577995, 0.501084084011), + vec2(0.501084084011, 0.639586577995), + vec2(-0.695322283745, 0.420336974019), + vec2(0.420336974019, 0.695322283745), + vec2(-0.740918624869, 0.33346040443), + vec2(0.33346040443, 0.740918624869), + vec2(-0.775710704038, 0.241721231257), + vec2(0.241721231257, 0.775710704038), + vec2(-0.799191174395, 0.146457218224), + vec2(0.146457218224, 0.799191174395), + vec2(-0.811017637806, 0.0490575291556), + vec2(0.0490575291556, 0.811017637806), + vec2(-0.811017637806, -0.0490575291556), + vec2(-0.0490575291556, 0.811017637806), + vec2(-0.799191174395, -0.146457218224), + vec2(-0.146457218224, 0.799191174395), + vec2(-0.775710704038, -0.241721231257), + vec2(-0.241721231257, 0.775710704038), + vec2(-0.740918624869, -0.33346040443), + vec2(-0.33346040443, 0.740918624869), + vec2(-0.695322283745, -0.420336974019), + vec2(-0.420336974019, 0.695322283745), + vec2(-0.639586577995, -0.501084084011), + vec2(-0.501084084011, 0.639586577995), + vec2(-0.574524259714, -0.574524259714), + vec2(-0.574524259714, 0.574524259714), + vec2(-0.501084084011, -0.639586577995), + vec2(-0.420336974019, -0.695322283745), + vec2(-0.33346040443, -0.740918624869), + vec2(-0.241721231257, -0.775710704038), + vec2(-0.146457218224, -0.799191174395), + vec2(-0.0490575291556, -0.811017637806), + vec2(0.0490575291556, -0.811017637806), + vec2(0.146457218224, -0.799191174395), + vec2(0.241721231257, -0.775710704038), + vec2(0.33346040443, -0.740918624869), + vec2(0.420336974019, -0.695322283745), + vec2(0.501084084011, -0.639586577995), + vec2(0.574524259714, -0.574524259714), + vec2(0.639586577995, -0.501084084011), + vec2(0.695322283745, -0.420336974019), + vec2(0.740918624869, -0.33346040443), + vec2(0.775710704038, -0.241721231257), + vec2(0.799191174395, -0.146457218224), + vec2(0.811017637806, -0.0490575291556), + vec2(0.936215188832, 0.0490649589778), + vec2(0.925957819308, 0.146657310975), + vec2(0.905555462146, 0.242642854784), + vec2(0.875231649841, 0.335969952699), + vec2(0.835318616427, 0.425616093506), + vec2(0.786253657449, 0.510599095327), + vec2(0.728574338866, 0.589987866609), + vec2(0.662912607362, 0.662912607362), + vec2(-0.728574338866, 0.589987866609), + vec2(0.589987866609, 0.728574338866), + vec2(-0.786253657449, 0.510599095327), + vec2(0.510599095327, 0.786253657449), + vec2(-0.835318616427, 0.425616093506), + vec2(0.425616093506, 0.835318616427), + vec2(-0.875231649841, 0.335969952699), + vec2(0.335969952699, 0.875231649841), + vec2(-0.905555462146, 0.242642854784), + vec2(0.242642854784, 0.905555462146), + vec2(-0.925957819308, 0.146657310975), + vec2(0.146657310975, 0.925957819308), + vec2(-0.936215188832, 0.0490649589778), + vec2(0.0490649589778, 0.936215188832), + vec2(-0.936215188832, -0.0490649589778), + vec2(-0.0490649589778, 0.936215188832), + vec2(-0.925957819308, -0.146657310975), + vec2(-0.146657310975, 0.925957819308), + vec2(-0.905555462146, -0.242642854784), + vec2(-0.242642854784, 0.905555462146), + vec2(-0.875231649841, -0.335969952699), + vec2(-0.335969952699, 0.875231649841), + vec2(-0.835318616427, -0.425616093506), + vec2(-0.425616093506, 0.835318616427), + vec2(-0.786253657449, -0.510599095327), + vec2(-0.510599095327, 0.786253657449), + vec2(-0.728574338866, -0.589987866609), + vec2(-0.589987866609, 0.728574338866), + vec2(-0.662912607362, -0.662912607362), + vec2(-0.662912607362, 0.662912607362), + vec2(-0.589987866609, -0.728574338866), + vec2(-0.510599095327, -0.786253657449), + vec2(-0.425616093506, -0.835318616427), + vec2(-0.335969952699, -0.875231649841), + vec2(-0.242642854784, -0.905555462146), + vec2(-0.146657310975, -0.925957819308), + vec2(-0.0490649589778, -0.936215188832), + vec2(0.0490649589778, -0.936215188832), + vec2(0.146657310975, -0.925957819308), + vec2(0.242642854784, -0.905555462146), + vec2(0.335969952699, -0.875231649841), + vec2(0.425616093506, -0.835318616427), + vec2(0.510599095327, -0.786253657449), + vec2(0.589987866609, -0.728574338866), + vec2(0.662912607362, -0.662912607362), + vec2(0.728574338866, -0.589987866609), + vec2(0.786253657449, -0.510599095327), + vec2(0.835318616427, -0.425616093506), + vec2(0.875231649841, -0.335969952699), + vec2(0.905555462146, -0.242642854784), + vec2(0.925957819308, -0.146657310975), + vec2(0.936215188832, -0.0490649589778)); diff --git a/source/blender/draw/engines/eevee/shaders/default_frag.glsl b/source/blender/draw/engines/eevee/shaders/default_frag.glsl index 3a5f6171a16..c568b4d94be 100644 --- a/source/blender/draw/engines/eevee/shaders/default_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/default_frag.glsl @@ -7,41 +7,40 @@ uniform float roughness; Closure nodetree_exec(void) { #ifdef HAIR_SHADER - vec3 B = normalize(cross(worldNormal, hairTangent)); - float cos_theta; - if (hairThicknessRes == 1) { - vec4 rand = texelFetch(utilTex, ivec3(ivec2(gl_FragCoord.xy) % LUT_SIZE, 2.0), 0); - /* Random cosine normal distribution on the hair surface. */ - cos_theta = rand.x * 2.0 - 1.0; - } - else { - /* Shade as a cylinder. */ - cos_theta = hairThickTime / hairThickness; - } - float sin_theta = sqrt(max(0.0, 1.0f - cos_theta*cos_theta)); - vec3 N = normalize(worldNormal * sin_theta + B * cos_theta); - vec3 vN = mat3(ViewMatrix) * N; + vec3 B = normalize(cross(worldNormal, hairTangent)); + float cos_theta; + if (hairThicknessRes == 1) { + vec4 rand = texelFetch(utilTex, ivec3(ivec2(gl_FragCoord.xy) % LUT_SIZE, 2.0), 0); + /* Random cosine normal distribution on the hair surface. */ + cos_theta = rand.x * 2.0 - 1.0; + } + else { + /* Shade as a cylinder. */ + cos_theta = hairThickTime / hairThickness; + } + float sin_theta = sqrt(max(0.0, 1.0f - cos_theta * cos_theta)); + vec3 N = normalize(worldNormal * sin_theta + B * cos_theta); + vec3 vN = mat3(ViewMatrix) * N; #else - vec3 N = normalize(gl_FrontFacing ? worldNormal : -worldNormal); - vec3 vN = normalize(gl_FrontFacing ? viewNormal : -viewNormal); + vec3 N = normalize(gl_FrontFacing ? worldNormal : -worldNormal); + vec3 vN = normalize(gl_FrontFacing ? viewNormal : -viewNormal); #endif - vec3 dielectric = vec3(0.034) * specular * 2.0; - vec3 albedo = mix(basecol, vec3(0.0), metallic); - vec3 f0 = mix(dielectric, basecol, metallic); - vec3 out_diff, out_spec, ssr_spec; - eevee_closure_default(N, albedo, f0, 1, roughness, 1.0, out_diff, out_spec, ssr_spec); + vec3 dielectric = vec3(0.034) * specular * 2.0; + vec3 albedo = mix(basecol, vec3(0.0), metallic); + vec3 f0 = mix(dielectric, basecol, metallic); + vec3 out_diff, out_spec, ssr_spec; + eevee_closure_default(N, albedo, f0, 1, roughness, 1.0, out_diff, out_spec, ssr_spec); - Closure result = Closure( - out_spec + out_diff * albedo, - 1.0, - vec4(ssr_spec, roughness), - normal_encode(vN, viewCameraVec), - 0); + Closure result = Closure(out_spec + out_diff * albedo, + 1.0, + vec4(ssr_spec, roughness), + normal_encode(vN, viewCameraVec), + 0); #ifdef LOOKDEV - gl_FragDepth = 0.0; + gl_FragDepth = 0.0; #endif - return result; + return result; } diff --git a/source/blender/draw/engines/eevee/shaders/default_world_frag.glsl b/source/blender/draw/engines/eevee/shaders/default_world_frag.glsl index 7c00c9f3b73..0be2a8d6a12 100644 --- a/source/blender/draw/engines/eevee/shaders/default_world_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/default_world_frag.glsl @@ -13,50 +13,51 @@ uniform sampler2D image; uniform float studioLightBackground = 1.0; in vec3 viewPosition; -#define M_PI 3.14159265358979323846 +# define M_PI 3.14159265358979323846 vec3 background_transform_to_world(vec3 viewvec) { - vec4 v = (ProjectionMatrix[3][3] == 0.0) ? vec4(viewvec, 1.0) : vec4(0.0, 0.0, 1.0, 1.0); - vec4 co_homogenous = (ProjectionMatrixInverse * v); + vec4 v = (ProjectionMatrix[3][3] == 0.0) ? vec4(viewvec, 1.0) : vec4(0.0, 0.0, 1.0, 1.0); + vec4 co_homogenous = (ProjectionMatrixInverse * v); - vec4 co = vec4(co_homogenous.xyz / co_homogenous.w, 0.0); - return (ViewMatrixInverse * co).xyz; + vec4 co = vec4(co_homogenous.xyz / co_homogenous.w, 0.0); + return (ViewMatrixInverse * co).xyz; } float hypot(float x, float y) { - return sqrt(x * x + y * y); + return sqrt(x * x + y * y); } vec4 node_tex_environment_equirectangular(vec3 co, sampler2D ima) { - vec3 nco = normalize(co); - float u = -atan(nco.y, nco.x) / (2.0 * M_PI) + 0.5; - float v = atan(nco.z, hypot(nco.x, nco.y)) / M_PI + 0.5; - - /* Fix pole bleeding */ - float width = float(textureSize(ima, 0).x); - float texel_width = 1.0 / width; - v = clamp(v, texel_width, 1.0 - texel_width); - - /* Fix u = 0 seam */ - /* This is caused by texture filtering, since uv don't have smooth derivatives - * at u = 0 or 2PI, hardware filtering is using the smallest mipmap for certain - * texels. So we force the highest mipmap and don't do anisotropic filtering. */ - return textureLod(ima, vec2(u, v), 0.0); + vec3 nco = normalize(co); + float u = -atan(nco.y, nco.x) / (2.0 * M_PI) + 0.5; + float v = atan(nco.z, hypot(nco.x, nco.y)) / M_PI + 0.5; + + /* Fix pole bleeding */ + float width = float(textureSize(ima, 0).x); + float texel_width = 1.0 / width; + v = clamp(v, texel_width, 1.0 - texel_width); + + /* Fix u = 0 seam */ + /* This is caused by texture filtering, since uv don't have smooth derivatives + * at u = 0 or 2PI, hardware filtering is using the smallest mipmap for certain + * texels. So we force the highest mipmap and don't do anisotropic filtering. */ + return textureLod(ima, vec2(u, v), 0.0); } #endif -void main() { - vec3 background_color; +void main() +{ + vec3 background_color; #ifdef LOOKDEV - vec3 worldvec = background_transform_to_world(viewPosition); - background_color = node_tex_environment_equirectangular(StudioLightMatrix * worldvec, image).rgb; - background_color = mix(color, background_color, studioLightBackground); + vec3 worldvec = background_transform_to_world(viewPosition); + background_color = node_tex_environment_equirectangular(StudioLightMatrix * worldvec, image).rgb; + background_color = mix(color, background_color, studioLightBackground); #else - background_color = color; + background_color = color; #endif - FragColor = vec4(clamp(background_color, vec3(0.0), vec3(1e10)), 1.0) * backgroundAlpha; + FragColor = vec4(clamp(background_color, vec3(0.0), vec3(1e10)), 1.0) * backgroundAlpha; } diff --git a/source/blender/draw/engines/eevee/shaders/effect_bloom_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_bloom_frag.glsl index 6ac379c3845..299cb2094c1 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_bloom_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_bloom_frag.glsl @@ -49,172 +49,172 @@ out vec4 FragColor; vec3 safe_color(vec3 c) { - /* Clamp to avoid black square artifacts if a pixel goes NaN. */ - return clamp(c, vec3(0.0), vec3(1e20)); /* 1e20 arbitrary. */ + /* Clamp to avoid black square artifacts if a pixel goes NaN. */ + return clamp(c, vec3(0.0), vec3(1e20)); /* 1e20 arbitrary. */ } float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } /* 3-tap median filter */ vec3 median(vec3 a, vec3 b, vec3 c) { - return a + b + c - min(min(a, b), c) - max(max(a, b), c); + return a + b + c - min(min(a, b), c) - max(max(a, b), c); } /* ------------- Filters ------------ */ vec3 downsample_filter_high(sampler2D tex, vec2 uv, vec2 texelSize) { - /* Downsample with a 4x4 box filter + anti-flicker filter */ - vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1); - - vec3 s1 = textureLod(tex, uv + d.xy, 0.0).rgb; - vec3 s2 = textureLod(tex, uv + d.zy, 0.0).rgb; - vec3 s3 = textureLod(tex, uv + d.xw, 0.0).rgb; - vec3 s4 = textureLod(tex, uv + d.zw, 0.0).rgb; - - /* Karis's luma weighted average (using brightness instead of luma) */ - float s1w = 1.0 / (brightness(s1) + 1.0); - float s2w = 1.0 / (brightness(s2) + 1.0); - float s3w = 1.0 / (brightness(s3) + 1.0); - float s4w = 1.0 / (brightness(s4) + 1.0); - float one_div_wsum = 1.0 / (s1w + s2w + s3w + s4w); - - return (s1 * s1w + s2 * s2w + s3 * s3w + s4 * s4w) * one_div_wsum; + /* Downsample with a 4x4 box filter + anti-flicker filter */ + vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1); + + vec3 s1 = textureLod(tex, uv + d.xy, 0.0).rgb; + vec3 s2 = textureLod(tex, uv + d.zy, 0.0).rgb; + vec3 s3 = textureLod(tex, uv + d.xw, 0.0).rgb; + vec3 s4 = textureLod(tex, uv + d.zw, 0.0).rgb; + + /* Karis's luma weighted average (using brightness instead of luma) */ + float s1w = 1.0 / (brightness(s1) + 1.0); + float s2w = 1.0 / (brightness(s2) + 1.0); + float s3w = 1.0 / (brightness(s3) + 1.0); + float s4w = 1.0 / (brightness(s4) + 1.0); + float one_div_wsum = 1.0 / (s1w + s2w + s3w + s4w); + + return (s1 * s1w + s2 * s2w + s3 * s3w + s4 * s4w) * one_div_wsum; } vec3 downsample_filter(sampler2D tex, vec2 uv, vec2 texelSize) { - /* Downsample with a 4x4 box filter */ - vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1); + /* Downsample with a 4x4 box filter */ + vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1); - vec3 s; - s = textureLod(tex, uv + d.xy, 0.0).rgb; - s += textureLod(tex, uv + d.zy, 0.0).rgb; - s += textureLod(tex, uv + d.xw, 0.0).rgb; - s += textureLod(tex, uv + d.zw, 0.0).rgb; + vec3 s; + s = textureLod(tex, uv + d.xy, 0.0).rgb; + s += textureLod(tex, uv + d.zy, 0.0).rgb; + s += textureLod(tex, uv + d.xw, 0.0).rgb; + s += textureLod(tex, uv + d.zw, 0.0).rgb; - return s * (1.0 / 4); + return s * (1.0 / 4); } vec3 upsample_filter_high(sampler2D tex, vec2 uv, vec2 texelSize) { - /* 9-tap bilinear upsampler (tent filter) */ - vec4 d = texelSize.xyxy * vec4(1, 1, -1, 0) * sampleScale; + /* 9-tap bilinear upsampler (tent filter) */ + vec4 d = texelSize.xyxy * vec4(1, 1, -1, 0) * sampleScale; - vec3 s; - s = textureLod(tex, uv - d.xy, 0.0).rgb; - s += textureLod(tex, uv - d.wy, 0.0).rgb * 2; - s += textureLod(tex, uv - d.zy, 0.0).rgb; + vec3 s; + s = textureLod(tex, uv - d.xy, 0.0).rgb; + s += textureLod(tex, uv - d.wy, 0.0).rgb * 2; + s += textureLod(tex, uv - d.zy, 0.0).rgb; - s += textureLod(tex, uv + d.zw, 0.0).rgb * 2; - s += textureLod(tex, uv , 0.0).rgb * 4; - s += textureLod(tex, uv + d.xw, 0.0).rgb * 2; + s += textureLod(tex, uv + d.zw, 0.0).rgb * 2; + s += textureLod(tex, uv, 0.0).rgb * 4; + s += textureLod(tex, uv + d.xw, 0.0).rgb * 2; - s += textureLod(tex, uv + d.zy, 0.0).rgb; - s += textureLod(tex, uv + d.wy, 0.0).rgb * 2; - s += textureLod(tex, uv + d.xy, 0.0).rgb; + s += textureLod(tex, uv + d.zy, 0.0).rgb; + s += textureLod(tex, uv + d.wy, 0.0).rgb * 2; + s += textureLod(tex, uv + d.xy, 0.0).rgb; - return s * (1.0 / 16.0); + return s * (1.0 / 16.0); } vec3 upsample_filter(sampler2D tex, vec2 uv, vec2 texelSize) { - /* 4-tap bilinear upsampler */ - vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1) * (sampleScale * 0.5); + /* 4-tap bilinear upsampler */ + vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1) * (sampleScale * 0.5); - vec3 s; - s = textureLod(tex, uv + d.xy, 0.0).rgb; - s += textureLod(tex, uv + d.zy, 0.0).rgb; - s += textureLod(tex, uv + d.xw, 0.0).rgb; - s += textureLod(tex, uv + d.zw, 0.0).rgb; + vec3 s; + s = textureLod(tex, uv + d.xy, 0.0).rgb; + s += textureLod(tex, uv + d.zy, 0.0).rgb; + s += textureLod(tex, uv + d.xw, 0.0).rgb; + s += textureLod(tex, uv + d.zw, 0.0).rgb; - return s * (1.0 / 4.0); + return s * (1.0 / 4.0); } /* ----------- Steps ----------- */ vec4 step_blit(void) { - vec2 uv = uvcoordsvar.xy + sourceBufferTexelSize.xy * 0.5; + vec2 uv = uvcoordsvar.xy + sourceBufferTexelSize.xy * 0.5; #ifdef HIGH_QUALITY /* Anti flicker */ - vec3 d = sourceBufferTexelSize.xyx * vec3(1, 1, 0); - vec3 s0 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy, 0.0).rgb); - vec3 s1 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy - d.xz, 0.0).rgb); - vec3 s2 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy + d.xz, 0.0).rgb); - vec3 s3 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy - d.zy, 0.0).rgb); - vec3 s4 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy + d.zy, 0.0).rgb); - vec3 m = median(median(s0.rgb, s1, s2), s3, s4); + vec3 d = sourceBufferTexelSize.xyx * vec3(1, 1, 0); + vec3 s0 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy, 0.0).rgb); + vec3 s1 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy - d.xz, 0.0).rgb); + vec3 s2 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy + d.xz, 0.0).rgb); + vec3 s3 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy - d.zy, 0.0).rgb); + vec3 s4 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy + d.zy, 0.0).rgb); + vec3 m = median(median(s0.rgb, s1, s2), s3, s4); #else - vec3 s0 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy, 0.0).rgb); - vec3 m = s0.rgb; + vec3 s0 = safe_color(textureLod(sourceBuffer, uvcoordsvar.xy, 0.0).rgb); + vec3 m = s0.rgb; #endif - /* Pixel brightness */ - float br = brightness(m); + /* Pixel brightness */ + float br = brightness(m); - /* Under-threshold part: quadratic curve */ - float rq = clamp(br - curveThreshold.x, 0, curveThreshold.y); - rq = curveThreshold.z * rq * rq; + /* Under-threshold part: quadratic curve */ + float rq = clamp(br - curveThreshold.x, 0, curveThreshold.y); + rq = curveThreshold.z * rq * rq; - /* Combine and apply the brightness response curve. */ - m *= max(rq, br - curveThreshold.w) / max(1e-5, br); + /* Combine and apply the brightness response curve. */ + m *= max(rq, br - curveThreshold.w) / max(1e-5, br); - /* Clamp pixel intensity if clamping enabled */ - if (clampIntensity > 0.0) { - br = max(1e-5, brightness(m)); - m *= 1.0 - max(0.0, br - clampIntensity) / br; - } + /* Clamp pixel intensity if clamping enabled */ + if (clampIntensity > 0.0) { + br = max(1e-5, brightness(m)); + m *= 1.0 - max(0.0, br - clampIntensity) / br; + } - return vec4(m, 1.0); + return vec4(m, 1.0); } vec4 step_downsample(void) { #ifdef HIGH_QUALITY /* Anti flicker */ - vec3 sample = downsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 sample = downsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #else - vec3 sample = downsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 sample = downsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #endif - return vec4(sample, 1.0); + return vec4(sample, 1.0); } vec4 step_upsample(void) { #ifdef HIGH_QUALITY - vec3 blur = upsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 blur = upsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #else - vec3 blur = upsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 blur = upsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #endif - vec3 base = textureLod(baseBuffer, uvcoordsvar.xy, 0.0).rgb; - return vec4(base + blur, 1.0); + vec3 base = textureLod(baseBuffer, uvcoordsvar.xy, 0.0).rgb; + return vec4(base + blur, 1.0); } vec4 step_resolve(void) { #ifdef HIGH_QUALITY - vec3 blur = upsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 blur = upsample_filter_high(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #else - vec3 blur = upsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); + vec3 blur = upsample_filter(sourceBuffer, uvcoordsvar.xy, sourceBufferTexelSize); #endif - vec4 base = textureLod(baseBuffer, uvcoordsvar.xy, 0.0); - vec3 cout = base.rgb + blur * bloomColor; - return vec4(cout, base.a); + vec4 base = textureLod(baseBuffer, uvcoordsvar.xy, 0.0); + vec3 cout = base.rgb + blur * bloomColor; + return vec4(cout, base.a); } void main(void) { #if defined(STEP_BLIT) - FragColor = step_blit(); + FragColor = step_blit(); #elif defined(STEP_DOWNSAMPLE) - FragColor = step_downsample(); + FragColor = step_downsample(); #elif defined(STEP_UPSAMPLE) - FragColor = step_upsample(); + FragColor = step_upsample(); #elif defined(STEP_RESOLVE) - FragColor = step_resolve(); + FragColor = step_resolve(); #endif } diff --git a/source/blender/draw/engines/eevee/shaders/effect_dof_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_dof_frag.glsl index afd219fb831..8a10962c6ef 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_dof_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_dof_frag.glsl @@ -6,15 +6,16 @@ uniform sampler2D depthBuffer; uniform vec2 dofParams; -#define dof_mul dofParams.x /* distance * aperturesize * invsensorsize */ -#define dof_bias dofParams.y /* aperturesize * invsensorsize */ +#define dof_mul dofParams.x /* distance * aperturesize * invsensorsize */ +#define dof_bias dofParams.y /* aperturesize * invsensorsize */ uniform vec4 bokehParams[2]; -#define bokeh_rotation bokehParams[0].x -#define bokeh_ratio bokehParams[0].y -#define bokeh_maxsize bokehParams[0].z -#define bokeh_sides bokehParams[1] /* Polygon Bokeh shape number of sides (with precomputed vars) */ +#define bokeh_rotation bokehParams[0].x +#define bokeh_ratio bokehParams[0].y +#define bokeh_maxsize bokehParams[0].z +#define bokeh_sides \ + bokehParams[1] /* Polygon Bokeh shape number of sides (with precomputed vars) */ uniform vec2 nearFar; /* Near & far view depths values */ @@ -27,13 +28,17 @@ uniform vec2 nearFar; /* Near & far view depths values */ #define calculate_coc(zdepth) (dof_mul / zdepth - dof_bias) #define linear_depth(z) \ - ((ProjectionMatrix[3][3] == 0.0) ? \ - (nearFar.x * nearFar.y) / (z * (nearFar.x - nearFar.y) + nearFar.y) : \ - z * (nearFar.y - nearFar.x) + nearFar.x) /* Only true for camera view! */ + ((ProjectionMatrix[3][3] == 0.0) ? \ + (nearFar.x * nearFar.y) / (z * (nearFar.x - nearFar.y) + nearFar.y) : \ + z * (nearFar.y - nearFar.x) + nearFar.x) /* Only true for camera view! */ -#define weighted_sum(a, b, c, d, e) (a * e.x + b * e.y + c * e.z + d * e.w) / max(1e-6, dot(e, vec4(1.0))); +#define weighted_sum(a, b, c, d, e) \ + (a * e.x + b * e.y + c * e.z + d * e.w) / max(1e-6, dot(e, vec4(1.0))); -float max_v4(vec4 v) { return max(max(v.x, v.y), max(v.z, v.w)); } +float max_v4(vec4 v) +{ + return max(max(v.x, v.y), max(v.z, v.w)); +} #define THRESHOLD 1.0 @@ -48,46 +53,46 @@ layout(location = 2) out vec2 cocData; * Compute maximum CoC for near and far blur. */ void main(void) { - ivec4 uvs = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); + ivec4 uvs = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); - /* custom downsampling */ - vec4 color1 = texelFetch(colorBuffer, uvs.xy, 0); - vec4 color2 = texelFetch(colorBuffer, uvs.zw, 0); - vec4 color3 = texelFetch(colorBuffer, uvs.zy, 0); - vec4 color4 = texelFetch(colorBuffer, uvs.xw, 0); + /* custom downsampling */ + vec4 color1 = texelFetch(colorBuffer, uvs.xy, 0); + vec4 color2 = texelFetch(colorBuffer, uvs.zw, 0); + vec4 color3 = texelFetch(colorBuffer, uvs.zy, 0); + vec4 color4 = texelFetch(colorBuffer, uvs.xw, 0); - /* Leverage SIMD by combining 4 depth samples into a vec4 */ - vec4 depth; - depth.r = texelFetch(depthBuffer, uvs.xy, 0).r; - depth.g = texelFetch(depthBuffer, uvs.zw, 0).r; - depth.b = texelFetch(depthBuffer, uvs.zy, 0).r; - depth.a = texelFetch(depthBuffer, uvs.xw, 0).r; + /* Leverage SIMD by combining 4 depth samples into a vec4 */ + vec4 depth; + depth.r = texelFetch(depthBuffer, uvs.xy, 0).r; + depth.g = texelFetch(depthBuffer, uvs.zw, 0).r; + depth.b = texelFetch(depthBuffer, uvs.zy, 0).r; + depth.a = texelFetch(depthBuffer, uvs.xw, 0).r; - vec4 zdepth = linear_depth(depth); + vec4 zdepth = linear_depth(depth); - /* Compute signed CoC for each depth samples */ - vec4 coc_near = calculate_coc(zdepth); - vec4 coc_far = -coc_near; + /* Compute signed CoC for each depth samples */ + vec4 coc_near = calculate_coc(zdepth); + vec4 coc_far = -coc_near; - cocData.x = max(max_v4(coc_near), 0.0); - cocData.y = max(max_v4(coc_far), 0.0); + cocData.x = max(max_v4(coc_near), 0.0); + cocData.y = max(max_v4(coc_far), 0.0); - /* now we need to write the near-far fields premultiplied by the coc - * also use bilateral weighting by each coc values to avoid bleeding. */ - vec4 near_weights = step(THRESHOLD, coc_near) * clamp(1.0 - abs(cocData.x - coc_near), 0.0, 1.0); - vec4 far_weights = step(THRESHOLD, coc_far) * clamp(1.0 - abs(cocData.y - coc_far), 0.0, 1.0); + /* now we need to write the near-far fields premultiplied by the coc + * also use bilateral weighting by each coc values to avoid bleeding. */ + vec4 near_weights = step(THRESHOLD, coc_near) * clamp(1.0 - abs(cocData.x - coc_near), 0.0, 1.0); + vec4 far_weights = step(THRESHOLD, coc_far) * clamp(1.0 - abs(cocData.y - coc_far), 0.0, 1.0); # ifdef USE_ALPHA_DOF - /* Premult */ - color1.rgb *= color1.a; - color2.rgb *= color2.a; - color3.rgb *= color3.a; - color4.rgb *= color4.a; + /* Premult */ + color1.rgb *= color1.a; + color2.rgb *= color2.a; + color3.rgb *= color3.a; + color4.rgb *= color4.a; # endif - /* now write output to weighted buffers. */ - nearColor = weighted_sum(color1, color2, color3, color4, near_weights); - farColor = weighted_sum(color1, color2, color3, color4, far_weights); + /* now write output to weighted buffers. */ + nearColor = weighted_sum(color1, color2, color3, color4, near_weights); + farColor = weighted_sum(color1, color2, color3, color4, far_weights); } #elif defined(STEP_SCATTER) @@ -107,57 +112,57 @@ layout(location = 1) out float fragAlpha; /* accumulate color in the near/far blur buffers */ void main(void) { - /* Discard to avoid bleeding onto the next layer */ - if (int(gl_FragCoord.x) * edge.x + edge.y > 0) { - discard; - } + /* Discard to avoid bleeding onto the next layer */ + if (int(gl_FragCoord.x) * edge.x + edge.y > 0) { + discard; + } - /* Circle Dof */ - float dist = length(particlecoord); + /* Circle Dof */ + float dist = length(particlecoord); - /* Ouside of bokeh shape */ - if (dist > 1.0) { - discard; - } + /* Ouside of bokeh shape */ + if (dist > 1.0) { + discard; + } - /* Regular Polygon Dof */ - if (bokeh_sides.x > 0.0) { - /* Circle parametrization */ - float theta = atan(particlecoord.y, particlecoord.x) + bokeh_rotation; + /* Regular Polygon Dof */ + if (bokeh_sides.x > 0.0) { + /* Circle parametrization */ + float theta = atan(particlecoord.y, particlecoord.x) + bokeh_rotation; - /* Optimized version of : - * float denom = theta - (M_2PI / bokeh_sides) * floor((bokeh_sides * theta + M_PI) / M_2PI); - * float r = cos(M_PI / bokeh_sides) / cos(denom); */ - float denom = theta - bokeh_sides.y * floor(bokeh_sides.z * theta + 0.5); - float r = bokeh_sides.w / cos(denom); + /* Optimized version of : + * float denom = theta - (M_2PI / bokeh_sides) * floor((bokeh_sides * theta + M_PI) / M_2PI); + * float r = cos(M_PI / bokeh_sides) / cos(denom); */ + float denom = theta - bokeh_sides.y * floor(bokeh_sides.z * theta + 0.5); + float r = bokeh_sides.w / cos(denom); - /* Divide circle radial coord by the shape radius for angle theta. - * Giving us the new linear radius to the shape edge. */ - dist /= r; + /* Divide circle radial coord by the shape radius for angle theta. + * Giving us the new linear radius to the shape edge. */ + dist /= r; - /* Ouside of bokeh shape */ - if (dist > 1.0) { - discard; - } - } + /* Ouside of bokeh shape */ + if (dist > 1.0) { + discard; + } + } - fragColor = color; + fragColor = color; - /* Smooth the edges a bit. This effectively reduce the bokeh shape - * but does fade out the undersampling artifacts. */ - float shape = smoothstep(1.0, min(0.999, smoothFac), dist); + /* Smooth the edges a bit. This effectively reduce the bokeh shape + * but does fade out the undersampling artifacts. */ + float shape = smoothstep(1.0, min(0.999, smoothFac), dist); - fragColor *= shape; + fragColor *= shape; # ifdef USE_ALPHA_DOF - fragAlpha = fragColor.a; - fragColor.a = weight * shape; + fragAlpha = fragColor.a; + fragColor.a = weight * shape; # endif } #elif defined(STEP_RESOLVE) -#define MERGE_THRESHOLD 4.0 +# define MERGE_THRESHOLD 4.0 uniform sampler2D scatterBuffer; uniform sampler2D scatterAlphaBuffer; @@ -167,77 +172,77 @@ out vec4 fragColor; vec4 upsample_filter(sampler2D tex, vec2 uv, vec2 texelSize) { - /* TODO FIXME: Clamp the sample position - * depending on the layer to avoid bleeding. - * This is not really noticeable so leaving it as is for now. */ - -#if 1 /* 9-tap bilinear upsampler (tent filter) */ - vec4 d = texelSize.xyxy * vec4(1, 1, -1, 0); - - vec4 s; - s = textureLod(tex, uv - d.xy, 0.0); - s += textureLod(tex, uv - d.wy, 0.0) * 2; - s += textureLod(tex, uv - d.zy, 0.0); - - s += textureLod(tex, uv + d.zw, 0.0) * 2; - s += textureLod(tex, uv , 0.0) * 4; - s += textureLod(tex, uv + d.xw, 0.0) * 2; - - s += textureLod(tex, uv + d.zy, 0.0); - s += textureLod(tex, uv + d.wy, 0.0) * 2; - s += textureLod(tex, uv + d.xy, 0.0); - - return s * (1.0 / 16.0); -#else - /* 4-tap bilinear upsampler */ - vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1) * 0.5; - - vec4 s; - s = textureLod(tex, uv + d.xy, 0.0); - s += textureLod(tex, uv + d.zy, 0.0); - s += textureLod(tex, uv + d.xw, 0.0); - s += textureLod(tex, uv + d.zw, 0.0); - - return s * (1.0 / 4.0); -#endif + /* TODO FIXME: Clamp the sample position + * depending on the layer to avoid bleeding. + * This is not really noticeable so leaving it as is for now. */ + +# if 1 /* 9-tap bilinear upsampler (tent filter) */ + vec4 d = texelSize.xyxy * vec4(1, 1, -1, 0); + + vec4 s; + s = textureLod(tex, uv - d.xy, 0.0); + s += textureLod(tex, uv - d.wy, 0.0) * 2; + s += textureLod(tex, uv - d.zy, 0.0); + + s += textureLod(tex, uv + d.zw, 0.0) * 2; + s += textureLod(tex, uv, 0.0) * 4; + s += textureLod(tex, uv + d.xw, 0.0) * 2; + + s += textureLod(tex, uv + d.zy, 0.0); + s += textureLod(tex, uv + d.wy, 0.0) * 2; + s += textureLod(tex, uv + d.xy, 0.0); + + return s * (1.0 / 16.0); +# else + /* 4-tap bilinear upsampler */ + vec4 d = texelSize.xyxy * vec4(-1, -1, +1, +1) * 0.5; + + vec4 s; + s = textureLod(tex, uv + d.xy, 0.0); + s += textureLod(tex, uv + d.zy, 0.0); + s += textureLod(tex, uv + d.xw, 0.0); + s += textureLod(tex, uv + d.zw, 0.0); + + return s * (1.0 / 4.0); +# endif } /* Combine the Far and Near color buffers */ void main(void) { - vec2 uv = uvcoordsvar.xy; - /* Recompute Near / Far CoC per pixel */ - float depth = textureLod(depthBuffer, uv, 0.0).r; - float zdepth = linear_depth(depth); - float coc_signed = calculate_coc(zdepth); - float coc_far = max(-coc_signed, 0.0); - float coc_near = max(coc_signed, 0.0); + vec2 uv = uvcoordsvar.xy; + /* Recompute Near / Far CoC per pixel */ + float depth = textureLod(depthBuffer, uv, 0.0).r; + float zdepth = linear_depth(depth); + float coc_signed = calculate_coc(zdepth); + float coc_far = max(-coc_signed, 0.0); + float coc_near = max(coc_signed, 0.0); - vec4 focus_col = textureLod(colorBuffer, uv, 0.0); + vec4 focus_col = textureLod(colorBuffer, uv, 0.0); - vec2 texelSize = vec2(0.5, 1.0) / vec2(textureSize(scatterBuffer, 0)); - vec2 near_uv = uv * vec2(0.5, 1.0); - vec2 far_uv = near_uv + vec2(0.5, 0.0); - vec4 near_col = upsample_filter(scatterBuffer, near_uv, texelSize); - vec4 far_col = upsample_filter(scatterBuffer, far_uv, texelSize); + vec2 texelSize = vec2(0.5, 1.0) / vec2(textureSize(scatterBuffer, 0)); + vec2 near_uv = uv * vec2(0.5, 1.0); + vec2 far_uv = near_uv + vec2(0.5, 0.0); + vec4 near_col = upsample_filter(scatterBuffer, near_uv, texelSize); + vec4 far_col = upsample_filter(scatterBuffer, far_uv, texelSize); - float far_w = far_col.a; - float near_w = near_col.a; - float focus_w = 1.0 - smoothstep(1.0, MERGE_THRESHOLD, abs(coc_signed)); - float inv_weight_sum = 1.0 / (near_w + focus_w + far_w); + float far_w = far_col.a; + float near_w = near_col.a; + float focus_w = 1.0 - smoothstep(1.0, MERGE_THRESHOLD, abs(coc_signed)); + float inv_weight_sum = 1.0 / (near_w + focus_w + far_w); - focus_col *= focus_w; /* Premul */ + focus_col *= focus_w; /* Premul */ # ifdef USE_ALPHA_DOF - near_col.a = upsample_filter(scatterAlphaBuffer, near_uv, texelSize).r; - far_col.a = upsample_filter(scatterAlphaBuffer, far_uv, texelSize).r; + near_col.a = upsample_filter(scatterAlphaBuffer, near_uv, texelSize).r; + far_col.a = upsample_filter(scatterAlphaBuffer, far_uv, texelSize).r; # endif - fragColor = (far_col + near_col + focus_col) * inv_weight_sum; + fragColor = (far_col + near_col + focus_col) * inv_weight_sum; # ifdef USE_ALPHA_DOF - /* Unpremult */ - fragColor.rgb /= (fragColor.a > 0.0) ? fragColor.a : 1.0; + /* Unpremult */ + fragColor.rgb /= (fragColor.a > 0.0) ? fragColor.a : 1.0; # endif } diff --git a/source/blender/draw/engines/eevee/shaders/effect_dof_vert.glsl b/source/blender/draw/engines/eevee/shaders/effect_dof_vert.glsl index f3485f9120b..d83b410125a 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_dof_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_dof_vert.glsl @@ -1,9 +1,9 @@ uniform vec4 bokehParams[2]; -#define bokeh_rotation bokehParams[0].x -#define bokeh_ratio bokehParams[0].y -#define bokeh_maxsize bokehParams[0].z +#define bokeh_rotation bokehParams[0].x +#define bokeh_ratio bokehParams[0].y +#define bokeh_maxsize bokehParams[0].z uniform sampler2D nearBuffer; uniform sampler2D farBuffer; @@ -20,90 +20,90 @@ out vec2 particlecoord; /* Scatter pass, calculate a triangle covering the CoC. */ void main() { - ivec2 tex_size = textureSize(cocBuffer, 0); - /* We render to a double width texture so compute - * the target texel size accordingly */ - vec2 texel_size = vec2(0.5, 1.0) / vec2(tex_size); - - int t_id = gl_VertexID / 3; /* Triangle Id */ - - ivec2 texelco = ivec2(0); - /* some math to get the target pixel */ - texelco.x = t_id % tex_size.x; - texelco.y = t_id / tex_size.x; - - vec2 cocs = texelFetch(cocBuffer, texelco, 0).rg; - - bool is_near = (cocs.x > cocs.y); - float coc = (is_near) ? cocs.x : cocs.y; - - /* Clamp to max size for performance */ - coc = min(coc, bokeh_maxsize); - - if (coc >= 1.0) { - if (is_near) { - color = texelFetch(nearBuffer, texelco, 0); - } - else { - color = texelFetch(farBuffer, texelco, 0); - } - /* find the area the pixel will cover and divide the color by it */ - /* HACK: 4.0 out of nowhere (I suppose it's 4 pixels footprint for coc 0?) - * Makes near in focus more closer to 1.0 alpha. */ - weight = 4.0 / (coc * coc * M_PI); - color *= weight; - - /* Compute edge to discard fragment that does not belong to the other layer. */ - edge.x = (is_near) ? 1 : -1; - edge.y = (is_near) ? -tex_size.x + 1 : tex_size.x; - } - else { - /* Don't produce any fragments */ - color = vec4(0.0); - gl_Position = vec4(0.0, 0.0, 0.0, 1.0); - return; - } - - /* Generate Triangle : less memory fetches from a VBO */ - int v_id = gl_VertexID % 3; /* Vertex Id */ - - /* Extend to cover at least the unit circle */ - const float extend = (cos(M_PI / 4.0) + 1.0) * 2.0; - /* Crappy diagram - * ex 1 - * | \ - * | \ - * 1 | \ - * | \ - * | \ - * 0 | x \ - * | Circle \ - * | Origin \ - * -1 0 --------------- 2 - * -1 0 1 ex - */ - gl_Position.x = float(v_id / 2) * extend - 1.0; /* int divisor round down */ - gl_Position.y = float(v_id % 2) * extend - 1.0; - gl_Position.z = 0.0; - gl_Position.w = 1.0; - - /* Generate Triangle */ - particlecoord = gl_Position.xy; - - gl_Position.xy *= coc * texel_size * vec2(bokeh_ratio, 1.0); - gl_Position.xy -= 1.0 - 0.5 * texel_size; /* NDC Bottom left */ - gl_Position.xy += (0.5 + vec2(texelco) * 2.0) * texel_size; - - /* Push far plane to left side. */ - if (!is_near) { - gl_Position.x += 2.0 / 2.0; - } - - /* don't do smoothing for small sprites */ - if (coc > 3.0) { - smoothFac = 1.0 - 1.5 / coc; - } - else { - smoothFac = 1.0; - } + ivec2 tex_size = textureSize(cocBuffer, 0); + /* We render to a double width texture so compute + * the target texel size accordingly */ + vec2 texel_size = vec2(0.5, 1.0) / vec2(tex_size); + + int t_id = gl_VertexID / 3; /* Triangle Id */ + + ivec2 texelco = ivec2(0); + /* some math to get the target pixel */ + texelco.x = t_id % tex_size.x; + texelco.y = t_id / tex_size.x; + + vec2 cocs = texelFetch(cocBuffer, texelco, 0).rg; + + bool is_near = (cocs.x > cocs.y); + float coc = (is_near) ? cocs.x : cocs.y; + + /* Clamp to max size for performance */ + coc = min(coc, bokeh_maxsize); + + if (coc >= 1.0) { + if (is_near) { + color = texelFetch(nearBuffer, texelco, 0); + } + else { + color = texelFetch(farBuffer, texelco, 0); + } + /* find the area the pixel will cover and divide the color by it */ + /* HACK: 4.0 out of nowhere (I suppose it's 4 pixels footprint for coc 0?) + * Makes near in focus more closer to 1.0 alpha. */ + weight = 4.0 / (coc * coc * M_PI); + color *= weight; + + /* Compute edge to discard fragment that does not belong to the other layer. */ + edge.x = (is_near) ? 1 : -1; + edge.y = (is_near) ? -tex_size.x + 1 : tex_size.x; + } + else { + /* Don't produce any fragments */ + color = vec4(0.0); + gl_Position = vec4(0.0, 0.0, 0.0, 1.0); + return; + } + + /* Generate Triangle : less memory fetches from a VBO */ + int v_id = gl_VertexID % 3; /* Vertex Id */ + + /* Extend to cover at least the unit circle */ + const float extend = (cos(M_PI / 4.0) + 1.0) * 2.0; + /* Crappy diagram + * ex 1 + * | \ + * | \ + * 1 | \ + * | \ + * | \ + * 0 | x \ + * | Circle \ + * | Origin \ + * -1 0 --------------- 2 + * -1 0 1 ex + */ + gl_Position.x = float(v_id / 2) * extend - 1.0; /* int divisor round down */ + gl_Position.y = float(v_id % 2) * extend - 1.0; + gl_Position.z = 0.0; + gl_Position.w = 1.0; + + /* Generate Triangle */ + particlecoord = gl_Position.xy; + + gl_Position.xy *= coc * texel_size * vec2(bokeh_ratio, 1.0); + gl_Position.xy -= 1.0 - 0.5 * texel_size; /* NDC Bottom left */ + gl_Position.xy += (0.5 + vec2(texelco) * 2.0) * texel_size; + + /* Push far plane to left side. */ + if (!is_near) { + gl_Position.x += 2.0 / 2.0; + } + + /* don't do smoothing for small sprites */ + if (coc > 3.0) { + smoothFac = 1.0 - 1.5 / coc; + } + else { + smoothFac = 1.0; + } } diff --git a/source/blender/draw/engines/eevee/shaders/effect_downsample_cube_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_downsample_cube_frag.glsl index 5f5d60cb3c5..4f4599e1398 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_downsample_cube_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_downsample_cube_frag.glsl @@ -9,22 +9,37 @@ flat in int fFace; out vec4 FragColor; -const vec3 maj_axes[6] = vec3[6](vec3(1.0, 0.0, 0.0), vec3(-1.0, 0.0, 0.0), vec3(0.0, 1.0, 0.0), vec3(0.0, -1.0, 0.0), vec3( 0.0, 0.0, 1.0), vec3( 0.0, 0.0, -1.0)); -const vec3 x_axis[6] = vec3[6](vec3(0.0, 0.0, -1.0), vec3( 0.0, 0.0, 1.0), vec3(1.0, 0.0, 0.0), vec3(1.0, 0.0, 0.0), vec3( 1.0, 0.0, 0.0), vec3(-1.0, 0.0, 0.0)); -const vec3 y_axis[6] = vec3[6](vec3(0.0, -1.0, 0.0), vec3( 0.0, -1.0, 0.0), vec3(0.0, 0.0, 1.0), vec3(0.0, 0.0, -1.0), vec3( 0.0, -1.0, 0.0), vec3( 0.0, -1.0, 0.0)); +const vec3 maj_axes[6] = vec3[6](vec3(1.0, 0.0, 0.0), + vec3(-1.0, 0.0, 0.0), + vec3(0.0, 1.0, 0.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, 0.0, 1.0), + vec3(0.0, 0.0, -1.0)); +const vec3 x_axis[6] = vec3[6](vec3(0.0, 0.0, -1.0), + vec3(0.0, 0.0, 1.0), + vec3(1.0, 0.0, 0.0), + vec3(1.0, 0.0, 0.0), + vec3(1.0, 0.0, 0.0), + vec3(-1.0, 0.0, 0.0)); +const vec3 y_axis[6] = vec3[6](vec3(0.0, -1.0, 0.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, 0.0, 1.0), + vec3(0.0, 0.0, -1.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, -1.0, 0.0)); float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } void main() { - vec2 uvs = gl_FragCoord.xy * texelSize; + vec2 uvs = gl_FragCoord.xy * texelSize; - uvs = 2.0 * uvs - 1.0; + uvs = 2.0 * uvs - 1.0; - vec3 cubevec = x_axis[fFace] * uvs.x + y_axis[fFace] * uvs.y + maj_axes[fFace]; + vec3 cubevec = x_axis[fFace] * uvs.x + y_axis[fFace] * uvs.y + maj_axes[fFace]; - FragColor = textureLod(source, cubevec, 0.0); + FragColor = textureLod(source, cubevec, 0.0); } diff --git a/source/blender/draw/engines/eevee/shaders/effect_downsample_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_downsample_frag.glsl index a9e850ca04d..9a15ffe55db 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_downsample_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_downsample_frag.glsl @@ -9,29 +9,29 @@ out vec4 FragColor; float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } void main() { #if 0 - /* Reconstructing Target uvs like this avoid missing pixels if NPO2 */ - vec2 uvs = gl_FragCoord.xy * 2.0 / vec2(textureSize(source, 0)); + /* Reconstructing Target uvs like this avoid missing pixels if NPO2 */ + vec2 uvs = gl_FragCoord.xy * 2.0 / vec2(textureSize(source, 0)); - FragColor = textureLod(source, uvs, 0.0); + FragColor = textureLod(source, uvs, 0.0); #else - vec2 texel_size = 1.0 / vec2(textureSize(source, 0)); - vec2 uvs = gl_FragCoord.xy * 2.0 * texel_size; - vec4 ofs = texel_size.xyxy * vec4(0.75, 0.75, -0.75, -0.75); + vec2 texel_size = 1.0 / vec2(textureSize(source, 0)); + vec2 uvs = gl_FragCoord.xy * 2.0 * texel_size; + vec4 ofs = texel_size.xyxy * vec4(0.75, 0.75, -0.75, -0.75); - FragColor = textureLod(source, uvs + ofs.xy, 0.0); - FragColor += textureLod(source, uvs + ofs.xw, 0.0); - FragColor += textureLod(source, uvs + ofs.zy, 0.0); - FragColor += textureLod(source, uvs + ofs.zw, 0.0); - FragColor *= 0.25; + FragColor = textureLod(source, uvs + ofs.xy, 0.0); + FragColor += textureLod(source, uvs + ofs.xw, 0.0); + FragColor += textureLod(source, uvs + ofs.zy, 0.0); + FragColor += textureLod(source, uvs + ofs.zw, 0.0); + FragColor *= 0.25; - /* Clamped brightness. */ - float luma = max(1e-8, brightness(FragColor.rgb)); - FragColor *= 1.0 - max(0.0, luma - fireflyFactor) / luma; + /* Clamped brightness. */ + float luma = max(1e-8, brightness(FragColor.rgb)); + FragColor *= 1.0 - max(0.0, luma - fireflyFactor) / luma; #endif } diff --git a/source/blender/draw/engines/eevee/shaders/effect_gtao_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_gtao_frag.glsl index 6a223ddc1fe..eea0ce0aae2 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_gtao_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_gtao_frag.glsl @@ -12,66 +12,66 @@ uniform sampler2D normalBuffer; void main() { - vec2 texel_size = 1.0 / vec2(textureSize(depthBuffer, 0)).xy; - vec2 uvs = saturate(gl_FragCoord.xy * texel_size); + vec2 texel_size = 1.0 / vec2(textureSize(depthBuffer, 0)).xy; + vec2 uvs = saturate(gl_FragCoord.xy * texel_size); - float depth = textureLod(depthBuffer, uvs, 0.0).r; + float depth = textureLod(depthBuffer, uvs, 0.0).r; - vec3 viewPosition = get_view_space_from_depth(uvs, depth); - vec3 V = viewCameraVec; - vec3 normal = normal_decode(texture(normalBuffer, uvs).rg, V); + vec3 viewPosition = get_view_space_from_depth(uvs, depth); + vec3 V = viewCameraVec; + vec3 normal = normal_decode(texture(normalBuffer, uvs).rg, V); - vec3 bent_normal; - float visibility; + vec3 bent_normal; + float visibility; - vec4 noise = texelfetch_noise_tex(gl_FragCoord.xy); + vec4 noise = texelfetch_noise_tex(gl_FragCoord.xy); - gtao_deferred(normal, noise, depth, visibility, bent_normal); + gtao_deferred(normal, noise, depth, visibility, bent_normal); - /* Handle Background case. Prevent artifact due to uncleared Horizon Render Target. */ - FragColor = vec4((depth == 1.0) ? 0.0 : visibility); + /* Handle Background case. Prevent artifact due to uncleared Horizon Render Target. */ + FragColor = vec4((depth == 1.0) ? 0.0 : visibility); } #else -#ifdef LAYERED_DEPTH +# ifdef LAYERED_DEPTH uniform sampler2DArray depthBufferLayered; uniform int layer; -# define gtao_depthBuffer depthBufferLayered -# define gtao_textureLod(a, b, c) textureLod(a, vec3(b, layer), c) +# define gtao_depthBuffer depthBufferLayered +# define gtao_textureLod(a, b, c) textureLod(a, vec3(b, layer), c) -#else -# define gtao_depthBuffer depthBuffer -# define gtao_textureLod(a, b, c) textureLod(a, b, c) +# else +# define gtao_depthBuffer depthBuffer +# define gtao_textureLod(a, b, c) textureLod(a, b, c) -#endif +# endif void main() { - vec2 uvs = saturate(gl_FragCoord.xy / vec2(textureSize(gtao_depthBuffer, 0).xy)); - float depth = gtao_textureLod(gtao_depthBuffer, uvs, 0.0).r; - - if (depth == 1.0) { - /* Do not trace for background */ - FragColor = vec4(0.0); - return; - } - - /* Avoid self shadowing. */ - depth = saturate(depth - 3e-6); /* Tweaked for 24bit depth buffer. */ - - vec3 viewPosition = get_view_space_from_depth(uvs, depth); - vec4 noise = texelfetch_noise_tex(gl_FragCoord.xy); - vec2 max_dir = get_max_dir(viewPosition.z); - vec4 dirs; - dirs.xy = get_ao_dir(noise.x * 0.5); - dirs.zw = get_ao_dir(noise.x * 0.5 + 0.5); - - /* Search in 4 directions. */ - FragColor.xy = search_horizon_sweep(dirs.xy, viewPosition, uvs, noise.y, max_dir); - FragColor.zw = search_horizon_sweep(dirs.zw, viewPosition, uvs, noise.y, max_dir); - - /* Resize output for integer texture. */ - FragColor = pack_horizons(FragColor); + vec2 uvs = saturate(gl_FragCoord.xy / vec2(textureSize(gtao_depthBuffer, 0).xy)); + float depth = gtao_textureLod(gtao_depthBuffer, uvs, 0.0).r; + + if (depth == 1.0) { + /* Do not trace for background */ + FragColor = vec4(0.0); + return; + } + + /* Avoid self shadowing. */ + depth = saturate(depth - 3e-6); /* Tweaked for 24bit depth buffer. */ + + vec3 viewPosition = get_view_space_from_depth(uvs, depth); + vec4 noise = texelfetch_noise_tex(gl_FragCoord.xy); + vec2 max_dir = get_max_dir(viewPosition.z); + vec4 dirs; + dirs.xy = get_ao_dir(noise.x * 0.5); + dirs.zw = get_ao_dir(noise.x * 0.5 + 0.5); + + /* Search in 4 directions. */ + FragColor.xy = search_horizon_sweep(dirs.xy, viewPosition, uvs, noise.y, max_dir); + FragColor.zw = search_horizon_sweep(dirs.zw, viewPosition, uvs, noise.y, max_dir); + + /* Resize output for integer texture. */ + FragColor = pack_horizons(FragColor); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/effect_minmaxz_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_minmaxz_frag.glsl index e7b51b8fb55..a8f3cf7a52b 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_minmaxz_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_minmaxz_frag.glsl @@ -20,13 +20,13 @@ uniform sampler2D depthBuffer; #endif #ifdef MIN_PASS -#define minmax2(a, b) min(a, b) -#define minmax3(a, b, c) min(min(a, b), c) -#define minmax4(a, b, c, d) min(min(min(a, b), c), d) +# define minmax2(a, b) min(a, b) +# define minmax3(a, b, c) min(min(a, b), c) +# define minmax4(a, b, c, d) min(min(min(a, b), c), d) #else /* MAX_PASS */ -#define minmax2(a, b) max(a, b) -#define minmax3(a, b, c) max(max(a, b), c) -#define minmax4(a, b, c, d) max(max(max(a, b), c), d) +# define minmax2(a, b) max(a, b) +# define minmax3(a, b, c) max(max(a, b), c) +# define minmax4(a, b, c, d) max(max(max(a, b), c), d) #endif /* On some AMD card / driver combination, it is needed otherwise, @@ -37,59 +37,59 @@ out vec4 fragColor; void main() { - ivec2 texelPos = ivec2(gl_FragCoord.xy); - ivec2 mipsize = textureSize(depthBuffer, 0).xy; + ivec2 texelPos = ivec2(gl_FragCoord.xy); + ivec2 mipsize = textureSize(depthBuffer, 0).xy; #ifndef COPY_DEPTH - texelPos *= 2; + texelPos *= 2; #endif #ifdef COPY_DEPTH - float val = sampleLowerMip(texelPos); + float val = sampleLowerMip(texelPos); #else - vec4 samp; + vec4 samp; # ifdef GPU_ARB_texture_gather - /* + 1.0 to gather at the center of target 4 texels. */ - samp = gatherLowerMip((vec2(texelPos) + 1.0) / vec2(mipsize)); + /* + 1.0 to gather at the center of target 4 texels. */ + samp = gatherLowerMip((vec2(texelPos) + 1.0) / vec2(mipsize)); # else - samp.x = sampleLowerMip(texelPos); - samp.y = sampleLowerMip(texelPos + ivec2(1, 0)); - samp.z = sampleLowerMip(texelPos + ivec2(1, 1)); - samp.w = sampleLowerMip(texelPos + ivec2(0, 1)); + samp.x = sampleLowerMip(texelPos); + samp.y = sampleLowerMip(texelPos + ivec2(1, 0)); + samp.z = sampleLowerMip(texelPos + ivec2(1, 1)); + samp.w = sampleLowerMip(texelPos + ivec2(0, 1)); # endif - float val = minmax4(samp.x, samp.y, samp.z, samp.w); + float val = minmax4(samp.x, samp.y, samp.z, samp.w); - /* if we are reducing an odd-width texture then fetch the edge texels */ - if (((mipsize.x & 1) != 0) && (texelPos.x == mipsize.x - 3)) { - /* if both edges are odd, fetch the top-left corner texel */ - if (((mipsize.y & 1) != 0) && (texelPos.y == mipsize.y - 3)) { - samp.x = sampleLowerMip(texelPos + ivec2(2, 2)); - val = minmax2(val, samp.x); - } + /* if we are reducing an odd-width texture then fetch the edge texels */ + if (((mipsize.x & 1) != 0) && (texelPos.x == mipsize.x - 3)) { + /* if both edges are odd, fetch the top-left corner texel */ + if (((mipsize.y & 1) != 0) && (texelPos.y == mipsize.y - 3)) { + samp.x = sampleLowerMip(texelPos + ivec2(2, 2)); + val = minmax2(val, samp.x); + } # ifdef GPU_ARB_texture_gather - samp = gatherLowerMip((vec2(texelPos) + vec2(2.0, 1.0)) / vec2(mipsize)); + samp = gatherLowerMip((vec2(texelPos) + vec2(2.0, 1.0)) / vec2(mipsize)); # else - samp.y = sampleLowerMip(texelPos + ivec2(2, 0)); - samp.z = sampleLowerMip(texelPos + ivec2(2, 1)); + samp.y = sampleLowerMip(texelPos + ivec2(2, 0)); + samp.z = sampleLowerMip(texelPos + ivec2(2, 1)); # endif - val = minmax3(val, samp.y, samp.z); - } - /* if we are reducing an odd-height texture then fetch the edge texels */ - if (((mipsize.y & 1) != 0) && (texelPos.y == mipsize.y - 3)) { + val = minmax3(val, samp.y, samp.z); + } + /* if we are reducing an odd-height texture then fetch the edge texels */ + if (((mipsize.y & 1) != 0) && (texelPos.y == mipsize.y - 3)) { # ifdef GPU_ARB_texture_gather - samp = gatherLowerMip((vec2(texelPos) + vec2(1.0, 2.0)) / vec2(mipsize)); + samp = gatherLowerMip((vec2(texelPos) + vec2(1.0, 2.0)) / vec2(mipsize)); # else - samp.x = sampleLowerMip(texelPos + ivec2(0, 2)); - samp.y = sampleLowerMip(texelPos + ivec2(1, 2)); + samp.x = sampleLowerMip(texelPos + ivec2(0, 2)); + samp.y = sampleLowerMip(texelPos + ivec2(1, 2)); # endif - val = minmax3(val, samp.x, samp.y); - } + val = minmax3(val, samp.x, samp.y); + } #endif #if defined(GPU_INTEL) || defined(GPU_ATI) - /* Use color format instead of 24bit depth texture */ - fragColor = vec4(val); + /* Use color format instead of 24bit depth texture */ + fragColor = vec4(val); #endif - gl_FragDepth = val; + gl_FragDepth = val; } diff --git a/source/blender/draw/engines/eevee/shaders/effect_mist_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_mist_frag.glsl index fe38b2e9aac..edee55a07e0 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_mist_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_mist_frag.glsl @@ -1,31 +1,31 @@ /* Convert depth to Mist factor */ uniform vec3 mistSettings; -#define mistStart mistSettings.x -#define mistInvDistance mistSettings.y -#define mistFalloff mistSettings.z +#define mistStart mistSettings.x +#define mistInvDistance mistSettings.y +#define mistFalloff mistSettings.z out vec4 fragColor; void main() { - vec2 texel_size = 1.0 / vec2(textureSize(depthBuffer, 0)).xy; - vec2 uvs = gl_FragCoord.xy * texel_size; + vec2 texel_size = 1.0 / vec2(textureSize(depthBuffer, 0)).xy; + vec2 uvs = gl_FragCoord.xy * texel_size; - float depth = textureLod(depthBuffer, uvs, 0.0).r; - vec3 co = get_view_space_from_depth(uvs, depth); + float depth = textureLod(depthBuffer, uvs, 0.0).r; + vec3 co = get_view_space_from_depth(uvs, depth); - float zcor = (ProjectionMatrix[3][3] == 0.0) ? length(co) : -co.z; + float zcor = (ProjectionMatrix[3][3] == 0.0) ? length(co) : -co.z; - /* bring depth into 0..1 range */ - float mist = saturate((zcor - mistStart) * mistInvDistance); + /* bring depth into 0..1 range */ + float mist = saturate((zcor - mistStart) * mistInvDistance); - /* falloff */ - mist = pow(mist, mistFalloff); + /* falloff */ + mist = pow(mist, mistFalloff); - fragColor = vec4(mist); + fragColor = vec4(mist); - // if (mist > 0.999) fragColor = vec4(1.0); - // else if (mist > 0.0001) fragColor = vec4(0.5); - // else fragColor = vec4(0.0); + // if (mist > 0.999) fragColor = vec4(1.0); + // else if (mist > 0.0001) fragColor = vec4(0.5); + // else fragColor = vec4(0.0); } diff --git a/source/blender/draw/engines/eevee/shaders/effect_motion_blur_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_motion_blur_frag.glsl index 73e284570cd..b7935235d06 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_motion_blur_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_motion_blur_frag.glsl @@ -2,7 +2,6 @@ uniform sampler2D colorBuffer; uniform sampler2D depthBuffer; - /* current frame */ uniform mat4 currInvViewProjMatrix; @@ -19,47 +18,47 @@ uniform int samples; float wang_hash_noise(uint s) { - uint seed = (uint(gl_FragCoord.x) * 1664525u + uint(gl_FragCoord.y)) + s; + uint seed = (uint(gl_FragCoord.x) * 1664525u + uint(gl_FragCoord.y)) + s; - seed = (seed ^ 61u) ^ (seed >> 16u); - seed *= 9u; - seed = seed ^ (seed >> 4u); - seed *= 0x27d4eb2du; - seed = seed ^ (seed >> 15u); + seed = (seed ^ 61u) ^ (seed >> 16u); + seed *= 9u; + seed = seed ^ (seed >> 4u); + seed *= 0x27d4eb2du; + seed = seed ^ (seed >> 15u); - float value = float(seed); - value *= 1.0 / 4294967296.0; - return fract(value); + float value = float(seed); + value *= 1.0 / 4294967296.0; + return fract(value); } void main() { - vec3 ndc_pos; - ndc_pos.xy = uvcoordsvar.xy; - ndc_pos.z = texture(depthBuffer, uvcoordsvar.xy).x; + vec3 ndc_pos; + ndc_pos.xy = uvcoordsvar.xy; + ndc_pos.z = texture(depthBuffer, uvcoordsvar.xy).x; - float inv_samples = 1.0 / float(samples); - float noise = 2.0 * wang_hash_noise(0u) * inv_samples; + float inv_samples = 1.0 / float(samples); + float noise = 2.0 * wang_hash_noise(0u) * inv_samples; - /* Normalize Device Coordinates are [-1, +1]. */ - ndc_pos = ndc_pos * 2.0 - 1.0; + /* Normalize Device Coordinates are [-1, +1]. */ + ndc_pos = ndc_pos * 2.0 - 1.0; - vec4 p = currInvViewProjMatrix * vec4(ndc_pos, 1.0); - vec3 world_pos = p.xyz / p.w; /* Perspective divide */ + vec4 p = currInvViewProjMatrix * vec4(ndc_pos, 1.0); + vec3 world_pos = p.xyz / p.w; /* Perspective divide */ - /* Now find where was this pixel position - * inside the past camera viewport */ - vec4 old_ndc = pastViewProjMatrix * vec4(world_pos, 1.0); - old_ndc.xyz /= old_ndc.w; /* Perspective divide */ + /* Now find where was this pixel position + * inside the past camera viewport */ + vec4 old_ndc = pastViewProjMatrix * vec4(world_pos, 1.0); + old_ndc.xyz /= old_ndc.w; /* Perspective divide */ - vec2 motion = (ndc_pos.xy - old_ndc.xy) * 0.25; /* 0.25 fit cycles ref */ + vec2 motion = (ndc_pos.xy - old_ndc.xy) * 0.25; /* 0.25 fit cycles ref */ - float inc = 2.0 * inv_samples; - float i = -1.0 + noise; + float inc = 2.0 * inv_samples; + float i = -1.0 + noise; - FragColor = vec4(0.0); - for (int j = 0; j < samples && j < MAX_SAMPLE; j++) { - FragColor += textureLod(colorBuffer, uvcoordsvar.xy + motion * i, 0.0) * inv_samples; - i += inc; - } + FragColor = vec4(0.0); + for (int j = 0; j < samples && j < MAX_SAMPLE; j++) { + FragColor += textureLod(colorBuffer, uvcoordsvar.xy + motion * i, 0.0) * inv_samples; + i += inc; + } } diff --git a/source/blender/draw/engines/eevee/shaders/effect_ssr_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_ssr_frag.glsl index 2178b15a753..44f22848c2f 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_ssr_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_ssr_frag.glsl @@ -8,21 +8,21 @@ uniform ivec2 halfresOffset; ivec2 encode_hit_data(vec2 hit_pos, bool has_hit, bool is_planar) { - ivec2 hit_data = ivec2(saturate(hit_pos) * 32767.0); /* 16bit signed int limit */ - hit_data.x *= (is_planar) ? -1 : 1; - hit_data.y *= (has_hit) ? 1 : -1; - return hit_data; + ivec2 hit_data = ivec2(saturate(hit_pos) * 32767.0); /* 16bit signed int limit */ + hit_data.x *= (is_planar) ? -1 : 1; + hit_data.y *= (has_hit) ? 1 : -1; + return hit_data; } vec2 decode_hit_data(vec2 hit_data, out bool has_hit, out bool is_planar) { - is_planar = (hit_data.x < 0); - has_hit = (hit_data.y > 0); - vec2 hit_co = vec2(abs(hit_data)) / 32767.0; /* 16bit signed int limit */ - if (is_planar) { - hit_co.x = 1.0 - hit_co.x; - } - return hit_co; + is_planar = (hit_data.x < 0); + has_hit = (hit_data.y > 0); + vec2 hit_co = vec2(abs(hit_data)) / 32767.0; /* 16bit signed int limit */ + if (is_planar) { + hit_co.x = 1.0 - hit_co.x; + } + return hit_co; } #ifdef STEP_RAYTRACE @@ -33,130 +33,138 @@ uniform sampler2D specroughBuffer; layout(location = 0) out ivec2 hitData; layout(location = 1) out float pdfData; -void do_planar_ssr(int index, vec3 V, vec3 N, vec3 T, vec3 B, vec3 planeNormal, vec3 viewPosition, float a2, vec4 rand) +void do_planar_ssr(int index, + vec3 V, + vec3 N, + vec3 T, + vec3 B, + vec3 planeNormal, + vec3 viewPosition, + float a2, + vec4 rand) { - float NH; - vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ - float pdf = pdf_ggx_reflect(NH, a2); + float NH; + vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ + float pdf = pdf_ggx_reflect(NH, a2); - vec3 R = reflect(-V, H); - R = reflect(R, planeNormal); + vec3 R = reflect(-V, H); + R = reflect(R, planeNormal); - /* If ray is bad (i.e. going below the plane) regenerate. */ - if (dot(R, planeNormal) > 0.0) { - vec3 H = sample_ggx(rand.xzw * vec3(1.0, -1.0, -1.0), a2, N, T, B, NH); /* Microfacet normal */ - pdf = pdf_ggx_reflect(NH, a2); + /* If ray is bad (i.e. going below the plane) regenerate. */ + if (dot(R, planeNormal) > 0.0) { + vec3 H = sample_ggx(rand.xzw * vec3(1.0, -1.0, -1.0), a2, N, T, B, NH); /* Microfacet normal */ + pdf = pdf_ggx_reflect(NH, a2); - R = reflect(-V, H); - R = reflect(R, planeNormal); - } + R = reflect(-V, H); + R = reflect(R, planeNormal); + } - pdfData = min(1024e32, pdf); /* Theoretical limit of 16bit float */ + pdfData = min(1024e32, pdf); /* Theoretical limit of 16bit float */ - /* Since viewspace hit position can land behind the camera in this case, - * we save the reflected view position (visualize it as the hit position - * below the reflection plane). This way it's garanted that the hit will - * be in front of the camera. That let us tag the bad rays with a negative - * sign in the Z component. */ - vec3 hit_pos = raycast(index, viewPosition, R * 1e16, 1e16, rand.y, ssrQuality, a2, false); + /* Since viewspace hit position can land behind the camera in this case, + * we save the reflected view position (visualize it as the hit position + * below the reflection plane). This way it's garanted that the hit will + * be in front of the camera. That let us tag the bad rays with a negative + * sign in the Z component. */ + vec3 hit_pos = raycast(index, viewPosition, R * 1e16, 1e16, rand.y, ssrQuality, a2, false); - hitData = encode_hit_data(hit_pos.xy, (hit_pos.z > 0.0), true); + hitData = encode_hit_data(hit_pos.xy, (hit_pos.z > 0.0), true); } void do_ssr(vec3 V, vec3 N, vec3 T, vec3 B, vec3 viewPosition, float a2, vec4 rand) { - float NH; - vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ - float pdf = pdf_ggx_reflect(NH, a2); + float NH; + vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ + float pdf = pdf_ggx_reflect(NH, a2); - vec3 R = reflect(-V, H); - pdfData = min(1024e32, pdf); /* Theoretical limit of 16bit float */ + vec3 R = reflect(-V, H); + pdfData = min(1024e32, pdf); /* Theoretical limit of 16bit float */ - vec3 hit_pos = raycast(-1, viewPosition, R * 1e16, ssrThickness, rand.y, ssrQuality, a2, true); + vec3 hit_pos = raycast(-1, viewPosition, R * 1e16, ssrThickness, rand.y, ssrQuality, a2, true); - hitData = encode_hit_data(hit_pos.xy, (hit_pos.z > 0.0), false); + hitData = encode_hit_data(hit_pos.xy, (hit_pos.z > 0.0), false); } void main() { -#ifdef FULLRES - ivec2 fullres_texel = ivec2(gl_FragCoord.xy); - ivec2 halfres_texel = fullres_texel; -#else - ivec2 fullres_texel = ivec2(gl_FragCoord.xy) * 2 + halfresOffset; - ivec2 halfres_texel = ivec2(gl_FragCoord.xy); -#endif - - float depth = texelFetch(depthBuffer, fullres_texel, 0).r; - - /* Default: not hits. */ - hitData = encode_hit_data(vec2(0.5), false, false); - pdfData = 0.0; - - /* Early out */ - /* We can't do discard because we don't clear the render target. */ - if (depth == 1.0) { - return; - } - - vec2 uvs = vec2(fullres_texel) / vec2(textureSize(depthBuffer, 0)); - - /* Using view space */ - vec3 viewPosition = get_view_space_from_depth(uvs, depth); - vec3 V = viewCameraVec; - vec3 N = normal_decode(texelFetch(normalBuffer, fullres_texel, 0).rg, V); - - /* Retrieve pixel data */ - vec4 speccol_roughness = texelFetch(specroughBuffer, fullres_texel, 0).rgba; - - /* Early out */ - if (dot(speccol_roughness.rgb, vec3(1.0)) == 0.0) { - return; - } - - float roughness = speccol_roughness.a; - float roughnessSquared = max(1e-3, roughness * roughness); - float a2 = roughnessSquared * roughnessSquared; - - /* Early out */ - if (roughness > ssrMaxRoughness + 0.2) { - return; - } - - vec4 rand = texelFetch(utilTex, ivec3(halfres_texel % LUT_SIZE, 2), 0); - - /* Gives *perfect* reflection for very small roughness */ - if (roughness < 0.04) { - rand.xzw *= 0.0; - } - /* Importance sampling bias */ - rand.x = mix(rand.x, 0.0, ssrBrdfBias); - - vec3 worldPosition = transform_point(ViewMatrixInverse, viewPosition); - vec3 wN = transform_direction(ViewMatrixInverse, N); - - vec3 T, B; - make_orthonormal_basis(N, T, B); /* Generate tangent space */ - - /* Planar Reflections */ - for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar; ++i) { - PlanarData pd = planars_data[i]; - - float fade = probe_attenuation_planar(pd, worldPosition, wN, 0.0); - - if (fade > 0.5) { - /* Find view vector / reflection plane intersection. */ - /* TODO optimize, use view space for all. */ - vec3 tracePosition = line_plane_intersect(worldPosition, cameraVec, pd.pl_plane_eq); - tracePosition = transform_point(ViewMatrix, tracePosition); - vec3 planeNormal = transform_direction(ViewMatrix, pd.pl_normal); - - do_planar_ssr(i, V, N, T, B, planeNormal, tracePosition, a2, rand); - return; - } - } - - do_ssr(V, N, T, B, viewPosition, a2, rand); +# ifdef FULLRES + ivec2 fullres_texel = ivec2(gl_FragCoord.xy); + ivec2 halfres_texel = fullres_texel; +# else + ivec2 fullres_texel = ivec2(gl_FragCoord.xy) * 2 + halfresOffset; + ivec2 halfres_texel = ivec2(gl_FragCoord.xy); +# endif + + float depth = texelFetch(depthBuffer, fullres_texel, 0).r; + + /* Default: not hits. */ + hitData = encode_hit_data(vec2(0.5), false, false); + pdfData = 0.0; + + /* Early out */ + /* We can't do discard because we don't clear the render target. */ + if (depth == 1.0) { + return; + } + + vec2 uvs = vec2(fullres_texel) / vec2(textureSize(depthBuffer, 0)); + + /* Using view space */ + vec3 viewPosition = get_view_space_from_depth(uvs, depth); + vec3 V = viewCameraVec; + vec3 N = normal_decode(texelFetch(normalBuffer, fullres_texel, 0).rg, V); + + /* Retrieve pixel data */ + vec4 speccol_roughness = texelFetch(specroughBuffer, fullres_texel, 0).rgba; + + /* Early out */ + if (dot(speccol_roughness.rgb, vec3(1.0)) == 0.0) { + return; + } + + float roughness = speccol_roughness.a; + float roughnessSquared = max(1e-3, roughness * roughness); + float a2 = roughnessSquared * roughnessSquared; + + /* Early out */ + if (roughness > ssrMaxRoughness + 0.2) { + return; + } + + vec4 rand = texelFetch(utilTex, ivec3(halfres_texel % LUT_SIZE, 2), 0); + + /* Gives *perfect* reflection for very small roughness */ + if (roughness < 0.04) { + rand.xzw *= 0.0; + } + /* Importance sampling bias */ + rand.x = mix(rand.x, 0.0, ssrBrdfBias); + + vec3 worldPosition = transform_point(ViewMatrixInverse, viewPosition); + vec3 wN = transform_direction(ViewMatrixInverse, N); + + vec3 T, B; + make_orthonormal_basis(N, T, B); /* Generate tangent space */ + + /* Planar Reflections */ + for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar; ++i) { + PlanarData pd = planars_data[i]; + + float fade = probe_attenuation_planar(pd, worldPosition, wN, 0.0); + + if (fade > 0.5) { + /* Find view vector / reflection plane intersection. */ + /* TODO optimize, use view space for all. */ + vec3 tracePosition = line_plane_intersect(worldPosition, cameraVec, pd.pl_plane_eq); + tracePosition = transform_point(ViewMatrix, tracePosition); + vec3 planeNormal = transform_direction(ViewMatrix, pd.pl_normal); + + do_planar_ssr(i, V, N, T, B, planeNormal, tracePosition, a2, rand); + return; + } + } + + do_ssr(V, N, T, B, viewPosition, a2, rand); } #else /* STEP_RESOLVE */ @@ -170,21 +178,43 @@ uniform sampler2D pdfBuffer; uniform int neighborOffset; -const ivec2 neighbors[32] = ivec2[32]( - ivec2( 0, 0), ivec2( 1, 1), ivec2(-2, 0), ivec2( 0, -2), - ivec2( 0, 0), ivec2( 1, -1), ivec2(-2, 0), ivec2( 0, 2), - ivec2( 0, 0), ivec2(-1, -1), ivec2( 2, 0), ivec2( 0, 2), - ivec2( 0, 0), ivec2(-1, 1), ivec2( 2, 0), ivec2( 0, -2), - - ivec2( 0, 0), ivec2( 2, 2), ivec2(-2, 2), ivec2( 0, -1), - ivec2( 0, 0), ivec2( 2, -2), ivec2(-2, -2), ivec2( 0, 1), - ivec2( 0, 0), ivec2(-2, -2), ivec2(-2, 2), ivec2( 1, 0), - ivec2( 0, 0), ivec2( 2, 2), ivec2( 2, -2), ivec2(-1, 0) -); +const ivec2 neighbors[32] = ivec2[32](ivec2(0, 0), + ivec2(1, 1), + ivec2(-2, 0), + ivec2(0, -2), + ivec2(0, 0), + ivec2(1, -1), + ivec2(-2, 0), + ivec2(0, 2), + ivec2(0, 0), + ivec2(-1, -1), + ivec2(2, 0), + ivec2(0, 2), + ivec2(0, 0), + ivec2(-1, 1), + ivec2(2, 0), + ivec2(0, -2), + + ivec2(0, 0), + ivec2(2, 2), + ivec2(-2, 2), + ivec2(0, -1), + ivec2(0, 0), + ivec2(2, -2), + ivec2(-2, -2), + ivec2(0, 1), + ivec2(0, 0), + ivec2(-2, -2), + ivec2(-2, 2), + ivec2(1, 0), + ivec2(0, 0), + ivec2(2, 2), + ivec2(2, -2), + ivec2(-1, 0)); out vec4 fragColor; -#if 0 /* Finish reprojection with motion vectors */ +# if 0 /* Finish reprojection with motion vectors */ vec3 get_motion_vector(vec3 pos) { } @@ -192,297 +222,326 @@ vec3 get_motion_vector(vec3 pos) /* http://bitsquid.blogspot.fr/2017/06/reprojecting-reflections_22.html */ vec3 find_reflection_incident_point(vec3 cam, vec3 hit, vec3 pos, vec3 N) { - float d_cam = point_plane_projection_dist(cam, pos, N); - float d_hit = point_plane_projection_dist(hit, pos, N); + float d_cam = point_plane_projection_dist(cam, pos, N); + float d_hit = point_plane_projection_dist(hit, pos, N); - if (d_hit < d_cam) { - /* Swap */ - float tmp = d_cam; - d_cam = d_hit; - d_hit = tmp; - } + if (d_hit < d_cam) { + /* Swap */ + float tmp = d_cam; + d_cam = d_hit; + d_hit = tmp; + } - vec3 proj_cam = cam - (N * d_cam); - vec3 proj_hit = hit - (N * d_hit); + vec3 proj_cam = cam - (N * d_cam); + vec3 proj_hit = hit - (N * d_hit); - return (proj_hit - proj_cam) * d_cam / (d_cam + d_hit) + proj_cam; + return (proj_hit - proj_cam) * d_cam / (d_cam + d_hit) + proj_cam; } -#endif +# endif float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } vec2 get_reprojected_reflection(vec3 hit, vec3 pos, vec3 N) { - /* TODO real reprojection with motion vectors, etc... */ - return project_point(pastViewProjectionMatrix, hit).xy * 0.5 + 0.5; + /* TODO real reprojection with motion vectors, etc... */ + return project_point(pastViewProjectionMatrix, hit).xy * 0.5 + 0.5; } float get_sample_depth(vec2 hit_co, bool is_planar, float planar_index) { - if (is_planar) { - hit_co.x = 1.0 - hit_co.x; - return textureLod(planarDepth, vec3(hit_co, planar_index), 0.0).r; - } - else { - return textureLod(depthBuffer, hit_co, 0.0).r; - } + if (is_planar) { + hit_co.x = 1.0 - hit_co.x; + return textureLod(planarDepth, vec3(hit_co, planar_index), 0.0).r; + } + else { + return textureLod(depthBuffer, hit_co, 0.0).r; + } } -vec3 get_hit_vector( - vec3 hit_pos, PlanarData pd, vec3 worldPosition, vec3 N, vec3 V, bool is_planar, - inout vec2 hit_co, inout float mask) +vec3 get_hit_vector(vec3 hit_pos, + PlanarData pd, + vec3 worldPosition, + vec3 N, + vec3 V, + bool is_planar, + inout vec2 hit_co, + inout float mask) { - vec3 hit_vec; - - if (is_planar) { - /* Reflect back the hit position to have it in non-reflected world space */ - vec3 trace_pos = line_plane_intersect(worldPosition, V, pd.pl_plane_eq); - hit_vec = hit_pos - trace_pos; - hit_vec = reflect(hit_vec, pd.pl_normal); - /* Modify here so mip texel alignment is correct. */ - hit_co.x = 1.0 - hit_co.x; - } - else { - /* Find hit position in previous frame. */ - hit_co = get_reprojected_reflection(hit_pos, worldPosition, N); - hit_vec = hit_pos - worldPosition; - } - - mask = screen_border_mask(hit_co); - return hit_vec; + vec3 hit_vec; + + if (is_planar) { + /* Reflect back the hit position to have it in non-reflected world space */ + vec3 trace_pos = line_plane_intersect(worldPosition, V, pd.pl_plane_eq); + hit_vec = hit_pos - trace_pos; + hit_vec = reflect(hit_vec, pd.pl_normal); + /* Modify here so mip texel alignment is correct. */ + hit_co.x = 1.0 - hit_co.x; + } + else { + /* Find hit position in previous frame. */ + hit_co = get_reprojected_reflection(hit_pos, worldPosition, N); + hit_vec = hit_pos - worldPosition; + } + + mask = screen_border_mask(hit_co); + return hit_vec; } vec3 get_scene_color(vec2 ref_uvs, float mip, float planar_index, bool is_planar) { - if (is_planar) { - return textureLod(probePlanars, vec3(ref_uvs, planar_index), min(mip, prbLodPlanarMax)).rgb; - } - else { - return textureLod(prevColorBuffer, ref_uvs, mip).rgb; - } + if (is_planar) { + return textureLod(probePlanars, vec3(ref_uvs, planar_index), min(mip, prbLodPlanarMax)).rgb; + } + else { + return textureLod(prevColorBuffer, ref_uvs, mip).rgb; + } } -vec4 get_ssr_samples( - vec4 hit_pdf, ivec4 hit_data[2], - PlanarData pd, float planar_index, vec3 worldPosition, vec3 N, vec3 V, - float roughnessSquared, float cone_tan, vec2 source_uvs, - inout float weight_acc) +vec4 get_ssr_samples(vec4 hit_pdf, + ivec4 hit_data[2], + PlanarData pd, + float planar_index, + vec3 worldPosition, + vec3 N, + vec3 V, + float roughnessSquared, + float cone_tan, + vec2 source_uvs, + inout float weight_acc) { - bvec4 is_planar, has_hit; - vec4 hit_co[2]; - hit_co[0].xy = decode_hit_data(hit_data[0].xy, has_hit.x, is_planar.x); - hit_co[0].zw = decode_hit_data(hit_data[0].zw, has_hit.y, is_planar.y); - hit_co[1].xy = decode_hit_data(hit_data[1].xy, has_hit.z, is_planar.z); - hit_co[1].zw = decode_hit_data(hit_data[1].zw, has_hit.w, is_planar.w); - - vec4 hit_depth; - hit_depth.x = get_sample_depth(hit_co[0].xy, is_planar.x, planar_index); - hit_depth.y = get_sample_depth(hit_co[0].zw, is_planar.y, planar_index); - hit_depth.z = get_sample_depth(hit_co[1].xy, is_planar.z, planar_index); - hit_depth.w = get_sample_depth(hit_co[1].zw, is_planar.w, planar_index); - - /* Hit position in view space. */ - vec3 hit_view[4]; - hit_view[0] = get_view_space_from_depth(hit_co[0].xy, hit_depth.x); - hit_view[1] = get_view_space_from_depth(hit_co[0].zw, hit_depth.y); - hit_view[2] = get_view_space_from_depth(hit_co[1].xy, hit_depth.z); - hit_view[3] = get_view_space_from_depth(hit_co[1].zw, hit_depth.w); - - vec4 homcoord = vec4(hit_view[0].z, hit_view[1].z, hit_view[2].z, hit_view[3].z); - homcoord = ProjectionMatrix[2][3] * homcoord + ProjectionMatrix[3][3]; - - /* Hit position in world space. */ - vec3 hit_pos[4]; - hit_pos[0] = transform_point(ViewMatrixInverse, hit_view[0]); - hit_pos[1] = transform_point(ViewMatrixInverse, hit_view[1]); - hit_pos[2] = transform_point(ViewMatrixInverse, hit_view[2]); - hit_pos[3] = transform_point(ViewMatrixInverse, hit_view[3]); - - /* Get actual hit vector and hit coordinate (from last frame). */ - vec4 mask = vec4(1.0); - hit_pos[0] = get_hit_vector(hit_pos[0], pd, worldPosition, N, V, is_planar.x, hit_co[0].xy, mask.x); - hit_pos[1] = get_hit_vector(hit_pos[1], pd, worldPosition, N, V, is_planar.y, hit_co[0].zw, mask.y); - hit_pos[2] = get_hit_vector(hit_pos[2], pd, worldPosition, N, V, is_planar.z, hit_co[1].xy, mask.z); - hit_pos[3] = get_hit_vector(hit_pos[3], pd, worldPosition, N, V, is_planar.w, hit_co[1].zw, mask.w); - - vec4 hit_dist; - hit_dist.x = length(hit_pos[0]); - hit_dist.y = length(hit_pos[1]); - hit_dist.z = length(hit_pos[2]); - hit_dist.w = length(hit_pos[3]); - hit_dist = max(vec4(1e-8), hit_dist); - - /* Normalize */ - hit_pos[0] /= hit_dist.x; - hit_pos[1] /= hit_dist.y; - hit_pos[2] /= hit_dist.z; - hit_pos[3] /= hit_dist.w; - - /* Compute cone footprint in screen space. */ - vec4 cone_footprint = hit_dist * cone_tan; - cone_footprint = ssrBrdfBias * 0.5 * cone_footprint * max(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) / homcoord; - - /* Estimate a cone footprint to sample a corresponding mipmap level. */ - vec4 mip = log2(cone_footprint * max_v2(vec2(textureSize(depthBuffer, 0)))); - mip = clamp(mip, 0.0, MAX_MIP); - - /* Correct UVs for mipmaping mis-alignment */ - hit_co[0].xy *= mip_ratio_interp(mip.x); - hit_co[0].zw *= mip_ratio_interp(mip.y); - hit_co[1].xy *= mip_ratio_interp(mip.z); - hit_co[1].zw *= mip_ratio_interp(mip.w); - - /* Slide 54 */ - vec4 bsdf; - bsdf.x = bsdf_ggx(N, hit_pos[0], V, roughnessSquared); - bsdf.y = bsdf_ggx(N, hit_pos[1], V, roughnessSquared); - bsdf.z = bsdf_ggx(N, hit_pos[2], V, roughnessSquared); - bsdf.w = bsdf_ggx(N, hit_pos[3], V, roughnessSquared); - - vec4 weight = step(1e-8, hit_pdf) * bsdf / max(vec4(1e-8), hit_pdf); - - vec3 sample[4]; - sample[0] = get_scene_color(hit_co[0].xy, mip.x, planar_index, is_planar.x); - sample[1] = get_scene_color(hit_co[0].zw, mip.y, planar_index, is_planar.y); - sample[2] = get_scene_color(hit_co[1].xy, mip.z, planar_index, is_planar.z); - sample[3] = get_scene_color(hit_co[1].zw, mip.w, planar_index, is_planar.w); - - /* Clamped brightness. */ - vec4 luma; - luma.x = brightness(sample[0]); - luma.y = brightness(sample[1]); - luma.z = brightness(sample[2]); - luma.w = brightness(sample[3]); - luma = max(vec4(1e-8), luma); - luma = 1.0 - max(vec4(0.0), luma - ssrFireflyFac) / luma; - - sample[0] *= luma.x; - sample[1] *= luma.y; - sample[2] *= luma.z; - sample[3] *= luma.w; - - /* Protection against NaNs in the history buffer. - * This could be removed if some previous pass has already - * sanitized the input. */ - if (any(isnan(sample[0]))) { - sample[0] = vec3(0.0); weight.x = 0.0; - } - if (any(isnan(sample[1]))) { - sample[1] = vec3(0.0); weight.y = 0.0; - } - if (any(isnan(sample[2]))) { - sample[2] = vec3(0.0); weight.z = 0.0; - } - if (any(isnan(sample[3]))) { - sample[3] = vec3(0.0); weight.w = 0.0; - } - - weight_acc += sum(weight); - - /* Do not add light if ray has failed. */ - vec4 accum; - accum = vec4(sample[0], mask.x) * weight.x * float(has_hit.x); - accum += vec4(sample[1], mask.y) * weight.y * float(has_hit.y); - accum += vec4(sample[2], mask.z) * weight.z * float(has_hit.z); - accum += vec4(sample[3], mask.w) * weight.w * float(has_hit.w); - return accum; + bvec4 is_planar, has_hit; + vec4 hit_co[2]; + hit_co[0].xy = decode_hit_data(hit_data[0].xy, has_hit.x, is_planar.x); + hit_co[0].zw = decode_hit_data(hit_data[0].zw, has_hit.y, is_planar.y); + hit_co[1].xy = decode_hit_data(hit_data[1].xy, has_hit.z, is_planar.z); + hit_co[1].zw = decode_hit_data(hit_data[1].zw, has_hit.w, is_planar.w); + + vec4 hit_depth; + hit_depth.x = get_sample_depth(hit_co[0].xy, is_planar.x, planar_index); + hit_depth.y = get_sample_depth(hit_co[0].zw, is_planar.y, planar_index); + hit_depth.z = get_sample_depth(hit_co[1].xy, is_planar.z, planar_index); + hit_depth.w = get_sample_depth(hit_co[1].zw, is_planar.w, planar_index); + + /* Hit position in view space. */ + vec3 hit_view[4]; + hit_view[0] = get_view_space_from_depth(hit_co[0].xy, hit_depth.x); + hit_view[1] = get_view_space_from_depth(hit_co[0].zw, hit_depth.y); + hit_view[2] = get_view_space_from_depth(hit_co[1].xy, hit_depth.z); + hit_view[3] = get_view_space_from_depth(hit_co[1].zw, hit_depth.w); + + vec4 homcoord = vec4(hit_view[0].z, hit_view[1].z, hit_view[2].z, hit_view[3].z); + homcoord = ProjectionMatrix[2][3] * homcoord + ProjectionMatrix[3][3]; + + /* Hit position in world space. */ + vec3 hit_pos[4]; + hit_pos[0] = transform_point(ViewMatrixInverse, hit_view[0]); + hit_pos[1] = transform_point(ViewMatrixInverse, hit_view[1]); + hit_pos[2] = transform_point(ViewMatrixInverse, hit_view[2]); + hit_pos[3] = transform_point(ViewMatrixInverse, hit_view[3]); + + /* Get actual hit vector and hit coordinate (from last frame). */ + vec4 mask = vec4(1.0); + hit_pos[0] = get_hit_vector( + hit_pos[0], pd, worldPosition, N, V, is_planar.x, hit_co[0].xy, mask.x); + hit_pos[1] = get_hit_vector( + hit_pos[1], pd, worldPosition, N, V, is_planar.y, hit_co[0].zw, mask.y); + hit_pos[2] = get_hit_vector( + hit_pos[2], pd, worldPosition, N, V, is_planar.z, hit_co[1].xy, mask.z); + hit_pos[3] = get_hit_vector( + hit_pos[3], pd, worldPosition, N, V, is_planar.w, hit_co[1].zw, mask.w); + + vec4 hit_dist; + hit_dist.x = length(hit_pos[0]); + hit_dist.y = length(hit_pos[1]); + hit_dist.z = length(hit_pos[2]); + hit_dist.w = length(hit_pos[3]); + hit_dist = max(vec4(1e-8), hit_dist); + + /* Normalize */ + hit_pos[0] /= hit_dist.x; + hit_pos[1] /= hit_dist.y; + hit_pos[2] /= hit_dist.z; + hit_pos[3] /= hit_dist.w; + + /* Compute cone footprint in screen space. */ + vec4 cone_footprint = hit_dist * cone_tan; + cone_footprint = ssrBrdfBias * 0.5 * cone_footprint * + max(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) / homcoord; + + /* Estimate a cone footprint to sample a corresponding mipmap level. */ + vec4 mip = log2(cone_footprint * max_v2(vec2(textureSize(depthBuffer, 0)))); + mip = clamp(mip, 0.0, MAX_MIP); + + /* Correct UVs for mipmaping mis-alignment */ + hit_co[0].xy *= mip_ratio_interp(mip.x); + hit_co[0].zw *= mip_ratio_interp(mip.y); + hit_co[1].xy *= mip_ratio_interp(mip.z); + hit_co[1].zw *= mip_ratio_interp(mip.w); + + /* Slide 54 */ + vec4 bsdf; + bsdf.x = bsdf_ggx(N, hit_pos[0], V, roughnessSquared); + bsdf.y = bsdf_ggx(N, hit_pos[1], V, roughnessSquared); + bsdf.z = bsdf_ggx(N, hit_pos[2], V, roughnessSquared); + bsdf.w = bsdf_ggx(N, hit_pos[3], V, roughnessSquared); + + vec4 weight = step(1e-8, hit_pdf) * bsdf / max(vec4(1e-8), hit_pdf); + + vec3 sample[4]; + sample[0] = get_scene_color(hit_co[0].xy, mip.x, planar_index, is_planar.x); + sample[1] = get_scene_color(hit_co[0].zw, mip.y, planar_index, is_planar.y); + sample[2] = get_scene_color(hit_co[1].xy, mip.z, planar_index, is_planar.z); + sample[3] = get_scene_color(hit_co[1].zw, mip.w, planar_index, is_planar.w); + + /* Clamped brightness. */ + vec4 luma; + luma.x = brightness(sample[0]); + luma.y = brightness(sample[1]); + luma.z = brightness(sample[2]); + luma.w = brightness(sample[3]); + luma = max(vec4(1e-8), luma); + luma = 1.0 - max(vec4(0.0), luma - ssrFireflyFac) / luma; + + sample[0] *= luma.x; + sample[1] *= luma.y; + sample[2] *= luma.z; + sample[3] *= luma.w; + + /* Protection against NaNs in the history buffer. + * This could be removed if some previous pass has already + * sanitized the input. */ + if (any(isnan(sample[0]))) { + sample[0] = vec3(0.0); + weight.x = 0.0; + } + if (any(isnan(sample[1]))) { + sample[1] = vec3(0.0); + weight.y = 0.0; + } + if (any(isnan(sample[2]))) { + sample[2] = vec3(0.0); + weight.z = 0.0; + } + if (any(isnan(sample[3]))) { + sample[3] = vec3(0.0); + weight.w = 0.0; + } + + weight_acc += sum(weight); + + /* Do not add light if ray has failed. */ + vec4 accum; + accum = vec4(sample[0], mask.x) * weight.x * float(has_hit.x); + accum += vec4(sample[1], mask.y) * weight.y * float(has_hit.y); + accum += vec4(sample[2], mask.z) * weight.z * float(has_hit.z); + accum += vec4(sample[3], mask.w) * weight.w * float(has_hit.w); + return accum; } void main() { - ivec2 fullres_texel = ivec2(gl_FragCoord.xy); -#ifdef FULLRES - ivec2 halfres_texel = fullres_texel; -#else - ivec2 halfres_texel = ivec2(gl_FragCoord.xy / 2.0); -#endif - vec2 uvs = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0)); - - float depth = textureLod(depthBuffer, uvs, 0.0).r; - - /* Early out */ - if (depth == 1.0) { - discard; - } - - /* Using world space */ - vec3 viewPosition = get_view_space_from_depth(uvs, depth); /* Needed for viewCameraVec */ - vec3 worldPosition = transform_point(ViewMatrixInverse, viewPosition); - vec3 V = cameraVec; - vec3 vN = normal_decode(texelFetch(normalBuffer, fullres_texel, 0).rg, viewCameraVec); - vec3 N = transform_direction(ViewMatrixInverse, vN); - vec4 speccol_roughness = texelFetch(specroughBuffer, fullres_texel, 0).rgba; - - /* Early out */ - if (dot(speccol_roughness.rgb, vec3(1.0)) == 0.0) { - discard; - } - - float roughness = speccol_roughness.a; - float roughnessSquared = max(1e-3, roughness * roughness); - - vec4 spec_accum = vec4(0.0); - - /* Resolve SSR */ - float cone_cos = cone_cosine(roughnessSquared); - float cone_tan = sqrt(1 - cone_cos * cone_cos) / cone_cos; - cone_tan *= mix(saturate(dot(N, -V) * 2.0), 1.0, roughness); /* Elongation fit */ - - vec2 source_uvs = project_point(pastViewProjectionMatrix, worldPosition).xy * 0.5 + 0.5; - - vec4 ssr_accum = vec4(0.0); - float weight_acc = 0.0; - - if (roughness < ssrMaxRoughness + 0.2) { - /* TODO optimize with textureGather */ - /* Doing these fetches early to hide latency. */ - vec4 hit_pdf; - hit_pdf.x = texelFetch(pdfBuffer, halfres_texel + neighbors[0 + neighborOffset], 0).r; - hit_pdf.y = texelFetch(pdfBuffer, halfres_texel + neighbors[1 + neighborOffset], 0).r; - hit_pdf.z = texelFetch(pdfBuffer, halfres_texel + neighbors[2 + neighborOffset], 0).r; - hit_pdf.w = texelFetch(pdfBuffer, halfres_texel + neighbors[3 + neighborOffset], 0).r; - - ivec4 hit_data[2]; - hit_data[0].xy = texelFetch(hitBuffer, halfres_texel + neighbors[0 + neighborOffset], 0).rg; - hit_data[0].zw = texelFetch(hitBuffer, halfres_texel + neighbors[1 + neighborOffset], 0).rg; - hit_data[1].xy = texelFetch(hitBuffer, halfres_texel + neighbors[2 + neighborOffset], 0).rg; - hit_data[1].zw = texelFetch(hitBuffer, halfres_texel + neighbors[3 + neighborOffset], 0).rg; - - /* Find Planar Reflections affecting this pixel */ - PlanarData pd; - float planar_index; - for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar; ++i) { - pd = planars_data[i]; - - float fade = probe_attenuation_planar(pd, worldPosition, N, 0.0); - - if (fade > 0.5) { - planar_index = float(i); - break; - } - } - - ssr_accum += get_ssr_samples(hit_pdf, hit_data, pd, planar_index, worldPosition, N, V, - roughnessSquared, cone_tan, source_uvs, weight_acc); - } - - /* Compute SSR contribution */ - if (weight_acc > 0.0) { - ssr_accum /= weight_acc; - /* fade between 0.5 and 1.0 roughness */ - ssr_accum.a *= smoothstep(ssrMaxRoughness + 0.2, ssrMaxRoughness, roughness); - accumulate_light(ssr_accum.rgb, ssr_accum.a, spec_accum); - } - - /* If SSR contribution is not 1.0, blend with cubemaps */ - if (spec_accum.a < 1.0) { - fallback_cubemap(N, V, worldPosition, viewPosition, roughness, roughnessSquared, spec_accum); - } - - fragColor = vec4(spec_accum.rgb * speccol_roughness.rgb, 1.0); + ivec2 fullres_texel = ivec2(gl_FragCoord.xy); +# ifdef FULLRES + ivec2 halfres_texel = fullres_texel; +# else + ivec2 halfres_texel = ivec2(gl_FragCoord.xy / 2.0); +# endif + vec2 uvs = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0)); + + float depth = textureLod(depthBuffer, uvs, 0.0).r; + + /* Early out */ + if (depth == 1.0) { + discard; + } + + /* Using world space */ + vec3 viewPosition = get_view_space_from_depth(uvs, depth); /* Needed for viewCameraVec */ + vec3 worldPosition = transform_point(ViewMatrixInverse, viewPosition); + vec3 V = cameraVec; + vec3 vN = normal_decode(texelFetch(normalBuffer, fullres_texel, 0).rg, viewCameraVec); + vec3 N = transform_direction(ViewMatrixInverse, vN); + vec4 speccol_roughness = texelFetch(specroughBuffer, fullres_texel, 0).rgba; + + /* Early out */ + if (dot(speccol_roughness.rgb, vec3(1.0)) == 0.0) { + discard; + } + + float roughness = speccol_roughness.a; + float roughnessSquared = max(1e-3, roughness * roughness); + + vec4 spec_accum = vec4(0.0); + + /* Resolve SSR */ + float cone_cos = cone_cosine(roughnessSquared); + float cone_tan = sqrt(1 - cone_cos * cone_cos) / cone_cos; + cone_tan *= mix(saturate(dot(N, -V) * 2.0), 1.0, roughness); /* Elongation fit */ + + vec2 source_uvs = project_point(pastViewProjectionMatrix, worldPosition).xy * 0.5 + 0.5; + + vec4 ssr_accum = vec4(0.0); + float weight_acc = 0.0; + + if (roughness < ssrMaxRoughness + 0.2) { + /* TODO optimize with textureGather */ + /* Doing these fetches early to hide latency. */ + vec4 hit_pdf; + hit_pdf.x = texelFetch(pdfBuffer, halfres_texel + neighbors[0 + neighborOffset], 0).r; + hit_pdf.y = texelFetch(pdfBuffer, halfres_texel + neighbors[1 + neighborOffset], 0).r; + hit_pdf.z = texelFetch(pdfBuffer, halfres_texel + neighbors[2 + neighborOffset], 0).r; + hit_pdf.w = texelFetch(pdfBuffer, halfres_texel + neighbors[3 + neighborOffset], 0).r; + + ivec4 hit_data[2]; + hit_data[0].xy = texelFetch(hitBuffer, halfres_texel + neighbors[0 + neighborOffset], 0).rg; + hit_data[0].zw = texelFetch(hitBuffer, halfres_texel + neighbors[1 + neighborOffset], 0).rg; + hit_data[1].xy = texelFetch(hitBuffer, halfres_texel + neighbors[2 + neighborOffset], 0).rg; + hit_data[1].zw = texelFetch(hitBuffer, halfres_texel + neighbors[3 + neighborOffset], 0).rg; + + /* Find Planar Reflections affecting this pixel */ + PlanarData pd; + float planar_index; + for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar; ++i) { + pd = planars_data[i]; + + float fade = probe_attenuation_planar(pd, worldPosition, N, 0.0); + + if (fade > 0.5) { + planar_index = float(i); + break; + } + } + + ssr_accum += get_ssr_samples(hit_pdf, + hit_data, + pd, + planar_index, + worldPosition, + N, + V, + roughnessSquared, + cone_tan, + source_uvs, + weight_acc); + } + + /* Compute SSR contribution */ + if (weight_acc > 0.0) { + ssr_accum /= weight_acc; + /* fade between 0.5 and 1.0 roughness */ + ssr_accum.a *= smoothstep(ssrMaxRoughness + 0.2, ssrMaxRoughness, roughness); + accumulate_light(ssr_accum.rgb, ssr_accum.a, spec_accum); + } + + /* If SSR contribution is not 1.0, blend with cubemaps */ + if (spec_accum.a < 1.0) { + fallback_cubemap(N, V, worldPosition, viewPosition, roughness, roughnessSquared, spec_accum); + } + + fragColor = vec4(spec_accum.rgb * speccol_roughness.rgb, 1.0); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/effect_subsurface_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_subsurface_frag.glsl index 5ecf6323255..4260c601543 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_subsurface_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_subsurface_frag.glsl @@ -2,10 +2,11 @@ /* Based on Separable SSS. by Jorge Jimenez and Diego Gutierrez */ #define MAX_SSS_SAMPLES 65 -layout(std140) uniform sssProfile { - vec4 kernel[MAX_SSS_SAMPLES]; - vec4 radii_max_radius; - int sss_samples; +layout(std140) uniform sssProfile +{ + vec4 kernel[MAX_SSS_SAMPLES]; + vec4 radii_max_radius; + int sss_samples; }; uniform sampler2D depthBuffer; @@ -13,9 +14,9 @@ uniform sampler2D sssData; uniform sampler2D sssAlbedo; #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ layout(location = 0) out vec4 FragColor; @@ -25,75 +26,76 @@ layout(location = 1) out vec4 sssColor; float get_view_z_from_depth(float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - float d = 2.0 * depth - 1.0; - return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); - } - else { - return viewVecs[0].z + depth * viewVecs[1].z; - } + if (ProjectionMatrix[3][3] == 0.0) { + float d = 2.0 * depth - 1.0; + return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); + } + else { + return viewVecs[0].z + depth * viewVecs[1].z; + } } #define LUT_SIZE 64 -#define M_PI_2 1.5707963267948966 /* pi/2 */ -#define M_2PI 6.2831853071795865 /* 2*pi */ +#define M_PI_2 1.5707963267948966 /* pi/2 */ +#define M_2PI 6.2831853071795865 /* 2*pi */ void main(void) { - vec2 pixel_size = 1.0 / vec2(textureSize(depthBuffer, 0).xy); /* TODO precompute */ - vec2 uvs = gl_FragCoord.xy * pixel_size; - vec4 sss_data = texture(sssData, uvs).rgba; - float depth_view = get_view_z_from_depth(texture(depthBuffer, uvs).r); + vec2 pixel_size = 1.0 / vec2(textureSize(depthBuffer, 0).xy); /* TODO precompute */ + vec2 uvs = gl_FragCoord.xy * pixel_size; + vec4 sss_data = texture(sssData, uvs).rgba; + float depth_view = get_view_z_from_depth(texture(depthBuffer, uvs).r); - float rand = texelfetch_noise_tex(gl_FragCoord.xy).r; + float rand = texelfetch_noise_tex(gl_FragCoord.xy).r; #ifdef FIRST_PASS - float angle = M_2PI * rand + M_PI_2; - vec2 dir = vec2(1.0, 0.0); + float angle = M_2PI * rand + M_PI_2; + vec2 dir = vec2(1.0, 0.0); #else /* SECOND_PASS */ - float angle = M_2PI * rand; - vec2 dir = vec2(0.0, 1.0); + float angle = M_2PI * rand; + vec2 dir = vec2(0.0, 1.0); #endif - vec2 dir_rand = vec2(cos(angle), sin(angle)); + vec2 dir_rand = vec2(cos(angle), sin(angle)); - /* Compute kernel bounds in 2D. */ - float homcoord = ProjectionMatrix[2][3] * depth_view + ProjectionMatrix[3][3]; - vec2 scale = vec2(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * sss_data.aa / homcoord; - vec2 finalStep = scale * radii_max_radius.w; - finalStep *= 0.5; /* samples range -1..1 */ + /* Compute kernel bounds in 2D. */ + float homcoord = ProjectionMatrix[2][3] * depth_view + ProjectionMatrix[3][3]; + vec2 scale = vec2(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * sss_data.aa / homcoord; + vec2 finalStep = scale * radii_max_radius.w; + finalStep *= 0.5; /* samples range -1..1 */ - /* Center sample */ - vec3 accum = sss_data.rgb * kernel[0].rgb; + /* Center sample */ + vec3 accum = sss_data.rgb * kernel[0].rgb; - for (int i = 1; i < sss_samples && i < MAX_SSS_SAMPLES; i++) { - vec2 sample_uv = uvs + kernel[i].a * finalStep * ((abs(kernel[i].a) > sssJitterThreshold) ? dir : dir_rand); - vec3 color = texture(sssData, sample_uv).rgb; - float sample_depth = texture(depthBuffer, sample_uv).r; - sample_depth = get_view_z_from_depth(sample_depth); + for (int i = 1; i < sss_samples && i < MAX_SSS_SAMPLES; i++) { + vec2 sample_uv = uvs + kernel[i].a * finalStep * + ((abs(kernel[i].a) > sssJitterThreshold) ? dir : dir_rand); + vec3 color = texture(sssData, sample_uv).rgb; + float sample_depth = texture(depthBuffer, sample_uv).r; + sample_depth = get_view_z_from_depth(sample_depth); - /* Depth correction factor. */ - float depth_delta = depth_view - sample_depth; - float s = clamp(1.0 - exp(-(depth_delta * depth_delta) / (2.0 * sss_data.a)), 0.0, 1.0); + /* Depth correction factor. */ + float depth_delta = depth_view - sample_depth; + float s = clamp(1.0 - exp(-(depth_delta * depth_delta) / (2.0 * sss_data.a)), 0.0, 1.0); - /* Out of view samples. */ - if (any(lessThan(sample_uv, vec2(0.0))) || any(greaterThan(sample_uv, vec2(1.0)))) { - s = 1.0; - } + /* Out of view samples. */ + if (any(lessThan(sample_uv, vec2(0.0))) || any(greaterThan(sample_uv, vec2(1.0)))) { + s = 1.0; + } - accum += kernel[i].rgb * mix(color, sss_data.rgb, s); - } + accum += kernel[i].rgb * mix(color, sss_data.rgb, s); + } #ifdef FIRST_PASS - FragColor = vec4(accum, sss_data.a); + FragColor = vec4(accum, sss_data.a); #else /* SECOND_PASS */ -# ifdef USE_SEP_ALBEDO -# ifdef RESULT_ACCUM - FragColor = vec4(accum, 1.0); - sssColor = texture(sssAlbedo, uvs); +# ifdef USE_SEP_ALBEDO +# ifdef RESULT_ACCUM + FragColor = vec4(accum, 1.0); + sssColor = texture(sssAlbedo, uvs); +# else + FragColor = vec4(accum * texture(sssAlbedo, uvs).rgb, 1.0); +# endif # else - FragColor = vec4(accum * texture(sssAlbedo, uvs).rgb, 1.0); + FragColor = vec4(accum, 1.0); # endif -# else - FragColor = vec4(accum, 1.0); -# endif #endif } diff --git a/source/blender/draw/engines/eevee/shaders/effect_temporal_aa.glsl b/source/blender/draw/engines/eevee/shaders/effect_temporal_aa.glsl index e118777f6c8..3ec695fcdbc 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_temporal_aa.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_temporal_aa.glsl @@ -6,8 +6,8 @@ out vec4 FragColor; vec4 safe_color(vec4 c) { - /* Clamp to avoid black square artifacts if a pixel goes NaN. */ - return clamp(c, vec4(0.0), vec4(1e20)); /* 1e20 arbitrary. */ + /* Clamp to avoid black square artifacts if a pixel goes NaN. */ + return clamp(c, vec4(0.0), vec4(1e20)); /* 1e20 arbitrary. */ } #ifdef USE_REPROJECTION @@ -23,13 +23,13 @@ vec4 safe_color(vec4 c) */ vec3 clip_to_aabb(vec3 color, vec3 minimum, vec3 maximum, vec3 average) { - /* note: only clips towards aabb center (but fast!) */ - vec3 center = 0.5 * (maximum + minimum); - vec3 extents = 0.5 * (maximum - minimum); - vec3 dist = color - center; - vec3 ts = abs(extents) / max(abs(dist), vec3(0.0001)); - float t = saturate(min_v3(ts)); - return center + dist * t; + /* note: only clips towards aabb center (but fast!) */ + vec3 center = 0.5 * (maximum + minimum); + vec3 extents = 0.5 * (maximum - minimum); + vec3 dist = color - center; + vec3 ts = abs(extents) / max(abs(dist), vec3(0.0001)); + float t = saturate(min_v3(ts)); + return center + dist * t; } /** @@ -37,64 +37,64 @@ vec3 clip_to_aabb(vec3 color, vec3 minimum, vec3 maximum, vec3 average) */ void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); - float depth = texelFetch(depthBuffer, texel, 0).r; - vec2 motion = texelFetch(velocityBuffer, texel, 0).rg; - - /* Decode from unsigned normalized 16bit texture. */ - motion = motion * 2.0 - 1.0; - - /* Compute pixel position in previous frame. */ - vec2 screen_res = vec2(textureSize(colorBuffer, 0).xy); - vec2 uv = gl_FragCoord.xy / screen_res; - vec2 uv_history = uv - motion; - - ivec2 texel_history = ivec2(uv_history * screen_res); - vec4 color_history = textureLod(colorHistoryBuffer, uv_history, 0.0); - - /* Color bounding box clamping. 3x3 neighborhood. */ - vec4 c02 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, 1)); - vec4 c12 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 0, 1)); - vec4 c22 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 1, 1)); - vec4 c01 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, 0)); - vec4 c11 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 0, 0)); - vec4 c21 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 1, 0)); - vec4 c00 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, -1)); - vec4 c10 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 0, -1)); - vec4 c20 = texelFetchOffset(colorBuffer, texel, 0, ivec2( 1, -1)); - - vec4 color = c11; - - /* AABB minmax */ - vec4 min_col = min9(c02, c12, c22, c01, c11, c21, c00, c10, c20); - vec4 max_col = max9(c02, c12, c22, c01, c11, c21, c00, c10, c20); - vec4 avg_col = avg9(c02, c12, c22, c01, c11, c21, c00, c10, c20); - - /* bias the color aabb toward the center (rounding the shape) */ - vec4 min_center = min5(c12, c01, c11, c21, c10); - vec4 max_center = max5(c12, c01, c11, c21, c10); - vec4 avg_center = avg5(c12, c01, c11, c21, c10); - min_col = (min_col + min_center) * 0.5; - max_col = (max_col + max_center) * 0.5; - avg_col = (avg_col + avg_center) * 0.5; - - /* Clip color toward the center of the neighborhood colors AABB box. */ - color_history.rgb = clip_to_aabb(color_history.rgb, min_col.rgb, max_col.rgb, avg_col.rgb); - - /* Luminance weighting. */ - /* TODO correct luminance */ - float lum0 = dot(color.rgb, vec3(0.333)); - float lum1 = dot(color_history.rgb, vec3(0.333)); - float diff = abs(lum0 - lum1) / max(lum0, max(lum1, 0.2)); - float weight = 1.0 - diff; - float alpha = mix(0.04, 0.12, weight * weight); - - color_history = mix(color_history, color, alpha); - - bool out_of_view = any(greaterThanEqual(abs(uv_history - 0.5), vec2(0.5))); - color_history = (out_of_view) ? color : color_history; - - FragColor = safe_color(color_history); + ivec2 texel = ivec2(gl_FragCoord.xy); + float depth = texelFetch(depthBuffer, texel, 0).r; + vec2 motion = texelFetch(velocityBuffer, texel, 0).rg; + + /* Decode from unsigned normalized 16bit texture. */ + motion = motion * 2.0 - 1.0; + + /* Compute pixel position in previous frame. */ + vec2 screen_res = vec2(textureSize(colorBuffer, 0).xy); + vec2 uv = gl_FragCoord.xy / screen_res; + vec2 uv_history = uv - motion; + + ivec2 texel_history = ivec2(uv_history * screen_res); + vec4 color_history = textureLod(colorHistoryBuffer, uv_history, 0.0); + + /* Color bounding box clamping. 3x3 neighborhood. */ + vec4 c02 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, 1)); + vec4 c12 = texelFetchOffset(colorBuffer, texel, 0, ivec2(0, 1)); + vec4 c22 = texelFetchOffset(colorBuffer, texel, 0, ivec2(1, 1)); + vec4 c01 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, 0)); + vec4 c11 = texelFetchOffset(colorBuffer, texel, 0, ivec2(0, 0)); + vec4 c21 = texelFetchOffset(colorBuffer, texel, 0, ivec2(1, 0)); + vec4 c00 = texelFetchOffset(colorBuffer, texel, 0, ivec2(-1, -1)); + vec4 c10 = texelFetchOffset(colorBuffer, texel, 0, ivec2(0, -1)); + vec4 c20 = texelFetchOffset(colorBuffer, texel, 0, ivec2(1, -1)); + + vec4 color = c11; + + /* AABB minmax */ + vec4 min_col = min9(c02, c12, c22, c01, c11, c21, c00, c10, c20); + vec4 max_col = max9(c02, c12, c22, c01, c11, c21, c00, c10, c20); + vec4 avg_col = avg9(c02, c12, c22, c01, c11, c21, c00, c10, c20); + + /* bias the color aabb toward the center (rounding the shape) */ + vec4 min_center = min5(c12, c01, c11, c21, c10); + vec4 max_center = max5(c12, c01, c11, c21, c10); + vec4 avg_center = avg5(c12, c01, c11, c21, c10); + min_col = (min_col + min_center) * 0.5; + max_col = (max_col + max_center) * 0.5; + avg_col = (avg_col + avg_center) * 0.5; + + /* Clip color toward the center of the neighborhood colors AABB box. */ + color_history.rgb = clip_to_aabb(color_history.rgb, min_col.rgb, max_col.rgb, avg_col.rgb); + + /* Luminance weighting. */ + /* TODO correct luminance */ + float lum0 = dot(color.rgb, vec3(0.333)); + float lum1 = dot(color_history.rgb, vec3(0.333)); + float diff = abs(lum0 - lum1) / max(lum0, max(lum1, 0.2)); + float weight = 1.0 - diff; + float alpha = mix(0.04, 0.12, weight * weight); + + color_history = mix(color_history, color, alpha); + + bool out_of_view = any(greaterThanEqual(abs(uv_history - 0.5), vec2(0.5))); + color_history = (out_of_view) ? color : color_history; + + FragColor = safe_color(color_history); } #else @@ -103,9 +103,9 @@ uniform float alpha; void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); - vec4 color = texelFetch(colorBuffer, texel, 0); - vec4 color_history = texelFetch(colorHistoryBuffer, texel, 0); - FragColor = safe_color(mix(color_history, color, alpha)); + ivec2 texel = ivec2(gl_FragCoord.xy); + vec4 color = texelFetch(colorBuffer, texel, 0); + vec4 color_history = texelFetch(colorHistoryBuffer, texel, 0); + FragColor = safe_color(mix(color_history, color, alpha)); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/effect_velocity_resolve_frag.glsl b/source/blender/draw/engines/eevee/shaders/effect_velocity_resolve_frag.glsl index 8324c25225c..b9e038ceeaf 100644 --- a/source/blender/draw/engines/eevee/shaders/effect_velocity_resolve_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/effect_velocity_resolve_frag.glsl @@ -6,17 +6,17 @@ out vec2 outData; void main() { - /* Extract pixel motion vector from camera movement. */ - ivec2 texel = ivec2(gl_FragCoord.xy); - vec2 uv = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0).xy); + /* Extract pixel motion vector from camera movement. */ + ivec2 texel = ivec2(gl_FragCoord.xy); + vec2 uv = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0).xy); - float depth = texelFetch(depthBuffer, texel, 0).r; + float depth = texelFetch(depthBuffer, texel, 0).r; - vec3 world_position = project_point(currPersinv, vec3(uv, depth) * 2.0 - 1.0); - vec2 uv_history = project_point(pastPersmat, world_position).xy * 0.5 + 0.5; + vec3 world_position = project_point(currPersinv, vec3(uv, depth) * 2.0 - 1.0); + vec2 uv_history = project_point(pastPersmat, world_position).xy * 0.5 + 0.5; - outData = uv - uv_history; + outData = uv - uv_history; - /* Encode to unsigned normalized 16bit texture. */ - outData = outData * 0.5 + 0.5; + /* Encode to unsigned normalized 16bit texture. */ + outData = outData * 0.5 + 0.5; } diff --git a/source/blender/draw/engines/eevee/shaders/irradiance_lib.glsl b/source/blender/draw/engines/eevee/shaders/irradiance_lib.glsl index 132cc16fcbd..b1d4de1c682 100644 --- a/source/blender/draw/engines/eevee/shaders/irradiance_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/irradiance_lib.glsl @@ -5,173 +5,176 @@ uniform sampler2DArray irradianceGrid; #ifdef IRRADIANCE_CUBEMAP struct IrradianceData { - vec3 color; + vec3 color; }; #elif defined(IRRADIANCE_SH_L2) struct IrradianceData { - vec3 shcoefs[9]; + vec3 shcoefs[9]; }; #else /* defined(IRRADIANCE_HL2) */ struct IrradianceData { - vec3 cubesides[3]; + vec3 cubesides[3]; }; #endif IrradianceData load_irradiance_cell(int cell, vec3 N) { - /* Keep in sync with diffuse_filter_probe() */ + /* Keep in sync with diffuse_filter_probe() */ #if defined(IRRADIANCE_CUBEMAP) - #define AMBIANT_CUBESIZE 8 - ivec2 cell_co = ivec2(AMBIANT_CUBESIZE); - int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; - cell_co.x *= cell % cell_per_row; - cell_co.y *= cell / cell_per_row; +# define AMBIANT_CUBESIZE 8 + ivec2 cell_co = ivec2(AMBIANT_CUBESIZE); + int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; + cell_co.x *= cell % cell_per_row; + cell_co.y *= cell / cell_per_row; - vec2 texelSize = 1.0 / vec2(AMBIANT_CUBESIZE); + vec2 texelSize = 1.0 / vec2(AMBIANT_CUBESIZE); - vec2 uvs = mapping_octahedron(N, texelSize); - uvs *= vec2(AMBIANT_CUBESIZE) / vec2(textureSize(irradianceGrid, 0)); - uvs += vec2(cell_co) / vec2(textureSize(irradianceGrid, 0)); + vec2 uvs = mapping_octahedron(N, texelSize); + uvs *= vec2(AMBIANT_CUBESIZE) / vec2(textureSize(irradianceGrid, 0)); + uvs += vec2(cell_co) / vec2(textureSize(irradianceGrid, 0)); - IrradianceData ir; - ir.color = texture(irradianceGrid, vec3(uvs, 0.0)).rgb; + IrradianceData ir; + ir.color = texture(irradianceGrid, vec3(uvs, 0.0)).rgb; #elif defined(IRRADIANCE_SH_L2) - ivec2 cell_co = ivec2(3, 3); - int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; - cell_co.x *= cell % cell_per_row; - cell_co.y *= cell / cell_per_row; + ivec2 cell_co = ivec2(3, 3); + int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; + cell_co.x *= cell % cell_per_row; + cell_co.y *= cell / cell_per_row; - ivec3 ofs = ivec3(0, 1, 2); + ivec3 ofs = ivec3(0, 1, 2); - IrradianceData ir; - ir.shcoefs[0] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xx, 0), 0).rgb; - ir.shcoefs[1] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yx, 0), 0).rgb; - ir.shcoefs[2] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zx, 0), 0).rgb; - ir.shcoefs[3] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xy, 0), 0).rgb; - ir.shcoefs[4] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yy, 0), 0).rgb; - ir.shcoefs[5] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zy, 0), 0).rgb; - ir.shcoefs[6] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xz, 0), 0).rgb; - ir.shcoefs[7] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yz, 0), 0).rgb; - ir.shcoefs[8] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zz, 0), 0).rgb; + IrradianceData ir; + ir.shcoefs[0] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xx, 0), 0).rgb; + ir.shcoefs[1] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yx, 0), 0).rgb; + ir.shcoefs[2] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zx, 0), 0).rgb; + ir.shcoefs[3] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xy, 0), 0).rgb; + ir.shcoefs[4] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yy, 0), 0).rgb; + ir.shcoefs[5] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zy, 0), 0).rgb; + ir.shcoefs[6] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.xz, 0), 0).rgb; + ir.shcoefs[7] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.yz, 0), 0).rgb; + ir.shcoefs[8] = texelFetch(irradianceGrid, ivec3(cell_co + ofs.zz, 0), 0).rgb; #else /* defined(IRRADIANCE_HL2) */ - ivec2 cell_co = ivec2(3, 2); - int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; - cell_co.x *= cell % cell_per_row; - cell_co.y *= cell / cell_per_row; + ivec2 cell_co = ivec2(3, 2); + int cell_per_row = textureSize(irradianceGrid, 0).x / cell_co.x; + cell_co.x *= cell % cell_per_row; + cell_co.y *= cell / cell_per_row; - ivec3 is_negative = ivec3(step(0.0, -N)); + ivec3 is_negative = ivec3(step(0.0, -N)); - IrradianceData ir; - ir.cubesides[0] = irradiance_decode(texelFetch(irradianceGrid, ivec3(cell_co + ivec2(0, is_negative.x), 0), 0)); - ir.cubesides[1] = irradiance_decode(texelFetch(irradianceGrid, ivec3(cell_co + ivec2(1, is_negative.y), 0), 0)); - ir.cubesides[2] = irradiance_decode(texelFetch(irradianceGrid, ivec3(cell_co + ivec2(2, is_negative.z), 0), 0)); + IrradianceData ir; + ir.cubesides[0] = irradiance_decode( + texelFetch(irradianceGrid, ivec3(cell_co + ivec2(0, is_negative.x), 0), 0)); + ir.cubesides[1] = irradiance_decode( + texelFetch(irradianceGrid, ivec3(cell_co + ivec2(1, is_negative.y), 0), 0)); + ir.cubesides[2] = irradiance_decode( + texelFetch(irradianceGrid, ivec3(cell_co + ivec2(2, is_negative.z), 0), 0)); #endif - return ir; + return ir; } float load_visibility_cell(int cell, vec3 L, float dist, float bias, float bleed_bias, float range) { - /* Keep in sync with diffuse_filter_probe() */ - ivec2 cell_co = ivec2(prbIrradianceVisSize); - ivec2 cell_per_row_col = textureSize(irradianceGrid, 0).xy / prbIrradianceVisSize; - cell_co.x *= (cell % cell_per_row_col.x); - cell_co.y *= (cell / cell_per_row_col.x) % cell_per_row_col.y; - float layer = 1.0 + float((cell / cell_per_row_col.x) / cell_per_row_col.y); + /* Keep in sync with diffuse_filter_probe() */ + ivec2 cell_co = ivec2(prbIrradianceVisSize); + ivec2 cell_per_row_col = textureSize(irradianceGrid, 0).xy / prbIrradianceVisSize; + cell_co.x *= (cell % cell_per_row_col.x); + cell_co.y *= (cell / cell_per_row_col.x) % cell_per_row_col.y; + float layer = 1.0 + float((cell / cell_per_row_col.x) / cell_per_row_col.y); - vec2 texel_size = 1.0 / vec2(textureSize(irradianceGrid, 0).xy); - vec2 co = vec2(cell_co) * texel_size; + vec2 texel_size = 1.0 / vec2(textureSize(irradianceGrid, 0).xy); + vec2 co = vec2(cell_co) * texel_size; - vec2 uv = mapping_octahedron(-L, vec2(1.0 / float(prbIrradianceVisSize))); - uv *= vec2(prbIrradianceVisSize) * texel_size; + vec2 uv = mapping_octahedron(-L, vec2(1.0 / float(prbIrradianceVisSize))); + uv *= vec2(prbIrradianceVisSize) * texel_size; - vec4 data = texture(irradianceGrid, vec3(co + uv, layer)); + vec4 data = texture(irradianceGrid, vec3(co + uv, layer)); - /* Decoding compressed data */ - vec2 moments = visibility_decode(data, range); + /* Decoding compressed data */ + vec2 moments = visibility_decode(data, range); - /* Doing chebishev test */ - float variance = abs(moments.x * moments.x - moments.y); - variance = max(variance, bias / 10.0); + /* Doing chebishev test */ + float variance = abs(moments.x * moments.x - moments.y); + variance = max(variance, bias / 10.0); - float d = dist - moments.x; - float p_max = variance / (variance + d * d); + float d = dist - moments.x; + float p_max = variance / (variance + d * d); - /* Increase contrast in the weight by squaring it */ - p_max *= p_max; + /* Increase contrast in the weight by squaring it */ + p_max *= p_max; - /* Now reduce light-bleeding by removing the [0, x] tail and linearly rescaling (x, 1] */ - p_max = clamp((p_max - bleed_bias) / (1.0 - bleed_bias), 0.0, 1.0); + /* Now reduce light-bleeding by removing the [0, x] tail and linearly rescaling (x, 1] */ + p_max = clamp((p_max - bleed_bias) / (1.0 - bleed_bias), 0.0, 1.0); - return (dist <= moments.x) ? 1.0 : p_max; + return (dist <= moments.x) ? 1.0 : p_max; } /* http://seblagarde.wordpress.com/2012/01/08/pi-or-not-to-pi-in-game-lighting-equation/ */ vec3 spherical_harmonics_L1(vec3 N, vec3 shcoefs[4]) { - vec3 sh = vec3(0.0); + vec3 sh = vec3(0.0); - sh += 0.282095 * shcoefs[0]; + sh += 0.282095 * shcoefs[0]; - sh += -0.488603 * N.z * shcoefs[1]; - sh += 0.488603 * N.y * shcoefs[2]; - sh += -0.488603 * N.x * shcoefs[3]; + sh += -0.488603 * N.z * shcoefs[1]; + sh += 0.488603 * N.y * shcoefs[2]; + sh += -0.488603 * N.x * shcoefs[3]; - return sh; + return sh; } vec3 spherical_harmonics_L2(vec3 N, vec3 shcoefs[9]) { - vec3 sh = vec3(0.0); + vec3 sh = vec3(0.0); - sh += 0.282095 * shcoefs[0]; + sh += 0.282095 * shcoefs[0]; - sh += -0.488603 * N.z * shcoefs[1]; - sh += 0.488603 * N.y * shcoefs[2]; - sh += -0.488603 * N.x * shcoefs[3]; + sh += -0.488603 * N.z * shcoefs[1]; + sh += 0.488603 * N.y * shcoefs[2]; + sh += -0.488603 * N.x * shcoefs[3]; - sh += 1.092548 * N.x * N.z * shcoefs[4]; - sh += -1.092548 * N.z * N.y * shcoefs[5]; - sh += 0.315392 * (3.0 * N.y * N.y - 1.0) * shcoefs[6]; - sh += -1.092548 * N.x * N.y * shcoefs[7]; - sh += 0.546274 * (N.x * N.x - N.z * N.z) * shcoefs[8]; + sh += 1.092548 * N.x * N.z * shcoefs[4]; + sh += -1.092548 * N.z * N.y * shcoefs[5]; + sh += 0.315392 * (3.0 * N.y * N.y - 1.0) * shcoefs[6]; + sh += -1.092548 * N.x * N.y * shcoefs[7]; + sh += 0.546274 * (N.x * N.x - N.z * N.z) * shcoefs[8]; - return sh; + return sh; } vec3 hl2_basis(vec3 N, vec3 cubesides[3]) { - vec3 irradiance = vec3(0.0); + vec3 irradiance = vec3(0.0); - vec3 n_squared = N * N; + vec3 n_squared = N * N; - irradiance += n_squared.x * cubesides[0]; - irradiance += n_squared.y * cubesides[1]; - irradiance += n_squared.z * cubesides[2]; + irradiance += n_squared.x * cubesides[0]; + irradiance += n_squared.y * cubesides[1]; + irradiance += n_squared.z * cubesides[2]; - return irradiance; + return irradiance; } vec3 compute_irradiance(vec3 N, IrradianceData ird) { #if defined(IRRADIANCE_CUBEMAP) - return ird.color; + return ird.color; #elif defined(IRRADIANCE_SH_L2) - return spherical_harmonics_L2(N, ird.shcoefs); + return spherical_harmonics_L2(N, ird.shcoefs); #else /* defined(IRRADIANCE_HL2) */ - return hl2_basis(N, ird.cubesides); + return hl2_basis(N, ird.cubesides); #endif } vec3 irradiance_from_cell_get(int cell, vec3 ir_dir) { - IrradianceData ir_data = load_irradiance_cell(cell, ir_dir); - return compute_irradiance(ir_dir, ir_data); + IrradianceData ir_data = load_irradiance_cell(cell, ir_dir); + return compute_irradiance(ir_dir, ir_data); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_frag.glsl index bd51546eadf..a852dd47872 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_frag.glsl @@ -6,14 +6,15 @@ out vec4 FragColor; void main() { - float dist_sqr = dot(quadCoord, quadCoord); + float dist_sqr = dot(quadCoord, quadCoord); - /* Discard outside the circle. */ - if (dist_sqr > 1.0) { - discard; - } + /* Discard outside the circle. */ + if (dist_sqr > 1.0) { + discard; + } - vec3 view_nor = vec3(quadCoord, sqrt(max(0.0, 1.0 - dist_sqr))); - vec3 world_ref = mat3(ViewMatrixInverse) * reflect(vec3(0.0, 0.0, -1.0), view_nor); - FragColor = vec4(textureLod_octahedron(probeCubes, vec4(world_ref, pid), 0.0, prbLodCubeMax).rgb, 1.0); + vec3 view_nor = vec3(quadCoord, sqrt(max(0.0, 1.0 - dist_sqr))); + vec3 world_ref = mat3(ViewMatrixInverse) * reflect(vec3(0.0, 0.0, -1.0), view_nor); + FragColor = vec4(textureLod_octahedron(probeCubes, vec4(world_ref, pid), 0.0, prbLodCubeMax).rgb, + 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_vert.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_vert.glsl index b327878b63d..db780714091 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_cube_display_vert.glsl @@ -1,14 +1,15 @@ /* XXX TODO fix code duplication */ struct CubeData { - vec4 position_type; - vec4 attenuation_fac_type; - mat4 influencemat; - mat4 parallaxmat; + vec4 position_type; + vec4 attenuation_fac_type; + mat4 influencemat; + mat4 parallaxmat; }; -layout(std140) uniform probe_block { - CubeData probes_data[MAX_PROBE]; +layout(std140) uniform probe_block +{ + CubeData probes_data[MAX_PROBE]; }; uniform float sphere_size; @@ -17,27 +18,25 @@ uniform vec3 screen_vecs[2]; flat out int pid; out vec2 quadCoord; -const vec2 pos[6] = vec2[6]( - vec2(-1.0, -1.0), - vec2( 1.0, -1.0), - vec2(-1.0, 1.0), +const vec2 pos[6] = vec2[6](vec2(-1.0, -1.0), + vec2(1.0, -1.0), + vec2(-1.0, 1.0), - vec2( 1.0, -1.0), - vec2( 1.0, 1.0), - vec2(-1.0, 1.0) -); + vec2(1.0, -1.0), + vec2(1.0, 1.0), + vec2(-1.0, 1.0)); void main() { - pid = 1 + (gl_VertexID / 6); /* +1 for the world */ - int vert_id = gl_VertexID % 6; + pid = 1 + (gl_VertexID / 6); /* +1 for the world */ + int vert_id = gl_VertexID % 6; - quadCoord = pos[vert_id]; + quadCoord = pos[vert_id]; - vec3 ws_location = probes_data[pid].position_type.xyz; - vec3 screen_pos = screen_vecs[0] * quadCoord.x + screen_vecs[1] * quadCoord.y; - ws_location += screen_pos * sphere_size; + vec3 ws_location = probes_data[pid].position_type.xyz; + vec3 screen_pos = screen_vecs[0] * quadCoord.x + screen_vecs[1] * quadCoord.y; + ws_location += screen_pos * sphere_size; - gl_Position = ViewProjectionMatrix * vec4(ws_location, 1.0); - gl_Position.z += 0.0001; /* Small bias to let the icon draw without zfighting */ + gl_Position = ViewProjectionMatrix * vec4(ws_location, 1.0); + gl_Position.z += 0.0001; /* Small bias to let the icon draw without zfighting */ } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_diffuse_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_diffuse_frag.glsl index 7cf4259a938..37b02a2130f 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_diffuse_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_diffuse_frag.glsl @@ -12,186 +12,175 @@ out vec4 FragColor; #define M_4PI 12.5663706143591729 const mat3 CUBE_ROTATIONS[6] = mat3[]( - mat3(vec3( 0.0, 0.0, -1.0), - vec3( 0.0, -1.0, 0.0), - vec3(-1.0, 0.0, 0.0)), - mat3(vec3( 0.0, 0.0, 1.0), - vec3( 0.0, -1.0, 0.0), - vec3( 1.0, 0.0, 0.0)), - mat3(vec3( 1.0, 0.0, 0.0), - vec3( 0.0, 0.0, 1.0), - vec3( 0.0, -1.0, 0.0)), - mat3(vec3( 1.0, 0.0, 0.0), - vec3( 0.0, 0.0, -1.0), - vec3( 0.0, 1.0, 0.0)), - mat3(vec3( 1.0, 0.0, 0.0), - vec3( 0.0, -1.0, 0.0), - vec3( 0.0, 0.0, -1.0)), - mat3(vec3(-1.0, 0.0, 0.0), - vec3( 0.0, -1.0, 0.0), - vec3( 0.0, 0.0, 1.0))); + mat3(vec3(0.0, 0.0, -1.0), vec3(0.0, -1.0, 0.0), vec3(-1.0, 0.0, 0.0)), + mat3(vec3(0.0, 0.0, 1.0), vec3(0.0, -1.0, 0.0), vec3(1.0, 0.0, 0.0)), + mat3(vec3(1.0, 0.0, 0.0), vec3(0.0, 0.0, 1.0), vec3(0.0, -1.0, 0.0)), + mat3(vec3(1.0, 0.0, 0.0), vec3(0.0, 0.0, -1.0), vec3(0.0, 1.0, 0.0)), + mat3(vec3(1.0, 0.0, 0.0), vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, -1.0)), + mat3(vec3(-1.0, 0.0, 0.0), vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 1.0))); vec3 get_cubemap_vector(vec2 co, int face) { - return normalize(CUBE_ROTATIONS[face] * vec3(co * 2.0 - 1.0, 1.0)); + return normalize(CUBE_ROTATIONS[face] * vec3(co * 2.0 - 1.0, 1.0)); } float area_element(float x, float y) { - return atan(x * y, sqrt(x * x + y * y + 1)); + return atan(x * y, sqrt(x * x + y * y + 1)); } float texel_solid_angle(vec2 co, float halfpix) { - vec2 v1 = (co - vec2(halfpix)) * 2.0 - 1.0; - vec2 v2 = (co + vec2(halfpix)) * 2.0 - 1.0; + vec2 v1 = (co - vec2(halfpix)) * 2.0 - 1.0; + vec2 v2 = (co + vec2(halfpix)) * 2.0 - 1.0; - return area_element(v1.x, v1.y) - area_element(v1.x, v2.y) - area_element(v2.x, v1.y) + area_element(v2.x, v2.y); + return area_element(v1.x, v1.y) - area_element(v1.x, v2.y) - area_element(v2.x, v1.y) + + area_element(v2.x, v2.y); } vec3 octahedral_to_cubemap_proj(vec2 co) { - co = co * 2.0 - 1.0; + co = co * 2.0 - 1.0; - vec2 abs_co = abs(co); - vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); + vec2 abs_co = abs(co); + vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); - if ( abs_co.x + abs_co.y > 1.0 ) { - v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); - } + if (abs_co.x + abs_co.y > 1.0) { + v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); + } - return v; + return v; } void main() { #if defined(IRRADIANCE_SH_L2) - float pixstep = 1.0 / probeSize; - float halfpix = pixstep / 2.0; - - /* Downside: leaks negative values, very bandwidth consuming */ - int comp = int(gl_FragCoord.x) % 3 + (int(gl_FragCoord.y) % 3) * 3; - - float weight_accum = 0.0; - vec3 sh = vec3(0.0); - - for (int face = 0; face < 6; ++face) { - for (float x = halfpix; x < 1.0; x += pixstep) { - for (float y = halfpix; y < 1.0; y += pixstep) { - float weight, coef; - vec2 facecoord = vec2(x,y); - vec3 cubevec = get_cubemap_vector(facecoord, face); - - if (comp == 0) { - coef = 0.282095; - } - else if (comp == 1) { - coef = -0.488603 * cubevec.z * 2.0 / 3.0; - } - else if (comp == 2) { - coef = 0.488603 * cubevec.y * 2.0 / 3.0; - } - else if (comp == 3) { - coef = -0.488603 * cubevec.x * 2.0 / 3.0; - } - else if (comp == 4) { - coef = 1.092548 * cubevec.x * cubevec.z * 1.0 / 4.0; - } - else if (comp == 5) { - coef = -1.092548 * cubevec.z * cubevec.y * 1.0 / 4.0; - } - else if (comp == 6) { - coef = 0.315392 * (3.0 * cubevec.y * cubevec.y - 1.0) * 1.0 / 4.0; - } - else if (comp == 7) { - coef = 1.092548 * cubevec.x * cubevec.y * 1.0 / 4.0; - } - else { /* (comp == 8) */ - coef = 0.546274 * (cubevec.x * cubevec.x - cubevec.z * cubevec.z) * 1.0 / 4.0; - } - - weight = texel_solid_angle(facecoord, halfpix); - - vec4 sample = textureLod(probeHdr, cubevec, lodMax); - sh += sample.rgb * coef * weight; - weight_accum += weight; - } - } - } - sh *= M_4PI / weight_accum; - - FragColor = vec4(sh, 1.0); + float pixstep = 1.0 / probeSize; + float halfpix = pixstep / 2.0; + + /* Downside: leaks negative values, very bandwidth consuming */ + int comp = int(gl_FragCoord.x) % 3 + (int(gl_FragCoord.y) % 3) * 3; + + float weight_accum = 0.0; + vec3 sh = vec3(0.0); + + for (int face = 0; face < 6; ++face) { + for (float x = halfpix; x < 1.0; x += pixstep) { + for (float y = halfpix; y < 1.0; y += pixstep) { + float weight, coef; + vec2 facecoord = vec2(x, y); + vec3 cubevec = get_cubemap_vector(facecoord, face); + + if (comp == 0) { + coef = 0.282095; + } + else if (comp == 1) { + coef = -0.488603 * cubevec.z * 2.0 / 3.0; + } + else if (comp == 2) { + coef = 0.488603 * cubevec.y * 2.0 / 3.0; + } + else if (comp == 3) { + coef = -0.488603 * cubevec.x * 2.0 / 3.0; + } + else if (comp == 4) { + coef = 1.092548 * cubevec.x * cubevec.z * 1.0 / 4.0; + } + else if (comp == 5) { + coef = -1.092548 * cubevec.z * cubevec.y * 1.0 / 4.0; + } + else if (comp == 6) { + coef = 0.315392 * (3.0 * cubevec.y * cubevec.y - 1.0) * 1.0 / 4.0; + } + else if (comp == 7) { + coef = 1.092548 * cubevec.x * cubevec.y * 1.0 / 4.0; + } + else { /* (comp == 8) */ + coef = 0.546274 * (cubevec.x * cubevec.x - cubevec.z * cubevec.z) * 1.0 / 4.0; + } + + weight = texel_solid_angle(facecoord, halfpix); + + vec4 sample = textureLod(probeHdr, cubevec, lodMax); + sh += sample.rgb * coef * weight; + weight_accum += weight; + } + } + } + sh *= M_4PI / weight_accum; + + FragColor = vec4(sh, 1.0); #else -#if defined(IRRADIANCE_CUBEMAP) - /* Downside: Need lots of memory for storage, distortion due to octahedral mapping */ - const vec2 map_size = vec2(16.0); - const vec2 texelSize = 1.0 / map_size; - vec2 uvs = mod(gl_FragCoord.xy, map_size) * texelSize; - const float paddingSize = 1.0; - - /* Add a N pixel border to ensure filtering is correct - * for N mipmap levels. */ - uvs = (uvs - texelSize * paddingSize) / (1.0 - 2.0 * texelSize * paddingSize); - - /* edge mirroring : only mirror if directly adjacent - * (not diagonally adjacent) */ - vec2 m = abs(uvs - 0.5) + 0.5; - vec2 f = floor(m); - if (f.x - f.y != 0.0) { - uvs = 1.0 - uvs; - } - - /* clamp to [0-1] */ - uvs = fract(uvs); - - /* get cubemap vector */ - vec3 cubevec = octahedral_to_cubemap_proj(uvs); - -#elif defined(IRRADIANCE_HL2) - /* Downside: very very low resolution (6 texels), bleed lighting because of interpolation */ - int x = int(gl_FragCoord.x) % 3; - int y = int(gl_FragCoord.y) % 2; - - vec3 cubevec = vec3(1.0, 0.0, 0.0); - - if (x == 1) { - cubevec = cubevec.yxy; - } - else if (x == 2) { - cubevec = cubevec.yyx; - } - - if (y == 1) { - cubevec = -cubevec; - } -#endif - - vec3 N, T, B, V; - - N = normalize(cubevec); - - make_orthonormal_basis(N, T, B); /* Generate tangent space */ - - /* Integrating Envmap */ - float weight = 0.0; - vec3 out_radiance = vec3(0.0); - for (float i = 0; i < sampleCount; i++) { - vec3 L = sample_hemisphere(i, N, T, B); /* Microfacet normal */ - float NL = dot(N, L); - - if (NL > 0.0) { - /* Coarse Approximation of the mapping distortion - * Unit Sphere -> Cubemap Face */ - const float dist = 4.0 * M_PI / 6.0; - float pdf = pdf_hemisphere(); - /* http://http.developer.nvidia.com/GPUGems3/gpugems3_ch20.html : Equation 13 */ - float lod = clamp(lodFactor - 0.5 * log2(pdf * dist), 0.0, lodMax) ; - - out_radiance += textureLod(probeHdr, L, lod).rgb * NL; - weight += NL; - } - } - - FragColor = irradiance_encode(intensityFac * out_radiance / weight); +# if defined(IRRADIANCE_CUBEMAP) + /* Downside: Need lots of memory for storage, distortion due to octahedral mapping */ + const vec2 map_size = vec2(16.0); + const vec2 texelSize = 1.0 / map_size; + vec2 uvs = mod(gl_FragCoord.xy, map_size) * texelSize; + const float paddingSize = 1.0; + + /* Add a N pixel border to ensure filtering is correct + * for N mipmap levels. */ + uvs = (uvs - texelSize * paddingSize) / (1.0 - 2.0 * texelSize * paddingSize); + + /* edge mirroring : only mirror if directly adjacent + * (not diagonally adjacent) */ + vec2 m = abs(uvs - 0.5) + 0.5; + vec2 f = floor(m); + if (f.x - f.y != 0.0) { + uvs = 1.0 - uvs; + } + + /* clamp to [0-1] */ + uvs = fract(uvs); + + /* get cubemap vector */ + vec3 cubevec = octahedral_to_cubemap_proj(uvs); + +# elif defined(IRRADIANCE_HL2) + /* Downside: very very low resolution (6 texels), bleed lighting because of interpolation */ + int x = int(gl_FragCoord.x) % 3; + int y = int(gl_FragCoord.y) % 2; + + vec3 cubevec = vec3(1.0, 0.0, 0.0); + + if (x == 1) { + cubevec = cubevec.yxy; + } + else if (x == 2) { + cubevec = cubevec.yyx; + } + + if (y == 1) { + cubevec = -cubevec; + } +# endif + + vec3 N, T, B, V; + + N = normalize(cubevec); + + make_orthonormal_basis(N, T, B); /* Generate tangent space */ + + /* Integrating Envmap */ + float weight = 0.0; + vec3 out_radiance = vec3(0.0); + for (float i = 0; i < sampleCount; i++) { + vec3 L = sample_hemisphere(i, N, T, B); /* Microfacet normal */ + float NL = dot(N, L); + + if (NL > 0.0) { + /* Coarse Approximation of the mapping distortion + * Unit Sphere -> Cubemap Face */ + const float dist = 4.0 * M_PI / 6.0; + float pdf = pdf_hemisphere(); + /* http://http.developer.nvidia.com/GPUGems3/gpugems3_ch20.html : Equation 13 */ + float lod = clamp(lodFactor - 0.5 * log2(pdf * dist), 0.0, lodMax); + + out_radiance += textureLod(probeHdr, L, lod).rgb * NL; + weight += NL; + } + } + + FragColor = irradiance_encode(intensityFac * out_radiance / weight); #endif } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_glossy_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_glossy_frag.glsl index fdfee54f368..06c31272ecd 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_glossy_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_glossy_frag.glsl @@ -14,85 +14,86 @@ out vec4 FragColor; float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } vec3 octahedral_to_cubemap_proj(vec2 co) { - co = co * 2.0 - 1.0; + co = co * 2.0 - 1.0; - vec2 abs_co = abs(co); - vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); + vec2 abs_co = abs(co); + vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); - if ( abs_co.x + abs_co.y > 1.0 ) { - v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); - } + if (abs_co.x + abs_co.y > 1.0) { + v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); + } - return v; + return v; } -void main() { - vec2 uvs = gl_FragCoord.xy * texelSize; +void main() +{ + vec2 uvs = gl_FragCoord.xy * texelSize; - /* Add a N pixel border to ensure filtering is correct - * for N mipmap levels. */ - uvs = (uvs - paddingSize) / (1.0 - 2.0 * paddingSize); + /* Add a N pixel border to ensure filtering is correct + * for N mipmap levels. */ + uvs = (uvs - paddingSize) / (1.0 - 2.0 * paddingSize); - /* edge mirroring : only mirror if directly adjacent - * (not diagonally adjacent) */ - vec2 m = abs(uvs - 0.5) + 0.5; - vec2 f = floor(m); - if (f.x - f.y != 0.0) { - uvs = 1.0 - uvs; - } + /* edge mirroring : only mirror if directly adjacent + * (not diagonally adjacent) */ + vec2 m = abs(uvs - 0.5) + 0.5; + vec2 f = floor(m); + if (f.x - f.y != 0.0) { + uvs = 1.0 - uvs; + } - /* clamp to [0-1] */ - uvs = fract(uvs); + /* clamp to [0-1] */ + uvs = fract(uvs); - /* get cubemap vector */ - vec3 cubevec = octahedral_to_cubemap_proj(uvs); + /* get cubemap vector */ + vec3 cubevec = octahedral_to_cubemap_proj(uvs); - vec3 N, T, B, V; + vec3 N, T, B, V; - vec3 R = normalize(cubevec); + vec3 R = normalize(cubevec); - /* Isotropic assumption */ - N = V = R; + /* Isotropic assumption */ + N = V = R; - make_orthonormal_basis(N, T, B); /* Generate tangent space */ + make_orthonormal_basis(N, T, B); /* Generate tangent space */ - /* Noise to dither the samples */ - /* Note : ghosting is better looking than noise. */ - // setup_noise(); + /* Noise to dither the samples */ + /* Note : ghosting is better looking than noise. */ + // setup_noise(); - /* Integrating Envmap */ - float weight = 0.0; - vec3 out_radiance = vec3(0.0); - for (float i = 0; i < sampleCount; i++) { - vec3 H = sample_ggx(i, roughnessSquared, N, T, B); /* Microfacet normal */ - vec3 L = -reflect(V, H); - float NL = dot(N, L); + /* Integrating Envmap */ + float weight = 0.0; + vec3 out_radiance = vec3(0.0); + for (float i = 0; i < sampleCount; i++) { + vec3 H = sample_ggx(i, roughnessSquared, N, T, B); /* Microfacet normal */ + vec3 L = -reflect(V, H); + float NL = dot(N, L); - if (NL > 0.0) { - float NH = max(1e-8, dot(N, H)); /* cosTheta */ + if (NL > 0.0) { + float NH = max(1e-8, dot(N, H)); /* cosTheta */ - /* Coarse Approximation of the mapping distortion - * Unit Sphere -> Cubemap Face */ - const float dist = 4.0 * M_PI / 6.0; - float pdf = pdf_ggx_reflect(NH, roughnessSquared); - /* http://http.developer.nvidia.com/GPUGems3/gpugems3_ch20.html : Equation 13 */ - float lod = clamp(lodFactor - 0.5 * log2(pdf * dist), 0.0, lodMax) ; + /* Coarse Approximation of the mapping distortion + * Unit Sphere -> Cubemap Face */ + const float dist = 4.0 * M_PI / 6.0; + float pdf = pdf_ggx_reflect(NH, roughnessSquared); + /* http://http.developer.nvidia.com/GPUGems3/gpugems3_ch20.html : Equation 13 */ + float lod = clamp(lodFactor - 0.5 * log2(pdf * dist), 0.0, lodMax); - vec3 l_col = textureLod(probeHdr, L, lod).rgb; + vec3 l_col = textureLod(probeHdr, L, lod).rgb; - /* Clamped brightness. */ - float luma = max(1e-8, brightness(l_col)); - l_col *= 1.0 - max(0.0, luma - fireflyFactor) / luma; + /* Clamped brightness. */ + float luma = max(1e-8, brightness(l_col)); + l_col *= 1.0 - max(0.0, luma - fireflyFactor) / luma; - out_radiance += l_col * NL; - weight += NL; - } - } + out_radiance += l_col * NL; + weight += NL; + } + } - FragColor = vec4(intensityFac * out_radiance / weight, 1.0); + FragColor = vec4(intensityFac * out_radiance / weight, 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_visibility_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_visibility_frag.glsl index 083d2313337..5d8af21032a 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_filter_visibility_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_filter_visibility_frag.glsl @@ -13,75 +13,75 @@ out vec4 FragColor; vec3 octahedral_to_cubemap_proj(vec2 co) { - co = co * 2.0 - 1.0; + co = co * 2.0 - 1.0; - vec2 abs_co = abs(co); - vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); + vec2 abs_co = abs(co); + vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); - if ( abs_co.x + abs_co.y > 1.0 ) { - v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); - } + if (abs_co.x + abs_co.y > 1.0) { + v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); + } - return v; + return v; } float linear_depth(float z) { - return (nearClip * farClip) / (z * (nearClip - farClip) + farClip); + return (nearClip * farClip) / (z * (nearClip - farClip) + farClip); } float get_world_distance(float depth, vec3 cos) { - float is_background = step(1.0, depth); - depth = linear_depth(depth); - depth += 1e1 * is_background; - cos = normalize(abs(cos)); - float cos_vec = max(cos.x, max(cos.y, cos.z)); - return depth / cos_vec; + float is_background = step(1.0, depth); + depth = linear_depth(depth); + depth += 1e1 * is_background; + cos = normalize(abs(cos)); + float cos_vec = max(cos.x, max(cos.y, cos.z)); + return depth / cos_vec; } void main() { - ivec2 texel = ivec2(gl_FragCoord.xy) % ivec2(outputSize); + ivec2 texel = ivec2(gl_FragCoord.xy) % ivec2(outputSize); - vec3 cos; + vec3 cos; - cos.xy = (vec2(texel) + 0.5) * storedTexelSize; + cos.xy = (vec2(texel) + 0.5) * storedTexelSize; - /* add a 2 pixel border to ensure filtering is correct */ - cos.xy = (cos.xy - storedTexelSize) / (1.0 - 2.0 * storedTexelSize); + /* add a 2 pixel border to ensure filtering is correct */ + cos.xy = (cos.xy - storedTexelSize) / (1.0 - 2.0 * storedTexelSize); - float pattern = 1.0; + float pattern = 1.0; - /* edge mirroring : only mirror if directly adjacent - * (not diagonally adjacent) */ - vec2 m = abs(cos.xy - 0.5) + 0.5; - vec2 f = floor(m); - if (f.x - f.y != 0.0) { - cos.xy = 1.0 - cos.xy; - } + /* edge mirroring : only mirror if directly adjacent + * (not diagonally adjacent) */ + vec2 m = abs(cos.xy - 0.5) + 0.5; + vec2 f = floor(m); + if (f.x - f.y != 0.0) { + cos.xy = 1.0 - cos.xy; + } - /* clamp to [0-1] */ - cos.xy = fract(cos.xy); + /* clamp to [0-1] */ + cos.xy = fract(cos.xy); - /* get cubemap vector */ - cos = normalize(octahedral_to_cubemap_proj(cos.xy)); + /* get cubemap vector */ + cos = normalize(octahedral_to_cubemap_proj(cos.xy)); - vec3 T, B; - make_orthonormal_basis(cos, T, B); /* Generate tangent space */ + vec3 T, B; + make_orthonormal_basis(cos, T, B); /* Generate tangent space */ - vec2 accum = vec2(0.0); + vec2 accum = vec2(0.0); - for (float i = 0; i < sampleCount; i++) { - vec3 sample = sample_cone(i, M_PI_2 * visibilityBlur, cos, T, B); - float depth = texture(probeDepth, sample).r; - depth = get_world_distance(depth, sample); - accum += vec2(depth, depth * depth); - } + for (float i = 0; i < sampleCount; i++) { + vec3 sample = sample_cone(i, M_PI_2 * visibilityBlur, cos, T, B); + float depth = texture(probeDepth, sample).r; + depth = get_world_distance(depth, sample); + accum += vec2(depth, depth * depth); + } - accum *= invSampleCount; - accum = abs(accum); + accum *= invSampleCount; + accum = abs(accum); - /* Encode to normalized RGBA 8 */ - FragColor = visibility_encode(accum, visibilityRange); + /* Encode to normalized RGBA 8 */ + FragColor = visibility_encode(accum, visibilityRange); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_geom.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_geom.glsl index 996b507239d..e10cb5f4999 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_geom.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_geom.glsl @@ -1,6 +1,6 @@ layout(triangles) in; -layout(triangle_strip, max_vertices=3) out; +layout(triangle_strip, max_vertices = 3) out; uniform int Layer; @@ -10,25 +10,41 @@ flat out int fFace; out vec3 worldPosition; out vec3 viewPosition; /* Required. otherwise generate linking error. */ -out vec3 worldNormal; /* Required. otherwise generate linking error. */ -out vec3 viewNormal; /* Required. otherwise generate linking error. */ - -const vec3 maj_axes[6] = vec3[6](vec3(1.0, 0.0, 0.0), vec3(-1.0, 0.0, 0.0), vec3(0.0, 1.0, 0.0), vec3(0.0, -1.0, 0.0), vec3( 0.0, 0.0, 1.0), vec3( 0.0, 0.0, -1.0)); -const vec3 x_axis[6] = vec3[6](vec3(0.0, 0.0, -1.0), vec3( 0.0, 0.0, 1.0), vec3(1.0, 0.0, 0.0), vec3(1.0, 0.0, 0.0), vec3( 1.0, 0.0, 0.0), vec3(-1.0, 0.0, 0.0)); -const vec3 y_axis[6] = vec3[6](vec3(0.0, -1.0, 0.0), vec3( 0.0, -1.0, 0.0), vec3(0.0, 0.0, 1.0), vec3(0.0, 0.0, -1.0), vec3( 0.0, -1.0, 0.0), vec3( 0.0, -1.0, 0.0)); - -void main() { - fFace = face[0]; - gl_Layer = Layer + fFace; - - for (int v = 0; v < 3; ++v) { - gl_Position = vPos[v]; - worldPosition = x_axis[fFace] * vPos[v].x + y_axis[fFace] * vPos[v].y + maj_axes[fFace]; +out vec3 worldNormal; /* Required. otherwise generate linking error. */ +out vec3 viewNormal; /* Required. otherwise generate linking error. */ + +const vec3 maj_axes[6] = vec3[6](vec3(1.0, 0.0, 0.0), + vec3(-1.0, 0.0, 0.0), + vec3(0.0, 1.0, 0.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, 0.0, 1.0), + vec3(0.0, 0.0, -1.0)); +const vec3 x_axis[6] = vec3[6](vec3(0.0, 0.0, -1.0), + vec3(0.0, 0.0, 1.0), + vec3(1.0, 0.0, 0.0), + vec3(1.0, 0.0, 0.0), + vec3(1.0, 0.0, 0.0), + vec3(-1.0, 0.0, 0.0)); +const vec3 y_axis[6] = vec3[6](vec3(0.0, -1.0, 0.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, 0.0, 1.0), + vec3(0.0, 0.0, -1.0), + vec3(0.0, -1.0, 0.0), + vec3(0.0, -1.0, 0.0)); + +void main() +{ + fFace = face[0]; + gl_Layer = Layer + fFace; + + for (int v = 0; v < 3; ++v) { + gl_Position = vPos[v]; + worldPosition = x_axis[fFace] * vPos[v].x + y_axis[fFace] * vPos[v].y + maj_axes[fFace]; #ifdef USE_ATTR - pass_attr(v); + pass_attr(v); #endif - EmitVertex(); - } + EmitVertex(); + } - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_frag.glsl index fe0e173ba3d..f9bcc718a1e 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_frag.glsl @@ -6,15 +6,15 @@ out vec4 FragColor; void main() { - float dist_sqr = dot(quadCoord, quadCoord); + float dist_sqr = dot(quadCoord, quadCoord); - /* Discard outside the circle. */ - if (dist_sqr > 1.0) { - discard; - } + /* Discard outside the circle. */ + if (dist_sqr > 1.0) { + discard; + } - vec3 view_nor = vec3(quadCoord, sqrt(max(0.0, 1.0 - dist_sqr))); - vec3 world_nor = mat3(ViewMatrixInverse) * view_nor; - IrradianceData ir_data = load_irradiance_cell(cellOffset, world_nor); - FragColor = vec4(compute_irradiance(world_nor, ir_data), 1.0); + vec3 view_nor = vec3(quadCoord, sqrt(max(0.0, 1.0 - dist_sqr))); + vec3 world_nor = mat3(ViewMatrixInverse) * view_nor; + IrradianceData ir_data = load_irradiance_cell(cellOffset, world_nor); + FragColor = vec4(compute_irradiance(world_nor, ir_data), 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_vert.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_vert.glsl index 7a92b55e530..4e500db827e 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_display_vert.glsl @@ -11,39 +11,35 @@ uniform vec3 screen_vecs[2]; flat out int cellOffset; out vec2 quadCoord; -const vec2 pos[6] = vec2[6]( - vec2(-1.0, -1.0), - vec2( 1.0, -1.0), - vec2(-1.0, 1.0), +const vec2 pos[6] = vec2[6](vec2(-1.0, -1.0), + vec2(1.0, -1.0), + vec2(-1.0, 1.0), - vec2( 1.0, -1.0), - vec2( 1.0, 1.0), - vec2(-1.0, 1.0) -); + vec2(1.0, -1.0), + vec2(1.0, 1.0), + vec2(-1.0, 1.0)); void main() { - int cell_id = gl_VertexID / 6; - int vert_id = gl_VertexID % 6; + int cell_id = gl_VertexID / 6; + int vert_id = gl_VertexID % 6; - vec3 ls_cell_location; - /* Keep in sync with update_irradiance_probe */ - ls_cell_location.z = float(cell_id % grid_resolution.z); - ls_cell_location.y = float((cell_id / grid_resolution.z) % grid_resolution.y); - ls_cell_location.x = float(cell_id / (grid_resolution.z * grid_resolution.y)); + vec3 ls_cell_location; + /* Keep in sync with update_irradiance_probe */ + ls_cell_location.z = float(cell_id % grid_resolution.z); + ls_cell_location.y = float((cell_id / grid_resolution.z) % grid_resolution.y); + ls_cell_location.x = float(cell_id / (grid_resolution.z * grid_resolution.y)); - cellOffset = offset + cell_id; + cellOffset = offset + cell_id; - vec3 ws_cell_location = corner + - (increment_x * ls_cell_location.x + - increment_y * ls_cell_location.y + - increment_z * ls_cell_location.z); + vec3 ws_cell_location = corner + + (increment_x * ls_cell_location.x + increment_y * ls_cell_location.y + + increment_z * ls_cell_location.z); + quadCoord = pos[vert_id]; + vec3 screen_pos = screen_vecs[0] * quadCoord.x + screen_vecs[1] * quadCoord.y; + ws_cell_location += screen_pos * sphere_size; - quadCoord = pos[vert_id]; - vec3 screen_pos = screen_vecs[0] * quadCoord.x + screen_vecs[1] * quadCoord.y; - ws_cell_location += screen_pos * sphere_size; - - gl_Position = ViewProjectionMatrix * vec4(ws_cell_location , 1.0); - gl_Position.z += 0.0001; /* Small bias to let the icon draw without zfighting */ + gl_Position = ViewProjectionMatrix * vec4(ws_cell_location, 1.0); + gl_Position.z += 0.0001; /* Small bias to let the icon draw without zfighting */ } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_fill_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_fill_frag.glsl index ced8e7f4f01..7cab5146b09 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_grid_fill_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_grid_fill_frag.glsl @@ -5,16 +5,16 @@ out vec4 FragColor; void main() { #if defined(IRRADIANCE_SH_L2) - const ivec2 data_size = ivec2(3, 3); + const ivec2 data_size = ivec2(3, 3); #elif defined(IRRADIANCE_CUBEMAP) - const ivec2 data_size = ivec2(8, 8); + const ivec2 data_size = ivec2(8, 8); #elif defined(IRRADIANCE_HL2) - const ivec2 data_size = ivec2(3, 2); + const ivec2 data_size = ivec2(3, 2); #endif - ivec2 coord = ivec2(gl_FragCoord.xy) % data_size; - FragColor = texelFetch(irradianceGrid, ivec3(coord, 0), 0); + ivec2 coord = ivec2(gl_FragCoord.xy) % data_size; + FragColor = texelFetch(irradianceGrid, ivec3(coord, 0), 0); - if (any(greaterThanEqual(ivec2(gl_FragCoord.xy), data_size))) { - FragColor = vec4(0.0, 0.0, 0.0, 1.0); - } + if (any(greaterThanEqual(ivec2(gl_FragCoord.xy), data_size))) { + FragColor = vec4(0.0, 0.0, 0.0, 1.0); + } } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_lib.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_lib.glsl index 7881079e258..0c7be71d914 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_lib.glsl @@ -6,300 +6,309 @@ uniform sampler2DArray probeCubes; /* ----------- Structures --------- */ struct CubeData { - vec4 position_type; - vec4 attenuation_fac_type; - mat4 influencemat; - mat4 parallaxmat; + vec4 position_type; + vec4 attenuation_fac_type; + mat4 influencemat; + mat4 parallaxmat; }; -#define PROBE_PARALLAX_BOX 1.0 +#define PROBE_PARALLAX_BOX 1.0 #define PROBE_ATTENUATION_BOX 1.0 -#define p_position position_type.xyz +#define p_position position_type.xyz #define p_parallax_type position_type.w -#define p_atten_fac attenuation_fac_type.x -#define p_atten_type attenuation_fac_type.y +#define p_atten_fac attenuation_fac_type.x +#define p_atten_type attenuation_fac_type.y struct PlanarData { - vec4 plane_equation; - vec4 clip_vec_x_fade_scale; - vec4 clip_vec_y_fade_bias; - vec4 clip_edges; - vec4 facing_scale_bias; - mat4 reflectionmat; /* transform world space into reflection texture space */ - mat4 unused; + vec4 plane_equation; + vec4 clip_vec_x_fade_scale; + vec4 clip_vec_y_fade_bias; + vec4 clip_edges; + vec4 facing_scale_bias; + mat4 reflectionmat; /* transform world space into reflection texture space */ + mat4 unused; }; -#define pl_plane_eq plane_equation -#define pl_normal plane_equation.xyz -#define pl_facing_scale facing_scale_bias.x -#define pl_facing_bias facing_scale_bias.y -#define pl_fade_scale clip_vec_x_fade_scale.w -#define pl_fade_bias clip_vec_y_fade_bias.w -#define pl_clip_pos_x clip_vec_x_fade_scale.xyz -#define pl_clip_pos_y clip_vec_y_fade_bias.xyz -#define pl_clip_edges clip_edges +#define pl_plane_eq plane_equation +#define pl_normal plane_equation.xyz +#define pl_facing_scale facing_scale_bias.x +#define pl_facing_bias facing_scale_bias.y +#define pl_fade_scale clip_vec_x_fade_scale.w +#define pl_fade_bias clip_vec_y_fade_bias.w +#define pl_clip_pos_x clip_vec_x_fade_scale.xyz +#define pl_clip_pos_y clip_vec_y_fade_bias.xyz +#define pl_clip_edges clip_edges struct GridData { - mat4 localmat; - ivec4 resolution_offset; - vec4 ws_corner_atten_scale; /* world space corner position */ - vec4 ws_increment_x_atten_bias; /* world space vector between 2 opposite cells */ - vec4 ws_increment_y_lvl_bias; - vec4 ws_increment_z; - vec4 vis_bias_bleed_range; + mat4 localmat; + ivec4 resolution_offset; + vec4 ws_corner_atten_scale; /* world space corner position */ + vec4 ws_increment_x_atten_bias; /* world space vector between 2 opposite cells */ + vec4 ws_increment_y_lvl_bias; + vec4 ws_increment_z; + vec4 vis_bias_bleed_range; }; -#define g_corner ws_corner_atten_scale.xyz -#define g_atten_scale ws_corner_atten_scale.w -#define g_atten_bias ws_increment_x_atten_bias.w -#define g_level_bias ws_increment_y_lvl_bias.w -#define g_increment_x ws_increment_x_atten_bias.xyz -#define g_increment_y ws_increment_y_lvl_bias.xyz -#define g_increment_z ws_increment_z.xyz -#define g_resolution resolution_offset.xyz -#define g_offset resolution_offset.w -#define g_vis_bias vis_bias_bleed_range.x -#define g_vis_bleed vis_bias_bleed_range.y -#define g_vis_range vis_bias_bleed_range.z +#define g_corner ws_corner_atten_scale.xyz +#define g_atten_scale ws_corner_atten_scale.w +#define g_atten_bias ws_increment_x_atten_bias.w +#define g_level_bias ws_increment_y_lvl_bias.w +#define g_increment_x ws_increment_x_atten_bias.xyz +#define g_increment_y ws_increment_y_lvl_bias.xyz +#define g_increment_z ws_increment_z.xyz +#define g_resolution resolution_offset.xyz +#define g_offset resolution_offset.w +#define g_vis_bias vis_bias_bleed_range.x +#define g_vis_bleed vis_bias_bleed_range.y +#define g_vis_range vis_bias_bleed_range.z #ifndef MAX_PROBE -#define MAX_PROBE 1 +# define MAX_PROBE 1 #endif #ifndef MAX_GRID -#define MAX_GRID 1 +# define MAX_GRID 1 #endif #ifndef MAX_PLANAR -#define MAX_PLANAR 1 +# define MAX_PLANAR 1 #endif #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ -layout(std140) uniform probe_block { - CubeData probes_data[MAX_PROBE]; +layout(std140) uniform probe_block +{ + CubeData probes_data[MAX_PROBE]; }; -layout(std140) uniform grid_block { - GridData grids_data[MAX_GRID]; +layout(std140) uniform grid_block +{ + GridData grids_data[MAX_GRID]; }; -layout(std140) uniform planar_block { - PlanarData planars_data[MAX_PLANAR]; +layout(std140) uniform planar_block +{ + PlanarData planars_data[MAX_PLANAR]; }; /* ----------- Functions --------- */ float probe_attenuation_cube(int pd_id, vec3 W) { - vec3 localpos = transform_point(probes_data[pd_id].influencemat, W); - - float probe_atten_fac = probes_data[pd_id].p_atten_fac; - float fac; - if (probes_data[pd_id].p_atten_type == PROBE_ATTENUATION_BOX) { - vec3 axes_fac = saturate(probe_atten_fac - probe_atten_fac * abs(localpos)); - fac = min_v3(axes_fac); - } - else { - fac = saturate(probe_atten_fac - probe_atten_fac * length(localpos)); - } - - return fac; + vec3 localpos = transform_point(probes_data[pd_id].influencemat, W); + + float probe_atten_fac = probes_data[pd_id].p_atten_fac; + float fac; + if (probes_data[pd_id].p_atten_type == PROBE_ATTENUATION_BOX) { + vec3 axes_fac = saturate(probe_atten_fac - probe_atten_fac * abs(localpos)); + fac = min_v3(axes_fac); + } + else { + fac = saturate(probe_atten_fac - probe_atten_fac * length(localpos)); + } + + return fac; } float probe_attenuation_planar(PlanarData pd, vec3 W, vec3 N, float roughness) { - /* Normal Facing */ - float fac = saturate(dot(pd.pl_normal, N) * pd.pl_facing_scale + pd.pl_facing_bias); + /* Normal Facing */ + float fac = saturate(dot(pd.pl_normal, N) * pd.pl_facing_scale + pd.pl_facing_bias); - /* Distance from plane */ - fac *= saturate(abs(dot(pd.pl_plane_eq, vec4(W, 1.0))) * pd.pl_fade_scale + pd.pl_fade_bias); + /* Distance from plane */ + fac *= saturate(abs(dot(pd.pl_plane_eq, vec4(W, 1.0))) * pd.pl_fade_scale + pd.pl_fade_bias); - /* Fancy fast clipping calculation */ - vec2 dist_to_clip; - dist_to_clip.x = dot(pd.pl_clip_pos_x, W); - dist_to_clip.y = dot(pd.pl_clip_pos_y, W); - /* compare and add all tests */ - fac *= step(2.0, dot(step(pd.pl_clip_edges, dist_to_clip.xxyy), vec2(-1.0, 1.0).xyxy)); + /* Fancy fast clipping calculation */ + vec2 dist_to_clip; + dist_to_clip.x = dot(pd.pl_clip_pos_x, W); + dist_to_clip.y = dot(pd.pl_clip_pos_y, W); + /* compare and add all tests */ + fac *= step(2.0, dot(step(pd.pl_clip_edges, dist_to_clip.xxyy), vec2(-1.0, 1.0).xyxy)); - /* Decrease influence for high roughness */ - fac *= saturate(1.0 - roughness * 10.0); + /* Decrease influence for high roughness */ + fac *= saturate(1.0 - roughness * 10.0); - return fac; + return fac; } float probe_attenuation_grid(GridData gd, mat4 localmat, vec3 W, out vec3 localpos) { - localpos = transform_point(localmat, W); - vec3 pos_to_edge = max(vec3(0.0), abs(localpos) - 1.0); - float fade = length(pos_to_edge); - return saturate(-fade * gd.g_atten_scale + gd.g_atten_bias); + localpos = transform_point(localmat, W); + vec3 pos_to_edge = max(vec3(0.0), abs(localpos) - 1.0); + float fade = length(pos_to_edge); + return saturate(-fade * gd.g_atten_scale + gd.g_atten_bias); } vec3 probe_evaluate_cube(int pd_id, vec3 W, vec3 R, float roughness) { - /* Correct reflection ray using parallax volume intersection. */ - vec3 localpos = transform_point(probes_data[pd_id].parallaxmat, W); - vec3 localray = transform_direction(probes_data[pd_id].parallaxmat, R); - - float dist; - if (probes_data[pd_id].p_parallax_type == PROBE_PARALLAX_BOX) { - dist = line_unit_box_intersect_dist(localpos, localray); - } - else { - dist = line_unit_sphere_intersect_dist(localpos, localray); - } - - /* Use Distance in WS directly to recover intersection */ - vec3 intersection = W + R * dist - probes_data[pd_id].p_position; - - /* From Frostbite PBR Course - * Distance based roughness - * http://www.frostbite.com/wp-content/uploads/2014/11/course_notes_moving_frostbite_to_pbr.pdf */ - float original_roughness = roughness; - float linear_roughness = sqrt(roughness); - float distance_roughness = saturate(dist * linear_roughness / length(intersection)); - linear_roughness = mix(distance_roughness, linear_roughness, linear_roughness); - roughness = linear_roughness * linear_roughness; - - float fac = saturate(original_roughness * 2.0 - 1.0); - R = mix(intersection, R, fac * fac); - - return textureLod_octahedron(probeCubes, vec4(R, float(pd_id)), roughness * prbLodCubeMax, prbLodCubeMax).rgb; + /* Correct reflection ray using parallax volume intersection. */ + vec3 localpos = transform_point(probes_data[pd_id].parallaxmat, W); + vec3 localray = transform_direction(probes_data[pd_id].parallaxmat, R); + + float dist; + if (probes_data[pd_id].p_parallax_type == PROBE_PARALLAX_BOX) { + dist = line_unit_box_intersect_dist(localpos, localray); + } + else { + dist = line_unit_sphere_intersect_dist(localpos, localray); + } + + /* Use Distance in WS directly to recover intersection */ + vec3 intersection = W + R * dist - probes_data[pd_id].p_position; + + /* From Frostbite PBR Course + * Distance based roughness + * http://www.frostbite.com/wp-content/uploads/2014/11/course_notes_moving_frostbite_to_pbr.pdf */ + float original_roughness = roughness; + float linear_roughness = sqrt(roughness); + float distance_roughness = saturate(dist * linear_roughness / length(intersection)); + linear_roughness = mix(distance_roughness, linear_roughness, linear_roughness); + roughness = linear_roughness * linear_roughness; + + float fac = saturate(original_roughness * 2.0 - 1.0); + R = mix(intersection, R, fac * fac); + + return textureLod_octahedron( + probeCubes, vec4(R, float(pd_id)), roughness * prbLodCubeMax, prbLodCubeMax) + .rgb; } vec3 probe_evaluate_world_spec(vec3 R, float roughness) { - return textureLod_octahedron(probeCubes, vec4(R, 0.0), roughness * prbLodCubeMax, prbLodCubeMax).rgb; + return textureLod_octahedron(probeCubes, vec4(R, 0.0), roughness * prbLodCubeMax, prbLodCubeMax) + .rgb; } vec3 probe_evaluate_planar( - float id, PlanarData pd, vec3 W, vec3 N, vec3 V, - float roughness, inout float fade) + float id, PlanarData pd, vec3 W, vec3 N, vec3 V, float roughness, inout float fade) { - /* Find view vector / reflection plane intersection. */ - vec3 point_on_plane = line_plane_intersect(W, V, pd.pl_plane_eq); + /* Find view vector / reflection plane intersection. */ + vec3 point_on_plane = line_plane_intersect(W, V, pd.pl_plane_eq); - /* How far the pixel is from the plane. */ - float ref_depth = 1.0; /* TODO parameter */ + /* How far the pixel is from the plane. */ + float ref_depth = 1.0; /* TODO parameter */ - /* Compute distorded reflection vector based on the distance to the reflected object. - * In other words find intersection between reflection vector and the sphere center - * around point_on_plane. */ - vec3 proj_ref = reflect(reflect(-V, N) * ref_depth, pd.pl_normal); + /* Compute distorded reflection vector based on the distance to the reflected object. + * In other words find intersection between reflection vector and the sphere center + * around point_on_plane. */ + vec3 proj_ref = reflect(reflect(-V, N) * ref_depth, pd.pl_normal); - /* Final point in world space. */ - vec3 ref_pos = point_on_plane + proj_ref; + /* Final point in world space. */ + vec3 ref_pos = point_on_plane + proj_ref; - /* Reproject to find texture coords. */ - vec4 refco = ViewProjectionMatrix * vec4(ref_pos, 1.0); - refco.xy /= refco.w; + /* Reproject to find texture coords. */ + vec4 refco = ViewProjectionMatrix * vec4(ref_pos, 1.0); + refco.xy /= refco.w; - /* TODO: If we support non-ssr planar reflection, we should blur them with gaussian - * and chose the right mip depending on the cone footprint after projection */ - /* NOTE: X is inverted here to compensate inverted drawing. */ - vec3 sample = textureLod(probePlanars, vec3(refco.xy * vec2(-0.5, 0.5) + 0.5, id), 0.0).rgb; + /* TODO: If we support non-ssr planar reflection, we should blur them with gaussian + * and chose the right mip depending on the cone footprint after projection */ + /* NOTE: X is inverted here to compensate inverted drawing. */ + vec3 sample = textureLod(probePlanars, vec3(refco.xy * vec2(-0.5, 0.5) + 0.5, id), 0.0).rgb; - return sample; + return sample; } -void fallback_cubemap( - vec3 N, vec3 V, vec3 W, vec3 viewPosition, float roughness, float roughnessSquared, inout vec4 spec_accum) +void fallback_cubemap(vec3 N, + vec3 V, + vec3 W, + vec3 viewPosition, + float roughness, + float roughnessSquared, + inout vec4 spec_accum) { - /* Specular probes */ - vec3 spec_dir = get_specular_reflection_dominant_dir(N, V, roughnessSquared); + /* Specular probes */ + vec3 spec_dir = get_specular_reflection_dominant_dir(N, V, roughnessSquared); #ifdef SSR_AO - vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); - vec3 bent_normal; - float final_ao = occlusion_compute(N, viewPosition, 1.0, rand, bent_normal); - final_ao = specular_occlusion(dot(N, V), final_ao, roughness); + vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); + vec3 bent_normal; + float final_ao = occlusion_compute(N, viewPosition, 1.0, rand, bent_normal); + final_ao = specular_occlusion(dot(N, V), final_ao, roughness); #else - const float final_ao = 1.0; + const float final_ao = 1.0; #endif - /* Starts at 1 because 0 is world probe */ - for (int i = 1; i < MAX_PROBE && i < prbNumRenderCube && spec_accum.a < 0.999; ++i) { - float fade = probe_attenuation_cube(i, W); - - if (fade > 0.0) { - vec3 spec = final_ao * probe_evaluate_cube(i, W, spec_dir, roughness); - accumulate_light(spec, fade, spec_accum); - } - } - - /* World Specular */ - if (spec_accum.a < 0.999) { - vec3 spec = final_ao * probe_evaluate_world_spec(spec_dir, roughness); - accumulate_light(spec, 1.0, spec_accum); - } + /* Starts at 1 because 0 is world probe */ + for (int i = 1; i < MAX_PROBE && i < prbNumRenderCube && spec_accum.a < 0.999; ++i) { + float fade = probe_attenuation_cube(i, W); + + if (fade > 0.0) { + vec3 spec = final_ao * probe_evaluate_cube(i, W, spec_dir, roughness); + accumulate_light(spec, fade, spec_accum); + } + } + + /* World Specular */ + if (spec_accum.a < 0.999) { + vec3 spec = final_ao * probe_evaluate_world_spec(spec_dir, roughness); + accumulate_light(spec, 1.0, spec_accum); + } } #ifdef IRRADIANCE_LIB vec3 probe_evaluate_grid(GridData gd, vec3 W, vec3 N, vec3 localpos) { - localpos = localpos * 0.5 + 0.5; - localpos = localpos * vec3(gd.g_resolution) - 0.5; + localpos = localpos * 0.5 + 0.5; + localpos = localpos * vec3(gd.g_resolution) - 0.5; - vec3 localpos_floored = floor(localpos); - vec3 trilinear_weight = fract(localpos); + vec3 localpos_floored = floor(localpos); + vec3 trilinear_weight = fract(localpos); - float weight_accum = 0.0; - vec3 irradiance_accum = vec3(0.0); + float weight_accum = 0.0; + vec3 irradiance_accum = vec3(0.0); - /* For each neighboor cells */ - for (int i = 0; i < 8; ++i) { - ivec3 offset = ivec3(i, i >> 1, i >> 2) & ivec3(1); - vec3 cell_cos = clamp(localpos_floored + vec3(offset), vec3(0.0), vec3(gd.g_resolution) - 1.0); + /* For each neighboor cells */ + for (int i = 0; i < 8; ++i) { + ivec3 offset = ivec3(i, i >> 1, i >> 2) & ivec3(1); + vec3 cell_cos = clamp(localpos_floored + vec3(offset), vec3(0.0), vec3(gd.g_resolution) - 1.0); - /* Keep in sync with update_irradiance_probe */ - ivec3 icell_cos = ivec3(gd.g_level_bias * floor(cell_cos / gd.g_level_bias)); - int cell = gd.g_offset + icell_cos.z - + icell_cos.y * gd.g_resolution.z - + icell_cos.x * gd.g_resolution.z * gd.g_resolution.y; + /* Keep in sync with update_irradiance_probe */ + ivec3 icell_cos = ivec3(gd.g_level_bias * floor(cell_cos / gd.g_level_bias)); + int cell = gd.g_offset + icell_cos.z + icell_cos.y * gd.g_resolution.z + + icell_cos.x * gd.g_resolution.z * gd.g_resolution.y; - vec3 color = irradiance_from_cell_get(cell, N); + vec3 color = irradiance_from_cell_get(cell, N); - /* We need this because we render probes in world space (so we need light vector in WS). - * And rendering them in local probe space is too much problem. */ - vec3 ws_cell_location = gd.g_corner + - (gd.g_increment_x * cell_cos.x + - gd.g_increment_y * cell_cos.y + - gd.g_increment_z * cell_cos.z); + /* We need this because we render probes in world space (so we need light vector in WS). + * And rendering them in local probe space is too much problem. */ + vec3 ws_cell_location = gd.g_corner + + (gd.g_increment_x * cell_cos.x + gd.g_increment_y * cell_cos.y + + gd.g_increment_z * cell_cos.z); - vec3 ws_point_to_cell = ws_cell_location - W; - float ws_dist_point_to_cell = length(ws_point_to_cell); - vec3 ws_light = ws_point_to_cell / ws_dist_point_to_cell; + vec3 ws_point_to_cell = ws_cell_location - W; + float ws_dist_point_to_cell = length(ws_point_to_cell); + vec3 ws_light = ws_point_to_cell / ws_dist_point_to_cell; - /* Smooth backface test */ - float weight = saturate(dot(ws_light, N)); + /* Smooth backface test */ + float weight = saturate(dot(ws_light, N)); - /* Precomputed visibility */ - weight *= load_visibility_cell(cell, ws_light, ws_dist_point_to_cell, gd.g_vis_bias, gd.g_vis_bleed, gd.g_vis_range); + /* Precomputed visibility */ + weight *= load_visibility_cell( + cell, ws_light, ws_dist_point_to_cell, gd.g_vis_bias, gd.g_vis_bleed, gd.g_vis_range); - /* Smoother transition */ - weight += prbIrradianceSmooth; + /* Smoother transition */ + weight += prbIrradianceSmooth; - /* Trilinear weights */ - vec3 trilinear = mix(1.0 - trilinear_weight, trilinear_weight, offset); - weight *= trilinear.x * trilinear.y * trilinear.z; + /* Trilinear weights */ + vec3 trilinear = mix(1.0 - trilinear_weight, trilinear_weight, offset); + weight *= trilinear.x * trilinear.y * trilinear.z; - /* Avoid zero weight */ - weight = max(0.00001, weight); + /* Avoid zero weight */ + weight = max(0.00001, weight); - weight_accum += weight; - irradiance_accum += color * weight; - } + weight_accum += weight; + irradiance_accum += color * weight; + } - return irradiance_accum / weight_accum; + return irradiance_accum / weight_accum; } vec3 probe_evaluate_world_diff(vec3 N) { - return irradiance_from_cell_get(0, N); + return irradiance_from_cell_get(0, N); } #endif /* IRRADIANCE_LIB */ diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_frag.glsl index afffccc3751..2807488db6c 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_frag.glsl @@ -8,7 +8,9 @@ out vec4 FragColor; void main() { - vec4 refco = ViewProjectionMatrix * vec4(worldPosition, 1.0); - refco.xy /= refco.w; - FragColor = vec4(textureLod(probePlanars, vec3(refco.xy * vec2(-0.5, 0.5) + 0.5, float(probeIdx)), 0.0).rgb, 1.0); + vec4 refco = ViewProjectionMatrix * vec4(worldPosition, 1.0); + refco.xy /= refco.w; + FragColor = vec4( + textureLod(probePlanars, vec3(refco.xy * vec2(-0.5, 0.5) + 0.5, float(probeIdx)), 0.0).rgb, + 1.0); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_vert.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_vert.glsl index a71a3bef1e1..540f2ac4728 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_display_vert.glsl @@ -9,7 +9,7 @@ flat out int probeIdx; void main() { - gl_Position = ViewProjectionMatrix * probe_mat * vec4(pos, 1.0); - worldPosition = (probe_mat * vec4(pos, 1.0)).xyz; - probeIdx = probe_id; + gl_Position = ViewProjectionMatrix * probe_mat * vec4(pos, 1.0); + worldPosition = (probe_mat * vec4(pos, 1.0)).xyz; + probeIdx = probe_id; } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_frag.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_frag.glsl index 3b8a044154b..9c765ee72b6 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_frag.glsl @@ -12,29 +12,29 @@ out vec4 FragColor; float brightness(vec3 c) { - return max(max(c.r, c.g), c.b); + return max(max(c.r, c.g), c.b); } void main() { #if 0 - /* Reconstructing Target uvs like this avoid missing pixels if NPO2 */ - vec2 uvs = gl_FragCoord.xy * 2.0 / vec2(textureSize(source, 0)); + /* Reconstructing Target uvs like this avoid missing pixels if NPO2 */ + vec2 uvs = gl_FragCoord.xy * 2.0 / vec2(textureSize(source, 0)); - FragColor = textureLod(source, vec3(uvs, layer), 0.0); + FragColor = textureLod(source, vec3(uvs, layer), 0.0); #else - vec2 texel_size = 1.0 / vec2(textureSize(source, 0)); - vec2 uvs = gl_FragCoord.xy * 2.0 * texel_size; - vec4 ofs = texel_size.xyxy * vec4(0.75, 0.75, -0.75, -0.75); - - FragColor = textureLod(source, vec3(uvs + ofs.xy, layer), 0.0); - FragColor += textureLod(source, vec3(uvs + ofs.xw, layer), 0.0); - FragColor += textureLod(source, vec3(uvs + ofs.zy, layer), 0.0); - FragColor += textureLod(source, vec3(uvs + ofs.zw, layer), 0.0); - FragColor *= 0.25; - - /* Clamped brightness. */ - float luma = max(1e-8, brightness(FragColor.rgb)); - FragColor *= 1.0 - max(0.0, luma - fireflyFactor) / luma; + vec2 texel_size = 1.0 / vec2(textureSize(source, 0)); + vec2 uvs = gl_FragCoord.xy * 2.0 * texel_size; + vec4 ofs = texel_size.xyxy * vec4(0.75, 0.75, -0.75, -0.75); + + FragColor = textureLod(source, vec3(uvs + ofs.xy, layer), 0.0); + FragColor += textureLod(source, vec3(uvs + ofs.xw, layer), 0.0); + FragColor += textureLod(source, vec3(uvs + ofs.zy, layer), 0.0); + FragColor += textureLod(source, vec3(uvs + ofs.zw, layer), 0.0); + FragColor *= 0.25; + + /* Clamped brightness. */ + float luma = max(1e-8, brightness(FragColor.rgb)); + FragColor *= 1.0 - max(0.0, luma - fireflyFactor) / luma; #endif } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_geom.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_geom.glsl index 721cc8789a0..54847b612e2 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_geom.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_geom.glsl @@ -1,24 +1,25 @@ layout(triangles) in; -layout(triangle_strip, max_vertices=3) out; +layout(triangle_strip, max_vertices = 3) out; in int instance[]; in vec2 vPos[]; flat out float layer; -void main() { - gl_Layer = instance[0]; - layer = float(instance[0]); +void main() +{ + gl_Layer = instance[0]; + layer = float(instance[0]); - gl_Position = vec4(vPos[0], 0.0, 1.0); - EmitVertex(); + gl_Position = vec4(vPos[0], 0.0, 1.0); + EmitVertex(); - gl_Position = vec4(vPos[1], 0.0, 1.0); - EmitVertex(); + gl_Position = vec4(vPos[1], 0.0, 1.0); + EmitVertex(); - gl_Position = vec4(vPos[2], 0.0, 1.0); - EmitVertex(); + gl_Position = vec4(vPos[2], 0.0, 1.0); + EmitVertex(); - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_vert.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_vert.glsl index d682e39d8ad..1c943bd51bc 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_planar_downsample_vert.glsl @@ -4,7 +4,8 @@ in vec2 pos; out int instance; out vec2 vPos; -void main() { - instance = gl_InstanceID; - vPos = pos; +void main() +{ + instance = gl_InstanceID; + vPos = pos; } diff --git a/source/blender/draw/engines/eevee/shaders/lightprobe_vert.glsl b/source/blender/draw/engines/eevee/shaders/lightprobe_vert.glsl index bbb77af673a..8639ca6fa1b 100644 --- a/source/blender/draw/engines/eevee/shaders/lightprobe_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lightprobe_vert.glsl @@ -4,7 +4,8 @@ in vec3 pos; out vec4 vPos; flat out int face; -void main() { - vPos = vec4(pos, 1.0); - face = gl_InstanceID; +void main() +{ + vPos = vec4(pos, 1.0); + face = gl_InstanceID; } diff --git a/source/blender/draw/engines/eevee/shaders/lights_lib.glsl b/source/blender/draw/engines/eevee/shaders/lights_lib.glsl index e12d76596d3..d01daecba9a 100644 --- a/source/blender/draw/engines/eevee/shaders/lights_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/lights_lib.glsl @@ -4,82 +4,84 @@ uniform sampler2DArray shadowCascadeTexture; #define LAMPS_LIB -layout(std140) uniform shadow_block { - ShadowData shadows_data[MAX_SHADOW]; - ShadowCubeData shadows_cube_data[MAX_SHADOW_CUBE]; - ShadowCascadeData shadows_cascade_data[MAX_SHADOW_CASCADE]; +layout(std140) uniform shadow_block +{ + ShadowData shadows_data[MAX_SHADOW]; + ShadowCubeData shadows_cube_data[MAX_SHADOW_CUBE]; + ShadowCascadeData shadows_cascade_data[MAX_SHADOW_CASCADE]; }; -layout(std140) uniform light_block { - LightData lights_data[MAX_LIGHT]; +layout(std140) uniform light_block +{ + LightData lights_data[MAX_LIGHT]; }; /* type */ -#define POINT 0.0 -#define SUN 1.0 -#define SPOT 2.0 -#define AREA_RECT 4.0 +#define POINT 0.0 +#define SUN 1.0 +#define SPOT 2.0 +#define AREA_RECT 4.0 /* Used to define the area light shape, doesn't directly correspond to a Blender light type. */ #define AREA_ELLIPSE 100.0 #if defined(SHADOW_VSM) -#define ShadowSample vec2 -#define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).rg -#define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).rg +# define ShadowSample vec2 +# define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).rg +# define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).rg #elif defined(SHADOW_ESM) -#define ShadowSample float -#define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).r -#define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).r +# define ShadowSample float +# define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).r +# define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).r #else -#define ShadowSample float -#define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).r -#define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).r +# define ShadowSample float +# define sample_cube(vec, id) texture_octahedron(shadowCubeTexture, vec4(vec, id)).r +# define sample_cascade(vec, id) texture(shadowCascadeTexture, vec3(vec, id)).r #endif #if defined(SHADOW_VSM) -#define get_depth_delta(dist, s) (dist - s.x) +# define get_depth_delta(dist, s) (dist - s.x) #else -#define get_depth_delta(dist, s) (dist - s) +# define get_depth_delta(dist, s) (dist - s) #endif -/* ----------------------------------------------------------- */ -/* ----------------------- Shadow tests ---------------------- */ -/* ----------------------------------------------------------- */ + /* ----------------------------------------------------------- */ + /* ----------------------- Shadow tests ---------------------- */ + /* ----------------------------------------------------------- */ #if defined(SHADOW_VSM) float shadow_test(ShadowSample moments, float dist, ShadowData sd) { - float p = 0.0; + float p = 0.0; - if (dist <= moments.x) { - p = 1.0; - } + if (dist <= moments.x) { + p = 1.0; + } - float variance = moments.y - (moments.x * moments.x); - variance = max(variance, sd.sh_bias / 10.0); + float variance = moments.y - (moments.x * moments.x); + variance = max(variance, sd.sh_bias / 10.0); - float d = moments.x - dist; - float p_max = variance / (variance + d * d); + float d = moments.x - dist; + float p_max = variance / (variance + d * d); - /* Now reduce light-bleeding by removing the [0, x] tail and linearly rescaling (x, 1] */ - p_max = clamp((p_max - sd.sh_bleed) / (1.0 - sd.sh_bleed), 0.0, 1.0); + /* Now reduce light-bleeding by removing the [0, x] tail and linearly rescaling (x, 1] */ + p_max = clamp((p_max - sd.sh_bleed) / (1.0 - sd.sh_bleed), 0.0, 1.0); - return max(p, p_max); + return max(p, p_max); } #elif defined(SHADOW_ESM) float shadow_test(ShadowSample z, float dist, ShadowData sd) { - return saturate(exp(sd.sh_exp * (z - dist + sd.sh_bias))); + return saturate(exp(sd.sh_exp * (z - dist + sd.sh_bias))); } #else float shadow_test(ShadowSample z, float dist, ShadowData sd) { - return step(0, z - dist + sd.sh_bias); + return step(0, z - dist + sd.sh_bias); } #endif @@ -90,61 +92,60 @@ float shadow_test(ShadowSample z, float dist, ShadowData sd) float shadow_cubemap(ShadowData sd, ShadowCubeData scd, float texid, vec3 W) { - vec3 cubevec = W - scd.position.xyz; - float dist = length(cubevec); + vec3 cubevec = W - scd.position.xyz; + float dist = length(cubevec); - cubevec /= dist; + cubevec /= dist; - ShadowSample s = sample_cube(cubevec, texid); - return shadow_test(s, dist, sd); + ShadowSample s = sample_cube(cubevec, texid); + return shadow_test(s, dist, sd); } float evaluate_cascade(ShadowData sd, mat4 shadowmat, vec3 W, float range, float texid) { - vec4 shpos = shadowmat * vec4(W, 1.0); - float dist = shpos.z * range; - - ShadowSample s = sample_cascade(shpos.xy, texid); - float vis = shadow_test(s, dist, sd); - - /* If fragment is out of shadowmap range, do not occlude */ - if (shpos.z < 1.0 && shpos.z > 0.0) { - return vis; - } - else { - return 1.0; - } + vec4 shpos = shadowmat * vec4(W, 1.0); + float dist = shpos.z * range; + + ShadowSample s = sample_cascade(shpos.xy, texid); + float vis = shadow_test(s, dist, sd); + + /* If fragment is out of shadowmap range, do not occlude */ + if (shpos.z < 1.0 && shpos.z > 0.0) { + return vis; + } + else { + return 1.0; + } } float shadow_cascade(ShadowData sd, int scd_id, float texid, vec3 W) { - vec4 view_z = vec4(dot(W - cameraPos, cameraForward)); - vec4 weights = smoothstep( - shadows_cascade_data[scd_id].split_end_distances, - shadows_cascade_data[scd_id].split_start_distances.yzwx, - view_z); - - weights.yzw -= weights.xyz; - - vec4 vis = vec4(1.0); - float range = abs(sd.sh_far - sd.sh_near); /* Same factor as in get_cascade_world_distance(). */ - - /* Branching using (weights > 0.0) is reaally slooow on intel so avoid it for now. */ - /* TODO OPTI: Only do 2 samples and blend. */ - vis.x = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[0], W, range, texid + 0); - vis.y = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[1], W, range, texid + 1); - vis.z = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[2], W, range, texid + 2); - vis.w = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[3], W, range, texid + 3); - - float weight_sum = dot(vec4(1.0), weights); - if (weight_sum > 0.9999) { - float vis_sum = dot(vec4(1.0), vis * weights); - return vis_sum / weight_sum; - } - else { - float vis_sum = dot(vec4(1.0), vis * step(0.001, weights)); - return mix(1.0, vis_sum, weight_sum); - } + vec4 view_z = vec4(dot(W - cameraPos, cameraForward)); + vec4 weights = smoothstep(shadows_cascade_data[scd_id].split_end_distances, + shadows_cascade_data[scd_id].split_start_distances.yzwx, + view_z); + + weights.yzw -= weights.xyz; + + vec4 vis = vec4(1.0); + float range = abs(sd.sh_far - sd.sh_near); /* Same factor as in get_cascade_world_distance(). */ + + /* Branching using (weights > 0.0) is reaally slooow on intel so avoid it for now. */ + /* TODO OPTI: Only do 2 samples and blend. */ + vis.x = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[0], W, range, texid + 0); + vis.y = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[1], W, range, texid + 1); + vis.z = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[2], W, range, texid + 2); + vis.w = evaluate_cascade(sd, shadows_cascade_data[scd_id].shadowmat[3], W, range, texid + 3); + + float weight_sum = dot(vec4(1.0), weights); + if (weight_sum > 0.9999) { + float vis_sum = dot(vec4(1.0), vis * weights); + return vis_sum / weight_sum; + } + else { + float vis_sum = dot(vec4(1.0), vis * step(0.001, weights)); + return mix(1.0, vis_sum, weight_sum); + } } /* ----------------------------------------------------------- */ @@ -156,170 +157,169 @@ float shadow_cascade(ShadowData sd, int scd_id, float texid, vec3 W) * http://www.frostbite.com/wp-content/uploads/2014/11/course_notes_moving_frostbite_to_pbr.pdf */ float distance_attenuation(float dist_sqr, float inv_sqr_influence) { - float factor = dist_sqr * inv_sqr_influence; - float fac = saturate(1.0 - factor * factor); - return fac * fac; + float factor = dist_sqr * inv_sqr_influence; + float fac = saturate(1.0 - factor * factor); + return fac * fac; } float spot_attenuation(LightData ld, vec3 l_vector) { - float z = dot(ld.l_forward, l_vector.xyz); - vec3 lL = l_vector.xyz / z; - float x = dot(ld.l_right, lL) / ld.l_sizex; - float y = dot(ld.l_up, lL) / ld.l_sizey; - float ellipse = inversesqrt(1.0 + x * x + y * y); - float spotmask = smoothstep(0.0, 1.0, (ellipse - ld.l_spot_size) / ld.l_spot_blend); - return spotmask; + float z = dot(ld.l_forward, l_vector.xyz); + vec3 lL = l_vector.xyz / z; + float x = dot(ld.l_right, lL) / ld.l_sizex; + float y = dot(ld.l_up, lL) / ld.l_sizey; + float ellipse = inversesqrt(1.0 + x * x + y * y); + float spotmask = smoothstep(0.0, 1.0, (ellipse - ld.l_spot_size) / ld.l_spot_blend); + return spotmask; } -float light_visibility(LightData ld, vec3 W, +float light_visibility(LightData ld, + vec3 W, #ifndef VOLUMETRICS vec3 viewPosition, vec3 viewNormal, #endif vec4 l_vector) { - float vis = 1.0; - - if (ld.l_type == SPOT) { - vis *= spot_attenuation(ld, l_vector.xyz); - } - if (ld.l_type >= SPOT) { - vis *= step(0.0, -dot(l_vector.xyz, ld.l_forward)); - } - if (ld.l_type != SUN) { - vis *= distance_attenuation(l_vector.w * l_vector.w, ld.l_influence); - } + float vis = 1.0; + + if (ld.l_type == SPOT) { + vis *= spot_attenuation(ld, l_vector.xyz); + } + if (ld.l_type >= SPOT) { + vis *= step(0.0, -dot(l_vector.xyz, ld.l_forward)); + } + if (ld.l_type != SUN) { + vis *= distance_attenuation(l_vector.w * l_vector.w, ld.l_influence); + } #if !defined(VOLUMETRICS) || defined(VOLUME_SHADOW) - /* shadowing */ - if (ld.l_shadowid >= 0.0 && vis > 0.001) { - ShadowData data = shadows_data[int(ld.l_shadowid)]; - - if (ld.l_type == SUN) { - vis *= shadow_cascade( - data, int(data.sh_data_start), - data.sh_tex_start, W); - } - else { - vis *= shadow_cubemap( - data, shadows_cube_data[int(data.sh_data_start)], - data.sh_tex_start, W); - } - -#ifndef VOLUMETRICS - /* Only compute if not already in shadow. */ - if (data.sh_contact_dist > 0.0) { - vec4 L = (ld.l_type != SUN) ? l_vector : vec4(-ld.l_forward, 1.0); - float trace_distance = (ld.l_type != SUN) ? min(data.sh_contact_dist, l_vector.w) : data.sh_contact_dist; - - vec3 T, B; - make_orthonormal_basis(L.xyz / L.w, T, B); - - vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); - rand.zw *= fast_sqrt(rand.y) * data.sh_contact_spread; - - /* We use the full l_vector.xyz so that the spread is minimize - * if the shading point is further away from the light source */ - vec3 ray_dir = L.xyz + T * rand.z + B * rand.w; - ray_dir = transform_direction(ViewMatrix, ray_dir); - ray_dir = normalize(ray_dir); - - vec3 ray_ori = viewPosition; - - if (dot(viewNormal, ray_dir) <= 0.0) { - return vis; - } - - float bias = 0.5; /* Constant Bias */ - bias += 1.0 - abs(dot(viewNormal, ray_dir)); /* Angle dependent bias */ - bias *= gl_FrontFacing ? data.sh_contact_offset : -data.sh_contact_offset; - - vec3 nor_bias = viewNormal * bias; - ray_ori += nor_bias; - - ray_dir *= trace_distance; - ray_dir -= nor_bias; - - vec3 hit_pos = raycast(-1, ray_ori, ray_dir, data.sh_contact_thickness, rand.x, - 0.1, 0.001, false); - - if (hit_pos.z > 0.0) { - hit_pos = get_view_space_from_depth(hit_pos.xy, hit_pos.z); - float hit_dist = distance(viewPosition, hit_pos); - float dist_ratio = hit_dist / trace_distance; - return vis * saturate(dist_ratio * dist_ratio * dist_ratio); - } - } -#endif - } + /* shadowing */ + if (ld.l_shadowid >= 0.0 && vis > 0.001) { + ShadowData data = shadows_data[int(ld.l_shadowid)]; + + if (ld.l_type == SUN) { + vis *= shadow_cascade(data, int(data.sh_data_start), data.sh_tex_start, W); + } + else { + vis *= shadow_cubemap( + data, shadows_cube_data[int(data.sh_data_start)], data.sh_tex_start, W); + } + +# ifndef VOLUMETRICS + /* Only compute if not already in shadow. */ + if (data.sh_contact_dist > 0.0) { + vec4 L = (ld.l_type != SUN) ? l_vector : vec4(-ld.l_forward, 1.0); + float trace_distance = (ld.l_type != SUN) ? min(data.sh_contact_dist, l_vector.w) : + data.sh_contact_dist; + + vec3 T, B; + make_orthonormal_basis(L.xyz / L.w, T, B); + + vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); + rand.zw *= fast_sqrt(rand.y) * data.sh_contact_spread; + + /* We use the full l_vector.xyz so that the spread is minimize + * if the shading point is further away from the light source */ + vec3 ray_dir = L.xyz + T * rand.z + B * rand.w; + ray_dir = transform_direction(ViewMatrix, ray_dir); + ray_dir = normalize(ray_dir); + + vec3 ray_ori = viewPosition; + + if (dot(viewNormal, ray_dir) <= 0.0) { + return vis; + } + + float bias = 0.5; /* Constant Bias */ + bias += 1.0 - abs(dot(viewNormal, ray_dir)); /* Angle dependent bias */ + bias *= gl_FrontFacing ? data.sh_contact_offset : -data.sh_contact_offset; + + vec3 nor_bias = viewNormal * bias; + ray_ori += nor_bias; + + ray_dir *= trace_distance; + ray_dir -= nor_bias; + + vec3 hit_pos = raycast( + -1, ray_ori, ray_dir, data.sh_contact_thickness, rand.x, 0.1, 0.001, false); + + if (hit_pos.z > 0.0) { + hit_pos = get_view_space_from_depth(hit_pos.xy, hit_pos.z); + float hit_dist = distance(viewPosition, hit_pos); + float dist_ratio = hit_dist / trace_distance; + return vis * saturate(dist_ratio * dist_ratio * dist_ratio); + } + } +# endif + } #endif - return vis; + return vis; } #ifdef USE_LTC float light_diffuse(LightData ld, vec3 N, vec3 V, vec4 l_vector) { - if (ld.l_type == AREA_RECT) { - vec3 corners[4]; - corners[0] = normalize((l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * ld.l_sizey); - corners[1] = normalize((l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey); - corners[2] = normalize((l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey); - corners[3] = normalize((l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey); - - return ltc_evaluate_quad(corners, N); - } - else if (ld.l_type == AREA_ELLIPSE) { - vec3 points[3]; - points[0] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey; - points[1] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey; - points[2] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey; - - return ltc_evaluate_disk(N, V, mat3(1.0), points); - } - else { - float radius = ld.l_radius; - radius /= (ld.l_type == SUN) ? 1.0 : l_vector.w; - vec3 L = (ld.l_type == SUN) ? -ld.l_forward : (l_vector.xyz / l_vector.w); - - return ltc_evaluate_disk_simple(radius, dot(N, L)); - } + if (ld.l_type == AREA_RECT) { + vec3 corners[4]; + corners[0] = normalize((l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * ld.l_sizey); + corners[1] = normalize((l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey); + corners[2] = normalize((l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey); + corners[3] = normalize((l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey); + + return ltc_evaluate_quad(corners, N); + } + else if (ld.l_type == AREA_ELLIPSE) { + vec3 points[3]; + points[0] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey; + points[1] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey; + points[2] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey; + + return ltc_evaluate_disk(N, V, mat3(1.0), points); + } + else { + float radius = ld.l_radius; + radius /= (ld.l_type == SUN) ? 1.0 : l_vector.w; + vec3 L = (ld.l_type == SUN) ? -ld.l_forward : (l_vector.xyz / l_vector.w); + + return ltc_evaluate_disk_simple(radius, dot(N, L)); + } } float light_specular(LightData ld, vec4 ltc_mat, vec3 N, vec3 V, vec4 l_vector) { - if (ld.l_type == AREA_RECT) { - vec3 corners[4]; - corners[0] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * ld.l_sizey; - corners[1] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey; - corners[2] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey; - corners[3] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey; - - ltc_transform_quad(N, V, ltc_matrix(ltc_mat), corners); - - return ltc_evaluate_quad(corners, vec3(0.0, 0.0, 1.0)); - } - else { - bool is_ellipse = (ld.l_type == AREA_ELLIPSE); - float radius_x = is_ellipse ? ld.l_sizex : ld.l_radius; - float radius_y = is_ellipse ? ld.l_sizey : ld.l_radius; - - vec3 L = (ld.l_type == SUN) ? -ld.l_forward : l_vector.xyz; - vec3 Px = ld.l_right; - vec3 Py = ld.l_up; - - if (ld.l_type == SPOT || ld.l_type == POINT) { - make_orthonormal_basis(l_vector.xyz / l_vector.w, Px, Py); - } - - vec3 points[3]; - points[0] = (L + Px * -radius_x) + Py * -radius_y; - points[1] = (L + Px * radius_x) + Py * -radius_y; - points[2] = (L + Px * radius_x) + Py * radius_y; - - return ltc_evaluate_disk(N, V, ltc_matrix(ltc_mat), points); - } + if (ld.l_type == AREA_RECT) { + vec3 corners[4]; + corners[0] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * ld.l_sizey; + corners[1] = (l_vector.xyz + ld.l_right * -ld.l_sizex) + ld.l_up * -ld.l_sizey; + corners[2] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * -ld.l_sizey; + corners[3] = (l_vector.xyz + ld.l_right * ld.l_sizex) + ld.l_up * ld.l_sizey; + + ltc_transform_quad(N, V, ltc_matrix(ltc_mat), corners); + + return ltc_evaluate_quad(corners, vec3(0.0, 0.0, 1.0)); + } + else { + bool is_ellipse = (ld.l_type == AREA_ELLIPSE); + float radius_x = is_ellipse ? ld.l_sizex : ld.l_radius; + float radius_y = is_ellipse ? ld.l_sizey : ld.l_radius; + + vec3 L = (ld.l_type == SUN) ? -ld.l_forward : l_vector.xyz; + vec3 Px = ld.l_right; + vec3 Py = ld.l_up; + + if (ld.l_type == SPOT || ld.l_type == POINT) { + make_orthonormal_basis(l_vector.xyz / l_vector.w, Px, Py); + } + + vec3 points[3]; + points[0] = (L + Px * -radius_x) + Py * -radius_y; + points[1] = (L + Px * radius_x) + Py * -radius_y; + points[2] = (L + Px * radius_x) + Py * radius_y; + + return ltc_evaluate_disk(N, V, ltc_matrix(ltc_mat), points); + } } #endif @@ -329,123 +329,127 @@ float light_specular(LightData ld, vec4 ltc_mat, vec3 N, vec3 V, vec4 l_vector) #define SSS_LUT_BIAS (0.5 / float(SSS_LUT_SIZE)) #ifdef USE_TRANSLUCENCY -layout(std140) uniform sssProfile { - vec4 kernel[MAX_SSS_SAMPLES]; - vec4 radii_max_radius; - int sss_samples; +layout(std140) uniform sssProfile +{ + vec4 kernel[MAX_SSS_SAMPLES]; + vec4 radii_max_radius; + int sss_samples; }; uniform sampler1D sssTexProfile; -vec3 sss_profile(float s) { - s /= radii_max_radius.w; - return texture(sssTexProfile, saturate(s) * SSS_LUT_SCALE + SSS_LUT_BIAS).rgb; +vec3 sss_profile(float s) +{ + s /= radii_max_radius.w; + return texture(sssTexProfile, saturate(s) * SSS_LUT_SCALE + SSS_LUT_BIAS).rgb; } #endif vec3 light_translucent(LightData ld, vec3 W, vec3 N, vec4 l_vector, float scale) { #if !defined(USE_TRANSLUCENCY) || defined(VOLUMETRICS) - return vec3(0.0); + return vec3(0.0); #else - vec3 vis = vec3(1.0); - - if (ld.l_type == SPOT) { - vis *= spot_attenuation(ld, l_vector.xyz); - } - if (ld.l_type >= SPOT) { - vis *= step(0.0, -dot(l_vector.xyz, ld.l_forward)); - } - if (ld.l_type != SUN) { - vis *= distance_attenuation(l_vector.w * l_vector.w, ld.l_influence); - } - - /* Only shadowed light can produce translucency */ - if (ld.l_shadowid >= 0.0 && vis.x > 0.001) { - ShadowData data = shadows_data[int(ld.l_shadowid)]; - float delta; - - vec4 L = (ld.l_type != SUN) ? l_vector : vec4(-ld.l_forward, 1.0); - - vec3 T, B; - make_orthonormal_basis(L.xyz / L.w, T, B); - - vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); - rand.zw *= fast_sqrt(rand.y) * data.sh_blur; - - /* We use the full l_vector.xyz so that the spread is minimize - * if the shading point is further away from the light source */ - W = W + T * rand.z + B * rand.w; - - if (ld.l_type == SUN) { - int scd_id = int(data.sh_data_start); - vec4 view_z = vec4(dot(W - cameraPos, cameraForward)); - - vec4 weights = step(shadows_cascade_data[scd_id].split_end_distances, view_z); - float id = abs(4.0 - dot(weights, weights)); - - if (id > 3.0) { - return vec3(0.0); - } - - float range = abs(data.sh_far - data.sh_near); /* Same factor as in get_cascade_world_distance(). */ - - vec4 shpos = shadows_cascade_data[scd_id].shadowmat[int(id)] * vec4(W, 1.0); - float dist = shpos.z * range; - - if (shpos.z > 1.0 || shpos.z < 0.0) { - return vec3(0.0); - } - - ShadowSample s = sample_cascade(shpos.xy, data.sh_tex_start + id); - delta = get_depth_delta(dist, s); - } - else { - vec3 cubevec = W - shadows_cube_data[int(data.sh_data_start)].position.xyz; - float dist = length(cubevec); - cubevec /= dist; - - ShadowSample s = sample_cube(cubevec, data.sh_tex_start); - delta = get_depth_delta(dist, s); - } - - /* XXX : Removing Area Power. */ - /* TODO : put this out of the shader. */ - float falloff; - if (ld.l_type == AREA_RECT || ld.l_type == AREA_ELLIPSE) { - vis *= (ld.l_sizex * ld.l_sizey * 4.0 * M_PI) * (1.0 / 80.0); - if (ld.l_type == AREA_ELLIPSE) { - vis *= M_PI * 0.25; - } - vis *= 0.3 * 20.0 * max(0.0, dot(-ld.l_forward, l_vector.xyz / l_vector.w)); /* XXX ad hoc, empirical */ - vis /= (l_vector.w * l_vector.w); - falloff = dot(N, l_vector.xyz / l_vector.w); - } - else if (ld.l_type == SUN) { - vis /= 1.0f + (ld.l_radius * ld.l_radius * 0.5f); - vis *= ld.l_radius * ld.l_radius * M_PI; /* Removing area light power*/ - vis *= M_2PI * 0.78; /* Matching cycles with point light. */ - vis *= 0.082; /* XXX ad hoc, empirical */ - falloff = dot(N, -ld.l_forward); - } - else { - vis *= (4.0 * ld.l_radius * ld.l_radius) * (1.0 /10.0); - vis *= 1.5; /* XXX ad hoc, empirical */ - vis /= (l_vector.w * l_vector.w); - falloff = dot(N, l_vector.xyz / l_vector.w); - } - // vis *= M_1_PI; /* Normalize */ - - /* Applying profile */ - vis *= sss_profile(abs(delta) / scale); - - /* No transmittance at grazing angle (hide artifacts) */ - vis *= saturate(falloff * 2.0); - } - else { - vis = vec3(0.0); - } - - return vis; + vec3 vis = vec3(1.0); + + if (ld.l_type == SPOT) { + vis *= spot_attenuation(ld, l_vector.xyz); + } + if (ld.l_type >= SPOT) { + vis *= step(0.0, -dot(l_vector.xyz, ld.l_forward)); + } + if (ld.l_type != SUN) { + vis *= distance_attenuation(l_vector.w * l_vector.w, ld.l_influence); + } + + /* Only shadowed light can produce translucency */ + if (ld.l_shadowid >= 0.0 && vis.x > 0.001) { + ShadowData data = shadows_data[int(ld.l_shadowid)]; + float delta; + + vec4 L = (ld.l_type != SUN) ? l_vector : vec4(-ld.l_forward, 1.0); + + vec3 T, B; + make_orthonormal_basis(L.xyz / L.w, T, B); + + vec4 rand = texelfetch_noise_tex(gl_FragCoord.xy); + rand.zw *= fast_sqrt(rand.y) * data.sh_blur; + + /* We use the full l_vector.xyz so that the spread is minimize + * if the shading point is further away from the light source */ + W = W + T * rand.z + B * rand.w; + + if (ld.l_type == SUN) { + int scd_id = int(data.sh_data_start); + vec4 view_z = vec4(dot(W - cameraPos, cameraForward)); + + vec4 weights = step(shadows_cascade_data[scd_id].split_end_distances, view_z); + float id = abs(4.0 - dot(weights, weights)); + + if (id > 3.0) { + return vec3(0.0); + } + + float range = abs(data.sh_far - + data.sh_near); /* Same factor as in get_cascade_world_distance(). */ + + vec4 shpos = shadows_cascade_data[scd_id].shadowmat[int(id)] * vec4(W, 1.0); + float dist = shpos.z * range; + + if (shpos.z > 1.0 || shpos.z < 0.0) { + return vec3(0.0); + } + + ShadowSample s = sample_cascade(shpos.xy, data.sh_tex_start + id); + delta = get_depth_delta(dist, s); + } + else { + vec3 cubevec = W - shadows_cube_data[int(data.sh_data_start)].position.xyz; + float dist = length(cubevec); + cubevec /= dist; + + ShadowSample s = sample_cube(cubevec, data.sh_tex_start); + delta = get_depth_delta(dist, s); + } + + /* XXX : Removing Area Power. */ + /* TODO : put this out of the shader. */ + float falloff; + if (ld.l_type == AREA_RECT || ld.l_type == AREA_ELLIPSE) { + vis *= (ld.l_sizex * ld.l_sizey * 4.0 * M_PI) * (1.0 / 80.0); + if (ld.l_type == AREA_ELLIPSE) { + vis *= M_PI * 0.25; + } + vis *= 0.3 * 20.0 * + max(0.0, dot(-ld.l_forward, l_vector.xyz / l_vector.w)); /* XXX ad hoc, empirical */ + vis /= (l_vector.w * l_vector.w); + falloff = dot(N, l_vector.xyz / l_vector.w); + } + else if (ld.l_type == SUN) { + vis /= 1.0f + (ld.l_radius * ld.l_radius * 0.5f); + vis *= ld.l_radius * ld.l_radius * M_PI; /* Removing area light power*/ + vis *= M_2PI * 0.78; /* Matching cycles with point light. */ + vis *= 0.082; /* XXX ad hoc, empirical */ + falloff = dot(N, -ld.l_forward); + } + else { + vis *= (4.0 * ld.l_radius * ld.l_radius) * (1.0 / 10.0); + vis *= 1.5; /* XXX ad hoc, empirical */ + vis /= (l_vector.w * l_vector.w); + falloff = dot(N, l_vector.xyz / l_vector.w); + } + // vis *= M_1_PI; /* Normalize */ + + /* Applying profile */ + vis *= sss_profile(abs(delta) / scale); + + /* No transmittance at grazing angle (hide artifacts) */ + vis *= saturate(falloff * 2.0); + } + else { + vis = vec3(0.0); + } + + return vis; #endif } diff --git a/source/blender/draw/engines/eevee/shaders/lit_surface_frag.glsl b/source/blender/draw/engines/eevee/shaders/lit_surface_frag.glsl index 5ae94cb7fe4..7dba3738c12 100644 --- a/source/blender/draw/engines/eevee/shaders/lit_surface_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/lit_surface_frag.glsl @@ -5,9 +5,9 @@ uniform float refractionDepth; #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ in vec3 worldPosition; @@ -38,469 +38,482 @@ uniform int hairThicknessRes = 1; * This leads to a lot of deadcode. Better idea would be to only generate the one needed. */ #if !defined(SURFACE_DEFAULT) - #define SURFACE_DEFAULT - #define CLOSURE_NAME eevee_closure_default - #define CLOSURE_DIFFUSE - #define CLOSURE_GLOSSY +#define SURFACE_DEFAULT +#define CLOSURE_NAME eevee_closure_default +#define CLOSURE_DIFFUSE +#define CLOSURE_GLOSSY #endif /* SURFACE_DEFAULT */ #if !defined(SURFACE_PRINCIPLED) && !defined(CLOSURE_NAME) - #define SURFACE_PRINCIPLED - #define CLOSURE_NAME eevee_closure_principled - #define CLOSURE_DIFFUSE - #define CLOSURE_GLOSSY - #define CLOSURE_CLEARCOAT - #define CLOSURE_REFRACTION - #define CLOSURE_SUBSURFACE +#define SURFACE_PRINCIPLED +#define CLOSURE_NAME eevee_closure_principled +#define CLOSURE_DIFFUSE +#define CLOSURE_GLOSSY +#define CLOSURE_CLEARCOAT +#define CLOSURE_REFRACTION +#define CLOSURE_SUBSURFACE #endif /* SURFACE_PRINCIPLED */ #if !defined(SURFACE_CLEARCOAT) && !defined(CLOSURE_NAME) - #define SURFACE_CLEARCOAT - #define CLOSURE_NAME eevee_closure_clearcoat - #define CLOSURE_GLOSSY - #define CLOSURE_CLEARCOAT +#define SURFACE_CLEARCOAT +#define CLOSURE_NAME eevee_closure_clearcoat +#define CLOSURE_GLOSSY +#define CLOSURE_CLEARCOAT #endif /* SURFACE_CLEARCOAT */ #if !defined(SURFACE_DIFFUSE) && !defined(CLOSURE_NAME) - #define SURFACE_DIFFUSE - #define CLOSURE_NAME eevee_closure_diffuse - #define CLOSURE_DIFFUSE +#define SURFACE_DIFFUSE +#define CLOSURE_NAME eevee_closure_diffuse +#define CLOSURE_DIFFUSE #endif /* SURFACE_DIFFUSE */ #if !defined(SURFACE_SUBSURFACE) && !defined(CLOSURE_NAME) - #define SURFACE_SUBSURFACE - #define CLOSURE_NAME eevee_closure_subsurface - #define CLOSURE_DIFFUSE - #define CLOSURE_SUBSURFACE +#define SURFACE_SUBSURFACE +#define CLOSURE_NAME eevee_closure_subsurface +#define CLOSURE_DIFFUSE +#define CLOSURE_SUBSURFACE #endif /* SURFACE_SUBSURFACE */ #if !defined(SURFACE_SKIN) && !defined(CLOSURE_NAME) - #define SURFACE_SKIN - #define CLOSURE_NAME eevee_closure_skin - #define CLOSURE_DIFFUSE - #define CLOSURE_SUBSURFACE - #define CLOSURE_GLOSSY +#define SURFACE_SKIN +#define CLOSURE_NAME eevee_closure_skin +#define CLOSURE_DIFFUSE +#define CLOSURE_SUBSURFACE +#define CLOSURE_GLOSSY #endif /* SURFACE_SKIN */ #if !defined(SURFACE_GLOSSY) && !defined(CLOSURE_NAME) - #define SURFACE_GLOSSY - #define CLOSURE_NAME eevee_closure_glossy - #define CLOSURE_GLOSSY +#define SURFACE_GLOSSY +#define CLOSURE_NAME eevee_closure_glossy +#define CLOSURE_GLOSSY #endif /* SURFACE_GLOSSY */ #if !defined(SURFACE_REFRACT) && !defined(CLOSURE_NAME) - #define SURFACE_REFRACT - #define CLOSURE_NAME eevee_closure_refraction - #define CLOSURE_REFRACTION +#define SURFACE_REFRACT +#define CLOSURE_NAME eevee_closure_refraction +#define CLOSURE_REFRACTION #endif /* SURFACE_REFRACT */ #if !defined(SURFACE_GLASS) && !defined(CLOSURE_NAME) - #define SURFACE_GLASS - #define CLOSURE_NAME eevee_closure_glass - #define CLOSURE_GLOSSY - #define CLOSURE_REFRACTION +#define SURFACE_GLASS +#define CLOSURE_NAME eevee_closure_glass +#define CLOSURE_GLOSSY +#define CLOSURE_REFRACTION #endif /* SURFACE_GLASS */ /* Safety : CLOSURE_CLEARCOAT implies CLOSURE_GLOSSY */ #ifdef CLOSURE_CLEARCOAT - #ifndef CLOSURE_GLOSSY - #define CLOSURE_GLOSSY - #endif +#ifndef CLOSURE_GLOSSY +# define CLOSURE_GLOSSY +#endif #endif /* CLOSURE_CLEARCOAT */ -void CLOSURE_NAME( - vec3 N +void CLOSURE_NAME(vec3 N #ifdef CLOSURE_DIFFUSE - , vec3 albedo + , + vec3 albedo #endif #ifdef CLOSURE_GLOSSY - , vec3 f0, int ssr_id + , + vec3 f0, + int ssr_id #endif #if defined(CLOSURE_GLOSSY) || defined(CLOSURE_REFRACTION) - , float roughness + , + float roughness #endif #ifdef CLOSURE_CLEARCOAT - , vec3 C_N, float C_intensity, float C_roughness + , + vec3 C_N, + float C_intensity, + float C_roughness #endif #if defined(CLOSURE_GLOSSY) || defined(CLOSURE_DIFFUSE) - , float ao + , + float ao #endif #ifdef CLOSURE_SUBSURFACE - , float sss_scale + , + float sss_scale #endif #ifdef CLOSURE_REFRACTION - , float ior + , + float ior #endif #ifdef CLOSURE_DIFFUSE - , out vec3 out_diff + , + out vec3 out_diff #endif #ifdef CLOSURE_SUBSURFACE - , out vec3 out_trans + , + out vec3 out_trans #endif #ifdef CLOSURE_GLOSSY - , out vec3 out_spec + , + out vec3 out_spec #endif #ifdef CLOSURE_REFRACTION - , out vec3 out_refr + , + out vec3 out_refr #endif #ifdef CLOSURE_GLOSSY - , out vec3 ssr_spec + , + out vec3 ssr_spec #endif - ) +) { #ifdef CLOSURE_DIFFUSE - out_diff = vec3(0.0); + out_diff = vec3(0.0); #endif #ifdef CLOSURE_SUBSURFACE - out_trans = vec3(0.0); + out_trans = vec3(0.0); #endif #ifdef CLOSURE_GLOSSY - out_spec = vec3(0.0); + out_spec = vec3(0.0); #endif #ifdef CLOSURE_REFRACTION - out_refr = vec3(0.0); + out_refr = vec3(0.0); #endif #ifdef SHADOW_SHADER - return; + return; #endif - /* Zero length vectors cause issues, see: T51979. */ - float len = length(N); - if (isnan(len)) { - return; - } - N /= len; + /* Zero length vectors cause issues, see: T51979. */ + float len = length(N); + if (isnan(len)) { + return; + } + N /= len; #ifdef CLOSURE_CLEARCOAT - len = length(C_N); - if (isnan(len)) { - return; - } - C_N /= len; + len = length(C_N); + if (isnan(len)) { + return; + } + C_N /= len; #endif #if defined(CLOSURE_GLOSSY) || defined(CLOSURE_REFRACTION) - roughness = clamp(roughness, 1e-8, 0.9999); - float roughnessSquared = roughness * roughness; + roughness = clamp(roughness, 1e-8, 0.9999); + float roughnessSquared = roughness * roughness; #endif #ifdef CLOSURE_CLEARCOAT - C_roughness = clamp(C_roughness, 1e-8, 0.9999); - float C_roughnessSquared = C_roughness * C_roughness; + C_roughness = clamp(C_roughness, 1e-8, 0.9999); + float C_roughnessSquared = C_roughness * C_roughness; #endif - vec3 V = cameraVec; + vec3 V = cameraVec; - vec4 rand = texelFetch(utilTex, ivec3(ivec2(gl_FragCoord.xy) % LUT_SIZE, 2.0), 0); + vec4 rand = texelFetch(utilTex, ivec3(ivec2(gl_FragCoord.xy) % LUT_SIZE, 2.0), 0); - /* ---------------------------------------------------------------- */ - /* -------------------- SCENE LIGHTS LIGHTING --------------------- */ - /* ---------------------------------------------------------------- */ + /* ---------------------------------------------------------------- */ + /* -------------------- SCENE LIGHTS LIGHTING --------------------- */ + /* ---------------------------------------------------------------- */ #ifdef CLOSURE_GLOSSY - vec2 lut_uv = lut_coords_ltc(dot(N, V), roughness); - vec4 ltc_mat = texture(utilTex, vec3(lut_uv, 0.0)).rgba; + vec2 lut_uv = lut_coords_ltc(dot(N, V), roughness); + vec4 ltc_mat = texture(utilTex, vec3(lut_uv, 0.0)).rgba; #endif #ifdef CLOSURE_CLEARCOAT - vec2 lut_uv_clear = lut_coords_ltc(dot(C_N, V), C_roughness); - vec4 ltc_mat_clear = texture(utilTex, vec3(lut_uv_clear, 0.0)).rgba; - vec3 out_spec_clear = vec3(0.0); + vec2 lut_uv_clear = lut_coords_ltc(dot(C_N, V), C_roughness); + vec4 ltc_mat_clear = texture(utilTex, vec3(lut_uv_clear, 0.0)).rgba; + vec3 out_spec_clear = vec3(0.0); #endif - for (int i = 0; i < MAX_LIGHT && i < laNumLight; ++i) { - LightData ld = lights_data[i]; + for (int i = 0; i < MAX_LIGHT && i < laNumLight; ++i) { + LightData ld = lights_data[i]; - vec4 l_vector; /* Non-Normalized Light Vector with length in last component. */ - l_vector.xyz = ld.l_position - worldPosition; - l_vector.w = length(l_vector.xyz); + vec4 l_vector; /* Non-Normalized Light Vector with length in last component. */ + l_vector.xyz = ld.l_position - worldPosition; + l_vector.w = length(l_vector.xyz); - float l_vis = light_visibility(ld, worldPosition, viewPosition, viewNormal, l_vector); + float l_vis = light_visibility(ld, worldPosition, viewPosition, viewNormal, l_vector); - if (l_vis < 1e-8) { - continue; - } + if (l_vis < 1e-8) { + continue; + } - vec3 l_color_vis = ld.l_color * l_vis; + vec3 l_color_vis = ld.l_color * l_vis; - #ifdef CLOSURE_DIFFUSE - out_diff += l_color_vis * light_diffuse(ld, N, V, l_vector); - #endif +#ifdef CLOSURE_DIFFUSE + out_diff += l_color_vis * light_diffuse(ld, N, V, l_vector); +#endif - #ifdef CLOSURE_SUBSURFACE - out_trans += ld.l_color * light_translucent(ld, worldPosition, -N, l_vector, sss_scale); - #endif +#ifdef CLOSURE_SUBSURFACE + out_trans += ld.l_color * light_translucent(ld, worldPosition, -N, l_vector, sss_scale); +#endif - #ifdef CLOSURE_GLOSSY - out_spec += l_color_vis * light_specular(ld, ltc_mat, N, V, l_vector) * ld.l_spec; - #endif +#ifdef CLOSURE_GLOSSY + out_spec += l_color_vis * light_specular(ld, ltc_mat, N, V, l_vector) * ld.l_spec; +#endif - #ifdef CLOSURE_CLEARCOAT - out_spec_clear += l_color_vis * light_specular(ld, ltc_mat_clear, C_N, V, l_vector) * ld.l_spec; - #endif - } +#ifdef CLOSURE_CLEARCOAT + out_spec_clear += l_color_vis * light_specular(ld, ltc_mat_clear, C_N, V, l_vector) * + ld.l_spec; +#endif + } #ifdef CLOSURE_GLOSSY - vec2 brdf_lut_lights = texture(utilTex, vec3(lut_uv, 1.0)).ba; - out_spec *= F_area(f0, brdf_lut_lights.xy); + vec2 brdf_lut_lights = texture(utilTex, vec3(lut_uv, 1.0)).ba; + out_spec *= F_area(f0, brdf_lut_lights.xy); #endif #ifdef CLOSURE_CLEARCOAT - vec2 brdf_lut_lights_clear = texture(utilTex, vec3(lut_uv_clear, 1.0)).ba; - out_spec_clear *= F_area(vec3(0.04), brdf_lut_lights_clear.xy); - out_spec += out_spec_clear * C_intensity; + vec2 brdf_lut_lights_clear = texture(utilTex, vec3(lut_uv_clear, 1.0)).ba; + out_spec_clear *= F_area(vec3(0.04), brdf_lut_lights_clear.xy); + out_spec += out_spec_clear * C_intensity; #endif - /* ---------------------------------------------------------------- */ - /* ---------------- SPECULAR ENVIRONMENT LIGHTING ----------------- */ - /* ---------------------------------------------------------------- */ + /* ---------------------------------------------------------------- */ + /* ---------------- SPECULAR ENVIRONMENT LIGHTING ----------------- */ + /* ---------------------------------------------------------------- */ - /* Accumulate incoming light from all sources until accumulator is full. Then apply Occlusion and BRDF. */ + /* Accumulate incoming light from all sources until accumulator is full. Then apply Occlusion and BRDF. */ #ifdef CLOSURE_GLOSSY - vec4 spec_accum = vec4(0.0); + vec4 spec_accum = vec4(0.0); #endif #ifdef CLOSURE_CLEARCOAT - vec4 C_spec_accum = vec4(0.0); + vec4 C_spec_accum = vec4(0.0); #endif #ifdef CLOSURE_REFRACTION - vec4 refr_accum = vec4(0.0); + vec4 refr_accum = vec4(0.0); #endif #ifdef CLOSURE_GLOSSY - /* ---------------------------- */ - /* Planar Reflections */ - /* ---------------------------- */ + /* ---------------------------- */ + /* Planar Reflections */ + /* ---------------------------- */ - for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar && spec_accum.a < 0.999; ++i) { - PlanarData pd = planars_data[i]; + for (int i = 0; i < MAX_PLANAR && i < prbNumPlanar && spec_accum.a < 0.999; ++i) { + PlanarData pd = planars_data[i]; - /* Fade on geometric normal. */ - float fade = probe_attenuation_planar(pd, worldPosition, (gl_FrontFacing) ? worldNormal : -worldNormal, roughness); + /* Fade on geometric normal. */ + float fade = probe_attenuation_planar( + pd, worldPosition, (gl_FrontFacing) ? worldNormal : -worldNormal, roughness); - if (fade > 0.0) { - if (!(ssrToggle && ssr_id == outputSsrId)) { - vec3 spec = probe_evaluate_planar(float(i), pd, worldPosition, N, V, roughness, fade); - accumulate_light(spec, fade, spec_accum); - } + if (fade > 0.0) { + if (!(ssrToggle && ssr_id == outputSsrId)) { + vec3 spec = probe_evaluate_planar(float(i), pd, worldPosition, N, V, roughness, fade); + accumulate_light(spec, fade, spec_accum); + } - #ifdef CLOSURE_CLEARCOAT - vec3 C_spec = probe_evaluate_planar(float(i), pd, worldPosition, C_N, V, C_roughness, fade); - accumulate_light(C_spec, fade, C_spec_accum); - #endif - - } - } +#ifdef CLOSURE_CLEARCOAT + vec3 C_spec = probe_evaluate_planar(float(i), pd, worldPosition, C_N, V, C_roughness, fade); + accumulate_light(C_spec, fade, C_spec_accum); +#endif + } + } #endif - #ifdef CLOSURE_GLOSSY - vec3 spec_dir = get_specular_reflection_dominant_dir(N, V, roughnessSquared); + vec3 spec_dir = get_specular_reflection_dominant_dir(N, V, roughnessSquared); #endif #ifdef CLOSURE_CLEARCOAT - vec3 C_spec_dir = get_specular_reflection_dominant_dir(C_N, V, C_roughnessSquared); + vec3 C_spec_dir = get_specular_reflection_dominant_dir(C_N, V, C_roughnessSquared); #endif #ifdef CLOSURE_REFRACTION - /* Refract the view vector using the depth heuristic. - * Then later Refract a second time the already refracted - * ray using the inverse ior. */ - float final_ior = (refractionDepth > 0.0) ? 1.0 / ior : ior; - vec3 refr_V = (refractionDepth > 0.0) ? -refract(-V, N, final_ior) : V; - vec3 refr_pos = (refractionDepth > 0.0) ? line_plane_intersect(worldPosition, refr_V, worldPosition - N * refractionDepth, N) : worldPosition; - vec3 refr_dir = get_specular_refraction_dominant_dir(N, refr_V, roughness, final_ior); + /* Refract the view vector using the depth heuristic. + * Then later Refract a second time the already refracted + * ray using the inverse ior. */ + float final_ior = (refractionDepth > 0.0) ? 1.0 / ior : ior; + vec3 refr_V = (refractionDepth > 0.0) ? -refract(-V, N, final_ior) : V; + vec3 refr_pos = (refractionDepth > 0.0) ? + line_plane_intersect( + worldPosition, refr_V, worldPosition - N * refractionDepth, N) : + worldPosition; + vec3 refr_dir = get_specular_refraction_dominant_dir(N, refr_V, roughness, final_ior); #endif - #ifdef CLOSURE_REFRACTION - /* ---------------------------- */ - /* Screen Space Refraction */ - /* ---------------------------- */ - #ifdef USE_REFRACTION - if (ssrToggle && roughness < ssrMaxRoughness + 0.2) { - /* Find approximated position of the 2nd refraction event. */ - vec3 refr_vpos = (refractionDepth > 0.0) ? transform_point(ViewMatrix, refr_pos) : viewPosition; - vec4 trans = screen_space_refraction(refr_vpos, N, refr_V, final_ior, roughnessSquared, rand); - trans.a *= smoothstep(ssrMaxRoughness + 0.2, ssrMaxRoughness, roughness); - accumulate_light(trans.rgb, trans.a, refr_accum); - } - #endif - +/* ---------------------------- */ +/* Screen Space Refraction */ +/* ---------------------------- */ +#ifdef USE_REFRACTION + if (ssrToggle && roughness < ssrMaxRoughness + 0.2) { + /* Find approximated position of the 2nd refraction event. */ + vec3 refr_vpos = (refractionDepth > 0.0) ? transform_point(ViewMatrix, refr_pos) : + viewPosition; + vec4 trans = screen_space_refraction(refr_vpos, N, refr_V, final_ior, roughnessSquared, rand); + trans.a *= smoothstep(ssrMaxRoughness + 0.2, ssrMaxRoughness, roughness); + accumulate_light(trans.rgb, trans.a, refr_accum); + } #endif +#endif - /* ---------------------------- */ - /* Specular probes */ - /* ---------------------------- */ + /* ---------------------------- */ + /* Specular probes */ + /* ---------------------------- */ #if defined(CLOSURE_GLOSSY) || defined(CLOSURE_REFRACTION) - #if defined(CLOSURE_GLOSSY) && defined(CLOSURE_REFRACTION) - #define GLASS_ACCUM 1 - #define ACCUM min(refr_accum.a, spec_accum.a) - #elif defined(CLOSURE_REFRACTION) - #define GLASS_ACCUM 0 - #define ACCUM refr_accum.a - #else - #define GLASS_ACCUM 0 - #define ACCUM spec_accum.a - #endif - - /* Starts at 1 because 0 is world probe */ - for (int i = 1; ACCUM < 0.999 && i < prbNumRenderCube && i < MAX_PROBE; ++i) { - float fade = probe_attenuation_cube(i, worldPosition); - - if (fade > 0.0) { - - #if GLASS_ACCUM - if (spec_accum.a < 0.999) { - #endif - #ifdef CLOSURE_GLOSSY - if (!(ssrToggle && ssr_id == outputSsrId)) { - vec3 spec = probe_evaluate_cube(i, worldPosition, spec_dir, roughness); - accumulate_light(spec, fade, spec_accum); - } - #endif - - #ifdef CLOSURE_CLEARCOAT - vec3 C_spec = probe_evaluate_cube(i, worldPosition, C_spec_dir, C_roughness); - accumulate_light(C_spec, fade, C_spec_accum); - #endif - #if GLASS_ACCUM - } - #endif - - #if GLASS_ACCUM - if (refr_accum.a < 0.999) { - #endif - #ifdef CLOSURE_REFRACTION - vec3 trans = probe_evaluate_cube(i, refr_pos, refr_dir, roughnessSquared); - accumulate_light(trans, fade, refr_accum); - #endif - #if GLASS_ACCUM - } - #endif - } - } - - #undef GLASS_ACCUM - #undef ACCUM - - /* ---------------------------- */ - /* World Probe */ - /* ---------------------------- */ - #ifdef CLOSURE_GLOSSY - if (spec_accum.a < 0.999) { - if (!(ssrToggle && ssr_id == outputSsrId)) { - vec3 spec = probe_evaluate_world_spec(spec_dir, roughness); - accumulate_light(spec, 1.0, spec_accum); - } - - #ifdef CLOSURE_CLEARCOAT - vec3 C_spec = probe_evaluate_world_spec(C_spec_dir, C_roughness); - accumulate_light(C_spec, 1.0, C_spec_accum); - #endif - - } - #endif - - #ifdef CLOSURE_REFRACTION - if (refr_accum.a < 0.999) { - vec3 trans = probe_evaluate_world_spec(refr_dir, roughnessSquared); - accumulate_light(trans, 1.0, refr_accum); - } - #endif -#endif /* Specular probes */ +#if defined(CLOSURE_GLOSSY) && defined(CLOSURE_REFRACTION) +# define GLASS_ACCUM 1 +# define ACCUM min(refr_accum.a, spec_accum.a) +#elif defined(CLOSURE_REFRACTION) +# define GLASS_ACCUM 0 +# define ACCUM refr_accum.a +#else +# define GLASS_ACCUM 0 +# define ACCUM spec_accum.a +#endif + /* Starts at 1 because 0 is world probe */ + for (int i = 1; ACCUM < 0.999 && i < prbNumRenderCube && i < MAX_PROBE; ++i) { + float fade = probe_attenuation_cube(i, worldPosition); - /* ---------------------------- */ - /* Ambient Occlusion */ - /* ---------------------------- */ -#if defined(CLOSURE_GLOSSY) || defined(CLOSURE_DIFFUSE) - vec3 bent_normal; - float final_ao = occlusion_compute(N, viewPosition, ao, rand, bent_normal); + if (fade > 0.0) { + +#if GLASS_ACCUM + if (spec_accum.a < 0.999) { #endif +#ifdef CLOSURE_GLOSSY + if (!(ssrToggle && ssr_id == outputSsrId)) { + vec3 spec = probe_evaluate_cube(i, worldPosition, spec_dir, roughness); + accumulate_light(spec, fade, spec_accum); + } +#endif + +#ifdef CLOSURE_CLEARCOAT + vec3 C_spec = probe_evaluate_cube(i, worldPosition, C_spec_dir, C_roughness); + accumulate_light(C_spec, fade, C_spec_accum); +#endif +#if GLASS_ACCUM + } +#endif + +#if GLASS_ACCUM + if (refr_accum.a < 0.999) { +#endif +#ifdef CLOSURE_REFRACTION + vec3 trans = probe_evaluate_cube(i, refr_pos, refr_dir, roughnessSquared); + accumulate_light(trans, fade, refr_accum); +#endif +#if GLASS_ACCUM + } +#endif + } + } + +#undef GLASS_ACCUM +#undef ACCUM +/* ---------------------------- */ +/* World Probe */ +/* ---------------------------- */ +#ifdef CLOSURE_GLOSSY + if (spec_accum.a < 0.999) { + if (!(ssrToggle && ssr_id == outputSsrId)) { + vec3 spec = probe_evaluate_world_spec(spec_dir, roughness); + accumulate_light(spec, 1.0, spec_accum); + } + +# ifdef CLOSURE_CLEARCOAT + vec3 C_spec = probe_evaluate_world_spec(C_spec_dir, C_roughness); + accumulate_light(C_spec, 1.0, C_spec_accum); +# endif + } +#endif + +#ifdef CLOSURE_REFRACTION + if (refr_accum.a < 0.999) { + vec3 trans = probe_evaluate_world_spec(refr_dir, roughnessSquared); + accumulate_light(trans, 1.0, refr_accum); + } +#endif +#endif /* Specular probes */ + + /* ---------------------------- */ + /* Ambient Occlusion */ + /* ---------------------------- */ +#if defined(CLOSURE_GLOSSY) || defined(CLOSURE_DIFFUSE) + vec3 bent_normal; + float final_ao = occlusion_compute(N, viewPosition, ao, rand, bent_normal); +#endif - /* ---------------------------- */ - /* Specular Output */ - /* ---------------------------- */ - float NV = dot(N, V); + /* ---------------------------- */ + /* Specular Output */ + /* ---------------------------- */ + float NV = dot(N, V); #ifdef CLOSURE_GLOSSY - vec2 uv = lut_coords(NV, roughness); - vec2 brdf_lut = texture(utilTex, vec3(uv, 1.0)).rg; + vec2 uv = lut_coords(NV, roughness); + vec2 brdf_lut = texture(utilTex, vec3(uv, 1.0)).rg; - /* This factor is outputted to be used by SSR in order - * to match the intensity of the regular reflections. */ - ssr_spec = F_ibl(f0, brdf_lut); - float spec_occlu = specular_occlusion(NV, final_ao, roughness); + /* This factor is outputted to be used by SSR in order + * to match the intensity of the regular reflections. */ + ssr_spec = F_ibl(f0, brdf_lut); + float spec_occlu = specular_occlusion(NV, final_ao, roughness); - /* The SSR pass recompute the occlusion to not apply it to the SSR */ - if (ssrToggle && ssr_id == outputSsrId) { - spec_occlu = 1.0; - } + /* The SSR pass recompute the occlusion to not apply it to the SSR */ + if (ssrToggle && ssr_id == outputSsrId) { + spec_occlu = 1.0; + } - out_spec += spec_accum.rgb * ssr_spec * spec_occlu; + out_spec += spec_accum.rgb * ssr_spec * spec_occlu; #endif #ifdef CLOSURE_REFRACTION - float btdf = get_btdf_lut(utilTex, NV, roughness, ior); + float btdf = get_btdf_lut(utilTex, NV, roughness, ior); - out_refr += refr_accum.rgb * btdf; + out_refr += refr_accum.rgb * btdf; #endif #ifdef CLOSURE_CLEARCOAT - NV = dot(C_N, V); - vec2 C_uv = lut_coords(NV, C_roughness); - vec2 C_brdf_lut = texture(utilTex, vec3(C_uv, 1.0)).rg; - vec3 C_fresnel = F_ibl(vec3(0.04), C_brdf_lut) * specular_occlusion(NV, final_ao, C_roughness); + NV = dot(C_N, V); + vec2 C_uv = lut_coords(NV, C_roughness); + vec2 C_brdf_lut = texture(utilTex, vec3(C_uv, 1.0)).rg; + vec3 C_fresnel = F_ibl(vec3(0.04), C_brdf_lut) * specular_occlusion(NV, final_ao, C_roughness); - out_spec += C_spec_accum.rgb * C_fresnel * C_intensity; + out_spec += C_spec_accum.rgb * C_fresnel * C_intensity; #endif #ifdef CLOSURE_GLOSSY - /* Global toggle for lightprobe baking. */ - out_spec *= float(specToggle); + /* Global toggle for lightprobe baking. */ + out_spec *= float(specToggle); #endif - /* ---------------------------------------------------------------- */ - /* ---------------- DIFFUSE ENVIRONMENT LIGHTING ------------------ */ - /* ---------------------------------------------------------------- */ + /* ---------------------------------------------------------------- */ + /* ---------------- DIFFUSE ENVIRONMENT LIGHTING ------------------ */ + /* ---------------------------------------------------------------- */ - /* Accumulate light from all sources until accumulator is full. Then apply Occlusion and BRDF. */ + /* Accumulate light from all sources until accumulator is full. Then apply Occlusion and BRDF. */ #ifdef CLOSURE_DIFFUSE - vec4 diff_accum = vec4(0.0); - - /* ---------------------------- */ - /* Irradiance Grids */ - /* ---------------------------- */ - /* Start at 1 because 0 is world irradiance */ - for (int i = 1; i < MAX_GRID && i < prbNumRenderGrid && diff_accum.a < 0.999; ++i) { - GridData gd = grids_data[i]; - - vec3 localpos; - float fade = probe_attenuation_grid(gd, grids_data[i].localmat, worldPosition, localpos); - - if (fade > 0.0) { - vec3 diff = probe_evaluate_grid(gd, worldPosition, bent_normal, localpos); - accumulate_light(diff, fade, diff_accum); - } - } - - /* ---------------------------- */ - /* World Diffuse */ - /* ---------------------------- */ - if (diff_accum.a < 0.999 && prbNumRenderGrid > 0) { - vec3 diff = probe_evaluate_world_diff(bent_normal); - accumulate_light(diff, 1.0, diff_accum); - } - - out_diff += diff_accum.rgb * gtao_multibounce(final_ao, albedo); + vec4 diff_accum = vec4(0.0); + + /* ---------------------------- */ + /* Irradiance Grids */ + /* ---------------------------- */ + /* Start at 1 because 0 is world irradiance */ + for (int i = 1; i < MAX_GRID && i < prbNumRenderGrid && diff_accum.a < 0.999; ++i) { + GridData gd = grids_data[i]; + + vec3 localpos; + float fade = probe_attenuation_grid(gd, grids_data[i].localmat, worldPosition, localpos); + + if (fade > 0.0) { + vec3 diff = probe_evaluate_grid(gd, worldPosition, bent_normal, localpos); + accumulate_light(diff, fade, diff_accum); + } + } + + /* ---------------------------- */ + /* World Diffuse */ + /* ---------------------------- */ + if (diff_accum.a < 0.999 && prbNumRenderGrid > 0) { + vec3 diff = probe_evaluate_world_diff(bent_normal); + accumulate_light(diff, 1.0, diff_accum); + } + + out_diff += diff_accum.rgb * gtao_multibounce(final_ao, albedo); #endif } @@ -508,21 +521,21 @@ void CLOSURE_NAME( #undef CLOSURE_NAME #ifdef CLOSURE_DIFFUSE - #undef CLOSURE_DIFFUSE +#undef CLOSURE_DIFFUSE #endif #ifdef CLOSURE_GLOSSY - #undef CLOSURE_GLOSSY +#undef CLOSURE_GLOSSY #endif #ifdef CLOSURE_CLEARCOAT - #undef CLOSURE_CLEARCOAT +#undef CLOSURE_CLEARCOAT #endif #ifdef CLOSURE_REFRACTION - #undef CLOSURE_REFRACTION +#undef CLOSURE_REFRACTION #endif #ifdef CLOSURE_SUBSURFACE - #undef CLOSURE_SUBSURFACE +#undef CLOSURE_SUBSURFACE #endif diff --git a/source/blender/draw/engines/eevee/shaders/lit_surface_vert.glsl b/source/blender/draw/engines/eevee/shaders/lit_surface_vert.glsl index 141d3363a09..29ecbd694c9 100644 --- a/source/blender/draw/engines/eevee/shaders/lit_surface_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/lit_surface_vert.glsl @@ -18,8 +18,9 @@ out vec3 viewPosition; /* Used for planar reflections */ /* keep in sync with EEVEE_ClipPlanesUniformBuffer */ -layout(std140) uniform clip_block { - vec4 ClipPlanes[1]; +layout(std140) uniform clip_block +{ + vec4 ClipPlanes[1]; }; #ifdef USE_FLAT_NORMAL @@ -41,39 +42,44 @@ flat out int hairStrandID; void main() { #ifdef GPU_INTEL - /* Due to some shader compiler bug, we somewhat - * need to access gl_VertexID to make it work. even - * if it's actually dead code. */ - gl_Position.x = float(gl_VertexID); + /* Due to some shader compiler bug, we somewhat + * need to access gl_VertexID to make it work. even + * if it's actually dead code. */ + gl_Position.x = float(gl_VertexID); #endif #ifdef HAIR_SHADER - hairStrandID = hair_get_strand_id(); - vec3 pos, binor; - hair_get_pos_tan_binor_time( - (ProjectionMatrix[3][3] == 0.0), - ModelMatrixInverse, - ViewMatrixInverse[3].xyz, ViewMatrixInverse[2].xyz, - pos, hairTangent, binor, hairTime, hairThickness, hairThickTime); + hairStrandID = hair_get_strand_id(); + vec3 pos, binor; + hair_get_pos_tan_binor_time((ProjectionMatrix[3][3] == 0.0), + ModelMatrixInverse, + ViewMatrixInverse[3].xyz, + ViewMatrixInverse[2].xyz, + pos, + hairTangent, + binor, + hairTime, + hairThickness, + hairThickTime); - gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); - viewPosition = (ViewMatrix * vec4(pos, 1.0)).xyz; - worldPosition = pos; - hairTangent = normalize(hairTangent); - worldNormal = cross(binor, hairTangent); - viewNormal = mat3(ViewMatrix) * worldNormal; + gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); + viewPosition = (ViewMatrix * vec4(pos, 1.0)).xyz; + worldPosition = pos; + hairTangent = normalize(hairTangent); + worldNormal = cross(binor, hairTangent); + viewNormal = mat3(ViewMatrix) * worldNormal; #else - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - viewPosition = (ModelViewMatrix * vec4(pos, 1.0)).xyz; - worldPosition = (ModelMatrix * vec4(pos, 1.0)).xyz; - worldNormal = normalize(WorldNormalMatrix * nor); - viewNormal = normalize(NormalMatrix * nor); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + viewPosition = (ModelViewMatrix * vec4(pos, 1.0)).xyz; + worldPosition = (ModelMatrix * vec4(pos, 1.0)).xyz; + worldNormal = normalize(WorldNormalMatrix * nor); + viewNormal = normalize(NormalMatrix * nor); #endif - /* Used for planar reflections */ - gl_ClipDistance[0] = dot(vec4(worldPosition, 1.0), ClipPlanes[0]); + /* Used for planar reflections */ + gl_ClipDistance[0] = dot(vec4(worldPosition, 1.0), ClipPlanes[0]); #ifdef USE_ATTR - pass_attr(pos); + pass_attr(pos); #endif } diff --git a/source/blender/draw/engines/eevee/shaders/ltc_lib.glsl b/source/blender/draw/engines/eevee/shaders/ltc_lib.glsl index 42bd486a4a5..88dd9f46b55 100644 --- a/source/blender/draw/engines/eevee/shaders/ltc_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/ltc_lib.glsl @@ -9,23 +9,23 @@ #define USE_LTC #ifndef UTIL_TEX -#define UTIL_TEX +# define UTIL_TEX uniform sampler2DArray utilTex; -#define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) +# define texelfetch_noise_tex(coord) texelFetch(utilTex, ivec3(ivec2(coord) % LUT_SIZE, 2.0), 0) #endif /* UTIL_TEX */ /* Diffuse *clipped* sphere integral. */ float diffuse_sphere_integral(float avg_dir_z, float form_factor) { #if 1 - /* use tabulated horizon-clipped sphere */ - vec2 uv = vec2(avg_dir_z * 0.5 + 0.5, form_factor); - uv = uv * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; + /* use tabulated horizon-clipped sphere */ + vec2 uv = vec2(avg_dir_z * 0.5 + 0.5, form_factor); + uv = uv * (LUT_SIZE - 1.0) / LUT_SIZE + 0.5 / LUT_SIZE; - return texture(utilTex, vec3(uv, 3.0)).x; + return texture(utilTex, vec3(uv, 3.0)).x; #else - /* Cheap approximation. Less smooth and have energy issues. */ - return max((form_factor * form_factor + avg_dir_z) / (form_factor + 1.0), 0.0); + /* Cheap approximation. Less smooth and have energy issues. */ + return max((form_factor * form_factor + avg_dir_z) / (form_factor + 1.0), 0.0); #endif } @@ -36,275 +36,267 @@ float diffuse_sphere_integral(float avg_dir_z, float form_factor) */ vec3 solve_cubic(vec4 coefs) { - /* Normalize the polynomial */ - coefs.xyz /= coefs.w; - /* Divide middle coefficients by three */ - coefs.yz /= 3.0; - - float A = coefs.w; - float B = coefs.z; - float C = coefs.y; - float D = coefs.x; - - /* Compute the Hessian and the discriminant */ - vec3 delta = vec3( - -coefs.z*coefs.z + coefs.y, - -coefs.y*coefs.z + coefs.x, - dot(vec2(coefs.z, -coefs.y), coefs.xy) - ); - - /* Discriminant */ - float discr = dot(vec2(4.0 * delta.x, -delta.y), delta.zy); - - vec2 xlc, xsc; - - /* Algorithm A */ - { - float A_a = 1.0; - float C_a = delta.x; - float D_a = -2.0 * B * delta.x + delta.y; - - /* Take the cubic root of a normalized complex number */ - float theta = atan(sqrt(discr), -D_a) / 3.0; - - float x_1a = 2.0 * sqrt(-C_a) * cos(theta); - float x_3a = 2.0 * sqrt(-C_a) * cos(theta + (2.0 / 3.0) * M_PI); - - float xl; - if ((x_1a + x_3a) > 2.0 * B) { - xl = x_1a; - } - else { - xl = x_3a; - } - - xlc = vec2(xl - B, A); - } - - /* Algorithm D */ - { - float A_d = D; - float C_d = delta.z; - float D_d = -D * delta.y + 2.0 * C * delta.z; - - /* Take the cubic root of a normalized complex number */ - float theta = atan(D * sqrt(discr), -D_d) / 3.0; - - float x_1d = 2.0 * sqrt(-C_d) * cos(theta); - float x_3d = 2.0 * sqrt(-C_d) * cos(theta + (2.0 / 3.0) * M_PI); - - float xs; - if (x_1d + x_3d < 2.0 * C) { - xs = x_1d; - } - else { - xs = x_3d; - } - - xsc = vec2(-D, xs + C); - } - - float E = xlc.y * xsc.y; - float F = -xlc.x * xsc.y - xlc.y * xsc.x; - float G = xlc.x * xsc.x; - - vec2 xmc = vec2(C * F - B * G, -B * F + C * E); - - vec3 root = vec3(xsc.x / xsc.y, - xmc.x / xmc.y, - xlc.x / xlc.y); - - if (root.x < root.y && root.x < root.z) { - root.xyz = root.yxz; - } - else if (root.z < root.x && root.z < root.y) { - root.xyz = root.xzy; - } - - return root; + /* Normalize the polynomial */ + coefs.xyz /= coefs.w; + /* Divide middle coefficients by three */ + coefs.yz /= 3.0; + + float A = coefs.w; + float B = coefs.z; + float C = coefs.y; + float D = coefs.x; + + /* Compute the Hessian and the discriminant */ + vec3 delta = vec3(-coefs.z * coefs.z + coefs.y, + -coefs.y * coefs.z + coefs.x, + dot(vec2(coefs.z, -coefs.y), coefs.xy)); + + /* Discriminant */ + float discr = dot(vec2(4.0 * delta.x, -delta.y), delta.zy); + + vec2 xlc, xsc; + + /* Algorithm A */ + { + float A_a = 1.0; + float C_a = delta.x; + float D_a = -2.0 * B * delta.x + delta.y; + + /* Take the cubic root of a normalized complex number */ + float theta = atan(sqrt(discr), -D_a) / 3.0; + + float x_1a = 2.0 * sqrt(-C_a) * cos(theta); + float x_3a = 2.0 * sqrt(-C_a) * cos(theta + (2.0 / 3.0) * M_PI); + + float xl; + if ((x_1a + x_3a) > 2.0 * B) { + xl = x_1a; + } + else { + xl = x_3a; + } + + xlc = vec2(xl - B, A); + } + + /* Algorithm D */ + { + float A_d = D; + float C_d = delta.z; + float D_d = -D * delta.y + 2.0 * C * delta.z; + + /* Take the cubic root of a normalized complex number */ + float theta = atan(D * sqrt(discr), -D_d) / 3.0; + + float x_1d = 2.0 * sqrt(-C_d) * cos(theta); + float x_3d = 2.0 * sqrt(-C_d) * cos(theta + (2.0 / 3.0) * M_PI); + + float xs; + if (x_1d + x_3d < 2.0 * C) { + xs = x_1d; + } + else { + xs = x_3d; + } + + xsc = vec2(-D, xs + C); + } + + float E = xlc.y * xsc.y; + float F = -xlc.x * xsc.y - xlc.y * xsc.x; + float G = xlc.x * xsc.x; + + vec2 xmc = vec2(C * F - B * G, -B * F + C * E); + + vec3 root = vec3(xsc.x / xsc.y, xmc.x / xmc.y, xlc.x / xlc.y); + + if (root.x < root.y && root.x < root.z) { + root.xyz = root.yxz; + } + else if (root.z < root.x && root.z < root.y) { + root.xyz = root.xzy; + } + + return root; } /* from Real-Time Area Lighting: a Journey from Research to Production * Stephen Hill and Eric Heitz */ vec3 edge_integral_vec(vec3 v1, vec3 v2) { - float x = dot(v1, v2); - float y = abs(x); + float x = dot(v1, v2); + float y = abs(x); - float a = 0.8543985 + (0.4965155 + 0.0145206 * y) * y; - float b = 3.4175940 + (4.1616724 + y) * y; - float v = a / b; + float a = 0.8543985 + (0.4965155 + 0.0145206 * y) * y; + float b = 3.4175940 + (4.1616724 + y) * y; + float v = a / b; - float theta_sintheta = (x > 0.0) ? v : 0.5 * inversesqrt(max(1.0 - x * x, 1e-7)) - v; + float theta_sintheta = (x > 0.0) ? v : 0.5 * inversesqrt(max(1.0 - x * x, 1e-7)) - v; - return cross(v1, v2) * theta_sintheta; + return cross(v1, v2) * theta_sintheta; } mat3 ltc_matrix(vec4 lut) { - /* load inverse matrix */ - mat3 Minv = mat3( - vec3(lut.x, 0, lut.y), - vec3( 0, 1, 0), - vec3(lut.z, 0, lut.w) - ); - - return Minv; + /* load inverse matrix */ + mat3 Minv = mat3(vec3(lut.x, 0, lut.y), vec3(0, 1, 0), vec3(lut.z, 0, lut.w)); + + return Minv; } void ltc_transform_quad(vec3 N, vec3 V, mat3 Minv, inout vec3 corners[4]) { - /* Avoid dot(N, V) == 1 in ortho mode, leading T1 normalize to fail. */ - V = normalize(V + 1e-8); - - /* construct orthonormal basis around N */ - vec3 T1, T2; - T1 = normalize(V - N * dot(N, V)); - T2 = cross(N, T1); - - /* rotate area light in (T1, T2, R) basis */ - Minv = Minv * transpose(mat3(T1, T2, N)); - - /* Apply LTC inverse matrix. */ - corners[0] = normalize(Minv * corners[0]); - corners[1] = normalize(Minv * corners[1]); - corners[2] = normalize(Minv * corners[2]); - corners[3] = normalize(Minv * corners[3]); + /* Avoid dot(N, V) == 1 in ortho mode, leading T1 normalize to fail. */ + V = normalize(V + 1e-8); + + /* construct orthonormal basis around N */ + vec3 T1, T2; + T1 = normalize(V - N * dot(N, V)); + T2 = cross(N, T1); + + /* rotate area light in (T1, T2, R) basis */ + Minv = Minv * transpose(mat3(T1, T2, N)); + + /* Apply LTC inverse matrix. */ + corners[0] = normalize(Minv * corners[0]); + corners[1] = normalize(Minv * corners[1]); + corners[2] = normalize(Minv * corners[2]); + corners[3] = normalize(Minv * corners[3]); } /* If corners have already pass through ltc_transform_quad(), then N **MUST** be vec3(0.0, 0.0, 1.0), * corresponding to the Up axis of the shading basis. */ float ltc_evaluate_quad(vec3 corners[4], vec3 N) { - /* Approximation using a sphere of the same solid angle than the quad. - * Finding the clipped sphere diffuse integral is easier than clipping the quad. */ - vec3 avg_dir; - avg_dir = edge_integral_vec(corners[0], corners[1]); - avg_dir += edge_integral_vec(corners[1], corners[2]); - avg_dir += edge_integral_vec(corners[2], corners[3]); - avg_dir += edge_integral_vec(corners[3], corners[0]); - - float form_factor = length(avg_dir); - float avg_dir_z = dot(N, avg_dir / form_factor); - return form_factor * diffuse_sphere_integral(avg_dir_z, form_factor); + /* Approximation using a sphere of the same solid angle than the quad. + * Finding the clipped sphere diffuse integral is easier than clipping the quad. */ + vec3 avg_dir; + avg_dir = edge_integral_vec(corners[0], corners[1]); + avg_dir += edge_integral_vec(corners[1], corners[2]); + avg_dir += edge_integral_vec(corners[2], corners[3]); + avg_dir += edge_integral_vec(corners[3], corners[0]); + + float form_factor = length(avg_dir); + float avg_dir_z = dot(N, avg_dir / form_factor); + return form_factor * diffuse_sphere_integral(avg_dir_z, form_factor); } /* If disk does not need to be transformed and is already front facing. */ float ltc_evaluate_disk_simple(float disk_radius, float NL) { - float r_sqr = disk_radius * disk_radius; - float one_r_sqr = 1.0 + r_sqr; - float form_factor = r_sqr * inversesqrt(one_r_sqr * one_r_sqr); - return form_factor * diffuse_sphere_integral(NL, form_factor); + float r_sqr = disk_radius * disk_radius; + float one_r_sqr = 1.0 + r_sqr; + float form_factor = r_sqr * inversesqrt(one_r_sqr * one_r_sqr); + return form_factor * diffuse_sphere_integral(NL, form_factor); } /* disk_points are WS vectors from the shading point to the disk "bounding domain" */ float ltc_evaluate_disk(vec3 N, vec3 V, mat3 Minv, vec3 disk_points[3]) { - /* Avoid dot(N, V) == 1 in ortho mode, leading T1 normalize to fail. */ - V = normalize(V + 1e-8); - - /* construct orthonormal basis around N */ - vec3 T1, T2; - T1 = normalize(V - N * dot(V, N)); - T2 = cross(N, T1); - - /* rotate area light in (T1, T2, R) basis */ - mat3 R = transpose(mat3(T1, T2, N)); - - /* Intermediate step: init ellipse. */ - vec3 L_[3]; - L_[0] = mul(R, disk_points[0]); - L_[1] = mul(R, disk_points[1]); - L_[2] = mul(R, disk_points[2]); - - vec3 C = 0.5 * (L_[0] + L_[2]); - vec3 V1 = 0.5 * (L_[1] - L_[2]); - vec3 V2 = 0.5 * (L_[1] - L_[0]); - - /* Transform ellipse by Minv. */ - C = Minv * C; - V1 = Minv * V1; - V2 = Minv * V2; - - /* Compute eigenvectors of new ellipse. */ - - float d11 = dot(V1, V1); - float d22 = dot(V2, V2); - float d12 = dot(V1, V2); - float a, b; /* Eigenvalues */ - const float threshold = 0.0007; /* Can be adjusted. Fix artifacts. */ - if (abs(d12) / sqrt(d11 * d22) > threshold) { - float tr = d11 + d22; - float det = -d12 * d12 + d11 * d22; - - /* use sqrt matrix to solve for eigenvalues */ - det = sqrt(det); - float u = 0.5 * sqrt(tr - 2.0 * det); - float v = 0.5 * sqrt(tr + 2.0 * det); - float e_max = (u + v); - float e_min = (u - v); - e_max *= e_max; - e_min *= e_min; - - vec3 V1_, V2_; - if (d11 > d22) { - V1_ = d12 * V1 + (e_max - d11) * V2; - V2_ = d12 * V1 + (e_min - d11) * V2; - } - else { - V1_ = d12 * V2 + (e_max - d22) * V1; - V2_ = d12 * V2 + (e_min - d22) * V1; - } - - a = 1.0 / e_max; - b = 1.0 / e_min; - V1 = normalize(V1_); - V2 = normalize(V2_); - } - else { - a = 1.0 / d11; - b = 1.0 / d22; - V1 *= sqrt(a); - V2 *= sqrt(b); - } - - /* Now find front facing ellipse with same solid angle. */ - - vec3 V3 = normalize(cross(V1, V2)); - if (dot(C, V3) < 0.0) { - V3 *= -1.0; - } - - float L = dot(V3, C); - float x0 = dot(V1, C) / L; - float y0 = dot(V2, C) / L; - - a *= L*L; - b *= L*L; - - float c0 = a * b; - float c1 = a * b * (1.0 + x0 * x0 + y0 * y0) - a - b; - float c2 = 1.0 - a * (1.0 + x0 * x0) - b * (1.0 + y0 * y0); - float c3 = 1.0; - - vec3 roots = solve_cubic(vec4(c0, c1, c2, c3)); - float e1 = roots.x; - float e2 = roots.y; - float e3 = roots.z; - - vec3 avg_dir = vec3(a * x0 / (a - e2), b * y0 / (b - e2), 1.0); - - mat3 rotate = mat3(V1, V2, V3); - - avg_dir = rotate * avg_dir; - avg_dir = normalize(avg_dir); - - /* L1, L2 are the extends of the front facing ellipse. */ - float L1 = sqrt(-e2/e3); - float L2 = sqrt(-e2/e1); - - /* Find the sphere and compute lighting. */ - float form_factor = max(0.0, L1 * L2 * inversesqrt((1.0 + L1 * L1) * (1.0 + L2 * L2))); - return form_factor * diffuse_sphere_integral(avg_dir.z, form_factor); + /* Avoid dot(N, V) == 1 in ortho mode, leading T1 normalize to fail. */ + V = normalize(V + 1e-8); + + /* construct orthonormal basis around N */ + vec3 T1, T2; + T1 = normalize(V - N * dot(V, N)); + T2 = cross(N, T1); + + /* rotate area light in (T1, T2, R) basis */ + mat3 R = transpose(mat3(T1, T2, N)); + + /* Intermediate step: init ellipse. */ + vec3 L_[3]; + L_[0] = mul(R, disk_points[0]); + L_[1] = mul(R, disk_points[1]); + L_[2] = mul(R, disk_points[2]); + + vec3 C = 0.5 * (L_[0] + L_[2]); + vec3 V1 = 0.5 * (L_[1] - L_[2]); + vec3 V2 = 0.5 * (L_[1] - L_[0]); + + /* Transform ellipse by Minv. */ + C = Minv * C; + V1 = Minv * V1; + V2 = Minv * V2; + + /* Compute eigenvectors of new ellipse. */ + + float d11 = dot(V1, V1); + float d22 = dot(V2, V2); + float d12 = dot(V1, V2); + float a, b; /* Eigenvalues */ + const float threshold = 0.0007; /* Can be adjusted. Fix artifacts. */ + if (abs(d12) / sqrt(d11 * d22) > threshold) { + float tr = d11 + d22; + float det = -d12 * d12 + d11 * d22; + + /* use sqrt matrix to solve for eigenvalues */ + det = sqrt(det); + float u = 0.5 * sqrt(tr - 2.0 * det); + float v = 0.5 * sqrt(tr + 2.0 * det); + float e_max = (u + v); + float e_min = (u - v); + e_max *= e_max; + e_min *= e_min; + + vec3 V1_, V2_; + if (d11 > d22) { + V1_ = d12 * V1 + (e_max - d11) * V2; + V2_ = d12 * V1 + (e_min - d11) * V2; + } + else { + V1_ = d12 * V2 + (e_max - d22) * V1; + V2_ = d12 * V2 + (e_min - d22) * V1; + } + + a = 1.0 / e_max; + b = 1.0 / e_min; + V1 = normalize(V1_); + V2 = normalize(V2_); + } + else { + a = 1.0 / d11; + b = 1.0 / d22; + V1 *= sqrt(a); + V2 *= sqrt(b); + } + + /* Now find front facing ellipse with same solid angle. */ + + vec3 V3 = normalize(cross(V1, V2)); + if (dot(C, V3) < 0.0) { + V3 *= -1.0; + } + + float L = dot(V3, C); + float x0 = dot(V1, C) / L; + float y0 = dot(V2, C) / L; + + a *= L * L; + b *= L * L; + + float c0 = a * b; + float c1 = a * b * (1.0 + x0 * x0 + y0 * y0) - a - b; + float c2 = 1.0 - a * (1.0 + x0 * x0) - b * (1.0 + y0 * y0); + float c3 = 1.0; + + vec3 roots = solve_cubic(vec4(c0, c1, c2, c3)); + float e1 = roots.x; + float e2 = roots.y; + float e3 = roots.z; + + vec3 avg_dir = vec3(a * x0 / (a - e2), b * y0 / (b - e2), 1.0); + + mat3 rotate = mat3(V1, V2, V3); + + avg_dir = rotate * avg_dir; + avg_dir = normalize(avg_dir); + + /* L1, L2 are the extends of the front facing ellipse. */ + float L1 = sqrt(-e2 / e3); + float L2 = sqrt(-e2 / e1); + + /* Find the sphere and compute lighting. */ + float form_factor = max(0.0, L1 * L2 * inversesqrt((1.0 + L1 * L1) * (1.0 + L2 * L2))); + return form_factor * diffuse_sphere_integral(avg_dir.z, form_factor); } diff --git a/source/blender/draw/engines/eevee/shaders/octahedron_lib.glsl b/source/blender/draw/engines/eevee/shaders/octahedron_lib.glsl index dfd8fa8a56c..bfb6bc890ec 100644 --- a/source/blender/draw/engines/eevee/shaders/octahedron_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/octahedron_lib.glsl @@ -1,38 +1,38 @@ vec2 mapping_octahedron(vec3 cubevec, vec2 texel_size) { - /* projection onto octahedron */ - cubevec /= dot(vec3(1.0), abs(cubevec)); + /* projection onto octahedron */ + cubevec /= dot(vec3(1.0), abs(cubevec)); - /* out-folding of the downward faces */ - if (cubevec.z < 0.0) { - vec2 cubevec_sign = step(0.0, cubevec.xy) * 2.0 - 1.0; - cubevec.xy = (1.0 - abs(cubevec.yx)) * cubevec_sign; - } + /* out-folding of the downward faces */ + if (cubevec.z < 0.0) { + vec2 cubevec_sign = step(0.0, cubevec.xy) * 2.0 - 1.0; + cubevec.xy = (1.0 - abs(cubevec.yx)) * cubevec_sign; + } - /* mapping to [0;1]ˆ2 texture space */ - vec2 uvs = cubevec.xy * (0.5) + 0.5; + /* mapping to [0;1]ˆ2 texture space */ + vec2 uvs = cubevec.xy * (0.5) + 0.5; - /* edge filtering fix */ - uvs = (1.0 - 2.0 * texel_size) * uvs + texel_size; + /* edge filtering fix */ + uvs = (1.0 - 2.0 * texel_size) * uvs + texel_size; - return uvs; + return uvs; } vec4 textureLod_octahedron(sampler2DArray tex, vec4 cubevec, float lod, float lod_max) { - vec2 texelSize = 1.0 / vec2(textureSize(tex, int(lod_max))); + vec2 texelSize = 1.0 / vec2(textureSize(tex, int(lod_max))); - vec2 uvs = mapping_octahedron(cubevec.xyz, texelSize); + vec2 uvs = mapping_octahedron(cubevec.xyz, texelSize); - return textureLod(tex, vec3(uvs, cubevec.w), lod); + return textureLod(tex, vec3(uvs, cubevec.w), lod); } vec4 texture_octahedron(sampler2DArray tex, vec4 cubevec) { - vec2 texelSize = 1.0 / vec2(textureSize(tex, 0)); + vec2 texelSize = 1.0 / vec2(textureSize(tex, 0)); - vec2 uvs = mapping_octahedron(cubevec.xyz, texelSize); + vec2 uvs = mapping_octahedron(cubevec.xyz, texelSize); - return texture(tex, vec3(uvs, cubevec.w)); + return texture(tex, vec3(uvs, cubevec.w)); } diff --git a/source/blender/draw/engines/eevee/shaders/prepass_frag.glsl b/source/blender/draw/engines/eevee/shaders/prepass_frag.glsl index bbc49fea6ba..e7b31b94f81 100644 --- a/source/blender/draw/engines/eevee/shaders/prepass_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/prepass_frag.glsl @@ -2,12 +2,14 @@ #ifdef USE_ALPHA_HASH /* From the paper "Hashed Alpha Testing" by Chris Wyman and Morgan McGuire */ -float hash(vec2 a) { - return fract(1e4 * sin(17.0 * a.x + 0.1 * a.y) * (0.1 + abs(sin(13.0 * a.y + a.x)))); +float hash(vec2 a) +{ + return fract(1e4 * sin(17.0 * a.x + 0.1 * a.y) * (0.1 + abs(sin(13.0 * a.y + a.x)))); } -float hash3d(vec3 a) { - return hash(vec2(hash(a.xy), a.z)); +float hash3d(vec3 a) +{ + return hash(vec2(hash(a.xy), a.z)); } uniform float hashAlphaOffset; @@ -15,46 +17,42 @@ uniform float hashAlphaScale = 1.0; /* Roughly in pixel */ float hashed_alpha_threshold(vec3 co) { - /* Find the discretized derivatives of our coordinates. */ - float max_deriv = max(length(dFdx(co)), length(dFdy(co))); - float pix_scale = 1.0 / (hashAlphaScale * max_deriv); - - /* Find two nearest log-discretized noise scales. */ - float pix_scale_log = log2(pix_scale); - vec2 pix_scales; - pix_scales.x = exp2(floor(pix_scale_log)); - pix_scales.y = exp2(ceil(pix_scale_log)); - - /* Compute alpha thresholds at our two noise scales. */ - vec2 alpha; - alpha.x = hash3d(floor(pix_scales.x * co)); - alpha.y = hash3d(floor(pix_scales.y * co)); - - /* Factor to interpolate lerp with. */ - float fac = fract(log2(pix_scale)); - - /* Interpolate alpha threshold from noise at two scales. */ - float x = mix(alpha.x, alpha.y, fac); - - /* Pass into CDF to compute uniformly distrib threshold. */ - float a = min(fac, 1.0 - fac); - float one_a = 1.0 - a; - float denom = 1.0 / (2 * a * one_a); - float one_x = (1 - x); - vec3 cases = vec3( - (x * x) * denom, - (x - 0.5 * a) / one_a, - 1.0 - (one_x * one_x * denom) - ); - - /* Find our final, uniformly distributed alpha threshold. */ - float threshold = (x < one_a) ? ((x < a) ? cases.x : cases.y) : cases.z; - - /* Avoids threshold == 0. */ - threshold = clamp(threshold, 1.0e-6, 1.0); - - /* Jitter the threshold for TAA accumulation. */ - return fract(threshold + hashAlphaOffset); + /* Find the discretized derivatives of our coordinates. */ + float max_deriv = max(length(dFdx(co)), length(dFdy(co))); + float pix_scale = 1.0 / (hashAlphaScale * max_deriv); + + /* Find two nearest log-discretized noise scales. */ + float pix_scale_log = log2(pix_scale); + vec2 pix_scales; + pix_scales.x = exp2(floor(pix_scale_log)); + pix_scales.y = exp2(ceil(pix_scale_log)); + + /* Compute alpha thresholds at our two noise scales. */ + vec2 alpha; + alpha.x = hash3d(floor(pix_scales.x * co)); + alpha.y = hash3d(floor(pix_scales.y * co)); + + /* Factor to interpolate lerp with. */ + float fac = fract(log2(pix_scale)); + + /* Interpolate alpha threshold from noise at two scales. */ + float x = mix(alpha.x, alpha.y, fac); + + /* Pass into CDF to compute uniformly distrib threshold. */ + float a = min(fac, 1.0 - fac); + float one_a = 1.0 - a; + float denom = 1.0 / (2 * a * one_a); + float one_x = (1 - x); + vec3 cases = vec3((x * x) * denom, (x - 0.5 * a) / one_a, 1.0 - (one_x * one_x * denom)); + + /* Find our final, uniformly distributed alpha threshold. */ + float threshold = (x < one_a) ? ((x < a) ? cases.x : cases.y) : cases.z; + + /* Avoids threshold == 0. */ + threshold = clamp(threshold, 1.0e-6, 1.0); + + /* Jitter the threshold for TAA accumulation. */ + return fract(threshold + hashAlphaOffset); } #endif @@ -65,24 +63,24 @@ uniform float alphaThreshold; void main() { - /* For now do nothing. - * In the future, output object motion blur. */ + /* For now do nothing. + * In the future, output object motion blur. */ #if defined(USE_ALPHA_HASH) || defined(USE_ALPHA_CLIP) -#define NODETREE_EXEC - - Closure cl = nodetree_exec(); - -#if defined(USE_ALPHA_HASH) - /* Hashed Alpha Testing */ - if (cl.opacity < hashed_alpha_threshold(worldPosition)) { - discard; - } -#elif defined(USE_ALPHA_CLIP) - /* Alpha clip */ - if (cl.opacity <= alphaThreshold) { - discard; - } -#endif +# define NODETREE_EXEC + + Closure cl = nodetree_exec(); + +# if defined(USE_ALPHA_HASH) + /* Hashed Alpha Testing */ + if (cl.opacity < hashed_alpha_threshold(worldPosition)) { + discard; + } +# elif defined(USE_ALPHA_CLIP) + /* Alpha clip */ + if (cl.opacity <= alphaThreshold) { + discard; + } +# endif #endif } diff --git a/source/blender/draw/engines/eevee/shaders/prepass_vert.glsl b/source/blender/draw/engines/eevee/shaders/prepass_vert.glsl index 1a8dbc97317..9196253478a 100644 --- a/source/blender/draw/engines/eevee/shaders/prepass_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/prepass_vert.glsl @@ -5,8 +5,9 @@ uniform mat4 ModelMatrixInverse; #ifdef CLIP_PLANES /* keep in sync with DRWManager.view_data */ -layout(std140) uniform clip_block { - vec4 ClipPlanes[1]; +layout(std140) uniform clip_block +{ + vec4 ClipPlanes[1]; }; #endif @@ -17,23 +18,28 @@ in vec3 pos; void main() { #ifdef HAIR_SHADER - float time, thick_time, thickness; - vec3 pos, tan, binor; - hair_get_pos_tan_binor_time( - (ProjectionMatrix[3][3] == 0.0), - ModelMatrixInverse, - ViewMatrixInverse[3].xyz, ViewMatrixInverse[2].xyz, - pos, tan, binor, time, thickness, thick_time); + float time, thick_time, thickness; + vec3 pos, tan, binor; + hair_get_pos_tan_binor_time((ProjectionMatrix[3][3] == 0.0), + ModelMatrixInverse, + ViewMatrixInverse[3].xyz, + ViewMatrixInverse[2].xyz, + pos, + tan, + binor, + time, + thickness, + thick_time); - gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); - vec4 worldPosition = vec4(pos, 1.0); + gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); + vec4 worldPosition = vec4(pos, 1.0); #else - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - vec4 worldPosition = (ModelMatrix * vec4(pos, 1.0)); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + vec4 worldPosition = (ModelMatrix * vec4(pos, 1.0)); #endif #ifdef CLIP_PLANES - gl_ClipDistance[0] = dot(vec4(worldPosition.xyz, 1.0), ClipPlanes[0]); + gl_ClipDistance[0] = dot(vec4(worldPosition.xyz, 1.0), ClipPlanes[0]); #endif - /* TODO motion vectors */ + /* TODO motion vectors */ } diff --git a/source/blender/draw/engines/eevee/shaders/raytrace_lib.glsl b/source/blender/draw/engines/eevee/shaders/raytrace_lib.glsl index 85c4a02bc1e..49c4569f585 100644 --- a/source/blender/draw/engines/eevee/shaders/raytrace_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/raytrace_lib.glsl @@ -3,241 +3,255 @@ float sample_depth(vec2 uv, int index, float lod) { #ifdef PLANAR_PROBE_RAYTRACE - if (index > -1) { - return textureLod(planarDepth, vec3(uv, index), 0.0).r; - } - else { + if (index > -1) { + return textureLod(planarDepth, vec3(uv, index), 0.0).r; + } + else { #endif - /* Correct UVs for mipmaping mis-alignment */ - uv *= mipRatio[int(lod) + hizMipOffset]; - return textureLod(maxzBuffer, uv, lod).r; + /* Correct UVs for mipmaping mis-alignment */ + uv *= mipRatio[int(lod) + hizMipOffset]; + return textureLod(maxzBuffer, uv, lod).r; #ifdef PLANAR_PROBE_RAYTRACE - } + } #endif } vec4 sample_depth_grouped(vec4 uv1, vec4 uv2, int index, float lod) { - vec4 depths; + vec4 depths; #ifdef PLANAR_PROBE_RAYTRACE - if (index > -1) { - depths.x = textureLod(planarDepth, vec3(uv1.xy, index), 0.0).r; - depths.y = textureLod(planarDepth, vec3(uv1.zw, index), 0.0).r; - depths.z = textureLod(planarDepth, vec3(uv2.xy, index), 0.0).r; - depths.w = textureLod(planarDepth, vec3(uv2.zw, index), 0.0).r; - } - else { + if (index > -1) { + depths.x = textureLod(planarDepth, vec3(uv1.xy, index), 0.0).r; + depths.y = textureLod(planarDepth, vec3(uv1.zw, index), 0.0).r; + depths.z = textureLod(planarDepth, vec3(uv2.xy, index), 0.0).r; + depths.w = textureLod(planarDepth, vec3(uv2.zw, index), 0.0).r; + } + else { #endif - depths.x = textureLod(maxzBuffer, uv1.xy, lod).r; - depths.y = textureLod(maxzBuffer, uv1.zw, lod).r; - depths.z = textureLod(maxzBuffer, uv2.xy, lod).r; - depths.w = textureLod(maxzBuffer, uv2.zw, lod).r; + depths.x = textureLod(maxzBuffer, uv1.xy, lod).r; + depths.y = textureLod(maxzBuffer, uv1.zw, lod).r; + depths.z = textureLod(maxzBuffer, uv2.xy, lod).r; + depths.w = textureLod(maxzBuffer, uv2.zw, lod).r; #ifdef PLANAR_PROBE_RAYTRACE - } + } #endif - return depths; + return depths; } float refine_isect(float prev_delta, float curr_delta) { - /** - * Simplification of 2D intersection : - * r0 = (0.0, prev_ss_ray.z); - * r1 = (1.0, curr_ss_ray.z); - * d0 = (0.0, prev_hit_depth_sample); - * d1 = (1.0, curr_hit_depth_sample); - * vec2 r = r1 - r0; - * vec2 d = d1 - d0; - * vec2 isect = ((d * cross(r1, r0)) - (r * cross(d1, d0))) / cross(r,d); - * - * We only want isect.x to know how much stride we need. So it simplifies : - * - * isect_x = (cross(r1, r0) - cross(d1, d0)) / cross(r,d); - * isect_x = (prev_ss_ray.z - prev_hit_depth_sample.z) / cross(r,d); - */ - return saturate(prev_delta / (prev_delta - curr_delta)); + /** + * Simplification of 2D intersection : + * r0 = (0.0, prev_ss_ray.z); + * r1 = (1.0, curr_ss_ray.z); + * d0 = (0.0, prev_hit_depth_sample); + * d1 = (1.0, curr_hit_depth_sample); + * vec2 r = r1 - r0; + * vec2 d = d1 - d0; + * vec2 isect = ((d * cross(r1, r0)) - (r * cross(d1, d0))) / cross(r,d); + * + * We only want isect.x to know how much stride we need. So it simplifies : + * + * isect_x = (cross(r1, r0) - cross(d1, d0)) / cross(r,d); + * isect_x = (prev_ss_ray.z - prev_hit_depth_sample.z) / cross(r,d); + */ + return saturate(prev_delta / (prev_delta - curr_delta)); } -void prepare_raycast( - vec3 ray_origin, vec3 ray_dir, float thickness, int index, out vec4 ss_step, out vec4 ss_ray, out float max_time) +void prepare_raycast(vec3 ray_origin, + vec3 ray_dir, + float thickness, + int index, + out vec4 ss_step, + out vec4 ss_ray, + out float max_time) { - /* Negate the ray direction if it goes towards the camera. - * This way we don't need to care if the projected point - * is behind the near plane. */ - float z_sign = -sign(ray_dir.z); - vec3 ray_end = ray_origin + z_sign * ray_dir; - - /* Project into screen space. */ - vec4 ss_start, ss_end; - ss_start.xyz = project_point(ProjectionMatrix, ray_origin); - ss_end.xyz = project_point(ProjectionMatrix, ray_end); - - /* We interpolate the ray Z + thickness values to check if depth is within threshold. */ - ray_origin.z -= thickness; - ray_end.z -= thickness; - ss_start.w = project_point(ProjectionMatrix, ray_origin).z; - ss_end.w = project_point(ProjectionMatrix, ray_end).z; - - /* XXX This is a hack a better method is welcome ! */ - /* We take the delta between the offseted depth and the depth and substract it from the ray depth. - * This will change the world space thickness appearance a bit but we can have negative - * values without worries. We cannot do this in viewspace because of the perspective division. */ - ss_start.w = 2.0 * ss_start.z - ss_start.w; - ss_end.w = 2.0 * ss_end.z - ss_end.w; - - ss_step = ss_end - ss_start; - max_time = length(ss_step.xyz); - ss_step = z_sign * ss_step / length(ss_step.xyz); - - /* If the line is degenerate, make it cover at least one pixel - * to not have to handle zero-pixel extent as a special case later */ - ss_step.xy += vec2((dot(ss_step.xy, ss_step.xy) < 0.00001) ? 0.001 : 0.0); - - /* Make ss_step cover one pixel. */ - ss_step /= max(abs(ss_step.x), abs(ss_step.y)); - ss_step *= (abs(ss_step.x) > abs(ss_step.y)) ? ssrPixelSize.x : ssrPixelSize.y; - - /* Clip to segment's end. */ - max_time /= length(ss_step.xyz); - - /* Clipping to frustum sides. */ - max_time = min(max_time, line_unit_box_intersect_dist(ss_start.xyz, ss_step.xyz)); - - /* Convert to texture coords. Z component included - * since this is how it's stored in the depth buffer. - * 4th component how far we are on the ray */ + /* Negate the ray direction if it goes towards the camera. + * This way we don't need to care if the projected point + * is behind the near plane. */ + float z_sign = -sign(ray_dir.z); + vec3 ray_end = ray_origin + z_sign * ray_dir; + + /* Project into screen space. */ + vec4 ss_start, ss_end; + ss_start.xyz = project_point(ProjectionMatrix, ray_origin); + ss_end.xyz = project_point(ProjectionMatrix, ray_end); + + /* We interpolate the ray Z + thickness values to check if depth is within threshold. */ + ray_origin.z -= thickness; + ray_end.z -= thickness; + ss_start.w = project_point(ProjectionMatrix, ray_origin).z; + ss_end.w = project_point(ProjectionMatrix, ray_end).z; + + /* XXX This is a hack a better method is welcome ! */ + /* We take the delta between the offseted depth and the depth and substract it from the ray depth. + * This will change the world space thickness appearance a bit but we can have negative + * values without worries. We cannot do this in viewspace because of the perspective division. */ + ss_start.w = 2.0 * ss_start.z - ss_start.w; + ss_end.w = 2.0 * ss_end.z - ss_end.w; + + ss_step = ss_end - ss_start; + max_time = length(ss_step.xyz); + ss_step = z_sign * ss_step / length(ss_step.xyz); + + /* If the line is degenerate, make it cover at least one pixel + * to not have to handle zero-pixel extent as a special case later */ + ss_step.xy += vec2((dot(ss_step.xy, ss_step.xy) < 0.00001) ? 0.001 : 0.0); + + /* Make ss_step cover one pixel. */ + ss_step /= max(abs(ss_step.x), abs(ss_step.y)); + ss_step *= (abs(ss_step.x) > abs(ss_step.y)) ? ssrPixelSize.x : ssrPixelSize.y; + + /* Clip to segment's end. */ + max_time /= length(ss_step.xyz); + + /* Clipping to frustum sides. */ + max_time = min(max_time, line_unit_box_intersect_dist(ss_start.xyz, ss_step.xyz)); + + /* Convert to texture coords. Z component included + * since this is how it's stored in the depth buffer. + * 4th component how far we are on the ray */ #ifdef PLANAR_PROBE_RAYTRACE - /* Planar Reflections have X mirrored. */ - vec2 m = (index > -1) ? vec2(-0.5, 0.5) : vec2(0.5); + /* Planar Reflections have X mirrored. */ + vec2 m = (index > -1) ? vec2(-0.5, 0.5) : vec2(0.5); #else - const vec2 m = vec2(0.5); + const vec2 m = vec2(0.5); #endif - ss_ray = ss_start * m.xyyy + 0.5; - ss_step *= m.xyyy; + ss_ray = ss_start * m.xyyy + 0.5; + ss_step *= m.xyyy; - ss_ray.xy += m * ssrPixelSize * 2.0; /* take the center of the texel. * 2 because halfres. */ + ss_ray.xy += m * ssrPixelSize * 2.0; /* take the center of the texel. * 2 because halfres. */ } /* See times_and_deltas. */ -#define curr_time times_and_deltas.x -#define prev_time times_and_deltas.y -#define curr_delta times_and_deltas.z -#define prev_delta times_and_deltas.w +#define curr_time times_and_deltas.x +#define prev_time times_and_deltas.y +#define curr_delta times_and_deltas.z +#define prev_delta times_and_deltas.w // #define GROUPED_FETCHES /* is still slower, need to see where is the bottleneck. */ /* Return the hit position, and negate the z component (making it positive) if not hit occurred. */ /* __ray_dir__ is the ray direction premultiplied by it's maximum length */ -vec3 raycast( - int index, vec3 ray_origin, vec3 ray_dir, float thickness, float ray_jitter, - float trace_quality, float roughness, const bool discard_backface) +vec3 raycast(int index, + vec3 ray_origin, + vec3 ray_dir, + float thickness, + float ray_jitter, + float trace_quality, + float roughness, + const bool discard_backface) { - vec4 ss_step, ss_start; - float max_time; - prepare_raycast(ray_origin, ray_dir, thickness, index, ss_step, ss_start, max_time); + vec4 ss_step, ss_start; + float max_time; + prepare_raycast(ray_origin, ray_dir, thickness, index, ss_step, ss_start, max_time); - float max_trace_time = max(0.01, max_time - 0.01); + float max_trace_time = max(0.01, max_time - 0.01); #ifdef GROUPED_FETCHES - ray_jitter *= 0.25; + ray_jitter *= 0.25; #endif - /* x : current_time, y: previous_time, z: current_delta, w: previous_delta */ - vec4 times_and_deltas = vec4(0.0); + /* x : current_time, y: previous_time, z: current_delta, w: previous_delta */ + vec4 times_and_deltas = vec4(0.0); - float ray_time = 0.0; - float depth_sample = sample_depth(ss_start.xy, index, 0.0); - curr_delta = depth_sample - ss_start.z; + float ray_time = 0.0; + float depth_sample = sample_depth(ss_start.xy, index, 0.0); + curr_delta = depth_sample - ss_start.z; - float lod_fac = saturate(fast_sqrt(roughness) * 2.0 - 0.4); - bool hit = false; - float iter; - for (iter = 1.0; !hit && (ray_time < max_time) && (iter < MAX_STEP); iter++) { - /* Minimum stride of 2 because we are using half res minmax zbuffer. */ - float stride = max(1.0, iter * trace_quality) * 2.0; - float lod = log2(stride * 0.5 * trace_quality) * lod_fac; - ray_time += stride; + float lod_fac = saturate(fast_sqrt(roughness) * 2.0 - 0.4); + bool hit = false; + float iter; + for (iter = 1.0; !hit && (ray_time < max_time) && (iter < MAX_STEP); iter++) { + /* Minimum stride of 2 because we are using half res minmax zbuffer. */ + float stride = max(1.0, iter * trace_quality) * 2.0; + float lod = log2(stride * 0.5 * trace_quality) * lod_fac; + ray_time += stride; - /* Save previous values. */ - times_and_deltas.xyzw = times_and_deltas.yxwz; + /* Save previous values. */ + times_and_deltas.xyzw = times_and_deltas.yxwz; #ifdef GROUPED_FETCHES - stride *= 4.0; - vec4 jit_stride = mix(vec4(2.0), vec4(stride), vec4(0.0, 0.25, 0.5, 0.75) + ray_jitter); - - vec4 times = min(vec4(ray_time) + jit_stride, vec4(max_trace_time)); - - vec4 uv1 = ss_start.xyxy + ss_step.xyxy * times.xxyy; - vec4 uv2 = ss_start.xyxy + ss_step.xyxy * times.zzww; - - vec4 depth_samples = sample_depth_grouped(uv1, uv2, index, lod); - - vec4 ray_z = ss_start.zzzz + ss_step.zzzz * times.xyzw; - vec4 ray_w = ss_start.wwww + ss_step.wwww * vec4(prev_time, times.xyz); - - vec4 deltas = depth_samples - ray_z; - /* Same as component wise (curr_delta <= 0.0) && (prev_w <= depth_sample). */ - bvec4 test = equal(step(deltas, vec4(0.0)) * step(ray_w, depth_samples), vec4(1.0)); - hit = any(test); - - if (hit) { - vec2 m = vec2(1.0, 0.0); /* Mask */ - - vec4 ret_times_and_deltas = times.wzzz * m.xxyy + deltas.wwwz * m.yyxx; - ret_times_and_deltas = (test.z) ? times.zyyy * m.xxyy + deltas.zzzy * m.yyxx : ret_times_and_deltas; - ret_times_and_deltas = (test.y) ? times.yxxx * m.xxyy + deltas.yyyx * m.yyxx : ret_times_and_deltas; - times_and_deltas = (test.x) ? times.xxxx * m.xyyy + deltas.xxxx * m.yyxy + times_and_deltas.yyww * m.yxyx : ret_times_and_deltas; - - depth_sample = depth_samples.w; - depth_sample = (test.z) ? depth_samples.z : depth_sample; - depth_sample = (test.y) ? depth_samples.y : depth_sample; - depth_sample = (test.x) ? depth_samples.x : depth_sample; - } - else { - curr_time = times.w; - curr_delta = deltas.w; - } + stride *= 4.0; + vec4 jit_stride = mix(vec4(2.0), vec4(stride), vec4(0.0, 0.25, 0.5, 0.75) + ray_jitter); + + vec4 times = min(vec4(ray_time) + jit_stride, vec4(max_trace_time)); + + vec4 uv1 = ss_start.xyxy + ss_step.xyxy * times.xxyy; + vec4 uv2 = ss_start.xyxy + ss_step.xyxy * times.zzww; + + vec4 depth_samples = sample_depth_grouped(uv1, uv2, index, lod); + + vec4 ray_z = ss_start.zzzz + ss_step.zzzz * times.xyzw; + vec4 ray_w = ss_start.wwww + ss_step.wwww * vec4(prev_time, times.xyz); + + vec4 deltas = depth_samples - ray_z; + /* Same as component wise (curr_delta <= 0.0) && (prev_w <= depth_sample). */ + bvec4 test = equal(step(deltas, vec4(0.0)) * step(ray_w, depth_samples), vec4(1.0)); + hit = any(test); + + if (hit) { + vec2 m = vec2(1.0, 0.0); /* Mask */ + + vec4 ret_times_and_deltas = times.wzzz * m.xxyy + deltas.wwwz * m.yyxx; + ret_times_and_deltas = (test.z) ? times.zyyy * m.xxyy + deltas.zzzy * m.yyxx : + ret_times_and_deltas; + ret_times_and_deltas = (test.y) ? times.yxxx * m.xxyy + deltas.yyyx * m.yyxx : + ret_times_and_deltas; + times_and_deltas = (test.x) ? times.xxxx * m.xyyy + deltas.xxxx * m.yyxy + + times_and_deltas.yyww * m.yxyx : + ret_times_and_deltas; + + depth_sample = depth_samples.w; + depth_sample = (test.z) ? depth_samples.z : depth_sample; + depth_sample = (test.y) ? depth_samples.y : depth_sample; + depth_sample = (test.x) ? depth_samples.x : depth_sample; + } + else { + curr_time = times.w; + curr_delta = deltas.w; + } #else - float jit_stride = mix(2.0, stride, ray_jitter); + float jit_stride = mix(2.0, stride, ray_jitter); - curr_time = min(ray_time + jit_stride, max_trace_time); - vec4 ss_ray = ss_start + ss_step * curr_time; + curr_time = min(ray_time + jit_stride, max_trace_time); + vec4 ss_ray = ss_start + ss_step * curr_time; - depth_sample = sample_depth(ss_ray.xy, index, lod); + depth_sample = sample_depth(ss_ray.xy, index, lod); - float prev_w = ss_start.w + ss_step.w * prev_time; - curr_delta = depth_sample - ss_ray.z; - hit = (curr_delta <= 0.0) && (prev_w <= depth_sample); + float prev_w = ss_start.w + ss_step.w * prev_time; + curr_delta = depth_sample - ss_ray.z; + hit = (curr_delta <= 0.0) && (prev_w <= depth_sample); #endif - } + } - if (discard_backface) { - /* Discard backface hits */ - hit = hit && (prev_delta > 0.0); - } + if (discard_backface) { + /* Discard backface hits */ + hit = hit && (prev_delta > 0.0); + } - /* Reject hit if background. */ - hit = hit && (depth_sample != 1.0); + /* Reject hit if background. */ + hit = hit && (depth_sample != 1.0); - curr_time = (hit) ? mix(prev_time, curr_time, refine_isect(prev_delta, curr_delta)) : curr_time; - ray_time = (hit) ? curr_time : ray_time; + curr_time = (hit) ? mix(prev_time, curr_time, refine_isect(prev_delta, curr_delta)) : curr_time; + ray_time = (hit) ? curr_time : ray_time; - /* Clip to frustum. */ - ray_time = max(0.001, min(ray_time, max_time - 1.5)); + /* Clip to frustum. */ + ray_time = max(0.001, min(ray_time, max_time - 1.5)); - vec4 ss_ray = ss_start + ss_step * ray_time; + vec4 ss_ray = ss_start + ss_step * ray_time; - /* Tag Z if ray failed. */ - ss_ray.z *= (hit) ? 1.0 : -1.0; - return ss_ray.xyz; + /* Tag Z if ray failed. */ + ss_ray.z *= (hit) ? 1.0 : -1.0; + return ss_ray.xyz; } float screen_border_mask(vec2 hit_co) { - const float margin = 0.003; - float atten = ssrBorderFac + margin; /* Screen percentage */ - hit_co = smoothstep(margin, atten, hit_co) * (1 - smoothstep(1.0 - atten, 1.0 - margin, hit_co)); + const float margin = 0.003; + float atten = ssrBorderFac + margin; /* Screen percentage */ + hit_co = smoothstep(margin, atten, hit_co) * (1 - smoothstep(1.0 - atten, 1.0 - margin, hit_co)); - float screenfade = hit_co.x * hit_co.y; + float screenfade = hit_co.x * hit_co.y; - return screenfade; + return screenfade; } diff --git a/source/blender/draw/engines/eevee/shaders/shadow_copy_frag.glsl b/source/blender/draw/engines/eevee/shaders/shadow_copy_frag.glsl index 3ac214bfde2..d4f75965907 100644 --- a/source/blender/draw/engines/eevee/shaders/shadow_copy_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/shadow_copy_frag.glsl @@ -1,15 +1,16 @@ /* Copy the depth only shadowmap into another texture while converting * to linear depth (or other storage method) and doing a 3x3 box filter. */ -layout(std140) uniform shadow_render_block { - vec4 lampPosition; - float cubeTexelSize; - float storedTexelSize; - float nearClip; - float farClip; - int shadowSampleCount; - float shadowInvSampleCount; - float exponent; +layout(std140) uniform shadow_render_block +{ + vec4 lampPosition; + float cubeTexelSize; + float storedTexelSize; + float nearClip; + float farClip; + int shadowSampleCount; + float shadowInvSampleCount; + float exponent; }; #ifdef CSM @@ -23,7 +24,8 @@ uniform float shadowFilterSize; out vec4 FragColor; -#define linear_depth(z) ((nearClip * farClip) / (clamp(z, 0.0, 0.999999) * (nearClip - farClip) + farClip)) +#define linear_depth(z) \ + ((nearClip * farClip) / (clamp(z, 0.0, 0.999999) * (nearClip - farClip) + farClip)) /* add bias so background filtering does not bleed into shadow map */ #define BACKGROUND_BIAS 0.05 @@ -31,38 +33,40 @@ out vec4 FragColor; #ifdef CSM vec4 get_world_distance(vec4 depths, vec3 cos[4]) { - depths += step(vec4(0.9999), depths) * BACKGROUND_BIAS; - return clamp(depths * abs(farClip - nearClip), 0.0, 1e10); /* Same factor as in shadow_cascade(). */ + depths += step(vec4(0.9999), depths) * BACKGROUND_BIAS; + return clamp( + depths * abs(farClip - nearClip), 0.0, 1e10); /* Same factor as in shadow_cascade(). */ } float get_world_distance(float depth, vec3 cos) { - depth += step(0.9999, depth) * BACKGROUND_BIAS; - return clamp(depth * abs(farClip - nearClip), 0.0, 1e10); /* Same factor as in shadow_cascade(). */ + depth += step(0.9999, depth) * BACKGROUND_BIAS; + return clamp( + depth * abs(farClip - nearClip), 0.0, 1e10); /* Same factor as in shadow_cascade(). */ } #else /* CUBEMAP */ vec4 get_world_distance(vec4 depths, vec3 cos[4]) { - depths = linear_depth(depths); - cos[0] = normalize(abs(cos[0])); - cos[1] = normalize(abs(cos[1])); - cos[2] = normalize(abs(cos[2])); - cos[3] = normalize(abs(cos[3])); - vec4 cos_vec; - cos_vec.x = max(cos[0].x, max(cos[0].y, cos[0].z)); - cos_vec.y = max(cos[1].x, max(cos[1].y, cos[1].z)); - cos_vec.z = max(cos[2].x, max(cos[2].y, cos[2].z)); - cos_vec.w = max(cos[3].x, max(cos[3].y, cos[3].z)); - return depths / cos_vec; + depths = linear_depth(depths); + cos[0] = normalize(abs(cos[0])); + cos[1] = normalize(abs(cos[1])); + cos[2] = normalize(abs(cos[2])); + cos[3] = normalize(abs(cos[3])); + vec4 cos_vec; + cos_vec.x = max(cos[0].x, max(cos[0].y, cos[0].z)); + cos_vec.y = max(cos[1].x, max(cos[1].y, cos[1].z)); + cos_vec.z = max(cos[2].x, max(cos[2].y, cos[2].z)); + cos_vec.w = max(cos[3].x, max(cos[3].y, cos[3].z)); + return depths / cos_vec; } float get_world_distance(float depth, vec3 cos) { - depth = linear_depth(depth); - cos = normalize(abs(cos)); - float cos_vec = max(cos.x, max(cos.y, cos.z)); - return depth / cos_vec; + depth = linear_depth(depth); + cos = normalize(abs(cos)); + float cos_vec = max(cos.x, max(cos.y, cos.z)); + return depth / cos_vec; } #endif @@ -75,122 +79,117 @@ float get_world_distance(float depth, vec3 cos) #ifdef ESM void prefilter(vec4 depths, float ref, inout float accum) { - accum += dot(ln_space_prefilter_step(ref, depths), vec4(1.0)); + accum += dot(ln_space_prefilter_step(ref, depths), vec4(1.0)); } #else /* VSM */ void prefilter(vec4 depths, float ref, inout vec2 accum) { - vec4 depths_sqr = depths * depths; - accum += vec2(dot(vec4(1.0), depths), dot(vec4(1.0), depths_sqr)) * SAMPLE_WEIGHT; + vec4 depths_sqr = depths * depths; + accum += vec2(dot(vec4(1.0), depths), dot(vec4(1.0), depths_sqr)) * SAMPLE_WEIGHT; } #endif #ifdef CSM vec3 get_texco(vec2 uvs, vec2 ofs) { - return vec3(uvs + ofs, float(cascadeId)); + return vec3(uvs + ofs, float(cascadeId)); } #else /* CUBEMAP */ -const vec3 minorAxisX[6] = vec3[6]( - vec3(0.0f, 0.0f, -1.0f), - vec3(0.0f, 0.0f, 1.0f), - vec3(1.0f, 0.0f, 0.0f), - vec3(1.0f, 0.0f, 0.0f), - vec3(1.0f, 0.0f, 0.0f), - vec3(-1.0f, 0.0f, 0.0f) -); - -const vec3 minorAxisY[6] = vec3[6]( - vec3(0.0f, -1.0f, 0.0f), - vec3(0.0f, -1.0f, 0.0f), - vec3(0.0f, 0.0f, 1.0f), - vec3(0.0f, 0.0f, -1.0f), - vec3(0.0f, -1.0f, 0.0f), - vec3(0.0f, -1.0f, 0.0f) -); - -const vec3 majorAxis[6] = vec3[6]( - vec3(1.0f, 0.0f, 0.0f), - vec3(-1.0f, 0.0f, 0.0f), - vec3(0.0f, 1.0f, 0.0f), - vec3(0.0f, -1.0f, 0.0f), - vec3(0.0f, 0.0f, 1.0f), - vec3(0.0f, 0.0f, -1.0f) -); +const vec3 minorAxisX[6] = vec3[6](vec3(0.0f, 0.0f, -1.0f), + vec3(0.0f, 0.0f, 1.0f), + vec3(1.0f, 0.0f, 0.0f), + vec3(1.0f, 0.0f, 0.0f), + vec3(1.0f, 0.0f, 0.0f), + vec3(-1.0f, 0.0f, 0.0f)); + +const vec3 minorAxisY[6] = vec3[6](vec3(0.0f, -1.0f, 0.0f), + vec3(0.0f, -1.0f, 0.0f), + vec3(0.0f, 0.0f, 1.0f), + vec3(0.0f, 0.0f, -1.0f), + vec3(0.0f, -1.0f, 0.0f), + vec3(0.0f, -1.0f, 0.0f)); + +const vec3 majorAxis[6] = vec3[6](vec3(1.0f, 0.0f, 0.0f), + vec3(-1.0f, 0.0f, 0.0f), + vec3(0.0f, 1.0f, 0.0f), + vec3(0.0f, -1.0f, 0.0f), + vec3(0.0f, 0.0f, 1.0f), + vec3(0.0f, 0.0f, -1.0f)); vec3 get_texco(vec2 uvs, vec2 ofs) { - uvs += ofs; - return majorAxis[faceId] + uvs.x * minorAxisX[faceId] + uvs.y * minorAxisY[faceId]; + uvs += ofs; + return majorAxis[faceId] + uvs.x * minorAxisX[faceId] + uvs.y * minorAxisY[faceId]; } #endif -void main() { - /* Copy the depth only shadowmap into another texture while converting - * to linear depth and do a 3x3 box blur. */ +void main() +{ + /* Copy the depth only shadowmap into another texture while converting + * to linear depth and do a 3x3 box blur. */ #ifdef CSM - vec2 uvs = gl_FragCoord.xy * storedTexelSize; + vec2 uvs = gl_FragCoord.xy * storedTexelSize; #else /* CUBEMAP */ - vec2 uvs = gl_FragCoord.xy * cubeTexelSize * 2.0 - 1.0; + vec2 uvs = gl_FragCoord.xy * cubeTexelSize * 2.0 - 1.0; #endif - /* Center texel */ - vec3 co = get_texco(uvs, vec2(0.0)); - float depth = texture(shadowTexture, co).r; - depth = get_world_distance(depth, co); + /* Center texel */ + vec3 co = get_texco(uvs, vec2(0.0)); + float depth = texture(shadowTexture, co).r; + depth = get_world_distance(depth, co); - if (shadowFilterSize == 0.0) { + if (shadowFilterSize == 0.0) { #ifdef ESM - FragColor = vec4(depth); + FragColor = vec4(depth); #else /* VSM */ - FragColor = vec2(depth, depth * depth).xyxy; + FragColor = vec2(depth, depth * depth).xyxy; #endif - return; - } + return; + } #ifdef ESM - float accum = 1.0; - float ref = depth; + float accum = 1.0; + float ref = depth; #else /* VSM */ - float ref = 0.0; /* UNUSED */ - vec2 accum = vec2(depth, depth * depth) * SAMPLE_WEIGHT; + float ref = 0.0; /* UNUSED */ + vec2 accum = vec2(depth, depth * depth) * SAMPLE_WEIGHT; #endif #ifdef CSM - vec3 ofs = vec3(1.0, 0.0, -1.0) * shadowFilterSize; + vec3 ofs = vec3(1.0, 0.0, -1.0) * shadowFilterSize; #else /* CUBEMAP */ - vec3 ofs = vec3(1.0, 0.0, -1.0) * shadowFilterSize; + vec3 ofs = vec3(1.0, 0.0, -1.0) * shadowFilterSize; #endif - vec3 cos[4]; - cos[0] = get_texco(uvs, ofs.zz); - cos[1] = get_texco(uvs, ofs.yz); - cos[2] = get_texco(uvs, ofs.xz); - cos[3] = get_texco(uvs, ofs.zy); - - vec4 depths; - depths.x = texture(shadowTexture, cos[0]).r; - depths.y = texture(shadowTexture, cos[1]).r; - depths.z = texture(shadowTexture, cos[2]).r; - depths.w = texture(shadowTexture, cos[3]).r; - depths = get_world_distance(depths, cos); - prefilter(depths, ref, accum); - - cos[0] = get_texco(uvs, ofs.xy); - cos[1] = get_texco(uvs, ofs.zx); - cos[2] = get_texco(uvs, ofs.yx); - cos[3] = get_texco(uvs, ofs.xx); - depths.x = texture(shadowTexture, cos[0]).r; - depths.y = texture(shadowTexture, cos[1]).r; - depths.z = texture(shadowTexture, cos[2]).r; - depths.w = texture(shadowTexture, cos[3]).r; - depths = get_world_distance(depths, cos); - prefilter(depths, ref, accum); + vec3 cos[4]; + cos[0] = get_texco(uvs, ofs.zz); + cos[1] = get_texco(uvs, ofs.yz); + cos[2] = get_texco(uvs, ofs.xz); + cos[3] = get_texco(uvs, ofs.zy); + + vec4 depths; + depths.x = texture(shadowTexture, cos[0]).r; + depths.y = texture(shadowTexture, cos[1]).r; + depths.z = texture(shadowTexture, cos[2]).r; + depths.w = texture(shadowTexture, cos[3]).r; + depths = get_world_distance(depths, cos); + prefilter(depths, ref, accum); + + cos[0] = get_texco(uvs, ofs.xy); + cos[1] = get_texco(uvs, ofs.zx); + cos[2] = get_texco(uvs, ofs.yx); + cos[3] = get_texco(uvs, ofs.xx); + depths.x = texture(shadowTexture, cos[0]).r; + depths.y = texture(shadowTexture, cos[1]).r; + depths.z = texture(shadowTexture, cos[2]).r; + depths.w = texture(shadowTexture, cos[3]).r; + depths = get_world_distance(depths, cos); + prefilter(depths, ref, accum); #ifdef ESM - accum = ln_space_prefilter_finalize(ref, accum); + accum = ln_space_prefilter_finalize(ref, accum); #endif - FragColor = vec2(accum).xyxy; + FragColor = vec2(accum).xyxy; } diff --git a/source/blender/draw/engines/eevee/shaders/shadow_frag.glsl b/source/blender/draw/engines/eevee/shaders/shadow_frag.glsl index 160fcee4c73..a394ce2b6f4 100644 --- a/source/blender/draw/engines/eevee/shaders/shadow_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/shadow_frag.glsl @@ -1,4 +1,5 @@ -void main() { - /* Do nothing */ +void main() +{ + /* Do nothing */ } diff --git a/source/blender/draw/engines/eevee/shaders/shadow_store_frag.glsl b/source/blender/draw/engines/eevee/shaders/shadow_store_frag.glsl index cb7b2b0312a..5c0f5adda27 100644 --- a/source/blender/draw/engines/eevee/shaders/shadow_store_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/shadow_store_frag.glsl @@ -1,13 +1,14 @@ -layout(std140) uniform shadow_render_block { - vec4 lampPosition; - float cubeTexelSize; - float storedTexelSize; - float nearClip; - float farClip; - int shadowSampleCount; - float shadowInvSampleCount; - float exponent; +layout(std140) uniform shadow_render_block +{ + vec4 lampPosition; + float cubeTexelSize; + float storedTexelSize; + float nearClip; + float farClip; + int shadowSampleCount; + float shadowInvSampleCount; + float exponent; }; #ifdef CSM @@ -22,16 +23,16 @@ out vec4 FragColor; vec3 octahedral_to_cubemap_proj(vec2 co) { - co = co * 2.0 - 1.0; + co = co * 2.0 - 1.0; - vec2 abs_co = abs(co); - vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); + vec2 abs_co = abs(co); + vec3 v = vec3(co, 1.0 - (abs_co.x + abs_co.y)); - if ( abs_co.x + abs_co.y > 1.0 ) { - v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); - } + if (abs_co.x + abs_co.y > 1.0) { + v.xy = (abs(co.yx) - 1.0) * -sign(co.xy); + } - return v; + return v; } /* Marco Salvi's GDC 2008 presentation about shadow maps pre-filtering techniques slide 24 */ @@ -42,8 +43,8 @@ vec3 octahedral_to_cubemap_proj(vec2 co) #ifdef CSM vec3 get_texco(vec3 cos, const vec2 ofs) { - cos.xy += ofs * shadowFilterSize; - return cos; + cos.xy += ofs * shadowFilterSize; + return cos; } #else /* CUBEMAP */ /* global vars */ @@ -52,191 +53,260 @@ vec3 B = vec3(0.0); void make_orthonormal_basis(vec3 N) { - vec3 UpVector = (abs(N.z) < 0.999) ? vec3(0.0, 0.0, 1.0) : vec3(1.0, 0.0, 0.0); - T = normalize(cross(UpVector, N)); - B = cross(N, T); + vec3 UpVector = (abs(N.z) < 0.999) ? vec3(0.0, 0.0, 1.0) : vec3(1.0, 0.0, 0.0); + T = normalize(cross(UpVector, N)); + B = cross(N, T); } vec3 get_texco(vec3 cos, const vec2 ofs) { - return cos + ofs.x * T + ofs.y * B; + return cos + ofs.x * T + ofs.y * B; } #endif #ifdef ESM -void grouped_samples_accum( - vec3 cos, - const vec2 co1, const vec2 co2, const vec2 co3, const vec2 co4, - float ref, - inout vec4 accum) +void grouped_samples_accum(vec3 cos, + const vec2 co1, + const vec2 co2, + const vec2 co3, + const vec2 co4, + float ref, + inout vec4 accum) { - vec4 depths; - depths.x = texture(shadowTexture, get_texco(cos, co1)).r; - depths.y = texture(shadowTexture, get_texco(cos, co2)).r; - depths.z = texture(shadowTexture, get_texco(cos, co3)).r; - depths.w = texture(shadowTexture, get_texco(cos, co4)).r; + vec4 depths; + depths.x = texture(shadowTexture, get_texco(cos, co1)).r; + depths.y = texture(shadowTexture, get_texco(cos, co2)).r; + depths.z = texture(shadowTexture, get_texco(cos, co3)).r; + depths.w = texture(shadowTexture, get_texco(cos, co4)).r; - accum += ln_space_prefilter_step(ref, depths); + accum += ln_space_prefilter_step(ref, depths); } #else /* VSM */ -void grouped_samples_accum( - vec3 cos, - const vec2 co1, const vec2 co2, const vec2 co3, const vec2 co4, - float ref, - inout vec2 accum) +void grouped_samples_accum(vec3 cos, + const vec2 co1, + const vec2 co2, + const vec2 co3, + const vec2 co4, + float ref, + inout vec2 accum) { - vec4 depths1, depths2; - depths1.xy = texture(shadowTexture, get_texco(cos, co1)).rg; - depths1.zw = texture(shadowTexture, get_texco(cos, co2)).rg; - depths2.xy = texture(shadowTexture, get_texco(cos, co3)).rg; - depths2.zw = texture(shadowTexture, get_texco(cos, co4)).rg; + vec4 depths1, depths2; + depths1.xy = texture(shadowTexture, get_texco(cos, co1)).rg; + depths1.zw = texture(shadowTexture, get_texco(cos, co2)).rg; + depths2.xy = texture(shadowTexture, get_texco(cos, co3)).rg; + depths2.zw = texture(shadowTexture, get_texco(cos, co4)).rg; - accum += depths1.xy + depths1.zw + depths2.xy + depths2.zw; + accum += depths1.xy + depths1.zw + depths2.xy + depths2.zw; } #endif -void main() { - vec3 cos; +void main() +{ + vec3 cos; - cos.xy = gl_FragCoord.xy * storedTexelSize; + cos.xy = gl_FragCoord.xy * storedTexelSize; #ifdef CSM - cos.z = float(cascadeId); + cos.z = float(cascadeId); #else /* CUBEMAP */ - /* add a 2 pixel border to ensure filtering is correct */ - cos.xy *= 1.0 + storedTexelSize * 2.0; - cos.xy -= storedTexelSize; + /* add a 2 pixel border to ensure filtering is correct */ + cos.xy *= 1.0 + storedTexelSize * 2.0; + cos.xy -= storedTexelSize; - float pattern = 1.0; + float pattern = 1.0; - /* edge mirroring : only mirror if directly adjacent - * (not diagonally adjacent) */ - vec2 m = abs(cos.xy - 0.5) + 0.5; - vec2 f = floor(m); - if (f.x - f.y != 0.0) { - cos.xy = 1.0 - cos.xy; - } + /* edge mirroring : only mirror if directly adjacent + * (not diagonally adjacent) */ + vec2 m = abs(cos.xy - 0.5) + 0.5; + vec2 f = floor(m); + if (f.x - f.y != 0.0) { + cos.xy = 1.0 - cos.xy; + } - /* clamp to [0-1] */ - cos.xy = fract(cos.xy); + /* clamp to [0-1] */ + cos.xy = fract(cos.xy); - /* get cubemap vector */ - cos = normalize(octahedral_to_cubemap_proj(cos.xy)); - make_orthonormal_basis(cos); + /* get cubemap vector */ + cos = normalize(octahedral_to_cubemap_proj(cos.xy)); + make_orthonormal_basis(cos); - T *= shadowFilterSize; - B *= shadowFilterSize; + T *= shadowFilterSize; + B *= shadowFilterSize; #endif #ifdef ESM - /* disc blur in log space. */ - vec4 depths; - depths.x = texture(shadowTexture, get_texco(cos, concentric[0])).r; - depths.y = texture(shadowTexture, get_texco(cos, concentric[1])).r; - depths.z = texture(shadowTexture, get_texco(cos, concentric[2])).r; - depths.w = texture(shadowTexture, get_texco(cos, concentric[3])).r; - float ref = depths.x; - vec4 accum = ln_space_prefilter_step(ref, depths); + /* disc blur in log space. */ + vec4 depths; + depths.x = texture(shadowTexture, get_texco(cos, concentric[0])).r; + depths.y = texture(shadowTexture, get_texco(cos, concentric[1])).r; + depths.z = texture(shadowTexture, get_texco(cos, concentric[2])).r; + depths.w = texture(shadowTexture, get_texco(cos, concentric[3])).r; + float ref = depths.x; + vec4 accum = ln_space_prefilter_step(ref, depths); #else /* VSM */ - float ref = 0.0; /* UNUSED */ - vec2 accum = vec2(0.0); - grouped_samples_accum(cos, concentric[0], concentric[1], concentric[2], concentric[3], ref, accum); + float ref = 0.0; /* UNUSED */ + vec2 accum = vec2(0.0); + grouped_samples_accum( + cos, concentric[0], concentric[1], concentric[2], concentric[3], ref, accum); #endif - /** - * Making the `grouped_samples_accum` be called within a loop would be - * the most conventional solution, however in some older gpus, transverse the huge - * `const vec2 concentric[]` array with variable indices is extremely slow. - * The solution is to use constant indices to access the array. - */ - if (shadowSampleCount > 4) { - grouped_samples_accum(cos, concentric[4], concentric[5], concentric[6], concentric[7], ref, accum); - grouped_samples_accum(cos, concentric[8], concentric[9], concentric[10], concentric[11], ref, accum); - grouped_samples_accum(cos, concentric[12], concentric[13], concentric[14], concentric[15], ref, accum); - } - if (shadowSampleCount > 16) { - grouped_samples_accum(cos, concentric[16], concentric[17], concentric[18], concentric[19], ref, accum); - grouped_samples_accum(cos, concentric[20], concentric[21], concentric[22], concentric[23], ref, accum); - grouped_samples_accum(cos, concentric[24], concentric[25], concentric[26], concentric[27], ref, accum); - grouped_samples_accum(cos, concentric[28], concentric[29], concentric[30], concentric[31], ref, accum); - grouped_samples_accum(cos, concentric[32], concentric[33], concentric[34], concentric[35], ref, accum); - } + /** + * Making the `grouped_samples_accum` be called within a loop would be + * the most conventional solution, however in some older gpus, transverse the huge + * `const vec2 concentric[]` array with variable indices is extremely slow. + * The solution is to use constant indices to access the array. + */ + if (shadowSampleCount > 4) { + grouped_samples_accum( + cos, concentric[4], concentric[5], concentric[6], concentric[7], ref, accum); + grouped_samples_accum( + cos, concentric[8], concentric[9], concentric[10], concentric[11], ref, accum); + grouped_samples_accum( + cos, concentric[12], concentric[13], concentric[14], concentric[15], ref, accum); + } + if (shadowSampleCount > 16) { + grouped_samples_accum( + cos, concentric[16], concentric[17], concentric[18], concentric[19], ref, accum); + grouped_samples_accum( + cos, concentric[20], concentric[21], concentric[22], concentric[23], ref, accum); + grouped_samples_accum( + cos, concentric[24], concentric[25], concentric[26], concentric[27], ref, accum); + grouped_samples_accum( + cos, concentric[28], concentric[29], concentric[30], concentric[31], ref, accum); + grouped_samples_accum( + cos, concentric[32], concentric[33], concentric[34], concentric[35], ref, accum); + } #ifdef HIGH_BLUR - if (shadowSampleCount > 36) { - grouped_samples_accum(cos, concentric[36], concentric[37], concentric[38], concentric[39], ref, accum); - grouped_samples_accum(cos, concentric[40], concentric[41], concentric[42], concentric[43], ref, accum); - grouped_samples_accum(cos, concentric[44], concentric[45], concentric[46], concentric[47], ref, accum); - grouped_samples_accum(cos, concentric[48], concentric[49], concentric[50], concentric[51], ref, accum); - grouped_samples_accum(cos, concentric[52], concentric[53], concentric[54], concentric[55], ref, accum); - grouped_samples_accum(cos, concentric[56], concentric[57], concentric[58], concentric[59], ref, accum); - grouped_samples_accum(cos, concentric[60], concentric[61], concentric[62], concentric[63], ref, accum); - } - if (shadowSampleCount > 64) { - grouped_samples_accum(cos, concentric[64], concentric[65], concentric[66], concentric[67], ref, accum); - grouped_samples_accum(cos, concentric[68], concentric[69], concentric[70], concentric[71], ref, accum); - grouped_samples_accum(cos, concentric[72], concentric[73], concentric[74], concentric[75], ref, accum); - grouped_samples_accum(cos, concentric[76], concentric[77], concentric[78], concentric[79], ref, accum); - grouped_samples_accum(cos, concentric[80], concentric[81], concentric[82], concentric[83], ref, accum); - grouped_samples_accum(cos, concentric[84], concentric[85], concentric[86], concentric[87], ref, accum); - grouped_samples_accum(cos, concentric[88], concentric[89], concentric[90], concentric[91], ref, accum); - grouped_samples_accum(cos, concentric[92], concentric[93], concentric[94], concentric[95], ref, accum); - grouped_samples_accum(cos, concentric[96], concentric[97], concentric[98], concentric[99], ref, accum); - } - if (shadowSampleCount > 100) { - grouped_samples_accum(cos, concentric[100], concentric[101], concentric[102], concentric[103], ref, accum); - grouped_samples_accum(cos, concentric[104], concentric[105], concentric[106], concentric[107], ref, accum); - grouped_samples_accum(cos, concentric[108], concentric[109], concentric[110], concentric[111], ref, accum); - grouped_samples_accum(cos, concentric[112], concentric[113], concentric[114], concentric[115], ref, accum); - grouped_samples_accum(cos, concentric[116], concentric[117], concentric[118], concentric[119], ref, accum); - grouped_samples_accum(cos, concentric[120], concentric[121], concentric[122], concentric[123], ref, accum); - grouped_samples_accum(cos, concentric[124], concentric[125], concentric[126], concentric[127], ref, accum); - grouped_samples_accum(cos, concentric[128], concentric[129], concentric[130], concentric[131], ref, accum); - grouped_samples_accum(cos, concentric[132], concentric[133], concentric[134], concentric[135], ref, accum); - grouped_samples_accum(cos, concentric[136], concentric[137], concentric[138], concentric[139], ref, accum); - grouped_samples_accum(cos, concentric[140], concentric[141], concentric[142], concentric[143], ref, accum); - } - if (shadowSampleCount > 144) { - grouped_samples_accum(cos, concentric[144], concentric[145], concentric[146], concentric[147], ref, accum); - grouped_samples_accum(cos, concentric[148], concentric[149], concentric[150], concentric[151], ref, accum); - grouped_samples_accum(cos, concentric[152], concentric[153], concentric[154], concentric[155], ref, accum); - grouped_samples_accum(cos, concentric[156], concentric[157], concentric[158], concentric[159], ref, accum); - grouped_samples_accum(cos, concentric[160], concentric[161], concentric[162], concentric[163], ref, accum); - grouped_samples_accum(cos, concentric[164], concentric[165], concentric[166], concentric[167], ref, accum); - grouped_samples_accum(cos, concentric[168], concentric[169], concentric[170], concentric[171], ref, accum); - grouped_samples_accum(cos, concentric[172], concentric[173], concentric[174], concentric[175], ref, accum); - grouped_samples_accum(cos, concentric[176], concentric[177], concentric[178], concentric[179], ref, accum); - grouped_samples_accum(cos, concentric[180], concentric[181], concentric[182], concentric[183], ref, accum); - grouped_samples_accum(cos, concentric[184], concentric[185], concentric[186], concentric[187], ref, accum); - grouped_samples_accum(cos, concentric[188], concentric[189], concentric[190], concentric[191], ref, accum); - grouped_samples_accum(cos, concentric[192], concentric[193], concentric[194], concentric[195], ref, accum); - } - if (shadowSampleCount > 196) { - grouped_samples_accum(cos, concentric[196], concentric[197], concentric[198], concentric[199], ref, accum); - grouped_samples_accum(cos, concentric[200], concentric[201], concentric[202], concentric[203], ref, accum); - grouped_samples_accum(cos, concentric[204], concentric[205], concentric[206], concentric[207], ref, accum); - grouped_samples_accum(cos, concentric[208], concentric[209], concentric[210], concentric[211], ref, accum); - grouped_samples_accum(cos, concentric[212], concentric[213], concentric[114], concentric[215], ref, accum); - grouped_samples_accum(cos, concentric[216], concentric[217], concentric[218], concentric[219], ref, accum); - grouped_samples_accum(cos, concentric[220], concentric[221], concentric[222], concentric[223], ref, accum); - grouped_samples_accum(cos, concentric[224], concentric[225], concentric[226], concentric[227], ref, accum); - grouped_samples_accum(cos, concentric[228], concentric[229], concentric[230], concentric[231], ref, accum); - grouped_samples_accum(cos, concentric[232], concentric[233], concentric[234], concentric[235], ref, accum); - grouped_samples_accum(cos, concentric[236], concentric[237], concentric[238], concentric[239], ref, accum); - grouped_samples_accum(cos, concentric[240], concentric[241], concentric[242], concentric[243], ref, accum); - grouped_samples_accum(cos, concentric[244], concentric[245], concentric[246], concentric[247], ref, accum); - grouped_samples_accum(cos, concentric[248], concentric[249], concentric[250], concentric[251], ref, accum); - grouped_samples_accum(cos, concentric[252], concentric[253], concentric[254], concentric[255], ref, accum); - } + if (shadowSampleCount > 36) { + grouped_samples_accum( + cos, concentric[36], concentric[37], concentric[38], concentric[39], ref, accum); + grouped_samples_accum( + cos, concentric[40], concentric[41], concentric[42], concentric[43], ref, accum); + grouped_samples_accum( + cos, concentric[44], concentric[45], concentric[46], concentric[47], ref, accum); + grouped_samples_accum( + cos, concentric[48], concentric[49], concentric[50], concentric[51], ref, accum); + grouped_samples_accum( + cos, concentric[52], concentric[53], concentric[54], concentric[55], ref, accum); + grouped_samples_accum( + cos, concentric[56], concentric[57], concentric[58], concentric[59], ref, accum); + grouped_samples_accum( + cos, concentric[60], concentric[61], concentric[62], concentric[63], ref, accum); + } + if (shadowSampleCount > 64) { + grouped_samples_accum( + cos, concentric[64], concentric[65], concentric[66], concentric[67], ref, accum); + grouped_samples_accum( + cos, concentric[68], concentric[69], concentric[70], concentric[71], ref, accum); + grouped_samples_accum( + cos, concentric[72], concentric[73], concentric[74], concentric[75], ref, accum); + grouped_samples_accum( + cos, concentric[76], concentric[77], concentric[78], concentric[79], ref, accum); + grouped_samples_accum( + cos, concentric[80], concentric[81], concentric[82], concentric[83], ref, accum); + grouped_samples_accum( + cos, concentric[84], concentric[85], concentric[86], concentric[87], ref, accum); + grouped_samples_accum( + cos, concentric[88], concentric[89], concentric[90], concentric[91], ref, accum); + grouped_samples_accum( + cos, concentric[92], concentric[93], concentric[94], concentric[95], ref, accum); + grouped_samples_accum( + cos, concentric[96], concentric[97], concentric[98], concentric[99], ref, accum); + } + if (shadowSampleCount > 100) { + grouped_samples_accum( + cos, concentric[100], concentric[101], concentric[102], concentric[103], ref, accum); + grouped_samples_accum( + cos, concentric[104], concentric[105], concentric[106], concentric[107], ref, accum); + grouped_samples_accum( + cos, concentric[108], concentric[109], concentric[110], concentric[111], ref, accum); + grouped_samples_accum( + cos, concentric[112], concentric[113], concentric[114], concentric[115], ref, accum); + grouped_samples_accum( + cos, concentric[116], concentric[117], concentric[118], concentric[119], ref, accum); + grouped_samples_accum( + cos, concentric[120], concentric[121], concentric[122], concentric[123], ref, accum); + grouped_samples_accum( + cos, concentric[124], concentric[125], concentric[126], concentric[127], ref, accum); + grouped_samples_accum( + cos, concentric[128], concentric[129], concentric[130], concentric[131], ref, accum); + grouped_samples_accum( + cos, concentric[132], concentric[133], concentric[134], concentric[135], ref, accum); + grouped_samples_accum( + cos, concentric[136], concentric[137], concentric[138], concentric[139], ref, accum); + grouped_samples_accum( + cos, concentric[140], concentric[141], concentric[142], concentric[143], ref, accum); + } + if (shadowSampleCount > 144) { + grouped_samples_accum( + cos, concentric[144], concentric[145], concentric[146], concentric[147], ref, accum); + grouped_samples_accum( + cos, concentric[148], concentric[149], concentric[150], concentric[151], ref, accum); + grouped_samples_accum( + cos, concentric[152], concentric[153], concentric[154], concentric[155], ref, accum); + grouped_samples_accum( + cos, concentric[156], concentric[157], concentric[158], concentric[159], ref, accum); + grouped_samples_accum( + cos, concentric[160], concentric[161], concentric[162], concentric[163], ref, accum); + grouped_samples_accum( + cos, concentric[164], concentric[165], concentric[166], concentric[167], ref, accum); + grouped_samples_accum( + cos, concentric[168], concentric[169], concentric[170], concentric[171], ref, accum); + grouped_samples_accum( + cos, concentric[172], concentric[173], concentric[174], concentric[175], ref, accum); + grouped_samples_accum( + cos, concentric[176], concentric[177], concentric[178], concentric[179], ref, accum); + grouped_samples_accum( + cos, concentric[180], concentric[181], concentric[182], concentric[183], ref, accum); + grouped_samples_accum( + cos, concentric[184], concentric[185], concentric[186], concentric[187], ref, accum); + grouped_samples_accum( + cos, concentric[188], concentric[189], concentric[190], concentric[191], ref, accum); + grouped_samples_accum( + cos, concentric[192], concentric[193], concentric[194], concentric[195], ref, accum); + } + if (shadowSampleCount > 196) { + grouped_samples_accum( + cos, concentric[196], concentric[197], concentric[198], concentric[199], ref, accum); + grouped_samples_accum( + cos, concentric[200], concentric[201], concentric[202], concentric[203], ref, accum); + grouped_samples_accum( + cos, concentric[204], concentric[205], concentric[206], concentric[207], ref, accum); + grouped_samples_accum( + cos, concentric[208], concentric[209], concentric[210], concentric[211], ref, accum); + grouped_samples_accum( + cos, concentric[212], concentric[213], concentric[114], concentric[215], ref, accum); + grouped_samples_accum( + cos, concentric[216], concentric[217], concentric[218], concentric[219], ref, accum); + grouped_samples_accum( + cos, concentric[220], concentric[221], concentric[222], concentric[223], ref, accum); + grouped_samples_accum( + cos, concentric[224], concentric[225], concentric[226], concentric[227], ref, accum); + grouped_samples_accum( + cos, concentric[228], concentric[229], concentric[230], concentric[231], ref, accum); + grouped_samples_accum( + cos, concentric[232], concentric[233], concentric[234], concentric[235], ref, accum); + grouped_samples_accum( + cos, concentric[236], concentric[237], concentric[238], concentric[239], ref, accum); + grouped_samples_accum( + cos, concentric[240], concentric[241], concentric[242], concentric[243], ref, accum); + grouped_samples_accum( + cos, concentric[244], concentric[245], concentric[246], concentric[247], ref, accum); + grouped_samples_accum( + cos, concentric[248], concentric[249], concentric[250], concentric[251], ref, accum); + grouped_samples_accum( + cos, concentric[252], concentric[253], concentric[254], concentric[255], ref, accum); + } #endif #ifdef ESM - accum.x = dot(vec4(1.0), accum); - accum.x = ln_space_prefilter_finalize(ref, accum.x); - FragColor = accum.xxxx; + accum.x = dot(vec4(1.0), accum); + accum.x = ln_space_prefilter_finalize(ref, accum.x); + FragColor = accum.xxxx; #else /* VSM */ - FragColor = accum.xyxy * shadowInvSampleCount; + FragColor = accum.xyxy * shadowInvSampleCount; #endif } diff --git a/source/blender/draw/engines/eevee/shaders/shadow_vert.glsl b/source/blender/draw/engines/eevee/shaders/shadow_vert.glsl index 2583c7c8765..f9225cd100b 100644 --- a/source/blender/draw/engines/eevee/shaders/shadow_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/shadow_vert.glsl @@ -19,15 +19,16 @@ out vec3 worldNormal; out vec3 viewNormal; #endif -void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); +void main() +{ + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); #ifdef MESH_SHADER - viewPosition = (ModelViewMatrix * vec4(pos, 1.0)).xyz; - worldPosition = (ModelMatrix * vec4(pos, 1.0)).xyz; - viewNormal = normalize(NormalMatrix * nor); - worldNormal = normalize(WorldNormalMatrix * nor); -#ifdef USE_ATTR - pass_attr(pos); -#endif + viewPosition = (ModelViewMatrix * vec4(pos, 1.0)).xyz; + worldPosition = (ModelMatrix * vec4(pos, 1.0)).xyz; + viewNormal = normalize(NormalMatrix * nor); + worldNormal = normalize(WorldNormalMatrix * nor); +# ifdef USE_ATTR + pass_attr(pos); +# endif #endif } diff --git a/source/blender/draw/engines/eevee/shaders/ssr_lib.glsl b/source/blender/draw/engines/eevee/shaders/ssr_lib.glsl index 6c7bfeb6b82..0591b247541 100644 --- a/source/blender/draw/engines/eevee/shaders/ssr_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/ssr_lib.glsl @@ -2,71 +2,74 @@ #define BTDF_BIAS 0.85 -vec4 screen_space_refraction(vec3 viewPosition, vec3 N, vec3 V, float ior, float roughnessSquared, vec4 rand) +vec4 screen_space_refraction( + vec3 viewPosition, vec3 N, vec3 V, float ior, float roughnessSquared, vec4 rand) { - float a2 = max(5e-6, roughnessSquared * roughnessSquared); + float a2 = max(5e-6, roughnessSquared * roughnessSquared); - /* Importance sampling bias */ - rand.x = mix(rand.x, 0.0, BTDF_BIAS); + /* Importance sampling bias */ + rand.x = mix(rand.x, 0.0, BTDF_BIAS); - vec3 T, B; - float NH; - make_orthonormal_basis(N, T, B); - vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ - float pdf = pdf_ggx_reflect(NH, a2); + vec3 T, B; + float NH; + make_orthonormal_basis(N, T, B); + vec3 H = sample_ggx(rand.xzw, a2, N, T, B, NH); /* Microfacet normal */ + float pdf = pdf_ggx_reflect(NH, a2); - /* If ray is bad (i.e. going below the plane) regenerate. */ - if (F_eta(ior, dot(H, V)) < 1.0) { - H = sample_ggx(rand.xzw * vec3(1.0, -1.0, -1.0), a2, N, T, B, NH); /* Microfacet normal */ - pdf = pdf_ggx_reflect(NH, a2); - } + /* If ray is bad (i.e. going below the plane) regenerate. */ + if (F_eta(ior, dot(H, V)) < 1.0) { + H = sample_ggx(rand.xzw * vec3(1.0, -1.0, -1.0), a2, N, T, B, NH); /* Microfacet normal */ + pdf = pdf_ggx_reflect(NH, a2); + } - vec3 vV = viewCameraVec; - float eta = 1.0/ior; - if (dot(H, V) < 0.0) { - H = -H; - eta = ior; - } + vec3 vV = viewCameraVec; + float eta = 1.0 / ior; + if (dot(H, V) < 0.0) { + H = -H; + eta = ior; + } - vec3 R = refract(-V, H, 1.0 / ior); + vec3 R = refract(-V, H, 1.0 / ior); - R = transform_direction(ViewMatrix, R); + R = transform_direction(ViewMatrix, R); - vec3 hit_pos = raycast(-1, viewPosition, R * 1e16, ssrThickness, rand.y, ssrQuality, roughnessSquared, false); + vec3 hit_pos = raycast( + -1, viewPosition, R * 1e16, ssrThickness, rand.y, ssrQuality, roughnessSquared, false); - if ((hit_pos.z > 0.0) && (F_eta(ior, dot(H, V)) < 1.0)) { - hit_pos = get_view_space_from_depth(hit_pos.xy, hit_pos.z); - float hit_dist = distance(hit_pos, viewPosition); + if ((hit_pos.z > 0.0) && (F_eta(ior, dot(H, V)) < 1.0)) { + hit_pos = get_view_space_from_depth(hit_pos.xy, hit_pos.z); + float hit_dist = distance(hit_pos, viewPosition); - float cone_cos = cone_cosine(roughnessSquared); - float cone_tan = sqrt(1 - cone_cos * cone_cos) / cone_cos; + float cone_cos = cone_cosine(roughnessSquared); + float cone_tan = sqrt(1 - cone_cos * cone_cos) / cone_cos; - /* Empirical fit for refraction. */ - /* TODO find a better fit or precompute inside the LUT. */ - cone_tan *= 0.5 * fast_sqrt(f0_from_ior((ior < 1.0) ? 1.0 / ior : ior)); + /* Empirical fit for refraction. */ + /* TODO find a better fit or precompute inside the LUT. */ + cone_tan *= 0.5 * fast_sqrt(f0_from_ior((ior < 1.0) ? 1.0 / ior : ior)); - float cone_footprint = hit_dist * cone_tan; + float cone_footprint = hit_dist * cone_tan; - /* find the offset in screen space by multiplying a point - * in camera space at the depth of the point by the projection matrix. */ - float homcoord = ProjectionMatrix[2][3] * hit_pos.z + ProjectionMatrix[3][3]; - /* UV space footprint */ - cone_footprint = BTDF_BIAS * 0.5 * max(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * cone_footprint / homcoord; + /* find the offset in screen space by multiplying a point + * in camera space at the depth of the point by the projection matrix. */ + float homcoord = ProjectionMatrix[2][3] * hit_pos.z + ProjectionMatrix[3][3]; + /* UV space footprint */ + cone_footprint = BTDF_BIAS * 0.5 * max(ProjectionMatrix[0][0], ProjectionMatrix[1][1]) * + cone_footprint / homcoord; - vec2 hit_uvs = project_point(ProjectionMatrix, hit_pos).xy * 0.5 + 0.5; + vec2 hit_uvs = project_point(ProjectionMatrix, hit_pos).xy * 0.5 + 0.5; - /* Texel footprint */ - vec2 texture_size = vec2(textureSize(colorBuffer, 0).xy); - float mip = clamp(log2(cone_footprint * max(texture_size.x, texture_size.y)), 0.0, 9.0); + /* Texel footprint */ + vec2 texture_size = vec2(textureSize(colorBuffer, 0).xy); + float mip = clamp(log2(cone_footprint * max(texture_size.x, texture_size.y)), 0.0, 9.0); - /* Correct UVs for mipmaping mis-alignment */ - hit_uvs *= mip_ratio_interp(mip); + /* Correct UVs for mipmaping mis-alignment */ + hit_uvs *= mip_ratio_interp(mip); - vec3 spec = textureLod(colorBuffer, hit_uvs, mip).xyz; - float mask = screen_border_mask(hit_uvs); + vec3 spec = textureLod(colorBuffer, hit_uvs, mip).xyz; + float mask = screen_border_mask(hit_uvs); - return vec4(spec, mask); - } + return vec4(spec, mask); + } - return vec4(0.0); + return vec4(0.0); } diff --git a/source/blender/draw/engines/eevee/shaders/update_noise_frag.glsl b/source/blender/draw/engines/eevee/shaders/update_noise_frag.glsl index 2907f25782f..02ad2170f06 100644 --- a/source/blender/draw/engines/eevee/shaders/update_noise_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/update_noise_frag.glsl @@ -8,11 +8,11 @@ out vec4 FragColor; void main(void) { - vec3 blue_noise = texelFetch(blueNoise, ivec2(gl_FragCoord.xy), 0).xyz; + vec3 blue_noise = texelFetch(blueNoise, ivec2(gl_FragCoord.xy), 0).xyz; - float noise = fract(blue_noise.y + offsets.z); - FragColor.x = fract(blue_noise.x + offsets.x); - FragColor.y = fract(blue_noise.z + offsets.y); - FragColor.z = cos(noise * M_2PI); - FragColor.w = sin(noise * M_2PI); + float noise = fract(blue_noise.y + offsets.z); + FragColor.x = fract(blue_noise.x + offsets.x); + FragColor.y = fract(blue_noise.z + offsets.y); + FragColor.z = cos(noise * M_2PI); + FragColor.w = sin(noise * M_2PI); } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_frag.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_frag.glsl index 3a293647f84..0164a04c64b 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_frag.glsl @@ -29,35 +29,36 @@ layout(location = 3) out vec4 volumePhase; void main() { - ivec3 volume_cell = ivec3(gl_FragCoord.xy, slice); - vec3 ndc_cell = volume_to_ndc((vec3(volume_cell) + volJitter.xyz) * volInvTexSize.xyz); + ivec3 volume_cell = ivec3(gl_FragCoord.xy, slice); + vec3 ndc_cell = volume_to_ndc((vec3(volume_cell) + volJitter.xyz) * volInvTexSize.xyz); - viewPosition = get_view_space_from_depth(ndc_cell.xy, ndc_cell.z); - worldPosition = transform_point(ViewMatrixInverse, viewPosition); + viewPosition = get_view_space_from_depth(ndc_cell.xy, ndc_cell.z); + worldPosition = transform_point(ViewMatrixInverse, viewPosition); #ifdef MESH_SHADER - volumeObjectLocalCoord = transform_point(volumeObjectMatrix, worldPosition); - volumeObjectLocalCoord = (volumeObjectLocalCoord - volumeOrcoLoc + volumeOrcoSize) / (volumeOrcoSize * 2.0); + volumeObjectLocalCoord = transform_point(volumeObjectMatrix, worldPosition); + volumeObjectLocalCoord = (volumeObjectLocalCoord - volumeOrcoLoc + volumeOrcoSize) / + (volumeOrcoSize * 2.0); - if (any(lessThan(volumeObjectLocalCoord, vec3(0.0))) || - any(greaterThan(volumeObjectLocalCoord, vec3(1.0)))) - discard; + if (any(lessThan(volumeObjectLocalCoord, vec3(0.0))) || + any(greaterThan(volumeObjectLocalCoord, vec3(1.0)))) + discard; #endif #ifdef CLEAR - Closure cl = CLOSURE_DEFAULT; + Closure cl = CLOSURE_DEFAULT; #else - Closure cl = nodetree_exec(); + Closure cl = nodetree_exec(); #endif - volumeScattering = vec4(cl.scatter, 1.0); - volumeExtinction = vec4(max(vec3(1e-4), cl.absorption + cl.scatter), 1.0); - volumeEmissive = vec4(cl.emission, 1.0); - - /* Do not add phase weight if no scattering. */ - if (all(equal(cl.scatter, vec3(0.0)))) { - volumePhase = vec4(0.0); - } - else { - volumePhase = vec4(cl.anisotropy, vec3(1.0)); - } + volumeScattering = vec4(cl.scatter, 1.0); + volumeExtinction = vec4(max(vec3(1e-4), cl.absorption + cl.scatter), 1.0); + volumeEmissive = vec4(cl.emission, 1.0); + + /* Do not add phase weight if no scattering. */ + if (all(equal(cl.scatter, vec3(0.0)))) { + volumePhase = vec4(0.0); + } + else { + volumePhase = vec4(cl.anisotropy, vec3(1.0)); + } } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_geom.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_geom.glsl index 72545302fd3..96b891c929f 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_geom.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_geom.glsl @@ -2,10 +2,10 @@ #ifdef MESH_SHADER /* TODO tight slices */ layout(triangles) in; -layout(triangle_strip, max_vertices=3) out; +layout(triangle_strip, max_vertices = 3) out; #else /* World */ layout(triangles) in; -layout(triangle_strip, max_vertices=3) out; +layout(triangle_strip, max_vertices = 3) out; #endif in vec4 vPos[]; @@ -14,28 +14,29 @@ flat out int slice; #ifdef MESH_SHADER /* TODO tight slices */ -void main() { - gl_Layer = slice = int(vPos[0].z); - -#ifdef USE_ATTR - pass_attr(0); -#endif - gl_Position = vPos[0].xyww; - EmitVertex(); - -#ifdef USE_ATTR - pass_attr(1); -#endif - gl_Position = vPos[1].xyww; - EmitVertex(); - -#ifdef USE_ATTR - pass_attr(2); -#endif - gl_Position = vPos[2].xyww; - EmitVertex(); - - EndPrimitive(); +void main() +{ + gl_Layer = slice = int(vPos[0].z); + +# ifdef USE_ATTR + pass_attr(0); +# endif + gl_Position = vPos[0].xyww; + EmitVertex(); + +# ifdef USE_ATTR + pass_attr(1); +# endif + gl_Position = vPos[1].xyww; + EmitVertex(); + +# ifdef USE_ATTR + pass_attr(2); +# endif + gl_Position = vPos[2].xyww; + EmitVertex(); + + EndPrimitive(); } #else /* World */ @@ -43,28 +44,29 @@ void main() { /* This is just a pass-through geometry shader that send the geometry * to the layer corresponding to it's depth. */ -void main() { - gl_Layer = slice = int(vPos[0].z); - -#ifdef USE_ATTR - pass_attr(0); -#endif - gl_Position = vPos[0].xyww; - EmitVertex(); - -#ifdef USE_ATTR - pass_attr(1); -#endif - gl_Position = vPos[1].xyww; - EmitVertex(); - -#ifdef USE_ATTR - pass_attr(2); -#endif - gl_Position = vPos[2].xyww; - EmitVertex(); - - EndPrimitive(); +void main() +{ + gl_Layer = slice = int(vPos[0].z); + +# ifdef USE_ATTR + pass_attr(0); +# endif + gl_Position = vPos[0].xyww; + EmitVertex(); + +# ifdef USE_ATTR + pass_attr(1); +# endif + gl_Position = vPos[1].xyww; + EmitVertex(); + +# ifdef USE_ATTR + pass_attr(2); +# endif + gl_Position = vPos[2].xyww; + EmitVertex(); + + EndPrimitive(); } #endif diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_integration_frag.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_integration_frag.glsl index 827d774b290..83ed9067087 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_integration_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_integration_frag.glsl @@ -15,49 +15,49 @@ layout(location = 1) out vec4 finalTransmittance; void main() { - /* Start with full transmittance and no scattered light. */ - finalScattering = vec4(0.0); - finalTransmittance = vec4(1.0); - - vec3 tex_size = vec3(textureSize(volumeScattering, 0).xyz); - - /* Compute view ray. */ - vec2 uvs = gl_FragCoord.xy / tex_size.xy; - vec3 ndc_cell = volume_to_ndc(vec3(uvs, 1e-5)); - vec3 view_cell = get_view_space_from_depth(ndc_cell.xy, ndc_cell.z); - - /* Ortho */ - float prev_ray_len = view_cell.z; - float orig_ray_len = 1.0; - - /* Persp */ - if (ProjectionMatrix[3][3] == 0.0) { - prev_ray_len = length(view_cell); - orig_ray_len = prev_ray_len / view_cell.z; - } - - /* Without compute shader and arbitrary write we need to - * accumulate from the beginning of the ray for each cell. */ - float integration_end = float(slice); - for (int i = 0; i < slice; ++i) { - ivec3 volume_cell = ivec3(gl_FragCoord.xy, i); - - vec4 Lscat = texelFetch(volumeScattering, volume_cell, 0); - vec4 s_extinction = texelFetch(volumeExtinction, volume_cell, 0); - - float cell_depth = volume_z_to_view_z((float(i) + 1.0) / tex_size.z); - float ray_len = orig_ray_len * cell_depth; - - /* Evaluate Scattering */ - float s_len = abs(ray_len - prev_ray_len); - prev_ray_len = ray_len; - vec4 Tr = exp(-s_extinction * s_len); - - /* integrate along the current step segment */ - Lscat = (Lscat - Lscat * Tr) / s_extinction; - /* accumulate and also take into account the transmittance from previous steps */ - finalScattering += finalTransmittance * Lscat; - - finalTransmittance *= Tr; - } + /* Start with full transmittance and no scattered light. */ + finalScattering = vec4(0.0); + finalTransmittance = vec4(1.0); + + vec3 tex_size = vec3(textureSize(volumeScattering, 0).xyz); + + /* Compute view ray. */ + vec2 uvs = gl_FragCoord.xy / tex_size.xy; + vec3 ndc_cell = volume_to_ndc(vec3(uvs, 1e-5)); + vec3 view_cell = get_view_space_from_depth(ndc_cell.xy, ndc_cell.z); + + /* Ortho */ + float prev_ray_len = view_cell.z; + float orig_ray_len = 1.0; + + /* Persp */ + if (ProjectionMatrix[3][3] == 0.0) { + prev_ray_len = length(view_cell); + orig_ray_len = prev_ray_len / view_cell.z; + } + + /* Without compute shader and arbitrary write we need to + * accumulate from the beginning of the ray for each cell. */ + float integration_end = float(slice); + for (int i = 0; i < slice; ++i) { + ivec3 volume_cell = ivec3(gl_FragCoord.xy, i); + + vec4 Lscat = texelFetch(volumeScattering, volume_cell, 0); + vec4 s_extinction = texelFetch(volumeExtinction, volume_cell, 0); + + float cell_depth = volume_z_to_view_z((float(i) + 1.0) / tex_size.z); + float ray_len = orig_ray_len * cell_depth; + + /* Evaluate Scattering */ + float s_len = abs(ray_len - prev_ray_len); + prev_ray_len = ray_len; + vec4 Tr = exp(-s_extinction * s_len); + + /* integrate along the current step segment */ + Lscat = (Lscat - Lscat * Tr) / s_extinction; + /* accumulate and also take into account the transmittance from previous steps */ + finalScattering += finalTransmittance * Lscat; + + finalTransmittance *= Tr; + } } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_lib.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_lib.glsl index c5c9ad543db..580b53231a0 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_lib.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_lib.glsl @@ -5,139 +5,140 @@ /* Volume slice to view space depth. */ float volume_z_to_view_z(float z) { - if (ProjectionMatrix[3][3] == 0.0) { - /* Exponential distribution */ - return (exp2(z / volDepthParameters.z) - volDepthParameters.x) / volDepthParameters.y; - } - else { - /* Linear distribution */ - return mix(volDepthParameters.x, volDepthParameters.y, z); - } + if (ProjectionMatrix[3][3] == 0.0) { + /* Exponential distribution */ + return (exp2(z / volDepthParameters.z) - volDepthParameters.x) / volDepthParameters.y; + } + else { + /* Linear distribution */ + return mix(volDepthParameters.x, volDepthParameters.y, z); + } } float view_z_to_volume_z(float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - /* Exponential distribution */ - return volDepthParameters.z * log2(depth * volDepthParameters.y + volDepthParameters.x); - } - else { - /* Linear distribution */ - return (depth - volDepthParameters.x) * volDepthParameters.z; - } + if (ProjectionMatrix[3][3] == 0.0) { + /* Exponential distribution */ + return volDepthParameters.z * log2(depth * volDepthParameters.y + volDepthParameters.x); + } + else { + /* Linear distribution */ + return (depth - volDepthParameters.x) * volDepthParameters.z; + } } /* Volume texture normalized coordinates to NDC (special range [0, 1]). */ vec3 volume_to_ndc(vec3 cos) { - cos.z = volume_z_to_view_z(cos.z); - cos.z = get_depth_from_view_z(cos.z); - cos.xy /= volCoordScale.xy; - return cos; + cos.z = volume_z_to_view_z(cos.z); + cos.z = get_depth_from_view_z(cos.z); + cos.xy /= volCoordScale.xy; + return cos; } vec3 ndc_to_volume(vec3 cos) { - cos.z = get_view_z_from_depth(cos.z); - cos.z = view_z_to_volume_z(cos.z); - cos.xy *= volCoordScale.xy; - return cos; + cos.z = get_view_z_from_depth(cos.z); + cos.z = view_z_to_volume_z(cos.z); + cos.xy *= volCoordScale.xy; + return cos; } float phase_function_isotropic() { - return 1.0 / (4.0 * M_PI); + return 1.0 / (4.0 * M_PI); } float phase_function(vec3 v, vec3 l, float g) { - /* Henyey-Greenstein */ - float cos_theta = dot(v, l); - g = clamp(g, -1.0 + 1e-3, 1.0 - 1e-3); - float sqr_g = g * g; - return (1- sqr_g) / max(1e-8, 4.0 * M_PI * pow(1 + sqr_g - 2 * g * cos_theta, 3.0 / 2.0)); + /* Henyey-Greenstein */ + float cos_theta = dot(v, l); + g = clamp(g, -1.0 + 1e-3, 1.0 - 1e-3); + float sqr_g = g * g; + return (1 - sqr_g) / max(1e-8, 4.0 * M_PI * pow(1 + sqr_g - 2 * g * cos_theta, 3.0 / 2.0)); } #ifdef LAMPS_LIB vec3 light_volume(LightData ld, vec4 l_vector) { - float power; - /* TODO : Area lighting ? */ - /* XXX : Removing Area Power. */ - /* TODO : put this out of the shader. */ - /* See eevee_light_setup(). */ - if (ld.l_type == AREA_RECT || ld.l_type == AREA_ELLIPSE) { - power = (ld.l_sizex * ld.l_sizey * 4.0 * M_PI) * (1.0 / 80.0); - if (ld.l_type == AREA_ELLIPSE) { - power *= M_PI * 0.25; - } - power *= 20.0 * max(0.0, dot(-ld.l_forward, l_vector.xyz / l_vector.w)); /* XXX ad hoc, empirical */ - } - else if (ld.l_type == SUN) { - power = ld.l_radius * ld.l_radius * M_PI; /* Removing area light power*/ - power /= 1.0f + (ld.l_radius * ld.l_radius * 0.5f); - power *= M_PI * 0.5; /* Matching cycles. */ - } - else { - power = (4.0 * ld.l_radius * ld.l_radius) * (1.0 /10.0); - power *= M_2PI; /* Matching cycles with point light. */ - } - - power /= (l_vector.w * l_vector.w); - - /* OPTI: find a better way than calculating this on the fly */ - float lum = dot(ld.l_color, vec3(0.3, 0.6, 0.1)); /* luminance approx. */ - vec3 tint = (lum > 0.0) ? ld.l_color / lum : vec3(1.0); /* normalize lum. to isolate hue+sat */ - - lum = min(lum * power, volLightClamp); - - return tint * lum; + float power; + /* TODO : Area lighting ? */ + /* XXX : Removing Area Power. */ + /* TODO : put this out of the shader. */ + /* See eevee_light_setup(). */ + if (ld.l_type == AREA_RECT || ld.l_type == AREA_ELLIPSE) { + power = (ld.l_sizex * ld.l_sizey * 4.0 * M_PI) * (1.0 / 80.0); + if (ld.l_type == AREA_ELLIPSE) { + power *= M_PI * 0.25; + } + power *= 20.0 * + max(0.0, dot(-ld.l_forward, l_vector.xyz / l_vector.w)); /* XXX ad hoc, empirical */ + } + else if (ld.l_type == SUN) { + power = ld.l_radius * ld.l_radius * M_PI; /* Removing area light power*/ + power /= 1.0f + (ld.l_radius * ld.l_radius * 0.5f); + power *= M_PI * 0.5; /* Matching cycles. */ + } + else { + power = (4.0 * ld.l_radius * ld.l_radius) * (1.0 / 10.0); + power *= M_2PI; /* Matching cycles with point light. */ + } + + power /= (l_vector.w * l_vector.w); + + /* OPTI: find a better way than calculating this on the fly */ + float lum = dot(ld.l_color, vec3(0.3, 0.6, 0.1)); /* luminance approx. */ + vec3 tint = (lum > 0.0) ? ld.l_color / lum : vec3(1.0); /* normalize lum. to isolate hue+sat */ + + lum = min(lum * power, volLightClamp); + + return tint * lum; } -#define VOLUMETRIC_SHADOW_MAX_STEP 32.0 +# define VOLUMETRIC_SHADOW_MAX_STEP 32.0 vec3 participating_media_extinction(vec3 wpos, sampler3D volume_extinction) { - /* Waiting for proper volume shadowmaps and out of frustum shadow map. */ - vec3 ndc = project_point(ViewProjectionMatrix, wpos); - vec3 volume_co = ndc_to_volume(ndc * 0.5 + 0.5); + /* Waiting for proper volume shadowmaps and out of frustum shadow map. */ + vec3 ndc = project_point(ViewProjectionMatrix, wpos); + vec3 volume_co = ndc_to_volume(ndc * 0.5 + 0.5); - /* Let the texture be clamped to edge. This reduce visual glitches. */ - return texture(volume_extinction, volume_co).rgb; + /* Let the texture be clamped to edge. This reduce visual glitches. */ + return texture(volume_extinction, volume_co).rgb; } vec3 light_volume_shadow(LightData ld, vec3 ray_wpos, vec4 l_vector, sampler3D volume_extinction) { -#if defined(VOLUME_SHADOW) - /* Heterogeneous volume shadows */ - float dd = l_vector.w / volShadowSteps; - vec3 L = l_vector.xyz * l_vector.w; - vec3 shadow = vec3(1.0); - for (float s = 0.5; s < VOLUMETRIC_SHADOW_MAX_STEP && s < (volShadowSteps - 0.1); s += 1.0) { - vec3 pos = ray_wpos + L * (s / volShadowSteps); - vec3 s_extinction = participating_media_extinction(pos, volume_extinction); - shadow *= exp(-s_extinction * dd); - } - return shadow; -#else - return vec3(1.0); -#endif /* VOLUME_SHADOW */ +# if defined(VOLUME_SHADOW) + /* Heterogeneous volume shadows */ + float dd = l_vector.w / volShadowSteps; + vec3 L = l_vector.xyz * l_vector.w; + vec3 shadow = vec3(1.0); + for (float s = 0.5; s < VOLUMETRIC_SHADOW_MAX_STEP && s < (volShadowSteps - 0.1); s += 1.0) { + vec3 pos = ray_wpos + L * (s / volShadowSteps); + vec3 s_extinction = participating_media_extinction(pos, volume_extinction); + shadow *= exp(-s_extinction * dd); + } + return shadow; +# else + return vec3(1.0); +# endif /* VOLUME_SHADOW */ } #endif #ifdef IRRADIANCE_LIB vec3 irradiance_volumetric(vec3 wpos) { -#ifdef IRRADIANCE_HL2 - IrradianceData ir_data = load_irradiance_cell(0, vec3(1.0)); - vec3 irradiance = ir_data.cubesides[0] + ir_data.cubesides[1] + ir_data.cubesides[2]; - ir_data = load_irradiance_cell(0, vec3(-1.0)); - irradiance += ir_data.cubesides[0] + ir_data.cubesides[1] + ir_data.cubesides[2]; - irradiance *= 0.16666666; /* 1/6 */ - return irradiance; -#else - return vec3(0.0); -#endif +# ifdef IRRADIANCE_HL2 + IrradianceData ir_data = load_irradiance_cell(0, vec3(1.0)); + vec3 irradiance = ir_data.cubesides[0] + ir_data.cubesides[1] + ir_data.cubesides[2]; + ir_data = load_irradiance_cell(0, vec3(-1.0)); + irradiance += ir_data.cubesides[0] + ir_data.cubesides[1] + ir_data.cubesides[2]; + irradiance *= 0.16666666; /* 1/6 */ + return irradiance; +# else + return vec3(0.0); +# endif } #endif @@ -146,13 +147,13 @@ uniform sampler3D inTransmittance; vec4 volumetric_resolve(vec4 scene_color, vec2 frag_uvs, float frag_depth) { - vec3 volume_cos = ndc_to_volume(vec3(frag_uvs, frag_depth)); + vec3 volume_cos = ndc_to_volume(vec3(frag_uvs, frag_depth)); - vec3 scattering = texture(inScattering, volume_cos).rgb; - vec3 transmittance = texture(inTransmittance, volume_cos).rgb; + vec3 scattering = texture(inScattering, volume_cos).rgb; + vec3 transmittance = texture(inTransmittance, volume_cos).rgb; - /* Approximate volume alpha by using a monochromatic transmitance - * and adding it to the scene alpha. */ - float final_alpha = mix(1.0, scene_color.a, dot(transmittance, vec3(1.0 / 3.0))); - return vec4(scene_color.rgb * transmittance + scattering, final_alpha); + /* Approximate volume alpha by using a monochromatic transmitance + * and adding it to the scene alpha. */ + float final_alpha = mix(1.0, scene_color.a, dot(transmittance, vec3(1.0 / 3.0))); + return vec4(scene_color.rgb * transmittance + scattering, final_alpha); } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_resolve_frag.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_resolve_frag.glsl index 0115b2cb99e..2a0fdf69760 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_resolve_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_resolve_frag.glsl @@ -13,9 +13,9 @@ out vec4 FragColor; void main() { - vec2 uvs = gl_FragCoord.xy / vec2(textureSize(inSceneDepth, 0)); - vec4 scene_color = texture(inSceneColor, uvs); - float scene_depth = texture(inSceneDepth, uvs).r; + vec2 uvs = gl_FragCoord.xy / vec2(textureSize(inSceneDepth, 0)); + vec4 scene_color = texture(inSceneColor, uvs); + float scene_depth = texture(inSceneDepth, uvs).r; - FragColor = volumetric_resolve(scene_color, uvs, scene_depth); + FragColor = volumetric_resolve(scene_color, uvs, scene_depth); } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_scatter_frag.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_scatter_frag.glsl index fcbb6661b14..d345cd5c808 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_scatter_frag.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_scatter_frag.glsl @@ -20,56 +20,60 @@ layout(location = 1) out vec4 outTransmittance; void main() { - ivec3 volume_cell = ivec3(gl_FragCoord.xy, slice); + ivec3 volume_cell = ivec3(gl_FragCoord.xy, slice); - /* Emission */ - outScattering = texelFetch(volumeEmission, volume_cell, 0); - outTransmittance = texelFetch(volumeExtinction, volume_cell, 0); - vec3 s_scattering = texelFetch(volumeScattering, volume_cell, 0).rgb; - vec3 volume_ndc = volume_to_ndc((vec3(volume_cell) + volJitter.xyz) * volInvTexSize.xyz); - vec3 worldPosition = get_world_space_from_depth(volume_ndc.xy, volume_ndc.z); - vec3 wdir = cameraVec; + /* Emission */ + outScattering = texelFetch(volumeEmission, volume_cell, 0); + outTransmittance = texelFetch(volumeExtinction, volume_cell, 0); + vec3 s_scattering = texelFetch(volumeScattering, volume_cell, 0).rgb; + vec3 volume_ndc = volume_to_ndc((vec3(volume_cell) + volJitter.xyz) * volInvTexSize.xyz); + vec3 worldPosition = get_world_space_from_depth(volume_ndc.xy, volume_ndc.z); + vec3 wdir = cameraVec; - vec2 phase = texelFetch(volumePhase, volume_cell, 0).rg; - float s_anisotropy = phase.x / max(1.0, phase.y); + vec2 phase = texelFetch(volumePhase, volume_cell, 0).rg; + float s_anisotropy = phase.x / max(1.0, phase.y); - /* Environment : Average color. */ - outScattering.rgb += irradiance_volumetric(worldPosition) * s_scattering * phase_function_isotropic(); + /* Environment : Average color. */ + outScattering.rgb += irradiance_volumetric(worldPosition) * s_scattering * + phase_function_isotropic(); #ifdef VOLUME_LIGHTING /* Lights */ - for (int i = 0; i < MAX_LIGHT && i < laNumLight; ++i) { + for (int i = 0; i < MAX_LIGHT && i < laNumLight; ++i) { - LightData ld = lights_data[i]; + LightData ld = lights_data[i]; - vec4 l_vector; - l_vector.xyz = (ld.l_type == SUN) ? -ld.l_forward : ld.l_position - worldPosition; - l_vector.w = length(l_vector.xyz); + vec4 l_vector; + l_vector.xyz = (ld.l_type == SUN) ? -ld.l_forward : ld.l_position - worldPosition; + l_vector.w = length(l_vector.xyz); - float Vis = light_visibility(ld, worldPosition, l_vector); + float Vis = light_visibility(ld, worldPosition, l_vector); - vec3 Li = light_volume(ld, l_vector) * light_volume_shadow(ld, worldPosition, l_vector, volumeExtinction); + vec3 Li = light_volume(ld, l_vector) * + light_volume_shadow(ld, worldPosition, l_vector, volumeExtinction); - outScattering.rgb += Li * Vis * s_scattering * phase_function(-wdir, l_vector.xyz / l_vector.w, s_anisotropy); - } + outScattering.rgb += Li * Vis * s_scattering * + phase_function(-wdir, l_vector.xyz / l_vector.w, s_anisotropy); + } #endif - /* Temporal supersampling */ - /* Note : this uses the cell non-jittered position (texel center). */ - vec3 curr_ndc = volume_to_ndc(vec3(gl_FragCoord.xy, float(slice) + 0.5) * volInvTexSize.xyz); - vec3 wpos = get_world_space_from_depth(curr_ndc.xy, curr_ndc.z); - vec3 prev_ndc = project_point(pastViewProjectionMatrix, wpos); - vec3 prev_volume = ndc_to_volume(prev_ndc * 0.5 + 0.5); - - if ((volHistoryAlpha > 0.0) && all(greaterThan(prev_volume, vec3(0.0))) && all(lessThan(prev_volume, vec3(1.0)))) { - vec4 h_Scattering = texture(historyScattering, prev_volume); - vec4 h_Transmittance = texture(historyTransmittance, prev_volume); - outScattering = mix(outScattering, h_Scattering, volHistoryAlpha); - outTransmittance = mix(outTransmittance, h_Transmittance, volHistoryAlpha); - } - - /* Catch NaNs */ - if (any(isnan(outScattering)) || any(isnan(outTransmittance))) { - outScattering = vec4(0.0); - outTransmittance = vec4(1.0); - } + /* Temporal supersampling */ + /* Note : this uses the cell non-jittered position (texel center). */ + vec3 curr_ndc = volume_to_ndc(vec3(gl_FragCoord.xy, float(slice) + 0.5) * volInvTexSize.xyz); + vec3 wpos = get_world_space_from_depth(curr_ndc.xy, curr_ndc.z); + vec3 prev_ndc = project_point(pastViewProjectionMatrix, wpos); + vec3 prev_volume = ndc_to_volume(prev_ndc * 0.5 + 0.5); + + if ((volHistoryAlpha > 0.0) && all(greaterThan(prev_volume, vec3(0.0))) && + all(lessThan(prev_volume, vec3(1.0)))) { + vec4 h_Scattering = texture(historyScattering, prev_volume); + vec4 h_Transmittance = texture(historyTransmittance, prev_volume); + outScattering = mix(outScattering, h_Scattering, volHistoryAlpha); + outTransmittance = mix(outTransmittance, h_Transmittance, volHistoryAlpha); + } + + /* Catch NaNs */ + if (any(isnan(outScattering)) || any(isnan(outTransmittance))) { + outScattering = vec4(0.0); + outTransmittance = vec4(1.0); + } } diff --git a/source/blender/draw/engines/eevee/shaders/volumetric_vert.glsl b/source/blender/draw/engines/eevee/shaders/volumetric_vert.glsl index 17174e6d4ff..b96360febb0 100644 --- a/source/blender/draw/engines/eevee/shaders/volumetric_vert.glsl +++ b/source/blender/draw/engines/eevee/shaders/volumetric_vert.glsl @@ -3,29 +3,29 @@ out vec4 vPos; void main() { - /* Generate Triangle : less memory fetches from a VBO */ - int v_id = gl_VertexID % 3; /* Vertex Id */ - int t_id = gl_VertexID / 3; /* Triangle Id */ + /* Generate Triangle : less memory fetches from a VBO */ + int v_id = gl_VertexID % 3; /* Vertex Id */ + int t_id = gl_VertexID / 3; /* Triangle Id */ - /* Crappy diagram - * ex 1 - * | \ - * | \ - * 1 | \ - * | \ - * | \ - * 0 | \ - * | \ - * | \ - * -1 0 --------------- 2 - * -1 0 1 ex - */ - vPos.x = float(v_id / 2) * 4.0 - 1.0; /* int divisor round down */ - vPos.y = float(v_id % 2) * 4.0 - 1.0; - vPos.z = float(t_id); - vPos.w = 1.0; + /* Crappy diagram + * ex 1 + * | \ + * | \ + * 1 | \ + * | \ + * | \ + * 0 | \ + * | \ + * | \ + * -1 0 --------------- 2 + * -1 0 1 ex + */ + vPos.x = float(v_id / 2) * 4.0 - 1.0; /* int divisor round down */ + vPos.y = float(v_id % 2) * 4.0 - 1.0; + vPos.z = float(t_id); + vPos.w = 1.0; #ifdef USE_ATTR - pass_attr(vec3(0.0)); + pass_attr(vec3(0.0)); #endif } diff --git a/source/blender/draw/engines/external/external_engine.c b/source/blender/draw/engines/external/external_engine.c index c1da7c4585c..29749ce6712 100644 --- a/source/blender/draw/engines/external/external_engine.c +++ b/source/blender/draw/engines/external/external_engine.c @@ -34,7 +34,7 @@ #include "GPU_shader.h" #include "GPU_viewport.h" -#include "external_engine.h" /* own include */ +#include "external_engine.h" /* own include */ /* Shaders */ @@ -45,87 +45,88 @@ /* GPUViewport.storage * Is freed everytime the viewport engine changes */ typedef struct EXTERNAL_Storage { - int dummy; + int dummy; } EXTERNAL_Storage; typedef struct EXTERNAL_StorageList { - struct EXTERNAL_Storage *storage; - struct EXTERNAL_PrivateData *g_data; + struct EXTERNAL_Storage *storage; + struct EXTERNAL_PrivateData *g_data; } EXTERNAL_StorageList; typedef struct EXTERNAL_FramebufferList { - struct GPUFrameBuffer *default_fb; + struct GPUFrameBuffer *default_fb; } EXTERNAL_FramebufferList; typedef struct EXTERNAL_TextureList { - /* default */ - struct GPUTexture *depth; + /* default */ + struct GPUTexture *depth; } EXTERNAL_TextureList; typedef struct EXTERNAL_PassList { - struct DRWPass *depth_pass; + struct DRWPass *depth_pass; } EXTERNAL_PassList; typedef struct EXTERNAL_Data { - void *engine_type; - EXTERNAL_FramebufferList *fbl; - EXTERNAL_TextureList *txl; - EXTERNAL_PassList *psl; - EXTERNAL_StorageList *stl; - char info[GPU_INFO_SIZE]; + void *engine_type; + EXTERNAL_FramebufferList *fbl; + EXTERNAL_TextureList *txl; + EXTERNAL_PassList *psl; + EXTERNAL_StorageList *stl; + char info[GPU_INFO_SIZE]; } EXTERNAL_Data; /* *********** STATIC *********** */ static struct { - /* Depth Pre Pass */ - struct GPUShader *depth_sh; + /* Depth Pre Pass */ + struct GPUShader *depth_sh; } e_data = {NULL}; /* Engine data */ typedef struct EXTERNAL_PrivateData { - DRWShadingGroup *depth_shgrp; + DRWShadingGroup *depth_shgrp; } EXTERNAL_PrivateData; /* Transient data */ /* Functions */ static void external_engine_init(void *UNUSED(vedata)) { - /* Depth prepass */ - if (!e_data.depth_sh) { - e_data.depth_sh = DRW_shader_create_3d_depth_only(GPU_SHADER_CFG_DEFAULT); - } + /* Depth prepass */ + if (!e_data.depth_sh) { + e_data.depth_sh = DRW_shader_create_3d_depth_only(GPU_SHADER_CFG_DEFAULT); + } } static void external_cache_init(void *vedata) { - EXTERNAL_PassList *psl = ((EXTERNAL_Data *)vedata)->psl; - EXTERNAL_StorageList *stl = ((EXTERNAL_Data *)vedata)->stl; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - /* Depth Pass */ - { - psl->depth_pass = DRW_pass_create("Depth Pass", DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL); - stl->g_data->depth_shgrp = DRW_shgroup_create(e_data.depth_sh, psl->depth_pass); - } + EXTERNAL_PassList *psl = ((EXTERNAL_Data *)vedata)->psl; + EXTERNAL_StorageList *stl = ((EXTERNAL_Data *)vedata)->stl; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + /* Depth Pass */ + { + psl->depth_pass = DRW_pass_create("Depth Pass", + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL); + stl->g_data->depth_shgrp = DRW_shgroup_create(e_data.depth_sh, psl->depth_pass); + } } static void external_cache_populate(void *vedata, Object *ob) { - EXTERNAL_StorageList *stl = ((EXTERNAL_Data *)vedata)->stl; + EXTERNAL_StorageList *stl = ((EXTERNAL_Data *)vedata)->stl; - if (!DRW_object_is_renderable(ob)) { - return; - } + if (!DRW_object_is_renderable(ob)) { + return; + } - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - /* Depth Prepass */ - DRW_shgroup_call_add(stl->g_data->depth_shgrp, geom, ob->obmat); - } + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + /* Depth Prepass */ + DRW_shgroup_call_add(stl->g_data->depth_shgrp, geom, ob->obmat); + } } static void external_cache_finish(void *UNUSED(vedata)) @@ -134,94 +135,104 @@ static void external_cache_finish(void *UNUSED(vedata)) static void external_draw_scene_do(void *vedata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - RegionView3D *rv3d = draw_ctx->rv3d; - ARegion *ar = draw_ctx->ar; - RenderEngineType *type; - - DRW_state_reset_ex(DRW_STATE_DEFAULT & ~DRW_STATE_DEPTH_LESS_EQUAL); - - /* Create render engine. */ - if (!rv3d->render_engine) { - RenderEngineType *engine_type = draw_ctx->engine_type; - - if (!(engine_type->view_update && engine_type->view_draw)) { - return; - } - - RenderEngine *engine = RE_engine_create_ex(engine_type, true); - engine->tile_x = scene->r.tilex; - engine->tile_y = scene->r.tiley; - engine_type->view_update(engine, draw_ctx->evil_C); - rv3d->render_engine = engine; - } - - /* Rendered draw. */ - GPU_matrix_push_projection(); - ED_region_pixelspace(ar); - - /* Render result draw. */ - type = rv3d->render_engine->type; - type->view_draw(rv3d->render_engine, draw_ctx->evil_C); - - GPU_matrix_pop_projection(); - - /* Set render info. */ - EXTERNAL_Data *data = vedata; - if (rv3d->render_engine->text[0] != '\0') { - BLI_strncpy(data->info, rv3d->render_engine->text, sizeof(data->info)); - } - else { - data->info[0] = '\0'; - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + RegionView3D *rv3d = draw_ctx->rv3d; + ARegion *ar = draw_ctx->ar; + RenderEngineType *type; + + DRW_state_reset_ex(DRW_STATE_DEFAULT & ~DRW_STATE_DEPTH_LESS_EQUAL); + + /* Create render engine. */ + if (!rv3d->render_engine) { + RenderEngineType *engine_type = draw_ctx->engine_type; + + if (!(engine_type->view_update && engine_type->view_draw)) { + return; + } + + RenderEngine *engine = RE_engine_create_ex(engine_type, true); + engine->tile_x = scene->r.tilex; + engine->tile_y = scene->r.tiley; + engine_type->view_update(engine, draw_ctx->evil_C); + rv3d->render_engine = engine; + } + + /* Rendered draw. */ + GPU_matrix_push_projection(); + ED_region_pixelspace(ar); + + /* Render result draw. */ + type = rv3d->render_engine->type; + type->view_draw(rv3d->render_engine, draw_ctx->evil_C); + + GPU_matrix_pop_projection(); + + /* Set render info. */ + EXTERNAL_Data *data = vedata; + if (rv3d->render_engine->text[0] != '\0') { + BLI_strncpy(data->info, rv3d->render_engine->text, sizeof(data->info)); + } + else { + data->info[0] = '\0'; + } } static void external_draw_scene(void *vedata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EXTERNAL_PassList *psl = ((EXTERNAL_Data *)vedata)->psl; - - /* Will be NULL during OpenGL render. - * OpenGL render is used for quick preview (thumbnails or sequencer preview) - * where using the rendering engine to preview doesn't make so much sense. */ - if (draw_ctx->evil_C) { - external_draw_scene_do(vedata); - } - DRW_draw_pass(psl->depth_pass); + const DRWContextState *draw_ctx = DRW_context_state_get(); + EXTERNAL_PassList *psl = ((EXTERNAL_Data *)vedata)->psl; + + /* Will be NULL during OpenGL render. + * OpenGL render is used for quick preview (thumbnails or sequencer preview) + * where using the rendering engine to preview doesn't make so much sense. */ + if (draw_ctx->evil_C) { + external_draw_scene_do(vedata); + } + DRW_draw_pass(psl->depth_pass); } static void external_engine_free(void) { - /* All shaders are builtin. */ + /* All shaders are builtin. */ } static const DrawEngineDataSize external_data_size = DRW_VIEWPORT_DATA_SIZE(EXTERNAL_Data); static DrawEngineType draw_engine_external_type = { - NULL, NULL, - N_("External"), - &external_data_size, - &external_engine_init, - &external_engine_free, - &external_cache_init, - &external_cache_populate, - &external_cache_finish, - NULL, - &external_draw_scene, - NULL, - NULL, - NULL, + NULL, + NULL, + N_("External"), + &external_data_size, + &external_engine_init, + &external_engine_free, + &external_cache_init, + &external_cache_populate, + &external_cache_finish, + NULL, + &external_draw_scene, + NULL, + NULL, + NULL, }; /* Note: currently unused, we should not register unless we want to see this when debugging the view. */ RenderEngineType DRW_engine_viewport_external_type = { - NULL, NULL, - EXTERNAL_ENGINE, N_("External"), RE_INTERNAL, - NULL, NULL, NULL, NULL, NULL, NULL, NULL, - &draw_engine_external_type, - {NULL, NULL, NULL}, + NULL, + NULL, + EXTERNAL_ENGINE, + N_("External"), + RE_INTERNAL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + NULL, + &draw_engine_external_type, + {NULL, NULL, NULL}, }; #undef EXTERNAL_ENGINE diff --git a/source/blender/draw/engines/gpencil/gpencil_cache_utils.c b/source/blender/draw/engines/gpencil/gpencil_cache_utils.c index 972ada22b50..76ec0a61b8c 100644 --- a/source/blender/draw/engines/gpencil/gpencil_cache_utils.c +++ b/source/blender/draw/engines/gpencil/gpencil_cache_utils.c @@ -42,311 +42,317 @@ /* verify if exist a non instanced version of the object */ static bool gpencil_has_noninstanced_object(Object *ob_instance) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const ViewLayer *view_layer = draw_ctx->view_layer; - Object *ob = NULL; - for (Base *base = view_layer->object_bases.first; base; base = base->next) { - ob = base->object; - if (ob->type != OB_GPENCIL) { - continue; - } - /* object must be visible (invisible objects don't create VBO data) */ - if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { - continue; - } - /* is not duplicated and the name is equals */ - if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { - if (STREQ(ob->id.name, ob_instance->id.name)) { - return true; - } - } - } - - return false; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const ViewLayer *view_layer = draw_ctx->view_layer; + Object *ob = NULL; + for (Base *base = view_layer->object_bases.first; base; base = base->next) { + ob = base->object; + if (ob->type != OB_GPENCIL) { + continue; + } + /* object must be visible (invisible objects don't create VBO data) */ + if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { + continue; + } + /* is not duplicated and the name is equals */ + if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { + if (STREQ(ob->id.name, ob_instance->id.name)) { + return true; + } + } + } + + return false; } /* add a gpencil object to cache to defer drawing */ -tGPencilObjectCache *gpencil_object_cache_add( - tGPencilObjectCache *cache_array, Object *ob, - int *gp_cache_size, int *gp_cache_used) +tGPencilObjectCache *gpencil_object_cache_add(tGPencilObjectCache *cache_array, + Object *ob, + int *gp_cache_size, + int *gp_cache_used) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - tGPencilObjectCache *cache_elem = NULL; - RegionView3D *rv3d = draw_ctx->rv3d; - View3D *v3d = draw_ctx->v3d; - tGPencilObjectCache *p = NULL; - - /* By default a cache is created with one block with a predefined number of free slots, - if the size is not enough, the cache is reallocated adding a new block of free slots. - This is done in order to keep cache small */ - if (*gp_cache_used + 1 > *gp_cache_size) { - if ((*gp_cache_size == 0) || (cache_array == NULL)) { - p = MEM_callocN(sizeof(struct tGPencilObjectCache) * GP_CACHE_BLOCK_SIZE, "tGPencilObjectCache"); - *gp_cache_size = GP_CACHE_BLOCK_SIZE; - } - else { - *gp_cache_size += GP_CACHE_BLOCK_SIZE; - p = MEM_recallocN(cache_array, sizeof(struct tGPencilObjectCache) * *gp_cache_size); - } - cache_array = p; - } - /* zero out all pointers */ - cache_elem = &cache_array[*gp_cache_used]; - memset(cache_elem, 0, sizeof(*cache_elem)); - - cache_elem->ob = ob; - cache_elem->gpd = (bGPdata *)ob->data; - cache_elem->name = BKE_id_to_unique_string_key(&ob->id); - - copy_v3_v3(cache_elem->loc, ob->obmat[3]); - copy_m4_m4(cache_elem->obmat, ob->obmat); - cache_elem->idx = *gp_cache_used; - - /* object is duplicated (particle) */ - if (ob->base_flag & BASE_FROM_DUPLI) { - /* Check if the original object is not in the viewlayer - * and cannot be managed as dupli. This is slower, but required to keep - * the particle drawing FPS and display instanced objects in scene - * without the original object */ - bool has_original = gpencil_has_noninstanced_object(ob); - cache_elem->is_dup_ob = (has_original) ? ob->base_flag & BASE_FROM_DUPLI : false; - } - else { - cache_elem->is_dup_ob = false; - } - - cache_elem->scale = mat4_to_scale(ob->obmat); - - /* save FXs */ - cache_elem->pixfactor = cache_elem->gpd->pixfactor; - cache_elem->shader_fx = ob->shader_fx; - - /* save wire mode (object mode is always primary option) */ - if (ob->dt == OB_WIRE) { - cache_elem->shading_type[0] = (int)OB_WIRE; - } - else { - if (v3d) { - cache_elem->shading_type[0] = (int)v3d->shading.type; - } - } - - /* shgrp array */ - cache_elem->tot_layers = 0; - int totgpl = BLI_listbase_count(&cache_elem->gpd->layers); - if (totgpl > 0) { - cache_elem->shgrp_array = MEM_callocN(sizeof(tGPencilObjectCache_shgrp) * totgpl, __func__); - } - - /* calculate zdepth from point of view */ - float zdepth = 0.0; - if (rv3d) { - if (rv3d->is_persp) { - zdepth = ED_view3d_calc_zfac(rv3d, ob->obmat[3], NULL); - } - else { - zdepth = -dot_v3v3(rv3d->viewinv[2], ob->obmat[3]); - } - } - else { - /* In render mode, rv3d is not available, so use the distance to camera. - * The real distance is not important, but the relative distance to the camera plane - * in order to sort by z_depth of the objects - */ - float vn[3] = { 0.0f, 0.0f, -1.0f }; /* always face down */ - float plane_cam[4]; - struct Object *camera = draw_ctx->scene->camera; - if (camera) { - mul_m4_v3(camera->obmat, vn); - normalize_v3(vn); - plane_from_point_normal_v3(plane_cam, camera->loc, vn); - zdepth = dist_squared_to_plane_v3(ob->obmat[3], plane_cam); - } - } - cache_elem->zdepth = zdepth; - /* increase slots used in cache */ - (*gp_cache_used)++; - - return cache_array; + const DRWContextState *draw_ctx = DRW_context_state_get(); + tGPencilObjectCache *cache_elem = NULL; + RegionView3D *rv3d = draw_ctx->rv3d; + View3D *v3d = draw_ctx->v3d; + tGPencilObjectCache *p = NULL; + + /* By default a cache is created with one block with a predefined number of free slots, + if the size is not enough, the cache is reallocated adding a new block of free slots. + This is done in order to keep cache small */ + if (*gp_cache_used + 1 > *gp_cache_size) { + if ((*gp_cache_size == 0) || (cache_array == NULL)) { + p = MEM_callocN(sizeof(struct tGPencilObjectCache) * GP_CACHE_BLOCK_SIZE, + "tGPencilObjectCache"); + *gp_cache_size = GP_CACHE_BLOCK_SIZE; + } + else { + *gp_cache_size += GP_CACHE_BLOCK_SIZE; + p = MEM_recallocN(cache_array, sizeof(struct tGPencilObjectCache) * *gp_cache_size); + } + cache_array = p; + } + /* zero out all pointers */ + cache_elem = &cache_array[*gp_cache_used]; + memset(cache_elem, 0, sizeof(*cache_elem)); + + cache_elem->ob = ob; + cache_elem->gpd = (bGPdata *)ob->data; + cache_elem->name = BKE_id_to_unique_string_key(&ob->id); + + copy_v3_v3(cache_elem->loc, ob->obmat[3]); + copy_m4_m4(cache_elem->obmat, ob->obmat); + cache_elem->idx = *gp_cache_used; + + /* object is duplicated (particle) */ + if (ob->base_flag & BASE_FROM_DUPLI) { + /* Check if the original object is not in the viewlayer + * and cannot be managed as dupli. This is slower, but required to keep + * the particle drawing FPS and display instanced objects in scene + * without the original object */ + bool has_original = gpencil_has_noninstanced_object(ob); + cache_elem->is_dup_ob = (has_original) ? ob->base_flag & BASE_FROM_DUPLI : false; + } + else { + cache_elem->is_dup_ob = false; + } + + cache_elem->scale = mat4_to_scale(ob->obmat); + + /* save FXs */ + cache_elem->pixfactor = cache_elem->gpd->pixfactor; + cache_elem->shader_fx = ob->shader_fx; + + /* save wire mode (object mode is always primary option) */ + if (ob->dt == OB_WIRE) { + cache_elem->shading_type[0] = (int)OB_WIRE; + } + else { + if (v3d) { + cache_elem->shading_type[0] = (int)v3d->shading.type; + } + } + + /* shgrp array */ + cache_elem->tot_layers = 0; + int totgpl = BLI_listbase_count(&cache_elem->gpd->layers); + if (totgpl > 0) { + cache_elem->shgrp_array = MEM_callocN(sizeof(tGPencilObjectCache_shgrp) * totgpl, __func__); + } + + /* calculate zdepth from point of view */ + float zdepth = 0.0; + if (rv3d) { + if (rv3d->is_persp) { + zdepth = ED_view3d_calc_zfac(rv3d, ob->obmat[3], NULL); + } + else { + zdepth = -dot_v3v3(rv3d->viewinv[2], ob->obmat[3]); + } + } + else { + /* In render mode, rv3d is not available, so use the distance to camera. + * The real distance is not important, but the relative distance to the camera plane + * in order to sort by z_depth of the objects + */ + float vn[3] = {0.0f, 0.0f, -1.0f}; /* always face down */ + float plane_cam[4]; + struct Object *camera = draw_ctx->scene->camera; + if (camera) { + mul_m4_v3(camera->obmat, vn); + normalize_v3(vn); + plane_from_point_normal_v3(plane_cam, camera->loc, vn); + zdepth = dist_squared_to_plane_v3(ob->obmat[3], plane_cam); + } + } + cache_elem->zdepth = zdepth; + /* increase slots used in cache */ + (*gp_cache_used)++; + + return cache_array; } /* add a shading group to the cache to create later */ -GpencilBatchGroup *gpencil_group_cache_add( - GpencilBatchGroup *cache_array, - bGPDlayer *gpl, bGPDframe *gpf, bGPDstroke *gps, - const short type, const bool onion, - const int vertex_idx, - int *grp_size, int *grp_used) +GpencilBatchGroup *gpencil_group_cache_add(GpencilBatchGroup *cache_array, + bGPDlayer *gpl, + bGPDframe *gpf, + bGPDstroke *gps, + const short type, + const bool onion, + const int vertex_idx, + int *grp_size, + int *grp_used) { - GpencilBatchGroup *cache_elem = NULL; - GpencilBatchGroup *p = NULL; - - /* By default a cache is created with one block with a predefined number of free slots, - if the size is not enough, the cache is reallocated adding a new block of free slots. - This is done in order to keep cache small */ - if (*grp_used + 1 > *grp_size) { - if ((*grp_size == 0) || (cache_array == NULL)) { - p = MEM_callocN(sizeof(struct GpencilBatchGroup) * GPENCIL_GROUPS_BLOCK_SIZE, "GpencilBatchGroup"); - *grp_size = GPENCIL_GROUPS_BLOCK_SIZE; - } - else { - *grp_size += GPENCIL_GROUPS_BLOCK_SIZE; - p = MEM_recallocN(cache_array, sizeof(struct GpencilBatchGroup) * *grp_size); - } - cache_array = p; - } - /* zero out all data */ - cache_elem = &cache_array[*grp_used]; - memset(cache_elem, 0, sizeof(*cache_elem)); - - cache_elem->gpl = gpl; - cache_elem->gpf = gpf; - cache_elem->gps = gps; - cache_elem->type = type; - cache_elem->onion = onion; - cache_elem->vertex_idx = vertex_idx; - - /* increase slots used in cache */ - (*grp_used)++; - - return cache_array; + GpencilBatchGroup *cache_elem = NULL; + GpencilBatchGroup *p = NULL; + + /* By default a cache is created with one block with a predefined number of free slots, + if the size is not enough, the cache is reallocated adding a new block of free slots. + This is done in order to keep cache small */ + if (*grp_used + 1 > *grp_size) { + if ((*grp_size == 0) || (cache_array == NULL)) { + p = MEM_callocN(sizeof(struct GpencilBatchGroup) * GPENCIL_GROUPS_BLOCK_SIZE, + "GpencilBatchGroup"); + *grp_size = GPENCIL_GROUPS_BLOCK_SIZE; + } + else { + *grp_size += GPENCIL_GROUPS_BLOCK_SIZE; + p = MEM_recallocN(cache_array, sizeof(struct GpencilBatchGroup) * *grp_size); + } + cache_array = p; + } + /* zero out all data */ + cache_elem = &cache_array[*grp_used]; + memset(cache_elem, 0, sizeof(*cache_elem)); + + cache_elem->gpl = gpl; + cache_elem->gpf = gpf; + cache_elem->gps = gps; + cache_elem->type = type; + cache_elem->onion = onion; + cache_elem->vertex_idx = vertex_idx; + + /* increase slots used in cache */ + (*grp_used)++; + + return cache_array; } /* get current cache data */ static GpencilBatchCache *gpencil_batch_get_element(Object *ob) { - return ob->runtime.gpencil_cache; + return ob->runtime.gpencil_cache; } /* verify if cache is valid */ static bool gpencil_batch_cache_valid(GpencilBatchCache *cache, bGPdata *gpd, int cfra) { - bool valid = true; - if (cache == NULL) { - return false; - } - - cache->is_editmode = GPENCIL_ANY_EDIT_MODE(gpd); - if (cfra != cache->cache_frame) { - valid = false; - } - else if (gpd->flag & GP_DATA_CACHE_IS_DIRTY) { - valid = false; - } - else if (gpd->flag & GP_DATA_PYTHON_UPDATED) { - gpd->flag &= ~GP_DATA_PYTHON_UPDATED; - valid = false; - } - else if (cache->is_editmode) { - valid = false; - } - else if (cache->is_dirty) { - valid = false; - } - - return valid; + bool valid = true; + if (cache == NULL) { + return false; + } + + cache->is_editmode = GPENCIL_ANY_EDIT_MODE(gpd); + if (cfra != cache->cache_frame) { + valid = false; + } + else if (gpd->flag & GP_DATA_CACHE_IS_DIRTY) { + valid = false; + } + else if (gpd->flag & GP_DATA_PYTHON_UPDATED) { + gpd->flag &= ~GP_DATA_PYTHON_UPDATED; + valid = false; + } + else if (cache->is_editmode) { + valid = false; + } + else if (cache->is_dirty) { + valid = false; + } + + return valid; } /* cache init */ static GpencilBatchCache *gpencil_batch_cache_init(Object *ob, int cfra) { - bGPdata *gpd = (bGPdata *)ob->data; + bGPdata *gpd = (bGPdata *)ob->data; - GpencilBatchCache *cache = gpencil_batch_get_element(ob); + GpencilBatchCache *cache = gpencil_batch_get_element(ob); - if (!cache) { - cache = MEM_callocN(sizeof(*cache), __func__); - ob->runtime.gpencil_cache = cache; - } - else { - memset(cache, 0, sizeof(*cache)); - } + if (!cache) { + cache = MEM_callocN(sizeof(*cache), __func__); + ob->runtime.gpencil_cache = cache; + } + else { + memset(cache, 0, sizeof(*cache)); + } - cache->is_editmode = GPENCIL_ANY_EDIT_MODE(gpd); + cache->is_editmode = GPENCIL_ANY_EDIT_MODE(gpd); - cache->is_dirty = true; + cache->is_dirty = true; - cache->cache_frame = cfra; + cache->cache_frame = cfra; - /* create array of derived frames equal to number of layers */ - cache->tot_layers = BLI_listbase_count(&gpd->layers); - CLAMP_MIN(cache->tot_layers, 1); - cache->derived_array = MEM_callocN(sizeof(struct bGPDframe) * cache->tot_layers, "Derived GPF"); + /* create array of derived frames equal to number of layers */ + cache->tot_layers = BLI_listbase_count(&gpd->layers); + CLAMP_MIN(cache->tot_layers, 1); + cache->derived_array = MEM_callocN(sizeof(struct bGPDframe) * cache->tot_layers, "Derived GPF"); - return cache; + return cache; } /* clear cache */ static void gpencil_batch_cache_clear(GpencilBatchCache *cache) { - if (!cache) { - return; - } - - GPU_BATCH_DISCARD_SAFE(cache->b_stroke.batch); - GPU_BATCH_DISCARD_SAFE(cache->b_point.batch); - GPU_BATCH_DISCARD_SAFE(cache->b_fill.batch); - GPU_BATCH_DISCARD_SAFE(cache->b_edit.batch); - GPU_BATCH_DISCARD_SAFE(cache->b_edlin.batch); - - MEM_SAFE_FREE(cache->b_stroke.batch); - MEM_SAFE_FREE(cache->b_point.batch); - MEM_SAFE_FREE(cache->b_fill.batch); - MEM_SAFE_FREE(cache->b_edit.batch); - MEM_SAFE_FREE(cache->b_edlin.batch); - - MEM_SAFE_FREE(cache->grp_cache); - cache->grp_size = 0; - cache->grp_used = 0; - - /* clear all frames derived data */ - for (int i = 0; i < cache->tot_layers; i++) { - bGPDframe *derived_gpf = &cache->derived_array[i]; - BKE_gpencil_free_frame_runtime_data(derived_gpf); - derived_gpf = NULL; - } - cache->tot_layers = 0; - MEM_SAFE_FREE(cache->derived_array); + if (!cache) { + return; + } + + GPU_BATCH_DISCARD_SAFE(cache->b_stroke.batch); + GPU_BATCH_DISCARD_SAFE(cache->b_point.batch); + GPU_BATCH_DISCARD_SAFE(cache->b_fill.batch); + GPU_BATCH_DISCARD_SAFE(cache->b_edit.batch); + GPU_BATCH_DISCARD_SAFE(cache->b_edlin.batch); + + MEM_SAFE_FREE(cache->b_stroke.batch); + MEM_SAFE_FREE(cache->b_point.batch); + MEM_SAFE_FREE(cache->b_fill.batch); + MEM_SAFE_FREE(cache->b_edit.batch); + MEM_SAFE_FREE(cache->b_edlin.batch); + + MEM_SAFE_FREE(cache->grp_cache); + cache->grp_size = 0; + cache->grp_used = 0; + + /* clear all frames derived data */ + for (int i = 0; i < cache->tot_layers; i++) { + bGPDframe *derived_gpf = &cache->derived_array[i]; + BKE_gpencil_free_frame_runtime_data(derived_gpf); + derived_gpf = NULL; + } + cache->tot_layers = 0; + MEM_SAFE_FREE(cache->derived_array); } /* get cache */ GpencilBatchCache *gpencil_batch_cache_get(Object *ob, int cfra) { - bGPdata *gpd = (bGPdata *)ob->data; - - GpencilBatchCache *cache = gpencil_batch_get_element(ob); - if (!gpencil_batch_cache_valid(cache, gpd, cfra)) { - if (cache) { - gpencil_batch_cache_clear(cache); - } - return gpencil_batch_cache_init(ob, cfra); - } - else { - return cache; - } + bGPdata *gpd = (bGPdata *)ob->data; + + GpencilBatchCache *cache = gpencil_batch_get_element(ob); + if (!gpencil_batch_cache_valid(cache, gpd, cfra)) { + if (cache) { + gpencil_batch_cache_clear(cache); + } + return gpencil_batch_cache_init(ob, cfra); + } + else { + return cache; + } } /* set cache as dirty */ void DRW_gpencil_batch_cache_dirty_tag(bGPdata *gpd) { - gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + gpd->flag |= GP_DATA_CACHE_IS_DIRTY; } /* free batch cache */ void DRW_gpencil_batch_cache_free(bGPdata *UNUSED(gpd)) { - return; + return; } /* wrapper to clear cache */ void DRW_gpencil_freecache(struct Object *ob) { - if ((ob) && (ob->type == OB_GPENCIL)) { - gpencil_batch_cache_clear(ob->runtime.gpencil_cache); - MEM_SAFE_FREE(ob->runtime.gpencil_cache); - bGPdata *gpd = (bGPdata *)ob->data; - if (gpd) { - gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - } - } + if ((ob) && (ob->type == OB_GPENCIL)) { + gpencil_batch_cache_clear(ob->runtime.gpencil_cache); + MEM_SAFE_FREE(ob->runtime.gpencil_cache); + bGPdata *gpd = (bGPdata *)ob->data; + if (gpd) { + gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + } + } } diff --git a/source/blender/draw/engines/gpencil/gpencil_draw_cache_impl.c b/source/blender/draw/engines/gpencil/gpencil_draw_cache_impl.c index 3bcc963c966..9e71791fbf3 100644 --- a/source/blender/draw/engines/gpencil/gpencil_draw_cache_impl.c +++ b/source/blender/draw/engines/gpencil/gpencil_draw_cache_impl.c @@ -34,7 +34,6 @@ #include "DRW_render.h" - #include "ED_gpencil.h" #include "ED_view3d.h" @@ -43,776 +42,873 @@ #include "gpencil_engine.h" /* Helper to add stroke point to vbo */ -static void gpencil_set_stroke_point( - GPUVertBuf *vbo, const bGPDspoint *pt, int idx, - uint pos_id, uint color_id, - uint thickness_id, uint uvdata_id, short thickness, - const float ink[4]) +static void gpencil_set_stroke_point(GPUVertBuf *vbo, + const bGPDspoint *pt, + int idx, + uint pos_id, + uint color_id, + uint thickness_id, + uint uvdata_id, + short thickness, + const float ink[4]) { - float alpha = ink[3] * pt->strength; - CLAMP(alpha, GPENCIL_STRENGTH_MIN, 1.0f); - float col[4]; - ARRAY_SET_ITEMS(col, ink[0], ink[1], ink[2], alpha); + float alpha = ink[3] * pt->strength; + CLAMP(alpha, GPENCIL_STRENGTH_MIN, 1.0f); + float col[4]; + ARRAY_SET_ITEMS(col, ink[0], ink[1], ink[2], alpha); - GPU_vertbuf_attr_set(vbo, color_id, idx, col); + GPU_vertbuf_attr_set(vbo, color_id, idx, col); - /* transfer both values using the same shader variable */ - float uvdata[2] = { pt->uv_fac, pt->uv_rot }; - GPU_vertbuf_attr_set(vbo, uvdata_id, idx, uvdata); + /* transfer both values using the same shader variable */ + float uvdata[2] = {pt->uv_fac, pt->uv_rot}; + GPU_vertbuf_attr_set(vbo, uvdata_id, idx, uvdata); - /* the thickness of the stroke must be affected by zoom, so a pixel scale is calculated */ - float thick = max_ff(pt->pressure * thickness, 1.0f); - GPU_vertbuf_attr_set(vbo, thickness_id, idx, &thick); + /* the thickness of the stroke must be affected by zoom, so a pixel scale is calculated */ + float thick = max_ff(pt->pressure * thickness, 1.0f); + GPU_vertbuf_attr_set(vbo, thickness_id, idx, &thick); - GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt->x); + GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt->x); } /* Helper to add a new fill point and texture coordinates to vertex buffer */ -static void gpencil_set_fill_point( - GPUVertBuf *vbo, int idx, bGPDspoint *pt, const float fcolor[4], float uv[2], - uint pos_id, uint color_id, uint text_id) +static void gpencil_set_fill_point(GPUVertBuf *vbo, + int idx, + bGPDspoint *pt, + const float fcolor[4], + float uv[2], + uint pos_id, + uint color_id, + uint text_id) { - GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt->x); - GPU_vertbuf_attr_set(vbo, color_id, idx, fcolor); - GPU_vertbuf_attr_set(vbo, text_id, idx, uv); + GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt->x); + GPU_vertbuf_attr_set(vbo, color_id, idx, fcolor); + GPU_vertbuf_attr_set(vbo, text_id, idx, uv); } static void gpencil_vbo_ensure_size(GpencilBatchCacheElem *be, int totvertex) { - if (be->vbo->vertex_alloc <= be->vbo_len + totvertex) { - uint newsize = be->vbo->vertex_alloc + (((totvertex / GPENCIL_VBO_BLOCK_SIZE) + 1) * GPENCIL_VBO_BLOCK_SIZE); - GPU_vertbuf_data_resize(be->vbo, newsize); - } + if (be->vbo->vertex_alloc <= be->vbo_len + totvertex) { + uint newsize = be->vbo->vertex_alloc + + (((totvertex / GPENCIL_VBO_BLOCK_SIZE) + 1) * GPENCIL_VBO_BLOCK_SIZE); + GPU_vertbuf_data_resize(be->vbo, newsize); + } } /* create batch geometry data for points stroke shader */ -void DRW_gpencil_get_point_geom(GpencilBatchCacheElem *be, bGPDstroke *gps, short thickness, const float ink[4]) +void DRW_gpencil_get_point_geom(GpencilBatchCacheElem *be, + bGPDstroke *gps, + short thickness, + const float ink[4]) { - int totvertex = gps->totpoints; - if (be->vbo == NULL) { - be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - be->thickness_id = GPU_vertformat_attr_add(&be->format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - be->uvdata_id = GPU_vertformat_attr_add(&be->format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - be->prev_pos_id = GPU_vertformat_attr_add(&be->format, "prev_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - - be->vbo = GPU_vertbuf_create_with_format(&be->format); - GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); - be->vbo_len = 0; - } - gpencil_vbo_ensure_size(be, totvertex); - - /* draw stroke curve */ - const bGPDspoint *pt = gps->points; - float alpha; - float col[4]; - - for (int i = 0; i < gps->totpoints; i++, pt++) { - /* set point */ - alpha = ink[3] * pt->strength; - CLAMP(alpha, GPENCIL_STRENGTH_MIN, 1.0f); - ARRAY_SET_ITEMS(col, ink[0], ink[1], ink[2], alpha); - - float thick = max_ff(pt->pressure * thickness, 1.0f); - - GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, col); - GPU_vertbuf_attr_set(be->vbo, be->thickness_id, be->vbo_len, &thick); - - /* transfer both values using the same shader variable */ - float uvdata[2] = { pt->uv_fac, pt->uv_rot }; - GPU_vertbuf_attr_set(be->vbo, be->uvdata_id, be->vbo_len, uvdata); - - GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); - - /* use previous point to determine stroke direction */ - bGPDspoint *pt2 = NULL; - if (i == 0) { - if (gps->totpoints > 1) { - /* extrapolate a point before first point */ - float fpt[3]; - pt2 = &gps->points[1]; - interp_v3_v3v3(fpt, &pt2->x, &pt->x, 1.5f); - GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, fpt); - } - else { - GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, &pt->x); - } - } - else { - pt2 = &gps->points[i - 1]; - GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, &pt2->x); - } - - be->vbo_len++; - } + int totvertex = gps->totpoints; + if (be->vbo == NULL) { + be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + be->thickness_id = GPU_vertformat_attr_add( + &be->format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + be->uvdata_id = GPU_vertformat_attr_add( + &be->format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + be->prev_pos_id = GPU_vertformat_attr_add( + &be->format, "prev_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + + be->vbo = GPU_vertbuf_create_with_format(&be->format); + GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); + be->vbo_len = 0; + } + gpencil_vbo_ensure_size(be, totvertex); + + /* draw stroke curve */ + const bGPDspoint *pt = gps->points; + float alpha; + float col[4]; + + for (int i = 0; i < gps->totpoints; i++, pt++) { + /* set point */ + alpha = ink[3] * pt->strength; + CLAMP(alpha, GPENCIL_STRENGTH_MIN, 1.0f); + ARRAY_SET_ITEMS(col, ink[0], ink[1], ink[2], alpha); + + float thick = max_ff(pt->pressure * thickness, 1.0f); + + GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, col); + GPU_vertbuf_attr_set(be->vbo, be->thickness_id, be->vbo_len, &thick); + + /* transfer both values using the same shader variable */ + float uvdata[2] = {pt->uv_fac, pt->uv_rot}; + GPU_vertbuf_attr_set(be->vbo, be->uvdata_id, be->vbo_len, uvdata); + + GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); + + /* use previous point to determine stroke direction */ + bGPDspoint *pt2 = NULL; + if (i == 0) { + if (gps->totpoints > 1) { + /* extrapolate a point before first point */ + float fpt[3]; + pt2 = &gps->points[1]; + interp_v3_v3v3(fpt, &pt2->x, &pt->x, 1.5f); + GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, fpt); + } + else { + GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, &pt->x); + } + } + else { + pt2 = &gps->points[i - 1]; + GPU_vertbuf_attr_set(be->vbo, be->prev_pos_id, be->vbo_len, &pt2->x); + } + + be->vbo_len++; + } } /* create batch geometry data for stroke shader */ -void DRW_gpencil_get_stroke_geom(struct GpencilBatchCacheElem *be, bGPDstroke *gps, short thickness, const float ink[4]) +void DRW_gpencil_get_stroke_geom(struct GpencilBatchCacheElem *be, + bGPDstroke *gps, + short thickness, + const float ink[4]) { - bGPDspoint *points = gps->points; - int totpoints = gps->totpoints; - /* if cyclic needs more vertex */ - int cyclic_add = (gps->flag & GP_STROKE_CYCLIC) ? 1 : 0; - int totvertex = totpoints + cyclic_add + 2; - - if (be->vbo == NULL) { - be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - be->thickness_id = GPU_vertformat_attr_add(&be->format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - be->uvdata_id = GPU_vertformat_attr_add(&be->format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - be->vbo = GPU_vertbuf_create_with_format(&be->format); - GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); - be->vbo_len = 0; - } - gpencil_vbo_ensure_size(be, totvertex); - - /* draw stroke curve */ - const bGPDspoint *pt = points; - for (int i = 0; i < totpoints; i++, pt++) { - /* first point for adjacency (not drawn) */ - if (i == 0) { - if (gps->flag & GP_STROKE_CYCLIC && totpoints > 2) { - gpencil_set_stroke_point( - be->vbo, &points[totpoints - 1], be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - } - else { - gpencil_set_stroke_point( - be->vbo, &points[1], be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - } - } - /* set point */ - gpencil_set_stroke_point( - be->vbo, pt, be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - } - - if (gps->flag & GP_STROKE_CYCLIC && totpoints > 2) { - /* draw line to first point to complete the cycle */ - gpencil_set_stroke_point( - be->vbo, &points[0], be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - /* now add adjacency point (not drawn) */ - gpencil_set_stroke_point( - be->vbo, &points[1], be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - } - /* last adjacency point (not drawn) */ - else { - gpencil_set_stroke_point( - be->vbo, &points[totpoints - 2], be->vbo_len, - be->pos_id, be->color_id, be->thickness_id, be->uvdata_id, thickness, ink); - be->vbo_len++; - } + bGPDspoint *points = gps->points; + int totpoints = gps->totpoints; + /* if cyclic needs more vertex */ + int cyclic_add = (gps->flag & GP_STROKE_CYCLIC) ? 1 : 0; + int totvertex = totpoints + cyclic_add + 2; + + if (be->vbo == NULL) { + be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + be->thickness_id = GPU_vertformat_attr_add( + &be->format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + be->uvdata_id = GPU_vertformat_attr_add( + &be->format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + be->vbo = GPU_vertbuf_create_with_format(&be->format); + GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); + be->vbo_len = 0; + } + gpencil_vbo_ensure_size(be, totvertex); + + /* draw stroke curve */ + const bGPDspoint *pt = points; + for (int i = 0; i < totpoints; i++, pt++) { + /* first point for adjacency (not drawn) */ + if (i == 0) { + if (gps->flag & GP_STROKE_CYCLIC && totpoints > 2) { + gpencil_set_stroke_point(be->vbo, + &points[totpoints - 1], + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + } + else { + gpencil_set_stroke_point(be->vbo, + &points[1], + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + } + } + /* set point */ + gpencil_set_stroke_point(be->vbo, + pt, + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + } + + if (gps->flag & GP_STROKE_CYCLIC && totpoints > 2) { + /* draw line to first point to complete the cycle */ + gpencil_set_stroke_point(be->vbo, + &points[0], + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + /* now add adjacency point (not drawn) */ + gpencil_set_stroke_point(be->vbo, + &points[1], + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + } + /* last adjacency point (not drawn) */ + else { + gpencil_set_stroke_point(be->vbo, + &points[totpoints - 2], + be->vbo_len, + be->pos_id, + be->color_id, + be->thickness_id, + be->uvdata_id, + thickness, + ink); + be->vbo_len++; + } } /* create batch geometry data for stroke shader */ -void DRW_gpencil_get_fill_geom(struct GpencilBatchCacheElem *be, Object *ob, bGPDstroke *gps, const float color[4]) +void DRW_gpencil_get_fill_geom(struct GpencilBatchCacheElem *be, + Object *ob, + bGPDstroke *gps, + const float color[4]) { - BLI_assert(gps->totpoints >= 3); - - /* Calculate triangles cache for filling area (must be done only after changes) */ - if ((gps->flag & GP_STROKE_RECALC_GEOMETRY) || (gps->tot_triangles == 0) || (gps->triangles == NULL)) { - DRW_gpencil_triangulate_stroke_fill(ob, gps); - } - - BLI_assert(gps->tot_triangles >= 1); - int totvertex = gps->tot_triangles * 3; - - if (be->vbo == NULL) { - be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - be->uvdata_id = GPU_vertformat_attr_add(&be->format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - be->vbo = GPU_vertbuf_create_with_format(&be->format); - GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); - be->vbo_len = 0; - } - gpencil_vbo_ensure_size(be, totvertex); - - /* Draw all triangles for filling the polygon (cache must be calculated before) */ - bGPDtriangle *stroke_triangle = gps->triangles; - for (int i = 0; i < gps->tot_triangles; i++, stroke_triangle++) { - for (int j = 0; j < 3; j++) { - gpencil_set_fill_point( - be->vbo, be->vbo_len, &gps->points[stroke_triangle->verts[j]], color, stroke_triangle->uv[j], - be->pos_id, be->color_id, be->uvdata_id); - be->vbo_len++; - } - } + BLI_assert(gps->totpoints >= 3); + + /* Calculate triangles cache for filling area (must be done only after changes) */ + if ((gps->flag & GP_STROKE_RECALC_GEOMETRY) || (gps->tot_triangles == 0) || + (gps->triangles == NULL)) { + DRW_gpencil_triangulate_stroke_fill(ob, gps); + } + + BLI_assert(gps->tot_triangles >= 1); + int totvertex = gps->tot_triangles * 3; + + if (be->vbo == NULL) { + be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + be->uvdata_id = GPU_vertformat_attr_add( + &be->format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + be->vbo = GPU_vertbuf_create_with_format(&be->format); + GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); + be->vbo_len = 0; + } + gpencil_vbo_ensure_size(be, totvertex); + + /* Draw all triangles for filling the polygon (cache must be calculated before) */ + bGPDtriangle *stroke_triangle = gps->triangles; + for (int i = 0; i < gps->tot_triangles; i++, stroke_triangle++) { + for (int j = 0; j < 3; j++) { + gpencil_set_fill_point(be->vbo, + be->vbo_len, + &gps->points[stroke_triangle->verts[j]], + color, + stroke_triangle->uv[j], + be->pos_id, + be->color_id, + be->uvdata_id); + be->vbo_len++; + } + } } /* create batch geometry data for current buffer stroke shader */ GPUBatch *DRW_gpencil_get_buffer_stroke_geom(bGPdata *gpd, short thickness) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ARegion *ar = draw_ctx->ar; - RegionView3D *rv3d = draw_ctx->rv3d; - ToolSettings *ts = scene->toolsettings; - Object *ob = draw_ctx->obact; - - tGPspoint *points = gpd->runtime.sbuffer; - int totpoints = gpd->runtime.sbuffer_size; - /* if cyclic needs more vertex */ - int cyclic_add = (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC) ? 1 : 0; - int totvertex = totpoints + cyclic_add + 2; - - static GPUVertFormat format = { 0 }; - static uint pos_id, color_id, thickness_id, uvdata_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - thickness_id = GPU_vertformat_attr_add(&format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - uvdata_id = GPU_vertformat_attr_add(&format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, totvertex); - - /* draw stroke curve */ - const tGPspoint *tpt = points; - bGPDspoint pt, pt2, pt3; - int idx = 0; - - /* get origin to reproject point */ - float origin[3]; - bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); - ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); - - for (int i = 0; i < totpoints; i++, tpt++) { - ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); - ED_gp_project_point_to_plane(scene, ob, rv3d, origin, ts->gp_sculpt.lock_axis - 1, &pt); - - /* first point for adjacency (not drawn) */ - if (i == 0) { - if (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC && totpoints > 2) { - ED_gpencil_tpoint_to_point(ar, origin, &points[totpoints - 1], &pt2); - gpencil_set_stroke_point( - vbo, &pt2, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - } - else { - ED_gpencil_tpoint_to_point(ar, origin, &points[1], &pt2); - gpencil_set_stroke_point( - vbo, &pt2, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - } - } - - /* set point */ - gpencil_set_stroke_point( - vbo, &pt, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - } - - /* last adjacency point (not drawn) */ - if (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC && totpoints > 2) { - /* draw line to first point to complete the cycle */ - ED_gpencil_tpoint_to_point(ar, origin, &points[0], &pt2); - gpencil_set_stroke_point( - vbo, &pt2, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - /* now add adjacency point (not drawn) */ - ED_gpencil_tpoint_to_point(ar, origin, &points[1], &pt3); - gpencil_set_stroke_point( - vbo, &pt3, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - } - /* last adjacency point (not drawn) */ - else { - ED_gpencil_tpoint_to_point(ar, origin, &points[totpoints - 2], &pt2); - gpencil_set_stroke_point( - vbo, &pt2, idx, - pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); - idx++; - } - - return GPU_batch_create_ex(GPU_PRIM_LINE_STRIP_ADJ, vbo, NULL, GPU_BATCH_OWNS_VBO); + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ARegion *ar = draw_ctx->ar; + RegionView3D *rv3d = draw_ctx->rv3d; + ToolSettings *ts = scene->toolsettings; + Object *ob = draw_ctx->obact; + + tGPspoint *points = gpd->runtime.sbuffer; + int totpoints = gpd->runtime.sbuffer_size; + /* if cyclic needs more vertex */ + int cyclic_add = (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC) ? 1 : 0; + int totvertex = totpoints + cyclic_add + 2; + + static GPUVertFormat format = {0}; + static uint pos_id, color_id, thickness_id, uvdata_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + thickness_id = GPU_vertformat_attr_add(&format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + uvdata_id = GPU_vertformat_attr_add(&format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, totvertex); + + /* draw stroke curve */ + const tGPspoint *tpt = points; + bGPDspoint pt, pt2, pt3; + int idx = 0; + + /* get origin to reproject point */ + float origin[3]; + bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); + ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); + + for (int i = 0; i < totpoints; i++, tpt++) { + ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); + ED_gp_project_point_to_plane(scene, ob, rv3d, origin, ts->gp_sculpt.lock_axis - 1, &pt); + + /* first point for adjacency (not drawn) */ + if (i == 0) { + if (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC && totpoints > 2) { + ED_gpencil_tpoint_to_point(ar, origin, &points[totpoints - 1], &pt2); + gpencil_set_stroke_point(vbo, + &pt2, + idx, + pos_id, + color_id, + thickness_id, + uvdata_id, + thickness, + gpd->runtime.scolor); + idx++; + } + else { + ED_gpencil_tpoint_to_point(ar, origin, &points[1], &pt2); + gpencil_set_stroke_point(vbo, + &pt2, + idx, + pos_id, + color_id, + thickness_id, + uvdata_id, + thickness, + gpd->runtime.scolor); + idx++; + } + } + + /* set point */ + gpencil_set_stroke_point( + vbo, &pt, idx, pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); + idx++; + } + + /* last adjacency point (not drawn) */ + if (gpd->runtime.sbuffer_sflag & GP_STROKE_CYCLIC && totpoints > 2) { + /* draw line to first point to complete the cycle */ + ED_gpencil_tpoint_to_point(ar, origin, &points[0], &pt2); + gpencil_set_stroke_point( + vbo, &pt2, idx, pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); + idx++; + /* now add adjacency point (not drawn) */ + ED_gpencil_tpoint_to_point(ar, origin, &points[1], &pt3); + gpencil_set_stroke_point( + vbo, &pt3, idx, pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); + idx++; + } + /* last adjacency point (not drawn) */ + else { + ED_gpencil_tpoint_to_point(ar, origin, &points[totpoints - 2], &pt2); + gpencil_set_stroke_point( + vbo, &pt2, idx, pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); + idx++; + } + + return GPU_batch_create_ex(GPU_PRIM_LINE_STRIP_ADJ, vbo, NULL, GPU_BATCH_OWNS_VBO); } /* create batch geometry data for current buffer point shader */ GPUBatch *DRW_gpencil_get_buffer_point_geom(bGPdata *gpd, short thickness) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ARegion *ar = draw_ctx->ar; - RegionView3D *rv3d = draw_ctx->rv3d; - ToolSettings *ts = scene->toolsettings; - Object *ob = draw_ctx->obact; - - tGPspoint *points = gpd->runtime.sbuffer; - int totpoints = gpd->runtime.sbuffer_size; - - static GPUVertFormat format = { 0 }; - static uint pos_id, color_id, thickness_id, uvdata_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - thickness_id = GPU_vertformat_attr_add(&format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - uvdata_id = GPU_vertformat_attr_add(&format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, totpoints); - - /* draw stroke curve */ - const tGPspoint *tpt = points; - bGPDspoint pt; - int idx = 0; - - /* get origin to reproject point */ - float origin[3]; - bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); - ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); - - for (int i = 0; i < totpoints; i++, tpt++) { - ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); - ED_gp_project_point_to_plane(scene, ob, rv3d, origin, ts->gp_sculpt.lock_axis - 1, &pt); - - /* set point */ - gpencil_set_stroke_point( - vbo, &pt, idx, - pos_id, color_id, thickness_id, uvdata_id, - thickness, gpd->runtime.scolor); - idx++; - } - - return GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ARegion *ar = draw_ctx->ar; + RegionView3D *rv3d = draw_ctx->rv3d; + ToolSettings *ts = scene->toolsettings; + Object *ob = draw_ctx->obact; + + tGPspoint *points = gpd->runtime.sbuffer; + int totpoints = gpd->runtime.sbuffer_size; + + static GPUVertFormat format = {0}; + static uint pos_id, color_id, thickness_id, uvdata_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + thickness_id = GPU_vertformat_attr_add(&format, "thickness", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + uvdata_id = GPU_vertformat_attr_add(&format, "uvdata", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, totpoints); + + /* draw stroke curve */ + const tGPspoint *tpt = points; + bGPDspoint pt; + int idx = 0; + + /* get origin to reproject point */ + float origin[3]; + bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); + ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); + + for (int i = 0; i < totpoints; i++, tpt++) { + ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); + ED_gp_project_point_to_plane(scene, ob, rv3d, origin, ts->gp_sculpt.lock_axis - 1, &pt); + + /* set point */ + gpencil_set_stroke_point( + vbo, &pt, idx, pos_id, color_id, thickness_id, uvdata_id, thickness, gpd->runtime.scolor); + idx++; + } + + return GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); } /* create batch geometry data for current buffer control point shader */ GPUBatch *DRW_gpencil_get_buffer_ctrlpoint_geom(bGPdata *gpd) { - bGPDcontrolpoint *cps = gpd->runtime.cp_points; - int totpoints = gpd->runtime.tot_cp_points; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ToolSettings *ts = scene->toolsettings; - - if (ts->gp_sculpt.guide.use_guide) { - totpoints++; - } - - static GPUVertFormat format = { 0 }; - static uint pos_id, color_id, size_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - size_id = GPU_vertformat_attr_add(&format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, totpoints); - - int idx = 0; - for (int i = 0; i < gpd->runtime.tot_cp_points; i++) { - bGPDcontrolpoint *cp = &cps[i]; - - GPU_vertbuf_attr_set(vbo, color_id, idx, cp->color); - - /* scale size */ - float size = cp->size * 0.8f; - GPU_vertbuf_attr_set(vbo, size_id, idx, &size); - - GPU_vertbuf_attr_set(vbo, pos_id, idx, &cp->x); - idx++; - } - - if (ts->gp_sculpt.guide.use_guide) { - float size = 10 * 0.8f; - float color[4]; - float position[3]; - if (ts->gp_sculpt.guide.reference_point == GP_GUIDE_REF_CUSTOM) { - UI_GetThemeColor4fv(TH_GIZMO_PRIMARY, color); - copy_v3_v3(position, ts->gp_sculpt.guide.location); - } - else if (ts->gp_sculpt.guide.reference_point == GP_GUIDE_REF_OBJECT && ts->gp_sculpt.guide.reference_object != NULL) { - UI_GetThemeColor4fv(TH_GIZMO_SECONDARY, color); - copy_v3_v3(position, ts->gp_sculpt.guide.reference_object->loc); - } - else { - UI_GetThemeColor4fv(TH_REDALERT, color); - copy_v3_v3(position, scene->cursor.location); - } - GPU_vertbuf_attr_set(vbo, pos_id, idx, position); - GPU_vertbuf_attr_set(vbo, size_id, idx, &size); - GPU_vertbuf_attr_set(vbo, color_id, idx, color); - } - - return GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); + bGPDcontrolpoint *cps = gpd->runtime.cp_points; + int totpoints = gpd->runtime.tot_cp_points; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ToolSettings *ts = scene->toolsettings; + + if (ts->gp_sculpt.guide.use_guide) { + totpoints++; + } + + static GPUVertFormat format = {0}; + static uint pos_id, color_id, size_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + size_id = GPU_vertformat_attr_add(&format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, totpoints); + + int idx = 0; + for (int i = 0; i < gpd->runtime.tot_cp_points; i++) { + bGPDcontrolpoint *cp = &cps[i]; + + GPU_vertbuf_attr_set(vbo, color_id, idx, cp->color); + + /* scale size */ + float size = cp->size * 0.8f; + GPU_vertbuf_attr_set(vbo, size_id, idx, &size); + + GPU_vertbuf_attr_set(vbo, pos_id, idx, &cp->x); + idx++; + } + + if (ts->gp_sculpt.guide.use_guide) { + float size = 10 * 0.8f; + float color[4]; + float position[3]; + if (ts->gp_sculpt.guide.reference_point == GP_GUIDE_REF_CUSTOM) { + UI_GetThemeColor4fv(TH_GIZMO_PRIMARY, color); + copy_v3_v3(position, ts->gp_sculpt.guide.location); + } + else if (ts->gp_sculpt.guide.reference_point == GP_GUIDE_REF_OBJECT && + ts->gp_sculpt.guide.reference_object != NULL) { + UI_GetThemeColor4fv(TH_GIZMO_SECONDARY, color); + copy_v3_v3(position, ts->gp_sculpt.guide.reference_object->loc); + } + else { + UI_GetThemeColor4fv(TH_REDALERT, color); + copy_v3_v3(position, scene->cursor.location); + } + GPU_vertbuf_attr_set(vbo, pos_id, idx, position); + GPU_vertbuf_attr_set(vbo, size_id, idx, &size); + GPU_vertbuf_attr_set(vbo, color_id, idx, color); + } + + return GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); } /* create batch geometry data for current buffer fill shader */ GPUBatch *DRW_gpencil_get_buffer_fill_geom(bGPdata *gpd) { - if (gpd == NULL) { - return NULL; - } - - const tGPspoint *points = gpd->runtime.sbuffer; - int totpoints = gpd->runtime.sbuffer_size; - if (totpoints < 3) { - return NULL; - } - - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ARegion *ar = draw_ctx->ar; - ToolSettings *ts = scene->toolsettings; - Object *ob = draw_ctx->obact; - - /* get origin to reproject point */ - float origin[3]; - bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); - ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); - - int tot_triangles = totpoints - 2; - /* allocate memory for temporary areas */ - uint (*tmp_triangles)[3] = MEM_mallocN(sizeof(*tmp_triangles) * tot_triangles, __func__); - float (*points2d)[2] = MEM_mallocN(sizeof(*points2d) * totpoints, __func__); - - /* Convert points to array and triangulate - * Here a cache is not used because while drawing the information changes all the time, so the cache - * would be recalculated constantly, so it is better to do direct calculation for each function call - */ - for (int i = 0; i < totpoints; i++) { - const tGPspoint *pt = &points[i]; - points2d[i][0] = pt->x; - points2d[i][1] = pt->y; - } - BLI_polyfill_calc(points2d, (uint)totpoints, 0, tmp_triangles); - - static GPUVertFormat format = { 0 }; - static uint pos_id, color_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - - /* draw triangulation data */ - if (tot_triangles > 0) { - GPU_vertbuf_data_alloc(vbo, tot_triangles * 3); - - const tGPspoint *tpt; - bGPDspoint pt; - - int idx = 0; - for (int i = 0; i < tot_triangles; i++) { - for (int j = 0; j < 3; j++) { - tpt = &points[tmp_triangles[i][j]]; - ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); - GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt.x); - GPU_vertbuf_attr_set(vbo, color_id, idx, gpd->runtime.sfill); - idx++; - } - } - } - - /* clear memory */ - if (tmp_triangles) { - MEM_freeN(tmp_triangles); - } - if (points2d) { - MEM_freeN(points2d); - } - - return GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + if (gpd == NULL) { + return NULL; + } + + const tGPspoint *points = gpd->runtime.sbuffer; + int totpoints = gpd->runtime.sbuffer_size; + if (totpoints < 3) { + return NULL; + } + + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ARegion *ar = draw_ctx->ar; + ToolSettings *ts = scene->toolsettings; + Object *ob = draw_ctx->obact; + + /* get origin to reproject point */ + float origin[3]; + bGPDlayer *gpl = BKE_gpencil_layer_getactive(gpd); + ED_gp_get_drawing_reference(scene, ob, gpl, ts->gpencil_v3d_align, origin); + + int tot_triangles = totpoints - 2; + /* allocate memory for temporary areas */ + uint(*tmp_triangles)[3] = MEM_mallocN(sizeof(*tmp_triangles) * tot_triangles, __func__); + float(*points2d)[2] = MEM_mallocN(sizeof(*points2d) * totpoints, __func__); + + /* Convert points to array and triangulate + * Here a cache is not used because while drawing the information changes all the time, so the cache + * would be recalculated constantly, so it is better to do direct calculation for each function call + */ + for (int i = 0; i < totpoints; i++) { + const tGPspoint *pt = &points[i]; + points2d[i][0] = pt->x; + points2d[i][1] = pt->y; + } + BLI_polyfill_calc(points2d, (uint)totpoints, 0, tmp_triangles); + + static GPUVertFormat format = {0}; + static uint pos_id, color_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + + /* draw triangulation data */ + if (tot_triangles > 0) { + GPU_vertbuf_data_alloc(vbo, tot_triangles * 3); + + const tGPspoint *tpt; + bGPDspoint pt; + + int idx = 0; + for (int i = 0; i < tot_triangles; i++) { + for (int j = 0; j < 3; j++) { + tpt = &points[tmp_triangles[i][j]]; + ED_gpencil_tpoint_to_point(ar, origin, tpt, &pt); + GPU_vertbuf_attr_set(vbo, pos_id, idx, &pt.x); + GPU_vertbuf_attr_set(vbo, color_id, idx, gpd->runtime.sfill); + idx++; + } + } + } + + /* clear memory */ + if (tmp_triangles) { + MEM_freeN(tmp_triangles); + } + if (points2d) { + MEM_freeN(points2d); + } + + return GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); } /* Draw selected verts for strokes being edited */ -void DRW_gpencil_get_edit_geom(struct GpencilBatchCacheElem *be, bGPDstroke *gps, float alpha, short dflag) +void DRW_gpencil_get_edit_geom(struct GpencilBatchCacheElem *be, + bGPDstroke *gps, + float alpha, + short dflag) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Object *ob = draw_ctx->obact; - bGPdata *gpd = ob->data; - const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); - - int vgindex = ob->actdef - 1; - if (!BLI_findlink(&ob->defbase, vgindex)) { - vgindex = -1; - } - - /* Get size of verts: - * - The selected state needs to be larger than the unselected state so that - * they stand out more. - * - We use the theme setting for size of the unselected verts - */ - float bsize = UI_GetThemeValuef(TH_GP_VERTEX_SIZE); - float vsize; - if ((int)bsize > 8) { - vsize = 10.0f; - bsize = 8.0f; - } - else { - vsize = bsize + 2; - } - - /* for now, we assume that the base color of the points is not too close to the real color */ - float selectColor[4]; - UI_GetThemeColor3fv(TH_GP_VERTEX_SELECT, selectColor); - selectColor[3] = alpha; - - float unselectColor[4]; - UI_GetThemeColor3fv(TH_GP_VERTEX, unselectColor); - unselectColor[3] = alpha; - - if (be->vbo == NULL) { - be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - be->thickness_id = GPU_vertformat_attr_add(&be->format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - - be->vbo = GPU_vertbuf_create_with_format(&be->format); - GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); - be->vbo_len = 0; - } - gpencil_vbo_ensure_size(be, gps->totpoints); - - /* Draw start and end point differently if enabled stroke direction hint */ - bool show_direction_hint = (dflag & GP_DATA_SHOW_DIRECTION) && (gps->totpoints > 1); - - /* Draw all the stroke points (selected or not) */ - bGPDspoint *pt = gps->points; - MDeformVert *dvert = gps->dvert; - - float fcolor[4]; - float fsize = 0; - for (int i = 0; i < gps->totpoints; i++, pt++) { - /* weight paint */ - if (is_weight_paint) { - float weight = (dvert && dvert->dw && (vgindex > -1)) ? defvert_find_weight(dvert, vgindex) : 0.0f; - float hue = 2.0f * (1.0f - weight) / 3.0f; - hsv_to_rgb(hue, 1.0f, 1.0f, &selectColor[0], &selectColor[1], &selectColor[2]); - selectColor[3] = 1.0f; - copy_v4_v4(fcolor, selectColor); - fsize = vsize; - } - else { - if (show_direction_hint && i == 0) { - /* start point in green bigger */ - ARRAY_SET_ITEMS(fcolor, 0.0f, 1.0f, 0.0f, 1.0f); - fsize = vsize + 4; - } - else if (show_direction_hint && (i == gps->totpoints - 1)) { - /* end point in red smaller */ - ARRAY_SET_ITEMS(fcolor, 1.0f, 0.0f, 0.0f, 1.0f); - fsize = vsize + 1; - } - else if (pt->flag & GP_SPOINT_SELECT) { - copy_v4_v4(fcolor, selectColor); - fsize = vsize; - } - else { - copy_v4_v4(fcolor, unselectColor); - fsize = bsize; - } - } - - GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, fcolor); - GPU_vertbuf_attr_set(be->vbo, be->thickness_id, be->vbo_len, &fsize); - GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); - be->vbo_len++; - if (gps->dvert != NULL) { - dvert++; - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Object *ob = draw_ctx->obact; + bGPdata *gpd = ob->data; + const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); + + int vgindex = ob->actdef - 1; + if (!BLI_findlink(&ob->defbase, vgindex)) { + vgindex = -1; + } + + /* Get size of verts: + * - The selected state needs to be larger than the unselected state so that + * they stand out more. + * - We use the theme setting for size of the unselected verts + */ + float bsize = UI_GetThemeValuef(TH_GP_VERTEX_SIZE); + float vsize; + if ((int)bsize > 8) { + vsize = 10.0f; + bsize = 8.0f; + } + else { + vsize = bsize + 2; + } + + /* for now, we assume that the base color of the points is not too close to the real color */ + float selectColor[4]; + UI_GetThemeColor3fv(TH_GP_VERTEX_SELECT, selectColor); + selectColor[3] = alpha; + + float unselectColor[4]; + UI_GetThemeColor3fv(TH_GP_VERTEX, unselectColor); + unselectColor[3] = alpha; + + if (be->vbo == NULL) { + be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + be->thickness_id = GPU_vertformat_attr_add( + &be->format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + + be->vbo = GPU_vertbuf_create_with_format(&be->format); + GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); + be->vbo_len = 0; + } + gpencil_vbo_ensure_size(be, gps->totpoints); + + /* Draw start and end point differently if enabled stroke direction hint */ + bool show_direction_hint = (dflag & GP_DATA_SHOW_DIRECTION) && (gps->totpoints > 1); + + /* Draw all the stroke points (selected or not) */ + bGPDspoint *pt = gps->points; + MDeformVert *dvert = gps->dvert; + + float fcolor[4]; + float fsize = 0; + for (int i = 0; i < gps->totpoints; i++, pt++) { + /* weight paint */ + if (is_weight_paint) { + float weight = (dvert && dvert->dw && (vgindex > -1)) ? defvert_find_weight(dvert, vgindex) : + 0.0f; + float hue = 2.0f * (1.0f - weight) / 3.0f; + hsv_to_rgb(hue, 1.0f, 1.0f, &selectColor[0], &selectColor[1], &selectColor[2]); + selectColor[3] = 1.0f; + copy_v4_v4(fcolor, selectColor); + fsize = vsize; + } + else { + if (show_direction_hint && i == 0) { + /* start point in green bigger */ + ARRAY_SET_ITEMS(fcolor, 0.0f, 1.0f, 0.0f, 1.0f); + fsize = vsize + 4; + } + else if (show_direction_hint && (i == gps->totpoints - 1)) { + /* end point in red smaller */ + ARRAY_SET_ITEMS(fcolor, 1.0f, 0.0f, 0.0f, 1.0f); + fsize = vsize + 1; + } + else if (pt->flag & GP_SPOINT_SELECT) { + copy_v4_v4(fcolor, selectColor); + fsize = vsize; + } + else { + copy_v4_v4(fcolor, unselectColor); + fsize = bsize; + } + } + + GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, fcolor); + GPU_vertbuf_attr_set(be->vbo, be->thickness_id, be->vbo_len, &fsize); + GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); + be->vbo_len++; + if (gps->dvert != NULL) { + dvert++; + } + } } /* Draw lines for strokes being edited */ -void DRW_gpencil_get_edlin_geom(struct GpencilBatchCacheElem *be, bGPDstroke *gps, float alpha, short UNUSED(dflag)) +void DRW_gpencil_get_edlin_geom(struct GpencilBatchCacheElem *be, + bGPDstroke *gps, + float alpha, + short UNUSED(dflag)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Object *ob = draw_ctx->obact; - bGPdata *gpd = ob->data; - const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); - - int vgindex = ob->actdef - 1; - if (!BLI_findlink(&ob->defbase, vgindex)) { - vgindex = -1; - } - - float selectColor[4]; - UI_GetThemeColor3fv(TH_GP_VERTEX_SELECT, selectColor); - selectColor[3] = alpha; - float linecolor[4]; - copy_v4_v4(linecolor, gpd->line_color); - - if (be->vbo == NULL) { - be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - - be->vbo = GPU_vertbuf_create_with_format(&be->format); - GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); - be->vbo_len = 0; - } - gpencil_vbo_ensure_size(be, gps->totpoints); - - /* Draw all the stroke lines (selected or not) */ - bGPDspoint *pt = gps->points; - MDeformVert *dvert = gps->dvert; - - float fcolor[4]; - for (int i = 0; i < gps->totpoints; i++, pt++) { - /* weight paint */ - if (is_weight_paint) { - float weight = (dvert && dvert->dw && (vgindex > -1)) ? defvert_find_weight(dvert, vgindex) : 0.0f; - float hue = 2.0f * (1.0f - weight) / 3.0f; - hsv_to_rgb(hue, 1.0f, 1.0f, &selectColor[0], &selectColor[1], &selectColor[2]); - selectColor[3] = 1.0f; - copy_v4_v4(fcolor, selectColor); - } - else { - if (pt->flag & GP_SPOINT_SELECT) { - copy_v4_v4(fcolor, selectColor); - } - else { - copy_v4_v4(fcolor, linecolor); - } - } - - GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, fcolor); - GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); - be->vbo_len++; - - if (gps->dvert != NULL) { - dvert++; - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Object *ob = draw_ctx->obact; + bGPdata *gpd = ob->data; + const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); + + int vgindex = ob->actdef - 1; + if (!BLI_findlink(&ob->defbase, vgindex)) { + vgindex = -1; + } + + float selectColor[4]; + UI_GetThemeColor3fv(TH_GP_VERTEX_SELECT, selectColor); + selectColor[3] = alpha; + float linecolor[4]; + copy_v4_v4(linecolor, gpd->line_color); + + if (be->vbo == NULL) { + be->pos_id = GPU_vertformat_attr_add(&be->format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + be->color_id = GPU_vertformat_attr_add(&be->format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + + be->vbo = GPU_vertbuf_create_with_format(&be->format); + GPU_vertbuf_data_alloc(be->vbo, be->tot_vertex); + be->vbo_len = 0; + } + gpencil_vbo_ensure_size(be, gps->totpoints); + + /* Draw all the stroke lines (selected or not) */ + bGPDspoint *pt = gps->points; + MDeformVert *dvert = gps->dvert; + + float fcolor[4]; + for (int i = 0; i < gps->totpoints; i++, pt++) { + /* weight paint */ + if (is_weight_paint) { + float weight = (dvert && dvert->dw && (vgindex > -1)) ? defvert_find_weight(dvert, vgindex) : + 0.0f; + float hue = 2.0f * (1.0f - weight) / 3.0f; + hsv_to_rgb(hue, 1.0f, 1.0f, &selectColor[0], &selectColor[1], &selectColor[2]); + selectColor[3] = 1.0f; + copy_v4_v4(fcolor, selectColor); + } + else { + if (pt->flag & GP_SPOINT_SELECT) { + copy_v4_v4(fcolor, selectColor); + } + else { + copy_v4_v4(fcolor, linecolor); + } + } + + GPU_vertbuf_attr_set(be->vbo, be->color_id, be->vbo_len, fcolor); + GPU_vertbuf_attr_set(be->vbo, be->pos_id, be->vbo_len, &pt->x); + be->vbo_len++; + + if (gps->dvert != NULL) { + dvert++; + } + } } -static void set_grid_point( - GPUVertBuf *vbo, int idx, float col_grid[4], - uint pos_id, uint color_id, - float v1, float v2, const int axis) +static void set_grid_point(GPUVertBuf *vbo, + int idx, + float col_grid[4], + uint pos_id, + uint color_id, + float v1, + float v2, + const int axis) { - GPU_vertbuf_attr_set(vbo, color_id, idx, col_grid); - - float pos[3]; - /* Set the grid in the selected axis */ - switch (axis) { - case GP_LOCKAXIS_X: - { - ARRAY_SET_ITEMS(pos, 0.0f, v1, v2); - break; - } - case GP_LOCKAXIS_Y: - { - ARRAY_SET_ITEMS(pos, v1, 0.0f, v2); - break; - } - case GP_LOCKAXIS_Z: - default: /* view aligned */ - { - ARRAY_SET_ITEMS(pos, v1, v2, 0.0f); - break; - } - } - - GPU_vertbuf_attr_set(vbo, pos_id, idx, pos); + GPU_vertbuf_attr_set(vbo, color_id, idx, col_grid); + + float pos[3]; + /* Set the grid in the selected axis */ + switch (axis) { + case GP_LOCKAXIS_X: { + ARRAY_SET_ITEMS(pos, 0.0f, v1, v2); + break; + } + case GP_LOCKAXIS_Y: { + ARRAY_SET_ITEMS(pos, v1, 0.0f, v2); + break; + } + case GP_LOCKAXIS_Z: + default: /* view aligned */ + { + ARRAY_SET_ITEMS(pos, v1, v2, 0.0f); + break; + } + } + + GPU_vertbuf_attr_set(vbo, pos_id, idx, pos); } /* Draw grid lines */ GPUBatch *DRW_gpencil_get_grid(Object *ob) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ToolSettings *ts = scene->toolsettings; - View3D *v3d = draw_ctx->v3d; - bGPdata *gpd = (bGPdata *)ob->data; - const bool do_center = (gpd->grid.lines <= 0) ? false : true; - - float col_grid[4]; - - /* verify we have something to draw and valid values */ - if (gpd->grid.scale[0] == 0.0f) { - gpd->grid.scale[0] = 1.0f; - } - if (gpd->grid.scale[1] == 0.0f) { - gpd->grid.scale[1] = 1.0f; - } - - if (v3d->overlay.gpencil_grid_opacity < 0.1f) { - v3d->overlay.gpencil_grid_opacity = 0.1f; - } - - /* set color */ - copy_v3_v3(col_grid, gpd->grid.color); - col_grid[3] = v3d->overlay.gpencil_grid_opacity; - - const int axis = ts->gp_sculpt.lock_axis; - - const char *grid_unit = NULL; - const int gridlines = (gpd->grid.lines <= 0) ? 1 : gpd->grid.lines; - const float grid_w = gpd->grid.scale[0] * ED_scene_grid_scale(scene, &grid_unit); - const float grid_h = gpd->grid.scale[1] * ED_scene_grid_scale(scene, &grid_unit); - const float space_w = (grid_w / gridlines); - const float space_h = (grid_h / gridlines); - const float offset[2] = { gpd->grid.offset[0], gpd->grid.offset[1] }; - - const uint vertex_len = 2 * (gridlines * 4 + 2); - - static GPUVertFormat format = { 0 }; - static uint pos_id, color_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, vertex_len); - - int idx = 0; - - for (int a = 1; a <= gridlines; a++) { - const float line_w = a * space_w; - const float line_h = a * space_h; - - set_grid_point(vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], -line_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], -line_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], +line_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], +line_h + offset[1], axis); - idx++; - - set_grid_point(vbo, idx, col_grid, pos_id, color_id, -line_w + offset[0], -grid_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, -line_w + offset[0], +grid_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, +line_w + offset[0], -grid_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, +line_w + offset[0], +grid_h + offset[1], axis); - idx++; - } - /* center lines */ - if (do_center) { - set_grid_point(vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], 0.0f + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], 0.0f + offset[1], axis); - idx++; - - set_grid_point(vbo, idx, col_grid, pos_id, color_id, 0.0f + offset[0], -grid_h + offset[1], axis); - idx++; - set_grid_point(vbo, idx, col_grid, pos_id, color_id, 0.0f + offset[0], +grid_h + offset[1], axis); - idx++; - } - return GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ToolSettings *ts = scene->toolsettings; + View3D *v3d = draw_ctx->v3d; + bGPdata *gpd = (bGPdata *)ob->data; + const bool do_center = (gpd->grid.lines <= 0) ? false : true; + + float col_grid[4]; + + /* verify we have something to draw and valid values */ + if (gpd->grid.scale[0] == 0.0f) { + gpd->grid.scale[0] = 1.0f; + } + if (gpd->grid.scale[1] == 0.0f) { + gpd->grid.scale[1] = 1.0f; + } + + if (v3d->overlay.gpencil_grid_opacity < 0.1f) { + v3d->overlay.gpencil_grid_opacity = 0.1f; + } + + /* set color */ + copy_v3_v3(col_grid, gpd->grid.color); + col_grid[3] = v3d->overlay.gpencil_grid_opacity; + + const int axis = ts->gp_sculpt.lock_axis; + + const char *grid_unit = NULL; + const int gridlines = (gpd->grid.lines <= 0) ? 1 : gpd->grid.lines; + const float grid_w = gpd->grid.scale[0] * ED_scene_grid_scale(scene, &grid_unit); + const float grid_h = gpd->grid.scale[1] * ED_scene_grid_scale(scene, &grid_unit); + const float space_w = (grid_w / gridlines); + const float space_h = (grid_h / gridlines); + const float offset[2] = {gpd->grid.offset[0], gpd->grid.offset[1]}; + + const uint vertex_len = 2 * (gridlines * 4 + 2); + + static GPUVertFormat format = {0}; + static uint pos_id, color_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, vertex_len); + + int idx = 0; + + for (int a = 1; a <= gridlines; a++) { + const float line_w = a * space_w; + const float line_h = a * space_h; + + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], -line_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], -line_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], +line_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], +line_h + offset[1], axis); + idx++; + + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, -line_w + offset[0], -grid_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, -line_w + offset[0], +grid_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, +line_w + offset[0], -grid_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, +line_w + offset[0], +grid_h + offset[1], axis); + idx++; + } + /* center lines */ + if (do_center) { + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, -grid_w + offset[0], 0.0f + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, +grid_w + offset[0], 0.0f + offset[1], axis); + idx++; + + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, 0.0f + offset[0], -grid_h + offset[1], axis); + idx++; + set_grid_point( + vbo, idx, col_grid, pos_id, color_id, 0.0f + offset[0], +grid_h + offset[1], axis); + idx++; + } + return GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); } diff --git a/source/blender/draw/engines/gpencil/gpencil_draw_utils.c b/source/blender/draw/engines/gpencil/gpencil_draw_utils.c index 8ecee86d92b..320b621f903 100644 --- a/source/blender/draw/engines/gpencil/gpencil_draw_utils.c +++ b/source/blender/draw/engines/gpencil/gpencil_draw_utils.c @@ -61,1010 +61,1060 @@ #define TEXTURE 4 #define PATTERN 5 -#define GP_SET_SRC_GPS(src_gps) if (src_gps) src_gps = src_gps->next +#define GP_SET_SRC_GPS(src_gps) \ + if (src_gps) \ + src_gps = src_gps->next /* Get number of vertex for using in GPU VBOs */ -static void gpencil_calc_vertex( - GPENCIL_StorageList *stl, tGPencilObjectCache *cache_ob, - GpencilBatchCache *cache, bGPdata *gpd, - int cfra_eval) +static void gpencil_calc_vertex(GPENCIL_StorageList *stl, + tGPencilObjectCache *cache_ob, + GpencilBatchCache *cache, + bGPdata *gpd, + int cfra_eval) { - if (!cache->is_dirty) { - return; - } - - Object *ob = cache_ob->ob; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const bool main_onion = draw_ctx->v3d != NULL ? (draw_ctx->v3d->gp_flag & V3D_GP_SHOW_ONION_SKIN) : true; - const bool playing = stl->storage->is_playing; - const bool overlay = draw_ctx->v3d != NULL ? (bool)((draw_ctx->v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; - const bool do_onion = (bool)((gpd->flag & GP_DATA_STROKE_WEIGHTMODE) == 0) && - overlay && main_onion && DRW_gpencil_onion_active(gpd) && !playing; - - const bool time_remap = BKE_gpencil_has_time_modifiers(ob); - const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); - - cache_ob->tot_vertex = 0; - cache_ob->tot_triangles = 0; - - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - bGPDframe *init_gpf = NULL; - const bool is_onion = ((do_onion) && (gpl->onion_flag & GP_LAYER_ONIONSKIN)); - if (gpl->flag & GP_LAYER_HIDE) { - continue; - } - - /* if multiedit or onion skin need to count all frames of the layer */ - if ((is_multiedit) || (is_onion)) { - init_gpf = gpl->frames.first; - } - else { - /* verify time modifiers */ - if ((time_remap) && (!stl->storage->simplify_modif)) { - int remap_cfra = BKE_gpencil_time_modifier( - draw_ctx->depsgraph, draw_ctx->scene, ob, gpl, cfra_eval, - stl->storage->is_render); - init_gpf = BKE_gpencil_layer_getframe(gpl, remap_cfra, GP_GETFRAME_USE_PREV); - } - else { - init_gpf = gpl->actframe; - } - } - - if (init_gpf == NULL) { - continue; - } - - for (bGPDframe *gpf = init_gpf; gpf; gpf = gpf->next) { - for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { - cache_ob->tot_vertex += gps->totpoints + 3; - cache_ob->tot_triangles += gps->totpoints - 1; - } - if ((!is_multiedit) && (!is_onion)) { - break; - } - } - } - - cache->b_fill.tot_vertex = cache_ob->tot_triangles * 3; - cache->b_stroke.tot_vertex = cache_ob->tot_vertex; - cache->b_point.tot_vertex = cache_ob->tot_vertex; - cache->b_edit.tot_vertex = cache_ob->tot_vertex; - cache->b_edlin.tot_vertex = cache_ob->tot_vertex; - - /* some modifiers can change the number of points */ - int factor = 0; - GpencilModifierData *md; - for (md = ob->greasepencil_modifiers.first; md; md = md->next) { - const GpencilModifierTypeInfo *mti = BKE_gpencil_modifierType_getInfo(md->type); - /* only modifiers that change size */ - if (mti && mti->getDuplicationFactor) { - factor = mti->getDuplicationFactor(md); - - cache->b_fill.tot_vertex *= factor; - cache->b_stroke.tot_vertex *= factor; - cache->b_point.tot_vertex *= factor; - cache->b_edit.tot_vertex *= factor; - cache->b_edlin.tot_vertex *= factor; - } - } + if (!cache->is_dirty) { + return; + } + + Object *ob = cache_ob->ob; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const bool main_onion = draw_ctx->v3d != NULL ? + (draw_ctx->v3d->gp_flag & V3D_GP_SHOW_ONION_SKIN) : + true; + const bool playing = stl->storage->is_playing; + const bool overlay = draw_ctx->v3d != NULL ? + (bool)((draw_ctx->v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : + true; + const bool do_onion = (bool)((gpd->flag & GP_DATA_STROKE_WEIGHTMODE) == 0) && overlay && + main_onion && DRW_gpencil_onion_active(gpd) && !playing; + + const bool time_remap = BKE_gpencil_has_time_modifiers(ob); + const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); + + cache_ob->tot_vertex = 0; + cache_ob->tot_triangles = 0; + + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + bGPDframe *init_gpf = NULL; + const bool is_onion = ((do_onion) && (gpl->onion_flag & GP_LAYER_ONIONSKIN)); + if (gpl->flag & GP_LAYER_HIDE) { + continue; + } + + /* if multiedit or onion skin need to count all frames of the layer */ + if ((is_multiedit) || (is_onion)) { + init_gpf = gpl->frames.first; + } + else { + /* verify time modifiers */ + if ((time_remap) && (!stl->storage->simplify_modif)) { + int remap_cfra = BKE_gpencil_time_modifier( + draw_ctx->depsgraph, draw_ctx->scene, ob, gpl, cfra_eval, stl->storage->is_render); + init_gpf = BKE_gpencil_layer_getframe(gpl, remap_cfra, GP_GETFRAME_USE_PREV); + } + else { + init_gpf = gpl->actframe; + } + } + + if (init_gpf == NULL) { + continue; + } + + for (bGPDframe *gpf = init_gpf; gpf; gpf = gpf->next) { + for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { + cache_ob->tot_vertex += gps->totpoints + 3; + cache_ob->tot_triangles += gps->totpoints - 1; + } + if ((!is_multiedit) && (!is_onion)) { + break; + } + } + } + + cache->b_fill.tot_vertex = cache_ob->tot_triangles * 3; + cache->b_stroke.tot_vertex = cache_ob->tot_vertex; + cache->b_point.tot_vertex = cache_ob->tot_vertex; + cache->b_edit.tot_vertex = cache_ob->tot_vertex; + cache->b_edlin.tot_vertex = cache_ob->tot_vertex; + + /* some modifiers can change the number of points */ + int factor = 0; + GpencilModifierData *md; + for (md = ob->greasepencil_modifiers.first; md; md = md->next) { + const GpencilModifierTypeInfo *mti = BKE_gpencil_modifierType_getInfo(md->type); + /* only modifiers that change size */ + if (mti && mti->getDuplicationFactor) { + factor = mti->getDuplicationFactor(md); + + cache->b_fill.tot_vertex *= factor; + cache->b_stroke.tot_vertex *= factor; + cache->b_point.tot_vertex *= factor; + cache->b_edit.tot_vertex *= factor; + cache->b_edlin.tot_vertex *= factor; + } + } } /* Helper for doing all the checks on whether a stroke can be drawn */ -static bool gpencil_can_draw_stroke( - struct MaterialGPencilStyle *gp_style, const bGPDstroke *gps, - const bool onion, const bool is_mat_preview) +static bool gpencil_can_draw_stroke(struct MaterialGPencilStyle *gp_style, + const bGPDstroke *gps, + const bool onion, + const bool is_mat_preview) { - /* skip stroke if it doesn't have any valid data */ - if ((gps->points == NULL) || (gps->totpoints < 1) || (gp_style == NULL)) { - return false; - } - - /* if mat preview render always visible */ - if (is_mat_preview) { - return true; - } - - /* check if the color is visible */ - if ((gp_style == NULL) || - (gp_style->flag & GP_STYLE_COLOR_HIDE) || - (onion && (gp_style->flag & GP_STYLE_COLOR_ONIONSKIN))) - { - return false; - } - - /* stroke can be drawn */ - return true; + /* skip stroke if it doesn't have any valid data */ + if ((gps->points == NULL) || (gps->totpoints < 1) || (gp_style == NULL)) { + return false; + } + + /* if mat preview render always visible */ + if (is_mat_preview) { + return true; + } + + /* check if the color is visible */ + if ((gp_style == NULL) || (gp_style->flag & GP_STYLE_COLOR_HIDE) || + (onion && (gp_style->flag & GP_STYLE_COLOR_ONIONSKIN))) { + return false; + } + + /* stroke can be drawn */ + return true; } /* calc bounding box in 2d using flat projection data */ -static void gpencil_calc_2d_bounding_box( - const float(*points2d)[2], int totpoints, float minv[2], float maxv[2]) +static void gpencil_calc_2d_bounding_box(const float (*points2d)[2], + int totpoints, + float minv[2], + float maxv[2]) { - minv[0] = points2d[0][0]; - minv[1] = points2d[0][1]; - maxv[0] = points2d[0][0]; - maxv[1] = points2d[0][1]; - - for (int i = 1; i < totpoints; i++) { - /* min */ - if (points2d[i][0] < minv[0]) { - minv[0] = points2d[i][0]; - } - if (points2d[i][1] < minv[1]) { - minv[1] = points2d[i][1]; - } - /* max */ - if (points2d[i][0] > maxv[0]) { - maxv[0] = points2d[i][0]; - } - if (points2d[i][1] > maxv[1]) { - maxv[1] = points2d[i][1]; - } - } - /* use a perfect square */ - if (maxv[0] > maxv[1]) { - maxv[1] = maxv[0]; - } - else { - maxv[0] = maxv[1]; - } + minv[0] = points2d[0][0]; + minv[1] = points2d[0][1]; + maxv[0] = points2d[0][0]; + maxv[1] = points2d[0][1]; + + for (int i = 1; i < totpoints; i++) { + /* min */ + if (points2d[i][0] < minv[0]) { + minv[0] = points2d[i][0]; + } + if (points2d[i][1] < minv[1]) { + minv[1] = points2d[i][1]; + } + /* max */ + if (points2d[i][0] > maxv[0]) { + maxv[0] = points2d[i][0]; + } + if (points2d[i][1] > maxv[1]) { + maxv[1] = points2d[i][1]; + } + } + /* use a perfect square */ + if (maxv[0] > maxv[1]) { + maxv[1] = maxv[0]; + } + else { + maxv[0] = maxv[1]; + } } /* calc texture coordinates using flat projected points */ static void gpencil_calc_stroke_fill_uv( - const float(*points2d)[2], int totpoints, float minv[2], float maxv[2], float(*r_uv)[2]) + const float (*points2d)[2], int totpoints, float minv[2], float maxv[2], float (*r_uv)[2]) { - float d[2]; - d[0] = maxv[0] - minv[0]; - d[1] = maxv[1] - minv[1]; - for (int i = 0; i < totpoints; i++) { - r_uv[i][0] = (points2d[i][0] - minv[0]) / d[0]; - r_uv[i][1] = (points2d[i][1] - minv[1]) / d[1]; - } + float d[2]; + d[0] = maxv[0] - minv[0]; + d[1] = maxv[1] - minv[1]; + for (int i = 0; i < totpoints; i++) { + r_uv[i][0] = (points2d[i][0] - minv[0]) / d[0]; + r_uv[i][1] = (points2d[i][1] - minv[1]) / d[1]; + } } /* recalc the internal geometry caches for fill and uvs */ -static void DRW_gpencil_recalc_geometry_caches( - Object *ob, bGPDlayer *gpl, MaterialGPencilStyle *gp_style, bGPDstroke *gps) +static void DRW_gpencil_recalc_geometry_caches(Object *ob, + bGPDlayer *gpl, + MaterialGPencilStyle *gp_style, + bGPDstroke *gps) { - if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { - /* Calculate triangles cache for filling area (must be done only after changes) */ - if ((gps->tot_triangles == 0) || (gps->triangles == NULL)) { - if ((gps->totpoints > 2) && - ((gp_style->fill_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || - (gp_style->fill_style > 0) || (gpl->blend_mode != eGplBlendMode_Normal))) - { - DRW_gpencil_triangulate_stroke_fill(ob, gps); - } - } - - /* calc uv data along the stroke */ - ED_gpencil_calc_stroke_uv(ob, gps); - - /* clear flag */ - gps->flag &= ~GP_STROKE_RECALC_GEOMETRY; - } + if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { + /* Calculate triangles cache for filling area (must be done only after changes) */ + if ((gps->tot_triangles == 0) || (gps->triangles == NULL)) { + if ((gps->totpoints > 2) && + ((gp_style->fill_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || (gp_style->fill_style > 0) || + (gpl->blend_mode != eGplBlendMode_Normal))) { + DRW_gpencil_triangulate_stroke_fill(ob, gps); + } + } + + /* calc uv data along the stroke */ + ED_gpencil_calc_stroke_uv(ob, gps); + + /* clear flag */ + gps->flag &= ~GP_STROKE_RECALC_GEOMETRY; + } } -static void set_wireframe_color( - Object *ob, bGPDlayer *gpl, View3D *v3d, - GPENCIL_StorageList *stl, - MaterialGPencilStyle *gp_style, int id, const bool is_fill) +static void set_wireframe_color(Object *ob, + bGPDlayer *gpl, + View3D *v3d, + GPENCIL_StorageList *stl, + MaterialGPencilStyle *gp_style, + int id, + const bool is_fill) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - World *world = draw_ctx->scene->world; - - float color[4]; - if (((gp_style->stroke_rgba[3] < GPENCIL_ALPHA_OPACITY_THRESH) || - (((gp_style->flag & GP_STYLE_STROKE_SHOW) == 0))) && - (gp_style->fill_rgba[3] >= GPENCIL_ALPHA_OPACITY_THRESH)) - { - copy_v4_v4(color, gp_style->fill_rgba); - } - else { - copy_v4_v4(color, gp_style->stroke_rgba); - } - float alpha = color[3]; - - /* wire color */ - if ((v3d) && (id > -1)) { - const char type = ( - (stl->shgroups[id].shading_type[0] == OB_WIRE) ? - v3d->shading.wire_color_type : - v3d->shading.color_type); - /* if fill and wire, use background color */ - if ((is_fill) && (stl->shgroups[id].shading_type[0] == OB_WIRE)) { - if (v3d->shading.background_type == V3D_SHADING_BACKGROUND_THEME) { - UI_GetThemeColor4fv(TH_BACK, stl->shgroups[id].wire_color); - stl->shgroups[id].wire_color[3] = 1.0f; - } - else if (v3d->shading.background_type == V3D_SHADING_BACKGROUND_WORLD) { - color[0] = world->horr; - color[1] = world->horg; - color[2] = world->horb; - color[3] = 1.0f; - linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); - } - else { - copy_v3_v3(color, v3d->shading.background_color); - color[3] = 1.0f; - linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); - } - return; - } - - /* strokes */ - switch (type) { - case V3D_SHADING_SINGLE_COLOR: - { - if (stl->shgroups[id].shading_type[0] == OB_WIRE) { - UI_GetThemeColor4fv(TH_WIRE, color); - } - else { - copy_v3_v3(color, v3d->shading.single_color); - } - color[3] = alpha; - linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); - break; - } - case V3D_SHADING_OBJECT_COLOR: - { - copy_v4_v4(color, ob->color); - color[3] = alpha; - linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); - break; - } - case V3D_SHADING_RANDOM_COLOR: - { - uint gpl_hash = 1; - uint ob_hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); - if (gpl) { - gpl_hash = BLI_ghashutil_strhash_p_murmur(gpl->info); - } - - float hue = BLI_hash_int_01(ob_hash * gpl_hash); - float hsv[3] = { hue, 0.40f, 0.8f }; - float wire_col[3]; - hsv_to_rgb_v(hsv, &wire_col[0]); - - stl->shgroups[id].wire_color[0] = wire_col[0]; - stl->shgroups[id].wire_color[1] = wire_col[1]; - stl->shgroups[id].wire_color[2] = wire_col[2]; - stl->shgroups[id].wire_color[3] = alpha; - break; - } - default: - { - copy_v4_v4(stl->shgroups[id].wire_color, color); - break; - } - } - } - else { - copy_v4_v4(stl->shgroups[id].wire_color, color); - } - - /* if solid, the alpha must be set to 1.0 */ - if (stl->shgroups[id].shading_type[0] == OB_SOLID) { - stl->shgroups[id].wire_color[3] = 1.0f; - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + World *world = draw_ctx->scene->world; + + float color[4]; + if (((gp_style->stroke_rgba[3] < GPENCIL_ALPHA_OPACITY_THRESH) || + (((gp_style->flag & GP_STYLE_STROKE_SHOW) == 0))) && + (gp_style->fill_rgba[3] >= GPENCIL_ALPHA_OPACITY_THRESH)) { + copy_v4_v4(color, gp_style->fill_rgba); + } + else { + copy_v4_v4(color, gp_style->stroke_rgba); + } + float alpha = color[3]; + + /* wire color */ + if ((v3d) && (id > -1)) { + const char type = ((stl->shgroups[id].shading_type[0] == OB_WIRE) ? + v3d->shading.wire_color_type : + v3d->shading.color_type); + /* if fill and wire, use background color */ + if ((is_fill) && (stl->shgroups[id].shading_type[0] == OB_WIRE)) { + if (v3d->shading.background_type == V3D_SHADING_BACKGROUND_THEME) { + UI_GetThemeColor4fv(TH_BACK, stl->shgroups[id].wire_color); + stl->shgroups[id].wire_color[3] = 1.0f; + } + else if (v3d->shading.background_type == V3D_SHADING_BACKGROUND_WORLD) { + color[0] = world->horr; + color[1] = world->horg; + color[2] = world->horb; + color[3] = 1.0f; + linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); + } + else { + copy_v3_v3(color, v3d->shading.background_color); + color[3] = 1.0f; + linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); + } + return; + } + + /* strokes */ + switch (type) { + case V3D_SHADING_SINGLE_COLOR: { + if (stl->shgroups[id].shading_type[0] == OB_WIRE) { + UI_GetThemeColor4fv(TH_WIRE, color); + } + else { + copy_v3_v3(color, v3d->shading.single_color); + } + color[3] = alpha; + linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); + break; + } + case V3D_SHADING_OBJECT_COLOR: { + copy_v4_v4(color, ob->color); + color[3] = alpha; + linearrgb_to_srgb_v4(stl->shgroups[id].wire_color, color); + break; + } + case V3D_SHADING_RANDOM_COLOR: { + uint gpl_hash = 1; + uint ob_hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); + if (gpl) { + gpl_hash = BLI_ghashutil_strhash_p_murmur(gpl->info); + } + + float hue = BLI_hash_int_01(ob_hash * gpl_hash); + float hsv[3] = {hue, 0.40f, 0.8f}; + float wire_col[3]; + hsv_to_rgb_v(hsv, &wire_col[0]); + + stl->shgroups[id].wire_color[0] = wire_col[0]; + stl->shgroups[id].wire_color[1] = wire_col[1]; + stl->shgroups[id].wire_color[2] = wire_col[2]; + stl->shgroups[id].wire_color[3] = alpha; + break; + } + default: { + copy_v4_v4(stl->shgroups[id].wire_color, color); + break; + } + } + } + else { + copy_v4_v4(stl->shgroups[id].wire_color, color); + } + + /* if solid, the alpha must be set to 1.0 */ + if (stl->shgroups[id].shading_type[0] == OB_SOLID) { + stl->shgroups[id].wire_color[3] = 1.0f; + } } /* create shading group for filling */ -static DRWShadingGroup *DRW_gpencil_shgroup_fill_create( - GPENCIL_e_data *e_data, GPENCIL_Data *vedata, DRWPass *pass, - GPUShader *shader, Object *ob, bGPdata *gpd, bGPDlayer *gpl, - MaterialGPencilStyle *gp_style, int id, int shading_type[2]) +static DRWShadingGroup *DRW_gpencil_shgroup_fill_create(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + DRWPass *pass, + GPUShader *shader, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + MaterialGPencilStyle *gp_style, + int id, + int shading_type[2]) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - /* e_data.gpencil_fill_sh */ - DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); - - DRW_shgroup_uniform_vec4(grp, "color2", gp_style->mix_rgba, 1); - - /* set style type */ - switch (gp_style->fill_style) { - case GP_STYLE_FILL_STYLE_SOLID: - stl->shgroups[id].fill_style = SOLID; - break; - case GP_STYLE_FILL_STYLE_GRADIENT: - if (gp_style->gradient_type == GP_STYLE_GRADIENT_LINEAR) { - stl->shgroups[id].fill_style = GRADIENT; - } - else { - stl->shgroups[id].fill_style = RADIAL; - } - break; - case GP_STYLE_FILL_STYLE_CHESSBOARD: - stl->shgroups[id].fill_style = CHESS; - break; - case GP_STYLE_FILL_STYLE_TEXTURE: - if (gp_style->flag & GP_STYLE_FILL_PATTERN) { - stl->shgroups[id].fill_style = PATTERN; - } - else { - stl->shgroups[id].fill_style = TEXTURE; - } - break; - default: - stl->shgroups[id].fill_style = GP_STYLE_FILL_STYLE_SOLID; - break; - } - DRW_shgroup_uniform_int(grp, "fill_type", &stl->shgroups[id].fill_style, 1); - - DRW_shgroup_uniform_float(grp, "mix_factor", &gp_style->mix_factor, 1); - - DRW_shgroup_uniform_float(grp, "gradient_angle", &gp_style->gradient_angle, 1); - DRW_shgroup_uniform_float(grp, "gradient_radius", &gp_style->gradient_radius, 1); - DRW_shgroup_uniform_float(grp, "pattern_gridsize", &gp_style->pattern_gridsize, 1); - DRW_shgroup_uniform_vec2(grp, "gradient_scale", gp_style->gradient_scale, 1); - DRW_shgroup_uniform_vec2(grp, "gradient_shift", gp_style->gradient_shift, 1); - - DRW_shgroup_uniform_float(grp, "texture_angle", &gp_style->texture_angle, 1); - DRW_shgroup_uniform_vec2(grp, "texture_scale", gp_style->texture_scale, 1); - DRW_shgroup_uniform_vec2(grp, "texture_offset", gp_style->texture_offset, 1); - DRW_shgroup_uniform_float(grp, "texture_opacity", &gp_style->texture_opacity, 1); - DRW_shgroup_uniform_float(grp, "layer_opacity", &gpl->opacity, 1); - - stl->shgroups[id].texture_mix = gp_style->flag & GP_STYLE_COLOR_TEX_MIX ? 1 : 0; - DRW_shgroup_uniform_int(grp, "texture_mix", &stl->shgroups[id].texture_mix, 1); - - stl->shgroups[id].texture_flip = gp_style->flag & GP_STYLE_COLOR_FLIP_FILL ? 1 : 0; - DRW_shgroup_uniform_int(grp, "texture_flip", &stl->shgroups[id].texture_flip, 1); - - stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; - DRW_shgroup_uniform_int(grp, "xraymode", &stl->shgroups[id].xray_mode, 1); - DRW_shgroup_uniform_int(grp, "drawmode", (const int *) &gpd->draw_mode, 1); - - /* viewport x-ray */ - stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; - DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); - - /* shading type */ - stl->shgroups[id].shading_type[0] = GPENCIL_USE_SOLID(stl) ? (int)OB_RENDER : shading_type[0]; - if (v3d) { - stl->shgroups[id].shading_type[1] = ( - (stl->shgroups[id].shading_type[0] == OB_WIRE) ? - v3d->shading.wire_color_type : - v3d->shading.color_type); - } - - DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); - - /* wire color */ - set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, true); - DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); - - /* image texture */ - if ((gp_style->flag & GP_STYLE_COLOR_TEX_MIX) || - (gp_style->fill_style & GP_STYLE_FILL_STYLE_TEXTURE)) - { - ImBuf *ibuf; - Image *image = gp_style->ima; - ImageUser iuser = { NULL }; - void *lock; - - iuser.ok = true; - - ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); - - if (ibuf == NULL || ibuf->rect == NULL) { - BKE_image_release_ibuf(image, ibuf, NULL); - } - else { - GPUTexture *texture = GPU_texture_from_blender(gp_style->ima, &iuser, GL_TEXTURE_2D, true); - DRW_shgroup_uniform_texture(grp, "myTexture", texture); - - stl->shgroups[id].texture_clamp = gp_style->flag & GP_STYLE_COLOR_TEX_CLAMP ? 1 : 0; - DRW_shgroup_uniform_int(grp, "texture_clamp", &stl->shgroups[id].texture_clamp, 1); - - BKE_image_release_ibuf(image, ibuf, NULL); - } - } - else { - /* if no texture defined, need a blank texture to avoid errors in draw manager */ - DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); - stl->shgroups[id].texture_clamp = 0; - DRW_shgroup_uniform_int(grp, "texture_clamp", &stl->shgroups[id].texture_clamp, 1); - } - - return grp; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + /* e_data.gpencil_fill_sh */ + DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); + + DRW_shgroup_uniform_vec4(grp, "color2", gp_style->mix_rgba, 1); + + /* set style type */ + switch (gp_style->fill_style) { + case GP_STYLE_FILL_STYLE_SOLID: + stl->shgroups[id].fill_style = SOLID; + break; + case GP_STYLE_FILL_STYLE_GRADIENT: + if (gp_style->gradient_type == GP_STYLE_GRADIENT_LINEAR) { + stl->shgroups[id].fill_style = GRADIENT; + } + else { + stl->shgroups[id].fill_style = RADIAL; + } + break; + case GP_STYLE_FILL_STYLE_CHESSBOARD: + stl->shgroups[id].fill_style = CHESS; + break; + case GP_STYLE_FILL_STYLE_TEXTURE: + if (gp_style->flag & GP_STYLE_FILL_PATTERN) { + stl->shgroups[id].fill_style = PATTERN; + } + else { + stl->shgroups[id].fill_style = TEXTURE; + } + break; + default: + stl->shgroups[id].fill_style = GP_STYLE_FILL_STYLE_SOLID; + break; + } + DRW_shgroup_uniform_int(grp, "fill_type", &stl->shgroups[id].fill_style, 1); + + DRW_shgroup_uniform_float(grp, "mix_factor", &gp_style->mix_factor, 1); + + DRW_shgroup_uniform_float(grp, "gradient_angle", &gp_style->gradient_angle, 1); + DRW_shgroup_uniform_float(grp, "gradient_radius", &gp_style->gradient_radius, 1); + DRW_shgroup_uniform_float(grp, "pattern_gridsize", &gp_style->pattern_gridsize, 1); + DRW_shgroup_uniform_vec2(grp, "gradient_scale", gp_style->gradient_scale, 1); + DRW_shgroup_uniform_vec2(grp, "gradient_shift", gp_style->gradient_shift, 1); + + DRW_shgroup_uniform_float(grp, "texture_angle", &gp_style->texture_angle, 1); + DRW_shgroup_uniform_vec2(grp, "texture_scale", gp_style->texture_scale, 1); + DRW_shgroup_uniform_vec2(grp, "texture_offset", gp_style->texture_offset, 1); + DRW_shgroup_uniform_float(grp, "texture_opacity", &gp_style->texture_opacity, 1); + DRW_shgroup_uniform_float(grp, "layer_opacity", &gpl->opacity, 1); + + stl->shgroups[id].texture_mix = gp_style->flag & GP_STYLE_COLOR_TEX_MIX ? 1 : 0; + DRW_shgroup_uniform_int(grp, "texture_mix", &stl->shgroups[id].texture_mix, 1); + + stl->shgroups[id].texture_flip = gp_style->flag & GP_STYLE_COLOR_FLIP_FILL ? 1 : 0; + DRW_shgroup_uniform_int(grp, "texture_flip", &stl->shgroups[id].texture_flip, 1); + + stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; + DRW_shgroup_uniform_int(grp, "xraymode", &stl->shgroups[id].xray_mode, 1); + DRW_shgroup_uniform_int(grp, "drawmode", (const int *)&gpd->draw_mode, 1); + + /* viewport x-ray */ + stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; + DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); + + /* shading type */ + stl->shgroups[id].shading_type[0] = GPENCIL_USE_SOLID(stl) ? (int)OB_RENDER : shading_type[0]; + if (v3d) { + stl->shgroups[id].shading_type[1] = ((stl->shgroups[id].shading_type[0] == OB_WIRE) ? + v3d->shading.wire_color_type : + v3d->shading.color_type); + } + + DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); + + /* wire color */ + set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, true); + DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); + + /* image texture */ + if ((gp_style->flag & GP_STYLE_COLOR_TEX_MIX) || + (gp_style->fill_style & GP_STYLE_FILL_STYLE_TEXTURE)) { + ImBuf *ibuf; + Image *image = gp_style->ima; + ImageUser iuser = {NULL}; + void *lock; + + iuser.ok = true; + + ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); + + if (ibuf == NULL || ibuf->rect == NULL) { + BKE_image_release_ibuf(image, ibuf, NULL); + } + else { + GPUTexture *texture = GPU_texture_from_blender(gp_style->ima, &iuser, GL_TEXTURE_2D, true); + DRW_shgroup_uniform_texture(grp, "myTexture", texture); + + stl->shgroups[id].texture_clamp = gp_style->flag & GP_STYLE_COLOR_TEX_CLAMP ? 1 : 0; + DRW_shgroup_uniform_int(grp, "texture_clamp", &stl->shgroups[id].texture_clamp, 1); + + BKE_image_release_ibuf(image, ibuf, NULL); + } + } + else { + /* if no texture defined, need a blank texture to avoid errors in draw manager */ + DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); + stl->shgroups[id].texture_clamp = 0; + DRW_shgroup_uniform_int(grp, "texture_clamp", &stl->shgroups[id].texture_clamp, 1); + } + + return grp; } /* check if some onion is enabled */ bool DRW_gpencil_onion_active(bGPdata *gpd) { - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - if (gpl->onion_flag & GP_LAYER_ONIONSKIN) { - return true; - } - } - return false; + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + if (gpl->onion_flag & GP_LAYER_ONIONSKIN) { + return true; + } + } + return false; } /* create shading group for strokes */ -DRWShadingGroup *DRW_gpencil_shgroup_stroke_create( - GPENCIL_e_data *e_data, GPENCIL_Data *vedata, DRWPass *pass, GPUShader *shader, Object *ob, - bGPdata *gpd, bGPDlayer *gpl, bGPDstroke *gps, - MaterialGPencilStyle *gp_style, int id, - bool onion, const float scale, const int shading_type[2]) +DRWShadingGroup *DRW_gpencil_shgroup_stroke_create(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + DRWPass *pass, + GPUShader *shader, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDstroke *gps, + MaterialGPencilStyle *gp_style, + int id, + bool onion, + const float scale, + const int shading_type[2]) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const float *viewport_size = DRW_viewport_size_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - /* e_data.gpencil_stroke_sh */ - DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); - - DRW_shgroup_uniform_vec2(grp, "Viewport", viewport_size, 1); - - DRW_shgroup_uniform_float(grp, "pixsize", stl->storage->pixsize, 1); - - /* avoid wrong values */ - if ((gpd) && (gpd->pixfactor == 0.0f)) { - gpd->pixfactor = GP_DEFAULT_PIX_FACTOR; - } - - /* object scale and depth */ - if ((ob) && (id > -1)) { - stl->shgroups[id].obj_scale = scale; - DRW_shgroup_uniform_float(grp, "objscale", &stl->shgroups[id].obj_scale, 1); - stl->shgroups[id].keep_size = (int)((gpd) && (gpd->flag & GP_DATA_STROKE_KEEPTHICKNESS)); - DRW_shgroup_uniform_int(grp, "keep_size", &stl->shgroups[id].keep_size, 1); - - stl->shgroups[id].stroke_style = gp_style->stroke_style; - stl->shgroups[id].color_type = GPENCIL_COLOR_SOLID; - if ((gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { - stl->shgroups[id].color_type = GPENCIL_COLOR_TEXTURE; - if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { - stl->shgroups[id].color_type = GPENCIL_COLOR_PATTERN; - } - } - DRW_shgroup_uniform_int(grp, "color_type", &stl->shgroups[id].color_type, 1); - DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); - - stl->shgroups[id].caps_mode[0] = gps->caps[0]; - stl->shgroups[id].caps_mode[1] = gps->caps[1]; - DRW_shgroup_uniform_int(grp, "caps_mode", &stl->shgroups[id].caps_mode[0], 2); - - stl->shgroups[id].gradient_f = gps->gradient_f; - copy_v2_v2(stl->shgroups[id].gradient_s, gps->gradient_s); - DRW_shgroup_uniform_float(grp, "gradient_f", &stl->shgroups[id].gradient_f, 1); - - /* viewport x-ray */ - stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; - DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); - - stl->shgroups[id].shading_type[0] = (GPENCIL_USE_SOLID(stl) || onion) ? (int)OB_RENDER : shading_type[0]; - if (v3d) { - stl->shgroups[id].shading_type[1] = ( - (stl->shgroups[id].shading_type[0] == OB_WIRE) ? - v3d->shading.wire_color_type : - v3d->shading.color_type); - } - DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); - - /* wire color */ - set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, false); - DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); - } - else { - stl->storage->obj_scale = 1.0f; - stl->storage->keep_size = 0; - stl->storage->pixfactor = GP_DEFAULT_PIX_FACTOR; - DRW_shgroup_uniform_float(grp, "objscale", &stl->storage->obj_scale, 1); - DRW_shgroup_uniform_int(grp, "keep_size", &stl->storage->keep_size, 1); - DRW_shgroup_uniform_int(grp, "color_type", &stl->storage->color_type, 1); - if (gpd) { - DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); - } - else { - DRW_shgroup_uniform_float(grp, "pixfactor", &stl->storage->pixfactor, 1); - } - const int zero[2] = { 0, 0 }; - DRW_shgroup_uniform_int(grp, "caps_mode", &zero[0], 2); - - DRW_shgroup_uniform_float(grp, "gradient_f", &stl->storage->gradient_f, 1); - - /* viewport x-ray */ - DRW_shgroup_uniform_int(grp, "viewport_xray", &stl->storage->is_xray, 1); - DRW_shgroup_uniform_int(grp, "shading_type", (const int *)&stl->storage->shade_render, 2); - } - - if ((gpd) && (id > -1)) { - stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; - DRW_shgroup_uniform_int(grp, "xraymode", &stl->shgroups[id].xray_mode, 1); - } - else { - /* for drawing always on predefined z-depth */ - DRW_shgroup_uniform_int(grp, "xraymode", &stl->storage->xray, 1); - } - - /* image texture for pattern */ - if ((gp_style) && (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { - ImBuf *ibuf; - Image *image = gp_style->sima; - ImageUser iuser = { NULL }; - void *lock; - - iuser.ok = true; - - ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); - - if (ibuf == NULL || ibuf->rect == NULL) { - BKE_image_release_ibuf(image, ibuf, NULL); - } - else { - GPUTexture *texture = GPU_texture_from_blender(gp_style->sima, &iuser, GL_TEXTURE_2D, true); - DRW_shgroup_uniform_texture(grp, "myTexture", texture); - - BKE_image_release_ibuf(image, ibuf, NULL); - } - } - else { - /* if no texture defined, need a blank texture to avoid errors in draw manager */ - DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); - } - - return grp; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const float *viewport_size = DRW_viewport_size_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + /* e_data.gpencil_stroke_sh */ + DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); + + DRW_shgroup_uniform_vec2(grp, "Viewport", viewport_size, 1); + + DRW_shgroup_uniform_float(grp, "pixsize", stl->storage->pixsize, 1); + + /* avoid wrong values */ + if ((gpd) && (gpd->pixfactor == 0.0f)) { + gpd->pixfactor = GP_DEFAULT_PIX_FACTOR; + } + + /* object scale and depth */ + if ((ob) && (id > -1)) { + stl->shgroups[id].obj_scale = scale; + DRW_shgroup_uniform_float(grp, "objscale", &stl->shgroups[id].obj_scale, 1); + stl->shgroups[id].keep_size = (int)((gpd) && (gpd->flag & GP_DATA_STROKE_KEEPTHICKNESS)); + DRW_shgroup_uniform_int(grp, "keep_size", &stl->shgroups[id].keep_size, 1); + + stl->shgroups[id].stroke_style = gp_style->stroke_style; + stl->shgroups[id].color_type = GPENCIL_COLOR_SOLID; + if ((gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { + stl->shgroups[id].color_type = GPENCIL_COLOR_TEXTURE; + if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { + stl->shgroups[id].color_type = GPENCIL_COLOR_PATTERN; + } + } + DRW_shgroup_uniform_int(grp, "color_type", &stl->shgroups[id].color_type, 1); + DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); + + stl->shgroups[id].caps_mode[0] = gps->caps[0]; + stl->shgroups[id].caps_mode[1] = gps->caps[1]; + DRW_shgroup_uniform_int(grp, "caps_mode", &stl->shgroups[id].caps_mode[0], 2); + + stl->shgroups[id].gradient_f = gps->gradient_f; + copy_v2_v2(stl->shgroups[id].gradient_s, gps->gradient_s); + DRW_shgroup_uniform_float(grp, "gradient_f", &stl->shgroups[id].gradient_f, 1); + + /* viewport x-ray */ + stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; + DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); + + stl->shgroups[id].shading_type[0] = (GPENCIL_USE_SOLID(stl) || onion) ? (int)OB_RENDER : + shading_type[0]; + if (v3d) { + stl->shgroups[id].shading_type[1] = ((stl->shgroups[id].shading_type[0] == OB_WIRE) ? + v3d->shading.wire_color_type : + v3d->shading.color_type); + } + DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); + + /* wire color */ + set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, false); + DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); + } + else { + stl->storage->obj_scale = 1.0f; + stl->storage->keep_size = 0; + stl->storage->pixfactor = GP_DEFAULT_PIX_FACTOR; + DRW_shgroup_uniform_float(grp, "objscale", &stl->storage->obj_scale, 1); + DRW_shgroup_uniform_int(grp, "keep_size", &stl->storage->keep_size, 1); + DRW_shgroup_uniform_int(grp, "color_type", &stl->storage->color_type, 1); + if (gpd) { + DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); + } + else { + DRW_shgroup_uniform_float(grp, "pixfactor", &stl->storage->pixfactor, 1); + } + const int zero[2] = {0, 0}; + DRW_shgroup_uniform_int(grp, "caps_mode", &zero[0], 2); + + DRW_shgroup_uniform_float(grp, "gradient_f", &stl->storage->gradient_f, 1); + + /* viewport x-ray */ + DRW_shgroup_uniform_int(grp, "viewport_xray", &stl->storage->is_xray, 1); + DRW_shgroup_uniform_int(grp, "shading_type", (const int *)&stl->storage->shade_render, 2); + } + + if ((gpd) && (id > -1)) { + stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; + DRW_shgroup_uniform_int(grp, "xraymode", &stl->shgroups[id].xray_mode, 1); + } + else { + /* for drawing always on predefined z-depth */ + DRW_shgroup_uniform_int(grp, "xraymode", &stl->storage->xray, 1); + } + + /* image texture for pattern */ + if ((gp_style) && (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { + ImBuf *ibuf; + Image *image = gp_style->sima; + ImageUser iuser = {NULL}; + void *lock; + + iuser.ok = true; + + ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); + + if (ibuf == NULL || ibuf->rect == NULL) { + BKE_image_release_ibuf(image, ibuf, NULL); + } + else { + GPUTexture *texture = GPU_texture_from_blender(gp_style->sima, &iuser, GL_TEXTURE_2D, true); + DRW_shgroup_uniform_texture(grp, "myTexture", texture); + + BKE_image_release_ibuf(image, ibuf, NULL); + } + } + else { + /* if no texture defined, need a blank texture to avoid errors in draw manager */ + DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); + } + + return grp; } /* create shading group for points */ -static DRWShadingGroup *DRW_gpencil_shgroup_point_create( - GPENCIL_e_data *e_data, GPENCIL_Data *vedata, DRWPass *pass, GPUShader *shader, Object *ob, - bGPdata *gpd, bGPDlayer *gpl, bGPDstroke *gps, - MaterialGPencilStyle *gp_style, int id, bool onion, - const float scale, const int shading_type[2]) +static DRWShadingGroup *DRW_gpencil_shgroup_point_create(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + DRWPass *pass, + GPUShader *shader, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDstroke *gps, + MaterialGPencilStyle *gp_style, + int id, + bool onion, + const float scale, + const int shading_type[2]) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const float *viewport_size = DRW_viewport_size_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - /* e_data.gpencil_stroke_sh */ - DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); - - DRW_shgroup_uniform_vec2(grp, "Viewport", viewport_size, 1); - DRW_shgroup_uniform_float(grp, "pixsize", stl->storage->pixsize, 1); - - /* avoid wrong values */ - if ((gpd) && (gpd->pixfactor == 0.0f)) { - gpd->pixfactor = GP_DEFAULT_PIX_FACTOR; - } - - /* object scale and depth */ - if ((ob) && (id > -1)) { - stl->shgroups[id].obj_scale = scale; - DRW_shgroup_uniform_float(grp, "objscale", &stl->shgroups[id].obj_scale, 1); - stl->shgroups[id].keep_size = (int)((gpd) && (gpd->flag & GP_DATA_STROKE_KEEPTHICKNESS)); - DRW_shgroup_uniform_int(grp, "keep_size", &stl->shgroups[id].keep_size, 1); - - stl->shgroups[id].mode = gp_style->mode; - stl->shgroups[id].stroke_style = gp_style->stroke_style; - stl->shgroups[id].color_type = GPENCIL_COLOR_SOLID; - if ((gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { - stl->shgroups[id].color_type = GPENCIL_COLOR_TEXTURE; - if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { - stl->shgroups[id].color_type = GPENCIL_COLOR_PATTERN; - } - } - DRW_shgroup_uniform_int(grp, "color_type", &stl->shgroups[id].color_type, 1); - DRW_shgroup_uniform_int(grp, "mode", &stl->shgroups[id].mode, 1); - DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); - - stl->shgroups[id].gradient_f = gps->gradient_f; - copy_v2_v2(stl->shgroups[id].gradient_s, gps->gradient_s); - DRW_shgroup_uniform_float(grp, "gradient_f", &stl->shgroups[id].gradient_f, 1); - DRW_shgroup_uniform_vec2(grp, "gradient_s", stl->shgroups[id].gradient_s, 1); - - /* viewport x-ray */ - stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; - DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); - - stl->shgroups[id].shading_type[0] = (GPENCIL_USE_SOLID(stl) || onion) ? (int)OB_RENDER : shading_type[0]; - if (v3d) { - stl->shgroups[id].shading_type[1] = ( - (stl->shgroups[id].shading_type[0] == OB_WIRE) ? - v3d->shading.wire_color_type : - v3d->shading.color_type); - } - DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); - - /* wire color */ - set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, false); - DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); - - } - else { - stl->storage->obj_scale = 1.0f; - stl->storage->keep_size = 0; - stl->storage->pixfactor = GP_DEFAULT_PIX_FACTOR; - stl->storage->mode = gp_style->mode; - DRW_shgroup_uniform_float(grp, "objscale", &stl->storage->obj_scale, 1); - DRW_shgroup_uniform_int(grp, "keep_size", &stl->storage->keep_size, 1); - DRW_shgroup_uniform_int(grp, "color_type", &stl->storage->color_type, 1); - DRW_shgroup_uniform_int(grp, "mode", &stl->storage->mode, 1); - if (gpd) { - DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); - } - else { - DRW_shgroup_uniform_float(grp, "pixfactor", &stl->storage->pixfactor, 1); - } - - DRW_shgroup_uniform_float(grp, "gradient_f", &stl->storage->gradient_f, 1); - DRW_shgroup_uniform_vec2(grp, "gradient_s", stl->storage->gradient_s, 1); - - /* viewport x-ray */ - stl->shgroups[id].is_xray = ((ob) && (ob->dt == OB_WIRE)) ? 1 : stl->storage->is_xray; - DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); - DRW_shgroup_uniform_int(grp, "shading_type", (const int *)&stl->storage->shade_render, 2); - } - - if ((gpd) && (id > -1)) { - stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; - DRW_shgroup_uniform_int(grp, "xraymode", (const int *)&stl->shgroups[id].xray_mode, 1); - - /* lock rotation of dots and boxes */ - stl->shgroups[id].use_follow_path = (gp_style->flag & GP_STYLE_COLOR_LOCK_DOTS) ? 0 : 1; - DRW_shgroup_uniform_int(grp, "use_follow_path", &stl->shgroups[id].use_follow_path, 1); - } - else { - /* for drawing always on predefined z-depth */ - DRW_shgroup_uniform_int(grp, "xraymode", &stl->storage->xray, 1); - - /* lock rotation of dots and boxes */ - DRW_shgroup_uniform_int(grp, "use_follow_path", &stl->storage->use_follow_path, 1); - } - - - - /* image texture */ - if ((gp_style) && (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { - ImBuf *ibuf; - Image *image = gp_style->sima; - ImageUser iuser = { NULL }; - void *lock; - - iuser.ok = true; - - ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); - - if (ibuf == NULL || ibuf->rect == NULL) { - BKE_image_release_ibuf(image, ibuf, NULL); - } - else { - GPUTexture *texture = GPU_texture_from_blender(gp_style->sima, &iuser, GL_TEXTURE_2D, true); - DRW_shgroup_uniform_texture(grp, "myTexture", texture); - - BKE_image_release_ibuf(image, ibuf, NULL); - } - } - else { - /* if no texture defined, need a blank texture to avoid errors in draw manager */ - DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); - } - - return grp; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const float *viewport_size = DRW_viewport_size_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + /* e_data.gpencil_stroke_sh */ + DRWShadingGroup *grp = DRW_shgroup_create(shader, pass); + + DRW_shgroup_uniform_vec2(grp, "Viewport", viewport_size, 1); + DRW_shgroup_uniform_float(grp, "pixsize", stl->storage->pixsize, 1); + + /* avoid wrong values */ + if ((gpd) && (gpd->pixfactor == 0.0f)) { + gpd->pixfactor = GP_DEFAULT_PIX_FACTOR; + } + + /* object scale and depth */ + if ((ob) && (id > -1)) { + stl->shgroups[id].obj_scale = scale; + DRW_shgroup_uniform_float(grp, "objscale", &stl->shgroups[id].obj_scale, 1); + stl->shgroups[id].keep_size = (int)((gpd) && (gpd->flag & GP_DATA_STROKE_KEEPTHICKNESS)); + DRW_shgroup_uniform_int(grp, "keep_size", &stl->shgroups[id].keep_size, 1); + + stl->shgroups[id].mode = gp_style->mode; + stl->shgroups[id].stroke_style = gp_style->stroke_style; + stl->shgroups[id].color_type = GPENCIL_COLOR_SOLID; + if ((gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { + stl->shgroups[id].color_type = GPENCIL_COLOR_TEXTURE; + if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { + stl->shgroups[id].color_type = GPENCIL_COLOR_PATTERN; + } + } + DRW_shgroup_uniform_int(grp, "color_type", &stl->shgroups[id].color_type, 1); + DRW_shgroup_uniform_int(grp, "mode", &stl->shgroups[id].mode, 1); + DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); + + stl->shgroups[id].gradient_f = gps->gradient_f; + copy_v2_v2(stl->shgroups[id].gradient_s, gps->gradient_s); + DRW_shgroup_uniform_float(grp, "gradient_f", &stl->shgroups[id].gradient_f, 1); + DRW_shgroup_uniform_vec2(grp, "gradient_s", stl->shgroups[id].gradient_s, 1); + + /* viewport x-ray */ + stl->shgroups[id].is_xray = (ob->dt == OB_WIRE) ? 1 : stl->storage->is_xray; + DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); + + stl->shgroups[id].shading_type[0] = (GPENCIL_USE_SOLID(stl) || onion) ? (int)OB_RENDER : + shading_type[0]; + if (v3d) { + stl->shgroups[id].shading_type[1] = ((stl->shgroups[id].shading_type[0] == OB_WIRE) ? + v3d->shading.wire_color_type : + v3d->shading.color_type); + } + DRW_shgroup_uniform_int(grp, "shading_type", &stl->shgroups[id].shading_type[0], 2); + + /* wire color */ + set_wireframe_color(ob, gpl, v3d, stl, gp_style, id, false); + DRW_shgroup_uniform_vec4(grp, "wire_color", stl->shgroups[id].wire_color, 1); + } + else { + stl->storage->obj_scale = 1.0f; + stl->storage->keep_size = 0; + stl->storage->pixfactor = GP_DEFAULT_PIX_FACTOR; + stl->storage->mode = gp_style->mode; + DRW_shgroup_uniform_float(grp, "objscale", &stl->storage->obj_scale, 1); + DRW_shgroup_uniform_int(grp, "keep_size", &stl->storage->keep_size, 1); + DRW_shgroup_uniform_int(grp, "color_type", &stl->storage->color_type, 1); + DRW_shgroup_uniform_int(grp, "mode", &stl->storage->mode, 1); + if (gpd) { + DRW_shgroup_uniform_float(grp, "pixfactor", &gpd->pixfactor, 1); + } + else { + DRW_shgroup_uniform_float(grp, "pixfactor", &stl->storage->pixfactor, 1); + } + + DRW_shgroup_uniform_float(grp, "gradient_f", &stl->storage->gradient_f, 1); + DRW_shgroup_uniform_vec2(grp, "gradient_s", stl->storage->gradient_s, 1); + + /* viewport x-ray */ + stl->shgroups[id].is_xray = ((ob) && (ob->dt == OB_WIRE)) ? 1 : stl->storage->is_xray; + DRW_shgroup_uniform_int(grp, "viewport_xray", (const int *)&stl->shgroups[id].is_xray, 1); + DRW_shgroup_uniform_int(grp, "shading_type", (const int *)&stl->storage->shade_render, 2); + } + + if ((gpd) && (id > -1)) { + stl->shgroups[id].xray_mode = (ob->dtx & OB_DRAWXRAY) ? GP_XRAY_FRONT : GP_XRAY_3DSPACE; + DRW_shgroup_uniform_int(grp, "xraymode", (const int *)&stl->shgroups[id].xray_mode, 1); + + /* lock rotation of dots and boxes */ + stl->shgroups[id].use_follow_path = (gp_style->flag & GP_STYLE_COLOR_LOCK_DOTS) ? 0 : 1; + DRW_shgroup_uniform_int(grp, "use_follow_path", &stl->shgroups[id].use_follow_path, 1); + } + else { + /* for drawing always on predefined z-depth */ + DRW_shgroup_uniform_int(grp, "xraymode", &stl->storage->xray, 1); + + /* lock rotation of dots and boxes */ + DRW_shgroup_uniform_int(grp, "use_follow_path", &stl->storage->use_follow_path, 1); + } + + /* image texture */ + if ((gp_style) && (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) && (!onion)) { + ImBuf *ibuf; + Image *image = gp_style->sima; + ImageUser iuser = {NULL}; + void *lock; + + iuser.ok = true; + + ibuf = BKE_image_acquire_ibuf(image, &iuser, &lock); + + if (ibuf == NULL || ibuf->rect == NULL) { + BKE_image_release_ibuf(image, ibuf, NULL); + } + else { + GPUTexture *texture = GPU_texture_from_blender(gp_style->sima, &iuser, GL_TEXTURE_2D, true); + DRW_shgroup_uniform_texture(grp, "myTexture", texture); + + BKE_image_release_ibuf(image, ibuf, NULL); + } + } + else { + /* if no texture defined, need a blank texture to avoid errors in draw manager */ + DRW_shgroup_uniform_texture(grp, "myTexture", e_data->gpencil_blank_texture); + } + + return grp; } /* add fill vertex info */ -static void gpencil_add_fill_vertexdata( - GpencilBatchCache *cache, - Object *ob, bGPDlayer *gpl, bGPDframe *gpf, bGPDstroke *gps, - float opacity, const float tintcolor[4], const bool onion, const bool custonion) +static void gpencil_add_fill_vertexdata(GpencilBatchCache *cache, + Object *ob, + bGPDlayer *gpl, + bGPDframe *gpf, + bGPDstroke *gps, + float opacity, + const float tintcolor[4], + const bool onion, + const bool custonion) { - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - if (gps->totpoints >= 3) { - float tfill[4]; - /* set color using material, tint color and opacity */ - interp_v3_v3v3(tfill, gps->runtime.tmp_fill_rgba, tintcolor, tintcolor[3]); - tfill[3] = gps->runtime.tmp_fill_rgba[3] * opacity; - if ((tfill[3] > GPENCIL_ALPHA_OPACITY_THRESH) || - (gp_style->fill_style > 0) || - (gpl->blend_mode != eGplBlendMode_Normal)) - { - if (cache->is_dirty) { - const float *color; - if (!onion) { - color = tfill; - } - else { - if (custonion) { - color = tintcolor; - } - else { - ARRAY_SET_ITEMS(tfill, UNPACK3(gps->runtime.tmp_fill_rgba), tintcolor[3]); - color = tfill; - } - } - /* create vertex data */ - const int old_len = cache->b_fill.vbo_len; - DRW_gpencil_get_fill_geom(&cache->b_fill, ob, gps, color); - - /* add to list of groups */ - if (old_len < cache->b_fill.vbo_len) { - cache->grp_cache = gpencil_group_cache_add( - cache->grp_cache, gpl, gpf, gps, - eGpencilBatchGroupType_Fill, onion, - cache->b_fill.vbo_len, - &cache->grp_size, &cache->grp_used); - } - } - } - } + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + if (gps->totpoints >= 3) { + float tfill[4]; + /* set color using material, tint color and opacity */ + interp_v3_v3v3(tfill, gps->runtime.tmp_fill_rgba, tintcolor, tintcolor[3]); + tfill[3] = gps->runtime.tmp_fill_rgba[3] * opacity; + if ((tfill[3] > GPENCIL_ALPHA_OPACITY_THRESH) || (gp_style->fill_style > 0) || + (gpl->blend_mode != eGplBlendMode_Normal)) { + if (cache->is_dirty) { + const float *color; + if (!onion) { + color = tfill; + } + else { + if (custonion) { + color = tintcolor; + } + else { + ARRAY_SET_ITEMS(tfill, UNPACK3(gps->runtime.tmp_fill_rgba), tintcolor[3]); + color = tfill; + } + } + /* create vertex data */ + const int old_len = cache->b_fill.vbo_len; + DRW_gpencil_get_fill_geom(&cache->b_fill, ob, gps, color); + + /* add to list of groups */ + if (old_len < cache->b_fill.vbo_len) { + cache->grp_cache = gpencil_group_cache_add(cache->grp_cache, + gpl, + gpf, + gps, + eGpencilBatchGroupType_Fill, + onion, + cache->b_fill.vbo_len, + &cache->grp_size, + &cache->grp_used); + } + } + } + } } /* add stroke vertex info */ -static void gpencil_add_stroke_vertexdata( - GpencilBatchCache *cache, - Object *ob, bGPDlayer *gpl, bGPDframe *gpf, bGPDstroke *gps, - const float opacity, const float tintcolor[4], const bool onion, - const bool custonion) +static void gpencil_add_stroke_vertexdata(GpencilBatchCache *cache, + Object *ob, + bGPDlayer *gpl, + bGPDframe *gpf, + bGPDstroke *gps, + const float opacity, + const float tintcolor[4], + const bool onion, + const bool custonion) { - float tcolor[4]; - float ink[4]; - short sthickness; - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - - /* set color using base color, tint color and opacity */ - if (cache->is_dirty) { - if (!onion) { - /* if special stroke, use fill color as stroke color */ - if (gps->flag & GP_STROKE_NOFILL) { - interp_v3_v3v3(tcolor, gps->runtime.tmp_fill_rgba, tintcolor, tintcolor[3]); - tcolor[3] = gps->runtime.tmp_fill_rgba[3] * opacity; - } - else { - interp_v3_v3v3(tcolor, gps->runtime.tmp_stroke_rgba, tintcolor, tintcolor[3]); - tcolor[3] = gps->runtime.tmp_stroke_rgba[3] * opacity; - } - copy_v4_v4(ink, tcolor); - } - else { - if (custonion) { - copy_v4_v4(ink, tintcolor); - } - else { - ARRAY_SET_ITEMS(tcolor, UNPACK3(gps->runtime.tmp_stroke_rgba), opacity); - copy_v4_v4(ink, tcolor); - } - } - - sthickness = gps->thickness + gpl->line_change; - CLAMP_MIN(sthickness, 1); - - if ((gps->totpoints > 1) && (gp_style->mode == GP_STYLE_MODE_LINE)) { - /* create vertex data */ - const int old_len = cache->b_stroke.vbo_len; - DRW_gpencil_get_stroke_geom(&cache->b_stroke, gps, sthickness, ink); - - /* add to list of groups */ - if (old_len < cache->b_stroke.vbo_len) { - cache->grp_cache = gpencil_group_cache_add( - cache->grp_cache, gpl, gpf, gps, - eGpencilBatchGroupType_Stroke, onion, - cache->b_stroke.vbo_len, - &cache->grp_size, &cache->grp_used); - } - } - else { - /* create vertex data */ - const int old_len = cache->b_point.vbo_len; - DRW_gpencil_get_point_geom(&cache->b_point, gps, sthickness, ink); - - /* add to list of groups */ - if (old_len < cache->b_point.vbo_len) { - cache->grp_cache = gpencil_group_cache_add( - cache->grp_cache, gpl, gpf, gps, eGpencilBatchGroupType_Point, onion, - cache->b_point.vbo_len, - &cache->grp_size, &cache->grp_used); - } - } - } + float tcolor[4]; + float ink[4]; + short sthickness; + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + + /* set color using base color, tint color and opacity */ + if (cache->is_dirty) { + if (!onion) { + /* if special stroke, use fill color as stroke color */ + if (gps->flag & GP_STROKE_NOFILL) { + interp_v3_v3v3(tcolor, gps->runtime.tmp_fill_rgba, tintcolor, tintcolor[3]); + tcolor[3] = gps->runtime.tmp_fill_rgba[3] * opacity; + } + else { + interp_v3_v3v3(tcolor, gps->runtime.tmp_stroke_rgba, tintcolor, tintcolor[3]); + tcolor[3] = gps->runtime.tmp_stroke_rgba[3] * opacity; + } + copy_v4_v4(ink, tcolor); + } + else { + if (custonion) { + copy_v4_v4(ink, tintcolor); + } + else { + ARRAY_SET_ITEMS(tcolor, UNPACK3(gps->runtime.tmp_stroke_rgba), opacity); + copy_v4_v4(ink, tcolor); + } + } + + sthickness = gps->thickness + gpl->line_change; + CLAMP_MIN(sthickness, 1); + + if ((gps->totpoints > 1) && (gp_style->mode == GP_STYLE_MODE_LINE)) { + /* create vertex data */ + const int old_len = cache->b_stroke.vbo_len; + DRW_gpencil_get_stroke_geom(&cache->b_stroke, gps, sthickness, ink); + + /* add to list of groups */ + if (old_len < cache->b_stroke.vbo_len) { + cache->grp_cache = gpencil_group_cache_add(cache->grp_cache, + gpl, + gpf, + gps, + eGpencilBatchGroupType_Stroke, + onion, + cache->b_stroke.vbo_len, + &cache->grp_size, + &cache->grp_used); + } + } + else { + /* create vertex data */ + const int old_len = cache->b_point.vbo_len; + DRW_gpencil_get_point_geom(&cache->b_point, gps, sthickness, ink); + + /* add to list of groups */ + if (old_len < cache->b_point.vbo_len) { + cache->grp_cache = gpencil_group_cache_add(cache->grp_cache, + gpl, + gpf, + gps, + eGpencilBatchGroupType_Point, + onion, + cache->b_point.vbo_len, + &cache->grp_size, + &cache->grp_used); + } + } + } } /* add edit points vertex info */ -static void gpencil_add_editpoints_vertexdata( - GpencilBatchCache *cache, Object *ob, - bGPdata *gpd, bGPDlayer *gpl, bGPDframe *gpf, bGPDstroke *gps) +static void gpencil_add_editpoints_vertexdata(GpencilBatchCache *cache, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDframe *gpf, + bGPDstroke *gps) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - - /* alpha factor for edit points/line to make them more subtle */ - float edit_alpha = v3d->vertex_opacity; - - if (GPENCIL_ANY_EDIT_MODE(gpd)) { - Object *obact = DRW_context_state_get()->obact; - if ((!obact) || (obact->type != OB_GPENCIL)) { - return; - } - const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); - - if (cache->is_dirty) { - if ((obact == ob) && - ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (v3d->gp_flag & V3D_GP_SHOW_EDIT_LINES)) - { - /* line of the original stroke */ - DRW_gpencil_get_edlin_geom(&cache->b_edlin, gps, edit_alpha, gpd->flag); - - /* add to list of groups */ - cache->grp_cache = gpencil_group_cache_add( - cache->grp_cache, gpl, gpf, gps, - eGpencilBatchGroupType_Edlin, false, - cache->b_edlin.vbo_len, - &cache->grp_size, &cache->grp_used); - } - /* edit points */ - if ((gps->flag & GP_STROKE_SELECT) || (is_weight_paint)) { - if ((gpl->flag & GP_LAYER_UNLOCK_COLOR) || ((gp_style->flag & GP_STYLE_COLOR_LOCKED) == 0)) { - if (obact == ob) { - DRW_gpencil_get_edit_geom(&cache->b_edit, gps, edit_alpha, gpd->flag); - - /* add to list of groups */ - cache->grp_cache = gpencil_group_cache_add( - cache->grp_cache, gpl, gpf, gps, - eGpencilBatchGroupType_Edit, false, - cache->b_edit.vbo_len, - &cache->grp_size, &cache->grp_used); - } - } - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + + /* alpha factor for edit points/line to make them more subtle */ + float edit_alpha = v3d->vertex_opacity; + + if (GPENCIL_ANY_EDIT_MODE(gpd)) { + Object *obact = DRW_context_state_get()->obact; + if ((!obact) || (obact->type != OB_GPENCIL)) { + return; + } + const bool is_weight_paint = (gpd) && (gpd->flag & GP_DATA_STROKE_WEIGHTMODE); + + if (cache->is_dirty) { + if ((obact == ob) && ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && + (v3d->gp_flag & V3D_GP_SHOW_EDIT_LINES)) { + /* line of the original stroke */ + DRW_gpencil_get_edlin_geom(&cache->b_edlin, gps, edit_alpha, gpd->flag); + + /* add to list of groups */ + cache->grp_cache = gpencil_group_cache_add(cache->grp_cache, + gpl, + gpf, + gps, + eGpencilBatchGroupType_Edlin, + false, + cache->b_edlin.vbo_len, + &cache->grp_size, + &cache->grp_used); + } + /* edit points */ + if ((gps->flag & GP_STROKE_SELECT) || (is_weight_paint)) { + if ((gpl->flag & GP_LAYER_UNLOCK_COLOR) || + ((gp_style->flag & GP_STYLE_COLOR_LOCKED) == 0)) { + if (obact == ob) { + DRW_gpencil_get_edit_geom(&cache->b_edit, gps, edit_alpha, gpd->flag); + + /* add to list of groups */ + cache->grp_cache = gpencil_group_cache_add(cache->grp_cache, + gpl, + gpf, + gps, + eGpencilBatchGroupType_Edit, + false, + cache->b_edit.vbo_len, + &cache->grp_size, + &cache->grp_used); + } + } + } + } + } } /* main function to draw strokes */ -static void gpencil_draw_strokes( - GpencilBatchCache *cache, GPENCIL_e_data *e_data, void *vedata, Object *ob, - bGPdata *gpd, bGPDlayer *gpl, bGPDframe *src_gpf, bGPDframe *derived_gpf, - const float opacity, const float tintcolor[4], - const bool custonion, tGPencilObjectCache *cache_ob) +static void gpencil_draw_strokes(GpencilBatchCache *cache, + GPENCIL_e_data *e_data, + void *vedata, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDframe *src_gpf, + bGPDframe *derived_gpf, + const float opacity, + const float tintcolor[4], + const bool custonion, + tGPencilObjectCache *cache_ob) { - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - View3D *v3d = draw_ctx->v3d; - bGPDstroke *gps, *src_gps; - float viewmatrix[4][4]; - const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); - const bool playing = stl->storage->is_playing; - const bool is_render = (bool)stl->storage->is_render; - const bool is_mat_preview = (bool)stl->storage->is_mat_preview; - const bool overlay_multiedit = v3d != NULL ? (v3d->gp_flag & V3D_GP_SHOW_MULTIEDIT_LINES) : true; - - /* Get evaluation context */ - /* NOTE: We must check if C is valid, otherwise we get crashes when trying to save files - * (i.e. the thumbnail offscreen rendering fails) - */ - Depsgraph *depsgraph = DRW_context_state_get()->depsgraph; - - /* get parent matrix and save as static data */ - ED_gpencil_parent_location(depsgraph, ob, gpd, gpl, viewmatrix); - copy_m4_m4(derived_gpf->runtime.viewmatrix, viewmatrix); - - if ((cache_ob != NULL) && (cache_ob->is_dup_ob)) { - copy_m4_m4(derived_gpf->runtime.viewmatrix, cache_ob->obmat); - } - - /* apply geometry modifiers */ - if ((cache->is_dirty) && (ob->greasepencil_modifiers.first) && (!is_multiedit)) { - if (!stl->storage->simplify_modif) { - if (BKE_gpencil_has_geometry_modifiers(ob)) { - BKE_gpencil_geometry_modifiers(depsgraph, ob, gpl, derived_gpf, stl->storage->is_render); - } - } - } - - if (src_gpf) { - src_gps = src_gpf->strokes.first; - } - else { - src_gps = NULL; - } - - for (gps = derived_gpf->strokes.first; gps; gps = gps->next) { - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - - /* check if stroke can be drawn */ - if (gpencil_can_draw_stroke(gp_style, gps, false, is_mat_preview) == false) { - GP_SET_SRC_GPS(src_gps); - continue; - } - - /* be sure recalc all cache in source stroke to avoid recalculation when frame change - * and improve fps */ - if (src_gps) { - DRW_gpencil_recalc_geometry_caches(ob, gpl, gp_style, src_gps); - } - - /* if the fill has any value, it's considered a fill and is not drawn if simplify fill is enabled */ - if ((stl->storage->simplify_fill) && - (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_REMOVE_FILL_LINE)) - { - if ((gp_style->fill_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || - (gp_style->fill_style > GP_STYLE_FILL_STYLE_SOLID) || - (gpl->blend_mode != eGplBlendMode_Normal)) - { - GP_SET_SRC_GPS(src_gps); - continue; - } - } - - if ((gpl->actframe->framenum == derived_gpf->framenum) || - (!is_multiedit) || (overlay_multiedit)) - { - /* copy color to temp fields to apply temporal changes in the stroke */ - copy_v4_v4(gps->runtime.tmp_stroke_rgba, gp_style->stroke_rgba); - copy_v4_v4(gps->runtime.tmp_fill_rgba, gp_style->fill_rgba); - - /* apply modifiers (only modify geometry, but not create ) */ - if ((cache->is_dirty) && (ob->greasepencil_modifiers.first) && (!is_multiedit)) { - if (!stl->storage->simplify_modif) { - BKE_gpencil_stroke_modifiers(depsgraph, ob, gpl, derived_gpf, gps, stl->storage->is_render); - } - } - - /* hide any blend layer */ - if ((!stl->storage->simplify_blend) || - (gpl->blend_mode == eGplBlendMode_Normal)) - { - /* fill */ - if ((gp_style->flag & GP_STYLE_FILL_SHOW) && - (!stl->storage->simplify_fill) && - ((gps->flag & GP_STROKE_NOFILL) == 0)) - { - gpencil_add_fill_vertexdata( - cache, ob, gpl, derived_gpf, gps, - opacity, tintcolor, false, custonion); - } - /* stroke */ - /* No fill strokes, must show stroke always */ - if (((gp_style->flag & GP_STYLE_STROKE_SHOW) || - (gps->flag & GP_STROKE_NOFILL)) && - ((gp_style->stroke_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || - (gpl->blend_mode == eGplBlendMode_Normal))) - { - /* recalc strokes uv (geometry can be changed by modifiers) */ - if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { - ED_gpencil_calc_stroke_uv(ob, gps); - } - - gpencil_add_stroke_vertexdata( - cache, ob, gpl, derived_gpf, gps, - opacity, tintcolor, false, custonion); - } - } - } - - /* edit points (only in edit mode and not play animation not render) */ - if ((draw_ctx->obact == ob) && (src_gps) && - (!playing) && (!is_render) && (!cache_ob->is_dup_ob)) - { - if ((gpl->flag & GP_LAYER_LOCKED) == 0) { - if (!stl->g_data->shgrps_edit_line) { - stl->g_data->shgrps_edit_line = DRW_shgroup_create(e_data->gpencil_line_sh, psl->edit_pass); - } - if (!stl->g_data->shgrps_edit_point) { - stl->g_data->shgrps_edit_point = DRW_shgroup_create(e_data->gpencil_edit_point_sh, psl->edit_pass); - const float *viewport_size = DRW_viewport_size_get(); - DRW_shgroup_uniform_vec2(stl->g_data->shgrps_edit_point, "Viewport", viewport_size, 1); - } - - gpencil_add_editpoints_vertexdata(cache, ob, gpd, gpl, derived_gpf, src_gps); - } - } - - GP_SET_SRC_GPS(src_gps); - } + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + View3D *v3d = draw_ctx->v3d; + bGPDstroke *gps, *src_gps; + float viewmatrix[4][4]; + const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); + const bool playing = stl->storage->is_playing; + const bool is_render = (bool)stl->storage->is_render; + const bool is_mat_preview = (bool)stl->storage->is_mat_preview; + const bool overlay_multiedit = v3d != NULL ? (v3d->gp_flag & V3D_GP_SHOW_MULTIEDIT_LINES) : true; + + /* Get evaluation context */ + /* NOTE: We must check if C is valid, otherwise we get crashes when trying to save files + * (i.e. the thumbnail offscreen rendering fails) + */ + Depsgraph *depsgraph = DRW_context_state_get()->depsgraph; + + /* get parent matrix and save as static data */ + ED_gpencil_parent_location(depsgraph, ob, gpd, gpl, viewmatrix); + copy_m4_m4(derived_gpf->runtime.viewmatrix, viewmatrix); + + if ((cache_ob != NULL) && (cache_ob->is_dup_ob)) { + copy_m4_m4(derived_gpf->runtime.viewmatrix, cache_ob->obmat); + } + + /* apply geometry modifiers */ + if ((cache->is_dirty) && (ob->greasepencil_modifiers.first) && (!is_multiedit)) { + if (!stl->storage->simplify_modif) { + if (BKE_gpencil_has_geometry_modifiers(ob)) { + BKE_gpencil_geometry_modifiers(depsgraph, ob, gpl, derived_gpf, stl->storage->is_render); + } + } + } + + if (src_gpf) { + src_gps = src_gpf->strokes.first; + } + else { + src_gps = NULL; + } + + for (gps = derived_gpf->strokes.first; gps; gps = gps->next) { + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + + /* check if stroke can be drawn */ + if (gpencil_can_draw_stroke(gp_style, gps, false, is_mat_preview) == false) { + GP_SET_SRC_GPS(src_gps); + continue; + } + + /* be sure recalc all cache in source stroke to avoid recalculation when frame change + * and improve fps */ + if (src_gps) { + DRW_gpencil_recalc_geometry_caches(ob, gpl, gp_style, src_gps); + } + + /* if the fill has any value, it's considered a fill and is not drawn if simplify fill is enabled */ + if ((stl->storage->simplify_fill) && + (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_REMOVE_FILL_LINE)) { + if ((gp_style->fill_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || + (gp_style->fill_style > GP_STYLE_FILL_STYLE_SOLID) || + (gpl->blend_mode != eGplBlendMode_Normal)) { + GP_SET_SRC_GPS(src_gps); + continue; + } + } + + if ((gpl->actframe->framenum == derived_gpf->framenum) || (!is_multiedit) || + (overlay_multiedit)) { + /* copy color to temp fields to apply temporal changes in the stroke */ + copy_v4_v4(gps->runtime.tmp_stroke_rgba, gp_style->stroke_rgba); + copy_v4_v4(gps->runtime.tmp_fill_rgba, gp_style->fill_rgba); + + /* apply modifiers (only modify geometry, but not create ) */ + if ((cache->is_dirty) && (ob->greasepencil_modifiers.first) && (!is_multiedit)) { + if (!stl->storage->simplify_modif) { + BKE_gpencil_stroke_modifiers( + depsgraph, ob, gpl, derived_gpf, gps, stl->storage->is_render); + } + } + + /* hide any blend layer */ + if ((!stl->storage->simplify_blend) || (gpl->blend_mode == eGplBlendMode_Normal)) { + /* fill */ + if ((gp_style->flag & GP_STYLE_FILL_SHOW) && (!stl->storage->simplify_fill) && + ((gps->flag & GP_STROKE_NOFILL) == 0)) { + gpencil_add_fill_vertexdata( + cache, ob, gpl, derived_gpf, gps, opacity, tintcolor, false, custonion); + } + /* stroke */ + /* No fill strokes, must show stroke always */ + if (((gp_style->flag & GP_STYLE_STROKE_SHOW) || (gps->flag & GP_STROKE_NOFILL)) && + ((gp_style->stroke_rgba[3] > GPENCIL_ALPHA_OPACITY_THRESH) || + (gpl->blend_mode == eGplBlendMode_Normal))) { + /* recalc strokes uv (geometry can be changed by modifiers) */ + if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { + ED_gpencil_calc_stroke_uv(ob, gps); + } + + gpencil_add_stroke_vertexdata( + cache, ob, gpl, derived_gpf, gps, opacity, tintcolor, false, custonion); + } + } + } + + /* edit points (only in edit mode and not play animation not render) */ + if ((draw_ctx->obact == ob) && (src_gps) && (!playing) && (!is_render) && + (!cache_ob->is_dup_ob)) { + if ((gpl->flag & GP_LAYER_LOCKED) == 0) { + if (!stl->g_data->shgrps_edit_line) { + stl->g_data->shgrps_edit_line = DRW_shgroup_create(e_data->gpencil_line_sh, + psl->edit_pass); + } + if (!stl->g_data->shgrps_edit_point) { + stl->g_data->shgrps_edit_point = DRW_shgroup_create(e_data->gpencil_edit_point_sh, + psl->edit_pass); + const float *viewport_size = DRW_viewport_size_get(); + DRW_shgroup_uniform_vec2(stl->g_data->shgrps_edit_point, "Viewport", viewport_size, 1); + } + + gpencil_add_editpoints_vertexdata(cache, ob, gpd, gpl, derived_gpf, src_gps); + } + } + + GP_SET_SRC_GPS(src_gps); + } } /* get alpha factor for onion strokes */ @@ -1072,847 +1122,919 @@ static void gpencil_get_onion_alpha(float color[4], bGPdata *gpd) { #define MIN_ALPHA_VALUE 0.01f - /* if fade is disabled, opacity is equal in all frames */ - if ((gpd->onion_flag & GP_ONION_FADE) == 0) { - color[3] = gpd->onion_factor; - } - else { - /* add override opacity factor */ - color[3] += gpd->onion_factor - 0.5f; - } + /* if fade is disabled, opacity is equal in all frames */ + if ((gpd->onion_flag & GP_ONION_FADE) == 0) { + color[3] = gpd->onion_factor; + } + else { + /* add override opacity factor */ + color[3] += gpd->onion_factor - 0.5f; + } - CLAMP(color[3], MIN_ALPHA_VALUE, 1.0f); + CLAMP(color[3], MIN_ALPHA_VALUE, 1.0f); } /* function to draw strokes for onion only */ -static void gpencil_draw_onion_strokes( - GpencilBatchCache *cache, void *vedata, Object *ob, - bGPdata *gpd, bGPDlayer *gpl, bGPDframe *gpf, - const float opacity, const float tintcolor[4], const bool custonion) +static void gpencil_draw_onion_strokes(GpencilBatchCache *cache, + void *vedata, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDframe *gpf, + const float opacity, + const float tintcolor[4], + const bool custonion) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - Depsgraph *depsgraph = DRW_context_state_get()->depsgraph; - - float viewmatrix[4][4]; - - /* get parent matrix and save as static data */ - ED_gpencil_parent_location(depsgraph, ob, gpd, gpl, viewmatrix); - copy_m4_m4(gpf->runtime.viewmatrix, viewmatrix); - - for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - if (gp_style == NULL) { - continue; - } - copy_v4_v4(gps->runtime.tmp_stroke_rgba, gp_style->stroke_rgba); - copy_v4_v4(gps->runtime.tmp_fill_rgba, gp_style->fill_rgba); - - int id = stl->storage->shgroup_id; - /* check if stroke can be drawn */ - if (gpencil_can_draw_stroke(gp_style, gps, true, false) == false) { - continue; - } - /* limit the number of shading groups */ - if (id >= GPENCIL_MAX_SHGROUPS) { - continue; - } - - /* stroke */ - gpencil_add_stroke_vertexdata( - cache, ob, gpl, gpf, gps, opacity, tintcolor, - true, custonion); - - stl->storage->shgroup_id++; - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + Depsgraph *depsgraph = DRW_context_state_get()->depsgraph; + + float viewmatrix[4][4]; + + /* get parent matrix and save as static data */ + ED_gpencil_parent_location(depsgraph, ob, gpd, gpl, viewmatrix); + copy_m4_m4(gpf->runtime.viewmatrix, viewmatrix); + + for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + if (gp_style == NULL) { + continue; + } + copy_v4_v4(gps->runtime.tmp_stroke_rgba, gp_style->stroke_rgba); + copy_v4_v4(gps->runtime.tmp_fill_rgba, gp_style->fill_rgba); + + int id = stl->storage->shgroup_id; + /* check if stroke can be drawn */ + if (gpencil_can_draw_stroke(gp_style, gps, true, false) == false) { + continue; + } + /* limit the number of shading groups */ + if (id >= GPENCIL_MAX_SHGROUPS) { + continue; + } + + /* stroke */ + gpencil_add_stroke_vertexdata(cache, ob, gpl, gpf, gps, opacity, tintcolor, true, custonion); + + stl->storage->shgroup_id++; + } } /* draw onion-skinning for a layer */ -static void gpencil_draw_onionskins( - GpencilBatchCache *cache, void *vedata, - Object *ob, bGPdata *gpd, bGPDlayer *gpl, bGPDframe *gpf) +static void gpencil_draw_onionskins(GpencilBatchCache *cache, + void *vedata, + Object *ob, + bGPdata *gpd, + bGPDlayer *gpl, + bGPDframe *gpf) { - const float default_color[3] = { UNPACK3(U.gpencil_new_layer_col) }; - const float alpha = 1.0f; - float color[4]; - int idx; - float fac = 1.0f; - int step = 0; - int mode = 0; - bool colflag = false; - bGPDframe *gpf_loop = NULL; - int last = gpf->framenum; - - colflag = (bool)gpd->onion_flag & GP_ONION_GHOST_PREVCOL; - - /* ------------------------------- - * 1) Draw Previous Frames First - * ------------------------------- */ - step = gpd->gstep; - mode = gpd->onion_mode; - - if (gpd->onion_flag & GP_ONION_GHOST_PREVCOL) { - copy_v3_v3(color, gpd->gcolor_prev); - } - else { - copy_v3_v3(color, default_color); - } - - idx = 0; - for (bGPDframe *gf = gpf->prev; gf; gf = gf->prev) { - /* only selected frames */ - if ((mode == GP_ONION_MODE_SELECTED) && ((gf->flag & GP_FRAME_SELECT) == 0)) { - continue; - } - /* absolute range */ - if (mode == GP_ONION_MODE_ABSOLUTE) { - if ((gpf->framenum - gf->framenum) > step) { - break; - } - } - /* relative range */ - if (mode == GP_ONION_MODE_RELATIVE) { - idx++; - if (idx > step) { - break; - } - - } - /* alpha decreases with distance from curframe index */ - if (mode != GP_ONION_MODE_SELECTED) { - if (mode == GP_ONION_MODE_ABSOLUTE) { - fac = 1.0f - ((float)(gpf->framenum - gf->framenum) / (float)(step + 1)); - } - else { - fac = 1.0f - ((float)idx / (float)(step + 1)); - } - color[3] = alpha * fac * 0.66f; - } - else { - idx++; - fac = alpha - ((1.1f - (1.0f / (float)idx)) * 0.66f); - color[3] = fac; - } - - /* if loop option, save the frame to use later */ - if ((mode != GP_ONION_MODE_ABSOLUTE) && (gpd->onion_flag & GP_ONION_LOOP)) { - gpf_loop = gf; - } - - gpencil_get_onion_alpha(color, gpd); - gpencil_draw_onion_strokes(cache, vedata, ob, gpd, gpl, gf, color[3], color, colflag); - } - /* ------------------------------- - * 2) Now draw next frames - * ------------------------------- */ - step = gpd->gstep_next; - mode = gpd->onion_mode; - - if (gpd->onion_flag & GP_ONION_GHOST_NEXTCOL) { - copy_v3_v3(color, gpd->gcolor_next); - } - else { - copy_v3_v3(color, default_color); - } - - idx = 0; - for (bGPDframe *gf = gpf->next; gf; gf = gf->next) { - /* only selected frames */ - if ((mode == GP_ONION_MODE_SELECTED) && ((gf->flag & GP_FRAME_SELECT) == 0)) { - continue; - } - /* absolute range */ - if (mode == GP_ONION_MODE_ABSOLUTE) { - if ((gf->framenum - gpf->framenum) > step) { - break; - } - } - /* relative range */ - if (mode == GP_ONION_MODE_RELATIVE) { - idx++; - if (idx > step) { - break; - } - - } - /* alpha decreases with distance from curframe index */ - if (mode != GP_ONION_MODE_SELECTED) { - if (mode == GP_ONION_MODE_ABSOLUTE) { - fac = 1.0f - ((float)(gf->framenum - gpf->framenum) / (float)(step + 1)); - } - else { - fac = 1.0f - ((float)idx / (float)(step + 1)); - } - color[3] = alpha * fac * 0.66f; - } - else { - idx++; - fac = alpha - ((1.1f - (1.0f / (float)idx)) * 0.66f); - color[3] = fac; - } - - gpencil_get_onion_alpha(color, gpd); - gpencil_draw_onion_strokes(cache, vedata, ob, gpd, gpl, gf, color[3], color, colflag); - if (last < gf->framenum) { - last = gf->framenum; - } - } - - /* Draw first frame in blue for loop mode */ - if ((gpd->onion_flag & GP_ONION_LOOP) && (gpf_loop != NULL)) { - if ((last == gpf->framenum) || (gpf->next == NULL)) { - gpencil_get_onion_alpha(color, gpd); - gpencil_draw_onion_strokes( - cache, vedata, ob, gpd, gpl, - gpf_loop, color[3], color, colflag); - } - } + const float default_color[3] = {UNPACK3(U.gpencil_new_layer_col)}; + const float alpha = 1.0f; + float color[4]; + int idx; + float fac = 1.0f; + int step = 0; + int mode = 0; + bool colflag = false; + bGPDframe *gpf_loop = NULL; + int last = gpf->framenum; + + colflag = (bool)gpd->onion_flag & GP_ONION_GHOST_PREVCOL; + + /* ------------------------------- + * 1) Draw Previous Frames First + * ------------------------------- */ + step = gpd->gstep; + mode = gpd->onion_mode; + + if (gpd->onion_flag & GP_ONION_GHOST_PREVCOL) { + copy_v3_v3(color, gpd->gcolor_prev); + } + else { + copy_v3_v3(color, default_color); + } + + idx = 0; + for (bGPDframe *gf = gpf->prev; gf; gf = gf->prev) { + /* only selected frames */ + if ((mode == GP_ONION_MODE_SELECTED) && ((gf->flag & GP_FRAME_SELECT) == 0)) { + continue; + } + /* absolute range */ + if (mode == GP_ONION_MODE_ABSOLUTE) { + if ((gpf->framenum - gf->framenum) > step) { + break; + } + } + /* relative range */ + if (mode == GP_ONION_MODE_RELATIVE) { + idx++; + if (idx > step) { + break; + } + } + /* alpha decreases with distance from curframe index */ + if (mode != GP_ONION_MODE_SELECTED) { + if (mode == GP_ONION_MODE_ABSOLUTE) { + fac = 1.0f - ((float)(gpf->framenum - gf->framenum) / (float)(step + 1)); + } + else { + fac = 1.0f - ((float)idx / (float)(step + 1)); + } + color[3] = alpha * fac * 0.66f; + } + else { + idx++; + fac = alpha - ((1.1f - (1.0f / (float)idx)) * 0.66f); + color[3] = fac; + } + + /* if loop option, save the frame to use later */ + if ((mode != GP_ONION_MODE_ABSOLUTE) && (gpd->onion_flag & GP_ONION_LOOP)) { + gpf_loop = gf; + } + + gpencil_get_onion_alpha(color, gpd); + gpencil_draw_onion_strokes(cache, vedata, ob, gpd, gpl, gf, color[3], color, colflag); + } + /* ------------------------------- + * 2) Now draw next frames + * ------------------------------- */ + step = gpd->gstep_next; + mode = gpd->onion_mode; + + if (gpd->onion_flag & GP_ONION_GHOST_NEXTCOL) { + copy_v3_v3(color, gpd->gcolor_next); + } + else { + copy_v3_v3(color, default_color); + } + + idx = 0; + for (bGPDframe *gf = gpf->next; gf; gf = gf->next) { + /* only selected frames */ + if ((mode == GP_ONION_MODE_SELECTED) && ((gf->flag & GP_FRAME_SELECT) == 0)) { + continue; + } + /* absolute range */ + if (mode == GP_ONION_MODE_ABSOLUTE) { + if ((gf->framenum - gpf->framenum) > step) { + break; + } + } + /* relative range */ + if (mode == GP_ONION_MODE_RELATIVE) { + idx++; + if (idx > step) { + break; + } + } + /* alpha decreases with distance from curframe index */ + if (mode != GP_ONION_MODE_SELECTED) { + if (mode == GP_ONION_MODE_ABSOLUTE) { + fac = 1.0f - ((float)(gf->framenum - gpf->framenum) / (float)(step + 1)); + } + else { + fac = 1.0f - ((float)idx / (float)(step + 1)); + } + color[3] = alpha * fac * 0.66f; + } + else { + idx++; + fac = alpha - ((1.1f - (1.0f / (float)idx)) * 0.66f); + color[3] = fac; + } + + gpencil_get_onion_alpha(color, gpd); + gpencil_draw_onion_strokes(cache, vedata, ob, gpd, gpl, gf, color[3], color, colflag); + if (last < gf->framenum) { + last = gf->framenum; + } + } + + /* Draw first frame in blue for loop mode */ + if ((gpd->onion_flag & GP_ONION_LOOP) && (gpf_loop != NULL)) { + if ((last == gpf->framenum) || (gpf->next == NULL)) { + gpencil_get_onion_alpha(color, gpd); + gpencil_draw_onion_strokes(cache, vedata, ob, gpd, gpl, gpf_loop, color[3], color, colflag); + } + } } static void gpencil_copy_frame(bGPDframe *gpf, bGPDframe *derived_gpf) { - derived_gpf->prev = gpf->prev; - derived_gpf->next = gpf->next; - derived_gpf->framenum = gpf->framenum; - derived_gpf->flag = gpf->flag; - derived_gpf->key_type = gpf->key_type; - derived_gpf->runtime = gpf->runtime; - copy_m4_m4(derived_gpf->runtime.viewmatrix, gpf->runtime.viewmatrix); - - /* copy strokes */ - BLI_listbase_clear(&derived_gpf->strokes); - for (bGPDstroke *gps_src = gpf->strokes.first; gps_src; gps_src = gps_src->next) { - /* make copy of source stroke */ - bGPDstroke *gps_dst = BKE_gpencil_stroke_duplicate(gps_src); - BLI_addtail(&derived_gpf->strokes, gps_dst); - } + derived_gpf->prev = gpf->prev; + derived_gpf->next = gpf->next; + derived_gpf->framenum = gpf->framenum; + derived_gpf->flag = gpf->flag; + derived_gpf->key_type = gpf->key_type; + derived_gpf->runtime = gpf->runtime; + copy_m4_m4(derived_gpf->runtime.viewmatrix, gpf->runtime.viewmatrix); + + /* copy strokes */ + BLI_listbase_clear(&derived_gpf->strokes); + for (bGPDstroke *gps_src = gpf->strokes.first; gps_src; gps_src = gps_src->next) { + /* make copy of source stroke */ + bGPDstroke *gps_dst = BKE_gpencil_stroke_duplicate(gps_src); + BLI_addtail(&derived_gpf->strokes, gps_dst); + } } /* Triangulate stroke for high quality fill (this is done only if cache is null or stroke was modified) */ void DRW_gpencil_triangulate_stroke_fill(Object *ob, bGPDstroke *gps) { - BLI_assert(gps->totpoints >= 3); - - bGPdata *gpd = (bGPdata *)ob->data; - - /* allocate memory for temporary areas */ - gps->tot_triangles = gps->totpoints - 2; - uint(*tmp_triangles)[3] = MEM_mallocN(sizeof(*tmp_triangles) * gps->tot_triangles, "GP Stroke temp triangulation"); - float(*points2d)[2] = MEM_mallocN(sizeof(*points2d) * gps->totpoints, "GP Stroke temp 2d points"); - float(*uv)[2] = MEM_mallocN(sizeof(*uv) * gps->totpoints, "GP Stroke temp 2d uv data"); - - int direction = 0; - - /* convert to 2d and triangulate */ - BKE_gpencil_stroke_2d_flat(gps->points, gps->totpoints, points2d, &direction); - BLI_polyfill_calc(points2d, (uint)gps->totpoints, direction, tmp_triangles); - - /* calc texture coordinates automatically */ - float minv[2]; - float maxv[2]; - /* first needs bounding box data */ - if (gpd->flag & GP_DATA_UV_ADAPTIVE) { - gpencil_calc_2d_bounding_box(points2d, gps->totpoints, minv, maxv); - } - else { - ARRAY_SET_ITEMS(minv, -1.0f, -1.0f); - ARRAY_SET_ITEMS(maxv, 1.0f, 1.0f); - } - - /* calc uv data */ - gpencil_calc_stroke_fill_uv(points2d, gps->totpoints, minv, maxv, uv); - - /* Number of triangles */ - gps->tot_triangles = gps->totpoints - 2; - /* save triangulation data in stroke cache */ - if (gps->tot_triangles > 0) { - if (gps->triangles == NULL) { - gps->triangles = MEM_callocN(sizeof(*gps->triangles) * gps->tot_triangles, "GP Stroke triangulation"); - } - else { - gps->triangles = MEM_recallocN(gps->triangles, sizeof(*gps->triangles) * gps->tot_triangles); - } - - for (int i = 0; i < gps->tot_triangles; i++) { - bGPDtriangle *stroke_triangle = &gps->triangles[i]; - memcpy(gps->triangles[i].verts, tmp_triangles[i], sizeof(uint[3])); - /* copy texture coordinates */ - copy_v2_v2(stroke_triangle->uv[0], uv[tmp_triangles[i][0]]); - copy_v2_v2(stroke_triangle->uv[1], uv[tmp_triangles[i][1]]); - copy_v2_v2(stroke_triangle->uv[2], uv[tmp_triangles[i][2]]); - } - } - else { - /* No triangles needed - Free anything allocated previously */ - if (gps->triangles) { - MEM_freeN(gps->triangles); - } - - gps->triangles = NULL; - } - - /* disable recalculation flag */ - if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { - gps->flag &= ~GP_STROKE_RECALC_GEOMETRY; - } - - /* clear memory */ - MEM_SAFE_FREE(tmp_triangles); - MEM_SAFE_FREE(points2d); - MEM_SAFE_FREE(uv); + BLI_assert(gps->totpoints >= 3); + + bGPdata *gpd = (bGPdata *)ob->data; + + /* allocate memory for temporary areas */ + gps->tot_triangles = gps->totpoints - 2; + uint(*tmp_triangles)[3] = MEM_mallocN(sizeof(*tmp_triangles) * gps->tot_triangles, + "GP Stroke temp triangulation"); + float(*points2d)[2] = MEM_mallocN(sizeof(*points2d) * gps->totpoints, + "GP Stroke temp 2d points"); + float(*uv)[2] = MEM_mallocN(sizeof(*uv) * gps->totpoints, "GP Stroke temp 2d uv data"); + + int direction = 0; + + /* convert to 2d and triangulate */ + BKE_gpencil_stroke_2d_flat(gps->points, gps->totpoints, points2d, &direction); + BLI_polyfill_calc(points2d, (uint)gps->totpoints, direction, tmp_triangles); + + /* calc texture coordinates automatically */ + float minv[2]; + float maxv[2]; + /* first needs bounding box data */ + if (gpd->flag & GP_DATA_UV_ADAPTIVE) { + gpencil_calc_2d_bounding_box(points2d, gps->totpoints, minv, maxv); + } + else { + ARRAY_SET_ITEMS(minv, -1.0f, -1.0f); + ARRAY_SET_ITEMS(maxv, 1.0f, 1.0f); + } + + /* calc uv data */ + gpencil_calc_stroke_fill_uv(points2d, gps->totpoints, minv, maxv, uv); + + /* Number of triangles */ + gps->tot_triangles = gps->totpoints - 2; + /* save triangulation data in stroke cache */ + if (gps->tot_triangles > 0) { + if (gps->triangles == NULL) { + gps->triangles = MEM_callocN(sizeof(*gps->triangles) * gps->tot_triangles, + "GP Stroke triangulation"); + } + else { + gps->triangles = MEM_recallocN(gps->triangles, sizeof(*gps->triangles) * gps->tot_triangles); + } + + for (int i = 0; i < gps->tot_triangles; i++) { + bGPDtriangle *stroke_triangle = &gps->triangles[i]; + memcpy(gps->triangles[i].verts, tmp_triangles[i], sizeof(uint[3])); + /* copy texture coordinates */ + copy_v2_v2(stroke_triangle->uv[0], uv[tmp_triangles[i][0]]); + copy_v2_v2(stroke_triangle->uv[1], uv[tmp_triangles[i][1]]); + copy_v2_v2(stroke_triangle->uv[2], uv[tmp_triangles[i][2]]); + } + } + else { + /* No triangles needed - Free anything allocated previously */ + if (gps->triangles) { + MEM_freeN(gps->triangles); + } + + gps->triangles = NULL; + } + + /* disable recalculation flag */ + if (gps->flag & GP_STROKE_RECALC_GEOMETRY) { + gps->flag &= ~GP_STROKE_RECALC_GEOMETRY; + } + + /* clear memory */ + MEM_SAFE_FREE(tmp_triangles); + MEM_SAFE_FREE(points2d); + MEM_SAFE_FREE(uv); } /* draw stroke in drawing buffer */ -void DRW_gpencil_populate_buffer_strokes(GPENCIL_e_data *e_data, void *vedata, ToolSettings *ts, Object *ob) +void DRW_gpencil_populate_buffer_strokes(GPENCIL_e_data *e_data, + void *vedata, + ToolSettings *ts, + Object *ob) { - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; - Brush *brush = BKE_paint_brush(&ts->gp_paint->paint); - bGPdata *gpd_eval = ob->data; - /* need the original to avoid cow overhead while drawing */ - bGPdata *gpd = (bGPdata *)DEG_get_original_id(&gpd_eval->id); - - MaterialGPencilStyle *gp_style = NULL; - float obscale = mat4_to_scale(ob->obmat); - - /* use the brush material */ - Material *ma = BKE_gpencil_object_material_get_from_brush(ob, brush); - if (ma != NULL) { - gp_style = ma->gp_style; - } - /* this is not common, but avoid any special situations when brush could be without material */ - if (gp_style == NULL) { - gp_style = BKE_material_gpencil_settings_get(ob, ob->actcol); - } - - /* drawing strokes */ - /* Check if may need to draw the active stroke cache, only if this layer is the active layer - * that is being edited. (Stroke buffer is currently stored in gp-data) - */ - if (gpd->runtime.sbuffer_size > 0) { - if ((gpd->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0) { - /* It should also be noted that sbuffer contains temporary point types - * i.e. tGPspoints NOT bGPDspoints - */ - short lthick = brush->size * obscale; - - /* save gradient info */ - stl->storage->gradient_f = brush->gpencil_settings->gradient_f; - copy_v2_v2(stl->storage->gradient_s, brush->gpencil_settings->gradient_s); - stl->storage->use_follow_path = (gp_style->flag & GP_STYLE_COLOR_LOCK_DOTS) ? 0 : 1; - - /* if only one point, don't need to draw buffer because the user has no time to see it */ - if (gpd->runtime.sbuffer_size > 1) { - if ((gp_style) && (gp_style->mode == GP_STYLE_MODE_LINE)) { - stl->g_data->shgrps_drawing_stroke = DRW_gpencil_shgroup_stroke_create( - e_data, vedata, psl->drawing_pass, e_data->gpencil_stroke_sh, NULL, - gpd, NULL, NULL, gp_style, -1, - false, 1.0f, (const int *)stl->storage->shade_render); - } - else { - stl->g_data->shgrps_drawing_stroke = DRW_gpencil_shgroup_point_create( - e_data, vedata, psl->drawing_pass, e_data->gpencil_point_sh, NULL, - gpd, NULL, NULL, gp_style, -1, - false, 1.0f, (const int *)stl->storage->shade_render); - } - - /* clean previous version of the batch */ - if (stl->storage->buffer_stroke) { - GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_stroke); - MEM_SAFE_FREE(e_data->batch_buffer_stroke); - stl->storage->buffer_stroke = false; - } - - /* use unit matrix because the buffer is in screen space and does not need conversion */ - if (gpd->runtime.mode == GP_STYLE_MODE_LINE) { - e_data->batch_buffer_stroke = DRW_gpencil_get_buffer_stroke_geom( - gpd, lthick); - } - else { - e_data->batch_buffer_stroke = DRW_gpencil_get_buffer_point_geom( - gpd, lthick); - } - - /* buffer strokes, must show stroke always */ - DRW_shgroup_call_add( - stl->g_data->shgrps_drawing_stroke, - e_data->batch_buffer_stroke, - stl->storage->unit_matrix); - - if ((gpd->runtime.sbuffer_size >= 3) && - (gpd->runtime.sfill[3] > GPENCIL_ALPHA_OPACITY_THRESH) && - ((gpd->runtime.sbuffer_sflag & GP_STROKE_NOFILL) == 0) && - ((brush->gpencil_settings->flag & GP_BRUSH_DISSABLE_LASSO) == 0) && - (gp_style->flag & GP_STYLE_FILL_SHOW)) - { - /* if not solid, fill is simulated with solid color */ - if (gpd->runtime.bfill_style > 0) { - gpd->runtime.sfill[3] = 0.5f; - } - stl->g_data->shgrps_drawing_fill = DRW_shgroup_create( - e_data->gpencil_drawing_fill_sh, psl->drawing_pass); - - /* clean previous version of the batch */ - if (stl->storage->buffer_fill) { - GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_fill); - MEM_SAFE_FREE(e_data->batch_buffer_fill); - stl->storage->buffer_fill = false; - } - - e_data->batch_buffer_fill = DRW_gpencil_get_buffer_fill_geom(gpd); - DRW_shgroup_call_add( - stl->g_data->shgrps_drawing_fill, - e_data->batch_buffer_fill, - stl->storage->unit_matrix); - stl->storage->buffer_fill = true; - } - stl->storage->buffer_stroke = true; - } - } - } - - /* control points for primitives and speed guide */ - const bool is_cppoint = (gpd->runtime.tot_cp_points > 0); - const bool is_speed_guide = (ts->gp_sculpt.guide.use_guide && (draw_ctx->object_mode == OB_MODE_PAINT_GPENCIL)); - const bool is_show_gizmo = (((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) && ((v3d->gizmo_flag & V3D_GIZMO_HIDE_TOOL) == 0)); - - if ((overlay) && (is_cppoint || is_speed_guide) && (is_show_gizmo) && - ((gpd->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0)) - { - DRWShadingGroup *shgrp = DRW_shgroup_create( - e_data->gpencil_edit_point_sh, psl->drawing_pass); - const float *viewport_size = DRW_viewport_size_get(); - DRW_shgroup_uniform_vec2(shgrp, "Viewport", viewport_size, 1); - - /* clean previous version of the batch */ - if (stl->storage->buffer_ctrlpoint) { - GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_ctrlpoint); - MEM_SAFE_FREE(e_data->batch_buffer_ctrlpoint); - stl->storage->buffer_ctrlpoint = false; - } - - e_data->batch_buffer_ctrlpoint = DRW_gpencil_get_buffer_ctrlpoint_geom(gpd); - - DRW_shgroup_call_add( - shgrp, - e_data->batch_buffer_ctrlpoint, - stl->storage->unit_matrix); - - stl->storage->buffer_ctrlpoint = true; - } + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; + Brush *brush = BKE_paint_brush(&ts->gp_paint->paint); + bGPdata *gpd_eval = ob->data; + /* need the original to avoid cow overhead while drawing */ + bGPdata *gpd = (bGPdata *)DEG_get_original_id(&gpd_eval->id); + + MaterialGPencilStyle *gp_style = NULL; + float obscale = mat4_to_scale(ob->obmat); + + /* use the brush material */ + Material *ma = BKE_gpencil_object_material_get_from_brush(ob, brush); + if (ma != NULL) { + gp_style = ma->gp_style; + } + /* this is not common, but avoid any special situations when brush could be without material */ + if (gp_style == NULL) { + gp_style = BKE_material_gpencil_settings_get(ob, ob->actcol); + } + + /* drawing strokes */ + /* Check if may need to draw the active stroke cache, only if this layer is the active layer + * that is being edited. (Stroke buffer is currently stored in gp-data) + */ + if (gpd->runtime.sbuffer_size > 0) { + if ((gpd->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0) { + /* It should also be noted that sbuffer contains temporary point types + * i.e. tGPspoints NOT bGPDspoints + */ + short lthick = brush->size * obscale; + + /* save gradient info */ + stl->storage->gradient_f = brush->gpencil_settings->gradient_f; + copy_v2_v2(stl->storage->gradient_s, brush->gpencil_settings->gradient_s); + stl->storage->use_follow_path = (gp_style->flag & GP_STYLE_COLOR_LOCK_DOTS) ? 0 : 1; + + /* if only one point, don't need to draw buffer because the user has no time to see it */ + if (gpd->runtime.sbuffer_size > 1) { + if ((gp_style) && (gp_style->mode == GP_STYLE_MODE_LINE)) { + stl->g_data->shgrps_drawing_stroke = DRW_gpencil_shgroup_stroke_create( + e_data, + vedata, + psl->drawing_pass, + e_data->gpencil_stroke_sh, + NULL, + gpd, + NULL, + NULL, + gp_style, + -1, + false, + 1.0f, + (const int *)stl->storage->shade_render); + } + else { + stl->g_data->shgrps_drawing_stroke = DRW_gpencil_shgroup_point_create( + e_data, + vedata, + psl->drawing_pass, + e_data->gpencil_point_sh, + NULL, + gpd, + NULL, + NULL, + gp_style, + -1, + false, + 1.0f, + (const int *)stl->storage->shade_render); + } + + /* clean previous version of the batch */ + if (stl->storage->buffer_stroke) { + GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_stroke); + MEM_SAFE_FREE(e_data->batch_buffer_stroke); + stl->storage->buffer_stroke = false; + } + + /* use unit matrix because the buffer is in screen space and does not need conversion */ + if (gpd->runtime.mode == GP_STYLE_MODE_LINE) { + e_data->batch_buffer_stroke = DRW_gpencil_get_buffer_stroke_geom(gpd, lthick); + } + else { + e_data->batch_buffer_stroke = DRW_gpencil_get_buffer_point_geom(gpd, lthick); + } + + /* buffer strokes, must show stroke always */ + DRW_shgroup_call_add(stl->g_data->shgrps_drawing_stroke, + e_data->batch_buffer_stroke, + stl->storage->unit_matrix); + + if ((gpd->runtime.sbuffer_size >= 3) && + (gpd->runtime.sfill[3] > GPENCIL_ALPHA_OPACITY_THRESH) && + ((gpd->runtime.sbuffer_sflag & GP_STROKE_NOFILL) == 0) && + ((brush->gpencil_settings->flag & GP_BRUSH_DISSABLE_LASSO) == 0) && + (gp_style->flag & GP_STYLE_FILL_SHOW)) { + /* if not solid, fill is simulated with solid color */ + if (gpd->runtime.bfill_style > 0) { + gpd->runtime.sfill[3] = 0.5f; + } + stl->g_data->shgrps_drawing_fill = DRW_shgroup_create(e_data->gpencil_drawing_fill_sh, + psl->drawing_pass); + + /* clean previous version of the batch */ + if (stl->storage->buffer_fill) { + GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_fill); + MEM_SAFE_FREE(e_data->batch_buffer_fill); + stl->storage->buffer_fill = false; + } + + e_data->batch_buffer_fill = DRW_gpencil_get_buffer_fill_geom(gpd); + DRW_shgroup_call_add(stl->g_data->shgrps_drawing_fill, + e_data->batch_buffer_fill, + stl->storage->unit_matrix); + stl->storage->buffer_fill = true; + } + stl->storage->buffer_stroke = true; + } + } + } + + /* control points for primitives and speed guide */ + const bool is_cppoint = (gpd->runtime.tot_cp_points > 0); + const bool is_speed_guide = (ts->gp_sculpt.guide.use_guide && + (draw_ctx->object_mode == OB_MODE_PAINT_GPENCIL)); + const bool is_show_gizmo = (((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) && + ((v3d->gizmo_flag & V3D_GIZMO_HIDE_TOOL) == 0)); + + if ((overlay) && (is_cppoint || is_speed_guide) && (is_show_gizmo) && + ((gpd->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0)) { + DRWShadingGroup *shgrp = DRW_shgroup_create(e_data->gpencil_edit_point_sh, psl->drawing_pass); + const float *viewport_size = DRW_viewport_size_get(); + DRW_shgroup_uniform_vec2(shgrp, "Viewport", viewport_size, 1); + + /* clean previous version of the batch */ + if (stl->storage->buffer_ctrlpoint) { + GPU_BATCH_DISCARD_SAFE(e_data->batch_buffer_ctrlpoint); + MEM_SAFE_FREE(e_data->batch_buffer_ctrlpoint); + stl->storage->buffer_ctrlpoint = false; + } + + e_data->batch_buffer_ctrlpoint = DRW_gpencil_get_buffer_ctrlpoint_geom(gpd); + + DRW_shgroup_call_add(shgrp, e_data->batch_buffer_ctrlpoint, stl->storage->unit_matrix); + + stl->storage->buffer_ctrlpoint = true; + } } /* create all missing batches */ static void DRW_gpencil_create_batches(GpencilBatchCache *cache) { - if ((cache->b_point.vbo) && (cache->b_point.batch == NULL)) { - cache->b_point.batch = GPU_batch_create_ex(GPU_PRIM_POINTS, cache->b_point.vbo, NULL, GPU_BATCH_OWNS_VBO); - } - if ((cache->b_stroke.vbo) && (cache->b_stroke.batch == NULL)) { - cache->b_stroke.batch = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP_ADJ, cache->b_stroke.vbo, NULL, GPU_BATCH_OWNS_VBO); - } - if ((cache->b_fill.vbo) && (cache->b_fill.batch == NULL)) { - cache->b_fill.batch = GPU_batch_create_ex(GPU_PRIM_TRIS, cache->b_fill.vbo, NULL, GPU_BATCH_OWNS_VBO); - } - if ((cache->b_edit.vbo) && (cache->b_edit.batch == NULL)) { - cache->b_edit.batch = GPU_batch_create_ex(GPU_PRIM_POINTS, cache->b_edit.vbo, NULL, GPU_BATCH_OWNS_VBO); - } - if ((cache->b_edlin.vbo) && (cache->b_edlin.batch == NULL)) { - cache->b_edlin.batch = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, cache->b_edlin.vbo, NULL, GPU_BATCH_OWNS_VBO); - } + if ((cache->b_point.vbo) && (cache->b_point.batch == NULL)) { + cache->b_point.batch = GPU_batch_create_ex( + GPU_PRIM_POINTS, cache->b_point.vbo, NULL, GPU_BATCH_OWNS_VBO); + } + if ((cache->b_stroke.vbo) && (cache->b_stroke.batch == NULL)) { + cache->b_stroke.batch = GPU_batch_create_ex( + GPU_PRIM_LINE_STRIP_ADJ, cache->b_stroke.vbo, NULL, GPU_BATCH_OWNS_VBO); + } + if ((cache->b_fill.vbo) && (cache->b_fill.batch == NULL)) { + cache->b_fill.batch = GPU_batch_create_ex( + GPU_PRIM_TRIS, cache->b_fill.vbo, NULL, GPU_BATCH_OWNS_VBO); + } + if ((cache->b_edit.vbo) && (cache->b_edit.batch == NULL)) { + cache->b_edit.batch = GPU_batch_create_ex( + GPU_PRIM_POINTS, cache->b_edit.vbo, NULL, GPU_BATCH_OWNS_VBO); + } + if ((cache->b_edlin.vbo) && (cache->b_edlin.batch == NULL)) { + cache->b_edlin.batch = GPU_batch_create_ex( + GPU_PRIM_LINE_STRIP, cache->b_edlin.vbo, NULL, GPU_BATCH_OWNS_VBO); + } } /* create all shading groups */ -static void DRW_gpencil_shgroups_create( - GPENCIL_e_data *e_data, void *vedata, - Object *ob, - GpencilBatchCache *cache, tGPencilObjectCache *cache_ob) +static void DRW_gpencil_shgroups_create(GPENCIL_e_data *e_data, + void *vedata, + Object *ob, + GpencilBatchCache *cache, + tGPencilObjectCache *cache_ob) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - bGPdata *gpd = (bGPdata *)ob->data; - DRWPass *stroke_pass = GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : psl->stroke_pass_2d; - - GpencilBatchGroup *elm = NULL; - DRWShadingGroup *shgrp = NULL; - tGPencilObjectCache_shgrp *array_elm = NULL; - - bGPDlayer *gpl = NULL; - bGPDlayer *gpl_prev = NULL; - int idx = 0; - bool tag_first = false; - - int start_stroke = 0; - int start_point = 0; - int start_fill = 0; - int start_edit = 0; - int start_edlin = 0; - - for (int i = 0; i < cache->grp_used; i++) { - elm = &cache->grp_cache[i]; - array_elm = &cache_ob->shgrp_array[idx]; - const float scale = cache_ob->scale; - - /* save last group when change */ - if (gpl_prev == NULL) { - gpl_prev = elm->gpl; - tag_first = true; - } - else { - if (elm->gpl != gpl_prev) { - /* first layer is always blend Normal */ - array_elm->mode = idx == 0 ? eGplBlendMode_Normal: gpl->blend_mode; - array_elm->end_shgrp = shgrp; - gpl_prev = elm->gpl; - tag_first = true; - idx++; - } - } - - gpl = elm->gpl; - bGPDframe *gpf = elm->gpf; - bGPDstroke *gps = elm->gps; - MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); - /* if the user switch used material from data to object, - * the material could not be available */ - if (gp_style == NULL) { - break; - } - - /* limit the number of shading groups */ - if (i >= GPENCIL_MAX_SHGROUPS) { - break; - } - - switch (elm->type) { - case eGpencilBatchGroupType_Stroke: - { - const int len = elm->vertex_idx - start_stroke; - - shgrp = DRW_gpencil_shgroup_stroke_create( - e_data, vedata, stroke_pass, e_data->gpencil_stroke_sh, - ob, gpd, gpl, gps, gp_style, stl->storage->shgroup_id, elm->onion, - scale, cache_ob->shading_type); - - DRW_shgroup_call_range_add( - shgrp, cache->b_stroke.batch, - (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : cache_ob->obmat, - start_stroke, len); - - stl->storage->shgroup_id++; - start_stroke = elm->vertex_idx; - break; - } - case eGpencilBatchGroupType_Point: - { - const int len = elm->vertex_idx - start_point; - - shgrp = DRW_gpencil_shgroup_point_create( - e_data, vedata, stroke_pass, e_data->gpencil_point_sh, - ob, gpd, gpl, gps, gp_style, stl->storage->shgroup_id, elm->onion, - scale, cache_ob->shading_type); - - DRW_shgroup_call_range_add( - shgrp, cache->b_point.batch, - (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : cache_ob->obmat, - start_point, len); - - stl->storage->shgroup_id++; - start_point = elm->vertex_idx; - break; - } - case eGpencilBatchGroupType_Fill: - { - const int len = elm->vertex_idx - start_fill; - - shgrp = DRW_gpencil_shgroup_fill_create( - e_data, vedata, stroke_pass, e_data->gpencil_fill_sh, - ob, gpd, gpl, gp_style, stl->storage->shgroup_id, - cache_ob->shading_type); - - DRW_shgroup_call_range_add( - shgrp, cache->b_fill.batch, - (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : cache_ob->obmat, - start_fill, len); - - stl->storage->shgroup_id++; - start_fill = elm->vertex_idx; - break; - } - case eGpencilBatchGroupType_Edit: - { - if (stl->g_data->shgrps_edit_point) { - const int len = elm->vertex_idx - start_edit; - /* use always the same group */ - DRW_shgroup_call_range_add( - stl->g_data->shgrps_edit_point, - cache->b_edit.batch, - (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : cache_ob->obmat, - start_edit, len); - - start_edit = elm->vertex_idx; - } - break; - } - case eGpencilBatchGroupType_Edlin: - { - if (stl->g_data->shgrps_edit_line) { - const int len = elm->vertex_idx - start_edlin; - /* use always the same group */ - DRW_shgroup_call_range_add( - stl->g_data->shgrps_edit_line, - cache->b_edlin.batch, - (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : cache_ob->obmat, - start_edlin, len); - - start_edlin = elm->vertex_idx; - } - break; - } - default: - { - break; - } - } - /* save first group */ - if ((shgrp != NULL) && (tag_first)) { - array_elm = &cache_ob->shgrp_array[idx]; - array_elm->mode = idx == 0 ? eGplBlendMode_Normal: gpl->blend_mode; - array_elm->clamp_layer = gpl->flag & GP_LAYER_USE_MASK; - array_elm->blend_opacity = gpl->opacity; - array_elm->init_shgrp = shgrp; - cache_ob->tot_layers++; - - tag_first = false; - } - } - - /* save last group */ - if (shgrp != NULL) { - array_elm->mode = idx == 0 ? eGplBlendMode_Normal : gpl->blend_mode; - array_elm->end_shgrp = shgrp; - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + bGPdata *gpd = (bGPdata *)ob->data; + DRWPass *stroke_pass = GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : psl->stroke_pass_2d; + + GpencilBatchGroup *elm = NULL; + DRWShadingGroup *shgrp = NULL; + tGPencilObjectCache_shgrp *array_elm = NULL; + + bGPDlayer *gpl = NULL; + bGPDlayer *gpl_prev = NULL; + int idx = 0; + bool tag_first = false; + + int start_stroke = 0; + int start_point = 0; + int start_fill = 0; + int start_edit = 0; + int start_edlin = 0; + + for (int i = 0; i < cache->grp_used; i++) { + elm = &cache->grp_cache[i]; + array_elm = &cache_ob->shgrp_array[idx]; + const float scale = cache_ob->scale; + + /* save last group when change */ + if (gpl_prev == NULL) { + gpl_prev = elm->gpl; + tag_first = true; + } + else { + if (elm->gpl != gpl_prev) { + /* first layer is always blend Normal */ + array_elm->mode = idx == 0 ? eGplBlendMode_Normal : gpl->blend_mode; + array_elm->end_shgrp = shgrp; + gpl_prev = elm->gpl; + tag_first = true; + idx++; + } + } + + gpl = elm->gpl; + bGPDframe *gpf = elm->gpf; + bGPDstroke *gps = elm->gps; + MaterialGPencilStyle *gp_style = BKE_material_gpencil_settings_get(ob, gps->mat_nr + 1); + /* if the user switch used material from data to object, + * the material could not be available */ + if (gp_style == NULL) { + break; + } + + /* limit the number of shading groups */ + if (i >= GPENCIL_MAX_SHGROUPS) { + break; + } + + switch (elm->type) { + case eGpencilBatchGroupType_Stroke: { + const int len = elm->vertex_idx - start_stroke; + + shgrp = DRW_gpencil_shgroup_stroke_create(e_data, + vedata, + stroke_pass, + e_data->gpencil_stroke_sh, + ob, + gpd, + gpl, + gps, + gp_style, + stl->storage->shgroup_id, + elm->onion, + scale, + cache_ob->shading_type); + + DRW_shgroup_call_range_add(shgrp, + cache->b_stroke.batch, + (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : + cache_ob->obmat, + start_stroke, + len); + + stl->storage->shgroup_id++; + start_stroke = elm->vertex_idx; + break; + } + case eGpencilBatchGroupType_Point: { + const int len = elm->vertex_idx - start_point; + + shgrp = DRW_gpencil_shgroup_point_create(e_data, + vedata, + stroke_pass, + e_data->gpencil_point_sh, + ob, + gpd, + gpl, + gps, + gp_style, + stl->storage->shgroup_id, + elm->onion, + scale, + cache_ob->shading_type); + + DRW_shgroup_call_range_add(shgrp, + cache->b_point.batch, + (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : + cache_ob->obmat, + start_point, + len); + + stl->storage->shgroup_id++; + start_point = elm->vertex_idx; + break; + } + case eGpencilBatchGroupType_Fill: { + const int len = elm->vertex_idx - start_fill; + + shgrp = DRW_gpencil_shgroup_fill_create(e_data, + vedata, + stroke_pass, + e_data->gpencil_fill_sh, + ob, + gpd, + gpl, + gp_style, + stl->storage->shgroup_id, + cache_ob->shading_type); + + DRW_shgroup_call_range_add(shgrp, + cache->b_fill.batch, + (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : + cache_ob->obmat, + start_fill, + len); + + stl->storage->shgroup_id++; + start_fill = elm->vertex_idx; + break; + } + case eGpencilBatchGroupType_Edit: { + if (stl->g_data->shgrps_edit_point) { + const int len = elm->vertex_idx - start_edit; + /* use always the same group */ + DRW_shgroup_call_range_add(stl->g_data->shgrps_edit_point, + cache->b_edit.batch, + (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : + cache_ob->obmat, + start_edit, + len); + + start_edit = elm->vertex_idx; + } + break; + } + case eGpencilBatchGroupType_Edlin: { + if (stl->g_data->shgrps_edit_line) { + const int len = elm->vertex_idx - start_edlin; + /* use always the same group */ + DRW_shgroup_call_range_add(stl->g_data->shgrps_edit_line, + cache->b_edlin.batch, + (!cache_ob->is_dup_ob) ? gpf->runtime.viewmatrix : + cache_ob->obmat, + start_edlin, + len); + + start_edlin = elm->vertex_idx; + } + break; + } + default: { + break; + } + } + /* save first group */ + if ((shgrp != NULL) && (tag_first)) { + array_elm = &cache_ob->shgrp_array[idx]; + array_elm->mode = idx == 0 ? eGplBlendMode_Normal : gpl->blend_mode; + array_elm->clamp_layer = gpl->flag & GP_LAYER_USE_MASK; + array_elm->blend_opacity = gpl->opacity; + array_elm->init_shgrp = shgrp; + cache_ob->tot_layers++; + + tag_first = false; + } + } + + /* save last group */ + if (shgrp != NULL) { + array_elm->mode = idx == 0 ? eGplBlendMode_Normal : gpl->blend_mode; + array_elm->end_shgrp = shgrp; + } } /* populate a datablock for multiedit (no onions, no modifiers) */ -void DRW_gpencil_populate_multiedit( - GPENCIL_e_data *e_data, void *vedata, Object *ob, - tGPencilObjectCache *cache_ob) +void DRW_gpencil_populate_multiedit(GPENCIL_e_data *e_data, + void *vedata, + Object *ob, + tGPencilObjectCache *cache_ob) { - bGPdata *gpd = (bGPdata *)ob->data; - bGPDframe *gpf = NULL; - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - int cfra_eval = (int)DEG_get_ctime(draw_ctx->depsgraph); - GpencilBatchCache *cache = gpencil_batch_cache_get(ob, cfra_eval); - - /* check if playing animation */ - const bool playing = stl->storage->is_playing; - - /* calc max size of VBOs */ - gpencil_calc_vertex(stl, cache_ob, cache, gpd, cfra_eval); - - /* draw strokes */ - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - /* don't draw layer if hidden */ - if (gpl->flag & GP_LAYER_HIDE) { - continue; - } - - /* list of frames to draw */ - if (!playing) { - for (gpf = gpl->frames.first; gpf; gpf = gpf->next) { - if ((gpf == gpl->actframe) || (gpf->flag & GP_FRAME_SELECT)) { - gpencil_draw_strokes( - cache, e_data, vedata, ob, gpd, gpl, gpf, gpf, - gpl->opacity, gpl->tintcolor, false, cache_ob); - } - } - } - else { - gpf = BKE_gpencil_layer_getframe(gpl, cfra_eval, GP_GETFRAME_USE_PREV); - if (gpf) { - gpencil_draw_strokes( - cache, e_data, vedata, ob, gpd, gpl, gpf, gpf, - gpl->opacity, gpl->tintcolor, false, cache_ob); - } - } - - } - - /* create batchs and shading groups */ - DRW_gpencil_create_batches(cache); - DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); - - cache->is_dirty = false; + bGPdata *gpd = (bGPdata *)ob->data; + bGPDframe *gpf = NULL; + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + int cfra_eval = (int)DEG_get_ctime(draw_ctx->depsgraph); + GpencilBatchCache *cache = gpencil_batch_cache_get(ob, cfra_eval); + + /* check if playing animation */ + const bool playing = stl->storage->is_playing; + + /* calc max size of VBOs */ + gpencil_calc_vertex(stl, cache_ob, cache, gpd, cfra_eval); + + /* draw strokes */ + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + /* don't draw layer if hidden */ + if (gpl->flag & GP_LAYER_HIDE) { + continue; + } + + /* list of frames to draw */ + if (!playing) { + for (gpf = gpl->frames.first; gpf; gpf = gpf->next) { + if ((gpf == gpl->actframe) || (gpf->flag & GP_FRAME_SELECT)) { + gpencil_draw_strokes(cache, + e_data, + vedata, + ob, + gpd, + gpl, + gpf, + gpf, + gpl->opacity, + gpl->tintcolor, + false, + cache_ob); + } + } + } + else { + gpf = BKE_gpencil_layer_getframe(gpl, cfra_eval, GP_GETFRAME_USE_PREV); + if (gpf) { + gpencil_draw_strokes(cache, + e_data, + vedata, + ob, + gpd, + gpl, + gpf, + gpf, + gpl->opacity, + gpl->tintcolor, + false, + cache_ob); + } + } + } + + /* create batchs and shading groups */ + DRW_gpencil_create_batches(cache); + DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); + + cache->is_dirty = false; } /* helper for populate a complete grease pencil datablock */ -void DRW_gpencil_populate_datablock( - GPENCIL_e_data *e_data, void *vedata, - Object *ob, - tGPencilObjectCache *cache_ob) +void DRW_gpencil_populate_datablock(GPENCIL_e_data *e_data, + void *vedata, + Object *ob, + tGPencilObjectCache *cache_ob) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const ViewLayer *view_layer = DEG_get_evaluated_view_layer(draw_ctx->depsgraph); - Scene *scene = draw_ctx->scene; - - bGPdata *gpd = (bGPdata *)ob->data; - - View3D *v3d = draw_ctx->v3d; - int cfra_eval = (int)DEG_get_ctime(draw_ctx->depsgraph); - - bGPDframe *derived_gpf = NULL; - const bool main_onion = v3d != NULL ? (v3d->gp_flag & V3D_GP_SHOW_ONION_SKIN) : true; - const bool do_onion = (bool)((gpd->flag & GP_DATA_STROKE_WEIGHTMODE) == 0) && - main_onion && DRW_gpencil_onion_active(gpd); - const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; - const bool time_remap = BKE_gpencil_has_time_modifiers(ob); - - float opacity; - bGPDframe *gpf = NULL; - bGPDlayer *gpl_active = BKE_gpencil_layer_getactive(gpd); - - /* check if playing animation */ - const bool playing = stl->storage->is_playing; - - GpencilBatchCache *cache = gpencil_batch_cache_get(ob, cfra_eval); - - /* if object is duplicate, only create shading groups */ - if (cache_ob->is_dup_ob) { - DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); - return; - } - - /* calc max size of VBOs */ - gpencil_calc_vertex(stl, cache_ob, cache, gpd, cfra_eval); - - /* init general modifiers data */ - if (!stl->storage->simplify_modif) { - if ((cache->is_dirty) && (ob->greasepencil_modifiers.first)) { - BKE_gpencil_lattice_init(ob); - } - } - /* draw normal strokes */ - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - /* don't draw layer if hidden */ - if (gpl->flag & GP_LAYER_HIDE) { - continue; - } - - const bool is_solomode = GPENCIL_PAINT_MODE(gpd) && - (!playing) && (!stl->storage->is_render) && - (gpl->flag & GP_LAYER_SOLO_MODE); - - /* filter view layer to gp layers in the same view layer (for compo) */ - if ((stl->storage->is_render) && (gpl->viewlayername[0] != '\0')) { - if (!STREQ(view_layer->name, gpl->viewlayername)) { - continue; - } - } - - /* remap time */ - int remap_cfra = cfra_eval; - if ((time_remap) && (!stl->storage->simplify_modif)) { - remap_cfra = BKE_gpencil_time_modifier( - draw_ctx->depsgraph, scene, ob, gpl, cfra_eval, - stl->storage->is_render); - } - - gpf = BKE_gpencil_layer_getframe(gpl, remap_cfra, GP_GETFRAME_USE_PREV); - if (gpf == NULL) { - continue; - } - - /* if solo mode, display only frames with keyframe in the current frame */ - if ((is_solomode) && (gpf->framenum != remap_cfra)) { - continue; - } - - opacity = gpl->opacity; - /* if pose mode, maybe the overlay to fade geometry is enabled */ - if ((draw_ctx->obact) && (draw_ctx->object_mode == OB_MODE_POSE) && - (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT)) - { - opacity = opacity * v3d->overlay.xray_alpha_bone; - } - /* fade no active layers */ - if ((overlay) && (draw_ctx->object_mode == OB_MODE_PAINT_GPENCIL) && - (v3d->gp_flag & V3D_GP_FADE_NOACTIVE_LAYERS) && - (draw_ctx->obact) && (draw_ctx->obact == ob) && - (gpl != gpl_active)) - { - opacity = opacity * v3d->overlay.gpencil_fade_layer; - } - - /* create derived frames array data or expand */ - int derived_idx = BLI_findindex(&gpd->layers, gpl); - derived_gpf = &cache->derived_array[derived_idx]; - - /* if no derived frame or dirty cache, create a new one */ - if ((derived_gpf == NULL) || (cache->is_dirty)) { - if (derived_gpf != NULL) { - /* first clear temp data */ - BKE_gpencil_free_frame_runtime_data(derived_gpf); - } - /* create new data (do not assign new memory)*/ - gpencil_copy_frame(gpf, derived_gpf); - } - - /* draw onion skins */ - if (!ID_IS_LINKED(&gpd->id)) { - if ((do_onion) && (gpl->onion_flag & GP_LAYER_ONIONSKIN) && - ((!playing) || (gpd->onion_flag & GP_ONION_GHOST_ALWAYS)) && - (!cache_ob->is_dup_ob) && (gpd->id.us <= 1)) - { - if (((!stl->storage->is_render) && (overlay)) || - ((stl->storage->is_render) && (gpd->onion_flag & GP_ONION_GHOST_ALWAYS))) - { - gpencil_draw_onionskins(cache, vedata, ob, gpd, gpl, gpf); - } - } - } - /* draw normal strokes */ - gpencil_draw_strokes( - cache, e_data, vedata, ob, gpd, gpl, gpf, derived_gpf, - opacity, gpl->tintcolor, false, cache_ob); - } - - /* clear any lattice data */ - if ((cache->is_dirty) && (ob->greasepencil_modifiers.first)) { - BKE_gpencil_lattice_clear(ob); - } - - /* create batchs and shading groups */ - DRW_gpencil_create_batches(cache); - DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); - - cache->is_dirty = false; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const ViewLayer *view_layer = DEG_get_evaluated_view_layer(draw_ctx->depsgraph); + Scene *scene = draw_ctx->scene; + + bGPdata *gpd = (bGPdata *)ob->data; + + View3D *v3d = draw_ctx->v3d; + int cfra_eval = (int)DEG_get_ctime(draw_ctx->depsgraph); + + bGPDframe *derived_gpf = NULL; + const bool main_onion = v3d != NULL ? (v3d->gp_flag & V3D_GP_SHOW_ONION_SKIN) : true; + const bool do_onion = (bool)((gpd->flag & GP_DATA_STROKE_WEIGHTMODE) == 0) && main_onion && + DRW_gpencil_onion_active(gpd); + const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; + const bool time_remap = BKE_gpencil_has_time_modifiers(ob); + + float opacity; + bGPDframe *gpf = NULL; + bGPDlayer *gpl_active = BKE_gpencil_layer_getactive(gpd); + + /* check if playing animation */ + const bool playing = stl->storage->is_playing; + + GpencilBatchCache *cache = gpencil_batch_cache_get(ob, cfra_eval); + + /* if object is duplicate, only create shading groups */ + if (cache_ob->is_dup_ob) { + DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); + return; + } + + /* calc max size of VBOs */ + gpencil_calc_vertex(stl, cache_ob, cache, gpd, cfra_eval); + + /* init general modifiers data */ + if (!stl->storage->simplify_modif) { + if ((cache->is_dirty) && (ob->greasepencil_modifiers.first)) { + BKE_gpencil_lattice_init(ob); + } + } + /* draw normal strokes */ + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + /* don't draw layer if hidden */ + if (gpl->flag & GP_LAYER_HIDE) { + continue; + } + + const bool is_solomode = GPENCIL_PAINT_MODE(gpd) && (!playing) && (!stl->storage->is_render) && + (gpl->flag & GP_LAYER_SOLO_MODE); + + /* filter view layer to gp layers in the same view layer (for compo) */ + if ((stl->storage->is_render) && (gpl->viewlayername[0] != '\0')) { + if (!STREQ(view_layer->name, gpl->viewlayername)) { + continue; + } + } + + /* remap time */ + int remap_cfra = cfra_eval; + if ((time_remap) && (!stl->storage->simplify_modif)) { + remap_cfra = BKE_gpencil_time_modifier( + draw_ctx->depsgraph, scene, ob, gpl, cfra_eval, stl->storage->is_render); + } + + gpf = BKE_gpencil_layer_getframe(gpl, remap_cfra, GP_GETFRAME_USE_PREV); + if (gpf == NULL) { + continue; + } + + /* if solo mode, display only frames with keyframe in the current frame */ + if ((is_solomode) && (gpf->framenum != remap_cfra)) { + continue; + } + + opacity = gpl->opacity; + /* if pose mode, maybe the overlay to fade geometry is enabled */ + if ((draw_ctx->obact) && (draw_ctx->object_mode == OB_MODE_POSE) && + (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT)) { + opacity = opacity * v3d->overlay.xray_alpha_bone; + } + /* fade no active layers */ + if ((overlay) && (draw_ctx->object_mode == OB_MODE_PAINT_GPENCIL) && + (v3d->gp_flag & V3D_GP_FADE_NOACTIVE_LAYERS) && (draw_ctx->obact) && + (draw_ctx->obact == ob) && (gpl != gpl_active)) { + opacity = opacity * v3d->overlay.gpencil_fade_layer; + } + + /* create derived frames array data or expand */ + int derived_idx = BLI_findindex(&gpd->layers, gpl); + derived_gpf = &cache->derived_array[derived_idx]; + + /* if no derived frame or dirty cache, create a new one */ + if ((derived_gpf == NULL) || (cache->is_dirty)) { + if (derived_gpf != NULL) { + /* first clear temp data */ + BKE_gpencil_free_frame_runtime_data(derived_gpf); + } + /* create new data (do not assign new memory)*/ + gpencil_copy_frame(gpf, derived_gpf); + } + + /* draw onion skins */ + if (!ID_IS_LINKED(&gpd->id)) { + if ((do_onion) && (gpl->onion_flag & GP_LAYER_ONIONSKIN) && + ((!playing) || (gpd->onion_flag & GP_ONION_GHOST_ALWAYS)) && (!cache_ob->is_dup_ob) && + (gpd->id.us <= 1)) { + if (((!stl->storage->is_render) && (overlay)) || + ((stl->storage->is_render) && (gpd->onion_flag & GP_ONION_GHOST_ALWAYS))) { + gpencil_draw_onionskins(cache, vedata, ob, gpd, gpl, gpf); + } + } + } + /* draw normal strokes */ + gpencil_draw_strokes(cache, + e_data, + vedata, + ob, + gpd, + gpl, + gpf, + derived_gpf, + opacity, + gpl->tintcolor, + false, + cache_ob); + } + + /* clear any lattice data */ + if ((cache->is_dirty) && (ob->greasepencil_modifiers.first)) { + BKE_gpencil_lattice_clear(ob); + } + + /* create batchs and shading groups */ + DRW_gpencil_create_batches(cache); + DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); + + cache->is_dirty = false; } void DRW_gpencil_populate_particles(GPENCIL_e_data *e_data, GHash *gh_objects, void *vedata) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - - /* add particles */ - for (int i = 0; i < stl->g_data->gp_cache_used; i++) { - tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; - if (cache_ob->is_dup_ob) { - /* reasign duplicate objects because memory for particles is not available - * and need to use the original datablock and runtime data */ - Object *ob = (Object *)BLI_ghash_lookup(gh_objects, cache_ob->name); - if (ob) { - cache_ob->ob = ob; - cache_ob->gpd = (bGPdata *)ob->data; - GpencilBatchCache *cache = ob->runtime.gpencil_cache; - if (cache != NULL) { - DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); - } - } - } - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + + /* add particles */ + for (int i = 0; i < stl->g_data->gp_cache_used; i++) { + tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; + if (cache_ob->is_dup_ob) { + /* reasign duplicate objects because memory for particles is not available + * and need to use the original datablock and runtime data */ + Object *ob = (Object *)BLI_ghash_lookup(gh_objects, cache_ob->name); + if (ob) { + cache_ob->ob = ob; + cache_ob->gpd = (bGPdata *)ob->data; + GpencilBatchCache *cache = ob->runtime.gpencil_cache; + if (cache != NULL) { + DRW_gpencil_shgroups_create(e_data, vedata, ob, cache, cache_ob); + } + } + } + } } diff --git a/source/blender/draw/engines/gpencil/gpencil_engine.c b/source/blender/draw/engines/gpencil/gpencil_engine.c index d1a8f40a428..6fa07245396 100644 --- a/source/blender/draw/engines/gpencil/gpencil_engine.c +++ b/source/blender/draw/engines/gpencil/gpencil_engine.c @@ -44,7 +44,6 @@ #include "UI_resources.h" - extern char datatoc_gpencil_fill_vert_glsl[]; extern char datatoc_gpencil_fill_frag_glsl[]; extern char datatoc_gpencil_stroke_vert_glsl[]; @@ -70,1054 +69,1023 @@ static GPENCIL_e_data e_data = {NULL}; /* Engine data */ /* create a multisample buffer if not present */ void DRW_gpencil_multisample_ensure(GPENCIL_Data *vedata, int rect_w, int rect_h) { - GPENCIL_FramebufferList *fbl = vedata->fbl; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_TextureList *txl = ((GPENCIL_Data *)vedata)->txl; - - short samples = stl->storage->multisamples; - - if (samples > 0) { - if (!fbl->multisample_fb) { - fbl->multisample_fb = GPU_framebuffer_create(); - if (fbl->multisample_fb) { - if (txl->multisample_color == NULL) { - txl->multisample_color = GPU_texture_create_2d_multisample( - rect_w, rect_h, GPU_RGBA16F, NULL, samples, NULL); - } - if (txl->multisample_depth == NULL) { - txl->multisample_depth = GPU_texture_create_2d_multisample( - rect_w, rect_h, GPU_DEPTH_COMPONENT24, NULL, samples, NULL); - } - GPU_framebuffer_ensure_config( - &fbl->multisample_fb, { - GPU_ATTACHMENT_TEXTURE(txl->multisample_depth), - GPU_ATTACHMENT_TEXTURE(txl->multisample_color) - }); - } - } - } + GPENCIL_FramebufferList *fbl = vedata->fbl; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_TextureList *txl = ((GPENCIL_Data *)vedata)->txl; + + short samples = stl->storage->multisamples; + + if (samples > 0) { + if (!fbl->multisample_fb) { + fbl->multisample_fb = GPU_framebuffer_create(); + if (fbl->multisample_fb) { + if (txl->multisample_color == NULL) { + txl->multisample_color = GPU_texture_create_2d_multisample( + rect_w, rect_h, GPU_RGBA16F, NULL, samples, NULL); + } + if (txl->multisample_depth == NULL) { + txl->multisample_depth = GPU_texture_create_2d_multisample( + rect_w, rect_h, GPU_DEPTH_COMPONENT24, NULL, samples, NULL); + } + GPU_framebuffer_ensure_config(&fbl->multisample_fb, + {GPU_ATTACHMENT_TEXTURE(txl->multisample_depth), + GPU_ATTACHMENT_TEXTURE(txl->multisample_color)}); + } + } + } } static void GPENCIL_create_framebuffers(void *vedata) { - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - - /* Go full 32bits for rendering */ - eGPUTextureFormat fb_format = DRW_state_is_image_render() ? GPU_RGBA32F : GPU_RGBA16F; - - if (DRW_state_is_fbo()) { - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = { (int)viewport_size[0], (int)viewport_size[1] }; - - /* create multiframe framebuffer for AA */ - if ((stl->storage->framebuffer_flag & GP_FRAMEBUFFER_MULTISAMPLE) && - (stl->storage->multisamples > 0)) - { - DRW_gpencil_multisample_ensure(vedata, size[0], size[1]); - } - - /* Framebufers for basic object drawing */ - if (stl->storage->framebuffer_flag & GP_FRAMEBUFFER_BASIC) { - /* temp textures for ping-pong buffers */ - e_data.temp_depth_tx_a = DRW_texture_pool_query_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_gpencil_type); - e_data.temp_color_tx_a = DRW_texture_pool_query_2d( - size[0], size[1], fb_format, - &draw_engine_gpencil_type); - GPU_framebuffer_ensure_config( - &fbl->temp_fb_a, { - GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_a), - GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_a), - }); - - e_data.temp_depth_tx_b = DRW_texture_pool_query_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_gpencil_type); - e_data.temp_color_tx_b = DRW_texture_pool_query_2d( - size[0], size[1], fb_format, - &draw_engine_gpencil_type); - GPU_framebuffer_ensure_config( - &fbl->temp_fb_b, { - GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_b), - GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_b), - }); - - /* used for FX effects and Layer blending */ - e_data.temp_depth_tx_fx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_gpencil_type); - e_data.temp_color_tx_fx = DRW_texture_pool_query_2d( - size[0], size[1], fb_format, - &draw_engine_gpencil_type); - GPU_framebuffer_ensure_config( - &fbl->temp_fb_fx, { - GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_fx), - GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_fx), - }); - } - - /* background framebuffer to speed up drawing process (always 16 bits) */ - if (stl->storage->framebuffer_flag & GP_FRAMEBUFFER_DRAW) { - e_data.background_depth_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_gpencil_type); - e_data.background_color_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_RGBA32F, - &draw_engine_gpencil_type); - GPU_framebuffer_ensure_config( - &fbl->background_fb, { - GPU_ATTACHMENT_TEXTURE(e_data.background_depth_tx), - GPU_ATTACHMENT_TEXTURE(e_data.background_color_tx), - }); - } - } + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + + /* Go full 32bits for rendering */ + eGPUTextureFormat fb_format = DRW_state_is_image_render() ? GPU_RGBA32F : GPU_RGBA16F; + + if (DRW_state_is_fbo()) { + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + /* create multiframe framebuffer for AA */ + if ((stl->storage->framebuffer_flag & GP_FRAMEBUFFER_MULTISAMPLE) && + (stl->storage->multisamples > 0)) { + DRW_gpencil_multisample_ensure(vedata, size[0], size[1]); + } + + /* Framebufers for basic object drawing */ + if (stl->storage->framebuffer_flag & GP_FRAMEBUFFER_BASIC) { + /* temp textures for ping-pong buffers */ + e_data.temp_depth_tx_a = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_gpencil_type); + e_data.temp_color_tx_a = DRW_texture_pool_query_2d( + size[0], size[1], fb_format, &draw_engine_gpencil_type); + GPU_framebuffer_ensure_config(&fbl->temp_fb_a, + { + GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_a), + GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_a), + }); + + e_data.temp_depth_tx_b = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_gpencil_type); + e_data.temp_color_tx_b = DRW_texture_pool_query_2d( + size[0], size[1], fb_format, &draw_engine_gpencil_type); + GPU_framebuffer_ensure_config(&fbl->temp_fb_b, + { + GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_b), + GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_b), + }); + + /* used for FX effects and Layer blending */ + e_data.temp_depth_tx_fx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_gpencil_type); + e_data.temp_color_tx_fx = DRW_texture_pool_query_2d( + size[0], size[1], fb_format, &draw_engine_gpencil_type); + GPU_framebuffer_ensure_config(&fbl->temp_fb_fx, + { + GPU_ATTACHMENT_TEXTURE(e_data.temp_depth_tx_fx), + GPU_ATTACHMENT_TEXTURE(e_data.temp_color_tx_fx), + }); + } + + /* background framebuffer to speed up drawing process (always 16 bits) */ + if (stl->storage->framebuffer_flag & GP_FRAMEBUFFER_DRAW) { + e_data.background_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_gpencil_type); + e_data.background_color_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA32F, &draw_engine_gpencil_type); + GPU_framebuffer_ensure_config(&fbl->background_fb, + { + GPU_ATTACHMENT_TEXTURE(e_data.background_depth_tx), + GPU_ATTACHMENT_TEXTURE(e_data.background_color_tx), + }); + } + } } static void GPENCIL_create_shaders(void) { - /* normal fill shader */ - if (!e_data.gpencil_fill_sh) { - e_data.gpencil_fill_sh = DRW_shader_create( - datatoc_gpencil_fill_vert_glsl, NULL, - datatoc_gpencil_fill_frag_glsl, NULL); - } - - /* normal stroke shader using geometry to display lines (line mode) */ - if (!e_data.gpencil_stroke_sh) { - e_data.gpencil_stroke_sh = DRW_shader_create( - datatoc_gpencil_stroke_vert_glsl, - datatoc_gpencil_stroke_geom_glsl, - datatoc_gpencil_stroke_frag_glsl, - NULL); - } - - /* dot/rectangle mode for normal strokes using geometry */ - if (!e_data.gpencil_point_sh) { - e_data.gpencil_point_sh = DRW_shader_create( - datatoc_gpencil_point_vert_glsl, - datatoc_gpencil_point_geom_glsl, - datatoc_gpencil_point_frag_glsl, - NULL); - } - /* used for edit points or strokes with one point only */ - if (!e_data.gpencil_edit_point_sh) { - e_data.gpencil_edit_point_sh = DRW_shader_create( - datatoc_gpencil_edit_point_vert_glsl, - datatoc_gpencil_edit_point_geom_glsl, - datatoc_gpencil_edit_point_frag_glsl, NULL); - } - - /* used for edit lines for edit modes */ - if (!e_data.gpencil_line_sh) { - e_data.gpencil_line_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_FLAT_COLOR); - } - - /* used to filling during drawing */ - if (!e_data.gpencil_drawing_fill_sh) { - e_data.gpencil_drawing_fill_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_SMOOTH_COLOR); - } - - /* full screen for mix zdepth*/ - if (!e_data.gpencil_fullscreen_sh) { - e_data.gpencil_fullscreen_sh = DRW_shader_create_fullscreen(datatoc_gpencil_zdepth_mix_frag_glsl, NULL); - } - if (!e_data.gpencil_simple_fullscreen_sh) { - e_data.gpencil_simple_fullscreen_sh = DRW_shader_create_fullscreen(datatoc_gpencil_simple_mix_frag_glsl, NULL); - } - - /* blend */ - if (!e_data.gpencil_blend_fullscreen_sh) { - e_data.gpencil_blend_fullscreen_sh = DRW_shader_create_fullscreen(datatoc_gpencil_blend_frag_glsl, NULL); - } - - /* shaders for use when drawing */ - if (!e_data.gpencil_background_sh) { - e_data.gpencil_background_sh = DRW_shader_create_fullscreen(datatoc_gpencil_background_frag_glsl, NULL); - } - if (!e_data.gpencil_paper_sh) { - e_data.gpencil_paper_sh = DRW_shader_create_fullscreen(datatoc_gpencil_paper_frag_glsl, NULL); - } + /* normal fill shader */ + if (!e_data.gpencil_fill_sh) { + e_data.gpencil_fill_sh = DRW_shader_create( + datatoc_gpencil_fill_vert_glsl, NULL, datatoc_gpencil_fill_frag_glsl, NULL); + } + + /* normal stroke shader using geometry to display lines (line mode) */ + if (!e_data.gpencil_stroke_sh) { + e_data.gpencil_stroke_sh = DRW_shader_create(datatoc_gpencil_stroke_vert_glsl, + datatoc_gpencil_stroke_geom_glsl, + datatoc_gpencil_stroke_frag_glsl, + NULL); + } + + /* dot/rectangle mode for normal strokes using geometry */ + if (!e_data.gpencil_point_sh) { + e_data.gpencil_point_sh = DRW_shader_create(datatoc_gpencil_point_vert_glsl, + datatoc_gpencil_point_geom_glsl, + datatoc_gpencil_point_frag_glsl, + NULL); + } + /* used for edit points or strokes with one point only */ + if (!e_data.gpencil_edit_point_sh) { + e_data.gpencil_edit_point_sh = DRW_shader_create(datatoc_gpencil_edit_point_vert_glsl, + datatoc_gpencil_edit_point_geom_glsl, + datatoc_gpencil_edit_point_frag_glsl, + NULL); + } + + /* used for edit lines for edit modes */ + if (!e_data.gpencil_line_sh) { + e_data.gpencil_line_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_FLAT_COLOR); + } + + /* used to filling during drawing */ + if (!e_data.gpencil_drawing_fill_sh) { + e_data.gpencil_drawing_fill_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_SMOOTH_COLOR); + } + + /* full screen for mix zdepth*/ + if (!e_data.gpencil_fullscreen_sh) { + e_data.gpencil_fullscreen_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_zdepth_mix_frag_glsl, NULL); + } + if (!e_data.gpencil_simple_fullscreen_sh) { + e_data.gpencil_simple_fullscreen_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_simple_mix_frag_glsl, NULL); + } + + /* blend */ + if (!e_data.gpencil_blend_fullscreen_sh) { + e_data.gpencil_blend_fullscreen_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_blend_frag_glsl, NULL); + } + + /* shaders for use when drawing */ + if (!e_data.gpencil_background_sh) { + e_data.gpencil_background_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_background_frag_glsl, NULL); + } + if (!e_data.gpencil_paper_sh) { + e_data.gpencil_paper_sh = DRW_shader_create_fullscreen(datatoc_gpencil_paper_frag_glsl, NULL); + } } void GPENCIL_engine_init(void *vedata) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - /* init storage */ - if (!stl->storage) { - stl->storage = MEM_callocN(sizeof(GPENCIL_Storage), "GPENCIL_Storage"); - - /* unit matrix */ - unit_m4(stl->storage->unit_matrix); - stl->storage->shade_render[0] = OB_RENDER; - stl->storage->shade_render[1] = 0; - } - - stl->storage->multisamples = U.gpencil_multisamples; - - /* create shaders */ - GPENCIL_create_shaders(); - GPENCIL_create_fx_shaders(&e_data); - - /* blank texture used if no texture defined for fill shader */ - if (!e_data.gpencil_blank_texture) { - float rect[16][16][4] = {{{0.0f}}}; - e_data.gpencil_blank_texture = DRW_texture_create_2d(16, 16, GPU_RGBA8, DRW_TEX_FILTER, (float *)rect); - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + /* init storage */ + if (!stl->storage) { + stl->storage = MEM_callocN(sizeof(GPENCIL_Storage), "GPENCIL_Storage"); + + /* unit matrix */ + unit_m4(stl->storage->unit_matrix); + stl->storage->shade_render[0] = OB_RENDER; + stl->storage->shade_render[1] = 0; + } + + stl->storage->multisamples = U.gpencil_multisamples; + + /* create shaders */ + GPENCIL_create_shaders(); + GPENCIL_create_fx_shaders(&e_data); + + /* blank texture used if no texture defined for fill shader */ + if (!e_data.gpencil_blank_texture) { + float rect[16][16][4] = {{{0.0f}}}; + e_data.gpencil_blank_texture = DRW_texture_create_2d( + 16, 16, GPU_RGBA8, DRW_TEX_FILTER, (float *)rect); + } } static void GPENCIL_engine_free(void) { - /* only free custom shaders, builtin shaders are freed in blender close */ - DRW_SHADER_FREE_SAFE(e_data.gpencil_fill_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_stroke_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_point_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_edit_point_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_fullscreen_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_simple_fullscreen_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_blend_fullscreen_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_background_sh); - DRW_SHADER_FREE_SAFE(e_data.gpencil_paper_sh); + /* only free custom shaders, builtin shaders are freed in blender close */ + DRW_SHADER_FREE_SAFE(e_data.gpencil_fill_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_stroke_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_point_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_edit_point_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_fullscreen_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_simple_fullscreen_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_blend_fullscreen_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_background_sh); + DRW_SHADER_FREE_SAFE(e_data.gpencil_paper_sh); - DRW_TEXTURE_FREE_SAFE(e_data.gpencil_blank_texture); + DRW_TEXTURE_FREE_SAFE(e_data.gpencil_blank_texture); - GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_stroke); - MEM_SAFE_FREE(e_data.batch_buffer_stroke); + GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_stroke); + MEM_SAFE_FREE(e_data.batch_buffer_stroke); - GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_fill); - MEM_SAFE_FREE(e_data.batch_buffer_fill); + GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_fill); + MEM_SAFE_FREE(e_data.batch_buffer_fill); - GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_ctrlpoint); - MEM_SAFE_FREE(e_data.batch_buffer_ctrlpoint); + GPU_BATCH_DISCARD_SAFE(e_data.batch_buffer_ctrlpoint); + MEM_SAFE_FREE(e_data.batch_buffer_ctrlpoint); - GPU_BATCH_DISCARD_SAFE(e_data.batch_grid); - MEM_SAFE_FREE(e_data.batch_grid); + GPU_BATCH_DISCARD_SAFE(e_data.batch_grid); + MEM_SAFE_FREE(e_data.batch_grid); - /* effects */ - GPENCIL_delete_fx_shaders(&e_data); + /* effects */ + GPENCIL_delete_fx_shaders(&e_data); } void GPENCIL_cache_init(void *vedata) { - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ToolSettings *ts = scene->toolsettings; - View3D *v3d = draw_ctx->v3d; - Brush *brush = BKE_paint_brush(&ts->gp_paint->paint); - - /* Special handling for when active object is GP object (e.g. for draw mode) */ - Object *obact = draw_ctx->obact; - bGPdata *obact_gpd = NULL; - MaterialGPencilStyle *gp_style = NULL; - - if (obact && (obact->type == OB_GPENCIL) && (obact->data)) { - obact_gpd = (bGPdata *)obact->data; - /* use the brush material */ - Material *ma = BKE_gpencil_object_material_get_from_brush(obact, brush); - if (ma != NULL) { - gp_style = ma->gp_style; - } - /* this is not common, but avoid any special situations when brush could be without material */ - if (gp_style == NULL) { - gp_style = BKE_material_gpencil_settings_get(obact, obact->actcol); - } - } - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(g_data), "g_data"); - stl->storage->xray = GP_XRAY_FRONT; /* used for drawing */ - stl->storage->stroke_style = GP_STYLE_STROKE_STYLE_SOLID; /* used for drawing */ - } - stl->storage->tonemapping = 0; - - stl->g_data->shgrps_edit_line = NULL; - stl->g_data->shgrps_edit_point = NULL; - - if (!stl->shgroups) { - /* Alloc maximum size because count strokes is very slow and can be very complex due onion skinning. - */ - stl->shgroups = MEM_mallocN(sizeof(GPENCIL_shgroup) * GPENCIL_MAX_SHGROUPS, "GPENCIL_shgroup"); - } - - /* init gp objects cache */ - stl->g_data->gp_cache_used = 0; - stl->g_data->gp_cache_size = 0; - stl->g_data->gp_object_cache = NULL; - stl->g_data->do_instances = false; - - { - /* Stroke pass 2D */ - psl->stroke_pass_2d = DRW_pass_create( - "GPencil Stroke Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS | DRW_STATE_BLEND); - stl->storage->shgroup_id = 0; - /* Stroke pass 3D */ - psl->stroke_pass_3d = DRW_pass_create( - "GPencil Stroke Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); - stl->storage->shgroup_id = 0; - - /* edit pass */ - psl->edit_pass = DRW_pass_create( - "GPencil Edit Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); - - /* detect if playing animation */ - if (draw_ctx->evil_C) { - - bool playing = ED_screen_animation_playing(CTX_wm_manager(draw_ctx->evil_C)) != NULL; - if (playing != stl->storage->is_playing) { - stl->storage->reset_cache = true; - } - stl->storage->is_playing = playing; - } - else { - stl->storage->is_playing = false; - stl->storage->reset_cache = false; - } - /* save render state */ - stl->storage->is_render = DRW_state_is_image_render(); - stl->storage->is_mat_preview = (bool)stl->storage->is_render && STREQ(scene->id.name + 2, "preview"); - - if (obact_gpd) { - /* for some reason, when press play there is a delay in the animation flag check - * and this produces errors. To be sure, we set cache as dirty because the frame - * is changing. - */ - if (stl->storage->is_playing == true) { - obact_gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - } - /* if render, set as dirty to update all data */ - else if (stl->storage->is_render == true) { - obact_gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - } - } - - /* save simplify flags (can change while drawing, so it's better to save) */ - stl->storage->simplify_fill = GP_SIMPLIFY_FILL(scene, stl->storage->is_playing); - stl->storage->simplify_modif = GP_SIMPLIFY_MODIF(scene, stl->storage->is_playing); - stl->storage->simplify_fx = GP_SIMPLIFY_FX(scene, stl->storage->is_playing); - stl->storage->simplify_blend = GP_SIMPLIFY_BLEND(scene, stl->storage->is_playing); - - /* xray mode */ - if (v3d) { - stl->storage->is_xray = XRAY_ACTIVE(v3d); - } - else { - stl->storage->is_xray = 0; - } - - /* save pixsize */ - stl->storage->pixsize = DRW_viewport_pixelsize_get(); - if ((!DRW_state_is_opengl_render()) && (stl->storage->is_render)) { - stl->storage->pixsize = &stl->storage->render_pixsize; - } - - /* detect if painting session */ - if ((obact_gpd) && - (obact_gpd->flag & GP_DATA_STROKE_PAINTMODE) && - (stl->storage->is_playing == false)) - { - /* need the original to avoid cow overhead while drawing */ - bGPdata *gpd_orig = (bGPdata *)DEG_get_original_id(&obact_gpd->id); - if (((gpd_orig->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0) && - (gpd_orig->runtime.sbuffer_size > 0) && - ((gpd_orig->flag & GP_DATA_STROKE_POLYGON) == 0) && - !DRW_state_is_depth()) - { - stl->g_data->session_flag |= GP_DRW_PAINT_PAINTING; - } - else { - stl->g_data->session_flag = GP_DRW_PAINT_IDLE; - } - } - else { - /* if not drawing mode */ - stl->g_data->session_flag = GP_DRW_PAINT_HOLD; - } - - if (gp_style) { - stl->storage->stroke_style = gp_style->stroke_style; - stl->storage->color_type = GPENCIL_COLOR_SOLID; - if (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) { - stl->storage->color_type = GPENCIL_COLOR_TEXTURE; - if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { - stl->storage->color_type = GPENCIL_COLOR_PATTERN; - } - } - } - else { - stl->storage->stroke_style = GP_STYLE_STROKE_STYLE_SOLID; - stl->storage->color_type = GPENCIL_COLOR_SOLID; - } - - /* drawing buffer pass for drawing the stroke that is being drawing by the user. The data - * is stored in sbuffer - */ - psl->drawing_pass = DRW_pass_create( - "GPencil Drawing Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); - - /* full screen pass to combine the result with default framebuffer */ - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - psl->mix_pass = DRW_pass_create( - "GPencil Mix Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); - DRWShadingGroup *mix_shgrp = DRW_shgroup_create(e_data.gpencil_fullscreen_sh, psl->mix_pass); - DRW_shgroup_call_add(mix_shgrp, quad, NULL); - DRW_shgroup_uniform_texture_ref(mix_shgrp, "strokeColor", &e_data.input_color_tx); - DRW_shgroup_uniform_texture_ref(mix_shgrp, "strokeDepth", &e_data.input_depth_tx); - DRW_shgroup_uniform_int(mix_shgrp, "tonemapping", &stl->storage->tonemapping, 1); - DRW_shgroup_uniform_int(mix_shgrp, "do_select", &stl->storage->do_select_outline, 1); - DRW_shgroup_uniform_vec4(mix_shgrp, "select_color", stl->storage->select_color, 1); - - /* mix pass no blend used to copy between passes. A separated pass is required - * because if mix_pass is used, the acumulation of blend degrade the colors. - * - * This pass is used too to take the snapshot used for background_pass. This image - * will be used as the background while the user is drawing. - */ - psl->mix_pass_noblend = DRW_pass_create( - "GPencil Mix Pass no blend", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); - DRWShadingGroup *mix_shgrp_noblend = DRW_shgroup_create(e_data.gpencil_fullscreen_sh, psl->mix_pass_noblend); - DRW_shgroup_call_add(mix_shgrp_noblend, quad, NULL); - DRW_shgroup_uniform_texture_ref(mix_shgrp_noblend, "strokeColor", &e_data.input_color_tx); - DRW_shgroup_uniform_texture_ref(mix_shgrp_noblend, "strokeDepth", &e_data.input_depth_tx); - DRW_shgroup_uniform_int(mix_shgrp_noblend, "tonemapping", &stl->storage->tonemapping, 1); - DRW_shgroup_uniform_int(mix_shgrp_noblend, "do_select", &stl->storage->do_select_outline, 1); - DRW_shgroup_uniform_vec4(mix_shgrp_noblend, "select_color", stl->storage->select_color, 1); - - /* Painting session pass (used only to speedup while the user is drawing ) - * This pass is used to show the snapshot of the current grease pencil strokes captured - * when the user starts to draw (see comments above). - * In this way, the previous strokes don't need to be redraw and the drawing process - * is far to agile. - */ - psl->background_pass = DRW_pass_create( - "GPencil Background Painting Session Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); - DRWShadingGroup *background_shgrp = DRW_shgroup_create(e_data.gpencil_background_sh, psl->background_pass); - DRW_shgroup_call_add(background_shgrp, quad, NULL); - DRW_shgroup_uniform_texture_ref(background_shgrp, "strokeColor", &e_data.background_color_tx); - DRW_shgroup_uniform_texture_ref(background_shgrp, "strokeDepth", &e_data.background_depth_tx); - - /* pass for drawing paper (only if viewport) - * In render, the v3d is null so the paper is disabled - * The paper is way to isolate the drawing in complex scene and to have a cleaner - * drawing area. - */ - if (v3d) { - psl->paper_pass = DRW_pass_create( - "GPencil Paper Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); - DRWShadingGroup *paper_shgrp = DRW_shgroup_create(e_data.gpencil_paper_sh, psl->paper_pass); - DRW_shgroup_call_add(paper_shgrp, quad, NULL); - DRW_shgroup_uniform_vec3(paper_shgrp, "color", v3d->shading.background_color, 1); - DRW_shgroup_uniform_float(paper_shgrp, "opacity", &v3d->overlay.gpencil_paper_opacity, 1); - } - - /* grid pass */ - if (v3d) { - psl->grid_pass = DRW_pass_create( - "GPencil Grid Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); - stl->g_data->shgrps_grid = DRW_shgroup_create(e_data.gpencil_line_sh, psl->grid_pass); - } - - /* blend layers pass */ - psl->blend_pass = DRW_pass_create( - "GPencil Blend Layers Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); - DRWShadingGroup *blend_shgrp = DRW_shgroup_create(e_data.gpencil_blend_fullscreen_sh, psl->blend_pass); - DRW_shgroup_call_add(blend_shgrp, quad, NULL); - DRW_shgroup_uniform_texture_ref(blend_shgrp, "strokeColor", &e_data.temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(blend_shgrp, "strokeDepth", &e_data.temp_depth_tx_a); - DRW_shgroup_uniform_texture_ref(blend_shgrp, "blendColor", &e_data.temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(blend_shgrp, "blendDepth", &e_data.temp_depth_tx_fx); - DRW_shgroup_uniform_int(blend_shgrp, "mode", &stl->storage->blend_mode, 1); - DRW_shgroup_uniform_int(blend_shgrp, "clamp_layer", &stl->storage->clamp_layer, 1); - DRW_shgroup_uniform_float(blend_shgrp, "blend_opacity", &stl->storage->blend_opacity, 1); - DRW_shgroup_uniform_int(mix_shgrp, "tonemapping", &stl->storage->tonemapping, 1); - - /* create effects passes */ - if (!stl->storage->simplify_fx) { - GPENCIL_create_fx_passes(psl); - } - } + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ToolSettings *ts = scene->toolsettings; + View3D *v3d = draw_ctx->v3d; + Brush *brush = BKE_paint_brush(&ts->gp_paint->paint); + + /* Special handling for when active object is GP object (e.g. for draw mode) */ + Object *obact = draw_ctx->obact; + bGPdata *obact_gpd = NULL; + MaterialGPencilStyle *gp_style = NULL; + + if (obact && (obact->type == OB_GPENCIL) && (obact->data)) { + obact_gpd = (bGPdata *)obact->data; + /* use the brush material */ + Material *ma = BKE_gpencil_object_material_get_from_brush(obact, brush); + if (ma != NULL) { + gp_style = ma->gp_style; + } + /* this is not common, but avoid any special situations when brush could be without material */ + if (gp_style == NULL) { + gp_style = BKE_material_gpencil_settings_get(obact, obact->actcol); + } + } + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(g_data), "g_data"); + stl->storage->xray = GP_XRAY_FRONT; /* used for drawing */ + stl->storage->stroke_style = GP_STYLE_STROKE_STYLE_SOLID; /* used for drawing */ + } + stl->storage->tonemapping = 0; + + stl->g_data->shgrps_edit_line = NULL; + stl->g_data->shgrps_edit_point = NULL; + + if (!stl->shgroups) { + /* Alloc maximum size because count strokes is very slow and can be very complex due onion skinning. + */ + stl->shgroups = MEM_mallocN(sizeof(GPENCIL_shgroup) * GPENCIL_MAX_SHGROUPS, "GPENCIL_shgroup"); + } + + /* init gp objects cache */ + stl->g_data->gp_cache_used = 0; + stl->g_data->gp_cache_size = 0; + stl->g_data->gp_object_cache = NULL; + stl->g_data->do_instances = false; + + { + /* Stroke pass 2D */ + psl->stroke_pass_2d = DRW_pass_create("GPencil Stroke Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_ALWAYS | DRW_STATE_BLEND); + stl->storage->shgroup_id = 0; + /* Stroke pass 3D */ + psl->stroke_pass_3d = DRW_pass_create("GPencil Stroke Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); + stl->storage->shgroup_id = 0; + + /* edit pass */ + psl->edit_pass = DRW_pass_create("GPencil Edit Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); + + /* detect if playing animation */ + if (draw_ctx->evil_C) { + + bool playing = ED_screen_animation_playing(CTX_wm_manager(draw_ctx->evil_C)) != NULL; + if (playing != stl->storage->is_playing) { + stl->storage->reset_cache = true; + } + stl->storage->is_playing = playing; + } + else { + stl->storage->is_playing = false; + stl->storage->reset_cache = false; + } + /* save render state */ + stl->storage->is_render = DRW_state_is_image_render(); + stl->storage->is_mat_preview = (bool)stl->storage->is_render && + STREQ(scene->id.name + 2, "preview"); + + if (obact_gpd) { + /* for some reason, when press play there is a delay in the animation flag check + * and this produces errors. To be sure, we set cache as dirty because the frame + * is changing. + */ + if (stl->storage->is_playing == true) { + obact_gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + } + /* if render, set as dirty to update all data */ + else if (stl->storage->is_render == true) { + obact_gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + } + } + + /* save simplify flags (can change while drawing, so it's better to save) */ + stl->storage->simplify_fill = GP_SIMPLIFY_FILL(scene, stl->storage->is_playing); + stl->storage->simplify_modif = GP_SIMPLIFY_MODIF(scene, stl->storage->is_playing); + stl->storage->simplify_fx = GP_SIMPLIFY_FX(scene, stl->storage->is_playing); + stl->storage->simplify_blend = GP_SIMPLIFY_BLEND(scene, stl->storage->is_playing); + + /* xray mode */ + if (v3d) { + stl->storage->is_xray = XRAY_ACTIVE(v3d); + } + else { + stl->storage->is_xray = 0; + } + + /* save pixsize */ + stl->storage->pixsize = DRW_viewport_pixelsize_get(); + if ((!DRW_state_is_opengl_render()) && (stl->storage->is_render)) { + stl->storage->pixsize = &stl->storage->render_pixsize; + } + + /* detect if painting session */ + if ((obact_gpd) && (obact_gpd->flag & GP_DATA_STROKE_PAINTMODE) && + (stl->storage->is_playing == false)) { + /* need the original to avoid cow overhead while drawing */ + bGPdata *gpd_orig = (bGPdata *)DEG_get_original_id(&obact_gpd->id); + if (((gpd_orig->runtime.sbuffer_sflag & GP_STROKE_ERASER) == 0) && + (gpd_orig->runtime.sbuffer_size > 0) && + ((gpd_orig->flag & GP_DATA_STROKE_POLYGON) == 0) && !DRW_state_is_depth()) { + stl->g_data->session_flag |= GP_DRW_PAINT_PAINTING; + } + else { + stl->g_data->session_flag = GP_DRW_PAINT_IDLE; + } + } + else { + /* if not drawing mode */ + stl->g_data->session_flag = GP_DRW_PAINT_HOLD; + } + + if (gp_style) { + stl->storage->stroke_style = gp_style->stroke_style; + stl->storage->color_type = GPENCIL_COLOR_SOLID; + if (gp_style->stroke_style == GP_STYLE_STROKE_STYLE_TEXTURE) { + stl->storage->color_type = GPENCIL_COLOR_TEXTURE; + if (gp_style->flag & GP_STYLE_STROKE_PATTERN) { + stl->storage->color_type = GPENCIL_COLOR_PATTERN; + } + } + } + else { + stl->storage->stroke_style = GP_STYLE_STROKE_STYLE_SOLID; + stl->storage->color_type = GPENCIL_COLOR_SOLID; + } + + /* drawing buffer pass for drawing the stroke that is being drawing by the user. The data + * is stored in sbuffer + */ + psl->drawing_pass = DRW_pass_create("GPencil Drawing Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); + + /* full screen pass to combine the result with default framebuffer */ + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + psl->mix_pass = DRW_pass_create("GPencil Mix Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); + DRWShadingGroup *mix_shgrp = DRW_shgroup_create(e_data.gpencil_fullscreen_sh, psl->mix_pass); + DRW_shgroup_call_add(mix_shgrp, quad, NULL); + DRW_shgroup_uniform_texture_ref(mix_shgrp, "strokeColor", &e_data.input_color_tx); + DRW_shgroup_uniform_texture_ref(mix_shgrp, "strokeDepth", &e_data.input_depth_tx); + DRW_shgroup_uniform_int(mix_shgrp, "tonemapping", &stl->storage->tonemapping, 1); + DRW_shgroup_uniform_int(mix_shgrp, "do_select", &stl->storage->do_select_outline, 1); + DRW_shgroup_uniform_vec4(mix_shgrp, "select_color", stl->storage->select_color, 1); + + /* mix pass no blend used to copy between passes. A separated pass is required + * because if mix_pass is used, the acumulation of blend degrade the colors. + * + * This pass is used too to take the snapshot used for background_pass. This image + * will be used as the background while the user is drawing. + */ + psl->mix_pass_noblend = DRW_pass_create("GPencil Mix Pass no blend", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS); + DRWShadingGroup *mix_shgrp_noblend = DRW_shgroup_create(e_data.gpencil_fullscreen_sh, + psl->mix_pass_noblend); + DRW_shgroup_call_add(mix_shgrp_noblend, quad, NULL); + DRW_shgroup_uniform_texture_ref(mix_shgrp_noblend, "strokeColor", &e_data.input_color_tx); + DRW_shgroup_uniform_texture_ref(mix_shgrp_noblend, "strokeDepth", &e_data.input_depth_tx); + DRW_shgroup_uniform_int(mix_shgrp_noblend, "tonemapping", &stl->storage->tonemapping, 1); + DRW_shgroup_uniform_int(mix_shgrp_noblend, "do_select", &stl->storage->do_select_outline, 1); + DRW_shgroup_uniform_vec4(mix_shgrp_noblend, "select_color", stl->storage->select_color, 1); + + /* Painting session pass (used only to speedup while the user is drawing ) + * This pass is used to show the snapshot of the current grease pencil strokes captured + * when the user starts to draw (see comments above). + * In this way, the previous strokes don't need to be redraw and the drawing process + * is far to agile. + */ + psl->background_pass = DRW_pass_create("GPencil Background Painting Session Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); + DRWShadingGroup *background_shgrp = DRW_shgroup_create(e_data.gpencil_background_sh, + psl->background_pass); + DRW_shgroup_call_add(background_shgrp, quad, NULL); + DRW_shgroup_uniform_texture_ref(background_shgrp, "strokeColor", &e_data.background_color_tx); + DRW_shgroup_uniform_texture_ref(background_shgrp, "strokeDepth", &e_data.background_depth_tx); + + /* pass for drawing paper (only if viewport) + * In render, the v3d is null so the paper is disabled + * The paper is way to isolate the drawing in complex scene and to have a cleaner + * drawing area. + */ + if (v3d) { + psl->paper_pass = DRW_pass_create("GPencil Paper Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); + DRWShadingGroup *paper_shgrp = DRW_shgroup_create(e_data.gpencil_paper_sh, psl->paper_pass); + DRW_shgroup_call_add(paper_shgrp, quad, NULL); + DRW_shgroup_uniform_vec3(paper_shgrp, "color", v3d->shading.background_color, 1); + DRW_shgroup_uniform_float(paper_shgrp, "opacity", &v3d->overlay.gpencil_paper_opacity, 1); + } + + /* grid pass */ + if (v3d) { + psl->grid_pass = DRW_pass_create("GPencil Grid Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); + stl->g_data->shgrps_grid = DRW_shgroup_create(e_data.gpencil_line_sh, psl->grid_pass); + } + + /* blend layers pass */ + psl->blend_pass = DRW_pass_create("GPencil Blend Layers Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); + DRWShadingGroup *blend_shgrp = DRW_shgroup_create(e_data.gpencil_blend_fullscreen_sh, + psl->blend_pass); + DRW_shgroup_call_add(blend_shgrp, quad, NULL); + DRW_shgroup_uniform_texture_ref(blend_shgrp, "strokeColor", &e_data.temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(blend_shgrp, "strokeDepth", &e_data.temp_depth_tx_a); + DRW_shgroup_uniform_texture_ref(blend_shgrp, "blendColor", &e_data.temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(blend_shgrp, "blendDepth", &e_data.temp_depth_tx_fx); + DRW_shgroup_uniform_int(blend_shgrp, "mode", &stl->storage->blend_mode, 1); + DRW_shgroup_uniform_int(blend_shgrp, "clamp_layer", &stl->storage->clamp_layer, 1); + DRW_shgroup_uniform_float(blend_shgrp, "blend_opacity", &stl->storage->blend_opacity, 1); + DRW_shgroup_uniform_int(mix_shgrp, "tonemapping", &stl->storage->tonemapping, 1); + + /* create effects passes */ + if (!stl->storage->simplify_fx) { + GPENCIL_create_fx_passes(psl); + } + } } static void gpencil_add_draw_data(void *vedata, Object *ob) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - bGPdata *gpd = (bGPdata *)ob->data; - const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); - - int i = stl->g_data->gp_cache_used - 1; - tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; - - if (!cache_ob->is_dup_ob) { - /* fill shading groups */ - if ((!is_multiedit) || (stl->storage->is_render)) { - DRW_gpencil_populate_datablock(&e_data, vedata, ob, cache_ob); - } - else { - DRW_gpencil_populate_multiedit(&e_data, vedata, ob, cache_ob); - } - } - - /* FX passses */ - cache_ob->has_fx = false; - if ((!stl->storage->simplify_fx) && - (!ELEM(cache_ob->shading_type[0], OB_WIRE, OB_SOLID)) && - (BKE_shaderfx_has_gpencil(ob))) - { - cache_ob->has_fx = true; - if ((!stl->storage->simplify_fx) && (!is_multiedit)) { - DRW_gpencil_fx_prepare(&e_data, vedata, cache_ob); - } - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + bGPdata *gpd = (bGPdata *)ob->data; + const bool is_multiedit = (bool)GPENCIL_MULTIEDIT_SESSIONS_ON(gpd); + + int i = stl->g_data->gp_cache_used - 1; + tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; + + if (!cache_ob->is_dup_ob) { + /* fill shading groups */ + if ((!is_multiedit) || (stl->storage->is_render)) { + DRW_gpencil_populate_datablock(&e_data, vedata, ob, cache_ob); + } + else { + DRW_gpencil_populate_multiedit(&e_data, vedata, ob, cache_ob); + } + } + + /* FX passses */ + cache_ob->has_fx = false; + if ((!stl->storage->simplify_fx) && (!ELEM(cache_ob->shading_type[0], OB_WIRE, OB_SOLID)) && + (BKE_shaderfx_has_gpencil(ob))) { + cache_ob->has_fx = true; + if ((!stl->storage->simplify_fx) && (!is_multiedit)) { + DRW_gpencil_fx_prepare(&e_data, vedata, cache_ob); + } + } } void GPENCIL_cache_populate(void *vedata, Object *ob) { - /* object must be visible */ - if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { - return; - } - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - ToolSettings *ts = scene->toolsettings; - View3D *v3d = draw_ctx->v3d; - const View3DCursor *cursor = &scene->cursor; - - if (ob->type == OB_GPENCIL && ob->data) { - bGPdata *gpd = (bGPdata *)ob->data; - - /* enable multisample and basic framebuffer creation */ - stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_MULTISAMPLE; - stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_BASIC; - - /* when start/stop animation the cache must be set as dirty to reset all data */ - if (stl->storage->reset_cache) { - gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - stl->storage->reset_cache = false; - } - - if ((stl->g_data->session_flag & GP_DRW_PAINT_READY) == 0) { - /* bound box object are not visible, only external box*/ - if (ob->dt != OB_BOUNDBOX) { - /* save gp objects for drawing later */ - stl->g_data->gp_object_cache = gpencil_object_cache_add( - stl->g_data->gp_object_cache, ob, - &stl->g_data->gp_cache_size, &stl->g_data->gp_cache_used); - - /* enable instance loop */ - if (!stl->g_data->do_instances) { - tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[stl->g_data->gp_cache_used - 1]; - stl->g_data->do_instances = cache_ob->is_dup_ob; - } - - /* load drawing data */ - gpencil_add_draw_data(vedata, ob); - } - } - - /* draw current painting strokes - * (only if region is equal to originated paint region) - * - * Need to use original data because to use the copy of data, the paint - * operator must update depsgraph and this makes that first events of the - * mouse are missed if the datablock is very big due the time required to - * copy the datablock. The search of the original data is faster than a - * full datablock copy. - * Using the original data doesn't require a copy and the feel when drawing - * is far better. - */ - - bGPdata *gpd_orig = (bGPdata *)DEG_get_original_id(&gpd->id); - if ((draw_ctx->obact == ob) && - ((gpd_orig->runtime.ar == NULL) || (gpd_orig->runtime.ar == draw_ctx->ar))) - { - DRW_gpencil_populate_buffer_strokes(&e_data, vedata, ts, ob); - } - - /* grid */ - if ((v3d) && - ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (v3d->gp_flag & V3D_GP_SHOW_GRID) && - (ob->type == OB_GPENCIL) && (ob == draw_ctx->obact) && - ((ts->gpencil_v3d_align & GP_PROJECT_DEPTH_VIEW) == 0) && - ((ts->gpencil_v3d_align & GP_PROJECT_DEPTH_STROKE) == 0)) - { - GPU_BATCH_DISCARD_SAFE(e_data.batch_grid); - MEM_SAFE_FREE(e_data.batch_grid); - - e_data.batch_grid = DRW_gpencil_get_grid(ob); - - /* define grid orientation */ - switch (ts->gp_sculpt.lock_axis) { - case GP_LOCKAXIS_VIEW: - { - /* align always to view */ - invert_m4_m4(stl->storage->grid_matrix, draw_ctx->rv3d->viewmat); - /* copy ob location */ - copy_v3_v3(stl->storage->grid_matrix[3], ob->obmat[3]); - break; - } - case GP_LOCKAXIS_CURSOR: - { - float scale[3] = { 1.0f, 1.0f, 1.0f }; - loc_eul_size_to_mat4( - stl->storage->grid_matrix, - cursor->location, - cursor->rotation_euler, - scale); - break; - } - default: - { - copy_m4_m4(stl->storage->grid_matrix, ob->obmat); - break; - } - } - - /* Move the origin to Object or Cursor */ - if (ts->gpencil_v3d_align & GP_PROJECT_CURSOR) { - copy_v3_v3(stl->storage->grid_matrix[3], cursor->location); - } - else { - copy_v3_v3(stl->storage->grid_matrix[3], ob->obmat[3]); - } - - DRW_shgroup_call_add( - stl->g_data->shgrps_grid, - e_data.batch_grid, - stl->storage->grid_matrix); - } - } + /* object must be visible */ + if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { + return; + } + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + ToolSettings *ts = scene->toolsettings; + View3D *v3d = draw_ctx->v3d; + const View3DCursor *cursor = &scene->cursor; + + if (ob->type == OB_GPENCIL && ob->data) { + bGPdata *gpd = (bGPdata *)ob->data; + + /* enable multisample and basic framebuffer creation */ + stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_MULTISAMPLE; + stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_BASIC; + + /* when start/stop animation the cache must be set as dirty to reset all data */ + if (stl->storage->reset_cache) { + gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + stl->storage->reset_cache = false; + } + + if ((stl->g_data->session_flag & GP_DRW_PAINT_READY) == 0) { + /* bound box object are not visible, only external box*/ + if (ob->dt != OB_BOUNDBOX) { + /* save gp objects for drawing later */ + stl->g_data->gp_object_cache = gpencil_object_cache_add(stl->g_data->gp_object_cache, + ob, + &stl->g_data->gp_cache_size, + &stl->g_data->gp_cache_used); + + /* enable instance loop */ + if (!stl->g_data->do_instances) { + tGPencilObjectCache *cache_ob = + &stl->g_data->gp_object_cache[stl->g_data->gp_cache_used - 1]; + stl->g_data->do_instances = cache_ob->is_dup_ob; + } + + /* load drawing data */ + gpencil_add_draw_data(vedata, ob); + } + } + + /* draw current painting strokes + * (only if region is equal to originated paint region) + * + * Need to use original data because to use the copy of data, the paint + * operator must update depsgraph and this makes that first events of the + * mouse are missed if the datablock is very big due the time required to + * copy the datablock. The search of the original data is faster than a + * full datablock copy. + * Using the original data doesn't require a copy and the feel when drawing + * is far better. + */ + + bGPdata *gpd_orig = (bGPdata *)DEG_get_original_id(&gpd->id); + if ((draw_ctx->obact == ob) && + ((gpd_orig->runtime.ar == NULL) || (gpd_orig->runtime.ar == draw_ctx->ar))) { + DRW_gpencil_populate_buffer_strokes(&e_data, vedata, ts, ob); + } + + /* grid */ + if ((v3d) && ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && (v3d->gp_flag & V3D_GP_SHOW_GRID) && + (ob->type == OB_GPENCIL) && (ob == draw_ctx->obact) && + ((ts->gpencil_v3d_align & GP_PROJECT_DEPTH_VIEW) == 0) && + ((ts->gpencil_v3d_align & GP_PROJECT_DEPTH_STROKE) == 0)) { + GPU_BATCH_DISCARD_SAFE(e_data.batch_grid); + MEM_SAFE_FREE(e_data.batch_grid); + + e_data.batch_grid = DRW_gpencil_get_grid(ob); + + /* define grid orientation */ + switch (ts->gp_sculpt.lock_axis) { + case GP_LOCKAXIS_VIEW: { + /* align always to view */ + invert_m4_m4(stl->storage->grid_matrix, draw_ctx->rv3d->viewmat); + /* copy ob location */ + copy_v3_v3(stl->storage->grid_matrix[3], ob->obmat[3]); + break; + } + case GP_LOCKAXIS_CURSOR: { + float scale[3] = {1.0f, 1.0f, 1.0f}; + loc_eul_size_to_mat4( + stl->storage->grid_matrix, cursor->location, cursor->rotation_euler, scale); + break; + } + default: { + copy_m4_m4(stl->storage->grid_matrix, ob->obmat); + break; + } + } + + /* Move the origin to Object or Cursor */ + if (ts->gpencil_v3d_align & GP_PROJECT_CURSOR) { + copy_v3_v3(stl->storage->grid_matrix[3], cursor->location); + } + else { + copy_v3_v3(stl->storage->grid_matrix[3], ob->obmat[3]); + } + + DRW_shgroup_call_add(stl->g_data->shgrps_grid, e_data.batch_grid, stl->storage->grid_matrix); + } + } } void GPENCIL_cache_finish(void *vedata) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - tGPencilObjectCache *cache_ob = NULL; - Object *ob = NULL; - - /* create data for instances */ - if (stl->g_data->do_instances) { - GHash *gh_objects = BLI_ghash_str_new(__func__); - /* create hash of real object (non duplicated) */ - for (int i = 0; i < stl->g_data->gp_cache_used; i++) { - cache_ob = &stl->g_data->gp_object_cache[i]; - if (!cache_ob->is_dup_ob) { - ob = cache_ob->ob; - char *name = BKE_id_to_unique_string_key(&ob->id); - BLI_ghash_insert(gh_objects, name, cache_ob->ob); - } - } - - /* draw particles */ - DRW_gpencil_populate_particles(&e_data, gh_objects, vedata); - - /* free hash */ - BLI_ghash_free(gh_objects, MEM_freeN, NULL); - } - - if (stl->g_data->session_flag & (GP_DRW_PAINT_IDLE | GP_DRW_PAINT_FILLING)) { - stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_DRAW; - } - - /* create framebuffers (only for normal drawing) */ - if (!DRW_state_is_select() || !DRW_state_is_depth()) { - GPENCIL_create_framebuffers(vedata); - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + tGPencilObjectCache *cache_ob = NULL; + Object *ob = NULL; + + /* create data for instances */ + if (stl->g_data->do_instances) { + GHash *gh_objects = BLI_ghash_str_new(__func__); + /* create hash of real object (non duplicated) */ + for (int i = 0; i < stl->g_data->gp_cache_used; i++) { + cache_ob = &stl->g_data->gp_object_cache[i]; + if (!cache_ob->is_dup_ob) { + ob = cache_ob->ob; + char *name = BKE_id_to_unique_string_key(&ob->id); + BLI_ghash_insert(gh_objects, name, cache_ob->ob); + } + } + + /* draw particles */ + DRW_gpencil_populate_particles(&e_data, gh_objects, vedata); + + /* free hash */ + BLI_ghash_free(gh_objects, MEM_freeN, NULL); + } + + if (stl->g_data->session_flag & (GP_DRW_PAINT_IDLE | GP_DRW_PAINT_FILLING)) { + stl->storage->framebuffer_flag |= GP_FRAMEBUFFER_DRAW; + } + + /* create framebuffers (only for normal drawing) */ + if (!DRW_state_is_select() || !DRW_state_is_depth()) { + GPENCIL_create_framebuffers(vedata); + } } /* helper function to sort inverse gpencil objects using qsort */ static int gpencil_object_cache_compare_zdepth(const void *a1, const void *a2) { - const tGPencilObjectCache *ps1 = a1, *ps2 = a2; + const tGPencilObjectCache *ps1 = a1, *ps2 = a2; - if (ps1->zdepth < ps2->zdepth) { - return 1; - } - else if (ps1->zdepth > ps2->zdepth) { - return -1; - } + if (ps1->zdepth < ps2->zdepth) { + return 1; + } + else if (ps1->zdepth > ps2->zdepth) { + return -1; + } - return 0; + return 0; } /* prepare a texture with full viewport screenshot for fast drawing */ -static void gpencil_prepare_fast_drawing( - GPENCIL_StorageList *stl, DefaultFramebufferList *dfbl, - GPENCIL_FramebufferList *fbl, DRWPass *pass, - const float clearcol[4]) +static void gpencil_prepare_fast_drawing(GPENCIL_StorageList *stl, + DefaultFramebufferList *dfbl, + GPENCIL_FramebufferList *fbl, + DRWPass *pass, + const float clearcol[4]) { - if (stl->g_data->session_flag & (GP_DRW_PAINT_IDLE | GP_DRW_PAINT_FILLING)) { - GPU_framebuffer_bind(fbl->background_fb); - /* clean only in first loop cycle */ - if (stl->g_data->session_flag & GP_DRW_PAINT_IDLE) { - GPU_framebuffer_clear_color_depth(fbl->background_fb, clearcol, 1.0f); - stl->g_data->session_flag = GP_DRW_PAINT_FILLING; - } - /* repeat pass to fill temp texture */ - DRW_draw_pass(pass); - /* set default framebuffer again */ - GPU_framebuffer_bind(dfbl->default_fb); - } + if (stl->g_data->session_flag & (GP_DRW_PAINT_IDLE | GP_DRW_PAINT_FILLING)) { + GPU_framebuffer_bind(fbl->background_fb); + /* clean only in first loop cycle */ + if (stl->g_data->session_flag & GP_DRW_PAINT_IDLE) { + GPU_framebuffer_clear_color_depth(fbl->background_fb, clearcol, 1.0f); + stl->g_data->session_flag = GP_DRW_PAINT_FILLING; + } + /* repeat pass to fill temp texture */ + DRW_draw_pass(pass); + /* set default framebuffer again */ + GPU_framebuffer_bind(dfbl->default_fb); + } } static void gpencil_free_obj_runtime(GPENCIL_StorageList *stl) { - if (stl->g_data->gp_object_cache == NULL) { - return; - } - - /* reset all cache flags */ - for (int i = 0; i < stl->g_data->gp_cache_used; i++) { - tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; - if (cache_ob) { - bGPdata *gpd = cache_ob->gpd; - gpd->flag &= ~GP_DATA_CACHE_IS_DIRTY; - - /* free shgrp array */ - cache_ob->tot_layers = 0; - MEM_SAFE_FREE(cache_ob->name); - MEM_SAFE_FREE(cache_ob->shgrp_array); - } - } - - /* free the cache itself */ - MEM_SAFE_FREE(stl->g_data->gp_object_cache); + if (stl->g_data->gp_object_cache == NULL) { + return; + } + + /* reset all cache flags */ + for (int i = 0; i < stl->g_data->gp_cache_used; i++) { + tGPencilObjectCache *cache_ob = &stl->g_data->gp_object_cache[i]; + if (cache_ob) { + bGPdata *gpd = cache_ob->gpd; + gpd->flag &= ~GP_DATA_CACHE_IS_DIRTY; + + /* free shgrp array */ + cache_ob->tot_layers = 0; + MEM_SAFE_FREE(cache_ob->name); + MEM_SAFE_FREE(cache_ob->shgrp_array); + } + } + + /* free the cache itself */ + MEM_SAFE_FREE(stl->g_data->gp_object_cache); } -static void gpencil_draw_pass_range( - GPENCIL_FramebufferList *fbl, GPENCIL_StorageList *stl, - GPENCIL_PassList *psl, GPENCIL_TextureList *txl, - GPUFrameBuffer *fb, Object *ob, bGPdata *gpd, - DRWShadingGroup *init_shgrp, DRWShadingGroup *end_shgrp, bool multi) +static void gpencil_draw_pass_range(GPENCIL_FramebufferList *fbl, + GPENCIL_StorageList *stl, + GPENCIL_PassList *psl, + GPENCIL_TextureList *txl, + GPUFrameBuffer *fb, + Object *ob, + bGPdata *gpd, + DRWShadingGroup *init_shgrp, + DRWShadingGroup *end_shgrp, + bool multi) { - if (init_shgrp == NULL) { - return; - } - - /* previews don't use AA */ - if ((!stl->storage->is_mat_preview) && (multi)) { - MULTISAMPLE_GP_SYNC_ENABLE(stl->storage->multisamples, fbl); - } - - DRW_draw_pass_subset( - GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : psl->stroke_pass_2d, - init_shgrp, end_shgrp); - - if ((!stl->storage->is_mat_preview) && (multi)) { - MULTISAMPLE_GP_SYNC_DISABLE(stl->storage->multisamples, fbl, fb, txl); - } + if (init_shgrp == NULL) { + return; + } + + /* previews don't use AA */ + if ((!stl->storage->is_mat_preview) && (multi)) { + MULTISAMPLE_GP_SYNC_ENABLE(stl->storage->multisamples, fbl); + } + + DRW_draw_pass_subset(GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : psl->stroke_pass_2d, + init_shgrp, + end_shgrp); + + if ((!stl->storage->is_mat_preview) && (multi)) { + MULTISAMPLE_GP_SYNC_DISABLE(stl->storage->multisamples, fbl, fb, txl); + } } /* draw strokes to use for selection */ static void drw_gpencil_select_render(GPENCIL_StorageList *stl, GPENCIL_PassList *psl) { - tGPencilObjectCache *cache_ob; - tGPencilObjectCache_shgrp *array_elm = NULL; - DRWShadingGroup *init_shgrp = NULL; - DRWShadingGroup *end_shgrp = NULL; - - /* Draw all pending objects */ - if ((stl->g_data->gp_cache_used > 0) && - (stl->g_data->gp_object_cache)) - { - /* sort by zdepth */ - qsort(stl->g_data->gp_object_cache, stl->g_data->gp_cache_used, - sizeof(tGPencilObjectCache), gpencil_object_cache_compare_zdepth); - - for (int i = 0; i < stl->g_data->gp_cache_used; i++) { - cache_ob = &stl->g_data->gp_object_cache[i]; - if (cache_ob) { - Object *ob = cache_ob->ob; - bGPdata *gpd = cache_ob->gpd; - init_shgrp = NULL; - if (cache_ob->tot_layers > 0) { - for (int e = 0; e < cache_ob->tot_layers; e++) { - array_elm = &cache_ob->shgrp_array[e]; - if (init_shgrp == NULL) { - init_shgrp = array_elm->init_shgrp; - } - end_shgrp = array_elm->end_shgrp; - } - /* draw group */ - DRW_draw_pass_subset( - GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : psl->stroke_pass_2d, - init_shgrp, end_shgrp); - } - /* the cache must be dirty for next loop */ - gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - } - } - } + tGPencilObjectCache *cache_ob; + tGPencilObjectCache_shgrp *array_elm = NULL; + DRWShadingGroup *init_shgrp = NULL; + DRWShadingGroup *end_shgrp = NULL; + + /* Draw all pending objects */ + if ((stl->g_data->gp_cache_used > 0) && (stl->g_data->gp_object_cache)) { + /* sort by zdepth */ + qsort(stl->g_data->gp_object_cache, + stl->g_data->gp_cache_used, + sizeof(tGPencilObjectCache), + gpencil_object_cache_compare_zdepth); + + for (int i = 0; i < stl->g_data->gp_cache_used; i++) { + cache_ob = &stl->g_data->gp_object_cache[i]; + if (cache_ob) { + Object *ob = cache_ob->ob; + bGPdata *gpd = cache_ob->gpd; + init_shgrp = NULL; + if (cache_ob->tot_layers > 0) { + for (int e = 0; e < cache_ob->tot_layers; e++) { + array_elm = &cache_ob->shgrp_array[e]; + if (init_shgrp == NULL) { + init_shgrp = array_elm->init_shgrp; + } + end_shgrp = array_elm->end_shgrp; + } + /* draw group */ + DRW_draw_pass_subset(GPENCIL_3D_DRAWMODE(ob, gpd) ? psl->stroke_pass_3d : + psl->stroke_pass_2d, + init_shgrp, + end_shgrp); + } + /* the cache must be dirty for next loop */ + gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + } + } + } } /* draw scene */ void GPENCIL_draw_scene(void *ved) { - GPENCIL_Data *vedata = (GPENCIL_Data *)ved; - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - GPENCIL_TextureList *txl = ((GPENCIL_Data *)vedata)->txl; - - tGPencilObjectCache *cache_ob; - tGPencilObjectCache_shgrp *array_elm = NULL; - DRWShadingGroup *init_shgrp = NULL; - DRWShadingGroup *end_shgrp = NULL; - - const float clearcol[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - Object *obact = draw_ctx->obact; - const bool playing = stl->storage->is_playing; - const bool is_render = stl->storage->is_render; - bGPdata *gpd_act = (obact) && (obact->type == OB_GPENCIL) ? (bGPdata *)obact->data : NULL; - const bool is_edit = GPENCIL_ANY_EDIT_MODE(gpd_act); - const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; - - /* if the draw is for select, do a basic drawing and return */ - if (DRW_state_is_select() || DRW_state_is_depth()) { - drw_gpencil_select_render(stl, psl); - /* free memory */ - gpencil_free_obj_runtime(stl); - return; - } - - /* paper pass to display a comfortable area to draw over complex scenes with geometry */ - if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { - if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (v3d->gp_flag & V3D_GP_SHOW_PAPER)) - { - DRW_draw_pass(psl->paper_pass); - } - } - - /* if we have a painting session, we use fast viewport drawing method */ - if ((!is_render) && (stl->g_data->session_flag & GP_DRW_PAINT_PAINTING)) { - GPU_framebuffer_bind(dfbl->default_fb); - - MULTISAMPLE_GP_SYNC_ENABLE(stl->storage->multisamples, fbl); - if (obact->dt != OB_BOUNDBOX) { - DRW_draw_pass(psl->background_pass); - } - DRW_draw_pass(psl->drawing_pass); - - MULTISAMPLE_GP_SYNC_DISABLE(stl->storage->multisamples, fbl, dfbl->default_fb, txl); - - /* free memory */ - gpencil_free_obj_runtime(stl); - - /* grid pass */ - if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { - if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (v3d->gp_flag & V3D_GP_SHOW_GRID)) - { - DRW_draw_pass(psl->grid_pass); - } - } - return; - } - - if (DRW_state_is_fbo()) { - - /* Draw all pending objects */ - if (stl->g_data->gp_cache_used > 0) { - /* sort by zdepth */ - qsort(stl->g_data->gp_object_cache, stl->g_data->gp_cache_used, - sizeof(tGPencilObjectCache), gpencil_object_cache_compare_zdepth); - - for (int i = 0; i < stl->g_data->gp_cache_used; i++) { - cache_ob = &stl->g_data->gp_object_cache[i]; - Object *ob = cache_ob->ob; - bGPdata *gpd = cache_ob->gpd; - init_shgrp = NULL; - /* Render stroke in separated framebuffer */ - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - - /* Stroke Pass: - * draw only a subset that usually starts with a fill and ends with stroke - */ - bool use_blend = false; - if (cache_ob->tot_layers > 0) { - for (int e = 0; e < cache_ob->tot_layers; e++) { - bool is_last = e == cache_ob->tot_layers - 1 ? true : false; - array_elm = &cache_ob->shgrp_array[e]; - - if (((array_elm->mode == eGplBlendMode_Normal) && - (!use_blend) && (!array_elm->clamp_layer)) || - (e == 0)) - { - if (init_shgrp == NULL) { - init_shgrp = array_elm->init_shgrp; - } - end_shgrp = array_elm->end_shgrp; - } - else { - use_blend = true; - /* draw pending groups */ - gpencil_draw_pass_range( - fbl, stl, psl, txl, fbl->temp_fb_a, - ob, gpd, init_shgrp, end_shgrp, is_last); - - /* draw current group in separated texture */ - init_shgrp = array_elm->init_shgrp; - end_shgrp = array_elm->end_shgrp; - - GPU_framebuffer_bind(fbl->temp_fb_fx); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); - gpencil_draw_pass_range( - fbl, stl, psl, txl, fbl->temp_fb_fx, - ob, gpd, init_shgrp, end_shgrp, - is_last); - - /* Blend A texture and FX texture */ - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - stl->storage->blend_mode = array_elm->mode; - stl->storage->clamp_layer = (int)array_elm->clamp_layer; - stl->storage->blend_opacity = array_elm->blend_opacity; - stl->storage->tonemapping = stl->storage->is_render ? 1 : 0; - DRW_draw_pass(psl->blend_pass); - stl->storage->tonemapping = 0; - - /* Copy B texture to A texture to follow loop */ - e_data.input_depth_tx = e_data.temp_depth_tx_b; - e_data.input_color_tx = e_data.temp_color_tx_b; - - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); - - /* prepare next group */ - init_shgrp = NULL; - } - } - /* last group */ - gpencil_draw_pass_range( - fbl, stl, psl, txl, fbl->temp_fb_a, - ob, gpd, init_shgrp, end_shgrp, - true); - } - - /* Current buffer drawing */ - if ((!is_render) && (cache_ob->is_dup_ob == false)) { - DRW_draw_pass(psl->drawing_pass); - } - /* fx passes */ - if (cache_ob->has_fx == true) { - stl->storage->tonemapping = 0; - DRW_gpencil_fx_draw(&e_data, vedata, cache_ob); - } - - e_data.input_depth_tx = e_data.temp_depth_tx_a; - e_data.input_color_tx = e_data.temp_color_tx_a; - - /* Combine with scene buffer */ - if ((!is_render) || (fbl->main == NULL)) { - GPU_framebuffer_bind(dfbl->default_fb); - } - else { - GPU_framebuffer_bind(fbl->main); - } - /* tonemapping */ - stl->storage->tonemapping = stl->storage->is_render ? 1 : 0; - - /* active select flag and selection color */ - stl->storage->do_select_outline = ( - (overlay) && - (ob->base_flag & BASE_SELECTED) && - (ob->mode == OB_MODE_OBJECT) && - (!is_render) && (!playing) && - (v3d->flag & V3D_SELECT_OUTLINE)); - - /* if active object is not object mode, disable for all objects */ - if ((draw_ctx->obact) && (draw_ctx->obact->mode != OB_MODE_OBJECT)) { - stl->storage->do_select_outline = 0; - } - UI_GetThemeColorShadeAlpha4fv( - (ob == draw_ctx->obact) ? TH_ACTIVE : TH_SELECT, 0, -40, - stl->storage->select_color); - - /* draw mix pass */ - DRW_draw_pass(psl->mix_pass); - - /* disable select flag */ - stl->storage->do_select_outline = 0; - - /* prepare for fast drawing */ - if (!is_render) { - if (!playing) { - gpencil_prepare_fast_drawing(stl, dfbl, fbl, psl->mix_pass_noblend, clearcol); - } - } - else { - /* if render, the cache must be dirty for next loop */ - gpd->flag |= GP_DATA_CACHE_IS_DIRTY; - } - } - /* edit points */ - if ((!is_render) && (!playing) && (is_edit)) { - DRW_draw_pass(psl->edit_pass); - } - } - /* grid pass */ - if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { - if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (v3d->gp_flag & V3D_GP_SHOW_GRID)) - { - DRW_draw_pass(psl->grid_pass); - } - } - } - /* free memory */ - gpencil_free_obj_runtime(stl); - - /* reset */ - if (DRW_state_is_fbo()) { - /* attach again default framebuffer */ - if (!is_render) { - GPU_framebuffer_bind(dfbl->default_fb); - } - - /* the temp texture is ready. Now we can use fast screen drawing */ - if (stl->g_data->session_flag & GP_DRW_PAINT_FILLING) { - stl->g_data->session_flag = GP_DRW_PAINT_READY; - } - } + GPENCIL_Data *vedata = (GPENCIL_Data *)ved; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + GPENCIL_TextureList *txl = ((GPENCIL_Data *)vedata)->txl; + + tGPencilObjectCache *cache_ob; + tGPencilObjectCache_shgrp *array_elm = NULL; + DRWShadingGroup *init_shgrp = NULL; + DRWShadingGroup *end_shgrp = NULL; + + const float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + Object *obact = draw_ctx->obact; + const bool playing = stl->storage->is_playing; + const bool is_render = stl->storage->is_render; + bGPdata *gpd_act = (obact) && (obact->type == OB_GPENCIL) ? (bGPdata *)obact->data : NULL; + const bool is_edit = GPENCIL_ANY_EDIT_MODE(gpd_act); + const bool overlay = v3d != NULL ? (bool)((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) : true; + + /* if the draw is for select, do a basic drawing and return */ + if (DRW_state_is_select() || DRW_state_is_depth()) { + drw_gpencil_select_render(stl, psl); + /* free memory */ + gpencil_free_obj_runtime(stl); + return; + } + + /* paper pass to display a comfortable area to draw over complex scenes with geometry */ + if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { + if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && (v3d->gp_flag & V3D_GP_SHOW_PAPER)) { + DRW_draw_pass(psl->paper_pass); + } + } + + /* if we have a painting session, we use fast viewport drawing method */ + if ((!is_render) && (stl->g_data->session_flag & GP_DRW_PAINT_PAINTING)) { + GPU_framebuffer_bind(dfbl->default_fb); + + MULTISAMPLE_GP_SYNC_ENABLE(stl->storage->multisamples, fbl); + if (obact->dt != OB_BOUNDBOX) { + DRW_draw_pass(psl->background_pass); + } + DRW_draw_pass(psl->drawing_pass); + + MULTISAMPLE_GP_SYNC_DISABLE(stl->storage->multisamples, fbl, dfbl->default_fb, txl); + + /* free memory */ + gpencil_free_obj_runtime(stl); + + /* grid pass */ + if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { + if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && (v3d->gp_flag & V3D_GP_SHOW_GRID)) { + DRW_draw_pass(psl->grid_pass); + } + } + return; + } + + if (DRW_state_is_fbo()) { + + /* Draw all pending objects */ + if (stl->g_data->gp_cache_used > 0) { + /* sort by zdepth */ + qsort(stl->g_data->gp_object_cache, + stl->g_data->gp_cache_used, + sizeof(tGPencilObjectCache), + gpencil_object_cache_compare_zdepth); + + for (int i = 0; i < stl->g_data->gp_cache_used; i++) { + cache_ob = &stl->g_data->gp_object_cache[i]; + Object *ob = cache_ob->ob; + bGPdata *gpd = cache_ob->gpd; + init_shgrp = NULL; + /* Render stroke in separated framebuffer */ + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + + /* Stroke Pass: + * draw only a subset that usually starts with a fill and ends with stroke + */ + bool use_blend = false; + if (cache_ob->tot_layers > 0) { + for (int e = 0; e < cache_ob->tot_layers; e++) { + bool is_last = e == cache_ob->tot_layers - 1 ? true : false; + array_elm = &cache_ob->shgrp_array[e]; + + if (((array_elm->mode == eGplBlendMode_Normal) && (!use_blend) && + (!array_elm->clamp_layer)) || + (e == 0)) { + if (init_shgrp == NULL) { + init_shgrp = array_elm->init_shgrp; + } + end_shgrp = array_elm->end_shgrp; + } + else { + use_blend = true; + /* draw pending groups */ + gpencil_draw_pass_range( + fbl, stl, psl, txl, fbl->temp_fb_a, ob, gpd, init_shgrp, end_shgrp, is_last); + + /* draw current group in separated texture */ + init_shgrp = array_elm->init_shgrp; + end_shgrp = array_elm->end_shgrp; + + GPU_framebuffer_bind(fbl->temp_fb_fx); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); + gpencil_draw_pass_range( + fbl, stl, psl, txl, fbl->temp_fb_fx, ob, gpd, init_shgrp, end_shgrp, is_last); + + /* Blend A texture and FX texture */ + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + stl->storage->blend_mode = array_elm->mode; + stl->storage->clamp_layer = (int)array_elm->clamp_layer; + stl->storage->blend_opacity = array_elm->blend_opacity; + stl->storage->tonemapping = stl->storage->is_render ? 1 : 0; + DRW_draw_pass(psl->blend_pass); + stl->storage->tonemapping = 0; + + /* Copy B texture to A texture to follow loop */ + e_data.input_depth_tx = e_data.temp_depth_tx_b; + e_data.input_color_tx = e_data.temp_color_tx_b; + + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); + + /* prepare next group */ + init_shgrp = NULL; + } + } + /* last group */ + gpencil_draw_pass_range( + fbl, stl, psl, txl, fbl->temp_fb_a, ob, gpd, init_shgrp, end_shgrp, true); + } + + /* Current buffer drawing */ + if ((!is_render) && (cache_ob->is_dup_ob == false)) { + DRW_draw_pass(psl->drawing_pass); + } + /* fx passes */ + if (cache_ob->has_fx == true) { + stl->storage->tonemapping = 0; + DRW_gpencil_fx_draw(&e_data, vedata, cache_ob); + } + + e_data.input_depth_tx = e_data.temp_depth_tx_a; + e_data.input_color_tx = e_data.temp_color_tx_a; + + /* Combine with scene buffer */ + if ((!is_render) || (fbl->main == NULL)) { + GPU_framebuffer_bind(dfbl->default_fb); + } + else { + GPU_framebuffer_bind(fbl->main); + } + /* tonemapping */ + stl->storage->tonemapping = stl->storage->is_render ? 1 : 0; + + /* active select flag and selection color */ + stl->storage->do_select_outline = ((overlay) && (ob->base_flag & BASE_SELECTED) && + (ob->mode == OB_MODE_OBJECT) && (!is_render) && + (!playing) && (v3d->flag & V3D_SELECT_OUTLINE)); + + /* if active object is not object mode, disable for all objects */ + if ((draw_ctx->obact) && (draw_ctx->obact->mode != OB_MODE_OBJECT)) { + stl->storage->do_select_outline = 0; + } + UI_GetThemeColorShadeAlpha4fv( + (ob == draw_ctx->obact) ? TH_ACTIVE : TH_SELECT, 0, -40, stl->storage->select_color); + + /* draw mix pass */ + DRW_draw_pass(psl->mix_pass); + + /* disable select flag */ + stl->storage->do_select_outline = 0; + + /* prepare for fast drawing */ + if (!is_render) { + if (!playing) { + gpencil_prepare_fast_drawing(stl, dfbl, fbl, psl->mix_pass_noblend, clearcol); + } + } + else { + /* if render, the cache must be dirty for next loop */ + gpd->flag |= GP_DATA_CACHE_IS_DIRTY; + } + } + /* edit points */ + if ((!is_render) && (!playing) && (is_edit)) { + DRW_draw_pass(psl->edit_pass); + } + } + /* grid pass */ + if ((!is_render) && (obact) && (obact->type == OB_GPENCIL)) { + if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && (v3d->gp_flag & V3D_GP_SHOW_GRID)) { + DRW_draw_pass(psl->grid_pass); + } + } + } + /* free memory */ + gpencil_free_obj_runtime(stl); + + /* reset */ + if (DRW_state_is_fbo()) { + /* attach again default framebuffer */ + if (!is_render) { + GPU_framebuffer_bind(dfbl->default_fb); + } + + /* the temp texture is ready. Now we can use fast screen drawing */ + if (stl->g_data->session_flag & GP_DRW_PAINT_FILLING) { + stl->g_data->session_flag = GP_DRW_PAINT_READY; + } + } } static const DrawEngineDataSize GPENCIL_data_size = DRW_VIEWPORT_DATA_SIZE(GPENCIL_Data); DrawEngineType draw_engine_gpencil_type = { - NULL, NULL, - N_("GpencilMode"), - &GPENCIL_data_size, - &GPENCIL_engine_init, - &GPENCIL_engine_free, - &GPENCIL_cache_init, - &GPENCIL_cache_populate, - &GPENCIL_cache_finish, - NULL, - &GPENCIL_draw_scene, - NULL, - NULL, - &GPENCIL_render_to_image, + NULL, + NULL, + N_("GpencilMode"), + &GPENCIL_data_size, + &GPENCIL_engine_init, + &GPENCIL_engine_free, + &GPENCIL_cache_init, + &GPENCIL_cache_populate, + &GPENCIL_cache_finish, + NULL, + &GPENCIL_draw_scene, + NULL, + NULL, + &GPENCIL_render_to_image, }; diff --git a/source/blender/draw/engines/gpencil/gpencil_engine.h b/source/blender/draw/engines/gpencil/gpencil_engine.h index 5d0d2397f8d..3add2cb0f1b 100644 --- a/source/blender/draw/engines/gpencil/gpencil_engine.h +++ b/source/blender/draw/engines/gpencil/gpencil_engine.h @@ -42,376 +42,414 @@ struct tGPspoint; /* used to expand VBOs. Size has a big impact in the speed */ #define GPENCIL_VBO_BLOCK_SIZE 128 -#define GPENCIL_COLOR_SOLID 0 +#define GPENCIL_COLOR_SOLID 0 #define GPENCIL_COLOR_TEXTURE 1 #define GPENCIL_COLOR_PATTERN 2 #define GP_SIMPLIFY(scene) ((scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_ENABLE)) -#define GP_SIMPLIFY_ONPLAY(playing) (((playing == true) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_ON_PLAY)) || ((scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_ON_PLAY) == 0)) -#define GP_SIMPLIFY_FILL(scene, playing) ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_FILL))) -#define GP_SIMPLIFY_MODIF(scene, playing) ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_MODIFIER))) -#define GP_SIMPLIFY_FX(scene, playing) ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_FX))) -#define GP_SIMPLIFY_BLEND(scene, playing) ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_BLEND))) +#define GP_SIMPLIFY_ONPLAY(playing) \ + (((playing == true) && (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_ON_PLAY)) || \ + ((scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_ON_PLAY) == 0)) +#define GP_SIMPLIFY_FILL(scene, playing) \ + ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && \ + (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_FILL))) +#define GP_SIMPLIFY_MODIF(scene, playing) \ + ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && \ + (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_MODIFIER))) +#define GP_SIMPLIFY_FX(scene, playing) \ + ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && \ + (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_FX))) +#define GP_SIMPLIFY_BLEND(scene, playing) \ + ((GP_SIMPLIFY_ONPLAY(playing) && (GP_SIMPLIFY(scene)) && \ + (scene->r.simplify_gpencil & SIMPLIFY_GPENCIL_BLEND))) #define GP_IS_CAMERAVIEW ((rv3d != NULL) && (rv3d->persp == RV3D_CAMOB && v3d->camera)) - /* *********** OBJECTS CACHE *********** */ +/* *********** OBJECTS CACHE *********** */ typedef struct tGPencilObjectCache_shgrp { - int mode; - bool clamp_layer; - float blend_opacity; - DRWShadingGroup *init_shgrp; - DRWShadingGroup *end_shgrp; + int mode; + bool clamp_layer; + float blend_opacity; + DRWShadingGroup *init_shgrp; + DRWShadingGroup *end_shgrp; } tGPencilObjectCache_shgrp; - /* used to save gpencil object data for drawing */ +/* used to save gpencil object data for drawing */ typedef struct tGPencilObjectCache { - struct Object *ob; - struct bGPdata *gpd; - int idx; /*original index, can change after sort */ - char *name; - - /* effects */ - bool has_fx; - ListBase shader_fx; - float pixfactor; - DRWShadingGroup *fx_wave_sh; - DRWShadingGroup *fx_blur_sh; - DRWShadingGroup *fx_colorize_sh; - DRWShadingGroup *fx_pixel_sh; - DRWShadingGroup *fx_rim_sh; - DRWShadingGroup *fx_shadow_sh; - DRWShadingGroup *fx_glow_sh; - DRWShadingGroup *fx_swirl_sh; - DRWShadingGroup *fx_flip_sh; - DRWShadingGroup *fx_light_sh; - - float loc[3]; - float obmat[4][4]; - float zdepth; /* z-depth value to sort gp object */ - bool is_dup_ob; /* flag to tag duplicate objects */ - float scale; - - /* shading type */ - int shading_type[2]; - - /* GPU data size */ - int tot_vertex; - int tot_triangles; - - /* Save shader groups by layer */ - int tot_layers; - tGPencilObjectCache_shgrp *shgrp_array; + struct Object *ob; + struct bGPdata *gpd; + int idx; /*original index, can change after sort */ + char *name; + + /* effects */ + bool has_fx; + ListBase shader_fx; + float pixfactor; + DRWShadingGroup *fx_wave_sh; + DRWShadingGroup *fx_blur_sh; + DRWShadingGroup *fx_colorize_sh; + DRWShadingGroup *fx_pixel_sh; + DRWShadingGroup *fx_rim_sh; + DRWShadingGroup *fx_shadow_sh; + DRWShadingGroup *fx_glow_sh; + DRWShadingGroup *fx_swirl_sh; + DRWShadingGroup *fx_flip_sh; + DRWShadingGroup *fx_light_sh; + + float loc[3]; + float obmat[4][4]; + float zdepth; /* z-depth value to sort gp object */ + bool is_dup_ob; /* flag to tag duplicate objects */ + float scale; + + /* shading type */ + int shading_type[2]; + + /* GPU data size */ + int tot_vertex; + int tot_triangles; + + /* Save shader groups by layer */ + int tot_layers; + tGPencilObjectCache_shgrp *shgrp_array; } tGPencilObjectCache; - /* *********** LISTS *********** */ +/* *********** LISTS *********** */ typedef struct GPENCIL_shgroup { - int s_clamp; - int stroke_style; - int color_type; - int mode; - int texture_mix; - int texture_flip; - int texture_clamp; - int fill_style; - int keep_size; - int caps_mode[2]; - float obj_scale; - int xray_mode; - int use_follow_path; - - float gradient_f; - float gradient_s[2]; - - /* color of the wireframe */ - float wire_color[4]; - /* shading type and mode */ - int shading_type[2]; - int is_xray; + int s_clamp; + int stroke_style; + int color_type; + int mode; + int texture_mix; + int texture_flip; + int texture_clamp; + int fill_style; + int keep_size; + int caps_mode[2]; + float obj_scale; + int xray_mode; + int use_follow_path; + + float gradient_f; + float gradient_s[2]; + + /* color of the wireframe */ + float wire_color[4]; + /* shading type and mode */ + int shading_type[2]; + int is_xray; } GPENCIL_shgroup; typedef struct GPENCIL_Storage { - int shgroup_id; /* total elements */ - float unit_matrix[4][4]; - int stroke_style; - int color_type; - int mode; - int xray; - int keep_size; - float obj_scale; - float pixfactor; - bool is_playing; - bool is_render; - bool is_mat_preview; - int is_xray; - bool reset_cache; - bool buffer_stroke; - bool buffer_fill; - bool buffer_ctrlpoint; - const float *pixsize; - float render_pixsize; - int tonemapping; - int do_select_outline; - float select_color[4]; - short multisamples; - - short framebuffer_flag; /* flag what framebuffer need to create */ - - int blend_mode; - int clamp_layer; - float blend_opacity; - - /* simplify settings*/ - bool simplify_fill; - bool simplify_modif; - bool simplify_fx; - bool simplify_blend; - - float gradient_f; - float gradient_s[2]; - int use_follow_path; - - /* Render Matrices and data */ - float persmat[4][4], persinv[4][4]; - float viewmat[4][4], viewinv[4][4]; - float winmat[4][4], wininv[4][4]; - float view_vecs[2][4]; /* vec4[2] */ - - float grid_matrix[4][4]; - int shade_render[2]; - - Object *camera; /* camera pointer for render mode */ + int shgroup_id; /* total elements */ + float unit_matrix[4][4]; + int stroke_style; + int color_type; + int mode; + int xray; + int keep_size; + float obj_scale; + float pixfactor; + bool is_playing; + bool is_render; + bool is_mat_preview; + int is_xray; + bool reset_cache; + bool buffer_stroke; + bool buffer_fill; + bool buffer_ctrlpoint; + const float *pixsize; + float render_pixsize; + int tonemapping; + int do_select_outline; + float select_color[4]; + short multisamples; + + short framebuffer_flag; /* flag what framebuffer need to create */ + + int blend_mode; + int clamp_layer; + float blend_opacity; + + /* simplify settings*/ + bool simplify_fill; + bool simplify_modif; + bool simplify_fx; + bool simplify_blend; + + float gradient_f; + float gradient_s[2]; + int use_follow_path; + + /* Render Matrices and data */ + float persmat[4][4], persinv[4][4]; + float viewmat[4][4], viewinv[4][4]; + float winmat[4][4], wininv[4][4]; + float view_vecs[2][4]; /* vec4[2] */ + + float grid_matrix[4][4]; + int shade_render[2]; + + Object *camera; /* camera pointer for render mode */ } GPENCIL_Storage; typedef enum eGpencilFramebuffer_Flag { - GP_FRAMEBUFFER_MULTISAMPLE = (1 << 0), - GP_FRAMEBUFFER_BASIC = (1 << 1), - GP_FRAMEBUFFER_DRAW = (1 << 2), + GP_FRAMEBUFFER_MULTISAMPLE = (1 << 0), + GP_FRAMEBUFFER_BASIC = (1 << 1), + GP_FRAMEBUFFER_DRAW = (1 << 2), } eGpencilFramebuffer_Flag; typedef struct GPENCIL_StorageList { - struct GPENCIL_Storage *storage; - struct g_data *g_data; - struct GPENCIL_shgroup *shgroups; + struct GPENCIL_Storage *storage; + struct g_data *g_data; + struct GPENCIL_shgroup *shgroups; } GPENCIL_StorageList; typedef struct GPENCIL_PassList { - struct DRWPass *stroke_pass_2d; - struct DRWPass *stroke_pass_3d; - struct DRWPass *edit_pass; - struct DRWPass *drawing_pass; - struct DRWPass *mix_pass; - struct DRWPass *mix_pass_noblend; - struct DRWPass *background_pass; - struct DRWPass *paper_pass; - struct DRWPass *grid_pass; - struct DRWPass *blend_pass; - - /* effects */ - struct DRWPass *fx_shader_pass; - struct DRWPass *fx_shader_pass_blend; + struct DRWPass *stroke_pass_2d; + struct DRWPass *stroke_pass_3d; + struct DRWPass *edit_pass; + struct DRWPass *drawing_pass; + struct DRWPass *mix_pass; + struct DRWPass *mix_pass_noblend; + struct DRWPass *background_pass; + struct DRWPass *paper_pass; + struct DRWPass *grid_pass; + struct DRWPass *blend_pass; + + /* effects */ + struct DRWPass *fx_shader_pass; + struct DRWPass *fx_shader_pass_blend; } GPENCIL_PassList; typedef struct GPENCIL_FramebufferList { - struct GPUFrameBuffer *main; - struct GPUFrameBuffer *temp_fb_a; - struct GPUFrameBuffer *temp_fb_b; - struct GPUFrameBuffer *temp_fb_fx; - struct GPUFrameBuffer *background_fb; + struct GPUFrameBuffer *main; + struct GPUFrameBuffer *temp_fb_a; + struct GPUFrameBuffer *temp_fb_b; + struct GPUFrameBuffer *temp_fb_fx; + struct GPUFrameBuffer *background_fb; - struct GPUFrameBuffer *multisample_fb; + struct GPUFrameBuffer *multisample_fb; } GPENCIL_FramebufferList; typedef struct GPENCIL_TextureList { - struct GPUTexture *texture; + struct GPUTexture *texture; - /* multisample textures */ - struct GPUTexture *multisample_color; - struct GPUTexture *multisample_depth; + /* multisample textures */ + struct GPUTexture *multisample_color; + struct GPUTexture *multisample_depth; } GPENCIL_TextureList; typedef struct GPENCIL_Data { - void *engine_type; /* Required */ - struct GPENCIL_FramebufferList *fbl; - struct GPENCIL_TextureList *txl; - struct GPENCIL_PassList *psl; - struct GPENCIL_StorageList *stl; + void *engine_type; /* Required */ + struct GPENCIL_FramebufferList *fbl; + struct GPENCIL_TextureList *txl; + struct GPENCIL_PassList *psl; + struct GPENCIL_StorageList *stl; - /* render textures */ - struct GPUTexture *render_depth_tx; - struct GPUTexture *render_color_tx; + /* render textures */ + struct GPUTexture *render_depth_tx; + struct GPUTexture *render_color_tx; } GPENCIL_Data; /* *********** STATIC *********** */ typedef struct g_data { - struct DRWShadingGroup *shgrps_edit_point; - struct DRWShadingGroup *shgrps_edit_line; - struct DRWShadingGroup *shgrps_drawing_stroke; - struct DRWShadingGroup *shgrps_drawing_fill; - struct DRWShadingGroup *shgrps_grid; + struct DRWShadingGroup *shgrps_edit_point; + struct DRWShadingGroup *shgrps_edit_line; + struct DRWShadingGroup *shgrps_drawing_stroke; + struct DRWShadingGroup *shgrps_drawing_fill; + struct DRWShadingGroup *shgrps_grid; - int gp_cache_used; /* total objects in cache */ - int gp_cache_size; /* size of the cache */ - struct tGPencilObjectCache *gp_object_cache; + int gp_cache_used; /* total objects in cache */ + int gp_cache_size; /* size of the cache */ + struct tGPencilObjectCache *gp_object_cache; - int session_flag; - bool do_instances; + int session_flag; + bool do_instances; } g_data; /* Transient data */ /* flags for fast drawing support */ typedef enum eGPsession_Flag { - GP_DRW_PAINT_HOLD = (1 << 0), - GP_DRW_PAINT_IDLE = (1 << 1), - GP_DRW_PAINT_FILLING = (1 << 2), - GP_DRW_PAINT_READY = (1 << 3), - GP_DRW_PAINT_PAINTING = (1 << 4), + GP_DRW_PAINT_HOLD = (1 << 0), + GP_DRW_PAINT_IDLE = (1 << 1), + GP_DRW_PAINT_FILLING = (1 << 2), + GP_DRW_PAINT_READY = (1 << 3), + GP_DRW_PAINT_PAINTING = (1 << 4), } eGPsession_Flag; typedef struct GPENCIL_e_data { - /* general drawing shaders */ - struct GPUShader *gpencil_fill_sh; - struct GPUShader *gpencil_stroke_sh; - struct GPUShader *gpencil_point_sh; - struct GPUShader *gpencil_edit_point_sh; - struct GPUShader *gpencil_line_sh; - struct GPUShader *gpencil_drawing_fill_sh; - struct GPUShader *gpencil_fullscreen_sh; - struct GPUShader *gpencil_simple_fullscreen_sh; - struct GPUShader *gpencil_blend_fullscreen_sh; - struct GPUShader *gpencil_background_sh; - struct GPUShader *gpencil_paper_sh; - - /* effects */ - struct GPUShader *gpencil_fx_blur_sh; - struct GPUShader *gpencil_fx_colorize_sh; - struct GPUShader *gpencil_fx_flip_sh; - struct GPUShader *gpencil_fx_glow_prepare_sh; - struct GPUShader *gpencil_fx_glow_resolve_sh; - struct GPUShader *gpencil_fx_light_sh; - struct GPUShader *gpencil_fx_pixel_sh; - struct GPUShader *gpencil_fx_rim_prepare_sh; - struct GPUShader *gpencil_fx_rim_resolve_sh; - struct GPUShader *gpencil_fx_shadow_prepare_sh; - struct GPUShader *gpencil_fx_shadow_resolve_sh; - struct GPUShader *gpencil_fx_swirl_sh; - struct GPUShader *gpencil_fx_wave_sh; - - /* textures */ - struct GPUTexture *background_depth_tx; - struct GPUTexture *background_color_tx; - - struct GPUTexture *gpencil_blank_texture; - - /* runtime pointers texture */ - struct GPUTexture *input_depth_tx; - struct GPUTexture *input_color_tx; - - /* working textures */ - struct GPUTexture *temp_color_tx_a; - struct GPUTexture *temp_depth_tx_a; - - struct GPUTexture *temp_color_tx_b; - struct GPUTexture *temp_depth_tx_b; - - struct GPUTexture *temp_color_tx_fx; - struct GPUTexture *temp_depth_tx_fx; - - /* for buffer only one batch is nedeed because the drawing is only of one stroke */ - GPUBatch *batch_buffer_stroke; - GPUBatch *batch_buffer_fill; - GPUBatch *batch_buffer_ctrlpoint; - - /* grid geometry */ - GPUBatch *batch_grid; + /* general drawing shaders */ + struct GPUShader *gpencil_fill_sh; + struct GPUShader *gpencil_stroke_sh; + struct GPUShader *gpencil_point_sh; + struct GPUShader *gpencil_edit_point_sh; + struct GPUShader *gpencil_line_sh; + struct GPUShader *gpencil_drawing_fill_sh; + struct GPUShader *gpencil_fullscreen_sh; + struct GPUShader *gpencil_simple_fullscreen_sh; + struct GPUShader *gpencil_blend_fullscreen_sh; + struct GPUShader *gpencil_background_sh; + struct GPUShader *gpencil_paper_sh; + + /* effects */ + struct GPUShader *gpencil_fx_blur_sh; + struct GPUShader *gpencil_fx_colorize_sh; + struct GPUShader *gpencil_fx_flip_sh; + struct GPUShader *gpencil_fx_glow_prepare_sh; + struct GPUShader *gpencil_fx_glow_resolve_sh; + struct GPUShader *gpencil_fx_light_sh; + struct GPUShader *gpencil_fx_pixel_sh; + struct GPUShader *gpencil_fx_rim_prepare_sh; + struct GPUShader *gpencil_fx_rim_resolve_sh; + struct GPUShader *gpencil_fx_shadow_prepare_sh; + struct GPUShader *gpencil_fx_shadow_resolve_sh; + struct GPUShader *gpencil_fx_swirl_sh; + struct GPUShader *gpencil_fx_wave_sh; + + /* textures */ + struct GPUTexture *background_depth_tx; + struct GPUTexture *background_color_tx; + + struct GPUTexture *gpencil_blank_texture; + + /* runtime pointers texture */ + struct GPUTexture *input_depth_tx; + struct GPUTexture *input_color_tx; + + /* working textures */ + struct GPUTexture *temp_color_tx_a; + struct GPUTexture *temp_depth_tx_a; + + struct GPUTexture *temp_color_tx_b; + struct GPUTexture *temp_depth_tx_b; + + struct GPUTexture *temp_color_tx_fx; + struct GPUTexture *temp_depth_tx_fx; + + /* for buffer only one batch is nedeed because the drawing is only of one stroke */ + GPUBatch *batch_buffer_stroke; + GPUBatch *batch_buffer_fill; + GPUBatch *batch_buffer_ctrlpoint; + + /* grid geometry */ + GPUBatch *batch_grid; } GPENCIL_e_data; /* Engine data */ /* GPUBatch Cache */ typedef struct GpencilBatchCacheElem { - GPUBatch *batch; - GPUVertBuf *vbo; - int vbo_len; - /* attr ids */ - GPUVertFormat format; - uint pos_id; - uint color_id; - uint thickness_id; - uint uvdata_id; - uint prev_pos_id; - - /* size for VBO alloc */ - int tot_vertex; + GPUBatch *batch; + GPUVertBuf *vbo; + int vbo_len; + /* attr ids */ + GPUVertFormat format; + uint pos_id; + uint color_id; + uint thickness_id; + uint uvdata_id; + uint prev_pos_id; + + /* size for VBO alloc */ + int tot_vertex; } GpencilBatchCacheElem; typedef struct GpencilBatchGroup { - bGPDlayer *gpl; /* reference to original layer */ - bGPDframe *gpf; /* reference to original frame */ - bGPDstroke *gps; /* reference to original stroke */ - short type; /* type of element */ - bool onion; /* the group is part of onion skin */ - int vertex_idx; /* index of vertex data */ + bGPDlayer *gpl; /* reference to original layer */ + bGPDframe *gpf; /* reference to original frame */ + bGPDstroke *gps; /* reference to original stroke */ + short type; /* type of element */ + bool onion; /* the group is part of onion skin */ + int vertex_idx; /* index of vertex data */ } GpencilBatchGroup; typedef enum GpencilBatchGroup_Type { - eGpencilBatchGroupType_Stroke = 1, - eGpencilBatchGroupType_Point = 2, - eGpencilBatchGroupType_Fill = 3, - eGpencilBatchGroupType_Edit = 4, - eGpencilBatchGroupType_Edlin = 5, + eGpencilBatchGroupType_Stroke = 1, + eGpencilBatchGroupType_Point = 2, + eGpencilBatchGroupType_Fill = 3, + eGpencilBatchGroupType_Edit = 4, + eGpencilBatchGroupType_Edlin = 5, } GpencilBatchGroup_Type; typedef struct GpencilBatchCache { - GpencilBatchCacheElem b_stroke; - GpencilBatchCacheElem b_point; - GpencilBatchCacheElem b_fill; - GpencilBatchCacheElem b_edit; - GpencilBatchCacheElem b_edlin; - - /* settings to determine if cache is invalid */ - bool is_dirty; - bool is_editmode; - int cache_frame; - - /* data with the shading groups */ - int grp_used; /* total groups in arrays */ - int grp_size; /* max size of the array */ - struct GpencilBatchGroup *grp_cache; /* array of elements */ - - int tot_layers; - struct bGPDframe *derived_array; /* runtime data created by modifiers */ + GpencilBatchCacheElem b_stroke; + GpencilBatchCacheElem b_point; + GpencilBatchCacheElem b_fill; + GpencilBatchCacheElem b_edit; + GpencilBatchCacheElem b_edlin; + + /* settings to determine if cache is invalid */ + bool is_dirty; + bool is_editmode; + int cache_frame; + + /* data with the shading groups */ + int grp_used; /* total groups in arrays */ + int grp_size; /* max size of the array */ + struct GpencilBatchGroup *grp_cache; /* array of elements */ + + int tot_layers; + struct bGPDframe *derived_array; /* runtime data created by modifiers */ } GpencilBatchCache; /* general drawing functions */ -struct DRWShadingGroup *DRW_gpencil_shgroup_stroke_create( - struct GPENCIL_e_data *e_data, struct GPENCIL_Data *vedata, struct DRWPass *pass, struct GPUShader *shader, - struct Object *ob, struct bGPdata *gpd, - struct bGPDlayer *gpl, struct bGPDstroke *gps, - struct MaterialGPencilStyle *gp_style, int id, bool onion, - const float scale, const int shading_type[2]); -void DRW_gpencil_populate_datablock( - struct GPENCIL_e_data *e_data, void *vedata, - struct Object *ob, struct tGPencilObjectCache *cache_ob); -void DRW_gpencil_populate_buffer_strokes( - struct GPENCIL_e_data *e_data, void *vedata, struct ToolSettings *ts, struct Object *ob); -void DRW_gpencil_populate_multiedit( - struct GPENCIL_e_data *e_data, void *vedata, - struct Object *ob, struct tGPencilObjectCache *cache_ob); +struct DRWShadingGroup *DRW_gpencil_shgroup_stroke_create(struct GPENCIL_e_data *e_data, + struct GPENCIL_Data *vedata, + struct DRWPass *pass, + struct GPUShader *shader, + struct Object *ob, + struct bGPdata *gpd, + struct bGPDlayer *gpl, + struct bGPDstroke *gps, + struct MaterialGPencilStyle *gp_style, + int id, + bool onion, + const float scale, + const int shading_type[2]); +void DRW_gpencil_populate_datablock(struct GPENCIL_e_data *e_data, + void *vedata, + struct Object *ob, + struct tGPencilObjectCache *cache_ob); +void DRW_gpencil_populate_buffer_strokes(struct GPENCIL_e_data *e_data, + void *vedata, + struct ToolSettings *ts, + struct Object *ob); +void DRW_gpencil_populate_multiedit(struct GPENCIL_e_data *e_data, + void *vedata, + struct Object *ob, + struct tGPencilObjectCache *cache_ob); void DRW_gpencil_triangulate_stroke_fill(struct Object *ob, struct bGPDstroke *gps); -void DRW_gpencil_populate_particles(struct GPENCIL_e_data *e_data, struct GHash *gh_objects, void *vedata); +void DRW_gpencil_populate_particles(struct GPENCIL_e_data *e_data, + struct GHash *gh_objects, + void *vedata); void DRW_gpencil_multisample_ensure(struct GPENCIL_Data *vedata, int rect_w, int rect_h); /* create geometry functions */ -void DRW_gpencil_get_point_geom(struct GpencilBatchCacheElem *be, struct bGPDstroke *gps, short thickness, const float ink[4]); -void DRW_gpencil_get_stroke_geom(struct GpencilBatchCacheElem *be, struct bGPDstroke *gps, short thickness, const float ink[4]); -void DRW_gpencil_get_fill_geom(struct GpencilBatchCacheElem *be, struct Object *ob, struct bGPDstroke *gps, const float color[4]); -void DRW_gpencil_get_edit_geom(struct GpencilBatchCacheElem *be, struct bGPDstroke *gps, float alpha, short dflag); -void DRW_gpencil_get_edlin_geom(struct GpencilBatchCacheElem *be, struct bGPDstroke *gps, float alpha, short dflag); +void DRW_gpencil_get_point_geom(struct GpencilBatchCacheElem *be, + struct bGPDstroke *gps, + short thickness, + const float ink[4]); +void DRW_gpencil_get_stroke_geom(struct GpencilBatchCacheElem *be, + struct bGPDstroke *gps, + short thickness, + const float ink[4]); +void DRW_gpencil_get_fill_geom(struct GpencilBatchCacheElem *be, + struct Object *ob, + struct bGPDstroke *gps, + const float color[4]); +void DRW_gpencil_get_edit_geom(struct GpencilBatchCacheElem *be, + struct bGPDstroke *gps, + float alpha, + short dflag); +void DRW_gpencil_get_edlin_geom(struct GpencilBatchCacheElem *be, + struct bGPDstroke *gps, + float alpha, + short dflag); struct GPUBatch *DRW_gpencil_get_buffer_stroke_geom(struct bGPdata *gpd, short thickness); struct GPUBatch *DRW_gpencil_get_buffer_fill_geom(struct bGPdata *gpd); @@ -420,19 +458,23 @@ struct GPUBatch *DRW_gpencil_get_buffer_ctrlpoint_geom(struct bGPdata *gpd); struct GPUBatch *DRW_gpencil_get_grid(Object *ob); /* object cache functions */ -struct tGPencilObjectCache *gpencil_object_cache_add( - struct tGPencilObjectCache *cache_array, struct Object *ob, - int *gp_cache_size, int *gp_cache_used); +struct tGPencilObjectCache *gpencil_object_cache_add(struct tGPencilObjectCache *cache_array, + struct Object *ob, + int *gp_cache_size, + int *gp_cache_used); bool DRW_gpencil_onion_active(struct bGPdata *gpd); /* shading groups cache functions */ -struct GpencilBatchGroup *gpencil_group_cache_add( - struct GpencilBatchGroup *cache_array, - struct bGPDlayer *gpl, struct bGPDframe *gpf, struct bGPDstroke *gps, - const short type, const bool onion, - const int vertex_idx, - int *grp_size, int *grp_used); +struct GpencilBatchGroup *gpencil_group_cache_add(struct GpencilBatchGroup *cache_array, + struct bGPDlayer *gpl, + struct bGPDframe *gpf, + struct bGPDstroke *gps, + const short type, + const bool onion, + const int vertex_idx, + int *grp_size, + int *grp_used); /* geometry batch cache functions */ struct GpencilBatchCache *gpencil_batch_cache_get(struct Object *ob, int cfra); @@ -442,12 +484,12 @@ void GPENCIL_create_fx_shaders(struct GPENCIL_e_data *e_data); void GPENCIL_delete_fx_shaders(struct GPENCIL_e_data *e_data); void GPENCIL_create_fx_passes(struct GPENCIL_PassList *psl); -void DRW_gpencil_fx_prepare( - struct GPENCIL_e_data *e_data, struct GPENCIL_Data *vedata, - struct tGPencilObjectCache *cache_ob); -void DRW_gpencil_fx_draw( - struct GPENCIL_e_data *e_data, struct GPENCIL_Data *vedata, - struct tGPencilObjectCache *cache_ob); +void DRW_gpencil_fx_prepare(struct GPENCIL_e_data *e_data, + struct GPENCIL_Data *vedata, + struct tGPencilObjectCache *cache_ob); +void DRW_gpencil_fx_draw(struct GPENCIL_e_data *e_data, + struct GPENCIL_Data *vedata, + struct tGPencilObjectCache *cache_ob); /* main functions */ void GPENCIL_engine_init(void *vedata); @@ -457,33 +499,41 @@ void GPENCIL_cache_finish(void *vedata); void GPENCIL_draw_scene(void *vedata); /* render */ -void GPENCIL_render_init(struct GPENCIL_Data *ved, struct RenderEngine *engine, struct Depsgraph *depsgraph); -void GPENCIL_render_to_image(void *vedata, struct RenderEngine *engine, struct RenderLayer *render_layer, const rcti *rect); +void GPENCIL_render_init(struct GPENCIL_Data *ved, + struct RenderEngine *engine, + struct Depsgraph *depsgraph); +void GPENCIL_render_to_image(void *vedata, + struct RenderEngine *engine, + struct RenderLayer *render_layer, + const rcti *rect); /* Use of multisample framebuffers. */ -#define MULTISAMPLE_GP_SYNC_ENABLE(lvl, fbl) { \ - if ((lvl > 0) && (fbl->multisample_fb != NULL)) { \ - DRW_stats_query_start("GP Multisample Blit"); \ - GPU_framebuffer_bind(fbl->multisample_fb); \ - GPU_framebuffer_clear_color_depth(fbl->multisample_fb, (const float[4]){0.0f}, 1.0f); \ - DRW_stats_query_end(); \ - } \ -} ((void)0) - -#define MULTISAMPLE_GP_SYNC_DISABLE(lvl, fbl, fb, txl) { \ - if ((lvl > 0) && (fbl->multisample_fb != NULL)) { \ - DRW_stats_query_start("GP Multisample Resolve"); \ - GPU_framebuffer_bind(fb); \ - DRW_multisamples_resolve(txl->multisample_depth, txl->multisample_color, true); \ - DRW_stats_query_end(); \ - } \ -} ((void)0) +#define MULTISAMPLE_GP_SYNC_ENABLE(lvl, fbl) \ + { \ + if ((lvl > 0) && (fbl->multisample_fb != NULL)) { \ + DRW_stats_query_start("GP Multisample Blit"); \ + GPU_framebuffer_bind(fbl->multisample_fb); \ + GPU_framebuffer_clear_color_depth(fbl->multisample_fb, (const float[4]){0.0f}, 1.0f); \ + DRW_stats_query_end(); \ + } \ + } \ + ((void)0) + +#define MULTISAMPLE_GP_SYNC_DISABLE(lvl, fbl, fb, txl) \ + { \ + if ((lvl > 0) && (fbl->multisample_fb != NULL)) { \ + DRW_stats_query_start("GP Multisample Resolve"); \ + GPU_framebuffer_bind(fb); \ + DRW_multisamples_resolve(txl->multisample_depth, txl->multisample_color, true); \ + DRW_stats_query_end(); \ + } \ + } \ + ((void)0) #define GPENCIL_3D_DRAWMODE(ob, gpd) \ - ((gpd) && (gpd->draw_mode == GP_DRAWMODE_3D) && \ - ((ob->dtx & OB_DRAWXRAY) == 0)) + ((gpd) && (gpd->draw_mode == GP_DRAWMODE_3D) && ((ob->dtx & OB_DRAWXRAY) == 0)) #define GPENCIL_USE_SOLID(stl) \ - ((stl) && ((stl->storage->is_render) || (stl->storage->is_mat_preview))) + ((stl) && ((stl->storage->is_render) || (stl->storage->is_mat_preview))) #endif /* __GPENCIL_ENGINE_H__ */ diff --git a/source/blender/draw/engines/gpencil/gpencil_render.c b/source/blender/draw/engines/gpencil/gpencil_render.c index 45fef77cbac..282c4ca3a77 100644 --- a/source/blender/draw/engines/gpencil/gpencil_render.c +++ b/source/blender/draw/engines/gpencil/gpencil_render.c @@ -16,7 +16,7 @@ * Copyright 2017, Blender Foundation. */ - /** \file +/** \file * \ingroup draw */ #include "BLI_rect.h" @@ -35,322 +35,345 @@ #include "gpencil_engine.h" - /* Get pixel size for render +/* Get pixel size for render * This function uses the same calculation used for viewport, because if use * camera pixelsize, the result is not correct. */ static float get_render_pixelsize(float persmat[4][4], int winx, int winy) { - float v1[3], v2[3]; - float len_px, len_sc; + float v1[3], v2[3]; + float len_px, len_sc; - v1[0] = persmat[0][0]; - v1[1] = persmat[1][0]; - v1[2] = persmat[2][0]; + v1[0] = persmat[0][0]; + v1[1] = persmat[1][0]; + v1[2] = persmat[2][0]; - v2[0] = persmat[0][1]; - v2[1] = persmat[1][1]; - v2[2] = persmat[2][1]; + v2[0] = persmat[0][1]; + v2[1] = persmat[1][1]; + v2[2] = persmat[2][1]; - len_px = 2.0f / sqrtf(min_ff(len_squared_v3(v1), len_squared_v3(v2))); - len_sc = (float)MAX2(winx, winy); + len_px = 2.0f / sqrtf(min_ff(len_squared_v3(v1), len_squared_v3(v2))); + len_sc = (float)MAX2(winx, winy); - return len_px / len_sc; + return len_px / len_sc; } /* init render data */ void GPENCIL_render_init(GPENCIL_Data *ved, RenderEngine *engine, struct Depsgraph *depsgraph) { - GPENCIL_Data *vedata = (GPENCIL_Data *)ved; - GPENCIL_StorageList *stl = vedata->stl; - GPENCIL_FramebufferList *fbl = vedata->fbl; - - Scene *scene = DEG_get_evaluated_scene(depsgraph); - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = { (int)viewport_size[0], (int)viewport_size[1] }; - - /* In render mode the default framebuffer is not generated - * because there is no viewport. So we need to manually create one - * NOTE : use 32 bit format for precision in render mode. - */ - /* create multiframe framebuffer for AA */ - if (U.gpencil_multisamples > 0) { - int rect_w = (int)viewport_size[0]; - int rect_h = (int)viewport_size[1]; - DRW_gpencil_multisample_ensure(vedata, rect_w, rect_h); - } - - vedata->render_depth_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_gpencil_type); - vedata->render_color_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_RGBA32F, - &draw_engine_gpencil_type); - GPU_framebuffer_ensure_config( - &fbl->main, { - GPU_ATTACHMENT_TEXTURE(vedata->render_depth_tx), - GPU_ATTACHMENT_TEXTURE(vedata->render_color_tx) - }); - - /* Alloc transient data. */ - if (!stl->g_data) { - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - - /* Set the pers & view matrix. */ - struct Object *camera = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); - float frame = BKE_scene_frame_get(scene); - RE_GetCameraWindow(engine->re, camera, frame, stl->storage->winmat); - RE_GetCameraModelMatrix(engine->re, camera, stl->storage->viewinv); - - invert_m4_m4(stl->storage->viewmat, stl->storage->viewinv); - mul_m4_m4m4(stl->storage->persmat, stl->storage->winmat, stl->storage->viewmat); - invert_m4_m4(stl->storage->persinv, stl->storage->persmat); - invert_m4_m4(stl->storage->wininv, stl->storage->winmat); - - DRW_viewport_matrix_override_set(stl->storage->persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(stl->storage->persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(stl->storage->winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(stl->storage->wininv, DRW_MAT_WININV); - DRW_viewport_matrix_override_set(stl->storage->viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_override_set(stl->storage->viewinv, DRW_MAT_VIEWINV); - - /* calculate pixel size for render */ - stl->storage->render_pixsize = get_render_pixelsize(stl->storage->persmat, viewport_size[0], viewport_size[1]); - /* INIT CACHE */ - GPENCIL_cache_init(vedata); + GPENCIL_Data *vedata = (GPENCIL_Data *)ved; + GPENCIL_StorageList *stl = vedata->stl; + GPENCIL_FramebufferList *fbl = vedata->fbl; + + Scene *scene = DEG_get_evaluated_scene(depsgraph); + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + /* In render mode the default framebuffer is not generated + * because there is no viewport. So we need to manually create one + * NOTE : use 32 bit format for precision in render mode. + */ + /* create multiframe framebuffer for AA */ + if (U.gpencil_multisamples > 0) { + int rect_w = (int)viewport_size[0]; + int rect_h = (int)viewport_size[1]; + DRW_gpencil_multisample_ensure(vedata, rect_w, rect_h); + } + + vedata->render_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_gpencil_type); + vedata->render_color_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA32F, &draw_engine_gpencil_type); + GPU_framebuffer_ensure_config(&fbl->main, + {GPU_ATTACHMENT_TEXTURE(vedata->render_depth_tx), + GPU_ATTACHMENT_TEXTURE(vedata->render_color_tx)}); + + /* Alloc transient data. */ + if (!stl->g_data) { + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + + /* Set the pers & view matrix. */ + struct Object *camera = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); + float frame = BKE_scene_frame_get(scene); + RE_GetCameraWindow(engine->re, camera, frame, stl->storage->winmat); + RE_GetCameraModelMatrix(engine->re, camera, stl->storage->viewinv); + + invert_m4_m4(stl->storage->viewmat, stl->storage->viewinv); + mul_m4_m4m4(stl->storage->persmat, stl->storage->winmat, stl->storage->viewmat); + invert_m4_m4(stl->storage->persinv, stl->storage->persmat); + invert_m4_m4(stl->storage->wininv, stl->storage->winmat); + + DRW_viewport_matrix_override_set(stl->storage->persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(stl->storage->persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(stl->storage->winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(stl->storage->wininv, DRW_MAT_WININV); + DRW_viewport_matrix_override_set(stl->storage->viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_override_set(stl->storage->viewinv, DRW_MAT_VIEWINV); + + /* calculate pixel size for render */ + stl->storage->render_pixsize = get_render_pixelsize( + stl->storage->persmat, viewport_size[0], viewport_size[1]); + /* INIT CACHE */ + GPENCIL_cache_init(vedata); } /* render all objects and select only grease pencil */ -static void GPENCIL_render_cache( - void *vedata, struct Object *ob, - struct RenderEngine *UNUSED(engine), struct Depsgraph *UNUSED(depsgraph)) +static void GPENCIL_render_cache(void *vedata, + struct Object *ob, + struct RenderEngine *UNUSED(engine), + struct Depsgraph *UNUSED(depsgraph)) { - if (ob && ob->type == OB_GPENCIL) { - if (DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF) { - GPENCIL_cache_populate(vedata, ob); - } - } + if (ob && ob->type == OB_GPENCIL) { + if (DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF) { + GPENCIL_cache_populate(vedata, ob); + } + } } /* TODO: Reuse Eevee code in shared module instead to duplicate here */ -static void GPENCIL_render_update_viewvecs(float invproj[4][4], float winmat[4][4], float(*r_viewvecs)[4]) +static void GPENCIL_render_update_viewvecs(float invproj[4][4], + float winmat[4][4], + float (*r_viewvecs)[4]) { - /* view vectors for the corners of the view frustum. - * Can be used to recreate the world space position easily */ - float view_vecs[4][4] = { - {-1.0f, -1.0f, -1.0f, 1.0f}, - {1.0f, -1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f, 1.0f}, - {-1.0f, -1.0f, 1.0f, 1.0f} - }; - - /* convert the view vectors to view space */ - const bool is_persp = (winmat[3][3] == 0.0f); - for (int i = 0; i < 4; i++) { - mul_project_m4_v3(invproj, view_vecs[i]); - /* normalized trick see: - * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ - if (is_persp) { - /* Divide XY by Z. */ - mul_v2_fl(view_vecs[i], 1.0f / view_vecs[i][2]); - } - } - - /** - * If ortho : view_vecs[0] is the near-bottom-left corner of the frustum and - * view_vecs[1] is the vector going from the near-bottom-left corner to - * the far-top-right corner. - * If Persp : view_vecs[0].xy and view_vecs[1].xy are respectively the bottom-left corner - * when Z = 1, and top-left corner if Z = 1. - * view_vecs[0].z the near clip distance and view_vecs[1].z is the (signed) - * distance from the near plane to the far clip plane. - */ - copy_v4_v4(r_viewvecs[0], view_vecs[0]); - - /* we need to store the differences */ - r_viewvecs[1][0] = view_vecs[1][0] - view_vecs[0][0]; - r_viewvecs[1][1] = view_vecs[2][1] - view_vecs[0][1]; - r_viewvecs[1][2] = view_vecs[3][2] - view_vecs[0][2]; + /* view vectors for the corners of the view frustum. + * Can be used to recreate the world space position easily */ + float view_vecs[4][4] = {{-1.0f, -1.0f, -1.0f, 1.0f}, + {1.0f, -1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f, 1.0f}, + {-1.0f, -1.0f, 1.0f, 1.0f}}; + + /* convert the view vectors to view space */ + const bool is_persp = (winmat[3][3] == 0.0f); + for (int i = 0; i < 4; i++) { + mul_project_m4_v3(invproj, view_vecs[i]); + /* normalized trick see: + * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ + if (is_persp) { + /* Divide XY by Z. */ + mul_v2_fl(view_vecs[i], 1.0f / view_vecs[i][2]); + } + } + + /** + * If ortho : view_vecs[0] is the near-bottom-left corner of the frustum and + * view_vecs[1] is the vector going from the near-bottom-left corner to + * the far-top-right corner. + * If Persp : view_vecs[0].xy and view_vecs[1].xy are respectively the bottom-left corner + * when Z = 1, and top-left corner if Z = 1. + * view_vecs[0].z the near clip distance and view_vecs[1].z is the (signed) + * distance from the near plane to the far clip plane. + */ + copy_v4_v4(r_viewvecs[0], view_vecs[0]); + + /* we need to store the differences */ + r_viewvecs[1][0] = view_vecs[1][0] - view_vecs[0][0]; + r_viewvecs[1][1] = view_vecs[2][1] - view_vecs[0][1]; + r_viewvecs[1][2] = view_vecs[3][2] - view_vecs[0][2]; } /* Update view_vecs */ static void GPENCIL_render_update_vecs(GPENCIL_Data *vedata) { - GPENCIL_StorageList *stl = vedata->stl; + GPENCIL_StorageList *stl = vedata->stl; - float invproj[4][4], winmat[4][4]; - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); + float invproj[4][4], winmat[4][4]; + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_get(invproj, DRW_MAT_WININV); - /* this is separated to keep function equal to Eevee for future reuse of same code */ - GPENCIL_render_update_viewvecs(invproj, winmat, stl->storage->view_vecs); + /* this is separated to keep function equal to Eevee for future reuse of same code */ + GPENCIL_render_update_viewvecs(invproj, winmat, stl->storage->view_vecs); } /* read z-depth render result */ -static void GPENCIL_render_result_z(struct RenderLayer *rl, const char *viewname, GPENCIL_Data *vedata, const rcti *rect) +static void GPENCIL_render_result_z(struct RenderLayer *rl, + const char *viewname, + GPENCIL_Data *vedata, + const rcti *rect) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ViewLayer *view_layer = draw_ctx->view_layer; - GPENCIL_StorageList *stl = vedata->stl; - - if ((view_layer->passflag & SCE_PASS_Z) != 0) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_Z, viewname); - - GPU_framebuffer_read_depth(vedata->fbl->main, rect->xmin, rect->ymin, BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), rp->rect); - - bool is_persp = DRW_viewport_is_persp_get(); - - GPENCIL_render_update_vecs(vedata); - - /* Convert ogl depth [0..1] to view Z [near..far] */ - for (int i = 0; i < BLI_rcti_size_x(rect) * BLI_rcti_size_y(rect); i++) { - if (rp->rect[i] == 1.0f) { - rp->rect[i] = 1e10f; /* Background */ - } - else { - if (is_persp) { - rp->rect[i] = rp->rect[i] * 2.0f - 1.0f; - rp->rect[i] = stl->storage->winmat[3][2] / (rp->rect[i] + stl->storage->winmat[2][2]); - } - else { - rp->rect[i] = -stl->storage->view_vecs[0][2] + rp->rect[i] * -stl->storage->view_vecs[1][2]; - } - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + ViewLayer *view_layer = draw_ctx->view_layer; + GPENCIL_StorageList *stl = vedata->stl; + + if ((view_layer->passflag & SCE_PASS_Z) != 0) { + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_Z, viewname); + + GPU_framebuffer_read_depth(vedata->fbl->main, + rect->xmin, + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + rp->rect); + + bool is_persp = DRW_viewport_is_persp_get(); + + GPENCIL_render_update_vecs(vedata); + + /* Convert ogl depth [0..1] to view Z [near..far] */ + for (int i = 0; i < BLI_rcti_size_x(rect) * BLI_rcti_size_y(rect); i++) { + if (rp->rect[i] == 1.0f) { + rp->rect[i] = 1e10f; /* Background */ + } + else { + if (is_persp) { + rp->rect[i] = rp->rect[i] * 2.0f - 1.0f; + rp->rect[i] = stl->storage->winmat[3][2] / (rp->rect[i] + stl->storage->winmat[2][2]); + } + else { + rp->rect[i] = -stl->storage->view_vecs[0][2] + + rp->rect[i] * -stl->storage->view_vecs[1][2]; + } + } + } + } } /* read combined render result */ -static void GPENCIL_render_result_combined(struct RenderLayer *rl, const char *viewname, GPENCIL_Data *vedata, const rcti *rect) +static void GPENCIL_render_result_combined(struct RenderLayer *rl, + const char *viewname, + GPENCIL_Data *vedata, + const rcti *rect) { - RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_COMBINED, viewname); - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - - GPU_framebuffer_bind(fbl->main); - GPU_framebuffer_read_color(vedata->fbl->main, rect->xmin, rect->ymin, BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), 4, 0, rp->rect); + RenderPass *rp = RE_pass_find_by_name(rl, RE_PASSNAME_COMBINED, viewname); + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + + GPU_framebuffer_bind(fbl->main); + GPU_framebuffer_read_color(vedata->fbl->main, + rect->xmin, + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 4, + 0, + rp->rect); } /* helper to blend pixels */ static void blend_pixel(float top_color[4], float bottom_color[4], float dst_color[4]) { - float alpha = top_color[3]; + float alpha = top_color[3]; - /* use blend: GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA */ - dst_color[0] = (top_color[0] * alpha) + (bottom_color[0] * (1.0f - alpha)); - dst_color[1] = (top_color[1] * alpha) + (bottom_color[1] * (1.0f - alpha)); - dst_color[2] = (top_color[2] * alpha) + (bottom_color[2] * (1.0f - alpha)); + /* use blend: GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA */ + dst_color[0] = (top_color[0] * alpha) + (bottom_color[0] * (1.0f - alpha)); + dst_color[1] = (top_color[1] * alpha) + (bottom_color[1] * (1.0f - alpha)); + dst_color[2] = (top_color[2] * alpha) + (bottom_color[2] * (1.0f - alpha)); } /* render grease pencil to image */ -void GPENCIL_render_to_image(void *vedata, RenderEngine *engine, struct RenderLayer *render_layer, const rcti *rect) +void GPENCIL_render_to_image(void *vedata, + RenderEngine *engine, + struct RenderLayer *render_layer, + const rcti *rect) { - const char *viewname = RE_GetActiveRenderView(engine->re); - const DRWContextState *draw_ctx = DRW_context_state_get(); - int imgsize = BLI_rcti_size_x(rect) * BLI_rcti_size_y(rect); - - /* save previous render data */ - RenderPass *rpass_color_src = RE_pass_find_by_name(render_layer, RE_PASSNAME_COMBINED, viewname); - RenderPass *rpass_depth_src = RE_pass_find_by_name(render_layer, RE_PASSNAME_Z, viewname); - float *src_rect_color_data = NULL; - float *src_rect_depth_data = NULL; - if ((rpass_color_src) && (rpass_depth_src) && (rpass_color_src->rect) && (rpass_depth_src->rect)) { - src_rect_color_data = MEM_dupallocN(rpass_color_src->rect); - src_rect_depth_data = MEM_dupallocN(rpass_depth_src->rect); - } - else { - /* TODO: put this message in a better place */ - printf("Warning: To render grease pencil, enable Combined and Z passes.\n"); - } - - GPENCIL_engine_init(vedata); - GPENCIL_render_init(vedata, engine, draw_ctx->depsgraph); - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - Object *camera = DEG_get_evaluated_object(draw_ctx->depsgraph, RE_GetCamera(engine->re)); - stl->storage->camera = camera; /* save current camera */ - - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - if (fbl->main) { - GPU_framebuffer_texture_attach(fbl->main, ((GPENCIL_Data *)vedata)->render_depth_tx, 0, 0); - GPU_framebuffer_texture_attach(fbl->main, ((GPENCIL_Data *)vedata)->render_color_tx, 0, 0); - /* clean first time the buffer */ - float clearcol[4] = { 0.0f, 0.0f, 0.0f, 0.0f }; - GPU_framebuffer_bind(fbl->main); - GPU_framebuffer_clear_color_depth(fbl->main, clearcol, 1.0f); - } - - /* loop all objects and draw */ - DRW_render_object_iter(vedata, engine, draw_ctx->depsgraph, GPENCIL_render_cache); - - GPENCIL_cache_finish(vedata); - GPENCIL_draw_scene(vedata); - - /* combined data */ - GPENCIL_render_result_combined(render_layer, viewname, vedata, rect); - /* z-depth data */ - GPENCIL_render_result_z(render_layer, viewname, vedata, rect); - - /* detach textures */ - if (fbl->main) { - GPU_framebuffer_texture_detach(fbl->main, ((GPENCIL_Data *)vedata)->render_depth_tx); - GPU_framebuffer_texture_detach(fbl->main, ((GPENCIL_Data *)vedata)->render_color_tx); - } - - /* merge previous render image with new GP image */ - if (src_rect_color_data) { - RenderPass *rpass_color_gp = RE_pass_find_by_name(render_layer, RE_PASSNAME_COMBINED, viewname); - RenderPass *rpass_depth_gp = RE_pass_find_by_name(render_layer, RE_PASSNAME_Z, viewname); - float *gp_rect_color_data = rpass_color_gp->rect; - float *gp_rect_depth_data = rpass_depth_gp->rect; - float *gp_pixel_rgba; - float *gp_pixel_depth; - float *src_pixel_rgba; - float *src_pixel_depth; - - for (int i = 0; i < imgsize; i++) { - gp_pixel_rgba = &gp_rect_color_data[i * 4]; - gp_pixel_depth = &gp_rect_depth_data[i]; - - src_pixel_rgba = &src_rect_color_data[i * 4]; - src_pixel_depth = &src_rect_depth_data[i]; - - /* check grease pencil render transparency */ - if (gp_pixel_rgba[3] > 0.0f) { - if (src_pixel_rgba[3] > 0.0f) { - /* check z-depth */ - if (gp_pixel_depth[0] > src_pixel_depth[0]) { - /* copy source z-depth */ - gp_pixel_depth[0] = src_pixel_depth[0]; - /* blend object on top */ - if (src_pixel_rgba[3] < 1.0f) { - blend_pixel(src_pixel_rgba, gp_pixel_rgba, gp_pixel_rgba); - } - else { - copy_v4_v4(gp_pixel_rgba, src_pixel_rgba); - } - } - else { - /* blend gp render */ - if (gp_pixel_rgba[3] < 1.0f) { - /* premult alpha factor to remove double blend effects */ - mul_v3_fl(gp_pixel_rgba, 1.0f / gp_pixel_rgba[3]); - - blend_pixel(gp_pixel_rgba, src_pixel_rgba, gp_pixel_rgba); - - gp_pixel_rgba[3] = gp_pixel_rgba[3] > src_pixel_rgba[3] ? gp_pixel_rgba[3] : src_pixel_rgba[3]; - } - } - } - } - else { - copy_v4_v4(gp_pixel_rgba, src_pixel_rgba); - gp_pixel_depth[0] = src_pixel_depth[0]; - } - } - - /* free memory */ - MEM_SAFE_FREE(src_rect_color_data); - MEM_SAFE_FREE(src_rect_depth_data); - } + const char *viewname = RE_GetActiveRenderView(engine->re); + const DRWContextState *draw_ctx = DRW_context_state_get(); + int imgsize = BLI_rcti_size_x(rect) * BLI_rcti_size_y(rect); + + /* save previous render data */ + RenderPass *rpass_color_src = RE_pass_find_by_name(render_layer, RE_PASSNAME_COMBINED, viewname); + RenderPass *rpass_depth_src = RE_pass_find_by_name(render_layer, RE_PASSNAME_Z, viewname); + float *src_rect_color_data = NULL; + float *src_rect_depth_data = NULL; + if ((rpass_color_src) && (rpass_depth_src) && (rpass_color_src->rect) && + (rpass_depth_src->rect)) { + src_rect_color_data = MEM_dupallocN(rpass_color_src->rect); + src_rect_depth_data = MEM_dupallocN(rpass_depth_src->rect); + } + else { + /* TODO: put this message in a better place */ + printf("Warning: To render grease pencil, enable Combined and Z passes.\n"); + } + + GPENCIL_engine_init(vedata); + GPENCIL_render_init(vedata, engine, draw_ctx->depsgraph); + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + Object *camera = DEG_get_evaluated_object(draw_ctx->depsgraph, RE_GetCamera(engine->re)); + stl->storage->camera = camera; /* save current camera */ + + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + if (fbl->main) { + GPU_framebuffer_texture_attach(fbl->main, ((GPENCIL_Data *)vedata)->render_depth_tx, 0, 0); + GPU_framebuffer_texture_attach(fbl->main, ((GPENCIL_Data *)vedata)->render_color_tx, 0, 0); + /* clean first time the buffer */ + float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + GPU_framebuffer_bind(fbl->main); + GPU_framebuffer_clear_color_depth(fbl->main, clearcol, 1.0f); + } + + /* loop all objects and draw */ + DRW_render_object_iter(vedata, engine, draw_ctx->depsgraph, GPENCIL_render_cache); + + GPENCIL_cache_finish(vedata); + GPENCIL_draw_scene(vedata); + + /* combined data */ + GPENCIL_render_result_combined(render_layer, viewname, vedata, rect); + /* z-depth data */ + GPENCIL_render_result_z(render_layer, viewname, vedata, rect); + + /* detach textures */ + if (fbl->main) { + GPU_framebuffer_texture_detach(fbl->main, ((GPENCIL_Data *)vedata)->render_depth_tx); + GPU_framebuffer_texture_detach(fbl->main, ((GPENCIL_Data *)vedata)->render_color_tx); + } + + /* merge previous render image with new GP image */ + if (src_rect_color_data) { + RenderPass *rpass_color_gp = RE_pass_find_by_name( + render_layer, RE_PASSNAME_COMBINED, viewname); + RenderPass *rpass_depth_gp = RE_pass_find_by_name(render_layer, RE_PASSNAME_Z, viewname); + float *gp_rect_color_data = rpass_color_gp->rect; + float *gp_rect_depth_data = rpass_depth_gp->rect; + float *gp_pixel_rgba; + float *gp_pixel_depth; + float *src_pixel_rgba; + float *src_pixel_depth; + + for (int i = 0; i < imgsize; i++) { + gp_pixel_rgba = &gp_rect_color_data[i * 4]; + gp_pixel_depth = &gp_rect_depth_data[i]; + + src_pixel_rgba = &src_rect_color_data[i * 4]; + src_pixel_depth = &src_rect_depth_data[i]; + + /* check grease pencil render transparency */ + if (gp_pixel_rgba[3] > 0.0f) { + if (src_pixel_rgba[3] > 0.0f) { + /* check z-depth */ + if (gp_pixel_depth[0] > src_pixel_depth[0]) { + /* copy source z-depth */ + gp_pixel_depth[0] = src_pixel_depth[0]; + /* blend object on top */ + if (src_pixel_rgba[3] < 1.0f) { + blend_pixel(src_pixel_rgba, gp_pixel_rgba, gp_pixel_rgba); + } + else { + copy_v4_v4(gp_pixel_rgba, src_pixel_rgba); + } + } + else { + /* blend gp render */ + if (gp_pixel_rgba[3] < 1.0f) { + /* premult alpha factor to remove double blend effects */ + mul_v3_fl(gp_pixel_rgba, 1.0f / gp_pixel_rgba[3]); + + blend_pixel(gp_pixel_rgba, src_pixel_rgba, gp_pixel_rgba); + + gp_pixel_rgba[3] = gp_pixel_rgba[3] > src_pixel_rgba[3] ? gp_pixel_rgba[3] : + src_pixel_rgba[3]; + } + } + } + } + else { + copy_v4_v4(gp_pixel_rgba, src_pixel_rgba); + gp_pixel_depth[0] = src_pixel_depth[0]; + } + } + + /* free memory */ + MEM_SAFE_FREE(src_rect_color_data); + MEM_SAFE_FREE(src_rect_depth_data); + } } diff --git a/source/blender/draw/engines/gpencil/gpencil_shader_fx.c b/source/blender/draw/engines/gpencil/gpencil_shader_fx.c index a2632c47e7e..b133d9310b0 100644 --- a/source/blender/draw/engines/gpencil/gpencil_shader_fx.c +++ b/source/blender/draw/engines/gpencil/gpencil_shader_fx.c @@ -49,28 +49,25 @@ extern char datatoc_gpencil_fx_wave_frag_glsl[]; /* verify if this fx is active */ static bool effect_is_active(bGPdata *gpd, ShaderFxData *fx, bool is_render) { - if (fx == NULL) { - return false; - } - - if (gpd == NULL) { - return false; - } - - bool is_edit = GPENCIL_ANY_EDIT_MODE(gpd); - if (((fx->mode & eShaderFxMode_Editmode) == 0) && - (is_edit) && (!is_render)) - { - return false; - } - - if (((fx->mode & eShaderFxMode_Realtime) && (is_render == false)) || - ((fx->mode & eShaderFxMode_Render) && (is_render == true))) - { - return true; - } - - return false; + if (fx == NULL) { + return false; + } + + if (gpd == NULL) { + return false; + } + + bool is_edit = GPENCIL_ANY_EDIT_MODE(gpd); + if (((fx->mode & eShaderFxMode_Editmode) == 0) && (is_edit) && (!is_render)) { + return false; + } + + if (((fx->mode & eShaderFxMode_Realtime) && (is_render == false)) || + ((fx->mode & eShaderFxMode_Render) && (is_render == true))) { + return true; + } + + return false; } /** @@ -81,60 +78,60 @@ static bool effect_is_active(bGPdata *gpd, ShaderFxData *fx, bool is_render) */ static bool get_normal_vector(bGPdata *gpd, float r_point[3], float r_normal[3]) { - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - if (gpl->flag & GP_LAYER_HIDE) { - continue; - } - - /* get frame */ - bGPDframe *gpf = gpl->actframe; - if (gpf == NULL) { - continue; - } - for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { - if (gps->totpoints >= 3) { - bGPDspoint *pt = &gps->points[0]; - BKE_gpencil_stroke_normal(gps, r_normal); - /* in some weird situations, the normal cannot be calculated, so try next stroke */ - if ((r_normal[0] != 0.0f) || (r_normal[1] != 0.0f) || (r_normal[2] != 0.0f)) { - copy_v3_v3(r_point, &pt->x); - return true; - } - } - } - } - - return false; + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + if (gpl->flag & GP_LAYER_HIDE) { + continue; + } + + /* get frame */ + bGPDframe *gpf = gpl->actframe; + if (gpf == NULL) { + continue; + } + for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { + if (gps->totpoints >= 3) { + bGPDspoint *pt = &gps->points[0]; + BKE_gpencil_stroke_normal(gps, r_normal); + /* in some weird situations, the normal cannot be calculated, so try next stroke */ + if ((r_normal[0] != 0.0f) || (r_normal[1] != 0.0f) || (r_normal[2] != 0.0f)) { + copy_v3_v3(r_point, &pt->x); + return true; + } + } + } + } + + return false; } /* helper to get near and far depth of field values */ static void GPENCIL_dof_nearfar(Object *camera, float coc, float nearfar[2]) { - if (camera == NULL) { - return; - } - - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - Camera *cam = (Camera *)camera->data; - - float fstop = cam->gpu_dof.fstop; - float focus_dist = BKE_camera_object_dof_distance(camera); - float focal_len = cam->lens; - - /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm - * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though - * because the shader reads coordinates in world space, which is in blender units. - * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ - float scale = (scene->unit.system) ? scene->unit.scale_length : 1.0f; - float scale_camera = 0.001f / scale; - /* we want radius here for the aperture number */ - float aperture_scaled = 0.5f * scale_camera * focal_len / fstop; - float focal_len_scaled = scale_camera * focal_len; - - float hyperfocal = (focal_len_scaled * focal_len_scaled) / (aperture_scaled * coc); - nearfar[0] = (hyperfocal * focus_dist) / (hyperfocal + focal_len); - nearfar[1] = (hyperfocal * focus_dist) / (hyperfocal - focal_len); + if (camera == NULL) { + return; + } + + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + Camera *cam = (Camera *)camera->data; + + float fstop = cam->gpu_dof.fstop; + float focus_dist = BKE_camera_object_dof_distance(camera); + float focal_len = cam->lens; + + /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm + * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though + * because the shader reads coordinates in world space, which is in blender units. + * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ + float scale = (scene->unit.system) ? scene->unit.scale_length : 1.0f; + float scale_camera = 0.001f / scale; + /* we want radius here for the aperture number */ + float aperture_scaled = 0.5f * scale_camera * focal_len / fstop; + float focal_len_scaled = scale_camera * focal_len; + + float hyperfocal = (focal_len_scaled * focal_len_scaled) / (aperture_scaled * coc); + nearfar[0] = (hyperfocal * focus_dist) / (hyperfocal + focal_len); + nearfar[1] = (hyperfocal * focus_dist) / (hyperfocal - focal_len); } /* **************** Shader Effects ***************************** */ @@ -143,514 +140,499 @@ static void GPENCIL_dof_nearfar(Object *camera, float coc, float nearfar[2]) * The effect is done using two shading groups because is faster to apply horizontal * and vertical in different operations. */ -static void DRW_gpencil_fx_blur( - ShaderFxData *fx, int ob_idx, GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, tGPencilObjectCache *cache) +static void DRW_gpencil_fx_blur(ShaderFxData *fx, + int ob_idx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - - BlurShaderFxData *fxd = (BlurShaderFxData *)fx; - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - DRWShadingGroup *fx_shgrp; - bGPdata *gpd = cache->gpd; - copy_v3_v3(fxd->runtime.loc, cache->loc); - - fxd->blur[0] = fxd->radius[0]; - fxd->blur[1] = fxd->radius[1]; - - /* init weight */ - if (fxd->flag & FX_BLUR_DOF_MODE) { - /* viewport and opengl render */ - Object *camera = NULL; - if (rv3d) { - if (rv3d->persp == RV3D_CAMOB) { - camera = v3d->camera; - } - } - else { - camera = stl->storage->camera; - } - - if (camera) { - float nearfar[2]; - GPENCIL_dof_nearfar(camera, fxd->coc, nearfar); - float zdepth = stl->g_data->gp_object_cache[ob_idx].zdepth; - /* the object is on focus area */ - if ((zdepth >= nearfar[0]) && (zdepth <= nearfar[1])) { - fxd->blur[0] = 0; - fxd->blur[1] = 0; - } - else { - float f; - if (zdepth < nearfar[0]) { - f = nearfar[0] - zdepth; - } - else { - f = zdepth - nearfar[1]; - } - fxd->blur[0] = f; - fxd->blur[1] = f; - CLAMP2(&fxd->blur[0], 0, fxd->radius[0]); - } - } - else { - /* if not camera view, the blur is disabled */ - fxd->blur[0] = 0; - fxd->blur[1] = 0; - } - } - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_blur_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + + BlurShaderFxData *fxd = (BlurShaderFxData *)fx; + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + DRWShadingGroup *fx_shgrp; + bGPdata *gpd = cache->gpd; + copy_v3_v3(fxd->runtime.loc, cache->loc); + + fxd->blur[0] = fxd->radius[0]; + fxd->blur[1] = fxd->radius[1]; + + /* init weight */ + if (fxd->flag & FX_BLUR_DOF_MODE) { + /* viewport and opengl render */ + Object *camera = NULL; + if (rv3d) { + if (rv3d->persp == RV3D_CAMOB) { + camera = v3d->camera; + } + } + else { + camera = stl->storage->camera; + } + + if (camera) { + float nearfar[2]; + GPENCIL_dof_nearfar(camera, fxd->coc, nearfar); + float zdepth = stl->g_data->gp_object_cache[ob_idx].zdepth; + /* the object is on focus area */ + if ((zdepth >= nearfar[0]) && (zdepth <= nearfar[1])) { + fxd->blur[0] = 0; + fxd->blur[1] = 0; + } + else { + float f; + if (zdepth < nearfar[0]) { + f = nearfar[0] - zdepth; + } + else { + f = zdepth - nearfar[1]; + } + fxd->blur[0] = f; + fxd->blur[1] = f; + CLAMP2(&fxd->blur[0], 0, fxd->radius[0]); + } + } + else { + /* if not camera view, the blur is disabled */ + fxd->blur[0] = 0; + fxd->blur[1] = 0; + } + } + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_blur_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* Colorize FX */ -static void DRW_gpencil_fx_colorize( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) +static void DRW_gpencil_fx_colorize(ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) { - if (fx == NULL) { - return; - } - ColorizeShaderFxData *fxd = (ColorizeShaderFxData *)fx; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_colorize_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_vec4(fx_shgrp, "low_color", &fxd->low_color[0], 1); - DRW_shgroup_uniform_vec4(fx_shgrp, "high_color", &fxd->high_color[0], 1); - DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); - DRW_shgroup_uniform_float(fx_shgrp, "factor", &fxd->factor, 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + ColorizeShaderFxData *fxd = (ColorizeShaderFxData *)fx; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_colorize_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_vec4(fx_shgrp, "low_color", &fxd->low_color[0], 1); + DRW_shgroup_uniform_vec4(fx_shgrp, "high_color", &fxd->high_color[0], 1); + DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); + DRW_shgroup_uniform_float(fx_shgrp, "factor", &fxd->factor, 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* Flip FX */ -static void DRW_gpencil_fx_flip( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) +static void DRW_gpencil_fx_flip(ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) { - if (fx == NULL) { - return; - } - FlipShaderFxData *fxd = (FlipShaderFxData *)fx; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - - fxd->flipmode = 100; - /* the number works as bit flag */ - if (fxd->flag & FX_FLIP_HORIZONTAL) { - fxd->flipmode += 10; - } - if (fxd->flag & FX_FLIP_VERTICAL) { - fxd->flipmode += 1; - } - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_flip_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_int(fx_shgrp, "flipmode", &fxd->flipmode, 1); - - DRW_shgroup_uniform_vec2(fx_shgrp, "wsize", DRW_viewport_size_get(), 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + FlipShaderFxData *fxd = (FlipShaderFxData *)fx; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + + fxd->flipmode = 100; + /* the number works as bit flag */ + if (fxd->flag & FX_FLIP_HORIZONTAL) { + fxd->flipmode += 10; + } + if (fxd->flag & FX_FLIP_VERTICAL) { + fxd->flipmode += 1; + } + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_flip_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_int(fx_shgrp, "flipmode", &fxd->flipmode, 1); + + DRW_shgroup_uniform_vec2(fx_shgrp, "wsize", DRW_viewport_size_get(), 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* Light FX */ -static void DRW_gpencil_fx_light( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_light(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - LightShaderFxData *fxd = (LightShaderFxData *)fx; - - if (fxd->object == NULL) { - return; - } - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_light_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - - /* location of the light using obj location as origin */ - copy_v3_v3(fxd->loc, fxd->object->obmat[3]); - - /* Calc distance to strokes plane - * The w component of location is used to transfer the distance to drawing plane - */ - float r_point[3], r_normal[3]; - float r_plane[4]; - bGPdata *gpd = cache->gpd; - if (!get_normal_vector(gpd, r_point, r_normal)) { - return; - } - mul_mat3_m4_v3(cache->obmat, r_normal); /* only rotation component */ - plane_from_point_normal_v3(r_plane, r_point, r_normal); - float dt = dist_to_plane_v3(fxd->object->obmat[3], r_plane); - fxd->loc[3] = dt; /* use last element to save it */ - - DRW_shgroup_uniform_vec4(fx_shgrp, "loc", &fxd->loc[0], 1); - - DRW_shgroup_uniform_float(fx_shgrp, "energy", &fxd->energy, 1); - DRW_shgroup_uniform_float(fx_shgrp, "ambient", &fxd->ambient, 1); - - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + LightShaderFxData *fxd = (LightShaderFxData *)fx; + + if (fxd->object == NULL) { + return; + } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_light_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + + /* location of the light using obj location as origin */ + copy_v3_v3(fxd->loc, fxd->object->obmat[3]); + + /* Calc distance to strokes plane + * The w component of location is used to transfer the distance to drawing plane + */ + float r_point[3], r_normal[3]; + float r_plane[4]; + bGPdata *gpd = cache->gpd; + if (!get_normal_vector(gpd, r_point, r_normal)) { + return; + } + mul_mat3_m4_v3(cache->obmat, r_normal); /* only rotation component */ + plane_from_point_normal_v3(r_plane, r_point, r_normal); + float dt = dist_to_plane_v3(fxd->object->obmat[3], r_plane); + fxd->loc[3] = dt; /* use last element to save it */ + + DRW_shgroup_uniform_vec4(fx_shgrp, "loc", &fxd->loc[0], 1); + + DRW_shgroup_uniform_float(fx_shgrp, "energy", &fxd->energy, 1); + DRW_shgroup_uniform_float(fx_shgrp, "ambient", &fxd->ambient, 1); + + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* Pixelate FX */ -static void DRW_gpencil_fx_pixel( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_pixel(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - PixelShaderFxData *fxd = (PixelShaderFxData *)fx; - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - bGPdata *gpd = cache->gpd; - copy_v3_v3(fxd->runtime.loc, cache->loc); - - fxd->size[2] = (int)fxd->flag & FX_PIXEL_USE_LINES; - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_pixel_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_int(fx_shgrp, "size", &fxd->size[0], 3); - DRW_shgroup_uniform_vec4(fx_shgrp, "color", &fxd->rgba[0], 1); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + PixelShaderFxData *fxd = (PixelShaderFxData *)fx; + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + bGPdata *gpd = cache->gpd; + copy_v3_v3(fxd->runtime.loc, cache->loc); + + fxd->size[2] = (int)fxd->flag & FX_PIXEL_USE_LINES; + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_pixel_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_int(fx_shgrp, "size", &fxd->size[0], 3); + DRW_shgroup_uniform_vec4(fx_shgrp, "color", &fxd->rgba[0], 1); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* Rim FX */ -static void DRW_gpencil_fx_rim( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_rim(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - RimShaderFxData *fxd = (RimShaderFxData *)fx; - bGPdata *gpd = cache->gpd; - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - copy_v3_v3(fxd->runtime.loc, cache->loc); - - /* prepare pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_rim_prepare_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - - DRW_shgroup_uniform_int(fx_shgrp, "offset", &fxd->offset[0], 2); - DRW_shgroup_uniform_vec3(fx_shgrp, "rim_color", &fxd->rim_rgb[0], 1); - DRW_shgroup_uniform_vec3(fx_shgrp, "mask_color", &fxd->mask_rgb[0], 1); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh = fx_shgrp; - - /* blur pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_blur_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh_b = fx_shgrp; - - /* resolve pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_rim_resolve_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeRim", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_vec3(fx_shgrp, "mask_color", &fxd->mask_rgb[0], 1); - DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); - - fxd->runtime.fx_sh_c = fx_shgrp; + if (fx == NULL) { + return; + } + RimShaderFxData *fxd = (RimShaderFxData *)fx; + bGPdata *gpd = cache->gpd; + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + copy_v3_v3(fxd->runtime.loc, cache->loc); + + /* prepare pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_rim_prepare_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + + DRW_shgroup_uniform_int(fx_shgrp, "offset", &fxd->offset[0], 2); + DRW_shgroup_uniform_vec3(fx_shgrp, "rim_color", &fxd->rim_rgb[0], 1); + DRW_shgroup_uniform_vec3(fx_shgrp, "mask_color", &fxd->mask_rgb[0], 1); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh = fx_shgrp; + + /* blur pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_blur_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh_b = fx_shgrp; + + /* resolve pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_rim_resolve_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeRim", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_vec3(fx_shgrp, "mask_color", &fxd->mask_rgb[0], 1); + DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); + + fxd->runtime.fx_sh_c = fx_shgrp; } /* Shadow FX */ -static void DRW_gpencil_fx_shadow( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_shadow(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - ShadowShaderFxData *fxd = (ShadowShaderFxData *)fx; - if ((!fxd->object) && (fxd->flag & FX_SHADOW_USE_OBJECT)) { - fxd->runtime.fx_sh = NULL; - fxd->runtime.fx_sh_b = NULL; - fxd->runtime.fx_sh_c = NULL; - return; - } - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - bGPdata *gpd = cache->gpd; - copy_v3_v3(fxd->runtime.loc, cache->loc); - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - /* prepare pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_shadow_prepare_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - - DRW_shgroup_uniform_int(fx_shgrp, "offset", &fxd->offset[0], 2); - DRW_shgroup_uniform_float(fx_shgrp, "scale", &fxd->scale[0], 2); - DRW_shgroup_uniform_float(fx_shgrp, "rotation", &fxd->rotation, 1); - DRW_shgroup_uniform_vec4(fx_shgrp, "shadow_color", &fxd->shadow_rgba[0], 1); - - if ((fxd->object) && (fxd->flag & FX_SHADOW_USE_OBJECT)) { - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->object->obmat[3], 1); - } - else { - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - } - - const int nowave = -1; - if (fxd->flag & FX_SHADOW_USE_WAVE) { - DRW_shgroup_uniform_int(fx_shgrp, "orientation", &fxd->orientation, 1); - } - else { - DRW_shgroup_uniform_int(fx_shgrp, "orientation", &nowave, 1); - } - DRW_shgroup_uniform_float(fx_shgrp, "amplitude", &fxd->amplitude, 1); - DRW_shgroup_uniform_float(fx_shgrp, "period", &fxd->period, 1); - DRW_shgroup_uniform_float(fx_shgrp, "phase", &fxd->phase, 1); - - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh = fx_shgrp; - - /* blur pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_blur_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh_b = fx_shgrp; - - /* resolve pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_shadow_resolve_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "shadowColor", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "shadowDepth", &e_data->temp_depth_tx_fx); - - fxd->runtime.fx_sh_c = fx_shgrp; + if (fx == NULL) { + return; + } + ShadowShaderFxData *fxd = (ShadowShaderFxData *)fx; + if ((!fxd->object) && (fxd->flag & FX_SHADOW_USE_OBJECT)) { + fxd->runtime.fx_sh = NULL; + fxd->runtime.fx_sh_b = NULL; + fxd->runtime.fx_sh_c = NULL; + return; + } + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + bGPdata *gpd = cache->gpd; + copy_v3_v3(fxd->runtime.loc, cache->loc); + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + /* prepare pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_shadow_prepare_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + + DRW_shgroup_uniform_int(fx_shgrp, "offset", &fxd->offset[0], 2); + DRW_shgroup_uniform_float(fx_shgrp, "scale", &fxd->scale[0], 2); + DRW_shgroup_uniform_float(fx_shgrp, "rotation", &fxd->rotation, 1); + DRW_shgroup_uniform_vec4(fx_shgrp, "shadow_color", &fxd->shadow_rgba[0], 1); + + if ((fxd->object) && (fxd->flag & FX_SHADOW_USE_OBJECT)) { + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->object->obmat[3], 1); + } + else { + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + } + + const int nowave = -1; + if (fxd->flag & FX_SHADOW_USE_WAVE) { + DRW_shgroup_uniform_int(fx_shgrp, "orientation", &fxd->orientation, 1); + } + else { + DRW_shgroup_uniform_int(fx_shgrp, "orientation", &nowave, 1); + } + DRW_shgroup_uniform_float(fx_shgrp, "amplitude", &fxd->amplitude, 1); + DRW_shgroup_uniform_float(fx_shgrp, "period", &fxd->period, 1); + DRW_shgroup_uniform_float(fx_shgrp, "phase", &fxd->phase, 1); + + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh = fx_shgrp; + + /* blur pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_blur_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh_b = fx_shgrp; + + /* resolve pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_shadow_resolve_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "shadowColor", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "shadowDepth", &e_data->temp_depth_tx_fx); + + fxd->runtime.fx_sh_c = fx_shgrp; } /* Glow FX */ -static void DRW_gpencil_fx_glow( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_glow(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - GlowShaderFxData *fxd = (GlowShaderFxData *)fx; - bGPdata *gpd = cache->gpd; - copy_v3_v3(fxd->runtime.loc, cache->loc); - - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - /* prepare pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_glow_prepare_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - - DRW_shgroup_uniform_vec3(fx_shgrp, "glow_color", &fxd->glow_color[0], 1); - DRW_shgroup_uniform_vec3(fx_shgrp, "select_color", &fxd->select_color[0], 1); - DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); - DRW_shgroup_uniform_float(fx_shgrp, "threshold", &fxd->threshold, 1); - - fxd->runtime.fx_sh = fx_shgrp; - - /* blur pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_blur_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); - - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - - fxd->runtime.fx_sh_b = fx_shgrp; - - /* resolve pass */ - fx_shgrp = DRW_shgroup_create( - e_data->gpencil_fx_glow_resolve_sh, - psl->fx_shader_pass_blend); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "glowColor", &e_data->temp_color_tx_fx); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "glowDepth", &e_data->temp_depth_tx_fx); - - /* reuse field */ - DRW_shgroup_uniform_int(fx_shgrp, "alpha_mode", &fxd->blur[1], 1); - - fxd->runtime.fx_sh_c = fx_shgrp; + if (fx == NULL) { + return; + } + GlowShaderFxData *fxd = (GlowShaderFxData *)fx; + bGPdata *gpd = cache->gpd; + copy_v3_v3(fxd->runtime.loc, cache->loc); + + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + /* prepare pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_glow_prepare_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + + DRW_shgroup_uniform_vec3(fx_shgrp, "glow_color", &fxd->glow_color[0], 1); + DRW_shgroup_uniform_vec3(fx_shgrp, "select_color", &fxd->select_color[0], 1); + DRW_shgroup_uniform_int(fx_shgrp, "mode", &fxd->mode, 1); + DRW_shgroup_uniform_float(fx_shgrp, "threshold", &fxd->threshold, 1); + + fxd->runtime.fx_sh = fx_shgrp; + + /* blur pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_blur_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_fx); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_int(fx_shgrp, "blur", &fxd->blur[0], 2); + + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->runtime.loc, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + + fxd->runtime.fx_sh_b = fx_shgrp; + + /* resolve pass */ + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_glow_resolve_sh, psl->fx_shader_pass_blend); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "glowColor", &e_data->temp_color_tx_fx); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "glowDepth", &e_data->temp_depth_tx_fx); + + /* reuse field */ + DRW_shgroup_uniform_int(fx_shgrp, "alpha_mode", &fxd->blur[1], 1); + + fxd->runtime.fx_sh_c = fx_shgrp; } /* Swirl FX */ -static void DRW_gpencil_fx_swirl( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache) +static void DRW_gpencil_fx_swirl(ShaderFxData *fx, + GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache) { - if (fx == NULL) { - return; - } - SwirlShaderFxData *fxd = (SwirlShaderFxData *)fx; - if (fxd->object == NULL) { - return; - } + if (fx == NULL) { + return; + } + SwirlShaderFxData *fxd = (SwirlShaderFxData *)fx; + if (fxd->object == NULL) { + return; + } - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - DRWShadingGroup *fx_shgrp; - bGPdata *gpd = cache->gpd; + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + DRWShadingGroup *fx_shgrp; + bGPdata *gpd = cache->gpd; - fxd->transparent = (int)fxd->flag & FX_SWIRL_MAKE_TRANSPARENT; + fxd->transparent = (int)fxd->flag & FX_SWIRL_MAKE_TRANSPARENT; - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_swirl_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_swirl_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_vec2(fx_shgrp, "Viewport", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->object->obmat[3], 1); + DRW_shgroup_uniform_vec3(fx_shgrp, "loc", fxd->object->obmat[3], 1); - DRW_shgroup_uniform_int(fx_shgrp, "radius", &fxd->radius, 1); - DRW_shgroup_uniform_float(fx_shgrp, "angle", &fxd->angle, 1); - DRW_shgroup_uniform_int(fx_shgrp, "transparent", &fxd->transparent, 1); + DRW_shgroup_uniform_int(fx_shgrp, "radius", &fxd->radius, 1); + DRW_shgroup_uniform_float(fx_shgrp, "angle", &fxd->angle, 1); + DRW_shgroup_uniform_int(fx_shgrp, "transparent", &fxd->transparent, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); - DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixsize", stl->storage->pixsize, 1); + DRW_shgroup_uniform_float(fx_shgrp, "pixfactor", &gpd->pixfactor, 1); - fxd->runtime.fx_sh = fx_shgrp; + fxd->runtime.fx_sh = fx_shgrp; } /* Wave Distorsion FX */ -static void DRW_gpencil_fx_wave( - ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) +static void DRW_gpencil_fx_wave(ShaderFxData *fx, GPENCIL_e_data *e_data, GPENCIL_Data *vedata) { - if (fx == NULL) { - return; - } - - WaveShaderFxData *fxd = (WaveShaderFxData *)fx; - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); - - DRWShadingGroup *fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_wave_sh, psl->fx_shader_pass); - DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); - DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); - DRW_shgroup_uniform_float(fx_shgrp, "amplitude", &fxd->amplitude, 1); - DRW_shgroup_uniform_float(fx_shgrp, "period", &fxd->period, 1); - DRW_shgroup_uniform_float(fx_shgrp, "phase", &fxd->phase, 1); - DRW_shgroup_uniform_int(fx_shgrp, "orientation", &fxd->orientation, 1); - DRW_shgroup_uniform_vec2(fx_shgrp, "wsize", DRW_viewport_size_get(), 1); - - fxd->runtime.fx_sh = fx_shgrp; + if (fx == NULL) { + return; + } + + WaveShaderFxData *fxd = (WaveShaderFxData *)fx; + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPUBatch *fxquad = DRW_cache_fullscreen_quad_get(); + + DRWShadingGroup *fx_shgrp = DRW_shgroup_create(e_data->gpencil_fx_wave_sh, psl->fx_shader_pass); + DRW_shgroup_call_add(fx_shgrp, fxquad, NULL); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeColor", &e_data->temp_color_tx_a); + DRW_shgroup_uniform_texture_ref(fx_shgrp, "strokeDepth", &e_data->temp_depth_tx_a); + DRW_shgroup_uniform_float(fx_shgrp, "amplitude", &fxd->amplitude, 1); + DRW_shgroup_uniform_float(fx_shgrp, "period", &fxd->period, 1); + DRW_shgroup_uniform_float(fx_shgrp, "phase", &fxd->phase, 1); + DRW_shgroup_uniform_int(fx_shgrp, "orientation", &fxd->orientation, 1); + DRW_shgroup_uniform_vec2(fx_shgrp, "wsize", DRW_viewport_size_get(), 1); + + fxd->runtime.fx_sh = fx_shgrp; } /* ************************************************************** */ @@ -658,484 +640,443 @@ static void DRW_gpencil_fx_wave( /* create all FX shaders */ void GPENCIL_create_fx_shaders(GPENCIL_e_data *e_data) { - /* fx shaders (all in screen space) */ - if (!e_data->gpencil_fx_blur_sh) { - e_data->gpencil_fx_blur_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_blur_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_colorize_sh) { - e_data->gpencil_fx_colorize_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_colorize_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_flip_sh) { - e_data->gpencil_fx_flip_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_flip_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_light_sh) { - e_data->gpencil_fx_light_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_light_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_pixel_sh) { - e_data->gpencil_fx_pixel_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_pixel_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_rim_prepare_sh) { - e_data->gpencil_fx_rim_prepare_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_rim_prepare_frag_glsl, NULL); - - e_data->gpencil_fx_rim_resolve_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_rim_resolve_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_shadow_prepare_sh) { - e_data->gpencil_fx_shadow_prepare_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_shadow_prepare_frag_glsl, NULL); - - e_data->gpencil_fx_shadow_resolve_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_shadow_resolve_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_glow_prepare_sh) { - e_data->gpencil_fx_glow_prepare_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_glow_prepare_frag_glsl, NULL); - - e_data->gpencil_fx_glow_resolve_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_glow_resolve_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_swirl_sh) { - e_data->gpencil_fx_swirl_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_swirl_frag_glsl, NULL); - } - if (!e_data->gpencil_fx_wave_sh) { - e_data->gpencil_fx_wave_sh = DRW_shader_create_fullscreen( - datatoc_gpencil_fx_wave_frag_glsl, NULL); - } + /* fx shaders (all in screen space) */ + if (!e_data->gpencil_fx_blur_sh) { + e_data->gpencil_fx_blur_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_blur_frag_glsl, + NULL); + } + if (!e_data->gpencil_fx_colorize_sh) { + e_data->gpencil_fx_colorize_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_colorize_frag_glsl, NULL); + } + if (!e_data->gpencil_fx_flip_sh) { + e_data->gpencil_fx_flip_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_flip_frag_glsl, + NULL); + } + if (!e_data->gpencil_fx_light_sh) { + e_data->gpencil_fx_light_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_light_frag_glsl, + NULL); + } + if (!e_data->gpencil_fx_pixel_sh) { + e_data->gpencil_fx_pixel_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_pixel_frag_glsl, + NULL); + } + if (!e_data->gpencil_fx_rim_prepare_sh) { + e_data->gpencil_fx_rim_prepare_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_rim_prepare_frag_glsl, NULL); + + e_data->gpencil_fx_rim_resolve_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_rim_resolve_frag_glsl, NULL); + } + if (!e_data->gpencil_fx_shadow_prepare_sh) { + e_data->gpencil_fx_shadow_prepare_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_shadow_prepare_frag_glsl, NULL); + + e_data->gpencil_fx_shadow_resolve_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_shadow_resolve_frag_glsl, NULL); + } + if (!e_data->gpencil_fx_glow_prepare_sh) { + e_data->gpencil_fx_glow_prepare_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_glow_prepare_frag_glsl, NULL); + + e_data->gpencil_fx_glow_resolve_sh = DRW_shader_create_fullscreen( + datatoc_gpencil_fx_glow_resolve_frag_glsl, NULL); + } + if (!e_data->gpencil_fx_swirl_sh) { + e_data->gpencil_fx_swirl_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_swirl_frag_glsl, + NULL); + } + if (!e_data->gpencil_fx_wave_sh) { + e_data->gpencil_fx_wave_sh = DRW_shader_create_fullscreen(datatoc_gpencil_fx_wave_frag_glsl, + NULL); + } } /* free FX shaders */ void GPENCIL_delete_fx_shaders(GPENCIL_e_data *e_data) { - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_blur_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_colorize_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_flip_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_light_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_pixel_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_rim_prepare_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_rim_resolve_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_shadow_prepare_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_shadow_resolve_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_glow_prepare_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_glow_resolve_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_swirl_sh); - DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_wave_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_blur_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_colorize_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_flip_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_light_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_pixel_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_rim_prepare_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_rim_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_shadow_prepare_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_shadow_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_glow_prepare_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_glow_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_swirl_sh); + DRW_SHADER_FREE_SAFE(e_data->gpencil_fx_wave_sh); } /* create all passes used by FX */ void GPENCIL_create_fx_passes(GPENCIL_PassList *psl) { - psl->fx_shader_pass = DRW_pass_create( - "GPencil Shader FX Pass", - DRW_STATE_WRITE_COLOR | - DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); - psl->fx_shader_pass_blend = DRW_pass_create( - "GPencil Shader FX Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | - DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); + psl->fx_shader_pass = DRW_pass_create("GPencil Shader FX Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS); + psl->fx_shader_pass_blend = DRW_pass_create("GPencil Shader FX Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS); } - /* prepare fx shading groups */ -void DRW_gpencil_fx_prepare( - GPENCIL_e_data *e_data, GPENCIL_Data *vedata, - tGPencilObjectCache *cache_ob) +void DRW_gpencil_fx_prepare(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache_ob) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - const bool wiremode = (bool)(cache_ob->shading_type[0] == OB_WIRE); - - int ob_idx = cache_ob->idx; - - if ((wiremode) || (cache_ob->shader_fx.first == NULL)) { - return; - } - /* loop FX */ - for (ShaderFxData *fx = cache_ob->shader_fx.first; fx; fx = fx->next) { - if (effect_is_active(cache_ob->gpd, fx, stl->storage->is_render)) { - switch (fx->type) { - case eShaderFxType_Blur: - DRW_gpencil_fx_blur(fx, ob_idx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Colorize: - DRW_gpencil_fx_colorize(fx, e_data, vedata); - break; - case eShaderFxType_Flip: - DRW_gpencil_fx_flip(fx, e_data, vedata); - break; - case eShaderFxType_Light: - DRW_gpencil_fx_light(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Pixel: - DRW_gpencil_fx_pixel(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Rim: - DRW_gpencil_fx_rim(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Shadow: - DRW_gpencil_fx_shadow(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Glow: - DRW_gpencil_fx_glow(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Swirl: - DRW_gpencil_fx_swirl(fx, e_data, vedata, cache_ob); - break; - case eShaderFxType_Wave: - DRW_gpencil_fx_wave(fx, e_data, vedata); - break; - default: - break; - } - } - } - + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + const bool wiremode = (bool)(cache_ob->shading_type[0] == OB_WIRE); + + int ob_idx = cache_ob->idx; + + if ((wiremode) || (cache_ob->shader_fx.first == NULL)) { + return; + } + /* loop FX */ + for (ShaderFxData *fx = cache_ob->shader_fx.first; fx; fx = fx->next) { + if (effect_is_active(cache_ob->gpd, fx, stl->storage->is_render)) { + switch (fx->type) { + case eShaderFxType_Blur: + DRW_gpencil_fx_blur(fx, ob_idx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Colorize: + DRW_gpencil_fx_colorize(fx, e_data, vedata); + break; + case eShaderFxType_Flip: + DRW_gpencil_fx_flip(fx, e_data, vedata); + break; + case eShaderFxType_Light: + DRW_gpencil_fx_light(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Pixel: + DRW_gpencil_fx_pixel(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Rim: + DRW_gpencil_fx_rim(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Shadow: + DRW_gpencil_fx_shadow(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Glow: + DRW_gpencil_fx_glow(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Swirl: + DRW_gpencil_fx_swirl(fx, e_data, vedata, cache_ob); + break; + case eShaderFxType_Wave: + DRW_gpencil_fx_wave(fx, e_data, vedata); + break; + default: + break; + } + } + } } /* helper to draw one FX pass and do ping-pong copy */ -static void gpencil_draw_fx_pass( - GPENCIL_e_data *e_data, - GPENCIL_PassList *psl, - GPENCIL_FramebufferList *fbl, - DRWShadingGroup *shgrp, bool blend) +static void gpencil_draw_fx_pass(GPENCIL_e_data *e_data, + GPENCIL_PassList *psl, + GPENCIL_FramebufferList *fbl, + DRWShadingGroup *shgrp, + bool blend) { - if (shgrp == NULL) { - return; - } - - const float clearcol[4] = {0.0f}; - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - - /* draw effect pass in temp texture (B) using as source the previous image - * existing in the other temp texture (A) */ - if (!blend) { - DRW_draw_pass_subset(psl->fx_shader_pass, shgrp, shgrp); - } - else { - DRW_draw_pass_subset(psl->fx_shader_pass_blend, shgrp, shgrp); - } - - /* copy pass from b to a for ping-pong frame buffers */ - e_data->input_depth_tx = e_data->temp_depth_tx_b; - e_data->input_color_tx = e_data->temp_color_tx_b; - - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); + if (shgrp == NULL) { + return; + } + + const float clearcol[4] = {0.0f}; + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + + /* draw effect pass in temp texture (B) using as source the previous image + * existing in the other temp texture (A) */ + if (!blend) { + DRW_draw_pass_subset(psl->fx_shader_pass, shgrp, shgrp); + } + else { + DRW_draw_pass_subset(psl->fx_shader_pass_blend, shgrp, shgrp); + } + + /* copy pass from b to a for ping-pong frame buffers */ + e_data->input_depth_tx = e_data->temp_depth_tx_b; + e_data->input_color_tx = e_data->temp_color_tx_b; + + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); } /* helper to manage gaussian blur passes */ -static void draw_gpencil_blur_passes( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, - BlurShaderFxData *fxd) +static void draw_gpencil_blur_passes(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + BlurShaderFxData *fxd) { - if (fxd->runtime.fx_sh == NULL) { - return; - } - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - DRWShadingGroup *shgrp = fxd->runtime.fx_sh; - int samples = fxd->samples; - - float bx = fxd->blur[0]; - float by = fxd->blur[1]; - - /* the blur is done in two steps (Hor/Ver) because is faster and - * gets better result - * - * samples could be 0 and disable de blur effects because sometimes - * is easier animate the number of samples only, instead to animate the - * hide/unhide and the number of samples to make some effects. - */ - for (int b = 0; b < samples; b++) { - /* horizontal */ - if (bx > 0) { - fxd->blur[0] = bx; - fxd->blur[1] = 0; - gpencil_draw_fx_pass(e_data, psl, fbl, shgrp, true); - } - /* vertical */ - if (by > 0) { - fxd->blur[0] = 0; - fxd->blur[1] = by; - gpencil_draw_fx_pass(e_data, psl, fbl, shgrp, true); - } - } + if (fxd->runtime.fx_sh == NULL) { + return; + } + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + DRWShadingGroup *shgrp = fxd->runtime.fx_sh; + int samples = fxd->samples; + + float bx = fxd->blur[0]; + float by = fxd->blur[1]; + + /* the blur is done in two steps (Hor/Ver) because is faster and + * gets better result + * + * samples could be 0 and disable de blur effects because sometimes + * is easier animate the number of samples only, instead to animate the + * hide/unhide and the number of samples to make some effects. + */ + for (int b = 0; b < samples; b++) { + /* horizontal */ + if (bx > 0) { + fxd->blur[0] = bx; + fxd->blur[1] = 0; + gpencil_draw_fx_pass(e_data, psl, fbl, shgrp, true); + } + /* vertical */ + if (by > 0) { + fxd->blur[0] = 0; + fxd->blur[1] = by; + gpencil_draw_fx_pass(e_data, psl, fbl, shgrp, true); + } + } } /* blur intermediate pass */ -static void draw_gpencil_midpass_blur( - GPENCIL_Data *vedata, - ShaderFxData_Runtime *runtime) +static void draw_gpencil_midpass_blur(GPENCIL_Data *vedata, ShaderFxData_Runtime *runtime) { - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - const float clearcol[4] = {0.0f}; - - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - runtime->fx_sh_b, runtime->fx_sh_b); - - /* copy pass from b for ping-pong frame buffers */ - GPU_framebuffer_bind(fbl->temp_fb_fx); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + const float clearcol[4] = {0.0f}; + + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, runtime->fx_sh_b, runtime->fx_sh_b); + + /* copy pass from b for ping-pong frame buffers */ + GPU_framebuffer_bind(fbl->temp_fb_fx); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); } /* do blur of mid passes */ -static void draw_gpencil_do_blur( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, - ShaderFxData_Runtime *runtime, - int samples, int bx, int by, int blur[2]) +static void draw_gpencil_do_blur(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + ShaderFxData_Runtime *runtime, + int samples, + int bx, + int by, + int blur[2]) { - e_data->input_depth_tx = e_data->temp_depth_tx_b; - e_data->input_color_tx = e_data->temp_color_tx_b; - - if ((samples > 0) && ((bx > 0) || (by > 0))) { - for (int x = 0; x < samples; x++) { - - /* horizontal */ - blur[0] = bx; - blur[1] = 0; - draw_gpencil_midpass_blur(vedata, runtime); - - /* Vertical */ - blur[0] = 0; - blur[1] = by; - draw_gpencil_midpass_blur(vedata, runtime); - - blur[0] = bx; - blur[1] = by; - } - } + e_data->input_depth_tx = e_data->temp_depth_tx_b; + e_data->input_color_tx = e_data->temp_color_tx_b; + + if ((samples > 0) && ((bx > 0) || (by > 0))) { + for (int x = 0; x < samples; x++) { + + /* horizontal */ + blur[0] = bx; + blur[1] = 0; + draw_gpencil_midpass_blur(vedata, runtime); + + /* Vertical */ + blur[0] = 0; + blur[1] = by; + draw_gpencil_midpass_blur(vedata, runtime); + + blur[0] = bx; + blur[1] = by; + } + } } /* helper to draw RIM passes */ -static void draw_gpencil_rim_passes( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, - RimShaderFxData *fxd) +static void draw_gpencil_rim_passes(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + RimShaderFxData *fxd) { - if (fxd->runtime.fx_sh_b == NULL) { - return; - } - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - - const float clearcol[4] = {0.0f}; - - /* prepare mask */ - GPU_framebuffer_bind(fbl->temp_fb_fx); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh, fxd->runtime.fx_sh); - - /* blur rim */ - draw_gpencil_do_blur( - e_data, vedata, &fxd->runtime, - fxd->samples, - fxd->blur[0], fxd->blur[1], - &fxd->blur[0]); - - /* resolve */ - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); - - /* copy pass from b to a for ping-pong frame buffers */ - e_data->input_depth_tx = e_data->temp_depth_tx_b; - e_data->input_color_tx = e_data->temp_color_tx_b; - - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); + if (fxd->runtime.fx_sh_b == NULL) { + return; + } + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + + const float clearcol[4] = {0.0f}; + + /* prepare mask */ + GPU_framebuffer_bind(fbl->temp_fb_fx); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh, fxd->runtime.fx_sh); + + /* blur rim */ + draw_gpencil_do_blur( + e_data, vedata, &fxd->runtime, fxd->samples, fxd->blur[0], fxd->blur[1], &fxd->blur[0]); + + /* resolve */ + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); + + /* copy pass from b to a for ping-pong frame buffers */ + e_data->input_depth_tx = e_data->temp_depth_tx_b; + e_data->input_color_tx = e_data->temp_color_tx_b; + + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); } /* helper to draw SHADOW passes */ -static void draw_gpencil_shadow_passes( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, - ShadowShaderFxData *fxd) +static void draw_gpencil_shadow_passes(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + ShadowShaderFxData *fxd) { - if (fxd->runtime.fx_sh_b == NULL) { - return; - } - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - const float clearcol[4] = {0.0f}; - - /* prepare shadow */ - GPU_framebuffer_bind(fbl->temp_fb_fx); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh, fxd->runtime.fx_sh); - - /* blur shadow */ - draw_gpencil_do_blur( - e_data, vedata, &fxd->runtime, - fxd->samples, - fxd->blur[0], fxd->blur[1], - &fxd->blur[0]); - - /* resolve */ - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); - - /* copy pass from b to a for ping-pong frame buffers */ - e_data->input_depth_tx = e_data->temp_depth_tx_b; - e_data->input_color_tx = e_data->temp_color_tx_b; - - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); + if (fxd->runtime.fx_sh_b == NULL) { + return; + } + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + const float clearcol[4] = {0.0f}; + + /* prepare shadow */ + GPU_framebuffer_bind(fbl->temp_fb_fx); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh, fxd->runtime.fx_sh); + + /* blur shadow */ + draw_gpencil_do_blur( + e_data, vedata, &fxd->runtime, fxd->samples, fxd->blur[0], fxd->blur[1], &fxd->blur[0]); + + /* resolve */ + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); + + /* copy pass from b to a for ping-pong frame buffers */ + e_data->input_depth_tx = e_data->temp_depth_tx_b; + e_data->input_color_tx = e_data->temp_color_tx_b; + + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); } /* helper to draw GLOW passes */ -static void draw_gpencil_glow_passes( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, - GlowShaderFxData *fxd) +static void draw_gpencil_glow_passes(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + GlowShaderFxData *fxd) { - if (fxd->runtime.fx_sh_b == NULL) { - return; - } - - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - - const float clearcol[4] = {0.0f}; - - /* prepare glow */ - GPU_framebuffer_bind(fbl->temp_fb_fx); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh, fxd->runtime.fx_sh); - - /* blur glow */ - draw_gpencil_do_blur( - e_data, vedata, &fxd->runtime, - fxd->samples, - fxd->blur[0], fxd->blur[0], - &fxd->blur[0]); - - /* resolve */ - GPU_framebuffer_bind(fbl->temp_fb_b); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); - - /* reuses blur field to keep alpha mode */ - fxd->blur[1] = (fxd->flag & FX_GLOW_USE_ALPHA) ? 1 : 0; - - DRW_draw_pass_subset( - psl->fx_shader_pass_blend, - fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); - - /* copy pass from b to a for ping-pong frame buffers */ - e_data->input_depth_tx = e_data->temp_depth_tx_b; - e_data->input_color_tx = e_data->temp_color_tx_b; - - GPU_framebuffer_bind(fbl->temp_fb_a); - GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); - DRW_draw_pass(psl->mix_pass_noblend); + if (fxd->runtime.fx_sh_b == NULL) { + return; + } + + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + + const float clearcol[4] = {0.0f}; + + /* prepare glow */ + GPU_framebuffer_bind(fbl->temp_fb_fx); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_fx, clearcol, 1.0f); + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh, fxd->runtime.fx_sh); + + /* blur glow */ + draw_gpencil_do_blur( + e_data, vedata, &fxd->runtime, fxd->samples, fxd->blur[0], fxd->blur[0], &fxd->blur[0]); + + /* resolve */ + GPU_framebuffer_bind(fbl->temp_fb_b); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_b, clearcol, 1.0f); + + /* reuses blur field to keep alpha mode */ + fxd->blur[1] = (fxd->flag & FX_GLOW_USE_ALPHA) ? 1 : 0; + + DRW_draw_pass_subset(psl->fx_shader_pass_blend, fxd->runtime.fx_sh_c, fxd->runtime.fx_sh_c); + + /* copy pass from b to a for ping-pong frame buffers */ + e_data->input_depth_tx = e_data->temp_depth_tx_b; + e_data->input_color_tx = e_data->temp_color_tx_b; + + GPU_framebuffer_bind(fbl->temp_fb_a); + GPU_framebuffer_clear_color_depth(fbl->temp_fb_a, clearcol, 1.0f); + DRW_draw_pass(psl->mix_pass_noblend); } /* apply all object fx effects */ -void DRW_gpencil_fx_draw( - GPENCIL_e_data *e_data, - GPENCIL_Data *vedata, tGPencilObjectCache *cache_ob) +void DRW_gpencil_fx_draw(GPENCIL_e_data *e_data, + GPENCIL_Data *vedata, + tGPencilObjectCache *cache_ob) { - GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; - GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; - GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; - - /* loop FX modifiers */ - for (ShaderFxData *fx = cache_ob->shader_fx.first; fx; fx = fx->next) { - if (effect_is_active(cache_ob->gpd, fx, stl->storage->is_render)) { - switch (fx->type) { - - case eShaderFxType_Blur: - { - BlurShaderFxData *fxd = (BlurShaderFxData *)fx; - draw_gpencil_blur_passes(e_data, vedata, fxd); - break; - } - case eShaderFxType_Colorize: - { - ColorizeShaderFxData *fxd = (ColorizeShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - case eShaderFxType_Flip: - { - FlipShaderFxData *fxd = (FlipShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - case eShaderFxType_Light: - { - LightShaderFxData *fxd = (LightShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - case eShaderFxType_Pixel: - { - PixelShaderFxData *fxd = (PixelShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - case eShaderFxType_Rim: - { - RimShaderFxData *fxd = (RimShaderFxData *)fx; - draw_gpencil_rim_passes(e_data, vedata, fxd); - break; - } - case eShaderFxType_Shadow: - { - ShadowShaderFxData *fxd = (ShadowShaderFxData *)fx; - draw_gpencil_shadow_passes(e_data, vedata, fxd); - break; - } - case eShaderFxType_Glow: - { - GlowShaderFxData *fxd = (GlowShaderFxData *)fx; - draw_gpencil_glow_passes(e_data, vedata, fxd); - break; - } - case eShaderFxType_Swirl: - { - SwirlShaderFxData *fxd = (SwirlShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - case eShaderFxType_Wave: - { - WaveShaderFxData *fxd = (WaveShaderFxData *)fx; - gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); - break; - } - default: - break; - } - } - } + GPENCIL_StorageList *stl = ((GPENCIL_Data *)vedata)->stl; + GPENCIL_PassList *psl = ((GPENCIL_Data *)vedata)->psl; + GPENCIL_FramebufferList *fbl = ((GPENCIL_Data *)vedata)->fbl; + + /* loop FX modifiers */ + for (ShaderFxData *fx = cache_ob->shader_fx.first; fx; fx = fx->next) { + if (effect_is_active(cache_ob->gpd, fx, stl->storage->is_render)) { + switch (fx->type) { + + case eShaderFxType_Blur: { + BlurShaderFxData *fxd = (BlurShaderFxData *)fx; + draw_gpencil_blur_passes(e_data, vedata, fxd); + break; + } + case eShaderFxType_Colorize: { + ColorizeShaderFxData *fxd = (ColorizeShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + case eShaderFxType_Flip: { + FlipShaderFxData *fxd = (FlipShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + case eShaderFxType_Light: { + LightShaderFxData *fxd = (LightShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + case eShaderFxType_Pixel: { + PixelShaderFxData *fxd = (PixelShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + case eShaderFxType_Rim: { + RimShaderFxData *fxd = (RimShaderFxData *)fx; + draw_gpencil_rim_passes(e_data, vedata, fxd); + break; + } + case eShaderFxType_Shadow: { + ShadowShaderFxData *fxd = (ShadowShaderFxData *)fx; + draw_gpencil_shadow_passes(e_data, vedata, fxd); + break; + } + case eShaderFxType_Glow: { + GlowShaderFxData *fxd = (GlowShaderFxData *)fx; + draw_gpencil_glow_passes(e_data, vedata, fxd); + break; + } + case eShaderFxType_Swirl: { + SwirlShaderFxData *fxd = (SwirlShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + case eShaderFxType_Wave: { + WaveShaderFxData *fxd = (WaveShaderFxData *)fx; + gpencil_draw_fx_pass(e_data, psl, fbl, fxd->runtime.fx_sh, false); + break; + } + default: + break; + } + } + } } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_blur_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_blur_frag.glsl index cd348a477a1..0f64f54c67b 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_blur_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_blur_frag.glsl @@ -8,7 +8,7 @@ uniform vec2 Viewport; uniform int blur[2]; uniform vec3 loc; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; float defaultpixsize = pixsize * (1000.0 / pixfactor); @@ -18,66 +18,68 @@ out vec4 FragColor; float get_zdepth(ivec2 poxy) { - /* if outside viewport set as infinite depth */ - if ((poxy.x < 0) || (poxy.x > Viewport.x)) { - return 1.0f; - } - if ((poxy.y < 0) || (poxy.y > Viewport.y)) { - return 1.0f; - } - - float zdepth = texelFetch(strokeDepth, poxy, 0).r; - return zdepth; + /* if outside viewport set as infinite depth */ + if ((poxy.x < 0) || (poxy.x > Viewport.x)) { + return 1.0f; + } + if ((poxy.y < 0) || (poxy.y > Viewport.y)) { + return 1.0f; + } + + float zdepth = texelFetch(strokeDepth, poxy, 0).r; + return zdepth; } void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); - - vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - - float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : (noffset[0] / defaultpixsize); - float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : (noffset[1] / defaultpixsize); - - /* round to avoid shift when add more samples */ - dx = floor(dx) + 1.0; - dy = floor(dy) + 1.0; - - /* apply blurring, using a 9-tap filter with predefined gaussian weights */ - /* depth (get the value of the surrounding pixels) */ - float outdepth = get_zdepth(ivec2(uv.x, uv.y)); - for (int x = -1; x < 2; x++) { - for (int y = -1; y < 2; y++) { - float depth = get_zdepth(ivec2(uv.x + x * dx, uv.y + y * dy)); - if (depth < outdepth) { - outdepth = depth; - break; - } - } - } - gl_FragDepth = outdepth; - - /* color */ - vec4 outcolor = vec4(0.0); - outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y + 1.0 * dy), 0) * 0.0947416; - outcolor += texelFetch(strokeColor, ivec2(uv.x - 0.0 * dx, uv.y + 1.0 * dy), 0) * 0.118318; - outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y + 1.0 * dy), 0) * 0.0947416; - outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y + 0.0 * dy), 0) * 0.118318; - - outcolor += texelFetch(strokeColor, ivec2(uv.x, uv.y), 0) * 0.147761; - - outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y + 0.0 * dy), 0) * 0.118318; - outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y - 1.0 * dy), 0) * 0.0947416; - outcolor += texelFetch(strokeColor, ivec2(uv.x + 0.0 * dx, uv.y - 1.0 * dy), 0) * 0.118318; - outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y - 1.0 * dy), 0) * 0.0947416; - - FragColor = clamp(outcolor, 0, 1.0); - - /* discar extreme values */ - if (outcolor.a < 0.02f) { - discard; - } - if ((outdepth <= 0.000001) || (outdepth >= 0.999999)){ - discard; - } + ivec2 uv = ivec2(gl_FragCoord.xy); + + vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + + float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : + (noffset[0] / defaultpixsize); + float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : + (noffset[1] / defaultpixsize); + + /* round to avoid shift when add more samples */ + dx = floor(dx) + 1.0; + dy = floor(dy) + 1.0; + + /* apply blurring, using a 9-tap filter with predefined gaussian weights */ + /* depth (get the value of the surrounding pixels) */ + float outdepth = get_zdepth(ivec2(uv.x, uv.y)); + for (int x = -1; x < 2; x++) { + for (int y = -1; y < 2; y++) { + float depth = get_zdepth(ivec2(uv.x + x * dx, uv.y + y * dy)); + if (depth < outdepth) { + outdepth = depth; + break; + } + } + } + gl_FragDepth = outdepth; + + /* color */ + vec4 outcolor = vec4(0.0); + outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y + 1.0 * dy), 0) * 0.0947416; + outcolor += texelFetch(strokeColor, ivec2(uv.x - 0.0 * dx, uv.y + 1.0 * dy), 0) * 0.118318; + outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y + 1.0 * dy), 0) * 0.0947416; + outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y + 0.0 * dy), 0) * 0.118318; + + outcolor += texelFetch(strokeColor, ivec2(uv.x, uv.y), 0) * 0.147761; + + outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y + 0.0 * dy), 0) * 0.118318; + outcolor += texelFetch(strokeColor, ivec2(uv.x - 1.0 * dx, uv.y - 1.0 * dy), 0) * 0.0947416; + outcolor += texelFetch(strokeColor, ivec2(uv.x + 0.0 * dx, uv.y - 1.0 * dy), 0) * 0.118318; + outcolor += texelFetch(strokeColor, ivec2(uv.x + 1.0 * dx, uv.y - 1.0 * dy), 0) * 0.0947416; + + FragColor = clamp(outcolor, 0, 1.0); + + /* discar extreme values */ + if (outcolor.a < 0.02f) { + discard; + } + if ((outdepth <= 0.000001) || (outdepth >= 0.999999)) { + discard; + } } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_colorize_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_colorize_frag.glsl index fb44b18cc86..52f42d30d06 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_colorize_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_colorize_frag.glsl @@ -8,79 +8,75 @@ uniform float factor; out vec4 FragColor; -#define MODE_GRAYSCALE 0 -#define MODE_SEPIA 1 -#define MODE_DUOTONE 2 -#define MODE_CUSTOM 3 +#define MODE_GRAYSCALE 0 +#define MODE_SEPIA 1 +#define MODE_DUOTONE 2 +#define MODE_CUSTOM 3 #define MODE_TRANSPARENT 4 float get_luminance(vec4 color) { - float lum = (color.r * 0.2126) + (color.g * 0.7152) + (color.b * 0.723); - return lum; + float lum = (color.r * 0.2126) + (color.g * 0.7152) + (color.b * 0.723); + return lum; } void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); + ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; - vec4 src_pixel= texelFetch(strokeColor, uv.xy, 0); - float luminance = get_luminance(src_pixel); - vec4 outcolor; + float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; + vec4 src_pixel = texelFetch(strokeColor, uv.xy, 0); + float luminance = get_luminance(src_pixel); + vec4 outcolor; - /* is transparent */ - if (src_pixel.a == 0.0f) { - discard; - } + /* is transparent */ + if (src_pixel.a == 0.0f) { + discard; + } - switch(mode) { - case MODE_GRAYSCALE: - { - outcolor = vec4(luminance, luminance, luminance, src_pixel.a); - break; - } - case MODE_SEPIA: - { - float Red = (src_pixel.r * 0.393) + (src_pixel.g * 0.769) + (src_pixel.b * 0.189); - float Green = (src_pixel.r * 0.349) + (src_pixel.g * 0.686) + (src_pixel.b * 0.168); - float Blue = (src_pixel.r * 0.272) + (src_pixel.g * 0.534) + (src_pixel.b * 0.131); - outcolor = vec4(Red, Green, Blue, src_pixel.a); - break; - } - case MODE_DUOTONE: - { - if (luminance <= factor) { - outcolor = low_color; - } - else { - outcolor = high_color; - } - break; - } - case MODE_CUSTOM: - { - /* if below umbral, force custom color */ - if (luminance <= factor) { - outcolor = low_color; - } - else { - outcolor = vec4(luminance * low_color.r, luminance * low_color.b, luminance * low_color.b, src_pixel.a); - } - break; - } - case MODE_TRANSPARENT: - { - outcolor = vec4(src_pixel.rgb, src_pixel.a * factor); - break; - } - default: - { - outcolor = src_pixel; - } + switch (mode) { + case MODE_GRAYSCALE: { + outcolor = vec4(luminance, luminance, luminance, src_pixel.a); + break; + } + case MODE_SEPIA: { + float Red = (src_pixel.r * 0.393) + (src_pixel.g * 0.769) + (src_pixel.b * 0.189); + float Green = (src_pixel.r * 0.349) + (src_pixel.g * 0.686) + (src_pixel.b * 0.168); + float Blue = (src_pixel.r * 0.272) + (src_pixel.g * 0.534) + (src_pixel.b * 0.131); + outcolor = vec4(Red, Green, Blue, src_pixel.a); + break; + } + case MODE_DUOTONE: { + if (luminance <= factor) { + outcolor = low_color; + } + else { + outcolor = high_color; + } + break; + } + case MODE_CUSTOM: { + /* if below umbral, force custom color */ + if (luminance <= factor) { + outcolor = low_color; + } + else { + outcolor = vec4(luminance * low_color.r, + luminance * low_color.b, + luminance * low_color.b, + src_pixel.a); + } + break; + } + case MODE_TRANSPARENT: { + outcolor = vec4(src_pixel.rgb, src_pixel.a * factor); + break; + } + default: { + outcolor = src_pixel; + } + } - } - - gl_FragDepth = stroke_depth; - FragColor = outcolor; + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_flip_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_flip_frag.glsl index 43589461cd1..2cd77007b36 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_flip_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_flip_frag.glsl @@ -7,31 +7,31 @@ uniform int flipmode; void main() { - vec2 mode = vec2(0,0); - /* horz. */ - if (flipmode >= 110) { - mode[0] = 1; - } - /* vert. */ - if ((flipmode == 101) || (flipmode == 111)) { - mode[1] = 1; - } + vec2 mode = vec2(0, 0); + /* horz. */ + if (flipmode >= 110) { + mode[0] = 1; + } + /* vert. */ + if ((flipmode == 101) || (flipmode == 111)) { + mode[1] = 1; + } - vec2 uv = vec2(gl_FragCoord.xy); - float stroke_depth; - vec4 outcolor; + vec2 uv = vec2(gl_FragCoord.xy); + float stroke_depth; + vec4 outcolor; - if (mode[0] > 0) { - uv.x = wsize.x - uv.x; - } - if (mode[1] > 0) { - uv.y = wsize.y - uv.y; - } + if (mode[0] > 0) { + uv.x = wsize.x - uv.x; + } + if (mode[1] > 0) { + uv.y = wsize.y - uv.y; + } - ivec2 iuv = ivec2(uv.x, uv.y); - stroke_depth = texelFetch(strokeDepth, iuv, 0).r; - outcolor = texelFetch(strokeColor, iuv, 0); + ivec2 iuv = ivec2(uv.x, uv.y); + stroke_depth = texelFetch(strokeDepth, iuv, 0).r; + outcolor = texelFetch(strokeColor, iuv, 0); - gl_FragDepth = stroke_depth; - FragColor = outcolor; + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_prepare_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_prepare_frag.glsl index 9cdcad3e486..676b9b05db9 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_prepare_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_prepare_frag.glsl @@ -14,55 +14,55 @@ uniform int mode; out vec4 FragColor; -#define MODE_LUMINANCE 0 -#define MODE_COLOR 1 +#define MODE_LUMINANCE 0 +#define MODE_COLOR 1 /* calc luminance */ -float luma( vec3 color ) { - /* the color is linear, so do not apply tonemapping */ - return (color.r + color.g + color.b) / 3.0; +float luma(vec3 color) +{ + /* the color is linear, so do not apply tonemapping */ + return (color.r + color.g + color.b) / 3.0; } bool check_color(vec3 color_a, vec3 color_b) { - /* need round the number to avoid precision errors */ - if ((floor(color_a.r * 100) == floor(color_b.r * 100)) && - (floor(color_a.g * 100) == floor(color_b.g * 100)) && - (floor(color_a.b * 100) == floor(color_b.b * 100))) - { - return true; - } + /* need round the number to avoid precision errors */ + if ((floor(color_a.r * 100) == floor(color_b.r * 100)) && + (floor(color_a.g * 100) == floor(color_b.g * 100)) && + (floor(color_a.b * 100) == floor(color_b.b * 100))) { + return true; + } - return false; + return false; } void main() { - vec2 uv = vec2(gl_FragCoord.xy); + vec2 uv = vec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, ivec2(uv.xy), 0).r; - vec4 src_pixel= texelFetch(strokeColor, ivec2(uv.xy), 0); - vec4 outcolor; + float stroke_depth = texelFetch(strokeDepth, ivec2(uv.xy), 0).r; + vec4 src_pixel = texelFetch(strokeColor, ivec2(uv.xy), 0); + vec4 outcolor; - /* is transparent */ - if (src_pixel.a == 0.0f) { - discard; - } + /* is transparent */ + if (src_pixel.a == 0.0f) { + discard; + } - if (mode == MODE_LUMINANCE) { - if (luma(src_pixel.rgb) < threshold) { - discard; - } - } - else if (mode == MODE_COLOR) { - if (!check_color(src_pixel.rgb, select_color.rgb)) { - discard; - } - } - else { - discard; - } + if (mode == MODE_LUMINANCE) { + if (luma(src_pixel.rgb) < threshold) { + discard; + } + } + else if (mode == MODE_COLOR) { + if (!check_color(src_pixel.rgb, select_color.rgb)) { + discard; + } + } + else { + discard; + } - gl_FragDepth = stroke_depth; - FragColor = vec4(glow_color.rgb, 1.0); + gl_FragDepth = stroke_depth; + FragColor = vec4(glow_color.rgb, 1.0); } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_resolve_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_resolve_frag.glsl index 5bff7a20523..e2aceb9eefe 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_resolve_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_glow_resolve_frag.glsl @@ -11,36 +11,36 @@ out vec4 FragColor; void main() { - vec4 outcolor; - ivec2 uv = ivec2(gl_FragCoord.xy); + vec4 outcolor; + ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; - vec4 src_pixel= texelFetch(strokeColor, uv.xy, 0); - vec4 glow_pixel= texelFetch(glowColor, uv.xy, 0); - float glow_depth = texelFetch(glowDepth, uv.xy, 0).r; + float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; + vec4 src_pixel = texelFetch(strokeColor, uv.xy, 0); + vec4 glow_pixel = texelFetch(glowColor, uv.xy, 0); + float glow_depth = texelFetch(glowDepth, uv.xy, 0).r; - if (alpha_mode == 0) { - outcolor = src_pixel + glow_pixel; - } - else { - if ((src_pixel.a < 0.1) || (glow_pixel.a < 0.1)) { - outcolor = src_pixel + glow_pixel; - } - else { - outcolor = src_pixel; - } - } + if (alpha_mode == 0) { + outcolor = src_pixel + glow_pixel; + } + else { + if ((src_pixel.a < 0.1) || (glow_pixel.a < 0.1)) { + outcolor = src_pixel + glow_pixel; + } + else { + outcolor = src_pixel; + } + } - if (src_pixel.a < glow_pixel.a) { - gl_FragDepth = glow_depth; - } - else { - gl_FragDepth = stroke_depth; - } + if (src_pixel.a < glow_pixel.a) { + gl_FragDepth = glow_depth; + } + else { + gl_FragDepth = stroke_depth; + } - if (outcolor.a < 0.001) { - discard; - } + if (outcolor.a < 0.001) { + discard; + } - FragColor = outcolor; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_light_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_light_frag.glsl index c12dd223ebe..a5c321c20c1 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_light_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_light_frag.glsl @@ -8,62 +8,63 @@ uniform vec4 loc; uniform float energy; uniform float ambient; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; out vec4 FragColor; float defaultpixsize = pixsize * (1000.0 / pixfactor); -#define height loc.w +#define height loc.w /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - /* need to calculate ndc because this is not done by vertex shader */ - vec3 ndc = vec3(vertex).xyz / vertex.w; + /* need to calculate ndc because this is not done by vertex shader */ + vec3 ndc = vec3(vertex).xyz / vertex.w; - vec2 sc; - sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; - sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; + vec2 sc; + sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; + sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; - return sc; + return sc; } void main() { - float stroke_depth; - vec4 objcolor; + float stroke_depth; + vec4 objcolor; - vec4 light_loc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - vec2 light2d = toScreenSpace(light_loc); + vec4 light_loc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + vec2 light2d = toScreenSpace(light_loc); - /* calc pixel scale */ - float pxscale = (ProjectionMatrix[3][3] == 0.0) ? (10.0 / (light_loc.z * defaultpixsize)) : (10.0 / defaultpixsize); - pxscale = max(pxscale, 0.000001); + /* calc pixel scale */ + float pxscale = (ProjectionMatrix[3][3] == 0.0) ? (10.0 / (light_loc.z * defaultpixsize)) : + (10.0 / defaultpixsize); + pxscale = max(pxscale, 0.000001); - /* the height over plane is received in the w component of the loc - * and needs a factor to adapt to pixels - */ - float peak = height * 10.0 * pxscale; - vec3 light3d = vec3(light2d.x, light2d.y, peak); + /* the height over plane is received in the w component of the loc + * and needs a factor to adapt to pixels + */ + float peak = height * 10.0 * pxscale; + vec3 light3d = vec3(light2d.x, light2d.y, peak); - vec2 uv = vec2(gl_FragCoord.xy); - vec3 frag_loc = vec3(uv.x, uv.y, 0); - vec3 norm = vec3(0, 0, 1.0); /* always z-up */ + vec2 uv = vec2(gl_FragCoord.xy); + vec3 frag_loc = vec3(uv.x, uv.y, 0); + vec3 norm = vec3(0, 0, 1.0); /* always z-up */ - ivec2 iuv = ivec2(uv.x, uv.y); - stroke_depth = texelFetch(strokeDepth, iuv, 0).r; - objcolor = texelFetch(strokeColor, iuv, 0); + ivec2 iuv = ivec2(uv.x, uv.y); + stroke_depth = texelFetch(strokeDepth, iuv, 0).r; + objcolor = texelFetch(strokeColor, iuv, 0); - /* diffuse light */ - vec3 lightdir = normalize(light3d - frag_loc); - float diff = max(dot(norm, lightdir), 0.0); - float dist = length(light3d - frag_loc) / pxscale; - float factor = diff * ((energy * 100.0) / (dist * dist)); + /* diffuse light */ + vec3 lightdir = normalize(light3d - frag_loc); + float diff = max(dot(norm, lightdir), 0.0); + float dist = length(light3d - frag_loc) / pxscale; + float factor = diff * ((energy * 100.0) / (dist * dist)); - vec3 result = factor * max(ambient, 0.1) * vec3(objcolor); + vec3 result = factor * max(ambient, 0.1) * vec3(objcolor); - gl_FragDepth = stroke_depth; - FragColor = vec4(result.r, result.g, result.b, objcolor.a); + gl_FragDepth = stroke_depth; + FragColor = vec4(result.r, result.g, result.b, objcolor.a); } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_pixel_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_pixel_frag.glsl index eb5596c639a..46b3c4286b4 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_pixel_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_pixel_frag.glsl @@ -8,7 +8,7 @@ uniform int size[3]; uniform vec4 color; uniform vec3 loc; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; out vec4 FragColor; @@ -20,30 +20,32 @@ vec2 nsize = max(vec2(size[0], size[1]), 3.0); /* This pixelation shader is a modified version of original Geeks3d.com code */ void main() { - vec2 uv = vec2(gl_FragCoord.xy); - vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - - float dx = (ProjectionMatrix[3][3] == 0.0) ? (nsize[0] / (nloc.z * defaultpixsize)) : (nsize[0] / defaultpixsize); - float dy = (ProjectionMatrix[3][3] == 0.0) ? (nsize[1] / (nloc.z * defaultpixsize)) : (nsize[1] / defaultpixsize); - - dx = max(abs(dx), 3.0); - dy = max(abs(dy), 3.0); - - vec2 coord = vec2(dx * floor(uv.x / dx), dy * floor(uv.y / dy)); - - float stroke_depth = texelFetch(strokeDepth, ivec2(coord), 0).r; - vec4 outcolor = texelFetch(strokeColor, ivec2(coord), 0); - - if (uselines == 1) { - float difx = uv.x - (floor(uv.x / nsize[0]) * nsize[0]); - if ((difx == 0.5) && (outcolor.a > 0)) { - outcolor = color; - } - float dify = uv.y - (floor(uv.y / nsize[1]) * nsize[1]); - if ((dify == 0.5) && (outcolor.a > 0)) { - outcolor = color; - } - } - gl_FragDepth = stroke_depth; - FragColor = outcolor; + vec2 uv = vec2(gl_FragCoord.xy); + vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + + float dx = (ProjectionMatrix[3][3] == 0.0) ? (nsize[0] / (nloc.z * defaultpixsize)) : + (nsize[0] / defaultpixsize); + float dy = (ProjectionMatrix[3][3] == 0.0) ? (nsize[1] / (nloc.z * defaultpixsize)) : + (nsize[1] / defaultpixsize); + + dx = max(abs(dx), 3.0); + dy = max(abs(dy), 3.0); + + vec2 coord = vec2(dx * floor(uv.x / dx), dy * floor(uv.y / dy)); + + float stroke_depth = texelFetch(strokeDepth, ivec2(coord), 0).r; + vec4 outcolor = texelFetch(strokeColor, ivec2(coord), 0); + + if (uselines == 1) { + float difx = uv.x - (floor(uv.x / nsize[0]) * nsize[0]); + if ((difx == 0.5) && (outcolor.a > 0)) { + outcolor = color; + } + float dify = uv.y - (floor(uv.y / nsize[1]) * nsize[1]); + if ((dify == 0.5) && (outcolor.a > 0)) { + outcolor = color; + } + } + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_prepare_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_prepare_frag.glsl index 2321429fbf1..2a17e573978 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_prepare_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_prepare_frag.glsl @@ -13,7 +13,7 @@ uniform vec3 rim_color; uniform vec3 mask_color; uniform vec3 loc; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; float defaultpixsize = pixsize * (1000.0 / pixfactor); @@ -23,41 +23,43 @@ out vec4 FragColor; void main() { - vec2 uv = vec2(gl_FragCoord.xy); - vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - - float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : (noffset[0] / defaultpixsize); - float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : (noffset[1] / defaultpixsize); - - float stroke_depth = texelFetch(strokeDepth, ivec2(uv.xy), 0).r; - vec4 src_pixel= texelFetch(strokeColor, ivec2(uv.xy), 0); - vec4 offset_pixel= texelFetch(strokeColor, ivec2(uv.x - dx, uv.y - dy), 0); - vec4 outcolor; - - /* is transparent */ - if (src_pixel.a == 0.0f) { - discard; - } - /* check inside viewport */ - else if ((uv.x - dx < 0) || (uv.x - dx > Viewport[0])) { - discard; - } - else if ((uv.y - dy < 0) || (uv.y - dy > Viewport[1])) { - discard; - } - /* pixel is equal to mask color, keep */ - else if (src_pixel.rgb == mask_color.rgb) { - discard; - } - else { - if ((src_pixel.a > 0) && (offset_pixel.a > 0)) { - discard; - } - else { - outcolor = vec4(rim_color, 1.0); - } - } - - gl_FragDepth = stroke_depth; - FragColor = outcolor; + vec2 uv = vec2(gl_FragCoord.xy); + vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + + float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : + (noffset[0] / defaultpixsize); + float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : + (noffset[1] / defaultpixsize); + + float stroke_depth = texelFetch(strokeDepth, ivec2(uv.xy), 0).r; + vec4 src_pixel = texelFetch(strokeColor, ivec2(uv.xy), 0); + vec4 offset_pixel = texelFetch(strokeColor, ivec2(uv.x - dx, uv.y - dy), 0); + vec4 outcolor; + + /* is transparent */ + if (src_pixel.a == 0.0f) { + discard; + } + /* check inside viewport */ + else if ((uv.x - dx < 0) || (uv.x - dx > Viewport[0])) { + discard; + } + else if ((uv.y - dy < 0) || (uv.y - dy > Viewport[1])) { + discard; + } + /* pixel is equal to mask color, keep */ + else if (src_pixel.rgb == mask_color.rgb) { + discard; + } + else { + if ((src_pixel.a > 0) && (offset_pixel.a > 0)) { + discard; + } + else { + outcolor = vec4(rim_color, 1.0); + } + } + + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_resolve_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_resolve_frag.glsl index 0a7eb65d564..fa010baa32f 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_resolve_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_rim_resolve_frag.glsl @@ -10,89 +10,89 @@ uniform int mode; out vec4 FragColor; -#define MODE_NORMAL 0 -#define MODE_OVERLAY 1 -#define MODE_ADD 2 -#define MODE_SUB 3 +#define MODE_NORMAL 0 +#define MODE_OVERLAY 1 +#define MODE_ADD 2 +#define MODE_SUB 3 #define MODE_MULTIPLY 4 -#define MODE_DIVIDE 5 +#define MODE_DIVIDE 5 float overlay_color(float a, float b) { - float rtn; - if (a < 0.5) { - rtn = 2.0 * a * b; - } - else { - rtn = 1.0 - 2.0 * (1.0 - a) * (1.0 - b); - } + float rtn; + if (a < 0.5) { + rtn = 2.0 * a * b; + } + else { + rtn = 1.0 - 2.0 * (1.0 - a) * (1.0 - b); + } - return rtn; + return rtn; } vec4 get_blend_color(int mode, vec4 src_color, vec4 mix_color) { - vec4 outcolor; - if (mode == MODE_NORMAL) { - outcolor = mix_color; - } - else if (mode == MODE_OVERLAY) { - outcolor.r = overlay_color(src_color.r, mix_color.r); - outcolor.g = overlay_color(src_color.g, mix_color.g); - outcolor.b = overlay_color(src_color.b, mix_color.b); - } - else if (mode == MODE_ADD){ - outcolor = src_color + mix_color; - } - else if (mode == MODE_SUB){ - outcolor = src_color - mix_color; - } - else if (mode == MODE_MULTIPLY) { - outcolor = src_color * mix_color; - } - else if (mode == MODE_DIVIDE) { - outcolor = src_color / mix_color; - } - else { - outcolor = mix_color; - } + vec4 outcolor; + if (mode == MODE_NORMAL) { + outcolor = mix_color; + } + else if (mode == MODE_OVERLAY) { + outcolor.r = overlay_color(src_color.r, mix_color.r); + outcolor.g = overlay_color(src_color.g, mix_color.g); + outcolor.b = overlay_color(src_color.b, mix_color.b); + } + else if (mode == MODE_ADD) { + outcolor = src_color + mix_color; + } + else if (mode == MODE_SUB) { + outcolor = src_color - mix_color; + } + else if (mode == MODE_MULTIPLY) { + outcolor = src_color * mix_color; + } + else if (mode == MODE_DIVIDE) { + outcolor = src_color / mix_color; + } + else { + outcolor = mix_color; + } - /* use always the alpha of source color */ + /* use always the alpha of source color */ - outcolor.a = src_color.a; - /* use alpha to calculate the weight of the mixed color */ - outcolor = mix(src_color, outcolor, mix_color.a); + outcolor.a = src_color.a; + /* use alpha to calculate the weight of the mixed color */ + outcolor = mix(src_color, outcolor, mix_color.a); - return outcolor; + return outcolor; } void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); + ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; - vec4 src_pixel= texelFetch(strokeColor, uv.xy, 0); - vec4 rim_pixel= texelFetch(strokeRim, uv.xy, 0); + float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; + vec4 src_pixel = texelFetch(strokeColor, uv.xy, 0); + vec4 rim_pixel = texelFetch(strokeRim, uv.xy, 0); - vec4 outcolor = src_pixel; + vec4 outcolor = src_pixel; - /* is transparent */ - if (src_pixel.a == 0.0f) { - discard; - } - /* pixel is equal to mask color, keep */ - else if (src_pixel.rgb == mask_color.rgb) { - outcolor = src_pixel; - } - else { - if (rim_pixel.a == 0.0f) { - outcolor = src_pixel; - } - else { - outcolor = get_blend_color(mode, src_pixel, rim_pixel); - } - } + /* is transparent */ + if (src_pixel.a == 0.0f) { + discard; + } + /* pixel is equal to mask color, keep */ + else if (src_pixel.rgb == mask_color.rgb) { + outcolor = src_pixel; + } + else { + if (rim_pixel.a == 0.0f) { + outcolor = src_pixel; + } + else { + outcolor = get_blend_color(mode, src_pixel, rim_pixel); + } + } - gl_FragDepth = stroke_depth; - FragColor = outcolor; + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_prepare_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_prepare_frag.glsl index 8bb92f69723..d2e20feae18 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_prepare_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_prepare_frag.glsl @@ -19,7 +19,7 @@ uniform float phase; uniform int orientation; uniform vec3 loc; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; #define M_PI 3.1415926535897932384626433832795 @@ -37,61 +37,62 @@ out vec4 FragColor; /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - /* need to calculate ndc because this is not done by vertex shader */ - vec3 ndc = vec3(vertex).xyz / vertex.w; + /* need to calculate ndc because this is not done by vertex shader */ + vec3 ndc = vec3(vertex).xyz / vertex.w; - vec2 sc; - sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; - sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; + vec2 sc; + sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; + sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; - return sc; + return sc; } void main() { - vec2 uv = vec2(gl_FragCoord.xy); - vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - vec2 loc2d = toScreenSpace(nloc); - - float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : (noffset[0] / defaultpixsize); - float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : (noffset[1] / defaultpixsize); - - - /* move point to new coords system */ - vec2 tpos = vec2(uv.x, uv.y) - loc2d; - - /* rotation */ - if (rotation != 0) { - vec2 rotpoint = vec2((tpos.x * cosv) - (tpos.y * sinv), (tpos.x * sinv) + (tpos.y * cosv)); - tpos = rotpoint; - } - - /* apply offset */ - tpos = vec2(tpos.x - dx, tpos.y - dy); - - /* apply scale */ - tpos.x *= 1.0 / scale[0]; - tpos.y *= 1.0 / scale[1]; - - /* back to original coords system */ - vec2 texpos = tpos + loc2d; - - /* wave */ - if (orientation == HORIZONTAL) { - float pval = (uv.x * M_PI) / Viewport[0]; - texpos.y += amplitude * sin((period * pval) + phase); - } - else if (orientation == VERTICAL){ - float pval = (uv.y * M_PI) / Viewport[1]; - texpos.x += amplitude * sin((period * pval) + phase); - } - - vec4 src_pixel = texelFetch(strokeColor, ivec2(texpos.x, texpos.y), 0); - /* is transparent */ - if (src_pixel.a == 0.0f) { - discard; - } - - gl_FragDepth = texelFetch(strokeDepth, ivec2(texpos.x, texpos.y), 0).r; - FragColor = shadow_color; + vec2 uv = vec2(gl_FragCoord.xy); + vec4 nloc = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + vec2 loc2d = toScreenSpace(nloc); + + float dx = (ProjectionMatrix[3][3] == 0.0) ? (noffset[0] / (nloc.z * defaultpixsize)) : + (noffset[0] / defaultpixsize); + float dy = (ProjectionMatrix[3][3] == 0.0) ? (noffset[1] / (nloc.z * defaultpixsize)) : + (noffset[1] / defaultpixsize); + + /* move point to new coords system */ + vec2 tpos = vec2(uv.x, uv.y) - loc2d; + + /* rotation */ + if (rotation != 0) { + vec2 rotpoint = vec2((tpos.x * cosv) - (tpos.y * sinv), (tpos.x * sinv) + (tpos.y * cosv)); + tpos = rotpoint; + } + + /* apply offset */ + tpos = vec2(tpos.x - dx, tpos.y - dy); + + /* apply scale */ + tpos.x *= 1.0 / scale[0]; + tpos.y *= 1.0 / scale[1]; + + /* back to original coords system */ + vec2 texpos = tpos + loc2d; + + /* wave */ + if (orientation == HORIZONTAL) { + float pval = (uv.x * M_PI) / Viewport[0]; + texpos.y += amplitude * sin((period * pval) + phase); + } + else if (orientation == VERTICAL) { + float pval = (uv.y * M_PI) / Viewport[1]; + texpos.x += amplitude * sin((period * pval) + phase); + } + + vec4 src_pixel = texelFetch(strokeColor, ivec2(texpos.x, texpos.y), 0); + /* is transparent */ + if (src_pixel.a == 0.0f) { + discard; + } + + gl_FragDepth = texelFetch(strokeDepth, ivec2(texpos.x, texpos.y), 0).r; + FragColor = shadow_color; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_resolve_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_resolve_frag.glsl index 0343d0d42fc..3ef11008adf 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_resolve_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_shadow_resolve_frag.glsl @@ -10,23 +10,23 @@ out vec4 FragColor; void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); + ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; - float shadow_depth = texelFetch(shadowDepth, uv.xy, 0).r; - vec4 stroke_pixel= texelFetch(strokeColor, uv.xy, 0); - vec4 shadow_pixel= texelFetch(shadowColor, uv.xy, 0); + float stroke_depth = texelFetch(strokeDepth, uv.xy, 0).r; + float shadow_depth = texelFetch(shadowDepth, uv.xy, 0).r; + vec4 stroke_pixel = texelFetch(strokeColor, uv.xy, 0); + vec4 shadow_pixel = texelFetch(shadowColor, uv.xy, 0); - /* copy original pixel */ - vec4 outcolor = stroke_pixel; - float outdepth = stroke_depth; + /* copy original pixel */ + vec4 outcolor = stroke_pixel; + float outdepth = stroke_depth; - /* if stroke is not on top, copy shadow */ - if ((stroke_pixel.a <= 0.2) && (shadow_pixel.a > 0.0)) { - outcolor = shadow_pixel; - outdepth = shadow_depth; - } + /* if stroke is not on top, copy shadow */ + if ((stroke_pixel.a <= 0.2) && (shadow_pixel.a > 0.0)) { + outcolor = shadow_pixel; + outdepth = shadow_depth; + } - gl_FragDepth = outdepth; - FragColor = outcolor; + gl_FragDepth = outdepth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_swirl_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_swirl_frag.glsl index 92485987c93..b226d4f93bc 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_swirl_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_swirl_frag.glsl @@ -10,7 +10,7 @@ uniform int radius; uniform float angle; uniform int transparent; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform float pixfactor; out vec4 FragColor; @@ -20,50 +20,51 @@ float defaultpixsize = pixsize * (1000.0 / pixfactor); /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - /* need to calculate ndc because this is not done by vertex shader */ - vec3 ndc = vec3(vertex).xyz / vertex.w; + /* need to calculate ndc because this is not done by vertex shader */ + vec3 ndc = vec3(vertex).xyz / vertex.w; - vec2 sc; - sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; - sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; + vec2 sc; + sc.x = ((ndc.x + 1.0) / 2.0) * Viewport.x; + sc.y = ((ndc.y + 1.0) / 2.0) * Viewport.y; - return sc; + return sc; } /* This swirl shader is a modified version of original Geeks3d.com code */ void main() { - vec2 uv = vec2(gl_FragCoord.xy); - float stroke_depth; - vec4 outcolor; + vec2 uv = vec2(gl_FragCoord.xy); + float stroke_depth; + vec4 outcolor; - vec4 center3d = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); - vec2 center = toScreenSpace(center3d); - vec2 tc = uv - center; + vec4 center3d = ProjectionMatrix * ViewMatrix * vec4(loc.xyz, 1.0); + vec2 center = toScreenSpace(center3d); + vec2 tc = uv - center; - float dist = length(tc); - float pxradius = (ProjectionMatrix[3][3] == 0.0) ? (radius / (loc.z * defaultpixsize)) : (radius / defaultpixsize); - pxradius = max(pxradius, 1); + float dist = length(tc); + float pxradius = (ProjectionMatrix[3][3] == 0.0) ? (radius / (loc.z * defaultpixsize)) : + (radius / defaultpixsize); + pxradius = max(pxradius, 1); - if (dist <= pxradius) { - float percent = (pxradius - dist) / pxradius; - float theta = percent * percent * angle * 8.0; - float s = sin(theta); - float c = cos(theta); - tc = vec2(dot(tc, vec2(c, -s)), dot(tc, vec2(s, c))); - tc += center; + if (dist <= pxradius) { + float percent = (pxradius - dist) / pxradius; + float theta = percent * percent * angle * 8.0; + float s = sin(theta); + float c = cos(theta); + tc = vec2(dot(tc, vec2(c, -s)), dot(tc, vec2(s, c))); + tc += center; - stroke_depth = texelFetch(strokeDepth, ivec2(tc), 0).r; - outcolor = texelFetch(strokeColor, ivec2(tc), 0); - } - else { - if (transparent == 1) { - discard; - } - stroke_depth = texelFetch(strokeDepth, ivec2(uv), 0).r; - outcolor = texelFetch(strokeColor, ivec2(uv), 0); - } + stroke_depth = texelFetch(strokeDepth, ivec2(tc), 0).r; + outcolor = texelFetch(strokeColor, ivec2(tc), 0); + } + else { + if (transparent == 1) { + discard; + } + stroke_depth = texelFetch(strokeDepth, ivec2(uv), 0).r; + outcolor = texelFetch(strokeColor, ivec2(uv), 0); + } - gl_FragDepth = stroke_depth; - FragColor = outcolor; + gl_FragDepth = stroke_depth; + FragColor = outcolor; } diff --git a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_wave_frag.glsl b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_wave_frag.glsl index 04ab1557d07..0a5df9f6d77 100644 --- a/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_wave_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/fx/gpencil_fx_wave_frag.glsl @@ -17,28 +17,28 @@ uniform vec2 wsize; void main() { - vec4 outcolor; - ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth; - - float value; - if (orientation == HORIZONTAL) { - float pval = (uv.x * M_PI) / wsize[0]; - value = amplitude * sin((period * pval) + phase); - outcolor = texelFetch(strokeColor, ivec2(uv.x, uv.y + value), 0); - stroke_depth = texelFetch(strokeDepth, ivec2(uv.x, uv.y + value), 0).r; - } - else { - float pval = (uv.y * M_PI) / wsize[1]; - value = amplitude * sin((period * pval) + phase); - outcolor = texelFetch(strokeColor, ivec2(uv.x + value, uv.y), 0); - stroke_depth = texelFetch(strokeDepth, ivec2(uv.x + value, uv.y), 0).r; - } - - FragColor = outcolor; - gl_FragDepth = stroke_depth; - - if (outcolor.a < 0.02f) { - discard; - } + vec4 outcolor; + ivec2 uv = ivec2(gl_FragCoord.xy); + float stroke_depth; + + float value; + if (orientation == HORIZONTAL) { + float pval = (uv.x * M_PI) / wsize[0]; + value = amplitude * sin((period * pval) + phase); + outcolor = texelFetch(strokeColor, ivec2(uv.x, uv.y + value), 0); + stroke_depth = texelFetch(strokeDepth, ivec2(uv.x, uv.y + value), 0).r; + } + else { + float pval = (uv.y * M_PI) / wsize[1]; + value = amplitude * sin((period * pval) + phase); + outcolor = texelFetch(strokeColor, ivec2(uv.x + value, uv.y), 0); + stroke_depth = texelFetch(strokeDepth, ivec2(uv.x + value, uv.y), 0).r; + } + + FragColor = outcolor; + gl_FragDepth = stroke_depth; + + if (outcolor.a < 0.02f) { + discard; + } } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_background_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_background_frag.glsl index cbd7a461dd3..18803bfa3fa 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_background_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_background_frag.glsl @@ -5,8 +5,8 @@ uniform sampler2D strokeDepth; void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); + ivec2 uv = ivec2(gl_FragCoord.xy); - gl_FragDepth = texelFetch(strokeDepth, uv, 0).r; - FragColor = texelFetch(strokeColor, uv, 0); + gl_FragDepth = texelFetch(strokeDepth, uv, 0).r; + FragColor = texelFetch(strokeColor, uv, 0); } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_blend_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_blend_frag.glsl index fdaad9890a0..0482ea50916 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_blend_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_blend_frag.glsl @@ -14,144 +14,145 @@ uniform int tonemapping; #define ON 1 #define OFF 0 -#define MODE_NORMAL 0 -#define MODE_OVERLAY 1 -#define MODE_ADD 2 -#define MODE_SUB 3 +#define MODE_NORMAL 0 +#define MODE_OVERLAY 1 +#define MODE_ADD 2 +#define MODE_SUB 3 #define MODE_MULTIPLY 4 -#define MODE_DIVIDE 5 +#define MODE_DIVIDE 5 float overlay_color(float a, float b) { - float rtn; - if (a < 0.5) { - rtn = 2.0 * a * b; - } - else { - rtn = 1.0 - 2.0 * (1.0 - a) * (1.0 - b); - } - - return rtn; + float rtn; + if (a < 0.5) { + rtn = 2.0 * a * b; + } + else { + rtn = 1.0 - 2.0 * (1.0 - a) * (1.0 - b); + } + + return rtn; } vec4 get_blend_color(int mode, vec4 src_color, vec4 blend_color) { - vec4 mix_color = blend_color; - vec4 outcolor; - - if (mix_color.a == 0) { - outcolor = src_color; - } - else if (mode == MODE_OVERLAY) { - mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; - outcolor.r = overlay_color(src_color.r, mix_color.r); - outcolor.g = overlay_color(src_color.g, mix_color.g); - outcolor.b = overlay_color(src_color.b, mix_color.b); - outcolor.a = src_color.a; - } - else if (mode == MODE_ADD){ - mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; - outcolor = src_color + mix_color; - outcolor.a = src_color.a; - } - else if (mode == MODE_SUB){ - outcolor = src_color - mix_color; - outcolor.a = clamp(src_color.a - (mix_color.a * blend_opacity), 0.0, 1.0); - } - else if (mode == MODE_MULTIPLY) { - /* interpolate between 1 and color using opacity */ - mix_color.rgb = mix(vec3(1,1,1), mix_color.rgb * mix_color.a, blend_opacity); - outcolor = src_color * mix_color; - outcolor.a = src_color.a; - } - else if (mode == MODE_DIVIDE) { - mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; - outcolor = src_color / mix_color; - outcolor.a = src_color.a; - } - else { - outcolor = mix_color * blend_opacity;; - outcolor.a = src_color.a; - } - - return outcolor; + vec4 mix_color = blend_color; + vec4 outcolor; + + if (mix_color.a == 0) { + outcolor = src_color; + } + else if (mode == MODE_OVERLAY) { + mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; + outcolor.r = overlay_color(src_color.r, mix_color.r); + outcolor.g = overlay_color(src_color.g, mix_color.g); + outcolor.b = overlay_color(src_color.b, mix_color.b); + outcolor.a = src_color.a; + } + else if (mode == MODE_ADD) { + mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; + outcolor = src_color + mix_color; + outcolor.a = src_color.a; + } + else if (mode == MODE_SUB) { + outcolor = src_color - mix_color; + outcolor.a = clamp(src_color.a - (mix_color.a * blend_opacity), 0.0, 1.0); + } + else if (mode == MODE_MULTIPLY) { + /* interpolate between 1 and color using opacity */ + mix_color.rgb = mix(vec3(1, 1, 1), mix_color.rgb * mix_color.a, blend_opacity); + outcolor = src_color * mix_color; + outcolor.a = src_color.a; + } + else if (mode == MODE_DIVIDE) { + mix_color.rgb = mix_color.rgb * mix_color.a * blend_opacity; + outcolor = src_color / mix_color; + outcolor.a = src_color.a; + } + else { + outcolor = mix_color * blend_opacity; + ; + outcolor.a = src_color.a; + } + + return outcolor; } float linearrgb_to_srgb(float c) { - if (c < 0.0031308) { - return (c < 0.0) ? 0.0 : c * 12.92; - } - else { - return 1.055 * pow(c, 1.0 / 2.4) - 0.055; - } + if (c < 0.0031308) { + return (c < 0.0) ? 0.0 : c * 12.92; + } + else { + return 1.055 * pow(c, 1.0 / 2.4) - 0.055; + } } vec4 tone(vec4 stroke_color) { - if (tonemapping == 1) { - vec4 color = vec4(0, 0, 0, stroke_color.a); - color.r = linearrgb_to_srgb(stroke_color.r); - color.g = linearrgb_to_srgb(stroke_color.g); - color.b = linearrgb_to_srgb(stroke_color.b); - return color; - } - else { - return stroke_color; - } + if (tonemapping == 1) { + vec4 color = vec4(0, 0, 0, stroke_color.a); + color.r = linearrgb_to_srgb(stroke_color.r); + color.g = linearrgb_to_srgb(stroke_color.g); + color.b = linearrgb_to_srgb(stroke_color.b); + return color; + } + else { + return stroke_color; + } } void main() { - vec4 outcolor; - ivec2 uv = ivec2(gl_FragCoord.xy); - vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; - float stroke_depth = texelFetch(strokeDepth, uv, 0).r; - - vec4 mix_color = texelFetch(blendColor, uv, 0).rgba; - float mix_depth = texelFetch(blendDepth, uv, 0).r; - - /* premult alpha factor to remove double blend effects */ - if (stroke_color.a > 0) { - stroke_color = vec4(vec3(stroke_color.rgb / stroke_color.a), stroke_color.a); - } - if (mix_color.a > 0) { - mix_color = vec4(vec3(mix_color.rgb / mix_color.a), mix_color.a); - } - - /* Normal mode */ - if (mode == MODE_NORMAL) { - if (stroke_color.a > 0) { - if (mix_color.a > 0) { - FragColor = vec4(mix(stroke_color.rgb, mix_color.rgb, mix_color.a), stroke_color.a); - gl_FragDepth = mix_depth; - } - else { - FragColor = stroke_color; - gl_FragDepth = stroke_depth; - } - } - else { - if (clamp_layer == ON) { - discard; - } - else { - FragColor = mix_color; - gl_FragDepth = mix_depth; - } - } - FragColor = tone(FragColor); - return; - } - - /* if not using mask, return mix color */ - if ((stroke_color.a == 0) && (clamp_layer == OFF)) { - FragColor = tone(mix_color); - gl_FragDepth = mix_depth; - return; - } - - /* apply blend mode */ - FragColor = tone(get_blend_color(mode, stroke_color, mix_color)); - gl_FragDepth = stroke_depth; + vec4 outcolor; + ivec2 uv = ivec2(gl_FragCoord.xy); + vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; + float stroke_depth = texelFetch(strokeDepth, uv, 0).r; + + vec4 mix_color = texelFetch(blendColor, uv, 0).rgba; + float mix_depth = texelFetch(blendDepth, uv, 0).r; + + /* premult alpha factor to remove double blend effects */ + if (stroke_color.a > 0) { + stroke_color = vec4(vec3(stroke_color.rgb / stroke_color.a), stroke_color.a); + } + if (mix_color.a > 0) { + mix_color = vec4(vec3(mix_color.rgb / mix_color.a), mix_color.a); + } + + /* Normal mode */ + if (mode == MODE_NORMAL) { + if (stroke_color.a > 0) { + if (mix_color.a > 0) { + FragColor = vec4(mix(stroke_color.rgb, mix_color.rgb, mix_color.a), stroke_color.a); + gl_FragDepth = mix_depth; + } + else { + FragColor = stroke_color; + gl_FragDepth = stroke_depth; + } + } + else { + if (clamp_layer == ON) { + discard; + } + else { + FragColor = mix_color; + gl_FragDepth = mix_depth; + } + } + FragColor = tone(FragColor); + return; + } + + /* if not using mask, return mix color */ + if ((stroke_color.a == 0) && (clamp_layer == OFF)) { + FragColor = tone(mix_color); + gl_FragDepth = mix_depth; + return; + } + + /* apply blend mode */ + FragColor = tone(get_blend_color(mode, stroke_color, mix_color)); + gl_FragDepth = stroke_depth; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_frag.glsl index b3bd8e488f2..6a2a4f68dc9 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_frag.glsl @@ -4,14 +4,14 @@ out vec4 fragColor; void main() { - vec2 centered = mTexCoord - vec2(0.5); - float dist_squared = dot(centered, centered); - const float rad_squared = 0.25; + vec2 centered = mTexCoord - vec2(0.5); + float dist_squared = dot(centered, centered); + const float rad_squared = 0.25; - // round point with jaggy edges - if (dist_squared > rad_squared) { - discard; - } + // round point with jaggy edges + if (dist_squared > rad_squared) { + discard; + } - fragColor = mColor; + fragColor = mColor; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_geom.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_geom.glsl index 0d2da00db66..b5d0a5bce71 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_geom.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_geom.glsl @@ -13,36 +13,36 @@ out vec2 mTexCoord; /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - return vec2(vertex.xy / vertex.w) * Viewport; + return vec2(vertex.xy / vertex.w) * Viewport; } void main(void) { - vec4 P0 = gl_in[0].gl_Position; - vec2 sp0 = toScreenSpace(P0); + vec4 P0 = gl_in[0].gl_Position; + vec2 sp0 = toScreenSpace(P0); - float size = finalThickness[0]; + float size = finalThickness[0]; - /* generate the triangle strip */ - mTexCoord = vec2(0, 1); - mColor = finalColor[0]; - gl_Position = vec4(vec2(sp0.x - size, sp0.y + size) / Viewport, 0, 1.0); - EmitVertex(); + /* generate the triangle strip */ + mTexCoord = vec2(0, 1); + mColor = finalColor[0]; + gl_Position = vec4(vec2(sp0.x - size, sp0.y + size) / Viewport, 0, 1.0); + EmitVertex(); - mTexCoord = vec2(0, 0); - mColor = finalColor[0]; - gl_Position = vec4(vec2(sp0.x - size, sp0.y - size) / Viewport, 0, 1.0); - EmitVertex(); + mTexCoord = vec2(0, 0); + mColor = finalColor[0]; + gl_Position = vec4(vec2(sp0.x - size, sp0.y - size) / Viewport, 0, 1.0); + EmitVertex(); - mTexCoord = vec2(1, 1); - mColor = finalColor[0]; - gl_Position = vec4(vec2(sp0.x + size, sp0.y + size) / Viewport, 0, 1.0); - EmitVertex(); + mTexCoord = vec2(1, 1); + mColor = finalColor[0]; + gl_Position = vec4(vec2(sp0.x + size, sp0.y + size) / Viewport, 0, 1.0); + EmitVertex(); - mTexCoord = vec2(1, 0); - mColor = finalColor[0]; - gl_Position = vec4(vec2(sp0.x + size, sp0.y - size) / Viewport, 0, 1.0); - EmitVertex(); + mTexCoord = vec2(1, 0); + mColor = finalColor[0]; + gl_Position = vec4(vec2(sp0.x + size, sp0.y - size) / Viewport, 0, 1.0); + EmitVertex(); - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_vert.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_vert.glsl index 77fdf58bea0..eea28755ae6 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_vert.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_edit_point_vert.glsl @@ -9,7 +9,7 @@ out float finalThickness; void main() { - gl_Position = ModelViewProjectionMatrix * vec4( pos, 1.0 ); - finalColor = color; - finalThickness = size; + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + finalColor = color; + finalThickness = size; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_fill_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_fill_frag.glsl index 7f3bbf17222..632c63a39aa 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_fill_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_fill_frag.glsl @@ -39,146 +39,172 @@ uniform vec4 wire_color; #define GP_DRAWMODE_2D 0 #define GP_DRAWMODE_3D 1 -#define OB_WIRE 2 +#define OB_WIRE 2 #define OB_SOLID 3 -#define V3D_SHADING_MATERIAL_COLOR 0 -#define V3D_SHADING_TEXTURE_COLOR 3 +#define V3D_SHADING_MATERIAL_COLOR 0 +#define V3D_SHADING_TEXTURE_COLOR 3 in vec4 finalColor; in vec2 texCoord_interp; out vec4 fragColor; #define texture2D texture -void set_color(in vec4 color, in vec4 color2, in vec4 tcolor, in float mixv, in float factor, - in int tmix, in int flip, out vec4 ocolor) +void set_color(in vec4 color, + in vec4 color2, + in vec4 tcolor, + in float mixv, + in float factor, + in int tmix, + in int flip, + out vec4 ocolor) { - /* full color A */ - if (mixv == 1.0) { - if (tmix == 1) { - ocolor = (flip == 0) ? color : tcolor; - } - else { - ocolor = (flip == 0) ? color : color2; - } - } - /* full color B */ - else if (mixv == 0.0) { - if (tmix == 1) { - ocolor = (flip == 0) ? tcolor : color; - } - else { - ocolor = (flip == 0) ? color2 : color; - } - } - /* mix of colors */ - else { - if (tmix == 1) { - ocolor = (flip == 0) ? mix(color, tcolor, factor) : mix(tcolor, color, factor); - } - else { - ocolor = (flip == 0) ? mix(color, color2, factor) : mix(color2, color, factor); - } - } - ocolor.a *= layer_opacity; + /* full color A */ + if (mixv == 1.0) { + if (tmix == 1) { + ocolor = (flip == 0) ? color : tcolor; + } + else { + ocolor = (flip == 0) ? color : color2; + } + } + /* full color B */ + else if (mixv == 0.0) { + if (tmix == 1) { + ocolor = (flip == 0) ? tcolor : color; + } + else { + ocolor = (flip == 0) ? color2 : color; + } + } + /* mix of colors */ + else { + if (tmix == 1) { + ocolor = (flip == 0) ? mix(color, tcolor, factor) : mix(tcolor, color, factor); + } + else { + ocolor = (flip == 0) ? mix(color, color2, factor) : mix(color2, color, factor); + } + } + ocolor.a *= layer_opacity; } void main() { - vec2 t_center = vec2(0.5, 0.5); - mat2 matrot_tex = mat2(cos(texture_angle), -sin(texture_angle), sin(texture_angle), cos(texture_angle)); - vec2 rot_tex = (matrot_tex * (texCoord_interp - t_center)) + t_center + texture_offset; - vec4 tmp_color; - tmp_color = (texture_clamp == 0) ? texture2D(myTexture, rot_tex * texture_scale) : texture2D(myTexture, clamp(rot_tex * texture_scale, 0.0, 1.0)); - vec4 text_color = vec4(tmp_color[0], tmp_color[1], tmp_color[2], tmp_color[3] * texture_opacity); - vec4 chesscolor; - - /* wireframe with x-ray discard */ - if ((viewport_xray == 1) && (shading_type[0] == OB_WIRE)) { - discard; - } - - /* solid fill */ - if (fill_type == SOLID) { - fragColor = finalColor; - } - else { - vec2 center = vec2(0.5, 0.5) + gradient_shift; - mat2 matrot = mat2(cos(gradient_angle), -sin(gradient_angle), sin(gradient_angle), cos(gradient_angle)); - vec2 rot = (((matrot * (texCoord_interp - center)) + center) * gradient_scale) + gradient_shift; - /* gradient */ - if (fill_type == GRADIENT) { - set_color(finalColor, color2, text_color, mix_factor, rot.x - mix_factor + 0.5, texture_mix, texture_flip, fragColor); - } - /* radial gradient */ - if (fill_type == RADIAL) { - float in_rad = gradient_radius * mix_factor; - float ex_rad = gradient_radius - in_rad; - float intensity = 0; - float distance = length((center - texCoord_interp) * gradient_scale); - if (distance > gradient_radius) { - discard; - } - if (distance > in_rad) { - intensity = clamp(((distance - in_rad) / ex_rad), 0.0, 1.0); - } - set_color(finalColor, color2, text_color, mix_factor, intensity, texture_mix, texture_flip, fragColor); - } - /* chessboard */ - if (fill_type == CHESS) { - vec2 pos = rot / pattern_gridsize; - if ((fract(pos.x) < 0.5 && fract(pos.y) < 0.5) || (fract(pos.x) > 0.5 && fract(pos.y) > 0.5)) { - chesscolor = (texture_flip == 0) ? finalColor : color2; - } - else { - chesscolor = (texture_flip == 0) ? color2 : finalColor; - } - /* mix with texture */ - fragColor = (texture_mix == 1) ? mix(chesscolor, text_color, mix_factor) : chesscolor; - fragColor.a *= layer_opacity; - } - /* texture */ - if (fill_type == TEXTURE) { - fragColor = (texture_mix == 1) ? mix(text_color, finalColor, mix_factor) : text_color; - fragColor.a *= layer_opacity; - } - /* pattern */ - if (fill_type == PATTERN) { - fragColor = finalColor; - fragColor.a = min(text_color.a, finalColor.a) * layer_opacity; - } - } - - /* set zdepth */ - if (xraymode == GP_XRAY_FRONT) { - gl_FragDepth = 0.000001; - } - else if (xraymode == GP_XRAY_3DSPACE) { - /* if 3D mode, move slightly the fill to avoid z-fighting between stroke and fill on same stroke */ - if (drawmode == GP_DRAWMODE_3D) { - gl_FragDepth = gl_FragCoord.z * 1.0001; - } - else { - gl_FragDepth = gl_FragCoord.z; - } - } - else { - gl_FragDepth = 0.000001; - } - - /* if wireframe override colors */ - if (shading_type[0] == OB_WIRE) { - fragColor = wire_color; - } - - /* for solid override color */ - if (shading_type[0] == OB_SOLID) { - if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { - fragColor = wire_color; - } - if (viewport_xray == 1) { - fragColor.a *= 0.5; - } - } - + vec2 t_center = vec2(0.5, 0.5); + mat2 matrot_tex = mat2( + cos(texture_angle), -sin(texture_angle), sin(texture_angle), cos(texture_angle)); + vec2 rot_tex = (matrot_tex * (texCoord_interp - t_center)) + t_center + texture_offset; + vec4 tmp_color; + tmp_color = (texture_clamp == 0) ? + texture2D(myTexture, rot_tex * texture_scale) : + texture2D(myTexture, clamp(rot_tex * texture_scale, 0.0, 1.0)); + vec4 text_color = vec4(tmp_color[0], tmp_color[1], tmp_color[2], tmp_color[3] * texture_opacity); + vec4 chesscolor; + + /* wireframe with x-ray discard */ + if ((viewport_xray == 1) && (shading_type[0] == OB_WIRE)) { + discard; + } + + /* solid fill */ + if (fill_type == SOLID) { + fragColor = finalColor; + } + else { + vec2 center = vec2(0.5, 0.5) + gradient_shift; + mat2 matrot = mat2( + cos(gradient_angle), -sin(gradient_angle), sin(gradient_angle), cos(gradient_angle)); + vec2 rot = (((matrot * (texCoord_interp - center)) + center) * gradient_scale) + + gradient_shift; + /* gradient */ + if (fill_type == GRADIENT) { + set_color(finalColor, + color2, + text_color, + mix_factor, + rot.x - mix_factor + 0.5, + texture_mix, + texture_flip, + fragColor); + } + /* radial gradient */ + if (fill_type == RADIAL) { + float in_rad = gradient_radius * mix_factor; + float ex_rad = gradient_radius - in_rad; + float intensity = 0; + float distance = length((center - texCoord_interp) * gradient_scale); + if (distance > gradient_radius) { + discard; + } + if (distance > in_rad) { + intensity = clamp(((distance - in_rad) / ex_rad), 0.0, 1.0); + } + set_color(finalColor, + color2, + text_color, + mix_factor, + intensity, + texture_mix, + texture_flip, + fragColor); + } + /* chessboard */ + if (fill_type == CHESS) { + vec2 pos = rot / pattern_gridsize; + if ((fract(pos.x) < 0.5 && fract(pos.y) < 0.5) || + (fract(pos.x) > 0.5 && fract(pos.y) > 0.5)) { + chesscolor = (texture_flip == 0) ? finalColor : color2; + } + else { + chesscolor = (texture_flip == 0) ? color2 : finalColor; + } + /* mix with texture */ + fragColor = (texture_mix == 1) ? mix(chesscolor, text_color, mix_factor) : chesscolor; + fragColor.a *= layer_opacity; + } + /* texture */ + if (fill_type == TEXTURE) { + fragColor = (texture_mix == 1) ? mix(text_color, finalColor, mix_factor) : text_color; + fragColor.a *= layer_opacity; + } + /* pattern */ + if (fill_type == PATTERN) { + fragColor = finalColor; + fragColor.a = min(text_color.a, finalColor.a) * layer_opacity; + } + } + + /* set zdepth */ + if (xraymode == GP_XRAY_FRONT) { + gl_FragDepth = 0.000001; + } + else if (xraymode == GP_XRAY_3DSPACE) { + /* if 3D mode, move slightly the fill to avoid z-fighting between stroke and fill on same stroke */ + if (drawmode == GP_DRAWMODE_3D) { + gl_FragDepth = gl_FragCoord.z * 1.0001; + } + else { + gl_FragDepth = gl_FragCoord.z; + } + } + else { + gl_FragDepth = 0.000001; + } + + /* if wireframe override colors */ + if (shading_type[0] == OB_WIRE) { + fragColor = wire_color; + } + + /* for solid override color */ + if (shading_type[0] == OB_SOLID) { + if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && + (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { + fragColor = wire_color; + } + if (viewport_xray == 1) { + fragColor.a *= 0.5; + } + } } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_fill_vert.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_fill_vert.glsl index 52da354a562..d71f57eb98c 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_fill_vert.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_fill_vert.glsl @@ -8,7 +8,7 @@ out vec2 texCoord_interp; void main(void) { - gl_Position = ModelViewProjectionMatrix * vec4( pos, 1.0 ); - finalColor = color; - texCoord_interp = texCoord; + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + finalColor = color; + texCoord_interp = texCoord; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_paper_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_paper_frag.glsl index c2e3f787bec..3c1424f98ff 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_paper_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_paper_frag.glsl @@ -5,5 +5,5 @@ out vec4 FragColor; void main() { - FragColor = vec4(color, opacity); + FragColor = vec4(color, opacity); } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_point_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_point_frag.glsl index ca8c888fe21..c8af822bc9e 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_point_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_point_frag.glsl @@ -11,62 +11,62 @@ out vec4 fragColor; #define texture2D texture -#define GPENCIL_MODE_LINE 0 -#define GPENCIL_MODE_DOTS 1 -#define GPENCIL_MODE_BOX 2 +#define GPENCIL_MODE_LINE 0 +#define GPENCIL_MODE_DOTS 1 +#define GPENCIL_MODE_BOX 2 /* keep this list synchronized with list in gpencil_engine.h */ -#define GPENCIL_COLOR_SOLID 0 +#define GPENCIL_COLOR_SOLID 0 #define GPENCIL_COLOR_TEXTURE 1 #define GPENCIL_COLOR_PATTERN 2 /* Function to check the point inside ellipse */ -float checkpoint(vec2 pt, vec2 radius) -{ - float p = (pow(pt.x, 2) / pow(radius.x, 2)) + (pow(pt.y, 2) / pow(radius.y, 2)); - - return p; -} +float checkpoint(vec2 pt, vec2 radius) +{ + float p = (pow(pt.x, 2) / pow(radius.x, 2)) + (pow(pt.y, 2) / pow(radius.y, 2)); + + return p; +} void main() { - vec2 centered = mTexCoord - vec2(0.5); - float ellip = checkpoint(centered, vec2(gradient_s / 2.0)); + vec2 centered = mTexCoord - vec2(0.5); + float ellip = checkpoint(centered, vec2(gradient_s / 2.0)); + + if (mode != GPENCIL_MODE_BOX) { + if (ellip > 1.0) { + discard; + } + } + + vec4 tmp_color = texture2D(myTexture, mTexCoord); - if (mode != GPENCIL_MODE_BOX) { - if (ellip > 1.0) { - discard; - } - } + /* Solid */ + if (color_type == GPENCIL_COLOR_SOLID) { + fragColor = mColor; + } + /* texture */ + if (color_type == GPENCIL_COLOR_TEXTURE) { + fragColor = texture2D(myTexture, mTexCoord); + /* mult both alpha factor to use strength factor with texture */ + fragColor.a = min(fragColor.a * mColor.a, fragColor.a); + } + /* pattern */ + if (color_type == GPENCIL_COLOR_PATTERN) { + vec4 text_color = texture2D(myTexture, mTexCoord); + fragColor = mColor; + /* mult both alpha factor to use strength factor with color alpha limit */ + fragColor.a = min(text_color.a * mColor.a, mColor.a); + } - vec4 tmp_color = texture2D(myTexture, mTexCoord); + if ((mode == GPENCIL_MODE_DOTS) && (gradient_f < 1.0)) { + float dist = length(centered) * 2; + float decay = dist * (1.0 - gradient_f) * fragColor.a; + fragColor.a = clamp(fragColor.a - decay, 0.0, 1.0); + fragColor.a = fragColor.a * (1.0 - ellip); + } - /* Solid */ - if (color_type == GPENCIL_COLOR_SOLID) { - fragColor = mColor; - } - /* texture */ - if (color_type == GPENCIL_COLOR_TEXTURE) { - fragColor = texture2D(myTexture, mTexCoord); - /* mult both alpha factor to use strength factor with texture */ - fragColor.a = min(fragColor.a * mColor.a, fragColor.a); - } - /* pattern */ - if (color_type == GPENCIL_COLOR_PATTERN) { - vec4 text_color = texture2D(myTexture, mTexCoord); - fragColor = mColor; - /* mult both alpha factor to use strength factor with color alpha limit */ - fragColor.a = min(text_color.a * mColor.a, mColor.a); - } - - if ((mode == GPENCIL_MODE_DOTS) && (gradient_f < 1.0)) { - float dist = length(centered) * 2; - float decay = dist * (1.0 - gradient_f) * fragColor.a; - fragColor.a = clamp(fragColor.a - decay, 0.0, 1.0); - fragColor.a = fragColor.a * (1.0 - ellip); - } - - if(fragColor.a < 0.0035) { - discard; - } + if (fragColor.a < 0.0035) { + discard; + } } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_point_geom.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_point_geom.glsl index 32aaa057298..2fb48ac5147 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_point_geom.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_point_geom.glsl @@ -17,124 +17,124 @@ out vec2 mTexCoord; #define GP_XRAY_FRONT 0 #define GP_XRAY_3DSPACE 1 -#define M_PI 3.14159265358979323846 /* pi */ -#define M_2PI 6.28318530717958647692 /* 2*pi */ -#define FALSE 0 +#define M_PI 3.14159265358979323846 /* pi */ +#define M_2PI 6.28318530717958647692 /* 2*pi */ +#define FALSE 0 /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - return vec2(vertex.xy / vertex.w) * Viewport; + return vec2(vertex.xy / vertex.w) * Viewport; } /* get zdepth value */ float getZdepth(vec4 point) { - if (xraymode == GP_XRAY_FRONT) { - return 0.000001; - } - if (xraymode == GP_XRAY_3DSPACE) { - return (point.z / point.w); - } - - /* in front by default */ - return 0.000001; + if (xraymode == GP_XRAY_FRONT) { + return 0.000001; + } + if (xraymode == GP_XRAY_3DSPACE) { + return (point.z / point.w); + } + + /* in front by default */ + return 0.000001; } vec2 rotateUV(vec2 uv, float angle) { - /* translate center of rotation to the center of texture */ - vec2 new_uv = uv - vec2(0.5f, 0.5f); - vec2 rot_uv; - rot_uv.x = new_uv.x * cos(angle) - new_uv.y * sin(angle); - rot_uv.y = new_uv.y * cos(angle) + new_uv.x * sin(angle); - return rot_uv + vec2(0.5f, 0.5f); + /* translate center of rotation to the center of texture */ + vec2 new_uv = uv - vec2(0.5f, 0.5f); + vec2 rot_uv; + rot_uv.x = new_uv.x * cos(angle) - new_uv.y * sin(angle); + rot_uv.y = new_uv.y * cos(angle) + new_uv.x * sin(angle); + return rot_uv + vec2(0.5f, 0.5f); } vec2 rotatePoint(vec2 center, vec2 point, float angle) { - /* translate center of rotation to the center */ - vec2 new_point = point - center; - vec2 rot_point; - rot_point.x = new_point.x * cos(angle) - new_point.y * sin(angle); - rot_point.y = new_point.y * cos(angle) + new_point.x * sin(angle); - return rot_point + center; + /* translate center of rotation to the center */ + vec2 new_point = point - center; + vec2 rot_point; + rot_point.x = new_point.x * cos(angle) - new_point.y * sin(angle); + rot_point.y = new_point.y * cos(angle) + new_point.x * sin(angle); + return rot_point + center; } /* Calculate angle of the stroke using previous point as reference. * The angle is calculated using the x axis (1, 0) as 0 degrees */ float getAngle(vec2 pt0, vec2 pt1) { - /* do not rotate one point only (no reference to rotate) */ - if (pt0 == pt1) { - return 0.0; - } - - if (use_follow_path == FALSE) { - return 0.0; - } - - /* default horizontal line (x-axis) in screen space */ - vec2 v0 = vec2(1.0, 0.0); - - /* vector of direction */ - vec2 vn = vec2(normalize(pt1 - pt0)); - - /* angle signed (function ported from angle_signed_v2v2) */ - float perp_dot = (v0[1] * vn[0]) - (v0[0] * vn[1]); - float angle = atan(perp_dot, dot(v0, vn)); - - /* get full circle rotation */ - if (angle > 0.0) { - angle = M_PI + (M_PI - angle); - } - else { - angle *= -1.0; - } - - return angle; + /* do not rotate one point only (no reference to rotate) */ + if (pt0 == pt1) { + return 0.0; + } + + if (use_follow_path == FALSE) { + return 0.0; + } + + /* default horizontal line (x-axis) in screen space */ + vec2 v0 = vec2(1.0, 0.0); + + /* vector of direction */ + vec2 vn = vec2(normalize(pt1 - pt0)); + + /* angle signed (function ported from angle_signed_v2v2) */ + float perp_dot = (v0[1] * vn[0]) - (v0[0] * vn[1]); + float angle = atan(perp_dot, dot(v0, vn)); + + /* get full circle rotation */ + if (angle > 0.0) { + angle = M_PI + (M_PI - angle); + } + else { + angle *= -1.0; + } + + return angle; } void main(void) { - /* receive points */ - vec4 P0 = gl_in[0].gl_Position; - vec2 sp0 = toScreenSpace(P0); - - vec4 P1 = finalprev_pos[0]; - vec2 sp1 = toScreenSpace(P1); - vec2 point; - - float size = finalThickness[0]; - vec2 center = vec2(sp0.x, sp0.y); - - /* get angle of stroke to rotate texture */ - float angle = getAngle(sp0, sp1); - - /* generate the triangle strip */ - mTexCoord = rotateUV(vec2(0, 1), finaluvdata[0].y); - mColor = finalColor[0]; - point = rotatePoint(center, vec2(sp0.x - size, sp0.y + size), angle); - gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); - EmitVertex(); - - mTexCoord = rotateUV(vec2(0, 0), finaluvdata[0].y); - mColor = finalColor[0]; - point = rotatePoint(center, vec2(sp0.x - size, sp0.y - size), angle); - gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); - EmitVertex(); - - mTexCoord = rotateUV(vec2(1, 1), finaluvdata[0].y); - mColor = finalColor[0]; - point = rotatePoint(center, vec2(sp0.x + size, sp0.y + size), angle); - gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); - EmitVertex(); - - mTexCoord = rotateUV(vec2(1, 0), finaluvdata[0].y); - mColor = finalColor[0]; - point = rotatePoint(center, vec2(sp0.x + size, sp0.y - size), angle); - gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); - EmitVertex(); - - EndPrimitive(); + /* receive points */ + vec4 P0 = gl_in[0].gl_Position; + vec2 sp0 = toScreenSpace(P0); + + vec4 P1 = finalprev_pos[0]; + vec2 sp1 = toScreenSpace(P1); + vec2 point; + + float size = finalThickness[0]; + vec2 center = vec2(sp0.x, sp0.y); + + /* get angle of stroke to rotate texture */ + float angle = getAngle(sp0, sp1); + + /* generate the triangle strip */ + mTexCoord = rotateUV(vec2(0, 1), finaluvdata[0].y); + mColor = finalColor[0]; + point = rotatePoint(center, vec2(sp0.x - size, sp0.y + size), angle); + gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); + EmitVertex(); + + mTexCoord = rotateUV(vec2(0, 0), finaluvdata[0].y); + mColor = finalColor[0]; + point = rotatePoint(center, vec2(sp0.x - size, sp0.y - size), angle); + gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); + EmitVertex(); + + mTexCoord = rotateUV(vec2(1, 1), finaluvdata[0].y); + mColor = finalColor[0]; + point = rotatePoint(center, vec2(sp0.x + size, sp0.y + size), angle); + gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); + EmitVertex(); + + mTexCoord = rotateUV(vec2(1, 0), finaluvdata[0].y); + mColor = finalColor[0]; + point = rotatePoint(center, vec2(sp0.x + size, sp0.y - size), angle); + gl_Position = vec4(point / Viewport, getZdepth(P0), 1.0); + EmitVertex(); + + EndPrimitive(); } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_point_vert.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_point_vert.glsl index 7deca544176..92c9acf1f2a 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_point_vert.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_point_vert.glsl @@ -1,7 +1,7 @@ uniform mat4 ModelViewProjectionMatrix; uniform mat4 ProjectionMatrix; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform int keep_size; uniform float objscale; uniform float pixfactor; @@ -22,42 +22,44 @@ out vec4 finalprev_pos; #define TRUE 1 -#define OB_WIRE 2 +#define OB_WIRE 2 #define OB_SOLID 3 -#define V3D_SHADING_MATERIAL_COLOR 0 -#define V3D_SHADING_TEXTURE_COLOR 3 +#define V3D_SHADING_MATERIAL_COLOR 0 +#define V3D_SHADING_TEXTURE_COLOR 3 float defaultpixsize = pixsize * (1000.0 / pixfactor); void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - finalprev_pos = ModelViewProjectionMatrix * vec4(prev_pos, 1.0); - finalColor = color; - - if (keep_size == TRUE) { - finalThickness = thickness; - } - else { - float size = (ProjectionMatrix[3][3] == 0.0) ? (thickness / (gl_Position.z * defaultpixsize)) : (thickness / defaultpixsize); - finalThickness = max(size * objscale, 4.0); /* minimum 4 pixels */ - } - - /* for wireframe override size and color */ - if (shading_type[0] == OB_WIRE) { - finalThickness = 2.0; - finalColor = wire_color; - } - /* for solid override color */ - if (shading_type[0] == OB_SOLID) { - if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { - finalColor = wire_color; - } - if (viewport_xray == 1) { - finalColor.a *= 0.5; - } - } - - finaluvdata = uvdata; + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + finalprev_pos = ModelViewProjectionMatrix * vec4(prev_pos, 1.0); + finalColor = color; + + if (keep_size == TRUE) { + finalThickness = thickness; + } + else { + float size = (ProjectionMatrix[3][3] == 0.0) ? (thickness / (gl_Position.z * defaultpixsize)) : + (thickness / defaultpixsize); + finalThickness = max(size * objscale, 4.0); /* minimum 4 pixels */ + } + + /* for wireframe override size and color */ + if (shading_type[0] == OB_WIRE) { + finalThickness = 2.0; + finalColor = wire_color; + } + /* for solid override color */ + if (shading_type[0] == OB_SOLID) { + if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && + (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { + finalColor = wire_color; + } + if (viewport_xray == 1) { + finalColor.a *= 0.5; + } + } + + finaluvdata = uvdata; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_simple_mix_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_simple_mix_frag.glsl index dd54e38c3d0..2f4429a858f 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_simple_mix_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_simple_mix_frag.glsl @@ -6,10 +6,10 @@ uniform sampler2D strokeColor; uniform sampler2D strokeDepth; void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv, 0).r; - vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; + ivec2 uv = ivec2(gl_FragCoord.xy); + float stroke_depth = texelFetch(strokeDepth, uv, 0).r; + vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; - FragColor = stroke_color; - gl_FragDepth = stroke_depth; + FragColor = stroke_color; + gl_FragDepth = stroke_depth; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_frag.glsl index a49a6e84f17..35d07306361 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_frag.glsl @@ -12,7 +12,7 @@ out vec4 fragColor; #define texture2D texture /* keep this list synchronized with list in gpencil_engine.h */ -#define GPENCIL_COLOR_SOLID 0 +#define GPENCIL_COLOR_SOLID 0 #define GPENCIL_COLOR_TEXTURE 1 #define GPENCIL_COLOR_PATTERN 2 @@ -20,53 +20,53 @@ out vec4 fragColor; void main() { - - vec4 tColor = vec4(mColor); - /* if uvfac[1] == 1, then encap */ - if (uvfac[1] == ENDCAP) { - vec2 center = vec2(uvfac[0], 0.5); - float dist = length(mTexCoord - center); - if (dist > 0.50) { - discard; - } - } - /* Solid */ - if (color_type == GPENCIL_COLOR_SOLID) { - fragColor = tColor; - } - /* texture for endcaps */ - vec4 text_color; - if (uvfac[1] == ENDCAP) { - text_color = texture2D(myTexture, vec2(mTexCoord.x, mTexCoord.y)); - } - else { - text_color = texture2D(myTexture, mTexCoord); - } + vec4 tColor = vec4(mColor); + /* if uvfac[1] == 1, then encap */ + if (uvfac[1] == ENDCAP) { + vec2 center = vec2(uvfac[0], 0.5); + float dist = length(mTexCoord - center); + if (dist > 0.50) { + discard; + } + } + /* Solid */ + if (color_type == GPENCIL_COLOR_SOLID) { + fragColor = tColor; + } - /* texture */ - if (color_type == GPENCIL_COLOR_TEXTURE) { - fragColor = text_color; - /* mult both alpha factor to use strength factor */ - fragColor.a = min(fragColor.a * tColor.a, fragColor.a); - } - /* pattern */ - if (color_type == GPENCIL_COLOR_PATTERN) { - fragColor = tColor; - /* mult both alpha factor to use strength factor with color alpha limit */ - fragColor.a = min(text_color.a * tColor.a, tColor.a); - } + /* texture for endcaps */ + vec4 text_color; + if (uvfac[1] == ENDCAP) { + text_color = texture2D(myTexture, vec2(mTexCoord.x, mTexCoord.y)); + } + else { + text_color = texture2D(myTexture, mTexCoord); + } - /* gradient */ - /* keep this disabled while the line glitch bug exists - if (gradient_f < 1.0) { - float d = abs(mTexCoord.y - 0.5) * (1.1 - gradient_f); - float alpha = 1.0 - clamp((fragColor.a - (d * 2.0)), 0.03, 1.0); - fragColor.a = smoothstep(fragColor.a, 0.0, alpha); - - } - */ + /* texture */ + if (color_type == GPENCIL_COLOR_TEXTURE) { + fragColor = text_color; + /* mult both alpha factor to use strength factor */ + fragColor.a = min(fragColor.a * tColor.a, fragColor.a); + } + /* pattern */ + if (color_type == GPENCIL_COLOR_PATTERN) { + fragColor = tColor; + /* mult both alpha factor to use strength factor with color alpha limit */ + fragColor.a = min(text_color.a * tColor.a, tColor.a); + } - if(fragColor.a < 0.0035) - discard; + /* gradient */ + /* keep this disabled while the line glitch bug exists + if (gradient_f < 1.0) { + float d = abs(mTexCoord.y - 0.5) * (1.1 - gradient_f); + float alpha = 1.0 - clamp((fragColor.a - (d * 2.0)), 0.03, 1.0); + fragColor.a = smoothstep(fragColor.a, 0.0, alpha); + + } + */ + + if (fragColor.a < 0.0035) + discard; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_geom.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_geom.glsl index aa38ff26a62..7e62d6f0d64 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_geom.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_geom.glsl @@ -19,7 +19,7 @@ out vec2 uvfac; #define GP_XRAY_3DSPACE 1 /* keep this list synchronized with list in gpencil_engine.h */ -#define GPENCIL_COLOR_SOLID 0 +#define GPENCIL_COLOR_SOLID 0 #define GPENCIL_COLOR_TEXTURE 1 #define GPENCIL_COLOR_PATTERN 2 @@ -28,222 +28,229 @@ out vec2 uvfac; /* project 3d point to 2d on screen space */ vec2 toScreenSpace(vec4 vertex) { - return vec2(vertex.xy / vertex.w) * Viewport; + return vec2(vertex.xy / vertex.w) * Viewport; } /* get zdepth value */ float getZdepth(vec4 point) { - if (xraymode == GP_XRAY_FRONT) { - return 0.000001; - } - if (xraymode == GP_XRAY_3DSPACE) { - return (point.z / point.w); - } - - /* in front by default */ - return 0.000001; + if (xraymode == GP_XRAY_FRONT) { + return 0.000001; + } + if (xraymode == GP_XRAY_3DSPACE) { + return (point.z / point.w); + } + + /* in front by default */ + return 0.000001; } /* check equality but with a small tolerance */ bool is_equal(vec4 p1, vec4 p2) { - float limit = 0.0001; - float x = abs(p1.x - p2.x); - float y = abs(p1.y - p2.y); - float z = abs(p1.z - p2.z); + float limit = 0.0001; + float x = abs(p1.x - p2.x); + float y = abs(p1.y - p2.y); + float z = abs(p1.z - p2.z); - if ((x < limit) && (y < limit) && (z < limit)) { - return true; - } + if ((x < limit) && (y < limit) && (z < limit)) { + return true; + } - return false; + return false; } void main(void) { - float MiterLimit = 0.75; - uvfac = vec2(0.0, 0.0); - - /* receive 4 points */ - vec4 P0 = gl_in[0].gl_Position; - vec4 P1 = gl_in[1].gl_Position; - vec4 P2 = gl_in[2].gl_Position; - vec4 P3 = gl_in[3].gl_Position; - - /* get the four vertices passed to the shader */ - vec2 sp0 = toScreenSpace(P0); // start of previous segment - vec2 sp1 = toScreenSpace(P1); // end of previous segment, start of current segment - vec2 sp2 = toScreenSpace(P2); // end of current segment, start of next segment - vec2 sp3 = toScreenSpace(P3); // end of next segment - - /* culling outside viewport */ - vec2 area = Viewport * 4.0; - if (sp1.x < -area.x || sp1.x > area.x) return; - if (sp1.y < -area.y || sp1.y > area.y) return; - if (sp2.x < -area.x || sp2.x > area.x) return; - if (sp2.y < -area.y || sp2.y > area.y) return; - - /* culling behind camera */ - if (P1.w < 0 || P2.w < 0) return; - - /* determine the direction of each of the 3 segments (previous, current, next) */ - vec2 v0 = normalize(sp1 - sp0); - vec2 v1 = normalize(sp2 - sp1); - vec2 v2 = normalize(sp3 - sp2); - - /* determine the normal of each of the 3 segments (previous, current, next) */ - vec2 n0 = vec2(-v0.y, v0.x); - vec2 n1 = vec2(-v1.y, v1.x); - vec2 n2 = vec2(-v2.y, v2.x); - - /* determine miter lines by averaging the normals of the 2 segments */ - vec2 miter_a = normalize(n0 + n1); // miter at start of current segment - vec2 miter_b = normalize(n1 + n2); // miter at end of current segment - - /* determine the length of the miter by projecting it onto normal and then inverse it */ - float an1 = dot(miter_a, n1); - float bn1 = dot(miter_b, n2); - if (an1 == 0) an1 = 1; - if (bn1 == 0) bn1 = 1; - float length_a = finalThickness[1] / an1; - float length_b = finalThickness[2] / bn1; - if (length_a <= 0.0) length_a = 0.01; - if (length_b <= 0.0) length_b = 0.01; - - /* prevent excessively long miters at sharp corners */ - if (dot(v0, v1) < -MiterLimit) { - miter_a = n1; - length_a = finalThickness[1]; - - /* close the gap */ - if (dot(v0, n1) > 0) { - mTexCoord = vec2(0, 0); - mColor = finalColor[1]; - gl_Position = vec4((sp1 + finalThickness[1] * n0) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0, 0); - mColor = finalColor[1]; - gl_Position = vec4((sp1 + finalThickness[1] * n1) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0, 0.5); - mColor = finalColor[1]; - gl_Position = vec4(sp1 / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - EndPrimitive(); - } - else { - mTexCoord = vec2(0, 1); - mColor = finalColor[1]; - gl_Position = vec4((sp1 - finalThickness[1] * n1) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0, 1); - mColor = finalColor[1]; - gl_Position = vec4((sp1 - finalThickness[1] * n0) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0, 0.5); - mColor = finalColor[1]; - gl_Position = vec4(sp1 / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - EndPrimitive(); - } - } - - if (dot(v1, v2) < -MiterLimit) { - miter_b = n1; - length_b = finalThickness[2]; - } - - /* generate the start endcap */ - if ((caps_mode[0] != GPENCIL_FLATCAP) && is_equal(P0,P2)) - { - vec4 cap_color = finalColor[1]; - - mTexCoord = vec2(2.0, 0.5); - mColor = cap_color; - vec2 svn1 = normalize(sp1 - sp2) * length_a * 4.0; - uvfac = vec2(0.0, 1.0); - gl_Position = vec4((sp1 + svn1) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0.0, -0.5); - mColor = cap_color; - uvfac = vec2(0.0, 1.0); - gl_Position = vec4((sp1 - (length_a * 2.0) * miter_a) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = vec2(0.0, 1.5); - mColor = cap_color; - uvfac = vec2(0.0, 1.0); - gl_Position = vec4((sp1 + (length_a * 2.0) * miter_a) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - } - - float y_a = 0.0; - float y_b = 1.0; - - /* invert uv (vertical) */ - if (finaluvdata[2].x > 1.0) { - if ((finaluvdata[1].y != 0.0) && (finaluvdata[2].y != 0.0)) { - float d = ceil(finaluvdata[2].x) - 1.0; - if (floor(d / 2.0) == (d / 2.0)) { - y_a = 1.0; - y_b = 0.0; - } - } - } - /* generate the triangle strip */ - uvfac = vec2(0.0, 0.0); - mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(0, 0) : vec2(finaluvdata[1].x, y_a); - mColor = finalColor[1]; - gl_Position = vec4((sp1 + length_a * miter_a) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(0, 1) : vec2(finaluvdata[1].x, y_b); - mColor = finalColor[1]; - gl_Position = vec4((sp1 - length_a * miter_a) / Viewport, getZdepth(P1), 1.0); - EmitVertex(); - - mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(1, 0) : vec2(finaluvdata[2].x, y_a); - mColor = finalColor[2]; - gl_Position = vec4((sp2 + length_b * miter_b) / Viewport, getZdepth(P2), 1.0); - EmitVertex(); - - mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(1, 1) : vec2(finaluvdata[2].x, y_b); - mColor = finalColor[2]; - gl_Position = vec4((sp2 - length_b * miter_b) / Viewport, getZdepth(P2), 1.0); - EmitVertex(); - - /* generate the end endcap */ - if ((caps_mode[1] != GPENCIL_FLATCAP) && is_equal(P1,P3) && (finaluvdata[2].x > 0)) - { - vec4 cap_color = finalColor[2]; - - mTexCoord = vec2(finaluvdata[2].x, 1.5); - mColor = cap_color; - uvfac = vec2(finaluvdata[2].x, 1.0); - gl_Position = vec4((sp2 + (length_b * 2.0) * miter_b) / Viewport, getZdepth(P2), 1.0); - EmitVertex(); - - mTexCoord = vec2(finaluvdata[2].x, -0.5); - mColor = cap_color; - uvfac = vec2(finaluvdata[2].x, 1.0); - gl_Position = vec4((sp2 - (length_b * 2.0) * miter_b) / Viewport, getZdepth(P2), 1.0); - EmitVertex(); - - mTexCoord = vec2(finaluvdata[2].x + 2, 0.5); - mColor = cap_color; - uvfac = vec2(finaluvdata[2].x, 1.0); - vec2 svn2 = normalize(sp2 - sp1) * length_b * 4.0; - gl_Position = vec4((sp2 + svn2) / Viewport, getZdepth(P2), 1.0); - EmitVertex(); - } - - EndPrimitive(); + float MiterLimit = 0.75; + uvfac = vec2(0.0, 0.0); + + /* receive 4 points */ + vec4 P0 = gl_in[0].gl_Position; + vec4 P1 = gl_in[1].gl_Position; + vec4 P2 = gl_in[2].gl_Position; + vec4 P3 = gl_in[3].gl_Position; + + /* get the four vertices passed to the shader */ + vec2 sp0 = toScreenSpace(P0); // start of previous segment + vec2 sp1 = toScreenSpace(P1); // end of previous segment, start of current segment + vec2 sp2 = toScreenSpace(P2); // end of current segment, start of next segment + vec2 sp3 = toScreenSpace(P3); // end of next segment + + /* culling outside viewport */ + vec2 area = Viewport * 4.0; + if (sp1.x < -area.x || sp1.x > area.x) + return; + if (sp1.y < -area.y || sp1.y > area.y) + return; + if (sp2.x < -area.x || sp2.x > area.x) + return; + if (sp2.y < -area.y || sp2.y > area.y) + return; + + /* culling behind camera */ + if (P1.w < 0 || P2.w < 0) + return; + + /* determine the direction of each of the 3 segments (previous, current, next) */ + vec2 v0 = normalize(sp1 - sp0); + vec2 v1 = normalize(sp2 - sp1); + vec2 v2 = normalize(sp3 - sp2); + + /* determine the normal of each of the 3 segments (previous, current, next) */ + vec2 n0 = vec2(-v0.y, v0.x); + vec2 n1 = vec2(-v1.y, v1.x); + vec2 n2 = vec2(-v2.y, v2.x); + + /* determine miter lines by averaging the normals of the 2 segments */ + vec2 miter_a = normalize(n0 + n1); // miter at start of current segment + vec2 miter_b = normalize(n1 + n2); // miter at end of current segment + + /* determine the length of the miter by projecting it onto normal and then inverse it */ + float an1 = dot(miter_a, n1); + float bn1 = dot(miter_b, n2); + if (an1 == 0) + an1 = 1; + if (bn1 == 0) + bn1 = 1; + float length_a = finalThickness[1] / an1; + float length_b = finalThickness[2] / bn1; + if (length_a <= 0.0) + length_a = 0.01; + if (length_b <= 0.0) + length_b = 0.01; + + /* prevent excessively long miters at sharp corners */ + if (dot(v0, v1) < -MiterLimit) { + miter_a = n1; + length_a = finalThickness[1]; + + /* close the gap */ + if (dot(v0, n1) > 0) { + mTexCoord = vec2(0, 0); + mColor = finalColor[1]; + gl_Position = vec4((sp1 + finalThickness[1] * n0) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0, 0); + mColor = finalColor[1]; + gl_Position = vec4((sp1 + finalThickness[1] * n1) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0, 0.5); + mColor = finalColor[1]; + gl_Position = vec4(sp1 / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + EndPrimitive(); + } + else { + mTexCoord = vec2(0, 1); + mColor = finalColor[1]; + gl_Position = vec4((sp1 - finalThickness[1] * n1) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0, 1); + mColor = finalColor[1]; + gl_Position = vec4((sp1 - finalThickness[1] * n0) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0, 0.5); + mColor = finalColor[1]; + gl_Position = vec4(sp1 / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + EndPrimitive(); + } + } + + if (dot(v1, v2) < -MiterLimit) { + miter_b = n1; + length_b = finalThickness[2]; + } + + /* generate the start endcap */ + if ((caps_mode[0] != GPENCIL_FLATCAP) && is_equal(P0, P2)) { + vec4 cap_color = finalColor[1]; + + mTexCoord = vec2(2.0, 0.5); + mColor = cap_color; + vec2 svn1 = normalize(sp1 - sp2) * length_a * 4.0; + uvfac = vec2(0.0, 1.0); + gl_Position = vec4((sp1 + svn1) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0.0, -0.5); + mColor = cap_color; + uvfac = vec2(0.0, 1.0); + gl_Position = vec4((sp1 - (length_a * 2.0) * miter_a) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = vec2(0.0, 1.5); + mColor = cap_color; + uvfac = vec2(0.0, 1.0); + gl_Position = vec4((sp1 + (length_a * 2.0) * miter_a) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + } + + float y_a = 0.0; + float y_b = 1.0; + + /* invert uv (vertical) */ + if (finaluvdata[2].x > 1.0) { + if ((finaluvdata[1].y != 0.0) && (finaluvdata[2].y != 0.0)) { + float d = ceil(finaluvdata[2].x) - 1.0; + if (floor(d / 2.0) == (d / 2.0)) { + y_a = 1.0; + y_b = 0.0; + } + } + } + /* generate the triangle strip */ + uvfac = vec2(0.0, 0.0); + mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(0, 0) : vec2(finaluvdata[1].x, y_a); + mColor = finalColor[1]; + gl_Position = vec4((sp1 + length_a * miter_a) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(0, 1) : vec2(finaluvdata[1].x, y_b); + mColor = finalColor[1]; + gl_Position = vec4((sp1 - length_a * miter_a) / Viewport, getZdepth(P1), 1.0); + EmitVertex(); + + mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(1, 0) : vec2(finaluvdata[2].x, y_a); + mColor = finalColor[2]; + gl_Position = vec4((sp2 + length_b * miter_b) / Viewport, getZdepth(P2), 1.0); + EmitVertex(); + + mTexCoord = (color_type == GPENCIL_COLOR_SOLID) ? vec2(1, 1) : vec2(finaluvdata[2].x, y_b); + mColor = finalColor[2]; + gl_Position = vec4((sp2 - length_b * miter_b) / Viewport, getZdepth(P2), 1.0); + EmitVertex(); + + /* generate the end endcap */ + if ((caps_mode[1] != GPENCIL_FLATCAP) && is_equal(P1, P3) && (finaluvdata[2].x > 0)) { + vec4 cap_color = finalColor[2]; + + mTexCoord = vec2(finaluvdata[2].x, 1.5); + mColor = cap_color; + uvfac = vec2(finaluvdata[2].x, 1.0); + gl_Position = vec4((sp2 + (length_b * 2.0) * miter_b) / Viewport, getZdepth(P2), 1.0); + EmitVertex(); + + mTexCoord = vec2(finaluvdata[2].x, -0.5); + mColor = cap_color; + uvfac = vec2(finaluvdata[2].x, 1.0); + gl_Position = vec4((sp2 - (length_b * 2.0) * miter_b) / Viewport, getZdepth(P2), 1.0); + EmitVertex(); + + mTexCoord = vec2(finaluvdata[2].x + 2, 0.5); + mColor = cap_color; + uvfac = vec2(finaluvdata[2].x, 1.0); + vec2 svn2 = normalize(sp2 - sp1) * length_b * 4.0; + gl_Position = vec4((sp2 + svn2) / Viewport, getZdepth(P2), 1.0); + EmitVertex(); + } + + EndPrimitive(); } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_vert.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_vert.glsl index 62740f37ae8..946b39c006a 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_vert.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_stroke_vert.glsl @@ -1,7 +1,7 @@ uniform mat4 ModelViewProjectionMatrix; uniform mat4 ProjectionMatrix; -uniform float pixsize; /* rv3d->pixsize */ +uniform float pixsize; /* rv3d->pixsize */ uniform int keep_size; uniform float objscale; uniform float pixfactor; @@ -20,41 +20,43 @@ out vec2 finaluvdata; #define TRUE 1 -#define OB_WIRE 2 +#define OB_WIRE 2 #define OB_SOLID 3 -#define V3D_SHADING_MATERIAL_COLOR 0 -#define V3D_SHADING_TEXTURE_COLOR 3 +#define V3D_SHADING_MATERIAL_COLOR 0 +#define V3D_SHADING_TEXTURE_COLOR 3 float defaultpixsize = pixsize * (1000.0 / pixfactor); void main(void) { - gl_Position = ModelViewProjectionMatrix * vec4( pos, 1.0 ); - finalColor = color; - - if (keep_size == TRUE) { - finalThickness = thickness; - } - else { - float size = (ProjectionMatrix[3][3] == 0.0) ? (thickness / (gl_Position.z * defaultpixsize)) : (thickness / defaultpixsize); - finalThickness = max(size * objscale, 1.0); - } - - /* for wireframe override size and color */ - if (shading_type[0] == OB_WIRE) { - finalThickness = 1.0; - finalColor = wire_color; - } - /* for solid override color */ - if (shading_type[0] == OB_SOLID) { - if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { - finalColor = wire_color; - } - if (viewport_xray == 1) { - finalColor.a *= 0.5; - } - } - - finaluvdata = uvdata; + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + finalColor = color; + + if (keep_size == TRUE) { + finalThickness = thickness; + } + else { + float size = (ProjectionMatrix[3][3] == 0.0) ? (thickness / (gl_Position.z * defaultpixsize)) : + (thickness / defaultpixsize); + finalThickness = max(size * objscale, 1.0); + } + + /* for wireframe override size and color */ + if (shading_type[0] == OB_WIRE) { + finalThickness = 1.0; + finalColor = wire_color; + } + /* for solid override color */ + if (shading_type[0] == OB_SOLID) { + if ((shading_type[1] != V3D_SHADING_MATERIAL_COLOR) && + (shading_type[1] != V3D_SHADING_TEXTURE_COLOR)) { + finalColor = wire_color; + } + if (viewport_xray == 1) { + finalColor.a *= 0.5; + } + } + + finaluvdata = uvdata; } diff --git a/source/blender/draw/engines/gpencil/shaders/gpencil_zdepth_mix_frag.glsl b/source/blender/draw/engines/gpencil/shaders/gpencil_zdepth_mix_frag.glsl index a32fd87a446..be645548402 100644 --- a/source/blender/draw/engines/gpencil/shaders/gpencil_zdepth_mix_frag.glsl +++ b/source/blender/draw/engines/gpencil/shaders/gpencil_zdepth_mix_frag.glsl @@ -10,65 +10,65 @@ uniform int do_select; float srgb_to_linearrgb(float c) { - if (c < 0.04045) { - return (c < 0.0) ? 0.0 : c * (1.0 / 12.92); - } - else { - return pow((c + 0.055) * (1.0 / 1.055), 2.4); - } + if (c < 0.04045) { + return (c < 0.0) ? 0.0 : c * (1.0 / 12.92); + } + else { + return pow((c + 0.055) * (1.0 / 1.055), 2.4); + } } float linearrgb_to_srgb(float c) { - if (c < 0.0031308) { - return (c < 0.0) ? 0.0 : c * 12.92; - } - else { - return 1.055 * pow(c, 1.0 / 2.4) - 0.055; - } + if (c < 0.0031308) { + return (c < 0.0) ? 0.0 : c * 12.92; + } + else { + return 1.055 * pow(c, 1.0 / 2.4) - 0.055; + } } bool check_borders(ivec2 uv, int size) { - for (int x = -size; x <= size; x++) { - for (int y = -size; y <= size; y++) { - vec4 stroke_color = texelFetch(strokeColor, ivec2(uv.x + x, uv.y + y), 0).rgba; - if (stroke_color.a > 0) { - return true; - } - } - } + for (int x = -size; x <= size; x++) { + for (int y = -size; y <= size; y++) { + vec4 stroke_color = texelFetch(strokeColor, ivec2(uv.x + x, uv.y + y), 0).rgba; + if (stroke_color.a > 0) { + return true; + } + } + } - return false; + return false; } void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); - float stroke_depth = texelFetch(strokeDepth, uv, 0).r; - vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; + ivec2 uv = ivec2(gl_FragCoord.xy); + float stroke_depth = texelFetch(strokeDepth, uv, 0).r; + vec4 stroke_color = texelFetch(strokeColor, uv, 0).rgba; - /* premult alpha factor to remove double blend effects */ - if (stroke_color.a > 0) { - stroke_color = vec4(vec3(stroke_color.rgb / stroke_color.a), stroke_color.a); - } + /* premult alpha factor to remove double blend effects */ + if (stroke_color.a > 0) { + stroke_color = vec4(vec3(stroke_color.rgb / stroke_color.a), stroke_color.a); + } - /* apply color correction for render only */ - if (tonemapping == 1) { - stroke_color.r = srgb_to_linearrgb(stroke_color.r); - stroke_color.g = srgb_to_linearrgb(stroke_color.g); - stroke_color.b = srgb_to_linearrgb(stroke_color.b); - } + /* apply color correction for render only */ + if (tonemapping == 1) { + stroke_color.r = srgb_to_linearrgb(stroke_color.r); + stroke_color.g = srgb_to_linearrgb(stroke_color.g); + stroke_color.b = srgb_to_linearrgb(stroke_color.b); + } - FragColor = clamp(stroke_color, 0.0, 1.0); - gl_FragDepth = clamp(stroke_depth, 0.0, 1.0); + FragColor = clamp(stroke_color, 0.0, 1.0); + gl_FragDepth = clamp(stroke_depth, 0.0, 1.0); - if (do_select == 1) { - if (stroke_color.a == 0) { - if (check_borders(uv, 2)) { - FragColor = select_color; - gl_FragDepth = 0.000001; - } - } - } + if (do_select == 1) { + if (stroke_color.a == 0) { + if (check_borders(uv, 2)) { + FragColor = select_color; + gl_FragDepth = 0.000001; + } + } + } } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_background_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_background_lib.glsl index fda2fc85460..a6d7c4b393b 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_background_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_background_lib.glsl @@ -1,3 +1,5 @@ -vec3 background_color(WorldData world_data, float y) { - return mix(world_data.background_color_low, world_data.background_color_high, y).xyz + bayer_dither_noise(); +vec3 background_color(WorldData world_data, float y) +{ + return mix(world_data.background_color_low, world_data.background_color_high, y).xyz + + bayer_dither_noise(); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_cavity_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_cavity_frag.glsl index 769d453bb18..8d66cd7b26c 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_cavity_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_cavity_frag.glsl @@ -14,64 +14,68 @@ uniform vec4 ssao_settings; uniform vec2 curvature_settings; uniform sampler2D ssao_jitter; -layout(std140) uniform samples_block { - vec4 ssao_samples[500]; +layout(std140) uniform samples_block +{ + vec4 ssao_samples[500]; }; -#define ssao_samples_num ssao_params.x -#define jitter_tilling ssao_params.yz -#define ssao_iteration ssao_params.w +#define ssao_samples_num ssao_params.x +#define jitter_tilling ssao_params.yz +#define ssao_iteration ssao_params.w -#define ssao_distance ssao_settings.x -#define ssao_factor_cavity ssao_settings.y -#define ssao_factor_edge ssao_settings.z -#define ssao_attenuation ssao_settings.w +#define ssao_distance ssao_settings.x +#define ssao_factor_cavity ssao_settings.y +#define ssao_factor_edge ssao_settings.z +#define ssao_attenuation ssao_settings.w vec3 get_view_space_from_depth(in vec2 uvcoords, in float depth) { - if (WinMatrix[3][3] == 0.0) { - /* Perspective */ - float d = 2.0 * depth - 1.0; + if (WinMatrix[3][3] == 0.0) { + /* Perspective */ + float d = 2.0 * depth - 1.0; - float zview = -WinMatrix[3][2] / (d + WinMatrix[2][2]); + float zview = -WinMatrix[3][2] / (d + WinMatrix[2][2]); - return zview * (viewvecs[0].xyz + vec3(uvcoords, 0.0) * viewvecs[1].xyz); - } - else { - /* Orthographic */ - vec3 offset = vec3(uvcoords, depth); + return zview * (viewvecs[0].xyz + vec3(uvcoords, 0.0) * viewvecs[1].xyz); + } + else { + /* Orthographic */ + vec3 offset = vec3(uvcoords, depth); - return viewvecs[0].xyz + offset * viewvecs[1].xyz; - } + return viewvecs[0].xyz + offset * viewvecs[1].xyz; + } } /* forward declartion */ -void ssao_factors( - in float depth, in vec3 normal, in vec3 position, in vec2 screenco, - out float cavities, out float edges); - +void ssao_factors(in float depth, + in vec3 normal, + in vec3 position, + in vec2 screenco, + out float cavities, + out float edges); void main() { - vec2 screenco = vec2(gl_FragCoord.xy) * invertedViewportSize; - ivec2 texel = ivec2(gl_FragCoord.xy); + vec2 screenco = vec2(gl_FragCoord.xy) * invertedViewportSize; + ivec2 texel = ivec2(gl_FragCoord.xy); - float cavity = 0.0, edges = 0.0, curvature = 0.0; + float cavity = 0.0, edges = 0.0, curvature = 0.0; #ifdef USE_CAVITY - float depth = texelFetch(depthBuffer, texel, 0).x; - vec3 position = get_view_space_from_depth(screenco, depth); - vec3 normal_viewport = workbench_normal_decode(texelFetch(normalBuffer, texel, 0).rg); + float depth = texelFetch(depthBuffer, texel, 0).x; + vec3 position = get_view_space_from_depth(screenco, depth); + vec3 normal_viewport = workbench_normal_decode(texelFetch(normalBuffer, texel, 0).rg); - ssao_factors(depth, normal_viewport, position, screenco, cavity, edges); + ssao_factors(depth, normal_viewport, position, screenco, cavity, edges); #endif #ifdef USE_CURVATURE - curvature = calculate_curvature(objectId, normalBuffer, texel, curvature_settings.x, curvature_settings.y); + curvature = calculate_curvature( + objectId, normalBuffer, texel, curvature_settings.x, curvature_settings.y); #endif - float final_cavity_factor = clamp((1.0 - cavity) * (1.0 + edges) * (1.0 + curvature), 0.0, 4.0); + float final_cavity_factor = clamp((1.0 - cavity) * (1.0 + edges) * (1.0 + curvature), 0.0, 4.0); - /* Using UNORM render target so compress the range. */ - fragColor = vec4(final_cavity_factor / CAVITY_BUFFER_RANGE); + /* Using UNORM render target so compress the range. */ + fragColor = vec4(final_cavity_factor / CAVITY_BUFFER_RANGE); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_cavity_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_cavity_lib.glsl index 998517e2e72..1af786b648c 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_cavity_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_cavity_lib.glsl @@ -3,87 +3,90 @@ /* from The Alchemy screen-space ambient obscurance algorithm * http://graphics.cs.williams.edu/papers/AlchemyHPG11/VV11AlchemyAO.pdf */ -void ssao_factors( - in float depth, in vec3 normal, in vec3 position, in vec2 screenco, - out float cavities, out float edges) +void ssao_factors(in float depth, + in vec3 normal, + in vec3 position, + in vec2 screenco, + out float cavities, + out float edges) { - cavities = edges = 0.0; - /* early out if there is no need for SSAO */ - if (ssao_factor_cavity == 0.0 && ssao_factor_edge == 0.0) { - return; - } - - /* take the normalized ray direction here */ - vec3 noise = texture(ssao_jitter, screenco.xy * jitter_tilling).rgb; - - /* find the offset in screen space by multiplying a point - * in camera space at the depth of the point by the projection matrix. */ - vec2 offset; - float homcoord = WinMatrix[2][3] * position.z + WinMatrix[3][3]; - offset.x = WinMatrix[0][0] * ssao_distance / homcoord; - offset.y = WinMatrix[1][1] * ssao_distance / homcoord; - /* convert from -1.0...1.0 range to 0.0..1.0 for easy use with texture coordinates */ - offset *= 0.5; - - - int num_samples = int(ssao_samples_num); - - /* Note. Putting noise usage here to put some ALU after texture fetch. */ - vec2 rotX = noise.rg; - vec2 rotY = vec2(-rotX.y, rotX.x); - - for (int x = 0; x < num_samples; x++) { - int sample_index = x + (int(ssao_iteration) * num_samples); - if (sample_index > 500) { - continue; - } - /* ssao_samples[x].xy is sample direction (normalized). - * ssao_samples[x].z is sample distance from disk center. */ - - /* Rotate with random direction to get jittered result. */ - vec2 dir_jittered = vec2(dot(ssao_samples[sample_index].xy, rotX), dot(ssao_samples[sample_index].xy, rotY)); - dir_jittered.xy *= ssao_samples[sample_index].z + noise.b; - - vec2 uvcoords = screenco.xy + dir_jittered * offset; - - if (uvcoords.x > 1.0 || uvcoords.x < 0.0 || uvcoords.y > 1.0 || uvcoords.y < 0.0) { - continue; - } - - float depth_new = texture(depthBuffer, uvcoords).r; - - /* Handle Background case */ - bool is_background = (depth_new == 1.0); - - /* This trick provide good edge effect even if no neighboor is found. */ - vec3 pos_new = get_view_space_from_depth(uvcoords, (is_background) ? depth : depth_new); - - if (is_background) { - pos_new.z -= ssao_distance; - } - - vec3 dir = pos_new - position; - float len = length(dir); - float f_cavities = dot(dir, normal); - float f_edge = -f_cavities; - float f_bias = 0.05 * len + 0.0001; - - float attenuation = 1.0 / (len * (1.0 + len * len * ssao_attenuation)); - - /* use minor bias here to avoid self shadowing */ - if (f_cavities > -f_bias) { - cavities += f_cavities * attenuation; - } - - if (f_edge > f_bias) { - edges += f_edge * attenuation; - } - } - - cavities /= ssao_samples_num; - edges /= ssao_samples_num; - - /* don't let cavity wash out the surface appearance */ - cavities = clamp(cavities * ssao_factor_cavity, 0.0, 1.0); - edges = edges * ssao_factor_edge; + cavities = edges = 0.0; + /* early out if there is no need for SSAO */ + if (ssao_factor_cavity == 0.0 && ssao_factor_edge == 0.0) { + return; + } + + /* take the normalized ray direction here */ + vec3 noise = texture(ssao_jitter, screenco.xy * jitter_tilling).rgb; + + /* find the offset in screen space by multiplying a point + * in camera space at the depth of the point by the projection matrix. */ + vec2 offset; + float homcoord = WinMatrix[2][3] * position.z + WinMatrix[3][3]; + offset.x = WinMatrix[0][0] * ssao_distance / homcoord; + offset.y = WinMatrix[1][1] * ssao_distance / homcoord; + /* convert from -1.0...1.0 range to 0.0..1.0 for easy use with texture coordinates */ + offset *= 0.5; + + int num_samples = int(ssao_samples_num); + + /* Note. Putting noise usage here to put some ALU after texture fetch. */ + vec2 rotX = noise.rg; + vec2 rotY = vec2(-rotX.y, rotX.x); + + for (int x = 0; x < num_samples; x++) { + int sample_index = x + (int(ssao_iteration) * num_samples); + if (sample_index > 500) { + continue; + } + /* ssao_samples[x].xy is sample direction (normalized). + * ssao_samples[x].z is sample distance from disk center. */ + + /* Rotate with random direction to get jittered result. */ + vec2 dir_jittered = vec2(dot(ssao_samples[sample_index].xy, rotX), + dot(ssao_samples[sample_index].xy, rotY)); + dir_jittered.xy *= ssao_samples[sample_index].z + noise.b; + + vec2 uvcoords = screenco.xy + dir_jittered * offset; + + if (uvcoords.x > 1.0 || uvcoords.x < 0.0 || uvcoords.y > 1.0 || uvcoords.y < 0.0) { + continue; + } + + float depth_new = texture(depthBuffer, uvcoords).r; + + /* Handle Background case */ + bool is_background = (depth_new == 1.0); + + /* This trick provide good edge effect even if no neighboor is found. */ + vec3 pos_new = get_view_space_from_depth(uvcoords, (is_background) ? depth : depth_new); + + if (is_background) { + pos_new.z -= ssao_distance; + } + + vec3 dir = pos_new - position; + float len = length(dir); + float f_cavities = dot(dir, normal); + float f_edge = -f_cavities; + float f_bias = 0.05 * len + 0.0001; + + float attenuation = 1.0 / (len * (1.0 + len * len * ssao_attenuation)); + + /* use minor bias here to avoid self shadowing */ + if (f_cavities > -f_bias) { + cavities += f_cavities * attenuation; + } + + if (f_edge > f_bias) { + edges += f_edge * attenuation; + } + } + + cavities /= ssao_samples_num; + edges /= ssao_samples_num; + + /* don't let cavity wash out the surface appearance */ + cavities = clamp(cavities * ssao_factor_cavity, 0.0, 1.0); + edges = edges * ssao_factor_edge; } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_checkerboard_depth_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_checkerboard_depth_frag.glsl index 94fa5d51229..c9711e9c7d6 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_checkerboard_depth_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_checkerboard_depth_frag.glsl @@ -1,12 +1,10 @@ /* 4x4 bayer matrix. */ #define P(x) ((x + 0.5) * (1.0 / 16.0)) -const vec4 dither_mat[4] = vec4[4]( - vec4( P(0.0), P(8.0), P(2.0), P(10.0)), - vec4(P(12.0), P(4.0), P(14.0), P(6.0)), - vec4( P(3.0), P(11.0), P(1.0), P(9.0)), - vec4(P(15.0), P(7.0), P(13.0), P(5.0)) -); +const vec4 dither_mat[4] = vec4[4](vec4(P(0.0), P(8.0), P(2.0), P(10.0)), + vec4(P(12.0), P(4.0), P(14.0), P(6.0)), + vec4(P(3.0), P(11.0), P(1.0), P(9.0)), + vec4(P(15.0), P(7.0), P(13.0), P(5.0))); uniform float threshold = 0.5; uniform float offset = 0.0; @@ -20,19 +18,21 @@ uniform float offset = 0.0; void main() { #if NOISE == 0 - ivec2 tx = ivec2(gl_FragCoord.xy) % 4; - float noise = dither_mat[tx.x][tx.y]; + ivec2 tx = ivec2(gl_FragCoord.xy) % 4; + float noise = dither_mat[tx.x][tx.y]; #elif NOISE == 1 - /* Interlieved gradient noise by Jorge Jimenez - * http://www.iryoku.com/next-generation-post-processing-in-call-of-duty-advanced-warfare */ - float noise = fract(offset + 52.9829189 * fract(0.06711056 * gl_FragCoord.x + 0.00583715 * gl_FragCoord.y)); + /* Interlieved gradient noise by Jorge Jimenez + * http://www.iryoku.com/next-generation-post-processing-in-call-of-duty-advanced-warfare */ + float noise = fract( + offset + 52.9829189 * fract(0.06711056 * gl_FragCoord.x + 0.00583715 * gl_FragCoord.y)); #else -#error +# error #endif - if (noise > threshold) { - discard; - } else { - gl_FragDepth = 1.0; - } + if (noise > threshold) { + discard; + } + else { + gl_FragDepth = 1.0; + } } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_common_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_common_lib.glsl index 5f3dbd75b15..c76ad8c1d7b 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_common_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_common_lib.glsl @@ -6,47 +6,46 @@ /* 4x4 bayer matrix prepared for 8bit UNORM precision error. */ #define P(x) (((x + 0.5) * (1.0 / 16.0) - 0.5) * (1.0 / 255.0)) -const vec4 dither_mat4x4[4] = vec4[4]( - vec4( P(0.0), P(8.0), P(2.0), P(10.0)), - vec4(P(12.0), P(4.0), P(14.0), P(6.0)), - vec4( P(3.0), P(11.0), P(1.0), P(9.0)), - vec4(P(15.0), P(7.0), P(13.0), P(5.0)) -); - -float bayer_dither_noise() { - ivec2 tx1 = ivec2(gl_FragCoord.xy) % 4; - ivec2 tx2 = ivec2(gl_FragCoord.xy) % 2; - return dither_mat4x4[tx1.x][tx1.y]; +const vec4 dither_mat4x4[4] = vec4[4](vec4(P(0.0), P(8.0), P(2.0), P(10.0)), + vec4(P(12.0), P(4.0), P(14.0), P(6.0)), + vec4(P(3.0), P(11.0), P(1.0), P(9.0)), + vec4(P(15.0), P(7.0), P(13.0), P(5.0))); + +float bayer_dither_noise() +{ + ivec2 tx1 = ivec2(gl_FragCoord.xy) % 4; + ivec2 tx2 = ivec2(gl_FragCoord.xy) % 2; + return dither_mat4x4[tx1.x][tx1.y]; } #ifdef WORKBENCH_ENCODE_NORMALS -#define WB_Normal vec2 +# define WB_Normal vec2 /* From http://aras-p.info/texts/CompactNormalStorage.html * Using Method #4: Spheremap Transform */ vec3 workbench_normal_decode(WB_Normal enc) { - vec2 fenc = enc.xy * 4.0 - 2.0; - float f = dot(fenc, fenc); - float g = sqrt(1.0 - f / 4.0); - vec3 n; - n.xy = fenc*g; - n.z = 1 - f / 2; - return n; + vec2 fenc = enc.xy * 4.0 - 2.0; + float f = dot(fenc, fenc); + float g = sqrt(1.0 - f / 4.0); + vec3 n; + n.xy = fenc * g; + n.z = 1 - f / 2; + return n; } /* From http://aras-p.info/texts/CompactNormalStorage.html * Using Method #4: Spheremap Transform */ WB_Normal workbench_normal_encode(vec3 n) { - float p = sqrt(n.z * 8.0 + 8.0); - n.xy = clamp(n.xy / p + 0.5, 0.0, 1.0); - return n.xy; + float p = sqrt(n.z * 8.0 + 8.0); + n.xy = clamp(n.xy / p + 0.5, 0.0, 1.0); + return n.xy; } #else -#define WB_Normal vec3 +# define WB_Normal vec3 /* Well just do nothing... */ # define workbench_normal_encode(a) (a) # define workbench_normal_decode(a) (a) @@ -61,113 +60,112 @@ WB_Normal workbench_normal_encode(vec3 n) /* Encode 2 float into 1 with the desired precision. */ float workbench_float_pair_encode(float v1, float v2) { - // const uint total_mask = ~(0xFFFFFFFFu << TOTAL_BITS); - // const uint v1_mask = ~(0xFFFFFFFFu << ROUGHNESS_BITS); - // const uint v2_mask = ~(0xFFFFFFFFu << METALLIC_BITS); - /* Same as above because some compiler are dumb af. and think we use mediump int. */ - const int total_mask = 0xFF; - const int v1_mask = 0x1F; - const int v2_mask = 0x7; - int iv1 = int(v1 * float(v1_mask)); - int iv2 = int(v2 * float(v2_mask)) << int(ROUGHNESS_BITS); - return float(iv1 | iv2) * (1.0 / float(total_mask)); + // const uint total_mask = ~(0xFFFFFFFFu << TOTAL_BITS); + // const uint v1_mask = ~(0xFFFFFFFFu << ROUGHNESS_BITS); + // const uint v2_mask = ~(0xFFFFFFFFu << METALLIC_BITS); + /* Same as above because some compiler are dumb af. and think we use mediump int. */ + const int total_mask = 0xFF; + const int v1_mask = 0x1F; + const int v2_mask = 0x7; + int iv1 = int(v1 * float(v1_mask)); + int iv2 = int(v2 * float(v2_mask)) << int(ROUGHNESS_BITS); + return float(iv1 | iv2) * (1.0 / float(total_mask)); } void workbench_float_pair_decode(float data, out float v1, out float v2) { - // const uint total_mask = ~(0xFFFFFFFFu << TOTAL_BITS); - // const uint v1_mask = ~(0xFFFFFFFFu << ROUGHNESS_BITS); - // const uint v2_mask = ~(0xFFFFFFFFu << METALLIC_BITS); - /* Same as above because some compiler are dumb af. and think we use mediump int. */ - const int total_mask = 0xFF; - const int v1_mask = 0x1F; - const int v2_mask = 0x7; - int idata = int(data * float(total_mask)); - v1 = float(idata & v1_mask) * (1.0 / float(v1_mask)); - v2 = float(idata >> int(ROUGHNESS_BITS)) * (1.0 / float(v2_mask)); + // const uint total_mask = ~(0xFFFFFFFFu << TOTAL_BITS); + // const uint v1_mask = ~(0xFFFFFFFFu << ROUGHNESS_BITS); + // const uint v2_mask = ~(0xFFFFFFFFu << METALLIC_BITS); + /* Same as above because some compiler are dumb af. and think we use mediump int. */ + const int total_mask = 0xFF; + const int v1_mask = 0x1F; + const int v2_mask = 0x7; + int idata = int(data * float(total_mask)); + v1 = float(idata & v1_mask) * (1.0 / float(v1_mask)); + v2 = float(idata >> int(ROUGHNESS_BITS)) * (1.0 / float(v2_mask)); } float calculate_transparent_weight(float z, float alpha) { #if 0 - /* Eq 10 : Good for surfaces with varying opacity (like particles) */ - float a = min(1.0, alpha * 10.0) + 0.01; - float b = -gl_FragCoord.z * 0.95 + 1.0; - float w = a * a * a * 3e2 * b * b * b; + /* Eq 10 : Good for surfaces with varying opacity (like particles) */ + float a = min(1.0, alpha * 10.0) + 0.01; + float b = -gl_FragCoord.z * 0.95 + 1.0; + float w = a * a * a * 3e2 * b * b * b; #else - /* Eq 7 put more emphasis on surfaces closer to the view. */ - // float w = 10.0 / (1e-5 + pow(abs(z) / 5.0, 2.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 7 */ - // float w = 10.0 / (1e-5 + pow(abs(z) / 10.0, 3.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 8 */ - // float w = 10.0 / (1e-5 + pow(abs(z) / 200.0, 4.0)); /* Eq 9 */ - /* Same as eq 7, but optimized. */ - float a = abs(z) / 5.0; - float b = abs(z) / 200.0; - b *= b; - float w = 10.0 / ((1e-5 + a * a) + b * (b * b)); /* Eq 7 */ + /* Eq 7 put more emphasis on surfaces closer to the view. */ + // float w = 10.0 / (1e-5 + pow(abs(z) / 5.0, 2.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 7 */ + // float w = 10.0 / (1e-5 + pow(abs(z) / 10.0, 3.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 8 */ + // float w = 10.0 / (1e-5 + pow(abs(z) / 200.0, 4.0)); /* Eq 9 */ + /* Same as eq 7, but optimized. */ + float a = abs(z) / 5.0; + float b = abs(z) / 200.0; + b *= b; + float w = 10.0 / ((1e-5 + a * a) + b * (b * b)); /* Eq 7 */ #endif - return alpha * clamp(w, 1e-2, 3e2); + return alpha * clamp(w, 1e-2, 3e2); } /* Special function only to be used with calculate_transparent_weight(). */ float linear_zdepth(float depth, vec4 viewvecs[3], mat4 proj_mat) { - if (proj_mat[3][3] == 0.0) { - float d = 2.0 * depth - 1.0; - return -proj_mat[3][2] / (d + proj_mat[2][2]); - } - else { - /* Return depth from near plane. */ - return depth * viewvecs[1].z; - } + if (proj_mat[3][3] == 0.0) { + float d = 2.0 * depth - 1.0; + return -proj_mat[3][2] / (d + proj_mat[2][2]); + } + else { + /* Return depth from near plane. */ + return depth * viewvecs[1].z; + } } vec3 view_vector_from_screen_uv(vec2 uv, vec4 viewvecs[3], mat4 proj_mat) { - return (proj_mat[3][3] == 0.0) - ? normalize(viewvecs[0].xyz + vec3(uv, 0.0) * viewvecs[1].xyz) - : vec3(0.0, 0.0, 1.0); + return (proj_mat[3][3] == 0.0) ? normalize(viewvecs[0].xyz + vec3(uv, 0.0) * viewvecs[1].xyz) : + vec3(0.0, 0.0, 1.0); } vec2 matcap_uv_compute(vec3 I, vec3 N, bool flipped) { - /* Quick creation of an orthonormal basis */ - float a = 1.0 / (1.0 + I.z); - float b = -I.x * I.y * a; - vec3 b1 = vec3(1.0 - I.x * I.x * a, b, -I.x); - vec3 b2 = vec3(b, 1.0 - I.y * I.y * a, -I.y); - vec2 matcap_uv = vec2(dot(b1, N), dot(b2, N)); - if (flipped) { - matcap_uv.x = -matcap_uv.x; - } - return matcap_uv * 0.496 + 0.5; + /* Quick creation of an orthonormal basis */ + float a = 1.0 / (1.0 + I.z); + float b = -I.x * I.y * a; + vec3 b1 = vec3(1.0 - I.x * I.x * a, b, -I.x); + vec3 b2 = vec3(b, 1.0 - I.y * I.y * a, -I.y); + vec2 matcap_uv = vec2(dot(b1, N), dot(b2, N)); + if (flipped) { + matcap_uv.x = -matcap_uv.x; + } + return matcap_uv * 0.496 + 0.5; } float srgb_to_linearrgb(float c) { - if (c < 0.04045) { - return (c < 0.0) ? 0.0 : c * (1.0 / 12.92); - } - else { - return pow((c + 0.055) * (1.0 / 1.055), 2.4); - } + if (c < 0.04045) { + return (c < 0.0) ? 0.0 : c * (1.0 / 12.92); + } + else { + return pow((c + 0.055) * (1.0 / 1.055), 2.4); + } } vec4 srgb_to_linearrgb(vec4 col_from) { - vec4 col_to; - col_to.r = srgb_to_linearrgb(col_from.r); - col_to.g = srgb_to_linearrgb(col_from.g); - col_to.b = srgb_to_linearrgb(col_from.b); - col_to.a = col_from.a; - return col_to; + vec4 col_to; + col_to.r = srgb_to_linearrgb(col_from.r); + col_to.g = srgb_to_linearrgb(col_from.g); + col_to.b = srgb_to_linearrgb(col_from.b); + col_to.a = col_from.a; + return col_to; } vec4 workbench_sample_texture(sampler2D image, vec2 coord, bool srgb, bool nearest_sampling) { - vec2 tex_size = vec2(textureSize(image, 0).xy); - /* TODO(fclem) We could do the same with sampler objects. - * But this is a quick workaround instead of messing with the GPUTexture itself. */ - vec2 uv = nearest_sampling ? (floor(coord * tex_size) + 0.5) / tex_size : coord; - vec4 color = texture(image, uv); - return (srgb) ? srgb_to_linearrgb(color) : color; + vec2 tex_size = vec2(textureSize(image, 0).xy); + /* TODO(fclem) We could do the same with sampler objects. + * But this is a quick workaround instead of messing with the GPUTexture itself. */ + vec2 uv = nearest_sampling ? (floor(coord * tex_size) + 0.5) / tex_size : coord; + vec4 color = texture(image, uv); + return (srgb) ? srgb_to_linearrgb(color) : color; } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_curvature_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_curvature_lib.glsl index d0281f6c85c..22dc906be83 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_curvature_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_curvature_lib.glsl @@ -4,38 +4,39 @@ float curvature_soft_clamp(float curvature, float control) { - if (curvature < 0.5 / control) { - return curvature * (1.0 - curvature * control); - } - return 0.25 / control; + if (curvature < 0.5 / control) { + return curvature * (1.0 - curvature * control); + } + return 0.25 / control; } -float calculate_curvature(usampler2D objectId, sampler2D normalBuffer, ivec2 texel, float ridge, float valley) +float calculate_curvature( + usampler2D objectId, sampler2D normalBuffer, ivec2 texel, float ridge, float valley) { - uint object_up = texelFetchOffset(objectId, texel, 0, ivec2(0, CURVATURE_OFFSET)).r; - uint object_down = texelFetchOffset(objectId, texel, 0, ivec2(0, -CURVATURE_OFFSET)).r; - uint object_left = texelFetchOffset(objectId, texel, 0, ivec2(-CURVATURE_OFFSET, 0)).r; - uint object_right = texelFetchOffset(objectId, texel, 0, ivec2( CURVATURE_OFFSET, 0)).r; + uint object_up = texelFetchOffset(objectId, texel, 0, ivec2(0, CURVATURE_OFFSET)).r; + uint object_down = texelFetchOffset(objectId, texel, 0, ivec2(0, -CURVATURE_OFFSET)).r; + uint object_left = texelFetchOffset(objectId, texel, 0, ivec2(-CURVATURE_OFFSET, 0)).r; + uint object_right = texelFetchOffset(objectId, texel, 0, ivec2(CURVATURE_OFFSET, 0)).r; - if((object_up != object_down) || (object_right != object_left)) { - return 0.0; - } + if ((object_up != object_down) || (object_right != object_left)) { + return 0.0; + } - vec2 normal_up = texelFetchOffset(normalBuffer, texel, 0, ivec2(0, CURVATURE_OFFSET)).rg; - vec2 normal_down = texelFetchOffset(normalBuffer, texel, 0, ivec2(0, -CURVATURE_OFFSET)).rg; - vec2 normal_left = texelFetchOffset(normalBuffer, texel, 0, ivec2(-CURVATURE_OFFSET, 0)).rg; - vec2 normal_right = texelFetchOffset(normalBuffer, texel, 0, ivec2( CURVATURE_OFFSET, 0)).rg; + vec2 normal_up = texelFetchOffset(normalBuffer, texel, 0, ivec2(0, CURVATURE_OFFSET)).rg; + vec2 normal_down = texelFetchOffset(normalBuffer, texel, 0, ivec2(0, -CURVATURE_OFFSET)).rg; + vec2 normal_left = texelFetchOffset(normalBuffer, texel, 0, ivec2(-CURVATURE_OFFSET, 0)).rg; + vec2 normal_right = texelFetchOffset(normalBuffer, texel, 0, ivec2(CURVATURE_OFFSET, 0)).rg; - normal_up = workbench_normal_decode(normal_up ).rg; - normal_down = workbench_normal_decode(normal_down ).rg; - normal_left = workbench_normal_decode(normal_left ).rg; - normal_right = workbench_normal_decode(normal_right).rg; + normal_up = workbench_normal_decode(normal_up).rg; + normal_down = workbench_normal_decode(normal_down).rg; + normal_left = workbench_normal_decode(normal_left).rg; + normal_right = workbench_normal_decode(normal_right).rg; - float normal_diff = ((normal_up.g - normal_down.g) + (normal_right.r - normal_left.r)); + float normal_diff = ((normal_up.g - normal_down.g) + (normal_right.r - normal_left.r)); - if (normal_diff < 0) { - return -2.0 * curvature_soft_clamp(-normal_diff, valley); - } + if (normal_diff < 0) { + return -2.0 * curvature_soft_clamp(-normal_diff, valley); + } - return 2.0 * curvature_soft_clamp(normal_diff, ridge); + return 2.0 * curvature_soft_clamp(normal_diff, ridge); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_data_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_data_lib.glsl index 6deb29f6bca..16df56b393a 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_data_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_data_lib.glsl @@ -1,20 +1,20 @@ struct LightData { - vec4 direction; - vec4 specular_color; - vec4 diffuse_color_wrap; /* rgb: diffuse col a: wrapped lighting factor */ + vec4 direction; + vec4 specular_color; + vec4 diffuse_color_wrap; /* rgb: diffuse col a: wrapped lighting factor */ }; struct WorldData { - vec4 background_color_low; - vec4 background_color_high; - vec4 object_outline_color; - vec4 shadow_direction_vs; - LightData lights[4]; - vec4 ambient_color; - int num_lights; - int matcap_orientation; - float background_alpha; - float curvature_ridge; - float curvature_valley; - int pad[3]; + vec4 background_color_low; + vec4 background_color_high; + vec4 object_outline_color; + vec4 shadow_direction_vs; + LightData lights[4]; + vec4 ambient_color; + int num_lights; + int matcap_orientation; + float background_alpha; + float curvature_ridge; + float curvature_valley; + int pad[3]; }; diff --git a/source/blender/draw/engines/workbench/shaders/workbench_deferred_background_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_deferred_background_frag.glsl index 9e4394238ff..45ebf09d623 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_deferred_background_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_deferred_background_frag.glsl @@ -5,35 +5,36 @@ uniform vec2 invertedViewportSize; out vec4 fragColor; -layout(std140) uniform world_block { - WorldData world_data; +layout(std140) uniform world_block +{ + WorldData world_data; }; void main() { - vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; - vec3 background = background_color(world_data, uv_viewport.y); + vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; + vec3 background = background_color(world_data, uv_viewport.y); #ifndef V3D_SHADING_OBJECT_OUTLINE - fragColor = vec4(background, world_data.background_alpha); + fragColor = vec4(background, world_data.background_alpha); #else /* !V3D_SHADING_OBJECT_OUTLINE */ - ivec2 texel = ivec2(gl_FragCoord.xy); - uint object_id = texelFetch(objectId, texel, 0).r; - float object_outline = calculate_object_outline(objectId, texel, object_id); - - if (object_outline == 0.0) { - fragColor = vec4(background, world_data.background_alpha); - } - else { - /* Do correct alpha blending. */ - vec4 background_color = vec4(background, 1.0) * world_data.background_alpha; - vec4 outline_color = vec4(world_data.object_outline_color.rgb, 1.0); - fragColor = mix(outline_color, background_color, object_outline); - fragColor = vec4(fragColor.rgb / max(1e-8, fragColor.a), fragColor.a); - } + ivec2 texel = ivec2(gl_FragCoord.xy); + uint object_id = texelFetch(objectId, texel, 0).r; + float object_outline = calculate_object_outline(objectId, texel, object_id); + + if (object_outline == 0.0) { + fragColor = vec4(background, world_data.background_alpha); + } + else { + /* Do correct alpha blending. */ + vec4 background_color = vec4(background, 1.0) * world_data.background_alpha; + vec4 outline_color = vec4(world_data.object_outline_color.rgb, 1.0); + fragColor = mix(outline_color, background_color, object_outline); + fragColor = vec4(fragColor.rgb / max(1e-8, fragColor.a), fragColor.a); + } #endif /* !V3D_SHADING_OBJECT_OUTLINE */ } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_deferred_composite_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_deferred_composite_frag.glsl index 40e166bc7ac..65196c1a836 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_deferred_composite_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_deferred_composite_frag.glsl @@ -19,80 +19,80 @@ uniform float shadowFocus = 1.0; uniform vec3 materialSingleColor; -layout(std140) uniform world_block { - WorldData world_data; +layout(std140) uniform world_block +{ + WorldData world_data; }; void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); - vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; + ivec2 texel = ivec2(gl_FragCoord.xy); + vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; - float roughness, metallic; - vec3 base_color; + float roughness, metallic; + vec3 base_color; #ifndef MATDATA_PASS_ENABLED - base_color = materialSingleColor; - metallic = 0.0; - roughness = 0.5; + base_color = materialSingleColor; + metallic = 0.0; + roughness = 0.5; #else - vec4 material_data = texelFetch(materialBuffer, texel, 0); - base_color = material_data.rgb; - workbench_float_pair_decode(material_data.a, roughness, metallic); + vec4 material_data = texelFetch(materialBuffer, texel, 0); + base_color = material_data.rgb; + workbench_float_pair_decode(material_data.a, roughness, metallic); #endif /* Do we need normals */ #ifdef NORMAL_VIEWPORT_PASS_ENABLED - vec3 normal_viewport = workbench_normal_decode(texelFetch(normalBuffer, texel, 0).rg); + vec3 normal_viewport = workbench_normal_decode(texelFetch(normalBuffer, texel, 0).rg); #endif - vec3 I_vs = view_vector_from_screen_uv(uv_viewport, viewvecs, ProjectionMatrix); + vec3 I_vs = view_vector_from_screen_uv(uv_viewport, viewvecs, ProjectionMatrix); - /* -------- SHADING --------- */ + /* -------- SHADING --------- */ #ifdef V3D_LIGHTING_FLAT - vec3 shaded_color = base_color; + vec3 shaded_color = base_color; #elif defined(V3D_LIGHTING_MATCAP) - /* When using matcaps, the metallic is the backface sign. */ - normal_viewport = (metallic > 0.0) ? normal_viewport : -normal_viewport; - bool flipped = world_data.matcap_orientation != 0; - vec2 matcap_uv = matcap_uv_compute(I_vs, normal_viewport, flipped); - vec3 matcap = textureLod(matcapImage, matcap_uv, 0.0).rgb; - vec3 shaded_color = matcap * base_color; + /* When using matcaps, the metallic is the backface sign. */ + normal_viewport = (metallic > 0.0) ? normal_viewport : -normal_viewport; + bool flipped = world_data.matcap_orientation != 0; + vec2 matcap_uv = matcap_uv_compute(I_vs, normal_viewport, flipped); + vec3 matcap = textureLod(matcapImage, matcap_uv, 0.0).rgb; + vec3 shaded_color = matcap * base_color; #elif defined(V3D_LIGHTING_STUDIO) # ifdef V3D_SHADING_SPECULAR_HIGHLIGHT - vec3 specular_color = mix(vec3(0.05), base_color, metallic); - vec3 diffuse_color = mix(base_color, vec3(0.0), metallic); + vec3 specular_color = mix(vec3(0.05), base_color, metallic); + vec3 diffuse_color = mix(base_color, vec3(0.0), metallic); # else - roughness = 0.0; - vec3 specular_color = vec3(0.0); - vec3 diffuse_color = base_color; + roughness = 0.0; + vec3 specular_color = vec3(0.0); + vec3 diffuse_color = base_color; # endif - vec3 shaded_color = get_world_lighting(world_data, - diffuse_color, specular_color, roughness, - normal_viewport, I_vs); + vec3 shaded_color = get_world_lighting( + world_data, diffuse_color, specular_color, roughness, normal_viewport, I_vs); #endif - /* -------- POST EFFECTS --------- */ + /* -------- POST EFFECTS --------- */ #ifdef WB_CAVITY - /* Using UNORM texture so decompress the range */ - shaded_color *= texelFetch(cavityBuffer, texel, 0).r * CAVITY_BUFFER_RANGE; + /* Using UNORM texture so decompress the range */ + shaded_color *= texelFetch(cavityBuffer, texel, 0).r * CAVITY_BUFFER_RANGE; #endif #ifdef V3D_SHADING_SHADOW - float light_factor = -dot(normal_viewport, world_data.shadow_direction_vs.xyz); - float shadow_mix = smoothstep(shadowFocus, shadowShift, light_factor); - shaded_color *= mix(lightMultiplier, shadowMultiplier, shadow_mix); + float light_factor = -dot(normal_viewport, world_data.shadow_direction_vs.xyz); + float shadow_mix = smoothstep(shadowFocus, shadowShift, light_factor); + shaded_color *= mix(lightMultiplier, shadowMultiplier, shadow_mix); #endif #ifdef V3D_SHADING_OBJECT_OUTLINE - uint object_id = texelFetch(objectId, texel, 0).r; - float object_outline = calculate_object_outline(objectId, texel, object_id); - shaded_color = mix(world_data.object_outline_color.rgb, shaded_color, object_outline); + uint object_id = texelFetch(objectId, texel, 0).r; + float object_outline = calculate_object_outline(objectId, texel, object_id); + shaded_color = mix(world_data.object_outline_color.rgb, shaded_color, object_outline); #endif - fragColor = vec4(shaded_color, 1.0); + fragColor = vec4(shaded_color, 1.0); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_effect_dof_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_effect_dof_frag.glsl index 1fb7a9cec46..54440f7b120 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_effect_dof_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_effect_dof_frag.glsl @@ -18,29 +18,42 @@ uniform sampler2D halfResColorTex; uniform sampler2D blurTex; uniform sampler2D noiseTex; -#define dof_aperturesize dofParams.x -#define dof_distance dofParams.y -#define dof_invsensorsize dofParams.z +#define dof_aperturesize dofParams.x +#define dof_distance dofParams.y +#define dof_invsensorsize dofParams.z -#define M_PI 3.1415926535897932 /* pi */ +#define M_PI 3.1415926535897932 /* pi */ -float max_v4(vec4 v) { return max(max(v.x, v.y), max(v.z, v.w)); } +float max_v4(vec4 v) +{ + return max(max(v.x, v.y), max(v.z, v.w)); +} -#define weighted_sum(a, b, c, d, e, e_sum) ((a) * e.x + (b) * e.y + (c) * e.z + (d) * e.w) / max(1e-6, e_sum); +#define weighted_sum(a, b, c, d, e, e_sum) \ + ((a)*e.x + (b)*e.y + (c)*e.z + (d)*e.w) / max(1e-6, e_sum); /* divide by sensor size to get the normalized size */ -#define calculate_coc(zdepth) (dof_aperturesize * (dof_distance / zdepth - 1.0) * dof_invsensorsize) +#define calculate_coc(zdepth) \ + (dof_aperturesize * (dof_distance / zdepth - 1.0) * dof_invsensorsize) #define linear_depth(z) \ - ((ProjectionMatrix[3][3] == 0.0) ? \ - (nearFar.x * nearFar.y) / (z * (nearFar.x - nearFar.y) + nearFar.y) : \ - (z * 2.0 - 1.0) * nearFar.y) - + ((ProjectionMatrix[3][3] == 0.0) ? \ + (nearFar.x * nearFar.y) / (z * (nearFar.x - nearFar.y) + nearFar.y) : \ + (z * 2.0 - 1.0) * nearFar.y) const float MAX_COC_SIZE = 100.0; -vec2 encode_coc(float near, float far) { return vec2(near, far) / MAX_COC_SIZE; } -float decode_coc(vec2 cocs) { return max(cocs.x, cocs.y) * MAX_COC_SIZE; } -float decode_signed_coc(vec2 cocs) { return ((cocs.x > cocs.y) ? cocs.x : -cocs.y) * MAX_COC_SIZE; } +vec2 encode_coc(float near, float far) +{ + return vec2(near, far) / MAX_COC_SIZE; +} +float decode_coc(vec2 cocs) +{ + return max(cocs.x, cocs.y) * MAX_COC_SIZE; +} +float decode_signed_coc(vec2 cocs) +{ + return ((cocs.x > cocs.y) ? cocs.x : -cocs.y) * MAX_COC_SIZE; +} /** * ----------------- STEP 0 ------------------ @@ -53,39 +66,39 @@ layout(location = 1) out vec2 normalizedCoc; void main() { - ivec4 texel = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); - - vec4 color1 = texelFetch(sceneColorTex, texel.xy, 0); - vec4 color2 = texelFetch(sceneColorTex, texel.zw, 0); - vec4 color3 = texelFetch(sceneColorTex, texel.zy, 0); - vec4 color4 = texelFetch(sceneColorTex, texel.xw, 0); - - vec4 depths; - depths.x = texelFetch(sceneDepthTex, texel.xy, 0).x; - depths.y = texelFetch(sceneDepthTex, texel.zw, 0).x; - depths.z = texelFetch(sceneDepthTex, texel.zy, 0).x; - depths.w = texelFetch(sceneDepthTex, texel.xw, 0).x; - - vec4 zdepths = linear_depth(depths); - vec4 cocs_near = calculate_coc(zdepths); - vec4 cocs_far = -cocs_near; - - float coc_near = max(max_v4(cocs_near), 0.0); - float coc_far = max(max_v4(cocs_far), 0.0); - - /* now we need to write the near-far fields premultiplied by the coc - * also use bilateral weighting by each coc values to avoid bleeding. */ - vec4 near_weights = step(0.0, cocs_near) * clamp(1.0 - abs(coc_near - cocs_near), 0.0, 1.0); - vec4 far_weights = step(0.0, cocs_far) * clamp(1.0 - abs(coc_far - cocs_far), 0.0, 1.0); - - /* now write output to weighted buffers. */ - /* Take far plane pixels in priority. */ - vec4 w = any(notEqual(far_weights, vec4(0.0))) ? far_weights : near_weights; - float tot_weight = dot(w, vec4(1.0)); - halfResColor = weighted_sum(color1, color2, color3, color4, w, tot_weight); - halfResColor = clamp(halfResColor, 0.0, 3.0); - - normalizedCoc = encode_coc(coc_near, coc_far); + ivec4 texel = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); + + vec4 color1 = texelFetch(sceneColorTex, texel.xy, 0); + vec4 color2 = texelFetch(sceneColorTex, texel.zw, 0); + vec4 color3 = texelFetch(sceneColorTex, texel.zy, 0); + vec4 color4 = texelFetch(sceneColorTex, texel.xw, 0); + + vec4 depths; + depths.x = texelFetch(sceneDepthTex, texel.xy, 0).x; + depths.y = texelFetch(sceneDepthTex, texel.zw, 0).x; + depths.z = texelFetch(sceneDepthTex, texel.zy, 0).x; + depths.w = texelFetch(sceneDepthTex, texel.xw, 0).x; + + vec4 zdepths = linear_depth(depths); + vec4 cocs_near = calculate_coc(zdepths); + vec4 cocs_far = -cocs_near; + + float coc_near = max(max_v4(cocs_near), 0.0); + float coc_far = max(max_v4(cocs_far), 0.0); + + /* now we need to write the near-far fields premultiplied by the coc + * also use bilateral weighting by each coc values to avoid bleeding. */ + vec4 near_weights = step(0.0, cocs_near) * clamp(1.0 - abs(coc_near - cocs_near), 0.0, 1.0); + vec4 far_weights = step(0.0, cocs_far) * clamp(1.0 - abs(coc_far - cocs_far), 0.0, 1.0); + + /* now write output to weighted buffers. */ + /* Take far plane pixels in priority. */ + vec4 w = any(notEqual(far_weights, vec4(0.0))) ? far_weights : near_weights; + float tot_weight = dot(w, vec4(1.0)); + halfResColor = weighted_sum(color1, color2, color3, color4, w, tot_weight); + halfResColor = clamp(halfResColor, 0.0, 3.0); + + normalizedCoc = encode_coc(coc_near, coc_far); } #endif @@ -100,36 +113,36 @@ layout(location = 1) out vec2 outCocs; void main() { - ivec4 texel = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); + ivec4 texel = ivec4(gl_FragCoord.xyxy) * 2 + ivec4(0, 0, 1, 1); - vec4 color1 = texelFetch(sceneColorTex, texel.xy, 0); - vec4 color2 = texelFetch(sceneColorTex, texel.zw, 0); - vec4 color3 = texelFetch(sceneColorTex, texel.zy, 0); - vec4 color4 = texelFetch(sceneColorTex, texel.xw, 0); + vec4 color1 = texelFetch(sceneColorTex, texel.xy, 0); + vec4 color2 = texelFetch(sceneColorTex, texel.zw, 0); + vec4 color3 = texelFetch(sceneColorTex, texel.zy, 0); + vec4 color4 = texelFetch(sceneColorTex, texel.xw, 0); - vec4 depths; - vec2 cocs1 = texelFetch(inputCocTex, texel.xy, 0).rg; - vec2 cocs2 = texelFetch(inputCocTex, texel.zw, 0).rg; - vec2 cocs3 = texelFetch(inputCocTex, texel.zy, 0).rg; - vec2 cocs4 = texelFetch(inputCocTex, texel.xw, 0).rg; + vec4 depths; + vec2 cocs1 = texelFetch(inputCocTex, texel.xy, 0).rg; + vec2 cocs2 = texelFetch(inputCocTex, texel.zw, 0).rg; + vec2 cocs3 = texelFetch(inputCocTex, texel.zy, 0).rg; + vec2 cocs4 = texelFetch(inputCocTex, texel.xw, 0).rg; - vec4 cocs_near = vec4(cocs1.r, cocs2.r, cocs3.r, cocs4.r) * MAX_COC_SIZE; - vec4 cocs_far = vec4(cocs1.g, cocs2.g, cocs3.g, cocs4.g) * MAX_COC_SIZE; + vec4 cocs_near = vec4(cocs1.r, cocs2.r, cocs3.r, cocs4.r) * MAX_COC_SIZE; + vec4 cocs_far = vec4(cocs1.g, cocs2.g, cocs3.g, cocs4.g) * MAX_COC_SIZE; - float coc_near = max_v4(cocs_near); - float coc_far = max_v4(cocs_far); + float coc_near = max_v4(cocs_near); + float coc_far = max_v4(cocs_far); - /* now we need to write the near-far fields premultiplied by the coc - * also use bilateral weighting by each coc values to avoid bleeding. */ - vec4 near_weights = step(0.0, cocs_near) * clamp(1.0 - abs(coc_near - cocs_near), 0.0, 1.0); - vec4 far_weights = step(0.0, cocs_far) * clamp(1.0 - abs(coc_far - cocs_far), 0.0, 1.0); + /* now we need to write the near-far fields premultiplied by the coc + * also use bilateral weighting by each coc values to avoid bleeding. */ + vec4 near_weights = step(0.0, cocs_near) * clamp(1.0 - abs(coc_near - cocs_near), 0.0, 1.0); + vec4 far_weights = step(0.0, cocs_far) * clamp(1.0 - abs(coc_far - cocs_far), 0.0, 1.0); - /* now write output to weighted buffers. */ - vec4 w = any(notEqual(far_weights, vec4(0.0))) ? far_weights : near_weights; - float tot_weight = dot(w, vec4(1.0)); - outColor = weighted_sum(color1, color2, color3, color4, w, tot_weight); + /* now write output to weighted buffers. */ + vec4 w = any(notEqual(far_weights, vec4(0.0))) ? far_weights : near_weights; + float tot_weight = dot(w, vec4(1.0)); + outColor = weighted_sum(color1, color2, color3, color4, w, tot_weight); - outCocs = encode_coc(coc_near, coc_far); + outCocs = encode_coc(coc_near, coc_far); } #endif @@ -143,28 +156,29 @@ layout(location = 0) out vec2 flattenedCoc; void main() { -#ifdef FLATTEN_HORIZONTAL - ivec2 texel = ivec2(gl_FragCoord.xy) * ivec2(8, 1); - vec2 cocs1 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 0)).rg; - vec2 cocs2 = texelFetchOffset(inputCocTex, texel, 0, ivec2(1, 0)).rg; - vec2 cocs3 = texelFetchOffset(inputCocTex, texel, 0, ivec2(2, 0)).rg; - vec2 cocs4 = texelFetchOffset(inputCocTex, texel, 0, ivec2(3, 0)).rg; - vec2 cocs5 = texelFetchOffset(inputCocTex, texel, 0, ivec2(4, 0)).rg; - vec2 cocs6 = texelFetchOffset(inputCocTex, texel, 0, ivec2(5, 0)).rg; - vec2 cocs7 = texelFetchOffset(inputCocTex, texel, 0, ivec2(6, 0)).rg; - vec2 cocs8 = texelFetchOffset(inputCocTex, texel, 0, ivec2(7, 0)).rg; -#else /* FLATTEN_VERTICAL */ - ivec2 texel = ivec2(gl_FragCoord.xy) * ivec2(1, 8); - vec2 cocs1 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 0)).rg; - vec2 cocs2 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 1)).rg; - vec2 cocs3 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 2)).rg; - vec2 cocs4 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 3)).rg; - vec2 cocs5 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 4)).rg; - vec2 cocs6 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 5)).rg; - vec2 cocs7 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 6)).rg; - vec2 cocs8 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 7)).rg; -#endif - flattenedCoc = max(max(max(cocs1, cocs2), max(cocs3, cocs4)), max(max(cocs5, cocs6), max(cocs7, cocs8))); +# ifdef FLATTEN_HORIZONTAL + ivec2 texel = ivec2(gl_FragCoord.xy) * ivec2(8, 1); + vec2 cocs1 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 0)).rg; + vec2 cocs2 = texelFetchOffset(inputCocTex, texel, 0, ivec2(1, 0)).rg; + vec2 cocs3 = texelFetchOffset(inputCocTex, texel, 0, ivec2(2, 0)).rg; + vec2 cocs4 = texelFetchOffset(inputCocTex, texel, 0, ivec2(3, 0)).rg; + vec2 cocs5 = texelFetchOffset(inputCocTex, texel, 0, ivec2(4, 0)).rg; + vec2 cocs6 = texelFetchOffset(inputCocTex, texel, 0, ivec2(5, 0)).rg; + vec2 cocs7 = texelFetchOffset(inputCocTex, texel, 0, ivec2(6, 0)).rg; + vec2 cocs8 = texelFetchOffset(inputCocTex, texel, 0, ivec2(7, 0)).rg; +# else /* FLATTEN_VERTICAL */ + ivec2 texel = ivec2(gl_FragCoord.xy) * ivec2(1, 8); + vec2 cocs1 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 0)).rg; + vec2 cocs2 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 1)).rg; + vec2 cocs3 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 2)).rg; + vec2 cocs4 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 3)).rg; + vec2 cocs5 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 4)).rg; + vec2 cocs6 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 5)).rg; + vec2 cocs7 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 6)).rg; + vec2 cocs8 = texelFetchOffset(inputCocTex, texel, 0, ivec2(0, 7)).rg; +# endif + flattenedCoc = max(max(max(cocs1, cocs2), max(cocs3, cocs4)), + max(max(cocs5, cocs6), max(cocs7, cocs8))); } #endif @@ -178,27 +192,27 @@ layout(location = 0) out vec2 dilatedCoc; void main() { - vec2 texel_size = 1.0 / vec2(textureSize(inputCocTex, 0)); - vec2 uv = gl_FragCoord.xy * texel_size; -#ifdef DILATE_VERTICAL - vec2 cocs1 = texture(inputCocTex, uv + texel_size * vec2(-3, 0)).rg; - vec2 cocs2 = texture(inputCocTex, uv + texel_size * vec2(-2, 0)).rg; - vec2 cocs3 = texture(inputCocTex, uv + texel_size * vec2(-1, 0)).rg; - vec2 cocs4 = texture(inputCocTex, uv + texel_size * vec2( 0, 0)).rg; - vec2 cocs5 = texture(inputCocTex, uv + texel_size * vec2( 1, 0)).rg; - vec2 cocs6 = texture(inputCocTex, uv + texel_size * vec2( 2, 0)).rg; - vec2 cocs7 = texture(inputCocTex, uv + texel_size * vec2( 3, 0)).rg; -#else /* DILATE_HORIZONTAL */ - vec2 cocs1 = texture(inputCocTex, uv + texel_size * vec2(0, -3)).rg; - vec2 cocs2 = texture(inputCocTex, uv + texel_size * vec2(0, -2)).rg; - vec2 cocs3 = texture(inputCocTex, uv + texel_size * vec2(0, -1)).rg; - vec2 cocs4 = texture(inputCocTex, uv + texel_size * vec2(0, 0)).rg; - vec2 cocs5 = texture(inputCocTex, uv + texel_size * vec2(0, 1)).rg; - vec2 cocs6 = texture(inputCocTex, uv + texel_size * vec2(0, 2)).rg; - vec2 cocs7 = texture(inputCocTex, uv + texel_size * vec2(0, 3)).rg; -#endif - // dilatedCoc = max(max(cocs3, cocs4), max(max(cocs5, cocs6), cocs2)); - dilatedCoc = max(max(max(cocs1, cocs2), max(cocs3, cocs4)), max(max(cocs5, cocs6), cocs7)); + vec2 texel_size = 1.0 / vec2(textureSize(inputCocTex, 0)); + vec2 uv = gl_FragCoord.xy * texel_size; +# ifdef DILATE_VERTICAL + vec2 cocs1 = texture(inputCocTex, uv + texel_size * vec2(-3, 0)).rg; + vec2 cocs2 = texture(inputCocTex, uv + texel_size * vec2(-2, 0)).rg; + vec2 cocs3 = texture(inputCocTex, uv + texel_size * vec2(-1, 0)).rg; + vec2 cocs4 = texture(inputCocTex, uv + texel_size * vec2(0, 0)).rg; + vec2 cocs5 = texture(inputCocTex, uv + texel_size * vec2(1, 0)).rg; + vec2 cocs6 = texture(inputCocTex, uv + texel_size * vec2(2, 0)).rg; + vec2 cocs7 = texture(inputCocTex, uv + texel_size * vec2(3, 0)).rg; +# else /* DILATE_HORIZONTAL */ + vec2 cocs1 = texture(inputCocTex, uv + texel_size * vec2(0, -3)).rg; + vec2 cocs2 = texture(inputCocTex, uv + texel_size * vec2(0, -2)).rg; + vec2 cocs3 = texture(inputCocTex, uv + texel_size * vec2(0, -1)).rg; + vec2 cocs4 = texture(inputCocTex, uv + texel_size * vec2(0, 0)).rg; + vec2 cocs5 = texture(inputCocTex, uv + texel_size * vec2(0, 1)).rg; + vec2 cocs6 = texture(inputCocTex, uv + texel_size * vec2(0, 2)).rg; + vec2 cocs7 = texture(inputCocTex, uv + texel_size * vec2(0, 3)).rg; +# endif + // dilatedCoc = max(max(cocs3, cocs4), max(max(cocs5, cocs6), cocs2)); + dilatedCoc = max(max(max(cocs1, cocs2), max(cocs3, cocs4)), max(max(cocs5, cocs6), cocs7)); } #endif @@ -210,53 +224,55 @@ void main() #ifdef BLUR1 layout(location = 0) out vec4 blurColor; -#define NUM_SAMPLES 49 +# define NUM_SAMPLES 49 -layout(std140) uniform dofSamplesBlock { - vec4 samples[NUM_SAMPLES]; +layout(std140) uniform dofSamplesBlock +{ + vec4 samples[NUM_SAMPLES]; }; vec2 get_random_vector(float offset) { - /* Interlieved gradient noise by Jorge Jimenez - * http://www.iryoku.com/next-generation-post-processing-in-call-of-duty-advanced-warfare */ - float ign = fract(offset + 52.9829189 * fract(0.06711056 * gl_FragCoord.x + 0.00583715 * gl_FragCoord.y)); - float bn = texelFetch(noiseTex, ivec2(gl_FragCoord.xy) % 64, 0).a; - float ang = M_PI * 2.0 * fract(bn + offset); - return vec2(cos(ang), sin(ang)) * sqrt(ign); - // return noise.rg * sqrt(ign); + /* Interlieved gradient noise by Jorge Jimenez + * http://www.iryoku.com/next-generation-post-processing-in-call-of-duty-advanced-warfare */ + float ign = fract(offset + + 52.9829189 * fract(0.06711056 * gl_FragCoord.x + 0.00583715 * gl_FragCoord.y)); + float bn = texelFetch(noiseTex, ivec2(gl_FragCoord.xy) % 64, 0).a; + float ang = M_PI * 2.0 * fract(bn + offset); + return vec2(cos(ang), sin(ang)) * sqrt(ign); + // return noise.rg * sqrt(ign); } void main() { - vec2 uv = gl_FragCoord.xy * invertedViewportSize * 2.0; + vec2 uv = gl_FragCoord.xy * invertedViewportSize * 2.0; - vec2 size = vec2(textureSize(halfResColorTex, 0).xy); - ivec2 texel = ivec2(uv * size); + vec2 size = vec2(textureSize(halfResColorTex, 0).xy); + ivec2 texel = ivec2(uv * size); - vec4 color = vec4(0.0); - float tot = 1e-4; + vec4 color = vec4(0.0); + float tot = 1e-4; - float coc = decode_coc(texelFetch(inputCocTex, texel, 0).rg); - float max_radius = coc; - vec2 noise = get_random_vector(noiseOffset) * 0.2 * clamp(max_radius * 0.2 - 4.0, 0.0, 1.0); - for (int i = 0; i < NUM_SAMPLES; ++i) { - vec2 tc = uv + (noise + samples[i].xy) * invertedViewportSize * max_radius; + float coc = decode_coc(texelFetch(inputCocTex, texel, 0).rg); + float max_radius = coc; + vec2 noise = get_random_vector(noiseOffset) * 0.2 * clamp(max_radius * 0.2 - 4.0, 0.0, 1.0); + for (int i = 0; i < NUM_SAMPLES; ++i) { + vec2 tc = uv + (noise + samples[i].xy) * invertedViewportSize * max_radius; - /* decode_signed_coc return biggest coc. */ - coc = abs(decode_signed_coc(texture(inputCocTex, tc).rg)); + /* decode_signed_coc return biggest coc. */ + coc = abs(decode_signed_coc(texture(inputCocTex, tc).rg)); - float lod = log2(clamp((coc + min(coc, max_radius)) * 0.5 - 21.0, 0.0, 16.0) * 0.25); - vec4 samp = textureLod(halfResColorTex, tc, lod); + float lod = log2(clamp((coc + min(coc, max_radius)) * 0.5 - 21.0, 0.0, 16.0) * 0.25); + vec4 samp = textureLod(halfResColorTex, tc, lod); - float radius = samples[i].z * max_radius; - float weight = abs(coc) * smoothstep(radius - 0.5, radius + 0.5, abs(coc)); + float radius = samples[i].z * max_radius; + float weight = abs(coc) * smoothstep(radius - 0.5, radius + 0.5, abs(coc)); - color += samp * weight; - tot += weight; - } + color += samp * weight; + tot += weight; + } - blurColor = color / tot; + blurColor = color / tot; } #endif @@ -297,48 +313,70 @@ out vec4 finalColor; void main() { - /* Half Res pass */ - vec2 pixel_size = 1.0 / vec2(textureSize(blurTex, 0).xy); - vec2 uv = gl_FragCoord.xy * pixel_size.xy; - float coc = decode_coc(texture(inputCocTex, uv).rg); - /* Only use this filter if coc is > 9.0 - * since this filter is not weighted by CoC - * and can bleed a bit. */ - float rad = clamp(coc - 9.0, 0.0, 1.0); - -#define vec vec4 -#define toVec(x) x.rgba - -#define s2(a, b) temp = a; a = min(a, b); b = max(temp, b); -#define mn3(a, b, c) s2(a, b); s2(a, c); -#define mx3(a, b, c) s2(b, c); s2(a, c); - -#define mnmx3(a, b, c) mx3(a, b, c); s2(a, b); // 3 exchanges -#define mnmx4(a, b, c, d) s2(a, b); s2(c, d); s2(a, c); s2(b, d); // 4 exchanges -#define mnmx5(a, b, c, d, e) s2(a, b); s2(c, d); mn3(a, c, e); mx3(b, d, e); // 6 exchanges -#define mnmx6(a, b, c, d, e, f) s2(a, d); s2(b, e); s2(c, f); mn3(a, b, c); mx3(d, e, f); // 7 exchanges - - vec v[9]; - - /* Add the pixels which make up our window to the pixel array. */ - for(int dX = -1; dX <= 1; ++dX) { - for(int dY = -1; dY <= 1; ++dY) { - vec2 offset = vec2(float(dX), float(dY)); - /* If a pixel in the window is located at (x+dX, y+dY), put it at index (dX + R)(2R + 1) + (dY + R) of the - * pixel array. This will fill the pixel array, with the top left pixel of the window at pixel[0] and the - * bottom right pixel of the window at pixel[N-1]. */ - v[(dX + 1) * 3 + (dY + 1)] = toVec(texture(blurTex, uv + offset * pixel_size * rad)); - } - } - - vec temp; - - /* Starting with a subset of size 6, remove the min and max each time */ - mnmx6(v[0], v[1], v[2], v[3], v[4], v[5]); - mnmx5(v[1], v[2], v[3], v[4], v[6]); - mnmx4(v[2], v[3], v[4], v[7]); - mnmx3(v[3], v[4], v[8]); - toVec(finalColor) = v[4]; + /* Half Res pass */ + vec2 pixel_size = 1.0 / vec2(textureSize(blurTex, 0).xy); + vec2 uv = gl_FragCoord.xy * pixel_size.xy; + float coc = decode_coc(texture(inputCocTex, uv).rg); + /* Only use this filter if coc is > 9.0 + * since this filter is not weighted by CoC + * and can bleed a bit. */ + float rad = clamp(coc - 9.0, 0.0, 1.0); + +# define vec vec4 +# define toVec(x) x.rgba + +# define s2(a, b) \ + temp = a; \ + a = min(a, b); \ + b = max(temp, b); +# define mn3(a, b, c) \ + s2(a, b); \ + s2(a, c); +# define mx3(a, b, c) \ + s2(b, c); \ + s2(a, c); + +# define mnmx3(a, b, c) \ + mx3(a, b, c); \ + s2(a, b); // 3 exchanges +# define mnmx4(a, b, c, d) \ + s2(a, b); \ + s2(c, d); \ + s2(a, c); \ + s2(b, d); // 4 exchanges +# define mnmx5(a, b, c, d, e) \ + s2(a, b); \ + s2(c, d); \ + mn3(a, c, e); \ + mx3(b, d, e); // 6 exchanges +# define mnmx6(a, b, c, d, e, f) \ + s2(a, d); \ + s2(b, e); \ + s2(c, f); \ + mn3(a, b, c); \ + mx3(d, e, f); // 7 exchanges + + vec v[9]; + + /* Add the pixels which make up our window to the pixel array. */ + for (int dX = -1; dX <= 1; ++dX) { + for (int dY = -1; dY <= 1; ++dY) { + vec2 offset = vec2(float(dX), float(dY)); + /* If a pixel in the window is located at (x+dX, y+dY), put it at index (dX + R)(2R + 1) + (dY + R) of the + * pixel array. This will fill the pixel array, with the top left pixel of the window at pixel[0] and the + * bottom right pixel of the window at pixel[N-1]. */ + v[(dX + 1) * 3 + (dY + 1)] = toVec(texture(blurTex, uv + offset * pixel_size * rad)); + } + } + + vec temp; + + /* Starting with a subset of size 6, remove the min and max each time */ + mnmx6(v[0], v[1], v[2], v[3], v[4], v[5]); + mnmx5(v[1], v[2], v[3], v[4], v[6]); + mnmx4(v[2], v[3], v[4], v[7]); + mnmx3(v[3], v[4], v[8]); + toVec(finalColor) = v[4]; } #endif @@ -351,16 +389,16 @@ out vec4 finalColor; void main() { - /* Fullscreen pass */ - vec2 pixel_size = 0.5 / vec2(textureSize(halfResColorTex, 0).xy); - vec2 uv = gl_FragCoord.xy * pixel_size; + /* Fullscreen pass */ + vec2 pixel_size = 0.5 / vec2(textureSize(halfResColorTex, 0).xy); + vec2 uv = gl_FragCoord.xy * pixel_size; - /* TODO MAKE SURE TO ALIGN SAMPLE POSITION TO AVOID OFFSET IN THE BOKEH */ - float depth = texelFetch(sceneDepthTex, ivec2(gl_FragCoord.xy), 0).r; - float zdepth = linear_depth(depth); - float coc = calculate_coc(zdepth); + /* TODO MAKE SURE TO ALIGN SAMPLE POSITION TO AVOID OFFSET IN THE BOKEH */ + float depth = texelFetch(sceneDepthTex, ivec2(gl_FragCoord.xy), 0).r; + float zdepth = linear_depth(depth); + float coc = calculate_coc(zdepth); - finalColor = texture(halfResColorTex, uv); - finalColor.a = smoothstep(1.0, 3.0, abs(coc)); + finalColor = texture(halfResColorTex, uv); + finalColor.a = smoothstep(1.0, 3.0, abs(coc)); } #endif diff --git a/source/blender/draw/engines/workbench/shaders/workbench_effect_fxaa_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_effect_fxaa_frag.glsl index 4ffd20c2839..46b0361245b 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_effect_fxaa_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_effect_fxaa_frag.glsl @@ -8,12 +8,6 @@ uniform vec2 invertedViewportSize; void main() { - FragColor = FxaaPixelShader( - uvcoordsvar.st, - colorBuffer, - invertedViewportSize, - 1.0, - 0.166, - 0.0833 - ); + FragColor = FxaaPixelShader( + uvcoordsvar.st, colorBuffer, invertedViewportSize, 1.0, 0.166, 0.0833); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_effect_taa_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_effect_taa_frag.glsl index 1da1b2ad13c..5795268f794 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_effect_taa_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_effect_taa_frag.glsl @@ -7,8 +7,8 @@ uniform float mixFactor; void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); - vec4 color_buffer = texelFetch(colorBuffer, texel, 0); - vec4 history_buffer = texelFetch(historyBuffer, texel, 0); - colorOutput = mix(history_buffer, color_buffer, mixFactor); + ivec2 texel = ivec2(gl_FragCoord.xy); + vec4 color_buffer = texelFetch(colorBuffer, texel, 0); + vec4 history_buffer = texelFetch(historyBuffer, texel, 0); + colorOutput = mix(history_buffer, color_buffer, mixFactor); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_forward_composite_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_forward_composite_frag.glsl index 576a5e81c0d..6915055e356 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_forward_composite_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_forward_composite_frag.glsl @@ -6,38 +6,40 @@ uniform sampler2D transparentRevealage; uniform vec2 invertedViewportSize; #ifndef ALPHA_COMPOSITE -layout(std140) uniform world_block { - WorldData world_data; +layout(std140) uniform world_block +{ + WorldData world_data; }; #endif /* TODO: Bypass the whole shader if there is no xray pass and no outline pass. */ void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); - vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; + ivec2 texel = ivec2(gl_FragCoord.xy); + vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; - /* Listing 4 */ - vec4 trans_accum = texelFetch(transparentAccum, texel, 0); - float trans_revealage = trans_accum.a; - trans_accum.a = texelFetch(transparentRevealage, texel, 0).r; + /* Listing 4 */ + vec4 trans_accum = texelFetch(transparentAccum, texel, 0); + float trans_revealage = trans_accum.a; + trans_accum.a = texelFetch(transparentRevealage, texel, 0).r; - vec3 trans_color = trans_accum.rgb / clamp(trans_accum.a, 1e-4, 5e4); + vec3 trans_color = trans_accum.rgb / clamp(trans_accum.a, 1e-4, 5e4); #ifndef ALPHA_COMPOSITE - vec3 bg_color = background_color(world_data, uv_viewport.y); + vec3 bg_color = background_color(world_data, uv_viewport.y); - bg_color = (world_data.background_alpha == 0.0) ? trans_color : bg_color; - vec4 color = mix(vec4(trans_color, 1.0), vec4(bg_color, world_data.background_alpha), trans_revealage); + bg_color = (world_data.background_alpha == 0.0) ? trans_color : bg_color; + vec4 color = mix( + vec4(trans_color, 1.0), vec4(bg_color, world_data.background_alpha), trans_revealage); # ifdef V3D_SHADING_OBJECT_OUTLINE - uint object_id = texelFetch(objectId, texel, 0).r; - float outline = calculate_object_outline(objectId, texel, object_id); - color = mix(vec4(world_data.object_outline_color.rgb, 1.0), color, outline); + uint object_id = texelFetch(objectId, texel, 0).r; + float outline = calculate_object_outline(objectId, texel, object_id); + color = mix(vec4(world_data.object_outline_color.rgb, 1.0), color, outline); # endif - fragColor = color; + fragColor = color; #else - fragColor = vec4(trans_color, 1.0 - trans_revealage); + fragColor = vec4(trans_color, 1.0 - trans_revealage); #endif } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_forward_depth_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_forward_depth_frag.glsl index 9380044f2b9..505b4822ad6 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_forward_depth_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_forward_depth_frag.glsl @@ -1,5 +1,5 @@ uniform int object_id = 0; -layout(location=0) out uint objectId; +layout(location = 0) out uint objectId; uniform float ImageTransparencyCutoff = 0.1; #ifdef V3D_SHADING_TEXTURE_COLOR uniform sampler2D image; @@ -10,11 +10,11 @@ in vec2 uv_interp; void main() { #ifdef V3D_SHADING_TEXTURE_COLOR - vec4 diffuse_color = texture(image, uv_interp); - if (diffuse_color.a < ImageTransparencyCutoff) { - discard; - } + vec4 diffuse_color = texture(image, uv_interp); + if (diffuse_color.a < ImageTransparencyCutoff) { + discard; + } #endif - objectId = uint(object_id); + objectId = uint(object_id); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_forward_transparent_accum_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_forward_transparent_accum_frag.glsl index b3642b7beb3..e654141df5c 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_forward_transparent_accum_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_forward_transparent_accum_frag.glsl @@ -29,62 +29,63 @@ in vec2 uv_interp; uniform sampler2D matcapImage; #endif -layout(std140) uniform world_block { - WorldData world_data; +layout(std140) uniform world_block +{ + WorldData world_data; }; -layout(location=0) out vec4 transparentAccum; -layout(location=1) out float revealageAccum; /* revealage actually stored in transparentAccum.a */ +layout(location = 0) out vec4 transparentAccum; +layout(location = 1) out + float revealageAccum; /* revealage actually stored in transparentAccum.a */ void main() { - vec4 diffuse_color; + vec4 diffuse_color; #ifdef V3D_SHADING_TEXTURE_COLOR - diffuse_color = workbench_sample_texture(image, uv_interp, imageSrgb, imageNearest); - if (diffuse_color.a < ImageTransparencyCutoff) { - discard; - } + diffuse_color = workbench_sample_texture(image, uv_interp, imageSrgb, imageNearest); + if (diffuse_color.a < ImageTransparencyCutoff) { + discard; + } #else - diffuse_color = vec4(materialDiffuseColor, 1.0); + diffuse_color = vec4(materialDiffuseColor, 1.0); #endif /* V3D_SHADING_TEXTURE_COLOR */ - vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; - vec3 I_vs = view_vector_from_screen_uv(uv_viewport, viewvecs, ProjectionMatrix); + vec2 uv_viewport = gl_FragCoord.xy * invertedViewportSize; + vec3 I_vs = view_vector_from_screen_uv(uv_viewport, viewvecs, ProjectionMatrix); #ifdef NORMAL_VIEWPORT_PASS_ENABLED - vec3 nor = normalize(normal_viewport); + vec3 nor = normalize(normal_viewport); #endif - /* -------- SHADING --------- */ + /* -------- SHADING --------- */ #ifdef V3D_LIGHTING_FLAT - vec3 shaded_color = diffuse_color.rgb; + vec3 shaded_color = diffuse_color.rgb; #elif defined(V3D_LIGHTING_MATCAP) - bool flipped = world_data.matcap_orientation != 0; - vec2 matcap_uv = matcap_uv_compute(I_vs, nor, flipped); - vec3 matcap = textureLod(matcapImage, matcap_uv, 0.0).rgb; - vec3 shaded_color = matcap * diffuse_color.rgb; + bool flipped = world_data.matcap_orientation != 0; + vec2 matcap_uv = matcap_uv_compute(I_vs, nor, flipped); + vec3 matcap = textureLod(matcapImage, matcap_uv, 0.0).rgb; + vec3 shaded_color = matcap * diffuse_color.rgb; #elif defined(V3D_LIGHTING_STUDIO) - vec3 shaded_color = get_world_lighting(world_data, - diffuse_color.rgb, materialSpecularColor, materialRoughness, - nor, I_vs); + vec3 shaded_color = get_world_lighting( + world_data, diffuse_color.rgb, materialSpecularColor, materialRoughness, nor, I_vs); #endif #ifdef V3D_SHADING_SHADOW - float light_factor = -dot(nor, world_data.shadow_direction_vs.xyz); - float shadow_mix = smoothstep(shadowFocus, shadowShift, light_factor); - shaded_color *= mix(lightMultiplier, shadowMultiplier, shadow_mix); + float light_factor = -dot(nor, world_data.shadow_direction_vs.xyz); + float shadow_mix = smoothstep(shadowFocus, shadowShift, light_factor); + shaded_color *= mix(lightMultiplier, shadowMultiplier, shadow_mix); #endif - /* Based on : - * McGuire and Bavoil, Weighted Blended Order-Independent Transparency, Journal of - * Computer Graphics Techniques (JCGT), vol. 2, no. 2, 122–141, 2013 - */ - /* Listing 4 */ - float z = linear_zdepth(gl_FragCoord.z, viewvecs, ProjectionMatrix); - float weight = calculate_transparent_weight(z, alpha); - transparentAccum = vec4(shaded_color * weight, alpha); - revealageAccum = weight; + /* Based on : + * McGuire and Bavoil, Weighted Blended Order-Independent Transparency, Journal of + * Computer Graphics Techniques (JCGT), vol. 2, no. 2, 122–141, 2013 + */ + /* Listing 4 */ + float z = linear_zdepth(gl_FragCoord.z, viewvecs, ProjectionMatrix); + float weight = calculate_transparent_weight(z, alpha); + transparentAccum = vec4(shaded_color * weight, alpha); + revealageAccum = weight; } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_ghost_resolve_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_ghost_resolve_frag.glsl index 59f2df11086..d223a7650c5 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_ghost_resolve_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_ghost_resolve_frag.glsl @@ -2,12 +2,12 @@ uniform sampler2D depthBuffer; void main(void) { - float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; + float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; - /* background, discard */ - if (depth >= 1.0) { - discard; - } + /* background, discard */ + if (depth >= 1.0) { + discard; + } - gl_FragDepth = depth; + gl_FragDepth = depth; } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_object_outline_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_object_outline_lib.glsl index 3e925ba023f..a4a5d9c31a3 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_object_outline_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_object_outline_lib.glsl @@ -2,11 +2,11 @@ float calculate_object_outline(usampler2D objectId, ivec2 texel, uint object_id) { - uvec4 oid_offset = uvec4( - texelFetchOffset(objectId, texel, 0, ivec2(0, OBJECT_OUTLINE_OFFSET)).r, - texelFetchOffset(objectId, texel, 0, ivec2(0, -OBJECT_OUTLINE_OFFSET)).r, - texelFetchOffset(objectId, texel, 0, ivec2(-OBJECT_OUTLINE_OFFSET, 0)).r, - texelFetchOffset(objectId, texel, 0, ivec2( OBJECT_OUTLINE_OFFSET, 0)).r); + uvec4 oid_offset = uvec4( + texelFetchOffset(objectId, texel, 0, ivec2(0, OBJECT_OUTLINE_OFFSET)).r, + texelFetchOffset(objectId, texel, 0, ivec2(0, -OBJECT_OUTLINE_OFFSET)).r, + texelFetchOffset(objectId, texel, 0, ivec2(-OBJECT_OUTLINE_OFFSET, 0)).r, + texelFetchOffset(objectId, texel, 0, ivec2(OBJECT_OUTLINE_OFFSET, 0)).r); - return dot(vec4(equal(uvec4(object_id), oid_offset)), vec4(0.25)); + return dot(vec4(equal(uvec4(object_id), oid_offset)), vec4(0.25)); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_prepass_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_prepass_frag.glsl index db51d3da15f..6b2962a66da 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_prepass_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_prepass_frag.glsl @@ -22,58 +22,58 @@ flat in float hair_rand; #endif #ifdef MATDATA_PASS_ENABLED -layout(location=0) out vec4 materialData; +layout(location = 0) out vec4 materialData; #endif #ifdef OBJECT_ID_PASS_ENABLED -layout(location=1) out uint objectId; +layout(location = 1) out uint objectId; #endif #ifdef NORMAL_VIEWPORT_PASS_ENABLED -layout(location=2) out WB_Normal normalViewport; +layout(location = 2) out WB_Normal normalViewport; #endif void main() { #ifdef MATDATA_PASS_ENABLED - float metallic, roughness; - vec4 color; + float metallic, roughness; + vec4 color; # ifdef V3D_SHADING_TEXTURE_COLOR - color = workbench_sample_texture(image, uv_interp, imageSrgb, imageNearest); - if (color.a < ImageTransparencyCutoff) { - discard; - } + color = workbench_sample_texture(image, uv_interp, imageSrgb, imageNearest); + if (color.a < ImageTransparencyCutoff) { + discard; + } # else - color.rgb = materialDiffuseColor; + color.rgb = materialDiffuseColor; # endif # ifdef V3D_LIGHTING_MATCAP - /* Encode front facing in metallic channel. */ - metallic = float(gl_FrontFacing); - roughness = 0.0; + /* Encode front facing in metallic channel. */ + metallic = float(gl_FrontFacing); + roughness = 0.0; # else - metallic = materialMetallic; - roughness = materialRoughness; + metallic = materialMetallic; + roughness = materialRoughness; # endif # ifdef HAIR_SHADER - /* Add some variation to the hairs to avoid uniform look. */ - float hair_variation = hair_rand * 0.1; - color = clamp(color - hair_variation, 0.0, 1.0); - metallic = clamp(materialMetallic - hair_variation, 0.0, 1.0); - roughness = clamp(materialRoughness - hair_variation, 0.0, 1.0); + /* Add some variation to the hairs to avoid uniform look. */ + float hair_variation = hair_rand * 0.1; + color = clamp(color - hair_variation, 0.0, 1.0); + metallic = clamp(materialMetallic - hair_variation, 0.0, 1.0); + roughness = clamp(materialRoughness - hair_variation, 0.0, 1.0); # endif - materialData.rgb = color.rgb; - materialData.a = workbench_float_pair_encode(roughness, metallic); + materialData.rgb = color.rgb; + materialData.a = workbench_float_pair_encode(roughness, metallic); #endif /* MATDATA_PASS_ENABLED */ #ifdef OBJECT_ID_PASS_ENABLED - objectId = uint(object_id); + objectId = uint(object_id); #endif #ifdef NORMAL_VIEWPORT_PASS_ENABLED - vec3 n = (gl_FrontFacing) ? normal_viewport : -normal_viewport; - n = normalize(n); - normalViewport = workbench_normal_encode(n); + vec3 n = (gl_FrontFacing) ? normal_viewport : -normal_viewport; + n = normalize(n); + normalViewport = workbench_normal_encode(n); #endif } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_prepass_vert.glsl b/source/blender/draw/engines/workbench/shaders/workbench_prepass_vert.glsl index 66372f82b89..dd737063f61 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_prepass_vert.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_prepass_vert.glsl @@ -10,7 +10,7 @@ uniform mat3 NormalMatrix; in vec3 pos; in vec3 nor; in vec2 u; /* active texture layer */ -#define uv u +# define uv u #else /* HAIR_SHADER */ # ifdef V3D_SHADING_TEXTURE_COLOR uniform samplerBuffer u; /* active texture layer */ @@ -29,49 +29,53 @@ out vec2 uv_interp; /* From http://libnoise.sourceforge.net/noisegen/index.html */ float integer_noise(int n) { - n = (n >> 13) ^ n; - int nn = (n * (n * n * 60493 + 19990303) + 1376312589) & 0x7fffffff; - return (float(nn) / 1073741824.0); + n = (n >> 13) ^ n; + int nn = (n * (n * n * 60493 + 19990303) + 1376312589) & 0x7fffffff; + return (float(nn) / 1073741824.0); } void main() { #ifdef HAIR_SHADER # ifdef V3D_SHADING_TEXTURE_COLOR - vec2 uv = hair_get_customdata_vec2(u); + vec2 uv = hair_get_customdata_vec2(u); # endif - float time, thick_time, thickness; - vec3 pos, tan, binor; - hair_get_pos_tan_binor_time( - (ProjectionMatrix[3][3] == 0.0), - ModelMatrixInverse, - ViewMatrixInverse[3].xyz, ViewMatrixInverse[2].xyz, - pos, tan, binor, time, thickness, thick_time); - /* To "simulate" anisotropic shading, randomize hair normal per strand. */ - hair_rand = integer_noise(hair_get_strand_id()); - tan = normalize(tan); - vec3 nor = normalize(cross(binor, tan)); - nor = normalize(mix(nor, -tan, hair_rand * 0.10)); - float cos_theta = (hair_rand*2.0 - 1.0) * 0.20; - float sin_theta = sqrt(max(0.0, 1.0f - cos_theta*cos_theta)); - nor = nor * sin_theta + binor * cos_theta; - gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); + float time, thick_time, thickness; + vec3 pos, tan, binor; + hair_get_pos_tan_binor_time((ProjectionMatrix[3][3] == 0.0), + ModelMatrixInverse, + ViewMatrixInverse[3].xyz, + ViewMatrixInverse[2].xyz, + pos, + tan, + binor, + time, + thickness, + thick_time); + /* To "simulate" anisotropic shading, randomize hair normal per strand. */ + hair_rand = integer_noise(hair_get_strand_id()); + tan = normalize(tan); + vec3 nor = normalize(cross(binor, tan)); + nor = normalize(mix(nor, -tan, hair_rand * 0.10)); + float cos_theta = (hair_rand * 2.0 - 1.0) * 0.20; + float sin_theta = sqrt(max(0.0, 1.0f - cos_theta * cos_theta)); + nor = nor * sin_theta + binor * cos_theta; + gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); #else - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); #endif #ifdef V3D_SHADING_TEXTURE_COLOR - uv_interp = uv; + uv_interp = uv; #endif #ifdef NORMAL_VIEWPORT_PASS_ENABLED - normal_viewport = NormalMatrix * nor; + normal_viewport = NormalMatrix * nor; # ifndef HAIR_SHADER - normal_viewport = normalize(normal_viewport); + normal_viewport = normalize(normal_viewport); # endif #endif #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif - } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_shadow_caps_geom.glsl b/source/blender/draw/engines/workbench/shaders/workbench_shadow_caps_geom.glsl index d8c8f22ed1c..09bafb8ff11 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_shadow_caps_geom.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_shadow_caps_geom.glsl @@ -1,7 +1,7 @@ #extension GL_ARB_gpu_shader5 : enable #ifdef GL_ARB_gpu_shader5 -#define USE_INVOC_EXT +# define USE_INVOC_EXT #endif #ifdef DOUBLE_MANIFOLD @@ -28,58 +28,66 @@ layout(triangle_strip, max_vertices = vert_len) out; uniform vec3 lightDirection = vec3(0.57, 0.57, -0.57); -in VertexData { - vec3 pos; /* local position */ - vec4 frontPosition; /* final ndc position */ - vec4 backPosition; -} vData[]; +in VertexData +{ + vec3 pos; /* local position */ + vec4 frontPosition; /* final ndc position */ + vec4 backPosition; +} +vData[]; vec4 get_pos(int v, bool backface) { - return (backface) ? vData[v].backPosition : vData[v].frontPosition; + return (backface) ? vData[v].backPosition : vData[v].frontPosition; } void emit_cap(const bool front, bool reversed) { - if (front) { - gl_Position = vData[0].frontPosition; EmitVertex(); - gl_Position = vData[reversed ? 2 : 1].frontPosition; EmitVertex(); - gl_Position = vData[reversed ? 1 : 2].frontPosition; EmitVertex(); - } - else { - gl_Position = vData[0].backPosition; EmitVertex(); - gl_Position = vData[reversed ? 1 : 2].backPosition; EmitVertex(); - gl_Position = vData[reversed ? 2 : 1].backPosition; EmitVertex(); - } - EndPrimitive(); + if (front) { + gl_Position = vData[0].frontPosition; + EmitVertex(); + gl_Position = vData[reversed ? 2 : 1].frontPosition; + EmitVertex(); + gl_Position = vData[reversed ? 1 : 2].frontPosition; + EmitVertex(); + } + else { + gl_Position = vData[0].backPosition; + EmitVertex(); + gl_Position = vData[reversed ? 1 : 2].backPosition; + EmitVertex(); + gl_Position = vData[reversed ? 2 : 1].backPosition; + EmitVertex(); + } + EndPrimitive(); } void main() { - vec3 v10 = vData[0].pos - vData[1].pos; - vec3 v12 = vData[2].pos - vData[1].pos; + vec3 v10 = vData[0].pos - vData[1].pos; + vec3 v12 = vData[2].pos - vData[1].pos; - vec3 n = cross(v12, v10); - float facing = dot(n, lightDirection); + vec3 n = cross(v12, v10); + float facing = dot(n, lightDirection); - bool backface = facing > 0.0; + bool backface = facing > 0.0; #ifdef DOUBLE_MANIFOLD - /* In case of non manifold geom, we only increase/decrease - * the stencil buffer by one but do every faces as they were facing the light. */ - bool invert = backface; + /* In case of non manifold geom, we only increase/decrease + * the stencil buffer by one but do every faces as they were facing the light. */ + bool invert = backface; #else - const bool invert = false; - if (!backface) { + const bool invert = false; + if (!backface) { #endif #ifdef USE_INVOC_EXT - bool do_front = (gl_InvocationID & 1) == 0; - emit_cap(do_front, invert); + bool do_front = (gl_InvocationID & 1) == 0; + emit_cap(do_front, invert); #else - emit_cap(true, invert); - emit_cap(false, invert); + emit_cap(true, invert); + emit_cap(false, invert); #endif #ifndef DOUBLE_MANIFOLD - } +} #endif } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_shadow_debug_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_shadow_debug_frag.glsl index ceb33e77f2b..6b0741b6d1b 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_shadow_debug_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_shadow_debug_frag.glsl @@ -3,12 +3,13 @@ out vec4 fragColor; void main() { - const float intensity = 0.25; + const float intensity = 0.25; #ifdef SHADOW_PASS - fragColor = vec4((gl_FrontFacing) ? vec3(intensity, -intensity, 0.0) - : vec3(-intensity, intensity, 0.0), 1.0); + fragColor = vec4( + (gl_FrontFacing) ? vec3(intensity, -intensity, 0.0) : vec3(-intensity, intensity, 0.0), 1.0); #else - fragColor = vec4((gl_FrontFacing) ? vec3(intensity, intensity, -intensity) - : vec3(-intensity, -intensity, intensity), 1.0); + fragColor = vec4((gl_FrontFacing) ? vec3(intensity, intensity, -intensity) : + vec3(-intensity, -intensity, intensity), + 1.0); #endif } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_shadow_geom.glsl b/source/blender/draw/engines/workbench/shaders/workbench_shadow_geom.glsl index 00213260df0..5373648d4e4 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_shadow_geom.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_shadow_geom.glsl @@ -1,7 +1,7 @@ #extension GL_ARB_gpu_shader5 : enable #ifdef GL_ARB_gpu_shader5 -#define USE_INVOC_EXT +# define USE_INVOC_EXT #endif #ifdef DOUBLE_MANIFOLD @@ -28,11 +28,13 @@ layout(triangle_strip, max_vertices = vert_len) out; uniform vec3 lightDirection = vec3(0.57, 0.57, -0.57); -in VertexData { - vec3 pos; /* local position */ - vec4 frontPosition; /* final ndc position */ - vec4 backPosition; -} vData[]; +in VertexData +{ + vec3 pos; /* local position */ + vec4 frontPosition; /* final ndc position */ + vec4 backPosition; +} +vData[]; #define DEGENERATE_TRIS_WORKAROUND @@ -40,80 +42,82 @@ in VertexData { void extrude_edge(bool invert) { - /* Reverse order if backfacing the light. */ - ivec2 idx = (invert) ? ivec2(1, 2) : ivec2(2, 1); - gl_Position = vData[idx.x].frontPosition; EmitVertex(); - gl_Position = vData[idx.y].frontPosition; EmitVertex(); - gl_Position = vData[idx.x].backPosition; EmitVertex(); - gl_Position = vData[idx.y].backPosition; EmitVertex(); - EndPrimitive(); + /* Reverse order if backfacing the light. */ + ivec2 idx = (invert) ? ivec2(1, 2) : ivec2(2, 1); + gl_Position = vData[idx.x].frontPosition; + EmitVertex(); + gl_Position = vData[idx.y].frontPosition; + EmitVertex(); + gl_Position = vData[idx.x].backPosition; + EmitVertex(); + gl_Position = vData[idx.y].backPosition; + EmitVertex(); + EndPrimitive(); } void main() { - vec3 v10 = vData[0].pos - vData[1].pos; - vec3 v12 = vData[2].pos - vData[1].pos; - vec3 v13 = vData[3].pos - vData[1].pos; + vec3 v10 = vData[0].pos - vData[1].pos; + vec3 v12 = vData[2].pos - vData[1].pos; + vec3 v13 = vData[3].pos - vData[1].pos; - vec3 n1 = cross(v12, v10); - vec3 n2 = cross(v13, v12); + vec3 n1 = cross(v12, v10); + vec3 n2 = cross(v13, v12); #ifdef DEGENERATE_TRIS_WORKAROUND - /* Check if area is null */ - vec2 faces_area = vec2(len_sqr(n1), len_sqr(n2)); - bvec2 degen_faces = equal(abs(faces_area), vec2(0.0)); - - /* Both triangles are degenerate, abort. */ - if (all(degen_faces)) { - return; - } + /* Check if area is null */ + vec2 faces_area = vec2(len_sqr(n1), len_sqr(n2)); + bvec2 degen_faces = equal(abs(faces_area), vec2(0.0)); + + /* Both triangles are degenerate, abort. */ + if (all(degen_faces)) { + return; + } #endif - vec2 facing = vec2(dot(n1, lightDirection), - dot(n2, lightDirection)); + vec2 facing = vec2(dot(n1, lightDirection), dot(n2, lightDirection)); - /* WATCH: maybe unpredictable in some cases. */ - bool is_manifold = any(notEqual(vData[0].pos, vData[3].pos)); + /* WATCH: maybe unpredictable in some cases. */ + bool is_manifold = any(notEqual(vData[0].pos, vData[3].pos)); - bvec2 backface = greaterThan(facing, vec2(0.0)); + bvec2 backface = greaterThan(facing, vec2(0.0)); #ifdef DEGENERATE_TRIS_WORKAROUND # ifndef DOUBLE_MANIFOLD - /* If the mesh is known to be manifold and we don't use double count, - * only create an quad if the we encounter a facing geom. */ - if ((degen_faces.x && backface.y) || - (degen_faces.y && backface.x)) - return; + /* If the mesh is known to be manifold and we don't use double count, + * only create an quad if the we encounter a facing geom. */ + if ((degen_faces.x && backface.y) || (degen_faces.y && backface.x)) + return; # endif - /* If one of the 2 triangles is degenerate, replace edge by a non-manifold one. */ - backface.x = (degen_faces.x) ? !backface.y : backface.x; - backface.y = (degen_faces.y) ? !backface.x : backface.y; - is_manifold = (any(degen_faces)) ? false : is_manifold; + /* If one of the 2 triangles is degenerate, replace edge by a non-manifold one. */ + backface.x = (degen_faces.x) ? !backface.y : backface.x; + backface.y = (degen_faces.y) ? !backface.x : backface.y; + is_manifold = (any(degen_faces)) ? false : is_manifold; #endif - /* If both faces face the same direction it's not an outline edge. */ - if (backface.x == backface.y) { - return; - } + /* If both faces face the same direction it's not an outline edge. */ + if (backface.x == backface.y) { + return; + } #ifdef USE_INVOC_EXT - if (gl_InvocationID == 0) { - extrude_edge(backface.x); - } - else if (is_manifold) { + if (gl_InvocationID == 0) { + extrude_edge(backface.x); + } + else if (is_manifold) { # ifdef DOUBLE_MANIFOLD - /* Increment/Decrement twice for manifold edges. */ - extrude_edge(backface.x); + /* Increment/Decrement twice for manifold edges. */ + extrude_edge(backface.x); # endif - } + } #else - extrude_edge(backface.x); - if (is_manifold) { + extrude_edge(backface.x); + if (is_manifold) { # ifdef DOUBLE_MANIFOLD - /* Increment/Decrement twice for manifold edges. */ - extrude_edge(backface.x); + /* Increment/Decrement twice for manifold edges. */ + extrude_edge(backface.x); # endif - } + } #endif } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_shadow_vert.glsl b/source/blender/draw/engines/workbench/shaders/workbench_shadow_vert.glsl index 50a721f948f..afd704a7d3a 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_shadow_vert.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_shadow_vert.glsl @@ -7,15 +7,17 @@ uniform float lightDistance = 1e4; in vec3 pos; -out VertexData { - vec3 pos; /* local position */ - vec4 frontPosition; /* final ndc position */ - vec4 backPosition; -} vData; +out VertexData +{ + vec3 pos; /* local position */ + vec4 frontPosition; /* final ndc position */ + vec4 backPosition; +} +vData; void main() { - vData.pos = pos; - vData.frontPosition = ModelViewProjectionMatrix * vec4(pos, 1.0); - vData.backPosition = ModelViewProjectionMatrix * vec4(pos + lightDirection * lightDistance, 1.0); + vData.pos = pos; + vData.frontPosition = ModelViewProjectionMatrix * vec4(pos, 1.0); + vData.backPosition = ModelViewProjectionMatrix * vec4(pos + lightDirection * lightDistance, 1.0); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_volume_frag.glsl b/source/blender/draw/engines/workbench/shaders/workbench_volume_frag.glsl index c99787eaee8..26ebe7a4553 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_volume_frag.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_volume_frag.glsl @@ -15,7 +15,7 @@ uniform sampler1D transferTexture; uniform int samplesLen = 256; uniform float noiseOfs = 0.0f; -uniform float stepLength; /* Step length in local space. */ +uniform float stepLength; /* Step length in local space. */ uniform float densityScale; /* Simple Opacity multiplicator. */ uniform vec4 viewvecs[3]; uniform vec3 activeColor; @@ -29,90 +29,93 @@ in vec3 localPos; out vec4 fragColor; -#define M_PI 3.1415926535897932 /* pi */ +#define M_PI 3.1415926535897932 /* pi */ float phase_function_isotropic() { - return 1.0 / (4.0 * M_PI); + return 1.0 / (4.0 * M_PI); } float get_view_z_from_depth(float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - float d = 2.0 * depth - 1.0; - return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); - } - else { - return viewvecs[0].z + depth * viewvecs[1].z; - } + if (ProjectionMatrix[3][3] == 0.0) { + float d = 2.0 * depth - 1.0; + return -ProjectionMatrix[3][2] / (d + ProjectionMatrix[2][2]); + } + else { + return viewvecs[0].z + depth * viewvecs[1].z; + } } vec3 get_view_space_from_depth(vec2 uvcoords, float depth) { - if (ProjectionMatrix[3][3] == 0.0) { - return vec3(viewvecs[0].xy + uvcoords * viewvecs[1].xy, 1.0) * get_view_z_from_depth(depth); - } - else { - return viewvecs[0].xyz + vec3(uvcoords, depth) * viewvecs[1].xyz; - } + if (ProjectionMatrix[3][3] == 0.0) { + return vec3(viewvecs[0].xy + uvcoords * viewvecs[1].xy, 1.0) * get_view_z_from_depth(depth); + } + else { + return viewvecs[0].xyz + vec3(uvcoords, depth) * viewvecs[1].xyz; + } } -float max_v3(vec3 v) { return max(v.x, max(v.y, v.z)); } +float max_v3(vec3 v) +{ + return max(v.x, max(v.y, v.z)); +} float line_unit_box_intersect_dist(vec3 lineorigin, vec3 linedirection) { - /* https://seblagarde.wordpress.com/2012/09/29/image-based-lighting-approaches-and-parallax-corrected-cubemap/ */ - vec3 firstplane = (vec3( 1.0) - lineorigin) / linedirection; - vec3 secondplane = (vec3(-1.0) - lineorigin) / linedirection; - vec3 furthestplane = min(firstplane, secondplane); - return max_v3(furthestplane); + /* https://seblagarde.wordpress.com/2012/09/29/image-based-lighting-approaches-and-parallax-corrected-cubemap/ */ + vec3 firstplane = (vec3(1.0) - lineorigin) / linedirection; + vec3 secondplane = (vec3(-1.0) - lineorigin) / linedirection; + vec3 furthestplane = min(firstplane, secondplane); + return max_v3(furthestplane); } #define sample_trilinear(ima, co) texture(ima, co) vec4 sample_tricubic(sampler3D ima, vec3 co) { - vec3 tex_size = vec3(textureSize(ima, 0).xyz); - - co *= tex_size; - /* texel center */ - vec3 tc = floor(co - 0.5) + 0.5; - vec3 f = co - tc; - vec3 f2 = f * f; - vec3 f3 = f2 * f; - /* Bspline coefs (optimized) */ - vec3 w3 = f3 / 6.0; - vec3 w0 = -w3 + f2 * 0.5 - f * 0.5 + 1.0 / 6.0; - vec3 w1 = f3 * 0.5 - f2 + 2.0 / 3.0; - vec3 w2 = 1.0 - w0 - w1 - w3; - - vec3 s0 = w0 + w1; - vec3 s1 = w2 + w3; - - vec3 f0 = w1 / (w0 + w1); - vec3 f1 = w3 / (w2 + w3); - - vec2 final_z; - vec4 final_co; - final_co.xy = tc.xy - 1.0 + f0.xy; - final_co.zw = tc.xy + 1.0 + f1.xy; - final_z = tc.zz + vec2(-1.0, 1.0) + vec2(f0.z, f1.z); - - final_co /= tex_size.xyxy; - final_z /= tex_size.zz; - - vec4 color; - color = texture(ima, vec3(final_co.xy, final_z.x)) * s0.x * s0.y * s0.z; - color += texture(ima, vec3(final_co.zy, final_z.x)) * s1.x * s0.y * s0.z; - color += texture(ima, vec3(final_co.xw, final_z.x)) * s0.x * s1.y * s0.z; - color += texture(ima, vec3(final_co.zw, final_z.x)) * s1.x * s1.y * s0.z; - - color += texture(ima, vec3(final_co.xy, final_z.y)) * s0.x * s0.y * s1.z; - color += texture(ima, vec3(final_co.zy, final_z.y)) * s1.x * s0.y * s1.z; - color += texture(ima, vec3(final_co.xw, final_z.y)) * s0.x * s1.y * s1.z; - color += texture(ima, vec3(final_co.zw, final_z.y)) * s1.x * s1.y * s1.z; - - return color; + vec3 tex_size = vec3(textureSize(ima, 0).xyz); + + co *= tex_size; + /* texel center */ + vec3 tc = floor(co - 0.5) + 0.5; + vec3 f = co - tc; + vec3 f2 = f * f; + vec3 f3 = f2 * f; + /* Bspline coefs (optimized) */ + vec3 w3 = f3 / 6.0; + vec3 w0 = -w3 + f2 * 0.5 - f * 0.5 + 1.0 / 6.0; + vec3 w1 = f3 * 0.5 - f2 + 2.0 / 3.0; + vec3 w2 = 1.0 - w0 - w1 - w3; + + vec3 s0 = w0 + w1; + vec3 s1 = w2 + w3; + + vec3 f0 = w1 / (w0 + w1); + vec3 f1 = w3 / (w2 + w3); + + vec2 final_z; + vec4 final_co; + final_co.xy = tc.xy - 1.0 + f0.xy; + final_co.zw = tc.xy + 1.0 + f1.xy; + final_z = tc.zz + vec2(-1.0, 1.0) + vec2(f0.z, f1.z); + + final_co /= tex_size.xyxy; + final_z /= tex_size.zz; + + vec4 color; + color = texture(ima, vec3(final_co.xy, final_z.x)) * s0.x * s0.y * s0.z; + color += texture(ima, vec3(final_co.zy, final_z.x)) * s1.x * s0.y * s0.z; + color += texture(ima, vec3(final_co.xw, final_z.x)) * s0.x * s1.y * s0.z; + color += texture(ima, vec3(final_co.zw, final_z.x)) * s1.x * s1.y * s0.z; + + color += texture(ima, vec3(final_co.xy, final_z.y)) * s0.x * s0.y * s1.z; + color += texture(ima, vec3(final_co.zy, final_z.y)) * s1.x * s0.y * s1.z; + color += texture(ima, vec3(final_co.xw, final_z.y)) * s0.x * s1.y * s1.z; + color += texture(ima, vec3(final_co.zw, final_z.y)) * s1.x * s1.y * s1.z; + + return color; } #ifdef USE_TRICUBIC @@ -123,127 +126,126 @@ vec4 sample_tricubic(sampler3D ima, vec3 co) void volume_properties(vec3 ls_pos, out vec3 scattering, out float extinction) { - vec3 co = ls_pos * 0.5 + 0.5; + vec3 co = ls_pos * 0.5 + 0.5; #ifdef USE_COBA - float val = sample_volume_texture(densityTexture, co).r; - vec4 tval = texture(transferTexture, val) * densityScale; - tval.rgb = pow(tval.rgb, vec3(2.2)); - scattering = tval.rgb * 1500.0; - extinction = max(1e-4, tval.a * 50.0); + float val = sample_volume_texture(densityTexture, co).r; + vec4 tval = texture(transferTexture, val) * densityScale; + tval.rgb = pow(tval.rgb, vec3(2.2)); + scattering = tval.rgb * 1500.0; + extinction = max(1e-4, tval.a * 50.0); #else - float flame = sample_volume_texture(flameTexture, co).r; - vec4 emission = texture(flameColorTexture, flame); - float shadows = sample_volume_texture(shadowTexture, co).r; - vec4 density = sample_volume_texture(densityTexture, co); /* rgb: color, a: density */ + float flame = sample_volume_texture(flameTexture, co).r; + vec4 emission = texture(flameColorTexture, flame); + float shadows = sample_volume_texture(shadowTexture, co).r; + vec4 density = sample_volume_texture(densityTexture, co); /* rgb: color, a: density */ - scattering = density.rgb * (density.a * densityScale) * activeColor; - extinction = max(1e-4, dot(scattering, vec3(0.33333))); + scattering = density.rgb * (density.a * densityScale) * activeColor; + extinction = max(1e-4, dot(scattering, vec3(0.33333))); - /* Scale shadows in log space and clamp them to avoid completely black shadows. */ - scattering *= exp(clamp(log(shadows) * densityScale * 0.1, -2.5, 0.0)) * M_PI; + /* Scale shadows in log space and clamp them to avoid completely black shadows. */ + scattering *= exp(clamp(log(shadows) * densityScale * 0.1, -2.5, 0.0)) * M_PI; - /* 800 is arbitrary and here to mimic old viewport. TODO make it a parameter */ - scattering += pow(emission.rgb, vec3(2.2)) * emission.a * 800.0; + /* 800 is arbitrary and here to mimic old viewport. TODO make it a parameter */ + scattering += pow(emission.rgb, vec3(2.2)) * emission.a * 800.0; #endif } void eval_volume_step(inout vec3 Lscat, float extinction, float step_len, out float Tr) { - Lscat *= phase_function_isotropic(); - /* Evaluate Scattering */ - Tr = exp(-extinction * step_len); - /* integrate along the current step segment */ - Lscat = (Lscat - Lscat * Tr) / extinction; + Lscat *= phase_function_isotropic(); + /* Evaluate Scattering */ + Tr = exp(-extinction * step_len); + /* integrate along the current step segment */ + Lscat = (Lscat - Lscat * Tr) / extinction; } #define P(x) ((x + 0.5) * (1.0 / 16.0)) -const vec4 dither_mat[4] = vec4[4]( - vec4( P(0.0), P(8.0), P(2.0), P(10.0)), - vec4(P(12.0), P(4.0), P(14.0), P(6.0)), - vec4( P(3.0), P(11.0), P(1.0), P(9.0)), - vec4(P(15.0), P(7.0), P(13.0), P(5.0)) -); - -vec4 volume_integration( - vec3 ray_ori, vec3 ray_dir, float ray_inc, float ray_max, float step_len) +const vec4 dither_mat[4] = vec4[4](vec4(P(0.0), P(8.0), P(2.0), P(10.0)), + vec4(P(12.0), P(4.0), P(14.0), P(6.0)), + vec4(P(3.0), P(11.0), P(1.0), P(9.0)), + vec4(P(15.0), P(7.0), P(13.0), P(5.0))); + +vec4 volume_integration(vec3 ray_ori, vec3 ray_dir, float ray_inc, float ray_max, float step_len) { - /* Start with full transmittance and no scattered light. */ - vec3 final_scattering = vec3(0.0); - float final_transmittance = 1.0; - - ivec2 tx = ivec2(gl_FragCoord.xy) % 4; - float noise = fract(dither_mat[tx.x][tx.y] + noiseOfs); - - float ray_len = noise * ray_inc; - for (int i = 0; i < samplesLen && ray_len < ray_max; ++i, ray_len += ray_inc) { - vec3 ls_pos = ray_ori + ray_dir * ray_len; - - vec3 Lscat; - float s_extinction, Tr; - volume_properties(ls_pos, Lscat, s_extinction); - eval_volume_step(Lscat, s_extinction, step_len, Tr); - /* accumulate and also take into account the transmittance from previous steps */ - final_scattering += final_transmittance * Lscat; - final_transmittance *= Tr; - } - - return vec4(final_scattering, final_transmittance); + /* Start with full transmittance and no scattered light. */ + vec3 final_scattering = vec3(0.0); + float final_transmittance = 1.0; + + ivec2 tx = ivec2(gl_FragCoord.xy) % 4; + float noise = fract(dither_mat[tx.x][tx.y] + noiseOfs); + + float ray_len = noise * ray_inc; + for (int i = 0; i < samplesLen && ray_len < ray_max; ++i, ray_len += ray_inc) { + vec3 ls_pos = ray_ori + ray_dir * ray_len; + + vec3 Lscat; + float s_extinction, Tr; + volume_properties(ls_pos, Lscat, s_extinction); + eval_volume_step(Lscat, s_extinction, step_len, Tr); + /* accumulate and also take into account the transmittance from previous steps */ + final_scattering += final_transmittance * Lscat; + final_transmittance *= Tr; + } + + return vec4(final_scattering, final_transmittance); } void main() { #ifdef VOLUME_SLICE - /* Manual depth test. TODO remove. */ - float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; - if (gl_FragCoord.z >= depth) { - discard; - } - - vec3 Lscat; - float s_extinction, Tr; - volume_properties(localPos, Lscat, s_extinction); - eval_volume_step(Lscat, s_extinction, stepLength, Tr); - - fragColor = vec4(Lscat, Tr); + /* Manual depth test. TODO remove. */ + float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; + if (gl_FragCoord.z >= depth) { + discard; + } + + vec3 Lscat; + float s_extinction, Tr; + volume_properties(localPos, Lscat, s_extinction); + eval_volume_step(Lscat, s_extinction, stepLength, Tr); + + fragColor = vec4(Lscat, Tr); #else - vec2 screen_uv = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0).xy); - bool is_persp = ProjectionMatrix[3][3] == 0.0; - - vec3 volume_center = ModelMatrix[3].xyz; - - float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; - float depth_end = min(depth, gl_FragCoord.z); - vec3 vs_ray_end = get_view_space_from_depth(screen_uv, depth_end); - vec3 vs_ray_ori = get_view_space_from_depth(screen_uv, 0.0); - vec3 vs_ray_dir = (is_persp) ? (vs_ray_end - vs_ray_ori) : vec3(0.0, 0.0, -1.0); - vs_ray_dir /= abs(vs_ray_dir.z); - - vec3 ls_ray_dir = mat3(ModelViewMatrixInverse) * vs_ray_dir * OrcoTexCoFactors[1] * 2.0; - vec3 ls_ray_ori = (ModelViewMatrixInverse * vec4(vs_ray_ori, 1.0)).xyz; - vec3 ls_ray_end = (ModelViewMatrixInverse * vec4(vs_ray_end, 1.0)).xyz; - - ls_ray_ori = (OrcoTexCoFactors[0] + ls_ray_ori * OrcoTexCoFactors[1]) * 2.0 - 1.0; - ls_ray_end = (OrcoTexCoFactors[0] + ls_ray_end * OrcoTexCoFactors[1]) * 2.0 - 1.0; - - /* TODO: Align rays to volume center so that it mimics old behaviour of slicing the volume. */ - - float dist = line_unit_box_intersect_dist(ls_ray_ori, ls_ray_dir); - if (dist > 0.0) { - ls_ray_ori = ls_ray_dir * dist + ls_ray_ori; - } - - vec3 ls_vol_isect = ls_ray_end - ls_ray_ori; - if (dot(ls_ray_dir, ls_vol_isect) < 0.0) { - /* Start is further away than the end. - * That means no volume is intersected. */ - discard; - } - - fragColor = volume_integration(ls_ray_ori, ls_ray_dir, stepLength, - length(ls_vol_isect) / length(ls_ray_dir), - length(vs_ray_dir) * stepLength); + vec2 screen_uv = gl_FragCoord.xy / vec2(textureSize(depthBuffer, 0).xy); + bool is_persp = ProjectionMatrix[3][3] == 0.0; + + vec3 volume_center = ModelMatrix[3].xyz; + + float depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; + float depth_end = min(depth, gl_FragCoord.z); + vec3 vs_ray_end = get_view_space_from_depth(screen_uv, depth_end); + vec3 vs_ray_ori = get_view_space_from_depth(screen_uv, 0.0); + vec3 vs_ray_dir = (is_persp) ? (vs_ray_end - vs_ray_ori) : vec3(0.0, 0.0, -1.0); + vs_ray_dir /= abs(vs_ray_dir.z); + + vec3 ls_ray_dir = mat3(ModelViewMatrixInverse) * vs_ray_dir * OrcoTexCoFactors[1] * 2.0; + vec3 ls_ray_ori = (ModelViewMatrixInverse * vec4(vs_ray_ori, 1.0)).xyz; + vec3 ls_ray_end = (ModelViewMatrixInverse * vec4(vs_ray_end, 1.0)).xyz; + + ls_ray_ori = (OrcoTexCoFactors[0] + ls_ray_ori * OrcoTexCoFactors[1]) * 2.0 - 1.0; + ls_ray_end = (OrcoTexCoFactors[0] + ls_ray_end * OrcoTexCoFactors[1]) * 2.0 - 1.0; + + /* TODO: Align rays to volume center so that it mimics old behaviour of slicing the volume. */ + + float dist = line_unit_box_intersect_dist(ls_ray_ori, ls_ray_dir); + if (dist > 0.0) { + ls_ray_ori = ls_ray_dir * dist + ls_ray_ori; + } + + vec3 ls_vol_isect = ls_ray_end - ls_ray_ori; + if (dot(ls_ray_dir, ls_vol_isect) < 0.0) { + /* Start is further away than the end. + * That means no volume is intersected. */ + discard; + } + + fragColor = volume_integration(ls_ray_ori, + ls_ray_dir, + stepLength, + length(ls_vol_isect) / length(ls_ray_dir), + length(vs_ray_dir) * stepLength); #endif - /* Convert transmitance to alpha so we can use premul blending. */ - fragColor.a = 1.0 - fragColor.a; + /* Convert transmitance to alpha so we can use premul blending. */ + fragColor.a = 1.0 - fragColor.a; } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_volume_vert.glsl b/source/blender/draw/engines/workbench/shaders/workbench_volume_vert.glsl index 7ce21c3d5ca..7a418243fd3 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_volume_vert.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_volume_vert.glsl @@ -15,19 +15,19 @@ out vec3 localPos; void main() { #ifdef VOLUME_SLICE - if (sliceAxis == 0) { - localPos = vec3(slicePosition * 2.0 - 1.0, pos.xy); - } - else if (sliceAxis == 1) { - localPos = vec3(pos.x, slicePosition * 2.0 - 1.0, pos.y); - } - else { - localPos = vec3(pos.xy, slicePosition * 2.0 - 1.0); - } - vec3 final_pos = localPos; + if (sliceAxis == 0) { + localPos = vec3(slicePosition * 2.0 - 1.0, pos.xy); + } + else if (sliceAxis == 1) { + localPos = vec3(pos.x, slicePosition * 2.0 - 1.0, pos.y); + } + else { + localPos = vec3(pos.xy, slicePosition * 2.0 - 1.0); + } + vec3 final_pos = localPos; #else - vec3 final_pos = pos; + vec3 final_pos = pos; #endif - final_pos = ((final_pos * 0.5 + 0.5) - OrcoTexCoFactors[0]) / OrcoTexCoFactors[1]; - gl_Position = ModelViewProjectionMatrix * vec4(final_pos, 1.0); + final_pos = ((final_pos * 0.5 + 0.5) - OrcoTexCoFactors[0]) / OrcoTexCoFactors[1]; + gl_Position = ModelViewProjectionMatrix * vec4(final_pos, 1.0); } diff --git a/source/blender/draw/engines/workbench/shaders/workbench_world_light_lib.glsl b/source/blender/draw/engines/workbench/shaders/workbench_world_light_lib.glsl index 8792c646ec1..690ce5d527f 100644 --- a/source/blender/draw/engines/workbench/shaders/workbench_world_light_lib.glsl +++ b/source/blender/draw/engines/workbench/shaders/workbench_world_light_lib.glsl @@ -2,113 +2,108 @@ /* [Drobot2014a] Low Level Optimizations for GCN */ vec4 fast_rcp(vec4 v) { - return intBitsToFloat(0x7eef370b - floatBitsToInt(v)); + return intBitsToFloat(0x7eef370b - floatBitsToInt(v)); } vec3 brdf_approx(vec3 spec_color, float roughness, float NV) { - /* Very rough own approx. We don't need it to be correct, just fast. - * Just simulate fresnel effect with roughness attenuation. */ - float fresnel = exp2(-8.35 * NV) * (1.0 - roughness); - return mix(spec_color, vec3(1.0), fresnel); + /* Very rough own approx. We don't need it to be correct, just fast. + * Just simulate fresnel effect with roughness attenuation. */ + float fresnel = exp2(-8.35 * NV) * (1.0 - roughness); + return mix(spec_color, vec3(1.0), fresnel); } void prep_specular( - vec3 L, vec3 I, vec3 N, vec3 R, - out float NL, out float wrapped_NL, out float spec_angle) + vec3 L, vec3 I, vec3 N, vec3 R, out float NL, out float wrapped_NL, out float spec_angle) { - wrapped_NL = dot(L, R); - vec3 half_dir = normalize(L + I); - spec_angle = clamp(dot(half_dir, N), 0.0, 1.0); - NL = clamp(dot(L, N), 0.0, 1.0); + wrapped_NL = dot(L, R); + vec3 half_dir = normalize(L + I); + spec_angle = clamp(dot(half_dir, N), 0.0, 1.0); + NL = clamp(dot(L, N), 0.0, 1.0); } /* Normalized Blinn shading */ vec4 blinn_specular(vec4 shininess, vec4 spec_angle, vec4 NL) { - /* Pi is already divided in the light power. - * normalization_factor = (shininess + 8.0) / (8.0 * M_PI) */ - vec4 normalization_factor = shininess * 0.125 + 1.0; - vec4 spec_light = pow(spec_angle, shininess) * NL * normalization_factor; + /* Pi is already divided in the light power. + * normalization_factor = (shininess + 8.0) / (8.0 * M_PI) */ + vec4 normalization_factor = shininess * 0.125 + 1.0; + vec4 spec_light = pow(spec_angle, shininess) * NL * normalization_factor; - return spec_light; + return spec_light; } /* NL need to be unclamped. w in [0..1] range. */ vec4 wrapped_lighting(vec4 NL, vec4 w) { - vec4 w_1 = w + 1.0; - vec4 denom = fast_rcp(w_1 * w_1); - return clamp((NL + w) * denom, 0.0, 1.0); + vec4 w_1 = w + 1.0; + vec4 denom = fast_rcp(w_1 * w_1); + return clamp((NL + w) * denom, 0.0, 1.0); } vec3 get_world_lighting( - WorldData world_data, - vec3 diffuse_color, vec3 specular_color, float roughness, - vec3 N, vec3 I) + WorldData world_data, vec3 diffuse_color, vec3 specular_color, float roughness, vec3 N, vec3 I) { - vec3 specular_light = world_data.ambient_color.rgb; - vec3 diffuse_light = world_data.ambient_color.rgb; - vec4 wrap = vec4( - world_data.lights[0].diffuse_color_wrap.a, - world_data.lights[1].diffuse_color_wrap.a, - world_data.lights[2].diffuse_color_wrap.a, - world_data.lights[3].diffuse_color_wrap.a - ); + vec3 specular_light = world_data.ambient_color.rgb; + vec3 diffuse_light = world_data.ambient_color.rgb; + vec4 wrap = vec4(world_data.lights[0].diffuse_color_wrap.a, + world_data.lights[1].diffuse_color_wrap.a, + world_data.lights[2].diffuse_color_wrap.a, + world_data.lights[3].diffuse_color_wrap.a); #ifdef V3D_SHADING_SPECULAR_HIGHLIGHT - /* Prepare Specular computation. Eval 4 lights at once. */ - vec3 R = -reflect(I, N); - vec4 spec_angle, spec_NL, wrap_NL; - prep_specular(world_data.lights[0].direction.xyz, I, N, R, spec_NL.x, wrap_NL.x, spec_angle.x); - prep_specular(world_data.lights[1].direction.xyz, I, N, R, spec_NL.y, wrap_NL.y, spec_angle.y); - prep_specular(world_data.lights[2].direction.xyz, I, N, R, spec_NL.z, wrap_NL.z, spec_angle.z); - prep_specular(world_data.lights[3].direction.xyz, I, N, R, spec_NL.w, wrap_NL.w, spec_angle.w); - - vec4 gloss = vec4(1.0 - roughness); - /* Reduce gloss for smooth light. (simulate bigger light) */ - gloss *= 1.0 - wrap; - vec4 shininess = exp2(10.0 * gloss + 1.0); - - vec4 spec_light = blinn_specular(shininess, spec_angle, spec_NL); - - /* Simulate Env. light. */ - vec4 w = mix(wrap, vec4(1.0), roughness); - vec4 spec_env = wrapped_lighting(wrap_NL, w); - - spec_light = mix(spec_light, spec_env, wrap * wrap); - - /* Multiply result by lights specular colors. */ - specular_light += spec_light.x * world_data.lights[0].specular_color.rgb; - specular_light += spec_light.y * world_data.lights[1].specular_color.rgb; - specular_light += spec_light.z * world_data.lights[2].specular_color.rgb; - specular_light += spec_light.w * world_data.lights[3].specular_color.rgb; - - float NV = clamp(dot(N, I), 0.0, 1.0); - specular_color = brdf_approx(specular_color, roughness, NV); + /* Prepare Specular computation. Eval 4 lights at once. */ + vec3 R = -reflect(I, N); + vec4 spec_angle, spec_NL, wrap_NL; + prep_specular(world_data.lights[0].direction.xyz, I, N, R, spec_NL.x, wrap_NL.x, spec_angle.x); + prep_specular(world_data.lights[1].direction.xyz, I, N, R, spec_NL.y, wrap_NL.y, spec_angle.y); + prep_specular(world_data.lights[2].direction.xyz, I, N, R, spec_NL.z, wrap_NL.z, spec_angle.z); + prep_specular(world_data.lights[3].direction.xyz, I, N, R, spec_NL.w, wrap_NL.w, spec_angle.w); + + vec4 gloss = vec4(1.0 - roughness); + /* Reduce gloss for smooth light. (simulate bigger light) */ + gloss *= 1.0 - wrap; + vec4 shininess = exp2(10.0 * gloss + 1.0); + + vec4 spec_light = blinn_specular(shininess, spec_angle, spec_NL); + + /* Simulate Env. light. */ + vec4 w = mix(wrap, vec4(1.0), roughness); + vec4 spec_env = wrapped_lighting(wrap_NL, w); + + spec_light = mix(spec_light, spec_env, wrap * wrap); + + /* Multiply result by lights specular colors. */ + specular_light += spec_light.x * world_data.lights[0].specular_color.rgb; + specular_light += spec_light.y * world_data.lights[1].specular_color.rgb; + specular_light += spec_light.z * world_data.lights[2].specular_color.rgb; + specular_light += spec_light.w * world_data.lights[3].specular_color.rgb; + + float NV = clamp(dot(N, I), 0.0, 1.0); + specular_color = brdf_approx(specular_color, roughness, NV); #endif - specular_light *= specular_color; + specular_light *= specular_color; - /* Prepare diffuse computation. Eval 4 lights at once. */ - vec4 diff_NL; - diff_NL.x = dot(world_data.lights[0].direction.xyz, N); - diff_NL.y = dot(world_data.lights[1].direction.xyz, N); - diff_NL.z = dot(world_data.lights[2].direction.xyz, N); - diff_NL.w = dot(world_data.lights[3].direction.xyz, N); + /* Prepare diffuse computation. Eval 4 lights at once. */ + vec4 diff_NL; + diff_NL.x = dot(world_data.lights[0].direction.xyz, N); + diff_NL.y = dot(world_data.lights[1].direction.xyz, N); + diff_NL.z = dot(world_data.lights[2].direction.xyz, N); + diff_NL.w = dot(world_data.lights[3].direction.xyz, N); - vec4 diff_light = wrapped_lighting(diff_NL, wrap); + vec4 diff_light = wrapped_lighting(diff_NL, wrap); - /* Multiply result by lights diffuse colors. */ - diffuse_light += diff_light.x * world_data.lights[0].diffuse_color_wrap.rgb; - diffuse_light += diff_light.y * world_data.lights[1].diffuse_color_wrap.rgb; - diffuse_light += diff_light.z * world_data.lights[2].diffuse_color_wrap.rgb; - diffuse_light += diff_light.w * world_data.lights[3].diffuse_color_wrap.rgb; + /* Multiply result by lights diffuse colors. */ + diffuse_light += diff_light.x * world_data.lights[0].diffuse_color_wrap.rgb; + diffuse_light += diff_light.y * world_data.lights[1].diffuse_color_wrap.rgb; + diffuse_light += diff_light.z * world_data.lights[2].diffuse_color_wrap.rgb; + diffuse_light += diff_light.w * world_data.lights[3].diffuse_color_wrap.rgb; - /* Energy conservation with colored specular look strange. - * Limit this strangeness by using mono-chromatic specular intensity. */ - float spec_energy = dot(specular_color, vec3(0.33333)); + /* Energy conservation with colored specular look strange. + * Limit this strangeness by using mono-chromatic specular intensity. */ + float spec_energy = dot(specular_color, vec3(0.33333)); - diffuse_light *= diffuse_color * (1.0 - spec_energy); + diffuse_light *= diffuse_color * (1.0 - spec_energy); - return diffuse_light + specular_light; + return diffuse_light + specular_light; } diff --git a/source/blender/draw/engines/workbench/solid_mode.c b/source/blender/draw/engines/workbench/solid_mode.c index 4e69788457a..a01b14f17fb 100644 --- a/source/blender/draw/engines/workbench/solid_mode.c +++ b/source/blender/draw/engines/workbench/solid_mode.c @@ -35,78 +35,83 @@ static void workbench_solid_engine_init(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_deferred_engine_init(data); + WORKBENCH_Data *data = vedata; + workbench_deferred_engine_init(data); } static void workbench_solid_cache_init(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_deferred_cache_init(data); + WORKBENCH_Data *data = vedata; + workbench_deferred_cache_init(data); } static void workbench_solid_cache_populate(void *vedata, Object *ob) { - WORKBENCH_Data *data = vedata; - workbench_deferred_solid_cache_populate(data, ob); + WORKBENCH_Data *data = vedata; + workbench_deferred_solid_cache_populate(data, ob); } static void workbench_solid_cache_finish(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_deferred_cache_finish(data); + WORKBENCH_Data *data = vedata; + workbench_deferred_cache_finish(data); } static void workbench_solid_draw_background(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_deferred_draw_background(data); - workbench_deferred_draw_scene(data); - workbench_deferred_draw_finish(data); + WORKBENCH_Data *data = vedata; + workbench_deferred_draw_background(data); + workbench_deferred_draw_scene(data); + workbench_deferred_draw_finish(data); } static void workbench_solid_engine_free(void) { - workbench_deferred_engine_free(); + workbench_deferred_engine_free(); } static void workbench_solid_view_update(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_taa_view_updated(data); + WORKBENCH_Data *data = vedata; + workbench_taa_view_updated(data); } static void workbench_solid_id_update(void *UNUSED(vedata), struct ID *id) { - if (GS(id->name) == ID_OB) { - WORKBENCH_ObjectData *oed = (WORKBENCH_ObjectData *)DRW_drawdata_get(id, &draw_engine_workbench_solid); - if (oed != NULL && oed->dd.recalc != 0) { - oed->shadow_bbox_dirty = (oed->dd.recalc & ID_RECALC_ALL) != 0; - oed->dd.recalc = 0; - } - } + if (GS(id->name) == ID_OB) { + WORKBENCH_ObjectData *oed = (WORKBENCH_ObjectData *)DRW_drawdata_get( + id, &draw_engine_workbench_solid); + if (oed != NULL && oed->dd.recalc != 0) { + oed->shadow_bbox_dirty = (oed->dd.recalc & ID_RECALC_ALL) != 0; + oed->dd.recalc = 0; + } + } } -static void workbench_render_to_image(void *vedata, RenderEngine *engine, RenderLayer *render_layer, const rcti *rect) +static void workbench_render_to_image(void *vedata, + RenderEngine *engine, + RenderLayer *render_layer, + const rcti *rect) { - workbench_render(vedata, engine, render_layer, rect); + workbench_render(vedata, engine, render_layer, rect); } static const DrawEngineDataSize workbench_data_size = DRW_VIEWPORT_DATA_SIZE(WORKBENCH_Data); DrawEngineType draw_engine_workbench_solid = { - NULL, NULL, - N_("Workbench"), - &workbench_data_size, - &workbench_solid_engine_init, - &workbench_solid_engine_free, - &workbench_solid_cache_init, - &workbench_solid_cache_populate, - &workbench_solid_cache_finish, - &workbench_solid_draw_background, - NULL, - &workbench_solid_view_update, - &workbench_solid_id_update, - &workbench_render_to_image, + NULL, + NULL, + N_("Workbench"), + &workbench_data_size, + &workbench_solid_engine_init, + &workbench_solid_engine_free, + &workbench_solid_cache_init, + &workbench_solid_cache_populate, + &workbench_solid_cache_finish, + &workbench_solid_draw_background, + NULL, + &workbench_solid_view_update, + &workbench_solid_id_update, + &workbench_render_to_image, }; diff --git a/source/blender/draw/engines/workbench/transparent_mode.c b/source/blender/draw/engines/workbench/transparent_mode.c index c3b118d4660..0f4150ff986 100644 --- a/source/blender/draw/engines/workbench/transparent_mode.c +++ b/source/blender/draw/engines/workbench/transparent_mode.c @@ -33,62 +33,63 @@ static void workbench_transparent_engine_init(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_forward_engine_init(data); + WORKBENCH_Data *data = vedata; + workbench_forward_engine_init(data); } static void workbench_transparent_cache_init(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_forward_cache_init(data); + WORKBENCH_Data *data = vedata; + workbench_forward_cache_init(data); } static void workbench_transparent_cache_populate(void *vedata, Object *ob) { - WORKBENCH_Data *data = vedata; - workbench_forward_cache_populate(data, ob); + WORKBENCH_Data *data = vedata; + workbench_forward_cache_populate(data, ob); } static void workbench_transparent_cache_finish(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_forward_cache_finish(data); + WORKBENCH_Data *data = vedata; + workbench_forward_cache_finish(data); } static void workbench_transparent_draw_background(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_forward_draw_background(data); - workbench_forward_draw_scene(data); - workbench_forward_draw_finish(data); + WORKBENCH_Data *data = vedata; + workbench_forward_draw_background(data); + workbench_forward_draw_scene(data); + workbench_forward_draw_finish(data); } static void workbench_transparent_engine_free(void) { - workbench_forward_engine_free(); + workbench_forward_engine_free(); } static void workbench_transparent_view_update(void *vedata) { - WORKBENCH_Data *data = vedata; - workbench_taa_view_updated(data); + WORKBENCH_Data *data = vedata; + workbench_taa_view_updated(data); } static const DrawEngineDataSize workbench_data_size = DRW_VIEWPORT_DATA_SIZE(WORKBENCH_Data); DrawEngineType draw_engine_workbench_transparent = { - NULL, NULL, - N_("Workbench"), - &workbench_data_size, - &workbench_transparent_engine_init, - &workbench_transparent_engine_free, - &workbench_transparent_cache_init, - &workbench_transparent_cache_populate, - &workbench_transparent_cache_finish, - &workbench_transparent_draw_background, - NULL, - &workbench_transparent_view_update, - NULL, - NULL, + NULL, + NULL, + N_("Workbench"), + &workbench_data_size, + &workbench_transparent_engine_init, + &workbench_transparent_engine_free, + &workbench_transparent_cache_init, + &workbench_transparent_cache_populate, + &workbench_transparent_cache_finish, + &workbench_transparent_draw_background, + NULL, + &workbench_transparent_view_update, + NULL, + NULL, }; diff --git a/source/blender/draw/engines/workbench/workbench_data.c b/source/blender/draw/engines/workbench/workbench_data.c index 38b05133487..7728b3f998b 100644 --- a/source/blender/draw/engines/workbench/workbench_data.c +++ b/source/blender/draw/engines/workbench/workbench_data.c @@ -28,214 +28,209 @@ #include "GPU_batch.h" - void workbench_effect_info_init(WORKBENCH_EffectInfo *effect_info) { - effect_info->jitter_index = 0; - effect_info->view_updated = true; + effect_info->jitter_index = 0; + effect_info->view_updated = true; } void workbench_private_data_init(WORKBENCH_PrivateData *wpd) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene = draw_ctx->scene; - wpd->material_hash = BLI_ghash_ptr_new(__func__); - wpd->material_transp_hash = BLI_ghash_ptr_new(__func__); - wpd->preferences = &U; - - View3D *v3d = draw_ctx->v3d; - if (!v3d) { - wpd->shading = scene->display.shading; - wpd->use_color_render_settings = true; - } - else if (v3d->shading.type == OB_RENDER && - BKE_scene_uses_blender_workbench(scene)) - { - wpd->shading = scene->display.shading; - wpd->use_color_render_settings = true; - } - else { - wpd->shading = v3d->shading; - wpd->use_color_render_settings = false; - } - - wpd->use_color_management = BKE_scene_check_color_management_enabled(scene); - - if (wpd->shading.light == V3D_LIGHTING_MATCAP) { - wpd->studio_light = BKE_studiolight_find( - wpd->shading.matcap, STUDIOLIGHT_TYPE_MATCAP); - } - else { - wpd->studio_light = BKE_studiolight_find( - wpd->shading.studio_light, STUDIOLIGHT_TYPE_STUDIO); - } - - /* If matcaps are missing, use this as fallback. */ - if (UNLIKELY(wpd->studio_light == NULL)) { - wpd->studio_light = BKE_studiolight_find( - wpd->shading.studio_light, STUDIOLIGHT_TYPE_STUDIO); - } - - - float shadow_focus = scene->display.shadow_focus; - /* Clamp to avoid overshadowing and shading errors. */ - CLAMP(shadow_focus, 0.0001f, 0.99999f); - wpd->shadow_shift = scene->display.shadow_shift; - wpd->shadow_focus = 1.0f - shadow_focus * (1.0f - wpd->shadow_shift); - wpd->shadow_multiplier = 1.0 - wpd->shading.shadow_intensity; - - WORKBENCH_UBO_World *wd = &wpd->world_data; - wd->matcap_orientation = (wpd->shading.flag & V3D_SHADING_MATCAP_FLIP_X) != 0; - wd->background_alpha = (DRW_state_is_image_render() && scene->r.alphamode == R_ALPHAPREMUL) ? 0.0f : 1.0f; - - if ((scene->world != NULL) && - (!v3d || (v3d && ((v3d->shading.background_type == V3D_SHADING_BACKGROUND_WORLD) || - (v3d->shading.type == OB_RENDER))))) - { - copy_v3_v3(wd->background_color_low, &scene->world->horr); - copy_v3_v3(wd->background_color_high, &scene->world->horr); - } - else if (v3d && (v3d->shading.background_type == V3D_SHADING_BACKGROUND_VIEWPORT)) { - copy_v3_v3(wd->background_color_low, v3d->shading.background_color); - copy_v3_v3(wd->background_color_high, v3d->shading.background_color); - } - else if (v3d) { - UI_GetThemeColor3fv(UI_GetThemeValue(TH_SHOW_BACK_GRAD) ? TH_BACK_GRAD : TH_BACK, wd->background_color_low); - UI_GetThemeColor3fv(TH_BACK, wd->background_color_high); - - /* XXX: Really quick conversion to avoid washed out background. - * Needs to be addressed properly (color managed using ocio). */ - if (wpd->use_color_management) { - srgb_to_linearrgb_v3_v3(wd->background_color_high, wd->background_color_high); - srgb_to_linearrgb_v3_v3(wd->background_color_low, wd->background_color_low); - } - else { - copy_v3_v3(wd->background_color_high, wd->background_color_high); - copy_v3_v3(wd->background_color_low, wd->background_color_low); - } - } - else { - zero_v3(wd->background_color_low); - zero_v3(wd->background_color_high); - } - - studiolight_update_world(wpd, wpd->studio_light, wd); - - copy_v3_v3(wd->object_outline_color, wpd->shading.object_outline_color); - wd->object_outline_color[3] = 1.0f; - - wd->curvature_ridge = 0.5f / max_ff(SQUARE(wpd->shading.curvature_ridge_factor), 1e-4f); - wd->curvature_valley = 0.7f / max_ff(SQUARE(wpd->shading.curvature_valley_factor), 1e-4f); - - /* Will be NULL when rendering. */ - if (draw_ctx->rv3d != NULL) { - RegionView3D *rv3d = draw_ctx->rv3d; - if (rv3d->rflag & RV3D_CLIPPING) { - wpd->world_clip_planes = rv3d->clip; - DRW_state_clip_planes_set_from_rv3d(rv3d); - UI_GetThemeColor4fv(TH_V3D_CLIPPING_BORDER, wpd->world_clip_planes_color); - if (wpd->use_color_management) { - srgb_to_linearrgb_v3_v3(wpd->world_clip_planes_color, wpd->world_clip_planes_color); - } - else { - copy_v3_v3(wpd->world_clip_planes_color, wpd->world_clip_planes_color); - } - } - else { - wpd->world_clip_planes = NULL; - } - } - - wpd->world_ubo = DRW_uniformbuffer_create(sizeof(WORKBENCH_UBO_World), &wpd->world_data); - - /* Cavity settings */ - { - const int ssao_samples = scene->display.matcap_ssao_samples; - - float invproj[4][4]; - const bool is_persp = DRW_viewport_is_persp_get(); - /* view vectors for the corners of the view frustum. - * Can be used to recreate the world space position easily */ - float viewvecs[3][4] = { - {-1.0f, -1.0f, -1.0f, 1.0f}, - {1.0f, -1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f, 1.0f}, - }; - int i; - const float *size = DRW_viewport_size_get(); - - wpd->ssao_params[0] = ssao_samples; - wpd->ssao_params[1] = size[0] / 64.0; - wpd->ssao_params[2] = size[1] / 64.0; - wpd->ssao_params[3] = 0; - - /* distance, factor, factor, attenuation */ - copy_v4_fl4( - wpd->ssao_settings, - scene->display.matcap_ssao_distance, - wpd->shading.cavity_valley_factor, - wpd->shading.cavity_ridge_factor, - scene->display.matcap_ssao_attenuation); - - /* invert the view matrix */ - DRW_viewport_matrix_get(wpd->winmat, DRW_MAT_WIN); - invert_m4_m4(invproj, wpd->winmat); - - /* convert the view vectors to view space */ - for (i = 0; i < 3; i++) { - mul_m4_v4(invproj, viewvecs[i]); - /* normalized trick see: - * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ - mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][3]); - if (is_persp) { - mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][2]); - } - viewvecs[i][3] = 1.0; - - copy_v4_v4(wpd->viewvecs[i], viewvecs[i]); - } - - /* we need to store the differences */ - wpd->viewvecs[1][0] -= wpd->viewvecs[0][0]; - wpd->viewvecs[1][1] = wpd->viewvecs[2][1] - wpd->viewvecs[0][1]; - - /* calculate a depth offset as well */ - if (!is_persp) { - float vec_far[] = {-1.0f, -1.0f, 1.0f, 1.0f}; - mul_m4_v4(invproj, vec_far); - mul_v3_fl(vec_far, 1.0f / vec_far[3]); - wpd->viewvecs[1][2] = vec_far[2] - wpd->viewvecs[0][2]; - } - } - - wpd->volumes_do = false; - BLI_listbase_clear(&wpd->smoke_domains); + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene = draw_ctx->scene; + wpd->material_hash = BLI_ghash_ptr_new(__func__); + wpd->material_transp_hash = BLI_ghash_ptr_new(__func__); + wpd->preferences = &U; + + View3D *v3d = draw_ctx->v3d; + if (!v3d) { + wpd->shading = scene->display.shading; + wpd->use_color_render_settings = true; + } + else if (v3d->shading.type == OB_RENDER && BKE_scene_uses_blender_workbench(scene)) { + wpd->shading = scene->display.shading; + wpd->use_color_render_settings = true; + } + else { + wpd->shading = v3d->shading; + wpd->use_color_render_settings = false; + } + + wpd->use_color_management = BKE_scene_check_color_management_enabled(scene); + + if (wpd->shading.light == V3D_LIGHTING_MATCAP) { + wpd->studio_light = BKE_studiolight_find(wpd->shading.matcap, STUDIOLIGHT_TYPE_MATCAP); + } + else { + wpd->studio_light = BKE_studiolight_find(wpd->shading.studio_light, STUDIOLIGHT_TYPE_STUDIO); + } + + /* If matcaps are missing, use this as fallback. */ + if (UNLIKELY(wpd->studio_light == NULL)) { + wpd->studio_light = BKE_studiolight_find(wpd->shading.studio_light, STUDIOLIGHT_TYPE_STUDIO); + } + + float shadow_focus = scene->display.shadow_focus; + /* Clamp to avoid overshadowing and shading errors. */ + CLAMP(shadow_focus, 0.0001f, 0.99999f); + wpd->shadow_shift = scene->display.shadow_shift; + wpd->shadow_focus = 1.0f - shadow_focus * (1.0f - wpd->shadow_shift); + wpd->shadow_multiplier = 1.0 - wpd->shading.shadow_intensity; + + WORKBENCH_UBO_World *wd = &wpd->world_data; + wd->matcap_orientation = (wpd->shading.flag & V3D_SHADING_MATCAP_FLIP_X) != 0; + wd->background_alpha = (DRW_state_is_image_render() && scene->r.alphamode == R_ALPHAPREMUL) ? + 0.0f : + 1.0f; + + if ((scene->world != NULL) && + (!v3d || (v3d && ((v3d->shading.background_type == V3D_SHADING_BACKGROUND_WORLD) || + (v3d->shading.type == OB_RENDER))))) { + copy_v3_v3(wd->background_color_low, &scene->world->horr); + copy_v3_v3(wd->background_color_high, &scene->world->horr); + } + else if (v3d && (v3d->shading.background_type == V3D_SHADING_BACKGROUND_VIEWPORT)) { + copy_v3_v3(wd->background_color_low, v3d->shading.background_color); + copy_v3_v3(wd->background_color_high, v3d->shading.background_color); + } + else if (v3d) { + UI_GetThemeColor3fv(UI_GetThemeValue(TH_SHOW_BACK_GRAD) ? TH_BACK_GRAD : TH_BACK, + wd->background_color_low); + UI_GetThemeColor3fv(TH_BACK, wd->background_color_high); + + /* XXX: Really quick conversion to avoid washed out background. + * Needs to be addressed properly (color managed using ocio). */ + if (wpd->use_color_management) { + srgb_to_linearrgb_v3_v3(wd->background_color_high, wd->background_color_high); + srgb_to_linearrgb_v3_v3(wd->background_color_low, wd->background_color_low); + } + else { + copy_v3_v3(wd->background_color_high, wd->background_color_high); + copy_v3_v3(wd->background_color_low, wd->background_color_low); + } + } + else { + zero_v3(wd->background_color_low); + zero_v3(wd->background_color_high); + } + + studiolight_update_world(wpd, wpd->studio_light, wd); + + copy_v3_v3(wd->object_outline_color, wpd->shading.object_outline_color); + wd->object_outline_color[3] = 1.0f; + + wd->curvature_ridge = 0.5f / max_ff(SQUARE(wpd->shading.curvature_ridge_factor), 1e-4f); + wd->curvature_valley = 0.7f / max_ff(SQUARE(wpd->shading.curvature_valley_factor), 1e-4f); + + /* Will be NULL when rendering. */ + if (draw_ctx->rv3d != NULL) { + RegionView3D *rv3d = draw_ctx->rv3d; + if (rv3d->rflag & RV3D_CLIPPING) { + wpd->world_clip_planes = rv3d->clip; + DRW_state_clip_planes_set_from_rv3d(rv3d); + UI_GetThemeColor4fv(TH_V3D_CLIPPING_BORDER, wpd->world_clip_planes_color); + if (wpd->use_color_management) { + srgb_to_linearrgb_v3_v3(wpd->world_clip_planes_color, wpd->world_clip_planes_color); + } + else { + copy_v3_v3(wpd->world_clip_planes_color, wpd->world_clip_planes_color); + } + } + else { + wpd->world_clip_planes = NULL; + } + } + + wpd->world_ubo = DRW_uniformbuffer_create(sizeof(WORKBENCH_UBO_World), &wpd->world_data); + + /* Cavity settings */ + { + const int ssao_samples = scene->display.matcap_ssao_samples; + + float invproj[4][4]; + const bool is_persp = DRW_viewport_is_persp_get(); + /* view vectors for the corners of the view frustum. + * Can be used to recreate the world space position easily */ + float viewvecs[3][4] = { + {-1.0f, -1.0f, -1.0f, 1.0f}, + {1.0f, -1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f, 1.0f}, + }; + int i; + const float *size = DRW_viewport_size_get(); + + wpd->ssao_params[0] = ssao_samples; + wpd->ssao_params[1] = size[0] / 64.0; + wpd->ssao_params[2] = size[1] / 64.0; + wpd->ssao_params[3] = 0; + + /* distance, factor, factor, attenuation */ + copy_v4_fl4(wpd->ssao_settings, + scene->display.matcap_ssao_distance, + wpd->shading.cavity_valley_factor, + wpd->shading.cavity_ridge_factor, + scene->display.matcap_ssao_attenuation); + + /* invert the view matrix */ + DRW_viewport_matrix_get(wpd->winmat, DRW_MAT_WIN); + invert_m4_m4(invproj, wpd->winmat); + + /* convert the view vectors to view space */ + for (i = 0; i < 3; i++) { + mul_m4_v4(invproj, viewvecs[i]); + /* normalized trick see: + * http://www.derschmale.com/2014/01/26/reconstructing-positions-from-the-depth-buffer */ + mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][3]); + if (is_persp) { + mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][2]); + } + viewvecs[i][3] = 1.0; + + copy_v4_v4(wpd->viewvecs[i], viewvecs[i]); + } + + /* we need to store the differences */ + wpd->viewvecs[1][0] -= wpd->viewvecs[0][0]; + wpd->viewvecs[1][1] = wpd->viewvecs[2][1] - wpd->viewvecs[0][1]; + + /* calculate a depth offset as well */ + if (!is_persp) { + float vec_far[] = {-1.0f, -1.0f, 1.0f, 1.0f}; + mul_m4_v4(invproj, vec_far); + mul_v3_fl(vec_far, 1.0f / vec_far[3]); + wpd->viewvecs[1][2] = vec_far[2] - wpd->viewvecs[0][2]; + } + } + + wpd->volumes_do = false; + BLI_listbase_clear(&wpd->smoke_domains); } -void workbench_private_data_get_light_direction(WORKBENCH_PrivateData *wpd, float r_light_direction[3]) +void workbench_private_data_get_light_direction(WORKBENCH_PrivateData *wpd, + float r_light_direction[3]) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - WORKBENCH_UBO_World *wd = &wpd->world_data; - float view_matrix[4][4]; - DRW_viewport_matrix_get(view_matrix, DRW_MAT_VIEW); + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + WORKBENCH_UBO_World *wd = &wpd->world_data; + float view_matrix[4][4]; + DRW_viewport_matrix_get(view_matrix, DRW_MAT_VIEW); - copy_v3_v3(r_light_direction, scene->display.light_direction); - SWAP(float, r_light_direction[2], r_light_direction[1]); - r_light_direction[2] = -r_light_direction[2]; - r_light_direction[0] = -r_light_direction[0]; + copy_v3_v3(r_light_direction, scene->display.light_direction); + SWAP(float, r_light_direction[2], r_light_direction[1]); + r_light_direction[2] = -r_light_direction[2]; + r_light_direction[0] = -r_light_direction[0]; - /* Shadow direction. */ - mul_v3_mat3_m4v3(wd->shadow_direction_vs, view_matrix, r_light_direction); + /* Shadow direction. */ + mul_v3_mat3_m4v3(wd->shadow_direction_vs, view_matrix, r_light_direction); - DRW_uniformbuffer_update(wpd->world_ubo, wd); + DRW_uniformbuffer_update(wpd->world_ubo, wd); } void workbench_private_data_free(WORKBENCH_PrivateData *wpd) { - BLI_ghash_free(wpd->material_hash, NULL, MEM_freeN); - BLI_ghash_free(wpd->material_transp_hash, NULL, MEM_freeN); - DRW_UBO_FREE_SAFE(wpd->world_ubo); - DRW_UBO_FREE_SAFE(wpd->dof_ubo); - GPU_BATCH_DISCARD_SAFE(wpd->world_clip_planes_batch); + BLI_ghash_free(wpd->material_hash, NULL, MEM_freeN); + BLI_ghash_free(wpd->material_transp_hash, NULL, MEM_freeN); + DRW_UBO_FREE_SAFE(wpd->world_ubo); + DRW_UBO_FREE_SAFE(wpd->dof_ubo); + GPU_BATCH_DISCARD_SAFE(wpd->world_clip_planes_batch); } diff --git a/source/blender/draw/engines/workbench/workbench_deferred.c b/source/blender/draw/engines/workbench/workbench_deferred.c index 482d7178cb7..91f4f351c7b 100644 --- a/source/blender/draw/engines/workbench/workbench_deferred.c +++ b/source/blender/draw/engines/workbench/workbench_deferred.c @@ -22,7 +22,6 @@ #include "workbench_private.h" - #include "BLI_alloca.h" #include "BLI_dynstr.h" #include "BLI_utildefines.h" @@ -38,7 +37,6 @@ #include "DNA_modifier_types.h" #include "DNA_node_types.h" - #include "GPU_shader.h" #include "GPU_texture.h" #include "GPU_extensions.h" @@ -54,41 +52,41 @@ #endif typedef struct WORKBENCH_DEFERRED_Shaders { - struct GPUShader *prepass_sh_cache[MAX_PREPASS_SHADERS]; + struct GPUShader *prepass_sh_cache[MAX_PREPASS_SHADERS]; } WORKBENCH_DEFERRED_Shaders; static struct { - WORKBENCH_DEFERRED_Shaders sh_data[GPU_SHADER_CFG_LEN]; - - struct GPUShader *composite_sh_cache[MAX_COMPOSITE_SHADERS]; - struct GPUShader *cavity_sh[MAX_CAVITY_SHADERS]; - struct GPUShader *background_sh[2]; - struct GPUShader *ghost_resolve_sh; - struct GPUShader *shadow_fail_sh; - struct GPUShader *shadow_fail_manifold_sh; - struct GPUShader *shadow_pass_sh; - struct GPUShader *shadow_pass_manifold_sh; - struct GPUShader *shadow_caps_sh; - struct GPUShader *shadow_caps_manifold_sh; - struct GPUShader *oit_resolve_sh; - - /* TODO(fclem) move everything below to wpd and custom viewlayer data. */ - struct GPUTexture *oit_accum_tx; /* ref only, not alloced */ - struct GPUTexture *oit_revealage_tx; /* ref only, not alloced */ - struct GPUTexture *ghost_depth_tx; /* ref only, not alloced */ - struct GPUTexture *object_id_tx; /* ref only, not alloced */ - struct GPUTexture *color_buffer_tx; /* ref only, not alloced */ - struct GPUTexture *cavity_buffer_tx; /* ref only, not alloced */ - struct GPUTexture *metallic_buffer_tx; /* ref only, not alloced */ - struct GPUTexture *normal_buffer_tx; /* ref only, not alloced */ - struct GPUTexture *composite_buffer_tx; /* ref only, not alloced */ - - SceneDisplay display; /* world light direction for shadows */ - int next_object_id; - - struct GPUUniformBuffer *sampling_ubo; - struct GPUTexture *jitter_tx; - int cached_sample_num; + WORKBENCH_DEFERRED_Shaders sh_data[GPU_SHADER_CFG_LEN]; + + struct GPUShader *composite_sh_cache[MAX_COMPOSITE_SHADERS]; + struct GPUShader *cavity_sh[MAX_CAVITY_SHADERS]; + struct GPUShader *background_sh[2]; + struct GPUShader *ghost_resolve_sh; + struct GPUShader *shadow_fail_sh; + struct GPUShader *shadow_fail_manifold_sh; + struct GPUShader *shadow_pass_sh; + struct GPUShader *shadow_pass_manifold_sh; + struct GPUShader *shadow_caps_sh; + struct GPUShader *shadow_caps_manifold_sh; + struct GPUShader *oit_resolve_sh; + + /* TODO(fclem) move everything below to wpd and custom viewlayer data. */ + struct GPUTexture *oit_accum_tx; /* ref only, not alloced */ + struct GPUTexture *oit_revealage_tx; /* ref only, not alloced */ + struct GPUTexture *ghost_depth_tx; /* ref only, not alloced */ + struct GPUTexture *object_id_tx; /* ref only, not alloced */ + struct GPUTexture *color_buffer_tx; /* ref only, not alloced */ + struct GPUTexture *cavity_buffer_tx; /* ref only, not alloced */ + struct GPUTexture *metallic_buffer_tx; /* ref only, not alloced */ + struct GPUTexture *normal_buffer_tx; /* ref only, not alloced */ + struct GPUTexture *composite_buffer_tx; /* ref only, not alloced */ + + SceneDisplay display; /* world light direction for shadows */ + int next_object_id; + + struct GPUUniformBuffer *sampling_ubo; + struct GPUTexture *jitter_tx; + int cached_sample_num; } e_data = {{{{NULL}}}}; /* Shaders */ @@ -119,947 +117,999 @@ extern char datatoc_gpu_shader_depth_only_frag_glsl[]; static char *workbench_build_composite_frag(WORKBENCH_PrivateData *wpd) { - DynStr *ds = BLI_dynstr_new(); - - BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_background_lib_glsl); - - if (!FLAT_ENABLED(wpd)) { - BLI_dynstr_append(ds, datatoc_workbench_world_light_lib_glsl); - } - if (OBJECT_OUTLINE_ENABLED(wpd)) { - BLI_dynstr_append(ds, datatoc_workbench_object_outline_lib_glsl); - } - if (CURVATURE_ENABLED(wpd)) { - BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); - } - - BLI_dynstr_append(ds, datatoc_workbench_deferred_composite_frag_glsl); - - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + DynStr *ds = BLI_dynstr_new(); + + BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_background_lib_glsl); + + if (!FLAT_ENABLED(wpd)) { + BLI_dynstr_append(ds, datatoc_workbench_world_light_lib_glsl); + } + if (OBJECT_OUTLINE_ENABLED(wpd)) { + BLI_dynstr_append(ds, datatoc_workbench_object_outline_lib_glsl); + } + if (CURVATURE_ENABLED(wpd)) { + BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); + } + + BLI_dynstr_append(ds, datatoc_workbench_deferred_composite_frag_glsl); + + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static char *workbench_build_prepass_frag(void) { - DynStr *ds = BLI_dynstr_new(); + DynStr *ds = BLI_dynstr_new(); - BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_prepass_frag_glsl); + BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_prepass_frag_glsl); - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static char *workbench_build_prepass_vert(bool is_hair) { - DynStr *ds = BLI_dynstr_new(); - if (is_hair) { - BLI_dynstr_append(ds, datatoc_common_hair_lib_glsl); - } - BLI_dynstr_append(ds, datatoc_workbench_prepass_vert_glsl); - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + DynStr *ds = BLI_dynstr_new(); + if (is_hair) { + BLI_dynstr_append(ds, datatoc_common_hair_lib_glsl); + } + BLI_dynstr_append(ds, datatoc_workbench_prepass_vert_glsl); + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static char *workbench_build_cavity_frag(bool cavity, bool curvature, bool high_dpi) { - DynStr *ds = BLI_dynstr_new(); - - if (cavity) { - BLI_dynstr_append(ds, "#define USE_CAVITY\n"); - } - if (curvature) { - BLI_dynstr_append(ds, "#define USE_CURVATURE\n"); - } - if (high_dpi) { - BLI_dynstr_append(ds, "#define CURVATURE_OFFSET 2\n"); - } - if (NORMAL_ENCODING_ENABLED()) { - BLI_dynstr_append(ds, "#define WORKBENCH_ENCODE_NORMALS\n"); - } - BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_cavity_frag_glsl); - BLI_dynstr_append(ds, datatoc_workbench_cavity_lib_glsl); - - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + DynStr *ds = BLI_dynstr_new(); + + if (cavity) { + BLI_dynstr_append(ds, "#define USE_CAVITY\n"); + } + if (curvature) { + BLI_dynstr_append(ds, "#define USE_CURVATURE\n"); + } + if (high_dpi) { + BLI_dynstr_append(ds, "#define CURVATURE_OFFSET 2\n"); + } + if (NORMAL_ENCODING_ENABLED()) { + BLI_dynstr_append(ds, "#define WORKBENCH_ENCODE_NORMALS\n"); + } + BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_cavity_frag_glsl); + BLI_dynstr_append(ds, datatoc_workbench_cavity_lib_glsl); + + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static GPUShader *workbench_cavity_shader_get(bool cavity, bool curvature) { - const bool high_dpi = (U.pixelsize > 1.5f); - int index = 0; - SET_FLAG_FROM_TEST(index, cavity, 1 << 0); - SET_FLAG_FROM_TEST(index, curvature, 1 << 1); - SET_FLAG_FROM_TEST(index, high_dpi, 1 << 2); - - GPUShader **sh = &e_data.cavity_sh[index]; - if (*sh == NULL) { - char *cavity_frag = workbench_build_cavity_frag(cavity, curvature, high_dpi); - *sh = DRW_shader_create_fullscreen(cavity_frag, NULL); - MEM_freeN(cavity_frag); - } - return *sh; + const bool high_dpi = (U.pixelsize > 1.5f); + int index = 0; + SET_FLAG_FROM_TEST(index, cavity, 1 << 0); + SET_FLAG_FROM_TEST(index, curvature, 1 << 1); + SET_FLAG_FROM_TEST(index, high_dpi, 1 << 2); + + GPUShader **sh = &e_data.cavity_sh[index]; + if (*sh == NULL) { + char *cavity_frag = workbench_build_cavity_frag(cavity, curvature, high_dpi); + *sh = DRW_shader_create_fullscreen(cavity_frag, NULL); + MEM_freeN(cavity_frag); + } + return *sh; } -static GPUShader *ensure_deferred_prepass_shader( - WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair, eGPUShaderConfig sh_cfg) +static GPUShader *ensure_deferred_prepass_shader(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair, + eGPUShaderConfig sh_cfg) { - WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[sh_cfg]; - int index = workbench_material_get_prepass_shader_index(wpd, use_textures, is_hair); - if (sh_data->prepass_sh_cache[index] == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - char *defines = workbench_material_build_defines(wpd, use_textures, is_hair); - char *prepass_vert = workbench_build_prepass_vert(is_hair); - char *prepass_frag = workbench_build_prepass_frag(); - sh_data->prepass_sh_cache[index] = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, prepass_vert, NULL}, - .frag = (const char *[]){prepass_frag, NULL}, - .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, - }); - MEM_freeN(prepass_vert); - MEM_freeN(prepass_frag); - MEM_freeN(defines); - } - return sh_data->prepass_sh_cache[index]; + WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[sh_cfg]; + int index = workbench_material_get_prepass_shader_index(wpd, use_textures, is_hair); + if (sh_data->prepass_sh_cache[index] == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + char *defines = workbench_material_build_defines(wpd, use_textures, is_hair); + char *prepass_vert = workbench_build_prepass_vert(is_hair); + char *prepass_frag = workbench_build_prepass_frag(); + sh_data->prepass_sh_cache[index] = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, prepass_vert, NULL}, + .frag = (const char *[]){prepass_frag, NULL}, + .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, + }); + MEM_freeN(prepass_vert); + MEM_freeN(prepass_frag); + MEM_freeN(defines); + } + return sh_data->prepass_sh_cache[index]; } static GPUShader *ensure_deferred_composite_shader(WORKBENCH_PrivateData *wpd) { - int index = workbench_material_get_composite_shader_index(wpd); - if (e_data.composite_sh_cache[index] == NULL) { - char *defines = workbench_material_build_defines(wpd, false, false); - char *composite_frag = workbench_build_composite_frag(wpd); - e_data.composite_sh_cache[index] = DRW_shader_create_fullscreen(composite_frag, defines); - MEM_freeN(composite_frag); - MEM_freeN(defines); - } - return e_data.composite_sh_cache[index]; + int index = workbench_material_get_composite_shader_index(wpd); + if (e_data.composite_sh_cache[index] == NULL) { + char *defines = workbench_material_build_defines(wpd, false, false); + char *composite_frag = workbench_build_composite_frag(wpd); + e_data.composite_sh_cache[index] = DRW_shader_create_fullscreen(composite_frag, defines); + MEM_freeN(composite_frag); + MEM_freeN(defines); + } + return e_data.composite_sh_cache[index]; } static GPUShader *ensure_background_shader(WORKBENCH_PrivateData *wpd) { - const int index = OBJECT_OUTLINE_ENABLED(wpd) ? 1 : 0; - if (e_data.background_sh[index] == NULL) { - const char *defines = (index) ? "#define V3D_SHADING_OBJECT_OUTLINE\n" : NULL; - char *frag = BLI_string_joinN( - datatoc_workbench_data_lib_glsl, - datatoc_workbench_common_lib_glsl, - datatoc_workbench_background_lib_glsl, - datatoc_workbench_object_outline_lib_glsl, - datatoc_workbench_deferred_background_frag_glsl); - e_data.background_sh[index] = DRW_shader_create_fullscreen(frag, defines); - MEM_freeN(frag); - } - return e_data.background_sh[index]; + const int index = OBJECT_OUTLINE_ENABLED(wpd) ? 1 : 0; + if (e_data.background_sh[index] == NULL) { + const char *defines = (index) ? "#define V3D_SHADING_OBJECT_OUTLINE\n" : NULL; + char *frag = BLI_string_joinN(datatoc_workbench_data_lib_glsl, + datatoc_workbench_common_lib_glsl, + datatoc_workbench_background_lib_glsl, + datatoc_workbench_object_outline_lib_glsl, + datatoc_workbench_deferred_background_frag_glsl); + e_data.background_sh[index] = DRW_shader_create_fullscreen(frag, defines); + MEM_freeN(frag); + } + return e_data.background_sh[index]; } static void select_deferred_shaders(WORKBENCH_PrivateData *wpd, eGPUShaderConfig sh_cfg) { - wpd->prepass_solid_sh = ensure_deferred_prepass_shader(wpd, false, false, sh_cfg); - wpd->prepass_solid_hair_sh = ensure_deferred_prepass_shader(wpd, false, true, sh_cfg); - wpd->prepass_texture_sh = ensure_deferred_prepass_shader(wpd, true, false, sh_cfg); - wpd->prepass_texture_hair_sh = ensure_deferred_prepass_shader(wpd, true, true, sh_cfg); - wpd->composite_sh = ensure_deferred_composite_shader(wpd); - wpd->background_sh = ensure_background_shader(wpd); + wpd->prepass_solid_sh = ensure_deferred_prepass_shader(wpd, false, false, sh_cfg); + wpd->prepass_solid_hair_sh = ensure_deferred_prepass_shader(wpd, false, true, sh_cfg); + wpd->prepass_texture_sh = ensure_deferred_prepass_shader(wpd, true, false, sh_cfg); + wpd->prepass_texture_hair_sh = ensure_deferred_prepass_shader(wpd, true, true, sh_cfg); + wpd->composite_sh = ensure_deferred_composite_shader(wpd); + wpd->background_sh = ensure_background_shader(wpd); } /* Using Hammersley distribution */ static float *create_disk_samples(int num_samples, int num_iterations) { - /* vec4 to ensure memory alignment. */ - const int total_samples = num_samples * num_iterations; - float(*texels)[4] = MEM_mallocN(sizeof(float[4]) * total_samples, __func__); - const float num_samples_inv = 1.0f / num_samples; - - for (int i = 0; i < total_samples; i++) { - float it_add = (i / num_samples) * 0.499f; - float r = fmodf((i + 0.5f + it_add) * num_samples_inv, 1.0f); - double dphi; - BLI_hammersley_1d(i, &dphi); - - float phi = (float)dphi * 2.0f * M_PI + it_add; - texels[i][0] = cosf(phi); - texels[i][1] = sinf(phi); - /* This deliberately distribute more samples - * at the center of the disk (and thus the shadow). */ - texels[i][2] = r; - } - - return (float *)texels; + /* vec4 to ensure memory alignment. */ + const int total_samples = num_samples * num_iterations; + float(*texels)[4] = MEM_mallocN(sizeof(float[4]) * total_samples, __func__); + const float num_samples_inv = 1.0f / num_samples; + + for (int i = 0; i < total_samples; i++) { + float it_add = (i / num_samples) * 0.499f; + float r = fmodf((i + 0.5f + it_add) * num_samples_inv, 1.0f); + double dphi; + BLI_hammersley_1d(i, &dphi); + + float phi = (float)dphi * 2.0f * M_PI + it_add; + texels[i][0] = cosf(phi); + texels[i][1] = sinf(phi); + /* This deliberately distribute more samples + * at the center of the disk (and thus the shadow). */ + texels[i][2] = r; + } + + return (float *)texels; } static struct GPUTexture *create_jitter_texture(int num_samples) { - float jitter[64 * 64][4]; - const float num_samples_inv = 1.0f / num_samples; - - for (int i = 0; i < 64 * 64; i++) { - float phi = blue_noise[i][0] * 2.0f * M_PI; - /* This rotate the sample per pixels */ - jitter[i][0] = cosf(phi); - jitter[i][1] = sinf(phi); - /* This offset the sample along it's direction axis (reduce banding) */ - float bn = blue_noise[i][1] - 0.5f; - CLAMP(bn, -0.499f, 0.499f); /* fix fireflies */ - jitter[i][2] = bn * num_samples_inv; - jitter[i][3] = blue_noise[i][1]; - } - - UNUSED_VARS(bsdf_split_sum_ggx, btdf_split_sum_ggx, ltc_mag_ggx, ltc_mat_ggx, ltc_disk_integral); - - return DRW_texture_create_2d(64, 64, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_WRAP, &jitter[0][0]); + float jitter[64 * 64][4]; + const float num_samples_inv = 1.0f / num_samples; + + for (int i = 0; i < 64 * 64; i++) { + float phi = blue_noise[i][0] * 2.0f * M_PI; + /* This rotate the sample per pixels */ + jitter[i][0] = cosf(phi); + jitter[i][1] = sinf(phi); + /* This offset the sample along it's direction axis (reduce banding) */ + float bn = blue_noise[i][1] - 0.5f; + CLAMP(bn, -0.499f, 0.499f); /* fix fireflies */ + jitter[i][2] = bn * num_samples_inv; + jitter[i][3] = blue_noise[i][1]; + } + + UNUSED_VARS(bsdf_split_sum_ggx, btdf_split_sum_ggx, ltc_mag_ggx, ltc_mat_ggx, ltc_disk_integral); + + return DRW_texture_create_2d(64, 64, GPU_RGBA16F, DRW_TEX_FILTER | DRW_TEX_WRAP, &jitter[0][0]); } /* Functions */ - static void workbench_init_object_data(DrawData *dd) { - WORKBENCH_ObjectData *data = (WORKBENCH_ObjectData *)dd; - data->object_id = ((e_data.next_object_id++) & 0xff) + 1; - data->shadow_bbox_dirty = true; + WORKBENCH_ObjectData *data = (WORKBENCH_ObjectData *)dd; + data->object_id = ((e_data.next_object_id++) & 0xff) + 1; + data->shadow_bbox_dirty = true; } -static void workbench_init_oit_framebuffer(WORKBENCH_FramebufferList *fbl, DefaultTextureList *dtxl) +static void workbench_init_oit_framebuffer(WORKBENCH_FramebufferList *fbl, + DefaultTextureList *dtxl) { - const float *size = DRW_viewport_size_get(); - e_data.oit_accum_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_RGBA16F, &draw_engine_workbench_solid); - e_data.oit_revealage_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_R16F, &draw_engine_workbench_solid); - - GPU_framebuffer_ensure_config(&fbl->transparent_accum_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(e_data.oit_accum_tx), - GPU_ATTACHMENT_TEXTURE(e_data.oit_revealage_tx), - }); + const float *size = DRW_viewport_size_get(); + e_data.oit_accum_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA16F, &draw_engine_workbench_solid); + e_data.oit_revealage_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R16F, &draw_engine_workbench_solid); + + GPU_framebuffer_ensure_config(&fbl->transparent_accum_fb, + { + GPU_ATTACHMENT_TEXTURE(dtxl->depth), + GPU_ATTACHMENT_TEXTURE(e_data.oit_accum_tx), + GPU_ATTACHMENT_TEXTURE(e_data.oit_revealage_tx), + }); } void workbench_deferred_engine_init(WORKBENCH_Data *vedata) { - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - RegionView3D *rv3d = draw_ctx->rv3d; - View3D *v3d = draw_ctx->v3d; - Scene *scene = draw_ctx->scene; - Object *camera; - - if (v3d && rv3d) { - camera = (rv3d->persp == RV3D_CAMOB) ? v3d->camera : NULL; - } - else { - camera = scene->camera; - } - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - if (!stl->effects) { - stl->effects = MEM_callocN(sizeof(*stl->effects), __func__); - workbench_effect_info_init(stl->effects); - } - - if (!e_data.next_object_id) { - WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - memset(sh_data->prepass_sh_cache, 0, sizeof(sh_data->prepass_sh_cache)); - memset(e_data.composite_sh_cache, 0, sizeof(e_data.composite_sh_cache)); - e_data.next_object_id = 1; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + RegionView3D *rv3d = draw_ctx->rv3d; + View3D *v3d = draw_ctx->v3d; + Scene *scene = draw_ctx->scene; + Object *camera; + + if (v3d && rv3d) { + camera = (rv3d->persp == RV3D_CAMOB) ? v3d->camera : NULL; + } + else { + camera = scene->camera; + } + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + if (!stl->effects) { + stl->effects = MEM_callocN(sizeof(*stl->effects), __func__); + workbench_effect_info_init(stl->effects); + } + + if (!e_data.next_object_id) { + WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + memset(sh_data->prepass_sh_cache, 0, sizeof(sh_data->prepass_sh_cache)); + memset(e_data.composite_sh_cache, 0, sizeof(e_data.composite_sh_cache)); + e_data.next_object_id = 1; #ifdef DEBUG_SHADOW_VOLUME - const char *shadow_frag = datatoc_workbench_shadow_debug_frag_glsl; + const char *shadow_frag = datatoc_workbench_shadow_debug_frag_glsl; #else - const char *shadow_frag = datatoc_gpu_shader_depth_only_frag_glsl; + const char *shadow_frag = datatoc_gpu_shader_depth_only_frag_glsl; #endif - /* TODO only compile on demand */ - e_data.shadow_pass_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_geom_glsl, - shadow_frag, - "#define SHADOW_PASS\n" - "#define DOUBLE_MANIFOLD\n"); - e_data.shadow_pass_manifold_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_geom_glsl, - shadow_frag, - "#define SHADOW_PASS\n"); - e_data.shadow_fail_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_geom_glsl, - shadow_frag, - "#define SHADOW_FAIL\n" - "#define DOUBLE_MANIFOLD\n"); - e_data.shadow_fail_manifold_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_geom_glsl, - shadow_frag, - "#define SHADOW_FAIL\n"); - e_data.shadow_caps_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_caps_geom_glsl, - shadow_frag, - "#define SHADOW_FAIL\n" - "#define DOUBLE_MANIFOLD\n"); - e_data.shadow_caps_manifold_sh = DRW_shader_create( - datatoc_workbench_shadow_vert_glsl, - datatoc_workbench_shadow_caps_geom_glsl, - shadow_frag, - "#define SHADOW_FAIL\n"); - - e_data.ghost_resolve_sh = DRW_shader_create_fullscreen(datatoc_workbench_ghost_resolve_frag_glsl, NULL); - } - workbench_volume_engine_init(); - workbench_fxaa_engine_init(); - workbench_taa_engine_init(vedata); - - WORKBENCH_PrivateData *wpd = stl->g_data; - workbench_private_data_init(wpd); - - workbench_dof_engine_init(vedata, camera); - - if (OIT_ENABLED(wpd)) { - if (e_data.oit_resolve_sh == NULL) { - e_data.oit_resolve_sh = DRW_shader_create_fullscreen( - datatoc_workbench_forward_composite_frag_glsl, - "#define ALPHA_COMPOSITE\n"); - } - - workbench_forward_choose_shaders(wpd, draw_ctx->sh_cfg); - workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); - } - - { - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - const eGPUTextureFormat nor_tex_format = NORMAL_ENCODING_ENABLED() ? GPU_RG16 : GPU_RGBA32F; - const eGPUTextureFormat comp_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : GPU_R11F_G11F_B10F; - const eGPUTextureFormat col_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : GPU_RGBA8; - const eGPUTextureFormat id_tex_format = OBJECT_ID_PASS_ENABLED(wpd) ? GPU_R32UI : GPU_R8; - - e_data.object_id_tx = NULL; - e_data.color_buffer_tx = NULL; - e_data.composite_buffer_tx = NULL; - e_data.normal_buffer_tx = NULL; - e_data.cavity_buffer_tx = NULL; - - e_data.composite_buffer_tx = DRW_texture_pool_query_2d(size[0], size[1], comp_tex_format, &draw_engine_workbench_solid); - - if (MATDATA_PASS_ENABLED(wpd) || GPU_unused_fb_slot_workaround()) { - e_data.color_buffer_tx = DRW_texture_pool_query_2d(size[0], size[1], col_tex_format, &draw_engine_workbench_solid); - } - if (OBJECT_ID_PASS_ENABLED(wpd) || GPU_unused_fb_slot_workaround()) { - e_data.object_id_tx = DRW_texture_pool_query_2d(size[0], size[1], id_tex_format, &draw_engine_workbench_solid); - } - if (NORMAL_VIEWPORT_PASS_ENABLED(wpd)) { - e_data.normal_buffer_tx = DRW_texture_pool_query_2d(size[0], size[1], nor_tex_format, &draw_engine_workbench_solid); - } - if (CAVITY_ENABLED(wpd)) { - e_data.cavity_buffer_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_R16, &draw_engine_workbench_solid); - } - - GPU_framebuffer_ensure_config(&fbl->prepass_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), - GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), - GPU_ATTACHMENT_TEXTURE(e_data.normal_buffer_tx), - }); - GPU_framebuffer_ensure_config(&fbl->cavity_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.cavity_buffer_tx), - }); - GPU_framebuffer_ensure_config(&fbl->composite_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), - }); - GPU_framebuffer_ensure_config(&fbl->color_only_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), - }); - - if (!MATDATA_PASS_ENABLED(wpd) && !GPU_unused_fb_slot_workaround()) { - e_data.color_buffer_tx = DRW_texture_pool_query_2d(size[0], size[1], col_tex_format, &draw_engine_workbench_solid); - } - - GPU_framebuffer_ensure_config(&fbl->effect_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), - }); - - if (OBJECT_ID_PASS_ENABLED(wpd)) { - GPU_framebuffer_ensure_config(&fbl->id_clear_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), - }); - } - } - - { - /* AO Samples Tex */ - int num_iterations = workbench_taa_calculate_num_iterations(vedata); - - const int ssao_samples_single_iteration = scene->display.matcap_ssao_samples; - const int ssao_samples = MIN2(num_iterations * ssao_samples_single_iteration, 500); - - if (e_data.sampling_ubo && (e_data.cached_sample_num != ssao_samples)) { - DRW_UBO_FREE_SAFE(e_data.sampling_ubo); - DRW_TEXTURE_FREE_SAFE(e_data.jitter_tx); - } - - if (e_data.sampling_ubo == NULL) { - float *samples = create_disk_samples(ssao_samples_single_iteration, num_iterations); - e_data.jitter_tx = create_jitter_texture(ssao_samples); - e_data.sampling_ubo = DRW_uniformbuffer_create(sizeof(float[4]) * ssao_samples, samples); - e_data.cached_sample_num = ssao_samples; - MEM_freeN(samples); - } - } - - /* Prepass */ - { - DRWShadingGroup *grp; - const bool do_cull = CULL_BACKFACE_ENABLED(wpd); - - int state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - psl->prepass_pass = DRW_pass_create("Prepass", (do_cull) ? state | DRW_STATE_CULL_BACK : state); - psl->prepass_hair_pass = DRW_pass_create("Prepass", state); - - psl->ghost_prepass_pass = DRW_pass_create("Prepass Ghost", (do_cull) ? state | DRW_STATE_CULL_BACK : state); - psl->ghost_prepass_hair_pass = DRW_pass_create("Prepass Ghost", state); - - psl->ghost_resolve_pass = DRW_pass_create("Resolve Ghost Depth", DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); - grp = DRW_shgroup_create(e_data.ghost_resolve_sh, psl->ghost_resolve_pass); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.ghost_depth_tx); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - - { - workbench_aa_create_pass(vedata, &e_data.color_buffer_tx); - } - - { - workbench_dof_create_pass(vedata, &e_data.composite_buffer_tx, e_data.jitter_tx); - } - - if (CAVITY_ENABLED(wpd)) { - int state = DRW_STATE_WRITE_COLOR; - GPUShader *shader = workbench_cavity_shader_get(SSAO_ENABLED(wpd), CURVATURE_ENABLED(wpd)); - psl->cavity_pass = DRW_pass_create("Cavity", state); - DRWShadingGroup *grp = DRW_shgroup_create(shader, psl->cavity_pass); - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &e_data.normal_buffer_tx); - DRW_shgroup_uniform_block(grp, "samples_block", e_data.sampling_ubo); - - if (SSAO_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); - DRW_shgroup_uniform_vec4(grp, "ssao_params", wpd->ssao_params, 1); - DRW_shgroup_uniform_vec4(grp, "ssao_settings", wpd->ssao_settings, 1); - DRW_shgroup_uniform_mat4(grp, "WinMatrix", wpd->winmat); - DRW_shgroup_uniform_texture(grp, "ssao_jitter", e_data.jitter_tx); - } - - if (CURVATURE_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); - DRW_shgroup_uniform_vec2(grp, "curvature_settings", &wpd->world_data.curvature_ridge, 1); - } - - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } + /* TODO only compile on demand */ + e_data.shadow_pass_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_geom_glsl, + shadow_frag, + "#define SHADOW_PASS\n" + "#define DOUBLE_MANIFOLD\n"); + e_data.shadow_pass_manifold_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_geom_glsl, + shadow_frag, + "#define SHADOW_PASS\n"); + e_data.shadow_fail_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_geom_glsl, + shadow_frag, + "#define SHADOW_FAIL\n" + "#define DOUBLE_MANIFOLD\n"); + e_data.shadow_fail_manifold_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_geom_glsl, + shadow_frag, + "#define SHADOW_FAIL\n"); + e_data.shadow_caps_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_caps_geom_glsl, + shadow_frag, + "#define SHADOW_FAIL\n" + "#define DOUBLE_MANIFOLD\n"); + e_data.shadow_caps_manifold_sh = DRW_shader_create(datatoc_workbench_shadow_vert_glsl, + datatoc_workbench_shadow_caps_geom_glsl, + shadow_frag, + "#define SHADOW_FAIL\n"); + + e_data.ghost_resolve_sh = DRW_shader_create_fullscreen( + datatoc_workbench_ghost_resolve_frag_glsl, NULL); + } + workbench_volume_engine_init(); + workbench_fxaa_engine_init(); + workbench_taa_engine_init(vedata); + + WORKBENCH_PrivateData *wpd = stl->g_data; + workbench_private_data_init(wpd); + + workbench_dof_engine_init(vedata, camera); + + if (OIT_ENABLED(wpd)) { + if (e_data.oit_resolve_sh == NULL) { + e_data.oit_resolve_sh = DRW_shader_create_fullscreen( + datatoc_workbench_forward_composite_frag_glsl, "#define ALPHA_COMPOSITE\n"); + } + + workbench_forward_choose_shaders(wpd, draw_ctx->sh_cfg); + workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); + } + + { + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + const eGPUTextureFormat nor_tex_format = NORMAL_ENCODING_ENABLED() ? GPU_RG16 : GPU_RGBA32F; + const eGPUTextureFormat comp_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : + GPU_R11F_G11F_B10F; + const eGPUTextureFormat col_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : GPU_RGBA8; + const eGPUTextureFormat id_tex_format = OBJECT_ID_PASS_ENABLED(wpd) ? GPU_R32UI : GPU_R8; + + e_data.object_id_tx = NULL; + e_data.color_buffer_tx = NULL; + e_data.composite_buffer_tx = NULL; + e_data.normal_buffer_tx = NULL; + e_data.cavity_buffer_tx = NULL; + + e_data.composite_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], comp_tex_format, &draw_engine_workbench_solid); + + if (MATDATA_PASS_ENABLED(wpd) || GPU_unused_fb_slot_workaround()) { + e_data.color_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], col_tex_format, &draw_engine_workbench_solid); + } + if (OBJECT_ID_PASS_ENABLED(wpd) || GPU_unused_fb_slot_workaround()) { + e_data.object_id_tx = DRW_texture_pool_query_2d( + size[0], size[1], id_tex_format, &draw_engine_workbench_solid); + } + if (NORMAL_VIEWPORT_PASS_ENABLED(wpd)) { + e_data.normal_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], nor_tex_format, &draw_engine_workbench_solid); + } + if (CAVITY_ENABLED(wpd)) { + e_data.cavity_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R16, &draw_engine_workbench_solid); + } + + GPU_framebuffer_ensure_config(&fbl->prepass_fb, + { + GPU_ATTACHMENT_TEXTURE(dtxl->depth), + GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), + GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), + GPU_ATTACHMENT_TEXTURE(e_data.normal_buffer_tx), + }); + GPU_framebuffer_ensure_config(&fbl->cavity_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.cavity_buffer_tx), + }); + GPU_framebuffer_ensure_config(&fbl->composite_fb, + { + GPU_ATTACHMENT_TEXTURE(dtxl->depth), + GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), + }); + GPU_framebuffer_ensure_config(&fbl->color_only_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), + }); + + if (!MATDATA_PASS_ENABLED(wpd) && !GPU_unused_fb_slot_workaround()) { + e_data.color_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], col_tex_format, &draw_engine_workbench_solid); + } + + GPU_framebuffer_ensure_config(&fbl->effect_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), + }); + + if (OBJECT_ID_PASS_ENABLED(wpd)) { + GPU_framebuffer_ensure_config(&fbl->id_clear_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), + }); + } + } + + { + /* AO Samples Tex */ + int num_iterations = workbench_taa_calculate_num_iterations(vedata); + + const int ssao_samples_single_iteration = scene->display.matcap_ssao_samples; + const int ssao_samples = MIN2(num_iterations * ssao_samples_single_iteration, 500); + + if (e_data.sampling_ubo && (e_data.cached_sample_num != ssao_samples)) { + DRW_UBO_FREE_SAFE(e_data.sampling_ubo); + DRW_TEXTURE_FREE_SAFE(e_data.jitter_tx); + } + + if (e_data.sampling_ubo == NULL) { + float *samples = create_disk_samples(ssao_samples_single_iteration, num_iterations); + e_data.jitter_tx = create_jitter_texture(ssao_samples); + e_data.sampling_ubo = DRW_uniformbuffer_create(sizeof(float[4]) * ssao_samples, samples); + e_data.cached_sample_num = ssao_samples; + MEM_freeN(samples); + } + } + + /* Prepass */ + { + DRWShadingGroup *grp; + const bool do_cull = CULL_BACKFACE_ENABLED(wpd); + + int state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + psl->prepass_pass = DRW_pass_create("Prepass", + (do_cull) ? state | DRW_STATE_CULL_BACK : state); + psl->prepass_hair_pass = DRW_pass_create("Prepass", state); + + psl->ghost_prepass_pass = DRW_pass_create("Prepass Ghost", + (do_cull) ? state | DRW_STATE_CULL_BACK : state); + psl->ghost_prepass_hair_pass = DRW_pass_create("Prepass Ghost", state); + + psl->ghost_resolve_pass = DRW_pass_create("Resolve Ghost Depth", + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS); + grp = DRW_shgroup_create(e_data.ghost_resolve_sh, psl->ghost_resolve_pass); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &e_data.ghost_depth_tx); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + + { + workbench_aa_create_pass(vedata, &e_data.color_buffer_tx); + } + + { + workbench_dof_create_pass(vedata, &e_data.composite_buffer_tx, e_data.jitter_tx); + } + + if (CAVITY_ENABLED(wpd)) { + int state = DRW_STATE_WRITE_COLOR; + GPUShader *shader = workbench_cavity_shader_get(SSAO_ENABLED(wpd), CURVATURE_ENABLED(wpd)); + psl->cavity_pass = DRW_pass_create("Cavity", state); + DRWShadingGroup *grp = DRW_shgroup_create(shader, psl->cavity_pass); + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &e_data.normal_buffer_tx); + DRW_shgroup_uniform_block(grp, "samples_block", e_data.sampling_ubo); + + if (SSAO_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); + DRW_shgroup_uniform_vec4(grp, "ssao_params", wpd->ssao_params, 1); + DRW_shgroup_uniform_vec4(grp, "ssao_settings", wpd->ssao_settings, 1); + DRW_shgroup_uniform_mat4(grp, "WinMatrix", wpd->winmat); + DRW_shgroup_uniform_texture(grp, "ssao_jitter", e_data.jitter_tx); + } + + if (CURVATURE_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); + DRW_shgroup_uniform_vec2(grp, "curvature_settings", &wpd->world_data.curvature_ridge, 1); + } + + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } } static void workbench_setup_ghost_framebuffer(WORKBENCH_FramebufferList *fbl) { - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - e_data.ghost_depth_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_workbench_solid); - - GPU_framebuffer_ensure_config(&fbl->ghost_prepass_fb, { - GPU_ATTACHMENT_TEXTURE(e_data.ghost_depth_tx), - GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), - GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), - GPU_ATTACHMENT_TEXTURE(e_data.normal_buffer_tx), - }); + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + e_data.ghost_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_workbench_solid); + + GPU_framebuffer_ensure_config(&fbl->ghost_prepass_fb, + { + GPU_ATTACHMENT_TEXTURE(e_data.ghost_depth_tx), + GPU_ATTACHMENT_TEXTURE(e_data.color_buffer_tx), + GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), + GPU_ATTACHMENT_TEXTURE(e_data.normal_buffer_tx), + }); } void workbench_deferred_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - for (int index = 0; index < MAX_PREPASS_SHADERS; index++) { - DRW_SHADER_FREE_SAFE(sh_data->prepass_sh_cache[index]); - } - } - for (int index = 0; index < MAX_COMPOSITE_SHADERS; index++) { - DRW_SHADER_FREE_SAFE(e_data.composite_sh_cache[index]); - } - for (int index = 0; index < MAX_CAVITY_SHADERS; ++index) { - DRW_SHADER_FREE_SAFE(e_data.cavity_sh[index]); - } - DRW_SHADER_FREE_SAFE(e_data.ghost_resolve_sh); - DRW_UBO_FREE_SAFE(e_data.sampling_ubo); - DRW_TEXTURE_FREE_SAFE(e_data.jitter_tx); - DRW_SHADER_FREE_SAFE(e_data.background_sh[0]); - DRW_SHADER_FREE_SAFE(e_data.background_sh[1]); - - DRW_SHADER_FREE_SAFE(e_data.oit_resolve_sh); - - DRW_SHADER_FREE_SAFE(e_data.shadow_pass_sh); - DRW_SHADER_FREE_SAFE(e_data.shadow_pass_manifold_sh); - DRW_SHADER_FREE_SAFE(e_data.shadow_fail_sh); - DRW_SHADER_FREE_SAFE(e_data.shadow_fail_manifold_sh); - DRW_SHADER_FREE_SAFE(e_data.shadow_caps_sh); - DRW_SHADER_FREE_SAFE(e_data.shadow_caps_manifold_sh); - - workbench_volume_engine_free(); - workbench_fxaa_engine_free(); - workbench_taa_engine_free(); - workbench_dof_engine_free(); + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + WORKBENCH_DEFERRED_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + for (int index = 0; index < MAX_PREPASS_SHADERS; index++) { + DRW_SHADER_FREE_SAFE(sh_data->prepass_sh_cache[index]); + } + } + for (int index = 0; index < MAX_COMPOSITE_SHADERS; index++) { + DRW_SHADER_FREE_SAFE(e_data.composite_sh_cache[index]); + } + for (int index = 0; index < MAX_CAVITY_SHADERS; ++index) { + DRW_SHADER_FREE_SAFE(e_data.cavity_sh[index]); + } + DRW_SHADER_FREE_SAFE(e_data.ghost_resolve_sh); + DRW_UBO_FREE_SAFE(e_data.sampling_ubo); + DRW_TEXTURE_FREE_SAFE(e_data.jitter_tx); + DRW_SHADER_FREE_SAFE(e_data.background_sh[0]); + DRW_SHADER_FREE_SAFE(e_data.background_sh[1]); + + DRW_SHADER_FREE_SAFE(e_data.oit_resolve_sh); + + DRW_SHADER_FREE_SAFE(e_data.shadow_pass_sh); + DRW_SHADER_FREE_SAFE(e_data.shadow_pass_manifold_sh); + DRW_SHADER_FREE_SAFE(e_data.shadow_fail_sh); + DRW_SHADER_FREE_SAFE(e_data.shadow_fail_manifold_sh); + DRW_SHADER_FREE_SAFE(e_data.shadow_caps_sh); + DRW_SHADER_FREE_SAFE(e_data.shadow_caps_manifold_sh); + + workbench_volume_engine_free(); + workbench_fxaa_engine_free(); + workbench_taa_engine_free(); + workbench_dof_engine_free(); } static void workbench_composite_uniforms(WORKBENCH_PrivateData *wpd, DRWShadingGroup *grp) { - DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); - if (MATDATA_PASS_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "materialBuffer", &e_data.color_buffer_tx); - } - else { - DRW_shgroup_uniform_vec3(grp, "materialSingleColor", wpd->shading.single_color, 1); - } - if (OBJECT_OUTLINE_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); - } - if (NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &e_data.normal_buffer_tx); - } - if (CAVITY_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "cavityBuffer", &e_data.cavity_buffer_tx); - } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { - DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); - } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - } - if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { - BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); - DRW_shgroup_uniform_texture(grp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture); - } + DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); + if (MATDATA_PASS_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "materialBuffer", &e_data.color_buffer_tx); + } + else { + DRW_shgroup_uniform_vec3(grp, "materialSingleColor", wpd->shading.single_color, 1); + } + if (OBJECT_OUTLINE_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); + } + if (NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "normalBuffer", &e_data.normal_buffer_tx); + } + if (CAVITY_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "cavityBuffer", &e_data.cavity_buffer_tx); + } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { + DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); + } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + } + if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { + BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); + DRW_shgroup_uniform_texture( + grp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture); + } } void workbench_deferred_cache_init(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - DRWShadingGroup *grp; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - Scene *scene = draw_ctx->scene; - - workbench_volume_cache_init(vedata); - - select_deferred_shaders(wpd, draw_ctx->sh_cfg); - - /* Background Pass */ - { - psl->background_pass = DRW_pass_create( - "Background", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); - grp = DRW_shgroup_create(wpd->background_sh, psl->background_pass); - DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - if (OBJECT_OUTLINE_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); - } - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - - if (draw_ctx->rv3d && (draw_ctx->rv3d->rflag & RV3D_CLIPPING) && draw_ctx->rv3d->clipbb) { - GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR_BACKGROUND); - grp = DRW_shgroup_create(shader, psl->background_pass); - wpd->world_clip_planes_batch = DRW_draw_background_clipping_batch_from_rv3d(draw_ctx->rv3d); - DRW_shgroup_call_add(grp, wpd->world_clip_planes_batch, NULL); - DRW_shgroup_uniform_vec4(grp, "color", &wpd->world_clip_planes_color[0], 1); - } - } - - /* Deferred Mix Pass */ - { - workbench_private_data_get_light_direction(wpd, e_data.display.light_direction); - studiolight_update_light(wpd, e_data.display.light_direction); - - if (SHADOW_ENABLED(wpd)) { - psl->composite_pass = DRW_pass_create( - "Composite", DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_EQUAL | DRW_STATE_DEPTH_GREATER); - grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); - workbench_composite_uniforms(wpd, grp); - DRW_shgroup_stencil_mask(grp, 0x00); - DRW_shgroup_uniform_float_copy(grp, "lightMultiplier", 1.0f); - DRW_shgroup_uniform_float(grp, "shadowMultiplier", &wpd->shadow_multiplier, 1); - DRW_shgroup_uniform_float_copy(grp, "shadowShift", scene->display.shadow_shift); - DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - - /* Stencil Shadow passes. */ + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + DRWShadingGroup *grp; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + Scene *scene = draw_ctx->scene; + + workbench_volume_cache_init(vedata); + + select_deferred_shaders(wpd, draw_ctx->sh_cfg); + + /* Background Pass */ + { + psl->background_pass = DRW_pass_create("Background", + DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); + grp = DRW_shgroup_create(wpd->background_sh, psl->background_pass); + DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + if (OBJECT_OUTLINE_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); + } + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + + if (draw_ctx->rv3d && (draw_ctx->rv3d->rflag & RV3D_CLIPPING) && draw_ctx->rv3d->clipbb) { + GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR_BACKGROUND); + grp = DRW_shgroup_create(shader, psl->background_pass); + wpd->world_clip_planes_batch = DRW_draw_background_clipping_batch_from_rv3d(draw_ctx->rv3d); + DRW_shgroup_call_add(grp, wpd->world_clip_planes_batch, NULL); + DRW_shgroup_uniform_vec4(grp, "color", &wpd->world_clip_planes_color[0], 1); + } + } + + /* Deferred Mix Pass */ + { + workbench_private_data_get_light_direction(wpd, e_data.display.light_direction); + studiolight_update_light(wpd, e_data.display.light_direction); + + if (SHADOW_ENABLED(wpd)) { + psl->composite_pass = DRW_pass_create( + "Composite", DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_EQUAL | DRW_STATE_DEPTH_GREATER); + grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); + workbench_composite_uniforms(wpd, grp); + DRW_shgroup_stencil_mask(grp, 0x00); + DRW_shgroup_uniform_float_copy(grp, "lightMultiplier", 1.0f); + DRW_shgroup_uniform_float(grp, "shadowMultiplier", &wpd->shadow_multiplier, 1); + DRW_shgroup_uniform_float_copy(grp, "shadowShift", scene->display.shadow_shift); + DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + + /* Stencil Shadow passes. */ #ifdef DEBUG_SHADOW_VOLUME - DRWState depth_pass_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE; - DRWState depth_fail_state = DRW_STATE_DEPTH_GREATER_EQUAL | DRW_STATE_WRITE_COLOR | DRW_STATE_ADDITIVE; + DRWState depth_pass_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_COLOR | + DRW_STATE_ADDITIVE; + DRWState depth_fail_state = DRW_STATE_DEPTH_GREATER_EQUAL | DRW_STATE_WRITE_COLOR | + DRW_STATE_ADDITIVE; #else - DRWState depth_pass_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_STENCIL_SHADOW_PASS; - DRWState depth_fail_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_STENCIL_SHADOW_FAIL; + DRWState depth_pass_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_STENCIL_SHADOW_PASS; + DRWState depth_fail_state = DRW_STATE_DEPTH_LESS | DRW_STATE_WRITE_STENCIL_SHADOW_FAIL; #endif - psl->shadow_depth_pass_pass = DRW_pass_create("Shadow Pass", depth_pass_state); - psl->shadow_depth_pass_mani_pass = DRW_pass_create("Shadow Pass Mani", depth_pass_state); - psl->shadow_depth_fail_pass = DRW_pass_create("Shadow Fail", depth_fail_state); - psl->shadow_depth_fail_mani_pass = DRW_pass_create("Shadow Fail Mani", depth_fail_state); - psl->shadow_depth_fail_caps_pass = DRW_pass_create("Shadow Fail Caps", depth_fail_state); - psl->shadow_depth_fail_caps_mani_pass = DRW_pass_create("Shadow Fail Caps Mani", depth_fail_state); + psl->shadow_depth_pass_pass = DRW_pass_create("Shadow Pass", depth_pass_state); + psl->shadow_depth_pass_mani_pass = DRW_pass_create("Shadow Pass Mani", depth_pass_state); + psl->shadow_depth_fail_pass = DRW_pass_create("Shadow Fail", depth_fail_state); + psl->shadow_depth_fail_mani_pass = DRW_pass_create("Shadow Fail Mani", depth_fail_state); + psl->shadow_depth_fail_caps_pass = DRW_pass_create("Shadow Fail Caps", depth_fail_state); + psl->shadow_depth_fail_caps_mani_pass = DRW_pass_create("Shadow Fail Caps Mani", + depth_fail_state); #ifndef DEBUG_SHADOW_VOLUME - grp = DRW_shgroup_create(e_data.shadow_pass_sh, psl->shadow_depth_pass_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - grp = DRW_shgroup_create(e_data.shadow_pass_manifold_sh, psl->shadow_depth_pass_mani_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - grp = DRW_shgroup_create(e_data.shadow_fail_sh, psl->shadow_depth_fail_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - grp = DRW_shgroup_create(e_data.shadow_fail_manifold_sh, psl->shadow_depth_fail_mani_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - grp = DRW_shgroup_create(e_data.shadow_caps_sh, psl->shadow_depth_fail_caps_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - grp = DRW_shgroup_create(e_data.shadow_caps_manifold_sh, psl->shadow_depth_fail_caps_mani_pass); - DRW_shgroup_stencil_mask(grp, 0xFF); - - psl->composite_shadow_pass = DRW_pass_create( - "Composite Shadow", DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_NEQUAL | DRW_STATE_DEPTH_GREATER); - grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_shadow_pass); - DRW_shgroup_stencil_mask(grp, 0x00); - workbench_composite_uniforms(wpd, grp); - DRW_shgroup_uniform_float(grp, "lightMultiplier", &wpd->shadow_multiplier, 1); - DRW_shgroup_uniform_float(grp, "shadowMultiplier", &wpd->shadow_multiplier, 1); - DRW_shgroup_uniform_float_copy(grp, "shadowShift", scene->display.shadow_shift); - DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + grp = DRW_shgroup_create(e_data.shadow_pass_sh, psl->shadow_depth_pass_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + grp = DRW_shgroup_create(e_data.shadow_pass_manifold_sh, psl->shadow_depth_pass_mani_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + grp = DRW_shgroup_create(e_data.shadow_fail_sh, psl->shadow_depth_fail_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + grp = DRW_shgroup_create(e_data.shadow_fail_manifold_sh, psl->shadow_depth_fail_mani_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + grp = DRW_shgroup_create(e_data.shadow_caps_sh, psl->shadow_depth_fail_caps_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + grp = DRW_shgroup_create(e_data.shadow_caps_manifold_sh, + psl->shadow_depth_fail_caps_mani_pass); + DRW_shgroup_stencil_mask(grp, 0xFF); + + psl->composite_shadow_pass = DRW_pass_create( + "Composite Shadow", + DRW_STATE_WRITE_COLOR | DRW_STATE_STENCIL_NEQUAL | DRW_STATE_DEPTH_GREATER); + grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_shadow_pass); + DRW_shgroup_stencil_mask(grp, 0x00); + workbench_composite_uniforms(wpd, grp); + DRW_shgroup_uniform_float(grp, "lightMultiplier", &wpd->shadow_multiplier, 1); + DRW_shgroup_uniform_float(grp, "shadowMultiplier", &wpd->shadow_multiplier, 1); + DRW_shgroup_uniform_float_copy(grp, "shadowShift", scene->display.shadow_shift); + DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); #endif - } - else { - psl->composite_pass = DRW_pass_create( - "Composite", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_GREATER); - grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); - workbench_composite_uniforms(wpd, grp); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - } - - /** - * Order Independant Transparency. - * Similar to workbench forward. Duplicated code to avoid - * spaghetti with workbench forward. It would be great if we unify - * this in a clean way. - */ - if (OIT_ENABLED(wpd)) { - const bool do_cull = CULL_BACKFACE_ENABLED(wpd); - const int cull_state = (do_cull) ? DRW_STATE_CULL_BACK : 0; - /* Transparency Accum */ - { - /* Same as forward but here we use depth test to - * not bleed through other solid objects. */ - int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_OIT | DRW_STATE_DEPTH_LESS | cull_state; - psl->transparent_accum_pass = DRW_pass_create("Transparent Accum", state); - } - /* Depth */ - { - int state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | cull_state; - psl->object_outline_pass = DRW_pass_create("Transparent Depth", state); - } - /* OIT Composite */ - { - int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; - psl->oit_composite_pass = DRW_pass_create("OIT Composite", state); - - grp = DRW_shgroup_create(e_data.oit_resolve_sh, psl->oit_composite_pass); - DRW_shgroup_uniform_texture_ref(grp, "transparentAccum", &e_data.oit_accum_tx); - DRW_shgroup_uniform_texture_ref(grp, "transparentRevealage", &e_data.oit_revealage_tx); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - } + } + else { + psl->composite_pass = DRW_pass_create("Composite", + DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_GREATER); + grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); + workbench_composite_uniforms(wpd, grp); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + } + + /** + * Order Independant Transparency. + * Similar to workbench forward. Duplicated code to avoid + * spaghetti with workbench forward. It would be great if we unify + * this in a clean way. + */ + if (OIT_ENABLED(wpd)) { + const bool do_cull = CULL_BACKFACE_ENABLED(wpd); + const int cull_state = (do_cull) ? DRW_STATE_CULL_BACK : 0; + /* Transparency Accum */ + { + /* Same as forward but here we use depth test to + * not bleed through other solid objects. */ + int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_OIT | DRW_STATE_DEPTH_LESS | cull_state; + psl->transparent_accum_pass = DRW_pass_create("Transparent Accum", state); + } + /* Depth */ + { + int state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | cull_state; + psl->object_outline_pass = DRW_pass_create("Transparent Depth", state); + } + /* OIT Composite */ + { + int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; + psl->oit_composite_pass = DRW_pass_create("OIT Composite", state); + + grp = DRW_shgroup_create(e_data.oit_resolve_sh, psl->oit_composite_pass); + DRW_shgroup_uniform_texture_ref(grp, "transparentAccum", &e_data.oit_accum_tx); + DRW_shgroup_uniform_texture_ref(grp, "transparentRevealage", &e_data.oit_revealage_tx); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + } } -static WORKBENCH_MaterialData *get_or_create_material_data( - WORKBENCH_Data *vedata, Object *ob, Material *mat, Image *ima, ImageUser *iuser, int color_type, int interp) +static WORKBENCH_MaterialData *get_or_create_material_data(WORKBENCH_Data *vedata, + Object *ob, + Material *mat, + Image *ima, + ImageUser *iuser, + int color_type, + int interp) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - WORKBENCH_MaterialData *material; - WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( - &ob->id, &draw_engine_workbench_solid, sizeof(WORKBENCH_ObjectData), &workbench_init_object_data, NULL); - WORKBENCH_MaterialData material_template; - const bool is_ghost = (ob->dtx & OB_DRAWXRAY); - - /* Solid */ - workbench_material_update_data(wpd, ob, mat, &material_template); - material_template.object_id = OBJECT_ID_PASS_ENABLED(wpd) ? engine_object_data->object_id : 1; - material_template.color_type = color_type; - material_template.ima = ima; - material_template.iuser = iuser; - material_template.interp = interp; - uint hash = workbench_material_get_hash(&material_template, is_ghost); - - material = BLI_ghash_lookup(wpd->material_hash, POINTER_FROM_UINT(hash)); - if (material == NULL) { - material = MEM_mallocN(sizeof(WORKBENCH_MaterialData), __func__); - material->shgrp = DRW_shgroup_create( - (color_type == V3D_SHADING_TEXTURE_COLOR) ? wpd->prepass_texture_sh: wpd->prepass_solid_sh, - (ob->dtx & OB_DRAWXRAY) ? psl->ghost_prepass_pass : psl->prepass_pass); - workbench_material_copy(material, &material_template); - DRW_shgroup_stencil_mask(material->shgrp, (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF); - DRW_shgroup_uniform_int(material->shgrp, "object_id", &material->object_id, 1); - workbench_material_shgroup_uniform(wpd, material->shgrp, material, ob, true, true, interp); - BLI_ghash_insert(wpd->material_hash, POINTER_FROM_UINT(hash), material); - } - return material; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_MaterialData *material; + WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( + &ob->id, + &draw_engine_workbench_solid, + sizeof(WORKBENCH_ObjectData), + &workbench_init_object_data, + NULL); + WORKBENCH_MaterialData material_template; + const bool is_ghost = (ob->dtx & OB_DRAWXRAY); + + /* Solid */ + workbench_material_update_data(wpd, ob, mat, &material_template); + material_template.object_id = OBJECT_ID_PASS_ENABLED(wpd) ? engine_object_data->object_id : 1; + material_template.color_type = color_type; + material_template.ima = ima; + material_template.iuser = iuser; + material_template.interp = interp; + uint hash = workbench_material_get_hash(&material_template, is_ghost); + + material = BLI_ghash_lookup(wpd->material_hash, POINTER_FROM_UINT(hash)); + if (material == NULL) { + material = MEM_mallocN(sizeof(WORKBENCH_MaterialData), __func__); + material->shgrp = DRW_shgroup_create( + (color_type == V3D_SHADING_TEXTURE_COLOR) ? wpd->prepass_texture_sh : + wpd->prepass_solid_sh, + (ob->dtx & OB_DRAWXRAY) ? psl->ghost_prepass_pass : psl->prepass_pass); + workbench_material_copy(material, &material_template); + DRW_shgroup_stencil_mask(material->shgrp, (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF); + DRW_shgroup_uniform_int(material->shgrp, "object_id", &material->object_id, 1); + workbench_material_shgroup_uniform(wpd, material->shgrp, material, ob, true, true, interp); + BLI_ghash_insert(wpd->material_hash, POINTER_FROM_UINT(hash), material); + } + return material; } static void workbench_cache_populate_particles(WORKBENCH_Data *vedata, Object *ob) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - - for (ModifierData *md = ob->modifiers.first; md; md = md->next) { - if (md->type != eModifierType_ParticleSystem) { - continue; - } - ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; - if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { - continue; - } - ParticleSettings *part = psys->part; - const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; - - if (draw_as == PART_DRAW_PATH) { - Material *mat; - Image *image; - ImageUser *iuser; - int interp; - workbench_material_get_image_and_mat(ob, part->omat, &image, &iuser, &interp, &mat); - int color_type = workbench_material_determine_color_type(wpd, image, ob); - WORKBENCH_MaterialData *material = get_or_create_material_data(vedata, ob, mat, image, iuser, color_type, interp); - - struct GPUShader *shader = (color_type != V3D_SHADING_TEXTURE_COLOR) ? - wpd->prepass_solid_hair_sh : - wpd->prepass_texture_hair_sh; - DRWShadingGroup *shgrp = DRW_shgroup_hair_create( - ob, psys, md, - (ob->dtx & OB_DRAWXRAY) ? psl->ghost_prepass_hair_pass : psl->prepass_hair_pass, - shader); - DRW_shgroup_stencil_mask(shgrp, (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF); - DRW_shgroup_uniform_int(shgrp, "object_id", &material->object_id, 1); - workbench_material_shgroup_uniform(wpd, shgrp, material, ob, true, true, interp); - } - } + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + + for (ModifierData *md = ob->modifiers.first; md; md = md->next) { + if (md->type != eModifierType_ParticleSystem) { + continue; + } + ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; + if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { + continue; + } + ParticleSettings *part = psys->part; + const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; + + if (draw_as == PART_DRAW_PATH) { + Material *mat; + Image *image; + ImageUser *iuser; + int interp; + workbench_material_get_image_and_mat(ob, part->omat, &image, &iuser, &interp, &mat); + int color_type = workbench_material_determine_color_type(wpd, image, ob); + WORKBENCH_MaterialData *material = get_or_create_material_data( + vedata, ob, mat, image, iuser, color_type, interp); + + struct GPUShader *shader = (color_type != V3D_SHADING_TEXTURE_COLOR) ? + wpd->prepass_solid_hair_sh : + wpd->prepass_texture_hair_sh; + DRWShadingGroup *shgrp = DRW_shgroup_hair_create( + ob, + psys, + md, + (ob->dtx & OB_DRAWXRAY) ? psl->ghost_prepass_hair_pass : psl->prepass_hair_pass, + shader); + DRW_shgroup_stencil_mask(shgrp, (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF); + DRW_shgroup_uniform_int(shgrp, "object_id", &material->object_id, 1); + workbench_material_shgroup_uniform(wpd, shgrp, material, ob, true, true, interp); + } + } } void workbench_deferred_solid_cache_populate(WORKBENCH_Data *vedata, Object *ob) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - - if (!DRW_object_is_renderable(ob)) { - return; - } - - if (ob->type == OB_MESH) { - workbench_cache_populate_particles(vedata, ob); - } - - ModifierData *md; - if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && - (md = modifiers_findByType(ob, eModifierType_Smoke)) && - (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && - (((SmokeModifierData *)md)->domain != NULL)) - { - workbench_volume_cache_populate(vedata, scene, ob, md); - return; /* Do not draw solid in this case. */ - } - - if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { - return; - } - if ((ob->dt < OB_SOLID) && !DRW_state_is_image_render()) { - return; - } - - WORKBENCH_MaterialData *material; - if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - const bool is_active = (ob == draw_ctx->obact); - const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; - const bool use_hide = is_active && DRW_object_use_hide_faces(ob); - const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); - const Mesh *me = (ob->type == OB_MESH) ? ob->data : NULL; - bool has_transp_mat = false; - - if (!is_sculpt_mode && me && me->mloopuv && TEXTURE_DRAWING_ENABLED(wpd)) { - /* Draw textured */ - struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); - for (int i = 0; i < materials_len; i++) { - if (geom_array != NULL && geom_array[i] != NULL) { - Material *mat; - Image *image; - ImageUser *iuser; - int interp; - workbench_material_get_image_and_mat(ob, i + 1, &image, &iuser, &interp, &mat); - int color_type = workbench_material_determine_color_type(wpd, image, ob); - if (color_type == V3D_SHADING_MATERIAL_COLOR && mat && mat->a < 1.0) { - material = workbench_forward_get_or_create_material_data(vedata, ob, mat, image, iuser, color_type, 0); - has_transp_mat = true; - } - else { - material = get_or_create_material_data(vedata, ob, mat, image, iuser, color_type, interp); - } - DRW_shgroup_call_object_add(material->shgrp, geom_array[i], ob); - } - } - } - else if (ELEM(wpd->shading.color_type, - V3D_SHADING_SINGLE_COLOR, V3D_SHADING_OBJECT_COLOR, V3D_SHADING_RANDOM_COLOR)) - { - if ((ob->color[3] < 1.0f) && - (wpd->shading.color_type == V3D_SHADING_OBJECT_COLOR)) - { - /* Hack */ - wpd->shading.xray_alpha = ob->color[3]; - material = workbench_forward_get_or_create_material_data(vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); - has_transp_mat = true; - } - else { - /* Draw solid color */ - material = get_or_create_material_data(vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); - } - if (is_sculpt_mode) { - DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); - } - else { - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - DRW_shgroup_call_object_add(material->shgrp, geom, ob); - } - } - } - else { - /* Draw material color */ - if (is_sculpt_mode) { - /* Multiple materials are not supported in sculpt mode yet. */ - Material *mat = give_current_material(ob, 1); - material = get_or_create_material_data(vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); - DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); - } - else { - struct GPUBatch **geoms; - struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); - memset(gpumat_array, 0, sizeof(*gpumat_array) * materials_len); - - geoms = DRW_cache_object_surface_material_get(ob, gpumat_array, materials_len, NULL, NULL, NULL); - for (int i = 0; i < materials_len; ++i) { - if (geoms != NULL && geoms[i] != NULL) { - Material *mat = give_current_material(ob, i + 1); - if (mat != NULL && mat->a < 1.0f) { - /* Hack */ - wpd->shading.xray_alpha = mat->a; - material = workbench_forward_get_or_create_material_data(vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); - has_transp_mat = true; - } - else { - material = get_or_create_material_data(vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); - } - DRW_shgroup_call_object_add(material->shgrp, geoms[i], ob); - } - } - } - } - - if (SHADOW_ENABLED(wpd) && !(ob->dtx & OB_DRAW_NO_SHADOW_CAST)) { - bool is_manifold; - struct GPUBatch *geom_shadow = DRW_cache_object_edge_detection_get(ob, &is_manifold); - if (geom_shadow) { - if (is_sculpt_mode || use_hide) { - /* Currently unsupported in sculpt mode. We could revert to the slow - * method in this case but I'm not sure if it's a good idea given that - * sculpted meshes are heavy to begin with. */ - // DRW_shgroup_call_sculpt_add(wpd->shadow_shgrp, ob, ob->obmat); - } - else { - WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( - &ob->id, &draw_engine_workbench_solid, sizeof(WORKBENCH_ObjectData), &workbench_init_object_data, NULL); - - if (studiolight_object_cast_visible_shadow(wpd, ob, engine_object_data)) { - - invert_m4_m4(ob->imat, ob->obmat); - mul_v3_mat3_m4v3(engine_object_data->shadow_dir, ob->imat, e_data.display.light_direction); - - DRWShadingGroup *grp; - bool use_shadow_pass_technique = !studiolight_camera_in_object_shadow(wpd, ob, engine_object_data); - - if (use_shadow_pass_technique && !has_transp_mat) { - if (is_manifold) { - grp = DRW_shgroup_create(e_data.shadow_pass_manifold_sh, psl->shadow_depth_pass_mani_pass); - } - else { - grp = DRW_shgroup_create(e_data.shadow_pass_sh, psl->shadow_depth_pass_pass); - } - DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); - DRW_shgroup_uniform_float_copy(grp, "lightDistance", 1e5f); - DRW_shgroup_call_add(grp, geom_shadow, ob->obmat); + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + + if (!DRW_object_is_renderable(ob)) { + return; + } + + if (ob->type == OB_MESH) { + workbench_cache_populate_particles(vedata, ob); + } + + ModifierData *md; + if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && + (md = modifiers_findByType(ob, eModifierType_Smoke)) && + (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && + (((SmokeModifierData *)md)->domain != NULL)) { + workbench_volume_cache_populate(vedata, scene, ob, md); + return; /* Do not draw solid in this case. */ + } + + if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { + return; + } + if ((ob->dt < OB_SOLID) && !DRW_state_is_image_render()) { + return; + } + + WORKBENCH_MaterialData *material; + if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + const bool is_active = (ob == draw_ctx->obact); + const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; + const bool use_hide = is_active && DRW_object_use_hide_faces(ob); + const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); + const Mesh *me = (ob->type == OB_MESH) ? ob->data : NULL; + bool has_transp_mat = false; + + if (!is_sculpt_mode && me && me->mloopuv && TEXTURE_DRAWING_ENABLED(wpd)) { + /* Draw textured */ + struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); + for (int i = 0; i < materials_len; i++) { + if (geom_array != NULL && geom_array[i] != NULL) { + Material *mat; + Image *image; + ImageUser *iuser; + int interp; + workbench_material_get_image_and_mat(ob, i + 1, &image, &iuser, &interp, &mat); + int color_type = workbench_material_determine_color_type(wpd, image, ob); + if (color_type == V3D_SHADING_MATERIAL_COLOR && mat && mat->a < 1.0) { + material = workbench_forward_get_or_create_material_data( + vedata, ob, mat, image, iuser, color_type, 0); + has_transp_mat = true; + } + else { + material = get_or_create_material_data( + vedata, ob, mat, image, iuser, color_type, interp); + } + DRW_shgroup_call_object_add(material->shgrp, geom_array[i], ob); + } + } + } + else if (ELEM(wpd->shading.color_type, + V3D_SHADING_SINGLE_COLOR, + V3D_SHADING_OBJECT_COLOR, + V3D_SHADING_RANDOM_COLOR)) { + if ((ob->color[3] < 1.0f) && (wpd->shading.color_type == V3D_SHADING_OBJECT_COLOR)) { + /* Hack */ + wpd->shading.xray_alpha = ob->color[3]; + material = workbench_forward_get_or_create_material_data( + vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); + has_transp_mat = true; + } + else { + /* Draw solid color */ + material = get_or_create_material_data( + vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); + } + if (is_sculpt_mode) { + DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); + } + else { + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + DRW_shgroup_call_object_add(material->shgrp, geom, ob); + } + } + } + else { + /* Draw material color */ + if (is_sculpt_mode) { + /* Multiple materials are not supported in sculpt mode yet. */ + Material *mat = give_current_material(ob, 1); + material = get_or_create_material_data( + vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); + DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); + } + else { + struct GPUBatch **geoms; + struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); + memset(gpumat_array, 0, sizeof(*gpumat_array) * materials_len); + + geoms = DRW_cache_object_surface_material_get( + ob, gpumat_array, materials_len, NULL, NULL, NULL); + for (int i = 0; i < materials_len; ++i) { + if (geoms != NULL && geoms[i] != NULL) { + Material *mat = give_current_material(ob, i + 1); + if (mat != NULL && mat->a < 1.0f) { + /* Hack */ + wpd->shading.xray_alpha = mat->a; + material = workbench_forward_get_or_create_material_data( + vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); + has_transp_mat = true; + } + else { + material = get_or_create_material_data( + vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); + } + DRW_shgroup_call_object_add(material->shgrp, geoms[i], ob); + } + } + } + } + + if (SHADOW_ENABLED(wpd) && !(ob->dtx & OB_DRAW_NO_SHADOW_CAST)) { + bool is_manifold; + struct GPUBatch *geom_shadow = DRW_cache_object_edge_detection_get(ob, &is_manifold); + if (geom_shadow) { + if (is_sculpt_mode || use_hide) { + /* Currently unsupported in sculpt mode. We could revert to the slow + * method in this case but I'm not sure if it's a good idea given that + * sculpted meshes are heavy to begin with. */ + // DRW_shgroup_call_sculpt_add(wpd->shadow_shgrp, ob, ob->obmat); + } + else { + WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( + &ob->id, + &draw_engine_workbench_solid, + sizeof(WORKBENCH_ObjectData), + &workbench_init_object_data, + NULL); + + if (studiolight_object_cast_visible_shadow(wpd, ob, engine_object_data)) { + + invert_m4_m4(ob->imat, ob->obmat); + mul_v3_mat3_m4v3( + engine_object_data->shadow_dir, ob->imat, e_data.display.light_direction); + + DRWShadingGroup *grp; + bool use_shadow_pass_technique = !studiolight_camera_in_object_shadow( + wpd, ob, engine_object_data); + + if (use_shadow_pass_technique && !has_transp_mat) { + if (is_manifold) { + grp = DRW_shgroup_create(e_data.shadow_pass_manifold_sh, + psl->shadow_depth_pass_mani_pass); + } + else { + grp = DRW_shgroup_create(e_data.shadow_pass_sh, psl->shadow_depth_pass_pass); + } + DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); + DRW_shgroup_uniform_float_copy(grp, "lightDistance", 1e5f); + DRW_shgroup_call_add(grp, geom_shadow, ob->obmat); #ifdef DEBUG_SHADOW_VOLUME - DRW_debug_bbox(&engine_object_data->shadow_bbox, (float[4]){1.0f, 0.0f, 0.0f, 1.0f}); + DRW_debug_bbox(&engine_object_data->shadow_bbox, (float[4]){1.0f, 0.0f, 0.0f, 1.0f}); #endif - } - else { - float extrude_distance = studiolight_object_shadow_distance(wpd, ob, engine_object_data); - - /* TODO(fclem): only use caps if they are in the view frustum. */ - const bool need_caps = true; - if (need_caps) { - if (is_manifold) { - grp = DRW_shgroup_create(e_data.shadow_caps_manifold_sh, psl->shadow_depth_fail_caps_mani_pass); - } - else { - grp = DRW_shgroup_create(e_data.shadow_caps_sh, psl->shadow_depth_fail_caps_pass); - } - DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); - DRW_shgroup_uniform_float_copy(grp, "lightDistance", extrude_distance); - DRW_shgroup_call_add(grp, DRW_cache_object_surface_get(ob), ob->obmat); - } - - if (is_manifold) { - grp = DRW_shgroup_create(e_data.shadow_fail_manifold_sh, psl->shadow_depth_fail_mani_pass); - } - else { - grp = DRW_shgroup_create(e_data.shadow_fail_sh, psl->shadow_depth_fail_pass); - } - DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); - DRW_shgroup_uniform_float_copy(grp, "lightDistance", extrude_distance); - DRW_shgroup_call_add(grp, geom_shadow, ob->obmat); + } + else { + float extrude_distance = studiolight_object_shadow_distance( + wpd, ob, engine_object_data); + + /* TODO(fclem): only use caps if they are in the view frustum. */ + const bool need_caps = true; + if (need_caps) { + if (is_manifold) { + grp = DRW_shgroup_create(e_data.shadow_caps_manifold_sh, + psl->shadow_depth_fail_caps_mani_pass); + } + else { + grp = DRW_shgroup_create(e_data.shadow_caps_sh, + psl->shadow_depth_fail_caps_pass); + } + DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); + DRW_shgroup_uniform_float_copy(grp, "lightDistance", extrude_distance); + DRW_shgroup_call_add(grp, DRW_cache_object_surface_get(ob), ob->obmat); + } + + if (is_manifold) { + grp = DRW_shgroup_create(e_data.shadow_fail_manifold_sh, + psl->shadow_depth_fail_mani_pass); + } + else { + grp = DRW_shgroup_create(e_data.shadow_fail_sh, psl->shadow_depth_fail_pass); + } + DRW_shgroup_uniform_vec3(grp, "lightDirection", engine_object_data->shadow_dir, 1); + DRW_shgroup_uniform_float_copy(grp, "lightDistance", extrude_distance); + DRW_shgroup_call_add(grp, geom_shadow, ob->obmat); #ifdef DEBUG_SHADOW_VOLUME - DRW_debug_bbox(&engine_object_data->shadow_bbox, (float[4]){0.0f, 1.0f, 0.0f, 1.0f}); + DRW_debug_bbox(&engine_object_data->shadow_bbox, (float[4]){0.0f, 1.0f, 0.0f, 1.0f}); #endif - } - } - } - } - } - } + } + } + } + } + } + } } void workbench_deferred_cache_finish(WORKBENCH_Data *UNUSED(vedata)) @@ -1068,144 +1118,146 @@ void workbench_deferred_cache_finish(WORKBENCH_Data *UNUSED(vedata)) void workbench_deferred_draw_background(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PrivateData *wpd = stl->g_data; - const float clear_depth = 1.0f; - const float clear_color[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - uint clear_stencil = 0x00; - - DRW_stats_group_start("Clear Background"); - - if (OBJECT_ID_PASS_ENABLED(wpd)) { - /* From all the color buffers, only object id needs to be cleared. */ - GPU_framebuffer_bind(fbl->id_clear_fb); - GPU_framebuffer_clear_color(fbl->id_clear_fb, clear_color); - } - - GPU_framebuffer_bind(fbl->prepass_fb); - int clear_bits = GPU_DEPTH_BIT; - SET_FLAG_FROM_TEST(clear_bits, SHADOW_ENABLED(wpd), GPU_STENCIL_BIT); - GPU_framebuffer_clear(fbl->prepass_fb, clear_bits, clear_color, clear_depth, clear_stencil); - DRW_stats_group_end(); + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PrivateData *wpd = stl->g_data; + const float clear_depth = 1.0f; + const float clear_color[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + uint clear_stencil = 0x00; + + DRW_stats_group_start("Clear Background"); + + if (OBJECT_ID_PASS_ENABLED(wpd)) { + /* From all the color buffers, only object id needs to be cleared. */ + GPU_framebuffer_bind(fbl->id_clear_fb); + GPU_framebuffer_clear_color(fbl->id_clear_fb, clear_color); + } + + GPU_framebuffer_bind(fbl->prepass_fb); + int clear_bits = GPU_DEPTH_BIT; + SET_FLAG_FROM_TEST(clear_bits, SHADOW_ENABLED(wpd), GPU_STENCIL_BIT); + GPU_framebuffer_clear(fbl->prepass_fb, clear_bits, clear_color, clear_depth, clear_stencil); + DRW_stats_group_end(); } void workbench_deferred_draw_scene(WORKBENCH_Data *vedata) { - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PrivateData *wpd = stl->g_data; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - - if (TAA_ENABLED(wpd)) { - workbench_taa_draw_scene_start(vedata); - } - - /* clear in background */ - GPU_framebuffer_bind(fbl->prepass_fb); - DRW_draw_pass(psl->prepass_pass); - DRW_draw_pass(psl->prepass_hair_pass); - - if (GHOST_ENABLED(psl)) { - /* meh, late init to not request a depth buffer we won't use. */ - workbench_setup_ghost_framebuffer(fbl); - - GPU_framebuffer_bind(fbl->ghost_prepass_fb); - GPU_framebuffer_clear_depth(fbl->ghost_prepass_fb, 1.0f); - DRW_draw_pass(psl->ghost_prepass_pass); - DRW_draw_pass(psl->ghost_prepass_hair_pass); - - GPU_framebuffer_bind(dfbl->depth_only_fb); - DRW_draw_pass(psl->ghost_resolve_pass); - } - - if (CAVITY_ENABLED(wpd)) { - GPU_framebuffer_bind(fbl->cavity_fb); - DRW_draw_pass(psl->cavity_pass); - } - - if (SHADOW_ENABLED(wpd)) { + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PrivateData *wpd = stl->g_data; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + + if (TAA_ENABLED(wpd)) { + workbench_taa_draw_scene_start(vedata); + } + + /* clear in background */ + GPU_framebuffer_bind(fbl->prepass_fb); + DRW_draw_pass(psl->prepass_pass); + DRW_draw_pass(psl->prepass_hair_pass); + + if (GHOST_ENABLED(psl)) { + /* meh, late init to not request a depth buffer we won't use. */ + workbench_setup_ghost_framebuffer(fbl); + + GPU_framebuffer_bind(fbl->ghost_prepass_fb); + GPU_framebuffer_clear_depth(fbl->ghost_prepass_fb, 1.0f); + DRW_draw_pass(psl->ghost_prepass_pass); + DRW_draw_pass(psl->ghost_prepass_hair_pass); + + GPU_framebuffer_bind(dfbl->depth_only_fb); + DRW_draw_pass(psl->ghost_resolve_pass); + } + + if (CAVITY_ENABLED(wpd)) { + GPU_framebuffer_bind(fbl->cavity_fb); + DRW_draw_pass(psl->cavity_pass); + } + + if (SHADOW_ENABLED(wpd)) { #ifdef DEBUG_SHADOW_VOLUME - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->composite_pass); + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->composite_pass); #else - GPU_framebuffer_bind(dfbl->depth_only_fb); + GPU_framebuffer_bind(dfbl->depth_only_fb); #endif - DRW_draw_pass(psl->shadow_depth_pass_pass); - DRW_draw_pass(psl->shadow_depth_pass_mani_pass); - DRW_draw_pass(psl->shadow_depth_fail_pass); - DRW_draw_pass(psl->shadow_depth_fail_mani_pass); - DRW_draw_pass(psl->shadow_depth_fail_caps_pass); - DRW_draw_pass(psl->shadow_depth_fail_caps_mani_pass); - - if (GHOST_ENABLED(psl)) { - /* We need to set the stencil buffer to 0 where Ghost objects - * else they will get shadow and even badly shadowed. */ - DRW_pass_state_set(psl->ghost_prepass_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); - DRW_pass_state_set(psl->ghost_prepass_hair_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); - - DRW_draw_pass(psl->ghost_prepass_pass); - DRW_draw_pass(psl->ghost_prepass_hair_pass); - } + DRW_draw_pass(psl->shadow_depth_pass_pass); + DRW_draw_pass(psl->shadow_depth_pass_mani_pass); + DRW_draw_pass(psl->shadow_depth_fail_pass); + DRW_draw_pass(psl->shadow_depth_fail_mani_pass); + DRW_draw_pass(psl->shadow_depth_fail_caps_pass); + DRW_draw_pass(psl->shadow_depth_fail_caps_mani_pass); + + if (GHOST_ENABLED(psl)) { + /* We need to set the stencil buffer to 0 where Ghost objects + * else they will get shadow and even badly shadowed. */ + DRW_pass_state_set(psl->ghost_prepass_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); + DRW_pass_state_set(psl->ghost_prepass_hair_pass, + DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); + + DRW_draw_pass(psl->ghost_prepass_pass); + DRW_draw_pass(psl->ghost_prepass_hair_pass); + } #ifndef DEBUG_SHADOW_VOLUME - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->composite_pass); - DRW_draw_pass(psl->composite_shadow_pass); + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->composite_pass); + DRW_draw_pass(psl->composite_shadow_pass); #endif - } - else { - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->composite_pass); - } - - /* TODO(fclem): only enable when needed (when there is overlays). */ - if (GHOST_ENABLED(psl)) { - /* In order to not draw on top of ghost objects, we clear the stencil - * to 0xFF and the ghost object to 0x00 and only draw overlays on top if - * stencil is not 0. */ - GPU_framebuffer_bind(dfbl->depth_only_fb); - GPU_framebuffer_clear_stencil(dfbl->depth_only_fb, 0xFF); - - DRW_pass_state_set(psl->ghost_prepass_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); - DRW_pass_state_set(psl->ghost_prepass_hair_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); - - DRW_draw_pass(psl->ghost_prepass_pass); - DRW_draw_pass(psl->ghost_prepass_hair_pass); - } - - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->background_pass); - - if (OIT_ENABLED(wpd) && !DRW_pass_is_empty(psl->transparent_accum_pass)) { - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - /* meh, late init to not request buffers we won't use. */ - workbench_init_oit_framebuffer(fbl, dtxl); - - const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - GPU_framebuffer_bind(fbl->transparent_accum_fb); - GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); - DRW_draw_pass(psl->transparent_accum_pass); - - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->oit_composite_pass); - } - - if (wpd->volumes_do) { - GPU_framebuffer_bind(fbl->color_only_fb); - DRW_draw_pass(psl->volume_pass); - } - - workbench_dof_draw_pass(vedata); - workbench_aa_draw_pass(vedata, e_data.composite_buffer_tx); + } + else { + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->composite_pass); + } + + /* TODO(fclem): only enable when needed (when there is overlays). */ + if (GHOST_ENABLED(psl)) { + /* In order to not draw on top of ghost objects, we clear the stencil + * to 0xFF and the ghost object to 0x00 and only draw overlays on top if + * stencil is not 0. */ + GPU_framebuffer_bind(dfbl->depth_only_fb); + GPU_framebuffer_clear_stencil(dfbl->depth_only_fb, 0xFF); + + DRW_pass_state_set(psl->ghost_prepass_pass, DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); + DRW_pass_state_set(psl->ghost_prepass_hair_pass, + DRW_STATE_DEPTH_EQUAL | DRW_STATE_WRITE_STENCIL); + + DRW_draw_pass(psl->ghost_prepass_pass); + DRW_draw_pass(psl->ghost_prepass_hair_pass); + } + + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->background_pass); + + if (OIT_ENABLED(wpd) && !DRW_pass_is_empty(psl->transparent_accum_pass)) { + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* meh, late init to not request buffers we won't use. */ + workbench_init_oit_framebuffer(fbl, dtxl); + + const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + GPU_framebuffer_bind(fbl->transparent_accum_fb); + GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); + DRW_draw_pass(psl->transparent_accum_pass); + + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->oit_composite_pass); + } + + if (wpd->volumes_do) { + GPU_framebuffer_bind(fbl->color_only_fb); + DRW_draw_pass(psl->volume_pass); + } + + workbench_dof_draw_pass(vedata); + workbench_aa_draw_pass(vedata, e_data.composite_buffer_tx); } void workbench_deferred_draw_finish(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; - /* XXX TODO(fclem) do not discard UBOS after drawing! Store them per viewport. */ - workbench_private_data_free(wpd); - workbench_volume_smoke_textures_free(wpd); + /* XXX TODO(fclem) do not discard UBOS after drawing! Store them per viewport. */ + workbench_private_data_free(wpd); + workbench_volume_smoke_textures_free(wpd); } diff --git a/source/blender/draw/engines/workbench/workbench_effect_aa.c b/source/blender/draw/engines/workbench/workbench_effect_aa.c index 226f1746e50..a80f6ce338b 100644 --- a/source/blender/draw/engines/workbench/workbench_effect_aa.c +++ b/source/blender/draw/engines/workbench/workbench_effect_aa.c @@ -24,83 +24,82 @@ #include "workbench_private.h" - void workbench_aa_create_pass(WORKBENCH_Data *vedata, GPUTexture **tx) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_EffectInfo *effect_info = stl->effects; - const DRWContextState *draw_ctx = DRW_context_state_get(); + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_EffectInfo *effect_info = stl->effects; + const DRWContextState *draw_ctx = DRW_context_state_get(); - if (draw_ctx->evil_C != NULL) { - struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); - wpd->is_playback = ED_screen_animation_playing(wm) != NULL; - } - else { - wpd->is_playback = false; - } + if (draw_ctx->evil_C != NULL) { + struct wmWindowManager *wm = CTX_wm_manager(draw_ctx->evil_C); + wpd->is_playback = ED_screen_animation_playing(wm) != NULL; + } + else { + wpd->is_playback = false; + } - if (TAA_ENABLED(wpd)) { - psl->effect_aa_pass = workbench_taa_create_pass(vedata, tx); - } - else if (FXAA_ENABLED(wpd)) { - psl->effect_aa_pass = workbench_fxaa_create_pass(tx); - effect_info->jitter_index = 0; - } - else { - psl->effect_aa_pass = NULL; - } + if (TAA_ENABLED(wpd)) { + psl->effect_aa_pass = workbench_taa_create_pass(vedata, tx); + } + else if (FXAA_ENABLED(wpd)) { + psl->effect_aa_pass = workbench_fxaa_create_pass(tx); + effect_info->jitter_index = 0; + } + else { + psl->effect_aa_pass = NULL; + } } static void workspace_aa_draw_transform(GPUTexture *tx, WORKBENCH_PrivateData *wpd) { - if (DRW_state_is_image_render()) { - /* Linear result for render. */ - DRW_transform_none(tx); - } - else { - /* Display space result for viewport. */ - DRW_transform_to_display(tx, wpd->use_color_render_settings, wpd->use_color_render_settings); - } + if (DRW_state_is_image_render()) { + /* Linear result for render. */ + DRW_transform_none(tx); + } + else { + /* Display space result for viewport. */ + DRW_transform_to_display(tx, wpd->use_color_render_settings, wpd->use_color_render_settings); + } } void workbench_aa_draw_pass(WORKBENCH_Data *vedata, GPUTexture *tx) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_EffectInfo *effect_info = stl->effects; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_EffectInfo *effect_info = stl->effects; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - if (FXAA_ENABLED(wpd)) { - GPU_framebuffer_bind(fbl->effect_fb); - workspace_aa_draw_transform(tx, wpd); - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_draw_pass(psl->effect_aa_pass); - } - else if (TAA_ENABLED(wpd)) { - /* - * when drawing the first TAA frame, we transform directly to the - * color_only_fb as the TAA shader is just performing a direct copy. - * the workbench_taa_draw_screen_end will fill the history buffer - * for the other iterations. - */ - if (effect_info->jitter_index == 1) { - GPU_framebuffer_bind(dfbl->color_only_fb); - workspace_aa_draw_transform(tx, wpd); - } - else { - GPU_framebuffer_bind(fbl->effect_fb); - workspace_aa_draw_transform(tx, wpd); - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_draw_pass(psl->effect_aa_pass); - } - workbench_taa_draw_scene_end(vedata); - } - else { - GPU_framebuffer_bind(dfbl->color_only_fb); - workspace_aa_draw_transform(tx, wpd); - } + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + if (FXAA_ENABLED(wpd)) { + GPU_framebuffer_bind(fbl->effect_fb); + workspace_aa_draw_transform(tx, wpd); + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_draw_pass(psl->effect_aa_pass); + } + else if (TAA_ENABLED(wpd)) { + /* + * when drawing the first TAA frame, we transform directly to the + * color_only_fb as the TAA shader is just performing a direct copy. + * the workbench_taa_draw_screen_end will fill the history buffer + * for the other iterations. + */ + if (effect_info->jitter_index == 1) { + GPU_framebuffer_bind(dfbl->color_only_fb); + workspace_aa_draw_transform(tx, wpd); + } + else { + GPU_framebuffer_bind(fbl->effect_fb); + workspace_aa_draw_transform(tx, wpd); + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_draw_pass(psl->effect_aa_pass); + } + workbench_taa_draw_scene_end(vedata); + } + else { + GPU_framebuffer_bind(dfbl->color_only_fb); + workspace_aa_draw_transform(tx, wpd); + } } diff --git a/source/blender/draw/engines/workbench/workbench_effect_dof.c b/source/blender/draw/engines/workbench/workbench_effect_dof.c index dca65355c8f..3e35f8120d7 100644 --- a/source/blender/draw/engines/workbench/workbench_effect_dof.c +++ b/source/blender/draw/engines/workbench/workbench_effect_dof.c @@ -29,15 +29,15 @@ /* *********** STATIC *********** */ static struct { - struct GPUShader *effect_dof_prepare_sh; - struct GPUShader *effect_dof_downsample_sh; - struct GPUShader *effect_dof_flatten_v_sh; - struct GPUShader *effect_dof_flatten_h_sh; - struct GPUShader *effect_dof_dilate_v_sh; - struct GPUShader *effect_dof_dilate_h_sh; - struct GPUShader *effect_dof_blur1_sh; - struct GPUShader *effect_dof_blur2_sh; - struct GPUShader *effect_dof_resolve_sh; + struct GPUShader *effect_dof_prepare_sh; + struct GPUShader *effect_dof_downsample_sh; + struct GPUShader *effect_dof_flatten_v_sh; + struct GPUShader *effect_dof_flatten_h_sh; + struct GPUShader *effect_dof_dilate_v_sh; + struct GPUShader *effect_dof_dilate_h_sh; + struct GPUShader *effect_dof_blur1_sh; + struct GPUShader *effect_dof_blur2_sh; + struct GPUShader *effect_dof_resolve_sh; } e_data = {NULL}; /* Shaders */ @@ -50,385 +50,384 @@ extern char datatoc_workbench_effect_dof_frag_glsl[]; */ static void square_to_circle(float x, float y, float *r, float *T) { - if (x > -y) { - if (x > y) { - *r = x; - *T = (M_PI / 4.0f) * (y / x); - } - else { - *r = y; - *T = (M_PI / 4.0f) * (2 - (x / y)); - } - } - else { - if (x < y) { - *r = -x; - *T = (M_PI / 4.0f) * (4 + (y / x)); - } - else { - *r = -y; - if (y != 0) { - *T = (M_PI / 4.0f) * (6 - (x / y)); - } - else { - *T = 0.0f; - } - } - } + if (x > -y) { + if (x > y) { + *r = x; + *T = (M_PI / 4.0f) * (y / x); + } + else { + *r = y; + *T = (M_PI / 4.0f) * (2 - (x / y)); + } + } + else { + if (x < y) { + *r = -x; + *T = (M_PI / 4.0f) * (4 + (y / x)); + } + else { + *r = -y; + if (y != 0) { + *T = (M_PI / 4.0f) * (6 - (x / y)); + } + else { + *T = 0.0f; + } + } + } } #define KERNEL_RAD 3 -#define SAMP_LEN SQUARE(KERNEL_RAD * 2 + 1) +#define SAMP_LEN SQUARE(KERNEL_RAD * 2 + 1) -static void workbench_dof_setup_samples( - struct GPUUniformBuffer **ubo, float **data, - float bokeh_sides, float bokeh_rotation, float bokeh_ratio) +static void workbench_dof_setup_samples(struct GPUUniformBuffer **ubo, + float **data, + float bokeh_sides, + float bokeh_rotation, + float bokeh_ratio) { - if (*data == NULL) { - *data = MEM_callocN(sizeof(float) * 4 * SAMP_LEN, "workbench dof samples"); - } - if (*ubo == NULL) { - *ubo = DRW_uniformbuffer_create(sizeof(float) * 4 * SAMP_LEN, NULL); - } - - float *samp = *data; - for (int i = 0; i <= KERNEL_RAD; ++i) { - for (int j = -KERNEL_RAD; j <= KERNEL_RAD; ++j) { - for (int k = -KERNEL_RAD; k <= KERNEL_RAD; ++k) { - if (abs(j) > i || abs(k) > i) { - continue; - } - if (abs(j) < i && abs(k) < i) { - continue; - } - float x = ((float)j) / KERNEL_RAD; - float y = ((float)k) / KERNEL_RAD; - - float r, T; - square_to_circle(x, y, &r, &T); - samp[2] = r; - - /* Bokeh shape parametrisation */ - if (bokeh_sides > 1.0f) { - float denom = T - (2.0 * M_PI / bokeh_sides) * floorf((bokeh_sides * T + M_PI) / (2.0 * M_PI)); - r *= cosf(M_PI / bokeh_sides) / cosf(denom); - } - - T += bokeh_rotation; - - samp[0] = r * cosf(T) * bokeh_ratio; - samp[1] = r * sinf(T); - samp += 4; - } - } - } - - DRW_uniformbuffer_update(*ubo, *data); + if (*data == NULL) { + *data = MEM_callocN(sizeof(float) * 4 * SAMP_LEN, "workbench dof samples"); + } + if (*ubo == NULL) { + *ubo = DRW_uniformbuffer_create(sizeof(float) * 4 * SAMP_LEN, NULL); + } + + float *samp = *data; + for (int i = 0; i <= KERNEL_RAD; ++i) { + for (int j = -KERNEL_RAD; j <= KERNEL_RAD; ++j) { + for (int k = -KERNEL_RAD; k <= KERNEL_RAD; ++k) { + if (abs(j) > i || abs(k) > i) { + continue; + } + if (abs(j) < i && abs(k) < i) { + continue; + } + float x = ((float)j) / KERNEL_RAD; + float y = ((float)k) / KERNEL_RAD; + + float r, T; + square_to_circle(x, y, &r, &T); + samp[2] = r; + + /* Bokeh shape parametrisation */ + if (bokeh_sides > 1.0f) { + float denom = T - (2.0 * M_PI / bokeh_sides) * + floorf((bokeh_sides * T + M_PI) / (2.0 * M_PI)); + r *= cosf(M_PI / bokeh_sides) / cosf(denom); + } + + T += bokeh_rotation; + + samp[0] = r * cosf(T) * bokeh_ratio; + samp[1] = r * sinf(T); + samp += 4; + } + } + } + + DRW_uniformbuffer_update(*ubo, *data); } void workbench_dof_engine_init(WORKBENCH_Data *vedata, Object *camera) { - WORKBENCH_TextureList *txl = vedata->txl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - - if ((wpd->shading.flag & V3D_SHADING_DEPTH_OF_FIELD) == 0 || - (camera == NULL)) - { - wpd->dof_enabled = false; - return; - } - - if (e_data.effect_dof_prepare_sh == NULL) { - e_data.effect_dof_prepare_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define PREPARE\n"); - - e_data.effect_dof_downsample_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define DOWNSAMPLE\n"); - - e_data.effect_dof_flatten_v_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define FLATTEN_VERTICAL\n"); - - e_data.effect_dof_flatten_h_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define FLATTEN_HORIZONTAL\n"); - - e_data.effect_dof_dilate_v_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define DILATE_VERTICAL\n"); - - e_data.effect_dof_dilate_h_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define DILATE_HORIZONTAL\n"); - - e_data.effect_dof_blur1_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define BLUR1\n"); - - e_data.effect_dof_blur2_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define BLUR2\n"); - - e_data.effect_dof_resolve_sh = DRW_shader_create_fullscreen( - datatoc_workbench_effect_dof_frag_glsl, - "#define RESOLVE\n"); - } - - const float *full_size = DRW_viewport_size_get(); - int size[2] = {full_size[0] / 2, full_size[1] / 2}; + WORKBENCH_TextureList *txl = vedata->txl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + + if ((wpd->shading.flag & V3D_SHADING_DEPTH_OF_FIELD) == 0 || (camera == NULL)) { + wpd->dof_enabled = false; + return; + } + + if (e_data.effect_dof_prepare_sh == NULL) { + e_data.effect_dof_prepare_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define PREPARE\n"); + + e_data.effect_dof_downsample_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define DOWNSAMPLE\n"); + + e_data.effect_dof_flatten_v_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define FLATTEN_VERTICAL\n"); + + e_data.effect_dof_flatten_h_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define FLATTEN_HORIZONTAL\n"); + + e_data.effect_dof_dilate_v_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define DILATE_VERTICAL\n"); + + e_data.effect_dof_dilate_h_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define DILATE_HORIZONTAL\n"); + + e_data.effect_dof_blur1_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define BLUR1\n"); + + e_data.effect_dof_blur2_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define BLUR2\n"); + + e_data.effect_dof_resolve_sh = DRW_shader_create_fullscreen( + datatoc_workbench_effect_dof_frag_glsl, "#define RESOLVE\n"); + } + + const float *full_size = DRW_viewport_size_get(); + int size[2] = {full_size[0] / 2, full_size[1] / 2}; #if 0 - /* NOTE: We Ceil here in order to not miss any edge texel if using a NPO2 texture. */ - int shrink_h_size[2] = {ceilf(size[0] / 8.0f), size[1]}; - int shrink_w_size[2] = {shrink_h_size[0], ceilf(size[1] / 8.0f)}; + /* NOTE: We Ceil here in order to not miss any edge texel if using a NPO2 texture. */ + int shrink_h_size[2] = {ceilf(size[0] / 8.0f), size[1]}; + int shrink_w_size[2] = {shrink_h_size[0], ceilf(size[1] / 8.0f)}; #endif - DRW_texture_ensure_2d(&txl->dof_source_tx, size[0], size[1], GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); - DRW_texture_ensure_2d(&txl->coc_halfres_tx, size[0], size[1], GPU_RG8, DRW_TEX_FILTER | DRW_TEX_MIPMAP); - wpd->dof_blur_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_R11F_G11F_B10F, &draw_engine_workbench_solid); + DRW_texture_ensure_2d( + &txl->dof_source_tx, size[0], size[1], GPU_R11F_G11F_B10F, DRW_TEX_FILTER | DRW_TEX_MIPMAP); + DRW_texture_ensure_2d( + &txl->coc_halfres_tx, size[0], size[1], GPU_RG8, DRW_TEX_FILTER | DRW_TEX_MIPMAP); + wpd->dof_blur_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R11F_G11F_B10F, &draw_engine_workbench_solid); #if 0 - wpd->coc_temp_tx = DRW_texture_pool_query_2d(shrink_h_size[0], shrink_h_size[1], GPU_RG8, &draw_engine_workbench_solid); - wpd->coc_tiles_tx[0] = DRW_texture_pool_query_2d(shrink_w_size[0], shrink_w_size[1], GPU_RG8, &draw_engine_workbench_solid); - wpd->coc_tiles_tx[1] = DRW_texture_pool_query_2d(shrink_w_size[0], shrink_w_size[1], GPU_RG8, &draw_engine_workbench_solid); + wpd->coc_temp_tx = DRW_texture_pool_query_2d(shrink_h_size[0], shrink_h_size[1], GPU_RG8, &draw_engine_workbench_solid); + wpd->coc_tiles_tx[0] = DRW_texture_pool_query_2d(shrink_w_size[0], shrink_w_size[1], GPU_RG8, &draw_engine_workbench_solid); + wpd->coc_tiles_tx[1] = DRW_texture_pool_query_2d(shrink_w_size[0], shrink_w_size[1], GPU_RG8, &draw_engine_workbench_solid); #endif - GPU_framebuffer_ensure_config(&fbl->dof_downsample_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->dof_source_tx), - GPU_ATTACHMENT_TEXTURE(txl->coc_halfres_tx), - }); + GPU_framebuffer_ensure_config(&fbl->dof_downsample_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->dof_source_tx), + GPU_ATTACHMENT_TEXTURE(txl->coc_halfres_tx), + }); #if 0 - GPU_framebuffer_ensure_config(&fbl->dof_coc_tile_h_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(wpd->coc_temp_tx), - }); - GPU_framebuffer_ensure_config(&fbl->dof_coc_tile_v_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(wpd->coc_tiles_tx[0]), - }); - GPU_framebuffer_ensure_config(&fbl->dof_coc_dilate_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(wpd->coc_tiles_tx[1]), - }); + GPU_framebuffer_ensure_config(&fbl->dof_coc_tile_h_fb, { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(wpd->coc_temp_tx), + }); + GPU_framebuffer_ensure_config(&fbl->dof_coc_tile_v_fb, { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(wpd->coc_tiles_tx[0]), + }); + GPU_framebuffer_ensure_config(&fbl->dof_coc_dilate_fb, { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(wpd->coc_tiles_tx[1]), + }); #endif - GPU_framebuffer_ensure_config(&fbl->dof_blur1_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(wpd->dof_blur_tx), - }); - GPU_framebuffer_ensure_config(&fbl->dof_blur2_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->dof_source_tx), - }); - - { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); - RegionView3D *rv3d = draw_ctx->rv3d; - Camera *cam = (Camera *)camera->data; - - /* Parameters */ - /* TODO UI Options */ - float fstop = cam->gpu_dof.fstop; - float sensor = BKE_camera_sensor_size(cam->sensor_fit, cam->sensor_x, cam->sensor_y); - float focus_dist = BKE_camera_object_dof_distance(camera); - float focal_len = cam->lens; - - /* TODO(fclem) deduplicate with eevee */ - - /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm - * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though - * because the shader reads coordinates in world space, which is in blender units. - * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ - float scale = (scene_eval->unit.system) ? scene_eval->unit.scale_length : 1.0f; - float scale_camera = 0.001f / scale; - /* we want radius here for the aperture number */ - float aperture = 0.5f * scale_camera * focal_len / fstop; - float focal_len_scaled = scale_camera * focal_len; - float sensor_scaled = scale_camera * sensor; - - if (rv3d != NULL) { - sensor_scaled *= rv3d->viewcamtexcofac[0]; - } - - wpd->dof_aperturesize = aperture * fabsf(focal_len_scaled / (focus_dist - focal_len_scaled)); - wpd->dof_distance = -focus_dist; - wpd->dof_invsensorsize = full_size[0] / sensor_scaled; - - wpd->dof_near_far[0] = -cam->clip_start; - wpd->dof_near_far[1] = -cam->clip_end; - - float blades = cam->gpu_dof.num_blades; - float rotation = cam->gpu_dof.rotation; - float ratio = 1.0f / cam->gpu_dof.ratio; - - if (wpd->dof_ubo == NULL || - blades != wpd->dof_blades || - rotation != wpd->dof_rotation || - ratio != wpd->dof_ratio) - { - wpd->dof_blades = blades; - wpd->dof_rotation = rotation; - wpd->dof_ratio = ratio; - workbench_dof_setup_samples(&wpd->dof_ubo, &stl->dof_ubo_data, blades, rotation, ratio); - } - } - - wpd->dof_enabled = true; + GPU_framebuffer_ensure_config(&fbl->dof_blur1_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(wpd->dof_blur_tx), + }); + GPU_framebuffer_ensure_config(&fbl->dof_blur2_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->dof_source_tx), + }); + + { + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene_eval = DEG_get_evaluated_scene(draw_ctx->depsgraph); + RegionView3D *rv3d = draw_ctx->rv3d; + Camera *cam = (Camera *)camera->data; + + /* Parameters */ + /* TODO UI Options */ + float fstop = cam->gpu_dof.fstop; + float sensor = BKE_camera_sensor_size(cam->sensor_fit, cam->sensor_x, cam->sensor_y); + float focus_dist = BKE_camera_object_dof_distance(camera); + float focal_len = cam->lens; + + /* TODO(fclem) deduplicate with eevee */ + + /* this is factor that converts to the scene scale. focal length and sensor are expressed in mm + * unit.scale_length is how many meters per blender unit we have. We want to convert to blender units though + * because the shader reads coordinates in world space, which is in blender units. + * Note however that focus_distance is already in blender units and shall not be scaled here (see T48157). */ + float scale = (scene_eval->unit.system) ? scene_eval->unit.scale_length : 1.0f; + float scale_camera = 0.001f / scale; + /* we want radius here for the aperture number */ + float aperture = 0.5f * scale_camera * focal_len / fstop; + float focal_len_scaled = scale_camera * focal_len; + float sensor_scaled = scale_camera * sensor; + + if (rv3d != NULL) { + sensor_scaled *= rv3d->viewcamtexcofac[0]; + } + + wpd->dof_aperturesize = aperture * fabsf(focal_len_scaled / (focus_dist - focal_len_scaled)); + wpd->dof_distance = -focus_dist; + wpd->dof_invsensorsize = full_size[0] / sensor_scaled; + + wpd->dof_near_far[0] = -cam->clip_start; + wpd->dof_near_far[1] = -cam->clip_end; + + float blades = cam->gpu_dof.num_blades; + float rotation = cam->gpu_dof.rotation; + float ratio = 1.0f / cam->gpu_dof.ratio; + + if (wpd->dof_ubo == NULL || blades != wpd->dof_blades || rotation != wpd->dof_rotation || + ratio != wpd->dof_ratio) { + wpd->dof_blades = blades; + wpd->dof_rotation = rotation; + wpd->dof_ratio = ratio; + workbench_dof_setup_samples(&wpd->dof_ubo, &stl->dof_ubo_data, blades, rotation, ratio); + } + } + + wpd->dof_enabled = true; } -void workbench_dof_create_pass(WORKBENCH_Data *vedata, GPUTexture **dof_input, GPUTexture *noise_tex) +void workbench_dof_create_pass(WORKBENCH_Data *vedata, + GPUTexture **dof_input, + GPUTexture *noise_tex) { - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_TextureList *txl = vedata->txl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - if (!wpd->dof_enabled) { - return; - } - - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - psl->dof_down_ps = DRW_pass_create("DoF DownSample", DRW_STATE_WRITE_COLOR); - psl->dof_down2_ps = DRW_pass_create("DoF DownSample", DRW_STATE_WRITE_COLOR); - psl->dof_flatten_h_ps = DRW_pass_create("DoF Flatten Coc H", DRW_STATE_WRITE_COLOR); - psl->dof_flatten_v_ps = DRW_pass_create("DoF Flatten Coc V", DRW_STATE_WRITE_COLOR); - psl->dof_dilate_h_ps = DRW_pass_create("DoF Dilate Coc H", DRW_STATE_WRITE_COLOR); - psl->dof_dilate_v_ps = DRW_pass_create("DoF Dilate Coc V", DRW_STATE_WRITE_COLOR); - psl->dof_blur1_ps = DRW_pass_create("DoF Blur 1", DRW_STATE_WRITE_COLOR); - psl->dof_blur2_ps = DRW_pass_create("DoF Blur 2", DRW_STATE_WRITE_COLOR); - psl->dof_resolve_ps = DRW_pass_create("DoF Resolve", DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); - - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_prepare_sh, psl->dof_down_ps); - DRW_shgroup_uniform_texture_ref(grp, "sceneColorTex", dof_input); - DRW_shgroup_uniform_texture(grp, "sceneDepthTex", dtxl->depth); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_uniform_vec3(grp, "dofParams", &wpd->dof_aperturesize, 1); - DRW_shgroup_uniform_vec2(grp, "nearFar", wpd->dof_near_far, 1); - DRW_shgroup_call_add(grp, quad, NULL); - } - - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_downsample_sh, psl->dof_down2_ps); - DRW_shgroup_uniform_texture(grp, "sceneColorTex", txl->dof_source_tx); - DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); - DRW_shgroup_call_add(grp, quad, NULL); - } + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_TextureList *txl = vedata->txl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + if (!wpd->dof_enabled) { + return; + } + + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + psl->dof_down_ps = DRW_pass_create("DoF DownSample", DRW_STATE_WRITE_COLOR); + psl->dof_down2_ps = DRW_pass_create("DoF DownSample", DRW_STATE_WRITE_COLOR); + psl->dof_flatten_h_ps = DRW_pass_create("DoF Flatten Coc H", DRW_STATE_WRITE_COLOR); + psl->dof_flatten_v_ps = DRW_pass_create("DoF Flatten Coc V", DRW_STATE_WRITE_COLOR); + psl->dof_dilate_h_ps = DRW_pass_create("DoF Dilate Coc H", DRW_STATE_WRITE_COLOR); + psl->dof_dilate_v_ps = DRW_pass_create("DoF Dilate Coc V", DRW_STATE_WRITE_COLOR); + psl->dof_blur1_ps = DRW_pass_create("DoF Blur 1", DRW_STATE_WRITE_COLOR); + psl->dof_blur2_ps = DRW_pass_create("DoF Blur 2", DRW_STATE_WRITE_COLOR); + psl->dof_resolve_ps = DRW_pass_create("DoF Resolve", DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); + + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_prepare_sh, psl->dof_down_ps); + DRW_shgroup_uniform_texture_ref(grp, "sceneColorTex", dof_input); + DRW_shgroup_uniform_texture(grp, "sceneDepthTex", dtxl->depth); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_uniform_vec3(grp, "dofParams", &wpd->dof_aperturesize, 1); + DRW_shgroup_uniform_vec2(grp, "nearFar", wpd->dof_near_far, 1); + DRW_shgroup_call_add(grp, quad, NULL); + } + + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_downsample_sh, psl->dof_down2_ps); + DRW_shgroup_uniform_texture(grp, "sceneColorTex", txl->dof_source_tx); + DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); + DRW_shgroup_call_add(grp, quad, NULL); + } #if 0 - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_flatten_h_sh, psl->dof_flatten_h_ps); - DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); - DRW_shgroup_call_add(grp, quad, NULL); - } - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_flatten_v_sh, psl->dof_flatten_v_ps); - DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_temp_tx); - DRW_shgroup_call_add(grp, quad, NULL); - } - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_dilate_v_sh, psl->dof_dilate_v_ps); - DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_tiles_tx[0]); - DRW_shgroup_call_add(grp, quad, NULL); - } - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_dilate_h_sh, psl->dof_dilate_h_ps); - DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_tiles_tx[1]); - DRW_shgroup_call_add(grp, quad, NULL); - } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_flatten_h_sh, psl->dof_flatten_h_ps); + DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); + DRW_shgroup_call_add(grp, quad, NULL); + } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_flatten_v_sh, psl->dof_flatten_v_ps); + DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_temp_tx); + DRW_shgroup_call_add(grp, quad, NULL); + } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_dilate_v_sh, psl->dof_dilate_v_ps); + DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_tiles_tx[0]); + DRW_shgroup_call_add(grp, quad, NULL); + } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_dilate_h_sh, psl->dof_dilate_h_ps); + DRW_shgroup_uniform_texture(grp, "inputCocTex", wpd->coc_tiles_tx[1]); + DRW_shgroup_call_add(grp, quad, NULL); + } #endif - { - float offset = stl->effects->jitter_index / (float)workbench_taa_calculate_num_iterations(vedata); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_blur1_sh, psl->dof_blur1_ps); - DRW_shgroup_uniform_block(grp, "dofSamplesBlock", wpd->dof_ubo); - DRW_shgroup_uniform_texture(grp, "noiseTex", noise_tex); - DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); - DRW_shgroup_uniform_texture(grp, "halfResColorTex", txl->dof_source_tx); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_uniform_float_copy(grp, "noiseOffset", offset); - DRW_shgroup_call_add(grp, quad, NULL); - } - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_blur2_sh, psl->dof_blur2_ps); - DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); - DRW_shgroup_uniform_texture(grp, "blurTex", wpd->dof_blur_tx); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_call_add(grp, quad, NULL); - } - { - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_resolve_sh, psl->dof_resolve_ps); - DRW_shgroup_uniform_texture(grp, "halfResColorTex", txl->dof_source_tx); - DRW_shgroup_uniform_texture(grp, "sceneDepthTex", dtxl->depth); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_uniform_vec3(grp, "dofParams", &wpd->dof_aperturesize, 1); - DRW_shgroup_uniform_vec2(grp, "nearFar", wpd->dof_near_far, 1); - DRW_shgroup_call_add(grp, quad, NULL); - } + { + float offset = stl->effects->jitter_index / + (float)workbench_taa_calculate_num_iterations(vedata); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_blur1_sh, psl->dof_blur1_ps); + DRW_shgroup_uniform_block(grp, "dofSamplesBlock", wpd->dof_ubo); + DRW_shgroup_uniform_texture(grp, "noiseTex", noise_tex); + DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); + DRW_shgroup_uniform_texture(grp, "halfResColorTex", txl->dof_source_tx); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_uniform_float_copy(grp, "noiseOffset", offset); + DRW_shgroup_call_add(grp, quad, NULL); + } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_blur2_sh, psl->dof_blur2_ps); + DRW_shgroup_uniform_texture(grp, "inputCocTex", txl->coc_halfres_tx); + DRW_shgroup_uniform_texture(grp, "blurTex", wpd->dof_blur_tx); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_call_add(grp, quad, NULL); + } + { + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_dof_resolve_sh, psl->dof_resolve_ps); + DRW_shgroup_uniform_texture(grp, "halfResColorTex", txl->dof_source_tx); + DRW_shgroup_uniform_texture(grp, "sceneDepthTex", dtxl->depth); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_uniform_vec3(grp, "dofParams", &wpd->dof_aperturesize, 1); + DRW_shgroup_uniform_vec2(grp, "nearFar", wpd->dof_near_far, 1); + DRW_shgroup_call_add(grp, quad, NULL); + } } void workbench_dof_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.effect_dof_prepare_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_downsample_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_flatten_v_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_flatten_h_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_dilate_v_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_dilate_h_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_blur1_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_blur2_sh); - DRW_SHADER_FREE_SAFE(e_data.effect_dof_resolve_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_prepare_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_downsample_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_flatten_v_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_flatten_h_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_dilate_v_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_dilate_h_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_blur1_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_blur2_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_dof_resolve_sh); } static void workbench_dof_downsample_level(void *userData, int UNUSED(level)) { - WORKBENCH_PassList *psl = (WORKBENCH_PassList *)userData; - DRW_draw_pass(psl->dof_down2_ps); + WORKBENCH_PassList *psl = (WORKBENCH_PassList *)userData; + DRW_draw_pass(psl->dof_down2_ps); } void workbench_dof_draw_pass(WORKBENCH_Data *vedata) { - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; - if (!wpd->dof_enabled) { - return; - } + if (!wpd->dof_enabled) { + return; + } - DRW_stats_group_start("Depth Of Field"); + DRW_stats_group_start("Depth Of Field"); - GPU_framebuffer_bind(fbl->dof_downsample_fb); - DRW_draw_pass(psl->dof_down_ps); + GPU_framebuffer_bind(fbl->dof_downsample_fb); + DRW_draw_pass(psl->dof_down_ps); - GPU_framebuffer_recursive_downsample(fbl->dof_downsample_fb, 2, workbench_dof_downsample_level, psl); + GPU_framebuffer_recursive_downsample( + fbl->dof_downsample_fb, 2, workbench_dof_downsample_level, psl); #if 0 - GPU_framebuffer_bind(fbl->dof_coc_tile_h_fb); - DRW_draw_pass(psl->dof_flatten_h_ps); + GPU_framebuffer_bind(fbl->dof_coc_tile_h_fb); + DRW_draw_pass(psl->dof_flatten_h_ps); - GPU_framebuffer_bind(fbl->dof_coc_tile_v_fb); - DRW_draw_pass(psl->dof_flatten_v_ps); + GPU_framebuffer_bind(fbl->dof_coc_tile_v_fb); + DRW_draw_pass(psl->dof_flatten_v_ps); - GPU_framebuffer_bind(fbl->dof_coc_dilate_fb); - DRW_draw_pass(psl->dof_dilate_v_ps); + GPU_framebuffer_bind(fbl->dof_coc_dilate_fb); + DRW_draw_pass(psl->dof_dilate_v_ps); - GPU_framebuffer_bind(fbl->dof_coc_tile_v_fb); - DRW_draw_pass(psl->dof_dilate_h_ps); + GPU_framebuffer_bind(fbl->dof_coc_tile_v_fb); + DRW_draw_pass(psl->dof_dilate_h_ps); #endif - GPU_framebuffer_bind(fbl->dof_blur1_fb); - DRW_draw_pass(psl->dof_blur1_ps); + GPU_framebuffer_bind(fbl->dof_blur1_fb); + DRW_draw_pass(psl->dof_blur1_ps); - GPU_framebuffer_bind(fbl->dof_blur2_fb); - DRW_draw_pass(psl->dof_blur2_ps); + GPU_framebuffer_bind(fbl->dof_blur2_fb); + DRW_draw_pass(psl->dof_blur2_ps); - GPU_framebuffer_bind(fbl->color_only_fb); - DRW_draw_pass(psl->dof_resolve_ps); + GPU_framebuffer_bind(fbl->color_only_fb); + DRW_draw_pass(psl->dof_resolve_ps); - DRW_stats_group_end(); + DRW_stats_group_end(); } diff --git a/source/blender/draw/engines/workbench/workbench_effect_fxaa.c b/source/blender/draw/engines/workbench/workbench_effect_fxaa.c index 6e2ebff854e..47355f324a8 100644 --- a/source/blender/draw/engines/workbench/workbench_effect_fxaa.c +++ b/source/blender/draw/engines/workbench/workbench_effect_fxaa.c @@ -23,7 +23,7 @@ /* *********** STATIC *********** */ static struct { - struct GPUShader *effect_fxaa_sh; + struct GPUShader *effect_fxaa_sh; } e_data = {NULL}; /* Shaders */ @@ -34,26 +34,26 @@ extern char datatoc_workbench_effect_fxaa_frag_glsl[]; /* *********** Functions *********** */ void workbench_fxaa_engine_init(void) { - if (e_data.effect_fxaa_sh == NULL) { - e_data.effect_fxaa_sh = DRW_shader_create_with_lib( - datatoc_common_fullscreen_vert_glsl, NULL, - datatoc_workbench_effect_fxaa_frag_glsl, - datatoc_common_fxaa_lib_glsl, - NULL); - } + if (e_data.effect_fxaa_sh == NULL) { + e_data.effect_fxaa_sh = DRW_shader_create_with_lib(datatoc_common_fullscreen_vert_glsl, + NULL, + datatoc_workbench_effect_fxaa_frag_glsl, + datatoc_common_fxaa_lib_glsl, + NULL); + } } DRWPass *workbench_fxaa_create_pass(GPUTexture **color_buffer_tx) { - DRWPass *pass = DRW_pass_create("Effect FXAA", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_fxaa_sh, pass); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", color_buffer_tx); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - return pass; + DRWPass *pass = DRW_pass_create("Effect FXAA", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_fxaa_sh, pass); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", color_buffer_tx); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + return pass; } void workbench_fxaa_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.effect_fxaa_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_fxaa_sh); } diff --git a/source/blender/draw/engines/workbench/workbench_effect_taa.c b/source/blender/draw/engines/workbench/workbench_effect_taa.c index cbc0e347d7d..0435a804fab 100644 --- a/source/blender/draw/engines/workbench/workbench_effect_taa.c +++ b/source/blender/draw/engines/workbench/workbench_effect_taa.c @@ -20,290 +20,288 @@ * \ingroup draw_engine */ - #include "workbench_private.h" #include "BLI_jitter_2d.h" static struct { - struct GPUShader *effect_taa_sh; - float jitter_5[5][2]; - float jitter_8[8][2]; - float jitter_11[11][2]; - float jitter_16[16][2]; - float jitter_32[32][2]; + struct GPUShader *effect_taa_sh; + float jitter_5[5][2]; + float jitter_8[8][2]; + float jitter_11[11][2]; + float jitter_16[16][2]; + float jitter_32[32][2]; } e_data = {NULL}; extern char datatoc_workbench_effect_taa_frag_glsl[]; - static void workbench_taa_jitter_init_order(float (*table)[2], int num) { - BLI_jitter_init(table, num); - - /* find closest element to center */ - int closest_index = 0; - float closest_squared_distance = 1.0f; - - for (int index = 0; index < num; index++) { - const float squared_dist = SQUARE(table[index][0]) + SQUARE(table[index][1]); - if (squared_dist < closest_squared_distance) { - closest_squared_distance = squared_dist; - closest_index = index; - } - } - - /* move jitter table so that closest sample is in center */ - for (int index = 0; index < num; index++) { - sub_v2_v2(table[index], table[closest_index]); - mul_v2_fl(table[index], 2.0f); - } - - /* swap center sample to the start of the table */ - if (closest_index != 0) { - swap_v2_v2(table[0], table[closest_index]); - } - - /* sort list based on furtest distance with previous */ - for (int i = 0; i < num - 2; i++) { - float f_squared_dist = 0.0; - int f_index = i; - for (int j = i + 1; j < num; j++) { - const float squared_dist = SQUARE(table[i][0] - table[j][0]) + SQUARE(table[i][1] - table[j][1]); - if (squared_dist > f_squared_dist) { - f_squared_dist = squared_dist; - f_index = j; - } - } - swap_v2_v2(table[i + 1], table[f_index]); - } + BLI_jitter_init(table, num); + + /* find closest element to center */ + int closest_index = 0; + float closest_squared_distance = 1.0f; + + for (int index = 0; index < num; index++) { + const float squared_dist = SQUARE(table[index][0]) + SQUARE(table[index][1]); + if (squared_dist < closest_squared_distance) { + closest_squared_distance = squared_dist; + closest_index = index; + } + } + + /* move jitter table so that closest sample is in center */ + for (int index = 0; index < num; index++) { + sub_v2_v2(table[index], table[closest_index]); + mul_v2_fl(table[index], 2.0f); + } + + /* swap center sample to the start of the table */ + if (closest_index != 0) { + swap_v2_v2(table[0], table[closest_index]); + } + + /* sort list based on furtest distance with previous */ + for (int i = 0; i < num - 2; i++) { + float f_squared_dist = 0.0; + int f_index = i; + for (int j = i + 1; j < num; j++) { + const float squared_dist = SQUARE(table[i][0] - table[j][0]) + + SQUARE(table[i][1] - table[j][1]); + if (squared_dist > f_squared_dist) { + f_squared_dist = squared_dist; + f_index = j; + } + } + swap_v2_v2(table[i + 1], table[f_index]); + } } - static void workbench_taa_jitter_init(void) { - workbench_taa_jitter_init_order(e_data.jitter_5, 5); - workbench_taa_jitter_init_order(e_data.jitter_8, 8); - workbench_taa_jitter_init_order(e_data.jitter_11, 11); - workbench_taa_jitter_init_order(e_data.jitter_16, 16); - workbench_taa_jitter_init_order(e_data.jitter_32, 32); + workbench_taa_jitter_init_order(e_data.jitter_5, 5); + workbench_taa_jitter_init_order(e_data.jitter_8, 8); + workbench_taa_jitter_init_order(e_data.jitter_11, 11); + workbench_taa_jitter_init_order(e_data.jitter_16, 16); + workbench_taa_jitter_init_order(e_data.jitter_32, 32); } int workbench_taa_calculate_num_iterations(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - int result = 1; - if (TAA_ENABLED(wpd)) { - if (DRW_state_is_image_render()) { - const Scene *scene = DRW_context_state_get()->scene; - result = (scene->r.mode & R_OSA) ? scene->r.osa : 1; - } - else if (IN_RANGE_INCL( - wpd->preferences->gpu_viewport_quality, - GPU_VIEWPORT_QUALITY_TAA8, GPU_VIEWPORT_QUALITY_TAA16)) - { - result = 8; - } - else if (IN_RANGE_INCL( - wpd->preferences->gpu_viewport_quality, - GPU_VIEWPORT_QUALITY_TAA16, GPU_VIEWPORT_QUALITY_TAA32)) - { - result = 16; - } - else { - result = 32; - } - } - return result; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + int result = 1; + if (TAA_ENABLED(wpd)) { + if (DRW_state_is_image_render()) { + const Scene *scene = DRW_context_state_get()->scene; + result = (scene->r.mode & R_OSA) ? scene->r.osa : 1; + } + else if (IN_RANGE_INCL(wpd->preferences->gpu_viewport_quality, + GPU_VIEWPORT_QUALITY_TAA8, + GPU_VIEWPORT_QUALITY_TAA16)) { + result = 8; + } + else if (IN_RANGE_INCL(wpd->preferences->gpu_viewport_quality, + GPU_VIEWPORT_QUALITY_TAA16, + GPU_VIEWPORT_QUALITY_TAA32)) { + result = 16; + } + else { + result = 32; + } + } + return result; } void workbench_taa_engine_init(WORKBENCH_Data *vedata) { - WORKBENCH_EffectInfo *effect_info = vedata->stl->effects; - const DRWContextState *draw_ctx = DRW_context_state_get(); - RegionView3D *rv3d = draw_ctx->rv3d; - - if (e_data.effect_taa_sh == NULL) { - e_data.effect_taa_sh = DRW_shader_create_fullscreen(datatoc_workbench_effect_taa_frag_glsl, NULL); - workbench_taa_jitter_init(); - } - - /* reset complete drawing when navigating. */ - if (effect_info->jitter_index != 0) { - if (rv3d && rv3d->rflag & RV3D_NAVIGATING) { - effect_info->jitter_index = 0; - } - } - - if (effect_info->view_updated) { - effect_info->jitter_index = 0; - effect_info->view_updated = false; - } - - { - float view[4][4]; - float win[4][4]; - DRW_viewport_matrix_get(view, DRW_MAT_VIEW); - DRW_viewport_matrix_get(win, DRW_MAT_WIN); - mul_m4_m4m4(effect_info->curr_mat, view, win); - if (!equals_m4m4(effect_info->curr_mat, effect_info->last_mat)) { - effect_info->jitter_index = 0; - } - } + WORKBENCH_EffectInfo *effect_info = vedata->stl->effects; + const DRWContextState *draw_ctx = DRW_context_state_get(); + RegionView3D *rv3d = draw_ctx->rv3d; + + if (e_data.effect_taa_sh == NULL) { + e_data.effect_taa_sh = DRW_shader_create_fullscreen(datatoc_workbench_effect_taa_frag_glsl, + NULL); + workbench_taa_jitter_init(); + } + + /* reset complete drawing when navigating. */ + if (effect_info->jitter_index != 0) { + if (rv3d && rv3d->rflag & RV3D_NAVIGATING) { + effect_info->jitter_index = 0; + } + } + + if (effect_info->view_updated) { + effect_info->jitter_index = 0; + effect_info->view_updated = false; + } + + { + float view[4][4]; + float win[4][4]; + DRW_viewport_matrix_get(view, DRW_MAT_VIEW); + DRW_viewport_matrix_get(win, DRW_MAT_WIN); + mul_m4_m4m4(effect_info->curr_mat, view, win); + if (!equals_m4m4(effect_info->curr_mat, effect_info->last_mat)) { + effect_info->jitter_index = 0; + } + } } void workbench_taa_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.effect_taa_sh); + DRW_SHADER_FREE_SAFE(e_data.effect_taa_sh); } - DRWPass *workbench_taa_create_pass(WORKBENCH_Data *vedata, GPUTexture **color_buffer_tx) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_TextureList *txl = vedata->txl; - WORKBENCH_EffectInfo *effect_info = stl->effects; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PrivateData *wpd = stl->g_data; - /* - * jitter_index is not updated yet. This will be done in during draw phase. - * so for now it is inversed. - */ - int previous_jitter_index = effect_info->jitter_index; - - { - const eGPUTextureFormat hist_buffer_format = DRW_state_is_image_render() ? GPU_RGBA16F : GPU_RGBA8; - DRW_texture_ensure_fullscreen_2d(&txl->history_buffer_tx, hist_buffer_format, 0); - DRW_texture_ensure_fullscreen_2d(&txl->depth_buffer_tx, GPU_DEPTH24_STENCIL8, 0); - } - - { - GPU_framebuffer_ensure_config(&fbl->effect_taa_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(txl->history_buffer_tx), - }); - GPU_framebuffer_ensure_config(&fbl->depth_buffer_fb, { - GPU_ATTACHMENT_TEXTURE(txl->depth_buffer_tx), - }); - } - - - DRWPass *pass = DRW_pass_create("Effect TAA", DRW_STATE_WRITE_COLOR); - DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_taa_sh, pass); - DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", color_buffer_tx); - DRW_shgroup_uniform_texture_ref(grp, "historyBuffer", &txl->history_buffer_tx); - DRW_shgroup_uniform_float(grp, "mixFactor", &effect_info->taa_mix_factor, 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - - /* - * Set the offset for the cavity shader so every iteration different - * samples will be selected - */ - wpd->ssao_params[3] = previous_jitter_index; - - return pass; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_TextureList *txl = vedata->txl; + WORKBENCH_EffectInfo *effect_info = stl->effects; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PrivateData *wpd = stl->g_data; + /* + * jitter_index is not updated yet. This will be done in during draw phase. + * so for now it is inversed. + */ + int previous_jitter_index = effect_info->jitter_index; + + { + const eGPUTextureFormat hist_buffer_format = DRW_state_is_image_render() ? GPU_RGBA16F : + GPU_RGBA8; + DRW_texture_ensure_fullscreen_2d(&txl->history_buffer_tx, hist_buffer_format, 0); + DRW_texture_ensure_fullscreen_2d(&txl->depth_buffer_tx, GPU_DEPTH24_STENCIL8, 0); + } + + { + GPU_framebuffer_ensure_config(&fbl->effect_taa_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(txl->history_buffer_tx), + }); + GPU_framebuffer_ensure_config(&fbl->depth_buffer_fb, + { + GPU_ATTACHMENT_TEXTURE(txl->depth_buffer_tx), + }); + } + + DRWPass *pass = DRW_pass_create("Effect TAA", DRW_STATE_WRITE_COLOR); + DRWShadingGroup *grp = DRW_shgroup_create(e_data.effect_taa_sh, pass); + DRW_shgroup_uniform_texture_ref(grp, "colorBuffer", color_buffer_tx); + DRW_shgroup_uniform_texture_ref(grp, "historyBuffer", &txl->history_buffer_tx); + DRW_shgroup_uniform_float(grp, "mixFactor", &effect_info->taa_mix_factor, 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + + /* + * Set the offset for the cavity shader so every iteration different + * samples will be selected + */ + wpd->ssao_params[3] = previous_jitter_index; + + return pass; } void workbench_taa_draw_scene_start(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_EffectInfo *effect_info = stl->effects; - const float *viewport_size = DRW_viewport_size_get(); - int num_samples = 8; - float (*samples)[2]; - float mix_factor; - - num_samples = workbench_taa_calculate_num_iterations(vedata); - switch (num_samples) { - default: - case 5: - samples = e_data.jitter_5; - break; - case 8: - samples = e_data.jitter_8; - break; - case 11: - samples = e_data.jitter_11; - break; - case 16: - samples = e_data.jitter_16; - break; - case 32: - samples = e_data.jitter_32; - break; - } - - mix_factor = 1.0f / (effect_info->jitter_index + 1); - - const int jitter_index = effect_info->jitter_index; - const float *transform_offset = samples[jitter_index]; - effect_info->jitter_index = (jitter_index + 1) % num_samples; - - /* construct new matrices from transform delta */ - float viewmat[4][4]; - float persmat[4][4]; - DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); - DRW_viewport_matrix_get(effect_info->override_winmat, DRW_MAT_WIN); - - window_translate_m4( - effect_info->override_winmat, persmat, - transform_offset[0] / viewport_size[0], - transform_offset[1] / viewport_size[1]); - - mul_m4_m4m4(effect_info->override_persmat, effect_info->override_winmat, viewmat); - invert_m4_m4(effect_info->override_persinv, effect_info->override_persmat); - invert_m4_m4(effect_info->override_wininv, effect_info->override_winmat); - - DRW_viewport_matrix_override_set(effect_info->override_persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(effect_info->override_persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(effect_info->override_winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(effect_info->override_wininv, DRW_MAT_WININV); - - /* weight the mix factor by the jitter index */ - effect_info->taa_mix_factor = mix_factor; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_EffectInfo *effect_info = stl->effects; + const float *viewport_size = DRW_viewport_size_get(); + int num_samples = 8; + float(*samples)[2]; + float mix_factor; + + num_samples = workbench_taa_calculate_num_iterations(vedata); + switch (num_samples) { + default: + case 5: + samples = e_data.jitter_5; + break; + case 8: + samples = e_data.jitter_8; + break; + case 11: + samples = e_data.jitter_11; + break; + case 16: + samples = e_data.jitter_16; + break; + case 32: + samples = e_data.jitter_32; + break; + } + + mix_factor = 1.0f / (effect_info->jitter_index + 1); + + const int jitter_index = effect_info->jitter_index; + const float *transform_offset = samples[jitter_index]; + effect_info->jitter_index = (jitter_index + 1) % num_samples; + + /* construct new matrices from transform delta */ + float viewmat[4][4]; + float persmat[4][4]; + DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_get(persmat, DRW_MAT_PERS); + DRW_viewport_matrix_get(effect_info->override_winmat, DRW_MAT_WIN); + + window_translate_m4(effect_info->override_winmat, + persmat, + transform_offset[0] / viewport_size[0], + transform_offset[1] / viewport_size[1]); + + mul_m4_m4m4(effect_info->override_persmat, effect_info->override_winmat, viewmat); + invert_m4_m4(effect_info->override_persinv, effect_info->override_persmat); + invert_m4_m4(effect_info->override_wininv, effect_info->override_winmat); + + DRW_viewport_matrix_override_set(effect_info->override_persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(effect_info->override_persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(effect_info->override_winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(effect_info->override_wininv, DRW_MAT_WININV); + + /* weight the mix factor by the jitter index */ + effect_info->taa_mix_factor = mix_factor; } void workbench_taa_draw_scene_end(WORKBENCH_Data *vedata) { - /* - * If first frame than the offset is 0.0 and its depth is the depth buffer to use - * for the rest of the draw engines. We store it in a persistent buffer. - * - * If it is not the first frame we copy the persistent buffer back to the - * default depth buffer - */ - const WORKBENCH_StorageList *stl = vedata->stl; - const WORKBENCH_FramebufferList *fbl = vedata->fbl; - const DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - WORKBENCH_EffectInfo *effect_info = stl->effects; - - if (effect_info->jitter_index == 1) { - GPU_framebuffer_blit(dfbl->depth_only_fb, 0, fbl->depth_buffer_fb, 0, GPU_DEPTH_BIT); - } - else { - GPU_framebuffer_blit(fbl->depth_buffer_fb, 0, dfbl->depth_only_fb, 0, GPU_DEPTH_BIT); - } - - GPU_framebuffer_blit(dfbl->color_only_fb, 0, fbl->effect_taa_fb, 0, GPU_COLOR_BIT); - - if (!DRW_state_is_image_render()) { - DRW_viewport_matrix_override_unset_all(); - } - - copy_m4_m4(effect_info->last_mat, effect_info->curr_mat); - if (effect_info->jitter_index != 0 && !DRW_state_is_image_render()) { - DRW_viewport_request_redraw(); - } + /* + * If first frame than the offset is 0.0 and its depth is the depth buffer to use + * for the rest of the draw engines. We store it in a persistent buffer. + * + * If it is not the first frame we copy the persistent buffer back to the + * default depth buffer + */ + const WORKBENCH_StorageList *stl = vedata->stl; + const WORKBENCH_FramebufferList *fbl = vedata->fbl; + const DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + WORKBENCH_EffectInfo *effect_info = stl->effects; + + if (effect_info->jitter_index == 1) { + GPU_framebuffer_blit(dfbl->depth_only_fb, 0, fbl->depth_buffer_fb, 0, GPU_DEPTH_BIT); + } + else { + GPU_framebuffer_blit(fbl->depth_buffer_fb, 0, dfbl->depth_only_fb, 0, GPU_DEPTH_BIT); + } + + GPU_framebuffer_blit(dfbl->color_only_fb, 0, fbl->effect_taa_fb, 0, GPU_COLOR_BIT); + + if (!DRW_state_is_image_render()) { + DRW_viewport_matrix_override_unset_all(); + } + + copy_m4_m4(effect_info->last_mat, effect_info->curr_mat); + if (effect_info->jitter_index != 0 && !DRW_state_is_image_render()) { + DRW_viewport_request_redraw(); + } } void workbench_taa_view_updated(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - if (stl) { - WORKBENCH_EffectInfo *effect_info = stl->effects; - if (effect_info) { - effect_info->view_updated = true; - } - } + WORKBENCH_StorageList *stl = vedata->stl; + if (stl) { + WORKBENCH_EffectInfo *effect_info = stl->effects; + if (effect_info) { + effect_info->view_updated = true; + } + } } diff --git a/source/blender/draw/engines/workbench/workbench_engine.c b/source/blender/draw/engines/workbench/workbench_engine.c index 8aa21e92082..62a192bbb25 100644 --- a/source/blender/draw/engines/workbench/workbench_engine.c +++ b/source/blender/draw/engines/workbench/workbench_engine.c @@ -32,13 +32,20 @@ /* Note: currently unused, we may want to register so we can see this when debugging the view. */ RenderEngineType DRW_engine_viewport_workbench_type = { - NULL, NULL, - WORKBENCH_ENGINE, N_("Workbench"), RE_INTERNAL, - NULL, &DRW_render_to_image, NULL, NULL, NULL, NULL, - &workbench_render_update_passes, - &draw_engine_workbench_solid, - {NULL, NULL, NULL}, + NULL, + NULL, + WORKBENCH_ENGINE, + N_("Workbench"), + RE_INTERNAL, + NULL, + &DRW_render_to_image, + NULL, + NULL, + NULL, + NULL, + &workbench_render_update_passes, + &draw_engine_workbench_solid, + {NULL, NULL, NULL}, }; - #undef WORKBENCH_ENGINE diff --git a/source/blender/draw/engines/workbench/workbench_forward.c b/source/blender/draw/engines/workbench/workbench_forward.c index f86a263406a..782e85597d7 100644 --- a/source/blender/draw/engines/workbench/workbench_forward.c +++ b/source/blender/draw/engines/workbench/workbench_forward.c @@ -43,28 +43,27 @@ #include "GPU_shader.h" #include "GPU_texture.h" - /* *********** STATIC *********** */ typedef struct WORKBENCH_FORWARD_Shaders { - struct GPUShader *transparent_accum_sh_cache[MAX_ACCUM_SHADERS]; - struct GPUShader *object_outline_sh; - struct GPUShader *object_outline_texture_sh; - struct GPUShader *object_outline_hair_sh; + struct GPUShader *transparent_accum_sh_cache[MAX_ACCUM_SHADERS]; + struct GPUShader *object_outline_sh; + struct GPUShader *object_outline_texture_sh; + struct GPUShader *object_outline_hair_sh; } WORKBENCH_FORWARD_Shaders; static struct { - WORKBENCH_FORWARD_Shaders sh_data[GPU_SHADER_CFG_LEN]; + WORKBENCH_FORWARD_Shaders sh_data[GPU_SHADER_CFG_LEN]; - struct GPUShader *composite_sh_cache[2]; - struct GPUShader *checker_depth_sh; + struct GPUShader *composite_sh_cache[2]; + struct GPUShader *checker_depth_sh; - struct GPUTexture *object_id_tx; /* ref only, not alloced */ - struct GPUTexture *transparent_accum_tx; /* ref only, not alloced */ - struct GPUTexture *transparent_revealage_tx; /* ref only, not alloced */ - struct GPUTexture *composite_buffer_tx; /* ref only, not alloced */ + struct GPUTexture *object_id_tx; /* ref only, not alloced */ + struct GPUTexture *transparent_accum_tx; /* ref only, not alloced */ + struct GPUTexture *transparent_revealage_tx; /* ref only, not alloced */ + struct GPUTexture *composite_buffer_tx; /* ref only, not alloced */ - int next_object_id; + int next_object_id; } e_data = {{{{NULL}}}}; /* Shaders */ @@ -85,370 +84,389 @@ extern char datatoc_workbench_world_light_lib_glsl[]; /* static functions */ static char *workbench_build_forward_vert(bool is_hair) { - DynStr *ds = BLI_dynstr_new(); - if (is_hair) { - BLI_dynstr_append(ds, datatoc_common_hair_lib_glsl); - } - BLI_dynstr_append(ds, datatoc_workbench_prepass_vert_glsl); - - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + DynStr *ds = BLI_dynstr_new(); + if (is_hair) { + BLI_dynstr_append(ds, datatoc_common_hair_lib_glsl); + } + BLI_dynstr_append(ds, datatoc_workbench_prepass_vert_glsl); + + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static char *workbench_build_forward_transparent_accum_frag(void) { - DynStr *ds = BLI_dynstr_new(); + DynStr *ds = BLI_dynstr_new(); - BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_world_light_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_forward_transparent_accum_frag_glsl); + BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_world_light_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_forward_transparent_accum_frag_glsl); - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static char *workbench_build_forward_composite_frag(void) { - DynStr *ds = BLI_dynstr_new(); - - BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_background_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_object_outline_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); - BLI_dynstr_append(ds, datatoc_workbench_forward_composite_frag_glsl); - - char *str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + DynStr *ds = BLI_dynstr_new(); + + BLI_dynstr_append(ds, datatoc_workbench_data_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_common_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_background_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_object_outline_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_curvature_lib_glsl); + BLI_dynstr_append(ds, datatoc_workbench_forward_composite_frag_glsl); + + char *str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } static void workbench_init_object_data(DrawData *dd) { - WORKBENCH_ObjectData *data = (WORKBENCH_ObjectData *)dd; - data->object_id = ((e_data.next_object_id++) & 0xff) + 1; + WORKBENCH_ObjectData *data = (WORKBENCH_ObjectData *)dd; + data->object_id = ((e_data.next_object_id++) & 0xff) + 1; } -WORKBENCH_MaterialData *workbench_forward_get_or_create_material_data( - WORKBENCH_Data *vedata, Object *ob, Material *mat, Image *ima, ImageUser *iuser, int color_type, int interp) +WORKBENCH_MaterialData *workbench_forward_get_or_create_material_data(WORKBENCH_Data *vedata, + Object *ob, + Material *mat, + Image *ima, + ImageUser *iuser, + int color_type, + int interp) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - WORKBENCH_MaterialData *material; - WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( - &ob->id, &draw_engine_workbench_solid, sizeof(WORKBENCH_ObjectData), &workbench_init_object_data, NULL); - WORKBENCH_MaterialData material_template; - DRWShadingGroup *grp; - - /* Solid */ - workbench_material_update_data(wpd, ob, mat, &material_template); - material_template.object_id = OBJECT_ID_PASS_ENABLED(wpd) ? engine_object_data->object_id : 1; - material_template.color_type = color_type; - material_template.ima = ima; - material_template.iuser = iuser; - material_template.interp = interp; - uint hash = workbench_material_get_hash(&material_template, false); - - material = BLI_ghash_lookup(wpd->material_transp_hash, POINTER_FROM_UINT(hash)); - if (material == NULL) { - material = MEM_mallocN(sizeof(WORKBENCH_MaterialData), __func__); - - /* transparent accum */ - grp = DRW_shgroup_create( - color_type == V3D_SHADING_TEXTURE_COLOR ? wpd->transparent_accum_texture_sh: wpd->transparent_accum_sh, - psl->transparent_accum_pass); - DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); - DRW_shgroup_uniform_float_copy(grp, "alpha", wpd->shading.xray_alpha); - DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); - workbench_material_copy(material, &material_template); - if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { - BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); - DRW_shgroup_uniform_texture(grp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture ); - } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || MATCAP_ENABLED(wpd)) { - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - } - if (SHADOW_ENABLED(wpd)) { - DRW_shgroup_uniform_float_copy(grp, "shadowMultiplier", wpd->shadow_multiplier); - DRW_shgroup_uniform_float_copy(grp, "shadowShift", wpd->shadow_shift); - DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); - } - - workbench_material_shgroup_uniform(wpd, grp, material, ob, false, false, interp); - material->shgrp = grp; - - /* Depth */ - if (workbench_material_determine_color_type(wpd, material->ima, ob) == V3D_SHADING_TEXTURE_COLOR) { - material->shgrp_object_outline = DRW_shgroup_create( - sh_data->object_outline_texture_sh, psl->object_outline_pass); - GPUTexture *tex = GPU_texture_from_blender(material->ima, material->iuser, GL_TEXTURE_2D, false); - DRW_shgroup_uniform_texture(material->shgrp_object_outline, "image", tex); - } - else { - material->shgrp_object_outline = DRW_shgroup_create( - sh_data->object_outline_sh, psl->object_outline_pass); - } - material->object_id = engine_object_data->object_id; - DRW_shgroup_uniform_int(material->shgrp_object_outline, "object_id", &material->object_id, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(material->shgrp_object_outline, draw_ctx->rv3d); - } - BLI_ghash_insert(wpd->material_transp_hash, POINTER_FROM_UINT(hash), material); - } - return material; + const DRWContextState *draw_ctx = DRW_context_state_get(); + WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_MaterialData *material; + WORKBENCH_ObjectData *engine_object_data = (WORKBENCH_ObjectData *)DRW_drawdata_ensure( + &ob->id, + &draw_engine_workbench_solid, + sizeof(WORKBENCH_ObjectData), + &workbench_init_object_data, + NULL); + WORKBENCH_MaterialData material_template; + DRWShadingGroup *grp; + + /* Solid */ + workbench_material_update_data(wpd, ob, mat, &material_template); + material_template.object_id = OBJECT_ID_PASS_ENABLED(wpd) ? engine_object_data->object_id : 1; + material_template.color_type = color_type; + material_template.ima = ima; + material_template.iuser = iuser; + material_template.interp = interp; + uint hash = workbench_material_get_hash(&material_template, false); + + material = BLI_ghash_lookup(wpd->material_transp_hash, POINTER_FROM_UINT(hash)); + if (material == NULL) { + material = MEM_mallocN(sizeof(WORKBENCH_MaterialData), __func__); + + /* transparent accum */ + grp = DRW_shgroup_create(color_type == V3D_SHADING_TEXTURE_COLOR ? + wpd->transparent_accum_texture_sh : + wpd->transparent_accum_sh, + psl->transparent_accum_pass); + DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); + DRW_shgroup_uniform_float_copy(grp, "alpha", wpd->shading.xray_alpha); + DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); + workbench_material_copy(material, &material_template); + if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { + BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); + DRW_shgroup_uniform_texture( + grp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture); + } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || MATCAP_ENABLED(wpd)) { + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + } + if (SHADOW_ENABLED(wpd)) { + DRW_shgroup_uniform_float_copy(grp, "shadowMultiplier", wpd->shadow_multiplier); + DRW_shgroup_uniform_float_copy(grp, "shadowShift", wpd->shadow_shift); + DRW_shgroup_uniform_float_copy(grp, "shadowFocus", wpd->shadow_focus); + } + + workbench_material_shgroup_uniform(wpd, grp, material, ob, false, false, interp); + material->shgrp = grp; + + /* Depth */ + if (workbench_material_determine_color_type(wpd, material->ima, ob) == + V3D_SHADING_TEXTURE_COLOR) { + material->shgrp_object_outline = DRW_shgroup_create(sh_data->object_outline_texture_sh, + psl->object_outline_pass); + GPUTexture *tex = GPU_texture_from_blender( + material->ima, material->iuser, GL_TEXTURE_2D, false); + DRW_shgroup_uniform_texture(material->shgrp_object_outline, "image", tex); + } + else { + material->shgrp_object_outline = DRW_shgroup_create(sh_data->object_outline_sh, + psl->object_outline_pass); + } + material->object_id = engine_object_data->object_id; + DRW_shgroup_uniform_int(material->shgrp_object_outline, "object_id", &material->object_id, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(material->shgrp_object_outline, draw_ctx->rv3d); + } + BLI_ghash_insert(wpd->material_transp_hash, POINTER_FROM_UINT(hash), material); + } + return material; } -static GPUShader *ensure_forward_accum_shaders( - WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair, eGPUShaderConfig sh_cfg) +static GPUShader *ensure_forward_accum_shaders(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair, + eGPUShaderConfig sh_cfg) { - WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_cfg]; - int index = workbench_material_get_accum_shader_index(wpd, use_textures, is_hair); - if (sh_data->transparent_accum_sh_cache[index] == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - char *defines = workbench_material_build_defines(wpd, use_textures, is_hair); - char *transparent_accum_vert = workbench_build_forward_vert(is_hair); - char *transparent_accum_frag = workbench_build_forward_transparent_accum_frag(); - sh_data->transparent_accum_sh_cache[index] = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, transparent_accum_vert, NULL}, - .frag = (const char *[]){transparent_accum_frag, NULL}, - .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, - }); - MEM_freeN(transparent_accum_vert); - MEM_freeN(transparent_accum_frag); - MEM_freeN(defines); - } - return sh_data->transparent_accum_sh_cache[index]; + WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_cfg]; + int index = workbench_material_get_accum_shader_index(wpd, use_textures, is_hair); + if (sh_data->transparent_accum_sh_cache[index] == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + char *defines = workbench_material_build_defines(wpd, use_textures, is_hair); + char *transparent_accum_vert = workbench_build_forward_vert(is_hair); + char *transparent_accum_frag = workbench_build_forward_transparent_accum_frag(); + sh_data->transparent_accum_sh_cache[index] = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, transparent_accum_vert, NULL}, + .frag = (const char *[]){transparent_accum_frag, NULL}, + .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, + }); + MEM_freeN(transparent_accum_vert); + MEM_freeN(transparent_accum_frag); + MEM_freeN(defines); + } + return sh_data->transparent_accum_sh_cache[index]; } static GPUShader *ensure_forward_composite_shaders(WORKBENCH_PrivateData *wpd) { - int index = OBJECT_OUTLINE_ENABLED(wpd) ? 1 : 0; - if (e_data.composite_sh_cache[index] == NULL) { - char *defines = workbench_material_build_defines(wpd, false, false); - char *composite_frag = workbench_build_forward_composite_frag(); - e_data.composite_sh_cache[index] = DRW_shader_create_fullscreen(composite_frag, defines); - MEM_freeN(composite_frag); - MEM_freeN(defines); - } - return e_data.composite_sh_cache[index]; + int index = OBJECT_OUTLINE_ENABLED(wpd) ? 1 : 0; + if (e_data.composite_sh_cache[index] == NULL) { + char *defines = workbench_material_build_defines(wpd, false, false); + char *composite_frag = workbench_build_forward_composite_frag(); + e_data.composite_sh_cache[index] = DRW_shader_create_fullscreen(composite_frag, defines); + MEM_freeN(composite_frag); + MEM_freeN(defines); + } + return e_data.composite_sh_cache[index]; } void workbench_forward_choose_shaders(WORKBENCH_PrivateData *wpd, eGPUShaderConfig sh_cfg) { - wpd->composite_sh = ensure_forward_composite_shaders(wpd); - wpd->transparent_accum_sh = ensure_forward_accum_shaders(wpd, false, false, sh_cfg); - wpd->transparent_accum_hair_sh = ensure_forward_accum_shaders(wpd, false, true, sh_cfg); - wpd->transparent_accum_texture_sh = ensure_forward_accum_shaders(wpd, true, false, sh_cfg); - wpd->transparent_accum_texture_hair_sh = ensure_forward_accum_shaders(wpd, true, true, sh_cfg); + wpd->composite_sh = ensure_forward_composite_shaders(wpd); + wpd->transparent_accum_sh = ensure_forward_accum_shaders(wpd, false, false, sh_cfg); + wpd->transparent_accum_hair_sh = ensure_forward_accum_shaders(wpd, false, true, sh_cfg); + wpd->transparent_accum_texture_sh = ensure_forward_accum_shaders(wpd, true, false, sh_cfg); + wpd->transparent_accum_texture_hair_sh = ensure_forward_accum_shaders(wpd, true, true, sh_cfg); } void workbench_forward_outline_shaders_ensure(WORKBENCH_PrivateData *wpd, eGPUShaderConfig sh_cfg) { - WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_cfg]; - - if (sh_data->object_outline_sh == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - char *defines = workbench_material_build_defines(wpd, false, false); - char *defines_texture = workbench_material_build_defines(wpd, true, false); - char *defines_hair = workbench_material_build_defines(wpd, false, true); - char *forward_vert = workbench_build_forward_vert(false); - char *forward_hair_vert = workbench_build_forward_vert(true); - - sh_data->object_outline_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, forward_vert, NULL}, - .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, - }); - sh_data->object_outline_texture_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, forward_vert, NULL}, - .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, defines_texture, NULL}, - }); - sh_data->object_outline_hair_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, forward_hair_vert, NULL}, - .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, defines_hair, NULL}, - }); - - MEM_freeN(forward_hair_vert); - MEM_freeN(forward_vert); - MEM_freeN(defines); - MEM_freeN(defines_texture); - MEM_freeN(defines_hair); - } + WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_cfg]; + + if (sh_data->object_outline_sh == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + char *defines = workbench_material_build_defines(wpd, false, false); + char *defines_texture = workbench_material_build_defines(wpd, true, false); + char *defines_hair = workbench_material_build_defines(wpd, false, true); + char *forward_vert = workbench_build_forward_vert(false); + char *forward_hair_vert = workbench_build_forward_vert(true); + + sh_data->object_outline_sh = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, forward_vert, NULL}, + .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, defines, NULL}, + }); + sh_data->object_outline_texture_sh = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, forward_vert, NULL}, + .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, defines_texture, NULL}, + }); + sh_data->object_outline_hair_sh = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, forward_hair_vert, NULL}, + .frag = (const char *[]){datatoc_workbench_forward_depth_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, defines_hair, NULL}, + }); + + MEM_freeN(forward_hair_vert); + MEM_freeN(forward_vert); + MEM_freeN(defines); + MEM_freeN(defines_texture); + MEM_freeN(defines_hair); + } } /* public functions */ void workbench_forward_engine_init(WORKBENCH_Data *vedata) { - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_StorageList *stl = vedata->stl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - DRWShadingGroup *grp; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - if (!stl->effects) { - stl->effects = MEM_callocN(sizeof(*stl->effects), __func__); - workbench_effect_info_init(stl->effects); - } - WORKBENCH_PrivateData *wpd = stl->g_data; - workbench_private_data_init(wpd); - float light_direction[3]; - workbench_private_data_get_light_direction(wpd, light_direction); - - if (!e_data.checker_depth_sh) { - e_data.checker_depth_sh = DRW_shader_create_fullscreen( - datatoc_workbench_checkerboard_depth_frag_glsl, NULL); - } - - workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); - - workbench_volume_engine_init(); - workbench_fxaa_engine_init(); - workbench_taa_engine_init(vedata); - - workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); - workbench_forward_choose_shaders(wpd, draw_ctx->sh_cfg); - - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - const eGPUTextureFormat comp_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : GPU_R11F_G11F_B10F; - - e_data.object_id_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_R32UI, &draw_engine_workbench_transparent); - e_data.transparent_accum_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_RGBA16F, &draw_engine_workbench_transparent); - e_data.transparent_revealage_tx = DRW_texture_pool_query_2d( - size[0], size[1], GPU_R16F, &draw_engine_workbench_transparent); - e_data.composite_buffer_tx = DRW_texture_pool_query_2d( - size[0], size[1], comp_tex_format, &draw_engine_workbench_transparent); - - GPU_framebuffer_ensure_config(&fbl->object_outline_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), - }); - GPU_framebuffer_ensure_config(&fbl->transparent_accum_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.transparent_accum_tx), - GPU_ATTACHMENT_TEXTURE(e_data.transparent_revealage_tx), - }); - GPU_framebuffer_ensure_config(&fbl->composite_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), - }); - GPU_framebuffer_ensure_config(&fbl->effect_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.transparent_accum_tx), - }); - - workbench_volume_cache_init(vedata); - const bool do_cull = CULL_BACKFACE_ENABLED(wpd); - const int cull_state = (do_cull) ? DRW_STATE_CULL_BACK : 0; - - /* Transparency Accum */ - { - int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_OIT | cull_state; - psl->transparent_accum_pass = DRW_pass_create("Transparent Accum", state); - } - /* Depth */ - { - int state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | cull_state; - psl->object_outline_pass = DRW_pass_create("Object Outline Pass", state); - } - /* Composite */ - { - int state = DRW_STATE_WRITE_COLOR; - psl->composite_pass = DRW_pass_create("Composite", state); - - grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); - if (OBJECT_ID_PASS_ENABLED(wpd)) { - DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); - } - DRW_shgroup_uniform_texture_ref(grp, "transparentAccum", &e_data.transparent_accum_tx); - DRW_shgroup_uniform_texture_ref(grp, "transparentRevealage", &e_data.transparent_revealage_tx); - DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); - DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - } - - /* TODO(campbell): displays but masks geometry, - * only use with wire or solid-without-xray for now. */ - if ((wpd->shading.type != OB_WIRE && !XRAY_FLAG_ENABLED(wpd)) && - (draw_ctx->rv3d && (draw_ctx->rv3d->rflag & RV3D_CLIPPING) && draw_ctx->rv3d->clipbb)) - { - psl->background_pass = DRW_pass_create( - "Background", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); - GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR_BACKGROUND); - grp = DRW_shgroup_create(shader, psl->background_pass); - wpd->world_clip_planes_batch = DRW_draw_background_clipping_batch_from_rv3d(draw_ctx->rv3d); - DRW_shgroup_call_add(grp, wpd->world_clip_planes_batch, NULL); - DRW_shgroup_uniform_vec4(grp, "color", &wpd->world_clip_planes_color[0], 1); - } - - { - workbench_aa_create_pass(vedata, &e_data.transparent_accum_tx); - } - - /* Checker Depth */ - { - static float noise_offset = 0.0f; - float blend_threshold = 0.0f; - - if (DRW_state_is_image_render()) { - /* TODO: Should be based on the number of samples used for render. */ - noise_offset = fmodf(noise_offset + 1.0f / 8.0f, 1.0f); - } - - if (XRAY_FLAG_ENABLED(wpd)) { - blend_threshold = 1.0f - XRAY_ALPHA(wpd) * 0.9f; - } - - if (wpd->shading.type == OB_WIRE) { - wpd->shading.xray_alpha = 0.0f; - wpd->shading.xray_alpha_wire = 0.0f; - } - - int state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS; - psl->checker_depth_pass = DRW_pass_create("Checker Depth", state); - grp = DRW_shgroup_create(e_data.checker_depth_sh, psl->checker_depth_pass); - DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); - DRW_shgroup_uniform_float_copy(grp, "threshold", blend_threshold); - DRW_shgroup_uniform_float_copy(grp, "offset", noise_offset); - } + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_StorageList *stl = vedata->stl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + DRWShadingGroup *grp; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + if (!stl->effects) { + stl->effects = MEM_callocN(sizeof(*stl->effects), __func__); + workbench_effect_info_init(stl->effects); + } + WORKBENCH_PrivateData *wpd = stl->g_data; + workbench_private_data_init(wpd); + float light_direction[3]; + workbench_private_data_get_light_direction(wpd, light_direction); + + if (!e_data.checker_depth_sh) { + e_data.checker_depth_sh = DRW_shader_create_fullscreen( + datatoc_workbench_checkerboard_depth_frag_glsl, NULL); + } + + workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); + + workbench_volume_engine_init(); + workbench_fxaa_engine_init(); + workbench_taa_engine_init(vedata); + + workbench_forward_outline_shaders_ensure(wpd, draw_ctx->sh_cfg); + workbench_forward_choose_shaders(wpd, draw_ctx->sh_cfg); + + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + const eGPUTextureFormat comp_tex_format = DRW_state_is_image_render() ? GPU_RGBA16F : + GPU_R11F_G11F_B10F; + + e_data.object_id_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R32UI, &draw_engine_workbench_transparent); + e_data.transparent_accum_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA16F, &draw_engine_workbench_transparent); + e_data.transparent_revealage_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R16F, &draw_engine_workbench_transparent); + e_data.composite_buffer_tx = DRW_texture_pool_query_2d( + size[0], size[1], comp_tex_format, &draw_engine_workbench_transparent); + + GPU_framebuffer_ensure_config(&fbl->object_outline_fb, + { + GPU_ATTACHMENT_TEXTURE(dtxl->depth), + GPU_ATTACHMENT_TEXTURE(e_data.object_id_tx), + }); + GPU_framebuffer_ensure_config(&fbl->transparent_accum_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.transparent_accum_tx), + GPU_ATTACHMENT_TEXTURE(e_data.transparent_revealage_tx), + }); + GPU_framebuffer_ensure_config(&fbl->composite_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.composite_buffer_tx), + }); + GPU_framebuffer_ensure_config(&fbl->effect_fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(e_data.transparent_accum_tx), + }); + + workbench_volume_cache_init(vedata); + const bool do_cull = CULL_BACKFACE_ENABLED(wpd); + const int cull_state = (do_cull) ? DRW_STATE_CULL_BACK : 0; + + /* Transparency Accum */ + { + int state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_OIT | cull_state; + psl->transparent_accum_pass = DRW_pass_create("Transparent Accum", state); + } + /* Depth */ + { + int state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | cull_state; + psl->object_outline_pass = DRW_pass_create("Object Outline Pass", state); + } + /* Composite */ + { + int state = DRW_STATE_WRITE_COLOR; + psl->composite_pass = DRW_pass_create("Composite", state); + + grp = DRW_shgroup_create(wpd->composite_sh, psl->composite_pass); + if (OBJECT_ID_PASS_ENABLED(wpd)) { + DRW_shgroup_uniform_texture_ref(grp, "objectId", &e_data.object_id_tx); + } + DRW_shgroup_uniform_texture_ref(grp, "transparentAccum", &e_data.transparent_accum_tx); + DRW_shgroup_uniform_texture_ref(grp, "transparentRevealage", &e_data.transparent_revealage_tx); + DRW_shgroup_uniform_block(grp, "world_block", wpd->world_ubo); + DRW_shgroup_uniform_vec2(grp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + } + + /* TODO(campbell): displays but masks geometry, + * only use with wire or solid-without-xray for now. */ + if ((wpd->shading.type != OB_WIRE && !XRAY_FLAG_ENABLED(wpd)) && + (draw_ctx->rv3d && (draw_ctx->rv3d->rflag & RV3D_CLIPPING) && draw_ctx->rv3d->clipbb)) { + psl->background_pass = DRW_pass_create("Background", + DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL); + GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR_BACKGROUND); + grp = DRW_shgroup_create(shader, psl->background_pass); + wpd->world_clip_planes_batch = DRW_draw_background_clipping_batch_from_rv3d(draw_ctx->rv3d); + DRW_shgroup_call_add(grp, wpd->world_clip_planes_batch, NULL); + DRW_shgroup_uniform_vec4(grp, "color", &wpd->world_clip_planes_color[0], 1); + } + + { + workbench_aa_create_pass(vedata, &e_data.transparent_accum_tx); + } + + /* Checker Depth */ + { + static float noise_offset = 0.0f; + float blend_threshold = 0.0f; + + if (DRW_state_is_image_render()) { + /* TODO: Should be based on the number of samples used for render. */ + noise_offset = fmodf(noise_offset + 1.0f / 8.0f, 1.0f); + } + + if (XRAY_FLAG_ENABLED(wpd)) { + blend_threshold = 1.0f - XRAY_ALPHA(wpd) * 0.9f; + } + + if (wpd->shading.type == OB_WIRE) { + wpd->shading.xray_alpha = 0.0f; + wpd->shading.xray_alpha_wire = 0.0f; + } + + int state = DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS; + psl->checker_depth_pass = DRW_pass_create("Checker Depth", state); + grp = DRW_shgroup_create(e_data.checker_depth_sh, psl->checker_depth_pass); + DRW_shgroup_call_add(grp, DRW_cache_fullscreen_quad_get(), NULL); + DRW_shgroup_uniform_float_copy(grp, "threshold", blend_threshold); + DRW_shgroup_uniform_float_copy(grp, "offset", noise_offset); + } } void workbench_forward_engine_free() { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - for (int index = 0; index < MAX_ACCUM_SHADERS; index++) { - DRW_SHADER_FREE_SAFE(sh_data->transparent_accum_sh_cache[index]); - } - DRW_SHADER_FREE_SAFE(sh_data->object_outline_sh); - DRW_SHADER_FREE_SAFE(sh_data->object_outline_texture_sh); - DRW_SHADER_FREE_SAFE(sh_data->object_outline_hair_sh); - } - - for (int index = 0; index < 2; index++) { - DRW_SHADER_FREE_SAFE(e_data.composite_sh_cache[index]); - } - DRW_SHADER_FREE_SAFE(e_data.checker_depth_sh); - - workbench_volume_engine_free(); - workbench_fxaa_engine_free(); - workbench_taa_engine_free(); - workbench_dof_engine_free(); + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + for (int index = 0; index < MAX_ACCUM_SHADERS; index++) { + DRW_SHADER_FREE_SAFE(sh_data->transparent_accum_sh_cache[index]); + } + DRW_SHADER_FREE_SAFE(sh_data->object_outline_sh); + DRW_SHADER_FREE_SAFE(sh_data->object_outline_texture_sh); + DRW_SHADER_FREE_SAFE(sh_data->object_outline_hair_sh); + } + + for (int index = 0; index < 2; index++) { + DRW_SHADER_FREE_SAFE(e_data.composite_sh_cache[index]); + } + DRW_SHADER_FREE_SAFE(e_data.checker_depth_sh); + + workbench_volume_engine_free(); + workbench_fxaa_engine_free(); + workbench_taa_engine_free(); + workbench_dof_engine_free(); } void workbench_forward_cache_init(WORKBENCH_Data *UNUSED(vedata)) @@ -457,179 +475,180 @@ void workbench_forward_cache_init(WORKBENCH_Data *UNUSED(vedata)) static void workbench_forward_cache_populate_particles(WORKBENCH_Data *vedata, Object *ob) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_PrivateData *wpd = stl->g_data; - - for (ModifierData *md = ob->modifiers.first; md; md = md->next) { - if (md->type != eModifierType_ParticleSystem) { - continue; - } - ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; - if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { - continue; - } - ParticleSettings *part = psys->part; - const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; - - if (draw_as == PART_DRAW_PATH) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Material *mat; - Image *image; - ImageUser *iuser; - int interp; - workbench_material_get_image_and_mat(ob, part->omat, &image, &iuser, &interp, &mat); - int color_type = workbench_material_determine_color_type(wpd, image, ob); - WORKBENCH_MaterialData *material = workbench_forward_get_or_create_material_data(vedata, ob, mat, image, iuser, color_type, interp); - - struct GPUShader *shader = (color_type != V3D_SHADING_TEXTURE_COLOR) - ? wpd->transparent_accum_hair_sh - : wpd->transparent_accum_texture_hair_sh; - DRWShadingGroup *shgrp = DRW_shgroup_hair_create( - ob, psys, md, - psl->transparent_accum_pass, - shader); - DRW_shgroup_uniform_block(shgrp, "world_block", wpd->world_ubo); - workbench_material_shgroup_uniform(wpd, shgrp, material, ob, false, false, interp); - DRW_shgroup_uniform_vec4(shgrp, "viewvecs[0]", (float *)wpd->viewvecs, 3); - /* Hairs have lots of layer and can rapidly become the most prominent surface. - * So lower their alpha artificially. */ - float hair_alpha = XRAY_ALPHA(wpd) * 0.33f; - DRW_shgroup_uniform_float_copy(shgrp, "alpha", hair_alpha); - if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { - BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); - DRW_shgroup_uniform_texture(shgrp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture ); - } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || MATCAP_ENABLED(wpd)) { - DRW_shgroup_uniform_vec2(shgrp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); - } - - WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - shgrp = DRW_shgroup_hair_create( - ob, psys, md, - vedata->psl->object_outline_pass, - sh_data->object_outline_hair_sh); - DRW_shgroup_uniform_int(shgrp, "object_id", &material->object_id, 1); - } - } + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_PrivateData *wpd = stl->g_data; + + for (ModifierData *md = ob->modifiers.first; md; md = md->next) { + if (md->type != eModifierType_ParticleSystem) { + continue; + } + ParticleSystem *psys = ((ParticleSystemModifierData *)md)->psys; + if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { + continue; + } + ParticleSettings *part = psys->part; + const int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; + + if (draw_as == PART_DRAW_PATH) { + const DRWContextState *draw_ctx = DRW_context_state_get(); + Material *mat; + Image *image; + ImageUser *iuser; + int interp; + workbench_material_get_image_and_mat(ob, part->omat, &image, &iuser, &interp, &mat); + int color_type = workbench_material_determine_color_type(wpd, image, ob); + WORKBENCH_MaterialData *material = workbench_forward_get_or_create_material_data( + vedata, ob, mat, image, iuser, color_type, interp); + + struct GPUShader *shader = (color_type != V3D_SHADING_TEXTURE_COLOR) ? + wpd->transparent_accum_hair_sh : + wpd->transparent_accum_texture_hair_sh; + DRWShadingGroup *shgrp = DRW_shgroup_hair_create( + ob, psys, md, psl->transparent_accum_pass, shader); + DRW_shgroup_uniform_block(shgrp, "world_block", wpd->world_ubo); + workbench_material_shgroup_uniform(wpd, shgrp, material, ob, false, false, interp); + DRW_shgroup_uniform_vec4(shgrp, "viewvecs[0]", (float *)wpd->viewvecs, 3); + /* Hairs have lots of layer and can rapidly become the most prominent surface. + * So lower their alpha artificially. */ + float hair_alpha = XRAY_ALPHA(wpd) * 0.33f; + DRW_shgroup_uniform_float_copy(shgrp, "alpha", hair_alpha); + if (STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd)) { + BKE_studiolight_ensure_flag(wpd->studio_light, STUDIOLIGHT_EQUIRECT_RADIANCE_GPUTEXTURE); + DRW_shgroup_uniform_texture( + shgrp, "matcapImage", wpd->studio_light->equirect_radiance_gputexture); + } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd) || MATCAP_ENABLED(wpd)) { + DRW_shgroup_uniform_vec2(shgrp, "invertedViewportSize", DRW_viewport_invert_size_get(), 1); + } + + WORKBENCH_FORWARD_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + shgrp = DRW_shgroup_hair_create( + ob, psys, md, vedata->psl->object_outline_pass, sh_data->object_outline_hair_sh); + DRW_shgroup_uniform_int(shgrp, "object_id", &material->object_id, 1); + } + } } void workbench_forward_cache_populate(WORKBENCH_Data *vedata, Object *ob) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - const bool is_wire = (ob->dt == OB_WIRE); - - if (!DRW_object_is_renderable(ob)) { - return; - } - - if (ob->type == OB_MESH) { - workbench_forward_cache_populate_particles(vedata, ob); - } - - ModifierData *md; - if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && - (md = modifiers_findByType(ob, eModifierType_Smoke)) && - (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && - (((SmokeModifierData *)md)->domain != NULL)) - { - workbench_volume_cache_populate(vedata, scene, ob, md); - return; /* Do not draw solid in this case. */ - } - - if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { - return; - } - if (ob->dt < OB_WIRE) { - return; - } - - WORKBENCH_MaterialData *material; - if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - const bool is_active = (ob == draw_ctx->obact); - const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; - bool is_drawn = false; - - if (!is_sculpt_mode && TEXTURE_DRAWING_ENABLED(wpd) && ELEM(ob->type, OB_MESH)) { - const Mesh *me = ob->data; - if (me->mloopuv) { - const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); - struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); - for (int i = 0; i < materials_len; i++) { - Material *mat; - Image *image; - ImageUser *iuser; - int interp; - workbench_material_get_image_and_mat(ob, i + 1, &image, &iuser, &interp, &mat); - int color_type = workbench_material_determine_color_type(wpd, image, ob); - material = workbench_forward_get_or_create_material_data(vedata, ob, mat, image, iuser, color_type, interp); - DRW_shgroup_call_object_add(material->shgrp_object_outline, geom_array[i], ob); - DRW_shgroup_call_object_add(material->shgrp, geom_array[i], ob); - } - is_drawn = true; - } - } - - /* Fallback from not drawn OB_TEXTURE mode or just OB_SOLID mode */ - if (!is_drawn) { - if (ELEM(wpd->shading.color_type, - V3D_SHADING_SINGLE_COLOR, V3D_SHADING_OBJECT_COLOR, V3D_SHADING_RANDOM_COLOR)) - { - /* No material split needed */ - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - material = workbench_forward_get_or_create_material_data(vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); - if (is_sculpt_mode) { - DRW_shgroup_call_sculpt_add(material->shgrp_object_outline, ob, ob->obmat); - if (!is_wire) { - DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); - } - } - else { - DRW_shgroup_call_object_add(material->shgrp_object_outline, geom, ob); - if (!is_wire) { - DRW_shgroup_call_object_add(material->shgrp, geom, ob); - } - } - } - } - else { - const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); - struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); - for (int i = 0; i < materials_len; i++) { - gpumat_array[i] = NULL; - } - - struct GPUBatch **mat_geom = DRW_cache_object_surface_material_get( - ob, gpumat_array, materials_len, NULL, NULL, NULL); - if (mat_geom) { - for (int i = 0; i < materials_len; ++i) { - if (mat_geom[i] == NULL) { - continue; - } - - Material *mat = give_current_material(ob, i + 1); - material = workbench_forward_get_or_create_material_data(vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); - if (is_sculpt_mode) { - DRW_shgroup_call_sculpt_add(material->shgrp_object_outline, ob, ob->obmat); - if (!is_wire) { - DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); - } - } - else { - DRW_shgroup_call_object_add(material->shgrp_object_outline, mat_geom[i], ob); - if (!is_wire) { - DRW_shgroup_call_object_add(material->shgrp, mat_geom[i], ob); - } - } - } - } - } - } - } + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + const bool is_wire = (ob->dt == OB_WIRE); + + if (!DRW_object_is_renderable(ob)) { + return; + } + + if (ob->type == OB_MESH) { + workbench_forward_cache_populate_particles(vedata, ob); + } + + ModifierData *md; + if (((ob->base_flag & BASE_FROM_DUPLI) == 0) && + (md = modifiers_findByType(ob, eModifierType_Smoke)) && + (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && + (((SmokeModifierData *)md)->domain != NULL)) { + workbench_volume_cache_populate(vedata, scene, ob, md); + return; /* Do not draw solid in this case. */ + } + + if (!(DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF)) { + return; + } + if (ob->dt < OB_WIRE) { + return; + } + + WORKBENCH_MaterialData *material; + if (ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + const bool is_active = (ob == draw_ctx->obact); + const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; + bool is_drawn = false; + + if (!is_sculpt_mode && TEXTURE_DRAWING_ENABLED(wpd) && ELEM(ob->type, OB_MESH)) { + const Mesh *me = ob->data; + if (me->mloopuv) { + const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); + struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); + for (int i = 0; i < materials_len; i++) { + Material *mat; + Image *image; + ImageUser *iuser; + int interp; + workbench_material_get_image_and_mat(ob, i + 1, &image, &iuser, &interp, &mat); + int color_type = workbench_material_determine_color_type(wpd, image, ob); + material = workbench_forward_get_or_create_material_data( + vedata, ob, mat, image, iuser, color_type, interp); + DRW_shgroup_call_object_add(material->shgrp_object_outline, geom_array[i], ob); + DRW_shgroup_call_object_add(material->shgrp, geom_array[i], ob); + } + is_drawn = true; + } + } + + /* Fallback from not drawn OB_TEXTURE mode or just OB_SOLID mode */ + if (!is_drawn) { + if (ELEM(wpd->shading.color_type, + V3D_SHADING_SINGLE_COLOR, + V3D_SHADING_OBJECT_COLOR, + V3D_SHADING_RANDOM_COLOR)) { + /* No material split needed */ + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + material = workbench_forward_get_or_create_material_data( + vedata, ob, NULL, NULL, NULL, wpd->shading.color_type, 0); + if (is_sculpt_mode) { + DRW_shgroup_call_sculpt_add(material->shgrp_object_outline, ob, ob->obmat); + if (!is_wire) { + DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); + } + } + else { + DRW_shgroup_call_object_add(material->shgrp_object_outline, geom, ob); + if (!is_wire) { + DRW_shgroup_call_object_add(material->shgrp, geom, ob); + } + } + } + } + else { + const int materials_len = MAX2(1, (is_sculpt_mode ? 1 : ob->totcol)); + struct GPUMaterial **gpumat_array = BLI_array_alloca(gpumat_array, materials_len); + for (int i = 0; i < materials_len; i++) { + gpumat_array[i] = NULL; + } + + struct GPUBatch **mat_geom = DRW_cache_object_surface_material_get( + ob, gpumat_array, materials_len, NULL, NULL, NULL); + if (mat_geom) { + for (int i = 0; i < materials_len; ++i) { + if (mat_geom[i] == NULL) { + continue; + } + + Material *mat = give_current_material(ob, i + 1); + material = workbench_forward_get_or_create_material_data( + vedata, ob, mat, NULL, NULL, V3D_SHADING_MATERIAL_COLOR, 0); + if (is_sculpt_mode) { + DRW_shgroup_call_sculpt_add(material->shgrp_object_outline, ob, ob->obmat); + if (!is_wire) { + DRW_shgroup_call_sculpt_add(material->shgrp, ob, ob->obmat); + } + } + else { + DRW_shgroup_call_object_add(material->shgrp_object_outline, mat_geom[i], ob); + if (!is_wire) { + DRW_shgroup_call_object_add(material->shgrp, mat_geom[i], ob); + } + } + } + } + } + } + } } void workbench_forward_cache_finish(WORKBENCH_Data *UNUSED(vedata)) @@ -638,69 +657,69 @@ void workbench_forward_cache_finish(WORKBENCH_Data *UNUSED(vedata)) void workbench_forward_draw_background(WORKBENCH_Data *UNUSED(vedata)) { - const float clear_depth = 1.0f; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DRW_stats_group_start("Clear depth"); - GPU_framebuffer_bind(dfbl->default_fb); - GPU_framebuffer_clear_depth(dfbl->default_fb, clear_depth); - DRW_stats_group_end(); + const float clear_depth = 1.0f; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DRW_stats_group_start("Clear depth"); + GPU_framebuffer_bind(dfbl->default_fb); + GPU_framebuffer_clear_depth(dfbl->default_fb, clear_depth); + DRW_stats_group_end(); } void workbench_forward_draw_scene(WORKBENCH_Data *vedata) { - WORKBENCH_PassList *psl = vedata->psl; - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_FramebufferList *fbl = vedata->fbl; - WORKBENCH_PrivateData *wpd = stl->g_data; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - - if (TAA_ENABLED(wpd)) { - workbench_taa_draw_scene_start(vedata); - } - - /* Write Depth + Object ID */ - const float clear_outline[4] = {0.0f}; - GPU_framebuffer_bind(fbl->object_outline_fb); - GPU_framebuffer_clear_color(fbl->object_outline_fb, clear_outline); - DRW_draw_pass(psl->object_outline_pass); - - if (XRAY_ALPHA(wpd) > 0.0) { - const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - GPU_framebuffer_bind(fbl->transparent_accum_fb); - GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); - DRW_draw_pass(psl->transparent_accum_pass); - } - else { - /* TODO(fclem): this is unnecessary and takes up perf. - * Better change the composite frag shader to not use the tx. */ - const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - GPU_framebuffer_bind(fbl->transparent_accum_fb); - GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); - } - - /* Composite */ - GPU_framebuffer_bind(fbl->composite_fb); - DRW_draw_pass(psl->composite_pass); - DRW_draw_pass(psl->volume_pass); - - /* Only when clipping is enabled. */ - if (psl->background_pass) { - DRW_draw_pass(psl->background_pass); - } - - /* Color correct and Anti aliasing */ - workbench_aa_draw_pass(vedata, e_data.composite_buffer_tx); - - /* Apply checker pattern */ - GPU_framebuffer_bind(dfbl->depth_only_fb); - DRW_draw_pass(psl->checker_depth_pass); + WORKBENCH_PassList *psl = vedata->psl; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_FramebufferList *fbl = vedata->fbl; + WORKBENCH_PrivateData *wpd = stl->g_data; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + + if (TAA_ENABLED(wpd)) { + workbench_taa_draw_scene_start(vedata); + } + + /* Write Depth + Object ID */ + const float clear_outline[4] = {0.0f}; + GPU_framebuffer_bind(fbl->object_outline_fb); + GPU_framebuffer_clear_color(fbl->object_outline_fb, clear_outline); + DRW_draw_pass(psl->object_outline_pass); + + if (XRAY_ALPHA(wpd) > 0.0) { + const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + GPU_framebuffer_bind(fbl->transparent_accum_fb); + GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); + DRW_draw_pass(psl->transparent_accum_pass); + } + else { + /* TODO(fclem): this is unnecessary and takes up perf. + * Better change the composite frag shader to not use the tx. */ + const float clear_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + GPU_framebuffer_bind(fbl->transparent_accum_fb); + GPU_framebuffer_clear_color(fbl->transparent_accum_fb, clear_color); + } + + /* Composite */ + GPU_framebuffer_bind(fbl->composite_fb); + DRW_draw_pass(psl->composite_pass); + DRW_draw_pass(psl->volume_pass); + + /* Only when clipping is enabled. */ + if (psl->background_pass) { + DRW_draw_pass(psl->background_pass); + } + + /* Color correct and Anti aliasing */ + workbench_aa_draw_pass(vedata, e_data.composite_buffer_tx); + + /* Apply checker pattern */ + GPU_framebuffer_bind(dfbl->depth_only_fb); + DRW_draw_pass(psl->checker_depth_pass); } void workbench_forward_draw_finish(WORKBENCH_Data *vedata) { - WORKBENCH_StorageList *stl = vedata->stl; - WORKBENCH_PrivateData *wpd = stl->g_data; + WORKBENCH_StorageList *stl = vedata->stl; + WORKBENCH_PrivateData *wpd = stl->g_data; - workbench_private_data_free(wpd); - workbench_volume_smoke_textures_free(wpd); + workbench_private_data_free(wpd); + workbench_volume_smoke_textures_free(wpd); } diff --git a/source/blender/draw/engines/workbench/workbench_materials.c b/source/blender/draw/engines/workbench/workbench_materials.c index 2cec691a62f..d73eee37a98 100644 --- a/source/blender/draw/engines/workbench/workbench_materials.c +++ b/source/blender/draw/engines/workbench/workbench_materials.c @@ -37,260 +37,278 @@ #define HSV_SATURATION 0.5 #define HSV_VALUE 0.8 -void workbench_material_update_data(WORKBENCH_PrivateData *wpd, Object *ob, Material *mat, WORKBENCH_MaterialData *data) +void workbench_material_update_data(WORKBENCH_PrivateData *wpd, + Object *ob, + Material *mat, + WORKBENCH_MaterialData *data) { - /* When V3D_SHADING_TEXTURE_COLOR is active, use V3D_SHADING_MATERIAL_COLOR as fallback when no texture could be determined */ - int color_type = wpd->shading.color_type == V3D_SHADING_TEXTURE_COLOR ? V3D_SHADING_MATERIAL_COLOR : wpd->shading.color_type; - copy_v3_fl3(data->diffuse_color, 0.8f, 0.8f, 0.8f); - copy_v3_v3(data->base_color, data->diffuse_color); - copy_v3_fl3(data->specular_color, 0.05f, 0.05f, 0.05f); /* Dielectric: 5% reflective. */ - data->metallic = 0.0f; - data->roughness = 0.5f; /* sqrtf(0.25f); */ + /* When V3D_SHADING_TEXTURE_COLOR is active, use V3D_SHADING_MATERIAL_COLOR as fallback when no texture could be determined */ + int color_type = wpd->shading.color_type == V3D_SHADING_TEXTURE_COLOR ? + V3D_SHADING_MATERIAL_COLOR : + wpd->shading.color_type; + copy_v3_fl3(data->diffuse_color, 0.8f, 0.8f, 0.8f); + copy_v3_v3(data->base_color, data->diffuse_color); + copy_v3_fl3(data->specular_color, 0.05f, 0.05f, 0.05f); /* Dielectric: 5% reflective. */ + data->metallic = 0.0f; + data->roughness = 0.5f; /* sqrtf(0.25f); */ - if (color_type == V3D_SHADING_SINGLE_COLOR) { - copy_v3_v3(data->diffuse_color, wpd->shading.single_color); - copy_v3_v3(data->base_color, data->diffuse_color); - } - else if (color_type == V3D_SHADING_RANDOM_COLOR) { - uint hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); - if (ob->id.lib) { - hash = (hash * 13) ^ BLI_ghashutil_strhash_p_murmur(ob->id.lib->name); - } + if (color_type == V3D_SHADING_SINGLE_COLOR) { + copy_v3_v3(data->diffuse_color, wpd->shading.single_color); + copy_v3_v3(data->base_color, data->diffuse_color); + } + else if (color_type == V3D_SHADING_RANDOM_COLOR) { + uint hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); + if (ob->id.lib) { + hash = (hash * 13) ^ BLI_ghashutil_strhash_p_murmur(ob->id.lib->name); + } - float hue = BLI_hash_int_01(hash); - float hsv[3] = {hue, HSV_SATURATION, HSV_VALUE}; - hsv_to_rgb_v(hsv, data->diffuse_color); - copy_v3_v3(data->base_color, data->diffuse_color); - } - else if (color_type == V3D_SHADING_OBJECT_COLOR) { - copy_v3_v3(data->diffuse_color, ob->color); - copy_v3_v3(data->base_color, data->diffuse_color); - } - else { - /* V3D_SHADING_MATERIAL_COLOR */ - if (mat) { - if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { - copy_v3_v3(data->base_color, &mat->r); - mul_v3_v3fl(data->diffuse_color, &mat->r, 1.0f - mat->metallic); - mul_v3_v3fl(data->specular_color, &mat->r, mat->metallic); - add_v3_fl(data->specular_color, 0.05f * (1.0f - mat->metallic)); - data->metallic = mat->metallic; - data->roughness = sqrtf(mat->roughness); /* Remap to disney roughness. */ - } - else { - copy_v3_v3(data->base_color, &mat->r); - copy_v3_v3(data->diffuse_color, &mat->r); - } - } - } + float hue = BLI_hash_int_01(hash); + float hsv[3] = {hue, HSV_SATURATION, HSV_VALUE}; + hsv_to_rgb_v(hsv, data->diffuse_color); + copy_v3_v3(data->base_color, data->diffuse_color); + } + else if (color_type == V3D_SHADING_OBJECT_COLOR) { + copy_v3_v3(data->diffuse_color, ob->color); + copy_v3_v3(data->base_color, data->diffuse_color); + } + else { + /* V3D_SHADING_MATERIAL_COLOR */ + if (mat) { + if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { + copy_v3_v3(data->base_color, &mat->r); + mul_v3_v3fl(data->diffuse_color, &mat->r, 1.0f - mat->metallic); + mul_v3_v3fl(data->specular_color, &mat->r, mat->metallic); + add_v3_fl(data->specular_color, 0.05f * (1.0f - mat->metallic)); + data->metallic = mat->metallic; + data->roughness = sqrtf(mat->roughness); /* Remap to disney roughness. */ + } + else { + copy_v3_v3(data->base_color, &mat->r); + copy_v3_v3(data->diffuse_color, &mat->r); + } + } + } } char *workbench_material_build_defines(WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair) { - char *str = NULL; + char *str = NULL; - DynStr *ds = BLI_dynstr_new(); + DynStr *ds = BLI_dynstr_new(); - if (wpd->shading.flag & V3D_SHADING_OBJECT_OUTLINE) { - BLI_dynstr_append(ds, "#define V3D_SHADING_OBJECT_OUTLINE\n"); - } - if (wpd->shading.flag & V3D_SHADING_SHADOW) { - BLI_dynstr_append(ds, "#define V3D_SHADING_SHADOW\n"); - } - if (SSAO_ENABLED(wpd) || CURVATURE_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define WB_CAVITY\n"); - } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define V3D_SHADING_SPECULAR_HIGHLIGHT\n"); - } - if (STUDIOLIGHT_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define V3D_LIGHTING_STUDIO\n"); - } - if (FLAT_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define V3D_LIGHTING_FLAT\n"); - } - if (MATCAP_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define V3D_LIGHTING_MATCAP\n"); - } - if (OBJECT_ID_PASS_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define OBJECT_ID_PASS_ENABLED\n"); - } - if (MATDATA_PASS_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define MATDATA_PASS_ENABLED\n"); - } - if (NORMAL_VIEWPORT_PASS_ENABLED(wpd)) { - BLI_dynstr_append(ds, "#define NORMAL_VIEWPORT_PASS_ENABLED\n"); - } - if (use_textures) { - BLI_dynstr_append(ds, "#define V3D_SHADING_TEXTURE_COLOR\n"); - } - if (NORMAL_ENCODING_ENABLED()) { - BLI_dynstr_append(ds, "#define WORKBENCH_ENCODE_NORMALS\n"); - } - if (is_hair) { - BLI_dynstr_append(ds, "#define HAIR_SHADER\n"); - } + if (wpd->shading.flag & V3D_SHADING_OBJECT_OUTLINE) { + BLI_dynstr_append(ds, "#define V3D_SHADING_OBJECT_OUTLINE\n"); + } + if (wpd->shading.flag & V3D_SHADING_SHADOW) { + BLI_dynstr_append(ds, "#define V3D_SHADING_SHADOW\n"); + } + if (SSAO_ENABLED(wpd) || CURVATURE_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define WB_CAVITY\n"); + } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define V3D_SHADING_SPECULAR_HIGHLIGHT\n"); + } + if (STUDIOLIGHT_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define V3D_LIGHTING_STUDIO\n"); + } + if (FLAT_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define V3D_LIGHTING_FLAT\n"); + } + if (MATCAP_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define V3D_LIGHTING_MATCAP\n"); + } + if (OBJECT_ID_PASS_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define OBJECT_ID_PASS_ENABLED\n"); + } + if (MATDATA_PASS_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define MATDATA_PASS_ENABLED\n"); + } + if (NORMAL_VIEWPORT_PASS_ENABLED(wpd)) { + BLI_dynstr_append(ds, "#define NORMAL_VIEWPORT_PASS_ENABLED\n"); + } + if (use_textures) { + BLI_dynstr_append(ds, "#define V3D_SHADING_TEXTURE_COLOR\n"); + } + if (NORMAL_ENCODING_ENABLED()) { + BLI_dynstr_append(ds, "#define WORKBENCH_ENCODE_NORMALS\n"); + } + if (is_hair) { + BLI_dynstr_append(ds, "#define HAIR_SHADER\n"); + } - str = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - return str; + str = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + return str; } uint workbench_material_get_hash(WORKBENCH_MaterialData *material_template, bool is_ghost) { - uint input[4]; - uint result; - float *color = material_template->diffuse_color; - input[0] = (uint)(color[0] * 512); - input[1] = (uint)(color[1] * 512); - input[2] = (uint)(color[2] * 512); - input[3] = material_template->object_id; - result = BLI_ghashutil_uinthash_v4_murmur(input); + uint input[4]; + uint result; + float *color = material_template->diffuse_color; + input[0] = (uint)(color[0] * 512); + input[1] = (uint)(color[1] * 512); + input[2] = (uint)(color[2] * 512); + input[3] = material_template->object_id; + result = BLI_ghashutil_uinthash_v4_murmur(input); - color = material_template->specular_color; - input[0] = (uint)(color[0] * 512); - input[1] = (uint)(color[1] * 512); - input[2] = (uint)(color[2] * 512); - input[3] = (uint)(material_template->roughness * 512); - result += BLI_ghashutil_uinthash_v4_murmur(input); + color = material_template->specular_color; + input[0] = (uint)(color[0] * 512); + input[1] = (uint)(color[1] * 512); + input[2] = (uint)(color[2] * 512); + input[3] = (uint)(material_template->roughness * 512); + result += BLI_ghashutil_uinthash_v4_murmur(input); - result += BLI_ghashutil_uinthash((uint)is_ghost); + result += BLI_ghashutil_uinthash((uint)is_ghost); - /* add texture reference */ - if (material_template->ima) { - result += BLI_ghashutil_inthash_p_murmur(material_template->ima); - } + /* add texture reference */ + if (material_template->ima) { + result += BLI_ghashutil_inthash_p_murmur(material_template->ima); + } - return result; + return result; } int workbench_material_get_composite_shader_index(WORKBENCH_PrivateData *wpd) { - /* NOTE: change MAX_COMPOSITE_SHADERS accordingly when modifying this function. */ - int index = 0; - /* 2 bits FLAT/STUDIO/MATCAP + Specular highlight */ - index = SPECULAR_HIGHLIGHT_ENABLED(wpd) ? 3 : wpd->shading.light; - SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_SHADOW, 1 << 2); - SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_CAVITY, 1 << 3); - SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_OBJECT_OUTLINE, 1 << 4); - SET_FLAG_FROM_TEST(index, MATDATA_PASS_ENABLED(wpd), 1 << 5); - BLI_assert(index < MAX_COMPOSITE_SHADERS); - return index; + /* NOTE: change MAX_COMPOSITE_SHADERS accordingly when modifying this function. */ + int index = 0; + /* 2 bits FLAT/STUDIO/MATCAP + Specular highlight */ + index = SPECULAR_HIGHLIGHT_ENABLED(wpd) ? 3 : wpd->shading.light; + SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_SHADOW, 1 << 2); + SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_CAVITY, 1 << 3); + SET_FLAG_FROM_TEST(index, wpd->shading.flag & V3D_SHADING_OBJECT_OUTLINE, 1 << 4); + SET_FLAG_FROM_TEST(index, MATDATA_PASS_ENABLED(wpd), 1 << 5); + BLI_assert(index < MAX_COMPOSITE_SHADERS); + return index; } -int workbench_material_get_prepass_shader_index( - WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair) +int workbench_material_get_prepass_shader_index(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair) { - /* NOTE: change MAX_PREPASS_SHADERS accordingly when modifying this function. */ - int index = 0; - SET_FLAG_FROM_TEST(index, is_hair, 1 << 0); - SET_FLAG_FROM_TEST(index, MATDATA_PASS_ENABLED(wpd), 1 << 1); - SET_FLAG_FROM_TEST(index, OBJECT_ID_PASS_ENABLED(wpd), 1 << 2); - SET_FLAG_FROM_TEST(index, NORMAL_VIEWPORT_PASS_ENABLED(wpd), 1 << 3); - SET_FLAG_FROM_TEST(index, MATCAP_ENABLED(wpd), 1 << 4); - SET_FLAG_FROM_TEST(index, use_textures, 1 << 5); - BLI_assert(index < MAX_PREPASS_SHADERS); - return index; + /* NOTE: change MAX_PREPASS_SHADERS accordingly when modifying this function. */ + int index = 0; + SET_FLAG_FROM_TEST(index, is_hair, 1 << 0); + SET_FLAG_FROM_TEST(index, MATDATA_PASS_ENABLED(wpd), 1 << 1); + SET_FLAG_FROM_TEST(index, OBJECT_ID_PASS_ENABLED(wpd), 1 << 2); + SET_FLAG_FROM_TEST(index, NORMAL_VIEWPORT_PASS_ENABLED(wpd), 1 << 3); + SET_FLAG_FROM_TEST(index, MATCAP_ENABLED(wpd), 1 << 4); + SET_FLAG_FROM_TEST(index, use_textures, 1 << 5); + BLI_assert(index < MAX_PREPASS_SHADERS); + return index; } -int workbench_material_get_accum_shader_index(WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair) +int workbench_material_get_accum_shader_index(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair) { - /* NOTE: change MAX_ACCUM_SHADERS accordingly when modifying this function. */ - int index = 0; - /* 2 bits FLAT/STUDIO/MATCAP + Specular highlight */ - index = SPECULAR_HIGHLIGHT_ENABLED(wpd) ? 3 : wpd->shading.light; - SET_FLAG_FROM_TEST(index, use_textures, 1 << 2); - SET_FLAG_FROM_TEST(index, is_hair, 1 << 3); - /* 1 bits SHADOWS (only facing factor) */ - SET_FLAG_FROM_TEST(index, SHADOW_ENABLED(wpd), 1 << 4); - BLI_assert(index < MAX_ACCUM_SHADERS); - return index; + /* NOTE: change MAX_ACCUM_SHADERS accordingly when modifying this function. */ + int index = 0; + /* 2 bits FLAT/STUDIO/MATCAP + Specular highlight */ + index = SPECULAR_HIGHLIGHT_ENABLED(wpd) ? 3 : wpd->shading.light; + SET_FLAG_FROM_TEST(index, use_textures, 1 << 2); + SET_FLAG_FROM_TEST(index, is_hair, 1 << 3); + /* 1 bits SHADOWS (only facing factor) */ + SET_FLAG_FROM_TEST(index, SHADOW_ENABLED(wpd), 1 << 4); + BLI_assert(index < MAX_ACCUM_SHADERS); + return index; } int workbench_material_determine_color_type(WORKBENCH_PrivateData *wpd, Image *ima, Object *ob) { - int color_type = wpd->shading.color_type; - if ((color_type == V3D_SHADING_TEXTURE_COLOR && ima == NULL) || (ob->dt < OB_TEXTURE)) { - color_type = V3D_SHADING_MATERIAL_COLOR; - } - return color_type; + int color_type = wpd->shading.color_type; + if ((color_type == V3D_SHADING_TEXTURE_COLOR && ima == NULL) || (ob->dt < OB_TEXTURE)) { + color_type = V3D_SHADING_MATERIAL_COLOR; + } + return color_type; } -void workbench_material_get_image_and_mat(Object *ob, int mat_nr, Image **r_image, ImageUser **r_iuser, int *r_interp, Material **r_mat) +void workbench_material_get_image_and_mat( + Object *ob, int mat_nr, Image **r_image, ImageUser **r_iuser, int *r_interp, Material **r_mat) { - bNode *node; - *r_mat = give_current_material(ob, mat_nr); - ED_object_get_active_image(ob, mat_nr, r_image, r_iuser, &node, NULL); - if (node && *r_image) { - switch (node->type) { - case SH_NODE_TEX_IMAGE: - { - NodeTexImage *storage = node->storage; - *r_interp = storage->interpolation; - break; - } - case SH_NODE_TEX_ENVIRONMENT: - { - NodeTexEnvironment *storage = node->storage; - *r_interp = storage->interpolation; - break; - } - default: - BLI_assert(!"Node type not supported by workbench"); - *r_interp = 0; - } - } - else { - *r_interp = 0; - } + bNode *node; + *r_mat = give_current_material(ob, mat_nr); + ED_object_get_active_image(ob, mat_nr, r_image, r_iuser, &node, NULL); + if (node && *r_image) { + switch (node->type) { + case SH_NODE_TEX_IMAGE: { + NodeTexImage *storage = node->storage; + *r_interp = storage->interpolation; + break; + } + case SH_NODE_TEX_ENVIRONMENT: { + NodeTexEnvironment *storage = node->storage; + *r_interp = storage->interpolation; + break; + } + default: + BLI_assert(!"Node type not supported by workbench"); + *r_interp = 0; + } + } + else { + *r_interp = 0; + } } -void workbench_material_shgroup_uniform( - WORKBENCH_PrivateData *wpd, DRWShadingGroup *grp, WORKBENCH_MaterialData *material, Object *ob, - const bool use_metallic, const bool deferred, const int interp) +void workbench_material_shgroup_uniform(WORKBENCH_PrivateData *wpd, + DRWShadingGroup *grp, + WORKBENCH_MaterialData *material, + Object *ob, + const bool use_metallic, + const bool deferred, + const int interp) { - if (deferred && !MATDATA_PASS_ENABLED(wpd)) { - return; - } + if (deferred && !MATDATA_PASS_ENABLED(wpd)) { + return; + } - if (workbench_material_determine_color_type(wpd, material->ima, ob) == V3D_SHADING_TEXTURE_COLOR) { - ImBuf *ibuf = BKE_image_acquire_ibuf(material->ima, material->iuser, NULL); - const bool do_color_correction = wpd->use_color_management && - (ibuf && (ibuf->colormanage_flag & IMB_COLORMANAGE_IS_DATA) == 0); - BKE_image_release_ibuf(material->ima, ibuf, NULL); - GPUTexture *tex = GPU_texture_from_blender(material->ima, material->iuser, GL_TEXTURE_2D, false); - DRW_shgroup_uniform_texture(grp, "image", tex); - DRW_shgroup_uniform_bool_copy(grp, "imageSrgb", do_color_correction); - DRW_shgroup_uniform_bool_copy(grp, "imageNearest", (interp == SHD_INTERP_CLOSEST)); - } - else { - DRW_shgroup_uniform_vec3(grp, "materialDiffuseColor", (use_metallic) ? material->base_color : material->diffuse_color, 1); - } + if (workbench_material_determine_color_type(wpd, material->ima, ob) == + V3D_SHADING_TEXTURE_COLOR) { + ImBuf *ibuf = BKE_image_acquire_ibuf(material->ima, material->iuser, NULL); + const bool do_color_correction = wpd->use_color_management && + (ibuf && + (ibuf->colormanage_flag & IMB_COLORMANAGE_IS_DATA) == 0); + BKE_image_release_ibuf(material->ima, ibuf, NULL); + GPUTexture *tex = GPU_texture_from_blender( + material->ima, material->iuser, GL_TEXTURE_2D, false); + DRW_shgroup_uniform_texture(grp, "image", tex); + DRW_shgroup_uniform_bool_copy(grp, "imageSrgb", do_color_correction); + DRW_shgroup_uniform_bool_copy(grp, "imageNearest", (interp == SHD_INTERP_CLOSEST)); + } + else { + DRW_shgroup_uniform_vec3(grp, + "materialDiffuseColor", + (use_metallic) ? material->base_color : material->diffuse_color, + 1); + } - if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { - if (use_metallic) { - DRW_shgroup_uniform_float(grp, "materialMetallic", &material->metallic, 1); - } - else { - DRW_shgroup_uniform_vec3(grp, "materialSpecularColor", material->specular_color, 1); - } - DRW_shgroup_uniform_float(grp, "materialRoughness", &material->roughness, 1); - } + if (SPECULAR_HIGHLIGHT_ENABLED(wpd)) { + if (use_metallic) { + DRW_shgroup_uniform_float(grp, "materialMetallic", &material->metallic, 1); + } + else { + DRW_shgroup_uniform_vec3(grp, "materialSpecularColor", material->specular_color, 1); + } + DRW_shgroup_uniform_float(grp, "materialRoughness", &material->roughness, 1); + } - if (WORLD_CLIPPING_ENABLED(wpd)) { - DRW_shgroup_uniform_vec4(grp, "WorldClipPlanes", wpd->world_clip_planes[0], 6); - DRW_shgroup_state_enable(grp, DRW_STATE_CLIP_PLANES); - } + if (WORLD_CLIPPING_ENABLED(wpd)) { + DRW_shgroup_uniform_vec4(grp, "WorldClipPlanes", wpd->world_clip_planes[0], 6); + DRW_shgroup_state_enable(grp, DRW_STATE_CLIP_PLANES); + } } -void workbench_material_copy(WORKBENCH_MaterialData *dest_material, const WORKBENCH_MaterialData *source_material) +void workbench_material_copy(WORKBENCH_MaterialData *dest_material, + const WORKBENCH_MaterialData *source_material) { - dest_material->object_id = source_material->object_id; - copy_v3_v3(dest_material->base_color, source_material->base_color); - copy_v3_v3(dest_material->diffuse_color, source_material->diffuse_color); - copy_v3_v3(dest_material->specular_color, source_material->specular_color); - dest_material->metallic = source_material->metallic; - dest_material->roughness = source_material->roughness; - dest_material->ima = source_material->ima; - dest_material->iuser = source_material->iuser; + dest_material->object_id = source_material->object_id; + copy_v3_v3(dest_material->base_color, source_material->base_color); + copy_v3_v3(dest_material->diffuse_color, source_material->diffuse_color); + copy_v3_v3(dest_material->specular_color, source_material->specular_color); + dest_material->metallic = source_material->metallic; + dest_material->roughness = source_material->roughness; + dest_material->ima = source_material->ima; + dest_material->iuser = source_material->iuser; } diff --git a/source/blender/draw/engines/workbench/workbench_private.h b/source/blender/draw/engines/workbench/workbench_private.h index 75d72933c8e..0e2ef2f94d2 100644 --- a/source/blender/draw/engines/workbench/workbench_private.h +++ b/source/blender/draw/engines/workbench/workbench_private.h @@ -23,7 +23,6 @@ #ifndef __WORKBENCH_PRIVATE_H__ #define __WORKBENCH_PRIVATE_H__ - #include "BKE_studiolight.h" #include "DNA_image_types.h" @@ -47,258 +46,282 @@ #define STUDIOLIGHT_ENABLED(wpd) (wpd->shading.light == V3D_LIGHTING_STUDIO) #define MATCAP_ENABLED(wpd) (wpd->shading.light == V3D_LIGHTING_MATCAP) #define USE_WORLD_ORIENTATION(wpd) ((wpd->shading.flag & V3D_SHADING_WORLD_ORIENTATION) != 0) -#define STUDIOLIGHT_TYPE_WORLD_ENABLED(wpd) (STUDIOLIGHT_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_WORLD)) -#define STUDIOLIGHT_TYPE_STUDIO_ENABLED(wpd) (STUDIOLIGHT_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_STUDIO)) -#define STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd) (MATCAP_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_MATCAP)) -#define SSAO_ENABLED(wpd) ((wpd->shading.flag & V3D_SHADING_CAVITY) && ((wpd->shading.cavity_type == V3D_SHADING_CAVITY_SSAO) || (wpd->shading.cavity_type == V3D_SHADING_CAVITY_BOTH))) -#define CURVATURE_ENABLED(wpd) ((wpd->shading.flag & V3D_SHADING_CAVITY) && ((wpd->shading.cavity_type == V3D_SHADING_CAVITY_CURVATURE) || (wpd->shading.cavity_type == V3D_SHADING_CAVITY_BOTH))) +#define STUDIOLIGHT_TYPE_WORLD_ENABLED(wpd) \ + (STUDIOLIGHT_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_WORLD)) +#define STUDIOLIGHT_TYPE_STUDIO_ENABLED(wpd) \ + (STUDIOLIGHT_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_STUDIO)) +#define STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd) \ + (MATCAP_ENABLED(wpd) && (wpd->studio_light->flag & STUDIOLIGHT_TYPE_MATCAP)) +#define SSAO_ENABLED(wpd) \ + ((wpd->shading.flag & V3D_SHADING_CAVITY) && \ + ((wpd->shading.cavity_type == V3D_SHADING_CAVITY_SSAO) || \ + (wpd->shading.cavity_type == V3D_SHADING_CAVITY_BOTH))) +#define CURVATURE_ENABLED(wpd) \ + ((wpd->shading.flag & V3D_SHADING_CAVITY) && \ + ((wpd->shading.cavity_type == V3D_SHADING_CAVITY_CURVATURE) || \ + (wpd->shading.cavity_type == V3D_SHADING_CAVITY_BOTH))) #define CAVITY_ENABLED(wpd) (CURVATURE_ENABLED(wpd) || SSAO_ENABLED(wpd)) #define SHADOW_ENABLED(wpd) (wpd->shading.flag & V3D_SHADING_SHADOW) -#define GHOST_ENABLED(psl) (!DRW_pass_is_empty(psl->ghost_prepass_pass) || !DRW_pass_is_empty(psl->ghost_prepass_hair_pass)) +#define GHOST_ENABLED(psl) \ + (!DRW_pass_is_empty(psl->ghost_prepass_pass) || !DRW_pass_is_empty(psl->ghost_prepass_hair_pass)) #define CULL_BACKFACE_ENABLED(wpd) ((wpd->shading.flag & V3D_SHADING_BACKFACE_CULLING) != 0) -#define OIT_ENABLED(wpd) (ELEM(wpd->shading.color_type, V3D_SHADING_MATERIAL_COLOR, V3D_SHADING_OBJECT_COLOR, V3D_SHADING_TEXTURE_COLOR)) - -#define IS_NAVIGATING(wpd) ((DRW_context_state_get()->rv3d) && (DRW_context_state_get()->rv3d->rflag & RV3D_NAVIGATING)) -#define FXAA_ENABLED(wpd) ((!DRW_state_is_opengl_render()) && \ - (IN_RANGE(wpd->preferences->gpu_viewport_quality, GPU_VIEWPORT_QUALITY_FXAA, GPU_VIEWPORT_QUALITY_TAA8) || \ - ((IS_NAVIGATING(wpd) || wpd->is_playback) && (wpd->preferences->gpu_viewport_quality >= GPU_VIEWPORT_QUALITY_TAA8)))) -#define TAA_ENABLED(wpd) ((DRW_state_is_image_render() && DRW_context_state_get()->scene->r.mode & R_OSA) || \ - (!DRW_state_is_image_render() && wpd->preferences->gpu_viewport_quality >= GPU_VIEWPORT_QUALITY_TAA8 && !IS_NAVIGATING(wpd) && !wpd->is_playback)) -#define SPECULAR_HIGHLIGHT_ENABLED(wpd) (STUDIOLIGHT_ENABLED(wpd) && (wpd->shading.flag & V3D_SHADING_SPECULAR_HIGHLIGHT) && (!STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd))) +#define OIT_ENABLED(wpd) \ + (ELEM(wpd->shading.color_type, \ + V3D_SHADING_MATERIAL_COLOR, \ + V3D_SHADING_OBJECT_COLOR, \ + V3D_SHADING_TEXTURE_COLOR)) + +#define IS_NAVIGATING(wpd) \ + ((DRW_context_state_get()->rv3d) && (DRW_context_state_get()->rv3d->rflag & RV3D_NAVIGATING)) +#define FXAA_ENABLED(wpd) \ + ((!DRW_state_is_opengl_render()) && \ + (IN_RANGE(wpd->preferences->gpu_viewport_quality, \ + GPU_VIEWPORT_QUALITY_FXAA, \ + GPU_VIEWPORT_QUALITY_TAA8) || \ + ((IS_NAVIGATING(wpd) || wpd->is_playback) && \ + (wpd->preferences->gpu_viewport_quality >= GPU_VIEWPORT_QUALITY_TAA8)))) +#define TAA_ENABLED(wpd) \ + ((DRW_state_is_image_render() && DRW_context_state_get()->scene->r.mode & R_OSA) || \ + (!DRW_state_is_image_render() && \ + wpd->preferences->gpu_viewport_quality >= GPU_VIEWPORT_QUALITY_TAA8 && !IS_NAVIGATING(wpd) && \ + !wpd->is_playback)) +#define SPECULAR_HIGHLIGHT_ENABLED(wpd) \ + (STUDIOLIGHT_ENABLED(wpd) && (wpd->shading.flag & V3D_SHADING_SPECULAR_HIGHLIGHT) && \ + (!STUDIOLIGHT_TYPE_MATCAP_ENABLED(wpd))) #define OBJECT_OUTLINE_ENABLED(wpd) (wpd->shading.flag & V3D_SHADING_OBJECT_OUTLINE) #define OBJECT_ID_PASS_ENABLED(wpd) (OBJECT_OUTLINE_ENABLED(wpd) || CURVATURE_ENABLED(wpd)) -#define MATDATA_PASS_ENABLED(wpd) (wpd->shading.color_type != V3D_SHADING_SINGLE_COLOR || MATCAP_ENABLED(wpd)) -#define NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd) (MATCAP_ENABLED(wpd) || STUDIOLIGHT_ENABLED(wpd) || SHADOW_ENABLED(wpd)) -#define NORMAL_VIEWPORT_PASS_ENABLED(wpd) (NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd) || SSAO_ENABLED(wpd) || CURVATURE_ENABLED(wpd)) +#define MATDATA_PASS_ENABLED(wpd) \ + (wpd->shading.color_type != V3D_SHADING_SINGLE_COLOR || MATCAP_ENABLED(wpd)) +#define NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd) \ + (MATCAP_ENABLED(wpd) || STUDIOLIGHT_ENABLED(wpd) || SHADOW_ENABLED(wpd)) +#define NORMAL_VIEWPORT_PASS_ENABLED(wpd) \ + (NORMAL_VIEWPORT_COMP_PASS_ENABLED(wpd) || SSAO_ENABLED(wpd) || CURVATURE_ENABLED(wpd)) #define NORMAL_ENCODING_ENABLED() (true) #define WORLD_CLIPPING_ENABLED(wpd) (wpd->world_clip_planes != NULL) - struct RenderEngine; struct RenderLayer; struct rcti; - typedef struct WORKBENCH_FramebufferList { - /* Deferred render buffers */ - struct GPUFrameBuffer *prepass_fb; - struct GPUFrameBuffer *ghost_prepass_fb; - struct GPUFrameBuffer *cavity_fb; - struct GPUFrameBuffer *composite_fb; - struct GPUFrameBuffer *id_clear_fb; - - struct GPUFrameBuffer *effect_fb; - struct GPUFrameBuffer *effect_taa_fb; - struct GPUFrameBuffer *depth_buffer_fb; - struct GPUFrameBuffer *color_only_fb; - - struct GPUFrameBuffer *dof_downsample_fb; - struct GPUFrameBuffer *dof_coc_tile_h_fb; - struct GPUFrameBuffer *dof_coc_tile_v_fb; - struct GPUFrameBuffer *dof_coc_dilate_fb; - struct GPUFrameBuffer *dof_blur1_fb; - struct GPUFrameBuffer *dof_blur2_fb; - - /* Forward render buffers */ - struct GPUFrameBuffer *object_outline_fb; - struct GPUFrameBuffer *transparent_accum_fb; - struct GPUFrameBuffer *transparent_revealage_fb; + /* Deferred render buffers */ + struct GPUFrameBuffer *prepass_fb; + struct GPUFrameBuffer *ghost_prepass_fb; + struct GPUFrameBuffer *cavity_fb; + struct GPUFrameBuffer *composite_fb; + struct GPUFrameBuffer *id_clear_fb; + + struct GPUFrameBuffer *effect_fb; + struct GPUFrameBuffer *effect_taa_fb; + struct GPUFrameBuffer *depth_buffer_fb; + struct GPUFrameBuffer *color_only_fb; + + struct GPUFrameBuffer *dof_downsample_fb; + struct GPUFrameBuffer *dof_coc_tile_h_fb; + struct GPUFrameBuffer *dof_coc_tile_v_fb; + struct GPUFrameBuffer *dof_coc_dilate_fb; + struct GPUFrameBuffer *dof_blur1_fb; + struct GPUFrameBuffer *dof_blur2_fb; + + /* Forward render buffers */ + struct GPUFrameBuffer *object_outline_fb; + struct GPUFrameBuffer *transparent_accum_fb; + struct GPUFrameBuffer *transparent_revealage_fb; } WORKBENCH_FramebufferList; typedef struct WORKBENCH_TextureList { - struct GPUTexture *dof_source_tx; - struct GPUTexture *coc_halfres_tx; - struct GPUTexture *history_buffer_tx; - struct GPUTexture *depth_buffer_tx; + struct GPUTexture *dof_source_tx; + struct GPUTexture *coc_halfres_tx; + struct GPUTexture *history_buffer_tx; + struct GPUTexture *depth_buffer_tx; } WORKBENCH_TextureList; typedef struct WORKBENCH_StorageList { - struct WORKBENCH_PrivateData *g_data; - struct WORKBENCH_EffectInfo *effects; - float *dof_ubo_data; + struct WORKBENCH_PrivateData *g_data; + struct WORKBENCH_EffectInfo *effects; + float *dof_ubo_data; } WORKBENCH_StorageList; typedef struct WORKBENCH_PassList { - /* deferred rendering */ - struct DRWPass *prepass_pass; - struct DRWPass *prepass_hair_pass; - struct DRWPass *ghost_prepass_pass; - struct DRWPass *ghost_prepass_hair_pass; - struct DRWPass *cavity_pass; - struct DRWPass *shadow_depth_pass_pass; - struct DRWPass *shadow_depth_pass_mani_pass; - struct DRWPass *shadow_depth_fail_pass; - struct DRWPass *shadow_depth_fail_mani_pass; - struct DRWPass *shadow_depth_fail_caps_pass; - struct DRWPass *shadow_depth_fail_caps_mani_pass; - struct DRWPass *composite_pass; - struct DRWPass *composite_shadow_pass; - struct DRWPass *oit_composite_pass; - struct DRWPass *background_pass; - struct DRWPass *background_pass_clip; - struct DRWPass *ghost_resolve_pass; - struct DRWPass *effect_aa_pass; - struct DRWPass *dof_down_ps; - struct DRWPass *dof_down2_ps; - struct DRWPass *dof_flatten_v_ps; - struct DRWPass *dof_flatten_h_ps; - struct DRWPass *dof_dilate_h_ps; - struct DRWPass *dof_dilate_v_ps; - struct DRWPass *dof_blur1_ps; - struct DRWPass *dof_blur2_ps; - struct DRWPass *dof_resolve_ps; - struct DRWPass *volume_pass; - - /* forward rendering */ - struct DRWPass *transparent_accum_pass; - struct DRWPass *object_outline_pass; - struct DRWPass *depth_pass; - struct DRWPass *checker_depth_pass; + /* deferred rendering */ + struct DRWPass *prepass_pass; + struct DRWPass *prepass_hair_pass; + struct DRWPass *ghost_prepass_pass; + struct DRWPass *ghost_prepass_hair_pass; + struct DRWPass *cavity_pass; + struct DRWPass *shadow_depth_pass_pass; + struct DRWPass *shadow_depth_pass_mani_pass; + struct DRWPass *shadow_depth_fail_pass; + struct DRWPass *shadow_depth_fail_mani_pass; + struct DRWPass *shadow_depth_fail_caps_pass; + struct DRWPass *shadow_depth_fail_caps_mani_pass; + struct DRWPass *composite_pass; + struct DRWPass *composite_shadow_pass; + struct DRWPass *oit_composite_pass; + struct DRWPass *background_pass; + struct DRWPass *background_pass_clip; + struct DRWPass *ghost_resolve_pass; + struct DRWPass *effect_aa_pass; + struct DRWPass *dof_down_ps; + struct DRWPass *dof_down2_ps; + struct DRWPass *dof_flatten_v_ps; + struct DRWPass *dof_flatten_h_ps; + struct DRWPass *dof_dilate_h_ps; + struct DRWPass *dof_dilate_v_ps; + struct DRWPass *dof_blur1_ps; + struct DRWPass *dof_blur2_ps; + struct DRWPass *dof_resolve_ps; + struct DRWPass *volume_pass; + + /* forward rendering */ + struct DRWPass *transparent_accum_pass; + struct DRWPass *object_outline_pass; + struct DRWPass *depth_pass; + struct DRWPass *checker_depth_pass; } WORKBENCH_PassList; typedef struct WORKBENCH_Data { - void *engine_type; - WORKBENCH_FramebufferList *fbl; - WORKBENCH_TextureList *txl; - WORKBENCH_PassList *psl; - WORKBENCH_StorageList *stl; + void *engine_type; + WORKBENCH_FramebufferList *fbl; + WORKBENCH_TextureList *txl; + WORKBENCH_PassList *psl; + WORKBENCH_StorageList *stl; } WORKBENCH_Data; typedef struct WORKBENCH_UBO_Light { - float light_direction[4]; - float specular_color[3], pad; - float diffuse_color[3], wrapped; + float light_direction[4]; + float specular_color[3], pad; + float diffuse_color[3], wrapped; } WORKBENCH_UBO_Light; typedef struct WORKBENCH_UBO_World { - float background_color_low[4]; - float background_color_high[4]; - float object_outline_color[4]; - float shadow_direction_vs[4]; - WORKBENCH_UBO_Light lights[4]; - float ambient_color[4]; - int num_lights; - int matcap_orientation; - float background_alpha; - float curvature_ridge; - float curvature_valley; - int pad[3]; + float background_color_low[4]; + float background_color_high[4]; + float object_outline_color[4]; + float shadow_direction_vs[4]; + WORKBENCH_UBO_Light lights[4]; + float ambient_color[4]; + int num_lights; + int matcap_orientation; + float background_alpha; + float curvature_ridge; + float curvature_valley; + int pad[3]; } WORKBENCH_UBO_World; BLI_STATIC_ASSERT_ALIGN(WORKBENCH_UBO_World, 16) - typedef struct WORKBENCH_PrivateData { - struct GHash *material_hash; - struct GHash *material_transp_hash; - struct GPUShader *prepass_solid_sh; - struct GPUShader *prepass_solid_hair_sh; - struct GPUShader *prepass_texture_sh; - struct GPUShader *prepass_texture_hair_sh; - struct GPUShader *composite_sh; - struct GPUShader *background_sh; - struct GPUShader *transparent_accum_sh; - struct GPUShader *transparent_accum_hair_sh; - struct GPUShader *transparent_accum_texture_sh; - struct GPUShader *transparent_accum_texture_hair_sh; - View3DShading shading; - StudioLight *studio_light; - const UserDef *preferences; - struct GPUUniformBuffer *world_ubo; - struct DRWShadingGroup *shadow_shgrp; - struct DRWShadingGroup *depth_shgrp; - WORKBENCH_UBO_World world_data; - float shadow_multiplier; - float shadow_shift; - float shadow_focus; - float cached_shadow_direction[3]; - float shadow_mat[4][4]; - float shadow_inv[4][4]; - /* Far plane of the view frustum. */ - float shadow_far_plane[4]; - /* Near plane corners in shadow space. */ - float shadow_near_corners[4][3]; - /* min and max of shadow_near_corners. allow fast test */ - float shadow_near_min[3]; - float shadow_near_max[3]; - /* This is a parallelogram, so only 2 normal and distance to the edges. */ - float shadow_near_sides[2][4]; - bool shadow_changed; - bool is_playback; - - float (*world_clip_planes)[4]; - struct GPUBatch *world_clip_planes_batch; - float world_clip_planes_color[4]; - - /* Volumes */ - bool volumes_do; - ListBase smoke_domains; - - /* Ssao */ - float winmat[4][4]; - float viewvecs[3][4]; - float ssao_params[4]; - float ssao_settings[4]; - - /* Dof */ - struct GPUTexture *dof_blur_tx; - struct GPUTexture *coc_temp_tx; - struct GPUTexture *coc_tiles_tx[2]; - struct GPUUniformBuffer *dof_ubo; - float dof_aperturesize; - float dof_distance; - float dof_invsensorsize; - float dof_near_far[2]; - float dof_blades; - float dof_rotation; - float dof_ratio; - bool dof_enabled; - - /* Color Management */ - bool use_color_management; - bool use_color_render_settings; + struct GHash *material_hash; + struct GHash *material_transp_hash; + struct GPUShader *prepass_solid_sh; + struct GPUShader *prepass_solid_hair_sh; + struct GPUShader *prepass_texture_sh; + struct GPUShader *prepass_texture_hair_sh; + struct GPUShader *composite_sh; + struct GPUShader *background_sh; + struct GPUShader *transparent_accum_sh; + struct GPUShader *transparent_accum_hair_sh; + struct GPUShader *transparent_accum_texture_sh; + struct GPUShader *transparent_accum_texture_hair_sh; + View3DShading shading; + StudioLight *studio_light; + const UserDef *preferences; + struct GPUUniformBuffer *world_ubo; + struct DRWShadingGroup *shadow_shgrp; + struct DRWShadingGroup *depth_shgrp; + WORKBENCH_UBO_World world_data; + float shadow_multiplier; + float shadow_shift; + float shadow_focus; + float cached_shadow_direction[3]; + float shadow_mat[4][4]; + float shadow_inv[4][4]; + /* Far plane of the view frustum. */ + float shadow_far_plane[4]; + /* Near plane corners in shadow space. */ + float shadow_near_corners[4][3]; + /* min and max of shadow_near_corners. allow fast test */ + float shadow_near_min[3]; + float shadow_near_max[3]; + /* This is a parallelogram, so only 2 normal and distance to the edges. */ + float shadow_near_sides[2][4]; + bool shadow_changed; + bool is_playback; + + float (*world_clip_planes)[4]; + struct GPUBatch *world_clip_planes_batch; + float world_clip_planes_color[4]; + + /* Volumes */ + bool volumes_do; + ListBase smoke_domains; + + /* Ssao */ + float winmat[4][4]; + float viewvecs[3][4]; + float ssao_params[4]; + float ssao_settings[4]; + + /* Dof */ + struct GPUTexture *dof_blur_tx; + struct GPUTexture *coc_temp_tx; + struct GPUTexture *coc_tiles_tx[2]; + struct GPUUniformBuffer *dof_ubo; + float dof_aperturesize; + float dof_distance; + float dof_invsensorsize; + float dof_near_far[2]; + float dof_blades; + float dof_rotation; + float dof_ratio; + bool dof_enabled; + + /* Color Management */ + bool use_color_management; + bool use_color_render_settings; } WORKBENCH_PrivateData; /* Transient data */ typedef struct WORKBENCH_EffectInfo { - float override_persmat[4][4]; - float override_persinv[4][4]; - float override_winmat[4][4]; - float override_wininv[4][4]; - float last_mat[4][4]; - float curr_mat[4][4]; - int jitter_index; - float taa_mix_factor; - bool view_updated; + float override_persmat[4][4]; + float override_persinv[4][4]; + float override_winmat[4][4]; + float override_wininv[4][4]; + float last_mat[4][4]; + float curr_mat[4][4]; + int jitter_index; + float taa_mix_factor; + bool view_updated; } WORKBENCH_EffectInfo; typedef struct WORKBENCH_MaterialData { - float base_color[3]; - float diffuse_color[3]; - float specular_color[3]; - float metallic; - float roughness; - int object_id; - int color_type; - int interp; - Image *ima; - ImageUser *iuser; - - /* Linked shgroup for drawing */ - DRWShadingGroup *shgrp; - /* forward rendering */ - DRWShadingGroup *shgrp_object_outline; + float base_color[3]; + float diffuse_color[3]; + float specular_color[3]; + float metallic; + float roughness; + int object_id; + int color_type; + int interp; + Image *ima; + ImageUser *iuser; + + /* Linked shgroup for drawing */ + DRWShadingGroup *shgrp; + /* forward rendering */ + DRWShadingGroup *shgrp_object_outline; } WORKBENCH_MaterialData; typedef struct WORKBENCH_ObjectData { - DrawData dd; + DrawData dd; - /* Shadow direction in local object space. */ - float shadow_dir[3], shadow_depth; - /* Min, max in shadow space */ - float shadow_min[3], shadow_max[3]; - BoundBox shadow_bbox; - bool shadow_bbox_dirty; + /* Shadow direction in local object space. */ + float shadow_dir[3], shadow_depth; + /* Min, max in shadow space */ + float shadow_min[3], shadow_max[3]; + BoundBox shadow_bbox; + bool shadow_bbox_dirty; - int object_id; + int object_id; } WORKBENCH_ObjectData; /* workbench_deferred.c */ @@ -324,8 +347,13 @@ void workbench_forward_cache_finish(WORKBENCH_Data *vedata); /* For OIT in deferred */ void workbench_forward_outline_shaders_ensure(WORKBENCH_PrivateData *wpd, eGPUShaderConfig sh_cfg); void workbench_forward_choose_shaders(WORKBENCH_PrivateData *wpd, eGPUShaderConfig sh_cfg); -WORKBENCH_MaterialData *workbench_forward_get_or_create_material_data( - WORKBENCH_Data *vedata, Object *ob, Material *mat, Image *ima, ImageUser *iuser, int color_type, int interp); +WORKBENCH_MaterialData *workbench_forward_get_or_create_material_data(WORKBENCH_Data *vedata, + Object *ob, + Material *mat, + Image *ima, + ImageUser *iuser, + int color_type, + int interp); /* workbench_effect_aa.c */ void workbench_aa_create_pass(WORKBENCH_Data *vedata, GPUTexture **tx); @@ -348,45 +376,79 @@ int workbench_taa_calculate_num_iterations(WORKBENCH_Data *vedata); /* workbench_effect_dof.c */ void workbench_dof_engine_init(WORKBENCH_Data *vedata, Object *camera); void workbench_dof_engine_free(void); -void workbench_dof_create_pass(WORKBENCH_Data *vedata, GPUTexture **dof_input, GPUTexture *noise_tex); +void workbench_dof_create_pass(WORKBENCH_Data *vedata, + GPUTexture **dof_input, + GPUTexture *noise_tex); void workbench_dof_draw_pass(WORKBENCH_Data *vedata); /* workbench_materials.c */ int workbench_material_determine_color_type(WORKBENCH_PrivateData *wpd, Image *ima, Object *ob); -void workbench_material_get_image_and_mat(Object *ob, int mat_nr, Image **r_image, ImageUser **r_iuser, int *r_interp, Material **r_mat); -char *workbench_material_build_defines(WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair); -void workbench_material_update_data(WORKBENCH_PrivateData *wpd, Object *ob, Material *mat, WORKBENCH_MaterialData *data); +void workbench_material_get_image_and_mat( + Object *ob, int mat_nr, Image **r_image, ImageUser **r_iuser, int *r_interp, Material **r_mat); +char *workbench_material_build_defines(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair); +void workbench_material_update_data(WORKBENCH_PrivateData *wpd, + Object *ob, + Material *mat, + WORKBENCH_MaterialData *data); uint workbench_material_get_hash(WORKBENCH_MaterialData *material_template, bool is_ghost); int workbench_material_get_composite_shader_index(WORKBENCH_PrivateData *wpd); -int workbench_material_get_prepass_shader_index(WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair); -int workbench_material_get_accum_shader_index(WORKBENCH_PrivateData *wpd, bool use_textures, bool is_hair); -void workbench_material_shgroup_uniform( - WORKBENCH_PrivateData *wpd, DRWShadingGroup *grp, WORKBENCH_MaterialData *material, Object *ob, - const bool use_metallic, const bool deferred, const int interp); -void workbench_material_copy(WORKBENCH_MaterialData *dest_material, const WORKBENCH_MaterialData *source_material); +int workbench_material_get_prepass_shader_index(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair); +int workbench_material_get_accum_shader_index(WORKBENCH_PrivateData *wpd, + bool use_textures, + bool is_hair); +void workbench_material_shgroup_uniform(WORKBENCH_PrivateData *wpd, + DRWShadingGroup *grp, + WORKBENCH_MaterialData *material, + Object *ob, + const bool use_metallic, + const bool deferred, + const int interp); +void workbench_material_copy(WORKBENCH_MaterialData *dest_material, + const WORKBENCH_MaterialData *source_material); /* workbench_studiolight.c */ -void studiolight_update_world(WORKBENCH_PrivateData *wpd, StudioLight *sl, WORKBENCH_UBO_World *wd); +void studiolight_update_world(WORKBENCH_PrivateData *wpd, + StudioLight *sl, + WORKBENCH_UBO_World *wd); void studiolight_update_light(WORKBENCH_PrivateData *wpd, const float light_direction[3]); -bool studiolight_object_cast_visible_shadow(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed); -float studiolight_object_shadow_distance(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed); -bool studiolight_camera_in_object_shadow(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed); +bool studiolight_object_cast_visible_shadow(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed); +float studiolight_object_shadow_distance(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed); +bool studiolight_camera_in_object_shadow(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed); /* workbench_data.c */ void workbench_effect_info_init(WORKBENCH_EffectInfo *effect_info); void workbench_private_data_init(WORKBENCH_PrivateData *wpd); void workbench_private_data_free(WORKBENCH_PrivateData *wpd); -void workbench_private_data_get_light_direction(WORKBENCH_PrivateData *wpd, float r_light_direction[3]); +void workbench_private_data_get_light_direction(WORKBENCH_PrivateData *wpd, + float r_light_direction[3]); /* workbench_volume.c */ void workbench_volume_engine_init(void); void workbench_volume_engine_free(void); void workbench_volume_cache_init(WORKBENCH_Data *vedata); -void workbench_volume_cache_populate(WORKBENCH_Data *vedata, Scene *scene, Object *ob, struct ModifierData *md); +void workbench_volume_cache_populate(WORKBENCH_Data *vedata, + Scene *scene, + Object *ob, + struct ModifierData *md); void workbench_volume_smoke_textures_free(WORKBENCH_PrivateData *wpd); /* workbench_render.c */ -void workbench_render(WORKBENCH_Data *vedata, struct RenderEngine *engine, struct RenderLayer *render_layer, const struct rcti *rect); -void workbench_render_update_passes(struct RenderEngine *engine, struct Scene *scene, struct ViewLayer *view_layer); +void workbench_render(WORKBENCH_Data *vedata, + struct RenderEngine *engine, + struct RenderLayer *render_layer, + const struct rcti *rect); +void workbench_render_update_passes(struct RenderEngine *engine, + struct Scene *scene, + struct ViewLayer *view_layer); #endif diff --git a/source/blender/draw/engines/workbench/workbench_render.c b/source/blender/draw/engines/workbench/workbench_render.c index 663727285a1..1497ef493cf 100644 --- a/source/blender/draw/engines/workbench/workbench_render.c +++ b/source/blender/draw/engines/workbench/workbench_render.c @@ -39,177 +39,181 @@ #include "workbench_private.h" -static void workbench_render_deferred_cache( - void *vedata, struct Object *ob, - struct RenderEngine *UNUSED(engine), struct Depsgraph *UNUSED(depsgraph)) +static void workbench_render_deferred_cache(void *vedata, + struct Object *ob, + struct RenderEngine *UNUSED(engine), + struct Depsgraph *UNUSED(depsgraph)) { - workbench_deferred_solid_cache_populate(vedata, ob); + workbench_deferred_solid_cache_populate(vedata, ob); } -static void workbench_render_forward_cache( - void *vedata, struct Object *ob, - struct RenderEngine *UNUSED(engine), struct Depsgraph *UNUSED(depsgraph)) +static void workbench_render_forward_cache(void *vedata, + struct Object *ob, + struct RenderEngine *UNUSED(engine), + struct Depsgraph *UNUSED(depsgraph)) { - workbench_forward_cache_populate(vedata, ob); + workbench_forward_cache_populate(vedata, ob); } static void workbench_render_matrices_init(RenderEngine *engine, Depsgraph *depsgraph) { - /* TODO(sergey): Shall render hold pointer to an evaluated camera instead? */ - Scene *scene = DEG_get_evaluated_scene(depsgraph); - struct Object *ob_camera_eval = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); - float frame = BKE_scene_frame_get(scene); - - /* Set the persective, view and window matrix. */ - float winmat[4][4], wininv[4][4]; - float viewmat[4][4], viewinv[4][4]; - float persmat[4][4], persinv[4][4]; - - RE_GetCameraWindow(engine->re, ob_camera_eval, frame, winmat); - RE_GetCameraModelMatrix(engine->re, ob_camera_eval, viewinv); - - invert_m4_m4(viewmat, viewinv); - mul_m4_m4m4(persmat, winmat, viewmat); - invert_m4_m4(persinv, persmat); - invert_m4_m4(wininv, winmat); - - DRW_viewport_matrix_override_set(persmat, DRW_MAT_PERS); - DRW_viewport_matrix_override_set(persinv, DRW_MAT_PERSINV); - DRW_viewport_matrix_override_set(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_override_set(wininv, DRW_MAT_WININV); - DRW_viewport_matrix_override_set(viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_override_set(viewinv, DRW_MAT_VIEWINV); + /* TODO(sergey): Shall render hold pointer to an evaluated camera instead? */ + Scene *scene = DEG_get_evaluated_scene(depsgraph); + struct Object *ob_camera_eval = DEG_get_evaluated_object(depsgraph, RE_GetCamera(engine->re)); + float frame = BKE_scene_frame_get(scene); + + /* Set the persective, view and window matrix. */ + float winmat[4][4], wininv[4][4]; + float viewmat[4][4], viewinv[4][4]; + float persmat[4][4], persinv[4][4]; + + RE_GetCameraWindow(engine->re, ob_camera_eval, frame, winmat); + RE_GetCameraModelMatrix(engine->re, ob_camera_eval, viewinv); + + invert_m4_m4(viewmat, viewinv); + mul_m4_m4m4(persmat, winmat, viewmat); + invert_m4_m4(persinv, persmat); + invert_m4_m4(wininv, winmat); + + DRW_viewport_matrix_override_set(persmat, DRW_MAT_PERS); + DRW_viewport_matrix_override_set(persinv, DRW_MAT_PERSINV); + DRW_viewport_matrix_override_set(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_override_set(wininv, DRW_MAT_WININV); + DRW_viewport_matrix_override_set(viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_override_set(viewinv, DRW_MAT_VIEWINV); } static bool workbench_render_framebuffers_init(void) { - /* For image render, allocate own buffers because we don't have a viewport. */ - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + /* For image render, allocate own buffers because we don't have a viewport. */ + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - dtxl->color = GPU_texture_create_2d(size[0], size[1], GPU_RGBA16F, NULL, NULL); - dtxl->depth = GPU_texture_create_2d(size[0], size[1], GPU_DEPTH24_STENCIL8, NULL, NULL); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + dtxl->color = GPU_texture_create_2d(size[0], size[1], GPU_RGBA16F, NULL, NULL); + dtxl->depth = GPU_texture_create_2d(size[0], size[1], GPU_DEPTH24_STENCIL8, NULL, NULL); - if (!(dtxl->depth && dtxl->color)) { - return false; - } + if (!(dtxl->depth && dtxl->color)) { + return false; + } - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - GPU_framebuffer_ensure_config(&dfbl->default_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_TEXTURE(dtxl->color) - }); + GPU_framebuffer_ensure_config( + &dfbl->default_fb, + {GPU_ATTACHMENT_TEXTURE(dtxl->depth), GPU_ATTACHMENT_TEXTURE(dtxl->color)}); - GPU_framebuffer_ensure_config(&dfbl->depth_only_fb, { - GPU_ATTACHMENT_TEXTURE(dtxl->depth), - GPU_ATTACHMENT_NONE - }); + GPU_framebuffer_ensure_config(&dfbl->depth_only_fb, + {GPU_ATTACHMENT_TEXTURE(dtxl->depth), GPU_ATTACHMENT_NONE}); - GPU_framebuffer_ensure_config(&dfbl->color_only_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(dtxl->color) - }); + GPU_framebuffer_ensure_config(&dfbl->color_only_fb, + {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(dtxl->color)}); - bool ok = true; - ok = ok && GPU_framebuffer_check_valid(dfbl->default_fb, NULL); - ok = ok && GPU_framebuffer_check_valid(dfbl->color_only_fb, NULL); - ok = ok && GPU_framebuffer_check_valid(dfbl->depth_only_fb, NULL); + bool ok = true; + ok = ok && GPU_framebuffer_check_valid(dfbl->default_fb, NULL); + ok = ok && GPU_framebuffer_check_valid(dfbl->color_only_fb, NULL); + ok = ok && GPU_framebuffer_check_valid(dfbl->depth_only_fb, NULL); - return ok; + return ok; } static void workbench_render_framebuffers_finish(void) { } -void workbench_render(WORKBENCH_Data *data, RenderEngine *engine, RenderLayer *render_layer, const rcti *rect) +void workbench_render(WORKBENCH_Data *data, + RenderEngine *engine, + RenderLayer *render_layer, + const rcti *rect) { - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene = draw_ctx->scene; - Depsgraph *depsgraph = draw_ctx->depsgraph; - workbench_render_matrices_init(engine, depsgraph); - - if (!workbench_render_framebuffers_init()) { - RE_engine_report(engine, RPT_ERROR, "Failed to allocate OpenGL buffers"); - return; - } - - const bool deferred = !XRAY_FLAG_ENABLED(&scene->display); - - if (deferred) { - /* Init engine. */ - workbench_deferred_engine_init(data); - - /* Init objects. */ - workbench_deferred_cache_init(data); - DRW_render_object_iter(data, engine, depsgraph, workbench_render_deferred_cache); - workbench_deferred_cache_finish(data); - DRW_render_instance_buffer_finish(); - - /* Also we weed to have a correct fbo bound for DRW_hair_update */ - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_hair_update(); - - /* Draw. */ - int num_samples = workbench_taa_calculate_num_iterations(data); - for (int sample = 0; sample < num_samples; sample++) { - if (RE_engine_test_break(engine)) { - break; - } - /* TODO: Save matrices instead of recomputing them for each samples. */ - workbench_render_matrices_init(engine, depsgraph); - - workbench_deferred_draw_background(data); - workbench_deferred_draw_scene(data); - } - - workbench_deferred_draw_finish(data); - } - else { - /* Init engine. */ - workbench_forward_engine_init(data); - - /* Init objects. */ - workbench_forward_cache_init(data); - DRW_render_object_iter(data, engine, depsgraph, workbench_render_forward_cache); - workbench_forward_cache_finish(data); - DRW_render_instance_buffer_finish(); - - /* Also we weed to have a correct fbo bound for DRW_hair_update */ - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_hair_update(); - - /* Draw. */ - int num_samples = workbench_taa_calculate_num_iterations(data); - for (int sample = 0; sample < num_samples; sample++) { - if (RE_engine_test_break(engine)) { - break; - } - - workbench_forward_draw_background(data); - workbench_forward_draw_scene(data); - } - - workbench_forward_draw_finish(data); - } - - /* Write render output. */ - const char *viewname = RE_GetActiveRenderView(engine->re); - RenderPass *rp = RE_pass_find_by_name(render_layer, RE_PASSNAME_COMBINED, viewname); - - GPU_framebuffer_bind(dfbl->color_only_fb); - GPU_framebuffer_read_color(dfbl->color_only_fb, - rect->xmin, rect->ymin, - BLI_rcti_size_x(rect), BLI_rcti_size_y(rect), - 4, 0, rp->rect); - - workbench_render_framebuffers_finish(); + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene = draw_ctx->scene; + Depsgraph *depsgraph = draw_ctx->depsgraph; + workbench_render_matrices_init(engine, depsgraph); + + if (!workbench_render_framebuffers_init()) { + RE_engine_report(engine, RPT_ERROR, "Failed to allocate OpenGL buffers"); + return; + } + + const bool deferred = !XRAY_FLAG_ENABLED(&scene->display); + + if (deferred) { + /* Init engine. */ + workbench_deferred_engine_init(data); + + /* Init objects. */ + workbench_deferred_cache_init(data); + DRW_render_object_iter(data, engine, depsgraph, workbench_render_deferred_cache); + workbench_deferred_cache_finish(data); + DRW_render_instance_buffer_finish(); + + /* Also we weed to have a correct fbo bound for DRW_hair_update */ + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_hair_update(); + + /* Draw. */ + int num_samples = workbench_taa_calculate_num_iterations(data); + for (int sample = 0; sample < num_samples; sample++) { + if (RE_engine_test_break(engine)) { + break; + } + /* TODO: Save matrices instead of recomputing them for each samples. */ + workbench_render_matrices_init(engine, depsgraph); + + workbench_deferred_draw_background(data); + workbench_deferred_draw_scene(data); + } + + workbench_deferred_draw_finish(data); + } + else { + /* Init engine. */ + workbench_forward_engine_init(data); + + /* Init objects. */ + workbench_forward_cache_init(data); + DRW_render_object_iter(data, engine, depsgraph, workbench_render_forward_cache); + workbench_forward_cache_finish(data); + DRW_render_instance_buffer_finish(); + + /* Also we weed to have a correct fbo bound for DRW_hair_update */ + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_hair_update(); + + /* Draw. */ + int num_samples = workbench_taa_calculate_num_iterations(data); + for (int sample = 0; sample < num_samples; sample++) { + if (RE_engine_test_break(engine)) { + break; + } + + workbench_forward_draw_background(data); + workbench_forward_draw_scene(data); + } + + workbench_forward_draw_finish(data); + } + + /* Write render output. */ + const char *viewname = RE_GetActiveRenderView(engine->re); + RenderPass *rp = RE_pass_find_by_name(render_layer, RE_PASSNAME_COMBINED, viewname); + + GPU_framebuffer_bind(dfbl->color_only_fb); + GPU_framebuffer_read_color(dfbl->color_only_fb, + rect->xmin, + rect->ymin, + BLI_rcti_size_x(rect), + BLI_rcti_size_y(rect), + 4, + 0, + rp->rect); + + workbench_render_framebuffers_finish(); } void workbench_render_update_passes(RenderEngine *engine, Scene *scene, ViewLayer *view_layer) { - RE_engine_register_pass(engine, scene, view_layer, RE_PASSNAME_COMBINED, 4, "RGBA", SOCK_RGBA); + RE_engine_register_pass(engine, scene, view_layer, RE_PASSNAME_COMBINED, 4, "RGBA", SOCK_RGBA); } diff --git a/source/blender/draw/engines/workbench/workbench_studiolight.c b/source/blender/draw/engines/workbench/workbench_studiolight.c index f382ad31752..5c95a835adc 100644 --- a/source/blender/draw/engines/workbench/workbench_studiolight.c +++ b/source/blender/draw/engines/workbench/workbench_studiolight.c @@ -27,266 +27,286 @@ #include "BLI_math.h" -void studiolight_update_world(WORKBENCH_PrivateData *wpd, StudioLight *studiolight, WORKBENCH_UBO_World *wd) +void studiolight_update_world(WORKBENCH_PrivateData *wpd, + StudioLight *studiolight, + WORKBENCH_UBO_World *wd) { - float view_matrix[4][4], rot_matrix[4][4]; - DRW_viewport_matrix_get(view_matrix, DRW_MAT_VIEW); - - if (USE_WORLD_ORIENTATION(wpd)) { - axis_angle_to_mat4_single(rot_matrix, 'Z', -wpd->shading.studiolight_rot_z); - mul_m4_m4m4(rot_matrix, view_matrix, rot_matrix); - swap_v3_v3(rot_matrix[2], rot_matrix[1]); - negate_v3(rot_matrix[2]); - } - else { - unit_m4(rot_matrix); - } - - if (U.edit_studio_light) { - studiolight = BKE_studiolight_studio_edit_get(); - } - - /* Studio Lights. */ - for (int i = 0; i < 4; i++) { - WORKBENCH_UBO_Light *light = &wd->lights[i]; - - SolidLight *sl = &studiolight->light[i]; - if (sl->flag) { - copy_v3_v3(light->light_direction, sl->vec); - mul_mat3_m4_v3(rot_matrix, light->light_direction); - /* We should predivide the power by PI but that makes the lights really dim. */ - copy_v3_v3(light->specular_color, sl->spec); - copy_v3_v3(light->diffuse_color, sl->col); - light->wrapped = sl->smooth; - } - else { - copy_v3_fl3(light->light_direction, 1.0f, 0.0f, 0.0f); - copy_v3_fl(light->specular_color, 0.0f); - copy_v3_fl(light->diffuse_color, 0.0f); - } - } - - copy_v3_v3(wd->ambient_color, studiolight->light_ambient); + float view_matrix[4][4], rot_matrix[4][4]; + DRW_viewport_matrix_get(view_matrix, DRW_MAT_VIEW); + + if (USE_WORLD_ORIENTATION(wpd)) { + axis_angle_to_mat4_single(rot_matrix, 'Z', -wpd->shading.studiolight_rot_z); + mul_m4_m4m4(rot_matrix, view_matrix, rot_matrix); + swap_v3_v3(rot_matrix[2], rot_matrix[1]); + negate_v3(rot_matrix[2]); + } + else { + unit_m4(rot_matrix); + } + + if (U.edit_studio_light) { + studiolight = BKE_studiolight_studio_edit_get(); + } + + /* Studio Lights. */ + for (int i = 0; i < 4; i++) { + WORKBENCH_UBO_Light *light = &wd->lights[i]; + + SolidLight *sl = &studiolight->light[i]; + if (sl->flag) { + copy_v3_v3(light->light_direction, sl->vec); + mul_mat3_m4_v3(rot_matrix, light->light_direction); + /* We should predivide the power by PI but that makes the lights really dim. */ + copy_v3_v3(light->specular_color, sl->spec); + copy_v3_v3(light->diffuse_color, sl->col); + light->wrapped = sl->smooth; + } + else { + copy_v3_fl3(light->light_direction, 1.0f, 0.0f, 0.0f); + copy_v3_fl(light->specular_color, 0.0f); + copy_v3_fl(light->diffuse_color, 0.0f); + } + } + + copy_v3_v3(wd->ambient_color, studiolight->light_ambient); #if 0 - BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_SPHERICAL_HARMONICS_COEFFICIENTS_CALCULATED); - -#if STUDIOLIGHT_SH_BANDS == 2 - /* Use Geomerics non-linear SH. */ - mul_v3_v3fl(wd->spherical_harmonics_coefs[0], sl->spherical_harmonics_coefs[0], M_1_PI); - /* Swizzle to make shader code simpler. */ - for (int i = 0; i < 3; ++i) { - copy_v3_fl3( - wd->spherical_harmonics_coefs[i + 1], - -sl->spherical_harmonics_coefs[3][i], - sl->spherical_harmonics_coefs[2][i], - -sl->spherical_harmonics_coefs[1][i]); - mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], M_1_PI * 1.5f); /* 1.5f is to improve the contrast a bit. */ - } - - /* Precompute as much as we can. See shader code for derivation. */ - float len_r1[3], lr1_r0[3], p[3], a[3]; - for (int i = 0; i < 3; ++i) { - mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], 0.5f); - len_r1[i] = len_v3(wd->spherical_harmonics_coefs[i + 1]); - mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], 1.0f / len_r1[i]); - } - /* lr1_r0 = lenR1 / R0; */ - copy_v3_v3(lr1_r0, wd->spherical_harmonics_coefs[0]); - invert_v3(lr1_r0); - mul_v3_v3(lr1_r0, len_r1); - /* p = 1.0 + 2.0 * lr1_r0; */ - copy_v3_v3(p, lr1_r0); - mul_v3_fl(p, 2.0f); - add_v3_fl(p, 1.0f); - /* a = (1.0 - lr1_r0) / (1.0 + lr1_r0); */ - copy_v3_v3(a, lr1_r0); - add_v3_fl(a, 1.0f); - invert_v3(a); - negate_v3(lr1_r0); - add_v3_fl(lr1_r0, 1.0f); - mul_v3_v3(a, lr1_r0); - /* sh_coefs[4] = p; */ - copy_v3_v3(wd->spherical_harmonics_coefs[4], p); - /* sh_coefs[5] = R0 * a; */ - mul_v3_v3v3(wd->spherical_harmonics_coefs[5], wd->spherical_harmonics_coefs[0], a); - /* sh_coefs[0] = R0 * (1.0 - a) * (p + 1.0); */ - negate_v3(a); - add_v3_fl(a, 1.0f); - add_v3_fl(p, 1.0f); - mul_v3_v3(a, p); - mul_v3_v3(wd->spherical_harmonics_coefs[0], a); -#else - for (int i = 0; i < STUDIOLIGHT_SH_EFFECTIVE_COEFS_LEN; i++) { - /* Can't memcpy because of alignment */ - copy_v3_v3(wd->spherical_harmonics_coefs[i], sl->spherical_harmonics_coefs[i]); - } -#endif + BKE_studiolight_ensure_flag(sl, STUDIOLIGHT_SPHERICAL_HARMONICS_COEFFICIENTS_CALCULATED); + +# if STUDIOLIGHT_SH_BANDS == 2 + /* Use Geomerics non-linear SH. */ + mul_v3_v3fl(wd->spherical_harmonics_coefs[0], sl->spherical_harmonics_coefs[0], M_1_PI); + /* Swizzle to make shader code simpler. */ + for (int i = 0; i < 3; ++i) { + copy_v3_fl3( + wd->spherical_harmonics_coefs[i + 1], + -sl->spherical_harmonics_coefs[3][i], + sl->spherical_harmonics_coefs[2][i], + -sl->spherical_harmonics_coefs[1][i]); + mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], M_1_PI * 1.5f); /* 1.5f is to improve the contrast a bit. */ + } + + /* Precompute as much as we can. See shader code for derivation. */ + float len_r1[3], lr1_r0[3], p[3], a[3]; + for (int i = 0; i < 3; ++i) { + mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], 0.5f); + len_r1[i] = len_v3(wd->spherical_harmonics_coefs[i + 1]); + mul_v3_fl(wd->spherical_harmonics_coefs[i + 1], 1.0f / len_r1[i]); + } + /* lr1_r0 = lenR1 / R0; */ + copy_v3_v3(lr1_r0, wd->spherical_harmonics_coefs[0]); + invert_v3(lr1_r0); + mul_v3_v3(lr1_r0, len_r1); + /* p = 1.0 + 2.0 * lr1_r0; */ + copy_v3_v3(p, lr1_r0); + mul_v3_fl(p, 2.0f); + add_v3_fl(p, 1.0f); + /* a = (1.0 - lr1_r0) / (1.0 + lr1_r0); */ + copy_v3_v3(a, lr1_r0); + add_v3_fl(a, 1.0f); + invert_v3(a); + negate_v3(lr1_r0); + add_v3_fl(lr1_r0, 1.0f); + mul_v3_v3(a, lr1_r0); + /* sh_coefs[4] = p; */ + copy_v3_v3(wd->spherical_harmonics_coefs[4], p); + /* sh_coefs[5] = R0 * a; */ + mul_v3_v3v3(wd->spherical_harmonics_coefs[5], wd->spherical_harmonics_coefs[0], a); + /* sh_coefs[0] = R0 * (1.0 - a) * (p + 1.0); */ + negate_v3(a); + add_v3_fl(a, 1.0f); + add_v3_fl(p, 1.0f); + mul_v3_v3(a, p); + mul_v3_v3(wd->spherical_harmonics_coefs[0], a); +# else + for (int i = 0; i < STUDIOLIGHT_SH_EFFECTIVE_COEFS_LEN; i++) { + /* Can't memcpy because of alignment */ + copy_v3_v3(wd->spherical_harmonics_coefs[i], sl->spherical_harmonics_coefs[i]); + } +# endif #endif } -static void compute_parallel_lines_nor_and_dist(const float v1[2], const float v2[2], const float v3[2], float r_line[2]) +static void compute_parallel_lines_nor_and_dist(const float v1[2], + const float v2[2], + const float v3[2], + float r_line[2]) { - sub_v2_v2v2(r_line, v2, v1); - /* Find orthogonal vector. */ - SWAP(float, r_line[0], r_line[1]); - r_line[0] = -r_line[0]; - /* Edge distances. */ - r_line[2] = dot_v2v2(r_line, v1); - r_line[3] = dot_v2v2(r_line, v3); - /* Make sure r_line[2] is the minimum. */ - if (r_line[2] > r_line[3]) { - SWAP(float, r_line[2], r_line[3]); - } + sub_v2_v2v2(r_line, v2, v1); + /* Find orthogonal vector. */ + SWAP(float, r_line[0], r_line[1]); + r_line[0] = -r_line[0]; + /* Edge distances. */ + r_line[2] = dot_v2v2(r_line, v1); + r_line[3] = dot_v2v2(r_line, v3); + /* Make sure r_line[2] is the minimum. */ + if (r_line[2] > r_line[3]) { + SWAP(float, r_line[2], r_line[3]); + } } void studiolight_update_light(WORKBENCH_PrivateData *wpd, const float light_direction[3]) { - wpd->shadow_changed = !compare_v3v3(wpd->cached_shadow_direction, light_direction, 1e-5f); - - if (wpd->shadow_changed) { - float up[3] = {0.0f, 0.0f, 1.0f}; - unit_m4(wpd->shadow_mat); - - /* TODO fix singularity. */ - copy_v3_v3(wpd->shadow_mat[2], light_direction); - cross_v3_v3v3(wpd->shadow_mat[0], wpd->shadow_mat[2], up); - normalize_v3(wpd->shadow_mat[0]); - cross_v3_v3v3(wpd->shadow_mat[1], wpd->shadow_mat[2], wpd->shadow_mat[0]); - - invert_m4_m4(wpd->shadow_inv, wpd->shadow_mat); - - copy_v3_v3(wpd->cached_shadow_direction, light_direction); - } - - float planes[6][4]; - DRW_culling_frustum_planes_get(planes); - /* we only need the far plane. */ - copy_v4_v4(wpd->shadow_far_plane, planes[2]); - - BoundBox frustum_corners; - DRW_culling_frustum_corners_get(&frustum_corners); - - mul_v3_mat3_m4v3(wpd->shadow_near_corners[0], wpd->shadow_inv, frustum_corners.vec[0]); - mul_v3_mat3_m4v3(wpd->shadow_near_corners[1], wpd->shadow_inv, frustum_corners.vec[3]); - mul_v3_mat3_m4v3(wpd->shadow_near_corners[2], wpd->shadow_inv, frustum_corners.vec[7]); - mul_v3_mat3_m4v3(wpd->shadow_near_corners[3], wpd->shadow_inv, frustum_corners.vec[4]); - - INIT_MINMAX(wpd->shadow_near_min, wpd->shadow_near_max); - for (int i = 0; i < 4; ++i) { - minmax_v3v3_v3(wpd->shadow_near_min, wpd->shadow_near_max, wpd->shadow_near_corners[i]); - } - - compute_parallel_lines_nor_and_dist(wpd->shadow_near_corners[0], wpd->shadow_near_corners[1], wpd->shadow_near_corners[2], wpd->shadow_near_sides[0]); - compute_parallel_lines_nor_and_dist(wpd->shadow_near_corners[1], wpd->shadow_near_corners[2], wpd->shadow_near_corners[0], wpd->shadow_near_sides[1]); + wpd->shadow_changed = !compare_v3v3(wpd->cached_shadow_direction, light_direction, 1e-5f); + + if (wpd->shadow_changed) { + float up[3] = {0.0f, 0.0f, 1.0f}; + unit_m4(wpd->shadow_mat); + + /* TODO fix singularity. */ + copy_v3_v3(wpd->shadow_mat[2], light_direction); + cross_v3_v3v3(wpd->shadow_mat[0], wpd->shadow_mat[2], up); + normalize_v3(wpd->shadow_mat[0]); + cross_v3_v3v3(wpd->shadow_mat[1], wpd->shadow_mat[2], wpd->shadow_mat[0]); + + invert_m4_m4(wpd->shadow_inv, wpd->shadow_mat); + + copy_v3_v3(wpd->cached_shadow_direction, light_direction); + } + + float planes[6][4]; + DRW_culling_frustum_planes_get(planes); + /* we only need the far plane. */ + copy_v4_v4(wpd->shadow_far_plane, planes[2]); + + BoundBox frustum_corners; + DRW_culling_frustum_corners_get(&frustum_corners); + + mul_v3_mat3_m4v3(wpd->shadow_near_corners[0], wpd->shadow_inv, frustum_corners.vec[0]); + mul_v3_mat3_m4v3(wpd->shadow_near_corners[1], wpd->shadow_inv, frustum_corners.vec[3]); + mul_v3_mat3_m4v3(wpd->shadow_near_corners[2], wpd->shadow_inv, frustum_corners.vec[7]); + mul_v3_mat3_m4v3(wpd->shadow_near_corners[3], wpd->shadow_inv, frustum_corners.vec[4]); + + INIT_MINMAX(wpd->shadow_near_min, wpd->shadow_near_max); + for (int i = 0; i < 4; ++i) { + minmax_v3v3_v3(wpd->shadow_near_min, wpd->shadow_near_max, wpd->shadow_near_corners[i]); + } + + compute_parallel_lines_nor_and_dist(wpd->shadow_near_corners[0], + wpd->shadow_near_corners[1], + wpd->shadow_near_corners[2], + wpd->shadow_near_sides[0]); + compute_parallel_lines_nor_and_dist(wpd->shadow_near_corners[1], + wpd->shadow_near_corners[2], + wpd->shadow_near_corners[0], + wpd->shadow_near_sides[1]); } -static BoundBox *studiolight_object_shadow_bbox_get(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed) +static BoundBox *studiolight_object_shadow_bbox_get(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed) { - if ((oed->shadow_bbox_dirty) || (wpd->shadow_changed)) { - float tmp_mat[4][4]; - mul_m4_m4m4(tmp_mat, wpd->shadow_inv, ob->obmat); - - /* Get AABB in shadow space. */ - INIT_MINMAX(oed->shadow_min, oed->shadow_max); - - /* From object space to shadow space */ - BoundBox *bbox = BKE_object_boundbox_get(ob); - for (int i = 0; i < 8; ++i) { - float corner[3]; - mul_v3_m4v3(corner, tmp_mat, bbox->vec[i]); - minmax_v3v3_v3(oed->shadow_min, oed->shadow_max, corner); - } - oed->shadow_depth = oed->shadow_max[2] - oed->shadow_min[2]; - /* Extend towards infinity. */ - oed->shadow_max[2] += 1e4f; - - /* Get extended AABB in world space. */ - BKE_boundbox_init_from_minmax(&oed->shadow_bbox, oed->shadow_min, oed->shadow_max); - for (int i = 0; i < 8; ++i) { - mul_m4_v3(wpd->shadow_mat, oed->shadow_bbox.vec[i]); - } - oed->shadow_bbox_dirty = false; - } - - return &oed->shadow_bbox; + if ((oed->shadow_bbox_dirty) || (wpd->shadow_changed)) { + float tmp_mat[4][4]; + mul_m4_m4m4(tmp_mat, wpd->shadow_inv, ob->obmat); + + /* Get AABB in shadow space. */ + INIT_MINMAX(oed->shadow_min, oed->shadow_max); + + /* From object space to shadow space */ + BoundBox *bbox = BKE_object_boundbox_get(ob); + for (int i = 0; i < 8; ++i) { + float corner[3]; + mul_v3_m4v3(corner, tmp_mat, bbox->vec[i]); + minmax_v3v3_v3(oed->shadow_min, oed->shadow_max, corner); + } + oed->shadow_depth = oed->shadow_max[2] - oed->shadow_min[2]; + /* Extend towards infinity. */ + oed->shadow_max[2] += 1e4f; + + /* Get extended AABB in world space. */ + BKE_boundbox_init_from_minmax(&oed->shadow_bbox, oed->shadow_min, oed->shadow_max); + for (int i = 0; i < 8; ++i) { + mul_m4_v3(wpd->shadow_mat, oed->shadow_bbox.vec[i]); + } + oed->shadow_bbox_dirty = false; + } + + return &oed->shadow_bbox; } -bool studiolight_object_cast_visible_shadow(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed) +bool studiolight_object_cast_visible_shadow(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed) { - BoundBox *shadow_bbox = studiolight_object_shadow_bbox_get(wpd, ob, oed); - return DRW_culling_box_test(shadow_bbox); + BoundBox *shadow_bbox = studiolight_object_shadow_bbox_get(wpd, ob, oed); + return DRW_culling_box_test(shadow_bbox); } -float studiolight_object_shadow_distance(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed) +float studiolight_object_shadow_distance(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed) { - BoundBox *shadow_bbox = studiolight_object_shadow_bbox_get(wpd, ob, oed); - - int corners[4] = {0, 3, 4, 7}; - float dist = 1e4f, dist_isect; - for (int i = 0; i < 4; ++i) { - if (isect_ray_plane_v3(shadow_bbox->vec[corners[i]], - wpd->cached_shadow_direction, - wpd->shadow_far_plane, - &dist_isect, true)) - { - if (dist_isect < dist) { - dist = dist_isect; - } - } - else { - /* All rays are parallels. If one fails, the other will too. */ - break; - } - } - return max_ii(dist - oed->shadow_depth, 0); + BoundBox *shadow_bbox = studiolight_object_shadow_bbox_get(wpd, ob, oed); + + int corners[4] = {0, 3, 4, 7}; + float dist = 1e4f, dist_isect; + for (int i = 0; i < 4; ++i) { + if (isect_ray_plane_v3(shadow_bbox->vec[corners[i]], + wpd->cached_shadow_direction, + wpd->shadow_far_plane, + &dist_isect, + true)) { + if (dist_isect < dist) { + dist = dist_isect; + } + } + else { + /* All rays are parallels. If one fails, the other will too. */ + break; + } + } + return max_ii(dist - oed->shadow_depth, 0); } -bool studiolight_camera_in_object_shadow(WORKBENCH_PrivateData *wpd, Object *ob, WORKBENCH_ObjectData *oed) +bool studiolight_camera_in_object_shadow(WORKBENCH_PrivateData *wpd, + Object *ob, + WORKBENCH_ObjectData *oed) { - /* Just to be sure the min, max are updated. */ - studiolight_object_shadow_bbox_get(wpd, ob, oed); - - /* Test if near plane is in front of the shadow. */ - if (oed->shadow_min[2] > wpd->shadow_near_max[2]) { - return false; - } - - /* Separation Axis Theorem test */ - - /* Test bbox sides first (faster) */ - if ((oed->shadow_min[0] > wpd->shadow_near_max[0]) || - (oed->shadow_max[0] < wpd->shadow_near_min[0]) || - (oed->shadow_min[1] > wpd->shadow_near_max[1]) || - (oed->shadow_max[1] < wpd->shadow_near_min[1])) - { - return false; - } - - /* Test projected near rectangle sides */ - float pts[4][2] = { - {oed->shadow_min[0], oed->shadow_min[1]}, - {oed->shadow_min[0], oed->shadow_max[1]}, - {oed->shadow_max[0], oed->shadow_min[1]}, - {oed->shadow_max[0], oed->shadow_max[1]}, - }; - - for (int i = 0; i < 2; ++i) { - float min_dst = FLT_MAX, max_dst = -FLT_MAX; - for (int j = 0; j < 4; ++j) { - float dst = dot_v2v2(wpd->shadow_near_sides[i], pts[j]); - /* Do min max */ - if (min_dst > dst) { min_dst = dst; } - if (max_dst < dst) { max_dst = dst; } - } - - if ((wpd->shadow_near_sides[i][2] > max_dst) || - (wpd->shadow_near_sides[i][3] < min_dst)) - { - return false; - } - } - - /* No separation axis found. Both shape intersect. */ - return true; + /* Just to be sure the min, max are updated. */ + studiolight_object_shadow_bbox_get(wpd, ob, oed); + + /* Test if near plane is in front of the shadow. */ + if (oed->shadow_min[2] > wpd->shadow_near_max[2]) { + return false; + } + + /* Separation Axis Theorem test */ + + /* Test bbox sides first (faster) */ + if ((oed->shadow_min[0] > wpd->shadow_near_max[0]) || + (oed->shadow_max[0] < wpd->shadow_near_min[0]) || + (oed->shadow_min[1] > wpd->shadow_near_max[1]) || + (oed->shadow_max[1] < wpd->shadow_near_min[1])) { + return false; + } + + /* Test projected near rectangle sides */ + float pts[4][2] = { + {oed->shadow_min[0], oed->shadow_min[1]}, + {oed->shadow_min[0], oed->shadow_max[1]}, + {oed->shadow_max[0], oed->shadow_min[1]}, + {oed->shadow_max[0], oed->shadow_max[1]}, + }; + + for (int i = 0; i < 2; ++i) { + float min_dst = FLT_MAX, max_dst = -FLT_MAX; + for (int j = 0; j < 4; ++j) { + float dst = dot_v2v2(wpd->shadow_near_sides[i], pts[j]); + /* Do min max */ + if (min_dst > dst) { + min_dst = dst; + } + if (max_dst < dst) { + max_dst = dst; + } + } + + if ((wpd->shadow_near_sides[i][2] > max_dst) || (wpd->shadow_near_sides[i][3] < min_dst)) { + return false; + } + } + + /* No separation axis found. Both shape intersect. */ + return true; } diff --git a/source/blender/draw/engines/workbench/workbench_volume.c b/source/blender/draw/engines/workbench/workbench_volume.c index 0f5debc46d8..accc7e91576 100644 --- a/source/blender/draw/engines/workbench/workbench_volume.c +++ b/source/blender/draw/engines/workbench/workbench_volume.c @@ -35,20 +35,20 @@ #include "GPU_draw.h" enum { - VOLUME_SH_SLICE = 0, - VOLUME_SH_COBA, - VOLUME_SH_CUBIC, + VOLUME_SH_SLICE = 0, + VOLUME_SH_COBA, + VOLUME_SH_CUBIC, }; #define VOLUME_SH_MAX (1 << (VOLUME_SH_CUBIC + 1)) static struct { - struct GPUShader *volume_sh[VOLUME_SH_MAX]; - struct GPUShader *volume_coba_sh; - struct GPUShader *volume_slice_sh; - struct GPUShader *volume_slice_coba_sh; - struct GPUTexture *dummy_tex; - struct GPUTexture *dummy_coba_tex; + struct GPUShader *volume_sh[VOLUME_SH_MAX]; + struct GPUShader *volume_coba_sh; + struct GPUShader *volume_slice_sh; + struct GPUShader *volume_slice_coba_sh; + struct GPUTexture *dummy_tex; + struct GPUTexture *dummy_coba_tex; } e_data = {{NULL}}; extern char datatoc_workbench_volume_vert_glsl[]; @@ -56,174 +56,177 @@ extern char datatoc_workbench_volume_frag_glsl[]; static GPUShader *volume_shader_get(bool slice, bool coba, bool cubic) { - int id = 0; - id += (slice) ? (1 << VOLUME_SH_SLICE) : 0; - id += (coba) ? (1 << VOLUME_SH_COBA) : 0; - id += (cubic) ? (1 << VOLUME_SH_CUBIC) : 0; - - if (!e_data.volume_sh[id]) { - DynStr *ds = BLI_dynstr_new(); - - if (slice) { - BLI_dynstr_append(ds, "#define VOLUME_SLICE\n"); - } - if (coba) { - BLI_dynstr_append(ds, "#define USE_COBA\n"); - } - if (cubic) { - BLI_dynstr_append(ds, "#define USE_TRICUBIC\n"); - } - - char *defines = BLI_dynstr_get_cstring(ds); - BLI_dynstr_free(ds); - - e_data.volume_sh[id] = DRW_shader_create( - datatoc_workbench_volume_vert_glsl, NULL, - datatoc_workbench_volume_frag_glsl, - defines); - - MEM_freeN(defines); - } - - return e_data.volume_sh[id]; + int id = 0; + id += (slice) ? (1 << VOLUME_SH_SLICE) : 0; + id += (coba) ? (1 << VOLUME_SH_COBA) : 0; + id += (cubic) ? (1 << VOLUME_SH_CUBIC) : 0; + + if (!e_data.volume_sh[id]) { + DynStr *ds = BLI_dynstr_new(); + + if (slice) { + BLI_dynstr_append(ds, "#define VOLUME_SLICE\n"); + } + if (coba) { + BLI_dynstr_append(ds, "#define USE_COBA\n"); + } + if (cubic) { + BLI_dynstr_append(ds, "#define USE_TRICUBIC\n"); + } + + char *defines = BLI_dynstr_get_cstring(ds); + BLI_dynstr_free(ds); + + e_data.volume_sh[id] = DRW_shader_create( + datatoc_workbench_volume_vert_glsl, NULL, datatoc_workbench_volume_frag_glsl, defines); + + MEM_freeN(defines); + } + + return e_data.volume_sh[id]; } void workbench_volume_engine_init(void) { - if (!e_data.dummy_tex) { - float pixel[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - e_data.dummy_tex = GPU_texture_create_3d(1, 1, 1, GPU_RGBA8, pixel, NULL); - e_data.dummy_coba_tex = GPU_texture_create_1d(1, GPU_RGBA8, pixel, NULL); - } + if (!e_data.dummy_tex) { + float pixel[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + e_data.dummy_tex = GPU_texture_create_3d(1, 1, 1, GPU_RGBA8, pixel, NULL); + e_data.dummy_coba_tex = GPU_texture_create_1d(1, GPU_RGBA8, pixel, NULL); + } } void workbench_volume_engine_free(void) { - for (int i = 0; i < VOLUME_SH_MAX; ++i) { - DRW_SHADER_FREE_SAFE(e_data.volume_sh[i]); - } - DRW_TEXTURE_FREE_SAFE(e_data.dummy_tex); - DRW_TEXTURE_FREE_SAFE(e_data.dummy_coba_tex); + for (int i = 0; i < VOLUME_SH_MAX; ++i) { + DRW_SHADER_FREE_SAFE(e_data.volume_sh[i]); + } + DRW_TEXTURE_FREE_SAFE(e_data.dummy_tex); + DRW_TEXTURE_FREE_SAFE(e_data.dummy_coba_tex); } void workbench_volume_cache_init(WORKBENCH_Data *vedata) { - vedata->psl->volume_pass = DRW_pass_create("Volumes", DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_PREMUL | DRW_STATE_CULL_FRONT); + vedata->psl->volume_pass = DRW_pass_create( + "Volumes", DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_PREMUL | DRW_STATE_CULL_FRONT); } -void workbench_volume_cache_populate(WORKBENCH_Data *vedata, Scene *scene, Object *ob, ModifierData *md) +void workbench_volume_cache_populate(WORKBENCH_Data *vedata, + Scene *scene, + Object *ob, + ModifierData *md) { - SmokeModifierData *smd = (SmokeModifierData *)md; - SmokeDomainSettings *sds = smd->domain; - WORKBENCH_PrivateData *wpd = vedata->stl->g_data; - WORKBENCH_EffectInfo *effect_info = vedata->stl->effects; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - DRWShadingGroup *grp = NULL; - - /* Don't show smoke before simulation starts, this could be made an option in the future. */ - if (!sds->fluid || CFRA < sds->point_cache[0]->startframe) { - return; - } - - wpd->volumes_do = true; - const bool show_highres = BKE_smoke_show_highres(scene, sds); - if (sds->use_coba) { - GPU_create_smoke_coba_field(smd); - } - else if (!sds->wt || !show_highres) { - GPU_create_smoke(smd, 0); - } - else if (sds->wt && show_highres) { - GPU_create_smoke(smd, 1); - } - - if ((!sds->use_coba && sds->tex == NULL) || - (sds->use_coba && sds->tex_field == NULL)) - { - return; - } - - const bool use_slice = (sds->slice_method == MOD_SMOKE_SLICE_AXIS_ALIGNED && - sds->axis_slice_method == AXIS_SLICE_SINGLE); - const bool cubic_interp = (sds->interp_method == VOLUME_INTERP_CUBIC); - GPUShader *sh = volume_shader_get(use_slice, sds->use_coba, cubic_interp); - - if (use_slice) { - float invviewmat[4][4]; - DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); - - const int axis = (sds->slice_axis == SLICE_AXIS_AUTO) - ? axis_dominant_v3_single(invviewmat[2]) - : sds->slice_axis - 1; - float dim[3]; - BKE_object_dimensions_get(ob, dim); - /* 0.05f to acheive somewhat the same opacity as the full view. */ - float step_length = max_ff(1e-16f, dim[axis] * 0.05f); - - grp = DRW_shgroup_create(sh, vedata->psl->volume_pass); - DRW_shgroup_uniform_float_copy(grp, "slicePosition", sds->slice_depth); - DRW_shgroup_uniform_int_copy(grp, "sliceAxis", axis); - DRW_shgroup_uniform_float_copy(grp, "stepLength", step_length); - DRW_shgroup_state_disable(grp, DRW_STATE_CULL_FRONT); - } - else { - double noise_ofs; - BLI_halton_1d(3, 0.0, effect_info->jitter_index, &noise_ofs); - float dim[3], step_length, max_slice; - float slice_ct[3] = {sds->res[0], sds->res[1], sds->res[2]}; - mul_v3_fl(slice_ct, max_ff(0.001f, sds->slice_per_voxel)); - max_slice = max_fff(slice_ct[0], slice_ct[1], slice_ct[2]); - BKE_object_dimensions_get(ob, dim); - invert_v3(slice_ct); - mul_v3_v3(dim, slice_ct); - step_length = len_v3(dim); - - grp = DRW_shgroup_create(sh, vedata->psl->volume_pass); - DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); - DRW_shgroup_uniform_int_copy(grp, "samplesLen", max_slice); - DRW_shgroup_uniform_float_copy(grp, "stepLength", step_length); - DRW_shgroup_uniform_float_copy(grp, "noiseOfs", noise_ofs); - DRW_shgroup_state_enable(grp, DRW_STATE_CULL_FRONT); - } - - if (sds->use_coba) { - DRW_shgroup_uniform_texture(grp, "densityTexture", sds->tex_field); - DRW_shgroup_uniform_texture(grp, "transferTexture", sds->tex_coba); - } - else { - static float white[3] = {1.0f, 1.0f, 1.0f}; - bool use_constant_color = ((sds->active_fields & SM_ACTIVE_COLORS) == 0 && - (sds->active_fields & SM_ACTIVE_COLOR_SET) != 0); - DRW_shgroup_uniform_texture(grp, "densityTexture", sds->tex); - DRW_shgroup_uniform_texture(grp, "shadowTexture", sds->tex_shadow); - DRW_shgroup_uniform_texture(grp, "flameTexture", (sds->tex_flame) ? sds->tex_flame : e_data.dummy_tex); - DRW_shgroup_uniform_texture(grp, "flameColorTexture", (sds->tex_flame) ? sds->tex_flame_coba : e_data.dummy_coba_tex); - DRW_shgroup_uniform_vec3(grp, "activeColor", (use_constant_color) ? sds->active_color : white, 1); - } - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_uniform_float_copy(grp, "densityScale", 10.0f * sds->display_thickness); - - if (use_slice) { - DRW_shgroup_call_object_add(grp, DRW_cache_quad_get(), ob); - } - else { - DRW_shgroup_call_object_add(grp, DRW_cache_cube_get(), ob); - } - - BLI_addtail(&wpd->smoke_domains, BLI_genericNodeN(smd)); + SmokeModifierData *smd = (SmokeModifierData *)md; + SmokeDomainSettings *sds = smd->domain; + WORKBENCH_PrivateData *wpd = vedata->stl->g_data; + WORKBENCH_EffectInfo *effect_info = vedata->stl->effects; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + DRWShadingGroup *grp = NULL; + + /* Don't show smoke before simulation starts, this could be made an option in the future. */ + if (!sds->fluid || CFRA < sds->point_cache[0]->startframe) { + return; + } + + wpd->volumes_do = true; + const bool show_highres = BKE_smoke_show_highres(scene, sds); + if (sds->use_coba) { + GPU_create_smoke_coba_field(smd); + } + else if (!sds->wt || !show_highres) { + GPU_create_smoke(smd, 0); + } + else if (sds->wt && show_highres) { + GPU_create_smoke(smd, 1); + } + + if ((!sds->use_coba && sds->tex == NULL) || (sds->use_coba && sds->tex_field == NULL)) { + return; + } + + const bool use_slice = (sds->slice_method == MOD_SMOKE_SLICE_AXIS_ALIGNED && + sds->axis_slice_method == AXIS_SLICE_SINGLE); + const bool cubic_interp = (sds->interp_method == VOLUME_INTERP_CUBIC); + GPUShader *sh = volume_shader_get(use_slice, sds->use_coba, cubic_interp); + + if (use_slice) { + float invviewmat[4][4]; + DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); + + const int axis = (sds->slice_axis == SLICE_AXIS_AUTO) ? + axis_dominant_v3_single(invviewmat[2]) : + sds->slice_axis - 1; + float dim[3]; + BKE_object_dimensions_get(ob, dim); + /* 0.05f to acheive somewhat the same opacity as the full view. */ + float step_length = max_ff(1e-16f, dim[axis] * 0.05f); + + grp = DRW_shgroup_create(sh, vedata->psl->volume_pass); + DRW_shgroup_uniform_float_copy(grp, "slicePosition", sds->slice_depth); + DRW_shgroup_uniform_int_copy(grp, "sliceAxis", axis); + DRW_shgroup_uniform_float_copy(grp, "stepLength", step_length); + DRW_shgroup_state_disable(grp, DRW_STATE_CULL_FRONT); + } + else { + double noise_ofs; + BLI_halton_1d(3, 0.0, effect_info->jitter_index, &noise_ofs); + float dim[3], step_length, max_slice; + float slice_ct[3] = {sds->res[0], sds->res[1], sds->res[2]}; + mul_v3_fl(slice_ct, max_ff(0.001f, sds->slice_per_voxel)); + max_slice = max_fff(slice_ct[0], slice_ct[1], slice_ct[2]); + BKE_object_dimensions_get(ob, dim); + invert_v3(slice_ct); + mul_v3_v3(dim, slice_ct); + step_length = len_v3(dim); + + grp = DRW_shgroup_create(sh, vedata->psl->volume_pass); + DRW_shgroup_uniform_vec4(grp, "viewvecs[0]", (float *)wpd->viewvecs, 3); + DRW_shgroup_uniform_int_copy(grp, "samplesLen", max_slice); + DRW_shgroup_uniform_float_copy(grp, "stepLength", step_length); + DRW_shgroup_uniform_float_copy(grp, "noiseOfs", noise_ofs); + DRW_shgroup_state_enable(grp, DRW_STATE_CULL_FRONT); + } + + if (sds->use_coba) { + DRW_shgroup_uniform_texture(grp, "densityTexture", sds->tex_field); + DRW_shgroup_uniform_texture(grp, "transferTexture", sds->tex_coba); + } + else { + static float white[3] = {1.0f, 1.0f, 1.0f}; + bool use_constant_color = ((sds->active_fields & SM_ACTIVE_COLORS) == 0 && + (sds->active_fields & SM_ACTIVE_COLOR_SET) != 0); + DRW_shgroup_uniform_texture(grp, "densityTexture", sds->tex); + DRW_shgroup_uniform_texture(grp, "shadowTexture", sds->tex_shadow); + DRW_shgroup_uniform_texture( + grp, "flameTexture", (sds->tex_flame) ? sds->tex_flame : e_data.dummy_tex); + DRW_shgroup_uniform_texture( + grp, "flameColorTexture", (sds->tex_flame) ? sds->tex_flame_coba : e_data.dummy_coba_tex); + DRW_shgroup_uniform_vec3( + grp, "activeColor", (use_constant_color) ? sds->active_color : white, 1); + } + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_uniform_float_copy(grp, "densityScale", 10.0f * sds->display_thickness); + + if (use_slice) { + DRW_shgroup_call_object_add(grp, DRW_cache_quad_get(), ob); + } + else { + DRW_shgroup_call_object_add(grp, DRW_cache_cube_get(), ob); + } + + BLI_addtail(&wpd->smoke_domains, BLI_genericNodeN(smd)); } void workbench_volume_smoke_textures_free(WORKBENCH_PrivateData *wpd) { - /* Free Smoke Textures after rendering */ - /* XXX This is a waste of processing and GPU bandwidth if nothing - * is updated. But the problem is since Textures are stored in the - * modifier we don't want them to take precious VRAM if the - * modifier is not used for display. We should share them for - * all viewport in a redraw at least. */ - for (LinkData *link = wpd->smoke_domains.first; link; link = link->next) { - SmokeModifierData *smd = (SmokeModifierData *)link->data; - GPU_free_smoke(smd); - } - BLI_freelistN(&wpd->smoke_domains); + /* Free Smoke Textures after rendering */ + /* XXX This is a waste of processing and GPU bandwidth if nothing + * is updated. But the problem is since Textures are stored in the + * modifier we don't want them to take precious VRAM if the + * modifier is not used for display. We should share them for + * all viewport in a redraw at least. */ + for (LinkData *link = wpd->smoke_domains.first; link; link = link->next) { + SmokeModifierData *smd = (SmokeModifierData *)link->data; + GPU_free_smoke(smd); + } + BLI_freelistN(&wpd->smoke_domains); } diff --git a/source/blender/draw/intern/DRW_render.h b/source/blender/draw/intern/DRW_render.h index 98fd3712b97..b0320a522f8 100644 --- a/source/blender/draw/intern/DRW_render.h +++ b/source/blender/draw/intern/DRW_render.h @@ -85,309 +85,386 @@ typedef struct DRWUniform DRWUniform; /* TODO Put it somewhere else? */ typedef struct BoundSphere { - float center[3], radius; + float center[3], radius; } BoundSphere; /* declare members as empty (unused) */ typedef char DRWViewportEmptyList; #define DRW_VIEWPORT_LIST_SIZE(list) \ - (sizeof(list) == sizeof(DRWViewportEmptyList) ? 0 : ((sizeof(list)) / sizeof(void *))) + (sizeof(list) == sizeof(DRWViewportEmptyList) ? 0 : ((sizeof(list)) / sizeof(void *))) /* Unused members must be either pass list or 'char *' when not usd. */ -#define DRW_VIEWPORT_DATA_SIZE(ty) { \ - DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->fbl)), \ - DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->txl)), \ - DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->psl)), \ - DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->stl)), \ -} +#define DRW_VIEWPORT_DATA_SIZE(ty) \ + { \ + DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->fbl)), DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->txl)), \ + DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->psl)), \ + DRW_VIEWPORT_LIST_SIZE(*(((ty *)NULL)->stl)), \ + } /* Use of multisample framebuffers. */ -#define MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl) { \ - if (dfbl->multisample_fb != NULL) { \ - DRW_stats_query_start("Multisample Blit"); \ - GPU_framebuffer_bind(dfbl->multisample_fb); \ - /* TODO clear only depth but need to do alpha to coverage for transparencies. */ \ - GPU_framebuffer_clear_color_depth(dfbl->multisample_fb, (const float[4]){0.0f}, 1.0f); \ - DRW_stats_query_end(); \ - } \ -} ((void)0) - -#define MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl) { \ - if (dfbl->multisample_fb != NULL) { \ - DRW_stats_query_start("Multisample Resolve"); \ - GPU_framebuffer_bind(dfbl->default_fb); \ - DRW_multisamples_resolve(dtxl->multisample_depth, dtxl->multisample_color, true); \ - DRW_stats_query_end(); \ - } \ -} ((void)0) - -#define MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl) { \ - if (dfbl->multisample_fb != NULL) { \ - DRW_stats_query_start("Multisample Resolve"); \ - GPU_framebuffer_bind(dfbl->default_fb); \ - DRW_multisamples_resolve(dtxl->multisample_depth, dtxl->multisample_color, false); \ - DRW_stats_query_end(); \ - } \ -} ((void)0) - - - +#define MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl) \ + { \ + if (dfbl->multisample_fb != NULL) { \ + DRW_stats_query_start("Multisample Blit"); \ + GPU_framebuffer_bind(dfbl->multisample_fb); \ + /* TODO clear only depth but need to do alpha to coverage for transparencies. */ \ + GPU_framebuffer_clear_color_depth(dfbl->multisample_fb, (const float[4]){0.0f}, 1.0f); \ + DRW_stats_query_end(); \ + } \ + } \ + ((void)0) + +#define MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl) \ + { \ + if (dfbl->multisample_fb != NULL) { \ + DRW_stats_query_start("Multisample Resolve"); \ + GPU_framebuffer_bind(dfbl->default_fb); \ + DRW_multisamples_resolve(dtxl->multisample_depth, dtxl->multisample_color, true); \ + DRW_stats_query_end(); \ + } \ + } \ + ((void)0) + +#define MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl) \ + { \ + if (dfbl->multisample_fb != NULL) { \ + DRW_stats_query_start("Multisample Resolve"); \ + GPU_framebuffer_bind(dfbl->default_fb); \ + DRW_multisamples_resolve(dtxl->multisample_depth, dtxl->multisample_color, false); \ + DRW_stats_query_end(); \ + } \ + } \ + ((void)0) typedef struct DrawEngineDataSize { - int fbl_len; - int txl_len; - int psl_len; - int stl_len; + int fbl_len; + int txl_len; + int psl_len; + int stl_len; } DrawEngineDataSize; typedef struct DrawEngineType { - struct DrawEngineType *next, *prev; + struct DrawEngineType *next, *prev; - char idname[32]; + char idname[32]; - const DrawEngineDataSize *vedata_size; + const DrawEngineDataSize *vedata_size; - void (*engine_init)(void *vedata); - void (*engine_free)(void); + void (*engine_init)(void *vedata); + void (*engine_free)(void); - void (*cache_init)(void *vedata); - void (*cache_populate)(void *vedata, struct Object *ob); - void (*cache_finish)(void *vedata); + void (*cache_init)(void *vedata); + void (*cache_populate)(void *vedata, struct Object *ob); + void (*cache_finish)(void *vedata); - void (*draw_background)(void *vedata); - void (*draw_scene)(void *vedata); + void (*draw_background)(void *vedata); + void (*draw_scene)(void *vedata); - void (*view_update)(void *vedata); - void (*id_update)(void *vedata, struct ID *id); + void (*view_update)(void *vedata); + void (*id_update)(void *vedata, struct ID *id); - void (*render_to_image)( - void *vedata, struct RenderEngine *engine, - struct RenderLayer *layer, const struct rcti *rect); + void (*render_to_image)(void *vedata, + struct RenderEngine *engine, + struct RenderLayer *layer, + const struct rcti *rect); } DrawEngineType; #ifndef __DRW_ENGINE_H__ /* Buffer and textures used by the viewport by default */ typedef struct DefaultFramebufferList { - struct GPUFrameBuffer *default_fb; - struct GPUFrameBuffer *color_only_fb; - struct GPUFrameBuffer *depth_only_fb; - struct GPUFrameBuffer *multisample_fb; + struct GPUFrameBuffer *default_fb; + struct GPUFrameBuffer *color_only_fb; + struct GPUFrameBuffer *depth_only_fb; + struct GPUFrameBuffer *multisample_fb; } DefaultFramebufferList; typedef struct DefaultTextureList { - struct GPUTexture *color; - struct GPUTexture *depth; - struct GPUTexture *multisample_color; - struct GPUTexture *multisample_depth; + struct GPUTexture *color; + struct GPUTexture *depth; + struct GPUTexture *multisample_color; + struct GPUTexture *multisample_depth; } DefaultTextureList; #endif /* Textures */ typedef enum { - DRW_TEX_FILTER = (1 << 0), - DRW_TEX_WRAP = (1 << 1), - DRW_TEX_COMPARE = (1 << 2), - DRW_TEX_MIPMAP = (1 << 3), + DRW_TEX_FILTER = (1 << 0), + DRW_TEX_WRAP = (1 << 1), + DRW_TEX_COMPARE = (1 << 2), + DRW_TEX_MIPMAP = (1 << 3), } DRWTextureFlag; /* Textures from DRW_texture_pool_query_* have the options * DRW_TEX_FILTER for color float textures, and no options * for depth textures and integer textures. */ -struct GPUTexture *DRW_texture_pool_query_2d(int w, int h, eGPUTextureFormat format, DrawEngineType *engine_type); - -struct GPUTexture *DRW_texture_create_1d( - int w, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); +struct GPUTexture *DRW_texture_pool_query_2d(int w, + int h, + eGPUTextureFormat format, + DrawEngineType *engine_type); + +struct GPUTexture *DRW_texture_create_1d(int w, + eGPUTextureFormat format, + DRWTextureFlag flags, + const float *fpixels); struct GPUTexture *DRW_texture_create_2d( - int w, int h, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); + int w, int h, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); struct GPUTexture *DRW_texture_create_2d_array( - int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); + int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); struct GPUTexture *DRW_texture_create_3d( - int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); -struct GPUTexture *DRW_texture_create_cube( - int w, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); - -void DRW_texture_ensure_fullscreen_2d( - struct GPUTexture **tex, eGPUTextureFormat format, DRWTextureFlag flags); + int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels); +struct GPUTexture *DRW_texture_create_cube(int w, + eGPUTextureFormat format, + DRWTextureFlag flags, + const float *fpixels); + +void DRW_texture_ensure_fullscreen_2d(struct GPUTexture **tex, + eGPUTextureFormat format, + DRWTextureFlag flags); void DRW_texture_ensure_2d( - struct GPUTexture **tex, int w, int h, eGPUTextureFormat format, DRWTextureFlag flags); + struct GPUTexture **tex, int w, int h, eGPUTextureFormat format, DRWTextureFlag flags); void DRW_texture_generate_mipmaps(struct GPUTexture *tex); void DRW_texture_free(struct GPUTexture *tex); -#define DRW_TEXTURE_FREE_SAFE(tex) do { \ - if (tex != NULL) { \ - DRW_texture_free(tex); \ - tex = NULL; \ - } \ -} while (0) +#define DRW_TEXTURE_FREE_SAFE(tex) \ + do { \ + if (tex != NULL) { \ + DRW_texture_free(tex); \ + tex = NULL; \ + } \ + } while (0) /* UBOs */ struct GPUUniformBuffer *DRW_uniformbuffer_create(int size, const void *data); void DRW_uniformbuffer_update(struct GPUUniformBuffer *ubo, const void *data); void DRW_uniformbuffer_free(struct GPUUniformBuffer *ubo); -#define DRW_UBO_FREE_SAFE(ubo) do { \ - if (ubo != NULL) { \ - DRW_uniformbuffer_free(ubo); \ - ubo = NULL; \ - } \ -} while (0) - -void DRW_transform_to_display(struct GPUTexture *tex, bool use_view_transform, bool use_render_settings); +#define DRW_UBO_FREE_SAFE(ubo) \ + do { \ + if (ubo != NULL) { \ + DRW_uniformbuffer_free(ubo); \ + ubo = NULL; \ + } \ + } while (0) + +void DRW_transform_to_display(struct GPUTexture *tex, + bool use_view_transform, + bool use_render_settings); void DRW_transform_none(struct GPUTexture *tex); -void DRW_multisamples_resolve( - struct GPUTexture *src_depth, struct GPUTexture *src_color, bool use_depth); +void DRW_multisamples_resolve(struct GPUTexture *src_depth, + struct GPUTexture *src_color, + bool use_depth); /* Shaders */ -struct GPUShader *DRW_shader_create( - const char *vert, const char *geom, const char *frag, const char *defines); +struct GPUShader *DRW_shader_create(const char *vert, + const char *geom, + const char *frag, + const char *defines); struct GPUShader *DRW_shader_create_with_lib( - const char *vert, const char *geom, const char *frag, const char *lib, const char *defines); -struct GPUShader *DRW_shader_create_with_transform_feedback( - const char *vert, const char *geom, const char *defines, - const eGPUShaderTFBType prim_type, const char **varying_names, const int varying_count); + const char *vert, const char *geom, const char *frag, const char *lib, const char *defines); +struct GPUShader *DRW_shader_create_with_transform_feedback(const char *vert, + const char *geom, + const char *defines, + const eGPUShaderTFBType prim_type, + const char **varying_names, + const int varying_count); struct GPUShader *DRW_shader_create_2d(const char *frag, const char *defines); struct GPUShader *DRW_shader_create_3d(const char *frag, const char *defines); struct GPUShader *DRW_shader_create_fullscreen(const char *frag, const char *defines); struct GPUShader *DRW_shader_create_3d_depth_only(eGPUShaderConfig slot); -struct GPUMaterial *DRW_shader_find_from_world(struct World *wo, const void *engine_type, int options, bool deferred); -struct GPUMaterial *DRW_shader_find_from_material(struct Material *ma, const void *engine_type, int options, bool deferred); -struct GPUMaterial *DRW_shader_create_from_world( - struct Scene *scene, struct World *wo, const void *engine_type, int options, - const char *vert, const char *geom, const char *frag_lib, const char *defines, bool deferred); -struct GPUMaterial *DRW_shader_create_from_material( - struct Scene *scene, struct Material *ma, const void *engine_type, int options, - const char *vert, const char *geom, const char *frag_lib, const char *defines, bool deferred); +struct GPUMaterial *DRW_shader_find_from_world(struct World *wo, + const void *engine_type, + int options, + bool deferred); +struct GPUMaterial *DRW_shader_find_from_material(struct Material *ma, + const void *engine_type, + int options, + bool deferred); +struct GPUMaterial *DRW_shader_create_from_world(struct Scene *scene, + struct World *wo, + const void *engine_type, + int options, + const char *vert, + const char *geom, + const char *frag_lib, + const char *defines, + bool deferred); +struct GPUMaterial *DRW_shader_create_from_material(struct Scene *scene, + struct Material *ma, + const void *engine_type, + int options, + const char *vert, + const char *geom, + const char *frag_lib, + const char *defines, + bool deferred); void DRW_shader_free(struct GPUShader *shader); -#define DRW_SHADER_FREE_SAFE(shader) do { \ - if (shader != NULL) { \ - DRW_shader_free(shader); \ - shader = NULL; \ - } \ -} while (0) +#define DRW_SHADER_FREE_SAFE(shader) \ + do { \ + if (shader != NULL) { \ + DRW_shader_free(shader); \ + shader = NULL; \ + } \ + } while (0) /* Batches */ typedef enum { - DRW_STATE_WRITE_DEPTH = (1 << 0), - DRW_STATE_WRITE_COLOR = (1 << 1), - DRW_STATE_DEPTH_ALWAYS = (1 << 2), - DRW_STATE_DEPTH_LESS = (1 << 3), - DRW_STATE_DEPTH_LESS_EQUAL = (1 << 4), - DRW_STATE_DEPTH_EQUAL = (1 << 5), - DRW_STATE_DEPTH_GREATER = (1 << 6), - DRW_STATE_DEPTH_GREATER_EQUAL = (1 << 7), - DRW_STATE_CULL_BACK = (1 << 8), - DRW_STATE_CULL_FRONT = (1 << 9), - DRW_STATE_WIRE = (1 << 10), - DRW_STATE_POINT = (1 << 11), - /** Polygon offset. Does not work with lines and points. */ - DRW_STATE_OFFSET_POSITIVE = (1 << 12), - /** Polygon offset. Does not work with lines and points. */ - DRW_STATE_OFFSET_NEGATIVE = (1 << 13), - DRW_STATE_WIRE_WIDE = (1 << 14), - DRW_STATE_BLEND = (1 << 15), - DRW_STATE_ADDITIVE = (1 << 16), - DRW_STATE_MULTIPLY = (1 << 17), - /* DRW_STATE_TRANSMISSION = (1 << 18), */ /* Not used */ - DRW_STATE_CLIP_PLANES = (1 << 19), - /** Same as DRW_STATE_ADDITIVE but let alpha accumulate without premult. */ - DRW_STATE_ADDITIVE_FULL = (1 << 20), - /** Use that if color is already premult by alpha. */ - DRW_STATE_BLEND_PREMUL = (1 << 21), - DRW_STATE_WIRE_SMOOTH = (1 << 22), - DRW_STATE_TRANS_FEEDBACK = (1 << 23), - DRW_STATE_BLEND_OIT = (1 << 24), - DRW_STATE_FIRST_VERTEX_CONVENTION = (1 << 25), - - DRW_STATE_WRITE_STENCIL = (1 << 27), - DRW_STATE_WRITE_STENCIL_SHADOW_PASS = (1 << 28), - DRW_STATE_WRITE_STENCIL_SHADOW_FAIL = (1 << 29), - DRW_STATE_STENCIL_EQUAL = (1 << 30), - DRW_STATE_STENCIL_NEQUAL = (1 << 31), + DRW_STATE_WRITE_DEPTH = (1 << 0), + DRW_STATE_WRITE_COLOR = (1 << 1), + DRW_STATE_DEPTH_ALWAYS = (1 << 2), + DRW_STATE_DEPTH_LESS = (1 << 3), + DRW_STATE_DEPTH_LESS_EQUAL = (1 << 4), + DRW_STATE_DEPTH_EQUAL = (1 << 5), + DRW_STATE_DEPTH_GREATER = (1 << 6), + DRW_STATE_DEPTH_GREATER_EQUAL = (1 << 7), + DRW_STATE_CULL_BACK = (1 << 8), + DRW_STATE_CULL_FRONT = (1 << 9), + DRW_STATE_WIRE = (1 << 10), + DRW_STATE_POINT = (1 << 11), + /** Polygon offset. Does not work with lines and points. */ + DRW_STATE_OFFSET_POSITIVE = (1 << 12), + /** Polygon offset. Does not work with lines and points. */ + DRW_STATE_OFFSET_NEGATIVE = (1 << 13), + DRW_STATE_WIRE_WIDE = (1 << 14), + DRW_STATE_BLEND = (1 << 15), + DRW_STATE_ADDITIVE = (1 << 16), + DRW_STATE_MULTIPLY = (1 << 17), + /* DRW_STATE_TRANSMISSION = (1 << 18), */ /* Not used */ + DRW_STATE_CLIP_PLANES = (1 << 19), + /** Same as DRW_STATE_ADDITIVE but let alpha accumulate without premult. */ + DRW_STATE_ADDITIVE_FULL = (1 << 20), + /** Use that if color is already premult by alpha. */ + DRW_STATE_BLEND_PREMUL = (1 << 21), + DRW_STATE_WIRE_SMOOTH = (1 << 22), + DRW_STATE_TRANS_FEEDBACK = (1 << 23), + DRW_STATE_BLEND_OIT = (1 << 24), + DRW_STATE_FIRST_VERTEX_CONVENTION = (1 << 25), + + DRW_STATE_WRITE_STENCIL = (1 << 27), + DRW_STATE_WRITE_STENCIL_SHADOW_PASS = (1 << 28), + DRW_STATE_WRITE_STENCIL_SHADOW_FAIL = (1 << 29), + DRW_STATE_STENCIL_EQUAL = (1 << 30), + DRW_STATE_STENCIL_NEQUAL = (1 << 31), } DRWState; -#define DRW_STATE_DEFAULT (DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL) -#define DRW_STATE_RASTERIZER_ENABLED (DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_STENCIL | \ - DRW_STATE_WRITE_STENCIL_SHADOW_PASS | DRW_STATE_WRITE_STENCIL_SHADOW_FAIL) +#define DRW_STATE_DEFAULT \ + (DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL) +#define DRW_STATE_RASTERIZER_ENABLED \ + (DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_STENCIL | \ + DRW_STATE_WRITE_STENCIL_SHADOW_PASS | DRW_STATE_WRITE_STENCIL_SHADOW_FAIL) typedef enum { - DRW_ATTR_INT, - DRW_ATTR_FLOAT, + DRW_ATTR_INT, + DRW_ATTR_FLOAT, } eDRWAttrType; typedef struct DRWInstanceAttrFormat { - char name[32]; - eDRWAttrType type; - int components; + char name[32]; + eDRWAttrType type; + int components; } DRWInstanceAttrFormat; -struct GPUVertFormat *DRW_shgroup_instance_format_array(const DRWInstanceAttrFormat attrs[], int arraysize); -#define DRW_shgroup_instance_format(format, ...) do { \ - if (format == NULL) { \ - DRWInstanceAttrFormat drw_format[] = __VA_ARGS__;\ - format = DRW_shgroup_instance_format_array(drw_format, (sizeof(drw_format) / sizeof(DRWInstanceAttrFormat))); \ - } \ -} while (0) +struct GPUVertFormat *DRW_shgroup_instance_format_array(const DRWInstanceAttrFormat attrs[], + int arraysize); +#define DRW_shgroup_instance_format(format, ...) \ + do { \ + if (format == NULL) { \ + DRWInstanceAttrFormat drw_format[] = __VA_ARGS__; \ + format = DRW_shgroup_instance_format_array( \ + drw_format, (sizeof(drw_format) / sizeof(DRWInstanceAttrFormat))); \ + } \ + } while (0) DRWShadingGroup *DRW_shgroup_create(struct GPUShader *shader, DRWPass *pass); DRWShadingGroup *DRW_shgroup_create_sub(DRWShadingGroup *shgroup); DRWShadingGroup *DRW_shgroup_material_create(struct GPUMaterial *material, DRWPass *pass); -DRWShadingGroup *DRW_shgroup_material_instance_create( - struct GPUMaterial *material, DRWPass *pass, struct GPUBatch *geom, struct Object *ob, - struct GPUVertFormat *format); -DRWShadingGroup *DRW_shgroup_material_empty_tri_batch_create(struct GPUMaterial *material, DRWPass *pass, int size); -DRWShadingGroup *DRW_shgroup_instance_create( - struct GPUShader *shader, DRWPass *pass, struct GPUBatch *geom, struct GPUVertFormat *format); +DRWShadingGroup *DRW_shgroup_material_instance_create(struct GPUMaterial *material, + DRWPass *pass, + struct GPUBatch *geom, + struct Object *ob, + struct GPUVertFormat *format); +DRWShadingGroup *DRW_shgroup_material_empty_tri_batch_create(struct GPUMaterial *material, + DRWPass *pass, + int size); +DRWShadingGroup *DRW_shgroup_instance_create(struct GPUShader *shader, + DRWPass *pass, + struct GPUBatch *geom, + struct GPUVertFormat *format); DRWShadingGroup *DRW_shgroup_point_batch_create(struct GPUShader *shader, DRWPass *pass); -DRWShadingGroup *DRW_shgroup_line_batch_create_with_format( - struct GPUShader *shader, DRWPass *pass, struct GPUVertFormat *format); -DRWShadingGroup *DRW_shgroup_line_batch_create( - struct GPUShader *shader, DRWPass *pass); -DRWShadingGroup *DRW_shgroup_empty_tri_batch_create( - struct GPUShader *shader, DRWPass *pass, int size); -DRWShadingGroup *DRW_shgroup_transform_feedback_create( - struct GPUShader *shader, DRWPass *pass, struct GPUVertBuf *tf_target); - - -typedef void (DRWCallGenerateFn)( - DRWShadingGroup *shgroup, - void (*draw_fn)(DRWShadingGroup *shgroup, struct GPUBatch *geom), - void *user_data); +DRWShadingGroup *DRW_shgroup_line_batch_create_with_format(struct GPUShader *shader, + DRWPass *pass, + struct GPUVertFormat *format); +DRWShadingGroup *DRW_shgroup_line_batch_create(struct GPUShader *shader, DRWPass *pass); +DRWShadingGroup *DRW_shgroup_empty_tri_batch_create(struct GPUShader *shader, + DRWPass *pass, + int size); +DRWShadingGroup *DRW_shgroup_transform_feedback_create(struct GPUShader *shader, + DRWPass *pass, + struct GPUVertBuf *tf_target); + +typedef void(DRWCallGenerateFn)(DRWShadingGroup *shgroup, + void (*draw_fn)(DRWShadingGroup *shgroup, struct GPUBatch *geom), + void *user_data); /* return final visibility */ -typedef bool (DRWCallVisibilityFn)( - bool vis_in, - void *user_data); +typedef bool(DRWCallVisibilityFn)(bool vis_in, void *user_data); void DRW_shgroup_instance_batch(DRWShadingGroup *shgroup, struct GPUBatch *batch); void DRW_shgroup_call_add(DRWShadingGroup *shgroup, struct GPUBatch *geom, float (*obmat)[4]); void DRW_shgroup_call_range_add( - DRWShadingGroup *shgroup, struct GPUBatch *geom, float (*obmat)[4], uint v_sta, uint v_count); -void DRW_shgroup_call_procedural_points_add(DRWShadingGroup *shgroup, uint point_len, float (*obmat)[4]); -void DRW_shgroup_call_procedural_lines_add(DRWShadingGroup *shgroup, uint line_count, float (*obmat)[4]); -void DRW_shgroup_call_procedural_triangles_add(DRWShadingGroup *shgroup, uint tria_count, float (*obmat)[4]); -void DRW_shgroup_call_object_procedural_triangles_culled_add(DRWShadingGroup *shgroup, uint tria_count, struct Object *ob); -void DRW_shgroup_call_object_add_ex( - DRWShadingGroup *shgroup, struct GPUBatch *geom, struct Object *ob, struct Material *ma, bool bypass_culling); -#define DRW_shgroup_call_object_add(shgroup, geom, ob) DRW_shgroup_call_object_add_ex(shgroup, geom, ob, NULL, false) -#define DRW_shgroup_call_object_add_no_cull(shgroup, geom, ob) DRW_shgroup_call_object_add_ex(shgroup, geom, ob, NULL, true) -void DRW_shgroup_call_object_add_with_callback( - DRWShadingGroup *shgroup, struct GPUBatch *geom, struct Object *ob, struct Material *ma, - DRWCallVisibilityFn *callback, void *user_data); + DRWShadingGroup *shgroup, struct GPUBatch *geom, float (*obmat)[4], uint v_sta, uint v_count); +void DRW_shgroup_call_procedural_points_add(DRWShadingGroup *shgroup, + uint point_len, + float (*obmat)[4]); +void DRW_shgroup_call_procedural_lines_add(DRWShadingGroup *shgroup, + uint line_count, + float (*obmat)[4]); +void DRW_shgroup_call_procedural_triangles_add(DRWShadingGroup *shgroup, + uint tria_count, + float (*obmat)[4]); +void DRW_shgroup_call_object_procedural_triangles_culled_add(DRWShadingGroup *shgroup, + uint tria_count, + struct Object *ob); +void DRW_shgroup_call_object_add_ex(DRWShadingGroup *shgroup, + struct GPUBatch *geom, + struct Object *ob, + struct Material *ma, + bool bypass_culling); +#define DRW_shgroup_call_object_add(shgroup, geom, ob) \ + DRW_shgroup_call_object_add_ex(shgroup, geom, ob, NULL, false) +#define DRW_shgroup_call_object_add_no_cull(shgroup, geom, ob) \ + DRW_shgroup_call_object_add_ex(shgroup, geom, ob, NULL, true) +void DRW_shgroup_call_object_add_with_callback(DRWShadingGroup *shgroup, + struct GPUBatch *geom, + struct Object *ob, + struct Material *ma, + DRWCallVisibilityFn *callback, + void *user_data); /* Used for drawing a batch with instancing without instance attributes. */ -void DRW_shgroup_call_instances_add( - DRWShadingGroup *shgroup, struct GPUBatch *geom, float (*obmat)[4], uint *count); -void DRW_shgroup_call_object_instances_add( - DRWShadingGroup *shgroup, struct GPUBatch *geom, struct Object *ob, uint *count); +void DRW_shgroup_call_instances_add(DRWShadingGroup *shgroup, + struct GPUBatch *geom, + float (*obmat)[4], + uint *count); +void DRW_shgroup_call_object_instances_add(DRWShadingGroup *shgroup, + struct GPUBatch *geom, + struct Object *ob, + uint *count); void DRW_shgroup_call_sculpt_add(DRWShadingGroup *shgroup, struct Object *ob, float (*obmat)[4]); -void DRW_shgroup_call_sculpt_wires_add(DRWShadingGroup *shgroup, struct Object *ob, float (*obmat)[4]); -void DRW_shgroup_call_generate_add( - DRWShadingGroup *shgroup, DRWCallGenerateFn *geometry_fn, void *user_data, float (*obmat)[4]); -void DRW_shgroup_call_dynamic_add_array(DRWShadingGroup *shgroup, const void *attr[], uint attr_len); -#define DRW_shgroup_call_dynamic_add(shgroup, ...) do { \ - const void *array[] = {__VA_ARGS__}; \ - DRW_shgroup_call_dynamic_add_array(shgroup, array, (sizeof(array) / sizeof(*array))); \ -} while (0) +void DRW_shgroup_call_sculpt_wires_add(DRWShadingGroup *shgroup, + struct Object *ob, + float (*obmat)[4]); +void DRW_shgroup_call_generate_add(DRWShadingGroup *shgroup, + DRWCallGenerateFn *geometry_fn, + void *user_data, + float (*obmat)[4]); +void DRW_shgroup_call_dynamic_add_array(DRWShadingGroup *shgroup, + const void *attr[], + uint attr_len); +#define DRW_shgroup_call_dynamic_add(shgroup, ...) \ + do { \ + const void *array[] = {__VA_ARGS__}; \ + DRW_shgroup_call_dynamic_add_array(shgroup, array, (sizeof(array) / sizeof(*array))); \ + } while (0) uint DRW_shgroup_get_instance_count(const DRWShadingGroup *shgroup); @@ -395,23 +472,66 @@ void DRW_shgroup_state_enable(DRWShadingGroup *shgroup, DRWState state); void DRW_shgroup_state_disable(DRWShadingGroup *shgroup, DRWState state); void DRW_shgroup_stencil_mask(DRWShadingGroup *shgroup, uint mask); -void DRW_shgroup_uniform_texture(DRWShadingGroup *shgroup, const char *name, const struct GPUTexture *tex); -void DRW_shgroup_uniform_texture_persistent(DRWShadingGroup *shgroup, const char *name, const struct GPUTexture *tex); -void DRW_shgroup_uniform_block(DRWShadingGroup *shgroup, const char *name, const struct GPUUniformBuffer *ubo); -void DRW_shgroup_uniform_block_persistent(DRWShadingGroup *shgroup, const char *name, const struct GPUUniformBuffer *ubo); -void DRW_shgroup_uniform_texture_ref(DRWShadingGroup *shgroup, const char *name, struct GPUTexture **tex); -void DRW_shgroup_uniform_float(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize); -void DRW_shgroup_uniform_vec2(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize); -void DRW_shgroup_uniform_vec3(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize); -void DRW_shgroup_uniform_vec4(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize); -void DRW_shgroup_uniform_short_to_int(DRWShadingGroup *shgroup, const char *name, const short *value, int arraysize); -void DRW_shgroup_uniform_short_to_float(DRWShadingGroup *shgroup, const char *name, const short *value, int arraysize); +void DRW_shgroup_uniform_texture(DRWShadingGroup *shgroup, + const char *name, + const struct GPUTexture *tex); +void DRW_shgroup_uniform_texture_persistent(DRWShadingGroup *shgroup, + const char *name, + const struct GPUTexture *tex); +void DRW_shgroup_uniform_block(DRWShadingGroup *shgroup, + const char *name, + const struct GPUUniformBuffer *ubo); +void DRW_shgroup_uniform_block_persistent(DRWShadingGroup *shgroup, + const char *name, + const struct GPUUniformBuffer *ubo); +void DRW_shgroup_uniform_texture_ref(DRWShadingGroup *shgroup, + const char *name, + struct GPUTexture **tex); +void DRW_shgroup_uniform_float(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize); +void DRW_shgroup_uniform_vec2(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize); +void DRW_shgroup_uniform_vec3(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize); +void DRW_shgroup_uniform_vec4(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize); +void DRW_shgroup_uniform_short_to_int(DRWShadingGroup *shgroup, + const char *name, + const short *value, + int arraysize); +void DRW_shgroup_uniform_short_to_float(DRWShadingGroup *shgroup, + const char *name, + const short *value, + int arraysize); /* Boolean are expected to be 4bytes longs for opengl! */ -void DRW_shgroup_uniform_bool(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize); -void DRW_shgroup_uniform_int(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize); -void DRW_shgroup_uniform_ivec2(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize); -void DRW_shgroup_uniform_ivec3(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize); -void DRW_shgroup_uniform_ivec4(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize); +void DRW_shgroup_uniform_bool(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize); +void DRW_shgroup_uniform_int(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize); +void DRW_shgroup_uniform_ivec2(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize); +void DRW_shgroup_uniform_ivec3(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize); +void DRW_shgroup_uniform_ivec4(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize); void DRW_shgroup_uniform_mat3(DRWShadingGroup *shgroup, const char *name, const float (*value)[3]); void DRW_shgroup_uniform_mat4(DRWShadingGroup *shgroup, const char *name, const float (*value)[4]); /* Store value instead of referencing it. */ @@ -426,37 +546,39 @@ DRWPass *DRW_pass_create(const char *name, DRWState state); void DRW_pass_state_set(DRWPass *pass, DRWState state); void DRW_pass_state_add(DRWPass *pass, DRWState state); void DRW_pass_state_remove(DRWPass *pass, DRWState state); -void DRW_pass_foreach_shgroup(DRWPass *pass, void (*callback)(void *userData, DRWShadingGroup *shgrp), void *userData); +void DRW_pass_foreach_shgroup(DRWPass *pass, + void (*callback)(void *userData, DRWShadingGroup *shgrp), + void *userData); void DRW_pass_sort_shgroup_z(DRWPass *pass); bool DRW_pass_is_empty(DRWPass *pass); /* Viewport */ typedef enum { - /* keep in sync with the union struct DRWMatrixState. */ - DRW_MAT_PERS = 0, - DRW_MAT_PERSINV, - DRW_MAT_VIEW, - DRW_MAT_VIEWINV, - DRW_MAT_WIN, - DRW_MAT_WININV, - - DRW_MAT_COUNT, // Don't use this. + /* keep in sync with the union struct DRWMatrixState. */ + DRW_MAT_PERS = 0, + DRW_MAT_PERSINV, + DRW_MAT_VIEW, + DRW_MAT_VIEWINV, + DRW_MAT_WIN, + DRW_MAT_WININV, + + DRW_MAT_COUNT, // Don't use this. } DRWViewportMatrixType; typedef struct DRWMatrixState { - union { - float mat[DRW_MAT_COUNT][4][4]; - struct { - /* keep in sync with the enum DRWViewportMatrixType. */ - float persmat[4][4]; - float persinv[4][4]; - float viewmat[4][4]; - float viewinv[4][4]; - float winmat[4][4]; - float wininv[4][4]; - }; - }; + union { + float mat[DRW_MAT_COUNT][4][4]; + struct { + /* keep in sync with the enum DRWViewportMatrixType. */ + float persmat[4][4]; + float persinv[4][4]; + float viewmat[4][4]; + float viewinv[4][4]; + float winmat[4][4]; + float wininv[4][4]; + }; + }; } DRWMatrixState; void DRW_viewport_matrix_get(float mat[4][4], DRWViewportMatrixType type); @@ -478,38 +600,41 @@ const float *DRW_viewport_pixelsize_get(void); bool DRW_viewport_is_persp_get(void); struct DefaultFramebufferList *DRW_viewport_framebuffer_list_get(void); -struct DefaultTextureList *DRW_viewport_texture_list_get(void); +struct DefaultTextureList *DRW_viewport_texture_list_get(void); void DRW_viewport_request_redraw(void); void DRW_render_to_image(struct RenderEngine *engine, struct Depsgraph *depsgraph); -void DRW_render_object_iter( - void *vedata, struct RenderEngine *engine, struct Depsgraph *depsgraph, - void (*callback)(void *vedata, struct Object *ob, struct RenderEngine *engine, struct Depsgraph *depsgraph)); +void DRW_render_object_iter(void *vedata, + struct RenderEngine *engine, + struct Depsgraph *depsgraph, + void (*callback)(void *vedata, + struct Object *ob, + struct RenderEngine *engine, + struct Depsgraph *depsgraph)); void DRW_render_instance_buffer_finish(void); void DRW_render_viewport_size_set(int size[2]); -void DRW_custom_pipeline( - DrawEngineType *draw_engine_type, - struct Depsgraph *depsgraph, - void (*callback)(void *vedata, void *user_data), - void *user_data); +void DRW_custom_pipeline(DrawEngineType *draw_engine_type, + struct Depsgraph *depsgraph, + void (*callback)(void *vedata, void *user_data), + void *user_data); /* ViewLayers */ void *DRW_view_layer_engine_data_get(DrawEngineType *engine_type); -void **DRW_view_layer_engine_data_ensure_ex( - struct ViewLayer *view_layer, DrawEngineType *engine_type, void (*callback)(void *storage)); -void **DRW_view_layer_engine_data_ensure( - DrawEngineType *engine_type, void (*callback)(void *storage)); +void **DRW_view_layer_engine_data_ensure_ex(struct ViewLayer *view_layer, + DrawEngineType *engine_type, + void (*callback)(void *storage)); +void **DRW_view_layer_engine_data_ensure(DrawEngineType *engine_type, + void (*callback)(void *storage)); /* DrawData */ DrawData *DRW_drawdata_get(ID *ib, DrawEngineType *engine_type); -DrawData *DRW_drawdata_ensure( - ID *id, - DrawEngineType *engine_type, - size_t size, - DrawDataInitCb init_cb, - DrawDataFreeCb free_cb); +DrawData *DRW_drawdata_ensure(ID *id, + DrawEngineType *engine_type, + size_t size, + DrawDataInitCb init_cb, + DrawDataFreeCb free_cb); /* Settings */ bool DRW_object_is_renderable(const struct Object *ob); @@ -517,7 +642,8 @@ int DRW_object_visibility_in_active_context(const struct Object *ob); bool DRW_object_is_flat_normal(const struct Object *ob); bool DRW_object_use_hide_faces(const struct Object *ob); -bool DRW_object_is_visible_psys_in_active_context(const struct Object *object, const struct ParticleSystem *psys); +bool DRW_object_is_visible_psys_in_active_context(const struct Object *object, + const struct ParticleSystem *psys); struct Object *DRW_object_get_dupli_parent(const struct Object *ob); struct DupliObject *DRW_object_get_dupli(const struct Object *ob); @@ -566,33 +692,33 @@ bool DRW_state_draw_background(void); /* Avoid too many lookups while drawing */ typedef struct DRWContextState { - struct ARegion *ar; /* 'CTX_wm_region(C)' */ - struct RegionView3D *rv3d; /* 'CTX_wm_region_view3d(C)' */ - struct View3D *v3d; /* 'CTX_wm_view3d(C)' */ + struct ARegion *ar; /* 'CTX_wm_region(C)' */ + struct RegionView3D *rv3d; /* 'CTX_wm_region_view3d(C)' */ + struct View3D *v3d; /* 'CTX_wm_view3d(C)' */ - struct Scene *scene; /* 'CTX_data_scene(C)' */ - struct ViewLayer *view_layer; /* 'CTX_data_view_layer(C)' */ + struct Scene *scene; /* 'CTX_data_scene(C)' */ + struct ViewLayer *view_layer; /* 'CTX_data_view_layer(C)' */ - /* Use 'object_edit' for edit-mode */ - struct Object *obact; /* 'OBACT' */ + /* Use 'object_edit' for edit-mode */ + struct Object *obact; /* 'OBACT' */ - struct RenderEngineType *engine_type; + struct RenderEngineType *engine_type; - struct Depsgraph *depsgraph; + struct Depsgraph *depsgraph; - eObjectMode object_mode; + eObjectMode object_mode; - eGPUShaderConfig sh_cfg; + eGPUShaderConfig sh_cfg; - /** Last resort (some functions take this as an arg so we can't easily avoid). - * May be NULL when used for selection or depth buffer. */ - const struct bContext *evil_C; + /** Last resort (some functions take this as an arg so we can't easily avoid). + * May be NULL when used for selection or depth buffer. */ + const struct bContext *evil_C; - /* ---- */ + /* ---- */ - /* Cache: initialized by 'drw_context_state_init'. */ - struct Object *object_pose; - struct Object *object_edit; + /* Cache: initialized by 'drw_context_state_init'. */ + struct Object *object_pose; + struct Object *object_edit; } DRWContextState; diff --git a/source/blender/draw/intern/draw_anim_viz.c b/source/blender/draw/intern/draw_anim_viz.c index 03566de01d2..8ff2916b040 100644 --- a/source/blender/draw/intern/draw_anim_viz.c +++ b/source/blender/draw/intern/draw_anim_viz.c @@ -20,7 +20,6 @@ * \ingroup draw */ - #include #include #include @@ -57,26 +56,26 @@ /* XXX: How to show frame numbers, etc.? Currently only doing the dots and lines */ typedef struct MPATH_PassList { - struct DRWPass *lines; - struct DRWPass *points; + struct DRWPass *lines; + struct DRWPass *points; } MPATH_PassList; typedef struct MPATH_StorageList { - struct MPATH_PrivateData *g_data; + struct MPATH_PrivateData *g_data; } MPATH_StorageList; typedef struct MPATH_Data { - void *engine_type; - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - MPATH_PassList *psl; - MPATH_StorageList *stl; + void *engine_type; + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + MPATH_PassList *psl; + MPATH_StorageList *stl; } MPATH_Data; #if 0 static struct { - GPUShader *mpath_line_sh; - GPUShader *mpath_points_sh; + GPUShader *mpath_line_sh; + GPUShader *mpath_points_sh; } e_data = {0}; #endif @@ -85,36 +84,37 @@ static struct { /* Just convert the CPU cache to GPU cache. */ static GPUVertBuf *mpath_vbo_get(bMotionPath *mpath) { - if (!mpath->points_vbo) { - GPUVertFormat format = {0}; - /* Match structure of bMotionPathVert. */ - uint pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - GPU_vertformat_attr_add(&format, "flag", GPU_COMP_I32, 1, GPU_FETCH_INT); - mpath->points_vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(mpath->points_vbo, mpath->length); - - /* meh... a useless memcpy. */ - GPUVertBufRaw raw_data; - GPU_vertbuf_attr_get_raw_data(mpath->points_vbo, pos, &raw_data); - memcpy(GPU_vertbuf_raw_step(&raw_data), mpath->points, sizeof(bMotionPathVert) * mpath->length); - } - return mpath->points_vbo; + if (!mpath->points_vbo) { + GPUVertFormat format = {0}; + /* Match structure of bMotionPathVert. */ + uint pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + GPU_vertformat_attr_add(&format, "flag", GPU_COMP_I32, 1, GPU_FETCH_INT); + mpath->points_vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(mpath->points_vbo, mpath->length); + + /* meh... a useless memcpy. */ + GPUVertBufRaw raw_data; + GPU_vertbuf_attr_get_raw_data(mpath->points_vbo, pos, &raw_data); + memcpy( + GPU_vertbuf_raw_step(&raw_data), mpath->points, sizeof(bMotionPathVert) * mpath->length); + } + return mpath->points_vbo; } static GPUBatch *mpath_batch_line_get(bMotionPath *mpath) { - if (!mpath->batch_line) { - mpath->batch_line = GPU_batch_create(GPU_PRIM_LINE_STRIP, mpath_vbo_get(mpath), NULL); - } - return mpath->batch_line; + if (!mpath->batch_line) { + mpath->batch_line = GPU_batch_create(GPU_PRIM_LINE_STRIP, mpath_vbo_get(mpath), NULL); + } + return mpath->batch_line; } static GPUBatch *mpath_batch_points_get(bMotionPath *mpath) { - if (!mpath->batch_points) { - mpath->batch_points = GPU_batch_create(GPU_PRIM_POINTS, mpath_vbo_get(mpath), NULL); - } - return mpath->batch_points; + if (!mpath->batch_points) { + mpath->batch_points = GPU_batch_create(GPU_PRIM_POINTS, mpath_vbo_get(mpath), NULL); + } + return mpath->batch_points; } /* *************************** Draw Engine Entrypoints ************************** */ @@ -131,185 +131,188 @@ static void MPATH_engine_free(void) * Assume that all Passes are NULL */ static void MPATH_cache_init(void *vedata) { - MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; + MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; - { - DRWState state = DRW_STATE_WRITE_COLOR; - psl->lines = DRW_pass_create("Motionpath Line Pass", state); - } + { + DRWState state = DRW_STATE_WRITE_COLOR; + psl->lines = DRW_pass_create("Motionpath Line Pass", state); + } - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_POINT; - psl->points = DRW_pass_create("Motionpath Point Pass", state); - } + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_POINT; + psl->points = DRW_pass_create("Motionpath Point Pass", state); + } } -static void MPATH_get_frame_range_to_draw( - bAnimVizSettings *avs, bMotionPath *mpath, int current_frame, - int *r_start, int *r_end, int *r_step) +static void MPATH_get_frame_range_to_draw(bAnimVizSettings *avs, + bMotionPath *mpath, + int current_frame, + int *r_start, + int *r_end, + int *r_step) { - int start, end; - - if (avs->path_type == MOTIONPATH_TYPE_ACFRA) { - start = current_frame - avs->path_bc; - end = current_frame + avs->path_ac + 1; - } - else { - start = avs->path_sf; - end = avs->path_ef; - } - - if (start > end) { - SWAP(int, start, end); - } - - CLAMP(start, mpath->start_frame, mpath->end_frame); - CLAMP(end, mpath->start_frame, mpath->end_frame); - - *r_start = start; - *r_end = end; - *r_step = max_ii(avs->path_step, 1); + int start, end; + + if (avs->path_type == MOTIONPATH_TYPE_ACFRA) { + start = current_frame - avs->path_bc; + end = current_frame + avs->path_ac + 1; + } + else { + start = avs->path_sf; + end = avs->path_ef; + } + + if (start > end) { + SWAP(int, start, end); + } + + CLAMP(start, mpath->start_frame, mpath->end_frame); + CLAMP(end, mpath->start_frame, mpath->end_frame); + + *r_start = start; + *r_end = end; + *r_step = max_ii(avs->path_step, 1); } static void MPATH_cache_motion_path(MPATH_PassList *psl, - Object *ob, bPoseChannel *pchan, - bAnimVizSettings *avs, bMotionPath *mpath) + Object *ob, + bPoseChannel *pchan, + bAnimVizSettings *avs, + bMotionPath *mpath) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - struct DRWTextStore *dt = DRW_text_cache_ensure(); - int txt_flag = DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_ASCII; - int cfra = (int)DEG_get_ctime(draw_ctx->depsgraph); - bool sel = (pchan) ? (pchan->bone->flag & BONE_SELECTED) : (ob->flag & SELECT); - bool show_keyframes = (avs->path_viewflag & MOTIONPATH_VIEW_KFRAS) != 0; - - int sfra, efra, stepsize; - MPATH_get_frame_range_to_draw(avs, mpath, cfra, &sfra, &efra, &stepsize); - - int len = efra - sfra; - if (len == 0) { - return; - } - int start_index = sfra - mpath->start_frame; - - bool use_custom_col = (mpath->flag & MOTIONPATH_FLAG_CUSTOM) != 0; - - /* draw curve-line of path */ - /* Draw lines only if line drawing option is enabled */ - if (mpath->flag & MOTIONPATH_FLAG_LINES) { - DRWShadingGroup *shgrp = DRW_shgroup_create(mpath_line_shader_get(), psl->lines); - DRW_shgroup_uniform_int_copy(shgrp, "frameCurrent", cfra); - DRW_shgroup_uniform_int_copy(shgrp, "frameStart", sfra); - DRW_shgroup_uniform_int_copy(shgrp, "frameEnd", efra); - DRW_shgroup_uniform_int_copy(shgrp, "cacheStart", mpath->start_frame); - DRW_shgroup_uniform_int_copy(shgrp, "lineThickness", mpath->line_thickness); - DRW_shgroup_uniform_bool_copy(shgrp, "selected", sel); - DRW_shgroup_uniform_bool_copy(shgrp, "useCustomColor", use_custom_col); - DRW_shgroup_uniform_vec2(shgrp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (use_custom_col) { - DRW_shgroup_uniform_vec3(shgrp, "customColor", mpath->color, 1); - } - /* Only draw the required range. */ - DRW_shgroup_call_range_add(shgrp, mpath_batch_line_get(mpath), NULL, start_index, len); - } - - /* Draw points. */ - DRWShadingGroup *shgrp = DRW_shgroup_create(mpath_points_shader_get(), psl->points); - DRW_shgroup_uniform_int_copy(shgrp, "frameCurrent", cfra); - DRW_shgroup_uniform_int_copy(shgrp, "cacheStart", mpath->start_frame); - DRW_shgroup_uniform_int_copy(shgrp, "pointSize", max_ii(mpath->line_thickness - 1, 1)); - DRW_shgroup_uniform_int_copy(shgrp, "stepSize", stepsize); - DRW_shgroup_uniform_bool_copy(shgrp, "showKeyFrames", show_keyframes); - DRW_shgroup_uniform_bool_copy(shgrp, "useCustomColor", use_custom_col); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (use_custom_col) { - DRW_shgroup_uniform_vec3(shgrp, "customColor", mpath->color, 1); - } - /* Only draw the required range. */ - DRW_shgroup_call_range_add(shgrp, mpath_batch_points_get(mpath), NULL, start_index, len); - - /* Draw frame numbers at each framestep value */ - bool show_kf_no = (avs->path_viewflag & MOTIONPATH_VIEW_KFNOS) != 0; - if ((avs->path_viewflag & (MOTIONPATH_VIEW_FNUMS)) || (show_kf_no && show_keyframes)) { - int i; - uchar col[4], col_kf[4]; - UI_GetThemeColor3ubv(TH_TEXT_HI, col); - UI_GetThemeColor3ubv(TH_VERTEX_SELECT, col_kf); - col[3] = col_kf[3] = 255; - - bMotionPathVert *mpv; - bMotionPathVert *mpv_start = mpath->points + start_index; - for (i = 0, mpv = mpv_start; i < len; i += stepsize, mpv += stepsize) { - int frame = sfra + i; - char numstr[32]; - size_t numstr_len; - bool is_keyframe = (mpv->flag & MOTIONPATH_VERT_KEY) != 0; - - if ((show_keyframes && show_kf_no && is_keyframe) || - ((avs->path_viewflag & MOTIONPATH_VIEW_FNUMS) && (i == 0))) - { - numstr_len = sprintf(numstr, " %d", frame); - DRW_text_cache_add(dt, mpv->co, numstr, numstr_len, 0, 0, txt_flag, (is_keyframe) ? col_kf : col); - } - else if (avs->path_viewflag & MOTIONPATH_VIEW_FNUMS) { - bMotionPathVert *mpvP = (mpv - stepsize); - bMotionPathVert *mpvN = (mpv + stepsize); - /* only draw framenum if several consecutive highlighted points don't occur on same point */ - if ((equals_v3v3(mpv->co, mpvP->co) == 0) || (equals_v3v3(mpv->co, mpvN->co) == 0)) { - numstr_len = sprintf(numstr, " %d", frame); - DRW_text_cache_add(dt, mpv->co, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + struct DRWTextStore *dt = DRW_text_cache_ensure(); + int txt_flag = DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_ASCII; + int cfra = (int)DEG_get_ctime(draw_ctx->depsgraph); + bool sel = (pchan) ? (pchan->bone->flag & BONE_SELECTED) : (ob->flag & SELECT); + bool show_keyframes = (avs->path_viewflag & MOTIONPATH_VIEW_KFRAS) != 0; + + int sfra, efra, stepsize; + MPATH_get_frame_range_to_draw(avs, mpath, cfra, &sfra, &efra, &stepsize); + + int len = efra - sfra; + if (len == 0) { + return; + } + int start_index = sfra - mpath->start_frame; + + bool use_custom_col = (mpath->flag & MOTIONPATH_FLAG_CUSTOM) != 0; + + /* draw curve-line of path */ + /* Draw lines only if line drawing option is enabled */ + if (mpath->flag & MOTIONPATH_FLAG_LINES) { + DRWShadingGroup *shgrp = DRW_shgroup_create(mpath_line_shader_get(), psl->lines); + DRW_shgroup_uniform_int_copy(shgrp, "frameCurrent", cfra); + DRW_shgroup_uniform_int_copy(shgrp, "frameStart", sfra); + DRW_shgroup_uniform_int_copy(shgrp, "frameEnd", efra); + DRW_shgroup_uniform_int_copy(shgrp, "cacheStart", mpath->start_frame); + DRW_shgroup_uniform_int_copy(shgrp, "lineThickness", mpath->line_thickness); + DRW_shgroup_uniform_bool_copy(shgrp, "selected", sel); + DRW_shgroup_uniform_bool_copy(shgrp, "useCustomColor", use_custom_col); + DRW_shgroup_uniform_vec2(shgrp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (use_custom_col) { + DRW_shgroup_uniform_vec3(shgrp, "customColor", mpath->color, 1); + } + /* Only draw the required range. */ + DRW_shgroup_call_range_add(shgrp, mpath_batch_line_get(mpath), NULL, start_index, len); + } + + /* Draw points. */ + DRWShadingGroup *shgrp = DRW_shgroup_create(mpath_points_shader_get(), psl->points); + DRW_shgroup_uniform_int_copy(shgrp, "frameCurrent", cfra); + DRW_shgroup_uniform_int_copy(shgrp, "cacheStart", mpath->start_frame); + DRW_shgroup_uniform_int_copy(shgrp, "pointSize", max_ii(mpath->line_thickness - 1, 1)); + DRW_shgroup_uniform_int_copy(shgrp, "stepSize", stepsize); + DRW_shgroup_uniform_bool_copy(shgrp, "showKeyFrames", show_keyframes); + DRW_shgroup_uniform_bool_copy(shgrp, "useCustomColor", use_custom_col); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (use_custom_col) { + DRW_shgroup_uniform_vec3(shgrp, "customColor", mpath->color, 1); + } + /* Only draw the required range. */ + DRW_shgroup_call_range_add(shgrp, mpath_batch_points_get(mpath), NULL, start_index, len); + + /* Draw frame numbers at each framestep value */ + bool show_kf_no = (avs->path_viewflag & MOTIONPATH_VIEW_KFNOS) != 0; + if ((avs->path_viewflag & (MOTIONPATH_VIEW_FNUMS)) || (show_kf_no && show_keyframes)) { + int i; + uchar col[4], col_kf[4]; + UI_GetThemeColor3ubv(TH_TEXT_HI, col); + UI_GetThemeColor3ubv(TH_VERTEX_SELECT, col_kf); + col[3] = col_kf[3] = 255; + + bMotionPathVert *mpv; + bMotionPathVert *mpv_start = mpath->points + start_index; + for (i = 0, mpv = mpv_start; i < len; i += stepsize, mpv += stepsize) { + int frame = sfra + i; + char numstr[32]; + size_t numstr_len; + bool is_keyframe = (mpv->flag & MOTIONPATH_VERT_KEY) != 0; + + if ((show_keyframes && show_kf_no && is_keyframe) || + ((avs->path_viewflag & MOTIONPATH_VIEW_FNUMS) && (i == 0))) { + numstr_len = sprintf(numstr, " %d", frame); + DRW_text_cache_add( + dt, mpv->co, numstr, numstr_len, 0, 0, txt_flag, (is_keyframe) ? col_kf : col); + } + else if (avs->path_viewflag & MOTIONPATH_VIEW_FNUMS) { + bMotionPathVert *mpvP = (mpv - stepsize); + bMotionPathVert *mpvN = (mpv + stepsize); + /* only draw framenum if several consecutive highlighted points don't occur on same point */ + if ((equals_v3v3(mpv->co, mpvP->co) == 0) || (equals_v3v3(mpv->co, mpvN->co) == 0)) { + numstr_len = sprintf(numstr, " %d", frame); + DRW_text_cache_add(dt, mpv->co, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + } } /* Add geometry to shading groups. Execute for each objects */ static void MPATH_cache_populate(void *vedata, Object *ob) { - MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - if (draw_ctx->v3d->overlay.flag & V3D_OVERLAY_HIDE_MOTION_PATHS) { - return; - } - - if (ob->type == OB_ARMATURE) { - if (DRW_pose_mode_armature(ob, draw_ctx->obact)) { - for (bPoseChannel *pchan = ob->pose->chanbase.first; pchan; pchan = pchan->next) { - if (pchan->mpath) { - MPATH_cache_motion_path(psl, ob, pchan, &ob->pose->avs, pchan->mpath); - } - } - } - } - else { - if (ob->mpath) { - MPATH_cache_motion_path(psl, ob, NULL, &ob->avs, ob->mpath); - } - } + MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (draw_ctx->v3d->overlay.flag & V3D_OVERLAY_HIDE_MOTION_PATHS) { + return; + } + + if (ob->type == OB_ARMATURE) { + if (DRW_pose_mode_armature(ob, draw_ctx->obact)) { + for (bPoseChannel *pchan = ob->pose->chanbase.first; pchan; pchan = pchan->next) { + if (pchan->mpath) { + MPATH_cache_motion_path(psl, ob, pchan, &ob->pose->avs, pchan->mpath); + } + } + } + } + else { + if (ob->mpath) { + MPATH_cache_motion_path(psl, ob, NULL, &ob->avs, ob->mpath); + } + } } /* Draw time! Control rendering pipeline from here */ static void MPATH_draw_scene(void *vedata) { - MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + MPATH_PassList *psl = ((MPATH_Data *)vedata)->psl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - if (DRW_pass_is_empty(psl->lines) && - DRW_pass_is_empty(psl->points)) - { - /* Nothing to draw. */ - return; - } + if (DRW_pass_is_empty(psl->lines) && DRW_pass_is_empty(psl->points)) { + /* Nothing to draw. */ + return; + } - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - DRW_draw_pass(psl->lines); - DRW_draw_pass(psl->points); + DRW_draw_pass(psl->lines); + DRW_draw_pass(psl->points); - MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl); + MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl); } /* *************************** Draw Engine Defines ****************************** */ @@ -317,16 +320,17 @@ static void MPATH_draw_scene(void *vedata) static const DrawEngineDataSize MPATH_data_size = DRW_VIEWPORT_DATA_SIZE(MPATH_Data); DrawEngineType draw_engine_motion_path_type = { - NULL, NULL, - N_("MotionPath"), - &MPATH_data_size, - &MPATH_engine_init, - &MPATH_engine_free, - &MPATH_cache_init, - &MPATH_cache_populate, - NULL, - NULL, - &MPATH_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("MotionPath"), + &MPATH_data_size, + &MPATH_engine_init, + &MPATH_engine_free, + &MPATH_cache_init, + &MPATH_cache_populate, + NULL, + NULL, + &MPATH_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/intern/draw_armature.c b/source/blender/draw/intern/draw_armature.c index a32b4089fcf..12d4ca95a39 100644 --- a/source/blender/draw/intern/draw_armature.c +++ b/source/blender/draw/intern/draw_armature.c @@ -37,10 +37,8 @@ #include "BKE_armature.h" - #include "ED_armature.h" - #include "UI_resources.h" #include "draw_common.h" @@ -56,439 +54,458 @@ /* Reset for drawing each armature object */ static struct { - /* Current armature object */ - Object *ob; - /* Reset when changing current_armature */ - DRWShadingGroup *bone_octahedral_solid; - DRWShadingGroup *bone_octahedral_wire; - DRWShadingGroup *bone_octahedral_outline; - DRWShadingGroup *bone_box_solid; - DRWShadingGroup *bone_box_wire; - DRWShadingGroup *bone_box_outline; - DRWShadingGroup *bone_wire; - DRWShadingGroup *bone_stick; - DRWShadingGroup *bone_dof_sphere; - DRWShadingGroup *bone_dof_lines; - DRWShadingGroup *bone_envelope_solid; - DRWShadingGroup *bone_envelope_distance; - DRWShadingGroup *bone_envelope_wire; - DRWShadingGroup *bone_point_solid; - DRWShadingGroup *bone_point_wire; - DRWShadingGroup *bone_axes; - DRWShadingGroup *lines_relationship; - DRWShadingGroup *lines_ik; - DRWShadingGroup *lines_ik_no_target; - DRWShadingGroup *lines_ik_spline; - - DRWArmaturePasses passes; - - bool transparent; + /* Current armature object */ + Object *ob; + /* Reset when changing current_armature */ + DRWShadingGroup *bone_octahedral_solid; + DRWShadingGroup *bone_octahedral_wire; + DRWShadingGroup *bone_octahedral_outline; + DRWShadingGroup *bone_box_solid; + DRWShadingGroup *bone_box_wire; + DRWShadingGroup *bone_box_outline; + DRWShadingGroup *bone_wire; + DRWShadingGroup *bone_stick; + DRWShadingGroup *bone_dof_sphere; + DRWShadingGroup *bone_dof_lines; + DRWShadingGroup *bone_envelope_solid; + DRWShadingGroup *bone_envelope_distance; + DRWShadingGroup *bone_envelope_wire; + DRWShadingGroup *bone_point_solid; + DRWShadingGroup *bone_point_wire; + DRWShadingGroup *bone_axes; + DRWShadingGroup *lines_relationship; + DRWShadingGroup *lines_ik; + DRWShadingGroup *lines_ik_no_target; + DRWShadingGroup *lines_ik_spline; + + DRWArmaturePasses passes; + + bool transparent; } g_data = {NULL}; - /** * Follow `TH_*` naming except for mixed colors. */ static struct { - float select_color[4]; - float edge_select_color[4]; - float bone_select_color[4]; /* tint */ - float wire_color[4]; - float wire_edit_color[4]; - float bone_solid_color[4]; - float bone_active_unselect_color[4]; /* mix */ - float bone_pose_color[4]; - float bone_pose_active_color[4]; - float bone_pose_active_unselect_color[4]; /* mix */ - float text_hi_color[4]; - float text_color[4]; - float vertex_select_color[4]; - float vertex_color[4]; - - /* not a theme, this is an override */ - const float *const_color; - float const_wire; + float select_color[4]; + float edge_select_color[4]; + float bone_select_color[4]; /* tint */ + float wire_color[4]; + float wire_edit_color[4]; + float bone_solid_color[4]; + float bone_active_unselect_color[4]; /* mix */ + float bone_pose_color[4]; + float bone_pose_active_color[4]; + float bone_pose_active_unselect_color[4]; /* mix */ + float text_hi_color[4]; + float text_color[4]; + float vertex_select_color[4]; + float vertex_color[4]; + + /* not a theme, this is an override */ + const float *const_color; + float const_wire; } g_theme; - /* -------------------------------------------------------------------- */ /** \name Shader Groups (DRW_shgroup) * \{ */ /* Octahedral */ -static void drw_shgroup_bone_octahedral( - const float (*bone_mat)[4], - const float bone_color[4], const float hint_color[4], const float outline_color[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_octahedral(const float (*bone_mat)[4], + const float bone_color[4], + const float hint_color[4], + const float outline_color[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_octahedral_outline == NULL) { - struct GPUBatch *geom = DRW_cache_bone_octahedral_wire_get(); - g_data.bone_octahedral_outline = shgroup_instance_bone_shape_outline( - g_data.passes.bone_outline, geom, sh_cfg); - } - if (g_data.bone_octahedral_solid == NULL && - g_data.passes.bone_solid != NULL) - { - struct GPUBatch *geom = DRW_cache_bone_octahedral_get(); - g_data.bone_octahedral_solid = shgroup_instance_bone_shape_solid( - g_data.passes.bone_solid, geom, g_data.transparent, sh_cfg); - } - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - if (g_data.bone_octahedral_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_octahedral_solid, final_bonemat, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_octahedral_outline, final_bonemat, outline_color); - } + if (g_data.bone_octahedral_outline == NULL) { + struct GPUBatch *geom = DRW_cache_bone_octahedral_wire_get(); + g_data.bone_octahedral_outline = shgroup_instance_bone_shape_outline( + g_data.passes.bone_outline, geom, sh_cfg); + } + if (g_data.bone_octahedral_solid == NULL && g_data.passes.bone_solid != NULL) { + struct GPUBatch *geom = DRW_cache_bone_octahedral_get(); + g_data.bone_octahedral_solid = shgroup_instance_bone_shape_solid( + g_data.passes.bone_solid, geom, g_data.transparent, sh_cfg); + } + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + if (g_data.bone_octahedral_solid != NULL) { + DRW_shgroup_call_dynamic_add( + g_data.bone_octahedral_solid, final_bonemat, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_octahedral_outline, final_bonemat, outline_color); + } } /* Box / B-Bone */ -static void drw_shgroup_bone_box( - const float (*bone_mat)[4], - const float bone_color[4], const float hint_color[4], const float outline_color[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_box(const float (*bone_mat)[4], + const float bone_color[4], + const float hint_color[4], + const float outline_color[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_box_wire == NULL) { - struct GPUBatch *geom = DRW_cache_bone_box_wire_get(); - g_data.bone_box_outline = shgroup_instance_bone_shape_outline( - g_data.passes.bone_outline, geom, sh_cfg); - } - if (g_data.bone_box_solid == NULL && - g_data.passes.bone_solid != NULL) - { - struct GPUBatch *geom = DRW_cache_bone_box_get(); - g_data.bone_box_solid = shgroup_instance_bone_shape_solid( - g_data.passes.bone_solid, geom, g_data.transparent, sh_cfg); - } - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - if (g_data.bone_box_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_box_solid, final_bonemat, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_box_outline, final_bonemat, outline_color); - } + if (g_data.bone_box_wire == NULL) { + struct GPUBatch *geom = DRW_cache_bone_box_wire_get(); + g_data.bone_box_outline = shgroup_instance_bone_shape_outline( + g_data.passes.bone_outline, geom, sh_cfg); + } + if (g_data.bone_box_solid == NULL && g_data.passes.bone_solid != NULL) { + struct GPUBatch *geom = DRW_cache_bone_box_get(); + g_data.bone_box_solid = shgroup_instance_bone_shape_solid( + g_data.passes.bone_solid, geom, g_data.transparent, sh_cfg); + } + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + if (g_data.bone_box_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_box_solid, final_bonemat, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_box_outline, final_bonemat, outline_color); + } } /* Wire */ -static void drw_shgroup_bone_wire( - const float (*bone_mat)[4], const float color[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_wire(const float (*bone_mat)[4], + const float color[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_wire == NULL) { - g_data.bone_wire = shgroup_dynlines_flat_color(g_data.passes.bone_wire, sh_cfg); - } - float head[3], tail[3]; - mul_v3_m4v3(head, g_data.ob->obmat, bone_mat[3]); - DRW_shgroup_call_dynamic_add(g_data.bone_wire, head, color); - - add_v3_v3v3(tail, bone_mat[3], bone_mat[1]); - mul_m4_v3(g_data.ob->obmat, tail); - DRW_shgroup_call_dynamic_add(g_data.bone_wire, tail, color); + if (g_data.bone_wire == NULL) { + g_data.bone_wire = shgroup_dynlines_flat_color(g_data.passes.bone_wire, sh_cfg); + } + float head[3], tail[3]; + mul_v3_m4v3(head, g_data.ob->obmat, bone_mat[3]); + DRW_shgroup_call_dynamic_add(g_data.bone_wire, head, color); + + add_v3_v3v3(tail, bone_mat[3], bone_mat[1]); + mul_m4_v3(g_data.ob->obmat, tail); + DRW_shgroup_call_dynamic_add(g_data.bone_wire, tail, color); } /* Stick */ -static void drw_shgroup_bone_stick( - const float (*bone_mat)[4], - const float col_wire[4], const float col_bone[4], const float col_head[4], const float col_tail[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_stick(const float (*bone_mat)[4], + const float col_wire[4], + const float col_bone[4], + const float col_head[4], + const float col_tail[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_stick == NULL) { - g_data.bone_stick = shgroup_instance_bone_stick(g_data.passes.bone_wire, sh_cfg); - } - float final_bonemat[4][4], tail[4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - add_v3_v3v3(tail, final_bonemat[3], final_bonemat[1]); - DRW_shgroup_call_dynamic_add(g_data.bone_stick, final_bonemat[3], tail, col_wire, col_bone, col_head, col_tail); + if (g_data.bone_stick == NULL) { + g_data.bone_stick = shgroup_instance_bone_stick(g_data.passes.bone_wire, sh_cfg); + } + float final_bonemat[4][4], tail[4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + add_v3_v3v3(tail, final_bonemat[3], final_bonemat[1]); + DRW_shgroup_call_dynamic_add( + g_data.bone_stick, final_bonemat[3], tail, col_wire, col_bone, col_head, col_tail); } - /* Envelope */ -static void drw_shgroup_bone_envelope_distance( - const float (*bone_mat)[4], - const float *radius_head, const float *radius_tail, const float *distance, - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_envelope_distance(const float (*bone_mat)[4], + const float *radius_head, + const float *radius_tail, + const float *distance, + const eGPUShaderConfig sh_cfg) { - if (g_data.passes.bone_envelope != NULL) { - if (g_data.bone_envelope_distance == NULL) { - g_data.bone_envelope_distance = shgroup_instance_bone_envelope_distance(g_data.passes.bone_envelope, sh_cfg); - /* passes.bone_envelope should have the DRW_STATE_CULL_FRONT state enabled. */ - } - float head_sphere[4] = {0.0f, 0.0f, 0.0f, 1.0f}, tail_sphere[4] = {0.0f, 1.0f, 0.0f, 1.0f}; - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - /* We need matrix mul because we need shear applied. */ - /* NOTE: could be done in shader if that becomes a bottleneck. */ - mul_m4_v4(final_bonemat, head_sphere); - mul_m4_v4(final_bonemat, tail_sphere); - head_sphere[3] = *radius_head; - head_sphere[3] += *distance; - tail_sphere[3] = *radius_tail; - tail_sphere[3] += *distance; - DRW_shgroup_call_dynamic_add(g_data.bone_envelope_distance, head_sphere, tail_sphere, final_bonemat[0]); - } + if (g_data.passes.bone_envelope != NULL) { + if (g_data.bone_envelope_distance == NULL) { + g_data.bone_envelope_distance = shgroup_instance_bone_envelope_distance( + g_data.passes.bone_envelope, sh_cfg); + /* passes.bone_envelope should have the DRW_STATE_CULL_FRONT state enabled. */ + } + float head_sphere[4] = {0.0f, 0.0f, 0.0f, 1.0f}, tail_sphere[4] = {0.0f, 1.0f, 0.0f, 1.0f}; + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + /* We need matrix mul because we need shear applied. */ + /* NOTE: could be done in shader if that becomes a bottleneck. */ + mul_m4_v4(final_bonemat, head_sphere); + mul_m4_v4(final_bonemat, tail_sphere); + head_sphere[3] = *radius_head; + head_sphere[3] += *distance; + tail_sphere[3] = *radius_tail; + tail_sphere[3] += *distance; + DRW_shgroup_call_dynamic_add( + g_data.bone_envelope_distance, head_sphere, tail_sphere, final_bonemat[0]); + } } -static void drw_shgroup_bone_envelope( - const float (*bone_mat)[4], - const float bone_color[4], const float hint_color[4], const float outline_color[4], - const float *radius_head, const float *radius_tail, - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_envelope(const float (*bone_mat)[4], + const float bone_color[4], + const float hint_color[4], + const float outline_color[4], + const float *radius_head, + const float *radius_tail, + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_point_wire == NULL) { - g_data.bone_point_wire = shgroup_instance_bone_sphere_outline(g_data.passes.bone_wire, sh_cfg); - } - if (g_data.bone_point_solid == NULL && - g_data.passes.bone_solid != NULL) - { - g_data.bone_point_solid = shgroup_instance_bone_sphere_solid(g_data.passes.bone_solid, g_data.transparent, sh_cfg); - } - if (g_data.bone_envelope_wire == NULL) { - g_data.bone_envelope_wire = shgroup_instance_bone_envelope_outline(g_data.passes.bone_wire, sh_cfg); - } - if (g_data.bone_envelope_solid == NULL && - g_data.passes.bone_solid != NULL) - { - g_data.bone_envelope_solid = shgroup_instance_bone_envelope_solid(g_data.passes.bone_solid, g_data.transparent, sh_cfg); - /* We can have a lot of overdraw if we don't do this. Also envelope are not subject to - * inverted matrix. */ - DRW_shgroup_state_enable(g_data.bone_envelope_solid, DRW_STATE_CULL_BACK); - } - - float head_sphere[4] = {0.0f, 0.0f, 0.0f, 1.0f}, tail_sphere[4] = {0.0f, 1.0f, 0.0f, 1.0f}; - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - mul_m4_v4(final_bonemat, head_sphere); - mul_m4_v4(final_bonemat, tail_sphere); - head_sphere[3] = *radius_head; - tail_sphere[3] = *radius_tail; - - if (head_sphere[3] < 0.0f) { - /* Draw Tail only */ - float tmp[4][4] = {{0.0f}}; - tmp[0][0] = tmp[1][1] = tmp[2][2] = tail_sphere[3] / PT_DEFAULT_RAD; - tmp[3][3] = 1.0f; - copy_v3_v3(tmp[3], tail_sphere); - if (g_data.bone_point_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); - } - } - else if (tail_sphere[3] < 0.0f) { - /* Draw Head only */ - float tmp[4][4] = {{0.0f}}; - tmp[0][0] = tmp[1][1] = tmp[2][2] = head_sphere[3] / PT_DEFAULT_RAD; - tmp[3][3] = 1.0f; - copy_v3_v3(tmp[3], head_sphere); - if (g_data.bone_point_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); - } - } - else { - /* Draw Body */ - float tmp_sphere[4]; - float len = len_v3v3(tail_sphere, head_sphere); - float fac_head = (len - head_sphere[3]) / len; - float fac_tail = (len - tail_sphere[3]) / len; - - /* Small epsilon to avoid problem with float precision in shader. */ - if (len > (tail_sphere[3] + head_sphere[3]) + 1e-8f) { - - copy_v4_v4(tmp_sphere, head_sphere); - interp_v4_v4v4(head_sphere, tail_sphere, head_sphere, fac_head); - interp_v4_v4v4(tail_sphere, tmp_sphere, tail_sphere, fac_tail); - if (g_data.bone_envelope_solid != NULL) { - DRW_shgroup_call_dynamic_add( - g_data.bone_envelope_solid, head_sphere, tail_sphere, bone_color, hint_color, final_bonemat[0]); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add( - g_data.bone_envelope_wire, head_sphere, tail_sphere, outline_color, final_bonemat[0]); - } - } - else { - float tmp[4][4] = {{0.0f}}; - float fac = max_ff(fac_head, 1.0f - fac_tail); - interp_v4_v4v4(tmp_sphere, tail_sphere, head_sphere, clamp_f(fac, 0.0f, 1.0f)); - tmp[0][0] = tmp[1][1] = tmp[2][2] = tmp_sphere[3] / PT_DEFAULT_RAD; - tmp[3][3] = 1.0f; - copy_v3_v3(tmp[3], tmp_sphere); - if (g_data.bone_point_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); - } - } - } + if (g_data.bone_point_wire == NULL) { + g_data.bone_point_wire = shgroup_instance_bone_sphere_outline(g_data.passes.bone_wire, sh_cfg); + } + if (g_data.bone_point_solid == NULL && g_data.passes.bone_solid != NULL) { + g_data.bone_point_solid = shgroup_instance_bone_sphere_solid( + g_data.passes.bone_solid, g_data.transparent, sh_cfg); + } + if (g_data.bone_envelope_wire == NULL) { + g_data.bone_envelope_wire = shgroup_instance_bone_envelope_outline(g_data.passes.bone_wire, + sh_cfg); + } + if (g_data.bone_envelope_solid == NULL && g_data.passes.bone_solid != NULL) { + g_data.bone_envelope_solid = shgroup_instance_bone_envelope_solid( + g_data.passes.bone_solid, g_data.transparent, sh_cfg); + /* We can have a lot of overdraw if we don't do this. Also envelope are not subject to + * inverted matrix. */ + DRW_shgroup_state_enable(g_data.bone_envelope_solid, DRW_STATE_CULL_BACK); + } + + float head_sphere[4] = {0.0f, 0.0f, 0.0f, 1.0f}, tail_sphere[4] = {0.0f, 1.0f, 0.0f, 1.0f}; + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + mul_m4_v4(final_bonemat, head_sphere); + mul_m4_v4(final_bonemat, tail_sphere); + head_sphere[3] = *radius_head; + tail_sphere[3] = *radius_tail; + + if (head_sphere[3] < 0.0f) { + /* Draw Tail only */ + float tmp[4][4] = {{0.0f}}; + tmp[0][0] = tmp[1][1] = tmp[2][2] = tail_sphere[3] / PT_DEFAULT_RAD; + tmp[3][3] = 1.0f; + copy_v3_v3(tmp[3], tail_sphere); + if (g_data.bone_point_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); + } + } + else if (tail_sphere[3] < 0.0f) { + /* Draw Head only */ + float tmp[4][4] = {{0.0f}}; + tmp[0][0] = tmp[1][1] = tmp[2][2] = head_sphere[3] / PT_DEFAULT_RAD; + tmp[3][3] = 1.0f; + copy_v3_v3(tmp[3], head_sphere); + if (g_data.bone_point_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); + } + } + else { + /* Draw Body */ + float tmp_sphere[4]; + float len = len_v3v3(tail_sphere, head_sphere); + float fac_head = (len - head_sphere[3]) / len; + float fac_tail = (len - tail_sphere[3]) / len; + + /* Small epsilon to avoid problem with float precision in shader. */ + if (len > (tail_sphere[3] + head_sphere[3]) + 1e-8f) { + + copy_v4_v4(tmp_sphere, head_sphere); + interp_v4_v4v4(head_sphere, tail_sphere, head_sphere, fac_head); + interp_v4_v4v4(tail_sphere, tmp_sphere, tail_sphere, fac_tail); + if (g_data.bone_envelope_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_envelope_solid, + head_sphere, + tail_sphere, + bone_color, + hint_color, + final_bonemat[0]); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add( + g_data.bone_envelope_wire, head_sphere, tail_sphere, outline_color, final_bonemat[0]); + } + } + else { + float tmp[4][4] = {{0.0f}}; + float fac = max_ff(fac_head, 1.0f - fac_tail); + interp_v4_v4v4(tmp_sphere, tail_sphere, head_sphere, clamp_f(fac, 0.0f, 1.0f)); + tmp[0][0] = tmp[1][1] = tmp[2][2] = tmp_sphere[3] / PT_DEFAULT_RAD; + tmp[3][3] = 1.0f; + copy_v3_v3(tmp[3], tmp_sphere); + if (g_data.bone_point_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, tmp, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, tmp, outline_color); + } + } + } } /* Custom (geometry) */ extern void drw_batch_cache_generate_requested(Object *custom); -static void drw_shgroup_bone_custom_solid( - const float (*bone_mat)[4], - const float bone_color[4], const float hint_color[4], const float outline_color[4], - const eGPUShaderConfig sh_cfg, Object *custom) +static void drw_shgroup_bone_custom_solid(const float (*bone_mat)[4], + const float bone_color[4], + const float hint_color[4], + const float outline_color[4], + const eGPUShaderConfig sh_cfg, + Object *custom) { - /* grr, not re-using instances! */ - struct GPUBatch *surf = DRW_cache_object_surface_get(custom); - struct GPUBatch *edges = DRW_cache_object_edge_detection_get(custom, NULL); - struct GPUBatch *ledges = DRW_cache_object_loose_edges_get(custom); - float final_bonemat[4][4]; - - /* XXXXXXX needs to be moved elsewhere. */ - drw_batch_cache_generate_requested(custom); - - if (surf || edges || ledges) { - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - } - - if (surf && g_data.passes.bone_solid != NULL) { - DRWShadingGroup *shgrp_geom_solid = shgroup_instance_bone_shape_solid( - g_data.passes.bone_solid, surf, g_data.transparent, sh_cfg); - DRW_shgroup_call_dynamic_add(shgrp_geom_solid, final_bonemat, bone_color, hint_color); - } - - if (edges && outline_color[3] > 0.0f) { - DRWShadingGroup *shgrp_geom_wire = shgroup_instance_bone_shape_outline( - g_data.passes.bone_outline, edges, sh_cfg); - DRW_shgroup_call_dynamic_add(shgrp_geom_wire, final_bonemat, outline_color); - } - - if (ledges) { - DRWShadingGroup *shgrp_geom_ledges = shgroup_instance_wire(g_data.passes.bone_wire, ledges); - float final_color[4]; - copy_v3_v3(final_color, outline_color); - final_color[3] = 1.0f; /* hack */ - DRW_shgroup_call_dynamic_add(shgrp_geom_ledges, final_bonemat, final_color); - } + /* grr, not re-using instances! */ + struct GPUBatch *surf = DRW_cache_object_surface_get(custom); + struct GPUBatch *edges = DRW_cache_object_edge_detection_get(custom, NULL); + struct GPUBatch *ledges = DRW_cache_object_loose_edges_get(custom); + float final_bonemat[4][4]; + + /* XXXXXXX needs to be moved elsewhere. */ + drw_batch_cache_generate_requested(custom); + + if (surf || edges || ledges) { + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + } + + if (surf && g_data.passes.bone_solid != NULL) { + DRWShadingGroup *shgrp_geom_solid = shgroup_instance_bone_shape_solid( + g_data.passes.bone_solid, surf, g_data.transparent, sh_cfg); + DRW_shgroup_call_dynamic_add(shgrp_geom_solid, final_bonemat, bone_color, hint_color); + } + + if (edges && outline_color[3] > 0.0f) { + DRWShadingGroup *shgrp_geom_wire = shgroup_instance_bone_shape_outline( + g_data.passes.bone_outline, edges, sh_cfg); + DRW_shgroup_call_dynamic_add(shgrp_geom_wire, final_bonemat, outline_color); + } + + if (ledges) { + DRWShadingGroup *shgrp_geom_ledges = shgroup_instance_wire(g_data.passes.bone_wire, ledges); + float final_color[4]; + copy_v3_v3(final_color, outline_color); + final_color[3] = 1.0f; /* hack */ + DRW_shgroup_call_dynamic_add(shgrp_geom_ledges, final_bonemat, final_color); + } } -static void drw_shgroup_bone_custom_wire( - const float (*bone_mat)[4], - const float color[4], Object *custom) +static void drw_shgroup_bone_custom_wire(const float (*bone_mat)[4], + const float color[4], + Object *custom) { - /* grr, not re-using instances! */ - struct GPUBatch *geom = DRW_cache_object_all_edges_get(custom); - - /* XXXXXXX needs to be moved elsewhere. */ - drw_batch_cache_generate_requested(custom); - - if (geom) { - DRWShadingGroup *shgrp_geom_wire = shgroup_instance_wire(g_data.passes.bone_wire, geom); - float final_bonemat[4][4], final_color[4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - copy_v3_v3(final_color, color); - final_color[3] = 1.0f; /* hack */ - DRW_shgroup_call_dynamic_add(shgrp_geom_wire, final_bonemat, final_color); - } + /* grr, not re-using instances! */ + struct GPUBatch *geom = DRW_cache_object_all_edges_get(custom); + + /* XXXXXXX needs to be moved elsewhere. */ + drw_batch_cache_generate_requested(custom); + + if (geom) { + DRWShadingGroup *shgrp_geom_wire = shgroup_instance_wire(g_data.passes.bone_wire, geom); + float final_bonemat[4][4], final_color[4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + copy_v3_v3(final_color, color); + final_color[3] = 1.0f; /* hack */ + DRW_shgroup_call_dynamic_add(shgrp_geom_wire, final_bonemat, final_color); + } } /* Head and tail sphere */ -static void drw_shgroup_bone_point( - const float (*bone_mat)[4], - const float bone_color[4], const float hint_color[4], const float outline_color[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_point(const float (*bone_mat)[4], + const float bone_color[4], + const float hint_color[4], + const float outline_color[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_point_wire == NULL) { - g_data.bone_point_wire = shgroup_instance_bone_sphere_outline(g_data.passes.bone_wire, sh_cfg); - } - if (g_data.bone_point_solid == NULL && - g_data.passes.bone_solid != NULL) - { - g_data.bone_point_solid = shgroup_instance_bone_sphere_solid(g_data.passes.bone_solid, g_data.transparent, sh_cfg); - } - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - if (g_data.bone_point_solid != NULL) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, final_bonemat, bone_color, hint_color); - } - if (outline_color[3] > 0.0f) { - DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, final_bonemat, outline_color); - } + if (g_data.bone_point_wire == NULL) { + g_data.bone_point_wire = shgroup_instance_bone_sphere_outline(g_data.passes.bone_wire, sh_cfg); + } + if (g_data.bone_point_solid == NULL && g_data.passes.bone_solid != NULL) { + g_data.bone_point_solid = shgroup_instance_bone_sphere_solid( + g_data.passes.bone_solid, g_data.transparent, sh_cfg); + } + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + if (g_data.bone_point_solid != NULL) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_solid, final_bonemat, bone_color, hint_color); + } + if (outline_color[3] > 0.0f) { + DRW_shgroup_call_dynamic_add(g_data.bone_point_wire, final_bonemat, outline_color); + } } /* Axes */ -static void drw_shgroup_bone_axes( - const float (*bone_mat)[4], const float color[4], - const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_axes(const float (*bone_mat)[4], + const float color[4], + const eGPUShaderConfig sh_cfg) { - if (g_data.bone_axes == NULL) { - g_data.bone_axes = shgroup_instance_bone_axes(g_data.passes.bone_axes, sh_cfg); - } - float final_bonemat[4][4]; - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); - DRW_shgroup_call_dynamic_add(g_data.bone_axes, final_bonemat, color); + if (g_data.bone_axes == NULL) { + g_data.bone_axes = shgroup_instance_bone_axes(g_data.passes.bone_axes, sh_cfg); + } + float final_bonemat[4][4]; + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, bone_mat); + DRW_shgroup_call_dynamic_add(g_data.bone_axes, final_bonemat, color); } /* Relationship lines */ -static void drw_shgroup_bone_relationship_lines(const float start[3], const float end[3], const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_relationship_lines(const float start[3], + const float end[3], + const eGPUShaderConfig sh_cfg) { - if (g_data.lines_relationship == NULL) { - g_data.lines_relationship = shgroup_dynlines_dashed_uniform_color( - g_data.passes.relationship_lines, g_theme.wire_color, sh_cfg); - } - /* reverse order to have less stipple overlap */ - float v[3]; - mul_v3_m4v3(v, g_data.ob->obmat, end); - DRW_shgroup_call_dynamic_add(g_data.lines_relationship, v); - mul_v3_m4v3(v, g_data.ob->obmat, start); - DRW_shgroup_call_dynamic_add(g_data.lines_relationship, v); + if (g_data.lines_relationship == NULL) { + g_data.lines_relationship = shgroup_dynlines_dashed_uniform_color( + g_data.passes.relationship_lines, g_theme.wire_color, sh_cfg); + } + /* reverse order to have less stipple overlap */ + float v[3]; + mul_v3_m4v3(v, g_data.ob->obmat, end); + DRW_shgroup_call_dynamic_add(g_data.lines_relationship, v); + mul_v3_m4v3(v, g_data.ob->obmat, start); + DRW_shgroup_call_dynamic_add(g_data.lines_relationship, v); } -static void drw_shgroup_bone_ik_lines(const float start[3], const float end[3], const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_ik_lines(const float start[3], + const float end[3], + const eGPUShaderConfig sh_cfg) { - if (g_data.lines_ik == NULL) { - static float fcolor[4] = {0.8f, 0.5f, 0.0f, 1.0f}; /* add theme! */ - g_data.lines_ik = shgroup_dynlines_dashed_uniform_color(g_data.passes.relationship_lines, fcolor, sh_cfg); - } - /* reverse order to have less stipple overlap */ - float v[3]; - mul_v3_m4v3(v, g_data.ob->obmat, end); - DRW_shgroup_call_dynamic_add(g_data.lines_ik, v); - mul_v3_m4v3(v, g_data.ob->obmat, start); - DRW_shgroup_call_dynamic_add(g_data.lines_ik, v); + if (g_data.lines_ik == NULL) { + static float fcolor[4] = {0.8f, 0.5f, 0.0f, 1.0f}; /* add theme! */ + g_data.lines_ik = shgroup_dynlines_dashed_uniform_color( + g_data.passes.relationship_lines, fcolor, sh_cfg); + } + /* reverse order to have less stipple overlap */ + float v[3]; + mul_v3_m4v3(v, g_data.ob->obmat, end); + DRW_shgroup_call_dynamic_add(g_data.lines_ik, v); + mul_v3_m4v3(v, g_data.ob->obmat, start); + DRW_shgroup_call_dynamic_add(g_data.lines_ik, v); } -static void drw_shgroup_bone_ik_no_target_lines(const float start[3], const float end[3], const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_ik_no_target_lines(const float start[3], + const float end[3], + const eGPUShaderConfig sh_cfg) { - if (g_data.lines_ik_no_target == NULL) { - static float fcolor[4] = {0.8f, 0.8f, 0.2f, 1.0f}; /* add theme! */ - g_data.lines_ik_no_target = shgroup_dynlines_dashed_uniform_color(g_data.passes.relationship_lines, fcolor, sh_cfg); - } - /* reverse order to have less stipple overlap */ - float v[3]; - mul_v3_m4v3(v, g_data.ob->obmat, end); - DRW_shgroup_call_dynamic_add(g_data.lines_ik_no_target, v); - mul_v3_m4v3(v, g_data.ob->obmat, start); - DRW_shgroup_call_dynamic_add(g_data.lines_ik_no_target, v); + if (g_data.lines_ik_no_target == NULL) { + static float fcolor[4] = {0.8f, 0.8f, 0.2f, 1.0f}; /* add theme! */ + g_data.lines_ik_no_target = shgroup_dynlines_dashed_uniform_color( + g_data.passes.relationship_lines, fcolor, sh_cfg); + } + /* reverse order to have less stipple overlap */ + float v[3]; + mul_v3_m4v3(v, g_data.ob->obmat, end); + DRW_shgroup_call_dynamic_add(g_data.lines_ik_no_target, v); + mul_v3_m4v3(v, g_data.ob->obmat, start); + DRW_shgroup_call_dynamic_add(g_data.lines_ik_no_target, v); } -static void drw_shgroup_bone_ik_spline_lines(const float start[3], const float end[3], const eGPUShaderConfig sh_cfg) +static void drw_shgroup_bone_ik_spline_lines(const float start[3], + const float end[3], + const eGPUShaderConfig sh_cfg) { - if (g_data.lines_ik_spline == NULL) { - static float fcolor[4] = {0.8f, 0.8f, 0.2f, 1.0f}; /* add theme! */ - g_data.lines_ik_spline = shgroup_dynlines_dashed_uniform_color(g_data.passes.relationship_lines, fcolor, sh_cfg); - } - /* reverse order to have less stipple overlap */ - float v[3]; - mul_v3_m4v3(v, g_data.ob->obmat, end); - DRW_shgroup_call_dynamic_add(g_data.lines_ik_spline, v); - mul_v3_m4v3(v, g_data.ob->obmat, start); - DRW_shgroup_call_dynamic_add(g_data.lines_ik_spline, v); + if (g_data.lines_ik_spline == NULL) { + static float fcolor[4] = {0.8f, 0.8f, 0.2f, 1.0f}; /* add theme! */ + g_data.lines_ik_spline = shgroup_dynlines_dashed_uniform_color( + g_data.passes.relationship_lines, fcolor, sh_cfg); + } + /* reverse order to have less stipple overlap */ + float v[3]; + mul_v3_m4v3(v, g_data.ob->obmat, end); + DRW_shgroup_call_dynamic_add(g_data.lines_ik_spline, v); + mul_v3_m4v3(v, g_data.ob->obmat, start); + DRW_shgroup_call_dynamic_add(g_data.lines_ik_spline, v); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Drawing Theme Helpers * @@ -498,263 +515,276 @@ static void drw_shgroup_bone_ik_spline_lines(const float start[3], const float e /* global here is reset before drawing each bone */ static struct { - const ThemeWireColor *bcolor; + const ThemeWireColor *bcolor; } g_color; /* values of colCode for set_pchan_color */ enum { - PCHAN_COLOR_NORMAL = 0, /* normal drawing */ - PCHAN_COLOR_SOLID, /* specific case where "solid" color is needed */ - PCHAN_COLOR_CONSTS, /* "constraint" colors (which may/may-not be suppressed) */ + PCHAN_COLOR_NORMAL = 0, /* normal drawing */ + PCHAN_COLOR_SOLID, /* specific case where "solid" color is needed */ + PCHAN_COLOR_CONSTS, /* "constraint" colors (which may/may-not be suppressed) */ - PCHAN_COLOR_SPHEREBONE_BASE, /* for the 'stick' of sphere (envelope) bones */ - PCHAN_COLOR_SPHEREBONE_END, /* for the ends of sphere (envelope) bones */ - PCHAN_COLOR_LINEBONE, /* for the middle of line-bones */ + PCHAN_COLOR_SPHEREBONE_BASE, /* for the 'stick' of sphere (envelope) bones */ + PCHAN_COLOR_SPHEREBONE_END, /* for the ends of sphere (envelope) bones */ + PCHAN_COLOR_LINEBONE, /* for the middle of line-bones */ }; /* This function sets the color-set for coloring a certain bone */ static void set_pchan_colorset(Object *ob, bPoseChannel *pchan) { - bPose *pose = (ob) ? ob->pose : NULL; - bArmature *arm = (ob) ? ob->data : NULL; - bActionGroup *grp = NULL; - short color_index = 0; - - /* sanity check */ - if (ELEM(NULL, ob, arm, pose, pchan)) { - g_color.bcolor = NULL; - return; - } - - /* only try to set custom color if enabled for armature */ - if (arm->flag & ARM_COL_CUSTOM) { - /* currently, a bone can only use a custom color set if it's group (if it has one), - * has been set to use one - */ - if (pchan->agrp_index) { - grp = (bActionGroup *)BLI_findlink(&pose->agroups, (pchan->agrp_index - 1)); - if (grp) { - color_index = grp->customCol; - } - } - } - - /* bcolor is a pointer to the color set to use. If NULL, then the default - * color set (based on the theme colors for 3d-view) is used. - */ - if (color_index > 0) { - bTheme *btheme = UI_GetTheme(); - g_color.bcolor = &btheme->tarm[(color_index - 1)]; - } - else if (color_index == -1) { - /* use the group's own custom color set (grp is always != NULL here) */ - g_color.bcolor = &grp->cs; - } - else { - g_color.bcolor = NULL; - } + bPose *pose = (ob) ? ob->pose : NULL; + bArmature *arm = (ob) ? ob->data : NULL; + bActionGroup *grp = NULL; + short color_index = 0; + + /* sanity check */ + if (ELEM(NULL, ob, arm, pose, pchan)) { + g_color.bcolor = NULL; + return; + } + + /* only try to set custom color if enabled for armature */ + if (arm->flag & ARM_COL_CUSTOM) { + /* currently, a bone can only use a custom color set if it's group (if it has one), + * has been set to use one + */ + if (pchan->agrp_index) { + grp = (bActionGroup *)BLI_findlink(&pose->agroups, (pchan->agrp_index - 1)); + if (grp) { + color_index = grp->customCol; + } + } + } + + /* bcolor is a pointer to the color set to use. If NULL, then the default + * color set (based on the theme colors for 3d-view) is used. + */ + if (color_index > 0) { + bTheme *btheme = UI_GetTheme(); + g_color.bcolor = &btheme->tarm[(color_index - 1)]; + } + else if (color_index == -1) { + /* use the group's own custom color set (grp is always != NULL here) */ + g_color.bcolor = &grp->cs; + } + else { + g_color.bcolor = NULL; + } } /* This function is for brightening/darkening a given color (like UI_GetThemeColorShade3ubv()) */ static void cp_shade_color3ub(uchar cp[3], const int offset) { - int r, g, b; - - r = offset + (int) cp[0]; - CLAMP(r, 0, 255); - g = offset + (int) cp[1]; - CLAMP(g, 0, 255); - b = offset + (int) cp[2]; - CLAMP(b, 0, 255); - - cp[0] = r; - cp[1] = g; - cp[2] = b; + int r, g, b; + + r = offset + (int)cp[0]; + CLAMP(r, 0, 255); + g = offset + (int)cp[1]; + CLAMP(g, 0, 255); + b = offset + (int)cp[2]; + CLAMP(b, 0, 255); + + cp[0] = r; + cp[1] = g; + cp[2] = b; } static void cp_shade_color3f(float cp[3], const float offset) { - add_v3_fl(cp, offset); - CLAMP(cp[0], 0, 255); - CLAMP(cp[1], 0, 255); - CLAMP(cp[2], 0, 255); + add_v3_fl(cp, offset); + CLAMP(cp[0], 0, 255); + CLAMP(cp[1], 0, 255); + CLAMP(cp[2], 0, 255); } - /* This function sets the gl-color for coloring a certain bone (based on bcolor) */ -static bool set_pchan_color(short colCode, const int boneflag, const short constflag, float r_color[4]) +static bool set_pchan_color(short colCode, + const int boneflag, + const short constflag, + float r_color[4]) { - float *fcolor = r_color; - const ThemeWireColor *bcolor = g_color.bcolor; - - switch (colCode) { - case PCHAN_COLOR_NORMAL: - { - if (bcolor) { - uchar cp[4] = {255}; - - if (boneflag & BONE_DRAW_ACTIVE) { - copy_v3_v3_char((char *)cp, bcolor->active); - if (!(boneflag & BONE_SELECTED)) { - cp_shade_color3ub(cp, -80); - } - } - else if (boneflag & BONE_SELECTED) { - copy_v3_v3_char((char *)cp, bcolor->select); - } - else { - /* a bit darker than solid */ - copy_v3_v3_char((char *)cp, bcolor->solid); - cp_shade_color3ub(cp, -50); - } - - rgb_uchar_to_float(fcolor, cp); - } - else { - if ((boneflag & BONE_DRAW_ACTIVE) && (boneflag & BONE_SELECTED)) { - UI_GetThemeColor4fv(TH_BONE_POSE_ACTIVE, fcolor); - } - else if (boneflag & BONE_DRAW_ACTIVE) { - UI_GetThemeColorBlendShade4fv(TH_WIRE, TH_BONE_POSE, 0.15f, 0, fcolor); - } - else if (boneflag & BONE_SELECTED) { - UI_GetThemeColor4fv(TH_BONE_POSE, fcolor); - } - else { - UI_GetThemeColor4fv(TH_WIRE, fcolor); - } - } - - return true; - } - case PCHAN_COLOR_SOLID: - { - UI_GetThemeColor4fv(TH_BONE_SOLID, fcolor); - - if (bcolor) { - float solid_bcolor[3]; - rgb_uchar_to_float(solid_bcolor, (uchar *)bcolor->solid); - interp_v3_v3v3(fcolor, fcolor, solid_bcolor, 1.0f); - } - - return true; - } - case PCHAN_COLOR_CONSTS: - { - if ((bcolor == NULL) || (bcolor->flag & TH_WIRECOLOR_CONSTCOLS)) { - uchar cp[4]; - if (constflag & PCHAN_HAS_TARGET) { rgba_char_args_set((char *)cp, 255, 150, 0, 80); } - else if (constflag & PCHAN_HAS_IK) { rgba_char_args_set((char *)cp, 255, 255, 0, 80); } - else if (constflag & PCHAN_HAS_SPLINEIK) { rgba_char_args_set((char *)cp, 200, 255, 0, 80); } - else if (constflag & PCHAN_HAS_CONST) { rgba_char_args_set((char *)cp, 0, 255, 120, 80); } - else { - return false; - } - - rgba_uchar_to_float(fcolor, cp); - - return true; - } - return false; - } - case PCHAN_COLOR_SPHEREBONE_BASE: - { - if (bcolor) { - uchar cp[4] = {255}; - - if (boneflag & BONE_DRAW_ACTIVE) { - copy_v3_v3_char((char *)cp, bcolor->active); - } - else if (boneflag & BONE_SELECTED) { - copy_v3_v3_char((char *)cp, bcolor->select); - } - else { - copy_v3_v3_char((char *)cp, bcolor->solid); - } - - rgb_uchar_to_float(fcolor, cp); - } - else { - if (boneflag & BONE_DRAW_ACTIVE) { - UI_GetThemeColorShade4fv(TH_BONE_POSE, 40, fcolor); - } - else if (boneflag & BONE_SELECTED) { - UI_GetThemeColor4fv(TH_BONE_POSE, fcolor); - } - else { - UI_GetThemeColor4fv(TH_BONE_SOLID, fcolor); - } - } - - return true; - } - case PCHAN_COLOR_SPHEREBONE_END: - { - if (bcolor) { - uchar cp[4] = {255}; - - if (boneflag & BONE_DRAW_ACTIVE) { - copy_v3_v3_char((char *)cp, bcolor->active); - cp_shade_color3ub(cp, 10); - } - else if (boneflag & BONE_SELECTED) { - copy_v3_v3_char((char *)cp, bcolor->select); - cp_shade_color3ub(cp, -30); - } - else { - copy_v3_v3_char((char *)cp, bcolor->solid); - cp_shade_color3ub(cp, -30); - } - - rgb_uchar_to_float(fcolor, cp); - } - else { - if (boneflag & BONE_DRAW_ACTIVE) { - UI_GetThemeColorShade4fv(TH_BONE_POSE, 10, fcolor); - } - else if (boneflag & BONE_SELECTED) { - UI_GetThemeColorShade4fv(TH_BONE_POSE, -30, fcolor); - } - else { - UI_GetThemeColorShade4fv(TH_BONE_SOLID, -30, fcolor); - } - } - break; - } - case PCHAN_COLOR_LINEBONE: - { - /* inner part in background color or constraint */ - if ((constflag) && ((bcolor == NULL) || (bcolor->flag & TH_WIRECOLOR_CONSTCOLS))) { - uchar cp[4]; - if (constflag & PCHAN_HAS_TARGET) { rgba_char_args_set((char *)cp, 255, 150, 0, 255); } - else if (constflag & PCHAN_HAS_IK) { rgba_char_args_set((char *)cp, 255, 255, 0, 255); } - else if (constflag & PCHAN_HAS_SPLINEIK) { rgba_char_args_set((char *)cp, 200, 255, 0, 255); } - else if (constflag & PCHAN_HAS_CONST) { rgba_char_args_set((char *)cp, 0, 255, 120, 255); } - else if (constflag) { UI_GetThemeColor4ubv(TH_BONE_POSE, cp); } /* PCHAN_HAS_ACTION */ - - rgb_uchar_to_float(fcolor, cp); - } - else { - if (bcolor) { - const char *cp = bcolor->solid; - rgb_uchar_to_float(fcolor, (uchar *)cp); - fcolor[3] = 204.f / 255.f; - } - else { - UI_GetThemeColorShade4fv(TH_BACK, -30, fcolor); - } - } - - return true; - } - } - - return false; + float *fcolor = r_color; + const ThemeWireColor *bcolor = g_color.bcolor; + + switch (colCode) { + case PCHAN_COLOR_NORMAL: { + if (bcolor) { + uchar cp[4] = {255}; + + if (boneflag & BONE_DRAW_ACTIVE) { + copy_v3_v3_char((char *)cp, bcolor->active); + if (!(boneflag & BONE_SELECTED)) { + cp_shade_color3ub(cp, -80); + } + } + else if (boneflag & BONE_SELECTED) { + copy_v3_v3_char((char *)cp, bcolor->select); + } + else { + /* a bit darker than solid */ + copy_v3_v3_char((char *)cp, bcolor->solid); + cp_shade_color3ub(cp, -50); + } + + rgb_uchar_to_float(fcolor, cp); + } + else { + if ((boneflag & BONE_DRAW_ACTIVE) && (boneflag & BONE_SELECTED)) { + UI_GetThemeColor4fv(TH_BONE_POSE_ACTIVE, fcolor); + } + else if (boneflag & BONE_DRAW_ACTIVE) { + UI_GetThemeColorBlendShade4fv(TH_WIRE, TH_BONE_POSE, 0.15f, 0, fcolor); + } + else if (boneflag & BONE_SELECTED) { + UI_GetThemeColor4fv(TH_BONE_POSE, fcolor); + } + else { + UI_GetThemeColor4fv(TH_WIRE, fcolor); + } + } + + return true; + } + case PCHAN_COLOR_SOLID: { + UI_GetThemeColor4fv(TH_BONE_SOLID, fcolor); + + if (bcolor) { + float solid_bcolor[3]; + rgb_uchar_to_float(solid_bcolor, (uchar *)bcolor->solid); + interp_v3_v3v3(fcolor, fcolor, solid_bcolor, 1.0f); + } + + return true; + } + case PCHAN_COLOR_CONSTS: { + if ((bcolor == NULL) || (bcolor->flag & TH_WIRECOLOR_CONSTCOLS)) { + uchar cp[4]; + if (constflag & PCHAN_HAS_TARGET) { + rgba_char_args_set((char *)cp, 255, 150, 0, 80); + } + else if (constflag & PCHAN_HAS_IK) { + rgba_char_args_set((char *)cp, 255, 255, 0, 80); + } + else if (constflag & PCHAN_HAS_SPLINEIK) { + rgba_char_args_set((char *)cp, 200, 255, 0, 80); + } + else if (constflag & PCHAN_HAS_CONST) { + rgba_char_args_set((char *)cp, 0, 255, 120, 80); + } + else { + return false; + } + + rgba_uchar_to_float(fcolor, cp); + + return true; + } + return false; + } + case PCHAN_COLOR_SPHEREBONE_BASE: { + if (bcolor) { + uchar cp[4] = {255}; + + if (boneflag & BONE_DRAW_ACTIVE) { + copy_v3_v3_char((char *)cp, bcolor->active); + } + else if (boneflag & BONE_SELECTED) { + copy_v3_v3_char((char *)cp, bcolor->select); + } + else { + copy_v3_v3_char((char *)cp, bcolor->solid); + } + + rgb_uchar_to_float(fcolor, cp); + } + else { + if (boneflag & BONE_DRAW_ACTIVE) { + UI_GetThemeColorShade4fv(TH_BONE_POSE, 40, fcolor); + } + else if (boneflag & BONE_SELECTED) { + UI_GetThemeColor4fv(TH_BONE_POSE, fcolor); + } + else { + UI_GetThemeColor4fv(TH_BONE_SOLID, fcolor); + } + } + + return true; + } + case PCHAN_COLOR_SPHEREBONE_END: { + if (bcolor) { + uchar cp[4] = {255}; + + if (boneflag & BONE_DRAW_ACTIVE) { + copy_v3_v3_char((char *)cp, bcolor->active); + cp_shade_color3ub(cp, 10); + } + else if (boneflag & BONE_SELECTED) { + copy_v3_v3_char((char *)cp, bcolor->select); + cp_shade_color3ub(cp, -30); + } + else { + copy_v3_v3_char((char *)cp, bcolor->solid); + cp_shade_color3ub(cp, -30); + } + + rgb_uchar_to_float(fcolor, cp); + } + else { + if (boneflag & BONE_DRAW_ACTIVE) { + UI_GetThemeColorShade4fv(TH_BONE_POSE, 10, fcolor); + } + else if (boneflag & BONE_SELECTED) { + UI_GetThemeColorShade4fv(TH_BONE_POSE, -30, fcolor); + } + else { + UI_GetThemeColorShade4fv(TH_BONE_SOLID, -30, fcolor); + } + } + break; + } + case PCHAN_COLOR_LINEBONE: { + /* inner part in background color or constraint */ + if ((constflag) && ((bcolor == NULL) || (bcolor->flag & TH_WIRECOLOR_CONSTCOLS))) { + uchar cp[4]; + if (constflag & PCHAN_HAS_TARGET) { + rgba_char_args_set((char *)cp, 255, 150, 0, 255); + } + else if (constflag & PCHAN_HAS_IK) { + rgba_char_args_set((char *)cp, 255, 255, 0, 255); + } + else if (constflag & PCHAN_HAS_SPLINEIK) { + rgba_char_args_set((char *)cp, 200, 255, 0, 255); + } + else if (constflag & PCHAN_HAS_CONST) { + rgba_char_args_set((char *)cp, 0, 255, 120, 255); + } + else if (constflag) { + UI_GetThemeColor4ubv(TH_BONE_POSE, cp); + } /* PCHAN_HAS_ACTION */ + + rgb_uchar_to_float(fcolor, cp); + } + else { + if (bcolor) { + const char *cp = bcolor->solid; + rgb_uchar_to_float(fcolor, (uchar *)cp); + fcolor[3] = 204.f / 255.f; + } + else { + UI_GetThemeColorShade4fv(TH_BACK, -30, fcolor); + } + } + + return true; + } + } + + return false; } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Drawing Color Helpers * \{ */ @@ -762,121 +792,129 @@ static bool set_pchan_color(short colCode, const int boneflag, const short const /** See: 'set_pchan_color'*/ static void update_color(const Object *ob, const float const_color[4]) { - const bArmature *arm = ob->data; - g_theme.const_color = const_color; - g_theme.const_wire = ( - ((ob->base_flag & BASE_SELECTED) || - (arm->drawtype == ARM_WIRE)) ? 1.5f : ((g_data.transparent) ? 1.0f : 0.0f)); + const bArmature *arm = ob->data; + g_theme.const_color = const_color; + g_theme.const_wire = (((ob->base_flag & BASE_SELECTED) || (arm->drawtype == ARM_WIRE)) ? + 1.5f : + ((g_data.transparent) ? 1.0f : 0.0f)); #define NO_ALPHA(c) (((c)[3] = 1.0f), (c)) - UI_GetThemeColor3fv(TH_SELECT, NO_ALPHA(g_theme.select_color)); - UI_GetThemeColor3fv(TH_EDGE_SELECT, NO_ALPHA(g_theme.edge_select_color)); - UI_GetThemeColorShade3fv(TH_EDGE_SELECT, -20, NO_ALPHA(g_theme.bone_select_color)); - UI_GetThemeColor3fv(TH_WIRE, NO_ALPHA(g_theme.wire_color)); - UI_GetThemeColor3fv(TH_WIRE_EDIT, NO_ALPHA(g_theme.wire_edit_color)); - UI_GetThemeColor3fv(TH_BONE_SOLID, NO_ALPHA(g_theme.bone_solid_color)); - UI_GetThemeColorBlendShade3fv(TH_WIRE_EDIT, TH_EDGE_SELECT, 0.15f, 0, NO_ALPHA(g_theme.bone_active_unselect_color)); - UI_GetThemeColor3fv(TH_BONE_POSE, NO_ALPHA(g_theme.bone_pose_color)); - UI_GetThemeColor3fv(TH_BONE_POSE_ACTIVE, NO_ALPHA(g_theme.bone_pose_active_color)); - UI_GetThemeColorBlendShade3fv(TH_WIRE, TH_BONE_POSE, 0.15f, 0, NO_ALPHA(g_theme.bone_pose_active_unselect_color)); - UI_GetThemeColor3fv(TH_TEXT_HI, NO_ALPHA(g_theme.text_hi_color)); - UI_GetThemeColor3fv(TH_TEXT, NO_ALPHA(g_theme.text_color)); - UI_GetThemeColor3fv(TH_VERTEX_SELECT, NO_ALPHA(g_theme.vertex_select_color)); - UI_GetThemeColor3fv(TH_VERTEX, NO_ALPHA(g_theme.vertex_color)); + UI_GetThemeColor3fv(TH_SELECT, NO_ALPHA(g_theme.select_color)); + UI_GetThemeColor3fv(TH_EDGE_SELECT, NO_ALPHA(g_theme.edge_select_color)); + UI_GetThemeColorShade3fv(TH_EDGE_SELECT, -20, NO_ALPHA(g_theme.bone_select_color)); + UI_GetThemeColor3fv(TH_WIRE, NO_ALPHA(g_theme.wire_color)); + UI_GetThemeColor3fv(TH_WIRE_EDIT, NO_ALPHA(g_theme.wire_edit_color)); + UI_GetThemeColor3fv(TH_BONE_SOLID, NO_ALPHA(g_theme.bone_solid_color)); + UI_GetThemeColorBlendShade3fv( + TH_WIRE_EDIT, TH_EDGE_SELECT, 0.15f, 0, NO_ALPHA(g_theme.bone_active_unselect_color)); + UI_GetThemeColor3fv(TH_BONE_POSE, NO_ALPHA(g_theme.bone_pose_color)); + UI_GetThemeColor3fv(TH_BONE_POSE_ACTIVE, NO_ALPHA(g_theme.bone_pose_active_color)); + UI_GetThemeColorBlendShade3fv( + TH_WIRE, TH_BONE_POSE, 0.15f, 0, NO_ALPHA(g_theme.bone_pose_active_unselect_color)); + UI_GetThemeColor3fv(TH_TEXT_HI, NO_ALPHA(g_theme.text_hi_color)); + UI_GetThemeColor3fv(TH_TEXT, NO_ALPHA(g_theme.text_color)); + UI_GetThemeColor3fv(TH_VERTEX_SELECT, NO_ALPHA(g_theme.vertex_select_color)); + UI_GetThemeColor3fv(TH_VERTEX, NO_ALPHA(g_theme.vertex_color)); #undef NO_ALPHA } -static const float *get_bone_solid_color( - const EditBone *UNUSED(eBone), const bPoseChannel *pchan, const bArmature *arm, - const int boneflag, const short constflag) +static const float *get_bone_solid_color(const EditBone *UNUSED(eBone), + const bPoseChannel *pchan, + const bArmature *arm, + const int boneflag, + const short constflag) { - if (g_theme.const_color) { - return g_theme.bone_solid_color; - } - - if (arm->flag & ARM_POSEMODE) { - static float disp_color[4]; - copy_v4_v4(disp_color, pchan->draw_data->solid_color); - set_pchan_color(PCHAN_COLOR_SOLID, boneflag, constflag, disp_color); - return disp_color; - } - - return g_theme.bone_solid_color; + if (g_theme.const_color) { + return g_theme.bone_solid_color; + } + + if (arm->flag & ARM_POSEMODE) { + static float disp_color[4]; + copy_v4_v4(disp_color, pchan->draw_data->solid_color); + set_pchan_color(PCHAN_COLOR_SOLID, boneflag, constflag, disp_color); + return disp_color; + } + + return g_theme.bone_solid_color; } -static const float *get_bone_solid_with_consts_color( - const EditBone *eBone, const bPoseChannel *pchan, const bArmature *arm, - const int boneflag, const short constflag) +static const float *get_bone_solid_with_consts_color(const EditBone *eBone, + const bPoseChannel *pchan, + const bArmature *arm, + const int boneflag, + const short constflag) { - if (g_theme.const_color) { - return g_theme.bone_solid_color; - } - - const float *col = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); - - static float consts_color[4]; - if (set_pchan_color(PCHAN_COLOR_CONSTS, boneflag, constflag, consts_color)) { - interp_v3_v3v3(consts_color, col, consts_color, 0.5f); - } - else { - copy_v4_v4(consts_color, col); - } - return consts_color; + if (g_theme.const_color) { + return g_theme.bone_solid_color; + } + + const float *col = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); + + static float consts_color[4]; + if (set_pchan_color(PCHAN_COLOR_CONSTS, boneflag, constflag, consts_color)) { + interp_v3_v3v3(consts_color, col, consts_color, 0.5f); + } + else { + copy_v4_v4(consts_color, col); + } + return consts_color; } static float get_bone_wire_thickness(int boneflag) { - if (g_theme.const_color) { - return g_theme.const_wire; - } - else if (boneflag & (BONE_DRAW_ACTIVE | BONE_SELECTED)) { - return 2.0f; - } - else { - return 1.0f; - } + if (g_theme.const_color) { + return g_theme.const_wire; + } + else if (boneflag & (BONE_DRAW_ACTIVE | BONE_SELECTED)) { + return 2.0f; + } + else { + return 1.0f; + } } -static const float *get_bone_wire_color( - const EditBone *eBone, const bPoseChannel *pchan, const bArmature *arm, - const int boneflag, const short constflag) +static const float *get_bone_wire_color(const EditBone *eBone, + const bPoseChannel *pchan, + const bArmature *arm, + const int boneflag, + const short constflag) { - static float disp_color[4]; - - if (g_theme.const_color) { - copy_v3_v3(disp_color, g_theme.const_color); - } - else if (eBone) { - if (boneflag & BONE_SELECTED) { - if (boneflag & BONE_DRAW_ACTIVE) { - copy_v3_v3(disp_color, g_theme.edge_select_color); - } - else { - copy_v3_v3(disp_color, g_theme.bone_select_color); - } - } - else { - if (boneflag & BONE_DRAW_ACTIVE) { - copy_v3_v3(disp_color, g_theme.bone_active_unselect_color); - } - else { - copy_v3_v3(disp_color, g_theme.wire_edit_color); - } - } - } - else if (arm->flag & ARM_POSEMODE) { - copy_v4_v4(disp_color, pchan->draw_data->wire_color); - set_pchan_color(PCHAN_COLOR_NORMAL, boneflag, constflag, disp_color); - } - else { - copy_v3_v3(disp_color, g_theme.vertex_color); - } - - disp_color[3] = get_bone_wire_thickness(boneflag); - - return disp_color; + static float disp_color[4]; + + if (g_theme.const_color) { + copy_v3_v3(disp_color, g_theme.const_color); + } + else if (eBone) { + if (boneflag & BONE_SELECTED) { + if (boneflag & BONE_DRAW_ACTIVE) { + copy_v3_v3(disp_color, g_theme.edge_select_color); + } + else { + copy_v3_v3(disp_color, g_theme.bone_select_color); + } + } + else { + if (boneflag & BONE_DRAW_ACTIVE) { + copy_v3_v3(disp_color, g_theme.bone_active_unselect_color); + } + else { + copy_v3_v3(disp_color, g_theme.wire_edit_color); + } + } + } + else if (arm->flag & ARM_POSEMODE) { + copy_v4_v4(disp_color, pchan->draw_data->wire_color); + set_pchan_color(PCHAN_COLOR_NORMAL, boneflag, constflag, disp_color); + } + else { + copy_v3_v3(disp_color, g_theme.vertex_color); + } + + disp_color[3] = get_bone_wire_thickness(boneflag); + + return disp_color; } #define HINT_MUL 0.5f @@ -884,820 +922,869 @@ static const float *get_bone_wire_color( static void bone_hint_color_shade(float hint_color[4], const float color[4]) { - mul_v3_v3fl(hint_color, color, HINT_MUL); - cp_shade_color3f(hint_color, -HINT_SHADE); - hint_color[3] = 1.0f; + mul_v3_v3fl(hint_color, color, HINT_MUL); + cp_shade_color3f(hint_color, -HINT_SHADE); + hint_color[3] = 1.0f; } -static const float *get_bone_hint_color( - const EditBone *eBone, const bPoseChannel *pchan, const bArmature *arm, - const int boneflag, const short constflag) +static const float *get_bone_hint_color(const EditBone *eBone, + const bPoseChannel *pchan, + const bArmature *arm, + const int boneflag, + const short constflag) { - static float hint_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + static float hint_color[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - if (g_theme.const_color) { - bone_hint_color_shade(hint_color, g_theme.bone_solid_color); - } - else { - const float *wire_color = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - bone_hint_color_shade(hint_color, wire_color); - } + if (g_theme.const_color) { + bone_hint_color_shade(hint_color, g_theme.bone_solid_color); + } + else { + const float *wire_color = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + bone_hint_color_shade(hint_color, wire_color); + } - return hint_color; + return hint_color; } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Helper Utils * \{ */ static void pchan_draw_data_init(bPoseChannel *pchan) { - if (pchan->draw_data != NULL) { - if (pchan->draw_data->bbone_matrix_len != pchan->bone->segments) { - MEM_SAFE_FREE(pchan->draw_data); - } - } - - if (pchan->draw_data == NULL) { - pchan->draw_data = MEM_mallocN(sizeof(*pchan->draw_data) + sizeof(Mat4) * pchan->bone->segments, __func__); - pchan->draw_data->bbone_matrix_len = pchan->bone->segments; - } + if (pchan->draw_data != NULL) { + if (pchan->draw_data->bbone_matrix_len != pchan->bone->segments) { + MEM_SAFE_FREE(pchan->draw_data); + } + } + + if (pchan->draw_data == NULL) { + pchan->draw_data = MEM_mallocN( + sizeof(*pchan->draw_data) + sizeof(Mat4) * pchan->bone->segments, __func__); + pchan->draw_data->bbone_matrix_len = pchan->bone->segments; + } } static void draw_bone_update_disp_matrix_default(EditBone *eBone, bPoseChannel *pchan) { - float s[4][4], ebmat[4][4]; - float length; - float (*bone_mat)[4]; - float (*disp_mat)[4]; - float (*disp_tail_mat)[4]; - - /* TODO : This should be moved to depsgraph or armature refresh - * and not be tight to the draw pass creation. - * This would refresh armature without invalidating the draw cache */ - if (pchan) { - length = pchan->bone->length; - bone_mat = pchan->pose_mat; - disp_mat = pchan->disp_mat; - disp_tail_mat = pchan->disp_tail_mat; - } - else { - eBone->length = len_v3v3(eBone->tail, eBone->head); - ED_armature_ebone_to_mat4(eBone, ebmat); - - length = eBone->length; - bone_mat = ebmat; - disp_mat = eBone->disp_mat; - disp_tail_mat = eBone->disp_tail_mat; - } - - scale_m4_fl(s, length); - mul_m4_m4m4(disp_mat, bone_mat, s); - copy_m4_m4(disp_tail_mat, disp_mat); - translate_m4(disp_tail_mat, 0.0f, 1.0f, 0.0f); + float s[4][4], ebmat[4][4]; + float length; + float(*bone_mat)[4]; + float(*disp_mat)[4]; + float(*disp_tail_mat)[4]; + + /* TODO : This should be moved to depsgraph or armature refresh + * and not be tight to the draw pass creation. + * This would refresh armature without invalidating the draw cache */ + if (pchan) { + length = pchan->bone->length; + bone_mat = pchan->pose_mat; + disp_mat = pchan->disp_mat; + disp_tail_mat = pchan->disp_tail_mat; + } + else { + eBone->length = len_v3v3(eBone->tail, eBone->head); + ED_armature_ebone_to_mat4(eBone, ebmat); + + length = eBone->length; + bone_mat = ebmat; + disp_mat = eBone->disp_mat; + disp_tail_mat = eBone->disp_tail_mat; + } + + scale_m4_fl(s, length); + mul_m4_m4m4(disp_mat, bone_mat, s); + copy_m4_m4(disp_tail_mat, disp_mat); + translate_m4(disp_tail_mat, 0.0f, 1.0f, 0.0f); } /* compute connected child pointer for B-Bone drawing */ static void edbo_compute_bbone_child(bArmature *arm) { - EditBone *eBone; + EditBone *eBone; - for (eBone = arm->edbo->first; eBone; eBone = eBone->next) { - eBone->bbone_child = NULL; - } + for (eBone = arm->edbo->first; eBone; eBone = eBone->next) { + eBone->bbone_child = NULL; + } - for (eBone = arm->edbo->first; eBone; eBone = eBone->next) { - if (eBone->parent && (eBone->flag & BONE_CONNECTED)) { - eBone->parent->bbone_child = eBone; - } - } + for (eBone = arm->edbo->first; eBone; eBone = eBone->next) { + if (eBone->parent && (eBone->flag & BONE_CONNECTED)) { + eBone->parent->bbone_child = eBone; + } + } } /* A version of BKE_pchan_bbone_spline_setup() for previewing editmode curve settings. */ static void ebone_spline_preview(EditBone *ebone, float result_array[MAX_BBONE_SUBDIV][4][4]) { - BBoneSplineParameters param; - EditBone *prev, *next; - float imat[4][4], bonemat[4][4]; - float tmp[3]; - - memset(¶m, 0, sizeof(param)); - - param.segments = ebone->segments; - param.length = ebone->length; - - /* Get "next" and "prev" bones - these are used for handle calculations. */ - if (ebone->bbone_prev_type == BBONE_HANDLE_AUTO) { - /* Use connected parent. */ - if (ebone->flag & BONE_CONNECTED) { - prev = ebone->parent; - } - else { - prev = NULL; - } - } - else { - prev = ebone->bbone_prev; - } - - if (ebone->bbone_next_type == BBONE_HANDLE_AUTO) { - /* Use connected child. */ - next = ebone->bbone_child; - } - else { - next = ebone->bbone_next; - } - - /* compute handles from connected bones */ - if (prev || next) { - ED_armature_ebone_to_mat4(ebone, imat); - invert_m4(imat); - - if (prev) { - param.use_prev = true; - - if (ebone->bbone_prev_type == BBONE_HANDLE_RELATIVE) { - zero_v3(param.prev_h); - } - else if (ebone->bbone_prev_type == BBONE_HANDLE_TANGENT) { - sub_v3_v3v3(tmp, prev->tail, prev->head); - sub_v3_v3v3(tmp, ebone->head, tmp); - mul_v3_m4v3(param.prev_h, imat, tmp); - } - else { - param.prev_bbone = (prev->segments > 1); - - mul_v3_m4v3(param.prev_h, imat, prev->head); - } - - if (!param.prev_bbone) { - ED_armature_ebone_to_mat4(prev, bonemat); - mul_m4_m4m4(param.prev_mat, imat, bonemat); - } - } - - if (next) { - param.use_next = true; - - if (ebone->bbone_next_type == BBONE_HANDLE_RELATIVE) { - copy_v3_fl3(param.next_h, 0.0f, param.length, 0.0); - } - else if (ebone->bbone_next_type == BBONE_HANDLE_TANGENT) { - sub_v3_v3v3(tmp, next->tail, next->head); - add_v3_v3v3(tmp, ebone->tail, tmp); - mul_v3_m4v3(param.next_h, imat, tmp); - } - else { - param.next_bbone = (next->segments > 1); - - mul_v3_m4v3(param.next_h, imat, next->tail); - } - - ED_armature_ebone_to_mat4(next, bonemat); - mul_m4_m4m4(param.next_mat, imat, bonemat); - } - } - - param.ease1 = ebone->ease1; - param.ease2 = ebone->ease2; - param.roll1 = ebone->roll1; - param.roll2 = ebone->roll2; - - if (prev && (ebone->flag & BONE_ADD_PARENT_END_ROLL)) { - param.roll1 += prev->roll2; - } - - param.scaleIn = ebone->scaleIn; - param.scaleOut = ebone->scaleOut; - - param.curveInX = ebone->curveInX; - param.curveInY = ebone->curveInY; - - param.curveOutX = ebone->curveOutX; - param.curveOutY = ebone->curveOutY; - - ebone->segments = BKE_pchan_bbone_spline_compute(¶m, false, (Mat4 *)result_array); + BBoneSplineParameters param; + EditBone *prev, *next; + float imat[4][4], bonemat[4][4]; + float tmp[3]; + + memset(¶m, 0, sizeof(param)); + + param.segments = ebone->segments; + param.length = ebone->length; + + /* Get "next" and "prev" bones - these are used for handle calculations. */ + if (ebone->bbone_prev_type == BBONE_HANDLE_AUTO) { + /* Use connected parent. */ + if (ebone->flag & BONE_CONNECTED) { + prev = ebone->parent; + } + else { + prev = NULL; + } + } + else { + prev = ebone->bbone_prev; + } + + if (ebone->bbone_next_type == BBONE_HANDLE_AUTO) { + /* Use connected child. */ + next = ebone->bbone_child; + } + else { + next = ebone->bbone_next; + } + + /* compute handles from connected bones */ + if (prev || next) { + ED_armature_ebone_to_mat4(ebone, imat); + invert_m4(imat); + + if (prev) { + param.use_prev = true; + + if (ebone->bbone_prev_type == BBONE_HANDLE_RELATIVE) { + zero_v3(param.prev_h); + } + else if (ebone->bbone_prev_type == BBONE_HANDLE_TANGENT) { + sub_v3_v3v3(tmp, prev->tail, prev->head); + sub_v3_v3v3(tmp, ebone->head, tmp); + mul_v3_m4v3(param.prev_h, imat, tmp); + } + else { + param.prev_bbone = (prev->segments > 1); + + mul_v3_m4v3(param.prev_h, imat, prev->head); + } + + if (!param.prev_bbone) { + ED_armature_ebone_to_mat4(prev, bonemat); + mul_m4_m4m4(param.prev_mat, imat, bonemat); + } + } + + if (next) { + param.use_next = true; + + if (ebone->bbone_next_type == BBONE_HANDLE_RELATIVE) { + copy_v3_fl3(param.next_h, 0.0f, param.length, 0.0); + } + else if (ebone->bbone_next_type == BBONE_HANDLE_TANGENT) { + sub_v3_v3v3(tmp, next->tail, next->head); + add_v3_v3v3(tmp, ebone->tail, tmp); + mul_v3_m4v3(param.next_h, imat, tmp); + } + else { + param.next_bbone = (next->segments > 1); + + mul_v3_m4v3(param.next_h, imat, next->tail); + } + + ED_armature_ebone_to_mat4(next, bonemat); + mul_m4_m4m4(param.next_mat, imat, bonemat); + } + } + + param.ease1 = ebone->ease1; + param.ease2 = ebone->ease2; + param.roll1 = ebone->roll1; + param.roll2 = ebone->roll2; + + if (prev && (ebone->flag & BONE_ADD_PARENT_END_ROLL)) { + param.roll1 += prev->roll2; + } + + param.scaleIn = ebone->scaleIn; + param.scaleOut = ebone->scaleOut; + + param.curveInX = ebone->curveInX; + param.curveInY = ebone->curveInY; + + param.curveOutX = ebone->curveOutX; + param.curveOutY = ebone->curveOutY; + + ebone->segments = BKE_pchan_bbone_spline_compute(¶m, false, (Mat4 *)result_array); } static void draw_bone_update_disp_matrix_bbone(EditBone *eBone, bPoseChannel *pchan) { - float s[4][4], ebmat[4][4]; - float length, xwidth, zwidth; - float (*bone_mat)[4]; - short bbone_segments; - - /* TODO : This should be moved to depsgraph or armature refresh - * and not be tight to the draw pass creation. - * This would refresh armature without invalidating the draw cache */ - if (pchan) { - length = pchan->bone->length; - xwidth = pchan->bone->xwidth; - zwidth = pchan->bone->zwidth; - bone_mat = pchan->pose_mat; - bbone_segments = pchan->bone->segments; - } - else { - eBone->length = len_v3v3(eBone->tail, eBone->head); - ED_armature_ebone_to_mat4(eBone, ebmat); - - length = eBone->length; - xwidth = eBone->xwidth; - zwidth = eBone->zwidth; - bone_mat = ebmat; - bbone_segments = eBone->segments; - } - - size_to_mat4(s, (const float[3]){xwidth, length / bbone_segments, zwidth}); - - /* Compute BBones segment matrices... */ - /* Note that we need this even for one-segment bones, because box drawing need specific weirdo matrix for the box, - * that we cannot use to draw end points & co. */ - if (pchan) { - Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; - if (bbone_segments > 1) { - BKE_pchan_bbone_spline_setup(pchan, false, false, bbones_mat); - - for (int i = bbone_segments; i--; bbones_mat++) { - mul_m4_m4m4(bbones_mat->mat, bbones_mat->mat, s); - mul_m4_m4m4(bbones_mat->mat, bone_mat, bbones_mat->mat); - } - } - else { - mul_m4_m4m4(bbones_mat->mat, bone_mat, s); - } - } - else { - float (*bbones_mat)[4][4] = eBone->disp_bbone_mat; - - if (bbone_segments > 1) { - ebone_spline_preview(eBone, bbones_mat); - - for (int i = bbone_segments; i--; bbones_mat++) { - mul_m4_m4m4(*bbones_mat, *bbones_mat, s); - mul_m4_m4m4(*bbones_mat, bone_mat, *bbones_mat); - } - } - else { - mul_m4_m4m4(*bbones_mat, bone_mat, s); - } - } - - /* Grrr... We need default display matrix to draw end points, axes, etc. :( */ - draw_bone_update_disp_matrix_default(eBone, pchan); + float s[4][4], ebmat[4][4]; + float length, xwidth, zwidth; + float(*bone_mat)[4]; + short bbone_segments; + + /* TODO : This should be moved to depsgraph or armature refresh + * and not be tight to the draw pass creation. + * This would refresh armature without invalidating the draw cache */ + if (pchan) { + length = pchan->bone->length; + xwidth = pchan->bone->xwidth; + zwidth = pchan->bone->zwidth; + bone_mat = pchan->pose_mat; + bbone_segments = pchan->bone->segments; + } + else { + eBone->length = len_v3v3(eBone->tail, eBone->head); + ED_armature_ebone_to_mat4(eBone, ebmat); + + length = eBone->length; + xwidth = eBone->xwidth; + zwidth = eBone->zwidth; + bone_mat = ebmat; + bbone_segments = eBone->segments; + } + + size_to_mat4(s, (const float[3]){xwidth, length / bbone_segments, zwidth}); + + /* Compute BBones segment matrices... */ + /* Note that we need this even for one-segment bones, because box drawing need specific weirdo matrix for the box, + * that we cannot use to draw end points & co. */ + if (pchan) { + Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; + if (bbone_segments > 1) { + BKE_pchan_bbone_spline_setup(pchan, false, false, bbones_mat); + + for (int i = bbone_segments; i--; bbones_mat++) { + mul_m4_m4m4(bbones_mat->mat, bbones_mat->mat, s); + mul_m4_m4m4(bbones_mat->mat, bone_mat, bbones_mat->mat); + } + } + else { + mul_m4_m4m4(bbones_mat->mat, bone_mat, s); + } + } + else { + float(*bbones_mat)[4][4] = eBone->disp_bbone_mat; + + if (bbone_segments > 1) { + ebone_spline_preview(eBone, bbones_mat); + + for (int i = bbone_segments; i--; bbones_mat++) { + mul_m4_m4m4(*bbones_mat, *bbones_mat, s); + mul_m4_m4m4(*bbones_mat, bone_mat, *bbones_mat); + } + } + else { + mul_m4_m4m4(*bbones_mat, bone_mat, s); + } + } + + /* Grrr... We need default display matrix to draw end points, axes, etc. :( */ + draw_bone_update_disp_matrix_default(eBone, pchan); } static void draw_bone_update_disp_matrix_custom(bPoseChannel *pchan) { - float s[4][4]; - float length; - float (*bone_mat)[4]; - float (*disp_mat)[4]; - float (*disp_tail_mat)[4]; - - /* See TODO above */ - length = PCHAN_CUSTOM_DRAW_SIZE(pchan); - bone_mat = pchan->custom_tx ? pchan->custom_tx->pose_mat : pchan->pose_mat; - disp_mat = pchan->disp_mat; - disp_tail_mat = pchan->disp_tail_mat; - - scale_m4_fl(s, length); - mul_m4_m4m4(disp_mat, bone_mat, s); - copy_m4_m4(disp_tail_mat, disp_mat); - translate_m4(disp_tail_mat, 0.0f, 1.0f, 0.0f); + float s[4][4]; + float length; + float(*bone_mat)[4]; + float(*disp_mat)[4]; + float(*disp_tail_mat)[4]; + + /* See TODO above */ + length = PCHAN_CUSTOM_DRAW_SIZE(pchan); + bone_mat = pchan->custom_tx ? pchan->custom_tx->pose_mat : pchan->pose_mat; + disp_mat = pchan->disp_mat; + disp_tail_mat = pchan->disp_tail_mat; + + scale_m4_fl(s, length); + mul_m4_m4m4(disp_mat, bone_mat, s); + copy_m4_m4(disp_tail_mat, disp_mat); + translate_m4(disp_tail_mat, 0.0f, 1.0f, 0.0f); } -static void draw_axes( - EditBone *eBone, bPoseChannel *pchan, - const eGPUShaderConfig sh_cfg) +static void draw_axes(EditBone *eBone, bPoseChannel *pchan, const eGPUShaderConfig sh_cfg) { - float final_col[4]; - const float *col = (g_theme.const_color) ? g_theme.const_color : - (BONE_FLAG(eBone, pchan) & BONE_SELECTED) ? g_theme.text_hi_color : g_theme.text_color; - copy_v4_v4(final_col, col); - /* Mix with axes color. */ - final_col[3] = (g_theme.const_color) ? 1.0 : (BONE_FLAG(eBone, pchan) & BONE_SELECTED) ? 0.3 : 0.8; - drw_shgroup_bone_axes(BONE_VAR(eBone, pchan, disp_mat), final_col, sh_cfg); + float final_col[4]; + const float *col = (g_theme.const_color) ? + g_theme.const_color : + (BONE_FLAG(eBone, pchan) & BONE_SELECTED) ? g_theme.text_hi_color : + g_theme.text_color; + copy_v4_v4(final_col, col); + /* Mix with axes color. */ + final_col[3] = (g_theme.const_color) ? 1.0 : + (BONE_FLAG(eBone, pchan) & BONE_SELECTED) ? 0.3 : 0.8; + drw_shgroup_bone_axes(BONE_VAR(eBone, pchan, disp_mat), final_col, sh_cfg); } -static void draw_points( - const EditBone *eBone, const bPoseChannel *pchan, const bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_points(const EditBone *eBone, + const bPoseChannel *pchan, + const bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - float col_solid_root[4], col_solid_tail[4], col_wire_root[4], col_wire_tail[4]; - float col_hint_root[4], col_hint_tail[4]; - - copy_v4_v4(col_solid_root, g_theme.bone_solid_color); - copy_v4_v4(col_solid_tail, g_theme.bone_solid_color); - copy_v4_v4(col_wire_root, (g_theme.const_color) ? g_theme.const_color : g_theme.vertex_color); - copy_v4_v4(col_wire_tail, (g_theme.const_color) ? g_theme.const_color : g_theme.vertex_color); - - const bool is_envelope_draw = (arm->drawtype == ARM_ENVELOPE); - static const float envelope_ignore = -1.0f; - - col_wire_tail[3] = col_wire_root[3] = get_bone_wire_thickness(boneflag); - - /* Edit bone points can be selected */ - if (eBone) { - if (eBone->flag & BONE_ROOTSEL) { - copy_v3_v3(col_wire_root, g_theme.vertex_select_color); - } - if (eBone->flag & BONE_TIPSEL) { - copy_v3_v3(col_wire_tail, g_theme.vertex_select_color); - } - } - else if (arm->flag & ARM_POSEMODE) { - const float *solid_color = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); - const float *wire_color = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - copy_v4_v4(col_wire_tail, wire_color); - copy_v4_v4(col_wire_root, wire_color); - copy_v4_v4(col_solid_tail, solid_color); - copy_v4_v4(col_solid_root, solid_color); - } - - bone_hint_color_shade(col_hint_root, (g_theme.const_color) ? col_solid_root : col_wire_root); - bone_hint_color_shade(col_hint_tail, (g_theme.const_color) ? col_solid_tail : col_wire_tail); - - /* Draw root point if we are not connected to our parent */ - if ((BONE_FLAG(eBone, pchan) & BONE_CONNECTED) == 0) { - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_ROOT); - } - - if (eBone) { - if (is_envelope_draw) { - drw_shgroup_bone_envelope( - eBone->disp_mat, col_solid_root, col_hint_root, col_wire_root, - &eBone->rad_head, &envelope_ignore, sh_cfg); - } - else { - drw_shgroup_bone_point(eBone->disp_mat, col_solid_root, col_hint_root, col_wire_root, sh_cfg); - } - } - else { - Bone *bone = pchan->bone; - if (is_envelope_draw) { - drw_shgroup_bone_envelope( - pchan->disp_mat, col_solid_root, col_hint_root, col_wire_root, - &bone->rad_head, &envelope_ignore, sh_cfg); - } - else { - drw_shgroup_bone_point(pchan->disp_mat, col_solid_root, col_hint_root, col_wire_root, sh_cfg); - } - } - } - - /* Draw tip point */ - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_TIP); - } - - if (is_envelope_draw) { - const float *rad_tail = eBone ? &eBone->rad_tail : &pchan->bone->rad_tail; - drw_shgroup_bone_envelope( - BONE_VAR(eBone, pchan, disp_mat), col_solid_tail, col_hint_tail, col_wire_tail, - &envelope_ignore, rad_tail, sh_cfg); - } - else { - drw_shgroup_bone_point(BONE_VAR(eBone, pchan, disp_tail_mat), col_solid_tail, col_hint_tail, col_wire_tail, sh_cfg); - } - - if (select_id != -1) { - DRW_select_load_id(-1); - } + float col_solid_root[4], col_solid_tail[4], col_wire_root[4], col_wire_tail[4]; + float col_hint_root[4], col_hint_tail[4]; + + copy_v4_v4(col_solid_root, g_theme.bone_solid_color); + copy_v4_v4(col_solid_tail, g_theme.bone_solid_color); + copy_v4_v4(col_wire_root, (g_theme.const_color) ? g_theme.const_color : g_theme.vertex_color); + copy_v4_v4(col_wire_tail, (g_theme.const_color) ? g_theme.const_color : g_theme.vertex_color); + + const bool is_envelope_draw = (arm->drawtype == ARM_ENVELOPE); + static const float envelope_ignore = -1.0f; + + col_wire_tail[3] = col_wire_root[3] = get_bone_wire_thickness(boneflag); + + /* Edit bone points can be selected */ + if (eBone) { + if (eBone->flag & BONE_ROOTSEL) { + copy_v3_v3(col_wire_root, g_theme.vertex_select_color); + } + if (eBone->flag & BONE_TIPSEL) { + copy_v3_v3(col_wire_tail, g_theme.vertex_select_color); + } + } + else if (arm->flag & ARM_POSEMODE) { + const float *solid_color = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); + const float *wire_color = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + copy_v4_v4(col_wire_tail, wire_color); + copy_v4_v4(col_wire_root, wire_color); + copy_v4_v4(col_solid_tail, solid_color); + copy_v4_v4(col_solid_root, solid_color); + } + + bone_hint_color_shade(col_hint_root, (g_theme.const_color) ? col_solid_root : col_wire_root); + bone_hint_color_shade(col_hint_tail, (g_theme.const_color) ? col_solid_tail : col_wire_tail); + + /* Draw root point if we are not connected to our parent */ + if ((BONE_FLAG(eBone, pchan) & BONE_CONNECTED) == 0) { + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_ROOT); + } + + if (eBone) { + if (is_envelope_draw) { + drw_shgroup_bone_envelope(eBone->disp_mat, + col_solid_root, + col_hint_root, + col_wire_root, + &eBone->rad_head, + &envelope_ignore, + sh_cfg); + } + else { + drw_shgroup_bone_point( + eBone->disp_mat, col_solid_root, col_hint_root, col_wire_root, sh_cfg); + } + } + else { + Bone *bone = pchan->bone; + if (is_envelope_draw) { + drw_shgroup_bone_envelope(pchan->disp_mat, + col_solid_root, + col_hint_root, + col_wire_root, + &bone->rad_head, + &envelope_ignore, + sh_cfg); + } + else { + drw_shgroup_bone_point( + pchan->disp_mat, col_solid_root, col_hint_root, col_wire_root, sh_cfg); + } + } + } + + /* Draw tip point */ + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_TIP); + } + + if (is_envelope_draw) { + const float *rad_tail = eBone ? &eBone->rad_tail : &pchan->bone->rad_tail; + drw_shgroup_bone_envelope(BONE_VAR(eBone, pchan, disp_mat), + col_solid_tail, + col_hint_tail, + col_wire_tail, + &envelope_ignore, + rad_tail, + sh_cfg); + } + else { + drw_shgroup_bone_point(BONE_VAR(eBone, pchan, disp_tail_mat), + col_solid_tail, + col_hint_tail, + col_wire_tail, + sh_cfg); + } + + if (select_id != -1) { + DRW_select_load_id(-1); + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Draw Bones * \{ */ -static void draw_bone_custom_shape( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_custom_shape(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_solid = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); - const float (*disp_mat)[4] = pchan->disp_mat; - - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_BONE); - } - - if ((boneflag & BONE_DRAWWIRE) == 0) { - drw_shgroup_bone_custom_solid(disp_mat, col_solid, col_hint, col_wire, sh_cfg, pchan->custom); - } - else { - drw_shgroup_bone_custom_wire(disp_mat, col_wire, pchan->custom); - } - - if (select_id != -1) { - DRW_select_load_id(-1); - } + const float *col_solid = get_bone_solid_color(eBone, pchan, arm, boneflag, constflag); + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); + const float(*disp_mat)[4] = pchan->disp_mat; + + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_BONE); + } + + if ((boneflag & BONE_DRAWWIRE) == 0) { + drw_shgroup_bone_custom_solid(disp_mat, col_solid, col_hint, col_wire, sh_cfg, pchan->custom); + } + else { + drw_shgroup_bone_custom_wire(disp_mat, col_wire, pchan->custom); + } + + if (select_id != -1) { + DRW_select_load_id(-1); + } } -static void draw_bone_envelope( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_envelope(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_solid = get_bone_solid_with_consts_color(eBone, pchan, arm, boneflag, constflag); - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); - - float *rad_head, *rad_tail, *distance; - if (eBone) { - rad_tail = &eBone->rad_tail; - distance = &eBone->dist; - rad_head = (eBone->parent && (boneflag & BONE_CONNECTED)) ? &eBone->parent->rad_tail : &eBone->rad_head; - } - else { - rad_tail = &pchan->bone->rad_tail; - distance = &pchan->bone->dist; - rad_head = (pchan->parent && (boneflag & BONE_CONNECTED)) ? &pchan->parent->bone->rad_tail : &pchan->bone->rad_head; - } - - if ((select_id == -1) && - (boneflag & BONE_NO_DEFORM) == 0 && - ((boneflag & BONE_SELECTED) || (eBone && (boneflag & (BONE_ROOTSEL | BONE_TIPSEL))))) - { - drw_shgroup_bone_envelope_distance(BONE_VAR(eBone, pchan, disp_mat), rad_head, rad_tail, distance, sh_cfg); - } - - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_BONE); - } - - drw_shgroup_bone_envelope( - BONE_VAR(eBone, pchan, disp_mat), col_solid, col_hint, col_wire, - rad_head, rad_tail, sh_cfg); - - if (select_id != -1) { - DRW_select_load_id(-1); - } - - draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); + const float *col_solid = get_bone_solid_with_consts_color( + eBone, pchan, arm, boneflag, constflag); + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); + + float *rad_head, *rad_tail, *distance; + if (eBone) { + rad_tail = &eBone->rad_tail; + distance = &eBone->dist; + rad_head = (eBone->parent && (boneflag & BONE_CONNECTED)) ? &eBone->parent->rad_tail : + &eBone->rad_head; + } + else { + rad_tail = &pchan->bone->rad_tail; + distance = &pchan->bone->dist; + rad_head = (pchan->parent && (boneflag & BONE_CONNECTED)) ? &pchan->parent->bone->rad_tail : + &pchan->bone->rad_head; + } + + if ((select_id == -1) && (boneflag & BONE_NO_DEFORM) == 0 && + ((boneflag & BONE_SELECTED) || (eBone && (boneflag & (BONE_ROOTSEL | BONE_TIPSEL))))) { + drw_shgroup_bone_envelope_distance( + BONE_VAR(eBone, pchan, disp_mat), rad_head, rad_tail, distance, sh_cfg); + } + + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_BONE); + } + + drw_shgroup_bone_envelope( + BONE_VAR(eBone, pchan, disp_mat), col_solid, col_hint, col_wire, rad_head, rad_tail, sh_cfg); + + if (select_id != -1) { + DRW_select_load_id(-1); + } + + draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); } -static void draw_bone_line( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_line(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_bone = get_bone_solid_with_consts_color(eBone, pchan, arm, boneflag, constflag); - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - const float no_display[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - const float *col_head = no_display; - const float *col_tail = col_bone; - - if (eBone) { - if (eBone->flag & BONE_TIPSEL) { - col_tail = g_theme.vertex_select_color; - } - if (boneflag & BONE_SELECTED) { - col_bone = g_theme.edge_select_color; - } - col_wire = g_theme.wire_color; - } - - /* Draw root point if we are not connected to our parent */ - if ((BONE_FLAG(eBone, pchan) & BONE_CONNECTED) == 0) { - if (eBone) { - col_head = (eBone->flag & BONE_ROOTSEL) ? g_theme.vertex_select_color : col_bone; - } - else if (pchan) { - col_head = col_bone; - } - } - - if (g_theme.const_color != NULL) { - col_wire = no_display; /* actually shrink the display. */ - col_bone = col_head = col_tail = g_theme.const_color; - } - - if (select_id == -1) { - /* Not in selection mode, draw everything at once. */ - drw_shgroup_bone_stick(BONE_VAR(eBone, pchan, disp_mat), col_wire, col_bone, col_head, col_tail, sh_cfg); - } - else { - /* In selection mode, draw bone, root and tip separately. */ - DRW_select_load_id(select_id | BONESEL_BONE); - drw_shgroup_bone_stick(BONE_VAR(eBone, pchan, disp_mat), col_wire, col_bone, no_display, no_display, sh_cfg); - - if (col_head[3] > 0.0f) { - DRW_select_load_id(select_id | BONESEL_ROOT); - drw_shgroup_bone_stick(BONE_VAR(eBone, pchan, disp_mat), col_wire, no_display, col_head, no_display, sh_cfg); - } - - DRW_select_load_id(select_id | BONESEL_TIP); - drw_shgroup_bone_stick(BONE_VAR(eBone, pchan, disp_mat), col_wire, no_display, no_display, col_tail, sh_cfg); - - DRW_select_load_id(-1); - } + const float *col_bone = get_bone_solid_with_consts_color(eBone, pchan, arm, boneflag, constflag); + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + const float no_display[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + const float *col_head = no_display; + const float *col_tail = col_bone; + + if (eBone) { + if (eBone->flag & BONE_TIPSEL) { + col_tail = g_theme.vertex_select_color; + } + if (boneflag & BONE_SELECTED) { + col_bone = g_theme.edge_select_color; + } + col_wire = g_theme.wire_color; + } + + /* Draw root point if we are not connected to our parent */ + if ((BONE_FLAG(eBone, pchan) & BONE_CONNECTED) == 0) { + if (eBone) { + col_head = (eBone->flag & BONE_ROOTSEL) ? g_theme.vertex_select_color : col_bone; + } + else if (pchan) { + col_head = col_bone; + } + } + + if (g_theme.const_color != NULL) { + col_wire = no_display; /* actually shrink the display. */ + col_bone = col_head = col_tail = g_theme.const_color; + } + + if (select_id == -1) { + /* Not in selection mode, draw everything at once. */ + drw_shgroup_bone_stick( + BONE_VAR(eBone, pchan, disp_mat), col_wire, col_bone, col_head, col_tail, sh_cfg); + } + else { + /* In selection mode, draw bone, root and tip separately. */ + DRW_select_load_id(select_id | BONESEL_BONE); + drw_shgroup_bone_stick( + BONE_VAR(eBone, pchan, disp_mat), col_wire, col_bone, no_display, no_display, sh_cfg); + + if (col_head[3] > 0.0f) { + DRW_select_load_id(select_id | BONESEL_ROOT); + drw_shgroup_bone_stick( + BONE_VAR(eBone, pchan, disp_mat), col_wire, no_display, col_head, no_display, sh_cfg); + } + + DRW_select_load_id(select_id | BONESEL_TIP); + drw_shgroup_bone_stick( + BONE_VAR(eBone, pchan, disp_mat), col_wire, no_display, no_display, col_tail, sh_cfg); + + DRW_select_load_id(-1); + } } -static void draw_bone_wire( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_wire(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_BONE); - } - - if (pchan) { - Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; - BLI_assert(bbones_mat != NULL); - - for (int i = pchan->bone->segments; i--; bbones_mat++) { - drw_shgroup_bone_wire(bbones_mat->mat, col_wire, sh_cfg); - } - } - else if (eBone) { - for (int i = 0; i < eBone->segments; i++) { - drw_shgroup_bone_wire(eBone->disp_bbone_mat[i], col_wire, sh_cfg); - } - } - - if (select_id != -1) { - DRW_select_load_id(-1); - } - - if (eBone) { - draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); - } + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_BONE); + } + + if (pchan) { + Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; + BLI_assert(bbones_mat != NULL); + + for (int i = pchan->bone->segments; i--; bbones_mat++) { + drw_shgroup_bone_wire(bbones_mat->mat, col_wire, sh_cfg); + } + } + else if (eBone) { + for (int i = 0; i < eBone->segments; i++) { + drw_shgroup_bone_wire(eBone->disp_bbone_mat[i], col_wire, sh_cfg); + } + } + + if (select_id != -1) { + DRW_select_load_id(-1); + } + + if (eBone) { + draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); + } } -static void draw_bone_box( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_box(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_solid = get_bone_solid_with_consts_color(eBone, pchan, arm, boneflag, constflag); - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); - - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_BONE); - } - - if (pchan) { - Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; - BLI_assert(bbones_mat != NULL); - - for (int i = pchan->bone->segments; i--; bbones_mat++) { - drw_shgroup_bone_box(bbones_mat->mat, col_solid, col_hint, col_wire, sh_cfg); - } - } - else if (eBone) { - for (int i = 0; i < eBone->segments; i++) { - drw_shgroup_bone_box(eBone->disp_bbone_mat[i], col_solid, col_hint, col_wire, sh_cfg); - } - } - - if (select_id != -1) { - DRW_select_load_id(-1); - } - - if (eBone) { - draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); - } + const float *col_solid = get_bone_solid_with_consts_color( + eBone, pchan, arm, boneflag, constflag); + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); + + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_BONE); + } + + if (pchan) { + Mat4 *bbones_mat = (Mat4 *)pchan->draw_data->bbone_matrix; + BLI_assert(bbones_mat != NULL); + + for (int i = pchan->bone->segments; i--; bbones_mat++) { + drw_shgroup_bone_box(bbones_mat->mat, col_solid, col_hint, col_wire, sh_cfg); + } + } + else if (eBone) { + for (int i = 0; i < eBone->segments; i++) { + drw_shgroup_bone_box(eBone->disp_bbone_mat[i], col_solid, col_hint, col_wire, sh_cfg); + } + } + + if (select_id != -1) { + DRW_select_load_id(-1); + } + + if (eBone) { + draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); + } } -static void draw_bone_octahedral( - EditBone *eBone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, - const eGPUShaderConfig sh_cfg, const int select_id) +static void draw_bone_octahedral(EditBone *eBone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const eGPUShaderConfig sh_cfg, + const int select_id) { - const float *col_solid = get_bone_solid_with_consts_color(eBone, pchan, arm, boneflag, constflag); - const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); - const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); + const float *col_solid = get_bone_solid_with_consts_color( + eBone, pchan, arm, boneflag, constflag); + const float *col_wire = get_bone_wire_color(eBone, pchan, arm, boneflag, constflag); + const float *col_hint = get_bone_hint_color(eBone, pchan, arm, boneflag, constflag); - if (select_id != -1) { - DRW_select_load_id(select_id | BONESEL_BONE); - } + if (select_id != -1) { + DRW_select_load_id(select_id | BONESEL_BONE); + } - drw_shgroup_bone_octahedral(BONE_VAR(eBone, pchan, disp_mat), col_solid, col_hint, col_wire, sh_cfg); + drw_shgroup_bone_octahedral( + BONE_VAR(eBone, pchan, disp_mat), col_solid, col_hint, col_wire, sh_cfg); - if (select_id != -1) { - DRW_select_load_id(-1); - } + if (select_id != -1) { + DRW_select_load_id(-1); + } - draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); + draw_points(eBone, pchan, arm, boneflag, constflag, sh_cfg, select_id); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Draw Degrees of Freedom * \{ */ static void draw_bone_dofs(bPoseChannel *pchan) { - float final_bonemat[4][4], posetrans[4][4], mat[4][4]; - float amin[2], amax[2], xminmax[2], zminmax[2]; - float col_sphere[4] = {0.25f, 0.25f, 0.25f, 0.25f}; - float col_lines[4] = {0.0f, 0.0f, 0.0f, 1.0f}; - float col_xaxis[4] = {1.0f, 0.0f, 0.0f, 1.0f}; - float col_zaxis[4] = {0.0f, 0.0f, 1.0f, 1.0f}; - - if (g_data.passes.bone_envelope == NULL) { - return; - } - - if (g_data.bone_dof_sphere == NULL) { - g_data.bone_dof_lines = shgroup_instance_bone_dof(g_data.passes.bone_wire, DRW_cache_bone_dof_lines_get()); - g_data.bone_dof_sphere = shgroup_instance_bone_dof(g_data.passes.bone_envelope, DRW_cache_bone_dof_sphere_get()); - DRW_shgroup_state_enable(g_data.bone_dof_sphere, DRW_STATE_BLEND); - DRW_shgroup_state_disable(g_data.bone_dof_sphere, DRW_STATE_CULL_FRONT); - } - - /* *0.5f here comes from M_PI/360.0f when rotations were still in degrees */ - xminmax[0] = sinf(pchan->limitmin[0] * 0.5f); - xminmax[1] = sinf(pchan->limitmax[0] * 0.5f); - zminmax[0] = sinf(pchan->limitmin[2] * 0.5f); - zminmax[1] = sinf(pchan->limitmax[2] * 0.5f); - - unit_m4(posetrans); - translate_m4(posetrans, pchan->pose_mat[3][0], pchan->pose_mat[3][1], pchan->pose_mat[3][2]); - /* in parent-bone pose space... */ - if (pchan->parent) { - copy_m4_m4(mat, pchan->parent->pose_mat); - mat[3][0] = mat[3][1] = mat[3][2] = 0.0f; - mul_m4_m4m4(posetrans, posetrans, mat); - } - /* ... but own restspace */ - mul_m4_m4m3(posetrans, posetrans, pchan->bone->bone_mat); - - float scale = pchan->bone->length * pchan->size[1]; - scale_m4_fl(mat, scale); - mat[1][1] = -mat[1][1]; - mul_m4_m4m4(posetrans, posetrans, mat); - - /* into world space. */ - mul_m4_m4m4(final_bonemat, g_data.ob->obmat, posetrans); - - if ((pchan->ikflag & BONE_IK_XLIMIT) && - (pchan->ikflag & BONE_IK_ZLIMIT)) - { - amin[0] = xminmax[0]; - amax[0] = xminmax[1]; - amin[1] = zminmax[0]; - amax[1] = zminmax[1]; - DRW_shgroup_call_dynamic_add(g_data.bone_dof_sphere, final_bonemat, col_sphere, amin, amax); - DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_lines, amin, amax); - } - if (pchan->ikflag & BONE_IK_XLIMIT) { - amin[0] = xminmax[0]; - amax[0] = xminmax[1]; - amin[1] = amax[1] = 0.0f; - DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_xaxis, amin, amax); - } - if (pchan->ikflag & BONE_IK_ZLIMIT) { - amin[1] = zminmax[0]; - amax[1] = zminmax[1]; - amin[0] = amax[0] = 0.0f; - DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_zaxis, amin, amax); - } + float final_bonemat[4][4], posetrans[4][4], mat[4][4]; + float amin[2], amax[2], xminmax[2], zminmax[2]; + float col_sphere[4] = {0.25f, 0.25f, 0.25f, 0.25f}; + float col_lines[4] = {0.0f, 0.0f, 0.0f, 1.0f}; + float col_xaxis[4] = {1.0f, 0.0f, 0.0f, 1.0f}; + float col_zaxis[4] = {0.0f, 0.0f, 1.0f, 1.0f}; + + if (g_data.passes.bone_envelope == NULL) { + return; + } + + if (g_data.bone_dof_sphere == NULL) { + g_data.bone_dof_lines = shgroup_instance_bone_dof(g_data.passes.bone_wire, + DRW_cache_bone_dof_lines_get()); + g_data.bone_dof_sphere = shgroup_instance_bone_dof(g_data.passes.bone_envelope, + DRW_cache_bone_dof_sphere_get()); + DRW_shgroup_state_enable(g_data.bone_dof_sphere, DRW_STATE_BLEND); + DRW_shgroup_state_disable(g_data.bone_dof_sphere, DRW_STATE_CULL_FRONT); + } + + /* *0.5f here comes from M_PI/360.0f when rotations were still in degrees */ + xminmax[0] = sinf(pchan->limitmin[0] * 0.5f); + xminmax[1] = sinf(pchan->limitmax[0] * 0.5f); + zminmax[0] = sinf(pchan->limitmin[2] * 0.5f); + zminmax[1] = sinf(pchan->limitmax[2] * 0.5f); + + unit_m4(posetrans); + translate_m4(posetrans, pchan->pose_mat[3][0], pchan->pose_mat[3][1], pchan->pose_mat[3][2]); + /* in parent-bone pose space... */ + if (pchan->parent) { + copy_m4_m4(mat, pchan->parent->pose_mat); + mat[3][0] = mat[3][1] = mat[3][2] = 0.0f; + mul_m4_m4m4(posetrans, posetrans, mat); + } + /* ... but own restspace */ + mul_m4_m4m3(posetrans, posetrans, pchan->bone->bone_mat); + + float scale = pchan->bone->length * pchan->size[1]; + scale_m4_fl(mat, scale); + mat[1][1] = -mat[1][1]; + mul_m4_m4m4(posetrans, posetrans, mat); + + /* into world space. */ + mul_m4_m4m4(final_bonemat, g_data.ob->obmat, posetrans); + + if ((pchan->ikflag & BONE_IK_XLIMIT) && (pchan->ikflag & BONE_IK_ZLIMIT)) { + amin[0] = xminmax[0]; + amax[0] = xminmax[1]; + amin[1] = zminmax[0]; + amax[1] = zminmax[1]; + DRW_shgroup_call_dynamic_add(g_data.bone_dof_sphere, final_bonemat, col_sphere, amin, amax); + DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_lines, amin, amax); + } + if (pchan->ikflag & BONE_IK_XLIMIT) { + amin[0] = xminmax[0]; + amax[0] = xminmax[1]; + amin[1] = amax[1] = 0.0f; + DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_xaxis, amin, amax); + } + if (pchan->ikflag & BONE_IK_ZLIMIT) { + amin[1] = zminmax[0]; + amax[1] = zminmax[1]; + amin[0] = amax[0] = 0.0f; + DRW_shgroup_call_dynamic_add(g_data.bone_dof_lines, final_bonemat, col_zaxis, amin, amax); + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Draw Relationships * \{ */ -static void pchan_draw_ik_lines( - bPoseChannel *pchan, const bool only_temp, const int constflag, - const eGPUShaderConfig sh_cfg) +static void pchan_draw_ik_lines(bPoseChannel *pchan, + const bool only_temp, + const int constflag, + const eGPUShaderConfig sh_cfg) { - bConstraint *con; - bPoseChannel *parchan; - float *line_start = NULL, *line_end = NULL; - - for (con = pchan->constraints.first; con; con = con->next) { - if (con->enforce == 0.0f) { - continue; - } - - switch (con->type) { - case CONSTRAINT_TYPE_KINEMATIC: - { - bKinematicConstraint *data = (bKinematicConstraint *)con->data; - int segcount = 0; - - /* if only_temp, only draw if it is a temporary ik-chain */ - if (only_temp && !(data->flag & CONSTRAINT_IK_TEMP)) { - continue; - } - - /* exclude tip from chain? */ - parchan = ((data->flag & CONSTRAINT_IK_TIP) == 0) ? pchan->parent : pchan; - line_start = parchan->pose_tail; - - /* Find the chain's root */ - while (parchan->parent) { - segcount++; - if (segcount == data->rootbone || segcount > 255) { - break; /* 255 is weak */ - } - parchan = parchan->parent; - } - - if (parchan) { - line_end = parchan->pose_head; - - if (constflag & PCHAN_HAS_TARGET) { - drw_shgroup_bone_ik_lines(line_start, line_end, sh_cfg); - } - else { - drw_shgroup_bone_ik_no_target_lines(line_start, line_end, sh_cfg); - } - } - break; - } - case CONSTRAINT_TYPE_SPLINEIK: - { - bSplineIKConstraint *data = (bSplineIKConstraint *)con->data; - int segcount = 0; - - /* don't draw if only_temp, as Spline IK chains cannot be temporary */ - if (only_temp) { - continue; - } - - parchan = pchan; - line_start = parchan->pose_tail; - - /* Find the chain's root */ - while (parchan->parent) { - segcount++; - /* FIXME: revise the breaking conditions */ - if (segcount == data->chainlen || segcount > 255) { - break; /* 255 is weak */ - } - parchan = parchan->parent; - } - /* Only draw line in case our chain is more than one bone long! */ - if (parchan != pchan) { /* XXX revise the breaking conditions to only stop at the tail? */ - line_end = parchan->pose_head; - drw_shgroup_bone_ik_spline_lines(line_start, line_end, sh_cfg); - } - break; - } - } - } + bConstraint *con; + bPoseChannel *parchan; + float *line_start = NULL, *line_end = NULL; + + for (con = pchan->constraints.first; con; con = con->next) { + if (con->enforce == 0.0f) { + continue; + } + + switch (con->type) { + case CONSTRAINT_TYPE_KINEMATIC: { + bKinematicConstraint *data = (bKinematicConstraint *)con->data; + int segcount = 0; + + /* if only_temp, only draw if it is a temporary ik-chain */ + if (only_temp && !(data->flag & CONSTRAINT_IK_TEMP)) { + continue; + } + + /* exclude tip from chain? */ + parchan = ((data->flag & CONSTRAINT_IK_TIP) == 0) ? pchan->parent : pchan; + line_start = parchan->pose_tail; + + /* Find the chain's root */ + while (parchan->parent) { + segcount++; + if (segcount == data->rootbone || segcount > 255) { + break; /* 255 is weak */ + } + parchan = parchan->parent; + } + + if (parchan) { + line_end = parchan->pose_head; + + if (constflag & PCHAN_HAS_TARGET) { + drw_shgroup_bone_ik_lines(line_start, line_end, sh_cfg); + } + else { + drw_shgroup_bone_ik_no_target_lines(line_start, line_end, sh_cfg); + } + } + break; + } + case CONSTRAINT_TYPE_SPLINEIK: { + bSplineIKConstraint *data = (bSplineIKConstraint *)con->data; + int segcount = 0; + + /* don't draw if only_temp, as Spline IK chains cannot be temporary */ + if (only_temp) { + continue; + } + + parchan = pchan; + line_start = parchan->pose_tail; + + /* Find the chain's root */ + while (parchan->parent) { + segcount++; + /* FIXME: revise the breaking conditions */ + if (segcount == data->chainlen || segcount > 255) { + break; /* 255 is weak */ + } + parchan = parchan->parent; + } + /* Only draw line in case our chain is more than one bone long! */ + if (parchan != pchan) { /* XXX revise the breaking conditions to only stop at the tail? */ + line_end = parchan->pose_head; + drw_shgroup_bone_ik_spline_lines(line_start, line_end, sh_cfg); + } + break; + } + } + } } -static void draw_bone_relations( - EditBone *ebone, bPoseChannel *pchan, bArmature *arm, - const int boneflag, const short constflag, const bool do_relations, - const eGPUShaderConfig sh_cfg) +static void draw_bone_relations(EditBone *ebone, + bPoseChannel *pchan, + bArmature *arm, + const int boneflag, + const short constflag, + const bool do_relations, + const eGPUShaderConfig sh_cfg) { - if (g_data.passes.relationship_lines) { - if (ebone && ebone->parent) { - if (do_relations) { - /* Always draw for unconnected bones, regardless of selection, - * since riggers will want to know about the links between bones - */ - if ((boneflag & BONE_CONNECTED) == 0) { - drw_shgroup_bone_relationship_lines(ebone->head, ebone->parent->tail, sh_cfg); - } - } - } - else if (pchan && pchan->parent) { - if (do_relations) { - /* Only draw if bone or its parent is selected - reduces viewport complexity with complex rigs */ - if ((boneflag & BONE_SELECTED) || - (pchan->parent->bone && (pchan->parent->bone->flag & BONE_SELECTED))) - { - if ((boneflag & BONE_CONNECTED) == 0) { - drw_shgroup_bone_relationship_lines(pchan->pose_head, pchan->parent->pose_tail, sh_cfg); - } - } - } - - /* Draw a line to IK root bone if bone is selected. */ - if (arm->flag & ARM_POSEMODE) { - if (constflag & (PCHAN_HAS_IK | PCHAN_HAS_SPLINEIK)) { - if (boneflag & BONE_SELECTED) { - pchan_draw_ik_lines(pchan, !do_relations, constflag, sh_cfg); - } - } - } - } - } + if (g_data.passes.relationship_lines) { + if (ebone && ebone->parent) { + if (do_relations) { + /* Always draw for unconnected bones, regardless of selection, + * since riggers will want to know about the links between bones + */ + if ((boneflag & BONE_CONNECTED) == 0) { + drw_shgroup_bone_relationship_lines(ebone->head, ebone->parent->tail, sh_cfg); + } + } + } + else if (pchan && pchan->parent) { + if (do_relations) { + /* Only draw if bone or its parent is selected - reduces viewport complexity with complex rigs */ + if ((boneflag & BONE_SELECTED) || + (pchan->parent->bone && (pchan->parent->bone->flag & BONE_SELECTED))) { + if ((boneflag & BONE_CONNECTED) == 0) { + drw_shgroup_bone_relationship_lines( + pchan->pose_head, pchan->parent->pose_tail, sh_cfg); + } + } + } + + /* Draw a line to IK root bone if bone is selected. */ + if (arm->flag & ARM_POSEMODE) { + if (constflag & (PCHAN_HAS_IK | PCHAN_HAS_SPLINEIK)) { + if (boneflag & BONE_SELECTED) { + pchan_draw_ik_lines(pchan, !do_relations, constflag, sh_cfg); + } + } + } + } + } } /** \} */ @@ -1707,210 +1794,222 @@ static void draw_bone_relations( static void draw_armature_edit(Object *ob) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EditBone *eBone; - bArmature *arm = ob->data; - int index; - const bool is_select = DRW_state_is_select(); - - update_color(ob, NULL); - edbo_compute_bbone_child(arm); - - const bool show_text = DRW_state_show_text(); - const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); - - for (eBone = arm->edbo->first, index = ob->select_id; eBone; eBone = eBone->next, index += 0x10000) { - if (eBone->layer & arm->layer) { - if ((eBone->flag & BONE_HIDDEN_A) == 0) { - const int select_id = is_select ? index : (uint)-1; - - const short constflag = 0; - - /* catch exception for bone with hidden parent */ - int boneflag = eBone->flag; - if ((eBone->parent) && !EBONE_VISIBLE(arm, eBone->parent)) { - boneflag &= ~BONE_CONNECTED; - } - - /* set temporary flag for drawing bone as active, but only if selected */ - if (eBone == arm->act_edbone) { - boneflag |= BONE_DRAW_ACTIVE; - } - - draw_bone_relations(eBone, NULL, arm, boneflag, constflag, show_relations, draw_ctx->sh_cfg); - - if (arm->drawtype == ARM_ENVELOPE) { - draw_bone_update_disp_matrix_default(eBone, NULL); - draw_bone_envelope(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_LINE) { - draw_bone_update_disp_matrix_default(eBone, NULL); - draw_bone_line(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_WIRE) { - draw_bone_update_disp_matrix_bbone(eBone, NULL); - draw_bone_wire(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_B_BONE) { - draw_bone_update_disp_matrix_bbone(eBone, NULL); - draw_bone_box(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else { - draw_bone_update_disp_matrix_default(eBone, NULL); - draw_bone_octahedral(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - - /* Draw names of bone */ - if (show_text && (arm->flag & ARM_DRAWNAMES)) { - uchar color[4]; - UI_GetThemeColor4ubv((eBone->flag & BONE_SELECTED) ? TH_TEXT_HI : TH_TEXT, color); - - float vec[3]; - mid_v3_v3v3(vec, eBone->head, eBone->tail); - mul_m4_v3(ob->obmat, vec); - - struct DRWTextStore *dt = DRW_text_cache_ensure(); - DRW_text_cache_add( - dt, vec, eBone->name, strlen(eBone->name), - 10, 0, DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, color); - } - - /* Draw additional axes */ - if (arm->flag & ARM_DRAWAXES) { - draw_axes(eBone, NULL, draw_ctx->sh_cfg); - } - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + EditBone *eBone; + bArmature *arm = ob->data; + int index; + const bool is_select = DRW_state_is_select(); + + update_color(ob, NULL); + edbo_compute_bbone_child(arm); + + const bool show_text = DRW_state_show_text(); + const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); + + for (eBone = arm->edbo->first, index = ob->select_id; eBone; + eBone = eBone->next, index += 0x10000) { + if (eBone->layer & arm->layer) { + if ((eBone->flag & BONE_HIDDEN_A) == 0) { + const int select_id = is_select ? index : (uint)-1; + + const short constflag = 0; + + /* catch exception for bone with hidden parent */ + int boneflag = eBone->flag; + if ((eBone->parent) && !EBONE_VISIBLE(arm, eBone->parent)) { + boneflag &= ~BONE_CONNECTED; + } + + /* set temporary flag for drawing bone as active, but only if selected */ + if (eBone == arm->act_edbone) { + boneflag |= BONE_DRAW_ACTIVE; + } + + draw_bone_relations( + eBone, NULL, arm, boneflag, constflag, show_relations, draw_ctx->sh_cfg); + + if (arm->drawtype == ARM_ENVELOPE) { + draw_bone_update_disp_matrix_default(eBone, NULL); + draw_bone_envelope(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_LINE) { + draw_bone_update_disp_matrix_default(eBone, NULL); + draw_bone_line(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_WIRE) { + draw_bone_update_disp_matrix_bbone(eBone, NULL); + draw_bone_wire(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_B_BONE) { + draw_bone_update_disp_matrix_bbone(eBone, NULL); + draw_bone_box(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else { + draw_bone_update_disp_matrix_default(eBone, NULL); + draw_bone_octahedral(eBone, NULL, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + + /* Draw names of bone */ + if (show_text && (arm->flag & ARM_DRAWNAMES)) { + uchar color[4]; + UI_GetThemeColor4ubv((eBone->flag & BONE_SELECTED) ? TH_TEXT_HI : TH_TEXT, color); + + float vec[3]; + mid_v3_v3v3(vec, eBone->head, eBone->tail); + mul_m4_v3(ob->obmat, vec); + + struct DRWTextStore *dt = DRW_text_cache_ensure(); + DRW_text_cache_add(dt, + vec, + eBone->name, + strlen(eBone->name), + 10, + 0, + DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, + color); + } + + /* Draw additional axes */ + if (arm->flag & ARM_DRAWAXES) { + draw_axes(eBone, NULL, draw_ctx->sh_cfg); + } + } + } + } } /* if const_color is NULL do pose mode coloring */ static void draw_armature_pose(Object *ob, const float const_color[4]) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - bArmature *arm = ob->data; - bPoseChannel *pchan; - int index = -1; - Bone *bone; - - update_color(ob, const_color); - - /* We can't safely draw non-updated pose, might contain NULL bone pointers... */ - if (ob->pose->flag & POSE_RECALC) { - return; - } - - // if (!(base->flag & OB_FROMDUPLI)) // TODO - { - if ((draw_ctx->object_mode & OB_MODE_POSE) || (ob == draw_ctx->object_pose)) { - arm->flag |= ARM_POSEMODE; - } - - if (arm->flag & ARM_POSEMODE) { - index = ob->select_id; - } - } - - const bool is_pose_select = (arm->flag & ARM_POSEMODE) && DRW_state_is_select(); - const bool show_text = DRW_state_show_text(); - const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); - - /* being set below */ - for (pchan = ob->pose->chanbase.first; pchan; pchan = pchan->next) { - bone = pchan->bone; - - /* bone must be visible */ - if ((bone->flag & (BONE_HIDDEN_P | BONE_HIDDEN_PG)) == 0) { - if (bone->layer & arm->layer) { - const int select_id = is_pose_select ? index : (uint)-1; - - const short constflag = pchan->constflag; - - pchan_draw_data_init(pchan); - - if (const_color) { - /* keep color */ - } - else { - /* set color-set to use */ - set_pchan_colorset(ob, pchan); - } - - int boneflag = bone->flag; - /* catch exception for bone with hidden parent */ - boneflag = bone->flag; - if ((bone->parent) && (bone->parent->flag & (BONE_HIDDEN_P | BONE_HIDDEN_PG))) { - boneflag &= ~BONE_CONNECTED; - } - - /* set temporary flag for drawing bone as active, but only if selected */ - if (bone == arm->act_bone) { - boneflag |= BONE_DRAW_ACTIVE; - } - - draw_bone_relations(NULL, pchan, arm, boneflag, constflag, show_relations, draw_ctx->sh_cfg); - - if ((pchan->custom) && !(arm->flag & ARM_NO_CUSTOM)) { - draw_bone_update_disp_matrix_custom(pchan); - draw_bone_custom_shape(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_ENVELOPE) { - draw_bone_update_disp_matrix_default(NULL, pchan); - draw_bone_envelope(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_LINE) { - draw_bone_update_disp_matrix_default(NULL, pchan); - draw_bone_line(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_WIRE) { - draw_bone_update_disp_matrix_bbone(NULL, pchan); - draw_bone_wire(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else if (arm->drawtype == ARM_B_BONE) { - draw_bone_update_disp_matrix_bbone(NULL, pchan); - draw_bone_box(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - else { - draw_bone_update_disp_matrix_default(NULL, pchan); - draw_bone_octahedral(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); - } - - if (!is_pose_select && show_relations && - (arm->flag & ARM_POSEMODE) && - (bone->flag & BONE_SELECTED) && - ((ob->base_flag & BASE_FROM_DUPLI) == 0) && - (pchan->ikflag & (BONE_IK_XLIMIT | BONE_IK_ZLIMIT))) - { - draw_bone_dofs(pchan); - } - - /* Draw names of bone */ - if (show_text && (arm->flag & ARM_DRAWNAMES)) { - uchar color[4]; - UI_GetThemeColor4ubv((arm->flag & ARM_POSEMODE) && - (bone->flag & BONE_SELECTED) ? TH_TEXT_HI : TH_TEXT, color); - float vec[3]; - mid_v3_v3v3(vec, pchan->pose_head, pchan->pose_tail); - mul_m4_v3(ob->obmat, vec); - - struct DRWTextStore *dt = DRW_text_cache_ensure(); - DRW_text_cache_add( - dt, vec, pchan->name, strlen(pchan->name), - 10, 0, DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, color); - } - - /* Draw additional axes */ - if (arm->flag & ARM_DRAWAXES) { - draw_axes(NULL, pchan, draw_ctx->sh_cfg); - } - } - } - if (is_pose_select) { - index += 0x10000; - } - } - - arm->flag &= ~ARM_POSEMODE; + const DRWContextState *draw_ctx = DRW_context_state_get(); + bArmature *arm = ob->data; + bPoseChannel *pchan; + int index = -1; + Bone *bone; + + update_color(ob, const_color); + + /* We can't safely draw non-updated pose, might contain NULL bone pointers... */ + if (ob->pose->flag & POSE_RECALC) { + return; + } + + // if (!(base->flag & OB_FROMDUPLI)) // TODO + { + if ((draw_ctx->object_mode & OB_MODE_POSE) || (ob == draw_ctx->object_pose)) { + arm->flag |= ARM_POSEMODE; + } + + if (arm->flag & ARM_POSEMODE) { + index = ob->select_id; + } + } + + const bool is_pose_select = (arm->flag & ARM_POSEMODE) && DRW_state_is_select(); + const bool show_text = DRW_state_show_text(); + const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); + + /* being set below */ + for (pchan = ob->pose->chanbase.first; pchan; pchan = pchan->next) { + bone = pchan->bone; + + /* bone must be visible */ + if ((bone->flag & (BONE_HIDDEN_P | BONE_HIDDEN_PG)) == 0) { + if (bone->layer & arm->layer) { + const int select_id = is_pose_select ? index : (uint)-1; + + const short constflag = pchan->constflag; + + pchan_draw_data_init(pchan); + + if (const_color) { + /* keep color */ + } + else { + /* set color-set to use */ + set_pchan_colorset(ob, pchan); + } + + int boneflag = bone->flag; + /* catch exception for bone with hidden parent */ + boneflag = bone->flag; + if ((bone->parent) && (bone->parent->flag & (BONE_HIDDEN_P | BONE_HIDDEN_PG))) { + boneflag &= ~BONE_CONNECTED; + } + + /* set temporary flag for drawing bone as active, but only if selected */ + if (bone == arm->act_bone) { + boneflag |= BONE_DRAW_ACTIVE; + } + + draw_bone_relations( + NULL, pchan, arm, boneflag, constflag, show_relations, draw_ctx->sh_cfg); + + if ((pchan->custom) && !(arm->flag & ARM_NO_CUSTOM)) { + draw_bone_update_disp_matrix_custom(pchan); + draw_bone_custom_shape( + NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_ENVELOPE) { + draw_bone_update_disp_matrix_default(NULL, pchan); + draw_bone_envelope(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_LINE) { + draw_bone_update_disp_matrix_default(NULL, pchan); + draw_bone_line(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_WIRE) { + draw_bone_update_disp_matrix_bbone(NULL, pchan); + draw_bone_wire(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else if (arm->drawtype == ARM_B_BONE) { + draw_bone_update_disp_matrix_bbone(NULL, pchan); + draw_bone_box(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + else { + draw_bone_update_disp_matrix_default(NULL, pchan); + draw_bone_octahedral(NULL, pchan, arm, boneflag, constflag, draw_ctx->sh_cfg, select_id); + } + + if (!is_pose_select && show_relations && (arm->flag & ARM_POSEMODE) && + (bone->flag & BONE_SELECTED) && ((ob->base_flag & BASE_FROM_DUPLI) == 0) && + (pchan->ikflag & (BONE_IK_XLIMIT | BONE_IK_ZLIMIT))) { + draw_bone_dofs(pchan); + } + + /* Draw names of bone */ + if (show_text && (arm->flag & ARM_DRAWNAMES)) { + uchar color[4]; + UI_GetThemeColor4ubv( + (arm->flag & ARM_POSEMODE) && (bone->flag & BONE_SELECTED) ? TH_TEXT_HI : TH_TEXT, + color); + float vec[3]; + mid_v3_v3v3(vec, pchan->pose_head, pchan->pose_tail); + mul_m4_v3(ob->obmat, vec); + + struct DRWTextStore *dt = DRW_text_cache_ensure(); + DRW_text_cache_add(dt, + vec, + pchan->name, + strlen(pchan->name), + 10, + 0, + DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, + color); + } + + /* Draw additional axes */ + if (arm->flag & ARM_DRAWAXES) { + draw_axes(NULL, pchan, draw_ctx->sh_cfg); + } + } + } + if (is_pose_select) { + index += 0x10000; + } + } + + arm->flag &= ~ARM_POSEMODE; } /** @@ -1918,32 +2017,35 @@ static void draw_armature_pose(Object *ob, const float const_color[4]) */ static void drw_shgroup_armature(Object *ob, DRWArmaturePasses passes, bool transp) { - memset(&g_data, 0x0, sizeof(g_data)); - g_data.ob = ob; - g_data.passes = passes; - g_data.transparent = transp; - memset(&g_color, 0x0, sizeof(g_color)); + memset(&g_data, 0x0, sizeof(g_data)); + g_data.ob = ob; + g_data.passes = passes; + g_data.transparent = transp; + memset(&g_color, 0x0, sizeof(g_color)); } -void DRW_shgroup_armature_object(Object *ob, ViewLayer *view_layer, DRWArmaturePasses passes, bool transp) +void DRW_shgroup_armature_object(Object *ob, + ViewLayer *view_layer, + DRWArmaturePasses passes, + bool transp) { - float *color; - DRW_object_wire_theme_get(ob, view_layer, &color); - passes.bone_envelope = NULL; /* Don't do envelope distance in object mode. */ - drw_shgroup_armature(ob, passes, transp); - draw_armature_pose(ob, color); + float *color; + DRW_object_wire_theme_get(ob, view_layer, &color); + passes.bone_envelope = NULL; /* Don't do envelope distance in object mode. */ + drw_shgroup_armature(ob, passes, transp); + draw_armature_pose(ob, color); } void DRW_shgroup_armature_pose(Object *ob, DRWArmaturePasses passes, bool transp) { - drw_shgroup_armature(ob, passes, transp); - draw_armature_pose(ob, NULL); + drw_shgroup_armature(ob, passes, transp); + draw_armature_pose(ob, NULL); } void DRW_shgroup_armature_edit(Object *ob, DRWArmaturePasses passes, bool transp) { - drw_shgroup_armature(ob, passes, transp); - draw_armature_edit(ob); + drw_shgroup_armature(ob, passes, transp); + draw_armature_edit(ob); } /** \} */ diff --git a/source/blender/draw/intern/draw_cache.c b/source/blender/draw/intern/draw_cache.c index 717fd69149c..74c87162afd 100644 --- a/source/blender/draw/intern/draw_cache.c +++ b/source/blender/draw/intern/draw_cache.c @@ -18,7 +18,6 @@ * \ingroup draw */ - #include "DNA_scene_types.h" #include "DNA_mesh_types.h" #include "DNA_meta_types.h" @@ -47,221 +46,228 @@ /* Batch's only (free'd as an array) */ static struct DRWShapeCache { - GPUBatch *drw_single_vertice; - GPUBatch *drw_cursor; - GPUBatch *drw_cursor_only_circle; - GPUBatch *drw_fullscreen_quad; - GPUBatch *drw_fullscreen_quad_texcoord; - GPUBatch *drw_quad; - GPUBatch *drw_quad_wires; - GPUBatch *drw_grid; - GPUBatch *drw_sphere; - GPUBatch *drw_screenspace_circle; - GPUBatch *drw_plain_axes; - GPUBatch *drw_single_arrow; - GPUBatch *drw_cube; - GPUBatch *drw_circle; - GPUBatch *drw_square; - GPUBatch *drw_line; - GPUBatch *drw_line_endpoints; - GPUBatch *drw_empty_cube; - GPUBatch *drw_empty_sphere; - GPUBatch *drw_empty_cylinder; - GPUBatch *drw_empty_capsule_body; - GPUBatch *drw_empty_capsule_cap; - GPUBatch *drw_empty_cone; - GPUBatch *drw_arrows; - GPUBatch *drw_axis_names; - GPUBatch *drw_image_plane; - GPUBatch *drw_image_plane_wire; - GPUBatch *drw_field_wind; - GPUBatch *drw_field_force; - GPUBatch *drw_field_vortex; - GPUBatch *drw_field_tube_limit; - GPUBatch *drw_field_cone_limit; - GPUBatch *drw_light; - GPUBatch *drw_light_shadows; - GPUBatch *drw_light_sunrays; - GPUBatch *drw_light_area_square; - GPUBatch *drw_light_area_disk; - GPUBatch *drw_light_hemi; - GPUBatch *drw_light_spot; - GPUBatch *drw_light_spot_volume; - GPUBatch *drw_light_spot_square; - GPUBatch *drw_light_spot_square_volume; - GPUBatch *drw_speaker; - GPUBatch *drw_lightprobe_cube; - GPUBatch *drw_lightprobe_planar; - GPUBatch *drw_lightprobe_grid; - GPUBatch *drw_bone_octahedral; - GPUBatch *drw_bone_octahedral_wire; - GPUBatch *drw_bone_box; - GPUBatch *drw_bone_box_wire; - GPUBatch *drw_bone_wire_wire; - GPUBatch *drw_bone_envelope; - GPUBatch *drw_bone_envelope_outline; - GPUBatch *drw_bone_point; - GPUBatch *drw_bone_point_wire; - GPUBatch *drw_bone_stick; - GPUBatch *drw_bone_arrows; - GPUBatch *drw_bone_dof_sphere; - GPUBatch *drw_bone_dof_lines; - GPUBatch *drw_camera; - GPUBatch *drw_camera_frame; - GPUBatch *drw_camera_tria; - GPUBatch *drw_camera_focus; - GPUBatch *drw_particle_cross; - GPUBatch *drw_particle_circle; - GPUBatch *drw_particle_axis; - GPUBatch *drw_gpencil_axes; + GPUBatch *drw_single_vertice; + GPUBatch *drw_cursor; + GPUBatch *drw_cursor_only_circle; + GPUBatch *drw_fullscreen_quad; + GPUBatch *drw_fullscreen_quad_texcoord; + GPUBatch *drw_quad; + GPUBatch *drw_quad_wires; + GPUBatch *drw_grid; + GPUBatch *drw_sphere; + GPUBatch *drw_screenspace_circle; + GPUBatch *drw_plain_axes; + GPUBatch *drw_single_arrow; + GPUBatch *drw_cube; + GPUBatch *drw_circle; + GPUBatch *drw_square; + GPUBatch *drw_line; + GPUBatch *drw_line_endpoints; + GPUBatch *drw_empty_cube; + GPUBatch *drw_empty_sphere; + GPUBatch *drw_empty_cylinder; + GPUBatch *drw_empty_capsule_body; + GPUBatch *drw_empty_capsule_cap; + GPUBatch *drw_empty_cone; + GPUBatch *drw_arrows; + GPUBatch *drw_axis_names; + GPUBatch *drw_image_plane; + GPUBatch *drw_image_plane_wire; + GPUBatch *drw_field_wind; + GPUBatch *drw_field_force; + GPUBatch *drw_field_vortex; + GPUBatch *drw_field_tube_limit; + GPUBatch *drw_field_cone_limit; + GPUBatch *drw_light; + GPUBatch *drw_light_shadows; + GPUBatch *drw_light_sunrays; + GPUBatch *drw_light_area_square; + GPUBatch *drw_light_area_disk; + GPUBatch *drw_light_hemi; + GPUBatch *drw_light_spot; + GPUBatch *drw_light_spot_volume; + GPUBatch *drw_light_spot_square; + GPUBatch *drw_light_spot_square_volume; + GPUBatch *drw_speaker; + GPUBatch *drw_lightprobe_cube; + GPUBatch *drw_lightprobe_planar; + GPUBatch *drw_lightprobe_grid; + GPUBatch *drw_bone_octahedral; + GPUBatch *drw_bone_octahedral_wire; + GPUBatch *drw_bone_box; + GPUBatch *drw_bone_box_wire; + GPUBatch *drw_bone_wire_wire; + GPUBatch *drw_bone_envelope; + GPUBatch *drw_bone_envelope_outline; + GPUBatch *drw_bone_point; + GPUBatch *drw_bone_point_wire; + GPUBatch *drw_bone_stick; + GPUBatch *drw_bone_arrows; + GPUBatch *drw_bone_dof_sphere; + GPUBatch *drw_bone_dof_lines; + GPUBatch *drw_camera; + GPUBatch *drw_camera_frame; + GPUBatch *drw_camera_tria; + GPUBatch *drw_camera_focus; + GPUBatch *drw_particle_cross; + GPUBatch *drw_particle_circle; + GPUBatch *drw_particle_axis; + GPUBatch *drw_gpencil_axes; } SHC = {NULL}; void DRW_shape_cache_free(void) { - uint i = sizeof(SHC) / sizeof(GPUBatch *); - GPUBatch **batch = (GPUBatch **)&SHC; - while (i--) { - GPU_BATCH_DISCARD_SAFE(*batch); - batch++; - } + uint i = sizeof(SHC) / sizeof(GPUBatch *); + GPUBatch **batch = (GPUBatch **)&SHC; + while (i--) { + GPU_BATCH_DISCARD_SAFE(*batch); + batch++; + } } void DRW_shape_cache_reset(void) { - uint i = sizeof(SHC) / sizeof(GPUBatch *); - GPUBatch **batch = (GPUBatch **)&SHC; - while (i--) { - if (*batch) { - GPU_batch_vao_cache_clear(*batch); - } - batch++; - } + uint i = sizeof(SHC) / sizeof(GPUBatch *); + GPUBatch **batch = (GPUBatch **)&SHC; + while (i--) { + if (*batch) { + GPU_batch_vao_cache_clear(*batch); + } + batch++; + } } /* -------------------------------------------------------------------- */ /** \name Helper functions * \{ */ -static void UNUSED_FUNCTION(add_fancy_edge)( - GPUVertBuf *vbo, uint pos_id, uint n1_id, uint n2_id, - uint *v_idx, const float co1[3], const float co2[3], - const float n1[3], const float n2[3]) +static void UNUSED_FUNCTION(add_fancy_edge)(GPUVertBuf *vbo, + uint pos_id, + uint n1_id, + uint n2_id, + uint *v_idx, + const float co1[3], + const float co2[3], + const float n1[3], + const float n2[3]) { - GPU_vertbuf_attr_set(vbo, n1_id, *v_idx, n1); - GPU_vertbuf_attr_set(vbo, n2_id, *v_idx, n2); - GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, co1); + GPU_vertbuf_attr_set(vbo, n1_id, *v_idx, n1); + GPU_vertbuf_attr_set(vbo, n2_id, *v_idx, n2); + GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, co1); - GPU_vertbuf_attr_set(vbo, n1_id, *v_idx, n1); - GPU_vertbuf_attr_set(vbo, n2_id, *v_idx, n2); - GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, co2); + GPU_vertbuf_attr_set(vbo, n1_id, *v_idx, n1); + GPU_vertbuf_attr_set(vbo, n2_id, *v_idx, n2); + GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, co2); } -#if 0 /* UNUSED */ +#if 0 /* UNUSED */ static void add_lat_lon_vert( GPUVertBuf *vbo, uint pos_id, uint nor_id, uint *v_idx, const float rad, const float lat, const float lon) { - float pos[3], nor[3]; - nor[0] = sinf(lat) * cosf(lon); - nor[1] = cosf(lat); - nor[2] = sinf(lat) * sinf(lon); - mul_v3_v3fl(pos, nor, rad); + float pos[3], nor[3]; + nor[0] = sinf(lat) * cosf(lon); + nor[1] = cosf(lat); + nor[2] = sinf(lat) * sinf(lon); + mul_v3_v3fl(pos, nor, rad); - GPU_vertbuf_attr_set(vbo, nor_id, *v_idx, nor); - GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, pos); + GPU_vertbuf_attr_set(vbo, nor_id, *v_idx, nor); + GPU_vertbuf_attr_set(vbo, pos_id, (*v_idx)++, pos); } static GPUVertBuf *fill_arrows_vbo(const float scale) { - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = { 0 }; + static struct { uint pos; } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - /* Line */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 6 * 3); + /* Line */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 6 * 3); - float v1[3] = {0.0, 0.0, 0.0}; - float v2[3] = {0.0, 0.0, 0.0}; - float vtmp1[3], vtmp2[3]; + float v1[3] = {0.0, 0.0, 0.0}; + float v2[3] = {0.0, 0.0, 0.0}; + float vtmp1[3], vtmp2[3]; - for (int axis = 0; axis < 3; axis++) { - const int arrow_axis = (axis == 0) ? 1 : 0; + for (int axis = 0; axis < 3; axis++) { + const int arrow_axis = (axis == 0) ? 1 : 0; - v2[axis] = 1.0f; - mul_v3_v3fl(vtmp1, v1, scale); - mul_v3_v3fl(vtmp2, v2, scale); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 0, vtmp1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 1, vtmp2); + v2[axis] = 1.0f; + mul_v3_v3fl(vtmp1, v1, scale); + mul_v3_v3fl(vtmp2, v2, scale); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 0, vtmp1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 1, vtmp2); - v1[axis] = 0.85f; - v1[arrow_axis] = -0.08f; - mul_v3_v3fl(vtmp1, v1, scale); - mul_v3_v3fl(vtmp2, v2, scale); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 2, vtmp1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 3, vtmp2); + v1[axis] = 0.85f; + v1[arrow_axis] = -0.08f; + mul_v3_v3fl(vtmp1, v1, scale); + mul_v3_v3fl(vtmp2, v2, scale); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 2, vtmp1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 3, vtmp2); - v1[arrow_axis] = 0.08f; - mul_v3_v3fl(vtmp1, v1, scale); - mul_v3_v3fl(vtmp2, v2, scale); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 4, vtmp1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 5, vtmp2); + v1[arrow_axis] = 0.08f; + mul_v3_v3fl(vtmp1, v1, scale); + mul_v3_v3fl(vtmp2, v2, scale); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 4, vtmp1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 6 + 5, vtmp2); - /* reset v1 & v2 to zero */ - v1[arrow_axis] = v1[axis] = v2[axis] = 0.0f; - } + /* reset v1 & v2 to zero */ + v1[arrow_axis] = v1[axis] = v2[axis] = 0.0f; + } - return vbo; + return vbo; } -#endif /* UNUSED */ +#endif /* UNUSED */ static GPUVertBuf *sphere_wire_vbo(const float rad) { #define NSEGMENTS 32 - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2 * 3); - - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = rad * cosf(angle); - p[i][1] = rad * sinf(angle); - } - - for (int axis = 0; axis < 3; ++axis) { - for (int i = 0; i < NSEGMENTS; ++i) { - for (int j = 0; j < 2; ++j) { - float cv[2], v[3]; - - cv[0] = p[(i + j) % NSEGMENTS][0]; - cv[1] = p[(i + j) % NSEGMENTS][1]; - - if (axis == 0) { - ARRAY_SET_ITEMS(v, cv[0], cv[1], 0.0f); - } - else if (axis == 1) { - ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); - } - else { - ARRAY_SET_ITEMS(v, 0.0f, cv[0], cv[1]); - } - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + j + (NSEGMENTS * 2 * axis), v); - } - } - } - - return vbo; + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2 * 3); + + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = rad * cosf(angle); + p[i][1] = rad * sinf(angle); + } + + for (int axis = 0; axis < 3; ++axis) { + for (int i = 0; i < NSEGMENTS; ++i) { + for (int j = 0; j < 2; ++j) { + float cv[2], v[3]; + + cv[0] = p[(i + j) % NSEGMENTS][0]; + cv[1] = p[(i + j) % NSEGMENTS][1]; + + if (axis == 0) { + ARRAY_SET_ITEMS(v, cv[0], cv[1], 0.0f); + } + else if (axis == 1) { + ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); + } + else { + ARRAY_SET_ITEMS(v, 0.0f, cv[0], cv[1]); + } + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + j + (NSEGMENTS * 2 * axis), v); + } + } + } + + return vbo; #undef NSEGMENTS } @@ -269,137 +275,145 @@ static GPUVertBuf *sphere_wire_vbo(const float rad) /* Use this one for rendering fullscreen passes. For 3D objects use DRW_cache_quad_get(). */ GPUBatch *DRW_cache_fullscreen_quad_get(void) { - if (!SHC.drw_fullscreen_quad) { - /* Use a triangle instead of a real quad */ - /* https://www.slideshare.net/DevCentralAMD/vertex-shader-tricks-bill-bilodeau - slide 14 */ - float pos[3][2] = {{-1.0f, -1.0f}, { 3.0f, -1.0f}, {-1.0f, 3.0f}}; - float uvs[3][2] = {{ 0.0f, 0.0f}, { 2.0f, 0.0f}, { 0.0f, 2.0f}}; + if (!SHC.drw_fullscreen_quad) { + /* Use a triangle instead of a real quad */ + /* https://www.slideshare.net/DevCentralAMD/vertex-shader-tricks-bill-bilodeau - slide 14 */ + float pos[3][2] = {{-1.0f, -1.0f}, {3.0f, -1.0f}, {-1.0f, 3.0f}}; + float uvs[3][2] = {{0.0f, 0.0f}, {2.0f, 0.0f}, {0.0f, 2.0f}}; - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos, uvs; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.uvs = GPU_vertformat_attr_add(&format, "uvs", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - GPU_vertformat_alias_add(&format, "texCoord"); - } + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos, uvs; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.uvs = GPU_vertformat_attr_add(&format, "uvs", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + GPU_vertformat_alias_add(&format, "texCoord"); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 3); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 3); - for (int i = 0; i < 3; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, pos[i]); - GPU_vertbuf_attr_set(vbo, attr_id.uvs, i, uvs[i]); - } + for (int i = 0; i < 3; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, pos[i]); + GPU_vertbuf_attr_set(vbo, attr_id.uvs, i, uvs[i]); + } - SHC.drw_fullscreen_quad = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_fullscreen_quad; + SHC.drw_fullscreen_quad = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_fullscreen_quad; } /* Just a regular quad with 4 vertices. */ GPUBatch *DRW_cache_quad_get(void) { - if (!SHC.drw_quad) { - float pos[4][2] = {{-1.0f, -1.0f}, { 1.0f, -1.0f}, {1.0f, 1.0f}, {-1.0f, 1.0f}}; - float uvs[4][2] = {{ 0.0f, 0.0f}, { 1.0f, 0.0f}, {1.0f, 1.0f}, { 0.0f, 1.0f}}; + if (!SHC.drw_quad) { + float pos[4][2] = {{-1.0f, -1.0f}, {1.0f, -1.0f}, {1.0f, 1.0f}, {-1.0f, 1.0f}}; + float uvs[4][2] = {{0.0f, 0.0f}, {1.0f, 0.0f}, {1.0f, 1.0f}, {0.0f, 1.0f}}; - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos, uvs; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.uvs = GPU_vertformat_attr_add(&format, "uvs", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos, uvs; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.uvs = GPU_vertformat_attr_add(&format, "uvs", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 4); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 4); - for (int i = 0; i < 4; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, pos[i]); - GPU_vertbuf_attr_set(vbo, attr_id.uvs, i, uvs[i]); - } + for (int i = 0; i < 4; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, pos[i]); + GPU_vertbuf_attr_set(vbo, attr_id.uvs, i, uvs[i]); + } - SHC.drw_quad = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_quad; + SHC.drw_quad = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_quad; } /* Just a regular quad with 4 vertices - wires. */ GPUBatch *DRW_cache_quad_wires_get(void) { - if (!SHC.drw_quad_wires) { - float pos[4][2] = {{-1.0f, -1.0f}, { 1.0f, -1.0f}, {1.0f, 1.0f}, {-1.0f, 1.0f}}; + if (!SHC.drw_quad_wires) { + float pos[4][2] = {{-1.0f, -1.0f}, {1.0f, -1.0f}, {1.0f, 1.0f}, {-1.0f, 1.0f}}; - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 8); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 8); - for (int i = 0; i < 4; i++) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2, pos[i % 4]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + 1, pos[(i + 1) % 4]); - } + for (int i = 0; i < 4; i++) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2, pos[i % 4]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + 1, pos[(i + 1) % 4]); + } - SHC.drw_quad_wires = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_quad_wires; + SHC.drw_quad_wires = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_quad_wires; } /* Grid */ GPUBatch *DRW_cache_grid_get(void) { - if (!SHC.drw_grid) { - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 8 * 8 * 2 * 3); - - uint v_idx = 0; - for (int i = 0; i < 8; ++i) { - for (int j = 0; j < 8; ++j) { - float pos0[2] = {(float)i / 8.0f, (float)j / 8.0f}; - float pos1[2] = {(float)(i + 1) / 8.0f, (float)j / 8.0f}; - float pos2[2] = {(float)i / 8.0f, (float)(j + 1) / 8.0f}; - float pos3[2] = {(float)(i + 1) / 8.0f, (float)(j + 1) / 8.0f}; - - madd_v2_v2v2fl(pos0, (float[2]){-1.0f, -1.0f}, pos0, 2.0f); - madd_v2_v2v2fl(pos1, (float[2]){-1.0f, -1.0f}, pos1, 2.0f); - madd_v2_v2v2fl(pos2, (float[2]){-1.0f, -1.0f}, pos2, 2.0f); - madd_v2_v2v2fl(pos3, (float[2]){-1.0f, -1.0f}, pos3, 2.0f); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos0); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos2); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos3); - } - } - - SHC.drw_grid = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_grid; + if (!SHC.drw_grid) { + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 8 * 8 * 2 * 3); + + uint v_idx = 0; + for (int i = 0; i < 8; ++i) { + for (int j = 0; j < 8; ++j) { + float pos0[2] = {(float)i / 8.0f, (float)j / 8.0f}; + float pos1[2] = {(float)(i + 1) / 8.0f, (float)j / 8.0f}; + float pos2[2] = {(float)i / 8.0f, (float)(j + 1) / 8.0f}; + float pos3[2] = {(float)(i + 1) / 8.0f, (float)(j + 1) / 8.0f}; + + madd_v2_v2v2fl(pos0, (float[2]){-1.0f, -1.0f}, pos0, 2.0f); + madd_v2_v2v2fl(pos1, (float[2]){-1.0f, -1.0f}, pos1, 2.0f); + madd_v2_v2v2fl(pos2, (float[2]){-1.0f, -1.0f}, pos2, 2.0f); + madd_v2_v2v2fl(pos3, (float[2]){-1.0f, -1.0f}, pos3, 2.0f); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos0); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos2); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos2); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, pos3); + } + } + + SHC.drw_grid = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_grid; } /* Sphere */ GPUBatch *DRW_cache_sphere_get(void) { - if (!SHC.drw_sphere) { - SHC.drw_sphere = gpu_batch_sphere(32, 24); - } - return SHC.drw_sphere; + if (!SHC.drw_sphere) { + SHC.drw_sphere = gpu_batch_sphere(32, 24); + } + return SHC.drw_sphere; } /** \} */ @@ -410,918 +424,955 @@ GPUBatch *DRW_cache_sphere_get(void) GPUBatch *DRW_cache_cube_get(void) { - if (!SHC.drw_cube) { - const GLfloat verts[8][3] = { - {-1.0f, -1.0f, -1.0f}, - {-1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f}, - {-1.0f, 1.0f, 1.0f}, - { 1.0f, -1.0f, -1.0f}, - { 1.0f, -1.0f, 1.0f}, - { 1.0f, 1.0f, -1.0f}, - { 1.0f, 1.0f, 1.0f}, - }; - - const uint indices[36] = { - 0, 1, 2, - 1, 3, 2, - 0, 4, 1, - 4, 5, 1, - 6, 5, 4, - 6, 7, 5, - 2, 7, 6, - 2, 3, 7, - 3, 1, 7, - 1, 5, 7, - 0, 2, 4, - 2, 6, 4, - }; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 36); - - for (int i = 0; i < 36; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, verts[indices[i]]); - } - - SHC.drw_cube = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_cube; + if (!SHC.drw_cube) { + const GLfloat verts[8][3] = { + {-1.0f, -1.0f, -1.0f}, + {-1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f}, + {-1.0f, 1.0f, 1.0f}, + {1.0f, -1.0f, -1.0f}, + {1.0f, -1.0f, 1.0f}, + {1.0f, 1.0f, -1.0f}, + {1.0f, 1.0f, 1.0f}, + }; + + const uint indices[36] = { + 0, 1, 2, 1, 3, 2, 0, 4, 1, 4, 5, 1, 6, 5, 4, 6, 7, 5, + 2, 7, 6, 2, 3, 7, 3, 1, 7, 1, 5, 7, 0, 2, 4, 2, 6, 4, + }; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 36); + + for (int i = 0; i < 36; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, verts[indices[i]]); + } + + SHC.drw_cube = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_cube; } GPUBatch *DRW_cache_empty_cube_get(void) { - if (!SHC.drw_empty_cube) { - const GLfloat verts[8][3] = { - {-1.0f, -1.0f, -1.0f}, - {-1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f}, - {-1.0f, 1.0f, 1.0f}, - { 1.0f, -1.0f, -1.0f}, - { 1.0f, -1.0f, 1.0f}, - { 1.0f, 1.0f, -1.0f}, - { 1.0f, 1.0f, 1.0f}, - }; - - const GLubyte indices[24] = {0, 1, 1, 3, 3, 2, 2, 0, 0, 4, 4, 5, 5, 7, 7, 6, 6, 4, 1, 5, 3, 7, 2, 6}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 24); - - for (int i = 0; i < 24; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, verts[indices[i]]); - } - - SHC.drw_empty_cube = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_cube; + if (!SHC.drw_empty_cube) { + const GLfloat verts[8][3] = { + {-1.0f, -1.0f, -1.0f}, + {-1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f}, + {-1.0f, 1.0f, 1.0f}, + {1.0f, -1.0f, -1.0f}, + {1.0f, -1.0f, 1.0f}, + {1.0f, 1.0f, -1.0f}, + {1.0f, 1.0f, 1.0f}, + }; + + const GLubyte indices[24] = {0, 1, 1, 3, 3, 2, 2, 0, 0, 4, 4, 5, + 5, 7, 7, 6, 6, 4, 1, 5, 3, 7, 2, 6}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 24); + + for (int i = 0; i < 24; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, verts[indices[i]]); + } + + SHC.drw_empty_cube = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_cube; } GPUBatch *DRW_cache_circle_get(void) { #define CIRCLE_RESOL 64 - if (!SHC.drw_circle) { - float v[3] = {0.0f, 0.0f, 0.0f}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); - - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); - } - - SHC.drw_circle = GPU_batch_create_ex(GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_circle; + if (!SHC.drw_circle) { + float v[3] = {0.0f, 0.0f, 0.0f}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); + + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); + } + + SHC.drw_circle = GPU_batch_create_ex(GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_circle; #undef CIRCLE_RESOL } GPUBatch *DRW_cache_square_get(void) { - if (!SHC.drw_square) { - float p[4][3] = { - { 1.0f, 0.0f, 1.0f}, - { 1.0f, 0.0f, -1.0f}, - {-1.0f, 0.0f, -1.0f}, - {-1.0f, 0.0f, 1.0f}}; + if (!SHC.drw_square) { + float p[4][3] = { + {1.0f, 0.0f, 1.0f}, {1.0f, 0.0f, -1.0f}, {-1.0f, 0.0f, -1.0f}, {-1.0f, 0.0f, 1.0f}}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 8); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 8); - for (int i = 0; i < 4; i++) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2, p[i % 4]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + 1, p[(i + 1) % 4]); - } + for (int i = 0; i < 4; i++) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2, p[i % 4]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 2 + 1, p[(i + 1) % 4]); + } - SHC.drw_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_square; + SHC.drw_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_square; } GPUBatch *DRW_cache_single_line_get(void) { - /* Z axis line */ - if (!SHC.drw_line) { - float v1[3] = {0.0f, 0.0f, 0.0f}; - float v2[3] = {0.0f, 0.0f, 1.0f}; + /* Z axis line */ + if (!SHC.drw_line) { + float v1[3] = {0.0f, 0.0f, 0.0f}; + float v2[3] = {0.0f, 0.0f, 1.0f}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 2); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v2); - SHC.drw_line = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_line; + SHC.drw_line = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_line; } GPUBatch *DRW_cache_single_line_endpoints_get(void) { - /* Z axis line */ - if (!SHC.drw_line_endpoints) { - float v1[3] = {0.0f, 0.0f, 0.0f}; - float v2[3] = {0.0f, 0.0f, 1.0f}; + /* Z axis line */ + if (!SHC.drw_line_endpoints) { + float v1[3] = {0.0f, 0.0f, 0.0f}; + float v2[3] = {0.0f, 0.0f, 1.0f}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 2); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v2); - SHC.drw_line_endpoints = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_line_endpoints; + SHC.drw_line_endpoints = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_line_endpoints; } GPUBatch *DRW_cache_screenspace_circle_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_screenspace_circle) { - float v[3] = {0.0f, 0.0f, 0.0f}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL + 1); - - for (int a = 0; a <= CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); - } - - SHC.drw_screenspace_circle = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_screenspace_circle; + if (!SHC.drw_screenspace_circle) { + float v[3] = {0.0f, 0.0f, 0.0f}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL + 1); + + for (int a = 0; a <= CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); + } + + SHC.drw_screenspace_circle = GPU_batch_create_ex( + GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_screenspace_circle; #undef CIRCLE_RESOL } /* Grease Pencil object */ GPUBatch *DRW_cache_gpencil_axes_get(void) { - if (!SHC.drw_gpencil_axes) { - int axis; - float v1[3] = { 0.0f, 0.0f, 0.0f }; - float v2[3] = { 0.0f, 0.0f, 0.0f }; + if (!SHC.drw_gpencil_axes) { + int axis; + float v1[3] = {0.0f, 0.0f, 0.0f}; + float v2[3] = {0.0f, 0.0f, 0.0f}; - /* cube data */ - const GLfloat verts[8][3] = { - { -0.25f, -0.25f, -0.25f }, - { -0.25f, -0.25f, 0.25f }, - { -0.25f, 0.25f, -0.25f }, - { -0.25f, 0.25f, 0.25f }, - { 0.25f, -0.25f, -0.25f }, - { 0.25f, -0.25f, 0.25f }, - { 0.25f, 0.25f, -0.25f }, - { 0.25f, 0.25f, 0.25f } - }; + /* cube data */ + const GLfloat verts[8][3] = {{-0.25f, -0.25f, -0.25f}, + {-0.25f, -0.25f, 0.25f}, + {-0.25f, 0.25f, -0.25f}, + {-0.25f, 0.25f, 0.25f}, + {0.25f, -0.25f, -0.25f}, + {0.25f, -0.25f, 0.25f}, + {0.25f, 0.25f, -0.25f}, + {0.25f, 0.25f, 0.25f}}; - const GLubyte indices[24] = { 0, 1, 1, 3, 3, 2, 2, 0, 0, 4, 4, 5, 5, 7, 7, 6, 6, 4, 1, 5, 3, 7, 2, 6 }; + const GLubyte indices[24] = {0, 1, 1, 3, 3, 2, 2, 0, 0, 4, 4, 5, + 5, 7, 7, 6, 6, 4, 1, 5, 3, 7, 2, 6}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static uint pos_id; - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static uint pos_id; + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - /* alloc 30 elements for cube and 3 axis */ - GPU_vertbuf_data_alloc(vbo, ARRAY_SIZE(indices) + 6); + /* alloc 30 elements for cube and 3 axis */ + GPU_vertbuf_data_alloc(vbo, ARRAY_SIZE(indices) + 6); - /* draw axis */ - for (axis = 0; axis < 3; axis++) { - v1[axis] = 1.0f; - v2[axis] = -1.0f; + /* draw axis */ + for (axis = 0; axis < 3; axis++) { + v1[axis] = 1.0f; + v2[axis] = -1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, axis * 2, v1); - GPU_vertbuf_attr_set(vbo, pos_id, axis * 2 + 1, v2); + GPU_vertbuf_attr_set(vbo, pos_id, axis * 2, v1); + GPU_vertbuf_attr_set(vbo, pos_id, axis * 2 + 1, v2); - /* reset v1 & v2 to zero for next axis */ - v1[axis] = v2[axis] = 0.0f; - } + /* reset v1 & v2 to zero for next axis */ + v1[axis] = v2[axis] = 0.0f; + } - /* draw cube */ - for (int i = 0; i < 24; ++i) { - GPU_vertbuf_attr_set(vbo, pos_id, i + 6, verts[indices[i]]); - } + /* draw cube */ + for (int i = 0; i < 24; ++i) { + GPU_vertbuf_attr_set(vbo, pos_id, i + 6, verts[indices[i]]); + } - SHC.drw_gpencil_axes = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_gpencil_axes; + SHC.drw_gpencil_axes = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_gpencil_axes; } - /* -------------------------------------------------------------------- */ /** \name Common Object API * \{ */ GPUBatch *DRW_cache_object_all_edges_get(Object *ob) { - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_all_edges_get(ob); + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_all_edges_get(ob); - /* TODO, should match 'DRW_cache_object_surface_get' */ - default: - return NULL; - } + /* TODO, should match 'DRW_cache_object_surface_get' */ + default: + return NULL; + } } GPUBatch *DRW_cache_object_edge_detection_get(Object *ob, bool *r_is_manifold) { - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_edge_detection_get(ob, r_is_manifold); - case OB_CURVE: - return DRW_cache_curve_edge_detection_get(ob, r_is_manifold); - case OB_SURF: - return DRW_cache_surf_edge_detection_get(ob, r_is_manifold); - case OB_FONT: - return DRW_cache_text_edge_detection_get(ob, r_is_manifold); - case OB_MBALL: - return DRW_cache_mball_edge_detection_get(ob, r_is_manifold); - default: - return NULL; - } + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_edge_detection_get(ob, r_is_manifold); + case OB_CURVE: + return DRW_cache_curve_edge_detection_get(ob, r_is_manifold); + case OB_SURF: + return DRW_cache_surf_edge_detection_get(ob, r_is_manifold); + case OB_FONT: + return DRW_cache_text_edge_detection_get(ob, r_is_manifold); + case OB_MBALL: + return DRW_cache_mball_edge_detection_get(ob, r_is_manifold); + default: + return NULL; + } } GPUBatch *DRW_cache_object_face_wireframe_get(Object *ob) { - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_face_wireframe_get(ob); - case OB_CURVE: - return DRW_cache_curve_face_wireframe_get(ob); - case OB_SURF: - return DRW_cache_surf_face_wireframe_get(ob); - case OB_FONT: - return DRW_cache_text_face_wireframe_get(ob); - case OB_MBALL: - return DRW_cache_mball_face_wireframe_get(ob); - default: - return NULL; - } + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_face_wireframe_get(ob); + case OB_CURVE: + return DRW_cache_curve_face_wireframe_get(ob); + case OB_SURF: + return DRW_cache_surf_face_wireframe_get(ob); + case OB_FONT: + return DRW_cache_text_face_wireframe_get(ob); + case OB_MBALL: + return DRW_cache_mball_face_wireframe_get(ob); + default: + return NULL; + } } GPUBatch *DRW_cache_object_loose_edges_get(struct Object *ob) { - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_loose_edges_get(ob); - case OB_CURVE: - return DRW_cache_curve_loose_edges_get(ob); - case OB_SURF: - return DRW_cache_surf_loose_edges_get(ob); - case OB_FONT: - return DRW_cache_text_loose_edges_get(ob); - case OB_MBALL: - /* Cannot have any loose edge */ - default: - return NULL; - } + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_loose_edges_get(ob); + case OB_CURVE: + return DRW_cache_curve_loose_edges_get(ob); + case OB_SURF: + return DRW_cache_surf_loose_edges_get(ob); + case OB_FONT: + return DRW_cache_text_loose_edges_get(ob); + case OB_MBALL: + /* Cannot have any loose edge */ + default: + return NULL; + } } GPUBatch *DRW_cache_object_surface_get(Object *ob) { - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_surface_get(ob); - case OB_CURVE: - return DRW_cache_curve_surface_get(ob); - case OB_SURF: - return DRW_cache_surf_surface_get(ob); - case OB_FONT: - return DRW_cache_text_surface_get(ob); - case OB_MBALL: - return DRW_cache_mball_surface_get(ob); - default: - return NULL; - } -} - -GPUBatch **DRW_cache_object_surface_material_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count) -{ - if (auto_layer_names != NULL) { - *auto_layer_names = NULL; - *auto_layer_is_srgb = NULL; - *auto_layer_count = 0; - } - - switch (ob->type) { - case OB_MESH: - return DRW_cache_mesh_surface_shaded_get( - ob, gpumat_array, gpumat_array_len, - auto_layer_names, auto_layer_is_srgb, auto_layer_count); - case OB_CURVE: - return DRW_cache_curve_surface_shaded_get(ob, gpumat_array, gpumat_array_len); - case OB_SURF: - return DRW_cache_surf_surface_shaded_get(ob, gpumat_array, gpumat_array_len); - case OB_FONT: - return DRW_cache_text_surface_shaded_get(ob, gpumat_array, gpumat_array_len); - case OB_MBALL: - return DRW_cache_mball_surface_shaded_get(ob, gpumat_array, gpumat_array_len); - default: - return NULL; - } + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_surface_get(ob); + case OB_CURVE: + return DRW_cache_curve_surface_get(ob); + case OB_SURF: + return DRW_cache_surf_surface_get(ob); + case OB_FONT: + return DRW_cache_text_surface_get(ob); + case OB_MBALL: + return DRW_cache_mball_surface_get(ob); + default: + return NULL; + } +} + +GPUBatch **DRW_cache_object_surface_material_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count) +{ + if (auto_layer_names != NULL) { + *auto_layer_names = NULL; + *auto_layer_is_srgb = NULL; + *auto_layer_count = 0; + } + + switch (ob->type) { + case OB_MESH: + return DRW_cache_mesh_surface_shaded_get(ob, + gpumat_array, + gpumat_array_len, + auto_layer_names, + auto_layer_is_srgb, + auto_layer_count); + case OB_CURVE: + return DRW_cache_curve_surface_shaded_get(ob, gpumat_array, gpumat_array_len); + case OB_SURF: + return DRW_cache_surf_surface_shaded_get(ob, gpumat_array, gpumat_array_len); + case OB_FONT: + return DRW_cache_text_surface_shaded_get(ob, gpumat_array, gpumat_array_len); + case OB_MBALL: + return DRW_cache_mball_surface_shaded_get(ob, gpumat_array, gpumat_array_len); + default: + return NULL; + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Empties * \{ */ GPUBatch *DRW_cache_plain_axes_get(void) { - if (!SHC.drw_plain_axes) { - int axis; - float v1[3] = {0.0f, 0.0f, 0.0f}; - float v2[3] = {0.0f, 0.0f, 0.0f}; + if (!SHC.drw_plain_axes) { + int axis; + float v1[3] = {0.0f, 0.0f, 0.0f}; + float v2[3] = {0.0f, 0.0f, 0.0f}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 6); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 6); - for (axis = 0; axis < 3; axis++) { - v1[axis] = 1.0f; - v2[axis] = -1.0f; + for (axis = 0; axis < 3; axis++) { + v1[axis] = 1.0f; + v2[axis] = -1.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 2, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 2 + 1, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 2, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, axis * 2 + 1, v2); - /* reset v1 & v2 to zero for next axis */ - v1[axis] = v2[axis] = 0.0f; - } + /* reset v1 & v2 to zero for next axis */ + v1[axis] = v2[axis] = 0.0f; + } - SHC.drw_plain_axes = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_plain_axes; + SHC.drw_plain_axes = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_plain_axes; } GPUBatch *DRW_cache_single_arrow_get(void) { - if (!SHC.drw_single_arrow) { - float v1[3] = {0.0f, 0.0f, 1.0f}, v2[3], v3[3]; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - /* Square Pyramid */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 12); - - v2[0] = 0.035f; v2[1] = 0.035f; - v3[0] = -0.035f; v3[1] = 0.035f; - v2[2] = v3[2] = 0.75f; - - for (int sides = 0; sides < 4; sides++) { - if (sides % 2 == 1) { - v2[0] = -v2[0]; - v3[1] = -v3[1]; - } - else { - v2[1] = -v2[1]; - v3[0] = -v3[0]; - } - - GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 0, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 1, v2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 2, v3); - } - - SHC.drw_single_arrow = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_single_arrow; + if (!SHC.drw_single_arrow) { + float v1[3] = {0.0f, 0.0f, 1.0f}, v2[3], v3[3]; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + /* Square Pyramid */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 12); + + v2[0] = 0.035f; + v2[1] = 0.035f; + v3[0] = -0.035f; + v3[1] = 0.035f; + v2[2] = v3[2] = 0.75f; + + for (int sides = 0; sides < 4; sides++) { + if (sides % 2 == 1) { + v2[0] = -v2[0]; + v3[1] = -v3[1]; + } + else { + v2[1] = -v2[1]; + v3[0] = -v3[0]; + } + + GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 0, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 1, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos, sides * 3 + 2, v3); + } + + SHC.drw_single_arrow = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_single_arrow; } GPUBatch *DRW_cache_empty_sphere_get(void) { - if (!SHC.drw_empty_sphere) { - GPUVertBuf *vbo = sphere_wire_vbo(1.0f); - SHC.drw_empty_sphere = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_sphere; + if (!SHC.drw_empty_sphere) { + GPUVertBuf *vbo = sphere_wire_vbo(1.0f); + SHC.drw_empty_sphere = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_sphere; } GPUBatch *DRW_cache_empty_cone_get(void) { #define NSEGMENTS 8 - if (!SHC.drw_empty_cone) { - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = cosf(angle); - p[i][1] = sinf(angle); - } - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 4); - - for (int i = 0; i < NSEGMENTS; ++i) { - float cv[2], v[3]; - cv[0] = p[(i) % NSEGMENTS][0]; - cv[1] = p[(i) % NSEGMENTS][1]; - - /* cone sides */ - ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4, v); - ARRAY_SET_ITEMS(v, 0.0f, 2.0f, 0.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 1, v); - - /* end ring */ - ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 2, v); - cv[0] = p[(i + 1) % NSEGMENTS][0]; - cv[1] = p[(i + 1) % NSEGMENTS][1]; - ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 3, v); - } - - SHC.drw_empty_cone = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_cone; + if (!SHC.drw_empty_cone) { + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = cosf(angle); + p[i][1] = sinf(angle); + } + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 4); + + for (int i = 0; i < NSEGMENTS; ++i) { + float cv[2], v[3]; + cv[0] = p[(i) % NSEGMENTS][0]; + cv[1] = p[(i) % NSEGMENTS][1]; + + /* cone sides */ + ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4, v); + ARRAY_SET_ITEMS(v, 0.0f, 2.0f, 0.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 1, v); + + /* end ring */ + ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 2, v); + cv[0] = p[(i + 1) % NSEGMENTS][0]; + cv[1] = p[(i + 1) % NSEGMENTS][1]; + ARRAY_SET_ITEMS(v, cv[0], 0.0f, cv[1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 3, v); + } + + SHC.drw_empty_cone = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_cone; #undef NSEGMENTS } GPUBatch *DRW_cache_empty_cylinder_get(void) { #define NSEGMENTS 12 - if (!SHC.drw_empty_cylinder) { - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = cosf(angle); - p[i][1] = sinf(angle); - } - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 6); - - for (int i = 0; i < NSEGMENTS; ++i) { - float cv[2], pv[2], v[3]; - cv[0] = p[(i) % NSEGMENTS][0]; - cv[1] = p[(i) % NSEGMENTS][1]; - pv[0] = p[(i + 1) % NSEGMENTS][0]; - pv[1] = p[(i + 1) % NSEGMENTS][1]; - - /* cylinder sides */ - copy_v3_fl3(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6, v); - copy_v3_fl3(v, cv[0], cv[1], 1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 1, v); - - /* top ring */ - copy_v3_fl3(v, cv[0], cv[1], 1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 2, v); - copy_v3_fl3(v, pv[0], pv[1], 1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 3, v); - - /* bottom ring */ - copy_v3_fl3(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 4, v); - copy_v3_fl3(v, pv[0], pv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 5, v); - } - - SHC.drw_empty_cylinder = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_cylinder; + if (!SHC.drw_empty_cylinder) { + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = cosf(angle); + p[i][1] = sinf(angle); + } + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 6); + + for (int i = 0; i < NSEGMENTS; ++i) { + float cv[2], pv[2], v[3]; + cv[0] = p[(i) % NSEGMENTS][0]; + cv[1] = p[(i) % NSEGMENTS][1]; + pv[0] = p[(i + 1) % NSEGMENTS][0]; + pv[1] = p[(i + 1) % NSEGMENTS][1]; + + /* cylinder sides */ + copy_v3_fl3(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6, v); + copy_v3_fl3(v, cv[0], cv[1], 1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 1, v); + + /* top ring */ + copy_v3_fl3(v, cv[0], cv[1], 1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 2, v); + copy_v3_fl3(v, pv[0], pv[1], 1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 3, v); + + /* bottom ring */ + copy_v3_fl3(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 4, v); + copy_v3_fl3(v, pv[0], pv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 6 + 5, v); + } + + SHC.drw_empty_cylinder = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_cylinder; #undef NSEGMENTS } GPUBatch *DRW_cache_empty_capsule_body_get(void) { - if (!SHC.drw_empty_capsule_body) { - const float pos[8][3] = { - { 1.0f, 0.0f, 1.0f}, - { 1.0f, 0.0f, 0.0f}, - { 0.0f, 1.0f, 1.0f}, - { 0.0f, 1.0f, 0.0f}, - {-1.0f, 0.0f, 1.0f}, - {-1.0f, 0.0f, 0.0f}, - { 0.0f, -1.0f, 1.0f}, - { 0.0f, -1.0f, 0.0f}, - }; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 8); - GPU_vertbuf_attr_fill(vbo, attr_id.pos, pos); - - SHC.drw_empty_capsule_body = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_capsule_body; + if (!SHC.drw_empty_capsule_body) { + const float pos[8][3] = { + {1.0f, 0.0f, 1.0f}, + {1.0f, 0.0f, 0.0f}, + {0.0f, 1.0f, 1.0f}, + {0.0f, 1.0f, 0.0f}, + {-1.0f, 0.0f, 1.0f}, + {-1.0f, 0.0f, 0.0f}, + {0.0f, -1.0f, 1.0f}, + {0.0f, -1.0f, 0.0f}, + }; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 8); + GPU_vertbuf_attr_fill(vbo, attr_id.pos, pos); + + SHC.drw_empty_capsule_body = GPU_batch_create_ex( + GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_capsule_body; } GPUBatch *DRW_cache_empty_capsule_cap_get(void) { #define NSEGMENTS 24 /* Must be multiple of 2. */ - if (!SHC.drw_empty_capsule_cap) { - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = cosf(angle); - p[i][1] = sinf(angle); - } - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (NSEGMENTS * 2) * 2); - - /* Base circle */ - int vidx = 0; - for (int i = 0; i < NSEGMENTS; ++i) { - float v[3] = {0.0f, 0.0f, 0.0f}; - copy_v2_v2(v, p[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - copy_v2_v2(v, p[(i + 1) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - for (int i = 0; i < NSEGMENTS / 2; ++i) { - float v[3] = {0.0f, 0.0f, 0.0f}; - int ci = i % NSEGMENTS; - int pi = (i + 1) % NSEGMENTS; - /* Y half circle */ - copy_v3_fl3(v, p[ci][0], 0.0f, p[ci][1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - copy_v3_fl3(v, p[pi][0], 0.0f, p[pi][1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - /* X half circle */ - copy_v3_fl3(v, 0.0f, p[ci][0], p[ci][1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - copy_v3_fl3(v, 0.0f, p[pi][0], p[pi][1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - SHC.drw_empty_capsule_cap = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_empty_capsule_cap; + if (!SHC.drw_empty_capsule_cap) { + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = cosf(angle); + p[i][1] = sinf(angle); + } + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (NSEGMENTS * 2) * 2); + + /* Base circle */ + int vidx = 0; + for (int i = 0; i < NSEGMENTS; ++i) { + float v[3] = {0.0f, 0.0f, 0.0f}; + copy_v2_v2(v, p[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + copy_v2_v2(v, p[(i + 1) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + for (int i = 0; i < NSEGMENTS / 2; ++i) { + float v[3] = {0.0f, 0.0f, 0.0f}; + int ci = i % NSEGMENTS; + int pi = (i + 1) % NSEGMENTS; + /* Y half circle */ + copy_v3_fl3(v, p[ci][0], 0.0f, p[ci][1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + copy_v3_fl3(v, p[pi][0], 0.0f, p[pi][1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + /* X half circle */ + copy_v3_fl3(v, 0.0f, p[ci][0], p[ci][1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + copy_v3_fl3(v, 0.0f, p[pi][0], p[pi][1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + SHC.drw_empty_capsule_cap = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_empty_capsule_cap; #undef NSEGMENTS } GPUBatch *DRW_cache_image_plane_get(void) { - if (!SHC.drw_image_plane) { - const float quad[4][2] = {{0, 0}, {1, 0}, {1, 1}, {0, 1}}; - static GPUVertFormat format = { 0 }; - static struct { uint pos, texCoords; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.texCoords = GPU_vertformat_attr_add(&format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 4); - for (uint j = 0; j < 4; j++) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, j, quad[j]); - GPU_vertbuf_attr_set(vbo, attr_id.texCoords, j, quad[j]); - } - SHC.drw_image_plane = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_image_plane; + if (!SHC.drw_image_plane) { + const float quad[4][2] = {{0, 0}, {1, 0}, {1, 1}, {0, 1}}; + static GPUVertFormat format = {0}; + static struct { + uint pos, texCoords; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.texCoords = GPU_vertformat_attr_add( + &format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 4); + for (uint j = 0; j < 4; j++) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, j, quad[j]); + GPU_vertbuf_attr_set(vbo, attr_id.texCoords, j, quad[j]); + } + SHC.drw_image_plane = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_image_plane; } GPUBatch *DRW_cache_image_plane_wire_get(void) { - if (!SHC.drw_image_plane_wire) { - const float quad[4][2] = {{0, 0}, {1, 0}, {1, 1}, {0, 1}}; - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 4); - for (uint j = 0; j < 4; j++) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, j, quad[j]); - } - SHC.drw_image_plane_wire = GPU_batch_create_ex(GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_image_plane_wire; + if (!SHC.drw_image_plane_wire) { + const float quad[4][2] = {{0, 0}, {1, 0}, {1, 1}, {0, 1}}; + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 4); + for (uint j = 0; j < 4; j++) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, j, quad[j]); + } + SHC.drw_image_plane_wire = GPU_batch_create_ex( + GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_image_plane_wire; } /* Force Field */ GPUBatch *DRW_cache_field_wind_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_field_wind) { - float v[3] = {0.0f, 0.0f, 0.0f}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 4); - - for (int i = 0; i < 4; i++) { - float z = 0.05f * (float)i; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2 + 1, v); - } - } - - SHC.drw_field_wind = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_field_wind; + if (!SHC.drw_field_wind) { + float v[3] = {0.0f, 0.0f, 0.0f}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 4); + + for (int i = 0; i < 4; i++) { + float z = 0.05f * (float)i; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2 + 1, v); + } + } + + SHC.drw_field_wind = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_field_wind; #undef CIRCLE_RESOL } GPUBatch *DRW_cache_field_force_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_field_force) { - float v[3] = {0.0f, 0.0f, 0.0f}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 3); - - for (int i = 0; i < 3; i++) { - float radius = 1.0f + 0.5f * (float)i; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2, v); - - v[0] = radius * sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[1] = radius * cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[2] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2 + 1, v); - } - } - - SHC.drw_field_force = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_field_force; + if (!SHC.drw_field_force) { + float v[3] = {0.0f, 0.0f, 0.0f}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 3); + + for (int i = 0; i < 3; i++) { + float radius = 1.0f + 0.5f * (float)i; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2, v); + + v[0] = radius * sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[1] = radius * cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[2] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * CIRCLE_RESOL * 2 + a * 2 + 1, v); + } + } + + SHC.drw_field_force = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_field_force; #undef CIRCLE_RESOL } GPUBatch *DRW_cache_field_vortex_get(void) { #define SPIRAL_RESOL 32 - if (!SHC.drw_field_vortex) { - float v[3] = {0.0f, 0.0f, 0.0f}; - uint v_idx = 0; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, SPIRAL_RESOL * 2 + 1); - - for (int a = SPIRAL_RESOL; a > -1; a--) { - v[0] = sinf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); - v[1] = cosf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - - for (int a = 1; a <= SPIRAL_RESOL; a++) { - v[0] = -sinf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); - v[1] = -cosf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - - SHC.drw_field_vortex = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_field_vortex; + if (!SHC.drw_field_vortex) { + float v[3] = {0.0f, 0.0f, 0.0f}; + uint v_idx = 0; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, SPIRAL_RESOL * 2 + 1); + + for (int a = SPIRAL_RESOL; a > -1; a--) { + v[0] = sinf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); + v[1] = cosf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + + for (int a = 1; a <= SPIRAL_RESOL; a++) { + v[0] = -sinf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); + v[1] = -cosf((2.0f * M_PI * a) / ((float)SPIRAL_RESOL)) * (a / (float)SPIRAL_RESOL); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + + SHC.drw_field_vortex = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_field_vortex; #undef SPIRAL_RESOL } GPUBatch *DRW_cache_field_tube_limit_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_field_tube_limit) { - float v[3] = {0.0f, 0.0f, 0.0f}; - uint v_idx = 0; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 + 8); - - /* Caps */ - for (int i = 0; i < 2; i++) { - float z = (float)i * 2.0f - 1.0f; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - } - /* Side Edges */ - for (int a = 0; a < 4; a++) { - for (int i = 0; i < 2; i++) { - float z = (float)i * 2.0f - 1.0f; - v[0] = sinf((2.0f * M_PI * a) / 4.0f); - v[1] = cosf((2.0f * M_PI * a) / 4.0f); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - } - - SHC.drw_field_tube_limit = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_field_tube_limit; + if (!SHC.drw_field_tube_limit) { + float v[3] = {0.0f, 0.0f, 0.0f}; + uint v_idx = 0; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 + 8); + + /* Caps */ + for (int i = 0; i < 2; i++) { + float z = (float)i * 2.0f - 1.0f; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + } + /* Side Edges */ + for (int a = 0; a < 4; a++) { + for (int i = 0; i < 2; i++) { + float z = (float)i * 2.0f - 1.0f; + v[0] = sinf((2.0f * M_PI * a) / 4.0f); + v[1] = cosf((2.0f * M_PI * a) / 4.0f); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + } + + SHC.drw_field_tube_limit = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_field_tube_limit; #undef CIRCLE_RESOL } GPUBatch *DRW_cache_field_cone_limit_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_field_cone_limit) { - float v[3] = {0.0f, 0.0f, 0.0f}; - uint v_idx = 0; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 + 8); - - /* Caps */ - for (int i = 0; i < 2; i++) { - float z = (float)i * 2.0f - 1.0f; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - } - /* Side Edges */ - for (int a = 0; a < 4; a++) { - for (int i = 0; i < 2; i++) { - float z = (float)i * 2.0f - 1.0f; - v[0] = z * sinf((2.0f * M_PI * a) / 4.0f); - v[1] = z * cosf((2.0f * M_PI * a) / 4.0f); - v[2] = z; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - } - - SHC.drw_field_cone_limit = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_field_cone_limit; + if (!SHC.drw_field_cone_limit) { + float v[3] = {0.0f, 0.0f, 0.0f}; + uint v_idx = 0; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 + 8); + + /* Caps */ + for (int i = 0; i < 2; i++) { + float z = (float)i * 2.0f - 1.0f; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + } + /* Side Edges */ + for (int a = 0; a < 4; a++) { + for (int i = 0; i < 2; i++) { + float z = (float)i * 2.0f - 1.0f; + v[0] = z * sinf((2.0f * M_PI * a) / 4.0f); + v[1] = z * cosf((2.0f * M_PI * a) / 4.0f); + v[2] = z; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + } + + SHC.drw_field_cone_limit = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_field_cone_limit; #undef CIRCLE_RESOL } @@ -1334,412 +1385,429 @@ GPUBatch *DRW_cache_field_cone_limit_get(void) GPUBatch *DRW_cache_light_get(void) { #define NSEGMENTS 8 - if (!SHC.drw_light) { - float v[2]; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2); - - for (int a = 0; a < NSEGMENTS * 2; a += 2) { - v[0] = sinf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); - v[1] = cosf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a + 1, v); - } - - SHC.drw_light = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light; + if (!SHC.drw_light) { + float v[2]; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2); + + for (int a = 0; a < NSEGMENTS * 2; a += 2) { + v[0] = sinf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); + v[1] = cosf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a + 1, v); + } + + SHC.drw_light = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light; #undef NSEGMENTS } GPUBatch *DRW_cache_light_shadows_get(void) { #define NSEGMENTS 10 - if (!SHC.drw_light_shadows) { - float v[2]; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2); - - for (int a = 0; a < NSEGMENTS * 2; a += 2) { - v[0] = sinf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); - v[1] = cosf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a + 1, v); - } - - SHC.drw_light_shadows = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_shadows; + if (!SHC.drw_light_shadows) { + float v[2]; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 2); + + for (int a = 0; a < NSEGMENTS * 2; a += 2) { + v[0] = sinf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); + v[1] = cosf((2.0f * M_PI * a) / ((float)NSEGMENTS * 2)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)NSEGMENTS * 2)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a + 1, v); + } + + SHC.drw_light_shadows = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_shadows; #undef NSEGMENTS } GPUBatch *DRW_cache_light_sunrays_get(void) { - if (!SHC.drw_light_sunrays) { - float v[2], v1[2], v2[2]; + if (!SHC.drw_light_sunrays) { + float v[2], v1[2], v2[2]; - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 32); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 32); - for (int a = 0; a < 8; a++) { - v[0] = sinf((2.0f * M_PI * a) / 8.0f); - v[1] = cosf((2.0f * M_PI * a) / 8.0f); + for (int a = 0; a < 8; a++) { + v[0] = sinf((2.0f * M_PI * a) / 8.0f); + v[1] = cosf((2.0f * M_PI * a) / 8.0f); - mul_v2_v2fl(v1, v, 1.6f); - mul_v2_v2fl(v2, v, 1.9f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 1, v2); + mul_v2_v2fl(v1, v, 1.6f); + mul_v2_v2fl(v2, v, 1.9f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 1, v2); - mul_v2_v2fl(v1, v, 2.2f); - mul_v2_v2fl(v2, v, 2.5f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 2, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 3, v2); - } + mul_v2_v2fl(v1, v, 2.2f); + mul_v2_v2fl(v2, v, 2.5f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 2, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a * 4 + 3, v2); + } - SHC.drw_light_sunrays = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_sunrays; + SHC.drw_light_sunrays = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_sunrays; } GPUBatch *DRW_cache_light_area_square_get(void) { - if (!SHC.drw_light_area_square) { - float v1[3] = {0.0f, 0.0f, 0.0f}; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 8); - - v1[0] = v1[1] = 0.5f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); - v1[0] = -0.5f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 2, v1); - v1[1] = -0.5f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 3, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 4, v1); - v1[0] = 0.5f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 5, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 6, v1); - v1[1] = 0.5f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 7, v1); - - SHC.drw_light_area_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_area_square; + if (!SHC.drw_light_area_square) { + float v1[3] = {0.0f, 0.0f, 0.0f}; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 8); + + v1[0] = v1[1] = 0.5f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); + v1[0] = -0.5f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 1, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 2, v1); + v1[1] = -0.5f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 3, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 4, v1); + v1[0] = 0.5f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 5, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 6, v1); + v1[1] = 0.5f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 7, v1); + + SHC.drw_light_area_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_area_square; } GPUBatch *DRW_cache_light_area_disk_get(void) { #define NSEGMENTS 32 - if (!SHC.drw_light_area_disk) { - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 2 * NSEGMENTS); - - float v[3] = {0.0f, 0.5f, 0.0f}; - GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v); - for (int a = 1; a < NSEGMENTS; a++) { - v[0] = 0.5f * sinf(2.0f * (float)M_PI * a / NSEGMENTS); - v[1] = 0.5f * cosf(2.0f * (float)M_PI * a / NSEGMENTS); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 2 * a - 1, v); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 2 * a, v); - } - copy_v3_fl3(v, 0.0f, 0.5f, 0.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, (2 * NSEGMENTS) - 1, v); - - SHC.drw_light_area_disk = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_area_disk; + if (!SHC.drw_light_area_disk) { + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 2 * NSEGMENTS); + + float v[3] = {0.0f, 0.5f, 0.0f}; + GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v); + for (int a = 1; a < NSEGMENTS; a++) { + v[0] = 0.5f * sinf(2.0f * (float)M_PI * a / NSEGMENTS); + v[1] = 0.5f * cosf(2.0f * (float)M_PI * a / NSEGMENTS); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 2 * a - 1, v); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 2 * a, v); + } + copy_v3_fl3(v, 0.0f, 0.5f, 0.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, (2 * NSEGMENTS) - 1, v); + + SHC.drw_light_area_disk = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_area_disk; #undef NSEGMENTS } GPUBatch *DRW_cache_light_hemi_get(void) { #define CIRCLE_RESOL 32 - if (!SHC.drw_light_hemi) { - float v[3]; - int vidx = 0; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 - 6 * 2 * 2); - - /* XZ plane */ - for (int a = 3; a < CIRCLE_RESOL / 2 - 3; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL) - M_PI / 2); - v[2] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL) - M_PI / 2) - 1.0f; - v[1] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - - v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL) - M_PI / 2); - v[2] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL) - M_PI / 2) - 1.0f; - v[1] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - /* XY plane */ - for (int a = 3; a < CIRCLE_RESOL / 2 - 3; a++) { - v[2] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)) - 1.0f; - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[0] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - - v[2] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)) - 1.0f; - v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[0] = 0.0f; - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - /* YZ plane full circle */ - /* lease v[2] as it is */ - const float rad = cosf((2.0f * M_PI * 3) / ((float)CIRCLE_RESOL)); - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[1] = rad * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[0] = rad * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - - v[1] = rad * sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - v[0] = rad * cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - - SHC.drw_light_hemi = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_hemi; + if (!SHC.drw_light_hemi) { + float v[3]; + int vidx = 0; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL * 2 * 2 - 6 * 2 * 2); + + /* XZ plane */ + for (int a = 3; a < CIRCLE_RESOL / 2 - 3; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL) - M_PI / 2); + v[2] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL) - M_PI / 2) - 1.0f; + v[1] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + + v[0] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL) - M_PI / 2); + v[2] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL) - M_PI / 2) - 1.0f; + v[1] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + /* XY plane */ + for (int a = 3; a < CIRCLE_RESOL / 2 - 3; a++) { + v[2] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)) - 1.0f; + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[0] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + + v[2] = sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)) - 1.0f; + v[1] = cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[0] = 0.0f; + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + /* YZ plane full circle */ + /* lease v[2] as it is */ + const float rad = cosf((2.0f * M_PI * 3) / ((float)CIRCLE_RESOL)); + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[1] = rad * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[0] = rad * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + + v[1] = rad * sinf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + v[0] = rad * cosf((2.0f * M_PI * (a + 1)) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + SHC.drw_light_hemi = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_hemi; #undef CIRCLE_RESOL } - GPUBatch *DRW_cache_light_spot_get(void) { #define NSEGMENTS 32 - if (!SHC.drw_light_spot) { - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - float n[NSEGMENTS][3]; - float neg[NSEGMENTS][3]; - float half_angle = 2 * M_PI / ((float)NSEGMENTS * 2); - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = cosf(angle); - p[i][1] = sinf(angle); - - n[i][0] = cosf(angle - half_angle); - n[i][1] = sinf(angle - half_angle); - n[i][2] = cosf(M_PI / 16.0f); /* slope of the cone */ - normalize_v3(n[i]); /* necessary ? */ - negate_v3_v3(neg[i], n[i]); - } - - static GPUVertFormat format = { 0 }; - static struct { uint pos, n1, n2; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.n1 = GPU_vertformat_attr_add(&format, "N1", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.n2 = GPU_vertformat_attr_add(&format, "N2", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 4); - - for (int i = 0; i < NSEGMENTS; ++i) { - float cv[2], v[3]; - cv[0] = p[i % NSEGMENTS][0]; - cv[1] = p[i % NSEGMENTS][1]; - - /* cone sides */ - ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4, v); - ARRAY_SET_ITEMS(v, 0.0f, 0.0f, 0.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 1, v); - - GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4, n[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 1, n[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4, n[(i + 1) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 1, n[(i + 1) % NSEGMENTS]); - - /* end ring */ - ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 2, v); - cv[0] = p[(i + 1) % NSEGMENTS][0]; - cv[1] = p[(i + 1) % NSEGMENTS][1]; - ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 3, v); - - GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 2, n[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 3, n[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 2, neg[(i) % NSEGMENTS]); - GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 3, neg[(i) % NSEGMENTS]); - } - - SHC.drw_light_spot = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_spot; + if (!SHC.drw_light_spot) { + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + float n[NSEGMENTS][3]; + float neg[NSEGMENTS][3]; + float half_angle = 2 * M_PI / ((float)NSEGMENTS * 2); + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = cosf(angle); + p[i][1] = sinf(angle); + + n[i][0] = cosf(angle - half_angle); + n[i][1] = sinf(angle - half_angle); + n[i][2] = cosf(M_PI / 16.0f); /* slope of the cone */ + normalize_v3(n[i]); /* necessary ? */ + negate_v3_v3(neg[i], n[i]); + } + + static GPUVertFormat format = {0}; + static struct { + uint pos, n1, n2; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.n1 = GPU_vertformat_attr_add(&format, "N1", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.n2 = GPU_vertformat_attr_add(&format, "N2", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 4); + + for (int i = 0; i < NSEGMENTS; ++i) { + float cv[2], v[3]; + cv[0] = p[i % NSEGMENTS][0]; + cv[1] = p[i % NSEGMENTS][1]; + + /* cone sides */ + ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4, v); + ARRAY_SET_ITEMS(v, 0.0f, 0.0f, 0.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 1, v); + + GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4, n[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 1, n[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4, n[(i + 1) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 1, n[(i + 1) % NSEGMENTS]); + + /* end ring */ + ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 2, v); + cv[0] = p[(i + 1) % NSEGMENTS][0]; + cv[1] = p[(i + 1) % NSEGMENTS][1]; + ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i * 4 + 3, v); + + GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 2, n[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n1, i * 4 + 3, n[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 2, neg[(i) % NSEGMENTS]); + GPU_vertbuf_attr_set(vbo, attr_id.n2, i * 4 + 3, neg[(i) % NSEGMENTS]); + } + + SHC.drw_light_spot = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_spot; #undef NSEGMENTS } GPUBatch *DRW_cache_light_spot_volume_get(void) { #define NSEGMENTS 32 - if (!SHC.drw_light_spot_volume) { - /* a single ring of vertices */ - float p[NSEGMENTS][2]; - for (int i = 0; i < NSEGMENTS; ++i) { - float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); - p[i][0] = cosf(angle); - p[i][1] = sinf(angle); - } - - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 3); - - uint v_idx = 0; - for (int i = 0; i < NSEGMENTS; ++i) { - float cv[2], v[3]; - - ARRAY_SET_ITEMS(v, 0.0f, 0.0f, 0.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - - cv[0] = p[i % NSEGMENTS][0]; - cv[1] = p[i % NSEGMENTS][1]; - ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - - cv[0] = p[(i + 1) % NSEGMENTS][0]; - cv[1] = p[(i + 1) % NSEGMENTS][1]; - ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); - } - - SHC.drw_light_spot_volume = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_spot_volume; + if (!SHC.drw_light_spot_volume) { + /* a single ring of vertices */ + float p[NSEGMENTS][2]; + for (int i = 0; i < NSEGMENTS; ++i) { + float angle = 2 * M_PI * ((float)i / (float)NSEGMENTS); + p[i][0] = cosf(angle); + p[i][1] = sinf(angle); + } + + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, NSEGMENTS * 3); + + uint v_idx = 0; + for (int i = 0; i < NSEGMENTS; ++i) { + float cv[2], v[3]; + + ARRAY_SET_ITEMS(v, 0.0f, 0.0f, 0.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + + cv[0] = p[i % NSEGMENTS][0]; + cv[1] = p[i % NSEGMENTS][1]; + ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + + cv[0] = p[(i + 1) % NSEGMENTS][0]; + cv[1] = p[(i + 1) % NSEGMENTS][1]; + ARRAY_SET_ITEMS(v, cv[0], cv[1], -1.0f); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v); + } + + SHC.drw_light_spot_volume = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_spot_volume; #undef NSEGMENTS } GPUBatch *DRW_cache_light_spot_square_get(void) { - if (!SHC.drw_light_spot_square) { - float p[5][3] = { - { 0.0f, 0.0f, 0.0f}, - { 1.0f, 1.0f, -1.0f}, - { 1.0f, -1.0f, -1.0f}, - {-1.0f, -1.0f, -1.0f}, - {-1.0f, 1.0f, -1.0f}}; + if (!SHC.drw_light_spot_square) { + float p[5][3] = {{0.0f, 0.0f, 0.0f}, + {1.0f, 1.0f, -1.0f}, + {1.0f, -1.0f, -1.0f}, + {-1.0f, -1.0f, -1.0f}, + {-1.0f, 1.0f, -1.0f}}; - uint v_idx = 0; + uint v_idx = 0; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 16); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 16); - /* piramid sides */ - for (int i = 1; i <= 4; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[0]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[i]); + /* piramid sides */ + for (int i = 1; i <= 4; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[0]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[i]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[(i % 4) + 1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[((i + 1) % 4) + 1]); - } + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[(i % 4) + 1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[((i + 1) % 4) + 1]); + } - SHC.drw_light_spot_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_spot_square; + SHC.drw_light_spot_square = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_spot_square; } GPUBatch *DRW_cache_light_spot_square_volume_get(void) { - if (!SHC.drw_light_spot_square_volume) { - float p[5][3] = { - { 0.0f, 0.0f, 0.0f}, - { 1.0f, 1.0f, -1.0f}, - { 1.0f, -1.0f, -1.0f}, - {-1.0f, -1.0f, -1.0f}, - {-1.0f, 1.0f, -1.0f}}; + if (!SHC.drw_light_spot_square_volume) { + float p[5][3] = {{0.0f, 0.0f, 0.0f}, + {1.0f, 1.0f, -1.0f}, + {1.0f, -1.0f, -1.0f}, + {-1.0f, -1.0f, -1.0f}, + {-1.0f, 1.0f, -1.0f}}; - uint v_idx = 0; + uint v_idx = 0; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 12); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 12); - /* piramid sides */ - for (int i = 1; i <= 4; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[0]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[((i + 1) % 4) + 1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[(i % 4) + 1]); - } + /* piramid sides */ + for (int i = 1; i <= 4; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[0]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[((i + 1) % 4) + 1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, p[(i % 4) + 1]); + } - SHC.drw_light_spot_square_volume = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_light_spot_square_volume; + SHC.drw_light_spot_square_volume = GPU_batch_create_ex( + GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_light_spot_square_volume; } /** \} */ @@ -1750,59 +1818,61 @@ GPUBatch *DRW_cache_light_spot_square_volume_get(void) GPUBatch *DRW_cache_speaker_get(void) { - if (!SHC.drw_speaker) { - float v[3]; - const int segments = 16; - int vidx = 0; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 3 * segments * 2 + 4 * 4); - - for (int j = 0; j < 3; j++) { - float z = 0.25f * j - 0.125f; - float r = (j == 0 ? 0.5f : 0.25f); - - copy_v3_fl3(v, r, 0.0f, z); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - for (int i = 1; i < segments; i++) { - float x = cosf(2.f * (float)M_PI * i / segments) * r; - float y = sinf(2.f * (float)M_PI * i / segments) * r; - copy_v3_fl3(v, x, y, z); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - copy_v3_fl3(v, r, 0.0f, z); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - - for (int j = 0; j < 4; j++) { - float x = (((j + 1) % 2) * (j - 1)) * 0.5f; - float y = ((j % 2) * (j - 2)) * 0.5f; - for (int i = 0; i < 3; i++) { - if (i == 1) { - x *= 0.5f; - y *= 0.5f; - } - - float z = 0.25f * i - 0.125f; - copy_v3_fl3(v, x, y, z); - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - if (i == 1) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); - } - } - } - - SHC.drw_speaker = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_speaker; + if (!SHC.drw_speaker) { + float v[3]; + const int segments = 16; + int vidx = 0; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 3 * segments * 2 + 4 * 4); + + for (int j = 0; j < 3; j++) { + float z = 0.25f * j - 0.125f; + float r = (j == 0 ? 0.5f : 0.25f); + + copy_v3_fl3(v, r, 0.0f, z); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + for (int i = 1; i < segments; i++) { + float x = cosf(2.f * (float)M_PI * i / segments) * r; + float y = sinf(2.f * (float)M_PI * i / segments) * r; + copy_v3_fl3(v, x, y, z); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + copy_v3_fl3(v, r, 0.0f, z); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + + for (int j = 0; j < 4; j++) { + float x = (((j + 1) % 2) * (j - 1)) * 0.5f; + float y = ((j % 2) * (j - 2)) * 0.5f; + for (int i = 0; i < 3; i++) { + if (i == 1) { + x *= 0.5f; + y *= 0.5f; + } + + float z = 0.25f * i - 0.125f; + copy_v3_fl3(v, x, y, z); + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + if (i == 1) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, vidx++, v); + } + } + } + + SHC.drw_speaker = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_speaker; } /** \} */ @@ -1813,136 +1883,142 @@ GPUBatch *DRW_cache_speaker_get(void) GPUBatch *DRW_cache_lightprobe_cube_get(void) { - if (!SHC.drw_lightprobe_cube) { - int v_idx = 0; - const float sin_pi_3 = 0.86602540378f; - const float cos_pi_3 = 0.5f; - float v[7][3] = { - {0.0f, 1.0f, 0.0f}, - {sin_pi_3, cos_pi_3, 0.0f}, - {sin_pi_3, -cos_pi_3, 0.0f}, - {0.0f, -1.0f, 0.0f}, - {-sin_pi_3, -cos_pi_3, 0.0f}, - {-sin_pi_3, cos_pi_3, 0.0f}, - {0.0f, 0.0f, 0.0f}, - }; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (6 + 3) * 2); - - for (int i = 0; i < 6; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[i]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[(i + 1) % 6]); - } - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[5]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[3]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - SHC.drw_lightprobe_cube = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_lightprobe_cube; + if (!SHC.drw_lightprobe_cube) { + int v_idx = 0; + const float sin_pi_3 = 0.86602540378f; + const float cos_pi_3 = 0.5f; + float v[7][3] = { + {0.0f, 1.0f, 0.0f}, + {sin_pi_3, cos_pi_3, 0.0f}, + {sin_pi_3, -cos_pi_3, 0.0f}, + {0.0f, -1.0f, 0.0f}, + {-sin_pi_3, -cos_pi_3, 0.0f}, + {-sin_pi_3, cos_pi_3, 0.0f}, + {0.0f, 0.0f, 0.0f}, + }; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (6 + 3) * 2); + + for (int i = 0; i < 6; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[i]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[(i + 1) % 6]); + } + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[5]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[3]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + SHC.drw_lightprobe_cube = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_lightprobe_cube; } GPUBatch *DRW_cache_lightprobe_grid_get(void) { - if (!SHC.drw_lightprobe_grid) { - int v_idx = 0; - const float sin_pi_3 = 0.86602540378f; - const float cos_pi_3 = 0.5f; - const float v[7][3] = { - {0.0f, 1.0f, 0.0f}, - {sin_pi_3, cos_pi_3, 0.0f}, - {sin_pi_3, -cos_pi_3, 0.0f}, - {0.0f, -1.0f, 0.0f}, - {-sin_pi_3, -cos_pi_3, 0.0f}, - {-sin_pi_3, cos_pi_3, 0.0f}, - {0.0f, 0.0f, 0.0f}, - }; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (6 * 2 + 3) * 2); - - for (int i = 0; i < 6; ++i) { - float tmp_v1[3], tmp_v2[3], tmp_tr[3]; - copy_v3_v3(tmp_v1, v[i]); - copy_v3_v3(tmp_v2, v[(i + 1) % 6]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v2); - - /* Internal wires. */ - for (int j = 1; j < 2; ++j) { - mul_v3_v3fl(tmp_tr, v[(i / 2) * 2 + 1], -0.5f * j); - add_v3_v3v3(tmp_v1, v[i], tmp_tr); - add_v3_v3v3(tmp_v2, v[(i + 1) % 6], tmp_tr); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v2); - } - } - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[1]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[5]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[3]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); - - SHC.drw_lightprobe_grid = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_lightprobe_grid; + if (!SHC.drw_lightprobe_grid) { + int v_idx = 0; + const float sin_pi_3 = 0.86602540378f; + const float cos_pi_3 = 0.5f; + const float v[7][3] = { + {0.0f, 1.0f, 0.0f}, + {sin_pi_3, cos_pi_3, 0.0f}, + {sin_pi_3, -cos_pi_3, 0.0f}, + {0.0f, -1.0f, 0.0f}, + {-sin_pi_3, -cos_pi_3, 0.0f}, + {-sin_pi_3, cos_pi_3, 0.0f}, + {0.0f, 0.0f, 0.0f}, + }; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (6 * 2 + 3) * 2); + + for (int i = 0; i < 6; ++i) { + float tmp_v1[3], tmp_v2[3], tmp_tr[3]; + copy_v3_v3(tmp_v1, v[i]); + copy_v3_v3(tmp_v2, v[(i + 1) % 6]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v2); + + /* Internal wires. */ + for (int j = 1; j < 2; ++j) { + mul_v3_v3fl(tmp_tr, v[(i / 2) * 2 + 1], -0.5f * j); + add_v3_v3v3(tmp_v1, v[i], tmp_tr); + add_v3_v3v3(tmp_v2, v[(i + 1) % 6], tmp_tr); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, tmp_v2); + } + } + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[1]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[5]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[3]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[6]); + + SHC.drw_lightprobe_grid = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_lightprobe_grid; } GPUBatch *DRW_cache_lightprobe_planar_get(void) { - if (!SHC.drw_lightprobe_planar) { - int v_idx = 0; - const float sin_pi_3 = 0.86602540378f; - float v[4][3] = { - {0.0f, 0.5f, 0.0f}, - {sin_pi_3, 0.0f, 0.0f}, - {0.0f, -0.5f, 0.0f}, - {-sin_pi_3, 0.0f, 0.0f}, - }; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 4 * 2); - - for (int i = 0; i < 4; ++i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[i]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[(i + 1) % 4]); - } - - SHC.drw_lightprobe_planar = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_lightprobe_planar; + if (!SHC.drw_lightprobe_planar) { + int v_idx = 0; + const float sin_pi_3 = 0.86602540378f; + float v[4][3] = { + {0.0f, 0.5f, 0.0f}, + {sin_pi_3, 0.0f, 0.0f}, + {0.0f, -0.5f, 0.0f}, + {-sin_pi_3, 0.0f, 0.0f}, + }; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 4 * 2); + + for (int i = 0; i < 4; ++i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[i]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, v[(i + 1) % 4]); + } + + SHC.drw_lightprobe_planar = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_lightprobe_planar; } /** \} */ @@ -1952,57 +2028,57 @@ GPUBatch *DRW_cache_lightprobe_planar_get(void) * \{ */ static const float bone_octahedral_verts[6][3] = { - { 0.0f, 0.0f, 0.0f}, - { 0.1f, 0.1f, 0.1f}, - { 0.1f, 0.1f, -0.1f}, - {-0.1f, 0.1f, -0.1f}, - {-0.1f, 0.1f, 0.1f}, - { 0.0f, 1.0f, 0.0f}, + {0.0f, 0.0f, 0.0f}, + {0.1f, 0.1f, 0.1f}, + {0.1f, 0.1f, -0.1f}, + {-0.1f, 0.1f, -0.1f}, + {-0.1f, 0.1f, 0.1f}, + {0.0f, 1.0f, 0.0f}, }; static const float bone_octahedral_smooth_normals[6][3] = { - { 0.0f, -1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f}, #if 0 /* creates problems for outlines when scaled */ - { 0.943608f * M_SQRT1_2, -0.331048f, 0.943608f * M_SQRT1_2}, - { 0.943608f * M_SQRT1_2, -0.331048f, -0.943608f * M_SQRT1_2}, - {-0.943608f * M_SQRT1_2, -0.331048f, -0.943608f * M_SQRT1_2}, - {-0.943608f * M_SQRT1_2, -0.331048f, 0.943608f * M_SQRT1_2}, + { 0.943608f * M_SQRT1_2, -0.331048f, 0.943608f * M_SQRT1_2}, + { 0.943608f * M_SQRT1_2, -0.331048f, -0.943608f * M_SQRT1_2}, + {-0.943608f * M_SQRT1_2, -0.331048f, -0.943608f * M_SQRT1_2}, + {-0.943608f * M_SQRT1_2, -0.331048f, 0.943608f * M_SQRT1_2}, #else - { M_SQRT1_2, 0.0f, M_SQRT1_2}, - { M_SQRT1_2, 0.0f, -M_SQRT1_2}, - {-M_SQRT1_2, 0.0f, -M_SQRT1_2}, - {-M_SQRT1_2, 0.0f, M_SQRT1_2}, + {M_SQRT1_2, 0.0f, M_SQRT1_2}, + {M_SQRT1_2, 0.0f, -M_SQRT1_2}, + {-M_SQRT1_2, 0.0f, -M_SQRT1_2}, + {-M_SQRT1_2, 0.0f, M_SQRT1_2}, #endif - { 0.0f, 1.0f, 0.0f}, + {0.0f, 1.0f, 0.0f}, }; -#if 0 /* UNUSED */ +#if 0 /* UNUSED */ static const uint bone_octahedral_wire[24] = { - 0, 1, 1, 5, 5, 3, 3, 0, - 0, 4, 4, 5, 5, 2, 2, 0, - 1, 2, 2, 3, 3, 4, 4, 1, + 0, 1, 1, 5, 5, 3, 3, 0, + 0, 4, 4, 5, 5, 2, 2, 0, + 1, 2, 2, 3, 3, 4, 4, 1, }; /* aligned with bone_octahedral_wire * Contains adjacent normal index */ static const uint bone_octahedral_wire_adjacent_face[24] = { - 0, 3, 4, 7, 5, 6, 1, 2, - 2, 3, 6, 7, 4, 5, 0, 1, - 0, 4, 1, 5, 2, 6, 3, 7, + 0, 3, 4, 7, 5, 6, 1, 2, + 2, 3, 6, 7, 4, 5, 0, 1, + 0, 4, 1, 5, 2, 6, 3, 7, }; #endif static const uint bone_octahedral_solid_tris[8][3] = { - {2, 1, 0}, /* bottom */ - {3, 2, 0}, - {4, 3, 0}, - {1, 4, 0}, - - {5, 1, 2}, /* top */ - {5, 2, 3}, - {5, 3, 4}, - {5, 4, 1}, + {2, 1, 0}, /* bottom */ + {3, 2, 0}, + {4, 3, 0}, + {1, 4, 0}, + + {5, 1, 2}, /* top */ + {5, 2, 3}, + {5, 3, 4}, + {5, 4, 1}, }; /** @@ -2017,151 +2093,164 @@ static const uint bone_octahedral_solid_tris[8][3] = { * {0, 12, 1, 10, 2, 3} */ static const uint bone_octahedral_wire_lines_adjacency[12][4] = { - { 0, 1, 2, 6}, { 0, 12, 1, 6}, { 0, 3, 12, 6}, { 0, 2, 3, 6}, - { 1, 6, 2, 3}, { 1, 12, 6, 3}, { 1, 0, 12, 3}, { 1, 2, 0, 3}, - { 2, 0, 1, 12}, { 2, 3, 0, 12}, { 2, 6, 3, 12}, { 2, 1, 6, 12}, + {0, 1, 2, 6}, + {0, 12, 1, 6}, + {0, 3, 12, 6}, + {0, 2, 3, 6}, + {1, 6, 2, 3}, + {1, 12, 6, 3}, + {1, 0, 12, 3}, + {1, 2, 0, 3}, + {2, 0, 1, 12}, + {2, 3, 0, 12}, + {2, 6, 3, 12}, + {2, 1, 6, 12}, }; #if 0 /* UNUSED */ static const uint bone_octahedral_solid_tris_adjacency[8][6] = { - { 0, 12, 1, 10, 2, 3}, - { 3, 15, 4, 1, 5, 6}, - { 6, 18, 7, 4, 8, 9}, - { 9, 21, 10, 7, 11, 0}, - - {12, 22, 13, 2, 14, 17}, - {15, 13, 16, 5, 17, 20}, - {18, 16, 19, 8, 20, 23}, - {21, 19, 22, 11, 23, 14}, + { 0, 12, 1, 10, 2, 3}, + { 3, 15, 4, 1, 5, 6}, + { 6, 18, 7, 4, 8, 9}, + { 9, 21, 10, 7, 11, 0}, + + {12, 22, 13, 2, 14, 17}, + {15, 13, 16, 5, 17, 20}, + {18, 16, 19, 8, 20, 23}, + {21, 19, 22, 11, 23, 14}, }; #endif /* aligned with bone_octahedral_solid_tris */ static const float bone_octahedral_solid_normals[8][3] = { - { M_SQRT1_2, -M_SQRT1_2, 0.00000000f}, - {-0.00000000f, -M_SQRT1_2, -M_SQRT1_2}, - {-M_SQRT1_2, -M_SQRT1_2, 0.00000000f}, - { 0.00000000f, -M_SQRT1_2, M_SQRT1_2}, - { 0.99388373f, 0.11043154f, -0.00000000f}, - { 0.00000000f, 0.11043154f, -0.99388373f}, - {-0.99388373f, 0.11043154f, 0.00000000f}, - { 0.00000000f, 0.11043154f, 0.99388373f}, + {M_SQRT1_2, -M_SQRT1_2, 0.00000000f}, + {-0.00000000f, -M_SQRT1_2, -M_SQRT1_2}, + {-M_SQRT1_2, -M_SQRT1_2, 0.00000000f}, + {0.00000000f, -M_SQRT1_2, M_SQRT1_2}, + {0.99388373f, 0.11043154f, -0.00000000f}, + {0.00000000f, 0.11043154f, -0.99388373f}, + {-0.99388373f, 0.11043154f, 0.00000000f}, + {0.00000000f, 0.11043154f, 0.99388373f}, }; GPUBatch *DRW_cache_bone_octahedral_get(void) { - if (!SHC.drw_bone_octahedral) { - uint v_idx = 0; - - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor, snor; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.snor = GPU_vertformat_attr_add(&format, "snor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 24); - - for (int i = 0; i < 8; i++) { - for (int j = 0; j < 3; ++j) { - GPU_vertbuf_attr_set(vbo, attr_id.nor, v_idx, bone_octahedral_solid_normals[i]); - GPU_vertbuf_attr_set(vbo, attr_id.snor, v_idx, bone_octahedral_smooth_normals[bone_octahedral_solid_tris[i][j]]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, bone_octahedral_verts[bone_octahedral_solid_tris[i][j]]); - } - } - - SHC.drw_bone_octahedral = GPU_batch_create_ex( - GPU_PRIM_TRIS, vbo, NULL, - GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_octahedral; + if (!SHC.drw_bone_octahedral) { + uint v_idx = 0; + + static GPUVertFormat format = {0}; + static struct { + uint pos, nor, snor; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.snor = GPU_vertformat_attr_add(&format, "snor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 24); + + for (int i = 0; i < 8; i++) { + for (int j = 0; j < 3; ++j) { + GPU_vertbuf_attr_set(vbo, attr_id.nor, v_idx, bone_octahedral_solid_normals[i]); + GPU_vertbuf_attr_set(vbo, + attr_id.snor, + v_idx, + bone_octahedral_smooth_normals[bone_octahedral_solid_tris[i][j]]); + GPU_vertbuf_attr_set( + vbo, attr_id.pos, v_idx++, bone_octahedral_verts[bone_octahedral_solid_tris[i][j]]); + } + } + + SHC.drw_bone_octahedral = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_octahedral; } GPUBatch *DRW_cache_bone_octahedral_wire_get(void) { - if (!SHC.drw_bone_octahedral_wire) { - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, 12, 24); + if (!SHC.drw_bone_octahedral_wire) { + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, 12, 24); - for (int i = 0; i < 12; i++) { - GPU_indexbuf_add_line_adj_verts( - &elb, - bone_octahedral_wire_lines_adjacency[i][0], - bone_octahedral_wire_lines_adjacency[i][1], - bone_octahedral_wire_lines_adjacency[i][2], - bone_octahedral_wire_lines_adjacency[i][3]); - } + for (int i = 0; i < 12; i++) { + GPU_indexbuf_add_line_adj_verts(&elb, + bone_octahedral_wire_lines_adjacency[i][0], + bone_octahedral_wire_lines_adjacency[i][1], + bone_octahedral_wire_lines_adjacency[i][2], + bone_octahedral_wire_lines_adjacency[i][3]); + } - /* HACK Reuse vertex buffer. */ - GPUBatch *pos_nor_batch = DRW_cache_bone_octahedral_get(); + /* HACK Reuse vertex buffer. */ + GPUBatch *pos_nor_batch = DRW_cache_bone_octahedral_get(); - SHC.drw_bone_octahedral_wire = GPU_batch_create_ex( - GPU_PRIM_LINES_ADJ, pos_nor_batch->verts[0], GPU_indexbuf_build(&elb), - GPU_BATCH_OWNS_INDEX); - } - return SHC.drw_bone_octahedral_wire; + SHC.drw_bone_octahedral_wire = GPU_batch_create_ex(GPU_PRIM_LINES_ADJ, + pos_nor_batch->verts[0], + GPU_indexbuf_build(&elb), + GPU_BATCH_OWNS_INDEX); + } + return SHC.drw_bone_octahedral_wire; } /* XXX TODO move that 1 unit cube to more common/generic place? */ static const float bone_box_verts[8][3] = { - { 1.0f, 0.0f, 1.0f}, - { 1.0f, 0.0f, -1.0f}, - {-1.0f, 0.0f, -1.0f}, - {-1.0f, 0.0f, 1.0f}, - { 1.0f, 1.0f, 1.0f}, - { 1.0f, 1.0f, -1.0f}, - {-1.0f, 1.0f, -1.0f}, - {-1.0f, 1.0f, 1.0f}, + {1.0f, 0.0f, 1.0f}, + {1.0f, 0.0f, -1.0f}, + {-1.0f, 0.0f, -1.0f}, + {-1.0f, 0.0f, 1.0f}, + {1.0f, 1.0f, 1.0f}, + {1.0f, 1.0f, -1.0f}, + {-1.0f, 1.0f, -1.0f}, + {-1.0f, 1.0f, 1.0f}, }; static const float bone_box_smooth_normals[8][3] = { - { M_SQRT3, -M_SQRT3, M_SQRT3}, - { M_SQRT3, -M_SQRT3, -M_SQRT3}, - {-M_SQRT3, -M_SQRT3, -M_SQRT3}, - {-M_SQRT3, -M_SQRT3, M_SQRT3}, - { M_SQRT3, M_SQRT3, M_SQRT3}, - { M_SQRT3, M_SQRT3, -M_SQRT3}, - {-M_SQRT3, M_SQRT3, -M_SQRT3}, - {-M_SQRT3, M_SQRT3, M_SQRT3}, + {M_SQRT3, -M_SQRT3, M_SQRT3}, + {M_SQRT3, -M_SQRT3, -M_SQRT3}, + {-M_SQRT3, -M_SQRT3, -M_SQRT3}, + {-M_SQRT3, -M_SQRT3, M_SQRT3}, + {M_SQRT3, M_SQRT3, M_SQRT3}, + {M_SQRT3, M_SQRT3, -M_SQRT3}, + {-M_SQRT3, M_SQRT3, -M_SQRT3}, + {-M_SQRT3, M_SQRT3, M_SQRT3}, }; #if 0 /* UNUSED */ static const uint bone_box_wire[24] = { - 0, 1, 1, 2, 2, 3, 3, 0, - 4, 5, 5, 6, 6, 7, 7, 4, - 0, 4, 1, 5, 2, 6, 3, 7, + 0, 1, 1, 2, 2, 3, 3, 0, + 4, 5, 5, 6, 6, 7, 7, 4, + 0, 4, 1, 5, 2, 6, 3, 7, }; /* aligned with bone_octahedral_wire * Contains adjacent normal index */ static const uint bone_box_wire_adjacent_face[24] = { - 0, 2, 0, 4, 1, 6, 1, 8, - 3, 10, 5, 10, 7, 11, 9, 11, - 3, 8, 2, 5, 4, 7, 6, 9, + 0, 2, 0, 4, 1, 6, 1, 8, + 3, 10, 5, 10, 7, 11, 9, 11, + 3, 8, 2, 5, 4, 7, 6, 9, }; #endif static const uint bone_box_solid_tris[12][3] = { - {0, 2, 1}, /* bottom */ - {0, 3, 2}, + {0, 2, 1}, /* bottom */ + {0, 3, 2}, - {0, 1, 5}, /* sides */ - {0, 5, 4}, + {0, 1, 5}, /* sides */ + {0, 5, 4}, - {1, 2, 6}, - {1, 6, 5}, + {1, 2, 6}, + {1, 6, 5}, - {2, 3, 7}, - {2, 7, 6}, + {2, 3, 7}, + {2, 7, 6}, - {3, 0, 4}, - {3, 4, 7}, + {3, 0, 4}, + {3, 4, 7}, - {4, 5, 6}, /* top */ - {4, 6, 7}, + {4, 5, 6}, /* top */ + {4, 6, 7}, }; /** @@ -2169,337 +2258,357 @@ static const uint bone_box_solid_tris[12][3] = { * See bone_octahedral_solid_tris for more infos. */ static const uint bone_box_wire_lines_adjacency[12][4] = { - { 4, 2, 0, 11}, { 0, 1, 2, 8}, { 2, 4, 1, 14}, { 1, 0, 4, 20}, /* bottom */ - { 0, 8, 11, 14}, { 2, 14, 8, 20}, { 1, 20, 14, 11}, { 4, 11, 20, 8}, /* top */ - { 20, 0, 11, 2}, { 11, 2, 8, 1}, { 8, 1, 14, 4}, { 14, 4, 20, 0}, /* sides */ + {4, 2, 0, 11}, + {0, 1, 2, 8}, + {2, 4, 1, 14}, + {1, 0, 4, 20}, /* bottom */ + {0, 8, 11, 14}, + {2, 14, 8, 20}, + {1, 20, 14, 11}, + {4, 11, 20, 8}, /* top */ + {20, 0, 11, 2}, + {11, 2, 8, 1}, + {8, 1, 14, 4}, + {14, 4, 20, 0}, /* sides */ }; #if 0 /* UNUSED */ static const uint bone_box_solid_tris_adjacency[12][6] = { - { 0, 5, 1, 14, 2, 8}, - { 3, 26, 4, 20, 5, 1}, + { 0, 5, 1, 14, 2, 8}, + { 3, 26, 4, 20, 5, 1}, - { 6, 2, 7, 16, 8, 11}, - { 9, 7, 10, 32, 11, 24}, + { 6, 2, 7, 16, 8, 11}, + { 9, 7, 10, 32, 11, 24}, - {12, 0, 13, 22, 14, 17}, - {15, 13, 16, 30, 17, 6}, + {12, 0, 13, 22, 14, 17}, + {15, 13, 16, 30, 17, 6}, - {18, 3, 19, 28, 20, 23}, - {21, 19, 22, 33, 23, 12}, + {18, 3, 19, 28, 20, 23}, + {21, 19, 22, 33, 23, 12}, - {24, 4, 25, 10, 26, 29}, - {27, 25, 28, 34, 29, 18}, + {24, 4, 25, 10, 26, 29}, + {27, 25, 28, 34, 29, 18}, - {30, 9, 31, 15, 32, 35}, - {33, 31, 34, 21, 35, 27}, + {30, 9, 31, 15, 32, 35}, + {33, 31, 34, 21, 35, 27}, }; #endif /* aligned with bone_box_solid_tris */ static const float bone_box_solid_normals[12][3] = { - { 0.0f, -1.0f, 0.0f}, - { 0.0f, -1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f}, + {0.0f, -1.0f, 0.0f}, - { 1.0f, 0.0f, 0.0f}, - { 1.0f, 0.0f, 0.0f}, + {1.0f, 0.0f, 0.0f}, + {1.0f, 0.0f, 0.0f}, - { 0.0f, 0.0f, -1.0f}, - { 0.0f, 0.0f, -1.0f}, + {0.0f, 0.0f, -1.0f}, + {0.0f, 0.0f, -1.0f}, - {-1.0f, 0.0f, 0.0f}, - {-1.0f, 0.0f, 0.0f}, + {-1.0f, 0.0f, 0.0f}, + {-1.0f, 0.0f, 0.0f}, - { 0.0f, 0.0f, 1.0f}, - { 0.0f, 0.0f, 1.0f}, + {0.0f, 0.0f, 1.0f}, + {0.0f, 0.0f, 1.0f}, - { 0.0f, 1.0f, 0.0f}, - { 0.0f, 1.0f, 0.0f}, + {0.0f, 1.0f, 0.0f}, + {0.0f, 1.0f, 0.0f}, }; GPUBatch *DRW_cache_bone_box_get(void) { - if (!SHC.drw_bone_box) { - uint v_idx = 0; - - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor, snor; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.snor = GPU_vertformat_attr_add(&format, "snor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 36); - - for (int i = 0; i < 12; i++) { - for (int j = 0; j < 3; j++) { - GPU_vertbuf_attr_set(vbo, attr_id.nor, v_idx, bone_box_solid_normals[i]); - GPU_vertbuf_attr_set(vbo, attr_id.snor, v_idx, bone_box_smooth_normals[bone_box_solid_tris[i][j]]); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, bone_box_verts[bone_box_solid_tris[i][j]]); - } - } - - SHC.drw_bone_box = GPU_batch_create_ex( - GPU_PRIM_TRIS, vbo, NULL, - GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_box; + if (!SHC.drw_bone_box) { + uint v_idx = 0; + + static GPUVertFormat format = {0}; + static struct { + uint pos, nor, snor; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.snor = GPU_vertformat_attr_add(&format, "snor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 36); + + for (int i = 0; i < 12; i++) { + for (int j = 0; j < 3; j++) { + GPU_vertbuf_attr_set(vbo, attr_id.nor, v_idx, bone_box_solid_normals[i]); + GPU_vertbuf_attr_set( + vbo, attr_id.snor, v_idx, bone_box_smooth_normals[bone_box_solid_tris[i][j]]); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, bone_box_verts[bone_box_solid_tris[i][j]]); + } + } + + SHC.drw_bone_box = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_box; } GPUBatch *DRW_cache_bone_box_wire_get(void) { - if (!SHC.drw_bone_box_wire) { - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, 12, 36); + if (!SHC.drw_bone_box_wire) { + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, 12, 36); - for (int i = 0; i < 12; i++) { - GPU_indexbuf_add_line_adj_verts( - &elb, - bone_box_wire_lines_adjacency[i][0], - bone_box_wire_lines_adjacency[i][1], - bone_box_wire_lines_adjacency[i][2], - bone_box_wire_lines_adjacency[i][3]); - } + for (int i = 0; i < 12; i++) { + GPU_indexbuf_add_line_adj_verts(&elb, + bone_box_wire_lines_adjacency[i][0], + bone_box_wire_lines_adjacency[i][1], + bone_box_wire_lines_adjacency[i][2], + bone_box_wire_lines_adjacency[i][3]); + } - /* HACK Reuse vertex buffer. */ - GPUBatch *pos_nor_batch = DRW_cache_bone_box_get(); + /* HACK Reuse vertex buffer. */ + GPUBatch *pos_nor_batch = DRW_cache_bone_box_get(); - SHC.drw_bone_box_wire = GPU_batch_create_ex( - GPU_PRIM_LINES_ADJ, pos_nor_batch->verts[0], GPU_indexbuf_build(&elb), - GPU_BATCH_OWNS_INDEX); - } - return SHC.drw_bone_box_wire; + SHC.drw_bone_box_wire = GPU_batch_create_ex(GPU_PRIM_LINES_ADJ, + pos_nor_batch->verts[0], + GPU_indexbuf_build(&elb), + GPU_BATCH_OWNS_INDEX); + } + return SHC.drw_bone_box_wire; } /* Helpers for envelope bone's solid sphere-with-hidden-equatorial-cylinder. * Note that here we only encode head/tail in forth component of the vector. */ static void benv_lat_lon_to_co(const float lat, const float lon, float r_nor[3]) { - r_nor[0] = sinf(lat) * cosf(lon); - r_nor[1] = sinf(lat) * sinf(lon); - r_nor[2] = cosf(lat); + r_nor[0] = sinf(lat) * cosf(lon); + r_nor[1] = sinf(lat) * sinf(lon); + r_nor[2] = cosf(lat); } GPUBatch *DRW_cache_bone_envelope_solid_get(void) { - if (!SHC.drw_bone_envelope) { - const int lon_res = 24; - const int lat_res = 24; - const float lon_inc = 2.0f * M_PI / lon_res; - const float lat_inc = M_PI / lat_res; - uint v_idx = 0; + if (!SHC.drw_bone_envelope) { + const int lon_res = 24; + const int lat_res = 24; + const float lon_inc = 2.0f * M_PI / lon_res; + const float lat_inc = M_PI / lat_res; + uint v_idx = 0; - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, ((lat_res + 1) * 2) * lon_res * 1); + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, ((lat_res + 1) * 2) * lon_res * 1); - float lon = 0.0f; - for (int i = 0; i < lon_res; i++, lon += lon_inc) { - float lat = 0.0f; - float co1[3], co2[3]; + float lon = 0.0f; + for (int i = 0; i < lon_res; i++, lon += lon_inc) { + float lat = 0.0f; + float co1[3], co2[3]; - /* Note: the poles are duplicated on purpose, to restart the strip. */ + /* Note: the poles are duplicated on purpose, to restart the strip. */ - /* 1st sphere */ - for (int j = 0; j < lat_res; j++, lat += lat_inc) { - benv_lat_lon_to_co(lat, lon, co1); - benv_lat_lon_to_co(lat, lon + lon_inc, co2); + /* 1st sphere */ + for (int j = 0; j < lat_res; j++, lat += lat_inc) { + benv_lat_lon_to_co(lat, lon, co1); + benv_lat_lon_to_co(lat, lon + lon_inc, co2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co2); - } + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co2); + } - /* Closing the loop */ - benv_lat_lon_to_co(M_PI, lon, co1); - benv_lat_lon_to_co(M_PI, lon + lon_inc, co2); + /* Closing the loop */ + benv_lat_lon_to_co(M_PI, lon, co1); + benv_lat_lon_to_co(M_PI, lon + lon_inc, co2); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co2); - } + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v_idx++, co2); + } - SHC.drw_bone_envelope = GPU_batch_create_ex(GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_envelope; + SHC.drw_bone_envelope = GPU_batch_create_ex(GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_envelope; } GPUBatch *DRW_cache_bone_envelope_outline_get(void) { - if (!SHC.drw_bone_envelope_outline) { -# define CIRCLE_RESOL 64 - float v0[2], v1[2], v2[2]; - const float radius = 1.0f; - - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos0, pos1, pos2; } attr_id; - if (format.attr_len == 0) { - attr_id.pos0 = GPU_vertformat_attr_add(&format, "pos0", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.pos1 = GPU_vertformat_attr_add(&format, "pos1", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.pos2 = GPU_vertformat_attr_add(&format, "pos2", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (CIRCLE_RESOL + 1) * 2); - - v0[0] = radius * sinf((2.0f * M_PI * -2) / ((float)CIRCLE_RESOL)); - v0[1] = radius * cosf((2.0f * M_PI * -2) / ((float)CIRCLE_RESOL)); - v1[0] = radius * sinf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); - v1[1] = radius * cosf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); - - /* Output 4 verts for each position. See shader for explanation. */ - uint v = 0; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v2[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v2[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); - copy_v2_v2(v0, v1); - copy_v2_v2(v1, v2); - } - v2[0] = 0.0f; - v2[1] = radius; - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); - - SHC.drw_bone_envelope_outline = GPU_batch_create_ex(GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); -# undef CIRCLE_RESOL - } - return SHC.drw_bone_envelope_outline; + if (!SHC.drw_bone_envelope_outline) { +#define CIRCLE_RESOL 64 + float v0[2], v1[2], v2[2]; + const float radius = 1.0f; + + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos0, pos1, pos2; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos0 = GPU_vertformat_attr_add(&format, "pos0", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.pos1 = GPU_vertformat_attr_add(&format, "pos1", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.pos2 = GPU_vertformat_attr_add(&format, "pos2", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (CIRCLE_RESOL + 1) * 2); + + v0[0] = radius * sinf((2.0f * M_PI * -2) / ((float)CIRCLE_RESOL)); + v0[1] = radius * cosf((2.0f * M_PI * -2) / ((float)CIRCLE_RESOL)); + v1[0] = radius * sinf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); + v1[1] = radius * cosf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); + + /* Output 4 verts for each position. See shader for explanation. */ + uint v = 0; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v2[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v2[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); + copy_v2_v2(v0, v1); + copy_v2_v2(v1, v2); + } + v2[0] = 0.0f; + v2[1] = radius; + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos2, v++, v2); + + SHC.drw_bone_envelope_outline = GPU_batch_create_ex( + GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); +#undef CIRCLE_RESOL + } + return SHC.drw_bone_envelope_outline; } GPUBatch *DRW_cache_bone_point_get(void) { - if (!SHC.drw_bone_point) { + if (!SHC.drw_bone_point) { #if 0 /* old style geometry sphere */ - const int lon_res = 16; - const int lat_res = 8; - const float rad = 0.05f; - const float lon_inc = 2 * M_PI / lon_res; - const float lat_inc = M_PI / lat_res; - uint v_idx = 0; - - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (lat_res - 1) * lon_res * 6); - - float lon = 0.0f; - for (int i = 0; i < lon_res; i++, lon += lon_inc) { - float lat = 0.0f; - for (int j = 0; j < lat_res; j++, lat += lat_inc) { - if (j != lat_res - 1) { /* Pole */ - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon + lon_inc); - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon); - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon); - } - - if (j != 0) { /* Pole */ - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon + lon_inc); - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon + lon_inc); - add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon); - } - } - } - - SHC.drw_bone_point = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + const int lon_res = 16; + const int lat_res = 8; + const float rad = 0.05f; + const float lon_inc = 2 * M_PI / lon_res; + const float lat_inc = M_PI / lat_res; + uint v_idx = 0; + + static GPUVertFormat format = { 0 }; + static struct { uint pos, nor; } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (lat_res - 1) * lon_res * 6); + + float lon = 0.0f; + for (int i = 0; i < lon_res; i++, lon += lon_inc) { + float lat = 0.0f; + for (int j = 0; j < lat_res; j++, lat += lat_inc) { + if (j != lat_res - 1) { /* Pole */ + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon + lon_inc); + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon); + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon); + } + + if (j != 0) { /* Pole */ + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon + lon_inc); + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat + lat_inc, lon + lon_inc); + add_lat_lon_vert(vbo, attr_id.pos, attr_id.nor, &v_idx, rad, lat, lon); + } + } + } + + SHC.drw_bone_point = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); #else # define CIRCLE_RESOL 64 - float v[2]; - const float radius = 0.05f; - - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); - - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); - } - - SHC.drw_bone_point = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); + float v[2]; + const float radius = 0.05f; + + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); + + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, v); + } + + SHC.drw_bone_point = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, vbo, NULL, GPU_BATCH_OWNS_VBO); # undef CIRCLE_RESOL #endif - } - return SHC.drw_bone_point; + } + return SHC.drw_bone_point; } GPUBatch *DRW_cache_bone_point_wire_outline_get(void) { - if (!SHC.drw_bone_point_wire) { + if (!SHC.drw_bone_point_wire) { #if 0 /* old style geometry sphere */ - GPUVertBuf *vbo = sphere_wire_vbo(0.05f); - SHC.drw_bone_point_wire = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + GPUVertBuf *vbo = sphere_wire_vbo(0.05f); + SHC.drw_bone_point_wire = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); #else # define CIRCLE_RESOL 64 - float v0[2], v1[2]; - const float radius = 0.05f; - - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos0, pos1; } attr_id; - if (format.attr_len == 0) { - attr_id.pos0 = GPU_vertformat_attr_add(&format, "pos0", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.pos1 = GPU_vertformat_attr_add(&format, "pos1", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (CIRCLE_RESOL + 1) * 2); - - v0[0] = radius * sinf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); - v0[1] = radius * cosf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); - - uint v = 0; - for (int a = 0; a < CIRCLE_RESOL; a++) { - v1[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v1[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); - copy_v2_v2(v0, v1); - } - v1[0] = 0.0f; - v1[1] = radius; - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); - GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); - GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); - - SHC.drw_bone_point_wire = GPU_batch_create_ex(GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); + float v0[2], v1[2]; + const float radius = 0.05f; + + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos0, pos1; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos0 = GPU_vertformat_attr_add(&format, "pos0", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.pos1 = GPU_vertformat_attr_add(&format, "pos1", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, (CIRCLE_RESOL + 1) * 2); + + v0[0] = radius * sinf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); + v0[1] = radius * cosf((2.0f * M_PI * -1) / ((float)CIRCLE_RESOL)); + + uint v = 0; + for (int a = 0; a < CIRCLE_RESOL; a++) { + v1[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v1[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); + copy_v2_v2(v0, v1); + } + v1[0] = 0.0f; + v1[1] = radius; + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos0, v, v0); + GPU_vertbuf_attr_set(vbo, attr_id.pos1, v++, v1); + + SHC.drw_bone_point_wire = GPU_batch_create_ex( + GPU_PRIM_TRI_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); # undef CIRCLE_RESOL #endif - } - return SHC.drw_bone_point_wire; + } + return SHC.drw_bone_point_wire; } /* keep in sync with armature_stick_vert.glsl */ @@ -2514,87 +2623,97 @@ GPUBatch *DRW_cache_bone_point_wire_outline_get(void) GPUBatch *DRW_cache_bone_stick_get(void) { - if (!SHC.drw_bone_stick) { + if (!SHC.drw_bone_stick) { #define CIRCLE_RESOL 12 - uint v = 0; - uint flag; - const float radius = 2.0f; /* head/tail radius */ - float pos[2]; - - /* Position Only 2D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos, flag; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.flag = GPU_vertformat_attr_add(&format, "flag", GPU_COMP_U32, 1, GPU_FETCH_INT); - } - - const uint vcount = (CIRCLE_RESOL + 1) * 2 + 6; - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, vcount); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex(&elb, GPU_PRIM_TRI_FAN, (CIRCLE_RESOL + 2) * 2 + 6 + 2, vcount, true); - - /* head/tail points */ - for (int i = 0; i < 2; ++i) { - /* center vertex */ - copy_v2_fl(pos, 0.0f); - flag = (i == 0) ? POS_HEAD : POS_TAIL; - flag |= (i == 0) ? COL_HEAD : COL_TAIL; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); - GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); - GPU_indexbuf_add_generic_vert(&elb, v++); - /* circle vertices */ - flag |= COL_WIRE; - for (int a = 0; a < CIRCLE_RESOL; a++) { - pos[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - pos[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); - GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); - GPU_indexbuf_add_generic_vert(&elb, v++); - } - /* Close the circle */ - GPU_indexbuf_add_generic_vert(&elb, v - CIRCLE_RESOL); - - GPU_indexbuf_add_primitive_restart(&elb); - } - - /* Bone rectangle */ - pos[0] = 0.0f; - for (int i = 0; i < 6; ++i) { - pos[1] = (i == 0 || i == 3) ? 0.0f : ((i < 3) ? 1.0f : -1.0f); - flag = ((i < 2 || i > 4) ? POS_HEAD : POS_TAIL) | - ((i == 0 || i == 3) ? 0 : COL_WIRE) | COL_BONE | POS_BONE; - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); - GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); - GPU_indexbuf_add_generic_vert(&elb, v++); - } - - SHC.drw_bone_stick = GPU_batch_create_ex( - GPU_PRIM_TRI_FAN, vbo, GPU_indexbuf_build(&elb), - GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); + uint v = 0; + uint flag; + const float radius = 2.0f; /* head/tail radius */ + float pos[2]; + + /* Position Only 2D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos, flag; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.flag = GPU_vertformat_attr_add(&format, "flag", GPU_COMP_U32, 1, GPU_FETCH_INT); + } + + const uint vcount = (CIRCLE_RESOL + 1) * 2 + 6; + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, vcount); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex(&elb, GPU_PRIM_TRI_FAN, (CIRCLE_RESOL + 2) * 2 + 6 + 2, vcount, true); + + /* head/tail points */ + for (int i = 0; i < 2; ++i) { + /* center vertex */ + copy_v2_fl(pos, 0.0f); + flag = (i == 0) ? POS_HEAD : POS_TAIL; + flag |= (i == 0) ? COL_HEAD : COL_TAIL; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); + GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); + GPU_indexbuf_add_generic_vert(&elb, v++); + /* circle vertices */ + flag |= COL_WIRE; + for (int a = 0; a < CIRCLE_RESOL; a++) { + pos[0] = radius * sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + pos[1] = radius * cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); + GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); + GPU_indexbuf_add_generic_vert(&elb, v++); + } + /* Close the circle */ + GPU_indexbuf_add_generic_vert(&elb, v - CIRCLE_RESOL); + + GPU_indexbuf_add_primitive_restart(&elb); + } + + /* Bone rectangle */ + pos[0] = 0.0f; + for (int i = 0; i < 6; ++i) { + pos[1] = (i == 0 || i == 3) ? 0.0f : ((i < 3) ? 1.0f : -1.0f); + flag = ((i < 2 || i > 4) ? POS_HEAD : POS_TAIL) | ((i == 0 || i == 3) ? 0 : COL_WIRE) | + COL_BONE | POS_BONE; + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, pos); + GPU_vertbuf_attr_set(vbo, attr_id.flag, v, &flag); + GPU_indexbuf_add_generic_vert(&elb, v++); + } + + SHC.drw_bone_stick = GPU_batch_create_ex(GPU_PRIM_TRI_FAN, + vbo, + GPU_indexbuf_build(&elb), + GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); #undef CIRCLE_RESOL - } - return SHC.drw_bone_stick; + } + return SHC.drw_bone_stick; } -static void set_bone_axis_vert( - GPUVertBuf *vbo, uint axis, uint pos, uint col, - uint *v, const float *a, const float *p, const float *c) +static void set_bone_axis_vert(GPUVertBuf *vbo, + uint axis, + uint pos, + uint col, + uint *v, + const float *a, + const float *p, + const float *c) { - GPU_vertbuf_attr_set(vbo, axis, *v, a); - GPU_vertbuf_attr_set(vbo, pos, *v, p); - GPU_vertbuf_attr_set(vbo, col, *v, c); - *v += 1; + GPU_vertbuf_attr_set(vbo, axis, *v, a); + GPU_vertbuf_attr_set(vbo, pos, *v, p); + GPU_vertbuf_attr_set(vbo, col, *v, c); + *v += 1; } #define S_X 0.0215f #define S_Y 0.025f static float x_axis_name[4][2] = { - { 0.9f * S_X, 1.0f * S_Y}, {-1.0f * S_X, -1.0f * S_Y}, - {-0.9f * S_X, 1.0f * S_Y}, { 1.0f * S_X, -1.0f * S_Y}, + {0.9f * S_X, 1.0f * S_Y}, + {-1.0f * S_X, -1.0f * S_Y}, + {-0.9f * S_X, 1.0f * S_Y}, + {1.0f * S_X, -1.0f * S_Y}, }; #define X_LEN (sizeof(x_axis_name) / (sizeof(float) * 2)) #undef S_X @@ -2603,9 +2722,12 @@ static float x_axis_name[4][2] = { #define S_X 0.0175f #define S_Y 0.025f static float y_axis_name[6][2] = { - {-1.0f * S_X, 1.0f * S_Y}, { 0.0f * S_X, -0.1f * S_Y}, - { 1.0f * S_X, 1.0f * S_Y}, { 0.0f * S_X, -0.1f * S_Y}, - { 0.0f * S_X, -0.1f * S_Y}, { 0.0f * S_X, -1.0f * S_Y}, + {-1.0f * S_X, 1.0f * S_Y}, + {0.0f * S_X, -0.1f * S_Y}, + {1.0f * S_X, 1.0f * S_Y}, + {0.0f * S_X, -0.1f * S_Y}, + {0.0f * S_X, -0.1f * S_Y}, + {0.0f * S_X, -1.0f * S_Y}, }; #define Y_LEN (sizeof(y_axis_name) / (sizeof(float) * 2)) #undef S_X @@ -2614,11 +2736,16 @@ static float y_axis_name[6][2] = { #define S_X 0.02f #define S_Y 0.025f static float z_axis_name[10][2] = { - {-0.95f * S_X, 1.00f * S_Y}, { 0.95f * S_X, 1.00f * S_Y}, - { 0.95f * S_X, 1.00f * S_Y}, { 0.95f * S_X, 0.90f * S_Y}, - { 0.95f * S_X, 0.90f * S_Y}, {-1.00f * S_X, -0.90f * S_Y}, - {-1.00f * S_X, -0.90f * S_Y}, {-1.00f * S_X, -1.00f * S_Y}, - {-1.00f * S_X, -1.00f * S_Y}, { 1.00f * S_X, -1.00f * S_Y}, + {-0.95f * S_X, 1.00f * S_Y}, + {0.95f * S_X, 1.00f * S_Y}, + {0.95f * S_X, 1.00f * S_Y}, + {0.95f * S_X, 0.90f * S_Y}, + {0.95f * S_X, 0.90f * S_Y}, + {-1.00f * S_X, -0.90f * S_Y}, + {-1.00f * S_X, -0.90f * S_Y}, + {-1.00f * S_X, -1.00f * S_Y}, + {-1.00f * S_X, -1.00f * S_Y}, + {1.00f * S_X, -1.00f * S_Y}, }; #define Z_LEN (sizeof(z_axis_name) / (sizeof(float) * 2)) #undef S_X @@ -2628,15 +2755,19 @@ static float z_axis_name[10][2] = { #define S_Y 0.007f static float axis_marker[8][2] = { #if 0 /* square */ - {-1.0f * S_X, 1.0f * S_Y}, { 1.0f * S_X, 1.0f * S_Y}, - { 1.0f * S_X, 1.0f * S_Y}, { 1.0f * S_X, -1.0f * S_Y}, - { 1.0f * S_X, -1.0f * S_Y}, {-1.0f * S_X, -1.0f * S_Y}, - {-1.0f * S_X, -1.0f * S_Y}, {-1.0f * S_X, 1.0f * S_Y} + {-1.0f * S_X, 1.0f * S_Y}, { 1.0f * S_X, 1.0f * S_Y}, + { 1.0f * S_X, 1.0f * S_Y}, { 1.0f * S_X, -1.0f * S_Y}, + { 1.0f * S_X, -1.0f * S_Y}, {-1.0f * S_X, -1.0f * S_Y}, + {-1.0f * S_X, -1.0f * S_Y}, {-1.0f * S_X, 1.0f * S_Y} #else /* diamond */ - {-S_X, 0.f}, { 0.f, S_Y}, - { 0.f, S_Y}, { S_X, 0.f}, - { S_X, 0.f}, { 0.f, -S_Y}, - { 0.f, -S_Y}, {-S_X, 0.f} + {-S_X, 0.f}, + {0.f, S_Y}, + {0.f, S_Y}, + {S_X, 0.f}, + {S_X, 0.f}, + {0.f, -S_Y}, + {0.f, -S_Y}, + {-S_X, 0.f} #endif }; #define MARKER_LEN (sizeof(axis_marker) / (sizeof(float) * 2)) @@ -2646,13 +2777,17 @@ static float axis_marker[8][2] = { #define S_X 0.0007f #define S_Y 0.0007f -#define O_X 0.001f +#define O_X 0.001f #define O_Y -0.001f static float axis_name_shadow[8][2] = { - {-S_X + O_X, S_Y + O_Y}, { S_X + O_X, S_Y + O_Y}, - { S_X + O_X, S_Y + O_Y}, { S_X + O_X, -S_Y + O_Y}, - { S_X + O_X, -S_Y + O_Y}, {-S_X + O_X, -S_Y + O_Y}, - {-S_X + O_X, -S_Y + O_Y}, {-S_X + O_X, S_Y + O_Y}, + {-S_X + O_X, S_Y + O_Y}, + {S_X + O_X, S_Y + O_Y}, + {S_X + O_X, S_Y + O_Y}, + {S_X + O_X, -S_Y + O_Y}, + {S_X + O_X, -S_Y + O_Y}, + {-S_X + O_X, -S_Y + O_Y}, + {-S_X + O_X, -S_Y + O_Y}, + {-S_X + O_X, S_Y + O_Y}, }; // #define SHADOW_RES (sizeof(axis_name_shadow) / (sizeof(float) * 2)) #define SHADOW_RES 0 @@ -2663,177 +2798,197 @@ static float axis_name_shadow[8][2] = { GPUBatch *DRW_cache_bone_arrows_get(void) { - if (!SHC.drw_bone_arrows) { - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint axis, pos, col; } attr_id; - if (format.attr_len == 0) { - attr_id.axis = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - attr_id.pos = GPU_vertformat_attr_add(&format, "screenPos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.col = GPU_vertformat_attr_add(&format, "colorAxis", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - /* Line */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, (2 + MARKER_LEN * MARKER_FILL_LAYER) * 3 + - (X_LEN + Y_LEN + Z_LEN) * (1 + SHADOW_RES)); - - uint v = 0; - - for (int axis = 0; axis < 3; axis++) { - float pos[2] = {0.0f, 0.0f}; - float c[3] = {0.0f, 0.0f, 0.0f}; - float a = 0.0f; - /* center to axis line */ - set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, pos, c); - c[axis] = 0.5f; - a = axis + 0.25f; - set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, pos, c); - - /* Axis end marker */ - for (int j = 1; j < MARKER_FILL_LAYER + 1; ++j) { - for (int i = 0; i < MARKER_LEN; ++i) { - float tmp[2]; - mul_v2_v2fl(tmp, axis_marker[i], j / (float)MARKER_FILL_LAYER); - set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, - &v, &a, tmp, c); - } - } - - a = axis + 0.31f; - /* Axis name */ - int axis_v_len; - float (*axis_verts)[2]; - if (axis == 0) { - axis_verts = x_axis_name; - axis_v_len = X_LEN; - } - else if (axis == 1) { - axis_verts = y_axis_name; - axis_v_len = Y_LEN; - } - else { - axis_verts = z_axis_name; - axis_v_len = Z_LEN; - } - - /* Axis name shadows */ - copy_v3_fl(c, 0.0f); - c[axis] = 0.3f; - for (int j = 0; j < SHADOW_RES; ++j) { - for (int i = 0; i < axis_v_len; ++i) { - float tmp[2]; - add_v2_v2v2(tmp, axis_verts[i], axis_name_shadow[j]); - set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, - &v, &a, tmp, c); - } - } - - /* Axis name */ - copy_v3_fl(c, 0.1f); - c[axis] = 1.0f; - for (int i = 0; i < axis_v_len; ++i) { - set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, - &v, &a, axis_verts[i], c); - } - } - - SHC.drw_bone_arrows = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_arrows; + if (!SHC.drw_bone_arrows) { + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint axis, pos, col; + } attr_id; + if (format.attr_len == 0) { + attr_id.axis = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + attr_id.pos = GPU_vertformat_attr_add( + &format, "screenPos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.col = GPU_vertformat_attr_add( + &format, "colorAxis", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + /* Line */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, + (2 + MARKER_LEN * MARKER_FILL_LAYER) * 3 + + (X_LEN + Y_LEN + Z_LEN) * (1 + SHADOW_RES)); + + uint v = 0; + + for (int axis = 0; axis < 3; axis++) { + float pos[2] = {0.0f, 0.0f}; + float c[3] = {0.0f, 0.0f, 0.0f}; + float a = 0.0f; + /* center to axis line */ + set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, pos, c); + c[axis] = 0.5f; + a = axis + 0.25f; + set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, pos, c); + + /* Axis end marker */ + for (int j = 1; j < MARKER_FILL_LAYER + 1; ++j) { + for (int i = 0; i < MARKER_LEN; ++i) { + float tmp[2]; + mul_v2_v2fl(tmp, axis_marker[i], j / (float)MARKER_FILL_LAYER); + set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, tmp, c); + } + } + + a = axis + 0.31f; + /* Axis name */ + int axis_v_len; + float(*axis_verts)[2]; + if (axis == 0) { + axis_verts = x_axis_name; + axis_v_len = X_LEN; + } + else if (axis == 1) { + axis_verts = y_axis_name; + axis_v_len = Y_LEN; + } + else { + axis_verts = z_axis_name; + axis_v_len = Z_LEN; + } + + /* Axis name shadows */ + copy_v3_fl(c, 0.0f); + c[axis] = 0.3f; + for (int j = 0; j < SHADOW_RES; ++j) { + for (int i = 0; i < axis_v_len; ++i) { + float tmp[2]; + add_v2_v2v2(tmp, axis_verts[i], axis_name_shadow[j]); + set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, tmp, c); + } + } + + /* Axis name */ + copy_v3_fl(c, 0.1f); + c[axis] = 1.0f; + for (int i = 0; i < axis_v_len; ++i) { + set_bone_axis_vert(vbo, attr_id.axis, attr_id.pos, attr_id.col, &v, &a, axis_verts[i], c); + } + } + + SHC.drw_bone_arrows = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_arrows; } static const float staticSine[16] = { - 0.0f, 0.104528463268f, 0.207911690818f, 0.309016994375f, - 0.406736643076f, 0.5f, 0.587785252292f, 0.669130606359f, - 0.743144825477f, 0.809016994375f, 0.866025403784f, - 0.913545457643f, 0.951056516295f, 0.978147600734f, - 0.994521895368f, 1.0f, + 0.0f, + 0.104528463268f, + 0.207911690818f, + 0.309016994375f, + 0.406736643076f, + 0.5f, + 0.587785252292f, + 0.669130606359f, + 0.743144825477f, + 0.809016994375f, + 0.866025403784f, + 0.913545457643f, + 0.951056516295f, + 0.978147600734f, + 0.994521895368f, + 1.0f, }; -#define set_vert(a, b, quarter) { \ - copy_v2_fl2(pos, (quarter % 2 == 0) ? -(a) : (a), (quarter < 2) ? -(b) : (b)); \ - GPU_vertbuf_attr_set(vbo, attr_id.pos, v++, pos); \ - } ((void)0) +#define set_vert(a, b, quarter) \ + { \ + copy_v2_fl2(pos, (quarter % 2 == 0) ? -(a) : (a), (quarter < 2) ? -(b) : (b)); \ + GPU_vertbuf_attr_set(vbo, attr_id.pos, v++, pos); \ + } \ + ((void)0) GPUBatch *DRW_cache_bone_dof_sphere_get(void) { - if (!SHC.drw_bone_dof_sphere) { - int i, j, q, n = ARRAY_SIZE(staticSine); - float x, z, px, pz, pos[2]; - - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, n * n * 6 * 4); - - uint v = 0; - for (q = 0; q < 4; ++q) { - pz = 0.0f; - for (i = 1; i < n; ++i) { - z = staticSine[i]; - px = 0.0f; - for (j = 1; j <= (n - i); ++j) { - x = staticSine[j]; - if (j == n - i) { - set_vert(px, z, q); - set_vert(px, pz, q); - set_vert(x, pz, q); - } - else { - set_vert(x, z, q); - set_vert(x, pz, q); - set_vert(px, z, q); - - set_vert(x, pz, q); - set_vert(px, pz, q); - set_vert(px, z, q); - } - px = x; - } - pz = z; - } - } - /* TODO alloc right count from the begining. */ - GPU_vertbuf_data_resize(vbo, v); - - SHC.drw_bone_dof_sphere = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_dof_sphere; + if (!SHC.drw_bone_dof_sphere) { + int i, j, q, n = ARRAY_SIZE(staticSine); + float x, z, px, pz, pos[2]; + + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, n * n * 6 * 4); + + uint v = 0; + for (q = 0; q < 4; ++q) { + pz = 0.0f; + for (i = 1; i < n; ++i) { + z = staticSine[i]; + px = 0.0f; + for (j = 1; j <= (n - i); ++j) { + x = staticSine[j]; + if (j == n - i) { + set_vert(px, z, q); + set_vert(px, pz, q); + set_vert(x, pz, q); + } + else { + set_vert(x, z, q); + set_vert(x, pz, q); + set_vert(px, z, q); + + set_vert(x, pz, q); + set_vert(px, pz, q); + set_vert(px, z, q); + } + px = x; + } + pz = z; + } + } + /* TODO alloc right count from the begining. */ + GPU_vertbuf_data_resize(vbo, v); + + SHC.drw_bone_dof_sphere = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_dof_sphere; } GPUBatch *DRW_cache_bone_dof_lines_get(void) { - if (!SHC.drw_bone_dof_lines) { - int i, n = ARRAY_SIZE(staticSine); - float pos[2]; + if (!SHC.drw_bone_dof_lines) { + int i, n = ARRAY_SIZE(staticSine); + float pos[2]; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, n * 4); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, n * 4); - uint v = 0; - for (i = 0; i < n * 4; i++) { - float a = (1.0f - (i / (float)(n * 4))) * 2.0f * M_PI; - float x = cosf(a); - float y = sinf(a); - set_vert(x, y, 0); - } + uint v = 0; + for (i = 0; i < n * 4; i++) { + float a = (1.0f - (i / (float)(n * 4))) * 2.0f * M_PI; + float x = cosf(a); + float y = sinf(a); + set_vert(x, y, 0); + } - SHC.drw_bone_dof_lines = GPU_batch_create_ex(GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_bone_dof_lines; + SHC.drw_bone_dof_lines = GPU_batch_create_ex( + GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_bone_dof_lines; } #undef set_vert @@ -2852,135 +3007,145 @@ GPUBatch *DRW_cache_bone_dof_lines_get(void) */ static const float camera_coords_frame_bounds[5] = { - 0.0f, /* center point */ - 1.0f, /* + X + Y */ - 2.0f, /* + X - Y */ - 3.0f, /* - X - Y */ - 4.0f, /* - X + Y */ + 0.0f, /* center point */ + 1.0f, /* + X + Y */ + 2.0f, /* + X - Y */ + 3.0f, /* - X - Y */ + 4.0f, /* - X + Y */ }; static const float camera_coords_frame_tri[3] = { - 5.0f, /* tria + X */ - 6.0f, /* tria - X */ - 7.0f, /* tria + Y */ + 5.0f, /* tria + X */ + 6.0f, /* tria - X */ + 7.0f, /* tria + Y */ }; /** Draw a loop of lines. */ -static void camera_fill_lines_loop_fl_v1( - GPUVertBufRaw *pos_step, - const float *coords, const uint coords_len) +static void camera_fill_lines_loop_fl_v1(GPUVertBufRaw *pos_step, + const float *coords, + const uint coords_len) { - for (uint i = 0, i_prev = coords_len - 1; i < coords_len; i_prev = i++) { - *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i_prev]; - *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; - } + for (uint i = 0, i_prev = coords_len - 1; i < coords_len; i_prev = i++) { + *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i_prev]; + *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; + } } /** Fan lines out from the first vertex. */ -static void camera_fill_lines_fan_fl_v1( - GPUVertBufRaw *pos_step, - const float *coords, const uint coords_len) +static void camera_fill_lines_fan_fl_v1(GPUVertBufRaw *pos_step, + const float *coords, + const uint coords_len) { - for (uint i = 1; i < coords_len; i++) { - *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[0]; - *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; - } + for (uint i = 1; i < coords_len; i++) { + *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[0]; + *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; + } } /** Simply fill the array. */ -static void camera_fill_array_fl_v1( - GPUVertBufRaw *pos_step, - const float *coords, const uint coords_len) +static void camera_fill_array_fl_v1(GPUVertBufRaw *pos_step, + const float *coords, + const uint coords_len) { - for (uint i = 0; i < coords_len; i++) { - *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; - } + for (uint i = 0; i < coords_len; i++) { + *((float *)GPU_vertbuf_raw_step(pos_step)) = coords[i]; + } } - GPUBatch *DRW_cache_camera_get(void) { - if (!SHC.drw_camera) { - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } + if (!SHC.drw_camera) { + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - const int vbo_len_capacity = 22; - GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); - GPUVertBufRaw pos_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + const int vbo_len_capacity = 22; + GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); + GPUVertBufRaw pos_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); - /* camera cone (from center to frame) */ - camera_fill_lines_fan_fl_v1(&pos_step, camera_coords_frame_bounds, ARRAY_SIZE(camera_coords_frame_bounds)); + /* camera cone (from center to frame) */ + camera_fill_lines_fan_fl_v1( + &pos_step, camera_coords_frame_bounds, ARRAY_SIZE(camera_coords_frame_bounds)); - /* camera frame (skip center) */ - camera_fill_lines_loop_fl_v1(&pos_step, &camera_coords_frame_bounds[1], ARRAY_SIZE(camera_coords_frame_bounds) - 1); + /* camera frame (skip center) */ + camera_fill_lines_loop_fl_v1( + &pos_step, &camera_coords_frame_bounds[1], ARRAY_SIZE(camera_coords_frame_bounds) - 1); - /* camera triangle (above the frame) */ - camera_fill_lines_loop_fl_v1(&pos_step, camera_coords_frame_tri, ARRAY_SIZE(camera_coords_frame_tri)); + /* camera triangle (above the frame) */ + camera_fill_lines_loop_fl_v1( + &pos_step, camera_coords_frame_tri, ARRAY_SIZE(camera_coords_frame_tri)); - BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); + BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); - SHC.drw_camera = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_camera; + SHC.drw_camera = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_camera; } GPUBatch *DRW_cache_camera_frame_get(void) { - if (!SHC.drw_camera_frame) { + if (!SHC.drw_camera_frame) { - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - const int vbo_len_capacity = 8; - GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); - GPUVertBufRaw pos_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + const int vbo_len_capacity = 8; + GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); + GPUVertBufRaw pos_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); - /* camera frame (skip center) */ - camera_fill_lines_loop_fl_v1(&pos_step, &camera_coords_frame_bounds[1], ARRAY_SIZE(camera_coords_frame_bounds) - 1); + /* camera frame (skip center) */ + camera_fill_lines_loop_fl_v1( + &pos_step, &camera_coords_frame_bounds[1], ARRAY_SIZE(camera_coords_frame_bounds) - 1); - BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); + BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); - SHC.drw_camera_frame = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_camera_frame; + SHC.drw_camera_frame = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_camera_frame; } GPUBatch *DRW_cache_camera_tria_get(void) { - if (!SHC.drw_camera_tria) { - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } + if (!SHC.drw_camera_tria) { + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } - /* Vertices */ - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - const int vbo_len_capacity = 3; - GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); - GPUVertBufRaw pos_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); + /* Vertices */ + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + const int vbo_len_capacity = 3; + GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); + GPUVertBufRaw pos_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); - /* camera triangle (above the frame) */ - camera_fill_array_fl_v1(&pos_step, camera_coords_frame_tri, ARRAY_SIZE(camera_coords_frame_tri)); + /* camera triangle (above the frame) */ + camera_fill_array_fl_v1( + &pos_step, camera_coords_frame_tri, ARRAY_SIZE(camera_coords_frame_tri)); - BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); + BLI_assert(vbo_len_capacity == GPU_vertbuf_raw_used(&pos_step)); - SHC.drw_camera_tria = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_camera_tria; + SHC.drw_camera_tria = GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_camera_tria; } /** \} */ @@ -2992,24 +3157,26 @@ GPUBatch *DRW_cache_camera_tria_get(void) /* Object Center */ GPUBatch *DRW_cache_single_vert_get(void) { - if (!SHC.drw_single_vertice) { - float v1[3] = {0.0f, 0.0f, 0.0f}; + if (!SHC.drw_single_vertice) { + float v1[3] = {0.0f, 0.0f, 0.0f}; - /* Position Only 3D format */ - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } + /* Position Only 3D format */ + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 1); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 1); - GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); + GPU_vertbuf_attr_set(vbo, attr_id.pos, 0, v1); - SHC.drw_single_vertice = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - return SHC.drw_single_vertice; + SHC.drw_single_vertice = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + return SHC.drw_single_vertice; } /** \} */ @@ -3020,88 +3187,94 @@ GPUBatch *DRW_cache_single_vert_get(void) GPUBatch *DRW_cache_mesh_all_verts_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_all_verts(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_all_verts(ob->data); } GPUBatch *DRW_cache_mesh_all_edges_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_all_edges(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_all_edges(ob->data); } GPUBatch *DRW_cache_mesh_loose_edges_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_loose_edges(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_loose_edges(ob->data); } GPUBatch *DRW_cache_mesh_edge_detection_get(Object *ob, bool *r_is_manifold) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_edge_detection(ob->data, r_is_manifold); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_edge_detection(ob->data, r_is_manifold); } GPUBatch *DRW_cache_mesh_surface_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface(ob->data); } GPUBatch *DRW_cache_mesh_surface_edges_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_edges(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_edges(ob->data); } /* Return list of batches with length equal to max(1, totcol). */ -GPUBatch **DRW_cache_mesh_surface_shaded_get( - Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count) -{ - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_shaded( - ob->data, gpumat_array, gpumat_array_len, - auto_layer_names, auto_layer_is_srgb, auto_layer_count); +GPUBatch **DRW_cache_mesh_surface_shaded_get(Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count) +{ + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_shaded(ob->data, + gpumat_array, + gpumat_array_len, + auto_layer_names, + auto_layer_is_srgb, + auto_layer_count); } /* Return list of batches with length equal to max(1, totcol). */ GPUBatch **DRW_cache_mesh_surface_texpaint_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_texpaint(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_texpaint(ob->data); } GPUBatch *DRW_cache_mesh_surface_texpaint_single_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_texpaint_single(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_texpaint_single(ob->data); } GPUBatch *DRW_cache_mesh_surface_vertpaint_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_vertpaint(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_vertpaint(ob->data); } GPUBatch *DRW_cache_mesh_surface_weights_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_surface_weights(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_surface_weights(ob->data); } GPUBatch *DRW_cache_mesh_face_wireframe_get(Object *ob) { - BLI_assert(ob->type == OB_MESH); - return DRW_mesh_batch_cache_get_wireframes_face(ob->data); + BLI_assert(ob->type == OB_MESH); + return DRW_mesh_batch_cache_get_wireframes_face(ob->data); } void DRW_cache_mesh_sculpt_coords_ensure(Object *ob) { - BLI_assert(ob->type == OB_MESH); + BLI_assert(ob->type == OB_MESH); - Mesh *me = ob->data; - DRW_mesh_cache_sculpt_coords_ensure(me); + Mesh *me = ob->data; + DRW_mesh_cache_sculpt_coords_ensure(me); } /** \} */ @@ -3112,107 +3285,109 @@ void DRW_cache_mesh_sculpt_coords_ensure(Object *ob) GPUBatch *DRW_cache_curve_edge_wire_get(Object *ob) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_wire_edge(cu); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_wire_edge(cu); } GPUBatch *DRW_cache_curve_edge_normal_get(Object *ob) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_normal_edge(cu); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_normal_edge(cu); } GPUBatch *DRW_cache_curve_edge_overlay_get(Object *ob) { - BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF)); + BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF)); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_edit_edges(cu); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_edit_edges(cu); } GPUBatch *DRW_cache_curve_vert_overlay_get(Object *ob, bool handles) { - BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF)); + BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF)); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_edit_verts(cu, handles); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_edit_verts(cu, handles); } GPUBatch *DRW_cache_curve_surface_get(Object *ob) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_triangles_with_normals(cu); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_triangles_with_normals(cu); + } } GPUBatch *DRW_cache_curve_loose_edges_get(Object *ob) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); - } - else { - /* TODO */ - UNUSED_VARS(cu); - return NULL; - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); + } + else { + /* TODO */ + UNUSED_VARS(cu); + return NULL; + } } GPUBatch *DRW_cache_curve_face_wireframe_get(Object *ob) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_wireframes_face(cu); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_wireframes_face(cu); + } } GPUBatch *DRW_cache_curve_edge_detection_get(Object *ob, bool *r_is_manifold) { - BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); - } - else { - return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); - } + BLI_assert(ob->type == OB_CURVE); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); + } + else { + return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); + } } /* Return list of batches */ -GPUBatch **DRW_cache_curve_surface_shaded_get( - Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len) +GPUBatch **DRW_cache_curve_surface_shaded_get(Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len) { - BLI_assert(ob->type == OB_CURVE); + BLI_assert(ob->type == OB_CURVE); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface_shaded(mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); - } - else { - return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface_shaded( + mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); + } + else { + return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); + } } /** \} */ @@ -3223,28 +3398,29 @@ GPUBatch **DRW_cache_curve_surface_shaded_get( GPUBatch *DRW_cache_mball_surface_get(Object *ob) { - BLI_assert(ob->type == OB_MBALL); - return DRW_metaball_batch_cache_get_triangles_with_normals(ob); + BLI_assert(ob->type == OB_MBALL); + return DRW_metaball_batch_cache_get_triangles_with_normals(ob); } GPUBatch *DRW_cache_mball_edge_detection_get(Object *ob, bool *r_is_manifold) { - BLI_assert(ob->type == OB_MBALL); - return DRW_metaball_batch_cache_get_edge_detection(ob, r_is_manifold); + BLI_assert(ob->type == OB_MBALL); + return DRW_metaball_batch_cache_get_edge_detection(ob, r_is_manifold); } GPUBatch *DRW_cache_mball_face_wireframe_get(Object *ob) { - BLI_assert(ob->type == OB_MBALL); - return DRW_metaball_batch_cache_get_wireframes_face(ob); + BLI_assert(ob->type == OB_MBALL); + return DRW_metaball_batch_cache_get_wireframes_face(ob); } -GPUBatch **DRW_cache_mball_surface_shaded_get( - Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len) +GPUBatch **DRW_cache_mball_surface_shaded_get(Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len) { - BLI_assert(ob->type == OB_MBALL); - MetaBall *mb = ob->data; - return DRW_metaball_batch_cache_get_surface_shaded(ob, mb, gpumat_array, gpumat_array_len); + BLI_assert(ob->type == OB_MBALL); + MetaBall *mb = ob->data; + return DRW_metaball_batch_cache_get_surface_shaded(ob, mb, gpumat_array, gpumat_array_len); } /** \} */ @@ -3255,92 +3431,94 @@ GPUBatch **DRW_cache_mball_surface_shaded_get( GPUBatch *DRW_cache_text_edge_wire_get(Object *ob) { - BLI_assert(ob->type == OB_FONT); + BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_wire_edge(cu); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_wire_edge(cu); } GPUBatch *DRW_cache_text_surface_get(Object *ob) { - BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (cu->editfont && (cu->flag & CU_FAST)) { - return NULL; - } - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_triangles_with_normals(cu); - } + BLI_assert(ob->type == OB_FONT); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (cu->editfont && (cu->flag & CU_FAST)) { + return NULL; + } + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_triangles_with_normals(cu); + } } GPUBatch *DRW_cache_text_edge_detection_get(Object *ob, bool *r_is_manifold) { - BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (cu->editfont && (cu->flag & CU_FAST)) { - return NULL; - } - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); - } - else { - return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); - } + BLI_assert(ob->type == OB_FONT); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (cu->editfont && (cu->flag & CU_FAST)) { + return NULL; + } + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); + } + else { + return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); + } } GPUBatch *DRW_cache_text_loose_edges_get(Object *ob) { - BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (cu->editfont && (cu->flag & CU_FAST)) { - return NULL; - } - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); - } - else { - /* TODO */ - return NULL; - } + BLI_assert(ob->type == OB_FONT); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (cu->editfont && (cu->flag & CU_FAST)) { + return NULL; + } + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); + } + else { + /* TODO */ + return NULL; + } } GPUBatch *DRW_cache_text_face_wireframe_get(Object *ob) { - BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (cu->editfont && (cu->flag & CU_FAST)) { - return NULL; - } - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_wireframes_face(cu); - } -} - -GPUBatch **DRW_cache_text_surface_shaded_get( - Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len) -{ - BLI_assert(ob->type == OB_FONT); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (cu->editfont && (cu->flag & CU_FAST)) { - return NULL; - } - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface_shaded(mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); - } - else { - return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); - } + BLI_assert(ob->type == OB_FONT); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (cu->editfont && (cu->flag & CU_FAST)) { + return NULL; + } + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_wireframes_face(cu); + } +} + +GPUBatch **DRW_cache_text_surface_shaded_get(Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len) +{ + BLI_assert(ob->type == OB_FONT); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (cu->editfont && (cu->flag & CU_FAST)) { + return NULL; + } + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface_shaded( + mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); + } + else { + return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); + } } /** \} */ @@ -3351,83 +3529,85 @@ GPUBatch **DRW_cache_text_surface_shaded_get( GPUBatch *DRW_cache_surf_surface_get(Object *ob) { - BLI_assert(ob->type == OB_SURF); + BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_triangles_with_normals(cu); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_triangles_with_normals(cu); + } } GPUBatch *DRW_cache_surf_edge_wire_get(Object *ob) { - BLI_assert(ob->type == OB_SURF); + BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - return DRW_curve_batch_cache_get_wire_edge(cu); + struct Curve *cu = ob->data; + return DRW_curve_batch_cache_get_wire_edge(cu); } GPUBatch *DRW_cache_surf_face_wireframe_get(Object *ob) { - BLI_assert(ob->type == OB_SURF); + BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); - } - else { - return DRW_curve_batch_cache_get_wireframes_face(cu); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_wireframes_face(mesh_eval); + } + else { + return DRW_curve_batch_cache_get_wireframes_face(cu); + } } GPUBatch *DRW_cache_surf_edge_detection_get(Object *ob, bool *r_is_manifold) { - BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); - } - else { - return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); - } + BLI_assert(ob->type == OB_SURF); + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_edge_detection(mesh_eval, r_is_manifold); + } + else { + return DRW_curve_batch_cache_get_edge_detection(cu, r_is_manifold); + } } GPUBatch *DRW_cache_surf_loose_edges_get(Object *ob) { - BLI_assert(ob->type == OB_SURF); + BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); - } - else { - /* TODO */ - UNUSED_VARS(cu); - return NULL; - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_loose_edges(mesh_eval); + } + else { + /* TODO */ + UNUSED_VARS(cu); + return NULL; + } } /* Return list of batches */ -GPUBatch **DRW_cache_surf_surface_shaded_get( - Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len) +GPUBatch **DRW_cache_surf_surface_shaded_get(Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len) { - BLI_assert(ob->type == OB_SURF); + BLI_assert(ob->type == OB_SURF); - struct Curve *cu = ob->data; - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - if (mesh_eval != NULL) { - return DRW_mesh_batch_cache_get_surface_shaded(mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); - } - else { - return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); - } + struct Curve *cu = ob->data; + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + if (mesh_eval != NULL) { + return DRW_mesh_batch_cache_get_surface_shaded( + mesh_eval, gpumat_array, gpumat_array_len, NULL, NULL, NULL); + } + else { + return DRW_curve_batch_cache_get_surface_shaded(cu, gpumat_array, gpumat_array_len); + } } /** \} */ @@ -3438,32 +3618,32 @@ GPUBatch **DRW_cache_surf_surface_shaded_get( GPUBatch *DRW_cache_lattice_verts_get(Object *ob) { - BLI_assert(ob->type == OB_LATTICE); + BLI_assert(ob->type == OB_LATTICE); - struct Lattice *lt = ob->data; - return DRW_lattice_batch_cache_get_all_verts(lt); + struct Lattice *lt = ob->data; + return DRW_lattice_batch_cache_get_all_verts(lt); } GPUBatch *DRW_cache_lattice_wire_get(Object *ob, bool use_weight) { - BLI_assert(ob->type == OB_LATTICE); + BLI_assert(ob->type == OB_LATTICE); - Lattice *lt = ob->data; - int actdef = -1; + Lattice *lt = ob->data; + int actdef = -1; - if (use_weight && ob->defbase.first && lt->editlatt->latt->dvert) { - actdef = ob->actdef - 1; - } + if (use_weight && ob->defbase.first && lt->editlatt->latt->dvert) { + actdef = ob->actdef - 1; + } - return DRW_lattice_batch_cache_get_all_edges(lt, use_weight, actdef); + return DRW_lattice_batch_cache_get_all_edges(lt, use_weight, actdef); } GPUBatch *DRW_cache_lattice_vert_overlay_get(Object *ob) { - BLI_assert(ob->type == OB_LATTICE); + BLI_assert(ob->type == OB_LATTICE); - struct Lattice *lt = ob->data; - return DRW_lattice_batch_cache_get_edit_verts(lt); + struct Lattice *lt = ob->data; + return DRW_lattice_batch_cache_get_edit_verts(lt); } /** \} */ @@ -3474,263 +3654,266 @@ GPUBatch *DRW_cache_lattice_vert_overlay_get(Object *ob) GPUBatch *DRW_cache_particles_get_hair(Object *object, ParticleSystem *psys, ModifierData *md) { - return DRW_particles_batch_cache_get_hair(object, psys, md); + return DRW_particles_batch_cache_get_hair(object, psys, md); } GPUBatch *DRW_cache_particles_get_dots(Object *object, ParticleSystem *psys) { - return DRW_particles_batch_cache_get_dots(object, psys); + return DRW_particles_batch_cache_get_dots(object, psys); } -GPUBatch *DRW_cache_particles_get_edit_strands( - Object *object, - ParticleSystem *psys, - struct PTCacheEdit *edit, - bool use_weight) +GPUBatch *DRW_cache_particles_get_edit_strands(Object *object, + ParticleSystem *psys, + struct PTCacheEdit *edit, + bool use_weight) { - return DRW_particles_batch_cache_get_edit_strands(object, psys, edit, use_weight); + return DRW_particles_batch_cache_get_edit_strands(object, psys, edit, use_weight); } -GPUBatch *DRW_cache_particles_get_edit_inner_points( - Object *object, - ParticleSystem *psys, - struct PTCacheEdit *edit) +GPUBatch *DRW_cache_particles_get_edit_inner_points(Object *object, + ParticleSystem *psys, + struct PTCacheEdit *edit) { - return DRW_particles_batch_cache_get_edit_inner_points(object, psys, edit); + return DRW_particles_batch_cache_get_edit_inner_points(object, psys, edit); } -GPUBatch *DRW_cache_particles_get_edit_tip_points( - Object *object, - ParticleSystem *psys, - struct PTCacheEdit *edit) +GPUBatch *DRW_cache_particles_get_edit_tip_points(Object *object, + ParticleSystem *psys, + struct PTCacheEdit *edit) { - return DRW_particles_batch_cache_get_edit_tip_points(object, psys, edit); + return DRW_particles_batch_cache_get_edit_tip_points(object, psys, edit); } GPUBatch *DRW_cache_particles_get_prim(int type) { - switch (type) { - case PART_DRAW_CROSS: - if (!SHC.drw_particle_cross) { - static GPUVertFormat format = { 0 }; - static uint pos_id, axis_id; - - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 6); - - /* X axis */ - float co[3] = {-1.0f, 0.0f, 0.0f}; - int axis = -1; - GPU_vertbuf_attr_set(vbo, pos_id, 0, co); - GPU_vertbuf_attr_set(vbo, axis_id, 0, &axis); - - co[0] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 1, co); - GPU_vertbuf_attr_set(vbo, axis_id, 1, &axis); - - /* Y axis */ - co[0] = 0.0f; - co[1] = -1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 2, co); - GPU_vertbuf_attr_set(vbo, axis_id, 2, &axis); - - co[1] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 3, co); - GPU_vertbuf_attr_set(vbo, axis_id, 3, &axis); - - /* Z axis */ - co[1] = 0.0f; - co[2] = -1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 4, co); - GPU_vertbuf_attr_set(vbo, axis_id, 4, &axis); - - co[2] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 5, co); - GPU_vertbuf_attr_set(vbo, axis_id, 5, &axis); - - SHC.drw_particle_cross = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - - return SHC.drw_particle_cross; - case PART_DRAW_AXIS: - if (!SHC.drw_particle_axis) { - static GPUVertFormat format = { 0 }; - static uint pos_id, axis_id; - - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 6); - - /* X axis */ - float co[3] = {0.0f, 0.0f, 0.0f}; - int axis = 0; - GPU_vertbuf_attr_set(vbo, pos_id, 0, co); - GPU_vertbuf_attr_set(vbo, axis_id, 0, &axis); - - co[0] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 1, co); - GPU_vertbuf_attr_set(vbo, axis_id, 1, &axis); - - /* Y axis */ - co[0] = 0.0f; - axis = 1; - GPU_vertbuf_attr_set(vbo, pos_id, 2, co); - GPU_vertbuf_attr_set(vbo, axis_id, 2, &axis); - - co[1] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 3, co); - GPU_vertbuf_attr_set(vbo, axis_id, 3, &axis); - - /* Z axis */ - co[1] = 0.0f; - axis = 2; - GPU_vertbuf_attr_set(vbo, pos_id, 4, co); - GPU_vertbuf_attr_set(vbo, axis_id, 4, &axis); - - co[2] = 1.0f; - GPU_vertbuf_attr_set(vbo, pos_id, 5, co); - GPU_vertbuf_attr_set(vbo, axis_id, 5, &axis); - - SHC.drw_particle_axis = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - - return SHC.drw_particle_axis; - case PART_DRAW_CIRC: + switch (type) { + case PART_DRAW_CROSS: + if (!SHC.drw_particle_cross) { + static GPUVertFormat format = {0}; + static uint pos_id, axis_id; + + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 6); + + /* X axis */ + float co[3] = {-1.0f, 0.0f, 0.0f}; + int axis = -1; + GPU_vertbuf_attr_set(vbo, pos_id, 0, co); + GPU_vertbuf_attr_set(vbo, axis_id, 0, &axis); + + co[0] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 1, co); + GPU_vertbuf_attr_set(vbo, axis_id, 1, &axis); + + /* Y axis */ + co[0] = 0.0f; + co[1] = -1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 2, co); + GPU_vertbuf_attr_set(vbo, axis_id, 2, &axis); + + co[1] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 3, co); + GPU_vertbuf_attr_set(vbo, axis_id, 3, &axis); + + /* Z axis */ + co[1] = 0.0f; + co[2] = -1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 4, co); + GPU_vertbuf_attr_set(vbo, axis_id, 4, &axis); + + co[2] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 5, co); + GPU_vertbuf_attr_set(vbo, axis_id, 5, &axis); + + SHC.drw_particle_cross = GPU_batch_create_ex( + GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + + return SHC.drw_particle_cross; + case PART_DRAW_AXIS: + if (!SHC.drw_particle_axis) { + static GPUVertFormat format = {0}; + static uint pos_id, axis_id; + + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 6); + + /* X axis */ + float co[3] = {0.0f, 0.0f, 0.0f}; + int axis = 0; + GPU_vertbuf_attr_set(vbo, pos_id, 0, co); + GPU_vertbuf_attr_set(vbo, axis_id, 0, &axis); + + co[0] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 1, co); + GPU_vertbuf_attr_set(vbo, axis_id, 1, &axis); + + /* Y axis */ + co[0] = 0.0f; + axis = 1; + GPU_vertbuf_attr_set(vbo, pos_id, 2, co); + GPU_vertbuf_attr_set(vbo, axis_id, 2, &axis); + + co[1] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 3, co); + GPU_vertbuf_attr_set(vbo, axis_id, 3, &axis); + + /* Z axis */ + co[1] = 0.0f; + axis = 2; + GPU_vertbuf_attr_set(vbo, pos_id, 4, co); + GPU_vertbuf_attr_set(vbo, axis_id, 4, &axis); + + co[2] = 1.0f; + GPU_vertbuf_attr_set(vbo, pos_id, 5, co); + GPU_vertbuf_attr_set(vbo, axis_id, 5, &axis); + + SHC.drw_particle_axis = GPU_batch_create_ex(GPU_PRIM_LINES, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + + return SHC.drw_particle_axis; + case PART_DRAW_CIRC: #define CIRCLE_RESOL 32 - if (!SHC.drw_particle_circle) { - float v[3] = {0.0f, 0.0f, 0.0f}; - int axis = -1; - - static GPUVertFormat format = { 0 }; - static uint pos_id, axis_id; - - if (format.attr_len == 0) { - pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); - } - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); - - for (int a = 0; a < CIRCLE_RESOL; a++) { - v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); - v[2] = 0.0f; - GPU_vertbuf_attr_set(vbo, pos_id, a, v); - GPU_vertbuf_attr_set(vbo, axis_id, a, &axis); - } - - SHC.drw_particle_circle = GPU_batch_create_ex(GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - - return SHC.drw_particle_circle; + if (!SHC.drw_particle_circle) { + float v[3] = {0.0f, 0.0f, 0.0f}; + int axis = -1; + + static GPUVertFormat format = {0}; + static uint pos_id, axis_id; + + if (format.attr_len == 0) { + pos_id = GPU_vertformat_attr_add(&format, "inst_pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + axis_id = GPU_vertformat_attr_add(&format, "axis", GPU_COMP_I32, 1, GPU_FETCH_INT); + } + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, CIRCLE_RESOL); + + for (int a = 0; a < CIRCLE_RESOL; a++) { + v[0] = sinf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[1] = cosf((2.0f * M_PI * a) / ((float)CIRCLE_RESOL)); + v[2] = 0.0f; + GPU_vertbuf_attr_set(vbo, pos_id, a, v); + GPU_vertbuf_attr_set(vbo, axis_id, a, &axis); + } + + SHC.drw_particle_circle = GPU_batch_create_ex( + GPU_PRIM_LINE_LOOP, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + + return SHC.drw_particle_circle; #undef CIRCLE_RESOL - default: - BLI_assert(false); - break; - } + default: + BLI_assert(false); + break; + } - return NULL; + return NULL; } /* 3D cursor */ GPUBatch *DRW_cache_cursor_get(bool crosshair_lines) { - GPUBatch **drw_cursor = crosshair_lines ? &SHC.drw_cursor : &SHC.drw_cursor_only_circle; + GPUBatch **drw_cursor = crosshair_lines ? &SHC.drw_cursor : &SHC.drw_cursor_only_circle; - if (*drw_cursor == NULL) { - const float f5 = 0.25f; - const float f10 = 0.5f; - const float f20 = 1.0f; + if (*drw_cursor == NULL) { + const float f5 = 0.25f; + const float f10 = 0.5f; + const float f20 = 1.0f; - const int segments = 16; - const int vert_len = segments + 8; - const int index_len = vert_len + 5; + const int segments = 16; + const int vert_len = segments + 8; + const int index_len = vert_len + 5; - uchar red[3] = {255, 0, 0}; - uchar white[3] = {255, 255, 255}; + uchar red[3] = {255, 0, 0}; + uchar white[3] = {255, 255, 255}; - static GPUVertFormat format = { 0 }; - static struct { uint pos, color; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - attr_id.color = GPU_vertformat_attr_add(&format, "color", GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - } + static GPUVertFormat format = {0}; + static struct { + uint pos, color; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + attr_id.color = GPU_vertformat_attr_add( + &format, "color", GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + } - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, index_len, vert_len, true); + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, index_len, vert_len, true); - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, vert_len); + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, vert_len); - int v = 0; - for (int i = 0; i < segments; ++i) { - float angle = (float)(2 * M_PI) * ((float)i / (float)segments); - float x = f10 * cosf(angle); - float y = f10 * sinf(angle); + int v = 0; + for (int i = 0; i < segments; ++i) { + float angle = (float)(2 * M_PI) * ((float)i / (float)segments); + float x = f10 * cosf(angle); + float y = f10 * sinf(angle); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, (i % 2 == 0) ? red : white); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, (i % 2 == 0) ? red : white); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){x, y}); - GPU_indexbuf_add_generic_vert(&elb, v++); - } - GPU_indexbuf_add_generic_vert(&elb, 0); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){x, y}); + GPU_indexbuf_add_generic_vert(&elb, v++); + } + GPU_indexbuf_add_generic_vert(&elb, 0); - if (crosshair_lines) { - uchar crosshair_color[3]; - UI_GetThemeColor3ubv(TH_VIEW_OVERLAY, crosshair_color); + if (crosshair_lines) { + uchar crosshair_color[3]; + UI_GetThemeColor3ubv(TH_VIEW_OVERLAY, crosshair_color); - GPU_indexbuf_add_primitive_restart(&elb); + GPU_indexbuf_add_primitive_restart(&elb); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){-f20, 0}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){-f5, 0}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){-f20, 0}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){-f5, 0}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_indexbuf_add_primitive_restart(&elb); + GPU_indexbuf_add_primitive_restart(&elb); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){+f5, 0}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){+f20, 0}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){+f5, 0}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){+f20, 0}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_indexbuf_add_primitive_restart(&elb); + GPU_indexbuf_add_primitive_restart(&elb); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, -f20}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, -f5}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, -f20}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, -f5}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_indexbuf_add_primitive_restart(&elb); + GPU_indexbuf_add_primitive_restart(&elb); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, +f5}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); - GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, +f20}); - GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); - GPU_indexbuf_add_generic_vert(&elb, v++); - } + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, +f5}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); + GPU_vertbuf_attr_set(vbo, attr_id.pos, v, (const float[2]){0, +f20}); + GPU_vertbuf_attr_set(vbo, attr_id.color, v, crosshair_color); + GPU_indexbuf_add_generic_vert(&elb, v++); + } - GPUIndexBuf *ibo = GPU_indexbuf_build(&elb); + GPUIndexBuf *ibo = GPU_indexbuf_build(&elb); - *drw_cursor = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, ibo, GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); - } - return *drw_cursor; + *drw_cursor = GPU_batch_create_ex( + GPU_PRIM_LINE_STRIP, vbo, ibo, GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); + } + return *drw_cursor; } /** \} */ @@ -3741,97 +3924,97 @@ GPUBatch *DRW_cache_cursor_get(bool crosshair_lines) GPUBatch *DRW_batch_request(GPUBatch **batch) { - /* XXX TODO(fclem): We are writting to batch cache here. Need to make this thread safe. */ - if (*batch == NULL) { - *batch = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); - } - return *batch; + /* XXX TODO(fclem): We are writting to batch cache here. Need to make this thread safe. */ + if (*batch == NULL) { + *batch = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); + } + return *batch; } bool DRW_batch_requested(GPUBatch *batch, int prim_type) { - /* Batch has been requested if it has been created but not initialized. */ - if (batch != NULL && batch->verts[0] == NULL) { - /* HACK. We init without a valid VBO and let the first vbo binding - * fill verts[0]. */ - GPU_batch_init_ex(batch, prim_type, (GPUVertBuf *)1, NULL, 0); - batch->verts[0] = NULL; - return true; - } - return false; + /* Batch has been requested if it has been created but not initialized. */ + if (batch != NULL && batch->verts[0] == NULL) { + /* HACK. We init without a valid VBO and let the first vbo binding + * fill verts[0]. */ + GPU_batch_init_ex(batch, prim_type, (GPUVertBuf *)1, NULL, 0); + batch->verts[0] = NULL; + return true; + } + return false; } void DRW_ibo_request(GPUBatch *batch, GPUIndexBuf **ibo) { - if (*ibo == NULL) { - *ibo = MEM_callocN(sizeof(GPUIndexBuf), "GPUIndexBuf"); - } - GPU_batch_vao_cache_clear(batch); - batch->elem = *ibo; + if (*ibo == NULL) { + *ibo = MEM_callocN(sizeof(GPUIndexBuf), "GPUIndexBuf"); + } + GPU_batch_vao_cache_clear(batch); + batch->elem = *ibo; } bool DRW_ibo_requested(GPUIndexBuf *ibo) { - /* TODO do not rely on data uploaded. This prevents multithreading. - * (need access to a gl context) */ - return (ibo != NULL && ibo->ibo_id == 0 && ibo->data == NULL); + /* TODO do not rely on data uploaded. This prevents multithreading. + * (need access to a gl context) */ + return (ibo != NULL && ibo->ibo_id == 0 && ibo->data == NULL); } void DRW_vbo_request(GPUBatch *batch, GPUVertBuf **vbo) { - if (*vbo == NULL) { - *vbo = MEM_callocN(sizeof(GPUVertBuf), "GPUVertBuf"); - } - /* HACK set first vbo if not init. */ - if (batch->verts[0] == NULL) { - GPU_batch_vao_cache_clear(batch); - batch->verts[0] = *vbo; - } - else { - /* HACK: bypass assert */ - int vbo_vert_len = (*vbo)->vertex_len; - (*vbo)->vertex_len = batch->verts[0]->vertex_len; - GPU_batch_vertbuf_add(batch, *vbo); - (*vbo)->vertex_len = vbo_vert_len; - } + if (*vbo == NULL) { + *vbo = MEM_callocN(sizeof(GPUVertBuf), "GPUVertBuf"); + } + /* HACK set first vbo if not init. */ + if (batch->verts[0] == NULL) { + GPU_batch_vao_cache_clear(batch); + batch->verts[0] = *vbo; + } + else { + /* HACK: bypass assert */ + int vbo_vert_len = (*vbo)->vertex_len; + (*vbo)->vertex_len = batch->verts[0]->vertex_len; + GPU_batch_vertbuf_add(batch, *vbo); + (*vbo)->vertex_len = vbo_vert_len; + } } bool DRW_vbo_requested(GPUVertBuf *vbo) { - return (vbo != NULL && vbo->format.attr_len == 0); + return (vbo != NULL && vbo->format.attr_len == 0); } void drw_batch_cache_generate_requested(Object *ob) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const ToolSettings *ts = draw_ctx->scene->toolsettings; - const enum eContextObjectMode mode = CTX_data_mode_enum_ex( - draw_ctx->object_edit, draw_ctx->obact, draw_ctx->object_mode); - const bool is_paint_mode = ELEM(mode, CTX_MODE_PAINT_TEXTURE, CTX_MODE_PAINT_VERTEX, CTX_MODE_PAINT_WEIGHT); - - const bool use_hide = ( - (ob->type == OB_MESH) && - ((is_paint_mode && (ob == draw_ctx->obact) && - DRW_object_use_hide_faces(ob)) || - ((mode == CTX_MODE_EDIT_MESH) && BKE_object_is_in_editmode(ob)))); - - struct Mesh *mesh_eval = ob->runtime.mesh_eval; - switch (ob->type) { - case OB_MESH: - DRW_mesh_batch_cache_create_requested(ob, (Mesh *)ob->data, ts, is_paint_mode, use_hide); - break; - case OB_CURVE: - case OB_FONT: - case OB_SURF: - if (mesh_eval) { - DRW_mesh_batch_cache_create_requested(ob, mesh_eval, ts, is_paint_mode, use_hide); - } - DRW_curve_batch_cache_create_requested(ob); - break; - /* TODO all cases */ - default: - break; - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + const ToolSettings *ts = draw_ctx->scene->toolsettings; + const enum eContextObjectMode mode = CTX_data_mode_enum_ex( + draw_ctx->object_edit, draw_ctx->obact, draw_ctx->object_mode); + const bool is_paint_mode = ELEM( + mode, CTX_MODE_PAINT_TEXTURE, CTX_MODE_PAINT_VERTEX, CTX_MODE_PAINT_WEIGHT); + + const bool use_hide = ((ob->type == OB_MESH) && + ((is_paint_mode && (ob == draw_ctx->obact) && + DRW_object_use_hide_faces(ob)) || + ((mode == CTX_MODE_EDIT_MESH) && BKE_object_is_in_editmode(ob)))); + + struct Mesh *mesh_eval = ob->runtime.mesh_eval; + switch (ob->type) { + case OB_MESH: + DRW_mesh_batch_cache_create_requested(ob, (Mesh *)ob->data, ts, is_paint_mode, use_hide); + break; + case OB_CURVE: + case OB_FONT: + case OB_SURF: + if (mesh_eval) { + DRW_mesh_batch_cache_create_requested(ob, mesh_eval, ts, is_paint_mode, use_hide); + } + DRW_curve_batch_cache_create_requested(ob); + break; + /* TODO all cases */ + default: + break; + } } /** \} */ diff --git a/source/blender/draw/intern/draw_cache.h b/source/blender/draw/intern/draw_cache.h index 2940a2c89f8..c9ae0a01cb9 100644 --- a/source/blender/draw/intern/draw_cache.h +++ b/source/blender/draw/intern/draw_cache.h @@ -52,9 +52,12 @@ struct GPUBatch *DRW_cache_object_all_edges_get(struct Object *ob); struct GPUBatch *DRW_cache_object_edge_detection_get(struct Object *ob, bool *r_is_manifold); struct GPUBatch *DRW_cache_object_surface_get(struct Object *ob); struct GPUBatch *DRW_cache_object_loose_edges_get(struct Object *ob); -struct GPUBatch **DRW_cache_object_surface_material_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count); +struct GPUBatch **DRW_cache_object_surface_material_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count); struct GPUBatch *DRW_cache_object_face_wireframe_get(Object *ob); /* Empties */ @@ -127,9 +130,12 @@ struct GPUBatch *DRW_cache_mesh_loose_edges_get(struct Object *ob); struct GPUBatch *DRW_cache_mesh_edge_detection_get(struct Object *ob, bool *r_is_manifold); struct GPUBatch *DRW_cache_mesh_surface_get(struct Object *ob); struct GPUBatch *DRW_cache_mesh_surface_edges_get(struct Object *ob); -struct GPUBatch **DRW_cache_mesh_surface_shaded_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count); +struct GPUBatch **DRW_cache_mesh_surface_shaded_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count); struct GPUBatch **DRW_cache_mesh_surface_texpaint_get(struct Object *ob); struct GPUBatch *DRW_cache_mesh_surface_texpaint_single_get(struct Object *ob); struct GPUBatch *DRW_cache_mesh_surface_vertpaint_get(struct Object *ob); @@ -140,8 +146,9 @@ void DRW_cache_mesh_sculpt_coords_ensure(struct Object *ob); /* Curve */ struct GPUBatch *DRW_cache_curve_surface_get(struct Object *ob); -struct GPUBatch **DRW_cache_curve_surface_shaded_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_cache_curve_surface_shaded_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_cache_curve_loose_edges_get(struct Object *ob); struct GPUBatch *DRW_cache_curve_edge_wire_get(struct Object *ob); struct GPUBatch *DRW_cache_curve_face_wireframe_get(Object *ob); @@ -156,16 +163,18 @@ struct GPUBatch *DRW_cache_text_surface_get(struct Object *ob); struct GPUBatch *DRW_cache_text_edge_detection_get(Object *ob, bool *r_is_manifold); struct GPUBatch *DRW_cache_text_loose_edges_get(struct Object *ob); struct GPUBatch *DRW_cache_text_edge_wire_get(struct Object *ob); -struct GPUBatch **DRW_cache_text_surface_shaded_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_cache_text_surface_shaded_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_cache_text_face_wireframe_get(Object *ob); /* Surface */ struct GPUBatch *DRW_cache_surf_surface_get(struct Object *ob); struct GPUBatch *DRW_cache_surf_edge_wire_get(struct Object *ob); struct GPUBatch *DRW_cache_surf_loose_edges_get(struct Object *ob); -struct GPUBatch **DRW_cache_surf_surface_shaded_get( - struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_cache_surf_surface_shaded_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_cache_surf_face_wireframe_get(Object *ob); struct GPUBatch *DRW_cache_surf_edge_detection_get(struct Object *ob, bool *r_is_manifold); @@ -175,21 +184,27 @@ struct GPUBatch *DRW_cache_lattice_wire_get(struct Object *ob, bool use_weight); struct GPUBatch *DRW_cache_lattice_vert_overlay_get(struct Object *ob); /* Particles */ -struct GPUBatch *DRW_cache_particles_get_hair( - struct Object *object, struct ParticleSystem *psys, struct ModifierData *md); -struct GPUBatch *DRW_cache_particles_get_dots( - struct Object *object, struct ParticleSystem *psys); -struct GPUBatch *DRW_cache_particles_get_edit_strands( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit, bool use_weight); -struct GPUBatch *DRW_cache_particles_get_edit_inner_points( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit); -struct GPUBatch *DRW_cache_particles_get_edit_tip_points( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit); +struct GPUBatch *DRW_cache_particles_get_hair(struct Object *object, + struct ParticleSystem *psys, + struct ModifierData *md); +struct GPUBatch *DRW_cache_particles_get_dots(struct Object *object, struct ParticleSystem *psys); +struct GPUBatch *DRW_cache_particles_get_edit_strands(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit, + bool use_weight); +struct GPUBatch *DRW_cache_particles_get_edit_inner_points(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit); +struct GPUBatch *DRW_cache_particles_get_edit_tip_points(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit); struct GPUBatch *DRW_cache_particles_get_prim(int type); /* Metaball */ struct GPUBatch *DRW_cache_mball_surface_get(struct Object *ob); -struct GPUBatch **DRW_cache_mball_surface_shaded_get(struct Object *ob, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_cache_mball_surface_shaded_get(struct Object *ob, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_cache_mball_face_wireframe_get(Object *ob); struct GPUBatch *DRW_cache_mball_edge_detection_get(struct Object *ob, bool *r_is_manifold); diff --git a/source/blender/draw/intern/draw_cache_impl.h b/source/blender/draw/intern/draw_cache_impl.h index 4e014711245..94d8a82f2e4 100644 --- a/source/blender/draw/intern/draw_cache_impl.h +++ b/source/blender/draw/intern/draw_cache_impl.h @@ -71,36 +71,48 @@ struct GPUBatch *DRW_curve_batch_cache_get_edit_edges(struct Curve *cu); struct GPUBatch *DRW_curve_batch_cache_get_edit_verts(struct Curve *cu, bool handles); struct GPUBatch *DRW_curve_batch_cache_get_triangles_with_normals(struct Curve *cu); -struct GPUBatch **DRW_curve_batch_cache_get_surface_shaded( - struct Curve *cu, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_curve_batch_cache_get_surface_shaded(struct Curve *cu, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_curve_batch_cache_get_wireframes_face(struct Curve *cu); /* Metaball */ struct GPUBatch *DRW_metaball_batch_cache_get_triangles_with_normals(struct Object *ob); -struct GPUBatch **DRW_metaball_batch_cache_get_surface_shaded( - struct Object *ob, struct MetaBall *mb, struct GPUMaterial **gpumat_array, uint gpumat_array_len); +struct GPUBatch **DRW_metaball_batch_cache_get_surface_shaded(struct Object *ob, + struct MetaBall *mb, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len); struct GPUBatch *DRW_metaball_batch_cache_get_wireframes_face(struct Object *ob); -struct GPUBatch *DRW_metaball_batch_cache_get_edge_detection(struct Object *ob, bool *r_is_manifold); +struct GPUBatch *DRW_metaball_batch_cache_get_edge_detection(struct Object *ob, + bool *r_is_manifold); /* DispList */ void DRW_displist_vertbuf_create_pos_and_nor(struct ListBase *lb, struct GPUVertBuf *vbo); void DRW_displist_vertbuf_create_wiredata(struct ListBase *lb, struct GPUVertBuf *vbo); -void DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv( - struct ListBase *lb, struct GPUVertBuf *vbo_pos_nor, struct GPUVertBuf *vbo_uv); +void DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv(struct ListBase *lb, + struct GPUVertBuf *vbo_pos_nor, + struct GPUVertBuf *vbo_uv); void DRW_displist_indexbuf_create_lines_in_order(struct ListBase *lb, struct GPUIndexBuf *ibo); void DRW_displist_indexbuf_create_triangles_in_order(struct ListBase *lb, struct GPUIndexBuf *ibo); -void DRW_displist_indexbuf_create_triangles_loop_split_by_material( - struct ListBase *lb, struct GPUIndexBuf **ibo_mat, uint mat_len); -void DRW_displist_indexbuf_create_edges_adjacency_lines(struct ListBase *lb, struct GPUIndexBuf *ibo, bool *r_is_manifold); +void DRW_displist_indexbuf_create_triangles_loop_split_by_material(struct ListBase *lb, + struct GPUIndexBuf **ibo_mat, + uint mat_len); +void DRW_displist_indexbuf_create_edges_adjacency_lines(struct ListBase *lb, + struct GPUIndexBuf *ibo, + bool *r_is_manifold); /* Lattice */ -struct GPUBatch *DRW_lattice_batch_cache_get_all_edges(struct Lattice *lt, bool use_weight, const int actdef); +struct GPUBatch *DRW_lattice_batch_cache_get_all_edges(struct Lattice *lt, + bool use_weight, + const int actdef); struct GPUBatch *DRW_lattice_batch_cache_get_all_verts(struct Lattice *lt); struct GPUBatch *DRW_lattice_batch_cache_get_edit_verts(struct Lattice *lt); /* Mesh */ -void DRW_mesh_batch_cache_create_requested( - struct Object *ob, struct Mesh *me, - const struct ToolSettings *ts, const bool is_paint_mode, const bool use_hide); +void DRW_mesh_batch_cache_create_requested(struct Object *ob, + struct Mesh *me, + const struct ToolSettings *ts, + const bool is_paint_mode, + const bool use_hide); struct GPUBatch *DRW_mesh_batch_cache_get_all_verts(struct Mesh *me); struct GPUBatch *DRW_mesh_batch_cache_get_all_edges(struct Mesh *me); @@ -108,9 +120,12 @@ struct GPUBatch *DRW_mesh_batch_cache_get_loose_edges(struct Mesh *me); struct GPUBatch *DRW_mesh_batch_cache_get_edge_detection(struct Mesh *me, bool *r_is_manifold); struct GPUBatch *DRW_mesh_batch_cache_get_surface(struct Mesh *me); struct GPUBatch *DRW_mesh_batch_cache_get_surface_edges(struct Mesh *me); -struct GPUBatch **DRW_mesh_batch_cache_get_surface_shaded( - struct Mesh *me, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count); +struct GPUBatch **DRW_mesh_batch_cache_get_surface_shaded(struct Mesh *me, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count); struct GPUBatch **DRW_mesh_batch_cache_get_surface_texpaint(struct Mesh *me); struct GPUBatch *DRW_mesh_batch_cache_get_surface_texpaint_single(struct Mesh *me); struct GPUBatch *DRW_mesh_batch_cache_get_surface_vertpaint(struct Mesh *me); @@ -142,45 +157,52 @@ void DRW_mesh_cache_sculpt_coords_ensure(struct Mesh *me); /* Edit mesh bitflags (is this the right place?) */ enum { - VFLAG_VERT_ACTIVE = 1 << 0, - VFLAG_VERT_SELECTED = 1 << 1, - VFLAG_EDGE_ACTIVE = 1 << 2, - VFLAG_EDGE_SELECTED = 1 << 3, - VFLAG_EDGE_SEAM = 1 << 4, - VFLAG_EDGE_SHARP = 1 << 5, - VFLAG_EDGE_FREESTYLE = 1 << 6, - /* Beware to not go over 1 << 7 (it's a byte flag) - * (see gpu_shader_edit_mesh_overlay_geom.glsl) */ + VFLAG_VERT_ACTIVE = 1 << 0, + VFLAG_VERT_SELECTED = 1 << 1, + VFLAG_EDGE_ACTIVE = 1 << 2, + VFLAG_EDGE_SELECTED = 1 << 3, + VFLAG_EDGE_SEAM = 1 << 4, + VFLAG_EDGE_SHARP = 1 << 5, + VFLAG_EDGE_FREESTYLE = 1 << 6, + /* Beware to not go over 1 << 7 (it's a byte flag) + * (see gpu_shader_edit_mesh_overlay_geom.glsl) */ }; enum { - VFLAG_FACE_ACTIVE = 1 << 0, - VFLAG_FACE_SELECTED = 1 << 1, - VFLAG_FACE_FREESTYLE = 1 << 2, - VFLAG_VERT_UV_SELECT = 1 << 3, - VFLAG_VERT_UV_PINNED = 1 << 4, - VFLAG_EDGE_UV_SELECT = 1 << 5, - VFLAG_FACE_UV_ACTIVE = 1 << 6, - VFLAG_FACE_UV_SELECT = 1 << 7, - /* Beware to not go over 1 << 7 (it's a byte flag) - * (see gpu_shader_edit_mesh_overlay_geom.glsl) */ + VFLAG_FACE_ACTIVE = 1 << 0, + VFLAG_FACE_SELECTED = 1 << 1, + VFLAG_FACE_FREESTYLE = 1 << 2, + VFLAG_VERT_UV_SELECT = 1 << 3, + VFLAG_VERT_UV_PINNED = 1 << 4, + VFLAG_EDGE_UV_SELECT = 1 << 5, + VFLAG_FACE_UV_ACTIVE = 1 << 6, + VFLAG_FACE_UV_SELECT = 1 << 7, + /* Beware to not go over 1 << 7 (it's a byte flag) + * (see gpu_shader_edit_mesh_overlay_geom.glsl) */ }; /* Particles */ -struct GPUBatch *DRW_particles_batch_cache_get_hair( - struct Object *object, struct ParticleSystem *psys, struct ModifierData *md); -struct GPUBatch *DRW_particles_batch_cache_get_dots( - struct Object *object, struct ParticleSystem *psys); -struct GPUBatch *DRW_particles_batch_cache_get_edit_strands( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit, bool use_weight); -struct GPUBatch *DRW_particles_batch_cache_get_edit_inner_points( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit); -struct GPUBatch *DRW_particles_batch_cache_get_edit_tip_points( - struct Object *object, struct ParticleSystem *psys, struct PTCacheEdit *edit); +struct GPUBatch *DRW_particles_batch_cache_get_hair(struct Object *object, + struct ParticleSystem *psys, + struct ModifierData *md); +struct GPUBatch *DRW_particles_batch_cache_get_dots(struct Object *object, + struct ParticleSystem *psys); +struct GPUBatch *DRW_particles_batch_cache_get_edit_strands(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit, + bool use_weight); +struct GPUBatch *DRW_particles_batch_cache_get_edit_inner_points(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit); +struct GPUBatch *DRW_particles_batch_cache_get_edit_tip_points(struct Object *object, + struct ParticleSystem *psys, + struct PTCacheEdit *edit); /* Common */ -#define DRW_ADD_FLAG_FROM_VBO_REQUEST(flag, vbo, value) (flag |= DRW_vbo_requested(vbo) ? (value) : 0) -#define DRW_ADD_FLAG_FROM_IBO_REQUEST(flag, ibo, value) (flag |= DRW_ibo_requested(ibo) ? (value) : 0) +#define DRW_ADD_FLAG_FROM_VBO_REQUEST(flag, vbo, value) \ + (flag |= DRW_vbo_requested(vbo) ? (value) : 0) +#define DRW_ADD_FLAG_FROM_IBO_REQUEST(flag, ibo, value) \ + (flag |= DRW_ibo_requested(ibo) ? (value) : 0) /* Test and assign NULL if test fails */ #define DRW_TEST_ASSIGN_VBO(v) (v = (DRW_vbo_requested(v) ? (v) : NULL)) diff --git a/source/blender/draw/intern/draw_cache_impl_curve.c b/source/blender/draw/intern/draw_cache_impl_curve.c index eecb6c3dd6a..8e7a2253e21 100644 --- a/source/blender/draw/intern/draw_cache_impl_curve.c +++ b/source/blender/draw/intern/draw_cache_impl_curve.c @@ -42,17 +42,17 @@ #include "DRW_render.h" -#include "draw_cache_impl.h" /* own include */ +#include "draw_cache_impl.h" /* own include */ -#define SELECT 1 -#define ACTIVE_NURB 1 << 2 -#define EVEN_U_BIT 1 << 3 /* Alternate this bit for every U vert. */ +#define SELECT 1 +#define ACTIVE_NURB 1 << 2 +#define EVEN_U_BIT 1 << 3 /* Alternate this bit for every U vert. */ /* Used as values of `color_id` in `edit_curve_overlay_handle_geom.glsl` */ enum { - COLOR_NURB_ULINE_ID = TH_HANDLE_AUTOCLAMP - TH_HANDLE_FREE + 2, + COLOR_NURB_ULINE_ID = TH_HANDLE_AUTOCLAMP - TH_HANDLE_FREE + 2, - TOT_HANDLE_COL, + TOT_HANDLE_COL, }; /** @@ -67,474 +67,480 @@ static void curve_batch_cache_clear(Curve *cu); /* ---------------------------------------------------------------------- */ /* Curve Interface, direct access to basic data. */ -static void curve_render_overlay_verts_edges_len_get( - ListBase *lb, int *r_vert_len, int *r_edge_len) +static void curve_render_overlay_verts_edges_len_get(ListBase *lb, + int *r_vert_len, + int *r_edge_len) { - BLI_assert(r_vert_len || r_edge_len); - int vert_len = 0; - int edge_len = 0; - for (Nurb *nu = lb->first; nu; nu = nu->next) { - if (nu->bezt) { - vert_len += nu->pntsu * 3; - /* 2x handles per point*/ - edge_len += 2 * nu->pntsu; - } - else if (nu->bp) { - vert_len += nu->pntsu * nu->pntsv; - /* segments between points */ - edge_len += (nu->pntsu - 1) * nu->pntsv; - edge_len += (nu->pntsv - 1) * nu->pntsu; - } - } - if (r_vert_len) { - *r_vert_len = vert_len; - } - if (r_edge_len) { - *r_edge_len = edge_len; - } + BLI_assert(r_vert_len || r_edge_len); + int vert_len = 0; + int edge_len = 0; + for (Nurb *nu = lb->first; nu; nu = nu->next) { + if (nu->bezt) { + vert_len += nu->pntsu * 3; + /* 2x handles per point*/ + edge_len += 2 * nu->pntsu; + } + else if (nu->bp) { + vert_len += nu->pntsu * nu->pntsv; + /* segments between points */ + edge_len += (nu->pntsu - 1) * nu->pntsv; + edge_len += (nu->pntsv - 1) * nu->pntsu; + } + } + if (r_vert_len) { + *r_vert_len = vert_len; + } + if (r_edge_len) { + *r_edge_len = edge_len; + } } -static void curve_render_wire_verts_edges_len_get( - const CurveCache *ob_curve_cache, - int *r_curve_len, int *r_vert_len, int *r_edge_len) +static void curve_render_wire_verts_edges_len_get(const CurveCache *ob_curve_cache, + int *r_curve_len, + int *r_vert_len, + int *r_edge_len) { - BLI_assert(r_vert_len || r_edge_len); - int vert_len = 0; - int edge_len = 0; - int curve_len = 0; - for (const BevList *bl = ob_curve_cache->bev.first; bl; bl = bl->next) { - if (bl->nr > 0) { - const bool is_cyclic = bl->poly != -1; - edge_len += (is_cyclic) ? bl->nr : bl->nr - 1; - vert_len += bl->nr; - curve_len += 1; - } - } - for (const DispList *dl = ob_curve_cache->disp.first; dl; dl = dl->next) { - if (ELEM(dl->type, DL_SEGM, DL_POLY)) { - BLI_assert(dl->parts == 1); - const bool is_cyclic = dl->type == DL_POLY; - edge_len += (is_cyclic) ? dl->nr : dl->nr - 1; - vert_len += dl->nr; - curve_len += 1; - } - } - if (r_vert_len) { - *r_vert_len = vert_len; - } - if (r_edge_len) { - *r_edge_len = edge_len; - } - if (r_curve_len) { - *r_curve_len = curve_len; - } + BLI_assert(r_vert_len || r_edge_len); + int vert_len = 0; + int edge_len = 0; + int curve_len = 0; + for (const BevList *bl = ob_curve_cache->bev.first; bl; bl = bl->next) { + if (bl->nr > 0) { + const bool is_cyclic = bl->poly != -1; + edge_len += (is_cyclic) ? bl->nr : bl->nr - 1; + vert_len += bl->nr; + curve_len += 1; + } + } + for (const DispList *dl = ob_curve_cache->disp.first; dl; dl = dl->next) { + if (ELEM(dl->type, DL_SEGM, DL_POLY)) { + BLI_assert(dl->parts == 1); + const bool is_cyclic = dl->type == DL_POLY; + edge_len += (is_cyclic) ? dl->nr : dl->nr - 1; + vert_len += dl->nr; + curve_len += 1; + } + } + if (r_vert_len) { + *r_vert_len = vert_len; + } + if (r_edge_len) { + *r_edge_len = edge_len; + } + if (r_curve_len) { + *r_curve_len = curve_len; + } } static int curve_render_normal_len_get(const ListBase *lb, const CurveCache *ob_curve_cache) { - int normal_len = 0; - const BevList *bl; - const Nurb *nu; - for (bl = ob_curve_cache->bev.first, nu = lb->first; nu && bl; bl = bl->next, nu = nu->next) { - int nr = bl->nr; - int skip = nu->resolu / 16; + int normal_len = 0; + const BevList *bl; + const Nurb *nu; + for (bl = ob_curve_cache->bev.first, nu = lb->first; nu && bl; bl = bl->next, nu = nu->next) { + int nr = bl->nr; + int skip = nu->resolu / 16; #if 0 - while (nr-- > 0) { /* accounts for empty bevel lists */ - normal_len += 1; - nr -= skip; - } + while (nr-- > 0) { /* accounts for empty bevel lists */ + normal_len += 1; + nr -= skip; + } #else - /* Same as loop above */ - normal_len += (nr / (skip + 1)) + ((nr % (skip + 1)) != 0); + /* Same as loop above */ + normal_len += (nr / (skip + 1)) + ((nr % (skip + 1)) != 0); #endif - } - return normal_len; + } + return normal_len; } /* ---------------------------------------------------------------------- */ /* Curve Interface, indirect, partially cached access to complex data. */ typedef struct CurveRenderData { - int types; - - struct { - int vert_len; - int edge_len; - } overlay; - - struct { - int curve_len; - int vert_len; - int edge_len; - } wire; - - /* edit mode normal's */ - struct { - /* 'edge_len == len * 2' - * 'vert_len == len * 3' */ - int len; - } normal; - - struct { - EditFont *edit_font; - } text; - - /* borrow from 'Object' */ - CurveCache *ob_curve_cache; - - /* borrow from 'Curve' */ - ListBase *nurbs; - - /* edit, index in nurb list */ - int actnu; - /* edit, index in active nurb (BPoint or BezTriple) */ - int actvert; + int types; + + struct { + int vert_len; + int edge_len; + } overlay; + + struct { + int curve_len; + int vert_len; + int edge_len; + } wire; + + /* edit mode normal's */ + struct { + /* 'edge_len == len * 2' + * 'vert_len == len * 3' */ + int len; + } normal; + + struct { + EditFont *edit_font; + } text; + + /* borrow from 'Object' */ + CurveCache *ob_curve_cache; + + /* borrow from 'Curve' */ + ListBase *nurbs; + + /* edit, index in nurb list */ + int actnu; + /* edit, index in active nurb (BPoint or BezTriple) */ + int actvert; } CurveRenderData; enum { - /* Wire center-line */ - CU_DATATYPE_WIRE = 1 << 0, - /* Edit-mode verts and optionally handles */ - CU_DATATYPE_OVERLAY = 1 << 1, - /* Edit-mode normals */ - CU_DATATYPE_NORMAL = 1 << 2, - /* Geometry */ - CU_DATATYPE_SURFACE = 1 << 3, - /* Text */ - CU_DATATYPE_TEXT_SELECT = 1 << 4, + /* Wire center-line */ + CU_DATATYPE_WIRE = 1 << 0, + /* Edit-mode verts and optionally handles */ + CU_DATATYPE_OVERLAY = 1 << 1, + /* Edit-mode normals */ + CU_DATATYPE_NORMAL = 1 << 2, + /* Geometry */ + CU_DATATYPE_SURFACE = 1 << 3, + /* Text */ + CU_DATATYPE_TEXT_SELECT = 1 << 4, }; /* * ob_curve_cache can be NULL, only needed for CU_DATATYPE_WIRE */ -static CurveRenderData *curve_render_data_create(Curve *cu, CurveCache *ob_curve_cache, const int types) +static CurveRenderData *curve_render_data_create(Curve *cu, + CurveCache *ob_curve_cache, + const int types) { - CurveRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); - rdata->types = types; - ListBase *nurbs; - - rdata->actnu = cu->actnu; - rdata->actvert = cu->actvert; - - rdata->ob_curve_cache = ob_curve_cache; - - if (types & CU_DATATYPE_WIRE) { - curve_render_wire_verts_edges_len_get( - rdata->ob_curve_cache, - &rdata->wire.curve_len, &rdata->wire.vert_len, &rdata->wire.edge_len); - } - - if (cu->editnurb) { - EditNurb *editnurb = cu->editnurb; - nurbs = &editnurb->nurbs; - - if (types & CU_DATATYPE_OVERLAY) { - curve_render_overlay_verts_edges_len_get( - nurbs, - &rdata->overlay.vert_len, - &rdata->overlay.edge_len); - - rdata->actnu = cu->actnu; - rdata->actvert = cu->actvert; - } - if (types & CU_DATATYPE_NORMAL) { - rdata->normal.len = curve_render_normal_len_get(nurbs, rdata->ob_curve_cache); - } - } - else { - nurbs = &cu->nurb; - } - - rdata->nurbs = nurbs; - - rdata->text.edit_font = cu->editfont; - - return rdata; + CurveRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); + rdata->types = types; + ListBase *nurbs; + + rdata->actnu = cu->actnu; + rdata->actvert = cu->actvert; + + rdata->ob_curve_cache = ob_curve_cache; + + if (types & CU_DATATYPE_WIRE) { + curve_render_wire_verts_edges_len_get(rdata->ob_curve_cache, + &rdata->wire.curve_len, + &rdata->wire.vert_len, + &rdata->wire.edge_len); + } + + if (cu->editnurb) { + EditNurb *editnurb = cu->editnurb; + nurbs = &editnurb->nurbs; + + if (types & CU_DATATYPE_OVERLAY) { + curve_render_overlay_verts_edges_len_get( + nurbs, &rdata->overlay.vert_len, &rdata->overlay.edge_len); + + rdata->actnu = cu->actnu; + rdata->actvert = cu->actvert; + } + if (types & CU_DATATYPE_NORMAL) { + rdata->normal.len = curve_render_normal_len_get(nurbs, rdata->ob_curve_cache); + } + } + else { + nurbs = &cu->nurb; + } + + rdata->nurbs = nurbs; + + rdata->text.edit_font = cu->editfont; + + return rdata; } static void curve_render_data_free(CurveRenderData *rdata) { #if 0 - if (rdata->loose_verts) { - MEM_freeN(rdata->loose_verts); - } + if (rdata->loose_verts) { + MEM_freeN(rdata->loose_verts); + } #endif - MEM_freeN(rdata); + MEM_freeN(rdata); } static int curve_render_data_overlay_verts_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_OVERLAY); - return rdata->overlay.vert_len; + BLI_assert(rdata->types & CU_DATATYPE_OVERLAY); + return rdata->overlay.vert_len; } static int curve_render_data_overlay_edges_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_OVERLAY); - return rdata->overlay.edge_len; + BLI_assert(rdata->types & CU_DATATYPE_OVERLAY); + return rdata->overlay.edge_len; } static int curve_render_data_wire_verts_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_WIRE); - return rdata->wire.vert_len; + BLI_assert(rdata->types & CU_DATATYPE_WIRE); + return rdata->wire.vert_len; } static int curve_render_data_wire_edges_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_WIRE); - return rdata->wire.edge_len; + BLI_assert(rdata->types & CU_DATATYPE_WIRE); + return rdata->wire.edge_len; } static int curve_render_data_wire_curve_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_WIRE); - return rdata->wire.curve_len; + BLI_assert(rdata->types & CU_DATATYPE_WIRE); + return rdata->wire.curve_len; } static int curve_render_data_normal_len_get(const CurveRenderData *rdata) { - BLI_assert(rdata->types & CU_DATATYPE_NORMAL); - return rdata->normal.len; + BLI_assert(rdata->types & CU_DATATYPE_NORMAL); + return rdata->normal.len; } -static void curve_cd_calc_used_gpu_layers(int *cd_layers, struct GPUMaterial **gpumat_array, int gpumat_array_len) +static void curve_cd_calc_used_gpu_layers(int *cd_layers, + struct GPUMaterial **gpumat_array, + int gpumat_array_len) { - GPUVertAttrLayers gpu_attrs = {{{0}}}; - for (int i = 0; i < gpumat_array_len; i++) { - struct GPUMaterial *gpumat = gpumat_array[i]; - if (gpumat == NULL) { - continue; - } - GPU_material_vertex_attrs(gpumat, &gpu_attrs); - for (int j = 0; j < gpu_attrs.totlayer; j++) { - const char *name = gpu_attrs.layer[j].name; - int type = gpu_attrs.layer[j].type; - - /* Curves cannot have named layers. - * Note: We could relax this assumption later. */ - if (name[0] != '\0') { - continue; - } - - if (type == CD_AUTO_FROM_NAME) { - type = CD_MTFACE; - } - - switch (type) { - case CD_MTFACE: - *cd_layers |= CD_MLOOPUV; - break; - case CD_TANGENT: - /* Currently unsupported */ - // *cd_layers |= CD_TANGENT; - break; - case CD_MCOL: - /* Curve object don't have Color data. */ - break; - case CD_ORCO: - *cd_layers |= CD_ORCO; - break; - } - } - } + GPUVertAttrLayers gpu_attrs = {{{0}}}; + for (int i = 0; i < gpumat_array_len; i++) { + struct GPUMaterial *gpumat = gpumat_array[i]; + if (gpumat == NULL) { + continue; + } + GPU_material_vertex_attrs(gpumat, &gpu_attrs); + for (int j = 0; j < gpu_attrs.totlayer; j++) { + const char *name = gpu_attrs.layer[j].name; + int type = gpu_attrs.layer[j].type; + + /* Curves cannot have named layers. + * Note: We could relax this assumption later. */ + if (name[0] != '\0') { + continue; + } + + if (type == CD_AUTO_FROM_NAME) { + type = CD_MTFACE; + } + + switch (type) { + case CD_MTFACE: + *cd_layers |= CD_MLOOPUV; + break; + case CD_TANGENT: + /* Currently unsupported */ + // *cd_layers |= CD_TANGENT; + break; + case CD_MCOL: + /* Curve object don't have Color data. */ + break; + case CD_ORCO: + *cd_layers |= CD_ORCO; + break; + } + } + } } /* ---------------------------------------------------------------------- */ /* Curve GPUBatch Cache */ typedef struct CurveBatchCache { - struct { - GPUVertBuf *pos_nor; - GPUVertBuf *edge_fac; - GPUVertBuf *curves_pos; - - GPUVertBuf *loop_pos_nor; - GPUVertBuf *loop_uv; - } ordered; - - struct { - /* Curve points. Aligned with ordered.pos_nor */ - GPUVertBuf *curves_nor; - GPUVertBuf *curves_weight; /* TODO. */ - /* Edit points (beztriples and bpoints) */ - GPUVertBuf *pos; - GPUVertBuf *data; - } edit; - - struct { - GPUIndexBuf *surfaces_tris; - GPUIndexBuf *surfaces_lines; - GPUIndexBuf *curves_lines; - GPUIndexBuf *edges_adj_lines; - /* Edit mode */ - GPUIndexBuf *edit_verts_points; /* Only control points. Not handles. */ - GPUIndexBuf *edit_lines; - } ibo; - - struct { - GPUBatch *surfaces; - GPUBatch *surfaces_edges; - GPUBatch *curves; - /* control handles and vertices */ - GPUBatch *edit_edges; - GPUBatch *edit_verts; - GPUBatch *edit_handles_verts; - GPUBatch *edit_normals; - GPUBatch *edge_detection; - } batch; - - GPUIndexBuf **surf_per_mat_tris; - GPUBatch **surf_per_mat; - int mat_len; - int cd_used, cd_needed; - - /* settings to determine if cache is invalid */ - bool is_dirty; - bool is_editmode; - - /* Valid only if edge_detection is up to date. */ - bool is_manifold; + struct { + GPUVertBuf *pos_nor; + GPUVertBuf *edge_fac; + GPUVertBuf *curves_pos; + + GPUVertBuf *loop_pos_nor; + GPUVertBuf *loop_uv; + } ordered; + + struct { + /* Curve points. Aligned with ordered.pos_nor */ + GPUVertBuf *curves_nor; + GPUVertBuf *curves_weight; /* TODO. */ + /* Edit points (beztriples and bpoints) */ + GPUVertBuf *pos; + GPUVertBuf *data; + } edit; + + struct { + GPUIndexBuf *surfaces_tris; + GPUIndexBuf *surfaces_lines; + GPUIndexBuf *curves_lines; + GPUIndexBuf *edges_adj_lines; + /* Edit mode */ + GPUIndexBuf *edit_verts_points; /* Only control points. Not handles. */ + GPUIndexBuf *edit_lines; + } ibo; + + struct { + GPUBatch *surfaces; + GPUBatch *surfaces_edges; + GPUBatch *curves; + /* control handles and vertices */ + GPUBatch *edit_edges; + GPUBatch *edit_verts; + GPUBatch *edit_handles_verts; + GPUBatch *edit_normals; + GPUBatch *edge_detection; + } batch; + + GPUIndexBuf **surf_per_mat_tris; + GPUBatch **surf_per_mat; + int mat_len; + int cd_used, cd_needed; + + /* settings to determine if cache is invalid */ + bool is_dirty; + bool is_editmode; + + /* Valid only if edge_detection is up to date. */ + bool is_manifold; } CurveBatchCache; /* GPUBatch cache management. */ static bool curve_batch_cache_valid(Curve *cu) { - CurveBatchCache *cache = cu->batch_cache; + CurveBatchCache *cache = cu->batch_cache; - if (cache == NULL) { - return false; - } + if (cache == NULL) { + return false; + } - if (cache->mat_len != max_ii(1, cu->totcol)) { - return false; - } + if (cache->mat_len != max_ii(1, cu->totcol)) { + return false; + } - if (cache->is_dirty) { - return false; - } + if (cache->is_dirty) { + return false; + } - if (cache->is_editmode != ((cu->editnurb != NULL) || (cu->editfont != NULL))) { - return false; - } + if (cache->is_editmode != ((cu->editnurb != NULL) || (cu->editfont != NULL))) { + return false; + } - if (cache->is_editmode) { - if (cu->editfont) { - /* TODO */ - } - } + if (cache->is_editmode) { + if (cu->editfont) { + /* TODO */ + } + } - return true; + return true; } static void curve_batch_cache_init(Curve *cu) { - CurveBatchCache *cache = cu->batch_cache; + CurveBatchCache *cache = cu->batch_cache; - if (!cache) { - cache = cu->batch_cache = MEM_callocN(sizeof(*cache), __func__); - } - else { - memset(cache, 0, sizeof(*cache)); - } + if (!cache) { + cache = cu->batch_cache = MEM_callocN(sizeof(*cache), __func__); + } + else { + memset(cache, 0, sizeof(*cache)); + } #if 0 - ListBase *nurbs; - if (cu->editnurb) { - EditNurb *editnurb = cu->editnurb; - nurbs = &editnurb->nurbs; - } - else { - nurbs = &cu->nurb; - } + ListBase *nurbs; + if (cu->editnurb) { + EditNurb *editnurb = cu->editnurb; + nurbs = &editnurb->nurbs; + } + else { + nurbs = &cu->nurb; + } #endif - cache->cd_used = 0; - cache->mat_len = max_ii(1, cu->totcol); - cache->surf_per_mat_tris = MEM_mallocN(sizeof(*cache->surf_per_mat_tris) * cache->mat_len, __func__); - cache->surf_per_mat = MEM_mallocN(sizeof(*cache->surf_per_mat) * cache->mat_len, __func__); + cache->cd_used = 0; + cache->mat_len = max_ii(1, cu->totcol); + cache->surf_per_mat_tris = MEM_mallocN(sizeof(*cache->surf_per_mat_tris) * cache->mat_len, + __func__); + cache->surf_per_mat = MEM_mallocN(sizeof(*cache->surf_per_mat) * cache->mat_len, __func__); - /* TODO Might be wiser to alloc in one chunck. */ - for (int i = 0; i < cache->mat_len; ++i) { - cache->surf_per_mat_tris[i] = MEM_callocN(sizeof(GPUIndexBuf), "GPUIndexBuf"); - cache->surf_per_mat[i] = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); - } + /* TODO Might be wiser to alloc in one chunck. */ + for (int i = 0; i < cache->mat_len; ++i) { + cache->surf_per_mat_tris[i] = MEM_callocN(sizeof(GPUIndexBuf), "GPUIndexBuf"); + cache->surf_per_mat[i] = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); + } - cache->is_editmode = (cu->editnurb != NULL) || (cu->editfont != NULL); + cache->is_editmode = (cu->editnurb != NULL) || (cu->editfont != NULL); - cache->is_dirty = false; + cache->is_dirty = false; } static CurveBatchCache *curve_batch_cache_get(Curve *cu) { - if (!curve_batch_cache_valid(cu)) { - curve_batch_cache_clear(cu); - curve_batch_cache_init(cu); - } - return cu->batch_cache; + if (!curve_batch_cache_valid(cu)) { + curve_batch_cache_clear(cu); + curve_batch_cache_init(cu); + } + return cu->batch_cache; } void DRW_curve_batch_cache_dirty_tag(Curve *cu, int mode) { - CurveBatchCache *cache = cu->batch_cache; - if (cache == NULL) { - return; - } - switch (mode) { - case BKE_CURVE_BATCH_DIRTY_ALL: - cache->is_dirty = true; - break; - case BKE_CURVE_BATCH_DIRTY_SELECT: - GPU_VERTBUF_DISCARD_SAFE(cache->edit.data); - - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_edges); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_verts); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_handles_verts); - break; - default: - BLI_assert(0); - } + CurveBatchCache *cache = cu->batch_cache; + if (cache == NULL) { + return; + } + switch (mode) { + case BKE_CURVE_BATCH_DIRTY_ALL: + cache->is_dirty = true; + break; + case BKE_CURVE_BATCH_DIRTY_SELECT: + GPU_VERTBUF_DISCARD_SAFE(cache->edit.data); + + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_edges); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_verts); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_handles_verts); + break; + default: + BLI_assert(0); + } } static void curve_batch_cache_clear(Curve *cu) { - CurveBatchCache *cache = cu->batch_cache; - if (!cache) { - return; - } - - for (int i = 0; i < sizeof(cache->ordered) / sizeof(void *); ++i) { - GPUVertBuf **vbo = (GPUVertBuf **)&cache->ordered; - GPU_VERTBUF_DISCARD_SAFE(vbo[i]); - } - for (int i = 0; i < sizeof(cache->edit) / sizeof(void *); ++i) { - GPUVertBuf **vbo = (GPUVertBuf **)&cache->edit; - GPU_VERTBUF_DISCARD_SAFE(vbo[i]); - } - for (int i = 0; i < sizeof(cache->ibo) / sizeof(void *); ++i) { - GPUIndexBuf **ibo = (GPUIndexBuf **)&cache->ibo; - GPU_INDEXBUF_DISCARD_SAFE(ibo[i]); - } - for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { - GPUBatch **batch = (GPUBatch **)&cache->batch; - GPU_BATCH_DISCARD_SAFE(batch[i]); - } - - for (int i = 0; i < cache->mat_len; ++i) { - GPU_INDEXBUF_DISCARD_SAFE(cache->surf_per_mat_tris[i]); - GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); - } - MEM_SAFE_FREE(cache->surf_per_mat_tris); - MEM_SAFE_FREE(cache->surf_per_mat); - cache->mat_len = 0; - cache->cd_used = 0; + CurveBatchCache *cache = cu->batch_cache; + if (!cache) { + return; + } + + for (int i = 0; i < sizeof(cache->ordered) / sizeof(void *); ++i) { + GPUVertBuf **vbo = (GPUVertBuf **)&cache->ordered; + GPU_VERTBUF_DISCARD_SAFE(vbo[i]); + } + for (int i = 0; i < sizeof(cache->edit) / sizeof(void *); ++i) { + GPUVertBuf **vbo = (GPUVertBuf **)&cache->edit; + GPU_VERTBUF_DISCARD_SAFE(vbo[i]); + } + for (int i = 0; i < sizeof(cache->ibo) / sizeof(void *); ++i) { + GPUIndexBuf **ibo = (GPUIndexBuf **)&cache->ibo; + GPU_INDEXBUF_DISCARD_SAFE(ibo[i]); + } + for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { + GPUBatch **batch = (GPUBatch **)&cache->batch; + GPU_BATCH_DISCARD_SAFE(batch[i]); + } + + for (int i = 0; i < cache->mat_len; ++i) { + GPU_INDEXBUF_DISCARD_SAFE(cache->surf_per_mat_tris[i]); + GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); + } + MEM_SAFE_FREE(cache->surf_per_mat_tris); + MEM_SAFE_FREE(cache->surf_per_mat); + cache->mat_len = 0; + cache->cd_used = 0; } void DRW_curve_batch_cache_free(Curve *cu) { - curve_batch_cache_clear(cu); - MEM_SAFE_FREE(cu->batch_cache); + curve_batch_cache_clear(cu); + MEM_SAFE_FREE(cu->batch_cache); } /* -------------------------------------------------------------------- */ @@ -544,282 +550,291 @@ void DRW_curve_batch_cache_free(Curve *cu) /* GPUBatch cache usage. */ static void curve_create_curves_pos(CurveRenderData *rdata, GPUVertBuf *vbo_curves_pos) { - BLI_assert(rdata->ob_curve_cache != NULL); - - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - - const int vert_len = curve_render_data_wire_verts_len_get(rdata); - GPU_vertbuf_init_with_format(vbo_curves_pos, &format); - GPU_vertbuf_data_alloc(vbo_curves_pos, vert_len); - - int v_idx = 0; - for (const BevList *bl = rdata->ob_curve_cache->bev.first; bl; bl = bl->next) { - if (bl->nr <= 0) { - continue; - } - const int i_end = v_idx + bl->nr; - for (const BevPoint *bevp = bl->bevpoints; v_idx < i_end; v_idx++, bevp++) { - GPU_vertbuf_attr_set(vbo_curves_pos, attr_id.pos, v_idx, bevp->vec); - } - } - for (const DispList *dl = rdata->ob_curve_cache->disp.first; dl; dl = dl->next) { - if (ELEM(dl->type, DL_SEGM, DL_POLY)) { - for (int i = 0; i < dl->nr; v_idx++, i++) { - GPU_vertbuf_attr_set(vbo_curves_pos, attr_id.pos, v_idx, &((float(*)[3])dl->verts)[i]); - } - } - } - BLI_assert(v_idx == vert_len); + BLI_assert(rdata->ob_curve_cache != NULL); + + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + + const int vert_len = curve_render_data_wire_verts_len_get(rdata); + GPU_vertbuf_init_with_format(vbo_curves_pos, &format); + GPU_vertbuf_data_alloc(vbo_curves_pos, vert_len); + + int v_idx = 0; + for (const BevList *bl = rdata->ob_curve_cache->bev.first; bl; bl = bl->next) { + if (bl->nr <= 0) { + continue; + } + const int i_end = v_idx + bl->nr; + for (const BevPoint *bevp = bl->bevpoints; v_idx < i_end; v_idx++, bevp++) { + GPU_vertbuf_attr_set(vbo_curves_pos, attr_id.pos, v_idx, bevp->vec); + } + } + for (const DispList *dl = rdata->ob_curve_cache->disp.first; dl; dl = dl->next) { + if (ELEM(dl->type, DL_SEGM, DL_POLY)) { + for (int i = 0; i < dl->nr; v_idx++, i++) { + GPU_vertbuf_attr_set(vbo_curves_pos, attr_id.pos, v_idx, &((float(*)[3])dl->verts)[i]); + } + } + } + BLI_assert(v_idx == vert_len); } static void curve_create_curves_lines(CurveRenderData *rdata, GPUIndexBuf *ibo_curve_lines) { - BLI_assert(rdata->ob_curve_cache != NULL); - - const int vert_len = curve_render_data_wire_verts_len_get(rdata); - const int edge_len = curve_render_data_wire_edges_len_get(rdata); - const int curve_len = curve_render_data_wire_curve_len_get(rdata); - /* Count the last vertex or each strip and the primitive restart. */ - const int index_len = edge_len + curve_len * 2; - - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, index_len, vert_len, true); - - int v_idx = 0; - for (const BevList *bl = rdata->ob_curve_cache->bev.first; bl; bl = bl->next) { - if (bl->nr <= 0) { - continue; - } - const bool is_cyclic = bl->poly != -1; - if (is_cyclic) { - GPU_indexbuf_add_generic_vert(&elb, v_idx + (bl->nr - 1)); - } - for (int i = 0; i < bl->nr; i++) { - GPU_indexbuf_add_generic_vert(&elb, v_idx + i); - } - GPU_indexbuf_add_primitive_restart(&elb); - v_idx += bl->nr; - } - for (const DispList *dl = rdata->ob_curve_cache->disp.first; dl; dl = dl->next) { - if (ELEM(dl->type, DL_SEGM, DL_POLY)) { - const bool is_cyclic = dl->type == DL_POLY; - if (is_cyclic) { - GPU_indexbuf_add_generic_vert(&elb, v_idx + (dl->nr - 1)); - } - for (int i = 0; i < dl->nr; i++) { - GPU_indexbuf_add_generic_vert(&elb, v_idx + i); - } - GPU_indexbuf_add_primitive_restart(&elb); - v_idx += dl->nr; - } - } - GPU_indexbuf_build_in_place(&elb, ibo_curve_lines); + BLI_assert(rdata->ob_curve_cache != NULL); + + const int vert_len = curve_render_data_wire_verts_len_get(rdata); + const int edge_len = curve_render_data_wire_edges_len_get(rdata); + const int curve_len = curve_render_data_wire_curve_len_get(rdata); + /* Count the last vertex or each strip and the primitive restart. */ + const int index_len = edge_len + curve_len * 2; + + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, index_len, vert_len, true); + + int v_idx = 0; + for (const BevList *bl = rdata->ob_curve_cache->bev.first; bl; bl = bl->next) { + if (bl->nr <= 0) { + continue; + } + const bool is_cyclic = bl->poly != -1; + if (is_cyclic) { + GPU_indexbuf_add_generic_vert(&elb, v_idx + (bl->nr - 1)); + } + for (int i = 0; i < bl->nr; i++) { + GPU_indexbuf_add_generic_vert(&elb, v_idx + i); + } + GPU_indexbuf_add_primitive_restart(&elb); + v_idx += bl->nr; + } + for (const DispList *dl = rdata->ob_curve_cache->disp.first; dl; dl = dl->next) { + if (ELEM(dl->type, DL_SEGM, DL_POLY)) { + const bool is_cyclic = dl->type == DL_POLY; + if (is_cyclic) { + GPU_indexbuf_add_generic_vert(&elb, v_idx + (dl->nr - 1)); + } + for (int i = 0; i < dl->nr; i++) { + GPU_indexbuf_add_generic_vert(&elb, v_idx + i); + } + GPU_indexbuf_add_primitive_restart(&elb); + v_idx += dl->nr; + } + } + GPU_indexbuf_build_in_place(&elb, ibo_curve_lines); } static void curve_create_edit_curves_nor(CurveRenderData *rdata, GPUVertBuf *vbo_curves_nor) { - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor, tan, rad; } attr_id; - if (format.attr_len == 0) { - /* initialize vertex formats */ - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.rad = GPU_vertformat_attr_add(&format, "rad", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - attr_id.tan = GPU_vertformat_attr_add(&format, "tan", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - int verts_len_capacity = curve_render_data_normal_len_get(rdata) * 2; - int vbo_len_used = 0; - - GPU_vertbuf_init_with_format(vbo_curves_nor, &format); - GPU_vertbuf_data_alloc(vbo_curves_nor, verts_len_capacity); - - const BevList *bl; - const Nurb *nu; - - for (bl = rdata->ob_curve_cache->bev.first, nu = rdata->nurbs->first; - nu && bl; - bl = bl->next, nu = nu->next) - { - const BevPoint *bevp = bl->bevpoints; - int nr = bl->nr; - int skip = nu->resolu / 16; - - while (nr-- > 0) { /* accounts for empty bevel lists */ - float nor[3] = {1.0f, 0.0f, 0.0f}; - mul_qt_v3(bevp->quat, nor); - - GPUPackedNormal pnor = GPU_normal_convert_i10_v3(nor); - GPUPackedNormal ptan = GPU_normal_convert_i10_v3(bevp->dir); - - /* Only set attributes for one vertex. */ - GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.pos, vbo_len_used, bevp->vec); - GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.rad, vbo_len_used, &bevp->radius); - GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.nor, vbo_len_used, &pnor); - GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.tan, vbo_len_used, &ptan); - vbo_len_used++; - - /* Skip the other vertex (it does not need to be offseted). */ - GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.pos, vbo_len_used, bevp->vec); - vbo_len_used++; - - bevp += skip + 1; - nr -= skip; - } - } - BLI_assert(vbo_len_used == verts_len_capacity); + static GPUVertFormat format = {0}; + static struct { + uint pos, nor, tan, rad; + } attr_id; + if (format.attr_len == 0) { + /* initialize vertex formats */ + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.rad = GPU_vertformat_attr_add(&format, "rad", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format, "nor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + attr_id.tan = GPU_vertformat_attr_add( + &format, "tan", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + int verts_len_capacity = curve_render_data_normal_len_get(rdata) * 2; + int vbo_len_used = 0; + + GPU_vertbuf_init_with_format(vbo_curves_nor, &format); + GPU_vertbuf_data_alloc(vbo_curves_nor, verts_len_capacity); + + const BevList *bl; + const Nurb *nu; + + for (bl = rdata->ob_curve_cache->bev.first, nu = rdata->nurbs->first; nu && bl; + bl = bl->next, nu = nu->next) { + const BevPoint *bevp = bl->bevpoints; + int nr = bl->nr; + int skip = nu->resolu / 16; + + while (nr-- > 0) { /* accounts for empty bevel lists */ + float nor[3] = {1.0f, 0.0f, 0.0f}; + mul_qt_v3(bevp->quat, nor); + + GPUPackedNormal pnor = GPU_normal_convert_i10_v3(nor); + GPUPackedNormal ptan = GPU_normal_convert_i10_v3(bevp->dir); + + /* Only set attributes for one vertex. */ + GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.pos, vbo_len_used, bevp->vec); + GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.rad, vbo_len_used, &bevp->radius); + GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.nor, vbo_len_used, &pnor); + GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.tan, vbo_len_used, &ptan); + vbo_len_used++; + + /* Skip the other vertex (it does not need to be offseted). */ + GPU_vertbuf_attr_set(vbo_curves_nor, attr_id.pos, vbo_len_used, bevp->vec); + vbo_len_used++; + + bevp += skip + 1; + nr -= skip; + } + } + BLI_assert(vbo_len_used == verts_len_capacity); } -static char beztriple_vflag_get(CurveRenderData *rdata, char flag, char col_id, int v_idx, int nu_id) +static char beztriple_vflag_get( + CurveRenderData *rdata, char flag, char col_id, int v_idx, int nu_id) { - char vflag = 0; - SET_FLAG_FROM_TEST(vflag, (flag & SELECT), VFLAG_VERT_SELECTED); - SET_FLAG_FROM_TEST(vflag, (v_idx == rdata->actvert), VFLAG_VERT_ACTIVE); - SET_FLAG_FROM_TEST(vflag, (nu_id == rdata->actnu), ACTIVE_NURB); - /* handle color id */ - vflag |= col_id << 4; /* << 4 because of EVEN_U_BIT */ - return vflag; + char vflag = 0; + SET_FLAG_FROM_TEST(vflag, (flag & SELECT), VFLAG_VERT_SELECTED); + SET_FLAG_FROM_TEST(vflag, (v_idx == rdata->actvert), VFLAG_VERT_ACTIVE); + SET_FLAG_FROM_TEST(vflag, (nu_id == rdata->actnu), ACTIVE_NURB); + /* handle color id */ + vflag |= col_id << 4; /* << 4 because of EVEN_U_BIT */ + return vflag; } static char bpoint_vflag_get(CurveRenderData *rdata, char flag, int v_idx, int nu_id, int u) { - char vflag = 0; - SET_FLAG_FROM_TEST(vflag, (flag & SELECT), VFLAG_VERT_SELECTED); - SET_FLAG_FROM_TEST(vflag, (v_idx == rdata->actvert), VFLAG_VERT_ACTIVE); - SET_FLAG_FROM_TEST(vflag, (nu_id == rdata->actnu), ACTIVE_NURB); - SET_FLAG_FROM_TEST(vflag, ((u % 2) == 0), EVEN_U_BIT); - vflag |= COLOR_NURB_ULINE_ID << 4; /* << 4 because of EVEN_U_BIT */ - return vflag; + char vflag = 0; + SET_FLAG_FROM_TEST(vflag, (flag & SELECT), VFLAG_VERT_SELECTED); + SET_FLAG_FROM_TEST(vflag, (v_idx == rdata->actvert), VFLAG_VERT_ACTIVE); + SET_FLAG_FROM_TEST(vflag, (nu_id == rdata->actnu), ACTIVE_NURB); + SET_FLAG_FROM_TEST(vflag, ((u % 2) == 0), EVEN_U_BIT); + vflag |= COLOR_NURB_ULINE_ID << 4; /* << 4 because of EVEN_U_BIT */ + return vflag; } -static void curve_create_edit_data_and_handles( - CurveRenderData *rdata, - GPUVertBuf *vbo_pos, GPUVertBuf *vbo_data, GPUIndexBuf *ibo_edit_verts_points, GPUIndexBuf *ibo_edit_lines) +static void curve_create_edit_data_and_handles(CurveRenderData *rdata, + GPUVertBuf *vbo_pos, + GPUVertBuf *vbo_data, + GPUIndexBuf *ibo_edit_verts_points, + GPUIndexBuf *ibo_edit_lines) { - static GPUVertFormat format_pos = { 0 }; - static GPUVertFormat format_data = { 0 }; - static struct { uint pos, data; } attr_id; - if (format_pos.attr_len == 0) { - /* initialize vertex formats */ - attr_id.pos = GPU_vertformat_attr_add(&format_pos, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.data = GPU_vertformat_attr_add(&format_data, "data", GPU_COMP_U8, 1, GPU_FETCH_INT); - } - - int verts_len_capacity = curve_render_data_overlay_verts_len_get(rdata); - int edges_len_capacity = curve_render_data_overlay_edges_len_get(rdata) * 2; - int vbo_len_used = 0; - - if (DRW_TEST_ASSIGN_VBO(vbo_pos)) { - GPU_vertbuf_init_with_format(vbo_pos, &format_pos); - GPU_vertbuf_data_alloc(vbo_pos, verts_len_capacity); - } - if (DRW_TEST_ASSIGN_VBO(vbo_data)) { - GPU_vertbuf_init_with_format(vbo_data, &format_data); - GPU_vertbuf_data_alloc(vbo_data, verts_len_capacity); - } - - GPUIndexBufBuilder elb_verts, *elbp_verts = NULL; - GPUIndexBufBuilder elb_lines, *elbp_lines = NULL; - if (DRW_TEST_ASSIGN_IBO(ibo_edit_verts_points)) { - elbp_verts = &elb_verts; - GPU_indexbuf_init(elbp_verts, GPU_PRIM_POINTS, verts_len_capacity, verts_len_capacity); - } - if (DRW_TEST_ASSIGN_IBO(ibo_edit_lines)) { - elbp_lines = &elb_lines; - GPU_indexbuf_init(elbp_lines, GPU_PRIM_LINES, edges_len_capacity, verts_len_capacity); - } - - int v_idx = 0, nu_id = 0; - for (Nurb *nu = rdata->nurbs->first; nu; nu = nu->next, nu_id++) { - const BezTriple *bezt = nu->bezt; - const BPoint *bp = nu->bp; - if (bezt) { - for (int a = 0; a < nu->pntsu; a++, bezt++) { - if (bezt->hide == true) { - continue; - } - - if (elbp_verts) { - GPU_indexbuf_add_point_vert(elbp_verts, vbo_len_used + 1); - } - if (elbp_lines) { - GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used + 1, vbo_len_used + 0); - GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used + 1, vbo_len_used + 2); - } - if (vbo_data) { - char vflag[3] = { - beztriple_vflag_get(rdata, bezt->f1, bezt->h1, v_idx, nu_id), - beztriple_vflag_get(rdata, bezt->f2, bezt->h1, v_idx, nu_id), - beztriple_vflag_get(rdata, bezt->f3, bezt->h2, v_idx, nu_id), - }; - for (int j = 0; j < 3; j++) { - GPU_vertbuf_attr_set(vbo_data, attr_id.data, vbo_len_used + j, &vflag[j]); - } - } - if (vbo_pos) { - for (int j = 0; j < 3; j++) { - GPU_vertbuf_attr_set(vbo_pos, attr_id.pos, vbo_len_used + j, bezt->vec[j]); - } - } - vbo_len_used += 3; - v_idx += 1; - } - } - else if (bp) { - int pt_len = nu->pntsu * nu->pntsv; - for (int a = 0; a < pt_len; a++, bp++) { - if (bp->hide == true) { - continue; - } - int u = (a % nu->pntsu); - int v = (a / nu->pntsu); - /* Use indexed rendering for bezier. - * Specify all points and use indices to hide/show. */ - if (elbp_verts) { - GPU_indexbuf_add_point_vert(elbp_verts, vbo_len_used); - } - if (elbp_lines) { - const BPoint *bp_next_u = (u < (nu->pntsu - 1)) ? &nu->bp[a + 1] : NULL; - const BPoint *bp_next_v = (v < (nu->pntsv - 1)) ? &nu->bp[a + nu->pntsu] : NULL; - if (bp_next_u && (bp_next_u->hide == false)) { - GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used, vbo_len_used + 1); - } - if (bp_next_v && (bp_next_v->hide == false)) { - GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used, vbo_len_used + nu->pntsu); - } - } - if (vbo_data) { - char vflag = bpoint_vflag_get(rdata, bp->f1, v_idx, nu_id, u); - GPU_vertbuf_attr_set(vbo_data, attr_id.data, vbo_len_used, &vflag); - } - if (vbo_pos) { - GPU_vertbuf_attr_set(vbo_pos, attr_id.pos, vbo_len_used, bp->vec); - } - vbo_len_used += 1; - v_idx += 1; - } - } - } - - /* Resize & Finish */ - if (elbp_verts != NULL) { - GPU_indexbuf_build_in_place(elbp_verts, ibo_edit_verts_points); - } - if (elbp_lines != NULL) { - GPU_indexbuf_build_in_place(elbp_lines, ibo_edit_lines); - } - if (vbo_len_used != verts_len_capacity) { - if (vbo_pos != NULL) { - GPU_vertbuf_data_resize(vbo_pos, vbo_len_used); - } - if (vbo_data != NULL) { - GPU_vertbuf_data_resize(vbo_data, vbo_len_used); - } - } + static GPUVertFormat format_pos = {0}; + static GPUVertFormat format_data = {0}; + static struct { + uint pos, data; + } attr_id; + if (format_pos.attr_len == 0) { + /* initialize vertex formats */ + attr_id.pos = GPU_vertformat_attr_add(&format_pos, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.data = GPU_vertformat_attr_add(&format_data, "data", GPU_COMP_U8, 1, GPU_FETCH_INT); + } + + int verts_len_capacity = curve_render_data_overlay_verts_len_get(rdata); + int edges_len_capacity = curve_render_data_overlay_edges_len_get(rdata) * 2; + int vbo_len_used = 0; + + if (DRW_TEST_ASSIGN_VBO(vbo_pos)) { + GPU_vertbuf_init_with_format(vbo_pos, &format_pos); + GPU_vertbuf_data_alloc(vbo_pos, verts_len_capacity); + } + if (DRW_TEST_ASSIGN_VBO(vbo_data)) { + GPU_vertbuf_init_with_format(vbo_data, &format_data); + GPU_vertbuf_data_alloc(vbo_data, verts_len_capacity); + } + + GPUIndexBufBuilder elb_verts, *elbp_verts = NULL; + GPUIndexBufBuilder elb_lines, *elbp_lines = NULL; + if (DRW_TEST_ASSIGN_IBO(ibo_edit_verts_points)) { + elbp_verts = &elb_verts; + GPU_indexbuf_init(elbp_verts, GPU_PRIM_POINTS, verts_len_capacity, verts_len_capacity); + } + if (DRW_TEST_ASSIGN_IBO(ibo_edit_lines)) { + elbp_lines = &elb_lines; + GPU_indexbuf_init(elbp_lines, GPU_PRIM_LINES, edges_len_capacity, verts_len_capacity); + } + + int v_idx = 0, nu_id = 0; + for (Nurb *nu = rdata->nurbs->first; nu; nu = nu->next, nu_id++) { + const BezTriple *bezt = nu->bezt; + const BPoint *bp = nu->bp; + if (bezt) { + for (int a = 0; a < nu->pntsu; a++, bezt++) { + if (bezt->hide == true) { + continue; + } + + if (elbp_verts) { + GPU_indexbuf_add_point_vert(elbp_verts, vbo_len_used + 1); + } + if (elbp_lines) { + GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used + 1, vbo_len_used + 0); + GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used + 1, vbo_len_used + 2); + } + if (vbo_data) { + char vflag[3] = { + beztriple_vflag_get(rdata, bezt->f1, bezt->h1, v_idx, nu_id), + beztriple_vflag_get(rdata, bezt->f2, bezt->h1, v_idx, nu_id), + beztriple_vflag_get(rdata, bezt->f3, bezt->h2, v_idx, nu_id), + }; + for (int j = 0; j < 3; j++) { + GPU_vertbuf_attr_set(vbo_data, attr_id.data, vbo_len_used + j, &vflag[j]); + } + } + if (vbo_pos) { + for (int j = 0; j < 3; j++) { + GPU_vertbuf_attr_set(vbo_pos, attr_id.pos, vbo_len_used + j, bezt->vec[j]); + } + } + vbo_len_used += 3; + v_idx += 1; + } + } + else if (bp) { + int pt_len = nu->pntsu * nu->pntsv; + for (int a = 0; a < pt_len; a++, bp++) { + if (bp->hide == true) { + continue; + } + int u = (a % nu->pntsu); + int v = (a / nu->pntsu); + /* Use indexed rendering for bezier. + * Specify all points and use indices to hide/show. */ + if (elbp_verts) { + GPU_indexbuf_add_point_vert(elbp_verts, vbo_len_used); + } + if (elbp_lines) { + const BPoint *bp_next_u = (u < (nu->pntsu - 1)) ? &nu->bp[a + 1] : NULL; + const BPoint *bp_next_v = (v < (nu->pntsv - 1)) ? &nu->bp[a + nu->pntsu] : NULL; + if (bp_next_u && (bp_next_u->hide == false)) { + GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used, vbo_len_used + 1); + } + if (bp_next_v && (bp_next_v->hide == false)) { + GPU_indexbuf_add_line_verts(elbp_lines, vbo_len_used, vbo_len_used + nu->pntsu); + } + } + if (vbo_data) { + char vflag = bpoint_vflag_get(rdata, bp->f1, v_idx, nu_id, u); + GPU_vertbuf_attr_set(vbo_data, attr_id.data, vbo_len_used, &vflag); + } + if (vbo_pos) { + GPU_vertbuf_attr_set(vbo_pos, attr_id.pos, vbo_len_used, bp->vec); + } + vbo_len_used += 1; + v_idx += 1; + } + } + } + + /* Resize & Finish */ + if (elbp_verts != NULL) { + GPU_indexbuf_build_in_place(elbp_verts, ibo_edit_verts_points); + } + if (elbp_lines != NULL) { + GPU_indexbuf_build_in_place(elbp_lines, ibo_edit_lines); + } + if (vbo_len_used != verts_len_capacity) { + if (vbo_pos != NULL) { + GPU_vertbuf_data_resize(vbo_pos, vbo_len_used); + } + if (vbo_data != NULL) { + GPU_vertbuf_data_resize(vbo_data, vbo_len_used); + } + } } /** \} */ @@ -830,70 +845,70 @@ static void curve_create_edit_data_and_handles( GPUBatch *DRW_curve_batch_cache_get_wire_edge(Curve *cu) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - return DRW_batch_request(&cache->batch.curves); + CurveBatchCache *cache = curve_batch_cache_get(cu); + return DRW_batch_request(&cache->batch.curves); } GPUBatch *DRW_curve_batch_cache_get_normal_edge(Curve *cu) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - return DRW_batch_request(&cache->batch.edit_normals); + CurveBatchCache *cache = curve_batch_cache_get(cu); + return DRW_batch_request(&cache->batch.edit_normals); } GPUBatch *DRW_curve_batch_cache_get_edit_edges(Curve *cu) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - return DRW_batch_request(&cache->batch.edit_edges); + CurveBatchCache *cache = curve_batch_cache_get(cu); + return DRW_batch_request(&cache->batch.edit_edges); } GPUBatch *DRW_curve_batch_cache_get_edit_verts(Curve *cu, bool handles) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - if (handles) { - return DRW_batch_request(&cache->batch.edit_handles_verts); - } - else { - return DRW_batch_request(&cache->batch.edit_verts); - } + CurveBatchCache *cache = curve_batch_cache_get(cu); + if (handles) { + return DRW_batch_request(&cache->batch.edit_handles_verts); + } + else { + return DRW_batch_request(&cache->batch.edit_verts); + } } GPUBatch *DRW_curve_batch_cache_get_triangles_with_normals(struct Curve *cu) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - return DRW_batch_request(&cache->batch.surfaces); + CurveBatchCache *cache = curve_batch_cache_get(cu); + return DRW_batch_request(&cache->batch.surfaces); } -GPUBatch **DRW_curve_batch_cache_get_surface_shaded( - struct Curve *cu, - struct GPUMaterial **gpumat_array, uint gpumat_array_len) +GPUBatch **DRW_curve_batch_cache_get_surface_shaded(struct Curve *cu, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len) { - CurveBatchCache *cache = curve_batch_cache_get(cu); + CurveBatchCache *cache = curve_batch_cache_get(cu); - BLI_assert(gpumat_array_len == cache->mat_len); + BLI_assert(gpumat_array_len == cache->mat_len); - curve_cd_calc_used_gpu_layers(&cache->cd_needed, gpumat_array, gpumat_array_len); + curve_cd_calc_used_gpu_layers(&cache->cd_needed, gpumat_array, gpumat_array_len); - for (int i = 0; i < cache->mat_len; ++i) { - DRW_batch_request(&cache->surf_per_mat[i]); - } - return cache->surf_per_mat; + for (int i = 0; i < cache->mat_len; ++i) { + DRW_batch_request(&cache->surf_per_mat[i]); + } + return cache->surf_per_mat; } GPUBatch *DRW_curve_batch_cache_get_wireframes_face(Curve *cu) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - return DRW_batch_request(&cache->batch.surfaces_edges); + CurveBatchCache *cache = curve_batch_cache_get(cu); + return DRW_batch_request(&cache->batch.surfaces_edges); } GPUBatch *DRW_curve_batch_cache_get_edge_detection(Curve *cu, bool *r_is_manifold) { - CurveBatchCache *cache = curve_batch_cache_get(cu); - /* Even if is_manifold is not correct (not updated), - * the default (not manifold) is just the worst case. */ - if (r_is_manifold) { - *r_is_manifold = cache->is_manifold; - } - return DRW_batch_request(&cache->batch.edge_detection); + CurveBatchCache *cache = curve_batch_cache_get(cu); + /* Even if is_manifold is not correct (not updated), + * the default (not manifold) is just the worst case. */ + if (r_is_manifold) { + *r_is_manifold = cache->is_manifold; + } + return DRW_batch_request(&cache->batch.edge_detection); } /** \} */ @@ -904,156 +919,159 @@ GPUBatch *DRW_curve_batch_cache_get_edge_detection(Curve *cu, bool *r_is_manifol void DRW_curve_batch_cache_create_requested(Object *ob) { - BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF, OB_FONT)); - - Curve *cu = ob->data; - CurveBatchCache *cache = curve_batch_cache_get(cu); - - /* Verify that all surface batches have needed attribute layers. */ - /* TODO(fclem): We could be a bit smarter here and only do it per material. */ - for (int i = 0; i < cache->mat_len; ++i) { - if ((cache->cd_used & cache->cd_needed) != cache->cd_needed) { - /* We can't discard batches at this point as they have been - * referenced for drawing. Just clear them in place. */ - GPU_batch_clear(cache->surf_per_mat[i]); - memset(cache->surf_per_mat[i], 0, sizeof(*cache->surf_per_mat[i])); - } - } - if ((cache->cd_used & cache->cd_needed) != cache->cd_needed) { - cache->cd_used |= cache->cd_needed; - cache->cd_needed = 0; - } - - /* Init batches and request VBOs & IBOs */ - if (DRW_batch_requested(cache->batch.surfaces, GPU_PRIM_TRIS)) { - DRW_ibo_request(cache->batch.surfaces, &cache->ibo.surfaces_tris); - DRW_vbo_request(cache->batch.surfaces, &cache->ordered.pos_nor); - } - if (DRW_batch_requested(cache->batch.surfaces_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.surfaces_edges, &cache->ibo.surfaces_lines); - DRW_vbo_request(cache->batch.surfaces_edges, &cache->ordered.pos_nor); - DRW_vbo_request(cache->batch.surfaces_edges, &cache->ordered.edge_fac); - } - if (DRW_batch_requested(cache->batch.curves, GPU_PRIM_LINE_STRIP)) { - DRW_ibo_request(cache->batch.curves, &cache->ibo.curves_lines); - DRW_vbo_request(cache->batch.curves, &cache->ordered.curves_pos); - } - if (DRW_batch_requested(cache->batch.edge_detection, GPU_PRIM_LINES_ADJ)) { - DRW_ibo_request(cache->batch.edge_detection, &cache->ibo.edges_adj_lines); - DRW_vbo_request(cache->batch.edge_detection, &cache->ordered.pos_nor); - } - - /* Edit mode */ - if (DRW_batch_requested(cache->batch.edit_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.edit_edges, &cache->ibo.edit_lines); - DRW_vbo_request(cache->batch.edit_edges, &cache->edit.pos); - DRW_vbo_request(cache->batch.edit_edges, &cache->edit.data); - } - if (DRW_batch_requested(cache->batch.edit_verts, GPU_PRIM_POINTS)) { - DRW_ibo_request(cache->batch.edit_verts, &cache->ibo.edit_verts_points); - DRW_vbo_request(cache->batch.edit_verts, &cache->edit.pos); - DRW_vbo_request(cache->batch.edit_verts, &cache->edit.data); - } - if (DRW_batch_requested(cache->batch.edit_handles_verts, GPU_PRIM_POINTS)) { - DRW_vbo_request(cache->batch.edit_handles_verts, &cache->edit.pos); - DRW_vbo_request(cache->batch.edit_handles_verts, &cache->edit.data); - } - if (DRW_batch_requested(cache->batch.edit_normals, GPU_PRIM_LINES)) { - DRW_vbo_request(cache->batch.edit_normals, &cache->edit.curves_nor); - } - for (int i = 0; i < cache->mat_len; ++i) { - if (DRW_batch_requested(cache->surf_per_mat[i], GPU_PRIM_TRIS)) { - if (cache->mat_len > 1) { - DRW_ibo_request(cache->surf_per_mat[i], &cache->surf_per_mat_tris[i]); - } - if (cache->cd_used & CD_MLOOPUV) { - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_uv); - } - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_pos_nor); - } - } - - /* Generate MeshRenderData flags */ - int mr_flag = 0; - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.pos_nor, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.edge_fac, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.curves_pos, CU_DATATYPE_WIRE); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_pos_nor, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_uv, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.surfaces_tris, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.surfaces_lines, CU_DATATYPE_SURFACE); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.curves_lines, CU_DATATYPE_WIRE); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edges_adj_lines, CU_DATATYPE_SURFACE); - - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.pos, CU_DATATYPE_OVERLAY); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.data, CU_DATATYPE_OVERLAY); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.curves_nor, CU_DATATYPE_NORMAL); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.curves_weight, CU_DATATYPE_OVERLAY); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edit_verts_points, CU_DATATYPE_OVERLAY); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edit_lines, CU_DATATYPE_OVERLAY); - - for (int i = 0; i < cache->mat_len; ++i) { - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->surf_per_mat_tris[i], CU_DATATYPE_SURFACE); - } - - CurveRenderData *rdata = curve_render_data_create(cu, ob->runtime.curve_cache, mr_flag); - - /* DispLists */ - ListBase *lb = &rdata->ob_curve_cache->disp; - - /* Generate VBOs */ - if (DRW_vbo_requested(cache->ordered.pos_nor)) { - DRW_displist_vertbuf_create_pos_and_nor(lb, cache->ordered.pos_nor); - } - if (DRW_vbo_requested(cache->ordered.edge_fac)) { - DRW_displist_vertbuf_create_wiredata(lb, cache->ordered.edge_fac); - } - if (DRW_vbo_requested(cache->ordered.curves_pos)) { - curve_create_curves_pos(rdata, cache->ordered.curves_pos); - } - - if (DRW_vbo_requested(cache->ordered.loop_pos_nor) || - DRW_vbo_requested(cache->ordered.loop_uv)) - { - DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv(lb, cache->ordered.loop_pos_nor, cache->ordered.loop_uv); - } - - if (DRW_ibo_requested(cache->surf_per_mat_tris[0])) { - DRW_displist_indexbuf_create_triangles_loop_split_by_material(lb, cache->surf_per_mat_tris, cache->mat_len); - } - - if (DRW_ibo_requested(cache->ibo.curves_lines)) { - curve_create_curves_lines(rdata, cache->ibo.curves_lines); - } - if (DRW_ibo_requested(cache->ibo.surfaces_tris)) { - DRW_displist_indexbuf_create_triangles_in_order(lb, cache->ibo.surfaces_tris); - } - if (DRW_ibo_requested(cache->ibo.surfaces_lines)) { - DRW_displist_indexbuf_create_lines_in_order(lb, cache->ibo.surfaces_lines); - } - if (DRW_ibo_requested(cache->ibo.edges_adj_lines)) { - DRW_displist_indexbuf_create_edges_adjacency_lines(lb, cache->ibo.edges_adj_lines, &cache->is_manifold); - } - - if (DRW_vbo_requested(cache->edit.pos) || - DRW_vbo_requested(cache->edit.data) || - DRW_ibo_requested(cache->ibo.edit_verts_points) || - DRW_ibo_requested(cache->ibo.edit_lines)) - { - curve_create_edit_data_and_handles(rdata, cache->edit.pos, cache->edit.data, - cache->ibo.edit_verts_points, cache->ibo.edit_lines); - } - if (DRW_vbo_requested(cache->edit.curves_nor)) { - curve_create_edit_curves_nor(rdata, cache->edit.curves_nor); - } - - curve_render_data_free(rdata); + BLI_assert(ELEM(ob->type, OB_CURVE, OB_SURF, OB_FONT)); + + Curve *cu = ob->data; + CurveBatchCache *cache = curve_batch_cache_get(cu); + + /* Verify that all surface batches have needed attribute layers. */ + /* TODO(fclem): We could be a bit smarter here and only do it per material. */ + for (int i = 0; i < cache->mat_len; ++i) { + if ((cache->cd_used & cache->cd_needed) != cache->cd_needed) { + /* We can't discard batches at this point as they have been + * referenced for drawing. Just clear them in place. */ + GPU_batch_clear(cache->surf_per_mat[i]); + memset(cache->surf_per_mat[i], 0, sizeof(*cache->surf_per_mat[i])); + } + } + if ((cache->cd_used & cache->cd_needed) != cache->cd_needed) { + cache->cd_used |= cache->cd_needed; + cache->cd_needed = 0; + } + + /* Init batches and request VBOs & IBOs */ + if (DRW_batch_requested(cache->batch.surfaces, GPU_PRIM_TRIS)) { + DRW_ibo_request(cache->batch.surfaces, &cache->ibo.surfaces_tris); + DRW_vbo_request(cache->batch.surfaces, &cache->ordered.pos_nor); + } + if (DRW_batch_requested(cache->batch.surfaces_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.surfaces_edges, &cache->ibo.surfaces_lines); + DRW_vbo_request(cache->batch.surfaces_edges, &cache->ordered.pos_nor); + DRW_vbo_request(cache->batch.surfaces_edges, &cache->ordered.edge_fac); + } + if (DRW_batch_requested(cache->batch.curves, GPU_PRIM_LINE_STRIP)) { + DRW_ibo_request(cache->batch.curves, &cache->ibo.curves_lines); + DRW_vbo_request(cache->batch.curves, &cache->ordered.curves_pos); + } + if (DRW_batch_requested(cache->batch.edge_detection, GPU_PRIM_LINES_ADJ)) { + DRW_ibo_request(cache->batch.edge_detection, &cache->ibo.edges_adj_lines); + DRW_vbo_request(cache->batch.edge_detection, &cache->ordered.pos_nor); + } + + /* Edit mode */ + if (DRW_batch_requested(cache->batch.edit_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.edit_edges, &cache->ibo.edit_lines); + DRW_vbo_request(cache->batch.edit_edges, &cache->edit.pos); + DRW_vbo_request(cache->batch.edit_edges, &cache->edit.data); + } + if (DRW_batch_requested(cache->batch.edit_verts, GPU_PRIM_POINTS)) { + DRW_ibo_request(cache->batch.edit_verts, &cache->ibo.edit_verts_points); + DRW_vbo_request(cache->batch.edit_verts, &cache->edit.pos); + DRW_vbo_request(cache->batch.edit_verts, &cache->edit.data); + } + if (DRW_batch_requested(cache->batch.edit_handles_verts, GPU_PRIM_POINTS)) { + DRW_vbo_request(cache->batch.edit_handles_verts, &cache->edit.pos); + DRW_vbo_request(cache->batch.edit_handles_verts, &cache->edit.data); + } + if (DRW_batch_requested(cache->batch.edit_normals, GPU_PRIM_LINES)) { + DRW_vbo_request(cache->batch.edit_normals, &cache->edit.curves_nor); + } + for (int i = 0; i < cache->mat_len; ++i) { + if (DRW_batch_requested(cache->surf_per_mat[i], GPU_PRIM_TRIS)) { + if (cache->mat_len > 1) { + DRW_ibo_request(cache->surf_per_mat[i], &cache->surf_per_mat_tris[i]); + } + if (cache->cd_used & CD_MLOOPUV) { + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_uv); + } + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_pos_nor); + } + } + + /* Generate MeshRenderData flags */ + int mr_flag = 0; + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.pos_nor, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.edge_fac, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.curves_pos, CU_DATATYPE_WIRE); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_pos_nor, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_uv, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.surfaces_tris, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.surfaces_lines, CU_DATATYPE_SURFACE); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.curves_lines, CU_DATATYPE_WIRE); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edges_adj_lines, CU_DATATYPE_SURFACE); + + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.pos, CU_DATATYPE_OVERLAY); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.data, CU_DATATYPE_OVERLAY); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.curves_nor, CU_DATATYPE_NORMAL); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->edit.curves_weight, CU_DATATYPE_OVERLAY); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edit_verts_points, CU_DATATYPE_OVERLAY); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edit_lines, CU_DATATYPE_OVERLAY); + + for (int i = 0; i < cache->mat_len; ++i) { + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->surf_per_mat_tris[i], CU_DATATYPE_SURFACE); + } + + CurveRenderData *rdata = curve_render_data_create(cu, ob->runtime.curve_cache, mr_flag); + + /* DispLists */ + ListBase *lb = &rdata->ob_curve_cache->disp; + + /* Generate VBOs */ + if (DRW_vbo_requested(cache->ordered.pos_nor)) { + DRW_displist_vertbuf_create_pos_and_nor(lb, cache->ordered.pos_nor); + } + if (DRW_vbo_requested(cache->ordered.edge_fac)) { + DRW_displist_vertbuf_create_wiredata(lb, cache->ordered.edge_fac); + } + if (DRW_vbo_requested(cache->ordered.curves_pos)) { + curve_create_curves_pos(rdata, cache->ordered.curves_pos); + } + + if (DRW_vbo_requested(cache->ordered.loop_pos_nor) || + DRW_vbo_requested(cache->ordered.loop_uv)) { + DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv( + lb, cache->ordered.loop_pos_nor, cache->ordered.loop_uv); + } + + if (DRW_ibo_requested(cache->surf_per_mat_tris[0])) { + DRW_displist_indexbuf_create_triangles_loop_split_by_material( + lb, cache->surf_per_mat_tris, cache->mat_len); + } + + if (DRW_ibo_requested(cache->ibo.curves_lines)) { + curve_create_curves_lines(rdata, cache->ibo.curves_lines); + } + if (DRW_ibo_requested(cache->ibo.surfaces_tris)) { + DRW_displist_indexbuf_create_triangles_in_order(lb, cache->ibo.surfaces_tris); + } + if (DRW_ibo_requested(cache->ibo.surfaces_lines)) { + DRW_displist_indexbuf_create_lines_in_order(lb, cache->ibo.surfaces_lines); + } + if (DRW_ibo_requested(cache->ibo.edges_adj_lines)) { + DRW_displist_indexbuf_create_edges_adjacency_lines( + lb, cache->ibo.edges_adj_lines, &cache->is_manifold); + } + + if (DRW_vbo_requested(cache->edit.pos) || DRW_vbo_requested(cache->edit.data) || + DRW_ibo_requested(cache->ibo.edit_verts_points) || + DRW_ibo_requested(cache->ibo.edit_lines)) { + curve_create_edit_data_and_handles(rdata, + cache->edit.pos, + cache->edit.data, + cache->ibo.edit_verts_points, + cache->ibo.edit_lines); + } + if (DRW_vbo_requested(cache->edit.curves_nor)) { + curve_create_edit_curves_nor(rdata, cache->edit.curves_nor); + } + + curve_render_data_free(rdata); #ifdef DEBUG - /* Make sure all requested batches have been setup. */ - for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { - BLI_assert(!DRW_batch_requested(((GPUBatch **)&cache->batch)[i], 0)); - } + /* Make sure all requested batches have been setup. */ + for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { + BLI_assert(!DRW_batch_requested(((GPUBatch **)&cache->batch)[i], 0)); + } #endif } diff --git a/source/blender/draw/intern/draw_cache_impl_displist.c b/source/blender/draw/intern/draw_cache_impl_displist.c index 9dbf8af0372..ea394359b05 100644 --- a/source/blender/draw/intern/draw_cache_impl_displist.c +++ b/source/blender/draw/intern/draw_cache_impl_displist.c @@ -25,7 +25,6 @@ * \note DispList may be removed soon! This is a utility for object types that use render. */ - #include "BLI_alloca.h" #include "BLI_utildefines.h" #include "BLI_edgehash.h" @@ -38,621 +37,681 @@ #include "GPU_batch.h" #include "GPU_extensions.h" -#include "draw_cache_impl.h" /* own include */ +#include "draw_cache_impl.h" /* own include */ static int dl_vert_len(const DispList *dl) { - switch (dl->type) { - case DL_INDEX3: - case DL_INDEX4: - return dl->nr; - case DL_SURF: - return dl->parts * dl->nr; - } - return 0; + switch (dl->type) { + case DL_INDEX3: + case DL_INDEX4: + return dl->nr; + case DL_SURF: + return dl->parts * dl->nr; + } + return 0; } static int dl_tri_len(const DispList *dl) { - switch (dl->type) { - case DL_INDEX3: - return dl->parts; - case DL_INDEX4: - return dl->parts * 2; - case DL_SURF: - return dl->totindex * 2; - } - return 0; + switch (dl->type) { + case DL_INDEX3: + return dl->parts; + case DL_INDEX4: + return dl->parts * 2; + case DL_SURF: + return dl->totindex * 2; + } + return 0; } /* see: displist_get_allverts */ static int curve_render_surface_vert_len_get(const ListBase *lb) { - int vert_len = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - vert_len += dl_vert_len(dl); - } - return vert_len; + int vert_len = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + vert_len += dl_vert_len(dl); + } + return vert_len; } static int curve_render_surface_tri_len_get(const ListBase *lb) { - int tri_len = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - tri_len += dl_tri_len(dl); - } - return tri_len; + int tri_len = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + tri_len += dl_tri_len(dl); + } + return tri_len; } -typedef void (SetTriIndicesFn)(void *thunk, uint v1, uint v2, uint v3); +typedef void(SetTriIndicesFn)(void *thunk, uint v1, uint v2, uint v3); static void displist_indexbufbuilder_set( - SetTriIndicesFn *set_tri_indices, - SetTriIndicesFn *set_quad_tri_indices, /* meh, find a better solution. */ - void *thunk, const DispList *dl, const int ofs) + SetTriIndicesFn *set_tri_indices, + SetTriIndicesFn *set_quad_tri_indices, /* meh, find a better solution. */ + void *thunk, + const DispList *dl, + const int ofs) { - if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { - const int *idx = dl->index; - if (dl->type == DL_INDEX3) { - const int i_end = dl->parts; - for (int i = 0; i < i_end; i++, idx += 3) { - set_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[1] + ofs); - } - } - else if (dl->type == DL_SURF) { - const int i_end = dl->totindex; - for (int i = 0; i < i_end; i++, idx += 4) { - set_quad_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[1] + ofs); - set_quad_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[3] + ofs); - } - } - else { - BLI_assert(dl->type == DL_INDEX4); - const int i_end = dl->parts; - for (int i = 0; i < i_end; i++, idx += 4) { - if (idx[2] != idx[3]) { - set_quad_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[1] + ofs); - set_quad_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[3] + ofs); - } - else { - set_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[1] + ofs); - } - } - } - } + if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { + const int *idx = dl->index; + if (dl->type == DL_INDEX3) { + const int i_end = dl->parts; + for (int i = 0; i < i_end; i++, idx += 3) { + set_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[1] + ofs); + } + } + else if (dl->type == DL_SURF) { + const int i_end = dl->totindex; + for (int i = 0; i < i_end; i++, idx += 4) { + set_quad_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[1] + ofs); + set_quad_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[3] + ofs); + } + } + else { + BLI_assert(dl->type == DL_INDEX4); + const int i_end = dl->parts; + for (int i = 0; i < i_end; i++, idx += 4) { + if (idx[2] != idx[3]) { + set_quad_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[1] + ofs); + set_quad_tri_indices(thunk, idx[0] + ofs, idx[2] + ofs, idx[3] + ofs); + } + else { + set_tri_indices(thunk, idx[2] + ofs, idx[0] + ofs, idx[1] + ofs); + } + } + } + } } static int displist_indexbufbuilder_tess_set( - SetTriIndicesFn *set_tri_indices, - SetTriIndicesFn *set_quad_tri_indices, /* meh, find a better solution. */ - void *thunk, const DispList *dl, const int ofs) + SetTriIndicesFn *set_tri_indices, + SetTriIndicesFn *set_quad_tri_indices, /* meh, find a better solution. */ + void *thunk, + const DispList *dl, + const int ofs) { - int v_idx = ofs; - if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { - if (dl->type == DL_INDEX3) { - for (int i = 0; i < dl->parts; i++) { - set_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); - v_idx += 3; - } - } - else if (dl->type == DL_SURF) { - for (int a = 0; a < dl->parts; a++) { - if ((dl->flag & DL_CYCL_V) == 0 && a == dl->parts - 1) { - break; - } - int b = (dl->flag & DL_CYCL_U) ? 0 : 1; - for (; b < dl->nr; b++) { - set_quad_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); - set_quad_tri_indices(thunk, v_idx + 3, v_idx + 4, v_idx + 5); - v_idx += 6; - } - } - } - else { - BLI_assert(dl->type == DL_INDEX4); - const int *idx = dl->index; - for (int i = 0; i < dl->parts; i++, idx += 4) { - if (idx[2] != idx[3]) { - set_quad_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); - set_quad_tri_indices(thunk, v_idx + 3, v_idx + 4, v_idx + 5); - v_idx += 6; - } - else { - set_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); - v_idx += 3; - } - } - } - } - return v_idx; + int v_idx = ofs; + if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { + if (dl->type == DL_INDEX3) { + for (int i = 0; i < dl->parts; i++) { + set_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); + v_idx += 3; + } + } + else if (dl->type == DL_SURF) { + for (int a = 0; a < dl->parts; a++) { + if ((dl->flag & DL_CYCL_V) == 0 && a == dl->parts - 1) { + break; + } + int b = (dl->flag & DL_CYCL_U) ? 0 : 1; + for (; b < dl->nr; b++) { + set_quad_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); + set_quad_tri_indices(thunk, v_idx + 3, v_idx + 4, v_idx + 5); + v_idx += 6; + } + } + } + else { + BLI_assert(dl->type == DL_INDEX4); + const int *idx = dl->index; + for (int i = 0; i < dl->parts; i++, idx += 4) { + if (idx[2] != idx[3]) { + set_quad_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); + set_quad_tri_indices(thunk, v_idx + 3, v_idx + 4, v_idx + 5); + v_idx += 6; + } + else { + set_tri_indices(thunk, v_idx + 0, v_idx + 1, v_idx + 2); + v_idx += 3; + } + } + } + } + return v_idx; } void DRW_displist_vertbuf_create_pos_and_nor(ListBase *lb, GPUVertBuf *vbo) { - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor; } attr_id; - if (format.attr_len == 0) { - /* initialize vertex format */ - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, curve_render_surface_vert_len_get(lb)); - - BKE_displist_normals_add(lb); - - int vbo_len_used = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - const bool ndata_is_single = dl->type == DL_INDEX3; - if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { - const float *fp_co = dl->verts; - const float *fp_no = dl->nors; - const int vbo_end = vbo_len_used + dl_vert_len(dl); - while (vbo_len_used < vbo_end) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, vbo_len_used, fp_co); - if (fp_no) { - GPUPackedNormal vnor_pack = GPU_normal_convert_i10_v3(fp_no); - GPU_vertbuf_attr_set(vbo, attr_id.nor, vbo_len_used, &vnor_pack); - if (ndata_is_single == false) { - fp_no += 3; - } - } - fp_co += 3; - vbo_len_used += 1; - } - } - } + static GPUVertFormat format = {0}; + static struct { + uint pos, nor; + } attr_id; + if (format.attr_len == 0) { + /* initialize vertex format */ + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, curve_render_surface_vert_len_get(lb)); + + BKE_displist_normals_add(lb); + + int vbo_len_used = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + const bool ndata_is_single = dl->type == DL_INDEX3; + if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { + const float *fp_co = dl->verts; + const float *fp_no = dl->nors; + const int vbo_end = vbo_len_used + dl_vert_len(dl); + while (vbo_len_used < vbo_end) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, vbo_len_used, fp_co); + if (fp_no) { + GPUPackedNormal vnor_pack = GPU_normal_convert_i10_v3(fp_no); + GPU_vertbuf_attr_set(vbo, attr_id.nor, vbo_len_used, &vnor_pack); + if (ndata_is_single == false) { + fp_no += 3; + } + } + fp_co += 3; + vbo_len_used += 1; + } + } + } } void DRW_displist_vertbuf_create_wiredata(ListBase *lb, GPUVertBuf *vbo) { - static GPUVertFormat format = { 0 }; - static struct { uint wd; } attr_id; - if (format.attr_len == 0) { - /* initialize vertex format */ - if (!GPU_crappy_amd_driver()) { - /* Some AMD drivers strangely crash with a vbo with this format. */ - attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - else { - attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } - } - - int vbo_len_used = curve_render_surface_vert_len_get(lb); - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, vbo_len_used); - - if (vbo->format.stride == 1) { - memset(vbo->data, 0xFF, (size_t)vbo_len_used); - } - else { - GPUVertBufRaw wd_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.wd, &wd_step); - for (int i = 0; i < vbo_len_used; i++) { - *((float *)GPU_vertbuf_raw_step(&wd_step)) = 1.0f; - } - } + static GPUVertFormat format = {0}; + static struct { + uint wd; + } attr_id; + if (format.attr_len == 0) { + /* initialize vertex format */ + if (!GPU_crappy_amd_driver()) { + /* Some AMD drivers strangely crash with a vbo with this format. */ + attr_id.wd = GPU_vertformat_attr_add( + &format, "wd", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + else { + attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } + } + + int vbo_len_used = curve_render_surface_vert_len_get(lb); + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, vbo_len_used); + + if (vbo->format.stride == 1) { + memset(vbo->data, 0xFF, (size_t)vbo_len_used); + } + else { + GPUVertBufRaw wd_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.wd, &wd_step); + for (int i = 0; i < vbo_len_used; i++) { + *((float *)GPU_vertbuf_raw_step(&wd_step)) = 1.0f; + } + } } void DRW_displist_indexbuf_create_triangles_in_order(ListBase *lb, GPUIndexBuf *ibo) { - const int tri_len = curve_render_surface_tri_len_get(lb); - const int vert_len = curve_render_surface_vert_len_get(lb); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, vert_len); - - int ofs = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - displist_indexbufbuilder_set( - (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, - (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, - &elb, dl, ofs); - ofs += dl_vert_len(dl); - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int tri_len = curve_render_surface_tri_len_get(lb); + const int vert_len = curve_render_surface_vert_len_get(lb); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, vert_len); + + int ofs = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + displist_indexbufbuilder_set((SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, + (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, + &elb, + dl, + ofs); + ofs += dl_vert_len(dl); + } + + GPU_indexbuf_build_in_place(&elb, ibo); } -void DRW_displist_indexbuf_create_triangles_loop_split_by_material( - ListBase *lb, - GPUIndexBuf **ibo_mats, uint mat_len) +void DRW_displist_indexbuf_create_triangles_loop_split_by_material(ListBase *lb, + GPUIndexBuf **ibo_mats, + uint mat_len) { - GPUIndexBufBuilder *elb = BLI_array_alloca(elb, mat_len); - - const int tri_len = curve_render_surface_tri_len_get(lb); - - /* Init each index buffer builder */ - for (int i = 0; i < mat_len; i++) { - GPU_indexbuf_init(&elb[i], GPU_PRIM_TRIS, tri_len * 3, tri_len * 3); - } - - /* calc each index buffer builder */ - uint v_idx = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - v_idx = displist_indexbufbuilder_tess_set( - (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, - (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, - &elb[dl->col], dl, v_idx); - } - - /* build each indexbuf */ - for (int i = 0; i < mat_len; i++) { - GPU_indexbuf_build_in_place(&elb[i], ibo_mats[i]); - } + GPUIndexBufBuilder *elb = BLI_array_alloca(elb, mat_len); + + const int tri_len = curve_render_surface_tri_len_get(lb); + + /* Init each index buffer builder */ + for (int i = 0; i < mat_len; i++) { + GPU_indexbuf_init(&elb[i], GPU_PRIM_TRIS, tri_len * 3, tri_len * 3); + } + + /* calc each index buffer builder */ + uint v_idx = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + v_idx = displist_indexbufbuilder_tess_set((SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, + (SetTriIndicesFn *)GPU_indexbuf_add_tri_verts, + &elb[dl->col], + dl, + v_idx); + } + + /* build each indexbuf */ + for (int i = 0; i < mat_len; i++) { + GPU_indexbuf_build_in_place(&elb[i], ibo_mats[i]); + } } static void set_overlay_wires_tri_indices(void *thunk, uint v1, uint v2, uint v3) { - GPUIndexBufBuilder *eld = (GPUIndexBufBuilder *)thunk; - GPU_indexbuf_add_line_verts(eld, v1, v2); - GPU_indexbuf_add_line_verts(eld, v2, v3); - GPU_indexbuf_add_line_verts(eld, v3, v1); + GPUIndexBufBuilder *eld = (GPUIndexBufBuilder *)thunk; + GPU_indexbuf_add_line_verts(eld, v1, v2); + GPU_indexbuf_add_line_verts(eld, v2, v3); + GPU_indexbuf_add_line_verts(eld, v3, v1); } static void set_overlay_wires_quad_tri_indices(void *thunk, uint v1, uint v2, uint v3) { - GPUIndexBufBuilder *eld = (GPUIndexBufBuilder *)thunk; - GPU_indexbuf_add_line_verts(eld, v1, v3); - GPU_indexbuf_add_line_verts(eld, v3, v2); + GPUIndexBufBuilder *eld = (GPUIndexBufBuilder *)thunk; + GPU_indexbuf_add_line_verts(eld, v1, v3); + GPU_indexbuf_add_line_verts(eld, v3, v2); } void DRW_displist_indexbuf_create_lines_in_order(ListBase *lb, GPUIndexBuf *ibo) { - const int tri_len = curve_render_surface_tri_len_get(lb); - const int vert_len = curve_render_surface_vert_len_get(lb); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES, tri_len * 3, vert_len); - - int ofs = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - displist_indexbufbuilder_set( - set_overlay_wires_tri_indices, - set_overlay_wires_quad_tri_indices, - &elb, dl, ofs); - ofs += dl_vert_len(dl); - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int tri_len = curve_render_surface_tri_len_get(lb); + const int vert_len = curve_render_surface_vert_len_get(lb); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES, tri_len * 3, vert_len); + + int ofs = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + displist_indexbufbuilder_set( + set_overlay_wires_tri_indices, set_overlay_wires_quad_tri_indices, &elb, dl, ofs); + ofs += dl_vert_len(dl); + } + + GPU_indexbuf_build_in_place(&elb, ibo); } static void surf_uv_quad(const DispList *dl, const uint quad[4], float r_uv[4][2]) { - int orco_sizeu = dl->nr - 1; - int orco_sizev = dl->parts - 1; - - /* exception as handled in convertblender.c too */ - if (dl->flag & DL_CYCL_U) { - orco_sizeu++; - } - if (dl->flag & DL_CYCL_V) { - orco_sizev++; - } - - for (int i = 0; i < 4; i++) { - /* find uv based on vertex index into grid array */ - r_uv[i][0] = (quad[i] / dl->nr) / (float)orco_sizev; - r_uv[i][1] = (quad[i] % dl->nr) / (float)orco_sizeu; - - /* cyclic correction */ - if ((i == 1 || i == 2) && r_uv[i][0] == 0.0f) { - r_uv[i][0] = 1.0f; - } - if ((i == 0 || i == 1) && r_uv[i][1] == 0.0f) { - r_uv[i][1] = 1.0f; - } - } + int orco_sizeu = dl->nr - 1; + int orco_sizev = dl->parts - 1; + + /* exception as handled in convertblender.c too */ + if (dl->flag & DL_CYCL_U) { + orco_sizeu++; + } + if (dl->flag & DL_CYCL_V) { + orco_sizev++; + } + + for (int i = 0; i < 4; i++) { + /* find uv based on vertex index into grid array */ + r_uv[i][0] = (quad[i] / dl->nr) / (float)orco_sizev; + r_uv[i][1] = (quad[i] % dl->nr) / (float)orco_sizeu; + + /* cyclic correction */ + if ((i == 1 || i == 2) && r_uv[i][0] == 0.0f) { + r_uv[i][0] = 1.0f; + } + if ((i == 0 || i == 1) && r_uv[i][1] == 0.0f) { + r_uv[i][1] = 1.0f; + } + } } -static void displist_vertbuf_attr_set_tri_pos_nor_uv( - GPUVertBufRaw *pos_step, GPUVertBufRaw *nor_step, GPUVertBufRaw *uv_step, - const float v1[3], const float v2[3], const float v3[3], - const GPUPackedNormal *n1, const GPUPackedNormal *n2, const GPUPackedNormal *n3, - const float uv1[2], const float uv2[2], const float uv3[2]) +static void displist_vertbuf_attr_set_tri_pos_nor_uv(GPUVertBufRaw *pos_step, + GPUVertBufRaw *nor_step, + GPUVertBufRaw *uv_step, + const float v1[3], + const float v2[3], + const float v3[3], + const GPUPackedNormal *n1, + const GPUPackedNormal *n2, + const GPUPackedNormal *n3, + const float uv1[2], + const float uv2[2], + const float uv3[2]) { - if (pos_step->size != 0) { - copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v1); - copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v2); - copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v3); - - *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n1; - *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n2; - *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n3; - } - - if (uv_step->size != 0) { - normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv1); - normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv2); - normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv3); - } + if (pos_step->size != 0) { + copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v1); + copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v2); + copy_v3_v3(GPU_vertbuf_raw_step(pos_step), v3); + + *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n1; + *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n2; + *(GPUPackedNormal *)GPU_vertbuf_raw_step(nor_step) = *n3; + } + + if (uv_step->size != 0) { + normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv1); + normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv2); + normal_float_to_short_v2(GPU_vertbuf_raw_step(uv_step), uv3); + } } -void DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv( - ListBase *lb, - GPUVertBuf *vbo_pos_nor, GPUVertBuf *vbo_uv) +void DRW_displist_vertbuf_create_loop_pos_and_nor_and_uv(ListBase *lb, + GPUVertBuf *vbo_pos_nor, + GPUVertBuf *vbo_uv) { - static GPUVertFormat format_pos_nor = { 0 }; - static GPUVertFormat format_uv = { 0 }; - static struct { uint pos, nor, uv; } attr_id; - if (format_pos_nor.attr_len == 0) { - /* initialize vertex format */ - attr_id.pos = GPU_vertformat_attr_add(&format_pos_nor, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format_pos_nor, "nor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - GPU_vertformat_triple_load(&format_pos_nor); - /* UVs are in [0..1] range. We can compress them. */ - attr_id.uv = GPU_vertformat_attr_add(&format_uv, "u", GPU_COMP_I16, 2, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - int vbo_len_capacity = curve_render_surface_tri_len_get(lb) * 3; - - GPUVertBufRaw pos_step = {0}; - GPUVertBufRaw nor_step = {0}; - GPUVertBufRaw uv_step = {0}; - - if (DRW_TEST_ASSIGN_VBO(vbo_pos_nor)) { - GPU_vertbuf_init_with_format(vbo_pos_nor, &format_pos_nor); - GPU_vertbuf_data_alloc(vbo_pos_nor, vbo_len_capacity); - GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.pos, &pos_step); - GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.nor, &nor_step); - } - if (DRW_TEST_ASSIGN_VBO(vbo_uv)) { - GPU_vertbuf_init_with_format(vbo_uv, &format_uv); - GPU_vertbuf_data_alloc(vbo_uv, vbo_len_capacity); - GPU_vertbuf_attr_get_raw_data(vbo_uv, attr_id.uv, &uv_step); - } - - BKE_displist_normals_add(lb); - - for (const DispList *dl = lb->first; dl; dl = dl->next) { - const bool is_smooth = (dl->rt & CU_SMOOTH) != 0; - if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { - const float(*verts)[3] = (float(*)[3])dl->verts; - const float(*nors)[3] = (float(*)[3])dl->nors; - const int *idx = dl->index; - float uv[4][2]; - - if (dl->type == DL_INDEX3) { - /* Currently 'DL_INDEX3' is always a flat surface with a single normal. */ - const GPUPackedNormal pnor = GPU_normal_convert_i10_v3(dl->nors); - const float x_max = (float)(dl->nr - 1); - uv[0][1] = uv[1][1] = uv[2][1] = 0.0f; - const int i_end = dl->parts; - for (int i = 0; i < i_end; i++, idx += 3) { - if (vbo_uv) { - uv[0][0] = idx[0] / x_max; - uv[1][0] = idx[1] / x_max; - uv[2][0] = idx[2] / x_max; - } - - displist_vertbuf_attr_set_tri_pos_nor_uv( - &pos_step, &nor_step, &uv_step, - verts[idx[0]], verts[idx[2]], verts[idx[1]], - &pnor, &pnor, &pnor, - uv[0], uv[2], uv[1]); - } - } - else if (dl->type == DL_SURF) { - uint quad[4]; - for (int a = 0; a < dl->parts; a++) { - if ((dl->flag & DL_CYCL_V) == 0 && a == dl->parts - 1) { - break; - } - - int b; - if (dl->flag & DL_CYCL_U) { - quad[0] = dl->nr * a; - quad[3] = quad[0] + dl->nr - 1; - quad[1] = quad[0] + dl->nr; - quad[2] = quad[3] + dl->nr; - b = 0; - } - else { - quad[3] = dl->nr * a; - quad[0] = quad[3] + 1; - quad[2] = quad[3] + dl->nr; - quad[1] = quad[0] + dl->nr; - b = 1; - } - if ((dl->flag & DL_CYCL_V) && a == dl->parts - 1) { - quad[1] -= dl->parts * dl->nr; - quad[2] -= dl->parts * dl->nr; - } - - for (; b < dl->nr; b++) { - if (vbo_uv) { - surf_uv_quad(dl, quad, uv); - } - - GPUPackedNormal pnors_quad[4]; - if (is_smooth) { - for (int j = 0; j < 4; j++) { - pnors_quad[j] = GPU_normal_convert_i10_v3(nors[quad[j]]); - } - } - else { - float nor_flat[3]; - normal_quad_v3(nor_flat, verts[quad[0]], verts[quad[1]], verts[quad[2]], verts[quad[3]]); - pnors_quad[0] = GPU_normal_convert_i10_v3(nor_flat); - pnors_quad[1] = pnors_quad[0]; - pnors_quad[2] = pnors_quad[0]; - pnors_quad[3] = pnors_quad[0]; - } - - displist_vertbuf_attr_set_tri_pos_nor_uv( - &pos_step, &nor_step, &uv_step, - verts[quad[2]], verts[quad[0]], verts[quad[1]], - &pnors_quad[2], &pnors_quad[0], &pnors_quad[1], - uv[2], uv[0], uv[1]); - - displist_vertbuf_attr_set_tri_pos_nor_uv( - &pos_step, &nor_step, &uv_step, - verts[quad[0]], verts[quad[2]], verts[quad[3]], - &pnors_quad[0], &pnors_quad[2], &pnors_quad[3], - uv[0], uv[2], uv[3]); - - quad[2] = quad[1]; - quad[1]++; - quad[3] = quad[0]; - quad[0]++; - } - } - } - else { - BLI_assert(dl->type == DL_INDEX4); - uv[0][0] = uv[0][1] = uv[1][0] = uv[3][1] = 0.0f; - uv[1][1] = uv[2][0] = uv[2][1] = uv[3][0] = 1.0f; - - const int i_end = dl->parts; - for (int i = 0; i < i_end; i++, idx += 4) { - const bool is_tri = idx[2] != idx[3]; - - GPUPackedNormal pnors_idx[4]; - if (is_smooth) { - int idx_len = is_tri ? 3 : 4; - for (int j = 0; j < idx_len; j++) { - pnors_idx[j] = GPU_normal_convert_i10_v3(nors[idx[j]]); - } - } - else { - float nor_flat[3]; - if (is_tri) { - normal_tri_v3(nor_flat, verts[idx[0]], verts[idx[1]], verts[idx[2]]); - } - else { - normal_quad_v3(nor_flat, verts[idx[0]], verts[idx[1]], verts[idx[2]], verts[idx[3]]); - } - pnors_idx[0] = GPU_normal_convert_i10_v3(nor_flat); - pnors_idx[1] = pnors_idx[0]; - pnors_idx[2] = pnors_idx[0]; - pnors_idx[3] = pnors_idx[0]; - } - - displist_vertbuf_attr_set_tri_pos_nor_uv( - &pos_step, &nor_step, &uv_step, - verts[idx[0]], verts[idx[2]], verts[idx[1]], - &pnors_idx[0], &pnors_idx[2], &pnors_idx[1], - uv[0], uv[2], uv[1]); - - if (idx[2] != idx[3]) { - displist_vertbuf_attr_set_tri_pos_nor_uv( - &pos_step, &nor_step, &uv_step, - verts[idx[2]], verts[idx[0]], verts[idx[3]], - &pnors_idx[2], &pnors_idx[0], &pnors_idx[3], - uv[2], uv[0], uv[3]); - } - } - } - } - } - /* Resize and finish. */ - if (pos_step.size != 0) { - int vbo_len_used = GPU_vertbuf_raw_used(&pos_step); - if (vbo_len_used < vbo_len_capacity) { - GPU_vertbuf_data_resize(vbo_pos_nor, vbo_len_used); - } - } - if (uv_step.size != 0) { - int vbo_len_used = GPU_vertbuf_raw_used(&uv_step); - if (vbo_len_used < vbo_len_capacity) { - GPU_vertbuf_data_resize(vbo_uv, vbo_len_used); - } - } + static GPUVertFormat format_pos_nor = {0}; + static GPUVertFormat format_uv = {0}; + static struct { + uint pos, nor, uv; + } attr_id; + if (format_pos_nor.attr_len == 0) { + /* initialize vertex format */ + attr_id.pos = GPU_vertformat_attr_add( + &format_pos_nor, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format_pos_nor, "nor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + GPU_vertformat_triple_load(&format_pos_nor); + /* UVs are in [0..1] range. We can compress them. */ + attr_id.uv = GPU_vertformat_attr_add( + &format_uv, "u", GPU_COMP_I16, 2, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + int vbo_len_capacity = curve_render_surface_tri_len_get(lb) * 3; + + GPUVertBufRaw pos_step = {0}; + GPUVertBufRaw nor_step = {0}; + GPUVertBufRaw uv_step = {0}; + + if (DRW_TEST_ASSIGN_VBO(vbo_pos_nor)) { + GPU_vertbuf_init_with_format(vbo_pos_nor, &format_pos_nor); + GPU_vertbuf_data_alloc(vbo_pos_nor, vbo_len_capacity); + GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.pos, &pos_step); + GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.nor, &nor_step); + } + if (DRW_TEST_ASSIGN_VBO(vbo_uv)) { + GPU_vertbuf_init_with_format(vbo_uv, &format_uv); + GPU_vertbuf_data_alloc(vbo_uv, vbo_len_capacity); + GPU_vertbuf_attr_get_raw_data(vbo_uv, attr_id.uv, &uv_step); + } + + BKE_displist_normals_add(lb); + + for (const DispList *dl = lb->first; dl; dl = dl->next) { + const bool is_smooth = (dl->rt & CU_SMOOTH) != 0; + if (ELEM(dl->type, DL_INDEX3, DL_INDEX4, DL_SURF)) { + const float(*verts)[3] = (float(*)[3])dl->verts; + const float(*nors)[3] = (float(*)[3])dl->nors; + const int *idx = dl->index; + float uv[4][2]; + + if (dl->type == DL_INDEX3) { + /* Currently 'DL_INDEX3' is always a flat surface with a single normal. */ + const GPUPackedNormal pnor = GPU_normal_convert_i10_v3(dl->nors); + const float x_max = (float)(dl->nr - 1); + uv[0][1] = uv[1][1] = uv[2][1] = 0.0f; + const int i_end = dl->parts; + for (int i = 0; i < i_end; i++, idx += 3) { + if (vbo_uv) { + uv[0][0] = idx[0] / x_max; + uv[1][0] = idx[1] / x_max; + uv[2][0] = idx[2] / x_max; + } + + displist_vertbuf_attr_set_tri_pos_nor_uv(&pos_step, + &nor_step, + &uv_step, + verts[idx[0]], + verts[idx[2]], + verts[idx[1]], + &pnor, + &pnor, + &pnor, + uv[0], + uv[2], + uv[1]); + } + } + else if (dl->type == DL_SURF) { + uint quad[4]; + for (int a = 0; a < dl->parts; a++) { + if ((dl->flag & DL_CYCL_V) == 0 && a == dl->parts - 1) { + break; + } + + int b; + if (dl->flag & DL_CYCL_U) { + quad[0] = dl->nr * a; + quad[3] = quad[0] + dl->nr - 1; + quad[1] = quad[0] + dl->nr; + quad[2] = quad[3] + dl->nr; + b = 0; + } + else { + quad[3] = dl->nr * a; + quad[0] = quad[3] + 1; + quad[2] = quad[3] + dl->nr; + quad[1] = quad[0] + dl->nr; + b = 1; + } + if ((dl->flag & DL_CYCL_V) && a == dl->parts - 1) { + quad[1] -= dl->parts * dl->nr; + quad[2] -= dl->parts * dl->nr; + } + + for (; b < dl->nr; b++) { + if (vbo_uv) { + surf_uv_quad(dl, quad, uv); + } + + GPUPackedNormal pnors_quad[4]; + if (is_smooth) { + for (int j = 0; j < 4; j++) { + pnors_quad[j] = GPU_normal_convert_i10_v3(nors[quad[j]]); + } + } + else { + float nor_flat[3]; + normal_quad_v3( + nor_flat, verts[quad[0]], verts[quad[1]], verts[quad[2]], verts[quad[3]]); + pnors_quad[0] = GPU_normal_convert_i10_v3(nor_flat); + pnors_quad[1] = pnors_quad[0]; + pnors_quad[2] = pnors_quad[0]; + pnors_quad[3] = pnors_quad[0]; + } + + displist_vertbuf_attr_set_tri_pos_nor_uv(&pos_step, + &nor_step, + &uv_step, + verts[quad[2]], + verts[quad[0]], + verts[quad[1]], + &pnors_quad[2], + &pnors_quad[0], + &pnors_quad[1], + uv[2], + uv[0], + uv[1]); + + displist_vertbuf_attr_set_tri_pos_nor_uv(&pos_step, + &nor_step, + &uv_step, + verts[quad[0]], + verts[quad[2]], + verts[quad[3]], + &pnors_quad[0], + &pnors_quad[2], + &pnors_quad[3], + uv[0], + uv[2], + uv[3]); + + quad[2] = quad[1]; + quad[1]++; + quad[3] = quad[0]; + quad[0]++; + } + } + } + else { + BLI_assert(dl->type == DL_INDEX4); + uv[0][0] = uv[0][1] = uv[1][0] = uv[3][1] = 0.0f; + uv[1][1] = uv[2][0] = uv[2][1] = uv[3][0] = 1.0f; + + const int i_end = dl->parts; + for (int i = 0; i < i_end; i++, idx += 4) { + const bool is_tri = idx[2] != idx[3]; + + GPUPackedNormal pnors_idx[4]; + if (is_smooth) { + int idx_len = is_tri ? 3 : 4; + for (int j = 0; j < idx_len; j++) { + pnors_idx[j] = GPU_normal_convert_i10_v3(nors[idx[j]]); + } + } + else { + float nor_flat[3]; + if (is_tri) { + normal_tri_v3(nor_flat, verts[idx[0]], verts[idx[1]], verts[idx[2]]); + } + else { + normal_quad_v3(nor_flat, verts[idx[0]], verts[idx[1]], verts[idx[2]], verts[idx[3]]); + } + pnors_idx[0] = GPU_normal_convert_i10_v3(nor_flat); + pnors_idx[1] = pnors_idx[0]; + pnors_idx[2] = pnors_idx[0]; + pnors_idx[3] = pnors_idx[0]; + } + + displist_vertbuf_attr_set_tri_pos_nor_uv(&pos_step, + &nor_step, + &uv_step, + verts[idx[0]], + verts[idx[2]], + verts[idx[1]], + &pnors_idx[0], + &pnors_idx[2], + &pnors_idx[1], + uv[0], + uv[2], + uv[1]); + + if (idx[2] != idx[3]) { + displist_vertbuf_attr_set_tri_pos_nor_uv(&pos_step, + &nor_step, + &uv_step, + verts[idx[2]], + verts[idx[0]], + verts[idx[3]], + &pnors_idx[2], + &pnors_idx[0], + &pnors_idx[3], + uv[2], + uv[0], + uv[3]); + } + } + } + } + } + /* Resize and finish. */ + if (pos_step.size != 0) { + int vbo_len_used = GPU_vertbuf_raw_used(&pos_step); + if (vbo_len_used < vbo_len_capacity) { + GPU_vertbuf_data_resize(vbo_pos_nor, vbo_len_used); + } + } + if (uv_step.size != 0) { + int vbo_len_used = GPU_vertbuf_raw_used(&uv_step); + if (vbo_len_used < vbo_len_capacity) { + GPU_vertbuf_data_resize(vbo_uv, vbo_len_used); + } + } } /* Edge detection/adjecency */ #define NO_EDGE INT_MAX -static void set_edge_adjacency_lines_indices(EdgeHash *eh, GPUIndexBufBuilder *elb, bool *r_is_manifold, uint v1, uint v2, uint v3) +static void set_edge_adjacency_lines_indices( + EdgeHash *eh, GPUIndexBufBuilder *elb, bool *r_is_manifold, uint v1, uint v2, uint v3) { - bool inv_indices = (v2 > v3); - void **pval; - bool value_is_init = BLI_edgehash_ensure_p(eh, v2, v3, &pval); - int v_data = POINTER_AS_INT(*pval); - if (!value_is_init || v_data == NO_EDGE) { - /* Save the winding order inside the sign bit. Because the - * edgehash sort the keys and we need to compare winding later. */ - int value = (int)v1 + 1; /* Int 0 bm_looptricannot be signed */ - *pval = POINTER_FROM_INT((inv_indices) ? -value : value); - } - else { - /* HACK Tag as not used. Prevent overhead of BLI_edgehash_remove. */ - *pval = POINTER_FROM_INT(NO_EDGE); - bool inv_opposite = (v_data < 0); - uint v_opposite = (uint)abs(v_data) - 1; - - if (inv_opposite == inv_indices) { - /* Don't share edge if triangles have non matching winding. */ - GPU_indexbuf_add_line_adj_verts(elb, v1, v2, v3, v1); - GPU_indexbuf_add_line_adj_verts(elb, v_opposite, v2, v3, v_opposite); - *r_is_manifold = false; - } - else { - GPU_indexbuf_add_line_adj_verts(elb, v1, v2, v3, v_opposite); - } - } + bool inv_indices = (v2 > v3); + void **pval; + bool value_is_init = BLI_edgehash_ensure_p(eh, v2, v3, &pval); + int v_data = POINTER_AS_INT(*pval); + if (!value_is_init || v_data == NO_EDGE) { + /* Save the winding order inside the sign bit. Because the + * edgehash sort the keys and we need to compare winding later. */ + int value = (int)v1 + 1; /* Int 0 bm_looptricannot be signed */ + *pval = POINTER_FROM_INT((inv_indices) ? -value : value); + } + else { + /* HACK Tag as not used. Prevent overhead of BLI_edgehash_remove. */ + *pval = POINTER_FROM_INT(NO_EDGE); + bool inv_opposite = (v_data < 0); + uint v_opposite = (uint)abs(v_data) - 1; + + if (inv_opposite == inv_indices) { + /* Don't share edge if triangles have non matching winding. */ + GPU_indexbuf_add_line_adj_verts(elb, v1, v2, v3, v1); + GPU_indexbuf_add_line_adj_verts(elb, v_opposite, v2, v3, v_opposite); + *r_is_manifold = false; + } + else { + GPU_indexbuf_add_line_adj_verts(elb, v1, v2, v3, v_opposite); + } + } } static void set_edges_adjacency_lines_indices(void *thunk, uint v1, uint v2, uint v3) { - void **packed = (void **)thunk; - GPUIndexBufBuilder *elb = (GPUIndexBufBuilder *)packed[0]; - EdgeHash *eh = (EdgeHash *)packed[1]; - bool *r_is_manifold = (bool *)packed[2]; - - set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v1, v2, v3); - set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v2, v3, v1); - set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v3, v1, v2); + void **packed = (void **)thunk; + GPUIndexBufBuilder *elb = (GPUIndexBufBuilder *)packed[0]; + EdgeHash *eh = (EdgeHash *)packed[1]; + bool *r_is_manifold = (bool *)packed[2]; + + set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v1, v2, v3); + set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v2, v3, v1); + set_edge_adjacency_lines_indices(eh, elb, r_is_manifold, v3, v1, v2); } -void DRW_displist_indexbuf_create_edges_adjacency_lines(struct ListBase *lb, struct GPUIndexBuf *ibo, bool *r_is_manifold) +void DRW_displist_indexbuf_create_edges_adjacency_lines(struct ListBase *lb, + struct GPUIndexBuf *ibo, + bool *r_is_manifold) { - const int tri_len = curve_render_surface_tri_len_get(lb); - const int vert_len = curve_render_surface_vert_len_get(lb); - - *r_is_manifold = true; - - /* Allocate max but only used indices are sent to GPU. */ - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, tri_len * 3, vert_len); - - EdgeHash *eh = BLI_edgehash_new_ex(__func__, tri_len * 3); - - /* pack values to pass to `set_edges_adjacency_lines_indices` function. */ - void *thunk[3] = {&elb, eh, r_is_manifold}; - int v_idx = 0; - for (const DispList *dl = lb->first; dl; dl = dl->next) { - displist_indexbufbuilder_set( - (SetTriIndicesFn *)set_edges_adjacency_lines_indices, - (SetTriIndicesFn *)set_edges_adjacency_lines_indices, - thunk, dl, v_idx); - v_idx += dl_vert_len(dl); - } - - /* Create edges for remaning non manifold edges. */ - EdgeHashIterator *ehi; - for (ehi = BLI_edgehashIterator_new(eh); - BLI_edgehashIterator_isDone(ehi) == false; - BLI_edgehashIterator_step(ehi)) - { - uint v1, v2; - int v_data = POINTER_AS_INT(BLI_edgehashIterator_getValue(ehi)); - if (v_data == NO_EDGE) { - continue; - } - BLI_edgehashIterator_getKey(ehi, &v1, &v2); - uint v0 = (uint)abs(v_data) - 1; - if (v_data < 0) { /* inv_opposite */ - SWAP(uint, v1, v2); - } - GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); - *r_is_manifold = false; - } - BLI_edgehashIterator_free(ehi); - BLI_edgehash_free(eh, NULL); - - GPU_indexbuf_build_in_place(&elb, ibo); + const int tri_len = curve_render_surface_tri_len_get(lb); + const int vert_len = curve_render_surface_vert_len_get(lb); + + *r_is_manifold = true; + + /* Allocate max but only used indices are sent to GPU. */ + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, tri_len * 3, vert_len); + + EdgeHash *eh = BLI_edgehash_new_ex(__func__, tri_len * 3); + + /* pack values to pass to `set_edges_adjacency_lines_indices` function. */ + void *thunk[3] = {&elb, eh, r_is_manifold}; + int v_idx = 0; + for (const DispList *dl = lb->first; dl; dl = dl->next) { + displist_indexbufbuilder_set((SetTriIndicesFn *)set_edges_adjacency_lines_indices, + (SetTriIndicesFn *)set_edges_adjacency_lines_indices, + thunk, + dl, + v_idx); + v_idx += dl_vert_len(dl); + } + + /* Create edges for remaning non manifold edges. */ + EdgeHashIterator *ehi; + for (ehi = BLI_edgehashIterator_new(eh); BLI_edgehashIterator_isDone(ehi) == false; + BLI_edgehashIterator_step(ehi)) { + uint v1, v2; + int v_data = POINTER_AS_INT(BLI_edgehashIterator_getValue(ehi)); + if (v_data == NO_EDGE) { + continue; + } + BLI_edgehashIterator_getKey(ehi, &v1, &v2); + uint v0 = (uint)abs(v_data) - 1; + if (v_data < 0) { /* inv_opposite */ + SWAP(uint, v1, v2); + } + GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); + *r_is_manifold = false; + } + BLI_edgehashIterator_free(ehi); + BLI_edgehash_free(eh, NULL); + + GPU_indexbuf_build_in_place(&elb, ibo); } #undef NO_EDGE diff --git a/source/blender/draw/intern/draw_cache_impl_lattice.c b/source/blender/draw/intern/draw_cache_impl_lattice.c index 12763467f8c..b5223bc047c 100644 --- a/source/blender/draw/intern/draw_cache_impl_lattice.c +++ b/source/blender/draw/intern/draw_cache_impl_lattice.c @@ -39,9 +39,9 @@ #include "GPU_batch.h" -#include "draw_cache_impl.h" /* own include */ +#include "draw_cache_impl.h" /* own include */ -#define SELECT 1 +#define SELECT 1 /** * TODO @@ -56,519 +56,527 @@ static void lattice_batch_cache_clear(Lattice *lt); static int vert_len_calc(int u, int v, int w) { - if (u <= 0 || v <= 0 || w <= 0) { - return 0; - } - return u * v * w; + if (u <= 0 || v <= 0 || w <= 0) { + return 0; + } + return u * v * w; } static int edge_len_calc(int u, int v, int w) { - if (u <= 0 || v <= 0 || w <= 0) { - return 0; - } - return (((((u - 1) * v) + - ((v - 1) * u)) * w) + - ((w - 1) * (u * v))); + if (u <= 0 || v <= 0 || w <= 0) { + return 0; + } + return (((((u - 1) * v) + ((v - 1) * u)) * w) + ((w - 1) * (u * v))); } static int lattice_render_verts_len_get(Lattice *lt) { - if (lt->editlatt) { - lt = lt->editlatt->latt; - } - - const int u = lt->pntsu; - const int v = lt->pntsv; - const int w = lt->pntsw; - - if ((lt->flag & LT_OUTSIDE) == 0) { - return vert_len_calc(u, v, w); - } - else { - /* TODO remove internal coords */ - return vert_len_calc(u, v, w); - } + if (lt->editlatt) { + lt = lt->editlatt->latt; + } + + const int u = lt->pntsu; + const int v = lt->pntsv; + const int w = lt->pntsw; + + if ((lt->flag & LT_OUTSIDE) == 0) { + return vert_len_calc(u, v, w); + } + else { + /* TODO remove internal coords */ + return vert_len_calc(u, v, w); + } } static int lattice_render_edges_len_get(Lattice *lt) { - if (lt->editlatt) { - lt = lt->editlatt->latt; - } - - const int u = lt->pntsu; - const int v = lt->pntsv; - const int w = lt->pntsw; - - if ((lt->flag & LT_OUTSIDE) == 0) { - return edge_len_calc(u, v, w); - } - else { - /* TODO remove internal coords */ - return edge_len_calc(u, v, w); - } + if (lt->editlatt) { + lt = lt->editlatt->latt; + } + + const int u = lt->pntsu; + const int v = lt->pntsv; + const int w = lt->pntsw; + + if ((lt->flag & LT_OUTSIDE) == 0) { + return edge_len_calc(u, v, w); + } + else { + /* TODO remove internal coords */ + return edge_len_calc(u, v, w); + } } /* ---------------------------------------------------------------------- */ /* Lattice Interface, indirect, partially cached access to complex data. */ typedef struct LatticeRenderData { - int types; + int types; - int vert_len; - int edge_len; + int vert_len; + int edge_len; - struct { - int u_len, v_len, w_len; - } dims; - bool show_only_outside; + struct { + int u_len, v_len, w_len; + } dims; + bool show_only_outside; - struct EditLatt *edit_latt; - BPoint *bp; + struct EditLatt *edit_latt; + BPoint *bp; - int actbp; + int actbp; - struct MDeformVert *dvert; + struct MDeformVert *dvert; } LatticeRenderData; enum { - LR_DATATYPE_VERT = 1 << 0, - LR_DATATYPE_EDGE = 1 << 1, - LR_DATATYPE_OVERLAY = 1 << 2, + LR_DATATYPE_VERT = 1 << 0, + LR_DATATYPE_EDGE = 1 << 1, + LR_DATATYPE_OVERLAY = 1 << 2, }; static LatticeRenderData *lattice_render_data_create(Lattice *lt, const int types) { - LatticeRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); - rdata->types = types; - - if (lt->editlatt) { - EditLatt *editlatt = lt->editlatt; - lt = editlatt->latt; - - rdata->edit_latt = editlatt; - - rdata->dvert = lt->dvert; - - if (types & (LR_DATATYPE_VERT)) { - rdata->vert_len = lattice_render_verts_len_get(lt); - } - if (types & (LR_DATATYPE_EDGE)) { - rdata->edge_len = lattice_render_edges_len_get(lt); - } - if (types & LR_DATATYPE_OVERLAY) { - rdata->actbp = lt->actbp; - } - } - else { - rdata->dvert = NULL; - - if (types & (LR_DATATYPE_VERT)) { - rdata->vert_len = lattice_render_verts_len_get(lt); - } - if (types & (LR_DATATYPE_EDGE)) { - rdata->edge_len = lattice_render_edges_len_get(lt); - /*no edge data */ - } - } - - rdata->bp = lt->def; - - rdata->dims.u_len = lt->pntsu; - rdata->dims.v_len = lt->pntsv; - rdata->dims.w_len = lt->pntsw; - - rdata->show_only_outside = (lt->flag & LT_OUTSIDE) != 0; - rdata->actbp = lt->actbp; - - return rdata; + LatticeRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); + rdata->types = types; + + if (lt->editlatt) { + EditLatt *editlatt = lt->editlatt; + lt = editlatt->latt; + + rdata->edit_latt = editlatt; + + rdata->dvert = lt->dvert; + + if (types & (LR_DATATYPE_VERT)) { + rdata->vert_len = lattice_render_verts_len_get(lt); + } + if (types & (LR_DATATYPE_EDGE)) { + rdata->edge_len = lattice_render_edges_len_get(lt); + } + if (types & LR_DATATYPE_OVERLAY) { + rdata->actbp = lt->actbp; + } + } + else { + rdata->dvert = NULL; + + if (types & (LR_DATATYPE_VERT)) { + rdata->vert_len = lattice_render_verts_len_get(lt); + } + if (types & (LR_DATATYPE_EDGE)) { + rdata->edge_len = lattice_render_edges_len_get(lt); + /*no edge data */ + } + } + + rdata->bp = lt->def; + + rdata->dims.u_len = lt->pntsu; + rdata->dims.v_len = lt->pntsv; + rdata->dims.w_len = lt->pntsw; + + rdata->show_only_outside = (lt->flag & LT_OUTSIDE) != 0; + rdata->actbp = lt->actbp; + + return rdata; } static void lattice_render_data_free(LatticeRenderData *rdata) { #if 0 - if (rdata->loose_verts) { - MEM_freeN(rdata->loose_verts); - } + if (rdata->loose_verts) { + MEM_freeN(rdata->loose_verts); + } #endif - MEM_freeN(rdata); + MEM_freeN(rdata); } static int lattice_render_data_verts_len_get(const LatticeRenderData *rdata) { - BLI_assert(rdata->types & LR_DATATYPE_VERT); - return rdata->vert_len; + BLI_assert(rdata->types & LR_DATATYPE_VERT); + return rdata->vert_len; } static int lattice_render_data_edges_len_get(const LatticeRenderData *rdata) { - BLI_assert(rdata->types & LR_DATATYPE_EDGE); - return rdata->edge_len; + BLI_assert(rdata->types & LR_DATATYPE_EDGE); + return rdata->edge_len; } -static const BPoint *lattice_render_data_vert_bpoint(const LatticeRenderData *rdata, const int vert_idx) +static const BPoint *lattice_render_data_vert_bpoint(const LatticeRenderData *rdata, + const int vert_idx) { - BLI_assert(rdata->types & LR_DATATYPE_VERT); - return &rdata->bp[vert_idx]; + BLI_assert(rdata->types & LR_DATATYPE_VERT); + return &rdata->bp[vert_idx]; } /* TODO, move into shader? */ static void rgb_from_weight(float r_rgb[3], const float weight) { - const float blend = ((weight / 2.0f) + 0.5f); - - if (weight <= 0.25f) { /* blue->cyan */ - r_rgb[0] = 0.0f; - r_rgb[1] = blend * weight * 4.0f; - r_rgb[2] = blend; - } - else if (weight <= 0.50f) { /* cyan->green */ - r_rgb[0] = 0.0f; - r_rgb[1] = blend; - r_rgb[2] = blend * (1.0f - ((weight - 0.25f) * 4.0f)); - } - else if (weight <= 0.75f) { /* green->yellow */ - r_rgb[0] = blend * ((weight - 0.50f) * 4.0f); - r_rgb[1] = blend; - r_rgb[2] = 0.0f; - } - else if (weight <= 1.0f) { /* yellow->red */ - r_rgb[0] = blend; - r_rgb[1] = blend * (1.0f - ((weight - 0.75f) * 4.0f)); - r_rgb[2] = 0.0f; - } - else { - /* exceptional value, unclamped or nan, - * avoid uninitialized memory use */ - r_rgb[0] = 1.0f; - r_rgb[1] = 0.0f; - r_rgb[2] = 1.0f; - } + const float blend = ((weight / 2.0f) + 0.5f); + + if (weight <= 0.25f) { /* blue->cyan */ + r_rgb[0] = 0.0f; + r_rgb[1] = blend * weight * 4.0f; + r_rgb[2] = blend; + } + else if (weight <= 0.50f) { /* cyan->green */ + r_rgb[0] = 0.0f; + r_rgb[1] = blend; + r_rgb[2] = blend * (1.0f - ((weight - 0.25f) * 4.0f)); + } + else if (weight <= 0.75f) { /* green->yellow */ + r_rgb[0] = blend * ((weight - 0.50f) * 4.0f); + r_rgb[1] = blend; + r_rgb[2] = 0.0f; + } + else if (weight <= 1.0f) { /* yellow->red */ + r_rgb[0] = blend; + r_rgb[1] = blend * (1.0f - ((weight - 0.75f) * 4.0f)); + r_rgb[2] = 0.0f; + } + else { + /* exceptional value, unclamped or nan, + * avoid uninitialized memory use */ + r_rgb[0] = 1.0f; + r_rgb[1] = 0.0f; + r_rgb[2] = 1.0f; + } } -static void lattice_render_data_weight_col_get(const LatticeRenderData *rdata, const int vert_idx, - const int actdef, float r_col[4]) +static void lattice_render_data_weight_col_get(const LatticeRenderData *rdata, + const int vert_idx, + const int actdef, + float r_col[4]) { - if (actdef > -1) { - float weight = defvert_find_weight(rdata->dvert + vert_idx, actdef); - - if (U.flag & USER_CUSTOM_RANGE) { - BKE_colorband_evaluate(&U.coba_weight, weight, r_col); - } - else { - rgb_from_weight(r_col, weight); - } - - r_col[3] = 1.0f; - } - else { - zero_v4(r_col); - } + if (actdef > -1) { + float weight = defvert_find_weight(rdata->dvert + vert_idx, actdef); + + if (U.flag & USER_CUSTOM_RANGE) { + BKE_colorband_evaluate(&U.coba_weight, weight, r_col); + } + else { + rgb_from_weight(r_col, weight); + } + + r_col[3] = 1.0f; + } + else { + zero_v4(r_col); + } } /* ---------------------------------------------------------------------- */ /* Lattice GPUBatch Cache */ typedef struct LatticeBatchCache { - GPUVertBuf *pos; - GPUIndexBuf *edges; + GPUVertBuf *pos; + GPUIndexBuf *edges; - GPUBatch *all_verts; - GPUBatch *all_edges; + GPUBatch *all_verts; + GPUBatch *all_edges; - GPUBatch *overlay_verts; + GPUBatch *overlay_verts; - /* settings to determine if cache is invalid */ - bool is_dirty; + /* settings to determine if cache is invalid */ + bool is_dirty; - struct { - int u_len, v_len, w_len; - } dims; - bool show_only_outside; + struct { + int u_len, v_len, w_len; + } dims; + bool show_only_outside; - bool is_editmode; + bool is_editmode; } LatticeBatchCache; /* GPUBatch cache management. */ static bool lattice_batch_cache_valid(Lattice *lt) { - LatticeBatchCache *cache = lt->batch_cache; - - if (cache == NULL) { - return false; - } - - if (cache->is_editmode != (lt->editlatt != NULL)) { - return false; - } - - if (cache->is_dirty) { - return false; - } - else { - if ((cache->dims.u_len != lt->pntsu) || - (cache->dims.v_len != lt->pntsv) || - (cache->dims.w_len != lt->pntsw) || - ((cache->show_only_outside != ((lt->flag & LT_OUTSIDE) != 0)))) - { - return false; - } - } - - return true; + LatticeBatchCache *cache = lt->batch_cache; + + if (cache == NULL) { + return false; + } + + if (cache->is_editmode != (lt->editlatt != NULL)) { + return false; + } + + if (cache->is_dirty) { + return false; + } + else { + if ((cache->dims.u_len != lt->pntsu) || (cache->dims.v_len != lt->pntsv) || + (cache->dims.w_len != lt->pntsw) || + ((cache->show_only_outside != ((lt->flag & LT_OUTSIDE) != 0)))) { + return false; + } + } + + return true; } static void lattice_batch_cache_init(Lattice *lt) { - LatticeBatchCache *cache = lt->batch_cache; + LatticeBatchCache *cache = lt->batch_cache; - if (!cache) { - cache = lt->batch_cache = MEM_callocN(sizeof(*cache), __func__); - } - else { - memset(cache, 0, sizeof(*cache)); - } + if (!cache) { + cache = lt->batch_cache = MEM_callocN(sizeof(*cache), __func__); + } + else { + memset(cache, 0, sizeof(*cache)); + } - cache->dims.u_len = lt->pntsu; - cache->dims.v_len = lt->pntsv; - cache->dims.w_len = lt->pntsw; - cache->show_only_outside = (lt->flag & LT_OUTSIDE) != 0; + cache->dims.u_len = lt->pntsu; + cache->dims.v_len = lt->pntsv; + cache->dims.w_len = lt->pntsw; + cache->show_only_outside = (lt->flag & LT_OUTSIDE) != 0; - cache->is_editmode = lt->editlatt != NULL; + cache->is_editmode = lt->editlatt != NULL; - cache->is_dirty = false; + cache->is_dirty = false; } static LatticeBatchCache *lattice_batch_cache_get(Lattice *lt) { - if (!lattice_batch_cache_valid(lt)) { - lattice_batch_cache_clear(lt); - lattice_batch_cache_init(lt); - } - return lt->batch_cache; + if (!lattice_batch_cache_valid(lt)) { + lattice_batch_cache_clear(lt); + lattice_batch_cache_init(lt); + } + return lt->batch_cache; } void DRW_lattice_batch_cache_dirty_tag(Lattice *lt, int mode) { - LatticeBatchCache *cache = lt->batch_cache; - if (cache == NULL) { - return; - } - switch (mode) { - case BKE_LATTICE_BATCH_DIRTY_ALL: - cache->is_dirty = true; - break; - case BKE_LATTICE_BATCH_DIRTY_SELECT: - /* TODO Separate Flag vbo */ - GPU_BATCH_DISCARD_SAFE(cache->overlay_verts); - break; - default: - BLI_assert(0); - } + LatticeBatchCache *cache = lt->batch_cache; + if (cache == NULL) { + return; + } + switch (mode) { + case BKE_LATTICE_BATCH_DIRTY_ALL: + cache->is_dirty = true; + break; + case BKE_LATTICE_BATCH_DIRTY_SELECT: + /* TODO Separate Flag vbo */ + GPU_BATCH_DISCARD_SAFE(cache->overlay_verts); + break; + default: + BLI_assert(0); + } } static void lattice_batch_cache_clear(Lattice *lt) { - LatticeBatchCache *cache = lt->batch_cache; - if (!cache) { - return; - } + LatticeBatchCache *cache = lt->batch_cache; + if (!cache) { + return; + } - GPU_BATCH_DISCARD_SAFE(cache->all_verts); - GPU_BATCH_DISCARD_SAFE(cache->all_edges); - GPU_BATCH_DISCARD_SAFE(cache->overlay_verts); + GPU_BATCH_DISCARD_SAFE(cache->all_verts); + GPU_BATCH_DISCARD_SAFE(cache->all_edges); + GPU_BATCH_DISCARD_SAFE(cache->overlay_verts); - GPU_VERTBUF_DISCARD_SAFE(cache->pos); - GPU_INDEXBUF_DISCARD_SAFE(cache->edges); + GPU_VERTBUF_DISCARD_SAFE(cache->pos); + GPU_INDEXBUF_DISCARD_SAFE(cache->edges); } void DRW_lattice_batch_cache_free(Lattice *lt) { - lattice_batch_cache_clear(lt); - MEM_SAFE_FREE(lt->batch_cache); + lattice_batch_cache_clear(lt); + MEM_SAFE_FREE(lt->batch_cache); } /* GPUBatch cache usage. */ -static GPUVertBuf *lattice_batch_cache_get_pos(LatticeRenderData *rdata, LatticeBatchCache *cache, - bool use_weight, const int actdef) +static GPUVertBuf *lattice_batch_cache_get_pos(LatticeRenderData *rdata, + LatticeBatchCache *cache, + bool use_weight, + const int actdef) { - BLI_assert(rdata->types & LR_DATATYPE_VERT); + BLI_assert(rdata->types & LR_DATATYPE_VERT); - if (cache->pos == NULL) { - static GPUVertFormat format = { 0 }; - static struct { uint pos, col; } attr_id; + if (cache->pos == NULL) { + static GPUVertFormat format = {0}; + static struct { + uint pos, col; + } attr_id; - GPU_vertformat_clear(&format); + GPU_vertformat_clear(&format); - /* initialize vertex format */ - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + /* initialize vertex format */ + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - if (use_weight) { - attr_id.col = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - } + if (use_weight) { + attr_id.col = GPU_vertformat_attr_add(&format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + } - const int vert_len = lattice_render_data_verts_len_get(rdata); + const int vert_len = lattice_render_data_verts_len_get(rdata); - cache->pos = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(cache->pos, vert_len); - for (int i = 0; i < vert_len; ++i) { - const BPoint *bp = lattice_render_data_vert_bpoint(rdata, i); - GPU_vertbuf_attr_set(cache->pos, attr_id.pos, i, bp->vec); + cache->pos = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(cache->pos, vert_len); + for (int i = 0; i < vert_len; ++i) { + const BPoint *bp = lattice_render_data_vert_bpoint(rdata, i); + GPU_vertbuf_attr_set(cache->pos, attr_id.pos, i, bp->vec); - if (use_weight) { - float w_col[4]; - lattice_render_data_weight_col_get(rdata, i, actdef, w_col); - w_col[3] = 1.0f; + if (use_weight) { + float w_col[4]; + lattice_render_data_weight_col_get(rdata, i, actdef, w_col); + w_col[3] = 1.0f; - GPU_vertbuf_attr_set(cache->pos, attr_id.col, i, w_col); - } - } - } + GPU_vertbuf_attr_set(cache->pos, attr_id.col, i, w_col); + } + } + } - return cache->pos; + return cache->pos; } -static GPUIndexBuf *lattice_batch_cache_get_edges(LatticeRenderData *rdata, LatticeBatchCache *cache) +static GPUIndexBuf *lattice_batch_cache_get_edges(LatticeRenderData *rdata, + LatticeBatchCache *cache) { - BLI_assert(rdata->types & (LR_DATATYPE_VERT | LR_DATATYPE_EDGE)); - - if (cache->edges == NULL) { - const int vert_len = lattice_render_data_verts_len_get(rdata); - const int edge_len = lattice_render_data_edges_len_get(rdata); - int edge_len_real = 0; - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, vert_len); - -#define LATT_INDEX(u, v, w) \ - ((((w) * rdata->dims.v_len + (v)) * rdata->dims.u_len) + (u)) - - for (int w = 0; w < rdata->dims.w_len; w++) { - int wxt = (w == 0 || w == rdata->dims.w_len - 1); - for (int v = 0; v < rdata->dims.v_len; v++) { - int vxt = (v == 0 || v == rdata->dims.v_len - 1); - for (int u = 0; u < rdata->dims.u_len; u++) { - int uxt = (u == 0 || u == rdata->dims.u_len - 1); - - if (w && ((uxt || vxt) || !rdata->show_only_outside)) { - GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u, v, w - 1), LATT_INDEX(u, v, w)); - BLI_assert(edge_len_real <= edge_len); - edge_len_real++; - } - if (v && ((uxt || wxt) || !rdata->show_only_outside)) { - GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u, v - 1, w), LATT_INDEX(u, v, w)); - BLI_assert(edge_len_real <= edge_len); - edge_len_real++; - } - if (u && ((vxt || wxt) || !rdata->show_only_outside)) { - GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u - 1, v, w), LATT_INDEX(u, v, w)); - BLI_assert(edge_len_real <= edge_len); - edge_len_real++; - } - } - } - } + BLI_assert(rdata->types & (LR_DATATYPE_VERT | LR_DATATYPE_EDGE)); + + if (cache->edges == NULL) { + const int vert_len = lattice_render_data_verts_len_get(rdata); + const int edge_len = lattice_render_data_edges_len_get(rdata); + int edge_len_real = 0; + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, vert_len); + +#define LATT_INDEX(u, v, w) ((((w)*rdata->dims.v_len + (v)) * rdata->dims.u_len) + (u)) + + for (int w = 0; w < rdata->dims.w_len; w++) { + int wxt = (w == 0 || w == rdata->dims.w_len - 1); + for (int v = 0; v < rdata->dims.v_len; v++) { + int vxt = (v == 0 || v == rdata->dims.v_len - 1); + for (int u = 0; u < rdata->dims.u_len; u++) { + int uxt = (u == 0 || u == rdata->dims.u_len - 1); + + if (w && ((uxt || vxt) || !rdata->show_only_outside)) { + GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u, v, w - 1), LATT_INDEX(u, v, w)); + BLI_assert(edge_len_real <= edge_len); + edge_len_real++; + } + if (v && ((uxt || wxt) || !rdata->show_only_outside)) { + GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u, v - 1, w), LATT_INDEX(u, v, w)); + BLI_assert(edge_len_real <= edge_len); + edge_len_real++; + } + if (u && ((vxt || wxt) || !rdata->show_only_outside)) { + GPU_indexbuf_add_line_verts(&elb, LATT_INDEX(u - 1, v, w), LATT_INDEX(u, v, w)); + BLI_assert(edge_len_real <= edge_len); + edge_len_real++; + } + } + } + } #undef LATT_INDEX - if (rdata->show_only_outside) { - BLI_assert(edge_len_real <= edge_len); - } - else { - BLI_assert(edge_len_real == edge_len); - } + if (rdata->show_only_outside) { + BLI_assert(edge_len_real <= edge_len); + } + else { + BLI_assert(edge_len_real == edge_len); + } - cache->edges = GPU_indexbuf_build(&elb); - } + cache->edges = GPU_indexbuf_build(&elb); + } - return cache->edges; + return cache->edges; } static void lattice_batch_cache_create_overlay_batches(Lattice *lt) { - /* Since LR_DATATYPE_OVERLAY is slow to generate, generate them all at once */ - int options = LR_DATATYPE_VERT | LR_DATATYPE_OVERLAY; - - LatticeBatchCache *cache = lattice_batch_cache_get(lt); - LatticeRenderData *rdata = lattice_render_data_create(lt, options); - - if (cache->overlay_verts == NULL) { - static GPUVertFormat format = { 0 }; - static struct { uint pos, data; } attr_id; - if (format.attr_len == 0) { - /* initialize vertex format */ - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.data = GPU_vertformat_attr_add(&format, "data", GPU_COMP_U8, 1, GPU_FETCH_INT); - } - - const int vert_len = lattice_render_data_verts_len_get(rdata); - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, vert_len); - for (int i = 0; i < vert_len; ++i) { - const BPoint *bp = lattice_render_data_vert_bpoint(rdata, i); - - char vflag = 0; - if (bp->f1 & SELECT) { - if (i == rdata->actbp) { - vflag |= VFLAG_VERT_ACTIVE; - } - else { - vflag |= VFLAG_VERT_SELECTED; - } - } - - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, bp->vec); - GPU_vertbuf_attr_set(vbo, attr_id.data, i, &vflag); - } - - cache->overlay_verts = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); - } - - lattice_render_data_free(rdata); + /* Since LR_DATATYPE_OVERLAY is slow to generate, generate them all at once */ + int options = LR_DATATYPE_VERT | LR_DATATYPE_OVERLAY; + + LatticeBatchCache *cache = lattice_batch_cache_get(lt); + LatticeRenderData *rdata = lattice_render_data_create(lt, options); + + if (cache->overlay_verts == NULL) { + static GPUVertFormat format = {0}; + static struct { + uint pos, data; + } attr_id; + if (format.attr_len == 0) { + /* initialize vertex format */ + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.data = GPU_vertformat_attr_add(&format, "data", GPU_COMP_U8, 1, GPU_FETCH_INT); + } + + const int vert_len = lattice_render_data_verts_len_get(rdata); + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, vert_len); + for (int i = 0; i < vert_len; ++i) { + const BPoint *bp = lattice_render_data_vert_bpoint(rdata, i); + + char vflag = 0; + if (bp->f1 & SELECT) { + if (i == rdata->actbp) { + vflag |= VFLAG_VERT_ACTIVE; + } + else { + vflag |= VFLAG_VERT_SELECTED; + } + } + + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, bp->vec); + GPU_vertbuf_attr_set(vbo, attr_id.data, i, &vflag); + } + + cache->overlay_verts = GPU_batch_create_ex(GPU_PRIM_POINTS, vbo, NULL, GPU_BATCH_OWNS_VBO); + } + + lattice_render_data_free(rdata); } GPUBatch *DRW_lattice_batch_cache_get_all_edges(Lattice *lt, bool use_weight, const int actdef) { - LatticeBatchCache *cache = lattice_batch_cache_get(lt); + LatticeBatchCache *cache = lattice_batch_cache_get(lt); - if (cache->all_edges == NULL) { - /* create batch from Lattice */ - LatticeRenderData *rdata = lattice_render_data_create(lt, LR_DATATYPE_VERT | LR_DATATYPE_EDGE); + if (cache->all_edges == NULL) { + /* create batch from Lattice */ + LatticeRenderData *rdata = lattice_render_data_create(lt, LR_DATATYPE_VERT | LR_DATATYPE_EDGE); - cache->all_edges = GPU_batch_create(GPU_PRIM_LINES, lattice_batch_cache_get_pos(rdata, cache, use_weight, actdef), - lattice_batch_cache_get_edges(rdata, cache)); + cache->all_edges = GPU_batch_create( + GPU_PRIM_LINES, + lattice_batch_cache_get_pos(rdata, cache, use_weight, actdef), + lattice_batch_cache_get_edges(rdata, cache)); - lattice_render_data_free(rdata); - } + lattice_render_data_free(rdata); + } - return cache->all_edges; + return cache->all_edges; } GPUBatch *DRW_lattice_batch_cache_get_all_verts(Lattice *lt) { - LatticeBatchCache *cache = lattice_batch_cache_get(lt); + LatticeBatchCache *cache = lattice_batch_cache_get(lt); - if (cache->all_verts == NULL) { - LatticeRenderData *rdata = lattice_render_data_create(lt, LR_DATATYPE_VERT); + if (cache->all_verts == NULL) { + LatticeRenderData *rdata = lattice_render_data_create(lt, LR_DATATYPE_VERT); - cache->all_verts = GPU_batch_create(GPU_PRIM_POINTS, lattice_batch_cache_get_pos(rdata, cache, false, -1), NULL); + cache->all_verts = GPU_batch_create( + GPU_PRIM_POINTS, lattice_batch_cache_get_pos(rdata, cache, false, -1), NULL); - lattice_render_data_free(rdata); - } + lattice_render_data_free(rdata); + } - return cache->all_verts; + return cache->all_verts; } GPUBatch *DRW_lattice_batch_cache_get_edit_verts(Lattice *lt) { - LatticeBatchCache *cache = lattice_batch_cache_get(lt); + LatticeBatchCache *cache = lattice_batch_cache_get(lt); - if (cache->overlay_verts == NULL) { - lattice_batch_cache_create_overlay_batches(lt); - } + if (cache->overlay_verts == NULL) { + lattice_batch_cache_create_overlay_batches(lt); + } - return cache->overlay_verts; + return cache->overlay_verts; } diff --git a/source/blender/draw/intern/draw_cache_impl_mesh.c b/source/blender/draw/intern/draw_cache_impl_mesh.c index e35a191cad5..ded9d0963b7 100644 --- a/source/blender/draw/intern/draw_cache_impl_mesh.c +++ b/source/blender/draw/intern/draw_cache_impl_mesh.c @@ -61,36 +61,35 @@ #include "ED_mesh.h" #include "ED_uvedit.h" -#include "draw_cache_impl.h" /* own include */ - +#include "draw_cache_impl.h" /* own include */ static void mesh_batch_cache_clear(Mesh *me); /* Vertex Group Selection and display options */ typedef struct DRW_MeshWeightState { - int defgroup_active; - int defgroup_len; + int defgroup_active; + int defgroup_len; - short flags; - char alert_mode; + short flags; + char alert_mode; - /* Set of all selected bones for Multipaint. */ - bool *defgroup_sel; /* [defgroup_len] */ - int defgroup_sel_count; + /* Set of all selected bones for Multipaint. */ + bool *defgroup_sel; /* [defgroup_len] */ + int defgroup_sel_count; } DRW_MeshWeightState; typedef struct DRW_MeshCDMask { - uint32_t uv : 8; - uint32_t tan : 8; - uint32_t vcol : 8; - uint32_t orco : 1; - uint32_t tan_orco : 1; + uint32_t uv : 8; + uint32_t tan : 8; + uint32_t vcol : 8; + uint32_t orco : 1; + uint32_t tan_orco : 1; } DRW_MeshCDMask; /* DRW_MeshWeightState.flags */ enum { - DRW_MESH_WEIGHT_STATE_MULTIPAINT = (1 << 0), - DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE = (1 << 1), + DRW_MESH_WEIGHT_STATE_MULTIPAINT = (1 << 0), + DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE = (1 << 1), }; /* ---------------------------------------------------------------------- */ @@ -103,26 +102,26 @@ enum { */ BLI_INLINE BMLoop *bm_vert_find_first_loop_visible_inline(BMVert *v) { - if (v->e) { - BMLoop *l = v->e->l; - if (l && !BM_elem_flag_test(l->f, BM_ELEM_HIDDEN)) { - return l->v == v ? l : l->next; - } - return BM_vert_find_first_loop_visible(v); - } - return NULL; + if (v->e) { + BMLoop *l = v->e->l; + if (l && !BM_elem_flag_test(l->f, BM_ELEM_HIDDEN)) { + return l->v == v ? l : l->next; + } + return BM_vert_find_first_loop_visible(v); + } + return NULL; } BLI_INLINE BMLoop *bm_edge_find_first_loop_visible_inline(BMEdge *e) { - if (e->l) { - BMLoop *l = e->l; - if (!BM_elem_flag_test(l->f, BM_ELEM_HIDDEN)) { - return l; - } - return BM_edge_find_first_loop_visible(e); - } - return NULL; + if (e->l) { + BMLoop *l = e->l; + if (!BM_elem_flag_test(l->f, BM_ELEM_HIDDEN)) { + return l; + } + return BM_edge_find_first_loop_visible(e); + } + return NULL; } /** \} */ @@ -133,192 +132,191 @@ BLI_INLINE BMLoop *bm_edge_find_first_loop_visible_inline(BMEdge *e) static int mesh_render_verts_len_get(Mesh *me) { - return me->edit_mesh ? me->edit_mesh->bm->totvert : me->totvert; + return me->edit_mesh ? me->edit_mesh->bm->totvert : me->totvert; } static int mesh_render_edges_len_get(Mesh *me) { - return me->edit_mesh ? me->edit_mesh->bm->totedge : me->totedge; + return me->edit_mesh ? me->edit_mesh->bm->totedge : me->totedge; } static int mesh_render_looptri_len_get(Mesh *me) { - return me->edit_mesh ? me->edit_mesh->tottri : poly_to_tri_count(me->totpoly, me->totloop); + return me->edit_mesh ? me->edit_mesh->tottri : poly_to_tri_count(me->totpoly, me->totloop); } static int mesh_render_polys_len_get(Mesh *me) { - return me->edit_mesh ? me->edit_mesh->bm->totface : me->totpoly; + return me->edit_mesh ? me->edit_mesh->bm->totface : me->totpoly; } static int mesh_render_mat_len_get(Mesh *me) { - return MAX2(1, me->totcol); + return MAX2(1, me->totcol); } static int UNUSED_FUNCTION(mesh_render_loops_len_get)(Mesh *me) { - return me->edit_mesh ? me->edit_mesh->bm->totloop : me->totloop; + return me->edit_mesh ? me->edit_mesh->bm->totloop : me->totloop; } /** \} */ - /* ---------------------------------------------------------------------- */ /** \name Mesh/BMesh Interface (indirect, partially cached access to complex data). * \{ */ typedef struct EdgeAdjacentPolys { - int count; - int face_index[2]; + int count; + int face_index[2]; } EdgeAdjacentPolys; typedef struct EdgeAdjacentVerts { - int vert_index[2]; /* -1 if none */ + int vert_index[2]; /* -1 if none */ } EdgeAdjacentVerts; typedef struct EdgeDrawAttr { - uchar v_flag; - uchar e_flag; - uchar crease; - uchar bweight; + uchar v_flag; + uchar e_flag; + uchar crease; + uchar bweight; } EdgeDrawAttr; typedef struct MeshRenderData { - int types; - - int vert_len; - int edge_len; - int tri_len; - int loop_len; - int poly_len; - int mat_len; - int loose_vert_len; - int loose_edge_len; - - /* Support for mapped mesh data. */ - struct { - /* Must be set if we want to get mapped data. */ - bool use; - bool supported; - - Mesh *me_cage; - - int vert_len; - int edge_len; - int tri_len; - int loop_len; - int poly_len; - - int *loose_verts; - int loose_vert_len; - - int *loose_edges; - int loose_edge_len; - - /* origindex layers */ - int *v_origindex; - int *e_origindex; - int *l_origindex; - int *p_origindex; - } mapped; - - BMEditMesh *edit_bmesh; - struct EditMeshData *edit_data; - const ToolSettings *toolsettings; - - Mesh *me; - - MVert *mvert; - const MEdge *medge; - const MLoop *mloop; - const MPoly *mpoly; - float (*orco)[3]; /* vertex coordinates normalized to bounding box */ - bool is_orco_allocated; - MDeformVert *dvert; - MLoopUV *mloopuv; - MLoopCol *mloopcol; - float (*loop_normals)[3]; - - /* CustomData 'cd' cache for efficient access. */ - struct { - struct { - MLoopUV **uv; - int uv_len; - int uv_active; - int uv_mask_active; - - MLoopCol **vcol; - int vcol_len; - int vcol_active; - - float (**tangent)[4]; - int tangent_len; - int tangent_active; - - bool *auto_vcol; - } layers; - - /* Custom-data offsets (only needed for BMesh access) */ - struct { - int crease; - int bweight; - int *uv; - int *vcol; + int types; + + int vert_len; + int edge_len; + int tri_len; + int loop_len; + int poly_len; + int mat_len; + int loose_vert_len; + int loose_edge_len; + + /* Support for mapped mesh data. */ + struct { + /* Must be set if we want to get mapped data. */ + bool use; + bool supported; + + Mesh *me_cage; + + int vert_len; + int edge_len; + int tri_len; + int loop_len; + int poly_len; + + int *loose_verts; + int loose_vert_len; + + int *loose_edges; + int loose_edge_len; + + /* origindex layers */ + int *v_origindex; + int *e_origindex; + int *l_origindex; + int *p_origindex; + } mapped; + + BMEditMesh *edit_bmesh; + struct EditMeshData *edit_data; + const ToolSettings *toolsettings; + + Mesh *me; + + MVert *mvert; + const MEdge *medge; + const MLoop *mloop; + const MPoly *mpoly; + float (*orco)[3]; /* vertex coordinates normalized to bounding box */ + bool is_orco_allocated; + MDeformVert *dvert; + MLoopUV *mloopuv; + MLoopCol *mloopcol; + float (*loop_normals)[3]; + + /* CustomData 'cd' cache for efficient access. */ + struct { + struct { + MLoopUV **uv; + int uv_len; + int uv_active; + int uv_mask_active; + + MLoopCol **vcol; + int vcol_len; + int vcol_active; + + float (**tangent)[4]; + int tangent_len; + int tangent_active; + + bool *auto_vcol; + } layers; + + /* Custom-data offsets (only needed for BMesh access) */ + struct { + int crease; + int bweight; + int *uv; + int *vcol; #ifdef WITH_FREESTYLE - int freestyle_edge; - int freestyle_face; + int freestyle_edge; + int freestyle_face; #endif - } offset; - - struct { - char (*auto_mix)[32]; - char (*uv)[32]; - char (*vcol)[32]; - char (*tangent)[32]; - } uuid; - - /* for certain cases we need an output loop-data storage (bmesh tangents) */ - struct { - CustomData ldata; - /* grr, special case variable (use in place of 'dm->tangent_mask') */ - short tangent_mask; - } output; - } cd; - - BMVert *eve_act; - BMEdge *eed_act; - BMFace *efa_act; - BMFace *efa_act_uv; - - /* Data created on-demand (usually not for bmesh-based data). */ - EdgeAdjacentPolys *edges_adjacent_polys; - MLoopTri *mlooptri; - int *loose_edges; - int *loose_verts; - - float (*poly_normals)[3]; - float *vert_weight; - char (*vert_color)[3]; - GPUPackedNormal *poly_normals_pack; - GPUPackedNormal *vert_normals_pack; - bool *edge_select_bool; - bool *edge_visible_bool; + } offset; + + struct { + char (*auto_mix)[32]; + char (*uv)[32]; + char (*vcol)[32]; + char (*tangent)[32]; + } uuid; + + /* for certain cases we need an output loop-data storage (bmesh tangents) */ + struct { + CustomData ldata; + /* grr, special case variable (use in place of 'dm->tangent_mask') */ + short tangent_mask; + } output; + } cd; + + BMVert *eve_act; + BMEdge *eed_act; + BMFace *efa_act; + BMFace *efa_act_uv; + + /* Data created on-demand (usually not for bmesh-based data). */ + EdgeAdjacentPolys *edges_adjacent_polys; + MLoopTri *mlooptri; + int *loose_edges; + int *loose_verts; + + float (*poly_normals)[3]; + float *vert_weight; + char (*vert_color)[3]; + GPUPackedNormal *poly_normals_pack; + GPUPackedNormal *vert_normals_pack; + bool *edge_select_bool; + bool *edge_visible_bool; } MeshRenderData; enum { - MR_DATATYPE_VERT = 1 << 0, - MR_DATATYPE_EDGE = 1 << 1, - MR_DATATYPE_LOOPTRI = 1 << 2, - MR_DATATYPE_LOOP = 1 << 3, - MR_DATATYPE_POLY = 1 << 4, - MR_DATATYPE_OVERLAY = 1 << 5, - MR_DATATYPE_SHADING = 1 << 6, - MR_DATATYPE_DVERT = 1 << 7, - MR_DATATYPE_LOOPCOL = 1 << 8, - MR_DATATYPE_LOOPUV = 1 << 9, - MR_DATATYPE_LOOSE_VERT = 1 << 10, - MR_DATATYPE_LOOSE_EDGE = 1 << 11, + MR_DATATYPE_VERT = 1 << 0, + MR_DATATYPE_EDGE = 1 << 1, + MR_DATATYPE_LOOPTRI = 1 << 2, + MR_DATATYPE_LOOP = 1 << 3, + MR_DATATYPE_POLY = 1 << 4, + MR_DATATYPE_OVERLAY = 1 << 5, + MR_DATATYPE_SHADING = 1 << 6, + MR_DATATYPE_DVERT = 1 << 7, + MR_DATATYPE_LOOPCOL = 1 << 8, + MR_DATATYPE_LOOPUV = 1 << 9, + MR_DATATYPE_LOOSE_VERT = 1 << 10, + MR_DATATYPE_LOOSE_EDGE = 1 << 11, }; /** @@ -327,274 +325,278 @@ enum { */ static bool bm_vert_has_visible_edge(const BMVert *v) { - const BMEdge *e_iter, *e_first; - - e_iter = e_first = v->e; - do { - if (!BM_elem_flag_test(e_iter, BM_ELEM_HIDDEN)) { - return true; - } - } while ((e_iter = BM_DISK_EDGE_NEXT(e_iter, v)) != e_first); - return false; + const BMEdge *e_iter, *e_first; + + e_iter = e_first = v->e; + do { + if (!BM_elem_flag_test(e_iter, BM_ELEM_HIDDEN)) { + return true; + } + } while ((e_iter = BM_DISK_EDGE_NEXT(e_iter, v)) != e_first); + return false; } static bool bm_edge_has_visible_face(const BMEdge *e) { - const BMLoop *l_iter, *l_first; - l_iter = l_first = e->l; - do { - if (!BM_elem_flag_test(l_iter->f, BM_ELEM_HIDDEN)) { - return true; - } - } while ((l_iter = l_iter->radial_next) != l_first); - return false; + const BMLoop *l_iter, *l_first; + l_iter = l_first = e->l; + do { + if (!BM_elem_flag_test(l_iter->f, BM_ELEM_HIDDEN)) { + return true; + } + } while ((l_iter = l_iter->radial_next) != l_first); + return false; } BLI_INLINE bool bm_vert_is_loose_and_visible(const BMVert *v) { - return (!BM_elem_flag_test(v, BM_ELEM_HIDDEN) && - (v->e == NULL || !bm_vert_has_visible_edge(v))); + return (!BM_elem_flag_test(v, BM_ELEM_HIDDEN) && (v->e == NULL || !bm_vert_has_visible_edge(v))); } BLI_INLINE bool bm_edge_is_loose_and_visible(const BMEdge *e) { - return (!BM_elem_flag_test(e, BM_ELEM_HIDDEN) && - (e->l == NULL || !bm_edge_has_visible_face(e))); + return (!BM_elem_flag_test(e, BM_ELEM_HIDDEN) && (e->l == NULL || !bm_edge_has_visible_face(e))); } /* Return true is all layers in _b_ are inside _a_. */ BLI_INLINE bool mesh_cd_layers_type_overlap(DRW_MeshCDMask a, DRW_MeshCDMask b) { - return (*((uint32_t *)&a) & *((uint32_t *)&b)) == *((uint32_t *)&b); + return (*((uint32_t *)&a) & *((uint32_t *)&b)) == *((uint32_t *)&b); } BLI_INLINE void mesh_cd_layers_type_merge(DRW_MeshCDMask *a, DRW_MeshCDMask b) { - atomic_fetch_and_or_uint32((uint32_t *)a, *(uint32_t *)&b); + atomic_fetch_and_or_uint32((uint32_t *)a, *(uint32_t *)&b); } BLI_INLINE void mesh_cd_layers_type_clear(DRW_MeshCDMask *a) { - *((uint32_t *)a) = 0; + *((uint32_t *)a) = 0; } -static void mesh_cd_calc_active_uv_layer( - const Mesh *me, DRW_MeshCDMask *cd_used) +static void mesh_cd_calc_active_uv_layer(const Mesh *me, DRW_MeshCDMask *cd_used) { - const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; + const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; - int layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); - if (layer != -1) { - cd_used->uv |= (1 << layer); - } + int layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); + if (layer != -1) { + cd_used->uv |= (1 << layer); + } } -static void mesh_cd_calc_active_mask_uv_layer( - const Mesh *me, DRW_MeshCDMask *cd_used) +static void mesh_cd_calc_active_mask_uv_layer(const Mesh *me, DRW_MeshCDMask *cd_used) { - const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; + const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; - int layer = CustomData_get_stencil_layer(cd_ldata, CD_MLOOPUV); - if (layer != -1) { - cd_used->uv |= (1 << layer); - } + int layer = CustomData_get_stencil_layer(cd_ldata, CD_MLOOPUV); + if (layer != -1) { + cd_used->uv |= (1 << layer); + } } -static void mesh_cd_calc_active_vcol_layer( - const Mesh *me, DRW_MeshCDMask *cd_used) +static void mesh_cd_calc_active_vcol_layer(const Mesh *me, DRW_MeshCDMask *cd_used) { - const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; + const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; - int layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); - if (layer != -1) { - cd_used->vcol |= (1 << layer); - } + int layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); + if (layer != -1) { + cd_used->vcol |= (1 << layer); + } } -static DRW_MeshCDMask mesh_cd_calc_used_gpu_layers( - const Mesh *me, struct GPUMaterial **gpumat_array, int gpumat_array_len) +static DRW_MeshCDMask mesh_cd_calc_used_gpu_layers(const Mesh *me, + struct GPUMaterial **gpumat_array, + int gpumat_array_len) { - const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; - - /* See: DM_vertex_attributes_from_gpu for similar logic */ - GPUVertAttrLayers gpu_attrs = {{{0}}}; - DRW_MeshCDMask cd_used; - mesh_cd_layers_type_clear(&cd_used); - - for (int i = 0; i < gpumat_array_len; i++) { - GPUMaterial *gpumat = gpumat_array[i]; - if (gpumat) { - GPU_material_vertex_attrs(gpumat, &gpu_attrs); - for (int j = 0; j < gpu_attrs.totlayer; j++) { - const char *name = gpu_attrs.layer[j].name; - int type = gpu_attrs.layer[j].type; - int layer = -1; - - if (type == CD_AUTO_FROM_NAME) { - /* We need to deduct what exact layer is used. - * - * We do it based on the specified name. - */ - if (name[0] != '\0') { - layer = CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name); - type = CD_MTFACE; - - if (layer == -1) { - layer = CustomData_get_named_layer(cd_ldata, CD_MLOOPCOL, name); - type = CD_MCOL; - } -#if 0 /* Tangents are always from UV's - this will never happen. */ - if (layer == -1) { - layer = CustomData_get_named_layer(cd_ldata, CD_TANGENT, name); - type = CD_TANGENT; - } + const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; + + /* See: DM_vertex_attributes_from_gpu for similar logic */ + GPUVertAttrLayers gpu_attrs = {{{0}}}; + DRW_MeshCDMask cd_used; + mesh_cd_layers_type_clear(&cd_used); + + for (int i = 0; i < gpumat_array_len; i++) { + GPUMaterial *gpumat = gpumat_array[i]; + if (gpumat) { + GPU_material_vertex_attrs(gpumat, &gpu_attrs); + for (int j = 0; j < gpu_attrs.totlayer; j++) { + const char *name = gpu_attrs.layer[j].name; + int type = gpu_attrs.layer[j].type; + int layer = -1; + + if (type == CD_AUTO_FROM_NAME) { + /* We need to deduct what exact layer is used. + * + * We do it based on the specified name. + */ + if (name[0] != '\0') { + layer = CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name); + type = CD_MTFACE; + + if (layer == -1) { + layer = CustomData_get_named_layer(cd_ldata, CD_MLOOPCOL, name); + type = CD_MCOL; + } +#if 0 /* Tangents are always from UV's - this will never happen. */ + if (layer == -1) { + layer = CustomData_get_named_layer(cd_ldata, CD_TANGENT, name); + type = CD_TANGENT; + } #endif - if (layer == -1) { - continue; - } - } - else { - /* Fall back to the UV layer, which matches old behavior. */ - type = CD_MTFACE; - } - } - - switch (type) { - case CD_MTFACE: - { - if (layer == -1) { - layer = (name[0] != '\0') ? - CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name) : - CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); - } - if (layer != -1) { - cd_used.uv |= (1 << layer); - } - break; - } - case CD_TANGENT: - { - if (layer == -1) { - layer = (name[0] != '\0') ? - CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name) : - CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); - - /* Only fallback to orco (below) when we have no UV layers, see: T56545 */ - if (layer == -1 && name[0] != '\0') { - layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); - } - } - if (layer != -1) { - cd_used.tan |= (1 << layer); - } - else { - /* no UV layers at all => requesting orco */ - cd_used.tan_orco = 1; - cd_used.orco = 1; - } - break; - } - case CD_MCOL: - { - if (layer == -1) { - layer = (name[0] != '\0') ? - CustomData_get_named_layer(cd_ldata, CD_MLOOPCOL, name) : - CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); - } - if (layer != -1) { - cd_used.vcol |= (1 << layer); - } - break; - } - case CD_ORCO: - { - cd_used.orco = 1; - break; - } - } - } - } - } - return cd_used; + if (layer == -1) { + continue; + } + } + else { + /* Fall back to the UV layer, which matches old behavior. */ + type = CD_MTFACE; + } + } + + switch (type) { + case CD_MTFACE: { + if (layer == -1) { + layer = (name[0] != '\0') ? CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name) : + CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); + } + if (layer != -1) { + cd_used.uv |= (1 << layer); + } + break; + } + case CD_TANGENT: { + if (layer == -1) { + layer = (name[0] != '\0') ? CustomData_get_named_layer(cd_ldata, CD_MLOOPUV, name) : + CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); + + /* Only fallback to orco (below) when we have no UV layers, see: T56545 */ + if (layer == -1 && name[0] != '\0') { + layer = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); + } + } + if (layer != -1) { + cd_used.tan |= (1 << layer); + } + else { + /* no UV layers at all => requesting orco */ + cd_used.tan_orco = 1; + cd_used.orco = 1; + } + break; + } + case CD_MCOL: { + if (layer == -1) { + layer = (name[0] != '\0') ? CustomData_get_named_layer(cd_ldata, CD_MLOOPCOL, name) : + CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); + } + if (layer != -1) { + cd_used.vcol |= (1 << layer); + } + break; + } + case CD_ORCO: { + cd_used.orco = 1; + break; + } + } + } + } + } + return cd_used; } - -static void mesh_render_calc_normals_loop_and_poly(const Mesh *me, const float split_angle, MeshRenderData *rdata) +static void mesh_render_calc_normals_loop_and_poly(const Mesh *me, + const float split_angle, + MeshRenderData *rdata) { - BLI_assert((me->flag & ME_AUTOSMOOTH) != 0); - - int totloop = me->totloop; - int totpoly = me->totpoly; - float (*loop_normals)[3] = MEM_mallocN(sizeof(*loop_normals) * totloop, __func__); - float (*poly_normals)[3] = MEM_mallocN(sizeof(*poly_normals) * totpoly, __func__); - short (*clnors)[2] = CustomData_get_layer(&me->ldata, CD_CUSTOMLOOPNORMAL); - - BKE_mesh_calc_normals_poly( - me->mvert, NULL, me->totvert, - me->mloop, me->mpoly, totloop, totpoly, poly_normals, false); - - BKE_mesh_normals_loop_split( - me->mvert, me->totvert, me->medge, me->totedge, - me->mloop, loop_normals, totloop, me->mpoly, poly_normals, totpoly, - true, split_angle, NULL, clnors, NULL); - - rdata->loop_len = totloop; - rdata->poly_len = totpoly; - rdata->loop_normals = loop_normals; - rdata->poly_normals = poly_normals; + BLI_assert((me->flag & ME_AUTOSMOOTH) != 0); + + int totloop = me->totloop; + int totpoly = me->totpoly; + float(*loop_normals)[3] = MEM_mallocN(sizeof(*loop_normals) * totloop, __func__); + float(*poly_normals)[3] = MEM_mallocN(sizeof(*poly_normals) * totpoly, __func__); + short(*clnors)[2] = CustomData_get_layer(&me->ldata, CD_CUSTOMLOOPNORMAL); + + BKE_mesh_calc_normals_poly( + me->mvert, NULL, me->totvert, me->mloop, me->mpoly, totloop, totpoly, poly_normals, false); + + BKE_mesh_normals_loop_split(me->mvert, + me->totvert, + me->medge, + me->totedge, + me->mloop, + loop_normals, + totloop, + me->mpoly, + poly_normals, + totpoly, + true, + split_angle, + NULL, + clnors, + NULL); + + rdata->loop_len = totloop; + rdata->poly_len = totpoly; + rdata->loop_normals = loop_normals; + rdata->poly_normals = poly_normals; } -static void mesh_cd_extract_auto_layers_names_and_srgb( - Mesh *me, DRW_MeshCDMask cd_used, - char **r_auto_layers_names, int **r_auto_layers_srgb, int *r_auto_layers_len) +static void mesh_cd_extract_auto_layers_names_and_srgb(Mesh *me, + DRW_MeshCDMask cd_used, + char **r_auto_layers_names, + int **r_auto_layers_srgb, + int *r_auto_layers_len) { - const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; - - int uv_len_used = count_bits_i(cd_used.uv); - int vcol_len_used = count_bits_i(cd_used.vcol); - int uv_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPUV); - int vcol_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPCOL); - - uint auto_names_len = 32 * (uv_len_used + vcol_len_used); - uint auto_ofs = 0; - /* Allocate max, resize later. */ - char *auto_names = MEM_callocN(sizeof(char) * auto_names_len, __func__); - int *auto_is_srgb = MEM_callocN(sizeof(int) * (uv_len_used + vcol_len_used), __func__); - - for (int i = 0; i < uv_len; i++) { - if ((cd_used.uv & (1 << i)) != 0) { - const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i); - uint hash = BLI_ghashutil_strhash_p(name); - /* +1 to include '\0' terminator. */ - auto_ofs += 1 + BLI_snprintf_rlen(auto_names + auto_ofs, auto_names_len - auto_ofs, "ba%u", hash); - } - } - - uint auto_is_srgb_ofs = uv_len_used; - for (int i = 0; i < vcol_len; i++) { - if ((cd_used.vcol & (1 << i)) != 0) { - const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPCOL, i); - /* We only do vcols that are not overridden by a uv layer with same name. */ - if (CustomData_get_named_layer_index(cd_ldata, CD_MLOOPUV, name) == -1) { - uint hash = BLI_ghashutil_strhash_p(name); - /* +1 to include '\0' terminator. */ - auto_ofs += 1 + BLI_snprintf_rlen(auto_names + auto_ofs, auto_names_len - auto_ofs, "ba%u", hash); - auto_is_srgb[auto_is_srgb_ofs] = true; - auto_is_srgb_ofs++; - } - } - } - - auto_names = MEM_reallocN(auto_names, sizeof(char) * auto_ofs); - auto_is_srgb = MEM_reallocN(auto_is_srgb, sizeof(int) * auto_is_srgb_ofs); - - /* WATCH: May have been referenced somewhere before freeing. */ - MEM_SAFE_FREE(*r_auto_layers_names); - MEM_SAFE_FREE(*r_auto_layers_srgb); - - *r_auto_layers_names = auto_names; - *r_auto_layers_srgb = auto_is_srgb; - *r_auto_layers_len = auto_is_srgb_ofs; + const CustomData *cd_ldata = (me->edit_mesh) ? &me->edit_mesh->bm->ldata : &me->ldata; + + int uv_len_used = count_bits_i(cd_used.uv); + int vcol_len_used = count_bits_i(cd_used.vcol); + int uv_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPUV); + int vcol_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPCOL); + + uint auto_names_len = 32 * (uv_len_used + vcol_len_used); + uint auto_ofs = 0; + /* Allocate max, resize later. */ + char *auto_names = MEM_callocN(sizeof(char) * auto_names_len, __func__); + int *auto_is_srgb = MEM_callocN(sizeof(int) * (uv_len_used + vcol_len_used), __func__); + + for (int i = 0; i < uv_len; i++) { + if ((cd_used.uv & (1 << i)) != 0) { + const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i); + uint hash = BLI_ghashutil_strhash_p(name); + /* +1 to include '\0' terminator. */ + auto_ofs += 1 + BLI_snprintf_rlen( + auto_names + auto_ofs, auto_names_len - auto_ofs, "ba%u", hash); + } + } + + uint auto_is_srgb_ofs = uv_len_used; + for (int i = 0; i < vcol_len; i++) { + if ((cd_used.vcol & (1 << i)) != 0) { + const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPCOL, i); + /* We only do vcols that are not overridden by a uv layer with same name. */ + if (CustomData_get_named_layer_index(cd_ldata, CD_MLOOPUV, name) == -1) { + uint hash = BLI_ghashutil_strhash_p(name); + /* +1 to include '\0' terminator. */ + auto_ofs += 1 + BLI_snprintf_rlen( + auto_names + auto_ofs, auto_names_len - auto_ofs, "ba%u", hash); + auto_is_srgb[auto_is_srgb_ofs] = true; + auto_is_srgb_ofs++; + } + } + } + + auto_names = MEM_reallocN(auto_names, sizeof(char) * auto_ofs); + auto_is_srgb = MEM_reallocN(auto_is_srgb, sizeof(int) * auto_is_srgb_ofs); + + /* WATCH: May have been referenced somewhere before freeing. */ + MEM_SAFE_FREE(*r_auto_layers_names); + MEM_SAFE_FREE(*r_auto_layers_srgb); + + *r_auto_layers_names = auto_names; + *r_auto_layers_srgb = auto_is_srgb; + *r_auto_layers_len = auto_is_srgb_ofs; } /** @@ -602,586 +604,619 @@ static void mesh_cd_extract_auto_layers_names_and_srgb( * While not default, object materials should be supported. * Although this only impacts the data that's generated, not the materials that display. */ -static MeshRenderData *mesh_render_data_create_ex( - Mesh *me, const int types, const DRW_MeshCDMask *cd_used, - const ToolSettings *ts) +static MeshRenderData *mesh_render_data_create_ex(Mesh *me, + const int types, + const DRW_MeshCDMask *cd_used, + const ToolSettings *ts) { - MeshRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); - rdata->types = types; - rdata->toolsettings = ts; - rdata->mat_len = mesh_render_mat_len_get(me); - - CustomData_reset(&rdata->cd.output.ldata); - - const bool is_auto_smooth = (me->flag & ME_AUTOSMOOTH) != 0; - const float split_angle = is_auto_smooth ? me->smoothresh : (float)M_PI; - - if (me->edit_mesh) { - BMEditMesh *embm = me->edit_mesh; - BMesh *bm = embm->bm; - - rdata->edit_bmesh = embm; - rdata->edit_data = me->runtime.edit_data; - - if (embm->mesh_eval_cage && (embm->mesh_eval_cage->runtime.is_original == false)) { - Mesh *me_cage = embm->mesh_eval_cage; - - rdata->mapped.me_cage = me_cage; - if (types & MR_DATATYPE_VERT) { - rdata->mapped.vert_len = me_cage->totvert; - } - if (types & MR_DATATYPE_EDGE) { - rdata->mapped.edge_len = me_cage->totedge; - } - if (types & MR_DATATYPE_LOOP) { - rdata->mapped.loop_len = me_cage->totloop; - } - if (types & MR_DATATYPE_POLY) { - rdata->mapped.poly_len = me_cage->totpoly; - } - if (types & MR_DATATYPE_LOOPTRI) { - rdata->mapped.tri_len = poly_to_tri_count(me_cage->totpoly, me_cage->totloop); - } - if (types & MR_DATATYPE_LOOPUV) { - rdata->mloopuv = CustomData_get_layer(&me_cage->ldata, CD_MLOOPUV); - } - - rdata->mapped.v_origindex = CustomData_get_layer(&me_cage->vdata, CD_ORIGINDEX); - rdata->mapped.e_origindex = CustomData_get_layer(&me_cage->edata, CD_ORIGINDEX); - rdata->mapped.l_origindex = CustomData_get_layer(&me_cage->ldata, CD_ORIGINDEX); - rdata->mapped.p_origindex = CustomData_get_layer(&me_cage->pdata, CD_ORIGINDEX); - rdata->mapped.supported = ( - rdata->mapped.v_origindex || - rdata->mapped.e_origindex || - rdata->mapped.p_origindex); - } - - int bm_ensure_types = 0; - if (types & MR_DATATYPE_VERT) { - rdata->vert_len = bm->totvert; - bm_ensure_types |= BM_VERT; - } - if (types & MR_DATATYPE_EDGE) { - rdata->edge_len = bm->totedge; - bm_ensure_types |= BM_EDGE; - } - if (types & MR_DATATYPE_LOOPTRI) { - bm_ensure_types |= BM_LOOP; - } - if (types & MR_DATATYPE_LOOP) { - int totloop = bm->totloop; - if (is_auto_smooth) { - rdata->loop_normals = MEM_mallocN(sizeof(*rdata->loop_normals) * totloop, __func__); - int cd_loop_clnors_offset = CustomData_get_offset(&bm->ldata, CD_CUSTOMLOOPNORMAL); - BM_loops_calc_normal_vcos( - bm, NULL, NULL, NULL, true, split_angle, rdata->loop_normals, NULL, NULL, - cd_loop_clnors_offset, false); - } - rdata->loop_len = totloop; - bm_ensure_types |= BM_LOOP; - } - if (types & MR_DATATYPE_POLY) { - rdata->poly_len = bm->totface; - bm_ensure_types |= BM_FACE; - } - if (types & MR_DATATYPE_OVERLAY) { - rdata->efa_act_uv = EDBM_uv_active_face_get(embm, false, false); - rdata->efa_act = BM_mesh_active_face_get(bm, false, true); - rdata->eed_act = BM_mesh_active_edge_get(bm); - rdata->eve_act = BM_mesh_active_vert_get(bm); - rdata->cd.offset.crease = CustomData_get_offset(&bm->edata, CD_CREASE); - rdata->cd.offset.bweight = CustomData_get_offset(&bm->edata, CD_BWEIGHT); + MeshRenderData *rdata = MEM_callocN(sizeof(*rdata), __func__); + rdata->types = types; + rdata->toolsettings = ts; + rdata->mat_len = mesh_render_mat_len_get(me); + + CustomData_reset(&rdata->cd.output.ldata); + + const bool is_auto_smooth = (me->flag & ME_AUTOSMOOTH) != 0; + const float split_angle = is_auto_smooth ? me->smoothresh : (float)M_PI; + + if (me->edit_mesh) { + BMEditMesh *embm = me->edit_mesh; + BMesh *bm = embm->bm; + + rdata->edit_bmesh = embm; + rdata->edit_data = me->runtime.edit_data; + + if (embm->mesh_eval_cage && (embm->mesh_eval_cage->runtime.is_original == false)) { + Mesh *me_cage = embm->mesh_eval_cage; + + rdata->mapped.me_cage = me_cage; + if (types & MR_DATATYPE_VERT) { + rdata->mapped.vert_len = me_cage->totvert; + } + if (types & MR_DATATYPE_EDGE) { + rdata->mapped.edge_len = me_cage->totedge; + } + if (types & MR_DATATYPE_LOOP) { + rdata->mapped.loop_len = me_cage->totloop; + } + if (types & MR_DATATYPE_POLY) { + rdata->mapped.poly_len = me_cage->totpoly; + } + if (types & MR_DATATYPE_LOOPTRI) { + rdata->mapped.tri_len = poly_to_tri_count(me_cage->totpoly, me_cage->totloop); + } + if (types & MR_DATATYPE_LOOPUV) { + rdata->mloopuv = CustomData_get_layer(&me_cage->ldata, CD_MLOOPUV); + } + + rdata->mapped.v_origindex = CustomData_get_layer(&me_cage->vdata, CD_ORIGINDEX); + rdata->mapped.e_origindex = CustomData_get_layer(&me_cage->edata, CD_ORIGINDEX); + rdata->mapped.l_origindex = CustomData_get_layer(&me_cage->ldata, CD_ORIGINDEX); + rdata->mapped.p_origindex = CustomData_get_layer(&me_cage->pdata, CD_ORIGINDEX); + rdata->mapped.supported = (rdata->mapped.v_origindex || rdata->mapped.e_origindex || + rdata->mapped.p_origindex); + } + + int bm_ensure_types = 0; + if (types & MR_DATATYPE_VERT) { + rdata->vert_len = bm->totvert; + bm_ensure_types |= BM_VERT; + } + if (types & MR_DATATYPE_EDGE) { + rdata->edge_len = bm->totedge; + bm_ensure_types |= BM_EDGE; + } + if (types & MR_DATATYPE_LOOPTRI) { + bm_ensure_types |= BM_LOOP; + } + if (types & MR_DATATYPE_LOOP) { + int totloop = bm->totloop; + if (is_auto_smooth) { + rdata->loop_normals = MEM_mallocN(sizeof(*rdata->loop_normals) * totloop, __func__); + int cd_loop_clnors_offset = CustomData_get_offset(&bm->ldata, CD_CUSTOMLOOPNORMAL); + BM_loops_calc_normal_vcos(bm, + NULL, + NULL, + NULL, + true, + split_angle, + rdata->loop_normals, + NULL, + NULL, + cd_loop_clnors_offset, + false); + } + rdata->loop_len = totloop; + bm_ensure_types |= BM_LOOP; + } + if (types & MR_DATATYPE_POLY) { + rdata->poly_len = bm->totface; + bm_ensure_types |= BM_FACE; + } + if (types & MR_DATATYPE_OVERLAY) { + rdata->efa_act_uv = EDBM_uv_active_face_get(embm, false, false); + rdata->efa_act = BM_mesh_active_face_get(bm, false, true); + rdata->eed_act = BM_mesh_active_edge_get(bm); + rdata->eve_act = BM_mesh_active_vert_get(bm); + rdata->cd.offset.crease = CustomData_get_offset(&bm->edata, CD_CREASE); + rdata->cd.offset.bweight = CustomData_get_offset(&bm->edata, CD_BWEIGHT); #ifdef WITH_FREESTYLE - rdata->cd.offset.freestyle_edge = CustomData_get_offset(&bm->edata, CD_FREESTYLE_EDGE); - rdata->cd.offset.freestyle_face = CustomData_get_offset(&bm->pdata, CD_FREESTYLE_FACE); + rdata->cd.offset.freestyle_edge = CustomData_get_offset(&bm->edata, CD_FREESTYLE_EDGE); + rdata->cd.offset.freestyle_face = CustomData_get_offset(&bm->pdata, CD_FREESTYLE_FACE); #endif - } - if (types & (MR_DATATYPE_DVERT)) { - bm_ensure_types |= BM_VERT; - } - if (rdata->edit_data != NULL) { - bm_ensure_types |= BM_VERT; - } - - BM_mesh_elem_index_ensure(bm, bm_ensure_types); - BM_mesh_elem_table_ensure(bm, bm_ensure_types & ~BM_LOOP); - - if (types & MR_DATATYPE_LOOPTRI) { - /* Edit mode ensures this is valid, no need to calculate. */ - BLI_assert((bm->totloop == 0) || (embm->looptris != NULL)); - int tottri = embm->tottri; - MLoopTri *mlooptri = MEM_mallocN(sizeof(*rdata->mlooptri) * embm->tottri, __func__); - for (int index = 0; index < tottri ; index ++ ) { - BMLoop **bmtri = embm->looptris[index]; - MLoopTri *mtri = &mlooptri[index]; - mtri->tri[0] = BM_elem_index_get(bmtri[0]); - mtri->tri[1] = BM_elem_index_get(bmtri[1]); - mtri->tri[2] = BM_elem_index_get(bmtri[2]); - } - rdata->mlooptri = mlooptri; - rdata->tri_len = tottri; - } - - if (types & MR_DATATYPE_LOOSE_VERT) { - BLI_assert(types & MR_DATATYPE_VERT); - rdata->loose_vert_len = 0; - - { - int *lverts = MEM_mallocN(rdata->vert_len * sizeof(int), __func__); - BLI_assert((bm->elem_table_dirty & BM_VERT) == 0); - for (int i = 0; i < bm->totvert; i++) { - const BMVert *eve = BM_vert_at_index(bm, i); - if (bm_vert_is_loose_and_visible(eve)) { - lverts[rdata->loose_vert_len++] = i; - } - } - rdata->loose_verts = MEM_reallocN(lverts, rdata->loose_vert_len * sizeof(int)); - } - - if (rdata->mapped.supported) { - Mesh *me_cage = embm->mesh_eval_cage; - rdata->mapped.loose_vert_len = 0; - - if (rdata->loose_vert_len) { - int *lverts = MEM_mallocN(me_cage->totvert * sizeof(int), __func__); - const int *v_origindex = rdata->mapped.v_origindex; - for (int i = 0; i < me_cage->totvert; i++) { - const int v_orig = v_origindex[i]; - if (v_orig != ORIGINDEX_NONE) { - BMVert *eve = BM_vert_at_index(bm, v_orig); - if (bm_vert_is_loose_and_visible(eve)) { - lverts[rdata->mapped.loose_vert_len++] = i; - } - } - } - rdata->mapped.loose_verts = MEM_reallocN(lverts, rdata->mapped.loose_vert_len * sizeof(int)); - } - } - } - - if (types & MR_DATATYPE_LOOSE_EDGE) { - BLI_assert(types & MR_DATATYPE_EDGE); - rdata->loose_edge_len = 0; - - { - int *ledges = MEM_mallocN(rdata->edge_len * sizeof(int), __func__); - BLI_assert((bm->elem_table_dirty & BM_EDGE) == 0); - for (int i = 0; i < bm->totedge; i++) { - const BMEdge *eed = BM_edge_at_index(bm, i); - if (bm_edge_is_loose_and_visible(eed)) { - ledges[rdata->loose_edge_len++] = i; - } - } - rdata->loose_edges = MEM_reallocN(ledges, rdata->loose_edge_len * sizeof(int)); - } - - if (rdata->mapped.supported) { - Mesh *me_cage = embm->mesh_eval_cage; - rdata->mapped.loose_edge_len = 0; - - if (rdata->loose_edge_len) { - int *ledges = MEM_mallocN(me_cage->totedge * sizeof(int), __func__); - const int *e_origindex = rdata->mapped.e_origindex; - for (int i = 0; i < me_cage->totedge; i++) { - const int e_orig = e_origindex[i]; - if (e_orig != ORIGINDEX_NONE) { - BMEdge *eed = BM_edge_at_index(bm, e_orig); - if (bm_edge_is_loose_and_visible(eed)) { - ledges[rdata->mapped.loose_edge_len++] = i; - } - } - } - rdata->mapped.loose_edges = MEM_reallocN(ledges, rdata->mapped.loose_edge_len * sizeof(int)); - } - } - } - } - else { - rdata->me = me; - - if (types & (MR_DATATYPE_VERT)) { - rdata->vert_len = me->totvert; - rdata->mvert = CustomData_get_layer(&me->vdata, CD_MVERT); - } - if (types & (MR_DATATYPE_EDGE)) { - rdata->edge_len = me->totedge; - rdata->medge = CustomData_get_layer(&me->edata, CD_MEDGE); - } - if (types & MR_DATATYPE_LOOPTRI) { - const int tri_len = rdata->tri_len = poly_to_tri_count(me->totpoly, me->totloop); - MLoopTri *mlooptri = MEM_mallocN(sizeof(*mlooptri) * tri_len, __func__); - BKE_mesh_recalc_looptri(me->mloop, me->mpoly, me->mvert, me->totloop, me->totpoly, mlooptri); - rdata->mlooptri = mlooptri; - } - if (types & MR_DATATYPE_LOOP) { - rdata->loop_len = me->totloop; - rdata->mloop = CustomData_get_layer(&me->ldata, CD_MLOOP); - - if (is_auto_smooth) { - mesh_render_calc_normals_loop_and_poly(me, split_angle, rdata); - } - } - if (types & MR_DATATYPE_POLY) { - rdata->poly_len = me->totpoly; - rdata->mpoly = CustomData_get_layer(&me->pdata, CD_MPOLY); - } - if (types & MR_DATATYPE_DVERT) { - rdata->vert_len = me->totvert; - rdata->dvert = CustomData_get_layer(&me->vdata, CD_MDEFORMVERT); - } - if (types & MR_DATATYPE_LOOPCOL) { - rdata->loop_len = me->totloop; - rdata->mloopcol = CustomData_get_layer(&me->ldata, CD_MLOOPCOL); - } - if (types & MR_DATATYPE_LOOPUV) { - rdata->loop_len = me->totloop; - rdata->mloopuv = CustomData_get_layer(&me->ldata, CD_MLOOPUV); - } - } - - if (types & MR_DATATYPE_SHADING) { - CustomData *cd_vdata, *cd_ldata; - - BLI_assert(cd_used != NULL); - - if (me->edit_mesh) { - BMesh *bm = me->edit_mesh->bm; - cd_vdata = &bm->vdata; - cd_ldata = &bm->ldata; - } - else { - cd_vdata = &me->vdata; - cd_ldata = &me->ldata; - } - - rdata->cd.layers.uv_active = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); - rdata->cd.layers.uv_mask_active = CustomData_get_stencil_layer(cd_ldata, CD_MLOOPUV); - rdata->cd.layers.vcol_active = CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); - rdata->cd.layers.tangent_active = rdata->cd.layers.uv_active; + } + if (types & (MR_DATATYPE_DVERT)) { + bm_ensure_types |= BM_VERT; + } + if (rdata->edit_data != NULL) { + bm_ensure_types |= BM_VERT; + } + + BM_mesh_elem_index_ensure(bm, bm_ensure_types); + BM_mesh_elem_table_ensure(bm, bm_ensure_types & ~BM_LOOP); + + if (types & MR_DATATYPE_LOOPTRI) { + /* Edit mode ensures this is valid, no need to calculate. */ + BLI_assert((bm->totloop == 0) || (embm->looptris != NULL)); + int tottri = embm->tottri; + MLoopTri *mlooptri = MEM_mallocN(sizeof(*rdata->mlooptri) * embm->tottri, __func__); + for (int index = 0; index < tottri; index++) { + BMLoop **bmtri = embm->looptris[index]; + MLoopTri *mtri = &mlooptri[index]; + mtri->tri[0] = BM_elem_index_get(bmtri[0]); + mtri->tri[1] = BM_elem_index_get(bmtri[1]); + mtri->tri[2] = BM_elem_index_get(bmtri[2]); + } + rdata->mlooptri = mlooptri; + rdata->tri_len = tottri; + } + + if (types & MR_DATATYPE_LOOSE_VERT) { + BLI_assert(types & MR_DATATYPE_VERT); + rdata->loose_vert_len = 0; + + { + int *lverts = MEM_mallocN(rdata->vert_len * sizeof(int), __func__); + BLI_assert((bm->elem_table_dirty & BM_VERT) == 0); + for (int i = 0; i < bm->totvert; i++) { + const BMVert *eve = BM_vert_at_index(bm, i); + if (bm_vert_is_loose_and_visible(eve)) { + lverts[rdata->loose_vert_len++] = i; + } + } + rdata->loose_verts = MEM_reallocN(lverts, rdata->loose_vert_len * sizeof(int)); + } + + if (rdata->mapped.supported) { + Mesh *me_cage = embm->mesh_eval_cage; + rdata->mapped.loose_vert_len = 0; + + if (rdata->loose_vert_len) { + int *lverts = MEM_mallocN(me_cage->totvert * sizeof(int), __func__); + const int *v_origindex = rdata->mapped.v_origindex; + for (int i = 0; i < me_cage->totvert; i++) { + const int v_orig = v_origindex[i]; + if (v_orig != ORIGINDEX_NONE) { + BMVert *eve = BM_vert_at_index(bm, v_orig); + if (bm_vert_is_loose_and_visible(eve)) { + lverts[rdata->mapped.loose_vert_len++] = i; + } + } + } + rdata->mapped.loose_verts = MEM_reallocN(lverts, + rdata->mapped.loose_vert_len * sizeof(int)); + } + } + } + + if (types & MR_DATATYPE_LOOSE_EDGE) { + BLI_assert(types & MR_DATATYPE_EDGE); + rdata->loose_edge_len = 0; + + { + int *ledges = MEM_mallocN(rdata->edge_len * sizeof(int), __func__); + BLI_assert((bm->elem_table_dirty & BM_EDGE) == 0); + for (int i = 0; i < bm->totedge; i++) { + const BMEdge *eed = BM_edge_at_index(bm, i); + if (bm_edge_is_loose_and_visible(eed)) { + ledges[rdata->loose_edge_len++] = i; + } + } + rdata->loose_edges = MEM_reallocN(ledges, rdata->loose_edge_len * sizeof(int)); + } + + if (rdata->mapped.supported) { + Mesh *me_cage = embm->mesh_eval_cage; + rdata->mapped.loose_edge_len = 0; + + if (rdata->loose_edge_len) { + int *ledges = MEM_mallocN(me_cage->totedge * sizeof(int), __func__); + const int *e_origindex = rdata->mapped.e_origindex; + for (int i = 0; i < me_cage->totedge; i++) { + const int e_orig = e_origindex[i]; + if (e_orig != ORIGINDEX_NONE) { + BMEdge *eed = BM_edge_at_index(bm, e_orig); + if (bm_edge_is_loose_and_visible(eed)) { + ledges[rdata->mapped.loose_edge_len++] = i; + } + } + } + rdata->mapped.loose_edges = MEM_reallocN(ledges, + rdata->mapped.loose_edge_len * sizeof(int)); + } + } + } + } + else { + rdata->me = me; + + if (types & (MR_DATATYPE_VERT)) { + rdata->vert_len = me->totvert; + rdata->mvert = CustomData_get_layer(&me->vdata, CD_MVERT); + } + if (types & (MR_DATATYPE_EDGE)) { + rdata->edge_len = me->totedge; + rdata->medge = CustomData_get_layer(&me->edata, CD_MEDGE); + } + if (types & MR_DATATYPE_LOOPTRI) { + const int tri_len = rdata->tri_len = poly_to_tri_count(me->totpoly, me->totloop); + MLoopTri *mlooptri = MEM_mallocN(sizeof(*mlooptri) * tri_len, __func__); + BKE_mesh_recalc_looptri(me->mloop, me->mpoly, me->mvert, me->totloop, me->totpoly, mlooptri); + rdata->mlooptri = mlooptri; + } + if (types & MR_DATATYPE_LOOP) { + rdata->loop_len = me->totloop; + rdata->mloop = CustomData_get_layer(&me->ldata, CD_MLOOP); + + if (is_auto_smooth) { + mesh_render_calc_normals_loop_and_poly(me, split_angle, rdata); + } + } + if (types & MR_DATATYPE_POLY) { + rdata->poly_len = me->totpoly; + rdata->mpoly = CustomData_get_layer(&me->pdata, CD_MPOLY); + } + if (types & MR_DATATYPE_DVERT) { + rdata->vert_len = me->totvert; + rdata->dvert = CustomData_get_layer(&me->vdata, CD_MDEFORMVERT); + } + if (types & MR_DATATYPE_LOOPCOL) { + rdata->loop_len = me->totloop; + rdata->mloopcol = CustomData_get_layer(&me->ldata, CD_MLOOPCOL); + } + if (types & MR_DATATYPE_LOOPUV) { + rdata->loop_len = me->totloop; + rdata->mloopuv = CustomData_get_layer(&me->ldata, CD_MLOOPUV); + } + } + + if (types & MR_DATATYPE_SHADING) { + CustomData *cd_vdata, *cd_ldata; + + BLI_assert(cd_used != NULL); + + if (me->edit_mesh) { + BMesh *bm = me->edit_mesh->bm; + cd_vdata = &bm->vdata; + cd_ldata = &bm->ldata; + } + else { + cd_vdata = &me->vdata; + cd_ldata = &me->ldata; + } + + rdata->cd.layers.uv_active = CustomData_get_active_layer(cd_ldata, CD_MLOOPUV); + rdata->cd.layers.uv_mask_active = CustomData_get_stencil_layer(cd_ldata, CD_MLOOPUV); + rdata->cd.layers.vcol_active = CustomData_get_active_layer(cd_ldata, CD_MLOOPCOL); + rdata->cd.layers.tangent_active = rdata->cd.layers.uv_active; #define CD_VALIDATE_ACTIVE_LAYER(active_index, used) \ - if ((active_index != -1) && (used & (1 << active_index)) == 0) { \ - active_index = -1; \ - } ((void)0) + if ((active_index != -1) && (used & (1 << active_index)) == 0) { \ + active_index = -1; \ + } \ + ((void)0) - CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.uv_active, cd_used->uv); - CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.uv_mask_active, cd_used->uv); - CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.tangent_active, cd_used->tan); - CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.vcol_active, cd_used->vcol); + CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.uv_active, cd_used->uv); + CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.uv_mask_active, cd_used->uv); + CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.tangent_active, cd_used->tan); + CD_VALIDATE_ACTIVE_LAYER(rdata->cd.layers.vcol_active, cd_used->vcol); #undef CD_VALIDATE_ACTIVE_LAYER - rdata->is_orco_allocated = false; - if (cd_used->orco != 0) { - rdata->orco = CustomData_get_layer(cd_vdata, CD_ORCO); - /* If orco is not available compute it ourselves */ - if (!rdata->orco) { - rdata->is_orco_allocated = true; - if (me->edit_mesh) { - BMesh *bm = me->edit_mesh->bm; - rdata->orco = MEM_mallocN(sizeof(*rdata->orco) * rdata->vert_len, "orco mesh"); - BLI_assert((bm->elem_table_dirty & BM_VERT) == 0); - for (int i = 0; i < bm->totvert; i++) { - copy_v3_v3(rdata->orco[i], BM_vert_at_index(bm, i)->co); - } - BKE_mesh_orco_verts_transform(me, rdata->orco, rdata->vert_len, 0); - } - else { - rdata->orco = MEM_mallocN(sizeof(*rdata->orco) * rdata->vert_len, "orco mesh"); - MVert *mvert = rdata->mvert; - for (int a = 0; a < rdata->vert_len; a++, mvert++) { - copy_v3_v3(rdata->orco[a], mvert->co); - } - BKE_mesh_orco_verts_transform(me, rdata->orco, rdata->vert_len, 0); - } - } - } - else { - rdata->orco = NULL; - } - - /* don't access mesh directly, instead use vars taken from BMesh or Mesh */ + rdata->is_orco_allocated = false; + if (cd_used->orco != 0) { + rdata->orco = CustomData_get_layer(cd_vdata, CD_ORCO); + /* If orco is not available compute it ourselves */ + if (!rdata->orco) { + rdata->is_orco_allocated = true; + if (me->edit_mesh) { + BMesh *bm = me->edit_mesh->bm; + rdata->orco = MEM_mallocN(sizeof(*rdata->orco) * rdata->vert_len, "orco mesh"); + BLI_assert((bm->elem_table_dirty & BM_VERT) == 0); + for (int i = 0; i < bm->totvert; i++) { + copy_v3_v3(rdata->orco[i], BM_vert_at_index(bm, i)->co); + } + BKE_mesh_orco_verts_transform(me, rdata->orco, rdata->vert_len, 0); + } + else { + rdata->orco = MEM_mallocN(sizeof(*rdata->orco) * rdata->vert_len, "orco mesh"); + MVert *mvert = rdata->mvert; + for (int a = 0; a < rdata->vert_len; a++, mvert++) { + copy_v3_v3(rdata->orco[a], mvert->co); + } + BKE_mesh_orco_verts_transform(me, rdata->orco, rdata->vert_len, 0); + } + } + } + else { + rdata->orco = NULL; + } + + /* don't access mesh directly, instead use vars taken from BMesh or Mesh */ #define me DONT_USE_THIS -#ifdef me /* quiet warning */ +#ifdef me /* quiet warning */ #endif - struct { - uint uv_len; - uint vcol_len; - } cd_layers_src = { - .uv_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPUV), - .vcol_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPCOL), - }; - - rdata->cd.layers.uv_len = min_ii(cd_layers_src.uv_len, count_bits_i(cd_used->uv)); - rdata->cd.layers.tangent_len = count_bits_i(cd_used->tan) + cd_used->tan_orco; - rdata->cd.layers.vcol_len = min_ii(cd_layers_src.vcol_len, count_bits_i(cd_used->vcol)); - - rdata->cd.layers.uv = MEM_mallocN(sizeof(*rdata->cd.layers.uv) * rdata->cd.layers.uv_len, __func__); - rdata->cd.layers.vcol = MEM_mallocN(sizeof(*rdata->cd.layers.vcol) * rdata->cd.layers.vcol_len, __func__); - rdata->cd.layers.tangent = MEM_mallocN(sizeof(*rdata->cd.layers.tangent) * rdata->cd.layers.tangent_len, __func__); - - rdata->cd.uuid.uv = MEM_mallocN(sizeof(*rdata->cd.uuid.uv) * rdata->cd.layers.uv_len, __func__); - rdata->cd.uuid.vcol = MEM_mallocN(sizeof(*rdata->cd.uuid.vcol) * rdata->cd.layers.vcol_len, __func__); - rdata->cd.uuid.tangent = MEM_mallocN(sizeof(*rdata->cd.uuid.tangent) * rdata->cd.layers.tangent_len, __func__); - - rdata->cd.offset.uv = MEM_mallocN(sizeof(*rdata->cd.offset.uv) * rdata->cd.layers.uv_len, __func__); - rdata->cd.offset.vcol = MEM_mallocN(sizeof(*rdata->cd.offset.vcol) * rdata->cd.layers.vcol_len, __func__); - - /* Allocate max */ - rdata->cd.layers.auto_vcol = MEM_callocN( - sizeof(*rdata->cd.layers.auto_vcol) * rdata->cd.layers.vcol_len, __func__); - rdata->cd.uuid.auto_mix = MEM_mallocN( - sizeof(*rdata->cd.uuid.auto_mix) * (rdata->cd.layers.vcol_len + rdata->cd.layers.uv_len), __func__); - - /* XXX FIXME XXX */ - /* We use a hash to identify each data layer based on its name. - * Gawain then search for this name in the current shader and bind if it exists. - * NOTE : This is prone to hash collision. - * One solution to hash collision would be to format the cd layer name - * to a safe glsl var name, but without name clash. - * NOTE 2 : Replicate changes to code_generate_vertex_new() in gpu_codegen.c */ - if (rdata->cd.layers.vcol_len != 0) { - int act_vcol = rdata->cd.layers.vcol_active; - for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.vcol_len; i_src++, i_dst++) { - if ((cd_used->vcol & (1 << i_src)) == 0) { - /* This is a non-used VCol slot. Skip. */ - i_dst--; - if (rdata->cd.layers.vcol_active >= i_src) { - act_vcol--; - } - } - else { - const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPCOL, i_src); - uint hash = BLI_ghashutil_strhash_p(name); - BLI_snprintf(rdata->cd.uuid.vcol[i_dst], sizeof(*rdata->cd.uuid.vcol), "c%u", hash); - rdata->cd.layers.vcol[i_dst] = CustomData_get_layer_n(cd_ldata, CD_MLOOPCOL, i_src); - if (rdata->edit_bmesh) { - rdata->cd.offset.vcol[i_dst] = CustomData_get_n_offset( - &rdata->edit_bmesh->bm->ldata, CD_MLOOPCOL, i_src); - } - - /* Gather number of auto layers. */ - /* We only do vcols that are not overridden by uvs */ - if (CustomData_get_named_layer_index(cd_ldata, CD_MLOOPUV, name) == -1) { - BLI_snprintf( - rdata->cd.uuid.auto_mix[rdata->cd.layers.uv_len + i_dst], - sizeof(*rdata->cd.uuid.auto_mix), "a%u", hash); - rdata->cd.layers.auto_vcol[i_dst] = true; - } - } - } - if (rdata->cd.layers.vcol_active != -1) { - /* Actual active Vcol slot inside vcol layers used for shading. */ - rdata->cd.layers.vcol_active = act_vcol; - } - } - - /* Start Fresh */ - CustomData_free_layers(cd_ldata, CD_TANGENT, rdata->loop_len); - CustomData_free_layers(cd_ldata, CD_MLOOPTANGENT, rdata->loop_len); - - if (rdata->cd.layers.uv_len != 0) { - int act_uv = rdata->cd.layers.uv_active; - for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { - if ((cd_used->uv & (1 << i_src)) == 0) { - /* This is a non-used UV slot. Skip. */ - i_dst--; - if (rdata->cd.layers.uv_active >= i_src) { - act_uv--; - } - } - else { - const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src); - uint hash = BLI_ghashutil_strhash_p(name); - - BLI_snprintf(rdata->cd.uuid.uv[i_dst], sizeof(*rdata->cd.uuid.uv), "u%u", hash); - rdata->cd.layers.uv[i_dst] = CustomData_get_layer_n(cd_ldata, CD_MLOOPUV, i_src); - if (rdata->edit_bmesh) { - rdata->cd.offset.uv[i_dst] = CustomData_get_n_offset( - &rdata->edit_bmesh->bm->ldata, CD_MLOOPUV, i_src); - } - BLI_snprintf(rdata->cd.uuid.auto_mix[i_dst], sizeof(*rdata->cd.uuid.auto_mix), "a%u", hash); - } - } - if (rdata->cd.layers.uv_active != -1) { - /* Actual active UV slot inside uv layers used for shading. */ - rdata->cd.layers.uv_active = act_uv; - } - } - - if (rdata->cd.layers.tangent_len != 0) { - - /* -------------------------------------------------------------------- */ - /* Pre-calculate tangents into 'rdata->cd.output.ldata' */ - - BLI_assert(!CustomData_has_layer(&rdata->cd.output.ldata, CD_TANGENT)); - - /* Tangent Names */ - char tangent_names[MAX_MTFACE][MAX_NAME]; - for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { - if ((cd_used->tan & (1 << i_src)) == 0) { - i_dst--; - } - else { - BLI_strncpy( - tangent_names[i_dst], - CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src), MAX_NAME); - } - } - - /* If tangent from orco is requested, decrement tangent_len */ - int actual_tangent_len = (cd_used->tan_orco != 0) ? - rdata->cd.layers.tangent_len - 1 : rdata->cd.layers.tangent_len; - if (rdata->edit_bmesh) { - BMEditMesh *em = rdata->edit_bmesh; - BMesh *bm = em->bm; - - if (is_auto_smooth && rdata->loop_normals == NULL) { - /* Should we store the previous array of `loop_normals` in somewhere? */ - rdata->loop_len = bm->totloop; - rdata->loop_normals = MEM_mallocN(sizeof(*rdata->loop_normals) * rdata->loop_len, __func__); - BM_loops_calc_normal_vcos(bm, NULL, NULL, NULL, true, split_angle, rdata->loop_normals, NULL, NULL, -1, false); - } - - bool calc_active_tangent = false; - - BKE_editmesh_loop_tangent_calc( - em, calc_active_tangent, - tangent_names, actual_tangent_len, - rdata->poly_normals, rdata->loop_normals, - rdata->orco, - &rdata->cd.output.ldata, bm->totloop, - &rdata->cd.output.tangent_mask); - } - else { + struct { + uint uv_len; + uint vcol_len; + } cd_layers_src = { + .uv_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPUV), + .vcol_len = CustomData_number_of_layers(cd_ldata, CD_MLOOPCOL), + }; + + rdata->cd.layers.uv_len = min_ii(cd_layers_src.uv_len, count_bits_i(cd_used->uv)); + rdata->cd.layers.tangent_len = count_bits_i(cd_used->tan) + cd_used->tan_orco; + rdata->cd.layers.vcol_len = min_ii(cd_layers_src.vcol_len, count_bits_i(cd_used->vcol)); + + rdata->cd.layers.uv = MEM_mallocN(sizeof(*rdata->cd.layers.uv) * rdata->cd.layers.uv_len, + __func__); + rdata->cd.layers.vcol = MEM_mallocN(sizeof(*rdata->cd.layers.vcol) * rdata->cd.layers.vcol_len, + __func__); + rdata->cd.layers.tangent = MEM_mallocN( + sizeof(*rdata->cd.layers.tangent) * rdata->cd.layers.tangent_len, __func__); + + rdata->cd.uuid.uv = MEM_mallocN(sizeof(*rdata->cd.uuid.uv) * rdata->cd.layers.uv_len, + __func__); + rdata->cd.uuid.vcol = MEM_mallocN(sizeof(*rdata->cd.uuid.vcol) * rdata->cd.layers.vcol_len, + __func__); + rdata->cd.uuid.tangent = MEM_mallocN( + sizeof(*rdata->cd.uuid.tangent) * rdata->cd.layers.tangent_len, __func__); + + rdata->cd.offset.uv = MEM_mallocN(sizeof(*rdata->cd.offset.uv) * rdata->cd.layers.uv_len, + __func__); + rdata->cd.offset.vcol = MEM_mallocN(sizeof(*rdata->cd.offset.vcol) * rdata->cd.layers.vcol_len, + __func__); + + /* Allocate max */ + rdata->cd.layers.auto_vcol = MEM_callocN( + sizeof(*rdata->cd.layers.auto_vcol) * rdata->cd.layers.vcol_len, __func__); + rdata->cd.uuid.auto_mix = MEM_mallocN( + sizeof(*rdata->cd.uuid.auto_mix) * (rdata->cd.layers.vcol_len + rdata->cd.layers.uv_len), + __func__); + + /* XXX FIXME XXX */ + /* We use a hash to identify each data layer based on its name. + * Gawain then search for this name in the current shader and bind if it exists. + * NOTE : This is prone to hash collision. + * One solution to hash collision would be to format the cd layer name + * to a safe glsl var name, but without name clash. + * NOTE 2 : Replicate changes to code_generate_vertex_new() in gpu_codegen.c */ + if (rdata->cd.layers.vcol_len != 0) { + int act_vcol = rdata->cd.layers.vcol_active; + for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.vcol_len; i_src++, i_dst++) { + if ((cd_used->vcol & (1 << i_src)) == 0) { + /* This is a non-used VCol slot. Skip. */ + i_dst--; + if (rdata->cd.layers.vcol_active >= i_src) { + act_vcol--; + } + } + else { + const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPCOL, i_src); + uint hash = BLI_ghashutil_strhash_p(name); + BLI_snprintf(rdata->cd.uuid.vcol[i_dst], sizeof(*rdata->cd.uuid.vcol), "c%u", hash); + rdata->cd.layers.vcol[i_dst] = CustomData_get_layer_n(cd_ldata, CD_MLOOPCOL, i_src); + if (rdata->edit_bmesh) { + rdata->cd.offset.vcol[i_dst] = CustomData_get_n_offset( + &rdata->edit_bmesh->bm->ldata, CD_MLOOPCOL, i_src); + } + + /* Gather number of auto layers. */ + /* We only do vcols that are not overridden by uvs */ + if (CustomData_get_named_layer_index(cd_ldata, CD_MLOOPUV, name) == -1) { + BLI_snprintf(rdata->cd.uuid.auto_mix[rdata->cd.layers.uv_len + i_dst], + sizeof(*rdata->cd.uuid.auto_mix), + "a%u", + hash); + rdata->cd.layers.auto_vcol[i_dst] = true; + } + } + } + if (rdata->cd.layers.vcol_active != -1) { + /* Actual active Vcol slot inside vcol layers used for shading. */ + rdata->cd.layers.vcol_active = act_vcol; + } + } + + /* Start Fresh */ + CustomData_free_layers(cd_ldata, CD_TANGENT, rdata->loop_len); + CustomData_free_layers(cd_ldata, CD_MLOOPTANGENT, rdata->loop_len); + + if (rdata->cd.layers.uv_len != 0) { + int act_uv = rdata->cd.layers.uv_active; + for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { + if ((cd_used->uv & (1 << i_src)) == 0) { + /* This is a non-used UV slot. Skip. */ + i_dst--; + if (rdata->cd.layers.uv_active >= i_src) { + act_uv--; + } + } + else { + const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src); + uint hash = BLI_ghashutil_strhash_p(name); + + BLI_snprintf(rdata->cd.uuid.uv[i_dst], sizeof(*rdata->cd.uuid.uv), "u%u", hash); + rdata->cd.layers.uv[i_dst] = CustomData_get_layer_n(cd_ldata, CD_MLOOPUV, i_src); + if (rdata->edit_bmesh) { + rdata->cd.offset.uv[i_dst] = CustomData_get_n_offset( + &rdata->edit_bmesh->bm->ldata, CD_MLOOPUV, i_src); + } + BLI_snprintf( + rdata->cd.uuid.auto_mix[i_dst], sizeof(*rdata->cd.uuid.auto_mix), "a%u", hash); + } + } + if (rdata->cd.layers.uv_active != -1) { + /* Actual active UV slot inside uv layers used for shading. */ + rdata->cd.layers.uv_active = act_uv; + } + } + + if (rdata->cd.layers.tangent_len != 0) { + + /* -------------------------------------------------------------------- */ + /* Pre-calculate tangents into 'rdata->cd.output.ldata' */ + + BLI_assert(!CustomData_has_layer(&rdata->cd.output.ldata, CD_TANGENT)); + + /* Tangent Names */ + char tangent_names[MAX_MTFACE][MAX_NAME]; + for (int i_src = 0, i_dst = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { + if ((cd_used->tan & (1 << i_src)) == 0) { + i_dst--; + } + else { + BLI_strncpy(tangent_names[i_dst], + CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src), + MAX_NAME); + } + } + + /* If tangent from orco is requested, decrement tangent_len */ + int actual_tangent_len = (cd_used->tan_orco != 0) ? rdata->cd.layers.tangent_len - 1 : + rdata->cd.layers.tangent_len; + if (rdata->edit_bmesh) { + BMEditMesh *em = rdata->edit_bmesh; + BMesh *bm = em->bm; + + if (is_auto_smooth && rdata->loop_normals == NULL) { + /* Should we store the previous array of `loop_normals` in somewhere? */ + rdata->loop_len = bm->totloop; + rdata->loop_normals = MEM_mallocN(sizeof(*rdata->loop_normals) * rdata->loop_len, + __func__); + BM_loops_calc_normal_vcos( + bm, NULL, NULL, NULL, true, split_angle, rdata->loop_normals, NULL, NULL, -1, false); + } + + bool calc_active_tangent = false; + + BKE_editmesh_loop_tangent_calc(em, + calc_active_tangent, + tangent_names, + actual_tangent_len, + rdata->poly_normals, + rdata->loop_normals, + rdata->orco, + &rdata->cd.output.ldata, + bm->totloop, + &rdata->cd.output.tangent_mask); + } + else { #undef me - if (is_auto_smooth && rdata->loop_normals == NULL) { - /* Should we store the previous array of `loop_normals` in CustomData? */ - mesh_render_calc_normals_loop_and_poly(me, split_angle, rdata); - } - - bool calc_active_tangent = false; - - BKE_mesh_calc_loop_tangent_ex( - me->mvert, - me->mpoly, me->totpoly, - me->mloop, - rdata->mlooptri, rdata->tri_len, - cd_ldata, - calc_active_tangent, - tangent_names, actual_tangent_len, - rdata->poly_normals, rdata->loop_normals, - rdata->orco, - &rdata->cd.output.ldata, me->totloop, - &rdata->cd.output.tangent_mask); - - /* If we store tangents in the mesh, set temporary. */ + if (is_auto_smooth && rdata->loop_normals == NULL) { + /* Should we store the previous array of `loop_normals` in CustomData? */ + mesh_render_calc_normals_loop_and_poly(me, split_angle, rdata); + } + + bool calc_active_tangent = false; + + BKE_mesh_calc_loop_tangent_ex(me->mvert, + me->mpoly, + me->totpoly, + me->mloop, + rdata->mlooptri, + rdata->tri_len, + cd_ldata, + calc_active_tangent, + tangent_names, + actual_tangent_len, + rdata->poly_normals, + rdata->loop_normals, + rdata->orco, + &rdata->cd.output.ldata, + me->totloop, + &rdata->cd.output.tangent_mask); + + /* If we store tangents in the mesh, set temporary. */ #if 0 - CustomData_set_layer_flag(cd_ldata, CD_TANGENT, CD_FLAG_TEMPORARY); + CustomData_set_layer_flag(cd_ldata, CD_TANGENT, CD_FLAG_TEMPORARY); #endif #define me DONT_USE_THIS -#ifdef me /* quiet warning */ +#ifdef me /* quiet warning */ #endif - } - - /* End tangent calculation */ - /* -------------------------------------------------------------------- */ - - BLI_assert(CustomData_number_of_layers(&rdata->cd.output.ldata, CD_TANGENT) == rdata->cd.layers.tangent_len); - - int i_dst = 0; - for (int i_src = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { - if ((cd_used->tan & (1 << i_src)) == 0) { - i_dst--; - if (rdata->cd.layers.tangent_active >= i_src) { - rdata->cd.layers.tangent_active--; - } - } - else { - const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src); - uint hash = BLI_ghashutil_strhash_p(name); - - BLI_snprintf(rdata->cd.uuid.tangent[i_dst], sizeof(*rdata->cd.uuid.tangent), "t%u", hash); - - /* Done adding tangents. */ - - /* note: BKE_editmesh_loop_tangent_calc calculates 'CD_TANGENT', - * not 'CD_MLOOPTANGENT' (as done below). It's OK, they're compatible. */ - - /* note: normally we'd use 'i_src' here, but 'i_dst' is in sync with 'rdata->cd.output' */ - rdata->cd.layers.tangent[i_dst] = CustomData_get_layer_n(&rdata->cd.output.ldata, CD_TANGENT, i_dst); - if (rdata->tri_len != 0) { - BLI_assert(rdata->cd.layers.tangent[i_dst] != NULL); - } - } - } - if (cd_used->tan_orco != 0) { - const char *name = CustomData_get_layer_name(&rdata->cd.output.ldata, CD_TANGENT, i_dst); - uint hash = BLI_ghashutil_strhash_p(name); - BLI_snprintf(rdata->cd.uuid.tangent[i_dst], sizeof(*rdata->cd.uuid.tangent), "t%u", hash); - - rdata->cd.layers.tangent[i_dst] = CustomData_get_layer_n(&rdata->cd.output.ldata, CD_TANGENT, i_dst); - } - } + } + + /* End tangent calculation */ + /* -------------------------------------------------------------------- */ + + BLI_assert(CustomData_number_of_layers(&rdata->cd.output.ldata, CD_TANGENT) == + rdata->cd.layers.tangent_len); + + int i_dst = 0; + for (int i_src = 0; i_src < cd_layers_src.uv_len; i_src++, i_dst++) { + if ((cd_used->tan & (1 << i_src)) == 0) { + i_dst--; + if (rdata->cd.layers.tangent_active >= i_src) { + rdata->cd.layers.tangent_active--; + } + } + else { + const char *name = CustomData_get_layer_name(cd_ldata, CD_MLOOPUV, i_src); + uint hash = BLI_ghashutil_strhash_p(name); + + BLI_snprintf( + rdata->cd.uuid.tangent[i_dst], sizeof(*rdata->cd.uuid.tangent), "t%u", hash); + + /* Done adding tangents. */ + + /* note: BKE_editmesh_loop_tangent_calc calculates 'CD_TANGENT', + * not 'CD_MLOOPTANGENT' (as done below). It's OK, they're compatible. */ + + /* note: normally we'd use 'i_src' here, but 'i_dst' is in sync with 'rdata->cd.output' */ + rdata->cd.layers.tangent[i_dst] = CustomData_get_layer_n( + &rdata->cd.output.ldata, CD_TANGENT, i_dst); + if (rdata->tri_len != 0) { + BLI_assert(rdata->cd.layers.tangent[i_dst] != NULL); + } + } + } + if (cd_used->tan_orco != 0) { + const char *name = CustomData_get_layer_name(&rdata->cd.output.ldata, CD_TANGENT, i_dst); + uint hash = BLI_ghashutil_strhash_p(name); + BLI_snprintf(rdata->cd.uuid.tangent[i_dst], sizeof(*rdata->cd.uuid.tangent), "t%u", hash); + + rdata->cd.layers.tangent[i_dst] = CustomData_get_layer_n( + &rdata->cd.output.ldata, CD_TANGENT, i_dst); + } + } #undef me - } + } - return rdata; + return rdata; } /* Warning replace mesh pointer. */ #define MBC_GET_FINAL_MESH(me) \ - /* Hack to show the final result. */ \ - const bool _use_em_final = ( \ - (me)->edit_mesh && \ - (me)->edit_mesh->mesh_eval_final && \ - ((me)->edit_mesh->mesh_eval_final->runtime.is_original == false)); \ - Mesh _me_fake; \ - if (_use_em_final) { \ - _me_fake = *(me)->edit_mesh->mesh_eval_final; \ - _me_fake.mat = (me)->mat; \ - _me_fake.totcol = (me)->totcol; \ - (me) = &_me_fake; \ - } ((void)0) + /* Hack to show the final result. */ \ + const bool _use_em_final = ((me)->edit_mesh && (me)->edit_mesh->mesh_eval_final && \ + ((me)->edit_mesh->mesh_eval_final->runtime.is_original == false)); \ + Mesh _me_fake; \ + if (_use_em_final) { \ + _me_fake = *(me)->edit_mesh->mesh_eval_final; \ + _me_fake.mat = (me)->mat; \ + _me_fake.totcol = (me)->totcol; \ + (me) = &_me_fake; \ + } \ + ((void)0) static void mesh_render_data_free(MeshRenderData *rdata) { - if (rdata->is_orco_allocated) { - MEM_SAFE_FREE(rdata->orco); - } - MEM_SAFE_FREE(rdata->cd.offset.uv); - MEM_SAFE_FREE(rdata->cd.offset.vcol); - MEM_SAFE_FREE(rdata->cd.uuid.auto_mix); - MEM_SAFE_FREE(rdata->cd.uuid.uv); - MEM_SAFE_FREE(rdata->cd.uuid.vcol); - MEM_SAFE_FREE(rdata->cd.uuid.tangent); - MEM_SAFE_FREE(rdata->cd.layers.uv); - MEM_SAFE_FREE(rdata->cd.layers.vcol); - MEM_SAFE_FREE(rdata->cd.layers.tangent); - MEM_SAFE_FREE(rdata->cd.layers.auto_vcol); - MEM_SAFE_FREE(rdata->loose_verts); - MEM_SAFE_FREE(rdata->loose_edges); - MEM_SAFE_FREE(rdata->edges_adjacent_polys); - MEM_SAFE_FREE(rdata->mlooptri); - MEM_SAFE_FREE(rdata->loop_normals); - MEM_SAFE_FREE(rdata->poly_normals); - MEM_SAFE_FREE(rdata->poly_normals_pack); - MEM_SAFE_FREE(rdata->vert_normals_pack); - MEM_SAFE_FREE(rdata->vert_weight); - MEM_SAFE_FREE(rdata->edge_select_bool); - MEM_SAFE_FREE(rdata->edge_visible_bool); - MEM_SAFE_FREE(rdata->vert_color); - - MEM_SAFE_FREE(rdata->mapped.loose_verts); - MEM_SAFE_FREE(rdata->mapped.loose_edges); - - CustomData_free(&rdata->cd.output.ldata, rdata->loop_len); - - MEM_freeN(rdata); + if (rdata->is_orco_allocated) { + MEM_SAFE_FREE(rdata->orco); + } + MEM_SAFE_FREE(rdata->cd.offset.uv); + MEM_SAFE_FREE(rdata->cd.offset.vcol); + MEM_SAFE_FREE(rdata->cd.uuid.auto_mix); + MEM_SAFE_FREE(rdata->cd.uuid.uv); + MEM_SAFE_FREE(rdata->cd.uuid.vcol); + MEM_SAFE_FREE(rdata->cd.uuid.tangent); + MEM_SAFE_FREE(rdata->cd.layers.uv); + MEM_SAFE_FREE(rdata->cd.layers.vcol); + MEM_SAFE_FREE(rdata->cd.layers.tangent); + MEM_SAFE_FREE(rdata->cd.layers.auto_vcol); + MEM_SAFE_FREE(rdata->loose_verts); + MEM_SAFE_FREE(rdata->loose_edges); + MEM_SAFE_FREE(rdata->edges_adjacent_polys); + MEM_SAFE_FREE(rdata->mlooptri); + MEM_SAFE_FREE(rdata->loop_normals); + MEM_SAFE_FREE(rdata->poly_normals); + MEM_SAFE_FREE(rdata->poly_normals_pack); + MEM_SAFE_FREE(rdata->vert_normals_pack); + MEM_SAFE_FREE(rdata->vert_weight); + MEM_SAFE_FREE(rdata->edge_select_bool); + MEM_SAFE_FREE(rdata->edge_visible_bool); + MEM_SAFE_FREE(rdata->vert_color); + + MEM_SAFE_FREE(rdata->mapped.loose_verts); + MEM_SAFE_FREE(rdata->mapped.loose_edges); + + CustomData_free(&rdata->cd.output.ldata, rdata->loop_len); + + MEM_freeN(rdata); } /** \} */ @@ -1192,125 +1227,126 @@ static void mesh_render_data_free(MeshRenderData *rdata) static const char *mesh_render_data_uv_auto_layer_uuid_get(const MeshRenderData *rdata, int layer) { - BLI_assert(rdata->types & MR_DATATYPE_SHADING); - return rdata->cd.uuid.auto_mix[layer]; + BLI_assert(rdata->types & MR_DATATYPE_SHADING); + return rdata->cd.uuid.auto_mix[layer]; } -static const char *mesh_render_data_vcol_auto_layer_uuid_get(const MeshRenderData *rdata, int layer) +static const char *mesh_render_data_vcol_auto_layer_uuid_get(const MeshRenderData *rdata, + int layer) { - BLI_assert(rdata->types & MR_DATATYPE_SHADING); - return rdata->cd.uuid.auto_mix[rdata->cd.layers.uv_len + layer]; + BLI_assert(rdata->types & MR_DATATYPE_SHADING); + return rdata->cd.uuid.auto_mix[rdata->cd.layers.uv_len + layer]; } static const char *mesh_render_data_uv_layer_uuid_get(const MeshRenderData *rdata, int layer) { - BLI_assert(rdata->types & MR_DATATYPE_SHADING); - return rdata->cd.uuid.uv[layer]; + BLI_assert(rdata->types & MR_DATATYPE_SHADING); + return rdata->cd.uuid.uv[layer]; } static const char *mesh_render_data_vcol_layer_uuid_get(const MeshRenderData *rdata, int layer) { - BLI_assert(rdata->types & MR_DATATYPE_SHADING); - return rdata->cd.uuid.vcol[layer]; + BLI_assert(rdata->types & MR_DATATYPE_SHADING); + return rdata->cd.uuid.vcol[layer]; } static const char *mesh_render_data_tangent_layer_uuid_get(const MeshRenderData *rdata, int layer) { - BLI_assert(rdata->types & MR_DATATYPE_SHADING); - return rdata->cd.uuid.tangent[layer]; + BLI_assert(rdata->types & MR_DATATYPE_SHADING); + return rdata->cd.uuid.tangent[layer]; } static int UNUSED_FUNCTION(mesh_render_data_verts_len_get)(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_VERT); - return rdata->vert_len; + BLI_assert(rdata->types & MR_DATATYPE_VERT); + return rdata->vert_len; } static int mesh_render_data_verts_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_VERT); - return ((rdata->mapped.use == false) ? rdata->vert_len : rdata->mapped.vert_len); + BLI_assert(rdata->types & MR_DATATYPE_VERT); + return ((rdata->mapped.use == false) ? rdata->vert_len : rdata->mapped.vert_len); } static int UNUSED_FUNCTION(mesh_render_data_loose_verts_len_get)(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOSE_VERT); - return rdata->loose_vert_len; + BLI_assert(rdata->types & MR_DATATYPE_LOOSE_VERT); + return rdata->loose_vert_len; } static int mesh_render_data_loose_verts_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOSE_VERT); - return ((rdata->mapped.use == false) ? rdata->loose_vert_len : rdata->mapped.loose_vert_len); + BLI_assert(rdata->types & MR_DATATYPE_LOOSE_VERT); + return ((rdata->mapped.use == false) ? rdata->loose_vert_len : rdata->mapped.loose_vert_len); } static int mesh_render_data_edges_len_get(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_EDGE); - return rdata->edge_len; + BLI_assert(rdata->types & MR_DATATYPE_EDGE); + return rdata->edge_len; } static int mesh_render_data_edges_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_EDGE); - return ((rdata->mapped.use == false) ? rdata->edge_len : rdata->mapped.edge_len); + BLI_assert(rdata->types & MR_DATATYPE_EDGE); + return ((rdata->mapped.use == false) ? rdata->edge_len : rdata->mapped.edge_len); } static int UNUSED_FUNCTION(mesh_render_data_loose_edges_len_get)(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOSE_EDGE); - return rdata->loose_edge_len; + BLI_assert(rdata->types & MR_DATATYPE_LOOSE_EDGE); + return rdata->loose_edge_len; } static int mesh_render_data_loose_edges_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOSE_EDGE); - return ((rdata->mapped.use == false) ? rdata->loose_edge_len : rdata->mapped.loose_edge_len); + BLI_assert(rdata->types & MR_DATATYPE_LOOSE_EDGE); + return ((rdata->mapped.use == false) ? rdata->loose_edge_len : rdata->mapped.loose_edge_len); } static int mesh_render_data_looptri_len_get(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOPTRI); - return rdata->tri_len; + BLI_assert(rdata->types & MR_DATATYPE_LOOPTRI); + return rdata->tri_len; } static int mesh_render_data_looptri_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOPTRI); - return ((rdata->mapped.use == false) ? rdata->tri_len : rdata->mapped.tri_len); + BLI_assert(rdata->types & MR_DATATYPE_LOOPTRI); + return ((rdata->mapped.use == false) ? rdata->tri_len : rdata->mapped.tri_len); } static int UNUSED_FUNCTION(mesh_render_data_mat_len_get)(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_POLY); - return rdata->mat_len; + BLI_assert(rdata->types & MR_DATATYPE_POLY); + return rdata->mat_len; } static int mesh_render_data_loops_len_get(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOP); - return rdata->loop_len; + BLI_assert(rdata->types & MR_DATATYPE_LOOP); + return rdata->loop_len; } static int mesh_render_data_loops_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_LOOP); - return ((rdata->mapped.use == false) ? rdata->loop_len : rdata->mapped.loop_len); + BLI_assert(rdata->types & MR_DATATYPE_LOOP); + return ((rdata->mapped.use == false) ? rdata->loop_len : rdata->mapped.loop_len); } static int mesh_render_data_polys_len_get(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_POLY); - return rdata->poly_len; + BLI_assert(rdata->types & MR_DATATYPE_POLY); + return rdata->poly_len; } static int mesh_render_data_polys_len_get_maybe_mapped(const MeshRenderData *rdata) { - BLI_assert(rdata->types & MR_DATATYPE_POLY); - return ((rdata->mapped.use == false) ? rdata->poly_len : rdata->mapped.poly_len); + BLI_assert(rdata->types & MR_DATATYPE_POLY); + return ((rdata->mapped.use == false) ? rdata->poly_len : rdata->mapped.poly_len); } /** \} */ - /* ---------------------------------------------------------------------- */ /* TODO remove prototype. */ -static void mesh_create_edit_facedots(MeshRenderData *rdata, GPUVertBuf *vbo_facedots_pos_nor_data); +static void mesh_create_edit_facedots(MeshRenderData *rdata, + GPUVertBuf *vbo_facedots_pos_nor_data); /** \name Internal Cache (Lazy Initialization) * \{ */ @@ -1318,217 +1354,229 @@ static void mesh_create_edit_facedots(MeshRenderData *rdata, GPUVertBuf *vbo_fac /** Ensure #MeshRenderData.poly_normals_pack */ static void mesh_render_data_ensure_poly_normals_pack(MeshRenderData *rdata) { - GPUPackedNormal *pnors_pack = rdata->poly_normals_pack; - if (pnors_pack == NULL) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter fiter; - BMFace *efa; - int i; - - pnors_pack = rdata->poly_normals_pack = MEM_mallocN(sizeof(*pnors_pack) * rdata->poly_len, __func__); - if (rdata->edit_data && rdata->edit_data->vertexCos != NULL) { - BKE_editmesh_cache_ensure_poly_normals(rdata->edit_bmesh, rdata->edit_data); - const float (*pnors)[3] = rdata->edit_data->polyNos; - for (i = 0; i < bm->totface; i++) { - pnors_pack[i] = GPU_normal_convert_i10_v3(pnors[i]); - } - } - else { - BM_ITER_MESH_INDEX(efa, &fiter, bm, BM_FACES_OF_MESH, i) { - pnors_pack[i] = GPU_normal_convert_i10_v3(efa->no); - } - } - } - else { - float (*pnors)[3] = rdata->poly_normals; - - if (!pnors) { - pnors = rdata->poly_normals = MEM_mallocN(sizeof(*pnors) * rdata->poly_len, __func__); - BKE_mesh_calc_normals_poly( - rdata->mvert, NULL, rdata->vert_len, - rdata->mloop, rdata->mpoly, rdata->loop_len, rdata->poly_len, pnors, true); - } - - pnors_pack = rdata->poly_normals_pack = MEM_mallocN(sizeof(*pnors_pack) * rdata->poly_len, __func__); - for (int i = 0; i < rdata->poly_len; i++) { - pnors_pack[i] = GPU_normal_convert_i10_v3(pnors[i]); - } - } - } + GPUPackedNormal *pnors_pack = rdata->poly_normals_pack; + if (pnors_pack == NULL) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter fiter; + BMFace *efa; + int i; + + pnors_pack = rdata->poly_normals_pack = MEM_mallocN(sizeof(*pnors_pack) * rdata->poly_len, + __func__); + if (rdata->edit_data && rdata->edit_data->vertexCos != NULL) { + BKE_editmesh_cache_ensure_poly_normals(rdata->edit_bmesh, rdata->edit_data); + const float(*pnors)[3] = rdata->edit_data->polyNos; + for (i = 0; i < bm->totface; i++) { + pnors_pack[i] = GPU_normal_convert_i10_v3(pnors[i]); + } + } + else { + BM_ITER_MESH_INDEX (efa, &fiter, bm, BM_FACES_OF_MESH, i) { + pnors_pack[i] = GPU_normal_convert_i10_v3(efa->no); + } + } + } + else { + float(*pnors)[3] = rdata->poly_normals; + + if (!pnors) { + pnors = rdata->poly_normals = MEM_mallocN(sizeof(*pnors) * rdata->poly_len, __func__); + BKE_mesh_calc_normals_poly(rdata->mvert, + NULL, + rdata->vert_len, + rdata->mloop, + rdata->mpoly, + rdata->loop_len, + rdata->poly_len, + pnors, + true); + } + + pnors_pack = rdata->poly_normals_pack = MEM_mallocN(sizeof(*pnors_pack) * rdata->poly_len, + __func__); + for (int i = 0; i < rdata->poly_len; i++) { + pnors_pack[i] = GPU_normal_convert_i10_v3(pnors[i]); + } + } + } } /** Ensure #MeshRenderData.vert_normals_pack */ static void mesh_render_data_ensure_vert_normals_pack(MeshRenderData *rdata) { - GPUPackedNormal *vnors_pack = rdata->vert_normals_pack; - if (vnors_pack == NULL) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter viter; - BMVert *eve; - int i; - - vnors_pack = rdata->vert_normals_pack = MEM_mallocN(sizeof(*vnors_pack) * rdata->vert_len, __func__); - BM_ITER_MESH_INDEX(eve, &viter, bm, BM_VERT, i) { - vnors_pack[i] = GPU_normal_convert_i10_v3(eve->no); - } - } - else { - /* data from mesh used directly */ - BLI_assert(0); - } - } + GPUPackedNormal *vnors_pack = rdata->vert_normals_pack; + if (vnors_pack == NULL) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter viter; + BMVert *eve; + int i; + + vnors_pack = rdata->vert_normals_pack = MEM_mallocN(sizeof(*vnors_pack) * rdata->vert_len, + __func__); + BM_ITER_MESH_INDEX (eve, &viter, bm, BM_VERT, i) { + vnors_pack[i] = GPU_normal_convert_i10_v3(eve->no); + } + } + else { + /* data from mesh used directly */ + BLI_assert(0); + } + } } - /** Ensure #MeshRenderData.vert_color */ static void UNUSED_FUNCTION(mesh_render_data_ensure_vert_color)(MeshRenderData *rdata) { - char (*vcol)[3] = rdata->vert_color; - if (vcol == NULL) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - const int cd_loop_color_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPCOL); - if (cd_loop_color_offset == -1) { - goto fallback; - } - - vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); - - BMIter fiter; - BMFace *efa; - int i = 0; - - BM_ITER_MESH(efa, &fiter, bm, BM_FACES_OF_MESH) { - BMLoop *l_iter, *l_first; - l_iter = l_first = BM_FACE_FIRST_LOOP(efa); - do { - const MLoopCol *lcol = BM_ELEM_CD_GET_VOID_P(l_iter, cd_loop_color_offset); - vcol[i][0] = lcol->r; - vcol[i][1] = lcol->g; - vcol[i][2] = lcol->b; - i += 1; - } while ((l_iter = l_iter->next) != l_first); - } - BLI_assert(i == rdata->loop_len); - } - else { - if (rdata->mloopcol == NULL) { - goto fallback; - } - - vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); - - for (int i = 0; i < rdata->loop_len; i++) { - vcol[i][0] = rdata->mloopcol[i].r; - vcol[i][1] = rdata->mloopcol[i].g; - vcol[i][2] = rdata->mloopcol[i].b; - } - } - } - return; + char(*vcol)[3] = rdata->vert_color; + if (vcol == NULL) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + const int cd_loop_color_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPCOL); + if (cd_loop_color_offset == -1) { + goto fallback; + } + + vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); + + BMIter fiter; + BMFace *efa; + int i = 0; + + BM_ITER_MESH (efa, &fiter, bm, BM_FACES_OF_MESH) { + BMLoop *l_iter, *l_first; + l_iter = l_first = BM_FACE_FIRST_LOOP(efa); + do { + const MLoopCol *lcol = BM_ELEM_CD_GET_VOID_P(l_iter, cd_loop_color_offset); + vcol[i][0] = lcol->r; + vcol[i][1] = lcol->g; + vcol[i][2] = lcol->b; + i += 1; + } while ((l_iter = l_iter->next) != l_first); + } + BLI_assert(i == rdata->loop_len); + } + else { + if (rdata->mloopcol == NULL) { + goto fallback; + } + + vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); + + for (int i = 0; i < rdata->loop_len; i++) { + vcol[i][0] = rdata->mloopcol[i].r; + vcol[i][1] = rdata->mloopcol[i].g; + vcol[i][2] = rdata->mloopcol[i].b; + } + } + } + return; fallback: - vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); + vcol = rdata->vert_color = MEM_mallocN(sizeof(*vcol) * rdata->loop_len, __func__); - for (int i = 0; i < rdata->loop_len; i++) { - vcol[i][0] = 255; - vcol[i][1] = 255; - vcol[i][2] = 255; - } + for (int i = 0; i < rdata->loop_len; i++) { + vcol[i][0] = 255; + vcol[i][1] = 255; + vcol[i][2] = 255; + } } static float evaluate_vertex_weight(const MDeformVert *dvert, const DRW_MeshWeightState *wstate) { - float input = 0.0f; - bool show_alert_color = false; - - if (wstate->flags & DRW_MESH_WEIGHT_STATE_MULTIPAINT) { - /* Multi-Paint feature */ - input = BKE_defvert_multipaint_collective_weight( - dvert, wstate->defgroup_len, wstate->defgroup_sel, wstate->defgroup_sel_count, - (wstate->flags & DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE) != 0); - - /* make it black if the selected groups have no weight on a vertex */ - if (input == 0.0f) { - show_alert_color = true; - } - } - else { - /* default, non tricky behavior */ - input = defvert_find_weight(dvert, wstate->defgroup_active); - - if (input == 0.0f) { - switch (wstate->alert_mode) { - case OB_DRAW_GROUPUSER_ACTIVE: - show_alert_color = true; - break; - - case OB_DRAW_GROUPUSER_ALL: - show_alert_color = defvert_is_weight_zero(dvert, wstate->defgroup_len); - break; - } - } - } - - if (show_alert_color) { - return -1.0f; - } - else { - CLAMP(input, 0.0f, 1.0f); - return input; - } + float input = 0.0f; + bool show_alert_color = false; + + if (wstate->flags & DRW_MESH_WEIGHT_STATE_MULTIPAINT) { + /* Multi-Paint feature */ + input = BKE_defvert_multipaint_collective_weight( + dvert, + wstate->defgroup_len, + wstate->defgroup_sel, + wstate->defgroup_sel_count, + (wstate->flags & DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE) != 0); + + /* make it black if the selected groups have no weight on a vertex */ + if (input == 0.0f) { + show_alert_color = true; + } + } + else { + /* default, non tricky behavior */ + input = defvert_find_weight(dvert, wstate->defgroup_active); + + if (input == 0.0f) { + switch (wstate->alert_mode) { + case OB_DRAW_GROUPUSER_ACTIVE: + show_alert_color = true; + break; + + case OB_DRAW_GROUPUSER_ALL: + show_alert_color = defvert_is_weight_zero(dvert, wstate->defgroup_len); + break; + } + } + } + + if (show_alert_color) { + return -1.0f; + } + else { + CLAMP(input, 0.0f, 1.0f); + return input; + } } /** Ensure #MeshRenderData.vert_weight */ -static void mesh_render_data_ensure_vert_weight(MeshRenderData *rdata, const struct DRW_MeshWeightState *wstate) +static void mesh_render_data_ensure_vert_weight(MeshRenderData *rdata, + const struct DRW_MeshWeightState *wstate) { - float *vweight = rdata->vert_weight; - if (vweight == NULL) { - if (wstate->defgroup_active == -1) { - goto fallback; - } - - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - const int cd_dvert_offset = CustomData_get_offset(&bm->vdata, CD_MDEFORMVERT); - if (cd_dvert_offset == -1) { - goto fallback; - } - - BMIter viter; - BMVert *eve; - int i; - - vweight = rdata->vert_weight = MEM_mallocN(sizeof(*vweight) * rdata->vert_len, __func__); - BM_ITER_MESH_INDEX(eve, &viter, bm, BM_VERT, i) { - const MDeformVert *dvert = BM_ELEM_CD_GET_VOID_P(eve, cd_dvert_offset); - vweight[i] = evaluate_vertex_weight(dvert, wstate); - } - } - else { - if (rdata->dvert == NULL) { - goto fallback; - } - - vweight = rdata->vert_weight = MEM_mallocN(sizeof(*vweight) * rdata->vert_len, __func__); - for (int i = 0; i < rdata->vert_len; i++) { - vweight[i] = evaluate_vertex_weight(&rdata->dvert[i], wstate); - } - } - } - return; + float *vweight = rdata->vert_weight; + if (vweight == NULL) { + if (wstate->defgroup_active == -1) { + goto fallback; + } + + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + const int cd_dvert_offset = CustomData_get_offset(&bm->vdata, CD_MDEFORMVERT); + if (cd_dvert_offset == -1) { + goto fallback; + } + + BMIter viter; + BMVert *eve; + int i; + + vweight = rdata->vert_weight = MEM_mallocN(sizeof(*vweight) * rdata->vert_len, __func__); + BM_ITER_MESH_INDEX (eve, &viter, bm, BM_VERT, i) { + const MDeformVert *dvert = BM_ELEM_CD_GET_VOID_P(eve, cd_dvert_offset); + vweight[i] = evaluate_vertex_weight(dvert, wstate); + } + } + else { + if (rdata->dvert == NULL) { + goto fallback; + } + + vweight = rdata->vert_weight = MEM_mallocN(sizeof(*vweight) * rdata->vert_len, __func__); + for (int i = 0; i < rdata->vert_len; i++) { + vweight[i] = evaluate_vertex_weight(&rdata->dvert[i], wstate); + } + } + } + return; fallback: - vweight = rdata->vert_weight = MEM_callocN(sizeof(*vweight) * rdata->vert_len, __func__); - - if ((wstate->defgroup_active < 0) && (wstate->defgroup_len > 0)) { - copy_vn_fl(vweight, rdata->vert_len, -2.0f); - } - else if (wstate->alert_mode != OB_DRAW_GROUPUSER_NONE) { - copy_vn_fl(vweight, rdata->vert_len, -1.0f); - } + vweight = rdata->vert_weight = MEM_callocN(sizeof(*vweight) * rdata->vert_len, __func__); + + if ((wstate->defgroup_active < 0) && (wstate->defgroup_len > 0)) { + copy_vn_fl(vweight, rdata->vert_len, -2.0f); + } + else if (wstate->alert_mode != OB_DRAW_GROUPUSER_NONE) { + copy_vn_fl(vweight, rdata->vert_len, -1.0f); + } } /** \} */ @@ -1539,205 +1587,211 @@ fallback: static uchar mesh_render_data_face_flag(MeshRenderData *rdata, const BMFace *efa, const int cd_ofs) { - uchar fflag = 0; - - if (efa == rdata->efa_act) { - fflag |= VFLAG_FACE_ACTIVE; - } - if (BM_elem_flag_test(efa, BM_ELEM_SELECT)) { - fflag |= VFLAG_FACE_SELECTED; - } - - if (efa == rdata->efa_act_uv) { - fflag |= VFLAG_FACE_UV_ACTIVE; - } - if ((cd_ofs != -1) && uvedit_face_select_test_ex(rdata->toolsettings, (BMFace *)efa, cd_ofs)) { - fflag |= VFLAG_FACE_UV_SELECT; - } + uchar fflag = 0; + + if (efa == rdata->efa_act) { + fflag |= VFLAG_FACE_ACTIVE; + } + if (BM_elem_flag_test(efa, BM_ELEM_SELECT)) { + fflag |= VFLAG_FACE_SELECTED; + } + + if (efa == rdata->efa_act_uv) { + fflag |= VFLAG_FACE_UV_ACTIVE; + } + if ((cd_ofs != -1) && uvedit_face_select_test_ex(rdata->toolsettings, (BMFace *)efa, cd_ofs)) { + fflag |= VFLAG_FACE_UV_SELECT; + } #ifdef WITH_FREESTYLE - if (rdata->cd.offset.freestyle_face != -1) { - const FreestyleFace *ffa = BM_ELEM_CD_GET_VOID_P(efa, rdata->cd.offset.freestyle_face); - if (ffa->flag & FREESTYLE_FACE_MARK) { - fflag |= VFLAG_FACE_FREESTYLE; - } - } + if (rdata->cd.offset.freestyle_face != -1) { + const FreestyleFace *ffa = BM_ELEM_CD_GET_VOID_P(efa, rdata->cd.offset.freestyle_face); + if (ffa->flag & FREESTYLE_FACE_MARK) { + fflag |= VFLAG_FACE_FREESTYLE; + } + } #endif - return fflag; + return fflag; } -static void mesh_render_data_edge_flag( - const MeshRenderData *rdata, const BMEdge *eed, - EdgeDrawAttr *eattr) +static void mesh_render_data_edge_flag(const MeshRenderData *rdata, + const BMEdge *eed, + EdgeDrawAttr *eattr) { - const ToolSettings *ts = rdata->toolsettings; - const bool is_vertex_select_mode = (ts != NULL) && (ts->selectmode & SCE_SELECT_VERTEX) != 0; - const bool is_face_only_select_mode = (ts != NULL) && (ts->selectmode == SCE_SELECT_FACE); - - if (eed == rdata->eed_act) { - eattr->e_flag |= VFLAG_EDGE_ACTIVE; - } - if (!is_vertex_select_mode && - BM_elem_flag_test(eed, BM_ELEM_SELECT)) - { - eattr->e_flag |= VFLAG_EDGE_SELECTED; - } - if (is_vertex_select_mode && - BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) && - BM_elem_flag_test(eed->v2, BM_ELEM_SELECT)) - { - eattr->e_flag |= VFLAG_EDGE_SELECTED; - eattr->e_flag |= VFLAG_VERT_SELECTED; - } - if (BM_elem_flag_test(eed, BM_ELEM_SEAM)) { - eattr->e_flag |= VFLAG_EDGE_SEAM; - } - if (!BM_elem_flag_test(eed, BM_ELEM_SMOOTH)) { - eattr->e_flag |= VFLAG_EDGE_SHARP; - } - - /* Use active edge color for active face edges because - * specular highlights make it hard to see T55456#510873. - * - * This isn't ideal since it can't be used when mixing edge/face modes + const ToolSettings *ts = rdata->toolsettings; + const bool is_vertex_select_mode = (ts != NULL) && (ts->selectmode & SCE_SELECT_VERTEX) != 0; + const bool is_face_only_select_mode = (ts != NULL) && (ts->selectmode == SCE_SELECT_FACE); + + if (eed == rdata->eed_act) { + eattr->e_flag |= VFLAG_EDGE_ACTIVE; + } + if (!is_vertex_select_mode && BM_elem_flag_test(eed, BM_ELEM_SELECT)) { + eattr->e_flag |= VFLAG_EDGE_SELECTED; + } + if (is_vertex_select_mode && BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) && + BM_elem_flag_test(eed->v2, BM_ELEM_SELECT)) { + eattr->e_flag |= VFLAG_EDGE_SELECTED; + eattr->e_flag |= VFLAG_VERT_SELECTED; + } + if (BM_elem_flag_test(eed, BM_ELEM_SEAM)) { + eattr->e_flag |= VFLAG_EDGE_SEAM; + } + if (!BM_elem_flag_test(eed, BM_ELEM_SMOOTH)) { + eattr->e_flag |= VFLAG_EDGE_SHARP; + } + + /* Use active edge color for active face edges because + * specular highlights make it hard to see T55456#510873. + * + * This isn't ideal since it can't be used when mixing edge/face modes * but it's still better then not being able to see the active face. */ - if (is_face_only_select_mode) { - if (rdata->efa_act != NULL) { - if (BM_edge_in_face(eed, rdata->efa_act)) { - eattr->e_flag |= VFLAG_EDGE_ACTIVE; - } - } - } - - /* Use a byte for value range */ - if (rdata->cd.offset.crease != -1) { - float crease = BM_ELEM_CD_GET_FLOAT(eed, rdata->cd.offset.crease); - if (crease > 0) { - eattr->crease = (uchar)(crease * 255.0f); - } - } - /* Use a byte for value range */ - if (rdata->cd.offset.bweight != -1) { - float bweight = BM_ELEM_CD_GET_FLOAT(eed, rdata->cd.offset.bweight); - if (bweight > 0) { - eattr->bweight = (uchar)(bweight * 255.0f); - } - } + if (is_face_only_select_mode) { + if (rdata->efa_act != NULL) { + if (BM_edge_in_face(eed, rdata->efa_act)) { + eattr->e_flag |= VFLAG_EDGE_ACTIVE; + } + } + } + + /* Use a byte for value range */ + if (rdata->cd.offset.crease != -1) { + float crease = BM_ELEM_CD_GET_FLOAT(eed, rdata->cd.offset.crease); + if (crease > 0) { + eattr->crease = (uchar)(crease * 255.0f); + } + } + /* Use a byte for value range */ + if (rdata->cd.offset.bweight != -1) { + float bweight = BM_ELEM_CD_GET_FLOAT(eed, rdata->cd.offset.bweight); + if (bweight > 0) { + eattr->bweight = (uchar)(bweight * 255.0f); + } + } #ifdef WITH_FREESTYLE - if (rdata->cd.offset.freestyle_edge != -1) { - const FreestyleEdge *fed = BM_ELEM_CD_GET_VOID_P(eed, rdata->cd.offset.freestyle_edge); - if (fed->flag & FREESTYLE_EDGE_MARK) { - eattr->e_flag |= VFLAG_EDGE_FREESTYLE; - } - } + if (rdata->cd.offset.freestyle_edge != -1) { + const FreestyleEdge *fed = BM_ELEM_CD_GET_VOID_P(eed, rdata->cd.offset.freestyle_edge); + if (fed->flag & FREESTYLE_EDGE_MARK) { + eattr->e_flag |= VFLAG_EDGE_FREESTYLE; + } + } #endif } -static void mesh_render_data_loop_flag(MeshRenderData *rdata, BMLoop *loop, const int cd_ofs, EdgeDrawAttr *eattr) +static void mesh_render_data_loop_flag(MeshRenderData *rdata, + BMLoop *loop, + const int cd_ofs, + EdgeDrawAttr *eattr) { - if (cd_ofs == -1) { - return; - } - MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(loop, cd_ofs); - if (luv != NULL && (luv->flag & MLOOPUV_PINNED)) { - eattr->v_flag |= VFLAG_VERT_UV_PINNED; - } - if (uvedit_uv_select_test_ex(rdata->toolsettings, loop, cd_ofs)) { - eattr->v_flag |= VFLAG_VERT_UV_SELECT; - } - if (uvedit_edge_select_test_ex(rdata->toolsettings, loop, cd_ofs)) { - eattr->v_flag |= VFLAG_EDGE_UV_SELECT; - } + if (cd_ofs == -1) { + return; + } + MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(loop, cd_ofs); + if (luv != NULL && (luv->flag & MLOOPUV_PINNED)) { + eattr->v_flag |= VFLAG_VERT_UV_PINNED; + } + if (uvedit_uv_select_test_ex(rdata->toolsettings, loop, cd_ofs)) { + eattr->v_flag |= VFLAG_VERT_UV_SELECT; + } + if (uvedit_edge_select_test_ex(rdata->toolsettings, loop, cd_ofs)) { + eattr->v_flag |= VFLAG_EDGE_UV_SELECT; + } } -static void mesh_render_data_vert_flag(MeshRenderData *rdata, const BMVert *eve, EdgeDrawAttr *eattr) +static void mesh_render_data_vert_flag(MeshRenderData *rdata, + const BMVert *eve, + EdgeDrawAttr *eattr) { - if (eve == rdata->eve_act) { - eattr->e_flag |= VFLAG_VERT_ACTIVE; - } - if (BM_elem_flag_test(eve, BM_ELEM_SELECT)) { - eattr->e_flag |= VFLAG_VERT_SELECTED; - } + if (eve == rdata->eve_act) { + eattr->e_flag |= VFLAG_VERT_ACTIVE; + } + if (BM_elem_flag_test(eve, BM_ELEM_SELECT)) { + eattr->e_flag |= VFLAG_VERT_SELECTED; + } } -static bool add_edit_facedot( - MeshRenderData *rdata, GPUVertBuf *vbo, - const uint fdot_pos_id, const uint fdot_nor_flag_id, - const int poly, const int base_vert_idx) +static bool add_edit_facedot(MeshRenderData *rdata, + GPUVertBuf *vbo, + const uint fdot_pos_id, + const uint fdot_nor_flag_id, + const int poly, + const int base_vert_idx) { - BLI_assert(rdata->types & (MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY)); - float pnor[3], center[3]; - int facedot_flag; - if (rdata->edit_bmesh) { - BMEditMesh *em = rdata->edit_bmesh; - const BMFace *efa = BM_face_at_index(em->bm, poly); - if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - return false; - } - if (rdata->edit_data && rdata->edit_data->vertexCos) { - copy_v3_v3(center, rdata->edit_data->polyCos[poly]); - copy_v3_v3(pnor, rdata->edit_data->polyNos[poly]); - } - else { - BM_face_calc_center_median(efa, center); - copy_v3_v3(pnor, efa->no); - } - facedot_flag = BM_elem_flag_test(efa, BM_ELEM_SELECT) ? ((efa == em->bm->act_face) ? -1 : 1) : 0; - } - else { - MVert *mvert = rdata->mvert; - const MPoly *mpoly = rdata->mpoly + poly; - const MLoop *mloop = rdata->mloop + mpoly->loopstart; - - BKE_mesh_calc_poly_center(mpoly, mloop, mvert, center); - BKE_mesh_calc_poly_normal(mpoly, mloop, mvert, pnor); - /* No selection if not in edit mode. */ - facedot_flag = 0; - } - - GPUPackedNormal nor = GPU_normal_convert_i10_v3(pnor); - nor.w = facedot_flag; - GPU_vertbuf_attr_set(vbo, fdot_nor_flag_id, base_vert_idx, &nor); - GPU_vertbuf_attr_set(vbo, fdot_pos_id, base_vert_idx, center); - - return true; + BLI_assert(rdata->types & (MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY)); + float pnor[3], center[3]; + int facedot_flag; + if (rdata->edit_bmesh) { + BMEditMesh *em = rdata->edit_bmesh; + const BMFace *efa = BM_face_at_index(em->bm, poly); + if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + return false; + } + if (rdata->edit_data && rdata->edit_data->vertexCos) { + copy_v3_v3(center, rdata->edit_data->polyCos[poly]); + copy_v3_v3(pnor, rdata->edit_data->polyNos[poly]); + } + else { + BM_face_calc_center_median(efa, center); + copy_v3_v3(pnor, efa->no); + } + facedot_flag = BM_elem_flag_test(efa, BM_ELEM_SELECT) ? ((efa == em->bm->act_face) ? -1 : 1) : + 0; + } + else { + MVert *mvert = rdata->mvert; + const MPoly *mpoly = rdata->mpoly + poly; + const MLoop *mloop = rdata->mloop + mpoly->loopstart; + + BKE_mesh_calc_poly_center(mpoly, mloop, mvert, center); + BKE_mesh_calc_poly_normal(mpoly, mloop, mvert, pnor); + /* No selection if not in edit mode. */ + facedot_flag = 0; + } + + GPUPackedNormal nor = GPU_normal_convert_i10_v3(pnor); + nor.w = facedot_flag; + GPU_vertbuf_attr_set(vbo, fdot_nor_flag_id, base_vert_idx, &nor); + GPU_vertbuf_attr_set(vbo, fdot_pos_id, base_vert_idx, center); + + return true; } -static bool add_edit_facedot_mapped( - MeshRenderData *rdata, GPUVertBuf *vbo, - const uint fdot_pos_id, const uint fdot_nor_flag_id, - const int poly, const int base_vert_idx) +static bool add_edit_facedot_mapped(MeshRenderData *rdata, + GPUVertBuf *vbo, + const uint fdot_pos_id, + const uint fdot_nor_flag_id, + const int poly, + const int base_vert_idx) { - BLI_assert(rdata->types & (MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY)); - float pnor[3], center[3]; - const int *p_origindex = rdata->mapped.p_origindex; - const int p_orig = p_origindex[poly]; - if (p_orig == ORIGINDEX_NONE) { - return false; - } - BMEditMesh *em = rdata->edit_bmesh; - const BMFace *efa = BM_face_at_index(em->bm, p_orig); - if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - return false; - } - - Mesh *me_cage = em->mesh_eval_cage; - const MVert *mvert = me_cage->mvert; - const MLoop *mloop = me_cage->mloop; - const MPoly *mpoly = me_cage->mpoly; - - const MPoly *mp = mpoly + poly; - const MLoop *ml = mloop + mp->loopstart; - - BKE_mesh_calc_poly_center(mp, ml, mvert, center); - BKE_mesh_calc_poly_normal(mp, ml, mvert, pnor); - - GPUPackedNormal nor = GPU_normal_convert_i10_v3(pnor); - nor.w = BM_elem_flag_test(efa, BM_ELEM_SELECT) ? ((efa == em->bm->act_face) ? -1 : 1) : 0; - GPU_vertbuf_attr_set(vbo, fdot_nor_flag_id, base_vert_idx, &nor); - GPU_vertbuf_attr_set(vbo, fdot_pos_id, base_vert_idx, center); - - return true; + BLI_assert(rdata->types & (MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY)); + float pnor[3], center[3]; + const int *p_origindex = rdata->mapped.p_origindex; + const int p_orig = p_origindex[poly]; + if (p_orig == ORIGINDEX_NONE) { + return false; + } + BMEditMesh *em = rdata->edit_bmesh; + const BMFace *efa = BM_face_at_index(em->bm, p_orig); + if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + return false; + } + + Mesh *me_cage = em->mesh_eval_cage; + const MVert *mvert = me_cage->mvert; + const MLoop *mloop = me_cage->mloop; + const MPoly *mpoly = me_cage->mpoly; + + const MPoly *mp = mpoly + poly; + const MLoop *ml = mloop + mp->loopstart; + + BKE_mesh_calc_poly_center(mp, ml, mvert, center); + BKE_mesh_calc_poly_normal(mp, ml, mvert, pnor); + + GPUPackedNormal nor = GPU_normal_convert_i10_v3(pnor); + nor.w = BM_elem_flag_test(efa, BM_ELEM_SELECT) ? ((efa == em->bm->act_face) ? -1 : 1) : 0; + GPU_vertbuf_attr_set(vbo, fdot_nor_flag_id, base_vert_idx, &nor); + GPU_vertbuf_attr_set(vbo, fdot_pos_id, base_vert_idx, center); + + return true; } /** \} */ @@ -1749,70 +1803,76 @@ static bool add_edit_facedot_mapped( /** Reset the selection structure, deallocating heap memory as appropriate. */ static void drw_mesh_weight_state_clear(struct DRW_MeshWeightState *wstate) { - MEM_SAFE_FREE(wstate->defgroup_sel); + MEM_SAFE_FREE(wstate->defgroup_sel); - memset(wstate, 0, sizeof(*wstate)); + memset(wstate, 0, sizeof(*wstate)); - wstate->defgroup_active = -1; + wstate->defgroup_active = -1; } /** Copy selection data from one structure to another, including heap memory. */ -static void drw_mesh_weight_state_copy( - struct DRW_MeshWeightState *wstate_dst, const struct DRW_MeshWeightState *wstate_src) +static void drw_mesh_weight_state_copy(struct DRW_MeshWeightState *wstate_dst, + const struct DRW_MeshWeightState *wstate_src) { - MEM_SAFE_FREE(wstate_dst->defgroup_sel); + MEM_SAFE_FREE(wstate_dst->defgroup_sel); - memcpy(wstate_dst, wstate_src, sizeof(*wstate_dst)); + memcpy(wstate_dst, wstate_src, sizeof(*wstate_dst)); - if (wstate_src->defgroup_sel) { - wstate_dst->defgroup_sel = MEM_dupallocN(wstate_src->defgroup_sel); - } + if (wstate_src->defgroup_sel) { + wstate_dst->defgroup_sel = MEM_dupallocN(wstate_src->defgroup_sel); + } } /** Compare two selection structures. */ -static bool drw_mesh_weight_state_compare(const struct DRW_MeshWeightState *a, const struct DRW_MeshWeightState *b) +static bool drw_mesh_weight_state_compare(const struct DRW_MeshWeightState *a, + const struct DRW_MeshWeightState *b) { - return a->defgroup_active == b->defgroup_active && - a->defgroup_len == b->defgroup_len && - a->flags == b->flags && - a->alert_mode == b->alert_mode && - a->defgroup_sel_count == b->defgroup_sel_count && - ((!a->defgroup_sel && !b->defgroup_sel) || - (a->defgroup_sel && b->defgroup_sel && - memcmp(a->defgroup_sel, b->defgroup_sel, a->defgroup_len * sizeof(bool)) == 0)); + return a->defgroup_active == b->defgroup_active && a->defgroup_len == b->defgroup_len && + a->flags == b->flags && a->alert_mode == b->alert_mode && + a->defgroup_sel_count == b->defgroup_sel_count && + ((!a->defgroup_sel && !b->defgroup_sel) || + (a->defgroup_sel && b->defgroup_sel && + memcmp(a->defgroup_sel, b->defgroup_sel, a->defgroup_len * sizeof(bool)) == 0)); } -static void drw_mesh_weight_state_extract( - Object *ob, Mesh *me, const ToolSettings *ts, bool paint_mode, - struct DRW_MeshWeightState *wstate) +static void drw_mesh_weight_state_extract(Object *ob, + Mesh *me, + const ToolSettings *ts, + bool paint_mode, + struct DRW_MeshWeightState *wstate) { - /* Extract complete vertex weight group selection state and mode flags. */ - memset(wstate, 0, sizeof(*wstate)); - - wstate->defgroup_active = ob->actdef - 1; - wstate->defgroup_len = BLI_listbase_count(&ob->defbase); - - wstate->alert_mode = ts->weightuser; - - if (paint_mode && ts->multipaint) { - /* Multipaint needs to know all selected bones, not just the active group. - * This is actually a relatively expensive operation, but caching would be difficult. */ - wstate->defgroup_sel = BKE_object_defgroup_selected_get(ob, wstate->defgroup_len, &wstate->defgroup_sel_count); - - if (wstate->defgroup_sel_count > 1) { - wstate->flags |= DRW_MESH_WEIGHT_STATE_MULTIPAINT | (ts->auto_normalize ? DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE : 0); - - if (me->editflag & ME_EDIT_MIRROR_X) { - BKE_object_defgroup_mirror_selection( - ob, wstate->defgroup_len, wstate->defgroup_sel, wstate->defgroup_sel, &wstate->defgroup_sel_count); - } - } - /* With only one selected bone Multipaint reverts to regular mode. */ - else { - wstate->defgroup_sel_count = 0; - MEM_SAFE_FREE(wstate->defgroup_sel); - } - } + /* Extract complete vertex weight group selection state and mode flags. */ + memset(wstate, 0, sizeof(*wstate)); + + wstate->defgroup_active = ob->actdef - 1; + wstate->defgroup_len = BLI_listbase_count(&ob->defbase); + + wstate->alert_mode = ts->weightuser; + + if (paint_mode && ts->multipaint) { + /* Multipaint needs to know all selected bones, not just the active group. + * This is actually a relatively expensive operation, but caching would be difficult. */ + wstate->defgroup_sel = BKE_object_defgroup_selected_get( + ob, wstate->defgroup_len, &wstate->defgroup_sel_count); + + if (wstate->defgroup_sel_count > 1) { + wstate->flags |= DRW_MESH_WEIGHT_STATE_MULTIPAINT | + (ts->auto_normalize ? DRW_MESH_WEIGHT_STATE_AUTO_NORMALIZE : 0); + + if (me->editflag & ME_EDIT_MIRROR_X) { + BKE_object_defgroup_mirror_selection(ob, + wstate->defgroup_len, + wstate->defgroup_sel, + wstate->defgroup_sel, + &wstate->defgroup_sel_count); + } + } + /* With only one selected bone Multipaint reverts to regular mode. */ + else { + wstate->defgroup_sel_count = 0; + MEM_SAFE_FREE(wstate->defgroup_sel); + } + } } /** \} */ @@ -1822,1318 +1882,1352 @@ static void drw_mesh_weight_state_extract( * \{ */ typedef struct MeshBatchCache { - /* In order buffers: All verts only specified once - * or once per loop. To be used with a GPUIndexBuf. */ - struct { - /* Vertex data. */ - GPUVertBuf *pos_nor; - GPUVertBuf *weights; - /* Loop data. */ - GPUVertBuf *loop_pos_nor; - GPUVertBuf *loop_uv_tan; - GPUVertBuf *loop_vcol; - GPUVertBuf *loop_edge_fac; - GPUVertBuf *loop_orco; - } ordered; - - /* Edit Mesh Data: - * Edit cage can be different from final mesh so vertex count - * might differ. */ - struct { - /* TODO(fclem): Reuse ordered.loop_pos_nor and maybe even - * ordered.loop_uv_tan when cage match final mesh. */ - GPUVertBuf *loop_pos_nor; - GPUVertBuf *loop_data; - GPUVertBuf *loop_lnor; - GPUVertBuf *facedots_pos_nor_data; - /* UV data without modifier applied. - * Vertex count is always the one of the cage. */ - GPUVertBuf *loop_uv; - GPUVertBuf *loop_uv_data; - GPUVertBuf *loop_stretch_angle; - GPUVertBuf *loop_stretch_area; - GPUVertBuf *facedots_uv; - GPUVertBuf *facedots_uv_data; - /* Selection */ - GPUVertBuf *loop_vert_idx; - GPUVertBuf *loop_edge_idx; - GPUVertBuf *loop_face_idx; - GPUVertBuf *facedots_idx; - } edit; - - /* Index Buffers: - * Only need to be updated when topology changes. */ - struct { - /* Indices to verts. */ - GPUIndexBuf *surf_tris; - GPUIndexBuf *edges_lines; - GPUIndexBuf *edges_adj_lines; - GPUIndexBuf *loose_edges_lines; - /* Indices to vloops. */ - GPUIndexBuf *loops_tris; - GPUIndexBuf *loops_lines; - GPUIndexBuf *loops_line_strips; - /* Edit mode. */ - GPUIndexBuf *edit_loops_points; /* verts */ - GPUIndexBuf *edit_loops_lines; /* edges */ - GPUIndexBuf *edit_loops_tris; /* faces */ - /* Edit UVs */ - GPUIndexBuf *edituv_loops_points; /* verts */ - GPUIndexBuf *edituv_loops_line_strips; /* edges */ - GPUIndexBuf *edituv_loops_tri_fans; /* faces */ - } ibo; - - struct { - /* Surfaces / Render */ - GPUBatch *surface; - GPUBatch *surface_weights; - /* Edit mode */ - GPUBatch *edit_triangles; - GPUBatch *edit_vertices; - GPUBatch *edit_edges; - GPUBatch *edit_lnor; - GPUBatch *edit_facedots; - /* Edit UVs */ - GPUBatch *edituv_faces_strech_area; - GPUBatch *edituv_faces_strech_angle; - GPUBatch *edituv_faces; - GPUBatch *edituv_edges; - GPUBatch *edituv_verts; - GPUBatch *edituv_facedots; - /* Edit selection */ - GPUBatch *edit_selection_verts; - GPUBatch *edit_selection_edges; - GPUBatch *edit_selection_faces; - GPUBatch *edit_selection_facedots; - /* Common display / Other */ - GPUBatch *all_verts; - GPUBatch *all_edges; - GPUBatch *loose_edges; - GPUBatch *edge_detection; - GPUBatch *wire_edges; /* Individual edges with face normals. */ - GPUBatch *wire_loops; /* Loops around faces. */ - GPUBatch *wire_loops_uvs; /* Same as wire_loops but only has uvs. */ - } batch; - - GPUIndexBuf **surf_per_mat_tris; - GPUBatch **surf_per_mat; - - /* arrays of bool uniform names (and value) that will be use to - * set srgb conversion for auto attributes.*/ - char *auto_layer_names; - int *auto_layer_is_srgb; - int auto_layer_len; - - /* settings to determine if cache is invalid */ - bool is_maybe_dirty; - bool is_dirty; /* Instantly invalidates cache, skipping mesh check */ - int edge_len; - int tri_len; - int poly_len; - int vert_len; - int mat_len; - bool is_editmode; - bool is_uvsyncsel; - - struct DRW_MeshWeightState weight_state; - - DRW_MeshCDMask cd_used, cd_needed; - - /* XXX, only keep for as long as sculpt mode uses shaded drawing. */ - bool is_sculpt_points_tag; - - /* Valid only if edge_detection is up to date. */ - bool is_manifold; + /* In order buffers: All verts only specified once + * or once per loop. To be used with a GPUIndexBuf. */ + struct { + /* Vertex data. */ + GPUVertBuf *pos_nor; + GPUVertBuf *weights; + /* Loop data. */ + GPUVertBuf *loop_pos_nor; + GPUVertBuf *loop_uv_tan; + GPUVertBuf *loop_vcol; + GPUVertBuf *loop_edge_fac; + GPUVertBuf *loop_orco; + } ordered; + + /* Edit Mesh Data: + * Edit cage can be different from final mesh so vertex count + * might differ. */ + struct { + /* TODO(fclem): Reuse ordered.loop_pos_nor and maybe even + * ordered.loop_uv_tan when cage match final mesh. */ + GPUVertBuf *loop_pos_nor; + GPUVertBuf *loop_data; + GPUVertBuf *loop_lnor; + GPUVertBuf *facedots_pos_nor_data; + /* UV data without modifier applied. + * Vertex count is always the one of the cage. */ + GPUVertBuf *loop_uv; + GPUVertBuf *loop_uv_data; + GPUVertBuf *loop_stretch_angle; + GPUVertBuf *loop_stretch_area; + GPUVertBuf *facedots_uv; + GPUVertBuf *facedots_uv_data; + /* Selection */ + GPUVertBuf *loop_vert_idx; + GPUVertBuf *loop_edge_idx; + GPUVertBuf *loop_face_idx; + GPUVertBuf *facedots_idx; + } edit; + + /* Index Buffers: + * Only need to be updated when topology changes. */ + struct { + /* Indices to verts. */ + GPUIndexBuf *surf_tris; + GPUIndexBuf *edges_lines; + GPUIndexBuf *edges_adj_lines; + GPUIndexBuf *loose_edges_lines; + /* Indices to vloops. */ + GPUIndexBuf *loops_tris; + GPUIndexBuf *loops_lines; + GPUIndexBuf *loops_line_strips; + /* Edit mode. */ + GPUIndexBuf *edit_loops_points; /* verts */ + GPUIndexBuf *edit_loops_lines; /* edges */ + GPUIndexBuf *edit_loops_tris; /* faces */ + /* Edit UVs */ + GPUIndexBuf *edituv_loops_points; /* verts */ + GPUIndexBuf *edituv_loops_line_strips; /* edges */ + GPUIndexBuf *edituv_loops_tri_fans; /* faces */ + } ibo; + + struct { + /* Surfaces / Render */ + GPUBatch *surface; + GPUBatch *surface_weights; + /* Edit mode */ + GPUBatch *edit_triangles; + GPUBatch *edit_vertices; + GPUBatch *edit_edges; + GPUBatch *edit_lnor; + GPUBatch *edit_facedots; + /* Edit UVs */ + GPUBatch *edituv_faces_strech_area; + GPUBatch *edituv_faces_strech_angle; + GPUBatch *edituv_faces; + GPUBatch *edituv_edges; + GPUBatch *edituv_verts; + GPUBatch *edituv_facedots; + /* Edit selection */ + GPUBatch *edit_selection_verts; + GPUBatch *edit_selection_edges; + GPUBatch *edit_selection_faces; + GPUBatch *edit_selection_facedots; + /* Common display / Other */ + GPUBatch *all_verts; + GPUBatch *all_edges; + GPUBatch *loose_edges; + GPUBatch *edge_detection; + GPUBatch *wire_edges; /* Individual edges with face normals. */ + GPUBatch *wire_loops; /* Loops around faces. */ + GPUBatch *wire_loops_uvs; /* Same as wire_loops but only has uvs. */ + } batch; + + GPUIndexBuf **surf_per_mat_tris; + GPUBatch **surf_per_mat; + + /* arrays of bool uniform names (and value) that will be use to + * set srgb conversion for auto attributes.*/ + char *auto_layer_names; + int *auto_layer_is_srgb; + int auto_layer_len; + + /* settings to determine if cache is invalid */ + bool is_maybe_dirty; + bool is_dirty; /* Instantly invalidates cache, skipping mesh check */ + int edge_len; + int tri_len; + int poly_len; + int vert_len; + int mat_len; + bool is_editmode; + bool is_uvsyncsel; + + struct DRW_MeshWeightState weight_state; + + DRW_MeshCDMask cd_used, cd_needed; + + /* XXX, only keep for as long as sculpt mode uses shaded drawing. */ + bool is_sculpt_points_tag; + + /* Valid only if edge_detection is up to date. */ + bool is_manifold; } MeshBatchCache; /* GPUBatch cache management. */ static bool mesh_batch_cache_valid(Mesh *me) { - MeshBatchCache *cache = me->runtime.batch_cache; - - if (cache == NULL) { - return false; - } - - if (cache->mat_len != mesh_render_mat_len_get(me)) { - return false; - } - - if (cache->is_editmode != (me->edit_mesh != NULL)) { - return false; - } - - if (cache->is_dirty) { - return false; - } - - if (cache->is_maybe_dirty == false) { - return true; - } - else { - if (cache->is_editmode) { - return false; - } - else if ((cache->vert_len != mesh_render_verts_len_get(me)) || - (cache->edge_len != mesh_render_edges_len_get(me)) || - (cache->tri_len != mesh_render_looptri_len_get(me)) || - (cache->poly_len != mesh_render_polys_len_get(me)) || - (cache->mat_len != mesh_render_mat_len_get(me))) - { - return false; - } - } - - return true; + MeshBatchCache *cache = me->runtime.batch_cache; + + if (cache == NULL) { + return false; + } + + if (cache->mat_len != mesh_render_mat_len_get(me)) { + return false; + } + + if (cache->is_editmode != (me->edit_mesh != NULL)) { + return false; + } + + if (cache->is_dirty) { + return false; + } + + if (cache->is_maybe_dirty == false) { + return true; + } + else { + if (cache->is_editmode) { + return false; + } + else if ((cache->vert_len != mesh_render_verts_len_get(me)) || + (cache->edge_len != mesh_render_edges_len_get(me)) || + (cache->tri_len != mesh_render_looptri_len_get(me)) || + (cache->poly_len != mesh_render_polys_len_get(me)) || + (cache->mat_len != mesh_render_mat_len_get(me))) { + return false; + } + } + + return true; } static void mesh_batch_cache_init(Mesh *me) { - MeshBatchCache *cache = me->runtime.batch_cache; + MeshBatchCache *cache = me->runtime.batch_cache; - if (!cache) { - cache = me->runtime.batch_cache = MEM_callocN(sizeof(*cache), __func__); - } - else { - memset(cache, 0, sizeof(*cache)); - } + if (!cache) { + cache = me->runtime.batch_cache = MEM_callocN(sizeof(*cache), __func__); + } + else { + memset(cache, 0, sizeof(*cache)); + } - cache->is_editmode = me->edit_mesh != NULL; + cache->is_editmode = me->edit_mesh != NULL; - if (cache->is_editmode == false) { - cache->edge_len = mesh_render_edges_len_get(me); - cache->tri_len = mesh_render_looptri_len_get(me); - cache->poly_len = mesh_render_polys_len_get(me); - cache->vert_len = mesh_render_verts_len_get(me); - } + if (cache->is_editmode == false) { + cache->edge_len = mesh_render_edges_len_get(me); + cache->tri_len = mesh_render_looptri_len_get(me); + cache->poly_len = mesh_render_polys_len_get(me); + cache->vert_len = mesh_render_verts_len_get(me); + } - cache->mat_len = mesh_render_mat_len_get(me); - cache->surf_per_mat_tris = MEM_callocN(sizeof(*cache->surf_per_mat_tris) * cache->mat_len, __func__); - cache->surf_per_mat = MEM_callocN(sizeof(*cache->surf_per_mat) * cache->mat_len, __func__); + cache->mat_len = mesh_render_mat_len_get(me); + cache->surf_per_mat_tris = MEM_callocN(sizeof(*cache->surf_per_mat_tris) * cache->mat_len, + __func__); + cache->surf_per_mat = MEM_callocN(sizeof(*cache->surf_per_mat) * cache->mat_len, __func__); - cache->is_maybe_dirty = false; - cache->is_dirty = false; + cache->is_maybe_dirty = false; + cache->is_dirty = false; - drw_mesh_weight_state_clear(&cache->weight_state); + drw_mesh_weight_state_clear(&cache->weight_state); } static MeshBatchCache *mesh_batch_cache_get(Mesh *me) { - if (!mesh_batch_cache_valid(me)) { - mesh_batch_cache_clear(me); - mesh_batch_cache_init(me); - } - return me->runtime.batch_cache; + if (!mesh_batch_cache_valid(me)) { + mesh_batch_cache_clear(me); + mesh_batch_cache_init(me); + } + return me->runtime.batch_cache; } -static void mesh_batch_cache_check_vertex_group(MeshBatchCache *cache, const struct DRW_MeshWeightState *wstate) +static void mesh_batch_cache_check_vertex_group(MeshBatchCache *cache, + const struct DRW_MeshWeightState *wstate) { - if (!drw_mesh_weight_state_compare(&cache->weight_state, wstate)) { - GPU_BATCH_CLEAR_SAFE(cache->batch.surface_weights); - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.weights); + if (!drw_mesh_weight_state_compare(&cache->weight_state, wstate)) { + GPU_BATCH_CLEAR_SAFE(cache->batch.surface_weights); + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.weights); - drw_mesh_weight_state_clear(&cache->weight_state); - } + drw_mesh_weight_state_clear(&cache->weight_state); + } } static void mesh_batch_cache_discard_shaded_tri(MeshBatchCache *cache) { - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_pos_nor); - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_uv_tan); - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_vcol); - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_orco); - - if (cache->surf_per_mat_tris) { - for (int i = 0; i < cache->mat_len; i++) { - GPU_INDEXBUF_DISCARD_SAFE(cache->surf_per_mat_tris[i]); - } - } - MEM_SAFE_FREE(cache->surf_per_mat_tris); - if (cache->surf_per_mat) { - for (int i = 0; i < cache->mat_len; i++) { - GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); - } - } - MEM_SAFE_FREE(cache->surf_per_mat); - - MEM_SAFE_FREE(cache->auto_layer_names); - MEM_SAFE_FREE(cache->auto_layer_is_srgb); - - cache->mat_len = 0; + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_pos_nor); + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_uv_tan); + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_vcol); + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_orco); + + if (cache->surf_per_mat_tris) { + for (int i = 0; i < cache->mat_len; i++) { + GPU_INDEXBUF_DISCARD_SAFE(cache->surf_per_mat_tris[i]); + } + } + MEM_SAFE_FREE(cache->surf_per_mat_tris); + if (cache->surf_per_mat) { + for (int i = 0; i < cache->mat_len; i++) { + GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); + } + } + MEM_SAFE_FREE(cache->surf_per_mat); + + MEM_SAFE_FREE(cache->auto_layer_names); + MEM_SAFE_FREE(cache->auto_layer_is_srgb); + + cache->mat_len = 0; } static void mesh_batch_cache_discard_uvedit(MeshBatchCache *cache) { - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_angle); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_area); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv_data); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_tri_fans); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_line_strips); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_points); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_area); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_angle); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_edges); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_verts); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_facedots); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_angle); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_area); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv_data); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_tri_fans); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_line_strips); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_points); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_area); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_angle); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_edges); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_verts); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_facedots); } void DRW_mesh_batch_cache_dirty_tag(Mesh *me, int mode) { - MeshBatchCache *cache = me->runtime.batch_cache; - if (cache == NULL) { - return; - } - switch (mode) { - case BKE_MESH_BATCH_DIRTY_MAYBE_ALL: - cache->is_maybe_dirty = true; - break; - case BKE_MESH_BATCH_DIRTY_SELECT: - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_data); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_pos_nor_data); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_triangles); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_vertices); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_edges); - GPU_BATCH_DISCARD_SAFE(cache->batch.edit_facedots); - /* Paint mode selection */ - /* TODO only do that in paint mode. */ - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_pos_nor); - GPU_BATCH_DISCARD_SAFE(cache->batch.surface); - GPU_BATCH_DISCARD_SAFE(cache->batch.wire_loops); - if (cache->surf_per_mat) { - for (int i = 0; i < cache->mat_len; i++) { - GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); - } - } - /* Because visible UVs depends on edit mode selection, discard everything. */ - mesh_batch_cache_discard_uvedit(cache); - break; - case BKE_MESH_BATCH_DIRTY_ALL: - cache->is_dirty = true; - break; - case BKE_MESH_BATCH_DIRTY_SHADING: - mesh_batch_cache_discard_shaded_tri(cache); - mesh_batch_cache_discard_uvedit(cache); - break; - case BKE_MESH_BATCH_DIRTY_SCULPT_COORDS: - cache->is_sculpt_points_tag = true; - break; - case BKE_MESH_BATCH_DIRTY_UVEDIT_ALL: - mesh_batch_cache_discard_uvedit(cache); - break; - case BKE_MESH_BATCH_DIRTY_UVEDIT_SELECT: - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv_data); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_area); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_angle); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_edges); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_verts); - GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_facedots); - break; - default: - BLI_assert(0); - } + MeshBatchCache *cache = me->runtime.batch_cache; + if (cache == NULL) { + return; + } + switch (mode) { + case BKE_MESH_BATCH_DIRTY_MAYBE_ALL: + cache->is_maybe_dirty = true; + break; + case BKE_MESH_BATCH_DIRTY_SELECT: + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_data); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_pos_nor_data); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_triangles); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_vertices); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_edges); + GPU_BATCH_DISCARD_SAFE(cache->batch.edit_facedots); + /* Paint mode selection */ + /* TODO only do that in paint mode. */ + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_pos_nor); + GPU_BATCH_DISCARD_SAFE(cache->batch.surface); + GPU_BATCH_DISCARD_SAFE(cache->batch.wire_loops); + if (cache->surf_per_mat) { + for (int i = 0; i < cache->mat_len; i++) { + GPU_BATCH_DISCARD_SAFE(cache->surf_per_mat[i]); + } + } + /* Because visible UVs depends on edit mode selection, discard everything. */ + mesh_batch_cache_discard_uvedit(cache); + break; + case BKE_MESH_BATCH_DIRTY_ALL: + cache->is_dirty = true; + break; + case BKE_MESH_BATCH_DIRTY_SHADING: + mesh_batch_cache_discard_shaded_tri(cache); + mesh_batch_cache_discard_uvedit(cache); + break; + case BKE_MESH_BATCH_DIRTY_SCULPT_COORDS: + cache->is_sculpt_points_tag = true; + break; + case BKE_MESH_BATCH_DIRTY_UVEDIT_ALL: + mesh_batch_cache_discard_uvedit(cache); + break; + case BKE_MESH_BATCH_DIRTY_UVEDIT_SELECT: + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv_data); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_area); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces_strech_angle); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_faces); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_edges); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_verts); + GPU_BATCH_DISCARD_SAFE(cache->batch.edituv_facedots); + break; + default: + BLI_assert(0); + } } static void mesh_batch_cache_clear(Mesh *me) { - MeshBatchCache *cache = me->runtime.batch_cache; - if (!cache) { - return; - } - - for (int i = 0; i < sizeof(cache->ordered) / sizeof(void *); ++i) { - GPUVertBuf **vbo = (GPUVertBuf **)&cache->ordered; - GPU_VERTBUF_DISCARD_SAFE(vbo[i]); - } - for (int i = 0; i < sizeof(cache->edit) / sizeof(void *); ++i) { - GPUVertBuf **vbo = (GPUVertBuf **)&cache->edit; - GPU_VERTBUF_DISCARD_SAFE(vbo[i]); - } - for (int i = 0; i < sizeof(cache->ibo) / sizeof(void *); ++i) { - GPUIndexBuf **ibo = (GPUIndexBuf **)&cache->ibo; - GPU_INDEXBUF_DISCARD_SAFE(ibo[i]); - } - for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { - GPUBatch **batch = (GPUBatch **)&cache->batch; - GPU_BATCH_DISCARD_SAFE(batch[i]); - } - - mesh_batch_cache_discard_shaded_tri(cache); - - mesh_batch_cache_discard_uvedit(cache); - - drw_mesh_weight_state_clear(&cache->weight_state); + MeshBatchCache *cache = me->runtime.batch_cache; + if (!cache) { + return; + } + + for (int i = 0; i < sizeof(cache->ordered) / sizeof(void *); ++i) { + GPUVertBuf **vbo = (GPUVertBuf **)&cache->ordered; + GPU_VERTBUF_DISCARD_SAFE(vbo[i]); + } + for (int i = 0; i < sizeof(cache->edit) / sizeof(void *); ++i) { + GPUVertBuf **vbo = (GPUVertBuf **)&cache->edit; + GPU_VERTBUF_DISCARD_SAFE(vbo[i]); + } + for (int i = 0; i < sizeof(cache->ibo) / sizeof(void *); ++i) { + GPUIndexBuf **ibo = (GPUIndexBuf **)&cache->ibo; + GPU_INDEXBUF_DISCARD_SAFE(ibo[i]); + } + for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { + GPUBatch **batch = (GPUBatch **)&cache->batch; + GPU_BATCH_DISCARD_SAFE(batch[i]); + } + + mesh_batch_cache_discard_shaded_tri(cache); + + mesh_batch_cache_discard_uvedit(cache); + + drw_mesh_weight_state_clear(&cache->weight_state); } void DRW_mesh_batch_cache_free(Mesh *me) { - mesh_batch_cache_clear(me); - MEM_SAFE_FREE(me->runtime.batch_cache); + mesh_batch_cache_clear(me); + MEM_SAFE_FREE(me->runtime.batch_cache); } /* GPUBatch cache usage. */ -static void mesh_create_edit_vertex_loops( - MeshRenderData *rdata, - GPUVertBuf *vbo_pos_nor, - GPUVertBuf *vbo_lnor, - GPUVertBuf *vbo_uv, - GPUVertBuf *vbo_data, - GPUVertBuf *vbo_verts, - GPUVertBuf *vbo_edges, - GPUVertBuf *vbo_faces) +static void mesh_create_edit_vertex_loops(MeshRenderData *rdata, + GPUVertBuf *vbo_pos_nor, + GPUVertBuf *vbo_lnor, + GPUVertBuf *vbo_uv, + GPUVertBuf *vbo_data, + GPUVertBuf *vbo_verts, + GPUVertBuf *vbo_edges, + GPUVertBuf *vbo_faces) { #if 0 - const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); + const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); #endif - const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - const int lvert_len = mesh_render_data_loose_verts_len_get_maybe_mapped(rdata); - const int ledge_len = mesh_render_data_loose_edges_len_get_maybe_mapped(rdata); - const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); - const int tot_loop_len = loop_len + ledge_len * 2 + lvert_len; - float (*lnors)[3] = rdata->loop_normals; - uchar fflag; - - /* Static formats */ - static struct { GPUVertFormat sel_id, pos_nor, lnor, flag, uv; } format = {{ 0 }}; - static struct { uint sel_id, pos, nor, lnor, data, uvs; } attr_id; - if (format.sel_id.attr_len == 0) { - attr_id.sel_id = GPU_vertformat_attr_add(&format.sel_id, "color", GPU_COMP_U32, 1, GPU_FETCH_INT); - attr_id.pos = GPU_vertformat_attr_add(&format.pos_nor, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format.pos_nor, "vnor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - attr_id.lnor = GPU_vertformat_attr_add(&format.lnor, "lnor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - attr_id.data = GPU_vertformat_attr_add(&format.flag, "data", GPU_COMP_U8, 4, GPU_FETCH_INT); - attr_id.uvs = GPU_vertformat_attr_add(&format.uv, "u", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - GPU_vertformat_alias_add(&format.uv, "pos"); - GPU_vertformat_alias_add(&format.flag, "flag"); - } - - GPUVertBufRaw raw_verts, raw_edges, raw_faces, raw_pos, raw_nor, raw_lnor, raw_uv, raw_data; - if (DRW_TEST_ASSIGN_VBO(vbo_pos_nor)) { - GPU_vertbuf_init_with_format(vbo_pos_nor, &format.pos_nor); - GPU_vertbuf_data_alloc(vbo_pos_nor, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.pos, &raw_pos); - GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.nor, &raw_nor); - } - if (DRW_TEST_ASSIGN_VBO(vbo_lnor)) { - GPU_vertbuf_init_with_format(vbo_lnor, &format.lnor); - GPU_vertbuf_data_alloc(vbo_lnor, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_lnor, attr_id.lnor, &raw_lnor); - } - if (DRW_TEST_ASSIGN_VBO(vbo_data)) { - GPU_vertbuf_init_with_format(vbo_data, &format.flag); - GPU_vertbuf_data_alloc(vbo_data, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_data, attr_id.data, &raw_data); - } - if (DRW_TEST_ASSIGN_VBO(vbo_uv)) { - GPU_vertbuf_init_with_format(vbo_uv, &format.uv); - GPU_vertbuf_data_alloc(vbo_uv, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_uv, attr_id.uvs, &raw_uv); - } - /* Select Idx */ - if (DRW_TEST_ASSIGN_VBO(vbo_verts)) { - GPU_vertbuf_init_with_format(vbo_verts, &format.sel_id); - GPU_vertbuf_data_alloc(vbo_verts, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_verts, attr_id.sel_id, &raw_verts); - } - if (DRW_TEST_ASSIGN_VBO(vbo_edges)) { - GPU_vertbuf_init_with_format(vbo_edges, &format.sel_id); - GPU_vertbuf_data_alloc(vbo_edges, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_edges, attr_id.sel_id, &raw_edges); - } - if (DRW_TEST_ASSIGN_VBO(vbo_faces)) { - GPU_vertbuf_init_with_format(vbo_faces, &format.sel_id); - GPU_vertbuf_data_alloc(vbo_faces, tot_loop_len); - GPU_vertbuf_attr_get_raw_data(vbo_faces, attr_id.sel_id, &raw_faces); - } - - if (rdata->edit_bmesh && rdata->mapped.use == false) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop, iter_vert; - BMFace *efa; - BMEdge *eed; - BMVert *eve; - BMLoop *loop; - const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); - - /* Face Loops */ - BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { - int fidx = BM_elem_index_get(efa); - if (vbo_data) { - fflag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); - } - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - if (vbo_pos_nor) { - GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); - *vnor = GPU_normal_convert_i10_v3(loop->v->no); - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), loop->v->co); - } - if (vbo_lnor) { - const float *nor = (lnors) ? lnors[BM_elem_index_get(loop)] : efa->no; - GPUPackedNormal *lnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor); - *lnor = GPU_normal_convert_i10_v3(nor); - } - if (vbo_data) { - EdgeDrawAttr eattr = { .v_flag = fflag }; - mesh_render_data_edge_flag(rdata, loop->e, &eattr); - mesh_render_data_vert_flag(rdata, loop->v, &eattr); - mesh_render_data_loop_flag(rdata, loop, cd_loop_uv_offset, &eattr); - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - if (vbo_uv) { - MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(loop, cd_loop_uv_offset); - copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = BM_elem_index_get(loop->v); - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - int eidx = BM_elem_index_get(loop->e); - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - if (vbo_faces) { - *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; - } - } - } - /* Loose edges */ - for (int e = 0; e < ledge_len; e++) { - eed = BM_edge_at_index(bm, rdata->loose_edges[e]); - BM_ITER_ELEM (eve, &iter_vert, eed, BM_VERTS_OF_EDGE) { - if (vbo_pos_nor) { - GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); - *vnor = GPU_normal_convert_i10_v3(eve->no); - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), eve->co); - } - if (vbo_data) { - EdgeDrawAttr eattr = { 0 }; - mesh_render_data_edge_flag(rdata, eed, &eattr); - mesh_render_data_vert_flag(rdata, eve, &eattr); - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - if (vbo_lnor) { - memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = BM_elem_index_get(eve); - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - int eidx = BM_elem_index_get(eed); - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - } - } - /* Loose verts */ - for (int e = 0; e < lvert_len; e++) { - eve = BM_vert_at_index(bm, rdata->loose_verts[e]); - if (vbo_pos_nor) { - GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); - *vnor = GPU_normal_convert_i10_v3(eve->no); - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), eve->co); - } - if (vbo_lnor) { - memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); - } - if (vbo_data) { - EdgeDrawAttr eattr = { 0 }; - mesh_render_data_vert_flag(rdata, eve, &eattr); - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = BM_elem_index_get(eve); - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - } - } - else if (rdata->mapped.use == true) { - BMesh *bm = rdata->edit_bmesh->bm; - const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); - - const MPoly *mpoly = rdata->mapped.me_cage->mpoly; - const MEdge *medge = rdata->mapped.me_cage->medge; - const MVert *mvert = rdata->mapped.me_cage->mvert; - const MLoop *mloop = rdata->mapped.me_cage->mloop; - - const int *v_origindex = rdata->mapped.v_origindex; - const int *e_origindex = rdata->mapped.e_origindex; - const int *p_origindex = rdata->mapped.p_origindex; - - /* Face Loops */ - for (int poly = 0; poly < poly_len; poly++, mpoly++) { - const MLoop *l = &mloop[mpoly->loopstart]; - int fidx = p_origindex[poly]; - BMFace *efa = NULL; - if (vbo_data) { - fflag = 0; - if (fidx != ORIGINDEX_NONE) { - efa = BM_face_at_index(bm, fidx); - fflag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); - } - } - for (int i = 0; i < mpoly->totloop; i++, l++) { - if (vbo_pos_nor) { - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[l->v].co); - } - if (vbo_lnor || vbo_pos_nor) { - GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[l->v].no); - if (vbo_pos_nor) { - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; - } - if (vbo_lnor) { - /* Mapped does not support lnors yet. */ - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor) = vnor; - } - } - if (vbo_data) { - EdgeDrawAttr eattr = { .v_flag = fflag }; - int vidx = v_origindex[l->v]; - int eidx = e_origindex[l->e]; - if (vidx != ORIGINDEX_NONE) { - BMVert *eve = BM_vert_at_index(bm, vidx); - mesh_render_data_vert_flag(rdata, eve, &eattr); - } - if (eidx != ORIGINDEX_NONE) { - BMEdge *eed = BM_edge_at_index(bm, eidx); - mesh_render_data_edge_flag(rdata, eed, &eattr); - if (efa) { - BMLoop *loop = BM_face_edge_share_loop(efa, eed); - if (loop) { - mesh_render_data_loop_flag(rdata, loop, cd_loop_uv_offset, &eattr); - } - } - } - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - if (vbo_uv) { - MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; - copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = v_origindex[l->v]; - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - int eidx = e_origindex[l->e]; - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - if (vbo_faces) { - *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; - } - } - } - /* Loose edges */ - for (int j = 0; j < ledge_len; j++) { - const int e = rdata->mapped.loose_edges[j]; - for (int i = 0; i < 2; ++i) { - int v = (i == 0) ? medge[e].v1 : medge[e].v2; - if (vbo_pos_nor) { - GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[v].no); - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[v].co); - } - if (vbo_lnor) { - memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); - } - if (vbo_data) { - EdgeDrawAttr eattr = { 0 }; - int vidx = v_origindex[v]; - int eidx = e_origindex[e]; - if (vidx != ORIGINDEX_NONE) { - BMVert *eve = BM_vert_at_index(bm, vidx); - mesh_render_data_vert_flag(rdata, eve, &eattr); - } - if (eidx != ORIGINDEX_NONE) { - BMEdge *eed = BM_edge_at_index(bm, eidx); - mesh_render_data_edge_flag(rdata, eed, &eattr); - } - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = v_origindex[v]; - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - int eidx = e_origindex[e]; - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - } - } - /* Loose verts */ - for (int i = 0; i < lvert_len; i++) { - const int v = rdata->mapped.loose_verts[i]; - if (vbo_pos_nor) { - GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[v].no); - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[v].co); - } - if (vbo_lnor) { - memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); - } - if (vbo_data) { - EdgeDrawAttr eattr = { 0 }; - int vidx = v_origindex[v]; - if (vidx != ORIGINDEX_NONE) { - BMVert *eve = BM_vert_at_index(bm, vidx); - mesh_render_data_vert_flag(rdata, eve, &eattr); - } - memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = v_origindex[v]; - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - } - } - else { - const MPoly *mpoly = rdata->mpoly; - const MVert *mvert = rdata->mvert; - const MLoop *mloop = rdata->mloop; - - const int *v_origindex = CustomData_get_layer(&rdata->me->vdata, CD_ORIGINDEX); - const int *e_origindex = CustomData_get_layer(&rdata->me->edata, CD_ORIGINDEX); - const int *p_origindex = CustomData_get_layer(&rdata->me->pdata, CD_ORIGINDEX); - - /* Face Loops */ - for (int poly = 0; poly < poly_len; poly++, mpoly++) { - const MLoop *l = &mloop[mpoly->loopstart]; - int fidx = p_origindex ? p_origindex[poly] : poly; - for (int i = 0; i < mpoly->totloop; i++, l++) { - if (vbo_pos_nor) { - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[l->v].co); - } - if (vbo_lnor || vbo_pos_nor) { - GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[l->v].no); - if (vbo_pos_nor) { - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; - } - if (vbo_lnor) { - /* Mapped does not support lnors yet. */ - *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor) = vnor; - } - } - if (vbo_uv) { - MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; - copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); - } - /* Select Idx */ - if (vbo_verts) { - int vidx = v_origindex ? v_origindex[l->v] : l->v; - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - int eidx = e_origindex ? e_origindex[l->e] : l->e; - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - if (vbo_faces) { - *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; - } - } - } - /* TODO(fclem): Until we find a way to detect - * loose verts easily outside of edit mode, this - * will remain disabled. */ + const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + const int lvert_len = mesh_render_data_loose_verts_len_get_maybe_mapped(rdata); + const int ledge_len = mesh_render_data_loose_edges_len_get_maybe_mapped(rdata); + const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); + const int tot_loop_len = loop_len + ledge_len * 2 + lvert_len; + float(*lnors)[3] = rdata->loop_normals; + uchar fflag; + + /* Static formats */ + static struct { + GPUVertFormat sel_id, pos_nor, lnor, flag, uv; + } format = {{0}}; + static struct { + uint sel_id, pos, nor, lnor, data, uvs; + } attr_id; + if (format.sel_id.attr_len == 0) { + attr_id.sel_id = GPU_vertformat_attr_add( + &format.sel_id, "color", GPU_COMP_U32, 1, GPU_FETCH_INT); + attr_id.pos = GPU_vertformat_attr_add( + &format.pos_nor, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format.pos_nor, "vnor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + attr_id.lnor = GPU_vertformat_attr_add( + &format.lnor, "lnor", GPU_COMP_I10, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + attr_id.data = GPU_vertformat_attr_add(&format.flag, "data", GPU_COMP_U8, 4, GPU_FETCH_INT); + attr_id.uvs = GPU_vertformat_attr_add(&format.uv, "u", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + GPU_vertformat_alias_add(&format.uv, "pos"); + GPU_vertformat_alias_add(&format.flag, "flag"); + } + + GPUVertBufRaw raw_verts, raw_edges, raw_faces, raw_pos, raw_nor, raw_lnor, raw_uv, raw_data; + if (DRW_TEST_ASSIGN_VBO(vbo_pos_nor)) { + GPU_vertbuf_init_with_format(vbo_pos_nor, &format.pos_nor); + GPU_vertbuf_data_alloc(vbo_pos_nor, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.pos, &raw_pos); + GPU_vertbuf_attr_get_raw_data(vbo_pos_nor, attr_id.nor, &raw_nor); + } + if (DRW_TEST_ASSIGN_VBO(vbo_lnor)) { + GPU_vertbuf_init_with_format(vbo_lnor, &format.lnor); + GPU_vertbuf_data_alloc(vbo_lnor, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_lnor, attr_id.lnor, &raw_lnor); + } + if (DRW_TEST_ASSIGN_VBO(vbo_data)) { + GPU_vertbuf_init_with_format(vbo_data, &format.flag); + GPU_vertbuf_data_alloc(vbo_data, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_data, attr_id.data, &raw_data); + } + if (DRW_TEST_ASSIGN_VBO(vbo_uv)) { + GPU_vertbuf_init_with_format(vbo_uv, &format.uv); + GPU_vertbuf_data_alloc(vbo_uv, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_uv, attr_id.uvs, &raw_uv); + } + /* Select Idx */ + if (DRW_TEST_ASSIGN_VBO(vbo_verts)) { + GPU_vertbuf_init_with_format(vbo_verts, &format.sel_id); + GPU_vertbuf_data_alloc(vbo_verts, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_verts, attr_id.sel_id, &raw_verts); + } + if (DRW_TEST_ASSIGN_VBO(vbo_edges)) { + GPU_vertbuf_init_with_format(vbo_edges, &format.sel_id); + GPU_vertbuf_data_alloc(vbo_edges, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_edges, attr_id.sel_id, &raw_edges); + } + if (DRW_TEST_ASSIGN_VBO(vbo_faces)) { + GPU_vertbuf_init_with_format(vbo_faces, &format.sel_id); + GPU_vertbuf_data_alloc(vbo_faces, tot_loop_len); + GPU_vertbuf_attr_get_raw_data(vbo_faces, attr_id.sel_id, &raw_faces); + } + + if (rdata->edit_bmesh && rdata->mapped.use == false) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop, iter_vert; + BMFace *efa; + BMEdge *eed; + BMVert *eve; + BMLoop *loop; + const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); + + /* Face Loops */ + BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { + int fidx = BM_elem_index_get(efa); + if (vbo_data) { + fflag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); + } + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + if (vbo_pos_nor) { + GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); + *vnor = GPU_normal_convert_i10_v3(loop->v->no); + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), loop->v->co); + } + if (vbo_lnor) { + const float *nor = (lnors) ? lnors[BM_elem_index_get(loop)] : efa->no; + GPUPackedNormal *lnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor); + *lnor = GPU_normal_convert_i10_v3(nor); + } + if (vbo_data) { + EdgeDrawAttr eattr = {.v_flag = fflag}; + mesh_render_data_edge_flag(rdata, loop->e, &eattr); + mesh_render_data_vert_flag(rdata, loop->v, &eattr); + mesh_render_data_loop_flag(rdata, loop, cd_loop_uv_offset, &eattr); + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + if (vbo_uv) { + MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(loop, cd_loop_uv_offset); + copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = BM_elem_index_get(loop->v); + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + int eidx = BM_elem_index_get(loop->e); + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + if (vbo_faces) { + *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; + } + } + } + /* Loose edges */ + for (int e = 0; e < ledge_len; e++) { + eed = BM_edge_at_index(bm, rdata->loose_edges[e]); + BM_ITER_ELEM (eve, &iter_vert, eed, BM_VERTS_OF_EDGE) { + if (vbo_pos_nor) { + GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); + *vnor = GPU_normal_convert_i10_v3(eve->no); + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), eve->co); + } + if (vbo_data) { + EdgeDrawAttr eattr = {0}; + mesh_render_data_edge_flag(rdata, eed, &eattr); + mesh_render_data_vert_flag(rdata, eve, &eattr); + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + if (vbo_lnor) { + memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = BM_elem_index_get(eve); + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + int eidx = BM_elem_index_get(eed); + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + } + } + /* Loose verts */ + for (int e = 0; e < lvert_len; e++) { + eve = BM_vert_at_index(bm, rdata->loose_verts[e]); + if (vbo_pos_nor) { + GPUPackedNormal *vnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor); + *vnor = GPU_normal_convert_i10_v3(eve->no); + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), eve->co); + } + if (vbo_lnor) { + memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); + } + if (vbo_data) { + EdgeDrawAttr eattr = {0}; + mesh_render_data_vert_flag(rdata, eve, &eattr); + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = BM_elem_index_get(eve); + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + } + } + else if (rdata->mapped.use == true) { + BMesh *bm = rdata->edit_bmesh->bm; + const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); + + const MPoly *mpoly = rdata->mapped.me_cage->mpoly; + const MEdge *medge = rdata->mapped.me_cage->medge; + const MVert *mvert = rdata->mapped.me_cage->mvert; + const MLoop *mloop = rdata->mapped.me_cage->mloop; + + const int *v_origindex = rdata->mapped.v_origindex; + const int *e_origindex = rdata->mapped.e_origindex; + const int *p_origindex = rdata->mapped.p_origindex; + + /* Face Loops */ + for (int poly = 0; poly < poly_len; poly++, mpoly++) { + const MLoop *l = &mloop[mpoly->loopstart]; + int fidx = p_origindex[poly]; + BMFace *efa = NULL; + if (vbo_data) { + fflag = 0; + if (fidx != ORIGINDEX_NONE) { + efa = BM_face_at_index(bm, fidx); + fflag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); + } + } + for (int i = 0; i < mpoly->totloop; i++, l++) { + if (vbo_pos_nor) { + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[l->v].co); + } + if (vbo_lnor || vbo_pos_nor) { + GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[l->v].no); + if (vbo_pos_nor) { + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; + } + if (vbo_lnor) { + /* Mapped does not support lnors yet. */ + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor) = vnor; + } + } + if (vbo_data) { + EdgeDrawAttr eattr = {.v_flag = fflag}; + int vidx = v_origindex[l->v]; + int eidx = e_origindex[l->e]; + if (vidx != ORIGINDEX_NONE) { + BMVert *eve = BM_vert_at_index(bm, vidx); + mesh_render_data_vert_flag(rdata, eve, &eattr); + } + if (eidx != ORIGINDEX_NONE) { + BMEdge *eed = BM_edge_at_index(bm, eidx); + mesh_render_data_edge_flag(rdata, eed, &eattr); + if (efa) { + BMLoop *loop = BM_face_edge_share_loop(efa, eed); + if (loop) { + mesh_render_data_loop_flag(rdata, loop, cd_loop_uv_offset, &eattr); + } + } + } + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + if (vbo_uv) { + MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; + copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = v_origindex[l->v]; + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + int eidx = e_origindex[l->e]; + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + if (vbo_faces) { + *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; + } + } + } + /* Loose edges */ + for (int j = 0; j < ledge_len; j++) { + const int e = rdata->mapped.loose_edges[j]; + for (int i = 0; i < 2; ++i) { + int v = (i == 0) ? medge[e].v1 : medge[e].v2; + if (vbo_pos_nor) { + GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[v].no); + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[v].co); + } + if (vbo_lnor) { + memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); + } + if (vbo_data) { + EdgeDrawAttr eattr = {0}; + int vidx = v_origindex[v]; + int eidx = e_origindex[e]; + if (vidx != ORIGINDEX_NONE) { + BMVert *eve = BM_vert_at_index(bm, vidx); + mesh_render_data_vert_flag(rdata, eve, &eattr); + } + if (eidx != ORIGINDEX_NONE) { + BMEdge *eed = BM_edge_at_index(bm, eidx); + mesh_render_data_edge_flag(rdata, eed, &eattr); + } + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = v_origindex[v]; + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + int eidx = e_origindex[e]; + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + } + } + /* Loose verts */ + for (int i = 0; i < lvert_len; i++) { + const int v = rdata->mapped.loose_verts[i]; + if (vbo_pos_nor) { + GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[v].no); + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[v].co); + } + if (vbo_lnor) { + memset(GPU_vertbuf_raw_step(&raw_lnor), 0, sizeof(GPUPackedNormal)); + } + if (vbo_data) { + EdgeDrawAttr eattr = {0}; + int vidx = v_origindex[v]; + if (vidx != ORIGINDEX_NONE) { + BMVert *eve = BM_vert_at_index(bm, vidx); + mesh_render_data_vert_flag(rdata, eve, &eattr); + } + memcpy(GPU_vertbuf_raw_step(&raw_data), &eattr, sizeof(EdgeDrawAttr)); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = v_origindex[v]; + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + } + } + else { + const MPoly *mpoly = rdata->mpoly; + const MVert *mvert = rdata->mvert; + const MLoop *mloop = rdata->mloop; + + const int *v_origindex = CustomData_get_layer(&rdata->me->vdata, CD_ORIGINDEX); + const int *e_origindex = CustomData_get_layer(&rdata->me->edata, CD_ORIGINDEX); + const int *p_origindex = CustomData_get_layer(&rdata->me->pdata, CD_ORIGINDEX); + + /* Face Loops */ + for (int poly = 0; poly < poly_len; poly++, mpoly++) { + const MLoop *l = &mloop[mpoly->loopstart]; + int fidx = p_origindex ? p_origindex[poly] : poly; + for (int i = 0; i < mpoly->totloop; i++, l++) { + if (vbo_pos_nor) { + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[l->v].co); + } + if (vbo_lnor || vbo_pos_nor) { + GPUPackedNormal vnor = GPU_normal_convert_i10_s3(mvert[l->v].no); + if (vbo_pos_nor) { + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_nor) = vnor; + } + if (vbo_lnor) { + /* Mapped does not support lnors yet. */ + *(GPUPackedNormal *)GPU_vertbuf_raw_step(&raw_lnor) = vnor; + } + } + if (vbo_uv) { + MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; + copy_v2_v2(GPU_vertbuf_raw_step(&raw_uv), luv->uv); + } + /* Select Idx */ + if (vbo_verts) { + int vidx = v_origindex ? v_origindex[l->v] : l->v; + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + int eidx = e_origindex ? e_origindex[l->e] : l->e; + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + if (vbo_faces) { + *((uint *)GPU_vertbuf_raw_step(&raw_faces)) = fidx; + } + } + } + /* TODO(fclem): Until we find a way to detect + * loose verts easily outside of edit mode, this + * will remain disabled. */ #if 0 - /* Loose edges */ - for (int e = 0; e < edge_len; e++, medge++) { - int eidx = e_origindex[e]; - if (eidx != ORIGINDEX_NONE && (medge->flag & ME_LOOSEEDGE)) { - for (int i = 0; i < 2; ++i) { - int vidx = (i == 0) ? medge->v1 : medge->v2; - if (vbo_pos) { - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[vidx].co); - } - if (vbo_verts) { - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - if (vbo_edges) { - *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; - } - } - } - } - /* Loose verts */ - for (int v = 0; v < vert_len; v++, mvert++) { - int vidx = v_origindex[v]; - if (vidx != ORIGINDEX_NONE) { - MVert *eve = BM_vert_at_index(bm, vidx); - if (eve->e == NULL) { - if (vbo_pos) { - copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert->co); - } - if (vbo_verts) { - *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; - } - } - } - } + /* Loose edges */ + for (int e = 0; e < edge_len; e++, medge++) { + int eidx = e_origindex[e]; + if (eidx != ORIGINDEX_NONE && (medge->flag & ME_LOOSEEDGE)) { + for (int i = 0; i < 2; ++i) { + int vidx = (i == 0) ? medge->v1 : medge->v2; + if (vbo_pos) { + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert[vidx].co); + } + if (vbo_verts) { + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + if (vbo_edges) { + *((uint *)GPU_vertbuf_raw_step(&raw_edges)) = eidx; + } + } + } + } + /* Loose verts */ + for (int v = 0; v < vert_len; v++, mvert++) { + int vidx = v_origindex[v]; + if (vidx != ORIGINDEX_NONE) { + MVert *eve = BM_vert_at_index(bm, vidx); + if (eve->e == NULL) { + if (vbo_pos) { + copy_v3_v3(GPU_vertbuf_raw_step(&raw_pos), mvert->co); + } + if (vbo_verts) { + *((uint *)GPU_vertbuf_raw_step(&raw_verts)) = vidx; + } + } + } + } #endif - } - /* Don't resize */ + } + /* Don't resize */ } /* TODO: We could use gl_PrimitiveID as index instead of using another VBO. */ -static void mesh_create_edit_facedots_select_id( - MeshRenderData *rdata, - GPUVertBuf *vbo) +static void mesh_create_edit_facedots_select_id(MeshRenderData *rdata, GPUVertBuf *vbo) { - const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - - static GPUVertFormat format = { 0 }; - static struct { uint idx; } attr_id; - if (format.attr_len == 0) { - attr_id.idx = GPU_vertformat_attr_add(&format, "color", GPU_COMP_U32, 1, GPU_FETCH_INT); - } - - GPUVertBufRaw idx_step; - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, poly_len); - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.idx, &idx_step); - - /* Keep in sync with mesh_create_edit_facedots(). */ - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - for (int poly = 0; poly < poly_len; poly++) { - const BMFace *efa = BM_face_at_index(rdata->edit_bmesh->bm, poly); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; - } - } - } - else { - for (int poly = 0; poly < poly_len; poly++) { - *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; - } - } - } - else { - const int *p_origindex = rdata->mapped.p_origindex; - for (int poly = 0; poly < poly_len; poly++) { - const int p_orig = p_origindex[poly]; - if (p_orig != ORIGINDEX_NONE) { - const BMFace *efa = BM_face_at_index(rdata->edit_bmesh->bm, p_orig); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; - } - } - } - } - - /* Resize & Finish */ - int facedot_len_used = GPU_vertbuf_raw_used(&idx_step); - if (facedot_len_used != poly_len) { - GPU_vertbuf_data_resize(vbo, facedot_len_used); - } + const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + + static GPUVertFormat format = {0}; + static struct { + uint idx; + } attr_id; + if (format.attr_len == 0) { + attr_id.idx = GPU_vertformat_attr_add(&format, "color", GPU_COMP_U32, 1, GPU_FETCH_INT); + } + + GPUVertBufRaw idx_step; + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, poly_len); + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.idx, &idx_step); + + /* Keep in sync with mesh_create_edit_facedots(). */ + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + for (int poly = 0; poly < poly_len; poly++) { + const BMFace *efa = BM_face_at_index(rdata->edit_bmesh->bm, poly); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; + } + } + } + else { + for (int poly = 0; poly < poly_len; poly++) { + *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; + } + } + } + else { + const int *p_origindex = rdata->mapped.p_origindex; + for (int poly = 0; poly < poly_len; poly++) { + const int p_orig = p_origindex[poly]; + if (p_orig != ORIGINDEX_NONE) { + const BMFace *efa = BM_face_at_index(rdata->edit_bmesh->bm, p_orig); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + *((uint *)GPU_vertbuf_raw_step(&idx_step)) = poly; + } + } + } + } + + /* Resize & Finish */ + int facedot_len_used = GPU_vertbuf_raw_used(&idx_step); + if (facedot_len_used != poly_len) { + GPU_vertbuf_data_resize(vbo, facedot_len_used); + } } static void mesh_create_pos_and_nor(MeshRenderData *rdata, GPUVertBuf *vbo) { - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - GPU_vertbuf_init_with_format(vbo, &format); - const int vbo_len_capacity = mesh_render_data_verts_len_get_maybe_mapped(rdata); - GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter; - BMVert *eve; - uint i; - - mesh_render_data_ensure_vert_normals_pack(rdata); - GPUPackedNormal *vnor = rdata->vert_normals_pack; - - BM_ITER_MESH_INDEX (eve, &iter, bm, BM_VERTS_OF_MESH, i) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, eve->co); - GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor[i]); - } - BLI_assert(i == vbo_len_capacity); - } - else { - for (int i = 0; i < vbo_len_capacity; i++) { - const MVert *mv = &rdata->mvert[i]; - GPUPackedNormal vnor_pack = GPU_normal_convert_i10_s3(mv->no); - vnor_pack.w = (mv->flag & ME_HIDE) ? -1 : ((mv->flag & SELECT) ? 1 : 0); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, rdata->mvert[i].co); - GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor_pack); - } - } - } - else { - const MVert *mvert = rdata->mapped.me_cage->mvert; - const int *v_origindex = rdata->mapped.v_origindex; - for (int i = 0; i < vbo_len_capacity; i++) { - const int v_orig = v_origindex[i]; - if (v_orig != ORIGINDEX_NONE) { - const MVert *mv = &mvert[i]; - GPUPackedNormal vnor_pack = GPU_normal_convert_i10_s3(mv->no); - vnor_pack.w = (mv->flag & ME_HIDE) ? -1 : ((mv->flag & SELECT) ? 1 : 0); - GPU_vertbuf_attr_set(vbo, attr_id.pos, i, mv->co); - GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor_pack); - } - } - } + static GPUVertFormat format = {0}; + static struct { + uint pos, nor; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + GPU_vertbuf_init_with_format(vbo, &format); + const int vbo_len_capacity = mesh_render_data_verts_len_get_maybe_mapped(rdata); + GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter; + BMVert *eve; + uint i; + + mesh_render_data_ensure_vert_normals_pack(rdata); + GPUPackedNormal *vnor = rdata->vert_normals_pack; + + BM_ITER_MESH_INDEX (eve, &iter, bm, BM_VERTS_OF_MESH, i) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, eve->co); + GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor[i]); + } + BLI_assert(i == vbo_len_capacity); + } + else { + for (int i = 0; i < vbo_len_capacity; i++) { + const MVert *mv = &rdata->mvert[i]; + GPUPackedNormal vnor_pack = GPU_normal_convert_i10_s3(mv->no); + vnor_pack.w = (mv->flag & ME_HIDE) ? -1 : ((mv->flag & SELECT) ? 1 : 0); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, rdata->mvert[i].co); + GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor_pack); + } + } + } + else { + const MVert *mvert = rdata->mapped.me_cage->mvert; + const int *v_origindex = rdata->mapped.v_origindex; + for (int i = 0; i < vbo_len_capacity; i++) { + const int v_orig = v_origindex[i]; + if (v_orig != ORIGINDEX_NONE) { + const MVert *mv = &mvert[i]; + GPUPackedNormal vnor_pack = GPU_normal_convert_i10_s3(mv->no); + vnor_pack.w = (mv->flag & ME_HIDE) ? -1 : ((mv->flag & SELECT) ? 1 : 0); + GPU_vertbuf_attr_set(vbo, attr_id.pos, i, mv->co); + GPU_vertbuf_attr_set(vbo, attr_id.nor, i, &vnor_pack); + } + } + } } -static void mesh_create_weights(MeshRenderData *rdata, GPUVertBuf *vbo, DRW_MeshWeightState *wstate) +static void mesh_create_weights(MeshRenderData *rdata, + GPUVertBuf *vbo, + DRW_MeshWeightState *wstate) { - static GPUVertFormat format = { 0 }; - static struct { uint weight; } attr_id; - if (format.attr_len == 0) { - attr_id.weight = GPU_vertformat_attr_add(&format, "weight", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } - - const int vbo_len_capacity = mesh_render_data_verts_len_get_maybe_mapped(rdata); - - mesh_render_data_ensure_vert_weight(rdata, wstate); - const float *vert_weight = rdata->vert_weight; - - GPU_vertbuf_init_with_format(vbo, &format); - /* Meh, another allocation / copy for no benefit. - * Needed because rdata->vert_weight is freed afterwards and - * GPU module don't have a GPU_vertbuf_data_from_memory or similar. */ - /* TODO get rid of the extra allocation/copy. */ - GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); - GPU_vertbuf_attr_fill(vbo, attr_id.weight, vert_weight); + static GPUVertFormat format = {0}; + static struct { + uint weight; + } attr_id; + if (format.attr_len == 0) { + attr_id.weight = GPU_vertformat_attr_add(&format, "weight", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } + + const int vbo_len_capacity = mesh_render_data_verts_len_get_maybe_mapped(rdata); + + mesh_render_data_ensure_vert_weight(rdata, wstate); + const float *vert_weight = rdata->vert_weight; + + GPU_vertbuf_init_with_format(vbo, &format); + /* Meh, another allocation / copy for no benefit. + * Needed because rdata->vert_weight is freed afterwards and + * GPU module don't have a GPU_vertbuf_data_from_memory or similar. */ + /* TODO get rid of the extra allocation/copy. */ + GPU_vertbuf_data_alloc(vbo, vbo_len_capacity); + GPU_vertbuf_attr_fill(vbo, attr_id.weight, vert_weight); } -static float mesh_loop_edge_factor_get( - const float f_no[3], const float v_co[3], const float v_no[3], const float v_next_co[3]) +static float mesh_loop_edge_factor_get(const float f_no[3], + const float v_co[3], + const float v_no[3], + const float v_next_co[3]) { - float enor[3], evec[3]; - sub_v3_v3v3(evec, v_next_co, v_co); - cross_v3_v3v3(enor, v_no, evec); - normalize_v3(enor); - float d = fabsf(dot_v3v3(enor, f_no)); - /* Rescale to the slider range. */ - d *= (1.0f / 0.065f); - CLAMP(d, 0.0f, 1.0f); - return d; + float enor[3], evec[3]; + sub_v3_v3v3(evec, v_next_co, v_co); + cross_v3_v3v3(enor, v_no, evec); + normalize_v3(enor); + float d = fabsf(dot_v3v3(enor, f_no)); + /* Rescale to the slider range. */ + d *= (1.0f / 0.065f); + CLAMP(d, 0.0f, 1.0f); + return d; } static void vertbuf_raw_step_u8(GPUVertBufRaw *wd_step, const uchar wiredata) { - *((uchar *)GPU_vertbuf_raw_step(wd_step)) = wiredata; + *((uchar *)GPU_vertbuf_raw_step(wd_step)) = wiredata; } static void vertbuf_raw_step_u8_to_f32(GPUVertBufRaw *wd_step, const uchar wiredata) { - *((float *)GPU_vertbuf_raw_step(wd_step)) = wiredata / 255.0f; + *((float *)GPU_vertbuf_raw_step(wd_step)) = wiredata / 255.0f; } static void mesh_create_loop_edge_fac(MeshRenderData *rdata, GPUVertBuf *vbo) { - static GPUVertFormat format = { 0 }; - static struct { uint wd; } attr_id; - static union { float f; uchar u; } data; - static void (*vertbuf_raw_step)(GPUVertBufRaw *, const uchar); - if (format.attr_len == 0) { - if (!GPU_crappy_amd_driver()) { - /* Some AMD drivers strangely crash with a vbo with this format. */ - attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - vertbuf_raw_step = vertbuf_raw_step_u8; - data.u = UCHAR_MAX; - } - else { - attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - vertbuf_raw_step = vertbuf_raw_step_u8_to_f32; - data.f = 1.0f; - } - } - const int poly_len = mesh_render_data_polys_len_get(rdata); - const int loop_len = mesh_render_data_loops_len_get(rdata); - const int edge_len = mesh_render_data_edges_len_get(rdata); - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, loop_len); - - GPUVertBufRaw wd_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.wd, &wd_step); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop; - BMFace *efa; - BMLoop *loop; - uint f; - - BM_ITER_MESH_INDEX (efa, &iter_efa, bm, BM_FACES_OF_MESH, f) { - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - float ratio = mesh_loop_edge_factor_get(efa->no, loop->v->co, loop->v->no, loop->next->v->co); - vertbuf_raw_step(&wd_step, ratio * 255); - } - } - BLI_assert(GPU_vertbuf_raw_used(&wd_step) == loop_len); - } - else { - const MVert *mvert = rdata->mvert; - const MPoly *mpoly = rdata->mpoly; - const MLoop *mloop = rdata->mloop; - MEdge *medge = (MEdge *)rdata->medge; - bool use_edge_render = false; - - /* TODO(fclem) We don't need them to be packed. But we need rdata->poly_normals */ - mesh_render_data_ensure_poly_normals_pack(rdata); - - /* Reset flag */ - for (int edge = 0; edge < edge_len; ++edge) { - /* NOTE: not thread safe. */ - medge[edge].flag &= ~ME_EDGE_TMP_TAG; - - /* HACK(fclem) Feels like a hack. Detecting the need for edge render. */ - if ((medge[edge].flag & ME_EDGERENDER) == 0) { - use_edge_render = true; - } - } - - for (int a = 0; a < poly_len; a++, mpoly++) { - const float *fnor = rdata->poly_normals[a]; - for (int b = 0; b < mpoly->totloop; b++) { - const MLoop *ml1 = &mloop[mpoly->loopstart + b]; - const MLoop *ml2 = &mloop[mpoly->loopstart + (b + 1) % mpoly->totloop]; - - /* Will only work for edges that have an odd number of faces connected. */ - MEdge *ed = (MEdge *)rdata->medge + ml1->e; - ed->flag ^= ME_EDGE_TMP_TAG; - - if (use_edge_render) { - vertbuf_raw_step(&wd_step, (ed->flag & ME_EDGERENDER) ? 255 : 0); - } - else { - float vnor_f[3]; - normal_short_to_float_v3(vnor_f, mvert[ml1->v].no); - float ratio = mesh_loop_edge_factor_get(fnor, - mvert[ml1->v].co, - vnor_f, - mvert[ml2->v].co); - vertbuf_raw_step(&wd_step, ratio * 253 + 1); - } - } - } - /* Gather non-manifold edges. */ - for (int l = 0; l < loop_len; l++, mloop++) { - MEdge *ed = (MEdge *)rdata->medge + mloop->e; - if (ed->flag & ME_EDGE_TMP_TAG) { - GPU_vertbuf_attr_set(vbo, attr_id.wd, l, &data); - } - } - - BLI_assert(loop_len == GPU_vertbuf_raw_used(&wd_step)); - } - } - else { - BLI_assert(0); - } + static GPUVertFormat format = {0}; + static struct { + uint wd; + } attr_id; + static union { + float f; + uchar u; + } data; + static void (*vertbuf_raw_step)(GPUVertBufRaw *, const uchar); + if (format.attr_len == 0) { + if (!GPU_crappy_amd_driver()) { + /* Some AMD drivers strangely crash with a vbo with this format. */ + attr_id.wd = GPU_vertformat_attr_add( + &format, "wd", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + vertbuf_raw_step = vertbuf_raw_step_u8; + data.u = UCHAR_MAX; + } + else { + attr_id.wd = GPU_vertformat_attr_add(&format, "wd", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + vertbuf_raw_step = vertbuf_raw_step_u8_to_f32; + data.f = 1.0f; + } + } + const int poly_len = mesh_render_data_polys_len_get(rdata); + const int loop_len = mesh_render_data_loops_len_get(rdata); + const int edge_len = mesh_render_data_edges_len_get(rdata); + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, loop_len); + + GPUVertBufRaw wd_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.wd, &wd_step); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop; + BMFace *efa; + BMLoop *loop; + uint f; + + BM_ITER_MESH_INDEX (efa, &iter_efa, bm, BM_FACES_OF_MESH, f) { + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + float ratio = mesh_loop_edge_factor_get( + efa->no, loop->v->co, loop->v->no, loop->next->v->co); + vertbuf_raw_step(&wd_step, ratio * 255); + } + } + BLI_assert(GPU_vertbuf_raw_used(&wd_step) == loop_len); + } + else { + const MVert *mvert = rdata->mvert; + const MPoly *mpoly = rdata->mpoly; + const MLoop *mloop = rdata->mloop; + MEdge *medge = (MEdge *)rdata->medge; + bool use_edge_render = false; + + /* TODO(fclem) We don't need them to be packed. But we need rdata->poly_normals */ + mesh_render_data_ensure_poly_normals_pack(rdata); + + /* Reset flag */ + for (int edge = 0; edge < edge_len; ++edge) { + /* NOTE: not thread safe. */ + medge[edge].flag &= ~ME_EDGE_TMP_TAG; + + /* HACK(fclem) Feels like a hack. Detecting the need for edge render. */ + if ((medge[edge].flag & ME_EDGERENDER) == 0) { + use_edge_render = true; + } + } + + for (int a = 0; a < poly_len; a++, mpoly++) { + const float *fnor = rdata->poly_normals[a]; + for (int b = 0; b < mpoly->totloop; b++) { + const MLoop *ml1 = &mloop[mpoly->loopstart + b]; + const MLoop *ml2 = &mloop[mpoly->loopstart + (b + 1) % mpoly->totloop]; + + /* Will only work for edges that have an odd number of faces connected. */ + MEdge *ed = (MEdge *)rdata->medge + ml1->e; + ed->flag ^= ME_EDGE_TMP_TAG; + + if (use_edge_render) { + vertbuf_raw_step(&wd_step, (ed->flag & ME_EDGERENDER) ? 255 : 0); + } + else { + float vnor_f[3]; + normal_short_to_float_v3(vnor_f, mvert[ml1->v].no); + float ratio = mesh_loop_edge_factor_get( + fnor, mvert[ml1->v].co, vnor_f, mvert[ml2->v].co); + vertbuf_raw_step(&wd_step, ratio * 253 + 1); + } + } + } + /* Gather non-manifold edges. */ + for (int l = 0; l < loop_len; l++, mloop++) { + MEdge *ed = (MEdge *)rdata->medge + mloop->e; + if (ed->flag & ME_EDGE_TMP_TAG) { + GPU_vertbuf_attr_set(vbo, attr_id.wd, l, &data); + } + } + + BLI_assert(loop_len == GPU_vertbuf_raw_used(&wd_step)); + } + } + else { + BLI_assert(0); + } } static void mesh_create_loop_pos_and_nor(MeshRenderData *rdata, GPUVertBuf *vbo) { - /* TODO deduplicate format creation*/ - static GPUVertFormat format = { 0 }; - static struct { uint pos, nor; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.nor = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - const int poly_len = mesh_render_data_polys_len_get(rdata); - const int loop_len = mesh_render_data_loops_len_get(rdata); - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, loop_len); - - GPUVertBufRaw pos_step, nor_step; - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); - GPU_vertbuf_attr_get_raw_data(vbo, attr_id.nor, &nor_step); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - const GPUPackedNormal *vnor, *pnor; - const float (*lnors)[3] = rdata->loop_normals; - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop; - BMFace *efa; - BMLoop *loop; - uint f; - - if (rdata->loop_normals == NULL) { - mesh_render_data_ensure_poly_normals_pack(rdata); - mesh_render_data_ensure_vert_normals_pack(rdata); - vnor = rdata->vert_normals_pack; - pnor = rdata->poly_normals_pack; - } - - BM_ITER_MESH_INDEX (efa, &iter_efa, bm, BM_FACES_OF_MESH, f) { - const bool face_smooth = BM_elem_flag_test(efa, BM_ELEM_SMOOTH); - - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - BLI_assert(GPU_vertbuf_raw_used(&pos_step) == BM_elem_index_get(loop)); - copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), loop->v->co); - - if (lnors) { - GPUPackedNormal plnor = GPU_normal_convert_i10_v3(lnors[BM_elem_index_get(loop)]); - *((GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step)) = plnor; - } - else if (!face_smooth) { - *((GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step)) = pnor[f]; - } - else { - *((GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step)) = vnor[BM_elem_index_get(loop->v)]; - } - } - } - BLI_assert(GPU_vertbuf_raw_used(&pos_step) == loop_len); - } - else { - const MVert *mvert = rdata->mvert; - const MPoly *mpoly = rdata->mpoly; - - if (rdata->loop_normals == NULL) { - mesh_render_data_ensure_poly_normals_pack(rdata); - } - - for (int a = 0; a < poly_len; a++, mpoly++) { - const MLoop *mloop = rdata->mloop + mpoly->loopstart; - const float (*lnors)[3] = (rdata->loop_normals) ? &rdata->loop_normals[mpoly->loopstart] : NULL; - const GPUPackedNormal *fnor = (mpoly->flag & ME_SMOOTH) ? NULL : &rdata->poly_normals_pack[a]; - const int hide_select_flag = (mpoly->flag & ME_HIDE) ? -1 : ((mpoly->flag & ME_FACE_SEL) ? 1 : 0); - for (int b = 0; b < mpoly->totloop; b++, mloop++) { - copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), mvert[mloop->v].co); - GPUPackedNormal *pnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step); - if (lnors) { - *pnor = GPU_normal_convert_i10_v3(lnors[b]); - } - else if (fnor) { - *pnor = *fnor; - } - else { - *pnor = GPU_normal_convert_i10_s3(mvert[mloop->v].no); - } - pnor->w = hide_select_flag; - } - } - - BLI_assert(loop_len == GPU_vertbuf_raw_used(&pos_step)); - } - } - else { - const int *p_origindex = rdata->mapped.p_origindex; - const MVert *mvert = rdata->mvert; - const MPoly *mpoly = rdata->mpoly; - - if (rdata->loop_normals == NULL) { - mesh_render_data_ensure_poly_normals_pack(rdata); - } - - for (int a = 0; a < poly_len; a++, mpoly++) { - const MLoop *mloop = rdata->mloop + mpoly->loopstart; - const float (*lnors)[3] = (rdata->loop_normals) ? &rdata->loop_normals[mpoly->loopstart] : NULL; - const GPUPackedNormal *fnor = (mpoly->flag & ME_SMOOTH) ? NULL : &rdata->poly_normals_pack[a]; - if (p_origindex[a] == ORIGINDEX_NONE) { - continue; - } - for (int b = 0; b < mpoly->totloop; b++, mloop++) { - copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), mvert[mloop->v].co); - GPUPackedNormal *pnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step); - if (lnors) { - *pnor = GPU_normal_convert_i10_v3(lnors[b]); - } - else if (fnor) { - *pnor = *fnor; - } - else { - *pnor = GPU_normal_convert_i10_s3(mvert[mloop->v].no); - } - } - } - } - - int vbo_len_used = GPU_vertbuf_raw_used(&pos_step); - if (vbo_len_used < loop_len) { - GPU_vertbuf_data_resize(vbo, vbo_len_used); - } + /* TODO deduplicate format creation*/ + static GPUVertFormat format = {0}; + static struct { + uint pos, nor; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.nor = GPU_vertformat_attr_add( + &format, "nor", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + const int poly_len = mesh_render_data_polys_len_get(rdata); + const int loop_len = mesh_render_data_loops_len_get(rdata); + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, loop_len); + + GPUVertBufRaw pos_step, nor_step; + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.pos, &pos_step); + GPU_vertbuf_attr_get_raw_data(vbo, attr_id.nor, &nor_step); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + const GPUPackedNormal *vnor, *pnor; + const float(*lnors)[3] = rdata->loop_normals; + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop; + BMFace *efa; + BMLoop *loop; + uint f; + + if (rdata->loop_normals == NULL) { + mesh_render_data_ensure_poly_normals_pack(rdata); + mesh_render_data_ensure_vert_normals_pack(rdata); + vnor = rdata->vert_normals_pack; + pnor = rdata->poly_normals_pack; + } + + BM_ITER_MESH_INDEX (efa, &iter_efa, bm, BM_FACES_OF_MESH, f) { + const bool face_smooth = BM_elem_flag_test(efa, BM_ELEM_SMOOTH); + + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + BLI_assert(GPU_vertbuf_raw_used(&pos_step) == BM_elem_index_get(loop)); + copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), loop->v->co); + + if (lnors) { + GPUPackedNormal plnor = GPU_normal_convert_i10_v3(lnors[BM_elem_index_get(loop)]); + *((GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step)) = plnor; + } + else if (!face_smooth) { + *((GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step)) = pnor[f]; + } + else { + *((GPUPackedNormal *)GPU_vertbuf_raw_step( + &nor_step)) = vnor[BM_elem_index_get(loop->v)]; + } + } + } + BLI_assert(GPU_vertbuf_raw_used(&pos_step) == loop_len); + } + else { + const MVert *mvert = rdata->mvert; + const MPoly *mpoly = rdata->mpoly; + + if (rdata->loop_normals == NULL) { + mesh_render_data_ensure_poly_normals_pack(rdata); + } + + for (int a = 0; a < poly_len; a++, mpoly++) { + const MLoop *mloop = rdata->mloop + mpoly->loopstart; + const float(*lnors)[3] = (rdata->loop_normals) ? &rdata->loop_normals[mpoly->loopstart] : + NULL; + const GPUPackedNormal *fnor = (mpoly->flag & ME_SMOOTH) ? NULL : + &rdata->poly_normals_pack[a]; + const int hide_select_flag = (mpoly->flag & ME_HIDE) ? + -1 : + ((mpoly->flag & ME_FACE_SEL) ? 1 : 0); + for (int b = 0; b < mpoly->totloop; b++, mloop++) { + copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), mvert[mloop->v].co); + GPUPackedNormal *pnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step); + if (lnors) { + *pnor = GPU_normal_convert_i10_v3(lnors[b]); + } + else if (fnor) { + *pnor = *fnor; + } + else { + *pnor = GPU_normal_convert_i10_s3(mvert[mloop->v].no); + } + pnor->w = hide_select_flag; + } + } + + BLI_assert(loop_len == GPU_vertbuf_raw_used(&pos_step)); + } + } + else { + const int *p_origindex = rdata->mapped.p_origindex; + const MVert *mvert = rdata->mvert; + const MPoly *mpoly = rdata->mpoly; + + if (rdata->loop_normals == NULL) { + mesh_render_data_ensure_poly_normals_pack(rdata); + } + + for (int a = 0; a < poly_len; a++, mpoly++) { + const MLoop *mloop = rdata->mloop + mpoly->loopstart; + const float(*lnors)[3] = (rdata->loop_normals) ? &rdata->loop_normals[mpoly->loopstart] : + NULL; + const GPUPackedNormal *fnor = (mpoly->flag & ME_SMOOTH) ? NULL : + &rdata->poly_normals_pack[a]; + if (p_origindex[a] == ORIGINDEX_NONE) { + continue; + } + for (int b = 0; b < mpoly->totloop; b++, mloop++) { + copy_v3_v3(GPU_vertbuf_raw_step(&pos_step), mvert[mloop->v].co); + GPUPackedNormal *pnor = (GPUPackedNormal *)GPU_vertbuf_raw_step(&nor_step); + if (lnors) { + *pnor = GPU_normal_convert_i10_v3(lnors[b]); + } + else if (fnor) { + *pnor = *fnor; + } + else { + *pnor = GPU_normal_convert_i10_s3(mvert[mloop->v].no); + } + } + } + } + + int vbo_len_used = GPU_vertbuf_raw_used(&pos_step); + if (vbo_len_used < loop_len) { + GPU_vertbuf_data_resize(vbo, vbo_len_used); + } } static void mesh_create_loop_orco(MeshRenderData *rdata, GPUVertBuf *vbo) { - const uint loops_len = mesh_render_data_loops_len_get(rdata); - - /* initialize vertex format */ - GPUVertFormat format = { 0 }; - GPUVertBufRaw vbo_step; - - /* FIXME(fclem): We use the last component as a way to differentiate from generic vertex attribs. - * This is a substential waste of Vram and should be done another way. Unfortunately, - * at the time of writting, I did not found any other "non disruptive" alternative. */ - uint attr_id = GPU_vertformat_attr_add(&format, "orco", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, loops_len); - GPU_vertbuf_attr_get_raw_data(vbo, attr_id, &vbo_step); - - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop; - BMFace *efa; - BMLoop *loop; - - BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - float *data = (float *)GPU_vertbuf_raw_step(&vbo_step); - copy_v3_v3(data, rdata->orco[BM_elem_index_get(loop->v)]); - data[3] = 0.0; /* Tag as not a generic attrib */ - } - } - } - else { - for (uint l = 0; l < loops_len; l++) { - float *data = (float *)GPU_vertbuf_raw_step(&vbo_step); - copy_v3_v3(data, rdata->orco[rdata->mloop[l].v]); - data[3] = 0.0; /* Tag as not a generic attrib */ - } - } + const uint loops_len = mesh_render_data_loops_len_get(rdata); + + /* initialize vertex format */ + GPUVertFormat format = {0}; + GPUVertBufRaw vbo_step; + + /* FIXME(fclem): We use the last component as a way to differentiate from generic vertex attribs. + * This is a substential waste of Vram and should be done another way. Unfortunately, + * at the time of writting, I did not found any other "non disruptive" alternative. */ + uint attr_id = GPU_vertformat_attr_add(&format, "orco", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, loops_len); + GPU_vertbuf_attr_get_raw_data(vbo, attr_id, &vbo_step); + + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop; + BMFace *efa; + BMLoop *loop; + + BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + float *data = (float *)GPU_vertbuf_raw_step(&vbo_step); + copy_v3_v3(data, rdata->orco[BM_elem_index_get(loop->v)]); + data[3] = 0.0; /* Tag as not a generic attrib */ + } + } + } + else { + for (uint l = 0; l < loops_len; l++) { + float *data = (float *)GPU_vertbuf_raw_step(&vbo_step); + copy_v3_v3(data, rdata->orco[rdata->mloop[l].v]); + data[3] = 0.0; /* Tag as not a generic attrib */ + } + } } static void mesh_create_loop_uv_and_tan(MeshRenderData *rdata, GPUVertBuf *vbo) { - const uint loops_len = mesh_render_data_loops_len_get(rdata); - const uint uv_len = rdata->cd.layers.uv_len; - const uint tangent_len = rdata->cd.layers.tangent_len; - const uint layers_combined_len = uv_len + tangent_len; + const uint loops_len = mesh_render_data_loops_len_get(rdata); + const uint uv_len = rdata->cd.layers.uv_len; + const uint tangent_len = rdata->cd.layers.tangent_len; + const uint layers_combined_len = uv_len + tangent_len; - GPUVertBufRaw *layers_combined_step = BLI_array_alloca(layers_combined_step, layers_combined_len); - GPUVertBufRaw *uv_step = layers_combined_step; - GPUVertBufRaw *tangent_step = uv_step + uv_len; + GPUVertBufRaw *layers_combined_step = BLI_array_alloca(layers_combined_step, + layers_combined_len); + GPUVertBufRaw *uv_step = layers_combined_step; + GPUVertBufRaw *tangent_step = uv_step + uv_len; - uint *layers_combined_id = BLI_array_alloca(layers_combined_id, layers_combined_len); - uint *uv_id = layers_combined_id; - uint *tangent_id = uv_id + uv_len; + uint *layers_combined_id = BLI_array_alloca(layers_combined_id, layers_combined_len); + uint *uv_id = layers_combined_id; + uint *tangent_id = uv_id + uv_len; - /* initialize vertex format */ - GPUVertFormat format = { 0 }; + /* initialize vertex format */ + GPUVertFormat format = {0}; - for (uint i = 0; i < uv_len; i++) { - const char *attr_name = mesh_render_data_uv_layer_uuid_get(rdata, i); + for (uint i = 0; i < uv_len; i++) { + const char *attr_name = mesh_render_data_uv_layer_uuid_get(rdata, i); #if 0 /* these are clamped. Maybe use them as an option in the future */ - uv_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_I16, 2, GPU_FETCH_INT_TO_FLOAT_UNIT); + uv_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_I16, 2, GPU_FETCH_INT_TO_FLOAT_UNIT); #else - uv_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + uv_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); #endif - /* Auto Name */ - attr_name = mesh_render_data_uv_auto_layer_uuid_get(rdata, i); - GPU_vertformat_alias_add(&format, attr_name); - - if (i == rdata->cd.layers.uv_active) { - GPU_vertformat_alias_add(&format, "u"); - } - if (i == rdata->cd.layers.uv_mask_active) { - GPU_vertformat_alias_add(&format, "mu"); - } - } - - for (uint i = 0; i < tangent_len; i++) { - const char *attr_name = mesh_render_data_tangent_layer_uuid_get(rdata, i); + /* Auto Name */ + attr_name = mesh_render_data_uv_auto_layer_uuid_get(rdata, i); + GPU_vertformat_alias_add(&format, attr_name); + + if (i == rdata->cd.layers.uv_active) { + GPU_vertformat_alias_add(&format, "u"); + } + if (i == rdata->cd.layers.uv_mask_active) { + GPU_vertformat_alias_add(&format, "mu"); + } + } + + for (uint i = 0; i < tangent_len; i++) { + const char *attr_name = mesh_render_data_tangent_layer_uuid_get(rdata, i); #ifdef USE_COMP_MESH_DATA - tangent_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_I16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + tangent_id[i] = GPU_vertformat_attr_add( + &format, attr_name, GPU_COMP_I16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); #else - tangent_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + tangent_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_F32, 4, GPU_FETCH_FLOAT); #endif - if (i == rdata->cd.layers.tangent_active) { - GPU_vertformat_alias_add(&format, "t"); - } - } - - /* HACK: Create a dummy attribute in case there is no valid UV/tangent layer. */ - if (layers_combined_len == 0) { - GPU_vertformat_attr_add(&format, "dummy", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, loops_len); - - for (uint i = 0; i < uv_len; i++) { - GPU_vertbuf_attr_get_raw_data(vbo, uv_id[i], &uv_step[i]); - } - for (uint i = 0; i < tangent_len; i++) { - GPU_vertbuf_attr_get_raw_data(vbo, tangent_id[i], &tangent_step[i]); - } - - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop; - BMFace *efa; - BMLoop *loop; - - BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - /* UVs */ - for (uint j = 0; j < uv_len; j++) { - const uint layer_offset = rdata->cd.offset.uv[j]; - const float *elem = ((MLoopUV *)BM_ELEM_CD_GET_VOID_P(loop, layer_offset))->uv; - copy_v2_v2(GPU_vertbuf_raw_step(&uv_step[j]), elem); - } - /* TANGENTs */ - for (uint j = 0; j < tangent_len; j++) { - float (*layer_data)[4] = rdata->cd.layers.tangent[j]; - const float *elem = layer_data[BM_elem_index_get(loop)]; + if (i == rdata->cd.layers.tangent_active) { + GPU_vertformat_alias_add(&format, "t"); + } + } + + /* HACK: Create a dummy attribute in case there is no valid UV/tangent layer. */ + if (layers_combined_len == 0) { + GPU_vertformat_attr_add(&format, "dummy", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, loops_len); + + for (uint i = 0; i < uv_len; i++) { + GPU_vertbuf_attr_get_raw_data(vbo, uv_id[i], &uv_step[i]); + } + for (uint i = 0; i < tangent_len; i++) { + GPU_vertbuf_attr_get_raw_data(vbo, tangent_id[i], &tangent_step[i]); + } + + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop; + BMFace *efa; + BMLoop *loop; + + BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + /* UVs */ + for (uint j = 0; j < uv_len; j++) { + const uint layer_offset = rdata->cd.offset.uv[j]; + const float *elem = ((MLoopUV *)BM_ELEM_CD_GET_VOID_P(loop, layer_offset))->uv; + copy_v2_v2(GPU_vertbuf_raw_step(&uv_step[j]), elem); + } + /* TANGENTs */ + for (uint j = 0; j < tangent_len; j++) { + float(*layer_data)[4] = rdata->cd.layers.tangent[j]; + const float *elem = layer_data[BM_elem_index_get(loop)]; #ifdef USE_COMP_MESH_DATA - normal_float_to_short_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); + normal_float_to_short_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); #else - copy_v4_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); + copy_v4_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); #endif - } - } - } - } - else { - for (uint loop = 0; loop < loops_len; loop++) { - /* UVs */ - for (uint j = 0; j < uv_len; j++) { - const MLoopUV *layer_data = rdata->cd.layers.uv[j]; - const float *elem = layer_data[loop].uv; - copy_v2_v2(GPU_vertbuf_raw_step(&uv_step[j]), elem); - } - /* TANGENTs */ - for (uint j = 0; j < tangent_len; j++) { - float (*layer_data)[4] = rdata->cd.layers.tangent[j]; - const float *elem = layer_data[loop]; + } + } + } + } + else { + for (uint loop = 0; loop < loops_len; loop++) { + /* UVs */ + for (uint j = 0; j < uv_len; j++) { + const MLoopUV *layer_data = rdata->cd.layers.uv[j]; + const float *elem = layer_data[loop].uv; + copy_v2_v2(GPU_vertbuf_raw_step(&uv_step[j]), elem); + } + /* TANGENTs */ + for (uint j = 0; j < tangent_len; j++) { + float(*layer_data)[4] = rdata->cd.layers.tangent[j]; + const float *elem = layer_data[loop]; #ifdef USE_COMP_MESH_DATA - normal_float_to_short_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); + normal_float_to_short_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); #else - copy_v4_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); + copy_v4_v4(GPU_vertbuf_raw_step(&tangent_step[j]), elem); #endif - } - } - } + } + } + } #ifndef NDEBUG - /* Check all layers are write aligned. */ - if (layers_combined_len > 0) { - int vbo_len_used = GPU_vertbuf_raw_used(&layers_combined_step[0]); - for (uint i = 0; i < layers_combined_len; i++) { - BLI_assert(vbo_len_used == GPU_vertbuf_raw_used(&layers_combined_step[i])); - } - } + /* Check all layers are write aligned. */ + if (layers_combined_len > 0) { + int vbo_len_used = GPU_vertbuf_raw_used(&layers_combined_step[0]); + for (uint i = 0; i < layers_combined_len; i++) { + BLI_assert(vbo_len_used == GPU_vertbuf_raw_used(&layers_combined_step[i])); + } + } #endif #undef USE_COMP_MESH_DATA @@ -3141,999 +3235,1011 @@ static void mesh_create_loop_uv_and_tan(MeshRenderData *rdata, GPUVertBuf *vbo) static void mesh_create_loop_vcol(MeshRenderData *rdata, GPUVertBuf *vbo) { - const uint loops_len = mesh_render_data_loops_len_get(rdata); - const uint vcol_len = rdata->cd.layers.vcol_len; - - GPUVertBufRaw *vcol_step = BLI_array_alloca(vcol_step, vcol_len); - uint *vcol_id = BLI_array_alloca(vcol_id, vcol_len); - - /* initialize vertex format */ - GPUVertFormat format = { 0 }; - - for (uint i = 0; i < vcol_len; i++) { - const char *attr_name = mesh_render_data_vcol_layer_uuid_get(rdata, i); - vcol_id[i] = GPU_vertformat_attr_add(&format, attr_name, GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - /* Auto layer */ - if (rdata->cd.layers.auto_vcol[i]) { - attr_name = mesh_render_data_vcol_auto_layer_uuid_get(rdata, i); - GPU_vertformat_alias_add(&format, attr_name); - } - if (i == rdata->cd.layers.vcol_active) { - GPU_vertformat_alias_add(&format, "c"); - } - } - - GPU_vertbuf_init_with_format(vbo, &format); - GPU_vertbuf_data_alloc(vbo, loops_len); - - for (uint i = 0; i < vcol_len; i++) { - GPU_vertbuf_attr_get_raw_data(vbo, vcol_id[i], &vcol_step[i]); - } - - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter_efa, iter_loop; - BMFace *efa; - BMLoop *loop; - - BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { - BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { - for (uint j = 0; j < vcol_len; j++) { - const uint layer_offset = rdata->cd.offset.vcol[j]; - const uchar *elem = &((MLoopCol *)BM_ELEM_CD_GET_VOID_P(loop, layer_offset))->r; - copy_v3_v3_uchar(GPU_vertbuf_raw_step(&vcol_step[j]), elem); - } - } - } - } - else { - for (uint loop = 0; loop < loops_len; loop++) { - for (uint j = 0; j < vcol_len; j++) { - const MLoopCol *layer_data = rdata->cd.layers.vcol[j]; - const uchar *elem = &layer_data[loop].r; - copy_v3_v3_uchar(GPU_vertbuf_raw_step(&vcol_step[j]), elem); - } - } - } + const uint loops_len = mesh_render_data_loops_len_get(rdata); + const uint vcol_len = rdata->cd.layers.vcol_len; + + GPUVertBufRaw *vcol_step = BLI_array_alloca(vcol_step, vcol_len); + uint *vcol_id = BLI_array_alloca(vcol_id, vcol_len); + + /* initialize vertex format */ + GPUVertFormat format = {0}; + + for (uint i = 0; i < vcol_len; i++) { + const char *attr_name = mesh_render_data_vcol_layer_uuid_get(rdata, i); + vcol_id[i] = GPU_vertformat_attr_add( + &format, attr_name, GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + /* Auto layer */ + if (rdata->cd.layers.auto_vcol[i]) { + attr_name = mesh_render_data_vcol_auto_layer_uuid_get(rdata, i); + GPU_vertformat_alias_add(&format, attr_name); + } + if (i == rdata->cd.layers.vcol_active) { + GPU_vertformat_alias_add(&format, "c"); + } + } + + GPU_vertbuf_init_with_format(vbo, &format); + GPU_vertbuf_data_alloc(vbo, loops_len); + + for (uint i = 0; i < vcol_len; i++) { + GPU_vertbuf_attr_get_raw_data(vbo, vcol_id[i], &vcol_step[i]); + } + + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter_efa, iter_loop; + BMFace *efa; + BMLoop *loop; + + BM_ITER_MESH (efa, &iter_efa, bm, BM_FACES_OF_MESH) { + BM_ITER_ELEM (loop, &iter_loop, efa, BM_LOOPS_OF_FACE) { + for (uint j = 0; j < vcol_len; j++) { + const uint layer_offset = rdata->cd.offset.vcol[j]; + const uchar *elem = &((MLoopCol *)BM_ELEM_CD_GET_VOID_P(loop, layer_offset))->r; + copy_v3_v3_uchar(GPU_vertbuf_raw_step(&vcol_step[j]), elem); + } + } + } + } + else { + for (uint loop = 0; loop < loops_len; loop++) { + for (uint j = 0; j < vcol_len; j++) { + const MLoopCol *layer_data = rdata->cd.layers.vcol[j]; + const uchar *elem = &layer_data[loop].r; + copy_v3_v3_uchar(GPU_vertbuf_raw_step(&vcol_step[j]), elem); + } + } + } #ifndef NDEBUG - /* Check all layers are write aligned. */ - if (vcol_len > 0) { - int vbo_len_used = GPU_vertbuf_raw_used(&vcol_step[0]); - for (uint i = 0; i < vcol_len; i++) { - BLI_assert(vbo_len_used == GPU_vertbuf_raw_used(&vcol_step[i])); - } - } + /* Check all layers are write aligned. */ + if (vcol_len > 0) { + int vbo_len_used = GPU_vertbuf_raw_used(&vcol_step[0]); + for (uint i = 0; i < vcol_len; i++) { + BLI_assert(vbo_len_used == GPU_vertbuf_raw_used(&vcol_step[i])); + } + } #endif #undef USE_COMP_MESH_DATA } -static void mesh_create_edit_facedots( - MeshRenderData *rdata, - GPUVertBuf *vbo_facedots_pos_nor_data) +static void mesh_create_edit_facedots(MeshRenderData *rdata, GPUVertBuf *vbo_facedots_pos_nor_data) { - const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - const int verts_facedot_len = poly_len; - int facedot_len_used = 0; - - static struct { uint fdot_pos, fdot_nor_flag; } attr_id; - static GPUVertFormat facedot_format = { 0 }; - if (facedot_format.attr_len == 0) { - attr_id.fdot_pos = GPU_vertformat_attr_add(&facedot_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.fdot_nor_flag = GPU_vertformat_attr_add(&facedot_format, "norAndFlag", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - - if (DRW_TEST_ASSIGN_VBO(vbo_facedots_pos_nor_data)) { - GPU_vertbuf_init_with_format(vbo_facedots_pos_nor_data, &facedot_format); - GPU_vertbuf_data_alloc(vbo_facedots_pos_nor_data, verts_facedot_len); - /* TODO(fclem): Maybe move data generation to mesh_render_data_create() */ - if (rdata->edit_bmesh) { - if (rdata->edit_data && rdata->edit_data->vertexCos != NULL) { - BKE_editmesh_cache_ensure_poly_normals(rdata->edit_bmesh, rdata->edit_data); - BKE_editmesh_cache_ensure_poly_centers(rdata->edit_bmesh, rdata->edit_data); - } - } - } - - if (rdata->mapped.use == false) { - for (int i = 0; i < poly_len; i++) { - if (add_edit_facedot(rdata, vbo_facedots_pos_nor_data, - attr_id.fdot_pos, attr_id.fdot_nor_flag, - i, facedot_len_used)) - { - facedot_len_used += 1; - } - } - } - else { + const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + const int verts_facedot_len = poly_len; + int facedot_len_used = 0; + + static struct { + uint fdot_pos, fdot_nor_flag; + } attr_id; + static GPUVertFormat facedot_format = {0}; + if (facedot_format.attr_len == 0) { + attr_id.fdot_pos = GPU_vertformat_attr_add( + &facedot_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.fdot_nor_flag = GPU_vertformat_attr_add( + &facedot_format, "norAndFlag", GPU_COMP_I10, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + + if (DRW_TEST_ASSIGN_VBO(vbo_facedots_pos_nor_data)) { + GPU_vertbuf_init_with_format(vbo_facedots_pos_nor_data, &facedot_format); + GPU_vertbuf_data_alloc(vbo_facedots_pos_nor_data, verts_facedot_len); + /* TODO(fclem): Maybe move data generation to mesh_render_data_create() */ + if (rdata->edit_bmesh) { + if (rdata->edit_data && rdata->edit_data->vertexCos != NULL) { + BKE_editmesh_cache_ensure_poly_normals(rdata->edit_bmesh, rdata->edit_data); + BKE_editmesh_cache_ensure_poly_centers(rdata->edit_bmesh, rdata->edit_data); + } + } + } + + if (rdata->mapped.use == false) { + for (int i = 0; i < poly_len; i++) { + if (add_edit_facedot(rdata, + vbo_facedots_pos_nor_data, + attr_id.fdot_pos, + attr_id.fdot_nor_flag, + i, + facedot_len_used)) { + facedot_len_used += 1; + } + } + } + else { #if 0 /* TODO(fclem): Mapped facedots are not following the original face. */ - Mesh *me_cage = rdata->mapped.me_cage; - const MVert *mvert = me_cage->mvert; - const MEdge *medge = me_cage->medge; - const int *e_origindex = rdata->mapped.e_origindex; - const int *v_origindex = rdata->mapped.v_origindex; + Mesh *me_cage = rdata->mapped.me_cage; + const MVert *mvert = me_cage->mvert; + const MEdge *medge = me_cage->medge; + const int *e_origindex = rdata->mapped.e_origindex; + const int *v_origindex = rdata->mapped.v_origindex; #endif - for (int i = 0; i < poly_len; i++) { - if (add_edit_facedot_mapped(rdata, vbo_facedots_pos_nor_data, - attr_id.fdot_pos, attr_id.fdot_nor_flag, - i, facedot_len_used)) - { - facedot_len_used += 1; - } - } - } - - /* Resize & Finish */ - if (facedot_len_used != verts_facedot_len) { - if (vbo_facedots_pos_nor_data != NULL) { - GPU_vertbuf_data_resize(vbo_facedots_pos_nor_data, facedot_len_used); - } - } + for (int i = 0; i < poly_len; i++) { + if (add_edit_facedot_mapped(rdata, + vbo_facedots_pos_nor_data, + attr_id.fdot_pos, + attr_id.fdot_nor_flag, + i, + facedot_len_used)) { + facedot_len_used += 1; + } + } + } + + /* Resize & Finish */ + if (facedot_len_used != verts_facedot_len) { + if (vbo_facedots_pos_nor_data != NULL) { + GPU_vertbuf_data_resize(vbo_facedots_pos_nor_data, facedot_len_used); + } + } } /* Indices */ #define NO_EDGE INT_MAX -static void mesh_create_edges_adjacency_lines( - MeshRenderData *rdata, GPUIndexBuf *ibo, bool *r_is_manifold, const bool use_hide) +static void mesh_create_edges_adjacency_lines(MeshRenderData *rdata, + GPUIndexBuf *ibo, + bool *r_is_manifold, + const bool use_hide) { - const MLoopTri *mlooptri; - const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int tri_len = mesh_render_data_looptri_len_get_maybe_mapped(rdata); - - *r_is_manifold = true; - - /* Allocate max but only used indices are sent to GPU. */ - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, tri_len * 3, vert_len); - - if (rdata->mapped.use) { - Mesh *me_cage = rdata->mapped.me_cage; - mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); - } - else { - mlooptri = rdata->mlooptri; - } - - EdgeHash *eh = BLI_edgehash_new_ex(__func__, tri_len * 3); - /* Create edges for each pair of triangles sharing an edge. */ - for (int i = 0; i < tri_len; i++) { - for (int e = 0; e < 3; e++) { - uint v0, v1, v2; - if (rdata->mapped.use) { - const MLoop *mloop = rdata->mloop; - const MLoopTri *mlt = mlooptri + i; - const int p_orig = rdata->mapped.p_origindex[mlt->poly]; - if (p_orig != ORIGINDEX_NONE) { - BMesh *bm = rdata->edit_bmesh->bm; - BMFace *efa = BM_face_at_index(bm, p_orig); - /* Assume 'use_hide' */ - if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - break; - } - } - v0 = mloop[mlt->tri[e]].v; - v1 = mloop[mlt->tri[(e + 1) % 3]].v; - v2 = mloop[mlt->tri[(e + 2) % 3]].v; - } - else if (rdata->edit_bmesh) { - const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; - if (BM_elem_flag_test(bm_looptri[0]->f, BM_ELEM_HIDDEN)) { - break; - } - v0 = BM_elem_index_get(bm_looptri[e]->v); - v1 = BM_elem_index_get(bm_looptri[(e + 1) % 3]->v); - v2 = BM_elem_index_get(bm_looptri[(e + 2) % 3]->v); - } - else { - const MLoop *mloop = rdata->mloop; - const MLoopTri *mlt = mlooptri + i; - const MPoly *mp = &rdata->mpoly[mlt->poly]; - if (use_hide && (mp->flag & ME_HIDE)) { - break; - } - v0 = mloop[mlt->tri[e]].v; - v1 = mloop[mlt->tri[(e + 1) % 3]].v; - v2 = mloop[mlt->tri[(e + 2) % 3]].v; - } - bool inv_indices = (v1 > v2); - void **pval; - bool value_is_init = BLI_edgehash_ensure_p(eh, v1, v2, &pval); - int v_data = POINTER_AS_INT(*pval); - if (!value_is_init || v_data == NO_EDGE) { - /* Save the winding order inside the sign bit. Because the - * edgehash sort the keys and we need to compare winding later. */ - int value = (int)v0 + 1; /* Int 0 bm_looptricannot be signed */ - *pval = POINTER_FROM_INT((inv_indices) ? -value : value); - } - else { - /* HACK Tag as not used. Prevent overhead of BLI_edgehash_remove. */ - *pval = POINTER_FROM_INT(NO_EDGE); - bool inv_opposite = (v_data < 0); - uint v_opposite = (uint)abs(v_data) - 1; - - if (inv_opposite == inv_indices) { - /* Don't share edge if triangles have non matching winding. */ - GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); - GPU_indexbuf_add_line_adj_verts(&elb, v_opposite, v1, v2, v_opposite); - *r_is_manifold = false; - } - else { - GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v_opposite); - } - } - } - } - /* Create edges for remaning non manifold edges. */ - EdgeHashIterator *ehi; - for (ehi = BLI_edgehashIterator_new(eh); - BLI_edgehashIterator_isDone(ehi) == false; - BLI_edgehashIterator_step(ehi)) - { - uint v1, v2; - int v_data = POINTER_AS_INT(BLI_edgehashIterator_getValue(ehi)); - if (v_data == NO_EDGE) { - continue; - } - BLI_edgehashIterator_getKey(ehi, &v1, &v2); - uint v0 = (uint)abs(v_data) - 1; - if (v_data < 0) { /* inv_opposite */ - SWAP(uint, v1, v2); - } - GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); - *r_is_manifold = false; - } - BLI_edgehashIterator_free(ehi); - BLI_edgehash_free(eh, NULL); - - GPU_indexbuf_build_in_place(&elb, ibo); + const MLoopTri *mlooptri; + const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int tri_len = mesh_render_data_looptri_len_get_maybe_mapped(rdata); + + *r_is_manifold = true; + + /* Allocate max but only used indices are sent to GPU. */ + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES_ADJ, tri_len * 3, vert_len); + + if (rdata->mapped.use) { + Mesh *me_cage = rdata->mapped.me_cage; + mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); + } + else { + mlooptri = rdata->mlooptri; + } + + EdgeHash *eh = BLI_edgehash_new_ex(__func__, tri_len * 3); + /* Create edges for each pair of triangles sharing an edge. */ + for (int i = 0; i < tri_len; i++) { + for (int e = 0; e < 3; e++) { + uint v0, v1, v2; + if (rdata->mapped.use) { + const MLoop *mloop = rdata->mloop; + const MLoopTri *mlt = mlooptri + i; + const int p_orig = rdata->mapped.p_origindex[mlt->poly]; + if (p_orig != ORIGINDEX_NONE) { + BMesh *bm = rdata->edit_bmesh->bm; + BMFace *efa = BM_face_at_index(bm, p_orig); + /* Assume 'use_hide' */ + if (BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + break; + } + } + v0 = mloop[mlt->tri[e]].v; + v1 = mloop[mlt->tri[(e + 1) % 3]].v; + v2 = mloop[mlt->tri[(e + 2) % 3]].v; + } + else if (rdata->edit_bmesh) { + const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; + if (BM_elem_flag_test(bm_looptri[0]->f, BM_ELEM_HIDDEN)) { + break; + } + v0 = BM_elem_index_get(bm_looptri[e]->v); + v1 = BM_elem_index_get(bm_looptri[(e + 1) % 3]->v); + v2 = BM_elem_index_get(bm_looptri[(e + 2) % 3]->v); + } + else { + const MLoop *mloop = rdata->mloop; + const MLoopTri *mlt = mlooptri + i; + const MPoly *mp = &rdata->mpoly[mlt->poly]; + if (use_hide && (mp->flag & ME_HIDE)) { + break; + } + v0 = mloop[mlt->tri[e]].v; + v1 = mloop[mlt->tri[(e + 1) % 3]].v; + v2 = mloop[mlt->tri[(e + 2) % 3]].v; + } + bool inv_indices = (v1 > v2); + void **pval; + bool value_is_init = BLI_edgehash_ensure_p(eh, v1, v2, &pval); + int v_data = POINTER_AS_INT(*pval); + if (!value_is_init || v_data == NO_EDGE) { + /* Save the winding order inside the sign bit. Because the + * edgehash sort the keys and we need to compare winding later. */ + int value = (int)v0 + 1; /* Int 0 bm_looptricannot be signed */ + *pval = POINTER_FROM_INT((inv_indices) ? -value : value); + } + else { + /* HACK Tag as not used. Prevent overhead of BLI_edgehash_remove. */ + *pval = POINTER_FROM_INT(NO_EDGE); + bool inv_opposite = (v_data < 0); + uint v_opposite = (uint)abs(v_data) - 1; + + if (inv_opposite == inv_indices) { + /* Don't share edge if triangles have non matching winding. */ + GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); + GPU_indexbuf_add_line_adj_verts(&elb, v_opposite, v1, v2, v_opposite); + *r_is_manifold = false; + } + else { + GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v_opposite); + } + } + } + } + /* Create edges for remaning non manifold edges. */ + EdgeHashIterator *ehi; + for (ehi = BLI_edgehashIterator_new(eh); BLI_edgehashIterator_isDone(ehi) == false; + BLI_edgehashIterator_step(ehi)) { + uint v1, v2; + int v_data = POINTER_AS_INT(BLI_edgehashIterator_getValue(ehi)); + if (v_data == NO_EDGE) { + continue; + } + BLI_edgehashIterator_getKey(ehi, &v1, &v2); + uint v0 = (uint)abs(v_data) - 1; + if (v_data < 0) { /* inv_opposite */ + SWAP(uint, v1, v2); + } + GPU_indexbuf_add_line_adj_verts(&elb, v0, v1, v2, v0); + *r_is_manifold = false; + } + BLI_edgehashIterator_free(ehi); + BLI_edgehash_free(eh, NULL); + + GPU_indexbuf_build_in_place(&elb, ibo); } #undef NO_EDGE static void mesh_create_edges_lines(MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) { - const int verts_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int edges_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edges_len, verts_len); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter; - BMEdge *eed; - - BM_ITER_MESH (eed, &iter, bm, BM_EDGES_OF_MESH) { - /* use_hide always for edit-mode */ - if (BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { - continue; - } - GPU_indexbuf_add_line_verts(&elb, BM_elem_index_get(eed->v1), BM_elem_index_get(eed->v2)); - } - } - else { - const MEdge *ed = rdata->medge; - for (int i = 0; i < edges_len; i++, ed++) { - if ((ed->flag & ME_EDGERENDER) == 0) { - continue; - } - if (!(use_hide && (ed->flag & ME_HIDE))) { - GPU_indexbuf_add_line_verts(&elb, ed->v1, ed->v2); - } - } - } - } - else { - BMesh *bm = rdata->edit_bmesh->bm; - const MEdge *edge = rdata->medge; - for (int i = 0; i < edges_len; i++, edge++) { - const int p_orig = rdata->mapped.e_origindex[i]; - if (p_orig != ORIGINDEX_NONE) { - BMEdge *eed = BM_edge_at_index(bm, p_orig); - if (!BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { - GPU_indexbuf_add_line_verts(&elb, edge->v1, edge->v2); - } - } - } - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int verts_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int edges_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edges_len, verts_len); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter; + BMEdge *eed; + + BM_ITER_MESH (eed, &iter, bm, BM_EDGES_OF_MESH) { + /* use_hide always for edit-mode */ + if (BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { + continue; + } + GPU_indexbuf_add_line_verts(&elb, BM_elem_index_get(eed->v1), BM_elem_index_get(eed->v2)); + } + } + else { + const MEdge *ed = rdata->medge; + for (int i = 0; i < edges_len; i++, ed++) { + if ((ed->flag & ME_EDGERENDER) == 0) { + continue; + } + if (!(use_hide && (ed->flag & ME_HIDE))) { + GPU_indexbuf_add_line_verts(&elb, ed->v1, ed->v2); + } + } + } + } + else { + BMesh *bm = rdata->edit_bmesh->bm; + const MEdge *edge = rdata->medge; + for (int i = 0; i < edges_len; i++, edge++) { + const int p_orig = rdata->mapped.e_origindex[i]; + if (p_orig != ORIGINDEX_NONE) { + BMEdge *eed = BM_edge_at_index(bm, p_orig); + if (!BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { + GPU_indexbuf_add_line_verts(&elb, edge->v1, edge->v2); + } + } + } + } + + GPU_indexbuf_build_in_place(&elb, ibo); } static void mesh_create_surf_tris(MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) { - const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int tri_len = mesh_render_data_looptri_len_get(rdata); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, vert_len * 3); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - for (int i = 0; i < tri_len; i++) { - const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; - const BMFace *bm_face = bm_looptri[0]->f; - /* use_hide always for edit-mode */ - if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { - continue; - } - GPU_indexbuf_add_tri_verts( - &elb, - BM_elem_index_get(bm_looptri[0]->v), - BM_elem_index_get(bm_looptri[1]->v), - BM_elem_index_get(bm_looptri[2]->v)); - } - } - else { - const MLoop *loops = rdata->mloop; - for (int i = 0; i < tri_len; i++) { - const MLoopTri *mlt = &rdata->mlooptri[i]; - const MPoly *mp = &rdata->mpoly[mlt->poly]; - if (use_hide && (mp->flag & ME_HIDE)) { - continue; - } - GPU_indexbuf_add_tri_verts(&elb, loops[mlt->tri[0]].v, loops[mlt->tri[1]].v, loops[mlt->tri[2]].v); - } - } - } - else { - /* Note: mapped doesn't support lnors yet. */ - BMesh *bm = rdata->edit_bmesh->bm; - Mesh *me_cage = rdata->mapped.me_cage; - - const MLoop *loops = rdata->mloop; - const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); - for (int i = 0; i < tri_len; i++) { - const MLoopTri *mlt = &mlooptri[i]; - const int p_orig = rdata->mapped.p_origindex[mlt->poly]; - if (p_orig != ORIGINDEX_NONE) { - /* Assume 'use_hide' */ - BMFace *efa = BM_face_at_index(bm, p_orig); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - GPU_indexbuf_add_tri_verts(&elb, loops[mlt->tri[0]].v, loops[mlt->tri[1]].v, loops[mlt->tri[2]].v); - } - } - } - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int tri_len = mesh_render_data_looptri_len_get(rdata); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, vert_len * 3); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + for (int i = 0; i < tri_len; i++) { + const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; + const BMFace *bm_face = bm_looptri[0]->f; + /* use_hide always for edit-mode */ + if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { + continue; + } + GPU_indexbuf_add_tri_verts(&elb, + BM_elem_index_get(bm_looptri[0]->v), + BM_elem_index_get(bm_looptri[1]->v), + BM_elem_index_get(bm_looptri[2]->v)); + } + } + else { + const MLoop *loops = rdata->mloop; + for (int i = 0; i < tri_len; i++) { + const MLoopTri *mlt = &rdata->mlooptri[i]; + const MPoly *mp = &rdata->mpoly[mlt->poly]; + if (use_hide && (mp->flag & ME_HIDE)) { + continue; + } + GPU_indexbuf_add_tri_verts( + &elb, loops[mlt->tri[0]].v, loops[mlt->tri[1]].v, loops[mlt->tri[2]].v); + } + } + } + else { + /* Note: mapped doesn't support lnors yet. */ + BMesh *bm = rdata->edit_bmesh->bm; + Mesh *me_cage = rdata->mapped.me_cage; + + const MLoop *loops = rdata->mloop; + const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); + for (int i = 0; i < tri_len; i++) { + const MLoopTri *mlt = &mlooptri[i]; + const int p_orig = rdata->mapped.p_origindex[mlt->poly]; + if (p_orig != ORIGINDEX_NONE) { + /* Assume 'use_hide' */ + BMFace *efa = BM_face_at_index(bm, p_orig); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + GPU_indexbuf_add_tri_verts( + &elb, loops[mlt->tri[0]].v, loops[mlt->tri[1]].v, loops[mlt->tri[2]].v); + } + } + } + } + + GPU_indexbuf_build_in_place(&elb, ibo); } -static void mesh_create_loops_lines( - MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) +static void mesh_create_loops_lines(MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) { - const int edge_len = mesh_render_data_edges_len_get(rdata); - const int loop_len = mesh_render_data_loops_len_get(rdata); - const int poly_len = mesh_render_data_polys_len_get(rdata); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, loop_len); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter; - BMEdge *bm_edge; - - BM_ITER_MESH (bm_edge, &iter, bm, BM_EDGES_OF_MESH) { - /* use_hide always for edit-mode */ - if (!BM_elem_flag_test(bm_edge, BM_ELEM_HIDDEN) && - bm_edge->l != NULL) - { - BMLoop *bm_loop1 = bm_vert_find_first_loop_visible_inline(bm_edge->v1); - BMLoop *bm_loop2 = bm_vert_find_first_loop_visible_inline(bm_edge->v2); - int v1 = BM_elem_index_get(bm_loop1); - int v2 = BM_elem_index_get(bm_loop2); - if (v1 > v2) { - SWAP(int, v1, v2); - } - GPU_indexbuf_add_line_verts(&elb, v1, v2); - } - } - } - else { - MLoop *mloop = (MLoop *)rdata->mloop; - MEdge *medge = (MEdge *)rdata->medge; - - /* Reset flag */ - for (int edge = 0; edge < edge_len; ++edge) { - /* NOTE: not thread safe. */ - medge[edge].flag &= ~ME_EDGE_TMP_TAG; - } - - for (int poly = 0; poly < poly_len; poly++) { - const MPoly *mp = &rdata->mpoly[poly]; - if (!(use_hide && (mp->flag & ME_HIDE))) { - for (int j = 0; j < mp->totloop; j++) { - MEdge *ed = (MEdge *)rdata->medge + mloop[mp->loopstart + j].e; - if ((ed->flag & ME_EDGE_TMP_TAG) == 0) { - ed->flag |= ME_EDGE_TMP_TAG; - int v1 = mp->loopstart + j; - int v2 = mp->loopstart + (j + 1) % mp->totloop; - GPU_indexbuf_add_line_verts(&elb, v1, v2); - } - } - } - } - } - } - else { - /* Implement ... eventually if needed. */ - BLI_assert(0); - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int edge_len = mesh_render_data_edges_len_get(rdata); + const int loop_len = mesh_render_data_loops_len_get(rdata); + const int poly_len = mesh_render_data_polys_len_get(rdata); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, loop_len); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter; + BMEdge *bm_edge; + + BM_ITER_MESH (bm_edge, &iter, bm, BM_EDGES_OF_MESH) { + /* use_hide always for edit-mode */ + if (!BM_elem_flag_test(bm_edge, BM_ELEM_HIDDEN) && bm_edge->l != NULL) { + BMLoop *bm_loop1 = bm_vert_find_first_loop_visible_inline(bm_edge->v1); + BMLoop *bm_loop2 = bm_vert_find_first_loop_visible_inline(bm_edge->v2); + int v1 = BM_elem_index_get(bm_loop1); + int v2 = BM_elem_index_get(bm_loop2); + if (v1 > v2) { + SWAP(int, v1, v2); + } + GPU_indexbuf_add_line_verts(&elb, v1, v2); + } + } + } + else { + MLoop *mloop = (MLoop *)rdata->mloop; + MEdge *medge = (MEdge *)rdata->medge; + + /* Reset flag */ + for (int edge = 0; edge < edge_len; ++edge) { + /* NOTE: not thread safe. */ + medge[edge].flag &= ~ME_EDGE_TMP_TAG; + } + + for (int poly = 0; poly < poly_len; poly++) { + const MPoly *mp = &rdata->mpoly[poly]; + if (!(use_hide && (mp->flag & ME_HIDE))) { + for (int j = 0; j < mp->totloop; j++) { + MEdge *ed = (MEdge *)rdata->medge + mloop[mp->loopstart + j].e; + if ((ed->flag & ME_EDGE_TMP_TAG) == 0) { + ed->flag |= ME_EDGE_TMP_TAG; + int v1 = mp->loopstart + j; + int v2 = mp->loopstart + (j + 1) % mp->totloop; + GPU_indexbuf_add_line_verts(&elb, v1, v2); + } + } + } + } + } + } + else { + /* Implement ... eventually if needed. */ + BLI_assert(0); + } + + GPU_indexbuf_build_in_place(&elb, ibo); } -static void mesh_create_loops_line_strips( - MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) +static void mesh_create_loops_line_strips(MeshRenderData *rdata, + GPUIndexBuf *ibo, + const bool use_hide) { - const int loop_len = mesh_render_data_loops_len_get(rdata); - const int poly_len = mesh_render_data_polys_len_get(rdata); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, loop_len + poly_len * 2, loop_len, true); - - uint v_index = 0; - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter; - BMFace *bm_face; - - BM_ITER_MESH (bm_face, &iter, bm, BM_FACES_OF_MESH) { - /* use_hide always for edit-mode */ - if (!BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { - for (int i = 0; i < bm_face->len; i++) { - GPU_indexbuf_add_generic_vert(&elb, v_index + i); - } - /* Finish loop and restart primitive. */ - GPU_indexbuf_add_generic_vert(&elb, v_index); - GPU_indexbuf_add_primitive_restart(&elb); - } - v_index += bm_face->len; - } - } - else { - for (int poly = 0; poly < poly_len; poly++) { - const MPoly *mp = &rdata->mpoly[poly]; - if (!(use_hide && (mp->flag & ME_HIDE))) { - const int loopend = mp->loopstart + mp->totloop; - for (int j = mp->loopstart; j < loopend; j++) { - GPU_indexbuf_add_generic_vert(&elb, j); - } - /* Finish loop and restart primitive. */ - GPU_indexbuf_add_generic_vert(&elb, mp->loopstart); - GPU_indexbuf_add_primitive_restart(&elb); - } - v_index += mp->totloop; - } - } - } - else { - /* Implement ... eventually if needed. */ - BLI_assert(0); - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int loop_len = mesh_render_data_loops_len_get(rdata); + const int poly_len = mesh_render_data_polys_len_get(rdata); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex(&elb, GPU_PRIM_LINE_STRIP, loop_len + poly_len * 2, loop_len, true); + + uint v_index = 0; + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter; + BMFace *bm_face; + + BM_ITER_MESH (bm_face, &iter, bm, BM_FACES_OF_MESH) { + /* use_hide always for edit-mode */ + if (!BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { + for (int i = 0; i < bm_face->len; i++) { + GPU_indexbuf_add_generic_vert(&elb, v_index + i); + } + /* Finish loop and restart primitive. */ + GPU_indexbuf_add_generic_vert(&elb, v_index); + GPU_indexbuf_add_primitive_restart(&elb); + } + v_index += bm_face->len; + } + } + else { + for (int poly = 0; poly < poly_len; poly++) { + const MPoly *mp = &rdata->mpoly[poly]; + if (!(use_hide && (mp->flag & ME_HIDE))) { + const int loopend = mp->loopstart + mp->totloop; + for (int j = mp->loopstart; j < loopend; j++) { + GPU_indexbuf_add_generic_vert(&elb, j); + } + /* Finish loop and restart primitive. */ + GPU_indexbuf_add_generic_vert(&elb, mp->loopstart); + GPU_indexbuf_add_primitive_restart(&elb); + } + v_index += mp->totloop; + } + } + } + else { + /* Implement ... eventually if needed. */ + BLI_assert(0); + } + + GPU_indexbuf_build_in_place(&elb, ibo); } -static void mesh_create_loose_edges_lines( - MeshRenderData *rdata, GPUIndexBuf *ibo, const bool use_hide) +static void mesh_create_loose_edges_lines(MeshRenderData *rdata, + GPUIndexBuf *ibo, + const bool use_hide) { - const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); - - /* Alloc max (edge_len) and upload only needed range. */ - GPUIndexBufBuilder elb; - GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, vert_len); - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - /* No need to support since edit mesh already draw them. - * But some engines may want them ... */ - BMesh *bm = rdata->edit_bmesh->bm; - BMIter eiter; - BMEdge *eed; - BM_ITER_MESH(eed, &eiter, bm, BM_EDGES_OF_MESH) { - if (bm_edge_is_loose_and_visible(eed)) { - GPU_indexbuf_add_line_verts(&elb, BM_elem_index_get(eed->v1), BM_elem_index_get(eed->v2)); - } - } - } - else { - for (int i = 0; i < edge_len; i++) { - const MEdge *medge = &rdata->medge[i]; - if ((medge->flag & ME_LOOSEEDGE) && - !(use_hide && (medge->flag & ME_HIDE))) - { - GPU_indexbuf_add_line_verts(&elb, medge->v1, medge->v2); - } - } - } - } - else { - /* Hidden checks are already done when creating the loose edge list. */ - Mesh *me_cage = rdata->mapped.me_cage; - for (int i_iter = 0; i_iter < rdata->mapped.loose_edge_len; i_iter++) { - const int i = rdata->mapped.loose_edges[i_iter]; - const MEdge *medge = &me_cage->medge[i]; - GPU_indexbuf_add_line_verts(&elb, medge->v1, medge->v2); - } - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); + + /* Alloc max (edge_len) and upload only needed range. */ + GPUIndexBufBuilder elb; + GPU_indexbuf_init(&elb, GPU_PRIM_LINES, edge_len, vert_len); + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + /* No need to support since edit mesh already draw them. + * But some engines may want them ... */ + BMesh *bm = rdata->edit_bmesh->bm; + BMIter eiter; + BMEdge *eed; + BM_ITER_MESH (eed, &eiter, bm, BM_EDGES_OF_MESH) { + if (bm_edge_is_loose_and_visible(eed)) { + GPU_indexbuf_add_line_verts( + &elb, BM_elem_index_get(eed->v1), BM_elem_index_get(eed->v2)); + } + } + } + else { + for (int i = 0; i < edge_len; i++) { + const MEdge *medge = &rdata->medge[i]; + if ((medge->flag & ME_LOOSEEDGE) && !(use_hide && (medge->flag & ME_HIDE))) { + GPU_indexbuf_add_line_verts(&elb, medge->v1, medge->v2); + } + } + } + } + else { + /* Hidden checks are already done when creating the loose edge list. */ + Mesh *me_cage = rdata->mapped.me_cage; + for (int i_iter = 0; i_iter < rdata->mapped.loose_edge_len; i_iter++) { + const int i = rdata->mapped.loose_edges[i_iter]; + const MEdge *medge = &me_cage->medge[i]; + GPU_indexbuf_add_line_verts(&elb, medge->v1, medge->v2); + } + } + + GPU_indexbuf_build_in_place(&elb, ibo); } -static void mesh_create_loops_tris( - MeshRenderData *rdata, GPUIndexBuf **ibo, int ibo_len, const bool use_hide) +static void mesh_create_loops_tris(MeshRenderData *rdata, + GPUIndexBuf **ibo, + int ibo_len, + const bool use_hide) { - const int loop_len = mesh_render_data_loops_len_get(rdata); - const int tri_len = mesh_render_data_looptri_len_get(rdata); - - GPUIndexBufBuilder *elb = BLI_array_alloca(elb, ibo_len); - - for (int i = 0; i < ibo_len; ++i) { - /* TODO alloc minmum necessary. */ - GPU_indexbuf_init(&elb[i], GPU_PRIM_TRIS, tri_len, loop_len * 3); - } - - if (rdata->mapped.use == false) { - if (rdata->edit_bmesh) { - for (int i = 0; i < tri_len; i++) { - const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; - const BMFace *bm_face = bm_looptri[0]->f; - /* use_hide always for edit-mode */ - if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { - continue; - } - int mat = min_ii(ibo_len - 1, bm_face->mat_nr); - GPU_indexbuf_add_tri_verts( - &elb[mat], - BM_elem_index_get(bm_looptri[0]), - BM_elem_index_get(bm_looptri[1]), - BM_elem_index_get(bm_looptri[2])); - } - } - else { - for (int i = 0; i < tri_len; i++) { - const MLoopTri *mlt = &rdata->mlooptri[i]; - const MPoly *mp = &rdata->mpoly[mlt->poly]; - if (use_hide && (mp->flag & ME_HIDE)) { - continue; - } - int mat = min_ii(ibo_len - 1, mp->mat_nr); - GPU_indexbuf_add_tri_verts(&elb[mat], mlt->tri[0], mlt->tri[1], mlt->tri[2]); - } - } - } - else { - /* Note: mapped doesn't support lnors yet. */ - BMesh *bm = rdata->edit_bmesh->bm; - Mesh *me_cage = rdata->mapped.me_cage; - - const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); - for (int i = 0; i < tri_len; i++) { - const MLoopTri *mlt = &mlooptri[i]; - const int p_orig = rdata->mapped.p_origindex[mlt->poly]; - if (p_orig != ORIGINDEX_NONE) { - /* Assume 'use_hide' */ - BMFace *efa = BM_face_at_index(bm, p_orig); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - int mat = min_ii(ibo_len - 1, efa->mat_nr); - GPU_indexbuf_add_tri_verts(&elb[mat], mlt->tri[0], mlt->tri[1], mlt->tri[2]); - } - } - } - } - - for (int i = 0; i < ibo_len; ++i) { - GPU_indexbuf_build_in_place(&elb[i], ibo[i]); - } + const int loop_len = mesh_render_data_loops_len_get(rdata); + const int tri_len = mesh_render_data_looptri_len_get(rdata); + + GPUIndexBufBuilder *elb = BLI_array_alloca(elb, ibo_len); + + for (int i = 0; i < ibo_len; ++i) { + /* TODO alloc minmum necessary. */ + GPU_indexbuf_init(&elb[i], GPU_PRIM_TRIS, tri_len, loop_len * 3); + } + + if (rdata->mapped.use == false) { + if (rdata->edit_bmesh) { + for (int i = 0; i < tri_len; i++) { + const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; + const BMFace *bm_face = bm_looptri[0]->f; + /* use_hide always for edit-mode */ + if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { + continue; + } + int mat = min_ii(ibo_len - 1, bm_face->mat_nr); + GPU_indexbuf_add_tri_verts(&elb[mat], + BM_elem_index_get(bm_looptri[0]), + BM_elem_index_get(bm_looptri[1]), + BM_elem_index_get(bm_looptri[2])); + } + } + else { + for (int i = 0; i < tri_len; i++) { + const MLoopTri *mlt = &rdata->mlooptri[i]; + const MPoly *mp = &rdata->mpoly[mlt->poly]; + if (use_hide && (mp->flag & ME_HIDE)) { + continue; + } + int mat = min_ii(ibo_len - 1, mp->mat_nr); + GPU_indexbuf_add_tri_verts(&elb[mat], mlt->tri[0], mlt->tri[1], mlt->tri[2]); + } + } + } + else { + /* Note: mapped doesn't support lnors yet. */ + BMesh *bm = rdata->edit_bmesh->bm; + Mesh *me_cage = rdata->mapped.me_cage; + + const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); + for (int i = 0; i < tri_len; i++) { + const MLoopTri *mlt = &mlooptri[i]; + const int p_orig = rdata->mapped.p_origindex[mlt->poly]; + if (p_orig != ORIGINDEX_NONE) { + /* Assume 'use_hide' */ + BMFace *efa = BM_face_at_index(bm, p_orig); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + int mat = min_ii(ibo_len - 1, efa->mat_nr); + GPU_indexbuf_add_tri_verts(&elb[mat], mlt->tri[0], mlt->tri[1], mlt->tri[2]); + } + } + } + } + + for (int i = 0; i < ibo_len; ++i) { + GPU_indexbuf_build_in_place(&elb[i], ibo[i]); + } } /* Warning! this function is not thread safe! * It writes to MEdge->flag with ME_EDGE_TMP_TAG. */ -static void mesh_create_edit_loops_points_lines(MeshRenderData *rdata, GPUIndexBuf *ibo_verts, GPUIndexBuf *ibo_edges) +static void mesh_create_edit_loops_points_lines(MeshRenderData *rdata, + GPUIndexBuf *ibo_verts, + GPUIndexBuf *ibo_edges) { - BMIter iter; - int i; - - const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); - const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); - const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); - const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - const int lvert_len = mesh_render_data_loose_verts_len_get_maybe_mapped(rdata); - const int ledge_len = mesh_render_data_loose_edges_len_get_maybe_mapped(rdata); - const int tot_loop_len = loop_len + ledge_len * 2 + lvert_len; - - GPUIndexBufBuilder elb_vert, elb_edge; - if (DRW_TEST_ASSIGN_IBO(ibo_edges)) { - GPU_indexbuf_init(&elb_edge, GPU_PRIM_LINES, edge_len, tot_loop_len); - } - if (DRW_TEST_ASSIGN_IBO(ibo_verts)) { - GPU_indexbuf_init(&elb_vert, GPU_PRIM_POINTS, tot_loop_len, tot_loop_len); - } - - int loop_idx = 0; - if (rdata->edit_bmesh && (rdata->mapped.use == false)) { - BMesh *bm = rdata->edit_bmesh->bm; - /* Edges not loose. */ - if (ibo_edges) { - BMEdge *eed; - BM_ITER_MESH (eed, &iter, bm, BM_EDGES_OF_MESH) { - if (!BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { - BMLoop *l = bm_edge_find_first_loop_visible_inline(eed); - if (l != NULL) { - int v1 = BM_elem_index_get(eed->l); - int v2 = BM_elem_index_get(eed->l->next); - GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); - } - } - } - } - /* Face Loops */ - if (ibo_verts) { - BMVert *eve; - BM_ITER_MESH (eve, &iter, bm, BM_VERTS_OF_MESH) { - if (!BM_elem_flag_test(eve, BM_ELEM_HIDDEN)) { - BMLoop *l = bm_vert_find_first_loop_visible_inline(eve); - if (l != NULL) { - int v = BM_elem_index_get(l); - GPU_indexbuf_add_generic_vert(&elb_vert, v); - } - } - } - } - loop_idx = loop_len; - /* Loose edges */ - for (i = 0; i < ledge_len; ++i) { - if (ibo_verts) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 0); - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 1); - } - if (ibo_edges) { - GPU_indexbuf_add_line_verts(&elb_edge, loop_idx + 0, loop_idx + 1); - } - loop_idx += 2; - } - /* Loose verts */ - if (ibo_verts) { - for (i = 0; i < lvert_len; ++i) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); - loop_idx += 1; - } - } - } - else if (rdata->mapped.use) { - const MPoly *mpoly = rdata->mapped.me_cage->mpoly; - MVert *mvert = rdata->mapped.me_cage->mvert; - MEdge *medge = rdata->mapped.me_cage->medge; - BMesh *bm = rdata->edit_bmesh->bm; - - const int *v_origindex = rdata->mapped.v_origindex; - const int *e_origindex = rdata->mapped.e_origindex; - const int *p_origindex = rdata->mapped.p_origindex; - - /* Reset flag */ - for (int edge = 0; edge < edge_len; ++edge) { - /* NOTE: not thread safe. */ - medge[edge].flag &= ~ME_EDGE_TMP_TAG; - } - for (int vert = 0; vert < vert_len; ++vert) { - /* NOTE: not thread safe. */ - mvert[vert].flag &= ~ME_VERT_TMP_TAG; - } - - /* Face Loops */ - for (int poly = 0; poly < poly_len; poly++, mpoly++) { - int fidx = p_origindex[poly]; - if (fidx != ORIGINDEX_NONE) { - BMFace *efa = BM_face_at_index(bm, fidx); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - const MLoop *mloop = &rdata->mapped.me_cage->mloop[mpoly->loopstart]; - for (i = 0; i < mpoly->totloop; ++i, ++mloop) { - if (ibo_verts && (v_origindex[mloop->v] != ORIGINDEX_NONE) && - (mvert[mloop->v].flag & ME_VERT_TMP_TAG) == 0) - { - mvert[mloop->v].flag |= ME_VERT_TMP_TAG; - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + i); - } - if (ibo_edges && (e_origindex[mloop->e] != ORIGINDEX_NONE) && - ((medge[mloop->e].flag & ME_EDGE_TMP_TAG) == 0)) - { - medge[mloop->e].flag |= ME_EDGE_TMP_TAG; - int v1 = loop_idx + i; - int v2 = loop_idx + ((i + 1) % mpoly->totloop); - GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); - } - } - } - } - loop_idx += mpoly->totloop; - } - /* Loose edges */ - for (i = 0; i < ledge_len; ++i) { - int eidx = e_origindex[rdata->mapped.loose_edges[i]]; - if (eidx != ORIGINDEX_NONE) { - if (ibo_verts) { - const MEdge *ed = &medge[rdata->mapped.loose_edges[i]]; - if (v_origindex[ed->v1] != ORIGINDEX_NONE) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 0); - } - if (v_origindex[ed->v2] != ORIGINDEX_NONE) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 1); - } - } - if (ibo_edges) { - GPU_indexbuf_add_line_verts(&elb_edge, loop_idx + 0, loop_idx + 1); - } - } - loop_idx += 2; - } - /* Loose verts */ - if (ibo_verts) { - for (i = 0; i < lvert_len; ++i) { - int vidx = v_origindex[rdata->mapped.loose_verts[i]]; - if (vidx != ORIGINDEX_NONE) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); - } - loop_idx += 1; - } - } - } - else { - const MPoly *mpoly = rdata->mpoly; - - /* Face Loops */ - for (int poly = 0; poly < poly_len; poly++, mpoly++) { - if ((mpoly->flag & ME_HIDE) == 0) { - for (i = 0; i < mpoly->totloop; ++i) { - if (ibo_verts) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + i); - } - if (ibo_edges) { - int v1 = loop_idx + i; - int v2 = loop_idx + ((i + 1) % mpoly->totloop); - GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); - } - } - } - loop_idx += mpoly->totloop; - } - /* TODO(fclem): Until we find a way to detect - * loose verts easily outside of edit mode, this - * will remain disabled. */ + BMIter iter; + int i; + + const int vert_len = mesh_render_data_verts_len_get_maybe_mapped(rdata); + const int edge_len = mesh_render_data_edges_len_get_maybe_mapped(rdata); + const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); + const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + const int lvert_len = mesh_render_data_loose_verts_len_get_maybe_mapped(rdata); + const int ledge_len = mesh_render_data_loose_edges_len_get_maybe_mapped(rdata); + const int tot_loop_len = loop_len + ledge_len * 2 + lvert_len; + + GPUIndexBufBuilder elb_vert, elb_edge; + if (DRW_TEST_ASSIGN_IBO(ibo_edges)) { + GPU_indexbuf_init(&elb_edge, GPU_PRIM_LINES, edge_len, tot_loop_len); + } + if (DRW_TEST_ASSIGN_IBO(ibo_verts)) { + GPU_indexbuf_init(&elb_vert, GPU_PRIM_POINTS, tot_loop_len, tot_loop_len); + } + + int loop_idx = 0; + if (rdata->edit_bmesh && (rdata->mapped.use == false)) { + BMesh *bm = rdata->edit_bmesh->bm; + /* Edges not loose. */ + if (ibo_edges) { + BMEdge *eed; + BM_ITER_MESH (eed, &iter, bm, BM_EDGES_OF_MESH) { + if (!BM_elem_flag_test(eed, BM_ELEM_HIDDEN)) { + BMLoop *l = bm_edge_find_first_loop_visible_inline(eed); + if (l != NULL) { + int v1 = BM_elem_index_get(eed->l); + int v2 = BM_elem_index_get(eed->l->next); + GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); + } + } + } + } + /* Face Loops */ + if (ibo_verts) { + BMVert *eve; + BM_ITER_MESH (eve, &iter, bm, BM_VERTS_OF_MESH) { + if (!BM_elem_flag_test(eve, BM_ELEM_HIDDEN)) { + BMLoop *l = bm_vert_find_first_loop_visible_inline(eve); + if (l != NULL) { + int v = BM_elem_index_get(l); + GPU_indexbuf_add_generic_vert(&elb_vert, v); + } + } + } + } + loop_idx = loop_len; + /* Loose edges */ + for (i = 0; i < ledge_len; ++i) { + if (ibo_verts) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 0); + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 1); + } + if (ibo_edges) { + GPU_indexbuf_add_line_verts(&elb_edge, loop_idx + 0, loop_idx + 1); + } + loop_idx += 2; + } + /* Loose verts */ + if (ibo_verts) { + for (i = 0; i < lvert_len; ++i) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); + loop_idx += 1; + } + } + } + else if (rdata->mapped.use) { + const MPoly *mpoly = rdata->mapped.me_cage->mpoly; + MVert *mvert = rdata->mapped.me_cage->mvert; + MEdge *medge = rdata->mapped.me_cage->medge; + BMesh *bm = rdata->edit_bmesh->bm; + + const int *v_origindex = rdata->mapped.v_origindex; + const int *e_origindex = rdata->mapped.e_origindex; + const int *p_origindex = rdata->mapped.p_origindex; + + /* Reset flag */ + for (int edge = 0; edge < edge_len; ++edge) { + /* NOTE: not thread safe. */ + medge[edge].flag &= ~ME_EDGE_TMP_TAG; + } + for (int vert = 0; vert < vert_len; ++vert) { + /* NOTE: not thread safe. */ + mvert[vert].flag &= ~ME_VERT_TMP_TAG; + } + + /* Face Loops */ + for (int poly = 0; poly < poly_len; poly++, mpoly++) { + int fidx = p_origindex[poly]; + if (fidx != ORIGINDEX_NONE) { + BMFace *efa = BM_face_at_index(bm, fidx); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + const MLoop *mloop = &rdata->mapped.me_cage->mloop[mpoly->loopstart]; + for (i = 0; i < mpoly->totloop; ++i, ++mloop) { + if (ibo_verts && (v_origindex[mloop->v] != ORIGINDEX_NONE) && + (mvert[mloop->v].flag & ME_VERT_TMP_TAG) == 0) { + mvert[mloop->v].flag |= ME_VERT_TMP_TAG; + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + i); + } + if (ibo_edges && (e_origindex[mloop->e] != ORIGINDEX_NONE) && + ((medge[mloop->e].flag & ME_EDGE_TMP_TAG) == 0)) { + medge[mloop->e].flag |= ME_EDGE_TMP_TAG; + int v1 = loop_idx + i; + int v2 = loop_idx + ((i + 1) % mpoly->totloop); + GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); + } + } + } + } + loop_idx += mpoly->totloop; + } + /* Loose edges */ + for (i = 0; i < ledge_len; ++i) { + int eidx = e_origindex[rdata->mapped.loose_edges[i]]; + if (eidx != ORIGINDEX_NONE) { + if (ibo_verts) { + const MEdge *ed = &medge[rdata->mapped.loose_edges[i]]; + if (v_origindex[ed->v1] != ORIGINDEX_NONE) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 0); + } + if (v_origindex[ed->v2] != ORIGINDEX_NONE) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + 1); + } + } + if (ibo_edges) { + GPU_indexbuf_add_line_verts(&elb_edge, loop_idx + 0, loop_idx + 1); + } + } + loop_idx += 2; + } + /* Loose verts */ + if (ibo_verts) { + for (i = 0; i < lvert_len; ++i) { + int vidx = v_origindex[rdata->mapped.loose_verts[i]]; + if (vidx != ORIGINDEX_NONE) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); + } + loop_idx += 1; + } + } + } + else { + const MPoly *mpoly = rdata->mpoly; + + /* Face Loops */ + for (int poly = 0; poly < poly_len; poly++, mpoly++) { + if ((mpoly->flag & ME_HIDE) == 0) { + for (i = 0; i < mpoly->totloop; ++i) { + if (ibo_verts) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + i); + } + if (ibo_edges) { + int v1 = loop_idx + i; + int v2 = loop_idx + ((i + 1) % mpoly->totloop); + GPU_indexbuf_add_line_verts(&elb_edge, v1, v2); + } + } + } + loop_idx += mpoly->totloop; + } + /* TODO(fclem): Until we find a way to detect + * loose verts easily outside of edit mode, this + * will remain disabled. */ #if 0 - /* Loose edges */ - for (int e = 0; e < edge_len; e++, medge++) { - if (medge->flag & ME_LOOSEEDGE) { - int eidx = e_origindex[e]; - if (eidx != ORIGINDEX_NONE) { - if ((medge->flag & ME_HIDE) == 0) { - for (int j = 0; j < 2; ++j) { - if (ibo_verts) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + j); - } - if (ibo_edges) { - GPU_indexbuf_add_generic_vert(&elb_edge, loop_idx + j); - } - } - } - } - loop_idx += 2; - } - } - /* Loose verts */ - for (int v = 0; v < vert_len; v++, mvert++) { - int vidx = v_origindex[v]; - if (vidx != ORIGINDEX_NONE) { - if ((mvert->flag & ME_HIDE) == 0) { - if (ibo_verts) { - GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); - } - if (ibo_edges) { - GPU_indexbuf_add_generic_vert(&elb_edge, loop_idx); - } - } - loop_idx += 1; - } - } + /* Loose edges */ + for (int e = 0; e < edge_len; e++, medge++) { + if (medge->flag & ME_LOOSEEDGE) { + int eidx = e_origindex[e]; + if (eidx != ORIGINDEX_NONE) { + if ((medge->flag & ME_HIDE) == 0) { + for (int j = 0; j < 2; ++j) { + if (ibo_verts) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx + j); + } + if (ibo_edges) { + GPU_indexbuf_add_generic_vert(&elb_edge, loop_idx + j); + } + } + } + } + loop_idx += 2; + } + } + /* Loose verts */ + for (int v = 0; v < vert_len; v++, mvert++) { + int vidx = v_origindex[v]; + if (vidx != ORIGINDEX_NONE) { + if ((mvert->flag & ME_HIDE) == 0) { + if (ibo_verts) { + GPU_indexbuf_add_generic_vert(&elb_vert, loop_idx); + } + if (ibo_edges) { + GPU_indexbuf_add_generic_vert(&elb_edge, loop_idx); + } + } + loop_idx += 1; + } + } #endif - } - - if (ibo_verts) { - GPU_indexbuf_build_in_place(&elb_vert, ibo_verts); - } - if (ibo_edges) { - GPU_indexbuf_build_in_place(&elb_edge, ibo_edges); - } + } + + if (ibo_verts) { + GPU_indexbuf_build_in_place(&elb_vert, ibo_verts); + } + if (ibo_edges) { + GPU_indexbuf_build_in_place(&elb_edge, ibo_edges); + } } static void mesh_create_edit_loops_tris(MeshRenderData *rdata, GPUIndexBuf *ibo) { - const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); - const int tri_len = mesh_render_data_looptri_len_get_maybe_mapped(rdata); - - GPUIndexBufBuilder elb; - /* TODO alloc minmum necessary. */ - GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, loop_len * 3); - - if (rdata->edit_bmesh && (rdata->mapped.use == false)) { - for (int i = 0; i < tri_len; i++) { - const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; - const BMFace *bm_face = bm_looptri[0]->f; - /* use_hide always for edit-mode */ - if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { - continue; - } - GPU_indexbuf_add_tri_verts(&elb, BM_elem_index_get(bm_looptri[0]), - BM_elem_index_get(bm_looptri[1]), - BM_elem_index_get(bm_looptri[2])); - } - } - else if (rdata->mapped.use == true) { - BMesh *bm = rdata->edit_bmesh->bm; - Mesh *me_cage = rdata->mapped.me_cage; - - const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); - for (int i = 0; i < tri_len; i++) { - const MLoopTri *mlt = &mlooptri[i]; - const int p_orig = rdata->mapped.p_origindex[mlt->poly]; - if (p_orig != ORIGINDEX_NONE) { - /* Assume 'use_hide' */ - BMFace *efa = BM_face_at_index(bm, p_orig); - if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { - GPU_indexbuf_add_tri_verts(&elb, mlt->tri[0], mlt->tri[1], mlt->tri[2]); - } - } - } - } - else { - const MLoopTri *mlt = rdata->mlooptri; - for (int i = 0; i < tri_len; i++, mlt++) { - const MPoly *mpoly = &rdata->mpoly[mlt->poly]; - /* Assume 'use_hide' */ - if ((mpoly->flag & ME_HIDE) == 0) { - GPU_indexbuf_add_tri_verts(&elb, mlt->tri[0], mlt->tri[1], mlt->tri[2]); - } - } - } - - GPU_indexbuf_build_in_place(&elb, ibo); + const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); + const int tri_len = mesh_render_data_looptri_len_get_maybe_mapped(rdata); + + GPUIndexBufBuilder elb; + /* TODO alloc minmum necessary. */ + GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, tri_len, loop_len * 3); + + if (rdata->edit_bmesh && (rdata->mapped.use == false)) { + for (int i = 0; i < tri_len; i++) { + const BMLoop **bm_looptri = (const BMLoop **)rdata->edit_bmesh->looptris[i]; + const BMFace *bm_face = bm_looptri[0]->f; + /* use_hide always for edit-mode */ + if (BM_elem_flag_test(bm_face, BM_ELEM_HIDDEN)) { + continue; + } + GPU_indexbuf_add_tri_verts(&elb, + BM_elem_index_get(bm_looptri[0]), + BM_elem_index_get(bm_looptri[1]), + BM_elem_index_get(bm_looptri[2])); + } + } + else if (rdata->mapped.use == true) { + BMesh *bm = rdata->edit_bmesh->bm; + Mesh *me_cage = rdata->mapped.me_cage; + + const MLoopTri *mlooptri = BKE_mesh_runtime_looptri_ensure(me_cage); + for (int i = 0; i < tri_len; i++) { + const MLoopTri *mlt = &mlooptri[i]; + const int p_orig = rdata->mapped.p_origindex[mlt->poly]; + if (p_orig != ORIGINDEX_NONE) { + /* Assume 'use_hide' */ + BMFace *efa = BM_face_at_index(bm, p_orig); + if (!BM_elem_flag_test(efa, BM_ELEM_HIDDEN)) { + GPU_indexbuf_add_tri_verts(&elb, mlt->tri[0], mlt->tri[1], mlt->tri[2]); + } + } + } + } + else { + const MLoopTri *mlt = rdata->mlooptri; + for (int i = 0; i < tri_len; i++, mlt++) { + const MPoly *mpoly = &rdata->mpoly[mlt->poly]; + /* Assume 'use_hide' */ + if ((mpoly->flag & ME_HIDE) == 0) { + GPU_indexbuf_add_tri_verts(&elb, mlt->tri[0], mlt->tri[1], mlt->tri[2]); + } + } + } + + GPU_indexbuf_build_in_place(&elb, ibo); } /** \} */ - /* ---------------------------------------------------------------------- */ /** \name Public API * \{ */ static void texpaint_request_active_uv(MeshBatchCache *cache, Mesh *me) { - DRW_MeshCDMask cd_needed; - mesh_cd_layers_type_clear(&cd_needed); - mesh_cd_calc_active_uv_layer(me, &cd_needed); + DRW_MeshCDMask cd_needed; + mesh_cd_layers_type_clear(&cd_needed); + mesh_cd_calc_active_uv_layer(me, &cd_needed); - BLI_assert(cd_needed.uv != 0 && "No uv layer available in texpaint, but batches requested anyway!"); + BLI_assert(cd_needed.uv != 0 && + "No uv layer available in texpaint, but batches requested anyway!"); - mesh_cd_calc_active_mask_uv_layer(me, &cd_needed); - mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); + mesh_cd_calc_active_mask_uv_layer(me, &cd_needed); + mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); } static void texpaint_request_active_vcol(MeshBatchCache *cache, Mesh *me) { - DRW_MeshCDMask cd_needed; - mesh_cd_layers_type_clear(&cd_needed); - mesh_cd_calc_active_vcol_layer(me, &cd_needed); + DRW_MeshCDMask cd_needed; + mesh_cd_layers_type_clear(&cd_needed); + mesh_cd_calc_active_vcol_layer(me, &cd_needed); - BLI_assert(cd_needed.vcol != 0 && "No vcol layer available in vertpaint, but batches requested anyway!"); + BLI_assert(cd_needed.vcol != 0 && + "No vcol layer available in vertpaint, but batches requested anyway!"); - mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); + mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); } GPUBatch *DRW_mesh_batch_cache_get_all_verts(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.all_verts); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.all_verts); } GPUBatch *DRW_mesh_batch_cache_get_all_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.all_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.all_edges); } GPUBatch *DRW_mesh_batch_cache_get_surface(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.surface); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.surface); } GPUBatch *DRW_mesh_batch_cache_get_loose_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.loose_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.loose_edges); } GPUBatch *DRW_mesh_batch_cache_get_surface_weights(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.surface_weights); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.surface_weights); } GPUBatch *DRW_mesh_batch_cache_get_edge_detection(Mesh *me, bool *r_is_manifold) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - /* Even if is_manifold is not correct (not updated), - * the default (not manifold) is just the worst case. */ - if (r_is_manifold) { - *r_is_manifold = cache->is_manifold; - } - return DRW_batch_request(&cache->batch.edge_detection); + MeshBatchCache *cache = mesh_batch_cache_get(me); + /* Even if is_manifold is not correct (not updated), + * the default (not manifold) is just the worst case. */ + if (r_is_manifold) { + *r_is_manifold = cache->is_manifold; + } + return DRW_batch_request(&cache->batch.edge_detection); } GPUBatch *DRW_mesh_batch_cache_get_wireframes_face(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.wire_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.wire_edges); } -GPUBatch **DRW_mesh_batch_cache_get_surface_shaded( - Mesh *me, struct GPUMaterial **gpumat_array, uint gpumat_array_len, - char **auto_layer_names, int **auto_layer_is_srgb, int *auto_layer_count) +GPUBatch **DRW_mesh_batch_cache_get_surface_shaded(Mesh *me, + struct GPUMaterial **gpumat_array, + uint gpumat_array_len, + char **auto_layer_names, + int **auto_layer_is_srgb, + int *auto_layer_count) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - DRW_MeshCDMask cd_needed = mesh_cd_calc_used_gpu_layers(me, gpumat_array, gpumat_array_len); - - BLI_assert(gpumat_array_len == cache->mat_len); - - bool cd_overlap = mesh_cd_layers_type_overlap(cache->cd_used, cd_needed); - if (!cd_overlap) { - mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); - - mesh_cd_extract_auto_layers_names_and_srgb(me, - cache->cd_needed, - &cache->auto_layer_names, - &cache->auto_layer_is_srgb, - &cache->auto_layer_len); - } - if (auto_layer_names) { - *auto_layer_names = cache->auto_layer_names; - *auto_layer_is_srgb = cache->auto_layer_is_srgb; - *auto_layer_count = cache->auto_layer_len; - } - for (int i = 0; i < cache->mat_len; ++i) { - DRW_batch_request(&cache->surf_per_mat[i]); - } - return cache->surf_per_mat; + MeshBatchCache *cache = mesh_batch_cache_get(me); + DRW_MeshCDMask cd_needed = mesh_cd_calc_used_gpu_layers(me, gpumat_array, gpumat_array_len); + + BLI_assert(gpumat_array_len == cache->mat_len); + + bool cd_overlap = mesh_cd_layers_type_overlap(cache->cd_used, cd_needed); + if (!cd_overlap) { + mesh_cd_layers_type_merge(&cache->cd_needed, cd_needed); + + mesh_cd_extract_auto_layers_names_and_srgb(me, + cache->cd_needed, + &cache->auto_layer_names, + &cache->auto_layer_is_srgb, + &cache->auto_layer_len); + } + if (auto_layer_names) { + *auto_layer_names = cache->auto_layer_names; + *auto_layer_is_srgb = cache->auto_layer_is_srgb; + *auto_layer_count = cache->auto_layer_len; + } + for (int i = 0; i < cache->mat_len; ++i) { + DRW_batch_request(&cache->surf_per_mat[i]); + } + return cache->surf_per_mat; } GPUBatch **DRW_mesh_batch_cache_get_surface_texpaint(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - texpaint_request_active_uv(cache, me); - for (int i = 0; i < cache->mat_len; ++i) { - DRW_batch_request(&cache->surf_per_mat[i]); - } - return cache->surf_per_mat; + MeshBatchCache *cache = mesh_batch_cache_get(me); + texpaint_request_active_uv(cache, me); + for (int i = 0; i < cache->mat_len; ++i) { + DRW_batch_request(&cache->surf_per_mat[i]); + } + return cache->surf_per_mat; } GPUBatch *DRW_mesh_batch_cache_get_surface_texpaint_single(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - texpaint_request_active_uv(cache, me); - return DRW_batch_request(&cache->batch.surface); + MeshBatchCache *cache = mesh_batch_cache_get(me); + texpaint_request_active_uv(cache, me); + return DRW_batch_request(&cache->batch.surface); } GPUBatch *DRW_mesh_batch_cache_get_surface_vertpaint(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - texpaint_request_active_vcol(cache, me); - return DRW_batch_request(&cache->batch.surface); + MeshBatchCache *cache = mesh_batch_cache_get(me); + texpaint_request_active_vcol(cache, me); + return DRW_batch_request(&cache->batch.surface); } /** \} */ @@ -4144,32 +4250,32 @@ GPUBatch *DRW_mesh_batch_cache_get_surface_vertpaint(Mesh *me) GPUBatch *DRW_mesh_batch_cache_get_edit_triangles(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_triangles); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_triangles); } GPUBatch *DRW_mesh_batch_cache_get_edit_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_edges); } GPUBatch *DRW_mesh_batch_cache_get_edit_vertices(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_vertices); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_vertices); } GPUBatch *DRW_mesh_batch_cache_get_edit_lnors(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_lnor); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_lnor); } GPUBatch *DRW_mesh_batch_cache_get_edit_facedots(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_facedots); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_facedots); } /** \} */ @@ -4180,26 +4286,26 @@ GPUBatch *DRW_mesh_batch_cache_get_edit_facedots(Mesh *me) GPUBatch *DRW_mesh_batch_cache_get_triangles_with_select_id(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_selection_faces); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_selection_faces); } GPUBatch *DRW_mesh_batch_cache_get_facedots_with_select_id(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_selection_facedots); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_selection_facedots); } GPUBatch *DRW_mesh_batch_cache_get_edges_with_select_id(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_selection_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_selection_edges); } GPUBatch *DRW_mesh_batch_cache_get_verts_with_select_id(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edit_selection_verts); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edit_selection_verts); } /** \} */ @@ -4210,51 +4316,51 @@ GPUBatch *DRW_mesh_batch_cache_get_verts_with_select_id(Mesh *me) GPUBatch *DRW_mesh_batch_cache_get_edituv_faces_strech_area(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_faces_strech_area); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_faces_strech_area); } GPUBatch *DRW_mesh_batch_cache_get_edituv_faces_strech_angle(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_faces_strech_angle); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_faces_strech_angle); } GPUBatch *DRW_mesh_batch_cache_get_edituv_faces(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_faces); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_faces); } GPUBatch *DRW_mesh_batch_cache_get_edituv_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_edges); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_edges); } GPUBatch *DRW_mesh_batch_cache_get_edituv_verts(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_verts); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_verts); } GPUBatch *DRW_mesh_batch_cache_get_edituv_facedots(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.edituv_facedots); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.edituv_facedots); } GPUBatch *DRW_mesh_batch_cache_get_uv_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - texpaint_request_active_uv(cache, me); - return DRW_batch_request(&cache->batch.wire_loops_uvs); + MeshBatchCache *cache = mesh_batch_cache_get(me); + texpaint_request_active_uv(cache, me); + return DRW_batch_request(&cache->batch.wire_loops_uvs); } GPUBatch *DRW_mesh_batch_cache_get_surface_edges(Mesh *me) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - return DRW_batch_request(&cache->batch.wire_loops); + MeshBatchCache *cache = mesh_batch_cache_get(me); + return DRW_batch_request(&cache->batch.wire_loops); } /** @@ -4263,759 +4369,818 @@ GPUBatch *DRW_mesh_batch_cache_get_surface_edges(Mesh *me) void DRW_mesh_cache_sculpt_coords_ensure(Mesh *UNUSED(me)) { #if 0 /* Unused for now */ - if (me->runtime.batch_cache) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - if (cache && cache->pos_with_normals && cache->is_sculpt_points_tag) { - /* XXX Force update of all the batches that contains the pos_with_normals buffer. - * TODO(fclem): Ideally, Gawain should provide a way to update a buffer without destroying it. */ - mesh_batch_cache_clear_selective(me, cache->pos_with_normals); - GPU_VERTBUF_DISCARD_SAFE(cache->pos_with_normals); - } - cache->is_sculpt_points_tag = false; - } + if (me->runtime.batch_cache) { + MeshBatchCache *cache = mesh_batch_cache_get(me); + if (cache && cache->pos_with_normals && cache->is_sculpt_points_tag) { + /* XXX Force update of all the batches that contains the pos_with_normals buffer. + * TODO(fclem): Ideally, Gawain should provide a way to update a buffer without destroying it. */ + mesh_batch_cache_clear_selective(me, cache->pos_with_normals); + GPU_VERTBUF_DISCARD_SAFE(cache->pos_with_normals); + } + cache->is_sculpt_points_tag = false; + } #endif } /* Compute 3D & 2D areas and their sum. */ -BLI_INLINE void edit_uv_preprocess_stretch_area( - BMFace *efa, const int cd_loop_uv_offset, uint fidx, - float *totarea, float *totuvarea, float (*faces_areas)[2]) +BLI_INLINE void edit_uv_preprocess_stretch_area(BMFace *efa, + const int cd_loop_uv_offset, + uint fidx, + float *totarea, + float *totuvarea, + float (*faces_areas)[2]) { - faces_areas[fidx][0] = BM_face_calc_area(efa); - faces_areas[fidx][1] = BM_face_calc_area_uv(efa, cd_loop_uv_offset); + faces_areas[fidx][0] = BM_face_calc_area(efa); + faces_areas[fidx][1] = BM_face_calc_area_uv(efa, cd_loop_uv_offset); - *totarea += faces_areas[fidx][0]; - *totuvarea += faces_areas[fidx][1]; + *totarea += faces_areas[fidx][0]; + *totuvarea += faces_areas[fidx][1]; } BLI_INLINE float edit_uv_get_stretch_area(float area, float uvarea) { - if (area < FLT_EPSILON || uvarea < FLT_EPSILON) { - return 1.0f; - } - else if (area > uvarea) { - return 1.0f - (uvarea / area); - } - else { - return 1.0f - (area / uvarea); - } + if (area < FLT_EPSILON || uvarea < FLT_EPSILON) { + return 1.0f; + } + else if (area > uvarea) { + return 1.0f - (uvarea / area); + } + else { + return 1.0f - (area / uvarea); + } } /* Compute face's normalized contour vectors. */ -BLI_INLINE void edit_uv_preprocess_stretch_angle( - float (*auv)[2], float (*av)[3], const int cd_loop_uv_offset, BMFace *efa) +BLI_INLINE void edit_uv_preprocess_stretch_angle(float (*auv)[2], + float (*av)[3], + const int cd_loop_uv_offset, + BMFace *efa) { - BMLoop *l; - BMIter liter; - int i; - BM_ITER_ELEM_INDEX(l, &liter, efa, BM_LOOPS_OF_FACE, i) { - MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(l, cd_loop_uv_offset); - MLoopUV *luv_prev = BM_ELEM_CD_GET_VOID_P(l->prev, cd_loop_uv_offset); - - sub_v2_v2v2(auv[i], luv_prev->uv, luv->uv); - normalize_v2(auv[i]); - - sub_v3_v3v3(av[i], l->prev->v->co, l->v->co); - normalize_v3(av[i]); - } + BMLoop *l; + BMIter liter; + int i; + BM_ITER_ELEM_INDEX(l, &liter, efa, BM_LOOPS_OF_FACE, i) + { + MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(l, cd_loop_uv_offset); + MLoopUV *luv_prev = BM_ELEM_CD_GET_VOID_P(l->prev, cd_loop_uv_offset); + + sub_v2_v2v2(auv[i], luv_prev->uv, luv->uv); + normalize_v2(auv[i]); + + sub_v3_v3v3(av[i], l->prev->v->co, l->v->co); + normalize_v3(av[i]); + } } #if 0 /* here for reference, this is done in shader now. */ BLI_INLINE float edit_uv_get_loop_stretch_angle( const float auv0[2], const float auv1[2], const float av0[3], const float av1[3]) { - float uvang = angle_normalized_v2v2(auv0, auv1); - float ang = angle_normalized_v3v3(av0, av1); - float stretch = fabsf(uvang - ang) / (float)M_PI; - return 1.0f - pow2f(1.0f - stretch); + float uvang = angle_normalized_v2v2(auv0, auv1); + float ang = angle_normalized_v3v3(av0, av1); + float stretch = fabsf(uvang - ang) / (float)M_PI; + return 1.0f - pow2f(1.0f - stretch); } #endif static struct EditUVFormatIndex { - uint area, angle, uv_adj, flag, fdots_uvs, fdots_flag; + uint area, angle, uv_adj, flag, fdots_uvs, fdots_flag; } uv_attr_id = {0}; -static void uvedit_fill_buffer_data( - MeshRenderData *rdata, - GPUVertBuf *vbo_area, GPUVertBuf *vbo_angle, - GPUVertBuf *vbo_fdots_pos, GPUVertBuf *vbo_fdots_data, - GPUIndexBufBuilder *elb_vert, - GPUIndexBufBuilder *elb_edge, - GPUIndexBufBuilder *elb_face) +static void uvedit_fill_buffer_data(MeshRenderData *rdata, + GPUVertBuf *vbo_area, + GPUVertBuf *vbo_angle, + GPUVertBuf *vbo_fdots_pos, + GPUVertBuf *vbo_fdots_data, + GPUIndexBufBuilder *elb_vert, + GPUIndexBufBuilder *elb_edge, + GPUIndexBufBuilder *elb_face) { - BMesh *bm = rdata->edit_bmesh->bm; - BMIter iter, liter; - BMFace *efa; - uint vidx, fidx, fdot_idx, i; - const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - float (*faces_areas)[2] = NULL; - float totarea = 0.0f, totuvarea = 0.0f; - const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); - - BLI_buffer_declare_static(vec3f, vec3_buf, BLI_BUFFER_NOP, BM_DEFAULT_NGON_STACK_SIZE); - BLI_buffer_declare_static(vec2f, vec2_buf, BLI_BUFFER_NOP, BM_DEFAULT_NGON_STACK_SIZE); - - if (vbo_area) { - faces_areas = MEM_mallocN(sizeof(float) * 2 * bm->totface, "EDITUV faces areas"); - } - - /* Preprocess */ - fidx = 0; - BM_ITER_MESH(efa, &iter, bm, BM_FACES_OF_MESH) { - /* Tag hidden faces */ - BM_elem_flag_set(efa, BM_ELEM_TAG, uvedit_face_visible_nolocal_ex(rdata->toolsettings, efa)); - - if (vbo_area && BM_elem_flag_test(efa, BM_ELEM_TAG)) { - edit_uv_preprocess_stretch_area(efa, cd_loop_uv_offset, fidx++, - &totarea, &totuvarea, faces_areas); - } - } - - vidx = 0; - fidx = 0; - fdot_idx = 0; - if (rdata->mapped.use == false && rdata->edit_bmesh) { - BMLoop *l; - BM_ITER_MESH(efa, &iter, bm, BM_FACES_OF_MESH) { - const bool face_visible = BM_elem_flag_test(efa, BM_ELEM_TAG); - const int efa_len = efa->len; - float fdot[2] = {0.0f, 0.0f}; - float (*av)[3], (*auv)[2]; - ushort area_stretch; - - /* Face preprocess */ - if (vbo_area) { - area_stretch = edit_uv_get_stretch_area(faces_areas[fidx][0] / totarea, - faces_areas[fidx][1] / totuvarea) * 65534.0f; - } - if (vbo_angle) { - av = (float (*)[3])BLI_buffer_reinit_data(&vec3_buf, vec3f, efa_len); - auv = (float (*)[2])BLI_buffer_reinit_data(&vec2_buf, vec2f, efa_len); - edit_uv_preprocess_stretch_angle(auv, av, cd_loop_uv_offset, efa); - } - - /* Skip hidden faces. */ - if (elb_face && face_visible) { - for (i = 0; i < efa->len; ++i) { - GPU_indexbuf_add_generic_vert(elb_face, vidx + i); - GPU_indexbuf_add_generic_vert(elb_vert, vidx + i); - GPU_indexbuf_add_line_verts(elb_edge, vidx + i, vidx + (i + 1) % efa->len); - } - } - - BM_ITER_ELEM_INDEX(l, &liter, efa, BM_LOOPS_OF_FACE, i) { - MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(l, cd_loop_uv_offset); - if (vbo_area) { - GPU_vertbuf_attr_set(vbo_area, uv_attr_id.area, vidx, &area_stretch); - } - if (vbo_angle) { - int i_next = (i + 1) % efa_len; - short suv[4]; - /* Send uvs to the shader and let it compute the aspect corrected angle. */ - normal_float_to_short_v2(&suv[0], auv[i]); - normal_float_to_short_v2(&suv[2], auv[i_next]); - GPU_vertbuf_attr_set(vbo_angle, uv_attr_id.uv_adj, vidx, suv); - /* Compute 3D angle here */ - short angle = 32767.0f * angle_normalized_v3v3(av[i], av[i_next]) / (float)M_PI; - GPU_vertbuf_attr_set(vbo_angle, uv_attr_id.angle, vidx, &angle); - } - if (vbo_fdots_pos) { - add_v2_v2(fdot, luv->uv); - } - vidx++; - } - - if (elb_face && face_visible) { - GPU_indexbuf_add_generic_vert(elb_face, vidx - efa->len); - GPU_indexbuf_add_primitive_restart(elb_face); - } - if (vbo_fdots_pos && face_visible) { - mul_v2_fl(fdot, 1.0f / (float)efa->len); - GPU_vertbuf_attr_set(vbo_fdots_pos, uv_attr_id.fdots_uvs, fdot_idx, fdot); - } - if (vbo_fdots_data && face_visible) { - uchar face_flag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); - GPU_vertbuf_attr_set(vbo_fdots_data, uv_attr_id.fdots_flag, fdot_idx, &face_flag); - } - fdot_idx += face_visible ? 1 : 0; - fidx++; - } - } - else { - const MPoly *mpoly = rdata->mapped.me_cage->mpoly; - // const MEdge *medge = rdata->mapped.me_cage->medge; - // const MVert *mvert = rdata->mapped.me_cage->mvert; - const MLoop *mloop = rdata->mapped.me_cage->mloop; - - const int *v_origindex = rdata->mapped.v_origindex; - const int *e_origindex = rdata->mapped.e_origindex; - const int *p_origindex = rdata->mapped.p_origindex; - - /* Face Loops */ - for (int poly = 0; poly < poly_len; poly++, mpoly++) { - float fdot[2] = {0.0f, 0.0f}; - const MLoop *l = &mloop[mpoly->loopstart]; - int fidx_ori = p_origindex[poly]; - efa = (fidx_ori != ORIGINDEX_NONE) ? BM_face_at_index(bm, fidx_ori) : NULL; - const bool face_visible = efa != NULL && BM_elem_flag_test(efa, BM_ELEM_TAG); - if (efa && vbo_fdots_data) { - uchar face_flag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); - GPU_vertbuf_attr_set(vbo_fdots_data, uv_attr_id.fdots_flag, fdot_idx, &face_flag); - } - /* Skip hidden faces. */ - if (elb_face && face_visible) { - for (i = 0; i < mpoly->totloop; ++i) { - GPU_indexbuf_add_generic_vert(elb_face, vidx + i); - if (e_origindex[l[i].e] != ORIGINDEX_NONE) { - GPU_indexbuf_add_line_verts(elb_edge, vidx + i, vidx + (i + 1) % mpoly->totloop); - } - if (v_origindex[l[i].v] != ORIGINDEX_NONE) { - GPU_indexbuf_add_generic_vert(elb_vert, vidx + i); - } - } - GPU_indexbuf_add_generic_vert(elb_face, vidx); - GPU_indexbuf_add_primitive_restart(elb_face); - } - for (i = 0; i < mpoly->totloop; i++, l++) { - /* TODO support stretch. */ - if (vbo_fdots_pos) { - MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; - add_v2_v2(fdot, luv->uv); - } - vidx++; - } - if (vbo_fdots_pos && face_visible) { - mul_v2_fl(fdot, 1.0f / mpoly->totloop); - GPU_vertbuf_attr_set(vbo_fdots_pos, uv_attr_id.fdots_uvs, fdot_idx, fdot); - } - fidx++; - fdot_idx += face_visible ? 1 : 0; - } - } - - if (faces_areas) { - MEM_freeN(faces_areas); - } - - BLI_buffer_free(&vec3_buf); - BLI_buffer_free(&vec2_buf); - - if (fdot_idx < poly_len) { - if (vbo_fdots_pos) { - GPU_vertbuf_data_resize(vbo_fdots_pos, fdot_idx); - } - if (vbo_fdots_data) { - GPU_vertbuf_data_resize(vbo_fdots_data, fdot_idx); - } - } + BMesh *bm = rdata->edit_bmesh->bm; + BMIter iter, liter; + BMFace *efa; + uint vidx, fidx, fdot_idx, i; + const int poly_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + float(*faces_areas)[2] = NULL; + float totarea = 0.0f, totuvarea = 0.0f; + const int cd_loop_uv_offset = CustomData_get_offset(&bm->ldata, CD_MLOOPUV); + + BLI_buffer_declare_static(vec3f, vec3_buf, BLI_BUFFER_NOP, BM_DEFAULT_NGON_STACK_SIZE); + BLI_buffer_declare_static(vec2f, vec2_buf, BLI_BUFFER_NOP, BM_DEFAULT_NGON_STACK_SIZE); + + if (vbo_area) { + faces_areas = MEM_mallocN(sizeof(float) * 2 * bm->totface, "EDITUV faces areas"); + } + + /* Preprocess */ + fidx = 0; + BM_ITER_MESH (efa, &iter, bm, BM_FACES_OF_MESH) { + /* Tag hidden faces */ + BM_elem_flag_set(efa, BM_ELEM_TAG, uvedit_face_visible_nolocal_ex(rdata->toolsettings, efa)); + + if (vbo_area && BM_elem_flag_test(efa, BM_ELEM_TAG)) { + edit_uv_preprocess_stretch_area( + efa, cd_loop_uv_offset, fidx++, &totarea, &totuvarea, faces_areas); + } + } + + vidx = 0; + fidx = 0; + fdot_idx = 0; + if (rdata->mapped.use == false && rdata->edit_bmesh) { + BMLoop *l; + BM_ITER_MESH (efa, &iter, bm, BM_FACES_OF_MESH) { + const bool face_visible = BM_elem_flag_test(efa, BM_ELEM_TAG); + const int efa_len = efa->len; + float fdot[2] = {0.0f, 0.0f}; + float(*av)[3], (*auv)[2]; + ushort area_stretch; + + /* Face preprocess */ + if (vbo_area) { + area_stretch = edit_uv_get_stretch_area(faces_areas[fidx][0] / totarea, + faces_areas[fidx][1] / totuvarea) * + 65534.0f; + } + if (vbo_angle) { + av = (float(*)[3])BLI_buffer_reinit_data(&vec3_buf, vec3f, efa_len); + auv = (float(*)[2])BLI_buffer_reinit_data(&vec2_buf, vec2f, efa_len); + edit_uv_preprocess_stretch_angle(auv, av, cd_loop_uv_offset, efa); + } + + /* Skip hidden faces. */ + if (elb_face && face_visible) { + for (i = 0; i < efa->len; ++i) { + GPU_indexbuf_add_generic_vert(elb_face, vidx + i); + GPU_indexbuf_add_generic_vert(elb_vert, vidx + i); + GPU_indexbuf_add_line_verts(elb_edge, vidx + i, vidx + (i + 1) % efa->len); + } + } + + BM_ITER_ELEM_INDEX(l, &liter, efa, BM_LOOPS_OF_FACE, i) + { + MLoopUV *luv = BM_ELEM_CD_GET_VOID_P(l, cd_loop_uv_offset); + if (vbo_area) { + GPU_vertbuf_attr_set(vbo_area, uv_attr_id.area, vidx, &area_stretch); + } + if (vbo_angle) { + int i_next = (i + 1) % efa_len; + short suv[4]; + /* Send uvs to the shader and let it compute the aspect corrected angle. */ + normal_float_to_short_v2(&suv[0], auv[i]); + normal_float_to_short_v2(&suv[2], auv[i_next]); + GPU_vertbuf_attr_set(vbo_angle, uv_attr_id.uv_adj, vidx, suv); + /* Compute 3D angle here */ + short angle = 32767.0f * angle_normalized_v3v3(av[i], av[i_next]) / (float)M_PI; + GPU_vertbuf_attr_set(vbo_angle, uv_attr_id.angle, vidx, &angle); + } + if (vbo_fdots_pos) { + add_v2_v2(fdot, luv->uv); + } + vidx++; + } + + if (elb_face && face_visible) { + GPU_indexbuf_add_generic_vert(elb_face, vidx - efa->len); + GPU_indexbuf_add_primitive_restart(elb_face); + } + if (vbo_fdots_pos && face_visible) { + mul_v2_fl(fdot, 1.0f / (float)efa->len); + GPU_vertbuf_attr_set(vbo_fdots_pos, uv_attr_id.fdots_uvs, fdot_idx, fdot); + } + if (vbo_fdots_data && face_visible) { + uchar face_flag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); + GPU_vertbuf_attr_set(vbo_fdots_data, uv_attr_id.fdots_flag, fdot_idx, &face_flag); + } + fdot_idx += face_visible ? 1 : 0; + fidx++; + } + } + else { + const MPoly *mpoly = rdata->mapped.me_cage->mpoly; + // const MEdge *medge = rdata->mapped.me_cage->medge; + // const MVert *mvert = rdata->mapped.me_cage->mvert; + const MLoop *mloop = rdata->mapped.me_cage->mloop; + + const int *v_origindex = rdata->mapped.v_origindex; + const int *e_origindex = rdata->mapped.e_origindex; + const int *p_origindex = rdata->mapped.p_origindex; + + /* Face Loops */ + for (int poly = 0; poly < poly_len; poly++, mpoly++) { + float fdot[2] = {0.0f, 0.0f}; + const MLoop *l = &mloop[mpoly->loopstart]; + int fidx_ori = p_origindex[poly]; + efa = (fidx_ori != ORIGINDEX_NONE) ? BM_face_at_index(bm, fidx_ori) : NULL; + const bool face_visible = efa != NULL && BM_elem_flag_test(efa, BM_ELEM_TAG); + if (efa && vbo_fdots_data) { + uchar face_flag = mesh_render_data_face_flag(rdata, efa, cd_loop_uv_offset); + GPU_vertbuf_attr_set(vbo_fdots_data, uv_attr_id.fdots_flag, fdot_idx, &face_flag); + } + /* Skip hidden faces. */ + if (elb_face && face_visible) { + for (i = 0; i < mpoly->totloop; ++i) { + GPU_indexbuf_add_generic_vert(elb_face, vidx + i); + if (e_origindex[l[i].e] != ORIGINDEX_NONE) { + GPU_indexbuf_add_line_verts(elb_edge, vidx + i, vidx + (i + 1) % mpoly->totloop); + } + if (v_origindex[l[i].v] != ORIGINDEX_NONE) { + GPU_indexbuf_add_generic_vert(elb_vert, vidx + i); + } + } + GPU_indexbuf_add_generic_vert(elb_face, vidx); + GPU_indexbuf_add_primitive_restart(elb_face); + } + for (i = 0; i < mpoly->totloop; i++, l++) { + /* TODO support stretch. */ + if (vbo_fdots_pos) { + MLoopUV *luv = &rdata->mloopuv[mpoly->loopstart + i]; + add_v2_v2(fdot, luv->uv); + } + vidx++; + } + if (vbo_fdots_pos && face_visible) { + mul_v2_fl(fdot, 1.0f / mpoly->totloop); + GPU_vertbuf_attr_set(vbo_fdots_pos, uv_attr_id.fdots_uvs, fdot_idx, fdot); + } + fidx++; + fdot_idx += face_visible ? 1 : 0; + } + } + + if (faces_areas) { + MEM_freeN(faces_areas); + } + + BLI_buffer_free(&vec3_buf); + BLI_buffer_free(&vec2_buf); + + if (fdot_idx < poly_len) { + if (vbo_fdots_pos) { + GPU_vertbuf_data_resize(vbo_fdots_pos, fdot_idx); + } + if (vbo_fdots_data) { + GPU_vertbuf_data_resize(vbo_fdots_data, fdot_idx); + } + } } -static void mesh_create_uvedit_buffers( - MeshRenderData *rdata, - GPUVertBuf *vbo_area, GPUVertBuf *vbo_angle, - GPUVertBuf *vbo_fdots_pos, GPUVertBuf *vbo_fdots_data, - GPUIndexBuf *ibo_vert, GPUIndexBuf *ibo_edge, GPUIndexBuf *ibo_face) +static void mesh_create_uvedit_buffers(MeshRenderData *rdata, + GPUVertBuf *vbo_area, + GPUVertBuf *vbo_angle, + GPUVertBuf *vbo_fdots_pos, + GPUVertBuf *vbo_fdots_data, + GPUIndexBuf *ibo_vert, + GPUIndexBuf *ibo_edge, + GPUIndexBuf *ibo_face) { - static GPUVertFormat format_area = { 0 }; - static GPUVertFormat format_angle = { 0 }; - static GPUVertFormat format_fdots_pos = { 0 }; - static GPUVertFormat format_fdots_flag = { 0 }; - - if (format_area.attr_len == 0) { - uv_attr_id.area = GPU_vertformat_attr_add(&format_area, "stretch", GPU_COMP_U16, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - uv_attr_id.angle = GPU_vertformat_attr_add(&format_angle, "angle", GPU_COMP_I16, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - uv_attr_id.uv_adj = GPU_vertformat_attr_add(&format_angle, "uv_adj", GPU_COMP_I16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - - uv_attr_id.fdots_flag = GPU_vertformat_attr_add(&format_fdots_flag, "flag", GPU_COMP_U8, 1, GPU_FETCH_INT); - uv_attr_id.fdots_uvs = GPU_vertformat_attr_add(&format_fdots_pos, "u", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - GPU_vertformat_alias_add(&format_fdots_pos, "pos"); - } - - const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); - const int face_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); - const int idx_len = loop_len + face_len * 2; - - if (DRW_TEST_ASSIGN_VBO(vbo_area)) { - GPU_vertbuf_init_with_format(vbo_area, &format_area); - GPU_vertbuf_data_alloc(vbo_area, loop_len); - } - if (DRW_TEST_ASSIGN_VBO(vbo_angle)) { - GPU_vertbuf_init_with_format(vbo_angle, &format_angle); - GPU_vertbuf_data_alloc(vbo_angle, loop_len); - } - if (DRW_TEST_ASSIGN_VBO(vbo_fdots_pos)) { - GPU_vertbuf_init_with_format(vbo_fdots_pos, &format_fdots_pos); - GPU_vertbuf_data_alloc(vbo_fdots_pos, face_len); - } - if (DRW_TEST_ASSIGN_VBO(vbo_fdots_data)) { - GPU_vertbuf_init_with_format(vbo_fdots_data, &format_fdots_flag); - GPU_vertbuf_data_alloc(vbo_fdots_data, face_len); - } - - GPUIndexBufBuilder elb_vert, elb_edge, elb_face; - if (DRW_TEST_ASSIGN_IBO(ibo_vert)) { - GPU_indexbuf_init_ex(&elb_vert, GPU_PRIM_POINTS, loop_len, loop_len, false); - } - if (DRW_TEST_ASSIGN_IBO(ibo_edge)) { - GPU_indexbuf_init_ex(&elb_edge, GPU_PRIM_LINES, loop_len * 2, loop_len, false); - } - if (DRW_TEST_ASSIGN_IBO(ibo_face)) { - GPU_indexbuf_init_ex(&elb_face, GPU_PRIM_TRI_FAN, idx_len, loop_len, true); - } - - uvedit_fill_buffer_data(rdata, - vbo_area, vbo_angle, vbo_fdots_pos, vbo_fdots_data, - ibo_vert ? &elb_vert : NULL, - ibo_edge ? &elb_edge : NULL, - ibo_face ? &elb_face : NULL); - - if (ibo_vert) { - GPU_indexbuf_build_in_place(&elb_vert, ibo_vert); - } - - if (ibo_edge) { - GPU_indexbuf_build_in_place(&elb_edge, ibo_edge); - } - - if (ibo_face) { - GPU_indexbuf_build_in_place(&elb_face, ibo_face); - } + static GPUVertFormat format_area = {0}; + static GPUVertFormat format_angle = {0}; + static GPUVertFormat format_fdots_pos = {0}; + static GPUVertFormat format_fdots_flag = {0}; + + if (format_area.attr_len == 0) { + uv_attr_id.area = GPU_vertformat_attr_add( + &format_area, "stretch", GPU_COMP_U16, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + uv_attr_id.angle = GPU_vertformat_attr_add( + &format_angle, "angle", GPU_COMP_I16, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + uv_attr_id.uv_adj = GPU_vertformat_attr_add( + &format_angle, "uv_adj", GPU_COMP_I16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + + uv_attr_id.fdots_flag = GPU_vertformat_attr_add( + &format_fdots_flag, "flag", GPU_COMP_U8, 1, GPU_FETCH_INT); + uv_attr_id.fdots_uvs = GPU_vertformat_attr_add( + &format_fdots_pos, "u", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + GPU_vertformat_alias_add(&format_fdots_pos, "pos"); + } + + const int loop_len = mesh_render_data_loops_len_get_maybe_mapped(rdata); + const int face_len = mesh_render_data_polys_len_get_maybe_mapped(rdata); + const int idx_len = loop_len + face_len * 2; + + if (DRW_TEST_ASSIGN_VBO(vbo_area)) { + GPU_vertbuf_init_with_format(vbo_area, &format_area); + GPU_vertbuf_data_alloc(vbo_area, loop_len); + } + if (DRW_TEST_ASSIGN_VBO(vbo_angle)) { + GPU_vertbuf_init_with_format(vbo_angle, &format_angle); + GPU_vertbuf_data_alloc(vbo_angle, loop_len); + } + if (DRW_TEST_ASSIGN_VBO(vbo_fdots_pos)) { + GPU_vertbuf_init_with_format(vbo_fdots_pos, &format_fdots_pos); + GPU_vertbuf_data_alloc(vbo_fdots_pos, face_len); + } + if (DRW_TEST_ASSIGN_VBO(vbo_fdots_data)) { + GPU_vertbuf_init_with_format(vbo_fdots_data, &format_fdots_flag); + GPU_vertbuf_data_alloc(vbo_fdots_data, face_len); + } + + GPUIndexBufBuilder elb_vert, elb_edge, elb_face; + if (DRW_TEST_ASSIGN_IBO(ibo_vert)) { + GPU_indexbuf_init_ex(&elb_vert, GPU_PRIM_POINTS, loop_len, loop_len, false); + } + if (DRW_TEST_ASSIGN_IBO(ibo_edge)) { + GPU_indexbuf_init_ex(&elb_edge, GPU_PRIM_LINES, loop_len * 2, loop_len, false); + } + if (DRW_TEST_ASSIGN_IBO(ibo_face)) { + GPU_indexbuf_init_ex(&elb_face, GPU_PRIM_TRI_FAN, idx_len, loop_len, true); + } + + uvedit_fill_buffer_data(rdata, + vbo_area, + vbo_angle, + vbo_fdots_pos, + vbo_fdots_data, + ibo_vert ? &elb_vert : NULL, + ibo_edge ? &elb_edge : NULL, + ibo_face ? &elb_face : NULL); + + if (ibo_vert) { + GPU_indexbuf_build_in_place(&elb_vert, ibo_vert); + } + + if (ibo_edge) { + GPU_indexbuf_build_in_place(&elb_edge, ibo_edge); + } + + if (ibo_face) { + GPU_indexbuf_build_in_place(&elb_face, ibo_face); + } } /** \} */ - /* ---------------------------------------------------------------------- */ /** \name Grouped batch generation * \{ */ /* Can be called for any surface type. Mesh *me is the final mesh. */ void DRW_mesh_batch_cache_create_requested( - Object *ob, Mesh *me, - const ToolSettings *ts, const bool is_paint_mode, const bool use_hide) + Object *ob, Mesh *me, const ToolSettings *ts, const bool is_paint_mode, const bool use_hide) { - MeshBatchCache *cache = mesh_batch_cache_get(me); - - /* Check vertex weights. */ - if ((cache->batch.surface_weights != 0) && (ts != NULL)) { - struct DRW_MeshWeightState wstate; - BLI_assert(ob->type == OB_MESH); - drw_mesh_weight_state_extract(ob, me, ts, is_paint_mode, &wstate); - mesh_batch_cache_check_vertex_group(cache, &wstate); - drw_mesh_weight_state_copy(&cache->weight_state, &wstate); - drw_mesh_weight_state_clear(&wstate); - } - - /* Verify that all surface batches have needed attribute layers. */ - /* TODO(fclem): We could be a bit smarter here and only do it per material. */ - bool cd_overlap = mesh_cd_layers_type_overlap(cache->cd_used, cache->cd_needed); - if (cd_overlap == false) { - if ((cache->cd_used.uv & cache->cd_needed.uv) != cache->cd_needed.uv || - (cache->cd_used.tan & cache->cd_needed.tan) != cache->cd_needed.tan || - cache->cd_used.tan_orco != cache->cd_needed.tan_orco) - { - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_uv_tan); - } - if (cache->cd_used.orco != cache->cd_needed.orco) { - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_orco); - } - if ((cache->cd_used.vcol & cache->cd_needed.vcol) != cache->cd_needed.vcol) { - GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_vcol); - } - /* We can't discard batches at this point as they have been - * referenced for drawing. Just clear them in place. */ - for (int i = 0; i < cache->mat_len; ++i) { - GPU_BATCH_CLEAR_SAFE(cache->surf_per_mat[i]); - } - GPU_BATCH_CLEAR_SAFE(cache->batch.surface); - - mesh_cd_layers_type_merge(&cache->cd_used, cache->cd_needed); - } - mesh_cd_layers_type_clear(&cache->cd_needed); - - /* Discard UV batches if sync_selection changes */ - if (ts != NULL) { - const bool is_uvsyncsel = (ts->uv_flag & UV_SYNC_SELECTION); - if (cache->is_uvsyncsel != is_uvsyncsel) { - cache->is_uvsyncsel = is_uvsyncsel; - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_angle); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_area); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv); - GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_tri_fans); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_line_strips); - GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_points); - /* We only clear the batches as they may already have been referenced. */ - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces_strech_area); - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces_strech_angle); - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces); - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_edges); - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_verts); - GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_facedots); - } - } - - /* Init batches and request VBOs & IBOs */ - if (DRW_batch_requested(cache->batch.surface, GPU_PRIM_TRIS)) { - DRW_ibo_request(cache->batch.surface, &cache->ibo.loops_tris); - DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_pos_nor); - /* For paint overlay. Active layer should have been queried. */ - if (cache->cd_used.uv != 0) { - DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_uv_tan); - } - if (cache->cd_used.vcol != 0) { - DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_vcol); - } - } - if (DRW_batch_requested(cache->batch.all_verts, GPU_PRIM_POINTS)) { - DRW_vbo_request(cache->batch.all_verts, &cache->ordered.pos_nor); - } - if (DRW_batch_requested(cache->batch.all_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.all_edges, &cache->ibo.edges_lines); - DRW_vbo_request(cache->batch.all_edges, &cache->ordered.pos_nor); - } - if (DRW_batch_requested(cache->batch.loose_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.loose_edges, &cache->ibo.loose_edges_lines); - DRW_vbo_request(cache->batch.loose_edges, &cache->ordered.pos_nor); - } - if (DRW_batch_requested(cache->batch.edge_detection, GPU_PRIM_LINES_ADJ)) { - DRW_ibo_request(cache->batch.edge_detection, &cache->ibo.edges_adj_lines); - DRW_vbo_request(cache->batch.edge_detection, &cache->ordered.pos_nor); - } - if (DRW_batch_requested(cache->batch.surface_weights, GPU_PRIM_TRIS)) { - DRW_ibo_request(cache->batch.surface_weights, &cache->ibo.surf_tris); - DRW_vbo_request(cache->batch.surface_weights, &cache->ordered.pos_nor); - DRW_vbo_request(cache->batch.surface_weights, &cache->ordered.weights); - } - if (DRW_batch_requested(cache->batch.wire_loops, GPU_PRIM_LINE_STRIP)) { - DRW_ibo_request(cache->batch.wire_loops, &cache->ibo.loops_line_strips); - DRW_vbo_request(cache->batch.wire_loops, &cache->ordered.loop_pos_nor); - } - if (DRW_batch_requested(cache->batch.wire_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.wire_edges, &cache->ibo.loops_lines); - DRW_vbo_request(cache->batch.wire_edges, &cache->ordered.loop_pos_nor); - DRW_vbo_request(cache->batch.wire_edges, &cache->ordered.loop_edge_fac); - } - if (DRW_batch_requested(cache->batch.wire_loops_uvs, GPU_PRIM_LINE_STRIP)) { - DRW_ibo_request(cache->batch.wire_loops_uvs, &cache->ibo.loops_line_strips); - /* For paint overlay. Active layer should have been queried. */ - if (cache->cd_used.uv != 0) { - DRW_vbo_request(cache->batch.wire_loops_uvs, &cache->ordered.loop_uv_tan); - } - } - - /* Edit Mesh */ - if (DRW_batch_requested(cache->batch.edit_triangles, GPU_PRIM_TRIS)) { - DRW_ibo_request(cache->batch.edit_triangles, &cache->ibo.edit_loops_tris); - DRW_vbo_request(cache->batch.edit_triangles, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_triangles, &cache->edit.loop_data); - } - if (DRW_batch_requested(cache->batch.edit_vertices, GPU_PRIM_POINTS)) { - DRW_ibo_request(cache->batch.edit_vertices, &cache->ibo.edit_loops_points); - DRW_vbo_request(cache->batch.edit_vertices, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_vertices, &cache->edit.loop_data); - } - if (DRW_batch_requested(cache->batch.edit_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.edit_edges, &cache->ibo.edit_loops_lines); - DRW_vbo_request(cache->batch.edit_edges, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_edges, &cache->edit.loop_data); - } - if (DRW_batch_requested(cache->batch.edit_lnor, GPU_PRIM_POINTS)) { - DRW_ibo_request(cache->batch.edit_lnor, &cache->ibo.edit_loops_tris); - DRW_vbo_request(cache->batch.edit_lnor, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_lnor, &cache->edit.loop_lnor); - } - if (DRW_batch_requested(cache->batch.edit_facedots, GPU_PRIM_POINTS)) { - DRW_vbo_request(cache->batch.edit_facedots, &cache->edit.facedots_pos_nor_data); - } - - /* Edit UV */ - if (DRW_batch_requested(cache->batch.edituv_faces, GPU_PRIM_TRI_FAN)) { - DRW_ibo_request(cache->batch.edituv_faces, &cache->ibo.edituv_loops_tri_fans); - DRW_vbo_request(cache->batch.edituv_faces, &cache->edit.loop_uv); - DRW_vbo_request(cache->batch.edituv_faces, &cache->edit.loop_uv_data); - } - if (DRW_batch_requested(cache->batch.edituv_faces_strech_area, GPU_PRIM_TRI_FAN)) { - DRW_ibo_request(cache->batch.edituv_faces_strech_area, &cache->ibo.edituv_loops_tri_fans); - DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_uv); - DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_uv_data); - DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_stretch_area); - } - if (DRW_batch_requested(cache->batch.edituv_faces_strech_angle, GPU_PRIM_TRI_FAN)) { - DRW_ibo_request(cache->batch.edituv_faces_strech_angle, &cache->ibo.edituv_loops_tri_fans); - DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_uv); - DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_uv_data); - DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_stretch_angle); - } - if (DRW_batch_requested(cache->batch.edituv_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.edituv_edges, &cache->ibo.edituv_loops_line_strips); - DRW_vbo_request(cache->batch.edituv_edges, &cache->edit.loop_uv); - DRW_vbo_request(cache->batch.edituv_edges, &cache->edit.loop_uv_data); - } - if (DRW_batch_requested(cache->batch.edituv_verts, GPU_PRIM_POINTS)) { - DRW_ibo_request(cache->batch.edituv_verts, &cache->ibo.edituv_loops_points); - DRW_vbo_request(cache->batch.edituv_verts, &cache->edit.loop_uv); - DRW_vbo_request(cache->batch.edituv_verts, &cache->edit.loop_uv_data); - } - if (DRW_batch_requested(cache->batch.edituv_facedots, GPU_PRIM_POINTS)) { - DRW_vbo_request(cache->batch.edituv_facedots, &cache->edit.facedots_uv); - DRW_vbo_request(cache->batch.edituv_facedots, &cache->edit.facedots_uv_data); - } - - /* Selection */ - /* TODO reuse ordered.loop_pos_nor if possible. */ - if (DRW_batch_requested(cache->batch.edit_selection_verts, GPU_PRIM_POINTS)) { - DRW_ibo_request(cache->batch.edit_selection_verts, &cache->ibo.edit_loops_points); - DRW_vbo_request(cache->batch.edit_selection_verts, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_selection_verts, &cache->edit.loop_vert_idx); - } - if (DRW_batch_requested(cache->batch.edit_selection_edges, GPU_PRIM_LINES)) { - DRW_ibo_request(cache->batch.edit_selection_edges, &cache->ibo.edit_loops_lines); - DRW_vbo_request(cache->batch.edit_selection_edges, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_selection_edges, &cache->edit.loop_edge_idx); - } - if (DRW_batch_requested(cache->batch.edit_selection_faces, GPU_PRIM_TRIS)) { - DRW_ibo_request(cache->batch.edit_selection_faces, &cache->ibo.edit_loops_tris); - DRW_vbo_request(cache->batch.edit_selection_faces, &cache->edit.loop_pos_nor); - DRW_vbo_request(cache->batch.edit_selection_faces, &cache->edit.loop_face_idx); - } - if (DRW_batch_requested(cache->batch.edit_selection_facedots, GPU_PRIM_POINTS)) { - DRW_vbo_request(cache->batch.edit_selection_facedots, &cache->edit.facedots_pos_nor_data); - DRW_vbo_request(cache->batch.edit_selection_facedots, &cache->edit.facedots_idx); - } - - /* Per Material */ - for (int i = 0; i < cache->mat_len; ++i) { - if (DRW_batch_requested(cache->surf_per_mat[i], GPU_PRIM_TRIS)) { - if (cache->mat_len > 1) { - DRW_ibo_request(cache->surf_per_mat[i], &cache->surf_per_mat_tris[i]); - } - else { - DRW_ibo_request(cache->surf_per_mat[i], &cache->ibo.loops_tris); - } - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_pos_nor); - if ((cache->cd_used.uv != 0) || - (cache->cd_used.tan != 0) || - (cache->cd_used.tan_orco != 0)) - { - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_uv_tan); - } - if (cache->cd_used.vcol != 0) { - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_vcol); - } - if (cache->cd_used.orco != 0) { - /* OPTI : Only do that if there is modifiers that modify orcos. */ - CustomData *cd_vdata = (me->edit_mesh) ? &me->edit_mesh->bm->vdata : &me->vdata; - if (CustomData_get_layer(cd_vdata, CD_ORCO) != NULL && - ob->modifiers.first != NULL) - { - DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_orco); - } - else if (cache->cd_used.tan_orco == 0) { - /* Skip orco calculation if not needed by tangent generation. */ - cache->cd_used.orco = 0; - } - } - } - } - - /* Generate MeshRenderData flags */ - int mr_flag = 0, mr_edit_flag = 0; - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.pos_nor, MR_DATATYPE_VERT); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.weights, MR_DATATYPE_VERT | MR_DATATYPE_DVERT); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_pos_nor, MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_uv_tan, MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_SHADING | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_orco, MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_SHADING); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_vcol, MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_SHADING); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.loop_edge_fac, MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_EDGE | MR_DATATYPE_LOOP); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.surf_tris, MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.loops_tris, MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.loops_lines, MR_DATATYPE_LOOP | MR_DATATYPE_EDGE | MR_DATATYPE_POLY); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.loops_line_strips, MR_DATATYPE_LOOP | MR_DATATYPE_POLY); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edges_lines, MR_DATATYPE_VERT | MR_DATATYPE_EDGE); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.edges_adj_lines, MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->ibo.loose_edges_lines, MR_DATATYPE_VERT | MR_DATATYPE_EDGE); - for (int i = 0; i < cache->mat_len; ++i) { - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, cache->surf_per_mat_tris[i], MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); - } - - int combined_edit_flag = MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | - MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_OVERLAY; - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_pos_nor, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_lnor, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_data, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_uv_data, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_uv, combined_edit_flag | MR_DATATYPE_LOOPUV); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_vert_idx, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_edge_idx, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_face_idx, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_idx, MR_DATATYPE_POLY); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_pos_nor_data, MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_OVERLAY); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_stretch_angle, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_stretch_area, combined_edit_flag); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_uv, combined_edit_flag | MR_DATATYPE_LOOPUV); - DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_uv_data, combined_edit_flag); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edituv_loops_points, combined_edit_flag); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edituv_loops_line_strips, combined_edit_flag); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edituv_loops_tri_fans, combined_edit_flag); - /* TODO: Some of the flags here may not be needed. */ - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edit_loops_points, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edit_loops_lines, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_LOOPTRI); - DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edit_loops_tris, MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | MR_DATATYPE_LOOPTRI); - - Mesh *me_original = me; - MBC_GET_FINAL_MESH(me); - - if (me_original == me) { - mr_flag |= mr_edit_flag; - } - - MeshRenderData *rdata = NULL; - - if (mr_flag != 0) { - rdata = mesh_render_data_create_ex(me, mr_flag, &cache->cd_used, ts); - } - - /* Generate VBOs */ - if (DRW_vbo_requested(cache->ordered.pos_nor)) { - mesh_create_pos_and_nor(rdata, cache->ordered.pos_nor); - } - if (DRW_vbo_requested(cache->ordered.weights)) { - mesh_create_weights(rdata, cache->ordered.weights, &cache->weight_state); - } - if (DRW_vbo_requested(cache->ordered.loop_pos_nor)) { - mesh_create_loop_pos_and_nor(rdata, cache->ordered.loop_pos_nor); - } - if (DRW_vbo_requested(cache->ordered.loop_edge_fac)) { - mesh_create_loop_edge_fac(rdata, cache->ordered.loop_edge_fac); - } - if (DRW_vbo_requested(cache->ordered.loop_uv_tan)) { - mesh_create_loop_uv_and_tan(rdata, cache->ordered.loop_uv_tan); - } - if (DRW_vbo_requested(cache->ordered.loop_orco)) { - mesh_create_loop_orco(rdata, cache->ordered.loop_orco); - } - if (DRW_vbo_requested(cache->ordered.loop_vcol)) { - mesh_create_loop_vcol(rdata, cache->ordered.loop_vcol); - } - if (DRW_ibo_requested(cache->ibo.edges_lines)) { - mesh_create_edges_lines(rdata, cache->ibo.edges_lines, use_hide); - } - if (DRW_ibo_requested(cache->ibo.edges_adj_lines)) { - mesh_create_edges_adjacency_lines(rdata, cache->ibo.edges_adj_lines, &cache->is_manifold, use_hide); - } - if (DRW_ibo_requested(cache->ibo.loose_edges_lines)) { - mesh_create_loose_edges_lines(rdata, cache->ibo.loose_edges_lines, use_hide); - } - if (DRW_ibo_requested(cache->ibo.surf_tris)) { - mesh_create_surf_tris(rdata, cache->ibo.surf_tris, use_hide); - } - if (DRW_ibo_requested(cache->ibo.loops_lines)) { - mesh_create_loops_lines(rdata, cache->ibo.loops_lines, use_hide); - } - if (DRW_ibo_requested(cache->ibo.loops_line_strips)) { - mesh_create_loops_line_strips(rdata, cache->ibo.loops_line_strips, use_hide); - } - if (DRW_ibo_requested(cache->ibo.loops_tris)) { - mesh_create_loops_tris(rdata, &cache->ibo.loops_tris, 1, use_hide); - } - if (DRW_ibo_requested(cache->surf_per_mat_tris[0])) { - mesh_create_loops_tris(rdata, cache->surf_per_mat_tris, cache->mat_len, use_hide); - } - - /* Use original Mesh* to have the correct edit cage. */ - if (me_original != me && mr_edit_flag != 0) { - if (rdata) { - mesh_render_data_free(rdata); - } - rdata = mesh_render_data_create_ex(me_original, mr_edit_flag, NULL, ts); - } - - if (rdata && rdata->mapped.supported) { - rdata->mapped.use = true; - } - - if (DRW_vbo_requested(cache->edit.loop_pos_nor) || - DRW_vbo_requested(cache->edit.loop_lnor) || - DRW_vbo_requested(cache->edit.loop_data) || - DRW_vbo_requested(cache->edit.loop_vert_idx) || - DRW_vbo_requested(cache->edit.loop_edge_idx) || - DRW_vbo_requested(cache->edit.loop_face_idx)) - { - mesh_create_edit_vertex_loops( - rdata, - cache->edit.loop_pos_nor, - cache->edit.loop_lnor, - NULL, - cache->edit.loop_data, - cache->edit.loop_vert_idx, - cache->edit.loop_edge_idx, - cache->edit.loop_face_idx); - } - if (DRW_vbo_requested(cache->edit.facedots_pos_nor_data)) { - mesh_create_edit_facedots(rdata, cache->edit.facedots_pos_nor_data); - } - if (DRW_vbo_requested(cache->edit.facedots_idx)) { - mesh_create_edit_facedots_select_id(rdata, cache->edit.facedots_idx); - } - if (DRW_ibo_requested(cache->ibo.edit_loops_points) || - DRW_ibo_requested(cache->ibo.edit_loops_lines)) - { - mesh_create_edit_loops_points_lines(rdata, cache->ibo.edit_loops_points, cache->ibo.edit_loops_lines); - } - if (DRW_ibo_requested(cache->ibo.edit_loops_tris)) { - mesh_create_edit_loops_tris(rdata, cache->ibo.edit_loops_tris); - } - - /* UV editor */ - /** - * TODO: The code and data structure is ready to support modified UV display - * but the selection code for UVs needs to support it first. So for now, only - * display the cage in all cases. - */ - if (rdata && rdata->mapped.supported) { - rdata->mapped.use = false; - } - - if (DRW_vbo_requested(cache->edit.loop_uv_data) || - DRW_vbo_requested(cache->edit.loop_uv)) - { - mesh_create_edit_vertex_loops( - rdata, - NULL, - NULL, - cache->edit.loop_uv, - cache->edit.loop_uv_data, - NULL, - NULL, - NULL); - } - if (DRW_vbo_requested(cache->edit.loop_stretch_angle) || - DRW_vbo_requested(cache->edit.loop_stretch_area) || - DRW_vbo_requested(cache->edit.facedots_uv) || - DRW_vbo_requested(cache->edit.facedots_uv_data) || - DRW_ibo_requested(cache->ibo.edituv_loops_points) || - DRW_ibo_requested(cache->ibo.edituv_loops_line_strips) || - DRW_ibo_requested(cache->ibo.edituv_loops_tri_fans)) - { - mesh_create_uvedit_buffers(rdata, - cache->edit.loop_stretch_area, cache->edit.loop_stretch_angle, - cache->edit.facedots_uv, cache->edit.facedots_uv_data, - cache->ibo.edituv_loops_points, - cache->ibo.edituv_loops_line_strips, - cache->ibo.edituv_loops_tri_fans); - } - - if (rdata) { - mesh_render_data_free(rdata); - } + MeshBatchCache *cache = mesh_batch_cache_get(me); + + /* Check vertex weights. */ + if ((cache->batch.surface_weights != 0) && (ts != NULL)) { + struct DRW_MeshWeightState wstate; + BLI_assert(ob->type == OB_MESH); + drw_mesh_weight_state_extract(ob, me, ts, is_paint_mode, &wstate); + mesh_batch_cache_check_vertex_group(cache, &wstate); + drw_mesh_weight_state_copy(&cache->weight_state, &wstate); + drw_mesh_weight_state_clear(&wstate); + } + + /* Verify that all surface batches have needed attribute layers. */ + /* TODO(fclem): We could be a bit smarter here and only do it per material. */ + bool cd_overlap = mesh_cd_layers_type_overlap(cache->cd_used, cache->cd_needed); + if (cd_overlap == false) { + if ((cache->cd_used.uv & cache->cd_needed.uv) != cache->cd_needed.uv || + (cache->cd_used.tan & cache->cd_needed.tan) != cache->cd_needed.tan || + cache->cd_used.tan_orco != cache->cd_needed.tan_orco) { + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_uv_tan); + } + if (cache->cd_used.orco != cache->cd_needed.orco) { + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_orco); + } + if ((cache->cd_used.vcol & cache->cd_needed.vcol) != cache->cd_needed.vcol) { + GPU_VERTBUF_DISCARD_SAFE(cache->ordered.loop_vcol); + } + /* We can't discard batches at this point as they have been + * referenced for drawing. Just clear them in place. */ + for (int i = 0; i < cache->mat_len; ++i) { + GPU_BATCH_CLEAR_SAFE(cache->surf_per_mat[i]); + } + GPU_BATCH_CLEAR_SAFE(cache->batch.surface); + + mesh_cd_layers_type_merge(&cache->cd_used, cache->cd_needed); + } + mesh_cd_layers_type_clear(&cache->cd_needed); + + /* Discard UV batches if sync_selection changes */ + if (ts != NULL) { + const bool is_uvsyncsel = (ts->uv_flag & UV_SYNC_SELECTION); + if (cache->is_uvsyncsel != is_uvsyncsel) { + cache->is_uvsyncsel = is_uvsyncsel; + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv_data); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_angle); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_stretch_area); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.loop_uv); + GPU_VERTBUF_DISCARD_SAFE(cache->edit.facedots_uv); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_tri_fans); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_line_strips); + GPU_INDEXBUF_DISCARD_SAFE(cache->ibo.edituv_loops_points); + /* We only clear the batches as they may already have been referenced. */ + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces_strech_area); + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces_strech_angle); + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_faces); + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_edges); + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_verts); + GPU_BATCH_CLEAR_SAFE(cache->batch.edituv_facedots); + } + } + + /* Init batches and request VBOs & IBOs */ + if (DRW_batch_requested(cache->batch.surface, GPU_PRIM_TRIS)) { + DRW_ibo_request(cache->batch.surface, &cache->ibo.loops_tris); + DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_pos_nor); + /* For paint overlay. Active layer should have been queried. */ + if (cache->cd_used.uv != 0) { + DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_uv_tan); + } + if (cache->cd_used.vcol != 0) { + DRW_vbo_request(cache->batch.surface, &cache->ordered.loop_vcol); + } + } + if (DRW_batch_requested(cache->batch.all_verts, GPU_PRIM_POINTS)) { + DRW_vbo_request(cache->batch.all_verts, &cache->ordered.pos_nor); + } + if (DRW_batch_requested(cache->batch.all_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.all_edges, &cache->ibo.edges_lines); + DRW_vbo_request(cache->batch.all_edges, &cache->ordered.pos_nor); + } + if (DRW_batch_requested(cache->batch.loose_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.loose_edges, &cache->ibo.loose_edges_lines); + DRW_vbo_request(cache->batch.loose_edges, &cache->ordered.pos_nor); + } + if (DRW_batch_requested(cache->batch.edge_detection, GPU_PRIM_LINES_ADJ)) { + DRW_ibo_request(cache->batch.edge_detection, &cache->ibo.edges_adj_lines); + DRW_vbo_request(cache->batch.edge_detection, &cache->ordered.pos_nor); + } + if (DRW_batch_requested(cache->batch.surface_weights, GPU_PRIM_TRIS)) { + DRW_ibo_request(cache->batch.surface_weights, &cache->ibo.surf_tris); + DRW_vbo_request(cache->batch.surface_weights, &cache->ordered.pos_nor); + DRW_vbo_request(cache->batch.surface_weights, &cache->ordered.weights); + } + if (DRW_batch_requested(cache->batch.wire_loops, GPU_PRIM_LINE_STRIP)) { + DRW_ibo_request(cache->batch.wire_loops, &cache->ibo.loops_line_strips); + DRW_vbo_request(cache->batch.wire_loops, &cache->ordered.loop_pos_nor); + } + if (DRW_batch_requested(cache->batch.wire_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.wire_edges, &cache->ibo.loops_lines); + DRW_vbo_request(cache->batch.wire_edges, &cache->ordered.loop_pos_nor); + DRW_vbo_request(cache->batch.wire_edges, &cache->ordered.loop_edge_fac); + } + if (DRW_batch_requested(cache->batch.wire_loops_uvs, GPU_PRIM_LINE_STRIP)) { + DRW_ibo_request(cache->batch.wire_loops_uvs, &cache->ibo.loops_line_strips); + /* For paint overlay. Active layer should have been queried. */ + if (cache->cd_used.uv != 0) { + DRW_vbo_request(cache->batch.wire_loops_uvs, &cache->ordered.loop_uv_tan); + } + } + + /* Edit Mesh */ + if (DRW_batch_requested(cache->batch.edit_triangles, GPU_PRIM_TRIS)) { + DRW_ibo_request(cache->batch.edit_triangles, &cache->ibo.edit_loops_tris); + DRW_vbo_request(cache->batch.edit_triangles, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_triangles, &cache->edit.loop_data); + } + if (DRW_batch_requested(cache->batch.edit_vertices, GPU_PRIM_POINTS)) { + DRW_ibo_request(cache->batch.edit_vertices, &cache->ibo.edit_loops_points); + DRW_vbo_request(cache->batch.edit_vertices, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_vertices, &cache->edit.loop_data); + } + if (DRW_batch_requested(cache->batch.edit_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.edit_edges, &cache->ibo.edit_loops_lines); + DRW_vbo_request(cache->batch.edit_edges, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_edges, &cache->edit.loop_data); + } + if (DRW_batch_requested(cache->batch.edit_lnor, GPU_PRIM_POINTS)) { + DRW_ibo_request(cache->batch.edit_lnor, &cache->ibo.edit_loops_tris); + DRW_vbo_request(cache->batch.edit_lnor, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_lnor, &cache->edit.loop_lnor); + } + if (DRW_batch_requested(cache->batch.edit_facedots, GPU_PRIM_POINTS)) { + DRW_vbo_request(cache->batch.edit_facedots, &cache->edit.facedots_pos_nor_data); + } + + /* Edit UV */ + if (DRW_batch_requested(cache->batch.edituv_faces, GPU_PRIM_TRI_FAN)) { + DRW_ibo_request(cache->batch.edituv_faces, &cache->ibo.edituv_loops_tri_fans); + DRW_vbo_request(cache->batch.edituv_faces, &cache->edit.loop_uv); + DRW_vbo_request(cache->batch.edituv_faces, &cache->edit.loop_uv_data); + } + if (DRW_batch_requested(cache->batch.edituv_faces_strech_area, GPU_PRIM_TRI_FAN)) { + DRW_ibo_request(cache->batch.edituv_faces_strech_area, &cache->ibo.edituv_loops_tri_fans); + DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_uv); + DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_uv_data); + DRW_vbo_request(cache->batch.edituv_faces_strech_area, &cache->edit.loop_stretch_area); + } + if (DRW_batch_requested(cache->batch.edituv_faces_strech_angle, GPU_PRIM_TRI_FAN)) { + DRW_ibo_request(cache->batch.edituv_faces_strech_angle, &cache->ibo.edituv_loops_tri_fans); + DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_uv); + DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_uv_data); + DRW_vbo_request(cache->batch.edituv_faces_strech_angle, &cache->edit.loop_stretch_angle); + } + if (DRW_batch_requested(cache->batch.edituv_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.edituv_edges, &cache->ibo.edituv_loops_line_strips); + DRW_vbo_request(cache->batch.edituv_edges, &cache->edit.loop_uv); + DRW_vbo_request(cache->batch.edituv_edges, &cache->edit.loop_uv_data); + } + if (DRW_batch_requested(cache->batch.edituv_verts, GPU_PRIM_POINTS)) { + DRW_ibo_request(cache->batch.edituv_verts, &cache->ibo.edituv_loops_points); + DRW_vbo_request(cache->batch.edituv_verts, &cache->edit.loop_uv); + DRW_vbo_request(cache->batch.edituv_verts, &cache->edit.loop_uv_data); + } + if (DRW_batch_requested(cache->batch.edituv_facedots, GPU_PRIM_POINTS)) { + DRW_vbo_request(cache->batch.edituv_facedots, &cache->edit.facedots_uv); + DRW_vbo_request(cache->batch.edituv_facedots, &cache->edit.facedots_uv_data); + } + + /* Selection */ + /* TODO reuse ordered.loop_pos_nor if possible. */ + if (DRW_batch_requested(cache->batch.edit_selection_verts, GPU_PRIM_POINTS)) { + DRW_ibo_request(cache->batch.edit_selection_verts, &cache->ibo.edit_loops_points); + DRW_vbo_request(cache->batch.edit_selection_verts, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_selection_verts, &cache->edit.loop_vert_idx); + } + if (DRW_batch_requested(cache->batch.edit_selection_edges, GPU_PRIM_LINES)) { + DRW_ibo_request(cache->batch.edit_selection_edges, &cache->ibo.edit_loops_lines); + DRW_vbo_request(cache->batch.edit_selection_edges, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_selection_edges, &cache->edit.loop_edge_idx); + } + if (DRW_batch_requested(cache->batch.edit_selection_faces, GPU_PRIM_TRIS)) { + DRW_ibo_request(cache->batch.edit_selection_faces, &cache->ibo.edit_loops_tris); + DRW_vbo_request(cache->batch.edit_selection_faces, &cache->edit.loop_pos_nor); + DRW_vbo_request(cache->batch.edit_selection_faces, &cache->edit.loop_face_idx); + } + if (DRW_batch_requested(cache->batch.edit_selection_facedots, GPU_PRIM_POINTS)) { + DRW_vbo_request(cache->batch.edit_selection_facedots, &cache->edit.facedots_pos_nor_data); + DRW_vbo_request(cache->batch.edit_selection_facedots, &cache->edit.facedots_idx); + } + + /* Per Material */ + for (int i = 0; i < cache->mat_len; ++i) { + if (DRW_batch_requested(cache->surf_per_mat[i], GPU_PRIM_TRIS)) { + if (cache->mat_len > 1) { + DRW_ibo_request(cache->surf_per_mat[i], &cache->surf_per_mat_tris[i]); + } + else { + DRW_ibo_request(cache->surf_per_mat[i], &cache->ibo.loops_tris); + } + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_pos_nor); + if ((cache->cd_used.uv != 0) || (cache->cd_used.tan != 0) || + (cache->cd_used.tan_orco != 0)) { + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_uv_tan); + } + if (cache->cd_used.vcol != 0) { + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_vcol); + } + if (cache->cd_used.orco != 0) { + /* OPTI : Only do that if there is modifiers that modify orcos. */ + CustomData *cd_vdata = (me->edit_mesh) ? &me->edit_mesh->bm->vdata : &me->vdata; + if (CustomData_get_layer(cd_vdata, CD_ORCO) != NULL && ob->modifiers.first != NULL) { + DRW_vbo_request(cache->surf_per_mat[i], &cache->ordered.loop_orco); + } + else if (cache->cd_used.tan_orco == 0) { + /* Skip orco calculation if not needed by tangent generation. */ + cache->cd_used.orco = 0; + } + } + } + } + + /* Generate MeshRenderData flags */ + int mr_flag = 0, mr_edit_flag = 0; + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, cache->ordered.pos_nor, MR_DATATYPE_VERT); + DRW_ADD_FLAG_FROM_VBO_REQUEST( + mr_flag, cache->ordered.weights, MR_DATATYPE_VERT | MR_DATATYPE_DVERT); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, + cache->ordered.loop_pos_nor, + MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, + cache->ordered.loop_uv_tan, + MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_SHADING | MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, + cache->ordered.loop_orco, + MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_SHADING); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, + cache->ordered.loop_vcol, + MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_SHADING); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_flag, + cache->ordered.loop_edge_fac, + MR_DATATYPE_VERT | MR_DATATYPE_POLY | MR_DATATYPE_EDGE | + MR_DATATYPE_LOOP); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, + cache->ibo.surf_tris, + MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | + MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_flag, cache->ibo.loops_tris, MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_flag, cache->ibo.loops_lines, MR_DATATYPE_LOOP | MR_DATATYPE_EDGE | MR_DATATYPE_POLY); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_flag, cache->ibo.loops_line_strips, MR_DATATYPE_LOOP | MR_DATATYPE_POLY); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_flag, cache->ibo.edges_lines, MR_DATATYPE_VERT | MR_DATATYPE_EDGE); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, + cache->ibo.edges_adj_lines, + MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | + MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_flag, cache->ibo.loose_edges_lines, MR_DATATYPE_VERT | MR_DATATYPE_EDGE); + for (int i = 0; i < cache->mat_len; ++i) { + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_flag, + cache->surf_per_mat_tris[i], + MR_DATATYPE_LOOP | MR_DATATYPE_POLY | MR_DATATYPE_LOOPTRI); + } + + int combined_edit_flag = MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOP | + MR_DATATYPE_POLY | MR_DATATYPE_LOOSE_VERT | MR_DATATYPE_LOOSE_EDGE | + MR_DATATYPE_OVERLAY; + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_pos_nor, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_lnor, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_data, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_uv_data, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST( + mr_edit_flag, cache->edit.loop_uv, combined_edit_flag | MR_DATATYPE_LOOPUV); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, + cache->edit.loop_vert_idx, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, + cache->edit.loop_edge_idx, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, + cache->edit.loop_face_idx, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_idx, MR_DATATYPE_POLY); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, + cache->edit.facedots_pos_nor_data, + MR_DATATYPE_VERT | MR_DATATYPE_LOOP | MR_DATATYPE_POLY | + MR_DATATYPE_OVERLAY); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_stretch_angle, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.loop_stretch_area, combined_edit_flag); + DRW_ADD_FLAG_FROM_VBO_REQUEST( + mr_edit_flag, cache->edit.facedots_uv, combined_edit_flag | MR_DATATYPE_LOOPUV); + DRW_ADD_FLAG_FROM_VBO_REQUEST(mr_edit_flag, cache->edit.facedots_uv_data, combined_edit_flag); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, cache->ibo.edituv_loops_points, combined_edit_flag); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_edit_flag, cache->ibo.edituv_loops_line_strips, combined_edit_flag); + DRW_ADD_FLAG_FROM_IBO_REQUEST( + mr_edit_flag, cache->ibo.edituv_loops_tri_fans, combined_edit_flag); + /* TODO: Some of the flags here may not be needed. */ + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, + cache->ibo.edit_loops_points, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, + cache->ibo.edit_loops_lines, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_LOOPTRI); + DRW_ADD_FLAG_FROM_IBO_REQUEST(mr_edit_flag, + cache->ibo.edit_loops_tris, + MR_DATATYPE_VERT | MR_DATATYPE_EDGE | MR_DATATYPE_LOOSE_VERT | + MR_DATATYPE_LOOSE_EDGE | MR_DATATYPE_POLY | MR_DATATYPE_LOOP | + MR_DATATYPE_LOOPTRI); + + Mesh *me_original = me; + MBC_GET_FINAL_MESH(me); + + if (me_original == me) { + mr_flag |= mr_edit_flag; + } + + MeshRenderData *rdata = NULL; + + if (mr_flag != 0) { + rdata = mesh_render_data_create_ex(me, mr_flag, &cache->cd_used, ts); + } + + /* Generate VBOs */ + if (DRW_vbo_requested(cache->ordered.pos_nor)) { + mesh_create_pos_and_nor(rdata, cache->ordered.pos_nor); + } + if (DRW_vbo_requested(cache->ordered.weights)) { + mesh_create_weights(rdata, cache->ordered.weights, &cache->weight_state); + } + if (DRW_vbo_requested(cache->ordered.loop_pos_nor)) { + mesh_create_loop_pos_and_nor(rdata, cache->ordered.loop_pos_nor); + } + if (DRW_vbo_requested(cache->ordered.loop_edge_fac)) { + mesh_create_loop_edge_fac(rdata, cache->ordered.loop_edge_fac); + } + if (DRW_vbo_requested(cache->ordered.loop_uv_tan)) { + mesh_create_loop_uv_and_tan(rdata, cache->ordered.loop_uv_tan); + } + if (DRW_vbo_requested(cache->ordered.loop_orco)) { + mesh_create_loop_orco(rdata, cache->ordered.loop_orco); + } + if (DRW_vbo_requested(cache->ordered.loop_vcol)) { + mesh_create_loop_vcol(rdata, cache->ordered.loop_vcol); + } + if (DRW_ibo_requested(cache->ibo.edges_lines)) { + mesh_create_edges_lines(rdata, cache->ibo.edges_lines, use_hide); + } + if (DRW_ibo_requested(cache->ibo.edges_adj_lines)) { + mesh_create_edges_adjacency_lines( + rdata, cache->ibo.edges_adj_lines, &cache->is_manifold, use_hide); + } + if (DRW_ibo_requested(cache->ibo.loose_edges_lines)) { + mesh_create_loose_edges_lines(rdata, cache->ibo.loose_edges_lines, use_hide); + } + if (DRW_ibo_requested(cache->ibo.surf_tris)) { + mesh_create_surf_tris(rdata, cache->ibo.surf_tris, use_hide); + } + if (DRW_ibo_requested(cache->ibo.loops_lines)) { + mesh_create_loops_lines(rdata, cache->ibo.loops_lines, use_hide); + } + if (DRW_ibo_requested(cache->ibo.loops_line_strips)) { + mesh_create_loops_line_strips(rdata, cache->ibo.loops_line_strips, use_hide); + } + if (DRW_ibo_requested(cache->ibo.loops_tris)) { + mesh_create_loops_tris(rdata, &cache->ibo.loops_tris, 1, use_hide); + } + if (DRW_ibo_requested(cache->surf_per_mat_tris[0])) { + mesh_create_loops_tris(rdata, cache->surf_per_mat_tris, cache->mat_len, use_hide); + } + + /* Use original Mesh* to have the correct edit cage. */ + if (me_original != me && mr_edit_flag != 0) { + if (rdata) { + mesh_render_data_free(rdata); + } + rdata = mesh_render_data_create_ex(me_original, mr_edit_flag, NULL, ts); + } + + if (rdata && rdata->mapped.supported) { + rdata->mapped.use = true; + } + + if (DRW_vbo_requested(cache->edit.loop_pos_nor) || DRW_vbo_requested(cache->edit.loop_lnor) || + DRW_vbo_requested(cache->edit.loop_data) || DRW_vbo_requested(cache->edit.loop_vert_idx) || + DRW_vbo_requested(cache->edit.loop_edge_idx) || + DRW_vbo_requested(cache->edit.loop_face_idx)) { + mesh_create_edit_vertex_loops(rdata, + cache->edit.loop_pos_nor, + cache->edit.loop_lnor, + NULL, + cache->edit.loop_data, + cache->edit.loop_vert_idx, + cache->edit.loop_edge_idx, + cache->edit.loop_face_idx); + } + if (DRW_vbo_requested(cache->edit.facedots_pos_nor_data)) { + mesh_create_edit_facedots(rdata, cache->edit.facedots_pos_nor_data); + } + if (DRW_vbo_requested(cache->edit.facedots_idx)) { + mesh_create_edit_facedots_select_id(rdata, cache->edit.facedots_idx); + } + if (DRW_ibo_requested(cache->ibo.edit_loops_points) || + DRW_ibo_requested(cache->ibo.edit_loops_lines)) { + mesh_create_edit_loops_points_lines( + rdata, cache->ibo.edit_loops_points, cache->ibo.edit_loops_lines); + } + if (DRW_ibo_requested(cache->ibo.edit_loops_tris)) { + mesh_create_edit_loops_tris(rdata, cache->ibo.edit_loops_tris); + } + + /* UV editor */ + /** + * TODO: The code and data structure is ready to support modified UV display + * but the selection code for UVs needs to support it first. So for now, only + * display the cage in all cases. + */ + if (rdata && rdata->mapped.supported) { + rdata->mapped.use = false; + } + + if (DRW_vbo_requested(cache->edit.loop_uv_data) || DRW_vbo_requested(cache->edit.loop_uv)) { + mesh_create_edit_vertex_loops( + rdata, NULL, NULL, cache->edit.loop_uv, cache->edit.loop_uv_data, NULL, NULL, NULL); + } + if (DRW_vbo_requested(cache->edit.loop_stretch_angle) || + DRW_vbo_requested(cache->edit.loop_stretch_area) || + DRW_vbo_requested(cache->edit.facedots_uv) || + DRW_vbo_requested(cache->edit.facedots_uv_data) || + DRW_ibo_requested(cache->ibo.edituv_loops_points) || + DRW_ibo_requested(cache->ibo.edituv_loops_line_strips) || + DRW_ibo_requested(cache->ibo.edituv_loops_tri_fans)) { + mesh_create_uvedit_buffers(rdata, + cache->edit.loop_stretch_area, + cache->edit.loop_stretch_angle, + cache->edit.facedots_uv, + cache->edit.facedots_uv_data, + cache->ibo.edituv_loops_points, + cache->ibo.edituv_loops_line_strips, + cache->ibo.edituv_loops_tri_fans); + } + + if (rdata) { + mesh_render_data_free(rdata); + } #ifdef DEBUG - /* Make sure all requested batches have been setup. */ - for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { - BLI_assert(!DRW_batch_requested(((GPUBatch **)&cache->batch)[i], 0)); - } + /* Make sure all requested batches have been setup. */ + for (int i = 0; i < sizeof(cache->batch) / sizeof(void *); ++i) { + BLI_assert(!DRW_batch_requested(((GPUBatch **)&cache->batch)[i], 0)); + } #endif } diff --git a/source/blender/draw/intern/draw_cache_impl_metaball.c b/source/blender/draw/intern/draw_cache_impl_metaball.c index 46c247d67ea..2c06d536f3d 100644 --- a/source/blender/draw/intern/draw_cache_impl_metaball.c +++ b/source/blender/draw/intern/draw_cache_impl_metaball.c @@ -35,9 +35,7 @@ #include "GPU_batch.h" - -#include "draw_cache_impl.h" /* own include */ - +#include "draw_cache_impl.h" /* own include */ static void metaball_batch_cache_clear(MetaBall *mb); @@ -45,127 +43,128 @@ static void metaball_batch_cache_clear(MetaBall *mb); /* MetaBall GPUBatch Cache */ typedef struct MetaBallBatchCache { - GPUBatch *batch; - GPUBatch **shaded_triangles; + GPUBatch *batch; + GPUBatch **shaded_triangles; - int mat_len; + int mat_len; - /* Shared */ - GPUVertBuf *pos_nor_in_order; + /* Shared */ + GPUVertBuf *pos_nor_in_order; - /* Wireframe */ - struct { - GPUBatch *batch; - } face_wire; + /* Wireframe */ + struct { + GPUBatch *batch; + } face_wire; - /* Edge detection */ - GPUBatch *edge_detection; - GPUIndexBuf *edges_adj_lines; + /* Edge detection */ + GPUBatch *edge_detection; + GPUIndexBuf *edges_adj_lines; - /* settings to determine if cache is invalid */ - bool is_dirty; + /* settings to determine if cache is invalid */ + bool is_dirty; - /* Valid only if edge_detection is up to date. */ - bool is_manifold; + /* Valid only if edge_detection is up to date. */ + bool is_manifold; } MetaBallBatchCache; /* GPUBatch cache management. */ static bool metaball_batch_cache_valid(MetaBall *mb) { - MetaBallBatchCache *cache = mb->batch_cache; + MetaBallBatchCache *cache = mb->batch_cache; - if (cache == NULL) { - return false; - } + if (cache == NULL) { + return false; + } - return cache->is_dirty == false; + return cache->is_dirty == false; } static void metaball_batch_cache_init(MetaBall *mb) { - MetaBallBatchCache *cache = mb->batch_cache; - - if (!cache) { - cache = mb->batch_cache = MEM_mallocN(sizeof(*cache), __func__); - } - cache->batch = NULL; - cache->mat_len = 0; - cache->shaded_triangles = NULL; - cache->is_dirty = false; - cache->pos_nor_in_order = NULL; - cache->face_wire.batch = NULL; - cache->edge_detection = NULL; - cache->edges_adj_lines = NULL; - cache->is_manifold = false; + MetaBallBatchCache *cache = mb->batch_cache; + + if (!cache) { + cache = mb->batch_cache = MEM_mallocN(sizeof(*cache), __func__); + } + cache->batch = NULL; + cache->mat_len = 0; + cache->shaded_triangles = NULL; + cache->is_dirty = false; + cache->pos_nor_in_order = NULL; + cache->face_wire.batch = NULL; + cache->edge_detection = NULL; + cache->edges_adj_lines = NULL; + cache->is_manifold = false; } static MetaBallBatchCache *metaball_batch_cache_get(MetaBall *mb) { - if (!metaball_batch_cache_valid(mb)) { - metaball_batch_cache_clear(mb); - metaball_batch_cache_init(mb); - } - return mb->batch_cache; + if (!metaball_batch_cache_valid(mb)) { + metaball_batch_cache_clear(mb); + metaball_batch_cache_init(mb); + } + return mb->batch_cache; } void DRW_mball_batch_cache_dirty_tag(MetaBall *mb, int mode) { - MetaBallBatchCache *cache = mb->batch_cache; - if (cache == NULL) { - return; - } - switch (mode) { - case BKE_MBALL_BATCH_DIRTY_ALL: - cache->is_dirty = true; - break; - default: - BLI_assert(0); - } + MetaBallBatchCache *cache = mb->batch_cache; + if (cache == NULL) { + return; + } + switch (mode) { + case BKE_MBALL_BATCH_DIRTY_ALL: + cache->is_dirty = true; + break; + default: + BLI_assert(0); + } } static void metaball_batch_cache_clear(MetaBall *mb) { - MetaBallBatchCache *cache = mb->batch_cache; - if (!cache) { - return; - } - - GPU_BATCH_DISCARD_SAFE(cache->face_wire.batch); - GPU_BATCH_DISCARD_SAFE(cache->batch); - GPU_BATCH_DISCARD_SAFE(cache->edge_detection); - GPU_VERTBUF_DISCARD_SAFE(cache->pos_nor_in_order); - GPU_INDEXBUF_DISCARD_SAFE(cache->edges_adj_lines); - /* Note: shaded_triangles[0] is already freed by cache->batch */ - MEM_SAFE_FREE(cache->shaded_triangles); - cache->mat_len = 0; - cache->is_manifold = false; + MetaBallBatchCache *cache = mb->batch_cache; + if (!cache) { + return; + } + + GPU_BATCH_DISCARD_SAFE(cache->face_wire.batch); + GPU_BATCH_DISCARD_SAFE(cache->batch); + GPU_BATCH_DISCARD_SAFE(cache->edge_detection); + GPU_VERTBUF_DISCARD_SAFE(cache->pos_nor_in_order); + GPU_INDEXBUF_DISCARD_SAFE(cache->edges_adj_lines); + /* Note: shaded_triangles[0] is already freed by cache->batch */ + MEM_SAFE_FREE(cache->shaded_triangles); + cache->mat_len = 0; + cache->is_manifold = false; } void DRW_mball_batch_cache_free(MetaBall *mb) { - metaball_batch_cache_clear(mb); - MEM_SAFE_FREE(mb->batch_cache); + metaball_batch_cache_clear(mb); + MEM_SAFE_FREE(mb->batch_cache); } static GPUVertBuf *mball_batch_cache_get_pos_and_normals(Object *ob, MetaBallBatchCache *cache) { - if (cache->pos_nor_in_order == NULL) { - ListBase *lb = &ob->runtime.curve_cache->disp; - cache->pos_nor_in_order = MEM_callocN(sizeof(GPUVertBuf), __func__); - DRW_displist_vertbuf_create_pos_and_nor(lb, cache->pos_nor_in_order); - } - return cache->pos_nor_in_order; + if (cache->pos_nor_in_order == NULL) { + ListBase *lb = &ob->runtime.curve_cache->disp; + cache->pos_nor_in_order = MEM_callocN(sizeof(GPUVertBuf), __func__); + DRW_displist_vertbuf_create_pos_and_nor(lb, cache->pos_nor_in_order); + } + return cache->pos_nor_in_order; } static GPUIndexBuf *mball_batch_cache_get_edges_adj_lines(Object *ob, MetaBallBatchCache *cache) { - if (cache->edges_adj_lines == NULL) { - ListBase *lb = &ob->runtime.curve_cache->disp; - cache->edges_adj_lines = MEM_callocN(sizeof(GPUVertBuf), __func__); - DRW_displist_indexbuf_create_edges_adjacency_lines(lb, cache->edges_adj_lines, &cache->is_manifold); - } - return cache->edges_adj_lines; + if (cache->edges_adj_lines == NULL) { + ListBase *lb = &ob->runtime.curve_cache->disp; + cache->edges_adj_lines = MEM_callocN(sizeof(GPUVertBuf), __func__); + DRW_displist_indexbuf_create_edges_adjacency_lines( + lb, cache->edges_adj_lines, &cache->is_manifold); + } + return cache->edges_adj_lines; } /* -------------------------------------------------------------------- */ @@ -174,95 +173,96 @@ static GPUIndexBuf *mball_batch_cache_get_edges_adj_lines(Object *ob, MetaBallBa GPUBatch *DRW_metaball_batch_cache_get_triangles_with_normals(Object *ob) { - if (!BKE_mball_is_basis(ob)) { - return NULL; - } - - MetaBall *mb = ob->data; - MetaBallBatchCache *cache = metaball_batch_cache_get(mb); - - if (cache->batch == NULL) { - ListBase *lb = &ob->runtime.curve_cache->disp; - GPUIndexBuf *ibo = MEM_callocN(sizeof(GPUIndexBuf), __func__); - DRW_displist_indexbuf_create_triangles_in_order(lb, ibo); - cache->batch = GPU_batch_create_ex( - GPU_PRIM_TRIS, - mball_batch_cache_get_pos_and_normals(ob, cache), - ibo, - GPU_BATCH_OWNS_INDEX); - } - - return cache->batch; + if (!BKE_mball_is_basis(ob)) { + return NULL; + } + + MetaBall *mb = ob->data; + MetaBallBatchCache *cache = metaball_batch_cache_get(mb); + + if (cache->batch == NULL) { + ListBase *lb = &ob->runtime.curve_cache->disp; + GPUIndexBuf *ibo = MEM_callocN(sizeof(GPUIndexBuf), __func__); + DRW_displist_indexbuf_create_triangles_in_order(lb, ibo); + cache->batch = GPU_batch_create_ex(GPU_PRIM_TRIS, + mball_batch_cache_get_pos_and_normals(ob, cache), + ibo, + GPU_BATCH_OWNS_INDEX); + } + + return cache->batch; } -GPUBatch **DRW_metaball_batch_cache_get_surface_shaded(Object *ob, MetaBall *mb, struct GPUMaterial **UNUSED(gpumat_array), uint gpumat_array_len) +GPUBatch **DRW_metaball_batch_cache_get_surface_shaded(Object *ob, + MetaBall *mb, + struct GPUMaterial **UNUSED(gpumat_array), + uint gpumat_array_len) { - if (!BKE_mball_is_basis(ob)) { - return NULL; - } - - MetaBallBatchCache *cache = metaball_batch_cache_get(mb); - if (cache->shaded_triangles == NULL) { - cache->mat_len = gpumat_array_len; - cache->shaded_triangles = MEM_callocN(sizeof(*cache->shaded_triangles) * cache->mat_len, __func__); - cache->shaded_triangles[0] = DRW_metaball_batch_cache_get_triangles_with_normals(ob); - for (int i = 1; i < cache->mat_len; ++i) { - cache->shaded_triangles[i] = NULL; - } - } - return cache->shaded_triangles; - + if (!BKE_mball_is_basis(ob)) { + return NULL; + } + + MetaBallBatchCache *cache = metaball_batch_cache_get(mb); + if (cache->shaded_triangles == NULL) { + cache->mat_len = gpumat_array_len; + cache->shaded_triangles = MEM_callocN(sizeof(*cache->shaded_triangles) * cache->mat_len, + __func__); + cache->shaded_triangles[0] = DRW_metaball_batch_cache_get_triangles_with_normals(ob); + for (int i = 1; i < cache->mat_len; ++i) { + cache->shaded_triangles[i] = NULL; + } + } + return cache->shaded_triangles; } GPUBatch *DRW_metaball_batch_cache_get_wireframes_face(Object *ob) { - if (!BKE_mball_is_basis(ob)) { - return NULL; - } + if (!BKE_mball_is_basis(ob)) { + return NULL; + } - MetaBall *mb = ob->data; - MetaBallBatchCache *cache = metaball_batch_cache_get(mb); + MetaBall *mb = ob->data; + MetaBallBatchCache *cache = metaball_batch_cache_get(mb); - if (cache->face_wire.batch == NULL) { - ListBase *lb = &ob->runtime.curve_cache->disp; + if (cache->face_wire.batch == NULL) { + ListBase *lb = &ob->runtime.curve_cache->disp; - GPUVertBuf *vbo_wiredata = MEM_callocN(sizeof(GPUVertBuf), __func__); - DRW_displist_vertbuf_create_wiredata(lb, vbo_wiredata); + GPUVertBuf *vbo_wiredata = MEM_callocN(sizeof(GPUVertBuf), __func__); + DRW_displist_vertbuf_create_wiredata(lb, vbo_wiredata); - GPUIndexBuf *ibo = MEM_callocN(sizeof(GPUIndexBuf), __func__); - DRW_displist_indexbuf_create_lines_in_order(lb, ibo); + GPUIndexBuf *ibo = MEM_callocN(sizeof(GPUIndexBuf), __func__); + DRW_displist_indexbuf_create_lines_in_order(lb, ibo); - cache->face_wire.batch = GPU_batch_create_ex( - GPU_PRIM_LINES, - mball_batch_cache_get_pos_and_normals(ob, cache), - ibo, - GPU_BATCH_OWNS_INDEX); + cache->face_wire.batch = GPU_batch_create_ex(GPU_PRIM_LINES, + mball_batch_cache_get_pos_and_normals(ob, cache), + ibo, + GPU_BATCH_OWNS_INDEX); - GPU_batch_vertbuf_add_ex(cache->face_wire.batch, vbo_wiredata, true); - } + GPU_batch_vertbuf_add_ex(cache->face_wire.batch, vbo_wiredata, true); + } - return cache->face_wire.batch; + return cache->face_wire.batch; } -struct GPUBatch *DRW_metaball_batch_cache_get_edge_detection(struct Object *ob, bool *r_is_manifold) +struct GPUBatch *DRW_metaball_batch_cache_get_edge_detection(struct Object *ob, + bool *r_is_manifold) { - if (!BKE_mball_is_basis(ob)) { - return NULL; - } + if (!BKE_mball_is_basis(ob)) { + return NULL; + } - MetaBall *mb = ob->data; - MetaBallBatchCache *cache = metaball_batch_cache_get(mb); + MetaBall *mb = ob->data; + MetaBallBatchCache *cache = metaball_batch_cache_get(mb); - if (cache->edge_detection == NULL) { - cache->edge_detection = GPU_batch_create( - GPU_PRIM_LINES_ADJ, - mball_batch_cache_get_pos_and_normals(ob, cache), - mball_batch_cache_get_edges_adj_lines(ob, cache)); - } + if (cache->edge_detection == NULL) { + cache->edge_detection = GPU_batch_create(GPU_PRIM_LINES_ADJ, + mball_batch_cache_get_pos_and_normals(ob, cache), + mball_batch_cache_get_edges_adj_lines(ob, cache)); + } - if (r_is_manifold) { - *r_is_manifold = cache->is_manifold; - } + if (r_is_manifold) { + *r_is_manifold = cache->is_manifold; + } - return cache->edge_detection; + return cache->edge_detection; } \ No newline at end of file diff --git a/source/blender/draw/intern/draw_cache_impl_particles.c b/source/blender/draw/intern/draw_cache_impl_particles.c index b23d5e0fb9c..e998b17a44f 100644 --- a/source/blender/draw/intern/draw_cache_impl_particles.c +++ b/source/blender/draw/intern/draw_cache_impl_particles.c @@ -48,7 +48,7 @@ #include "DEG_depsgraph_query.h" -#include "draw_cache_impl.h" /* own include */ +#include "draw_cache_impl.h" /* own include */ #include "draw_hair_private.h" static void particle_batch_cache_clear(ParticleSystem *psys); @@ -57,1640 +57,1624 @@ static void particle_batch_cache_clear(ParticleSystem *psys); /* Particle GPUBatch Cache */ typedef struct ParticlePointCache { - GPUVertBuf *pos; - GPUBatch *points; - int elems_len; - int point_len; + GPUVertBuf *pos; + GPUBatch *points; + int elems_len; + int point_len; } ParticlePointCache; typedef struct ParticleBatchCache { - /* Object mode strands for hair and points for particle, - * strands for paths when in edit mode. - */ - ParticleHairCache hair; /* Used for hair strands */ - ParticlePointCache point; /* Used for particle points. */ + /* Object mode strands for hair and points for particle, + * strands for paths when in edit mode. + */ + ParticleHairCache hair; /* Used for hair strands */ + ParticlePointCache point; /* Used for particle points. */ - /* Control points when in edit mode. */ - ParticleHairCache edit_hair; + /* Control points when in edit mode. */ + ParticleHairCache edit_hair; - GPUVertBuf *edit_pos; - GPUBatch *edit_strands; + GPUVertBuf *edit_pos; + GPUBatch *edit_strands; - GPUVertBuf *edit_inner_pos; - GPUBatch *edit_inner_points; - int edit_inner_point_len; + GPUVertBuf *edit_inner_pos; + GPUBatch *edit_inner_points; + int edit_inner_point_len; - GPUVertBuf *edit_tip_pos; - GPUBatch *edit_tip_points; - int edit_tip_point_len; + GPUVertBuf *edit_tip_pos; + GPUBatch *edit_tip_points; + int edit_tip_point_len; - /* Settings to determine if cache is invalid. */ - bool is_dirty; - bool edit_is_weight; + /* Settings to determine if cache is invalid. */ + bool is_dirty; + bool edit_is_weight; } ParticleBatchCache; /* GPUBatch cache management. */ typedef struct HairAttributeID { - uint pos; - uint tan; - uint ind; + uint pos; + uint tan; + uint ind; } HairAttributeID; typedef struct EditStrandData { - float pos[3]; - uchar color; + float pos[3]; + uchar color; } EditStrandData; static GPUVertFormat *edit_points_vert_format_get(uint *r_pos_id, uint *r_color_id) { - static GPUVertFormat edit_point_format = { 0 }; - static uint pos_id, color_id; - if (edit_point_format.attr_len == 0) { - /* Keep in sync with EditStrandData */ - pos_id = GPU_vertformat_attr_add(&edit_point_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - color_id = GPU_vertformat_attr_add(&edit_point_format, "color", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - } - *r_pos_id = pos_id; - *r_color_id = color_id; - return &edit_point_format; + static GPUVertFormat edit_point_format = {0}; + static uint pos_id, color_id; + if (edit_point_format.attr_len == 0) { + /* Keep in sync with EditStrandData */ + pos_id = GPU_vertformat_attr_add(&edit_point_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + color_id = GPU_vertformat_attr_add( + &edit_point_format, "color", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + } + *r_pos_id = pos_id; + *r_color_id = color_id; + return &edit_point_format; } static bool particle_batch_cache_valid(ParticleSystem *psys) { - ParticleBatchCache *cache = psys->batch_cache; + ParticleBatchCache *cache = psys->batch_cache; - if (cache == NULL) { - return false; - } + if (cache == NULL) { + return false; + } - if (cache->is_dirty == false) { - return true; - } - else { - return false; - } + if (cache->is_dirty == false) { + return true; + } + else { + return false; + } - return true; + return true; } static void particle_batch_cache_init(ParticleSystem *psys) { - ParticleBatchCache *cache = psys->batch_cache; + ParticleBatchCache *cache = psys->batch_cache; - if (!cache) { - cache = psys->batch_cache = MEM_callocN(sizeof(*cache), __func__); - } - else { - memset(cache, 0, sizeof(*cache)); - } + if (!cache) { + cache = psys->batch_cache = MEM_callocN(sizeof(*cache), __func__); + } + else { + memset(cache, 0, sizeof(*cache)); + } - cache->is_dirty = false; + cache->is_dirty = false; } static ParticleBatchCache *particle_batch_cache_get(ParticleSystem *psys) { - if (!particle_batch_cache_valid(psys)) { - particle_batch_cache_clear(psys); - particle_batch_cache_init(psys); - } - return psys->batch_cache; + if (!particle_batch_cache_valid(psys)) { + particle_batch_cache_clear(psys); + particle_batch_cache_init(psys); + } + return psys->batch_cache; } void DRW_particle_batch_cache_dirty_tag(ParticleSystem *psys, int mode) { - ParticleBatchCache *cache = psys->batch_cache; - if (cache == NULL) { - return; - } - switch (mode) { - case BKE_PARTICLE_BATCH_DIRTY_ALL: - cache->is_dirty = true; - break; - default: - BLI_assert(0); - } + ParticleBatchCache *cache = psys->batch_cache; + if (cache == NULL) { + return; + } + switch (mode) { + case BKE_PARTICLE_BATCH_DIRTY_ALL: + cache->is_dirty = true; + break; + default: + BLI_assert(0); + } } static void particle_batch_cache_clear_point(ParticlePointCache *point_cache) { - GPU_BATCH_DISCARD_SAFE(point_cache->points); - GPU_VERTBUF_DISCARD_SAFE(point_cache->pos); + GPU_BATCH_DISCARD_SAFE(point_cache->points); + GPU_VERTBUF_DISCARD_SAFE(point_cache->pos); } static void particle_batch_cache_clear_hair(ParticleHairCache *hair_cache) { - /* TODO more granular update tagging. */ - GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_point_buf); - DRW_TEXTURE_FREE_SAFE(hair_cache->point_tex); - - GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_strand_buf); - GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_strand_seg_buf); - DRW_TEXTURE_FREE_SAFE(hair_cache->strand_tex); - DRW_TEXTURE_FREE_SAFE(hair_cache->strand_seg_tex); - - for (int i = 0; i < MAX_MTFACE; ++i) { - GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_uv_buf[i]); - DRW_TEXTURE_FREE_SAFE(hair_cache->uv_tex[i]); - } - for (int i = 0; i < MAX_MCOL; ++i) { - GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_col_buf[i]); - DRW_TEXTURE_FREE_SAFE(hair_cache->col_tex[i]); - } - for (int i = 0; i < MAX_HAIR_SUBDIV; ++i) { - GPU_VERTBUF_DISCARD_SAFE(hair_cache->final[i].proc_buf); - DRW_TEXTURE_FREE_SAFE(hair_cache->final[i].proc_tex); - for (int j = 0; j < MAX_THICKRES; ++j) { - GPU_BATCH_DISCARD_SAFE(hair_cache->final[i].proc_hairs[j]); - } - } - - /* "Normal" legacy hairs */ - GPU_BATCH_DISCARD_SAFE(hair_cache->hairs); - GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); - GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); + /* TODO more granular update tagging. */ + GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_point_buf); + DRW_TEXTURE_FREE_SAFE(hair_cache->point_tex); + + GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_strand_buf); + GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_strand_seg_buf); + DRW_TEXTURE_FREE_SAFE(hair_cache->strand_tex); + DRW_TEXTURE_FREE_SAFE(hair_cache->strand_seg_tex); + + for (int i = 0; i < MAX_MTFACE; ++i) { + GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_uv_buf[i]); + DRW_TEXTURE_FREE_SAFE(hair_cache->uv_tex[i]); + } + for (int i = 0; i < MAX_MCOL; ++i) { + GPU_VERTBUF_DISCARD_SAFE(hair_cache->proc_col_buf[i]); + DRW_TEXTURE_FREE_SAFE(hair_cache->col_tex[i]); + } + for (int i = 0; i < MAX_HAIR_SUBDIV; ++i) { + GPU_VERTBUF_DISCARD_SAFE(hair_cache->final[i].proc_buf); + DRW_TEXTURE_FREE_SAFE(hair_cache->final[i].proc_tex); + for (int j = 0; j < MAX_THICKRES; ++j) { + GPU_BATCH_DISCARD_SAFE(hair_cache->final[i].proc_hairs[j]); + } + } + + /* "Normal" legacy hairs */ + GPU_BATCH_DISCARD_SAFE(hair_cache->hairs); + GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); + GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); } static void particle_batch_cache_clear(ParticleSystem *psys) { - ParticleBatchCache *cache = psys->batch_cache; - if (!cache) { - return; - } + ParticleBatchCache *cache = psys->batch_cache; + if (!cache) { + return; + } - particle_batch_cache_clear_point(&cache->point); - particle_batch_cache_clear_hair(&cache->hair); + particle_batch_cache_clear_point(&cache->point); + particle_batch_cache_clear_hair(&cache->hair); - particle_batch_cache_clear_hair(&cache->edit_hair); + particle_batch_cache_clear_hair(&cache->edit_hair); - GPU_BATCH_DISCARD_SAFE(cache->edit_inner_points); - GPU_VERTBUF_DISCARD_SAFE(cache->edit_inner_pos); - GPU_BATCH_DISCARD_SAFE(cache->edit_tip_points); - GPU_VERTBUF_DISCARD_SAFE(cache->edit_tip_pos); + GPU_BATCH_DISCARD_SAFE(cache->edit_inner_points); + GPU_VERTBUF_DISCARD_SAFE(cache->edit_inner_pos); + GPU_BATCH_DISCARD_SAFE(cache->edit_tip_points); + GPU_VERTBUF_DISCARD_SAFE(cache->edit_tip_pos); } void DRW_particle_batch_cache_free(ParticleSystem *psys) { - particle_batch_cache_clear(psys); - MEM_SAFE_FREE(psys->batch_cache); + particle_batch_cache_clear(psys); + MEM_SAFE_FREE(psys->batch_cache); } -static void count_cache_segment_keys( - ParticleCacheKey **pathcache, - const int num_path_cache_keys, - ParticleHairCache *hair_cache) +static void count_cache_segment_keys(ParticleCacheKey **pathcache, + const int num_path_cache_keys, + ParticleHairCache *hair_cache) { - for (int i = 0; i < num_path_cache_keys; i++) { - ParticleCacheKey *path = pathcache[i]; - if (path->segments > 0) { - hair_cache->strands_len++; - hair_cache->elems_len += path->segments + 2; - hair_cache->point_len += path->segments + 1; - } - } + for (int i = 0; i < num_path_cache_keys; i++) { + ParticleCacheKey *path = pathcache[i]; + if (path->segments > 0) { + hair_cache->strands_len++; + hair_cache->elems_len += path->segments + 2; + hair_cache->point_len += path->segments + 1; + } + } } -static void ensure_seg_pt_count( - PTCacheEdit *edit, - ParticleSystem *psys, - ParticleHairCache *hair_cache) +static void ensure_seg_pt_count(PTCacheEdit *edit, + ParticleSystem *psys, + ParticleHairCache *hair_cache) { - if ((hair_cache->pos != NULL && hair_cache->indices != NULL) || - (hair_cache->proc_point_buf != NULL)) - { - return; - } - - hair_cache->strands_len = 0; - hair_cache->elems_len = 0; - hair_cache->point_len = 0; - - if (edit != NULL && edit->pathcache != NULL) { - count_cache_segment_keys(edit->pathcache, edit->totcached, hair_cache); - } - else { - if (psys->pathcache && - (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) - { - count_cache_segment_keys(psys->pathcache, psys->totpart, hair_cache); - } - if (psys->childcache) { - const int child_count = psys->totchild * psys->part->disp / 100; - count_cache_segment_keys(psys->childcache, child_count, hair_cache); - } - } + if ((hair_cache->pos != NULL && hair_cache->indices != NULL) || + (hair_cache->proc_point_buf != NULL)) { + return; + } + + hair_cache->strands_len = 0; + hair_cache->elems_len = 0; + hair_cache->point_len = 0; + + if (edit != NULL && edit->pathcache != NULL) { + count_cache_segment_keys(edit->pathcache, edit->totcached, hair_cache); + } + else { + if (psys->pathcache && (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) { + count_cache_segment_keys(psys->pathcache, psys->totpart, hair_cache); + } + if (psys->childcache) { + const int child_count = psys->totchild * psys->part->disp / 100; + count_cache_segment_keys(psys->childcache, child_count, hair_cache); + } + } } static void particle_pack_mcol(MCol *mcol, ushort r_scol[3]) { - /* Convert to linear ushort and swizzle */ - r_scol[0] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->b]); - r_scol[1] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->g]); - r_scol[2] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->r]); + /* Convert to linear ushort and swizzle */ + r_scol[0] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->b]); + r_scol[1] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->g]); + r_scol[2] = unit_float_to_ushort_clamp(BLI_color_from_srgb_table[mcol->r]); } /* Used by parent particles and simple children. */ -static void particle_calculate_parent_uvs( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const int num_uv_layers, - const int parent_index, - /*const*/ MTFace **mtfaces, - float (*r_uv)[2]) +static void particle_calculate_parent_uvs(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const int num_uv_layers, + const int parent_index, + /*const*/ MTFace **mtfaces, + float (*r_uv)[2]) { - if (psmd == NULL) { - return; - } - const int emit_from = psmd->psys->part->from; - if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { - return; - } - ParticleData *particle = &psys->particles[parent_index]; - int num = particle->num_dmcache; - if (num == DMCACHE_NOTFOUND || num == DMCACHE_ISCHILD) { - if (particle->num < psmd->mesh_final->totface) { - num = particle->num; - } - } - if (num != DMCACHE_NOTFOUND && num != DMCACHE_ISCHILD) { - MFace *mface = &psmd->mesh_final->mface[num]; - for (int j = 0; j < num_uv_layers; j++) { - psys_interpolate_uvs( - mtfaces[j] + num, - mface->v4, - particle->fuv, - r_uv[j]); - } - } + if (psmd == NULL) { + return; + } + const int emit_from = psmd->psys->part->from; + if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { + return; + } + ParticleData *particle = &psys->particles[parent_index]; + int num = particle->num_dmcache; + if (num == DMCACHE_NOTFOUND || num == DMCACHE_ISCHILD) { + if (particle->num < psmd->mesh_final->totface) { + num = particle->num; + } + } + if (num != DMCACHE_NOTFOUND && num != DMCACHE_ISCHILD) { + MFace *mface = &psmd->mesh_final->mface[num]; + for (int j = 0; j < num_uv_layers; j++) { + psys_interpolate_uvs(mtfaces[j] + num, mface->v4, particle->fuv, r_uv[j]); + } + } } -static void particle_calculate_parent_mcol( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const int num_uv_layers, - const int parent_index, - /*const*/ MCol **mcols, - MCol *r_mcol) +static void particle_calculate_parent_mcol(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const int num_uv_layers, + const int parent_index, + /*const*/ MCol **mcols, + MCol *r_mcol) { - if (psmd == NULL) { - return; - } - const int emit_from = psmd->psys->part->from; - if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { - return; - } - ParticleData *particle = &psys->particles[parent_index]; - int num = particle->num_dmcache; - if (num == DMCACHE_NOTFOUND || num == DMCACHE_ISCHILD) { - if (particle->num < psmd->mesh_final->totface) { - num = particle->num; - } - } - if (num != DMCACHE_NOTFOUND && num != DMCACHE_ISCHILD) { - MFace *mface = &psmd->mesh_final->mface[num]; - for (int j = 0; j < num_uv_layers; j++) { - psys_interpolate_mcol( - mcols[j] + num, - mface->v4, - particle->fuv, - &r_mcol[j]); - } - } + if (psmd == NULL) { + return; + } + const int emit_from = psmd->psys->part->from; + if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { + return; + } + ParticleData *particle = &psys->particles[parent_index]; + int num = particle->num_dmcache; + if (num == DMCACHE_NOTFOUND || num == DMCACHE_ISCHILD) { + if (particle->num < psmd->mesh_final->totface) { + num = particle->num; + } + } + if (num != DMCACHE_NOTFOUND && num != DMCACHE_ISCHILD) { + MFace *mface = &psmd->mesh_final->mface[num]; + for (int j = 0; j < num_uv_layers; j++) { + psys_interpolate_mcol(mcols[j] + num, mface->v4, particle->fuv, &r_mcol[j]); + } + } } /* Used by interpolated children. */ -static void particle_interpolate_children_uvs( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const int num_uv_layers, - const int child_index, - /*const*/ MTFace **mtfaces, - float (*r_uv)[2]) +static void particle_interpolate_children_uvs(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const int num_uv_layers, + const int child_index, + /*const*/ MTFace **mtfaces, + float (*r_uv)[2]) { - if (psmd == NULL) { - return; - } - const int emit_from = psmd->psys->part->from; - if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { - return; - } - ChildParticle *particle = &psys->child[child_index]; - int num = particle->num; - if (num != DMCACHE_NOTFOUND) { - MFace *mface = &psmd->mesh_final->mface[num]; - for (int j = 0; j < num_uv_layers; j++) { - psys_interpolate_uvs( - mtfaces[j] + num, - mface->v4, - particle->fuv, - r_uv[j]); - } - } + if (psmd == NULL) { + return; + } + const int emit_from = psmd->psys->part->from; + if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { + return; + } + ChildParticle *particle = &psys->child[child_index]; + int num = particle->num; + if (num != DMCACHE_NOTFOUND) { + MFace *mface = &psmd->mesh_final->mface[num]; + for (int j = 0; j < num_uv_layers; j++) { + psys_interpolate_uvs(mtfaces[j] + num, mface->v4, particle->fuv, r_uv[j]); + } + } } -static void particle_interpolate_children_mcol( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const int num_col_layers, - const int child_index, - /*const*/ MCol **mcols, - MCol *r_mcol) +static void particle_interpolate_children_mcol(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const int num_col_layers, + const int child_index, + /*const*/ MCol **mcols, + MCol *r_mcol) { - if (psmd == NULL) { - return; - } - const int emit_from = psmd->psys->part->from; - if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { - return; - } - ChildParticle *particle = &psys->child[child_index]; - int num = particle->num; - if (num != DMCACHE_NOTFOUND) { - MFace *mface = &psmd->mesh_final->mface[num]; - for (int j = 0; j < num_col_layers; j++) { - psys_interpolate_mcol( - mcols[j] + num, - mface->v4, - particle->fuv, - &r_mcol[j]); - } - } + if (psmd == NULL) { + return; + } + const int emit_from = psmd->psys->part->from; + if (!ELEM(emit_from, PART_FROM_FACE, PART_FROM_VOLUME)) { + return; + } + ChildParticle *particle = &psys->child[child_index]; + int num = particle->num; + if (num != DMCACHE_NOTFOUND) { + MFace *mface = &psmd->mesh_final->mface[num]; + for (int j = 0; j < num_col_layers; j++) { + psys_interpolate_mcol(mcols[j] + num, mface->v4, particle->fuv, &r_mcol[j]); + } + } } -static void particle_calculate_uvs( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const bool is_simple, - const int num_uv_layers, - const int parent_index, - const int child_index, - /*const*/ MTFace **mtfaces, - float (**r_parent_uvs)[2], - float (**r_uv)[2]) +static void particle_calculate_uvs(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const bool is_simple, + const int num_uv_layers, + const int parent_index, + const int child_index, + /*const*/ MTFace **mtfaces, + float (**r_parent_uvs)[2], + float (**r_uv)[2]) { - if (psmd == NULL) { - return; - } - if (is_simple) { - if (r_parent_uvs[parent_index] != NULL) { - *r_uv = r_parent_uvs[parent_index]; - } - else { - *r_uv = MEM_callocN(sizeof(**r_uv) * num_uv_layers, "Particle UVs"); - } - } - else { - *r_uv = MEM_callocN(sizeof(**r_uv) * num_uv_layers, "Particle UVs"); - } - if (child_index == -1) { - /* Calculate UVs for parent particles. */ - if (is_simple) { - r_parent_uvs[parent_index] = *r_uv; - } - particle_calculate_parent_uvs( - psys, psmd, num_uv_layers, parent_index, mtfaces, *r_uv); - } - else { - /* Calculate UVs for child particles. */ - if (!is_simple) { - particle_interpolate_children_uvs( - psys, psmd, num_uv_layers, child_index, mtfaces, *r_uv); - } - else if (!r_parent_uvs[psys->child[child_index].parent]) { - r_parent_uvs[psys->child[child_index].parent] = *r_uv; - particle_calculate_parent_uvs( - psys, psmd, num_uv_layers, parent_index, mtfaces, *r_uv); - } - } + if (psmd == NULL) { + return; + } + if (is_simple) { + if (r_parent_uvs[parent_index] != NULL) { + *r_uv = r_parent_uvs[parent_index]; + } + else { + *r_uv = MEM_callocN(sizeof(**r_uv) * num_uv_layers, "Particle UVs"); + } + } + else { + *r_uv = MEM_callocN(sizeof(**r_uv) * num_uv_layers, "Particle UVs"); + } + if (child_index == -1) { + /* Calculate UVs for parent particles. */ + if (is_simple) { + r_parent_uvs[parent_index] = *r_uv; + } + particle_calculate_parent_uvs(psys, psmd, num_uv_layers, parent_index, mtfaces, *r_uv); + } + else { + /* Calculate UVs for child particles. */ + if (!is_simple) { + particle_interpolate_children_uvs(psys, psmd, num_uv_layers, child_index, mtfaces, *r_uv); + } + else if (!r_parent_uvs[psys->child[child_index].parent]) { + r_parent_uvs[psys->child[child_index].parent] = *r_uv; + particle_calculate_parent_uvs(psys, psmd, num_uv_layers, parent_index, mtfaces, *r_uv); + } + } } -static void particle_calculate_mcol( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - const bool is_simple, - const int num_col_layers, - const int parent_index, - const int child_index, - /*const*/ MCol **mcols, - MCol **r_parent_mcol, - MCol **r_mcol) +static void particle_calculate_mcol(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + const bool is_simple, + const int num_col_layers, + const int parent_index, + const int child_index, + /*const*/ MCol **mcols, + MCol **r_parent_mcol, + MCol **r_mcol) { - if (psmd == NULL) { - return; - } - if (is_simple) { - if (r_parent_mcol[parent_index] != NULL) { - *r_mcol = r_parent_mcol[parent_index]; - } - else { - *r_mcol = MEM_callocN(sizeof(**r_mcol) * num_col_layers, "Particle MCol"); - } - } - else { - *r_mcol = MEM_callocN(sizeof(**r_mcol) * num_col_layers, "Particle MCol"); - } - if (child_index == -1) { - /* Calculate MCols for parent particles. */ - if (is_simple) { - r_parent_mcol[parent_index] = *r_mcol; - } - particle_calculate_parent_mcol( - psys, psmd, num_col_layers, parent_index, mcols, *r_mcol); - } - else { - /* Calculate MCols for child particles. */ - if (!is_simple) { - particle_interpolate_children_mcol( - psys, psmd, num_col_layers, child_index, mcols, *r_mcol); - } - else if (!r_parent_mcol[psys->child[child_index].parent]) { - r_parent_mcol[psys->child[child_index].parent] = *r_mcol; - particle_calculate_parent_mcol( - psys, psmd, num_col_layers, parent_index, mcols, *r_mcol); - } - } + if (psmd == NULL) { + return; + } + if (is_simple) { + if (r_parent_mcol[parent_index] != NULL) { + *r_mcol = r_parent_mcol[parent_index]; + } + else { + *r_mcol = MEM_callocN(sizeof(**r_mcol) * num_col_layers, "Particle MCol"); + } + } + else { + *r_mcol = MEM_callocN(sizeof(**r_mcol) * num_col_layers, "Particle MCol"); + } + if (child_index == -1) { + /* Calculate MCols for parent particles. */ + if (is_simple) { + r_parent_mcol[parent_index] = *r_mcol; + } + particle_calculate_parent_mcol(psys, psmd, num_col_layers, parent_index, mcols, *r_mcol); + } + else { + /* Calculate MCols for child particles. */ + if (!is_simple) { + particle_interpolate_children_mcol(psys, psmd, num_col_layers, child_index, mcols, *r_mcol); + } + else if (!r_parent_mcol[psys->child[child_index].parent]) { + r_parent_mcol[psys->child[child_index].parent] = *r_mcol; + particle_calculate_parent_mcol(psys, psmd, num_col_layers, parent_index, mcols, *r_mcol); + } + } } /* Will return last filled index. */ typedef enum ParticleSource { - PARTICLE_SOURCE_PARENT, - PARTICLE_SOURCE_CHILDREN, + PARTICLE_SOURCE_PARENT, + PARTICLE_SOURCE_CHILDREN, } ParticleSource; -static int particle_batch_cache_fill_segments( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - ParticleCacheKey **path_cache, - const ParticleSource particle_source, - const int global_offset, - const int start_index, - const int num_path_keys, - const int num_uv_layers, - const int num_col_layers, - /*const*/ MTFace **mtfaces, - /*const*/ MCol **mcols, - uint *uv_id, - uint *col_id, - float (***r_parent_uvs)[2], - MCol ***r_parent_mcol, - GPUIndexBufBuilder *elb, - HairAttributeID *attr_id, - ParticleHairCache *hair_cache) +static int particle_batch_cache_fill_segments(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + ParticleCacheKey **path_cache, + const ParticleSource particle_source, + const int global_offset, + const int start_index, + const int num_path_keys, + const int num_uv_layers, + const int num_col_layers, + /*const*/ MTFace **mtfaces, + /*const*/ MCol **mcols, + uint *uv_id, + uint *col_id, + float (***r_parent_uvs)[2], + MCol ***r_parent_mcol, + GPUIndexBufBuilder *elb, + HairAttributeID *attr_id, + ParticleHairCache *hair_cache) { - const bool is_simple = (psys->part->childtype == PART_CHILD_PARTICLES); - const bool is_child = (particle_source == PARTICLE_SOURCE_CHILDREN); - if (is_simple && *r_parent_uvs == NULL) { - /* TODO(sergey): For edit mode it should be edit->totcached. */ - *r_parent_uvs = MEM_callocN( - sizeof(*r_parent_uvs) * psys->totpart, - "Parent particle UVs"); - } - if (is_simple && *r_parent_mcol == NULL) { - *r_parent_mcol = MEM_callocN( - sizeof(*r_parent_mcol) * psys->totpart, - "Parent particle MCol"); - } - int curr_point = start_index; - for (int i = 0; i < num_path_keys; i++) { - ParticleCacheKey *path = path_cache[i]; - if (path->segments <= 0) { - continue; - } - float tangent[3]; - float (*uv)[2] = NULL; - MCol *mcol = NULL; - particle_calculate_mcol( - psys, psmd, - is_simple, num_col_layers, - is_child ? psys->child[i].parent : i, - is_child ? i : -1, - mcols, - *r_parent_mcol, &mcol); - particle_calculate_uvs( - psys, psmd, - is_simple, num_uv_layers, - is_child ? psys->child[i].parent : i, - is_child ? i : -1, - mtfaces, - *r_parent_uvs, &uv); - for (int j = 0; j < path->segments; j++) { - if (j == 0) { - sub_v3_v3v3(tangent, path[j + 1].co, path[j].co); - } - else { - sub_v3_v3v3(tangent, path[j + 1].co, path[j - 1].co); - } - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->pos, curr_point, path[j].co); - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->tan, curr_point, tangent); - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->ind, curr_point, &i); - if (psmd != NULL) { - for (int k = 0; k < num_uv_layers; k++) { - GPU_vertbuf_attr_set( - hair_cache->pos, uv_id[k], curr_point, - (is_simple && is_child) ? - (*r_parent_uvs)[psys->child[i].parent][k] : uv[k]); - } - for (int k = 0; k < num_col_layers; k++) { - /* TODO Put the conversion outside the loop */ - ushort scol[4]; - particle_pack_mcol( - (is_simple && is_child) ? - &(*r_parent_mcol)[psys->child[i].parent][k] : &mcol[k], - scol); - GPU_vertbuf_attr_set(hair_cache->pos, col_id[k], curr_point, scol); - } - } - GPU_indexbuf_add_generic_vert(elb, curr_point); - curr_point++; - } - sub_v3_v3v3(tangent, path[path->segments].co, path[path->segments - 1].co); - - int global_index = i + global_offset; - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->pos, curr_point, path[path->segments].co); - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->tan, curr_point, tangent); - GPU_vertbuf_attr_set(hair_cache->pos, attr_id->ind, curr_point, &global_index); - - if (psmd != NULL) { - for (int k = 0; k < num_uv_layers; k++) { - GPU_vertbuf_attr_set( - hair_cache->pos, uv_id[k], curr_point, - (is_simple && is_child) ? - (*r_parent_uvs)[psys->child[i].parent][k] : uv[k]); - } - for (int k = 0; k < num_col_layers; k++) { - /* TODO Put the conversion outside the loop */ - ushort scol[4]; - particle_pack_mcol( - (is_simple && is_child) ? - &(*r_parent_mcol)[psys->child[i].parent][k] : &mcol[k], - scol); - GPU_vertbuf_attr_set(hair_cache->pos, col_id[k], curr_point, scol); - } - if (!is_simple) { - MEM_freeN(uv); - MEM_freeN(mcol); - } - } - /* Finish the segment and add restart primitive. */ - GPU_indexbuf_add_generic_vert(elb, curr_point); - GPU_indexbuf_add_primitive_restart(elb); - curr_point++; - } - return curr_point; + const bool is_simple = (psys->part->childtype == PART_CHILD_PARTICLES); + const bool is_child = (particle_source == PARTICLE_SOURCE_CHILDREN); + if (is_simple && *r_parent_uvs == NULL) { + /* TODO(sergey): For edit mode it should be edit->totcached. */ + *r_parent_uvs = MEM_callocN(sizeof(*r_parent_uvs) * psys->totpart, "Parent particle UVs"); + } + if (is_simple && *r_parent_mcol == NULL) { + *r_parent_mcol = MEM_callocN(sizeof(*r_parent_mcol) * psys->totpart, "Parent particle MCol"); + } + int curr_point = start_index; + for (int i = 0; i < num_path_keys; i++) { + ParticleCacheKey *path = path_cache[i]; + if (path->segments <= 0) { + continue; + } + float tangent[3]; + float(*uv)[2] = NULL; + MCol *mcol = NULL; + particle_calculate_mcol(psys, + psmd, + is_simple, + num_col_layers, + is_child ? psys->child[i].parent : i, + is_child ? i : -1, + mcols, + *r_parent_mcol, + &mcol); + particle_calculate_uvs(psys, + psmd, + is_simple, + num_uv_layers, + is_child ? psys->child[i].parent : i, + is_child ? i : -1, + mtfaces, + *r_parent_uvs, + &uv); + for (int j = 0; j < path->segments; j++) { + if (j == 0) { + sub_v3_v3v3(tangent, path[j + 1].co, path[j].co); + } + else { + sub_v3_v3v3(tangent, path[j + 1].co, path[j - 1].co); + } + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->pos, curr_point, path[j].co); + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->tan, curr_point, tangent); + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->ind, curr_point, &i); + if (psmd != NULL) { + for (int k = 0; k < num_uv_layers; k++) { + GPU_vertbuf_attr_set( + hair_cache->pos, + uv_id[k], + curr_point, + (is_simple && is_child) ? (*r_parent_uvs)[psys->child[i].parent][k] : uv[k]); + } + for (int k = 0; k < num_col_layers; k++) { + /* TODO Put the conversion outside the loop */ + ushort scol[4]; + particle_pack_mcol( + (is_simple && is_child) ? &(*r_parent_mcol)[psys->child[i].parent][k] : &mcol[k], + scol); + GPU_vertbuf_attr_set(hair_cache->pos, col_id[k], curr_point, scol); + } + } + GPU_indexbuf_add_generic_vert(elb, curr_point); + curr_point++; + } + sub_v3_v3v3(tangent, path[path->segments].co, path[path->segments - 1].co); + + int global_index = i + global_offset; + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->pos, curr_point, path[path->segments].co); + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->tan, curr_point, tangent); + GPU_vertbuf_attr_set(hair_cache->pos, attr_id->ind, curr_point, &global_index); + + if (psmd != NULL) { + for (int k = 0; k < num_uv_layers; k++) { + GPU_vertbuf_attr_set(hair_cache->pos, + uv_id[k], + curr_point, + (is_simple && is_child) ? (*r_parent_uvs)[psys->child[i].parent][k] : + uv[k]); + } + for (int k = 0; k < num_col_layers; k++) { + /* TODO Put the conversion outside the loop */ + ushort scol[4]; + particle_pack_mcol((is_simple && is_child) ? &(*r_parent_mcol)[psys->child[i].parent][k] : + &mcol[k], + scol); + GPU_vertbuf_attr_set(hair_cache->pos, col_id[k], curr_point, scol); + } + if (!is_simple) { + MEM_freeN(uv); + MEM_freeN(mcol); + } + } + /* Finish the segment and add restart primitive. */ + GPU_indexbuf_add_generic_vert(elb, curr_point); + GPU_indexbuf_add_primitive_restart(elb); + curr_point++; + } + return curr_point; } -static void particle_batch_cache_fill_segments_proc_pos( - ParticleCacheKey **path_cache, - const int num_path_keys, - GPUVertBufRaw *attr_step) +static void particle_batch_cache_fill_segments_proc_pos(ParticleCacheKey **path_cache, + const int num_path_keys, + GPUVertBufRaw *attr_step) { - for (int i = 0; i < num_path_keys; i++) { - ParticleCacheKey *path = path_cache[i]; - if (path->segments <= 0) { - continue; - } - float total_len = 0.0f; - float *co_prev = NULL, *seg_data_first; - for (int j = 0; j <= path->segments; j++) { - float *seg_data = (float *)GPU_vertbuf_raw_step(attr_step); - copy_v3_v3(seg_data, path[j].co); - if (co_prev) { - total_len += len_v3v3(co_prev, path[j].co); - } - else { - seg_data_first = seg_data; - } - seg_data[3] = total_len; - co_prev = path[j].co; - } - if (total_len > 0.0f) { - /* Divide by total length to have a [0-1] number. */ - for (int j = 0; j <= path->segments; j++, seg_data_first += 4) { - seg_data_first[3] /= total_len; - } - } - } + for (int i = 0; i < num_path_keys; i++) { + ParticleCacheKey *path = path_cache[i]; + if (path->segments <= 0) { + continue; + } + float total_len = 0.0f; + float *co_prev = NULL, *seg_data_first; + for (int j = 0; j <= path->segments; j++) { + float *seg_data = (float *)GPU_vertbuf_raw_step(attr_step); + copy_v3_v3(seg_data, path[j].co); + if (co_prev) { + total_len += len_v3v3(co_prev, path[j].co); + } + else { + seg_data_first = seg_data; + } + seg_data[3] = total_len; + co_prev = path[j].co; + } + if (total_len > 0.0f) { + /* Divide by total length to have a [0-1] number. */ + for (int j = 0; j <= path->segments; j++, seg_data_first += 4) { + seg_data_first[3] /= total_len; + } + } + } } static float particle_key_select_ratio(const PTCacheEdit *edit, int strand, float t) { - const PTCacheEditPoint *point = &edit->points[strand]; - float edit_key_seg_t = 1.0f / (point->totkey - 1); - if (t == 1.0) { - return (point->keys[point->totkey - 1].flag & PEK_SELECT) ? 1.0f : 0.0; - } - else { - float interp = t / edit_key_seg_t; - int index = (int)interp; - interp -= floorf(interp); /* Time between 2 edit key */ - float s1 = (point->keys[index].flag & PEK_SELECT) ? 1.0f : 0.0; - float s2 = (point->keys[index + 1].flag & PEK_SELECT) ? 1.0f : 0.0; - return s1 + interp * (s2 - s1); - } + const PTCacheEditPoint *point = &edit->points[strand]; + float edit_key_seg_t = 1.0f / (point->totkey - 1); + if (t == 1.0) { + return (point->keys[point->totkey - 1].flag & PEK_SELECT) ? 1.0f : 0.0; + } + else { + float interp = t / edit_key_seg_t; + int index = (int)interp; + interp -= floorf(interp); /* Time between 2 edit key */ + float s1 = (point->keys[index].flag & PEK_SELECT) ? 1.0f : 0.0; + float s2 = (point->keys[index + 1].flag & PEK_SELECT) ? 1.0f : 0.0; + return s1 + interp * (s2 - s1); + } } static float particle_key_weight(const ParticleData *particle, int strand, float t) { - const ParticleData *part = particle + strand; - const HairKey *hkeys = part->hair; - float edit_key_seg_t = 1.0f / (part->totkey - 1); - if (t == 1.0) { - return hkeys[part->totkey - 1].weight; - } - else { - float interp = t / edit_key_seg_t; - int index = (int)interp; - interp -= floorf(interp); /* Time between 2 edit key */ - float s1 = hkeys[index].weight; - float s2 = hkeys[index + 1].weight; - return s1 + interp * (s2 - s1); - } + const ParticleData *part = particle + strand; + const HairKey *hkeys = part->hair; + float edit_key_seg_t = 1.0f / (part->totkey - 1); + if (t == 1.0) { + return hkeys[part->totkey - 1].weight; + } + else { + float interp = t / edit_key_seg_t; + int index = (int)interp; + interp -= floorf(interp); /* Time between 2 edit key */ + float s1 = hkeys[index].weight; + float s2 = hkeys[index + 1].weight; + return s1 + interp * (s2 - s1); + } } static int particle_batch_cache_fill_segments_edit( - const PTCacheEdit *edit, /* NULL for weight data */ - const ParticleData *particle, /* NULL for select data */ - ParticleCacheKey **path_cache, - const int start_index, - const int num_path_keys, - GPUIndexBufBuilder *elb, - GPUVertBufRaw *attr_step) + const PTCacheEdit *edit, /* NULL for weight data */ + const ParticleData *particle, /* NULL for select data */ + ParticleCacheKey **path_cache, + const int start_index, + const int num_path_keys, + GPUIndexBufBuilder *elb, + GPUVertBufRaw *attr_step) { - int curr_point = start_index; - for (int i = 0; i < num_path_keys; i++) { - ParticleCacheKey *path = path_cache[i]; - if (path->segments <= 0) { - continue; - } - for (int j = 0; j <= path->segments; j++) { - EditStrandData *seg_data = (EditStrandData *)GPU_vertbuf_raw_step(attr_step); - copy_v3_v3(seg_data->pos, path[j].co); - float strand_t = (float)(j) / path->segments; - if (particle) { - float weight = particle_key_weight(particle, i, strand_t); - /* NaN or unclamped become 0xFF */ - seg_data->color = (uchar)((weight <= 1.0f) ? 0xFE * weight : 0xFF); - } - else { - float selected = particle_key_select_ratio(edit, i, strand_t); - seg_data->color = (uchar)(0xFF * selected); - } - GPU_indexbuf_add_generic_vert(elb, curr_point); - curr_point++; - } - /* Finish the segment and add restart primitive. */ - GPU_indexbuf_add_primitive_restart(elb); - } - return curr_point; + int curr_point = start_index; + for (int i = 0; i < num_path_keys; i++) { + ParticleCacheKey *path = path_cache[i]; + if (path->segments <= 0) { + continue; + } + for (int j = 0; j <= path->segments; j++) { + EditStrandData *seg_data = (EditStrandData *)GPU_vertbuf_raw_step(attr_step); + copy_v3_v3(seg_data->pos, path[j].co); + float strand_t = (float)(j) / path->segments; + if (particle) { + float weight = particle_key_weight(particle, i, strand_t); + /* NaN or unclamped become 0xFF */ + seg_data->color = (uchar)((weight <= 1.0f) ? 0xFE * weight : 0xFF); + } + else { + float selected = particle_key_select_ratio(edit, i, strand_t); + seg_data->color = (uchar)(0xFF * selected); + } + GPU_indexbuf_add_generic_vert(elb, curr_point); + curr_point++; + } + /* Finish the segment and add restart primitive. */ + GPU_indexbuf_add_primitive_restart(elb); + } + return curr_point; } -static int particle_batch_cache_fill_segments_indices( - ParticleCacheKey **path_cache, - const int start_index, - const int num_path_keys, - const int res, - GPUIndexBufBuilder *elb) +static int particle_batch_cache_fill_segments_indices(ParticleCacheKey **path_cache, + const int start_index, + const int num_path_keys, + const int res, + GPUIndexBufBuilder *elb) { - int curr_point = start_index; - for (int i = 0; i < num_path_keys; i++) { - ParticleCacheKey *path = path_cache[i]; - if (path->segments <= 0) { - continue; - } - for (int k = 0; k < res; k++) { - GPU_indexbuf_add_generic_vert(elb, curr_point++); - } - GPU_indexbuf_add_primitive_restart(elb); - } - return curr_point; + int curr_point = start_index; + for (int i = 0; i < num_path_keys; i++) { + ParticleCacheKey *path = path_cache[i]; + if (path->segments <= 0) { + continue; + } + for (int k = 0; k < res; k++) { + GPU_indexbuf_add_generic_vert(elb, curr_point++); + } + GPU_indexbuf_add_primitive_restart(elb); + } + return curr_point; } -static int particle_batch_cache_fill_strands_data( - ParticleSystem *psys, - ParticleSystemModifierData *psmd, - ParticleCacheKey **path_cache, - const ParticleSource particle_source, - const int start_index, - const int num_path_keys, - GPUVertBufRaw *data_step, GPUVertBufRaw *seg_step, - float (***r_parent_uvs)[2], GPUVertBufRaw *uv_step, MTFace **mtfaces, int num_uv_layers, - MCol ***r_parent_mcol, GPUVertBufRaw *col_step, MCol **mcols, int num_col_layers) +static int particle_batch_cache_fill_strands_data(ParticleSystem *psys, + ParticleSystemModifierData *psmd, + ParticleCacheKey **path_cache, + const ParticleSource particle_source, + const int start_index, + const int num_path_keys, + GPUVertBufRaw *data_step, + GPUVertBufRaw *seg_step, + float (***r_parent_uvs)[2], + GPUVertBufRaw *uv_step, + MTFace **mtfaces, + int num_uv_layers, + MCol ***r_parent_mcol, + GPUVertBufRaw *col_step, + MCol **mcols, + int num_col_layers) { - const bool is_simple = (psys->part->childtype == PART_CHILD_PARTICLES); - const bool is_child = (particle_source == PARTICLE_SOURCE_CHILDREN); - if (is_simple && *r_parent_uvs == NULL) { - /* TODO(sergey): For edit mode it should be edit->totcached. */ - *r_parent_uvs = MEM_callocN( - sizeof(*r_parent_uvs) * psys->totpart, - "Parent particle UVs"); - } - if (is_simple && *r_parent_mcol == NULL) { - *r_parent_mcol = MEM_callocN( - sizeof(*r_parent_mcol) * psys->totpart, - "Parent particle MCol"); - } - int curr_point = start_index; - for (int i = 0; i < num_path_keys; i++) { - ParticleCacheKey *path = path_cache[i]; - if (path->segments <= 0) { - continue; - } - - *(uint *)GPU_vertbuf_raw_step(data_step) = curr_point; - *(ushort *)GPU_vertbuf_raw_step(seg_step) = path->segments; - curr_point += path->segments + 1; - - if (psmd != NULL) { - float (*uv)[2] = NULL; - MCol *mcol = NULL; - - particle_calculate_uvs( - psys, psmd, - is_simple, num_uv_layers, - is_child ? psys->child[i].parent : i, - is_child ? i : -1, - mtfaces, - *r_parent_uvs, &uv); - - particle_calculate_mcol( - psys, psmd, - is_simple, num_col_layers, - is_child ? psys->child[i].parent : i, - is_child ? i : -1, - mcols, - *r_parent_mcol, &mcol); - - for (int k = 0; k < num_uv_layers; k++) { - float *t_uv = (float *)GPU_vertbuf_raw_step(uv_step + k); - copy_v2_v2(t_uv, uv[k]); - } - for (int k = 0; k < num_col_layers; k++) { - ushort *scol = (ushort *)GPU_vertbuf_raw_step(col_step + k); - particle_pack_mcol( - (is_simple && is_child) ? - &(*r_parent_mcol)[psys->child[i].parent][k] : &mcol[k], - scol); - } - if (!is_simple) { - MEM_freeN(uv); - MEM_freeN(mcol); - } - } - } - return curr_point; + const bool is_simple = (psys->part->childtype == PART_CHILD_PARTICLES); + const bool is_child = (particle_source == PARTICLE_SOURCE_CHILDREN); + if (is_simple && *r_parent_uvs == NULL) { + /* TODO(sergey): For edit mode it should be edit->totcached. */ + *r_parent_uvs = MEM_callocN(sizeof(*r_parent_uvs) * psys->totpart, "Parent particle UVs"); + } + if (is_simple && *r_parent_mcol == NULL) { + *r_parent_mcol = MEM_callocN(sizeof(*r_parent_mcol) * psys->totpart, "Parent particle MCol"); + } + int curr_point = start_index; + for (int i = 0; i < num_path_keys; i++) { + ParticleCacheKey *path = path_cache[i]; + if (path->segments <= 0) { + continue; + } + + *(uint *)GPU_vertbuf_raw_step(data_step) = curr_point; + *(ushort *)GPU_vertbuf_raw_step(seg_step) = path->segments; + curr_point += path->segments + 1; + + if (psmd != NULL) { + float(*uv)[2] = NULL; + MCol *mcol = NULL; + + particle_calculate_uvs(psys, + psmd, + is_simple, + num_uv_layers, + is_child ? psys->child[i].parent : i, + is_child ? i : -1, + mtfaces, + *r_parent_uvs, + &uv); + + particle_calculate_mcol(psys, + psmd, + is_simple, + num_col_layers, + is_child ? psys->child[i].parent : i, + is_child ? i : -1, + mcols, + *r_parent_mcol, + &mcol); + + for (int k = 0; k < num_uv_layers; k++) { + float *t_uv = (float *)GPU_vertbuf_raw_step(uv_step + k); + copy_v2_v2(t_uv, uv[k]); + } + for (int k = 0; k < num_col_layers; k++) { + ushort *scol = (ushort *)GPU_vertbuf_raw_step(col_step + k); + particle_pack_mcol((is_simple && is_child) ? &(*r_parent_mcol)[psys->child[i].parent][k] : + &mcol[k], + scol); + } + if (!is_simple) { + MEM_freeN(uv); + MEM_freeN(mcol); + } + } + } + return curr_point; } -static void particle_batch_cache_ensure_procedural_final_points( - ParticleHairCache *cache, - int subdiv) +static void particle_batch_cache_ensure_procedural_final_points(ParticleHairCache *cache, + int subdiv) { - /* Same format as point_tex. */ - GPUVertFormat format = { 0 }; - GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + /* Same format as point_tex. */ + GPUVertFormat format = {0}; + GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - cache->final[subdiv].proc_buf = GPU_vertbuf_create_with_format(&format); + cache->final[subdiv].proc_buf = GPU_vertbuf_create_with_format(&format); - /* Create a destination buffer for the transform feedback. Sized appropriately */ - /* Those are points! not line segments. */ - GPU_vertbuf_data_alloc(cache->final[subdiv].proc_buf, cache->final[subdiv].strands_res * cache->strands_len); + /* Create a destination buffer for the transform feedback. Sized appropriately */ + /* Those are points! not line segments. */ + GPU_vertbuf_data_alloc(cache->final[subdiv].proc_buf, + cache->final[subdiv].strands_res * cache->strands_len); - /* Create vbo immediately to bind to texture buffer. */ - GPU_vertbuf_use(cache->final[subdiv].proc_buf); + /* Create vbo immediately to bind to texture buffer. */ + GPU_vertbuf_use(cache->final[subdiv].proc_buf); - cache->final[subdiv].proc_tex = GPU_texture_create_from_vertbuf(cache->final[subdiv].proc_buf); + cache->final[subdiv].proc_tex = GPU_texture_create_from_vertbuf(cache->final[subdiv].proc_buf); } -static void particle_batch_cache_ensure_procedural_strand_data( - PTCacheEdit *edit, - ParticleSystem *psys, - ModifierData *md, - ParticleHairCache *cache) +static void particle_batch_cache_ensure_procedural_strand_data(PTCacheEdit *edit, + ParticleSystem *psys, + ModifierData *md, + ParticleHairCache *cache) { - int active_uv = 0; - int active_col = 0; - - ParticleSystemModifierData *psmd = (ParticleSystemModifierData *)md; - - if (psmd != NULL && psmd->mesh_final != NULL) { - if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPUV)) { - cache->num_uv_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPUV); - active_uv = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPUV); - } - if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL)) { - cache->num_col_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPCOL); - active_col = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL); - } - } - - GPUVertBufRaw data_step, seg_step; - GPUVertBufRaw uv_step[MAX_MTFACE]; - GPUVertBufRaw col_step[MAX_MCOL]; - - MTFace *mtfaces[MAX_MTFACE] = {NULL}; - MCol *mcols[MAX_MCOL] = {NULL}; - float (**parent_uvs)[2] = NULL; - MCol **parent_mcol = NULL; - - GPUVertFormat format_data = {0}; - uint data_id = GPU_vertformat_attr_add(&format_data, "data", GPU_COMP_U32, 1, GPU_FETCH_INT); - - GPUVertFormat format_seg = {0}; - uint seg_id = GPU_vertformat_attr_add(&format_seg, "data", GPU_COMP_U16, 1, GPU_FETCH_INT); - - GPUVertFormat format_uv = {0}; - uint uv_id = GPU_vertformat_attr_add(&format_uv, "uv", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - GPUVertFormat format_col = {0}; - uint col_id = GPU_vertformat_attr_add(&format_col, "col", GPU_COMP_U16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); - - memset(cache->uv_layer_names, 0, sizeof(cache->uv_layer_names)); - memset(cache->col_layer_names, 0, sizeof(cache->col_layer_names)); - - /* Strand Data */ - cache->proc_strand_buf = GPU_vertbuf_create_with_format(&format_data); - GPU_vertbuf_data_alloc(cache->proc_strand_buf, cache->strands_len); - GPU_vertbuf_attr_get_raw_data(cache->proc_strand_buf, data_id, &data_step); - - cache->proc_strand_seg_buf = GPU_vertbuf_create_with_format(&format_seg); - GPU_vertbuf_data_alloc(cache->proc_strand_seg_buf, cache->strands_len); - GPU_vertbuf_attr_get_raw_data(cache->proc_strand_seg_buf, seg_id, &seg_step); - - /* UV layers */ - for (int i = 0; i < cache->num_uv_layers; i++) { - cache->proc_uv_buf[i] = GPU_vertbuf_create_with_format(&format_uv); - GPU_vertbuf_data_alloc(cache->proc_uv_buf[i], cache->strands_len); - GPU_vertbuf_attr_get_raw_data(cache->proc_uv_buf[i], uv_id, &uv_step[i]); - - const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); - uint hash = BLI_ghashutil_strhash_p(name); - int n = 0; - BLI_snprintf(cache->uv_layer_names[i][n++], MAX_LAYER_NAME_LEN, "u%u", hash); - BLI_snprintf(cache->uv_layer_names[i][n++], MAX_LAYER_NAME_LEN, "a%u", hash); - - if (i == active_uv) { - BLI_strncpy(cache->uv_layer_names[i][n], "u", MAX_LAYER_NAME_LEN); - } - } - /* Vertex colors */ - for (int i = 0; i < cache->num_col_layers; i++) { - cache->proc_col_buf[i] = GPU_vertbuf_create_with_format(&format_col); - GPU_vertbuf_data_alloc(cache->proc_col_buf[i], cache->strands_len); - GPU_vertbuf_attr_get_raw_data(cache->proc_col_buf[i], col_id, &col_step[i]); - - const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPCOL, i); - uint hash = BLI_ghashutil_strhash_p(name); - int n = 0; - BLI_snprintf(cache->col_layer_names[i][n++], MAX_LAYER_NAME_LEN, "c%u", hash); - - /* We only do vcols auto name that are not overridden by uvs */ - if (CustomData_get_named_layer_index(&psmd->mesh_final->ldata, CD_MLOOPUV, name) == -1) { - BLI_snprintf(cache->col_layer_names[i][n++], MAX_LAYER_NAME_LEN, "a%u", hash); - } - - if (i == active_col) { - BLI_strncpy(cache->col_layer_names[i][n], "c", MAX_LAYER_NAME_LEN); - } - } - - if (cache->num_uv_layers || cache->num_col_layers) { - BKE_mesh_tessface_ensure(psmd->mesh_final); - if (cache->num_uv_layers) { - for (int j = 0; j < cache->num_uv_layers; j++) { - mtfaces[j] = (MTFace *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MTFACE, j); - } - } - if (cache->num_col_layers) { - for (int j = 0; j < cache->num_col_layers; j++) { - mcols[j] = (MCol *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MCOL, j); - } - } - } - - if (edit != NULL && edit->pathcache != NULL) { - particle_batch_cache_fill_strands_data( - psys, psmd, edit->pathcache, PARTICLE_SOURCE_PARENT, - 0, edit->totcached, - &data_step, &seg_step, - &parent_uvs, uv_step, (MTFace **)mtfaces, cache->num_uv_layers, - &parent_mcol, col_step, (MCol **)mcols, cache->num_col_layers); - } - else { - int curr_point = 0; - if ((psys->pathcache != NULL) && - (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) - { - curr_point = particle_batch_cache_fill_strands_data( - psys, psmd, psys->pathcache, PARTICLE_SOURCE_PARENT, - 0, psys->totpart, - &data_step, &seg_step, - &parent_uvs, uv_step, (MTFace **)mtfaces, cache->num_uv_layers, - &parent_mcol, col_step, (MCol **)mcols, cache->num_col_layers); - } - if (psys->childcache) { - const int child_count = psys->totchild * psys->part->disp / 100; - curr_point = particle_batch_cache_fill_strands_data( - psys, psmd, psys->childcache, PARTICLE_SOURCE_CHILDREN, - curr_point, child_count, - &data_step, &seg_step, - &parent_uvs, uv_step, (MTFace **)mtfaces, cache->num_uv_layers, - &parent_mcol, col_step, (MCol **)mcols, cache->num_col_layers); - } - } - /* Cleanup. */ - if (parent_uvs != NULL) { - /* TODO(sergey): For edit mode it should be edit->totcached. */ - for (int i = 0; i < psys->totpart; i++) { - MEM_SAFE_FREE(parent_uvs[i]); - } - MEM_freeN(parent_uvs); - } - if (parent_mcol != NULL) { - for (int i = 0; i < psys->totpart; i++) { - MEM_SAFE_FREE(parent_mcol[i]); - } - MEM_freeN(parent_mcol); - } - - /* Create vbo immediately to bind to texture buffer. */ - GPU_vertbuf_use(cache->proc_strand_buf); - cache->strand_tex = GPU_texture_create_from_vertbuf(cache->proc_strand_buf); - - GPU_vertbuf_use(cache->proc_strand_seg_buf); - cache->strand_seg_tex = GPU_texture_create_from_vertbuf(cache->proc_strand_seg_buf); - - for (int i = 0; i < cache->num_uv_layers; i++) { - GPU_vertbuf_use(cache->proc_uv_buf[i]); - cache->uv_tex[i] = GPU_texture_create_from_vertbuf(cache->proc_uv_buf[i]); - } - for (int i = 0; i < cache->num_col_layers; i++) { - GPU_vertbuf_use(cache->proc_col_buf[i]); - cache->col_tex[i] = GPU_texture_create_from_vertbuf(cache->proc_col_buf[i]); - } + int active_uv = 0; + int active_col = 0; + + ParticleSystemModifierData *psmd = (ParticleSystemModifierData *)md; + + if (psmd != NULL && psmd->mesh_final != NULL) { + if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPUV)) { + cache->num_uv_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPUV); + active_uv = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPUV); + } + if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL)) { + cache->num_col_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPCOL); + active_col = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL); + } + } + + GPUVertBufRaw data_step, seg_step; + GPUVertBufRaw uv_step[MAX_MTFACE]; + GPUVertBufRaw col_step[MAX_MCOL]; + + MTFace *mtfaces[MAX_MTFACE] = {NULL}; + MCol *mcols[MAX_MCOL] = {NULL}; + float(**parent_uvs)[2] = NULL; + MCol **parent_mcol = NULL; + + GPUVertFormat format_data = {0}; + uint data_id = GPU_vertformat_attr_add(&format_data, "data", GPU_COMP_U32, 1, GPU_FETCH_INT); + + GPUVertFormat format_seg = {0}; + uint seg_id = GPU_vertformat_attr_add(&format_seg, "data", GPU_COMP_U16, 1, GPU_FETCH_INT); + + GPUVertFormat format_uv = {0}; + uint uv_id = GPU_vertformat_attr_add(&format_uv, "uv", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + GPUVertFormat format_col = {0}; + uint col_id = GPU_vertformat_attr_add( + &format_col, "col", GPU_COMP_U16, 4, GPU_FETCH_INT_TO_FLOAT_UNIT); + + memset(cache->uv_layer_names, 0, sizeof(cache->uv_layer_names)); + memset(cache->col_layer_names, 0, sizeof(cache->col_layer_names)); + + /* Strand Data */ + cache->proc_strand_buf = GPU_vertbuf_create_with_format(&format_data); + GPU_vertbuf_data_alloc(cache->proc_strand_buf, cache->strands_len); + GPU_vertbuf_attr_get_raw_data(cache->proc_strand_buf, data_id, &data_step); + + cache->proc_strand_seg_buf = GPU_vertbuf_create_with_format(&format_seg); + GPU_vertbuf_data_alloc(cache->proc_strand_seg_buf, cache->strands_len); + GPU_vertbuf_attr_get_raw_data(cache->proc_strand_seg_buf, seg_id, &seg_step); + + /* UV layers */ + for (int i = 0; i < cache->num_uv_layers; i++) { + cache->proc_uv_buf[i] = GPU_vertbuf_create_with_format(&format_uv); + GPU_vertbuf_data_alloc(cache->proc_uv_buf[i], cache->strands_len); + GPU_vertbuf_attr_get_raw_data(cache->proc_uv_buf[i], uv_id, &uv_step[i]); + + const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); + uint hash = BLI_ghashutil_strhash_p(name); + int n = 0; + BLI_snprintf(cache->uv_layer_names[i][n++], MAX_LAYER_NAME_LEN, "u%u", hash); + BLI_snprintf(cache->uv_layer_names[i][n++], MAX_LAYER_NAME_LEN, "a%u", hash); + + if (i == active_uv) { + BLI_strncpy(cache->uv_layer_names[i][n], "u", MAX_LAYER_NAME_LEN); + } + } + /* Vertex colors */ + for (int i = 0; i < cache->num_col_layers; i++) { + cache->proc_col_buf[i] = GPU_vertbuf_create_with_format(&format_col); + GPU_vertbuf_data_alloc(cache->proc_col_buf[i], cache->strands_len); + GPU_vertbuf_attr_get_raw_data(cache->proc_col_buf[i], col_id, &col_step[i]); + + const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPCOL, i); + uint hash = BLI_ghashutil_strhash_p(name); + int n = 0; + BLI_snprintf(cache->col_layer_names[i][n++], MAX_LAYER_NAME_LEN, "c%u", hash); + + /* We only do vcols auto name that are not overridden by uvs */ + if (CustomData_get_named_layer_index(&psmd->mesh_final->ldata, CD_MLOOPUV, name) == -1) { + BLI_snprintf(cache->col_layer_names[i][n++], MAX_LAYER_NAME_LEN, "a%u", hash); + } + + if (i == active_col) { + BLI_strncpy(cache->col_layer_names[i][n], "c", MAX_LAYER_NAME_LEN); + } + } + + if (cache->num_uv_layers || cache->num_col_layers) { + BKE_mesh_tessface_ensure(psmd->mesh_final); + if (cache->num_uv_layers) { + for (int j = 0; j < cache->num_uv_layers; j++) { + mtfaces[j] = (MTFace *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MTFACE, j); + } + } + if (cache->num_col_layers) { + for (int j = 0; j < cache->num_col_layers; j++) { + mcols[j] = (MCol *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MCOL, j); + } + } + } + + if (edit != NULL && edit->pathcache != NULL) { + particle_batch_cache_fill_strands_data(psys, + psmd, + edit->pathcache, + PARTICLE_SOURCE_PARENT, + 0, + edit->totcached, + &data_step, + &seg_step, + &parent_uvs, + uv_step, + (MTFace **)mtfaces, + cache->num_uv_layers, + &parent_mcol, + col_step, + (MCol **)mcols, + cache->num_col_layers); + } + else { + int curr_point = 0; + if ((psys->pathcache != NULL) && + (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) { + curr_point = particle_batch_cache_fill_strands_data(psys, + psmd, + psys->pathcache, + PARTICLE_SOURCE_PARENT, + 0, + psys->totpart, + &data_step, + &seg_step, + &parent_uvs, + uv_step, + (MTFace **)mtfaces, + cache->num_uv_layers, + &parent_mcol, + col_step, + (MCol **)mcols, + cache->num_col_layers); + } + if (psys->childcache) { + const int child_count = psys->totchild * psys->part->disp / 100; + curr_point = particle_batch_cache_fill_strands_data(psys, + psmd, + psys->childcache, + PARTICLE_SOURCE_CHILDREN, + curr_point, + child_count, + &data_step, + &seg_step, + &parent_uvs, + uv_step, + (MTFace **)mtfaces, + cache->num_uv_layers, + &parent_mcol, + col_step, + (MCol **)mcols, + cache->num_col_layers); + } + } + /* Cleanup. */ + if (parent_uvs != NULL) { + /* TODO(sergey): For edit mode it should be edit->totcached. */ + for (int i = 0; i < psys->totpart; i++) { + MEM_SAFE_FREE(parent_uvs[i]); + } + MEM_freeN(parent_uvs); + } + if (parent_mcol != NULL) { + for (int i = 0; i < psys->totpart; i++) { + MEM_SAFE_FREE(parent_mcol[i]); + } + MEM_freeN(parent_mcol); + } + + /* Create vbo immediately to bind to texture buffer. */ + GPU_vertbuf_use(cache->proc_strand_buf); + cache->strand_tex = GPU_texture_create_from_vertbuf(cache->proc_strand_buf); + + GPU_vertbuf_use(cache->proc_strand_seg_buf); + cache->strand_seg_tex = GPU_texture_create_from_vertbuf(cache->proc_strand_seg_buf); + + for (int i = 0; i < cache->num_uv_layers; i++) { + GPU_vertbuf_use(cache->proc_uv_buf[i]); + cache->uv_tex[i] = GPU_texture_create_from_vertbuf(cache->proc_uv_buf[i]); + } + for (int i = 0; i < cache->num_col_layers; i++) { + GPU_vertbuf_use(cache->proc_col_buf[i]); + cache->col_tex[i] = GPU_texture_create_from_vertbuf(cache->proc_col_buf[i]); + } } -static void particle_batch_cache_ensure_procedural_indices( - PTCacheEdit *edit, - ParticleSystem *psys, - ParticleHairCache *cache, - int thickness_res, - int subdiv) +static void particle_batch_cache_ensure_procedural_indices(PTCacheEdit *edit, + ParticleSystem *psys, + ParticleHairCache *cache, + int thickness_res, + int subdiv) { - BLI_assert(thickness_res <= MAX_THICKRES); /* Cylinder strip not currently supported. */ - - if (cache->final[subdiv].proc_hairs[thickness_res - 1] != NULL) { - return; - } - - int verts_per_hair = cache->final[subdiv].strands_res * thickness_res; - /* +1 for primitive restart */ - int element_count = (verts_per_hair + 1) * cache->strands_len; - GPUPrimType prim_type = (thickness_res == 1) ? GPU_PRIM_LINE_STRIP : GPU_PRIM_TRI_STRIP; - - static GPUVertFormat format = { 0 }; - GPU_vertformat_clear(&format); - - /* initialize vertex format */ - GPU_vertformat_attr_add(&format, "dummy", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); - - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, 1); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex(&elb, prim_type, element_count, element_count, true); - - if (edit != NULL && edit->pathcache != NULL) { - particle_batch_cache_fill_segments_indices( - edit->pathcache, 0, edit->totcached, verts_per_hair, &elb); - } - else { - int curr_point = 0; - if ((psys->pathcache != NULL) && - (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) - { - curr_point = particle_batch_cache_fill_segments_indices( - psys->pathcache, 0, psys->totpart, verts_per_hair, &elb); - } - if (psys->childcache) { - const int child_count = psys->totchild * psys->part->disp / 100; - curr_point = particle_batch_cache_fill_segments_indices( - psys->childcache, curr_point, child_count, verts_per_hair, &elb); - } - } - - cache->final[subdiv].proc_hairs[thickness_res - 1] = GPU_batch_create_ex( - prim_type, - vbo, - GPU_indexbuf_build(&elb), - GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); + BLI_assert(thickness_res <= MAX_THICKRES); /* Cylinder strip not currently supported. */ + + if (cache->final[subdiv].proc_hairs[thickness_res - 1] != NULL) { + return; + } + + int verts_per_hair = cache->final[subdiv].strands_res * thickness_res; + /* +1 for primitive restart */ + int element_count = (verts_per_hair + 1) * cache->strands_len; + GPUPrimType prim_type = (thickness_res == 1) ? GPU_PRIM_LINE_STRIP : GPU_PRIM_TRI_STRIP; + + static GPUVertFormat format = {0}; + GPU_vertformat_clear(&format); + + /* initialize vertex format */ + GPU_vertformat_attr_add(&format, "dummy", GPU_COMP_U8, 1, GPU_FETCH_INT_TO_FLOAT_UNIT); + + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, 1); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex(&elb, prim_type, element_count, element_count, true); + + if (edit != NULL && edit->pathcache != NULL) { + particle_batch_cache_fill_segments_indices( + edit->pathcache, 0, edit->totcached, verts_per_hair, &elb); + } + else { + int curr_point = 0; + if ((psys->pathcache != NULL) && + (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) { + curr_point = particle_batch_cache_fill_segments_indices( + psys->pathcache, 0, psys->totpart, verts_per_hair, &elb); + } + if (psys->childcache) { + const int child_count = psys->totchild * psys->part->disp / 100; + curr_point = particle_batch_cache_fill_segments_indices( + psys->childcache, curr_point, child_count, verts_per_hair, &elb); + } + } + + cache->final[subdiv].proc_hairs[thickness_res - 1] = GPU_batch_create_ex( + prim_type, vbo, GPU_indexbuf_build(&elb), GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); } -static void particle_batch_cache_ensure_procedural_pos( - PTCacheEdit *edit, - ParticleSystem *psys, - ParticleHairCache *cache) +static void particle_batch_cache_ensure_procedural_pos(PTCacheEdit *edit, + ParticleSystem *psys, + ParticleHairCache *cache) { - if (cache->proc_point_buf != NULL) { - return; - } - - /* initialize vertex format */ - GPUVertFormat format = {0}; - uint pos_id = GPU_vertformat_attr_add(&format, "posTime", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - - cache->proc_point_buf = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(cache->proc_point_buf, cache->point_len); - - GPUVertBufRaw pos_step; - GPU_vertbuf_attr_get_raw_data(cache->proc_point_buf, pos_id, &pos_step); - - if (edit != NULL && edit->pathcache != NULL) { - particle_batch_cache_fill_segments_proc_pos( - edit->pathcache, - edit->totcached, - &pos_step); - } - else { - if ((psys->pathcache != NULL) && - (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) - { - particle_batch_cache_fill_segments_proc_pos( - psys->pathcache, - psys->totpart, - &pos_step); - } - if (psys->childcache) { - const int child_count = psys->totchild * psys->part->disp / 100; - particle_batch_cache_fill_segments_proc_pos( - psys->childcache, - child_count, - &pos_step); - } - } - - /* Create vbo immediately to bind to texture buffer. */ - GPU_vertbuf_use(cache->proc_point_buf); - - cache->point_tex = GPU_texture_create_from_vertbuf(cache->proc_point_buf); + if (cache->proc_point_buf != NULL) { + return; + } + + /* initialize vertex format */ + GPUVertFormat format = {0}; + uint pos_id = GPU_vertformat_attr_add(&format, "posTime", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + + cache->proc_point_buf = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(cache->proc_point_buf, cache->point_len); + + GPUVertBufRaw pos_step; + GPU_vertbuf_attr_get_raw_data(cache->proc_point_buf, pos_id, &pos_step); + + if (edit != NULL && edit->pathcache != NULL) { + particle_batch_cache_fill_segments_proc_pos(edit->pathcache, edit->totcached, &pos_step); + } + else { + if ((psys->pathcache != NULL) && + (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) { + particle_batch_cache_fill_segments_proc_pos(psys->pathcache, psys->totpart, &pos_step); + } + if (psys->childcache) { + const int child_count = psys->totchild * psys->part->disp / 100; + particle_batch_cache_fill_segments_proc_pos(psys->childcache, child_count, &pos_step); + } + } + + /* Create vbo immediately to bind to texture buffer. */ + GPU_vertbuf_use(cache->proc_point_buf); + + cache->point_tex = GPU_texture_create_from_vertbuf(cache->proc_point_buf); } -static void particle_batch_cache_ensure_pos_and_seg( - PTCacheEdit *edit, - ParticleSystem *psys, - ModifierData *md, - ParticleHairCache *hair_cache) +static void particle_batch_cache_ensure_pos_and_seg(PTCacheEdit *edit, + ParticleSystem *psys, + ModifierData *md, + ParticleHairCache *hair_cache) { - if (hair_cache->pos != NULL && hair_cache->indices != NULL) { - return; - } - - int curr_point = 0; - ParticleSystemModifierData *psmd = (ParticleSystemModifierData *)md; - - GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); - GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); - - static GPUVertFormat format = { 0 }; - HairAttributeID attr_id; - uint *uv_id = NULL; - uint *col_id = NULL; - int num_uv_layers = 0; - int num_col_layers = 0; - int active_uv = 0; - int active_col = 0; - MTFace **mtfaces = NULL; - MCol **mcols = NULL; - float (**parent_uvs)[2] = NULL; - MCol **parent_mcol = NULL; - - if (psmd != NULL) { - if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPUV)) { - num_uv_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPUV); - active_uv = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPUV); - } - if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL)) { - num_col_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPCOL); - active_col = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL); - } - } - - GPU_vertformat_clear(&format); - - /* initialize vertex format */ - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.tan = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - attr_id.ind = GPU_vertformat_attr_add(&format, "ind", GPU_COMP_I32, 1, GPU_FETCH_INT); - - if (psmd) { - uv_id = MEM_mallocN(sizeof(*uv_id) * num_uv_layers, "UV attr format"); - col_id = MEM_mallocN(sizeof(*col_id) * num_col_layers, "Col attr format"); - - for (int i = 0; i < num_uv_layers; i++) { - const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); - char uuid[32]; - - BLI_snprintf(uuid, sizeof(uuid), "u%u", BLI_ghashutil_strhash_p(name)); - uv_id[i] = GPU_vertformat_attr_add(&format, uuid, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - if (i == active_uv) { - GPU_vertformat_alias_add(&format, "u"); - } - } - - for (int i = 0; i < num_uv_layers; i++) { - const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); - char uuid[32]; - - BLI_snprintf(uuid, sizeof(uuid), "c%u", BLI_ghashutil_strhash_p(name)); - col_id[i] = GPU_vertformat_attr_add(&format, uuid, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - if (i == active_col) { - GPU_vertformat_alias_add(&format, "c"); - } - } - } - - hair_cache->pos = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(hair_cache->pos, hair_cache->point_len); - - GPUIndexBufBuilder elb; - GPU_indexbuf_init_ex( - &elb, - GPU_PRIM_LINE_STRIP, - hair_cache->elems_len, hair_cache->point_len, - true); - - if (num_uv_layers || num_col_layers) { - BKE_mesh_tessface_ensure(psmd->mesh_final); - if (num_uv_layers) { - mtfaces = MEM_mallocN(sizeof(*mtfaces) * num_uv_layers, "Faces UV layers"); - for (int i = 0; i < num_uv_layers; i++) { - mtfaces[i] = (MTFace *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MTFACE, i); - } - } - if (num_col_layers) { - mcols = MEM_mallocN(sizeof(*mcols) * num_col_layers, "Color layers"); - for (int i = 0; i < num_col_layers; i++) { - mcols[i] = (MCol *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MCOL, i); - } - } - } - - if (edit != NULL && edit->pathcache != NULL) { - curr_point = particle_batch_cache_fill_segments( - psys, psmd, edit->pathcache, PARTICLE_SOURCE_PARENT, - 0, 0, edit->totcached, - num_uv_layers, num_col_layers, mtfaces, mcols, uv_id, col_id, &parent_uvs, &parent_mcol, - &elb, &attr_id, hair_cache); - } - else { - if ((psys->pathcache != NULL) && - (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) - { - curr_point = particle_batch_cache_fill_segments( - psys, psmd, psys->pathcache, PARTICLE_SOURCE_PARENT, - 0, 0, psys->totpart, - num_uv_layers, num_col_layers, mtfaces, mcols, uv_id, col_id, &parent_uvs, &parent_mcol, - &elb, &attr_id, hair_cache); - } - if (psys->childcache != NULL) { - const int child_count = psys->totchild * psys->part->disp / 100; - curr_point = particle_batch_cache_fill_segments( - psys, psmd, psys->childcache, PARTICLE_SOURCE_CHILDREN, - psys->totpart, curr_point, child_count, - num_uv_layers, num_col_layers, mtfaces, mcols, uv_id, col_id, &parent_uvs, &parent_mcol, - &elb, &attr_id, hair_cache); - } - } - /* Cleanup. */ - if (parent_uvs != NULL) { - /* TODO(sergey): For edit mode it should be edit->totcached. */ - for (int i = 0; i < psys->totpart; i++) { - MEM_SAFE_FREE(parent_uvs[i]); - } - MEM_freeN(parent_uvs); - } - if (parent_mcol != NULL) { - for (int i = 0; i < psys->totpart; i++) { - MEM_SAFE_FREE(parent_mcol[i]); - } - MEM_freeN(parent_mcol); - } - if (num_uv_layers) { - MEM_freeN(mtfaces); - } - if (num_col_layers) { - MEM_freeN(mcols); - } - if (psmd != NULL) { - MEM_freeN(uv_id); - } - hair_cache->indices = GPU_indexbuf_build(&elb); + if (hair_cache->pos != NULL && hair_cache->indices != NULL) { + return; + } + + int curr_point = 0; + ParticleSystemModifierData *psmd = (ParticleSystemModifierData *)md; + + GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); + GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); + + static GPUVertFormat format = {0}; + HairAttributeID attr_id; + uint *uv_id = NULL; + uint *col_id = NULL; + int num_uv_layers = 0; + int num_col_layers = 0; + int active_uv = 0; + int active_col = 0; + MTFace **mtfaces = NULL; + MCol **mcols = NULL; + float(**parent_uvs)[2] = NULL; + MCol **parent_mcol = NULL; + + if (psmd != NULL) { + if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPUV)) { + num_uv_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPUV); + active_uv = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPUV); + } + if (CustomData_has_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL)) { + num_col_layers = CustomData_number_of_layers(&psmd->mesh_final->ldata, CD_MLOOPCOL); + active_col = CustomData_get_active_layer(&psmd->mesh_final->ldata, CD_MLOOPCOL); + } + } + + GPU_vertformat_clear(&format); + + /* initialize vertex format */ + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.tan = GPU_vertformat_attr_add(&format, "nor", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + attr_id.ind = GPU_vertformat_attr_add(&format, "ind", GPU_COMP_I32, 1, GPU_FETCH_INT); + + if (psmd) { + uv_id = MEM_mallocN(sizeof(*uv_id) * num_uv_layers, "UV attr format"); + col_id = MEM_mallocN(sizeof(*col_id) * num_col_layers, "Col attr format"); + + for (int i = 0; i < num_uv_layers; i++) { + const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); + char uuid[32]; + + BLI_snprintf(uuid, sizeof(uuid), "u%u", BLI_ghashutil_strhash_p(name)); + uv_id[i] = GPU_vertformat_attr_add(&format, uuid, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + if (i == active_uv) { + GPU_vertformat_alias_add(&format, "u"); + } + } + + for (int i = 0; i < num_uv_layers; i++) { + const char *name = CustomData_get_layer_name(&psmd->mesh_final->ldata, CD_MLOOPUV, i); + char uuid[32]; + + BLI_snprintf(uuid, sizeof(uuid), "c%u", BLI_ghashutil_strhash_p(name)); + col_id[i] = GPU_vertformat_attr_add(&format, uuid, GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + if (i == active_col) { + GPU_vertformat_alias_add(&format, "c"); + } + } + } + + hair_cache->pos = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(hair_cache->pos, hair_cache->point_len); + + GPUIndexBufBuilder elb; + GPU_indexbuf_init_ex( + &elb, GPU_PRIM_LINE_STRIP, hair_cache->elems_len, hair_cache->point_len, true); + + if (num_uv_layers || num_col_layers) { + BKE_mesh_tessface_ensure(psmd->mesh_final); + if (num_uv_layers) { + mtfaces = MEM_mallocN(sizeof(*mtfaces) * num_uv_layers, "Faces UV layers"); + for (int i = 0; i < num_uv_layers; i++) { + mtfaces[i] = (MTFace *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MTFACE, i); + } + } + if (num_col_layers) { + mcols = MEM_mallocN(sizeof(*mcols) * num_col_layers, "Color layers"); + for (int i = 0; i < num_col_layers; i++) { + mcols[i] = (MCol *)CustomData_get_layer_n(&psmd->mesh_final->fdata, CD_MCOL, i); + } + } + } + + if (edit != NULL && edit->pathcache != NULL) { + curr_point = particle_batch_cache_fill_segments(psys, + psmd, + edit->pathcache, + PARTICLE_SOURCE_PARENT, + 0, + 0, + edit->totcached, + num_uv_layers, + num_col_layers, + mtfaces, + mcols, + uv_id, + col_id, + &parent_uvs, + &parent_mcol, + &elb, + &attr_id, + hair_cache); + } + else { + if ((psys->pathcache != NULL) && + (!psys->childcache || (psys->part->draw & PART_DRAW_PARENT))) { + curr_point = particle_batch_cache_fill_segments(psys, + psmd, + psys->pathcache, + PARTICLE_SOURCE_PARENT, + 0, + 0, + psys->totpart, + num_uv_layers, + num_col_layers, + mtfaces, + mcols, + uv_id, + col_id, + &parent_uvs, + &parent_mcol, + &elb, + &attr_id, + hair_cache); + } + if (psys->childcache != NULL) { + const int child_count = psys->totchild * psys->part->disp / 100; + curr_point = particle_batch_cache_fill_segments(psys, + psmd, + psys->childcache, + PARTICLE_SOURCE_CHILDREN, + psys->totpart, + curr_point, + child_count, + num_uv_layers, + num_col_layers, + mtfaces, + mcols, + uv_id, + col_id, + &parent_uvs, + &parent_mcol, + &elb, + &attr_id, + hair_cache); + } + } + /* Cleanup. */ + if (parent_uvs != NULL) { + /* TODO(sergey): For edit mode it should be edit->totcached. */ + for (int i = 0; i < psys->totpart; i++) { + MEM_SAFE_FREE(parent_uvs[i]); + } + MEM_freeN(parent_uvs); + } + if (parent_mcol != NULL) { + for (int i = 0; i < psys->totpart; i++) { + MEM_SAFE_FREE(parent_mcol[i]); + } + MEM_freeN(parent_mcol); + } + if (num_uv_layers) { + MEM_freeN(mtfaces); + } + if (num_col_layers) { + MEM_freeN(mcols); + } + if (psmd != NULL) { + MEM_freeN(uv_id); + } + hair_cache->indices = GPU_indexbuf_build(&elb); } -static void particle_batch_cache_ensure_pos( - Object *object, - ParticleSystem *psys, - ParticlePointCache *point_cache) +static void particle_batch_cache_ensure_pos(Object *object, + ParticleSystem *psys, + ParticlePointCache *point_cache) { - if (point_cache->pos != NULL) { - return; - } - - static GPUVertFormat format = { 0 }; - static uint pos_id, rot_id, val_id; - int i, curr_point; - ParticleData *pa; - ParticleKey state; - ParticleSimulationData sim = {NULL}; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - sim.depsgraph = draw_ctx->depsgraph; - sim.scene = draw_ctx->scene; - sim.ob = object; - sim.psys = psys; - sim.psmd = psys_get_modifier(object, psys); - sim.psys->lattice_deform_data = psys_create_lattice_deform_data(&sim); - - if (psys->part->phystype == PART_PHYS_KEYED) { - if (psys->flag & PSYS_KEYED) { - psys_count_keyed_targets(&sim); - if (psys->totkeyed == 0) { - return; - } - } - } - - GPU_VERTBUF_DISCARD_SAFE(point_cache->pos); - - if (format.attr_len == 0) { - /* initialize vertex format */ - pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - rot_id = GPU_vertformat_attr_add(&format, "rot", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - val_id = GPU_vertformat_attr_add(&format, "val", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - } - - point_cache->pos = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(point_cache->pos, psys->totpart); - - for (curr_point = 0, i = 0, pa = psys->particles; i < psys->totpart; i++, pa++) { - state.time = DEG_get_ctime(draw_ctx->depsgraph); - if (!psys_get_particle_state(&sim, i, &state, 0)) { - continue; - } - - float val; - - GPU_vertbuf_attr_set(point_cache->pos, pos_id, curr_point, state.co); - GPU_vertbuf_attr_set(point_cache->pos, rot_id, curr_point, state.rot); - - switch (psys->part->draw_col) { - case PART_DRAW_COL_VEL: - val = len_v3(state.vel) / psys->part->color_vec_max; - break; - case PART_DRAW_COL_ACC: - val = len_v3v3( - state.vel, - pa->prev_state.vel) / ((state.time - pa->prev_state.time) * psys->part->color_vec_max); - break; - default: - val = -1.0f; - break; - } - - GPU_vertbuf_attr_set(point_cache->pos, val_id, curr_point, &val); - - curr_point++; - } - - if (curr_point != psys->totpart) { - GPU_vertbuf_data_resize(point_cache->pos, curr_point); - } + if (point_cache->pos != NULL) { + return; + } + + static GPUVertFormat format = {0}; + static uint pos_id, rot_id, val_id; + int i, curr_point; + ParticleData *pa; + ParticleKey state; + ParticleSimulationData sim = {NULL}; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + sim.depsgraph = draw_ctx->depsgraph; + sim.scene = draw_ctx->scene; + sim.ob = object; + sim.psys = psys; + sim.psmd = psys_get_modifier(object, psys); + sim.psys->lattice_deform_data = psys_create_lattice_deform_data(&sim); + + if (psys->part->phystype == PART_PHYS_KEYED) { + if (psys->flag & PSYS_KEYED) { + psys_count_keyed_targets(&sim); + if (psys->totkeyed == 0) { + return; + } + } + } + + GPU_VERTBUF_DISCARD_SAFE(point_cache->pos); + + if (format.attr_len == 0) { + /* initialize vertex format */ + pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + rot_id = GPU_vertformat_attr_add(&format, "rot", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + val_id = GPU_vertformat_attr_add(&format, "val", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + } + + point_cache->pos = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(point_cache->pos, psys->totpart); + + for (curr_point = 0, i = 0, pa = psys->particles; i < psys->totpart; i++, pa++) { + state.time = DEG_get_ctime(draw_ctx->depsgraph); + if (!psys_get_particle_state(&sim, i, &state, 0)) { + continue; + } + + float val; + + GPU_vertbuf_attr_set(point_cache->pos, pos_id, curr_point, state.co); + GPU_vertbuf_attr_set(point_cache->pos, rot_id, curr_point, state.rot); + + switch (psys->part->draw_col) { + case PART_DRAW_COL_VEL: + val = len_v3(state.vel) / psys->part->color_vec_max; + break; + case PART_DRAW_COL_ACC: + val = len_v3v3(state.vel, pa->prev_state.vel) / + ((state.time - pa->prev_state.time) * psys->part->color_vec_max); + break; + default: + val = -1.0f; + break; + } + + GPU_vertbuf_attr_set(point_cache->pos, val_id, curr_point, &val); + + curr_point++; + } + + if (curr_point != psys->totpart) { + GPU_vertbuf_data_resize(point_cache->pos, curr_point); + } } -static void drw_particle_update_ptcache_edit( - Object *object_eval, - ParticleSystem *psys, - PTCacheEdit *edit) +static void drw_particle_update_ptcache_edit(Object *object_eval, + ParticleSystem *psys, + PTCacheEdit *edit) { - if (edit->psys == NULL) { - return; - } - /* NOTE: Get flag from particle system coming from drawing object. - * this is where depsgraph will be setting flags to. - */ - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); - Object *object_orig = DEG_get_original_object(object_eval); - if (psys->flag & PSYS_HAIR_UPDATED) { - PE_update_object(draw_ctx->depsgraph, scene_orig, object_orig, 0); - psys->flag &= ~PSYS_HAIR_UPDATED; - } - if (edit->pathcache == NULL) { - Depsgraph *depsgraph = draw_ctx->depsgraph; - psys_cache_edit_paths( - depsgraph, - scene_orig, object_orig, - edit, - DEG_get_ctime(depsgraph), - DEG_get_mode(depsgraph) == DAG_EVAL_RENDER); - } + if (edit->psys == NULL) { + return; + } + /* NOTE: Get flag from particle system coming from drawing object. + * this is where depsgraph will be setting flags to. + */ + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); + Object *object_orig = DEG_get_original_object(object_eval); + if (psys->flag & PSYS_HAIR_UPDATED) { + PE_update_object(draw_ctx->depsgraph, scene_orig, object_orig, 0); + psys->flag &= ~PSYS_HAIR_UPDATED; + } + if (edit->pathcache == NULL) { + Depsgraph *depsgraph = draw_ctx->depsgraph; + psys_cache_edit_paths(depsgraph, + scene_orig, + object_orig, + edit, + DEG_get_ctime(depsgraph), + DEG_get_mode(depsgraph) == DAG_EVAL_RENDER); + } } -static void drw_particle_update_ptcache( - Object *object_eval, - ParticleSystem *psys) +static void drw_particle_update_ptcache(Object *object_eval, ParticleSystem *psys) { - if ((object_eval->mode & OB_MODE_PARTICLE_EDIT) == 0) { - return; - } - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); - Object *object_orig = DEG_get_original_object(object_eval); - PTCacheEdit *edit = PE_create_current( - draw_ctx->depsgraph, scene_orig, object_orig); - if (edit != NULL) { - drw_particle_update_ptcache_edit(object_eval, psys, edit); - } + if ((object_eval->mode & OB_MODE_PARTICLE_EDIT) == 0) { + return; + } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); + Object *object_orig = DEG_get_original_object(object_eval); + PTCacheEdit *edit = PE_create_current(draw_ctx->depsgraph, scene_orig, object_orig); + if (edit != NULL) { + drw_particle_update_ptcache_edit(object_eval, psys, edit); + } } typedef struct ParticleDrawSource { - Object *object; - ParticleSystem *psys; - ModifierData *md; - PTCacheEdit *edit; + Object *object; + ParticleSystem *psys; + ModifierData *md; + PTCacheEdit *edit; } ParticleDrawSource; -static void drw_particle_get_hair_source( - Object *object, - ParticleSystem *psys, - ModifierData *md, - PTCacheEdit *edit, - ParticleDrawSource *r_draw_source) +static void drw_particle_get_hair_source(Object *object, + ParticleSystem *psys, + ModifierData *md, + PTCacheEdit *edit, + ParticleDrawSource *r_draw_source) { - r_draw_source->object = object; - r_draw_source->psys = psys; - r_draw_source->md = md; - r_draw_source->edit = edit; - if ((object->mode & OB_MODE_PARTICLE_EDIT) != 0) { - r_draw_source->object = DEG_get_original_object(object); - r_draw_source->psys = psys_orig_get(psys); - } + r_draw_source->object = object; + r_draw_source->psys = psys; + r_draw_source->md = md; + r_draw_source->edit = edit; + if ((object->mode & OB_MODE_PARTICLE_EDIT) != 0) { + r_draw_source->object = DEG_get_original_object(object); + r_draw_source->psys = psys_orig_get(psys); + } } -GPUBatch *DRW_particles_batch_cache_get_hair( - Object *object, - ParticleSystem *psys, - ModifierData *md) +GPUBatch *DRW_particles_batch_cache_get_hair(Object *object, + ParticleSystem *psys, + ModifierData *md) { - ParticleBatchCache *cache = particle_batch_cache_get(psys); - if (cache->hair.hairs == NULL) { - drw_particle_update_ptcache(object, psys); - ParticleDrawSource source; - drw_particle_get_hair_source(object, psys, md, NULL, &source); - ensure_seg_pt_count(source.edit, source.psys, &cache->hair); - particle_batch_cache_ensure_pos_and_seg(source.edit, source.psys, source.md, &cache->hair); - cache->hair.hairs = GPU_batch_create( - GPU_PRIM_LINE_STRIP, - cache->hair.pos, - cache->hair.indices); - } - return cache->hair.hairs; + ParticleBatchCache *cache = particle_batch_cache_get(psys); + if (cache->hair.hairs == NULL) { + drw_particle_update_ptcache(object, psys); + ParticleDrawSource source; + drw_particle_get_hair_source(object, psys, md, NULL, &source); + ensure_seg_pt_count(source.edit, source.psys, &cache->hair); + particle_batch_cache_ensure_pos_and_seg(source.edit, source.psys, source.md, &cache->hair); + cache->hair.hairs = GPU_batch_create( + GPU_PRIM_LINE_STRIP, cache->hair.pos, cache->hair.indices); + } + return cache->hair.hairs; } GPUBatch *DRW_particles_batch_cache_get_dots(Object *object, ParticleSystem *psys) { - ParticleBatchCache *cache = particle_batch_cache_get(psys); + ParticleBatchCache *cache = particle_batch_cache_get(psys); - if (cache->point.points == NULL) { - particle_batch_cache_ensure_pos(object, psys, &cache->point); - cache->point.points = GPU_batch_create(GPU_PRIM_POINTS, cache->point.pos, NULL); - } + if (cache->point.points == NULL) { + particle_batch_cache_ensure_pos(object, psys, &cache->point); + cache->point.points = GPU_batch_create(GPU_PRIM_POINTS, cache->point.pos, NULL); + } - return cache->point.points; + return cache->point.points; } -static void particle_batch_cache_ensure_edit_pos_and_seg( - PTCacheEdit *edit, - ParticleSystem *psys, - ModifierData *UNUSED(md), - ParticleHairCache *hair_cache, - bool use_weight) +static void particle_batch_cache_ensure_edit_pos_and_seg(PTCacheEdit *edit, + ParticleSystem *psys, + ModifierData *UNUSED(md), + ParticleHairCache *hair_cache, + bool use_weight) { - if (hair_cache->pos != NULL && hair_cache->indices != NULL) { - return; - } - - ParticleData *particle = (use_weight) ? psys->particles : NULL; - - GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); - GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); - - GPUVertBufRaw data_step; - GPUIndexBufBuilder elb; - uint pos_id, color_id; - GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); - - hair_cache->pos = GPU_vertbuf_create_with_format(edit_point_format); - GPU_vertbuf_data_alloc(hair_cache->pos, hair_cache->point_len); - GPU_vertbuf_attr_get_raw_data(hair_cache->pos, pos_id, &data_step); - - GPU_indexbuf_init_ex( - &elb, - GPU_PRIM_LINE_STRIP, - hair_cache->elems_len, hair_cache->point_len, - true); - - if (edit != NULL && edit->pathcache != NULL) { - particle_batch_cache_fill_segments_edit( - edit, particle, edit->pathcache, - 0, edit->totcached, - &elb, &data_step); - } - else { - BLI_assert(!"Hairs are not in edit mode!"); - } - hair_cache->indices = GPU_indexbuf_build(&elb); + if (hair_cache->pos != NULL && hair_cache->indices != NULL) { + return; + } + + ParticleData *particle = (use_weight) ? psys->particles : NULL; + + GPU_VERTBUF_DISCARD_SAFE(hair_cache->pos); + GPU_INDEXBUF_DISCARD_SAFE(hair_cache->indices); + + GPUVertBufRaw data_step; + GPUIndexBufBuilder elb; + uint pos_id, color_id; + GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); + + hair_cache->pos = GPU_vertbuf_create_with_format(edit_point_format); + GPU_vertbuf_data_alloc(hair_cache->pos, hair_cache->point_len); + GPU_vertbuf_attr_get_raw_data(hair_cache->pos, pos_id, &data_step); + + GPU_indexbuf_init_ex( + &elb, GPU_PRIM_LINE_STRIP, hair_cache->elems_len, hair_cache->point_len, true); + + if (edit != NULL && edit->pathcache != NULL) { + particle_batch_cache_fill_segments_edit( + edit, particle, edit->pathcache, 0, edit->totcached, &elb, &data_step); + } + else { + BLI_assert(!"Hairs are not in edit mode!"); + } + hair_cache->indices = GPU_indexbuf_build(&elb); } -GPUBatch *DRW_particles_batch_cache_get_edit_strands( - Object *object, - ParticleSystem *psys, - PTCacheEdit *edit, - bool use_weight) +GPUBatch *DRW_particles_batch_cache_get_edit_strands(Object *object, + ParticleSystem *psys, + PTCacheEdit *edit, + bool use_weight) { - ParticleBatchCache *cache = particle_batch_cache_get(psys); - if (cache->edit_is_weight != use_weight) { - GPU_VERTBUF_DISCARD_SAFE(cache->edit_hair.pos); - GPU_BATCH_DISCARD_SAFE(cache->edit_hair.hairs); - } - if (cache->edit_hair.hairs != NULL) { - return cache->edit_hair.hairs; - } - drw_particle_update_ptcache_edit(object, psys, edit); - ensure_seg_pt_count(edit, psys, &cache->edit_hair); - particle_batch_cache_ensure_edit_pos_and_seg(edit, psys, NULL, &cache->edit_hair, use_weight); - cache->edit_hair.hairs = GPU_batch_create( - GPU_PRIM_LINE_STRIP, - cache->edit_hair.pos, - cache->edit_hair.indices); - cache->edit_is_weight = use_weight; - return cache->edit_hair.hairs; + ParticleBatchCache *cache = particle_batch_cache_get(psys); + if (cache->edit_is_weight != use_weight) { + GPU_VERTBUF_DISCARD_SAFE(cache->edit_hair.pos); + GPU_BATCH_DISCARD_SAFE(cache->edit_hair.hairs); + } + if (cache->edit_hair.hairs != NULL) { + return cache->edit_hair.hairs; + } + drw_particle_update_ptcache_edit(object, psys, edit); + ensure_seg_pt_count(edit, psys, &cache->edit_hair); + particle_batch_cache_ensure_edit_pos_and_seg(edit, psys, NULL, &cache->edit_hair, use_weight); + cache->edit_hair.hairs = GPU_batch_create( + GPU_PRIM_LINE_STRIP, cache->edit_hair.pos, cache->edit_hair.indices); + cache->edit_is_weight = use_weight; + return cache->edit_hair.hairs; } -static void ensure_edit_inner_points_count( - const PTCacheEdit *edit, - ParticleBatchCache *cache) +static void ensure_edit_inner_points_count(const PTCacheEdit *edit, ParticleBatchCache *cache) { - if (cache->edit_inner_pos != NULL) { - return; - } - cache->edit_inner_point_len = 0; - for (int point_index = 0; point_index < edit->totpoint; point_index++) { - const PTCacheEditPoint *point = &edit->points[point_index]; - BLI_assert(point->totkey >= 1); - cache->edit_inner_point_len += (point->totkey - 1); - } + if (cache->edit_inner_pos != NULL) { + return; + } + cache->edit_inner_point_len = 0; + for (int point_index = 0; point_index < edit->totpoint; point_index++) { + const PTCacheEditPoint *point = &edit->points[point_index]; + BLI_assert(point->totkey >= 1); + cache->edit_inner_point_len += (point->totkey - 1); + } } -static void particle_batch_cache_ensure_edit_inner_pos( - PTCacheEdit *edit, - ParticleBatchCache *cache) +static void particle_batch_cache_ensure_edit_inner_pos(PTCacheEdit *edit, + ParticleBatchCache *cache) { - if (cache->edit_inner_pos != NULL) { - return; - } - - uint pos_id, color_id; - GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); - - cache->edit_inner_pos = GPU_vertbuf_create_with_format(edit_point_format); - GPU_vertbuf_data_alloc(cache->edit_inner_pos, cache->edit_inner_point_len); - - int global_key_index = 0; - for (int point_index = 0; point_index < edit->totpoint; point_index++) { - const PTCacheEditPoint *point = &edit->points[point_index]; - for (int key_index = 0; key_index < point->totkey - 1; key_index++) { - PTCacheEditKey *key = &point->keys[key_index]; - uchar color = (key->flag & PEK_SELECT) ? 0xFF : 0x00; - GPU_vertbuf_attr_set(cache->edit_inner_pos, pos_id, global_key_index, key->world_co); - GPU_vertbuf_attr_set(cache->edit_inner_pos, color_id, global_key_index, &color); - global_key_index++; - } - } + if (cache->edit_inner_pos != NULL) { + return; + } + + uint pos_id, color_id; + GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); + + cache->edit_inner_pos = GPU_vertbuf_create_with_format(edit_point_format); + GPU_vertbuf_data_alloc(cache->edit_inner_pos, cache->edit_inner_point_len); + + int global_key_index = 0; + for (int point_index = 0; point_index < edit->totpoint; point_index++) { + const PTCacheEditPoint *point = &edit->points[point_index]; + for (int key_index = 0; key_index < point->totkey - 1; key_index++) { + PTCacheEditKey *key = &point->keys[key_index]; + uchar color = (key->flag & PEK_SELECT) ? 0xFF : 0x00; + GPU_vertbuf_attr_set(cache->edit_inner_pos, pos_id, global_key_index, key->world_co); + GPU_vertbuf_attr_set(cache->edit_inner_pos, color_id, global_key_index, &color); + global_key_index++; + } + } } -GPUBatch *DRW_particles_batch_cache_get_edit_inner_points( - Object *object, - ParticleSystem *psys, - PTCacheEdit *edit) +GPUBatch *DRW_particles_batch_cache_get_edit_inner_points(Object *object, + ParticleSystem *psys, + PTCacheEdit *edit) { - ParticleBatchCache *cache = particle_batch_cache_get(psys); - if (cache->edit_inner_points != NULL) { - return cache->edit_inner_points; - } - drw_particle_update_ptcache_edit(object, psys, edit); - ensure_edit_inner_points_count(edit, cache); - particle_batch_cache_ensure_edit_inner_pos(edit, cache); - cache->edit_inner_points = GPU_batch_create( - GPU_PRIM_POINTS, - cache->edit_inner_pos, - NULL); - return cache->edit_inner_points; + ParticleBatchCache *cache = particle_batch_cache_get(psys); + if (cache->edit_inner_points != NULL) { + return cache->edit_inner_points; + } + drw_particle_update_ptcache_edit(object, psys, edit); + ensure_edit_inner_points_count(edit, cache); + particle_batch_cache_ensure_edit_inner_pos(edit, cache); + cache->edit_inner_points = GPU_batch_create(GPU_PRIM_POINTS, cache->edit_inner_pos, NULL); + return cache->edit_inner_points; } -static void ensure_edit_tip_points_count( - const PTCacheEdit *edit, - ParticleBatchCache *cache) +static void ensure_edit_tip_points_count(const PTCacheEdit *edit, ParticleBatchCache *cache) { - if (cache->edit_tip_pos != NULL) { - return; - } - cache->edit_tip_point_len = edit->totpoint; + if (cache->edit_tip_pos != NULL) { + return; + } + cache->edit_tip_point_len = edit->totpoint; } -static void particle_batch_cache_ensure_edit_tip_pos( - PTCacheEdit *edit, - ParticleBatchCache *cache) +static void particle_batch_cache_ensure_edit_tip_pos(PTCacheEdit *edit, ParticleBatchCache *cache) { - if (cache->edit_tip_pos != NULL) { - return; - } - - uint pos_id, color_id; - GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); - - cache->edit_tip_pos = GPU_vertbuf_create_with_format(edit_point_format); - GPU_vertbuf_data_alloc(cache->edit_tip_pos, cache->edit_tip_point_len); - - for (int point_index = 0; point_index < edit->totpoint; point_index++) { - const PTCacheEditPoint *point = &edit->points[point_index]; - PTCacheEditKey *key = &point->keys[point->totkey - 1]; - uchar color = (key->flag & PEK_SELECT) ? 0xFF : 0x00; - GPU_vertbuf_attr_set(cache->edit_tip_pos, pos_id, point_index, key->world_co); - GPU_vertbuf_attr_set(cache->edit_tip_pos, color_id, point_index, &color); - } + if (cache->edit_tip_pos != NULL) { + return; + } + + uint pos_id, color_id; + GPUVertFormat *edit_point_format = edit_points_vert_format_get(&pos_id, &color_id); + + cache->edit_tip_pos = GPU_vertbuf_create_with_format(edit_point_format); + GPU_vertbuf_data_alloc(cache->edit_tip_pos, cache->edit_tip_point_len); + + for (int point_index = 0; point_index < edit->totpoint; point_index++) { + const PTCacheEditPoint *point = &edit->points[point_index]; + PTCacheEditKey *key = &point->keys[point->totkey - 1]; + uchar color = (key->flag & PEK_SELECT) ? 0xFF : 0x00; + GPU_vertbuf_attr_set(cache->edit_tip_pos, pos_id, point_index, key->world_co); + GPU_vertbuf_attr_set(cache->edit_tip_pos, color_id, point_index, &color); + } } -GPUBatch *DRW_particles_batch_cache_get_edit_tip_points( - Object *object, - ParticleSystem *psys, - PTCacheEdit *edit) +GPUBatch *DRW_particles_batch_cache_get_edit_tip_points(Object *object, + ParticleSystem *psys, + PTCacheEdit *edit) { - ParticleBatchCache *cache = particle_batch_cache_get(psys); - if (cache->edit_tip_points != NULL) { - return cache->edit_tip_points; - } - drw_particle_update_ptcache_edit(object, psys, edit); - ensure_edit_tip_points_count(edit, cache); - particle_batch_cache_ensure_edit_tip_pos(edit, cache); - cache->edit_tip_points = GPU_batch_create( - GPU_PRIM_POINTS, - cache->edit_tip_pos, - NULL); - return cache->edit_tip_points; + ParticleBatchCache *cache = particle_batch_cache_get(psys); + if (cache->edit_tip_points != NULL) { + return cache->edit_tip_points; + } + drw_particle_update_ptcache_edit(object, psys, edit); + ensure_edit_tip_points_count(edit, cache); + particle_batch_cache_ensure_edit_tip_pos(edit, cache); + cache->edit_tip_points = GPU_batch_create(GPU_PRIM_POINTS, cache->edit_tip_pos, NULL); + return cache->edit_tip_points; } /* Ensure all textures and buffers needed for GPU accelerated drawing. */ -bool particles_ensure_procedural_data( - Object *object, - ParticleSystem *psys, - ModifierData *md, - ParticleHairCache **r_hair_cache, - int subdiv, - int thickness_res) +bool particles_ensure_procedural_data(Object *object, + ParticleSystem *psys, + ModifierData *md, + ParticleHairCache **r_hair_cache, + int subdiv, + int thickness_res) { - bool need_ft_update = false; - - drw_particle_update_ptcache(object, psys); - - ParticleDrawSource source; - drw_particle_get_hair_source(object, psys, md, NULL, &source); - - ParticleSettings *part = source.psys->part; - ParticleBatchCache *cache = particle_batch_cache_get(source.psys); - *r_hair_cache = &cache->hair; - - (*r_hair_cache)->final[subdiv].strands_res = 1 << (part->draw_step + subdiv); - - /* Refreshed on combing and simulation. */ - if ((*r_hair_cache)->proc_point_buf == NULL) { - ensure_seg_pt_count(source.edit, source.psys, &cache->hair); - particle_batch_cache_ensure_procedural_pos(source.edit, source.psys, &cache->hair); - need_ft_update = true; - } - - /* Refreshed if active layer or custom data changes. */ - if ((*r_hair_cache)->strand_tex == NULL) { - particle_batch_cache_ensure_procedural_strand_data(source.edit, source.psys, source.md, &cache->hair); - } - - /* Refreshed only on subdiv count change. */ - if ((*r_hair_cache)->final[subdiv].proc_buf == NULL) { - particle_batch_cache_ensure_procedural_final_points(&cache->hair, subdiv); - need_ft_update = true; - } - if ((*r_hair_cache)->final[subdiv].proc_hairs[thickness_res - 1] == NULL) { - particle_batch_cache_ensure_procedural_indices(source.edit, source.psys, &cache->hair, thickness_res, subdiv); - } - - return need_ft_update; + bool need_ft_update = false; + + drw_particle_update_ptcache(object, psys); + + ParticleDrawSource source; + drw_particle_get_hair_source(object, psys, md, NULL, &source); + + ParticleSettings *part = source.psys->part; + ParticleBatchCache *cache = particle_batch_cache_get(source.psys); + *r_hair_cache = &cache->hair; + + (*r_hair_cache)->final[subdiv].strands_res = 1 << (part->draw_step + subdiv); + + /* Refreshed on combing and simulation. */ + if ((*r_hair_cache)->proc_point_buf == NULL) { + ensure_seg_pt_count(source.edit, source.psys, &cache->hair); + particle_batch_cache_ensure_procedural_pos(source.edit, source.psys, &cache->hair); + need_ft_update = true; + } + + /* Refreshed if active layer or custom data changes. */ + if ((*r_hair_cache)->strand_tex == NULL) { + particle_batch_cache_ensure_procedural_strand_data( + source.edit, source.psys, source.md, &cache->hair); + } + + /* Refreshed only on subdiv count change. */ + if ((*r_hair_cache)->final[subdiv].proc_buf == NULL) { + particle_batch_cache_ensure_procedural_final_points(&cache->hair, subdiv); + need_ft_update = true; + } + if ((*r_hair_cache)->final[subdiv].proc_hairs[thickness_res - 1] == NULL) { + particle_batch_cache_ensure_procedural_indices( + source.edit, source.psys, &cache->hair, thickness_res, subdiv); + } + + return need_ft_update; } diff --git a/source/blender/draw/intern/draw_common.c b/source/blender/draw/intern/draw_common.c index 573b906413f..465a4f7a897 100644 --- a/source/blender/draw/intern/draw_common.c +++ b/source/blender/draw/intern/draw_common.c @@ -34,11 +34,11 @@ #include "draw_common.h" #if 0 -#define UI_COLOR_RGB_FROM_U8(r, g, b, v4) \ - ARRAY_SET_ITEMS(v4, (float)r / 255.0f, (float)g / 255.0f, (float)b / 255.0f, 1.0) +# define UI_COLOR_RGB_FROM_U8(r, g, b, v4) \ + ARRAY_SET_ITEMS(v4, (float)r / 255.0f, (float)g / 255.0f, (float)b / 255.0f, 1.0) #endif #define UI_COLOR_RGBA_FROM_U8(r, g, b, a, v4) \ - ARRAY_SET_ITEMS(v4, (float)r / 255.0f, (float)g / 255.0f, (float)b / 255.0f, (float)a / 255.0f) + ARRAY_SET_ITEMS(v4, (float)r / 255.0f, (float)g / 255.0f, (float)b / 255.0f, (float)a / 255.0f) /* Colors & Constant */ struct DRW_Global G_draw = {{{0}}}; @@ -50,158 +50,162 @@ static struct GPUTexture *DRW_create_weight_colorramp_texture(void); void DRW_globals_update(void) { - GlobalsUboStorage *gb = &G_draw.block; - - UI_GetThemeColor4fv(TH_WIRE, gb->colorWire); - UI_GetThemeColor4fv(TH_WIRE_EDIT, gb->colorWireEdit); - UI_GetThemeColor4fv(TH_ACTIVE, gb->colorActive); - UI_GetThemeColor4fv(TH_SELECT, gb->colorSelect); - UI_COLOR_RGBA_FROM_U8(0x88, 0xFF, 0xFF, 155, gb->colorLibrarySelect); - UI_COLOR_RGBA_FROM_U8(0x55, 0xCC, 0xCC, 155, gb->colorLibrary); - UI_GetThemeColor4fv(TH_TRANSFORM, gb->colorTransform); - UI_GetThemeColor4fv(TH_LIGHT, gb->colorLight); - UI_GetThemeColor4fv(TH_SPEAKER, gb->colorSpeaker); - UI_GetThemeColor4fv(TH_CAMERA, gb->colorCamera); - UI_GetThemeColor4fv(TH_EMPTY, gb->colorEmpty); - UI_GetThemeColor4fv(TH_VERTEX, gb->colorVertex); - UI_GetThemeColor4fv(TH_VERTEX_SELECT, gb->colorVertexSelect); - UI_GetThemeColor4fv(TH_VERTEX_UNREFERENCED, gb->colorVertexUnreferenced); - UI_COLOR_RGBA_FROM_U8(0xB0, 0x00, 0xB0, 0xFF, gb->colorVertexMissingData); - UI_GetThemeColor4fv(TH_EDITMESH_ACTIVE, gb->colorEditMeshActive); - UI_GetThemeColor4fv(TH_EDGE_SELECT, gb->colorEdgeSelect); - - UI_GetThemeColor4fv(TH_EDGE_SEAM, gb->colorEdgeSeam); - UI_GetThemeColor4fv(TH_EDGE_SHARP, gb->colorEdgeSharp); - UI_GetThemeColor4fv(TH_EDGE_CREASE, gb->colorEdgeCrease); - UI_GetThemeColor4fv(TH_EDGE_BEVEL, gb->colorEdgeBWeight); - UI_GetThemeColor4fv(TH_EDGE_FACESEL, gb->colorEdgeFaceSelect); - UI_GetThemeColor4fv(TH_FACE, gb->colorFace); - UI_GetThemeColor4fv(TH_FACE_SELECT, gb->colorFaceSelect); - UI_GetThemeColor4fv(TH_NORMAL, gb->colorNormal); - UI_GetThemeColor4fv(TH_VNORMAL, gb->colorVNormal); - UI_GetThemeColor4fv(TH_LNORMAL, gb->colorLNormal); - UI_GetThemeColor4fv(TH_FACE_DOT, gb->colorFaceDot); - UI_GetThemeColor4fv(TH_BACK, gb->colorBackground); - - /* Custom median color to slightly affect the edit mesh colors. */ - interp_v4_v4v4(gb->colorEditMeshMiddle, gb->colorVertexSelect, gb->colorWireEdit, 0.35f); - copy_v3_fl(gb->colorEditMeshMiddle, dot_v3v3(gb->colorEditMeshMiddle, (float[3]){0.3333f, 0.3333f, 0.3333f})); /* Desaturate */ - - interp_v4_v4v4(gb->colorDupliSelect, gb->colorBackground, gb->colorSelect, 0.5f); - /* Was 50% in 2.7x since the background was lighter making it easier to tell the color from black, - * with a darker background we need a more faded color. */ - interp_v4_v4v4(gb->colorDupli, gb->colorBackground, gb->colorWire, 0.3f); + GlobalsUboStorage *gb = &G_draw.block; + + UI_GetThemeColor4fv(TH_WIRE, gb->colorWire); + UI_GetThemeColor4fv(TH_WIRE_EDIT, gb->colorWireEdit); + UI_GetThemeColor4fv(TH_ACTIVE, gb->colorActive); + UI_GetThemeColor4fv(TH_SELECT, gb->colorSelect); + UI_COLOR_RGBA_FROM_U8(0x88, 0xFF, 0xFF, 155, gb->colorLibrarySelect); + UI_COLOR_RGBA_FROM_U8(0x55, 0xCC, 0xCC, 155, gb->colorLibrary); + UI_GetThemeColor4fv(TH_TRANSFORM, gb->colorTransform); + UI_GetThemeColor4fv(TH_LIGHT, gb->colorLight); + UI_GetThemeColor4fv(TH_SPEAKER, gb->colorSpeaker); + UI_GetThemeColor4fv(TH_CAMERA, gb->colorCamera); + UI_GetThemeColor4fv(TH_EMPTY, gb->colorEmpty); + UI_GetThemeColor4fv(TH_VERTEX, gb->colorVertex); + UI_GetThemeColor4fv(TH_VERTEX_SELECT, gb->colorVertexSelect); + UI_GetThemeColor4fv(TH_VERTEX_UNREFERENCED, gb->colorVertexUnreferenced); + UI_COLOR_RGBA_FROM_U8(0xB0, 0x00, 0xB0, 0xFF, gb->colorVertexMissingData); + UI_GetThemeColor4fv(TH_EDITMESH_ACTIVE, gb->colorEditMeshActive); + UI_GetThemeColor4fv(TH_EDGE_SELECT, gb->colorEdgeSelect); + + UI_GetThemeColor4fv(TH_EDGE_SEAM, gb->colorEdgeSeam); + UI_GetThemeColor4fv(TH_EDGE_SHARP, gb->colorEdgeSharp); + UI_GetThemeColor4fv(TH_EDGE_CREASE, gb->colorEdgeCrease); + UI_GetThemeColor4fv(TH_EDGE_BEVEL, gb->colorEdgeBWeight); + UI_GetThemeColor4fv(TH_EDGE_FACESEL, gb->colorEdgeFaceSelect); + UI_GetThemeColor4fv(TH_FACE, gb->colorFace); + UI_GetThemeColor4fv(TH_FACE_SELECT, gb->colorFaceSelect); + UI_GetThemeColor4fv(TH_NORMAL, gb->colorNormal); + UI_GetThemeColor4fv(TH_VNORMAL, gb->colorVNormal); + UI_GetThemeColor4fv(TH_LNORMAL, gb->colorLNormal); + UI_GetThemeColor4fv(TH_FACE_DOT, gb->colorFaceDot); + UI_GetThemeColor4fv(TH_BACK, gb->colorBackground); + + /* Custom median color to slightly affect the edit mesh colors. */ + interp_v4_v4v4(gb->colorEditMeshMiddle, gb->colorVertexSelect, gb->colorWireEdit, 0.35f); + copy_v3_fl( + gb->colorEditMeshMiddle, + dot_v3v3(gb->colorEditMeshMiddle, (float[3]){0.3333f, 0.3333f, 0.3333f})); /* Desaturate */ + + interp_v4_v4v4(gb->colorDupliSelect, gb->colorBackground, gb->colorSelect, 0.5f); + /* Was 50% in 2.7x since the background was lighter making it easier to tell the color from black, + * with a darker background we need a more faded color. */ + interp_v4_v4v4(gb->colorDupli, gb->colorBackground, gb->colorWire, 0.3f); #ifdef WITH_FREESTYLE - UI_GetThemeColor4fv(TH_FREESTYLE_EDGE_MARK, gb->colorEdgeFreestyle); - UI_GetThemeColor4fv(TH_FREESTYLE_FACE_MARK, gb->colorFaceFreestyle); + UI_GetThemeColor4fv(TH_FREESTYLE_EDGE_MARK, gb->colorEdgeFreestyle); + UI_GetThemeColor4fv(TH_FREESTYLE_FACE_MARK, gb->colorFaceFreestyle); #else - zero_v4(gb->colorEdgeFreestyle); - zero_v4(gb->colorFaceFreestyle); + zero_v4(gb->colorEdgeFreestyle); + zero_v4(gb->colorFaceFreestyle); #endif - /* Curve */ - UI_GetThemeColor4fv(TH_HANDLE_FREE, gb->colorHandleFree); - UI_GetThemeColor4fv(TH_HANDLE_AUTO, gb->colorHandleAuto); - UI_GetThemeColor4fv(TH_HANDLE_VECT, gb->colorHandleVect); - UI_GetThemeColor4fv(TH_HANDLE_ALIGN, gb->colorHandleAlign); - UI_GetThemeColor4fv(TH_HANDLE_AUTOCLAMP, gb->colorHandleAutoclamp); - UI_GetThemeColor4fv(TH_HANDLE_SEL_FREE, gb->colorHandleSelFree); - UI_GetThemeColor4fv(TH_HANDLE_SEL_AUTO, gb->colorHandleSelAuto); - UI_GetThemeColor4fv(TH_HANDLE_SEL_VECT, gb->colorHandleSelVect); - UI_GetThemeColor4fv(TH_HANDLE_SEL_ALIGN, gb->colorHandleSelAlign); - UI_GetThemeColor4fv(TH_HANDLE_SEL_AUTOCLAMP, gb->colorHandleSelAutoclamp); - UI_GetThemeColor4fv(TH_NURB_ULINE, gb->colorNurbUline); - UI_GetThemeColor4fv(TH_NURB_VLINE, gb->colorNurbVline); - UI_GetThemeColor4fv(TH_NURB_SEL_ULINE, gb->colorNurbSelUline); - UI_GetThemeColor4fv(TH_NURB_SEL_VLINE, gb->colorNurbSelVline); - UI_GetThemeColor4fv(TH_ACTIVE_SPLINE, gb->colorActiveSpline); - - UI_GetThemeColor4fv(TH_BONE_POSE, gb->colorBonePose); - - UI_GetThemeColor4fv(TH_CFRAME, gb->colorCurrentFrame); - - /* Grid */ - UI_GetThemeColorShade4fv(TH_GRID, 10, gb->colorGrid); - /* emphasise division lines lighter instead of darker, if background is darker than grid */ - UI_GetThemeColorShade4fv( - TH_GRID, - (gb->colorGrid[0] + gb->colorGrid[1] + gb->colorGrid[2] + 0.12f > - gb->colorBackground[0] + gb->colorBackground[1] + gb->colorBackground[2]) ? - 20 : -10, gb->colorGridEmphasise); - /* Grid Axis */ - UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_X, 0.5f, -10, gb->colorGridAxisX); - UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_Y, 0.5f, -10, gb->colorGridAxisY); - UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_Z, 0.5f, -10, gb->colorGridAxisZ); - - UI_GetThemeColorShadeAlpha4fv(TH_TRANSFORM, 0, -80, gb->colorDeselect); - UI_GetThemeColorShadeAlpha4fv(TH_WIRE, 0, -30, gb->colorOutline); - UI_GetThemeColorShadeAlpha4fv(TH_LIGHT, 0, 255, gb->colorLightNoAlpha); - - gb->sizeLightCenter = (U.obcenter_dia + 1.5f) * U.pixelsize; - gb->sizeLightCircle = U.pixelsize * 9.0f; - gb->sizeLightCircleShadow = gb->sizeLightCircle + U.pixelsize * 3.0f; - - /* M_SQRT2 to be at least the same size of the old square */ - gb->sizeVertex = U.pixelsize * (max_ff(1.0f, UI_GetThemeValuef(TH_VERTEX_SIZE) * (float)M_SQRT2 / 2.0f)); - gb->sizeFaceDot = U.pixelsize * UI_GetThemeValuef(TH_FACEDOT_SIZE); - gb->sizeEdge = U.pixelsize * (1.0f / 2.0f); /* TODO Theme */ - gb->sizeEdgeFix = U.pixelsize * (0.5f + 2.0f * (2.0f * (gb->sizeEdge * (float)M_SQRT1_2))); - - /* Color management. */ - if (DRW_state_is_image_render()) { - float *color = gb->UBO_FIRST_COLOR; - do { - /* TODO more accurate transform. */ - srgb_to_linearrgb_v4(color, color); - color += 4; - } while (color != gb->UBO_LAST_COLOR); - } - - if (G_draw.block_ubo == NULL) { - G_draw.block_ubo = DRW_uniformbuffer_create(sizeof(GlobalsUboStorage), gb); - } - - DRW_uniformbuffer_update(G_draw.block_ubo, gb); - - if (!G_draw.ramp) { - ColorBand ramp = {0}; - float *colors; - int col_size; - - ramp.tot = 3; - ramp.data[0].a = 1.0f; - ramp.data[0].b = 1.0f; - ramp.data[0].pos = 0.0f; - ramp.data[1].a = 1.0f; - ramp.data[1].g = 1.0f; - ramp.data[1].pos = 0.5f; - ramp.data[2].a = 1.0f; - ramp.data[2].r = 1.0f; - ramp.data[2].pos = 1.0f; - - BKE_colorband_evaluate_table_rgba(&ramp, &colors, &col_size); - - G_draw.ramp = GPU_texture_create_1d(col_size, GPU_RGBA8, colors, NULL); - - MEM_freeN(colors); - } - - /* Weight Painting color ramp texture */ - bool user_weight_ramp = (U.flag & USER_CUSTOM_RANGE) != 0; - - if (weight_ramp_custom != user_weight_ramp || - (user_weight_ramp && memcmp(&weight_ramp_copy, &U.coba_weight, sizeof(ColorBand)) != 0)) - { - DRW_TEXTURE_FREE_SAFE(G_draw.weight_ramp); - } - - if (G_draw.weight_ramp == NULL) { - weight_ramp_custom = user_weight_ramp; - memcpy(&weight_ramp_copy, &U.coba_weight, sizeof(ColorBand)); - - G_draw.weight_ramp = DRW_create_weight_colorramp_texture(); - } + /* Curve */ + UI_GetThemeColor4fv(TH_HANDLE_FREE, gb->colorHandleFree); + UI_GetThemeColor4fv(TH_HANDLE_AUTO, gb->colorHandleAuto); + UI_GetThemeColor4fv(TH_HANDLE_VECT, gb->colorHandleVect); + UI_GetThemeColor4fv(TH_HANDLE_ALIGN, gb->colorHandleAlign); + UI_GetThemeColor4fv(TH_HANDLE_AUTOCLAMP, gb->colorHandleAutoclamp); + UI_GetThemeColor4fv(TH_HANDLE_SEL_FREE, gb->colorHandleSelFree); + UI_GetThemeColor4fv(TH_HANDLE_SEL_AUTO, gb->colorHandleSelAuto); + UI_GetThemeColor4fv(TH_HANDLE_SEL_VECT, gb->colorHandleSelVect); + UI_GetThemeColor4fv(TH_HANDLE_SEL_ALIGN, gb->colorHandleSelAlign); + UI_GetThemeColor4fv(TH_HANDLE_SEL_AUTOCLAMP, gb->colorHandleSelAutoclamp); + UI_GetThemeColor4fv(TH_NURB_ULINE, gb->colorNurbUline); + UI_GetThemeColor4fv(TH_NURB_VLINE, gb->colorNurbVline); + UI_GetThemeColor4fv(TH_NURB_SEL_ULINE, gb->colorNurbSelUline); + UI_GetThemeColor4fv(TH_NURB_SEL_VLINE, gb->colorNurbSelVline); + UI_GetThemeColor4fv(TH_ACTIVE_SPLINE, gb->colorActiveSpline); + + UI_GetThemeColor4fv(TH_BONE_POSE, gb->colorBonePose); + + UI_GetThemeColor4fv(TH_CFRAME, gb->colorCurrentFrame); + + /* Grid */ + UI_GetThemeColorShade4fv(TH_GRID, 10, gb->colorGrid); + /* emphasise division lines lighter instead of darker, if background is darker than grid */ + UI_GetThemeColorShade4fv( + TH_GRID, + (gb->colorGrid[0] + gb->colorGrid[1] + gb->colorGrid[2] + 0.12f > + gb->colorBackground[0] + gb->colorBackground[1] + gb->colorBackground[2]) ? + 20 : + -10, + gb->colorGridEmphasise); + /* Grid Axis */ + UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_X, 0.5f, -10, gb->colorGridAxisX); + UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_Y, 0.5f, -10, gb->colorGridAxisY); + UI_GetThemeColorBlendShade4fv(TH_GRID, TH_AXIS_Z, 0.5f, -10, gb->colorGridAxisZ); + + UI_GetThemeColorShadeAlpha4fv(TH_TRANSFORM, 0, -80, gb->colorDeselect); + UI_GetThemeColorShadeAlpha4fv(TH_WIRE, 0, -30, gb->colorOutline); + UI_GetThemeColorShadeAlpha4fv(TH_LIGHT, 0, 255, gb->colorLightNoAlpha); + + gb->sizeLightCenter = (U.obcenter_dia + 1.5f) * U.pixelsize; + gb->sizeLightCircle = U.pixelsize * 9.0f; + gb->sizeLightCircleShadow = gb->sizeLightCircle + U.pixelsize * 3.0f; + + /* M_SQRT2 to be at least the same size of the old square */ + gb->sizeVertex = U.pixelsize * + (max_ff(1.0f, UI_GetThemeValuef(TH_VERTEX_SIZE) * (float)M_SQRT2 / 2.0f)); + gb->sizeFaceDot = U.pixelsize * UI_GetThemeValuef(TH_FACEDOT_SIZE); + gb->sizeEdge = U.pixelsize * (1.0f / 2.0f); /* TODO Theme */ + gb->sizeEdgeFix = U.pixelsize * (0.5f + 2.0f * (2.0f * (gb->sizeEdge * (float)M_SQRT1_2))); + + /* Color management. */ + if (DRW_state_is_image_render()) { + float *color = gb->UBO_FIRST_COLOR; + do { + /* TODO more accurate transform. */ + srgb_to_linearrgb_v4(color, color); + color += 4; + } while (color != gb->UBO_LAST_COLOR); + } + + if (G_draw.block_ubo == NULL) { + G_draw.block_ubo = DRW_uniformbuffer_create(sizeof(GlobalsUboStorage), gb); + } + + DRW_uniformbuffer_update(G_draw.block_ubo, gb); + + if (!G_draw.ramp) { + ColorBand ramp = {0}; + float *colors; + int col_size; + + ramp.tot = 3; + ramp.data[0].a = 1.0f; + ramp.data[0].b = 1.0f; + ramp.data[0].pos = 0.0f; + ramp.data[1].a = 1.0f; + ramp.data[1].g = 1.0f; + ramp.data[1].pos = 0.5f; + ramp.data[2].a = 1.0f; + ramp.data[2].r = 1.0f; + ramp.data[2].pos = 1.0f; + + BKE_colorband_evaluate_table_rgba(&ramp, &colors, &col_size); + + G_draw.ramp = GPU_texture_create_1d(col_size, GPU_RGBA8, colors, NULL); + + MEM_freeN(colors); + } + + /* Weight Painting color ramp texture */ + bool user_weight_ramp = (U.flag & USER_CUSTOM_RANGE) != 0; + + if (weight_ramp_custom != user_weight_ramp || + (user_weight_ramp && memcmp(&weight_ramp_copy, &U.coba_weight, sizeof(ColorBand)) != 0)) { + DRW_TEXTURE_FREE_SAFE(G_draw.weight_ramp); + } + + if (G_draw.weight_ramp == NULL) { + weight_ramp_custom = user_weight_ramp; + memcpy(&weight_ramp_copy, &U.coba_weight, sizeof(ColorBand)); + + G_draw.weight_ramp = DRW_create_weight_colorramp_texture(); + } } /* ********************************* SHGROUP ************************************* */ @@ -238,737 +242,807 @@ extern char datatoc_object_mball_handles_vert_glsl[]; extern char datatoc_object_empty_axes_vert_glsl[]; typedef struct COMMON_Shaders { - struct GPUShader *shape_outline; - struct GPUShader *shape_solid; - struct GPUShader *bone_axes; - struct GPUShader *bone_envelope; - struct GPUShader *bone_envelope_distance; - struct GPUShader *bone_envelope_outline; - struct GPUShader *bone_sphere; - struct GPUShader *bone_sphere_outline; - struct GPUShader *bone_stick; - struct GPUShader *bone_dofs; - - struct GPUShader *mpath_line_sh; - struct GPUShader *mpath_points_sh; - - struct GPUShader *volume_velocity_needle_sh; - struct GPUShader *volume_velocity_sh; - struct GPUShader *empty_axes_sh; - - struct GPUShader *mball_handles; + struct GPUShader *shape_outline; + struct GPUShader *shape_solid; + struct GPUShader *bone_axes; + struct GPUShader *bone_envelope; + struct GPUShader *bone_envelope_distance; + struct GPUShader *bone_envelope_outline; + struct GPUShader *bone_sphere; + struct GPUShader *bone_sphere_outline; + struct GPUShader *bone_stick; + struct GPUShader *bone_dofs; + + struct GPUShader *mpath_line_sh; + struct GPUShader *mpath_points_sh; + + struct GPUShader *volume_velocity_needle_sh; + struct GPUShader *volume_velocity_sh; + struct GPUShader *empty_axes_sh; + + struct GPUShader *mball_handles; } COMMON_Shaders; static COMMON_Shaders g_shaders[GPU_SHADER_CFG_LEN] = {{NULL}}; static struct { - struct GPUVertFormat *instance_screenspace; - struct GPUVertFormat *instance_color; - struct GPUVertFormat *instance_screen_aligned; - struct GPUVertFormat *instance_scaled; - struct GPUVertFormat *instance_sized; - struct GPUVertFormat *instance_outline; - struct GPUVertFormat *instance; - struct GPUVertFormat *instance_camera; - struct GPUVertFormat *instance_distance_lines; - struct GPUVertFormat *instance_spot; - struct GPUVertFormat *instance_bone; - struct GPUVertFormat *instance_bone_dof; - struct GPUVertFormat *instance_bone_stick; - struct GPUVertFormat *instance_bone_outline; - struct GPUVertFormat *instance_bone_envelope; - struct GPUVertFormat *instance_bone_envelope_distance; - struct GPUVertFormat *instance_bone_envelope_outline; - struct GPUVertFormat *instance_mball_handles; - struct GPUVertFormat *dynlines_color; + struct GPUVertFormat *instance_screenspace; + struct GPUVertFormat *instance_color; + struct GPUVertFormat *instance_screen_aligned; + struct GPUVertFormat *instance_scaled; + struct GPUVertFormat *instance_sized; + struct GPUVertFormat *instance_outline; + struct GPUVertFormat *instance; + struct GPUVertFormat *instance_camera; + struct GPUVertFormat *instance_distance_lines; + struct GPUVertFormat *instance_spot; + struct GPUVertFormat *instance_bone; + struct GPUVertFormat *instance_bone_dof; + struct GPUVertFormat *instance_bone_stick; + struct GPUVertFormat *instance_bone_outline; + struct GPUVertFormat *instance_bone_envelope; + struct GPUVertFormat *instance_bone_envelope_distance; + struct GPUVertFormat *instance_bone_envelope_outline; + struct GPUVertFormat *instance_mball_handles; + struct GPUVertFormat *dynlines_color; } g_formats = {NULL}; void DRW_globals_free(void) { - struct GPUVertFormat **format = &g_formats.instance_screenspace; - for (int i = 0; i < sizeof(g_formats) / sizeof(void *); ++i, ++format) { - MEM_SAFE_FREE(*format); - } - - for (int j = 0; j < GPU_SHADER_CFG_LEN; j++) { - struct GPUShader **shader = &g_shaders[j].shape_outline; - for (int i = 0; i < sizeof(g_shaders[j]) / sizeof(void *); ++i, ++shader) { - DRW_SHADER_FREE_SAFE(*shader); - } - } + struct GPUVertFormat **format = &g_formats.instance_screenspace; + for (int i = 0; i < sizeof(g_formats) / sizeof(void *); ++i, ++format) { + MEM_SAFE_FREE(*format); + } + + for (int j = 0; j < GPU_SHADER_CFG_LEN; j++) { + struct GPUShader **shader = &g_shaders[j].shape_outline; + for (int i = 0; i < sizeof(g_shaders[j]) / sizeof(void *); ++i, ++shader) { + DRW_SHADER_FREE_SAFE(*shader); + } + } } void DRW_shgroup_world_clip_planes_from_rv3d(DRWShadingGroup *shgrp, const RegionView3D *rv3d) { - int world_clip_planes_len = (rv3d->viewlock & RV3D_BOXCLIP) ? 4 : 6; - DRW_shgroup_uniform_vec4(shgrp, "WorldClipPlanes", rv3d->clip[0], world_clip_planes_len); - DRW_shgroup_state_enable(shgrp, DRW_STATE_CLIP_PLANES); + int world_clip_planes_len = (rv3d->viewlock & RV3D_BOXCLIP) ? 4 : 6; + DRW_shgroup_uniform_vec4(shgrp, "WorldClipPlanes", rv3d->clip[0], world_clip_planes_len); + DRW_shgroup_state_enable(shgrp, DRW_STATE_CLIP_PLANES); } DRWShadingGroup *shgroup_dynlines_flat_color(DRWPass *pass, eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_FLAT_COLOR, sh_cfg); - - DRW_shgroup_instance_format(g_formats.dynlines_color, { - {"pos", DRW_ATTR_FLOAT, 3}, - {"color", DRW_ATTR_FLOAT, 4}, - }); - - DRWShadingGroup *grp = DRW_shgroup_line_batch_create_with_format(sh, pass, g_formats.dynlines_color); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_FLAT_COLOR, sh_cfg); + + DRW_shgroup_instance_format(g_formats.dynlines_color, + { + {"pos", DRW_ATTR_FLOAT, 3}, + {"color", DRW_ATTR_FLOAT, 4}, + }); + + DRWShadingGroup *grp = DRW_shgroup_line_batch_create_with_format( + sh, pass, g_formats.dynlines_color); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_dynlines_dashed_uniform_color(DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_dynlines_dashed_uniform_color(DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_LINE_DASHED_UNIFORM_COLOR, sh_cfg); - - static float dash_width = 6.0f; - static float dash_factor = 0.5f; - DRWShadingGroup *grp = DRW_shgroup_line_batch_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", color, 1); - DRW_shgroup_uniform_vec2(grp, "viewport_size", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_float(grp, "dash_width", &dash_width, 1); - DRW_shgroup_uniform_float(grp, "dash_factor", &dash_factor, 1); - DRW_shgroup_uniform_int_copy(grp, "colors_len", 0); /* "simple" mode */ - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_3D_LINE_DASHED_UNIFORM_COLOR, sh_cfg); + + static float dash_width = 6.0f; + static float dash_factor = 0.5f; + DRWShadingGroup *grp = DRW_shgroup_line_batch_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", color, 1); + DRW_shgroup_uniform_vec2(grp, "viewport_size", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_float(grp, "dash_width", &dash_width, 1); + DRW_shgroup_uniform_float(grp, "dash_factor", &dash_factor, 1); + DRW_shgroup_uniform_int_copy(grp, "colors_len", 0); /* "simple" mode */ + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_dynpoints_uniform_color( - DRWPass *pass, const float color[4], const float *size, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_dynpoints_uniform_color(DRWPass *pass, + const float color[4], + const float *size, + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_POINT_UNIFORM_SIZE_UNIFORM_COLOR_AA, sh_cfg); - - DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", color, 1); - DRW_shgroup_uniform_float(grp, "size", size, 1); - DRW_shgroup_state_enable(grp, DRW_STATE_POINT); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_3D_POINT_UNIFORM_SIZE_UNIFORM_COLOR_AA, sh_cfg); + + DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", color, 1); + DRW_shgroup_uniform_float(grp, "size", size, 1); + DRW_shgroup_state_enable(grp, DRW_STATE_POINT); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_groundlines_uniform_color(DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_groundlines_uniform_color(DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_GROUNDLINE, sh_cfg); - - DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", color, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_GROUNDLINE, sh_cfg); + + DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", color, 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_groundpoints_uniform_color(DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_groundpoints_uniform_color(DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_GROUNDPOINT, sh_cfg); - - DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", color, 1); - DRW_shgroup_state_enable(grp, DRW_STATE_POINT); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_GROUNDPOINT, sh_cfg); + + DRWShadingGroup *grp = DRW_shgroup_point_batch_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", color, 1); + DRW_shgroup_state_enable(grp, DRW_STATE_POINT); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_screenspace( - DRWPass *pass, struct GPUBatch *geom, const float *size, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_screenspace(DRWPass *pass, + struct GPUBatch *geom, + const float *size, + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_SCREENSPACE_VARIYING_COLOR, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_screenspace, { - {"world_pos", DRW_ATTR_FLOAT, 3}, - {"color", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_screenspace); - DRW_shgroup_uniform_float(grp, "size", size, 1); - DRW_shgroup_uniform_float(grp, "pixel_size", DRW_viewport_pixelsize_get(), 1); - DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_3D_SCREENSPACE_VARIYING_COLOR, sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_screenspace, + { + {"world_pos", DRW_ATTR_FLOAT, 3}, + {"color", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh, pass, geom, g_formats.instance_screenspace); + DRW_shgroup_uniform_float(grp, "size", size, 1); + DRW_shgroup_uniform_float(grp, "pixel_size", DRW_viewport_pixelsize_get(), 1); + DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_solid(DRWPass *pass, struct GPUBatch *geom) { - static float light[3] = {0.0f, 0.0f, 1.0f}; - GPUShader *sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_OBJECTSPACE_SIMPLE_LIGHTING_VARIYING_COLOR); + static float light[3] = {0.0f, 0.0f, 1.0f}; + GPUShader *sh = GPU_shader_get_builtin_shader( + GPU_SHADER_3D_OBJECTSPACE_SIMPLE_LIGHTING_VARIYING_COLOR); - DRW_shgroup_instance_format(g_formats.instance_color, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"color", DRW_ATTR_FLOAT, 4}, - }); + DRW_shgroup_instance_format(g_formats.instance_color, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"color", DRW_ATTR_FLOAT, 4}, + }); - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_color); - DRW_shgroup_uniform_vec3(grp, "light", light, 1); + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_color); + DRW_shgroup_uniform_vec3(grp, "light", light, 1); - return grp; + return grp; } DRWShadingGroup *shgroup_instance_wire(DRWPass *pass, struct GPUBatch *geom) { - GPUShader *sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_OBJECTSPACE_VARIYING_COLOR); + GPUShader *sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_OBJECTSPACE_VARIYING_COLOR); - DRW_shgroup_instance_format(g_formats.instance_color, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"color", DRW_ATTR_FLOAT, 4}, - }); + DRW_shgroup_instance_format(g_formats.instance_color, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"color", DRW_ATTR_FLOAT, 4}, + }); - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_color); + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_color); - return grp; + return grp; } -DRWShadingGroup *shgroup_instance_screen_aligned( - DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_screen_aligned(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_INSTANCE_SCREEN_ALIGNED, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_screen_aligned, { - {"color", DRW_ATTR_FLOAT, 3}, - {"size", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh, pass, geom, g_formats.instance_screen_aligned); - DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_INSTANCE_SCREEN_ALIGNED, + sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_screen_aligned, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"size", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh, pass, geom, g_formats.instance_screen_aligned); + DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_scaled(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_scaled(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SCALE, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_scaled, { - {"color", DRW_ATTR_FLOAT, 3}, - {"size", DRW_ATTR_FLOAT, 3}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_scaled); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SCALE, sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_scaled, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"size", DRW_ATTR_FLOAT, 3}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_scaled); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_sized, { - {"color", DRW_ATTR_FLOAT, 4}, - {"size", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_sized); - DRW_shgroup_state_disable(grp, DRW_STATE_BLEND); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE, sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_sized, + { + {"color", DRW_ATTR_FLOAT, 4}, + {"size", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_sized); + DRW_shgroup_state_disable(grp, DRW_STATE_BLEND); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_alpha(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_alpha(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_sized, { - {"color", DRW_ATTR_FLOAT, 4}, - {"size", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_sized); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE, sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_sized, + { + {"color", DRW_ATTR_FLOAT, 4}, + {"size", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_sized); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_empty_axes(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_empty_axes(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->empty_axes_sh == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->empty_axes_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_axes_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_sized, { - {"color", DRW_ATTR_FLOAT, 3}, - {"size", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->empty_axes_sh, pass, geom, g_formats.instance_sized); - DRW_shgroup_uniform_vec3(grp, "screenVecs[0]", DRW_viewport_screenvecs_get(), 2); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->empty_axes_sh == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->empty_axes_sh = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_axes_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_sized, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"size", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->empty_axes_sh, pass, geom, g_formats.instance_sized); + DRW_shgroup_uniform_vec3(grp, "screenVecs[0]", DRW_viewport_screenvecs_get(), 2); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_outline(DRWPass *pass, struct GPUBatch *geom, int *baseid) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader(GPU_SHADER_INSTANCE_VARIYING_ID_VARIYING_SIZE); + GPUShader *sh_inst = GPU_shader_get_builtin_shader( + GPU_SHADER_INSTANCE_VARIYING_ID_VARIYING_SIZE); - DRW_shgroup_instance_format(g_formats.instance_outline, { - {"callId", DRW_ATTR_INT, 1}, - {"size", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); + DRW_shgroup_instance_format(g_formats.instance_outline, + { + {"callId", DRW_ATTR_INT, 1}, + {"size", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_outline); - DRW_shgroup_uniform_int(grp, "baseId", baseid, 1); + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_outline); + DRW_shgroup_uniform_int(grp, "baseId", baseid, 1); - return grp; + return grp; } -DRWShadingGroup *shgroup_camera_instance(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_camera_instance(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_CAMERA, sh_cfg); - - DRW_shgroup_instance_format(g_formats.instance_camera, { - {"color", DRW_ATTR_FLOAT, 3}, - {"corners", DRW_ATTR_FLOAT, 8}, - {"depth", DRW_ATTR_FLOAT, 1}, - {"tria", DRW_ATTR_FLOAT, 4}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_camera); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_CAMERA, sh_cfg); + + DRW_shgroup_instance_format(g_formats.instance_camera, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"corners", DRW_ATTR_FLOAT, 8}, + {"depth", DRW_ATTR_FLOAT, 1}, + {"tria", DRW_ATTR_FLOAT, 4}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_camera); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_distance_lines_instance(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_distance_lines_instance(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_DISTANCE_LINES, sh_cfg); - static float point_size = 4.0f; - - DRW_shgroup_instance_format(g_formats.instance_distance_lines, { - {"color", DRW_ATTR_FLOAT, 3}, - {"start", DRW_ATTR_FLOAT, 1}, - {"end", DRW_ATTR_FLOAT, 1}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_distance_lines); - DRW_shgroup_uniform_float(grp, "size", &point_size, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_DISTANCE_LINES, + sh_cfg); + static float point_size = 4.0f; + + DRW_shgroup_instance_format(g_formats.instance_distance_lines, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"start", DRW_ATTR_FLOAT, 1}, + {"end", DRW_ATTR_FLOAT, 1}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_inst, pass, geom, g_formats.instance_distance_lines); + DRW_shgroup_uniform_float(grp, "size", &point_size, 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_spot_instance(DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_spot_instance(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_INSTANCE_EDGES_VARIYING_COLOR, sh_cfg); - static const int True = true; - static const int False = false; - - DRW_shgroup_instance_format(g_formats.instance_spot, { - {"color", DRW_ATTR_FLOAT, 3}, - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_spot); - DRW_shgroup_uniform_bool(grp, "drawFront", &False, 1); - DRW_shgroup_uniform_bool(grp, "drawBack", &False, 1); - DRW_shgroup_uniform_bool(grp, "drawSilhouette", &True, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + GPUShader *sh_inst = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_INSTANCE_EDGES_VARIYING_COLOR, sh_cfg); + static const int True = true; + static const int False = false; + + DRW_shgroup_instance_format(g_formats.instance_spot, + { + {"color", DRW_ATTR_FLOAT, 3}, + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_inst, pass, geom, g_formats.instance_spot); + DRW_shgroup_uniform_bool(grp, "drawFront", &False, 1); + DRW_shgroup_uniform_bool(grp, "drawBack", &False, 1); + DRW_shgroup_uniform_bool(grp, "drawSilhouette", &True, 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_bone_axes(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_axes == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_axes = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_axes_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_color, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"color", DRW_ATTR_FLOAT, 4}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_axes, - pass, DRW_cache_bone_arrows_get(), - g_formats.instance_color); - DRW_shgroup_uniform_vec3(grp, "screenVecs[0]", DRW_viewport_screenvecs_get(), 2); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_axes == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_axes = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_axes_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_color, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"color", DRW_ATTR_FLOAT, 4}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->bone_axes, pass, DRW_cache_bone_arrows_get(), g_formats.instance_color); + DRW_shgroup_uniform_vec3(grp, "screenVecs[0]", DRW_viewport_screenvecs_get(), 2); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_bone_envelope_outline(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_envelope_outline == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_envelope_outline = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_outline_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_envelope_outline, { - {"headSphere", DRW_ATTR_FLOAT, 4}, - {"tailSphere", DRW_ATTR_FLOAT, 4}, - {"outlineColorSize", DRW_ATTR_FLOAT, 4}, - {"xAxis", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_envelope_outline, - pass, DRW_cache_bone_envelope_outline_get(), - g_formats.instance_bone_envelope_outline); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_envelope_outline == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_envelope_outline = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_outline_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_envelope_outline, + { + {"headSphere", DRW_ATTR_FLOAT, 4}, + {"tailSphere", DRW_ATTR_FLOAT, 4}, + {"outlineColorSize", DRW_ATTR_FLOAT, 4}, + {"xAxis", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->bone_envelope_outline, + pass, + DRW_cache_bone_envelope_outline_get(), + g_formats.instance_bone_envelope_outline); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_bone_envelope_distance(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_envelope_distance == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_envelope_distance = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_solid_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_armature_envelope_distance_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_envelope_distance, { - {"headSphere", DRW_ATTR_FLOAT, 4}, - {"tailSphere", DRW_ATTR_FLOAT, 4}, - {"xAxis", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_envelope_distance, - pass, DRW_cache_bone_envelope_solid_get(), - g_formats.instance_bone_envelope_distance); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_envelope_distance == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_envelope_distance = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_solid_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_armature_envelope_distance_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_envelope_distance, + { + {"headSphere", DRW_ATTR_FLOAT, 4}, + {"tailSphere", DRW_ATTR_FLOAT, 4}, + {"xAxis", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->bone_envelope_distance, + pass, + DRW_cache_bone_envelope_solid_get(), + g_formats.instance_bone_envelope_distance); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_bone_envelope_solid(DRWPass *pass, bool transp, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_bone_envelope_solid(DRWPass *pass, + bool transp, + eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_envelope == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_envelope = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_solid_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_armature_envelope_solid_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_envelope, { - {"headSphere", DRW_ATTR_FLOAT, 4}, - {"tailSphere", DRW_ATTR_FLOAT, 4}, - {"boneColor", DRW_ATTR_FLOAT, 3}, - {"stateColor", DRW_ATTR_FLOAT, 3}, - {"xAxis", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_envelope, - pass, DRW_cache_bone_envelope_solid_get(), - g_formats.instance_bone_envelope); - DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.6f : 1.0f); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_envelope == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_envelope = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_armature_envelope_solid_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_armature_envelope_solid_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_envelope, + { + {"headSphere", DRW_ATTR_FLOAT, 4}, + {"tailSphere", DRW_ATTR_FLOAT, 4}, + {"boneColor", DRW_ATTR_FLOAT, 3}, + {"stateColor", DRW_ATTR_FLOAT, 3}, + {"xAxis", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->bone_envelope, + pass, + DRW_cache_bone_envelope_solid_get(), + g_formats.instance_bone_envelope); + DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.6f : 1.0f); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_mball_handles(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->mball_handles == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->mball_handles = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_mball_handles_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_mball_handles, { - {"ScaleTranslationMatrix", DRW_ATTR_FLOAT, 12}, - {"radius", DRW_ATTR_FLOAT, 1}, - {"color", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->mball_handles, pass, - DRW_cache_screenspace_circle_get(), - g_formats.instance_mball_handles); - DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->mball_handles == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->mball_handles = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_mball_handles_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_mball_handles, + { + {"ScaleTranslationMatrix", DRW_ATTR_FLOAT, 12}, + {"radius", DRW_ATTR_FLOAT, 1}, + {"color", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->mball_handles, + pass, + DRW_cache_screenspace_circle_get(), + g_formats.instance_mball_handles); + DRW_shgroup_uniform_vec3(grp, "screen_vecs[0]", DRW_viewport_screenvecs_get(), 2); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } /* Only works with batches with adjacency infos. */ -DRWShadingGroup *shgroup_instance_bone_shape_outline( - DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_bone_shape_outline(DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->shape_outline == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->shape_outline = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_outline_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_outline_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_outline, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"outlineColorSize", DRW_ATTR_FLOAT, 4}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->shape_outline, - pass, geom, g_formats.instance_bone_outline); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->shape_outline == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->shape_outline = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_outline_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_outline_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_outline, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"outlineColorSize", DRW_ATTR_FLOAT, 4}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->shape_outline, pass, geom, g_formats.instance_bone_outline); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_bone_shape_solid( - DRWPass *pass, struct GPUBatch *geom, bool transp, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_bone_shape_solid(DRWPass *pass, + struct GPUBatch *geom, + bool transp, + eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->shape_solid == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->shape_solid = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_solid_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_armature_shape_solid_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"boneColor", DRW_ATTR_FLOAT, 3}, - {"stateColor", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->shape_solid, - pass, geom, g_formats.instance_bone); - DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.6f : 1.0f); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->shape_solid == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->shape_solid = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_shape_solid_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_armature_shape_solid_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"boneColor", DRW_ATTR_FLOAT, 3}, + {"stateColor", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->shape_solid, pass, geom, g_formats.instance_bone); + DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.6f : 1.0f); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -DRWShadingGroup *shgroup_instance_bone_sphere_solid(DRWPass *pass, bool transp, eGPUShaderConfig sh_cfg) +DRWShadingGroup *shgroup_instance_bone_sphere_solid(DRWPass *pass, + bool transp, + eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_sphere == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_sphere = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_sphere_solid_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_armature_sphere_solid_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"boneColor", DRW_ATTR_FLOAT, 3}, - {"stateColor", DRW_ATTR_FLOAT, 3}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_sphere, - pass, DRW_cache_bone_point_get(), g_formats.instance_bone); - /* More transparent than the shape to be less distractive. */ - DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.4f : 1.0f); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_sphere == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_sphere = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_sphere_solid_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_armature_sphere_solid_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"boneColor", DRW_ATTR_FLOAT, 3}, + {"stateColor", DRW_ATTR_FLOAT, 3}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->bone_sphere, pass, DRW_cache_bone_point_get(), g_formats.instance_bone); + /* More transparent than the shape to be less distractive. */ + DRW_shgroup_uniform_float_copy(grp, "alpha", transp ? 0.4f : 1.0f); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_bone_sphere_outline(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_sphere_outline == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_sphere_outline = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_sphere_outline_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_outline, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"outlineColorSize", DRW_ATTR_FLOAT, 4}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_sphere_outline, - pass, DRW_cache_bone_point_wire_outline_get(), - g_formats.instance_bone_outline); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_sphere_outline == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_sphere_outline = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_armature_sphere_outline_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_flat_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_outline, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"outlineColorSize", DRW_ATTR_FLOAT, 4}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create(sh_data->bone_sphere_outline, + pass, + DRW_cache_bone_point_wire_outline_get(), + g_formats.instance_bone_outline); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } DRWShadingGroup *shgroup_instance_bone_stick(DRWPass *pass, eGPUShaderConfig sh_cfg) { - COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; - if (sh_data->bone_stick == NULL) { - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; - sh_data->bone_stick = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_stick_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_armature_stick_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_stick, { - {"boneStart", DRW_ATTR_FLOAT, 3}, - {"boneEnd", DRW_ATTR_FLOAT, 3}, - {"wireColor", DRW_ATTR_FLOAT, 4}, /* TODO port theses to uchar color */ - {"boneColor", DRW_ATTR_FLOAT, 4}, - {"headColor", DRW_ATTR_FLOAT, 4}, - {"tailColor", DRW_ATTR_FLOAT, 4}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_stick, - pass, DRW_cache_bone_stick_get(), - g_formats.instance_bone_stick); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_float_copy(grp, "stickSize", 5.0f * U.pixelsize); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + COMMON_Shaders *sh_data = &g_shaders[sh_cfg]; + if (sh_data->bone_stick == NULL) { + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[sh_cfg]; + sh_data->bone_stick = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_armature_stick_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_armature_stick_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + DRW_shgroup_instance_format( + g_formats.instance_bone_stick, + { + {"boneStart", DRW_ATTR_FLOAT, 3}, + {"boneEnd", DRW_ATTR_FLOAT, 3}, + {"wireColor", DRW_ATTR_FLOAT, 4}, /* TODO port theses to uchar color */ + {"boneColor", DRW_ATTR_FLOAT, 4}, + {"headColor", DRW_ATTR_FLOAT, 4}, + {"tailColor", DRW_ATTR_FLOAT, 4}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->bone_stick, pass, DRW_cache_bone_stick_get(), g_formats.instance_bone_stick); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_float_copy(grp, "stickSize", 5.0f * U.pixelsize); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } struct DRWShadingGroup *shgroup_instance_bone_dof(struct DRWPass *pass, struct GPUBatch *geom) { - COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; - if (sh_data->bone_dofs == NULL) { - sh_data->bone_dofs = DRW_shader_create( - datatoc_armature_dof_vert_glsl, NULL, - datatoc_gpu_shader_flat_color_frag_glsl, NULL); - } - - DRW_shgroup_instance_format(g_formats.instance_bone_dof, { - {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, - {"color", DRW_ATTR_FLOAT, 4}, - {"amin", DRW_ATTR_FLOAT, 2}, - {"amax", DRW_ATTR_FLOAT, 2}, - }); - - DRWShadingGroup *grp = DRW_shgroup_instance_create( - sh_data->bone_dofs, - pass, geom, - g_formats.instance_bone_dof); - - return grp; + COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; + if (sh_data->bone_dofs == NULL) { + sh_data->bone_dofs = DRW_shader_create( + datatoc_armature_dof_vert_glsl, NULL, datatoc_gpu_shader_flat_color_frag_glsl, NULL); + } + + DRW_shgroup_instance_format(g_formats.instance_bone_dof, + { + {"InstanceModelMatrix", DRW_ATTR_FLOAT, 16}, + {"color", DRW_ATTR_FLOAT, 4}, + {"amin", DRW_ATTR_FLOAT, 2}, + {"amax", DRW_ATTR_FLOAT, 2}, + }); + + DRWShadingGroup *grp = DRW_shgroup_instance_create( + sh_data->bone_dofs, pass, geom, g_formats.instance_bone_dof); + + return grp; } struct GPUShader *mpath_line_shader_get(void) { - COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; - if (sh_data->mpath_line_sh == NULL) { - sh_data->mpath_line_sh = DRW_shader_create_with_lib( - datatoc_animviz_mpath_lines_vert_glsl, - datatoc_animviz_mpath_lines_geom_glsl, - datatoc_gpu_shader_3D_smooth_color_frag_glsl, - datatoc_common_globals_lib_glsl, - NULL); - } - return sh_data->mpath_line_sh; + COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; + if (sh_data->mpath_line_sh == NULL) { + sh_data->mpath_line_sh = DRW_shader_create_with_lib( + datatoc_animviz_mpath_lines_vert_glsl, + datatoc_animviz_mpath_lines_geom_glsl, + datatoc_gpu_shader_3D_smooth_color_frag_glsl, + datatoc_common_globals_lib_glsl, + NULL); + } + return sh_data->mpath_line_sh; } - struct GPUShader *mpath_points_shader_get(void) { - COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; - if (sh_data->mpath_points_sh == NULL) { - sh_data->mpath_points_sh = DRW_shader_create_with_lib( - datatoc_animviz_mpath_points_vert_glsl, - NULL, - datatoc_gpu_shader_point_varying_color_frag_glsl, - datatoc_common_globals_lib_glsl, - NULL); - } - return sh_data->mpath_points_sh; + COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; + if (sh_data->mpath_points_sh == NULL) { + sh_data->mpath_points_sh = DRW_shader_create_with_lib( + datatoc_animviz_mpath_points_vert_glsl, + NULL, + datatoc_gpu_shader_point_varying_color_frag_glsl, + datatoc_common_globals_lib_glsl, + NULL); + } + return sh_data->mpath_points_sh; } struct GPUShader *volume_velocity_shader_get(bool use_needle) { - COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; - if (use_needle) { - if (sh_data->volume_velocity_needle_sh == NULL) { - sh_data->volume_velocity_needle_sh = DRW_shader_create( - datatoc_volume_velocity_vert_glsl, NULL, - datatoc_gpu_shader_flat_color_frag_glsl, "#define USE_NEEDLE"); - } - return sh_data->volume_velocity_needle_sh; - } - else { - if (sh_data->volume_velocity_sh == NULL) { - sh_data->volume_velocity_sh = DRW_shader_create( - datatoc_volume_velocity_vert_glsl, NULL, - datatoc_gpu_shader_flat_color_frag_glsl, NULL); - } - return sh_data->volume_velocity_sh; - } + COMMON_Shaders *sh_data = &g_shaders[GPU_SHADER_CFG_DEFAULT]; + if (use_needle) { + if (sh_data->volume_velocity_needle_sh == NULL) { + sh_data->volume_velocity_needle_sh = DRW_shader_create( + datatoc_volume_velocity_vert_glsl, + NULL, + datatoc_gpu_shader_flat_color_frag_glsl, + "#define USE_NEEDLE"); + } + return sh_data->volume_velocity_needle_sh; + } + else { + if (sh_data->volume_velocity_sh == NULL) { + sh_data->volume_velocity_sh = DRW_shader_create( + datatoc_volume_velocity_vert_glsl, NULL, datatoc_gpu_shader_flat_color_frag_glsl, NULL); + } + return sh_data->volume_velocity_sh; + } } /* ******************************************** COLOR UTILS *********************************************** */ @@ -980,158 +1054,207 @@ struct GPUShader *volume_velocity_shader_get(bool use_needle) */ int DRW_object_wire_theme_get(Object *ob, ViewLayer *view_layer, float **r_color) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const bool is_edit = (draw_ctx->object_mode & OB_MODE_EDIT) && (ob->mode & OB_MODE_EDIT); - const bool active = (view_layer->basact && view_layer->basact->object == ob); - /* confusing logic here, there are 2 methods of setting the color - * 'colortab[colindex]' and 'theme_id', colindex overrides theme_id. - * - * note: no theme yet for 'colindex' */ - int theme_id = is_edit ? TH_WIRE_EDIT : TH_WIRE; - - if (is_edit) { - /* fallback to TH_WIRE */ - } - else if (((G.moving & G_TRANSFORM_OBJ) != 0) && - ((ob->base_flag & BASE_SELECTED) != 0)) - { - theme_id = TH_TRANSFORM; - } - else { - /* Sets the 'theme_id' or fallback to wire */ - if ((ob->base_flag & BASE_SELECTED) != 0) { - theme_id = (active) ? TH_ACTIVE : TH_SELECT; - } - else { - if (ob->type == OB_LAMP) { theme_id = TH_LIGHT; } - else if (ob->type == OB_SPEAKER) { theme_id = TH_SPEAKER; } - else if (ob->type == OB_CAMERA) { theme_id = TH_CAMERA; } - else if (ob->type == OB_EMPTY) { theme_id = TH_EMPTY; } - else if (ob->type == OB_LIGHTPROBE) { theme_id = TH_EMPTY; } /* TODO add lightprobe color */ - /* fallback to TH_WIRE */ - } - } - - if (r_color != NULL) { - if (UNLIKELY(ob->base_flag & BASE_FROM_SET)) { - *r_color = G_draw.block.colorDupli; - } - else if (UNLIKELY(ob->base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: *r_color = G_draw.block.colorDupliSelect; break; - case TH_TRANSFORM: *r_color = G_draw.block.colorTransform; break; - default: *r_color = G_draw.block.colorDupli; break; - } - } - else { - switch (theme_id) { - case TH_WIRE_EDIT: *r_color = G_draw.block.colorWireEdit; break; - case TH_ACTIVE: *r_color = G_draw.block.colorActive; break; - case TH_SELECT: *r_color = G_draw.block.colorSelect; break; - case TH_TRANSFORM: *r_color = G_draw.block.colorTransform; break; - case TH_SPEAKER: *r_color = G_draw.block.colorSpeaker; break; - case TH_CAMERA: *r_color = G_draw.block.colorCamera; break; - case TH_EMPTY: *r_color = G_draw.block.colorEmpty; break; - case TH_LIGHT: *r_color = G_draw.block.colorLight; break; - default: *r_color = G_draw.block.colorWire; break; - } - } - } - - return theme_id; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const bool is_edit = (draw_ctx->object_mode & OB_MODE_EDIT) && (ob->mode & OB_MODE_EDIT); + const bool active = (view_layer->basact && view_layer->basact->object == ob); + /* confusing logic here, there are 2 methods of setting the color + * 'colortab[colindex]' and 'theme_id', colindex overrides theme_id. + * + * note: no theme yet for 'colindex' */ + int theme_id = is_edit ? TH_WIRE_EDIT : TH_WIRE; + + if (is_edit) { + /* fallback to TH_WIRE */ + } + else if (((G.moving & G_TRANSFORM_OBJ) != 0) && ((ob->base_flag & BASE_SELECTED) != 0)) { + theme_id = TH_TRANSFORM; + } + else { + /* Sets the 'theme_id' or fallback to wire */ + if ((ob->base_flag & BASE_SELECTED) != 0) { + theme_id = (active) ? TH_ACTIVE : TH_SELECT; + } + else { + if (ob->type == OB_LAMP) { + theme_id = TH_LIGHT; + } + else if (ob->type == OB_SPEAKER) { + theme_id = TH_SPEAKER; + } + else if (ob->type == OB_CAMERA) { + theme_id = TH_CAMERA; + } + else if (ob->type == OB_EMPTY) { + theme_id = TH_EMPTY; + } + else if (ob->type == OB_LIGHTPROBE) { + theme_id = TH_EMPTY; + } /* TODO add lightprobe color */ + /* fallback to TH_WIRE */ + } + } + + if (r_color != NULL) { + if (UNLIKELY(ob->base_flag & BASE_FROM_SET)) { + *r_color = G_draw.block.colorDupli; + } + else if (UNLIKELY(ob->base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + *r_color = G_draw.block.colorDupliSelect; + break; + case TH_TRANSFORM: + *r_color = G_draw.block.colorTransform; + break; + default: + *r_color = G_draw.block.colorDupli; + break; + } + } + else { + switch (theme_id) { + case TH_WIRE_EDIT: + *r_color = G_draw.block.colorWireEdit; + break; + case TH_ACTIVE: + *r_color = G_draw.block.colorActive; + break; + case TH_SELECT: + *r_color = G_draw.block.colorSelect; + break; + case TH_TRANSFORM: + *r_color = G_draw.block.colorTransform; + break; + case TH_SPEAKER: + *r_color = G_draw.block.colorSpeaker; + break; + case TH_CAMERA: + *r_color = G_draw.block.colorCamera; + break; + case TH_EMPTY: + *r_color = G_draw.block.colorEmpty; + break; + case TH_LIGHT: + *r_color = G_draw.block.colorLight; + break; + default: + *r_color = G_draw.block.colorWire; + break; + } + } + } + + return theme_id; } /* XXX This is very stupid, better find something more general. */ float *DRW_color_background_blend_get(int theme_id) { - static float colors[11][4]; - float *ret; - - switch (theme_id) { - case TH_WIRE_EDIT: ret = colors[0]; break; - case TH_ACTIVE: ret = colors[1]; break; - case TH_SELECT: ret = colors[2]; break; - case TH_TRANSFORM: ret = colors[5]; break; - case TH_SPEAKER: ret = colors[6]; break; - case TH_CAMERA: ret = colors[7]; break; - case TH_EMPTY: ret = colors[8]; break; - case TH_LIGHT: ret = colors[9]; break; - default: ret = colors[10]; break; - } - - UI_GetThemeColorBlendShade4fv(theme_id, TH_BACK, 0.5, 0, ret); - - return ret; + static float colors[11][4]; + float *ret; + + switch (theme_id) { + case TH_WIRE_EDIT: + ret = colors[0]; + break; + case TH_ACTIVE: + ret = colors[1]; + break; + case TH_SELECT: + ret = colors[2]; + break; + case TH_TRANSFORM: + ret = colors[5]; + break; + case TH_SPEAKER: + ret = colors[6]; + break; + case TH_CAMERA: + ret = colors[7]; + break; + case TH_EMPTY: + ret = colors[8]; + break; + case TH_LIGHT: + ret = colors[9]; + break; + default: + ret = colors[10]; + break; + } + + UI_GetThemeColorBlendShade4fv(theme_id, TH_BACK, 0.5, 0, ret); + + return ret; } - bool DRW_object_is_flat(Object *ob, int *axis) { - float dim[3]; - - if (!ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { - /* Non-meshes object cannot be considered as flat. */ - return false; - } - - BKE_object_dimensions_get(ob, dim); - if (dim[0] == 0.0f) { - *axis = 0; - return true; - } - else if (dim[1] == 0.0f) { - *axis = 1; - return true; - } - else if (dim[2] == 0.0f) { - *axis = 2; - return true; - } - return false; + float dim[3]; + + if (!ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, OB_MBALL)) { + /* Non-meshes object cannot be considered as flat. */ + return false; + } + + BKE_object_dimensions_get(ob, dim); + if (dim[0] == 0.0f) { + *axis = 0; + return true; + } + else if (dim[1] == 0.0f) { + *axis = 1; + return true; + } + else if (dim[2] == 0.0f) { + *axis = 2; + return true; + } + return false; } bool DRW_object_axis_orthogonal_to_view(Object *ob, int axis) { - float ob_rot[3][3], invviewmat[4][4]; - DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); - BKE_object_rot_to_mat3(ob, ob_rot, true); - float dot = dot_v3v3(ob_rot[axis], invviewmat[2]); - if (fabsf(dot) < 1e-3) { - return true; - } - - return false; + float ob_rot[3][3], invviewmat[4][4]; + DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); + BKE_object_rot_to_mat3(ob, ob_rot, true); + float dot = dot_v3v3(ob_rot[axis], invviewmat[2]); + if (fabsf(dot) < 1e-3) { + return true; + } + + return false; } static void DRW_evaluate_weight_to_color(const float weight, float result[4]) { - if (U.flag & USER_CUSTOM_RANGE) { - BKE_colorband_evaluate(&U.coba_weight, weight, result); - } - else { - /* Use gamma correction to even out the color bands: - * increasing widens yellow/cyan vs red/green/blue. - * Gamma 1.0 produces the original 2.79 color ramp. */ - const float gamma = 1.5f; - float hsv[3] = {(2.0f / 3.0f) * (1.0f - weight), 1.0f, pow(0.5f + 0.5f * weight, gamma)}; - - hsv_to_rgb_v(hsv, result); - - for (int i = 0; i < 3; i++) { - result[i] = pow(result[i], 1.0f / gamma); - } - } + if (U.flag & USER_CUSTOM_RANGE) { + BKE_colorband_evaluate(&U.coba_weight, weight, result); + } + else { + /* Use gamma correction to even out the color bands: + * increasing widens yellow/cyan vs red/green/blue. + * Gamma 1.0 produces the original 2.79 color ramp. */ + const float gamma = 1.5f; + float hsv[3] = {(2.0f / 3.0f) * (1.0f - weight), 1.0f, pow(0.5f + 0.5f * weight, gamma)}; + + hsv_to_rgb_v(hsv, result); + + for (int i = 0; i < 3; i++) { + result[i] = pow(result[i], 1.0f / gamma); + } + } } static GPUTexture *DRW_create_weight_colorramp_texture(void) { - char error[256]; - float pixels[256][4]; - for (int i = 0 ; i < 256 ; i ++) { - DRW_evaluate_weight_to_color(i / 255.0f, pixels[i]); - pixels[i][3] = 1.0f; - } - - return GPU_texture_create_1d(256, GPU_RGBA8, pixels[0], error); + char error[256]; + float pixels[256][4]; + for (int i = 0; i < 256; i++) { + DRW_evaluate_weight_to_color(i / 255.0f, pixels[i]); + pixels[i][3] = 1.0f; + } + + return GPU_texture_create_1d(256, GPU_RGBA8, pixels[0], error); } diff --git a/source/blender/draw/intern/draw_common.h b/source/blender/draw/intern/draw_common.h index f6ebfcab788..db8f8d46e85 100644 --- a/source/blender/draw/intern/draw_common.h +++ b/source/blender/draw/intern/draw_common.h @@ -40,81 +40,81 @@ struct ViewLayer; /* Keep in sync with: common_globals_lib.glsl (globalsBlock) */ /* NOTE! Also keep all color as vec4 and between UBO_FIRST_COLOR and UBO_LAST_COLOR */ typedef struct GlobalsUboStorage { - /* UBOs data needs to be 16 byte aligned (size of vec4) */ - float colorWire[4]; - float colorWireEdit[4]; - float colorActive[4]; - float colorSelect[4]; - float colorDupliSelect[4]; - float colorDupli[4]; - float colorLibrarySelect[4]; - float colorLibrary[4]; - float colorTransform[4]; - float colorLight[4]; - float colorSpeaker[4]; - float colorCamera[4]; - float colorEmpty[4]; - float colorVertex[4]; - float colorVertexSelect[4]; - float colorVertexUnreferenced[4]; - float colorVertexMissingData[4]; - float colorEditMeshActive[4]; - float colorEdgeSelect[4]; - float colorEdgeSeam[4]; - float colorEdgeSharp[4]; - float colorEdgeCrease[4]; - float colorEdgeBWeight[4]; - float colorEdgeFaceSelect[4]; - float colorEdgeFreestyle[4]; - float colorFace[4]; - float colorFaceSelect[4]; - float colorFaceFreestyle[4]; - float colorNormal[4]; - float colorVNormal[4]; - float colorLNormal[4]; - float colorFaceDot[4]; - - float colorDeselect[4]; - float colorOutline[4]; - float colorLightNoAlpha[4]; - - float colorBackground[4]; - float colorEditMeshMiddle[4]; - - float colorHandleFree[4]; - float colorHandleAuto[4]; - float colorHandleVect[4]; - float colorHandleAlign[4]; - float colorHandleAutoclamp[4]; - float colorHandleSelFree[4]; - float colorHandleSelAuto[4]; - float colorHandleSelVect[4]; - float colorHandleSelAlign[4]; - float colorHandleSelAutoclamp[4]; - float colorNurbUline[4]; - float colorNurbVline[4]; - float colorNurbSelUline[4]; - float colorNurbSelVline[4]; - float colorActiveSpline[4]; - - float colorBonePose[4]; - - float colorCurrentFrame[4]; - - float colorGrid[4]; - float colorGridEmphasise[4]; - float colorGridAxisX[4]; - float colorGridAxisY[4]; - float colorGridAxisZ[4]; - - /* NOTE! Put all color before UBO_LAST_COLOR */ - - /* Pack individual float at the end of the buffer to avoid alignment errors */ - float sizeLightCenter, sizeLightCircle, sizeLightCircleShadow; - float sizeVertex, sizeEdge, sizeEdgeFix, sizeFaceDot; - float gridDistance, gridResolution, gridSubdivisions, gridScale; - - float pad_globalsBlock; + /* UBOs data needs to be 16 byte aligned (size of vec4) */ + float colorWire[4]; + float colorWireEdit[4]; + float colorActive[4]; + float colorSelect[4]; + float colorDupliSelect[4]; + float colorDupli[4]; + float colorLibrarySelect[4]; + float colorLibrary[4]; + float colorTransform[4]; + float colorLight[4]; + float colorSpeaker[4]; + float colorCamera[4]; + float colorEmpty[4]; + float colorVertex[4]; + float colorVertexSelect[4]; + float colorVertexUnreferenced[4]; + float colorVertexMissingData[4]; + float colorEditMeshActive[4]; + float colorEdgeSelect[4]; + float colorEdgeSeam[4]; + float colorEdgeSharp[4]; + float colorEdgeCrease[4]; + float colorEdgeBWeight[4]; + float colorEdgeFaceSelect[4]; + float colorEdgeFreestyle[4]; + float colorFace[4]; + float colorFaceSelect[4]; + float colorFaceFreestyle[4]; + float colorNormal[4]; + float colorVNormal[4]; + float colorLNormal[4]; + float colorFaceDot[4]; + + float colorDeselect[4]; + float colorOutline[4]; + float colorLightNoAlpha[4]; + + float colorBackground[4]; + float colorEditMeshMiddle[4]; + + float colorHandleFree[4]; + float colorHandleAuto[4]; + float colorHandleVect[4]; + float colorHandleAlign[4]; + float colorHandleAutoclamp[4]; + float colorHandleSelFree[4]; + float colorHandleSelAuto[4]; + float colorHandleSelVect[4]; + float colorHandleSelAlign[4]; + float colorHandleSelAutoclamp[4]; + float colorNurbUline[4]; + float colorNurbVline[4]; + float colorNurbSelUline[4]; + float colorNurbSelVline[4]; + float colorActiveSpline[4]; + + float colorBonePose[4]; + + float colorCurrentFrame[4]; + + float colorGrid[4]; + float colorGridEmphasise[4]; + float colorGridAxisX[4]; + float colorGridAxisY[4]; + float colorGridAxisZ[4]; + + /* NOTE! Put all color before UBO_LAST_COLOR */ + + /* Pack individual float at the end of the buffer to avoid alignment errors */ + float sizeLightCenter, sizeLightCircle, sizeLightCircleShadow; + float sizeVertex, sizeEdge, sizeEdgeFix, sizeFaceDot; + float gridDistance, gridResolution, gridSubdivisions, gridScale; + + float pad_globalsBlock; } GlobalsUboStorage; /* Keep in sync with globalsBlock in shaders */ BLI_STATIC_ASSERT_ALIGN(GlobalsUboStorage, 16) @@ -122,34 +122,78 @@ BLI_STATIC_ASSERT_ALIGN(GlobalsUboStorage, 16) void DRW_globals_update(void); void DRW_globals_free(void); -void DRW_shgroup_world_clip_planes_from_rv3d(struct DRWShadingGroup *shgrp, const RegionView3D *rv3d); +void DRW_shgroup_world_clip_planes_from_rv3d(struct DRWShadingGroup *shgrp, + const RegionView3D *rv3d); struct DRWShadingGroup *shgroup_dynlines_flat_color(struct DRWPass *pass, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_dynlines_dashed_uniform_color(struct DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_dynpoints_uniform_color(struct DRWPass *pass, const float color[4], const float *size, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_groundlines_uniform_color(struct DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_groundpoints_uniform_color(struct DRWPass *pass, const float color[4], eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_screenspace(struct DRWPass *pass, struct GPUBatch *geom, const float *size, eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_dynlines_dashed_uniform_color(struct DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_dynpoints_uniform_color(struct DRWPass *pass, + const float color[4], + const float *size, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_groundlines_uniform_color(struct DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_groundpoints_uniform_color(struct DRWPass *pass, + const float color[4], + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_screenspace(struct DRWPass *pass, + struct GPUBatch *geom, + const float *size, + eGPUShaderConfig sh_cfg); struct DRWShadingGroup *shgroup_instance_solid(struct DRWPass *pass, struct GPUBatch *geom); struct DRWShadingGroup *shgroup_instance_wire(struct DRWPass *pass, struct GPUBatch *geom); -struct DRWShadingGroup *shgroup_instance_screen_aligned(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_empty_axes(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_scaled(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_alpha(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_outline(struct DRWPass *pass, struct GPUBatch *geom, int *baseid); -struct DRWShadingGroup *shgroup_camera_instance(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_distance_lines_instance(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_spot_instance(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_mball_handles(struct DRWPass *pass, eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_screen_aligned(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_empty_axes(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_scaled(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_alpha(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_outline(struct DRWPass *pass, + struct GPUBatch *geom, + int *baseid); +struct DRWShadingGroup *shgroup_camera_instance(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_distance_lines_instance(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_spot_instance(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_mball_handles(struct DRWPass *pass, + eGPUShaderConfig sh_cfg); struct DRWShadingGroup *shgroup_instance_bone_axes(struct DRWPass *pass, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_envelope_distance(struct DRWPass *pass, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_envelope_outline(struct DRWPass *pass, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_envelope_solid(struct DRWPass *pass, bool transp, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_shape_outline(struct DRWPass *pass, struct GPUBatch *geom, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_shape_solid(struct DRWPass *pass, struct GPUBatch *geom, bool transp, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_sphere_outline(struct DRWPass *pass, eGPUShaderConfig sh_cfg); -struct DRWShadingGroup *shgroup_instance_bone_sphere_solid(struct DRWPass *pass, bool transp, eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_envelope_distance(struct DRWPass *pass, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_envelope_outline(struct DRWPass *pass, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_envelope_solid(struct DRWPass *pass, + bool transp, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_shape_outline(struct DRWPass *pass, + struct GPUBatch *geom, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_shape_solid(struct DRWPass *pass, + struct GPUBatch *geom, + bool transp, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_sphere_outline(struct DRWPass *pass, + eGPUShaderConfig sh_cfg); +struct DRWShadingGroup *shgroup_instance_bone_sphere_solid(struct DRWPass *pass, + bool transp, + eGPUShaderConfig sh_cfg); struct DRWShadingGroup *shgroup_instance_bone_stick(struct DRWPass *pass, eGPUShaderConfig sh_cfg); struct DRWShadingGroup *shgroup_instance_bone_dof(struct DRWPass *pass, struct GPUBatch *geom); @@ -158,8 +202,7 @@ struct GPUShader *mpath_points_shader_get(void); struct GPUShader *volume_velocity_shader_get(bool use_needle); -int DRW_object_wire_theme_get( - struct Object *ob, struct ViewLayer *view_layer, float **r_color); +int DRW_object_wire_theme_get(struct Object *ob, struct ViewLayer *view_layer, float **r_color); float *DRW_color_background_blend_get(int theme_id); bool DRW_object_is_flat(Object *ob, int *axis); @@ -167,15 +210,18 @@ bool DRW_object_axis_orthogonal_to_view(Object *ob, int axis); /* draw_armature.c */ typedef struct DRWArmaturePasses { - struct DRWPass *bone_solid; - struct DRWPass *bone_outline; - struct DRWPass *bone_wire; - struct DRWPass *bone_envelope; - struct DRWPass *bone_axes; - struct DRWPass *relationship_lines; + struct DRWPass *bone_solid; + struct DRWPass *bone_outline; + struct DRWPass *bone_wire; + struct DRWPass *bone_envelope; + struct DRWPass *bone_axes; + struct DRWPass *relationship_lines; } DRWArmaturePasses; -void DRW_shgroup_armature_object(struct Object *ob, struct ViewLayer *view_layer, struct DRWArmaturePasses passes, bool transp); +void DRW_shgroup_armature_object(struct Object *ob, + struct ViewLayer *view_layer, + struct DRWArmaturePasses passes, + bool transp); void DRW_shgroup_armature_pose(struct Object *ob, struct DRWArmaturePasses passes, bool transp); void DRW_shgroup_armature_edit(struct Object *ob, struct DRWArmaturePasses passes, bool transp); @@ -183,37 +229,38 @@ void DRW_shgroup_armature_edit(struct Object *ob, struct DRWArmaturePasses passe /* This creates a shading group with display hairs. * The draw call is already added by this function, just add additional uniforms. */ -struct DRWShadingGroup *DRW_shgroup_hair_create( - struct Object *object, struct ParticleSystem *psys, struct ModifierData *md, - struct DRWPass *hair_pass, - struct GPUShader *shader); - -struct DRWShadingGroup *DRW_shgroup_material_hair_create( - struct Object *object, struct ParticleSystem *psys, struct ModifierData *md, - struct DRWPass *hair_pass, - struct GPUMaterial *material); +struct DRWShadingGroup *DRW_shgroup_hair_create(struct Object *object, + struct ParticleSystem *psys, + struct ModifierData *md, + struct DRWPass *hair_pass, + struct GPUShader *shader); + +struct DRWShadingGroup *DRW_shgroup_material_hair_create(struct Object *object, + struct ParticleSystem *psys, + struct ModifierData *md, + struct DRWPass *hair_pass, + struct GPUMaterial *material); void DRW_hair_init(void); void DRW_hair_update(void); void DRW_hair_free(void); /* pose_mode.c */ -bool DRW_pose_mode_armature( - struct Object *ob, struct Object *active_ob); +bool DRW_pose_mode_armature(struct Object *ob, struct Object *active_ob); /* draw_common.c */ struct DRW_Global { - /** If needed, contains all global/Theme colors - * Add needed theme colors / values to DRW_globals_update() and update UBO - * Not needed for constant color. */ - GlobalsUboStorage block; - /** Define "globalsBlock" uniform for 'block'. */ - struct GPUUniformBuffer *block_ubo; + /** If needed, contains all global/Theme colors + * Add needed theme colors / values to DRW_globals_update() and update UBO + * Not needed for constant color. */ + GlobalsUboStorage block; + /** Define "globalsBlock" uniform for 'block'. */ + struct GPUUniformBuffer *block_ubo; - struct GPUTexture *ramp; - struct GPUTexture *weight_ramp; + struct GPUTexture *ramp; + struct GPUTexture *weight_ramp; - struct GPUUniformBuffer *view_ubo; + struct GPUUniformBuffer *view_ubo; }; extern struct DRW_Global G_draw; diff --git a/source/blender/draw/intern/draw_debug.c b/source/blender/draw/intern/draw_debug.c index 8c810f1a792..9681ffd9d3d 100644 --- a/source/blender/draw/intern/draw_debug.c +++ b/source/blender/draw/intern/draw_debug.c @@ -42,184 +42,185 @@ static float g_modelmat[4][4]; void DRW_debug_modelmat_reset(void) { - unit_m4(g_modelmat); + unit_m4(g_modelmat); } void DRW_debug_modelmat(const float modelmat[4][4]) { - copy_m4_m4(g_modelmat, modelmat); + copy_m4_m4(g_modelmat, modelmat); } void DRW_debug_line_v3v3(const float v1[3], const float v2[3], const float color[4]) { - DRWDebugLine *line = MEM_mallocN(sizeof(DRWDebugLine), "DRWDebugLine"); - mul_v3_m4v3(line->pos[0], g_modelmat, v1); - mul_v3_m4v3(line->pos[1], g_modelmat, v2); - copy_v4_v4(line->color, color); - BLI_LINKS_PREPEND(DST.debug.lines, line); + DRWDebugLine *line = MEM_mallocN(sizeof(DRWDebugLine), "DRWDebugLine"); + mul_v3_m4v3(line->pos[0], g_modelmat, v1); + mul_v3_m4v3(line->pos[1], g_modelmat, v2); + copy_v4_v4(line->color, color); + BLI_LINKS_PREPEND(DST.debug.lines, line); } void DRW_debug_polygon_v3(const float (*v)[3], const int vert_len, const float color[4]) { - BLI_assert(vert_len > 1); + BLI_assert(vert_len > 1); - for (int i = 0; i < vert_len; ++i) { - DRW_debug_line_v3v3(v[i], v[(i + 1) % vert_len], color); - } + for (int i = 0; i < vert_len; ++i) { + DRW_debug_line_v3v3(v[i], v[(i + 1) % vert_len], color); + } } /* NOTE: g_modelmat is still applied on top. */ void DRW_debug_m4(const float m[4][4]) { - float v0[3] = {0.0f, 0.0f, 0.0f}; - float v1[3] = {1.0f, 0.0f, 0.0f}; - float v2[3] = {0.0f, 1.0f, 0.0f}; - float v3[3] = {0.0f, 0.0f, 1.0f}; - - mul_m4_v3(m, v0); - mul_m4_v3(m, v1); - mul_m4_v3(m, v2); - mul_m4_v3(m, v3); - - DRW_debug_line_v3v3(v0, v1, (float[4]){1.0f, 0.0f, 0.0f, 1.0f}); - DRW_debug_line_v3v3(v0, v2, (float[4]){0.0f, 1.0f, 0.0f, 1.0f}); - DRW_debug_line_v3v3(v0, v3, (float[4]){0.0f, 0.0f, 1.0f, 1.0f}); + float v0[3] = {0.0f, 0.0f, 0.0f}; + float v1[3] = {1.0f, 0.0f, 0.0f}; + float v2[3] = {0.0f, 1.0f, 0.0f}; + float v3[3] = {0.0f, 0.0f, 1.0f}; + + mul_m4_v3(m, v0); + mul_m4_v3(m, v1); + mul_m4_v3(m, v2); + mul_m4_v3(m, v3); + + DRW_debug_line_v3v3(v0, v1, (float[4]){1.0f, 0.0f, 0.0f, 1.0f}); + DRW_debug_line_v3v3(v0, v2, (float[4]){0.0f, 1.0f, 0.0f, 1.0f}); + DRW_debug_line_v3v3(v0, v3, (float[4]){0.0f, 0.0f, 1.0f, 1.0f}); } void DRW_debug_bbox(const BoundBox *bbox, const float color[4]) { - DRW_debug_line_v3v3(bbox->vec[0], bbox->vec[1], color); - DRW_debug_line_v3v3(bbox->vec[1], bbox->vec[2], color); - DRW_debug_line_v3v3(bbox->vec[2], bbox->vec[3], color); - DRW_debug_line_v3v3(bbox->vec[3], bbox->vec[0], color); - - DRW_debug_line_v3v3(bbox->vec[4], bbox->vec[5], color); - DRW_debug_line_v3v3(bbox->vec[5], bbox->vec[6], color); - DRW_debug_line_v3v3(bbox->vec[6], bbox->vec[7], color); - DRW_debug_line_v3v3(bbox->vec[7], bbox->vec[4], color); - - DRW_debug_line_v3v3(bbox->vec[0], bbox->vec[4], color); - DRW_debug_line_v3v3(bbox->vec[1], bbox->vec[5], color); - DRW_debug_line_v3v3(bbox->vec[2], bbox->vec[6], color); - DRW_debug_line_v3v3(bbox->vec[3], bbox->vec[7], color); + DRW_debug_line_v3v3(bbox->vec[0], bbox->vec[1], color); + DRW_debug_line_v3v3(bbox->vec[1], bbox->vec[2], color); + DRW_debug_line_v3v3(bbox->vec[2], bbox->vec[3], color); + DRW_debug_line_v3v3(bbox->vec[3], bbox->vec[0], color); + + DRW_debug_line_v3v3(bbox->vec[4], bbox->vec[5], color); + DRW_debug_line_v3v3(bbox->vec[5], bbox->vec[6], color); + DRW_debug_line_v3v3(bbox->vec[6], bbox->vec[7], color); + DRW_debug_line_v3v3(bbox->vec[7], bbox->vec[4], color); + + DRW_debug_line_v3v3(bbox->vec[0], bbox->vec[4], color); + DRW_debug_line_v3v3(bbox->vec[1], bbox->vec[5], color); + DRW_debug_line_v3v3(bbox->vec[2], bbox->vec[6], color); + DRW_debug_line_v3v3(bbox->vec[3], bbox->vec[7], color); } void DRW_debug_m4_as_bbox(const float m[4][4], const float color[4], const bool invert) { - BoundBox bb; - const float min[3] = {-1.0f, -1.0f, -1.0f}, max[3] = {1.0f, 1.0f, 1.0f}; - float project_matrix[4][4]; - if (invert) { - invert_m4_m4(project_matrix, m); - } - else { - copy_m4_m4(project_matrix, m); - } - - BKE_boundbox_init_from_minmax(&bb, min, max); - for (int i = 0; i < 8; ++i) { - mul_project_m4_v3(project_matrix, bb.vec[i]); - } - DRW_debug_bbox(&bb, color); + BoundBox bb; + const float min[3] = {-1.0f, -1.0f, -1.0f}, max[3] = {1.0f, 1.0f, 1.0f}; + float project_matrix[4][4]; + if (invert) { + invert_m4_m4(project_matrix, m); + } + else { + copy_m4_m4(project_matrix, m); + } + + BKE_boundbox_init_from_minmax(&bb, min, max); + for (int i = 0; i < 8; ++i) { + mul_project_m4_v3(project_matrix, bb.vec[i]); + } + DRW_debug_bbox(&bb, color); } void DRW_debug_sphere(const float center[3], const float radius, const float color[4]) { - float size_mat[4][4]; - DRWDebugSphere *sphere = MEM_mallocN(sizeof(DRWDebugSphere), "DRWDebugSphere"); - /* Bake all transform into a Matrix4 */ - scale_m4_fl(size_mat, radius); - copy_m4_m4(sphere->mat, g_modelmat); - translate_m4(sphere->mat, center[0], center[1], center[2]); - mul_m4_m4m4(sphere->mat, sphere->mat, size_mat); - - copy_v4_v4(sphere->color, color); - BLI_LINKS_PREPEND(DST.debug.spheres, sphere); + float size_mat[4][4]; + DRWDebugSphere *sphere = MEM_mallocN(sizeof(DRWDebugSphere), "DRWDebugSphere"); + /* Bake all transform into a Matrix4 */ + scale_m4_fl(size_mat, radius); + copy_m4_m4(sphere->mat, g_modelmat); + translate_m4(sphere->mat, center[0], center[1], center[2]); + mul_m4_m4m4(sphere->mat, sphere->mat, size_mat); + + copy_v4_v4(sphere->color, color); + BLI_LINKS_PREPEND(DST.debug.spheres, sphere); } /* --------- Render --------- */ static void drw_debug_draw_lines(void) { - int count = BLI_linklist_count((LinkNode *)DST.debug.lines); + int count = BLI_linklist_count((LinkNode *)DST.debug.lines); - if (count == 0) { - return; - } + if (count == 0) { + return; + } - GPUVertFormat *vert_format = immVertexFormat(); - uint pos = GPU_vertformat_attr_add(vert_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - uint col = GPU_vertformat_attr_add(vert_format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); + GPUVertFormat *vert_format = immVertexFormat(); + uint pos = GPU_vertformat_attr_add(vert_format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + uint col = GPU_vertformat_attr_add(vert_format, "color", GPU_COMP_F32, 4, GPU_FETCH_FLOAT); - immBindBuiltinProgram(GPU_SHADER_3D_FLAT_COLOR); + immBindBuiltinProgram(GPU_SHADER_3D_FLAT_COLOR); - immBegin(GPU_PRIM_LINES, count * 2); + immBegin(GPU_PRIM_LINES, count * 2); - while (DST.debug.lines) { - void *next = DST.debug.lines->next; + while (DST.debug.lines) { + void *next = DST.debug.lines->next; - immAttr4fv(col, DST.debug.lines->color); - immVertex3fv(pos, DST.debug.lines->pos[0]); + immAttr4fv(col, DST.debug.lines->color); + immVertex3fv(pos, DST.debug.lines->pos[0]); - immAttr4fv(col, DST.debug.lines->color); - immVertex3fv(pos, DST.debug.lines->pos[1]); + immAttr4fv(col, DST.debug.lines->color); + immVertex3fv(pos, DST.debug.lines->pos[1]); - MEM_freeN(DST.debug.lines); - DST.debug.lines = next; - } - immEnd(); + MEM_freeN(DST.debug.lines); + DST.debug.lines = next; + } + immEnd(); - immUnbindProgram(); + immUnbindProgram(); } static void drw_debug_draw_spheres(void) { - int count = BLI_linklist_count((LinkNode *)DST.debug.spheres); + int count = BLI_linklist_count((LinkNode *)DST.debug.spheres); - if (count == 0) { - return; - } + if (count == 0) { + return; + } - float one = 1.0f; - GPUVertFormat vert_format = {0}; - uint mat = GPU_vertformat_attr_add(&vert_format, "InstanceModelMatrix", GPU_COMP_F32, 16, GPU_FETCH_FLOAT); - uint col = GPU_vertformat_attr_add(&vert_format, "color", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - uint siz = GPU_vertformat_attr_add(&vert_format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); + float one = 1.0f; + GPUVertFormat vert_format = {0}; + uint mat = GPU_vertformat_attr_add( + &vert_format, "InstanceModelMatrix", GPU_COMP_F32, 16, GPU_FETCH_FLOAT); + uint col = GPU_vertformat_attr_add(&vert_format, "color", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + uint siz = GPU_vertformat_attr_add(&vert_format, "size", GPU_COMP_F32, 1, GPU_FETCH_FLOAT); - GPUVertBuf *inst_vbo = GPU_vertbuf_create_with_format(&vert_format); + GPUVertBuf *inst_vbo = GPU_vertbuf_create_with_format(&vert_format); - GPU_vertbuf_data_alloc(inst_vbo, count); + GPU_vertbuf_data_alloc(inst_vbo, count); - int v = 0; - while (DST.debug.spheres) { - void *next = DST.debug.spheres->next; + int v = 0; + while (DST.debug.spheres) { + void *next = DST.debug.spheres->next; - GPU_vertbuf_attr_set(inst_vbo, mat, v, DST.debug.spheres->mat[0]); - GPU_vertbuf_attr_set(inst_vbo, col, v, DST.debug.spheres->color); - GPU_vertbuf_attr_set(inst_vbo, siz, v, &one); - v++; + GPU_vertbuf_attr_set(inst_vbo, mat, v, DST.debug.spheres->mat[0]); + GPU_vertbuf_attr_set(inst_vbo, col, v, DST.debug.spheres->color); + GPU_vertbuf_attr_set(inst_vbo, siz, v, &one); + v++; - MEM_freeN(DST.debug.spheres); - DST.debug.spheres = next; - } + MEM_freeN(DST.debug.spheres); + DST.debug.spheres = next; + } - GPUBatch *empty_sphere = DRW_cache_empty_sphere_get(); + GPUBatch *empty_sphere = DRW_cache_empty_sphere_get(); - GPUBatch *draw_batch = GPU_batch_create(GPU_PRIM_LINES, empty_sphere->verts[0], NULL); - GPU_batch_instbuf_set(draw_batch, inst_vbo, true); - GPU_batch_program_set_builtin(draw_batch, GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE); + GPUBatch *draw_batch = GPU_batch_create(GPU_PRIM_LINES, empty_sphere->verts[0], NULL); + GPU_batch_instbuf_set(draw_batch, inst_vbo, true); + GPU_batch_program_set_builtin(draw_batch, GPU_SHADER_INSTANCE_VARIYING_COLOR_VARIYING_SIZE); - GPU_batch_draw(draw_batch); - GPU_batch_discard(draw_batch); + GPU_batch_draw(draw_batch); + GPU_batch_discard(draw_batch); } void drw_debug_draw(void) { - drw_debug_draw_lines(); - drw_debug_draw_spheres(); + drw_debug_draw_lines(); + drw_debug_draw_spheres(); } void drw_debug_init(void) { - DRW_debug_modelmat_reset(); + DRW_debug_modelmat_reset(); } diff --git a/source/blender/draw/intern/draw_hair.c b/source/blender/draw/intern/draw_hair.c index 6c1e44ac8e7..b3081a44dfb 100644 --- a/source/blender/draw/intern/draw_hair.c +++ b/source/blender/draw/intern/draw_hair.c @@ -34,7 +34,6 @@ #include "BKE_anim.h" - #include "GPU_batch.h" #include "GPU_shader.h" @@ -45,16 +44,16 @@ #endif typedef enum ParticleRefineShader { - PART_REFINE_CATMULL_ROM = 0, - PART_REFINE_MAX_SHADER, + PART_REFINE_CATMULL_ROM = 0, + PART_REFINE_MAX_SHADER, } ParticleRefineShader; #ifndef USE_TRANSFORM_FEEDBACK typedef struct ParticleRefineCall { - struct ParticleRefineCall *next; - GPUVertBuf *vbo; - DRWShadingGroup *shgrp; - uint vert_len; + struct ParticleRefineCall *next; + GPUVertBuf *vbo; + DRWShadingGroup *shgrp; + uint vert_len; } ParticleRefineCall; static ParticleRefineCall *g_tf_calls = NULL; @@ -72,248 +71,258 @@ extern char datatoc_gpu_shader_3D_smooth_color_frag_glsl[]; static GPUShader *hair_refine_shader_get(ParticleRefineShader sh) { - if (g_refine_shaders[sh]) { - return g_refine_shaders[sh]; - } + if (g_refine_shaders[sh]) { + return g_refine_shaders[sh]; + } - char *vert_with_lib = BLI_string_joinN(datatoc_common_hair_lib_glsl, datatoc_common_hair_refine_vert_glsl); + char *vert_with_lib = BLI_string_joinN(datatoc_common_hair_lib_glsl, + datatoc_common_hair_refine_vert_glsl); #ifdef USE_TRANSFORM_FEEDBACK - const char *var_names[1] = {"finalColor"}; - g_refine_shaders[sh] = DRW_shader_create_with_transform_feedback(vert_with_lib, NULL, "#define HAIR_PHASE_SUBDIV\n", - GPU_SHADER_TFB_POINTS, var_names, 1); + const char *var_names[1] = {"finalColor"}; + g_refine_shaders[sh] = DRW_shader_create_with_transform_feedback( + vert_with_lib, NULL, "#define HAIR_PHASE_SUBDIV\n", GPU_SHADER_TFB_POINTS, var_names, 1); #else - g_refine_shaders[sh] = DRW_shader_create( - vert_with_lib, NULL, - datatoc_gpu_shader_3D_smooth_color_frag_glsl, - "#define HAIR_PHASE_SUBDIV\n" - "#define TF_WORKAROUND\n"); + g_refine_shaders[sh] = DRW_shader_create(vert_with_lib, + NULL, + datatoc_gpu_shader_3D_smooth_color_frag_glsl, + "#define HAIR_PHASE_SUBDIV\n" + "#define TF_WORKAROUND\n"); #endif - MEM_freeN(vert_with_lib); + MEM_freeN(vert_with_lib); - return g_refine_shaders[sh]; + return g_refine_shaders[sh]; } void DRW_hair_init(void) { #ifdef USE_TRANSFORM_FEEDBACK - g_tf_pass = DRW_pass_create("Update Hair Pass", DRW_STATE_TRANS_FEEDBACK); + g_tf_pass = DRW_pass_create("Update Hair Pass", DRW_STATE_TRANS_FEEDBACK); #else - g_tf_pass = DRW_pass_create("Update Hair Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_POINT); + g_tf_pass = DRW_pass_create("Update Hair Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_POINT); #endif } typedef struct DRWHairInstanceData { - DrawData dd; + DrawData dd; - float mat[4][4]; + float mat[4][4]; } DRWHairInstanceData; -static DRWShadingGroup *drw_shgroup_create_hair_procedural_ex( - Object *object, ParticleSystem *psys, ModifierData *md, - DRWPass *hair_pass, - struct GPUMaterial *gpu_mat, GPUShader *gpu_shader) +static DRWShadingGroup *drw_shgroup_create_hair_procedural_ex(Object *object, + ParticleSystem *psys, + ModifierData *md, + DRWPass *hair_pass, + struct GPUMaterial *gpu_mat, + GPUShader *gpu_shader) { - /* TODO(fclem): Pass the scene as parameter */ - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene = draw_ctx->scene; - static float unit_mat[4][4] = { - {1, 0, 0, 0}, - {0, 1, 0, 0}, - {0, 0, 1, 0}, - {0, 0, 0, 1}, - }; - float (*dupli_mat)[4]; - Object *dupli_parent = DRW_object_get_dupli_parent(object); - DupliObject *dupli_object = DRW_object_get_dupli(object); - - int subdiv = scene->r.hair_subdiv; - int thickness_res = (scene->r.hair_type == SCE_HAIR_SHAPE_STRAND) ? 1 : 2; - - ParticleHairCache *hair_cache; - ParticleSettings *part = psys->part; - bool need_ft_update = particles_ensure_procedural_data(object, psys, md, &hair_cache, subdiv, thickness_res); - - DRWShadingGroup *shgrp; - if (gpu_mat) { - shgrp = DRW_shgroup_material_create(gpu_mat, hair_pass); - } - else if (gpu_shader) { - shgrp = DRW_shgroup_create(gpu_shader, hair_pass); - } - else { - shgrp = NULL; - BLI_assert(0); - } - - /* TODO optimize this. Only bind the ones GPUMaterial needs. */ - for (int i = 0; i < hair_cache->num_uv_layers; ++i) { - for (int n = 0; n < MAX_LAYER_NAME_CT && hair_cache->uv_layer_names[i][n][0] != '\0'; ++n) { - DRW_shgroup_uniform_texture(shgrp, hair_cache->uv_layer_names[i][n], hair_cache->uv_tex[i]); - } - } - for (int i = 0; i < hair_cache->num_col_layers; ++i) { - for (int n = 0; n < MAX_LAYER_NAME_CT && hair_cache->col_layer_names[i][n][0] != '\0'; ++n) { - DRW_shgroup_uniform_texture(shgrp, hair_cache->col_layer_names[i][n], hair_cache->col_tex[i]); - } - } - - if ((dupli_parent != NULL) && (dupli_object != NULL)) { - DRWHairInstanceData *hair_inst_data = (DRWHairInstanceData *)DRW_drawdata_ensure( - &object->id, (DrawEngineType *)&drw_shgroup_create_hair_procedural_ex, - sizeof(DRWHairInstanceData), NULL, NULL); - dupli_mat = hair_inst_data->mat; - if (dupli_object->type & OB_DUPLICOLLECTION) { - copy_m4_m4(dupli_mat, dupli_parent->obmat); - } - else { - copy_m4_m4(dupli_mat, dupli_object->ob->obmat); - invert_m4(dupli_mat); - mul_m4_m4m4(dupli_mat, object->obmat, dupli_mat); - } - } - else { - dupli_mat = unit_mat; - } - - DRW_shgroup_uniform_texture(shgrp, "hairPointBuffer", hair_cache->final[subdiv].proc_tex); - DRW_shgroup_uniform_int(shgrp, "hairStrandsRes", &hair_cache->final[subdiv].strands_res, 1); - DRW_shgroup_uniform_int_copy(shgrp, "hairThicknessRes", thickness_res); - DRW_shgroup_uniform_float(shgrp, "hairRadShape", &part->shape, 1); - DRW_shgroup_uniform_mat4(shgrp, "hairDupliMatrix", dupli_mat); - DRW_shgroup_uniform_float_copy(shgrp, "hairRadRoot", part->rad_root * part->rad_scale * 0.5f); - DRW_shgroup_uniform_float_copy(shgrp, "hairRadTip", part->rad_tip * part->rad_scale * 0.5f); - DRW_shgroup_uniform_bool_copy(shgrp, "hairCloseTip", (part->shape_flag & PART_SHAPE_CLOSE_TIP) != 0); - /* TODO(fclem): Until we have a better way to cull the hair and render with orco, bypass culling test. */ - DRW_shgroup_call_object_add_no_cull(shgrp, hair_cache->final[subdiv].proc_hairs[thickness_res - 1], object); - - /* Transform Feedback subdiv. */ - if (need_ft_update) { - int final_points_len = hair_cache->final[subdiv].strands_res * hair_cache->strands_len; - GPUShader *tf_shader = hair_refine_shader_get(PART_REFINE_CATMULL_ROM); + /* TODO(fclem): Pass the scene as parameter */ + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene = draw_ctx->scene; + static float unit_mat[4][4] = { + {1, 0, 0, 0}, + {0, 1, 0, 0}, + {0, 0, 1, 0}, + {0, 0, 0, 1}, + }; + float(*dupli_mat)[4]; + Object *dupli_parent = DRW_object_get_dupli_parent(object); + DupliObject *dupli_object = DRW_object_get_dupli(object); + + int subdiv = scene->r.hair_subdiv; + int thickness_res = (scene->r.hair_type == SCE_HAIR_SHAPE_STRAND) ? 1 : 2; + + ParticleHairCache *hair_cache; + ParticleSettings *part = psys->part; + bool need_ft_update = particles_ensure_procedural_data( + object, psys, md, &hair_cache, subdiv, thickness_res); + + DRWShadingGroup *shgrp; + if (gpu_mat) { + shgrp = DRW_shgroup_material_create(gpu_mat, hair_pass); + } + else if (gpu_shader) { + shgrp = DRW_shgroup_create(gpu_shader, hair_pass); + } + else { + shgrp = NULL; + BLI_assert(0); + } + + /* TODO optimize this. Only bind the ones GPUMaterial needs. */ + for (int i = 0; i < hair_cache->num_uv_layers; ++i) { + for (int n = 0; n < MAX_LAYER_NAME_CT && hair_cache->uv_layer_names[i][n][0] != '\0'; ++n) { + DRW_shgroup_uniform_texture(shgrp, hair_cache->uv_layer_names[i][n], hair_cache->uv_tex[i]); + } + } + for (int i = 0; i < hair_cache->num_col_layers; ++i) { + for (int n = 0; n < MAX_LAYER_NAME_CT && hair_cache->col_layer_names[i][n][0] != '\0'; ++n) { + DRW_shgroup_uniform_texture( + shgrp, hair_cache->col_layer_names[i][n], hair_cache->col_tex[i]); + } + } + + if ((dupli_parent != NULL) && (dupli_object != NULL)) { + DRWHairInstanceData *hair_inst_data = (DRWHairInstanceData *)DRW_drawdata_ensure( + &object->id, + (DrawEngineType *)&drw_shgroup_create_hair_procedural_ex, + sizeof(DRWHairInstanceData), + NULL, + NULL); + dupli_mat = hair_inst_data->mat; + if (dupli_object->type & OB_DUPLICOLLECTION) { + copy_m4_m4(dupli_mat, dupli_parent->obmat); + } + else { + copy_m4_m4(dupli_mat, dupli_object->ob->obmat); + invert_m4(dupli_mat); + mul_m4_m4m4(dupli_mat, object->obmat, dupli_mat); + } + } + else { + dupli_mat = unit_mat; + } + + DRW_shgroup_uniform_texture(shgrp, "hairPointBuffer", hair_cache->final[subdiv].proc_tex); + DRW_shgroup_uniform_int(shgrp, "hairStrandsRes", &hair_cache->final[subdiv].strands_res, 1); + DRW_shgroup_uniform_int_copy(shgrp, "hairThicknessRes", thickness_res); + DRW_shgroup_uniform_float(shgrp, "hairRadShape", &part->shape, 1); + DRW_shgroup_uniform_mat4(shgrp, "hairDupliMatrix", dupli_mat); + DRW_shgroup_uniform_float_copy(shgrp, "hairRadRoot", part->rad_root * part->rad_scale * 0.5f); + DRW_shgroup_uniform_float_copy(shgrp, "hairRadTip", part->rad_tip * part->rad_scale * 0.5f); + DRW_shgroup_uniform_bool_copy( + shgrp, "hairCloseTip", (part->shape_flag & PART_SHAPE_CLOSE_TIP) != 0); + /* TODO(fclem): Until we have a better way to cull the hair and render with orco, bypass culling test. */ + DRW_shgroup_call_object_add_no_cull( + shgrp, hair_cache->final[subdiv].proc_hairs[thickness_res - 1], object); + + /* Transform Feedback subdiv. */ + if (need_ft_update) { + int final_points_len = hair_cache->final[subdiv].strands_res * hair_cache->strands_len; + GPUShader *tf_shader = hair_refine_shader_get(PART_REFINE_CATMULL_ROM); #ifdef USE_TRANSFORM_FEEDBACK - DRWShadingGroup *tf_shgrp = DRW_shgroup_transform_feedback_create(tf_shader, g_tf_pass, - hair_cache->final[subdiv].proc_buf); + DRWShadingGroup *tf_shgrp = DRW_shgroup_transform_feedback_create( + tf_shader, g_tf_pass, hair_cache->final[subdiv].proc_buf); #else - DRWShadingGroup *tf_shgrp = DRW_shgroup_create(tf_shader, g_tf_pass); - - ParticleRefineCall *pr_call = MEM_mallocN(sizeof(*pr_call), __func__); - pr_call->next = g_tf_calls; - pr_call->vbo = hair_cache->final[subdiv].proc_buf; - pr_call->shgrp = tf_shgrp; - pr_call->vert_len = final_points_len; - g_tf_calls = pr_call; - DRW_shgroup_uniform_int(tf_shgrp, "targetHeight", &g_tf_target_height, 1); - DRW_shgroup_uniform_int(tf_shgrp, "targetWidth", &g_tf_target_width, 1); - DRW_shgroup_uniform_int(tf_shgrp, "idOffset", &g_tf_id_offset, 1); + DRWShadingGroup *tf_shgrp = DRW_shgroup_create(tf_shader, g_tf_pass); + + ParticleRefineCall *pr_call = MEM_mallocN(sizeof(*pr_call), __func__); + pr_call->next = g_tf_calls; + pr_call->vbo = hair_cache->final[subdiv].proc_buf; + pr_call->shgrp = tf_shgrp; + pr_call->vert_len = final_points_len; + g_tf_calls = pr_call; + DRW_shgroup_uniform_int(tf_shgrp, "targetHeight", &g_tf_target_height, 1); + DRW_shgroup_uniform_int(tf_shgrp, "targetWidth", &g_tf_target_width, 1); + DRW_shgroup_uniform_int(tf_shgrp, "idOffset", &g_tf_id_offset, 1); #endif - DRW_shgroup_uniform_texture(tf_shgrp, "hairPointBuffer", hair_cache->point_tex); - DRW_shgroup_uniform_texture(tf_shgrp, "hairStrandBuffer", hair_cache->strand_tex); - DRW_shgroup_uniform_texture(tf_shgrp, "hairStrandSegBuffer", hair_cache->strand_seg_tex); - DRW_shgroup_uniform_int(tf_shgrp, "hairStrandsRes", &hair_cache->final[subdiv].strands_res, 1); - DRW_shgroup_call_procedural_points_add(tf_shgrp, final_points_len, NULL); - } + DRW_shgroup_uniform_texture(tf_shgrp, "hairPointBuffer", hair_cache->point_tex); + DRW_shgroup_uniform_texture(tf_shgrp, "hairStrandBuffer", hair_cache->strand_tex); + DRW_shgroup_uniform_texture(tf_shgrp, "hairStrandSegBuffer", hair_cache->strand_seg_tex); + DRW_shgroup_uniform_int(tf_shgrp, "hairStrandsRes", &hair_cache->final[subdiv].strands_res, 1); + DRW_shgroup_call_procedural_points_add(tf_shgrp, final_points_len, NULL); + } - return shgrp; + return shgrp; } DRWShadingGroup *DRW_shgroup_hair_create( - Object *object, ParticleSystem *psys, ModifierData *md, - DRWPass *hair_pass, - GPUShader *shader) + Object *object, ParticleSystem *psys, ModifierData *md, DRWPass *hair_pass, GPUShader *shader) { - return drw_shgroup_create_hair_procedural_ex(object, psys, md, hair_pass, NULL, shader); + return drw_shgroup_create_hair_procedural_ex(object, psys, md, hair_pass, NULL, shader); } -DRWShadingGroup *DRW_shgroup_material_hair_create( - Object *object, ParticleSystem *psys, ModifierData *md, - DRWPass *hair_pass, - struct GPUMaterial *material) +DRWShadingGroup *DRW_shgroup_material_hair_create(Object *object, + ParticleSystem *psys, + ModifierData *md, + DRWPass *hair_pass, + struct GPUMaterial *material) { - return drw_shgroup_create_hair_procedural_ex(object, psys, md, hair_pass, material, NULL); + return drw_shgroup_create_hair_procedural_ex(object, psys, md, hair_pass, material, NULL); } void DRW_hair_update(void) { #ifndef USE_TRANSFORM_FEEDBACK - /** - * Workaround to tranform feedback not working on mac. - * On some system it crashes (see T58489) and on some other it renders garbage (see T60171). - * - * So instead of using transform feedback we render to a texture, - * readback the result to system memory and reupload as VBO data. - * It is really not ideal performance wise, but it is the simplest - * and the most local workaround that still uses the power of the GPU. - */ - - if (g_tf_calls == NULL) { - return; - } - - /* Search ideal buffer size. */ - uint max_size = 0; - for (ParticleRefineCall *pr_call = g_tf_calls; pr_call; pr_call = pr_call->next) { - max_size = max_ii(max_size, pr_call->vert_len); - } - - /* Create target Texture / Framebuffer */ - /* Don't use max size as it can be really heavy and fail. - * Do chunks of maximum 2048 * 2048 hair points. */ - int width = 2048; - int height = min_ii(width, 1 + max_size / width); - GPUTexture *tex = DRW_texture_pool_query_2d(width, height, GPU_RGBA32F, (void *)DRW_hair_update); - g_tf_target_height = height; - g_tf_target_width = width; - - GPUFrameBuffer *fb = NULL; - GPU_framebuffer_ensure_config(&fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(tex), - }); - - float *data = MEM_mallocN(sizeof(float) * 4 * width * height, "tf fallback buffer"); - - GPU_framebuffer_bind(fb); - while (g_tf_calls != NULL) { - ParticleRefineCall *pr_call = g_tf_calls; - g_tf_calls = g_tf_calls->next; - - g_tf_id_offset = 0; - while (pr_call->vert_len > 0) { - int max_read_px_len = min_ii(width * height, pr_call->vert_len); - - DRW_draw_pass_subset(g_tf_pass, pr_call->shgrp, pr_call->shgrp); - /* Readback result to main memory. */ - GPU_framebuffer_read_color(fb, 0, 0, width, height, 4, 0, data); - /* Upload back to VBO. */ - GPU_vertbuf_use(pr_call->vbo); - glBufferSubData(GL_ARRAY_BUFFER, - sizeof(float) * 4 * g_tf_id_offset, - sizeof(float) * 4 * max_read_px_len, - data); - - g_tf_id_offset += max_read_px_len; - pr_call->vert_len -= max_read_px_len; - } - - MEM_freeN(pr_call); - } - - MEM_freeN(data); - GPU_framebuffer_free(fb); + /** + * Workaround to tranform feedback not working on mac. + * On some system it crashes (see T58489) and on some other it renders garbage (see T60171). + * + * So instead of using transform feedback we render to a texture, + * readback the result to system memory and reupload as VBO data. + * It is really not ideal performance wise, but it is the simplest + * and the most local workaround that still uses the power of the GPU. + */ + + if (g_tf_calls == NULL) { + return; + } + + /* Search ideal buffer size. */ + uint max_size = 0; + for (ParticleRefineCall *pr_call = g_tf_calls; pr_call; pr_call = pr_call->next) { + max_size = max_ii(max_size, pr_call->vert_len); + } + + /* Create target Texture / Framebuffer */ + /* Don't use max size as it can be really heavy and fail. + * Do chunks of maximum 2048 * 2048 hair points. */ + int width = 2048; + int height = min_ii(width, 1 + max_size / width); + GPUTexture *tex = DRW_texture_pool_query_2d(width, height, GPU_RGBA32F, (void *)DRW_hair_update); + g_tf_target_height = height; + g_tf_target_width = width; + + GPUFrameBuffer *fb = NULL; + GPU_framebuffer_ensure_config(&fb, + { + GPU_ATTACHMENT_NONE, + GPU_ATTACHMENT_TEXTURE(tex), + }); + + float *data = MEM_mallocN(sizeof(float) * 4 * width * height, "tf fallback buffer"); + + GPU_framebuffer_bind(fb); + while (g_tf_calls != NULL) { + ParticleRefineCall *pr_call = g_tf_calls; + g_tf_calls = g_tf_calls->next; + + g_tf_id_offset = 0; + while (pr_call->vert_len > 0) { + int max_read_px_len = min_ii(width * height, pr_call->vert_len); + + DRW_draw_pass_subset(g_tf_pass, pr_call->shgrp, pr_call->shgrp); + /* Readback result to main memory. */ + GPU_framebuffer_read_color(fb, 0, 0, width, height, 4, 0, data); + /* Upload back to VBO. */ + GPU_vertbuf_use(pr_call->vbo); + glBufferSubData(GL_ARRAY_BUFFER, + sizeof(float) * 4 * g_tf_id_offset, + sizeof(float) * 4 * max_read_px_len, + data); + + g_tf_id_offset += max_read_px_len; + pr_call->vert_len -= max_read_px_len; + } + + MEM_freeN(pr_call); + } + + MEM_freeN(data); + GPU_framebuffer_free(fb); #else - /* TODO(fclem): replace by compute shader. */ - /* Just render using transform feedback. */ - DRW_draw_pass(g_tf_pass); + /* TODO(fclem): replace by compute shader. */ + /* Just render using transform feedback. */ + DRW_draw_pass(g_tf_pass); #endif } void DRW_hair_free(void) { - for (int i = 0; i < PART_REFINE_MAX_SHADER; ++i) { - DRW_SHADER_FREE_SAFE(g_refine_shaders[i]); - } + for (int i = 0; i < PART_REFINE_MAX_SHADER; ++i) { + DRW_SHADER_FREE_SAFE(g_refine_shaders[i]); + } } diff --git a/source/blender/draw/intern/draw_hair_private.h b/source/blender/draw/intern/draw_hair_private.h index 8f7cb1fe949..72c89832d3d 100644 --- a/source/blender/draw/intern/draw_hair_private.h +++ b/source/blender/draw/intern/draw_hair_private.h @@ -24,10 +24,10 @@ #ifndef __DRAW_HAIR_PRIVATE_H__ #define __DRAW_HAIR_PRIVATE_H__ -#define MAX_LAYER_NAME_CT 3 /* u0123456789, u, a0123456789 */ -#define MAX_LAYER_NAME_LEN DECIMAL_DIGITS_BOUND(uint) + 2 -#define MAX_THICKRES 2 /* see eHairType */ -#define MAX_HAIR_SUBDIV 4 /* see hair_subdiv rna */ +#define MAX_LAYER_NAME_CT 3 /* u0123456789, u, a0123456789 */ +#define MAX_LAYER_NAME_LEN DECIMAL_DIGITS_BOUND(uint) + 2 +#define MAX_THICKRES 2 /* see eHairType */ +#define MAX_HAIR_SUBDIV 4 /* see hair_subdiv rna */ struct ModifierData; struct Object; @@ -35,56 +35,55 @@ struct ParticleHairCache; struct ParticleSystem; typedef struct ParticleHairFinalCache { - /* Output of the subdivision stage: vertex buff sized to subdiv level. */ - GPUVertBuf *proc_buf; - GPUTexture *proc_tex; + /* Output of the subdivision stage: vertex buff sized to subdiv level. */ + GPUVertBuf *proc_buf; + GPUTexture *proc_tex; - /* Just contains a huge index buffer used to draw the final hair. */ - GPUBatch *proc_hairs[MAX_THICKRES]; + /* Just contains a huge index buffer used to draw the final hair. */ + GPUBatch *proc_hairs[MAX_THICKRES]; - int strands_res; /* points per hair, at least 2 */ + int strands_res; /* points per hair, at least 2 */ } ParticleHairFinalCache; typedef struct ParticleHairCache { - GPUVertBuf *pos; - GPUIndexBuf *indices; - GPUBatch *hairs; + GPUVertBuf *pos; + GPUIndexBuf *indices; + GPUBatch *hairs; - /* Hair Procedural display: Interpolation is done on the GPU. */ - GPUVertBuf *proc_point_buf; /* Input control points */ - GPUTexture *point_tex; + /* Hair Procedural display: Interpolation is done on the GPU. */ + GPUVertBuf *proc_point_buf; /* Input control points */ + GPUTexture *point_tex; - /** Infos of control points strands (segment count and base index) */ - GPUVertBuf *proc_strand_buf; - GPUTexture *strand_tex; + /** Infos of control points strands (segment count and base index) */ + GPUVertBuf *proc_strand_buf; + GPUTexture *strand_tex; - GPUVertBuf *proc_strand_seg_buf; - GPUTexture *strand_seg_tex; + GPUVertBuf *proc_strand_seg_buf; + GPUTexture *strand_seg_tex; - GPUVertBuf *proc_uv_buf[MAX_MTFACE]; - GPUTexture *uv_tex[MAX_MTFACE]; - char uv_layer_names[MAX_MTFACE][MAX_LAYER_NAME_CT][MAX_LAYER_NAME_LEN]; + GPUVertBuf *proc_uv_buf[MAX_MTFACE]; + GPUTexture *uv_tex[MAX_MTFACE]; + char uv_layer_names[MAX_MTFACE][MAX_LAYER_NAME_CT][MAX_LAYER_NAME_LEN]; - GPUVertBuf *proc_col_buf[MAX_MCOL]; - GPUTexture *col_tex[MAX_MCOL]; - char col_layer_names[MAX_MCOL][MAX_LAYER_NAME_CT][MAX_LAYER_NAME_LEN]; + GPUVertBuf *proc_col_buf[MAX_MCOL]; + GPUTexture *col_tex[MAX_MCOL]; + char col_layer_names[MAX_MCOL][MAX_LAYER_NAME_CT][MAX_LAYER_NAME_LEN]; - int num_uv_layers; - int num_col_layers; + int num_uv_layers; + int num_col_layers; - ParticleHairFinalCache final[MAX_HAIR_SUBDIV]; + ParticleHairFinalCache final[MAX_HAIR_SUBDIV]; - int strands_len; - int elems_len; - int point_len; + int strands_len; + int elems_len; + int point_len; } ParticleHairCache; -bool particles_ensure_procedural_data( - struct Object *object, - struct ParticleSystem *psys, - struct ModifierData *md, - struct ParticleHairCache **r_hair_cache, - int subdiv, - int thickness_res); +bool particles_ensure_procedural_data(struct Object *object, + struct ParticleSystem *psys, + struct ModifierData *md, + struct ParticleHairCache **r_hair_cache, + int subdiv, + int thickness_res); #endif /* __DRAW_HAIR_PRIVATE_H__ */ diff --git a/source/blender/draw/intern/draw_instance_data.c b/source/blender/draw/intern/draw_instance_data.c index 718518643e0..27e03a3495a 100644 --- a/source/blender/draw/intern/draw_instance_data.c +++ b/source/blender/draw/intern/draw_instance_data.c @@ -41,44 +41,44 @@ #define BUFFER_VERTS_CHUNK 32 typedef struct DRWBatchingBuffer { - struct DRWShadingGroup *shgroup; /* Link back to the owning shGroup. Also tells if it's used */ - GPUVertFormat *format; /* Identifier. */ - GPUVertBuf *vert; /* GPUVertBuf contained in the GPUBatch. */ - GPUBatch *batch; /* GPUBatch containing the GPUVertBuf. */ + struct DRWShadingGroup *shgroup; /* Link back to the owning shGroup. Also tells if it's used */ + GPUVertFormat *format; /* Identifier. */ + GPUVertBuf *vert; /* GPUVertBuf contained in the GPUBatch. */ + GPUBatch *batch; /* GPUBatch containing the GPUVertBuf. */ } DRWBatchingBuffer; typedef struct DRWInstancingBuffer { - struct DRWShadingGroup *shgroup; /* Link back to the owning shGroup. Also tells if it's used */ - GPUVertFormat *format; /* Identifier. */ - GPUBatch *instance; /* Identifier. */ - GPUVertBuf *vert; /* GPUVertBuf contained in the GPUBatch. */ - GPUBatch *batch; /* GPUBatch containing the GPUVertBuf. */ + struct DRWShadingGroup *shgroup; /* Link back to the owning shGroup. Also tells if it's used */ + GPUVertFormat *format; /* Identifier. */ + GPUBatch *instance; /* Identifier. */ + GPUVertBuf *vert; /* GPUVertBuf contained in the GPUBatch. */ + GPUBatch *batch; /* GPUBatch containing the GPUVertBuf. */ } DRWInstancingBuffer; typedef struct DRWInstanceChunk { - size_t cursor; /* Offset to the next instance data. */ - size_t alloc_size; /* Number of DRWBatchingBuffer/Batches alloc'd in ibufs/btchs. */ - union { - DRWBatchingBuffer *bbufs; - DRWInstancingBuffer *ibufs; - }; + size_t cursor; /* Offset to the next instance data. */ + size_t alloc_size; /* Number of DRWBatchingBuffer/Batches alloc'd in ibufs/btchs. */ + union { + DRWBatchingBuffer *bbufs; + DRWInstancingBuffer *ibufs; + }; } DRWInstanceChunk; struct DRWInstanceData { - struct DRWInstanceData *next; - bool used; /* If this data is used or not. */ - size_t data_size; /* Size of one instance data. */ - BLI_mempool *mempool; + struct DRWInstanceData *next; + bool used; /* If this data is used or not. */ + size_t data_size; /* Size of one instance data. */ + BLI_mempool *mempool; }; struct DRWInstanceDataList { - struct DRWInstanceDataList *next, *prev; - /* Linked lists for all possible data pool size */ - DRWInstanceData *idata_head[MAX_INSTANCE_DATA_SIZE]; - DRWInstanceData *idata_tail[MAX_INSTANCE_DATA_SIZE]; + struct DRWInstanceDataList *next, *prev; + /* Linked lists for all possible data pool size */ + DRWInstanceData *idata_head[MAX_INSTANCE_DATA_SIZE]; + DRWInstanceData *idata_tail[MAX_INSTANCE_DATA_SIZE]; - DRWInstanceChunk instancing; - DRWInstanceChunk batching; + DRWInstanceChunk instancing; + DRWInstanceChunk batching; }; static ListBase g_idatalists = {NULL, NULL}; @@ -97,184 +97,192 @@ static ListBase g_idatalists = {NULL, NULL}; */ static void instance_batch_free(GPUBatch *batch, void *UNUSED(user_data)) { - if (batch->verts[0] == NULL) { - /** XXX This is a false positive case. - * The batch has been requested but not init yet - * and there is a chance that it might become init. - */ - return; - } - /* Free all batches that have the same key before they are reused. */ - /* TODO: Make it thread safe! Batch freeing can happen from another thread. */ - /* XXX we need to iterate over all idatalists unless we make some smart - * data structure to store the locations to update. */ - for (DRWInstanceDataList *idatalist = g_idatalists.first; idatalist; idatalist = idatalist->next) { - DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; - for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { - if (ibuf->instance == batch) { - BLI_assert(ibuf->shgroup == NULL); /* Make sure it has no other users. */ - GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); - GPU_BATCH_DISCARD_SAFE(ibuf->batch); - /* Tag as non alloced. */ - ibuf->format = NULL; - } - } - } + if (batch->verts[0] == NULL) { + /** XXX This is a false positive case. + * The batch has been requested but not init yet + * and there is a chance that it might become init. + */ + return; + } + /* Free all batches that have the same key before they are reused. */ + /* TODO: Make it thread safe! Batch freeing can happen from another thread. */ + /* XXX we need to iterate over all idatalists unless we make some smart + * data structure to store the locations to update. */ + for (DRWInstanceDataList *idatalist = g_idatalists.first; idatalist; + idatalist = idatalist->next) { + DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; + for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { + if (ibuf->instance == batch) { + BLI_assert(ibuf->shgroup == NULL); /* Make sure it has no other users. */ + GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); + GPU_BATCH_DISCARD_SAFE(ibuf->batch); + /* Tag as non alloced. */ + ibuf->format = NULL; + } + } + } } -void DRW_batching_buffer_request( - DRWInstanceDataList *idatalist, GPUVertFormat *format, GPUPrimType type, struct DRWShadingGroup *shgroup, - GPUBatch **r_batch, GPUVertBuf **r_vert) +void DRW_batching_buffer_request(DRWInstanceDataList *idatalist, + GPUVertFormat *format, + GPUPrimType type, + struct DRWShadingGroup *shgroup, + GPUBatch **r_batch, + GPUVertBuf **r_vert) { - DRWInstanceChunk *chunk = &idatalist->batching; - DRWBatchingBuffer *bbuf = idatalist->batching.bbufs; - BLI_assert(format); - /* Search for an unused batch. */ - for (int i = 0; i < idatalist->batching.alloc_size; i++, bbuf++) { - if (bbuf->shgroup == NULL) { - if (bbuf->format == format) { - bbuf->shgroup = shgroup; - *r_batch = bbuf->batch; - *r_vert = bbuf->vert; - return; - } - } - } - int new_id = 0; /* Find insertion point. */ - for (; new_id < chunk->alloc_size; ++new_id) { - if (chunk->bbufs[new_id].format == NULL) { - break; - } - } - /* If there is no batch left. Allocate more. */ - if (new_id == chunk->alloc_size) { - new_id = chunk->alloc_size; - chunk->alloc_size += BUFFER_CHUNK_SIZE; - chunk->bbufs = MEM_reallocN(chunk->bbufs, chunk->alloc_size * sizeof(DRWBatchingBuffer)); - memset(chunk->bbufs + new_id, 0, sizeof(DRWBatchingBuffer) * BUFFER_CHUNK_SIZE); - } - /* Create the batch. */ - bbuf = chunk->bbufs + new_id; - bbuf->vert = *r_vert = GPU_vertbuf_create_with_format_ex(format, GPU_USAGE_DYNAMIC); - bbuf->batch = *r_batch = GPU_batch_create_ex(type, bbuf->vert, NULL, 0); - bbuf->format = format; - bbuf->shgroup = shgroup; - GPU_vertbuf_data_alloc(*r_vert, BUFFER_VERTS_CHUNK); + DRWInstanceChunk *chunk = &idatalist->batching; + DRWBatchingBuffer *bbuf = idatalist->batching.bbufs; + BLI_assert(format); + /* Search for an unused batch. */ + for (int i = 0; i < idatalist->batching.alloc_size; i++, bbuf++) { + if (bbuf->shgroup == NULL) { + if (bbuf->format == format) { + bbuf->shgroup = shgroup; + *r_batch = bbuf->batch; + *r_vert = bbuf->vert; + return; + } + } + } + int new_id = 0; /* Find insertion point. */ + for (; new_id < chunk->alloc_size; ++new_id) { + if (chunk->bbufs[new_id].format == NULL) { + break; + } + } + /* If there is no batch left. Allocate more. */ + if (new_id == chunk->alloc_size) { + new_id = chunk->alloc_size; + chunk->alloc_size += BUFFER_CHUNK_SIZE; + chunk->bbufs = MEM_reallocN(chunk->bbufs, chunk->alloc_size * sizeof(DRWBatchingBuffer)); + memset(chunk->bbufs + new_id, 0, sizeof(DRWBatchingBuffer) * BUFFER_CHUNK_SIZE); + } + /* Create the batch. */ + bbuf = chunk->bbufs + new_id; + bbuf->vert = *r_vert = GPU_vertbuf_create_with_format_ex(format, GPU_USAGE_DYNAMIC); + bbuf->batch = *r_batch = GPU_batch_create_ex(type, bbuf->vert, NULL, 0); + bbuf->format = format; + bbuf->shgroup = shgroup; + GPU_vertbuf_data_alloc(*r_vert, BUFFER_VERTS_CHUNK); } -void DRW_instancing_buffer_request( - DRWInstanceDataList *idatalist, GPUVertFormat *format, GPUBatch *instance, struct DRWShadingGroup *shgroup, - GPUBatch **r_batch, GPUVertBuf **r_vert) +void DRW_instancing_buffer_request(DRWInstanceDataList *idatalist, + GPUVertFormat *format, + GPUBatch *instance, + struct DRWShadingGroup *shgroup, + GPUBatch **r_batch, + GPUVertBuf **r_vert) { - DRWInstanceChunk *chunk = &idatalist->instancing; - DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; - BLI_assert(format); - /* Search for an unused batch. */ - for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { - if (ibuf->shgroup == NULL) { - if (ibuf->format == format) { - if (ibuf->instance == instance) { - ibuf->shgroup = shgroup; - *r_batch = ibuf->batch; - *r_vert = ibuf->vert; - return; - } - } - } - } - int new_id = 0; /* Find insertion point. */ - for (; new_id < chunk->alloc_size; ++new_id) { - if (chunk->ibufs[new_id].format == NULL) { - break; - } - } - /* If there is no batch left. Allocate more. */ - if (new_id == chunk->alloc_size) { - new_id = chunk->alloc_size; - chunk->alloc_size += BUFFER_CHUNK_SIZE; - chunk->ibufs = MEM_reallocN(chunk->ibufs, chunk->alloc_size * sizeof(DRWInstancingBuffer)); - memset(chunk->ibufs + new_id, 0, sizeof(DRWInstancingBuffer) * BUFFER_CHUNK_SIZE); - } - /* Create the batch. */ - ibuf = chunk->ibufs + new_id; - ibuf->vert = *r_vert = GPU_vertbuf_create_with_format_ex(format, GPU_USAGE_DYNAMIC); - ibuf->batch = *r_batch = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); - ibuf->format = format; - ibuf->shgroup = shgroup; - ibuf->instance = instance; - GPU_vertbuf_data_alloc(*r_vert, BUFFER_VERTS_CHUNK); - /* Make sure to free this ibuf if the instance batch gets free. */ - GPU_batch_callback_free_set(instance, &instance_batch_free, NULL); + DRWInstanceChunk *chunk = &idatalist->instancing; + DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; + BLI_assert(format); + /* Search for an unused batch. */ + for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { + if (ibuf->shgroup == NULL) { + if (ibuf->format == format) { + if (ibuf->instance == instance) { + ibuf->shgroup = shgroup; + *r_batch = ibuf->batch; + *r_vert = ibuf->vert; + return; + } + } + } + } + int new_id = 0; /* Find insertion point. */ + for (; new_id < chunk->alloc_size; ++new_id) { + if (chunk->ibufs[new_id].format == NULL) { + break; + } + } + /* If there is no batch left. Allocate more. */ + if (new_id == chunk->alloc_size) { + new_id = chunk->alloc_size; + chunk->alloc_size += BUFFER_CHUNK_SIZE; + chunk->ibufs = MEM_reallocN(chunk->ibufs, chunk->alloc_size * sizeof(DRWInstancingBuffer)); + memset(chunk->ibufs + new_id, 0, sizeof(DRWInstancingBuffer) * BUFFER_CHUNK_SIZE); + } + /* Create the batch. */ + ibuf = chunk->ibufs + new_id; + ibuf->vert = *r_vert = GPU_vertbuf_create_with_format_ex(format, GPU_USAGE_DYNAMIC); + ibuf->batch = *r_batch = MEM_callocN(sizeof(GPUBatch), "GPUBatch"); + ibuf->format = format; + ibuf->shgroup = shgroup; + ibuf->instance = instance; + GPU_vertbuf_data_alloc(*r_vert, BUFFER_VERTS_CHUNK); + /* Make sure to free this ibuf if the instance batch gets free. */ + GPU_batch_callback_free_set(instance, &instance_batch_free, NULL); } void DRW_instance_buffer_finish(DRWInstanceDataList *idatalist) { - size_t realloc_size = 1; /* Avoid 0 size realloc. */ - /* Resize down buffers in use and send data to GPU & free unused buffers. */ - DRWInstanceChunk *batching = &idatalist->batching; - DRWBatchingBuffer *bbuf = batching->bbufs; - for (int i = 0; i < batching->alloc_size; i++, bbuf++) { - if (bbuf->shgroup != NULL) { - realloc_size = i + 1; - uint vert_len = DRW_shgroup_get_instance_count(bbuf->shgroup); - vert_len += (vert_len == 0) ? 1 : 0; /* Do not realloc to 0 size buffer */ - if (vert_len + BUFFER_VERTS_CHUNK <= bbuf->vert->vertex_len) { - uint size = vert_len + BUFFER_VERTS_CHUNK - 1; - size = size - size % BUFFER_VERTS_CHUNK; - GPU_vertbuf_data_resize(bbuf->vert, size); - } - GPU_vertbuf_use(bbuf->vert); /* Send data. */ - bbuf->shgroup = NULL; /* Set as non used for the next round. */ - } - else { - GPU_VERTBUF_DISCARD_SAFE(bbuf->vert); - GPU_BATCH_DISCARD_SAFE(bbuf->batch); - bbuf->format = NULL; /* Tag as non alloced. */ - } - } - /* Rounding up to nearest chunk size. */ - realloc_size += BUFFER_CHUNK_SIZE - 1; - realloc_size -= realloc_size % BUFFER_CHUNK_SIZE; - /* Resize down if necessary. */ - if (realloc_size < batching->alloc_size) { - batching->alloc_size = realloc_size; - batching->ibufs = MEM_reallocN(batching->ibufs, realloc_size * sizeof(DRWBatchingBuffer)); - } - - realloc_size = 1; - /* Resize down buffers in use and send data to GPU & free unused buffers. */ - DRWInstanceChunk *instancing = &idatalist->instancing; - DRWInstancingBuffer *ibuf = instancing->ibufs; - for (int i = 0; i < instancing->alloc_size; i++, ibuf++) { - if (ibuf->shgroup != NULL) { - realloc_size = i + 1; - uint vert_len = DRW_shgroup_get_instance_count(ibuf->shgroup); - vert_len += (vert_len == 0) ? 1 : 0; /* Do not realloc to 0 size buffer */ - if (vert_len + BUFFER_VERTS_CHUNK <= ibuf->vert->vertex_len) { - uint size = vert_len + BUFFER_VERTS_CHUNK - 1; - size = size - size % BUFFER_VERTS_CHUNK; - GPU_vertbuf_data_resize(ibuf->vert, size); - } - GPU_vertbuf_use(ibuf->vert); /* Send data. */ - /* Setup batch now that we are sure ibuf->instance is setup. */ - GPU_batch_copy(ibuf->batch, ibuf->instance); - GPU_batch_instbuf_set(ibuf->batch, ibuf->vert, false); - ibuf->shgroup = NULL; /* Set as non used for the next round. */ - } - else { - GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); - GPU_BATCH_DISCARD_SAFE(ibuf->batch); - ibuf->format = NULL; /* Tag as non alloced. */ - } - } - /* Rounding up to nearest chunk size. */ - realloc_size += BUFFER_CHUNK_SIZE - 1; - realloc_size -= realloc_size % BUFFER_CHUNK_SIZE; - /* Resize down if necessary. */ - if (realloc_size < instancing->alloc_size) { - instancing->alloc_size = realloc_size; - instancing->ibufs = MEM_reallocN(instancing->ibufs, realloc_size * sizeof(DRWInstancingBuffer)); - } + size_t realloc_size = 1; /* Avoid 0 size realloc. */ + /* Resize down buffers in use and send data to GPU & free unused buffers. */ + DRWInstanceChunk *batching = &idatalist->batching; + DRWBatchingBuffer *bbuf = batching->bbufs; + for (int i = 0; i < batching->alloc_size; i++, bbuf++) { + if (bbuf->shgroup != NULL) { + realloc_size = i + 1; + uint vert_len = DRW_shgroup_get_instance_count(bbuf->shgroup); + vert_len += (vert_len == 0) ? 1 : 0; /* Do not realloc to 0 size buffer */ + if (vert_len + BUFFER_VERTS_CHUNK <= bbuf->vert->vertex_len) { + uint size = vert_len + BUFFER_VERTS_CHUNK - 1; + size = size - size % BUFFER_VERTS_CHUNK; + GPU_vertbuf_data_resize(bbuf->vert, size); + } + GPU_vertbuf_use(bbuf->vert); /* Send data. */ + bbuf->shgroup = NULL; /* Set as non used for the next round. */ + } + else { + GPU_VERTBUF_DISCARD_SAFE(bbuf->vert); + GPU_BATCH_DISCARD_SAFE(bbuf->batch); + bbuf->format = NULL; /* Tag as non alloced. */ + } + } + /* Rounding up to nearest chunk size. */ + realloc_size += BUFFER_CHUNK_SIZE - 1; + realloc_size -= realloc_size % BUFFER_CHUNK_SIZE; + /* Resize down if necessary. */ + if (realloc_size < batching->alloc_size) { + batching->alloc_size = realloc_size; + batching->ibufs = MEM_reallocN(batching->ibufs, realloc_size * sizeof(DRWBatchingBuffer)); + } + + realloc_size = 1; + /* Resize down buffers in use and send data to GPU & free unused buffers. */ + DRWInstanceChunk *instancing = &idatalist->instancing; + DRWInstancingBuffer *ibuf = instancing->ibufs; + for (int i = 0; i < instancing->alloc_size; i++, ibuf++) { + if (ibuf->shgroup != NULL) { + realloc_size = i + 1; + uint vert_len = DRW_shgroup_get_instance_count(ibuf->shgroup); + vert_len += (vert_len == 0) ? 1 : 0; /* Do not realloc to 0 size buffer */ + if (vert_len + BUFFER_VERTS_CHUNK <= ibuf->vert->vertex_len) { + uint size = vert_len + BUFFER_VERTS_CHUNK - 1; + size = size - size % BUFFER_VERTS_CHUNK; + GPU_vertbuf_data_resize(ibuf->vert, size); + } + GPU_vertbuf_use(ibuf->vert); /* Send data. */ + /* Setup batch now that we are sure ibuf->instance is setup. */ + GPU_batch_copy(ibuf->batch, ibuf->instance); + GPU_batch_instbuf_set(ibuf->batch, ibuf->vert, false); + ibuf->shgroup = NULL; /* Set as non used for the next round. */ + } + else { + GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); + GPU_BATCH_DISCARD_SAFE(ibuf->batch); + ibuf->format = NULL; /* Tag as non alloced. */ + } + } + /* Rounding up to nearest chunk size. */ + realloc_size += BUFFER_CHUNK_SIZE - 1; + realloc_size -= realloc_size % BUFFER_CHUNK_SIZE; + /* Resize down if necessary. */ + if (realloc_size < instancing->alloc_size) { + instancing->alloc_size = realloc_size; + instancing->ibufs = MEM_reallocN(instancing->ibufs, + realloc_size * sizeof(DRWInstancingBuffer)); + } } /** \} */ @@ -285,29 +293,29 @@ void DRW_instance_buffer_finish(DRWInstanceDataList *idatalist) static DRWInstanceData *drw_instance_data_create(DRWInstanceDataList *idatalist, uint attr_size) { - DRWInstanceData *idata = MEM_callocN(sizeof(DRWInstanceData), "DRWInstanceData"); - idata->next = NULL; - idata->used = true; - idata->data_size = attr_size; - idata->mempool = BLI_mempool_create(sizeof(float) * idata->data_size, 0, 16, 0); - - BLI_assert(attr_size > 0); - - /* Push to linked list. */ - if (idatalist->idata_head[attr_size - 1] == NULL) { - idatalist->idata_head[attr_size - 1] = idata; - } - else { - idatalist->idata_tail[attr_size - 1]->next = idata; - } - idatalist->idata_tail[attr_size - 1] = idata; - - return idata; + DRWInstanceData *idata = MEM_callocN(sizeof(DRWInstanceData), "DRWInstanceData"); + idata->next = NULL; + idata->used = true; + idata->data_size = attr_size; + idata->mempool = BLI_mempool_create(sizeof(float) * idata->data_size, 0, 16, 0); + + BLI_assert(attr_size > 0); + + /* Push to linked list. */ + if (idatalist->idata_head[attr_size - 1] == NULL) { + idatalist->idata_head[attr_size - 1] = idata; + } + else { + idatalist->idata_tail[attr_size - 1]->next = idata; + } + idatalist->idata_tail[attr_size - 1] = idata; + + return idata; } static void DRW_instance_data_free(DRWInstanceData *idata) { - BLI_mempool_destroy(idata->mempool); + BLI_mempool_destroy(idata->mempool); } /** @@ -315,24 +323,24 @@ static void DRW_instance_data_free(DRWInstanceData *idata) */ void *DRW_instance_data_next(DRWInstanceData *idata) { - return BLI_mempool_alloc(idata->mempool); + return BLI_mempool_alloc(idata->mempool); } DRWInstanceData *DRW_instance_data_request(DRWInstanceDataList *idatalist, uint attr_size) { - BLI_assert(attr_size > 0 && attr_size <= MAX_INSTANCE_DATA_SIZE); + BLI_assert(attr_size > 0 && attr_size <= MAX_INSTANCE_DATA_SIZE); - DRWInstanceData *idata = idatalist->idata_head[attr_size - 1]; + DRWInstanceData *idata = idatalist->idata_head[attr_size - 1]; - /* Search for an unused data chunk. */ - for (; idata; idata = idata->next) { - if (idata->used == false) { - idata->used = true; - return idata; - } - } + /* Search for an unused data chunk. */ + for (; idata; idata = idata->next) { + if (idata->used == false) { + idata->used = true; + return idata; + } + } - return drw_instance_data_create(idatalist, attr_size); + return drw_instance_data_create(idatalist, attr_size); } /** \} */ @@ -343,98 +351,100 @@ DRWInstanceData *DRW_instance_data_request(DRWInstanceDataList *idatalist, uint DRWInstanceDataList *DRW_instance_data_list_create(void) { - DRWInstanceDataList *idatalist = MEM_callocN(sizeof(DRWInstanceDataList), "DRWInstanceDataList"); - idatalist->batching.bbufs = MEM_callocN(sizeof(DRWBatchingBuffer) * BUFFER_CHUNK_SIZE, "DRWBatchingBuffers"); - idatalist->batching.alloc_size = BUFFER_CHUNK_SIZE; - idatalist->instancing.ibufs = MEM_callocN(sizeof(DRWInstancingBuffer) * BUFFER_CHUNK_SIZE, "DRWInstancingBuffers"); - idatalist->instancing.alloc_size = BUFFER_CHUNK_SIZE; + DRWInstanceDataList *idatalist = MEM_callocN(sizeof(DRWInstanceDataList), "DRWInstanceDataList"); + idatalist->batching.bbufs = MEM_callocN(sizeof(DRWBatchingBuffer) * BUFFER_CHUNK_SIZE, + "DRWBatchingBuffers"); + idatalist->batching.alloc_size = BUFFER_CHUNK_SIZE; + idatalist->instancing.ibufs = MEM_callocN(sizeof(DRWInstancingBuffer) * BUFFER_CHUNK_SIZE, + "DRWInstancingBuffers"); + idatalist->instancing.alloc_size = BUFFER_CHUNK_SIZE; - BLI_addtail(&g_idatalists, idatalist); + BLI_addtail(&g_idatalists, idatalist); - return idatalist; + return idatalist; } void DRW_instance_data_list_free(DRWInstanceDataList *idatalist) { - DRWInstanceData *idata, *next_idata; - - for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { - for (idata = idatalist->idata_head[i]; idata; idata = next_idata) { - next_idata = idata->next; - DRW_instance_data_free(idata); - MEM_freeN(idata); - } - idatalist->idata_head[i] = NULL; - idatalist->idata_tail[i] = NULL; - } - - DRWBatchingBuffer *bbuf = idatalist->batching.bbufs; - for (int i = 0; i < idatalist->batching.alloc_size; i++, bbuf++) { - GPU_VERTBUF_DISCARD_SAFE(bbuf->vert); - GPU_BATCH_DISCARD_SAFE(bbuf->batch); - } - MEM_freeN(idatalist->batching.bbufs); - - DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; - for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { - GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); - GPU_BATCH_DISCARD_SAFE(ibuf->batch); - } - MEM_freeN(idatalist->instancing.ibufs); - - BLI_remlink(&g_idatalists, idatalist); + DRWInstanceData *idata, *next_idata; + + for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { + for (idata = idatalist->idata_head[i]; idata; idata = next_idata) { + next_idata = idata->next; + DRW_instance_data_free(idata); + MEM_freeN(idata); + } + idatalist->idata_head[i] = NULL; + idatalist->idata_tail[i] = NULL; + } + + DRWBatchingBuffer *bbuf = idatalist->batching.bbufs; + for (int i = 0; i < idatalist->batching.alloc_size; i++, bbuf++) { + GPU_VERTBUF_DISCARD_SAFE(bbuf->vert); + GPU_BATCH_DISCARD_SAFE(bbuf->batch); + } + MEM_freeN(idatalist->batching.bbufs); + + DRWInstancingBuffer *ibuf = idatalist->instancing.ibufs; + for (int i = 0; i < idatalist->instancing.alloc_size; i++, ibuf++) { + GPU_VERTBUF_DISCARD_SAFE(ibuf->vert); + GPU_BATCH_DISCARD_SAFE(ibuf->batch); + } + MEM_freeN(idatalist->instancing.ibufs); + + BLI_remlink(&g_idatalists, idatalist); } void DRW_instance_data_list_reset(DRWInstanceDataList *idatalist) { - DRWInstanceData *idata; + DRWInstanceData *idata; - for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { - for (idata = idatalist->idata_head[i]; idata; idata = idata->next) { - idata->used = false; - } - } + for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { + for (idata = idatalist->idata_head[i]; idata; idata = idata->next) { + idata->used = false; + } + } } void DRW_instance_data_list_free_unused(DRWInstanceDataList *idatalist) { - DRWInstanceData *idata, *next_idata; - - /* Remove unused data blocks and sanitize each list. */ - for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { - idatalist->idata_tail[i] = NULL; - for (idata = idatalist->idata_head[i]; idata; idata = next_idata) { - next_idata = idata->next; - if (idata->used == false) { - if (idatalist->idata_head[i] == idata) { - idatalist->idata_head[i] = next_idata; - } - else { - /* idatalist->idata_tail[i] is guaranteed not to be null in this case. */ - idatalist->idata_tail[i]->next = next_idata; - } - DRW_instance_data_free(idata); - MEM_freeN(idata); - } - else { - if (idatalist->idata_tail[i] != NULL) { - idatalist->idata_tail[i]->next = idata; - } - idatalist->idata_tail[i] = idata; - } - } - } + DRWInstanceData *idata, *next_idata; + + /* Remove unused data blocks and sanitize each list. */ + for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { + idatalist->idata_tail[i] = NULL; + for (idata = idatalist->idata_head[i]; idata; idata = next_idata) { + next_idata = idata->next; + if (idata->used == false) { + if (idatalist->idata_head[i] == idata) { + idatalist->idata_head[i] = next_idata; + } + else { + /* idatalist->idata_tail[i] is guaranteed not to be null in this case. */ + idatalist->idata_tail[i]->next = next_idata; + } + DRW_instance_data_free(idata); + MEM_freeN(idata); + } + else { + if (idatalist->idata_tail[i] != NULL) { + idatalist->idata_tail[i]->next = idata; + } + idatalist->idata_tail[i] = idata; + } + } + } } void DRW_instance_data_list_resize(DRWInstanceDataList *idatalist) { - DRWInstanceData *idata; + DRWInstanceData *idata; - for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { - for (idata = idatalist->idata_head[i]; idata; idata = idata->next) { - BLI_mempool_clear_ex(idata->mempool, BLI_mempool_len(idata->mempool)); - } - } + for (int i = 0; i < MAX_INSTANCE_DATA_SIZE; ++i) { + for (idata = idatalist->idata_head[i]; idata; idata = idata->next) { + BLI_mempool_clear_ex(idata->mempool, BLI_mempool_len(idata->mempool)); + } + } } /** \} */ diff --git a/source/blender/draw/intern/draw_instance_data.h b/source/blender/draw/intern/draw_instance_data.h index b6f3988dcef..ea5c6ac7bb2 100644 --- a/source/blender/draw/intern/draw_instance_data.h +++ b/source/blender/draw/intern/draw_instance_data.h @@ -36,15 +36,20 @@ typedef struct DRWInstanceDataList DRWInstanceDataList; struct DRWShadingGroup; void *DRW_instance_data_next(DRWInstanceData *idata); -DRWInstanceData *DRW_instance_data_request( - DRWInstanceDataList *idatalist, uint attr_size); - -void DRW_batching_buffer_request( - DRWInstanceDataList *idatalist, GPUVertFormat *format, GPUPrimType type, struct DRWShadingGroup *shgroup, - GPUBatch **r_batch, GPUVertBuf **r_vert); -void DRW_instancing_buffer_request( - DRWInstanceDataList *idatalist, GPUVertFormat *format, GPUBatch *instance, struct DRWShadingGroup *shgroup, - GPUBatch **r_batch, GPUVertBuf **r_vert); +DRWInstanceData *DRW_instance_data_request(DRWInstanceDataList *idatalist, uint attr_size); + +void DRW_batching_buffer_request(DRWInstanceDataList *idatalist, + GPUVertFormat *format, + GPUPrimType type, + struct DRWShadingGroup *shgroup, + GPUBatch **r_batch, + GPUVertBuf **r_vert); +void DRW_instancing_buffer_request(DRWInstanceDataList *idatalist, + GPUVertFormat *format, + GPUBatch *instance, + struct DRWShadingGroup *shgroup, + GPUBatch **r_batch, + GPUVertBuf **r_vert); /* Upload all instance data to the GPU as soon as possible. */ void DRW_instance_buffer_finish(DRWInstanceDataList *idatalist); diff --git a/source/blender/draw/intern/draw_manager.c b/source/blender/draw/intern/draw_manager.c index 699ac8d5b0b..9e078fd2774 100644 --- a/source/blender/draw/intern/draw_manager.c +++ b/source/blender/draw/intern/draw_manager.c @@ -99,18 +99,18 @@ static ListBase DRW_engines = {NULL, NULL}; static void drw_state_prepare_clean_for_draw(DRWManager *dst) { - memset(dst, 0x0, offsetof(DRWManager, gl_context)); + memset(dst, 0x0, offsetof(DRWManager, gl_context)); - /* Maybe not the best place for this. */ - if (!DST.uniform_names.buffer) { - DST.uniform_names.buffer = MEM_callocN(DRW_UNIFORM_BUFFER_NAME, "Name Buffer"); - DST.uniform_names.buffer_len = DRW_UNIFORM_BUFFER_NAME; - } - else if (DST.uniform_names.buffer_len > DRW_UNIFORM_BUFFER_NAME) { - DST.uniform_names.buffer = MEM_reallocN(DST.uniform_names.buffer, DRW_UNIFORM_BUFFER_NAME); - DST.uniform_names.buffer_len = DRW_UNIFORM_BUFFER_NAME; - } - DST.uniform_names.buffer_ofs = 0; + /* Maybe not the best place for this. */ + if (!DST.uniform_names.buffer) { + DST.uniform_names.buffer = MEM_callocN(DRW_UNIFORM_BUFFER_NAME, "Name Buffer"); + DST.uniform_names.buffer_len = DRW_UNIFORM_BUFFER_NAME; + } + else if (DST.uniform_names.buffer_len > DRW_UNIFORM_BUFFER_NAME) { + DST.uniform_names.buffer = MEM_reallocN(DST.uniform_names.buffer, DRW_UNIFORM_BUFFER_NAME); + DST.uniform_names.buffer_len = DRW_UNIFORM_BUFFER_NAME; + } + DST.uniform_names.buffer_ofs = 0; } /* This function is used to reset draw manager to a state @@ -120,7 +120,7 @@ static void drw_state_prepare_clean_for_draw(DRWManager *dst) #ifdef DEBUG static void drw_state_ensure_not_reused(DRWManager *dst) { - memset(dst, 0xff, offsetof(DRWManager, gl_context)); + memset(dst, 0xff, offsetof(DRWManager, gl_context)); } #endif @@ -128,50 +128,49 @@ static void drw_state_ensure_not_reused(DRWManager *dst) void DRW_draw_callbacks_pre_scene(void) { - RegionView3D *rv3d = DST.draw_ctx.rv3d; + RegionView3D *rv3d = DST.draw_ctx.rv3d; - GPU_matrix_projection_set(rv3d->winmat); - GPU_matrix_set(rv3d->viewmat); + GPU_matrix_projection_set(rv3d->winmat); + GPU_matrix_set(rv3d->viewmat); } void DRW_draw_callbacks_post_scene(void) { - RegionView3D *rv3d = DST.draw_ctx.rv3d; + RegionView3D *rv3d = DST.draw_ctx.rv3d; - GPU_matrix_projection_set(rv3d->winmat); - GPU_matrix_set(rv3d->viewmat); + GPU_matrix_projection_set(rv3d->winmat); + GPU_matrix_set(rv3d->viewmat); } struct DRWTextStore *DRW_text_cache_ensure(void) { - BLI_assert(DST.text_store_p); - if (*DST.text_store_p == NULL) { - *DST.text_store_p = DRW_text_cache_create(); - } - return *DST.text_store_p; + BLI_assert(DST.text_store_p); + if (*DST.text_store_p == NULL) { + *DST.text_store_p = DRW_text_cache_create(); + } + return *DST.text_store_p; } - /* -------------------------------------------------------------------- */ /** \name Settings * \{ */ bool DRW_object_is_renderable(const Object *ob) { - BLI_assert((ob->base_flag & BASE_VISIBLE) != 0); + BLI_assert((ob->base_flag & BASE_VISIBLE) != 0); - if (ob->type == OB_MESH) { - if ((ob == DST.draw_ctx.object_edit) || BKE_object_is_in_editmode(ob)) { - View3D *v3d = DST.draw_ctx.v3d; - const int mask = (V3D_OVERLAY_EDIT_OCCLUDE_WIRE | V3D_OVERLAY_EDIT_WEIGHT); + if (ob->type == OB_MESH) { + if ((ob == DST.draw_ctx.object_edit) || BKE_object_is_in_editmode(ob)) { + View3D *v3d = DST.draw_ctx.v3d; + const int mask = (V3D_OVERLAY_EDIT_OCCLUDE_WIRE | V3D_OVERLAY_EDIT_WEIGHT); - if (v3d && v3d->overlay.edit_flag & mask) { - return false; - } - } - } + if (v3d && v3d->overlay.edit_flag & mask) { + return false; + } + } + } - return true; + return true; } /** @@ -180,87 +179,80 @@ bool DRW_object_is_renderable(const Object *ob) */ int DRW_object_visibility_in_active_context(const Object *ob) { - const eEvaluationMode mode = DRW_state_is_scene_render() ? - DAG_EVAL_RENDER : - DAG_EVAL_VIEWPORT; - return BKE_object_visibility(ob, mode); + const eEvaluationMode mode = DRW_state_is_scene_render() ? DAG_EVAL_RENDER : DAG_EVAL_VIEWPORT; + return BKE_object_visibility(ob, mode); } bool DRW_object_is_flat_normal(const Object *ob) { - if (ob->type == OB_MESH) { - const Mesh *me = ob->data; - if (me->mpoly && me->mpoly[0].flag & ME_SMOOTH) { - return false; - } - } - return true; + if (ob->type == OB_MESH) { + const Mesh *me = ob->data; + if (me->mpoly && me->mpoly[0].flag & ME_SMOOTH) { + return false; + } + } + return true; } bool DRW_object_use_hide_faces(const struct Object *ob) { - if (ob->type == OB_MESH) { - const Mesh *me = ob->data; - - switch (ob->mode) { - case OB_MODE_TEXTURE_PAINT: - return (me->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; - case OB_MODE_VERTEX_PAINT: - case OB_MODE_WEIGHT_PAINT: - return (me->editflag & (ME_EDIT_PAINT_FACE_SEL | ME_EDIT_PAINT_VERT_SEL)) != 0; - } - } - - return false; -} - -bool DRW_object_is_visible_psys_in_active_context( - const Object *object, - const ParticleSystem *psys) -{ - const bool for_render = DRW_state_is_image_render(); - /* NOTE: psys_check_enabled is using object and particle system for only - * reading, but is using some other functions which are more generic and - * which are hard to make const-pointer. */ - if (!psys_check_enabled((Object *)object, (ParticleSystem *)psys, for_render)) { - return false; - } - const DRWContextState *draw_ctx = DRW_context_state_get(); - const Scene *scene = draw_ctx->scene; - if (object == draw_ctx->object_edit) { - return false; - } - const ParticleSettings *part = psys->part; - const ParticleEditSettings *pset = &scene->toolsettings->particle; - if (object->mode == OB_MODE_PARTICLE_EDIT) { - if (psys_in_edit_mode(draw_ctx->depsgraph, psys)) { - if ((pset->flag & PE_DRAW_PART) == 0) { - return false; - } - if ((part->childtype == 0) && - (psys->flag & PSYS_HAIR_DYNAMICS && - psys->pointcache->flag & PTCACHE_BAKED) == 0) - { - return false; - } - } - } - return true; + if (ob->type == OB_MESH) { + const Mesh *me = ob->data; + + switch (ob->mode) { + case OB_MODE_TEXTURE_PAINT: + return (me->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; + case OB_MODE_VERTEX_PAINT: + case OB_MODE_WEIGHT_PAINT: + return (me->editflag & (ME_EDIT_PAINT_FACE_SEL | ME_EDIT_PAINT_VERT_SEL)) != 0; + } + } + + return false; +} + +bool DRW_object_is_visible_psys_in_active_context(const Object *object, const ParticleSystem *psys) +{ + const bool for_render = DRW_state_is_image_render(); + /* NOTE: psys_check_enabled is using object and particle system for only + * reading, but is using some other functions which are more generic and + * which are hard to make const-pointer. */ + if (!psys_check_enabled((Object *)object, (ParticleSystem *)psys, for_render)) { + return false; + } + const DRWContextState *draw_ctx = DRW_context_state_get(); + const Scene *scene = draw_ctx->scene; + if (object == draw_ctx->object_edit) { + return false; + } + const ParticleSettings *part = psys->part; + const ParticleEditSettings *pset = &scene->toolsettings->particle; + if (object->mode == OB_MODE_PARTICLE_EDIT) { + if (psys_in_edit_mode(draw_ctx->depsgraph, psys)) { + if ((pset->flag & PE_DRAW_PART) == 0) { + return false; + } + if ((part->childtype == 0) && + (psys->flag & PSYS_HAIR_DYNAMICS && psys->pointcache->flag & PTCACHE_BAKED) == 0) { + return false; + } + } + } + return true; } struct Object *DRW_object_get_dupli_parent(const Object *UNUSED(ob)) { - return DST.dupli_parent; + return DST.dupli_parent; } struct DupliObject *DRW_object_get_dupli(const Object *UNUSED(ob)) { - return DST.dupli_source; + return DST.dupli_source; } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Color Management * \{ */ @@ -268,110 +260,109 @@ struct DupliObject *DRW_object_get_dupli(const Object *UNUSED(ob)) /* Use color management profile to draw texture to framebuffer */ void DRW_transform_to_display(GPUTexture *tex, bool use_view_transform, bool use_render_settings) { - drw_state_set(DRW_STATE_WRITE_COLOR); - - GPUVertFormat *vert_format = immVertexFormat(); - uint pos = GPU_vertformat_attr_add(vert_format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - uint texco = GPU_vertformat_attr_add(vert_format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - - const float dither = 1.0f; - - bool use_ocio = false; - - /* View transform is already applied for offscreen, don't apply again, see: T52046 */ - if (!(DST.options.is_image_render && !DST.options.is_scene_render)) { - Scene *scene = DST.draw_ctx.scene; - ColorManagedDisplaySettings *display_settings = &scene->display_settings; - ColorManagedViewSettings view_settings; - if (use_render_settings) { - /* Use full render settings, for renders with scene lighting. */ - view_settings = scene->view_settings; - } - else if (use_view_transform) { - /* Use only view transform + look and nothing else for lookdev without - * scene lighting, as exposure depends on scene light intensity. */ - BKE_color_managed_view_settings_init_render(&view_settings, display_settings, NULL); - STRNCPY(view_settings.view_transform, scene->view_settings.view_transform); - STRNCPY(view_settings.look, scene->view_settings.look); - } - else { - /* For workbench use only default view transform in configuration, - * using no scene settings. */ - BKE_color_managed_view_settings_init_render(&view_settings, display_settings, NULL); - } - - use_ocio = IMB_colormanagement_setup_glsl_draw_from_space( - &view_settings, display_settings, NULL, dither, false); - } - - if (!use_ocio) { - /* View transform is already applied for offscreen, don't apply again, see: T52046 */ - if (DST.options.is_image_render && !DST.options.is_scene_render) { - immBindBuiltinProgram(GPU_SHADER_2D_IMAGE_COLOR); - immUniformColor4f(1.0f, 1.0f, 1.0f, 1.0f); - } - else { - immBindBuiltinProgram(GPU_SHADER_2D_IMAGE_LINEAR_TO_SRGB); - } - immUniform1i("image", 0); - } - - GPU_texture_bind(tex, 0); /* OCIO texture bind point is 0 */ - - float mat[4][4]; - unit_m4(mat); - immUniformMatrix4fv("ModelViewProjectionMatrix", mat); - - /* Full screen triangle */ - immBegin(GPU_PRIM_TRIS, 3); - immAttr2f(texco, 0.0f, 0.0f); - immVertex2f(pos, -1.0f, -1.0f); - - immAttr2f(texco, 2.0f, 0.0f); - immVertex2f(pos, 3.0f, -1.0f); - - immAttr2f(texco, 0.0f, 2.0f); - immVertex2f(pos, -1.0f, 3.0f); - immEnd(); - - GPU_texture_unbind(tex); - - if (use_ocio) { - IMB_colormanagement_finish_glsl_draw(); - } - else { - immUnbindProgram(); - } + drw_state_set(DRW_STATE_WRITE_COLOR); + + GPUVertFormat *vert_format = immVertexFormat(); + uint pos = GPU_vertformat_attr_add(vert_format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + uint texco = GPU_vertformat_attr_add(vert_format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + + const float dither = 1.0f; + + bool use_ocio = false; + + /* View transform is already applied for offscreen, don't apply again, see: T52046 */ + if (!(DST.options.is_image_render && !DST.options.is_scene_render)) { + Scene *scene = DST.draw_ctx.scene; + ColorManagedDisplaySettings *display_settings = &scene->display_settings; + ColorManagedViewSettings view_settings; + if (use_render_settings) { + /* Use full render settings, for renders with scene lighting. */ + view_settings = scene->view_settings; + } + else if (use_view_transform) { + /* Use only view transform + look and nothing else for lookdev without + * scene lighting, as exposure depends on scene light intensity. */ + BKE_color_managed_view_settings_init_render(&view_settings, display_settings, NULL); + STRNCPY(view_settings.view_transform, scene->view_settings.view_transform); + STRNCPY(view_settings.look, scene->view_settings.look); + } + else { + /* For workbench use only default view transform in configuration, + * using no scene settings. */ + BKE_color_managed_view_settings_init_render(&view_settings, display_settings, NULL); + } + + use_ocio = IMB_colormanagement_setup_glsl_draw_from_space( + &view_settings, display_settings, NULL, dither, false); + } + + if (!use_ocio) { + /* View transform is already applied for offscreen, don't apply again, see: T52046 */ + if (DST.options.is_image_render && !DST.options.is_scene_render) { + immBindBuiltinProgram(GPU_SHADER_2D_IMAGE_COLOR); + immUniformColor4f(1.0f, 1.0f, 1.0f, 1.0f); + } + else { + immBindBuiltinProgram(GPU_SHADER_2D_IMAGE_LINEAR_TO_SRGB); + } + immUniform1i("image", 0); + } + + GPU_texture_bind(tex, 0); /* OCIO texture bind point is 0 */ + + float mat[4][4]; + unit_m4(mat); + immUniformMatrix4fv("ModelViewProjectionMatrix", mat); + + /* Full screen triangle */ + immBegin(GPU_PRIM_TRIS, 3); + immAttr2f(texco, 0.0f, 0.0f); + immVertex2f(pos, -1.0f, -1.0f); + + immAttr2f(texco, 2.0f, 0.0f); + immVertex2f(pos, 3.0f, -1.0f); + + immAttr2f(texco, 0.0f, 2.0f); + immVertex2f(pos, -1.0f, 3.0f); + immEnd(); + + GPU_texture_unbind(tex); + + if (use_ocio) { + IMB_colormanagement_finish_glsl_draw(); + } + else { + immUnbindProgram(); + } } /* Draw texture to framebuffer without any color transforms */ void DRW_transform_none(GPUTexture *tex) { - drw_state_set(DRW_STATE_WRITE_COLOR); + drw_state_set(DRW_STATE_WRITE_COLOR); - /* Draw as texture for final render (without immediate mode). */ - GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - GPU_batch_program_set_builtin(geom, GPU_SHADER_2D_IMAGE_COLOR); + /* Draw as texture for final render (without immediate mode). */ + GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + GPU_batch_program_set_builtin(geom, GPU_SHADER_2D_IMAGE_COLOR); - GPU_texture_bind(tex, 0); + GPU_texture_bind(tex, 0); - const float white[4] = {1.0f, 1.0f, 1.0f, 1.0f}; - GPU_batch_uniform_4fv(geom, "color", white); + const float white[4] = {1.0f, 1.0f, 1.0f, 1.0f}; + GPU_batch_uniform_4fv(geom, "color", white); - float mat[4][4]; - unit_m4(mat); - GPU_batch_uniform_mat4(geom, "ModelViewProjectionMatrix", mat); + float mat[4][4]; + unit_m4(mat); + GPU_batch_uniform_mat4(geom, "ModelViewProjectionMatrix", mat); - GPU_batch_program_use_begin(geom); - GPU_batch_draw_range_ex(geom, 0, 0, false); - GPU_batch_program_use_end(geom); + GPU_batch_program_use_begin(geom); + GPU_batch_draw_range_ex(geom, 0, 0, false); + GPU_batch_program_use_end(geom); - GPU_texture_unbind(tex); + GPU_texture_unbind(tex); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Multisample Resolve * \{ */ @@ -383,64 +374,80 @@ void DRW_transform_none(GPUTexture *tex) */ void DRW_multisamples_resolve(GPUTexture *src_depth, GPUTexture *src_color, bool use_depth) { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_PREMUL; - - if (use_depth) { - state |= DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - } - drw_state_set(state); - - int samples = GPU_texture_samples(src_depth); - - BLI_assert(samples > 0); - BLI_assert(GPU_texture_samples(src_color) == samples); - - GPUBatch *geom = DRW_cache_fullscreen_quad_get(); - - int builtin; - if (use_depth) { - switch (samples) { - case 2: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2_DEPTH_TEST; break; - case 4: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_4_DEPTH_TEST; break; - case 8: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_8_DEPTH_TEST; break; - case 16: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_16_DEPTH_TEST; break; - default: - BLI_assert("Mulisample count unsupported by blit shader."); - builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2_DEPTH_TEST; - break; - } - } - else { - switch (samples) { - case 2: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2; break; - case 4: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_4; break; - case 8: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_8; break; - case 16: builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_16; break; - default: - BLI_assert("Mulisample count unsupported by blit shader."); - builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2; - break; - } - } - - GPU_batch_program_set_builtin(geom, builtin); - - if (use_depth) { - GPU_texture_bind(src_depth, 0); - GPU_batch_uniform_1i(geom, "depthMulti", 0); - } - - GPU_texture_bind(src_color, 1); - GPU_batch_uniform_1i(geom, "colorMulti", 1); - - float mat[4][4]; - unit_m4(mat); - GPU_batch_uniform_mat4(geom, "ModelViewProjectionMatrix", mat); - - /* avoid gpuMatrix calls */ - GPU_batch_program_use_begin(geom); - GPU_batch_draw_range_ex(geom, 0, 0, false); - GPU_batch_program_use_end(geom); + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND_PREMUL; + + if (use_depth) { + state |= DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + } + drw_state_set(state); + + int samples = GPU_texture_samples(src_depth); + + BLI_assert(samples > 0); + BLI_assert(GPU_texture_samples(src_color) == samples); + + GPUBatch *geom = DRW_cache_fullscreen_quad_get(); + + int builtin; + if (use_depth) { + switch (samples) { + case 2: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2_DEPTH_TEST; + break; + case 4: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_4_DEPTH_TEST; + break; + case 8: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_8_DEPTH_TEST; + break; + case 16: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_16_DEPTH_TEST; + break; + default: + BLI_assert("Mulisample count unsupported by blit shader."); + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2_DEPTH_TEST; + break; + } + } + else { + switch (samples) { + case 2: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2; + break; + case 4: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_4; + break; + case 8: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_8; + break; + case 16: + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_16; + break; + default: + BLI_assert("Mulisample count unsupported by blit shader."); + builtin = GPU_SHADER_2D_IMAGE_MULTISAMPLE_2; + break; + } + } + + GPU_batch_program_set_builtin(geom, builtin); + + if (use_depth) { + GPU_texture_bind(src_depth, 0); + GPU_batch_uniform_1i(geom, "depthMulti", 0); + } + + GPU_texture_bind(src_color, 1); + GPU_batch_uniform_1i(geom, "colorMulti", 1); + + float mat[4][4]; + unit_m4(mat); + GPU_batch_uniform_mat4(geom, "ModelViewProjectionMatrix", mat); + + /* avoid gpuMatrix calls */ + GPU_batch_program_use_begin(geom); + GPU_batch_draw_range_ex(geom, 0, 0, false); + GPU_batch_program_use_end(geom); } /** \} */ @@ -451,111 +458,110 @@ void DRW_multisamples_resolve(GPUTexture *src_depth, GPUTexture *src_color, bool void *drw_viewport_engine_data_ensure(void *engine_type) { - void *data = GPU_viewport_engine_data_get(DST.viewport, engine_type); + void *data = GPU_viewport_engine_data_get(DST.viewport, engine_type); - if (data == NULL) { - data = GPU_viewport_engine_data_create(DST.viewport, engine_type); - } - return data; + if (data == NULL) { + data = GPU_viewport_engine_data_create(DST.viewport, engine_type); + } + return data; } void DRW_engine_viewport_data_size_get( - const void *engine_type_v, - int *r_fbl_len, int *r_txl_len, int *r_psl_len, int *r_stl_len) + const void *engine_type_v, int *r_fbl_len, int *r_txl_len, int *r_psl_len, int *r_stl_len) { - const DrawEngineType *engine_type = engine_type_v; + const DrawEngineType *engine_type = engine_type_v; - if (r_fbl_len) { - *r_fbl_len = engine_type->vedata_size->fbl_len; - } - if (r_txl_len) { - *r_txl_len = engine_type->vedata_size->txl_len; - } - if (r_psl_len) { - *r_psl_len = engine_type->vedata_size->psl_len; - } - if (r_stl_len) { - *r_stl_len = engine_type->vedata_size->stl_len; - } + if (r_fbl_len) { + *r_fbl_len = engine_type->vedata_size->fbl_len; + } + if (r_txl_len) { + *r_txl_len = engine_type->vedata_size->txl_len; + } + if (r_psl_len) { + *r_psl_len = engine_type->vedata_size->psl_len; + } + if (r_stl_len) { + *r_stl_len = engine_type->vedata_size->stl_len; + } } /* WARNING: only use for custom pipeline. 99% of the time, you don't want to use this. */ void DRW_render_viewport_size_set(int size[2]) { - DST.size[0] = size[0]; - DST.size[1] = size[1]; + DST.size[0] = size[0]; + DST.size[1] = size[1]; } const float *DRW_viewport_size_get(void) { - return DST.size; + return DST.size; } const float *DRW_viewport_invert_size_get(void) { - return DST.inv_size; + return DST.inv_size; } const float *DRW_viewport_screenvecs_get(void) { - return &DST.screenvecs[0][0]; + return &DST.screenvecs[0][0]; } const float *DRW_viewport_pixelsize_get(void) { - return &DST.pixsize; + return &DST.pixsize; } static void drw_viewport_cache_resize(void) { - /* Release the memiter before clearing the mempools that references them */ - GPU_viewport_cache_release(DST.viewport); + /* Release the memiter before clearing the mempools that references them */ + GPU_viewport_cache_release(DST.viewport); - if (DST.vmempool != NULL) { - BLI_mempool_clear_ex(DST.vmempool->calls, BLI_mempool_len(DST.vmempool->calls)); - BLI_mempool_clear_ex(DST.vmempool->states, BLI_mempool_len(DST.vmempool->states)); - BLI_mempool_clear_ex(DST.vmempool->shgroups, BLI_mempool_len(DST.vmempool->shgroups)); - BLI_mempool_clear_ex(DST.vmempool->uniforms, BLI_mempool_len(DST.vmempool->uniforms)); - BLI_mempool_clear_ex(DST.vmempool->passes, BLI_mempool_len(DST.vmempool->passes)); - } + if (DST.vmempool != NULL) { + BLI_mempool_clear_ex(DST.vmempool->calls, BLI_mempool_len(DST.vmempool->calls)); + BLI_mempool_clear_ex(DST.vmempool->states, BLI_mempool_len(DST.vmempool->states)); + BLI_mempool_clear_ex(DST.vmempool->shgroups, BLI_mempool_len(DST.vmempool->shgroups)); + BLI_mempool_clear_ex(DST.vmempool->uniforms, BLI_mempool_len(DST.vmempool->uniforms)); + BLI_mempool_clear_ex(DST.vmempool->passes, BLI_mempool_len(DST.vmempool->passes)); + } - DRW_instance_data_list_free_unused(DST.idatalist); - DRW_instance_data_list_resize(DST.idatalist); + DRW_instance_data_list_free_unused(DST.idatalist); + DRW_instance_data_list_resize(DST.idatalist); } /* Not a viewport variable, we could split this out. */ static void drw_context_state_init(void) { - if (DST.draw_ctx.obact) { - DST.draw_ctx.object_mode = DST.draw_ctx.obact->mode; - } - else { - DST.draw_ctx.object_mode = OB_MODE_OBJECT; - } - - /* Edit object. */ - if (DST.draw_ctx.object_mode & OB_MODE_EDIT) { - DST.draw_ctx.object_edit = DST.draw_ctx.obact; - } - else { - DST.draw_ctx.object_edit = NULL; - } - - /* Pose object. */ - if (DST.draw_ctx.object_mode & OB_MODE_POSE) { - DST.draw_ctx.object_pose = DST.draw_ctx.obact; - } - else if (DST.draw_ctx.object_mode & OB_MODE_WEIGHT_PAINT) { - DST.draw_ctx.object_pose = BKE_object_pose_armature_get(DST.draw_ctx.obact); - } - else { - DST.draw_ctx.object_pose = NULL; - } - - DST.draw_ctx.sh_cfg = GPU_SHADER_CFG_DEFAULT; - if (DST.draw_ctx.rv3d && DST.draw_ctx.rv3d->rflag & RV3D_CLIPPING) { - DST.draw_ctx.sh_cfg = GPU_SHADER_CFG_CLIPPED; - } + if (DST.draw_ctx.obact) { + DST.draw_ctx.object_mode = DST.draw_ctx.obact->mode; + } + else { + DST.draw_ctx.object_mode = OB_MODE_OBJECT; + } + + /* Edit object. */ + if (DST.draw_ctx.object_mode & OB_MODE_EDIT) { + DST.draw_ctx.object_edit = DST.draw_ctx.obact; + } + else { + DST.draw_ctx.object_edit = NULL; + } + + /* Pose object. */ + if (DST.draw_ctx.object_mode & OB_MODE_POSE) { + DST.draw_ctx.object_pose = DST.draw_ctx.obact; + } + else if (DST.draw_ctx.object_mode & OB_MODE_WEIGHT_PAINT) { + DST.draw_ctx.object_pose = BKE_object_pose_armature_get(DST.draw_ctx.obact); + } + else { + DST.draw_ctx.object_pose = NULL; + } + + DST.draw_ctx.sh_cfg = GPU_SHADER_CFG_DEFAULT; + if (DST.draw_ctx.rv3d && DST.draw_ctx.rv3d->rflag & RV3D_CLIPPING) { + DST.draw_ctx.sh_cfg = GPU_SHADER_CFG_CLIPPED; + } } /* It also stores viewport variable to an immutable place: DST @@ -564,245 +570,248 @@ static void drw_context_state_init(void) * if this value change per viewport */ static void drw_viewport_var_init(void) { - RegionView3D *rv3d = DST.draw_ctx.rv3d; - /* Refresh DST.size */ - if (DST.viewport) { - int size[2]; - GPU_viewport_size_get(DST.viewport, size); - DST.size[0] = size[0]; - DST.size[1] = size[1]; - DST.inv_size[0] = 1.0f / size[0]; - DST.inv_size[1] = 1.0f / size[1]; - - DefaultFramebufferList *fbl = (DefaultFramebufferList *)GPU_viewport_framebuffer_list_get(DST.viewport); - DST.default_framebuffer = fbl->default_fb; - - DST.vmempool = GPU_viewport_mempool_get(DST.viewport); - - if (DST.vmempool->calls == NULL) { - DST.vmempool->calls = BLI_mempool_create(sizeof(DRWCall), 0, 512, 0); - } - if (DST.vmempool->states == NULL) { - DST.vmempool->states = BLI_mempool_create(sizeof(DRWCallState), 0, 512, BLI_MEMPOOL_ALLOW_ITER); - } - if (DST.vmempool->shgroups == NULL) { - DST.vmempool->shgroups = BLI_mempool_create(sizeof(DRWShadingGroup), 0, 256, 0); - } - if (DST.vmempool->uniforms == NULL) { - DST.vmempool->uniforms = BLI_mempool_create(sizeof(DRWUniform), 0, 512, 0); - } - if (DST.vmempool->passes == NULL) { - DST.vmempool->passes = BLI_mempool_create(sizeof(DRWPass), 0, 64, 0); - } - - DST.idatalist = GPU_viewport_instance_data_list_get(DST.viewport); - DRW_instance_data_list_reset(DST.idatalist); - } - else { - DST.size[0] = 0; - DST.size[1] = 0; - - DST.inv_size[0] = 0; - DST.inv_size[1] = 0; - - DST.default_framebuffer = NULL; - DST.vmempool = NULL; - } - - if (rv3d != NULL) { - /* Refresh DST.screenvecs */ - copy_v3_v3(DST.screenvecs[0], rv3d->viewinv[0]); - copy_v3_v3(DST.screenvecs[1], rv3d->viewinv[1]); - normalize_v3(DST.screenvecs[0]); - normalize_v3(DST.screenvecs[1]); - - /* Refresh DST.pixelsize */ - DST.pixsize = rv3d->pixsize; - - copy_m4_m4(DST.original_mat.mat[DRW_MAT_PERS], rv3d->persmat); - copy_m4_m4(DST.original_mat.mat[DRW_MAT_PERSINV], rv3d->persinv); - copy_m4_m4(DST.original_mat.mat[DRW_MAT_VIEW], rv3d->viewmat); - copy_m4_m4(DST.original_mat.mat[DRW_MAT_VIEWINV], rv3d->viewinv); - copy_m4_m4(DST.original_mat.mat[DRW_MAT_WIN], rv3d->winmat); - invert_m4_m4(DST.original_mat.mat[DRW_MAT_WININV], rv3d->winmat); - - memcpy(DST.view_data.matstate.mat, DST.original_mat.mat, sizeof(DST.original_mat.mat)); - - copy_v4_v4(DST.view_data.viewcamtexcofac, rv3d->viewcamtexcofac); - } - else { - copy_v4_fl4(DST.view_data.viewcamtexcofac, 1.0f, 1.0f, 0.0f, 0.0f); - } - - /* Reset facing */ - DST.frontface = GL_CCW; - DST.backface = GL_CW; - glFrontFace(DST.frontface); - - if (DST.draw_ctx.object_edit) { - ED_view3d_init_mats_rv3d(DST.draw_ctx.object_edit, rv3d); - } - - /* Alloc array of texture reference. */ - memset(&DST.RST, 0x0, sizeof(DST.RST)); - - if (G_draw.view_ubo == NULL) { - G_draw.view_ubo = DRW_uniformbuffer_create(sizeof(ViewUboStorage), NULL); - } - - DST.override_mat = 0; - DST.dirty_mat = true; - DST.state_cache_id = 1; - - DST.clipping.updated = false; - - memset(DST.object_instance_data, 0x0, sizeof(DST.object_instance_data)); + RegionView3D *rv3d = DST.draw_ctx.rv3d; + /* Refresh DST.size */ + if (DST.viewport) { + int size[2]; + GPU_viewport_size_get(DST.viewport, size); + DST.size[0] = size[0]; + DST.size[1] = size[1]; + DST.inv_size[0] = 1.0f / size[0]; + DST.inv_size[1] = 1.0f / size[1]; + + DefaultFramebufferList *fbl = (DefaultFramebufferList *)GPU_viewport_framebuffer_list_get( + DST.viewport); + DST.default_framebuffer = fbl->default_fb; + + DST.vmempool = GPU_viewport_mempool_get(DST.viewport); + + if (DST.vmempool->calls == NULL) { + DST.vmempool->calls = BLI_mempool_create(sizeof(DRWCall), 0, 512, 0); + } + if (DST.vmempool->states == NULL) { + DST.vmempool->states = BLI_mempool_create( + sizeof(DRWCallState), 0, 512, BLI_MEMPOOL_ALLOW_ITER); + } + if (DST.vmempool->shgroups == NULL) { + DST.vmempool->shgroups = BLI_mempool_create(sizeof(DRWShadingGroup), 0, 256, 0); + } + if (DST.vmempool->uniforms == NULL) { + DST.vmempool->uniforms = BLI_mempool_create(sizeof(DRWUniform), 0, 512, 0); + } + if (DST.vmempool->passes == NULL) { + DST.vmempool->passes = BLI_mempool_create(sizeof(DRWPass), 0, 64, 0); + } + + DST.idatalist = GPU_viewport_instance_data_list_get(DST.viewport); + DRW_instance_data_list_reset(DST.idatalist); + } + else { + DST.size[0] = 0; + DST.size[1] = 0; + + DST.inv_size[0] = 0; + DST.inv_size[1] = 0; + + DST.default_framebuffer = NULL; + DST.vmempool = NULL; + } + + if (rv3d != NULL) { + /* Refresh DST.screenvecs */ + copy_v3_v3(DST.screenvecs[0], rv3d->viewinv[0]); + copy_v3_v3(DST.screenvecs[1], rv3d->viewinv[1]); + normalize_v3(DST.screenvecs[0]); + normalize_v3(DST.screenvecs[1]); + + /* Refresh DST.pixelsize */ + DST.pixsize = rv3d->pixsize; + + copy_m4_m4(DST.original_mat.mat[DRW_MAT_PERS], rv3d->persmat); + copy_m4_m4(DST.original_mat.mat[DRW_MAT_PERSINV], rv3d->persinv); + copy_m4_m4(DST.original_mat.mat[DRW_MAT_VIEW], rv3d->viewmat); + copy_m4_m4(DST.original_mat.mat[DRW_MAT_VIEWINV], rv3d->viewinv); + copy_m4_m4(DST.original_mat.mat[DRW_MAT_WIN], rv3d->winmat); + invert_m4_m4(DST.original_mat.mat[DRW_MAT_WININV], rv3d->winmat); + + memcpy(DST.view_data.matstate.mat, DST.original_mat.mat, sizeof(DST.original_mat.mat)); + + copy_v4_v4(DST.view_data.viewcamtexcofac, rv3d->viewcamtexcofac); + } + else { + copy_v4_fl4(DST.view_data.viewcamtexcofac, 1.0f, 1.0f, 0.0f, 0.0f); + } + + /* Reset facing */ + DST.frontface = GL_CCW; + DST.backface = GL_CW; + glFrontFace(DST.frontface); + + if (DST.draw_ctx.object_edit) { + ED_view3d_init_mats_rv3d(DST.draw_ctx.object_edit, rv3d); + } + + /* Alloc array of texture reference. */ + memset(&DST.RST, 0x0, sizeof(DST.RST)); + + if (G_draw.view_ubo == NULL) { + G_draw.view_ubo = DRW_uniformbuffer_create(sizeof(ViewUboStorage), NULL); + } + + DST.override_mat = 0; + DST.dirty_mat = true; + DST.state_cache_id = 1; + + DST.clipping.updated = false; + + memset(DST.object_instance_data, 0x0, sizeof(DST.object_instance_data)); } void DRW_viewport_matrix_get(float mat[4][4], DRWViewportMatrixType type) { - BLI_assert(type >= 0 && type < DRW_MAT_COUNT); - /* Can't use this in render mode. */ - BLI_assert(((DST.override_mat & (1 << type)) != 0) || DST.draw_ctx.rv3d != NULL); + BLI_assert(type >= 0 && type < DRW_MAT_COUNT); + /* Can't use this in render mode. */ + BLI_assert(((DST.override_mat & (1 << type)) != 0) || DST.draw_ctx.rv3d != NULL); - copy_m4_m4(mat, DST.view_data.matstate.mat[type]); + copy_m4_m4(mat, DST.view_data.matstate.mat[type]); } void DRW_viewport_matrix_get_all(DRWMatrixState *state) { - memcpy(state, DST.view_data.matstate.mat, sizeof(DRWMatrixState)); + memcpy(state, DST.view_data.matstate.mat, sizeof(DRWMatrixState)); } void DRW_viewport_matrix_override_set(const float mat[4][4], DRWViewportMatrixType type) { - BLI_assert(type < DRW_MAT_COUNT); - copy_m4_m4(DST.view_data.matstate.mat[type], mat); - DST.override_mat |= (1 << type); - DST.dirty_mat = true; - DST.clipping.updated = false; + BLI_assert(type < DRW_MAT_COUNT); + copy_m4_m4(DST.view_data.matstate.mat[type], mat); + DST.override_mat |= (1 << type); + DST.dirty_mat = true; + DST.clipping.updated = false; } void DRW_viewport_matrix_override_unset(DRWViewportMatrixType type) { - BLI_assert(type < DRW_MAT_COUNT); - copy_m4_m4(DST.view_data.matstate.mat[type], DST.original_mat.mat[type]); - DST.override_mat &= ~(1 << type); - DST.dirty_mat = true; - DST.clipping.updated = false; + BLI_assert(type < DRW_MAT_COUNT); + copy_m4_m4(DST.view_data.matstate.mat[type], DST.original_mat.mat[type]); + DST.override_mat &= ~(1 << type); + DST.dirty_mat = true; + DST.clipping.updated = false; } void DRW_viewport_matrix_override_set_all(DRWMatrixState *state) { - memcpy(DST.view_data.matstate.mat, state, sizeof(DRWMatrixState)); - DST.override_mat = 0xFFFFFF; - DST.dirty_mat = true; - DST.clipping.updated = false; + memcpy(DST.view_data.matstate.mat, state, sizeof(DRWMatrixState)); + DST.override_mat = 0xFFFFFF; + DST.dirty_mat = true; + DST.clipping.updated = false; } void DRW_viewport_matrix_override_unset_all(void) { - memcpy(DST.view_data.matstate.mat, DST.original_mat.mat, sizeof(DRWMatrixState)); - DST.override_mat = 0; - DST.dirty_mat = true; - DST.clipping.updated = false; + memcpy(DST.view_data.matstate.mat, DST.original_mat.mat, sizeof(DRWMatrixState)); + DST.override_mat = 0; + DST.dirty_mat = true; + DST.clipping.updated = false; } bool DRW_viewport_is_persp_get(void) { - RegionView3D *rv3d = DST.draw_ctx.rv3d; - if (rv3d) { - return rv3d->is_persp; - } - else { - return DST.view_data.matstate.mat[DRW_MAT_WIN][3][3] == 0.0f; - } + RegionView3D *rv3d = DST.draw_ctx.rv3d; + if (rv3d) { + return rv3d->is_persp; + } + else { + return DST.view_data.matstate.mat[DRW_MAT_WIN][3][3] == 0.0f; + } } float DRW_viewport_near_distance_get(void) { - float projmat[4][4]; - DRW_viewport_matrix_get(projmat, DRW_MAT_WIN); + float projmat[4][4]; + DRW_viewport_matrix_get(projmat, DRW_MAT_WIN); - if (DRW_viewport_is_persp_get()) { - return -projmat[3][2] / (projmat[2][2] - 1.0f); - } - else { - return -(projmat[3][2] + 1.0f) / projmat[2][2]; - } + if (DRW_viewport_is_persp_get()) { + return -projmat[3][2] / (projmat[2][2] - 1.0f); + } + else { + return -(projmat[3][2] + 1.0f) / projmat[2][2]; + } } float DRW_viewport_far_distance_get(void) { - float projmat[4][4]; - DRW_viewport_matrix_get(projmat, DRW_MAT_WIN); + float projmat[4][4]; + DRW_viewport_matrix_get(projmat, DRW_MAT_WIN); - if (DRW_viewport_is_persp_get()) { - return -projmat[3][2] / (projmat[2][2] + 1.0f); - } - else { - return -(projmat[3][2] - 1.0f) / projmat[2][2]; - } + if (DRW_viewport_is_persp_get()) { + return -projmat[3][2] / (projmat[2][2] + 1.0f); + } + else { + return -(projmat[3][2] - 1.0f) / projmat[2][2]; + } } DefaultFramebufferList *DRW_viewport_framebuffer_list_get(void) { - return GPU_viewport_framebuffer_list_get(DST.viewport); + return GPU_viewport_framebuffer_list_get(DST.viewport); } DefaultTextureList *DRW_viewport_texture_list_get(void) { - return GPU_viewport_texture_list_get(DST.viewport); + return GPU_viewport_texture_list_get(DST.viewport); } void DRW_viewport_request_redraw(void) { - GPU_viewport_tag_update(DST.viewport); + GPU_viewport_tag_update(DST.viewport); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name ViewLayers (DRW_scenelayer) * \{ */ void *DRW_view_layer_engine_data_get(DrawEngineType *engine_type) { - for (ViewLayerEngineData *sled = DST.draw_ctx.view_layer->drawdata.first; sled; sled = sled->next) { - if (sled->engine_type == engine_type) { - return sled->storage; - } - } - return NULL; + for (ViewLayerEngineData *sled = DST.draw_ctx.view_layer->drawdata.first; sled; + sled = sled->next) { + if (sled->engine_type == engine_type) { + return sled->storage; + } + } + return NULL; } -void **DRW_view_layer_engine_data_ensure_ex( - ViewLayer *view_layer, DrawEngineType *engine_type, void (*callback)(void *storage)) +void **DRW_view_layer_engine_data_ensure_ex(ViewLayer *view_layer, + DrawEngineType *engine_type, + void (*callback)(void *storage)) { - ViewLayerEngineData *sled; + ViewLayerEngineData *sled; - for (sled = view_layer->drawdata.first; sled; sled = sled->next) { - if (sled->engine_type == engine_type) { - return &sled->storage; - } - } + for (sled = view_layer->drawdata.first; sled; sled = sled->next) { + if (sled->engine_type == engine_type) { + return &sled->storage; + } + } - sled = MEM_callocN(sizeof(ViewLayerEngineData), "ViewLayerEngineData"); - sled->engine_type = engine_type; - sled->free = callback; - BLI_addtail(&view_layer->drawdata, sled); + sled = MEM_callocN(sizeof(ViewLayerEngineData), "ViewLayerEngineData"); + sled->engine_type = engine_type; + sled->free = callback; + BLI_addtail(&view_layer->drawdata, sled); - return &sled->storage; + return &sled->storage; } -void **DRW_view_layer_engine_data_ensure(DrawEngineType *engine_type, void (*callback)(void *storage)) +void **DRW_view_layer_engine_data_ensure(DrawEngineType *engine_type, + void (*callback)(void *storage)) { - return DRW_view_layer_engine_data_ensure_ex(DST.draw_ctx.view_layer, engine_type, callback); + return DRW_view_layer_engine_data_ensure_ex(DST.draw_ctx.view_layer, engine_type, callback); } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Draw Data (DRW_drawdata) * \{ */ @@ -812,36 +821,36 @@ void **DRW_view_layer_engine_data_ensure(DrawEngineType *engine_type, void (*cal * should have the same arrangement in their structs. */ typedef struct IdDdtTemplate { - ID id; - struct AnimData *adt; - DrawDataList drawdata; + ID id; + struct AnimData *adt; + DrawDataList drawdata; } IdDdtTemplate; /* Check if ID can have AnimData */ static bool id_type_can_have_drawdata(const short id_type) { - /* Only some ID-blocks have this info for now */ - /* TODO: finish adding this for the other blocktypes */ - switch (id_type) { - /* has DrawData */ - case ID_OB: - case ID_WO: - return true; + /* Only some ID-blocks have this info for now */ + /* TODO: finish adding this for the other blocktypes */ + switch (id_type) { + /* has DrawData */ + case ID_OB: + case ID_WO: + return true; - /* no DrawData */ - default: - return false; - } + /* no DrawData */ + default: + return false; + } } static bool id_can_have_drawdata(const ID *id) { - /* sanity check */ - if (id == NULL) { - return false; - } + /* sanity check */ + if (id == NULL) { + return false; + } - return id_type_can_have_drawdata(GS(id->name)); + return id_type_can_have_drawdata(GS(id->name)); } /* Get DrawData from the given ID-block. In order for this to work, we assume that @@ -849,324 +858,322 @@ static bool id_can_have_drawdata(const ID *id) */ DrawDataList *DRW_drawdatalist_from_id(ID *id) { - /* only some ID-blocks have this info for now, so we cast the - * types that do to be of type IdDdtTemplate, and extract the - * DrawData that way - */ - if (id_can_have_drawdata(id)) { - IdDdtTemplate *idt = (IdDdtTemplate *)id; - return &idt->drawdata; - } - else { - return NULL; - } + /* only some ID-blocks have this info for now, so we cast the + * types that do to be of type IdDdtTemplate, and extract the + * DrawData that way + */ + if (id_can_have_drawdata(id)) { + IdDdtTemplate *idt = (IdDdtTemplate *)id; + return &idt->drawdata; + } + else { + return NULL; + } } DrawData *DRW_drawdata_get(ID *id, DrawEngineType *engine_type) { - DrawDataList *drawdata = DRW_drawdatalist_from_id(id); - - if (drawdata == NULL) { - return NULL; - } - - LISTBASE_FOREACH(DrawData *, dd, drawdata) { - if (dd->engine_type == engine_type) { - return dd; - } - } - return NULL; -} - -DrawData *DRW_drawdata_ensure( - ID *id, - DrawEngineType *engine_type, - size_t size, - DrawDataInitCb init_cb, - DrawDataFreeCb free_cb) -{ - BLI_assert(size >= sizeof(DrawData)); - BLI_assert(id_can_have_drawdata(id)); - /* Try to re-use existing data. */ - DrawData *dd = DRW_drawdata_get(id, engine_type); - if (dd != NULL) { - return dd; - } - - DrawDataList *drawdata = DRW_drawdatalist_from_id(id); - - /* Allocate new data. */ - if ((GS(id->name) == ID_OB) && (((Object *)id)->base_flag & BASE_FROM_DUPLI) != 0) { - /* NOTE: data is not persistent in this case. It is reset each redraw. */ - BLI_assert(free_cb == NULL); /* No callback allowed. */ - /* Round to sizeof(float) for DRW_instance_data_request(). */ - const size_t t = sizeof(float) - 1; - size = (size + t) & ~t; - size_t fsize = size / sizeof(float); - BLI_assert(fsize < MAX_INSTANCE_DATA_SIZE); - if (DST.object_instance_data[fsize] == NULL) { - DST.object_instance_data[fsize] = DRW_instance_data_request(DST.idatalist, fsize); - } - dd = (DrawData *)DRW_instance_data_next(DST.object_instance_data[fsize]); - memset(dd, 0, size); - } - else { - dd = MEM_callocN(size, "DrawData"); - } - dd->engine_type = engine_type; - dd->free = free_cb; - /* Perform user-side initialization, if needed. */ - if (init_cb != NULL) { - init_cb(dd); - } - /* Register in the list. */ - BLI_addtail((ListBase *)drawdata, dd); - return dd; + DrawDataList *drawdata = DRW_drawdatalist_from_id(id); + + if (drawdata == NULL) { + return NULL; + } + + LISTBASE_FOREACH (DrawData *, dd, drawdata) { + if (dd->engine_type == engine_type) { + return dd; + } + } + return NULL; +} + +DrawData *DRW_drawdata_ensure(ID *id, + DrawEngineType *engine_type, + size_t size, + DrawDataInitCb init_cb, + DrawDataFreeCb free_cb) +{ + BLI_assert(size >= sizeof(DrawData)); + BLI_assert(id_can_have_drawdata(id)); + /* Try to re-use existing data. */ + DrawData *dd = DRW_drawdata_get(id, engine_type); + if (dd != NULL) { + return dd; + } + + DrawDataList *drawdata = DRW_drawdatalist_from_id(id); + + /* Allocate new data. */ + if ((GS(id->name) == ID_OB) && (((Object *)id)->base_flag & BASE_FROM_DUPLI) != 0) { + /* NOTE: data is not persistent in this case. It is reset each redraw. */ + BLI_assert(free_cb == NULL); /* No callback allowed. */ + /* Round to sizeof(float) for DRW_instance_data_request(). */ + const size_t t = sizeof(float) - 1; + size = (size + t) & ~t; + size_t fsize = size / sizeof(float); + BLI_assert(fsize < MAX_INSTANCE_DATA_SIZE); + if (DST.object_instance_data[fsize] == NULL) { + DST.object_instance_data[fsize] = DRW_instance_data_request(DST.idatalist, fsize); + } + dd = (DrawData *)DRW_instance_data_next(DST.object_instance_data[fsize]); + memset(dd, 0, size); + } + else { + dd = MEM_callocN(size, "DrawData"); + } + dd->engine_type = engine_type; + dd->free = free_cb; + /* Perform user-side initialization, if needed. */ + if (init_cb != NULL) { + init_cb(dd); + } + /* Register in the list. */ + BLI_addtail((ListBase *)drawdata, dd); + return dd; } void DRW_drawdata_free(ID *id) { - DrawDataList *drawdata = DRW_drawdatalist_from_id(id); + DrawDataList *drawdata = DRW_drawdatalist_from_id(id); - if (drawdata == NULL) { - return; - } + if (drawdata == NULL) { + return; + } - LISTBASE_FOREACH(DrawData *, dd, drawdata) { - if (dd->free != NULL) { - dd->free(dd); - } - } + LISTBASE_FOREACH (DrawData *, dd, drawdata) { + if (dd->free != NULL) { + dd->free(dd); + } + } - BLI_freelistN((ListBase *)drawdata); + BLI_freelistN((ListBase *)drawdata); } /* Unlink (but don't free) the drawdata from the DrawDataList if the ID is an OB from dupli. */ static void drw_drawdata_unlink_dupli(ID *id) { - if ((GS(id->name) == ID_OB) && (((Object *)id)->base_flag & BASE_FROM_DUPLI) != 0) { - DrawDataList *drawdata = DRW_drawdatalist_from_id(id); + if ((GS(id->name) == ID_OB) && (((Object *)id)->base_flag & BASE_FROM_DUPLI) != 0) { + DrawDataList *drawdata = DRW_drawdatalist_from_id(id); - if (drawdata == NULL) { - return; - } + if (drawdata == NULL) { + return; + } - BLI_listbase_clear((ListBase *)drawdata); - } + BLI_listbase_clear((ListBase *)drawdata); + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Rendering (DRW_engines) * \{ */ static void drw_engines_init(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - PROFILE_START(stime); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + PROFILE_START(stime); - if (engine->engine_init) { - engine->engine_init(data); - } + if (engine->engine_init) { + engine->engine_init(data); + } - PROFILE_END_UPDATE(data->init_time, stime); - } + PROFILE_END_UPDATE(data->init_time, stime); + } } static void drw_engines_cache_init(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (data->text_draw_cache) { - DRW_text_cache_destroy(data->text_draw_cache); - data->text_draw_cache = NULL; - } - if (DST.text_store_p == NULL) { - DST.text_store_p = &data->text_draw_cache; - } + if (data->text_draw_cache) { + DRW_text_cache_destroy(data->text_draw_cache); + data->text_draw_cache = NULL; + } + if (DST.text_store_p == NULL) { + DST.text_store_p = &data->text_draw_cache; + } - if (engine->cache_init) { - engine->cache_init(data); - } - } + if (engine->cache_init) { + engine->cache_init(data); + } + } } static void drw_engines_world_update(Scene *scene) { - if (scene->world == NULL) { - return; - } + if (scene->world == NULL) { + return; + } - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (engine->id_update) { - engine->id_update(data, &scene->world->id); - } - } + if (engine->id_update) { + engine->id_update(data, &scene->world->id); + } + } } static void drw_engines_cache_populate(Object *ob) { - DST.ob_state = NULL; + DST.ob_state = NULL; - /* HACK: DrawData is copied by COW from the duplicated object. - * This is valid for IDs that cannot be instantiated but this - * is not what we want in this case so we clear the pointer - * ourselves here. */ - drw_drawdata_unlink_dupli((ID *)ob); + /* HACK: DrawData is copied by COW from the duplicated object. + * This is valid for IDs that cannot be instantiated but this + * is not what we want in this case so we clear the pointer + * ourselves here. */ + drw_drawdata_unlink_dupli((ID *)ob); - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (engine->id_update) { - engine->id_update(data, &ob->id); - } + if (engine->id_update) { + engine->id_update(data, &ob->id); + } - if (engine->cache_populate) { - engine->cache_populate(data, ob); - } - } + if (engine->cache_populate) { + engine->cache_populate(data, ob); + } + } - /* TODO: in the future it would be nice to generate once for all viewports. - * But we need threaded DRW manager first. */ - drw_batch_cache_generate_requested(ob); + /* TODO: in the future it would be nice to generate once for all viewports. + * But we need threaded DRW manager first. */ + drw_batch_cache_generate_requested(ob); - /* ... and clearing it here too because theses draw data are - * from a mempool and must not be free individually by depsgraph. */ - drw_drawdata_unlink_dupli((ID *)ob); + /* ... and clearing it here too because theses draw data are + * from a mempool and must not be free individually by depsgraph. */ + drw_drawdata_unlink_dupli((ID *)ob); } static void drw_engines_cache_finish(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (engine->cache_finish) { - engine->cache_finish(data); - } - } + if (engine->cache_finish) { + engine->cache_finish(data); + } + } } static void drw_engines_draw_background(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (engine->draw_background) { - PROFILE_START(stime); + if (engine->draw_background) { + PROFILE_START(stime); - DRW_stats_group_start(engine->idname); - engine->draw_background(data); - DRW_stats_group_end(); + DRW_stats_group_start(engine->idname); + engine->draw_background(data); + DRW_stats_group_end(); - PROFILE_END_UPDATE(data->background_time, stime); - return; - } - } + PROFILE_END_UPDATE(data->background_time, stime); + return; + } + } - /* No draw_background found, doing default background */ - if (DRW_state_draw_background()) { - DRW_draw_background(); - } + /* No draw_background found, doing default background */ + if (DRW_state_draw_background()) { + DRW_draw_background(); + } } static void drw_engines_draw_scene(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - PROFILE_START(stime); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + PROFILE_START(stime); - if (engine->draw_scene) { - DRW_stats_group_start(engine->idname); - engine->draw_scene(data); - /* Restore for next engine */ - if (DRW_state_is_fbo()) { - GPU_framebuffer_bind(DST.default_framebuffer); - } - DRW_stats_group_end(); - } + if (engine->draw_scene) { + DRW_stats_group_start(engine->idname); + engine->draw_scene(data); + /* Restore for next engine */ + if (DRW_state_is_fbo()) { + GPU_framebuffer_bind(DST.default_framebuffer); + } + DRW_stats_group_end(); + } - PROFILE_END_UPDATE(data->render_time, stime); - } - /* Reset state after drawing */ - DRW_state_reset(); + PROFILE_END_UPDATE(data->render_time, stime); + } + /* Reset state after drawing */ + DRW_state_reset(); } static void drw_engines_draw_text(void) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - PROFILE_START(stime); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + PROFILE_START(stime); - if (data->text_draw_cache) { - DRW_text_cache_draw(data->text_draw_cache, DST.draw_ctx.ar); - } + if (data->text_draw_cache) { + DRW_text_cache_draw(data->text_draw_cache, DST.draw_ctx.ar); + } - PROFILE_END_UPDATE(data->render_time, stime); - } + PROFILE_END_UPDATE(data->render_time, stime); + } } /* Draw render engine info. */ void DRW_draw_region_engine_info(int xoffset, int yoffset) { - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - if (data->info[0] != '\0') { - char *chr_current = data->info; - char *chr_start = chr_current; - int line_len = 0; + if (data->info[0] != '\0') { + char *chr_current = data->info; + char *chr_start = chr_current; + int line_len = 0; - const int font_id = BLF_default(); - UI_FontThemeColor(font_id, TH_TEXT_HI); + const int font_id = BLF_default(); + UI_FontThemeColor(font_id, TH_TEXT_HI); - BLF_enable(font_id, BLF_SHADOW); - BLF_shadow(font_id, 5, (const float[4]){0.0f, 0.0f, 0.0f, 1.0f}); - BLF_shadow_offset(font_id, 1, -1); + BLF_enable(font_id, BLF_SHADOW); + BLF_shadow(font_id, 5, (const float[4]){0.0f, 0.0f, 0.0f, 1.0f}); + BLF_shadow_offset(font_id, 1, -1); - while (*chr_current++ != '\0') { - line_len++; - if (*chr_current == '\n') { - char info[GPU_INFO_SIZE]; - BLI_strncpy(info, chr_start, line_len + 1); - yoffset -= U.widget_unit; - BLF_draw_default(xoffset, yoffset, 0.0f, info, sizeof(info)); + while (*chr_current++ != '\0') { + line_len++; + if (*chr_current == '\n') { + char info[GPU_INFO_SIZE]; + BLI_strncpy(info, chr_start, line_len + 1); + yoffset -= U.widget_unit; + BLF_draw_default(xoffset, yoffset, 0.0f, info, sizeof(info)); - /* Re-start counting. */ - chr_start = chr_current + 1; - line_len = -1; - } - } + /* Re-start counting. */ + chr_start = chr_current + 1; + line_len = -1; + } + } - char info[GPU_INFO_SIZE]; - BLI_strncpy(info, chr_start, line_len + 1); - yoffset -= U.widget_unit; - BLF_draw_default(xoffset, yoffset, 0.0f, info, sizeof(info)); + char info[GPU_INFO_SIZE]; + BLI_strncpy(info, chr_start, line_len + 1); + yoffset -= U.widget_unit; + BLF_draw_default(xoffset, yoffset, 0.0f, info, sizeof(info)); - BLF_disable(font_id, BLF_SHADOW); - } - } + BLF_disable(font_id, BLF_SHADOW); + } + } } static void use_drw_engine(DrawEngineType *engine) { - LinkData *ld = MEM_callocN(sizeof(LinkData), "enabled engine link data"); - ld->data = engine; - BLI_addtail(&DST.enabled_engines, ld); + LinkData *ld = MEM_callocN(sizeof(LinkData), "enabled engine link data"); + ld->data = engine; + BLI_addtail(&DST.enabled_engines, ld); } /** @@ -1174,172 +1181,174 @@ static void use_drw_engine(DrawEngineType *engine) */ static void drw_engines_enable_external(void) { - use_drw_engine(DRW_engine_viewport_external_type.draw_engine); + use_drw_engine(DRW_engine_viewport_external_type.draw_engine); } /* TODO revisit this when proper layering is implemented */ /* Gather all draw engines needed and store them in DST.enabled_engines * That also define the rendering order of engines */ -static void drw_engines_enable_from_engine(RenderEngineType *engine_type, int drawtype, bool use_xray) -{ - switch (drawtype) { - case OB_WIRE: - use_drw_engine(&draw_engine_workbench_transparent); - break; - - case OB_SOLID: - if (use_xray) { - use_drw_engine(&draw_engine_workbench_transparent); - } - else { - use_drw_engine(&draw_engine_workbench_solid); - } - break; - - case OB_MATERIAL: - case OB_RENDER: - default: - /* TODO layers */ - if (engine_type->draw_engine != NULL) { - use_drw_engine(engine_type->draw_engine); - } - - if ((engine_type->flag & RE_INTERNAL) == 0) { - drw_engines_enable_external(); - } - break; - } +static void drw_engines_enable_from_engine(RenderEngineType *engine_type, + int drawtype, + bool use_xray) +{ + switch (drawtype) { + case OB_WIRE: + use_drw_engine(&draw_engine_workbench_transparent); + break; + + case OB_SOLID: + if (use_xray) { + use_drw_engine(&draw_engine_workbench_transparent); + } + else { + use_drw_engine(&draw_engine_workbench_solid); + } + break; + + case OB_MATERIAL: + case OB_RENDER: + default: + /* TODO layers */ + if (engine_type->draw_engine != NULL) { + use_drw_engine(engine_type->draw_engine); + } + + if ((engine_type->flag & RE_INTERNAL) == 0) { + drw_engines_enable_external(); + } + break; + } } static void drw_engines_enable_from_object_mode(void) { - use_drw_engine(&draw_engine_object_type); - /* TODO(fclem) remove this, it does not belong to it's own engine. */ - use_drw_engine(&draw_engine_motion_path_type); + use_drw_engine(&draw_engine_object_type); + /* TODO(fclem) remove this, it does not belong to it's own engine. */ + use_drw_engine(&draw_engine_motion_path_type); } static void drw_engines_enable_from_paint_mode(int mode) { - switch (mode) { - case CTX_MODE_SCULPT: - use_drw_engine(&draw_engine_sculpt_type); - break; - case CTX_MODE_PAINT_WEIGHT: - case CTX_MODE_PAINT_VERTEX: - use_drw_engine(&draw_engine_paint_vertex_type); - break; - case CTX_MODE_PAINT_TEXTURE: - use_drw_engine(&draw_engine_paint_texture_type); - break; - default: - break; - } + switch (mode) { + case CTX_MODE_SCULPT: + use_drw_engine(&draw_engine_sculpt_type); + break; + case CTX_MODE_PAINT_WEIGHT: + case CTX_MODE_PAINT_VERTEX: + use_drw_engine(&draw_engine_paint_vertex_type); + break; + case CTX_MODE_PAINT_TEXTURE: + use_drw_engine(&draw_engine_paint_texture_type); + break; + default: + break; + } } static void drw_engines_enable_from_mode(int mode) { - switch (mode) { - case CTX_MODE_EDIT_MESH: - use_drw_engine(&draw_engine_edit_mesh_type); - break; - case CTX_MODE_EDIT_SURFACE: - case CTX_MODE_EDIT_CURVE: - use_drw_engine(&draw_engine_edit_curve_type); - break; - case CTX_MODE_EDIT_TEXT: - use_drw_engine(&draw_engine_edit_text_type); - break; - case CTX_MODE_EDIT_ARMATURE: - use_drw_engine(&draw_engine_edit_armature_type); - break; - case CTX_MODE_EDIT_METABALL: - use_drw_engine(&draw_engine_edit_metaball_type); - break; - case CTX_MODE_EDIT_LATTICE: - use_drw_engine(&draw_engine_edit_lattice_type); - break; - case CTX_MODE_PARTICLE: - use_drw_engine(&draw_engine_particle_type); - break; - case CTX_MODE_POSE: - case CTX_MODE_PAINT_WEIGHT: - /* The pose engine clears the depth of the default framebuffer - * to draw an object with `OB_DRAWXRAY`. - * (different of workbench that has its own framebuffer). - * So make sure you call its `draw_scene` after all the other engines. */ - use_drw_engine(&draw_engine_pose_type); - break; - case CTX_MODE_SCULPT: - case CTX_MODE_PAINT_VERTEX: - case CTX_MODE_PAINT_TEXTURE: - case CTX_MODE_OBJECT: - case CTX_MODE_PAINT_GPENCIL: - case CTX_MODE_EDIT_GPENCIL: - case CTX_MODE_SCULPT_GPENCIL: - case CTX_MODE_WEIGHT_GPENCIL: - break; - default: - BLI_assert(!"Draw mode invalid"); - break; - } + switch (mode) { + case CTX_MODE_EDIT_MESH: + use_drw_engine(&draw_engine_edit_mesh_type); + break; + case CTX_MODE_EDIT_SURFACE: + case CTX_MODE_EDIT_CURVE: + use_drw_engine(&draw_engine_edit_curve_type); + break; + case CTX_MODE_EDIT_TEXT: + use_drw_engine(&draw_engine_edit_text_type); + break; + case CTX_MODE_EDIT_ARMATURE: + use_drw_engine(&draw_engine_edit_armature_type); + break; + case CTX_MODE_EDIT_METABALL: + use_drw_engine(&draw_engine_edit_metaball_type); + break; + case CTX_MODE_EDIT_LATTICE: + use_drw_engine(&draw_engine_edit_lattice_type); + break; + case CTX_MODE_PARTICLE: + use_drw_engine(&draw_engine_particle_type); + break; + case CTX_MODE_POSE: + case CTX_MODE_PAINT_WEIGHT: + /* The pose engine clears the depth of the default framebuffer + * to draw an object with `OB_DRAWXRAY`. + * (different of workbench that has its own framebuffer). + * So make sure you call its `draw_scene` after all the other engines. */ + use_drw_engine(&draw_engine_pose_type); + break; + case CTX_MODE_SCULPT: + case CTX_MODE_PAINT_VERTEX: + case CTX_MODE_PAINT_TEXTURE: + case CTX_MODE_OBJECT: + case CTX_MODE_PAINT_GPENCIL: + case CTX_MODE_EDIT_GPENCIL: + case CTX_MODE_SCULPT_GPENCIL: + case CTX_MODE_WEIGHT_GPENCIL: + break; + default: + BLI_assert(!"Draw mode invalid"); + break; + } } static void drw_engines_enable_from_overlays(int UNUSED(overlay_flag)) { - use_drw_engine(&draw_engine_overlay_type); + use_drw_engine(&draw_engine_overlay_type); } /** * Use for select and depth-drawing. */ static void drw_engines_enable_basic(void) { - use_drw_engine(DRW_engine_viewport_basic_type.draw_engine); + use_drw_engine(DRW_engine_viewport_basic_type.draw_engine); } static void drw_engines_enable(ViewLayer *view_layer, RenderEngineType *engine_type) { - Object *obact = OBACT(view_layer); - const enum eContextObjectMode mode = CTX_data_mode_enum_ex( - DST.draw_ctx.object_edit, obact, DST.draw_ctx.object_mode); - View3D *v3d = DST.draw_ctx.v3d; - const int drawtype = v3d->shading.type; - const bool use_xray = XRAY_ENABLED(v3d); - - drw_engines_enable_from_engine(engine_type, drawtype, use_xray); - /* grease pencil */ - use_drw_engine(&draw_engine_gpencil_type); - - if (DRW_state_draw_support()) { - /* Draw paint modes first so that they are drawn below the wireframes. */ - drw_engines_enable_from_paint_mode(mode); - drw_engines_enable_from_overlays(v3d->overlay.flag); - drw_engines_enable_from_object_mode(); - drw_engines_enable_from_mode(mode); - } - else { - /* Force enable overlays engine for wireframe mode */ - if (v3d->shading.type == OB_WIRE) { - drw_engines_enable_from_overlays(v3d->overlay.flag); - } - } + Object *obact = OBACT(view_layer); + const enum eContextObjectMode mode = CTX_data_mode_enum_ex( + DST.draw_ctx.object_edit, obact, DST.draw_ctx.object_mode); + View3D *v3d = DST.draw_ctx.v3d; + const int drawtype = v3d->shading.type; + const bool use_xray = XRAY_ENABLED(v3d); + + drw_engines_enable_from_engine(engine_type, drawtype, use_xray); + /* grease pencil */ + use_drw_engine(&draw_engine_gpencil_type); + + if (DRW_state_draw_support()) { + /* Draw paint modes first so that they are drawn below the wireframes. */ + drw_engines_enable_from_paint_mode(mode); + drw_engines_enable_from_overlays(v3d->overlay.flag); + drw_engines_enable_from_object_mode(); + drw_engines_enable_from_mode(mode); + } + else { + /* Force enable overlays engine for wireframe mode */ + if (v3d->shading.type == OB_WIRE) { + drw_engines_enable_from_overlays(v3d->overlay.flag); + } + } } static void drw_engines_disable(void) { - BLI_freelistN(&DST.enabled_engines); + BLI_freelistN(&DST.enabled_engines); } static uint DRW_engines_get_hash(void) { - uint hash = 0; - /* The cache depends on enabled engines */ - /* FIXME : if collision occurs ... segfault */ - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *engine = link->data; - hash += BLI_ghashutil_strhash_p(engine->idname); - } + uint hash = 0; + /* The cache depends on enabled engines */ + /* FIXME : if collision occurs ... segfault */ + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *engine = link->data; + hash += BLI_ghashutil_strhash_p(engine->idname); + } - return hash; + return hash; } /* -------------------------------------------------------------------- */ @@ -1348,54 +1357,59 @@ static uint DRW_engines_get_hash(void) void DRW_notify_view_update(const DRWUpdateContext *update_ctx) { - RenderEngineType *engine_type = update_ctx->engine_type; - ARegion *ar = update_ctx->ar; - View3D *v3d = update_ctx->v3d; - RegionView3D *rv3d = ar->regiondata; - Depsgraph *depsgraph = update_ctx->depsgraph; - Scene *scene = update_ctx->scene; - ViewLayer *view_layer = update_ctx->view_layer; - - /* Separate update for each stereo view. */ - for (int view = 0; view < 2; view++) { - GPUViewport *viewport = WM_draw_region_get_viewport(ar, view); - if (!viewport) { - continue; - } - - /* XXX Really nasty locking. But else this could - * be executed by the material previews thread - * while rendering a viewport. */ - BLI_ticket_mutex_lock(DST.gl_context_mutex); - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - - DST.viewport = viewport; - DST.draw_ctx = (DRWContextState){ - .ar = ar, .rv3d = rv3d, .v3d = v3d, - .scene = scene, .view_layer = view_layer, .obact = OBACT(view_layer), - .engine_type = engine_type, - .depsgraph = depsgraph, .object_mode = OB_MODE_OBJECT, - }; - - drw_engines_enable(view_layer, engine_type); - - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - DrawEngineType *draw_engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine); - - if (draw_engine->view_update) { - draw_engine->view_update(data); - } - } - - DST.viewport = NULL; - - drw_engines_disable(); - - BLI_ticket_mutex_unlock(DST.gl_context_mutex); - } + RenderEngineType *engine_type = update_ctx->engine_type; + ARegion *ar = update_ctx->ar; + View3D *v3d = update_ctx->v3d; + RegionView3D *rv3d = ar->regiondata; + Depsgraph *depsgraph = update_ctx->depsgraph; + Scene *scene = update_ctx->scene; + ViewLayer *view_layer = update_ctx->view_layer; + + /* Separate update for each stereo view. */ + for (int view = 0; view < 2; view++) { + GPUViewport *viewport = WM_draw_region_get_viewport(ar, view); + if (!viewport) { + continue; + } + + /* XXX Really nasty locking. But else this could + * be executed by the material previews thread + * while rendering a viewport. */ + BLI_ticket_mutex_lock(DST.gl_context_mutex); + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + + DST.viewport = viewport; + DST.draw_ctx = (DRWContextState){ + .ar = ar, + .rv3d = rv3d, + .v3d = v3d, + .scene = scene, + .view_layer = view_layer, + .obact = OBACT(view_layer), + .engine_type = engine_type, + .depsgraph = depsgraph, + .object_mode = OB_MODE_OBJECT, + }; + + drw_engines_enable(view_layer, engine_type); + + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + DrawEngineType *draw_engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine); + + if (draw_engine->view_update) { + draw_engine->view_update(data); + } + } + + DST.viewport = NULL; + + drw_engines_disable(); + + BLI_ticket_mutex_unlock(DST.gl_context_mutex); + } } /** \} */ @@ -1409,1173 +1423,1168 @@ void DRW_notify_view_update(const DRWUpdateContext *update_ctx) * for each relevant engine / mode engine. */ void DRW_draw_view(const bContext *C) { - Depsgraph *depsgraph = CTX_data_depsgraph(C); - ARegion *ar = CTX_wm_region(C); - View3D *v3d = CTX_wm_view3d(C); - Scene *scene = DEG_get_evaluated_scene(depsgraph); - RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); - GPUViewport *viewport = WM_draw_region_get_bound_viewport(ar); + Depsgraph *depsgraph = CTX_data_depsgraph(C); + ARegion *ar = CTX_wm_region(C); + View3D *v3d = CTX_wm_view3d(C); + Scene *scene = DEG_get_evaluated_scene(depsgraph); + RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); + GPUViewport *viewport = WM_draw_region_get_bound_viewport(ar); - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - DST.options.draw_text = ( - (v3d->flag2 & V3D_HIDE_OVERLAYS) == 0 && - (v3d->overlay.flag & V3D_OVERLAY_HIDE_TEXT) != 0); - DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, viewport, C); + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + DST.options.draw_text = ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0 && + (v3d->overlay.flag & V3D_OVERLAY_HIDE_TEXT) != 0); + DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, viewport, C); } /** * Used for both regular and off-screen drawing. * Need to reset DST before calling this function */ -void DRW_draw_render_loop_ex( - struct Depsgraph *depsgraph, - RenderEngineType *engine_type, - ARegion *ar, View3D *v3d, - GPUViewport *viewport, - const bContext *evil_C) -{ - - Scene *scene = DEG_get_evaluated_scene(depsgraph); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - RegionView3D *rv3d = ar->regiondata; - const bool do_annotations = ( - ((v3d->flag2 & V3D_SHOW_ANNOTATION) != 0) && - ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0)); - const bool do_camera_frame = !DST.options.is_image_render; - - DST.draw_ctx.evil_C = evil_C; - DST.viewport = viewport; - - /* Setup viewport */ - GPU_viewport_engines_data_validate(DST.viewport, DRW_engines_get_hash()); - - DST.draw_ctx = (DRWContextState){ - .ar = ar, .rv3d = rv3d, .v3d = v3d, - .scene = scene, .view_layer = view_layer, .obact = OBACT(view_layer), - .engine_type = engine_type, - .depsgraph = depsgraph, - - /* reuse if caller sets */ - .evil_C = DST.draw_ctx.evil_C, - }; - drw_context_state_init(); - drw_viewport_var_init(); - - /* Get list of enabled engines */ - drw_engines_enable(view_layer, engine_type); - - /* Update ubos */ - DRW_globals_update(); - - drw_debug_init(); - DRW_hair_init(); - - /* No framebuffer allowed before drawing. */ - BLI_assert(GPU_framebuffer_active_get() == NULL); - - /* Init engines */ - drw_engines_init(); - - /* Cache filling */ - { - PROFILE_START(stime); - drw_engines_cache_init(); - drw_engines_world_update(scene); - - const int object_type_exclude_viewport = v3d->object_type_exclude_viewport; - DEG_OBJECT_ITER_BEGIN(depsgraph, ob, - DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | - DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | - DEG_ITER_OBJECT_FLAG_VISIBLE | - DEG_ITER_OBJECT_FLAG_DUPLI) - { - if ((object_type_exclude_viewport & (1 << ob->type)) != 0) { - continue; - } - if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { - continue; - } - DST.dupli_parent = data_.dupli_parent; - DST.dupli_source = data_.dupli_object_current; - drw_engines_cache_populate(ob); - } - DEG_OBJECT_ITER_END; - - drw_engines_cache_finish(); - - DRW_render_instance_buffer_finish(); +void DRW_draw_render_loop_ex(struct Depsgraph *depsgraph, + RenderEngineType *engine_type, + ARegion *ar, + View3D *v3d, + GPUViewport *viewport, + const bContext *evil_C) +{ + + Scene *scene = DEG_get_evaluated_scene(depsgraph); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + RegionView3D *rv3d = ar->regiondata; + const bool do_annotations = (((v3d->flag2 & V3D_SHOW_ANNOTATION) != 0) && + ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0)); + const bool do_camera_frame = !DST.options.is_image_render; + + DST.draw_ctx.evil_C = evil_C; + DST.viewport = viewport; + + /* Setup viewport */ + GPU_viewport_engines_data_validate(DST.viewport, DRW_engines_get_hash()); + + DST.draw_ctx = (DRWContextState){ + .ar = ar, + .rv3d = rv3d, + .v3d = v3d, + .scene = scene, + .view_layer = view_layer, + .obact = OBACT(view_layer), + .engine_type = engine_type, + .depsgraph = depsgraph, + + /* reuse if caller sets */ + .evil_C = DST.draw_ctx.evil_C, + }; + drw_context_state_init(); + drw_viewport_var_init(); + + /* Get list of enabled engines */ + drw_engines_enable(view_layer, engine_type); + + /* Update ubos */ + DRW_globals_update(); + + drw_debug_init(); + DRW_hair_init(); + + /* No framebuffer allowed before drawing. */ + BLI_assert(GPU_framebuffer_active_get() == NULL); + + /* Init engines */ + drw_engines_init(); + + /* Cache filling */ + { + PROFILE_START(stime); + drw_engines_cache_init(); + drw_engines_world_update(scene); + + const int object_type_exclude_viewport = v3d->object_type_exclude_viewport; + DEG_OBJECT_ITER_BEGIN (depsgraph, + ob, + DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | + DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | DEG_ITER_OBJECT_FLAG_VISIBLE | + DEG_ITER_OBJECT_FLAG_DUPLI) { + if ((object_type_exclude_viewport & (1 << ob->type)) != 0) { + continue; + } + if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { + continue; + } + DST.dupli_parent = data_.dupli_parent; + DST.dupli_source = data_.dupli_object_current; + drw_engines_cache_populate(ob); + } + DEG_OBJECT_ITER_END; + + drw_engines_cache_finish(); + + DRW_render_instance_buffer_finish(); #ifdef USE_PROFILE - double *cache_time = GPU_viewport_cache_time_get(DST.viewport); - PROFILE_END_UPDATE(*cache_time, stime); + double *cache_time = GPU_viewport_cache_time_get(DST.viewport); + PROFILE_END_UPDATE(*cache_time, stime); #endif - } + } - DRW_stats_begin(); + DRW_stats_begin(); - GPU_framebuffer_bind(DST.default_framebuffer); + GPU_framebuffer_bind(DST.default_framebuffer); - /* Start Drawing */ - DRW_state_reset(); + /* Start Drawing */ + DRW_state_reset(); - DRW_hair_update(); + DRW_hair_update(); - drw_engines_draw_background(); + drw_engines_draw_background(); - /* WIP, single image drawn over the camera view (replace) */ - bool do_bg_image = false; - if (rv3d->persp == RV3D_CAMOB) { - Object *cam_ob = v3d->camera; - if (cam_ob && cam_ob->type == OB_CAMERA) { - Camera *cam = cam_ob->data; - if (!BLI_listbase_is_empty(&cam->bg_images)) { - do_bg_image = true; - } - } - } + /* WIP, single image drawn over the camera view (replace) */ + bool do_bg_image = false; + if (rv3d->persp == RV3D_CAMOB) { + Object *cam_ob = v3d->camera; + if (cam_ob && cam_ob->type == OB_CAMERA) { + Camera *cam = cam_ob->data; + if (!BLI_listbase_is_empty(&cam->bg_images)) { + do_bg_image = true; + } + } + } - GPU_framebuffer_bind(DST.default_framebuffer); + GPU_framebuffer_bind(DST.default_framebuffer); - if (do_bg_image) { - ED_view3d_draw_bgpic_test(scene, depsgraph, ar, v3d, false, do_camera_frame); - } + if (do_bg_image) { + ED_view3d_draw_bgpic_test(scene, depsgraph, ar, v3d, false, do_camera_frame); + } - DRW_draw_callbacks_pre_scene(); - if (DST.draw_ctx.evil_C) { - ED_region_draw_cb_draw(DST.draw_ctx.evil_C, DST.draw_ctx.ar, REGION_DRAW_PRE_VIEW); - } + DRW_draw_callbacks_pre_scene(); + if (DST.draw_ctx.evil_C) { + ED_region_draw_cb_draw(DST.draw_ctx.evil_C, DST.draw_ctx.ar, REGION_DRAW_PRE_VIEW); + } - drw_engines_draw_scene(); + drw_engines_draw_scene(); #ifdef __APPLE__ - /* Fix 3D view being "laggy" on macos. (See T56996) */ - GPU_flush(); + /* Fix 3D view being "laggy" on macos. (See T56996) */ + GPU_flush(); #endif - /* annotations - temporary drawing buffer (3d space) */ - /* XXX: Or should we use a proper draw/overlay engine for this case? */ - if (do_annotations) { - GPU_depth_test(false); - /* XXX: as scene->gpd is not copied for COW yet */ - ED_annotation_draw_view3d(DEG_get_input_scene(depsgraph), depsgraph, v3d, ar, true); - GPU_depth_test(true); - } - - DRW_draw_callbacks_post_scene(); - if (DST.draw_ctx.evil_C) { - DRW_state_reset(); - ED_region_draw_cb_draw(DST.draw_ctx.evil_C, DST.draw_ctx.ar, REGION_DRAW_POST_VIEW); - /* Callback can be nasty and do whatever they want with the state. - * Don't trust them! */ - DRW_state_reset(); - } - - DRW_state_reset(); - - drw_debug_draw(); - - GPU_depth_test(false); - drw_engines_draw_text(); - GPU_depth_test(true); - - if (DST.draw_ctx.evil_C) { - /* needed so gizmo isn't obscured */ - if ((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) { - glDisable(GL_DEPTH_TEST); - DRW_draw_gizmo_3d(); - } - - DRW_draw_region_info(); - - /* annotations - temporary drawing buffer (screenspace) */ - /* XXX: Or should we use a proper draw/overlay engine for this case? */ - if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && - (do_annotations)) - { - GPU_depth_test(false); - /* XXX: as scene->gpd is not copied for COW yet */ - ED_annotation_draw_view3d(DEG_get_input_scene(depsgraph), depsgraph, v3d, ar, false); - GPU_depth_test(true); - } - - if ((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) { - /* Draw 2D after region info so we can draw on top of the camera passepartout overlay. - * 'DRW_draw_region_info' sets the projection in pixel-space. */ - GPU_depth_test(false); - DRW_draw_gizmo_2d(); - GPU_depth_test(true); - } - } - - DRW_stats_reset(); - - if (do_bg_image) { - ED_view3d_draw_bgpic_test(scene, depsgraph, ar, v3d, true, do_camera_frame); - } - - if (G.debug_value > 20 && G.debug_value < 30) { - GPU_depth_test(false); - rcti rect; /* local coordinate visible rect inside region, to accommodate overlapping ui */ - ED_region_visible_rect(DST.draw_ctx.ar, &rect); - DRW_stats_draw(&rect); - GPU_depth_test(true); - } - - if (WM_draw_region_get_bound_viewport(ar)) { - /* Don't unbind the framebuffer yet in this case and let - * GPU_viewport_unbind do it, so that we can still do further - * drawing of action zones on top. */ - } - else { - GPU_framebuffer_restore(); - } - - DRW_state_reset(); - drw_engines_disable(); - - drw_viewport_cache_resize(); + /* annotations - temporary drawing buffer (3d space) */ + /* XXX: Or should we use a proper draw/overlay engine for this case? */ + if (do_annotations) { + GPU_depth_test(false); + /* XXX: as scene->gpd is not copied for COW yet */ + ED_annotation_draw_view3d(DEG_get_input_scene(depsgraph), depsgraph, v3d, ar, true); + GPU_depth_test(true); + } + + DRW_draw_callbacks_post_scene(); + if (DST.draw_ctx.evil_C) { + DRW_state_reset(); + ED_region_draw_cb_draw(DST.draw_ctx.evil_C, DST.draw_ctx.ar, REGION_DRAW_POST_VIEW); + /* Callback can be nasty and do whatever they want with the state. + * Don't trust them! */ + DRW_state_reset(); + } + + DRW_state_reset(); + + drw_debug_draw(); + + GPU_depth_test(false); + drw_engines_draw_text(); + GPU_depth_test(true); + + if (DST.draw_ctx.evil_C) { + /* needed so gizmo isn't obscured */ + if ((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) { + glDisable(GL_DEPTH_TEST); + DRW_draw_gizmo_3d(); + } + + DRW_draw_region_info(); + + /* annotations - temporary drawing buffer (screenspace) */ + /* XXX: Or should we use a proper draw/overlay engine for this case? */ + if (((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0) && (do_annotations)) { + GPU_depth_test(false); + /* XXX: as scene->gpd is not copied for COW yet */ + ED_annotation_draw_view3d(DEG_get_input_scene(depsgraph), depsgraph, v3d, ar, false); + GPU_depth_test(true); + } + + if ((v3d->gizmo_flag & V3D_GIZMO_HIDE) == 0) { + /* Draw 2D after region info so we can draw on top of the camera passepartout overlay. + * 'DRW_draw_region_info' sets the projection in pixel-space. */ + GPU_depth_test(false); + DRW_draw_gizmo_2d(); + GPU_depth_test(true); + } + } + + DRW_stats_reset(); + + if (do_bg_image) { + ED_view3d_draw_bgpic_test(scene, depsgraph, ar, v3d, true, do_camera_frame); + } + + if (G.debug_value > 20 && G.debug_value < 30) { + GPU_depth_test(false); + rcti rect; /* local coordinate visible rect inside region, to accommodate overlapping ui */ + ED_region_visible_rect(DST.draw_ctx.ar, &rect); + DRW_stats_draw(&rect); + GPU_depth_test(true); + } + + if (WM_draw_region_get_bound_viewport(ar)) { + /* Don't unbind the framebuffer yet in this case and let + * GPU_viewport_unbind do it, so that we can still do further + * drawing of action zones on top. */ + } + else { + GPU_framebuffer_restore(); + } + + DRW_state_reset(); + drw_engines_disable(); + + drw_viewport_cache_resize(); #ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); #endif } -void DRW_draw_render_loop( - struct Depsgraph *depsgraph, - ARegion *ar, View3D *v3d, - GPUViewport *viewport) +void DRW_draw_render_loop(struct Depsgraph *depsgraph, + ARegion *ar, + View3D *v3d, + GPUViewport *viewport) { - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); - Scene *scene = DEG_get_evaluated_scene(depsgraph); - RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); + Scene *scene = DEG_get_evaluated_scene(depsgraph); + RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); - DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, viewport, NULL); + DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, viewport, NULL); } /* @viewport CAN be NULL, in this case we create one. */ -void DRW_draw_render_loop_offscreen( - struct Depsgraph *depsgraph, RenderEngineType *engine_type, - ARegion *ar, View3D *v3d, - const bool draw_background, - const bool do_color_management, - GPUOffScreen *ofs, - GPUViewport *viewport) -{ - /* Create temporary viewport if needed. */ - GPUViewport *render_viewport = viewport; - if (viewport == NULL) { - render_viewport = GPU_viewport_create_from_offscreen(ofs); - } - - GPU_framebuffer_restore(); - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - /* WATCH: Force color management to output CManaged byte buffer by - * forcing is_image_render to false. */ - DST.options.is_image_render = !do_color_management; - DST.options.draw_background = draw_background; - DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, render_viewport, NULL); - - /* Free temporary viewport. */ - if (viewport == NULL) { - /* don't free data owned by 'ofs' */ - GPU_viewport_clear_from_offscreen(render_viewport); - GPU_viewport_free(render_viewport); - } - - /* we need to re-bind (annoying!) */ - GPU_offscreen_bind(ofs, false); +void DRW_draw_render_loop_offscreen(struct Depsgraph *depsgraph, + RenderEngineType *engine_type, + ARegion *ar, + View3D *v3d, + const bool draw_background, + const bool do_color_management, + GPUOffScreen *ofs, + GPUViewport *viewport) +{ + /* Create temporary viewport if needed. */ + GPUViewport *render_viewport = viewport; + if (viewport == NULL) { + render_viewport = GPU_viewport_create_from_offscreen(ofs); + } + + GPU_framebuffer_restore(); + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + /* WATCH: Force color management to output CManaged byte buffer by + * forcing is_image_render to false. */ + DST.options.is_image_render = !do_color_management; + DST.options.draw_background = draw_background; + DRW_draw_render_loop_ex(depsgraph, engine_type, ar, v3d, render_viewport, NULL); + + /* Free temporary viewport. */ + if (viewport == NULL) { + /* don't free data owned by 'ofs' */ + GPU_viewport_clear_from_offscreen(render_viewport); + GPU_viewport_free(render_viewport); + } + + /* we need to re-bind (annoying!) */ + GPU_offscreen_bind(ofs, false); } /* Helper to check if exit object type to render. */ bool DRW_render_check_grease_pencil(Depsgraph *depsgraph) { - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN(depsgraph, ob) - { - if (ob->type == OB_GPENCIL) { - if (DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF) { - return true; - } - } - } - DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_BEGIN (depsgraph, ob) { + if (ob->type == OB_GPENCIL) { + if (DRW_object_visibility_in_active_context(ob) & OB_VISIBLE_SELF) { + return true; + } + } + } + DEG_OBJECT_ITER_FOR_RENDER_ENGINE_END; - return false; + return false; } -static void DRW_render_gpencil_to_image(RenderEngine *engine, struct RenderLayer *render_layer, const rcti *rect) +static void DRW_render_gpencil_to_image(RenderEngine *engine, + struct RenderLayer *render_layer, + const rcti *rect) { - if (draw_engine_gpencil_type.render_to_image) { - ViewportEngineData *gpdata = drw_viewport_engine_data_ensure(&draw_engine_gpencil_type); - draw_engine_gpencil_type.render_to_image(gpdata, engine, render_layer, rect); - } + if (draw_engine_gpencil_type.render_to_image) { + ViewportEngineData *gpdata = drw_viewport_engine_data_ensure(&draw_engine_gpencil_type); + draw_engine_gpencil_type.render_to_image(gpdata, engine, render_layer, rect); + } } void DRW_render_gpencil(struct RenderEngine *engine, struct Depsgraph *depsgraph) { - /* This function is only valid for Cycles - * Eevee done all work in the Eevee render directly. - * Maybe it can be done equal for both engines? - */ - if (STREQ(engine->type->name, "Eevee")) { - return; - } - - /* Early out if there are no grease pencil objects, especially important - * to avoid failing in in background renders without OpenGL context. */ - if (!DRW_render_check_grease_pencil(depsgraph)) { - return; - } - - Scene *scene = DEG_get_evaluated_scene(depsgraph); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - RenderEngineType *engine_type = engine->type; - RenderData *r = &scene->r; - Render *render = engine->re; - /* Changing Context */ - if (G.background && DST.gl_context == NULL) { - WM_init_opengl(G_MAIN); - } - - void *re_gl_context = RE_gl_context_get(render); - void *re_gpu_context = NULL; - - /* Changing Context */ - if (re_gl_context != NULL) { - DRW_opengl_render_context_enable(re_gl_context); - /* We need to query gpu context after a gl context has been bound. */ - re_gpu_context = RE_gpu_context_get(render); - DRW_gawain_render_context_enable(re_gpu_context); - } - else { - DRW_opengl_context_enable(); - } - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - DST.options.is_image_render = true; - DST.options.is_scene_render = true; - DST.options.draw_background = scene->r.alphamode == R_ADDSKY; - DST.buffer_finish_called = true; - - DST.draw_ctx = (DRWContextState) { - .scene = scene, .view_layer = view_layer, - .engine_type = engine_type, - .depsgraph = depsgraph, .object_mode = OB_MODE_OBJECT, - }; - drw_context_state_init(); - - DST.viewport = GPU_viewport_create(); - const int size[2] = { (r->size * r->xsch) / 100, (r->size * r->ysch) / 100 }; - GPU_viewport_size_set(DST.viewport, size); - - drw_viewport_var_init(); - - /* Main rendering. */ - rctf view_rect; - rcti render_rect; - RE_GetViewPlane(render, &view_rect, &render_rect); - if (BLI_rcti_is_empty(&render_rect)) { - BLI_rcti_init(&render_rect, 0, size[0], 0, size[1]); - } - - RenderResult *render_result = RE_engine_get_result(engine); - RenderLayer *render_layer = render_result->layers.first; - - DRW_render_gpencil_to_image(engine, render_layer, &render_rect); - - /* Force cache to reset. */ - drw_viewport_cache_resize(); - GPU_viewport_free(DST.viewport); - DRW_state_reset(); - - glDisable(GL_DEPTH_TEST); - - /* Restore Drawing area. */ - GPU_framebuffer_restore(); - - /* Changing Context */ - /* GPXX Review this context */ - DRW_opengl_context_disable(); - - DST.buffer_finish_called = false; + /* This function is only valid for Cycles + * Eevee done all work in the Eevee render directly. + * Maybe it can be done equal for both engines? + */ + if (STREQ(engine->type->name, "Eevee")) { + return; + } + + /* Early out if there are no grease pencil objects, especially important + * to avoid failing in in background renders without OpenGL context. */ + if (!DRW_render_check_grease_pencil(depsgraph)) { + return; + } + + Scene *scene = DEG_get_evaluated_scene(depsgraph); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + RenderEngineType *engine_type = engine->type; + RenderData *r = &scene->r; + Render *render = engine->re; + /* Changing Context */ + if (G.background && DST.gl_context == NULL) { + WM_init_opengl(G_MAIN); + } + + void *re_gl_context = RE_gl_context_get(render); + void *re_gpu_context = NULL; + + /* Changing Context */ + if (re_gl_context != NULL) { + DRW_opengl_render_context_enable(re_gl_context); + /* We need to query gpu context after a gl context has been bound. */ + re_gpu_context = RE_gpu_context_get(render); + DRW_gawain_render_context_enable(re_gpu_context); + } + else { + DRW_opengl_context_enable(); + } + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + DST.options.is_image_render = true; + DST.options.is_scene_render = true; + DST.options.draw_background = scene->r.alphamode == R_ADDSKY; + DST.buffer_finish_called = true; + + DST.draw_ctx = (DRWContextState){ + .scene = scene, + .view_layer = view_layer, + .engine_type = engine_type, + .depsgraph = depsgraph, + .object_mode = OB_MODE_OBJECT, + }; + drw_context_state_init(); + + DST.viewport = GPU_viewport_create(); + const int size[2] = {(r->size * r->xsch) / 100, (r->size * r->ysch) / 100}; + GPU_viewport_size_set(DST.viewport, size); + + drw_viewport_var_init(); + + /* Main rendering. */ + rctf view_rect; + rcti render_rect; + RE_GetViewPlane(render, &view_rect, &render_rect); + if (BLI_rcti_is_empty(&render_rect)) { + BLI_rcti_init(&render_rect, 0, size[0], 0, size[1]); + } + + RenderResult *render_result = RE_engine_get_result(engine); + RenderLayer *render_layer = render_result->layers.first; + + DRW_render_gpencil_to_image(engine, render_layer, &render_rect); + + /* Force cache to reset. */ + drw_viewport_cache_resize(); + GPU_viewport_free(DST.viewport); + DRW_state_reset(); + + glDisable(GL_DEPTH_TEST); + + /* Restore Drawing area. */ + GPU_framebuffer_restore(); + + /* Changing Context */ + /* GPXX Review this context */ + DRW_opengl_context_disable(); + + DST.buffer_finish_called = false; } void DRW_render_to_image(RenderEngine *engine, struct Depsgraph *depsgraph) { - Scene *scene = DEG_get_evaluated_scene(depsgraph); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - RenderEngineType *engine_type = engine->type; - DrawEngineType *draw_engine_type = engine_type->draw_engine; - Render *render = engine->re; - - if (G.background && DST.gl_context == NULL) { - WM_init_opengl(G_MAIN); - } - - void *re_gl_context = RE_gl_context_get(render); - void *re_gpu_context = NULL; - - /* Changing Context */ - if (re_gl_context != NULL) { - DRW_opengl_render_context_enable(re_gl_context); - /* We need to query gpu context after a gl context has been bound. */ - re_gpu_context = RE_gpu_context_get(render); - DRW_gawain_render_context_enable(re_gpu_context); - } - else { - DRW_opengl_context_enable(); - } - - /* IMPORTANT: We dont support immediate mode in render mode! - * This shall remain in effect until immediate mode supports - * multiple threads. */ - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - DST.options.is_image_render = true; - DST.options.is_scene_render = true; - DST.options.draw_background = scene->r.alphamode == R_ADDSKY; - - DST.draw_ctx = (DRWContextState){ - .scene = scene, .view_layer = view_layer, - .engine_type = engine_type, - .depsgraph = depsgraph, .object_mode = OB_MODE_OBJECT, - }; - drw_context_state_init(); - - DST.viewport = GPU_viewport_create(); - const int size[2] = {engine->resolution_x, engine->resolution_y}; - GPU_viewport_size_set(DST.viewport, size); - - drw_viewport_var_init(); - - ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine_type); - - /* set default viewport */ - glViewport(0, 0, size[0], size[1]); - - /* Main rendering. */ - rctf view_rect; - rcti render_rect; - RE_GetViewPlane(render, &view_rect, &render_rect); - if (BLI_rcti_is_empty(&render_rect)) { - BLI_rcti_init(&render_rect, 0, size[0], 0, size[1]); - } - - /* Reset state before drawing */ - DRW_state_reset(); - - /* Init render result. */ - RenderResult *render_result = RE_engine_begin_result( - engine, - 0, - 0, - (int)size[0], - (int)size[1], - view_layer->name, - /* RR_ALL_VIEWS */ NULL); - - RenderLayer *render_layer = render_result->layers.first; - for (RenderView *render_view = render_result->views.first; - render_view != NULL; - render_view = render_view->next) - { - RE_SetActiveRenderView(render, render_view->name); - engine_type->draw_engine->render_to_image(data, engine, render_layer, &render_rect); - /* grease pencil: render result is merged in the previous render result. */ - if (DRW_render_check_grease_pencil(depsgraph)) { - DRW_state_reset(); - DRW_render_gpencil_to_image(engine, render_layer, &render_rect); - } - DST.buffer_finish_called = false; - } - - RE_engine_end_result(engine, render_result, false, false, false); - - /* Force cache to reset. */ - drw_viewport_cache_resize(); - - GPU_viewport_free(DST.viewport); - GPU_framebuffer_restore(); + Scene *scene = DEG_get_evaluated_scene(depsgraph); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + RenderEngineType *engine_type = engine->type; + DrawEngineType *draw_engine_type = engine_type->draw_engine; + Render *render = engine->re; + + if (G.background && DST.gl_context == NULL) { + WM_init_opengl(G_MAIN); + } + + void *re_gl_context = RE_gl_context_get(render); + void *re_gpu_context = NULL; + + /* Changing Context */ + if (re_gl_context != NULL) { + DRW_opengl_render_context_enable(re_gl_context); + /* We need to query gpu context after a gl context has been bound. */ + re_gpu_context = RE_gpu_context_get(render); + DRW_gawain_render_context_enable(re_gpu_context); + } + else { + DRW_opengl_context_enable(); + } + + /* IMPORTANT: We dont support immediate mode in render mode! + * This shall remain in effect until immediate mode supports + * multiple threads. */ + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + DST.options.is_image_render = true; + DST.options.is_scene_render = true; + DST.options.draw_background = scene->r.alphamode == R_ADDSKY; + + DST.draw_ctx = (DRWContextState){ + .scene = scene, + .view_layer = view_layer, + .engine_type = engine_type, + .depsgraph = depsgraph, + .object_mode = OB_MODE_OBJECT, + }; + drw_context_state_init(); + + DST.viewport = GPU_viewport_create(); + const int size[2] = {engine->resolution_x, engine->resolution_y}; + GPU_viewport_size_set(DST.viewport, size); + + drw_viewport_var_init(); + + ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine_type); + + /* set default viewport */ + glViewport(0, 0, size[0], size[1]); + + /* Main rendering. */ + rctf view_rect; + rcti render_rect; + RE_GetViewPlane(render, &view_rect, &render_rect); + if (BLI_rcti_is_empty(&render_rect)) { + BLI_rcti_init(&render_rect, 0, size[0], 0, size[1]); + } + + /* Reset state before drawing */ + DRW_state_reset(); + + /* Init render result. */ + RenderResult *render_result = RE_engine_begin_result(engine, + 0, + 0, + (int)size[0], + (int)size[1], + view_layer->name, + /* RR_ALL_VIEWS */ NULL); + + RenderLayer *render_layer = render_result->layers.first; + for (RenderView *render_view = render_result->views.first; render_view != NULL; + render_view = render_view->next) { + RE_SetActiveRenderView(render, render_view->name); + engine_type->draw_engine->render_to_image(data, engine, render_layer, &render_rect); + /* grease pencil: render result is merged in the previous render result. */ + if (DRW_render_check_grease_pencil(depsgraph)) { + DRW_state_reset(); + DRW_render_gpencil_to_image(engine, render_layer, &render_rect); + } + DST.buffer_finish_called = false; + } + + RE_engine_end_result(engine, render_result, false, false, false); + + /* Force cache to reset. */ + drw_viewport_cache_resize(); + + GPU_viewport_free(DST.viewport); + GPU_framebuffer_restore(); #ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); #endif - /* Reset state after drawing */ - DRW_state_reset(); + /* Reset state after drawing */ + DRW_state_reset(); - /* Changing Context */ - if (re_gl_context != NULL) { - DRW_gawain_render_context_disable(re_gpu_context); - DRW_opengl_render_context_disable(re_gl_context); - } - else { - DRW_opengl_context_disable(); - } + /* Changing Context */ + if (re_gl_context != NULL) { + DRW_gawain_render_context_disable(re_gpu_context); + DRW_opengl_render_context_disable(re_gl_context); + } + else { + DRW_opengl_context_disable(); + } } void DRW_render_object_iter( - void *vedata, RenderEngine *engine, struct Depsgraph *depsgraph, - void (*callback)(void *vedata, Object *ob, RenderEngine *engine, struct Depsgraph *depsgraph)) -{ - const DRWContextState *draw_ctx = DRW_context_state_get(); - - DRW_hair_init(); - - const int object_type_exclude_viewport = draw_ctx->v3d ? draw_ctx->v3d->object_type_exclude_viewport : 0; - DEG_OBJECT_ITER_BEGIN(depsgraph, ob, - DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | - DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | - DEG_ITER_OBJECT_FLAG_VISIBLE | - DEG_ITER_OBJECT_FLAG_DUPLI) - { - if ((object_type_exclude_viewport & (1 << ob->type)) == 0) { - DST.dupli_parent = data_.dupli_parent; - DST.dupli_source = data_.dupli_object_current; - DST.ob_state = NULL; - callback(vedata, ob, engine, depsgraph); - - drw_batch_cache_generate_requested(ob); - } - } - DEG_OBJECT_ITER_END; + void *vedata, + RenderEngine *engine, + struct Depsgraph *depsgraph, + void (*callback)(void *vedata, Object *ob, RenderEngine *engine, struct Depsgraph *depsgraph)) +{ + const DRWContextState *draw_ctx = DRW_context_state_get(); + + DRW_hair_init(); + + const int object_type_exclude_viewport = draw_ctx->v3d ? + draw_ctx->v3d->object_type_exclude_viewport : + 0; + DEG_OBJECT_ITER_BEGIN (depsgraph, + ob, + DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | + DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | DEG_ITER_OBJECT_FLAG_VISIBLE | + DEG_ITER_OBJECT_FLAG_DUPLI) { + if ((object_type_exclude_viewport & (1 << ob->type)) == 0) { + DST.dupli_parent = data_.dupli_parent; + DST.dupli_source = data_.dupli_object_current; + DST.ob_state = NULL; + callback(vedata, ob, engine, depsgraph); + + drw_batch_cache_generate_requested(ob); + } + } + DEG_OBJECT_ITER_END; } /* Assume a valid gl context is bound (and that the gl_context_mutex has been acquired). * This function only setup DST and execute the given function. * Warning: similar to DRW_render_to_image you cannot use default lists (dfbl & dtxl). */ -void DRW_custom_pipeline( - DrawEngineType *draw_engine_type, - struct Depsgraph *depsgraph, - void (*callback)(void *vedata, void *user_data), - void *user_data) +void DRW_custom_pipeline(DrawEngineType *draw_engine_type, + struct Depsgraph *depsgraph, + void (*callback)(void *vedata, void *user_data), + void *user_data) { - Scene *scene = DEG_get_evaluated_scene(depsgraph); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + Scene *scene = DEG_get_evaluated_scene(depsgraph); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - DST.options.is_image_render = true; - DST.options.is_scene_render = true; - DST.options.draw_background = false; + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + DST.options.is_image_render = true; + DST.options.is_scene_render = true; + DST.options.draw_background = false; - DST.draw_ctx = (DRWContextState){ - .scene = scene, - .view_layer = view_layer, - .engine_type = NULL, - .depsgraph = depsgraph, - .object_mode = OB_MODE_OBJECT, - }; - drw_context_state_init(); + DST.draw_ctx = (DRWContextState){ + .scene = scene, + .view_layer = view_layer, + .engine_type = NULL, + .depsgraph = depsgraph, + .object_mode = OB_MODE_OBJECT, + }; + drw_context_state_init(); - DST.viewport = GPU_viewport_create(); - const int size[2] = {1, 1}; - GPU_viewport_size_set(DST.viewport, size); + DST.viewport = GPU_viewport_create(); + const int size[2] = {1, 1}; + GPU_viewport_size_set(DST.viewport, size); - drw_viewport_var_init(); + drw_viewport_var_init(); - DRW_hair_init(); + DRW_hair_init(); - ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine_type); + ViewportEngineData *data = drw_viewport_engine_data_ensure(draw_engine_type); - /* Execute the callback */ - callback(data, user_data); - DST.buffer_finish_called = false; + /* Execute the callback */ + callback(data, user_data); + DST.buffer_finish_called = false; - GPU_viewport_free(DST.viewport); - GPU_framebuffer_restore(); + GPU_viewport_free(DST.viewport); + GPU_framebuffer_restore(); - /* The use of custom pipeline in other thread using the same - * resources as the main thread (viewport) may lead to data - * races and undefined behavior on certain drivers. Using - * GPU_finish to sync seems to fix the issue. (see T62997) */ - GPU_finish(); + /* The use of custom pipeline in other thread using the same + * resources as the main thread (viewport) may lead to data + * races and undefined behavior on certain drivers. Using + * GPU_finish to sync seems to fix the issue. (see T62997) */ + GPU_finish(); #ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); #endif } static struct DRWSelectBuffer { - struct GPUFrameBuffer *framebuffer_depth_only; - struct GPUFrameBuffer *framebuffer_select_id; - struct GPUTexture *texture_depth; - struct GPUTexture *texture_u32; + struct GPUFrameBuffer *framebuffer_depth_only; + struct GPUFrameBuffer *framebuffer_select_id; + struct GPUTexture *texture_depth; + struct GPUTexture *texture_u32; } g_select_buffer = {NULL}; static void draw_select_framebuffer_depth_only_setup(const int size[2]) { - if (g_select_buffer.framebuffer_depth_only == NULL) { - g_select_buffer.framebuffer_depth_only = GPU_framebuffer_create(); - g_select_buffer.framebuffer_select_id = GPU_framebuffer_create(); - } + if (g_select_buffer.framebuffer_depth_only == NULL) { + g_select_buffer.framebuffer_depth_only = GPU_framebuffer_create(); + g_select_buffer.framebuffer_select_id = GPU_framebuffer_create(); + } - if ((g_select_buffer.texture_depth != NULL) && - ((GPU_texture_width(g_select_buffer.texture_depth) != size[0]) || - (GPU_texture_height(g_select_buffer.texture_depth) != size[1]))) - { - GPU_texture_free(g_select_buffer.texture_depth); - g_select_buffer.texture_depth = NULL; - } + if ((g_select_buffer.texture_depth != NULL) && + ((GPU_texture_width(g_select_buffer.texture_depth) != size[0]) || + (GPU_texture_height(g_select_buffer.texture_depth) != size[1]))) { + GPU_texture_free(g_select_buffer.texture_depth); + g_select_buffer.texture_depth = NULL; + } - if (g_select_buffer.texture_depth == NULL) { - g_select_buffer.texture_depth = GPU_texture_create_2d( - size[0], size[1], GPU_DEPTH_COMPONENT24, NULL, NULL); + if (g_select_buffer.texture_depth == NULL) { + g_select_buffer.texture_depth = GPU_texture_create_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, NULL, NULL); - GPU_framebuffer_texture_attach( - g_select_buffer.framebuffer_depth_only, - g_select_buffer.texture_depth, 0, 0); + GPU_framebuffer_texture_attach( + g_select_buffer.framebuffer_depth_only, g_select_buffer.texture_depth, 0, 0); - GPU_framebuffer_texture_attach( - g_select_buffer.framebuffer_select_id, - g_select_buffer.texture_depth, 0, 0); + GPU_framebuffer_texture_attach( + g_select_buffer.framebuffer_select_id, g_select_buffer.texture_depth, 0, 0); - GPU_framebuffer_check_valid( - g_select_buffer.framebuffer_depth_only, NULL); - GPU_framebuffer_check_valid( - g_select_buffer.framebuffer_select_id, NULL); - } + GPU_framebuffer_check_valid(g_select_buffer.framebuffer_depth_only, NULL); + GPU_framebuffer_check_valid(g_select_buffer.framebuffer_select_id, NULL); + } } static void draw_select_framebuffer_select_id_setup(const int size[2]) { - draw_select_framebuffer_depth_only_setup(size); + draw_select_framebuffer_depth_only_setup(size); - if ((g_select_buffer.texture_u32 != NULL) && - ((GPU_texture_width(g_select_buffer.texture_u32) != size[0]) || - (GPU_texture_height(g_select_buffer.texture_u32) != size[1]))) - { - GPU_texture_free(g_select_buffer.texture_u32); - g_select_buffer.texture_u32 = NULL; - } + if ((g_select_buffer.texture_u32 != NULL) && + ((GPU_texture_width(g_select_buffer.texture_u32) != size[0]) || + (GPU_texture_height(g_select_buffer.texture_u32) != size[1]))) { + GPU_texture_free(g_select_buffer.texture_u32); + g_select_buffer.texture_u32 = NULL; + } - if (g_select_buffer.texture_u32 == NULL) { - g_select_buffer.texture_u32 = GPU_texture_create_2d( - size[0], size[1], GPU_R32UI, NULL, NULL); + if (g_select_buffer.texture_u32 == NULL) { + g_select_buffer.texture_u32 = GPU_texture_create_2d(size[0], size[1], GPU_R32UI, NULL, NULL); - GPU_framebuffer_texture_attach( - g_select_buffer.framebuffer_select_id, - g_select_buffer.texture_u32, 0, 0); + GPU_framebuffer_texture_attach( + g_select_buffer.framebuffer_select_id, g_select_buffer.texture_u32, 0, 0); - GPU_framebuffer_check_valid( - g_select_buffer.framebuffer_select_id, NULL); - } + GPU_framebuffer_check_valid(g_select_buffer.framebuffer_select_id, NULL); + } } /* Must run after all instance datas have been added. */ void DRW_render_instance_buffer_finish(void) { - BLI_assert(!DST.buffer_finish_called && "DRW_render_instance_buffer_finish called twice!"); - DST.buffer_finish_called = true; - DRW_instance_buffer_finish(DST.idatalist); + BLI_assert(!DST.buffer_finish_called && "DRW_render_instance_buffer_finish called twice!"); + DST.buffer_finish_called = true; + DRW_instance_buffer_finish(DST.idatalist); } /** * object mode select-loop, see: ED_view3d_draw_select_loop (legacy drawing). */ -void DRW_draw_select_loop( - struct Depsgraph *depsgraph, - ARegion *ar, View3D *v3d, - bool UNUSED(use_obedit_skip), bool draw_surface, bool UNUSED(use_nearest), const rcti *rect, - DRW_SelectPassFn select_pass_fn, void *select_pass_user_data, - DRW_ObjectFilterFn object_filter_fn, void *object_filter_user_data) -{ - Scene *scene = DEG_get_evaluated_scene(depsgraph); - RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - Object *obact = OBACT(view_layer); - Object *obedit = OBEDIT_FROM_OBACT(obact); +void DRW_draw_select_loop(struct Depsgraph *depsgraph, + ARegion *ar, + View3D *v3d, + bool UNUSED(use_obedit_skip), + bool draw_surface, + bool UNUSED(use_nearest), + const rcti *rect, + DRW_SelectPassFn select_pass_fn, + void *select_pass_user_data, + DRW_ObjectFilterFn object_filter_fn, + void *object_filter_user_data) +{ + Scene *scene = DEG_get_evaluated_scene(depsgraph); + RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + Object *obact = OBACT(view_layer); + Object *obedit = OBEDIT_FROM_OBACT(obact); #ifndef USE_GPU_SELECT - UNUSED_VARS(vc, scene, view_layer, v3d, ar, rect); -#else - RegionView3D *rv3d = ar->regiondata; - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - - bool use_obedit = false; - int obedit_mode = 0; - if (obedit != NULL) { - if (obedit->type == OB_MBALL) { - use_obedit = true; - obedit_mode = CTX_MODE_EDIT_METABALL; - } - else if (obedit->type == OB_ARMATURE) { - use_obedit = true; - obedit_mode = CTX_MODE_EDIT_ARMATURE; - } - } - if (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT) { - if (!(v3d->flag2 & V3D_HIDE_OVERLAYS)) { - /* Note: don't use "BKE_object_pose_armature_get" here, it breaks selection. */ - Object *obpose = OBPOSE_FROM_OBACT(obact); - if (obpose) { - use_obedit = true; - obedit_mode = CTX_MODE_POSE; - } - } - } - - int viewport_size[2] = {BLI_rcti_size_x(rect), BLI_rcti_size_y(rect)}; - struct GPUViewport *viewport = GPU_viewport_create(); - GPU_viewport_size_set(viewport, viewport_size); - - DST.viewport = viewport; - DST.options.is_select = true; - - /* Get list of enabled engines */ - if (use_obedit) { - drw_engines_enable_from_paint_mode(obedit_mode); - drw_engines_enable_from_mode(obedit_mode); - } - else if (!draw_surface) { - /* grease pencil selection */ - use_drw_engine(&draw_engine_gpencil_type); - - drw_engines_enable_from_overlays(v3d->overlay.flag); - drw_engines_enable_from_object_mode(); - } - else { - drw_engines_enable_basic(); - /* grease pencil selection */ - use_drw_engine(&draw_engine_gpencil_type); - - drw_engines_enable_from_overlays(v3d->overlay.flag); - drw_engines_enable_from_object_mode(); - } - - /* Setup viewport */ - - /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ - DST.draw_ctx = (DRWContextState){ - .ar = ar, .rv3d = rv3d, .v3d = v3d, - .scene = scene, .view_layer = view_layer, .obact = obact, - .engine_type = engine_type, - .depsgraph = depsgraph, - }; - drw_context_state_init(); - drw_viewport_var_init(); - - /* Update ubos */ - DRW_globals_update(); - - /* Init engines */ - drw_engines_init(); - DRW_hair_init(); - - { - drw_engines_cache_init(); - drw_engines_world_update(scene); - - if (use_obedit) { -#if 0 - drw_engines_cache_populate(obact); + UNUSED_VARS(vc, scene, view_layer, v3d, ar, rect); #else - FOREACH_OBJECT_IN_MODE_BEGIN (view_layer, v3d, obact->type, obact->mode, ob_iter) { - drw_engines_cache_populate(ob_iter); - } - FOREACH_OBJECT_IN_MODE_END; -#endif - } - else { - const int object_type_exclude_select = ( - v3d->object_type_exclude_viewport | v3d->object_type_exclude_select - ); - bool filter_exclude = false; - DEG_OBJECT_ITER_BEGIN(depsgraph, ob, - DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | - DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | - DEG_ITER_OBJECT_FLAG_VISIBLE | - DEG_ITER_OBJECT_FLAG_DUPLI) - { - if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { - continue; - } - - if ((ob->base_flag & BASE_SELECTABLE) && - (object_type_exclude_select & (1 << ob->type)) == 0) - { - if (object_filter_fn != NULL) { - if (ob->base_flag & BASE_FROM_DUPLI) { - /* pass (use previous filter_exclude value) */ - } - else { - filter_exclude = (object_filter_fn(ob, object_filter_user_data) == false); - } - if (filter_exclude) { - continue; - } - } - - /* This relies on dupli instances being after their instancing object. */ - if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { - Object *ob_orig = DEG_get_original_object(ob); - DRW_select_load_id(ob_orig->select_id); - } - DST.dupli_parent = data_.dupli_parent; - DST.dupli_source = data_.dupli_object_current; - drw_engines_cache_populate(ob); - } - } - DEG_OBJECT_ITER_END; - } - - drw_engines_cache_finish(); - - DRW_render_instance_buffer_finish(); - } - - /* Setup framebuffer */ - draw_select_framebuffer_depth_only_setup(viewport_size); - GPU_framebuffer_bind(g_select_buffer.framebuffer_depth_only); - GPU_framebuffer_clear_depth(g_select_buffer.framebuffer_depth_only, 1.0f); - - /* Start Drawing */ - DRW_state_reset(); - DRW_draw_callbacks_pre_scene(); - - DRW_hair_update(); - - DRW_state_lock( - DRW_STATE_WRITE_DEPTH | - DRW_STATE_DEPTH_ALWAYS | - DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_DEPTH_EQUAL | - DRW_STATE_DEPTH_GREATER | - DRW_STATE_DEPTH_ALWAYS); - - /* Only 1-2 passes. */ - while (true) { - if (!select_pass_fn(DRW_SELECT_PASS_PRE, select_pass_user_data)) { - break; - } - - drw_engines_draw_scene(); - - if (!select_pass_fn(DRW_SELECT_PASS_POST, select_pass_user_data)) { - break; - } - } - - DRW_state_lock(0); - - DRW_draw_callbacks_post_scene(); - - DRW_state_reset(); - drw_engines_disable(); - -#ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); -#endif - GPU_framebuffer_restore(); - - /* Cleanup for selection state */ - GPU_viewport_free(viewport); -#endif /* USE_GPU_SELECT */ + RegionView3D *rv3d = ar->regiondata; + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + + bool use_obedit = false; + int obedit_mode = 0; + if (obedit != NULL) { + if (obedit->type == OB_MBALL) { + use_obedit = true; + obedit_mode = CTX_MODE_EDIT_METABALL; + } + else if (obedit->type == OB_ARMATURE) { + use_obedit = true; + obedit_mode = CTX_MODE_EDIT_ARMATURE; + } + } + if (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT) { + if (!(v3d->flag2 & V3D_HIDE_OVERLAYS)) { + /* Note: don't use "BKE_object_pose_armature_get" here, it breaks selection. */ + Object *obpose = OBPOSE_FROM_OBACT(obact); + if (obpose) { + use_obedit = true; + obedit_mode = CTX_MODE_POSE; + } + } + } + + int viewport_size[2] = {BLI_rcti_size_x(rect), BLI_rcti_size_y(rect)}; + struct GPUViewport *viewport = GPU_viewport_create(); + GPU_viewport_size_set(viewport, viewport_size); + + DST.viewport = viewport; + DST.options.is_select = true; + + /* Get list of enabled engines */ + if (use_obedit) { + drw_engines_enable_from_paint_mode(obedit_mode); + drw_engines_enable_from_mode(obedit_mode); + } + else if (!draw_surface) { + /* grease pencil selection */ + use_drw_engine(&draw_engine_gpencil_type); + + drw_engines_enable_from_overlays(v3d->overlay.flag); + drw_engines_enable_from_object_mode(); + } + else { + drw_engines_enable_basic(); + /* grease pencil selection */ + use_drw_engine(&draw_engine_gpencil_type); + + drw_engines_enable_from_overlays(v3d->overlay.flag); + drw_engines_enable_from_object_mode(); + } + + /* Setup viewport */ + + /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ + DST.draw_ctx = (DRWContextState){ + .ar = ar, + .rv3d = rv3d, + .v3d = v3d, + .scene = scene, + .view_layer = view_layer, + .obact = obact, + .engine_type = engine_type, + .depsgraph = depsgraph, + }; + drw_context_state_init(); + drw_viewport_var_init(); + + /* Update ubos */ + DRW_globals_update(); + + /* Init engines */ + drw_engines_init(); + DRW_hair_init(); + + { + drw_engines_cache_init(); + drw_engines_world_update(scene); + + if (use_obedit) { +# if 0 + drw_engines_cache_populate(obact); +# else + FOREACH_OBJECT_IN_MODE_BEGIN (view_layer, v3d, obact->type, obact->mode, ob_iter) { + drw_engines_cache_populate(ob_iter); + } + FOREACH_OBJECT_IN_MODE_END; +# endif + } + else { + const int object_type_exclude_select = (v3d->object_type_exclude_viewport | + v3d->object_type_exclude_select); + bool filter_exclude = false; + DEG_OBJECT_ITER_BEGIN (depsgraph, + ob, + DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | + DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | + DEG_ITER_OBJECT_FLAG_VISIBLE | DEG_ITER_OBJECT_FLAG_DUPLI) { + if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { + continue; + } + + if ((ob->base_flag & BASE_SELECTABLE) && + (object_type_exclude_select & (1 << ob->type)) == 0) { + if (object_filter_fn != NULL) { + if (ob->base_flag & BASE_FROM_DUPLI) { + /* pass (use previous filter_exclude value) */ + } + else { + filter_exclude = (object_filter_fn(ob, object_filter_user_data) == false); + } + if (filter_exclude) { + continue; + } + } + + /* This relies on dupli instances being after their instancing object. */ + if ((ob->base_flag & BASE_FROM_DUPLI) == 0) { + Object *ob_orig = DEG_get_original_object(ob); + DRW_select_load_id(ob_orig->select_id); + } + DST.dupli_parent = data_.dupli_parent; + DST.dupli_source = data_.dupli_object_current; + drw_engines_cache_populate(ob); + } + } + DEG_OBJECT_ITER_END; + } + + drw_engines_cache_finish(); + + DRW_render_instance_buffer_finish(); + } + + /* Setup framebuffer */ + draw_select_framebuffer_depth_only_setup(viewport_size); + GPU_framebuffer_bind(g_select_buffer.framebuffer_depth_only); + GPU_framebuffer_clear_depth(g_select_buffer.framebuffer_depth_only, 1.0f); + + /* Start Drawing */ + DRW_state_reset(); + DRW_draw_callbacks_pre_scene(); + + DRW_hair_update(); + + DRW_state_lock(DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_DEPTH_EQUAL | DRW_STATE_DEPTH_GREATER | DRW_STATE_DEPTH_ALWAYS); + + /* Only 1-2 passes. */ + while (true) { + if (!select_pass_fn(DRW_SELECT_PASS_PRE, select_pass_user_data)) { + break; + } + + drw_engines_draw_scene(); + + if (!select_pass_fn(DRW_SELECT_PASS_POST, select_pass_user_data)) { + break; + } + } + + DRW_state_lock(0); + + DRW_draw_callbacks_post_scene(); + + DRW_state_reset(); + drw_engines_disable(); + +# ifdef DEBUG + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); +# endif + GPU_framebuffer_restore(); + + /* Cleanup for selection state */ + GPU_viewport_free(viewport); +#endif /* USE_GPU_SELECT */ } static void draw_depth_texture_to_screen(GPUTexture *texture) { - const float w = (float)GPU_texture_width(texture); - const float h = (float)GPU_texture_height(texture); + const float w = (float)GPU_texture_width(texture); + const float h = (float)GPU_texture_height(texture); - GPUVertFormat *format = immVertexFormat(); - uint texcoord = GPU_vertformat_attr_add(format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - uint pos = GPU_vertformat_attr_add(format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + GPUVertFormat *format = immVertexFormat(); + uint texcoord = GPU_vertformat_attr_add(format, "texCoord", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + uint pos = GPU_vertformat_attr_add(format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - immBindBuiltinProgram(GPU_SHADER_3D_IMAGE_DEPTH_COPY); + immBindBuiltinProgram(GPU_SHADER_3D_IMAGE_DEPTH_COPY); - GPU_texture_bind(texture, 0); + GPU_texture_bind(texture, 0); - immUniform1i("image", 0); /* default GL_TEXTURE0 unit */ + immUniform1i("image", 0); /* default GL_TEXTURE0 unit */ - immBegin(GPU_PRIM_TRI_STRIP, 4); + immBegin(GPU_PRIM_TRI_STRIP, 4); - immAttr2f(texcoord, 0.0f, 0.0f); - immVertex2f(pos, 0.0f, 0.0f); + immAttr2f(texcoord, 0.0f, 0.0f); + immVertex2f(pos, 0.0f, 0.0f); - immAttr2f(texcoord, 1.0f, 0.0f); - immVertex2f(pos, w, 0.0f); + immAttr2f(texcoord, 1.0f, 0.0f); + immVertex2f(pos, w, 0.0f); - immAttr2f(texcoord, 0.0f, 1.0f); - immVertex2f(pos, 0.0f, h); + immAttr2f(texcoord, 0.0f, 1.0f); + immVertex2f(pos, 0.0f, h); - immAttr2f(texcoord, 1.0f, 1.0f); - immVertex2f(pos, w, h); + immAttr2f(texcoord, 1.0f, 1.0f); + immVertex2f(pos, w, h); - immEnd(); + immEnd(); - GPU_texture_unbind(texture); + GPU_texture_unbind(texture); - immUnbindProgram(); + immUnbindProgram(); } - /** * object mode select-loop, see: ED_view3d_draw_depth_loop (legacy drawing). */ static void drw_draw_depth_loop_imp(void) { - DRW_opengl_context_enable(); + DRW_opengl_context_enable(); - /* Setup framebuffer */ - DefaultFramebufferList *fbl = (DefaultFramebufferList *)GPU_viewport_framebuffer_list_get(DST.viewport); - GPU_framebuffer_bind(fbl->depth_only_fb); - GPU_framebuffer_clear_depth(fbl->depth_only_fb, 1.0f); + /* Setup framebuffer */ + DefaultFramebufferList *fbl = (DefaultFramebufferList *)GPU_viewport_framebuffer_list_get( + DST.viewport); + GPU_framebuffer_bind(fbl->depth_only_fb); + GPU_framebuffer_clear_depth(fbl->depth_only_fb, 1.0f); - /* Setup viewport */ - drw_context_state_init(); - drw_viewport_var_init(); + /* Setup viewport */ + drw_context_state_init(); + drw_viewport_var_init(); - /* Update ubos */ - DRW_globals_update(); + /* Update ubos */ + DRW_globals_update(); - /* Init engines */ - drw_engines_init(); - DRW_hair_init(); + /* Init engines */ + drw_engines_init(); + DRW_hair_init(); - { - drw_engines_cache_init(); - drw_engines_world_update(DST.draw_ctx.scene); + { + drw_engines_cache_init(); + drw_engines_world_update(DST.draw_ctx.scene); - View3D *v3d = DST.draw_ctx.v3d; - const int object_type_exclude_viewport = v3d->object_type_exclude_viewport; - DEG_OBJECT_ITER_BEGIN(DST.draw_ctx.depsgraph, ob, - DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | - DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | - DEG_ITER_OBJECT_FLAG_VISIBLE | - DEG_ITER_OBJECT_FLAG_DUPLI) - { - if ((object_type_exclude_viewport & (1 << ob->type)) != 0) { - continue; - } + View3D *v3d = DST.draw_ctx.v3d; + const int object_type_exclude_viewport = v3d->object_type_exclude_viewport; + DEG_OBJECT_ITER_BEGIN (DST.draw_ctx.depsgraph, + ob, + DEG_ITER_OBJECT_FLAG_LINKED_DIRECTLY | + DEG_ITER_OBJECT_FLAG_LINKED_VIA_SET | DEG_ITER_OBJECT_FLAG_VISIBLE | + DEG_ITER_OBJECT_FLAG_DUPLI) { + if ((object_type_exclude_viewport & (1 << ob->type)) != 0) { + continue; + } - if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { - continue; - } + if (v3d->localvd && ((v3d->local_view_uuid & ob->base_local_view_bits) == 0)) { + continue; + } - DST.dupli_parent = data_.dupli_parent; - DST.dupli_source = data_.dupli_object_current; - drw_engines_cache_populate(ob); - } - DEG_OBJECT_ITER_END; + DST.dupli_parent = data_.dupli_parent; + DST.dupli_source = data_.dupli_object_current; + drw_engines_cache_populate(ob); + } + DEG_OBJECT_ITER_END; - drw_engines_cache_finish(); + drw_engines_cache_finish(); - DRW_render_instance_buffer_finish(); - } + DRW_render_instance_buffer_finish(); + } - /* Start Drawing */ - DRW_state_reset(); + /* Start Drawing */ + DRW_state_reset(); - DRW_hair_update(); + DRW_hair_update(); - DRW_draw_callbacks_pre_scene(); - drw_engines_draw_scene(); - DRW_draw_callbacks_post_scene(); + DRW_draw_callbacks_pre_scene(); + drw_engines_draw_scene(); + DRW_draw_callbacks_post_scene(); - DRW_state_reset(); + DRW_state_reset(); - /* TODO: Reading depth for operators should be done here. */ + /* TODO: Reading depth for operators should be done here. */ - GPU_framebuffer_restore(); + GPU_framebuffer_restore(); - /* Changin context */ - DRW_opengl_context_disable(); + /* Changin context */ + DRW_opengl_context_disable(); } /** * object mode select-loop, see: ED_view3d_draw_depth_loop (legacy drawing). */ -void DRW_draw_depth_loop( - struct Depsgraph *depsgraph, - ARegion *ar, View3D *v3d, - GPUViewport *viewport) -{ - Scene *scene = DEG_get_evaluated_scene(depsgraph); - RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - RegionView3D *rv3d = ar->regiondata; - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - - DST.viewport = viewport; - DST.options.is_depth = true; - - /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ - DST.draw_ctx = (DRWContextState){ - .ar = ar, .rv3d = rv3d, .v3d = v3d, - .scene = scene, .view_layer = view_layer, .obact = OBACT(view_layer), - .engine_type = engine_type, - .depsgraph = depsgraph, - }; - - /* Get list of enabled engines */ - { - drw_engines_enable_basic(); - if (DRW_state_draw_support()) { - drw_engines_enable_from_object_mode(); - } - } - - drw_draw_depth_loop_imp(); - - drw_engines_disable(); - - /* XXX Drawing the resulting buffer to the BACK_BUFFER */ - GPU_matrix_push(); - GPU_matrix_push_projection(); - wmOrtho2_region_pixelspace(DST.draw_ctx.ar); - GPU_matrix_identity_set(); - - glEnable(GL_DEPTH_TEST); /* Cannot write to depth buffer without testing */ - glDepthFunc(GL_ALWAYS); - DefaultTextureList *dtxl = (DefaultTextureList *)GPU_viewport_texture_list_get(DST.viewport); - draw_depth_texture_to_screen(dtxl->depth); - glDepthFunc(GL_LEQUAL); - - GPU_matrix_pop(); - GPU_matrix_pop_projection(); +void DRW_draw_depth_loop(struct Depsgraph *depsgraph, + ARegion *ar, + View3D *v3d, + GPUViewport *viewport) +{ + Scene *scene = DEG_get_evaluated_scene(depsgraph); + RenderEngineType *engine_type = ED_view3d_engine_type(scene, v3d->shading.type); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + RegionView3D *rv3d = ar->regiondata; + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + + DST.viewport = viewport; + DST.options.is_depth = true; + + /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ + DST.draw_ctx = (DRWContextState){ + .ar = ar, + .rv3d = rv3d, + .v3d = v3d, + .scene = scene, + .view_layer = view_layer, + .obact = OBACT(view_layer), + .engine_type = engine_type, + .depsgraph = depsgraph, + }; + + /* Get list of enabled engines */ + { + drw_engines_enable_basic(); + if (DRW_state_draw_support()) { + drw_engines_enable_from_object_mode(); + } + } + + drw_draw_depth_loop_imp(); + + drw_engines_disable(); + + /* XXX Drawing the resulting buffer to the BACK_BUFFER */ + GPU_matrix_push(); + GPU_matrix_push_projection(); + wmOrtho2_region_pixelspace(DST.draw_ctx.ar); + GPU_matrix_identity_set(); + + glEnable(GL_DEPTH_TEST); /* Cannot write to depth buffer without testing */ + glDepthFunc(GL_ALWAYS); + DefaultTextureList *dtxl = (DefaultTextureList *)GPU_viewport_texture_list_get(DST.viewport); + draw_depth_texture_to_screen(dtxl->depth); + glDepthFunc(GL_LEQUAL); + + GPU_matrix_pop(); + GPU_matrix_pop_projection(); #ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); #endif } /** * Converted from ED_view3d_draw_depth_gpencil (legacy drawing). */ -void DRW_draw_depth_loop_gpencil( - struct Depsgraph *depsgraph, - ARegion *ar, View3D *v3d, - GPUViewport *viewport) -{ - Scene *scene = DEG_get_evaluated_scene(depsgraph); - ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); - RegionView3D *rv3d = ar->regiondata; - - /* Reset before using it. */ - drw_state_prepare_clean_for_draw(&DST); - - DST.viewport = viewport; - DST.options.is_depth = true; - - /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ - DST.draw_ctx = (DRWContextState){ - .ar = ar, .rv3d = rv3d, .v3d = v3d, - .scene = scene, .view_layer = view_layer, .obact = OBACT(view_layer), - .depsgraph = depsgraph, - }; - - use_drw_engine(&draw_engine_gpencil_type); - drw_draw_depth_loop_imp(); - drw_engines_disable(); +void DRW_draw_depth_loop_gpencil(struct Depsgraph *depsgraph, + ARegion *ar, + View3D *v3d, + GPUViewport *viewport) +{ + Scene *scene = DEG_get_evaluated_scene(depsgraph); + ViewLayer *view_layer = DEG_get_evaluated_view_layer(depsgraph); + RegionView3D *rv3d = ar->regiondata; + + /* Reset before using it. */ + drw_state_prepare_clean_for_draw(&DST); + + DST.viewport = viewport; + DST.options.is_depth = true; + + /* Instead of 'DRW_context_state_init(C, &DST.draw_ctx)', assign from args */ + DST.draw_ctx = (DRWContextState){ + .ar = ar, + .rv3d = rv3d, + .v3d = v3d, + .scene = scene, + .view_layer = view_layer, + .obact = OBACT(view_layer), + .depsgraph = depsgraph, + }; + + use_drw_engine(&draw_engine_gpencil_type); + drw_draw_depth_loop_imp(); + drw_engines_disable(); #ifdef DEBUG - /* Avoid accidental reuse. */ - drw_state_ensure_not_reused(&DST); + /* Avoid accidental reuse. */ + drw_state_ensure_not_reused(&DST); #endif } - /* Set an opengl context to be used with shaders that draw on U32 colors. */ void DRW_framebuffer_select_id_setup(ARegion *ar, const bool clear) { - RegionView3D *rv3d = ar->regiondata; + RegionView3D *rv3d = ar->regiondata; - DRW_opengl_context_enable(); + DRW_opengl_context_enable(); - /* Setup framebuffer */ - int viewport_size[2] = {ar->winx, ar->winy}; - draw_select_framebuffer_select_id_setup(viewport_size); - GPU_framebuffer_bind(g_select_buffer.framebuffer_select_id); + /* Setup framebuffer */ + int viewport_size[2] = {ar->winx, ar->winy}; + draw_select_framebuffer_select_id_setup(viewport_size); + GPU_framebuffer_bind(g_select_buffer.framebuffer_select_id); - /* dithering and AA break color coding, so disable */ - glDisable(GL_DITHER); + /* dithering and AA break color coding, so disable */ + glDisable(GL_DITHER); - GPU_depth_test(true); - glDisable(GL_SCISSOR_TEST); + GPU_depth_test(true); + glDisable(GL_SCISSOR_TEST); - if (clear) { - GPU_framebuffer_clear_color_depth( - g_select_buffer.framebuffer_select_id, (const float[4]){0.0f}, 1.0f); - } + if (clear) { + GPU_framebuffer_clear_color_depth( + g_select_buffer.framebuffer_select_id, (const float[4]){0.0f}, 1.0f); + } - if (rv3d->rflag & RV3D_CLIPPING) { - ED_view3d_clipping_set(rv3d); - } + if (rv3d->rflag & RV3D_CLIPPING) { + ED_view3d_clipping_set(rv3d); + } } - /* Ends the context for selection and restoring the previous one. */ void DRW_framebuffer_select_id_release(ARegion *ar) { - RegionView3D *rv3d = ar->regiondata; + RegionView3D *rv3d = ar->regiondata; - if (rv3d->rflag & RV3D_CLIPPING) { - ED_view3d_clipping_disable(); - } + if (rv3d->rflag & RV3D_CLIPPING) { + ED_view3d_clipping_disable(); + } - GPU_depth_test(false); + GPU_depth_test(false); - GPU_framebuffer_restore(); + GPU_framebuffer_restore(); - DRW_opengl_context_disable(); + DRW_opengl_context_disable(); } - /* Read a block of pixels from the select frame buffer. */ void DRW_framebuffer_select_id_read(const rcti *rect, uint *r_buf) { - /* clamp rect by texture */ - rcti r = { - .xmin = 0, - .xmax = GPU_texture_width(g_select_buffer.texture_u32), - .ymin = 0, - .ymax = GPU_texture_height(g_select_buffer.texture_u32), - }; - - rcti rect_clamp = *rect; - if (BLI_rcti_isect(&r, &rect_clamp, &rect_clamp)) { - GPU_texture_read_rect( - g_select_buffer.texture_u32, - GPU_DATA_UNSIGNED_INT, &rect_clamp, r_buf); - - if (!BLI_rcti_compare(rect, &rect_clamp)) { - GPU_select_buffer_stride_realign(rect, &rect_clamp, r_buf); - } - } - else { - size_t buf_size = BLI_rcti_size_x(rect) * - BLI_rcti_size_y(rect) * - sizeof(*r_buf); - - memset(r_buf, 0, buf_size); - } + /* clamp rect by texture */ + rcti r = { + .xmin = 0, + .xmax = GPU_texture_width(g_select_buffer.texture_u32), + .ymin = 0, + .ymax = GPU_texture_height(g_select_buffer.texture_u32), + }; + + rcti rect_clamp = *rect; + if (BLI_rcti_isect(&r, &rect_clamp, &rect_clamp)) { + GPU_texture_read_rect(g_select_buffer.texture_u32, GPU_DATA_UNSIGNED_INT, &rect_clamp, r_buf); + + if (!BLI_rcti_compare(rect, &rect_clamp)) { + GPU_select_buffer_stride_realign(rect, &rect_clamp, r_buf); + } + } + else { + size_t buf_size = BLI_rcti_size_x(rect) * BLI_rcti_size_y(rect) * sizeof(*r_buf); + + memset(r_buf, 0, buf_size); + } } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Draw Manager State (DRW_state) * \{ */ void DRW_state_dfdy_factors_get(float dfdyfac[2]) { - GPU_get_dfdy_factors(dfdyfac); + GPU_get_dfdy_factors(dfdyfac); } /** @@ -2584,7 +2593,7 @@ void DRW_state_dfdy_factors_get(float dfdyfac[2]) */ bool DRW_state_is_fbo(void) { - return ((DST.default_framebuffer != NULL) || DST.options.is_image_render); + return ((DST.default_framebuffer != NULL) || DST.options.is_image_render); } /** @@ -2592,12 +2601,12 @@ bool DRW_state_is_fbo(void) */ bool DRW_state_is_select(void) { - return DST.options.is_select; + return DST.options.is_select; } bool DRW_state_is_depth(void) { - return DST.options.is_depth; + return DST.options.is_depth; } /** @@ -2605,7 +2614,7 @@ bool DRW_state_is_depth(void) */ bool DRW_state_is_image_render(void) { - return DST.options.is_image_render; + return DST.options.is_image_render; } /** @@ -2614,9 +2623,8 @@ bool DRW_state_is_image_render(void) */ bool DRW_state_is_scene_render(void) { - BLI_assert(DST.options.is_scene_render ? - DST.options.is_image_render : true); - return DST.options.is_scene_render; + BLI_assert(DST.options.is_scene_render ? DST.options.is_image_render : true); + return DST.options.is_scene_render; } /** @@ -2624,28 +2632,25 @@ bool DRW_state_is_scene_render(void) */ bool DRW_state_is_opengl_render(void) { - return DST.options.is_image_render && !DST.options.is_scene_render; + return DST.options.is_image_render && !DST.options.is_scene_render; } bool DRW_state_is_playback(void) { - if (DST.draw_ctx.evil_C != NULL) { - struct wmWindowManager *wm = CTX_wm_manager(DST.draw_ctx.evil_C); - return ED_screen_animation_playing(wm) != NULL; - } - return false; + if (DST.draw_ctx.evil_C != NULL) { + struct wmWindowManager *wm = CTX_wm_manager(DST.draw_ctx.evil_C); + return ED_screen_animation_playing(wm) != NULL; + } + return false; } - /** * Should text draw in this mode? */ bool DRW_state_show_text(void) { - return (DST.options.is_select) == 0 && - (DST.options.is_depth) == 0 && - (DST.options.is_scene_render) == 0 && - (DST.options.draw_text) == 0; + return (DST.options.is_select) == 0 && (DST.options.is_depth) == 0 && + (DST.options.is_scene_render) == 0 && (DST.options.draw_text) == 0; } /** @@ -2654,10 +2659,9 @@ bool DRW_state_show_text(void) */ bool DRW_state_draw_support(void) { - View3D *v3d = DST.draw_ctx.v3d; - return (DRW_state_is_scene_render() == false) && - (v3d != NULL) && - ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0); + View3D *v3d = DST.draw_ctx.v3d; + return (DRW_state_is_scene_render() == false) && (v3d != NULL) && + ((v3d->flag2 & V3D_HIDE_OVERLAYS) == 0); } /** @@ -2665,127 +2669,125 @@ bool DRW_state_draw_support(void) */ bool DRW_state_draw_background(void) { - if (DRW_state_is_image_render() == false) { - return true; - } - return DST.options.draw_background; + if (DRW_state_is_image_render() == false) { + return true; + } + return DST.options.draw_background; } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Context State (DRW_context_state) * \{ */ const DRWContextState *DRW_context_state_get(void) { - return &DST.draw_ctx; + return &DST.draw_ctx; } /** \} */ - /* -------------------------------------------------------------------- */ /** \name Init/Exit (DRW_engines) * \{ */ bool DRW_engine_render_support(DrawEngineType *draw_engine_type) { - return draw_engine_type->render_to_image; + return draw_engine_type->render_to_image; } void DRW_engine_register(DrawEngineType *draw_engine_type) { - BLI_addtail(&DRW_engines, draw_engine_type); + BLI_addtail(&DRW_engines, draw_engine_type); } void DRW_engines_register(void) { - RE_engines_register(&DRW_engine_viewport_eevee_type); - RE_engines_register(&DRW_engine_viewport_workbench_type); + RE_engines_register(&DRW_engine_viewport_eevee_type); + RE_engines_register(&DRW_engine_viewport_workbench_type); - DRW_engine_register(&draw_engine_workbench_solid); - DRW_engine_register(&draw_engine_workbench_transparent); + DRW_engine_register(&draw_engine_workbench_solid); + DRW_engine_register(&draw_engine_workbench_transparent); - DRW_engine_register(&draw_engine_object_type); - DRW_engine_register(&draw_engine_edit_armature_type); - DRW_engine_register(&draw_engine_edit_curve_type); - DRW_engine_register(&draw_engine_edit_lattice_type); - DRW_engine_register(&draw_engine_edit_mesh_type); - DRW_engine_register(&draw_engine_edit_metaball_type); - DRW_engine_register(&draw_engine_edit_text_type); - DRW_engine_register(&draw_engine_motion_path_type); - DRW_engine_register(&draw_engine_overlay_type); - DRW_engine_register(&draw_engine_paint_texture_type); - DRW_engine_register(&draw_engine_paint_vertex_type); - DRW_engine_register(&draw_engine_particle_type); - DRW_engine_register(&draw_engine_pose_type); - DRW_engine_register(&draw_engine_sculpt_type); - DRW_engine_register(&draw_engine_gpencil_type); + DRW_engine_register(&draw_engine_object_type); + DRW_engine_register(&draw_engine_edit_armature_type); + DRW_engine_register(&draw_engine_edit_curve_type); + DRW_engine_register(&draw_engine_edit_lattice_type); + DRW_engine_register(&draw_engine_edit_mesh_type); + DRW_engine_register(&draw_engine_edit_metaball_type); + DRW_engine_register(&draw_engine_edit_text_type); + DRW_engine_register(&draw_engine_motion_path_type); + DRW_engine_register(&draw_engine_overlay_type); + DRW_engine_register(&draw_engine_paint_texture_type); + DRW_engine_register(&draw_engine_paint_vertex_type); + DRW_engine_register(&draw_engine_particle_type); + DRW_engine_register(&draw_engine_pose_type); + DRW_engine_register(&draw_engine_sculpt_type); + DRW_engine_register(&draw_engine_gpencil_type); - /* setup callbacks */ - { - BKE_mball_batch_cache_dirty_tag_cb = DRW_mball_batch_cache_dirty_tag; - BKE_mball_batch_cache_free_cb = DRW_mball_batch_cache_free; + /* setup callbacks */ + { + BKE_mball_batch_cache_dirty_tag_cb = DRW_mball_batch_cache_dirty_tag; + BKE_mball_batch_cache_free_cb = DRW_mball_batch_cache_free; - BKE_curve_batch_cache_dirty_tag_cb = DRW_curve_batch_cache_dirty_tag; - BKE_curve_batch_cache_free_cb = DRW_curve_batch_cache_free; + BKE_curve_batch_cache_dirty_tag_cb = DRW_curve_batch_cache_dirty_tag; + BKE_curve_batch_cache_free_cb = DRW_curve_batch_cache_free; - BKE_mesh_batch_cache_dirty_tag_cb = DRW_mesh_batch_cache_dirty_tag; - BKE_mesh_batch_cache_free_cb = DRW_mesh_batch_cache_free; + BKE_mesh_batch_cache_dirty_tag_cb = DRW_mesh_batch_cache_dirty_tag; + BKE_mesh_batch_cache_free_cb = DRW_mesh_batch_cache_free; - BKE_lattice_batch_cache_dirty_tag_cb = DRW_lattice_batch_cache_dirty_tag; - BKE_lattice_batch_cache_free_cb = DRW_lattice_batch_cache_free; + BKE_lattice_batch_cache_dirty_tag_cb = DRW_lattice_batch_cache_dirty_tag; + BKE_lattice_batch_cache_free_cb = DRW_lattice_batch_cache_free; - BKE_particle_batch_cache_dirty_tag_cb = DRW_particle_batch_cache_dirty_tag; - BKE_particle_batch_cache_free_cb = DRW_particle_batch_cache_free; + BKE_particle_batch_cache_dirty_tag_cb = DRW_particle_batch_cache_dirty_tag; + BKE_particle_batch_cache_free_cb = DRW_particle_batch_cache_free; - BKE_gpencil_batch_cache_dirty_tag_cb = DRW_gpencil_batch_cache_dirty_tag; - BKE_gpencil_batch_cache_free_cb = DRW_gpencil_batch_cache_free; - } + BKE_gpencil_batch_cache_dirty_tag_cb = DRW_gpencil_batch_cache_dirty_tag; + BKE_gpencil_batch_cache_free_cb = DRW_gpencil_batch_cache_free; + } } void DRW_engines_free(void) { - if (DST.gl_context == NULL) { - /* Nothing has been setup. Nothing to clear. - * Otherwise, DRW_opengl_context_enable can - * create a context in background mode. (see T62355) */ - return; - } + if (DST.gl_context == NULL) { + /* Nothing has been setup. Nothing to clear. + * Otherwise, DRW_opengl_context_enable can + * create a context in background mode. (see T62355) */ + return; + } - DRW_opengl_context_enable(); + DRW_opengl_context_enable(); - DRW_TEXTURE_FREE_SAFE(g_select_buffer.texture_u32); - DRW_TEXTURE_FREE_SAFE(g_select_buffer.texture_depth); - GPU_FRAMEBUFFER_FREE_SAFE(g_select_buffer.framebuffer_select_id); - GPU_FRAMEBUFFER_FREE_SAFE(g_select_buffer.framebuffer_depth_only); + DRW_TEXTURE_FREE_SAFE(g_select_buffer.texture_u32); + DRW_TEXTURE_FREE_SAFE(g_select_buffer.texture_depth); + GPU_FRAMEBUFFER_FREE_SAFE(g_select_buffer.framebuffer_select_id); + GPU_FRAMEBUFFER_FREE_SAFE(g_select_buffer.framebuffer_depth_only); - DRW_hair_free(); - DRW_shape_cache_free(); - DRW_stats_free(); - DRW_globals_free(); + DRW_hair_free(); + DRW_shape_cache_free(); + DRW_stats_free(); + DRW_globals_free(); - DrawEngineType *next; - for (DrawEngineType *type = DRW_engines.first; type; type = next) { - next = type->next; - BLI_remlink(&R_engines, type); + DrawEngineType *next; + for (DrawEngineType *type = DRW_engines.first; type; type = next) { + next = type->next; + BLI_remlink(&R_engines, type); - if (type->engine_free) { - type->engine_free(); - } - } + if (type->engine_free) { + type->engine_free(); + } + } - DRW_UBO_FREE_SAFE(G_draw.block_ubo); - DRW_UBO_FREE_SAFE(G_draw.view_ubo); - DRW_TEXTURE_FREE_SAFE(G_draw.ramp); - DRW_TEXTURE_FREE_SAFE(G_draw.weight_ramp); - MEM_SAFE_FREE(g_pos_format); + DRW_UBO_FREE_SAFE(G_draw.block_ubo); + DRW_UBO_FREE_SAFE(G_draw.view_ubo); + DRW_TEXTURE_FREE_SAFE(G_draw.ramp); + DRW_TEXTURE_FREE_SAFE(G_draw.weight_ramp); + MEM_SAFE_FREE(g_pos_format); - MEM_SAFE_FREE(DST.uniform_names.buffer); + MEM_SAFE_FREE(DST.uniform_names.buffer); - DRW_opengl_context_disable(); + DRW_opengl_context_disable(); } /** \} */ @@ -2795,128 +2797,128 @@ void DRW_engines_free(void) void DRW_opengl_context_create(void) { - BLI_assert(DST.gl_context == NULL); /* Ensure it's called once */ - - DST.gl_context_mutex = BLI_ticket_mutex_alloc(); - if (!G.background) { - immDeactivate(); - } - /* This changes the active context. */ - DST.gl_context = WM_opengl_context_create(); - WM_opengl_context_activate(DST.gl_context); - /* Be sure to create gawain.context too. */ - DST.gpu_context = GPU_context_create(); - if (!G.background) { - immActivate(); - } - /* Set default Blender OpenGL state */ - GPU_state_init(); - /* So we activate the window's one afterwards. */ - wm_window_reset_drawable(); + BLI_assert(DST.gl_context == NULL); /* Ensure it's called once */ + + DST.gl_context_mutex = BLI_ticket_mutex_alloc(); + if (!G.background) { + immDeactivate(); + } + /* This changes the active context. */ + DST.gl_context = WM_opengl_context_create(); + WM_opengl_context_activate(DST.gl_context); + /* Be sure to create gawain.context too. */ + DST.gpu_context = GPU_context_create(); + if (!G.background) { + immActivate(); + } + /* Set default Blender OpenGL state */ + GPU_state_init(); + /* So we activate the window's one afterwards. */ + wm_window_reset_drawable(); } void DRW_opengl_context_destroy(void) { - BLI_assert(BLI_thread_is_main()); - if (DST.gl_context != NULL) { - WM_opengl_context_activate(DST.gl_context); - GPU_context_active_set(DST.gpu_context); - GPU_context_discard(DST.gpu_context); - WM_opengl_context_dispose(DST.gl_context); - BLI_ticket_mutex_free(DST.gl_context_mutex); - } + BLI_assert(BLI_thread_is_main()); + if (DST.gl_context != NULL) { + WM_opengl_context_activate(DST.gl_context); + GPU_context_active_set(DST.gpu_context); + GPU_context_discard(DST.gpu_context); + WM_opengl_context_dispose(DST.gl_context); + BLI_ticket_mutex_free(DST.gl_context_mutex); + } } void DRW_opengl_context_enable_ex(bool restore) { - if (DST.gl_context != NULL) { - /* IMPORTANT: We dont support immediate mode in render mode! - * This shall remain in effect until immediate mode supports - * multiple threads. */ - BLI_ticket_mutex_lock(DST.gl_context_mutex); - if (BLI_thread_is_main() && restore) { - if (!G.background) { - immDeactivate(); - } - } - WM_opengl_context_activate(DST.gl_context); - GPU_context_active_set(DST.gpu_context); - if (BLI_thread_is_main() && restore) { - if (!G.background) { - immActivate(); - } - BLF_batch_reset(); - } - } + if (DST.gl_context != NULL) { + /* IMPORTANT: We dont support immediate mode in render mode! + * This shall remain in effect until immediate mode supports + * multiple threads. */ + BLI_ticket_mutex_lock(DST.gl_context_mutex); + if (BLI_thread_is_main() && restore) { + if (!G.background) { + immDeactivate(); + } + } + WM_opengl_context_activate(DST.gl_context); + GPU_context_active_set(DST.gpu_context); + if (BLI_thread_is_main() && restore) { + if (!G.background) { + immActivate(); + } + BLF_batch_reset(); + } + } } void DRW_opengl_context_disable_ex(bool restore) { - if (DST.gl_context != NULL) { + if (DST.gl_context != NULL) { #ifdef __APPLE__ - /* Need to flush before disabling draw context, otherwise it does not - * always finish drawing and viewport can be empty or partially drawn */ - GPU_flush(); + /* Need to flush before disabling draw context, otherwise it does not + * always finish drawing and viewport can be empty or partially drawn */ + GPU_flush(); #endif - if (BLI_thread_is_main() && restore) { - wm_window_reset_drawable(); - } - else { - WM_opengl_context_release(DST.gl_context); - GPU_context_active_set(NULL); - } + if (BLI_thread_is_main() && restore) { + wm_window_reset_drawable(); + } + else { + WM_opengl_context_release(DST.gl_context); + GPU_context_active_set(NULL); + } - BLI_ticket_mutex_unlock(DST.gl_context_mutex); - } + BLI_ticket_mutex_unlock(DST.gl_context_mutex); + } } void DRW_opengl_context_enable(void) { - if (G.background && DST.gl_context == NULL) { - WM_init_opengl(G_MAIN); - } - DRW_opengl_context_enable_ex(true); + if (G.background && DST.gl_context == NULL) { + WM_init_opengl(G_MAIN); + } + DRW_opengl_context_enable_ex(true); } void DRW_opengl_context_disable(void) { - DRW_opengl_context_disable_ex(true); + DRW_opengl_context_disable_ex(true); } void DRW_opengl_render_context_enable(void *re_gl_context) { - /* If thread is main you should use DRW_opengl_context_enable(). */ - BLI_assert(!BLI_thread_is_main()); + /* If thread is main you should use DRW_opengl_context_enable(). */ + BLI_assert(!BLI_thread_is_main()); - /* TODO get rid of the blocking. Only here because of the static global DST. */ - BLI_ticket_mutex_lock(DST.gl_context_mutex); - WM_opengl_context_activate(re_gl_context); + /* TODO get rid of the blocking. Only here because of the static global DST. */ + BLI_ticket_mutex_lock(DST.gl_context_mutex); + WM_opengl_context_activate(re_gl_context); } void DRW_opengl_render_context_disable(void *re_gl_context) { - GPU_flush(); - WM_opengl_context_release(re_gl_context); - /* TODO get rid of the blocking. */ - BLI_ticket_mutex_unlock(DST.gl_context_mutex); + GPU_flush(); + WM_opengl_context_release(re_gl_context); + /* TODO get rid of the blocking. */ + BLI_ticket_mutex_unlock(DST.gl_context_mutex); } /* Needs to be called AFTER DRW_opengl_render_context_enable() */ void DRW_gawain_render_context_enable(void *re_gpu_context) { - /* If thread is main you should use DRW_opengl_context_enable(). */ - BLI_assert(!BLI_thread_is_main()); + /* If thread is main you should use DRW_opengl_context_enable(). */ + BLI_assert(!BLI_thread_is_main()); - GPU_context_active_set(re_gpu_context); - DRW_shape_cache_reset(); /* XXX fix that too. */ + GPU_context_active_set(re_gpu_context); + DRW_shape_cache_reset(); /* XXX fix that too. */ } /* Needs to be called BEFORE DRW_opengl_render_context_disable() */ void DRW_gawain_render_context_disable(void *UNUSED(re_gpu_context)) { - DRW_shape_cache_reset(); /* XXX fix that too. */ - GPU_context_active_set(NULL); + DRW_shape_cache_reset(); /* XXX fix that too. */ + GPU_context_active_set(NULL); } /** \} */ diff --git a/source/blender/draw/intern/draw_manager.h b/source/blender/draw/intern/draw_manager.h index a489e3dd1a8..35e2ab86a80 100644 --- a/source/blender/draw/intern/draw_manager.h +++ b/source/blender/draw/intern/draw_manager.h @@ -56,27 +56,30 @@ # define PROFILE_TIMER_FALLOFF 0.04 -# define PROFILE_START(time_start) \ - double time_start = PIL_check_seconds_timer(); +# define PROFILE_START(time_start) double time_start = PIL_check_seconds_timer(); -# define PROFILE_END_ACCUM(time_accum, time_start) { \ - time_accum += (PIL_check_seconds_timer() - time_start) * 1e3; \ -} ((void)0) +# define PROFILE_END_ACCUM(time_accum, time_start) \ + { \ + time_accum += (PIL_check_seconds_timer() - time_start) * 1e3; \ + } \ + ((void)0) /* exp average */ -# define PROFILE_END_UPDATE(time_update, time_start) { \ - double _time_delta = (PIL_check_seconds_timer() - time_start) * 1e3; \ - time_update = (time_update * (1.0 - PROFILE_TIMER_FALLOFF)) + \ - (_time_delta * PROFILE_TIMER_FALLOFF); \ -} ((void)0) +# define PROFILE_END_UPDATE(time_update, time_start) \ + { \ + double _time_delta = (PIL_check_seconds_timer() - time_start) * 1e3; \ + time_update = (time_update * (1.0 - PROFILE_TIMER_FALLOFF)) + \ + (_time_delta * PROFILE_TIMER_FALLOFF); \ + } \ + ((void)0) -#else /* USE_PROFILE */ +#else /* USE_PROFILE */ # define PROFILE_START(time_start) ((void)0) # define PROFILE_END_ACCUM(time_accum, time_start) ((void)0) # define PROFILE_END_UPDATE(time_update, time_start) ((void)0) -#endif /* USE_PROFILE */ +#endif /* USE_PROFILE */ /* ------------ Data Structure --------------- */ /** @@ -87,337 +90,339 @@ /* Used by DRWCallState.flag */ enum { - DRW_CALL_CULLED = (1 << 0), - DRW_CALL_NEGSCALE = (1 << 1), - DRW_CALL_BYPASS_CULLING = (1 << 2), + DRW_CALL_CULLED = (1 << 0), + DRW_CALL_NEGSCALE = (1 << 1), + DRW_CALL_BYPASS_CULLING = (1 << 2), }; /* Used by DRWCallState.matflag */ enum { - DRW_CALL_MODELINVERSE = (1 << 0), - DRW_CALL_MODELVIEW = (1 << 1), - DRW_CALL_MODELVIEWINVERSE = (1 << 2), - DRW_CALL_MODELVIEWPROJECTION = (1 << 3), - DRW_CALL_NORMALVIEW = (1 << 4), - DRW_CALL_NORMALVIEWINVERSE = (1 << 5), - DRW_CALL_NORMALWORLD = (1 << 6), - DRW_CALL_ORCOTEXFAC = (1 << 7), - DRW_CALL_EYEVEC = (1 << 8), - DRW_CALL_OBJECTINFO = (1 << 9), + DRW_CALL_MODELINVERSE = (1 << 0), + DRW_CALL_MODELVIEW = (1 << 1), + DRW_CALL_MODELVIEWINVERSE = (1 << 2), + DRW_CALL_MODELVIEWPROJECTION = (1 << 3), + DRW_CALL_NORMALVIEW = (1 << 4), + DRW_CALL_NORMALVIEWINVERSE = (1 << 5), + DRW_CALL_NORMALWORLD = (1 << 6), + DRW_CALL_ORCOTEXFAC = (1 << 7), + DRW_CALL_EYEVEC = (1 << 8), + DRW_CALL_OBJECTINFO = (1 << 9), }; typedef struct DRWCallState { - DRWCallVisibilityFn *visibility_cb; - void *user_data; - - uchar flag; - uchar cache_id; /* Compared with DST.state_cache_id to see if matrices are still valid. */ - uint16_t matflag; /* Which matrices to compute. */ - /* Culling: Using Bounding Sphere for now for faster culling. - * Not ideal for planes. */ - BoundSphere bsphere; - /* Matrices */ - float model[4][4]; - float modelinverse[4][4]; - float modelview[4][4]; - float modelviewinverse[4][4]; - float modelviewprojection[4][4]; - float normalview[3][3]; - float normalviewinverse[3][3]; - float normalworld[3][3]; /* Not view dependent */ - float orcotexfac[2][3]; /* Not view dependent */ - float objectinfo[2]; - float eyevec[3]; + DRWCallVisibilityFn *visibility_cb; + void *user_data; + + uchar flag; + uchar cache_id; /* Compared with DST.state_cache_id to see if matrices are still valid. */ + uint16_t matflag; /* Which matrices to compute. */ + /* Culling: Using Bounding Sphere for now for faster culling. + * Not ideal for planes. */ + BoundSphere bsphere; + /* Matrices */ + float model[4][4]; + float modelinverse[4][4]; + float modelview[4][4]; + float modelviewinverse[4][4]; + float modelviewprojection[4][4]; + float normalview[3][3]; + float normalviewinverse[3][3]; + float normalworld[3][3]; /* Not view dependent */ + float orcotexfac[2][3]; /* Not view dependent */ + float objectinfo[2]; + float eyevec[3]; } DRWCallState; typedef enum { - /** A single batch. */ - DRW_CALL_SINGLE, - /** Like single but only draw a range of vertices/indices. */ - DRW_CALL_RANGE, - /** Draw instances without any instancing attributes. */ - DRW_CALL_INSTANCES, - /** Uses a callback to draw with any number of batches. */ - DRW_CALL_GENERATE, - /** Generate a drawcall without any #GPUBatch. */ - DRW_CALL_PROCEDURAL, + /** A single batch. */ + DRW_CALL_SINGLE, + /** Like single but only draw a range of vertices/indices. */ + DRW_CALL_RANGE, + /** Draw instances without any instancing attributes. */ + DRW_CALL_INSTANCES, + /** Uses a callback to draw with any number of batches. */ + DRW_CALL_GENERATE, + /** Generate a drawcall without any #GPUBatch. */ + DRW_CALL_PROCEDURAL, } DRWCallType; typedef struct DRWCall { - struct DRWCall *next; - DRWCallState *state; - - union { - struct { /* type == DRW_CALL_SINGLE */ - GPUBatch *geometry; - short ma_index; - } single; - struct { /* type == DRW_CALL_RANGE */ - GPUBatch *geometry; - uint start, count; - } range; - struct { /* type == DRW_CALL_INSTANCES */ - GPUBatch *geometry; - /* Count can be adjusted between redraw. If needed, we can add fixed count. */ - uint *count; - } instances; - struct { /* type == DRW_CALL_GENERATE */ - DRWCallGenerateFn *geometry_fn; - void *user_data; - } generate; - struct { /* type == DRW_CALL_PROCEDURAL */ - uint vert_count; - GPUPrimType prim_type; - } procedural; - }; - - DRWCallType type; + struct DRWCall *next; + DRWCallState *state; + + union { + struct { /* type == DRW_CALL_SINGLE */ + GPUBatch *geometry; + short ma_index; + } single; + struct { /* type == DRW_CALL_RANGE */ + GPUBatch *geometry; + uint start, count; + } range; + struct { /* type == DRW_CALL_INSTANCES */ + GPUBatch *geometry; + /* Count can be adjusted between redraw. If needed, we can add fixed count. */ + uint *count; + } instances; + struct { /* type == DRW_CALL_GENERATE */ + DRWCallGenerateFn *geometry_fn; + void *user_data; + } generate; + struct { /* type == DRW_CALL_PROCEDURAL */ + uint vert_count; + GPUPrimType prim_type; + } procedural; + }; + + DRWCallType type; #ifdef USE_GPU_SELECT - int select_id; + int select_id; #endif } DRWCall; /* Used by DRWUniform.type */ typedef enum { - DRW_UNIFORM_BOOL, - DRW_UNIFORM_BOOL_COPY, - DRW_UNIFORM_SHORT_TO_INT, - DRW_UNIFORM_SHORT_TO_FLOAT, - DRW_UNIFORM_INT, - DRW_UNIFORM_INT_COPY, - DRW_UNIFORM_FLOAT, - DRW_UNIFORM_FLOAT_COPY, - DRW_UNIFORM_TEXTURE, - DRW_UNIFORM_TEXTURE_PERSIST, - DRW_UNIFORM_TEXTURE_REF, - DRW_UNIFORM_BLOCK, - DRW_UNIFORM_BLOCK_PERSIST, + DRW_UNIFORM_BOOL, + DRW_UNIFORM_BOOL_COPY, + DRW_UNIFORM_SHORT_TO_INT, + DRW_UNIFORM_SHORT_TO_FLOAT, + DRW_UNIFORM_INT, + DRW_UNIFORM_INT_COPY, + DRW_UNIFORM_FLOAT, + DRW_UNIFORM_FLOAT_COPY, + DRW_UNIFORM_TEXTURE, + DRW_UNIFORM_TEXTURE_PERSIST, + DRW_UNIFORM_TEXTURE_REF, + DRW_UNIFORM_BLOCK, + DRW_UNIFORM_BLOCK_PERSIST, } DRWUniformType; struct DRWUniform { - DRWUniform *next; /* single-linked list */ - union { - /* For reference or array/vector types. */ - const void *pvalue; - /* Single values. */ - float fvalue; - int ivalue; - }; - int name_ofs; /* name offset in name buffer. */ - int location; - char type; /* DRWUniformType */ - char length; /* cannot be more than 16 */ - char arraysize; /* cannot be more than 16 too */ + DRWUniform *next; /* single-linked list */ + union { + /* For reference or array/vector types. */ + const void *pvalue; + /* Single values. */ + float fvalue; + int ivalue; + }; + int name_ofs; /* name offset in name buffer. */ + int location; + char type; /* DRWUniformType */ + char length; /* cannot be more than 16 */ + char arraysize; /* cannot be more than 16 too */ }; typedef enum { - DRW_SHG_NORMAL, - DRW_SHG_POINT_BATCH, - DRW_SHG_LINE_BATCH, - DRW_SHG_TRIANGLE_BATCH, - DRW_SHG_INSTANCE, - DRW_SHG_INSTANCE_EXTERNAL, - DRW_SHG_FEEDBACK_TRANSFORM, + DRW_SHG_NORMAL, + DRW_SHG_POINT_BATCH, + DRW_SHG_LINE_BATCH, + DRW_SHG_TRIANGLE_BATCH, + DRW_SHG_INSTANCE, + DRW_SHG_INSTANCE_EXTERNAL, + DRW_SHG_FEEDBACK_TRANSFORM, } DRWShadingGroupType; struct DRWShadingGroup { - DRWShadingGroup *next; - - GPUShader *shader; /* Shader to bind */ - DRWUniform *uniforms; /* Uniforms pointers */ - - /* Watch this! Can be nasty for debugging. */ - union { - struct { /* DRW_SHG_NORMAL */ - DRWCall *first, *last; /* Linked list of DRWCall or DRWCallDynamic depending of type */ - } calls; - struct { /* DRW_SHG_FEEDBACK_TRANSFORM */ - DRWCall *first, *last; /* Linked list of DRWCall or DRWCallDynamic depending of type */ - struct GPUVertBuf *tfeedback_target; /* Transform Feedback target. */ - }; - struct { /* DRW_SHG_***_BATCH */ - struct GPUBatch *batch_geom; /* Result of call batching */ - struct GPUVertBuf *batch_vbo; - uint primitive_count; - }; - struct { /* DRW_SHG_INSTANCE[_EXTERNAL] */ - struct GPUBatch *instance_geom; - struct GPUVertBuf *instance_vbo; - uint instance_count; - float instance_orcofac[2][3]; /* TODO find a better place. */ - }; - }; - - DRWState state_extra; /* State changes for this batch only (or'd with the pass's state) */ - DRWState state_extra_disable; /* State changes for this batch only (and'd with the pass's state) */ - uint stencil_mask; /* Stencil mask to use for stencil test / write operations */ - DRWShadingGroupType type; - - /* Builtin matrices locations */ - int model; - int modelinverse; - int modelview; - int modelviewinverse; - int modelviewprojection; - int normalview; - int normalviewinverse; - int normalworld; - int orcotexfac; - int eye; - int callid; - int objectinfo; - uint16_t matflag; /* Matrices needed, same as DRWCall.flag */ - - DRWPass *pass_parent; /* backlink to pass we're in */ + DRWShadingGroup *next; + + GPUShader *shader; /* Shader to bind */ + DRWUniform *uniforms; /* Uniforms pointers */ + + /* Watch this! Can be nasty for debugging. */ + union { + struct { /* DRW_SHG_NORMAL */ + DRWCall *first, *last; /* Linked list of DRWCall or DRWCallDynamic depending of type */ + } calls; + struct { /* DRW_SHG_FEEDBACK_TRANSFORM */ + DRWCall *first, *last; /* Linked list of DRWCall or DRWCallDynamic depending of type */ + struct GPUVertBuf *tfeedback_target; /* Transform Feedback target. */ + }; + struct { /* DRW_SHG_***_BATCH */ + struct GPUBatch *batch_geom; /* Result of call batching */ + struct GPUVertBuf *batch_vbo; + uint primitive_count; + }; + struct { /* DRW_SHG_INSTANCE[_EXTERNAL] */ + struct GPUBatch *instance_geom; + struct GPUVertBuf *instance_vbo; + uint instance_count; + float instance_orcofac[2][3]; /* TODO find a better place. */ + }; + }; + + DRWState state_extra; /* State changes for this batch only (or'd with the pass's state) */ + DRWState + state_extra_disable; /* State changes for this batch only (and'd with the pass's state) */ + uint stencil_mask; /* Stencil mask to use for stencil test / write operations */ + DRWShadingGroupType type; + + /* Builtin matrices locations */ + int model; + int modelinverse; + int modelview; + int modelviewinverse; + int modelviewprojection; + int normalview; + int normalviewinverse; + int normalworld; + int orcotexfac; + int eye; + int callid; + int objectinfo; + uint16_t matflag; /* Matrices needed, same as DRWCall.flag */ + + DRWPass *pass_parent; /* backlink to pass we're in */ #ifndef NDEBUG - char attrs_count; + char attrs_count; #endif #ifdef USE_GPU_SELECT - GPUVertBuf *inst_selectid; - int override_selectid; /* Override for single object instances. */ + GPUVertBuf *inst_selectid; + int override_selectid; /* Override for single object instances. */ #endif }; #define MAX_PASS_NAME 32 struct DRWPass { - /* Linked list */ - struct { - DRWShadingGroup *first; - DRWShadingGroup *last; - } shgroups; - - DRWState state; - char name[MAX_PASS_NAME]; + /* Linked list */ + struct { + DRWShadingGroup *first; + DRWShadingGroup *last; + } shgroups; + + DRWState state; + char name[MAX_PASS_NAME]; }; typedef struct ViewUboStorage { - DRWMatrixState matstate; - float viewcamtexcofac[4]; - float clipplanes[2][4]; + DRWMatrixState matstate; + float viewcamtexcofac[4]; + float clipplanes[2][4]; } ViewUboStorage; /* ------------- DRAW DEBUG ------------ */ typedef struct DRWDebugLine { - struct DRWDebugLine *next; /* linked list */ - float pos[2][3]; - float color[4]; + struct DRWDebugLine *next; /* linked list */ + float pos[2][3]; + float color[4]; } DRWDebugLine; typedef struct DRWDebugSphere { - struct DRWDebugSphere *next; /* linked list */ - float mat[4][4]; - float color[4]; + struct DRWDebugSphere *next; /* linked list */ + float mat[4][4]; + float color[4]; } DRWDebugSphere; /* ------------- DRAW MANAGER ------------ */ -#define DST_MAX_SLOTS 64 /* Cannot be changed without modifying RST.bound_tex_slots */ +#define DST_MAX_SLOTS 64 /* Cannot be changed without modifying RST.bound_tex_slots */ #define MAX_CLIP_PLANES 6 /* GL_MAX_CLIP_PLANES is at least 6 */ #define STENCIL_UNDEFINED 256 typedef struct DRWManager { - /* TODO clean up this struct a bit */ - /* Cache generation */ - ViewportMemoryPool *vmempool; - DRWInstanceDataList *idatalist; - DRWInstanceData *object_instance_data[MAX_INSTANCE_DATA_SIZE]; - /* State of the object being evaluated if already allocated. */ - DRWCallState *ob_state; - uchar state_cache_id; /* Could be larger but 254 view changes is already a lot! */ - struct DupliObject *dupli_source; - struct Object *dupli_parent; - - /* Rendering state */ - GPUShader *shader; - - /* Managed by `DRW_state_set`, `DRW_state_reset` */ - DRWState state; - DRWState state_lock; - uint stencil_mask; - - /* Per viewport */ - GPUViewport *viewport; - struct GPUFrameBuffer *default_framebuffer; - float size[2]; - float inv_size[2]; - float screenvecs[2][3]; - float pixsize; - - GLenum backface, frontface; - - struct { - uint is_select : 1; - uint is_depth : 1; - uint is_image_render : 1; - uint is_scene_render : 1; - uint draw_background : 1; - uint draw_text : 1; - } options; - - /* Current rendering context */ - DRWContextState draw_ctx; - - /* Convenience pointer to text_store owned by the viewport */ - struct DRWTextStore **text_store_p; - - ListBase enabled_engines; /* RenderEngineType */ - - bool buffer_finish_called; /* Avoid bad usage of DRW_render_instance_buffer_finish */ - - /* View dependent uniforms. */ - DRWMatrixState original_mat; /* Original rv3d matrices. */ - int override_mat; /* Bitflag of which matrices are overridden. */ - int clip_planes_len; /* Number of active clipplanes. */ - bool dirty_mat; - - /* keep in sync with viewBlock */ - ViewUboStorage view_data; - - struct { - float frustum_planes[6][4]; - BoundBox frustum_corners; - BoundSphere frustum_bsphere; - bool updated; - } clipping; + /* TODO clean up this struct a bit */ + /* Cache generation */ + ViewportMemoryPool *vmempool; + DRWInstanceDataList *idatalist; + DRWInstanceData *object_instance_data[MAX_INSTANCE_DATA_SIZE]; + /* State of the object being evaluated if already allocated. */ + DRWCallState *ob_state; + uchar state_cache_id; /* Could be larger but 254 view changes is already a lot! */ + struct DupliObject *dupli_source; + struct Object *dupli_parent; + + /* Rendering state */ + GPUShader *shader; + + /* Managed by `DRW_state_set`, `DRW_state_reset` */ + DRWState state; + DRWState state_lock; + uint stencil_mask; + + /* Per viewport */ + GPUViewport *viewport; + struct GPUFrameBuffer *default_framebuffer; + float size[2]; + float inv_size[2]; + float screenvecs[2][3]; + float pixsize; + + GLenum backface, frontface; + + struct { + uint is_select : 1; + uint is_depth : 1; + uint is_image_render : 1; + uint is_scene_render : 1; + uint draw_background : 1; + uint draw_text : 1; + } options; + + /* Current rendering context */ + DRWContextState draw_ctx; + + /* Convenience pointer to text_store owned by the viewport */ + struct DRWTextStore **text_store_p; + + ListBase enabled_engines; /* RenderEngineType */ + + bool buffer_finish_called; /* Avoid bad usage of DRW_render_instance_buffer_finish */ + + /* View dependent uniforms. */ + DRWMatrixState original_mat; /* Original rv3d matrices. */ + int override_mat; /* Bitflag of which matrices are overridden. */ + int clip_planes_len; /* Number of active clipplanes. */ + bool dirty_mat; + + /* keep in sync with viewBlock */ + ViewUboStorage view_data; + + struct { + float frustum_planes[6][4]; + BoundBox frustum_corners; + BoundSphere frustum_bsphere; + bool updated; + } clipping; #ifdef USE_GPU_SELECT - uint select_id; + uint select_id; #endif - /* ---------- Nothing after this point is cleared after use ----------- */ - - /* gl_context serves as the offset for clearing only - * the top portion of the struct so DO NOT MOVE IT! */ - void *gl_context; /* Unique ghost context used by the draw manager. */ - GPUContext *gpu_context; - TicketMutex *gl_context_mutex; /* Mutex to lock the drw manager and avoid concurrent context usage. */ - - /** GPU Resource State: Memory storage between drawing. */ - struct { - /* High end GPUs supports up to 32 binds per shader stage. - * We only use textures during the vertex and fragment stage, - * so 2 * 32 slots is a nice limit. */ - GPUTexture *bound_texs[DST_MAX_SLOTS]; - uint64_t bound_tex_slots; - uint64_t bound_tex_slots_persist; - - GPUUniformBuffer *bound_ubos[DST_MAX_SLOTS]; - uint64_t bound_ubo_slots; - uint64_t bound_ubo_slots_persist; - } RST; - - struct { - /* TODO(fclem) optimize: use chunks. */ - DRWDebugLine *lines; - DRWDebugSphere *spheres; - } debug; - - struct { - char *buffer; - uint buffer_len; - uint buffer_ofs; - } uniform_names; + /* ---------- Nothing after this point is cleared after use ----------- */ + + /* gl_context serves as the offset for clearing only + * the top portion of the struct so DO NOT MOVE IT! */ + void *gl_context; /* Unique ghost context used by the draw manager. */ + GPUContext *gpu_context; + TicketMutex + *gl_context_mutex; /* Mutex to lock the drw manager and avoid concurrent context usage. */ + + /** GPU Resource State: Memory storage between drawing. */ + struct { + /* High end GPUs supports up to 32 binds per shader stage. + * We only use textures during the vertex and fragment stage, + * so 2 * 32 slots is a nice limit. */ + GPUTexture *bound_texs[DST_MAX_SLOTS]; + uint64_t bound_tex_slots; + uint64_t bound_tex_slots_persist; + + GPUUniformBuffer *bound_ubos[DST_MAX_SLOTS]; + uint64_t bound_ubo_slots; + uint64_t bound_ubo_slots_persist; + } RST; + + struct { + /* TODO(fclem) optimize: use chunks. */ + DRWDebugLine *lines; + DRWDebugSphere *spheres; + } debug; + + struct { + char *buffer; + uint buffer_len; + uint buffer_ofs; + } uniform_names; } DRWManager; extern DRWManager DST; /* TODO : get rid of this and allow multithreaded rendering */ diff --git a/source/blender/draw/intern/draw_manager_data.c b/source/blender/draw/intern/draw_manager_data.c index 7f553c0926d..4a9f4fe910b 100644 --- a/source/blender/draw/intern/draw_manager_data.c +++ b/source/blender/draw/intern/draw_manager_data.c @@ -48,17 +48,17 @@ struct GPUVertFormat *g_pos_format = NULL; GPUUniformBuffer *DRW_uniformbuffer_create(int size, const void *data) { - return GPU_uniformbuffer_create(size, data, NULL); + return GPU_uniformbuffer_create(size, data, NULL); } void DRW_uniformbuffer_update(GPUUniformBuffer *ubo, const void *data) { - GPU_uniformbuffer_update(ubo, data); + GPU_uniformbuffer_update(ubo, data); } void DRW_uniformbuffer_free(GPUUniformBuffer *ubo) { - GPU_uniformbuffer_free(ubo); + GPU_uniformbuffer_free(ubo); } /** \} */ @@ -67,198 +67,245 @@ void DRW_uniformbuffer_free(GPUUniformBuffer *ubo) /** \name Uniforms (DRW_shgroup_uniform) * \{ */ -static void drw_shgroup_uniform_create_ex(DRWShadingGroup *shgroup, int loc, - DRWUniformType type, const void *value, int length, int arraysize) -{ - DRWUniform *uni = BLI_mempool_alloc(DST.vmempool->uniforms); - uni->location = loc; - uni->type = type; - uni->length = length; - uni->arraysize = arraysize; - - switch (type) { - case DRW_UNIFORM_INT_COPY: - uni->ivalue = *((int *)value); - break; - case DRW_UNIFORM_BOOL_COPY: - uni->ivalue = (int)*((bool *)value); - break; - case DRW_UNIFORM_FLOAT_COPY: - uni->fvalue = *((float *)value); - break; - default: - uni->pvalue = value; - break; - } - - BLI_LINKS_PREPEND(shgroup->uniforms, uni); +static void drw_shgroup_uniform_create_ex(DRWShadingGroup *shgroup, + int loc, + DRWUniformType type, + const void *value, + int length, + int arraysize) +{ + DRWUniform *uni = BLI_mempool_alloc(DST.vmempool->uniforms); + uni->location = loc; + uni->type = type; + uni->length = length; + uni->arraysize = arraysize; + + switch (type) { + case DRW_UNIFORM_INT_COPY: + uni->ivalue = *((int *)value); + break; + case DRW_UNIFORM_BOOL_COPY: + uni->ivalue = (int)*((bool *)value); + break; + case DRW_UNIFORM_FLOAT_COPY: + uni->fvalue = *((float *)value); + break; + default: + uni->pvalue = value; + break; + } + + BLI_LINKS_PREPEND(shgroup->uniforms, uni); } static void drw_shgroup_builtin_uniform( - DRWShadingGroup *shgroup, int builtin, const void *value, int length, int arraysize) + DRWShadingGroup *shgroup, int builtin, const void *value, int length, int arraysize) { - int loc = GPU_shader_get_builtin_uniform(shgroup->shader, builtin); + int loc = GPU_shader_get_builtin_uniform(shgroup->shader, builtin); - if (loc != -1) { - drw_shgroup_uniform_create_ex(shgroup, loc, DRW_UNIFORM_FLOAT, value, length, arraysize); - } + if (loc != -1) { + drw_shgroup_uniform_create_ex(shgroup, loc, DRW_UNIFORM_FLOAT, value, length, arraysize); + } } -static void drw_shgroup_uniform(DRWShadingGroup *shgroup, const char *name, - DRWUniformType type, const void *value, int length, int arraysize) +static void drw_shgroup_uniform(DRWShadingGroup *shgroup, + const char *name, + DRWUniformType type, + const void *value, + int length, + int arraysize) { - int location; - if (ELEM(type, DRW_UNIFORM_BLOCK, DRW_UNIFORM_BLOCK_PERSIST)) { - location = GPU_shader_get_uniform_block(shgroup->shader, name); - } - else { - location = GPU_shader_get_uniform(shgroup->shader, name); - } + int location; + if (ELEM(type, DRW_UNIFORM_BLOCK, DRW_UNIFORM_BLOCK_PERSIST)) { + location = GPU_shader_get_uniform_block(shgroup->shader, name); + } + else { + location = GPU_shader_get_uniform(shgroup->shader, name); + } - if (location == -1) { - /* Nice to enable eventually, for now eevee uses uniforms that might not exist. */ - // BLI_assert(0); - return; - } + if (location == -1) { + /* Nice to enable eventually, for now eevee uses uniforms that might not exist. */ + // BLI_assert(0); + return; + } - BLI_assert(arraysize > 0 && arraysize <= 16); - BLI_assert(length >= 0 && length <= 16); + BLI_assert(arraysize > 0 && arraysize <= 16); + BLI_assert(length >= 0 && length <= 16); - drw_shgroup_uniform_create_ex(shgroup, location, type, value, length, arraysize); + drw_shgroup_uniform_create_ex(shgroup, location, type, value, length, arraysize); - /* If location is -2, the uniform has not yet been queried. - * We save the name for query just before drawing. */ - if (location == -2 || DRW_DEBUG_USE_UNIFORM_NAME) { - int ofs = DST.uniform_names.buffer_ofs; - int max_len = DST.uniform_names.buffer_len - ofs; - size_t len = strlen(name) + 1; + /* If location is -2, the uniform has not yet been queried. + * We save the name for query just before drawing. */ + if (location == -2 || DRW_DEBUG_USE_UNIFORM_NAME) { + int ofs = DST.uniform_names.buffer_ofs; + int max_len = DST.uniform_names.buffer_len - ofs; + size_t len = strlen(name) + 1; - if (len >= max_len) { - DST.uniform_names.buffer_len += DRW_UNIFORM_BUFFER_NAME_INC; - DST.uniform_names.buffer = MEM_reallocN(DST.uniform_names.buffer, DST.uniform_names.buffer_len); - } + if (len >= max_len) { + DST.uniform_names.buffer_len += DRW_UNIFORM_BUFFER_NAME_INC; + DST.uniform_names.buffer = MEM_reallocN(DST.uniform_names.buffer, + DST.uniform_names.buffer_len); + } - char *dst = DST.uniform_names.buffer + ofs; - memcpy(dst, name, len); /* Copies NULL terminator. */ + char *dst = DST.uniform_names.buffer + ofs; + memcpy(dst, name, len); /* Copies NULL terminator. */ - DST.uniform_names.buffer_ofs += len; - shgroup->uniforms->name_ofs = ofs; - } + DST.uniform_names.buffer_ofs += len; + shgroup->uniforms->name_ofs = ofs; + } } void DRW_shgroup_uniform_texture(DRWShadingGroup *shgroup, const char *name, const GPUTexture *tex) { - BLI_assert(tex != NULL); - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE, tex, 0, 1); + BLI_assert(tex != NULL); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE, tex, 0, 1); } /* Same as DRW_shgroup_uniform_texture but is guaranteed to be bound if shader does not change between shgrp. */ -void DRW_shgroup_uniform_texture_persistent(DRWShadingGroup *shgroup, const char *name, const GPUTexture *tex) +void DRW_shgroup_uniform_texture_persistent(DRWShadingGroup *shgroup, + const char *name, + const GPUTexture *tex) { - BLI_assert(tex != NULL); - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE_PERSIST, tex, 0, 1); + BLI_assert(tex != NULL); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE_PERSIST, tex, 0, 1); } -void DRW_shgroup_uniform_block(DRWShadingGroup *shgroup, const char *name, const GPUUniformBuffer *ubo) +void DRW_shgroup_uniform_block(DRWShadingGroup *shgroup, + const char *name, + const GPUUniformBuffer *ubo) { - BLI_assert(ubo != NULL); - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BLOCK, ubo, 0, 1); + BLI_assert(ubo != NULL); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BLOCK, ubo, 0, 1); } /* Same as DRW_shgroup_uniform_block but is guaranteed to be bound if shader does not change between shgrp. */ -void DRW_shgroup_uniform_block_persistent(DRWShadingGroup *shgroup, const char *name, const GPUUniformBuffer *ubo) +void DRW_shgroup_uniform_block_persistent(DRWShadingGroup *shgroup, + const char *name, + const GPUUniformBuffer *ubo) { - BLI_assert(ubo != NULL); - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BLOCK_PERSIST, ubo, 0, 1); + BLI_assert(ubo != NULL); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BLOCK_PERSIST, ubo, 0, 1); } void DRW_shgroup_uniform_texture_ref(DRWShadingGroup *shgroup, const char *name, GPUTexture **tex) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE_REF, tex, 0, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_TEXTURE_REF, tex, 0, 1); } -void DRW_shgroup_uniform_bool(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize) +void DRW_shgroup_uniform_bool(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BOOL, value, 1, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BOOL, value, 1, arraysize); } -void DRW_shgroup_uniform_float(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize) +void DRW_shgroup_uniform_float(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 1, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 1, arraysize); } -void DRW_shgroup_uniform_vec2(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize) +void DRW_shgroup_uniform_vec2(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 2, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 2, arraysize); } -void DRW_shgroup_uniform_vec3(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize) +void DRW_shgroup_uniform_vec3(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 3, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 3, arraysize); } -void DRW_shgroup_uniform_vec4(DRWShadingGroup *shgroup, const char *name, const float *value, int arraysize) +void DRW_shgroup_uniform_vec4(DRWShadingGroup *shgroup, + const char *name, + const float *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 4, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, value, 4, arraysize); } -void DRW_shgroup_uniform_short_to_int(DRWShadingGroup *shgroup, const char *name, const short *value, int arraysize) +void DRW_shgroup_uniform_short_to_int(DRWShadingGroup *shgroup, + const char *name, + const short *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_SHORT_TO_INT, value, 1, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_SHORT_TO_INT, value, 1, arraysize); } -void DRW_shgroup_uniform_short_to_float(DRWShadingGroup *shgroup, const char *name, const short *value, int arraysize) +void DRW_shgroup_uniform_short_to_float(DRWShadingGroup *shgroup, + const char *name, + const short *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_SHORT_TO_FLOAT, value, 1, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_SHORT_TO_FLOAT, value, 1, arraysize); } -void DRW_shgroup_uniform_int(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize) +void DRW_shgroup_uniform_int(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 1, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 1, arraysize); } -void DRW_shgroup_uniform_ivec2(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize) +void DRW_shgroup_uniform_ivec2(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 2, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 2, arraysize); } -void DRW_shgroup_uniform_ivec3(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize) +void DRW_shgroup_uniform_ivec3(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 3, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 3, arraysize); } -void DRW_shgroup_uniform_ivec4(DRWShadingGroup *shgroup, const char *name, const int *value, int arraysize) +void DRW_shgroup_uniform_ivec4(DRWShadingGroup *shgroup, + const char *name, + const int *value, + int arraysize) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 4, arraysize); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT, value, 4, arraysize); } void DRW_shgroup_uniform_mat3(DRWShadingGroup *shgroup, const char *name, const float (*value)[3]) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, (float *)value, 9, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, (float *)value, 9, 1); } void DRW_shgroup_uniform_mat4(DRWShadingGroup *shgroup, const char *name, const float (*value)[4]) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, (float *)value, 16, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT, (float *)value, 16, 1); } /* Stores the int instead of a pointer. */ void DRW_shgroup_uniform_int_copy(DRWShadingGroup *shgroup, const char *name, const int value) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT_COPY, &value, 1, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_INT_COPY, &value, 1, 1); } void DRW_shgroup_uniform_bool_copy(DRWShadingGroup *shgroup, const char *name, const bool value) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BOOL_COPY, &value, 1, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_BOOL_COPY, &value, 1, 1); } void DRW_shgroup_uniform_float_copy(DRWShadingGroup *shgroup, const char *name, const float value) { - drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT_COPY, &value, 1, 1); + drw_shgroup_uniform(shgroup, name, DRW_UNIFORM_FLOAT_COPY, &value, 1, 1); } - /** \} */ /* -------------------------------------------------------------------- */ @@ -267,390 +314,410 @@ void DRW_shgroup_uniform_float_copy(DRWShadingGroup *shgroup, const char *name, static void drw_call_calc_orco(Object *ob, float (*r_orcofacs)[3]) { - ID *ob_data = (ob) ? ob->data : NULL; - float *texcoloc = NULL; - float *texcosize = NULL; - if (ob_data != NULL) { - switch (GS(ob_data->name)) { - case ID_ME: - BKE_mesh_texspace_get_reference((Mesh *)ob_data, NULL, &texcoloc, NULL, &texcosize); - break; - case ID_CU: - { - Curve *cu = (Curve *)ob_data; - if (cu->bb == NULL || (cu->bb->flag & BOUNDBOX_DIRTY)) { - BKE_curve_texspace_calc(cu); - } - texcoloc = cu->loc; - texcosize = cu->size; - break; - } - case ID_MB: - { - MetaBall *mb = (MetaBall *)ob_data; - texcoloc = mb->loc; - texcosize = mb->size; - break; - } - default: - break; - } - } - - if ((texcoloc != NULL) && (texcosize != NULL)) { - mul_v3_v3fl(r_orcofacs[1], texcosize, 2.0f); - invert_v3(r_orcofacs[1]); - sub_v3_v3v3(r_orcofacs[0], texcoloc, texcosize); - negate_v3(r_orcofacs[0]); - mul_v3_v3(r_orcofacs[0], r_orcofacs[1]); /* result in a nice MADD in the shader */ - } - else { - copy_v3_fl(r_orcofacs[0], 0.0f); - copy_v3_fl(r_orcofacs[1], 1.0f); - } -} - -static void drw_call_state_update_matflag(DRWCallState *state, DRWShadingGroup *shgroup, Object *ob) -{ - uint16_t new_flags = ((state->matflag ^ shgroup->matflag) & shgroup->matflag); - - /* HACK: Here we set the matflags bit to 1 when computing the value - * so that it's not recomputed for other drawcalls. - * This is the opposite of what draw_matrices_model_prepare() does. */ - state->matflag |= shgroup->matflag; - - /* Orco factors: We compute this at creation to not have to save the *ob_data */ - if ((new_flags & DRW_CALL_ORCOTEXFAC) != 0) { - drw_call_calc_orco(ob, state->orcotexfac); - } - - if ((new_flags & DRW_CALL_OBJECTINFO) != 0) { - state->objectinfo[0] = ob ? ob->index : 0; - uint random; - if (DST.dupli_source) { - random = DST.dupli_source->random_id; - } - else { - random = BLI_hash_int_2d(BLI_hash_string(ob->id.name + 2), 0); - } - state->objectinfo[1] = random * (1.0f / (float)0xFFFFFFFF); - } + ID *ob_data = (ob) ? ob->data : NULL; + float *texcoloc = NULL; + float *texcosize = NULL; + if (ob_data != NULL) { + switch (GS(ob_data->name)) { + case ID_ME: + BKE_mesh_texspace_get_reference((Mesh *)ob_data, NULL, &texcoloc, NULL, &texcosize); + break; + case ID_CU: { + Curve *cu = (Curve *)ob_data; + if (cu->bb == NULL || (cu->bb->flag & BOUNDBOX_DIRTY)) { + BKE_curve_texspace_calc(cu); + } + texcoloc = cu->loc; + texcosize = cu->size; + break; + } + case ID_MB: { + MetaBall *mb = (MetaBall *)ob_data; + texcoloc = mb->loc; + texcosize = mb->size; + break; + } + default: + break; + } + } + + if ((texcoloc != NULL) && (texcosize != NULL)) { + mul_v3_v3fl(r_orcofacs[1], texcosize, 2.0f); + invert_v3(r_orcofacs[1]); + sub_v3_v3v3(r_orcofacs[0], texcoloc, texcosize); + negate_v3(r_orcofacs[0]); + mul_v3_v3(r_orcofacs[0], r_orcofacs[1]); /* result in a nice MADD in the shader */ + } + else { + copy_v3_fl(r_orcofacs[0], 0.0f); + copy_v3_fl(r_orcofacs[1], 1.0f); + } +} + +static void drw_call_state_update_matflag(DRWCallState *state, + DRWShadingGroup *shgroup, + Object *ob) +{ + uint16_t new_flags = ((state->matflag ^ shgroup->matflag) & shgroup->matflag); + + /* HACK: Here we set the matflags bit to 1 when computing the value + * so that it's not recomputed for other drawcalls. + * This is the opposite of what draw_matrices_model_prepare() does. */ + state->matflag |= shgroup->matflag; + + /* Orco factors: We compute this at creation to not have to save the *ob_data */ + if ((new_flags & DRW_CALL_ORCOTEXFAC) != 0) { + drw_call_calc_orco(ob, state->orcotexfac); + } + + if ((new_flags & DRW_CALL_OBJECTINFO) != 0) { + state->objectinfo[0] = ob ? ob->index : 0; + uint random; + if (DST.dupli_source) { + random = DST.dupli_source->random_id; + } + else { + random = BLI_hash_int_2d(BLI_hash_string(ob->id.name + 2), 0); + } + state->objectinfo[1] = random * (1.0f / (float)0xFFFFFFFF); + } } static DRWCallState *drw_call_state_create(DRWShadingGroup *shgroup, float (*obmat)[4], Object *ob) { - DRWCallState *state = BLI_mempool_alloc(DST.vmempool->states); - state->flag = 0; - state->cache_id = 0; - state->visibility_cb = NULL; - state->matflag = 0; - - /* Matrices */ - if (obmat != NULL) { - copy_m4_m4(state->model, obmat); - - if (is_negative_m4(state->model)) { - state->flag |= DRW_CALL_NEGSCALE; - } - } - else { - unit_m4(state->model); - } - - if (ob != NULL) { - float corner[3]; - BoundBox *bbox = BKE_object_boundbox_get(ob); - /* Get BoundSphere center and radius from the BoundBox. */ - mid_v3_v3v3(state->bsphere.center, bbox->vec[0], bbox->vec[6]); - mul_v3_m4v3(corner, obmat, bbox->vec[0]); - mul_m4_v3(obmat, state->bsphere.center); - state->bsphere.radius = len_v3v3(state->bsphere.center, corner); - } - else { - /* Bypass test. */ - state->bsphere.radius = -1.0f; - } - - drw_call_state_update_matflag(state, shgroup, ob); - - return state; + DRWCallState *state = BLI_mempool_alloc(DST.vmempool->states); + state->flag = 0; + state->cache_id = 0; + state->visibility_cb = NULL; + state->matflag = 0; + + /* Matrices */ + if (obmat != NULL) { + copy_m4_m4(state->model, obmat); + + if (is_negative_m4(state->model)) { + state->flag |= DRW_CALL_NEGSCALE; + } + } + else { + unit_m4(state->model); + } + + if (ob != NULL) { + float corner[3]; + BoundBox *bbox = BKE_object_boundbox_get(ob); + /* Get BoundSphere center and radius from the BoundBox. */ + mid_v3_v3v3(state->bsphere.center, bbox->vec[0], bbox->vec[6]); + mul_v3_m4v3(corner, obmat, bbox->vec[0]); + mul_m4_v3(obmat, state->bsphere.center); + state->bsphere.radius = len_v3v3(state->bsphere.center, corner); + } + else { + /* Bypass test. */ + state->bsphere.radius = -1.0f; + } + + drw_call_state_update_matflag(state, shgroup, ob); + + return state; } static DRWCallState *drw_call_state_object(DRWShadingGroup *shgroup, float (*obmat)[4], Object *ob) { - if (DST.ob_state == NULL) { - DST.ob_state = drw_call_state_create(shgroup, obmat, ob); - } - else { - /* If the DRWCallState is reused, add necessary matrices. */ - drw_call_state_update_matflag(DST.ob_state, shgroup, ob); - } + if (DST.ob_state == NULL) { + DST.ob_state = drw_call_state_create(shgroup, obmat, ob); + } + else { + /* If the DRWCallState is reused, add necessary matrices. */ + drw_call_state_update_matflag(DST.ob_state, shgroup, ob); + } - return DST.ob_state; + return DST.ob_state; } void DRW_shgroup_call_add(DRWShadingGroup *shgroup, GPUBatch *geom, float (*obmat)[4]) { - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_create(shgroup, obmat, NULL); - call->type = DRW_CALL_SINGLE; - call->single.geometry = geom; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_create(shgroup, obmat, NULL); + call->type = DRW_CALL_SINGLE; + call->single.geometry = geom; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -void DRW_shgroup_call_range_add(DRWShadingGroup *shgroup, GPUBatch *geom, float (*obmat)[4], uint v_sta, uint v_count) +void DRW_shgroup_call_range_add( + DRWShadingGroup *shgroup, GPUBatch *geom, float (*obmat)[4], uint v_sta, uint v_count) { - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - BLI_assert(v_count); + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(v_count); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_create(shgroup, obmat, NULL); - call->type = DRW_CALL_RANGE; - call->range.geometry = geom; - call->range.start = v_sta; - call->range.count = v_count; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_create(shgroup, obmat, NULL); + call->type = DRW_CALL_RANGE; + call->range.geometry = geom; + call->range.start = v_sta; + call->range.count = v_count; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -static void drw_shgroup_call_procedural_add_ex( - DRWShadingGroup *shgroup, GPUPrimType prim_type, uint vert_count, float (*obmat)[4], Object *ob) +static void drw_shgroup_call_procedural_add_ex(DRWShadingGroup *shgroup, + GPUPrimType prim_type, + uint vert_count, + float (*obmat)[4], + Object *ob) { - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - if (ob) { - call->state = drw_call_state_object(shgroup, ob->obmat, ob); - } - else { - call->state = drw_call_state_create(shgroup, obmat, NULL); - } - call->type = DRW_CALL_PROCEDURAL; - call->procedural.prim_type = prim_type; - call->procedural.vert_count = vert_count; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + if (ob) { + call->state = drw_call_state_object(shgroup, ob->obmat, ob); + } + else { + call->state = drw_call_state_create(shgroup, obmat, NULL); + } + call->type = DRW_CALL_PROCEDURAL; + call->procedural.prim_type = prim_type; + call->procedural.vert_count = vert_count; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -void DRW_shgroup_call_procedural_points_add(DRWShadingGroup *shgroup, uint point_len, float (*obmat)[4]) +void DRW_shgroup_call_procedural_points_add(DRWShadingGroup *shgroup, + uint point_len, + float (*obmat)[4]) { - drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_POINTS, point_len, obmat, NULL); + drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_POINTS, point_len, obmat, NULL); } -void DRW_shgroup_call_procedural_lines_add(DRWShadingGroup *shgroup, uint line_count, float (*obmat)[4]) +void DRW_shgroup_call_procedural_lines_add(DRWShadingGroup *shgroup, + uint line_count, + float (*obmat)[4]) { - drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_LINES, line_count * 2, obmat, NULL); + drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_LINES, line_count * 2, obmat, NULL); } -void DRW_shgroup_call_procedural_triangles_add(DRWShadingGroup *shgroup, uint tria_count, float (*obmat)[4]) +void DRW_shgroup_call_procedural_triangles_add(DRWShadingGroup *shgroup, + uint tria_count, + float (*obmat)[4]) { - drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_TRIS, tria_count * 3, obmat, NULL); + drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_TRIS, tria_count * 3, obmat, NULL); } /* TODO (fclem): this is a sign that the api is starting to be limiting. * Maybe add special function that general purpose for special cases. */ -void DRW_shgroup_call_object_procedural_triangles_culled_add(DRWShadingGroup *shgroup, uint tria_count, Object *ob) +void DRW_shgroup_call_object_procedural_triangles_culled_add(DRWShadingGroup *shgroup, + uint tria_count, + Object *ob) { - drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_TRIS, tria_count * 3, NULL, ob); + drw_shgroup_call_procedural_add_ex(shgroup, GPU_PRIM_TRIS, tria_count * 3, NULL, ob); } /* These calls can be culled and are optimized for redraw */ -void DRW_shgroup_call_object_add_ex(DRWShadingGroup *shgroup, GPUBatch *geom, Object *ob, Material *ma, bool bypass_culling) +void DRW_shgroup_call_object_add_ex( + DRWShadingGroup *shgroup, GPUBatch *geom, Object *ob, Material *ma, bool bypass_culling) { - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_object(shgroup, ob->obmat, ob); - call->type = DRW_CALL_SINGLE; - call->single.geometry = geom; - call->single.ma_index = ma ? ma->index : 0; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_object(shgroup, ob->obmat, ob); + call->type = DRW_CALL_SINGLE; + call->single.geometry = geom; + call->single.ma_index = ma ? ma->index : 0; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - /* NOTE this will disable culling for the whole object. */ - call->state->flag |= (bypass_culling) ? DRW_CALL_BYPASS_CULLING : 0; + /* NOTE this will disable culling for the whole object. */ + call->state->flag |= (bypass_culling) ? DRW_CALL_BYPASS_CULLING : 0; - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -void DRW_shgroup_call_object_add_with_callback( - DRWShadingGroup *shgroup, GPUBatch *geom, Object *ob, Material *ma, - DRWCallVisibilityFn *callback, void *user_data) +void DRW_shgroup_call_object_add_with_callback(DRWShadingGroup *shgroup, + GPUBatch *geom, + Object *ob, + Material *ma, + DRWCallVisibilityFn *callback, + void *user_data) { - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_object(shgroup, ob->obmat, ob); - call->state->visibility_cb = callback; - call->state->user_data = user_data; - call->type = DRW_CALL_SINGLE; - call->single.geometry = geom; - call->single.ma_index = ma ? ma->index : 0; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_object(shgroup, ob->obmat, ob); + call->state->visibility_cb = callback; + call->state->user_data = user_data; + call->type = DRW_CALL_SINGLE; + call->single.geometry = geom; + call->single.ma_index = ma ? ma->index : 0; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -void DRW_shgroup_call_instances_add(DRWShadingGroup *shgroup, GPUBatch *geom, float (*obmat)[4], uint *count) +void DRW_shgroup_call_instances_add(DRWShadingGroup *shgroup, + GPUBatch *geom, + float (*obmat)[4], + uint *count) { - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_create(shgroup, obmat, NULL); - call->type = DRW_CALL_INSTANCES; - call->instances.geometry = geom; - call->instances.count = count; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_create(shgroup, obmat, NULL); + call->type = DRW_CALL_INSTANCES; + call->instances.geometry = geom; + call->instances.count = count; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } /* These calls can be culled and are optimized for redraw */ -void DRW_shgroup_call_object_instances_add(DRWShadingGroup *shgroup, GPUBatch *geom, Object *ob, uint *count) -{ - BLI_assert(geom != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_object(shgroup, ob->obmat, ob); - call->type = DRW_CALL_INSTANCES; - call->instances.geometry = geom; - call->instances.count = count; +void DRW_shgroup_call_object_instances_add(DRWShadingGroup *shgroup, + GPUBatch *geom, + Object *ob, + uint *count) +{ + BLI_assert(geom != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_object(shgroup, ob->obmat, ob); + call->type = DRW_CALL_INSTANCES; + call->instances.geometry = geom; + call->instances.count = count; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -void DRW_shgroup_call_generate_add( - DRWShadingGroup *shgroup, - DRWCallGenerateFn *geometry_fn, void *user_data, - float (*obmat)[4]) +void DRW_shgroup_call_generate_add(DRWShadingGroup *shgroup, + DRWCallGenerateFn *geometry_fn, + void *user_data, + float (*obmat)[4]) { - BLI_assert(geometry_fn != NULL); - BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); + BLI_assert(geometry_fn != NULL); + BLI_assert(ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)); - DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); - call->state = drw_call_state_create(shgroup, obmat, NULL); - call->type = DRW_CALL_GENERATE; - call->generate.geometry_fn = geometry_fn; - call->generate.user_data = user_data; + DRWCall *call = BLI_mempool_alloc(DST.vmempool->calls); + call->state = drw_call_state_create(shgroup, obmat, NULL); + call->type = DRW_CALL_GENERATE; + call->generate.geometry_fn = geometry_fn; + call->generate.user_data = user_data; #ifdef USE_GPU_SELECT - call->select_id = DST.select_id; + call->select_id = DST.select_id; #endif - BLI_LINKS_APPEND(&shgroup->calls, call); + BLI_LINKS_APPEND(&shgroup->calls, call); } -static void sculpt_draw_cb( - DRWShadingGroup *shgroup, - void (*draw_fn)(DRWShadingGroup *shgroup, GPUBatch *geom), - void *user_data) +static void sculpt_draw_cb(DRWShadingGroup *shgroup, + void (*draw_fn)(DRWShadingGroup *shgroup, GPUBatch *geom), + void *user_data) { - Object *ob = user_data; + Object *ob = user_data; - /* XXX should be ensured before but sometime it's not... go figure (see T57040). */ - PBVH *pbvh = BKE_sculpt_object_pbvh_ensure(DST.draw_ctx.depsgraph, ob); + /* XXX should be ensured before but sometime it's not... go figure (see T57040). */ + PBVH *pbvh = BKE_sculpt_object_pbvh_ensure(DST.draw_ctx.depsgraph, ob); - const DRWContextState *drwctx = DRW_context_state_get(); - int fast_mode = 0; + const DRWContextState *drwctx = DRW_context_state_get(); + int fast_mode = 0; - if (drwctx->evil_C != NULL) { - Paint *p = BKE_paint_get_active_from_context(drwctx->evil_C); - if (p && (p->flags & PAINT_FAST_NAVIGATE)) { - fast_mode = drwctx->rv3d->rflag & RV3D_NAVIGATING; - } - } + if (drwctx->evil_C != NULL) { + Paint *p = BKE_paint_get_active_from_context(drwctx->evil_C); + if (p && (p->flags & PAINT_FAST_NAVIGATE)) { + fast_mode = drwctx->rv3d->rflag & RV3D_NAVIGATING; + } + } - if (pbvh) { - BKE_pbvh_draw_cb( - pbvh, NULL, NULL, fast_mode, false, false, - (void (*)(void *, GPUBatch *))draw_fn, shgroup); - } + if (pbvh) { + BKE_pbvh_draw_cb( + pbvh, NULL, NULL, fast_mode, false, false, (void (*)(void *, GPUBatch *))draw_fn, shgroup); + } } -static void sculpt_draw_wires_cb( - DRWShadingGroup *shgroup, - void (*draw_fn)(DRWShadingGroup *shgroup, GPUBatch *geom), - void *user_data) +static void sculpt_draw_wires_cb(DRWShadingGroup *shgroup, + void (*draw_fn)(DRWShadingGroup *shgroup, GPUBatch *geom), + void *user_data) { - Object *ob = user_data; + Object *ob = user_data; - /* XXX should be ensured before but sometime it's not... go figure (see T57040). */ - PBVH *pbvh = BKE_sculpt_object_pbvh_ensure(DST.draw_ctx.depsgraph, ob); + /* XXX should be ensured before but sometime it's not... go figure (see T57040). */ + PBVH *pbvh = BKE_sculpt_object_pbvh_ensure(DST.draw_ctx.depsgraph, ob); - const DRWContextState *drwctx = DRW_context_state_get(); - int fast_mode = 0; + const DRWContextState *drwctx = DRW_context_state_get(); + int fast_mode = 0; - if (drwctx->evil_C != NULL) { - Paint *p = BKE_paint_get_active_from_context(drwctx->evil_C); - if (p && (p->flags & PAINT_FAST_NAVIGATE)) { - fast_mode = drwctx->rv3d->rflag & RV3D_NAVIGATING; - } - } + if (drwctx->evil_C != NULL) { + Paint *p = BKE_paint_get_active_from_context(drwctx->evil_C); + if (p && (p->flags & PAINT_FAST_NAVIGATE)) { + fast_mode = drwctx->rv3d->rflag & RV3D_NAVIGATING; + } + } - if (pbvh) { - BKE_pbvh_draw_cb( - pbvh, NULL, NULL, fast_mode, true, false, - (void (*)(void *, GPUBatch *))draw_fn, shgroup); - } + if (pbvh) { + BKE_pbvh_draw_cb( + pbvh, NULL, NULL, fast_mode, true, false, (void (*)(void *, GPUBatch *))draw_fn, shgroup); + } } void DRW_shgroup_call_sculpt_add(DRWShadingGroup *shgroup, Object *ob, float (*obmat)[4]) { - DRW_shgroup_call_generate_add(shgroup, sculpt_draw_cb, ob, obmat); + DRW_shgroup_call_generate_add(shgroup, sculpt_draw_cb, ob, obmat); } void DRW_shgroup_call_sculpt_wires_add(DRWShadingGroup *shgroup, Object *ob, float (*obmat)[4]) { - DRW_shgroup_call_generate_add(shgroup, sculpt_draw_wires_cb, ob, obmat); + DRW_shgroup_call_generate_add(shgroup, sculpt_draw_wires_cb, ob, obmat); } -void DRW_shgroup_call_dynamic_add_array(DRWShadingGroup *shgroup, const void *attr[], uint attr_len) +void DRW_shgroup_call_dynamic_add_array(DRWShadingGroup *shgroup, + const void *attr[], + uint attr_len) { #ifdef USE_GPU_SELECT - if (G.f & G_FLAG_PICKSEL) { - if (shgroup->instance_count == shgroup->inst_selectid->vertex_len) { - GPU_vertbuf_data_resize(shgroup->inst_selectid, shgroup->instance_count + 32); - } - GPU_vertbuf_attr_set(shgroup->inst_selectid, 0, shgroup->instance_count, &DST.select_id); - } + if (G.f & G_FLAG_PICKSEL) { + if (shgroup->instance_count == shgroup->inst_selectid->vertex_len) { + GPU_vertbuf_data_resize(shgroup->inst_selectid, shgroup->instance_count + 32); + } + GPU_vertbuf_attr_set(shgroup->inst_selectid, 0, shgroup->instance_count, &DST.select_id); + } #endif - BLI_assert(attr_len == shgroup->attrs_count); - UNUSED_VARS_NDEBUG(attr_len); + BLI_assert(attr_len == shgroup->attrs_count); + UNUSED_VARS_NDEBUG(attr_len); - for (int i = 0; i < attr_len; ++i) { - if (shgroup->instance_count == shgroup->instance_vbo->vertex_len) { - GPU_vertbuf_data_resize(shgroup->instance_vbo, shgroup->instance_count + 32); - } - GPU_vertbuf_attr_set(shgroup->instance_vbo, i, shgroup->instance_count, attr[i]); - } + for (int i = 0; i < attr_len; ++i) { + if (shgroup->instance_count == shgroup->instance_vbo->vertex_len) { + GPU_vertbuf_data_resize(shgroup->instance_vbo, shgroup->instance_count + 32); + } + GPU_vertbuf_attr_set(shgroup->instance_vbo, i, shgroup->instance_count, attr[i]); + } - shgroup->instance_count += 1; + shgroup->instance_count += 1; } /** \} */ @@ -661,336 +728,371 @@ void DRW_shgroup_call_dynamic_add_array(DRWShadingGroup *shgroup, const void *at static void drw_shgroup_init(DRWShadingGroup *shgroup, GPUShader *shader) { - shgroup->instance_geom = NULL; - shgroup->instance_vbo = NULL; - shgroup->instance_count = 0; - shgroup->uniforms = NULL; + shgroup->instance_geom = NULL; + shgroup->instance_vbo = NULL; + shgroup->instance_count = 0; + shgroup->uniforms = NULL; #ifdef USE_GPU_SELECT - shgroup->inst_selectid = NULL; - shgroup->override_selectid = -1; + shgroup->inst_selectid = NULL; + shgroup->override_selectid = -1; #endif #ifndef NDEBUG - shgroup->attrs_count = 0; + shgroup->attrs_count = 0; #endif - int view_ubo_location = GPU_shader_get_uniform_block(shader, "viewBlock"); - - if (view_ubo_location != -1) { - drw_shgroup_uniform_create_ex(shgroup, view_ubo_location, DRW_UNIFORM_BLOCK_PERSIST, G_draw.view_ubo, 0, 1); - } - else { - /* Only here to support builtin shaders. This should not be used by engines. */ - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_VIEW, DST.view_data.matstate.mat[DRW_MAT_VIEW], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_VIEW_INV, DST.view_data.matstate.mat[DRW_MAT_VIEWINV], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_VIEWPROJECTION, DST.view_data.matstate.mat[DRW_MAT_PERS], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_VIEWPROJECTION_INV, DST.view_data.matstate.mat[DRW_MAT_PERSINV], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_PROJECTION, DST.view_data.matstate.mat[DRW_MAT_WIN], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_PROJECTION_INV, DST.view_data.matstate.mat[DRW_MAT_WININV], 16, 1); - drw_shgroup_builtin_uniform(shgroup, GPU_UNIFORM_CAMERATEXCO, DST.view_data.viewcamtexcofac, 3, 2); - } - - shgroup->model = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODEL); - shgroup->modelinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODEL_INV); - shgroup->modelview = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODELVIEW); - shgroup->modelviewinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODELVIEW_INV); - shgroup->modelviewprojection = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MVP); - shgroup->normalview = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_NORMAL); - shgroup->normalviewinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_NORMAL_INV); - shgroup->normalworld = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_WORLDNORMAL); - shgroup->orcotexfac = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_ORCO); - shgroup->objectinfo = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_OBJECT_INFO); - shgroup->eye = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_EYE); - shgroup->callid = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_CALLID); - - shgroup->matflag = 0; - if (shgroup->modelinverse > -1) { - shgroup->matflag |= DRW_CALL_MODELINVERSE; - } - if (shgroup->modelview > -1) { - shgroup->matflag |= DRW_CALL_MODELVIEW; - } - if (shgroup->modelviewinverse > -1) { - shgroup->matflag |= DRW_CALL_MODELVIEWINVERSE; - } - if (shgroup->modelviewprojection > -1) { - shgroup->matflag |= DRW_CALL_MODELVIEWPROJECTION; - } - if (shgroup->normalview > -1) { - shgroup->matflag |= DRW_CALL_NORMALVIEW; - } - if (shgroup->normalviewinverse > -1) { - shgroup->matflag |= DRW_CALL_NORMALVIEWINVERSE; - } - if (shgroup->normalworld > -1) { - shgroup->matflag |= DRW_CALL_NORMALWORLD; - } - if (shgroup->orcotexfac > -1) { - shgroup->matflag |= DRW_CALL_ORCOTEXFAC; - } - if (shgroup->objectinfo > -1) { - shgroup->matflag |= DRW_CALL_OBJECTINFO; - } - if (shgroup->eye > -1) { - shgroup->matflag |= DRW_CALL_EYEVEC; - } -} - -static void drw_shgroup_instance_init( - DRWShadingGroup *shgroup, GPUShader *shader, GPUBatch *batch, GPUVertFormat *format) -{ - BLI_assert(shgroup->type == DRW_SHG_INSTANCE); - BLI_assert(batch != NULL); - BLI_assert(format != NULL); - - drw_shgroup_init(shgroup, shader); - - shgroup->instance_geom = batch; + int view_ubo_location = GPU_shader_get_uniform_block(shader, "viewBlock"); + + if (view_ubo_location != -1) { + drw_shgroup_uniform_create_ex( + shgroup, view_ubo_location, DRW_UNIFORM_BLOCK_PERSIST, G_draw.view_ubo, 0, 1); + } + else { + /* Only here to support builtin shaders. This should not be used by engines. */ + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_VIEW, DST.view_data.matstate.mat[DRW_MAT_VIEW], 16, 1); + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_VIEW_INV, DST.view_data.matstate.mat[DRW_MAT_VIEWINV], 16, 1); + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_VIEWPROJECTION, DST.view_data.matstate.mat[DRW_MAT_PERS], 16, 1); + drw_shgroup_builtin_uniform(shgroup, + GPU_UNIFORM_VIEWPROJECTION_INV, + DST.view_data.matstate.mat[DRW_MAT_PERSINV], + 16, + 1); + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_PROJECTION, DST.view_data.matstate.mat[DRW_MAT_WIN], 16, 1); + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_PROJECTION_INV, DST.view_data.matstate.mat[DRW_MAT_WININV], 16, 1); + drw_shgroup_builtin_uniform( + shgroup, GPU_UNIFORM_CAMERATEXCO, DST.view_data.viewcamtexcofac, 3, 2); + } + + shgroup->model = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODEL); + shgroup->modelinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODEL_INV); + shgroup->modelview = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODELVIEW); + shgroup->modelviewinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MODELVIEW_INV); + shgroup->modelviewprojection = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_MVP); + shgroup->normalview = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_NORMAL); + shgroup->normalviewinverse = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_NORMAL_INV); + shgroup->normalworld = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_WORLDNORMAL); + shgroup->orcotexfac = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_ORCO); + shgroup->objectinfo = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_OBJECT_INFO); + shgroup->eye = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_EYE); + shgroup->callid = GPU_shader_get_builtin_uniform(shader, GPU_UNIFORM_CALLID); + + shgroup->matflag = 0; + if (shgroup->modelinverse > -1) { + shgroup->matflag |= DRW_CALL_MODELINVERSE; + } + if (shgroup->modelview > -1) { + shgroup->matflag |= DRW_CALL_MODELVIEW; + } + if (shgroup->modelviewinverse > -1) { + shgroup->matflag |= DRW_CALL_MODELVIEWINVERSE; + } + if (shgroup->modelviewprojection > -1) { + shgroup->matflag |= DRW_CALL_MODELVIEWPROJECTION; + } + if (shgroup->normalview > -1) { + shgroup->matflag |= DRW_CALL_NORMALVIEW; + } + if (shgroup->normalviewinverse > -1) { + shgroup->matflag |= DRW_CALL_NORMALVIEWINVERSE; + } + if (shgroup->normalworld > -1) { + shgroup->matflag |= DRW_CALL_NORMALWORLD; + } + if (shgroup->orcotexfac > -1) { + shgroup->matflag |= DRW_CALL_ORCOTEXFAC; + } + if (shgroup->objectinfo > -1) { + shgroup->matflag |= DRW_CALL_OBJECTINFO; + } + if (shgroup->eye > -1) { + shgroup->matflag |= DRW_CALL_EYEVEC; + } +} + +static void drw_shgroup_instance_init(DRWShadingGroup *shgroup, + GPUShader *shader, + GPUBatch *batch, + GPUVertFormat *format) +{ + BLI_assert(shgroup->type == DRW_SHG_INSTANCE); + BLI_assert(batch != NULL); + BLI_assert(format != NULL); + + drw_shgroup_init(shgroup, shader); + + shgroup->instance_geom = batch; #ifndef NDEBUG - shgroup->attrs_count = format->attr_len; + shgroup->attrs_count = format->attr_len; #endif - DRW_instancing_buffer_request(DST.idatalist, format, batch, shgroup, - &shgroup->instance_geom, &shgroup->instance_vbo); + DRW_instancing_buffer_request( + DST.idatalist, format, batch, shgroup, &shgroup->instance_geom, &shgroup->instance_vbo); #ifdef USE_GPU_SELECT - if (G.f & G_FLAG_PICKSEL) { - /* Not actually used for rendering but alloced in one chunk. - * Plus we don't have to care about ownership. */ - static GPUVertFormat inst_select_format = {0}; - if (inst_select_format.attr_len == 0) { - GPU_vertformat_attr_add(&inst_select_format, "selectId", GPU_COMP_I32, 1, GPU_FETCH_INT); - } - GPUBatch *batch_dummy; /* Not used */ - DRW_batching_buffer_request(DST.idatalist, &inst_select_format, - GPU_PRIM_POINTS, shgroup, - &batch_dummy, &shgroup->inst_selectid); - } + if (G.f & G_FLAG_PICKSEL) { + /* Not actually used for rendering but alloced in one chunk. + * Plus we don't have to care about ownership. */ + static GPUVertFormat inst_select_format = {0}; + if (inst_select_format.attr_len == 0) { + GPU_vertformat_attr_add(&inst_select_format, "selectId", GPU_COMP_I32, 1, GPU_FETCH_INT); + } + GPUBatch *batch_dummy; /* Not used */ + DRW_batching_buffer_request(DST.idatalist, + &inst_select_format, + GPU_PRIM_POINTS, + shgroup, + &batch_dummy, + &shgroup->inst_selectid); + } #endif } -static void drw_shgroup_batching_init( - DRWShadingGroup *shgroup, GPUShader *shader, GPUVertFormat *format) +static void drw_shgroup_batching_init(DRWShadingGroup *shgroup, + GPUShader *shader, + GPUVertFormat *format) { - drw_shgroup_init(shgroup, shader); + drw_shgroup_init(shgroup, shader); #ifndef NDEBUG - shgroup->attrs_count = (format != NULL) ? format->attr_len : 0; + shgroup->attrs_count = (format != NULL) ? format->attr_len : 0; #endif - BLI_assert(format != NULL); - - GPUPrimType type; - switch (shgroup->type) { - case DRW_SHG_POINT_BATCH: type = GPU_PRIM_POINTS; break; - case DRW_SHG_LINE_BATCH: type = GPU_PRIM_LINES; break; - case DRW_SHG_TRIANGLE_BATCH: type = GPU_PRIM_TRIS; break; - default: type = GPU_PRIM_NONE; BLI_assert(0); break; - } - - DRW_batching_buffer_request(DST.idatalist, format, type, shgroup, - &shgroup->batch_geom, &shgroup->batch_vbo); + BLI_assert(format != NULL); + + GPUPrimType type; + switch (shgroup->type) { + case DRW_SHG_POINT_BATCH: + type = GPU_PRIM_POINTS; + break; + case DRW_SHG_LINE_BATCH: + type = GPU_PRIM_LINES; + break; + case DRW_SHG_TRIANGLE_BATCH: + type = GPU_PRIM_TRIS; + break; + default: + type = GPU_PRIM_NONE; + BLI_assert(0); + break; + } + + DRW_batching_buffer_request( + DST.idatalist, format, type, shgroup, &shgroup->batch_geom, &shgroup->batch_vbo); #ifdef USE_GPU_SELECT - if (G.f & G_FLAG_PICKSEL) { - /* Not actually used for rendering but alloced in one chunk. */ - static GPUVertFormat inst_select_format = {0}; - if (inst_select_format.attr_len == 0) { - GPU_vertformat_attr_add(&inst_select_format, "selectId", GPU_COMP_I32, 1, GPU_FETCH_INT); - } - GPUBatch *batch; /* Not used */ - DRW_batching_buffer_request(DST.idatalist, &inst_select_format, - GPU_PRIM_POINTS, shgroup, - &batch, &shgroup->inst_selectid); - } + if (G.f & G_FLAG_PICKSEL) { + /* Not actually used for rendering but alloced in one chunk. */ + static GPUVertFormat inst_select_format = {0}; + if (inst_select_format.attr_len == 0) { + GPU_vertformat_attr_add(&inst_select_format, "selectId", GPU_COMP_I32, 1, GPU_FETCH_INT); + } + GPUBatch *batch; /* Not used */ + DRW_batching_buffer_request(DST.idatalist, + &inst_select_format, + GPU_PRIM_POINTS, + shgroup, + &batch, + &shgroup->inst_selectid); + } #endif } static DRWShadingGroup *drw_shgroup_create_ex(struct GPUShader *shader, DRWPass *pass) { - DRWShadingGroup *shgroup = BLI_mempool_alloc(DST.vmempool->shgroups); + DRWShadingGroup *shgroup = BLI_mempool_alloc(DST.vmempool->shgroups); - BLI_LINKS_APPEND(&pass->shgroups, shgroup); + BLI_LINKS_APPEND(&pass->shgroups, shgroup); - shgroup->type = DRW_SHG_NORMAL; - shgroup->shader = shader; - shgroup->state_extra = 0; - shgroup->state_extra_disable = ~0x0; - shgroup->stencil_mask = 0; - shgroup->calls.first = NULL; - shgroup->calls.last = NULL; + shgroup->type = DRW_SHG_NORMAL; + shgroup->shader = shader; + shgroup->state_extra = 0; + shgroup->state_extra_disable = ~0x0; + shgroup->stencil_mask = 0; + shgroup->calls.first = NULL; + shgroup->calls.last = NULL; #if 0 /* All the same in the union! */ - shgroup->batch_geom = NULL; - shgroup->batch_vbo = NULL; + shgroup->batch_geom = NULL; + shgroup->batch_vbo = NULL; - shgroup->instance_geom = NULL; - shgroup->instance_vbo = NULL; + shgroup->instance_geom = NULL; + shgroup->instance_vbo = NULL; #endif - shgroup->pass_parent = pass; + shgroup->pass_parent = pass; - return shgroup; + return shgroup; } static DRWShadingGroup *drw_shgroup_material_create_ex(GPUPass *gpupass, DRWPass *pass) { - if (!gpupass) { - /* Shader compilation error */ - return NULL; - } + if (!gpupass) { + /* Shader compilation error */ + return NULL; + } - GPUShader *sh = GPU_pass_shader_get(gpupass); + GPUShader *sh = GPU_pass_shader_get(gpupass); - if (!sh) { - /* Shader not yet compiled */ - return NULL; - } + if (!sh) { + /* Shader not yet compiled */ + return NULL; + } - DRWShadingGroup *grp = drw_shgroup_create_ex(sh, pass); - return grp; + DRWShadingGroup *grp = drw_shgroup_create_ex(sh, pass); + return grp; } -static DRWShadingGroup *drw_shgroup_material_inputs(DRWShadingGroup *grp, struct GPUMaterial *material) +static DRWShadingGroup *drw_shgroup_material_inputs(DRWShadingGroup *grp, + struct GPUMaterial *material) { - ListBase *inputs = GPU_material_get_inputs(material); + ListBase *inputs = GPU_material_get_inputs(material); - /* Converting dynamic GPUInput to DRWUniform */ - for (GPUInput *input = inputs->first; input; input = input->next) { - /* Textures */ - if (input->source == GPU_SOURCE_TEX) { - GPUTexture *tex = NULL; + /* Converting dynamic GPUInput to DRWUniform */ + for (GPUInput *input = inputs->first; input; input = input->next) { + /* Textures */ + if (input->source == GPU_SOURCE_TEX) { + GPUTexture *tex = NULL; - if (input->ima) { - tex = GPU_texture_from_blender(input->ima, input->iuser, GL_TEXTURE_2D, input->image_isdata); - } - else { - /* Color Ramps */ - tex = *input->coba; - } + if (input->ima) { + tex = GPU_texture_from_blender( + input->ima, input->iuser, GL_TEXTURE_2D, input->image_isdata); + } + else { + /* Color Ramps */ + tex = *input->coba; + } - if (input->bindtex) { - drw_shgroup_uniform_create_ex(grp, input->shaderloc, DRW_UNIFORM_TEXTURE, tex, 0, 1); - } - } - } + if (input->bindtex) { + drw_shgroup_uniform_create_ex(grp, input->shaderloc, DRW_UNIFORM_TEXTURE, tex, 0, 1); + } + } + } - GPUUniformBuffer *ubo = GPU_material_uniform_buffer_get(material); - if (ubo != NULL) { - DRW_shgroup_uniform_block(grp, GPU_UBO_BLOCK_NAME, ubo); - } + GPUUniformBuffer *ubo = GPU_material_uniform_buffer_get(material); + if (ubo != NULL) { + DRW_shgroup_uniform_block(grp, GPU_UBO_BLOCK_NAME, ubo); + } - return grp; + return grp; } -GPUVertFormat *DRW_shgroup_instance_format_array(const DRWInstanceAttrFormat attrs[], int arraysize) +GPUVertFormat *DRW_shgroup_instance_format_array(const DRWInstanceAttrFormat attrs[], + int arraysize) { - GPUVertFormat *format = MEM_callocN(sizeof(GPUVertFormat), "GPUVertFormat"); + GPUVertFormat *format = MEM_callocN(sizeof(GPUVertFormat), "GPUVertFormat"); - for (int i = 0; i < arraysize; ++i) { - GPU_vertformat_attr_add( - format, attrs[i].name, - (attrs[i].type == DRW_ATTR_INT) ? GPU_COMP_I32 : GPU_COMP_F32, - attrs[i].components, - (attrs[i].type == DRW_ATTR_INT) ? GPU_FETCH_INT : GPU_FETCH_FLOAT); - } - return format; + for (int i = 0; i < arraysize; ++i) { + GPU_vertformat_attr_add(format, + attrs[i].name, + (attrs[i].type == DRW_ATTR_INT) ? GPU_COMP_I32 : GPU_COMP_F32, + attrs[i].components, + (attrs[i].type == DRW_ATTR_INT) ? GPU_FETCH_INT : GPU_FETCH_FLOAT); + } + return format; } -DRWShadingGroup *DRW_shgroup_material_create( - struct GPUMaterial *material, DRWPass *pass) +DRWShadingGroup *DRW_shgroup_material_create(struct GPUMaterial *material, DRWPass *pass) { - GPUPass *gpupass = GPU_material_get_pass(material); - DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); + GPUPass *gpupass = GPU_material_get_pass(material); + DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); - if (shgroup) { - drw_shgroup_init(shgroup, GPU_pass_shader_get(gpupass)); - drw_shgroup_material_inputs(shgroup, material); - } + if (shgroup) { + drw_shgroup_init(shgroup, GPU_pass_shader_get(gpupass)); + drw_shgroup_material_inputs(shgroup, material); + } - return shgroup; + return shgroup; } DRWShadingGroup *DRW_shgroup_material_instance_create( - struct GPUMaterial *material, DRWPass *pass, GPUBatch *geom, Object *ob, GPUVertFormat *format) + struct GPUMaterial *material, DRWPass *pass, GPUBatch *geom, Object *ob, GPUVertFormat *format) { - GPUPass *gpupass = GPU_material_get_pass(material); - DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); + GPUPass *gpupass = GPU_material_get_pass(material); + DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); - if (shgroup) { - shgroup->type = DRW_SHG_INSTANCE; - shgroup->instance_geom = geom; - drw_call_calc_orco(ob, shgroup->instance_orcofac); - drw_shgroup_instance_init(shgroup, GPU_pass_shader_get(gpupass), geom, format); - drw_shgroup_material_inputs(shgroup, material); - } + if (shgroup) { + shgroup->type = DRW_SHG_INSTANCE; + shgroup->instance_geom = geom; + drw_call_calc_orco(ob, shgroup->instance_orcofac); + drw_shgroup_instance_init(shgroup, GPU_pass_shader_get(gpupass), geom, format); + drw_shgroup_material_inputs(shgroup, material); + } - return shgroup; + return shgroup; } -DRWShadingGroup *DRW_shgroup_material_empty_tri_batch_create( - struct GPUMaterial *material, DRWPass *pass, int tri_count) +DRWShadingGroup *DRW_shgroup_material_empty_tri_batch_create(struct GPUMaterial *material, + DRWPass *pass, + int tri_count) { #ifdef USE_GPU_SELECT - BLI_assert((G.f & G_FLAG_PICKSEL) == 0); + BLI_assert((G.f & G_FLAG_PICKSEL) == 0); #endif - GPUPass *gpupass = GPU_material_get_pass(material); - DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); + GPUPass *gpupass = GPU_material_get_pass(material); + DRWShadingGroup *shgroup = drw_shgroup_material_create_ex(gpupass, pass); - if (shgroup) { - /* Calling drw_shgroup_init will cause it to call GPU_draw_primitive(). */ - drw_shgroup_init(shgroup, GPU_pass_shader_get(gpupass)); - shgroup->type = DRW_SHG_TRIANGLE_BATCH; - shgroup->instance_count = tri_count * 3; - drw_shgroup_material_inputs(shgroup, material); - } + if (shgroup) { + /* Calling drw_shgroup_init will cause it to call GPU_draw_primitive(). */ + drw_shgroup_init(shgroup, GPU_pass_shader_get(gpupass)); + shgroup->type = DRW_SHG_TRIANGLE_BATCH; + shgroup->instance_count = tri_count * 3; + drw_shgroup_material_inputs(shgroup, material); + } - return shgroup; + return shgroup; } DRWShadingGroup *DRW_shgroup_create(struct GPUShader *shader, DRWPass *pass) { - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - drw_shgroup_init(shgroup, shader); - return shgroup; + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + drw_shgroup_init(shgroup, shader); + return shgroup; } -DRWShadingGroup *DRW_shgroup_instance_create( - struct GPUShader *shader, DRWPass *pass, GPUBatch *geom, GPUVertFormat *format) +DRWShadingGroup *DRW_shgroup_instance_create(struct GPUShader *shader, + DRWPass *pass, + GPUBatch *geom, + GPUVertFormat *format) { - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - shgroup->type = DRW_SHG_INSTANCE; - shgroup->instance_geom = geom; - drw_call_calc_orco(NULL, shgroup->instance_orcofac); - drw_shgroup_instance_init(shgroup, shader, geom, format); + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + shgroup->type = DRW_SHG_INSTANCE; + shgroup->instance_geom = geom; + drw_call_calc_orco(NULL, shgroup->instance_orcofac); + drw_shgroup_instance_init(shgroup, shader, geom, format); - return shgroup; + return shgroup; } DRWShadingGroup *DRW_shgroup_point_batch_create(struct GPUShader *shader, DRWPass *pass) { - DRW_shgroup_instance_format(g_pos_format, {{"pos", DRW_ATTR_FLOAT, 3}}); + DRW_shgroup_instance_format(g_pos_format, {{"pos", DRW_ATTR_FLOAT, 3}}); - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - shgroup->type = DRW_SHG_POINT_BATCH; + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + shgroup->type = DRW_SHG_POINT_BATCH; - drw_shgroup_batching_init(shgroup, shader, g_pos_format); + drw_shgroup_batching_init(shgroup, shader, g_pos_format); - return shgroup; + return shgroup; } -DRWShadingGroup *DRW_shgroup_line_batch_create_with_format( - struct GPUShader *shader, DRWPass *pass, GPUVertFormat *format) +DRWShadingGroup *DRW_shgroup_line_batch_create_with_format(struct GPUShader *shader, + DRWPass *pass, + GPUVertFormat *format) { - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - shgroup->type = DRW_SHG_LINE_BATCH; + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + shgroup->type = DRW_SHG_LINE_BATCH; - drw_shgroup_batching_init(shgroup, shader, format); + drw_shgroup_batching_init(shgroup, shader, format); - return shgroup; + return shgroup; } DRWShadingGroup *DRW_shgroup_line_batch_create(struct GPUShader *shader, DRWPass *pass) { - DRW_shgroup_instance_format(g_pos_format, {{"pos", DRW_ATTR_FLOAT, 3}}); + DRW_shgroup_instance_format(g_pos_format, {{"pos", DRW_ATTR_FLOAT, 3}}); - return DRW_shgroup_line_batch_create_with_format(shader, pass, g_pos_format); + return DRW_shgroup_line_batch_create_with_format(shader, pass, g_pos_format); } /** @@ -998,33 +1100,37 @@ DRWShadingGroup *DRW_shgroup_line_batch_create(struct GPUShader *shader, DRWPass * your vertices with the vertex shader * and dont need any VBO attribute. */ -DRWShadingGroup *DRW_shgroup_empty_tri_batch_create(struct GPUShader *shader, DRWPass *pass, int tri_count) +DRWShadingGroup *DRW_shgroup_empty_tri_batch_create(struct GPUShader *shader, + DRWPass *pass, + int tri_count) { #ifdef USE_GPU_SELECT - BLI_assert((G.f & G_FLAG_PICKSEL) == 0); + BLI_assert((G.f & G_FLAG_PICKSEL) == 0); #endif - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - /* Calling drw_shgroup_init will cause it to call GPU_draw_primitive(). */ - drw_shgroup_init(shgroup, shader); + /* Calling drw_shgroup_init will cause it to call GPU_draw_primitive(). */ + drw_shgroup_init(shgroup, shader); - shgroup->type = DRW_SHG_TRIANGLE_BATCH; - shgroup->instance_count = tri_count * 3; + shgroup->type = DRW_SHG_TRIANGLE_BATCH; + shgroup->instance_count = tri_count * 3; - return shgroup; + return shgroup; } -DRWShadingGroup *DRW_shgroup_transform_feedback_create(struct GPUShader *shader, DRWPass *pass, GPUVertBuf *tf_target) +DRWShadingGroup *DRW_shgroup_transform_feedback_create(struct GPUShader *shader, + DRWPass *pass, + GPUVertBuf *tf_target) { - BLI_assert(tf_target != NULL); - DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); - shgroup->type = DRW_SHG_FEEDBACK_TRANSFORM; + BLI_assert(tf_target != NULL); + DRWShadingGroup *shgroup = drw_shgroup_create_ex(shader, pass); + shgroup->type = DRW_SHG_FEEDBACK_TRANSFORM; - drw_shgroup_init(shgroup, shader); + drw_shgroup_init(shgroup, shader); - shgroup->tfeedback_target = tf_target; + shgroup->tfeedback_target = tf_target; - return shgroup; + return shgroup; } /** @@ -1032,27 +1138,27 @@ DRWShadingGroup *DRW_shgroup_transform_feedback_create(struct GPUShader *shader, */ void DRW_shgroup_instance_batch(DRWShadingGroup *shgroup, struct GPUBatch *batch) { - BLI_assert(shgroup->type == DRW_SHG_INSTANCE); - BLI_assert(shgroup->instance_count == 0); - /* You cannot use external instancing batch without a dummy format. */ - BLI_assert(shgroup->attrs_count != 0); + BLI_assert(shgroup->type == DRW_SHG_INSTANCE); + BLI_assert(shgroup->instance_count == 0); + /* You cannot use external instancing batch without a dummy format. */ + BLI_assert(shgroup->attrs_count != 0); - shgroup->type = DRW_SHG_INSTANCE_EXTERNAL; - drw_call_calc_orco(NULL, shgroup->instance_orcofac); - /* PERF : This destroys the vaos cache so better check if it's necessary. */ - /* Note: This WILL break if batch->verts[0] is destroyed and reallocated - * at the same address. Bindings/VAOs would remain obsolete. */ - //if (shgroup->instancing_geom->inst != batch->verts[0]) - GPU_batch_instbuf_set(shgroup->instance_geom, batch->verts[0], false); + shgroup->type = DRW_SHG_INSTANCE_EXTERNAL; + drw_call_calc_orco(NULL, shgroup->instance_orcofac); + /* PERF : This destroys the vaos cache so better check if it's necessary. */ + /* Note: This WILL break if batch->verts[0] is destroyed and reallocated + * at the same address. Bindings/VAOs would remain obsolete. */ + //if (shgroup->instancing_geom->inst != batch->verts[0]) + GPU_batch_instbuf_set(shgroup->instance_geom, batch->verts[0], false); #ifdef USE_GPU_SELECT - shgroup->override_selectid = DST.select_id; + shgroup->override_selectid = DST.select_id; #endif } uint DRW_shgroup_get_instance_count(const DRWShadingGroup *shgroup) { - return shgroup->instance_count; + return shgroup->instance_count; } /** @@ -1061,52 +1167,52 @@ uint DRW_shgroup_get_instance_count(const DRWShadingGroup *shgroup) */ void DRW_shgroup_state_enable(DRWShadingGroup *shgroup, DRWState state) { - shgroup->state_extra |= state; + shgroup->state_extra |= state; } void DRW_shgroup_state_disable(DRWShadingGroup *shgroup, DRWState state) { - shgroup->state_extra_disable &= ~state; + shgroup->state_extra_disable &= ~state; } void DRW_shgroup_stencil_mask(DRWShadingGroup *shgroup, uint mask) { - BLI_assert(mask <= 255); - shgroup->stencil_mask = mask; + BLI_assert(mask <= 255); + shgroup->stencil_mask = mask; } bool DRW_shgroup_is_empty(DRWShadingGroup *shgroup) { - switch (shgroup->type) { - case DRW_SHG_NORMAL: - case DRW_SHG_FEEDBACK_TRANSFORM: - return shgroup->calls.first == NULL; - case DRW_SHG_POINT_BATCH: - case DRW_SHG_LINE_BATCH: - case DRW_SHG_TRIANGLE_BATCH: - case DRW_SHG_INSTANCE: - case DRW_SHG_INSTANCE_EXTERNAL: - return shgroup->instance_count == 0; - } - BLI_assert(!"Shading Group type not supported"); - return true; + switch (shgroup->type) { + case DRW_SHG_NORMAL: + case DRW_SHG_FEEDBACK_TRANSFORM: + return shgroup->calls.first == NULL; + case DRW_SHG_POINT_BATCH: + case DRW_SHG_LINE_BATCH: + case DRW_SHG_TRIANGLE_BATCH: + case DRW_SHG_INSTANCE: + case DRW_SHG_INSTANCE_EXTERNAL: + return shgroup->instance_count == 0; + } + BLI_assert(!"Shading Group type not supported"); + return true; } DRWShadingGroup *DRW_shgroup_create_sub(DRWShadingGroup *shgroup) { - /* Remove this assertion if needed but implement the other cases first! */ - BLI_assert(shgroup->type == DRW_SHG_NORMAL); + /* Remove this assertion if needed but implement the other cases first! */ + BLI_assert(shgroup->type == DRW_SHG_NORMAL); - DRWShadingGroup *shgroup_new = BLI_mempool_alloc(DST.vmempool->shgroups); + DRWShadingGroup *shgroup_new = BLI_mempool_alloc(DST.vmempool->shgroups); - *shgroup_new = *shgroup; - shgroup_new->uniforms = NULL; - shgroup_new->calls.first = NULL; - shgroup_new->calls.last = NULL; + *shgroup_new = *shgroup; + shgroup_new->uniforms = NULL; + shgroup_new->calls.first = NULL; + shgroup_new->calls.last = NULL; - BLI_LINKS_INSERT_AFTER(&shgroup->pass_parent->shgroups, shgroup, shgroup_new); + BLI_LINKS_INSERT_AFTER(&shgroup->pass_parent->shgroups, shgroup, shgroup_new); - return shgroup_new; + return shgroup_new; } /** \} */ @@ -1117,95 +1223,103 @@ DRWShadingGroup *DRW_shgroup_create_sub(DRWShadingGroup *shgroup) DRWPass *DRW_pass_create(const char *name, DRWState state) { - DRWPass *pass = BLI_mempool_alloc(DST.vmempool->passes); - pass->state = state; - if (((G.debug_value > 20) && (G.debug_value < 30)) || - (G.debug & G_DEBUG)) - { - BLI_strncpy(pass->name, name, MAX_PASS_NAME); - } + DRWPass *pass = BLI_mempool_alloc(DST.vmempool->passes); + pass->state = state; + if (((G.debug_value > 20) && (G.debug_value < 30)) || (G.debug & G_DEBUG)) { + BLI_strncpy(pass->name, name, MAX_PASS_NAME); + } - pass->shgroups.first = NULL; - pass->shgroups.last = NULL; + pass->shgroups.first = NULL; + pass->shgroups.last = NULL; - return pass; + return pass; } bool DRW_pass_is_empty(DRWPass *pass) { - for (DRWShadingGroup *shgroup = pass->shgroups.first; shgroup; shgroup = shgroup->next) { - if (!DRW_shgroup_is_empty(shgroup)) { - return false; - } - } - return true; + for (DRWShadingGroup *shgroup = pass->shgroups.first; shgroup; shgroup = shgroup->next) { + if (!DRW_shgroup_is_empty(shgroup)) { + return false; + } + } + return true; } void DRW_pass_state_set(DRWPass *pass, DRWState state) { - pass->state = state; + pass->state = state; } void DRW_pass_state_add(DRWPass *pass, DRWState state) { - pass->state |= state; + pass->state |= state; } void DRW_pass_state_remove(DRWPass *pass, DRWState state) { - pass->state &= ~state; + pass->state &= ~state; } void DRW_pass_free(DRWPass *pass) { - pass->shgroups.first = NULL; - pass->shgroups.last = NULL; + pass->shgroups.first = NULL; + pass->shgroups.last = NULL; } -void DRW_pass_foreach_shgroup(DRWPass *pass, void (*callback)(void *userData, DRWShadingGroup *shgrp), void *userData) +void DRW_pass_foreach_shgroup(DRWPass *pass, + void (*callback)(void *userData, DRWShadingGroup *shgrp), + void *userData) { - for (DRWShadingGroup *shgroup = pass->shgroups.first; shgroup; shgroup = shgroup->next) { - callback(userData, shgroup); - } + for (DRWShadingGroup *shgroup = pass->shgroups.first; shgroup; shgroup = shgroup->next) { + callback(userData, shgroup); + } } typedef struct ZSortData { - float *axis; - float *origin; + float *axis; + float *origin; } ZSortData; static int pass_shgroup_dist_sort(void *thunk, const void *a, const void *b) { - const ZSortData *zsortdata = (ZSortData *)thunk; - const DRWShadingGroup *shgrp_a = (const DRWShadingGroup *)a; - const DRWShadingGroup *shgrp_b = (const DRWShadingGroup *)b; - - const DRWCall *call_a = (DRWCall *)shgrp_a->calls.first; - const DRWCall *call_b = (DRWCall *)shgrp_b->calls.first; - - if (call_a == NULL) { return -1; } - if (call_b == NULL) { return -1; } - - float tmp[3]; - sub_v3_v3v3(tmp, zsortdata->origin, call_a->state->model[3]); - const float a_sq = dot_v3v3(zsortdata->axis, tmp); - sub_v3_v3v3(tmp, zsortdata->origin, call_b->state->model[3]); - const float b_sq = dot_v3v3(zsortdata->axis, tmp); - - if (a_sq < b_sq) { return 1; } - else if (a_sq > b_sq) { return -1; } - else { - /* If there is a depth prepass put it before */ - if ((shgrp_a->state_extra & DRW_STATE_WRITE_DEPTH) != 0) { - return -1; - } - else if ((shgrp_b->state_extra & DRW_STATE_WRITE_DEPTH) != 0) { - return 1; - } - else { - return 0; - } - } + const ZSortData *zsortdata = (ZSortData *)thunk; + const DRWShadingGroup *shgrp_a = (const DRWShadingGroup *)a; + const DRWShadingGroup *shgrp_b = (const DRWShadingGroup *)b; + + const DRWCall *call_a = (DRWCall *)shgrp_a->calls.first; + const DRWCall *call_b = (DRWCall *)shgrp_b->calls.first; + + if (call_a == NULL) { + return -1; + } + if (call_b == NULL) { + return -1; + } + + float tmp[3]; + sub_v3_v3v3(tmp, zsortdata->origin, call_a->state->model[3]); + const float a_sq = dot_v3v3(zsortdata->axis, tmp); + sub_v3_v3v3(tmp, zsortdata->origin, call_b->state->model[3]); + const float b_sq = dot_v3v3(zsortdata->axis, tmp); + + if (a_sq < b_sq) { + return 1; + } + else if (a_sq > b_sq) { + return -1; + } + else { + /* If there is a depth prepass put it before */ + if ((shgrp_a->state_extra & DRW_STATE_WRITE_DEPTH) != 0) { + return -1; + } + else if ((shgrp_b->state_extra & DRW_STATE_WRITE_DEPTH) != 0) { + return 1; + } + else { + return 0; + } + } } /* ------------------ Shading group sorting --------------------- */ @@ -1226,21 +1340,22 @@ static int pass_shgroup_dist_sort(void *thunk, const void *a, const void *b) */ void DRW_pass_sort_shgroup_z(DRWPass *pass) { - float (*viewinv)[4]; - viewinv = DST.view_data.matstate.mat[DRW_MAT_VIEWINV]; + float(*viewinv)[4]; + viewinv = DST.view_data.matstate.mat[DRW_MAT_VIEWINV]; - ZSortData zsortdata = {viewinv[2], viewinv[3]}; + ZSortData zsortdata = {viewinv[2], viewinv[3]}; - if (pass->shgroups.first && pass->shgroups.first->next) { - pass->shgroups.first = shgroup_sort_fn_r(pass->shgroups.first, pass_shgroup_dist_sort, &zsortdata); + if (pass->shgroups.first && pass->shgroups.first->next) { + pass->shgroups.first = shgroup_sort_fn_r( + pass->shgroups.first, pass_shgroup_dist_sort, &zsortdata); - /* Find the next last */ - DRWShadingGroup *last = pass->shgroups.first; - while ((last = last->next)) { - /* Do nothing */ - } - pass->shgroups.last = last; - } + /* Find the next last */ + DRWShadingGroup *last = pass->shgroups.first; + while ((last = last->next)) { + /* Do nothing */ + } + pass->shgroups.last = last; + } } /** \} */ diff --git a/source/blender/draw/intern/draw_manager_exec.c b/source/blender/draw/intern/draw_manager_exec.c index 52c3f773e77..db675ee0210 100644 --- a/source/blender/draw/intern/draw_manager_exec.c +++ b/source/blender/draw/intern/draw_manager_exec.c @@ -38,8 +38,8 @@ #ifdef USE_GPU_SELECT void DRW_select_load_id(uint id) { - BLI_assert(G.f & G_FLAG_PICKSEL); - DST.select_id = id; + BLI_assert(G.f & G_FLAG_PICKSEL); + DST.select_id = id; } #endif @@ -51,349 +51,335 @@ void DRW_select_load_id(uint id) void drw_state_set(DRWState state) { - if (DST.state == state) { - return; - } + if (DST.state == state) { + return; + } #define CHANGED_TO(f) \ - ((DST.state_lock & (f)) ? 0 : \ - (((DST.state & (f)) ? \ - ((state & (f)) ? 0 : -1) : \ - ((state & (f)) ? 1 : 0)))) + ((DST.state_lock & (f)) ? \ + 0 : \ + (((DST.state & (f)) ? ((state & (f)) ? 0 : -1) : ((state & (f)) ? 1 : 0)))) -#define CHANGED_ANY(f) \ - (((DST.state & (f)) != (state & (f))) && \ - ((DST.state_lock & (f)) == 0)) +#define CHANGED_ANY(f) (((DST.state & (f)) != (state & (f))) && ((DST.state_lock & (f)) == 0)) #define CHANGED_ANY_STORE_VAR(f, enabled) \ - (((DST.state & (f)) != (enabled = (state & (f)))) && \ - (((DST.state_lock & (f)) == 0))) - - /* Depth Write */ - { - int test; - if ((test = CHANGED_TO(DRW_STATE_WRITE_DEPTH))) { - if (test == 1) { - glDepthMask(GL_TRUE); - } - else { - glDepthMask(GL_FALSE); - } - } - } - - /* Color Write */ - { - int test; - if ((test = CHANGED_TO(DRW_STATE_WRITE_COLOR))) { - if (test == 1) { - glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); - } - else { - glColorMask(GL_FALSE, GL_FALSE, GL_FALSE, GL_FALSE); - } - } - } - - /* Raster Discard */ - { - if (CHANGED_ANY(DRW_STATE_RASTERIZER_ENABLED)) { - if ((state & DRW_STATE_RASTERIZER_ENABLED) != 0) { - glDisable(GL_RASTERIZER_DISCARD); - } - else { - glEnable(GL_RASTERIZER_DISCARD); - } - } - } - - /* Cull */ - { - DRWState test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_CULL_BACK | DRW_STATE_CULL_FRONT, - test)) - { - if (test) { - glEnable(GL_CULL_FACE); - - if ((state & DRW_STATE_CULL_BACK) != 0) { - glCullFace(GL_BACK); - } - else if ((state & DRW_STATE_CULL_FRONT) != 0) { - glCullFace(GL_FRONT); - } - else { - BLI_assert(0); - } - } - else { - glDisable(GL_CULL_FACE); - } - } - } - - /* Depth Test */ - { - DRWState test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_DEPTH_LESS | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_DEPTH_EQUAL | - DRW_STATE_DEPTH_GREATER | DRW_STATE_DEPTH_GREATER_EQUAL | DRW_STATE_DEPTH_ALWAYS, - test)) - { - if (test) { - glEnable(GL_DEPTH_TEST); - - if (state & DRW_STATE_DEPTH_LESS) { - glDepthFunc(GL_LESS); - } - else if (state & DRW_STATE_DEPTH_LESS_EQUAL) { - glDepthFunc(GL_LEQUAL); - } - else if (state & DRW_STATE_DEPTH_EQUAL) { - glDepthFunc(GL_EQUAL); - } - else if (state & DRW_STATE_DEPTH_GREATER) { - glDepthFunc(GL_GREATER); - } - else if (state & DRW_STATE_DEPTH_GREATER_EQUAL) { - glDepthFunc(GL_GEQUAL); - } - else if (state & DRW_STATE_DEPTH_ALWAYS) { - glDepthFunc(GL_ALWAYS); - } - else { - BLI_assert(0); - } - } - else { - glDisable(GL_DEPTH_TEST); - } - } - } - - /* Wire Width */ - { - int test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_WIRE | DRW_STATE_WIRE_WIDE | DRW_STATE_WIRE_SMOOTH, - test)) - { - if (test & DRW_STATE_WIRE_WIDE) { - GPU_line_width(3.0f); - } - else if (test & DRW_STATE_WIRE_SMOOTH) { - GPU_line_width(2.0f); - GPU_line_smooth(true); - } - else if (test & DRW_STATE_WIRE) { - GPU_line_width(1.0f); - } - else { - GPU_line_width(1.0f); - GPU_line_smooth(false); - } - } - } - - /* Points Size */ - { - int test; - if ((test = CHANGED_TO(DRW_STATE_POINT))) { - if (test == 1) { - GPU_enable_program_point_size(); - glPointSize(5.0f); - } - else { - GPU_disable_program_point_size(); - } - } - } - - /* Blending (all buffer) */ - { - int test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_BLEND | DRW_STATE_BLEND_PREMUL | DRW_STATE_ADDITIVE | - DRW_STATE_MULTIPLY | DRW_STATE_ADDITIVE_FULL | - DRW_STATE_BLEND_OIT, - test)) - { - if (test) { - glEnable(GL_BLEND); - - if ((state & DRW_STATE_BLEND) != 0) { - glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, /* RGB */ - GL_ONE, GL_ONE_MINUS_SRC_ALPHA); /* Alpha */ - } - else if ((state & DRW_STATE_BLEND_PREMUL) != 0) { - glBlendFunc(GL_ONE, GL_ONE_MINUS_SRC_ALPHA); - } - else if ((state & DRW_STATE_MULTIPLY) != 0) { - glBlendFunc(GL_DST_COLOR, GL_ZERO); - } - else if ((state & DRW_STATE_BLEND_OIT) != 0) { - glBlendFuncSeparate(GL_ONE, GL_ONE, /* RGB */ - GL_ZERO, GL_ONE_MINUS_SRC_ALPHA); /* Alpha */ - } - else if ((state & DRW_STATE_ADDITIVE) != 0) { - /* Do not let alpha accumulate but premult the source RGB by it. */ - glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE, /* RGB */ - GL_ZERO, GL_ONE); /* Alpha */ - } - else if ((state & DRW_STATE_ADDITIVE_FULL) != 0) { - /* Let alpha accumulate. */ - glBlendFunc(GL_ONE, GL_ONE); - } - else { - BLI_assert(0); - } - } - else { - glDisable(GL_BLEND); - glBlendFunc(GL_ONE, GL_ONE); /* Don't multiply incoming color by alpha. */ - } - } - } - - /* Clip Planes */ - { - int test; - if ((test = CHANGED_TO(DRW_STATE_CLIP_PLANES))) { - if (test == 1) { - for (int i = 0; i < DST.clip_planes_len; ++i) { - glEnable(GL_CLIP_DISTANCE0 + i); - } - } - else { - for (int i = 0; i < MAX_CLIP_PLANES; ++i) { - glDisable(GL_CLIP_DISTANCE0 + i); - } - } - } - } - - /* Stencil */ - { - DRWState test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_WRITE_STENCIL | - DRW_STATE_WRITE_STENCIL_SHADOW_PASS | - DRW_STATE_WRITE_STENCIL_SHADOW_FAIL | - DRW_STATE_STENCIL_EQUAL | - DRW_STATE_STENCIL_NEQUAL, - test)) - { - if (test) { - glEnable(GL_STENCIL_TEST); - /* Stencil Write */ - if ((state & DRW_STATE_WRITE_STENCIL) != 0) { - glStencilMask(0xFF); - glStencilOp(GL_KEEP, GL_KEEP, GL_REPLACE); - } - else if ((state & DRW_STATE_WRITE_STENCIL_SHADOW_PASS) != 0) { - glStencilMask(0xFF); - glStencilOpSeparate(GL_BACK, GL_KEEP, GL_KEEP, GL_INCR_WRAP); - glStencilOpSeparate(GL_FRONT, GL_KEEP, GL_KEEP, GL_DECR_WRAP); - } - else if ((state & DRW_STATE_WRITE_STENCIL_SHADOW_FAIL) != 0) { - glStencilMask(0xFF); - glStencilOpSeparate(GL_BACK, GL_KEEP, GL_DECR_WRAP, GL_KEEP); - glStencilOpSeparate(GL_FRONT, GL_KEEP, GL_INCR_WRAP, GL_KEEP); - } - /* Stencil Test */ - else if ((state & (DRW_STATE_STENCIL_EQUAL | DRW_STATE_STENCIL_NEQUAL)) != 0) { - glStencilMask(0x00); /* disable write */ - DST.stencil_mask = STENCIL_UNDEFINED; - } - else { - BLI_assert(0); - } - } - else { - /* disable write & test */ - DST.stencil_mask = 0; - glStencilMask(0x00); - glStencilFunc(GL_ALWAYS, 0, 0xFF); - glDisable(GL_STENCIL_TEST); - } - } - } - - /* Provoking Vertex */ - { - int test; - if ((test = CHANGED_TO(DRW_STATE_FIRST_VERTEX_CONVENTION))) { - if (test == 1) { - glProvokingVertex(GL_FIRST_VERTEX_CONVENTION); - } - else { - glProvokingVertex(GL_LAST_VERTEX_CONVENTION); - } - } - } - - /* Polygon Offset */ - { - int test; - if (CHANGED_ANY_STORE_VAR( - DRW_STATE_OFFSET_POSITIVE | - DRW_STATE_OFFSET_NEGATIVE, - test)) - { - if (test) { - glEnable(GL_POLYGON_OFFSET_FILL); - glEnable(GL_POLYGON_OFFSET_LINE); - glEnable(GL_POLYGON_OFFSET_POINT); - /* Stencil Write */ - if ((state & DRW_STATE_OFFSET_POSITIVE) != 0) { - glPolygonOffset(1.0f, 1.0f); - } - else if ((state & DRW_STATE_OFFSET_NEGATIVE) != 0) { - glPolygonOffset(-1.0f, -1.0f); - } - else { - BLI_assert(0); - } - } - else { - glDisable(GL_POLYGON_OFFSET_FILL); - glDisable(GL_POLYGON_OFFSET_LINE); - glDisable(GL_POLYGON_OFFSET_POINT); - } - } - } + (((DST.state & (f)) != (enabled = (state & (f)))) && (((DST.state_lock & (f)) == 0))) + + /* Depth Write */ + { + int test; + if ((test = CHANGED_TO(DRW_STATE_WRITE_DEPTH))) { + if (test == 1) { + glDepthMask(GL_TRUE); + } + else { + glDepthMask(GL_FALSE); + } + } + } + + /* Color Write */ + { + int test; + if ((test = CHANGED_TO(DRW_STATE_WRITE_COLOR))) { + if (test == 1) { + glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); + } + else { + glColorMask(GL_FALSE, GL_FALSE, GL_FALSE, GL_FALSE); + } + } + } + + /* Raster Discard */ + { + if (CHANGED_ANY(DRW_STATE_RASTERIZER_ENABLED)) { + if ((state & DRW_STATE_RASTERIZER_ENABLED) != 0) { + glDisable(GL_RASTERIZER_DISCARD); + } + else { + glEnable(GL_RASTERIZER_DISCARD); + } + } + } + + /* Cull */ + { + DRWState test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_CULL_BACK | DRW_STATE_CULL_FRONT, test)) { + if (test) { + glEnable(GL_CULL_FACE); + + if ((state & DRW_STATE_CULL_BACK) != 0) { + glCullFace(GL_BACK); + } + else if ((state & DRW_STATE_CULL_FRONT) != 0) { + glCullFace(GL_FRONT); + } + else { + BLI_assert(0); + } + } + else { + glDisable(GL_CULL_FACE); + } + } + } + + /* Depth Test */ + { + DRWState test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_DEPTH_LESS | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_DEPTH_EQUAL | DRW_STATE_DEPTH_GREATER | + DRW_STATE_DEPTH_GREATER_EQUAL | DRW_STATE_DEPTH_ALWAYS, + test)) { + if (test) { + glEnable(GL_DEPTH_TEST); + + if (state & DRW_STATE_DEPTH_LESS) { + glDepthFunc(GL_LESS); + } + else if (state & DRW_STATE_DEPTH_LESS_EQUAL) { + glDepthFunc(GL_LEQUAL); + } + else if (state & DRW_STATE_DEPTH_EQUAL) { + glDepthFunc(GL_EQUAL); + } + else if (state & DRW_STATE_DEPTH_GREATER) { + glDepthFunc(GL_GREATER); + } + else if (state & DRW_STATE_DEPTH_GREATER_EQUAL) { + glDepthFunc(GL_GEQUAL); + } + else if (state & DRW_STATE_DEPTH_ALWAYS) { + glDepthFunc(GL_ALWAYS); + } + else { + BLI_assert(0); + } + } + else { + glDisable(GL_DEPTH_TEST); + } + } + } + + /* Wire Width */ + { + int test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_WIRE | DRW_STATE_WIRE_WIDE | DRW_STATE_WIRE_SMOOTH, + test)) { + if (test & DRW_STATE_WIRE_WIDE) { + GPU_line_width(3.0f); + } + else if (test & DRW_STATE_WIRE_SMOOTH) { + GPU_line_width(2.0f); + GPU_line_smooth(true); + } + else if (test & DRW_STATE_WIRE) { + GPU_line_width(1.0f); + } + else { + GPU_line_width(1.0f); + GPU_line_smooth(false); + } + } + } + + /* Points Size */ + { + int test; + if ((test = CHANGED_TO(DRW_STATE_POINT))) { + if (test == 1) { + GPU_enable_program_point_size(); + glPointSize(5.0f); + } + else { + GPU_disable_program_point_size(); + } + } + } + + /* Blending (all buffer) */ + { + int test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_BLEND | DRW_STATE_BLEND_PREMUL | DRW_STATE_ADDITIVE | + DRW_STATE_MULTIPLY | DRW_STATE_ADDITIVE_FULL | + DRW_STATE_BLEND_OIT, + test)) { + if (test) { + glEnable(GL_BLEND); + + if ((state & DRW_STATE_BLEND) != 0) { + glBlendFuncSeparate(GL_SRC_ALPHA, + GL_ONE_MINUS_SRC_ALPHA, /* RGB */ + GL_ONE, + GL_ONE_MINUS_SRC_ALPHA); /* Alpha */ + } + else if ((state & DRW_STATE_BLEND_PREMUL) != 0) { + glBlendFunc(GL_ONE, GL_ONE_MINUS_SRC_ALPHA); + } + else if ((state & DRW_STATE_MULTIPLY) != 0) { + glBlendFunc(GL_DST_COLOR, GL_ZERO); + } + else if ((state & DRW_STATE_BLEND_OIT) != 0) { + glBlendFuncSeparate(GL_ONE, + GL_ONE, /* RGB */ + GL_ZERO, + GL_ONE_MINUS_SRC_ALPHA); /* Alpha */ + } + else if ((state & DRW_STATE_ADDITIVE) != 0) { + /* Do not let alpha accumulate but premult the source RGB by it. */ + glBlendFuncSeparate(GL_SRC_ALPHA, + GL_ONE, /* RGB */ + GL_ZERO, + GL_ONE); /* Alpha */ + } + else if ((state & DRW_STATE_ADDITIVE_FULL) != 0) { + /* Let alpha accumulate. */ + glBlendFunc(GL_ONE, GL_ONE); + } + else { + BLI_assert(0); + } + } + else { + glDisable(GL_BLEND); + glBlendFunc(GL_ONE, GL_ONE); /* Don't multiply incoming color by alpha. */ + } + } + } + + /* Clip Planes */ + { + int test; + if ((test = CHANGED_TO(DRW_STATE_CLIP_PLANES))) { + if (test == 1) { + for (int i = 0; i < DST.clip_planes_len; ++i) { + glEnable(GL_CLIP_DISTANCE0 + i); + } + } + else { + for (int i = 0; i < MAX_CLIP_PLANES; ++i) { + glDisable(GL_CLIP_DISTANCE0 + i); + } + } + } + } + + /* Stencil */ + { + DRWState test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_WRITE_STENCIL | DRW_STATE_WRITE_STENCIL_SHADOW_PASS | + DRW_STATE_WRITE_STENCIL_SHADOW_FAIL | DRW_STATE_STENCIL_EQUAL | + DRW_STATE_STENCIL_NEQUAL, + test)) { + if (test) { + glEnable(GL_STENCIL_TEST); + /* Stencil Write */ + if ((state & DRW_STATE_WRITE_STENCIL) != 0) { + glStencilMask(0xFF); + glStencilOp(GL_KEEP, GL_KEEP, GL_REPLACE); + } + else if ((state & DRW_STATE_WRITE_STENCIL_SHADOW_PASS) != 0) { + glStencilMask(0xFF); + glStencilOpSeparate(GL_BACK, GL_KEEP, GL_KEEP, GL_INCR_WRAP); + glStencilOpSeparate(GL_FRONT, GL_KEEP, GL_KEEP, GL_DECR_WRAP); + } + else if ((state & DRW_STATE_WRITE_STENCIL_SHADOW_FAIL) != 0) { + glStencilMask(0xFF); + glStencilOpSeparate(GL_BACK, GL_KEEP, GL_DECR_WRAP, GL_KEEP); + glStencilOpSeparate(GL_FRONT, GL_KEEP, GL_INCR_WRAP, GL_KEEP); + } + /* Stencil Test */ + else if ((state & (DRW_STATE_STENCIL_EQUAL | DRW_STATE_STENCIL_NEQUAL)) != 0) { + glStencilMask(0x00); /* disable write */ + DST.stencil_mask = STENCIL_UNDEFINED; + } + else { + BLI_assert(0); + } + } + else { + /* disable write & test */ + DST.stencil_mask = 0; + glStencilMask(0x00); + glStencilFunc(GL_ALWAYS, 0, 0xFF); + glDisable(GL_STENCIL_TEST); + } + } + } + + /* Provoking Vertex */ + { + int test; + if ((test = CHANGED_TO(DRW_STATE_FIRST_VERTEX_CONVENTION))) { + if (test == 1) { + glProvokingVertex(GL_FIRST_VERTEX_CONVENTION); + } + else { + glProvokingVertex(GL_LAST_VERTEX_CONVENTION); + } + } + } + + /* Polygon Offset */ + { + int test; + if (CHANGED_ANY_STORE_VAR(DRW_STATE_OFFSET_POSITIVE | DRW_STATE_OFFSET_NEGATIVE, test)) { + if (test) { + glEnable(GL_POLYGON_OFFSET_FILL); + glEnable(GL_POLYGON_OFFSET_LINE); + glEnable(GL_POLYGON_OFFSET_POINT); + /* Stencil Write */ + if ((state & DRW_STATE_OFFSET_POSITIVE) != 0) { + glPolygonOffset(1.0f, 1.0f); + } + else if ((state & DRW_STATE_OFFSET_NEGATIVE) != 0) { + glPolygonOffset(-1.0f, -1.0f); + } + else { + BLI_assert(0); + } + } + else { + glDisable(GL_POLYGON_OFFSET_FILL); + glDisable(GL_POLYGON_OFFSET_LINE); + glDisable(GL_POLYGON_OFFSET_POINT); + } + } + } #undef CHANGED_TO #undef CHANGED_ANY #undef CHANGED_ANY_STORE_VAR - DST.state = state; + DST.state = state; } static void drw_stencil_set(uint mask) { - if (DST.stencil_mask != mask) { - DST.stencil_mask = mask; - /* Stencil Write */ - if ((DST.state & DRW_STATE_WRITE_STENCIL) != 0) { - glStencilFunc(GL_ALWAYS, mask, 0xFF); - } - /* Stencil Test */ - else if ((DST.state & DRW_STATE_STENCIL_EQUAL) != 0) { - glStencilFunc(GL_EQUAL, mask, 0xFF); - } - else if ((DST.state & DRW_STATE_STENCIL_NEQUAL) != 0) { - glStencilFunc(GL_NOTEQUAL, mask, 0xFF); - } - } + if (DST.stencil_mask != mask) { + DST.stencil_mask = mask; + /* Stencil Write */ + if ((DST.state & DRW_STATE_WRITE_STENCIL) != 0) { + glStencilFunc(GL_ALWAYS, mask, 0xFF); + } + /* Stencil Test */ + else if ((DST.state & DRW_STATE_STENCIL_EQUAL) != 0) { + glStencilFunc(GL_EQUAL, mask, 0xFF); + } + else if ((DST.state & DRW_STATE_STENCIL_NEQUAL) != 0) { + glStencilFunc(GL_NOTEQUAL, mask, 0xFF); + } + } } /* Reset state to not interfer with other UI drawcall */ void DRW_state_reset_ex(DRWState state) { - DST.state = ~state; - drw_state_set(state); + DST.state = ~state; + drw_state_set(state); } /** @@ -404,22 +390,22 @@ void DRW_state_reset_ex(DRWState state) */ void DRW_state_lock(DRWState state) { - DST.state_lock = state; + DST.state_lock = state; } void DRW_state_reset(void) { - DRW_state_reset_ex(DRW_STATE_DEFAULT); + DRW_state_reset_ex(DRW_STATE_DEFAULT); - /* Reset blending function */ - glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, GL_ONE, GL_ONE_MINUS_SRC_ALPHA); + /* Reset blending function */ + glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, GL_ONE, GL_ONE_MINUS_SRC_ALPHA); } /* NOTE : Make sure to reset after use! */ void DRW_state_invert_facing(void) { - SWAP(GLenum, DST.backface, DST.frontface); - glFrontFace(DST.frontface); + SWAP(GLenum, DST.backface, DST.frontface); + glFrontFace(DST.frontface); } /** @@ -429,26 +415,26 @@ void DRW_state_invert_facing(void) */ void DRW_state_clip_planes_len_set(uint plane_len) { - BLI_assert(plane_len <= MAX_CLIP_PLANES); - DST.clip_planes_len = plane_len; + BLI_assert(plane_len <= MAX_CLIP_PLANES); + DST.clip_planes_len = plane_len; } void DRW_state_clip_planes_reset(void) { - DST.clip_planes_len = 0; + DST.clip_planes_len = 0; } void DRW_state_clip_planes_set_from_rv3d(RegionView3D *rv3d) { - int max_len = 6; - int real_len = (rv3d->viewlock & RV3D_BOXCLIP) ? 4 : max_len; - while (real_len < max_len) { - /* Fill in dummy values that wont change results (6 is hard coded in shaders). */ - copy_v4_v4(rv3d->clip[real_len], rv3d->clip[3]); - real_len++; - } - - DRW_state_clip_planes_len_set(max_len); + int max_len = 6; + int real_len = (rv3d->viewlock & RV3D_BOXCLIP) ? 4 : max_len; + while (real_len < max_len) { + /* Fill in dummy values that wont change results (6 is hard coded in shaders). */ + copy_v4_v4(rv3d->clip[real_len], rv3d->clip[3]); + real_len++; + } + + DRW_state_clip_planes_len_set(max_len); } /** \} */ @@ -462,284 +448,309 @@ void DRW_state_clip_planes_set_from_rv3d(RegionView3D *rv3d) * BKE_boundbox_init_from_minmax(&bbox, (const float[3]){-1.0f, -1.0f, -1.0f}, (const float[3]){1.0f, 1.0f, 1.0f}); * for (int i = 0; i < 8; i++) {mul_project_m4_v3(projinv, bbox.vec[i]);} */ -static void draw_frustum_boundbox_calc(const float(*projmat)[4], BoundBox *r_bbox) +static void draw_frustum_boundbox_calc(const float (*projmat)[4], BoundBox *r_bbox) { - float left, right, bottom, top, near, far; - bool is_persp = projmat[3][3] == 0.0f; - - projmat_dimensions( - projmat, &left, &right, &bottom, &top, &near, &far); - - if (is_persp) { - left *= near; - right *= near; - bottom *= near; - top *= near; - } - - r_bbox->vec[0][2] = r_bbox->vec[3][2] = r_bbox->vec[7][2] = r_bbox->vec[4][2] = -near; - r_bbox->vec[0][0] = r_bbox->vec[3][0] = left; - r_bbox->vec[4][0] = r_bbox->vec[7][0] = right; - r_bbox->vec[0][1] = r_bbox->vec[4][1] = bottom; - r_bbox->vec[7][1] = r_bbox->vec[3][1] = top; - - /* Get the coordinates of the far plane. */ - if (is_persp) { - float sca_far = far / near; - left *= sca_far; - right *= sca_far; - bottom *= sca_far; - top *= sca_far; - } - - r_bbox->vec[1][2] = r_bbox->vec[2][2] = r_bbox->vec[6][2] = r_bbox->vec[5][2] = -far; - r_bbox->vec[1][0] = r_bbox->vec[2][0] = left; - r_bbox->vec[6][0] = r_bbox->vec[5][0] = right; - r_bbox->vec[1][1] = r_bbox->vec[5][1] = bottom; - r_bbox->vec[2][1] = r_bbox->vec[6][1] = top; + float left, right, bottom, top, near, far; + bool is_persp = projmat[3][3] == 0.0f; + + projmat_dimensions(projmat, &left, &right, &bottom, &top, &near, &far); + + if (is_persp) { + left *= near; + right *= near; + bottom *= near; + top *= near; + } + + r_bbox->vec[0][2] = r_bbox->vec[3][2] = r_bbox->vec[7][2] = r_bbox->vec[4][2] = -near; + r_bbox->vec[0][0] = r_bbox->vec[3][0] = left; + r_bbox->vec[4][0] = r_bbox->vec[7][0] = right; + r_bbox->vec[0][1] = r_bbox->vec[4][1] = bottom; + r_bbox->vec[7][1] = r_bbox->vec[3][1] = top; + + /* Get the coordinates of the far plane. */ + if (is_persp) { + float sca_far = far / near; + left *= sca_far; + right *= sca_far; + bottom *= sca_far; + top *= sca_far; + } + + r_bbox->vec[1][2] = r_bbox->vec[2][2] = r_bbox->vec[6][2] = r_bbox->vec[5][2] = -far; + r_bbox->vec[1][0] = r_bbox->vec[2][0] = left; + r_bbox->vec[6][0] = r_bbox->vec[5][0] = right; + r_bbox->vec[1][1] = r_bbox->vec[5][1] = bottom; + r_bbox->vec[2][1] = r_bbox->vec[6][1] = top; } static void draw_clipping_setup_from_view(void) { - if (DST.clipping.updated) { - return; - } + if (DST.clipping.updated) { + return; + } - float (*viewinv)[4] = DST.view_data.matstate.mat[DRW_MAT_VIEWINV]; - float (*projmat)[4] = DST.view_data.matstate.mat[DRW_MAT_WIN]; - float (*projinv)[4] = DST.view_data.matstate.mat[DRW_MAT_WININV]; - BoundSphere *bsphere = &DST.clipping.frustum_bsphere; + float(*viewinv)[4] = DST.view_data.matstate.mat[DRW_MAT_VIEWINV]; + float(*projmat)[4] = DST.view_data.matstate.mat[DRW_MAT_WIN]; + float(*projinv)[4] = DST.view_data.matstate.mat[DRW_MAT_WININV]; + BoundSphere *bsphere = &DST.clipping.frustum_bsphere; - /* Extract Clipping Planes */ - BoundBox bbox; + /* Extract Clipping Planes */ + BoundBox bbox; #if 0 /* It has accuracy problems. */ - BKE_boundbox_init_from_minmax(&bbox, (const float[3]){-1.0f, -1.0f, -1.0f}, (const float[3]){1.0f, 1.0f, 1.0f}); - for (int i = 0; i < 8; i++) { - mul_project_m4_v3(projinv, bbox.vec[i]); - } + BKE_boundbox_init_from_minmax(&bbox, (const float[3]){-1.0f, -1.0f, -1.0f}, (const float[3]){1.0f, 1.0f, 1.0f}); + for (int i = 0; i < 8; i++) { + mul_project_m4_v3(projinv, bbox.vec[i]); + } #else - draw_frustum_boundbox_calc(projmat, &bbox); + draw_frustum_boundbox_calc(projmat, &bbox); #endif - /* Transform into world space. */ - for (int i = 0; i < 8; i++) { - mul_m4_v3(viewinv, bbox.vec[i]); - } - - memcpy(&DST.clipping.frustum_corners, &bbox, sizeof(BoundBox)); - - /* Compute clip planes using the world space frustum corners. */ - for (int p = 0; p < 6; p++) { - int q, r, s; - switch (p) { - case 0: q = 1; r = 2; s = 3; break; /* -X */ - case 1: q = 0; r = 4; s = 5; break; /* -Y */ - case 2: q = 1; r = 5; s = 6; break; /* +Z (far) */ - case 3: q = 2; r = 6; s = 7; break; /* +Y */ - case 4: q = 0; r = 3; s = 7; break; /* -Z (near) */ - default: q = 4; r = 7; s = 6; break; /* +X */ - } - if (DST.frontface == GL_CW) { - SWAP(int, q, s); - } - - normal_quad_v3(DST.clipping.frustum_planes[p], bbox.vec[p], bbox.vec[q], bbox.vec[r], bbox.vec[s]); - /* Increase precision and use the mean of all 4 corners. */ - DST.clipping.frustum_planes[p][3] = -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[p]); - DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[q]); - DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[r]); - DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[s]); - DST.clipping.frustum_planes[p][3] *= 0.25f; - } - - /* Extract Bounding Sphere */ - if (projmat[3][3] != 0.0f) { - /* Orthographic */ - /* The most extreme points on the near and far plane. (normalized device coords). */ - float *nearpoint = bbox.vec[0]; - float *farpoint = bbox.vec[6]; - - /* just use median point */ - mid_v3_v3v3(bsphere->center, farpoint, nearpoint); - bsphere->radius = len_v3v3(bsphere->center, farpoint); - } - else if (projmat[2][0] == 0.0f && projmat[2][1] == 0.0f) { - /* Perspective with symmetrical frustum. */ - - /* We obtain the center and radius of the circumscribed circle of the - * isosceles trapezoid composed by the diagonals of the near and far clipping plane */ - - /* center of each clipping plane */ - float mid_min[3], mid_max[3]; - mid_v3_v3v3(mid_min, bbox.vec[3], bbox.vec[4]); - mid_v3_v3v3(mid_max, bbox.vec[2], bbox.vec[5]); - - /* square length of the diagonals of each clipping plane */ - float a_sq = len_squared_v3v3(bbox.vec[3], bbox.vec[4]); - float b_sq = len_squared_v3v3(bbox.vec[2], bbox.vec[5]); - - /* distance squared between clipping planes */ - float h_sq = len_squared_v3v3(mid_min, mid_max); - - float fac = (4 * h_sq + b_sq - a_sq) / (8 * h_sq); - - /* The goal is to get the smallest sphere, - * not the sphere that passes through each corner */ - CLAMP(fac, 0.0f, 1.0f); - - interp_v3_v3v3(bsphere->center, mid_min, mid_max, fac); - - /* distance from the center to one of the points of the far plane (1, 2, 5, 6) */ - bsphere->radius = len_v3v3(bsphere->center, bbox.vec[1]); - } - else { - /* Perspective with asymmetrical frustum. */ - - /* We put the sphere center on the line that goes from origin - * to the center of the far clipping plane. */ - - /* Detect which of the corner of the far clipping plane is the farthest to the origin */ - float nfar[4]; /* most extreme far point in NDC space */ - float farxy[2]; /* farpoint projection onto the near plane */ - float farpoint[3] = {0.0f}; /* most extreme far point in camera coordinate */ - float nearpoint[3]; /* most extreme near point in camera coordinate */ - float farcenter[3] = {0.0f}; /* center of far cliping plane in camera coordinate */ - float F = -1.0f, N; /* square distance of far and near point to origin */ - float f, n; /* distance of far and near point to z axis. f is always > 0 but n can be < 0 */ - float e, s; /* far and near clipping distance (<0) */ - float c; /* slope of center line = distance of far clipping center to z axis / far clipping distance */ - float z; /* projection of sphere center on z axis (<0) */ - - /* Find farthest corner and center of far clip plane. */ - float corner[3] = {1.0f, 1.0f, 1.0f}; /* in clip space */ - for (int i = 0; i < 4; i++) { - float point[3]; - mul_v3_project_m4_v3(point, projinv, corner); - float len = len_squared_v3(point); - if (len > F) { - copy_v3_v3(nfar, corner); - copy_v3_v3(farpoint, point); - F = len; - } - add_v3_v3(farcenter, point); - /* rotate by 90 degree to walk through the 4 points of the far clip plane */ - float tmp = corner[0]; - corner[0] = -corner[1]; - corner[1] = tmp; - } - - /* the far center is the average of the far clipping points */ - mul_v3_fl(farcenter, 0.25f); - /* the extreme near point is the opposite point on the near clipping plane */ - copy_v3_fl3(nfar, -nfar[0], -nfar[1], -1.0f); - mul_v3_project_m4_v3(nearpoint, projinv, nfar); - /* this is a frustum projection */ - N = len_squared_v3(nearpoint); - e = farpoint[2]; - s = nearpoint[2]; - /* distance to view Z axis */ - f = len_v2(farpoint); - /* get corresponding point on the near plane */ - mul_v2_v2fl(farxy, farpoint, s / e); - /* this formula preserve the sign of n */ - sub_v2_v2(nearpoint, farxy); - n = f * s / e - len_v2(nearpoint); - c = len_v2(farcenter) / e; - /* the big formula, it simplifies to (F-N)/(2(e-s)) for the symmetric case */ - z = (F - N) / (2.0f * (e - s + c * (f - n))); - - bsphere->center[0] = farcenter[0] * z / e; - bsphere->center[1] = farcenter[1] * z / e; - bsphere->center[2] = z; - bsphere->radius = len_v3v3(bsphere->center, farpoint); - - /* Transform to world space. */ - mul_m4_v3(viewinv, bsphere->center); - } - - DST.clipping.updated = true; + /* Transform into world space. */ + for (int i = 0; i < 8; i++) { + mul_m4_v3(viewinv, bbox.vec[i]); + } + + memcpy(&DST.clipping.frustum_corners, &bbox, sizeof(BoundBox)); + + /* Compute clip planes using the world space frustum corners. */ + for (int p = 0; p < 6; p++) { + int q, r, s; + switch (p) { + case 0: + q = 1; + r = 2; + s = 3; + break; /* -X */ + case 1: + q = 0; + r = 4; + s = 5; + break; /* -Y */ + case 2: + q = 1; + r = 5; + s = 6; + break; /* +Z (far) */ + case 3: + q = 2; + r = 6; + s = 7; + break; /* +Y */ + case 4: + q = 0; + r = 3; + s = 7; + break; /* -Z (near) */ + default: + q = 4; + r = 7; + s = 6; + break; /* +X */ + } + if (DST.frontface == GL_CW) { + SWAP(int, q, s); + } + + normal_quad_v3( + DST.clipping.frustum_planes[p], bbox.vec[p], bbox.vec[q], bbox.vec[r], bbox.vec[s]); + /* Increase precision and use the mean of all 4 corners. */ + DST.clipping.frustum_planes[p][3] = -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[p]); + DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[q]); + DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[r]); + DST.clipping.frustum_planes[p][3] += -dot_v3v3(DST.clipping.frustum_planes[p], bbox.vec[s]); + DST.clipping.frustum_planes[p][3] *= 0.25f; + } + + /* Extract Bounding Sphere */ + if (projmat[3][3] != 0.0f) { + /* Orthographic */ + /* The most extreme points on the near and far plane. (normalized device coords). */ + float *nearpoint = bbox.vec[0]; + float *farpoint = bbox.vec[6]; + + /* just use median point */ + mid_v3_v3v3(bsphere->center, farpoint, nearpoint); + bsphere->radius = len_v3v3(bsphere->center, farpoint); + } + else if (projmat[2][0] == 0.0f && projmat[2][1] == 0.0f) { + /* Perspective with symmetrical frustum. */ + + /* We obtain the center and radius of the circumscribed circle of the + * isosceles trapezoid composed by the diagonals of the near and far clipping plane */ + + /* center of each clipping plane */ + float mid_min[3], mid_max[3]; + mid_v3_v3v3(mid_min, bbox.vec[3], bbox.vec[4]); + mid_v3_v3v3(mid_max, bbox.vec[2], bbox.vec[5]); + + /* square length of the diagonals of each clipping plane */ + float a_sq = len_squared_v3v3(bbox.vec[3], bbox.vec[4]); + float b_sq = len_squared_v3v3(bbox.vec[2], bbox.vec[5]); + + /* distance squared between clipping planes */ + float h_sq = len_squared_v3v3(mid_min, mid_max); + + float fac = (4 * h_sq + b_sq - a_sq) / (8 * h_sq); + + /* The goal is to get the smallest sphere, + * not the sphere that passes through each corner */ + CLAMP(fac, 0.0f, 1.0f); + + interp_v3_v3v3(bsphere->center, mid_min, mid_max, fac); + + /* distance from the center to one of the points of the far plane (1, 2, 5, 6) */ + bsphere->radius = len_v3v3(bsphere->center, bbox.vec[1]); + } + else { + /* Perspective with asymmetrical frustum. */ + + /* We put the sphere center on the line that goes from origin + * to the center of the far clipping plane. */ + + /* Detect which of the corner of the far clipping plane is the farthest to the origin */ + float nfar[4]; /* most extreme far point in NDC space */ + float farxy[2]; /* farpoint projection onto the near plane */ + float farpoint[3] = {0.0f}; /* most extreme far point in camera coordinate */ + float nearpoint[3]; /* most extreme near point in camera coordinate */ + float farcenter[3] = {0.0f}; /* center of far cliping plane in camera coordinate */ + float F = -1.0f, N; /* square distance of far and near point to origin */ + float f, n; /* distance of far and near point to z axis. f is always > 0 but n can be < 0 */ + float e, s; /* far and near clipping distance (<0) */ + float + c; /* slope of center line = distance of far clipping center to z axis / far clipping distance */ + float z; /* projection of sphere center on z axis (<0) */ + + /* Find farthest corner and center of far clip plane. */ + float corner[3] = {1.0f, 1.0f, 1.0f}; /* in clip space */ + for (int i = 0; i < 4; i++) { + float point[3]; + mul_v3_project_m4_v3(point, projinv, corner); + float len = len_squared_v3(point); + if (len > F) { + copy_v3_v3(nfar, corner); + copy_v3_v3(farpoint, point); + F = len; + } + add_v3_v3(farcenter, point); + /* rotate by 90 degree to walk through the 4 points of the far clip plane */ + float tmp = corner[0]; + corner[0] = -corner[1]; + corner[1] = tmp; + } + + /* the far center is the average of the far clipping points */ + mul_v3_fl(farcenter, 0.25f); + /* the extreme near point is the opposite point on the near clipping plane */ + copy_v3_fl3(nfar, -nfar[0], -nfar[1], -1.0f); + mul_v3_project_m4_v3(nearpoint, projinv, nfar); + /* this is a frustum projection */ + N = len_squared_v3(nearpoint); + e = farpoint[2]; + s = nearpoint[2]; + /* distance to view Z axis */ + f = len_v2(farpoint); + /* get corresponding point on the near plane */ + mul_v2_v2fl(farxy, farpoint, s / e); + /* this formula preserve the sign of n */ + sub_v2_v2(nearpoint, farxy); + n = f * s / e - len_v2(nearpoint); + c = len_v2(farcenter) / e; + /* the big formula, it simplifies to (F-N)/(2(e-s)) for the symmetric case */ + z = (F - N) / (2.0f * (e - s + c * (f - n))); + + bsphere->center[0] = farcenter[0] * z / e; + bsphere->center[1] = farcenter[1] * z / e; + bsphere->center[2] = z; + bsphere->radius = len_v3v3(bsphere->center, farpoint); + + /* Transform to world space. */ + mul_m4_v3(viewinv, bsphere->center); + } + + DST.clipping.updated = true; } /* Return True if the given BoundSphere intersect the current view frustum */ bool DRW_culling_sphere_test(BoundSphere *bsphere) { - draw_clipping_setup_from_view(); - - /* Bypass test if radius is negative. */ - if (bsphere->radius < 0.0f) { - return true; - } - - /* Do a rough test first: Sphere VS Sphere intersect. */ - BoundSphere *frustum_bsphere = &DST.clipping.frustum_bsphere; - float center_dist = len_squared_v3v3(bsphere->center, frustum_bsphere->center); - if (center_dist > SQUARE(bsphere->radius + frustum_bsphere->radius)) { - return false; - } - - /* Test against the 6 frustum planes. */ - for (int p = 0; p < 6; p++) { - float dist = plane_point_side_v3(DST.clipping.frustum_planes[p], bsphere->center); - if (dist < -bsphere->radius) { - return false; - } - } - - return true; + draw_clipping_setup_from_view(); + + /* Bypass test if radius is negative. */ + if (bsphere->radius < 0.0f) { + return true; + } + + /* Do a rough test first: Sphere VS Sphere intersect. */ + BoundSphere *frustum_bsphere = &DST.clipping.frustum_bsphere; + float center_dist = len_squared_v3v3(bsphere->center, frustum_bsphere->center); + if (center_dist > SQUARE(bsphere->radius + frustum_bsphere->radius)) { + return false; + } + + /* Test against the 6 frustum planes. */ + for (int p = 0; p < 6; p++) { + float dist = plane_point_side_v3(DST.clipping.frustum_planes[p], bsphere->center); + if (dist < -bsphere->radius) { + return false; + } + } + + return true; } /* Return True if the given BoundBox intersect the current view frustum. * bbox must be in world space. */ bool DRW_culling_box_test(BoundBox *bbox) { - draw_clipping_setup_from_view(); - - /* 6 view frustum planes */ - for (int p = 0; p < 6; p++) { - /* 8 box vertices. */ - for (int v = 0; v < 8 ; v++) { - float dist = plane_point_side_v3(DST.clipping.frustum_planes[p], bbox->vec[v]); - if (dist > 0.0f) { - /* At least one point in front of this plane. - * Go to next plane. */ - break; - } - else if (v == 7) { - /* 8 points behind this plane. */ - return false; - } - } - } - - return true; + draw_clipping_setup_from_view(); + + /* 6 view frustum planes */ + for (int p = 0; p < 6; p++) { + /* 8 box vertices. */ + for (int v = 0; v < 8; v++) { + float dist = plane_point_side_v3(DST.clipping.frustum_planes[p], bbox->vec[v]); + if (dist > 0.0f) { + /* At least one point in front of this plane. + * Go to next plane. */ + break; + } + else if (v == 7) { + /* 8 points behind this plane. */ + return false; + } + } + } + + return true; } /* Return True if the current view frustum is inside or intersect the given plane */ bool DRW_culling_plane_test(float plane[4]) { - draw_clipping_setup_from_view(); + draw_clipping_setup_from_view(); - /* Test against the 8 frustum corners. */ - for (int c = 0; c < 8; c++) { - float dist = plane_point_side_v3(plane, DST.clipping.frustum_corners.vec[c]); - if (dist < 0.0f) { - return true; - } - } + /* Test against the 8 frustum corners. */ + for (int c = 0; c < 8; c++) { + float dist = plane_point_side_v3(plane, DST.clipping.frustum_corners.vec[c]); + if (dist < 0.0f) { + return true; + } + } - return false; + return false; } void DRW_culling_frustum_corners_get(BoundBox *corners) { - draw_clipping_setup_from_view(); - memcpy(corners, &DST.clipping.frustum_corners, sizeof(BoundBox)); + draw_clipping_setup_from_view(); + memcpy(corners, &DST.clipping.frustum_corners, sizeof(BoundBox)); } /* See draw_clipping_setup_from_view() for the plane order. */ void DRW_culling_frustum_planes_get(float planes[6][4]) { - draw_clipping_setup_from_view(); - memcpy(planes, &DST.clipping.frustum_planes, sizeof(DST.clipping.frustum_planes)); + draw_clipping_setup_from_view(); + memcpy(planes, &DST.clipping.frustum_planes, sizeof(DST.clipping.frustum_planes)); } /** \} */ @@ -750,239 +761,254 @@ void DRW_culling_frustum_planes_get(float planes[6][4]) static void draw_visibility_eval(DRWCallState *st) { - bool culled = st->flag & DRW_CALL_CULLED; + bool culled = st->flag & DRW_CALL_CULLED; - if (st->cache_id != DST.state_cache_id) { - /* Update culling result for this view. */ - culled = !DRW_culling_sphere_test(&st->bsphere); - } + if (st->cache_id != DST.state_cache_id) { + /* Update culling result for this view. */ + culled = !DRW_culling_sphere_test(&st->bsphere); + } - if (st->visibility_cb) { - culled = !st->visibility_cb(!culled, st->user_data); - } + if (st->visibility_cb) { + culled = !st->visibility_cb(!culled, st->user_data); + } - SET_FLAG_FROM_TEST(st->flag, culled, DRW_CALL_CULLED); + SET_FLAG_FROM_TEST(st->flag, culled, DRW_CALL_CULLED); } static void draw_matrices_model_prepare(DRWCallState *st) { - if (st->cache_id == DST.state_cache_id) { - /* Values are already updated for this view. */ - return; - } - else { - st->cache_id = DST.state_cache_id; - } - - /* No need to go further the call will not be used. */ - if ((st->flag & DRW_CALL_CULLED) != 0 && - (st->flag & DRW_CALL_BYPASS_CULLING) == 0) - { - return; - } - /* Order matters */ - if (st->matflag & (DRW_CALL_MODELVIEW | DRW_CALL_MODELVIEWINVERSE | - DRW_CALL_NORMALVIEW | DRW_CALL_EYEVEC)) - { - mul_m4_m4m4(st->modelview, DST.view_data.matstate.mat[DRW_MAT_VIEW], st->model); - } - if (st->matflag & DRW_CALL_MODELVIEWINVERSE) { - invert_m4_m4(st->modelviewinverse, st->modelview); - } - if (st->matflag & DRW_CALL_MODELVIEWPROJECTION) { - mul_m4_m4m4(st->modelviewprojection, DST.view_data.matstate.mat[DRW_MAT_PERS], st->model); - } - if (st->matflag & (DRW_CALL_NORMALVIEW | DRW_CALL_NORMALVIEWINVERSE | DRW_CALL_EYEVEC)) { - copy_m3_m4(st->normalview, st->modelview); - invert_m3(st->normalview); - transpose_m3(st->normalview); - } - if (st->matflag & (DRW_CALL_NORMALVIEWINVERSE | DRW_CALL_EYEVEC)) { - invert_m3_m3(st->normalviewinverse, st->normalview); - } - /* TODO remove eye vec (unused) */ - if (st->matflag & DRW_CALL_EYEVEC) { - /* Used by orthographic wires */ - copy_v3_fl3(st->eyevec, 0.0f, 0.0f, 1.0f); - /* set eye vector, transformed to object coords */ - mul_m3_v3(st->normalviewinverse, st->eyevec); - } - /* Non view dependent */ - if (st->matflag & DRW_CALL_MODELINVERSE) { - invert_m4_m4(st->modelinverse, st->model); - st->matflag &= ~DRW_CALL_MODELINVERSE; - } - if (st->matflag & DRW_CALL_NORMALWORLD) { - copy_m3_m4(st->normalworld, st->model); - invert_m3(st->normalworld); - transpose_m3(st->normalworld); - st->matflag &= ~DRW_CALL_NORMALWORLD; - } + if (st->cache_id == DST.state_cache_id) { + /* Values are already updated for this view. */ + return; + } + else { + st->cache_id = DST.state_cache_id; + } + + /* No need to go further the call will not be used. */ + if ((st->flag & DRW_CALL_CULLED) != 0 && (st->flag & DRW_CALL_BYPASS_CULLING) == 0) { + return; + } + /* Order matters */ + if (st->matflag & + (DRW_CALL_MODELVIEW | DRW_CALL_MODELVIEWINVERSE | DRW_CALL_NORMALVIEW | DRW_CALL_EYEVEC)) { + mul_m4_m4m4(st->modelview, DST.view_data.matstate.mat[DRW_MAT_VIEW], st->model); + } + if (st->matflag & DRW_CALL_MODELVIEWINVERSE) { + invert_m4_m4(st->modelviewinverse, st->modelview); + } + if (st->matflag & DRW_CALL_MODELVIEWPROJECTION) { + mul_m4_m4m4(st->modelviewprojection, DST.view_data.matstate.mat[DRW_MAT_PERS], st->model); + } + if (st->matflag & (DRW_CALL_NORMALVIEW | DRW_CALL_NORMALVIEWINVERSE | DRW_CALL_EYEVEC)) { + copy_m3_m4(st->normalview, st->modelview); + invert_m3(st->normalview); + transpose_m3(st->normalview); + } + if (st->matflag & (DRW_CALL_NORMALVIEWINVERSE | DRW_CALL_EYEVEC)) { + invert_m3_m3(st->normalviewinverse, st->normalview); + } + /* TODO remove eye vec (unused) */ + if (st->matflag & DRW_CALL_EYEVEC) { + /* Used by orthographic wires */ + copy_v3_fl3(st->eyevec, 0.0f, 0.0f, 1.0f); + /* set eye vector, transformed to object coords */ + mul_m3_v3(st->normalviewinverse, st->eyevec); + } + /* Non view dependent */ + if (st->matflag & DRW_CALL_MODELINVERSE) { + invert_m4_m4(st->modelinverse, st->model); + st->matflag &= ~DRW_CALL_MODELINVERSE; + } + if (st->matflag & DRW_CALL_NORMALWORLD) { + copy_m3_m4(st->normalworld, st->model); + invert_m3(st->normalworld); + transpose_m3(st->normalworld); + st->matflag &= ~DRW_CALL_NORMALWORLD; + } } static void draw_geometry_prepare(DRWShadingGroup *shgroup, DRWCall *call) { - /* step 1 : bind object dependent matrices */ - if (call != NULL) { - DRWCallState *state = call->state; - float objectinfo[4]; - objectinfo[0] = state->objectinfo[0]; - objectinfo[1] = call->single.ma_index; /* WATCH this is only valid for single drawcalls. */ - objectinfo[2] = state->objectinfo[1]; - objectinfo[3] = (state->flag & DRW_CALL_NEGSCALE) ? -1.0f : 1.0f; - - GPU_shader_uniform_vector(shgroup->shader, shgroup->model, 16, 1, (float *)state->model); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelinverse, 16, 1, (float *)state->modelinverse); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelview, 16, 1, (float *)state->modelview); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelviewinverse, 16, 1, (float *)state->modelviewinverse); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelviewprojection, 16, 1, (float *)state->modelviewprojection); - GPU_shader_uniform_vector(shgroup->shader, shgroup->normalview, 9, 1, (float *)state->normalview); - GPU_shader_uniform_vector(shgroup->shader, shgroup->normalviewinverse, 9, 1, (float *)state->normalviewinverse); - GPU_shader_uniform_vector(shgroup->shader, shgroup->normalworld, 9, 1, (float *)state->normalworld); - GPU_shader_uniform_vector(shgroup->shader, shgroup->objectinfo, 4, 1, (float *)objectinfo); - GPU_shader_uniform_vector(shgroup->shader, shgroup->orcotexfac, 3, 2, (float *)state->orcotexfac); - GPU_shader_uniform_vector(shgroup->shader, shgroup->eye, 3, 1, (float *)state->eyevec); - } - else { - BLI_assert((shgroup->normalview == -1) && (shgroup->normalworld == -1) && (shgroup->eye == -1)); - /* For instancing and batching. */ - float unitmat[4][4]; - unit_m4(unitmat); - GPU_shader_uniform_vector(shgroup->shader, shgroup->model, 16, 1, (float *)unitmat); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelinverse, 16, 1, (float *)unitmat); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelview, 16, 1, (float *)DST.view_data.matstate.mat[DRW_MAT_VIEW]); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelviewinverse, 16, 1, (float *)DST.view_data.matstate.mat[DRW_MAT_VIEWINV]); - GPU_shader_uniform_vector(shgroup->shader, shgroup->modelviewprojection, 16, 1, (float *)DST.view_data.matstate.mat[DRW_MAT_PERS]); - GPU_shader_uniform_vector(shgroup->shader, shgroup->objectinfo, 4, 1, (float *)unitmat); - GPU_shader_uniform_vector(shgroup->shader, shgroup->orcotexfac, 3, 2, (float *)shgroup->instance_orcofac); - } + /* step 1 : bind object dependent matrices */ + if (call != NULL) { + DRWCallState *state = call->state; + float objectinfo[4]; + objectinfo[0] = state->objectinfo[0]; + objectinfo[1] = call->single.ma_index; /* WATCH this is only valid for single drawcalls. */ + objectinfo[2] = state->objectinfo[1]; + objectinfo[3] = (state->flag & DRW_CALL_NEGSCALE) ? -1.0f : 1.0f; + + GPU_shader_uniform_vector(shgroup->shader, shgroup->model, 16, 1, (float *)state->model); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->modelinverse, 16, 1, (float *)state->modelinverse); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->modelview, 16, 1, (float *)state->modelview); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->modelviewinverse, 16, 1, (float *)state->modelviewinverse); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->modelviewprojection, 16, 1, (float *)state->modelviewprojection); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->normalview, 9, 1, (float *)state->normalview); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->normalviewinverse, 9, 1, (float *)state->normalviewinverse); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->normalworld, 9, 1, (float *)state->normalworld); + GPU_shader_uniform_vector(shgroup->shader, shgroup->objectinfo, 4, 1, (float *)objectinfo); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->orcotexfac, 3, 2, (float *)state->orcotexfac); + GPU_shader_uniform_vector(shgroup->shader, shgroup->eye, 3, 1, (float *)state->eyevec); + } + else { + BLI_assert((shgroup->normalview == -1) && (shgroup->normalworld == -1) && + (shgroup->eye == -1)); + /* For instancing and batching. */ + float unitmat[4][4]; + unit_m4(unitmat); + GPU_shader_uniform_vector(shgroup->shader, shgroup->model, 16, 1, (float *)unitmat); + GPU_shader_uniform_vector(shgroup->shader, shgroup->modelinverse, 16, 1, (float *)unitmat); + GPU_shader_uniform_vector(shgroup->shader, + shgroup->modelview, + 16, + 1, + (float *)DST.view_data.matstate.mat[DRW_MAT_VIEW]); + GPU_shader_uniform_vector(shgroup->shader, + shgroup->modelviewinverse, + 16, + 1, + (float *)DST.view_data.matstate.mat[DRW_MAT_VIEWINV]); + GPU_shader_uniform_vector(shgroup->shader, + shgroup->modelviewprojection, + 16, + 1, + (float *)DST.view_data.matstate.mat[DRW_MAT_PERS]); + GPU_shader_uniform_vector(shgroup->shader, shgroup->objectinfo, 4, 1, (float *)unitmat); + GPU_shader_uniform_vector( + shgroup->shader, shgroup->orcotexfac, 3, 2, (float *)shgroup->instance_orcofac); + } } static void draw_geometry_execute_ex( - DRWShadingGroup *shgroup, GPUBatch *geom, uint start, uint count, bool draw_instance) + DRWShadingGroup *shgroup, GPUBatch *geom, uint start, uint count, bool draw_instance) { - /* Special case: empty drawcall, placement is done via shader, don't bind anything. */ - /* TODO use DRW_CALL_PROCEDURAL instead */ - if (geom == NULL) { - BLI_assert(shgroup->type == DRW_SHG_TRIANGLE_BATCH); /* Add other type if needed. */ - /* Shader is already bound. */ - GPU_draw_primitive(GPU_PRIM_TRIS, count); - return; - } - - /* step 2 : bind vertex array & draw */ - GPU_batch_program_set_no_use( - geom, GPU_shader_get_program(shgroup->shader), GPU_shader_get_interface(shgroup->shader)); - /* XXX hacking gawain. we don't want to call glUseProgram! (huge performance loss) */ - geom->program_in_use = true; - - GPU_batch_draw_range_ex(geom, start, count, draw_instance); - - geom->program_in_use = false; /* XXX hacking gawain */ + /* Special case: empty drawcall, placement is done via shader, don't bind anything. */ + /* TODO use DRW_CALL_PROCEDURAL instead */ + if (geom == NULL) { + BLI_assert(shgroup->type == DRW_SHG_TRIANGLE_BATCH); /* Add other type if needed. */ + /* Shader is already bound. */ + GPU_draw_primitive(GPU_PRIM_TRIS, count); + return; + } + + /* step 2 : bind vertex array & draw */ + GPU_batch_program_set_no_use( + geom, GPU_shader_get_program(shgroup->shader), GPU_shader_get_interface(shgroup->shader)); + /* XXX hacking gawain. we don't want to call glUseProgram! (huge performance loss) */ + geom->program_in_use = true; + + GPU_batch_draw_range_ex(geom, start, count, draw_instance); + + geom->program_in_use = false; /* XXX hacking gawain */ } static void draw_geometry_execute(DRWShadingGroup *shgroup, GPUBatch *geom) { - draw_geometry_execute_ex(shgroup, geom, 0, 0, false); + draw_geometry_execute_ex(shgroup, geom, 0, 0, false); } enum { - BIND_NONE = 0, - BIND_TEMP = 1, /* Release slot after this shading group. */ - BIND_PERSIST = 2, /* Release slot only after the next shader change. */ + BIND_NONE = 0, + BIND_TEMP = 1, /* Release slot after this shading group. */ + BIND_PERSIST = 2, /* Release slot only after the next shader change. */ }; static void set_bound_flags(uint64_t *slots, uint64_t *persist_slots, int slot_idx, char bind_type) { - uint64_t slot = 1lu << slot_idx; - *slots |= slot; - if (bind_type == BIND_PERSIST) { - *persist_slots |= slot; - } + uint64_t slot = 1lu << slot_idx; + *slots |= slot; + if (bind_type == BIND_PERSIST) { + *persist_slots |= slot; + } } static int get_empty_slot_index(uint64_t slots) { - uint64_t empty_slots = ~slots; - /* Find first empty slot using bitscan. */ - if (empty_slots != 0) { - if ((empty_slots & 0xFFFFFFFFlu) != 0) { - return (int)bitscan_forward_uint(empty_slots); - } - else { - return (int)bitscan_forward_uint(empty_slots >> 32) + 32; - } - } - else { - /* Greater than GPU_max_textures() */ - return 99999; - } + uint64_t empty_slots = ~slots; + /* Find first empty slot using bitscan. */ + if (empty_slots != 0) { + if ((empty_slots & 0xFFFFFFFFlu) != 0) { + return (int)bitscan_forward_uint(empty_slots); + } + else { + return (int)bitscan_forward_uint(empty_slots >> 32) + 32; + } + } + else { + /* Greater than GPU_max_textures() */ + return 99999; + } } static void bind_texture(GPUTexture *tex, char bind_type) { - int idx = GPU_texture_bound_number(tex); - if (idx == -1) { - /* Texture isn't bound yet. Find an empty slot and bind it. */ - idx = get_empty_slot_index(DST.RST.bound_tex_slots); - - if (idx < GPU_max_textures()) { - GPUTexture **gpu_tex_slot = &DST.RST.bound_texs[idx]; - /* Unbind any previous texture. */ - if (*gpu_tex_slot != NULL) { - GPU_texture_unbind(*gpu_tex_slot); - } - GPU_texture_bind(tex, idx); - *gpu_tex_slot = tex; - } - else { - printf("Not enough texture slots! Reduce number of textures used by your shader.\n"); - return; - } - } - else { - /* This texture slot was released but the tex - * is still bound. Just flag the slot again. */ - BLI_assert(DST.RST.bound_texs[idx] == tex); - } - set_bound_flags(&DST.RST.bound_tex_slots, - &DST.RST.bound_tex_slots_persist, - idx, bind_type); + int idx = GPU_texture_bound_number(tex); + if (idx == -1) { + /* Texture isn't bound yet. Find an empty slot and bind it. */ + idx = get_empty_slot_index(DST.RST.bound_tex_slots); + + if (idx < GPU_max_textures()) { + GPUTexture **gpu_tex_slot = &DST.RST.bound_texs[idx]; + /* Unbind any previous texture. */ + if (*gpu_tex_slot != NULL) { + GPU_texture_unbind(*gpu_tex_slot); + } + GPU_texture_bind(tex, idx); + *gpu_tex_slot = tex; + } + else { + printf("Not enough texture slots! Reduce number of textures used by your shader.\n"); + return; + } + } + else { + /* This texture slot was released but the tex + * is still bound. Just flag the slot again. */ + BLI_assert(DST.RST.bound_texs[idx] == tex); + } + set_bound_flags(&DST.RST.bound_tex_slots, &DST.RST.bound_tex_slots_persist, idx, bind_type); } static void bind_ubo(GPUUniformBuffer *ubo, char bind_type) { - int idx = GPU_uniformbuffer_bindpoint(ubo); - if (idx == -1) { - /* UBO isn't bound yet. Find an empty slot and bind it. */ - idx = get_empty_slot_index(DST.RST.bound_ubo_slots); - - if (idx < GPU_max_ubo_binds()) { - GPUUniformBuffer **gpu_ubo_slot = &DST.RST.bound_ubos[idx]; - /* Unbind any previous UBO. */ - if (*gpu_ubo_slot != NULL) { - GPU_uniformbuffer_unbind(*gpu_ubo_slot); - } - GPU_uniformbuffer_bind(ubo, idx); - *gpu_ubo_slot = ubo; - } - else { - /* printf so user can report bad behavior */ - printf("Not enough ubo slots! This should not happen!\n"); - /* This is not depending on user input. - * It is our responsibility to make sure there is enough slots. */ - BLI_assert(0); - return; - } - } - else { - /* This UBO slot was released but the UBO is - * still bound here. Just flag the slot again. */ - BLI_assert(DST.RST.bound_ubos[idx] == ubo); - } - set_bound_flags(&DST.RST.bound_ubo_slots, - &DST.RST.bound_ubo_slots_persist, - idx, bind_type); + int idx = GPU_uniformbuffer_bindpoint(ubo); + if (idx == -1) { + /* UBO isn't bound yet. Find an empty slot and bind it. */ + idx = get_empty_slot_index(DST.RST.bound_ubo_slots); + + if (idx < GPU_max_ubo_binds()) { + GPUUniformBuffer **gpu_ubo_slot = &DST.RST.bound_ubos[idx]; + /* Unbind any previous UBO. */ + if (*gpu_ubo_slot != NULL) { + GPU_uniformbuffer_unbind(*gpu_ubo_slot); + } + GPU_uniformbuffer_bind(ubo, idx); + *gpu_ubo_slot = ubo; + } + else { + /* printf so user can report bad behavior */ + printf("Not enough ubo slots! This should not happen!\n"); + /* This is not depending on user input. + * It is our responsibility to make sure there is enough slots. */ + BLI_assert(0); + return; + } + } + else { + /* This UBO slot was released but the UBO is + * still bound here. Just flag the slot again. */ + BLI_assert(DST.RST.bound_ubos[idx] == ubo); + } + set_bound_flags(&DST.RST.bound_ubo_slots, &DST.RST.bound_ubo_slots_persist, idx, bind_type); } #ifndef NDEBUG @@ -1001,403 +1027,418 @@ static void bind_ubo(GPUUniformBuffer *ubo, char bind_type) * */ static bool ubo_bindings_validate(DRWShadingGroup *shgroup) { - bool valid = true; + bool valid = true; # ifdef DEBUG_UBO_BINDING - /* Check that all active uniform blocks have a non-zero buffer bound. */ - GLint program = 0; - GLint active_blocks = 0; - - glGetIntegerv(GL_CURRENT_PROGRAM, &program); - glGetProgramiv(program, GL_ACTIVE_UNIFORM_BLOCKS, &active_blocks); - - for (uint i = 0; i < active_blocks; ++i) { - int binding = 0; - int buffer = 0; - - glGetActiveUniformBlockiv(program, i, GL_UNIFORM_BLOCK_BINDING, &binding); - glGetIntegeri_v(GL_UNIFORM_BUFFER_BINDING, binding, &buffer); - - if (buffer == 0) { - char blockname[64]; - glGetActiveUniformBlockName(program, i, sizeof(blockname), NULL, blockname); - - if (valid) { - printf("Trying to draw with missing UBO binding.\n"); - valid = false; - } - printf("Pass : %s, Shader : %s, Block : %s\n", shgroup->pass_parent->name, shgroup->shader->name, blockname); - } - } + /* Check that all active uniform blocks have a non-zero buffer bound. */ + GLint program = 0; + GLint active_blocks = 0; + + glGetIntegerv(GL_CURRENT_PROGRAM, &program); + glGetProgramiv(program, GL_ACTIVE_UNIFORM_BLOCKS, &active_blocks); + + for (uint i = 0; i < active_blocks; ++i) { + int binding = 0; + int buffer = 0; + + glGetActiveUniformBlockiv(program, i, GL_UNIFORM_BLOCK_BINDING, &binding); + glGetIntegeri_v(GL_UNIFORM_BUFFER_BINDING, binding, &buffer); + + if (buffer == 0) { + char blockname[64]; + glGetActiveUniformBlockName(program, i, sizeof(blockname), NULL, blockname); + + if (valid) { + printf("Trying to draw with missing UBO binding.\n"); + valid = false; + } + printf("Pass : %s, Shader : %s, Block : %s\n", + shgroup->pass_parent->name, + shgroup->shader->name, + blockname); + } + } # endif - return valid; + return valid; } #endif static void release_texture_slots(bool with_persist) { - if (with_persist) { - DST.RST.bound_tex_slots = 0; - DST.RST.bound_tex_slots_persist = 0; - } - else { - DST.RST.bound_tex_slots &= DST.RST.bound_tex_slots_persist; - } + if (with_persist) { + DST.RST.bound_tex_slots = 0; + DST.RST.bound_tex_slots_persist = 0; + } + else { + DST.RST.bound_tex_slots &= DST.RST.bound_tex_slots_persist; + } } static void release_ubo_slots(bool with_persist) { - if (with_persist) { - DST.RST.bound_ubo_slots = 0; - DST.RST.bound_ubo_slots_persist = 0; - } - else { - DST.RST.bound_ubo_slots &= DST.RST.bound_ubo_slots_persist; - } + if (with_persist) { + DST.RST.bound_ubo_slots = 0; + DST.RST.bound_ubo_slots_persist = 0; + } + else { + DST.RST.bound_ubo_slots &= DST.RST.bound_ubo_slots_persist; + } } static void draw_shgroup(DRWShadingGroup *shgroup, DRWState pass_state) { - BLI_assert(shgroup->shader); - - GPUTexture *tex; - GPUUniformBuffer *ubo; - int val; - float fval; - const bool shader_changed = (DST.shader != shgroup->shader); - bool use_tfeedback = false; - - if (shader_changed) { - if (DST.shader) { - GPU_shader_unbind(); - } - GPU_shader_bind(shgroup->shader); - DST.shader = shgroup->shader; - } - - if ((pass_state & DRW_STATE_TRANS_FEEDBACK) != 0 && - (shgroup->type == DRW_SHG_FEEDBACK_TRANSFORM)) - { - use_tfeedback = GPU_shader_transform_feedback_enable(shgroup->shader, - shgroup->tfeedback_target->vbo_id); - } - - release_ubo_slots(shader_changed); - release_texture_slots(shader_changed); - - drw_state_set((pass_state & shgroup->state_extra_disable) | shgroup->state_extra); - drw_stencil_set(shgroup->stencil_mask); - - /* Binding Uniform */ - for (DRWUniform *uni = shgroup->uniforms; uni; uni = uni->next) { - if (uni->location == -2) { - uni->location = GPU_shader_get_uniform_ensure(shgroup->shader, DST.uniform_names.buffer + uni->name_ofs); - if (uni->location == -1) { - continue; - } - } - switch (uni->type) { - case DRW_UNIFORM_SHORT_TO_INT: - val = (int)*((short *)uni->pvalue); - GPU_shader_uniform_vector_int( - shgroup->shader, uni->location, uni->length, uni->arraysize, &val); - break; - case DRW_UNIFORM_SHORT_TO_FLOAT: - fval = (float)*((short *)uni->pvalue); - GPU_shader_uniform_vector( - shgroup->shader, uni->location, uni->length, uni->arraysize, (float *)&fval); - break; - case DRW_UNIFORM_BOOL_COPY: - case DRW_UNIFORM_INT_COPY: - GPU_shader_uniform_vector_int( - shgroup->shader, uni->location, uni->length, uni->arraysize, &uni->ivalue); - break; - case DRW_UNIFORM_BOOL: - case DRW_UNIFORM_INT: - GPU_shader_uniform_vector_int( - shgroup->shader, uni->location, uni->length, uni->arraysize, (int *)uni->pvalue); - break; - case DRW_UNIFORM_FLOAT_COPY: - GPU_shader_uniform_vector( - shgroup->shader, uni->location, uni->length, uni->arraysize, &uni->fvalue); - break; - case DRW_UNIFORM_FLOAT: - GPU_shader_uniform_vector( - shgroup->shader, uni->location, uni->length, uni->arraysize, (float *)uni->pvalue); - break; - case DRW_UNIFORM_TEXTURE: - tex = (GPUTexture *)uni->pvalue; - BLI_assert(tex); - bind_texture(tex, BIND_TEMP); - GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); - break; - case DRW_UNIFORM_TEXTURE_PERSIST: - tex = (GPUTexture *)uni->pvalue; - BLI_assert(tex); - bind_texture(tex, BIND_PERSIST); - GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); - break; - case DRW_UNIFORM_TEXTURE_REF: - tex = *((GPUTexture **)uni->pvalue); - BLI_assert(tex); - bind_texture(tex, BIND_TEMP); - GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); - break; - case DRW_UNIFORM_BLOCK: - ubo = (GPUUniformBuffer *)uni->pvalue; - bind_ubo(ubo, BIND_TEMP); - GPU_shader_uniform_buffer(shgroup->shader, uni->location, ubo); - break; - case DRW_UNIFORM_BLOCK_PERSIST: - ubo = (GPUUniformBuffer *)uni->pvalue; - bind_ubo(ubo, BIND_PERSIST); - GPU_shader_uniform_buffer(shgroup->shader, uni->location, ubo); - break; - } - } + BLI_assert(shgroup->shader); + + GPUTexture *tex; + GPUUniformBuffer *ubo; + int val; + float fval; + const bool shader_changed = (DST.shader != shgroup->shader); + bool use_tfeedback = false; + + if (shader_changed) { + if (DST.shader) { + GPU_shader_unbind(); + } + GPU_shader_bind(shgroup->shader); + DST.shader = shgroup->shader; + } + + if ((pass_state & DRW_STATE_TRANS_FEEDBACK) != 0 && + (shgroup->type == DRW_SHG_FEEDBACK_TRANSFORM)) { + use_tfeedback = GPU_shader_transform_feedback_enable(shgroup->shader, + shgroup->tfeedback_target->vbo_id); + } + + release_ubo_slots(shader_changed); + release_texture_slots(shader_changed); + + drw_state_set((pass_state & shgroup->state_extra_disable) | shgroup->state_extra); + drw_stencil_set(shgroup->stencil_mask); + + /* Binding Uniform */ + for (DRWUniform *uni = shgroup->uniforms; uni; uni = uni->next) { + if (uni->location == -2) { + uni->location = GPU_shader_get_uniform_ensure(shgroup->shader, + DST.uniform_names.buffer + uni->name_ofs); + if (uni->location == -1) { + continue; + } + } + switch (uni->type) { + case DRW_UNIFORM_SHORT_TO_INT: + val = (int)*((short *)uni->pvalue); + GPU_shader_uniform_vector_int( + shgroup->shader, uni->location, uni->length, uni->arraysize, &val); + break; + case DRW_UNIFORM_SHORT_TO_FLOAT: + fval = (float)*((short *)uni->pvalue); + GPU_shader_uniform_vector( + shgroup->shader, uni->location, uni->length, uni->arraysize, (float *)&fval); + break; + case DRW_UNIFORM_BOOL_COPY: + case DRW_UNIFORM_INT_COPY: + GPU_shader_uniform_vector_int( + shgroup->shader, uni->location, uni->length, uni->arraysize, &uni->ivalue); + break; + case DRW_UNIFORM_BOOL: + case DRW_UNIFORM_INT: + GPU_shader_uniform_vector_int( + shgroup->shader, uni->location, uni->length, uni->arraysize, (int *)uni->pvalue); + break; + case DRW_UNIFORM_FLOAT_COPY: + GPU_shader_uniform_vector( + shgroup->shader, uni->location, uni->length, uni->arraysize, &uni->fvalue); + break; + case DRW_UNIFORM_FLOAT: + GPU_shader_uniform_vector( + shgroup->shader, uni->location, uni->length, uni->arraysize, (float *)uni->pvalue); + break; + case DRW_UNIFORM_TEXTURE: + tex = (GPUTexture *)uni->pvalue; + BLI_assert(tex); + bind_texture(tex, BIND_TEMP); + GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); + break; + case DRW_UNIFORM_TEXTURE_PERSIST: + tex = (GPUTexture *)uni->pvalue; + BLI_assert(tex); + bind_texture(tex, BIND_PERSIST); + GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); + break; + case DRW_UNIFORM_TEXTURE_REF: + tex = *((GPUTexture **)uni->pvalue); + BLI_assert(tex); + bind_texture(tex, BIND_TEMP); + GPU_shader_uniform_texture(shgroup->shader, uni->location, tex); + break; + case DRW_UNIFORM_BLOCK: + ubo = (GPUUniformBuffer *)uni->pvalue; + bind_ubo(ubo, BIND_TEMP); + GPU_shader_uniform_buffer(shgroup->shader, uni->location, ubo); + break; + case DRW_UNIFORM_BLOCK_PERSIST: + ubo = (GPUUniformBuffer *)uni->pvalue; + bind_ubo(ubo, BIND_PERSIST); + GPU_shader_uniform_buffer(shgroup->shader, uni->location, ubo); + break; + } + } #ifdef USE_GPU_SELECT # define GPU_SELECT_LOAD_IF_PICKSEL(_select_id) \ - if (G.f & G_FLAG_PICKSEL) { \ - GPU_select_load_id(_select_id); \ - } ((void)0) + if (G.f & G_FLAG_PICKSEL) { \ + GPU_select_load_id(_select_id); \ + } \ + ((void)0) # define GPU_SELECT_LOAD_IF_PICKSEL_CALL(_call) \ - if ((G.f & G_FLAG_PICKSEL) && (_call)) { \ - GPU_select_load_id((_call)->select_id); \ - } ((void)0) - -# define GPU_SELECT_LOAD_IF_PICKSEL_LIST(_shgroup, _start, _count) \ - _start = 0; \ - _count = _shgroup->instance_count; \ - int *select_id = NULL; \ - if (G.f & G_FLAG_PICKSEL) { \ - if (_shgroup->override_selectid == -1) { \ - /* Hack : get vbo data without actually drawing. */ \ - GPUVertBufRaw raw; \ - GPU_vertbuf_attr_get_raw_data(_shgroup->inst_selectid, 0, &raw); \ - select_id = GPU_vertbuf_raw_step(&raw); \ - switch (_shgroup->type) { \ - case DRW_SHG_TRIANGLE_BATCH: _count = 3; break; \ - case DRW_SHG_LINE_BATCH: _count = 2; break; \ - default: _count = 1; break; \ - } \ - } \ - else { \ - GPU_select_load_id(_shgroup->override_selectid); \ - } \ - } \ - while (_start < _shgroup->instance_count) { \ - if (select_id) { \ - GPU_select_load_id(select_id[_start]); \ - } + if ((G.f & G_FLAG_PICKSEL) && (_call)) { \ + GPU_select_load_id((_call)->select_id); \ + } \ + ((void)0) + +# define GPU_SELECT_LOAD_IF_PICKSEL_LIST(_shgroup, _start, _count) \ + _start = 0; \ + _count = _shgroup->instance_count; \ + int *select_id = NULL; \ + if (G.f & G_FLAG_PICKSEL) { \ + if (_shgroup->override_selectid == -1) { \ + /* Hack : get vbo data without actually drawing. */ \ + GPUVertBufRaw raw; \ + GPU_vertbuf_attr_get_raw_data(_shgroup->inst_selectid, 0, &raw); \ + select_id = GPU_vertbuf_raw_step(&raw); \ + switch (_shgroup->type) { \ + case DRW_SHG_TRIANGLE_BATCH: \ + _count = 3; \ + break; \ + case DRW_SHG_LINE_BATCH: \ + _count = 2; \ + break; \ + default: \ + _count = 1; \ + break; \ + } \ + } \ + else { \ + GPU_select_load_id(_shgroup->override_selectid); \ + } \ + } \ + while (_start < _shgroup->instance_count) { \ + if (select_id) { \ + GPU_select_load_id(select_id[_start]); \ + } # define GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(_start, _count) \ - _start += _count; \ - } + _start += _count; \ + } #else # define GPU_SELECT_LOAD_IF_PICKSEL(select_id) # define GPU_SELECT_LOAD_IF_PICKSEL_CALL(call) # define GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(start, count) # define GPU_SELECT_LOAD_IF_PICKSEL_LIST(_shgroup, _start, _count) \ - _start = 0; \ - _count = _shgroup->instance_count; + _start = 0; \ + _count = _shgroup->instance_count; #endif - BLI_assert(ubo_bindings_validate(shgroup)); - - /* Rendering Calls */ - if (!ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)) { - /* Replacing multiple calls with only one */ - if (ELEM(shgroup->type, DRW_SHG_INSTANCE, DRW_SHG_INSTANCE_EXTERNAL)) { - if (shgroup->type == DRW_SHG_INSTANCE_EXTERNAL) { - if (shgroup->instance_geom != NULL) { - GPU_SELECT_LOAD_IF_PICKSEL(shgroup->override_selectid); - draw_geometry_prepare(shgroup, NULL); - draw_geometry_execute_ex(shgroup, shgroup->instance_geom, 0, 0, true); - } - } - else { - if (shgroup->instance_count > 0) { - uint count, start; - draw_geometry_prepare(shgroup, NULL); - GPU_SELECT_LOAD_IF_PICKSEL_LIST(shgroup, start, count) - { - draw_geometry_execute_ex(shgroup, shgroup->instance_geom, start, count, true); - } - GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(start, count) - } - } - } - else { /* DRW_SHG_***_BATCH */ - /* Some dynamic batch can have no geom (no call to aggregate) */ - if (shgroup->instance_count > 0) { - uint count, start; - draw_geometry_prepare(shgroup, NULL); - GPU_SELECT_LOAD_IF_PICKSEL_LIST(shgroup, start, count) - { - draw_geometry_execute_ex(shgroup, shgroup->batch_geom, start, count, false); - } - GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(start, count) - } - } - } - else { - bool prev_neg_scale = false; - int callid = 0; - for (DRWCall *call = shgroup->calls.first; call; call = call->next) { - - /* OPTI/IDEA(clem): Do this preparation in another thread. */ - draw_visibility_eval(call->state); - draw_matrices_model_prepare(call->state); - - if ((call->state->flag & DRW_CALL_CULLED) != 0 && - (call->state->flag & DRW_CALL_BYPASS_CULLING) == 0) - { - continue; - } - - /* XXX small exception/optimisation for outline rendering. */ - if (shgroup->callid != -1) { - GPU_shader_uniform_vector_int(shgroup->shader, shgroup->callid, 1, 1, &callid); - callid += 1; - } - - /* Negative scale objects */ - bool neg_scale = call->state->flag & DRW_CALL_NEGSCALE; - if (neg_scale != prev_neg_scale) { - glFrontFace((neg_scale) ? DST.backface : DST.frontface); - prev_neg_scale = neg_scale; - } - - GPU_SELECT_LOAD_IF_PICKSEL_CALL(call); - draw_geometry_prepare(shgroup, call); - - switch (call->type) { - case DRW_CALL_SINGLE: - draw_geometry_execute(shgroup, call->single.geometry); - break; - case DRW_CALL_RANGE: - draw_geometry_execute_ex(shgroup, call->range.geometry, call->range.start, call->range.count, false); - break; - case DRW_CALL_INSTANCES: - draw_geometry_execute_ex(shgroup, call->instances.geometry, 0, *call->instances.count, true); - break; - case DRW_CALL_GENERATE: - call->generate.geometry_fn(shgroup, draw_geometry_execute, call->generate.user_data); - break; - case DRW_CALL_PROCEDURAL: - GPU_draw_primitive(call->procedural.prim_type, call->procedural.vert_count); - break; - default: - BLI_assert(0); - } - } - /* Reset state */ - glFrontFace(DST.frontface); - } - - if (use_tfeedback) { - GPU_shader_transform_feedback_disable(shgroup->shader); - } + BLI_assert(ubo_bindings_validate(shgroup)); + + /* Rendering Calls */ + if (!ELEM(shgroup->type, DRW_SHG_NORMAL, DRW_SHG_FEEDBACK_TRANSFORM)) { + /* Replacing multiple calls with only one */ + if (ELEM(shgroup->type, DRW_SHG_INSTANCE, DRW_SHG_INSTANCE_EXTERNAL)) { + if (shgroup->type == DRW_SHG_INSTANCE_EXTERNAL) { + if (shgroup->instance_geom != NULL) { + GPU_SELECT_LOAD_IF_PICKSEL(shgroup->override_selectid); + draw_geometry_prepare(shgroup, NULL); + draw_geometry_execute_ex(shgroup, shgroup->instance_geom, 0, 0, true); + } + } + else { + if (shgroup->instance_count > 0) { + uint count, start; + draw_geometry_prepare(shgroup, NULL); + GPU_SELECT_LOAD_IF_PICKSEL_LIST(shgroup, start, count) + { + draw_geometry_execute_ex(shgroup, shgroup->instance_geom, start, count, true); + } + GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(start, count) + } + } + } + else { /* DRW_SHG_***_BATCH */ + /* Some dynamic batch can have no geom (no call to aggregate) */ + if (shgroup->instance_count > 0) { + uint count, start; + draw_geometry_prepare(shgroup, NULL); + GPU_SELECT_LOAD_IF_PICKSEL_LIST(shgroup, start, count) + { + draw_geometry_execute_ex(shgroup, shgroup->batch_geom, start, count, false); + } + GPU_SELECT_LOAD_IF_PICKSEL_LIST_END(start, count) + } + } + } + else { + bool prev_neg_scale = false; + int callid = 0; + for (DRWCall *call = shgroup->calls.first; call; call = call->next) { + + /* OPTI/IDEA(clem): Do this preparation in another thread. */ + draw_visibility_eval(call->state); + draw_matrices_model_prepare(call->state); + + if ((call->state->flag & DRW_CALL_CULLED) != 0 && + (call->state->flag & DRW_CALL_BYPASS_CULLING) == 0) { + continue; + } + + /* XXX small exception/optimisation for outline rendering. */ + if (shgroup->callid != -1) { + GPU_shader_uniform_vector_int(shgroup->shader, shgroup->callid, 1, 1, &callid); + callid += 1; + } + + /* Negative scale objects */ + bool neg_scale = call->state->flag & DRW_CALL_NEGSCALE; + if (neg_scale != prev_neg_scale) { + glFrontFace((neg_scale) ? DST.backface : DST.frontface); + prev_neg_scale = neg_scale; + } + + GPU_SELECT_LOAD_IF_PICKSEL_CALL(call); + draw_geometry_prepare(shgroup, call); + + switch (call->type) { + case DRW_CALL_SINGLE: + draw_geometry_execute(shgroup, call->single.geometry); + break; + case DRW_CALL_RANGE: + draw_geometry_execute_ex( + shgroup, call->range.geometry, call->range.start, call->range.count, false); + break; + case DRW_CALL_INSTANCES: + draw_geometry_execute_ex( + shgroup, call->instances.geometry, 0, *call->instances.count, true); + break; + case DRW_CALL_GENERATE: + call->generate.geometry_fn(shgroup, draw_geometry_execute, call->generate.user_data); + break; + case DRW_CALL_PROCEDURAL: + GPU_draw_primitive(call->procedural.prim_type, call->procedural.vert_count); + break; + default: + BLI_assert(0); + } + } + /* Reset state */ + glFrontFace(DST.frontface); + } + + if (use_tfeedback) { + GPU_shader_transform_feedback_disable(shgroup->shader); + } } static void drw_update_view(void) { - if (DST.dirty_mat) { - DST.state_cache_id++; - DST.dirty_mat = false; - - DRW_uniformbuffer_update(G_draw.view_ubo, &DST.view_data); - - /* Catch integer wrap around. */ - if (UNLIKELY(DST.state_cache_id == 0)) { - DST.state_cache_id = 1; - /* We must reset all CallStates to ensure that not - * a single one stayed with cache_id equal to 1. */ - BLI_mempool_iter iter; - DRWCallState *state; - BLI_mempool_iternew(DST.vmempool->states, &iter); - while ((state = BLI_mempool_iterstep(&iter))) { - state->cache_id = 0; - } - } - - /* TODO dispatch threads to compute matrices/culling */ - } - - draw_clipping_setup_from_view(); + if (DST.dirty_mat) { + DST.state_cache_id++; + DST.dirty_mat = false; + + DRW_uniformbuffer_update(G_draw.view_ubo, &DST.view_data); + + /* Catch integer wrap around. */ + if (UNLIKELY(DST.state_cache_id == 0)) { + DST.state_cache_id = 1; + /* We must reset all CallStates to ensure that not + * a single one stayed with cache_id equal to 1. */ + BLI_mempool_iter iter; + DRWCallState *state; + BLI_mempool_iternew(DST.vmempool->states, &iter); + while ((state = BLI_mempool_iterstep(&iter))) { + state->cache_id = 0; + } + } + + /* TODO dispatch threads to compute matrices/culling */ + } + + draw_clipping_setup_from_view(); } -static void drw_draw_pass_ex(DRWPass *pass, DRWShadingGroup *start_group, DRWShadingGroup *end_group) +static void drw_draw_pass_ex(DRWPass *pass, + DRWShadingGroup *start_group, + DRWShadingGroup *end_group) { - if (start_group == NULL) { - return; - } - - DST.shader = NULL; - - BLI_assert(DST.buffer_finish_called && "DRW_render_instance_buffer_finish had not been called before drawing"); - - drw_update_view(); - - /* GPU_framebuffer_clear calls can change the state outside the DRW module. - * Force reset the affected states to avoid problems later. */ - drw_state_set(DST.state | DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR); - - drw_state_set(pass->state); - - DRW_stats_query_start(pass->name); - - for (DRWShadingGroup *shgroup = start_group; shgroup; shgroup = shgroup->next) { - draw_shgroup(shgroup, pass->state); - /* break if upper limit */ - if (shgroup == end_group) { - break; - } - } - - /* Clear Bound textures */ - for (int i = 0; i < DST_MAX_SLOTS; i++) { - if (DST.RST.bound_texs[i] != NULL) { - GPU_texture_unbind(DST.RST.bound_texs[i]); - DST.RST.bound_texs[i] = NULL; - } - } - - /* Clear Bound Ubos */ - for (int i = 0; i < DST_MAX_SLOTS; i++) { - if (DST.RST.bound_ubos[i] != NULL) { - GPU_uniformbuffer_unbind(DST.RST.bound_ubos[i]); - DST.RST.bound_ubos[i] = NULL; - } - } - - if (DST.shader) { - GPU_shader_unbind(); - DST.shader = NULL; - } - - /* HACK: Rasterized discard can affect clear commands which are not - * part of a DRWPass (as of now). So disable rasterized discard here - * if it has been enabled. */ - if ((DST.state & DRW_STATE_RASTERIZER_ENABLED) == 0) { - drw_state_set((DST.state & ~DRW_STATE_RASTERIZER_ENABLED) | DRW_STATE_DEFAULT); - } - - DRW_stats_query_end(); + if (start_group == NULL) { + return; + } + + DST.shader = NULL; + + BLI_assert(DST.buffer_finish_called && + "DRW_render_instance_buffer_finish had not been called before drawing"); + + drw_update_view(); + + /* GPU_framebuffer_clear calls can change the state outside the DRW module. + * Force reset the affected states to avoid problems later. */ + drw_state_set(DST.state | DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR); + + drw_state_set(pass->state); + + DRW_stats_query_start(pass->name); + + for (DRWShadingGroup *shgroup = start_group; shgroup; shgroup = shgroup->next) { + draw_shgroup(shgroup, pass->state); + /* break if upper limit */ + if (shgroup == end_group) { + break; + } + } + + /* Clear Bound textures */ + for (int i = 0; i < DST_MAX_SLOTS; i++) { + if (DST.RST.bound_texs[i] != NULL) { + GPU_texture_unbind(DST.RST.bound_texs[i]); + DST.RST.bound_texs[i] = NULL; + } + } + + /* Clear Bound Ubos */ + for (int i = 0; i < DST_MAX_SLOTS; i++) { + if (DST.RST.bound_ubos[i] != NULL) { + GPU_uniformbuffer_unbind(DST.RST.bound_ubos[i]); + DST.RST.bound_ubos[i] = NULL; + } + } + + if (DST.shader) { + GPU_shader_unbind(); + DST.shader = NULL; + } + + /* HACK: Rasterized discard can affect clear commands which are not + * part of a DRWPass (as of now). So disable rasterized discard here + * if it has been enabled. */ + if ((DST.state & DRW_STATE_RASTERIZER_ENABLED) == 0) { + drw_state_set((DST.state & ~DRW_STATE_RASTERIZER_ENABLED) | DRW_STATE_DEFAULT); + } + + DRW_stats_query_end(); } void DRW_draw_pass(DRWPass *pass) { - drw_draw_pass_ex(pass, pass->shgroups.first, pass->shgroups.last); + drw_draw_pass_ex(pass, pass->shgroups.first, pass->shgroups.last); } /* Draw only a subset of shgroups. Used in special situations as grease pencil strokes */ void DRW_draw_pass_subset(DRWPass *pass, DRWShadingGroup *start_group, DRWShadingGroup *end_group) { - drw_draw_pass_ex(pass, start_group, end_group); + drw_draw_pass_ex(pass, start_group, end_group); } /** \} */ diff --git a/source/blender/draw/intern/draw_manager_profiling.c b/source/blender/draw/intern/draw_manager_profiling.c index 51c0f4c4640..5e21e5e576c 100644 --- a/source/blender/draw/intern/draw_manager_profiling.c +++ b/source/blender/draw/intern/draw_manager_profiling.c @@ -35,7 +35,6 @@ #include "UI_resources.h" - #include "draw_manager_profiling.h" #define MAX_TIMER_NAME 32 @@ -44,317 +43,321 @@ #define GPU_TIMER_FALLOFF 0.1 typedef struct DRWTimer { - GLuint query[2]; - GLuint64 time_average; - char name[MAX_TIMER_NAME]; - int lvl; /* Hierarchy level for nested timer. */ - bool is_query; /* Does this timer actually perform queries or is it just a group. */ + GLuint query[2]; + GLuint64 time_average; + char name[MAX_TIMER_NAME]; + int lvl; /* Hierarchy level for nested timer. */ + bool is_query; /* Does this timer actually perform queries or is it just a group. */ } DRWTimer; static struct DRWTimerPool { - DRWTimer *timers; - int chunk_count; /* Number of chunk allocated. */ - int timer_count; /* chunk_count * CHUNK_SIZE */ - int timer_increment; /* Keep track of where we are in the stack. */ - int end_increment; /* Keep track of bad usage. */ - bool is_recording; /* Are we in the render loop? */ - bool is_querying; /* Keep track of bad usage. */ + DRWTimer *timers; + int chunk_count; /* Number of chunk allocated. */ + int timer_count; /* chunk_count * CHUNK_SIZE */ + int timer_increment; /* Keep track of where we are in the stack. */ + int end_increment; /* Keep track of bad usage. */ + bool is_recording; /* Are we in the render loop? */ + bool is_querying; /* Keep track of bad usage. */ } DTP = {NULL}; void DRW_stats_free(void) { - if (DTP.timers != NULL) { - for (int i = 0; i < DTP.timer_count; ++i) { - DRWTimer *timer = &DTP.timers[i]; - glDeleteQueries(2, timer->query); - } - MEM_freeN(DTP.timers); - DTP.timers = NULL; - } + if (DTP.timers != NULL) { + for (int i = 0; i < DTP.timer_count; ++i) { + DRWTimer *timer = &DTP.timers[i]; + glDeleteQueries(2, timer->query); + } + MEM_freeN(DTP.timers); + DTP.timers = NULL; + } } void DRW_stats_begin(void) { - if (G.debug_value > 20 && G.debug_value < 30) { - DTP.is_recording = true; - } - - if (DTP.is_recording && DTP.timers == NULL) { - DTP.chunk_count = 1; - DTP.timer_count = DTP.chunk_count * CHUNK_SIZE; - DTP.timers = MEM_callocN(sizeof(DRWTimer) * DTP.timer_count, "DRWTimer stack"); - } - else if (!DTP.is_recording && DTP.timers != NULL) { - DRW_stats_free(); - } - - DTP.is_querying = false; - DTP.timer_increment = 0; - DTP.end_increment = 0; + if (G.debug_value > 20 && G.debug_value < 30) { + DTP.is_recording = true; + } + + if (DTP.is_recording && DTP.timers == NULL) { + DTP.chunk_count = 1; + DTP.timer_count = DTP.chunk_count * CHUNK_SIZE; + DTP.timers = MEM_callocN(sizeof(DRWTimer) * DTP.timer_count, "DRWTimer stack"); + } + else if (!DTP.is_recording && DTP.timers != NULL) { + DRW_stats_free(); + } + + DTP.is_querying = false; + DTP.timer_increment = 0; + DTP.end_increment = 0; } static DRWTimer *drw_stats_timer_get(void) { - if (UNLIKELY(DTP.timer_increment >= DTP.timer_count)) { - /* Resize the stack. */ - DTP.chunk_count++; - DTP.timer_count = DTP.chunk_count * CHUNK_SIZE; - DTP.timers = MEM_recallocN(DTP.timers, sizeof(DRWTimer) * DTP.timer_count); - } - - return &DTP.timers[DTP.timer_increment++]; + if (UNLIKELY(DTP.timer_increment >= DTP.timer_count)) { + /* Resize the stack. */ + DTP.chunk_count++; + DTP.timer_count = DTP.chunk_count * CHUNK_SIZE; + DTP.timers = MEM_recallocN(DTP.timers, sizeof(DRWTimer) * DTP.timer_count); + } + + return &DTP.timers[DTP.timer_increment++]; } static void drw_stats_timer_start_ex(const char *name, const bool is_query) { - if (DTP.is_recording) { - DRWTimer *timer = drw_stats_timer_get(); - BLI_strncpy(timer->name, name, MAX_TIMER_NAME); - timer->lvl = DTP.timer_increment - DTP.end_increment - 1; - timer->is_query = is_query; - - /* Queries cannot be nested or interleaved. */ - BLI_assert(!DTP.is_querying); - if (timer->is_query) { - if (timer->query[0] == 0) { - glGenQueries(1, timer->query); - } - - glFinish(); - /* Issue query for the next frame */ - glBeginQuery(GL_TIME_ELAPSED, timer->query[0]); - DTP.is_querying = true; - } - } + if (DTP.is_recording) { + DRWTimer *timer = drw_stats_timer_get(); + BLI_strncpy(timer->name, name, MAX_TIMER_NAME); + timer->lvl = DTP.timer_increment - DTP.end_increment - 1; + timer->is_query = is_query; + + /* Queries cannot be nested or interleaved. */ + BLI_assert(!DTP.is_querying); + if (timer->is_query) { + if (timer->query[0] == 0) { + glGenQueries(1, timer->query); + } + + glFinish(); + /* Issue query for the next frame */ + glBeginQuery(GL_TIME_ELAPSED, timer->query[0]); + DTP.is_querying = true; + } + } } /* Use this to group the queries. It does NOT keep track * of the time, it only sum what the queries inside it. */ void DRW_stats_group_start(const char *name) { - drw_stats_timer_start_ex(name, false); + drw_stats_timer_start_ex(name, false); } void DRW_stats_group_end(void) { - if (DTP.is_recording) { - BLI_assert(!DTP.is_querying); - DTP.end_increment++; - } + if (DTP.is_recording) { + BLI_assert(!DTP.is_querying); + DTP.end_increment++; + } } /* NOTE: Only call this when no sub timer will be called. */ void DRW_stats_query_start(const char *name) { - drw_stats_timer_start_ex(name, true); + drw_stats_timer_start_ex(name, true); } void DRW_stats_query_end(void) { - if (DTP.is_recording) { - DTP.end_increment++; - BLI_assert(DTP.is_querying); - glEndQuery(GL_TIME_ELAPSED); - DTP.is_querying = false; - } + if (DTP.is_recording) { + DTP.end_increment++; + BLI_assert(DTP.is_querying); + glEndQuery(GL_TIME_ELAPSED); + DTP.is_querying = false; + } } void DRW_stats_reset(void) { - BLI_assert((DTP.timer_increment - DTP.end_increment) <= 0 && "You forgot a DRW_stats_group/query_end somewhere!"); - BLI_assert((DTP.timer_increment - DTP.end_increment) >= 0 && "You forgot a DRW_stats_group/query_start somewhere!"); - - if (DTP.is_recording) { - GLuint64 lvl_time[MAX_NESTED_TIMER] = {0}; - - /* Swap queries for the next frame and sum up each lvl time. */ - for (int i = DTP.timer_increment - 1; i >= 0; --i) { - DRWTimer *timer = &DTP.timers[i]; - SWAP(GLuint, timer->query[0], timer->query[1]); - - BLI_assert(timer->lvl < MAX_NESTED_TIMER); - - if (timer->is_query) { - GLuint64 time; - if (timer->query[0] != 0) { - glGetQueryObjectui64v(timer->query[0], GL_QUERY_RESULT, &time); - } - else { - time = 1000000000; /* 1ms default */ - } - - timer->time_average = timer->time_average * (1.0 - GPU_TIMER_FALLOFF) + time * GPU_TIMER_FALLOFF; - timer->time_average = MIN2(timer->time_average, 1000000000); - } - else { - timer->time_average = lvl_time[timer->lvl + 1]; - lvl_time[timer->lvl + 1] = 0; - } - - lvl_time[timer->lvl] += timer->time_average; - } - - DTP.is_recording = false; - } + BLI_assert((DTP.timer_increment - DTP.end_increment) <= 0 && + "You forgot a DRW_stats_group/query_end somewhere!"); + BLI_assert((DTP.timer_increment - DTP.end_increment) >= 0 && + "You forgot a DRW_stats_group/query_start somewhere!"); + + if (DTP.is_recording) { + GLuint64 lvl_time[MAX_NESTED_TIMER] = {0}; + + /* Swap queries for the next frame and sum up each lvl time. */ + for (int i = DTP.timer_increment - 1; i >= 0; --i) { + DRWTimer *timer = &DTP.timers[i]; + SWAP(GLuint, timer->query[0], timer->query[1]); + + BLI_assert(timer->lvl < MAX_NESTED_TIMER); + + if (timer->is_query) { + GLuint64 time; + if (timer->query[0] != 0) { + glGetQueryObjectui64v(timer->query[0], GL_QUERY_RESULT, &time); + } + else { + time = 1000000000; /* 1ms default */ + } + + timer->time_average = timer->time_average * (1.0 - GPU_TIMER_FALLOFF) + + time * GPU_TIMER_FALLOFF; + timer->time_average = MIN2(timer->time_average, 1000000000); + } + else { + timer->time_average = lvl_time[timer->lvl + 1]; + lvl_time[timer->lvl + 1] = 0; + } + + lvl_time[timer->lvl] += timer->time_average; + } + + DTP.is_recording = false; + } } static void draw_stat_5row(rcti *rect, int u, int v, const char *txt, const int size) { - BLF_draw_default_ascii(rect->xmin + (1 + u * 5) * U.widget_unit, - rect->ymax - (3 + v) * U.widget_unit, 0.0f, - txt, size); + BLF_draw_default_ascii(rect->xmin + (1 + u * 5) * U.widget_unit, + rect->ymax - (3 + v) * U.widget_unit, + 0.0f, + txt, + size); } static void draw_stat(rcti *rect, int u, int v, const char *txt, const int size) { - BLF_draw_default_ascii(rect->xmin + (1 + u) * U.widget_unit, - rect->ymax - (3 + v) * U.widget_unit, 0.0f, - txt, size); + BLF_draw_default_ascii( + rect->xmin + (1 + u) * U.widget_unit, rect->ymax - (3 + v) * U.widget_unit, 0.0f, txt, size); } void DRW_stats_draw(rcti *rect) { - char stat_string[64]; - int lvl_index[MAX_NESTED_TIMER]; - int v = 0, u = 0; - - double init_tot_time = 0.0, background_tot_time = 0.0, render_tot_time = 0.0, tot_time = 0.0; - - int fontid = BLF_default(); - UI_FontThemeColor(fontid, TH_TEXT_HI); - BLF_enable(fontid, BLF_SHADOW); - BLF_shadow(fontid, 5, (const float[4]){0.0f, 0.0f, 0.0f, 0.75f}); - BLF_shadow_offset(fontid, 0, -1); - - BLF_batch_draw_begin(); - - /* ------------------------------------------ */ - /* ---------------- CPU stats --------------- */ - /* ------------------------------------------ */ - /* Label row */ - char col_label[32]; - sprintf(col_label, "Engine"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(col_label, "Init"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(col_label, "Background"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(col_label, "Render"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(col_label, "Total (w/o cache)"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - v++; - - /* Engines rows */ - char time_to_txt[16]; - for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { - u = 0; - DrawEngineType *engine = link->data; - ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); - - draw_stat_5row(rect, u++, v, engine->idname, sizeof(engine->idname)); - - init_tot_time += data->init_time; - sprintf(time_to_txt, "%.2fms", data->init_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - - background_tot_time += data->background_time; - sprintf(time_to_txt, "%.2fms", data->background_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - - render_tot_time += data->render_time; - sprintf(time_to_txt, "%.2fms", data->render_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - - tot_time += data->init_time + data->background_time + data->render_time; - sprintf(time_to_txt, "%.2fms", data->init_time + data->background_time + data->render_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - v++; - } - - /* Totals row */ - u = 0; - sprintf(col_label, "Sub Total"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(time_to_txt, "%.2fms", init_tot_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - sprintf(time_to_txt, "%.2fms", background_tot_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - sprintf(time_to_txt, "%.2fms", render_tot_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - sprintf(time_to_txt, "%.2fms", tot_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - v += 2; - - u = 0; - double *cache_time = GPU_viewport_cache_time_get(DST.viewport); - sprintf(col_label, "Cache Time"); - draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); - sprintf(time_to_txt, "%.2fms", *cache_time); - draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); - v += 2; - - /* ------------------------------------------ */ - /* ---------------- GPU stats --------------- */ - /* ------------------------------------------ */ - - /* Memory Stats */ - uint tex_mem = GPU_texture_memory_usage_get(); - uint vbo_mem = GPU_vertbuf_get_memory_usage(); - - sprintf(stat_string, "GPU Memory"); - draw_stat(rect, 0, v, stat_string, sizeof(stat_string)); - sprintf(stat_string, "%.2fMB", (double)(tex_mem + vbo_mem) / 1000000.0); - draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); - sprintf(stat_string, "Textures"); - draw_stat(rect, 1, v, stat_string, sizeof(stat_string)); - sprintf(stat_string, "%.2fMB", (double)tex_mem / 1000000.0); - draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); - sprintf(stat_string, "Meshes"); - draw_stat(rect, 1, v, stat_string, sizeof(stat_string)); - sprintf(stat_string, "%.2fMB", (double)vbo_mem / 1000000.0); - draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); - v += 1; - - /* GPU Timings */ - BLI_strncpy(stat_string, "GPU Render Timings", sizeof(stat_string)); - draw_stat(rect, 0, v++, stat_string, sizeof(stat_string)); - - for (int i = 0; i < DTP.timer_increment; ++i) { - double time_ms, time_percent; - DRWTimer *timer = &DTP.timers[i]; - DRWTimer *timer_parent = (timer->lvl > 0) ? &DTP.timers[lvl_index[timer->lvl - 1]] : NULL; - - /* Only display a number of lvl at a time */ - if ((G.debug_value - 21) < timer->lvl) { - continue; - } - - BLI_assert(timer->lvl < MAX_NESTED_TIMER); - lvl_index[timer->lvl] = i; - - time_ms = timer->time_average / 1000000.0; - - if (timer_parent != NULL) { - time_percent = ((double)timer->time_average / (double)timer_parent->time_average) * 100.0; - } - else { - time_percent = 100.0; - } - - /* avoid very long number */ - time_ms = MIN2(time_ms, 999.0); - time_percent = MIN2(time_percent, 100.0); - - BLI_snprintf(stat_string, sizeof(stat_string), "%s", timer->name); - draw_stat(rect, 0 + timer->lvl, v, stat_string, sizeof(stat_string)); - BLI_snprintf(stat_string, sizeof(stat_string), "%.2fms", time_ms); - draw_stat(rect, 12 + timer->lvl, v, stat_string, sizeof(stat_string)); - BLI_snprintf(stat_string, sizeof(stat_string), "%.0f", time_percent); - draw_stat(rect, 16 + timer->lvl, v, stat_string, sizeof(stat_string)); - v++; - } - - BLF_batch_draw_end(); - BLF_disable(fontid, BLF_SHADOW); + char stat_string[64]; + int lvl_index[MAX_NESTED_TIMER]; + int v = 0, u = 0; + + double init_tot_time = 0.0, background_tot_time = 0.0, render_tot_time = 0.0, tot_time = 0.0; + + int fontid = BLF_default(); + UI_FontThemeColor(fontid, TH_TEXT_HI); + BLF_enable(fontid, BLF_SHADOW); + BLF_shadow(fontid, 5, (const float[4]){0.0f, 0.0f, 0.0f, 0.75f}); + BLF_shadow_offset(fontid, 0, -1); + + BLF_batch_draw_begin(); + + /* ------------------------------------------ */ + /* ---------------- CPU stats --------------- */ + /* ------------------------------------------ */ + /* Label row */ + char col_label[32]; + sprintf(col_label, "Engine"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(col_label, "Init"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(col_label, "Background"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(col_label, "Render"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(col_label, "Total (w/o cache)"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + v++; + + /* Engines rows */ + char time_to_txt[16]; + for (LinkData *link = DST.enabled_engines.first; link; link = link->next) { + u = 0; + DrawEngineType *engine = link->data; + ViewportEngineData *data = drw_viewport_engine_data_ensure(engine); + + draw_stat_5row(rect, u++, v, engine->idname, sizeof(engine->idname)); + + init_tot_time += data->init_time; + sprintf(time_to_txt, "%.2fms", data->init_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + + background_tot_time += data->background_time; + sprintf(time_to_txt, "%.2fms", data->background_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + + render_tot_time += data->render_time; + sprintf(time_to_txt, "%.2fms", data->render_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + + tot_time += data->init_time + data->background_time + data->render_time; + sprintf(time_to_txt, "%.2fms", data->init_time + data->background_time + data->render_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + v++; + } + + /* Totals row */ + u = 0; + sprintf(col_label, "Sub Total"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(time_to_txt, "%.2fms", init_tot_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + sprintf(time_to_txt, "%.2fms", background_tot_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + sprintf(time_to_txt, "%.2fms", render_tot_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + sprintf(time_to_txt, "%.2fms", tot_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + v += 2; + + u = 0; + double *cache_time = GPU_viewport_cache_time_get(DST.viewport); + sprintf(col_label, "Cache Time"); + draw_stat_5row(rect, u++, v, col_label, sizeof(col_label)); + sprintf(time_to_txt, "%.2fms", *cache_time); + draw_stat_5row(rect, u++, v, time_to_txt, sizeof(time_to_txt)); + v += 2; + + /* ------------------------------------------ */ + /* ---------------- GPU stats --------------- */ + /* ------------------------------------------ */ + + /* Memory Stats */ + uint tex_mem = GPU_texture_memory_usage_get(); + uint vbo_mem = GPU_vertbuf_get_memory_usage(); + + sprintf(stat_string, "GPU Memory"); + draw_stat(rect, 0, v, stat_string, sizeof(stat_string)); + sprintf(stat_string, "%.2fMB", (double)(tex_mem + vbo_mem) / 1000000.0); + draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); + sprintf(stat_string, "Textures"); + draw_stat(rect, 1, v, stat_string, sizeof(stat_string)); + sprintf(stat_string, "%.2fMB", (double)tex_mem / 1000000.0); + draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); + sprintf(stat_string, "Meshes"); + draw_stat(rect, 1, v, stat_string, sizeof(stat_string)); + sprintf(stat_string, "%.2fMB", (double)vbo_mem / 1000000.0); + draw_stat_5row(rect, 1, v++, stat_string, sizeof(stat_string)); + v += 1; + + /* GPU Timings */ + BLI_strncpy(stat_string, "GPU Render Timings", sizeof(stat_string)); + draw_stat(rect, 0, v++, stat_string, sizeof(stat_string)); + + for (int i = 0; i < DTP.timer_increment; ++i) { + double time_ms, time_percent; + DRWTimer *timer = &DTP.timers[i]; + DRWTimer *timer_parent = (timer->lvl > 0) ? &DTP.timers[lvl_index[timer->lvl - 1]] : NULL; + + /* Only display a number of lvl at a time */ + if ((G.debug_value - 21) < timer->lvl) { + continue; + } + + BLI_assert(timer->lvl < MAX_NESTED_TIMER); + lvl_index[timer->lvl] = i; + + time_ms = timer->time_average / 1000000.0; + + if (timer_parent != NULL) { + time_percent = ((double)timer->time_average / (double)timer_parent->time_average) * 100.0; + } + else { + time_percent = 100.0; + } + + /* avoid very long number */ + time_ms = MIN2(time_ms, 999.0); + time_percent = MIN2(time_percent, 100.0); + + BLI_snprintf(stat_string, sizeof(stat_string), "%s", timer->name); + draw_stat(rect, 0 + timer->lvl, v, stat_string, sizeof(stat_string)); + BLI_snprintf(stat_string, sizeof(stat_string), "%.2fms", time_ms); + draw_stat(rect, 12 + timer->lvl, v, stat_string, sizeof(stat_string)); + BLI_snprintf(stat_string, sizeof(stat_string), "%.0f", time_percent); + draw_stat(rect, 16 + timer->lvl, v, stat_string, sizeof(stat_string)); + v++; + } + + BLF_batch_draw_end(); + BLF_disable(fontid, BLF_SHADOW); } diff --git a/source/blender/draw/intern/draw_manager_shader.c b/source/blender/draw/intern/draw_manager_shader.c index 1fc6b61b87a..9cb3c1bf226 100644 --- a/source/blender/draw/intern/draw_manager_shader.c +++ b/source/blender/draw/intern/draw_manager_shader.c @@ -57,339 +57,395 @@ extern char datatoc_common_fullscreen_vert_glsl[]; * \{ */ typedef struct DRWDeferredShader { - struct DRWDeferredShader *prev, *next; + struct DRWDeferredShader *prev, *next; - GPUMaterial *mat; + GPUMaterial *mat; } DRWDeferredShader; typedef struct DRWShaderCompiler { - ListBase queue; /* DRWDeferredShader */ - SpinLock list_lock; + ListBase queue; /* DRWDeferredShader */ + SpinLock list_lock; - DRWDeferredShader *mat_compiling; - ThreadMutex compilation_lock; + DRWDeferredShader *mat_compiling; + ThreadMutex compilation_lock; - void *gl_context; - bool own_context; + void *gl_context; + bool own_context; - int shaders_done; /* To compute progress. */ + int shaders_done; /* To compute progress. */ } DRWShaderCompiler; static void drw_deferred_shader_free(DRWDeferredShader *dsh) { - /* Make sure it is not queued before freeing. */ - MEM_freeN(dsh); + /* Make sure it is not queued before freeing. */ + MEM_freeN(dsh); } static void drw_deferred_shader_queue_free(ListBase *queue) { - DRWDeferredShader *dsh; - while ((dsh = BLI_pophead(queue))) { - drw_deferred_shader_free(dsh); - } + DRWDeferredShader *dsh; + while ((dsh = BLI_pophead(queue))) { + drw_deferred_shader_free(dsh); + } } -static void drw_deferred_shader_compilation_exec(void *custom_data, short *stop, short *do_update, float *progress) +static void drw_deferred_shader_compilation_exec(void *custom_data, + short *stop, + short *do_update, + float *progress) { - DRWShaderCompiler *comp = (DRWShaderCompiler *)custom_data; - void *gl_context = comp->gl_context; + DRWShaderCompiler *comp = (DRWShaderCompiler *)custom_data; + void *gl_context = comp->gl_context; - WM_opengl_context_activate(gl_context); + WM_opengl_context_activate(gl_context); - while (true) { - BLI_spin_lock(&comp->list_lock); + while (true) { + BLI_spin_lock(&comp->list_lock); - if (*stop != 0) { - /* We don't want user to be able to cancel the compilation - * but wm can kill the task if we are closing blender. */ - BLI_spin_unlock(&comp->list_lock); - break; - } + if (*stop != 0) { + /* We don't want user to be able to cancel the compilation + * but wm can kill the task if we are closing blender. */ + BLI_spin_unlock(&comp->list_lock); + break; + } - /* Pop tail because it will be less likely to lock the main thread - * if all GPUMaterials are to be freed (see DRW_deferred_shader_remove()). */ - comp->mat_compiling = BLI_poptail(&comp->queue); - if (comp->mat_compiling == NULL) { - /* No more Shader to compile. */ - BLI_spin_unlock(&comp->list_lock); - break; - } + /* Pop tail because it will be less likely to lock the main thread + * if all GPUMaterials are to be freed (see DRW_deferred_shader_remove()). */ + comp->mat_compiling = BLI_poptail(&comp->queue); + if (comp->mat_compiling == NULL) { + /* No more Shader to compile. */ + BLI_spin_unlock(&comp->list_lock); + break; + } - comp->shaders_done++; - int total = BLI_listbase_count(&comp->queue) + comp->shaders_done; + comp->shaders_done++; + int total = BLI_listbase_count(&comp->queue) + comp->shaders_done; - BLI_mutex_lock(&comp->compilation_lock); - BLI_spin_unlock(&comp->list_lock); + BLI_mutex_lock(&comp->compilation_lock); + BLI_spin_unlock(&comp->list_lock); - /* Do the compilation. */ - GPU_material_compile(comp->mat_compiling->mat); + /* Do the compilation. */ + GPU_material_compile(comp->mat_compiling->mat); - *progress = (float)comp->shaders_done / (float)total; - *do_update = true; + *progress = (float)comp->shaders_done / (float)total; + *do_update = true; - GPU_flush(); - BLI_mutex_unlock(&comp->compilation_lock); + GPU_flush(); + BLI_mutex_unlock(&comp->compilation_lock); - BLI_spin_lock(&comp->list_lock); - drw_deferred_shader_free(comp->mat_compiling); - comp->mat_compiling = NULL; - BLI_spin_unlock(&comp->list_lock); - } + BLI_spin_lock(&comp->list_lock); + drw_deferred_shader_free(comp->mat_compiling); + comp->mat_compiling = NULL; + BLI_spin_unlock(&comp->list_lock); + } - WM_opengl_context_release(gl_context); + WM_opengl_context_release(gl_context); } static void drw_deferred_shader_compilation_free(void *custom_data) { - DRWShaderCompiler *comp = (DRWShaderCompiler *)custom_data; + DRWShaderCompiler *comp = (DRWShaderCompiler *)custom_data; - drw_deferred_shader_queue_free(&comp->queue); + drw_deferred_shader_queue_free(&comp->queue); - BLI_spin_end(&comp->list_lock); - BLI_mutex_end(&comp->compilation_lock); + BLI_spin_end(&comp->list_lock); + BLI_mutex_end(&comp->compilation_lock); - if (comp->own_context) { - /* Only destroy if the job owns the context. */ - WM_opengl_context_dispose(comp->gl_context); - } + if (comp->own_context) { + /* Only destroy if the job owns the context. */ + WM_opengl_context_dispose(comp->gl_context); + } - MEM_freeN(comp); + MEM_freeN(comp); } static void drw_deferred_shader_add(GPUMaterial *mat, bool deferred) { - /* Do not deferre the compilation if we are rendering for image. */ - if (DRW_state_is_image_render() || !USE_DEFERRED_COMPILATION || !deferred) { - /* Double checking that this GPUMaterial is not going to be - * compiled by another thread. */ - DRW_deferred_shader_remove(mat); - GPU_material_compile(mat); - return; - } - - DRWDeferredShader *dsh = MEM_callocN(sizeof(DRWDeferredShader), "Deferred Shader"); - - dsh->mat = mat; - - BLI_assert(DST.draw_ctx.evil_C); - wmWindowManager *wm = CTX_wm_manager(DST.draw_ctx.evil_C); - wmWindow *win = CTX_wm_window(DST.draw_ctx.evil_C); - - /* Use original scene ID since this is what the jobs template tests for. */ - Scene *scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); - - /* Get the running job or a new one if none is running. Can only have one job per type & owner. */ - wmJob *wm_job = WM_jobs_get(wm, win, scene, "Shaders Compilation", - WM_JOB_PROGRESS | WM_JOB_SUSPEND, WM_JOB_TYPE_SHADER_COMPILATION); - - DRWShaderCompiler *old_comp = (DRWShaderCompiler *)WM_jobs_customdata_get(wm_job); - - DRWShaderCompiler *comp = MEM_callocN(sizeof(DRWShaderCompiler), "DRWShaderCompiler"); - BLI_spin_init(&comp->list_lock); - BLI_mutex_init(&comp->compilation_lock); - - if (old_comp) { - BLI_spin_lock(&old_comp->list_lock); - BLI_movelisttolist(&comp->queue, &old_comp->queue); - BLI_spin_unlock(&old_comp->list_lock); - /* Do not recreate context, just pass ownership. */ - if (old_comp->gl_context) { - comp->gl_context = old_comp->gl_context; - old_comp->own_context = false; - comp->own_context = true; - } - } - - BLI_addtail(&comp->queue, dsh); - - /* Create only one context. */ - if (comp->gl_context == NULL) { - comp->gl_context = WM_opengl_context_create(); - WM_opengl_context_activate(DST.gl_context); - comp->own_context = true; - } - - WM_jobs_customdata_set(wm_job, comp, drw_deferred_shader_compilation_free); - WM_jobs_timer(wm_job, 0.1, NC_MATERIAL | ND_SHADING_DRAW, 0); - WM_jobs_callbacks(wm_job, drw_deferred_shader_compilation_exec, NULL, NULL, NULL); - WM_jobs_start(wm, wm_job); + /* Do not deferre the compilation if we are rendering for image. */ + if (DRW_state_is_image_render() || !USE_DEFERRED_COMPILATION || !deferred) { + /* Double checking that this GPUMaterial is not going to be + * compiled by another thread. */ + DRW_deferred_shader_remove(mat); + GPU_material_compile(mat); + return; + } + + DRWDeferredShader *dsh = MEM_callocN(sizeof(DRWDeferredShader), "Deferred Shader"); + + dsh->mat = mat; + + BLI_assert(DST.draw_ctx.evil_C); + wmWindowManager *wm = CTX_wm_manager(DST.draw_ctx.evil_C); + wmWindow *win = CTX_wm_window(DST.draw_ctx.evil_C); + + /* Use original scene ID since this is what the jobs template tests for. */ + Scene *scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); + + /* Get the running job or a new one if none is running. Can only have one job per type & owner. */ + wmJob *wm_job = WM_jobs_get(wm, + win, + scene, + "Shaders Compilation", + WM_JOB_PROGRESS | WM_JOB_SUSPEND, + WM_JOB_TYPE_SHADER_COMPILATION); + + DRWShaderCompiler *old_comp = (DRWShaderCompiler *)WM_jobs_customdata_get(wm_job); + + DRWShaderCompiler *comp = MEM_callocN(sizeof(DRWShaderCompiler), "DRWShaderCompiler"); + BLI_spin_init(&comp->list_lock); + BLI_mutex_init(&comp->compilation_lock); + + if (old_comp) { + BLI_spin_lock(&old_comp->list_lock); + BLI_movelisttolist(&comp->queue, &old_comp->queue); + BLI_spin_unlock(&old_comp->list_lock); + /* Do not recreate context, just pass ownership. */ + if (old_comp->gl_context) { + comp->gl_context = old_comp->gl_context; + old_comp->own_context = false; + comp->own_context = true; + } + } + + BLI_addtail(&comp->queue, dsh); + + /* Create only one context. */ + if (comp->gl_context == NULL) { + comp->gl_context = WM_opengl_context_create(); + WM_opengl_context_activate(DST.gl_context); + comp->own_context = true; + } + + WM_jobs_customdata_set(wm_job, comp, drw_deferred_shader_compilation_free); + WM_jobs_timer(wm_job, 0.1, NC_MATERIAL | ND_SHADING_DRAW, 0); + WM_jobs_callbacks(wm_job, drw_deferred_shader_compilation_exec, NULL, NULL, NULL); + WM_jobs_start(wm, wm_job); } void DRW_deferred_shader_remove(GPUMaterial *mat) { - Scene *scene = GPU_material_scene(mat); - - for (wmWindowManager *wm = G_MAIN->wm.first; wm; wm = wm->id.next) { - if (WM_jobs_test(wm, scene, WM_JOB_TYPE_SHADER_COMPILATION) == false) { - /* No job running, do not create a new one by calling WM_jobs_get. */ - continue; - } - for (wmWindow *win = wm->windows.first; win; win = win->next) { - wmJob *wm_job = WM_jobs_get(wm, win, scene, "Shaders Compilation", - WM_JOB_PROGRESS | WM_JOB_SUSPEND, WM_JOB_TYPE_SHADER_COMPILATION); - - DRWShaderCompiler *comp = (DRWShaderCompiler *)WM_jobs_customdata_get(wm_job); - if (comp != NULL) { - BLI_spin_lock(&comp->list_lock); - DRWDeferredShader *dsh; - dsh = (DRWDeferredShader *)BLI_findptr(&comp->queue, mat, offsetof(DRWDeferredShader, mat)); - if (dsh) { - BLI_remlink(&comp->queue, dsh); - } - - /* Wait for compilation to finish */ - if ((comp->mat_compiling != NULL) && (comp->mat_compiling->mat == mat)) { - BLI_mutex_lock(&comp->compilation_lock); - BLI_mutex_unlock(&comp->compilation_lock); - } - - BLI_spin_unlock(&comp->list_lock); - - if (dsh) { - drw_deferred_shader_free(dsh); - } - } - } - } + Scene *scene = GPU_material_scene(mat); + + for (wmWindowManager *wm = G_MAIN->wm.first; wm; wm = wm->id.next) { + if (WM_jobs_test(wm, scene, WM_JOB_TYPE_SHADER_COMPILATION) == false) { + /* No job running, do not create a new one by calling WM_jobs_get. */ + continue; + } + for (wmWindow *win = wm->windows.first; win; win = win->next) { + wmJob *wm_job = WM_jobs_get(wm, + win, + scene, + "Shaders Compilation", + WM_JOB_PROGRESS | WM_JOB_SUSPEND, + WM_JOB_TYPE_SHADER_COMPILATION); + + DRWShaderCompiler *comp = (DRWShaderCompiler *)WM_jobs_customdata_get(wm_job); + if (comp != NULL) { + BLI_spin_lock(&comp->list_lock); + DRWDeferredShader *dsh; + dsh = (DRWDeferredShader *)BLI_findptr( + &comp->queue, mat, offsetof(DRWDeferredShader, mat)); + if (dsh) { + BLI_remlink(&comp->queue, dsh); + } + + /* Wait for compilation to finish */ + if ((comp->mat_compiling != NULL) && (comp->mat_compiling->mat == mat)) { + BLI_mutex_lock(&comp->compilation_lock); + BLI_mutex_unlock(&comp->compilation_lock); + } + + BLI_spin_unlock(&comp->list_lock); + + if (dsh) { + drw_deferred_shader_free(dsh); + } + } + } + } } /** \} */ /* -------------------------------------------------------------------- */ -GPUShader *DRW_shader_create(const char *vert, const char *geom, const char *frag, const char *defines) +GPUShader *DRW_shader_create(const char *vert, + const char *geom, + const char *frag, + const char *defines) { - return GPU_shader_create(vert, frag, geom, NULL, defines, __func__); + return GPU_shader_create(vert, frag, geom, NULL, defines, __func__); } GPUShader *DRW_shader_create_with_lib( - const char *vert, const char *geom, const char *frag, const char *lib, const char *defines) + const char *vert, const char *geom, const char *frag, const char *lib, const char *defines) { - GPUShader *sh; - char *vert_with_lib = NULL; - char *frag_with_lib = NULL; - char *geom_with_lib = NULL; - - vert_with_lib = BLI_string_joinN(lib, vert); - frag_with_lib = BLI_string_joinN(lib, frag); - if (geom) { - geom_with_lib = BLI_string_joinN(lib, geom); - } - - sh = GPU_shader_create(vert_with_lib, frag_with_lib, geom_with_lib, NULL, defines, __func__); - - MEM_freeN(vert_with_lib); - MEM_freeN(frag_with_lib); - if (geom) { - MEM_freeN(geom_with_lib); - } - - return sh; + GPUShader *sh; + char *vert_with_lib = NULL; + char *frag_with_lib = NULL; + char *geom_with_lib = NULL; + + vert_with_lib = BLI_string_joinN(lib, vert); + frag_with_lib = BLI_string_joinN(lib, frag); + if (geom) { + geom_with_lib = BLI_string_joinN(lib, geom); + } + + sh = GPU_shader_create(vert_with_lib, frag_with_lib, geom_with_lib, NULL, defines, __func__); + + MEM_freeN(vert_with_lib); + MEM_freeN(frag_with_lib); + if (geom) { + MEM_freeN(geom_with_lib); + } + + return sh; } -GPUShader *DRW_shader_create_with_transform_feedback( - const char *vert, const char *geom, const char *defines, - const eGPUShaderTFBType prim_type, const char **varying_names, const int varying_count) +GPUShader *DRW_shader_create_with_transform_feedback(const char *vert, + const char *geom, + const char *defines, + const eGPUShaderTFBType prim_type, + const char **varying_names, + const int varying_count) { - return GPU_shader_create_ex(vert, - datatoc_gpu_shader_depth_only_frag_glsl, - geom, NULL, defines, - prim_type, varying_names, varying_count, __func__); + return GPU_shader_create_ex(vert, + datatoc_gpu_shader_depth_only_frag_glsl, + geom, + NULL, + defines, + prim_type, + varying_names, + varying_count, + __func__); } GPUShader *DRW_shader_create_2d(const char *frag, const char *defines) { - return GPU_shader_create(datatoc_gpu_shader_2D_vert_glsl, frag, NULL, NULL, defines, __func__); + return GPU_shader_create(datatoc_gpu_shader_2D_vert_glsl, frag, NULL, NULL, defines, __func__); } GPUShader *DRW_shader_create_3d(const char *frag, const char *defines) { - return GPU_shader_create(datatoc_gpu_shader_3D_vert_glsl, frag, NULL, NULL, defines, __func__); + return GPU_shader_create(datatoc_gpu_shader_3D_vert_glsl, frag, NULL, NULL, defines, __func__); } GPUShader *DRW_shader_create_fullscreen(const char *frag, const char *defines) { - return GPU_shader_create(datatoc_common_fullscreen_vert_glsl, frag, NULL, NULL, defines, __func__); + return GPU_shader_create( + datatoc_common_fullscreen_vert_glsl, frag, NULL, NULL, defines, __func__); } GPUShader *DRW_shader_create_3d_depth_only(eGPUShaderConfig sh_cfg) { - return GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_DEPTH_ONLY, sh_cfg); + return GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_DEPTH_ONLY, sh_cfg); } -GPUMaterial *DRW_shader_find_from_world(World *wo, const void *engine_type, int options, bool deferred) +GPUMaterial *DRW_shader_find_from_world(World *wo, + const void *engine_type, + int options, + bool deferred) { - GPUMaterial *mat = GPU_material_from_nodetree_find(&wo->gpumaterial, engine_type, options); - if (DRW_state_is_image_render() || !deferred) { - if (mat != NULL && GPU_material_status(mat) == GPU_MAT_QUEUED) { - /* XXX Hack : we return NULL so that the engine will call DRW_shader_create_from_XXX - * with the shader code and we will resume the compilation from there. */ - return NULL; - } - } - return mat; + GPUMaterial *mat = GPU_material_from_nodetree_find(&wo->gpumaterial, engine_type, options); + if (DRW_state_is_image_render() || !deferred) { + if (mat != NULL && GPU_material_status(mat) == GPU_MAT_QUEUED) { + /* XXX Hack : we return NULL so that the engine will call DRW_shader_create_from_XXX + * with the shader code and we will resume the compilation from there. */ + return NULL; + } + } + return mat; } -GPUMaterial *DRW_shader_find_from_material(Material *ma, const void *engine_type, int options, bool deferred) +GPUMaterial *DRW_shader_find_from_material(Material *ma, + const void *engine_type, + int options, + bool deferred) { - GPUMaterial *mat = GPU_material_from_nodetree_find(&ma->gpumaterial, engine_type, options); - if (DRW_state_is_image_render() || !deferred) { - if (mat != NULL && GPU_material_status(mat) == GPU_MAT_QUEUED) { - /* XXX Hack : we return NULL so that the engine will call DRW_shader_create_from_XXX - * with the shader code and we will resume the compilation from there. */ - return NULL; - } - } - return mat; + GPUMaterial *mat = GPU_material_from_nodetree_find(&ma->gpumaterial, engine_type, options); + if (DRW_state_is_image_render() || !deferred) { + if (mat != NULL && GPU_material_status(mat) == GPU_MAT_QUEUED) { + /* XXX Hack : we return NULL so that the engine will call DRW_shader_create_from_XXX + * with the shader code and we will resume the compilation from there. */ + return NULL; + } + } + return mat; } -GPUMaterial *DRW_shader_create_from_world( - struct Scene *scene, World *wo, const void *engine_type, int options, - const char *vert, const char *geom, const char *frag_lib, const char *defines, bool deferred) +GPUMaterial *DRW_shader_create_from_world(struct Scene *scene, + World *wo, + const void *engine_type, + int options, + const char *vert, + const char *geom, + const char *frag_lib, + const char *defines, + bool deferred) { - GPUMaterial *mat = NULL; - if (DRW_state_is_image_render()) { - mat = GPU_material_from_nodetree_find(&wo->gpumaterial, engine_type, options); - } - - if (mat == NULL) { - scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); - mat = GPU_material_from_nodetree( - scene, wo->nodetree, &wo->gpumaterial, engine_type, options, - vert, geom, frag_lib, defines, wo->id.name); - } - - if (GPU_material_status(mat) == GPU_MAT_QUEUED) { - drw_deferred_shader_add(mat, deferred); - } - - return mat; + GPUMaterial *mat = NULL; + if (DRW_state_is_image_render()) { + mat = GPU_material_from_nodetree_find(&wo->gpumaterial, engine_type, options); + } + + if (mat == NULL) { + scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); + mat = GPU_material_from_nodetree(scene, + wo->nodetree, + &wo->gpumaterial, + engine_type, + options, + vert, + geom, + frag_lib, + defines, + wo->id.name); + } + + if (GPU_material_status(mat) == GPU_MAT_QUEUED) { + drw_deferred_shader_add(mat, deferred); + } + + return mat; } -GPUMaterial *DRW_shader_create_from_material( - struct Scene *scene, Material *ma, const void *engine_type, int options, - const char *vert, const char *geom, const char *frag_lib, const char *defines, bool deferred) +GPUMaterial *DRW_shader_create_from_material(struct Scene *scene, + Material *ma, + const void *engine_type, + int options, + const char *vert, + const char *geom, + const char *frag_lib, + const char *defines, + bool deferred) { - GPUMaterial *mat = NULL; - if (DRW_state_is_image_render()) { - mat = GPU_material_from_nodetree_find(&ma->gpumaterial, engine_type, options); - } - - if (mat == NULL) { - scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); - mat = GPU_material_from_nodetree( - scene, ma->nodetree, &ma->gpumaterial, engine_type, options, - vert, geom, frag_lib, defines, ma->id.name); - } - - if (GPU_material_status(mat) == GPU_MAT_QUEUED) { - drw_deferred_shader_add(mat, deferred); - } - - return mat; + GPUMaterial *mat = NULL; + if (DRW_state_is_image_render()) { + mat = GPU_material_from_nodetree_find(&ma->gpumaterial, engine_type, options); + } + + if (mat == NULL) { + scene = (Scene *)DEG_get_original_id(&DST.draw_ctx.scene->id); + mat = GPU_material_from_nodetree(scene, + ma->nodetree, + &ma->gpumaterial, + engine_type, + options, + vert, + geom, + frag_lib, + defines, + ma->id.name); + } + + if (GPU_material_status(mat) == GPU_MAT_QUEUED) { + drw_deferred_shader_add(mat, deferred); + } + + return mat; } void DRW_shader_free(GPUShader *shader) { - GPU_shader_free(shader); + GPU_shader_free(shader); } diff --git a/source/blender/draw/intern/draw_manager_text.c b/source/blender/draw/intern/draw_manager_text.c index eff3688589c..6e06998f1cc 100644 --- a/source/blender/draw/intern/draw_manager_text.c +++ b/source/blender/draw/intern/draw_manager_text.c @@ -38,143 +38,143 @@ #include "draw_manager_text.h" typedef struct ViewCachedString { - float vec[3]; - union { - uchar ub[4]; - int pack; - } col; - short sco[2]; - short xoffs, yoffs; - short flag; - int str_len; - - /* str is allocated past the end */ - char str[0]; + float vec[3]; + union { + uchar ub[4]; + int pack; + } col; + short sco[2]; + short xoffs, yoffs; + short flag; + int str_len; + + /* str is allocated past the end */ + char str[0]; } ViewCachedString; typedef struct DRWTextStore { - BLI_memiter *cache_strings; + BLI_memiter *cache_strings; } DRWTextStore; DRWTextStore *DRW_text_cache_create(void) { - DRWTextStore *dt = MEM_callocN(sizeof(*dt), __func__); - dt->cache_strings = BLI_memiter_create(1 << 14); /* 16kb */ - return dt; + DRWTextStore *dt = MEM_callocN(sizeof(*dt), __func__); + dt->cache_strings = BLI_memiter_create(1 << 14); /* 16kb */ + return dt; } void DRW_text_cache_destroy(struct DRWTextStore *dt) { - BLI_memiter_destroy(dt->cache_strings); - MEM_freeN(dt); + BLI_memiter_destroy(dt->cache_strings); + MEM_freeN(dt); } -void DRW_text_cache_add( - DRWTextStore *dt, - const float co[3], - const char *str, const int str_len, - short xoffs, short yoffs, short flag, - const uchar col[4]) +void DRW_text_cache_add(DRWTextStore *dt, + const float co[3], + const char *str, + const int str_len, + short xoffs, + short yoffs, + short flag, + const uchar col[4]) { - int alloc_len; - ViewCachedString *vos; - - if (flag & DRW_TEXT_CACHE_STRING_PTR) { - BLI_assert(str_len == strlen(str)); - alloc_len = sizeof(void *); - } - else { - alloc_len = str_len + 1; - } - - vos = BLI_memiter_alloc(dt->cache_strings, sizeof(ViewCachedString) + alloc_len); - - copy_v3_v3(vos->vec, co); - copy_v4_v4_uchar(vos->col.ub, col); - vos->xoffs = xoffs; - vos->yoffs = yoffs; - vos->flag = flag; - vos->str_len = str_len; - - /* allocate past the end */ - if (flag & DRW_TEXT_CACHE_STRING_PTR) { - memcpy(vos->str, &str, alloc_len); - } - else { - memcpy(vos->str, str, alloc_len); - } + int alloc_len; + ViewCachedString *vos; + + if (flag & DRW_TEXT_CACHE_STRING_PTR) { + BLI_assert(str_len == strlen(str)); + alloc_len = sizeof(void *); + } + else { + alloc_len = str_len + 1; + } + + vos = BLI_memiter_alloc(dt->cache_strings, sizeof(ViewCachedString) + alloc_len); + + copy_v3_v3(vos->vec, co); + copy_v4_v4_uchar(vos->col.ub, col); + vos->xoffs = xoffs; + vos->yoffs = yoffs; + vos->flag = flag; + vos->str_len = str_len; + + /* allocate past the end */ + if (flag & DRW_TEXT_CACHE_STRING_PTR) { + memcpy(vos->str, &str, alloc_len); + } + else { + memcpy(vos->str, str, alloc_len); + } } void DRW_text_cache_draw(DRWTextStore *dt, ARegion *ar) { - RegionView3D *rv3d = ar->regiondata; - ViewCachedString *vos; - int tot = 0; - - /* project first and test */ - BLI_memiter_handle it; - BLI_memiter_iter_init(dt->cache_strings, &it); - while ((vos = BLI_memiter_iter_step(&it))) { - if (ED_view3d_project_short_ex( - ar, - (vos->flag & DRW_TEXT_CACHE_GLOBALSPACE) ? rv3d->persmat : rv3d->persmatob, - (vos->flag & DRW_TEXT_CACHE_LOCALCLIP) != 0, - vos->vec, vos->sco, - V3D_PROJ_TEST_CLIP_BB | V3D_PROJ_TEST_CLIP_WIN | V3D_PROJ_TEST_CLIP_NEAR) == V3D_PROJ_RET_OK) - { - tot++; - } - else { - vos->sco[0] = IS_CLIPPED; - } - } - - if (tot) { - int col_pack_prev = 0; - - if (rv3d->rflag & RV3D_CLIPPING) { - ED_view3d_clipping_disable(); - } - - float original_proj[4][4]; - GPU_matrix_projection_get(original_proj); - wmOrtho2_region_pixelspace(ar); - - GPU_matrix_push(); - GPU_matrix_identity_set(); - - const int font_id = BLF_default(); - - const uiStyle *style = UI_style_get(); - - BLF_size(font_id, style->widget.points * U.pixelsize, U.dpi); - - BLI_memiter_iter_init(dt->cache_strings, &it); - while ((vos = BLI_memiter_iter_step(&it))) { - if (vos->sco[0] != IS_CLIPPED) { - if (col_pack_prev != vos->col.pack) { - BLF_color4ubv(font_id, vos->col.ub); - col_pack_prev = vos->col.pack; - } - - BLF_position( - font_id, - (float)(vos->sco[0] + vos->xoffs), (float)(vos->sco[1] + vos->yoffs), 2.0f); - - ((vos->flag & DRW_TEXT_CACHE_ASCII) ? - BLF_draw_ascii : - BLF_draw - )(font_id, - (vos->flag & DRW_TEXT_CACHE_STRING_PTR) ? *((const char **)vos->str) : vos->str, - vos->str_len); - } - } - - GPU_matrix_pop(); - GPU_matrix_projection_set(original_proj); - - if (rv3d->rflag & RV3D_CLIPPING) { - ED_view3d_clipping_enable(); - } - } + RegionView3D *rv3d = ar->regiondata; + ViewCachedString *vos; + int tot = 0; + + /* project first and test */ + BLI_memiter_handle it; + BLI_memiter_iter_init(dt->cache_strings, &it); + while ((vos = BLI_memiter_iter_step(&it))) { + if (ED_view3d_project_short_ex( + ar, + (vos->flag & DRW_TEXT_CACHE_GLOBALSPACE) ? rv3d->persmat : rv3d->persmatob, + (vos->flag & DRW_TEXT_CACHE_LOCALCLIP) != 0, + vos->vec, + vos->sco, + V3D_PROJ_TEST_CLIP_BB | V3D_PROJ_TEST_CLIP_WIN | V3D_PROJ_TEST_CLIP_NEAR) == + V3D_PROJ_RET_OK) { + tot++; + } + else { + vos->sco[0] = IS_CLIPPED; + } + } + + if (tot) { + int col_pack_prev = 0; + + if (rv3d->rflag & RV3D_CLIPPING) { + ED_view3d_clipping_disable(); + } + + float original_proj[4][4]; + GPU_matrix_projection_get(original_proj); + wmOrtho2_region_pixelspace(ar); + + GPU_matrix_push(); + GPU_matrix_identity_set(); + + const int font_id = BLF_default(); + + const uiStyle *style = UI_style_get(); + + BLF_size(font_id, style->widget.points * U.pixelsize, U.dpi); + + BLI_memiter_iter_init(dt->cache_strings, &it); + while ((vos = BLI_memiter_iter_step(&it))) { + if (vos->sco[0] != IS_CLIPPED) { + if (col_pack_prev != vos->col.pack) { + BLF_color4ubv(font_id, vos->col.ub); + col_pack_prev = vos->col.pack; + } + + BLF_position( + font_id, (float)(vos->sco[0] + vos->xoffs), (float)(vos->sco[1] + vos->yoffs), 2.0f); + + ((vos->flag & DRW_TEXT_CACHE_ASCII) ? BLF_draw_ascii : BLF_draw)( + font_id, + (vos->flag & DRW_TEXT_CACHE_STRING_PTR) ? *((const char **)vos->str) : vos->str, + vos->str_len); + } + } + + GPU_matrix_pop(); + GPU_matrix_projection_set(original_proj); + + if (rv3d->rflag & RV3D_CLIPPING) { + ED_view3d_clipping_enable(); + } + } } diff --git a/source/blender/draw/intern/draw_manager_text.h b/source/blender/draw/intern/draw_manager_text.h index 308d569faa9..9f5dd1d4beb 100644 --- a/source/blender/draw/intern/draw_manager_text.h +++ b/source/blender/draw/intern/draw_manager_text.h @@ -28,21 +28,23 @@ struct DRWTextStore; struct DRWTextStore *DRW_text_cache_create(void); void DRW_text_cache_destroy(struct DRWTextStore *dt); -void DRW_text_cache_add( - struct DRWTextStore *dt, - const float co[3], - const char *str, const int str_len, - short xoffs, short yoffs, short flag, - const uchar col[4]); +void DRW_text_cache_add(struct DRWTextStore *dt, + const float co[3], + const char *str, + const int str_len, + short xoffs, + short yoffs, + short flag, + const uchar col[4]); void DRW_text_cache_draw(struct DRWTextStore *dt, struct ARegion *ar); enum { - DRW_TEXT_CACHE_ASCII = (1 << 0), - DRW_TEXT_CACHE_GLOBALSPACE = (1 << 1), - DRW_TEXT_CACHE_LOCALCLIP = (1 << 2), - /* reference the string by pointer */ - DRW_TEXT_CACHE_STRING_PTR = (1 << 3), + DRW_TEXT_CACHE_ASCII = (1 << 0), + DRW_TEXT_CACHE_GLOBALSPACE = (1 << 1), + DRW_TEXT_CACHE_LOCALCLIP = (1 << 2), + /* reference the string by pointer */ + DRW_TEXT_CACHE_STRING_PTR = (1 << 3), }; /* draw_manager.c */ diff --git a/source/blender/draw/intern/draw_manager_texture.c b/source/blender/draw/intern/draw_manager_texture.c index 92fca2d4f04..4750a35d784 100644 --- a/source/blender/draw/intern/draw_manager_texture.c +++ b/source/blender/draw/intern/draw_manager_texture.c @@ -26,126 +26,139 @@ /* Maybe gpu_texture.c is a better place for this. */ static bool drw_texture_format_supports_framebuffer(eGPUTextureFormat format) { - /* Some formats do not work with framebuffers. */ - switch (format) { - /* Only add formats that are COMPATIBLE with FB. - * Generally they are multiple of 16bit. */ - case GPU_R8: - case GPU_R8UI: - case GPU_R16F: - case GPU_R16I: - case GPU_R16UI: - case GPU_R16: - case GPU_R32F: - case GPU_R32UI: - case GPU_RG8: - case GPU_RG16: - case GPU_RG16F: - case GPU_RG16I: - case GPU_RG32F: - case GPU_R11F_G11F_B10F: - case GPU_RGBA8: - case GPU_RGBA16F: - case GPU_RGBA32F: - case GPU_DEPTH_COMPONENT16: - case GPU_DEPTH_COMPONENT24: - case GPU_DEPTH24_STENCIL8: - case GPU_DEPTH_COMPONENT32F: - return true; - default: - return false; - } + /* Some formats do not work with framebuffers. */ + switch (format) { + /* Only add formats that are COMPATIBLE with FB. + * Generally they are multiple of 16bit. */ + case GPU_R8: + case GPU_R8UI: + case GPU_R16F: + case GPU_R16I: + case GPU_R16UI: + case GPU_R16: + case GPU_R32F: + case GPU_R32UI: + case GPU_RG8: + case GPU_RG16: + case GPU_RG16F: + case GPU_RG16I: + case GPU_RG32F: + case GPU_R11F_G11F_B10F: + case GPU_RGBA8: + case GPU_RGBA16F: + case GPU_RGBA32F: + case GPU_DEPTH_COMPONENT16: + case GPU_DEPTH_COMPONENT24: + case GPU_DEPTH24_STENCIL8: + case GPU_DEPTH_COMPONENT32F: + return true; + default: + return false; + } } #endif void drw_texture_set_parameters(GPUTexture *tex, DRWTextureFlag flags) { - GPU_texture_bind(tex, 0); - if (flags & DRW_TEX_MIPMAP) { - GPU_texture_mipmap_mode(tex, true, flags & DRW_TEX_FILTER); - GPU_texture_generate_mipmap(tex); - } - else { - GPU_texture_filter_mode(tex, flags & DRW_TEX_FILTER); - } - GPU_texture_wrap_mode(tex, flags & DRW_TEX_WRAP); - GPU_texture_compare_mode(tex, flags & DRW_TEX_COMPARE); - GPU_texture_unbind(tex); + GPU_texture_bind(tex, 0); + if (flags & DRW_TEX_MIPMAP) { + GPU_texture_mipmap_mode(tex, true, flags & DRW_TEX_FILTER); + GPU_texture_generate_mipmap(tex); + } + else { + GPU_texture_filter_mode(tex, flags & DRW_TEX_FILTER); + } + GPU_texture_wrap_mode(tex, flags & DRW_TEX_WRAP); + GPU_texture_compare_mode(tex, flags & DRW_TEX_COMPARE); + GPU_texture_unbind(tex); } -GPUTexture *DRW_texture_create_1d(int w, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) +GPUTexture *DRW_texture_create_1d(int w, + eGPUTextureFormat format, + DRWTextureFlag flags, + const float *fpixels) { - GPUTexture *tex = GPU_texture_create_1d(w, format, fpixels, NULL); - drw_texture_set_parameters(tex, flags); + GPUTexture *tex = GPU_texture_create_1d(w, format, fpixels, NULL); + drw_texture_set_parameters(tex, flags); - return tex; + return tex; } -GPUTexture *DRW_texture_create_2d(int w, int h, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) +GPUTexture *DRW_texture_create_2d( + int w, int h, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) { - GPUTexture *tex = GPU_texture_create_2d(w, h, format, fpixels, NULL); - drw_texture_set_parameters(tex, flags); + GPUTexture *tex = GPU_texture_create_2d(w, h, format, fpixels, NULL); + drw_texture_set_parameters(tex, flags); - return tex; + return tex; } GPUTexture *DRW_texture_create_2d_array( - int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) + int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) { - GPUTexture *tex = GPU_texture_create_2d_array(w, h, d, format, fpixels, NULL); - drw_texture_set_parameters(tex, flags); + GPUTexture *tex = GPU_texture_create_2d_array(w, h, d, format, fpixels, NULL); + drw_texture_set_parameters(tex, flags); - return tex; + return tex; } GPUTexture *DRW_texture_create_3d( - int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) + int w, int h, int d, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) { - GPUTexture *tex = GPU_texture_create_3d(w, h, d, format, fpixels, NULL); - drw_texture_set_parameters(tex, flags); + GPUTexture *tex = GPU_texture_create_3d(w, h, d, format, fpixels, NULL); + drw_texture_set_parameters(tex, flags); - return tex; + return tex; } -GPUTexture *DRW_texture_create_cube(int w, eGPUTextureFormat format, DRWTextureFlag flags, const float *fpixels) +GPUTexture *DRW_texture_create_cube(int w, + eGPUTextureFormat format, + DRWTextureFlag flags, + const float *fpixels) { - GPUTexture *tex = GPU_texture_create_cube(w, format, fpixels, NULL); - drw_texture_set_parameters(tex, flags); + GPUTexture *tex = GPU_texture_create_cube(w, format, fpixels, NULL); + drw_texture_set_parameters(tex, flags); - return tex; + return tex; } -GPUTexture *DRW_texture_pool_query_2d(int w, int h, eGPUTextureFormat format, DrawEngineType *engine_type) +GPUTexture *DRW_texture_pool_query_2d(int w, + int h, + eGPUTextureFormat format, + DrawEngineType *engine_type) { - BLI_assert(drw_texture_format_supports_framebuffer(format)); - GPUTexture *tex = GPU_viewport_texture_pool_query(DST.viewport, engine_type, w, h, format); + BLI_assert(drw_texture_format_supports_framebuffer(format)); + GPUTexture *tex = GPU_viewport_texture_pool_query(DST.viewport, engine_type, w, h, format); - return tex; + return tex; } -void DRW_texture_ensure_fullscreen_2d(GPUTexture **tex, eGPUTextureFormat format, DRWTextureFlag flags) +void DRW_texture_ensure_fullscreen_2d(GPUTexture **tex, + eGPUTextureFormat format, + DRWTextureFlag flags) { - if (*(tex) == NULL) { - const float *size = DRW_viewport_size_get(); - *(tex) = DRW_texture_create_2d((int)size[0], (int)size[1], format, flags, NULL); - } + if (*(tex) == NULL) { + const float *size = DRW_viewport_size_get(); + *(tex) = DRW_texture_create_2d((int)size[0], (int)size[1], format, flags, NULL); + } } -void DRW_texture_ensure_2d(GPUTexture **tex, int w, int h, eGPUTextureFormat format, DRWTextureFlag flags) +void DRW_texture_ensure_2d( + GPUTexture **tex, int w, int h, eGPUTextureFormat format, DRWTextureFlag flags) { - if (*(tex) == NULL) { - *(tex) = DRW_texture_create_2d(w, h, format, flags, NULL); - } + if (*(tex) == NULL) { + *(tex) = DRW_texture_create_2d(w, h, format, flags, NULL); + } } void DRW_texture_generate_mipmaps(GPUTexture *tex) { - GPU_texture_bind(tex, 0); - GPU_texture_generate_mipmap(tex); - GPU_texture_unbind(tex); + GPU_texture_bind(tex, 0); + GPU_texture_generate_mipmap(tex); + GPU_texture_unbind(tex); } void DRW_texture_free(GPUTexture *tex) { - GPU_texture_free(tex); + GPU_texture_free(tex); } diff --git a/source/blender/draw/intern/draw_view.c b/source/blender/draw/intern/draw_view.c index b907452dad2..1543e381d8c 100644 --- a/source/blender/draw/intern/draw_view.c +++ b/source/blender/draw/intern/draw_view.c @@ -51,264 +51,263 @@ void DRW_draw_region_info(void) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ARegion *ar = draw_ctx->ar; + const DRWContextState *draw_ctx = DRW_context_state_get(); + ARegion *ar = draw_ctx->ar; - DRW_draw_cursor(); + DRW_draw_cursor(); - view3d_draw_region_info(draw_ctx->evil_C, ar); + view3d_draw_region_info(draw_ctx->evil_C, ar); } /* ************************* Background ************************** */ void DRW_draw_background(void) { - /* Just to make sure */ - glDepthMask(GL_TRUE); - glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); - glStencilMask(0xFF); + /* Just to make sure */ + glDepthMask(GL_TRUE); + glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); + glStencilMask(0xFF); - if (UI_GetThemeValue(TH_SHOW_BACK_GRAD)) { - float m[4][4]; - unit_m4(m); + if (UI_GetThemeValue(TH_SHOW_BACK_GRAD)) { + float m[4][4]; + unit_m4(m); - /* Gradient background Color */ - glDisable(GL_DEPTH_TEST); + /* Gradient background Color */ + glDisable(GL_DEPTH_TEST); - GPUVertFormat *format = immVertexFormat(); - uint pos = GPU_vertformat_attr_add(format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); - uint color = GPU_vertformat_attr_add(format, "color", GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); - uchar col_hi[3], col_lo[3]; + GPUVertFormat *format = immVertexFormat(); + uint pos = GPU_vertformat_attr_add(format, "pos", GPU_COMP_F32, 2, GPU_FETCH_FLOAT); + uint color = GPU_vertformat_attr_add( + format, "color", GPU_COMP_U8, 3, GPU_FETCH_INT_TO_FLOAT_UNIT); + uchar col_hi[3], col_lo[3]; - GPU_matrix_push(); - GPU_matrix_identity_set(); - GPU_matrix_projection_set(m); + GPU_matrix_push(); + GPU_matrix_identity_set(); + GPU_matrix_projection_set(m); - immBindBuiltinProgram(GPU_SHADER_2D_SMOOTH_COLOR_DITHER); + immBindBuiltinProgram(GPU_SHADER_2D_SMOOTH_COLOR_DITHER); - UI_GetThemeColor3ubv(TH_BACK_GRAD, col_lo); - UI_GetThemeColor3ubv(TH_BACK, col_hi); + UI_GetThemeColor3ubv(TH_BACK_GRAD, col_lo); + UI_GetThemeColor3ubv(TH_BACK, col_hi); - immBegin(GPU_PRIM_TRI_FAN, 4); - immAttr3ubv(color, col_lo); - immVertex2f(pos, -1.0f, -1.0f); - immVertex2f(pos, 1.0f, -1.0f); + immBegin(GPU_PRIM_TRI_FAN, 4); + immAttr3ubv(color, col_lo); + immVertex2f(pos, -1.0f, -1.0f); + immVertex2f(pos, 1.0f, -1.0f); - immAttr3ubv(color, col_hi); - immVertex2f(pos, 1.0f, 1.0f); - immVertex2f(pos, -1.0f, 1.0f); - immEnd(); + immAttr3ubv(color, col_hi); + immVertex2f(pos, 1.0f, 1.0f); + immVertex2f(pos, -1.0f, 1.0f); + immEnd(); - immUnbindProgram(); + immUnbindProgram(); - GPU_matrix_pop(); + GPU_matrix_pop(); - glClear(GL_DEPTH_BUFFER_BIT | GL_STENCIL_BUFFER_BIT); + glClear(GL_DEPTH_BUFFER_BIT | GL_STENCIL_BUFFER_BIT); - glEnable(GL_DEPTH_TEST); - } - else { - /* Solid background Color */ - UI_ThemeClearColorAlpha(TH_BACK, 1.0f); - glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT | GL_STENCIL_BUFFER_BIT); - } + glEnable(GL_DEPTH_TEST); + } + else { + /* Solid background Color */ + UI_ThemeClearColorAlpha(TH_BACK, 1.0f); + glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT | GL_STENCIL_BUFFER_BIT); + } } GPUBatch *DRW_draw_background_clipping_batch_from_rv3d(const RegionView3D *rv3d) { - const BoundBox *bb = rv3d->clipbb; - const uint clipping_index[6][4] = { - {0, 1, 2, 3}, - {0, 4, 5, 1}, - {4, 7, 6, 5}, - {7, 3, 2, 6}, - {1, 5, 6, 2}, - {7, 4, 0, 3}, - }; - GPUVertBuf *vbo; - GPUIndexBuf *el; - GPUIndexBufBuilder elb = {0}; - - /* Elements */ - GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, ARRAY_SIZE(clipping_index) * 2, ARRAY_SIZE(bb->vec)); - for (int i = 0; i < ARRAY_SIZE(clipping_index); i++) { - const uint *idx = clipping_index[i]; - GPU_indexbuf_add_tri_verts(&elb, idx[0], idx[1], idx[2]); - GPU_indexbuf_add_tri_verts(&elb, idx[0], idx[2], idx[3]); - } - el = GPU_indexbuf_build(&elb); - - GPUVertFormat format = {0}; - uint pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - - vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, ARRAY_SIZE(bb->vec)); - GPU_vertbuf_attr_fill(vbo, pos_id, bb->vec); - - return GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, el, GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); + const BoundBox *bb = rv3d->clipbb; + const uint clipping_index[6][4] = { + {0, 1, 2, 3}, + {0, 4, 5, 1}, + {4, 7, 6, 5}, + {7, 3, 2, 6}, + {1, 5, 6, 2}, + {7, 4, 0, 3}, + }; + GPUVertBuf *vbo; + GPUIndexBuf *el; + GPUIndexBufBuilder elb = {0}; + + /* Elements */ + GPU_indexbuf_init(&elb, GPU_PRIM_TRIS, ARRAY_SIZE(clipping_index) * 2, ARRAY_SIZE(bb->vec)); + for (int i = 0; i < ARRAY_SIZE(clipping_index); i++) { + const uint *idx = clipping_index[i]; + GPU_indexbuf_add_tri_verts(&elb, idx[0], idx[1], idx[2]); + GPU_indexbuf_add_tri_verts(&elb, idx[0], idx[2], idx[3]); + } + el = GPU_indexbuf_build(&elb); + + GPUVertFormat format = {0}; + uint pos_id = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + + vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, ARRAY_SIZE(bb->vec)); + GPU_vertbuf_attr_fill(vbo, pos_id, bb->vec); + + return GPU_batch_create_ex(GPU_PRIM_TRIS, vbo, el, GPU_BATCH_OWNS_VBO | GPU_BATCH_OWNS_INDEX); } - /* **************************** 3D Cursor ******************************** */ static bool is_cursor_visible(const DRWContextState *draw_ctx, Scene *scene, ViewLayer *view_layer) { - View3D *v3d = draw_ctx->v3d; - if ((v3d->flag2 & V3D_HIDE_OVERLAYS) || (v3d->overlay.flag & V3D_OVERLAY_HIDE_CURSOR)) { - return false; - } - - /* don't draw cursor in paint modes, but with a few exceptions */ - if (draw_ctx->object_mode & OB_MODE_ALL_PAINT) { - /* exception: object is in weight paint and has deforming armature in pose mode */ - if (draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) { - if (BKE_object_pose_armature_get(draw_ctx->obact) != NULL) { - return true; - } - } - /* exception: object in texture paint mode, clone brush, use_clone_layer disabled */ - else if (draw_ctx->object_mode & OB_MODE_TEXTURE_PAINT) { - const Paint *p = BKE_paint_get_active(scene, view_layer); - - if (p && p->brush && p->brush->imagepaint_tool == PAINT_TOOL_CLONE) { - if ((scene->toolsettings->imapaint.flag & IMAGEPAINT_PROJECT_LAYER_CLONE) == 0) { - return true; - } - } - } - - /* no exception met? then don't draw cursor! */ - return false; - } - else if (draw_ctx->object_mode & OB_MODE_WEIGHT_GPENCIL) { - /* grease pencil hide always in some modes */ - return false; - } - - return true; + View3D *v3d = draw_ctx->v3d; + if ((v3d->flag2 & V3D_HIDE_OVERLAYS) || (v3d->overlay.flag & V3D_OVERLAY_HIDE_CURSOR)) { + return false; + } + + /* don't draw cursor in paint modes, but with a few exceptions */ + if (draw_ctx->object_mode & OB_MODE_ALL_PAINT) { + /* exception: object is in weight paint and has deforming armature in pose mode */ + if (draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) { + if (BKE_object_pose_armature_get(draw_ctx->obact) != NULL) { + return true; + } + } + /* exception: object in texture paint mode, clone brush, use_clone_layer disabled */ + else if (draw_ctx->object_mode & OB_MODE_TEXTURE_PAINT) { + const Paint *p = BKE_paint_get_active(scene, view_layer); + + if (p && p->brush && p->brush->imagepaint_tool == PAINT_TOOL_CLONE) { + if ((scene->toolsettings->imapaint.flag & IMAGEPAINT_PROJECT_LAYER_CLONE) == 0) { + return true; + } + } + } + + /* no exception met? then don't draw cursor! */ + return false; + } + else if (draw_ctx->object_mode & OB_MODE_WEIGHT_GPENCIL) { + /* grease pencil hide always in some modes */ + return false; + } + + return true; } void DRW_draw_cursor(void) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ARegion *ar = draw_ctx->ar; - Scene *scene = draw_ctx->scene; - ViewLayer *view_layer = draw_ctx->view_layer; - - glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); - glDepthMask(GL_FALSE); - glDisable(GL_DEPTH_TEST); - - if (is_cursor_visible(draw_ctx, scene, view_layer)) { - int co[2]; - - /* Get cursor data into quaternion form */ - const View3DCursor *cursor = &scene->cursor; - - if (ED_view3d_project_int_global( - ar, cursor->location, co, V3D_PROJ_TEST_NOP | V3D_PROJ_TEST_CLIP_NEAR) == V3D_PROJ_RET_OK) - { - RegionView3D *rv3d = ar->regiondata; - - float cursor_quat[4]; - BKE_scene_cursor_rot_to_quat(cursor, cursor_quat); - - /* Draw nice Anti Aliased cursor. */ - GPU_line_width(1.0f); - GPU_blend(true); - GPU_line_smooth(true); - - float eps = 1e-5f; - rv3d->viewquat[0] = -rv3d->viewquat[0]; - bool is_aligned = compare_v4v4(cursor_quat, rv3d->viewquat, eps); - if (is_aligned == false) { - float tquat[4]; - rotation_between_quats_to_quat(tquat, rv3d->viewquat, cursor_quat); - is_aligned = tquat[0] - eps < -1.0f; - } - rv3d->viewquat[0] = -rv3d->viewquat[0]; - - /* Draw lines */ - if (is_aligned == false) { - uint pos = GPU_vertformat_attr_add(immVertexFormat(), "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - immBindBuiltinProgram(GPU_SHADER_3D_UNIFORM_COLOR); - immUniformThemeColor3(TH_VIEW_OVERLAY); - immBegin(GPU_PRIM_LINES, 12); - - const float scale = ED_view3d_pixel_size_no_ui_scale(rv3d, cursor->location) * U.widget_unit; + const DRWContextState *draw_ctx = DRW_context_state_get(); + ARegion *ar = draw_ctx->ar; + Scene *scene = draw_ctx->scene; + ViewLayer *view_layer = draw_ctx->view_layer; + + glColorMask(GL_TRUE, GL_TRUE, GL_TRUE, GL_TRUE); + glDepthMask(GL_FALSE); + glDisable(GL_DEPTH_TEST); + + if (is_cursor_visible(draw_ctx, scene, view_layer)) { + int co[2]; + + /* Get cursor data into quaternion form */ + const View3DCursor *cursor = &scene->cursor; + + if (ED_view3d_project_int_global( + ar, cursor->location, co, V3D_PROJ_TEST_NOP | V3D_PROJ_TEST_CLIP_NEAR) == + V3D_PROJ_RET_OK) { + RegionView3D *rv3d = ar->regiondata; + + float cursor_quat[4]; + BKE_scene_cursor_rot_to_quat(cursor, cursor_quat); + + /* Draw nice Anti Aliased cursor. */ + GPU_line_width(1.0f); + GPU_blend(true); + GPU_line_smooth(true); + + float eps = 1e-5f; + rv3d->viewquat[0] = -rv3d->viewquat[0]; + bool is_aligned = compare_v4v4(cursor_quat, rv3d->viewquat, eps); + if (is_aligned == false) { + float tquat[4]; + rotation_between_quats_to_quat(tquat, rv3d->viewquat, cursor_quat); + is_aligned = tquat[0] - eps < -1.0f; + } + rv3d->viewquat[0] = -rv3d->viewquat[0]; + + /* Draw lines */ + if (is_aligned == false) { + uint pos = GPU_vertformat_attr_add( + immVertexFormat(), "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + immBindBuiltinProgram(GPU_SHADER_3D_UNIFORM_COLOR); + immUniformThemeColor3(TH_VIEW_OVERLAY); + immBegin(GPU_PRIM_LINES, 12); + + const float scale = ED_view3d_pixel_size_no_ui_scale(rv3d, cursor->location) * + U.widget_unit; #define CURSOR_VERT(axis_vec, axis, fac) \ - immVertex3f( \ - pos, \ - cursor->location[0] + axis_vec[0] * (fac), \ - cursor->location[1] + axis_vec[1] * (fac), \ - cursor->location[2] + axis_vec[2] * (fac)) - -#define CURSOR_EDGE(axis_vec, axis, sign) { \ - CURSOR_VERT(axis_vec, axis, sign 1.0f); \ - CURSOR_VERT(axis_vec, axis, sign 0.25f); \ - } ((void)0) - - for (int axis = 0; axis < 3; axis++) { - float axis_vec[3] = {0}; - axis_vec[axis] = scale; - mul_qt_v3(cursor_quat, axis_vec); - CURSOR_EDGE(axis_vec, axis, +); - CURSOR_EDGE(axis_vec, axis, -); - } + immVertex3f(pos, \ + cursor->location[0] + axis_vec[0] * (fac), \ + cursor->location[1] + axis_vec[1] * (fac), \ + cursor->location[2] + axis_vec[2] * (fac)) + +#define CURSOR_EDGE(axis_vec, axis, sign) \ + { \ + CURSOR_VERT(axis_vec, axis, sign 1.0f); \ + CURSOR_VERT(axis_vec, axis, sign 0.25f); \ + } \ + ((void)0) + + for (int axis = 0; axis < 3; axis++) { + float axis_vec[3] = {0}; + axis_vec[axis] = scale; + mul_qt_v3(cursor_quat, axis_vec); + CURSOR_EDGE(axis_vec, axis, +); + CURSOR_EDGE(axis_vec, axis, -); + } #undef CURSOR_VERT #undef CURSOR_EDGE - immEnd(); - immUnbindProgram(); - } - - float original_proj[4][4]; - GPU_matrix_projection_get(original_proj); - GPU_matrix_push(); - ED_region_pixelspace(ar); - GPU_matrix_translate_2f(co[0] + 0.5f, co[1] + 0.5f); - GPU_matrix_scale_2f(U.widget_unit, U.widget_unit); - - GPUBatch *cursor_batch = DRW_cache_cursor_get(is_aligned); - GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_2D_FLAT_COLOR); - GPU_batch_program_set(cursor_batch, GPU_shader_get_program(shader), GPU_shader_get_interface(shader)); - - GPU_batch_draw(cursor_batch); - - GPU_blend(false); - GPU_line_smooth(false); - GPU_matrix_pop(); - GPU_matrix_projection_set(original_proj); - } - } + immEnd(); + immUnbindProgram(); + } + + float original_proj[4][4]; + GPU_matrix_projection_get(original_proj); + GPU_matrix_push(); + ED_region_pixelspace(ar); + GPU_matrix_translate_2f(co[0] + 0.5f, co[1] + 0.5f); + GPU_matrix_scale_2f(U.widget_unit, U.widget_unit); + + GPUBatch *cursor_batch = DRW_cache_cursor_get(is_aligned); + GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_2D_FLAT_COLOR); + GPU_batch_program_set( + cursor_batch, GPU_shader_get_program(shader), GPU_shader_get_interface(shader)); + + GPU_batch_draw(cursor_batch); + + GPU_blend(false); + GPU_line_smooth(false); + GPU_matrix_pop(); + GPU_matrix_projection_set(original_proj); + } + } } /* **************************** 3D Gizmo ******************************** */ void DRW_draw_gizmo_3d(void) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ARegion *ar = draw_ctx->ar; - - /* draw depth culled gizmos - gizmos need to be updated *after* view matrix was set up */ - /* TODO depth culling gizmos is not yet supported, just drawing _3D here, should - * later become _IN_SCENE (and draw _3D separate) */ - WM_gizmomap_draw( - ar->gizmo_map, draw_ctx->evil_C, - WM_GIZMOMAP_DRAWSTEP_3D); + const DRWContextState *draw_ctx = DRW_context_state_get(); + ARegion *ar = draw_ctx->ar; + /* draw depth culled gizmos - gizmos need to be updated *after* view matrix was set up */ + /* TODO depth culling gizmos is not yet supported, just drawing _3D here, should + * later become _IN_SCENE (and draw _3D separate) */ + WM_gizmomap_draw(ar->gizmo_map, draw_ctx->evil_C, WM_GIZMOMAP_DRAWSTEP_3D); } void DRW_draw_gizmo_2d(void) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - ARegion *ar = draw_ctx->ar; + const DRWContextState *draw_ctx = DRW_context_state_get(); + ARegion *ar = draw_ctx->ar; - WM_gizmomap_draw( - ar->gizmo_map, draw_ctx->evil_C, - WM_GIZMOMAP_DRAWSTEP_2D); + WM_gizmomap_draw(ar->gizmo_map, draw_ctx->evil_C, WM_GIZMOMAP_DRAWSTEP_2D); - glDepthMask(GL_TRUE); + glDepthMask(GL_TRUE); } diff --git a/source/blender/draw/modes/edit_armature_mode.c b/source/blender/draw/modes/edit_armature_mode.c index e2af2f10779..12bf4982ffb 100644 --- a/source/blender/draw/modes/edit_armature_mode.c +++ b/source/blender/draw/modes/edit_armature_mode.c @@ -33,169 +33,170 @@ /* *********** LISTS *********** */ typedef struct EDIT_ARMATURE_PassList { - struct DRWPass *bone_solid[2]; - struct DRWPass *bone_transp[2]; - struct DRWPass *bone_wire[2]; - struct DRWPass *bone_outline[2]; - struct DRWPass *bone_envelope[2]; - struct DRWPass *bone_axes; - struct DRWPass *relationship[2]; + struct DRWPass *bone_solid[2]; + struct DRWPass *bone_transp[2]; + struct DRWPass *bone_wire[2]; + struct DRWPass *bone_outline[2]; + struct DRWPass *bone_envelope[2]; + struct DRWPass *bone_axes; + struct DRWPass *relationship[2]; } EDIT_ARMATURE_PassList; typedef struct EDIT_ARMATURE_StorageList { - struct EDIT_ARMATURE_PrivateData *g_data; + struct EDIT_ARMATURE_PrivateData *g_data; } EDIT_ARMATURE_StorageList; typedef struct EDIT_ARMATURE_Data { - void *engine_type; - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - EDIT_ARMATURE_PassList *psl; - EDIT_ARMATURE_StorageList *stl; + void *engine_type; + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + EDIT_ARMATURE_PassList *psl; + EDIT_ARMATURE_StorageList *stl; } EDIT_ARMATURE_Data; /* *********** STATIC *********** */ typedef struct EDIT_ARMATURE_PrivateData { - bool transparent_bones; + bool transparent_bones; } EDIT_ARMATURE_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ static void EDIT_ARMATURE_cache_init(void *vedata) { - EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; - EDIT_ARMATURE_StorageList *stl = ((EDIT_ARMATURE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - stl->g_data->transparent_bones = (draw_ctx->v3d->shading.type == OB_WIRE); - - for (int i = 0; i < 2; ++i) { - /* Solid bones */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; - psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state | DRW_STATE_WRITE_DEPTH); - psl->bone_transp[i] = DRW_pass_create("Bone Transp Pass", state | DRW_STATE_BLEND); - - /* Bones Outline */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); - - /* Wire bones */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND; - psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); - - /* distance outline around envelope bones */ - state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_FRONT; - psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", state); - - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_BLEND | DRW_STATE_WIRE; - psl->relationship[i] = DRW_pass_create("Bone Relationship Pass", state); - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WIRE_SMOOTH | DRW_STATE_BLEND; - psl->bone_axes = DRW_pass_create("Bone Axes Pass", state); - } + EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; + EDIT_ARMATURE_StorageList *stl = ((EDIT_ARMATURE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + stl->g_data->transparent_bones = (draw_ctx->v3d->shading.type == OB_WIRE); + + for (int i = 0; i < 2; ++i) { + /* Solid bones */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; + psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state | DRW_STATE_WRITE_DEPTH); + psl->bone_transp[i] = DRW_pass_create("Bone Transp Pass", state | DRW_STATE_BLEND); + + /* Bones Outline */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); + + /* Wire bones */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND; + psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); + + /* distance outline around envelope bones */ + state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_FRONT; + psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", state); + + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND | DRW_STATE_WIRE; + psl->relationship[i] = DRW_pass_create("Bone Relationship Pass", state); + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WIRE_SMOOTH | DRW_STATE_BLEND; + psl->bone_axes = DRW_pass_create("Bone Axes Pass", state); + } } static void EDIT_ARMATURE_cache_populate(void *vedata, Object *ob) { - bArmature *arm = ob->data; - - if (ob->type == OB_ARMATURE) { - if (arm->edbo) { - EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; - EDIT_ARMATURE_StorageList *stl = ((EDIT_ARMATURE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - int ghost = (ob->dtx & OB_DRAWXRAY) ? 1 : 0; - bool transp = (stl->g_data->transparent_bones || (ob->dt <= OB_WIRE)) || XRAY_FLAG_ENABLED(draw_ctx->v3d); - - DRWArmaturePasses passes = { - .bone_solid = (transp) ? psl->bone_transp[ghost] : psl->bone_solid[ghost], - .bone_outline = psl->bone_outline[ghost], - .bone_wire = psl->bone_wire[ghost], - .bone_envelope = psl->bone_envelope[ghost], - .bone_axes = psl->bone_axes, - .relationship_lines = psl->relationship[ghost], - }; - DRW_shgroup_armature_edit(ob, passes, transp); - } - } + bArmature *arm = ob->data; + + if (ob->type == OB_ARMATURE) { + if (arm->edbo) { + EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; + EDIT_ARMATURE_StorageList *stl = ((EDIT_ARMATURE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + int ghost = (ob->dtx & OB_DRAWXRAY) ? 1 : 0; + bool transp = (stl->g_data->transparent_bones || (ob->dt <= OB_WIRE)) || + XRAY_FLAG_ENABLED(draw_ctx->v3d); + + DRWArmaturePasses passes = { + .bone_solid = (transp) ? psl->bone_transp[ghost] : psl->bone_solid[ghost], + .bone_outline = psl->bone_outline[ghost], + .bone_wire = psl->bone_wire[ghost], + .bone_envelope = psl->bone_envelope[ghost], + .bone_axes = psl->bone_axes, + .relationship_lines = psl->relationship[ghost], + }; + DRW_shgroup_armature_edit(ob, passes, transp); + } + } } static void EDIT_ARMATURE_draw_scene(void *vedata) { - EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - if (DRW_state_is_select()) { - DRW_draw_pass(psl->bone_outline[0]); - DRW_draw_pass(psl->bone_solid[0]); - DRW_draw_pass(psl->bone_wire[0]); - DRW_draw_pass(psl->bone_outline[1]); - DRW_draw_pass(psl->bone_solid[1]); - DRW_draw_pass(psl->bone_wire[1]); - return; - } - - DRW_draw_pass(psl->bone_envelope[0]); - - /* For performance reason, avoid blending on MS target. */ - DRW_draw_pass(psl->bone_transp[0]); - - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - - DRW_draw_pass(psl->bone_solid[0]); - DRW_draw_pass(psl->bone_outline[0]); - DRW_draw_pass(psl->bone_wire[0]); - DRW_draw_pass(psl->relationship[0]); - - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - - if (!DRW_pass_is_empty(psl->bone_envelope[1]) || - !DRW_pass_is_empty(psl->bone_solid[1]) || - !DRW_pass_is_empty(psl->bone_transp[1]) || - !DRW_pass_is_empty(psl->bone_outline[1]) || - !DRW_pass_is_empty(psl->bone_wire[1]) || - !DRW_pass_is_empty(psl->relationship[1])) - { - if (DRW_state_is_fbo()) { - GPU_framebuffer_bind(dfbl->default_fb); - GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); - } - - DRW_draw_pass(psl->bone_envelope[1]); - DRW_draw_pass(psl->bone_solid[1]); - DRW_draw_pass(psl->bone_transp[1]); - DRW_draw_pass(psl->bone_outline[1]); - DRW_draw_pass(psl->bone_wire[1]); - DRW_draw_pass(psl->relationship[1]); - } - - /* Draw axes with linesmooth and outside of multisample buffer. */ - DRW_draw_pass(psl->bone_axes); + EDIT_ARMATURE_PassList *psl = ((EDIT_ARMATURE_Data *)vedata)->psl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + if (DRW_state_is_select()) { + DRW_draw_pass(psl->bone_outline[0]); + DRW_draw_pass(psl->bone_solid[0]); + DRW_draw_pass(psl->bone_wire[0]); + DRW_draw_pass(psl->bone_outline[1]); + DRW_draw_pass(psl->bone_solid[1]); + DRW_draw_pass(psl->bone_wire[1]); + return; + } + + DRW_draw_pass(psl->bone_envelope[0]); + + /* For performance reason, avoid blending on MS target. */ + DRW_draw_pass(psl->bone_transp[0]); + + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + + DRW_draw_pass(psl->bone_solid[0]); + DRW_draw_pass(psl->bone_outline[0]); + DRW_draw_pass(psl->bone_wire[0]); + DRW_draw_pass(psl->relationship[0]); + + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + + if (!DRW_pass_is_empty(psl->bone_envelope[1]) || !DRW_pass_is_empty(psl->bone_solid[1]) || + !DRW_pass_is_empty(psl->bone_transp[1]) || !DRW_pass_is_empty(psl->bone_outline[1]) || + !DRW_pass_is_empty(psl->bone_wire[1]) || !DRW_pass_is_empty(psl->relationship[1])) { + if (DRW_state_is_fbo()) { + GPU_framebuffer_bind(dfbl->default_fb); + GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); + } + + DRW_draw_pass(psl->bone_envelope[1]); + DRW_draw_pass(psl->bone_solid[1]); + DRW_draw_pass(psl->bone_transp[1]); + DRW_draw_pass(psl->bone_outline[1]); + DRW_draw_pass(psl->bone_wire[1]); + DRW_draw_pass(psl->relationship[1]); + } + + /* Draw axes with linesmooth and outside of multisample buffer. */ + DRW_draw_pass(psl->bone_axes); } -static const DrawEngineDataSize EDIT_ARMATURE_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_ARMATURE_Data); +static const DrawEngineDataSize EDIT_ARMATURE_data_size = DRW_VIEWPORT_DATA_SIZE( + EDIT_ARMATURE_Data); DrawEngineType draw_engine_edit_armature_type = { - NULL, NULL, - N_("EditArmatureMode"), - &EDIT_ARMATURE_data_size, - NULL, - NULL, - &EDIT_ARMATURE_cache_init, - &EDIT_ARMATURE_cache_populate, - NULL, - NULL, - &EDIT_ARMATURE_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditArmatureMode"), + &EDIT_ARMATURE_data_size, + NULL, + NULL, + &EDIT_ARMATURE_cache_init, + &EDIT_ARMATURE_cache_populate, + NULL, + NULL, + &EDIT_ARMATURE_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/edit_curve_mode.c b/source/blender/draw/modes/edit_curve_mode.c index a1741c7e967..e47393c88c4 100644 --- a/source/blender/draw/modes/edit_curve_mode.c +++ b/source/blender/draw/modes/edit_curve_mode.c @@ -56,50 +56,49 @@ extern char datatoc_gpu_shader_uniform_color_frag_glsl[]; * for EDIT_CURVE_PassList */ typedef struct EDIT_CURVE_PassList { - struct DRWPass *wire_pass; - struct DRWPass *wire_pass_xray; - struct DRWPass *overlay_edge_pass; - struct DRWPass *overlay_vert_pass; + struct DRWPass *wire_pass; + struct DRWPass *wire_pass_xray; + struct DRWPass *overlay_edge_pass; + struct DRWPass *overlay_vert_pass; } EDIT_CURVE_PassList; typedef struct EDIT_CURVE_StorageList { - struct CustomStruct *block; - struct EDIT_CURVE_PrivateData *g_data; + struct CustomStruct *block; + struct EDIT_CURVE_PrivateData *g_data; } EDIT_CURVE_StorageList; typedef struct EDIT_CURVE_Data { - void *engine_type; /* Required */ - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - EDIT_CURVE_PassList *psl; - EDIT_CURVE_StorageList *stl; + void *engine_type; /* Required */ + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + EDIT_CURVE_PassList *psl; + EDIT_CURVE_StorageList *stl; } EDIT_CURVE_Data; /* *********** STATIC *********** */ - typedef struct EDIT_CURVE_Shaders { - GPUShader *wire_sh; - GPUShader *wire_normals_sh; - GPUShader *overlay_edge_sh; /* handles and nurbs control cage */ - GPUShader *overlay_vert_sh; + GPUShader *wire_sh; + GPUShader *wire_normals_sh; + GPUShader *overlay_edge_sh; /* handles and nurbs control cage */ + GPUShader *overlay_vert_sh; } EDIT_CURVE_Shaders; static struct { - EDIT_CURVE_Shaders sh_data[GPU_SHADER_CFG_LEN]; + EDIT_CURVE_Shaders sh_data[GPU_SHADER_CFG_LEN]; } e_data = {{{NULL}}}; /* Engine data */ typedef struct EDIT_CURVE_PrivateData { - /* resulting curve as 'wire' for curves (and optionally normals) */ - DRWShadingGroup *wire_shgrp; - DRWShadingGroup *wire_shgrp_xray; - DRWShadingGroup *wire_normals_shgrp; - DRWShadingGroup *wire_normals_shgrp_xray; + /* resulting curve as 'wire' for curves (and optionally normals) */ + DRWShadingGroup *wire_shgrp; + DRWShadingGroup *wire_shgrp_xray; + DRWShadingGroup *wire_normals_shgrp; + DRWShadingGroup *wire_normals_shgrp_xray; - DRWShadingGroup *overlay_edge_shgrp; - DRWShadingGroup *overlay_vert_shgrp; + DRWShadingGroup *overlay_edge_shgrp; + DRWShadingGroup *overlay_vert_shgrp; - int show_handles; + int show_handles; } EDIT_CURVE_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ @@ -109,223 +108,232 @@ typedef struct EDIT_CURVE_PrivateData { * (Optional) */ static void EDIT_CURVE_engine_init(void *UNUSED(vedata)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->wire_sh) { - sh_data->wire_sh = GPU_shader_get_builtin_shader_with_config( - GPU_SHADER_3D_UNIFORM_COLOR, draw_ctx->sh_cfg); - } - - if (!sh_data->wire_normals_sh) { - sh_data->wire_normals_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_curve_overlay_normals_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - if (!sh_data->overlay_edge_sh) { - sh_data->overlay_edge_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_curve_overlay_handle_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_edit_curve_overlay_handle_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - if (!sh_data->overlay_vert_sh) { - sh_data->overlay_vert_sh = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_edit_curve_overlay_loosevert_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->wire_sh) { + sh_data->wire_sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_UNIFORM_COLOR, + draw_ctx->sh_cfg); + } + + if (!sh_data->wire_normals_sh) { + sh_data->wire_normals_sh = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_edit_curve_overlay_normals_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + if (!sh_data->overlay_edge_sh) { + sh_data->overlay_edge_sh = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_edit_curve_overlay_handle_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_edit_curve_overlay_handle_geom_glsl, + NULL}, + .frag = (const char *[]){datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + if (!sh_data->overlay_vert_sh) { + sh_data->overlay_vert_sh = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_edit_curve_overlay_loosevert_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } } -static void EDIT_CURVE_wire_shgrp_create( - EDIT_CURVE_Shaders *sh_data, - const View3D *v3d, - const RegionView3D *rv3d, - DRWPass *pass, - DRWShadingGroup **wire_shgrp, - DRWShadingGroup **wire_normals_shgrp) +static void EDIT_CURVE_wire_shgrp_create(EDIT_CURVE_Shaders *sh_data, + const View3D *v3d, + const RegionView3D *rv3d, + DRWPass *pass, + DRWShadingGroup **wire_shgrp, + DRWShadingGroup **wire_normals_shgrp) { - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->wire_sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", G_draw.block.colorWireEdit, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - *wire_shgrp = grp; - - grp = DRW_shgroup_create(sh_data->wire_normals_sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", G_draw.block.colorWireEdit, 1); - DRW_shgroup_uniform_float_copy(grp, "normalSize", v3d->overlay.normals_length); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - *wire_normals_shgrp = grp; + DRWShadingGroup *grp = DRW_shgroup_create(sh_data->wire_sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", G_draw.block.colorWireEdit, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + *wire_shgrp = grp; + + grp = DRW_shgroup_create(sh_data->wire_normals_sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", G_draw.block.colorWireEdit, 1); + DRW_shgroup_uniform_float_copy(grp, "normalSize", v3d->overlay.normals_length); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + *wire_normals_shgrp = grp; } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void EDIT_CURVE_cache_init(void *vedata) { - EDIT_CURVE_PassList *psl = ((EDIT_CURVE_Data *)vedata)->psl; - EDIT_CURVE_StorageList *stl = ((EDIT_CURVE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - const RegionView3D *rv3d = draw_ctx->rv3d; - EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - - stl->g_data->show_handles = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CU_HANDLES) != 0; - - { - DRWShadingGroup *grp; - - /* Center-Line (wire) */ - psl->wire_pass = DRW_pass_create( - "Curve Wire", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); - EDIT_CURVE_wire_shgrp_create(sh_data, v3d, rv3d, psl->wire_pass, - &stl->g_data->wire_shgrp, - &stl->g_data->wire_normals_shgrp); - - psl->wire_pass_xray = DRW_pass_create( - "Curve Wire Xray", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_ALWAYS | DRW_STATE_WIRE); - EDIT_CURVE_wire_shgrp_create(sh_data, v3d, rv3d, psl->wire_pass_xray, - &stl->g_data->wire_shgrp_xray, - &stl->g_data->wire_normals_shgrp_xray); - - psl->overlay_edge_pass = DRW_pass_create( - "Curve Handle Overlay", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); - - grp = DRW_shgroup_create(sh_data->overlay_edge_sh, psl->overlay_edge_pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_bool(grp, "showCurveHandles", &stl->g_data->show_handles, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - stl->g_data->overlay_edge_shgrp = grp; - - - psl->overlay_vert_pass = DRW_pass_create( - "Curve Vert Overlay", - DRW_STATE_WRITE_COLOR | DRW_STATE_POINT); - - grp = DRW_shgroup_create(sh_data->overlay_vert_sh, psl->overlay_vert_pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - stl->g_data->overlay_vert_shgrp = grp; - } + EDIT_CURVE_PassList *psl = ((EDIT_CURVE_Data *)vedata)->psl; + EDIT_CURVE_StorageList *stl = ((EDIT_CURVE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + const RegionView3D *rv3d = draw_ctx->rv3d; + EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + + stl->g_data->show_handles = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CU_HANDLES) != 0; + + { + DRWShadingGroup *grp; + + /* Center-Line (wire) */ + psl->wire_pass = DRW_pass_create("Curve Wire", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); + EDIT_CURVE_wire_shgrp_create(sh_data, + v3d, + rv3d, + psl->wire_pass, + &stl->g_data->wire_shgrp, + &stl->g_data->wire_normals_shgrp); + + psl->wire_pass_xray = DRW_pass_create("Curve Wire Xray", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_ALWAYS | DRW_STATE_WIRE); + EDIT_CURVE_wire_shgrp_create(sh_data, + v3d, + rv3d, + psl->wire_pass_xray, + &stl->g_data->wire_shgrp_xray, + &stl->g_data->wire_normals_shgrp_xray); + + psl->overlay_edge_pass = DRW_pass_create("Curve Handle Overlay", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); + + grp = DRW_shgroup_create(sh_data->overlay_edge_sh, psl->overlay_edge_pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_bool(grp, "showCurveHandles", &stl->g_data->show_handles, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + stl->g_data->overlay_edge_shgrp = grp; + + psl->overlay_vert_pass = DRW_pass_create("Curve Vert Overlay", + DRW_STATE_WRITE_COLOR | DRW_STATE_POINT); + + grp = DRW_shgroup_create(sh_data->overlay_vert_sh, psl->overlay_vert_pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + stl->g_data->overlay_vert_shgrp = grp; + } } /* Add geometry to shadingGroups. Execute for each objects */ static void EDIT_CURVE_cache_populate(void *vedata, Object *ob) { - EDIT_CURVE_StorageList *stl = ((EDIT_CURVE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - if (ob->type == OB_CURVE) { - if (BKE_object_is_in_editmode(ob)) { - Curve *cu = ob->data; - /* Get geometry cache */ - struct GPUBatch *geom; - - DRWShadingGroup *wire_shgrp, *wire_normals_shgrp; - - if (ob->dtx & OB_DRAWXRAY) { - wire_shgrp = stl->g_data->wire_shgrp_xray; - wire_normals_shgrp = stl->g_data->wire_normals_shgrp_xray; - } - else { - wire_shgrp = stl->g_data->wire_shgrp; - wire_normals_shgrp = stl->g_data->wire_normals_shgrp; - } - - geom = DRW_cache_curve_edge_wire_get(ob); - DRW_shgroup_call_add(wire_shgrp, geom, ob->obmat); - - if ((cu->flag & CU_3D) && (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CU_NORMALS) != 0) { - static uint instance_len = 2; - geom = DRW_cache_curve_edge_normal_get(ob); - DRW_shgroup_call_instances_add(wire_normals_shgrp, geom, ob->obmat, &instance_len); - } - - geom = DRW_cache_curve_edge_overlay_get(ob); - if (geom) { - DRW_shgroup_call_add(stl->g_data->overlay_edge_shgrp, geom, ob->obmat); - } - - geom = DRW_cache_curve_vert_overlay_get(ob, stl->g_data->show_handles); - DRW_shgroup_call_add(stl->g_data->overlay_vert_shgrp, geom, ob->obmat); - } - } - - if (ob->type == OB_SURF) { - if (BKE_object_is_in_editmode(ob)) { - struct GPUBatch *geom = DRW_cache_curve_edge_overlay_get(ob); - DRW_shgroup_call_add(stl->g_data->overlay_edge_shgrp, geom, ob->obmat); - - geom = DRW_cache_curve_vert_overlay_get(ob, false); - DRW_shgroup_call_add(stl->g_data->overlay_vert_shgrp, geom, ob->obmat); - } - } + EDIT_CURVE_StorageList *stl = ((EDIT_CURVE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + if (ob->type == OB_CURVE) { + if (BKE_object_is_in_editmode(ob)) { + Curve *cu = ob->data; + /* Get geometry cache */ + struct GPUBatch *geom; + + DRWShadingGroup *wire_shgrp, *wire_normals_shgrp; + + if (ob->dtx & OB_DRAWXRAY) { + wire_shgrp = stl->g_data->wire_shgrp_xray; + wire_normals_shgrp = stl->g_data->wire_normals_shgrp_xray; + } + else { + wire_shgrp = stl->g_data->wire_shgrp; + wire_normals_shgrp = stl->g_data->wire_normals_shgrp; + } + + geom = DRW_cache_curve_edge_wire_get(ob); + DRW_shgroup_call_add(wire_shgrp, geom, ob->obmat); + + if ((cu->flag & CU_3D) && (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CU_NORMALS) != 0) { + static uint instance_len = 2; + geom = DRW_cache_curve_edge_normal_get(ob); + DRW_shgroup_call_instances_add(wire_normals_shgrp, geom, ob->obmat, &instance_len); + } + + geom = DRW_cache_curve_edge_overlay_get(ob); + if (geom) { + DRW_shgroup_call_add(stl->g_data->overlay_edge_shgrp, geom, ob->obmat); + } + + geom = DRW_cache_curve_vert_overlay_get(ob, stl->g_data->show_handles); + DRW_shgroup_call_add(stl->g_data->overlay_vert_shgrp, geom, ob->obmat); + } + } + + if (ob->type == OB_SURF) { + if (BKE_object_is_in_editmode(ob)) { + struct GPUBatch *geom = DRW_cache_curve_edge_overlay_get(ob); + DRW_shgroup_call_add(stl->g_data->overlay_edge_shgrp, geom, ob->obmat); + + geom = DRW_cache_curve_vert_overlay_get(ob, false); + DRW_shgroup_call_add(stl->g_data->overlay_vert_shgrp, geom, ob->obmat); + } + } } /* Draw time ! Control rendering pipeline from here */ static void EDIT_CURVE_draw_scene(void *vedata) { - EDIT_CURVE_PassList *psl = ((EDIT_CURVE_Data *)vedata)->psl; + EDIT_CURVE_PassList *psl = ((EDIT_CURVE_Data *)vedata)->psl; - /* Default framebuffer and texture */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* Default framebuffer and texture */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - if (!DRW_pass_is_empty(psl->wire_pass)) { - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + if (!DRW_pass_is_empty(psl->wire_pass)) { + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - DRW_draw_pass(psl->wire_pass); + DRW_draw_pass(psl->wire_pass); - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - } + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + } - /* Unfortunately this pass cannot be AA'd without - * MULTISAMPLE_SYNC_DISABLE_NO_DEPTH. While it's - * quite unlikely to happen to multi-edit curves - * with a mix of xray enabled/disabled we still - * support this case. */ - if (!DRW_pass_is_empty(psl->wire_pass_xray)) { - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + /* Unfortunately this pass cannot be AA'd without + * MULTISAMPLE_SYNC_DISABLE_NO_DEPTH. While it's + * quite unlikely to happen to multi-edit curves + * with a mix of xray enabled/disabled we still + * support this case. */ + if (!DRW_pass_is_empty(psl->wire_pass_xray)) { + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - DRW_draw_pass(psl->wire_pass_xray); + DRW_draw_pass(psl->wire_pass_xray); - MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl); - } + MULTISAMPLE_SYNC_DISABLE_NO_DEPTH(dfbl, dtxl); + } - /* Thoses passes don't write to depth and are AA'ed using other tricks. */ - DRW_draw_pass(psl->overlay_edge_pass); - DRW_draw_pass(psl->overlay_vert_pass); + /* Thoses passes don't write to depth and are AA'ed using other tricks. */ + DRW_draw_pass(psl->overlay_edge_pass); + DRW_draw_pass(psl->overlay_vert_pass); - DRW_state_clip_planes_reset(); + DRW_state_clip_planes_reset(); } /* Cleanup when destroying the engine. @@ -333,30 +341,31 @@ static void EDIT_CURVE_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void EDIT_CURVE_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - /* Don't free builtins. */ - sh_data->wire_sh = NULL; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(EDIT_CURVE_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + EDIT_CURVE_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + /* Don't free builtins. */ + sh_data->wire_sh = NULL; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(EDIT_CURVE_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } static const DrawEngineDataSize EDIT_CURVE_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_CURVE_Data); DrawEngineType draw_engine_edit_curve_type = { - NULL, NULL, - N_("EditCurveMode"), - &EDIT_CURVE_data_size, - &EDIT_CURVE_engine_init, - &EDIT_CURVE_engine_free, - &EDIT_CURVE_cache_init, - &EDIT_CURVE_cache_populate, - NULL, - NULL, /* draw_background but not needed by mode engines */ - &EDIT_CURVE_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditCurveMode"), + &EDIT_CURVE_data_size, + &EDIT_CURVE_engine_init, + &EDIT_CURVE_engine_free, + &EDIT_CURVE_cache_init, + &EDIT_CURVE_cache_populate, + NULL, + NULL, /* draw_background but not needed by mode engines */ + &EDIT_CURVE_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/edit_lattice_mode.c b/source/blender/draw/modes/edit_lattice_mode.c index 3db167fc1fd..273480b8127 100644 --- a/source/blender/draw/modes/edit_lattice_mode.c +++ b/source/blender/draw/modes/edit_lattice_mode.c @@ -44,68 +44,68 @@ extern char datatoc_edit_lattice_overlay_frag_glsl[]; * for EDIT_LATTICE_PassList */ typedef struct EDIT_LATTICE_PassList { - /* Declare all passes here and init them in - * EDIT_LATTICE_cache_init(). - * Only contains (DRWPass *) */ - struct DRWPass *wire_pass; - struct DRWPass *vert_pass; + /* Declare all passes here and init them in + * EDIT_LATTICE_cache_init(). + * Only contains (DRWPass *) */ + struct DRWPass *wire_pass; + struct DRWPass *vert_pass; } EDIT_LATTICE_PassList; typedef struct EDIT_LATTICE_FramebufferList { - /* Contains all framebuffer objects needed by this engine. - * Only contains (GPUFrameBuffer *) */ - struct GPUFrameBuffer *fb; + /* Contains all framebuffer objects needed by this engine. + * Only contains (GPUFrameBuffer *) */ + struct GPUFrameBuffer *fb; } EDIT_LATTICE_FramebufferList; typedef struct EDIT_LATTICE_TextureList { - /* Contains all framebuffer textures / utility textures - * needed by this engine. Only viewport specific textures - * (not per object). Only contains (GPUTexture *) */ - struct GPUTexture *texture; + /* Contains all framebuffer textures / utility textures + * needed by this engine. Only viewport specific textures + * (not per object). Only contains (GPUTexture *) */ + struct GPUTexture *texture; } EDIT_LATTICE_TextureList; typedef struct EDIT_LATTICE_StorageList { - /* Contains any other memory block that the engine needs. - * Only directly MEM_(m/c)allocN'ed blocks because they are - * free with MEM_freeN() when viewport is freed. - * (not per object) */ - struct CustomStruct *block; - struct EDIT_LATTICE_PrivateData *g_data; + /* Contains any other memory block that the engine needs. + * Only directly MEM_(m/c)allocN'ed blocks because they are + * free with MEM_freeN() when viewport is freed. + * (not per object) */ + struct CustomStruct *block; + struct EDIT_LATTICE_PrivateData *g_data; } EDIT_LATTICE_StorageList; typedef struct EDIT_LATTICE_Data { - /* Struct returned by DRW_viewport_engine_data_ensure. - * If you don't use one of these, just make it a (void *) */ - // void *fbl; - void *engine_type; /* Required */ - EDIT_LATTICE_FramebufferList *fbl; - EDIT_LATTICE_TextureList *txl; - EDIT_LATTICE_PassList *psl; - EDIT_LATTICE_StorageList *stl; + /* Struct returned by DRW_viewport_engine_data_ensure. + * If you don't use one of these, just make it a (void *) */ + // void *fbl; + void *engine_type; /* Required */ + EDIT_LATTICE_FramebufferList *fbl; + EDIT_LATTICE_TextureList *txl; + EDIT_LATTICE_PassList *psl; + EDIT_LATTICE_StorageList *stl; } EDIT_LATTICE_Data; typedef struct EDIT_LATTICE_Shaders { - GPUShader *wire; - GPUShader *overlay_vert; + GPUShader *wire; + GPUShader *overlay_vert; } EDIT_LATTICE_Shaders; /* *********** STATIC *********** */ static struct { - /* Custom shaders : - * Add sources to source/blender/draw/modes/shaders - * init in EDIT_LATTICE_engine_init(); - * free in EDIT_LATTICE_engine_free(); */ + /* Custom shaders : + * Add sources to source/blender/draw/modes/shaders + * init in EDIT_LATTICE_engine_init(); + * free in EDIT_LATTICE_engine_free(); */ - EDIT_LATTICE_Shaders sh_data[GPU_SHADER_CFG_LEN]; + EDIT_LATTICE_Shaders sh_data[GPU_SHADER_CFG_LEN]; } e_data = {{{NULL}}}; /* Engine data */ typedef struct EDIT_LATTICE_PrivateData { - /* This keeps the references of the shading groups for - * easy access in EDIT_LATTICE_cache_populate() */ - DRWShadingGroup *wire_shgrp; - DRWShadingGroup *vert_shgrp; + /* This keeps the references of the shading groups for + * easy access in EDIT_LATTICE_cache_populate() */ + DRWShadingGroup *wire_shgrp; + DRWShadingGroup *vert_shgrp; } EDIT_LATTICE_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ @@ -115,157 +115,152 @@ typedef struct EDIT_LATTICE_PrivateData { * (Optional) */ static void EDIT_LATTICE_engine_init(void *vedata) { - EDIT_LATTICE_TextureList *txl = ((EDIT_LATTICE_Data *)vedata)->txl; - EDIT_LATTICE_FramebufferList *fbl = ((EDIT_LATTICE_Data *)vedata)->fbl; - EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; - - UNUSED_VARS(txl, fbl, stl); - - /* Init Framebuffers like this: order is attachment order (for color texs) */ - /* - * DRWFboTexture tex[2] = {{&txl->depth, GPU_DEPTH_COMPONENT24, 0}, - * {&txl->color, GPU_RGBA8, DRW_TEX_FILTER}}; - */ - - /* DRW_framebuffer_init takes care of checking if - * the framebuffer is valid and has the right size*/ - /* - * float *viewport_size = DRW_viewport_size_get(); - * DRW_framebuffer_init(&fbl->occlude_wire_fb, - * (int)viewport_size[0], (int)viewport_size[1], - * tex, 2); - */ - - const DRWContextState *draw_ctx = DRW_context_state_get(); - EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->wire) { - sh_data->wire = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_SMOOTH_COLOR, draw_ctx->sh_cfg); - } - - if (!sh_data->overlay_vert) { - sh_data->overlay_vert = GPU_shader_create_from_arrays({ - .vert = (const char *[]){ - sh_cfg_data->lib, - datatoc_common_globals_lib_glsl, - datatoc_edit_lattice_overlay_loosevert_vert_glsl, - NULL}, - .frag = (const char *[]){ - datatoc_common_globals_lib_glsl, - datatoc_edit_lattice_overlay_frag_glsl, - NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - } + EDIT_LATTICE_TextureList *txl = ((EDIT_LATTICE_Data *)vedata)->txl; + EDIT_LATTICE_FramebufferList *fbl = ((EDIT_LATTICE_Data *)vedata)->fbl; + EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; + + UNUSED_VARS(txl, fbl, stl); + + /* Init Framebuffers like this: order is attachment order (for color texs) */ + /* + * DRWFboTexture tex[2] = {{&txl->depth, GPU_DEPTH_COMPONENT24, 0}, + * {&txl->color, GPU_RGBA8, DRW_TEX_FILTER}}; + */ + + /* DRW_framebuffer_init takes care of checking if + * the framebuffer is valid and has the right size*/ + /* + * float *viewport_size = DRW_viewport_size_get(); + * DRW_framebuffer_init(&fbl->occlude_wire_fb, + * (int)viewport_size[0], (int)viewport_size[1], + * tex, 2); + */ + + const DRWContextState *draw_ctx = DRW_context_state_get(); + EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->wire) { + sh_data->wire = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_SMOOTH_COLOR, + draw_ctx->sh_cfg); + } + + if (!sh_data->overlay_vert) { + sh_data->overlay_vert = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_edit_lattice_overlay_loosevert_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_common_globals_lib_glsl, + datatoc_edit_lattice_overlay_frag_glsl, + NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void EDIT_LATTICE_cache_init(void *vedata) { - EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; - EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - RegionView3D *rv3d = draw_ctx->rv3d; - EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - { - psl->wire_pass = DRW_pass_create( - "Lattice Wire", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); - stl->g_data->wire_shgrp = DRW_shgroup_create(sh_data->wire, psl->wire_pass); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->wire_shgrp, rv3d); - } - - psl->vert_pass = DRW_pass_create( - "Lattice Verts", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_POINT); - stl->g_data->vert_shgrp = DRW_shgroup_create(sh_data->overlay_vert, psl->vert_pass); - DRW_shgroup_uniform_block(stl->g_data->vert_shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->vert_shgrp, rv3d); - } - - - } + EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; + EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + RegionView3D *rv3d = draw_ctx->rv3d; + EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + { + psl->wire_pass = DRW_pass_create("Lattice Wire", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); + stl->g_data->wire_shgrp = DRW_shgroup_create(sh_data->wire, psl->wire_pass); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->wire_shgrp, rv3d); + } + + psl->vert_pass = DRW_pass_create( + "Lattice Verts", DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_POINT); + stl->g_data->vert_shgrp = DRW_shgroup_create(sh_data->overlay_vert, psl->vert_pass); + DRW_shgroup_uniform_block(stl->g_data->vert_shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->vert_shgrp, rv3d); + } + } } /* Add geometry to shadingGroups. Execute for each objects */ static void EDIT_LATTICE_cache_populate(void *vedata, Object *ob) { - EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; - EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); + EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; + EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); - UNUSED_VARS(psl); + UNUSED_VARS(psl); - if (ob->type == OB_LATTICE) { - if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { - /* Get geometry cache */ - struct GPUBatch *geom; + if (ob->type == OB_LATTICE) { + if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { + /* Get geometry cache */ + struct GPUBatch *geom; - geom = DRW_cache_lattice_wire_get(ob, true); - DRW_shgroup_call_add(stl->g_data->wire_shgrp, geom, ob->obmat); + geom = DRW_cache_lattice_wire_get(ob, true); + DRW_shgroup_call_add(stl->g_data->wire_shgrp, geom, ob->obmat); - geom = DRW_cache_lattice_vert_overlay_get(ob); - DRW_shgroup_call_add(stl->g_data->vert_shgrp, geom, ob->obmat); - } - } + geom = DRW_cache_lattice_vert_overlay_get(ob); + DRW_shgroup_call_add(stl->g_data->vert_shgrp, geom, ob->obmat); + } + } } /* Optional: Post-cache_populate callback */ static void EDIT_LATTICE_cache_finish(void *vedata) { - EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; - EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; + EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; + EDIT_LATTICE_StorageList *stl = ((EDIT_LATTICE_Data *)vedata)->stl; - /* Do something here! dependent on the objects gathered */ - UNUSED_VARS(psl, stl); + /* Do something here! dependent on the objects gathered */ + UNUSED_VARS(psl, stl); } /* Draw time ! Control rendering pipeline from here */ static void EDIT_LATTICE_draw_scene(void *vedata) { - EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; - EDIT_LATTICE_FramebufferList *fbl = ((EDIT_LATTICE_Data *)vedata)->fbl; + EDIT_LATTICE_PassList *psl = ((EDIT_LATTICE_Data *)vedata)->psl; + EDIT_LATTICE_FramebufferList *fbl = ((EDIT_LATTICE_Data *)vedata)->fbl; - /* Default framebuffer and texture */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* Default framebuffer and texture */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - UNUSED_VARS(fbl); + UNUSED_VARS(fbl); - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ - /* - * DRW_framebuffer_texture_detach(dtxl->depth); - * DRW_framebuffer_bind(fbl->custom_fb); - * DRW_draw_pass(psl->pass); - * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); - * DRW_framebuffer_bind(dfbl->default_fb); - */ + /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ + /* + * DRW_framebuffer_texture_detach(dtxl->depth); + * DRW_framebuffer_bind(fbl->custom_fb); + * DRW_draw_pass(psl->pass); + * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); + * DRW_framebuffer_bind(dfbl->default_fb); + */ - /* ... or just render passes on default framebuffer. */ - DRW_draw_pass(psl->wire_pass); - DRW_draw_pass(psl->vert_pass); + /* ... or just render passes on default framebuffer. */ + DRW_draw_pass(psl->wire_pass); + DRW_draw_pass(psl->vert_pass); - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - /* If you changed framebuffer, double check you rebind - * the default one with its textures attached before finishing */ + /* If you changed framebuffer, double check you rebind + * the default one with its textures attached before finishing */ } /* Cleanup when destroying the engine. @@ -273,31 +268,31 @@ static void EDIT_LATTICE_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void EDIT_LATTICE_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - /* Don't free builtins. */ - sh_data->wire = NULL; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(EDIT_LATTICE_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } - + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + EDIT_LATTICE_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + /* Don't free builtins. */ + sh_data->wire = NULL; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(EDIT_LATTICE_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } static const DrawEngineDataSize EDIT_LATTICE_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_LATTICE_Data); DrawEngineType draw_engine_edit_lattice_type = { - NULL, NULL, - N_("EditLatticeMode"), - &EDIT_LATTICE_data_size, - &EDIT_LATTICE_engine_init, - &EDIT_LATTICE_engine_free, - &EDIT_LATTICE_cache_init, - &EDIT_LATTICE_cache_populate, - &EDIT_LATTICE_cache_finish, - NULL, /* draw_background but not needed by mode engines */ - &EDIT_LATTICE_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditLatticeMode"), + &EDIT_LATTICE_data_size, + &EDIT_LATTICE_engine_init, + &EDIT_LATTICE_engine_free, + &EDIT_LATTICE_cache_init, + &EDIT_LATTICE_cache_populate, + &EDIT_LATTICE_cache_finish, + NULL, /* draw_background but not needed by mode engines */ + &EDIT_LATTICE_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/edit_mesh_mode.c b/source/blender/draw/modes/edit_mesh_mode.c index dedf7eac00a..b3b6acf9b7d 100644 --- a/source/blender/draw/modes/edit_mesh_mode.c +++ b/source/blender/draw/modes/edit_mesh_mode.c @@ -66,298 +66,316 @@ extern char datatoc_gpu_shader_point_varying_color_frag_glsl[]; /* *********** LISTS *********** */ typedef struct EDIT_MESH_PassList { - struct DRWPass *weight_faces; - struct DRWPass *depth_hidden_wire; - struct DRWPass *depth_hidden_wire_in_front; - struct DRWPass *edit_face_overlay; - struct DRWPass *edit_face_overlay_in_front; - struct DRWPass *edit_face_in_front; - struct DRWPass *edit_face_occluded; - struct DRWPass *mix_occlude; - struct DRWPass *facefill_occlude; - struct DRWPass *normals; + struct DRWPass *weight_faces; + struct DRWPass *depth_hidden_wire; + struct DRWPass *depth_hidden_wire_in_front; + struct DRWPass *edit_face_overlay; + struct DRWPass *edit_face_overlay_in_front; + struct DRWPass *edit_face_in_front; + struct DRWPass *edit_face_occluded; + struct DRWPass *mix_occlude; + struct DRWPass *facefill_occlude; + struct DRWPass *normals; } EDIT_MESH_PassList; typedef struct EDIT_MESH_FramebufferList { - struct GPUFrameBuffer *occlude_wire_fb; - struct GPUFrameBuffer *ghost_wire_fb; + struct GPUFrameBuffer *occlude_wire_fb; + struct GPUFrameBuffer *ghost_wire_fb; } EDIT_MESH_FramebufferList; typedef struct EDIT_MESH_StorageList { - struct EDIT_MESH_PrivateData *g_data; + struct EDIT_MESH_PrivateData *g_data; } EDIT_MESH_StorageList; typedef struct EDIT_MESH_Data { - void *engine_type; - EDIT_MESH_FramebufferList *fbl; - DRWViewportEmptyList *txl; - EDIT_MESH_PassList *psl; - EDIT_MESH_StorageList *stl; + void *engine_type; + EDIT_MESH_FramebufferList *fbl; + DRWViewportEmptyList *txl; + EDIT_MESH_PassList *psl; + EDIT_MESH_StorageList *stl; } EDIT_MESH_Data; #define MAX_SHADERS 16 /** Can only contain shaders (freed as array). */ typedef struct EDIT_MESH_Shaders { - /* weight */ - GPUShader *weight_face; - - /* Geometry */ - GPUShader *overlay_vert; - GPUShader *overlay_edge; - GPUShader *overlay_edge_flat; - GPUShader *overlay_face; - GPUShader *overlay_facedot; - - GPUShader *overlay_mix; - GPUShader *overlay_facefill; - GPUShader *normals_face; - GPUShader *normals_loop; - GPUShader *normals; - GPUShader *depth; + /* weight */ + GPUShader *weight_face; + + /* Geometry */ + GPUShader *overlay_vert; + GPUShader *overlay_edge; + GPUShader *overlay_edge_flat; + GPUShader *overlay_face; + GPUShader *overlay_facedot; + + GPUShader *overlay_mix; + GPUShader *overlay_facefill; + GPUShader *normals_face; + GPUShader *normals_loop; + GPUShader *normals; + GPUShader *depth; } EDIT_MESH_Shaders; /* *********** STATIC *********** */ static struct { - EDIT_MESH_Shaders sh_data[GPU_SHADER_CFG_LEN]; + EDIT_MESH_Shaders sh_data[GPU_SHADER_CFG_LEN]; - /* temp buffer texture */ - struct GPUTexture *occlude_wire_depth_tx; - struct GPUTexture *occlude_wire_color_tx; + /* temp buffer texture */ + struct GPUTexture *occlude_wire_depth_tx; + struct GPUTexture *occlude_wire_color_tx; } e_data = {{{NULL}}}; /* Engine data */ typedef struct EDIT_MESH_PrivateData { - /* weight */ - DRWShadingGroup *fweights_shgrp; - DRWShadingGroup *depth_shgrp_hidden_wire; - DRWShadingGroup *depth_shgrp_hidden_wire_in_front; - - DRWShadingGroup *fnormals_shgrp; - DRWShadingGroup *vnormals_shgrp; - DRWShadingGroup *lnormals_shgrp; - - DRWShadingGroup *vert_shgrp; - DRWShadingGroup *edge_shgrp; - DRWShadingGroup *face_shgrp; - DRWShadingGroup *face_cage_shgrp; - DRWShadingGroup *facedot_shgrp; - - DRWShadingGroup *vert_shgrp_in_front; - DRWShadingGroup *edge_shgrp_in_front; - DRWShadingGroup *face_shgrp_in_front; - DRWShadingGroup *face_cage_shgrp_in_front; - DRWShadingGroup *facedot_shgrp_in_front; - - DRWShadingGroup *facefill_occluded_shgrp; - - int data_mask[4]; - int ghost_ob; - int edit_ob; - bool do_zbufclip; - bool do_faces; - bool do_edges; + /* weight */ + DRWShadingGroup *fweights_shgrp; + DRWShadingGroup *depth_shgrp_hidden_wire; + DRWShadingGroup *depth_shgrp_hidden_wire_in_front; + + DRWShadingGroup *fnormals_shgrp; + DRWShadingGroup *vnormals_shgrp; + DRWShadingGroup *lnormals_shgrp; + + DRWShadingGroup *vert_shgrp; + DRWShadingGroup *edge_shgrp; + DRWShadingGroup *face_shgrp; + DRWShadingGroup *face_cage_shgrp; + DRWShadingGroup *facedot_shgrp; + + DRWShadingGroup *vert_shgrp_in_front; + DRWShadingGroup *edge_shgrp_in_front; + DRWShadingGroup *face_shgrp_in_front; + DRWShadingGroup *face_cage_shgrp_in_front; + DRWShadingGroup *facedot_shgrp_in_front; + + DRWShadingGroup *facefill_occluded_shgrp; + + int data_mask[4]; + int ghost_ob; + int edit_ob; + bool do_zbufclip; + bool do_faces; + bool do_edges; } EDIT_MESH_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ - static void EDIT_MESH_engine_init(void *vedata) { - EDIT_MESH_FramebufferList *fbl = ((EDIT_MESH_Data *)vedata)->fbl; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - e_data.occlude_wire_depth_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_edit_mesh_type); - e_data.occlude_wire_color_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_RGBA8, - &draw_engine_edit_mesh_type); - - GPU_framebuffer_ensure_config(&fbl->occlude_wire_fb, { - GPU_ATTACHMENT_TEXTURE(e_data.occlude_wire_depth_tx), - GPU_ATTACHMENT_TEXTURE(e_data.occlude_wire_color_tx) - }); - - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->weight_face) { - sh_data->weight_face = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_paint_weight_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_common_globals_lib_glsl, datatoc_paint_weight_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - char *lib = BLI_string_joinN(sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_edit_mesh_overlay_common_lib_glsl); - /* Use geometry shader to draw edge wireframe. This ensure us - * the same result accross platforms and more flexibility. But - * we pay the cost of running a geometry shader. - * In the future we might consider using only the vertex shader - * and loading data manually with buffer textures. */ - const bool use_geom_shader = true; - const char *geom_sh_code[] = {lib, datatoc_edit_mesh_overlay_geom_glsl, NULL}; - if (!use_geom_shader) { - geom_sh_code[0] = NULL; - } - const char *use_geom_def = use_geom_shader ? "#define USE_GEOM_SHADER\n" : ""; - const char *use_smooth_def = (U.gpu_flag & USER_GPU_FLAG_NO_EDIT_MODE_SMOOTH_WIRE) ? "" : "#define USE_SMOOTH_WIRE\n"; - sh_data->overlay_face = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define FACE\n", NULL}, - }); - sh_data->overlay_edge = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, - .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, use_geom_def, use_smooth_def, "#define EDGE\n", NULL}, - .geom = (use_geom_shader) ? geom_sh_code : NULL, - }); - sh_data->overlay_edge_flat = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, - .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, use_geom_def, use_smooth_def, "#define EDGE\n", "#define FLAT\n", NULL}, - .geom = (use_geom_shader) ? geom_sh_code : NULL, - }); - sh_data->overlay_vert = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define VERT\n", NULL}, - }); - sh_data->overlay_facedot = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define FACEDOT\n", NULL}, - }); - sh_data->overlay_facefill = GPU_shader_create_from_arrays({ - .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_facefill_vert_glsl, NULL}, - .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_facefill_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - MEM_freeN(lib); - - sh_data->overlay_mix = DRW_shader_create_fullscreen(datatoc_edit_mesh_overlay_mix_frag_glsl, NULL); - - sh_data->normals_face = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define FACE_NORMALS\n", NULL}, - }); - - sh_data->normals_loop = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define LOOP_NORMALS\n", NULL}, - }); - - sh_data->normals = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - sh_data->depth = DRW_shader_create_3d_depth_only(draw_ctx->sh_cfg); - } + EDIT_MESH_FramebufferList *fbl = ((EDIT_MESH_Data *)vedata)->fbl; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + e_data.occlude_wire_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_edit_mesh_type); + e_data.occlude_wire_color_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA8, &draw_engine_edit_mesh_type); + + GPU_framebuffer_ensure_config(&fbl->occlude_wire_fb, + {GPU_ATTACHMENT_TEXTURE(e_data.occlude_wire_depth_tx), + GPU_ATTACHMENT_TEXTURE(e_data.occlude_wire_color_tx)}); + + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->weight_face) { + sh_data->weight_face = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_paint_weight_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_common_globals_lib_glsl, + datatoc_paint_weight_frag_glsl, + NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + + char *lib = BLI_string_joinN(sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_edit_mesh_overlay_common_lib_glsl); + /* Use geometry shader to draw edge wireframe. This ensure us + * the same result accross platforms and more flexibility. But + * we pay the cost of running a geometry shader. + * In the future we might consider using only the vertex shader + * and loading data manually with buffer textures. */ + const bool use_geom_shader = true; + const char *geom_sh_code[] = {lib, datatoc_edit_mesh_overlay_geom_glsl, NULL}; + if (!use_geom_shader) { + geom_sh_code[0] = NULL; + } + const char *use_geom_def = use_geom_shader ? "#define USE_GEOM_SHADER\n" : ""; + const char *use_smooth_def = (U.gpu_flag & USER_GPU_FLAG_NO_EDIT_MODE_SMOOTH_WIRE) ? + "" : + "#define USE_SMOOTH_WIRE\n"; + sh_data->overlay_face = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define FACE\n", NULL}, + }); + sh_data->overlay_edge = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, + .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_frag_glsl, NULL}, + .defs = (const char + *[]){sh_cfg_data->def, use_geom_def, use_smooth_def, "#define EDGE\n", NULL}, + .geom = (use_geom_shader) ? geom_sh_code : NULL, + }); + sh_data->overlay_edge_flat = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, + .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, + use_geom_def, + use_smooth_def, + "#define EDGE\n", + "#define FLAT\n", + NULL}, + .geom = (use_geom_shader) ? geom_sh_code : NULL, + }); + sh_data->overlay_vert = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define VERT\n", NULL}, + }); + sh_data->overlay_facedot = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_point_varying_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define FACEDOT\n", NULL}, + }); + sh_data->overlay_facefill = GPU_shader_create_from_arrays({ + .vert = (const char *[]){lib, datatoc_edit_mesh_overlay_facefill_vert_glsl, NULL}, + .frag = (const char *[]){lib, datatoc_edit_mesh_overlay_facefill_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + MEM_freeN(lib); + + sh_data->overlay_mix = DRW_shader_create_fullscreen(datatoc_edit_mesh_overlay_mix_frag_glsl, + NULL); + + sh_data->normals_face = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define FACE_NORMALS\n", NULL}, + }); + + sh_data->normals_loop = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define LOOP_NORMALS\n", NULL}, + }); + + sh_data->normals = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_edit_normals_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + + sh_data->depth = DRW_shader_create_3d_depth_only(draw_ctx->sh_cfg); + } } -static DRWPass *edit_mesh_create_overlay_pass( - float *face_alpha, int *data_mask, bool do_edges, - DRWState statemod, - DRWShadingGroup **r_face_shgrp, DRWShadingGroup **r_face_cage_shgrp, DRWShadingGroup **r_facedot_shgrp, - DRWShadingGroup **r_edge_shgrp, DRWShadingGroup **r_vert_shgrp) +static DRWPass *edit_mesh_create_overlay_pass(float *face_alpha, + int *data_mask, + bool do_edges, + DRWState statemod, + DRWShadingGroup **r_face_shgrp, + DRWShadingGroup **r_face_cage_shgrp, + DRWShadingGroup **r_facedot_shgrp, + DRWShadingGroup **r_edge_shgrp, + DRWShadingGroup **r_vert_shgrp) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - RegionView3D *rv3d = draw_ctx->rv3d; - Scene *scene = draw_ctx->scene; - ToolSettings *tsettings = scene->toolsettings; - EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - const bool select_vert = (tsettings->selectmode & SCE_SELECT_VERTEX) != 0; - const bool select_face = (tsettings->selectmode & SCE_SELECT_FACE) != 0; - const bool select_edge = (tsettings->selectmode & SCE_SELECT_EDGE) != 0; - const bool show_wide_edge = select_edge && !(draw_ctx->v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_DOT); - - float winmat[4][4]; - float viewdist = rv3d->dist; - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - /* special exception for ortho camera (viewdist isnt used for perspective cameras) */ - if (rv3d->persp == RV3D_CAMOB && rv3d->is_persp == false) { - viewdist = 1.0f / max_ff(fabsf(rv3d->winmat[0][0]), fabsf(rv3d->winmat[1][1])); - } - const float depth_ofs = bglPolygonOffsetCalc((float *)winmat, viewdist, 1.0f); - - DRWPass *pass = DRW_pass_create( - "Edit Mesh Face Overlay Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_POINT | statemod); - - DRWShadingGroup *grp; - - GPUShader *vert_sh = sh_data->overlay_vert; - GPUShader *edge_sh = (select_vert) ? sh_data->overlay_edge : sh_data->overlay_edge_flat; - GPUShader *face_sh = sh_data->overlay_face; - GPUShader *facedot_sh = sh_data->overlay_facedot; - - /* Faces */ - if (select_face) { - grp = *r_facedot_shgrp = DRW_shgroup_create(facedot_sh, pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_state_enable(grp, DRW_STATE_WRITE_DEPTH); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - } - - grp = *r_face_shgrp = DRW_shgroup_create(face_sh, pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_float(grp, "faceAlphaMod", face_alpha, 1); - DRW_shgroup_uniform_ivec4(grp, "dataMask", data_mask, 1); - DRW_shgroup_uniform_bool_copy(grp, "doEdges", do_edges); - DRW_shgroup_uniform_float_copy(grp, "ofs", 0.0f); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - - /* Cage geom needs to be offseted to avoid Z-fighting. */ - grp = *r_face_cage_shgrp = DRW_shgroup_create_sub(*r_face_shgrp); - DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE); - - /* Edges */ - grp = *r_edge_shgrp = DRW_shgroup_create(edge_sh, pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_vec2(grp, "viewportSizeInv", DRW_viewport_invert_size_get(), 1); - DRW_shgroup_uniform_ivec4(grp, "dataMask", data_mask, 1); - DRW_shgroup_uniform_bool_copy(grp, "doEdges", do_edges); - DRW_shgroup_uniform_float_copy(grp, "ofs", depth_ofs); - DRW_shgroup_uniform_float_copy(grp, "edgeScale", show_wide_edge ? 1.75f : 1.0f); - DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE); - /* To match blender loop structure. */ - DRW_shgroup_state_enable(grp, DRW_STATE_FIRST_VERTEX_CONVENTION); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - - /* Verts */ - if (select_vert) { - grp = *r_vert_shgrp = DRW_shgroup_create(vert_sh, pass); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_float_copy(grp, "ofs", depth_ofs * 1.5f); - DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE | DRW_STATE_WRITE_DEPTH); - DRW_shgroup_state_disable(grp, DRW_STATE_BLEND); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); - } - } - - return pass; + const DRWContextState *draw_ctx = DRW_context_state_get(); + RegionView3D *rv3d = draw_ctx->rv3d; + Scene *scene = draw_ctx->scene; + ToolSettings *tsettings = scene->toolsettings; + EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + const bool select_vert = (tsettings->selectmode & SCE_SELECT_VERTEX) != 0; + const bool select_face = (tsettings->selectmode & SCE_SELECT_FACE) != 0; + const bool select_edge = (tsettings->selectmode & SCE_SELECT_EDGE) != 0; + const bool show_wide_edge = select_edge && + !(draw_ctx->v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_DOT); + + float winmat[4][4]; + float viewdist = rv3d->dist; + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + /* special exception for ortho camera (viewdist isnt used for perspective cameras) */ + if (rv3d->persp == RV3D_CAMOB && rv3d->is_persp == false) { + viewdist = 1.0f / max_ff(fabsf(rv3d->winmat[0][0]), fabsf(rv3d->winmat[1][1])); + } + const float depth_ofs = bglPolygonOffsetCalc((float *)winmat, viewdist, 1.0f); + + DRWPass *pass = DRW_pass_create("Edit Mesh Face Overlay Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_POINT | statemod); + + DRWShadingGroup *grp; + + GPUShader *vert_sh = sh_data->overlay_vert; + GPUShader *edge_sh = (select_vert) ? sh_data->overlay_edge : sh_data->overlay_edge_flat; + GPUShader *face_sh = sh_data->overlay_face; + GPUShader *facedot_sh = sh_data->overlay_facedot; + + /* Faces */ + if (select_face) { + grp = *r_facedot_shgrp = DRW_shgroup_create(facedot_sh, pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_state_enable(grp, DRW_STATE_WRITE_DEPTH); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + } + + grp = *r_face_shgrp = DRW_shgroup_create(face_sh, pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_float(grp, "faceAlphaMod", face_alpha, 1); + DRW_shgroup_uniform_ivec4(grp, "dataMask", data_mask, 1); + DRW_shgroup_uniform_bool_copy(grp, "doEdges", do_edges); + DRW_shgroup_uniform_float_copy(grp, "ofs", 0.0f); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + + /* Cage geom needs to be offseted to avoid Z-fighting. */ + grp = *r_face_cage_shgrp = DRW_shgroup_create_sub(*r_face_shgrp); + DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE); + + /* Edges */ + grp = *r_edge_shgrp = DRW_shgroup_create(edge_sh, pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_vec2(grp, "viewportSizeInv", DRW_viewport_invert_size_get(), 1); + DRW_shgroup_uniform_ivec4(grp, "dataMask", data_mask, 1); + DRW_shgroup_uniform_bool_copy(grp, "doEdges", do_edges); + DRW_shgroup_uniform_float_copy(grp, "ofs", depth_ofs); + DRW_shgroup_uniform_float_copy(grp, "edgeScale", show_wide_edge ? 1.75f : 1.0f); + DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE); + /* To match blender loop structure. */ + DRW_shgroup_state_enable(grp, DRW_STATE_FIRST_VERTEX_CONVENTION); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + + /* Verts */ + if (select_vert) { + grp = *r_vert_shgrp = DRW_shgroup_create(vert_sh, pass); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_vec2(grp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_float_copy(grp, "ofs", depth_ofs * 1.5f); + DRW_shgroup_state_enable(grp, DRW_STATE_OFFSET_NEGATIVE | DRW_STATE_WRITE_DEPTH); + DRW_shgroup_state_disable(grp, DRW_STATE_BLEND); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, rv3d); + } + } + + return pass; } static float backwire_opacity; @@ -366,424 +384,427 @@ static float size_normal; static void EDIT_MESH_cache_init(void *vedata) { - EDIT_MESH_PassList *psl = ((EDIT_MESH_Data *)vedata)->psl; - EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - Scene *scene = draw_ctx->scene; - ToolSettings *tsettings = scene->toolsettings; - EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - static float zero = 0.0f; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - stl->g_data->ghost_ob = 0; - stl->g_data->edit_ob = 0; - stl->g_data->do_faces = true; - stl->g_data->do_edges = true; - - stl->g_data->do_zbufclip = XRAY_FLAG_ENABLED(v3d); - - stl->g_data->data_mask[0] = 0xFF; /* Face Flag */ - stl->g_data->data_mask[1] = 0xFF; /* Edge Flag */ - stl->g_data->data_mask[2] = 0xFF; /* Crease */ - stl->g_data->data_mask[3] = 0xFF; /* BWeight */ - - if (draw_ctx->object_edit->type == OB_MESH) { - if (BKE_object_is_in_editmode(draw_ctx->object_edit)) { - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FREESTYLE_FACE) == 0) { - stl->g_data->data_mask[0] &= ~VFLAG_FACE_FREESTYLE; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACES) == 0) { - stl->g_data->data_mask[0] &= ~(VFLAG_FACE_SELECTED & VFLAG_FACE_FREESTYLE); - stl->g_data->do_faces = false; - stl->g_data->do_zbufclip = false; - } - if ((tsettings->selectmode & SCE_SELECT_FACE) == 0) { - stl->g_data->data_mask[0] &= ~VFLAG_FACE_ACTIVE; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_SEAMS) == 0) { - stl->g_data->data_mask[1] &= ~VFLAG_EDGE_SEAM; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_SHARP) == 0) { - stl->g_data->data_mask[1] &= ~VFLAG_EDGE_SHARP; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FREESTYLE_EDGE) == 0) { - stl->g_data->data_mask[1] &= ~VFLAG_EDGE_FREESTYLE; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGES) == 0) { - if ((tsettings->selectmode & SCE_SELECT_EDGE) == 0) { - stl->g_data->data_mask[1] &= ~(VFLAG_EDGE_ACTIVE & VFLAG_EDGE_SELECTED); - stl->g_data->do_edges = false; - } - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CREASES) == 0) { - stl->g_data->data_mask[2] = 0x0; - } - if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_BWEIGHTS) == 0) { - stl->g_data->data_mask[3] = 0x0; - } - } - } - - { - psl->weight_faces = DRW_pass_create( - "Weight Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL); - - stl->g_data->fweights_shgrp = DRW_shgroup_create(sh_data->weight_face, psl->weight_faces); - - static float alpha = 1.0f; - DRW_shgroup_uniform_float(stl->g_data->fweights_shgrp, "opacity", &alpha, 1); - DRW_shgroup_uniform_texture(stl->g_data->fweights_shgrp, "colorramp", G_draw.weight_ramp); - DRW_shgroup_uniform_block(stl->g_data->fweights_shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->fweights_shgrp, rv3d); - } - } - - { - /* Complementary Depth Pass */ - psl->depth_hidden_wire = DRW_pass_create( - "Depth Pass Hidden Wire", - DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK); - stl->g_data->depth_shgrp_hidden_wire = DRW_shgroup_create(sh_data->depth, psl->depth_hidden_wire); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_hidden_wire, rv3d); - } - - psl->depth_hidden_wire_in_front = DRW_pass_create( - "Depth Pass Hidden Wire In Front", - DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK); - stl->g_data->depth_shgrp_hidden_wire_in_front = DRW_shgroup_create(sh_data->depth, psl->depth_hidden_wire_in_front); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_hidden_wire_in_front, rv3d); - } - } - - { - /* Normals */ - psl->normals = DRW_pass_create( - "Edit Mesh Normals Pass", - DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL); - - stl->g_data->fnormals_shgrp = DRW_shgroup_create(sh_data->normals_face, psl->normals); - DRW_shgroup_uniform_float(stl->g_data->fnormals_shgrp, "normalSize", &size_normal, 1); - DRW_shgroup_uniform_vec4(stl->g_data->fnormals_shgrp, "color", G_draw.block.colorNormal, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->fnormals_shgrp, rv3d); - } - - stl->g_data->vnormals_shgrp = DRW_shgroup_create(sh_data->normals, psl->normals); - DRW_shgroup_uniform_float(stl->g_data->vnormals_shgrp, "normalSize", &size_normal, 1); - DRW_shgroup_uniform_vec4(stl->g_data->vnormals_shgrp, "color", G_draw.block.colorVNormal, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->vnormals_shgrp, rv3d); - } - - stl->g_data->lnormals_shgrp = DRW_shgroup_create(sh_data->normals_loop, psl->normals); - DRW_shgroup_uniform_float(stl->g_data->lnormals_shgrp, "normalSize", &size_normal, 1); - DRW_shgroup_uniform_vec4(stl->g_data->lnormals_shgrp, "color", G_draw.block.colorLNormal, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->lnormals_shgrp, rv3d); - } - } - - /* For in front option */ - psl->edit_face_overlay_in_front = edit_mesh_create_overlay_pass( - &face_mod, stl->g_data->data_mask, stl->g_data->do_edges, - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND, - &stl->g_data->face_shgrp_in_front, - &stl->g_data->face_cage_shgrp_in_front, - &stl->g_data->facedot_shgrp_in_front, - &stl->g_data->edge_shgrp_in_front, - &stl->g_data->vert_shgrp_in_front); - - if (!stl->g_data->do_zbufclip) { - psl->edit_face_overlay = edit_mesh_create_overlay_pass( - &face_mod, stl->g_data->data_mask, stl->g_data->do_edges, - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND, - &stl->g_data->face_shgrp, - &stl->g_data->face_cage_shgrp, - &stl->g_data->facedot_shgrp, - &stl->g_data->edge_shgrp, - &stl->g_data->vert_shgrp); - } - else { - /* We render all wires with depth and opaque to a new fbo and blend the result based on depth values */ - psl->edit_face_occluded = edit_mesh_create_overlay_pass( - &zero, stl->g_data->data_mask, stl->g_data->do_edges, - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WRITE_DEPTH, - &stl->g_data->face_shgrp, - &stl->g_data->face_cage_shgrp, - &stl->g_data->facedot_shgrp, - &stl->g_data->edge_shgrp, - &stl->g_data->vert_shgrp); - - /* however we loose the front faces value (because we need the depth of occluded wires and - * faces are alpha blended ) so we recover them in a new pass. */ - psl->facefill_occlude = DRW_pass_create( - "Front Face Color", - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); - stl->g_data->facefill_occluded_shgrp = DRW_shgroup_create(sh_data->overlay_facefill, psl->facefill_occlude); - DRW_shgroup_uniform_block(stl->g_data->facefill_occluded_shgrp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_ivec4(stl->g_data->facefill_occluded_shgrp, "dataMask", stl->g_data->data_mask, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->facefill_occluded_shgrp, rv3d); - } - - /* we need a full screen pass to combine the result */ - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - - psl->mix_occlude = DRW_pass_create( - "Mix Occluded Wires", - DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); - DRWShadingGroup *mix_shgrp = DRW_shgroup_create(sh_data->overlay_mix, psl->mix_occlude); - DRW_shgroup_call_add(mix_shgrp, quad, NULL); - DRW_shgroup_uniform_float(mix_shgrp, "alpha", &backwire_opacity, 1); - DRW_shgroup_uniform_texture_ref(mix_shgrp, "wireColor", &e_data.occlude_wire_color_tx); - DRW_shgroup_uniform_texture_ref(mix_shgrp, "wireDepth", &e_data.occlude_wire_depth_tx); - DRW_shgroup_uniform_texture_ref(mix_shgrp, "sceneDepth", &dtxl->depth); - } + EDIT_MESH_PassList *psl = ((EDIT_MESH_Data *)vedata)->psl; + EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + Scene *scene = draw_ctx->scene; + ToolSettings *tsettings = scene->toolsettings; + EDIT_MESH_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + static float zero = 0.0f; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + stl->g_data->ghost_ob = 0; + stl->g_data->edit_ob = 0; + stl->g_data->do_faces = true; + stl->g_data->do_edges = true; + + stl->g_data->do_zbufclip = XRAY_FLAG_ENABLED(v3d); + + stl->g_data->data_mask[0] = 0xFF; /* Face Flag */ + stl->g_data->data_mask[1] = 0xFF; /* Edge Flag */ + stl->g_data->data_mask[2] = 0xFF; /* Crease */ + stl->g_data->data_mask[3] = 0xFF; /* BWeight */ + + if (draw_ctx->object_edit->type == OB_MESH) { + if (BKE_object_is_in_editmode(draw_ctx->object_edit)) { + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FREESTYLE_FACE) == 0) { + stl->g_data->data_mask[0] &= ~VFLAG_FACE_FREESTYLE; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACES) == 0) { + stl->g_data->data_mask[0] &= ~(VFLAG_FACE_SELECTED & VFLAG_FACE_FREESTYLE); + stl->g_data->do_faces = false; + stl->g_data->do_zbufclip = false; + } + if ((tsettings->selectmode & SCE_SELECT_FACE) == 0) { + stl->g_data->data_mask[0] &= ~VFLAG_FACE_ACTIVE; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_SEAMS) == 0) { + stl->g_data->data_mask[1] &= ~VFLAG_EDGE_SEAM; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_SHARP) == 0) { + stl->g_data->data_mask[1] &= ~VFLAG_EDGE_SHARP; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FREESTYLE_EDGE) == 0) { + stl->g_data->data_mask[1] &= ~VFLAG_EDGE_FREESTYLE; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGES) == 0) { + if ((tsettings->selectmode & SCE_SELECT_EDGE) == 0) { + stl->g_data->data_mask[1] &= ~(VFLAG_EDGE_ACTIVE & VFLAG_EDGE_SELECTED); + stl->g_data->do_edges = false; + } + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_CREASES) == 0) { + stl->g_data->data_mask[2] = 0x0; + } + if ((v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_BWEIGHTS) == 0) { + stl->g_data->data_mask[3] = 0x0; + } + } + } + + { + psl->weight_faces = DRW_pass_create( + "Weight Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL); + + stl->g_data->fweights_shgrp = DRW_shgroup_create(sh_data->weight_face, psl->weight_faces); + + static float alpha = 1.0f; + DRW_shgroup_uniform_float(stl->g_data->fweights_shgrp, "opacity", &alpha, 1); + DRW_shgroup_uniform_texture(stl->g_data->fweights_shgrp, "colorramp", G_draw.weight_ramp); + DRW_shgroup_uniform_block(stl->g_data->fweights_shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->fweights_shgrp, rv3d); + } + } + + { + /* Complementary Depth Pass */ + psl->depth_hidden_wire = DRW_pass_create("Depth Pass Hidden Wire", + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_BACK); + stl->g_data->depth_shgrp_hidden_wire = DRW_shgroup_create(sh_data->depth, + psl->depth_hidden_wire); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_hidden_wire, rv3d); + } + + psl->depth_hidden_wire_in_front = DRW_pass_create( + "Depth Pass Hidden Wire In Front", + DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK); + stl->g_data->depth_shgrp_hidden_wire_in_front = DRW_shgroup_create( + sh_data->depth, psl->depth_hidden_wire_in_front); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->depth_shgrp_hidden_wire_in_front, rv3d); + } + } + + { + /* Normals */ + psl->normals = DRW_pass_create("Edit Mesh Normals Pass", + DRW_STATE_WRITE_DEPTH | DRW_STATE_WRITE_COLOR | + DRW_STATE_DEPTH_LESS_EQUAL); + + stl->g_data->fnormals_shgrp = DRW_shgroup_create(sh_data->normals_face, psl->normals); + DRW_shgroup_uniform_float(stl->g_data->fnormals_shgrp, "normalSize", &size_normal, 1); + DRW_shgroup_uniform_vec4(stl->g_data->fnormals_shgrp, "color", G_draw.block.colorNormal, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->fnormals_shgrp, rv3d); + } + + stl->g_data->vnormals_shgrp = DRW_shgroup_create(sh_data->normals, psl->normals); + DRW_shgroup_uniform_float(stl->g_data->vnormals_shgrp, "normalSize", &size_normal, 1); + DRW_shgroup_uniform_vec4(stl->g_data->vnormals_shgrp, "color", G_draw.block.colorVNormal, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->vnormals_shgrp, rv3d); + } + + stl->g_data->lnormals_shgrp = DRW_shgroup_create(sh_data->normals_loop, psl->normals); + DRW_shgroup_uniform_float(stl->g_data->lnormals_shgrp, "normalSize", &size_normal, 1); + DRW_shgroup_uniform_vec4(stl->g_data->lnormals_shgrp, "color", G_draw.block.colorLNormal, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->lnormals_shgrp, rv3d); + } + } + + /* For in front option */ + psl->edit_face_overlay_in_front = edit_mesh_create_overlay_pass( + &face_mod, + stl->g_data->data_mask, + stl->g_data->do_edges, + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND, + &stl->g_data->face_shgrp_in_front, + &stl->g_data->face_cage_shgrp_in_front, + &stl->g_data->facedot_shgrp_in_front, + &stl->g_data->edge_shgrp_in_front, + &stl->g_data->vert_shgrp_in_front); + + if (!stl->g_data->do_zbufclip) { + psl->edit_face_overlay = edit_mesh_create_overlay_pass(&face_mod, + stl->g_data->data_mask, + stl->g_data->do_edges, + DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND, + &stl->g_data->face_shgrp, + &stl->g_data->face_cage_shgrp, + &stl->g_data->facedot_shgrp, + &stl->g_data->edge_shgrp, + &stl->g_data->vert_shgrp); + } + else { + /* We render all wires with depth and opaque to a new fbo and blend the result based on depth values */ + psl->edit_face_occluded = edit_mesh_create_overlay_pass(&zero, + stl->g_data->data_mask, + stl->g_data->do_edges, + DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_WRITE_DEPTH, + &stl->g_data->face_shgrp, + &stl->g_data->face_cage_shgrp, + &stl->g_data->facedot_shgrp, + &stl->g_data->edge_shgrp, + &stl->g_data->vert_shgrp); + + /* however we loose the front faces value (because we need the depth of occluded wires and + * faces are alpha blended ) so we recover them in a new pass. */ + psl->facefill_occlude = DRW_pass_create( + "Front Face Color", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); + stl->g_data->facefill_occluded_shgrp = DRW_shgroup_create(sh_data->overlay_facefill, + psl->facefill_occlude); + DRW_shgroup_uniform_block( + stl->g_data->facefill_occluded_shgrp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_ivec4( + stl->g_data->facefill_occluded_shgrp, "dataMask", stl->g_data->data_mask, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(stl->g_data->facefill_occluded_shgrp, rv3d); + } + + /* we need a full screen pass to combine the result */ + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + + psl->mix_occlude = DRW_pass_create("Mix Occluded Wires", + DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND); + DRWShadingGroup *mix_shgrp = DRW_shgroup_create(sh_data->overlay_mix, psl->mix_occlude); + DRW_shgroup_call_add(mix_shgrp, quad, NULL); + DRW_shgroup_uniform_float(mix_shgrp, "alpha", &backwire_opacity, 1); + DRW_shgroup_uniform_texture_ref(mix_shgrp, "wireColor", &e_data.occlude_wire_color_tx); + DRW_shgroup_uniform_texture_ref(mix_shgrp, "wireDepth", &e_data.occlude_wire_depth_tx); + DRW_shgroup_uniform_texture_ref(mix_shgrp, "sceneDepth", &dtxl->depth); + } } -static void edit_mesh_add_ob_to_pass( - Scene *scene, Object *ob, - DRWShadingGroup *vert_shgrp, - DRWShadingGroup *edge_shgrp, - DRWShadingGroup *face_shgrp, - DRWShadingGroup *face_cage_shgrp, - DRWShadingGroup *facedot_shgrp, - DRWShadingGroup *facefill_shgrp) +static void edit_mesh_add_ob_to_pass(Scene *scene, + Object *ob, + DRWShadingGroup *vert_shgrp, + DRWShadingGroup *edge_shgrp, + DRWShadingGroup *face_shgrp, + DRWShadingGroup *face_cage_shgrp, + DRWShadingGroup *facedot_shgrp, + DRWShadingGroup *facefill_shgrp) { - struct GPUBatch *geom_tris, *geom_verts, *geom_edges, *geom_fcenter; - ToolSettings *tsettings = scene->toolsettings; - - bool has_edit_mesh_cage = false; - /* TODO: Should be its own function. */ - Mesh *me = (Mesh *)ob->data; - BMEditMesh *embm = me->edit_mesh; - if (embm) { - has_edit_mesh_cage = embm->mesh_eval_cage && (embm->mesh_eval_cage != embm->mesh_eval_final); - } - - face_shgrp = (has_edit_mesh_cage) ? face_cage_shgrp : face_shgrp; - face_shgrp = (facefill_shgrp != NULL) ? facefill_shgrp : face_shgrp; - - geom_tris = DRW_mesh_batch_cache_get_edit_triangles(ob->data); - geom_edges = DRW_mesh_batch_cache_get_edit_edges(ob->data); - DRW_shgroup_call_add(edge_shgrp, geom_edges, ob->obmat); - DRW_shgroup_call_add(face_shgrp, geom_tris, ob->obmat); - - if ((tsettings->selectmode & SCE_SELECT_VERTEX) != 0) { - geom_verts = DRW_mesh_batch_cache_get_edit_vertices(ob->data); - DRW_shgroup_call_add(vert_shgrp, geom_verts, ob->obmat); - } - - if (facedot_shgrp && (tsettings->selectmode & SCE_SELECT_FACE) != 0) { - geom_fcenter = DRW_mesh_batch_cache_get_edit_facedots(ob->data); - DRW_shgroup_call_add(facedot_shgrp, geom_fcenter, ob->obmat); - } + struct GPUBatch *geom_tris, *geom_verts, *geom_edges, *geom_fcenter; + ToolSettings *tsettings = scene->toolsettings; + + bool has_edit_mesh_cage = false; + /* TODO: Should be its own function. */ + Mesh *me = (Mesh *)ob->data; + BMEditMesh *embm = me->edit_mesh; + if (embm) { + has_edit_mesh_cage = embm->mesh_eval_cage && (embm->mesh_eval_cage != embm->mesh_eval_final); + } + + face_shgrp = (has_edit_mesh_cage) ? face_cage_shgrp : face_shgrp; + face_shgrp = (facefill_shgrp != NULL) ? facefill_shgrp : face_shgrp; + + geom_tris = DRW_mesh_batch_cache_get_edit_triangles(ob->data); + geom_edges = DRW_mesh_batch_cache_get_edit_edges(ob->data); + DRW_shgroup_call_add(edge_shgrp, geom_edges, ob->obmat); + DRW_shgroup_call_add(face_shgrp, geom_tris, ob->obmat); + + if ((tsettings->selectmode & SCE_SELECT_VERTEX) != 0) { + geom_verts = DRW_mesh_batch_cache_get_edit_vertices(ob->data); + DRW_shgroup_call_add(vert_shgrp, geom_verts, ob->obmat); + } + + if (facedot_shgrp && (tsettings->selectmode & SCE_SELECT_FACE) != 0) { + geom_fcenter = DRW_mesh_batch_cache_get_edit_facedots(ob->data); + DRW_shgroup_call_add(facedot_shgrp, geom_fcenter, ob->obmat); + } } static void EDIT_MESH_cache_populate(void *vedata, Object *ob) { - EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; - EDIT_MESH_PrivateData *g_data = stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - Scene *scene = draw_ctx->scene; - ToolSettings *tsettings = scene->toolsettings; - struct GPUBatch *geom; - - if (ob->type == OB_MESH) { - if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { - bool do_in_front = (ob->dtx & OB_DRAWXRAY) != 0; - bool do_occlude_wire = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_OCCLUDE_WIRE) != 0; - bool do_show_weight = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_WEIGHT) != 0; - bool fnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_NORMALS) != 0; - bool vnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_VERT_NORMALS) != 0; - bool lnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_LOOP_NORMALS) != 0; - - bool show_face_dots = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_DOT) != 0; - - if (g_data->do_faces == false && - g_data->do_edges == false && - (tsettings->selectmode & SCE_SELECT_FACE)) - { - /* Force display of face centers in this case because that's - * the only way to see if a face is selected. */ - show_face_dots = true; - } - - /* Updating uniform */ - backwire_opacity = v3d->overlay.backwire_opacity; - size_normal = v3d->overlay.normals_length; - - face_mod = (do_occlude_wire) ? 0.0f : 1.0f; - - if (!g_data->do_faces) { - face_mod = 0.0f; - } - - if (do_show_weight) { - geom = DRW_cache_mesh_surface_weights_get(ob); - DRW_shgroup_call_add(g_data->fweights_shgrp, geom, ob->obmat); - } - - if (do_occlude_wire || do_in_front) { - geom = DRW_cache_mesh_surface_get(ob); - DRW_shgroup_call_add(do_in_front ? g_data->depth_shgrp_hidden_wire_in_front - : g_data->depth_shgrp_hidden_wire, - geom, ob->obmat); - } - - if (vnormals_do) { - geom = DRW_mesh_batch_cache_get_edit_vertices(ob->data); - DRW_shgroup_call_add(g_data->vnormals_shgrp, geom, ob->obmat); - } - if (lnormals_do) { - geom = DRW_mesh_batch_cache_get_edit_lnors(ob->data); - DRW_shgroup_call_add(g_data->lnormals_shgrp, geom, ob->obmat); - } - if (fnormals_do) { - geom = DRW_mesh_batch_cache_get_edit_facedots(ob->data); - DRW_shgroup_call_add(g_data->fnormals_shgrp, geom, ob->obmat); - } - - if (g_data->do_zbufclip) { - edit_mesh_add_ob_to_pass( - scene, ob, - g_data->vert_shgrp, - g_data->edge_shgrp, - g_data->face_shgrp, - g_data->face_cage_shgrp, - g_data->facedot_shgrp, - (g_data->do_faces) ? g_data->facefill_occluded_shgrp : NULL); - } - else if (do_in_front) { - edit_mesh_add_ob_to_pass( - scene, ob, - g_data->vert_shgrp_in_front, - g_data->edge_shgrp_in_front, - g_data->face_shgrp_in_front, - g_data->face_cage_shgrp_in_front, - (show_face_dots) ? g_data->facedot_shgrp_in_front : NULL, - NULL); - } - else { - edit_mesh_add_ob_to_pass( - scene, ob, - g_data->vert_shgrp, - g_data->edge_shgrp, - g_data->face_shgrp, - g_data->face_cage_shgrp, - (show_face_dots) ? g_data->facedot_shgrp : NULL, - NULL); - } - - g_data->ghost_ob += (ob->dtx & OB_DRAWXRAY) ? 1 : 0; - g_data->edit_ob += 1; - - /* 3D text overlay */ - if (v3d->overlay.edit_flag & (V3D_OVERLAY_EDIT_EDGE_LEN | - V3D_OVERLAY_EDIT_FACE_AREA | - V3D_OVERLAY_EDIT_FACE_ANG | - V3D_OVERLAY_EDIT_EDGE_ANG | - V3D_OVERLAY_EDIT_INDICES)) - { - if (DRW_state_show_text()) { - DRW_edit_mesh_mode_text_measure_stats( - draw_ctx->ar, v3d, ob, &scene->unit); - } - } - } - } + EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; + EDIT_MESH_PrivateData *g_data = stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + Scene *scene = draw_ctx->scene; + ToolSettings *tsettings = scene->toolsettings; + struct GPUBatch *geom; + + if (ob->type == OB_MESH) { + if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { + bool do_in_front = (ob->dtx & OB_DRAWXRAY) != 0; + bool do_occlude_wire = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_OCCLUDE_WIRE) != 0; + bool do_show_weight = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_WEIGHT) != 0; + bool fnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_NORMALS) != 0; + bool vnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_VERT_NORMALS) != 0; + bool lnormals_do = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_LOOP_NORMALS) != 0; + + bool show_face_dots = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_DOT) != 0; + + if (g_data->do_faces == false && g_data->do_edges == false && + (tsettings->selectmode & SCE_SELECT_FACE)) { + /* Force display of face centers in this case because that's + * the only way to see if a face is selected. */ + show_face_dots = true; + } + + /* Updating uniform */ + backwire_opacity = v3d->overlay.backwire_opacity; + size_normal = v3d->overlay.normals_length; + + face_mod = (do_occlude_wire) ? 0.0f : 1.0f; + + if (!g_data->do_faces) { + face_mod = 0.0f; + } + + if (do_show_weight) { + geom = DRW_cache_mesh_surface_weights_get(ob); + DRW_shgroup_call_add(g_data->fweights_shgrp, geom, ob->obmat); + } + + if (do_occlude_wire || do_in_front) { + geom = DRW_cache_mesh_surface_get(ob); + DRW_shgroup_call_add(do_in_front ? g_data->depth_shgrp_hidden_wire_in_front : + g_data->depth_shgrp_hidden_wire, + geom, + ob->obmat); + } + + if (vnormals_do) { + geom = DRW_mesh_batch_cache_get_edit_vertices(ob->data); + DRW_shgroup_call_add(g_data->vnormals_shgrp, geom, ob->obmat); + } + if (lnormals_do) { + geom = DRW_mesh_batch_cache_get_edit_lnors(ob->data); + DRW_shgroup_call_add(g_data->lnormals_shgrp, geom, ob->obmat); + } + if (fnormals_do) { + geom = DRW_mesh_batch_cache_get_edit_facedots(ob->data); + DRW_shgroup_call_add(g_data->fnormals_shgrp, geom, ob->obmat); + } + + if (g_data->do_zbufclip) { + edit_mesh_add_ob_to_pass(scene, + ob, + g_data->vert_shgrp, + g_data->edge_shgrp, + g_data->face_shgrp, + g_data->face_cage_shgrp, + g_data->facedot_shgrp, + (g_data->do_faces) ? g_data->facefill_occluded_shgrp : NULL); + } + else if (do_in_front) { + edit_mesh_add_ob_to_pass(scene, + ob, + g_data->vert_shgrp_in_front, + g_data->edge_shgrp_in_front, + g_data->face_shgrp_in_front, + g_data->face_cage_shgrp_in_front, + (show_face_dots) ? g_data->facedot_shgrp_in_front : NULL, + NULL); + } + else { + edit_mesh_add_ob_to_pass(scene, + ob, + g_data->vert_shgrp, + g_data->edge_shgrp, + g_data->face_shgrp, + g_data->face_cage_shgrp, + (show_face_dots) ? g_data->facedot_shgrp : NULL, + NULL); + } + + g_data->ghost_ob += (ob->dtx & OB_DRAWXRAY) ? 1 : 0; + g_data->edit_ob += 1; + + /* 3D text overlay */ + if (v3d->overlay.edit_flag & + (V3D_OVERLAY_EDIT_EDGE_LEN | V3D_OVERLAY_EDIT_FACE_AREA | V3D_OVERLAY_EDIT_FACE_ANG | + V3D_OVERLAY_EDIT_EDGE_ANG | V3D_OVERLAY_EDIT_INDICES)) { + if (DRW_state_show_text()) { + DRW_edit_mesh_mode_text_measure_stats(draw_ctx->ar, v3d, ob, &scene->unit); + } + } + } + } } static void EDIT_MESH_draw_scene(void *vedata) { - EDIT_MESH_PassList *psl = ((EDIT_MESH_Data *)vedata)->psl; - EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; - EDIT_MESH_FramebufferList *fbl = ((EDIT_MESH_Data *)vedata)->fbl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - - DRW_draw_pass(psl->weight_faces); - - DRW_draw_pass(psl->depth_hidden_wire); - - if (stl->g_data->do_zbufclip) { - float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - DRW_draw_pass(psl->depth_hidden_wire_in_front); - - /* render facefill */ - DRW_draw_pass(psl->facefill_occlude); - - /* Render wires on a separate framebuffer */ - GPU_framebuffer_bind(fbl->occlude_wire_fb); - GPU_framebuffer_clear_color_depth(fbl->occlude_wire_fb, clearcol, 1.0f); - DRW_draw_pass(psl->normals); - DRW_draw_pass(psl->edit_face_occluded); - - /* Combine with scene buffer */ - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_draw_pass(psl->mix_occlude); - } - else { - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - DRW_draw_pass(psl->normals); - DRW_draw_pass(psl->edit_face_overlay); - - if (v3d->shading.type == OB_SOLID && !XRAY_FLAG_ENABLED(v3d) && - stl->g_data->ghost_ob == 1 && stl->g_data->edit_ob == 1) - { - /* In the case of single ghost object edit (common case for retopology): - * we clear the depth buffer so that only the depth of the retopo mesh - * is occluding the edit cage. */ - GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); - } - - DRW_draw_pass(psl->depth_hidden_wire_in_front); - DRW_draw_pass(psl->edit_face_overlay_in_front); - } - - DRW_state_clip_planes_reset(); + EDIT_MESH_PassList *psl = ((EDIT_MESH_Data *)vedata)->psl; + EDIT_MESH_StorageList *stl = ((EDIT_MESH_Data *)vedata)->stl; + EDIT_MESH_FramebufferList *fbl = ((EDIT_MESH_Data *)vedata)->fbl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + + DRW_draw_pass(psl->weight_faces); + + DRW_draw_pass(psl->depth_hidden_wire); + + if (stl->g_data->do_zbufclip) { + float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + DRW_draw_pass(psl->depth_hidden_wire_in_front); + + /* render facefill */ + DRW_draw_pass(psl->facefill_occlude); + + /* Render wires on a separate framebuffer */ + GPU_framebuffer_bind(fbl->occlude_wire_fb); + GPU_framebuffer_clear_color_depth(fbl->occlude_wire_fb, clearcol, 1.0f); + DRW_draw_pass(psl->normals); + DRW_draw_pass(psl->edit_face_occluded); + + /* Combine with scene buffer */ + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_draw_pass(psl->mix_occlude); + } + else { + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + DRW_draw_pass(psl->normals); + DRW_draw_pass(psl->edit_face_overlay); + + if (v3d->shading.type == OB_SOLID && !XRAY_FLAG_ENABLED(v3d) && stl->g_data->ghost_ob == 1 && + stl->g_data->edit_ob == 1) { + /* In the case of single ghost object edit (common case for retopology): + * we clear the depth buffer so that only the depth of the retopo mesh + * is occluding the edit cage. */ + GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); + } + + DRW_draw_pass(psl->depth_hidden_wire_in_front); + DRW_draw_pass(psl->edit_face_overlay_in_front); + } + + DRW_state_clip_planes_reset(); } static void EDIT_MESH_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - EDIT_MESH_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - /* Don't free builtins. */ - sh_data->depth = NULL; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(EDIT_MESH_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + EDIT_MESH_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + /* Don't free builtins. */ + sh_data->depth = NULL; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(EDIT_MESH_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } static const DrawEngineDataSize EDIT_MESH_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_MESH_Data); DrawEngineType draw_engine_edit_mesh_type = { - NULL, NULL, - N_("EditMeshMode"), - &EDIT_MESH_data_size, - &EDIT_MESH_engine_init, - &EDIT_MESH_engine_free, - &EDIT_MESH_cache_init, - &EDIT_MESH_cache_populate, - NULL, - NULL, - &EDIT_MESH_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditMeshMode"), + &EDIT_MESH_data_size, + &EDIT_MESH_engine_init, + &EDIT_MESH_engine_free, + &EDIT_MESH_cache_init, + &EDIT_MESH_cache_populate, + NULL, + NULL, + &EDIT_MESH_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/edit_mesh_mode_intern.h b/source/blender/draw/modes/edit_mesh_mode_intern.h index 946615ef66b..706c7b7bd88 100644 --- a/source/blender/draw/modes/edit_mesh_mode_intern.h +++ b/source/blender/draw/modes/edit_mesh_mode_intern.h @@ -27,8 +27,9 @@ struct UnitSettings; struct View3D; /* edit_mesh_mode_text.c */ -void DRW_edit_mesh_mode_text_measure_stats( - struct ARegion *ar, struct View3D *v3d, - struct Object *ob, const UnitSettings *unit); +void DRW_edit_mesh_mode_text_measure_stats(struct ARegion *ar, + struct View3D *v3d, + struct Object *ob, + const UnitSettings *unit); #endif /* __EDIT_MESH_MODE_INTERN_H__ */ diff --git a/source/blender/draw/modes/edit_mesh_mode_text.c b/source/blender/draw/modes/edit_mesh_mode_text.c index 629cb042562..90396785eb3 100644 --- a/source/blender/draw/modes/edit_mesh_mode_text.c +++ b/source/blender/draw/modes/edit_mesh_mode_text.c @@ -42,310 +42,337 @@ #include "edit_mesh_mode_intern.h" /* own include */ /* Copied from drawobject.c */ -void DRW_edit_mesh_mode_text_measure_stats( - ARegion *ar, View3D *v3d, - Object *ob, const UnitSettings *unit) +void DRW_edit_mesh_mode_text_measure_stats(ARegion *ar, + View3D *v3d, + Object *ob, + const UnitSettings *unit) { - /* Do not use ascii when using non-default unit system, some unit chars are utf8 (micro, square, etc.). - * See bug #36090. - */ - struct DRWTextStore *dt = DRW_text_cache_ensure(); - const short txt_flag = DRW_TEXT_CACHE_GLOBALSPACE | (unit->system ? 0 : DRW_TEXT_CACHE_ASCII); - Mesh *me = ob->data; - BMEditMesh *em = me->edit_mesh; - float v1[3], v2[3], v3[3], vmid[3], fvec[3]; - char numstr[32]; /* Stores the measurement display text here */ - size_t numstr_len; - const char *conv_float; /* Use a float conversion matching the grid size */ - uchar col[4] = {0, 0, 0, 255}; /* color of the text to draw */ - float area; /* area of the face */ - float grid = unit->system ? unit->scale_length : v3d->grid; - const bool do_global = (v3d->flag & V3D_GLOBAL_STATS) != 0; - const bool do_moving = (G.moving & G_TRANSFORM_EDIT) != 0; - /* when 2 edge-info options are enabled, space apart */ - const bool do_edge_textpair = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_LEN) && (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_ANG); - const short edge_texpair_sep = (short)(5.0f * U.ui_scale); - float clip_planes[4][4]; - /* allow for displaying shape keys and deform mods */ - BMIter iter; - - /* make the precision of the display value proportionate to the gridsize */ - - if (grid <= 0.01f) { conv_float = "%.6g"; } - else if (grid <= 0.1f) { conv_float = "%.5g"; } - else if (grid <= 1.0f) { conv_float = "%.4g"; } - else if (grid <= 10.0f) { conv_float = "%.3g"; } - else { conv_float = "%.2g"; } - - if (v3d->overlay.edit_flag & (V3D_OVERLAY_EDIT_EDGE_LEN | V3D_OVERLAY_EDIT_EDGE_ANG | V3D_OVERLAY_EDIT_INDICES)) { - BoundBox bb; - const rcti rect = {0, ar->winx, 0, ar->winy}; - - ED_view3d_clipping_calc(&bb, clip_planes, ar, em->ob, &rect); - } - - if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_LEN) { - BMEdge *eed; - - UI_GetThemeColor3ubv(TH_DRAWEXTRA_EDGELEN, col); - - BM_ITER_MESH (eed, &iter, em->bm, BM_EDGES_OF_MESH) { - /* draw selected edges, or edges next to selected verts while dragging */ - if (BM_elem_flag_test(eed, BM_ELEM_SELECT) || - (do_moving && (BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) || - BM_elem_flag_test(eed->v2, BM_ELEM_SELECT)))) - { - float v1_clip[3], v2_clip[3]; - - copy_v3_v3(v1, eed->v1->co); - copy_v3_v3(v2, eed->v2->co); - - if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { - - mid_v3_v3v3(vmid, v1_clip, v2_clip); - mul_m4_v3(ob->obmat, vmid); - - if (do_global) { - mul_mat3_m4_v3(ob->obmat, v1); - mul_mat3_m4_v3(ob->obmat, v2); - } - - if (unit->system) { - numstr_len = bUnit_AsString2( - numstr, sizeof(numstr), len_v3v3(v1, v2) * unit->scale_length, 3, - B_UNIT_LENGTH, unit, false); - } - else { - numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), conv_float, len_v3v3(v1, v2)); - } - - DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, - (do_edge_textpair) ? edge_texpair_sep : 0, - txt_flag, col); - } - } - } - } - - if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_ANG) { - const bool is_rad = (unit->system_rotation == USER_UNIT_ROT_RADIANS); - BMEdge *eed; - - UI_GetThemeColor3ubv(TH_DRAWEXTRA_EDGEANG, col); - - BM_ITER_MESH (eed, &iter, em->bm, BM_EDGES_OF_MESH) { - BMLoop *l_a, *l_b; - if (BM_edge_loop_pair(eed, &l_a, &l_b)) { - /* draw selected edges, or edges next to selected verts while dragging */ - if (BM_elem_flag_test(eed, BM_ELEM_SELECT) || - (do_moving && - (BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) || - BM_elem_flag_test(eed->v2, BM_ELEM_SELECT) || - /* special case, this is useful to show when verts connected to - * this edge via a face are being transformed */ - BM_elem_flag_test(l_a->next->next->v, BM_ELEM_SELECT) || - BM_elem_flag_test(l_a->prev->v, BM_ELEM_SELECT) || - BM_elem_flag_test(l_b->next->next->v, BM_ELEM_SELECT) || - BM_elem_flag_test(l_b->prev->v, BM_ELEM_SELECT) - ))) - { - float v1_clip[3], v2_clip[3]; - - copy_v3_v3(v1, eed->v1->co); - copy_v3_v3(v2, eed->v2->co); - - if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { - float no_a[3], no_b[3]; - float angle; - - mid_v3_v3v3(vmid, v1_clip, v2_clip); - mul_m4_v3(ob->obmat, vmid); - - copy_v3_v3(no_a, l_a->f->no); - copy_v3_v3(no_b, l_b->f->no); - - if (do_global) { - mul_mat3_m4_v3(ob->imat, no_a); - mul_mat3_m4_v3(ob->imat, no_b); - normalize_v3(no_a); - normalize_v3(no_b); - } - - angle = angle_normalized_v3v3(no_a, no_b); - - numstr_len = BLI_snprintf_rlen( - numstr, sizeof(numstr), "%.3f%s", (is_rad) ? angle : RAD2DEGF(angle), - (is_rad) ? "r" : "°"); - - DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, - (do_edge_textpair) ? -edge_texpair_sep : 0, - txt_flag, col); - } - } - } - } - } - - if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_AREA) { - /* would be nice to use BM_face_calc_area, but that is for 2d faces - * so instead add up tessellation triangle areas */ - - UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEAREA, col); - - int i, n, numtri; - BMFace *f = NULL; - BM_ITER_MESH_INDEX(f, &iter, em->bm, BM_FACES_OF_MESH, i) { - if (BM_elem_flag_test(f, BM_ELEM_SELECT)) { - n = 0; - numtri = f->len - 2; - area = 0; - zero_v3(vmid); - BMLoop *(*l)[3] = &em->looptris[poly_to_tri_count(i, BM_elem_index_get(f->l_first))]; - for (int j = 0; j < numtri; j++) { - copy_v3_v3(v1, l[j][0]->v->co); - copy_v3_v3(v2, l[j][1]->v->co); - copy_v3_v3(v3, l[j][2]->v->co); - - add_v3_v3(vmid, v1); - add_v3_v3(vmid, v2); - add_v3_v3(vmid, v3); - n += 3; - - if (do_global) { - mul_mat3_m4_v3(ob->obmat, v1); - mul_mat3_m4_v3(ob->obmat, v2); - mul_mat3_m4_v3(ob->obmat, v3); - } - - area += area_tri_v3(v1, v2, v3); - } - - mul_v3_fl(vmid, 1.0f / (float)n); - mul_m4_v3(ob->obmat, vmid); - - if (unit->system) { - numstr_len = bUnit_AsString2( - numstr, sizeof(numstr), - (double)(area * unit->scale_length * unit->scale_length), - 3, B_UNIT_AREA, unit, false); - } - else { - numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), conv_float, area); - } - - DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - - if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_ANG) { - BMFace *efa; - const bool is_rad = (unit->system_rotation == USER_UNIT_ROT_RADIANS); - - UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEANG, col); - - BM_ITER_MESH (efa, &iter, em->bm, BM_FACES_OF_MESH) { - const bool is_face_sel = BM_elem_flag_test_bool(efa, BM_ELEM_SELECT); - - if (is_face_sel || do_moving) { - BMIter liter; - BMLoop *loop; - bool is_first = true; - - BM_ITER_ELEM (loop, &liter, efa, BM_LOOPS_OF_FACE) { - if (is_face_sel || - (do_moving && - (BM_elem_flag_test(loop->v, BM_ELEM_SELECT) || - BM_elem_flag_test(loop->prev->v, BM_ELEM_SELECT) || - BM_elem_flag_test(loop->next->v, BM_ELEM_SELECT)))) - { - float v2_local[3]; - - /* lazy init center calc */ - if (is_first) { - BM_face_calc_center_bounds(efa, vmid); - is_first = false; - } - copy_v3_v3(v1, loop->prev->v->co); - copy_v3_v3(v2, loop->v->co); - copy_v3_v3(v3, loop->next->v->co); - - copy_v3_v3(v2_local, v2); - - if (do_global) { - mul_mat3_m4_v3(ob->obmat, v1); - mul_mat3_m4_v3(ob->obmat, v2); - mul_mat3_m4_v3(ob->obmat, v3); - } - - float angle = angle_v3v3v3(v1, v2, v3); - - numstr_len = BLI_snprintf_rlen( - numstr, sizeof(numstr), "%.3f%s", (is_rad) ? angle : RAD2DEGF(angle), - (is_rad) ? "r" : "°"); - interp_v3_v3v3(fvec, vmid, v2_local, 0.8f); - mul_m4_v3(ob->obmat, fvec); - DRW_text_cache_add(dt, fvec, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - } - } - - /* This option is for mesh ops and addons debugging; only available in UI if Blender starts with --debug */ - if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_INDICES) { - int i; - - /* For now, reuse an appropriate theme color */ - UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEANG, col); - - if (em->selectmode & SCE_SELECT_VERTEX) { - BMVert *v; - - BM_ITER_MESH_INDEX(v, &iter, em->bm, BM_VERTS_OF_MESH, i) { - if (BM_elem_flag_test(v, BM_ELEM_SELECT)) { - float vec[3]; - mul_v3_m4v3(vec, ob->obmat, v->co); - - numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); - DRW_text_cache_add(dt, vec, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - - if (em->selectmode & SCE_SELECT_EDGE) { - BMEdge *e; - - BM_ITER_MESH_INDEX(e, &iter, em->bm, BM_EDGES_OF_MESH, i) { - if (BM_elem_flag_test(e, BM_ELEM_SELECT)) { - float v1_clip[3], v2_clip[3]; - - copy_v3_v3(v1, e->v1->co); - copy_v3_v3(v2, e->v2->co); - - if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { - mid_v3_v3v3(vmid, v1_clip, v2_clip); - mul_m4_v3(ob->obmat, vmid); - - numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); - DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - } - - if (em->selectmode & SCE_SELECT_FACE) { - BMFace *f; - - BM_ITER_MESH_INDEX(f, &iter, em->bm, BM_FACES_OF_MESH, i) { - if (BM_elem_flag_test(f, BM_ELEM_SELECT)) { - BM_face_calc_center_median(f, v1); - mul_m4_v3(ob->obmat, v1); - - numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); - DRW_text_cache_add(dt, v1, numstr, numstr_len, 0, 0, txt_flag, col); - } - } - } - } + /* Do not use ascii when using non-default unit system, some unit chars are utf8 (micro, square, etc.). + * See bug #36090. + */ + struct DRWTextStore *dt = DRW_text_cache_ensure(); + const short txt_flag = DRW_TEXT_CACHE_GLOBALSPACE | (unit->system ? 0 : DRW_TEXT_CACHE_ASCII); + Mesh *me = ob->data; + BMEditMesh *em = me->edit_mesh; + float v1[3], v2[3], v3[3], vmid[3], fvec[3]; + char numstr[32]; /* Stores the measurement display text here */ + size_t numstr_len; + const char *conv_float; /* Use a float conversion matching the grid size */ + uchar col[4] = {0, 0, 0, 255}; /* color of the text to draw */ + float area; /* area of the face */ + float grid = unit->system ? unit->scale_length : v3d->grid; + const bool do_global = (v3d->flag & V3D_GLOBAL_STATS) != 0; + const bool do_moving = (G.moving & G_TRANSFORM_EDIT) != 0; + /* when 2 edge-info options are enabled, space apart */ + const bool do_edge_textpair = (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_LEN) && + (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_ANG); + const short edge_texpair_sep = (short)(5.0f * U.ui_scale); + float clip_planes[4][4]; + /* allow for displaying shape keys and deform mods */ + BMIter iter; + + /* make the precision of the display value proportionate to the gridsize */ + + if (grid <= 0.01f) { + conv_float = "%.6g"; + } + else if (grid <= 0.1f) { + conv_float = "%.5g"; + } + else if (grid <= 1.0f) { + conv_float = "%.4g"; + } + else if (grid <= 10.0f) { + conv_float = "%.3g"; + } + else { + conv_float = "%.2g"; + } + + if (v3d->overlay.edit_flag & + (V3D_OVERLAY_EDIT_EDGE_LEN | V3D_OVERLAY_EDIT_EDGE_ANG | V3D_OVERLAY_EDIT_INDICES)) { + BoundBox bb; + const rcti rect = {0, ar->winx, 0, ar->winy}; + + ED_view3d_clipping_calc(&bb, clip_planes, ar, em->ob, &rect); + } + + if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_LEN) { + BMEdge *eed; + + UI_GetThemeColor3ubv(TH_DRAWEXTRA_EDGELEN, col); + + BM_ITER_MESH (eed, &iter, em->bm, BM_EDGES_OF_MESH) { + /* draw selected edges, or edges next to selected verts while dragging */ + if (BM_elem_flag_test(eed, BM_ELEM_SELECT) || + (do_moving && (BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) || + BM_elem_flag_test(eed->v2, BM_ELEM_SELECT)))) { + float v1_clip[3], v2_clip[3]; + + copy_v3_v3(v1, eed->v1->co); + copy_v3_v3(v2, eed->v2->co); + + if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { + + mid_v3_v3v3(vmid, v1_clip, v2_clip); + mul_m4_v3(ob->obmat, vmid); + + if (do_global) { + mul_mat3_m4_v3(ob->obmat, v1); + mul_mat3_m4_v3(ob->obmat, v2); + } + + if (unit->system) { + numstr_len = bUnit_AsString2(numstr, + sizeof(numstr), + len_v3v3(v1, v2) * unit->scale_length, + 3, + B_UNIT_LENGTH, + unit, + false); + } + else { + numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), conv_float, len_v3v3(v1, v2)); + } + + DRW_text_cache_add(dt, + vmid, + numstr, + numstr_len, + 0, + (do_edge_textpair) ? edge_texpair_sep : 0, + txt_flag, + col); + } + } + } + } + + if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_EDGE_ANG) { + const bool is_rad = (unit->system_rotation == USER_UNIT_ROT_RADIANS); + BMEdge *eed; + + UI_GetThemeColor3ubv(TH_DRAWEXTRA_EDGEANG, col); + + BM_ITER_MESH (eed, &iter, em->bm, BM_EDGES_OF_MESH) { + BMLoop *l_a, *l_b; + if (BM_edge_loop_pair(eed, &l_a, &l_b)) { + /* draw selected edges, or edges next to selected verts while dragging */ + if (BM_elem_flag_test(eed, BM_ELEM_SELECT) || + (do_moving && (BM_elem_flag_test(eed->v1, BM_ELEM_SELECT) || + BM_elem_flag_test(eed->v2, BM_ELEM_SELECT) || + /* special case, this is useful to show when verts connected to + * this edge via a face are being transformed */ + BM_elem_flag_test(l_a->next->next->v, BM_ELEM_SELECT) || + BM_elem_flag_test(l_a->prev->v, BM_ELEM_SELECT) || + BM_elem_flag_test(l_b->next->next->v, BM_ELEM_SELECT) || + BM_elem_flag_test(l_b->prev->v, BM_ELEM_SELECT)))) { + float v1_clip[3], v2_clip[3]; + + copy_v3_v3(v1, eed->v1->co); + copy_v3_v3(v2, eed->v2->co); + + if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { + float no_a[3], no_b[3]; + float angle; + + mid_v3_v3v3(vmid, v1_clip, v2_clip); + mul_m4_v3(ob->obmat, vmid); + + copy_v3_v3(no_a, l_a->f->no); + copy_v3_v3(no_b, l_b->f->no); + + if (do_global) { + mul_mat3_m4_v3(ob->imat, no_a); + mul_mat3_m4_v3(ob->imat, no_b); + normalize_v3(no_a); + normalize_v3(no_b); + } + + angle = angle_normalized_v3v3(no_a, no_b); + + numstr_len = BLI_snprintf_rlen(numstr, + sizeof(numstr), + "%.3f%s", + (is_rad) ? angle : RAD2DEGF(angle), + (is_rad) ? "r" : "°"); + + DRW_text_cache_add(dt, + vmid, + numstr, + numstr_len, + 0, + (do_edge_textpair) ? -edge_texpair_sep : 0, + txt_flag, + col); + } + } + } + } + } + + if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_AREA) { + /* would be nice to use BM_face_calc_area, but that is for 2d faces + * so instead add up tessellation triangle areas */ + + UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEAREA, col); + + int i, n, numtri; + BMFace *f = NULL; + BM_ITER_MESH_INDEX (f, &iter, em->bm, BM_FACES_OF_MESH, i) { + if (BM_elem_flag_test(f, BM_ELEM_SELECT)) { + n = 0; + numtri = f->len - 2; + area = 0; + zero_v3(vmid); + BMLoop *(*l)[3] = &em->looptris[poly_to_tri_count(i, BM_elem_index_get(f->l_first))]; + for (int j = 0; j < numtri; j++) { + copy_v3_v3(v1, l[j][0]->v->co); + copy_v3_v3(v2, l[j][1]->v->co); + copy_v3_v3(v3, l[j][2]->v->co); + + add_v3_v3(vmid, v1); + add_v3_v3(vmid, v2); + add_v3_v3(vmid, v3); + n += 3; + + if (do_global) { + mul_mat3_m4_v3(ob->obmat, v1); + mul_mat3_m4_v3(ob->obmat, v2); + mul_mat3_m4_v3(ob->obmat, v3); + } + + area += area_tri_v3(v1, v2, v3); + } + + mul_v3_fl(vmid, 1.0f / (float)n); + mul_m4_v3(ob->obmat, vmid); + + if (unit->system) { + numstr_len = bUnit_AsString2(numstr, + sizeof(numstr), + (double)(area * unit->scale_length * unit->scale_length), + 3, + B_UNIT_AREA, + unit, + false); + } + else { + numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), conv_float, area); + } + + DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + + if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_FACE_ANG) { + BMFace *efa; + const bool is_rad = (unit->system_rotation == USER_UNIT_ROT_RADIANS); + + UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEANG, col); + + BM_ITER_MESH (efa, &iter, em->bm, BM_FACES_OF_MESH) { + const bool is_face_sel = BM_elem_flag_test_bool(efa, BM_ELEM_SELECT); + + if (is_face_sel || do_moving) { + BMIter liter; + BMLoop *loop; + bool is_first = true; + + BM_ITER_ELEM (loop, &liter, efa, BM_LOOPS_OF_FACE) { + if (is_face_sel || (do_moving && (BM_elem_flag_test(loop->v, BM_ELEM_SELECT) || + BM_elem_flag_test(loop->prev->v, BM_ELEM_SELECT) || + BM_elem_flag_test(loop->next->v, BM_ELEM_SELECT)))) { + float v2_local[3]; + + /* lazy init center calc */ + if (is_first) { + BM_face_calc_center_bounds(efa, vmid); + is_first = false; + } + copy_v3_v3(v1, loop->prev->v->co); + copy_v3_v3(v2, loop->v->co); + copy_v3_v3(v3, loop->next->v->co); + + copy_v3_v3(v2_local, v2); + + if (do_global) { + mul_mat3_m4_v3(ob->obmat, v1); + mul_mat3_m4_v3(ob->obmat, v2); + mul_mat3_m4_v3(ob->obmat, v3); + } + + float angle = angle_v3v3v3(v1, v2, v3); + + numstr_len = BLI_snprintf_rlen(numstr, + sizeof(numstr), + "%.3f%s", + (is_rad) ? angle : RAD2DEGF(angle), + (is_rad) ? "r" : "°"); + interp_v3_v3v3(fvec, vmid, v2_local, 0.8f); + mul_m4_v3(ob->obmat, fvec); + DRW_text_cache_add(dt, fvec, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + } + } + + /* This option is for mesh ops and addons debugging; only available in UI if Blender starts with --debug */ + if (v3d->overlay.edit_flag & V3D_OVERLAY_EDIT_INDICES) { + int i; + + /* For now, reuse an appropriate theme color */ + UI_GetThemeColor3ubv(TH_DRAWEXTRA_FACEANG, col); + + if (em->selectmode & SCE_SELECT_VERTEX) { + BMVert *v; + + BM_ITER_MESH_INDEX (v, &iter, em->bm, BM_VERTS_OF_MESH, i) { + if (BM_elem_flag_test(v, BM_ELEM_SELECT)) { + float vec[3]; + mul_v3_m4v3(vec, ob->obmat, v->co); + + numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); + DRW_text_cache_add(dt, vec, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + + if (em->selectmode & SCE_SELECT_EDGE) { + BMEdge *e; + + BM_ITER_MESH_INDEX (e, &iter, em->bm, BM_EDGES_OF_MESH, i) { + if (BM_elem_flag_test(e, BM_ELEM_SELECT)) { + float v1_clip[3], v2_clip[3]; + + copy_v3_v3(v1, e->v1->co); + copy_v3_v3(v2, e->v2->co); + + if (clip_segment_v3_plane_n(v1, v2, clip_planes, 4, v1_clip, v2_clip)) { + mid_v3_v3v3(vmid, v1_clip, v2_clip); + mul_m4_v3(ob->obmat, vmid); + + numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); + DRW_text_cache_add(dt, vmid, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + } + + if (em->selectmode & SCE_SELECT_FACE) { + BMFace *f; + + BM_ITER_MESH_INDEX (f, &iter, em->bm, BM_FACES_OF_MESH, i) { + if (BM_elem_flag_test(f, BM_ELEM_SELECT)) { + BM_face_calc_center_median(f, v1); + mul_m4_v3(ob->obmat, v1); + + numstr_len = BLI_snprintf_rlen(numstr, sizeof(numstr), "%d", i); + DRW_text_cache_add(dt, v1, numstr, numstr_len, 0, 0, txt_flag, col); + } + } + } + } } diff --git a/source/blender/draw/modes/edit_metaball_mode.c b/source/blender/draw/modes/edit_metaball_mode.c index 600b77f46bf..90c5676727f 100644 --- a/source/blender/draw/modes/edit_metaball_mode.c +++ b/source/blender/draw/modes/edit_metaball_mode.c @@ -42,177 +42,175 @@ * for EDIT_METABALL_PassList */ typedef struct EDIT_METABALL_PassList { - /* Declare all passes here and init them in - * EDIT_METABALL_cache_init(). - * Only contains (DRWPass *) */ - struct DRWPass *pass; + /* Declare all passes here and init them in + * EDIT_METABALL_cache_init(). + * Only contains (DRWPass *) */ + struct DRWPass *pass; } EDIT_METABALL_PassList; typedef struct EDIT_METABALL_FramebufferList { - /* Contains all framebuffer objects needed by this engine. - * Only contains (GPUFrameBuffer *) */ - struct GPUFrameBuffer *fb; + /* Contains all framebuffer objects needed by this engine. + * Only contains (GPUFrameBuffer *) */ + struct GPUFrameBuffer *fb; } EDIT_METABALL_FramebufferList; typedef struct EDIT_METABALL_TextureList { - /* Contains all framebuffer textures / utility textures - * needed by this engine. Only viewport specific textures - * (not per object). Only contains (GPUTexture *) */ - struct GPUTexture *texture; + /* Contains all framebuffer textures / utility textures + * needed by this engine. Only viewport specific textures + * (not per object). Only contains (GPUTexture *) */ + struct GPUTexture *texture; } EDIT_METABALL_TextureList; typedef struct EDIT_METABALL_StorageList { - /* Contains any other memory block that the engine needs. - * Only directly MEM_(m/c)allocN'ed blocks because they are - * free with MEM_freeN() when viewport is freed. - * (not per object) */ - // struct CustomStruct *block; - struct EDIT_METABALL_PrivateData *g_data; + /* Contains any other memory block that the engine needs. + * Only directly MEM_(m/c)allocN'ed blocks because they are + * free with MEM_freeN() when viewport is freed. + * (not per object) */ + // struct CustomStruct *block; + struct EDIT_METABALL_PrivateData *g_data; } EDIT_METABALL_StorageList; typedef struct EDIT_METABALL_Data { - /* Struct returned by DRW_viewport_engine_data_ensure. - * If you don't use one of these, just make it a (void *) */ - // void *fbl; - void *engine_type; /* Required */ - EDIT_METABALL_FramebufferList *fbl; - EDIT_METABALL_TextureList *txl; - EDIT_METABALL_PassList *psl; - EDIT_METABALL_StorageList *stl; + /* Struct returned by DRW_viewport_engine_data_ensure. + * If you don't use one of these, just make it a (void *) */ + // void *fbl; + void *engine_type; /* Required */ + EDIT_METABALL_FramebufferList *fbl; + EDIT_METABALL_TextureList *txl; + EDIT_METABALL_PassList *psl; + EDIT_METABALL_StorageList *stl; } EDIT_METABALL_Data; /* *********** STATIC *********** */ typedef struct EDIT_METABALL_PrivateData { - /* This keeps the references of the shading groups for - * easy access in EDIT_METABALL_cache_populate() */ - DRWShadingGroup *group; + /* This keeps the references of the shading groups for + * easy access in EDIT_METABALL_cache_populate() */ + DRWShadingGroup *group; } EDIT_METABALL_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ static void EDIT_METABALL_engine_init(void *UNUSED(vedata)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void EDIT_METABALL_cache_init(void *vedata) { - EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; - EDIT_METABALL_StorageList *stl = ((EDIT_METABALL_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - { - /* Create a pass */ - DRWState state = ( - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_BLEND | DRW_STATE_WIRE); - psl->pass = DRW_pass_create("My Pass", state); - - /* Create a shadingGroup using a function in draw_common.c or custom one */ - stl->g_data->group = shgroup_instance_mball_handles(psl->pass, draw_ctx->sh_cfg); - } + EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; + EDIT_METABALL_StorageList *stl = ((EDIT_METABALL_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + { + /* Create a pass */ + DRWState state = (DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND | DRW_STATE_WIRE); + psl->pass = DRW_pass_create("My Pass", state); + + /* Create a shadingGroup using a function in draw_common.c or custom one */ + stl->g_data->group = shgroup_instance_mball_handles(psl->pass, draw_ctx->sh_cfg); + } } /* Add geometry to shadingGroups. Execute for each objects */ static void EDIT_METABALL_cache_populate(void *vedata, Object *ob) { - //EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; - EDIT_METABALL_StorageList *stl = ((EDIT_METABALL_Data *)vedata)->stl; - - if (ob->type == OB_MBALL) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - DRWShadingGroup *group = stl->g_data->group; - - if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { - MetaBall *mb = ob->data; - - const float *color; - const float col_radius[3] = {0.63, 0.19, 0.19}; /* 0x3030A0 */ - const float col_radius_select[3] = {0.94, 0.63, 0.63}; /* 0xA0A0F0 */ - const float col_stiffness[3] = {0.19, 0.63, 0.19}; /* 0x30A030 */ - const float col_stiffness_select[3] = {0.63, 0.94, 0.63}; /* 0xA0F0A0 */ - - const bool is_select = DRW_state_is_select(); - - float draw_scale_xform[3][4]; /* Matrix of Scale and Translation */ - { - float scamat[3][3]; - copy_m3_m4(scamat, ob->obmat); - /* Get the normalized inverse matrix to extract only - * the scale of Scamat */ - float iscamat[3][3]; - invert_m3_m3(iscamat, scamat); - normalize_m3(iscamat); - mul_m3_m3_post(scamat, iscamat); - - copy_v3_v3(draw_scale_xform[0], scamat[0]); - copy_v3_v3(draw_scale_xform[1], scamat[1]); - copy_v3_v3(draw_scale_xform[2], scamat[2]); - } - - int select_id = ob->select_id; - for (MetaElem *ml = mb->editelems->first; ml != NULL; ml = ml->next, select_id += 0x10000) { - float world_pos[3]; - mul_v3_m4v3(world_pos, ob->obmat, &ml->x); - draw_scale_xform[0][3] = world_pos[0]; - draw_scale_xform[1][3] = world_pos[1]; - draw_scale_xform[2][3] = world_pos[2]; - - float draw_stiffness_radius = ml->rad * atanf(ml->s) / (float)M_PI_2; - - if ((ml->flag & SELECT) && (ml->flag & MB_SCALE_RAD)) { - color = col_radius_select; - } - else { - color = col_radius; - } - - if (is_select) { - DRW_select_load_id(select_id | MBALLSEL_RADIUS); - } - - DRW_shgroup_call_dynamic_add(group, draw_scale_xform, &ml->rad, color); - - if ((ml->flag & SELECT) && !(ml->flag & MB_SCALE_RAD)) { - color = col_stiffness_select; - } - else { - color = col_stiffness; - } - - if (is_select) { - DRW_select_load_id(select_id | MBALLSEL_STIFF); - } - - DRW_shgroup_call_dynamic_add(group, draw_scale_xform, &draw_stiffness_radius, color); - } - } - } + //EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; + EDIT_METABALL_StorageList *stl = ((EDIT_METABALL_Data *)vedata)->stl; + + if (ob->type == OB_MBALL) { + const DRWContextState *draw_ctx = DRW_context_state_get(); + DRWShadingGroup *group = stl->g_data->group; + + if ((ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob)) { + MetaBall *mb = ob->data; + + const float *color; + const float col_radius[3] = {0.63, 0.19, 0.19}; /* 0x3030A0 */ + const float col_radius_select[3] = {0.94, 0.63, 0.63}; /* 0xA0A0F0 */ + const float col_stiffness[3] = {0.19, 0.63, 0.19}; /* 0x30A030 */ + const float col_stiffness_select[3] = {0.63, 0.94, 0.63}; /* 0xA0F0A0 */ + + const bool is_select = DRW_state_is_select(); + + float draw_scale_xform[3][4]; /* Matrix of Scale and Translation */ + { + float scamat[3][3]; + copy_m3_m4(scamat, ob->obmat); + /* Get the normalized inverse matrix to extract only + * the scale of Scamat */ + float iscamat[3][3]; + invert_m3_m3(iscamat, scamat); + normalize_m3(iscamat); + mul_m3_m3_post(scamat, iscamat); + + copy_v3_v3(draw_scale_xform[0], scamat[0]); + copy_v3_v3(draw_scale_xform[1], scamat[1]); + copy_v3_v3(draw_scale_xform[2], scamat[2]); + } + + int select_id = ob->select_id; + for (MetaElem *ml = mb->editelems->first; ml != NULL; ml = ml->next, select_id += 0x10000) { + float world_pos[3]; + mul_v3_m4v3(world_pos, ob->obmat, &ml->x); + draw_scale_xform[0][3] = world_pos[0]; + draw_scale_xform[1][3] = world_pos[1]; + draw_scale_xform[2][3] = world_pos[2]; + + float draw_stiffness_radius = ml->rad * atanf(ml->s) / (float)M_PI_2; + + if ((ml->flag & SELECT) && (ml->flag & MB_SCALE_RAD)) { + color = col_radius_select; + } + else { + color = col_radius; + } + + if (is_select) { + DRW_select_load_id(select_id | MBALLSEL_RADIUS); + } + + DRW_shgroup_call_dynamic_add(group, draw_scale_xform, &ml->rad, color); + + if ((ml->flag & SELECT) && !(ml->flag & MB_SCALE_RAD)) { + color = col_stiffness_select; + } + else { + color = col_stiffness; + } + + if (is_select) { + DRW_select_load_id(select_id | MBALLSEL_STIFF); + } + + DRW_shgroup_call_dynamic_add(group, draw_scale_xform, &draw_stiffness_radius, color); + } + } + } } /* Draw time ! Control rendering pipeline from here */ static void EDIT_METABALL_draw_scene(void *vedata) { - EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; - /* render passes on default framebuffer. */ - DRW_draw_pass(psl->pass); + EDIT_METABALL_PassList *psl = ((EDIT_METABALL_Data *)vedata)->psl; + /* render passes on default framebuffer. */ + DRW_draw_pass(psl->pass); - /* If you changed framebuffer, double check you rebind - * the default one with its textures attached before finishing */ + /* If you changed framebuffer, double check you rebind + * the default one with its textures attached before finishing */ - DRW_state_clip_planes_reset(); + DRW_state_clip_planes_reset(); } /* Cleanup when destroying the engine. @@ -220,22 +218,24 @@ static void EDIT_METABALL_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void EDIT_METABALL_engine_free(void) { - // DRW_SHADER_FREE_SAFE(custom_shader); + // DRW_SHADER_FREE_SAFE(custom_shader); } -static const DrawEngineDataSize EDIT_METABALL_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_METABALL_Data); +static const DrawEngineDataSize EDIT_METABALL_data_size = DRW_VIEWPORT_DATA_SIZE( + EDIT_METABALL_Data); DrawEngineType draw_engine_edit_metaball_type = { - NULL, NULL, - N_("EditMetaballMode"), - &EDIT_METABALL_data_size, - &EDIT_METABALL_engine_init, - &EDIT_METABALL_engine_free, - &EDIT_METABALL_cache_init, - &EDIT_METABALL_cache_populate, - NULL, - NULL, /* draw_background but not needed by mode engines */ - &EDIT_METABALL_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditMetaballMode"), + &EDIT_METABALL_data_size, + &EDIT_METABALL_engine_init, + &EDIT_METABALL_engine_free, + &EDIT_METABALL_cache_init, + &EDIT_METABALL_cache_populate, + NULL, + NULL, /* draw_background but not needed by mode engines */ + &EDIT_METABALL_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/edit_text_mode.c b/source/blender/draw/modes/edit_text_mode.c index caebc94f3ce..5f44a74b24e 100644 --- a/source/blender/draw/modes/edit_text_mode.c +++ b/source/blender/draw/modes/edit_text_mode.c @@ -43,67 +43,67 @@ * for EDIT_TEXT_PassList */ typedef struct EDIT_TEXT_PassList { - /* Declare all passes here and init them in - * EDIT_TEXT_cache_init(). - * Only contains (DRWPass *) */ - struct DRWPass *wire_pass; - struct DRWPass *overlay_select_pass; - struct DRWPass *overlay_cursor_pass; - struct DRWPass *text_box_pass; + /* Declare all passes here and init them in + * EDIT_TEXT_cache_init(). + * Only contains (DRWPass *) */ + struct DRWPass *wire_pass; + struct DRWPass *overlay_select_pass; + struct DRWPass *overlay_cursor_pass; + struct DRWPass *text_box_pass; } EDIT_TEXT_PassList; typedef struct EDIT_TEXT_FramebufferList { - /* Contains all framebuffer objects needed by this engine. - * Only contains (GPUFrameBuffer *) */ - struct GPUFrameBuffer *fb; + /* Contains all framebuffer objects needed by this engine. + * Only contains (GPUFrameBuffer *) */ + struct GPUFrameBuffer *fb; } EDIT_TEXT_FramebufferList; typedef struct EDIT_TEXT_TextureList { - /* Contains all framebuffer textures / utility textures - * needed by this engine. Only viewport specific textures - * (not per object). Only contains (GPUTexture *) */ - struct GPUTexture *texture; + /* Contains all framebuffer textures / utility textures + * needed by this engine. Only viewport specific textures + * (not per object). Only contains (GPUTexture *) */ + struct GPUTexture *texture; } EDIT_TEXT_TextureList; typedef struct EDIT_TEXT_StorageList { - /* Contains any other memory block that the engine needs. - * Only directly MEM_(m/c)allocN'ed blocks because they are - * free with MEM_freeN() when viewport is freed. - * (not per object) */ - struct CustomStruct *block; - struct EDIT_TEXT_PrivateData *g_data; + /* Contains any other memory block that the engine needs. + * Only directly MEM_(m/c)allocN'ed blocks because they are + * free with MEM_freeN() when viewport is freed. + * (not per object) */ + struct CustomStruct *block; + struct EDIT_TEXT_PrivateData *g_data; } EDIT_TEXT_StorageList; typedef struct EDIT_TEXT_Data { - /* Struct returned by DRW_viewport_engine_data_ensure. - * If you don't use one of these, just make it a (void *) */ - // void *fbl; - void *engine_type; /* Required */ - EDIT_TEXT_FramebufferList *fbl; - EDIT_TEXT_TextureList *txl; - EDIT_TEXT_PassList *psl; - EDIT_TEXT_StorageList *stl; + /* Struct returned by DRW_viewport_engine_data_ensure. + * If you don't use one of these, just make it a (void *) */ + // void *fbl; + void *engine_type; /* Required */ + EDIT_TEXT_FramebufferList *fbl; + EDIT_TEXT_TextureList *txl; + EDIT_TEXT_PassList *psl; + EDIT_TEXT_StorageList *stl; } EDIT_TEXT_Data; /* *********** STATIC *********** */ static struct { - /* Custom shaders : - * Add sources to source/blender/draw/modes/shaders - * init in EDIT_TEXT_engine_init(); - * free in EDIT_TEXT_engine_free(); */ - GPUShader *wire_sh; - GPUShader *overlay_select_sh; - GPUShader *overlay_cursor_sh; + /* Custom shaders : + * Add sources to source/blender/draw/modes/shaders + * init in EDIT_TEXT_engine_init(); + * free in EDIT_TEXT_engine_free(); */ + GPUShader *wire_sh; + GPUShader *overlay_select_sh; + GPUShader *overlay_cursor_sh; } e_data = {NULL}; /* Engine data */ typedef struct EDIT_TEXT_PrivateData { - /* resulting curve as 'wire' for fast editmode drawing */ - DRWShadingGroup *wire_shgrp; - DRWShadingGroup *overlay_select_shgrp; - DRWShadingGroup *overlay_cursor_shgrp; - DRWShadingGroup *box_shgrp; - DRWShadingGroup *box_active_shgrp; + /* resulting curve as 'wire' for fast editmode drawing */ + DRWShadingGroup *wire_shgrp; + DRWShadingGroup *overlay_select_shgrp; + DRWShadingGroup *overlay_cursor_shgrp; + DRWShadingGroup *box_shgrp; + DRWShadingGroup *box_active_shgrp; } EDIT_TEXT_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ @@ -113,285 +113,285 @@ typedef struct EDIT_TEXT_PrivateData { * (Optional) */ static void EDIT_TEXT_engine_init(void *vedata) { - EDIT_TEXT_TextureList *txl = ((EDIT_TEXT_Data *)vedata)->txl; - EDIT_TEXT_FramebufferList *fbl = ((EDIT_TEXT_Data *)vedata)->fbl; - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - - UNUSED_VARS(txl, fbl, stl); - - /* Init Framebuffers like this: order is attachment order (for color texs) */ - /* - * DRWFboTexture tex[2] = {{&txl->depth, GPU_DEPTH_COMPONENT24, 0}, - * {&txl->color, GPU_RGBA8, DRW_TEX_FILTER}}; - */ - - /* DRW_framebuffer_init takes care of checking if - * the framebuffer is valid and has the right size*/ - /* - * float *viewport_size = DRW_viewport_size_get(); - * DRW_framebuffer_init(&fbl->occlude_wire_fb, - * (int)viewport_size[0], (int)viewport_size[1], - * tex, 2); - */ - - if (!e_data.wire_sh) { - e_data.wire_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - } - - if (!e_data.overlay_select_sh) { - e_data.overlay_select_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - } - - if (!e_data.overlay_cursor_sh) { - e_data.overlay_cursor_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - } + EDIT_TEXT_TextureList *txl = ((EDIT_TEXT_Data *)vedata)->txl; + EDIT_TEXT_FramebufferList *fbl = ((EDIT_TEXT_Data *)vedata)->fbl; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + + UNUSED_VARS(txl, fbl, stl); + + /* Init Framebuffers like this: order is attachment order (for color texs) */ + /* + * DRWFboTexture tex[2] = {{&txl->depth, GPU_DEPTH_COMPONENT24, 0}, + * {&txl->color, GPU_RGBA8, DRW_TEX_FILTER}}; + */ + + /* DRW_framebuffer_init takes care of checking if + * the framebuffer is valid and has the right size*/ + /* + * float *viewport_size = DRW_viewport_size_get(); + * DRW_framebuffer_init(&fbl->occlude_wire_fb, + * (int)viewport_size[0], (int)viewport_size[1], + * tex, 2); + */ + + if (!e_data.wire_sh) { + e_data.wire_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + } + + if (!e_data.overlay_select_sh) { + e_data.overlay_select_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + } + + if (!e_data.overlay_cursor_sh) { + e_data.overlay_cursor_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + } } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void EDIT_TEXT_cache_init(void *vedata) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - { - /* Text outline (fast drawing!) */ - psl->wire_pass = DRW_pass_create( - "Font Wire", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); - stl->g_data->wire_shgrp = DRW_shgroup_create(e_data.wire_sh, psl->wire_pass); - - psl->overlay_select_pass = DRW_pass_create( - "Font Select", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); - stl->g_data->overlay_select_shgrp = DRW_shgroup_create(e_data.overlay_select_sh, psl->overlay_select_pass); - - psl->overlay_cursor_pass = DRW_pass_create( - "Font Cursor", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); - stl->g_data->overlay_cursor_shgrp = DRW_shgroup_create(e_data.overlay_cursor_sh, psl->overlay_cursor_pass); - - psl->text_box_pass = DRW_pass_create( - "Font Text Boxes", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); - stl->g_data->box_shgrp = shgroup_dynlines_dashed_uniform_color(psl->text_box_pass, G_draw.block.colorWire, draw_ctx->sh_cfg); - stl->g_data->box_active_shgrp = shgroup_dynlines_dashed_uniform_color(psl->text_box_pass, G_draw.block.colorActive, draw_ctx->sh_cfg); - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + { + /* Text outline (fast drawing!) */ + psl->wire_pass = DRW_pass_create("Font Wire", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE); + stl->g_data->wire_shgrp = DRW_shgroup_create(e_data.wire_sh, psl->wire_pass); + + psl->overlay_select_pass = DRW_pass_create("Font Select", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); + stl->g_data->overlay_select_shgrp = DRW_shgroup_create(e_data.overlay_select_sh, + psl->overlay_select_pass); + + psl->overlay_cursor_pass = DRW_pass_create("Font Cursor", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); + stl->g_data->overlay_cursor_shgrp = DRW_shgroup_create(e_data.overlay_cursor_sh, + psl->overlay_cursor_pass); + + psl->text_box_pass = DRW_pass_create("Font Text Boxes", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH); + stl->g_data->box_shgrp = shgroup_dynlines_dashed_uniform_color( + psl->text_box_pass, G_draw.block.colorWire, draw_ctx->sh_cfg); + stl->g_data->box_active_shgrp = shgroup_dynlines_dashed_uniform_color( + psl->text_box_pass, G_draw.block.colorActive, draw_ctx->sh_cfg); + } } /* Use 2D quad corners to create a matrix that set * a [-1..1] quad at the right position. */ static void v2_quad_corners_to_mat4(float corners[4][2], float r_mat[4][4]) { - unit_m4(r_mat); - sub_v2_v2v2(r_mat[0], corners[1], corners[0]); - sub_v2_v2v2(r_mat[1], corners[3], corners[0]); - mul_v2_fl(r_mat[0], 0.5f); - mul_v2_fl(r_mat[1], 0.5f); - copy_v2_v2(r_mat[3], corners[0]); - add_v2_v2(r_mat[3], r_mat[0]); - add_v2_v2(r_mat[3], r_mat[1]); + unit_m4(r_mat); + sub_v2_v2v2(r_mat[0], corners[1], corners[0]); + sub_v2_v2v2(r_mat[1], corners[3], corners[0]); + mul_v2_fl(r_mat[0], 0.5f); + mul_v2_fl(r_mat[1], 0.5f); + copy_v2_v2(r_mat[3], corners[0]); + add_v2_v2(r_mat[3], r_mat[0]); + add_v2_v2(r_mat[3], r_mat[1]); } static void edit_text_cache_populate_select(void *vedata, Object *ob) { - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - const Curve *cu = ob->data; - EditFont *ef = cu->editfont; - float final_mat[4][4], box[4][2]; - struct GPUBatch *geom = DRW_cache_quad_get(); - - for (int i = 0; i < ef->selboxes_len; i++) { - EditFontSelBox *sb = &ef->selboxes[i]; - - float selboxw; - if (i + 1 != ef->selboxes_len) { - if (ef->selboxes[i + 1].y == sb->y) { - selboxw = ef->selboxes[i + 1].x - sb->x; - } - else { - selboxw = sb->w; - } - } - else { - selboxw = sb->w; - } - /* NOTE: v2_quad_corners_to_mat4 don't need the 3rd corner. */ - if (sb->rot == 0.0f) { - copy_v2_fl2(box[0], sb->x, sb->y); - copy_v2_fl2(box[1], sb->x + selboxw, sb->y); - copy_v2_fl2(box[3], sb->x, sb->y + sb->h); - } - else { - float mat[2][2]; - angle_to_mat2(mat, sb->rot); - copy_v2_fl2(box[0], sb->x, sb->y); - mul_v2_v2fl(box[1], mat[0], selboxw); - add_v2_v2(box[1], &sb->x); - mul_v2_v2fl(box[3], mat[1], sb->h); - add_v2_v2(box[3], &sb->x); - } - v2_quad_corners_to_mat4(box, final_mat); - mul_m4_m4m4(final_mat, ob->obmat, final_mat); - - DRW_shgroup_call_add(stl->g_data->overlay_select_shgrp, geom, final_mat); - } + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + const Curve *cu = ob->data; + EditFont *ef = cu->editfont; + float final_mat[4][4], box[4][2]; + struct GPUBatch *geom = DRW_cache_quad_get(); + + for (int i = 0; i < ef->selboxes_len; i++) { + EditFontSelBox *sb = &ef->selboxes[i]; + + float selboxw; + if (i + 1 != ef->selboxes_len) { + if (ef->selboxes[i + 1].y == sb->y) { + selboxw = ef->selboxes[i + 1].x - sb->x; + } + else { + selboxw = sb->w; + } + } + else { + selboxw = sb->w; + } + /* NOTE: v2_quad_corners_to_mat4 don't need the 3rd corner. */ + if (sb->rot == 0.0f) { + copy_v2_fl2(box[0], sb->x, sb->y); + copy_v2_fl2(box[1], sb->x + selboxw, sb->y); + copy_v2_fl2(box[3], sb->x, sb->y + sb->h); + } + else { + float mat[2][2]; + angle_to_mat2(mat, sb->rot); + copy_v2_fl2(box[0], sb->x, sb->y); + mul_v2_v2fl(box[1], mat[0], selboxw); + add_v2_v2(box[1], &sb->x); + mul_v2_v2fl(box[3], mat[1], sb->h); + add_v2_v2(box[3], &sb->x); + } + v2_quad_corners_to_mat4(box, final_mat); + mul_m4_m4m4(final_mat, ob->obmat, final_mat); + + DRW_shgroup_call_add(stl->g_data->overlay_select_shgrp, geom, final_mat); + } } static void edit_text_cache_populate_cursor(void *vedata, Object *ob) { - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - const Curve *cu = ob->data; - EditFont *edit_font = cu->editfont; - float (*cursor)[2] = edit_font->textcurs; - float mat[4][4]; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + const Curve *cu = ob->data; + EditFont *edit_font = cu->editfont; + float(*cursor)[2] = edit_font->textcurs; + float mat[4][4]; - v2_quad_corners_to_mat4(cursor, mat); - mul_m4_m4m4(mat, ob->obmat, mat); + v2_quad_corners_to_mat4(cursor, mat); + mul_m4_m4m4(mat, ob->obmat, mat); - struct GPUBatch *geom = DRW_cache_quad_get(); - DRW_shgroup_call_add(stl->g_data->overlay_cursor_shgrp, geom, mat); + struct GPUBatch *geom = DRW_cache_quad_get(); + DRW_shgroup_call_add(stl->g_data->overlay_cursor_shgrp, geom, mat); } static void edit_text_cache_populate_boxes(void *vedata, Object *ob) { - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - const Curve *cu = ob->data; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + const Curve *cu = ob->data; - DRWShadingGroup *shading_groups[] = { - stl->g_data->box_active_shgrp, - stl->g_data->box_shgrp, - }; + DRWShadingGroup *shading_groups[] = { + stl->g_data->box_active_shgrp, + stl->g_data->box_shgrp, + }; - float vec[3], vec1[3], vec2[3]; - for (int i = 0; i < cu->totbox; i++) { - TextBox *tb = &cu->tb[i]; + float vec[3], vec1[3], vec2[3]; + for (int i = 0; i < cu->totbox; i++) { + TextBox *tb = &cu->tb[i]; - if ((tb->w == 0.0f) && (tb->h == 0.0f)) { - continue; - } + if ((tb->w == 0.0f) && (tb->h == 0.0f)) { + continue; + } - const bool is_active = i == (cu->actbox - 1); - DRWShadingGroup *shading_group = shading_groups[is_active ? 0 : 1]; + const bool is_active = i == (cu->actbox - 1); + DRWShadingGroup *shading_group = shading_groups[is_active ? 0 : 1]; - vec[0] = cu->xof + tb->x; - vec[1] = cu->yof + tb->y + cu->fsize_realtime; - vec[2] = 0.001; + vec[0] = cu->xof + tb->x; + vec[1] = cu->yof + tb->y + cu->fsize_realtime; + vec[2] = 0.001; - mul_v3_m4v3(vec1, ob->obmat, vec); - vec[0] += tb->w; - mul_v3_m4v3(vec2, ob->obmat, vec); + mul_v3_m4v3(vec1, ob->obmat, vec); + vec[0] += tb->w; + mul_v3_m4v3(vec2, ob->obmat, vec); - DRW_shgroup_call_dynamic_add(shading_group, vec1); - DRW_shgroup_call_dynamic_add(shading_group, vec2); + DRW_shgroup_call_dynamic_add(shading_group, vec1); + DRW_shgroup_call_dynamic_add(shading_group, vec2); - vec[1] -= tb->h; - copy_v3_v3(vec1, vec2); - mul_v3_m4v3(vec2, ob->obmat, vec); + vec[1] -= tb->h; + copy_v3_v3(vec1, vec2); + mul_v3_m4v3(vec2, ob->obmat, vec); - DRW_shgroup_call_dynamic_add(shading_group, vec1); - DRW_shgroup_call_dynamic_add(shading_group, vec2); + DRW_shgroup_call_dynamic_add(shading_group, vec1); + DRW_shgroup_call_dynamic_add(shading_group, vec2); - vec[0] -= tb->w; - copy_v3_v3(vec1, vec2); - mul_v3_m4v3(vec2, ob->obmat, vec); + vec[0] -= tb->w; + copy_v3_v3(vec1, vec2); + mul_v3_m4v3(vec2, ob->obmat, vec); - DRW_shgroup_call_dynamic_add(shading_group, vec1); - DRW_shgroup_call_dynamic_add(shading_group, vec2); + DRW_shgroup_call_dynamic_add(shading_group, vec1); + DRW_shgroup_call_dynamic_add(shading_group, vec2); - vec[1] += tb->h; - copy_v3_v3(vec1, vec2); - mul_v3_m4v3(vec2, ob->obmat, vec); + vec[1] += tb->h; + copy_v3_v3(vec1, vec2); + mul_v3_m4v3(vec2, ob->obmat, vec); - DRW_shgroup_call_dynamic_add(shading_group, vec1); - DRW_shgroup_call_dynamic_add(shading_group, vec2); - } + DRW_shgroup_call_dynamic_add(shading_group, vec1); + DRW_shgroup_call_dynamic_add(shading_group, vec2); + } } /* Add geometry to shadingGroups. Execute for each objects */ static void EDIT_TEXT_cache_populate(void *vedata, Object *ob) { - EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - UNUSED_VARS(psl, stl); - - if (ob->type == OB_FONT) { - if (ob == draw_ctx->object_edit) { - const Curve *cu = ob->data; - /* Get geometry cache */ - struct GPUBatch *geom; - - bool has_surface = (cu->flag & (CU_FRONT | CU_BACK)) || cu->ext1 != 0.0f || cu->ext2 != 0.0f; - if ((cu->flag & CU_FAST) || !has_surface) { - geom = DRW_cache_text_edge_wire_get(ob); - if (geom) { - DRW_shgroup_call_add(stl->g_data->wire_shgrp, geom, ob->obmat); - } - } - else { - /* object mode draws */ - } - - edit_text_cache_populate_select(vedata, ob); - edit_text_cache_populate_cursor(vedata, ob); - edit_text_cache_populate_boxes(vedata, ob); - } - } + EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + UNUSED_VARS(psl, stl); + + if (ob->type == OB_FONT) { + if (ob == draw_ctx->object_edit) { + const Curve *cu = ob->data; + /* Get geometry cache */ + struct GPUBatch *geom; + + bool has_surface = (cu->flag & (CU_FRONT | CU_BACK)) || cu->ext1 != 0.0f || cu->ext2 != 0.0f; + if ((cu->flag & CU_FAST) || !has_surface) { + geom = DRW_cache_text_edge_wire_get(ob); + if (geom) { + DRW_shgroup_call_add(stl->g_data->wire_shgrp, geom, ob->obmat); + } + } + else { + /* object mode draws */ + } + + edit_text_cache_populate_select(vedata, ob); + edit_text_cache_populate_cursor(vedata, ob); + edit_text_cache_populate_boxes(vedata, ob); + } + } } /* Optional: Post-cache_populate callback */ static void EDIT_TEXT_cache_finish(void *vedata) { - EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; - EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; + EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; + EDIT_TEXT_StorageList *stl = ((EDIT_TEXT_Data *)vedata)->stl; - /* Do something here! dependent on the objects gathered */ - UNUSED_VARS(psl, stl); + /* Do something here! dependent on the objects gathered */ + UNUSED_VARS(psl, stl); } /* Draw time ! Control rendering pipeline from here */ static void EDIT_TEXT_draw_scene(void *vedata) { - EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; - EDIT_TEXT_FramebufferList *fbl = ((EDIT_TEXT_Data *)vedata)->fbl; + EDIT_TEXT_PassList *psl = ((EDIT_TEXT_Data *)vedata)->psl; + EDIT_TEXT_FramebufferList *fbl = ((EDIT_TEXT_Data *)vedata)->fbl; - /* Default framebuffer and texture */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* Default framebuffer and texture */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - UNUSED_VARS(fbl, dfbl, dtxl); + UNUSED_VARS(fbl, dfbl, dtxl); - /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ - /* - * DRW_framebuffer_texture_detach(dtxl->depth); - * DRW_framebuffer_bind(fbl->custom_fb); - * DRW_draw_pass(psl->pass); - * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); - * DRW_framebuffer_bind(dfbl->default_fb); - */ + /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ + /* + * DRW_framebuffer_texture_detach(dtxl->depth); + * DRW_framebuffer_bind(fbl->custom_fb); + * DRW_draw_pass(psl->pass); + * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); + * DRW_framebuffer_bind(dfbl->default_fb); + */ - DRW_draw_pass(psl->wire_pass); + DRW_draw_pass(psl->wire_pass); - if (!DRW_pass_is_empty(psl->text_box_pass)) { - DRW_draw_pass(psl->text_box_pass); - } + if (!DRW_pass_is_empty(psl->text_box_pass)) { + DRW_draw_pass(psl->text_box_pass); + } - set_inverted_drawing(1); - DRW_draw_pass(psl->overlay_select_pass); - DRW_draw_pass(psl->overlay_cursor_pass); - set_inverted_drawing(0); + set_inverted_drawing(1); + DRW_draw_pass(psl->overlay_select_pass); + DRW_draw_pass(psl->overlay_cursor_pass); + set_inverted_drawing(0); - /* If you changed framebuffer, double check you rebind - * the default one with its textures attached before finishing */ + /* If you changed framebuffer, double check you rebind + * the default one with its textures attached before finishing */ } /* Cleanup when destroying the engine. @@ -399,22 +399,23 @@ static void EDIT_TEXT_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void EDIT_TEXT_engine_free(void) { - // DRW_SHADER_FREE_SAFE(custom_shader); + // DRW_SHADER_FREE_SAFE(custom_shader); } static const DrawEngineDataSize EDIT_TEXT_data_size = DRW_VIEWPORT_DATA_SIZE(EDIT_TEXT_Data); DrawEngineType draw_engine_edit_text_type = { - NULL, NULL, - N_("EditTextMode"), - &EDIT_TEXT_data_size, - &EDIT_TEXT_engine_init, - &EDIT_TEXT_engine_free, - &EDIT_TEXT_cache_init, - &EDIT_TEXT_cache_populate, - &EDIT_TEXT_cache_finish, - NULL, /* draw_background but not needed by mode engines */ - &EDIT_TEXT_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("EditTextMode"), + &EDIT_TEXT_data_size, + &EDIT_TEXT_engine_init, + &EDIT_TEXT_engine_free, + &EDIT_TEXT_cache_init, + &EDIT_TEXT_cache_populate, + &EDIT_TEXT_cache_finish, + NULL, /* draw_background but not needed by mode engines */ + &EDIT_TEXT_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/object_mode.c b/source/blender/draw/modes/object_mode.c index 7b6519a6863..ec49b4dbe51 100644 --- a/source/blender/draw/modes/object_mode.c +++ b/source/blender/draw/modes/object_mode.c @@ -95,3339 +95,3464 @@ extern char datatoc_gpu_shader_3D_vert_glsl[]; /* *********** LISTS *********** */ typedef struct OBJECT_PassList { - struct DRWPass *non_meshes[2]; - struct DRWPass *image_empties[2]; - struct DRWPass *transp_shapes[2]; - struct DRWPass *ob_center; - struct DRWPass *outlines; - struct DRWPass *outlines_search; - struct DRWPass *outlines_expand; - struct DRWPass *outlines_bleed; - struct DRWPass *outlines_resolve; - struct DRWPass *grid; - struct DRWPass *bone_solid[2]; - struct DRWPass *bone_outline[2]; - struct DRWPass *bone_wire[2]; - struct DRWPass *bone_envelope[2]; - struct DRWPass *bone_axes[2]; - struct DRWPass *particle; - struct DRWPass *lightprobes; + struct DRWPass *non_meshes[2]; + struct DRWPass *image_empties[2]; + struct DRWPass *transp_shapes[2]; + struct DRWPass *ob_center; + struct DRWPass *outlines; + struct DRWPass *outlines_search; + struct DRWPass *outlines_expand; + struct DRWPass *outlines_bleed; + struct DRWPass *outlines_resolve; + struct DRWPass *grid; + struct DRWPass *bone_solid[2]; + struct DRWPass *bone_outline[2]; + struct DRWPass *bone_wire[2]; + struct DRWPass *bone_envelope[2]; + struct DRWPass *bone_axes[2]; + struct DRWPass *particle; + struct DRWPass *lightprobes; } OBJECT_PassList; typedef struct OBJECT_FramebufferList { - struct GPUFrameBuffer *outlines_fb; - struct GPUFrameBuffer *blur_fb; - struct GPUFrameBuffer *expand_fb; - struct GPUFrameBuffer *ghost_fb; + struct GPUFrameBuffer *outlines_fb; + struct GPUFrameBuffer *blur_fb; + struct GPUFrameBuffer *expand_fb; + struct GPUFrameBuffer *ghost_fb; } OBJECT_FramebufferList; typedef struct OBJECT_StorageList { - struct OBJECT_PrivateData *g_data; + struct OBJECT_PrivateData *g_data; } OBJECT_StorageList; typedef struct OBJECT_Data { - void *engine_type; - OBJECT_FramebufferList *fbl; - DRWViewportEmptyList *txl; - OBJECT_PassList *psl; - OBJECT_StorageList *stl; + void *engine_type; + OBJECT_FramebufferList *fbl; + DRWViewportEmptyList *txl; + OBJECT_PassList *psl; + OBJECT_StorageList *stl; } OBJECT_Data; typedef struct OBJECT_Shaders { - /* fullscreen shaders */ - GPUShader *outline_prepass; - GPUShader *outline_prepass_wire; - GPUShader *outline_resolve; - GPUShader *outline_resolve_aa; - GPUShader *outline_detect; - GPUShader *outline_detect_wire; - GPUShader *outline_fade; - GPUShader *outline_fade_large; - - /* regular shaders */ - GPUShader *object_empty_image; - GPUShader *object_empty_image_wire; - GPUShader *grid; - GPUShader *part_dot; - GPUShader *part_prim; - GPUShader *part_axis; - GPUShader *lightprobe_grid; - GPUShader *loose_points; + /* fullscreen shaders */ + GPUShader *outline_prepass; + GPUShader *outline_prepass_wire; + GPUShader *outline_resolve; + GPUShader *outline_resolve_aa; + GPUShader *outline_detect; + GPUShader *outline_detect_wire; + GPUShader *outline_fade; + GPUShader *outline_fade_large; + + /* regular shaders */ + GPUShader *object_empty_image; + GPUShader *object_empty_image_wire; + GPUShader *grid; + GPUShader *part_dot; + GPUShader *part_prim; + GPUShader *part_axis; + GPUShader *lightprobe_grid; + GPUShader *loose_points; } OBJECT_Shaders; /* *********** STATIC *********** */ typedef struct OBJECT_ShadingGroupList { - /* Reference only */ - struct DRWPass *non_meshes; - struct DRWPass *image_empties; - struct DRWPass *transp_shapes; - struct DRWPass *bone_solid; - struct DRWPass *bone_outline; - struct DRWPass *bone_wire; - struct DRWPass *bone_envelope; - struct DRWPass *bone_axes; - - /* Empties */ - DRWShadingGroup *plain_axes; - DRWShadingGroup *cube; - DRWShadingGroup *circle; - DRWShadingGroup *sphere; - DRWShadingGroup *sphere_solid; - DRWShadingGroup *cylinder; - DRWShadingGroup *capsule_cap; - DRWShadingGroup *capsule_body; - DRWShadingGroup *cone; - DRWShadingGroup *single_arrow; - DRWShadingGroup *single_arrow_line; - DRWShadingGroup *empty_axes; - - /* Force Field */ - DRWShadingGroup *field_wind; - DRWShadingGroup *field_force; - DRWShadingGroup *field_vortex; - DRWShadingGroup *field_curve_sta; - DRWShadingGroup *field_curve_end; - DRWShadingGroup *field_tube_limit; - DRWShadingGroup *field_cone_limit; - - /* Grease Pencil */ - DRWShadingGroup *gpencil_axes; - - /* Speaker */ - DRWShadingGroup *speaker; - - /* Probe */ - DRWShadingGroup *probe_cube; - DRWShadingGroup *probe_planar; - DRWShadingGroup *probe_grid; - - /* MetaBalls */ - DRWShadingGroup *mball_handle; - - /* Lights */ - DRWShadingGroup *light_center; - DRWShadingGroup *light_groundpoint; - DRWShadingGroup *light_groundline; - DRWShadingGroup *light_circle; - DRWShadingGroup *light_circle_shadow; - DRWShadingGroup *light_sunrays; - DRWShadingGroup *light_distance; - DRWShadingGroup *light_buflimit; - DRWShadingGroup *light_buflimit_points; - DRWShadingGroup *light_area_sphere; - DRWShadingGroup *light_area_square; - DRWShadingGroup *light_area_disk; - DRWShadingGroup *light_hemi; - DRWShadingGroup *light_spot_cone; - DRWShadingGroup *light_spot_blend; - DRWShadingGroup *light_spot_pyramid; - DRWShadingGroup *light_spot_blend_rect; - DRWShadingGroup *light_spot_volume; - DRWShadingGroup *light_spot_volume_rect; - DRWShadingGroup *light_spot_volume_outside; - DRWShadingGroup *light_spot_volume_rect_outside; - - /* Helpers */ - DRWShadingGroup *relationship_lines; - DRWShadingGroup *constraint_lines; - - /* Camera */ - DRWShadingGroup *camera; - DRWShadingGroup *camera_frame; - DRWShadingGroup *camera_tria; - DRWShadingGroup *camera_focus; - DRWShadingGroup *camera_clip; - DRWShadingGroup *camera_clip_points; - DRWShadingGroup *camera_mist; - DRWShadingGroup *camera_mist_points; - DRWShadingGroup *camera_stereo_plane; - DRWShadingGroup *camera_stereo_plane_wires; - DRWShadingGroup *camera_stereo_volume; - DRWShadingGroup *camera_stereo_volume_wires; - ListBase camera_path; - - /* Wire */ - DRWShadingGroup *wire; - DRWShadingGroup *wire_active; - DRWShadingGroup *wire_select; - DRWShadingGroup *wire_transform; - /* Wire (duplicator) */ - DRWShadingGroup *wire_dupli; - DRWShadingGroup *wire_dupli_select; - - /* Points */ - DRWShadingGroup *points; - DRWShadingGroup *points_active; - DRWShadingGroup *points_select; - DRWShadingGroup *points_transform; - /* Points (duplicator) */ - DRWShadingGroup *points_dupli; - DRWShadingGroup *points_dupli_select; - - /* Texture Space */ - DRWShadingGroup *texspace; + /* Reference only */ + struct DRWPass *non_meshes; + struct DRWPass *image_empties; + struct DRWPass *transp_shapes; + struct DRWPass *bone_solid; + struct DRWPass *bone_outline; + struct DRWPass *bone_wire; + struct DRWPass *bone_envelope; + struct DRWPass *bone_axes; + + /* Empties */ + DRWShadingGroup *plain_axes; + DRWShadingGroup *cube; + DRWShadingGroup *circle; + DRWShadingGroup *sphere; + DRWShadingGroup *sphere_solid; + DRWShadingGroup *cylinder; + DRWShadingGroup *capsule_cap; + DRWShadingGroup *capsule_body; + DRWShadingGroup *cone; + DRWShadingGroup *single_arrow; + DRWShadingGroup *single_arrow_line; + DRWShadingGroup *empty_axes; + + /* Force Field */ + DRWShadingGroup *field_wind; + DRWShadingGroup *field_force; + DRWShadingGroup *field_vortex; + DRWShadingGroup *field_curve_sta; + DRWShadingGroup *field_curve_end; + DRWShadingGroup *field_tube_limit; + DRWShadingGroup *field_cone_limit; + + /* Grease Pencil */ + DRWShadingGroup *gpencil_axes; + + /* Speaker */ + DRWShadingGroup *speaker; + + /* Probe */ + DRWShadingGroup *probe_cube; + DRWShadingGroup *probe_planar; + DRWShadingGroup *probe_grid; + + /* MetaBalls */ + DRWShadingGroup *mball_handle; + + /* Lights */ + DRWShadingGroup *light_center; + DRWShadingGroup *light_groundpoint; + DRWShadingGroup *light_groundline; + DRWShadingGroup *light_circle; + DRWShadingGroup *light_circle_shadow; + DRWShadingGroup *light_sunrays; + DRWShadingGroup *light_distance; + DRWShadingGroup *light_buflimit; + DRWShadingGroup *light_buflimit_points; + DRWShadingGroup *light_area_sphere; + DRWShadingGroup *light_area_square; + DRWShadingGroup *light_area_disk; + DRWShadingGroup *light_hemi; + DRWShadingGroup *light_spot_cone; + DRWShadingGroup *light_spot_blend; + DRWShadingGroup *light_spot_pyramid; + DRWShadingGroup *light_spot_blend_rect; + DRWShadingGroup *light_spot_volume; + DRWShadingGroup *light_spot_volume_rect; + DRWShadingGroup *light_spot_volume_outside; + DRWShadingGroup *light_spot_volume_rect_outside; + + /* Helpers */ + DRWShadingGroup *relationship_lines; + DRWShadingGroup *constraint_lines; + + /* Camera */ + DRWShadingGroup *camera; + DRWShadingGroup *camera_frame; + DRWShadingGroup *camera_tria; + DRWShadingGroup *camera_focus; + DRWShadingGroup *camera_clip; + DRWShadingGroup *camera_clip_points; + DRWShadingGroup *camera_mist; + DRWShadingGroup *camera_mist_points; + DRWShadingGroup *camera_stereo_plane; + DRWShadingGroup *camera_stereo_plane_wires; + DRWShadingGroup *camera_stereo_volume; + DRWShadingGroup *camera_stereo_volume_wires; + ListBase camera_path; + + /* Wire */ + DRWShadingGroup *wire; + DRWShadingGroup *wire_active; + DRWShadingGroup *wire_select; + DRWShadingGroup *wire_transform; + /* Wire (duplicator) */ + DRWShadingGroup *wire_dupli; + DRWShadingGroup *wire_dupli_select; + + /* Points */ + DRWShadingGroup *points; + DRWShadingGroup *points_active; + DRWShadingGroup *points_select; + DRWShadingGroup *points_transform; + /* Points (duplicator) */ + DRWShadingGroup *points_dupli; + DRWShadingGroup *points_dupli_select; + + /* Texture Space */ + DRWShadingGroup *texspace; } OBJECT_ShadingGroupList; typedef struct OBJECT_PrivateData { - OBJECT_ShadingGroupList sgl; - OBJECT_ShadingGroupList sgl_ghost; - - /* Outlines */ - DRWShadingGroup *outlines_active; - DRWShadingGroup *outlines_select; - DRWShadingGroup *outlines_select_dupli; - DRWShadingGroup *outlines_transform; - - /* Lightprobes */ - DRWShadingGroup *lightprobes_cube_select; - DRWShadingGroup *lightprobes_cube_select_dupli; - DRWShadingGroup *lightprobes_cube_active; - DRWShadingGroup *lightprobes_cube_transform; - - DRWShadingGroup *lightprobes_planar_select; - DRWShadingGroup *lightprobes_planar_select_dupli; - DRWShadingGroup *lightprobes_planar_active; - DRWShadingGroup *lightprobes_planar_transform; - - /* Objects Centers */ - DRWShadingGroup *center_active; - DRWShadingGroup *center_selected; - DRWShadingGroup *center_deselected; - DRWShadingGroup *center_selected_lib; - DRWShadingGroup *center_deselected_lib; - - /* Outlines id offset (accessed as an array) */ - int id_ofs_active; - int id_ofs_select; - int id_ofs_select_dupli; - int id_ofs_transform; - - int id_ofs_prb_active; - int id_ofs_prb_select; - int id_ofs_prb_select_dupli; - int id_ofs_prb_transform; - - bool xray_enabled; - bool xray_enabled_and_not_wire; + OBJECT_ShadingGroupList sgl; + OBJECT_ShadingGroupList sgl_ghost; + + /* Outlines */ + DRWShadingGroup *outlines_active; + DRWShadingGroup *outlines_select; + DRWShadingGroup *outlines_select_dupli; + DRWShadingGroup *outlines_transform; + + /* Lightprobes */ + DRWShadingGroup *lightprobes_cube_select; + DRWShadingGroup *lightprobes_cube_select_dupli; + DRWShadingGroup *lightprobes_cube_active; + DRWShadingGroup *lightprobes_cube_transform; + + DRWShadingGroup *lightprobes_planar_select; + DRWShadingGroup *lightprobes_planar_select_dupli; + DRWShadingGroup *lightprobes_planar_active; + DRWShadingGroup *lightprobes_planar_transform; + + /* Objects Centers */ + DRWShadingGroup *center_active; + DRWShadingGroup *center_selected; + DRWShadingGroup *center_deselected; + DRWShadingGroup *center_selected_lib; + DRWShadingGroup *center_deselected_lib; + + /* Outlines id offset (accessed as an array) */ + int id_ofs_active; + int id_ofs_select; + int id_ofs_select_dupli; + int id_ofs_transform; + + int id_ofs_prb_active; + int id_ofs_prb_select; + int id_ofs_prb_select_dupli; + int id_ofs_prb_transform; + + bool xray_enabled; + bool xray_enabled_and_not_wire; } OBJECT_PrivateData; /* Transient data */ static struct { - /* Instance Data format */ - struct GPUVertFormat *particle_format; - struct GPUVertFormat *empty_image_format; - struct GPUVertFormat *empty_image_wire_format; - - OBJECT_Shaders sh_data[GPU_SHADER_CFG_LEN]; - - float camera_pos[3]; - float grid_settings[5]; - float grid_mesh_size; - int grid_flag; - float grid_axes[3]; - int zpos_flag; - int zneg_flag; - float zplane_axes[3]; - float inv_viewport_size[2]; - bool draw_grid; - /* Temp buffer textures */ - struct GPUTexture *outlines_depth_tx; - struct GPUTexture *outlines_id_tx; - struct GPUTexture *outlines_color_tx; - struct GPUTexture *outlines_blur_tx; - - ListBase smoke_domains; + /* Instance Data format */ + struct GPUVertFormat *particle_format; + struct GPUVertFormat *empty_image_format; + struct GPUVertFormat *empty_image_wire_format; + + OBJECT_Shaders sh_data[GPU_SHADER_CFG_LEN]; + + float camera_pos[3]; + float grid_settings[5]; + float grid_mesh_size; + int grid_flag; + float grid_axes[3]; + int zpos_flag; + int zneg_flag; + float zplane_axes[3]; + float inv_viewport_size[2]; + bool draw_grid; + /* Temp buffer textures */ + struct GPUTexture *outlines_depth_tx; + struct GPUTexture *outlines_id_tx; + struct GPUTexture *outlines_color_tx; + struct GPUTexture *outlines_blur_tx; + + ListBase smoke_domains; } e_data = {NULL}; /* Engine data */ - enum { - SHOW_AXIS_X = (1 << 0), - SHOW_AXIS_Y = (1 << 1), - SHOW_AXIS_Z = (1 << 2), - SHOW_GRID = (1 << 3), - PLANE_XY = (1 << 4), - PLANE_XZ = (1 << 5), - PLANE_YZ = (1 << 6), - CLIP_ZPOS = (1 << 7), - CLIP_ZNEG = (1 << 8), - GRID_BACK = (1 << 9), + SHOW_AXIS_X = (1 << 0), + SHOW_AXIS_Y = (1 << 1), + SHOW_AXIS_Z = (1 << 2), + SHOW_GRID = (1 << 3), + PLANE_XY = (1 << 4), + PLANE_XZ = (1 << 5), + PLANE_YZ = (1 << 6), + CLIP_ZPOS = (1 << 7), + CLIP_ZNEG = (1 << 8), + GRID_BACK = (1 << 9), }; /* Prototypes. */ -static void DRW_shgroup_empty_ex( - OBJECT_ShadingGroupList *sgl, const float mat[4][4], const float *draw_size, char draw_type, const float color[4]); +static void DRW_shgroup_empty_ex(OBJECT_ShadingGroupList *sgl, + const float mat[4][4], + const float *draw_size, + char draw_type, + const float color[4]); /* *********** FUNCTIONS *********** */ static void OBJECT_engine_init(void *vedata) { - OBJECT_FramebufferList *fbl = ((OBJECT_Data *)vedata)->fbl; - - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - if (DRW_state_is_fbo()) { - e_data.outlines_depth_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_DEPTH_COMPONENT24, - &draw_engine_object_type); - /* XXX TODO GPU_R16UI can overflow, it would cause no harm - * (only bad colored or missing outlines) but we should - * use 32bits only if the scene have that many objects */ - e_data.outlines_id_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_R16UI, - &draw_engine_object_type); - - GPU_framebuffer_ensure_config(&fbl->outlines_fb, { - GPU_ATTACHMENT_TEXTURE(e_data.outlines_depth_tx), - GPU_ATTACHMENT_TEXTURE(e_data.outlines_id_tx) - }); - - e_data.outlines_color_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_RGBA8, - &draw_engine_object_type); - - GPU_framebuffer_ensure_config(&fbl->expand_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.outlines_color_tx) - }); - - e_data.outlines_blur_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_RGBA8, - &draw_engine_object_type); - - GPU_framebuffer_ensure_config(&fbl->blur_fb, { - GPU_ATTACHMENT_NONE, - GPU_ATTACHMENT_TEXTURE(e_data.outlines_blur_tx) - }); - } - - /* Shaders */ - const DRWContextState *draw_ctx = DRW_context_state_get(); - OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->outline_resolve) { - /* Outline */ - sh_data->outline_prepass = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_gpu_shader_3D_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_object_outline_prepass_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - sh_data->outline_prepass_wire = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_outline_prepass_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_object_outline_prepass_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_object_outline_prepass_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - sh_data->outline_resolve = DRW_shader_create_fullscreen(datatoc_object_outline_resolve_frag_glsl, NULL); - - sh_data->outline_resolve_aa = DRW_shader_create_with_lib( - datatoc_common_fullscreen_vert_glsl, NULL, - datatoc_object_outline_resolve_frag_glsl, - datatoc_common_fxaa_lib_glsl, - "#define FXAA_ALPHA\n" - "#define USE_FXAA\n"); - - sh_data->outline_detect = DRW_shader_create_with_lib( - datatoc_common_fullscreen_vert_glsl, NULL, - datatoc_object_outline_detect_frag_glsl, - datatoc_common_globals_lib_glsl, - NULL); - - sh_data->outline_detect_wire = DRW_shader_create_with_lib( - datatoc_common_fullscreen_vert_glsl, NULL, - datatoc_object_outline_detect_frag_glsl, - datatoc_common_globals_lib_glsl, - "#define WIRE\n"); - - - sh_data->outline_fade = DRW_shader_create_fullscreen(datatoc_object_outline_expand_frag_glsl, NULL); - sh_data->outline_fade_large = DRW_shader_create_fullscreen(datatoc_object_outline_expand_frag_glsl, "#define LARGE_OUTLINE\n"); - - /* Empty images */ - { - const char *empty_image_defs = ( - "#define DEPTH_UNCHANGED " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_DEFAULT) "\n" - "#define DEPTH_FRONT " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_FRONT) "\n" - "#define DEPTH_BACK " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_BACK) "\n"); - - sh_data->object_empty_image = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_image_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_object_empty_image_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, empty_image_defs, NULL}, - }); - sh_data->object_empty_image_wire = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_image_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_object_empty_image_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define USE_WIRE\n", empty_image_defs, NULL}, - }); - } - - /* Grid */ - sh_data->grid = DRW_shader_create_with_lib( - datatoc_object_grid_vert_glsl, NULL, - datatoc_object_grid_frag_glsl, - datatoc_common_globals_lib_glsl, NULL); - - /* Particles */ - sh_data->part_prim = DRW_shader_create( - datatoc_object_particle_prim_vert_glsl, NULL, datatoc_gpu_shader_flat_color_frag_glsl, NULL); - - sh_data->part_axis = DRW_shader_create( - datatoc_object_particle_prim_vert_glsl, NULL, datatoc_gpu_shader_flat_color_frag_glsl, - "#define USE_AXIS\n"); - - sh_data->part_dot = DRW_shader_create( - datatoc_object_particle_dot_vert_glsl, NULL, datatoc_object_particle_dot_frag_glsl, NULL); - - /* Lightprobes */ - sh_data->lightprobe_grid = DRW_shader_create( - datatoc_object_lightprobe_grid_vert_glsl, NULL, datatoc_gpu_shader_flat_id_frag_glsl, NULL); - - /* Loose Points */ - sh_data->loose_points = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_gpu_shader_3D_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_object_loose_points_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - { - /* Grid precompute */ - float invviewmat[4][4], invwinmat[4][4]; - float viewmat[4][4], winmat[4][4]; - View3D *v3d = draw_ctx->v3d; - Scene *scene = draw_ctx->scene; - RegionView3D *rv3d = draw_ctx->rv3d; - float grid_scale = ED_view3d_grid_scale(scene, v3d, NULL); - float grid_res; - - const bool show_axis_x = (v3d->gridflag & V3D_SHOW_X) != 0; - const bool show_axis_y = (v3d->gridflag & V3D_SHOW_Y) != 0; - const bool show_axis_z = (v3d->gridflag & V3D_SHOW_Z) != 0; - const bool show_floor = (v3d->gridflag & V3D_SHOW_FLOOR) != 0; - e_data.draw_grid = show_axis_x || show_axis_y || show_axis_z || show_floor; - - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); - DRW_viewport_matrix_get(invwinmat, DRW_MAT_WININV); - DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); - - /* Setup camera pos */ - copy_v3_v3(e_data.camera_pos, invviewmat[3]); - - /* if perps */ - if (winmat[3][3] == 0.0f) { - float fov; - float viewvecs[2][4] = { - {1.0f, -1.0f, -1.0f, 1.0f}, - {-1.0f, 1.0f, -1.0f, 1.0f}, - }; - - /* convert the view vectors to view space */ - for (int i = 0; i < 2; i++) { - mul_m4_v4(invwinmat, viewvecs[i]); - mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][2]); /* perspective divide */ - } - - fov = angle_v3v3(viewvecs[0], viewvecs[1]) / 2.0f; - grid_res = fabsf(tanf(fov)) / grid_scale; - - e_data.grid_flag = (1 << 4); /* XY plane */ - if (show_axis_x) { - e_data.grid_flag |= SHOW_AXIS_X; - } - if (show_axis_y) { - e_data.grid_flag |= SHOW_AXIS_Y; - } - if (show_floor) { - e_data.grid_flag |= SHOW_GRID; - } - - } - else { - if (rv3d->view != RV3D_VIEW_USER) { - /* Allow 3 more subdivisions. */ - grid_scale /= powf(v3d->gridsubdiv, 3); - } - - float viewdist = 1.0f / max_ff(fabsf(winmat[0][0]), fabsf(winmat[1][1])); - grid_res = viewdist / grid_scale; - - if (ELEM(rv3d->view, RV3D_VIEW_RIGHT, RV3D_VIEW_LEFT)) { - e_data.draw_grid = true; - e_data.grid_flag = PLANE_YZ | SHOW_AXIS_Y | SHOW_AXIS_Z | SHOW_GRID | GRID_BACK; - } - else if (ELEM(rv3d->view, RV3D_VIEW_TOP, RV3D_VIEW_BOTTOM)) { - e_data.draw_grid = true; - e_data.grid_flag = PLANE_XY | SHOW_AXIS_X | SHOW_AXIS_Y | SHOW_GRID | GRID_BACK; - } - else if (ELEM(rv3d->view, RV3D_VIEW_FRONT, RV3D_VIEW_BACK)) { - e_data.draw_grid = true; - e_data.grid_flag = PLANE_XZ | SHOW_AXIS_X | SHOW_AXIS_Z | SHOW_GRID | GRID_BACK; - } - else { /* RV3D_VIEW_USER */ - e_data.grid_flag = PLANE_XY; - if (show_axis_x) { - e_data.grid_flag |= SHOW_AXIS_X; - } - if (show_axis_y) { - e_data.grid_flag |= SHOW_AXIS_Y; - } - if (show_floor) { - e_data.grid_flag |= SHOW_GRID; - } - } - } - - e_data.grid_axes[0] = (float)((e_data.grid_flag & (PLANE_XZ | PLANE_XY)) != 0); - e_data.grid_axes[1] = (float)((e_data.grid_flag & (PLANE_YZ | PLANE_XY)) != 0); - e_data.grid_axes[2] = (float)((e_data.grid_flag & (PLANE_YZ | PLANE_XZ)) != 0); - - /* Z axis if needed */ - if (((rv3d->view == RV3D_VIEW_USER) || (rv3d->persp != RV3D_ORTHO)) && show_axis_z) { - e_data.zpos_flag = SHOW_AXIS_Z; - - float zvec[4] = {0.0f, 0.0f, -1.0f, 0.0f}; - mul_m4_v4(invviewmat, zvec); - - /* z axis : chose the most facing plane */ - if (fabsf(zvec[0]) < fabsf(zvec[1])) { - e_data.zpos_flag |= PLANE_XZ; - } - else { - e_data.zpos_flag |= PLANE_YZ; - } - - e_data.zneg_flag = e_data.zpos_flag; - - /* Persp : If camera is below floor plane, we switch clipping - * Ortho : If eye vector is looking up, we switch clipping */ - if (((winmat[3][3] == 0.0f) && (e_data.camera_pos[2] > 0.0f)) || - ((winmat[3][3] != 0.0f) && (zvec[2] < 0.0f))) - { - e_data.zpos_flag |= CLIP_ZPOS; - e_data.zneg_flag |= CLIP_ZNEG; - } - else { - e_data.zpos_flag |= CLIP_ZNEG; - e_data.zneg_flag |= CLIP_ZPOS; - } - - e_data.zplane_axes[0] = (float)((e_data.zpos_flag & (PLANE_XZ | PLANE_XY)) != 0); - e_data.zplane_axes[1] = (float)((e_data.zpos_flag & (PLANE_YZ | PLANE_XY)) != 0); - e_data.zplane_axes[2] = (float)((e_data.zpos_flag & (PLANE_YZ | PLANE_XZ)) != 0); - - } - else { - e_data.zneg_flag = e_data.zpos_flag = CLIP_ZNEG | CLIP_ZPOS; - } - - float dist; - if (rv3d->persp == RV3D_CAMOB && v3d->camera && v3d->camera->type == OB_CAMERA) { - Object *camera_object = DEG_get_evaluated_object(draw_ctx->depsgraph, v3d->camera); - dist = ((Camera *)(camera_object->data))->clip_end; - } - else { - dist = v3d->clip_end; - } - - e_data.grid_settings[0] = dist / 2.0f; /* gridDistance */ - e_data.grid_settings[1] = grid_res; /* gridResolution */ - e_data.grid_settings[2] = grid_scale; /* gridScale */ - e_data.grid_settings[3] = v3d->gridsubdiv; /* gridSubdiv */ - e_data.grid_settings[4] = (v3d->gridsubdiv > 1) ? 1.0f / logf(v3d->gridsubdiv) : 0.0f; /* 1/log(gridSubdiv) */ - - if (winmat[3][3] == 0.0f) { - e_data.grid_mesh_size = dist; - } - else { - float viewdist = 1.0f / min_ff(fabsf(winmat[0][0]), fabsf(winmat[1][1])); - e_data.grid_mesh_size = viewdist * dist; - } - } - - copy_v2_v2(e_data.inv_viewport_size, DRW_viewport_size_get()); - invert_v2(e_data.inv_viewport_size); + OBJECT_FramebufferList *fbl = ((OBJECT_Data *)vedata)->fbl; + + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + if (DRW_state_is_fbo()) { + e_data.outlines_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_object_type); + /* XXX TODO GPU_R16UI can overflow, it would cause no harm + * (only bad colored or missing outlines) but we should + * use 32bits only if the scene have that many objects */ + e_data.outlines_id_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_R16UI, &draw_engine_object_type); + + GPU_framebuffer_ensure_config(&fbl->outlines_fb, + {GPU_ATTACHMENT_TEXTURE(e_data.outlines_depth_tx), + GPU_ATTACHMENT_TEXTURE(e_data.outlines_id_tx)}); + + e_data.outlines_color_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA8, &draw_engine_object_type); + + GPU_framebuffer_ensure_config( + &fbl->expand_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(e_data.outlines_color_tx)}); + + e_data.outlines_blur_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_RGBA8, &draw_engine_object_type); + + GPU_framebuffer_ensure_config( + &fbl->blur_fb, {GPU_ATTACHMENT_NONE, GPU_ATTACHMENT_TEXTURE(e_data.outlines_blur_tx)}); + } + + /* Shaders */ + const DRWContextState *draw_ctx = DRW_context_state_get(); + OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->outline_resolve) { + /* Outline */ + sh_data->outline_prepass = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_gpu_shader_3D_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_object_outline_prepass_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + sh_data->outline_prepass_wire = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_outline_prepass_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_object_outline_prepass_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_object_outline_prepass_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + + sh_data->outline_resolve = DRW_shader_create_fullscreen( + datatoc_object_outline_resolve_frag_glsl, NULL); + + sh_data->outline_resolve_aa = DRW_shader_create_with_lib( + datatoc_common_fullscreen_vert_glsl, + NULL, + datatoc_object_outline_resolve_frag_glsl, + datatoc_common_fxaa_lib_glsl, + "#define FXAA_ALPHA\n" + "#define USE_FXAA\n"); + + sh_data->outline_detect = DRW_shader_create_with_lib(datatoc_common_fullscreen_vert_glsl, + NULL, + datatoc_object_outline_detect_frag_glsl, + datatoc_common_globals_lib_glsl, + NULL); + + sh_data->outline_detect_wire = DRW_shader_create_with_lib( + datatoc_common_fullscreen_vert_glsl, + NULL, + datatoc_object_outline_detect_frag_glsl, + datatoc_common_globals_lib_glsl, + "#define WIRE\n"); + + sh_data->outline_fade = DRW_shader_create_fullscreen(datatoc_object_outline_expand_frag_glsl, + NULL); + sh_data->outline_fade_large = DRW_shader_create_fullscreen( + datatoc_object_outline_expand_frag_glsl, "#define LARGE_OUTLINE\n"); + + /* Empty images */ + { + const char *empty_image_defs = ( + "#define DEPTH_UNCHANGED " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_DEFAULT) "\n" + "#define DEPTH_FRONT " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_FRONT) "\n" + "#define DEPTH_BACK " STRINGIFY(OB_EMPTY_IMAGE_DEPTH_BACK) "\n"); + + sh_data->object_empty_image = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_image_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_object_empty_image_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, empty_image_defs, NULL}, + }); + sh_data->object_empty_image_wire = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_object_empty_image_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_object_empty_image_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define USE_WIRE\n", empty_image_defs, NULL}, + }); + } + + /* Grid */ + sh_data->grid = DRW_shader_create_with_lib(datatoc_object_grid_vert_glsl, + NULL, + datatoc_object_grid_frag_glsl, + datatoc_common_globals_lib_glsl, + NULL); + + /* Particles */ + sh_data->part_prim = DRW_shader_create(datatoc_object_particle_prim_vert_glsl, + NULL, + datatoc_gpu_shader_flat_color_frag_glsl, + NULL); + + sh_data->part_axis = DRW_shader_create(datatoc_object_particle_prim_vert_glsl, + NULL, + datatoc_gpu_shader_flat_color_frag_glsl, + "#define USE_AXIS\n"); + + sh_data->part_dot = DRW_shader_create( + datatoc_object_particle_dot_vert_glsl, NULL, datatoc_object_particle_dot_frag_glsl, NULL); + + /* Lightprobes */ + sh_data->lightprobe_grid = DRW_shader_create(datatoc_object_lightprobe_grid_vert_glsl, + NULL, + datatoc_gpu_shader_flat_id_frag_glsl, + NULL); + + /* Loose Points */ + sh_data->loose_points = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_gpu_shader_3D_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_object_loose_points_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + { + /* Grid precompute */ + float invviewmat[4][4], invwinmat[4][4]; + float viewmat[4][4], winmat[4][4]; + View3D *v3d = draw_ctx->v3d; + Scene *scene = draw_ctx->scene; + RegionView3D *rv3d = draw_ctx->rv3d; + float grid_scale = ED_view3d_grid_scale(scene, v3d, NULL); + float grid_res; + + const bool show_axis_x = (v3d->gridflag & V3D_SHOW_X) != 0; + const bool show_axis_y = (v3d->gridflag & V3D_SHOW_Y) != 0; + const bool show_axis_z = (v3d->gridflag & V3D_SHOW_Z) != 0; + const bool show_floor = (v3d->gridflag & V3D_SHOW_FLOOR) != 0; + e_data.draw_grid = show_axis_x || show_axis_y || show_axis_z || show_floor; + + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + DRW_viewport_matrix_get(viewmat, DRW_MAT_VIEW); + DRW_viewport_matrix_get(invwinmat, DRW_MAT_WININV); + DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); + + /* Setup camera pos */ + copy_v3_v3(e_data.camera_pos, invviewmat[3]); + + /* if perps */ + if (winmat[3][3] == 0.0f) { + float fov; + float viewvecs[2][4] = { + {1.0f, -1.0f, -1.0f, 1.0f}, + {-1.0f, 1.0f, -1.0f, 1.0f}, + }; + + /* convert the view vectors to view space */ + for (int i = 0; i < 2; i++) { + mul_m4_v4(invwinmat, viewvecs[i]); + mul_v3_fl(viewvecs[i], 1.0f / viewvecs[i][2]); /* perspective divide */ + } + + fov = angle_v3v3(viewvecs[0], viewvecs[1]) / 2.0f; + grid_res = fabsf(tanf(fov)) / grid_scale; + + e_data.grid_flag = (1 << 4); /* XY plane */ + if (show_axis_x) { + e_data.grid_flag |= SHOW_AXIS_X; + } + if (show_axis_y) { + e_data.grid_flag |= SHOW_AXIS_Y; + } + if (show_floor) { + e_data.grid_flag |= SHOW_GRID; + } + } + else { + if (rv3d->view != RV3D_VIEW_USER) { + /* Allow 3 more subdivisions. */ + grid_scale /= powf(v3d->gridsubdiv, 3); + } + + float viewdist = 1.0f / max_ff(fabsf(winmat[0][0]), fabsf(winmat[1][1])); + grid_res = viewdist / grid_scale; + + if (ELEM(rv3d->view, RV3D_VIEW_RIGHT, RV3D_VIEW_LEFT)) { + e_data.draw_grid = true; + e_data.grid_flag = PLANE_YZ | SHOW_AXIS_Y | SHOW_AXIS_Z | SHOW_GRID | GRID_BACK; + } + else if (ELEM(rv3d->view, RV3D_VIEW_TOP, RV3D_VIEW_BOTTOM)) { + e_data.draw_grid = true; + e_data.grid_flag = PLANE_XY | SHOW_AXIS_X | SHOW_AXIS_Y | SHOW_GRID | GRID_BACK; + } + else if (ELEM(rv3d->view, RV3D_VIEW_FRONT, RV3D_VIEW_BACK)) { + e_data.draw_grid = true; + e_data.grid_flag = PLANE_XZ | SHOW_AXIS_X | SHOW_AXIS_Z | SHOW_GRID | GRID_BACK; + } + else { /* RV3D_VIEW_USER */ + e_data.grid_flag = PLANE_XY; + if (show_axis_x) { + e_data.grid_flag |= SHOW_AXIS_X; + } + if (show_axis_y) { + e_data.grid_flag |= SHOW_AXIS_Y; + } + if (show_floor) { + e_data.grid_flag |= SHOW_GRID; + } + } + } + + e_data.grid_axes[0] = (float)((e_data.grid_flag & (PLANE_XZ | PLANE_XY)) != 0); + e_data.grid_axes[1] = (float)((e_data.grid_flag & (PLANE_YZ | PLANE_XY)) != 0); + e_data.grid_axes[2] = (float)((e_data.grid_flag & (PLANE_YZ | PLANE_XZ)) != 0); + + /* Z axis if needed */ + if (((rv3d->view == RV3D_VIEW_USER) || (rv3d->persp != RV3D_ORTHO)) && show_axis_z) { + e_data.zpos_flag = SHOW_AXIS_Z; + + float zvec[4] = {0.0f, 0.0f, -1.0f, 0.0f}; + mul_m4_v4(invviewmat, zvec); + + /* z axis : chose the most facing plane */ + if (fabsf(zvec[0]) < fabsf(zvec[1])) { + e_data.zpos_flag |= PLANE_XZ; + } + else { + e_data.zpos_flag |= PLANE_YZ; + } + + e_data.zneg_flag = e_data.zpos_flag; + + /* Persp : If camera is below floor plane, we switch clipping + * Ortho : If eye vector is looking up, we switch clipping */ + if (((winmat[3][3] == 0.0f) && (e_data.camera_pos[2] > 0.0f)) || + ((winmat[3][3] != 0.0f) && (zvec[2] < 0.0f))) { + e_data.zpos_flag |= CLIP_ZPOS; + e_data.zneg_flag |= CLIP_ZNEG; + } + else { + e_data.zpos_flag |= CLIP_ZNEG; + e_data.zneg_flag |= CLIP_ZPOS; + } + + e_data.zplane_axes[0] = (float)((e_data.zpos_flag & (PLANE_XZ | PLANE_XY)) != 0); + e_data.zplane_axes[1] = (float)((e_data.zpos_flag & (PLANE_YZ | PLANE_XY)) != 0); + e_data.zplane_axes[2] = (float)((e_data.zpos_flag & (PLANE_YZ | PLANE_XZ)) != 0); + } + else { + e_data.zneg_flag = e_data.zpos_flag = CLIP_ZNEG | CLIP_ZPOS; + } + + float dist; + if (rv3d->persp == RV3D_CAMOB && v3d->camera && v3d->camera->type == OB_CAMERA) { + Object *camera_object = DEG_get_evaluated_object(draw_ctx->depsgraph, v3d->camera); + dist = ((Camera *)(camera_object->data))->clip_end; + } + else { + dist = v3d->clip_end; + } + + e_data.grid_settings[0] = dist / 2.0f; /* gridDistance */ + e_data.grid_settings[1] = grid_res; /* gridResolution */ + e_data.grid_settings[2] = grid_scale; /* gridScale */ + e_data.grid_settings[3] = v3d->gridsubdiv; /* gridSubdiv */ + e_data.grid_settings[4] = (v3d->gridsubdiv > 1) ? 1.0f / logf(v3d->gridsubdiv) : + 0.0f; /* 1/log(gridSubdiv) */ + + if (winmat[3][3] == 0.0f) { + e_data.grid_mesh_size = dist; + } + else { + float viewdist = 1.0f / min_ff(fabsf(winmat[0][0]), fabsf(winmat[1][1])); + e_data.grid_mesh_size = viewdist * dist; + } + } + + copy_v2_v2(e_data.inv_viewport_size, DRW_viewport_size_get()); + invert_v2(e_data.inv_viewport_size); } static void OBJECT_engine_free(void) { - MEM_SAFE_FREE(e_data.particle_format); - MEM_SAFE_FREE(e_data.empty_image_format); - MEM_SAFE_FREE(e_data.empty_image_wire_format); - - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - OBJECT_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(OBJECT_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } + MEM_SAFE_FREE(e_data.particle_format); + MEM_SAFE_FREE(e_data.empty_image_format); + MEM_SAFE_FREE(e_data.empty_image_wire_format); + + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + OBJECT_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(OBJECT_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } -static DRWShadingGroup *shgroup_outline(DRWPass *pass, const int *ofs, GPUShader *sh, eGPUShaderConfig sh_cfg) +static DRWShadingGroup *shgroup_outline(DRWPass *pass, + const int *ofs, + GPUShader *sh, + eGPUShaderConfig sh_cfg) { - DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); - DRW_shgroup_uniform_int(grp, "baseId", ofs, 1); + DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); + DRW_shgroup_uniform_int(grp, "baseId", ofs, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } /* currently same as 'shgroup_outline', new function to avoid confustion */ -static DRWShadingGroup *shgroup_wire(DRWPass *pass, const float col[4], GPUShader *sh, eGPUShaderConfig sh_cfg) +static DRWShadingGroup *shgroup_wire(DRWPass *pass, + const float col[4], + GPUShader *sh, + eGPUShaderConfig sh_cfg) { - DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", col, 1); + DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", col, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } /* currently same as 'shgroup_outline', new function to avoid confustion */ -static DRWShadingGroup *shgroup_points(DRWPass *pass, const float col[4], GPUShader *sh, eGPUShaderConfig sh_cfg) +static DRWShadingGroup *shgroup_points(DRWPass *pass, + const float col[4], + GPUShader *sh, + eGPUShaderConfig sh_cfg) { - DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); - DRW_shgroup_uniform_vec4(grp, "color", col, 1); - DRW_shgroup_uniform_vec4(grp, "innerColor", G_draw.block.colorEditMeshMiddle, 1); - - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - return grp; + DRWShadingGroup *grp = DRW_shgroup_create(sh, pass); + DRW_shgroup_uniform_vec4(grp, "color", col, 1); + DRW_shgroup_uniform_vec4(grp, "innerColor", G_draw.block.colorEditMeshMiddle, 1); + + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + return grp; } -static int *shgroup_theme_id_to_probe_outline_counter( - OBJECT_StorageList *stl, int theme_id, const int base_flag) +static int *shgroup_theme_id_to_probe_outline_counter(OBJECT_StorageList *stl, + int theme_id, + const int base_flag) { - if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return &stl->g_data->id_ofs_prb_select_dupli; - case TH_TRANSFORM: - default: - return &stl->g_data->id_ofs_prb_transform; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return &stl->g_data->id_ofs_prb_active; - case TH_SELECT: - return &stl->g_data->id_ofs_prb_select; - case TH_TRANSFORM: - default: - return &stl->g_data->id_ofs_prb_transform; - } + if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return &stl->g_data->id_ofs_prb_select_dupli; + case TH_TRANSFORM: + default: + return &stl->g_data->id_ofs_prb_transform; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return &stl->g_data->id_ofs_prb_active; + case TH_SELECT: + return &stl->g_data->id_ofs_prb_select; + case TH_TRANSFORM: + default: + return &stl->g_data->id_ofs_prb_transform; + } } -static int *shgroup_theme_id_to_outline_counter( - OBJECT_StorageList *stl, int theme_id, const int base_flag) +static int *shgroup_theme_id_to_outline_counter(OBJECT_StorageList *stl, + int theme_id, + const int base_flag) { - if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return &stl->g_data->id_ofs_select_dupli; - case TH_TRANSFORM: - default: - return &stl->g_data->id_ofs_transform; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return &stl->g_data->id_ofs_active; - case TH_SELECT: - return &stl->g_data->id_ofs_select; - case TH_TRANSFORM: - default: - return &stl->g_data->id_ofs_transform; - } + if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return &stl->g_data->id_ofs_select_dupli; + case TH_TRANSFORM: + default: + return &stl->g_data->id_ofs_transform; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return &stl->g_data->id_ofs_active; + case TH_SELECT: + return &stl->g_data->id_ofs_select; + case TH_TRANSFORM: + default: + return &stl->g_data->id_ofs_transform; + } } -static DRWShadingGroup *shgroup_theme_id_to_probe_planar_outline_shgrp( - OBJECT_StorageList *stl, int theme_id) +static DRWShadingGroup *shgroup_theme_id_to_probe_planar_outline_shgrp(OBJECT_StorageList *stl, + int theme_id) { - /* does not increment counter */ - switch (theme_id) { - case TH_ACTIVE: - return stl->g_data->lightprobes_planar_active; - case TH_SELECT: - return stl->g_data->lightprobes_planar_select; - case TH_TRANSFORM: - default: - return stl->g_data->lightprobes_planar_transform; - } + /* does not increment counter */ + switch (theme_id) { + case TH_ACTIVE: + return stl->g_data->lightprobes_planar_active; + case TH_SELECT: + return stl->g_data->lightprobes_planar_select; + case TH_TRANSFORM: + default: + return stl->g_data->lightprobes_planar_transform; + } } -static DRWShadingGroup *shgroup_theme_id_to_probe_cube_outline_shgrp( - OBJECT_StorageList *stl, int theme_id, const int base_flag) +static DRWShadingGroup *shgroup_theme_id_to_probe_cube_outline_shgrp(OBJECT_StorageList *stl, + int theme_id, + const int base_flag) { - /* does not increment counter */ - if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return stl->g_data->lightprobes_cube_select_dupli; - case TH_TRANSFORM: - default: - return stl->g_data->lightprobes_cube_transform; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return stl->g_data->lightprobes_cube_active; - case TH_SELECT: - return stl->g_data->lightprobes_cube_select; - case TH_TRANSFORM: - default: - return stl->g_data->lightprobes_cube_transform; - } + /* does not increment counter */ + if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return stl->g_data->lightprobes_cube_select_dupli; + case TH_TRANSFORM: + default: + return stl->g_data->lightprobes_cube_transform; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return stl->g_data->lightprobes_cube_active; + case TH_SELECT: + return stl->g_data->lightprobes_cube_select; + case TH_TRANSFORM: + default: + return stl->g_data->lightprobes_cube_transform; + } } -static DRWShadingGroup *shgroup_theme_id_to_outline_or_null( - OBJECT_StorageList *stl, int theme_id, const int base_flag) +static DRWShadingGroup *shgroup_theme_id_to_outline_or_null(OBJECT_StorageList *stl, + int theme_id, + const int base_flag) { - int *counter = shgroup_theme_id_to_outline_counter(stl, theme_id, base_flag); - *counter += 1; - - if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return stl->g_data->outlines_select_dupli; - case TH_TRANSFORM: - return stl->g_data->outlines_transform; - default: - return NULL; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return stl->g_data->outlines_active; - case TH_SELECT: - return stl->g_data->outlines_select; - case TH_TRANSFORM: - return stl->g_data->outlines_transform; - default: - return NULL; - } + int *counter = shgroup_theme_id_to_outline_counter(stl, theme_id, base_flag); + *counter += 1; + + if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return stl->g_data->outlines_select_dupli; + case TH_TRANSFORM: + return stl->g_data->outlines_transform; + default: + return NULL; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return stl->g_data->outlines_active; + case TH_SELECT: + return stl->g_data->outlines_select; + case TH_TRANSFORM: + return stl->g_data->outlines_transform; + default: + return NULL; + } } -static DRWShadingGroup *shgroup_theme_id_to_wire( - OBJECT_ShadingGroupList *sgl, int theme_id, const short base_flag) +static DRWShadingGroup *shgroup_theme_id_to_wire(OBJECT_ShadingGroupList *sgl, + int theme_id, + const short base_flag) { - if (UNLIKELY(base_flag & BASE_FROM_SET)) { - return sgl->wire_dupli; - } - else if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return sgl->wire_dupli_select; - case TH_TRANSFORM: - return sgl->wire_transform; - default: - return sgl->wire_dupli; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return sgl->wire_active; - case TH_SELECT: - return sgl->wire_select; - case TH_TRANSFORM: - return sgl->wire_transform; - default: - return sgl->wire; - } + if (UNLIKELY(base_flag & BASE_FROM_SET)) { + return sgl->wire_dupli; + } + else if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return sgl->wire_dupli_select; + case TH_TRANSFORM: + return sgl->wire_transform; + default: + return sgl->wire_dupli; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return sgl->wire_active; + case TH_SELECT: + return sgl->wire_select; + case TH_TRANSFORM: + return sgl->wire_transform; + default: + return sgl->wire; + } } -static DRWShadingGroup *shgroup_theme_id_to_point( - OBJECT_ShadingGroupList *sgl, int theme_id, const short base_flag) +static DRWShadingGroup *shgroup_theme_id_to_point(OBJECT_ShadingGroupList *sgl, + int theme_id, + const short base_flag) { - if (UNLIKELY(base_flag & BASE_FROM_SET)) { - return sgl->points_dupli; - } - else if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { - switch (theme_id) { - case TH_ACTIVE: - case TH_SELECT: - return sgl->points_dupli_select; - case TH_TRANSFORM: - return sgl->points_transform; - default: - return sgl->points_dupli; - } - } - - switch (theme_id) { - case TH_ACTIVE: - return sgl->points_active; - case TH_SELECT: - return sgl->points_select; - case TH_TRANSFORM: - return sgl->points_transform; - default: - return sgl->points; - } + if (UNLIKELY(base_flag & BASE_FROM_SET)) { + return sgl->points_dupli; + } + else if (UNLIKELY(base_flag & BASE_FROM_DUPLI)) { + switch (theme_id) { + case TH_ACTIVE: + case TH_SELECT: + return sgl->points_dupli_select; + case TH_TRANSFORM: + return sgl->points_transform; + default: + return sgl->points_dupli; + } + } + + switch (theme_id) { + case TH_ACTIVE: + return sgl->points_active; + case TH_SELECT: + return sgl->points_select; + case TH_TRANSFORM: + return sgl->points_transform; + default: + return sgl->points; + } } static void image_calc_aspect(Image *ima, const int size[2], float r_image_aspect[2]) { - float ima_x, ima_y; - if (ima) { - ima_x = size[0]; - ima_y = size[1]; - } - else { - /* if no image, make it a 1x1 empty square, honor scale & offset */ - ima_x = ima_y = 1.0f; - } - /* Get the image aspect even if the buffer is invalid */ - float sca_x = 1.0f, sca_y = 1.0f; - if (ima) { - if (ima->aspx > ima->aspy) { - sca_y = ima->aspy / ima->aspx; - } - else if (ima->aspx < ima->aspy) { - sca_x = ima->aspx / ima->aspy; - } - } - - const float scale_x_inv = ima_x * sca_x; - const float scale_y_inv = ima_y * sca_y; - if (scale_x_inv > scale_y_inv) { - r_image_aspect[0] = 1.0f; - r_image_aspect[1] = scale_y_inv / scale_x_inv; - } - else { - r_image_aspect[0] = scale_x_inv / scale_y_inv; - r_image_aspect[1] = 1.0f; - } + float ima_x, ima_y; + if (ima) { + ima_x = size[0]; + ima_y = size[1]; + } + else { + /* if no image, make it a 1x1 empty square, honor scale & offset */ + ima_x = ima_y = 1.0f; + } + /* Get the image aspect even if the buffer is invalid */ + float sca_x = 1.0f, sca_y = 1.0f; + if (ima) { + if (ima->aspx > ima->aspy) { + sca_y = ima->aspy / ima->aspx; + } + else if (ima->aspx < ima->aspy) { + sca_x = ima->aspx / ima->aspy; + } + } + + const float scale_x_inv = ima_x * sca_x; + const float scale_y_inv = ima_y * sca_y; + if (scale_x_inv > scale_y_inv) { + r_image_aspect[0] = 1.0f; + r_image_aspect[1] = scale_y_inv / scale_x_inv; + } + else { + r_image_aspect[0] = scale_x_inv / scale_y_inv; + r_image_aspect[1] = 1.0f; + } } -static void DRW_shgroup_empty_image( - OBJECT_Shaders *sh_data, OBJECT_ShadingGroupList *sgl, - Object *ob, const float color[3], RegionView3D *rv3d, eGPUShaderConfig sh_cfg) +static void DRW_shgroup_empty_image(OBJECT_Shaders *sh_data, + OBJECT_ShadingGroupList *sgl, + Object *ob, + const float color[3], + RegionView3D *rv3d, + eGPUShaderConfig sh_cfg) { - /* TODO: 'StereoViews', see draw_empty_image. */ - - if (!BKE_object_empty_image_frame_is_visible_in_view3d(ob, rv3d)) { - return; - } - - /* Calling 'BKE_image_get_size' may free the texture. Get the size from 'tex' instead, see: T59347 */ - int size[2] = {0}; - - const bool use_alpha_blend = (ob->empty_image_flag & OB_EMPTY_IMAGE_USE_ALPHA_BLEND) != 0; - GPUTexture *tex = NULL; - - if (ob->data != NULL) { - tex = GPU_texture_from_blender(ob->data, ob->iuser, GL_TEXTURE_2D, false); - if (tex) { - size[0] = GPU_texture_width(tex); - size[1] = GPU_texture_height(tex); - } - } - - CLAMP_MIN(size[0], 1); - CLAMP_MIN(size[1], 1); - - float image_aspect[2]; - image_calc_aspect(ob->data, size, image_aspect); - - char depth_mode; - if (DRW_state_is_depth()) { - /* Use the actual depth if we are doing depth tests to determine the distance to the object */ - depth_mode = OB_EMPTY_IMAGE_DEPTH_DEFAULT; - } - else { - depth_mode = ob->empty_image_depth; - } - - { - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->object_empty_image_wire, sgl->non_meshes); - /* TODO(fclem) implement DRW_shgroup_uniform_vec2_copy */ - DRW_shgroup_uniform_float_copy(grp, "aspectX", image_aspect[0]); - DRW_shgroup_uniform_float_copy(grp, "aspectY", image_aspect[1]); - DRW_shgroup_uniform_int_copy(grp, "depthMode", depth_mode); - DRW_shgroup_uniform_float(grp, "size", &ob->empty_drawsize, 1); - DRW_shgroup_uniform_vec2(grp, "offset", ob->ima_ofs, 1); - DRW_shgroup_uniform_vec3(grp, "color", color, 1); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - DRW_shgroup_call_add(grp, DRW_cache_image_plane_wire_get(), ob->obmat); - } - - if (!BKE_object_empty_image_data_is_visible_in_view3d(ob, rv3d)) { - return; - } - - if (tex && ((ob->color[3] > 0.0f) || !use_alpha_blend)) { - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->object_empty_image, - (use_alpha_blend) ? sgl->image_empties : sgl->non_meshes); - DRW_shgroup_uniform_float_copy(grp, "aspectX", image_aspect[0]); - DRW_shgroup_uniform_float_copy(grp, "aspectY", image_aspect[1]); - DRW_shgroup_uniform_int_copy(grp, "depthMode", depth_mode); - DRW_shgroup_uniform_float(grp, "size", &ob->empty_drawsize, 1); - DRW_shgroup_uniform_vec2(grp, "offset", ob->ima_ofs, 1); - DRW_shgroup_uniform_texture(grp, "image", tex); - DRW_shgroup_uniform_vec4(grp, "objectColor", ob->color, 1); - DRW_shgroup_uniform_bool_copy(grp, "useAlphaTest", !use_alpha_blend); - if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); - } - DRW_shgroup_call_add(grp, DRW_cache_image_plane_get(), ob->obmat); - } + /* TODO: 'StereoViews', see draw_empty_image. */ + + if (!BKE_object_empty_image_frame_is_visible_in_view3d(ob, rv3d)) { + return; + } + + /* Calling 'BKE_image_get_size' may free the texture. Get the size from 'tex' instead, see: T59347 */ + int size[2] = {0}; + + const bool use_alpha_blend = (ob->empty_image_flag & OB_EMPTY_IMAGE_USE_ALPHA_BLEND) != 0; + GPUTexture *tex = NULL; + + if (ob->data != NULL) { + tex = GPU_texture_from_blender(ob->data, ob->iuser, GL_TEXTURE_2D, false); + if (tex) { + size[0] = GPU_texture_width(tex); + size[1] = GPU_texture_height(tex); + } + } + + CLAMP_MIN(size[0], 1); + CLAMP_MIN(size[1], 1); + + float image_aspect[2]; + image_calc_aspect(ob->data, size, image_aspect); + + char depth_mode; + if (DRW_state_is_depth()) { + /* Use the actual depth if we are doing depth tests to determine the distance to the object */ + depth_mode = OB_EMPTY_IMAGE_DEPTH_DEFAULT; + } + else { + depth_mode = ob->empty_image_depth; + } + + { + DRWShadingGroup *grp = DRW_shgroup_create(sh_data->object_empty_image_wire, sgl->non_meshes); + /* TODO(fclem) implement DRW_shgroup_uniform_vec2_copy */ + DRW_shgroup_uniform_float_copy(grp, "aspectX", image_aspect[0]); + DRW_shgroup_uniform_float_copy(grp, "aspectY", image_aspect[1]); + DRW_shgroup_uniform_int_copy(grp, "depthMode", depth_mode); + DRW_shgroup_uniform_float(grp, "size", &ob->empty_drawsize, 1); + DRW_shgroup_uniform_vec2(grp, "offset", ob->ima_ofs, 1); + DRW_shgroup_uniform_vec3(grp, "color", color, 1); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + DRW_shgroup_call_add(grp, DRW_cache_image_plane_wire_get(), ob->obmat); + } + + if (!BKE_object_empty_image_data_is_visible_in_view3d(ob, rv3d)) { + return; + } + + if (tex && ((ob->color[3] > 0.0f) || !use_alpha_blend)) { + DRWShadingGroup *grp = DRW_shgroup_create( + sh_data->object_empty_image, (use_alpha_blend) ? sgl->image_empties : sgl->non_meshes); + DRW_shgroup_uniform_float_copy(grp, "aspectX", image_aspect[0]); + DRW_shgroup_uniform_float_copy(grp, "aspectY", image_aspect[1]); + DRW_shgroup_uniform_int_copy(grp, "depthMode", depth_mode); + DRW_shgroup_uniform_float(grp, "size", &ob->empty_drawsize, 1); + DRW_shgroup_uniform_vec2(grp, "offset", ob->ima_ofs, 1); + DRW_shgroup_uniform_texture(grp, "image", tex); + DRW_shgroup_uniform_vec4(grp, "objectColor", ob->color, 1); + DRW_shgroup_uniform_bool_copy(grp, "useAlphaTest", !use_alpha_blend); + if (sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, DRW_context_state_get()->rv3d); + } + DRW_shgroup_call_add(grp, DRW_cache_image_plane_get(), ob->obmat); + } } static void OBJECT_cache_init(void *vedata) { - const GlobalsUboStorage *gb = &G_draw.block; - OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; - OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - OBJECT_PrivateData *g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - const float outline_width = UI_GetThemeValuef(TH_OUTLINE_WIDTH); - const bool do_outline_expand = (U.pixelsize > 1.0) || (outline_width > 2.0f); - const bool do_large_expand = ((U.pixelsize > 1.0) && (outline_width > 2.0f)) || (outline_width > 4.0f); - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - g_data = stl->g_data; - g_data->xray_enabled = XRAY_ACTIVE(draw_ctx->v3d); - g_data->xray_enabled_and_not_wire = g_data->xray_enabled && draw_ctx->v3d->shading.type > OB_WIRE; - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; - psl->outlines = DRW_pass_create("Outlines Depth Pass", state); - - GPUShader *sh = sh_data->outline_prepass; - - if (g_data->xray_enabled_and_not_wire) { - sh = sh_data->outline_prepass_wire; - } - - g_data->outlines_select = shgroup_outline(psl->outlines, &g_data->id_ofs_select, sh, draw_ctx->sh_cfg); - g_data->outlines_select_dupli = shgroup_outline(psl->outlines, &g_data->id_ofs_select_dupli, sh, draw_ctx->sh_cfg); - g_data->outlines_transform = shgroup_outline(psl->outlines, &g_data->id_ofs_transform, sh, draw_ctx->sh_cfg); - g_data->outlines_active = shgroup_outline(psl->outlines, &g_data->id_ofs_active, sh, draw_ctx->sh_cfg); - - g_data->id_ofs_select = 0; - g_data->id_ofs_select_dupli = 0; - g_data->id_ofs_active = 0; - g_data->id_ofs_transform = 0; - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_POINT; - DRWPass *pass = psl->lightprobes = DRW_pass_create("Object Probe Pass", state); - struct GPUBatch *sphere = DRW_cache_sphere_get(); - struct GPUBatch *quad = DRW_cache_quad_get(); - - /* Cubemap */ - g_data->lightprobes_cube_select = shgroup_instance_outline(pass, sphere, &g_data->id_ofs_prb_select); - g_data->lightprobes_cube_select_dupli = shgroup_instance_outline(pass, sphere, &g_data->id_ofs_prb_select_dupli); - g_data->lightprobes_cube_active = shgroup_instance_outline(pass, sphere, &g_data->id_ofs_prb_active); - g_data->lightprobes_cube_transform = shgroup_instance_outline(pass, sphere, &g_data->id_ofs_prb_transform); - - /* Planar */ - g_data->lightprobes_planar_select = shgroup_instance_outline(pass, quad, &g_data->id_ofs_prb_select); - g_data->lightprobes_planar_select_dupli = shgroup_instance_outline(pass, quad, &g_data->id_ofs_prb_select_dupli); - g_data->lightprobes_planar_active = shgroup_instance_outline(pass, quad, &g_data->id_ofs_prb_active); - g_data->lightprobes_planar_transform = shgroup_instance_outline(pass, quad, &g_data->id_ofs_prb_transform); - - g_data->id_ofs_prb_select = 0; - g_data->id_ofs_prb_select_dupli = 0; - g_data->id_ofs_prb_active = 0; - g_data->id_ofs_prb_transform = 0; - } - - { - DRWState state = DRW_STATE_WRITE_COLOR; - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - /* Don't occlude the "outline" detection pass if in xray mode (too much flickering). */ - float alphaOcclu = (g_data->xray_enabled) ? 1.0f : 0.35f; - - psl->outlines_search = DRW_pass_create("Outlines Detect Pass", state); - - GPUShader *sh = (g_data->xray_enabled_and_not_wire) ? sh_data->outline_detect_wire : sh_data->outline_detect; - DRWShadingGroup *grp = DRW_shgroup_create(sh, psl->outlines_search); - DRW_shgroup_uniform_texture_ref(grp, "outlineId", &e_data.outlines_id_tx); - DRW_shgroup_uniform_texture_ref(grp, "outlineDepth", &e_data.outlines_depth_tx); - DRW_shgroup_uniform_texture_ref(grp, "sceneDepth", &dtxl->depth); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_float_copy(grp, "alphaOcclu", alphaOcclu); - DRW_shgroup_uniform_int(grp, "idOffsets", &stl->g_data->id_ofs_active, 4); - DRW_shgroup_call_add(grp, quad, NULL); - - /* This is the bleed pass if do_outline_expand is false. */ - GPUShader *fade_sh = (do_large_expand) ? sh_data->outline_fade_large : sh_data->outline_fade; - psl->outlines_expand = DRW_pass_create("Outlines Expand Pass", state); - - grp = DRW_shgroup_create(fade_sh, psl->outlines_expand); - DRW_shgroup_uniform_texture_ref(grp, "outlineColor", &e_data.outlines_blur_tx); - DRW_shgroup_uniform_bool_copy(grp, "doExpand", do_outline_expand); - DRW_shgroup_call_add(grp, quad, NULL); - - psl->outlines_bleed = DRW_pass_create("Outlines Bleed Pass", state); - - if (do_outline_expand) { - grp = DRW_shgroup_create(sh_data->outline_fade, psl->outlines_bleed); - DRW_shgroup_uniform_texture_ref(grp, "outlineColor", &e_data.outlines_color_tx); - DRW_shgroup_uniform_bool_copy(grp, "doExpand", false); - DRW_shgroup_call_add(grp, quad, NULL); - } - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; - psl->outlines_resolve = DRW_pass_create("Outlines Resolve Pass", state); - - struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); - GPUTexture **outline_tx = (do_outline_expand) ? &e_data.outlines_blur_tx : &e_data.outlines_color_tx; - - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->outline_resolve_aa, psl->outlines_resolve); - DRW_shgroup_uniform_texture_ref(grp, "outlineBluredColor", outline_tx); - DRW_shgroup_uniform_vec2(grp, "rcpDimensions", e_data.inv_viewport_size, 1); - DRW_shgroup_call_add(grp, quad, NULL); - } - - { - /* Grid pass */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; - psl->grid = DRW_pass_create("Infinite Grid Pass", state); - - struct GPUBatch *geom = DRW_cache_grid_get(); - float grid_line_size = max_ff(0.0f, U.pixelsize - 1.0f) * 0.5f; - static float mat[4][4]; - unit_m4(mat); - - /* Create 3 quads to render ordered transparency Z axis */ - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->grid, psl->grid); - DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.zneg_flag, 1); - DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.zplane_axes, 1); - DRW_shgroup_uniform_vec3(grp, "cameraPos", e_data.camera_pos, 1); - DRW_shgroup_uniform_vec4(grp, "gridSettings", e_data.grid_settings, 1); - DRW_shgroup_uniform_float_copy(grp, "lineKernel", grid_line_size); - DRW_shgroup_uniform_float_copy(grp, "meshSize", e_data.grid_mesh_size); - DRW_shgroup_uniform_float(grp, "gridOneOverLogSubdiv", &e_data.grid_settings[4], 1); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_call_add(grp, geom, mat); - - grp = DRW_shgroup_create(sh_data->grid, psl->grid); - DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.grid_flag, 1); - DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.grid_axes, 1); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_call_add(grp, geom, mat); - - grp = DRW_shgroup_create(sh_data->grid, psl->grid); - DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.zpos_flag, 1); - DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.zplane_axes, 1); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); - DRW_shgroup_call_add(grp, geom, mat); - } - - for (int i = 0; i < 2; ++i) { - OBJECT_ShadingGroupList *sgl = (i == 1) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; - - /* Solid bones */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - sgl->bone_solid = psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state); - sgl->bone_outline = psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); - - /* Wire bones */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND; - sgl->bone_wire = psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); - - /* distance outline around envelope bones */ - state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_FRONT; - sgl->bone_envelope = psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", state); - - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE; - sgl->bone_axes = psl->bone_axes[i] = DRW_pass_create("Bone Axes Pass", state); - } - - for (int i = 0; i < 2; ++i) { - OBJECT_ShadingGroupList *sgl = (i == 1) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; - - /* Non Meshes Pass (Camera, empties, lights ...) */ - struct GPUBatch *geom; - struct GPUShader *sh; - - DRWState state = - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND | DRW_STATE_POINT | DRW_STATE_WIRE; - sgl->non_meshes = psl->non_meshes[i] = DRW_pass_create("Non Meshes Pass", state); - - state = DRW_STATE_WRITE_COLOR | - DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND | DRW_STATE_WIRE; - sgl->image_empties = psl->image_empties[i] = DRW_pass_create("Image Empties", state); - - /* Empties */ - geom = DRW_cache_plain_axes_get(); - sgl->plain_axes = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_empty_cube_get(); - sgl->cube = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_circle_get(); - sgl->circle = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_empty_sphere_get(); - sgl->sphere = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_sphere_get(); - sgl->sphere_solid = shgroup_instance_solid(sgl->non_meshes, geom); - - geom = DRW_cache_empty_cylinder_get(); - sgl->cylinder = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_empty_capsule_cap_get(); - sgl->capsule_cap = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_empty_capsule_body_get(); - sgl->capsule_body = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_empty_cone_get(); - sgl->cone = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_arrow_get(); - sgl->single_arrow = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_line_get(); - sgl->single_arrow_line = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_bone_arrows_get(); - sgl->empty_axes = shgroup_instance_empty_axes(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Force Field */ - geom = DRW_cache_field_wind_get(); - sgl->field_wind = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_field_force_get(); - sgl->field_force = shgroup_instance_screen_aligned(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_field_vortex_get(); - sgl->field_vortex = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_screenspace_circle_get(); - sgl->field_curve_sta = shgroup_instance_screen_aligned(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Grease Pencil */ - geom = DRW_cache_gpencil_axes_get(); - sgl->gpencil_axes = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Speaker */ - geom = DRW_cache_speaker_get(); - sgl->speaker = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Probe */ - static float probeSize = 14.0f; - geom = DRW_cache_lightprobe_cube_get(); - sgl->probe_cube = shgroup_instance_screenspace(sgl->non_meshes, geom, &probeSize, draw_ctx->sh_cfg); - - geom = DRW_cache_lightprobe_grid_get(); - sgl->probe_grid = shgroup_instance_screenspace(sgl->non_meshes, geom, &probeSize, draw_ctx->sh_cfg); - - static float probePlanarSize = 20.0f; - geom = DRW_cache_lightprobe_planar_get(); - sgl->probe_planar = shgroup_instance_screenspace(sgl->non_meshes, geom, &probePlanarSize, draw_ctx->sh_cfg); - - /* Camera */ - geom = DRW_cache_camera_get(); - sgl->camera = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_camera_frame_get(); - sgl->camera_frame = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_camera_tria_get(); - sgl->camera_tria = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_plain_axes_get(); - sgl->camera_focus = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_line_get(); - sgl->camera_clip = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - sgl->camera_mist = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_line_endpoints_get(); - sgl->camera_clip_points = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - sgl->camera_mist_points = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_quad_wires_get(); - sgl->camera_stereo_plane_wires = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - DRW_shgroup_state_enable(sgl->camera_stereo_plane_wires, DRW_STATE_WIRE); - - geom = DRW_cache_empty_cube_get(); - sgl->camera_stereo_volume_wires = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - BLI_listbase_clear(&sgl->camera_path); - - /* Texture Space */ - geom = DRW_cache_empty_cube_get(); - sgl->texspace = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Wires (for loose edges) */ - sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_UNIFORM_COLOR, draw_ctx->sh_cfg); - sgl->wire = shgroup_wire(sgl->non_meshes, gb->colorWire, sh, draw_ctx->sh_cfg); - sgl->wire_select = shgroup_wire(sgl->non_meshes, gb->colorSelect, sh, draw_ctx->sh_cfg); - sgl->wire_transform = shgroup_wire(sgl->non_meshes, gb->colorTransform, sh, draw_ctx->sh_cfg); - sgl->wire_active = shgroup_wire(sgl->non_meshes, gb->colorActive, sh, draw_ctx->sh_cfg); - /* Wire (duplicator) */ - sgl->wire_dupli = shgroup_wire(sgl->non_meshes, gb->colorDupli, sh, draw_ctx->sh_cfg); - sgl->wire_dupli_select = shgroup_wire(sgl->non_meshes, gb->colorDupliSelect, sh, draw_ctx->sh_cfg); - - /* Points (loose points) */ - sh = sh_data->loose_points; - sgl->points = shgroup_points(sgl->non_meshes, gb->colorWire, sh, draw_ctx->sh_cfg); - sgl->points_select = shgroup_points(sgl->non_meshes, gb->colorSelect, sh, draw_ctx->sh_cfg); - sgl->points_transform = shgroup_points(sgl->non_meshes, gb->colorTransform, sh, draw_ctx->sh_cfg); - sgl->points_active = shgroup_points(sgl->non_meshes, gb->colorActive, sh, draw_ctx->sh_cfg); - /* Points (duplicator) */ - sgl->points_dupli = shgroup_points(sgl->non_meshes, gb->colorDupli, sh, draw_ctx->sh_cfg); - sgl->points_dupli_select = shgroup_points(sgl->non_meshes, gb->colorDupliSelect, sh, draw_ctx->sh_cfg); - DRW_shgroup_state_disable(sgl->points, DRW_STATE_BLEND); - DRW_shgroup_state_disable(sgl->points_select, DRW_STATE_BLEND); - DRW_shgroup_state_disable(sgl->points_transform, DRW_STATE_BLEND); - DRW_shgroup_state_disable(sgl->points_active, DRW_STATE_BLEND); - DRW_shgroup_state_disable(sgl->points_dupli, DRW_STATE_BLEND); - DRW_shgroup_state_disable(sgl->points_dupli_select, DRW_STATE_BLEND); - - /* Metaballs Handles */ - sgl->mball_handle = shgroup_instance_mball_handles(sgl->non_meshes, draw_ctx->sh_cfg); - - /* Lights */ - /* TODO - * for now we create multiple times the same VBO with only light center coordinates - * but ideally we would only create it once */ - - /* start with buflimit because we don't want stipples */ - geom = DRW_cache_single_line_get(); - sgl->light_buflimit = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + const GlobalsUboStorage *gb = &G_draw.block; + OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; + OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + OBJECT_PrivateData *g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + const float outline_width = UI_GetThemeValuef(TH_OUTLINE_WIDTH); + const bool do_outline_expand = (U.pixelsize > 1.0) || (outline_width > 2.0f); + const bool do_large_expand = ((U.pixelsize > 1.0) && (outline_width > 2.0f)) || + (outline_width > 4.0f); + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + g_data = stl->g_data; + g_data->xray_enabled = XRAY_ACTIVE(draw_ctx->v3d); + g_data->xray_enabled_and_not_wire = g_data->xray_enabled && + draw_ctx->v3d->shading.type > OB_WIRE; + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_WIRE; + psl->outlines = DRW_pass_create("Outlines Depth Pass", state); + + GPUShader *sh = sh_data->outline_prepass; + + if (g_data->xray_enabled_and_not_wire) { + sh = sh_data->outline_prepass_wire; + } + + g_data->outlines_select = shgroup_outline( + psl->outlines, &g_data->id_ofs_select, sh, draw_ctx->sh_cfg); + g_data->outlines_select_dupli = shgroup_outline( + psl->outlines, &g_data->id_ofs_select_dupli, sh, draw_ctx->sh_cfg); + g_data->outlines_transform = shgroup_outline( + psl->outlines, &g_data->id_ofs_transform, sh, draw_ctx->sh_cfg); + g_data->outlines_active = shgroup_outline( + psl->outlines, &g_data->id_ofs_active, sh, draw_ctx->sh_cfg); + + g_data->id_ofs_select = 0; + g_data->id_ofs_select_dupli = 0; + g_data->id_ofs_active = 0; + g_data->id_ofs_transform = 0; + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_POINT; + DRWPass *pass = psl->lightprobes = DRW_pass_create("Object Probe Pass", state); + struct GPUBatch *sphere = DRW_cache_sphere_get(); + struct GPUBatch *quad = DRW_cache_quad_get(); + + /* Cubemap */ + g_data->lightprobes_cube_select = shgroup_instance_outline( + pass, sphere, &g_data->id_ofs_prb_select); + g_data->lightprobes_cube_select_dupli = shgroup_instance_outline( + pass, sphere, &g_data->id_ofs_prb_select_dupli); + g_data->lightprobes_cube_active = shgroup_instance_outline( + pass, sphere, &g_data->id_ofs_prb_active); + g_data->lightprobes_cube_transform = shgroup_instance_outline( + pass, sphere, &g_data->id_ofs_prb_transform); + + /* Planar */ + g_data->lightprobes_planar_select = shgroup_instance_outline( + pass, quad, &g_data->id_ofs_prb_select); + g_data->lightprobes_planar_select_dupli = shgroup_instance_outline( + pass, quad, &g_data->id_ofs_prb_select_dupli); + g_data->lightprobes_planar_active = shgroup_instance_outline( + pass, quad, &g_data->id_ofs_prb_active); + g_data->lightprobes_planar_transform = shgroup_instance_outline( + pass, quad, &g_data->id_ofs_prb_transform); + + g_data->id_ofs_prb_select = 0; + g_data->id_ofs_prb_select_dupli = 0; + g_data->id_ofs_prb_active = 0; + g_data->id_ofs_prb_transform = 0; + } + + { + DRWState state = DRW_STATE_WRITE_COLOR; + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + /* Don't occlude the "outline" detection pass if in xray mode (too much flickering). */ + float alphaOcclu = (g_data->xray_enabled) ? 1.0f : 0.35f; + + psl->outlines_search = DRW_pass_create("Outlines Detect Pass", state); + + GPUShader *sh = (g_data->xray_enabled_and_not_wire) ? sh_data->outline_detect_wire : + sh_data->outline_detect; + DRWShadingGroup *grp = DRW_shgroup_create(sh, psl->outlines_search); + DRW_shgroup_uniform_texture_ref(grp, "outlineId", &e_data.outlines_id_tx); + DRW_shgroup_uniform_texture_ref(grp, "outlineDepth", &e_data.outlines_depth_tx); + DRW_shgroup_uniform_texture_ref(grp, "sceneDepth", &dtxl->depth); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_float_copy(grp, "alphaOcclu", alphaOcclu); + DRW_shgroup_uniform_int(grp, "idOffsets", &stl->g_data->id_ofs_active, 4); + DRW_shgroup_call_add(grp, quad, NULL); + + /* This is the bleed pass if do_outline_expand is false. */ + GPUShader *fade_sh = (do_large_expand) ? sh_data->outline_fade_large : sh_data->outline_fade; + psl->outlines_expand = DRW_pass_create("Outlines Expand Pass", state); + + grp = DRW_shgroup_create(fade_sh, psl->outlines_expand); + DRW_shgroup_uniform_texture_ref(grp, "outlineColor", &e_data.outlines_blur_tx); + DRW_shgroup_uniform_bool_copy(grp, "doExpand", do_outline_expand); + DRW_shgroup_call_add(grp, quad, NULL); + + psl->outlines_bleed = DRW_pass_create("Outlines Bleed Pass", state); + + if (do_outline_expand) { + grp = DRW_shgroup_create(sh_data->outline_fade, psl->outlines_bleed); + DRW_shgroup_uniform_texture_ref(grp, "outlineColor", &e_data.outlines_color_tx); + DRW_shgroup_uniform_bool_copy(grp, "doExpand", false); + DRW_shgroup_call_add(grp, quad, NULL); + } + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; + psl->outlines_resolve = DRW_pass_create("Outlines Resolve Pass", state); + + struct GPUBatch *quad = DRW_cache_fullscreen_quad_get(); + GPUTexture **outline_tx = (do_outline_expand) ? &e_data.outlines_blur_tx : + &e_data.outlines_color_tx; + + DRWShadingGroup *grp = DRW_shgroup_create(sh_data->outline_resolve_aa, psl->outlines_resolve); + DRW_shgroup_uniform_texture_ref(grp, "outlineBluredColor", outline_tx); + DRW_shgroup_uniform_vec2(grp, "rcpDimensions", e_data.inv_viewport_size, 1); + DRW_shgroup_call_add(grp, quad, NULL); + } + + { + /* Grid pass */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND; + psl->grid = DRW_pass_create("Infinite Grid Pass", state); + + struct GPUBatch *geom = DRW_cache_grid_get(); + float grid_line_size = max_ff(0.0f, U.pixelsize - 1.0f) * 0.5f; + static float mat[4][4]; + unit_m4(mat); + + /* Create 3 quads to render ordered transparency Z axis */ + DRWShadingGroup *grp = DRW_shgroup_create(sh_data->grid, psl->grid); + DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.zneg_flag, 1); + DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.zplane_axes, 1); + DRW_shgroup_uniform_vec3(grp, "cameraPos", e_data.camera_pos, 1); + DRW_shgroup_uniform_vec4(grp, "gridSettings", e_data.grid_settings, 1); + DRW_shgroup_uniform_float_copy(grp, "lineKernel", grid_line_size); + DRW_shgroup_uniform_float_copy(grp, "meshSize", e_data.grid_mesh_size); + DRW_shgroup_uniform_float(grp, "gridOneOverLogSubdiv", &e_data.grid_settings[4], 1); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_call_add(grp, geom, mat); + + grp = DRW_shgroup_create(sh_data->grid, psl->grid); + DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.grid_flag, 1); + DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.grid_axes, 1); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_call_add(grp, geom, mat); + + grp = DRW_shgroup_create(sh_data->grid, psl->grid); + DRW_shgroup_uniform_int(grp, "gridFlag", &e_data.zpos_flag, 1); + DRW_shgroup_uniform_vec3(grp, "planeAxes", e_data.zplane_axes, 1); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_texture_ref(grp, "depthBuffer", &dtxl->depth); + DRW_shgroup_call_add(grp, geom, mat); + } + + for (int i = 0; i < 2; ++i) { + OBJECT_ShadingGroupList *sgl = (i == 1) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; + + /* Solid bones */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + sgl->bone_solid = psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state); + sgl->bone_outline = psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); + + /* Wire bones */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND; + sgl->bone_wire = psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); + + /* distance outline around envelope bones */ + state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_FRONT; + sgl->bone_envelope = psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", + state); + + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_WIRE; + sgl->bone_axes = psl->bone_axes[i] = DRW_pass_create("Bone Axes Pass", state); + } + + for (int i = 0; i < 2; ++i) { + OBJECT_ShadingGroupList *sgl = (i == 1) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; + + /* Non Meshes Pass (Camera, empties, lights ...) */ + struct GPUBatch *geom; + struct GPUShader *sh; + + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND | DRW_STATE_POINT | DRW_STATE_WIRE; + sgl->non_meshes = psl->non_meshes[i] = DRW_pass_create("Non Meshes Pass", state); + + state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND | DRW_STATE_WIRE; + sgl->image_empties = psl->image_empties[i] = DRW_pass_create("Image Empties", state); + + /* Empties */ + geom = DRW_cache_plain_axes_get(); + sgl->plain_axes = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_empty_cube_get(); + sgl->cube = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_circle_get(); + sgl->circle = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_empty_sphere_get(); + sgl->sphere = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_sphere_get(); + sgl->sphere_solid = shgroup_instance_solid(sgl->non_meshes, geom); + + geom = DRW_cache_empty_cylinder_get(); + sgl->cylinder = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_empty_capsule_cap_get(); + sgl->capsule_cap = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_empty_capsule_body_get(); + sgl->capsule_body = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_empty_cone_get(); + sgl->cone = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_arrow_get(); + sgl->single_arrow = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_line_get(); + sgl->single_arrow_line = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_bone_arrows_get(); + sgl->empty_axes = shgroup_instance_empty_axes(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Force Field */ + geom = DRW_cache_field_wind_get(); + sgl->field_wind = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_field_force_get(); + sgl->field_force = shgroup_instance_screen_aligned(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_field_vortex_get(); + sgl->field_vortex = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_screenspace_circle_get(); + sgl->field_curve_sta = shgroup_instance_screen_aligned( + sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Grease Pencil */ + geom = DRW_cache_gpencil_axes_get(); + sgl->gpencil_axes = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Speaker */ + geom = DRW_cache_speaker_get(); + sgl->speaker = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Probe */ + static float probeSize = 14.0f; + geom = DRW_cache_lightprobe_cube_get(); + sgl->probe_cube = shgroup_instance_screenspace( + sgl->non_meshes, geom, &probeSize, draw_ctx->sh_cfg); + + geom = DRW_cache_lightprobe_grid_get(); + sgl->probe_grid = shgroup_instance_screenspace( + sgl->non_meshes, geom, &probeSize, draw_ctx->sh_cfg); + + static float probePlanarSize = 20.0f; + geom = DRW_cache_lightprobe_planar_get(); + sgl->probe_planar = shgroup_instance_screenspace( + sgl->non_meshes, geom, &probePlanarSize, draw_ctx->sh_cfg); + + /* Camera */ + geom = DRW_cache_camera_get(); + sgl->camera = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_camera_frame_get(); + sgl->camera_frame = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_camera_tria_get(); + sgl->camera_tria = shgroup_camera_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_plain_axes_get(); + sgl->camera_focus = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_line_get(); + sgl->camera_clip = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + sgl->camera_mist = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_line_endpoints_get(); + sgl->camera_clip_points = shgroup_distance_lines_instance( + sgl->non_meshes, geom, draw_ctx->sh_cfg); + sgl->camera_mist_points = shgroup_distance_lines_instance( + sgl->non_meshes, geom, draw_ctx->sh_cfg); - sgl->light_center = shgroup_dynpoints_uniform_color(sgl->non_meshes, gb->colorLightNoAlpha, &gb->sizeLightCenter, draw_ctx->sh_cfg); + geom = DRW_cache_quad_wires_get(); + sgl->camera_stereo_plane_wires = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + DRW_shgroup_state_enable(sgl->camera_stereo_plane_wires, DRW_STATE_WIRE); + + geom = DRW_cache_empty_cube_get(); + sgl->camera_stereo_volume_wires = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - geom = DRW_cache_light_get(); - sgl->light_circle = shgroup_instance_screenspace(sgl->non_meshes, geom, &gb->sizeLightCircle, draw_ctx->sh_cfg); - geom = DRW_cache_light_shadows_get(); - sgl->light_circle_shadow = shgroup_instance_screenspace(sgl->non_meshes, geom, &gb->sizeLightCircleShadow, draw_ctx->sh_cfg); + BLI_listbase_clear(&sgl->camera_path); - geom = DRW_cache_light_sunrays_get(); - sgl->light_sunrays = shgroup_instance_screenspace(sgl->non_meshes, geom, &gb->sizeLightCircle, draw_ctx->sh_cfg); + /* Texture Space */ + geom = DRW_cache_empty_cube_get(); + sgl->texspace = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - sgl->light_groundline = shgroup_groundlines_uniform_color(sgl->non_meshes, gb->colorLight, draw_ctx->sh_cfg); - sgl->light_groundpoint = shgroup_groundpoints_uniform_color(sgl->non_meshes, gb->colorLight, draw_ctx->sh_cfg); - - geom = DRW_cache_screenspace_circle_get(); - sgl->light_area_sphere = shgroup_instance_screen_aligned(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_area_square_get(); - sgl->light_area_square = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_area_disk_get(); - sgl->light_area_disk = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_hemi_get(); - sgl->light_hemi = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_line_get(); - sgl->light_distance = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_single_line_endpoints_get(); - sgl->light_buflimit_points = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_spot_get(); - sgl->light_spot_cone = shgroup_spot_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_circle_get(); - sgl->light_spot_blend = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_spot_square_get(); - sgl->light_spot_pyramid = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_square_get(); - sgl->light_spot_blend_rect = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* -------- STIPPLES ------- */ - - /* Relationship Lines */ - sgl->relationship_lines = shgroup_dynlines_dashed_uniform_color(sgl->non_meshes, gb->colorWire, draw_ctx->sh_cfg); - sgl->constraint_lines = shgroup_dynlines_dashed_uniform_color(sgl->non_meshes, gb->colorGridAxisZ, draw_ctx->sh_cfg); - - /* Force Field Curve Guide End (here because of stipple) */ - /* TODO port to shader stipple */ - geom = DRW_cache_screenspace_circle_get(); - sgl->field_curve_end = shgroup_instance_screen_aligned(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Force Field Limits */ - /* TODO port to shader stipple */ - geom = DRW_cache_field_tube_limit_get(); - sgl->field_tube_limit = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* TODO port to shader stipple */ - geom = DRW_cache_field_cone_limit_get(); - sgl->field_cone_limit = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); - - /* Transparent Shapes */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND | DRW_STATE_CULL_FRONT; - sgl->transp_shapes = psl->transp_shapes[i] = DRW_pass_create("Transparent Shapes", state); - - /* Spot cones */ - geom = DRW_cache_light_spot_volume_get(); - sgl->light_spot_volume = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_spot_square_volume_get(); - sgl->light_spot_volume_rect = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_light_spot_volume_get(); - sgl->light_spot_volume_outside = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - DRW_shgroup_state_disable(sgl->light_spot_volume_outside, DRW_STATE_CULL_FRONT); - DRW_shgroup_state_enable(sgl->light_spot_volume_outside, DRW_STATE_CULL_BACK); - - geom = DRW_cache_light_spot_square_volume_get(); - sgl->light_spot_volume_rect_outside = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - DRW_shgroup_state_disable(sgl->light_spot_volume_rect_outside, DRW_STATE_CULL_FRONT); - DRW_shgroup_state_enable(sgl->light_spot_volume_rect_outside, DRW_STATE_CULL_BACK); - - /* Camera stereo volumes */ - geom = DRW_cache_cube_get(); - sgl->camera_stereo_volume = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - - geom = DRW_cache_quad_get(); - sgl->camera_stereo_plane = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); - DRW_shgroup_state_disable(sgl->camera_stereo_plane, DRW_STATE_CULL_FRONT); - } - - { - /* Object Center pass grouped by State */ - DRWShadingGroup *grp; - static float outlineWidth, size; - - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_POINT; - psl->ob_center = DRW_pass_create("Obj Center Pass", state); - - outlineWidth = 1.0f * U.pixelsize; - size = U.obcenter_dia * U.pixelsize + outlineWidth; - - GPUShader *sh = GPU_shader_get_builtin_shader_with_config( - GPU_SHADER_3D_POINT_UNIFORM_SIZE_UNIFORM_COLOR_OUTLINE_AA, draw_ctx->sh_cfg); - - /* Active */ - grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); - DRW_shgroup_uniform_float(grp, "size", &size, 1); - DRW_shgroup_uniform_float(grp, "outlineWidth", &outlineWidth, 1); - DRW_shgroup_uniform_vec4(grp, "color", gb->colorActive, 1); - DRW_shgroup_uniform_vec4(grp, "outlineColor", gb->colorOutline, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); - } - stl->g_data->center_active = grp; - - /* Select */ - grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); - DRW_shgroup_uniform_vec4(grp, "color", gb->colorSelect, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); - } - stl->g_data->center_selected = grp; - - /* Deselect */ - grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); - DRW_shgroup_uniform_vec4(grp, "color", gb->colorDeselect, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); - } - stl->g_data->center_deselected = grp; - - /* Select (library) */ - grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); - DRW_shgroup_uniform_vec4(grp, "color", gb->colorLibrarySelect, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); - } - stl->g_data->center_selected_lib = grp; - - /* Deselect (library) */ - grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); - DRW_shgroup_uniform_vec4(grp, "color", gb->colorLibrary, 1); - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); - } - stl->g_data->center_deselected_lib = grp; - } - - { - /* Particle Pass */ - psl->particle = DRW_pass_create( - "Particle Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_POINT | DRW_STATE_BLEND); - } + /* Wires (for loose edges) */ + sh = GPU_shader_get_builtin_shader_with_config(GPU_SHADER_3D_UNIFORM_COLOR, draw_ctx->sh_cfg); + sgl->wire = shgroup_wire(sgl->non_meshes, gb->colorWire, sh, draw_ctx->sh_cfg); + sgl->wire_select = shgroup_wire(sgl->non_meshes, gb->colorSelect, sh, draw_ctx->sh_cfg); + sgl->wire_transform = shgroup_wire(sgl->non_meshes, gb->colorTransform, sh, draw_ctx->sh_cfg); + sgl->wire_active = shgroup_wire(sgl->non_meshes, gb->colorActive, sh, draw_ctx->sh_cfg); + /* Wire (duplicator) */ + sgl->wire_dupli = shgroup_wire(sgl->non_meshes, gb->colorDupli, sh, draw_ctx->sh_cfg); + sgl->wire_dupli_select = shgroup_wire( + sgl->non_meshes, gb->colorDupliSelect, sh, draw_ctx->sh_cfg); + + /* Points (loose points) */ + sh = sh_data->loose_points; + sgl->points = shgroup_points(sgl->non_meshes, gb->colorWire, sh, draw_ctx->sh_cfg); + sgl->points_select = shgroup_points(sgl->non_meshes, gb->colorSelect, sh, draw_ctx->sh_cfg); + sgl->points_transform = shgroup_points( + sgl->non_meshes, gb->colorTransform, sh, draw_ctx->sh_cfg); + sgl->points_active = shgroup_points(sgl->non_meshes, gb->colorActive, sh, draw_ctx->sh_cfg); + /* Points (duplicator) */ + sgl->points_dupli = shgroup_points(sgl->non_meshes, gb->colorDupli, sh, draw_ctx->sh_cfg); + sgl->points_dupli_select = shgroup_points( + sgl->non_meshes, gb->colorDupliSelect, sh, draw_ctx->sh_cfg); + DRW_shgroup_state_disable(sgl->points, DRW_STATE_BLEND); + DRW_shgroup_state_disable(sgl->points_select, DRW_STATE_BLEND); + DRW_shgroup_state_disable(sgl->points_transform, DRW_STATE_BLEND); + DRW_shgroup_state_disable(sgl->points_active, DRW_STATE_BLEND); + DRW_shgroup_state_disable(sgl->points_dupli, DRW_STATE_BLEND); + DRW_shgroup_state_disable(sgl->points_dupli_select, DRW_STATE_BLEND); + + /* Metaballs Handles */ + sgl->mball_handle = shgroup_instance_mball_handles(sgl->non_meshes, draw_ctx->sh_cfg); + + /* Lights */ + /* TODO + * for now we create multiple times the same VBO with only light center coordinates + * but ideally we would only create it once */ + + /* start with buflimit because we don't want stipples */ + geom = DRW_cache_single_line_get(); + sgl->light_buflimit = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + sgl->light_center = shgroup_dynpoints_uniform_color( + sgl->non_meshes, gb->colorLightNoAlpha, &gb->sizeLightCenter, draw_ctx->sh_cfg); + + geom = DRW_cache_light_get(); + sgl->light_circle = shgroup_instance_screenspace( + sgl->non_meshes, geom, &gb->sizeLightCircle, draw_ctx->sh_cfg); + geom = DRW_cache_light_shadows_get(); + sgl->light_circle_shadow = shgroup_instance_screenspace( + sgl->non_meshes, geom, &gb->sizeLightCircleShadow, draw_ctx->sh_cfg); + + geom = DRW_cache_light_sunrays_get(); + sgl->light_sunrays = shgroup_instance_screenspace( + sgl->non_meshes, geom, &gb->sizeLightCircle, draw_ctx->sh_cfg); + + sgl->light_groundline = shgroup_groundlines_uniform_color( + sgl->non_meshes, gb->colorLight, draw_ctx->sh_cfg); + sgl->light_groundpoint = shgroup_groundpoints_uniform_color( + sgl->non_meshes, gb->colorLight, draw_ctx->sh_cfg); + + geom = DRW_cache_screenspace_circle_get(); + sgl->light_area_sphere = shgroup_instance_screen_aligned( + sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_area_square_get(); + sgl->light_area_square = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_area_disk_get(); + sgl->light_area_disk = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_hemi_get(); + sgl->light_hemi = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_line_get(); + sgl->light_distance = shgroup_distance_lines_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_single_line_endpoints_get(); + sgl->light_buflimit_points = shgroup_distance_lines_instance( + sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_spot_get(); + sgl->light_spot_cone = shgroup_spot_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_circle_get(); + sgl->light_spot_blend = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_spot_square_get(); + sgl->light_spot_pyramid = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_square_get(); + sgl->light_spot_blend_rect = shgroup_instance(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* -------- STIPPLES ------- */ + + /* Relationship Lines */ + sgl->relationship_lines = shgroup_dynlines_dashed_uniform_color( + sgl->non_meshes, gb->colorWire, draw_ctx->sh_cfg); + sgl->constraint_lines = shgroup_dynlines_dashed_uniform_color( + sgl->non_meshes, gb->colorGridAxisZ, draw_ctx->sh_cfg); + + /* Force Field Curve Guide End (here because of stipple) */ + /* TODO port to shader stipple */ + geom = DRW_cache_screenspace_circle_get(); + sgl->field_curve_end = shgroup_instance_screen_aligned( + sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Force Field Limits */ + /* TODO port to shader stipple */ + geom = DRW_cache_field_tube_limit_get(); + sgl->field_tube_limit = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* TODO port to shader stipple */ + geom = DRW_cache_field_cone_limit_get(); + sgl->field_cone_limit = shgroup_instance_scaled(sgl->non_meshes, geom, draw_ctx->sh_cfg); + + /* Transparent Shapes */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND | + DRW_STATE_CULL_FRONT; + sgl->transp_shapes = psl->transp_shapes[i] = DRW_pass_create("Transparent Shapes", state); + + /* Spot cones */ + geom = DRW_cache_light_spot_volume_get(); + sgl->light_spot_volume = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_spot_square_volume_get(); + sgl->light_spot_volume_rect = shgroup_instance_alpha( + sgl->transp_shapes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_light_spot_volume_get(); + sgl->light_spot_volume_outside = shgroup_instance_alpha( + sgl->transp_shapes, geom, draw_ctx->sh_cfg); + DRW_shgroup_state_disable(sgl->light_spot_volume_outside, DRW_STATE_CULL_FRONT); + DRW_shgroup_state_enable(sgl->light_spot_volume_outside, DRW_STATE_CULL_BACK); + + geom = DRW_cache_light_spot_square_volume_get(); + sgl->light_spot_volume_rect_outside = shgroup_instance_alpha( + sgl->transp_shapes, geom, draw_ctx->sh_cfg); + DRW_shgroup_state_disable(sgl->light_spot_volume_rect_outside, DRW_STATE_CULL_FRONT); + DRW_shgroup_state_enable(sgl->light_spot_volume_rect_outside, DRW_STATE_CULL_BACK); + + /* Camera stereo volumes */ + geom = DRW_cache_cube_get(); + sgl->camera_stereo_volume = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); + + geom = DRW_cache_quad_get(); + sgl->camera_stereo_plane = shgroup_instance_alpha(sgl->transp_shapes, geom, draw_ctx->sh_cfg); + DRW_shgroup_state_disable(sgl->camera_stereo_plane, DRW_STATE_CULL_FRONT); + } + + { + /* Object Center pass grouped by State */ + DRWShadingGroup *grp; + static float outlineWidth, size; + + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_BLEND | DRW_STATE_POINT; + psl->ob_center = DRW_pass_create("Obj Center Pass", state); + + outlineWidth = 1.0f * U.pixelsize; + size = U.obcenter_dia * U.pixelsize + outlineWidth; + + GPUShader *sh = GPU_shader_get_builtin_shader_with_config( + GPU_SHADER_3D_POINT_UNIFORM_SIZE_UNIFORM_COLOR_OUTLINE_AA, draw_ctx->sh_cfg); + + /* Active */ + grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); + DRW_shgroup_uniform_float(grp, "size", &size, 1); + DRW_shgroup_uniform_float(grp, "outlineWidth", &outlineWidth, 1); + DRW_shgroup_uniform_vec4(grp, "color", gb->colorActive, 1); + DRW_shgroup_uniform_vec4(grp, "outlineColor", gb->colorOutline, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); + } + stl->g_data->center_active = grp; + + /* Select */ + grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); + DRW_shgroup_uniform_vec4(grp, "color", gb->colorSelect, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); + } + stl->g_data->center_selected = grp; + + /* Deselect */ + grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); + DRW_shgroup_uniform_vec4(grp, "color", gb->colorDeselect, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); + } + stl->g_data->center_deselected = grp; + + /* Select (library) */ + grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); + DRW_shgroup_uniform_vec4(grp, "color", gb->colorLibrarySelect, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); + } + stl->g_data->center_selected_lib = grp; + + /* Deselect (library) */ + grp = DRW_shgroup_point_batch_create(sh, psl->ob_center); + DRW_shgroup_uniform_vec4(grp, "color", gb->colorLibrary, 1); + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_shgroup_world_clip_planes_from_rv3d(grp, draw_ctx->rv3d); + } + stl->g_data->center_deselected_lib = grp; + } + + { + /* Particle Pass */ + psl->particle = DRW_pass_create("Particle Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_POINT | + DRW_STATE_BLEND); + } } -static void DRW_shgroup_mball_handles(OBJECT_ShadingGroupList *sgl, Object *ob, ViewLayer *view_layer) +static void DRW_shgroup_mball_handles(OBJECT_ShadingGroupList *sgl, + Object *ob, + ViewLayer *view_layer) { - MetaBall *mb = ob->data; - - float *color; - DRW_object_wire_theme_get(ob, view_layer, &color); - - float draw_scale_xform[3][4]; /* Matrix of Scale and Translation */ - { - float scamat[3][3]; - copy_m3_m4(scamat, ob->obmat); - /* Get the normalized inverse matrix to extract only - * the scale of Scamat */ - float iscamat[3][3]; - invert_m3_m3(iscamat, scamat); - normalize_m3(iscamat); - mul_m3_m3_post(scamat, iscamat); - - copy_v3_v3(draw_scale_xform[0], scamat[0]); - copy_v3_v3(draw_scale_xform[1], scamat[1]); - copy_v3_v3(draw_scale_xform[2], scamat[2]); - } - - for (MetaElem *ml = mb->elems.first; ml != NULL; ml = ml->next) { - /* draw radius */ - float world_pos[3]; - mul_v3_m4v3(world_pos, ob->obmat, &ml->x); - draw_scale_xform[0][3] = world_pos[0]; - draw_scale_xform[1][3] = world_pos[1]; - draw_scale_xform[2][3] = world_pos[2]; - - DRW_shgroup_call_dynamic_add(sgl->mball_handle, draw_scale_xform, &ml->rad, color); - } + MetaBall *mb = ob->data; + + float *color; + DRW_object_wire_theme_get(ob, view_layer, &color); + + float draw_scale_xform[3][4]; /* Matrix of Scale and Translation */ + { + float scamat[3][3]; + copy_m3_m4(scamat, ob->obmat); + /* Get the normalized inverse matrix to extract only + * the scale of Scamat */ + float iscamat[3][3]; + invert_m3_m3(iscamat, scamat); + normalize_m3(iscamat); + mul_m3_m3_post(scamat, iscamat); + + copy_v3_v3(draw_scale_xform[0], scamat[0]); + copy_v3_v3(draw_scale_xform[1], scamat[1]); + copy_v3_v3(draw_scale_xform[2], scamat[2]); + } + + for (MetaElem *ml = mb->elems.first; ml != NULL; ml = ml->next) { + /* draw radius */ + float world_pos[3]; + mul_v3_m4v3(world_pos, ob->obmat, &ml->x); + draw_scale_xform[0][3] = world_pos[0]; + draw_scale_xform[1][3] = world_pos[1]; + draw_scale_xform[2][3] = world_pos[2]; + + DRW_shgroup_call_dynamic_add(sgl->mball_handle, draw_scale_xform, &ml->rad, color); + } } static void DRW_shgroup_light(OBJECT_ShadingGroupList *sgl, Object *ob, ViewLayer *view_layer) { - Light *la = ob->data; - float *color; - int theme_id = DRW_object_wire_theme_get(ob, view_layer, &color); - static float zero = 0.0f; - - typedef struct LightEngineData { - DrawData dd; - float shape_mat[4][4]; - float spot_blend_mat[4][4]; - } LightEngineData; - - LightEngineData *light_engine_data = - (LightEngineData *)DRW_drawdata_ensure( - &ob->id, - &draw_engine_object_type, - sizeof(LightEngineData), - NULL, - NULL); - - float (*shapemat)[4] = light_engine_data->shape_mat; - float (*spotblendmat)[4] = light_engine_data->spot_blend_mat; - - if ((ob->base_flag & (BASE_FROM_SET | BASE_FROM_DUPLI)) == 0) { - /* Don't draw the center if it's selected or active */ - if (theme_id == TH_LIGHT) { - DRW_shgroup_call_dynamic_add(sgl->light_center, ob->obmat[3]); - } - } - - /* First circle */ - DRW_shgroup_call_dynamic_add(sgl->light_circle, ob->obmat[3], color); - - /* draw dashed outer circle for shadow */ - DRW_shgroup_call_dynamic_add(sgl->light_circle_shadow, ob->obmat[3], color); - - /* Distance */ - if (ELEM(la->type, LA_SUN, LA_AREA)) { - DRW_shgroup_call_dynamic_add(sgl->light_distance, color, &zero, &la->dist, ob->obmat); - } - - copy_m4_m4(shapemat, ob->obmat); - - if (la->type == LA_SUN) { - DRW_shgroup_call_dynamic_add(sgl->light_sunrays, ob->obmat[3], color); - } - else if (la->type == LA_SPOT) { - float size[3], sizemat[4][4]; - static float one = 1.0f; - float cone_inside[4] = {0.0f, 0.0f, 0.0f, 0.5f}; - float cone_outside[4] = {1.0f, 1.0f, 1.0f, 0.3f}; - float blend = 1.0f - pow2f(la->spotblend); - size[0] = size[1] = sinf(la->spotsize * 0.5f) * la->dist; - size[2] = cosf(la->spotsize * 0.5f) * la->dist; - - size_to_mat4(sizemat, size); - mul_m4_m4m4(shapemat, ob->obmat, sizemat); - - size[0] = size[1] = blend; size[2] = 1.0f; - size_to_mat4(sizemat, size); - translate_m4(sizemat, 0.0f, 0.0f, -1.0f); - rotate_m4(sizemat, 'X', (float)(M_PI / 2)); - mul_m4_m4m4(spotblendmat, shapemat, sizemat); - - if (la->mode & LA_SQUARE) { - DRW_shgroup_call_dynamic_add(sgl->light_spot_pyramid, color, &one, shapemat); - - /* hide line if it is zero size or overlaps with outer border, - * previously it adjusted to always to show it but that seems - * confusing because it doesn't show the actual blend size */ - if (blend != 0.0f && blend != 1.0f) { - DRW_shgroup_call_dynamic_add(sgl->light_spot_blend_rect, color, &one, spotblendmat); - } - - if (la->mode & LA_SHOW_CONE) { - - DRW_shgroup_call_dynamic_add(sgl->light_spot_volume_rect, cone_inside, &one, shapemat); - DRW_shgroup_call_dynamic_add(sgl->light_spot_volume_rect_outside, cone_outside, &one, shapemat); - } - } - else { - DRW_shgroup_call_dynamic_add(sgl->light_spot_cone, color, shapemat); - - /* hide line if it is zero size or overlaps with outer border, - * previously it adjusted to always to show it but that seems - * confusing because it doesn't show the actual blend size */ - if (blend != 0.0f && blend != 1.0f) { - DRW_shgroup_call_dynamic_add(sgl->light_spot_blend, color, &one, spotblendmat); - } - - if (la->mode & LA_SHOW_CONE) { - DRW_shgroup_call_dynamic_add(sgl->light_spot_volume, cone_inside, &one, shapemat); - DRW_shgroup_call_dynamic_add(sgl->light_spot_volume_outside, cone_outside, &one, shapemat); - } - } - - DRW_shgroup_call_dynamic_add(sgl->light_buflimit, color, &la->clipsta, &la->clipend, ob->obmat); - DRW_shgroup_call_dynamic_add(sgl->light_buflimit_points, color, &la->clipsta, &la->clipend, ob->obmat); - } - else if (la->type == LA_AREA) { - float size[3] = {1.0f, 1.0f, 1.0f}, sizemat[4][4]; - - if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_ELLIPSE)) { - size[1] = la->area_sizey / la->area_size; - size_to_mat4(sizemat, size); - mul_m4_m4m4(shapemat, shapemat, sizemat); - } - - if (ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { - DRW_shgroup_call_dynamic_add(sgl->light_area_disk, color, &la->area_size, shapemat); - } - else { - DRW_shgroup_call_dynamic_add(sgl->light_area_square, color, &la->area_size, shapemat); - } - } - - if (ELEM(la->type, LA_LOCAL, LA_SPOT)) { - /* We only want position not scale. */ - shapemat[0][0] = shapemat[1][1] = shapemat[2][2] = 1.0f; - shapemat[0][1] = shapemat[0][2] = 0.0f; - shapemat[1][0] = shapemat[1][2] = 0.0f; - shapemat[2][0] = shapemat[2][1] = 0.0f; - DRW_shgroup_call_dynamic_add(sgl->light_area_sphere, color, &la->area_size, shapemat); - } - - /* Line and point going to the ground */ - DRW_shgroup_call_dynamic_add(sgl->light_groundline, ob->obmat[3]); - DRW_shgroup_call_dynamic_add(sgl->light_groundpoint, ob->obmat[3]); + Light *la = ob->data; + float *color; + int theme_id = DRW_object_wire_theme_get(ob, view_layer, &color); + static float zero = 0.0f; + + typedef struct LightEngineData { + DrawData dd; + float shape_mat[4][4]; + float spot_blend_mat[4][4]; + } LightEngineData; + + LightEngineData *light_engine_data = (LightEngineData *)DRW_drawdata_ensure( + &ob->id, &draw_engine_object_type, sizeof(LightEngineData), NULL, NULL); + + float(*shapemat)[4] = light_engine_data->shape_mat; + float(*spotblendmat)[4] = light_engine_data->spot_blend_mat; + + if ((ob->base_flag & (BASE_FROM_SET | BASE_FROM_DUPLI)) == 0) { + /* Don't draw the center if it's selected or active */ + if (theme_id == TH_LIGHT) { + DRW_shgroup_call_dynamic_add(sgl->light_center, ob->obmat[3]); + } + } + + /* First circle */ + DRW_shgroup_call_dynamic_add(sgl->light_circle, ob->obmat[3], color); + + /* draw dashed outer circle for shadow */ + DRW_shgroup_call_dynamic_add(sgl->light_circle_shadow, ob->obmat[3], color); + + /* Distance */ + if (ELEM(la->type, LA_SUN, LA_AREA)) { + DRW_shgroup_call_dynamic_add(sgl->light_distance, color, &zero, &la->dist, ob->obmat); + } + + copy_m4_m4(shapemat, ob->obmat); + + if (la->type == LA_SUN) { + DRW_shgroup_call_dynamic_add(sgl->light_sunrays, ob->obmat[3], color); + } + else if (la->type == LA_SPOT) { + float size[3], sizemat[4][4]; + static float one = 1.0f; + float cone_inside[4] = {0.0f, 0.0f, 0.0f, 0.5f}; + float cone_outside[4] = {1.0f, 1.0f, 1.0f, 0.3f}; + float blend = 1.0f - pow2f(la->spotblend); + size[0] = size[1] = sinf(la->spotsize * 0.5f) * la->dist; + size[2] = cosf(la->spotsize * 0.5f) * la->dist; + + size_to_mat4(sizemat, size); + mul_m4_m4m4(shapemat, ob->obmat, sizemat); + + size[0] = size[1] = blend; + size[2] = 1.0f; + size_to_mat4(sizemat, size); + translate_m4(sizemat, 0.0f, 0.0f, -1.0f); + rotate_m4(sizemat, 'X', (float)(M_PI / 2)); + mul_m4_m4m4(spotblendmat, shapemat, sizemat); + + if (la->mode & LA_SQUARE) { + DRW_shgroup_call_dynamic_add(sgl->light_spot_pyramid, color, &one, shapemat); + + /* hide line if it is zero size or overlaps with outer border, + * previously it adjusted to always to show it but that seems + * confusing because it doesn't show the actual blend size */ + if (blend != 0.0f && blend != 1.0f) { + DRW_shgroup_call_dynamic_add(sgl->light_spot_blend_rect, color, &one, spotblendmat); + } + + if (la->mode & LA_SHOW_CONE) { + + DRW_shgroup_call_dynamic_add(sgl->light_spot_volume_rect, cone_inside, &one, shapemat); + DRW_shgroup_call_dynamic_add( + sgl->light_spot_volume_rect_outside, cone_outside, &one, shapemat); + } + } + else { + DRW_shgroup_call_dynamic_add(sgl->light_spot_cone, color, shapemat); + + /* hide line if it is zero size or overlaps with outer border, + * previously it adjusted to always to show it but that seems + * confusing because it doesn't show the actual blend size */ + if (blend != 0.0f && blend != 1.0f) { + DRW_shgroup_call_dynamic_add(sgl->light_spot_blend, color, &one, spotblendmat); + } + + if (la->mode & LA_SHOW_CONE) { + DRW_shgroup_call_dynamic_add(sgl->light_spot_volume, cone_inside, &one, shapemat); + DRW_shgroup_call_dynamic_add(sgl->light_spot_volume_outside, cone_outside, &one, shapemat); + } + } + + DRW_shgroup_call_dynamic_add( + sgl->light_buflimit, color, &la->clipsta, &la->clipend, ob->obmat); + DRW_shgroup_call_dynamic_add( + sgl->light_buflimit_points, color, &la->clipsta, &la->clipend, ob->obmat); + } + else if (la->type == LA_AREA) { + float size[3] = {1.0f, 1.0f, 1.0f}, sizemat[4][4]; + + if (ELEM(la->area_shape, LA_AREA_RECT, LA_AREA_ELLIPSE)) { + size[1] = la->area_sizey / la->area_size; + size_to_mat4(sizemat, size); + mul_m4_m4m4(shapemat, shapemat, sizemat); + } + + if (ELEM(la->area_shape, LA_AREA_DISK, LA_AREA_ELLIPSE)) { + DRW_shgroup_call_dynamic_add(sgl->light_area_disk, color, &la->area_size, shapemat); + } + else { + DRW_shgroup_call_dynamic_add(sgl->light_area_square, color, &la->area_size, shapemat); + } + } + + if (ELEM(la->type, LA_LOCAL, LA_SPOT)) { + /* We only want position not scale. */ + shapemat[0][0] = shapemat[1][1] = shapemat[2][2] = 1.0f; + shapemat[0][1] = shapemat[0][2] = 0.0f; + shapemat[1][0] = shapemat[1][2] = 0.0f; + shapemat[2][0] = shapemat[2][1] = 0.0f; + DRW_shgroup_call_dynamic_add(sgl->light_area_sphere, color, &la->area_size, shapemat); + } + + /* Line and point going to the ground */ + DRW_shgroup_call_dynamic_add(sgl->light_groundline, ob->obmat[3]); + DRW_shgroup_call_dynamic_add(sgl->light_groundpoint, ob->obmat[3]); } -static GPUBatch *batch_camera_path_get( - ListBase *camera_paths, const MovieTrackingReconstruction *reconstruction) +static GPUBatch *batch_camera_path_get(ListBase *camera_paths, + const MovieTrackingReconstruction *reconstruction) { - GPUBatch *geom; - static GPUVertFormat format = { 0 }; - static struct { uint pos; } attr_id; - if (format.attr_len == 0) { - attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); - } - GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); - GPU_vertbuf_data_alloc(vbo, reconstruction->camnr); - - MovieReconstructedCamera *camera = reconstruction->cameras; - for (int a = 0; a < reconstruction->camnr; a++, camera++) { - GPU_vertbuf_attr_set(vbo, attr_id.pos, a, camera->mat[3]); - } - - geom = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); - - /* Store the batch to do cleanup after drawing. */ - BLI_addtail(camera_paths, BLI_genericNodeN(geom)); - return geom; + GPUBatch *geom; + static GPUVertFormat format = {0}; + static struct { + uint pos; + } attr_id; + if (format.attr_len == 0) { + attr_id.pos = GPU_vertformat_attr_add(&format, "pos", GPU_COMP_F32, 3, GPU_FETCH_FLOAT); + } + GPUVertBuf *vbo = GPU_vertbuf_create_with_format(&format); + GPU_vertbuf_data_alloc(vbo, reconstruction->camnr); + + MovieReconstructedCamera *camera = reconstruction->cameras; + for (int a = 0; a < reconstruction->camnr; a++, camera++) { + GPU_vertbuf_attr_set(vbo, attr_id.pos, a, camera->mat[3]); + } + + geom = GPU_batch_create_ex(GPU_PRIM_LINE_STRIP, vbo, NULL, GPU_BATCH_OWNS_VBO); + + /* Store the batch to do cleanup after drawing. */ + BLI_addtail(camera_paths, BLI_genericNodeN(geom)); + return geom; } static void batch_camera_path_free(ListBase *camera_paths) { - LinkData *link; - while ((link = BLI_pophead(camera_paths))) { - GPUBatch *camera_path = link->data; - GPU_batch_discard(camera_path); - MEM_freeN(link); - } + LinkData *link; + while ((link = BLI_pophead(camera_paths))) { + GPUBatch *camera_path = link->data; + GPU_batch_discard(camera_path); + MEM_freeN(link); + } } /** * Draw the stereo 3d support elements (cameras, plane, volume). * They are only visible when not looking through the camera: */ -static void camera_view3d_stereoscopy_display_extra( - OBJECT_ShadingGroupList *sgl, - Scene *scene, ViewLayer *view_layer, View3D *v3d, - Object *ob, Camera *cam, - const float vec[4][3], float drawsize, const float scale[3]) +static void camera_view3d_stereoscopy_display_extra(OBJECT_ShadingGroupList *sgl, + Scene *scene, + ViewLayer *view_layer, + View3D *v3d, + Object *ob, + Camera *cam, + const float vec[4][3], + float drawsize, + const float scale[3]) { - const bool is_select = DRW_state_is_select(); - static float drw_tria_dummy[2][2][2] = {{{0}}}; - const float fac = (cam->stereo.pivot == CAM_S3D_PIVOT_CENTER) ? 2.0f : 1.0f; - float origin[2][3] = {{0}}; - const char *viewnames[2] = {STEREO_LEFT_NAME, STEREO_RIGHT_NAME}; - - const bool is_stereo3d_cameras = (v3d->stereo3d_flag & V3D_S3D_DISPCAMERAS) && (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); - const bool is_stereo3d_plane = (v3d->stereo3d_flag & V3D_S3D_DISPPLANE) && (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); - const bool is_stereo3d_volume = (v3d->stereo3d_flag & V3D_S3D_DISPVOLUME); - - float *color; - DRW_object_wire_theme_get(ob, view_layer, &color); - - for (int eye = 0; eye < 2; eye++) { - float obmat[4][4]; - ob = BKE_camera_multiview_render(scene, ob, viewnames[eye]); - - BKE_camera_multiview_model_matrix_scaled(&scene->r, ob, viewnames[eye], obmat); - - copy_v2_v2(cam->runtime.drw_corners[eye][0], vec[0]); - copy_v2_v2(cam->runtime.drw_corners[eye][1], vec[1]); - copy_v2_v2(cam->runtime.drw_corners[eye][2], vec[2]); - copy_v2_v2(cam->runtime.drw_corners[eye][3], vec[3]); - - cam->runtime.drw_depth[eye] = vec[0][2]; - - if (cam->stereo.convergence_mode == CAM_S3D_OFFAXIS) { - const float shift_x = - ((BKE_camera_multiview_shift_x(&scene->r, ob, viewnames[eye]) - cam->shiftx) * - (drawsize * scale[0] * fac)); - - for (int i = 0; i < 4; i++) { - cam->runtime.drw_corners[eye][i][0] += shift_x; - } - } - - /* Dummy triangle, draw on top of existent lines so it is invisible. */ - copy_v2_v2(drw_tria_dummy[eye][0], cam->runtime.drw_corners[eye][0]); - copy_v2_v2(drw_tria_dummy[eye][1], cam->runtime.drw_corners[eye][0]); - - if (is_stereo3d_cameras) { - DRW_shgroup_call_dynamic_add( - sgl->camera_frame, color, cam->runtime.drw_corners[eye], - &cam->runtime.drw_depth[eye], cam->runtime.drw_tria, obmat); - - DRW_shgroup_call_dynamic_add( - sgl->camera, color, cam->runtime.drw_corners[eye], - &cam->runtime.drw_depth[eye], drw_tria_dummy[eye], obmat); - } - - /* Connecting line. */ - mul_m4_v3(obmat, origin[eye]); - } - - /* Draw connecting lines. */ - if (is_stereo3d_cameras) { - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, origin[0]); - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, origin[1]); - } - - /* Draw convergence plane. */ - if (is_stereo3d_plane && !is_select) { - float convergence_plane[4][2]; - const float offset = cam->stereo.convergence_distance / cam->runtime.drw_depth[0]; - - for (int i = 0; i < 4; i++) { - mid_v2_v2v2(convergence_plane[i], cam->runtime.drw_corners[0][i], cam->runtime.drw_corners[1][i]); - mul_v2_fl(convergence_plane[i], offset); - } - - /* We are using a -1,1 quad for this shading group, so we need to - * scale and transform it to match the convergence plane border. */ - static float one = 1.0f; - float plane_mat[4][4], scale_mat[4][4]; - float scale_factor[3] = {1.0f, 1.0f, 1.0f}; - float color_plane[2][4] = {{0.0f, 0.0f, 0.0f, v3d->stereo3d_convergence_alpha}, - {0.0f, 0.0f, 0.0f, 1.0f}}; - - const float height = convergence_plane[1][1] - convergence_plane[0][1]; - const float width = convergence_plane[2][0] - convergence_plane[0][0]; - - scale_factor[0] = width * 0.5f; - scale_factor[1] = height * 0.5f; - - copy_m4_m4(plane_mat, cam->runtime.drw_normalmat); - translate_m4(plane_mat, 0.0f, 0.0f, -cam->stereo.convergence_distance); - size_to_mat4(scale_mat, scale_factor); - mul_m4_m4_post(plane_mat, scale_mat); - translate_m4(plane_mat, 2.0f * cam->shiftx, (width / height) * 2.0f * cam->shifty, 0.0f); - - if (v3d->stereo3d_convergence_alpha > 0.0f) { - DRW_shgroup_call_dynamic_add(sgl->camera_stereo_plane, color_plane[0], &one, plane_mat); - } - DRW_shgroup_call_dynamic_add(sgl->camera_stereo_plane_wires, color_plane[1], &one, plane_mat); - } - - /* Draw convergence volume. */ - if (is_stereo3d_volume && !is_select) { - static float one = 1.0f; - float color_volume[3][4] = {{0.0f, 1.0f, 1.0f, v3d->stereo3d_volume_alpha}, - {1.0f, 0.0f, 0.0f, v3d->stereo3d_volume_alpha}, - {0.0f, 0.0f, 0.0f, 1.0f}}; - - for (int eye = 0; eye < 2; eye++) { - float winmat[4][4], viewinv[4][4], viewmat[4][4], persmat[4][4], persinv[4][4]; - ob = BKE_camera_multiview_render(scene, ob, viewnames[eye]); - - BKE_camera_multiview_window_matrix(&scene->r, ob, viewnames[eye], winmat); - BKE_camera_multiview_model_matrix(&scene->r, ob, viewnames[eye], viewinv); - - invert_m4_m4(viewmat, viewinv); - mul_m4_m4m4(persmat, winmat, viewmat); - invert_m4_m4(persinv, persmat); - - if (v3d->stereo3d_volume_alpha > 0.0f) { - DRW_shgroup_call_dynamic_add(sgl->camera_stereo_volume, color_volume[eye], &one, persinv); - } - DRW_shgroup_call_dynamic_add(sgl->camera_stereo_volume_wires, color_volume[2], &one, persinv); - } - } + const bool is_select = DRW_state_is_select(); + static float drw_tria_dummy[2][2][2] = {{{0}}}; + const float fac = (cam->stereo.pivot == CAM_S3D_PIVOT_CENTER) ? 2.0f : 1.0f; + float origin[2][3] = {{0}}; + const char *viewnames[2] = {STEREO_LEFT_NAME, STEREO_RIGHT_NAME}; + + const bool is_stereo3d_cameras = (v3d->stereo3d_flag & V3D_S3D_DISPCAMERAS) && + (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); + const bool is_stereo3d_plane = (v3d->stereo3d_flag & V3D_S3D_DISPPLANE) && + (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); + const bool is_stereo3d_volume = (v3d->stereo3d_flag & V3D_S3D_DISPVOLUME); + + float *color; + DRW_object_wire_theme_get(ob, view_layer, &color); + + for (int eye = 0; eye < 2; eye++) { + float obmat[4][4]; + ob = BKE_camera_multiview_render(scene, ob, viewnames[eye]); + + BKE_camera_multiview_model_matrix_scaled(&scene->r, ob, viewnames[eye], obmat); + + copy_v2_v2(cam->runtime.drw_corners[eye][0], vec[0]); + copy_v2_v2(cam->runtime.drw_corners[eye][1], vec[1]); + copy_v2_v2(cam->runtime.drw_corners[eye][2], vec[2]); + copy_v2_v2(cam->runtime.drw_corners[eye][3], vec[3]); + + cam->runtime.drw_depth[eye] = vec[0][2]; + + if (cam->stereo.convergence_mode == CAM_S3D_OFFAXIS) { + const float shift_x = ((BKE_camera_multiview_shift_x(&scene->r, ob, viewnames[eye]) - + cam->shiftx) * + (drawsize * scale[0] * fac)); + + for (int i = 0; i < 4; i++) { + cam->runtime.drw_corners[eye][i][0] += shift_x; + } + } + + /* Dummy triangle, draw on top of existent lines so it is invisible. */ + copy_v2_v2(drw_tria_dummy[eye][0], cam->runtime.drw_corners[eye][0]); + copy_v2_v2(drw_tria_dummy[eye][1], cam->runtime.drw_corners[eye][0]); + + if (is_stereo3d_cameras) { + DRW_shgroup_call_dynamic_add(sgl->camera_frame, + color, + cam->runtime.drw_corners[eye], + &cam->runtime.drw_depth[eye], + cam->runtime.drw_tria, + obmat); + + DRW_shgroup_call_dynamic_add(sgl->camera, + color, + cam->runtime.drw_corners[eye], + &cam->runtime.drw_depth[eye], + drw_tria_dummy[eye], + obmat); + } + + /* Connecting line. */ + mul_m4_v3(obmat, origin[eye]); + } + + /* Draw connecting lines. */ + if (is_stereo3d_cameras) { + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, origin[0]); + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, origin[1]); + } + + /* Draw convergence plane. */ + if (is_stereo3d_plane && !is_select) { + float convergence_plane[4][2]; + const float offset = cam->stereo.convergence_distance / cam->runtime.drw_depth[0]; + + for (int i = 0; i < 4; i++) { + mid_v2_v2v2( + convergence_plane[i], cam->runtime.drw_corners[0][i], cam->runtime.drw_corners[1][i]); + mul_v2_fl(convergence_plane[i], offset); + } + + /* We are using a -1,1 quad for this shading group, so we need to + * scale and transform it to match the convergence plane border. */ + static float one = 1.0f; + float plane_mat[4][4], scale_mat[4][4]; + float scale_factor[3] = {1.0f, 1.0f, 1.0f}; + float color_plane[2][4] = {{0.0f, 0.0f, 0.0f, v3d->stereo3d_convergence_alpha}, + {0.0f, 0.0f, 0.0f, 1.0f}}; + + const float height = convergence_plane[1][1] - convergence_plane[0][1]; + const float width = convergence_plane[2][0] - convergence_plane[0][0]; + + scale_factor[0] = width * 0.5f; + scale_factor[1] = height * 0.5f; + + copy_m4_m4(plane_mat, cam->runtime.drw_normalmat); + translate_m4(plane_mat, 0.0f, 0.0f, -cam->stereo.convergence_distance); + size_to_mat4(scale_mat, scale_factor); + mul_m4_m4_post(plane_mat, scale_mat); + translate_m4(plane_mat, 2.0f * cam->shiftx, (width / height) * 2.0f * cam->shifty, 0.0f); + + if (v3d->stereo3d_convergence_alpha > 0.0f) { + DRW_shgroup_call_dynamic_add(sgl->camera_stereo_plane, color_plane[0], &one, plane_mat); + } + DRW_shgroup_call_dynamic_add(sgl->camera_stereo_plane_wires, color_plane[1], &one, plane_mat); + } + + /* Draw convergence volume. */ + if (is_stereo3d_volume && !is_select) { + static float one = 1.0f; + float color_volume[3][4] = {{0.0f, 1.0f, 1.0f, v3d->stereo3d_volume_alpha}, + {1.0f, 0.0f, 0.0f, v3d->stereo3d_volume_alpha}, + {0.0f, 0.0f, 0.0f, 1.0f}}; + + for (int eye = 0; eye < 2; eye++) { + float winmat[4][4], viewinv[4][4], viewmat[4][4], persmat[4][4], persinv[4][4]; + ob = BKE_camera_multiview_render(scene, ob, viewnames[eye]); + + BKE_camera_multiview_window_matrix(&scene->r, ob, viewnames[eye], winmat); + BKE_camera_multiview_model_matrix(&scene->r, ob, viewnames[eye], viewinv); + + invert_m4_m4(viewmat, viewinv); + mul_m4_m4m4(persmat, winmat, viewmat); + invert_m4_m4(persinv, persmat); + + if (v3d->stereo3d_volume_alpha > 0.0f) { + DRW_shgroup_call_dynamic_add(sgl->camera_stereo_volume, color_volume[eye], &one, persinv); + } + DRW_shgroup_call_dynamic_add( + sgl->camera_stereo_volume_wires, color_volume[2], &one, persinv); + } + } } -static void camera_view3d_reconstruction( - OBJECT_ShadingGroupList *sgl, - Scene *scene, - View3D *v3d, - const Object *camera_object, - Object *ob, - const float color[4], - const bool is_select) +static void camera_view3d_reconstruction(OBJECT_ShadingGroupList *sgl, + Scene *scene, + View3D *v3d, + const Object *camera_object, + Object *ob, + const float color[4], + const bool is_select) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - Camera *cam = ob->data; - - if ((v3d->flag2 & V3D_SHOW_RECONSTRUCTION) == 0) { - return; - } - - MovieClip *clip = BKE_object_movieclip_get(scene, ob, false); - if (clip == NULL) { - return; - } - - BLI_assert(BLI_listbase_is_empty(&sgl->camera_path)); - const bool is_solid_bundle = (v3d->bundle_drawtype == OB_EMPTY_SPHERE) && - ((v3d->shading.type != OB_SOLID) || !XRAY_FLAG_ENABLED(v3d)); - - MovieTracking *tracking = &clip->tracking; - /* Index must start in 1, to mimic BKE_tracking_track_get_indexed. */ - int track_index = 1; - - uchar text_color_selected[4], text_color_unselected[4]; - float bundle_color_unselected[4], bundle_color_solid[4]; - - UI_GetThemeColor4ubv(TH_SELECT, text_color_selected); - UI_GetThemeColor4ubv(TH_TEXT, text_color_unselected); - UI_GetThemeColor4fv(TH_WIRE, bundle_color_unselected); - UI_GetThemeColor4fv(TH_BUNDLE_SOLID, bundle_color_solid); - - float camera_mat[4][4]; - BKE_tracking_get_camera_object_matrix(scene, ob, camera_mat); - - float bundle_scale_mat[4][4]; - if (is_solid_bundle) { - scale_m4_fl(bundle_scale_mat, v3d->bundle_size); - } - - for (MovieTrackingObject *tracking_object = tracking->objects.first; - tracking_object != NULL; - tracking_object = tracking_object->next) - { - float tracking_object_mat[4][4]; - - if (tracking_object->flag & TRACKING_OBJECT_CAMERA) { - copy_m4_m4(tracking_object_mat, camera_mat); - } - else { - const int framenr = BKE_movieclip_remap_scene_to_clip_frame(clip, DEG_get_ctime(draw_ctx->depsgraph)); - float object_mat[4][4]; - BKE_tracking_camera_get_reconstructed_interpolate(tracking, tracking_object, framenr, object_mat); - - invert_m4(object_mat); - mul_m4_m4m4(tracking_object_mat, cam->runtime.drw_normalmat, object_mat); - } - - ListBase *tracksbase = BKE_tracking_object_get_tracks(tracking, tracking_object); - for (MovieTrackingTrack *track = tracksbase->first; track; track = track->next) { - - if ((track->flag & TRACK_HAS_BUNDLE) == 0) { - continue; - } - - bool is_selected = TRACK_SELECTED(track); - - float bundle_mat[4][4]; - copy_m4_m4(bundle_mat, tracking_object_mat); - translate_m4(bundle_mat, track->bundle_pos[0], track->bundle_pos[1], track->bundle_pos[2]); - - const float *bundle_color; - if (track->flag & TRACK_CUSTOMCOLOR) { - bundle_color = track->color; - } - else if (is_solid_bundle) { - bundle_color = bundle_color_solid; - } - else if (is_selected) { - bundle_color = color; - } - else { - bundle_color = bundle_color_unselected; - } - - if (is_select) { - DRW_select_load_id(camera_object->select_id | (track_index << 16)); - track_index++; - } - - if (is_solid_bundle) { - - if (is_selected) { - DRW_shgroup_empty_ex(sgl, - bundle_mat, - &v3d->bundle_size, - v3d->bundle_drawtype, - color); - } - - float bundle_color_v4[4] = { - bundle_color[0], - bundle_color[1], - bundle_color[2], - 1.0f, - }; - - mul_m4_m4m4(bundle_mat, bundle_mat, bundle_scale_mat); - DRW_shgroup_call_dynamic_add(sgl->sphere_solid, - bundle_mat, - bundle_color_v4); - } - else { - DRW_shgroup_empty_ex(sgl, - bundle_mat, - &v3d->bundle_size, - v3d->bundle_drawtype, - bundle_color); - } - - if ((v3d->flag2 & V3D_SHOW_BUNDLENAME) && !is_select) { - struct DRWTextStore *dt = DRW_text_cache_ensure(); - - DRW_text_cache_add(dt, - bundle_mat[3], - track->name, - strlen(track->name), - 10, 0, - DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, - is_selected ? text_color_selected : text_color_unselected); - } - } - - if ((v3d->flag2 & V3D_SHOW_CAMERAPATH) && (tracking_object->flag & TRACKING_OBJECT_CAMERA) && !is_select) { - MovieTrackingReconstruction *reconstruction; - reconstruction = BKE_tracking_object_get_reconstruction(tracking, tracking_object); - - if (reconstruction->camnr) { - static float camera_path_color[4]; - UI_GetThemeColor4fv(TH_CAMERA_PATH, camera_path_color); - - GPUBatch *geom = batch_camera_path_get(&sgl->camera_path, reconstruction); - GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - DRWShadingGroup *shading_group = DRW_shgroup_create(shader, sgl->non_meshes); - DRW_shgroup_uniform_vec4(shading_group, "color", camera_path_color, 1); - DRW_shgroup_call_add(shading_group, geom, camera_mat); - } - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Camera *cam = ob->data; + + if ((v3d->flag2 & V3D_SHOW_RECONSTRUCTION) == 0) { + return; + } + + MovieClip *clip = BKE_object_movieclip_get(scene, ob, false); + if (clip == NULL) { + return; + } + + BLI_assert(BLI_listbase_is_empty(&sgl->camera_path)); + const bool is_solid_bundle = (v3d->bundle_drawtype == OB_EMPTY_SPHERE) && + ((v3d->shading.type != OB_SOLID) || !XRAY_FLAG_ENABLED(v3d)); + + MovieTracking *tracking = &clip->tracking; + /* Index must start in 1, to mimic BKE_tracking_track_get_indexed. */ + int track_index = 1; + + uchar text_color_selected[4], text_color_unselected[4]; + float bundle_color_unselected[4], bundle_color_solid[4]; + + UI_GetThemeColor4ubv(TH_SELECT, text_color_selected); + UI_GetThemeColor4ubv(TH_TEXT, text_color_unselected); + UI_GetThemeColor4fv(TH_WIRE, bundle_color_unselected); + UI_GetThemeColor4fv(TH_BUNDLE_SOLID, bundle_color_solid); + + float camera_mat[4][4]; + BKE_tracking_get_camera_object_matrix(scene, ob, camera_mat); + + float bundle_scale_mat[4][4]; + if (is_solid_bundle) { + scale_m4_fl(bundle_scale_mat, v3d->bundle_size); + } + + for (MovieTrackingObject *tracking_object = tracking->objects.first; tracking_object != NULL; + tracking_object = tracking_object->next) { + float tracking_object_mat[4][4]; + + if (tracking_object->flag & TRACKING_OBJECT_CAMERA) { + copy_m4_m4(tracking_object_mat, camera_mat); + } + else { + const int framenr = BKE_movieclip_remap_scene_to_clip_frame( + clip, DEG_get_ctime(draw_ctx->depsgraph)); + float object_mat[4][4]; + BKE_tracking_camera_get_reconstructed_interpolate( + tracking, tracking_object, framenr, object_mat); + + invert_m4(object_mat); + mul_m4_m4m4(tracking_object_mat, cam->runtime.drw_normalmat, object_mat); + } + + ListBase *tracksbase = BKE_tracking_object_get_tracks(tracking, tracking_object); + for (MovieTrackingTrack *track = tracksbase->first; track; track = track->next) { + + if ((track->flag & TRACK_HAS_BUNDLE) == 0) { + continue; + } + + bool is_selected = TRACK_SELECTED(track); + + float bundle_mat[4][4]; + copy_m4_m4(bundle_mat, tracking_object_mat); + translate_m4(bundle_mat, track->bundle_pos[0], track->bundle_pos[1], track->bundle_pos[2]); + + const float *bundle_color; + if (track->flag & TRACK_CUSTOMCOLOR) { + bundle_color = track->color; + } + else if (is_solid_bundle) { + bundle_color = bundle_color_solid; + } + else if (is_selected) { + bundle_color = color; + } + else { + bundle_color = bundle_color_unselected; + } + + if (is_select) { + DRW_select_load_id(camera_object->select_id | (track_index << 16)); + track_index++; + } + + if (is_solid_bundle) { + + if (is_selected) { + DRW_shgroup_empty_ex(sgl, bundle_mat, &v3d->bundle_size, v3d->bundle_drawtype, color); + } + + float bundle_color_v4[4] = { + bundle_color[0], + bundle_color[1], + bundle_color[2], + 1.0f, + }; + + mul_m4_m4m4(bundle_mat, bundle_mat, bundle_scale_mat); + DRW_shgroup_call_dynamic_add(sgl->sphere_solid, bundle_mat, bundle_color_v4); + } + else { + DRW_shgroup_empty_ex( + sgl, bundle_mat, &v3d->bundle_size, v3d->bundle_drawtype, bundle_color); + } + + if ((v3d->flag2 & V3D_SHOW_BUNDLENAME) && !is_select) { + struct DRWTextStore *dt = DRW_text_cache_ensure(); + + DRW_text_cache_add(dt, + bundle_mat[3], + track->name, + strlen(track->name), + 10, + 0, + DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, + is_selected ? text_color_selected : text_color_unselected); + } + } + + if ((v3d->flag2 & V3D_SHOW_CAMERAPATH) && (tracking_object->flag & TRACKING_OBJECT_CAMERA) && + !is_select) { + MovieTrackingReconstruction *reconstruction; + reconstruction = BKE_tracking_object_get_reconstruction(tracking, tracking_object); + + if (reconstruction->camnr) { + static float camera_path_color[4]; + UI_GetThemeColor4fv(TH_CAMERA_PATH, camera_path_color); + + GPUBatch *geom = batch_camera_path_get(&sgl->camera_path, reconstruction); + GPUShader *shader = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + DRWShadingGroup *shading_group = DRW_shgroup_create(shader, sgl->non_meshes); + DRW_shgroup_uniform_vec4(shading_group, "color", camera_path_color, 1); + DRW_shgroup_call_add(shading_group, geom, camera_mat); + } + } + } } static void DRW_shgroup_camera(OBJECT_ShadingGroupList *sgl, Object *ob, ViewLayer *view_layer) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - Scene *scene = draw_ctx->scene; - RegionView3D *rv3d = draw_ctx->rv3d; - - Camera *cam = ob->data; - const Object *camera_object = DEG_get_evaluated_object(draw_ctx->depsgraph, v3d->camera); - const bool is_select = DRW_state_is_select(); - const bool is_active = (ob == camera_object); - const bool look_through = (is_active && (rv3d->persp == RV3D_CAMOB)); - - const bool is_multiview = (scene->r.scemode & R_MULTIVIEW) != 0; - const bool is_stereo3d_view = (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); - const bool is_stereo3d_display_extra = is_active && is_multiview && (!look_through) && ((v3d->stereo3d_flag) != 0); - const bool is_stereo3d_cameras = (ob == scene->camera) && - is_multiview && - is_stereo3d_view && - (v3d->stereo3d_flag & V3D_S3D_DISPCAMERAS); - const bool is_selection_camera_stereo = is_select && - look_through && is_multiview && - is_stereo3d_view; - - float *color; - DRW_object_wire_theme_get(ob, view_layer, &color); - - float vec[4][3], asp[2], shift[2], scale[3], drawsize; - - /* BKE_camera_multiview_model_matrix already accounts for scale, don't do it here. */ - if (is_selection_camera_stereo) { - scale[0] = 1.0f; - scale[1] = 1.0f; - scale[2] = 1.0f; - } - else { - scale[0] = 1.0f / len_v3(ob->obmat[0]); - scale[1] = 1.0f / len_v3(ob->obmat[1]); - scale[2] = 1.0f / len_v3(ob->obmat[2]); - } - - BKE_camera_view_frame_ex(scene, cam, cam->drawsize, look_through, scale, - asp, shift, &drawsize, vec); - - /* Frame coords */ - copy_v2_v2(cam->runtime.drw_corners[0][0], vec[0]); - copy_v2_v2(cam->runtime.drw_corners[0][1], vec[1]); - copy_v2_v2(cam->runtime.drw_corners[0][2], vec[2]); - copy_v2_v2(cam->runtime.drw_corners[0][3], vec[3]); - - /* depth */ - cam->runtime.drw_depth[0] = vec[0][2]; - - /* tria */ - cam->runtime.drw_tria[0][0] = shift[0] + ((0.7f * drawsize) * scale[0]); - cam->runtime.drw_tria[0][1] = shift[1] + ((drawsize * (asp[1] + 0.1f)) * scale[1]); - cam->runtime.drw_tria[1][0] = shift[0]; - cam->runtime.drw_tria[1][1] = shift[1] + ((1.1f * drawsize * (asp[1] + 0.7f)) * scale[1]); - - if (look_through) { - /* Only draw the frame. */ - float mat[4][4]; - if (is_multiview) { - const bool is_left = v3d->multiview_eye == STEREO_LEFT_ID; - const char *view_name = is_left ? STEREO_LEFT_NAME : STEREO_RIGHT_NAME; - BKE_camera_multiview_model_matrix(&scene->r, ob, view_name, mat); - const float shiftx = BKE_camera_multiview_shift_x(&scene->r, ob, view_name); - const float delta_shiftx = shiftx - cam->shiftx; - const float width = cam->runtime.drw_corners[0][2][0] - cam->runtime.drw_corners[0][0][0]; - for (int i = 0; i < 4; i++) { - cam->runtime.drw_corners[0][i][0] -= delta_shiftx * width; - } - } - else { - copy_m4_m4(mat, ob->obmat); - } - - DRW_shgroup_call_dynamic_add( - sgl->camera_frame, color, cam->runtime.drw_corners[0], - &cam->runtime.drw_depth[0], cam->runtime.drw_tria, mat); - } - else { - if (!is_stereo3d_cameras) { - DRW_shgroup_call_dynamic_add( - sgl->camera, color, cam->runtime.drw_corners[0], - &cam->runtime.drw_depth[0], cam->runtime.drw_tria, ob->obmat); - } - - /* Active cam */ - if (is_active) { - DRW_shgroup_call_dynamic_add( - sgl->camera_tria, color, - cam->runtime.drw_corners[0], &cam->runtime.drw_depth[0], cam->runtime.drw_tria, ob->obmat); - } - } - - /* draw the rest in normalize object space */ - normalize_m4_m4(cam->runtime.drw_normalmat, ob->obmat); - - if (cam->flag & CAM_SHOWLIMITS) { - static float col[4] = {0.5f, 0.5f, 0.25f, 1.0f}, col_hi[4] = {1.0f, 1.0f, 0.5f, 1.0f}; - float sizemat[4][4], size[3] = {1.0f, 1.0f, 0.0f}; - float focusdist = BKE_camera_object_dof_distance(ob); - - copy_m4_m4(cam->runtime.drw_focusmat, cam->runtime.drw_normalmat); - translate_m4(cam->runtime.drw_focusmat, 0.0f, 0.0f, -focusdist); - size_to_mat4(sizemat, size); - mul_m4_m4m4(cam->runtime.drw_focusmat, cam->runtime.drw_focusmat, sizemat); - - DRW_shgroup_call_dynamic_add( - sgl->camera_focus, (is_active ? col_hi : col), - &cam->drawsize, cam->runtime.drw_focusmat); - - DRW_shgroup_call_dynamic_add( - sgl->camera_clip, color, - &cam->clip_start, &cam->clip_end, cam->runtime.drw_normalmat); - DRW_shgroup_call_dynamic_add( - sgl->camera_clip_points, (is_active ? col_hi : col), - &cam->clip_start, &cam->clip_end, cam->runtime.drw_normalmat); - } - - if (cam->flag & CAM_SHOWMIST) { - World *world = scene->world; - - if (world) { - static float col[4] = {0.5f, 0.5f, 0.5f, 1.0f}, col_hi[4] = {1.0f, 1.0f, 1.0f, 1.0f}; - world->mistend = world->miststa + world->mistdist; - DRW_shgroup_call_dynamic_add( - sgl->camera_mist, color, - &world->miststa, &world->mistend, cam->runtime.drw_normalmat); - DRW_shgroup_call_dynamic_add( - sgl->camera_mist_points, (is_active ? col_hi : col), - &world->miststa, &world->mistend, cam->runtime.drw_normalmat); - } - } - - /* Stereo cameras, volumes, plane drawing. */ - if (is_stereo3d_display_extra) { - camera_view3d_stereoscopy_display_extra(sgl, scene, view_layer, v3d, ob, cam, vec, drawsize, scale); - } - - /* Motion Tracking. */ - camera_view3d_reconstruction(sgl, scene, v3d, camera_object, ob, color, is_select); + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + Scene *scene = draw_ctx->scene; + RegionView3D *rv3d = draw_ctx->rv3d; + + Camera *cam = ob->data; + const Object *camera_object = DEG_get_evaluated_object(draw_ctx->depsgraph, v3d->camera); + const bool is_select = DRW_state_is_select(); + const bool is_active = (ob == camera_object); + const bool look_through = (is_active && (rv3d->persp == RV3D_CAMOB)); + + const bool is_multiview = (scene->r.scemode & R_MULTIVIEW) != 0; + const bool is_stereo3d_view = (scene->r.views_format == SCE_VIEWS_FORMAT_STEREO_3D); + const bool is_stereo3d_display_extra = is_active && is_multiview && (!look_through) && + ((v3d->stereo3d_flag) != 0); + const bool is_stereo3d_cameras = (ob == scene->camera) && is_multiview && is_stereo3d_view && + (v3d->stereo3d_flag & V3D_S3D_DISPCAMERAS); + const bool is_selection_camera_stereo = is_select && look_through && is_multiview && + is_stereo3d_view; + + float *color; + DRW_object_wire_theme_get(ob, view_layer, &color); + + float vec[4][3], asp[2], shift[2], scale[3], drawsize; + + /* BKE_camera_multiview_model_matrix already accounts for scale, don't do it here. */ + if (is_selection_camera_stereo) { + scale[0] = 1.0f; + scale[1] = 1.0f; + scale[2] = 1.0f; + } + else { + scale[0] = 1.0f / len_v3(ob->obmat[0]); + scale[1] = 1.0f / len_v3(ob->obmat[1]); + scale[2] = 1.0f / len_v3(ob->obmat[2]); + } + + BKE_camera_view_frame_ex( + scene, cam, cam->drawsize, look_through, scale, asp, shift, &drawsize, vec); + + /* Frame coords */ + copy_v2_v2(cam->runtime.drw_corners[0][0], vec[0]); + copy_v2_v2(cam->runtime.drw_corners[0][1], vec[1]); + copy_v2_v2(cam->runtime.drw_corners[0][2], vec[2]); + copy_v2_v2(cam->runtime.drw_corners[0][3], vec[3]); + + /* depth */ + cam->runtime.drw_depth[0] = vec[0][2]; + + /* tria */ + cam->runtime.drw_tria[0][0] = shift[0] + ((0.7f * drawsize) * scale[0]); + cam->runtime.drw_tria[0][1] = shift[1] + ((drawsize * (asp[1] + 0.1f)) * scale[1]); + cam->runtime.drw_tria[1][0] = shift[0]; + cam->runtime.drw_tria[1][1] = shift[1] + ((1.1f * drawsize * (asp[1] + 0.7f)) * scale[1]); + + if (look_through) { + /* Only draw the frame. */ + float mat[4][4]; + if (is_multiview) { + const bool is_left = v3d->multiview_eye == STEREO_LEFT_ID; + const char *view_name = is_left ? STEREO_LEFT_NAME : STEREO_RIGHT_NAME; + BKE_camera_multiview_model_matrix(&scene->r, ob, view_name, mat); + const float shiftx = BKE_camera_multiview_shift_x(&scene->r, ob, view_name); + const float delta_shiftx = shiftx - cam->shiftx; + const float width = cam->runtime.drw_corners[0][2][0] - cam->runtime.drw_corners[0][0][0]; + for (int i = 0; i < 4; i++) { + cam->runtime.drw_corners[0][i][0] -= delta_shiftx * width; + } + } + else { + copy_m4_m4(mat, ob->obmat); + } + + DRW_shgroup_call_dynamic_add(sgl->camera_frame, + color, + cam->runtime.drw_corners[0], + &cam->runtime.drw_depth[0], + cam->runtime.drw_tria, + mat); + } + else { + if (!is_stereo3d_cameras) { + DRW_shgroup_call_dynamic_add(sgl->camera, + color, + cam->runtime.drw_corners[0], + &cam->runtime.drw_depth[0], + cam->runtime.drw_tria, + ob->obmat); + } + + /* Active cam */ + if (is_active) { + DRW_shgroup_call_dynamic_add(sgl->camera_tria, + color, + cam->runtime.drw_corners[0], + &cam->runtime.drw_depth[0], + cam->runtime.drw_tria, + ob->obmat); + } + } + + /* draw the rest in normalize object space */ + normalize_m4_m4(cam->runtime.drw_normalmat, ob->obmat); + + if (cam->flag & CAM_SHOWLIMITS) { + static float col[4] = {0.5f, 0.5f, 0.25f, 1.0f}, col_hi[4] = {1.0f, 1.0f, 0.5f, 1.0f}; + float sizemat[4][4], size[3] = {1.0f, 1.0f, 0.0f}; + float focusdist = BKE_camera_object_dof_distance(ob); + + copy_m4_m4(cam->runtime.drw_focusmat, cam->runtime.drw_normalmat); + translate_m4(cam->runtime.drw_focusmat, 0.0f, 0.0f, -focusdist); + size_to_mat4(sizemat, size); + mul_m4_m4m4(cam->runtime.drw_focusmat, cam->runtime.drw_focusmat, sizemat); + + DRW_shgroup_call_dynamic_add( + sgl->camera_focus, (is_active ? col_hi : col), &cam->drawsize, cam->runtime.drw_focusmat); + + DRW_shgroup_call_dynamic_add( + sgl->camera_clip, color, &cam->clip_start, &cam->clip_end, cam->runtime.drw_normalmat); + DRW_shgroup_call_dynamic_add(sgl->camera_clip_points, + (is_active ? col_hi : col), + &cam->clip_start, + &cam->clip_end, + cam->runtime.drw_normalmat); + } + + if (cam->flag & CAM_SHOWMIST) { + World *world = scene->world; + + if (world) { + static float col[4] = {0.5f, 0.5f, 0.5f, 1.0f}, col_hi[4] = {1.0f, 1.0f, 1.0f, 1.0f}; + world->mistend = world->miststa + world->mistdist; + DRW_shgroup_call_dynamic_add( + sgl->camera_mist, color, &world->miststa, &world->mistend, cam->runtime.drw_normalmat); + DRW_shgroup_call_dynamic_add(sgl->camera_mist_points, + (is_active ? col_hi : col), + &world->miststa, + &world->mistend, + cam->runtime.drw_normalmat); + } + } + + /* Stereo cameras, volumes, plane drawing. */ + if (is_stereo3d_display_extra) { + camera_view3d_stereoscopy_display_extra( + sgl, scene, view_layer, v3d, ob, cam, vec, drawsize, scale); + } + + /* Motion Tracking. */ + camera_view3d_reconstruction(sgl, scene, v3d, camera_object, ob, color, is_select); } -static void DRW_shgroup_empty_ex( - OBJECT_ShadingGroupList *sgl, const float mat[4][4], const float *draw_size, char draw_type, const float color[4]) +static void DRW_shgroup_empty_ex(OBJECT_ShadingGroupList *sgl, + const float mat[4][4], + const float *draw_size, + char draw_type, + const float color[4]) { - switch (draw_type) { - case OB_PLAINAXES: - DRW_shgroup_call_dynamic_add(sgl->plain_axes, color, draw_size, mat); - break; - case OB_SINGLE_ARROW: - DRW_shgroup_call_dynamic_add(sgl->single_arrow, color, draw_size, mat); - DRW_shgroup_call_dynamic_add(sgl->single_arrow_line, color, draw_size, mat); - break; - case OB_CUBE: - DRW_shgroup_call_dynamic_add(sgl->cube, color, draw_size, mat); - break; - case OB_CIRCLE: - DRW_shgroup_call_dynamic_add(sgl->circle, color, draw_size, mat); - break; - case OB_EMPTY_SPHERE: - DRW_shgroup_call_dynamic_add(sgl->sphere, color, draw_size, mat); - break; - case OB_EMPTY_CONE: - DRW_shgroup_call_dynamic_add(sgl->cone, color, draw_size, mat); - break; - case OB_ARROWS: - DRW_shgroup_call_dynamic_add(sgl->empty_axes, color, draw_size, mat); - break; - case OB_EMPTY_IMAGE: - BLI_assert(!"Should never happen, use DRW_shgroup_empty instead."); - break; - } + switch (draw_type) { + case OB_PLAINAXES: + DRW_shgroup_call_dynamic_add(sgl->plain_axes, color, draw_size, mat); + break; + case OB_SINGLE_ARROW: + DRW_shgroup_call_dynamic_add(sgl->single_arrow, color, draw_size, mat); + DRW_shgroup_call_dynamic_add(sgl->single_arrow_line, color, draw_size, mat); + break; + case OB_CUBE: + DRW_shgroup_call_dynamic_add(sgl->cube, color, draw_size, mat); + break; + case OB_CIRCLE: + DRW_shgroup_call_dynamic_add(sgl->circle, color, draw_size, mat); + break; + case OB_EMPTY_SPHERE: + DRW_shgroup_call_dynamic_add(sgl->sphere, color, draw_size, mat); + break; + case OB_EMPTY_CONE: + DRW_shgroup_call_dynamic_add(sgl->cone, color, draw_size, mat); + break; + case OB_ARROWS: + DRW_shgroup_call_dynamic_add(sgl->empty_axes, color, draw_size, mat); + break; + case OB_EMPTY_IMAGE: + BLI_assert(!"Should never happen, use DRW_shgroup_empty instead."); + break; + } } -static void DRW_shgroup_empty( - OBJECT_Shaders *sh_data, OBJECT_ShadingGroupList *sgl, - Object *ob, ViewLayer *view_layer, RegionView3D *rv3d, eGPUShaderConfig sh_cfg) +static void DRW_shgroup_empty(OBJECT_Shaders *sh_data, + OBJECT_ShadingGroupList *sgl, + Object *ob, + ViewLayer *view_layer, + RegionView3D *rv3d, + eGPUShaderConfig sh_cfg) { - float *color; - DRW_object_wire_theme_get(ob, view_layer, &color); - - switch (ob->empty_drawtype) { - case OB_PLAINAXES: - case OB_SINGLE_ARROW: - case OB_CUBE: - case OB_CIRCLE: - case OB_EMPTY_SPHERE: - case OB_EMPTY_CONE: - case OB_ARROWS: - DRW_shgroup_empty_ex(sgl, ob->obmat, &ob->empty_drawsize, ob->empty_drawtype, color); - break; - case OB_EMPTY_IMAGE: - DRW_shgroup_empty_image(sh_data, sgl, ob, color, rv3d, sh_cfg); - break; - } + float *color; + DRW_object_wire_theme_get(ob, view_layer, &color); + + switch (ob->empty_drawtype) { + case OB_PLAINAXES: + case OB_SINGLE_ARROW: + case OB_CUBE: + case OB_CIRCLE: + case OB_EMPTY_SPHERE: + case OB_EMPTY_CONE: + case OB_ARROWS: + DRW_shgroup_empty_ex(sgl, ob->obmat, &ob->empty_drawsize, ob->empty_drawtype, color); + break; + case OB_EMPTY_IMAGE: + DRW_shgroup_empty_image(sh_data, sgl, ob, color, rv3d, sh_cfg); + break; + } } static void DRW_shgroup_forcefield(OBJECT_ShadingGroupList *sgl, Object *ob, ViewLayer *view_layer) { - int theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - float *color = DRW_color_background_blend_get(theme_id); - PartDeflect *pd = ob->pd; - Curve *cu = (ob->type == OB_CURVE) ? ob->data : NULL; - - /* TODO Move this to depsgraph */ - float tmp[3]; - copy_v3_fl(pd->drawvec1, ob->empty_drawsize); - - switch (pd->forcefield) { - case PFIELD_WIND: - pd->drawvec1[2] = pd->f_strength; - break; - case PFIELD_VORTEX: - if (pd->f_strength < 0.0f) { - pd->drawvec1[1] = -pd->drawvec1[1]; - } - break; - case PFIELD_GUIDE: - if (cu && (cu->flag & CU_PATH) && ob->runtime.curve_cache->path && ob->runtime.curve_cache->path->data) { - where_on_path(ob, 0.0f, pd->drawvec1, tmp, NULL, NULL, NULL); - where_on_path(ob, 1.0f, pd->drawvec2, tmp, NULL, NULL, NULL); - } - break; - } - - if (pd->falloff == PFIELD_FALL_TUBE) { - pd->drawvec_falloff_max[0] = pd->drawvec_falloff_max[1] = (pd->flag & PFIELD_USEMAXR) ? pd->maxrad : 1.0f; - pd->drawvec_falloff_max[2] = (pd->flag & PFIELD_USEMAX) ? pd->maxdist : 0.0f; - - pd->drawvec_falloff_min[0] = pd->drawvec_falloff_min[1] = (pd->flag & PFIELD_USEMINR) ? pd->minrad : 1.0f; - pd->drawvec_falloff_min[2] = (pd->flag & PFIELD_USEMIN) ? pd->mindist : 0.0f; - } - else if (pd->falloff == PFIELD_FALL_CONE) { - float radius, distance; - - radius = DEG2RADF((pd->flag & PFIELD_USEMAXR) ? pd->maxrad : 1.0f); - distance = (pd->flag & PFIELD_USEMAX) ? pd->maxdist : 0.0f; - pd->drawvec_falloff_max[0] = pd->drawvec_falloff_max[1] = distance * sinf(radius); - pd->drawvec_falloff_max[2] = distance * cosf(radius); - - radius = DEG2RADF((pd->flag & PFIELD_USEMINR) ? pd->minrad : 1.0f); - distance = (pd->flag & PFIELD_USEMIN) ? pd->mindist : 0.0f; - - pd->drawvec_falloff_min[0] = pd->drawvec_falloff_min[1] = distance * sinf(radius); - pd->drawvec_falloff_min[2] = distance * cosf(radius); - } - /* End of things that should go to depthgraph */ - - switch (pd->forcefield) { - case PFIELD_WIND: - DRW_shgroup_call_dynamic_add(sgl->field_wind, color, &pd->drawvec1, ob->obmat); - break; - case PFIELD_FORCE: - DRW_shgroup_call_dynamic_add(sgl->field_force, color, &pd->drawvec1, ob->obmat); - break; - case PFIELD_VORTEX: - DRW_shgroup_call_dynamic_add(sgl->field_vortex, color, &pd->drawvec1, ob->obmat); - break; - case PFIELD_GUIDE: - if (cu && (cu->flag & CU_PATH) && ob->runtime.curve_cache->path && ob->runtime.curve_cache->path->data) { - DRW_shgroup_call_dynamic_add(sgl->field_curve_sta, color, &pd->f_strength, ob->obmat); - DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->f_strength, ob->obmat); - } - break; - } - - if (pd->falloff == PFIELD_FALL_SPHERE) { - /* as last, guide curve alters it */ - if ((pd->flag & PFIELD_USEMAX) != 0) { - DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->maxdist, ob->obmat); - } - - if ((pd->flag & PFIELD_USEMIN) != 0) { - DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->mindist, ob->obmat); - } - } - else if (pd->falloff == PFIELD_FALL_TUBE) { - if (pd->flag & (PFIELD_USEMAX | PFIELD_USEMAXR)) { - DRW_shgroup_call_dynamic_add(sgl->field_tube_limit, color, &pd->drawvec_falloff_max, ob->obmat); - } - - if (pd->flag & (PFIELD_USEMIN | PFIELD_USEMINR)) { - DRW_shgroup_call_dynamic_add(sgl->field_tube_limit, color, &pd->drawvec_falloff_min, ob->obmat); - } - } - else if (pd->falloff == PFIELD_FALL_CONE) { - if (pd->flag & (PFIELD_USEMAX | PFIELD_USEMAXR)) { - DRW_shgroup_call_dynamic_add(sgl->field_cone_limit, color, &pd->drawvec_falloff_max, ob->obmat); - } - - if (pd->flag & (PFIELD_USEMIN | PFIELD_USEMINR)) { - DRW_shgroup_call_dynamic_add(sgl->field_cone_limit, color, &pd->drawvec_falloff_min, ob->obmat); - } - } + int theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + float *color = DRW_color_background_blend_get(theme_id); + PartDeflect *pd = ob->pd; + Curve *cu = (ob->type == OB_CURVE) ? ob->data : NULL; + + /* TODO Move this to depsgraph */ + float tmp[3]; + copy_v3_fl(pd->drawvec1, ob->empty_drawsize); + + switch (pd->forcefield) { + case PFIELD_WIND: + pd->drawvec1[2] = pd->f_strength; + break; + case PFIELD_VORTEX: + if (pd->f_strength < 0.0f) { + pd->drawvec1[1] = -pd->drawvec1[1]; + } + break; + case PFIELD_GUIDE: + if (cu && (cu->flag & CU_PATH) && ob->runtime.curve_cache->path && + ob->runtime.curve_cache->path->data) { + where_on_path(ob, 0.0f, pd->drawvec1, tmp, NULL, NULL, NULL); + where_on_path(ob, 1.0f, pd->drawvec2, tmp, NULL, NULL, NULL); + } + break; + } + + if (pd->falloff == PFIELD_FALL_TUBE) { + pd->drawvec_falloff_max[0] = pd->drawvec_falloff_max[1] = (pd->flag & PFIELD_USEMAXR) ? + pd->maxrad : + 1.0f; + pd->drawvec_falloff_max[2] = (pd->flag & PFIELD_USEMAX) ? pd->maxdist : 0.0f; + + pd->drawvec_falloff_min[0] = pd->drawvec_falloff_min[1] = (pd->flag & PFIELD_USEMINR) ? + pd->minrad : + 1.0f; + pd->drawvec_falloff_min[2] = (pd->flag & PFIELD_USEMIN) ? pd->mindist : 0.0f; + } + else if (pd->falloff == PFIELD_FALL_CONE) { + float radius, distance; + + radius = DEG2RADF((pd->flag & PFIELD_USEMAXR) ? pd->maxrad : 1.0f); + distance = (pd->flag & PFIELD_USEMAX) ? pd->maxdist : 0.0f; + pd->drawvec_falloff_max[0] = pd->drawvec_falloff_max[1] = distance * sinf(radius); + pd->drawvec_falloff_max[2] = distance * cosf(radius); + + radius = DEG2RADF((pd->flag & PFIELD_USEMINR) ? pd->minrad : 1.0f); + distance = (pd->flag & PFIELD_USEMIN) ? pd->mindist : 0.0f; + + pd->drawvec_falloff_min[0] = pd->drawvec_falloff_min[1] = distance * sinf(radius); + pd->drawvec_falloff_min[2] = distance * cosf(radius); + } + /* End of things that should go to depthgraph */ + + switch (pd->forcefield) { + case PFIELD_WIND: + DRW_shgroup_call_dynamic_add(sgl->field_wind, color, &pd->drawvec1, ob->obmat); + break; + case PFIELD_FORCE: + DRW_shgroup_call_dynamic_add(sgl->field_force, color, &pd->drawvec1, ob->obmat); + break; + case PFIELD_VORTEX: + DRW_shgroup_call_dynamic_add(sgl->field_vortex, color, &pd->drawvec1, ob->obmat); + break; + case PFIELD_GUIDE: + if (cu && (cu->flag & CU_PATH) && ob->runtime.curve_cache->path && + ob->runtime.curve_cache->path->data) { + DRW_shgroup_call_dynamic_add(sgl->field_curve_sta, color, &pd->f_strength, ob->obmat); + DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->f_strength, ob->obmat); + } + break; + } + + if (pd->falloff == PFIELD_FALL_SPHERE) { + /* as last, guide curve alters it */ + if ((pd->flag & PFIELD_USEMAX) != 0) { + DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->maxdist, ob->obmat); + } + + if ((pd->flag & PFIELD_USEMIN) != 0) { + DRW_shgroup_call_dynamic_add(sgl->field_curve_end, color, &pd->mindist, ob->obmat); + } + } + else if (pd->falloff == PFIELD_FALL_TUBE) { + if (pd->flag & (PFIELD_USEMAX | PFIELD_USEMAXR)) { + DRW_shgroup_call_dynamic_add( + sgl->field_tube_limit, color, &pd->drawvec_falloff_max, ob->obmat); + } + + if (pd->flag & (PFIELD_USEMIN | PFIELD_USEMINR)) { + DRW_shgroup_call_dynamic_add( + sgl->field_tube_limit, color, &pd->drawvec_falloff_min, ob->obmat); + } + } + else if (pd->falloff == PFIELD_FALL_CONE) { + if (pd->flag & (PFIELD_USEMAX | PFIELD_USEMAXR)) { + DRW_shgroup_call_dynamic_add( + sgl->field_cone_limit, color, &pd->drawvec_falloff_max, ob->obmat); + } + + if (pd->flag & (PFIELD_USEMIN | PFIELD_USEMINR)) { + DRW_shgroup_call_dynamic_add( + sgl->field_cone_limit, color, &pd->drawvec_falloff_min, ob->obmat); + } + } } -static void DRW_shgroup_volume_extra( - OBJECT_ShadingGroupList *sgl, - Object *ob, ViewLayer *view_layer, Scene *scene, ModifierData *md) +static void DRW_shgroup_volume_extra(OBJECT_ShadingGroupList *sgl, + Object *ob, + ViewLayer *view_layer, + Scene *scene, + ModifierData *md) { - SmokeModifierData *smd = (SmokeModifierData *)md; - SmokeDomainSettings *sds = smd->domain; - float *color; - float one = 1.0f; - - if (sds == NULL) { - return; - } - - DRW_object_wire_theme_get(ob, view_layer, &color); - - /* Small cube showing voxel size. */ - float voxel_cubemat[4][4] = {{0.0f}}; - voxel_cubemat[0][0] = 1.0f / (float)sds->res[0]; - voxel_cubemat[1][1] = 1.0f / (float)sds->res[1]; - voxel_cubemat[2][2] = 1.0f / (float)sds->res[2]; - voxel_cubemat[3][0] = voxel_cubemat[3][1] = voxel_cubemat[3][2] = -1.0f; - voxel_cubemat[3][3] = 1.0f; - translate_m4(voxel_cubemat, 1.0f, 1.0f, 1.0f); - mul_m4_m4m4(voxel_cubemat, ob->obmat, voxel_cubemat); - - DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, voxel_cubemat); - - /* Don't show smoke before simulation starts, this could be made an option in the future. */ - if (!sds->draw_velocity || !sds->fluid || CFRA < sds->point_cache[0]->startframe) { - return; - } - - const bool use_needle = (sds->vector_draw_type == VECTOR_DRAW_NEEDLE); - int line_count = (use_needle) ? 6 : 1; - int slice_axis = -1; - line_count *= sds->res[0] * sds->res[1] * sds->res[2]; - - if (sds->slice_method == MOD_SMOKE_SLICE_AXIS_ALIGNED && - sds->axis_slice_method == AXIS_SLICE_SINGLE) - { - float invviewmat[4][4]; - DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); - - const int axis = (sds->slice_axis == SLICE_AXIS_AUTO) - ? axis_dominant_v3_single(invviewmat[2]) - : sds->slice_axis - 1; - slice_axis = axis; - line_count /= sds->res[axis]; - } - - GPU_create_smoke_velocity(smd); - - DRWShadingGroup *grp = DRW_shgroup_create(volume_velocity_shader_get(use_needle), sgl->non_meshes); - DRW_shgroup_uniform_texture(grp, "velocityX", sds->tex_velocity_x); - DRW_shgroup_uniform_texture(grp, "velocityY", sds->tex_velocity_y); - DRW_shgroup_uniform_texture(grp, "velocityZ", sds->tex_velocity_z); - DRW_shgroup_uniform_float_copy(grp, "displaySize", sds->vector_scale); - DRW_shgroup_uniform_float_copy(grp, "slicePosition", sds->slice_depth); - DRW_shgroup_uniform_int_copy(grp, "sliceAxis", slice_axis); - DRW_shgroup_call_procedural_lines_add(grp, line_count, ob->obmat); - - BLI_addtail(&e_data.smoke_domains, BLI_genericNodeN(smd)); + SmokeModifierData *smd = (SmokeModifierData *)md; + SmokeDomainSettings *sds = smd->domain; + float *color; + float one = 1.0f; + + if (sds == NULL) { + return; + } + + DRW_object_wire_theme_get(ob, view_layer, &color); + + /* Small cube showing voxel size. */ + float voxel_cubemat[4][4] = {{0.0f}}; + voxel_cubemat[0][0] = 1.0f / (float)sds->res[0]; + voxel_cubemat[1][1] = 1.0f / (float)sds->res[1]; + voxel_cubemat[2][2] = 1.0f / (float)sds->res[2]; + voxel_cubemat[3][0] = voxel_cubemat[3][1] = voxel_cubemat[3][2] = -1.0f; + voxel_cubemat[3][3] = 1.0f; + translate_m4(voxel_cubemat, 1.0f, 1.0f, 1.0f); + mul_m4_m4m4(voxel_cubemat, ob->obmat, voxel_cubemat); + + DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, voxel_cubemat); + + /* Don't show smoke before simulation starts, this could be made an option in the future. */ + if (!sds->draw_velocity || !sds->fluid || CFRA < sds->point_cache[0]->startframe) { + return; + } + + const bool use_needle = (sds->vector_draw_type == VECTOR_DRAW_NEEDLE); + int line_count = (use_needle) ? 6 : 1; + int slice_axis = -1; + line_count *= sds->res[0] * sds->res[1] * sds->res[2]; + + if (sds->slice_method == MOD_SMOKE_SLICE_AXIS_ALIGNED && + sds->axis_slice_method == AXIS_SLICE_SINGLE) { + float invviewmat[4][4]; + DRW_viewport_matrix_get(invviewmat, DRW_MAT_VIEWINV); + + const int axis = (sds->slice_axis == SLICE_AXIS_AUTO) ? + axis_dominant_v3_single(invviewmat[2]) : + sds->slice_axis - 1; + slice_axis = axis; + line_count /= sds->res[axis]; + } + + GPU_create_smoke_velocity(smd); + + DRWShadingGroup *grp = DRW_shgroup_create(volume_velocity_shader_get(use_needle), + sgl->non_meshes); + DRW_shgroup_uniform_texture(grp, "velocityX", sds->tex_velocity_x); + DRW_shgroup_uniform_texture(grp, "velocityY", sds->tex_velocity_y); + DRW_shgroup_uniform_texture(grp, "velocityZ", sds->tex_velocity_z); + DRW_shgroup_uniform_float_copy(grp, "displaySize", sds->vector_scale); + DRW_shgroup_uniform_float_copy(grp, "slicePosition", sds->slice_depth); + DRW_shgroup_uniform_int_copy(grp, "sliceAxis", slice_axis); + DRW_shgroup_call_procedural_lines_add(grp, line_count, ob->obmat); + + BLI_addtail(&e_data.smoke_domains, BLI_genericNodeN(smd)); } static void volumes_free_smoke_textures(void) { - /* Free Smoke Textures after rendering */ - /* XXX This is a waste of processing and GPU bandwidth if nothing - * is updated. But the problem is since Textures are stored in the - * modifier we don't want them to take precious VRAM if the - * modifier is not used for display. We should share them for - * all viewport in a redraw at least. */ - for (LinkData *link = e_data.smoke_domains.first; link; link = link->next) { - SmokeModifierData *smd = (SmokeModifierData *)link->data; - GPU_free_smoke_velocity(smd); - } - BLI_freelistN(&e_data.smoke_domains); + /* Free Smoke Textures after rendering */ + /* XXX This is a waste of processing and GPU bandwidth if nothing + * is updated. But the problem is since Textures are stored in the + * modifier we don't want them to take precious VRAM if the + * modifier is not used for display. We should share them for + * all viewport in a redraw at least. */ + for (LinkData *link = e_data.smoke_domains.first; link; link = link->next) { + SmokeModifierData *smd = (SmokeModifierData *)link->data; + GPU_free_smoke_velocity(smd); + } + BLI_freelistN(&e_data.smoke_domains); } static void DRW_shgroup_speaker(OBJECT_ShadingGroupList *sgl, Object *ob, ViewLayer *view_layer) { - float *color; - static float one = 1.0f; - DRW_object_wire_theme_get(ob, view_layer, &color); + float *color; + static float one = 1.0f; + DRW_object_wire_theme_get(ob, view_layer, &color); - DRW_shgroup_call_dynamic_add(sgl->speaker, color, &one, ob->obmat); + DRW_shgroup_call_dynamic_add(sgl->speaker, color, &one, ob->obmat); } typedef struct OBJECT_LightProbeEngineData { - DrawData dd; + DrawData dd; - float increment_x[3]; - float increment_y[3]; - float increment_z[3]; - float corner[3]; + float increment_x[3]; + float increment_y[3]; + float increment_z[3]; + float corner[3]; } OBJECT_LightProbeEngineData; -static void DRW_shgroup_lightprobe( - OBJECT_Shaders *sh_data, OBJECT_StorageList *stl, OBJECT_PassList *psl, - Object *ob, ViewLayer *view_layer) +static void DRW_shgroup_lightprobe(OBJECT_Shaders *sh_data, + OBJECT_StorageList *stl, + OBJECT_PassList *psl, + Object *ob, + ViewLayer *view_layer) { - float *color; - static float one = 1.0f; - LightProbe *prb = (LightProbe *)ob->data; - bool do_outlines = ((ob->base_flag & BASE_SELECTED) != 0); - int theme_id = DRW_object_wire_theme_get(ob, view_layer, &color); - - OBJECT_ShadingGroupList *sgl = (ob->dtx & OB_DRAWXRAY) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; - - OBJECT_LightProbeEngineData *prb_data = (OBJECT_LightProbeEngineData *)DRW_drawdata_ensure( - &ob->id, - &draw_engine_object_type, - sizeof(OBJECT_LightProbeEngineData), - NULL, - NULL); - - if ((DRW_state_is_select() || do_outlines) && ((prb->flag & LIGHTPROBE_FLAG_SHOW_DATA) != 0)) { - int *call_id = shgroup_theme_id_to_probe_outline_counter(stl, theme_id, ob->base_flag); - - if (prb->type == LIGHTPROBE_TYPE_GRID) { - /* Update transforms */ - float cell_dim[3], half_cell_dim[3]; - cell_dim[0] = 2.0f / (float)(prb->grid_resolution_x); - cell_dim[1] = 2.0f / (float)(prb->grid_resolution_y); - cell_dim[2] = 2.0f / (float)(prb->grid_resolution_z); - - mul_v3_v3fl(half_cell_dim, cell_dim, 0.5f); - - /* First cell. */ - copy_v3_fl(prb_data->corner, -1.0f); - add_v3_v3(prb_data->corner, half_cell_dim); - mul_m4_v3(ob->obmat, prb_data->corner); - - /* Opposite neighbor cell. */ - copy_v3_fl3(prb_data->increment_x, cell_dim[0], 0.0f, 0.0f); - add_v3_v3(prb_data->increment_x, half_cell_dim); - add_v3_fl(prb_data->increment_x, -1.0f); - mul_m4_v3(ob->obmat, prb_data->increment_x); - sub_v3_v3(prb_data->increment_x, prb_data->corner); - - copy_v3_fl3(prb_data->increment_y, 0.0f, cell_dim[1], 0.0f); - add_v3_v3(prb_data->increment_y, half_cell_dim); - add_v3_fl(prb_data->increment_y, -1.0f); - mul_m4_v3(ob->obmat, prb_data->increment_y); - sub_v3_v3(prb_data->increment_y, prb_data->corner); - - copy_v3_fl3(prb_data->increment_z, 0.0f, 0.0f, cell_dim[2]); - add_v3_v3(prb_data->increment_z, half_cell_dim); - add_v3_fl(prb_data->increment_z, -1.0f); - mul_m4_v3(ob->obmat, prb_data->increment_z); - sub_v3_v3(prb_data->increment_z, prb_data->corner); - - uint cell_count = prb->grid_resolution_x * prb->grid_resolution_y * prb->grid_resolution_z; - DRWShadingGroup *grp = DRW_shgroup_create(sh_data->lightprobe_grid, psl->lightprobes); - DRW_shgroup_uniform_int_copy(grp, "call_id", *call_id); - DRW_shgroup_uniform_int(grp, "baseId", call_id, 1); /* that's correct */ - DRW_shgroup_uniform_vec3(grp, "corner", prb_data->corner, 1); - DRW_shgroup_uniform_vec3(grp, "increment_x", prb_data->increment_x, 1); - DRW_shgroup_uniform_vec3(grp, "increment_y", prb_data->increment_y, 1); - DRW_shgroup_uniform_vec3(grp, "increment_z", prb_data->increment_z, 1); - DRW_shgroup_uniform_ivec3(grp, "grid_resolution", &prb->grid_resolution_x, 1); - DRW_shgroup_call_procedural_points_add(grp, cell_count, NULL); - } - else if (prb->type == LIGHTPROBE_TYPE_CUBE) { - float draw_size = 1.0f; - float probe_cube_mat[4][4]; - // prb_data->draw_size = prb->data_draw_size * 0.1f; - // unit_m4(prb_data->probe_cube_mat); - // copy_v3_v3(prb_data->probe_cube_mat[3], ob->obmat[3]); - - DRWShadingGroup *grp = shgroup_theme_id_to_probe_cube_outline_shgrp(stl, theme_id, ob->base_flag); - /* TODO remove or change the drawing of the cube probes. Theses line draws nothing on purpose - * to keep the call ids correct. */ - zero_m4(probe_cube_mat); - DRW_shgroup_call_dynamic_add(grp, call_id, &draw_size, probe_cube_mat); - } - else { - float draw_size = 1.0f; - DRWShadingGroup *grp = shgroup_theme_id_to_probe_planar_outline_shgrp(stl, theme_id); - DRW_shgroup_call_dynamic_add(grp, call_id, &draw_size, ob->obmat); - } - - *call_id += 1; - } - - switch (prb->type) { - case LIGHTPROBE_TYPE_PLANAR: - DRW_shgroup_call_dynamic_add(sgl->probe_planar, ob->obmat[3], color); - break; - case LIGHTPROBE_TYPE_GRID: - DRW_shgroup_call_dynamic_add(sgl->probe_grid, ob->obmat[3], color); - break; - case LIGHTPROBE_TYPE_CUBE: - default: - DRW_shgroup_call_dynamic_add(sgl->probe_cube, ob->obmat[3], color); - break; - } - - - - if (prb->type == LIGHTPROBE_TYPE_PLANAR) { - float mat[4][4]; - copy_m4_m4(mat, ob->obmat); - normalize_m4(mat); - - DRW_shgroup_call_dynamic_add(sgl->single_arrow, color, &ob->empty_drawsize, mat); - DRW_shgroup_call_dynamic_add(sgl->single_arrow_line, color, &ob->empty_drawsize, mat); - - copy_m4_m4(mat, ob->obmat); - zero_v3(mat[2]); - - DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, mat); - } - - if ((prb->flag & LIGHTPROBE_FLAG_SHOW_INFLUENCE) != 0) { - - prb->distfalloff = (1.0f - prb->falloff) * prb->distinf; - prb->distgridinf = prb->distinf; - - if (prb->type == LIGHTPROBE_TYPE_GRID) { - prb->distfalloff += 1.0f; - prb->distgridinf += 1.0f; - } - - if (prb->type == LIGHTPROBE_TYPE_GRID || - prb->attenuation_type == LIGHTPROBE_SHAPE_BOX) - { - DRW_shgroup_call_dynamic_add(sgl->cube, color, &prb->distgridinf, ob->obmat); - DRW_shgroup_call_dynamic_add(sgl->cube, color, &prb->distfalloff, ob->obmat); - } - else if (prb->type == LIGHTPROBE_TYPE_PLANAR) { - float rangemat[4][4]; - copy_m4_m4(rangemat, ob->obmat); - normalize_v3(rangemat[2]); - mul_v3_fl(rangemat[2], prb->distinf); - - DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, rangemat); - - copy_m4_m4(rangemat, ob->obmat); - normalize_v3(rangemat[2]); - mul_v3_fl(rangemat[2], prb->distfalloff); - - DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, rangemat); - } - else { - DRW_shgroup_call_dynamic_add(sgl->sphere, color, &prb->distgridinf, ob->obmat); - DRW_shgroup_call_dynamic_add(sgl->sphere, color, &prb->distfalloff, ob->obmat); - } - } - - if ((prb->flag & LIGHTPROBE_FLAG_SHOW_PARALLAX) != 0) { - if (prb->type != LIGHTPROBE_TYPE_PLANAR) { - float (*obmat)[4], *dist; - - if ((prb->flag & LIGHTPROBE_FLAG_CUSTOM_PARALLAX) != 0) { - dist = &prb->distpar; - /* TODO object parallax */ - obmat = ob->obmat; - } - else { - dist = &prb->distinf; - obmat = ob->obmat; - } - - if (prb->parallax_type == LIGHTPROBE_SHAPE_BOX) { - DRW_shgroup_call_dynamic_add(sgl->cube, color, dist, obmat); - } - else { - DRW_shgroup_call_dynamic_add(sgl->sphere, color, dist, obmat); - } - } - } - - if ((prb->flag & LIGHTPROBE_FLAG_SHOW_CLIP_DIST) != 0) { - if (prb->type != LIGHTPROBE_TYPE_PLANAR) { - static const float cubefacemat[6][4][4] = { - {{0.0, 0.0, -1.0, 0.0}, {0.0, -1.0, 0.0, 0.0}, {-1.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - {{0.0, 0.0, 1.0, 0.0}, {0.0, -1.0, 0.0, 0.0}, {1.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - {{1.0, 0.0, 0.0, 0.0}, {0.0, 0.0, -1.0, 0.0}, {0.0, 1.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - {{1.0, 0.0, 0.0, 0.0}, {0.0, 0.0, 1.0, 0.0}, {0.0, -1.0, 0.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - {{1.0, 0.0, 0.0, 0.0}, {0.0, -1.0, 0.0, 0.0}, {0.0, 0.0, -1.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - {{-1.0, 0.0, 0.0, 0.0}, {0.0, -1.0, 0.0, 0.0}, {0.0, 0.0, 1.0, 0.0}, {0.0, 0.0, 0.0, 1.0}}, - }; - - for (int i = 0; i < 6; ++i) { - float clipmat[4][4]; - normalize_m4_m4(clipmat, ob->obmat); - mul_m4_m4m4(clipmat, clipmat, cubefacemat[i]); - - DRW_shgroup_call_dynamic_add(sgl->light_buflimit, color, &prb->clipsta, &prb->clipend, clipmat); - DRW_shgroup_call_dynamic_add(sgl->light_buflimit_points, color, &prb->clipsta, &prb->clipend, clipmat); - } - } - } - - /* Line and point going to the ground */ - if (prb->type == LIGHTPROBE_TYPE_CUBE) { - DRW_shgroup_call_dynamic_add(sgl->light_groundline, ob->obmat[3]); - DRW_shgroup_call_dynamic_add(sgl->light_groundpoint, ob->obmat[3]); - } + float *color; + static float one = 1.0f; + LightProbe *prb = (LightProbe *)ob->data; + bool do_outlines = ((ob->base_flag & BASE_SELECTED) != 0); + int theme_id = DRW_object_wire_theme_get(ob, view_layer, &color); + + OBJECT_ShadingGroupList *sgl = (ob->dtx & OB_DRAWXRAY) ? &stl->g_data->sgl_ghost : + &stl->g_data->sgl; + + OBJECT_LightProbeEngineData *prb_data = (OBJECT_LightProbeEngineData *)DRW_drawdata_ensure( + &ob->id, &draw_engine_object_type, sizeof(OBJECT_LightProbeEngineData), NULL, NULL); + + if ((DRW_state_is_select() || do_outlines) && ((prb->flag & LIGHTPROBE_FLAG_SHOW_DATA) != 0)) { + int *call_id = shgroup_theme_id_to_probe_outline_counter(stl, theme_id, ob->base_flag); + + if (prb->type == LIGHTPROBE_TYPE_GRID) { + /* Update transforms */ + float cell_dim[3], half_cell_dim[3]; + cell_dim[0] = 2.0f / (float)(prb->grid_resolution_x); + cell_dim[1] = 2.0f / (float)(prb->grid_resolution_y); + cell_dim[2] = 2.0f / (float)(prb->grid_resolution_z); + + mul_v3_v3fl(half_cell_dim, cell_dim, 0.5f); + + /* First cell. */ + copy_v3_fl(prb_data->corner, -1.0f); + add_v3_v3(prb_data->corner, half_cell_dim); + mul_m4_v3(ob->obmat, prb_data->corner); + + /* Opposite neighbor cell. */ + copy_v3_fl3(prb_data->increment_x, cell_dim[0], 0.0f, 0.0f); + add_v3_v3(prb_data->increment_x, half_cell_dim); + add_v3_fl(prb_data->increment_x, -1.0f); + mul_m4_v3(ob->obmat, prb_data->increment_x); + sub_v3_v3(prb_data->increment_x, prb_data->corner); + + copy_v3_fl3(prb_data->increment_y, 0.0f, cell_dim[1], 0.0f); + add_v3_v3(prb_data->increment_y, half_cell_dim); + add_v3_fl(prb_data->increment_y, -1.0f); + mul_m4_v3(ob->obmat, prb_data->increment_y); + sub_v3_v3(prb_data->increment_y, prb_data->corner); + + copy_v3_fl3(prb_data->increment_z, 0.0f, 0.0f, cell_dim[2]); + add_v3_v3(prb_data->increment_z, half_cell_dim); + add_v3_fl(prb_data->increment_z, -1.0f); + mul_m4_v3(ob->obmat, prb_data->increment_z); + sub_v3_v3(prb_data->increment_z, prb_data->corner); + + uint cell_count = prb->grid_resolution_x * prb->grid_resolution_y * prb->grid_resolution_z; + DRWShadingGroup *grp = DRW_shgroup_create(sh_data->lightprobe_grid, psl->lightprobes); + DRW_shgroup_uniform_int_copy(grp, "call_id", *call_id); + DRW_shgroup_uniform_int(grp, "baseId", call_id, 1); /* that's correct */ + DRW_shgroup_uniform_vec3(grp, "corner", prb_data->corner, 1); + DRW_shgroup_uniform_vec3(grp, "increment_x", prb_data->increment_x, 1); + DRW_shgroup_uniform_vec3(grp, "increment_y", prb_data->increment_y, 1); + DRW_shgroup_uniform_vec3(grp, "increment_z", prb_data->increment_z, 1); + DRW_shgroup_uniform_ivec3(grp, "grid_resolution", &prb->grid_resolution_x, 1); + DRW_shgroup_call_procedural_points_add(grp, cell_count, NULL); + } + else if (prb->type == LIGHTPROBE_TYPE_CUBE) { + float draw_size = 1.0f; + float probe_cube_mat[4][4]; + // prb_data->draw_size = prb->data_draw_size * 0.1f; + // unit_m4(prb_data->probe_cube_mat); + // copy_v3_v3(prb_data->probe_cube_mat[3], ob->obmat[3]); + + DRWShadingGroup *grp = shgroup_theme_id_to_probe_cube_outline_shgrp( + stl, theme_id, ob->base_flag); + /* TODO remove or change the drawing of the cube probes. Theses line draws nothing on purpose + * to keep the call ids correct. */ + zero_m4(probe_cube_mat); + DRW_shgroup_call_dynamic_add(grp, call_id, &draw_size, probe_cube_mat); + } + else { + float draw_size = 1.0f; + DRWShadingGroup *grp = shgroup_theme_id_to_probe_planar_outline_shgrp(stl, theme_id); + DRW_shgroup_call_dynamic_add(grp, call_id, &draw_size, ob->obmat); + } + + *call_id += 1; + } + + switch (prb->type) { + case LIGHTPROBE_TYPE_PLANAR: + DRW_shgroup_call_dynamic_add(sgl->probe_planar, ob->obmat[3], color); + break; + case LIGHTPROBE_TYPE_GRID: + DRW_shgroup_call_dynamic_add(sgl->probe_grid, ob->obmat[3], color); + break; + case LIGHTPROBE_TYPE_CUBE: + default: + DRW_shgroup_call_dynamic_add(sgl->probe_cube, ob->obmat[3], color); + break; + } + + if (prb->type == LIGHTPROBE_TYPE_PLANAR) { + float mat[4][4]; + copy_m4_m4(mat, ob->obmat); + normalize_m4(mat); + + DRW_shgroup_call_dynamic_add(sgl->single_arrow, color, &ob->empty_drawsize, mat); + DRW_shgroup_call_dynamic_add(sgl->single_arrow_line, color, &ob->empty_drawsize, mat); + + copy_m4_m4(mat, ob->obmat); + zero_v3(mat[2]); + + DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, mat); + } + + if ((prb->flag & LIGHTPROBE_FLAG_SHOW_INFLUENCE) != 0) { + + prb->distfalloff = (1.0f - prb->falloff) * prb->distinf; + prb->distgridinf = prb->distinf; + + if (prb->type == LIGHTPROBE_TYPE_GRID) { + prb->distfalloff += 1.0f; + prb->distgridinf += 1.0f; + } + + if (prb->type == LIGHTPROBE_TYPE_GRID || prb->attenuation_type == LIGHTPROBE_SHAPE_BOX) { + DRW_shgroup_call_dynamic_add(sgl->cube, color, &prb->distgridinf, ob->obmat); + DRW_shgroup_call_dynamic_add(sgl->cube, color, &prb->distfalloff, ob->obmat); + } + else if (prb->type == LIGHTPROBE_TYPE_PLANAR) { + float rangemat[4][4]; + copy_m4_m4(rangemat, ob->obmat); + normalize_v3(rangemat[2]); + mul_v3_fl(rangemat[2], prb->distinf); + + DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, rangemat); + + copy_m4_m4(rangemat, ob->obmat); + normalize_v3(rangemat[2]); + mul_v3_fl(rangemat[2], prb->distfalloff); + + DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, rangemat); + } + else { + DRW_shgroup_call_dynamic_add(sgl->sphere, color, &prb->distgridinf, ob->obmat); + DRW_shgroup_call_dynamic_add(sgl->sphere, color, &prb->distfalloff, ob->obmat); + } + } + + if ((prb->flag & LIGHTPROBE_FLAG_SHOW_PARALLAX) != 0) { + if (prb->type != LIGHTPROBE_TYPE_PLANAR) { + float(*obmat)[4], *dist; + + if ((prb->flag & LIGHTPROBE_FLAG_CUSTOM_PARALLAX) != 0) { + dist = &prb->distpar; + /* TODO object parallax */ + obmat = ob->obmat; + } + else { + dist = &prb->distinf; + obmat = ob->obmat; + } + + if (prb->parallax_type == LIGHTPROBE_SHAPE_BOX) { + DRW_shgroup_call_dynamic_add(sgl->cube, color, dist, obmat); + } + else { + DRW_shgroup_call_dynamic_add(sgl->sphere, color, dist, obmat); + } + } + } + + if ((prb->flag & LIGHTPROBE_FLAG_SHOW_CLIP_DIST) != 0) { + if (prb->type != LIGHTPROBE_TYPE_PLANAR) { + static const float cubefacemat[6][4][4] = { + {{0.0, 0.0, -1.0, 0.0}, + {0.0, -1.0, 0.0, 0.0}, + {-1.0, 0.0, 0.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + {{0.0, 0.0, 1.0, 0.0}, + {0.0, -1.0, 0.0, 0.0}, + {1.0, 0.0, 0.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + {{1.0, 0.0, 0.0, 0.0}, + {0.0, 0.0, -1.0, 0.0}, + {0.0, 1.0, 0.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + {{1.0, 0.0, 0.0, 0.0}, + {0.0, 0.0, 1.0, 0.0}, + {0.0, -1.0, 0.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + {{1.0, 0.0, 0.0, 0.0}, + {0.0, -1.0, 0.0, 0.0}, + {0.0, 0.0, -1.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + {{-1.0, 0.0, 0.0, 0.0}, + {0.0, -1.0, 0.0, 0.0}, + {0.0, 0.0, 1.0, 0.0}, + {0.0, 0.0, 0.0, 1.0}}, + }; + + for (int i = 0; i < 6; ++i) { + float clipmat[4][4]; + normalize_m4_m4(clipmat, ob->obmat); + mul_m4_m4m4(clipmat, clipmat, cubefacemat[i]); + + DRW_shgroup_call_dynamic_add( + sgl->light_buflimit, color, &prb->clipsta, &prb->clipend, clipmat); + DRW_shgroup_call_dynamic_add( + sgl->light_buflimit_points, color, &prb->clipsta, &prb->clipend, clipmat); + } + } + } + + /* Line and point going to the ground */ + if (prb->type == LIGHTPROBE_TYPE_CUBE) { + DRW_shgroup_call_dynamic_add(sgl->light_groundline, ob->obmat[3]); + DRW_shgroup_call_dynamic_add(sgl->light_groundpoint, ob->obmat[3]); + } } -static void DRW_shgroup_relationship_lines( - OBJECT_ShadingGroupList *sgl, - Depsgraph *depsgraph, - Scene *scene, - Object *ob) +static void DRW_shgroup_relationship_lines(OBJECT_ShadingGroupList *sgl, + Depsgraph *depsgraph, + Scene *scene, + Object *ob) { - if (ob->parent && (DRW_object_visibility_in_active_context(ob->parent) & OB_VISIBLE_SELF)) { - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->runtime.parent_display_origin); - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); - } - - if (ob->rigidbody_constraint) { - Object *rbc_ob1 = ob->rigidbody_constraint->ob1; - Object *rbc_ob2 = ob->rigidbody_constraint->ob2; - if (rbc_ob1 && (DRW_object_visibility_in_active_context(rbc_ob1) & OB_VISIBLE_SELF)) { - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, rbc_ob1->obmat[3]); - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); - } - if (rbc_ob2 && (DRW_object_visibility_in_active_context(rbc_ob2) & OB_VISIBLE_SELF)) { - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, rbc_ob2->obmat[3]); - DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); - } - } - - /* Drawing the constraint lines */ - if (!BLI_listbase_is_empty(&ob->constraints)) { - bConstraint *curcon; - bConstraintOb *cob; - ListBase *list = &ob->constraints; - - cob = BKE_constraints_make_evalob(depsgraph, scene, ob, NULL, CONSTRAINT_OBTYPE_OBJECT); - - for (curcon = list->first; curcon; curcon = curcon->next) { - if (ELEM(curcon->type, CONSTRAINT_TYPE_FOLLOWTRACK, CONSTRAINT_TYPE_OBJECTSOLVER)) { - /* special case for object solver and follow track constraints because they don't fill - * constraint targets properly (design limitation -- scene is needed for their target - * but it can't be accessed from get_targets callback) */ - - Object *camob = NULL; - - if (curcon->type == CONSTRAINT_TYPE_FOLLOWTRACK) { - bFollowTrackConstraint *data = (bFollowTrackConstraint *)curcon->data; - - camob = data->camera ? data->camera : scene->camera; - } - else if (curcon->type == CONSTRAINT_TYPE_OBJECTSOLVER) { - bObjectSolverConstraint *data = (bObjectSolverConstraint *)curcon->data; - - camob = data->camera ? data->camera : scene->camera; - } - - if (camob) { - DRW_shgroup_call_dynamic_add(sgl->constraint_lines, camob->obmat[3]); - DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ob->obmat[3]); - } - } - else { - const bConstraintTypeInfo *cti = BKE_constraint_typeinfo_get(curcon); - - if ((cti && cti->get_constraint_targets) && (curcon->flag & CONSTRAINT_EXPAND)) { - ListBase targets = {NULL, NULL}; - bConstraintTarget *ct; - - cti->get_constraint_targets(curcon, &targets); - - for (ct = targets.first; ct; ct = ct->next) { - /* calculate target's matrix */ - if (cti->get_target_matrix) { - cti->get_target_matrix(depsgraph, - curcon, - cob, - ct, - DEG_get_ctime(depsgraph)); - } - else { - unit_m4(ct->matrix); - } - - DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ct->matrix[3]); - DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ob->obmat[3]); - } - - if (cti->flush_constraint_targets) { - cti->flush_constraint_targets(curcon, &targets, 1); - } - } - } - } - - BKE_constraints_clear_evalob(cob); - } + if (ob->parent && (DRW_object_visibility_in_active_context(ob->parent) & OB_VISIBLE_SELF)) { + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->runtime.parent_display_origin); + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); + } + + if (ob->rigidbody_constraint) { + Object *rbc_ob1 = ob->rigidbody_constraint->ob1; + Object *rbc_ob2 = ob->rigidbody_constraint->ob2; + if (rbc_ob1 && (DRW_object_visibility_in_active_context(rbc_ob1) & OB_VISIBLE_SELF)) { + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, rbc_ob1->obmat[3]); + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); + } + if (rbc_ob2 && (DRW_object_visibility_in_active_context(rbc_ob2) & OB_VISIBLE_SELF)) { + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, rbc_ob2->obmat[3]); + DRW_shgroup_call_dynamic_add(sgl->relationship_lines, ob->obmat[3]); + } + } + + /* Drawing the constraint lines */ + if (!BLI_listbase_is_empty(&ob->constraints)) { + bConstraint *curcon; + bConstraintOb *cob; + ListBase *list = &ob->constraints; + + cob = BKE_constraints_make_evalob(depsgraph, scene, ob, NULL, CONSTRAINT_OBTYPE_OBJECT); + + for (curcon = list->first; curcon; curcon = curcon->next) { + if (ELEM(curcon->type, CONSTRAINT_TYPE_FOLLOWTRACK, CONSTRAINT_TYPE_OBJECTSOLVER)) { + /* special case for object solver and follow track constraints because they don't fill + * constraint targets properly (design limitation -- scene is needed for their target + * but it can't be accessed from get_targets callback) */ + + Object *camob = NULL; + + if (curcon->type == CONSTRAINT_TYPE_FOLLOWTRACK) { + bFollowTrackConstraint *data = (bFollowTrackConstraint *)curcon->data; + + camob = data->camera ? data->camera : scene->camera; + } + else if (curcon->type == CONSTRAINT_TYPE_OBJECTSOLVER) { + bObjectSolverConstraint *data = (bObjectSolverConstraint *)curcon->data; + + camob = data->camera ? data->camera : scene->camera; + } + + if (camob) { + DRW_shgroup_call_dynamic_add(sgl->constraint_lines, camob->obmat[3]); + DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ob->obmat[3]); + } + } + else { + const bConstraintTypeInfo *cti = BKE_constraint_typeinfo_get(curcon); + + if ((cti && cti->get_constraint_targets) && (curcon->flag & CONSTRAINT_EXPAND)) { + ListBase targets = {NULL, NULL}; + bConstraintTarget *ct; + + cti->get_constraint_targets(curcon, &targets); + + for (ct = targets.first; ct; ct = ct->next) { + /* calculate target's matrix */ + if (cti->get_target_matrix) { + cti->get_target_matrix(depsgraph, curcon, cob, ct, DEG_get_ctime(depsgraph)); + } + else { + unit_m4(ct->matrix); + } + + DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ct->matrix[3]); + DRW_shgroup_call_dynamic_add(sgl->constraint_lines, ob->obmat[3]); + } + + if (cti->flush_constraint_targets) { + cti->flush_constraint_targets(curcon, &targets, 1); + } + } + } + } + + BKE_constraints_clear_evalob(cob); + } } -static void DRW_shgroup_object_center(OBJECT_StorageList *stl, Object *ob, ViewLayer *view_layer, View3D *v3d) +static void DRW_shgroup_object_center(OBJECT_StorageList *stl, + Object *ob, + ViewLayer *view_layer, + View3D *v3d) { - if (v3d->overlay.flag & V3D_OVERLAY_HIDE_OBJECT_ORIGINS) { - return; - } - const bool is_library = ob->id.us > 1 || ID_IS_LINKED(ob); - DRWShadingGroup *shgroup; - - if (ob == OBACT(view_layer)) { - shgroup = stl->g_data->center_active; - } - else if (ob->base_flag & BASE_SELECTED) { - if (is_library) { - shgroup = stl->g_data->center_selected_lib; - } - else { - shgroup = stl->g_data->center_selected; - } - } - else if (v3d->flag & V3D_DRAW_CENTERS) { - if (is_library) { - shgroup = stl->g_data->center_deselected_lib; - } - else { - shgroup = stl->g_data->center_deselected; - } - } - else { - return; - } - - DRW_shgroup_call_dynamic_add(shgroup, ob->obmat[3]); + if (v3d->overlay.flag & V3D_OVERLAY_HIDE_OBJECT_ORIGINS) { + return; + } + const bool is_library = ob->id.us > 1 || ID_IS_LINKED(ob); + DRWShadingGroup *shgroup; + + if (ob == OBACT(view_layer)) { + shgroup = stl->g_data->center_active; + } + else if (ob->base_flag & BASE_SELECTED) { + if (is_library) { + shgroup = stl->g_data->center_selected_lib; + } + else { + shgroup = stl->g_data->center_selected; + } + } + else if (v3d->flag & V3D_DRAW_CENTERS) { + if (is_library) { + shgroup = stl->g_data->center_deselected_lib; + } + else { + shgroup = stl->g_data->center_deselected; + } + } + else { + return; + } + + DRW_shgroup_call_dynamic_add(shgroup, ob->obmat[3]); } static void DRW_shgroup_texture_space(OBJECT_ShadingGroupList *sgl, Object *ob, int theme_id) { - if (ob->data == NULL) { - return; - } - - ID *ob_data = ob->data; - float *texcoloc = NULL; - float *texcosize = NULL; - - switch (GS(ob_data->name)) { - case ID_ME: - BKE_mesh_texspace_get_reference((Mesh *)ob_data, NULL, &texcoloc, NULL, &texcosize); - break; - case ID_CU: - { - Curve *cu = (Curve *)ob_data; - if (cu->bb == NULL || (cu->bb->flag & BOUNDBOX_DIRTY)) { - BKE_curve_texspace_calc(cu); - } - texcoloc = cu->loc; - texcosize = cu->size; - break; - } - case ID_MB: - { - MetaBall *mb = (MetaBall *)ob_data; - texcoloc = mb->loc; - texcosize = mb->size; - break; - } - default: - BLI_assert(0); - } - - float tmp[4][4] = {{0.0f}}, one = 1.0f; - tmp[0][0] = texcosize[0]; - tmp[1][1] = texcosize[1]; - tmp[2][2] = texcosize[2]; - tmp[3][0] = texcoloc[0]; - tmp[3][1] = texcoloc[1]; - tmp[3][2] = texcoloc[2]; - tmp[3][3] = 1.0f; - - mul_m4_m4m4(tmp, ob->obmat, tmp); - - float color[4]; - UI_GetThemeColor4fv(theme_id, color); - - DRW_shgroup_call_dynamic_add(sgl->texspace, color, &one, tmp); + if (ob->data == NULL) { + return; + } + + ID *ob_data = ob->data; + float *texcoloc = NULL; + float *texcosize = NULL; + + switch (GS(ob_data->name)) { + case ID_ME: + BKE_mesh_texspace_get_reference((Mesh *)ob_data, NULL, &texcoloc, NULL, &texcosize); + break; + case ID_CU: { + Curve *cu = (Curve *)ob_data; + if (cu->bb == NULL || (cu->bb->flag & BOUNDBOX_DIRTY)) { + BKE_curve_texspace_calc(cu); + } + texcoloc = cu->loc; + texcosize = cu->size; + break; + } + case ID_MB: { + MetaBall *mb = (MetaBall *)ob_data; + texcoloc = mb->loc; + texcosize = mb->size; + break; + } + default: + BLI_assert(0); + } + + float tmp[4][4] = {{0.0f}}, one = 1.0f; + tmp[0][0] = texcosize[0]; + tmp[1][1] = texcosize[1]; + tmp[2][2] = texcosize[2]; + tmp[3][0] = texcoloc[0]; + tmp[3][1] = texcoloc[1]; + tmp[3][2] = texcoloc[2]; + tmp[3][3] = 1.0f; + + mul_m4_m4m4(tmp, ob->obmat, tmp); + + float color[4]; + UI_GetThemeColor4fv(theme_id, color); + + DRW_shgroup_call_dynamic_add(sgl->texspace, color, &one, tmp); } static void DRW_shgroup_bounds(OBJECT_ShadingGroupList *sgl, Object *ob, int theme_id) { - float color[4], center[3], size[3], tmp[4][4], final_mat[4][4], one = 1.0f; - BoundBox bb_local; - - if (ob->type == OB_MBALL && !BKE_mball_is_basis(ob)) { - return; - } - - BoundBox *bb = BKE_object_boundbox_get(ob); - - if (!ELEM(ob->type, OB_MESH, OB_CURVE, OB_SURF, OB_FONT, - OB_MBALL, OB_ARMATURE, OB_LATTICE, OB_GPENCIL)) - { - const float min[3] = {-1.0f, -1.0f, -1.0f}, max[3] = {1.0f, 1.0f, 1.0f}; - bb = &bb_local; - BKE_boundbox_init_from_minmax(bb, min, max); - } - - UI_GetThemeColor4fv(theme_id, color); - BKE_boundbox_calc_center_aabb(bb, center); - BKE_boundbox_calc_size_aabb(bb, size); - - switch (ob->boundtype) { - case OB_BOUND_BOX: - size_to_mat4(tmp, size); - copy_v3_v3(tmp[3], center); - mul_m4_m4m4(tmp, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, tmp); - break; - case OB_BOUND_SPHERE: - size[0] = max_fff(size[0], size[1], size[2]); - size[1] = size[2] = size[0]; - size_to_mat4(tmp, size); - copy_v3_v3(tmp[3], center); - mul_m4_m4m4(tmp, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->sphere, color, &one, tmp); - break; - case OB_BOUND_CYLINDER: - size[0] = max_ff(size[0], size[1]); - size[1] = size[0]; - size_to_mat4(tmp, size); - copy_v3_v3(tmp[3], center); - mul_m4_m4m4(tmp, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->cylinder, color, &one, tmp); - break; - case OB_BOUND_CONE: - size[0] = max_ff(size[0], size[1]); - size[1] = size[0]; - size_to_mat4(tmp, size); - copy_v3_v3(tmp[3], center); - /* Cone batch has base at 0 and is pointing towards +Y. */ - swap_v3_v3(tmp[1], tmp[2]); - tmp[3][2] -= size[2]; - mul_m4_m4m4(tmp, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->cone, color, &one, tmp); - break; - case OB_BOUND_CAPSULE: - size[0] = max_ff(size[0], size[1]); - size[1] = size[0]; - scale_m4_fl(tmp, size[0]); - copy_v2_v2(tmp[3], center); - tmp[3][2] = center[2] + max_ff(0.0f, size[2] - size[0]); - mul_m4_m4m4(final_mat, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->capsule_cap, color, &one, final_mat); - negate_v3(tmp[2]); - tmp[3][2] = center[2] - max_ff(0.0f, size[2] - size[0]); - mul_m4_m4m4(final_mat, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->capsule_cap, color, &one, final_mat); - tmp[2][2] = max_ff(0.0f, size[2] * 2.0f - size[0] * 2.0f); - mul_m4_m4m4(final_mat, ob->obmat, tmp); - DRW_shgroup_call_dynamic_add(sgl->capsule_body, color, &one, final_mat); - break; - } + float color[4], center[3], size[3], tmp[4][4], final_mat[4][4], one = 1.0f; + BoundBox bb_local; + + if (ob->type == OB_MBALL && !BKE_mball_is_basis(ob)) { + return; + } + + BoundBox *bb = BKE_object_boundbox_get(ob); + + if (!ELEM(ob->type, + OB_MESH, + OB_CURVE, + OB_SURF, + OB_FONT, + OB_MBALL, + OB_ARMATURE, + OB_LATTICE, + OB_GPENCIL)) { + const float min[3] = {-1.0f, -1.0f, -1.0f}, max[3] = {1.0f, 1.0f, 1.0f}; + bb = &bb_local; + BKE_boundbox_init_from_minmax(bb, min, max); + } + + UI_GetThemeColor4fv(theme_id, color); + BKE_boundbox_calc_center_aabb(bb, center); + BKE_boundbox_calc_size_aabb(bb, size); + + switch (ob->boundtype) { + case OB_BOUND_BOX: + size_to_mat4(tmp, size); + copy_v3_v3(tmp[3], center); + mul_m4_m4m4(tmp, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->cube, color, &one, tmp); + break; + case OB_BOUND_SPHERE: + size[0] = max_fff(size[0], size[1], size[2]); + size[1] = size[2] = size[0]; + size_to_mat4(tmp, size); + copy_v3_v3(tmp[3], center); + mul_m4_m4m4(tmp, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->sphere, color, &one, tmp); + break; + case OB_BOUND_CYLINDER: + size[0] = max_ff(size[0], size[1]); + size[1] = size[0]; + size_to_mat4(tmp, size); + copy_v3_v3(tmp[3], center); + mul_m4_m4m4(tmp, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->cylinder, color, &one, tmp); + break; + case OB_BOUND_CONE: + size[0] = max_ff(size[0], size[1]); + size[1] = size[0]; + size_to_mat4(tmp, size); + copy_v3_v3(tmp[3], center); + /* Cone batch has base at 0 and is pointing towards +Y. */ + swap_v3_v3(tmp[1], tmp[2]); + tmp[3][2] -= size[2]; + mul_m4_m4m4(tmp, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->cone, color, &one, tmp); + break; + case OB_BOUND_CAPSULE: + size[0] = max_ff(size[0], size[1]); + size[1] = size[0]; + scale_m4_fl(tmp, size[0]); + copy_v2_v2(tmp[3], center); + tmp[3][2] = center[2] + max_ff(0.0f, size[2] - size[0]); + mul_m4_m4m4(final_mat, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->capsule_cap, color, &one, final_mat); + negate_v3(tmp[2]); + tmp[3][2] = center[2] - max_ff(0.0f, size[2] - size[0]); + mul_m4_m4m4(final_mat, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->capsule_cap, color, &one, final_mat); + tmp[2][2] = max_ff(0.0f, size[2] * 2.0f - size[0] * 2.0f); + mul_m4_m4m4(final_mat, ob->obmat, tmp); + DRW_shgroup_call_dynamic_add(sgl->capsule_body, color, &one, final_mat); + break; + } } -static void OBJECT_cache_populate_particles( - OBJECT_Shaders *sh_data, - Object *ob, - OBJECT_PassList *psl) +static void OBJECT_cache_populate_particles(OBJECT_Shaders *sh_data, + Object *ob, + OBJECT_PassList *psl) { - for (ParticleSystem *psys = ob->particlesystem.first; psys; psys = psys->next) { - if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { - continue; - } - - ParticleSettings *part = psys->part; - int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; - - static float mat[4][4]; - unit_m4(mat); - - if (draw_as != PART_DRAW_PATH) { - struct GPUBatch *geom = DRW_cache_particles_get_dots(ob, psys); - DRWShadingGroup *shgrp = NULL; - static int screen_space[2] = {0, 1}; - static float def_prim_col[3] = {0.5f, 0.5f, 0.5f}; - static float def_sec_col[3] = {1.0f, 1.0f, 1.0f}; - - /* Dummy particle format for instancing to work. */ - DRW_shgroup_instance_format(e_data.particle_format, {{"dummy", DRW_ATTR_FLOAT, 1}}); - - Material *ma = give_current_material(ob, part->omat); - - switch (draw_as) { - case PART_DRAW_DOT: - shgrp = DRW_shgroup_create(sh_data->part_dot, psl->particle); - DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); - DRW_shgroup_uniform_vec3(shgrp, "outlineColor", ma ? &ma->specr : def_sec_col, 1); - DRW_shgroup_uniform_float(shgrp, "pixel_size", DRW_viewport_pixelsize_get(), 1); - DRW_shgroup_uniform_float(shgrp, "size", &part->draw_size, 1); - DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); - DRW_shgroup_call_add(shgrp, geom, mat); - break; - case PART_DRAW_CROSS: - shgrp = DRW_shgroup_instance_create( - sh_data->part_prim, psl->particle, DRW_cache_particles_get_prim(PART_DRAW_CROSS), - e_data.particle_format); - DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); - DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); - DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[0], 1); - break; - case PART_DRAW_CIRC: - shgrp = DRW_shgroup_instance_create( - sh_data->part_prim, psl->particle, DRW_cache_particles_get_prim(PART_DRAW_CIRC), - e_data.particle_format); - DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); - DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); - DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[1], 1); - break; - case PART_DRAW_AXIS: - shgrp = DRW_shgroup_instance_create( - sh_data->part_axis, psl->particle, DRW_cache_particles_get_prim(PART_DRAW_AXIS), - e_data.particle_format); - DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[0], 1); - break; - default: - break; - } - - if (shgrp) { - if (draw_as != PART_DRAW_DOT) { - DRW_shgroup_uniform_float(shgrp, "draw_size", &part->draw_size, 1); - DRW_shgroup_instance_batch(shgrp, geom); - } - } - } - } + for (ParticleSystem *psys = ob->particlesystem.first; psys; psys = psys->next) { + if (!DRW_object_is_visible_psys_in_active_context(ob, psys)) { + continue; + } + + ParticleSettings *part = psys->part; + int draw_as = (part->draw_as == PART_DRAW_REND) ? part->ren_as : part->draw_as; + + static float mat[4][4]; + unit_m4(mat); + + if (draw_as != PART_DRAW_PATH) { + struct GPUBatch *geom = DRW_cache_particles_get_dots(ob, psys); + DRWShadingGroup *shgrp = NULL; + static int screen_space[2] = {0, 1}; + static float def_prim_col[3] = {0.5f, 0.5f, 0.5f}; + static float def_sec_col[3] = {1.0f, 1.0f, 1.0f}; + + /* Dummy particle format for instancing to work. */ + DRW_shgroup_instance_format(e_data.particle_format, {{"dummy", DRW_ATTR_FLOAT, 1}}); + + Material *ma = give_current_material(ob, part->omat); + + switch (draw_as) { + case PART_DRAW_DOT: + shgrp = DRW_shgroup_create(sh_data->part_dot, psl->particle); + DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); + DRW_shgroup_uniform_vec3(shgrp, "outlineColor", ma ? &ma->specr : def_sec_col, 1); + DRW_shgroup_uniform_float(shgrp, "pixel_size", DRW_viewport_pixelsize_get(), 1); + DRW_shgroup_uniform_float(shgrp, "size", &part->draw_size, 1); + DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); + DRW_shgroup_call_add(shgrp, geom, mat); + break; + case PART_DRAW_CROSS: + shgrp = DRW_shgroup_instance_create(sh_data->part_prim, + psl->particle, + DRW_cache_particles_get_prim(PART_DRAW_CROSS), + e_data.particle_format); + DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); + DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); + DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[0], 1); + break; + case PART_DRAW_CIRC: + shgrp = DRW_shgroup_instance_create(sh_data->part_prim, + psl->particle, + DRW_cache_particles_get_prim(PART_DRAW_CIRC), + e_data.particle_format); + DRW_shgroup_uniform_texture(shgrp, "ramp", G_draw.ramp); + DRW_shgroup_uniform_vec3(shgrp, "color", ma ? &ma->r : def_prim_col, 1); + DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[1], 1); + break; + case PART_DRAW_AXIS: + shgrp = DRW_shgroup_instance_create(sh_data->part_axis, + psl->particle, + DRW_cache_particles_get_prim(PART_DRAW_AXIS), + e_data.particle_format); + DRW_shgroup_uniform_int(shgrp, "screen_space", &screen_space[0], 1); + break; + default: + break; + } + + if (shgrp) { + if (draw_as != PART_DRAW_DOT) { + DRW_shgroup_uniform_float(shgrp, "draw_size", &part->draw_size, 1); + DRW_shgroup_instance_batch(shgrp, geom); + } + } + } + } } static void OBJECT_gpencil_color_names(Object *ob, struct DRWTextStore *dt, uchar color[4]) { - if (ob->mode != OB_MODE_EDIT_GPENCIL) { - return; - } - - bGPdata *gpd = (bGPdata *)ob->data; - if (gpd == NULL) { - return; - } - - for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { - if (gpl->flag & GP_LAYER_HIDE) { - continue; - } - bGPDframe *gpf = gpl->actframe; - if (gpf == NULL) { - continue; - } - for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { - Material *ma = give_current_material(ob, gps->mat_nr + 1); - if (ma == NULL) { - continue; - } - - MaterialGPencilStyle *gp_style = ma->gp_style; - /* skip stroke if it doesn't have any valid data */ - if ((gps->points == NULL) || (gps->totpoints < 1) || (gp_style == NULL)) { - continue; - } - /* check if the color is visible */ - if (gp_style->flag & GP_STYLE_COLOR_HIDE) { - continue; - } - - /* only if selected */ - if (gps->flag & GP_STROKE_SELECT) { - float fpt[3]; - for (int i = 0; i < gps->totpoints; i++) { - bGPDspoint *pt = &gps->points[i]; - if (pt->flag & GP_SPOINT_SELECT) { - mul_v3_m4v3(fpt, ob->obmat, &pt->x); - DRW_text_cache_add( - dt, fpt, - ma->id.name + 2, strlen(ma->id.name + 2), - 10, 0, DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, color); - break; - } - } - } - } - } + if (ob->mode != OB_MODE_EDIT_GPENCIL) { + return; + } + + bGPdata *gpd = (bGPdata *)ob->data; + if (gpd == NULL) { + return; + } + + for (bGPDlayer *gpl = gpd->layers.first; gpl; gpl = gpl->next) { + if (gpl->flag & GP_LAYER_HIDE) { + continue; + } + bGPDframe *gpf = gpl->actframe; + if (gpf == NULL) { + continue; + } + for (bGPDstroke *gps = gpf->strokes.first; gps; gps = gps->next) { + Material *ma = give_current_material(ob, gps->mat_nr + 1); + if (ma == NULL) { + continue; + } + + MaterialGPencilStyle *gp_style = ma->gp_style; + /* skip stroke if it doesn't have any valid data */ + if ((gps->points == NULL) || (gps->totpoints < 1) || (gp_style == NULL)) { + continue; + } + /* check if the color is visible */ + if (gp_style->flag & GP_STYLE_COLOR_HIDE) { + continue; + } + + /* only if selected */ + if (gps->flag & GP_STROKE_SELECT) { + float fpt[3]; + for (int i = 0; i < gps->totpoints; i++) { + bGPDspoint *pt = &gps->points[i]; + if (pt->flag & GP_SPOINT_SELECT) { + mul_v3_m4v3(fpt, ob->obmat, &pt->x); + DRW_text_cache_add(dt, + fpt, + ma->id.name + 2, + strlen(ma->id.name + 2), + 10, + 0, + DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, + color); + break; + } + } + } + } + } } static void OBJECT_cache_populate(void *vedata, Object *ob) { - OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; - OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; - OBJECT_ShadingGroupList *sgl = (ob->dtx & OB_DRAWXRAY) ? &stl->g_data->sgl_ghost : &stl->g_data->sgl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const bool is_edit_mode = (ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob); - ViewLayer *view_layer = draw_ctx->view_layer; - Scene *scene = draw_ctx->scene; - View3D *v3d = draw_ctx->v3d; - RegionView3D *rv3d = draw_ctx->rv3d; - ModifierData *md = NULL; - int theme_id = TH_UNDEFINED; - const int ob_visibility = DRW_object_visibility_in_active_context(ob); - OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - /* Handle particles first in case the emitter itself shouldn't be rendered. */ - if (ob_visibility & OB_VISIBLE_PARTICLES) { - OBJECT_cache_populate_particles(sh_data, ob, psl); - } - - if ((ob_visibility & OB_VISIBLE_SELF) == 0) { - return; - } - - const bool do_outlines = ( - (draw_ctx->v3d->flag & V3D_SELECT_OUTLINE) && ((ob->base_flag & BASE_SELECTED) != 0) && - ((DRW_object_is_renderable(ob) && (ob->dt > OB_WIRE)) || (ob->dt == OB_WIRE))); - const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); - const bool hide_object_extra = ( - (v3d->overlay.flag & V3D_OVERLAY_HIDE_OBJECT_XTRAS) != 0 && - /* Show if this is the camera we're looking through - * since it's useful for moving the camera. */ - (((rv3d->persp == RV3D_CAMOB) && ((ID *)v3d->camera == ob->id.orig_id)) == 0)); - - if (do_outlines) { - if (!BKE_object_is_in_editmode(ob) && - !((ob == draw_ctx->obact) && (draw_ctx->object_mode & OB_MODE_ALL_PAINT))) - { - struct GPUBatch *geom; - - /* This fixes only the biggest case which is a plane in ortho view. */ - int flat_axis = 0; - bool is_flat_object_viewed_from_side = ( - (rv3d->persp == RV3D_ORTHO) && - DRW_object_is_flat(ob, &flat_axis) && - DRW_object_axis_orthogonal_to_view(ob, flat_axis)); - - if (stl->g_data->xray_enabled_and_not_wire || is_flat_object_viewed_from_side) { - geom = DRW_cache_object_edge_detection_get(ob, NULL); - } - else { - geom = DRW_cache_object_surface_get(ob); - } - - if (geom) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - DRWShadingGroup *shgroup = shgroup_theme_id_to_outline_or_null(stl, theme_id, ob->base_flag); - if (shgroup != NULL) { - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - } - } - } - - switch (ob->type) { - case OB_MESH: - { - if (hide_object_extra) { - break; - } - Mesh *me = ob->data; - if (!is_edit_mode && me->totedge == 0) { - struct GPUBatch *geom = DRW_cache_mesh_all_verts_get(ob); - if (geom) { - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRWShadingGroup *shgroup = shgroup_theme_id_to_point(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - } - else { - bool has_edit_mesh_cage = false; - /* TODO: Should be its own function. */ - if (is_edit_mode) { - BMEditMesh *embm = me->edit_mesh; - has_edit_mesh_cage = embm->mesh_eval_cage && (embm->mesh_eval_cage != embm->mesh_eval_final); - } - if ((!is_edit_mode && me->totedge > 0) || has_edit_mesh_cage) { - struct GPUBatch *geom = DRW_cache_mesh_loose_edges_get(ob); - if (geom) { - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - } - } - break; - } - case OB_SURF: - { - if (hide_object_extra) { - break; - } - struct GPUBatch *geom = DRW_cache_surf_edge_wire_get(ob); - if (geom == NULL) { - break; - } - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - break; - } - case OB_LATTICE: - { - if (!is_edit_mode) { - if (hide_object_extra) { - break; - } - struct GPUBatch *geom = DRW_cache_lattice_wire_get(ob, false); - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - - DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - break; - } - case OB_CURVE: - { - if (!is_edit_mode) { - if (hide_object_extra) { - break; - } - struct GPUBatch *geom = DRW_cache_curve_edge_wire_get(ob); - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - break; - } - case OB_MBALL: - { - if (!is_edit_mode) { - DRW_shgroup_mball_handles(sgl, ob, view_layer); - } - break; - } - case OB_LAMP: - if (hide_object_extra) { - break; - } - DRW_shgroup_light(sgl, ob, view_layer); - break; - case OB_CAMERA: - if (hide_object_extra) { - break; - } - DRW_shgroup_camera(sgl, ob, view_layer); - break; - case OB_EMPTY: - if (hide_object_extra) { - break; - } - DRW_shgroup_empty(sh_data, sgl, ob, view_layer, rv3d, draw_ctx->sh_cfg); - break; - case OB_SPEAKER: - if (hide_object_extra) { - break; - } - DRW_shgroup_speaker(sgl, ob, view_layer); - break; - case OB_LIGHTPROBE: - if (hide_object_extra) { - break; - } - DRW_shgroup_lightprobe(sh_data, stl, psl, ob, view_layer); - break; - case OB_ARMATURE: - { - if ((v3d->flag2 & V3D_HIDE_OVERLAYS) || - (v3d->overlay.flag & V3D_OVERLAY_HIDE_BONES) || - ((ob->dt < OB_WIRE) && !DRW_state_is_select())) - { - break; - } - bArmature *arm = ob->data; - if (arm->edbo == NULL) { - if (DRW_state_is_select() || !DRW_pose_mode_armature(ob, draw_ctx->obact)) { - bool is_wire = (v3d->shading.type == OB_WIRE) || (ob->dt <= OB_WIRE) || XRAY_FLAG_ENABLED(v3d); - DRWArmaturePasses passes = { - .bone_solid = (is_wire) ? NULL : sgl->bone_solid, - .bone_outline = sgl->bone_outline, - .bone_wire = sgl->bone_wire, - .bone_envelope = sgl->bone_envelope, - .bone_axes = sgl->bone_axes, - .relationship_lines = NULL, /* Don't draw relationship lines */ - }; - DRW_shgroup_armature_object(ob, view_layer, passes, is_wire); - } - } - break; - } - case OB_FONT: - { - if (hide_object_extra) { - break; - } - Curve *cu = (Curve *)ob->data; - bool has_surface = (cu->flag & (CU_FRONT | CU_BACK)) || cu->ext1 != 0.0f || cu->ext2 != 0.0f; - if (!has_surface) { - struct GPUBatch *geom = DRW_cache_text_edge_wire_get(ob); - if (geom) { - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); - DRW_shgroup_call_object_add(shgroup, geom, ob); - } - } - break; - } - default: - break; - } - - if (ob->pd && ob->pd->forcefield) { - DRW_shgroup_forcefield(sgl, ob, view_layer); - } - - if ((ob->dt == OB_BOUNDBOX) && - !ELEM(ob->type, OB_LAMP, OB_CAMERA, OB_EMPTY, OB_SPEAKER, OB_LIGHTPROBE)) - { - if (theme_id == TH_UNDEFINED) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - DRW_shgroup_bounds(sgl, ob, theme_id); - } - - /* don't show object extras in set's */ - if ((ob->base_flag & (BASE_FROM_SET | BASE_FROM_DUPLI)) == 0) { - if ((draw_ctx->object_mode & (OB_MODE_ALL_PAINT | OB_MODE_ALL_PAINT_GPENCIL)) == 0) { - DRW_shgroup_object_center(stl, ob, view_layer, v3d); - } - - if (show_relations && !DRW_state_is_select()) { - DRW_shgroup_relationship_lines(sgl, draw_ctx->depsgraph, scene, ob); - } - - const bool draw_extra = (ob->dtx != 0); - if (draw_extra && (theme_id == TH_UNDEFINED)) { - theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); - } - - if ((ob->dtx & OB_DRAWNAME) && DRW_state_show_text()) { - struct DRWTextStore *dt = DRW_text_cache_ensure(); - - uchar color[4]; - UI_GetThemeColor4ubv(theme_id, color); - - DRW_text_cache_add( - dt, ob->obmat[3], - ob->id.name + 2, strlen(ob->id.name + 2), - 10, 0, DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, color); - - /* draw grease pencil stroke names */ - if (ob->type == OB_GPENCIL) { - OBJECT_gpencil_color_names(ob, dt, color); - } - } - - if ((ob->dtx & OB_TEXSPACE) && ELEM(ob->type, OB_MESH, OB_CURVE, OB_MBALL)) { - DRW_shgroup_texture_space(sgl, ob, theme_id); - } - - /* Don't draw bounding box again if draw type is bound box. */ - if ((ob->dtx & OB_DRAWBOUNDOX) && - (ob->dt != OB_BOUNDBOX) && - !ELEM(ob->type, OB_LAMP, OB_CAMERA, OB_EMPTY, OB_SPEAKER, OB_LIGHTPROBE)) - { - DRW_shgroup_bounds(sgl, ob, theme_id); - } - - if (ob->dtx & OB_AXIS) { - float *color, axes_size = 1.0f; - DRW_object_wire_theme_get(ob, view_layer, &color); - - DRW_shgroup_call_dynamic_add(sgl->empty_axes, color, &axes_size, ob->obmat); - } - - if ((md = modifiers_findByType(ob, eModifierType_Smoke)) && - (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && - (((SmokeModifierData *)md)->domain != NULL)) - { - DRW_shgroup_volume_extra(sgl, ob, view_layer, scene, md); - } - } + OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; + OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; + OBJECT_ShadingGroupList *sgl = (ob->dtx & OB_DRAWXRAY) ? &stl->g_data->sgl_ghost : + &stl->g_data->sgl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const bool is_edit_mode = (ob == draw_ctx->object_edit) || BKE_object_is_in_editmode(ob); + ViewLayer *view_layer = draw_ctx->view_layer; + Scene *scene = draw_ctx->scene; + View3D *v3d = draw_ctx->v3d; + RegionView3D *rv3d = draw_ctx->rv3d; + ModifierData *md = NULL; + int theme_id = TH_UNDEFINED; + const int ob_visibility = DRW_object_visibility_in_active_context(ob); + OBJECT_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + /* Handle particles first in case the emitter itself shouldn't be rendered. */ + if (ob_visibility & OB_VISIBLE_PARTICLES) { + OBJECT_cache_populate_particles(sh_data, ob, psl); + } + + if ((ob_visibility & OB_VISIBLE_SELF) == 0) { + return; + } + + const bool do_outlines = ((draw_ctx->v3d->flag & V3D_SELECT_OUTLINE) && + ((ob->base_flag & BASE_SELECTED) != 0) && + ((DRW_object_is_renderable(ob) && (ob->dt > OB_WIRE)) || + (ob->dt == OB_WIRE))); + const bool show_relations = ((draw_ctx->v3d->flag & V3D_HIDE_HELPLINES) == 0); + const bool hide_object_extra = ((v3d->overlay.flag & V3D_OVERLAY_HIDE_OBJECT_XTRAS) != 0 && + /* Show if this is the camera we're looking through + * since it's useful for moving the camera. */ + (((rv3d->persp == RV3D_CAMOB) && + ((ID *)v3d->camera == ob->id.orig_id)) == 0)); + + if (do_outlines) { + if (!BKE_object_is_in_editmode(ob) && + !((ob == draw_ctx->obact) && (draw_ctx->object_mode & OB_MODE_ALL_PAINT))) { + struct GPUBatch *geom; + + /* This fixes only the biggest case which is a plane in ortho view. */ + int flat_axis = 0; + bool is_flat_object_viewed_from_side = ((rv3d->persp == RV3D_ORTHO) && + DRW_object_is_flat(ob, &flat_axis) && + DRW_object_axis_orthogonal_to_view(ob, flat_axis)); + + if (stl->g_data->xray_enabled_and_not_wire || is_flat_object_viewed_from_side) { + geom = DRW_cache_object_edge_detection_get(ob, NULL); + } + else { + geom = DRW_cache_object_surface_get(ob); + } + + if (geom) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + DRWShadingGroup *shgroup = shgroup_theme_id_to_outline_or_null( + stl, theme_id, ob->base_flag); + if (shgroup != NULL) { + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + } + } + } + + switch (ob->type) { + case OB_MESH: { + if (hide_object_extra) { + break; + } + Mesh *me = ob->data; + if (!is_edit_mode && me->totedge == 0) { + struct GPUBatch *geom = DRW_cache_mesh_all_verts_get(ob); + if (geom) { + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRWShadingGroup *shgroup = shgroup_theme_id_to_point(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + } + else { + bool has_edit_mesh_cage = false; + /* TODO: Should be its own function. */ + if (is_edit_mode) { + BMEditMesh *embm = me->edit_mesh; + has_edit_mesh_cage = embm->mesh_eval_cage && + (embm->mesh_eval_cage != embm->mesh_eval_final); + } + if ((!is_edit_mode && me->totedge > 0) || has_edit_mesh_cage) { + struct GPUBatch *geom = DRW_cache_mesh_loose_edges_get(ob); + if (geom) { + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + } + } + break; + } + case OB_SURF: { + if (hide_object_extra) { + break; + } + struct GPUBatch *geom = DRW_cache_surf_edge_wire_get(ob); + if (geom == NULL) { + break; + } + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + break; + } + case OB_LATTICE: { + if (!is_edit_mode) { + if (hide_object_extra) { + break; + } + struct GPUBatch *geom = DRW_cache_lattice_wire_get(ob, false); + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + + DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + break; + } + case OB_CURVE: { + if (!is_edit_mode) { + if (hide_object_extra) { + break; + } + struct GPUBatch *geom = DRW_cache_curve_edge_wire_get(ob); + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + break; + } + case OB_MBALL: { + if (!is_edit_mode) { + DRW_shgroup_mball_handles(sgl, ob, view_layer); + } + break; + } + case OB_LAMP: + if (hide_object_extra) { + break; + } + DRW_shgroup_light(sgl, ob, view_layer); + break; + case OB_CAMERA: + if (hide_object_extra) { + break; + } + DRW_shgroup_camera(sgl, ob, view_layer); + break; + case OB_EMPTY: + if (hide_object_extra) { + break; + } + DRW_shgroup_empty(sh_data, sgl, ob, view_layer, rv3d, draw_ctx->sh_cfg); + break; + case OB_SPEAKER: + if (hide_object_extra) { + break; + } + DRW_shgroup_speaker(sgl, ob, view_layer); + break; + case OB_LIGHTPROBE: + if (hide_object_extra) { + break; + } + DRW_shgroup_lightprobe(sh_data, stl, psl, ob, view_layer); + break; + case OB_ARMATURE: { + if ((v3d->flag2 & V3D_HIDE_OVERLAYS) || (v3d->overlay.flag & V3D_OVERLAY_HIDE_BONES) || + ((ob->dt < OB_WIRE) && !DRW_state_is_select())) { + break; + } + bArmature *arm = ob->data; + if (arm->edbo == NULL) { + if (DRW_state_is_select() || !DRW_pose_mode_armature(ob, draw_ctx->obact)) { + bool is_wire = (v3d->shading.type == OB_WIRE) || (ob->dt <= OB_WIRE) || + XRAY_FLAG_ENABLED(v3d); + DRWArmaturePasses passes = { + .bone_solid = (is_wire) ? NULL : sgl->bone_solid, + .bone_outline = sgl->bone_outline, + .bone_wire = sgl->bone_wire, + .bone_envelope = sgl->bone_envelope, + .bone_axes = sgl->bone_axes, + .relationship_lines = NULL, /* Don't draw relationship lines */ + }; + DRW_shgroup_armature_object(ob, view_layer, passes, is_wire); + } + } + break; + } + case OB_FONT: { + if (hide_object_extra) { + break; + } + Curve *cu = (Curve *)ob->data; + bool has_surface = (cu->flag & (CU_FRONT | CU_BACK)) || cu->ext1 != 0.0f || cu->ext2 != 0.0f; + if (!has_surface) { + struct GPUBatch *geom = DRW_cache_text_edge_wire_get(ob); + if (geom) { + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRWShadingGroup *shgroup = shgroup_theme_id_to_wire(sgl, theme_id, ob->base_flag); + DRW_shgroup_call_object_add(shgroup, geom, ob); + } + } + break; + } + default: + break; + } + + if (ob->pd && ob->pd->forcefield) { + DRW_shgroup_forcefield(sgl, ob, view_layer); + } + + if ((ob->dt == OB_BOUNDBOX) && + !ELEM(ob->type, OB_LAMP, OB_CAMERA, OB_EMPTY, OB_SPEAKER, OB_LIGHTPROBE)) { + if (theme_id == TH_UNDEFINED) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + DRW_shgroup_bounds(sgl, ob, theme_id); + } + + /* don't show object extras in set's */ + if ((ob->base_flag & (BASE_FROM_SET | BASE_FROM_DUPLI)) == 0) { + if ((draw_ctx->object_mode & (OB_MODE_ALL_PAINT | OB_MODE_ALL_PAINT_GPENCIL)) == 0) { + DRW_shgroup_object_center(stl, ob, view_layer, v3d); + } + + if (show_relations && !DRW_state_is_select()) { + DRW_shgroup_relationship_lines(sgl, draw_ctx->depsgraph, scene, ob); + } + + const bool draw_extra = (ob->dtx != 0); + if (draw_extra && (theme_id == TH_UNDEFINED)) { + theme_id = DRW_object_wire_theme_get(ob, view_layer, NULL); + } + + if ((ob->dtx & OB_DRAWNAME) && DRW_state_show_text()) { + struct DRWTextStore *dt = DRW_text_cache_ensure(); + + uchar color[4]; + UI_GetThemeColor4ubv(theme_id, color); + + DRW_text_cache_add(dt, + ob->obmat[3], + ob->id.name + 2, + strlen(ob->id.name + 2), + 10, + 0, + DRW_TEXT_CACHE_GLOBALSPACE | DRW_TEXT_CACHE_STRING_PTR, + color); + + /* draw grease pencil stroke names */ + if (ob->type == OB_GPENCIL) { + OBJECT_gpencil_color_names(ob, dt, color); + } + } + + if ((ob->dtx & OB_TEXSPACE) && ELEM(ob->type, OB_MESH, OB_CURVE, OB_MBALL)) { + DRW_shgroup_texture_space(sgl, ob, theme_id); + } + + /* Don't draw bounding box again if draw type is bound box. */ + if ((ob->dtx & OB_DRAWBOUNDOX) && (ob->dt != OB_BOUNDBOX) && + !ELEM(ob->type, OB_LAMP, OB_CAMERA, OB_EMPTY, OB_SPEAKER, OB_LIGHTPROBE)) { + DRW_shgroup_bounds(sgl, ob, theme_id); + } + + if (ob->dtx & OB_AXIS) { + float *color, axes_size = 1.0f; + DRW_object_wire_theme_get(ob, view_layer, &color); + + DRW_shgroup_call_dynamic_add(sgl->empty_axes, color, &axes_size, ob->obmat); + } + + if ((md = modifiers_findByType(ob, eModifierType_Smoke)) && + (modifier_isEnabled(scene, md, eModifierMode_Realtime)) && + (((SmokeModifierData *)md)->domain != NULL)) { + DRW_shgroup_volume_extra(sgl, ob, view_layer, scene, md); + } + } } static void OBJECT_cache_finish(void *vedata) { - OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; + OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; - DRW_pass_sort_shgroup_z(stl->g_data->sgl.image_empties); - DRW_pass_sort_shgroup_z(stl->g_data->sgl_ghost.image_empties); + DRW_pass_sort_shgroup_z(stl->g_data->sgl.image_empties); + DRW_pass_sort_shgroup_z(stl->g_data->sgl_ghost.image_empties); } static void OBJECT_draw_scene(void *vedata) { - OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; - OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; - OBJECT_FramebufferList *fbl = ((OBJECT_Data *)vedata)->fbl; - OBJECT_PrivateData *g_data = stl->g_data; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - int id_len_select = g_data->id_ofs_select; - int id_len_select_dupli = g_data->id_ofs_select_dupli; - int id_len_active = g_data->id_ofs_active; - int id_len_transform = g_data->id_ofs_transform; - - int id_len_prb_select = g_data->id_ofs_prb_select; - int id_len_prb_select_dupli = g_data->id_ofs_prb_select_dupli; - int id_len_prb_active = g_data->id_ofs_prb_active; - int id_len_prb_transform = g_data->id_ofs_prb_transform; - - int outline_calls = id_len_select + id_len_select_dupli + id_len_active + id_len_transform; - outline_calls += id_len_prb_select + id_len_prb_select_dupli + id_len_prb_active + id_len_prb_transform; - - float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; - - /* Don't draw Transparent passes in MSAA buffer. */ -// DRW_draw_pass(psl->bone_envelope); /* Never drawn in Object mode currently. */ - DRW_draw_pass(stl->g_data->sgl.transp_shapes); - - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - - DRW_draw_pass(stl->g_data->sgl.bone_solid); - DRW_draw_pass(stl->g_data->sgl.bone_wire); - DRW_draw_pass(stl->g_data->sgl.bone_outline); - DRW_draw_pass(stl->g_data->sgl.non_meshes); - DRW_draw_pass(psl->particle); - DRW_draw_pass(stl->g_data->sgl.bone_axes); - - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - - DRW_draw_pass(stl->g_data->sgl.image_empties); - - if (DRW_state_is_fbo() && outline_calls > 0) { - DRW_stats_group_start("Outlines"); - - g_data->id_ofs_active = 1; - g_data->id_ofs_select = g_data->id_ofs_active + id_len_active + id_len_prb_active + 1; - g_data->id_ofs_select_dupli = g_data->id_ofs_select + id_len_select + id_len_prb_select + 1; - g_data->id_ofs_transform = g_data->id_ofs_select_dupli + id_len_select_dupli + id_len_prb_select_dupli + 1; - - g_data->id_ofs_prb_active = g_data->id_ofs_active + id_len_active; - g_data->id_ofs_prb_select = g_data->id_ofs_select + id_len_select; - g_data->id_ofs_prb_select_dupli = g_data->id_ofs_select_dupli + id_len_select_dupli; - g_data->id_ofs_prb_transform = g_data->id_ofs_transform + id_len_transform; - - /* Render filled polygon on a separate framebuffer */ - GPU_framebuffer_bind(fbl->outlines_fb); - GPU_framebuffer_clear_color_depth(fbl->outlines_fb, clearcol, 1.0f); - DRW_draw_pass(psl->outlines); - DRW_draw_pass(psl->lightprobes); - - /* Search outline pixels */ - GPU_framebuffer_bind(fbl->blur_fb); - DRW_draw_pass(psl->outlines_search); - - /* Expand outline to form a 3px wide line */ - GPU_framebuffer_bind(fbl->expand_fb); - DRW_draw_pass(psl->outlines_expand); - - /* Bleed color so the AA can do it's stuff */ - GPU_framebuffer_bind(fbl->blur_fb); - DRW_draw_pass(psl->outlines_bleed); - - /* restore main framebuffer */ - GPU_framebuffer_bind(dfbl->default_fb); - DRW_stats_group_end(); - } - else if (DRW_state_is_select()) { - /* Render probes spheres/planes so we can select them. */ - DRW_draw_pass(psl->lightprobes); - } - - if (DRW_state_is_fbo()) { - if (e_data.draw_grid) { - GPU_framebuffer_bind(dfbl->color_only_fb); - DRW_draw_pass(psl->grid); - } - - /* Combine with scene buffer last */ - if (outline_calls > 0) { - DRW_draw_pass(psl->outlines_resolve); - } - } - - volumes_free_smoke_textures(); - batch_camera_path_free(&stl->g_data->sgl.camera_path); - - if (!DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_solid) || - !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_wire) || - !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_outline) || - !DRW_pass_is_empty(stl->g_data->sgl_ghost.non_meshes) || - !DRW_pass_is_empty(stl->g_data->sgl_ghost.image_empties) || - !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_axes)) - { - if (DRW_state_is_fbo()) { - /* meh, late init to not request a depth buffer we won't use. */ - const float *viewport_size = DRW_viewport_size_get(); - const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; - - GPUTexture *ghost_depth_tx = DRW_texture_pool_query_2d(size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_object_type); - GPU_framebuffer_ensure_config(&fbl->ghost_fb, { - GPU_ATTACHMENT_TEXTURE(ghost_depth_tx), - GPU_ATTACHMENT_TEXTURE(dtxl->color), - }); - - GPU_framebuffer_bind(fbl->ghost_fb); - GPU_framebuffer_clear_depth(fbl->ghost_fb, 1.0f); - } - else if (DRW_state_is_select()) { - /* XXX `GPU_depth_range` is not a perfect solution - * since very distant geometries can still be occluded. - * Also the depth test precision of these geometries is impaired. - * However solves the selection for the vast majority of cases. */ - GPU_depth_range(0.0f, 0.01f); - } - - DRW_draw_pass(stl->g_data->sgl_ghost.transp_shapes); - DRW_draw_pass(stl->g_data->sgl_ghost.bone_solid); - DRW_draw_pass(stl->g_data->sgl_ghost.bone_wire); - DRW_draw_pass(stl->g_data->sgl_ghost.bone_outline); - DRW_draw_pass(stl->g_data->sgl_ghost.non_meshes); - DRW_draw_pass(stl->g_data->sgl_ghost.image_empties); - DRW_draw_pass(stl->g_data->sgl_ghost.bone_axes); - - if (DRW_state_is_select()) { - GPU_depth_range(0.0f, 1.0f); - } - } - - batch_camera_path_free(&stl->g_data->sgl_ghost.camera_path); - - DRW_draw_pass(psl->ob_center); + OBJECT_PassList *psl = ((OBJECT_Data *)vedata)->psl; + OBJECT_StorageList *stl = ((OBJECT_Data *)vedata)->stl; + OBJECT_FramebufferList *fbl = ((OBJECT_Data *)vedata)->fbl; + OBJECT_PrivateData *g_data = stl->g_data; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + int id_len_select = g_data->id_ofs_select; + int id_len_select_dupli = g_data->id_ofs_select_dupli; + int id_len_active = g_data->id_ofs_active; + int id_len_transform = g_data->id_ofs_transform; + + int id_len_prb_select = g_data->id_ofs_prb_select; + int id_len_prb_select_dupli = g_data->id_ofs_prb_select_dupli; + int id_len_prb_active = g_data->id_ofs_prb_active; + int id_len_prb_transform = g_data->id_ofs_prb_transform; + + int outline_calls = id_len_select + id_len_select_dupli + id_len_active + id_len_transform; + outline_calls += id_len_prb_select + id_len_prb_select_dupli + id_len_prb_active + + id_len_prb_transform; + + float clearcol[4] = {0.0f, 0.0f, 0.0f, 0.0f}; + + /* Don't draw Transparent passes in MSAA buffer. */ + // DRW_draw_pass(psl->bone_envelope); /* Never drawn in Object mode currently. */ + DRW_draw_pass(stl->g_data->sgl.transp_shapes); + + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + + DRW_draw_pass(stl->g_data->sgl.bone_solid); + DRW_draw_pass(stl->g_data->sgl.bone_wire); + DRW_draw_pass(stl->g_data->sgl.bone_outline); + DRW_draw_pass(stl->g_data->sgl.non_meshes); + DRW_draw_pass(psl->particle); + DRW_draw_pass(stl->g_data->sgl.bone_axes); + + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + + DRW_draw_pass(stl->g_data->sgl.image_empties); + + if (DRW_state_is_fbo() && outline_calls > 0) { + DRW_stats_group_start("Outlines"); + + g_data->id_ofs_active = 1; + g_data->id_ofs_select = g_data->id_ofs_active + id_len_active + id_len_prb_active + 1; + g_data->id_ofs_select_dupli = g_data->id_ofs_select + id_len_select + id_len_prb_select + 1; + g_data->id_ofs_transform = g_data->id_ofs_select_dupli + id_len_select_dupli + + id_len_prb_select_dupli + 1; + + g_data->id_ofs_prb_active = g_data->id_ofs_active + id_len_active; + g_data->id_ofs_prb_select = g_data->id_ofs_select + id_len_select; + g_data->id_ofs_prb_select_dupli = g_data->id_ofs_select_dupli + id_len_select_dupli; + g_data->id_ofs_prb_transform = g_data->id_ofs_transform + id_len_transform; + + /* Render filled polygon on a separate framebuffer */ + GPU_framebuffer_bind(fbl->outlines_fb); + GPU_framebuffer_clear_color_depth(fbl->outlines_fb, clearcol, 1.0f); + DRW_draw_pass(psl->outlines); + DRW_draw_pass(psl->lightprobes); + + /* Search outline pixels */ + GPU_framebuffer_bind(fbl->blur_fb); + DRW_draw_pass(psl->outlines_search); + + /* Expand outline to form a 3px wide line */ + GPU_framebuffer_bind(fbl->expand_fb); + DRW_draw_pass(psl->outlines_expand); + + /* Bleed color so the AA can do it's stuff */ + GPU_framebuffer_bind(fbl->blur_fb); + DRW_draw_pass(psl->outlines_bleed); + + /* restore main framebuffer */ + GPU_framebuffer_bind(dfbl->default_fb); + DRW_stats_group_end(); + } + else if (DRW_state_is_select()) { + /* Render probes spheres/planes so we can select them. */ + DRW_draw_pass(psl->lightprobes); + } + + if (DRW_state_is_fbo()) { + if (e_data.draw_grid) { + GPU_framebuffer_bind(dfbl->color_only_fb); + DRW_draw_pass(psl->grid); + } + + /* Combine with scene buffer last */ + if (outline_calls > 0) { + DRW_draw_pass(psl->outlines_resolve); + } + } + + volumes_free_smoke_textures(); + batch_camera_path_free(&stl->g_data->sgl.camera_path); + + if (!DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_solid) || + !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_wire) || + !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_outline) || + !DRW_pass_is_empty(stl->g_data->sgl_ghost.non_meshes) || + !DRW_pass_is_empty(stl->g_data->sgl_ghost.image_empties) || + !DRW_pass_is_empty(stl->g_data->sgl_ghost.bone_axes)) { + if (DRW_state_is_fbo()) { + /* meh, late init to not request a depth buffer we won't use. */ + const float *viewport_size = DRW_viewport_size_get(); + const int size[2] = {(int)viewport_size[0], (int)viewport_size[1]}; + + GPUTexture *ghost_depth_tx = DRW_texture_pool_query_2d( + size[0], size[1], GPU_DEPTH_COMPONENT24, &draw_engine_object_type); + GPU_framebuffer_ensure_config(&fbl->ghost_fb, + { + GPU_ATTACHMENT_TEXTURE(ghost_depth_tx), + GPU_ATTACHMENT_TEXTURE(dtxl->color), + }); + + GPU_framebuffer_bind(fbl->ghost_fb); + GPU_framebuffer_clear_depth(fbl->ghost_fb, 1.0f); + } + else if (DRW_state_is_select()) { + /* XXX `GPU_depth_range` is not a perfect solution + * since very distant geometries can still be occluded. + * Also the depth test precision of these geometries is impaired. + * However solves the selection for the vast majority of cases. */ + GPU_depth_range(0.0f, 0.01f); + } + + DRW_draw_pass(stl->g_data->sgl_ghost.transp_shapes); + DRW_draw_pass(stl->g_data->sgl_ghost.bone_solid); + DRW_draw_pass(stl->g_data->sgl_ghost.bone_wire); + DRW_draw_pass(stl->g_data->sgl_ghost.bone_outline); + DRW_draw_pass(stl->g_data->sgl_ghost.non_meshes); + DRW_draw_pass(stl->g_data->sgl_ghost.image_empties); + DRW_draw_pass(stl->g_data->sgl_ghost.bone_axes); + + if (DRW_state_is_select()) { + GPU_depth_range(0.0f, 1.0f); + } + } + + batch_camera_path_free(&stl->g_data->sgl_ghost.camera_path); + + DRW_draw_pass(psl->ob_center); } static const DrawEngineDataSize OBJECT_data_size = DRW_VIEWPORT_DATA_SIZE(OBJECT_Data); DrawEngineType draw_engine_object_type = { - NULL, NULL, - N_("ObjectMode"), - &OBJECT_data_size, - &OBJECT_engine_init, - &OBJECT_engine_free, - &OBJECT_cache_init, - &OBJECT_cache_populate, - &OBJECT_cache_finish, - NULL, - &OBJECT_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("ObjectMode"), + &OBJECT_data_size, + &OBJECT_engine_init, + &OBJECT_engine_free, + &OBJECT_cache_init, + &OBJECT_cache_populate, + &OBJECT_cache_finish, + NULL, + &OBJECT_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/overlay_mode.c b/source/blender/draw/modes/overlay_mode.c index f2cafd51666..4d583066f44 100644 --- a/source/blender/draw/modes/overlay_mode.c +++ b/source/blender/draw/modes/overlay_mode.c @@ -39,51 +39,51 @@ #include "draw_mode_engines.h" #ifdef __APPLE__ -#define USE_GEOM_SHADER_WORKAROUND 1 +# define USE_GEOM_SHADER_WORKAROUND 1 #else -#define USE_GEOM_SHADER_WORKAROUND 0 +# define USE_GEOM_SHADER_WORKAROUND 0 #endif /* Structures */ typedef struct OVERLAY_StorageList { - struct OVERLAY_PrivateData *g_data; + struct OVERLAY_PrivateData *g_data; } OVERLAY_StorageList; typedef struct OVERLAY_PassList { - struct DRWPass *face_orientation_pass; - struct DRWPass *face_wireframe_pass; + struct DRWPass *face_orientation_pass; + struct DRWPass *face_wireframe_pass; } OVERLAY_PassList; typedef struct OVERLAY_Data { - void *engine_type; - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - OVERLAY_PassList *psl; - OVERLAY_StorageList *stl; + void *engine_type; + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + OVERLAY_PassList *psl; + OVERLAY_StorageList *stl; } OVERLAY_Data; typedef struct OVERLAY_PrivateData { - DRWShadingGroup *face_orientation_shgrp; - DRWShadingGroup *face_wires_shgrp; - BLI_mempool *wire_color_mempool; - View3DOverlay overlay; - float wire_step_param; - bool ghost_stencil_test; - bool show_overlays; + DRWShadingGroup *face_orientation_shgrp; + DRWShadingGroup *face_wires_shgrp; + BLI_mempool *wire_color_mempool; + View3DOverlay overlay; + float wire_step_param; + bool ghost_stencil_test; + bool show_overlays; } OVERLAY_PrivateData; /* Transient data */ typedef struct OVERLAY_Shaders { - /* Face orientation shader */ - struct GPUShader *face_orientation; - /* Wireframe shader */ - struct GPUShader *select_wireframe; - struct GPUShader *face_wireframe; + /* Face orientation shader */ + struct GPUShader *face_orientation; + /* Wireframe shader */ + struct GPUShader *select_wireframe; + struct GPUShader *face_wireframe; } OVERLAY_Shaders; /* *********** STATIC *********** */ static struct { - OVERLAY_Shaders sh_data[GPU_SHADER_CFG_LEN]; + OVERLAY_Shaders sh_data[GPU_SHADER_CFG_LEN]; } e_data = {{{NULL}}}; /* Shaders */ @@ -98,404 +98,402 @@ extern char datatoc_gpu_shader_depth_only_frag_glsl[]; /* Functions */ static void overlay_engine_init(void *vedata) { - OVERLAY_Data *data = vedata; - OVERLAY_StorageList *stl = data->stl; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - OVERLAY_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - stl->g_data->ghost_stencil_test = false; - - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->face_orientation) { - /* Face orientation */ - sh_data->face_orientation = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_orientation_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_overlay_face_orientation_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - } - - if (!sh_data->face_wireframe) { - sh_data->select_wireframe = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_depth_only_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define SELECT_EDGES\n", NULL}, - }); + OVERLAY_Data *data = vedata; + OVERLAY_StorageList *stl = data->stl; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + OVERLAY_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + stl->g_data->ghost_stencil_test = false; + + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->face_orientation) { + /* Face orientation */ + sh_data->face_orientation = GPU_shader_create_from_arrays({ + .vert = + (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_orientation_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_overlay_face_orientation_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + } + + if (!sh_data->face_wireframe) { + sh_data->select_wireframe = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_depth_only_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define SELECT_EDGES\n", NULL}, + }); #if USE_GEOM_SHADER_WORKAROUND - /* Apple drivers does not support wide wires. Use geometry shader as a workaround. */ - sh_data->face_wireframe = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, - .geom = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_geom_glsl, NULL}, - .frag = (const char *[]){datatoc_overlay_face_wireframe_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define USE_GEOM\n", NULL}, - }); + /* Apple drivers does not support wide wires. Use geometry shader as a workaround. */ + sh_data->face_wireframe = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, + .geom = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_geom_glsl, NULL}, + .frag = (const char *[]){datatoc_overlay_face_wireframe_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define USE_GEOM\n", NULL}, + }); #else - sh_data->face_wireframe = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_overlay_face_wireframe_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); + sh_data->face_wireframe = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_overlay_face_wireframe_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_overlay_face_wireframe_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); #endif - } + } } static void overlay_cache_init(void *vedata) { - OVERLAY_Data *data = vedata; - OVERLAY_PassList *psl = data->psl; - OVERLAY_StorageList *stl = data->stl; - OVERLAY_PrivateData *g_data = stl->g_data; - - const DRWContextState *draw_ctx = DRW_context_state_get(); - RegionView3D *rv3d = draw_ctx->rv3d; - OVERLAY_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - const DRWContextState *DCS = DRW_context_state_get(); - - View3D *v3d = DCS->v3d; - if (v3d) { - g_data->overlay = v3d->overlay; - g_data->show_overlays = (v3d->flag2 & V3D_HIDE_OVERLAYS) == 0; - } - else { - memset(&g_data->overlay, 0, sizeof(g_data->overlay)); - g_data->show_overlays = false; - } - - if (g_data->show_overlays == false) { - g_data->overlay.flag = 0; - } - - if (v3d->shading.type == OB_WIRE) { - g_data->overlay.flag |= V3D_OVERLAY_WIREFRAMES; - - if (ELEM(v3d->shading.wire_color_type, - V3D_SHADING_OBJECT_COLOR, - V3D_SHADING_RANDOM_COLOR)) - { - g_data->wire_color_mempool = BLI_mempool_create(sizeof(float[3]), 0, 512, 0); - } - } - - { - /* Face Orientation Pass */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND; - psl->face_orientation_pass = DRW_pass_create("Face Orientation", state); - g_data->face_orientation_shgrp = DRW_shgroup_create( - sh_data->face_orientation, psl->face_orientation_pass); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(g_data->face_orientation_shgrp, rv3d); - } - } - - { - /* Wireframe */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | - DRW_STATE_FIRST_VERTEX_CONVENTION | DRW_STATE_OFFSET_NEGATIVE; - float wire_size = U.pixelsize * 0.5f; - - float winmat[4][4]; - float viewdist = rv3d->dist; - DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); - /* special exception for ortho camera (viewdist isnt used for perspective cameras) */ - if (rv3d->persp == RV3D_CAMOB && rv3d->is_persp == false) { - viewdist = 1.0f / max_ff(fabsf(rv3d->winmat[0][0]), fabsf(rv3d->winmat[1][1])); - } - const float depth_ofs = bglPolygonOffsetCalc((float *)winmat, viewdist, 1.0f); - - const bool use_select = (DRW_state_is_select() || DRW_state_is_depth()); - GPUShader *face_wires_sh = use_select ? sh_data->select_wireframe : sh_data->face_wireframe; - - psl->face_wireframe_pass = DRW_pass_create("Face Wires", state); - - g_data->face_wires_shgrp = DRW_shgroup_create(face_wires_sh, psl->face_wireframe_pass); - DRW_shgroup_uniform_float(g_data->face_wires_shgrp, "wireStepParam", &g_data->wire_step_param, 1); - DRW_shgroup_uniform_float_copy(g_data->face_wires_shgrp, "ofs", depth_ofs); - if (use_select || USE_GEOM_SHADER_WORKAROUND) { - DRW_shgroup_uniform_float_copy(g_data->face_wires_shgrp, "wireSize", wire_size); - DRW_shgroup_uniform_vec2(g_data->face_wires_shgrp, "viewportSize", DRW_viewport_size_get(), 1); - DRW_shgroup_uniform_vec2(g_data->face_wires_shgrp, "viewportSizeInv", DRW_viewport_invert_size_get(), 1); - } - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(g_data->face_wires_shgrp, rv3d); - } - - g_data->wire_step_param = stl->g_data->overlay.wireframe_threshold - 254.0f / 255.0f; - } + OVERLAY_Data *data = vedata; + OVERLAY_PassList *psl = data->psl; + OVERLAY_StorageList *stl = data->stl; + OVERLAY_PrivateData *g_data = stl->g_data; + + const DRWContextState *draw_ctx = DRW_context_state_get(); + RegionView3D *rv3d = draw_ctx->rv3d; + OVERLAY_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + const DRWContextState *DCS = DRW_context_state_get(); + + View3D *v3d = DCS->v3d; + if (v3d) { + g_data->overlay = v3d->overlay; + g_data->show_overlays = (v3d->flag2 & V3D_HIDE_OVERLAYS) == 0; + } + else { + memset(&g_data->overlay, 0, sizeof(g_data->overlay)); + g_data->show_overlays = false; + } + + if (g_data->show_overlays == false) { + g_data->overlay.flag = 0; + } + + if (v3d->shading.type == OB_WIRE) { + g_data->overlay.flag |= V3D_OVERLAY_WIREFRAMES; + + if (ELEM(v3d->shading.wire_color_type, V3D_SHADING_OBJECT_COLOR, V3D_SHADING_RANDOM_COLOR)) { + g_data->wire_color_mempool = BLI_mempool_create(sizeof(float[3]), 0, 512, 0); + } + } + + { + /* Face Orientation Pass */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND; + psl->face_orientation_pass = DRW_pass_create("Face Orientation", state); + g_data->face_orientation_shgrp = DRW_shgroup_create(sh_data->face_orientation, + psl->face_orientation_pass); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(g_data->face_orientation_shgrp, rv3d); + } + } + + { + /* Wireframe */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS | + DRW_STATE_FIRST_VERTEX_CONVENTION | DRW_STATE_OFFSET_NEGATIVE; + float wire_size = U.pixelsize * 0.5f; + + float winmat[4][4]; + float viewdist = rv3d->dist; + DRW_viewport_matrix_get(winmat, DRW_MAT_WIN); + /* special exception for ortho camera (viewdist isnt used for perspective cameras) */ + if (rv3d->persp == RV3D_CAMOB && rv3d->is_persp == false) { + viewdist = 1.0f / max_ff(fabsf(rv3d->winmat[0][0]), fabsf(rv3d->winmat[1][1])); + } + const float depth_ofs = bglPolygonOffsetCalc((float *)winmat, viewdist, 1.0f); + + const bool use_select = (DRW_state_is_select() || DRW_state_is_depth()); + GPUShader *face_wires_sh = use_select ? sh_data->select_wireframe : sh_data->face_wireframe; + + psl->face_wireframe_pass = DRW_pass_create("Face Wires", state); + + g_data->face_wires_shgrp = DRW_shgroup_create(face_wires_sh, psl->face_wireframe_pass); + DRW_shgroup_uniform_float( + g_data->face_wires_shgrp, "wireStepParam", &g_data->wire_step_param, 1); + DRW_shgroup_uniform_float_copy(g_data->face_wires_shgrp, "ofs", depth_ofs); + if (use_select || USE_GEOM_SHADER_WORKAROUND) { + DRW_shgroup_uniform_float_copy(g_data->face_wires_shgrp, "wireSize", wire_size); + DRW_shgroup_uniform_vec2( + g_data->face_wires_shgrp, "viewportSize", DRW_viewport_size_get(), 1); + DRW_shgroup_uniform_vec2( + g_data->face_wires_shgrp, "viewportSizeInv", DRW_viewport_invert_size_get(), 1); + } + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(g_data->face_wires_shgrp, rv3d); + } + + g_data->wire_step_param = stl->g_data->overlay.wireframe_threshold - 254.0f / 255.0f; + } } -static void overlay_wire_color_get( - const View3D *v3d, const OVERLAY_PrivateData *pd, const Object *ob, const bool use_coloring, - float **rim_col, float **wire_col) +static void overlay_wire_color_get(const View3D *v3d, + const OVERLAY_PrivateData *pd, + const Object *ob, + const bool use_coloring, + float **rim_col, + float **wire_col) { #ifndef NDEBUG - *rim_col = NULL; - *wire_col = NULL; + *rim_col = NULL; + *wire_col = NULL; #endif - const DRWContextState *draw_ctx = DRW_context_state_get(); - - if (UNLIKELY(ob->base_flag & BASE_FROM_SET)) { - *rim_col = G_draw.block.colorDupli; - *wire_col = G_draw.block.colorDupli; - } - else if (UNLIKELY(ob->base_flag & BASE_FROM_DUPLI)) { - if (ob->base_flag & BASE_SELECTED) { - if (G.moving & G_TRANSFORM_OBJ) { - *rim_col = G_draw.block.colorTransform; - } - else { - *rim_col = G_draw.block.colorDupliSelect; - } - } - else { - *rim_col = G_draw.block.colorDupli; - } - *wire_col = G_draw.block.colorDupli; - } - else if ((ob->base_flag & BASE_SELECTED) && use_coloring) { - if (G.moving & G_TRANSFORM_OBJ) { - *rim_col = G_draw.block.colorTransform; - } - else if (ob == draw_ctx->obact) { - *rim_col = G_draw.block.colorActive; - } - else { - *rim_col = G_draw.block.colorSelect; - } - *wire_col = G_draw.block.colorWire; - } - else { - *rim_col = G_draw.block.colorWire; - *wire_col = G_draw.block.colorBackground; - } - - if (v3d->shading.type == OB_WIRE) { - if (ELEM(v3d->shading.wire_color_type, - V3D_SHADING_OBJECT_COLOR, - V3D_SHADING_RANDOM_COLOR)) - { - *wire_col = BLI_mempool_alloc(pd->wire_color_mempool); - *rim_col = BLI_mempool_alloc(pd->wire_color_mempool); - - if (v3d->shading.wire_color_type == V3D_SHADING_OBJECT_COLOR) { - linearrgb_to_srgb_v3_v3(*wire_col, ob->color); - mul_v3_fl(*wire_col, 0.5f); - copy_v3_v3(*rim_col, *wire_col); - } - else { - uint hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); - if (ob->id.lib) { - hash = (hash * 13) ^ BLI_ghashutil_strhash_p_murmur(ob->id.lib->name); - } - - float hue = BLI_hash_int_01(hash); - float hsv[3] = {hue, 0.75f, 0.8f}; - hsv_to_rgb_v(hsv, *wire_col); - copy_v3_v3(*rim_col, *wire_col); - } - - if ((ob->base_flag & BASE_SELECTED) && use_coloring) { - /* "Normalize" color. */ - add_v3_fl(*wire_col, 1e-4f); - float brightness = max_fff((*wire_col)[0], (*wire_col)[1], (*wire_col)[2]); - mul_v3_fl(*wire_col, (0.5f / brightness)); - add_v3_fl(*rim_col, 0.75f); - } - else { - mul_v3_fl(*rim_col, 0.5f); - add_v3_fl(*wire_col, 0.5f); - } - } - } - BLI_assert(*rim_col && *wire_col); + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (UNLIKELY(ob->base_flag & BASE_FROM_SET)) { + *rim_col = G_draw.block.colorDupli; + *wire_col = G_draw.block.colorDupli; + } + else if (UNLIKELY(ob->base_flag & BASE_FROM_DUPLI)) { + if (ob->base_flag & BASE_SELECTED) { + if (G.moving & G_TRANSFORM_OBJ) { + *rim_col = G_draw.block.colorTransform; + } + else { + *rim_col = G_draw.block.colorDupliSelect; + } + } + else { + *rim_col = G_draw.block.colorDupli; + } + *wire_col = G_draw.block.colorDupli; + } + else if ((ob->base_flag & BASE_SELECTED) && use_coloring) { + if (G.moving & G_TRANSFORM_OBJ) { + *rim_col = G_draw.block.colorTransform; + } + else if (ob == draw_ctx->obact) { + *rim_col = G_draw.block.colorActive; + } + else { + *rim_col = G_draw.block.colorSelect; + } + *wire_col = G_draw.block.colorWire; + } + else { + *rim_col = G_draw.block.colorWire; + *wire_col = G_draw.block.colorBackground; + } + + if (v3d->shading.type == OB_WIRE) { + if (ELEM(v3d->shading.wire_color_type, V3D_SHADING_OBJECT_COLOR, V3D_SHADING_RANDOM_COLOR)) { + *wire_col = BLI_mempool_alloc(pd->wire_color_mempool); + *rim_col = BLI_mempool_alloc(pd->wire_color_mempool); + + if (v3d->shading.wire_color_type == V3D_SHADING_OBJECT_COLOR) { + linearrgb_to_srgb_v3_v3(*wire_col, ob->color); + mul_v3_fl(*wire_col, 0.5f); + copy_v3_v3(*rim_col, *wire_col); + } + else { + uint hash = BLI_ghashutil_strhash_p_murmur(ob->id.name); + if (ob->id.lib) { + hash = (hash * 13) ^ BLI_ghashutil_strhash_p_murmur(ob->id.lib->name); + } + + float hue = BLI_hash_int_01(hash); + float hsv[3] = {hue, 0.75f, 0.8f}; + hsv_to_rgb_v(hsv, *wire_col); + copy_v3_v3(*rim_col, *wire_col); + } + + if ((ob->base_flag & BASE_SELECTED) && use_coloring) { + /* "Normalize" color. */ + add_v3_fl(*wire_col, 1e-4f); + float brightness = max_fff((*wire_col)[0], (*wire_col)[1], (*wire_col)[2]); + mul_v3_fl(*wire_col, (0.5f / brightness)); + add_v3_fl(*rim_col, 0.75f); + } + else { + mul_v3_fl(*rim_col, 0.5f); + add_v3_fl(*wire_col, 0.5f); + } + } + } + BLI_assert(*rim_col && *wire_col); } static void overlay_cache_populate(void *vedata, Object *ob) { - OVERLAY_Data *data = vedata; - OVERLAY_StorageList *stl = data->stl; - OVERLAY_PrivateData *pd = stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - if ((ob->dt < OB_WIRE) || - (!DRW_object_is_renderable(ob) && (ob->dt != OB_WIRE))) - { - return; - } - - if (DRW_object_is_renderable(ob) && pd->overlay.flag & V3D_OVERLAY_FACE_ORIENTATION) { - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - DRW_shgroup_call_add(pd->face_orientation_shgrp, geom, ob->obmat); - } - } - - if ((pd->overlay.flag & V3D_OVERLAY_WIREFRAMES) || - (v3d->shading.type == OB_WIRE) || - (ob->dtx & OB_DRAWWIRE) || - (ob->dt == OB_WIRE)) - { - const bool is_edit_mode = BKE_object_is_in_editmode(ob); - bool has_edit_mesh_cage = false; - if (ob->type == OB_MESH) { - /* TODO: Should be its own function. */ - Mesh *me = (Mesh *)ob->data; - BMEditMesh *embm = me->edit_mesh; - if (embm) { - has_edit_mesh_cage = embm->mesh_eval_cage && (embm->mesh_eval_cage != embm->mesh_eval_final); - } - } - - /* Don't do that in edit Mesh mode, unless there is a modifier preview. */ - if ((!pd->show_overlays) || (((ob != draw_ctx->object_edit) && !is_edit_mode) || has_edit_mesh_cage) || - ob->type != OB_MESH) - { - const bool is_active = (ob == draw_ctx->obact); - const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; - const bool all_wires = (ob->dtx & OB_DRAW_ALL_EDGES); - const bool is_wire = (ob->dt < OB_SOLID); - const bool use_coloring = (pd->show_overlays && !is_edit_mode && !is_sculpt_mode && !has_edit_mesh_cage); - const int stencil_mask = (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF; - float *rim_col, *wire_col; - DRWShadingGroup *shgrp = NULL; - - overlay_wire_color_get(v3d, pd, ob, use_coloring, &rim_col, &wire_col); - - struct GPUBatch *geom; - geom = DRW_cache_object_face_wireframe_get(ob); - - if (geom || is_sculpt_mode) { - shgrp = DRW_shgroup_create_sub(pd->face_wires_shgrp); - - float wire_step_param = 10.0f; - if (!is_sculpt_mode) { - wire_step_param = (all_wires) ? 1.0f : pd->wire_step_param; - } - DRW_shgroup_uniform_float_copy(shgrp, "wireStepParam", wire_step_param); - - if (!(DRW_state_is_select() || DRW_state_is_depth())) { - DRW_shgroup_stencil_mask(shgrp, stencil_mask); - DRW_shgroup_uniform_vec3(shgrp, "wireColor", wire_col, 1); - DRW_shgroup_uniform_vec3(shgrp, "rimColor", rim_col, 1); - } - - if (is_sculpt_mode) { - DRW_shgroup_call_sculpt_wires_add(shgrp, ob, ob->obmat); - } - else { - DRW_shgroup_call_add(shgrp, geom, ob->obmat); - } - } - if (is_wire && shgrp != NULL) { - /* If object is wireframe, don't try to use stencil test. */ - DRW_shgroup_state_disable(shgrp, DRW_STATE_STENCIL_EQUAL); - - if (ob->dtx & OB_DRAWXRAY) { - DRW_shgroup_state_disable(shgrp, DRW_STATE_DEPTH_LESS_EQUAL); - } - } - else if ((ob->dtx & OB_DRAWXRAY) && shgrp != NULL) { - pd->ghost_stencil_test = true; - } - } - } + OVERLAY_Data *data = vedata; + OVERLAY_StorageList *stl = data->stl; + OVERLAY_PrivateData *pd = stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + if ((ob->dt < OB_WIRE) || (!DRW_object_is_renderable(ob) && (ob->dt != OB_WIRE))) { + return; + } + + if (DRW_object_is_renderable(ob) && pd->overlay.flag & V3D_OVERLAY_FACE_ORIENTATION) { + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + DRW_shgroup_call_add(pd->face_orientation_shgrp, geom, ob->obmat); + } + } + + if ((pd->overlay.flag & V3D_OVERLAY_WIREFRAMES) || (v3d->shading.type == OB_WIRE) || + (ob->dtx & OB_DRAWWIRE) || (ob->dt == OB_WIRE)) { + const bool is_edit_mode = BKE_object_is_in_editmode(ob); + bool has_edit_mesh_cage = false; + if (ob->type == OB_MESH) { + /* TODO: Should be its own function. */ + Mesh *me = (Mesh *)ob->data; + BMEditMesh *embm = me->edit_mesh; + if (embm) { + has_edit_mesh_cage = embm->mesh_eval_cage && + (embm->mesh_eval_cage != embm->mesh_eval_final); + } + } + + /* Don't do that in edit Mesh mode, unless there is a modifier preview. */ + if ((!pd->show_overlays) || + (((ob != draw_ctx->object_edit) && !is_edit_mode) || has_edit_mesh_cage) || + ob->type != OB_MESH) { + const bool is_active = (ob == draw_ctx->obact); + const bool is_sculpt_mode = is_active && (draw_ctx->object_mode & OB_MODE_SCULPT) != 0; + const bool all_wires = (ob->dtx & OB_DRAW_ALL_EDGES); + const bool is_wire = (ob->dt < OB_SOLID); + const bool use_coloring = (pd->show_overlays && !is_edit_mode && !is_sculpt_mode && + !has_edit_mesh_cage); + const int stencil_mask = (ob->dtx & OB_DRAWXRAY) ? 0x00 : 0xFF; + float *rim_col, *wire_col; + DRWShadingGroup *shgrp = NULL; + + overlay_wire_color_get(v3d, pd, ob, use_coloring, &rim_col, &wire_col); + + struct GPUBatch *geom; + geom = DRW_cache_object_face_wireframe_get(ob); + + if (geom || is_sculpt_mode) { + shgrp = DRW_shgroup_create_sub(pd->face_wires_shgrp); + + float wire_step_param = 10.0f; + if (!is_sculpt_mode) { + wire_step_param = (all_wires) ? 1.0f : pd->wire_step_param; + } + DRW_shgroup_uniform_float_copy(shgrp, "wireStepParam", wire_step_param); + + if (!(DRW_state_is_select() || DRW_state_is_depth())) { + DRW_shgroup_stencil_mask(shgrp, stencil_mask); + DRW_shgroup_uniform_vec3(shgrp, "wireColor", wire_col, 1); + DRW_shgroup_uniform_vec3(shgrp, "rimColor", rim_col, 1); + } + + if (is_sculpt_mode) { + DRW_shgroup_call_sculpt_wires_add(shgrp, ob, ob->obmat); + } + else { + DRW_shgroup_call_add(shgrp, geom, ob->obmat); + } + } + if (is_wire && shgrp != NULL) { + /* If object is wireframe, don't try to use stencil test. */ + DRW_shgroup_state_disable(shgrp, DRW_STATE_STENCIL_EQUAL); + + if (ob->dtx & OB_DRAWXRAY) { + DRW_shgroup_state_disable(shgrp, DRW_STATE_DEPTH_LESS_EQUAL); + } + } + else if ((ob->dtx & OB_DRAWXRAY) && shgrp != NULL) { + pd->ghost_stencil_test = true; + } + } + } } static void overlay_cache_finish(void *vedata) { - OVERLAY_Data *data = vedata; - OVERLAY_PassList *psl = data->psl; - OVERLAY_StorageList *stl = data->stl; - - const DRWContextState *ctx = DRW_context_state_get(); - View3D *v3d = ctx->v3d; - - /* only in solid mode */ - if (v3d->shading.type == OB_SOLID && !XRAY_FLAG_ENABLED(v3d)) { - if (stl->g_data->ghost_stencil_test) { - DRW_pass_state_add(psl->face_wireframe_pass, DRW_STATE_STENCIL_EQUAL); - } - } + OVERLAY_Data *data = vedata; + OVERLAY_PassList *psl = data->psl; + OVERLAY_StorageList *stl = data->stl; + + const DRWContextState *ctx = DRW_context_state_get(); + View3D *v3d = ctx->v3d; + + /* only in solid mode */ + if (v3d->shading.type == OB_SOLID && !XRAY_FLAG_ENABLED(v3d)) { + if (stl->g_data->ghost_stencil_test) { + DRW_pass_state_add(psl->face_wireframe_pass, DRW_STATE_STENCIL_EQUAL); + } + } } static void overlay_draw_scene(void *vedata) { - OVERLAY_Data *data = vedata; - OVERLAY_PassList *psl = data->psl; - OVERLAY_StorageList *stl = data->stl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - - if (DRW_state_is_fbo()) { - GPU_framebuffer_bind(dfbl->default_fb); - } - DRW_draw_pass(psl->face_orientation_pass); - - /* This is replaced by the next code block */ - // MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - - if (dfbl->multisample_fb != NULL) { - DRW_stats_query_start("Multisample Blit"); - GPU_framebuffer_bind(dfbl->multisample_fb); - GPU_framebuffer_clear_color(dfbl->multisample_fb, (const float[4]){0.0f}); - /* Special blit: we need the original depth and stencil - * in the Multisample buffer. */ - GPU_framebuffer_blit(dfbl->default_fb, 0, - dfbl->multisample_fb, 0, - GPU_DEPTH_BIT | GPU_STENCIL_BIT); - DRW_stats_query_end(); - } - - DRW_draw_pass(psl->face_wireframe_pass); - - /* TODO(fclem): find a way to unify the multisample pass together - * (non meshes + armature + wireframe) */ - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - - /* XXX TODO(fclem) do not discard data after drawing! Store them per viewport. */ - if (stl->g_data->wire_color_mempool) { - BLI_mempool_destroy(stl->g_data->wire_color_mempool); - stl->g_data->wire_color_mempool = NULL; - } + OVERLAY_Data *data = vedata; + OVERLAY_PassList *psl = data->psl; + OVERLAY_StorageList *stl = data->stl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + + if (DRW_state_is_fbo()) { + GPU_framebuffer_bind(dfbl->default_fb); + } + DRW_draw_pass(psl->face_orientation_pass); + + /* This is replaced by the next code block */ + // MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + + if (dfbl->multisample_fb != NULL) { + DRW_stats_query_start("Multisample Blit"); + GPU_framebuffer_bind(dfbl->multisample_fb); + GPU_framebuffer_clear_color(dfbl->multisample_fb, (const float[4]){0.0f}); + /* Special blit: we need the original depth and stencil + * in the Multisample buffer. */ + GPU_framebuffer_blit( + dfbl->default_fb, 0, dfbl->multisample_fb, 0, GPU_DEPTH_BIT | GPU_STENCIL_BIT); + DRW_stats_query_end(); + } + + DRW_draw_pass(psl->face_wireframe_pass); + + /* TODO(fclem): find a way to unify the multisample pass together + * (non meshes + armature + wireframe) */ + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + + /* XXX TODO(fclem) do not discard data after drawing! Store them per viewport. */ + if (stl->g_data->wire_color_mempool) { + BLI_mempool_destroy(stl->g_data->wire_color_mempool); + stl->g_data->wire_color_mempool = NULL; + } } static void overlay_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - OVERLAY_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(OVERLAY_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + OVERLAY_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(OVERLAY_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } static const DrawEngineDataSize overlay_data_size = DRW_VIEWPORT_DATA_SIZE(OVERLAY_Data); DrawEngineType draw_engine_overlay_type = { - NULL, NULL, - N_("OverlayEngine"), - &overlay_data_size, - &overlay_engine_init, - &overlay_engine_free, - &overlay_cache_init, - &overlay_cache_populate, - &overlay_cache_finish, - NULL, - &overlay_draw_scene, - NULL, - NULL, - NULL, + NULL, + NULL, + N_("OverlayEngine"), + &overlay_data_size, + &overlay_engine_init, + &overlay_engine_free, + &overlay_cache_init, + &overlay_cache_populate, + &overlay_cache_finish, + NULL, + &overlay_draw_scene, + NULL, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/paint_texture_mode.c b/source/blender/draw/modes/paint_texture_mode.c index 83dfdd3284f..84852ff7ab3 100644 --- a/source/blender/draw/modes/paint_texture_mode.c +++ b/source/blender/draw/modes/paint_texture_mode.c @@ -55,72 +55,72 @@ extern char datatoc_gpu_shader_uniform_color_frag_glsl[]; * for PAINT_TEXTURE_PassList */ typedef struct PAINT_TEXTURE_PassList { - /* Declare all passes here and init them in - * PAINT_TEXTURE_cache_init(). - * Only contains (DRWPass *) */ - struct DRWPass *image_faces; + /* Declare all passes here and init them in + * PAINT_TEXTURE_cache_init(). + * Only contains (DRWPass *) */ + struct DRWPass *image_faces; - struct DRWPass *wire_overlay; - struct DRWPass *face_overlay; + struct DRWPass *wire_overlay; + struct DRWPass *face_overlay; } PAINT_TEXTURE_PassList; typedef struct PAINT_TEXTURE_FramebufferList { - /* Contains all framebuffer objects needed by this engine. - * Only contains (GPUFrameBuffer *) */ - struct GPUFrameBuffer *fb; + /* Contains all framebuffer objects needed by this engine. + * Only contains (GPUFrameBuffer *) */ + struct GPUFrameBuffer *fb; } PAINT_TEXTURE_FramebufferList; typedef struct PAINT_TEXTURE_TextureList { - /* Contains all framebuffer textures / utility textures - * needed by this engine. Only viewport specific textures - * (not per object). Only contains (GPUTexture *) */ - struct GPUTexture *texture; + /* Contains all framebuffer textures / utility textures + * needed by this engine. Only viewport specific textures + * (not per object). Only contains (GPUTexture *) */ + struct GPUTexture *texture; } PAINT_TEXTURE_TextureList; typedef struct PAINT_TEXTURE_StorageList { - /* Contains any other memory block that the engine needs. - * Only directly MEM_(m/c)allocN'ed blocks because they are - * free with MEM_freeN() when viewport is freed. - * (not per object) */ - struct CustomStruct *block; - struct PAINT_TEXTURE_PrivateData *g_data; + /* Contains any other memory block that the engine needs. + * Only directly MEM_(m/c)allocN'ed blocks because they are + * free with MEM_freeN() when viewport is freed. + * (not per object) */ + struct CustomStruct *block; + struct PAINT_TEXTURE_PrivateData *g_data; } PAINT_TEXTURE_StorageList; typedef struct PAINT_TEXTURE_Data { - /* Struct returned by DRW_viewport_engine_data_ensure. - * If you don't use one of these, just make it a (void *) */ - // void *fbl; - void *engine_type; /* Required */ - PAINT_TEXTURE_FramebufferList *fbl; - PAINT_TEXTURE_TextureList *txl; - PAINT_TEXTURE_PassList *psl; - PAINT_TEXTURE_StorageList *stl; + /* Struct returned by DRW_viewport_engine_data_ensure. + * If you don't use one of these, just make it a (void *) */ + // void *fbl; + void *engine_type; /* Required */ + PAINT_TEXTURE_FramebufferList *fbl; + PAINT_TEXTURE_TextureList *txl; + PAINT_TEXTURE_PassList *psl; + PAINT_TEXTURE_StorageList *stl; } PAINT_TEXTURE_Data; /* *********** STATIC *********** */ static struct { - /* Custom shaders : - * Add sources to source/blender/draw/modes/shaders - * init in PAINT_TEXTURE_engine_init(); - * free in PAINT_TEXTURE_engine_free(); */ - struct GPUShader *fallback_sh; - struct GPUShader *image_sh; - struct GPUShader *image_masking_sh; - - struct GPUShader *wire_overlay_shader; - struct GPUShader *face_overlay_shader; + /* Custom shaders : + * Add sources to source/blender/draw/modes/shaders + * init in PAINT_TEXTURE_engine_init(); + * free in PAINT_TEXTURE_engine_free(); */ + struct GPUShader *fallback_sh; + struct GPUShader *image_sh; + struct GPUShader *image_masking_sh; + + struct GPUShader *wire_overlay_shader; + struct GPUShader *face_overlay_shader; } e_data = {NULL}; /* Engine data */ typedef struct PAINT_TEXTURE_PrivateData { - /* This keeps the references of the shading groups for - * easy access in PAINT_TEXTURE_cache_populate() */ - DRWShadingGroup *shgroup_fallback; - DRWShadingGroup **shgroup_image_array; - - /* face-mask */ - DRWShadingGroup *lwire_shgrp; - DRWShadingGroup *face_shgrp; + /* This keeps the references of the shading groups for + * easy access in PAINT_TEXTURE_cache_populate() */ + DRWShadingGroup *shgroup_fallback; + DRWShadingGroup **shgroup_image_array; + + /* face-mask */ + DRWShadingGroup *lwire_shgrp; + DRWShadingGroup *face_shgrp; } PAINT_TEXTURE_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ @@ -129,235 +129,246 @@ typedef struct PAINT_TEXTURE_PrivateData { * It is called for every frames. */ static void PAINT_TEXTURE_engine_init(void *UNUSED(vedata)) { - if (!e_data.fallback_sh) { - e_data.fallback_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - - e_data.image_sh = DRW_shader_create_with_lib( - datatoc_paint_texture_vert_glsl, NULL, - datatoc_paint_texture_frag_glsl, - datatoc_common_globals_lib_glsl, NULL); - - e_data.image_masking_sh = DRW_shader_create_with_lib( - datatoc_paint_texture_vert_glsl, NULL, - datatoc_paint_texture_frag_glsl, - datatoc_common_globals_lib_glsl, - "#define TEXTURE_PAINT_MASK\n"); - - e_data.wire_overlay_shader = DRW_shader_create_with_lib( - datatoc_paint_wire_vert_glsl, NULL, - datatoc_paint_wire_frag_glsl, - datatoc_common_globals_lib_glsl, - "#define VERTEX_MODE\n"); - - e_data.face_overlay_shader = DRW_shader_create( - datatoc_paint_face_vert_glsl, NULL, - datatoc_gpu_shader_uniform_color_frag_glsl, NULL); - } + if (!e_data.fallback_sh) { + e_data.fallback_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + + e_data.image_sh = DRW_shader_create_with_lib(datatoc_paint_texture_vert_glsl, + NULL, + datatoc_paint_texture_frag_glsl, + datatoc_common_globals_lib_glsl, + NULL); + + e_data.image_masking_sh = DRW_shader_create_with_lib(datatoc_paint_texture_vert_glsl, + NULL, + datatoc_paint_texture_frag_glsl, + datatoc_common_globals_lib_glsl, + "#define TEXTURE_PAINT_MASK\n"); + + e_data.wire_overlay_shader = DRW_shader_create_with_lib(datatoc_paint_wire_vert_glsl, + NULL, + datatoc_paint_wire_frag_glsl, + datatoc_common_globals_lib_glsl, + "#define VERTEX_MODE\n"); + + e_data.face_overlay_shader = DRW_shader_create( + datatoc_paint_face_vert_glsl, NULL, datatoc_gpu_shader_uniform_color_frag_glsl, NULL); + } } -static DRWShadingGroup *create_texture_paint_shading_group( - PAINT_TEXTURE_PassList *psl, const struct GPUTexture *texture, const DRWContextState *draw_ctx, const bool nearest_interp) +static DRWShadingGroup *create_texture_paint_shading_group(PAINT_TEXTURE_PassList *psl, + const struct GPUTexture *texture, + const DRWContextState *draw_ctx, + const bool nearest_interp) { - Scene *scene = draw_ctx->scene; - const ImagePaintSettings *imapaint = &scene->toolsettings->imapaint; - const bool masking_enabled = imapaint->flag & IMAGEPAINT_PROJECT_LAYER_STENCIL && imapaint->stencil != NULL; - - DRWShadingGroup *grp = DRW_shgroup_create( - masking_enabled ? e_data.image_masking_sh : e_data.image_sh, psl->image_faces); - DRW_shgroup_uniform_texture(grp, "image", texture); - DRW_shgroup_uniform_float(grp, "alpha", &draw_ctx->v3d->overlay.texture_paint_mode_opacity, 1); - DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_bool_copy(grp, "nearestInterp", nearest_interp); - - if (masking_enabled) { - const bool masking_inverted = (imapaint->flag & IMAGEPAINT_PROJECT_LAYER_STENCIL_INV) > 0; - GPUTexture *stencil = GPU_texture_from_blender(imapaint->stencil, NULL, GL_TEXTURE_2D, false); - DRW_shgroup_uniform_texture(grp, "maskingImage", stencil); - DRW_shgroup_uniform_vec3(grp, "maskingColor", imapaint->stencil_col, 1); - DRW_shgroup_uniform_bool_copy(grp, "maskingInvertStencil", masking_inverted); - } - return grp; + Scene *scene = draw_ctx->scene; + const ImagePaintSettings *imapaint = &scene->toolsettings->imapaint; + const bool masking_enabled = imapaint->flag & IMAGEPAINT_PROJECT_LAYER_STENCIL && + imapaint->stencil != NULL; + + DRWShadingGroup *grp = DRW_shgroup_create( + masking_enabled ? e_data.image_masking_sh : e_data.image_sh, psl->image_faces); + DRW_shgroup_uniform_texture(grp, "image", texture); + DRW_shgroup_uniform_float(grp, "alpha", &draw_ctx->v3d->overlay.texture_paint_mode_opacity, 1); + DRW_shgroup_uniform_block(grp, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_bool_copy(grp, "nearestInterp", nearest_interp); + + if (masking_enabled) { + const bool masking_inverted = (imapaint->flag & IMAGEPAINT_PROJECT_LAYER_STENCIL_INV) > 0; + GPUTexture *stencil = GPU_texture_from_blender(imapaint->stencil, NULL, GL_TEXTURE_2D, false); + DRW_shgroup_uniform_texture(grp, "maskingImage", stencil); + DRW_shgroup_uniform_vec3(grp, "maskingColor", imapaint->stencil_col, 1); + DRW_shgroup_uniform_bool_copy(grp, "maskingInvertStencil", masking_inverted); + } + return grp; } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void PAINT_TEXTURE_cache_init(void *vedata) { - PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; - PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - stl->g_data->shgroup_image_array = NULL; - } - - { - /* Create a pass */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND; - psl->image_faces = DRW_pass_create("Image Color Pass", state); - - stl->g_data->shgroup_fallback = DRW_shgroup_create(e_data.fallback_sh, psl->image_faces); - - /* Uniforms need a pointer to it's value so be sure it's accessible at - * any given time (i.e. use static vars) */ - static float color[4] = {1.0f, 0.0f, 1.0f, 1.0}; - DRW_shgroup_uniform_vec4(stl->g_data->shgroup_fallback, "color", color, 1); - - MEM_SAFE_FREE(stl->g_data->shgroup_image_array); - - const DRWContextState *draw_ctx = DRW_context_state_get(); - Object *ob = draw_ctx->obact; - if (ob && ob->type == OB_MESH) { - Scene *scene = draw_ctx->scene; - const ImagePaintSettings *imapaint = &scene->toolsettings->imapaint; - const bool use_material_slots = (imapaint->mode == IMAGEPAINT_MODE_MATERIAL); - const Mesh *me = ob->data; - const int mat_nr = max_ii(1, me->totcol); - - stl->g_data->shgroup_image_array = MEM_mallocN( - sizeof(*stl->g_data->shgroup_image_array) * (use_material_slots ? mat_nr : 1), __func__); - - if (use_material_slots) { - for (int i = 0; i < mat_nr; i++) { - Material *ma = give_current_material(ob, i + 1); - Image *ima = (ma && ma->texpaintslot) ? ma->texpaintslot[ma->paint_active_slot].ima : NULL; - int interp = (ma && ma->texpaintslot) ? ma->texpaintslot[ma->paint_active_slot].interp : 0; - GPUTexture *tex = GPU_texture_from_blender(ima, NULL, GL_TEXTURE_2D, false); - - if (tex) { - DRWShadingGroup *grp = create_texture_paint_shading_group(psl, tex, draw_ctx, interp == SHD_INTERP_CLOSEST); - stl->g_data->shgroup_image_array[i] = grp; - } - else { - stl->g_data->shgroup_image_array[i] = NULL; - } - } - } - else { - Image *ima = imapaint->canvas; - GPUTexture *tex = GPU_texture_from_blender(ima, NULL, GL_TEXTURE_2D, false); - - if (tex) { - DRWShadingGroup *grp = create_texture_paint_shading_group(psl, tex, draw_ctx, imapaint->interp == IMAGEPAINT_INTERP_CLOSEST); - stl->g_data->shgroup_image_array[0] = grp; - } - else { - stl->g_data->shgroup_image_array[0] = NULL; - } - } - } - } - - /* Face Mask */ - { - psl->wire_overlay = DRW_pass_create( - "Wire Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); - - stl->g_data->lwire_shgrp = DRW_shgroup_create(e_data.wire_overlay_shader, psl->wire_overlay); - DRW_shgroup_uniform_block(stl->g_data->lwire_shgrp, "globalsBlock", G_draw.block_ubo); - } - - { - psl->face_overlay = DRW_pass_create( - "Face Mask Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); - - stl->g_data->face_shgrp = DRW_shgroup_create(e_data.face_overlay_shader, psl->face_overlay); - - static float col[4] = {1.0f, 1.0f, 1.0f, 0.2f}; - DRW_shgroup_uniform_vec4(stl->g_data->face_shgrp, "color", col, 1); - } + PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; + PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + stl->g_data->shgroup_image_array = NULL; + } + + { + /* Create a pass */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND; + psl->image_faces = DRW_pass_create("Image Color Pass", state); + + stl->g_data->shgroup_fallback = DRW_shgroup_create(e_data.fallback_sh, psl->image_faces); + + /* Uniforms need a pointer to it's value so be sure it's accessible at + * any given time (i.e. use static vars) */ + static float color[4] = {1.0f, 0.0f, 1.0f, 1.0}; + DRW_shgroup_uniform_vec4(stl->g_data->shgroup_fallback, "color", color, 1); + + MEM_SAFE_FREE(stl->g_data->shgroup_image_array); + + const DRWContextState *draw_ctx = DRW_context_state_get(); + Object *ob = draw_ctx->obact; + if (ob && ob->type == OB_MESH) { + Scene *scene = draw_ctx->scene; + const ImagePaintSettings *imapaint = &scene->toolsettings->imapaint; + const bool use_material_slots = (imapaint->mode == IMAGEPAINT_MODE_MATERIAL); + const Mesh *me = ob->data; + const int mat_nr = max_ii(1, me->totcol); + + stl->g_data->shgroup_image_array = MEM_mallocN( + sizeof(*stl->g_data->shgroup_image_array) * (use_material_slots ? mat_nr : 1), __func__); + + if (use_material_slots) { + for (int i = 0; i < mat_nr; i++) { + Material *ma = give_current_material(ob, i + 1); + Image *ima = (ma && ma->texpaintslot) ? ma->texpaintslot[ma->paint_active_slot].ima : + NULL; + int interp = (ma && ma->texpaintslot) ? ma->texpaintslot[ma->paint_active_slot].interp : + 0; + GPUTexture *tex = GPU_texture_from_blender(ima, NULL, GL_TEXTURE_2D, false); + + if (tex) { + DRWShadingGroup *grp = create_texture_paint_shading_group( + psl, tex, draw_ctx, interp == SHD_INTERP_CLOSEST); + stl->g_data->shgroup_image_array[i] = grp; + } + else { + stl->g_data->shgroup_image_array[i] = NULL; + } + } + } + else { + Image *ima = imapaint->canvas; + GPUTexture *tex = GPU_texture_from_blender(ima, NULL, GL_TEXTURE_2D, false); + + if (tex) { + DRWShadingGroup *grp = create_texture_paint_shading_group( + psl, tex, draw_ctx, imapaint->interp == IMAGEPAINT_INTERP_CLOSEST); + stl->g_data->shgroup_image_array[0] = grp; + } + else { + stl->g_data->shgroup_image_array[0] = NULL; + } + } + } + } + + /* Face Mask */ + { + psl->wire_overlay = DRW_pass_create("Wire Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_OFFSET_NEGATIVE); + + stl->g_data->lwire_shgrp = DRW_shgroup_create(e_data.wire_overlay_shader, psl->wire_overlay); + DRW_shgroup_uniform_block(stl->g_data->lwire_shgrp, "globalsBlock", G_draw.block_ubo); + } + + { + psl->face_overlay = DRW_pass_create("Face Mask Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); + + stl->g_data->face_shgrp = DRW_shgroup_create(e_data.face_overlay_shader, psl->face_overlay); + + static float col[4] = {1.0f, 1.0f, 1.0f, 0.2f}; + DRW_shgroup_uniform_vec4(stl->g_data->face_shgrp, "color", col, 1); + } } /* Add geometry to shadingGroups. Execute for each objects */ static void PAINT_TEXTURE_cache_populate(void *vedata, Object *ob) { - PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; - PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - UNUSED_VARS(psl, stl); - - if ((ob->type == OB_MESH) && (draw_ctx->obact == ob)) { - /* Get geometry cache */ - const Mesh *me = ob->data; - const Mesh *me_orig = DEG_get_original_object(ob)->data; - Scene *scene = draw_ctx->scene; - const bool use_surface = draw_ctx->v3d->overlay.texture_paint_mode_opacity != 0.0; //DRW_object_is_mode_shade(ob) == true; - const bool use_material_slots = (scene->toolsettings->imapaint.mode == IMAGEPAINT_MODE_MATERIAL); - const bool use_face_sel = (me_orig->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; - - if (use_surface) { - if (me->mloopuv != NULL) { - if (use_material_slots) { - int mat_nr = max_ii(1, me->totcol); - struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); - - for (int i = 0; i < mat_nr; i++) { - const int index = use_material_slots ? i : 0; - if ((i < me->totcol) && stl->g_data->shgroup_image_array[index]) { - DRW_shgroup_call_add(stl->g_data->shgroup_image_array[index], geom_array[i], ob->obmat); - } - else { - DRW_shgroup_call_add(stl->g_data->shgroup_fallback, geom_array[i], ob->obmat); - } - } - } - else { - if (stl->g_data->shgroup_image_array[0]) { - struct GPUBatch *geom = DRW_cache_mesh_surface_texpaint_single_get(ob); - DRW_shgroup_call_add(stl->g_data->shgroup_image_array[0], geom, ob->obmat); - } - } - } - else { - struct GPUBatch *geom = DRW_cache_mesh_surface_get(ob); - DRW_shgroup_call_add(stl->g_data->shgroup_fallback, geom, ob->obmat); - } - } - - /* Face Mask */ - if (use_face_sel) { - struct GPUBatch *geom; - geom = DRW_cache_mesh_surface_edges_get(ob); - DRW_shgroup_call_add(stl->g_data->lwire_shgrp, geom, ob->obmat); - - geom = DRW_cache_mesh_surface_get(ob); - DRW_shgroup_call_add(stl->g_data->face_shgrp, geom, ob->obmat); - } - } + PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; + PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + UNUSED_VARS(psl, stl); + + if ((ob->type == OB_MESH) && (draw_ctx->obact == ob)) { + /* Get geometry cache */ + const Mesh *me = ob->data; + const Mesh *me_orig = DEG_get_original_object(ob)->data; + Scene *scene = draw_ctx->scene; + const bool use_surface = draw_ctx->v3d->overlay.texture_paint_mode_opacity != + 0.0; //DRW_object_is_mode_shade(ob) == true; + const bool use_material_slots = (scene->toolsettings->imapaint.mode == + IMAGEPAINT_MODE_MATERIAL); + const bool use_face_sel = (me_orig->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; + + if (use_surface) { + if (me->mloopuv != NULL) { + if (use_material_slots) { + int mat_nr = max_ii(1, me->totcol); + struct GPUBatch **geom_array = DRW_cache_mesh_surface_texpaint_get(ob); + + for (int i = 0; i < mat_nr; i++) { + const int index = use_material_slots ? i : 0; + if ((i < me->totcol) && stl->g_data->shgroup_image_array[index]) { + DRW_shgroup_call_add( + stl->g_data->shgroup_image_array[index], geom_array[i], ob->obmat); + } + else { + DRW_shgroup_call_add(stl->g_data->shgroup_fallback, geom_array[i], ob->obmat); + } + } + } + else { + if (stl->g_data->shgroup_image_array[0]) { + struct GPUBatch *geom = DRW_cache_mesh_surface_texpaint_single_get(ob); + DRW_shgroup_call_add(stl->g_data->shgroup_image_array[0], geom, ob->obmat); + } + } + } + else { + struct GPUBatch *geom = DRW_cache_mesh_surface_get(ob); + DRW_shgroup_call_add(stl->g_data->shgroup_fallback, geom, ob->obmat); + } + } + + /* Face Mask */ + if (use_face_sel) { + struct GPUBatch *geom; + geom = DRW_cache_mesh_surface_edges_get(ob); + DRW_shgroup_call_add(stl->g_data->lwire_shgrp, geom, ob->obmat); + + geom = DRW_cache_mesh_surface_get(ob); + DRW_shgroup_call_add(stl->g_data->face_shgrp, geom, ob->obmat); + } + } } /* Optional: Post-cache_populate callback */ static void PAINT_TEXTURE_cache_finish(void *vedata) { - PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; - PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; + PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; + PAINT_TEXTURE_StorageList *stl = ((PAINT_TEXTURE_Data *)vedata)->stl; - /* Do something here! dependent on the objects gathered */ - UNUSED_VARS(psl); + /* Do something here! dependent on the objects gathered */ + UNUSED_VARS(psl); - MEM_SAFE_FREE(stl->g_data->shgroup_image_array); + MEM_SAFE_FREE(stl->g_data->shgroup_image_array); } /* Draw time ! Control rendering pipeline from here */ static void PAINT_TEXTURE_draw_scene(void *vedata) { - PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; - PAINT_TEXTURE_FramebufferList *fbl = ((PAINT_TEXTURE_Data *)vedata)->fbl; + PAINT_TEXTURE_PassList *psl = ((PAINT_TEXTURE_Data *)vedata)->psl; + PAINT_TEXTURE_FramebufferList *fbl = ((PAINT_TEXTURE_Data *)vedata)->fbl; - /* Default framebuffer and texture */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* Default framebuffer and texture */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - UNUSED_VARS(fbl, dfbl, dtxl); + UNUSED_VARS(fbl, dfbl, dtxl); - DRW_draw_pass(psl->image_faces); + DRW_draw_pass(psl->image_faces); - DRW_draw_pass(psl->face_overlay); - DRW_draw_pass(psl->wire_overlay); + DRW_draw_pass(psl->face_overlay); + DRW_draw_pass(psl->wire_overlay); } /* Cleanup when destroying the engine. @@ -365,25 +376,27 @@ static void PAINT_TEXTURE_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void PAINT_TEXTURE_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.image_sh); - DRW_SHADER_FREE_SAFE(e_data.image_masking_sh); - DRW_SHADER_FREE_SAFE(e_data.wire_overlay_shader); - DRW_SHADER_FREE_SAFE(e_data.face_overlay_shader); + DRW_SHADER_FREE_SAFE(e_data.image_sh); + DRW_SHADER_FREE_SAFE(e_data.image_masking_sh); + DRW_SHADER_FREE_SAFE(e_data.wire_overlay_shader); + DRW_SHADER_FREE_SAFE(e_data.face_overlay_shader); } -static const DrawEngineDataSize PAINT_TEXTURE_data_size = DRW_VIEWPORT_DATA_SIZE(PAINT_TEXTURE_Data); +static const DrawEngineDataSize PAINT_TEXTURE_data_size = DRW_VIEWPORT_DATA_SIZE( + PAINT_TEXTURE_Data); DrawEngineType draw_engine_paint_texture_type = { - NULL, NULL, - N_("PaintTextureMode"), - &PAINT_TEXTURE_data_size, - &PAINT_TEXTURE_engine_init, - &PAINT_TEXTURE_engine_free, - &PAINT_TEXTURE_cache_init, - &PAINT_TEXTURE_cache_populate, - &PAINT_TEXTURE_cache_finish, - NULL, /* draw_background but not needed by mode engines */ - &PAINT_TEXTURE_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("PaintTextureMode"), + &PAINT_TEXTURE_data_size, + &PAINT_TEXTURE_engine_init, + &PAINT_TEXTURE_engine_free, + &PAINT_TEXTURE_cache_init, + &PAINT_TEXTURE_cache_populate, + &PAINT_TEXTURE_cache_finish, + NULL, /* draw_background but not needed by mode engines */ + &PAINT_TEXTURE_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/paint_vertex_mode.c b/source/blender/draw/modes/paint_vertex_mode.c index 95ee3729c77..ef3af1255eb 100644 --- a/source/blender/draw/modes/paint_vertex_mode.c +++ b/source/blender/draw/modes/paint_vertex_mode.c @@ -48,305 +48,318 @@ extern char datatoc_gpu_shader_uniform_color_frag_glsl[]; /* *********** LISTS *********** */ enum { - VERTEX_MODE = 0, - WEIGHT_MODE = 1, + VERTEX_MODE = 0, + WEIGHT_MODE = 1, }; #define MODE_LEN (WEIGHT_MODE + 1) typedef struct PAINT_VERTEX_PassList { - struct { - struct DRWPass *color_faces; - } by_mode[MODE_LEN]; - struct DRWPass *wire_overlay; - struct DRWPass *wire_select_overlay; - struct DRWPass *face_select_overlay; - struct DRWPass *vert_select_overlay; + struct { + struct DRWPass *color_faces; + } by_mode[MODE_LEN]; + struct DRWPass *wire_overlay; + struct DRWPass *wire_select_overlay; + struct DRWPass *face_select_overlay; + struct DRWPass *vert_select_overlay; } PAINT_VERTEX_PassList; typedef struct PAINT_VERTEX_StorageList { - struct PAINT_VERTEX_PrivateData *g_data; + struct PAINT_VERTEX_PrivateData *g_data; } PAINT_VERTEX_StorageList; typedef struct PAINT_VERTEX_Data { - void *engine_type; /* Required */ - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - PAINT_VERTEX_PassList *psl; - PAINT_VERTEX_StorageList *stl; + void *engine_type; /* Required */ + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + PAINT_VERTEX_PassList *psl; + PAINT_VERTEX_StorageList *stl; } PAINT_VERTEX_Data; typedef struct PAINT_VERTEX_Shaders { - struct { - struct GPUShader *color_face; - struct GPUShader *wire_overlay; - struct GPUShader *wire_select_overlay; - } by_mode[MODE_LEN]; - struct GPUShader *face_select_overlay; - struct GPUShader *vert_select_overlay; + struct { + struct GPUShader *color_face; + struct GPUShader *wire_overlay; + struct GPUShader *wire_select_overlay; + } by_mode[MODE_LEN]; + struct GPUShader *face_select_overlay; + struct GPUShader *vert_select_overlay; } PAINT_VERTEX_Shaders; /* *********** STATIC *********** */ static struct { - PAINT_VERTEX_Shaders sh_data[GPU_SHADER_CFG_LEN]; + PAINT_VERTEX_Shaders sh_data[GPU_SHADER_CFG_LEN]; } e_data = {{{{{NULL}}}}}; /* Engine data */ typedef struct PAINT_VERTEX_PrivateData { - struct { - DRWShadingGroup *color_shgrp; - DRWShadingGroup *lwire_shgrp; - DRWShadingGroup *lwire_select_shgrp; - } by_mode[MODE_LEN]; - DRWShadingGroup *face_select_shgrp; - DRWShadingGroup *vert_select_shgrp; + struct { + DRWShadingGroup *color_shgrp; + DRWShadingGroup *lwire_shgrp; + DRWShadingGroup *lwire_select_shgrp; + } by_mode[MODE_LEN]; + DRWShadingGroup *face_select_shgrp; + DRWShadingGroup *vert_select_shgrp; } PAINT_VERTEX_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ static void PAINT_VERTEX_engine_init(void *UNUSED(vedata)) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { - DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); - } - const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; - - if (!sh_data->face_select_overlay) { - sh_data->by_mode[VERTEX_MODE].color_face = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_paint_vertex_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_paint_vertex_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - sh_data->by_mode[WEIGHT_MODE].color_face = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_paint_weight_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_common_globals_lib_glsl, datatoc_paint_weight_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - - sh_data->face_select_overlay = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_paint_face_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, NULL}, - }); - sh_data->vert_select_overlay = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_paint_wire_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_paint_vert_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, "#define USE_SELECT\n", NULL}, - }); - - const char *mode_defs[MODE_LEN] = { - "#define VERTEX_MODE\n", - "#define WEIGHT_MODE\n", - }; - for (int i = 0; i < MODE_LEN; i++) { - sh_data->by_mode[i].wire_overlay = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_paint_wire_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_paint_wire_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, mode_defs[i], NULL}, - }); - sh_data->by_mode[i].wire_select_overlay = GPU_shader_create_from_arrays({ - .vert = (const char *[]){sh_cfg_data->lib, datatoc_common_globals_lib_glsl, datatoc_paint_wire_vert_glsl, NULL}, - .frag = (const char *[]){datatoc_paint_wire_frag_glsl, NULL}, - .defs = (const char *[]){sh_cfg_data->def, mode_defs[i], "#define USE_SELECT\n", NULL}, - }); - } - } + const DRWContextState *draw_ctx = DRW_context_state_get(); + PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (draw_ctx->sh_cfg == GPU_SHADER_CFG_CLIPPED) { + DRW_state_clip_planes_set_from_rv3d(draw_ctx->rv3d); + } + const GPUShaderConfigData *sh_cfg_data = &GPU_shader_cfg_data[draw_ctx->sh_cfg]; + + if (!sh_data->face_select_overlay) { + sh_data->by_mode[VERTEX_MODE].color_face = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_paint_vertex_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_paint_vertex_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + sh_data->by_mode[WEIGHT_MODE].color_face = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_paint_weight_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_common_globals_lib_glsl, + datatoc_paint_weight_frag_glsl, + NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + + sh_data->face_select_overlay = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, datatoc_paint_face_vert_glsl, NULL}, + .frag = (const char *[]){datatoc_gpu_shader_uniform_color_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, NULL}, + }); + sh_data->vert_select_overlay = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_paint_wire_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_paint_vert_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, "#define USE_SELECT\n", NULL}, + }); + + const char *mode_defs[MODE_LEN] = { + "#define VERTEX_MODE\n", + "#define WEIGHT_MODE\n", + }; + for (int i = 0; i < MODE_LEN; i++) { + sh_data->by_mode[i].wire_overlay = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_paint_wire_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_paint_wire_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, mode_defs[i], NULL}, + }); + sh_data->by_mode[i].wire_select_overlay = GPU_shader_create_from_arrays({ + .vert = (const char *[]){sh_cfg_data->lib, + datatoc_common_globals_lib_glsl, + datatoc_paint_wire_vert_glsl, + NULL}, + .frag = (const char *[]){datatoc_paint_wire_frag_glsl, NULL}, + .defs = (const char *[]){sh_cfg_data->def, mode_defs[i], "#define USE_SELECT\n", NULL}, + }); + } + } } static void PAINT_VERTEX_cache_init(void *vedata) { - PAINT_VERTEX_PassList *psl = ((PAINT_VERTEX_Data *)vedata)->psl; - PAINT_VERTEX_StorageList *stl = ((PAINT_VERTEX_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const View3D *v3d = draw_ctx->v3d; - const RegionView3D *rv3d = draw_ctx->rv3d; - PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - /* Vertex color pass */ - { - DRWPass *pass = DRW_pass_create( - "Vert Color Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY); - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[VERTEX_MODE].color_face, pass); - DRW_shgroup_uniform_float_copy(shgrp, "white_factor", 1.0f - v3d->overlay.vertex_paint_mode_opacity); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - psl->by_mode[VERTEX_MODE].color_faces = pass; - stl->g_data->by_mode[VERTEX_MODE].color_shgrp = shgrp; - } - - /* Weight color pass */ - { - DRWPass *pass = DRW_pass_create( - "Weight Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY); - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[WEIGHT_MODE].color_face, pass); - DRW_shgroup_uniform_bool_copy(shgrp, "drawContours", (v3d->overlay.wpaint_flag & V3D_OVERLAY_WPAINT_CONTOURS) != 0); - DRW_shgroup_uniform_float(shgrp, "opacity", &v3d->overlay.weight_paint_mode_opacity, 1); - DRW_shgroup_uniform_texture(shgrp, "colorramp", G_draw.weight_ramp); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - psl->by_mode[WEIGHT_MODE].color_faces = pass; - stl->g_data->by_mode[WEIGHT_MODE].color_shgrp = shgrp; - } - - { - DRWPass *pass = DRW_pass_create( - "Wire Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); - for (int i = 0; i < MODE_LEN; i++) { - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[i].wire_overlay, pass); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - stl->g_data->by_mode[i].lwire_shgrp = shgrp; - } - psl->wire_overlay = pass; - } - - - { - DRWPass *pass = DRW_pass_create( - "Wire Mask Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); - for (int i = 0; i < MODE_LEN; i++) { - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[i].wire_select_overlay, pass); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - stl->g_data->by_mode[i].lwire_select_shgrp = shgrp; - } - psl->wire_select_overlay = pass; - } - - { - static float col[4] = {1.0f, 1.0f, 1.0f, 0.2f}; - DRWPass *pass = DRW_pass_create( - "Face Mask Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->face_select_overlay, pass); - DRW_shgroup_uniform_vec4(shgrp, "color", col, 1); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - psl->face_select_overlay = pass; - stl->g_data->face_select_shgrp = shgrp; - } - - { - DRWPass *pass = DRW_pass_create( - "Vert Mask Pass", - DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); - DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->vert_select_overlay, pass); - DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); - if (rv3d->rflag & RV3D_CLIPPING) { - DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); - } - psl->vert_select_overlay = pass; - stl->g_data->vert_select_shgrp = shgrp; - } + PAINT_VERTEX_PassList *psl = ((PAINT_VERTEX_Data *)vedata)->psl; + PAINT_VERTEX_StorageList *stl = ((PAINT_VERTEX_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const View3D *v3d = draw_ctx->v3d; + const RegionView3D *rv3d = draw_ctx->rv3d; + PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[draw_ctx->sh_cfg]; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + /* Vertex color pass */ + { + DRWPass *pass = DRW_pass_create( + "Vert Color Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY); + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[VERTEX_MODE].color_face, pass); + DRW_shgroup_uniform_float_copy( + shgrp, "white_factor", 1.0f - v3d->overlay.vertex_paint_mode_opacity); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + psl->by_mode[VERTEX_MODE].color_faces = pass; + stl->g_data->by_mode[VERTEX_MODE].color_shgrp = shgrp; + } + + /* Weight color pass */ + { + DRWPass *pass = DRW_pass_create( + "Weight Pass", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY); + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[WEIGHT_MODE].color_face, pass); + DRW_shgroup_uniform_bool_copy( + shgrp, "drawContours", (v3d->overlay.wpaint_flag & V3D_OVERLAY_WPAINT_CONTOURS) != 0); + DRW_shgroup_uniform_float(shgrp, "opacity", &v3d->overlay.weight_paint_mode_opacity, 1); + DRW_shgroup_uniform_texture(shgrp, "colorramp", G_draw.weight_ramp); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + psl->by_mode[WEIGHT_MODE].color_faces = pass; + stl->g_data->by_mode[WEIGHT_MODE].color_shgrp = shgrp; + } + + { + DRWPass *pass = DRW_pass_create("Wire Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); + for (int i = 0; i < MODE_LEN; i++) { + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[i].wire_overlay, pass); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + stl->g_data->by_mode[i].lwire_shgrp = shgrp; + } + psl->wire_overlay = pass; + } + + { + DRWPass *pass = DRW_pass_create("Wire Mask Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); + for (int i = 0; i < MODE_LEN; i++) { + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->by_mode[i].wire_select_overlay, pass); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + stl->g_data->by_mode[i].lwire_select_shgrp = shgrp; + } + psl->wire_select_overlay = pass; + } + + { + static float col[4] = {1.0f, 1.0f, 1.0f, 0.2f}; + DRWPass *pass = DRW_pass_create("Face Mask Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND); + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->face_select_overlay, pass); + DRW_shgroup_uniform_vec4(shgrp, "color", col, 1); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + psl->face_select_overlay = pass; + stl->g_data->face_select_shgrp = shgrp; + } + + { + DRWPass *pass = DRW_pass_create("Vert Mask Pass", + DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_OFFSET_NEGATIVE); + DRWShadingGroup *shgrp = DRW_shgroup_create(sh_data->vert_select_overlay, pass); + DRW_shgroup_uniform_block(shgrp, "globalsBlock", G_draw.block_ubo); + if (rv3d->rflag & RV3D_CLIPPING) { + DRW_shgroup_world_clip_planes_from_rv3d(shgrp, rv3d); + } + psl->vert_select_overlay = pass; + stl->g_data->vert_select_shgrp = shgrp; + } } static void PAINT_VERTEX_cache_populate(void *vedata, Object *ob) { - PAINT_VERTEX_StorageList *stl = ((PAINT_VERTEX_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - const View3D *v3d = draw_ctx->v3d; - - if ((ob->type == OB_MESH) && (ob == draw_ctx->obact)) { - const int draw_mode = (ob->mode == OB_MODE_VERTEX_PAINT) ? VERTEX_MODE : WEIGHT_MODE; - const Mesh *me = ob->data; - const Mesh *me_orig = DEG_get_original_object(ob)->data; - const bool use_wire = (v3d->overlay.paint_flag & V3D_OVERLAY_PAINT_WIRE) != 0; - const bool use_face_sel = (me_orig->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; - const bool use_vert_sel = (me_orig->editflag & ME_EDIT_PAINT_VERT_SEL) != 0; - - struct GPUBatch *geom = NULL; - if (draw_mode == VERTEX_MODE) { - if (me->mloopcol == NULL) { - return; - } - if (v3d->overlay.vertex_paint_mode_opacity != 0.0f) { - geom = DRW_cache_mesh_surface_vertpaint_get(ob); - } - } - else { - if (v3d->overlay.weight_paint_mode_opacity != 0.0f) { - geom = DRW_cache_mesh_surface_weights_get(ob); - } - } - if (geom != NULL) { - DRW_shgroup_call_add(stl->g_data->by_mode[draw_mode].color_shgrp, geom, ob->obmat); - } - - if (use_face_sel || use_wire) { - DRWShadingGroup *shgrp = use_face_sel ? - stl->g_data->by_mode[draw_mode].lwire_select_shgrp : - stl->g_data->by_mode[draw_mode].lwire_shgrp; - geom = DRW_cache_mesh_surface_edges_get(ob); - DRW_shgroup_call_add(shgrp, geom, ob->obmat); - } - - if (use_face_sel) { - geom = DRW_cache_mesh_surface_get(ob); - DRW_shgroup_call_add(stl->g_data->face_select_shgrp, geom, ob->obmat); - } - - if (use_vert_sel) { - geom = DRW_cache_mesh_all_verts_get(ob); - DRW_shgroup_call_add(stl->g_data->vert_select_shgrp, geom, ob->obmat); - } - } + PAINT_VERTEX_StorageList *stl = ((PAINT_VERTEX_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const View3D *v3d = draw_ctx->v3d; + + if ((ob->type == OB_MESH) && (ob == draw_ctx->obact)) { + const int draw_mode = (ob->mode == OB_MODE_VERTEX_PAINT) ? VERTEX_MODE : WEIGHT_MODE; + const Mesh *me = ob->data; + const Mesh *me_orig = DEG_get_original_object(ob)->data; + const bool use_wire = (v3d->overlay.paint_flag & V3D_OVERLAY_PAINT_WIRE) != 0; + const bool use_face_sel = (me_orig->editflag & ME_EDIT_PAINT_FACE_SEL) != 0; + const bool use_vert_sel = (me_orig->editflag & ME_EDIT_PAINT_VERT_SEL) != 0; + + struct GPUBatch *geom = NULL; + if (draw_mode == VERTEX_MODE) { + if (me->mloopcol == NULL) { + return; + } + if (v3d->overlay.vertex_paint_mode_opacity != 0.0f) { + geom = DRW_cache_mesh_surface_vertpaint_get(ob); + } + } + else { + if (v3d->overlay.weight_paint_mode_opacity != 0.0f) { + geom = DRW_cache_mesh_surface_weights_get(ob); + } + } + if (geom != NULL) { + DRW_shgroup_call_add(stl->g_data->by_mode[draw_mode].color_shgrp, geom, ob->obmat); + } + + if (use_face_sel || use_wire) { + DRWShadingGroup *shgrp = use_face_sel ? stl->g_data->by_mode[draw_mode].lwire_select_shgrp : + stl->g_data->by_mode[draw_mode].lwire_shgrp; + geom = DRW_cache_mesh_surface_edges_get(ob); + DRW_shgroup_call_add(shgrp, geom, ob->obmat); + } + + if (use_face_sel) { + geom = DRW_cache_mesh_surface_get(ob); + DRW_shgroup_call_add(stl->g_data->face_select_shgrp, geom, ob->obmat); + } + + if (use_vert_sel) { + geom = DRW_cache_mesh_all_verts_get(ob); + DRW_shgroup_call_add(stl->g_data->vert_select_shgrp, geom, ob->obmat); + } + } } static void PAINT_VERTEX_draw_scene(void *vedata) { - PAINT_VERTEX_PassList *psl = ((PAINT_VERTEX_Data *)vedata)->psl; - for (int i = 0; i < MODE_LEN; i++) { - DRW_draw_pass(psl->by_mode[i].color_faces); - } - DRW_draw_pass(psl->wire_overlay); - DRW_draw_pass(psl->wire_select_overlay); - DRW_draw_pass(psl->vert_select_overlay); - DRW_draw_pass(psl->face_select_overlay); + PAINT_VERTEX_PassList *psl = ((PAINT_VERTEX_Data *)vedata)->psl; + for (int i = 0; i < MODE_LEN; i++) { + DRW_draw_pass(psl->by_mode[i].color_faces); + } + DRW_draw_pass(psl->wire_overlay); + DRW_draw_pass(psl->wire_select_overlay); + DRW_draw_pass(psl->vert_select_overlay); + DRW_draw_pass(psl->face_select_overlay); } static void PAINT_VERTEX_engine_free(void) { - for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { - PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[sh_data_index]; - GPUShader **sh_data_as_array = (GPUShader **)sh_data; - for (int i = 0; i < (sizeof(PAINT_VERTEX_Shaders) / sizeof(GPUShader *)); i++) { - DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); - } - } + for (int sh_data_index = 0; sh_data_index < ARRAY_SIZE(e_data.sh_data); sh_data_index++) { + PAINT_VERTEX_Shaders *sh_data = &e_data.sh_data[sh_data_index]; + GPUShader **sh_data_as_array = (GPUShader **)sh_data; + for (int i = 0; i < (sizeof(PAINT_VERTEX_Shaders) / sizeof(GPUShader *)); i++) { + DRW_SHADER_FREE_SAFE(sh_data_as_array[i]); + } + } } static const DrawEngineDataSize PAINT_VERTEX_data_size = DRW_VIEWPORT_DATA_SIZE(PAINT_VERTEX_Data); DrawEngineType draw_engine_paint_vertex_type = { - NULL, NULL, - N_("PaintVertexMode"), - &PAINT_VERTEX_data_size, - &PAINT_VERTEX_engine_init, - &PAINT_VERTEX_engine_free, - &PAINT_VERTEX_cache_init, - &PAINT_VERTEX_cache_populate, - NULL, - NULL, - &PAINT_VERTEX_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("PaintVertexMode"), + &PAINT_VERTEX_data_size, + &PAINT_VERTEX_engine_init, + &PAINT_VERTEX_engine_free, + &PAINT_VERTEX_cache_init, + &PAINT_VERTEX_cache_populate, + NULL, + NULL, + &PAINT_VERTEX_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/particle_mode.c b/source/blender/draw/modes/particle_mode.c index 3090322fc80..600a29fecb4 100644 --- a/source/blender/draw/modes/particle_mode.c +++ b/source/blender/draw/modes/particle_mode.c @@ -43,101 +43,96 @@ extern char datatoc_common_globals_lib_glsl[]; /* *********** LISTS *********** */ typedef struct PARTICLE_PassList { - struct DRWPass *psys_edit_pass; + struct DRWPass *psys_edit_pass; } PARTICLE_PassList; typedef struct PARTICLE_FramebufferList { - struct GPUFrameBuffer *fb; + struct GPUFrameBuffer *fb; } PARTICLE_FramebufferList; typedef struct PARTICLE_TextureList { - struct GPUTexture *texture; + struct GPUTexture *texture; } PARTICLE_TextureList; typedef struct PARTICLE_StorageList { - struct CustomStruct *block; - struct PARTICLE_PrivateData *g_data; + struct CustomStruct *block; + struct PARTICLE_PrivateData *g_data; } PARTICLE_StorageList; typedef struct PARTICLE_Data { - void *engine_type; /* Required */ - PARTICLE_FramebufferList *fbl; - PARTICLE_TextureList *txl; - PARTICLE_PassList *psl; - PARTICLE_StorageList *stl; + void *engine_type; /* Required */ + PARTICLE_FramebufferList *fbl; + PARTICLE_TextureList *txl; + PARTICLE_PassList *psl; + PARTICLE_StorageList *stl; } PARTICLE_Data; /* *********** STATIC *********** */ static struct { - struct GPUShader *strands_shader; - struct GPUShader *strands_weight_shader; - struct GPUShader *points_shader; + struct GPUShader *strands_shader; + struct GPUShader *strands_weight_shader; + struct GPUShader *points_shader; } e_data = {NULL}; /* Engine data */ typedef struct PARTICLE_PrivateData { - DRWShadingGroup *strands_group; - DRWShadingGroup *inner_points_group; - DRWShadingGroup *tip_points_group; + DRWShadingGroup *strands_group; + DRWShadingGroup *inner_points_group; + DRWShadingGroup *tip_points_group; } PARTICLE_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ static void particle_engine_init(void *UNUSED(vedata)) { - if (!e_data.strands_shader) { - e_data.strands_shader = DRW_shader_create_with_lib( - datatoc_particle_strand_vert_glsl, - NULL, - datatoc_particle_strand_frag_glsl, - datatoc_common_globals_lib_glsl, - ""); - - e_data.strands_weight_shader = DRW_shader_create_with_lib( - datatoc_particle_strand_vert_glsl, - NULL, - datatoc_particle_strand_frag_glsl, - datatoc_common_globals_lib_glsl, - "#define USE_WEIGHT"); - - e_data.points_shader = DRW_shader_create_with_lib( - datatoc_particle_strand_vert_glsl, - NULL, - datatoc_particle_strand_frag_glsl, - datatoc_common_globals_lib_glsl, - "#define USE_POINTS"); - } + if (!e_data.strands_shader) { + e_data.strands_shader = DRW_shader_create_with_lib(datatoc_particle_strand_vert_glsl, + NULL, + datatoc_particle_strand_frag_glsl, + datatoc_common_globals_lib_glsl, + ""); + + e_data.strands_weight_shader = DRW_shader_create_with_lib(datatoc_particle_strand_vert_glsl, + NULL, + datatoc_particle_strand_frag_glsl, + datatoc_common_globals_lib_glsl, + "#define USE_WEIGHT"); + + e_data.points_shader = DRW_shader_create_with_lib(datatoc_particle_strand_vert_glsl, + NULL, + datatoc_particle_strand_frag_glsl, + datatoc_common_globals_lib_glsl, + "#define USE_POINTS"); + } } static void particle_cache_init(void *vedata) { - PARTICLE_PassList *psl = ((PARTICLE_Data *)vedata)->psl; - PARTICLE_StorageList *stl = ((PARTICLE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - ParticleEditSettings *pset = PE_settings(draw_ctx->scene); - const bool use_weight = (pset->brushtype == PE_BRUSH_WEIGHT); - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - /* Create a pass */ - psl->psys_edit_pass = DRW_pass_create("PSys Edit Pass", - (DRW_STATE_WRITE_COLOR | - DRW_STATE_WRITE_DEPTH | - DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_WIRE | - DRW_STATE_POINT)); - - GPUShader *strand_shader = (use_weight) ? e_data.strands_weight_shader : e_data.strands_shader; - stl->g_data->strands_group = DRW_shgroup_create(strand_shader, psl->psys_edit_pass); - stl->g_data->inner_points_group = DRW_shgroup_create(e_data.points_shader, psl->psys_edit_pass); - stl->g_data->tip_points_group = DRW_shgroup_create(e_data.points_shader, psl->psys_edit_pass); - - DRW_shgroup_uniform_block(stl->g_data->strands_group, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_block(stl->g_data->inner_points_group, "globalsBlock", G_draw.block_ubo); - DRW_shgroup_uniform_block(stl->g_data->tip_points_group, "globalsBlock", G_draw.block_ubo); + PARTICLE_PassList *psl = ((PARTICLE_Data *)vedata)->psl; + PARTICLE_StorageList *stl = ((PARTICLE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + ParticleEditSettings *pset = PE_settings(draw_ctx->scene); + const bool use_weight = (pset->brushtype == PE_BRUSH_WEIGHT); + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + /* Create a pass */ + psl->psys_edit_pass = DRW_pass_create("PSys Edit Pass", + (DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | + DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_WIRE | + DRW_STATE_POINT)); + + GPUShader *strand_shader = (use_weight) ? e_data.strands_weight_shader : e_data.strands_shader; + stl->g_data->strands_group = DRW_shgroup_create(strand_shader, psl->psys_edit_pass); + stl->g_data->inner_points_group = DRW_shgroup_create(e_data.points_shader, psl->psys_edit_pass); + stl->g_data->tip_points_group = DRW_shgroup_create(e_data.points_shader, psl->psys_edit_pass); + + DRW_shgroup_uniform_block(stl->g_data->strands_group, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_block(stl->g_data->inner_points_group, "globalsBlock", G_draw.block_ubo); + DRW_shgroup_uniform_block(stl->g_data->tip_points_group, "globalsBlock", G_draw.block_ubo); } static void particle_edit_cache_populate(void *vedata, @@ -145,69 +140,66 @@ static void particle_edit_cache_populate(void *vedata, ParticleSystem *psys, PTCacheEdit *edit) { - PARTICLE_StorageList *stl = ((PARTICLE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - ParticleEditSettings *pset = PE_settings(draw_ctx->scene); - const bool use_weight = (pset->brushtype == PE_BRUSH_WEIGHT); - { - struct GPUBatch *strands = - DRW_cache_particles_get_edit_strands(object, psys, edit, use_weight); - DRW_shgroup_call_add(stl->g_data->strands_group, strands, NULL); - } - if (pset->selectmode == SCE_SELECT_POINT) { - struct GPUBatch *points = - DRW_cache_particles_get_edit_inner_points(object, psys, edit); - DRW_shgroup_call_add(stl->g_data->inner_points_group, points, NULL); - } - if (ELEM(pset->selectmode, SCE_SELECT_POINT, SCE_SELECT_END)) { - struct GPUBatch *points = - DRW_cache_particles_get_edit_tip_points(object, psys, edit); - DRW_shgroup_call_add(stl->g_data->tip_points_group, points, NULL); - } + PARTICLE_StorageList *stl = ((PARTICLE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + ParticleEditSettings *pset = PE_settings(draw_ctx->scene); + const bool use_weight = (pset->brushtype == PE_BRUSH_WEIGHT); + { + struct GPUBatch *strands = DRW_cache_particles_get_edit_strands( + object, psys, edit, use_weight); + DRW_shgroup_call_add(stl->g_data->strands_group, strands, NULL); + } + if (pset->selectmode == SCE_SELECT_POINT) { + struct GPUBatch *points = DRW_cache_particles_get_edit_inner_points(object, psys, edit); + DRW_shgroup_call_add(stl->g_data->inner_points_group, points, NULL); + } + if (ELEM(pset->selectmode, SCE_SELECT_POINT, SCE_SELECT_END)) { + struct GPUBatch *points = DRW_cache_particles_get_edit_tip_points(object, psys, edit); + DRW_shgroup_call_add(stl->g_data->tip_points_group, points, NULL); + } } static void particle_cache_populate(void *vedata, Object *object) { - if (object->mode != OB_MODE_PARTICLE_EDIT) { - return; - } - const DRWContextState *draw_ctx = DRW_context_state_get(); - Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); - /* Usually the edit structure is created by Particle Edit Mode Toggle - * operator, but sometimes it's invoked after tagging hair as outdated - * (for example, when toggling edit mode). That makes it impossible to - * create edit structure for until after next dependency graph evaluation. - * - * Ideally, the edit structure will be created here already via some - * dependency graph callback or so, but currently trying to make it nicer - * only causes bad level calls and breaks design from the past. - */ - Object *object_orig = DEG_get_original_object(object); - PTCacheEdit *edit = PE_create_current( - draw_ctx->depsgraph, scene_orig, object_orig); - if (edit == NULL) { - /* Happens when trying to edit particles in EMITTER mode without - * having them cached. - */ - return; - } - /* NOTE: We need to pass evaluated particle system, which we need - * to find first. - */ - ParticleSystem *psys = object->particlesystem.first; - ParticleSystem *psys_orig = object_orig->particlesystem.first; - while (psys_orig != NULL) { - if (PE_get_current_from_psys(psys_orig) == edit) { - break; - } - psys = psys->next; - psys_orig = psys_orig->next; - } - if (psys == NULL) { - printf("Error getting evaluated particle system for edit.\n"); - return; - } - particle_edit_cache_populate(vedata, object, psys, edit); + if (object->mode != OB_MODE_PARTICLE_EDIT) { + return; + } + const DRWContextState *draw_ctx = DRW_context_state_get(); + Scene *scene_orig = (Scene *)DEG_get_original_id(&draw_ctx->scene->id); + /* Usually the edit structure is created by Particle Edit Mode Toggle + * operator, but sometimes it's invoked after tagging hair as outdated + * (for example, when toggling edit mode). That makes it impossible to + * create edit structure for until after next dependency graph evaluation. + * + * Ideally, the edit structure will be created here already via some + * dependency graph callback or so, but currently trying to make it nicer + * only causes bad level calls and breaks design from the past. + */ + Object *object_orig = DEG_get_original_object(object); + PTCacheEdit *edit = PE_create_current(draw_ctx->depsgraph, scene_orig, object_orig); + if (edit == NULL) { + /* Happens when trying to edit particles in EMITTER mode without + * having them cached. + */ + return; + } + /* NOTE: We need to pass evaluated particle system, which we need + * to find first. + */ + ParticleSystem *psys = object->particlesystem.first; + ParticleSystem *psys_orig = object_orig->particlesystem.first; + while (psys_orig != NULL) { + if (PE_get_current_from_psys(psys_orig) == edit) { + break; + } + psys = psys->next; + psys_orig = psys_orig->next; + } + if (psys == NULL) { + printf("Error getting evaluated particle system for edit.\n"); + return; + } + particle_edit_cache_populate(vedata, object, psys, edit); } /* Optional: Post-cache_populate callback */ @@ -219,32 +211,32 @@ static void particle_cache_finish(void *UNUSED(vedata)) static void particle_draw_scene(void *vedata) { - PARTICLE_PassList *psl = ((PARTICLE_Data *)vedata)->psl; + PARTICLE_PassList *psl = ((PARTICLE_Data *)vedata)->psl; - DRW_draw_pass(psl->psys_edit_pass); + DRW_draw_pass(psl->psys_edit_pass); } static void particle_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.strands_shader); - DRW_SHADER_FREE_SAFE(e_data.strands_weight_shader); - DRW_SHADER_FREE_SAFE(e_data.points_shader); + DRW_SHADER_FREE_SAFE(e_data.strands_shader); + DRW_SHADER_FREE_SAFE(e_data.strands_weight_shader); + DRW_SHADER_FREE_SAFE(e_data.points_shader); } -static const DrawEngineDataSize particle_data_size = - DRW_VIEWPORT_DATA_SIZE(PARTICLE_Data); +static const DrawEngineDataSize particle_data_size = DRW_VIEWPORT_DATA_SIZE(PARTICLE_Data); DrawEngineType draw_engine_particle_type = { - NULL, NULL, - N_("Particle Mode"), - &particle_data_size, - &particle_engine_init, - &particle_engine_free, - &particle_cache_init, - &particle_cache_populate, - &particle_cache_finish, - NULL, /* draw_background but not needed by mode engines */ - &particle_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("Particle Mode"), + &particle_data_size, + &particle_engine_init, + &particle_engine_free, + &particle_cache_init, + &particle_cache_populate, + &particle_cache_finish, + NULL, /* draw_background but not needed by mode engines */ + &particle_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/pose_mode.c b/source/blender/draw/modes/pose_mode.c index c445335b587..5e3353414f5 100644 --- a/source/blender/draw/modes/pose_mode.c +++ b/source/blender/draw/modes/pose_mode.c @@ -45,56 +45,55 @@ */ typedef struct POSE_PassList { - struct DRWPass *bone_solid[2]; - struct DRWPass *bone_transp[2]; - struct DRWPass *bone_outline[2]; - struct DRWPass *bone_wire[2]; - struct DRWPass *bone_envelope[2]; - struct DRWPass *bone_axes; - struct DRWPass *relationship[2]; - struct DRWPass *bone_selection; + struct DRWPass *bone_solid[2]; + struct DRWPass *bone_transp[2]; + struct DRWPass *bone_outline[2]; + struct DRWPass *bone_wire[2]; + struct DRWPass *bone_envelope[2]; + struct DRWPass *bone_axes; + struct DRWPass *relationship[2]; + struct DRWPass *bone_selection; } POSE_PassList; typedef struct POSE_StorageList { - struct POSE_PrivateData *g_data; + struct POSE_PrivateData *g_data; } POSE_StorageList; typedef struct POSE_Data { - void *engine_type; - DRWViewportEmptyList *fbl; - DRWViewportEmptyList *txl; - POSE_PassList *psl; - POSE_StorageList *stl; + void *engine_type; + DRWViewportEmptyList *fbl; + DRWViewportEmptyList *txl; + POSE_PassList *psl; + POSE_StorageList *stl; } POSE_Data; /* *********** STATIC *********** */ typedef struct POSE_PrivateData { - DRWShadingGroup *bone_selection_shgrp; - DRWShadingGroup *bone_selection_invert_shgrp; - float blend_color[4]; - float blend_color_invert[4]; - bool transparent_bones; + DRWShadingGroup *bone_selection_shgrp; + DRWShadingGroup *bone_selection_invert_shgrp; + float blend_color[4]; + float blend_color_invert[4]; + bool transparent_bones; } POSE_PrivateData; /* Transient data */ static struct { - struct GPUShader *bone_selection_sh; + struct GPUShader *bone_selection_sh; } e_data = {NULL}; - /* *********** FUNCTIONS *********** */ static bool POSE_is_bone_selection_overlay_active(void) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - const View3D *v3d = draw_ctx->v3d; - return v3d && (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT) && draw_ctx->object_pose; + const DRWContextState *draw_ctx = DRW_context_state_get(); + const View3D *v3d = draw_ctx->v3d; + return v3d && (v3d->overlay.flag & V3D_OVERLAY_BONE_SELECT) && draw_ctx->object_pose; } static void POSE_engine_init(void *UNUSED(vedata)) { - if (!e_data.bone_selection_sh) { - e_data.bone_selection_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); - } + if (!e_data.bone_selection_sh) { + e_data.bone_selection_sh = GPU_shader_get_builtin_shader(GPU_SHADER_3D_UNIFORM_COLOR); + } } static void POSE_engine_free(void) @@ -105,130 +104,131 @@ static void POSE_engine_free(void) * Assume that all Passes are NULL */ static void POSE_cache_init(void *vedata) { - POSE_PassList *psl = ((POSE_Data *)vedata)->psl; - POSE_StorageList *stl = ((POSE_Data *)vedata)->stl; - const DRWContextState *draw_ctx = DRW_context_state_get(); - View3D *v3d = draw_ctx->v3d; - - if (!stl->g_data) { - /* Alloc transient pointers */ - stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); - } - POSE_PrivateData *ppd = stl->g_data; - ppd->transparent_bones = (draw_ctx->v3d->shading.type == OB_WIRE); - - for (int i = 0; i < 2; ++i) { - /* Solid bones */ - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; - psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state | DRW_STATE_WRITE_DEPTH); - psl->bone_transp[i] = DRW_pass_create("Bone Transp Pass", state | DRW_STATE_BLEND); - - /* Bones Outline */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; - psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); - - /* Wire bones */ - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_BLEND; - psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); - - /* distance outline around envelope bones */ - state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_FRONT; - psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", state); - - state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | - DRW_STATE_BLEND | DRW_STATE_WIRE; - psl->relationship[i] = DRW_pass_create("Bone Relationship Pass", state); - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WIRE_SMOOTH | DRW_STATE_BLEND; - psl->bone_axes = DRW_pass_create("Bone Axes Pass", state); - } - - { - if (POSE_is_bone_selection_overlay_active()) { - const float alpha = (draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) ? 0.0f : v3d->overlay.xray_alpha_bone; - copy_v4_fl4(ppd->blend_color, 0.0f, 0.0f, 0.0f, alpha); - copy_v4_fl4(ppd->blend_color_invert, 0.0f, 0.0f, 0.0f, pow(alpha, 4)); - DRWShadingGroup *grp; - psl->bone_selection = DRW_pass_create( - "Bone Selection", - DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND); - grp = DRW_shgroup_create(e_data.bone_selection_sh, psl->bone_selection); - DRW_shgroup_uniform_vec4(grp, "color", ppd->blend_color, 1); - stl->g_data->bone_selection_shgrp = grp; - grp = DRW_shgroup_create(e_data.bone_selection_sh, psl->bone_selection); - DRW_shgroup_uniform_vec4(grp, "color", ppd->blend_color_invert, 1); - stl->g_data->bone_selection_invert_shgrp = grp; - } - } + POSE_PassList *psl = ((POSE_Data *)vedata)->psl; + POSE_StorageList *stl = ((POSE_Data *)vedata)->stl; + const DRWContextState *draw_ctx = DRW_context_state_get(); + View3D *v3d = draw_ctx->v3d; + + if (!stl->g_data) { + /* Alloc transient pointers */ + stl->g_data = MEM_callocN(sizeof(*stl->g_data), __func__); + } + POSE_PrivateData *ppd = stl->g_data; + ppd->transparent_bones = (draw_ctx->v3d->shading.type == OB_WIRE); + + for (int i = 0; i < 2; ++i) { + /* Solid bones */ + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | DRW_STATE_CULL_BACK; + psl->bone_solid[i] = DRW_pass_create("Bone Solid Pass", state | DRW_STATE_WRITE_DEPTH); + psl->bone_transp[i] = DRW_pass_create("Bone Transp Pass", state | DRW_STATE_BLEND); + + /* Bones Outline */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL; + psl->bone_outline[i] = DRW_pass_create("Bone Outline Pass", state); + + /* Wire bones */ + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND; + psl->bone_wire[i] = DRW_pass_create("Bone Wire Pass", state); + + /* distance outline around envelope bones */ + state = DRW_STATE_ADDITIVE | DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_CULL_FRONT; + psl->bone_envelope[i] = DRW_pass_create("Bone Envelope Outline Pass", state); + + state = DRW_STATE_WRITE_COLOR | DRW_STATE_WRITE_DEPTH | DRW_STATE_DEPTH_LESS_EQUAL | + DRW_STATE_BLEND | DRW_STATE_WIRE; + psl->relationship[i] = DRW_pass_create("Bone Relationship Pass", state); + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_WIRE_SMOOTH | DRW_STATE_BLEND; + psl->bone_axes = DRW_pass_create("Bone Axes Pass", state); + } + + { + if (POSE_is_bone_selection_overlay_active()) { + const float alpha = (draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) ? + 0.0f : + v3d->overlay.xray_alpha_bone; + copy_v4_fl4(ppd->blend_color, 0.0f, 0.0f, 0.0f, alpha); + copy_v4_fl4(ppd->blend_color_invert, 0.0f, 0.0f, 0.0f, pow(alpha, 4)); + DRWShadingGroup *grp; + psl->bone_selection = DRW_pass_create( + "Bone Selection", DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_BLEND); + grp = DRW_shgroup_create(e_data.bone_selection_sh, psl->bone_selection); + DRW_shgroup_uniform_vec4(grp, "color", ppd->blend_color, 1); + stl->g_data->bone_selection_shgrp = grp; + grp = DRW_shgroup_create(e_data.bone_selection_sh, psl->bone_selection); + DRW_shgroup_uniform_vec4(grp, "color", ppd->blend_color_invert, 1); + stl->g_data->bone_selection_invert_shgrp = grp; + } + } } static bool POSE_is_driven_by_active_armature(Object *ob) { - Object *ob_arm = modifiers_isDeformedByArmature(ob); - if (ob_arm) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - bool is_active = DRW_pose_mode_armature(ob_arm, draw_ctx->obact); - if (!is_active && ob_arm->proxy_from) { - is_active = DRW_pose_mode_armature(ob_arm->proxy_from, draw_ctx->obact); - } - return is_active; - } - else { - Object *ob_mesh_deform = modifiers_isDeformedByMeshDeform(ob); - if (ob_mesh_deform) { - return POSE_is_driven_by_active_armature(ob_mesh_deform); - } - } - return false; + Object *ob_arm = modifiers_isDeformedByArmature(ob); + if (ob_arm) { + const DRWContextState *draw_ctx = DRW_context_state_get(); + bool is_active = DRW_pose_mode_armature(ob_arm, draw_ctx->obact); + if (!is_active && ob_arm->proxy_from) { + is_active = DRW_pose_mode_armature(ob_arm->proxy_from, draw_ctx->obact); + } + return is_active; + } + else { + Object *ob_mesh_deform = modifiers_isDeformedByMeshDeform(ob); + if (ob_mesh_deform) { + return POSE_is_driven_by_active_armature(ob_mesh_deform); + } + } + return false; } /* Add geometry to shading groups. Execute for each objects */ static void POSE_cache_populate(void *vedata, Object *ob) { - POSE_PassList *psl = ((POSE_Data *)vedata)->psl; - POSE_PrivateData *ppd = ((POSE_Data *)vedata)->stl->g_data; - const DRWContextState *draw_ctx = DRW_context_state_get(); - - /* In the future this will allow us to implement face gizmos, - * and similar functionalities. For now we handle only pose bones. */ - - if (ob->type == OB_ARMATURE) { - if ((draw_ctx->v3d->flag2 & V3D_HIDE_OVERLAYS) || - (draw_ctx->v3d->overlay.flag & V3D_OVERLAY_HIDE_BONES)) - { - return; - } - if (DRW_pose_mode_armature(ob, draw_ctx->obact)) { - int ghost = (ob->dtx & OB_DRAWXRAY) ? 1 : 0; - bool transp = (ppd->transparent_bones || (ob->dt <= OB_WIRE)) || XRAY_FLAG_ENABLED(draw_ctx->v3d); - - DRWArmaturePasses passes = { - .bone_solid = (transp) ? psl->bone_transp[ghost] : psl->bone_solid[ghost], - .bone_outline = psl->bone_outline[ghost], - .bone_wire = psl->bone_wire[ghost], - .bone_envelope = psl->bone_envelope[ghost], - .bone_axes = psl->bone_axes, - .relationship_lines = psl->relationship[ghost], - }; - DRW_shgroup_armature_pose(ob, passes, transp); - } - } - else if (ob->type == OB_MESH && - !DRW_state_is_select() && - POSE_is_bone_selection_overlay_active()) - { - struct GPUBatch *geom = DRW_cache_object_surface_get(ob); - if (geom) { - if (POSE_is_driven_by_active_armature(ob)) { - DRW_shgroup_call_object_add(ppd->bone_selection_shgrp, geom, ob); - } - else { - DRW_shgroup_call_object_add(ppd->bone_selection_invert_shgrp, geom, ob); - } - } - } + POSE_PassList *psl = ((POSE_Data *)vedata)->psl; + POSE_PrivateData *ppd = ((POSE_Data *)vedata)->stl->g_data; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + /* In the future this will allow us to implement face gizmos, + * and similar functionalities. For now we handle only pose bones. */ + + if (ob->type == OB_ARMATURE) { + if ((draw_ctx->v3d->flag2 & V3D_HIDE_OVERLAYS) || + (draw_ctx->v3d->overlay.flag & V3D_OVERLAY_HIDE_BONES)) { + return; + } + if (DRW_pose_mode_armature(ob, draw_ctx->obact)) { + int ghost = (ob->dtx & OB_DRAWXRAY) ? 1 : 0; + bool transp = (ppd->transparent_bones || (ob->dt <= OB_WIRE)) || + XRAY_FLAG_ENABLED(draw_ctx->v3d); + + DRWArmaturePasses passes = { + .bone_solid = (transp) ? psl->bone_transp[ghost] : psl->bone_solid[ghost], + .bone_outline = psl->bone_outline[ghost], + .bone_wire = psl->bone_wire[ghost], + .bone_envelope = psl->bone_envelope[ghost], + .bone_axes = psl->bone_axes, + .relationship_lines = psl->relationship[ghost], + }; + DRW_shgroup_armature_pose(ob, passes, transp); + } + } + else if (ob->type == OB_MESH && !DRW_state_is_select() && + POSE_is_bone_selection_overlay_active()) { + struct GPUBatch *geom = DRW_cache_object_surface_get(ob); + if (geom) { + if (POSE_is_driven_by_active_armature(ob)) { + DRW_shgroup_call_object_add(ppd->bone_selection_shgrp, geom, ob); + } + else { + DRW_shgroup_call_object_add(ppd->bone_selection_invert_shgrp, geom, ob); + } + } + } } /** @@ -236,100 +236,96 @@ static void POSE_cache_populate(void *vedata, Object *ob) */ bool DRW_pose_mode_armature(Object *ob, Object *active_ob) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - - /* Pose armature is handled by pose mode engine. */ - if (((ob == active_ob) || (ob->mode & OB_MODE_POSE)) && - ((draw_ctx->object_mode & OB_MODE_POSE) != 0)) - { - return true; - } - - /* Armature parent is also handled by pose mode engine. */ - if ((active_ob != NULL) && ((draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) != 0)) { - if (ob == draw_ctx->object_pose) { - return true; - } - } - - return false; + const DRWContextState *draw_ctx = DRW_context_state_get(); + + /* Pose armature is handled by pose mode engine. */ + if (((ob == active_ob) || (ob->mode & OB_MODE_POSE)) && + ((draw_ctx->object_mode & OB_MODE_POSE) != 0)) { + return true; + } + + /* Armature parent is also handled by pose mode engine. */ + if ((active_ob != NULL) && ((draw_ctx->object_mode & OB_MODE_WEIGHT_PAINT) != 0)) { + if (ob == draw_ctx->object_pose) { + return true; + } + } + + return false; } /* Draw time ! Control rendering pipeline from here */ static void POSE_draw_scene(void *vedata) { - POSE_PassList *psl = ((POSE_Data *)vedata)->psl; - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - const bool bone_selection_overlay = POSE_is_bone_selection_overlay_active(); - - if (DRW_state_is_select()) { - DRW_draw_pass(psl->bone_outline[0]); - DRW_draw_pass(psl->bone_solid[0]); - DRW_draw_pass(psl->bone_wire[0]); - DRW_draw_pass(psl->bone_outline[1]); - DRW_draw_pass(psl->bone_solid[1]); - DRW_draw_pass(psl->bone_wire[1]); - return; - } - - if (bone_selection_overlay) { - GPU_framebuffer_bind(dfbl->default_fb); - DRW_draw_pass(psl->bone_selection); - GPU_framebuffer_bind(dfbl->depth_only_fb); - GPU_framebuffer_clear_depth(dfbl->depth_only_fb, 1.0); - GPU_framebuffer_bind(dfbl->default_fb); - } - - DRW_draw_pass(psl->bone_envelope[0]); - DRW_draw_pass(psl->bone_transp[0]); - - MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); - - DRW_draw_pass(psl->bone_solid[0]); - DRW_draw_pass(psl->bone_outline[0]); - DRW_draw_pass(psl->bone_wire[0]); - DRW_draw_pass(psl->relationship[0]); - - MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); - - if (!DRW_pass_is_empty(psl->bone_envelope[1]) || - !DRW_pass_is_empty(psl->bone_transp[1]) || - !DRW_pass_is_empty(psl->bone_solid[1]) || - !DRW_pass_is_empty(psl->bone_outline[1]) || - !DRW_pass_is_empty(psl->bone_wire[1]) || - !DRW_pass_is_empty(psl->relationship[1])) - { - if (DRW_state_is_fbo()) { - GPU_framebuffer_bind(dfbl->default_fb); - GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); - } - - DRW_draw_pass(psl->bone_envelope[1]); - DRW_draw_pass(psl->bone_solid[1]); - DRW_draw_pass(psl->bone_transp[1]); - DRW_draw_pass(psl->bone_outline[1]); - DRW_draw_pass(psl->bone_wire[1]); - DRW_draw_pass(psl->relationship[1]); - } - - /* Draw axes with linesmooth and outside of multisample buffer. */ - DRW_draw_pass(psl->bone_axes); + POSE_PassList *psl = ((POSE_Data *)vedata)->psl; + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + const bool bone_selection_overlay = POSE_is_bone_selection_overlay_active(); + + if (DRW_state_is_select()) { + DRW_draw_pass(psl->bone_outline[0]); + DRW_draw_pass(psl->bone_solid[0]); + DRW_draw_pass(psl->bone_wire[0]); + DRW_draw_pass(psl->bone_outline[1]); + DRW_draw_pass(psl->bone_solid[1]); + DRW_draw_pass(psl->bone_wire[1]); + return; + } + + if (bone_selection_overlay) { + GPU_framebuffer_bind(dfbl->default_fb); + DRW_draw_pass(psl->bone_selection); + GPU_framebuffer_bind(dfbl->depth_only_fb); + GPU_framebuffer_clear_depth(dfbl->depth_only_fb, 1.0); + GPU_framebuffer_bind(dfbl->default_fb); + } + + DRW_draw_pass(psl->bone_envelope[0]); + DRW_draw_pass(psl->bone_transp[0]); + + MULTISAMPLE_SYNC_ENABLE(dfbl, dtxl); + + DRW_draw_pass(psl->bone_solid[0]); + DRW_draw_pass(psl->bone_outline[0]); + DRW_draw_pass(psl->bone_wire[0]); + DRW_draw_pass(psl->relationship[0]); + + MULTISAMPLE_SYNC_DISABLE(dfbl, dtxl); + + if (!DRW_pass_is_empty(psl->bone_envelope[1]) || !DRW_pass_is_empty(psl->bone_transp[1]) || + !DRW_pass_is_empty(psl->bone_solid[1]) || !DRW_pass_is_empty(psl->bone_outline[1]) || + !DRW_pass_is_empty(psl->bone_wire[1]) || !DRW_pass_is_empty(psl->relationship[1])) { + if (DRW_state_is_fbo()) { + GPU_framebuffer_bind(dfbl->default_fb); + GPU_framebuffer_clear_depth(dfbl->default_fb, 1.0f); + } + + DRW_draw_pass(psl->bone_envelope[1]); + DRW_draw_pass(psl->bone_solid[1]); + DRW_draw_pass(psl->bone_transp[1]); + DRW_draw_pass(psl->bone_outline[1]); + DRW_draw_pass(psl->bone_wire[1]); + DRW_draw_pass(psl->relationship[1]); + } + + /* Draw axes with linesmooth and outside of multisample buffer. */ + DRW_draw_pass(psl->bone_axes); } static const DrawEngineDataSize POSE_data_size = DRW_VIEWPORT_DATA_SIZE(POSE_Data); DrawEngineType draw_engine_pose_type = { - NULL, NULL, - N_("PoseMode"), - &POSE_data_size, - &POSE_engine_init, - &POSE_engine_free, - &POSE_cache_init, - &POSE_cache_populate, - NULL, - NULL, - &POSE_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("PoseMode"), + &POSE_data_size, + &POSE_engine_init, + &POSE_engine_free, + &POSE_cache_init, + &POSE_cache_populate, + NULL, + NULL, + &POSE_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/sculpt_mode.c b/source/blender/draw/modes/sculpt_mode.c index ead539bc30f..b25a8af795b 100644 --- a/source/blender/draw/modes/sculpt_mode.c +++ b/source/blender/draw/modes/sculpt_mode.c @@ -48,60 +48,60 @@ extern char datatoc_gpu_shader_3D_smooth_color_frag_glsl[]; * for SCULPT_PassList */ typedef struct SCULPT_PassList { - /* Declare all passes here and init them in - * SCULPT_cache_init(). - * Only contains (DRWPass *) */ - struct DRWPass *pass; + /* Declare all passes here and init them in + * SCULPT_cache_init(). + * Only contains (DRWPass *) */ + struct DRWPass *pass; } SCULPT_PassList; typedef struct SCULPT_FramebufferList { - /* Contains all framebuffer objects needed by this engine. - * Only contains (GPUFrameBuffer *) */ - struct GPUFrameBuffer *fb; + /* Contains all framebuffer objects needed by this engine. + * Only contains (GPUFrameBuffer *) */ + struct GPUFrameBuffer *fb; } SCULPT_FramebufferList; typedef struct SCULPT_TextureList { - /* Contains all framebuffer textures / utility textures - * needed by this engine. Only viewport specific textures - * (not per object). Only contains (GPUTexture *) */ - struct GPUTexture *texture; + /* Contains all framebuffer textures / utility textures + * needed by this engine. Only viewport specific textures + * (not per object). Only contains (GPUTexture *) */ + struct GPUTexture *texture; } SCULPT_TextureList; typedef struct SCULPT_StorageList { - /* Contains any other memory block that the engine needs. - * Only directly MEM_(m/c)allocN'ed blocks because they are - * free with MEM_freeN() when viewport is freed. - * (not per object) */ - struct CustomStruct *block; - struct SCULPT_PrivateData *g_data; + /* Contains any other memory block that the engine needs. + * Only directly MEM_(m/c)allocN'ed blocks because they are + * free with MEM_freeN() when viewport is freed. + * (not per object) */ + struct CustomStruct *block; + struct SCULPT_PrivateData *g_data; } SCULPT_StorageList; typedef struct SCULPT_Data { - /* Struct returned by DRW_viewport_engine_data_ensure. - * If you don't use one of these, just make it a (void *) */ - // void *fbl; - void *engine_type; /* Required */ - SCULPT_FramebufferList *fbl; - SCULPT_TextureList *txl; - SCULPT_PassList *psl; - SCULPT_StorageList *stl; + /* Struct returned by DRW_viewport_engine_data_ensure. + * If you don't use one of these, just make it a (void *) */ + // void *fbl; + void *engine_type; /* Required */ + SCULPT_FramebufferList *fbl; + SCULPT_TextureList *txl; + SCULPT_PassList *psl; + SCULPT_StorageList *stl; } SCULPT_Data; /* *********** STATIC *********** */ static struct { - /* Custom shaders : - * Add sources to source/blender/draw/modes/shaders - * init in SCULPT_engine_init(); - * free in SCULPT_engine_free(); */ - struct GPUShader *shader_smooth; + /* Custom shaders : + * Add sources to source/blender/draw/modes/shaders + * init in SCULPT_engine_init(); + * free in SCULPT_engine_free(); */ + struct GPUShader *shader_smooth; } e_data = {NULL}; /* Engine data */ typedef struct SCULPT_PrivateData { - /* This keeps the references of the shading groups for - * easy access in SCULPT_cache_populate() */ - DRWShadingGroup *group_flat; - DRWShadingGroup *group_smooth; + /* This keeps the references of the shading groups for + * easy access in SCULPT_cache_populate() */ + DRWShadingGroup *group_flat; + DRWShadingGroup *group_smooth; } SCULPT_PrivateData; /* Transient data */ /* *********** FUNCTIONS *********** */ @@ -111,137 +111,143 @@ typedef struct SCULPT_PrivateData { * (Optional) */ static void SCULPT_engine_init(void *vedata) { - SCULPT_TextureList *txl = ((SCULPT_Data *)vedata)->txl; - SCULPT_FramebufferList *fbl = ((SCULPT_Data *)vedata)->fbl; - SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; + SCULPT_TextureList *txl = ((SCULPT_Data *)vedata)->txl; + SCULPT_FramebufferList *fbl = ((SCULPT_Data *)vedata)->fbl; + SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; - UNUSED_VARS(txl, fbl, stl); + UNUSED_VARS(txl, fbl, stl); - if (!e_data.shader_smooth) { - e_data.shader_smooth = DRW_shader_create(datatoc_sculpt_mask_vert_glsl, NULL, - datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL); - } + if (!e_data.shader_smooth) { + e_data.shader_smooth = DRW_shader_create( + datatoc_sculpt_mask_vert_glsl, NULL, datatoc_gpu_shader_3D_smooth_color_frag_glsl, NULL); + } } /* Here init all passes and shading groups * Assume that all Passes are NULL */ static void SCULPT_cache_init(void *vedata) { - SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; - SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; - - if (!stl->g_data) { - stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); - } - - { - DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY; - psl->pass = DRW_pass_create("Sculpt Pass", state); - stl->g_data->group_smooth = DRW_shgroup_create(e_data.shader_smooth, psl->pass); - } + SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; + SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; + + if (!stl->g_data) { + stl->g_data = MEM_mallocN(sizeof(*stl->g_data), __func__); + } + + { + DRWState state = DRW_STATE_WRITE_COLOR | DRW_STATE_DEPTH_EQUAL | DRW_STATE_MULTIPLY; + psl->pass = DRW_pass_create("Sculpt Pass", state); + stl->g_data->group_smooth = DRW_shgroup_create(e_data.shader_smooth, psl->pass); + } } -static void sculpt_draw_mask_cb( - DRWShadingGroup *shgroup, - void (*draw_fn)(DRWShadingGroup *shgroup, struct GPUBatch *geom), - void *user_data) +static void sculpt_draw_mask_cb(DRWShadingGroup *shgroup, + void (*draw_fn)(DRWShadingGroup *shgroup, struct GPUBatch *geom), + void *user_data) { - Object *ob = user_data; - PBVH *pbvh = ob->sculpt->pbvh; - - if (pbvh) { - BKE_pbvh_draw_cb( - pbvh, NULL, NULL, false, false, true, - (void (*)(void *, struct GPUBatch *))draw_fn, shgroup); - } + Object *ob = user_data; + PBVH *pbvh = ob->sculpt->pbvh; + + if (pbvh) { + BKE_pbvh_draw_cb(pbvh, + NULL, + NULL, + false, + false, + true, + (void (*)(void *, struct GPUBatch *))draw_fn, + shgroup); + } } static void sculpt_update_pbvh_normals(Object *object) { - Mesh *mesh = object->data; - PBVH *pbvh = object->sculpt->pbvh; - SubdivCCG *subdiv_ccg = mesh->runtime.subdiv_ccg; - if (pbvh == NULL || subdiv_ccg == NULL) { - return; - } - BKE_sculpt_bvh_update_from_ccg(pbvh, subdiv_ccg); - struct CCGFace **faces; - int num_faces; - BKE_pbvh_get_grid_updates(pbvh, 1, (void ***)&faces, &num_faces); - if (num_faces > 0) { - BKE_subdiv_ccg_update_normals(subdiv_ccg, faces, num_faces); - MEM_freeN(faces); - } + Mesh *mesh = object->data; + PBVH *pbvh = object->sculpt->pbvh; + SubdivCCG *subdiv_ccg = mesh->runtime.subdiv_ccg; + if (pbvh == NULL || subdiv_ccg == NULL) { + return; + } + BKE_sculpt_bvh_update_from_ccg(pbvh, subdiv_ccg); + struct CCGFace **faces; + int num_faces; + BKE_pbvh_get_grid_updates(pbvh, 1, (void ***)&faces, &num_faces); + if (num_faces > 0) { + BKE_subdiv_ccg_update_normals(subdiv_ccg, faces, num_faces); + MEM_freeN(faces); + } } /* Add geometry to shadingGroups. Execute for each objects */ static void SCULPT_cache_populate(void *vedata, Object *ob) { - SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; - SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; - - UNUSED_VARS(psl, stl); - - if (ob->type == OB_MESH) { - const DRWContextState *draw_ctx = DRW_context_state_get(); - - if (ob->sculpt && (ob == draw_ctx->obact)) { - sculpt_update_pbvh_normals(ob); - - /* XXX, needed for dyntopo-undo (which clears). - * probably depsgraph should handlle? in 2.7x getting derived-mesh does this (mesh_build_data) */ - if (ob->sculpt->pbvh == NULL) { - /* create PBVH immediately (would be created on the fly too, - * but this avoids waiting on first stroke) */ - Scene *scene = draw_ctx->scene; - - BKE_sculpt_update_mesh_elements(draw_ctx->depsgraph, scene, scene->toolsettings->sculpt, ob, false, false); - } - - PBVH *pbvh = ob->sculpt->pbvh; - if (pbvh && pbvh_has_mask(pbvh)) { - DRW_shgroup_call_generate_add(stl->g_data->group_smooth, sculpt_draw_mask_cb, ob, ob->obmat); - } - } - } + SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; + SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; + + UNUSED_VARS(psl, stl); + + if (ob->type == OB_MESH) { + const DRWContextState *draw_ctx = DRW_context_state_get(); + + if (ob->sculpt && (ob == draw_ctx->obact)) { + sculpt_update_pbvh_normals(ob); + + /* XXX, needed for dyntopo-undo (which clears). + * probably depsgraph should handlle? in 2.7x getting derived-mesh does this (mesh_build_data) */ + if (ob->sculpt->pbvh == NULL) { + /* create PBVH immediately (would be created on the fly too, + * but this avoids waiting on first stroke) */ + Scene *scene = draw_ctx->scene; + + BKE_sculpt_update_mesh_elements( + draw_ctx->depsgraph, scene, scene->toolsettings->sculpt, ob, false, false); + } + + PBVH *pbvh = ob->sculpt->pbvh; + if (pbvh && pbvh_has_mask(pbvh)) { + DRW_shgroup_call_generate_add( + stl->g_data->group_smooth, sculpt_draw_mask_cb, ob, ob->obmat); + } + } + } } /* Optional: Post-cache_populate callback */ static void SCULPT_cache_finish(void *vedata) { - SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; - SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; + SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; + SCULPT_StorageList *stl = ((SCULPT_Data *)vedata)->stl; - /* Do something here! dependent on the objects gathered */ - UNUSED_VARS(psl, stl); + /* Do something here! dependent on the objects gathered */ + UNUSED_VARS(psl, stl); } /* Draw time ! Control rendering pipeline from here */ static void SCULPT_draw_scene(void *vedata) { - SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; - SCULPT_FramebufferList *fbl = ((SCULPT_Data *)vedata)->fbl; + SCULPT_PassList *psl = ((SCULPT_Data *)vedata)->psl; + SCULPT_FramebufferList *fbl = ((SCULPT_Data *)vedata)->fbl; - /* Default framebuffer and texture */ - DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); - DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); + /* Default framebuffer and texture */ + DefaultFramebufferList *dfbl = DRW_viewport_framebuffer_list_get(); + DefaultTextureList *dtxl = DRW_viewport_texture_list_get(); - UNUSED_VARS(fbl, dfbl, dtxl); + UNUSED_VARS(fbl, dfbl, dtxl); - /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ - /* - * DRW_framebuffer_texture_detach(dtxl->depth); - * DRW_framebuffer_bind(fbl->custom_fb); - * DRW_draw_pass(psl->pass); - * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); - * DRW_framebuffer_bind(dfbl->default_fb); - */ + /* Show / hide entire passes, swap framebuffers ... whatever you fancy */ + /* + * DRW_framebuffer_texture_detach(dtxl->depth); + * DRW_framebuffer_bind(fbl->custom_fb); + * DRW_draw_pass(psl->pass); + * DRW_framebuffer_texture_attach(dfbl->default_fb, dtxl->depth, 0, 0); + * DRW_framebuffer_bind(dfbl->default_fb); + */ - /* ... or just render passes on default framebuffer. */ - DRW_draw_pass(psl->pass); + /* ... or just render passes on default framebuffer. */ + DRW_draw_pass(psl->pass); - /* If you changed framebuffer, double check you rebind - * the default one with its textures attached before finishing */ + /* If you changed framebuffer, double check you rebind + * the default one with its textures attached before finishing */ } /* Cleanup when destroying the engine. @@ -249,22 +255,23 @@ static void SCULPT_draw_scene(void *vedata) * Mostly used for freeing shaders */ static void SCULPT_engine_free(void) { - DRW_SHADER_FREE_SAFE(e_data.shader_smooth); + DRW_SHADER_FREE_SAFE(e_data.shader_smooth); } static const DrawEngineDataSize SCULPT_data_size = DRW_VIEWPORT_DATA_SIZE(SCULPT_Data); DrawEngineType draw_engine_sculpt_type = { - NULL, NULL, - N_("SculptMode"), - &SCULPT_data_size, - &SCULPT_engine_init, - &SCULPT_engine_free, - &SCULPT_cache_init, - &SCULPT_cache_populate, - &SCULPT_cache_finish, - NULL, /* draw_background but not needed by mode engines */ - &SCULPT_draw_scene, - NULL, - NULL, + NULL, + NULL, + N_("SculptMode"), + &SCULPT_data_size, + &SCULPT_engine_init, + &SCULPT_engine_free, + &SCULPT_cache_init, + &SCULPT_cache_populate, + &SCULPT_cache_finish, + NULL, /* draw_background but not needed by mode engines */ + &SCULPT_draw_scene, + NULL, + NULL, }; diff --git a/source/blender/draw/modes/shaders/animviz_mpath_lines_geom.glsl b/source/blender/draw/modes/shaders/animviz_mpath_lines_geom.glsl index d9d59880e99..b81f9f639ca 100644 --- a/source/blender/draw/modes/shaders/animviz_mpath_lines_geom.glsl +++ b/source/blender/draw/modes/shaders/animviz_mpath_lines_geom.glsl @@ -13,26 +13,30 @@ out vec4 finalColor; vec2 compute_dir(vec2 v0, vec2 v1) { - vec2 dir = normalize(v1 - v0 + 1e-8); - dir = vec2(-dir.y, dir.x); - return dir; + vec2 dir = normalize(v1 - v0 + 1e-8); + dir = vec2(-dir.y, dir.x); + return dir; } void main(void) { - vec2 t; - vec2 edge_dir = compute_dir(ssPos[0], ssPos[1]) / viewportSize; - - bool is_persp = (ProjectionMatrix[3][3] == 0.0); - - finalColor = finalColor_geom[0]; - t = edge_dir * (float(lineThickness) * (is_persp ? gl_in[0].gl_Position.w : 1.0)); - gl_Position = gl_in[0].gl_Position + vec4(t, 0.0, 0.0); EmitVertex(); - gl_Position = gl_in[0].gl_Position - vec4(t, 0.0, 0.0); EmitVertex(); - - finalColor = finalColor_geom[1]; - t = edge_dir * (float(lineThickness) * (is_persp ? gl_in[1].gl_Position.w : 1.0)); - gl_Position = gl_in[1].gl_Position + vec4(t, 0.0, 0.0); EmitVertex(); - gl_Position = gl_in[1].gl_Position - vec4(t, 0.0, 0.0); EmitVertex(); - EndPrimitive(); + vec2 t; + vec2 edge_dir = compute_dir(ssPos[0], ssPos[1]) / viewportSize; + + bool is_persp = (ProjectionMatrix[3][3] == 0.0); + + finalColor = finalColor_geom[0]; + t = edge_dir * (float(lineThickness) * (is_persp ? gl_in[0].gl_Position.w : 1.0)); + gl_Position = gl_in[0].gl_Position + vec4(t, 0.0, 0.0); + EmitVertex(); + gl_Position = gl_in[0].gl_Position - vec4(t, 0.0, 0.0); + EmitVertex(); + + finalColor = finalColor_geom[1]; + t = edge_dir * (float(lineThickness) * (is_persp ? gl_in[1].gl_Position.w : 1.0)); + gl_Position = gl_in[1].gl_Position + vec4(t, 0.0, 0.0); + EmitVertex(); + gl_Position = gl_in[1].gl_Position - vec4(t, 0.0, 0.0); + EmitVertex(); + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/animviz_mpath_lines_vert.glsl b/source/blender/draw/modes/shaders/animviz_mpath_lines_vert.glsl index 276f4004fb6..b4d8abfe180 100644 --- a/source/blender/draw/modes/shaders/animviz_mpath_lines_vert.glsl +++ b/source/blender/draw/modes/shaders/animviz_mpath_lines_vert.glsl @@ -19,73 +19,77 @@ out vec4 finalColor_geom; /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } -#define SET_INTENSITY(A, B, C, min, max) (((1.0 - (float(C - B) / float(C - A))) * (max - min)) + min) +#define SET_INTENSITY(A, B, C, min, max) \ + (((1.0 - (float(C - B) / float(C - A))) * (max - min)) + min) void main() { - gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); - ssPos = proj(gl_Position); + ssPos = proj(gl_Position); - int frame = gl_VertexID + cacheStart; + int frame = gl_VertexID + cacheStart; - float intensity; /* how faint */ + float intensity; /* how faint */ - vec3 blend_base = (abs(frame - frameCurrent) == 1) ? colorCurrentFrame.rgb : colorBackground.rgb; /* "bleed" cframe color to ease color blending */ + vec3 blend_base = (abs(frame - frameCurrent) == 1) ? + colorCurrentFrame.rgb : + colorBackground.rgb; /* "bleed" cframe color to ease color blending */ - /* TODO: We might want something more consistent with custom color and standard colors. */ - if (frame < frameCurrent) { - if (useCustomColor) { - /* Custom color: previous frames color is darker than current frame */ - finalColor_geom.rgb = customColor * 0.25; - } - else { - /* black - before frameCurrent */ - if (selected) { - intensity = SET_INTENSITY(frameStart, frame, frameCurrent, 0.25, 0.75); - } - else { - intensity = SET_INTENSITY(frameStart, frame, frameCurrent, 0.68, 0.92); - } - finalColor_geom.rgb = mix(colorWire.rgb, blend_base, intensity); - } - } - else if (frame > frameCurrent) { - if (useCustomColor) { - /* Custom color: next frames color is equal to user selected color */ - finalColor_geom.rgb = customColor; - } - else { - /* blue - after frameCurrent */ - if (selected) { - intensity = SET_INTENSITY(frameCurrent, frame, frameEnd, 0.25, 0.75); - } - else { - intensity = SET_INTENSITY(frameCurrent, frame, frameEnd, 0.68, 0.92); - } + /* TODO: We might want something more consistent with custom color and standard colors. */ + if (frame < frameCurrent) { + if (useCustomColor) { + /* Custom color: previous frames color is darker than current frame */ + finalColor_geom.rgb = customColor * 0.25; + } + else { + /* black - before frameCurrent */ + if (selected) { + intensity = SET_INTENSITY(frameStart, frame, frameCurrent, 0.25, 0.75); + } + else { + intensity = SET_INTENSITY(frameStart, frame, frameCurrent, 0.68, 0.92); + } + finalColor_geom.rgb = mix(colorWire.rgb, blend_base, intensity); + } + } + else if (frame > frameCurrent) { + if (useCustomColor) { + /* Custom color: next frames color is equal to user selected color */ + finalColor_geom.rgb = customColor; + } + else { + /* blue - after frameCurrent */ + if (selected) { + intensity = SET_INTENSITY(frameCurrent, frame, frameEnd, 0.25, 0.75); + } + else { + intensity = SET_INTENSITY(frameCurrent, frame, frameEnd, 0.68, 0.92); + } - finalColor_geom.rgb = mix(colorBonePose.rgb, blend_base, intensity); - } - } - else { - if (useCustomColor) { - /* Custom color: current frame color is slightly darker than user selected color */ - finalColor_geom.rgb = customColor * 0.5; - } - else { - /* green - on frameCurrent */ - if (selected) { - intensity = 0.5f; - } - else { - intensity = 0.99f; - } - finalColor_geom.rgb = clamp(mix(colorCurrentFrame.rgb, colorBackground.rgb, intensity) - 0.1, 0.0, 0.1); - } - } + finalColor_geom.rgb = mix(colorBonePose.rgb, blend_base, intensity); + } + } + else { + if (useCustomColor) { + /* Custom color: current frame color is slightly darker than user selected color */ + finalColor_geom.rgb = customColor * 0.5; + } + else { + /* green - on frameCurrent */ + if (selected) { + intensity = 0.5f; + } + else { + intensity = 0.99f; + } + finalColor_geom.rgb = clamp( + mix(colorCurrentFrame.rgb, colorBackground.rgb, intensity) - 0.1, 0.0, 0.1); + } + } - finalColor_geom.a = 1.0; + finalColor_geom.a = 1.0; } diff --git a/source/blender/draw/modes/shaders/animviz_mpath_points_vert.glsl b/source/blender/draw/modes/shaders/animviz_mpath_points_vert.glsl index f662cf5afde..70267e78d9e 100644 --- a/source/blender/draw/modes/shaders/animviz_mpath_points_vert.glsl +++ b/source/blender/draw/modes/shaders/animviz_mpath_points_vert.glsl @@ -19,34 +19,34 @@ out vec4 finalColor; void main() { - gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); - gl_PointSize = float(pointSize + 2); - - int frame = gl_VertexID + cacheStart; - finalColor = (useCustomColor) ? vec4(customColor, 1.0) : vec4(1.0); - - /* Bias to reduce z fighting with the path */ - gl_Position.z -= 1e-4; - - if (gl_VertexID % stepSize == 0) { - gl_PointSize = float(pointSize) + 4; - } - - if (showKeyFrames) { - if ((flag & MOTIONPATH_VERT_KEY) != 0) { - gl_PointSize = float(pointSize + 5); - finalColor = colorVertexSelect; - /* Bias more to get these on top of regular points */ - gl_Position.z -= 1e-4; - } - /* Draw big green dot where the current frame is. - * NOTE: this is only done when keyframes are shown, since this adds similar types of clutter - */ - if (frame == frameCurrent) { - gl_PointSize = float(pointSize + 8); - finalColor = colorCurrentFrame; - /* Bias more to get these on top of keyframes */ - gl_Position.z -= 1e-4; - } - } + gl_Position = ViewProjectionMatrix * vec4(pos, 1.0); + gl_PointSize = float(pointSize + 2); + + int frame = gl_VertexID + cacheStart; + finalColor = (useCustomColor) ? vec4(customColor, 1.0) : vec4(1.0); + + /* Bias to reduce z fighting with the path */ + gl_Position.z -= 1e-4; + + if (gl_VertexID % stepSize == 0) { + gl_PointSize = float(pointSize) + 4; + } + + if (showKeyFrames) { + if ((flag & MOTIONPATH_VERT_KEY) != 0) { + gl_PointSize = float(pointSize + 5); + finalColor = colorVertexSelect; + /* Bias more to get these on top of regular points */ + gl_Position.z -= 1e-4; + } + /* Draw big green dot where the current frame is. + * NOTE: this is only done when keyframes are shown, since this adds similar types of clutter + */ + if (frame == frameCurrent) { + gl_PointSize = float(pointSize + 8); + finalColor = colorCurrentFrame; + /* Bias more to get these on top of keyframes */ + gl_Position.z -= 1e-4; + } + } } diff --git a/source/blender/draw/modes/shaders/armature_axes_vert.glsl b/source/blender/draw/modes/shaders/armature_axes_vert.glsl index ac640f0c303..a689dce4d70 100644 --- a/source/blender/draw/modes/shaders/armature_axes_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_axes_vert.glsl @@ -17,21 +17,21 @@ flat out vec4 finalColor; void main() { - vec3 chosen_axis = InstanceModelMatrix[int(axis)].xyz; - vec3 y_axis = InstanceModelMatrix[1].xyz; - vec3 bone_loc = InstanceModelMatrix[3].xyz; - vec3 wpos = bone_loc + y_axis + chosen_axis * fract(axis); - vec3 spos = screenVecs[0].xyz * screenPos.x + screenVecs[1].xyz * screenPos.y; - /* Scale uniformly by axis length */ - spos *= length(chosen_axis); + vec3 chosen_axis = InstanceModelMatrix[int(axis)].xyz; + vec3 y_axis = InstanceModelMatrix[1].xyz; + vec3 bone_loc = InstanceModelMatrix[3].xyz; + vec3 wpos = bone_loc + y_axis + chosen_axis * fract(axis); + vec3 spos = screenVecs[0].xyz * screenPos.x + screenVecs[1].xyz * screenPos.y; + /* Scale uniformly by axis length */ + spos *= length(chosen_axis); - vec4 pos_4d = vec4(wpos + spos, 1.0); - gl_Position = ViewProjectionMatrix * pos_4d; + vec4 pos_4d = vec4(wpos + spos, 1.0); + gl_Position = ViewProjectionMatrix * pos_4d; - finalColor.rgb = mix(colorAxis, color.rgb, color.a); - finalColor.a = 1.0; + finalColor.rgb = mix(colorAxis, color.rgb, color.a); + finalColor.a = 1.0; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_dof_vert.glsl b/source/blender/draw/modes/shaders/armature_dof_vert.glsl index d9d56862140..321614835a1 100644 --- a/source/blender/draw/modes/shaders/armature_dof_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_dof_vert.glsl @@ -15,16 +15,16 @@ flat out vec4 finalColor; vec3 sphere_project(float ax, float az) { - float sine = 1.0 - ax * ax - az * az; - float q3 = sqrt(max(0.0, sine)); + float sine = 1.0 - ax * ax - az * az; + float q3 = sqrt(max(0.0, sine)); - return vec3(-az * q3, 0.5 - sine, ax * q3) * 2.0; + return vec3(-az * q3, 0.5 - sine, ax * q3) * 2.0; } void main() { - vec3 final_pos = sphere_project(pos.x * abs((pos.x > 0.0) ? amax.x : amin.x), - pos.y * abs((pos.y > 0.0) ? amax.y : amin.y)); - gl_Position = ViewProjectionMatrix * (InstanceModelMatrix * vec4(final_pos, 1.0)); - finalColor = color; + vec3 final_pos = sphere_project(pos.x * abs((pos.x > 0.0) ? amax.x : amin.x), + pos.y * abs((pos.y > 0.0) ? amax.y : amin.y)); + gl_Position = ViewProjectionMatrix * (InstanceModelMatrix * vec4(final_pos, 1.0)); + finalColor = color; } diff --git a/source/blender/draw/modes/shaders/armature_envelope_distance_frag.glsl b/source/blender/draw/modes/shaders/armature_envelope_distance_frag.glsl index cecc5447c7c..61aaf153e83 100644 --- a/source/blender/draw/modes/shaders/armature_envelope_distance_frag.glsl +++ b/source/blender/draw/modes/shaders/armature_envelope_distance_frag.glsl @@ -1,6 +1,6 @@ flat in vec3 finalStateColor; /* UNUSED */ -flat in vec3 finalBoneColor; /* UNUSED */ +flat in vec3 finalBoneColor; /* UNUSED */ in vec3 normalView; out vec4 fragColor; @@ -9,7 +9,7 @@ uniform vec4 color = vec4(1.0, 1.0, 1.0, 0.2); void main() { - float n = normalize(normalView).z; - n = 1.0 - clamp(-n, 0.0, 1.0); - fragColor = color * n; + float n = normalize(normalView).z; + n = 1.0 - clamp(-n, 0.0, 1.0); + fragColor = color * n; } diff --git a/source/blender/draw/modes/shaders/armature_envelope_outline_vert.glsl b/source/blender/draw/modes/shaders/armature_envelope_outline_vert.glsl index 7e78f600518..1e7fc4d11b8 100644 --- a/source/blender/draw/modes/shaders/armature_envelope_outline_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_envelope_outline_vert.glsl @@ -27,139 +27,148 @@ flat out vec4 finalColor; /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } vec2 compute_dir(vec2 v0, vec2 v1, vec2 v2) { - vec2 dir = normalize(v2 - v0); - dir = vec2(dir.y, -dir.x); - return dir; + vec2 dir = normalize(v2 - v0); + dir = vec2(dir.y, -dir.x); + return dir; } mat3 compute_mat(vec4 sphere, vec3 bone_vec, out float z_ofs) { - bool is_persp = (ProjectionMatrix[3][3] == 0.0); - vec3 cam_ray = (is_persp) ? sphere.xyz - ViewMatrixInverse[3].xyz - : -ViewMatrixInverse[2].xyz; - - /* Sphere center distance from the camera (persp) in world space. */ - float cam_dist = length(cam_ray); - - /* Compute view aligned orthonormal space. */ - vec3 z_axis = cam_ray / cam_dist; - vec3 x_axis = normalize(cross(bone_vec, z_axis)); - vec3 y_axis = cross(z_axis, x_axis); - z_ofs = 0.0; - - if (is_persp) { - /* For perspective, the projected sphere radius - * can be bigger than the center disc. Compute the - * max angular size and compensate by sliding the disc - * towards the camera and scale it accordingly. */ - const float half_pi = 3.1415926 * 0.5; - float rad = sphere.w; - /* Let be : - * V the view vector origin. - * O the sphere origin. - * T the point on the target circle. - * We compute the angle between (OV) and (OT). */ - float a = half_pi - asin(rad / cam_dist); - float cos_b = cos(a); - float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); - - x_axis *= sin_b; - y_axis *= sin_b; - z_ofs = -rad * cos_b; - } - - return mat3(x_axis, y_axis, z_axis); + bool is_persp = (ProjectionMatrix[3][3] == 0.0); + vec3 cam_ray = (is_persp) ? sphere.xyz - ViewMatrixInverse[3].xyz : -ViewMatrixInverse[2].xyz; + + /* Sphere center distance from the camera (persp) in world space. */ + float cam_dist = length(cam_ray); + + /* Compute view aligned orthonormal space. */ + vec3 z_axis = cam_ray / cam_dist; + vec3 x_axis = normalize(cross(bone_vec, z_axis)); + vec3 y_axis = cross(z_axis, x_axis); + z_ofs = 0.0; + + if (is_persp) { + /* For perspective, the projected sphere radius + * can be bigger than the center disc. Compute the + * max angular size and compensate by sliding the disc + * towards the camera and scale it accordingly. */ + const float half_pi = 3.1415926 * 0.5; + float rad = sphere.w; + /* Let be : + * V the view vector origin. + * O the sphere origin. + * T the point on the target circle. + * We compute the angle between (OV) and (OT). */ + float a = half_pi - asin(rad / cam_dist); + float cos_b = cos(a); + float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); + + x_axis *= sin_b; + y_axis *= sin_b; + z_ofs = -rad * cos_b; + } + + return mat3(x_axis, y_axis, z_axis); } -struct Bone { vec3 vec; float sinb; }; +struct Bone { + vec3 vec; + float sinb; +}; bool bone_blend_starts(vec3 p, Bone b) { - /* we just want to know when the head sphere starts interpolating. */ - return dot(p, b.vec) > -b.sinb; + /* we just want to know when the head sphere starts interpolating. */ + return dot(p, b.vec) > -b.sinb; } -vec3 get_outline_point( - vec2 pos, vec4 sph_near, vec4 sph_far, - mat3 mat_near, mat3 mat_far, float z_ofs_near, float z_ofs_far, Bone b) +vec3 get_outline_point(vec2 pos, + vec4 sph_near, + vec4 sph_far, + mat3 mat_near, + mat3 mat_far, + float z_ofs_near, + float z_ofs_far, + Bone b) { - /* Compute outline position on the nearest sphere and check - * if it penetrates the capsule body. If it does, put this - * vertex on the farthest sphere. */ - vec3 wpos = mat_near * vec3(pos * sph_near.w, z_ofs_near); - if (bone_blend_starts(wpos, b)) { - wpos = sph_far.xyz + mat_far * vec3(pos * sph_far.w, z_ofs_far); - } - else { - wpos += sph_near.xyz; - } - return wpos; + /* Compute outline position on the nearest sphere and check + * if it penetrates the capsule body. If it does, put this + * vertex on the farthest sphere. */ + vec3 wpos = mat_near * vec3(pos * sph_near.w, z_ofs_near); + if (bone_blend_starts(wpos, b)) { + wpos = sph_far.xyz + mat_far * vec3(pos * sph_far.w, z_ofs_far); + } + else { + wpos += sph_near.xyz; + } + return wpos; } void main() { - float dst_head = distance(headSphere.xyz, ViewMatrixInverse[3].xyz); - float dst_tail = distance(tailSphere.xyz, ViewMatrixInverse[3].xyz); - // float dst_head = -dot(headSphere.xyz, ViewMatrix[2].xyz); - // float dst_tail = -dot(tailSphere.xyz, ViewMatrix[2].xyz); - - vec4 sph_near, sph_far; - if ((dst_head > dst_tail) && (ProjectionMatrix[3][3] == 0.0)) { - sph_near = tailSphere; - sph_far = headSphere; - } - else { - sph_near = headSphere; - sph_far = tailSphere; - } - - vec3 bone_vec = (sph_far.xyz - sph_near.xyz) + 1e-8; - - Bone b; - float bone_lenrcp = 1.0 / max(1e-8, sqrt(dot(bone_vec, bone_vec))); - b.sinb = (sph_far.w - sph_near.w) * bone_lenrcp * sph_near.w; - b.vec = bone_vec * bone_lenrcp; - - float z_ofs_near, z_ofs_far; - mat3 mat_near = compute_mat(sph_near, bone_vec, z_ofs_near); - mat3 mat_far = compute_mat(sph_far, bone_vec, z_ofs_far); - - vec3 wpos0 = get_outline_point(pos0, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); - vec3 wpos1 = get_outline_point(pos1, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); - vec3 wpos2 = get_outline_point(pos2, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); - - - vec4 pos_4d = vec4(wpos1, 1.0); + float dst_head = distance(headSphere.xyz, ViewMatrixInverse[3].xyz); + float dst_tail = distance(tailSphere.xyz, ViewMatrixInverse[3].xyz); + // float dst_head = -dot(headSphere.xyz, ViewMatrix[2].xyz); + // float dst_tail = -dot(tailSphere.xyz, ViewMatrix[2].xyz); + + vec4 sph_near, sph_far; + if ((dst_head > dst_tail) && (ProjectionMatrix[3][3] == 0.0)) { + sph_near = tailSphere; + sph_far = headSphere; + } + else { + sph_near = headSphere; + sph_far = tailSphere; + } + + vec3 bone_vec = (sph_far.xyz - sph_near.xyz) + 1e-8; + + Bone b; + float bone_lenrcp = 1.0 / max(1e-8, sqrt(dot(bone_vec, bone_vec))); + b.sinb = (sph_far.w - sph_near.w) * bone_lenrcp * sph_near.w; + b.vec = bone_vec * bone_lenrcp; + + float z_ofs_near, z_ofs_far; + mat3 mat_near = compute_mat(sph_near, bone_vec, z_ofs_near); + mat3 mat_far = compute_mat(sph_far, bone_vec, z_ofs_far); + + vec3 wpos0 = get_outline_point( + pos0, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); + vec3 wpos1 = get_outline_point( + pos1, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); + vec3 wpos2 = get_outline_point( + pos2, sph_near, sph_far, mat_near, mat_far, z_ofs_near, z_ofs_far, b); + + vec4 pos_4d = vec4(wpos1, 1.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif - vec4 V = ViewMatrix * pos_4d; - float pres_fac = (ProjectionMatrix[3][3] == 0.0) ? abs(V.z) : 1.0; + vec4 V = ViewMatrix * pos_4d; + float pres_fac = (ProjectionMatrix[3][3] == 0.0) ? abs(V.z) : 1.0; - vec4 p0 = ViewProjectionMatrix * vec4(wpos0, 1.0); - vec4 p1 = ProjectionMatrix * V; - vec4 p2 = ViewProjectionMatrix * vec4(wpos2, 1.0); + vec4 p0 = ViewProjectionMatrix * vec4(wpos0, 1.0); + vec4 p1 = ProjectionMatrix * V; + vec4 p2 = ViewProjectionMatrix * vec4(wpos2, 1.0); - /* compute position from 3 vertex because the change in direction - * can happen very quicky and lead to very thin edges. */ - vec2 ss0 = proj(p0); - vec2 ss1 = proj(p1); - vec2 ss2 = proj(p2); - vec2 edge_dir = compute_dir(ss0, ss1, ss2); + /* compute position from 3 vertex because the change in direction + * can happen very quicky and lead to very thin edges. */ + vec2 ss0 = proj(p0); + vec2 ss1 = proj(p1); + vec2 ss2 = proj(p2); + vec2 edge_dir = compute_dir(ss0, ss1, ss2); - bool outer = ((gl_VertexID & 1) == 1); - vec2 t = outlineColorSize.w * (lineThickness / viewportSize); - t *= pres_fac; - t = (outer) ? t : vec2(0.0); + bool outer = ((gl_VertexID & 1) == 1); + vec2 t = outlineColorSize.w * (lineThickness / viewportSize); + t *= pres_fac; + t = (outer) ? t : vec2(0.0); - gl_Position = p1; - gl_Position.xy += t * edge_dir; + gl_Position = p1; + gl_Position.xy += t * edge_dir; - finalColor = vec4(outlineColorSize.rgb, 1.0); + finalColor = vec4(outlineColorSize.rgb, 1.0); } diff --git a/source/blender/draw/modes/shaders/armature_envelope_solid_frag.glsl b/source/blender/draw/modes/shaders/armature_envelope_solid_frag.glsl index 78b29296601..424cc92b930 100644 --- a/source/blender/draw/modes/shaders/armature_envelope_solid_frag.glsl +++ b/source/blender/draw/modes/shaders/armature_envelope_solid_frag.glsl @@ -9,10 +9,10 @@ out vec4 fragColor; void main() { - /* Smooth lighting factor. */ - const float s = 0.2; /* [0.0-0.5] range */ - float n = normalize(normalView).z; - float fac = clamp((n * (1.0 - s)) + s, 0.0, 1.0); - fragColor.rgb = mix(finalStateColor, finalBoneColor, fac); - fragColor.a = alpha; + /* Smooth lighting factor. */ + const float s = 0.2; /* [0.0-0.5] range */ + float n = normalize(normalView).z; + float fac = clamp((n * (1.0 - s)) + s, 0.0, 1.0); + fragColor.rgb = mix(finalStateColor, finalBoneColor, fac); + fragColor.a = alpha; } diff --git a/source/blender/draw/modes/shaders/armature_envelope_solid_vert.glsl b/source/blender/draw/modes/shaders/armature_envelope_solid_vert.glsl index 880c8c6262c..7f8ccc0c95a 100644 --- a/source/blender/draw/modes/shaders/armature_envelope_solid_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_envelope_solid_vert.glsl @@ -6,7 +6,6 @@ uniform mat4 ViewProjectionMatrix; uniform mat4 ModelMatrix; #endif - /* ---- Instantiated Attrs ---- */ in vec3 pos; @@ -24,40 +23,40 @@ out vec3 normalView; void main() { - vec3 bone_vec = tailSphere.xyz - headSphere.xyz; - float bone_len = max(1e-8, sqrt(dot(bone_vec, bone_vec))); - float bone_lenrcp = 1.0 / bone_len; + vec3 bone_vec = tailSphere.xyz - headSphere.xyz; + float bone_len = max(1e-8, sqrt(dot(bone_vec, bone_vec))); + float bone_lenrcp = 1.0 / bone_len; #ifdef SMOOTH_ENVELOPE - float sinb = (tailSphere.w - headSphere.w) * bone_lenrcp; + float sinb = (tailSphere.w - headSphere.w) * bone_lenrcp; #else - const float sinb = 0.0; + const float sinb = 0.0; #endif - vec3 y_axis = bone_vec * bone_lenrcp; - vec3 z_axis = normalize(cross(xAxis, -y_axis)); - vec3 x_axis = cross(y_axis, z_axis); /* cannot trust xAxis to be orthogonal. */ + vec3 y_axis = bone_vec * bone_lenrcp; + vec3 z_axis = normalize(cross(xAxis, -y_axis)); + vec3 x_axis = cross(y_axis, z_axis); /* cannot trust xAxis to be orthogonal. */ - vec3 sp, nor; - nor = sp = pos.xyz; + vec3 sp, nor; + nor = sp = pos.xyz; - /* In bone space */ - bool is_head = (pos.z < -sinb); - sp *= (is_head) ? headSphere.w : tailSphere.w; - sp.z += (is_head) ? 0.0 : bone_len; + /* In bone space */ + bool is_head = (pos.z < -sinb); + sp *= (is_head) ? headSphere.w : tailSphere.w; + sp.z += (is_head) ? 0.0 : bone_len; - /* Convert to world space */ - mat3 bone_mat = mat3(x_axis, y_axis, z_axis); - sp = bone_mat * sp.xzy + headSphere.xyz; - nor = bone_mat * nor.xzy; + /* Convert to world space */ + mat3 bone_mat = mat3(x_axis, y_axis, z_axis); + sp = bone_mat * sp.xzy + headSphere.xyz; + nor = bone_mat * nor.xzy; - normalView = mat3(ViewMatrix) * nor; + normalView = mat3(ViewMatrix) * nor; - finalStateColor = stateColor; - finalBoneColor = boneColor; + finalStateColor = stateColor; + finalBoneColor = boneColor; - vec4 pos_4d = vec4(sp, 1.0); - gl_Position = ViewProjectionMatrix * pos_4d; + vec4 pos_4d = vec4(sp, 1.0); + gl_Position = ViewProjectionMatrix * pos_4d; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_shape_outline_geom.glsl b/source/blender/draw/modes/shaders/armature_shape_outline_geom.glsl index 0fdd874f1fd..54315863a2e 100644 --- a/source/blender/draw/modes/shaders/armature_shape_outline_geom.glsl +++ b/source/blender/draw/modes/shaders/armature_shape_outline_geom.glsl @@ -15,104 +15,104 @@ uniform float lineThickness = 2.0; vec2 compute_dir(vec2 v0, vec2 v1) { - vec2 dir = normalize(v1 - v0); - dir = vec2(-dir.y, dir.x); - return dir; + vec2 dir = normalize(v1 - v0); + dir = vec2(-dir.y, dir.x); + return dir; } void emit_edge(vec2 edge_dir, vec2 hidden_dir, vec2 thick, bool is_persp) { - float fac = dot(-hidden_dir, edge_dir); - edge_dir *= (fac < 0.0) ? -1.0 : 1.0; + float fac = dot(-hidden_dir, edge_dir); + edge_dir *= (fac < 0.0) ? -1.0 : 1.0; - vec2 t = thick * (is_persp ? abs(vPos[1].z) : 1.0); - gl_Position = pPos[1]; + vec2 t = thick * (is_persp ? abs(vPos[1].z) : 1.0); + gl_Position = pPos[1]; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); #endif - EmitVertex(); - gl_Position.xy += t * edge_dir; + EmitVertex(); + gl_Position.xy += t * edge_dir; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); - t = thick * (is_persp ? abs(vPos[2].z) : 1.0); - gl_Position = pPos[2]; + t = thick * (is_persp ? abs(vPos[2].z) : 1.0); + gl_Position = pPos[2]; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[2].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[2].gl_ClipDistance); #endif - EmitVertex(); - gl_Position.xy += t * edge_dir; + EmitVertex(); + gl_Position.xy += t * edge_dir; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[2].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[2].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); } void emit_corner(const int e, vec2 thick, bool is_persp) { - vec2 corner_dir = ssNor[e]; - vec2 t = thick * (is_persp ? abs(vPos[e].z) : 1.0); + vec2 corner_dir = ssNor[e]; + vec2 t = thick * (is_persp ? abs(vPos[e].z) : 1.0); - gl_Position = pPos[e] + vec4(t * corner_dir, 0.0, 0.0); + gl_Position = pPos[e] + vec4(t * corner_dir, 0.0, 0.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[e].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[e].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); } void main(void) { - finalColor = vec4(vColSize[0].rgb, 1.0); - - bool is_persp = (ProjectionMatrix[3][3] == 0.0); - - vec3 view_vec = (is_persp) ? normalize(vPos[1]) : vec3(0.0, 0.0, -1.0); - vec3 v10 = vPos[0] - vPos[1]; - vec3 v12 = vPos[2] - vPos[1]; - vec3 v13 = vPos[3] - vPos[1]; - - vec3 n0 = cross(v12, v10); - vec3 n3 = cross(v13, v12); - - float fac0 = dot(view_vec, n0); - float fac3 = dot(view_vec, n3); - - /* If one of the face is perpendicular to the view, - * consider it and outline edge. */ - if (abs(fac0) > 1e-5 && abs(fac3) > 1e-5) { - /* If both adjacent verts are facing the camera the same way, - * then it isn't an outline edge. */ - if (sign(fac0) == sign(fac3)) { - return; - } - } - - /* Don't outline if concave edge. */ - if (dot(n0, v13) > 0.0001) { - return; - } - - vec2 thick = vColSize[0].w * (lineThickness / viewportSize); - vec2 edge_dir = compute_dir(ssPos[1], ssPos[2]); - - vec2 hidden_point; - /* Take the farthest point to compute edge direction - * (avoid problems with point behind near plane). - * If the chosen point is parallel to the edge in screen space, - * choose the other point anyway. - * This fixes some issue with cubes in orthographic views.*/ - if (vPos[0].z < vPos[3].z) { - hidden_point = (abs(fac0) > 1e-5) ? ssPos[0] : ssPos[3]; - } - else { - hidden_point = (abs(fac3) > 1e-5) ? ssPos[3] : ssPos[0]; - } - vec2 hidden_dir = normalize(hidden_point - ssPos[1]); - - emit_corner(1, thick, is_persp); - emit_edge(edge_dir, hidden_dir, thick, is_persp); - emit_corner(2, thick, is_persp); - EndPrimitive(); + finalColor = vec4(vColSize[0].rgb, 1.0); + + bool is_persp = (ProjectionMatrix[3][3] == 0.0); + + vec3 view_vec = (is_persp) ? normalize(vPos[1]) : vec3(0.0, 0.0, -1.0); + vec3 v10 = vPos[0] - vPos[1]; + vec3 v12 = vPos[2] - vPos[1]; + vec3 v13 = vPos[3] - vPos[1]; + + vec3 n0 = cross(v12, v10); + vec3 n3 = cross(v13, v12); + + float fac0 = dot(view_vec, n0); + float fac3 = dot(view_vec, n3); + + /* If one of the face is perpendicular to the view, + * consider it and outline edge. */ + if (abs(fac0) > 1e-5 && abs(fac3) > 1e-5) { + /* If both adjacent verts are facing the camera the same way, + * then it isn't an outline edge. */ + if (sign(fac0) == sign(fac3)) { + return; + } + } + + /* Don't outline if concave edge. */ + if (dot(n0, v13) > 0.0001) { + return; + } + + vec2 thick = vColSize[0].w * (lineThickness / viewportSize); + vec2 edge_dir = compute_dir(ssPos[1], ssPos[2]); + + vec2 hidden_point; + /* Take the farthest point to compute edge direction + * (avoid problems with point behind near plane). + * If the chosen point is parallel to the edge in screen space, + * choose the other point anyway. + * This fixes some issue with cubes in orthographic views.*/ + if (vPos[0].z < vPos[3].z) { + hidden_point = (abs(fac0) > 1e-5) ? ssPos[0] : ssPos[3]; + } + else { + hidden_point = (abs(fac3) > 1e-5) ? ssPos[3] : ssPos[0]; + } + vec2 hidden_dir = normalize(hidden_point - ssPos[1]); + + emit_corner(1, thick, is_persp); + emit_edge(edge_dir, hidden_dir, thick, is_persp); + emit_corner(2, thick, is_persp); + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/armature_shape_outline_vert.glsl b/source/blender/draw/modes/shaders/armature_shape_outline_vert.glsl index b190d834a61..82a483d91a5 100644 --- a/source/blender/draw/modes/shaders/armature_shape_outline_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_shape_outline_vert.glsl @@ -22,31 +22,31 @@ out vec4 vColSize; /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } void main() { - /* This is slow and run per vertex, but it's still faster than - * doing it per instance on CPU and sending it on via instance attribute. */ - mat3 NormalMatrix = transpose(inverse(mat3(ViewMatrix * InstanceModelMatrix))); + /* This is slow and run per vertex, but it's still faster than + * doing it per instance on CPU and sending it on via instance attribute. */ + mat3 NormalMatrix = transpose(inverse(mat3(ViewMatrix * InstanceModelMatrix))); - vec4 worldPosition = InstanceModelMatrix * vec4(pos, 1.0); - vec4 viewpos = ViewMatrix * worldPosition; + vec4 worldPosition = InstanceModelMatrix * vec4(pos, 1.0); + vec4 viewpos = ViewMatrix * worldPosition; - vPos = viewpos.xyz; - pPos = ProjectionMatrix * viewpos; + vPos = viewpos.xyz; + pPos = ProjectionMatrix * viewpos; - /* TODO FIX: there is still a problem with this vector - * when the bone is scaled or in persp mode. But it's - * barelly visible at the outline corners. */ - ssNor = normalize((NormalMatrix * snor).xy); + /* TODO FIX: there is still a problem with this vector + * when the bone is scaled or in persp mode. But it's + * barelly visible at the outline corners. */ + ssNor = normalize((NormalMatrix * snor).xy); - ssPos = proj(pPos); + ssPos = proj(pPos); - vColSize = outlineColorSize; + vColSize = outlineColorSize; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance(worldPosition.xyz); + world_clip_planes_calc_clip_distance(worldPosition.xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_shape_solid_frag.glsl b/source/blender/draw/modes/shaders/armature_shape_solid_frag.glsl index 45748bf5644..39963344dd8 100644 --- a/source/blender/draw/modes/shaders/armature_shape_solid_frag.glsl +++ b/source/blender/draw/modes/shaders/armature_shape_solid_frag.glsl @@ -7,5 +7,5 @@ out vec4 fragColor; void main() { - fragColor = vec4(finalColor.rgb, alpha); + fragColor = vec4(finalColor.rgb, alpha); } diff --git a/source/blender/draw/modes/shaders/armature_shape_solid_vert.glsl b/source/blender/draw/modes/shaders/armature_shape_solid_vert.glsl index 8463ffab447..2df25bf0e03 100644 --- a/source/blender/draw/modes/shaders/armature_shape_solid_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_shape_solid_vert.glsl @@ -19,24 +19,23 @@ out vec4 finalColor; void main() { - mat3 NormalMatrix = transpose(inverse(mat3(ViewMatrix * InstanceModelMatrix))); - vec3 normal = normalize(NormalMatrix * nor); + mat3 NormalMatrix = transpose(inverse(mat3(ViewMatrix * InstanceModelMatrix))); + vec3 normal = normalize(NormalMatrix * nor); - /* Do lighting at an angle to avoid flat shading on front facing bone. */ - const vec3 light = vec3(0.1, 0.1, 0.8); - float n = dot(normal, light); + /* Do lighting at an angle to avoid flat shading on front facing bone. */ + const vec3 light = vec3(0.1, 0.1, 0.8); + float n = dot(normal, light); - /* Smooth lighting factor. */ - const float s = 0.2; /* [0.0-0.5] range */ - float fac = clamp((n * (1.0 - s)) + s, 0.0, 1.0); - finalColor.rgb = mix(stateColor, boneColor, fac); - finalColor.a = 1.0; + /* Smooth lighting factor. */ + const float s = 0.2; /* [0.0-0.5] range */ + float fac = clamp((n * (1.0 - s)) + s, 0.0, 1.0); + finalColor.rgb = mix(stateColor, boneColor, fac); + finalColor.a = 1.0; - - vec4 worldPosition = InstanceModelMatrix * vec4(pos, 1.0); - gl_Position = ViewProjectionMatrix * worldPosition; + vec4 worldPosition = InstanceModelMatrix * vec4(pos, 1.0); + gl_Position = ViewProjectionMatrix * worldPosition; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance(worldPosition.xyz); + world_clip_planes_calc_clip_distance(worldPosition.xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_sphere_outline_vert.glsl b/source/blender/draw/modes/shaders/armature_sphere_outline_vert.glsl index a48148a9a50..70a7f495af9 100644 --- a/source/blender/draw/modes/shaders/armature_sphere_outline_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_sphere_outline_vert.glsl @@ -17,91 +17,91 @@ flat out vec4 finalColor; /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } vec2 compute_dir(vec2 v0, vec2 v1, vec2 c) { - vec2 dir = normalize(v1 - v0); - dir = vec2(dir.y, -dir.x); - /* The model matrix can be scaled negativly. - * Use projected sphere center to determine - * the outline direction. */ - vec2 cv = c - v0; - dir = (dot(dir, cv) > 0.0) ? -dir : dir; - return dir; + vec2 dir = normalize(v1 - v0); + dir = vec2(dir.y, -dir.x); + /* The model matrix can be scaled negativly. + * Use projected sphere center to determine + * the outline direction. */ + vec2 cv = c - v0; + dir = (dot(dir, cv) > 0.0) ? -dir : dir; + return dir; } void main() { - mat4 model_view_matrix = ViewMatrix * InstanceModelMatrix; - mat4 sphereMatrix = inverse(model_view_matrix); - - bool is_persp = (ProjectionMatrix[3][3] == 0.0); - - /* This is the local space camera ray (not normalize). - * In perspective mode it's also the viewspace position - * of the sphere center. */ - vec3 cam_ray = (is_persp) ? model_view_matrix[3].xyz : vec3(0.0, 0.0, -1.0); - cam_ray = mat3(sphereMatrix) * cam_ray; - - /* Sphere center distance from the camera (persp) in local space. */ - float cam_dist = length(cam_ray); - - /* Compute view aligned orthonormal space. */ - vec3 z_axis = cam_ray / cam_dist; - vec3 x_axis = normalize(cross(sphereMatrix[1].xyz, z_axis)); - vec3 y_axis = cross(z_axis, x_axis); - float z_ofs = 0.0; - - if (is_persp) { - /* For perspective, the projected sphere radius - * can be bigger than the center disc. Compute the - * max angular size and compensate by sliding the disc - * towards the camera and scale it accordingly. */ - const float half_pi = 3.1415926 * 0.5; - const float rad = 0.05; - /* Let be (in local space): - * V the view vector origin. - * O the sphere origin. - * T the point on the target circle. - * We compute the angle between (OV) and (OT). */ - float a = half_pi - asin(rad / cam_dist); - float cos_b = cos(a); - float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); - - x_axis *= sin_b; - y_axis *= sin_b; - z_ofs = -rad * cos_b; - } - - /* Camera oriented position (but still in local space) */ - vec3 cam_pos0 = x_axis * pos0.x + y_axis * pos0.y + z_axis * z_ofs; - vec3 cam_pos1 = x_axis * pos1.x + y_axis * pos1.y + z_axis * z_ofs; - - vec4 V = model_view_matrix * vec4(cam_pos0, 1.0); - vec4 p0 = ProjectionMatrix * V; - vec4 p1 = ProjectionMatrix * (model_view_matrix * vec4(cam_pos1, 1.0)); - vec4 c = ProjectionMatrix * vec4(model_view_matrix[3].xyz, 1.0); - - vec2 ssc = proj(c); - vec2 ss0 = proj(p0); - vec2 ss1 = proj(p1); - vec2 edge_dir = compute_dir(ss0, ss1, ssc); - - bool outer = ((gl_VertexID & 1) == 1); - - vec2 t = outlineColorSize.w * (lineThickness / viewportSize); - t *= (is_persp) ? abs(V.z) : 1.0; - t = (outer) ? t : vec2(0.0); - - gl_Position = p0; - gl_Position.xy += t * edge_dir; - - finalColor = vec4(outlineColorSize.rgb, 1.0); + mat4 model_view_matrix = ViewMatrix * InstanceModelMatrix; + mat4 sphereMatrix = inverse(model_view_matrix); + + bool is_persp = (ProjectionMatrix[3][3] == 0.0); + + /* This is the local space camera ray (not normalize). + * In perspective mode it's also the viewspace position + * of the sphere center. */ + vec3 cam_ray = (is_persp) ? model_view_matrix[3].xyz : vec3(0.0, 0.0, -1.0); + cam_ray = mat3(sphereMatrix) * cam_ray; + + /* Sphere center distance from the camera (persp) in local space. */ + float cam_dist = length(cam_ray); + + /* Compute view aligned orthonormal space. */ + vec3 z_axis = cam_ray / cam_dist; + vec3 x_axis = normalize(cross(sphereMatrix[1].xyz, z_axis)); + vec3 y_axis = cross(z_axis, x_axis); + float z_ofs = 0.0; + + if (is_persp) { + /* For perspective, the projected sphere radius + * can be bigger than the center disc. Compute the + * max angular size and compensate by sliding the disc + * towards the camera and scale it accordingly. */ + const float half_pi = 3.1415926 * 0.5; + const float rad = 0.05; + /* Let be (in local space): + * V the view vector origin. + * O the sphere origin. + * T the point on the target circle. + * We compute the angle between (OV) and (OT). */ + float a = half_pi - asin(rad / cam_dist); + float cos_b = cos(a); + float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); + + x_axis *= sin_b; + y_axis *= sin_b; + z_ofs = -rad * cos_b; + } + + /* Camera oriented position (but still in local space) */ + vec3 cam_pos0 = x_axis * pos0.x + y_axis * pos0.y + z_axis * z_ofs; + vec3 cam_pos1 = x_axis * pos1.x + y_axis * pos1.y + z_axis * z_ofs; + + vec4 V = model_view_matrix * vec4(cam_pos0, 1.0); + vec4 p0 = ProjectionMatrix * V; + vec4 p1 = ProjectionMatrix * (model_view_matrix * vec4(cam_pos1, 1.0)); + vec4 c = ProjectionMatrix * vec4(model_view_matrix[3].xyz, 1.0); + + vec2 ssc = proj(c); + vec2 ss0 = proj(p0); + vec2 ss1 = proj(p1); + vec2 edge_dir = compute_dir(ss0, ss1, ssc); + + bool outer = ((gl_VertexID & 1) == 1); + + vec2 t = outlineColorSize.w * (lineThickness / viewportSize); + t *= (is_persp) ? abs(V.z) : 1.0; + t = (outer) ? t : vec2(0.0); + + gl_Position = p0; + gl_Position.xy += t * edge_dir; + + finalColor = vec4(outlineColorSize.rgb, 1.0); #ifdef USE_WORLD_CLIP_PLANES - vec4 worldPosition = InstanceModelMatrix * vec4(cam_pos0, 1.0); - world_clip_planes_calc_clip_distance(worldPosition.xyz); + vec4 worldPosition = InstanceModelMatrix * vec4(cam_pos0, 1.0); + world_clip_planes_calc_clip_distance(worldPosition.xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_sphere_solid_frag.glsl b/source/blender/draw/modes/shaders/armature_sphere_solid_frag.glsl index a0fdd55931f..93edbe940fd 100644 --- a/source/blender/draw/modes/shaders/armature_sphere_solid_frag.glsl +++ b/source/blender/draw/modes/shaders/armature_sphere_solid_frag.glsl @@ -21,61 +21,60 @@ out vec4 fragColor; float get_depth_from_view_z(float z) { - if (ProjectionMatrix[3][3] == 0.0) { - z = (-ProjectionMatrix[3][2] / z) - ProjectionMatrix[2][2]; - } - else { - z = z * ProjectionMatrix[2][2] / (1.0 - ProjectionMatrix[3][2]); - } - return z * 0.5 + 0.5; + if (ProjectionMatrix[3][3] == 0.0) { + z = (-ProjectionMatrix[3][2] / z) - ProjectionMatrix[2][2]; + } + else { + z = z * ProjectionMatrix[2][2] / (1.0 - ProjectionMatrix[3][2]); + } + return z * 0.5 + 0.5; } void main() { - const float sphere_radius = 0.05; - - bool is_perp = (ProjectionMatrix[3][3] == 0.0); - vec3 ray_ori_view = (is_perp) ? vec3(0.0) : viewPosition.xyz; - vec3 ray_dir_view = (is_perp) ? viewPosition : vec3(0.0, 0.0, -1.0); - - /* Single matrix mul without branch. */ - vec4 mul_vec = (is_perp) ? vec4(ray_dir_view, 0.0) : vec4(ray_ori_view, 1.0); - vec3 mul_res = (sphereMatrix * mul_vec).xyz; - - /* Reminder : - * sphereMatrix[3] is the view space origin in sphere space (sph_ori -> view_ori). - * sphereMatrix[2] is the view space Z axis in sphere space. */ - - /* convert to sphere local space */ - vec3 ray_ori = (is_perp) ? sphereMatrix[3].xyz : mul_res; - vec3 ray_dir = (is_perp) ? mul_res : -sphereMatrix[2].xyz; - float ray_len = length(ray_dir); - ray_dir /= ray_len; - - /* Line to sphere intersect */ - const float sphere_radius_sqr = sphere_radius * sphere_radius; - float b = dot(ray_ori, ray_dir); - float c = dot(ray_ori, ray_ori) - sphere_radius_sqr; - float h = b * b - c; - float t = -sqrt(max(0.0, h)) - b; - - /* Compute dot product for lighting */ - vec3 p = ray_dir * t + ray_ori; /* Point on sphere */ - vec3 n = normalize(p); /* Normal is just the point in sphere space, normalized. */ - vec3 l = normalize(sphereMatrix[2].xyz); /* Just the view Z axis in the sphere space. */ - - - /* Smooth lighting factor. */ - const float s = 0.2; /* [0.0-0.5] range */ - float fac = clamp((dot(n, l) * (1.0 - s)) + s, 0.0, 1.0); - fragColor.rgb = mix(finalStateColor, finalBoneColor, fac); - - /* 2x2 dither pattern to smooth the lighting. */ - float dither = (0.5 + dot(vec2(ivec2(gl_FragCoord.xy) & ivec2(1)), vec2(1.0, 2.0))) * 0.25; - dither *= (1.0 / 255.0); /* Assume 8bit per color buffer. */ - - fragColor = vec4(fragColor.rgb + dither, alpha); - - t /= ray_len; - gl_FragDepth = get_depth_from_view_z(ray_dir_view.z * t + ray_ori_view.z); + const float sphere_radius = 0.05; + + bool is_perp = (ProjectionMatrix[3][3] == 0.0); + vec3 ray_ori_view = (is_perp) ? vec3(0.0) : viewPosition.xyz; + vec3 ray_dir_view = (is_perp) ? viewPosition : vec3(0.0, 0.0, -1.0); + + /* Single matrix mul without branch. */ + vec4 mul_vec = (is_perp) ? vec4(ray_dir_view, 0.0) : vec4(ray_ori_view, 1.0); + vec3 mul_res = (sphereMatrix * mul_vec).xyz; + + /* Reminder : + * sphereMatrix[3] is the view space origin in sphere space (sph_ori -> view_ori). + * sphereMatrix[2] is the view space Z axis in sphere space. */ + + /* convert to sphere local space */ + vec3 ray_ori = (is_perp) ? sphereMatrix[3].xyz : mul_res; + vec3 ray_dir = (is_perp) ? mul_res : -sphereMatrix[2].xyz; + float ray_len = length(ray_dir); + ray_dir /= ray_len; + + /* Line to sphere intersect */ + const float sphere_radius_sqr = sphere_radius * sphere_radius; + float b = dot(ray_ori, ray_dir); + float c = dot(ray_ori, ray_ori) - sphere_radius_sqr; + float h = b * b - c; + float t = -sqrt(max(0.0, h)) - b; + + /* Compute dot product for lighting */ + vec3 p = ray_dir * t + ray_ori; /* Point on sphere */ + vec3 n = normalize(p); /* Normal is just the point in sphere space, normalized. */ + vec3 l = normalize(sphereMatrix[2].xyz); /* Just the view Z axis in the sphere space. */ + + /* Smooth lighting factor. */ + const float s = 0.2; /* [0.0-0.5] range */ + float fac = clamp((dot(n, l) * (1.0 - s)) + s, 0.0, 1.0); + fragColor.rgb = mix(finalStateColor, finalBoneColor, fac); + + /* 2x2 dither pattern to smooth the lighting. */ + float dither = (0.5 + dot(vec2(ivec2(gl_FragCoord.xy) & ivec2(1)), vec2(1.0, 2.0))) * 0.25; + dither *= (1.0 / 255.0); /* Assume 8bit per color buffer. */ + + fragColor = vec4(fragColor.rgb + dither, alpha); + + t /= ray_len; + gl_FragDepth = get_depth_from_view_z(ray_dir_view.z * t + ray_ori_view.z); } diff --git a/source/blender/draw/modes/shaders/armature_sphere_solid_vert.glsl b/source/blender/draw/modes/shaders/armature_sphere_solid_vert.glsl index 0a2a2959120..38a721616a0 100644 --- a/source/blender/draw/modes/shaders/armature_sphere_solid_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_sphere_solid_vert.glsl @@ -20,69 +20,69 @@ const float rad = 0.05; void main() { - mat4 model_view_matrix = ViewMatrix * InstanceModelMatrix; - sphereMatrix = inverse(model_view_matrix); + mat4 model_view_matrix = ViewMatrix * InstanceModelMatrix; + sphereMatrix = inverse(model_view_matrix); - bool is_persp = (ProjectionMatrix[3][3] == 0.0); + bool is_persp = (ProjectionMatrix[3][3] == 0.0); - /* This is the local space camera ray (not normalize). - * In perspective mode it's also the viewspace position - * of the sphere center. */ - vec3 cam_ray = (is_persp) ? model_view_matrix[3].xyz : vec3(0.0, 0.0, -1.0); - cam_ray = mat3(sphereMatrix) * cam_ray; + /* This is the local space camera ray (not normalize). + * In perspective mode it's also the viewspace position + * of the sphere center. */ + vec3 cam_ray = (is_persp) ? model_view_matrix[3].xyz : vec3(0.0, 0.0, -1.0); + cam_ray = mat3(sphereMatrix) * cam_ray; - /* Sphere center distance from the camera (persp) in local space. */ - float cam_dist = length(cam_ray); + /* Sphere center distance from the camera (persp) in local space. */ + float cam_dist = length(cam_ray); - /* Compute view aligned orthonormal space. */ - vec3 z_axis = cam_ray / cam_dist; - vec3 x_axis = normalize(cross(sphereMatrix[1].xyz, z_axis)); - vec3 y_axis = cross(z_axis, x_axis); + /* Compute view aligned orthonormal space. */ + vec3 z_axis = cam_ray / cam_dist; + vec3 x_axis = normalize(cross(sphereMatrix[1].xyz, z_axis)); + vec3 y_axis = cross(z_axis, x_axis); - float z_ofs = -rad - 1e-8; /* offset to the front of the sphere */ - if (is_persp) { - /* For perspective, the projected sphere radius - * can be bigger than the center disc. Compute the - * max angular size and compensate by sliding the disc - * towards the camera and scale it accordingly. */ - const float half_pi = 3.1415926 * 0.5; - /* Let be (in local space): - * V the view vector origin. - * O the sphere origin. - * T the point on the target circle. - * We compute the angle between (OV) and (OT). */ - float a = half_pi - asin(rad / cam_dist); - float cos_b = cos(a); - float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); + float z_ofs = -rad - 1e-8; /* offset to the front of the sphere */ + if (is_persp) { + /* For perspective, the projected sphere radius + * can be bigger than the center disc. Compute the + * max angular size and compensate by sliding the disc + * towards the camera and scale it accordingly. */ + const float half_pi = 3.1415926 * 0.5; + /* Let be (in local space): + * V the view vector origin. + * O the sphere origin. + * T the point on the target circle. + * We compute the angle between (OV) and (OT). */ + float a = half_pi - asin(rad / cam_dist); + float cos_b = cos(a); + float sin_b = sqrt(clamp(1.0 - cos_b * cos_b, 0.0, 1.0)); #if 1 - /* Instead of choosing the biggest circle in screenspace, - * we choose the nearest with the same angular size. This - * permit us to leverage GL_ARB_conservative_depth in the - * fragment shader. */ - float minor = cam_dist - rad; - float major = cam_dist - cos_b * rad; - float fac = minor / major; - sin_b *= fac; + /* Instead of choosing the biggest circle in screenspace, + * we choose the nearest with the same angular size. This + * permit us to leverage GL_ARB_conservative_depth in the + * fragment shader. */ + float minor = cam_dist - rad; + float major = cam_dist - cos_b * rad; + float fac = minor / major; + sin_b *= fac; #else - z_ofs = -rad * cos_b; + z_ofs = -rad * cos_b; #endif - x_axis *= sin_b; - y_axis *= sin_b; - } + x_axis *= sin_b; + y_axis *= sin_b; + } - /* Camera oriented position (but still in local space) */ - vec3 cam_pos = x_axis * pos.x + y_axis * pos.y + z_axis * z_ofs; + /* Camera oriented position (but still in local space) */ + vec3 cam_pos = x_axis * pos.x + y_axis * pos.y + z_axis * z_ofs; - vec4 pos_4d = vec4(cam_pos, 1.0); - vec4 V = model_view_matrix * pos_4d; - gl_Position = ProjectionMatrix * V; - viewPosition = V.xyz; + vec4 pos_4d = vec4(cam_pos, 1.0); + vec4 V = model_view_matrix * pos_4d; + gl_Position = ProjectionMatrix * V; + viewPosition = V.xyz; - finalStateColor = stateColor; - finalBoneColor = boneColor; + finalStateColor = stateColor; + finalBoneColor = boneColor; #ifdef USE_WORLD_CLIP_PLANES - vec4 worldPosition = InstanceModelMatrix * pos_4d; - world_clip_planes_calc_clip_distance(worldPosition.xyz); + vec4 worldPosition = InstanceModelMatrix * pos_4d; + world_clip_planes_calc_clip_distance(worldPosition.xyz); #endif } diff --git a/source/blender/draw/modes/shaders/armature_stick_frag.glsl b/source/blender/draw/modes/shaders/armature_stick_frag.glsl index d03cf4c0366..ba89619e051 100644 --- a/source/blender/draw/modes/shaders/armature_stick_frag.glsl +++ b/source/blender/draw/modes/shaders/armature_stick_frag.glsl @@ -7,7 +7,7 @@ out vec4 fragColor; void main() { - float fac = smoothstep(1.0, 0.2, colorFac); - fragColor.rgb = mix(finalInnerColor.rgb, finalWireColor.rgb, fac); - fragColor.a = 1.0; + float fac = smoothstep(1.0, 0.2, colorFac); + fragColor.rgb = mix(finalInnerColor.rgb, finalWireColor.rgb, fac); + fragColor.a = 1.0; } diff --git a/source/blender/draw/modes/shaders/armature_stick_vert.glsl b/source/blender/draw/modes/shaders/armature_stick_vert.glsl index 3f1aef47dce..9e5a3d76c0d 100644 --- a/source/blender/draw/modes/shaders/armature_stick_vert.glsl +++ b/source/blender/draw/modes/shaders/armature_stick_vert.glsl @@ -14,9 +14,9 @@ in uint flag; #define COL_TAIL 4u /* (1 << 2) */ #define COL_BONE 8u /* (1 << 3) */ -#define POS_HEAD 16u /* (1 << 4) */ +#define POS_HEAD 16u /* (1 << 4) */ #define POS_TAIL 32u /* (1 << 5) */ /* UNUSED */ -#define POS_BONE 64u /* (1 << 6) */ +#define POS_BONE 64u /* (1 << 6) */ /* ---- Per instance Attrs ---- */ in vec3 boneStart; @@ -39,57 +39,60 @@ uniform float stickSize = 5.0; /* might be dependent on DPI setting in the futur /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } void main() { - finalInnerColor = ((flag & COL_HEAD) != 0u) ? headColor : tailColor; - finalInnerColor = ((flag & COL_BONE) != 0u) ? boneColor : finalInnerColor; - finalWireColor = (do_wire) ? wireColor : finalInnerColor; - /* Make the color */ - colorFac = ((flag & COL_WIRE) == 0u) ? ((flag & COL_BONE) != 0u) ? 1.0 : 2.0 : 0.0; - - vec4 boneStart_4d = vec4(boneStart, 1.0); - vec4 boneEnd_4d = vec4(boneEnd, 1.0); - vec4 v0 = ViewMatrix * boneStart_4d; - vec4 v1 = ViewMatrix * boneEnd_4d; - - /* Clip the bone to the camera origin plane (not the clip plane) - * to avoid glitches if one end is behind the camera origin (in persp). */ - float clip_dist = (ProjectionMatrix[3][3] == 0.0) ? -1e-7 : 1e20; /* hardcoded, -1e-8 is giving gliches. */ - vec3 bvec = v1.xyz - v0.xyz; - vec3 clip_pt = v0.xyz + bvec * ((v0.z - clip_dist) / -bvec.z); - if (v0.z > clip_dist) { - v0.xyz = clip_pt; - } - else if (v1.z > clip_dist) { - v1.xyz = clip_pt; - } - - vec4 p0 = ProjectionMatrix * v0; - vec4 p1 = ProjectionMatrix * v1; - - float h = (is_head) ? p0.w : p1.w; - - vec2 x_screen_vec = normalize(proj(p1) - proj(p0) + 1e-8); - vec2 y_screen_vec = vec2(x_screen_vec.y, -x_screen_vec.x); - - /* 2D screen aligned pos at the point */ - vec2 vpos = pos.x * x_screen_vec + pos.y * y_screen_vec; - vpos *= (ProjectionMatrix[3][3] == 0.0) ? h : 1.0; - vpos *= (do_wire) ? 1.0 : 0.5; - - if (finalInnerColor.a > 0.0) { - gl_Position = (is_head) ? p0 : p1; - gl_Position.xy += stickSize * (vpos / viewportSize); - gl_Position.z += (is_bone) ? 0.0 : 1e-6; /* Avoid Z fighting of head/tails. */ + finalInnerColor = ((flag & COL_HEAD) != 0u) ? headColor : tailColor; + finalInnerColor = ((flag & COL_BONE) != 0u) ? boneColor : finalInnerColor; + finalWireColor = (do_wire) ? wireColor : finalInnerColor; + /* Make the color */ + colorFac = ((flag & COL_WIRE) == 0u) ? ((flag & COL_BONE) != 0u) ? 1.0 : 2.0 : 0.0; + + vec4 boneStart_4d = vec4(boneStart, 1.0); + vec4 boneEnd_4d = vec4(boneEnd, 1.0); + vec4 v0 = ViewMatrix * boneStart_4d; + vec4 v1 = ViewMatrix * boneEnd_4d; + + /* Clip the bone to the camera origin plane (not the clip plane) + * to avoid glitches if one end is behind the camera origin (in persp). */ + float clip_dist = (ProjectionMatrix[3][3] == 0.0) ? + -1e-7 : + 1e20; /* hardcoded, -1e-8 is giving gliches. */ + vec3 bvec = v1.xyz - v0.xyz; + vec3 clip_pt = v0.xyz + bvec * ((v0.z - clip_dist) / -bvec.z); + if (v0.z > clip_dist) { + v0.xyz = clip_pt; + } + else if (v1.z > clip_dist) { + v1.xyz = clip_pt; + } + + vec4 p0 = ProjectionMatrix * v0; + vec4 p1 = ProjectionMatrix * v1; + + float h = (is_head) ? p0.w : p1.w; + + vec2 x_screen_vec = normalize(proj(p1) - proj(p0) + 1e-8); + vec2 y_screen_vec = vec2(x_screen_vec.y, -x_screen_vec.x); + + /* 2D screen aligned pos at the point */ + vec2 vpos = pos.x * x_screen_vec + pos.y * y_screen_vec; + vpos *= (ProjectionMatrix[3][3] == 0.0) ? h : 1.0; + vpos *= (do_wire) ? 1.0 : 0.5; + + if (finalInnerColor.a > 0.0) { + gl_Position = (is_head) ? p0 : p1; + gl_Position.xy += stickSize * (vpos / viewportSize); + gl_Position.z += (is_bone) ? 0.0 : 1e-6; /* Avoid Z fighting of head/tails. */ #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * (is_head ? boneStart_4d : boneEnd_4d)).xyz); + world_clip_planes_calc_clip_distance( + (ModelMatrix * (is_head ? boneStart_4d : boneEnd_4d)).xyz); #endif - } - else { - gl_Position = vec4(0.0); - } + } + else { + gl_Position = vec4(0.0); + } } diff --git a/source/blender/draw/modes/shaders/common_fullscreen_vert.glsl b/source/blender/draw/modes/shaders/common_fullscreen_vert.glsl index e5c5ccc97bf..a1e6bb0f43d 100644 --- a/source/blender/draw/modes/shaders/common_fullscreen_vert.glsl +++ b/source/blender/draw/modes/shaders/common_fullscreen_vert.glsl @@ -5,6 +5,6 @@ out vec4 uvcoordsvar; void main() { - uvcoordsvar = vec4(uvs, 0.0, 0.0); - gl_Position = vec4(pos, 1.0, 1.0); + uvcoordsvar = vec4(uvs, 0.0, 0.0); + gl_Position = vec4(pos, 1.0, 1.0); } diff --git a/source/blender/draw/modes/shaders/common_fxaa_lib.glsl b/source/blender/draw/modes/shaders/common_fxaa_lib.glsl index 236ac5c67f0..dcb7c0ba7f2 100644 --- a/source/blender/draw/modes/shaders/common_fxaa_lib.glsl +++ b/source/blender/draw/modes/shaders/common_fxaa_lib.glsl @@ -54,27 +54,27 @@ NOTE the other tuning knobs are now in the shader function inputs! ============================================================================*/ #ifndef FXAA_QUALITY__PRESET - // - // Choose the quality preset. - // This needs to be compiled into the shader as it effects code. - // Best option to include multiple presets is to - // in each shader define the preset, then include this file. - // - // OPTIONS - // ----------------------------------------------------------------------- - // 10 to 15 - default medium dither (10=fastest, 15=highest quality) - // 20 to 29 - less dither, more expensive (20=fastest, 29=highest quality) - // 39 - no dither, very expensive - // - // NOTES - // ----------------------------------------------------------------------- - // 12 = slightly faster then FXAA 3.9 and higher edge quality (default) - // 13 = about same speed as FXAA 3.9 and better than 12 - // 23 = closest to FXAA 3.9 visually and performance wise - // _ = the lowest digit is directly related to performance - // _ = the highest digit is directly related to style - // - #define FXAA_QUALITY__PRESET 12 +// +// Choose the quality preset. +// This needs to be compiled into the shader as it effects code. +// Best option to include multiple presets is to +// in each shader define the preset, then include this file. +// +// OPTIONS +// ----------------------------------------------------------------------- +// 10 to 15 - default medium dither (10=fastest, 15=highest quality) +// 20 to 29 - less dither, more expensive (20=fastest, 29=highest quality) +// 39 - no dither, very expensive +// +// NOTES +// ----------------------------------------------------------------------- +// 12 = slightly faster then FXAA 3.9 and higher edge quality (default) +// 13 = about same speed as FXAA 3.9 and better than 12 +// 23 = closest to FXAA 3.9 visually and performance wise +// _ = the lowest digit is directly related to performance +// _ = the highest digit is directly related to style +// +# define FXAA_QUALITY__PRESET 12 #endif /*============================================================================ @@ -87,218 +87,219 @@ NOTE the other tuning knobs are now in the shader function inputs! FXAA QUALITY - MEDIUM DITHER PRESETS ============================================================================*/ #if (FXAA_QUALITY__PRESET == 10) - #define FXAA_QUALITY__PS 3 - #define FXAA_QUALITY__P0 1.5 - #define FXAA_QUALITY__P1 3.0 - #define FXAA_QUALITY__P2 12.0 +# define FXAA_QUALITY__PS 3 +# define FXAA_QUALITY__P0 1.5 +# define FXAA_QUALITY__P1 3.0 +# define FXAA_QUALITY__P2 12.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 11) - #define FXAA_QUALITY__PS 4 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 3.0 - #define FXAA_QUALITY__P3 12.0 +# define FXAA_QUALITY__PS 4 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 3.0 +# define FXAA_QUALITY__P3 12.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 12) - #define FXAA_QUALITY__PS 5 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 4.0 - #define FXAA_QUALITY__P4 12.0 +# define FXAA_QUALITY__PS 5 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 4.0 +# define FXAA_QUALITY__P4 12.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 13) - #define FXAA_QUALITY__PS 6 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 4.0 - #define FXAA_QUALITY__P5 12.0 +# define FXAA_QUALITY__PS 6 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 4.0 +# define FXAA_QUALITY__P5 12.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 14) - #define FXAA_QUALITY__PS 7 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 4.0 - #define FXAA_QUALITY__P6 12.0 +# define FXAA_QUALITY__PS 7 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 4.0 +# define FXAA_QUALITY__P6 12.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 15) - #define FXAA_QUALITY__PS 8 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 4.0 - #define FXAA_QUALITY__P7 12.0 +# define FXAA_QUALITY__PS 8 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 4.0 +# define FXAA_QUALITY__P7 12.0 #endif /*============================================================================ FXAA QUALITY - LOW DITHER PRESETS ============================================================================*/ #if (FXAA_QUALITY__PRESET == 20) - #define FXAA_QUALITY__PS 3 - #define FXAA_QUALITY__P0 1.5 - #define FXAA_QUALITY__P1 2.0 - #define FXAA_QUALITY__P2 8.0 +# define FXAA_QUALITY__PS 3 +# define FXAA_QUALITY__P0 1.5 +# define FXAA_QUALITY__P1 2.0 +# define FXAA_QUALITY__P2 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 21) - #define FXAA_QUALITY__PS 4 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 8.0 +# define FXAA_QUALITY__PS 4 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 22) - #define FXAA_QUALITY__PS 5 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 8.0 +# define FXAA_QUALITY__PS 5 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 23) - #define FXAA_QUALITY__PS 6 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 8.0 +# define FXAA_QUALITY__PS 6 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 24) - #define FXAA_QUALITY__PS 7 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 3.0 - #define FXAA_QUALITY__P6 8.0 +# define FXAA_QUALITY__PS 7 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 3.0 +# define FXAA_QUALITY__P6 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 25) - #define FXAA_QUALITY__PS 8 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 4.0 - #define FXAA_QUALITY__P7 8.0 +# define FXAA_QUALITY__PS 8 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 4.0 +# define FXAA_QUALITY__P7 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 26) - #define FXAA_QUALITY__PS 9 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 2.0 - #define FXAA_QUALITY__P7 4.0 - #define FXAA_QUALITY__P8 8.0 +# define FXAA_QUALITY__PS 9 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 2.0 +# define FXAA_QUALITY__P7 4.0 +# define FXAA_QUALITY__P8 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 27) - #define FXAA_QUALITY__PS 10 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 2.0 - #define FXAA_QUALITY__P7 2.0 - #define FXAA_QUALITY__P8 4.0 - #define FXAA_QUALITY__P9 8.0 +# define FXAA_QUALITY__PS 10 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 2.0 +# define FXAA_QUALITY__P7 2.0 +# define FXAA_QUALITY__P8 4.0 +# define FXAA_QUALITY__P9 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 28) - #define FXAA_QUALITY__PS 11 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 2.0 - #define FXAA_QUALITY__P7 2.0 - #define FXAA_QUALITY__P8 2.0 - #define FXAA_QUALITY__P9 4.0 - #define FXAA_QUALITY__P10 8.0 +# define FXAA_QUALITY__PS 11 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 2.0 +# define FXAA_QUALITY__P7 2.0 +# define FXAA_QUALITY__P8 2.0 +# define FXAA_QUALITY__P9 4.0 +# define FXAA_QUALITY__P10 8.0 #endif /*--------------------------------------------------------------------------*/ #if (FXAA_QUALITY__PRESET == 29) - #define FXAA_QUALITY__PS 12 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.5 - #define FXAA_QUALITY__P2 2.0 - #define FXAA_QUALITY__P3 2.0 - #define FXAA_QUALITY__P4 2.0 - #define FXAA_QUALITY__P5 2.0 - #define FXAA_QUALITY__P6 2.0 - #define FXAA_QUALITY__P7 2.0 - #define FXAA_QUALITY__P8 2.0 - #define FXAA_QUALITY__P9 2.0 - #define FXAA_QUALITY__P10 4.0 - #define FXAA_QUALITY__P11 8.0 +# define FXAA_QUALITY__PS 12 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.5 +# define FXAA_QUALITY__P2 2.0 +# define FXAA_QUALITY__P3 2.0 +# define FXAA_QUALITY__P4 2.0 +# define FXAA_QUALITY__P5 2.0 +# define FXAA_QUALITY__P6 2.0 +# define FXAA_QUALITY__P7 2.0 +# define FXAA_QUALITY__P8 2.0 +# define FXAA_QUALITY__P9 2.0 +# define FXAA_QUALITY__P10 4.0 +# define FXAA_QUALITY__P11 8.0 #endif /*============================================================================ FXAA QUALITY - EXTREME QUALITY ============================================================================*/ #if (FXAA_QUALITY__PRESET == 39) - #define FXAA_QUALITY__PS 12 - #define FXAA_QUALITY__P0 1.0 - #define FXAA_QUALITY__P1 1.0 - #define FXAA_QUALITY__P2 1.0 - #define FXAA_QUALITY__P3 1.0 - #define FXAA_QUALITY__P4 1.0 - #define FXAA_QUALITY__P5 1.5 - #define FXAA_QUALITY__P6 2.0 - #define FXAA_QUALITY__P7 2.0 - #define FXAA_QUALITY__P8 2.0 - #define FXAA_QUALITY__P9 2.0 - #define FXAA_QUALITY__P10 4.0 - #define FXAA_QUALITY__P11 8.0 +# define FXAA_QUALITY__PS 12 +# define FXAA_QUALITY__P0 1.0 +# define FXAA_QUALITY__P1 1.0 +# define FXAA_QUALITY__P2 1.0 +# define FXAA_QUALITY__P3 1.0 +# define FXAA_QUALITY__P4 1.0 +# define FXAA_QUALITY__P5 1.5 +# define FXAA_QUALITY__P6 2.0 +# define FXAA_QUALITY__P7 2.0 +# define FXAA_QUALITY__P8 2.0 +# define FXAA_QUALITY__P9 2.0 +# define FXAA_QUALITY__P10 4.0 +# define FXAA_QUALITY__P11 8.0 #endif #define FxaaSat(x) clamp(x, 0.0, 1.0) #ifdef FXAA_ALPHA -#define FxaaTexTop(t, p) textureLod(t, p, 0.0).aaaa -#define FxaaTexOff(t, p, o, r) textureLodOffset(t, p, 0.0, o).aaaa -#define FxaaLuma(rgba) rgba.a +# define FxaaTexTop(t, p) textureLod(t, p, 0.0).aaaa +# define FxaaTexOff(t, p, o, r) textureLodOffset(t, p, 0.0, o).aaaa +# define FxaaLuma(rgba) rgba.a #else -#define FxaaTexTop(t, p) textureLod(t, p, 0.0) -#define FxaaTexOff(t, p, o, r) textureLodOffset(t, p, 0.0, o) +# define FxaaTexTop(t, p) textureLod(t, p, 0.0) +# define FxaaTexOff(t, p, o, r) textureLodOffset(t, p, 0.0, o) /* (#B1#) */ -float FxaaLuma(vec4 rgba) { - // note: sqrt because the sampled colors are in a linear colorspace! - // this approximates a perceptual conversion, which is good enough for the - // algorithm - return sqrt(dot(rgba.rgb, vec3(0.2126, 0.7152, 0.0722))); +float FxaaLuma(vec4 rgba) +{ + // note: sqrt because the sampled colors are in a linear colorspace! + // this approximates a perceptual conversion, which is good enough for the + // algorithm + return sqrt(dot(rgba.rgb, vec3(0.2126, 0.7152, 0.0722))); } #endif @@ -355,323 +356,426 @@ vec4 FxaaPixelShader( // 0.0833 - upper limit (default, the start of visible unfiltered edges) // 0.0625 - high quality (faster) // 0.0312 - visible limit (slower) - float fxaaQualityEdgeThresholdMin -) { -/*--------------------------------------------------------------------------*/ - vec2 posM; - posM.x = pos.x; - posM.y = pos.y; - vec4 rgbyM = FxaaTexTop(tex, posM); - float lumaM = FxaaLuma(rgbyM); // (#B4#) - float lumaS = FxaaLuma(FxaaTexOff(tex, posM, ivec2( 0, 1), fxaaQualityRcpFrame.xy)); - float lumaE = FxaaLuma(FxaaTexOff(tex, posM, ivec2( 1, 0), fxaaQualityRcpFrame.xy)); - float lumaN = FxaaLuma(FxaaTexOff(tex, posM, ivec2( 0,-1), fxaaQualityRcpFrame.xy)); - float lumaW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1, 0), fxaaQualityRcpFrame.xy)); -/*--------------------------------------------------------------------------*/ - float maxSM = max(lumaS, lumaM); - float minSM = min(lumaS, lumaM); - float maxESM = max(lumaE, maxSM); - float minESM = min(lumaE, minSM); - float maxWN = max(lumaN, lumaW); - float minWN = min(lumaN, lumaW); - float rangeMax = max(maxWN, maxESM); - float rangeMin = min(minWN, minESM); - float rangeMaxScaled = rangeMax * fxaaQualityEdgeThreshold; - float range = rangeMax - rangeMin; - float rangeMaxClamped = max(fxaaQualityEdgeThresholdMin, rangeMaxScaled); - bool earlyExit = range < rangeMaxClamped; -/*--------------------------------------------------------------------------*/ - if(earlyExit) { - return rgbyM; - } -/*--------------------------------------------------------------------------*/ - float lumaNW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1,-1), fxaaQualityRcpFrame.xy)); - float lumaSE = FxaaLuma(FxaaTexOff(tex, posM, ivec2( 1, 1), fxaaQualityRcpFrame.xy)); - float lumaNE = FxaaLuma(FxaaTexOff(tex, posM, ivec2( 1,-1), fxaaQualityRcpFrame.xy)); - float lumaSW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1, 1), fxaaQualityRcpFrame.xy)); -/*--------------------------------------------------------------------------*/ - float lumaNS = lumaN + lumaS; - float lumaWE = lumaW + lumaE; - float subpixRcpRange = 1.0/range; - float subpixNSWE = lumaNS + lumaWE; - float edgeHorz1 = (-2.0 * lumaM) + lumaNS; - float edgeVert1 = (-2.0 * lumaM) + lumaWE; -/*--------------------------------------------------------------------------*/ - float lumaNESE = lumaNE + lumaSE; - float lumaNWNE = lumaNW + lumaNE; - float edgeHorz2 = (-2.0 * lumaE) + lumaNESE; - float edgeVert2 = (-2.0 * lumaN) + lumaNWNE; -/*--------------------------------------------------------------------------*/ - float lumaNWSW = lumaNW + lumaSW; - float lumaSWSE = lumaSW + lumaSE; - float edgeHorz4 = (abs(edgeHorz1) * 2.0) + abs(edgeHorz2); - float edgeVert4 = (abs(edgeVert1) * 2.0) + abs(edgeVert2); - float edgeHorz3 = (-2.0 * lumaW) + lumaNWSW; - float edgeVert3 = (-2.0 * lumaS) + lumaSWSE; - float edgeHorz = abs(edgeHorz3) + edgeHorz4; - float edgeVert = abs(edgeVert3) + edgeVert4; -/*--------------------------------------------------------------------------*/ - float subpixNWSWNESE = lumaNWSW + lumaNESE; - float lengthSign = fxaaQualityRcpFrame.x; - bool horzSpan = edgeHorz >= edgeVert; - float subpixA = subpixNSWE * 2.0 + subpixNWSWNESE; -/*--------------------------------------------------------------------------*/ - if(!horzSpan) lumaN = lumaW; - if(!horzSpan) lumaS = lumaE; - if(horzSpan) lengthSign = fxaaQualityRcpFrame.y; - float subpixB = (subpixA * (1.0/12.0)) - lumaM; -/*--------------------------------------------------------------------------*/ - float gradientN = lumaN - lumaM; - float gradientS = lumaS - lumaM; - float lumaNN = lumaN + lumaM; - float lumaSS = lumaS + lumaM; - bool pairN = abs(gradientN) >= abs(gradientS); - float gradient = max(abs(gradientN), abs(gradientS)); - if(pairN) lengthSign = -lengthSign; - float subpixC = FxaaSat(abs(subpixB) * subpixRcpRange); -/*--------------------------------------------------------------------------*/ - vec2 posB; - posB.x = posM.x; - posB.y = posM.y; - vec2 offNP; - offNP.x = (!horzSpan) ? 0.0 : fxaaQualityRcpFrame.x; - offNP.y = ( horzSpan) ? 0.0 : fxaaQualityRcpFrame.y; - if(!horzSpan) posB.x += lengthSign * 0.5; - if( horzSpan) posB.y += lengthSign * 0.5; -/*--------------------------------------------------------------------------*/ - vec2 posN; - posN.x = posB.x - offNP.x * FXAA_QUALITY__P0; - posN.y = posB.y - offNP.y * FXAA_QUALITY__P0; - vec2 posP; - posP.x = posB.x + offNP.x * FXAA_QUALITY__P0; - posP.y = posB.y + offNP.y * FXAA_QUALITY__P0; - float subpixD = ((-2.0)*subpixC) + 3.0; - float lumaEndN = FxaaLuma(FxaaTexTop(tex, posN)); - float subpixE = subpixC * subpixC; - float lumaEndP = FxaaLuma(FxaaTexTop(tex, posP)); -/*--------------------------------------------------------------------------*/ - if(!pairN) lumaNN = lumaSS; - float gradientScaled = gradient * 1.0/4.0; - float lumaMM = lumaM - lumaNN * 0.5; - float subpixF = subpixD * subpixE; - bool lumaMLTZero = lumaMM < 0.0; -/*--------------------------------------------------------------------------*/ - lumaEndN -= lumaNN * 0.5; - lumaEndP -= lumaNN * 0.5; - bool doneN = abs(lumaEndN) >= gradientScaled; - bool doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P1; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P1; - bool doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P1; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P1; -/*--------------------------------------------------------------------------*/ - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P2; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P2; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P2; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P2; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 3) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P3; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P3; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P3; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P3; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 4) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P4; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P4; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P4; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P4; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 5) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P5; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P5; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P5; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P5; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 6) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P6; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P6; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P6; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P6; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 7) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; - doneN = abs(lumaEndN) >= gradientScaled; - doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P7; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P7; - doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P7; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P7; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 8) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; + float fxaaQualityEdgeThresholdMin) +{ + /*--------------------------------------------------------------------------*/ + vec2 posM; + posM.x = pos.x; + posM.y = pos.y; + vec4 rgbyM = FxaaTexTop(tex, posM); + float lumaM = FxaaLuma(rgbyM); // (#B4#) + float lumaS = FxaaLuma(FxaaTexOff(tex, posM, ivec2(0, 1), fxaaQualityRcpFrame.xy)); + float lumaE = FxaaLuma(FxaaTexOff(tex, posM, ivec2(1, 0), fxaaQualityRcpFrame.xy)); + float lumaN = FxaaLuma(FxaaTexOff(tex, posM, ivec2(0, -1), fxaaQualityRcpFrame.xy)); + float lumaW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1, 0), fxaaQualityRcpFrame.xy)); + /*--------------------------------------------------------------------------*/ + float maxSM = max(lumaS, lumaM); + float minSM = min(lumaS, lumaM); + float maxESM = max(lumaE, maxSM); + float minESM = min(lumaE, minSM); + float maxWN = max(lumaN, lumaW); + float minWN = min(lumaN, lumaW); + float rangeMax = max(maxWN, maxESM); + float rangeMin = min(minWN, minESM); + float rangeMaxScaled = rangeMax * fxaaQualityEdgeThreshold; + float range = rangeMax - rangeMin; + float rangeMaxClamped = max(fxaaQualityEdgeThresholdMin, rangeMaxScaled); + bool earlyExit = range < rangeMaxClamped; + /*--------------------------------------------------------------------------*/ + if (earlyExit) { + return rgbyM; + } + /*--------------------------------------------------------------------------*/ + float lumaNW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1, -1), fxaaQualityRcpFrame.xy)); + float lumaSE = FxaaLuma(FxaaTexOff(tex, posM, ivec2(1, 1), fxaaQualityRcpFrame.xy)); + float lumaNE = FxaaLuma(FxaaTexOff(tex, posM, ivec2(1, -1), fxaaQualityRcpFrame.xy)); + float lumaSW = FxaaLuma(FxaaTexOff(tex, posM, ivec2(-1, 1), fxaaQualityRcpFrame.xy)); + /*--------------------------------------------------------------------------*/ + float lumaNS = lumaN + lumaS; + float lumaWE = lumaW + lumaE; + float subpixRcpRange = 1.0 / range; + float subpixNSWE = lumaNS + lumaWE; + float edgeHorz1 = (-2.0 * lumaM) + lumaNS; + float edgeVert1 = (-2.0 * lumaM) + lumaWE; + /*--------------------------------------------------------------------------*/ + float lumaNESE = lumaNE + lumaSE; + float lumaNWNE = lumaNW + lumaNE; + float edgeHorz2 = (-2.0 * lumaE) + lumaNESE; + float edgeVert2 = (-2.0 * lumaN) + lumaNWNE; + /*--------------------------------------------------------------------------*/ + float lumaNWSW = lumaNW + lumaSW; + float lumaSWSE = lumaSW + lumaSE; + float edgeHorz4 = (abs(edgeHorz1) * 2.0) + abs(edgeHorz2); + float edgeVert4 = (abs(edgeVert1) * 2.0) + abs(edgeVert2); + float edgeHorz3 = (-2.0 * lumaW) + lumaNWSW; + float edgeVert3 = (-2.0 * lumaS) + lumaSWSE; + float edgeHorz = abs(edgeHorz3) + edgeHorz4; + float edgeVert = abs(edgeVert3) + edgeVert4; + /*--------------------------------------------------------------------------*/ + float subpixNWSWNESE = lumaNWSW + lumaNESE; + float lengthSign = fxaaQualityRcpFrame.x; + bool horzSpan = edgeHorz >= edgeVert; + float subpixA = subpixNSWE * 2.0 + subpixNWSWNESE; + /*--------------------------------------------------------------------------*/ + if (!horzSpan) + lumaN = lumaW; + if (!horzSpan) + lumaS = lumaE; + if (horzSpan) + lengthSign = fxaaQualityRcpFrame.y; + float subpixB = (subpixA * (1.0 / 12.0)) - lumaM; + /*--------------------------------------------------------------------------*/ + float gradientN = lumaN - lumaM; + float gradientS = lumaS - lumaM; + float lumaNN = lumaN + lumaM; + float lumaSS = lumaS + lumaM; + bool pairN = abs(gradientN) >= abs(gradientS); + float gradient = max(abs(gradientN), abs(gradientS)); + if (pairN) + lengthSign = -lengthSign; + float subpixC = FxaaSat(abs(subpixB) * subpixRcpRange); + /*--------------------------------------------------------------------------*/ + vec2 posB; + posB.x = posM.x; + posB.y = posM.y; + vec2 offNP; + offNP.x = (!horzSpan) ? 0.0 : fxaaQualityRcpFrame.x; + offNP.y = (horzSpan) ? 0.0 : fxaaQualityRcpFrame.y; + if (!horzSpan) + posB.x += lengthSign * 0.5; + if (horzSpan) + posB.y += lengthSign * 0.5; + /*--------------------------------------------------------------------------*/ + vec2 posN; + posN.x = posB.x - offNP.x * FXAA_QUALITY__P0; + posN.y = posB.y - offNP.y * FXAA_QUALITY__P0; + vec2 posP; + posP.x = posB.x + offNP.x * FXAA_QUALITY__P0; + posP.y = posB.y + offNP.y * FXAA_QUALITY__P0; + float subpixD = ((-2.0) * subpixC) + 3.0; + float lumaEndN = FxaaLuma(FxaaTexTop(tex, posN)); + float subpixE = subpixC * subpixC; + float lumaEndP = FxaaLuma(FxaaTexTop(tex, posP)); + /*--------------------------------------------------------------------------*/ + if (!pairN) + lumaNN = lumaSS; + float gradientScaled = gradient * 1.0 / 4.0; + float lumaMM = lumaM - lumaNN * 0.5; + float subpixF = subpixD * subpixE; + bool lumaMLTZero = lumaMM < 0.0; + /*--------------------------------------------------------------------------*/ + lumaEndN -= lumaNN * 0.5; + lumaEndP -= lumaNN * 0.5; + bool doneN = abs(lumaEndN) >= gradientScaled; + bool doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P1; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P1; + bool doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P1; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P1; + /*--------------------------------------------------------------------------*/ + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P2; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P2; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P2; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P2; + /*--------------------------------------------------------------------------*/ +#if (FXAA_QUALITY__PS > 3) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P3; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P3; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P3; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P3; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 4) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; doneN = abs(lumaEndN) >= gradientScaled; doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P8; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P8; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P4; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P4; doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P8; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P8; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 9) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P4; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P4; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 5) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P5; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P5; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P5; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P5; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 6) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; doneN = abs(lumaEndN) >= gradientScaled; doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P9; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P9; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P6; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P6; doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P9; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P9; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 10) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P6; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P6; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 7) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P7; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P7; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P7; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P7; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 8) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; doneN = abs(lumaEndN) >= gradientScaled; doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P10; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P10; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P8; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P8; doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P10; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P10; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 11) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P8; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P8; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 9) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P9; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P9; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P9; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P9; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 10) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; doneN = abs(lumaEndN) >= gradientScaled; doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P11; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P11; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P10; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P10; doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P11; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P11; -/*--------------------------------------------------------------------------*/ - #if (FXAA_QUALITY__PS > 12) - if(doneNP) { - if(!doneN) lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); - if(!doneP) lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); - if(!doneN) lumaEndN = lumaEndN - lumaNN * 0.5; - if(!doneP) lumaEndP = lumaEndP - lumaNN * 0.5; + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P10; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P10; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 11) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; + doneN = abs(lumaEndN) >= gradientScaled; + doneP = abs(lumaEndP) >= gradientScaled; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P11; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P11; + doneNP = (!doneN) || (!doneP); + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P11; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P11; + /*--------------------------------------------------------------------------*/ +# if (FXAA_QUALITY__PS > 12) + if (doneNP) { + if (!doneN) + lumaEndN = FxaaLuma(FxaaTexTop(tex, posN.xy)); + if (!doneP) + lumaEndP = FxaaLuma(FxaaTexTop(tex, posP.xy)); + if (!doneN) + lumaEndN = lumaEndN - lumaNN * 0.5; + if (!doneP) + lumaEndP = lumaEndP - lumaNN * 0.5; doneN = abs(lumaEndN) >= gradientScaled; doneP = abs(lumaEndP) >= gradientScaled; - if(!doneN) posN.x -= offNP.x * FXAA_QUALITY__P12; - if(!doneN) posN.y -= offNP.y * FXAA_QUALITY__P12; + if (!doneN) + posN.x -= offNP.x * FXAA_QUALITY__P12; + if (!doneN) + posN.y -= offNP.y * FXAA_QUALITY__P12; doneNP = (!doneN) || (!doneP); - if(!doneP) posP.x += offNP.x * FXAA_QUALITY__P12; - if(!doneP) posP.y += offNP.y * FXAA_QUALITY__P12; -/*--------------------------------------------------------------------------*/ + if (!doneP) + posP.x += offNP.x * FXAA_QUALITY__P12; + if (!doneP) + posP.y += offNP.y * FXAA_QUALITY__P12; + /*--------------------------------------------------------------------------*/ + } +# endif + /*--------------------------------------------------------------------------*/ } - #endif -/*--------------------------------------------------------------------------*/ +# endif + /*--------------------------------------------------------------------------*/ + } +# endif + /*--------------------------------------------------------------------------*/ } - #endif -/*--------------------------------------------------------------------------*/ +# endif + /*--------------------------------------------------------------------------*/ + } +# endif + /*--------------------------------------------------------------------------*/ } - #endif -/*--------------------------------------------------------------------------*/ +# endif + /*--------------------------------------------------------------------------*/ + } +# endif + /*--------------------------------------------------------------------------*/ } - #endif -/*--------------------------------------------------------------------------*/ +# endif + /*--------------------------------------------------------------------------*/ + } +# endif + /*--------------------------------------------------------------------------*/ } - #endif -/*--------------------------------------------------------------------------*/ - } - #endif -/*--------------------------------------------------------------------------*/ - } - #endif -/*--------------------------------------------------------------------------*/ - } - #endif -/*--------------------------------------------------------------------------*/ - } - #endif -/*--------------------------------------------------------------------------*/ - } - #endif -/*--------------------------------------------------------------------------*/ - } -/*--------------------------------------------------------------------------*/ - float dstN = posM.x - posN.x; - float dstP = posP.x - posM.x; - if(!horzSpan) dstN = posM.y - posN.y; - if(!horzSpan) dstP = posP.y - posM.y; -/*--------------------------------------------------------------------------*/ - bool goodSpanN = (lumaEndN < 0.0) != lumaMLTZero; - float spanLength = (dstP + dstN); - bool goodSpanP = (lumaEndP < 0.0) != lumaMLTZero; - float spanLengthRcp = 1.0/spanLength; -/*--------------------------------------------------------------------------*/ - bool directionN = dstN < dstP; - float dst = min(dstN, dstP); - bool goodSpan = directionN ? goodSpanN : goodSpanP; - float subpixG = subpixF * subpixF; - float pixelOffset = (dst * (-spanLengthRcp)) + 0.5; - float subpixH = subpixG * fxaaQualitySubpix; -/*--------------------------------------------------------------------------*/ - float pixelOffsetGood = goodSpan ? pixelOffset : 0.0; - float pixelOffsetSubpix = max(pixelOffsetGood, subpixH); - if(!horzSpan) posM.x += pixelOffsetSubpix * lengthSign; - if( horzSpan) posM.y += pixelOffsetSubpix * lengthSign; - return vec4(FxaaTexTop(tex, posM).xyz, lumaM); +#endif + /*--------------------------------------------------------------------------*/ + } + /*--------------------------------------------------------------------------*/ + float dstN = posM.x - posN.x; + float dstP = posP.x - posM.x; + if (!horzSpan) + dstN = posM.y - posN.y; + if (!horzSpan) + dstP = posP.y - posM.y; + /*--------------------------------------------------------------------------*/ + bool goodSpanN = (lumaEndN < 0.0) != lumaMLTZero; + float spanLength = (dstP + dstN); + bool goodSpanP = (lumaEndP < 0.0) != lumaMLTZero; + float spanLengthRcp = 1.0 / spanLength; + /*--------------------------------------------------------------------------*/ + bool directionN = dstN < dstP; + float dst = min(dstN, dstP); + bool goodSpan = directionN ? goodSpanN : goodSpanP; + float subpixG = subpixF * subpixF; + float pixelOffset = (dst * (-spanLengthRcp)) + 0.5; + float subpixH = subpixG * fxaaQualitySubpix; + /*--------------------------------------------------------------------------*/ + float pixelOffsetGood = goodSpan ? pixelOffset : 0.0; + float pixelOffsetSubpix = max(pixelOffsetGood, subpixH); + if (!horzSpan) + posM.x += pixelOffsetSubpix * lengthSign; + if (horzSpan) + posM.y += pixelOffsetSubpix * lengthSign; + return vec4(FxaaTexTop(tex, posM).xyz, lumaM); } /*==========================================================================*/ diff --git a/source/blender/draw/modes/shaders/common_globals_lib.glsl b/source/blender/draw/modes/shaders/common_globals_lib.glsl index 88540b13941..3cc6ac9a5a4 100644 --- a/source/blender/draw/modes/shaders/common_globals_lib.glsl +++ b/source/blender/draw/modes/shaders/common_globals_lib.glsl @@ -1,101 +1,102 @@ /* keep in sync with GlobalsUboStorage */ -layout(std140) uniform globalsBlock { - vec4 colorWire; - vec4 colorWireEdit; - vec4 colorActive; - vec4 colorSelect; - vec4 colorDupliSelect; - vec4 colorDupli; - vec4 colorLibrarySelect; - vec4 colorLibrary; - vec4 colorTransform; - vec4 colorLight; - vec4 colorSpeaker; - vec4 colorCamera; - vec4 colorEmpty; - vec4 colorVertex; - vec4 colorVertexSelect; - vec4 colorVertexUnreferenced; - vec4 colorVertexMissingData; - vec4 colorEditMeshActive; - vec4 colorEdgeSelect; - vec4 colorEdgeSeam; - vec4 colorEdgeSharp; - vec4 colorEdgeCrease; - vec4 colorEdgeBWeight; - vec4 colorEdgeFaceSelect; - vec4 colorEdgeFreestyle; - vec4 colorFace; - vec4 colorFaceSelect; - vec4 colorFaceFreestyle; - vec4 colorNormal; - vec4 colorVNormal; - vec4 colorLNormal; - vec4 colorFaceDot; - vec4 colorDeselect; - vec4 colorOutline; - vec4 colorLightNoAlpha; +layout(std140) uniform globalsBlock +{ + vec4 colorWire; + vec4 colorWireEdit; + vec4 colorActive; + vec4 colorSelect; + vec4 colorDupliSelect; + vec4 colorDupli; + vec4 colorLibrarySelect; + vec4 colorLibrary; + vec4 colorTransform; + vec4 colorLight; + vec4 colorSpeaker; + vec4 colorCamera; + vec4 colorEmpty; + vec4 colorVertex; + vec4 colorVertexSelect; + vec4 colorVertexUnreferenced; + vec4 colorVertexMissingData; + vec4 colorEditMeshActive; + vec4 colorEdgeSelect; + vec4 colorEdgeSeam; + vec4 colorEdgeSharp; + vec4 colorEdgeCrease; + vec4 colorEdgeBWeight; + vec4 colorEdgeFaceSelect; + vec4 colorEdgeFreestyle; + vec4 colorFace; + vec4 colorFaceSelect; + vec4 colorFaceFreestyle; + vec4 colorNormal; + vec4 colorVNormal; + vec4 colorLNormal; + vec4 colorFaceDot; + vec4 colorDeselect; + vec4 colorOutline; + vec4 colorLightNoAlpha; - vec4 colorBackground; - vec4 colorEditMeshMiddle; + vec4 colorBackground; + vec4 colorEditMeshMiddle; - vec4 colorHandleFree; - vec4 colorHandleAuto; - vec4 colorHandleVect; - vec4 colorHandleAlign; - vec4 colorHandleAutoclamp; - vec4 colorHandleSelFree; - vec4 colorHandleSelAuto; - vec4 colorHandleSelVect; - vec4 colorHandleSelAlign; - vec4 colorHandleSelAutoclamp; - vec4 colorNurbUline; - vec4 colorNurbVline; - vec4 colorNurbSelUline; - vec4 colorNurbSelVline; - vec4 colorActiveSpline; + vec4 colorHandleFree; + vec4 colorHandleAuto; + vec4 colorHandleVect; + vec4 colorHandleAlign; + vec4 colorHandleAutoclamp; + vec4 colorHandleSelFree; + vec4 colorHandleSelAuto; + vec4 colorHandleSelVect; + vec4 colorHandleSelAlign; + vec4 colorHandleSelAutoclamp; + vec4 colorNurbUline; + vec4 colorNurbVline; + vec4 colorNurbSelUline; + vec4 colorNurbSelVline; + vec4 colorActiveSpline; - vec4 colorBonePose; + vec4 colorBonePose; - vec4 colorCurrentFrame; + vec4 colorCurrentFrame; - vec4 colorGrid; - vec4 colorGridEmphasise; - vec4 colorGridAxisX; - vec4 colorGridAxisY; - vec4 colorGridAxisZ; + vec4 colorGrid; + vec4 colorGridEmphasise; + vec4 colorGridAxisX; + vec4 colorGridAxisY; + vec4 colorGridAxisZ; - float sizeLightCenter; - float sizeLightCircle; - float sizeLightCircleShadow; - float sizeVertex; - float sizeEdge; - float sizeEdgeFix; - float sizeFaceDot; + float sizeLightCenter; + float sizeLightCircle; + float sizeLightCircleShadow; + float sizeVertex; + float sizeEdge; + float sizeEdgeFix; + float sizeFaceDot; - float gridDistance; - float gridResolution; - float gridSubdivisions; - float gridScale; + float gridDistance; + float gridResolution; + float gridSubdivisions; + float gridScale; - float pad_globalsBlock; + float pad_globalsBlock; }; /* data[0] (1nd byte flags) */ -#define FACE_ACTIVE (1 << 0) -#define FACE_SELECTED (1 << 1) -#define FACE_FREESTYLE (1 << 2) -#define VERT_UV_SELECT (1 << 3) -#define VERT_UV_PINNED (1 << 4) -#define EDGE_UV_SELECT (1 << 5) -#define FACE_UV_ACTIVE (1 << 6) -#define FACE_UV_SELECT (1 << 7) +#define FACE_ACTIVE (1 << 0) +#define FACE_SELECTED (1 << 1) +#define FACE_FREESTYLE (1 << 2) +#define VERT_UV_SELECT (1 << 3) +#define VERT_UV_PINNED (1 << 4) +#define EDGE_UV_SELECT (1 << 5) +#define FACE_UV_ACTIVE (1 << 6) +#define FACE_UV_SELECT (1 << 7) /* data[1] (2st byte flags) */ -#define VERT_ACTIVE (1 << 0) -#define VERT_SELECTED (1 << 1) -#define EDGE_ACTIVE (1 << 2) -#define EDGE_SELECTED (1 << 3) -#define EDGE_SEAM (1 << 4) -#define EDGE_SHARP (1 << 5) -#define EDGE_FREESTYLE (1 << 6) +#define VERT_ACTIVE (1 << 0) +#define VERT_SELECTED (1 << 1) +#define EDGE_ACTIVE (1 << 2) +#define EDGE_SELECTED (1 << 3) +#define EDGE_SEAM (1 << 4) +#define EDGE_SHARP (1 << 5) +#define EDGE_FREESTYLE (1 << 6) diff --git a/source/blender/draw/modes/shaders/common_hair_lib.glsl b/source/blender/draw/modes/shaders/common_hair_lib.glsl index 14df29f2e94..02254908232 100644 --- a/source/blender/draw/modes/shaders/common_hair_lib.glsl +++ b/source/blender/draw/modes/shaders/common_hair_lib.glsl @@ -30,11 +30,11 @@ uniform mat4 hairDupliMatrix; /* -- Per control points -- */ uniform samplerBuffer hairPointBuffer; /* RGBA32F */ -#define point_position xyz -#define point_time w /* Position along the hair length */ +#define point_position xyz +#define point_time w /* Position along the hair length */ /* -- Per strands data -- */ -uniform usamplerBuffer hairStrandBuffer; /* R32UI */ +uniform usamplerBuffer hairStrandBuffer; /* R32UI */ uniform usamplerBuffer hairStrandSegBuffer; /* R16UI */ /* Not used, use one buffer per uv layer */ @@ -53,39 +53,40 @@ uniform usamplerBuffer hairStrandSegBuffer; /* R16UI */ #ifdef HAIR_PHASE_SUBDIV int hair_get_base_id(float local_time, int strand_segments, out float interp_time) { - float time_per_strand_seg = 1.0 / float(strand_segments); + float time_per_strand_seg = 1.0 / float(strand_segments); - float ratio = local_time / time_per_strand_seg; - interp_time = fract(ratio); + float ratio = local_time / time_per_strand_seg; + interp_time = fract(ratio); - return int(ratio); + return int(ratio); } -void hair_get_interp_attrs(out vec4 data0, out vec4 data1, out vec4 data2, out vec4 data3, out float interp_time) +void hair_get_interp_attrs( + out vec4 data0, out vec4 data1, out vec4 data2, out vec4 data3, out float interp_time) { - float local_time = float(gl_VertexID % hairStrandsRes) / float(hairStrandsRes - 1); + float local_time = float(gl_VertexID % hairStrandsRes) / float(hairStrandsRes - 1); - int hair_id = gl_VertexID / hairStrandsRes; - int strand_offset = int(texelFetch(hairStrandBuffer, hair_id).x); - int strand_segments = int(texelFetch(hairStrandSegBuffer, hair_id).x); + int hair_id = gl_VertexID / hairStrandsRes; + int strand_offset = int(texelFetch(hairStrandBuffer, hair_id).x); + int strand_segments = int(texelFetch(hairStrandSegBuffer, hair_id).x); - int id = hair_get_base_id(local_time, strand_segments, interp_time); + int id = hair_get_base_id(local_time, strand_segments, interp_time); - int ofs_id = id + strand_offset; + int ofs_id = id + strand_offset; - data0 = texelFetch(hairPointBuffer, ofs_id - 1); - data1 = texelFetch(hairPointBuffer, ofs_id); - data2 = texelFetch(hairPointBuffer, ofs_id + 1); - data3 = texelFetch(hairPointBuffer, ofs_id + 2); + data0 = texelFetch(hairPointBuffer, ofs_id - 1); + data1 = texelFetch(hairPointBuffer, ofs_id); + data2 = texelFetch(hairPointBuffer, ofs_id + 1); + data3 = texelFetch(hairPointBuffer, ofs_id + 2); - if (id <= 0) { - /* root points. Need to reconstruct previous data. */ - data0 = data1 * 2.0 - data2; - } - if (id + 1 >= strand_segments) { - /* tip points. Need to reconstruct next data. */ - data3 = data2 * 2.0 - data1; - } + if (id <= 0) { + /* root points. Need to reconstruct previous data. */ + data0 = data1 * 2.0 - data2; + } + if (id + 1 >= strand_segments) { + /* tip points. Need to reconstruct next data. */ + data3 = data2 * 2.0 - data1; + } } #endif @@ -97,102 +98,109 @@ void hair_get_interp_attrs(out vec4 data0, out vec4 data1, out vec4 data2, out v #ifndef HAIR_PHASE_SUBDIV int hair_get_strand_id(void) { - return gl_VertexID / (hairStrandsRes * hairThicknessRes); + return gl_VertexID / (hairStrandsRes * hairThicknessRes); } int hair_get_base_id(void) { - return gl_VertexID / hairThicknessRes; + return gl_VertexID / hairThicknessRes; } /* Copied from cycles. */ float hair_shaperadius(float shape, float root, float tip, float time) { - float radius = 1.0 - time; + float radius = 1.0 - time; - if (shape < 0.0) { - radius = pow(radius, 1.0 + shape); - } - else { - radius = pow(radius, 1.0 / (1.0 - shape)); - } + if (shape < 0.0) { + radius = pow(radius, 1.0 + shape); + } + else { + radius = pow(radius, 1.0 / (1.0 - shape)); + } - if (hairCloseTip && (time > 0.99)) { - return 0.0; - } + if (hairCloseTip && (time > 0.99)) { + return 0.0; + } - return (radius * (root - tip)) + tip; + return (radius * (root - tip)) + tip; } -#ifdef OS_MAC +# ifdef OS_MAC in float dummy; -#endif - -void hair_get_pos_tan_binor_time( - bool is_persp, mat4 invmodel_mat, vec3 camera_pos, vec3 camera_z, - out vec3 wpos, out vec3 wtan, out vec3 wbinor, out float time, out float thickness, out float thick_time) +# endif + +void hair_get_pos_tan_binor_time(bool is_persp, + mat4 invmodel_mat, + vec3 camera_pos, + vec3 camera_z, + out vec3 wpos, + out vec3 wtan, + out vec3 wbinor, + out float time, + out float thickness, + out float thick_time) { - int id = hair_get_base_id(); - vec4 data = texelFetch(hairPointBuffer, id); - wpos = data.point_position; - time = data.point_time; - -#ifdef OS_MAC - /* Generate a dummy read to avoid the driver bug with shaders having no - * vertex reads on macOS (T60171) */ - wpos.y += dummy * 0.0; -#endif - - if (time == 0.0) { - /* Hair root */ - wtan = texelFetch(hairPointBuffer, id + 1).point_position - wpos; - } - else { - wtan = wpos - texelFetch(hairPointBuffer, id - 1).point_position; - } - - wpos = (hairDupliMatrix * vec4(wpos, 1.0)).xyz; - wtan = mat3(hairDupliMatrix) * wtan; - - vec3 camera_vec = (is_persp) ? wpos - camera_pos : -camera_z; - wbinor = normalize(cross(camera_vec, wtan)); - - thickness = hair_shaperadius(hairRadShape, hairRadRoot, hairRadTip, time); - - if (hairThicknessRes > 1) { - thick_time = float(gl_VertexID % hairThicknessRes) / float(hairThicknessRes - 1); - thick_time = thickness * (thick_time * 2.0 - 1.0); - - /* Take object scale into account. - * NOTE: This only works fine with uniform scaling. */ - float scale = 1.0 / length(mat3(invmodel_mat) * wbinor); - - wpos += wbinor * thick_time * scale; - } + int id = hair_get_base_id(); + vec4 data = texelFetch(hairPointBuffer, id); + wpos = data.point_position; + time = data.point_time; + +# ifdef OS_MAC + /* Generate a dummy read to avoid the driver bug with shaders having no + * vertex reads on macOS (T60171) */ + wpos.y += dummy * 0.0; +# endif + + if (time == 0.0) { + /* Hair root */ + wtan = texelFetch(hairPointBuffer, id + 1).point_position - wpos; + } + else { + wtan = wpos - texelFetch(hairPointBuffer, id - 1).point_position; + } + + wpos = (hairDupliMatrix * vec4(wpos, 1.0)).xyz; + wtan = mat3(hairDupliMatrix) * wtan; + + vec3 camera_vec = (is_persp) ? wpos - camera_pos : -camera_z; + wbinor = normalize(cross(camera_vec, wtan)); + + thickness = hair_shaperadius(hairRadShape, hairRadRoot, hairRadTip, time); + + if (hairThicknessRes > 1) { + thick_time = float(gl_VertexID % hairThicknessRes) / float(hairThicknessRes - 1); + thick_time = thickness * (thick_time * 2.0 - 1.0); + + /* Take object scale into account. + * NOTE: This only works fine with uniform scaling. */ + float scale = 1.0 / length(mat3(invmodel_mat) * wbinor); + + wpos += wbinor * thick_time * scale; + } } vec2 hair_get_customdata_vec2(const samplerBuffer cd_buf) { - int id = hair_get_strand_id(); - return texelFetch(cd_buf, id).rg; + int id = hair_get_strand_id(); + return texelFetch(cd_buf, id).rg; } vec3 hair_get_customdata_vec3(const samplerBuffer cd_buf) { - int id = hair_get_strand_id(); - return texelFetch(cd_buf, id).rgb; + int id = hair_get_strand_id(); + return texelFetch(cd_buf, id).rgb; } vec4 hair_get_customdata_vec4(const samplerBuffer cd_buf) { - int id = hair_get_strand_id(); - return texelFetch(cd_buf, id).rgba; + int id = hair_get_strand_id(); + return texelFetch(cd_buf, id).rgba; } vec3 hair_get_strand_pos(void) { - int id = hair_get_strand_id() * hairStrandsRes; - return texelFetch(hairPointBuffer, id).point_position; + int id = hair_get_strand_id() * hairStrandsRes; + return texelFetch(hairPointBuffer, id).point_position; } #endif diff --git a/source/blender/draw/modes/shaders/common_hair_refine_vert.glsl b/source/blender/draw/modes/shaders/common_hair_refine_vert.glsl index c193c307e01..3f5e3f8226f 100644 --- a/source/blender/draw/modes/shaders/common_hair_refine_vert.glsl +++ b/source/blender/draw/modes/shaders/common_hair_refine_vert.glsl @@ -5,43 +5,43 @@ out vec4 finalColor; vec4 get_weights_cardinal(float t) { - float t2 = t * t; - float t3 = t2 * t; + float t2 = t * t; + float t3 = t2 * t; #if defined(CARDINAL) - float fc = 0.71; + float fc = 0.71; #else /* defined(CATMULL_ROM) */ - float fc = 0.5; + float fc = 0.5; #endif - vec4 weights; - /* GLSL Optimized version of key_curve_position_weights() */ - float fct = t * fc; - float fct2 = t2 * fc; - float fct3 = t3 * fc; - weights.x = ( fct2 * 2.0 - fct3) - fct; - weights.y = ( t3 * 2.0 - fct3) + (-t2 * 3.0 + fct2) + 1.0; - weights.z = (-t3 * 2.0 + fct3) + ( t2 * 3.0 - (2.0 * fct2)) + fct; - weights.w = fct3 - fct2; - return weights; + vec4 weights; + /* GLSL Optimized version of key_curve_position_weights() */ + float fct = t * fc; + float fct2 = t2 * fc; + float fct3 = t3 * fc; + weights.x = (fct2 * 2.0 - fct3) - fct; + weights.y = (t3 * 2.0 - fct3) + (-t2 * 3.0 + fct2) + 1.0; + weights.z = (-t3 * 2.0 + fct3) + (t2 * 3.0 - (2.0 * fct2)) + fct; + weights.w = fct3 - fct2; + return weights; } /* TODO(fclem): This one is buggy, find why. (it's not the optimization!!) */ vec4 get_weights_bspline(float t) { - float t2 = t * t; - float t3 = t2 * t; + float t2 = t * t; + float t3 = t2 * t; - vec4 weights; - /* GLSL Optimized version of key_curve_position_weights() */ - weights.xz = vec2(-0.16666666, -0.5) * t3 + (0.5 * t2 + 0.5 * vec2(-t, t) + 0.16666666); - weights.y = ( 0.5 * t3 - t2 + 0.66666666); - weights.w = ( 0.16666666 * t3); - return weights; + vec4 weights; + /* GLSL Optimized version of key_curve_position_weights() */ + weights.xz = vec2(-0.16666666, -0.5) * t3 + (0.5 * t2 + 0.5 * vec2(-t, t) + 0.16666666); + weights.y = (0.5 * t3 - t2 + 0.66666666); + weights.w = (0.16666666 * t3); + return weights; } vec4 interp_data(vec4 v0, vec4 v1, vec4 v2, vec4 v3, vec4 w) { - return v0 * w.x + v1 * w.y + v2 * w.z + v3 * w.w; + return v0 * w.x + v1 * w.y + v2 * w.z + v3 * w.w; } #ifdef TF_WORKAROUND @@ -52,20 +52,20 @@ uniform int idOffset; void main(void) { - float interp_time; - vec4 data0, data1, data2, data3; - hair_get_interp_attrs(data0, data1, data2, data3, interp_time); + float interp_time; + vec4 data0, data1, data2, data3; + hair_get_interp_attrs(data0, data1, data2, data3, interp_time); - vec4 weights = get_weights_cardinal(interp_time); - finalColor = interp_data(data0, data1, data2, data3, weights); + vec4 weights = get_weights_cardinal(interp_time); + finalColor = interp_data(data0, data1, data2, data3, weights); #ifdef TF_WORKAROUND - int id = gl_VertexID - idOffset; - gl_Position.x = ((float(id % targetWidth) + 0.5) / float(targetWidth)) * 2.0 - 1.0; - gl_Position.y = ((float(id / targetWidth) + 0.5) / float(targetHeight)) * 2.0 - 1.0; - gl_Position.z = 0.0; - gl_Position.w = 1.0; + int id = gl_VertexID - idOffset; + gl_Position.x = ((float(id % targetWidth) + 0.5) / float(targetWidth)) * 2.0 - 1.0; + gl_Position.y = ((float(id / targetWidth) + 0.5) / float(targetHeight)) * 2.0 - 1.0; + gl_Position.z = 0.0; + gl_Position.w = 1.0; - gl_PointSize = 1.0; + gl_PointSize = 1.0; #endif } diff --git a/source/blender/draw/modes/shaders/common_view_lib.glsl b/source/blender/draw/modes/shaders/common_view_lib.glsl index d261d263a6f..de9c4e2a96e 100644 --- a/source/blender/draw/modes/shaders/common_view_lib.glsl +++ b/source/blender/draw/modes/shaders/common_view_lib.glsl @@ -1,14 +1,15 @@ /* keep in sync with DRWManager.view_data */ -layout(std140) uniform viewBlock { - /* Same order as DRWViewportMatrixType */ - mat4 ViewProjectionMatrix; - mat4 ViewProjectionMatrixInverse; - mat4 ViewMatrix; - mat4 ViewMatrixInverse; - mat4 ProjectionMatrix; - mat4 ProjectionMatrixInverse; +layout(std140) uniform viewBlock +{ + /* Same order as DRWViewportMatrixType */ + mat4 ViewProjectionMatrix; + mat4 ViewProjectionMatrixInverse; + mat4 ViewMatrix; + mat4 ViewMatrixInverse; + mat4 ProjectionMatrix; + mat4 ProjectionMatrixInverse; - vec4 CameraTexCoFactors; + vec4 CameraTexCoFactors; - vec4 clipPlanes[2]; + vec4 clipPlanes[2]; }; diff --git a/source/blender/draw/modes/shaders/edit_curve_overlay_handle_geom.glsl b/source/blender/draw/modes/shaders/edit_curve_overlay_handle_geom.glsl index c2ab0ecfd40..0a152cefaed 100644 --- a/source/blender/draw/modes/shaders/edit_curve_overlay_handle_geom.glsl +++ b/source/blender/draw/modes/shaders/edit_curve_overlay_handle_geom.glsl @@ -1,7 +1,7 @@ /* Keep the same value of `ACTIVE_NURB` in `draw_cache_imp_curve.c` */ -#define ACTIVE_NURB 1 << 2 -#define EVEN_U_BIT 1 << 3 +#define ACTIVE_NURB 1 << 2 +#define EVEN_U_BIT 1 << 3 layout(lines) in; layout(triangle_strip, max_vertices = 10) out; @@ -15,88 +15,96 @@ out vec4 finalColor; void output_line(vec2 offset, vec4 color) { - finalColor = color; + finalColor = color; - gl_Position = gl_in[0].gl_Position; - gl_Position.xy += offset * gl_in[0].gl_Position.w; + gl_Position = gl_in[0].gl_Position; + gl_Position.xy += offset * gl_in[0].gl_Position.w; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[0].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[0].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); - gl_Position = gl_in[1].gl_Position; - gl_Position.xy += offset * gl_in[1].gl_Position.w; + gl_Position = gl_in[1].gl_Position; + gl_Position.xy += offset * gl_in[1].gl_Position.w; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[1].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); } void main() { - vec4 v1 = gl_in[0].gl_Position; - vec4 v2 = gl_in[1].gl_Position; - - int is_active_nurb = (vertFlag[1] & ACTIVE_NURB); - int color_id = (vertFlag[1] >> 4); - - /* Don't output any edges if we don't show handles */ - if (!showCurveHandles && (color_id < 5)) { - return; - } - - bool edge_selected = (((vertFlag[1] | vertFlag[0]) & VERT_SELECTED) != 0); - - vec4 inner_color; - if (color_id == 0) inner_color = (edge_selected) ? colorHandleSelFree : colorHandleFree; - else if (color_id == 1) inner_color = (edge_selected) ? colorHandleSelAuto : colorHandleAuto; - else if (color_id == 2) inner_color = (edge_selected) ? colorHandleSelVect : colorHandleVect; - else if (color_id == 3) inner_color = (edge_selected) ? colorHandleSelAlign : colorHandleAlign; - else if (color_id == 4) inner_color = (edge_selected) ? colorHandleSelAutoclamp : colorHandleAutoclamp; - else { - bool is_selected = (((vertFlag[1] & vertFlag[0]) & VERT_SELECTED) != 0); - bool is_u_segment = (((vertFlag[1] ^ vertFlag[0]) & EVEN_U_BIT) != 0); - if (is_u_segment) { - inner_color = (is_selected) ? colorNurbSelUline : colorNurbUline; - } - else { - inner_color = (is_selected) ? colorNurbSelVline : colorNurbVline; - } - } - - vec4 outer_color = (is_active_nurb != 0) - ? mix(colorActiveSpline, inner_color, 0.25) /* Minimize active color bleeding on inner_color. */ - : vec4(inner_color.rgb, 0.0); - - vec2 v1_2 = (v2.xy/v2.w - v1.xy/v1.w); - vec2 offset = sizeEdge * 4.0 / viewportSize; /* 4.0 is eyeballed */ - - if (abs(v1_2.x * viewportSize.x) < abs(v1_2.y * viewportSize.y)) { - offset.y = 0.0; - } - else { - offset.x = 0.0; - } - - /* draw the transparent border (AA). */ - if (is_active_nurb != 0) { - offset *= 0.75; /* Don't make the active "halo" appear very thick. */ - output_line(offset * 2.0, vec4(colorActiveSpline.rgb, 0.0)); - } - - /* draw the outline. */ - output_line(offset, outer_color); - - /* draw the core of the line. */ - output_line(vec2(0.0), inner_color); - - /* draw the outline. */ - output_line(-offset, outer_color); - - /* draw the transparent border (AA). */ - if (is_active_nurb != 0) { - output_line(offset * -2.0, vec4(colorActiveSpline.rgb, 0.0)); - } - - EndPrimitive(); + vec4 v1 = gl_in[0].gl_Position; + vec4 v2 = gl_in[1].gl_Position; + + int is_active_nurb = (vertFlag[1] & ACTIVE_NURB); + int color_id = (vertFlag[1] >> 4); + + /* Don't output any edges if we don't show handles */ + if (!showCurveHandles && (color_id < 5)) { + return; + } + + bool edge_selected = (((vertFlag[1] | vertFlag[0]) & VERT_SELECTED) != 0); + + vec4 inner_color; + if (color_id == 0) + inner_color = (edge_selected) ? colorHandleSelFree : colorHandleFree; + else if (color_id == 1) + inner_color = (edge_selected) ? colorHandleSelAuto : colorHandleAuto; + else if (color_id == 2) + inner_color = (edge_selected) ? colorHandleSelVect : colorHandleVect; + else if (color_id == 3) + inner_color = (edge_selected) ? colorHandleSelAlign : colorHandleAlign; + else if (color_id == 4) + inner_color = (edge_selected) ? colorHandleSelAutoclamp : colorHandleAutoclamp; + else { + bool is_selected = (((vertFlag[1] & vertFlag[0]) & VERT_SELECTED) != 0); + bool is_u_segment = (((vertFlag[1] ^ vertFlag[0]) & EVEN_U_BIT) != 0); + if (is_u_segment) { + inner_color = (is_selected) ? colorNurbSelUline : colorNurbUline; + } + else { + inner_color = (is_selected) ? colorNurbSelVline : colorNurbVline; + } + } + + vec4 outer_color = (is_active_nurb != 0) ? + mix(colorActiveSpline, + inner_color, + 0.25) /* Minimize active color bleeding on inner_color. */ + : + vec4(inner_color.rgb, 0.0); + + vec2 v1_2 = (v2.xy / v2.w - v1.xy / v1.w); + vec2 offset = sizeEdge * 4.0 / viewportSize; /* 4.0 is eyeballed */ + + if (abs(v1_2.x * viewportSize.x) < abs(v1_2.y * viewportSize.y)) { + offset.y = 0.0; + } + else { + offset.x = 0.0; + } + + /* draw the transparent border (AA). */ + if (is_active_nurb != 0) { + offset *= 0.75; /* Don't make the active "halo" appear very thick. */ + output_line(offset * 2.0, vec4(colorActiveSpline.rgb, 0.0)); + } + + /* draw the outline. */ + output_line(offset, outer_color); + + /* draw the core of the line. */ + output_line(vec2(0.0), inner_color); + + /* draw the outline. */ + output_line(-offset, outer_color); + + /* draw the transparent border (AA). */ + if (is_active_nurb != 0) { + output_line(offset * -2.0, vec4(colorActiveSpline.rgb, 0.0)); + } + + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/edit_curve_overlay_handle_vert.glsl b/source/blender/draw/modes/shaders/edit_curve_overlay_handle_vert.glsl index f92aab3254c..b7166382b19 100644 --- a/source/blender/draw/modes/shaders/edit_curve_overlay_handle_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_curve_overlay_handle_vert.glsl @@ -9,11 +9,11 @@ flat out int vertFlag; void main() { - vec4 pos_4d = vec4(pos, 1.0); - gl_Position = ModelViewProjectionMatrix * pos_4d; - vertFlag = data; + vec4 pos_4d = vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * pos_4d; + vertFlag = data; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/edit_curve_overlay_loosevert_vert.glsl b/source/blender/draw/modes/shaders/edit_curve_overlay_loosevert_vert.glsl index b7ffb56ad30..4718f11db65 100644 --- a/source/blender/draw/modes/shaders/edit_curve_overlay_loosevert_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_curve_overlay_loosevert_vert.glsl @@ -10,22 +10,22 @@ out vec4 finalColor; void main() { - if ((data & VERT_SELECTED) != 0) { - if ((data & VERT_ACTIVE) != 0) { - finalColor = colorEditMeshActive; - } - else { - finalColor = colorVertexSelect; - } - } - else { - finalColor = colorVertex; - } + if ((data & VERT_SELECTED) != 0) { + if ((data & VERT_ACTIVE) != 0) { + finalColor = colorEditMeshActive; + } + else { + finalColor = colorVertexSelect; + } + } + else { + finalColor = colorVertex; + } - vec4 pos_4d = vec4(pos, 1.0); - gl_Position = ModelViewProjectionMatrix * pos_4d; - gl_PointSize = sizeVertex * 2.0; + vec4 pos_4d = vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * pos_4d; + gl_PointSize = sizeVertex * 2.0; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/edit_curve_overlay_normals_vert.glsl b/source/blender/draw/modes/shaders/edit_curve_overlay_normals_vert.glsl index da05d224283..02244086711 100644 --- a/source/blender/draw/modes/shaders/edit_curve_overlay_normals_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_curve_overlay_normals_vert.glsl @@ -10,18 +10,18 @@ in float rad; void main() { - vec3 final_pos = pos; + vec3 final_pos = pos; - float flip = (gl_InstanceID != 0) ? -1.0 : 1.0; + float flip = (gl_InstanceID != 0) ? -1.0 : 1.0; - if (gl_VertexID % 2 == 0) { - final_pos += normalSize * rad * (flip * nor - tan); - } + if (gl_VertexID % 2 == 0) { + final_pos += normalSize * rad * (flip * nor - tan); + } - vec4 final_pos_4d = vec4(final_pos, 1.0); - gl_Position = ModelViewProjectionMatrix * final_pos_4d; + vec4 final_pos_4d = vec4(final_pos, 1.0); + gl_Position = ModelViewProjectionMatrix * final_pos_4d; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * final_pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * final_pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/edit_lattice_overlay_frag.glsl b/source/blender/draw/modes/shaders/edit_lattice_overlay_frag.glsl index 92caa4620d7..e674b802f65 100644 --- a/source/blender/draw/modes/shaders/edit_lattice_overlay_frag.glsl +++ b/source/blender/draw/modes/shaders/edit_lattice_overlay_frag.glsl @@ -5,15 +5,15 @@ out vec4 FragColor; void main() { - /* TODO: vertex size */ + /* TODO: vertex size */ - if ((vertFlag & VERT_SELECTED) != 0) { - FragColor = colorVertexSelect; - } - else if ((vertFlag & VERT_ACTIVE) != 0) { - FragColor = colorEditMeshActive; - } - else { - FragColor = colorVertex; - } + if ((vertFlag & VERT_SELECTED) != 0) { + FragColor = colorVertexSelect; + } + else if ((vertFlag & VERT_ACTIVE) != 0) { + FragColor = colorEditMeshActive; + } + else { + FragColor = colorVertex; + } } diff --git a/source/blender/draw/modes/shaders/edit_lattice_overlay_loosevert_vert.glsl b/source/blender/draw/modes/shaders/edit_lattice_overlay_loosevert_vert.glsl index bf0357632e6..3cf808f3c52 100644 --- a/source/blender/draw/modes/shaders/edit_lattice_overlay_loosevert_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_lattice_overlay_loosevert_vert.glsl @@ -20,26 +20,25 @@ flat out vec4 eData2; /* project to screen space */ vec2 proj(vec4 pos) { - return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; + return (0.5 * (pos.xy / pos.w) + 0.5) * viewportSize; } void main() { - clipCase = 0; + clipCase = 0; - vec4 pPos = ModelViewProjectionMatrix * vec4(pos, 1.0); + vec4 pPos = ModelViewProjectionMatrix * vec4(pos, 1.0); - /* only vertex position 0 is used */ - eData1 = eData2 = vec4(1e10); - eData2.zw = proj(pPos); + /* only vertex position 0 is used */ + eData1 = eData2 = vec4(1e10); + eData2.zw = proj(pPos); - vertFlag = data; + vertFlag = data; - gl_PointSize = sizeVertex; - gl_Position = pPos; + gl_PointSize = sizeVertex; + gl_Position = pPos; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif - } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_common_lib.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_common_lib.glsl index 6563945af39..ffabfd3fcee 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_common_lib.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_common_lib.glsl @@ -3,68 +3,69 @@ uniform bool doEdges = true; vec4 EDIT_MESH_edge_color_outer(int edge_flag, int face_flag, float crease, float bweight) { - vec4 color = vec4(0.0); - color = ((edge_flag & EDGE_FREESTYLE) != 0) ? colorEdgeFreestyle : color; - color = ((edge_flag & EDGE_SHARP) != 0) ? colorEdgeSharp : color; - color = (crease > 0.0) ? vec4(colorEdgeCrease.rgb, crease) : color; - color = (bweight > 0.0) ? vec4(colorEdgeBWeight.rgb, bweight) : color; - color = ((edge_flag & EDGE_SEAM) != 0) ? colorEdgeSeam : color; - return color; + vec4 color = vec4(0.0); + color = ((edge_flag & EDGE_FREESTYLE) != 0) ? colorEdgeFreestyle : color; + color = ((edge_flag & EDGE_SHARP) != 0) ? colorEdgeSharp : color; + color = (crease > 0.0) ? vec4(colorEdgeCrease.rgb, crease) : color; + color = (bweight > 0.0) ? vec4(colorEdgeBWeight.rgb, bweight) : color; + color = ((edge_flag & EDGE_SEAM) != 0) ? colorEdgeSeam : color; + return color; } vec4 EDIT_MESH_edge_color_inner(int edge_flag) { - vec4 color = colorWireEdit; - color = ((edge_flag & EDGE_SELECTED) != 0) ? colorEdgeSelect : color; - color = ((edge_flag & EDGE_ACTIVE) != 0) ? colorEditMeshActive : color; - return color; + vec4 color = colorWireEdit; + color = ((edge_flag & EDGE_SELECTED) != 0) ? colorEdgeSelect : color; + color = ((edge_flag & EDGE_ACTIVE) != 0) ? colorEditMeshActive : color; + return color; } vec4 EDIT_MESH_edge_vertex_color(int vertex_flag) { - vec4 color = colorWireEdit; - color = (doEdges && (vertex_flag & (VERT_ACTIVE | VERT_SELECTED)) != 0) ? colorEdgeSelect : color; - return color; + vec4 color = colorWireEdit; + color = (doEdges && (vertex_flag & (VERT_ACTIVE | VERT_SELECTED)) != 0) ? colorEdgeSelect : + color; + return color; } vec4 EDIT_MESH_vertex_color(int vertex_flag) { - if ((vertex_flag & VERT_ACTIVE) != 0) { - return vec4(colorEditMeshActive.xyz, 1.0); - } - else if ((vertex_flag & VERT_SELECTED) != 0) { - return colorVertexSelect; - } - else { - return colorVertex; - } + if ((vertex_flag & VERT_ACTIVE) != 0) { + return vec4(colorEditMeshActive.xyz, 1.0); + } + else if ((vertex_flag & VERT_SELECTED) != 0) { + return colorVertexSelect; + } + else { + return colorVertex; + } } vec4 EDIT_MESH_face_color(int face_flag) { - if ((face_flag & FACE_ACTIVE) != 0) { - return mix(colorFaceSelect, colorEditMeshActive, 0.5); - } - else if ((face_flag & FACE_SELECTED) != 0) { - return colorFaceSelect; - } - else if ((face_flag & FACE_FREESTYLE) != 0) { - return colorFaceFreestyle; - } - else { - return colorFace; - } + if ((face_flag & FACE_ACTIVE) != 0) { + return mix(colorFaceSelect, colorEditMeshActive, 0.5); + } + else if ((face_flag & FACE_SELECTED) != 0) { + return colorFaceSelect; + } + else if ((face_flag & FACE_FREESTYLE) != 0) { + return colorFaceFreestyle; + } + else { + return colorFace; + } } vec4 EDIT_MESH_facedot_color(float facedot_flag) { - if (facedot_flag < 0.0f) { - return colorEditMeshActive; - } - else if (facedot_flag > 0.0f) { - return colorFaceDot; - } - else { - return colorVertex; - } + if (facedot_flag < 0.0f) { + return colorEditMeshActive; + } + else if (facedot_flag > 0.0f) { + return colorFaceDot; + } + else { + return colorVertex; + } } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_frag.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_frag.glsl index 2e729009a38..a8371958ec2 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_frag.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_frag.glsl @@ -3,5 +3,5 @@ out vec4 FragColor; void main() { - FragColor = faceColor; + FragColor = faceColor; } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_vert.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_vert.glsl index 1c2338f0913..c84d97fa1c5 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_facefill_vert.glsl @@ -10,13 +10,13 @@ flat out vec4 faceColor; void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - ivec4 data_m = data & dataMask; + ivec4 data_m = data & dataMask; - faceColor = EDIT_MESH_face_color(data_m.x); + faceColor = EDIT_MESH_face_color(data_m.x); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_frag.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_frag.glsl index 59fb8e7fc90..3418732afc2 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_frag.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_frag.glsl @@ -1,5 +1,5 @@ -#define M_1_SQRTPI 0.5641895835477563 /* 1/sqrt(pi) */ +#define M_1_SQRTPI 0.5641895835477563 /* 1/sqrt(pi) */ /** * We want to know how much a pixel is covered by a line. @@ -22,15 +22,15 @@ out vec4 FragColor; void main() { - float dist = abs(edgeCoord_f) - max(sizeEdge * edgeScale - 0.5, 0.0); - float dist_outer = dist - max(sizeEdge * edgeScale, 1.0); + float dist = abs(edgeCoord_f) - max(sizeEdge * edgeScale - 0.5, 0.0); + float dist_outer = dist - max(sizeEdge * edgeScale, 1.0); #ifdef USE_SMOOTH_WIRE - float mix_w = smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, dist); - float mix_w_outer = smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, dist_outer); + float mix_w = smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, dist); + float mix_w_outer = smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, dist_outer); #else - float mix_w = step(0.5, dist); - float mix_w_outer = step(0.5, dist_outer); + float mix_w = step(0.5, dist); + float mix_w_outer = step(0.5, dist_outer); #endif - FragColor = mix(finalColorOuter_f, finalColor_f, 1.0 - mix_w * finalColorOuter_f.a); - FragColor.a *= 1.0 - (finalColorOuter_f.a > 0.0 ? mix_w_outer : mix_w); + FragColor = mix(finalColorOuter_f, finalColor_f, 1.0 - mix_w * finalColorOuter_f.a); + FragColor.a *= 1.0 - (finalColorOuter_f.a > 0.0 ? mix_w_outer : mix_w); } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_geom.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_geom.glsl index d5d9f213b94..6e59de12260 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_geom.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_geom.glsl @@ -16,65 +16,65 @@ noperspective out float edgeCoord_f; void do_vertex(const int i, vec4 pos, float coord, vec2 offset) { - finalColor_f = (selectOveride[0] == 0) ? finalColor[i] : finalColor[0]; - edgeCoord_f = coord; - gl_Position = pos; - /* Multiply offset by 2 because gl_Position range is [-1..1]. */ - gl_Position.xy += offset * 2.0 * pos.w; + finalColor_f = (selectOveride[0] == 0) ? finalColor[i] : finalColor[0]; + edgeCoord_f = coord; + gl_Position = pos; + /* Multiply offset by 2 because gl_Position range is [-1..1]. */ + gl_Position.xy += offset * 2.0 * pos.w; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[i].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[i].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); } void main() { - vec2 ss_pos[2]; - - /* Clip line against near plane to avoid deformed lines. */ - vec4 pos0 = gl_in[0].gl_Position; - vec4 pos1 = gl_in[1].gl_Position; - vec2 pz_ndc = vec2(pos0.z / pos0.w, pos1.z / pos1.w); - bvec2 clipped = lessThan(pz_ndc, vec2(-1.0)); - if (all(clipped)) { - /* Totally clipped. */ - return; - } - - vec4 pos01 = pos0 - pos1; - float ofs = abs((pz_ndc.y + 1.0) / (pz_ndc.x - pz_ndc.y)); - if (clipped.y) { - pos1 += pos01 * ofs; - } - else if (clipped.x) { - pos0 -= pos01 * (1.0 - ofs); - } - - ss_pos[0] = pos0.xy / pos0.w; - ss_pos[1] = pos1.xy / pos1.w; - - vec2 line = ss_pos[0] - ss_pos[1]; - line = abs(line) * viewportSize; - - finalColorOuter_f = finalColorOuter[0]; - float half_size = sizeEdge * edgeScale; - /* Enlarge edge for flag display. */ - half_size += (finalColorOuter_f.a > 0.0) ? max(sizeEdge * edgeScale, 1.0) : 0.0; + vec2 ss_pos[2]; + + /* Clip line against near plane to avoid deformed lines. */ + vec4 pos0 = gl_in[0].gl_Position; + vec4 pos1 = gl_in[1].gl_Position; + vec2 pz_ndc = vec2(pos0.z / pos0.w, pos1.z / pos1.w); + bvec2 clipped = lessThan(pz_ndc, vec2(-1.0)); + if (all(clipped)) { + /* Totally clipped. */ + return; + } + + vec4 pos01 = pos0 - pos1; + float ofs = abs((pz_ndc.y + 1.0) / (pz_ndc.x - pz_ndc.y)); + if (clipped.y) { + pos1 += pos01 * ofs; + } + else if (clipped.x) { + pos0 -= pos01 * (1.0 - ofs); + } + + ss_pos[0] = pos0.xy / pos0.w; + ss_pos[1] = pos1.xy / pos1.w; + + vec2 line = ss_pos[0] - ss_pos[1]; + line = abs(line) * viewportSize; + + finalColorOuter_f = finalColorOuter[0]; + float half_size = sizeEdge * edgeScale; + /* Enlarge edge for flag display. */ + half_size += (finalColorOuter_f.a > 0.0) ? max(sizeEdge * edgeScale, 1.0) : 0.0; #ifdef USE_SMOOTH_WIRE - /* Add 1 px for AA */ - half_size += 0.5; + /* Add 1 px for AA */ + half_size += 0.5; #endif - vec3 edge_ofs = half_size * viewportSizeInv.xyy * vec3(1.0, 1.0, 0.0); + vec3 edge_ofs = half_size * viewportSizeInv.xyy * vec3(1.0, 1.0, 0.0); - bool horizontal = line.x > line.y; - edge_ofs = (horizontal) ? edge_ofs.zyz : edge_ofs.xzz; + bool horizontal = line.x > line.y; + edge_ofs = (horizontal) ? edge_ofs.zyz : edge_ofs.xzz; - do_vertex(0, pos0, half_size, edge_ofs.xy); - do_vertex(0, pos0, -half_size, -edge_ofs.xy); - do_vertex(1, pos1, half_size, edge_ofs.xy); - do_vertex(1, pos1, -half_size, -edge_ofs.xy); + do_vertex(0, pos0, half_size, edge_ofs.xy); + do_vertex(0, pos0, -half_size, -edge_ofs.xy); + do_vertex(1, pos1, half_size, edge_ofs.xy); + do_vertex(1, pos1, -half_size, -edge_ofs.xy); - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_ghost_clear_vert.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_ghost_clear_vert.glsl index 3fd4d263aa2..9a53038a252 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_ghost_clear_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_ghost_clear_vert.glsl @@ -3,5 +3,5 @@ in vec2 pos; void main() { - gl_Position = vec4(pos, 1.0, 1.0); + gl_Position = vec4(pos, 1.0, 1.0); } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_mix_frag.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_mix_frag.glsl index 8f94a105332..a3fcfd880d3 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_mix_frag.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_mix_frag.glsl @@ -8,15 +8,15 @@ uniform float alpha; void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); - float wire_depth = texelFetch(wireDepth, uv, 0).r; - float scene_depth = texelFetch(sceneDepth, uv, 0).r; - vec4 wire_color = texelFetch(wireColor, uv, 0).rgba; + ivec2 uv = ivec2(gl_FragCoord.xy); + float wire_depth = texelFetch(wireDepth, uv, 0).r; + float scene_depth = texelFetch(sceneDepth, uv, 0).r; + vec4 wire_color = texelFetch(wireColor, uv, 0).rgba; - FragColor = wire_color; + FragColor = wire_color; - /* Modulate alpha if occluded */ - if (wire_depth > scene_depth) { - FragColor.a *= alpha; - } + /* Modulate alpha if occluded */ + if (wire_depth > scene_depth) { + FragColor.a *= alpha; + } } diff --git a/source/blender/draw/modes/shaders/edit_mesh_overlay_vert.glsl b/source/blender/draw/modes/shaders/edit_mesh_overlay_vert.glsl index c43ae6073c6..8c54470cd5a 100644 --- a/source/blender/draw/modes/shaders/edit_mesh_overlay_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_mesh_overlay_vert.glsl @@ -26,75 +26,73 @@ out int selectOveride; void main() { #if !defined(FACE) - mat4 projmat = ProjectionMatrix; - projmat[3][2] -= ofs; + mat4 projmat = ProjectionMatrix; + projmat[3][2] -= ofs; - gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); + gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); #else - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); #endif - ivec4 m_data = data & dataMask; + ivec4 m_data = data & dataMask; #if defined(VERT) - finalColor = EDIT_MESH_vertex_color(m_data.y); - gl_PointSize = sizeVertex * 2.0; - gl_Position.z -= 3e-5 * ((ProjectionMatrix[3][3] == 0.0) ? 1.0 : 0.0); - /* Make selected and active vertex always on top. */ - if ((data.x & VERT_SELECTED) != 0) { - gl_Position.z -= 1e-7; - } - if ((data.x & VERT_ACTIVE) != 0) { - gl_Position.z -= 1e-7; - } + finalColor = EDIT_MESH_vertex_color(m_data.y); + gl_PointSize = sizeVertex * 2.0; + gl_Position.z -= 3e-5 * ((ProjectionMatrix[3][3] == 0.0) ? 1.0 : 0.0); + /* Make selected and active vertex always on top. */ + if ((data.x & VERT_SELECTED) != 0) { + gl_Position.z -= 1e-7; + } + if ((data.x & VERT_ACTIVE) != 0) { + gl_Position.z -= 1e-7; + } #elif defined(EDGE) # ifdef FLAT - finalColor = EDIT_MESH_edge_color_inner(m_data.y); - selectOveride = 1; + finalColor = EDIT_MESH_edge_color_inner(m_data.y); + selectOveride = 1; # else - finalColor = EDIT_MESH_edge_vertex_color(m_data.y); - selectOveride = (m_data.y & EDGE_SELECTED); + finalColor = EDIT_MESH_edge_vertex_color(m_data.y); + selectOveride = (m_data.y & EDGE_SELECTED); # endif - float crease = float(m_data.z) / 255.0; - float bweight = float(m_data.w) / 255.0; - finalColorOuter = EDIT_MESH_edge_color_outer(m_data.y, m_data.x, crease, bweight); + float crease = float(m_data.z) / 255.0; + float bweight = float(m_data.w) / 255.0; + finalColorOuter = EDIT_MESH_edge_color_outer(m_data.y, m_data.x, crease, bweight); #elif defined(FACE) - finalColor = EDIT_MESH_face_color(m_data.x); - finalColor.a *= faceAlphaMod; + finalColor = EDIT_MESH_face_color(m_data.x); + finalColor.a *= faceAlphaMod; #elif defined(FACEDOT) - finalColor = EDIT_MESH_facedot_color(norAndFlag.w); - /* Bias Facedot Z position in clipspace. */ - gl_Position.z -= 0.00035; - gl_PointSize = sizeFaceDot; + finalColor = EDIT_MESH_facedot_color(norAndFlag.w); + /* Bias Facedot Z position in clipspace. */ + gl_Position.z -= 0.00035; + gl_PointSize = sizeFaceDot; #endif #if !defined(FACE) && !defined(EDGE_DECORATION) - /* Facing based color blend */ - vec4 vpos = ModelViewMatrix * vec4(pos, 1.0); - vec3 view_normal = normalize(NormalMatrix * vnor + 1e-4); - vec3 view_vec = (ProjectionMatrix[3][3] == 0.0) ? - normalize(vpos.xyz) : - vec3(0.0, 0.0, 1.0); - float facing = dot(view_vec, view_normal); - facing = 1.0 - abs(facing) * 0.3; - - finalColor = mix(colorEditMeshMiddle, finalColor, facing); - finalColor.a = 1.0; + /* Facing based color blend */ + vec4 vpos = ModelViewMatrix * vec4(pos, 1.0); + vec3 view_normal = normalize(NormalMatrix * vnor + 1e-4); + vec3 view_vec = (ProjectionMatrix[3][3] == 0.0) ? normalize(vpos.xyz) : vec3(0.0, 0.0, 1.0); + float facing = dot(view_vec, view_normal); + facing = 1.0 - abs(facing) * 0.3; + + finalColor = mix(colorEditMeshMiddle, finalColor, facing); + finalColor.a = 1.0; # if defined(EDGE) && !defined(FLAT) - /* Hack to blend color in pixel shader in case of overide. */ - finalColor.a = facing; + /* Hack to blend color in pixel shader in case of overide. */ + finalColor.a = facing; # endif #endif #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/edit_normals_geom.glsl b/source/blender/draw/modes/shaders/edit_normals_geom.glsl index 91a57a79eb0..5f43c13478d 100644 --- a/source/blender/draw/modes/shaders/edit_normals_geom.glsl +++ b/source/blender/draw/modes/shaders/edit_normals_geom.glsl @@ -1,18 +1,18 @@ layout(points) in; -layout(line_strip, max_vertices=2) out; +layout(line_strip, max_vertices = 2) out; flat in vec4 v1[1]; flat in vec4 v2[1]; void main() { - for (int v = 0; v < 2; v++) { - gl_Position = (v == 0) ? v1[0] : v2[0]; + for (int v = 0; v < 2; v++) { + gl_Position = (v == 0) ? v1[0] : v2[0]; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[0].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[0].gl_ClipDistance); #endif - EmitVertex(); - } - EndPrimitive(); + EmitVertex(); + } + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/edit_normals_vert.glsl b/source/blender/draw/modes/shaders/edit_normals_vert.glsl index 8d73a2f5ad2..2e34a132cb0 100644 --- a/source/blender/draw/modes/shaders/edit_normals_vert.glsl +++ b/source/blender/draw/modes/shaders/edit_normals_vert.glsl @@ -9,15 +9,15 @@ in vec3 pos; #ifdef LOOP_NORMALS in vec3 lnor; -#define nor lnor +# define nor lnor #elif defined(FACE_NORMALS) in vec4 norAndFlag; -#define nor norAndFlag.xyz +# define nor norAndFlag.xyz #else in vec3 vnor; -#define nor vnor +# define nor vnor #endif flat out vec4 v1; @@ -25,10 +25,10 @@ flat out vec4 v2; void main() { - v1 = ModelViewProjectionMatrix * vec4(pos, 1.0); - vec3 n = normalize(NormalMatrix * nor); /* viewspace */ - v2 = v1 + ProjectionMatrix * vec4(n * normalSize, 0.0); + v1 = ModelViewProjectionMatrix * vec4(pos, 1.0); + vec3 n = normalize(NormalMatrix * nor); /* viewspace */ + v2 = v1 + ProjectionMatrix * vec4(n * normalSize, 0.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/object_empty_axes_vert.glsl b/source/blender/draw/modes/shaders/object_empty_axes_vert.glsl index 8de25de35ad..7fd955343fc 100644 --- a/source/blender/draw/modes/shaders/object_empty_axes_vert.glsl +++ b/source/blender/draw/modes/shaders/object_empty_axes_vert.glsl @@ -19,20 +19,20 @@ flat out vec4 finalColor; void main() { - float draw_size = 4.0 * size; - vec3 chosen_axis = InstanceModelMatrix[int(axis)].xyz; - vec3 loc = InstanceModelMatrix[3].xyz; - vec3 wpos = loc + chosen_axis * fract(axis) * draw_size; - vec3 spos = screenVecs[0].xyz * screenPos.x + screenVecs[1].xyz * screenPos.y; - /* Scale uniformly by axis length */ - spos *= length(chosen_axis) * draw_size; + float draw_size = 4.0 * size; + vec3 chosen_axis = InstanceModelMatrix[int(axis)].xyz; + vec3 loc = InstanceModelMatrix[3].xyz; + vec3 wpos = loc + chosen_axis * fract(axis) * draw_size; + vec3 spos = screenVecs[0].xyz * screenPos.x + screenVecs[1].xyz * screenPos.y; + /* Scale uniformly by axis length */ + spos *= length(chosen_axis) * draw_size; - vec4 pos_4d = vec4(wpos + spos, 1.0); - gl_Position = ViewProjectionMatrix * pos_4d; + vec4 pos_4d = vec4(wpos + spos, 1.0); + gl_Position = ViewProjectionMatrix * pos_4d; - finalColor = vec4(color, 1.0); + finalColor = vec4(color, 1.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/object_empty_image_frag.glsl b/source/blender/draw/modes/shaders/object_empty_image_frag.glsl index c20d70e3b06..386d05636f9 100644 --- a/source/blender/draw/modes/shaders/object_empty_image_frag.glsl +++ b/source/blender/draw/modes/shaders/object_empty_image_frag.glsl @@ -17,30 +17,30 @@ uniform bool useAlphaTest; void main() { #ifdef USE_WIRE - fragColor = finalColor; + fragColor = finalColor; #else - vec4 tex_col = texture(image, texCoord_interp); - fragColor = finalColor * tex_col; - - if (useAlphaTest) { - /* Arbitrary discard anything below 5% opacity. - * Note that this could be exposed to the User. */ - if (tex_col.a < 0.05) { - discard; - } - else { - fragColor.a = 1.0; - } - } + vec4 tex_col = texture(image, texCoord_interp); + fragColor = finalColor * tex_col; + + if (useAlphaTest) { + /* Arbitrary discard anything below 5% opacity. + * Note that this could be exposed to the User. */ + if (tex_col.a < 0.05) { + discard; + } + else { + fragColor.a = 1.0; + } + } #endif - if (depthMode == DEPTH_BACK) { - gl_FragDepth = 0.999999; - } - else if (depthMode == DEPTH_FRONT) { - gl_FragDepth = 0.000001; - } - else if (depthMode == DEPTH_UNCHANGED) { - gl_FragDepth = gl_FragCoord.z; - } + if (depthMode == DEPTH_BACK) { + gl_FragDepth = 0.999999; + } + else if (depthMode == DEPTH_FRONT) { + gl_FragDepth = 0.000001; + } + else if (depthMode == DEPTH_UNCHANGED) { + gl_FragDepth = gl_FragCoord.z; + } } diff --git a/source/blender/draw/modes/shaders/object_empty_image_vert.glsl b/source/blender/draw/modes/shaders/object_empty_image_vert.glsl index e5ea42c0661..9694c63fef1 100644 --- a/source/blender/draw/modes/shaders/object_empty_image_vert.glsl +++ b/source/blender/draw/modes/shaders/object_empty_image_vert.glsl @@ -21,17 +21,17 @@ out vec2 texCoord_interp; void main() { - vec4 pos_4d = vec4((pos + offset) * (size * vec2(aspectX, aspectY)), 0.0, 1.0); - gl_Position = ModelViewProjectionMatrix * pos_4d; + vec4 pos_4d = vec4((pos + offset) * (size * vec2(aspectX, aspectY)), 0.0, 1.0); + gl_Position = ModelViewProjectionMatrix * pos_4d; #ifdef USE_WIRE - gl_Position.z -= 1e-5; - finalColor = vec4(color, 1.0); + gl_Position.z -= 1e-5; + finalColor = vec4(color, 1.0); #else - texCoord_interp = texCoord; - finalColor = objectColor; + texCoord_interp = texCoord; + finalColor = objectColor; #endif #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * pos_4d).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/object_grid_frag.glsl b/source/blender/draw/modes/shaders/object_grid_frag.glsl index 7d89676fd47..841b4a95b21 100644 --- a/source/blender/draw/modes/shaders/object_grid_frag.glsl +++ b/source/blender/draw/modes/shaders/object_grid_frag.glsl @@ -18,23 +18,23 @@ uniform float lineKernel = 0.0; uniform float gridOneOverLogSubdiv; uniform sampler2D depthBuffer; -#define gridDistance gridSettings.x -#define gridResolution gridSettings.y -#define gridScale gridSettings.z -#define gridSubdiv gridSettings.w +#define gridDistance gridSettings.x +#define gridResolution gridSettings.y +#define gridScale gridSettings.z +#define gridSubdiv gridSettings.w uniform int gridFlag; -#define AXIS_X (1 << 0) -#define AXIS_Y (1 << 1) -#define AXIS_Z (1 << 2) -#define GRID (1 << 3) -#define PLANE_XY (1 << 4) -#define PLANE_XZ (1 << 5) -#define PLANE_YZ (1 << 6) +#define AXIS_X (1 << 0) +#define AXIS_Y (1 << 1) +#define AXIS_Z (1 << 2) +#define GRID (1 << 3) +#define PLANE_XY (1 << 4) +#define PLANE_XZ (1 << 5) +#define PLANE_YZ (1 << 6) #define GRID_BACK (1 << 9) /* grid is behind objects */ -#define M_1_SQRTPI 0.5641895835477563 /* 1/sqrt(pi) */ +#define M_1_SQRTPI 0.5641895835477563 /* 1/sqrt(pi) */ /** * We want to know how much a pixel is covered by a line. @@ -49,159 +49,161 @@ uniform int gridFlag; float get_grid(vec2 co, vec2 fwidthCos, float grid_size) { - float half_size = grid_size / 2.0; - /* triangular wave pattern, amplitude is [0, half_size] */ - vec2 grid_domain = abs(mod(co + half_size, grid_size) - half_size); - /* modulate by the absolute rate of change of the coordinates - * (make lines have the same width under perspective) */ - grid_domain /= fwidthCos; + float half_size = grid_size / 2.0; + /* triangular wave pattern, amplitude is [0, half_size] */ + vec2 grid_domain = abs(mod(co + half_size, grid_size) - half_size); + /* modulate by the absolute rate of change of the coordinates + * (make lines have the same width under perspective) */ + grid_domain /= fwidthCos; - /* collapse waves */ - float line_dist = min(grid_domain.x, grid_domain.y); + /* collapse waves */ + float line_dist = min(grid_domain.x, grid_domain.y); - return 1.0 - smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, line_dist - lineKernel); + return 1.0 - smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, line_dist - lineKernel); } vec3 get_axes(vec3 co, vec3 fwidthCos, float line_size) { - vec3 axes_domain = abs(co); - /* modulate by the absolute rate of change of the coordinates - * (make line have the same width under perspective) */ - axes_domain /= fwidthCos; - - return 1.0 - smoothstep(GRID_LINE_SMOOTH_START, GRID_LINE_SMOOTH_END, axes_domain - (line_size + lineKernel)); + vec3 axes_domain = abs(co); + /* modulate by the absolute rate of change of the coordinates + * (make line have the same width under perspective) */ + axes_domain /= fwidthCos; + + return 1.0 - smoothstep(GRID_LINE_SMOOTH_START, + GRID_LINE_SMOOTH_END, + axes_domain - (line_size + lineKernel)); } void main() { - vec3 wPos = local_pos * meshSize; - vec3 fwidthPos = fwidth(wPos); - wPos += cameraPos * planeAxes; - - float dist, fade; - /* if persp */ - if (ProjectionMatrix[3][3] == 0.0) { - vec3 viewvec = cameraPos - wPos; - dist = length(viewvec); - viewvec /= dist; - - float angle; - if ((gridFlag & PLANE_XZ) != 0) { - angle = viewvec.y; - } - else if ((gridFlag & PLANE_YZ) != 0) { - angle = viewvec.x; - } - else { - angle = viewvec.z; - } - - angle = 1.0 - abs(angle); - angle *= angle; - fade = 1.0 - angle * angle; - fade *= 1.0 - smoothstep(0.0, gridDistance, dist - gridDistance); - } - else { - dist = abs(gl_FragCoord.z * 2.0 - 1.0); - fade = 1.0 - smoothstep(0.0, 0.5, dist - 0.5); - dist = 1.0; /* avoid branch after */ - - if ((gridFlag & PLANE_XY) != 0) { - float angle = 1.0 - abs(eye.z); - dist = 1.0 + angle * 2.0; - angle *= angle; - fade *= 1.0 - angle * angle; - } - } - - if ((gridFlag & GRID) != 0) { - float grid_res = log(dist * gridResolution) * gridOneOverLogSubdiv; - - float blend = fract(-max(grid_res, 0.0)); - float lvl = floor(grid_res); - - /* from biggest to smallest */ - float scaleA = gridScale * pow(gridSubdiv, max(lvl - 1.0, 0.0)); - float scaleB = gridScale * pow(gridSubdiv, max(lvl + 0.0, 0.0)); - float scaleC = gridScale * pow(gridSubdiv, max(lvl + 1.0, 1.0)); - - vec2 grid_pos, grid_fwidth; - if ((gridFlag & PLANE_XZ) != 0) { - grid_pos = wPos.xz; - grid_fwidth = fwidthPos.xz; - } - else if ((gridFlag & PLANE_YZ) != 0) { - grid_pos = wPos.yz; - grid_fwidth = fwidthPos.yz; - } - else { - grid_pos = wPos.xy; - grid_fwidth = fwidthPos.xy; - } - - float gridA = get_grid(grid_pos, grid_fwidth, scaleA); - float gridB = get_grid(grid_pos, grid_fwidth, scaleB); - float gridC = get_grid(grid_pos, grid_fwidth, scaleC); - - FragColor = colorGrid; - FragColor.a *= gridA * blend; - FragColor = mix(FragColor, mix(colorGrid, colorGridEmphasise, blend), gridB); - FragColor = mix(FragColor, colorGridEmphasise, gridC); - } - else { - FragColor = vec4(colorGrid.rgb, 0.0); - } - - if ((gridFlag & (AXIS_X | AXIS_Y | AXIS_Z)) != 0) { - /* Setup axes 'domains' */ - vec3 axes_dist, axes_fwidth; - - if ((gridFlag & AXIS_X) != 0) { - axes_dist.x = dot(wPos.yz, planeAxes.yz); - axes_fwidth.x = dot(fwidthPos.yz, planeAxes.yz); - } - if ((gridFlag & AXIS_Y) != 0) { - axes_dist.y = dot(wPos.xz, planeAxes.xz); - axes_fwidth.y = dot(fwidthPos.xz, planeAxes.xz); - } - if ((gridFlag & AXIS_Z) != 0) { - axes_dist.z = dot(wPos.xy, planeAxes.xy); - axes_fwidth.z = dot(fwidthPos.xy, planeAxes.xy); - } - - /* Computing all axes at once using vec3 */ - vec3 axes = get_axes(axes_dist, axes_fwidth, 0.1); - - if ((gridFlag & AXIS_X) != 0) { - FragColor.a = max(FragColor.a, axes.x); - FragColor.rgb = (axes.x < 1e-8) ? FragColor.rgb : colorGridAxisX.rgb; - } - if ((gridFlag & AXIS_Y) != 0) { - FragColor.a = max(FragColor.a, axes.y); - FragColor.rgb = (axes.y < 1e-8) ? FragColor.rgb : colorGridAxisY.rgb; - } - if ((gridFlag & AXIS_Z) != 0) { - FragColor.a = max(FragColor.a, axes.z); - FragColor.rgb = (axes.z < 1e-8) ? FragColor.rgb : colorGridAxisZ.rgb; - } - } - - /* Add a small bias so the grid will always - * be on top of a mesh with the same depth. */ - float grid_depth = gl_FragCoord.z - 6e-8 - fwidth(gl_FragCoord.z); - float scene_depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; - if ((gridFlag & GRID_BACK) != 0) { - fade *= (scene_depth == 1.0) ? 1.0 : 0.0; - } - else { - /* Manual, non hard, depth test: - * Progressively fade the grid below occluders - * (avoids popping visuals due to depth buffer precision) */ - /* Harder settings tend to flicker more, - * but have less "see through" appearance. */ - const float test_hardness = 1e7; - fade *= 1.0 - clamp((grid_depth - scene_depth) * test_hardness, 0.0, 1.0); - } - - FragColor.a *= fade; + vec3 wPos = local_pos * meshSize; + vec3 fwidthPos = fwidth(wPos); + wPos += cameraPos * planeAxes; + + float dist, fade; + /* if persp */ + if (ProjectionMatrix[3][3] == 0.0) { + vec3 viewvec = cameraPos - wPos; + dist = length(viewvec); + viewvec /= dist; + + float angle; + if ((gridFlag & PLANE_XZ) != 0) { + angle = viewvec.y; + } + else if ((gridFlag & PLANE_YZ) != 0) { + angle = viewvec.x; + } + else { + angle = viewvec.z; + } + + angle = 1.0 - abs(angle); + angle *= angle; + fade = 1.0 - angle * angle; + fade *= 1.0 - smoothstep(0.0, gridDistance, dist - gridDistance); + } + else { + dist = abs(gl_FragCoord.z * 2.0 - 1.0); + fade = 1.0 - smoothstep(0.0, 0.5, dist - 0.5); + dist = 1.0; /* avoid branch after */ + + if ((gridFlag & PLANE_XY) != 0) { + float angle = 1.0 - abs(eye.z); + dist = 1.0 + angle * 2.0; + angle *= angle; + fade *= 1.0 - angle * angle; + } + } + + if ((gridFlag & GRID) != 0) { + float grid_res = log(dist * gridResolution) * gridOneOverLogSubdiv; + + float blend = fract(-max(grid_res, 0.0)); + float lvl = floor(grid_res); + + /* from biggest to smallest */ + float scaleA = gridScale * pow(gridSubdiv, max(lvl - 1.0, 0.0)); + float scaleB = gridScale * pow(gridSubdiv, max(lvl + 0.0, 0.0)); + float scaleC = gridScale * pow(gridSubdiv, max(lvl + 1.0, 1.0)); + + vec2 grid_pos, grid_fwidth; + if ((gridFlag & PLANE_XZ) != 0) { + grid_pos = wPos.xz; + grid_fwidth = fwidthPos.xz; + } + else if ((gridFlag & PLANE_YZ) != 0) { + grid_pos = wPos.yz; + grid_fwidth = fwidthPos.yz; + } + else { + grid_pos = wPos.xy; + grid_fwidth = fwidthPos.xy; + } + + float gridA = get_grid(grid_pos, grid_fwidth, scaleA); + float gridB = get_grid(grid_pos, grid_fwidth, scaleB); + float gridC = get_grid(grid_pos, grid_fwidth, scaleC); + + FragColor = colorGrid; + FragColor.a *= gridA * blend; + FragColor = mix(FragColor, mix(colorGrid, colorGridEmphasise, blend), gridB); + FragColor = mix(FragColor, colorGridEmphasise, gridC); + } + else { + FragColor = vec4(colorGrid.rgb, 0.0); + } + + if ((gridFlag & (AXIS_X | AXIS_Y | AXIS_Z)) != 0) { + /* Setup axes 'domains' */ + vec3 axes_dist, axes_fwidth; + + if ((gridFlag & AXIS_X) != 0) { + axes_dist.x = dot(wPos.yz, planeAxes.yz); + axes_fwidth.x = dot(fwidthPos.yz, planeAxes.yz); + } + if ((gridFlag & AXIS_Y) != 0) { + axes_dist.y = dot(wPos.xz, planeAxes.xz); + axes_fwidth.y = dot(fwidthPos.xz, planeAxes.xz); + } + if ((gridFlag & AXIS_Z) != 0) { + axes_dist.z = dot(wPos.xy, planeAxes.xy); + axes_fwidth.z = dot(fwidthPos.xy, planeAxes.xy); + } + + /* Computing all axes at once using vec3 */ + vec3 axes = get_axes(axes_dist, axes_fwidth, 0.1); + + if ((gridFlag & AXIS_X) != 0) { + FragColor.a = max(FragColor.a, axes.x); + FragColor.rgb = (axes.x < 1e-8) ? FragColor.rgb : colorGridAxisX.rgb; + } + if ((gridFlag & AXIS_Y) != 0) { + FragColor.a = max(FragColor.a, axes.y); + FragColor.rgb = (axes.y < 1e-8) ? FragColor.rgb : colorGridAxisY.rgb; + } + if ((gridFlag & AXIS_Z) != 0) { + FragColor.a = max(FragColor.a, axes.z); + FragColor.rgb = (axes.z < 1e-8) ? FragColor.rgb : colorGridAxisZ.rgb; + } + } + + /* Add a small bias so the grid will always + * be on top of a mesh with the same depth. */ + float grid_depth = gl_FragCoord.z - 6e-8 - fwidth(gl_FragCoord.z); + float scene_depth = texelFetch(depthBuffer, ivec2(gl_FragCoord.xy), 0).r; + if ((gridFlag & GRID_BACK) != 0) { + fade *= (scene_depth == 1.0) ? 1.0 : 0.0; + } + else { + /* Manual, non hard, depth test: + * Progressively fade the grid below occluders + * (avoids popping visuals due to depth buffer precision) */ + /* Harder settings tend to flicker more, + * but have less "see through" appearance. */ + const float test_hardness = 1e7; + fade *= 1.0 - clamp((grid_depth - scene_depth) * test_hardness, 0.0, 1.0); + } + + FragColor.a *= fade; } diff --git a/source/blender/draw/modes/shaders/object_grid_vert.glsl b/source/blender/draw/modes/shaders/object_grid_vert.glsl index 1cf6c49b733..e8f4b089b47 100644 --- a/source/blender/draw/modes/shaders/object_grid_vert.glsl +++ b/source/blender/draw/modes/shaders/object_grid_vert.glsl @@ -9,18 +9,18 @@ uniform vec3 planeAxes; uniform vec4 gridSettings; uniform float meshSize; -#define gridDistance gridSettings.x -#define gridResolution gridSettings.y -#define gridScale gridSettings.z -#define gridSubdiv gridSettings.w +#define gridDistance gridSettings.x +#define gridResolution gridSettings.y +#define gridScale gridSettings.z +#define gridSubdiv gridSettings.w uniform int gridFlag; -#define PLANE_XY (1 << 4) -#define PLANE_XZ (1 << 5) -#define PLANE_YZ (1 << 6) -#define CLIP_Z_POS (1 << 7) -#define CLIP_Z_NEG (1 << 8) +#define PLANE_XY (1 << 4) +#define PLANE_XZ (1 << 5) +#define PLANE_YZ (1 << 6) +#define CLIP_Z_POS (1 << 7) +#define CLIP_Z_NEG (1 << 8) in vec3 pos; @@ -28,32 +28,32 @@ out vec3 local_pos; void main() { - vec3 vert_pos; - - /* Project camera pos to the needed plane */ - if ((gridFlag & PLANE_XY) != 0) { - vert_pos = vec3(pos.x, pos.y, 0.0); - } - else if ((gridFlag & PLANE_XZ) != 0) { - vert_pos = vec3(pos.x, 0.0, pos.y); - } - else { - vert_pos = vec3(0.0, pos.x, pos.y); - } - - local_pos = vert_pos; - - vec3 real_pos = cameraPos * planeAxes + vert_pos * meshSize; - - /* Used for additional Z axis */ - if ((gridFlag & CLIP_Z_POS) != 0) { - real_pos.z = clamp(real_pos.z, 0.0, 1e30); - local_pos.z = clamp(local_pos.z, 0.0, 1.0); - } - if ((gridFlag & CLIP_Z_NEG) != 0) { - real_pos.z = clamp(real_pos.z, -1e30, 0.0); - local_pos.z = clamp(local_pos.z, -1.0, 0.0); - } - - gl_Position = ViewProjectionMatrix * vec4(real_pos, 1.0); + vec3 vert_pos; + + /* Project camera pos to the needed plane */ + if ((gridFlag & PLANE_XY) != 0) { + vert_pos = vec3(pos.x, pos.y, 0.0); + } + else if ((gridFlag & PLANE_XZ) != 0) { + vert_pos = vec3(pos.x, 0.0, pos.y); + } + else { + vert_pos = vec3(0.0, pos.x, pos.y); + } + + local_pos = vert_pos; + + vec3 real_pos = cameraPos * planeAxes + vert_pos * meshSize; + + /* Used for additional Z axis */ + if ((gridFlag & CLIP_Z_POS) != 0) { + real_pos.z = clamp(real_pos.z, 0.0, 1e30); + local_pos.z = clamp(local_pos.z, 0.0, 1.0); + } + if ((gridFlag & CLIP_Z_NEG) != 0) { + real_pos.z = clamp(real_pos.z, -1e30, 0.0); + local_pos.z = clamp(local_pos.z, -1.0, 0.0); + } + + gl_Position = ViewProjectionMatrix * vec4(real_pos, 1.0); } diff --git a/source/blender/draw/modes/shaders/object_lightprobe_grid_vert.glsl b/source/blender/draw/modes/shaders/object_lightprobe_grid_vert.glsl index bcdf5adca55..61da94dd433 100644 --- a/source/blender/draw/modes/shaders/object_lightprobe_grid_vert.glsl +++ b/source/blender/draw/modes/shaders/object_lightprobe_grid_vert.glsl @@ -16,19 +16,18 @@ flat out uint finalId; void main() { - vec3 ls_cell_location; - /* Keep in sync with update_irradiance_probe */ - ls_cell_location.z = float(gl_VertexID % grid_resolution.z); - ls_cell_location.y = float((gl_VertexID / grid_resolution.z) % grid_resolution.y); - ls_cell_location.x = float(gl_VertexID / (grid_resolution.z * grid_resolution.y)); + vec3 ls_cell_location; + /* Keep in sync with update_irradiance_probe */ + ls_cell_location.z = float(gl_VertexID % grid_resolution.z); + ls_cell_location.y = float((gl_VertexID / grid_resolution.z) % grid_resolution.y); + ls_cell_location.x = float(gl_VertexID / (grid_resolution.z * grid_resolution.y)); - vec3 ws_cell_location = corner + - (increment_x * ls_cell_location.x + - increment_y * ls_cell_location.y + - increment_z * ls_cell_location.z); + vec3 ws_cell_location = corner + + (increment_x * ls_cell_location.x + increment_y * ls_cell_location.y + + increment_z * ls_cell_location.z); - gl_Position = ViewProjectionMatrix * vec4(ws_cell_location, 1.0); - gl_PointSize = 2.0f; + gl_Position = ViewProjectionMatrix * vec4(ws_cell_location, 1.0); + gl_PointSize = 2.0f; - finalId = uint(baseId + call_id); + finalId = uint(baseId + call_id); } diff --git a/source/blender/draw/modes/shaders/object_loose_points_frag.glsl b/source/blender/draw/modes/shaders/object_loose_points_frag.glsl index 66b3091a41c..5730cb2d96e 100644 --- a/source/blender/draw/modes/shaders/object_loose_points_frag.glsl +++ b/source/blender/draw/modes/shaders/object_loose_points_frag.glsl @@ -6,14 +6,14 @@ out vec4 fragColor; void main() { - vec2 centered = abs(gl_PointCoord - vec2(0.5)); - float dist = max(centered.x, centered.y); + vec2 centered = abs(gl_PointCoord - vec2(0.5)); + float dist = max(centered.x, centered.y); - float fac = dist * dist * 4.0; - fragColor = mix(innerColor, color, 0.45 + fac * 0.65); + float fac = dist * dist * 4.0; + fragColor = mix(innerColor, color, 0.45 + fac * 0.65); - /* Make the effect more like a fresnel by offsetting - * the depth and creating mini-spheres. - * Disabled as it has performance impact. */ - // gl_FragDepth = gl_FragCoord.z + 1e-6 * fac; + /* Make the effect more like a fresnel by offsetting + * the depth and creating mini-spheres. + * Disabled as it has performance impact. */ + // gl_FragDepth = gl_FragCoord.z + 1e-6 * fac; } diff --git a/source/blender/draw/modes/shaders/object_mball_handles_vert.glsl b/source/blender/draw/modes/shaders/object_mball_handles_vert.glsl index a2bd08be3c1..c395ed01bca 100644 --- a/source/blender/draw/modes/shaders/object_mball_handles_vert.glsl +++ b/source/blender/draw/modes/shaders/object_mball_handles_vert.glsl @@ -3,7 +3,6 @@ * and scales the shape according to per-instance attributes * Note that if the stiffness is zero, it assumes the scale is directly multiplied by the radius */ - uniform mat4 ViewProjectionMatrix; uniform mat4 ModelMatrix; uniform vec3 screen_vecs[2]; @@ -20,20 +19,19 @@ flat out vec4 finalColor; void main() { - mat3 Scamat = mat3(ScaleTranslationMatrix); - vec4 world_pos = vec4( - ScaleTranslationMatrix[0][3], - ScaleTranslationMatrix[1][3], - ScaleTranslationMatrix[2][3], - 1.0); + mat3 Scamat = mat3(ScaleTranslationMatrix); + vec4 world_pos = vec4(ScaleTranslationMatrix[0][3], + ScaleTranslationMatrix[1][3], + ScaleTranslationMatrix[2][3], + 1.0); - vec3 screen_pos = screen_vecs[0].xyz * pos.x + screen_vecs[1].xyz * pos.y; - world_pos.xyz += Scamat * (screen_pos * radius); + vec3 screen_pos = screen_vecs[0].xyz * pos.x + screen_vecs[1].xyz * pos.y; + world_pos.xyz += Scamat * (screen_pos * radius); - gl_Position = ViewProjectionMatrix * world_pos; - finalColor = vec4(color, 1.0); + gl_Position = ViewProjectionMatrix * world_pos; + finalColor = vec4(color, 1.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * world_pos).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * world_pos).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/object_outline_detect_frag.glsl b/source/blender/draw/modes/shaders/object_outline_detect_frag.glsl index 6545104c3c6..7668a0c2c94 100644 --- a/source/blender/draw/modes/shaders/object_outline_detect_frag.glsl +++ b/source/blender/draw/modes/shaders/object_outline_detect_frag.glsl @@ -14,78 +14,78 @@ uniform vec2 viewportSize; vec4 convert_id_to_color(int id) { - if (id == 0) { - return vec4(0.0); - } - if (id < idOffsets[1]) { - return colorActive; - } - else if (id < idOffsets[2]) { - return colorSelect; - } - else if (id < idOffsets[3]) { - return colorDupliSelect; - } - else { - return colorTransform; - } + if (id == 0) { + return vec4(0.0); + } + if (id < idOffsets[1]) { + return colorActive; + } + else if (id < idOffsets[2]) { + return colorSelect; + } + else if (id < idOffsets[3]) { + return colorDupliSelect; + } + else { + return colorTransform; + } } void main() { - ivec2 texel = ivec2(gl_FragCoord.xy); + ivec2 texel = ivec2(gl_FragCoord.xy); #ifdef GPU_ARB_texture_gather - vec2 texel_size = 1.0 / vec2(textureSize(outlineId, 0).xy); - vec2 uv = ceil(gl_FragCoord.xy) * texel_size; + vec2 texel_size = 1.0 / vec2(textureSize(outlineId, 0).xy); + vec2 uv = ceil(gl_FragCoord.xy) * texel_size; - /* Samples order is CW starting from top left. */ - uvec4 tmp1 = textureGather(outlineId, uv - texel_size); - uvec4 tmp2 = textureGather(outlineId, uv); + /* Samples order is CW starting from top left. */ + uvec4 tmp1 = textureGather(outlineId, uv - texel_size); + uvec4 tmp2 = textureGather(outlineId, uv); - uint ref_id = tmp1.y; - uvec4 id = uvec4(tmp1.xz, tmp2.xz); + uint ref_id = tmp1.y; + uvec4 id = uvec4(tmp1.xz, tmp2.xz); #else - uvec4 id; - uint ref_id = texelFetch(outlineId, texel, 0).r; - id.x = texelFetchOffset(outlineId, texel, 0, ivec2(-1, 0)).r; - id.y = texelFetchOffset(outlineId, texel, 0, ivec2( 0, -1)).r; - id.z = texelFetchOffset(outlineId, texel, 0, ivec2( 0, 1)).r; - id.w = texelFetchOffset(outlineId, texel, 0, ivec2( 1, 0)).r; + uvec4 id; + uint ref_id = texelFetch(outlineId, texel, 0).r; + id.x = texelFetchOffset(outlineId, texel, 0, ivec2(-1, 0)).r; + id.y = texelFetchOffset(outlineId, texel, 0, ivec2(0, -1)).r; + id.z = texelFetchOffset(outlineId, texel, 0, ivec2(0, 1)).r; + id.w = texelFetchOffset(outlineId, texel, 0, ivec2(1, 0)).r; #endif #ifdef WIRE - /* We want only 2px outlines. */ - /* TODO optimize, don't sample if we don't need to. */ - id.xy = uvec2(ref_id); + /* We want only 2px outlines. */ + /* TODO optimize, don't sample if we don't need to. */ + id.xy = uvec2(ref_id); #endif - bool outline = any(notEqual(id, uvec4(ref_id))); - - ivec2 depth_texel = texel; - /* If texel is an outline but has no valid id ... - * replace id and depth texel by a valid one. - * This keeps the outline thickness consistent everywhere. */ - if (ref_id == 0u && outline) { - depth_texel = (id.x != 0u) ? texel + ivec2(-1, 0) : depth_texel; - depth_texel = (id.y != 0u) ? texel + ivec2( 0, -1) : depth_texel; - depth_texel = (id.z != 0u) ? texel + ivec2( 0, 1) : depth_texel; - depth_texel = (id.w != 0u) ? texel + ivec2( 1, 0) : depth_texel; - - ref_id = (id.x != 0u) ? id.x : ref_id; - ref_id = (id.y != 0u) ? id.y : ref_id; - ref_id = (id.z != 0u) ? id.z : ref_id; - ref_id = (id.w != 0u) ? id.w : ref_id; - } - - float ref_depth = texelFetch(outlineDepth, depth_texel, 0).r; - float scene_depth = texelFetch(sceneDepth, depth_texel, 0).r; - - /* Avoid bad cases of zfighting for occlusion only. */ - const float epsilon = 3.0 / 8388608.0; - bool occluded = (ref_depth > scene_depth + epsilon); - - FragColor = convert_id_to_color(int(ref_id)); - FragColor.a *= (occluded) ? alphaOcclu : 1.0; - FragColor.a = (outline) ? FragColor.a : 0.0; + bool outline = any(notEqual(id, uvec4(ref_id))); + + ivec2 depth_texel = texel; + /* If texel is an outline but has no valid id ... + * replace id and depth texel by a valid one. + * This keeps the outline thickness consistent everywhere. */ + if (ref_id == 0u && outline) { + depth_texel = (id.x != 0u) ? texel + ivec2(-1, 0) : depth_texel; + depth_texel = (id.y != 0u) ? texel + ivec2(0, -1) : depth_texel; + depth_texel = (id.z != 0u) ? texel + ivec2(0, 1) : depth_texel; + depth_texel = (id.w != 0u) ? texel + ivec2(1, 0) : depth_texel; + + ref_id = (id.x != 0u) ? id.x : ref_id; + ref_id = (id.y != 0u) ? id.y : ref_id; + ref_id = (id.z != 0u) ? id.z : ref_id; + ref_id = (id.w != 0u) ? id.w : ref_id; + } + + float ref_depth = texelFetch(outlineDepth, depth_texel, 0).r; + float scene_depth = texelFetch(sceneDepth, depth_texel, 0).r; + + /* Avoid bad cases of zfighting for occlusion only. */ + const float epsilon = 3.0 / 8388608.0; + bool occluded = (ref_depth > scene_depth + epsilon); + + FragColor = convert_id_to_color(int(ref_id)); + FragColor.a *= (occluded) ? alphaOcclu : 1.0; + FragColor.a = (outline) ? FragColor.a : 0.0; } diff --git a/source/blender/draw/modes/shaders/object_outline_expand_frag.glsl b/source/blender/draw/modes/shaders/object_outline_expand_frag.glsl index 8b5603919c4..cb9fe0e7c36 100644 --- a/source/blender/draw/modes/shaders/object_outline_expand_frag.glsl +++ b/source/blender/draw/modes/shaders/object_outline_expand_frag.glsl @@ -10,42 +10,42 @@ uniform bool doExpand; void main() { - ivec2 uv = ivec2(gl_FragCoord.xy); - FragColor = texelFetch(outlineColor, uv, 0).rgba; + ivec2 uv = ivec2(gl_FragCoord.xy); + FragColor = texelFetch(outlineColor, uv, 0).rgba; - vec4 color[4]; - color[0] = texelFetchOffset(outlineColor, uv, 0, ivec2( 1, 0)).rgba; - color[1] = texelFetchOffset(outlineColor, uv, 0, ivec2( 0, 1)).rgba; - color[2] = texelFetchOffset(outlineColor, uv, 0, ivec2(-1, 0)).rgba; - color[3] = texelFetchOffset(outlineColor, uv, 0, ivec2( 0, -1)).rgba; + vec4 color[4]; + color[0] = texelFetchOffset(outlineColor, uv, 0, ivec2(1, 0)).rgba; + color[1] = texelFetchOffset(outlineColor, uv, 0, ivec2(0, 1)).rgba; + color[2] = texelFetchOffset(outlineColor, uv, 0, ivec2(-1, 0)).rgba; + color[3] = texelFetchOffset(outlineColor, uv, 0, ivec2(0, -1)).rgba; - vec4 values = vec4(color[0].a, color[1].a, color[2].a, color[3].a); + vec4 values = vec4(color[0].a, color[1].a, color[2].a, color[3].a); - vec4 tests = step(vec4(1e-6), values); /* (color.a != 0.0) */ - bvec4 btests = equal(tests, vec4(1.0)); + vec4 tests = step(vec4(1e-6), values); /* (color.a != 0.0) */ + bvec4 btests = equal(tests, vec4(1.0)); - if (FragColor.a != 0.0) { - return; - } + if (FragColor.a != 0.0) { + return; + } #ifdef LARGE_OUTLINE - if (!any(btests)) { - color[0] = texelFetchOffset(outlineColor, uv, 0, ivec2( 2, 0)).rgba; - color[1] = texelFetchOffset(outlineColor, uv, 0, ivec2( 0, 2)).rgba; - color[2] = texelFetchOffset(outlineColor, uv, 0, ivec2(-2, 0)).rgba; - color[3] = texelFetchOffset(outlineColor, uv, 0, ivec2( 0, -2)).rgba; + if (!any(btests)) { + color[0] = texelFetchOffset(outlineColor, uv, 0, ivec2(2, 0)).rgba; + color[1] = texelFetchOffset(outlineColor, uv, 0, ivec2(0, 2)).rgba; + color[2] = texelFetchOffset(outlineColor, uv, 0, ivec2(-2, 0)).rgba; + color[3] = texelFetchOffset(outlineColor, uv, 0, ivec2(0, -2)).rgba; - values = vec4(color[0].a, color[1].a, color[2].a, color[3].a); + values = vec4(color[0].a, color[1].a, color[2].a, color[3].a); - tests = step(vec4(1e-6), values); /* (color.a != 0.0) */ - btests = equal(tests, vec4(1.0)); - } + tests = step(vec4(1e-6), values); /* (color.a != 0.0) */ + btests = equal(tests, vec4(1.0)); + } #endif - FragColor = (btests.x) ? color[0] : FragColor; - FragColor = (btests.y) ? color[1] : FragColor; - FragColor = (btests.z) ? color[2] : FragColor; - FragColor = (btests.w) ? color[3] : FragColor; + FragColor = (btests.x) ? color[0] : FragColor; + FragColor = (btests.y) ? color[1] : FragColor; + FragColor = (btests.z) ? color[2] : FragColor; + FragColor = (btests.w) ? color[3] : FragColor; - FragColor.a *= (!doExpand) ? 0.0 : 1.0; + FragColor.a *= (!doExpand) ? 0.0 : 1.0; } diff --git a/source/blender/draw/modes/shaders/object_outline_prepass_frag.glsl b/source/blender/draw/modes/shaders/object_outline_prepass_frag.glsl index 776adb787ad..c3447456ea6 100644 --- a/source/blender/draw/modes/shaders/object_outline_prepass_frag.glsl +++ b/source/blender/draw/modes/shaders/object_outline_prepass_frag.glsl @@ -6,5 +6,5 @@ out uint outId; void main() { - outId = uint(baseId + callId); + outId = uint(baseId + callId); } diff --git a/source/blender/draw/modes/shaders/object_outline_prepass_geom.glsl b/source/blender/draw/modes/shaders/object_outline_prepass_geom.glsl index 36999267ef2..97d4bdacf07 100644 --- a/source/blender/draw/modes/shaders/object_outline_prepass_geom.glsl +++ b/source/blender/draw/modes/shaders/object_outline_prepass_geom.glsl @@ -9,45 +9,45 @@ in vec3 vPos[]; void vert_from_gl_in(int v) { - gl_Position = pPos[v]; + gl_Position = pPos[v]; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[v].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[v].gl_ClipDistance); #endif } void main() { - bool is_persp = (ProjectionMatrix[3][3] == 0.0); + bool is_persp = (ProjectionMatrix[3][3] == 0.0); - vec3 view_vec = (is_persp) ? normalize(vPos[1]) : vec3(0.0, 0.0, -1.0); + vec3 view_vec = (is_persp) ? normalize(vPos[1]) : vec3(0.0, 0.0, -1.0); - vec3 v10 = vPos[0] - vPos[1]; - vec3 v12 = vPos[2] - vPos[1]; - vec3 v13 = vPos[3] - vPos[1]; + vec3 v10 = vPos[0] - vPos[1]; + vec3 v12 = vPos[2] - vPos[1]; + vec3 v13 = vPos[3] - vPos[1]; - vec3 n0 = cross(v12, v10); - vec3 n3 = cross(v13, v12); + vec3 n0 = cross(v12, v10); + vec3 n3 = cross(v13, v12); - float fac0 = dot(view_vec, n0); - float fac3 = dot(view_vec, n3); + float fac0 = dot(view_vec, n0); + float fac3 = dot(view_vec, n3); - /* If both adjacent verts are facing the camera the same way, - * then it isn't an outline edge. */ - if (sign(fac0) == sign(fac3)) { - return; - } + /* If both adjacent verts are facing the camera the same way, + * then it isn't an outline edge. */ + if (sign(fac0) == sign(fac3)) { + return; + } - /* Don't outline if concave edge. */ - /* That would hide a lot of non useful edge but it flickers badly. - * TODO revisit later... */ - // if (dot(n0, v13) > 0.01) - // return; + /* Don't outline if concave edge. */ + /* That would hide a lot of non useful edge but it flickers badly. + * TODO revisit later... */ + // if (dot(n0, v13) > 0.01) + // return; - vert_from_gl_in(1); - EmitVertex(); + vert_from_gl_in(1); + EmitVertex(); - vert_from_gl_in(2); - EmitVertex(); + vert_from_gl_in(2); + EmitVertex(); - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/object_outline_prepass_vert.glsl b/source/blender/draw/modes/shaders/object_outline_prepass_vert.glsl index 744bf0ff1e3..0b5f4733ebc 100644 --- a/source/blender/draw/modes/shaders/object_outline_prepass_vert.glsl +++ b/source/blender/draw/modes/shaders/object_outline_prepass_vert.glsl @@ -10,12 +10,12 @@ out vec3 vPos; void main() { - vPos = (ModelViewMatrix * vec4(pos, 1.0)).xyz; - pPos = ModelViewProjectionMatrix * vec4(pos, 1.0); - /* Small bias to always be on top of the geom. */ - pPos.z -= 1e-3; + vPos = (ModelViewMatrix * vec4(pos, 1.0)).xyz; + pPos = ModelViewProjectionMatrix * vec4(pos, 1.0); + /* Small bias to always be on top of the geom. */ + pPos.z -= 1e-3; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/object_outline_resolve_frag.glsl b/source/blender/draw/modes/shaders/object_outline_resolve_frag.glsl index 964ebe72e81..ba5d073a9c2 100644 --- a/source/blender/draw/modes/shaders/object_outline_resolve_frag.glsl +++ b/source/blender/draw/modes/shaders/object_outline_resolve_frag.glsl @@ -9,19 +9,13 @@ uniform vec2 rcpDimensions; void main() { #ifdef USE_FXAA - float aa_alpha = FxaaPixelShader( - uvcoordsvar.st, - outlineBluredColor, - rcpDimensions, - 1.0, - 0.166, - 0.0833 - ).r; + float aa_alpha = + FxaaPixelShader(uvcoordsvar.st, outlineBluredColor, rcpDimensions, 1.0, 0.166, 0.0833).r; #endif - FragColor = texture(outlineBluredColor, uvcoordsvar.st).rgba; + FragColor = texture(outlineBluredColor, uvcoordsvar.st).rgba; #ifdef USE_FXAA - FragColor.a = aa_alpha; + FragColor.a = aa_alpha; #endif } diff --git a/source/blender/draw/modes/shaders/object_particle_dot_frag.glsl b/source/blender/draw/modes/shaders/object_particle_dot_frag.glsl index e8bf7884701..d15580056b0 100644 --- a/source/blender/draw/modes/shaders/object_particle_dot_frag.glsl +++ b/source/blender/draw/modes/shaders/object_particle_dot_frag.glsl @@ -8,45 +8,46 @@ flat in float finalVal; out vec4 fragColor; -void main() { - float dist = length(gl_PointCoord - vec2(0.5)); - -// transparent outside of point -// --- 0 --- -// smooth transition -// --- 1 --- -// pure outline color -// --- 2 --- -// smooth transition -// --- 3 --- -// pure point color -// ... -// dist = 0 at center of point - - float midStroke = 0.5 * (radii[1] + radii[2]); - - if (dist > midStroke) { - if (finalVal < 0.0) { - fragColor.rgb = outlineColor; - } - else { - fragColor.rgb = texture(ramp, finalVal).rgb; - } - - fragColor.a = mix(1.0, 0.0, smoothstep(radii[1], radii[0], dist)); - } - else { - if (finalVal < 0.0) { - fragColor.rgb = mix(color, outlineColor, smoothstep(radii[3], radii[2], dist)); - } - else { - fragColor.rgb = texture(ramp, finalVal).rgb; - } - - fragColor.a = 1.0; - } - - if (fragColor.a == 0.0) { - discard; - } +void main() +{ + float dist = length(gl_PointCoord - vec2(0.5)); + + // transparent outside of point + // --- 0 --- + // smooth transition + // --- 1 --- + // pure outline color + // --- 2 --- + // smooth transition + // --- 3 --- + // pure point color + // ... + // dist = 0 at center of point + + float midStroke = 0.5 * (radii[1] + radii[2]); + + if (dist > midStroke) { + if (finalVal < 0.0) { + fragColor.rgb = outlineColor; + } + else { + fragColor.rgb = texture(ramp, finalVal).rgb; + } + + fragColor.a = mix(1.0, 0.0, smoothstep(radii[1], radii[0], dist)); + } + else { + if (finalVal < 0.0) { + fragColor.rgb = mix(color, outlineColor, smoothstep(radii[3], radii[2], dist)); + } + else { + fragColor.rgb = texture(ramp, finalVal).rgb; + } + + fragColor.a = 1.0; + } + + if (fragColor.a == 0.0) { + discard; + } } diff --git a/source/blender/draw/modes/shaders/object_particle_dot_vert.glsl b/source/blender/draw/modes/shaders/object_particle_dot_vert.glsl index 6dfc212a776..e51b829adb5 100644 --- a/source/blender/draw/modes/shaders/object_particle_dot_vert.glsl +++ b/source/blender/draw/modes/shaders/object_particle_dot_vert.glsl @@ -10,26 +10,28 @@ in float val; out vec4 radii; flat out float finalVal; -void main() { - gl_Position = ModelViewMatrix * vec4(pos, 1.0); +void main() +{ + gl_Position = ModelViewMatrix * vec4(pos, 1.0); - float psize = (ProjectionMatrix[3][3] == 0.0) ? (size / (-gl_Position.z * pixel_size)) : (size / pixel_size); + float psize = (ProjectionMatrix[3][3] == 0.0) ? (size / (-gl_Position.z * pixel_size)) : + (size / pixel_size); - gl_PointSize = psize; + gl_PointSize = psize; - // calculate concentric radii in pixels - float radius = 0.5 * psize; + // calculate concentric radii in pixels + float radius = 0.5 * psize; - // start at the outside and progress toward the center - radii[0] = radius; - radii[1] = radius - 1.0; - radii[2] = radius - 1.0; - radii[3] = radius - 2.0; + // start at the outside and progress toward the center + radii[0] = radius; + radii[1] = radius - 1.0; + radii[2] = radius - 1.0; + radii[3] = radius - 2.0; - // convert to PointCoord units - radii /= psize; + // convert to PointCoord units + radii /= psize; - gl_Position = ProjectionMatrix * gl_Position; + gl_Position = ProjectionMatrix * gl_Position; - finalVal = val; + finalVal = val; } diff --git a/source/blender/draw/modes/shaders/object_particle_prim_vert.glsl b/source/blender/draw/modes/shaders/object_particle_prim_vert.glsl index 3df5115db76..0f626626498 100644 --- a/source/blender/draw/modes/shaders/object_particle_prim_vert.glsl +++ b/source/blender/draw/modes/shaders/object_particle_prim_vert.glsl @@ -18,42 +18,42 @@ flat out vec4 finalColor; vec3 rotate(vec3 vec, vec4 quat) { - /* The quaternion representation here stores the w component in the first index */ - return vec + 2.0 * cross(quat.yzw, cross(quat.yzw, vec) + quat.x * vec); + /* The quaternion representation here stores the w component in the first index */ + return vec + 2.0 * cross(quat.yzw, cross(quat.yzw, vec) + quat.x * vec); } void main() { - if (screen_space == 1) { - gl_Position = ModelViewMatrix * vec4(pos, 1.0) + vec4(inst_pos * draw_size, 0.0); - gl_Position = ProjectionMatrix * gl_Position; - } - else { - float size = draw_size; + if (screen_space == 1) { + gl_Position = ModelViewMatrix * vec4(pos, 1.0) + vec4(inst_pos * draw_size, 0.0); + gl_Position = ProjectionMatrix * gl_Position; + } + else { + float size = draw_size; - if (axis > -1) { - size *= 2; - } + if (axis > -1) { + size *= 2; + } - gl_Position = ModelViewProjectionMatrix * vec4(pos + rotate(inst_pos * size, rot), 1.0); - } + gl_Position = ModelViewProjectionMatrix * vec4(pos + rotate(inst_pos * size, rot), 1.0); + } #ifdef USE_AXIS - if (axis == 0) { - finalColor = vec4(1.0, 0.0, 0.0, 1.0); - } - else if (axis == 1) { - finalColor = vec4(0.0, 1.0, 0.0, 1.0); - } - else { - finalColor = vec4(0.0, 0.0, 1.0, 1.0); - } + if (axis == 0) { + finalColor = vec4(1.0, 0.0, 0.0, 1.0); + } + else if (axis == 1) { + finalColor = vec4(0.0, 1.0, 0.0, 1.0); + } + else { + finalColor = vec4(0.0, 0.0, 1.0, 1.0); + } #else - if (val < 0.0) { - finalColor = vec4(color, 1.0); - } - else { - finalColor = vec4(texture(ramp, val).rgb, 1.0); - } + if (val < 0.0) { + finalColor = vec4(color, 1.0); + } + else { + finalColor = vec4(texture(ramp, val).rgb, 1.0); + } #endif } diff --git a/source/blender/draw/modes/shaders/overlay_face_orientation_frag.glsl b/source/blender/draw/modes/shaders/overlay_face_orientation_frag.glsl index 5b0ad7863d1..1ed35b4a421 100644 --- a/source/blender/draw/modes/shaders/overlay_face_orientation_frag.glsl +++ b/source/blender/draw/modes/shaders/overlay_face_orientation_frag.glsl @@ -3,8 +3,7 @@ uniform vec3 color_outwards = vec3(1.0, 0.0, 0.0); out vec4 fragColor; - void main() { - fragColor = vec4(gl_FrontFacing ? color_towards: color_outwards, 0.7); + fragColor = vec4(gl_FrontFacing ? color_towards : color_outwards, 0.7); } diff --git a/source/blender/draw/modes/shaders/overlay_face_orientation_vert.glsl b/source/blender/draw/modes/shaders/overlay_face_orientation_vert.glsl index f9f2679fe81..659e3cbd5f5 100644 --- a/source/blender/draw/modes/shaders/overlay_face_orientation_vert.glsl +++ b/source/blender/draw/modes/shaders/overlay_face_orientation_vert.glsl @@ -5,9 +5,9 @@ in vec3 pos; void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/overlay_face_wireframe_frag.glsl b/source/blender/draw/modes/shaders/overlay_face_wireframe_frag.glsl index 1a984b2fbc6..9414d25e71e 100644 --- a/source/blender/draw/modes/shaders/overlay_face_wireframe_frag.glsl +++ b/source/blender/draw/modes/shaders/overlay_face_wireframe_frag.glsl @@ -9,15 +9,15 @@ out vec4 fragColor; void main() { - if (edgeSharpness < 0.0) { - discard; - } + if (edgeSharpness < 0.0) { + discard; + } - float facing_clamped = clamp(abs(facing), 0.0, 1.0); + float facing_clamped = clamp(abs(facing), 0.0, 1.0); - vec3 final_front_col = mix(rimColor, wireColor, 0.4); - vec3 final_rim_col = mix(rimColor, wireColor, 0.1); + vec3 final_front_col = mix(rimColor, wireColor, 0.4); + vec3 final_rim_col = mix(rimColor, wireColor, 0.1); - fragColor.rgb = mix(final_rim_col, final_front_col, facing_clamped); - fragColor.a = 1.0f; + fragColor.rgb = mix(final_rim_col, final_front_col, facing_clamped); + fragColor.a = 1.0f; } diff --git a/source/blender/draw/modes/shaders/overlay_face_wireframe_geom.glsl b/source/blender/draw/modes/shaders/overlay_face_wireframe_geom.glsl index 8f52c4fdf95..6ae52d43a48 100644 --- a/source/blender/draw/modes/shaders/overlay_face_wireframe_geom.glsl +++ b/source/blender/draw/modes/shaders/overlay_face_wireframe_geom.glsl @@ -19,42 +19,42 @@ flat out float edgeSharpness; void do_vertex(const int i, float coord, vec2 offset) { #ifndef SELECT_EDGES - edgeSharpness = edgeSharpness_g[i]; - facing = facing_g[i]; + edgeSharpness = edgeSharpness_g[i]; + facing = facing_g[i]; #endif - gl_Position = gl_in[i].gl_Position; - /* Multiply offset by 2 because gl_Position range is [-1..1]. */ - gl_Position.xy += offset * 2.0 * gl_Position.w; + gl_Position = gl_in[i].gl_Position; + /* Multiply offset by 2 because gl_Position range is [-1..1]. */ + gl_Position.xy += offset * 2.0 * gl_Position.w; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_set_clip_distance(gl_in[i].gl_ClipDistance); + world_clip_planes_set_clip_distance(gl_in[i].gl_ClipDistance); #endif - EmitVertex(); + EmitVertex(); } void main() { - vec2 ss_pos[2]; - ss_pos[0] = gl_in[0].gl_Position.xy / gl_in[0].gl_Position.w; - ss_pos[1] = gl_in[1].gl_Position.xy / gl_in[1].gl_Position.w; + vec2 ss_pos[2]; + ss_pos[0] = gl_in[0].gl_Position.xy / gl_in[0].gl_Position.w; + ss_pos[1] = gl_in[1].gl_Position.xy / gl_in[1].gl_Position.w; - vec2 line = ss_pos[0] - ss_pos[1]; - line = abs(line) * viewportSize; + vec2 line = ss_pos[0] - ss_pos[1]; + line = abs(line) * viewportSize; - float half_size = wireSize; + float half_size = wireSize; - vec3 edge_ofs = half_size * viewportSizeInv.xyy * vec3(1.0, 1.0, 0.0); + vec3 edge_ofs = half_size * viewportSizeInv.xyy * vec3(1.0, 1.0, 0.0); - bool horizontal = line.x > line.y; - edge_ofs = (horizontal) ? edge_ofs.zyz : edge_ofs.xzz; + bool horizontal = line.x > line.y; + edge_ofs = (horizontal) ? edge_ofs.zyz : edge_ofs.xzz; - if (edgeSharpness_g[0] < 0.0) { - return; - } + if (edgeSharpness_g[0] < 0.0) { + return; + } - do_vertex(0, half_size, edge_ofs.xy); - do_vertex(0, -half_size, -edge_ofs.xy); - do_vertex(1, half_size, edge_ofs.xy); - do_vertex(1, -half_size, -edge_ofs.xy); + do_vertex(0, half_size, edge_ofs.xy); + do_vertex(0, -half_size, -edge_ofs.xy); + do_vertex(1, half_size, edge_ofs.xy); + do_vertex(1, -half_size, -edge_ofs.xy); - EndPrimitive(); + EndPrimitive(); } diff --git a/source/blender/draw/modes/shaders/overlay_face_wireframe_vert.glsl b/source/blender/draw/modes/shaders/overlay_face_wireframe_vert.glsl index 0424a49dd5d..96acba71233 100644 --- a/source/blender/draw/modes/shaders/overlay_face_wireframe_vert.glsl +++ b/source/blender/draw/modes/shaders/overlay_face_wireframe_vert.glsl @@ -14,10 +14,13 @@ in float wd; /* wiredata */ #ifndef USE_SCULPT float get_edge_sharpness(float wd) { - return ((wd == 0.0) ? -1.5 : wd) + wireStepParam; + return ((wd == 0.0) ? -1.5 : wd) + wireStepParam; } #else -float get_edge_sharpness(float wd) { return 1.0; } +float get_edge_sharpness(float wd) +{ + return 1.0; +} #endif /* Geometry shader version */ @@ -27,18 +30,18 @@ out float edgeSharpness_g; void main() { - edgeSharpness_g = get_edge_sharpness(wd); + edgeSharpness_g = get_edge_sharpness(wd); - mat4 projmat = ProjectionMatrix; - projmat[3][2] -= ofs; + mat4 projmat = ProjectionMatrix; + projmat[3][2] -= ofs; - gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); + gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); - facing_g = normalize(NormalMatrix * nor).z; + facing_g = normalize(NormalMatrix * nor).z; -#ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); -#endif +# ifdef USE_WORLD_CLIP_PLANES + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); +# endif } #else /* USE_GEOM */ @@ -47,18 +50,18 @@ flat out float edgeSharpness; void main() { - edgeSharpness = get_edge_sharpness(wd); + edgeSharpness = get_edge_sharpness(wd); - mat4 projmat = ProjectionMatrix; - projmat[3][2] -= ofs; + mat4 projmat = ProjectionMatrix; + projmat[3][2] -= ofs; - gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); + gl_Position = projmat * (ModelViewMatrix * vec4(pos, 1.0)); - facing = normalize(NormalMatrix * nor).z; + facing = normalize(NormalMatrix * nor).z; -#ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); -#endif +# ifdef USE_WORLD_CLIP_PLANES + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); +# endif } #endif /* SELECT_EDGES */ diff --git a/source/blender/draw/modes/shaders/paint_face_vert.glsl b/source/blender/draw/modes/shaders/paint_face_vert.glsl index a850a130955..59b88d8d3a7 100644 --- a/source/blender/draw/modes/shaders/paint_face_vert.glsl +++ b/source/blender/draw/modes/shaders/paint_face_vert.glsl @@ -7,14 +7,14 @@ in vec4 nor; /* select flag on the 4th component */ void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - /* Don't draw faces that are selected. */ - if (nor.w > 0.0) { - gl_Position = vec4(0.0, 0.0, 0.0, 1.0); - } - else { + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + /* Don't draw faces that are selected. */ + if (nor.w > 0.0) { + gl_Position = vec4(0.0, 0.0, 0.0, 1.0); + } + else { #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif - } + } } diff --git a/source/blender/draw/modes/shaders/paint_texture_frag.glsl b/source/blender/draw/modes/shaders/paint_texture_frag.glsl index aadbf8c58c0..c7e110122c5 100644 --- a/source/blender/draw/modes/shaders/paint_texture_frag.glsl +++ b/source/blender/draw/modes/shaders/paint_texture_frag.glsl @@ -18,24 +18,24 @@ uniform bool maskingInvertStencil; void main() { - vec2 uv = uv_interp; - if (nearestInterp) { - vec2 tex_size = vec2(textureSize(image, 0).xy); - uv = (floor(uv_interp * tex_size) + 0.5) / tex_size; - } + vec2 uv = uv_interp; + if (nearestInterp) { + vec2 tex_size = vec2(textureSize(image, 0).xy); + uv = (floor(uv_interp * tex_size) + 0.5) / tex_size; + } - vec4 color = texture(image, uv); - color.a *= alpha; + vec4 color = texture(image, uv); + color.a *= alpha; #ifdef TEXTURE_PAINT_MASK - vec4 mask = vec4(texture(maskingImage, masking_uv_interp).rgb, 1.0); - if (maskingInvertStencil) { - mask.rgb = 1.0 - mask.rgb; - } - float mask_step = smoothstep(0, 3.0, mask.r+mask.g+mask.b); - mask.rgb *= maskingColor; - color = mix(color, mask, mask_step); + vec4 mask = vec4(texture(maskingImage, masking_uv_interp).rgb, 1.0); + if (maskingInvertStencil) { + mask.rgb = 1.0 - mask.rgb; + } + float mask_step = smoothstep(0, 3.0, mask.r + mask.g + mask.b); + mask.rgb *= maskingColor; + color = mix(color, mask, mask_step); #endif - fragColor = color; + fragColor = color; } diff --git a/source/blender/draw/modes/shaders/paint_texture_vert.glsl b/source/blender/draw/modes/shaders/paint_texture_vert.glsl index 43a353f0278..03d933b9196 100644 --- a/source/blender/draw/modes/shaders/paint_texture_vert.glsl +++ b/source/blender/draw/modes/shaders/paint_texture_vert.glsl @@ -17,15 +17,15 @@ out vec2 masking_uv_interp; void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - uv_interp = u; + uv_interp = u; #ifdef TEXTURE_PAINT_MASK - masking_uv_interp = mu; + masking_uv_interp = mu; #endif #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/paint_vert_frag.glsl b/source/blender/draw/modes/shaders/paint_vert_frag.glsl index 3042ddf9770..3303dfa6173 100644 --- a/source/blender/draw/modes/shaders/paint_vert_frag.glsl +++ b/source/blender/draw/modes/shaders/paint_vert_frag.glsl @@ -4,14 +4,14 @@ out vec4 fragColor; void main() { - vec2 centered = gl_PointCoord - vec2(0.5); - float dist_squared = dot(centered, centered); - const float rad_squared = 0.25; + vec2 centered = gl_PointCoord - vec2(0.5); + float dist_squared = dot(centered, centered); + const float rad_squared = 0.25; - // round point with jaggy edges - if (dist_squared > rad_squared) { - discard; - } + // round point with jaggy edges + if (dist_squared > rad_squared) { + discard; + } - fragColor = finalColor; + fragColor = finalColor; } diff --git a/source/blender/draw/modes/shaders/paint_vertex_frag.glsl b/source/blender/draw/modes/shaders/paint_vertex_frag.glsl index 6dd97b36ee7..426dbada812 100644 --- a/source/blender/draw/modes/shaders/paint_vertex_frag.glsl +++ b/source/blender/draw/modes/shaders/paint_vertex_frag.glsl @@ -4,15 +4,16 @@ in vec3 finalColor; out vec4 fragColor; uniform float white_factor = 1.0; -vec3 linear_to_srgb_attr(vec3 c) { - c = max(c, vec3(0.0)); - vec3 c1 = c * 12.92; - vec3 c2 = 1.055 * pow(c, vec3(1.0 / 2.4)) - 0.055; - return mix(c1, c2, step(vec3(0.0031308), c)); +vec3 linear_to_srgb_attr(vec3 c) +{ + c = max(c, vec3(0.0)); + vec3 c1 = c * 12.92; + vec3 c2 = 1.055 * pow(c, vec3(1.0 / 2.4)) - 0.055; + return mix(c1, c2, step(vec3(0.0031308), c)); } void main() { - fragColor.rgb = mix(linear_to_srgb_attr(finalColor), vec3(1.0), white_factor); - fragColor.a = 1.0; + fragColor.rgb = mix(linear_to_srgb_attr(finalColor), vec3(1.0), white_factor); + fragColor.a = 1.0; } diff --git a/source/blender/draw/modes/shaders/paint_vertex_vert.glsl b/source/blender/draw/modes/shaders/paint_vertex_vert.glsl index 39f59a29756..54f6d1a4aea 100644 --- a/source/blender/draw/modes/shaders/paint_vertex_vert.glsl +++ b/source/blender/draw/modes/shaders/paint_vertex_vert.glsl @@ -7,20 +7,21 @@ in vec3 c; /* active color */ out vec3 finalColor; -vec3 srgb_to_linear_attr(vec3 c) { - c = max(c, vec3(0.0)); - vec3 c1 = c * (1.0 / 12.92); - vec3 c2 = pow((c + 0.055) * (1.0 / 1.055), vec3(2.4)); - return mix(c1, c2, step(vec3(0.04045), c)); +vec3 srgb_to_linear_attr(vec3 c) +{ + c = max(c, vec3(0.0)); + vec3 c1 = c * (1.0 / 12.92); + vec3 c2 = pow((c + 0.055) * (1.0 / 1.055), vec3(2.4)); + return mix(c1, c2, step(vec3(0.04045), c)); } void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - finalColor = srgb_to_linear_attr(c); + finalColor = srgb_to_linear_attr(c); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/paint_weight_frag.glsl b/source/blender/draw/modes/shaders/paint_weight_frag.glsl index 7460eabedbe..8b0e03ac31c 100644 --- a/source/blender/draw/modes/shaders/paint_weight_frag.glsl +++ b/source/blender/draw/modes/shaders/paint_weight_frag.glsl @@ -10,91 +10,91 @@ uniform bool drawContours = false; float contours(float value, float steps, float width_px, float max_rel_width, float gradient) { - /* Minimum visible and minimum full strength line width in screen space for fade out. */ - const float min_width_px = 1.3, fade_width_px = 2.3; - /* Line is thinner towards the increase in the weight gradient by this factor. */ - const float hi_bias = 2.0; + /* Minimum visible and minimum full strength line width in screen space for fade out. */ + const float min_width_px = 1.3, fade_width_px = 2.3; + /* Line is thinner towards the increase in the weight gradient by this factor. */ + const float hi_bias = 2.0; - /* Don't draw lines at 0 or 1. */ - float rel_value = value * steps; + /* Don't draw lines at 0 or 1. */ + float rel_value = value * steps; - if (rel_value < 0.5 || rel_value > steps - 0.5) { - return 0.0; - } + if (rel_value < 0.5 || rel_value > steps - 0.5) { + return 0.0; + } - /* Check if completely invisible due to fade out. */ - float rel_gradient = gradient * steps; - float rel_min_width = min_width_px * rel_gradient; + /* Check if completely invisible due to fade out. */ + float rel_gradient = gradient * steps; + float rel_min_width = min_width_px * rel_gradient; - if (max_rel_width <= rel_min_width) { - return 0.0; - } + if (max_rel_width <= rel_min_width) { + return 0.0; + } - /* Main shape of the line, accounting for width bias and maximum weight space width. */ - float rel_width = width_px * rel_gradient; + /* Main shape of the line, accounting for width bias and maximum weight space width. */ + float rel_width = width_px * rel_gradient; - float offset = fract(rel_value + 0.5) - 0.5; + float offset = fract(rel_value + 0.5) - 0.5; - float base_alpha = 1.0 - max(offset * hi_bias, -offset) / min(max_rel_width, rel_width); + float base_alpha = 1.0 - max(offset * hi_bias, -offset) / min(max_rel_width, rel_width); - /* Line fadeout when too thin in screen space. */ - float rel_fade_width = fade_width_px * rel_gradient; + /* Line fadeout when too thin in screen space. */ + float rel_fade_width = fade_width_px * rel_gradient; - float fade_alpha = (max_rel_width - rel_min_width) / (rel_fade_width - rel_min_width); + float fade_alpha = (max_rel_width - rel_min_width) / (rel_fade_width - rel_min_width); - return clamp(base_alpha, 0.0, 1.0) * clamp(fade_alpha, 0.0, 1.0); + return clamp(base_alpha, 0.0, 1.0) * clamp(fade_alpha, 0.0, 1.0); } vec4 contour_grid(float weight, float weight_gradient) { - /* Fade away when the gradient is too low to avoid big fills and noise. */ - float flt_eps = max(1e-8, 1e-6 * weight); + /* Fade away when the gradient is too low to avoid big fills and noise. */ + float flt_eps = max(1e-8, 1e-6 * weight); - if (weight_gradient <= flt_eps) { - return vec4(0.0); - } + if (weight_gradient <= flt_eps) { + return vec4(0.0); + } - /* Three levels of grid lines */ - float grid10 = contours(weight, 10.0, 5.0, 0.3, weight_gradient); - float grid100 = contours(weight, 100.0, 3.5, 0.35, weight_gradient) * 0.6; - float grid1000 = contours(weight, 1000.0, 2.5, 0.4, weight_gradient) * 0.25; + /* Three levels of grid lines */ + float grid10 = contours(weight, 10.0, 5.0, 0.3, weight_gradient); + float grid100 = contours(weight, 100.0, 3.5, 0.35, weight_gradient) * 0.6; + float grid1000 = contours(weight, 1000.0, 2.5, 0.4, weight_gradient) * 0.25; - /* White lines for 0.1 and 0.01, and black for 0.001 */ - vec4 grid = vec4(1.0) * max(grid10, grid100); + /* White lines for 0.1 and 0.01, and black for 0.001 */ + vec4 grid = vec4(1.0) * max(grid10, grid100); - grid.a = max(grid.a, grid1000); + grid.a = max(grid.a, grid1000); - return grid * clamp((weight_gradient - flt_eps) / flt_eps, 0.0, 1.0); + return grid * clamp((weight_gradient - flt_eps) / flt_eps, 0.0, 1.0); } void main() { - float alert = weight_interp.y; - vec4 color; - - /* Missing vertex group alert color. Uniform in practice. */ - if (alert > 1.1) { - color = colorVertexMissingData; - } - /* Weights are available */ - else { - float weight = weight_interp.x; - vec4 weight_color = texture(colorramp, weight, 0); - - /* Contour display */ - if (drawContours) { - /* This must be executed uniformly for all fragments */ - float weight_gradient = length(vec2(dFdx(weight), dFdy(weight))); - - vec4 grid = contour_grid(weight, weight_gradient); - - weight_color = grid + weight_color * (1 - grid.a); - } - - /* Zero weight alert color. Nonlinear blend to reduce impact. */ - color = mix(weight_color, colorVertexUnreferenced, alert * alert); - } - - /* mix with 1.0 -> is like opacity when using multiply blend mode */ - fragColor = vec4(mix(vec3(1.0), color.rgb, opacity), 1.0); + float alert = weight_interp.y; + vec4 color; + + /* Missing vertex group alert color. Uniform in practice. */ + if (alert > 1.1) { + color = colorVertexMissingData; + } + /* Weights are available */ + else { + float weight = weight_interp.x; + vec4 weight_color = texture(colorramp, weight, 0); + + /* Contour display */ + if (drawContours) { + /* This must be executed uniformly for all fragments */ + float weight_gradient = length(vec2(dFdx(weight), dFdy(weight))); + + vec4 grid = contour_grid(weight, weight_gradient); + + weight_color = grid + weight_color * (1 - grid.a); + } + + /* Zero weight alert color. Nonlinear blend to reduce impact. */ + color = mix(weight_color, colorVertexUnreferenced, alert * alert); + } + + /* mix with 1.0 -> is like opacity when using multiply blend mode */ + fragColor = vec4(mix(vec3(1.0), color.rgb, opacity), 1.0); } diff --git a/source/blender/draw/modes/shaders/paint_weight_vert.glsl b/source/blender/draw/modes/shaders/paint_weight_vert.glsl index d111f3dc0a8..e95b116df79 100644 --- a/source/blender/draw/modes/shaders/paint_weight_vert.glsl +++ b/source/blender/draw/modes/shaders/paint_weight_vert.glsl @@ -9,12 +9,12 @@ out vec2 weight_interp; /* (weight, alert) */ void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - /* Separate actual weight and alerts for independent interpolation */ - weight_interp = max(vec2(weight, -weight), 0.0); + /* Separate actual weight and alerts for independent interpolation */ + weight_interp = max(vec2(weight, -weight), 0.0); #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/paint_wire_frag.glsl b/source/blender/draw/modes/shaders/paint_wire_frag.glsl index d738ed5ddb2..6c214534812 100644 --- a/source/blender/draw/modes/shaders/paint_wire_frag.glsl +++ b/source/blender/draw/modes/shaders/paint_wire_frag.glsl @@ -4,5 +4,5 @@ out vec4 fragColor; void main() { - fragColor = finalColor; + fragColor = finalColor; } diff --git a/source/blender/draw/modes/shaders/paint_wire_vert.glsl b/source/blender/draw/modes/shaders/paint_wire_vert.glsl index b415be7841c..a163fd7e8b3 100644 --- a/source/blender/draw/modes/shaders/paint_wire_vert.glsl +++ b/source/blender/draw/modes/shaders/paint_wire_vert.glsl @@ -10,42 +10,42 @@ flat out vec4 finalColor; void main() { #ifdef USE_SELECT - bool is_select = (nor.w > 0.0); - bool is_hidden = (nor.w < 0.0); + bool is_select = (nor.w > 0.0); + bool is_hidden = (nor.w < 0.0); #else - bool is_select = false; - bool is_hidden = false; + bool is_select = false; + bool is_hidden = false; #endif - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - /* Add offset in Z to avoid zfighting and render selected wires on top. */ - /* TODO scale this bias using znear and zfar range. */ - gl_Position.z -= (is_select ? 2e-4 : 1e-4); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + /* Add offset in Z to avoid zfighting and render selected wires on top. */ + /* TODO scale this bias using znear and zfar range. */ + gl_Position.z -= (is_select ? 2e-4 : 1e-4); - if (is_hidden) { - gl_Position = vec4(-2.0, -2.0, -2.0, 1.0); - } + if (is_hidden) { + gl_Position = vec4(-2.0, -2.0, -2.0, 1.0); + } #ifdef VERTEX_MODE - vec4 colSel = colorEdgeSelect; - colSel.rgb = clamp(colSel.rgb - 0.2, 0.0, 1.0); + vec4 colSel = colorEdgeSelect; + colSel.rgb = clamp(colSel.rgb - 0.2, 0.0, 1.0); #else - const vec4 colSel = vec4(1.0, 1.0, 1.0, 1.0); + const vec4 colSel = vec4(1.0, 1.0, 1.0, 1.0); #endif #ifdef USE_SELECT - finalColor = (is_select) ? colSel : colorWire; + finalColor = (is_select) ? colSel : colorWire; #else # ifdef VERTEX_MODE - finalColor = colorWire; + finalColor = colorWire; # else - /* Weight paint needs a light color to contrasts with dark weights. */ - finalColor.xyz = vec3(0.8, 0.8, 0.8); + /* Weight paint needs a light color to contrasts with dark weights. */ + finalColor.xyz = vec3(0.8, 0.8, 0.8); # endif #endif - finalColor.a = nor.w; + finalColor.a = nor.w; #ifdef USE_WORLD_CLIP_PLANES - world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); + world_clip_planes_calc_clip_distance((ModelMatrix * vec4(pos, 1.0)).xyz); #endif } diff --git a/source/blender/draw/modes/shaders/particle_strand_frag.glsl b/source/blender/draw/modes/shaders/particle_strand_frag.glsl index 8bb213dbd30..578a4935b37 100644 --- a/source/blender/draw/modes/shaders/particle_strand_frag.glsl +++ b/source/blender/draw/modes/shaders/particle_strand_frag.glsl @@ -9,15 +9,15 @@ out vec4 fragColor; void main() { - fragColor = finalColor; + fragColor = finalColor; #ifdef USE_POINTS - float dist = length(gl_PointCoord - vec2(0.5)); + float dist = length(gl_PointCoord - vec2(0.5)); - fragColor.a = mix(finalColor.a, 0.0, smoothstep(radii[1], radii[0], dist)); + fragColor.a = mix(finalColor.a, 0.0, smoothstep(radii[1], radii[0], dist)); - if (fragColor.a == 0.0) { - discard; - } + if (fragColor.a == 0.0) { + discard; + } #endif } diff --git a/source/blender/draw/modes/shaders/particle_strand_vert.glsl b/source/blender/draw/modes/shaders/particle_strand_vert.glsl index 9db62a581cb..745499800e5 100644 --- a/source/blender/draw/modes/shaders/particle_strand_vert.glsl +++ b/source/blender/draw/modes/shaders/particle_strand_vert.glsl @@ -11,63 +11,63 @@ out vec2 radii; vec3 weight_to_rgb(float weight) { - vec3 r_rgb; - float blend = ((weight / 2.0) + 0.5); + vec3 r_rgb; + float blend = ((weight / 2.0) + 0.5); - if (weight <= 0.25) { /* blue->cyan */ - r_rgb[0] = 0.0; - r_rgb[1] = blend * weight * 4.0; - r_rgb[2] = blend; - } - else if (weight <= 0.50) { /* cyan->green */ - r_rgb[0] = 0.0; - r_rgb[1] = blend; - r_rgb[2] = blend * (1.0 - ((weight - 0.25) * 4.0)); - } - else if (weight <= 0.75) { /* green->yellow */ - r_rgb[0] = blend * ((weight - 0.50) * 4.0); - r_rgb[1] = blend; - r_rgb[2] = 0.0; - } - else if (weight <= 1.0) { /* yellow->red */ - r_rgb[0] = blend; - r_rgb[1] = blend * (1.0 - ((weight - 0.75) * 4.0)); - r_rgb[2] = 0.0; - } - else { - /* exceptional value, unclamped or nan, - * avoid uninitialized memory use */ - r_rgb[0] = 1.0; - r_rgb[1] = 0.0; - r_rgb[2] = 1.0; - } + if (weight <= 0.25) { /* blue->cyan */ + r_rgb[0] = 0.0; + r_rgb[1] = blend * weight * 4.0; + r_rgb[2] = blend; + } + else if (weight <= 0.50) { /* cyan->green */ + r_rgb[0] = 0.0; + r_rgb[1] = blend; + r_rgb[2] = blend * (1.0 - ((weight - 0.25) * 4.0)); + } + else if (weight <= 0.75) { /* green->yellow */ + r_rgb[0] = blend * ((weight - 0.50) * 4.0); + r_rgb[1] = blend; + r_rgb[2] = 0.0; + } + else if (weight <= 1.0) { /* yellow->red */ + r_rgb[0] = blend; + r_rgb[1] = blend * (1.0 - ((weight - 0.75) * 4.0)); + r_rgb[2] = 0.0; + } + else { + /* exceptional value, unclamped or nan, + * avoid uninitialized memory use */ + r_rgb[0] = 1.0; + r_rgb[1] = 0.0; + r_rgb[2] = 1.0; + } - return r_rgb; + return r_rgb; } #define DECOMPRESS_RANGE 1.0039 void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); #ifdef USE_WEIGHT - finalColor = vec4(weight_to_rgb(color * DECOMPRESS_RANGE), 1.0); + finalColor = vec4(weight_to_rgb(color * DECOMPRESS_RANGE), 1.0); #else - finalColor = mix(colorWire, colorEdgeSelect, color); + finalColor = mix(colorWire, colorEdgeSelect, color); #endif #ifdef USE_POINTS - gl_PointSize = sizeVertex; + gl_PointSize = sizeVertex; - /* calculate concentric radii in pixels */ - float radius = 0.5 * sizeVertex; + /* calculate concentric radii in pixels */ + float radius = 0.5 * sizeVertex; - /* start at the outside and progress toward the center */ - radii[0] = radius; - radii[1] = radius - 1.0; + /* start at the outside and progress toward the center */ + radii[0] = radius; + radii[1] = radius - 1.0; - /* convert to PointCoord units */ - radii /= sizeVertex; + /* convert to PointCoord units */ + radii /= sizeVertex; #endif } diff --git a/source/blender/draw/modes/shaders/sculpt_mask_vert.glsl b/source/blender/draw/modes/shaders/sculpt_mask_vert.glsl index 553a49f38df..5ae97ec5cb9 100644 --- a/source/blender/draw/modes/shaders/sculpt_mask_vert.glsl +++ b/source/blender/draw/modes/shaders/sculpt_mask_vert.glsl @@ -8,8 +8,8 @@ out vec4 finalColor; void main() { - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); - float mask = 1.0 - msk * 0.75; - finalColor = vec4(mask, mask, mask, 1.0); + float mask = 1.0 - msk * 0.75; + finalColor = vec4(mask, mask, mask, 1.0); } diff --git a/source/blender/draw/modes/shaders/volume_velocity_vert.glsl b/source/blender/draw/modes/shaders/volume_velocity_vert.glsl index 574c434920e..32207afa0b1 100644 --- a/source/blender/draw/modes/shaders/volume_velocity_vert.glsl +++ b/source/blender/draw/modes/shaders/volume_velocity_vert.glsl @@ -10,106 +10,104 @@ uniform int sliceAxis; /* -1 is no slice, 0 is X, 1 is Y, 2 is Z. */ flat out vec4 finalColor; -const vec3 corners[4] = vec3[4]( - vec3(0.0, 0.2, -0.5), - vec3(-0.2 * 0.866, -0.2 * 0.5, -0.5), - vec3(0.2 * 0.866, -0.2 * 0.5, -0.5), - vec3(0.0, 0.0, 0.5) -); +const vec3 corners[4] = vec3[4](vec3(0.0, 0.2, -0.5), + vec3(-0.2 * 0.866, -0.2 * 0.5, -0.5), + vec3(0.2 * 0.866, -0.2 * 0.5, -0.5), + vec3(0.0, 0.0, 0.5)); -const int indices[12] = int[12](0, 1, 1, 2, 2, 0, 0, 3, 1, 3, 2, 3); +const int indices[12] = int[12](0, 1, 1, 2, 2, 0, 0, 3, 1, 3, 2, 3); /* Straight Port from BKE_defvert_weight_to_rgb() * TODO port this to a color ramp. */ vec3 weight_to_color(float weight) { - vec3 r_rgb = vec3(0.0); - float blend = ((weight / 2.0) + 0.5); - - if (weight <= 0.25) { /* blue->cyan */ - r_rgb.g = blend * weight * 4.0; - r_rgb.b = blend; - } - else if (weight <= 0.50) { /* cyan->green */ - r_rgb.g = blend; - r_rgb.b = blend * (1.0 - ((weight - 0.25) * 4.0)); - } - else if (weight <= 0.75) { /* green->yellow */ - r_rgb.r = blend * ((weight - 0.50) * 4.0); - r_rgb.g = blend; - } - else if (weight <= 1.0) { /* yellow->red */ - r_rgb.r = blend; - r_rgb.g = blend * (1.0 - ((weight - 0.75) * 4.0)); - } - else { - /* exceptional value, unclamped or nan, - * avoid uninitialized memory use */ - r_rgb = vec3(1.0, 0.0, 1.0); - } - - return r_rgb; + vec3 r_rgb = vec3(0.0); + float blend = ((weight / 2.0) + 0.5); + + if (weight <= 0.25) { /* blue->cyan */ + r_rgb.g = blend * weight * 4.0; + r_rgb.b = blend; + } + else if (weight <= 0.50) { /* cyan->green */ + r_rgb.g = blend; + r_rgb.b = blend * (1.0 - ((weight - 0.25) * 4.0)); + } + else if (weight <= 0.75) { /* green->yellow */ + r_rgb.r = blend * ((weight - 0.50) * 4.0); + r_rgb.g = blend; + } + else if (weight <= 1.0) { /* yellow->red */ + r_rgb.r = blend; + r_rgb.g = blend * (1.0 - ((weight - 0.75) * 4.0)); + } + else { + /* exceptional value, unclamped or nan, + * avoid uninitialized memory use */ + r_rgb = vec3(1.0, 0.0, 1.0); + } + + return r_rgb; } mat3 rotation_from_vector(vec3 v) { - /* Add epsilon to avoid NaN. */ - vec3 N = normalize(v + 1e-8); - vec3 UpVector = abs(N.z) < 0.99999 ? vec3(0.0,0.0,1.0) : vec3(1.0,0.0,0.0); - vec3 T = normalize(cross(UpVector, N)); - vec3 B = cross(N, T); - return mat3(T, B, N); + /* Add epsilon to avoid NaN. */ + vec3 N = normalize(v + 1e-8); + vec3 UpVector = abs(N.z) < 0.99999 ? vec3(0.0, 0.0, 1.0) : vec3(1.0, 0.0, 0.0); + vec3 T = normalize(cross(UpVector, N)); + vec3 B = cross(N, T); + return mat3(T, B, N); } void main() { #ifdef USE_NEEDLE - int cell = gl_VertexID / 12; + int cell = gl_VertexID / 12; #else - int cell = gl_VertexID / 2; + int cell = gl_VertexID / 2; #endif - ivec3 volume_size = textureSize(velocityX, 0); - float voxel_size = 1.0 / float(max(max(volume_size.x, volume_size.y), volume_size.z)); - - ivec3 cell_ofs = ivec3(0); - ivec3 cell_div = volume_size; - if (sliceAxis == 0) { - cell_ofs.x = int(slicePosition * float(volume_size.x)); - cell_div.x = 1; - } - else if (sliceAxis == 1) { - cell_ofs.y = int(slicePosition * float(volume_size.y)); - cell_div.y = 1; - } - else if (sliceAxis == 2) { - cell_ofs.z = int(slicePosition * float(volume_size.z)); - cell_div.z = 1; - } - - ivec3 cell_co; - cell_co.x = cell % cell_div.x; - cell_co.y = (cell / cell_div.x) % cell_div.y; - cell_co.z = cell / (cell_div.x * cell_div.y); - cell_co += cell_ofs; - - vec3 pos = (vec3(cell_co) + 0.5) / vec3(volume_size); - pos = pos * 2.0 - 1.0; - - vec3 velocity; - velocity.x = texelFetch(velocityX, cell_co, 0).r; - velocity.y = texelFetch(velocityY, cell_co, 0).r; - velocity.z = texelFetch(velocityZ, cell_co, 0).r; - - finalColor = vec4(weight_to_color(length(velocity)), 1.0); + ivec3 volume_size = textureSize(velocityX, 0); + float voxel_size = 1.0 / float(max(max(volume_size.x, volume_size.y), volume_size.z)); + + ivec3 cell_ofs = ivec3(0); + ivec3 cell_div = volume_size; + if (sliceAxis == 0) { + cell_ofs.x = int(slicePosition * float(volume_size.x)); + cell_div.x = 1; + } + else if (sliceAxis == 1) { + cell_ofs.y = int(slicePosition * float(volume_size.y)); + cell_div.y = 1; + } + else if (sliceAxis == 2) { + cell_ofs.z = int(slicePosition * float(volume_size.z)); + cell_div.z = 1; + } + + ivec3 cell_co; + cell_co.x = cell % cell_div.x; + cell_co.y = (cell / cell_div.x) % cell_div.y; + cell_co.z = cell / (cell_div.x * cell_div.y); + cell_co += cell_ofs; + + vec3 pos = (vec3(cell_co) + 0.5) / vec3(volume_size); + pos = pos * 2.0 - 1.0; + + vec3 velocity; + velocity.x = texelFetch(velocityX, cell_co, 0).r; + velocity.y = texelFetch(velocityY, cell_co, 0).r; + velocity.z = texelFetch(velocityZ, cell_co, 0).r; + + finalColor = vec4(weight_to_color(length(velocity)), 1.0); #ifdef USE_NEEDLE - mat3 rot_mat = rotation_from_vector(velocity); - vec3 rotated_pos = rot_mat * corners[indices[gl_VertexID % 12]]; - pos += rotated_pos * length(velocity) * displaySize * voxel_size; + mat3 rot_mat = rotation_from_vector(velocity); + vec3 rotated_pos = rot_mat * corners[indices[gl_VertexID % 12]]; + pos += rotated_pos * length(velocity) * displaySize * voxel_size; #else - pos += (((gl_VertexID % 2) == 1) ? velocity : vec3(0.0)) * displaySize * voxel_size; + pos += (((gl_VertexID % 2) == 1) ? velocity : vec3(0.0)) * displaySize * voxel_size; #endif - gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); + gl_Position = ModelViewProjectionMatrix * vec4(pos, 1.0); } -- cgit v1.2.3